{ "cells": [ { "cell_type": "code", "execution_count": 5, "id": "ddd3d75c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization success: True fval: 9.584410082693601\n", "theta (p,a,b,s,k,theta): (0.050834303934385656, 1146.3087450536966, 499.23743204936085, 0.7180283685045662, 194.77578101720397, 0.007591759694435857) ratio(th): 0.9985981807099299\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Constrained Bayesian fit (Gamma for NC, Beta-Prime for AE) — no regularization, no r-prior\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "import scipy.io as io\n", "\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3] # 0=NC, 1=AE\n", "\n", "# Feature X = max SUV_94 per subject; label y = flags\n", "X = np.nanmax(suv[:, :, 94], axis=1).astype(float).ravel()\n", "y = np.asarray(flags, int).ravel()\n", "\n", "# Guard for logs\n", "X = np.clip(X, 1e-12, None)\n", "p_emp = float(y.mean())\n", "\n", "# Small helpers\n", "\n", "def logistic(z):\n", " z = np.clip(z, -60, 60)\n", " return 1.0 / (1.0 + np.exp(-z))\n", "\n", "def sigmoid(t):\n", " return 1.0 / (1.0 + np.exp(-t))\n", "\n", "def softplus(t):\n", " t = np.asarray(t, float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0.0)\n", "\n", "# dE(x) pieces for log-odds\n", "def dE_ess(x, a, b, s, k, th):\n", " x = np.asarray(x, float)\n", " return (a - k) * np.log(x) - (a + b) * np.log1p(x / s) + x / th\n", "\n", "def dE_const(a, b, s, k, th):\n", " return -(a * np.log(s)) - betaln(a, b) + k * np.log(th) + gammaln(k)\n", "\n", "def dE_full(x, a, b, s, k, th):\n", " return dE_ess(x, a, b, s, k, th) + dE_const(a, b, s, k, th)\n", "\n", "# Monotonicity cap for theta\n", "def theta_max(a, b, k, s, eps=1e-12):\n", " A = a - k\n", " if A <= 0:\n", " return np.inf\n", " r = np.sqrt(a + b) - np.sqrt(max(A, eps))\n", " if r <= 1e-12:\n", " return np.inf\n", " return s / (r * r)\n", "\n", "# φ = [p_raw, b_raw, s_raw, k_raw, d_raw, u_raw] (unconstrained)\n", "def unpack_phi_mono(phi):\n", " p_raw, b_raw, s_raw, k_raw, d_raw, u_raw = phi\n", " p = sigmoid(p_raw) # (0,1)\n", " b = softplus(b_raw) + 1e-6 # >0\n", " s = softplus(s_raw) + 1e-6 # >0\n", " k = softplus(k_raw) + 1e-6 # >0\n", " delta = softplus(d_raw) + 1e-6 # >0\n", " a = k + delta # enforce a > k\n", " th_cap = theta_max(a, b, k, s) # theta cap from monotonicity\n", " th = th_cap * sigmoid(u_raw) # 0 < theta <= th_cap\n", " return p, a, b, s, k, th\n", "\n", "# Prior on p \n", "TAU = 25.0 # shrink toward empirical AE rate\n", "alpha = max(TAU * p_emp, 1e-6)\n", "beta = max(TAU * (1.0 - p_emp), 1e-6)\n", "\n", "#prior_r = None\n", "#prior_r = (1.01, 1.01)\n", "prior_r = (1.05, 1.05)\n", "#prior_r = (3, 3)\n", "#prior_r = (1.2, 1.2)\n", "# Objective: negative log-posterior (likelihood + Beta prior on p)\n", "def neg_post_phi_mono(phi, X, y):\n", " p, a, b, s, k, th = unpack_phi_mono(phi)\n", " eps = 1e-12\n", "\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(X, a, b, s, k, th)\n", " px = logistic(L)\n", " nll = -np.sum(y * np.log(px + eps) + (1 - y) * np.log(1 - px + eps))\n", "\n", " # Beta(alpha, beta) prior on p → negative log-prior\n", " npr_p = -((alpha - 1) * np.log(p + eps) + (beta - 1) * np.log(1 - p + eps))\n", "\n", " if prior_r is None: return nll + npr_p\n", " \n", " # Prior on r = theta / theta_max (softly avoid boundaries)\n", " thcap = theta_max(a, b, k, s)\n", " if np.isfinite(thcap) and thcap > 0:\n", " r = np.clip(th / thcap, 1e-9, 1 - 1e-9)\n", " # Negative log Beta prior: -[(α-1)log r + (β-1)log(1-r)] (const dropped)\n", " npr_r = -((prior_r[0] -1) * np.log(r) + (prior_r[1]-1)* np.log(1.0 - r))\n", " else:\n", " npr_r = 0.0\n", "\n", " return nll + npr_p + npr_r\n", "\n", "# Initialization (stable, simple)\n", "def init_phi(X, y):\n", " # Gamma(k, theta) MoM for NC group (only need k0 as a safe size proxy)\n", " X0 = X[y == 0]\n", " m0 = X0.mean() if X0.size else X.mean()\n", " v0 = X0.var() if X0.size else X.var()\n", " k0 = 2.0 if v0 <= 0 else max((m0**2)/(v0 + 1e-9), 1.5)\n", "\n", " # AE median to seed s0\n", " X1 = X[y == 1]\n", " m1 = np.median(X1) if X1.size else np.median(X)\n", "\n", " p0 = np.clip(float(y.mean()), 1e-3, 1 - 1e-3)\n", " b0, s0 = 1.5, max(m1, 0.5)\n", "\n", " return np.array([\n", " np.log(p0 / (1 - p0)), # p_raw\n", " np.log(np.expm1(b0) + 1e-9), # b_raw\n", " np.log(np.expm1(s0) + 1e-9), # s_raw\n", " np.log(np.expm1(k0) + 1e-9), # k_raw\n", " np.log(np.expm1(1.0) + 1e-9), # d_raw (delta)\n", " -0.2 # u_raw (keeps theta a bit below cap initially)\n", " ], float)\n", "\n", "# Fit wrapper (one retry)\n", "def fit_bayes_mono(X, y, phi_start=None, rng=None):\n", " if rng is None:\n", " rng = np.random.default_rng(0)\n", " if phi_start is None:\n", " phi_start = init_phi(X, y)\n", "\n", " obj = lambda phi: neg_post_phi_mono(phi, X, y)\n", "\n", " res = optimize.minimize(\n", " obj, phi_start, method=\"L-BFGS-B\",\n", " options={\"maxiter\": 6000, \"ftol\": 1e-9}\n", " )\n", " if not (res.success and np.isfinite(res.fun)):\n", " phi_try = phi_start + rng.normal(0, 0.2, size=phi_start.shape)\n", " res = optimize.minimize(\n", " obj, phi_try, method=\"L-BFGS-B\",\n", " options={\"maxiter\": 6000, \"ftol\": 1e-9}\n", " )\n", " return unpack_phi_mono(res.x), res\n", "\n", "# prediction \n", "def P_with(theta, x):\n", " p, a, b, s, k, th = theta\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(x, a, b, s, k, th)\n", " return logistic(L)\n", "\n", "# Run fit + plot\n", "theta_hat, res = fit_bayes_mono(X, y)\n", "print(\"Optimization success:\", res.success, \" fval:\", float(res.fun))\n", "\n", "(p,a,b,s,k,th) = theta_hat\n", "thcap = theta_max(a, b, k, s)\n", "print(\"theta (p,a,b,s,k,theta):\", tuple(float(t) for t in theta_hat), \"ratio(th):\", th/thcap)\n", "\n", "# x-range (cap right end at 10 for readability)\n", "x_lo = max(1e-6, float(X.min()) * 0.8)\n", "x_hi = min(10.0, float(X.max()) * 1.2)\n", "xg = np.linspace(x_lo, x_hi, 600)\n", "p_curve = P_with(theta_hat, xg)\n", "\n", "\n", "\n", "\n", "fig, ax = plt.subplots(figsize=(7.0, 4.6), dpi=140)\n", "ax.plot(xg, p_curve, color=\"#000000\", lw=2.2, label=\"P(AE|x) (MAP)\")\n", "\n", "# overlay data with tiny vertical jitter so points don't overlap\n", "rng_plot = np.random.default_rng(999)\n", "jit = (rng_plot.random(len(y)) - 0.5) * 0.06\n", "ax.scatter(X[y==0], (y + jit)[y==0], s=22, alpha=0.55, color=\"#2ca02c\", edgecolors='none', label='NC')\n", "ax.scatter(X[y==1], (y + jit)[y==1], s=26, alpha=0.75, color=\"#ff7f0e\", edgecolors='none', label='AE')\n", "\n", "ax.set_ylim(-0.05, 1.05)\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('P(AE | x)')\n", "\n", "if prior_r is None:\n", " ax.set_title('Constrained Bayesian fit (no regularization, prior on p)')\n", "else:\n", " ax.set_title(f'Constrained Bayesian fit (no regularization, prior on p and prior r{prior_r})')\n", "\n", "ax.grid(alpha=0.3)\n", "ax.legend(loc='lower right', frameon=False)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "id": "6f04de68", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization success: True fval: 11.975266990897317\n", "theta (p,a,b,s,k,theta): (0.0502150135696621, 0.03303042577421738, 6.4299557431280285e-06, 42.28265978048334, 0.03302942577421732, 0.17581764521618332) ratio(th): 0.00013586478816393\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ======= simple comparison: with vs without prior_b =======\n", "\n", "from math import isfinite\n", "from scipy import optimize\n", "\n", "def nll_only(theta, X, y):\n", " p,a,b,s,k,th = theta\n", " eps = 1e-12\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(X, a, b, s, k, th)\n", " px = logistic(L)\n", " return float(-np.sum(y * np.log(px + eps) + (1 - y) * np.log(1 - px + eps)))\n", "\n", "def x_at_50(theta):\n", " # solve L(x)=0 on a reasonable bracket\n", " p,a,b,s,k,th = theta\n", " def Lx(x):\n", " return (np.log(p) - np.log(1 - p)) + dE_full(x, a, b, s, k, th)\n", " lo = max(1e-8, float(X.min())*0.2)\n", " hi = max(lo*1.1, float(X.max())*2.0)\n", " # expand bracket if signs equal\n", " for _ in range(40):\n", " if Lx(lo) <= 0 <= Lx(hi): break\n", " hi *= 1.5\n", " try:\n", " root = optimize.brentq(lambda t: Lx(t), lo, hi, maxiter=200)\n", " return float(root)\n", " except Exception:\n", " return float(\"nan\")\n", "\n", "def slope_at_50(theta, x0):\n", " # dL/dx = (a-k)/x - (a+b)/(s+x) + 1/theta; at P=0.5, dP/dx = 0.25*dL/dx\n", " if not isfinite(x0): return float(\"nan\")\n", " p,a,b,s,k,th = theta\n", " dLdx = (a - k)/x0 - (a + b)/(s + x0) + 1.0/th\n", " return 0.25 * float(dLdx)\n", "\n", "def fit_with_prior_b(pb):\n", " # save, set, fit, restore\n", " global prior_b\n", " prior_b_backup = prior_b\n", " prior_b = pb\n", " theta, res = fit_bayes_mono(X, y)\n", " prior_b = prior_b_backup\n", " return theta, res\n", "\n", "def summarize(label, theta):\n", " p,a,b,s,k,th = theta\n", " thcap = theta_max(a,b,k,s)\n", " print(f\"\\n[{label}]\")\n", " print(\" params: p={:.4f}, a={:.4f}, b={:.4f}, s={:.4f}, k={:.4f}, theta={:.4f}, r=theta/theta_max={:.3f}\"\n", " .format(p,a,b,s,k,th, th/thcap if np.isfinite(thcap) and thcap>0 else float('nan')))\n", " print(\" pivots: k*theta={:.5g}, (a/b)*s={:.5g}\".format(k*th, (a/b)*s))\n", " print(\" train logloss (avg nll): {:.6f}\".format(nll_only(theta, X, y)/len(y)))\n", " x05 = x_at_50(theta)\n", " print(\" x@50% ≈ {:.4f}, slope@50% ≈ {:.5f}\".format(x05, slope_at_50(theta, x05)))\n", "\n", "# fit both ways\n", "theta_nopb, _ = fit_with_prior_b(None)\n", "theta_pb, _ = fit_with_prior_b((0.0, 1.0)) # your current prior\n", "\n", "# print summaries\n", "summarize(\"no b prior\", theta_nopb)\n", "summarize(\"with b prior (0,1)\", theta_pb)\n", "\n", "# overlay plot\n", "x_lo = max(1e-6, float(X.min()) * 0.6)\n", "x_hi = max(10.0, float(X.max()) * 1.4)\n", "xg = np.linspace(x_lo, x_hi, 800)\n", "plt.figure(figsize=(7.0, 4.6), dpi=140)\n", "plt.plot(xg, P_with(theta_nopb, xg), lw=2.0, label=\"no b prior\")\n", "plt.plot(xg, P_with(theta_pb, xg), lw=2.0, linestyle=\"--\", label=\"b prior (0,1)\")\n", "plt.scatter(X[y==0], y[y==0]*0, s=20, alpha=0.35, color=\"#2ca02c\")\n", "plt.scatter(X[y==1], y[y==1]*1, s=24, alpha=0.55, color=\"#ff7f0e\")\n", "plt.ylim(-0.05, 1.05); plt.xlabel(\"x\"); plt.ylabel(\"P(AE|x)\")\n", "plt.title(\"Effect of b prior on decision curve\")\n", "plt.grid(alpha=0.3); plt.legend(frameon=False); plt.tight_layout(); plt.show()\n", "# =========================================================\n" ] }, { "cell_type": "code", "execution_count": 22, "id": "0a45eb77", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "[no b prior]\n", " params: p=0.0502, a=0.0330, b=0.0000, s=42.2827, k=0.0330, theta=0.1758, r=theta/theta_max=0.000\n", " pivots: k*theta=0.0058072, (a/b)*s=2.172e+05\n", " train logloss (avg nll): 0.127486\n", " x@50% ≈ 2.0545, slope@50% ≈ 1.42174\n", "\n", "[with b prior (0,1)]\n", " params: p=0.0502, a=1.4315, b=0.9999, s=92.9335, k=1.4315, theta=0.1750, r=theta/theta_max=0.005\n", " pivots: k*theta=0.25055, (a/b)*s=133.04\n", " train logloss (avg nll): 0.127487\n", " x@50% ≈ 2.0545, slope@50% ≈ 1.42194\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ======= simple comparison: with vs without prior_b =======\n", "\n", "from math import isfinite\n", "from scipy import optimize\n", "\n", "def nll_only(theta, X, y):\n", " p,a,b,s,k,th = theta\n", " eps = 1e-12\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(X, a, b, s, k, th)\n", " px = logistic(L)\n", " return float(-np.sum(y * np.log(px + eps) + (1 - y) * np.log(1 - px + eps)))\n", "\n", "def x_at_50(theta):\n", " # solve L(x)=0 on a reasonable bracket\n", " p,a,b,s,k,th = theta\n", " def Lx(x):\n", " return (np.log(p) - np.log(1 - p)) + dE_full(x, a, b, s, k, th)\n", " lo = max(1e-8, float(X.min())*0.2)\n", " hi = max(lo*1.1, float(X.max())*2.0)\n", " # expand bracket if signs equal\n", " for _ in range(40):\n", " if Lx(lo) <= 0 <= Lx(hi): break\n", " hi *= 1.5\n", " try:\n", " root = optimize.brentq(lambda t: Lx(t), lo, hi, maxiter=200)\n", " return float(root)\n", " except Exception:\n", " return float(\"nan\")\n", "\n", "def slope_at_50(theta, x0):\n", " # dL/dx = (a-k)/x - (a+b)/(s+x) + 1/theta; at P=0.5, dP/dx = 0.25*dL/dx\n", " if not isfinite(x0): return float(\"nan\")\n", " p,a,b,s,k,th = theta\n", " dLdx = (a - k)/x0 - (a + b)/(s + x0) + 1.0/th\n", " return 0.25 * float(dLdx)\n", "\n", "def fit_with_prior_b(pb):\n", " # save, set, fit, restore\n", " global prior_b\n", " prior_b_backup = prior_b\n", " prior_b = pb\n", " theta, res = fit_bayes_mono(X, y)\n", " prior_b = prior_b_backup\n", " return theta, res\n", "\n", "def summarize(label, theta):\n", " p,a,b,s,k,th = theta\n", " thcap = theta_max(a,b,k,s)\n", " print(f\"\\n[{label}]\")\n", " print(\" params: p={:.4f}, a={:.4f}, b={:.4f}, s={:.4f}, k={:.4f}, theta={:.4f}, r=theta/theta_max={:.3f}\"\n", " .format(p,a,b,s,k,th, th/thcap if np.isfinite(thcap) and thcap>0 else float('nan')))\n", " print(\" pivots: k*theta={:.5g}, (a/b)*s={:.5g}\".format(k*th, (a/b)*s))\n", " print(\" train logloss (avg nll): {:.6f}\".format(nll_only(theta, X, y)/len(y)))\n", " x05 = x_at_50(theta)\n", " print(\" x@50% ≈ {:.4f}, slope@50% ≈ {:.5f}\".format(x05, slope_at_50(theta, x05)))\n", "\n", "# fit both ways\n", "theta_nopb, _ = fit_with_prior_b(None)\n", "theta_pb, _ = fit_with_prior_b((0.0, 1.0)) # your current prior\n", "\n", "# print summaries\n", "summarize(\"no b prior\", theta_nopb)\n", "summarize(\"with b prior (0,1)\", theta_pb)\n", "\n", "# overlay plot\n", "x_lo = max(1e-6, float(X.min()) * 0.6)\n", "x_hi = max(10.0, float(X.max()) * 1.4)\n", "xg = np.linspace(x_lo, x_hi, 800)\n", "plt.figure(figsize=(7.0, 4.6), dpi=140)\n", "plt.plot(xg, P_with(theta_nopb, xg), lw=2.0, label=\"no b prior\")\n", "plt.plot(xg, P_with(theta_pb, xg), lw=2.0, linestyle=\"--\", label=\"b prior (0,1)\")\n", "plt.scatter(X[y==0], y[y==0]*0, s=20, alpha=0.35, color=\"#2ca02c\")\n", "plt.scatter(X[y==1], y[y==1]*1, s=24, alpha=0.55, color=\"#ff7f0e\")\n", "plt.ylim(-0.05, 1.05); plt.xlabel(\"x\"); plt.ylabel(\"P(AE|x)\")\n", "plt.title(\"Effect of b prior on decision curve\")\n", "plt.grid(alpha=0.3); plt.legend(frameon=False); plt.tight_layout(); plt.show()\n", "# =========================================================\n" ] }, { "cell_type": "code", "execution_count": 23, "id": "f8024031", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "[no b prior]\n", " b = 6.43e-06\n", " (a/b)*s = 2.172e+05 k*theta = 0.0058072\n", " x@50% = 2.0545 slope@50% = 1.42174\n", " avg nll = 0.127486\n", " theta/theta_max = 0.000\n", "\n", "[b prior (0,1)]\n", " b = 0.9999\n", " (a/b)*s = 133.04 k*theta = 0.25055\n", " x@50% = 2.0545 slope@50% = 1.42194\n", " avg nll = 0.127487\n", " theta/theta_max = 0.005\n", "\n", "[b prior (0,0.5)]\n", " b = 0.9672\n", " (a/b)*s = 28.718 k*theta = 0.0001194\n", " x@50% = 1.9494 slope@50% = 1.47399\n", " avg nll = 0.110071\n", " theta/theta_max = 1.000\n", "\n", "[b prior (0,0.3)]\n", " b = 0.9883\n", " (a/b)*s = 28.386 k*theta = 0.00011555\n", " x@50% = 1.9497 slope@50% = 1.47328\n", " avg nll = 0.110121\n", " theta/theta_max = 1.000\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ===== Compare effect of b prior =====\n", "\n", "from scipy import optimize\n", "import numpy as np\n", "\n", "def nll_only(theta, X, y):\n", " p,a,b,s,k,th = theta\n", " eps = 1e-12\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(X, a, b, s, k, th)\n", " px = logistic(L)\n", " return float(-np.sum(y * np.log(px + eps) + (1 - y) * np.log(1 - px + eps)))\n", "\n", "def x_at_50(theta):\n", " p,a,b,s,k,th = theta\n", " def Lx(x):\n", " return (np.log(p) - np.log(1 - p)) + dE_full(x, a, b, s, k, th)\n", " lo = max(1e-6, float(X.min())*0.5)\n", " hi = max(float(X.max())*1.5, lo*2)\n", " # widen bracket if needed\n", " for _ in range(30):\n", " if Lx(lo) <= 0 <= Lx(hi): break\n", " hi *= 1.5\n", " try:\n", " return optimize.brentq(lambda t: Lx(t), lo, hi, maxiter=200)\n", " except Exception:\n", " return float('nan')\n", "\n", "def slope_at_50(theta, x0):\n", " if not np.isfinite(x0): return float('nan')\n", " p,a,b,s,k,th = theta\n", " dLdx = (a - k)/x0 - (a + b)/(s + x0) + 1.0/th\n", " return 0.25 * float(dLdx) # since dP/dx = P(1-P)*dL/dx and P=0.5\n", "\n", "def fit_with_prior_b(pb):\n", " global prior_b\n", " bak = prior_b\n", " prior_b = pb\n", " theta, _ = fit_bayes_mono(X, y)\n", " prior_b = bak\n", " return theta\n", "\n", "def summarize(label, theta):\n", " p,a,b,s,k,th = theta\n", " thcap = theta_max(a,b,k,s)\n", " print(f\"\\n[{label}]\")\n", " print(f\" b = {b:.4g}\")\n", " print(f\" (a/b)*s = {(a/b)*s:.5g} k*theta = {k*th:.5g}\")\n", " x50 = x_at_50(theta)\n", " print(f\" x@50% = {x50:.4f} slope@50% = {slope_at_50(theta, x50):.5f}\")\n", " print(f\" avg nll = {nll_only(theta, X, y)/len(y):.6f}\")\n", " print(f\" theta/theta_max = {th/thcap:.3f}\")\n", "\n", "# baseline (no b prior) vs weak prior vs stronger priors\n", "settings = [\n", " (\"no b prior\", None),\n", " (\"b prior (0,1)\", (0.0, 1.0)),\n", " (\"b prior (0,0.5)\", (0.0, 0.5)),\n", " (\"b prior (0,0.3)\", (0.0, 0.3)),\n", "]\n", "\n", "results = []\n", "for label, pb in settings:\n", " theta = fit_with_prior_b(pb)\n", " summarize(label, theta)\n", " results.append((label, theta))\n", "\n", "# overlay curves\n", "xg = np.linspace(max(1e-6, float(X.min())*0.6), max(10.0, float(X.max())*1.4), 800)\n", "plt.figure(figsize=(7.0, 4.6), dpi=140)\n", "for label, theta in results:\n", " style = \"--\" if \"0,1\" in label else \"-.\" if \"0,0.5\" in label else \":\" if \"0,0.3\" in label else \"-\"\n", " plt.plot(xg, P_with(theta, xg), lw=2.0, linestyle=style, label=label)\n", "plt.scatter(X[y==0], y[y==0]*0, s=18, alpha=0.35, color=\"#2ca02c\")\n", "plt.scatter(X[y==1], y[y==1]*1, s=22, alpha=0.55, color=\"#ff7f0e\")\n", "plt.ylim(-0.05, 1.05); plt.xlabel(\"x\"); plt.ylabel(\"P(AE|x)\")\n", "plt.title(\"Effect of b prior on decision curve\")\n", "plt.grid(alpha=0.3); plt.legend(frameon=False); plt.tight_layout(); plt.show()\n" ] }, { "cell_type": "code", "execution_count": 24, "id": "d7a56066", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "[no b prior]\n", " b = 6.43e-06\n", " (a/b)*s = 2.172e+05 k*theta = 0.0058072\n", " x@50% = 2.0545 slope@50% = 1.42174\n", " avg nll = 0.127486\n", " theta/theta_max = 0.000\n", "\n", "[b prior (0,1)]\n", " b = 0.9999\n", " (a/b)*s = 133.04 k*theta = 0.25055\n", " x@50% = 2.0545 slope@50% = 1.42194\n", " avg nll = 0.127487\n", " theta/theta_max = 0.005\n", "\n", "[b prior (0,0.5)]\n", " b = 0.9672\n", " (a/b)*s = 28.718 k*theta = 0.0001194\n", " x@50% = 1.9494 slope@50% = 1.47399\n", " avg nll = 0.110071\n", " theta/theta_max = 1.000\n", "\n", "[b prior (0,0.3)]\n", " b = 0.9883\n", " (a/b)*s = 28.386 k*theta = 0.00011555\n", " x@50% = 1.9497 slope@50% = 1.47328\n", " avg nll = 0.110121\n", " theta/theta_max = 1.000\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ===== Compare effect of b prior =====\n", "\n", "from scipy import optimize\n", "import numpy as np\n", "\n", "def nll_only(theta, X, y):\n", " p,a,b,s,k,th = theta\n", " eps = 1e-12\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(X, a, b, s, k, th)\n", " px = logistic(L)\n", " return float(-np.sum(y * np.log(px + eps) + (1 - y) * np.log(1 - px + eps)))\n", "\n", "def x_at_50(theta):\n", " p,a,b,s,k,th = theta\n", " def Lx(x):\n", " return (np.log(p) - np.log(1 - p)) + dE_full(x, a, b, s, k, th)\n", " lo = max(1e-6, float(X.min())*0.5)\n", " hi = max(float(X.max())*1.5, lo*2)\n", " # widen bracket if needed\n", " for _ in range(30):\n", " if Lx(lo) <= 0 <= Lx(hi): break\n", " hi *= 1.5\n", " try:\n", " return optimize.brentq(lambda t: Lx(t), lo, hi, maxiter=200)\n", " except Exception:\n", " return float('nan')\n", "\n", "def slope_at_50(theta, x0):\n", " if not np.isfinite(x0): return float('nan')\n", " p,a,b,s,k,th = theta\n", " dLdx = (a - k)/x0 - (a + b)/(s + x0) + 1.0/th\n", " return 0.25 * float(dLdx) # since dP/dx = P(1-P)*dL/dx and P=0.5\n", "\n", "def fit_with_prior_b(pb):\n", " global prior_b\n", " bak = prior_b\n", " prior_b = pb\n", " theta, _ = fit_bayes_mono(X, y)\n", " prior_b = bak\n", " return theta\n", "\n", "def summarize(label, theta):\n", " p,a,b,s,k,th = theta\n", " thcap = theta_max(a,b,k,s)\n", " print(f\"\\n[{label}]\")\n", " print(f\" b = {b:.4g}\")\n", " print(f\" (a/b)*s = {(a/b)*s:.5g} k*theta = {k*th:.5g}\")\n", " x50 = x_at_50(theta)\n", " print(f\" x@50% = {x50:.4f} slope@50% = {slope_at_50(theta, x50):.5f}\")\n", " print(f\" avg nll = {nll_only(theta, X, y)/len(y):.6f}\")\n", " print(f\" theta/theta_max = {th/thcap:.3f}\")\n", "\n", "# baseline (no b prior) vs weak prior vs stronger priors\n", "settings = [\n", " (\"no b prior\", None),\n", " (\"b prior (0,1)\", (0.0, 1.0)),\n", " (\"b prior (0,0.5)\", (0.0, 0.5)),\n", " (\"b prior (0,0.3)\", (0.0, 0.3)),\n", "]\n", "\n", "results = []\n", "for label, pb in settings:\n", " theta = fit_with_prior_b(pb)\n", " summarize(label, theta)\n", " results.append((label, theta))\n", "\n", "# overlay curves\n", "xg = np.linspace(max(1e-6, float(X.min())*0.6), max(10.0, float(X.max())*1.4), 800)\n", "plt.figure(figsize=(7.0, 4.6), dpi=140)\n", "for label, theta in results:\n", " style = \"--\" if \"0,1\" in label else \"-.\" if \"0,0.5\" in label else \":\" if \"0,0.3\" in label else \"-\"\n", " plt.plot(xg, P_with(theta, xg), lw=2.0, linestyle=style, label=label)\n", "plt.scatter(X[y==0], y[y==0]*0, s=18, alpha=0.35, color=\"#2ca02c\")\n", "plt.scatter(X[y==1], y[y==1]*1, s=22, alpha=0.55, color=\"#ff7f0e\")\n", "plt.ylim(-0.05, 1.05); plt.xlabel(\"x\"); plt.ylabel(\"P(AE|x)\")\n", "plt.title(\"Effect of b prior on decision curve\")\n", "plt.grid(alpha=0.3); plt.legend(frameon=False); plt.tight_layout(); plt.show()\n" ] }, { "cell_type": "code", "execution_count": 25, "id": "4dbe2d9a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sample sizes — NC: 53, AE: 5\n" ] }, { "data": { "image/png": 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", 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ==== Distribution playground on your data: Gamma (NC) and Beta-Prime (AE) ====\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import gammaln, betaln\n", "\n", "# -------- load your data (same as before) --------\n", "data_path = \"../data/\"\n", "import scipy.io as io\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3] # 0=NC, 1=AE\n", "\n", "# Feature X = max SUV_94 per subject; label y = flags\n", "X = np.nanmax(suv[:, :, 94], axis=1).astype(float).ravel()\n", "y = np.asarray(flags, int).ravel()\n", "X = np.clip(X, 1e-12, None)\n", "\n", "X_NC = X[y == 0]\n", "X_AE = X[y == 1]\n", "\n", "# -------- Gamma (NC) --------\n", "def gamma_logpdf(x, k, th):\n", " x = np.asarray(x, float)\n", " return (k - 1)*np.log(np.clip(x, 1e-300, None)) - x/th - k*np.log(th) - gammaln(k)\n", "\n", "def gamma_pdf(x, k, th):\n", " return np.exp(gamma_logpdf(x, k, th))\n", "\n", "def gamma_stats(k, th):\n", " mean = k*th\n", " var = k*(th**2)\n", " mode = (k-1)*th if k > 1 else 0.0\n", " return mean, var, mode\n", "\n", "def fit_gamma_mle(x):\n", " x = np.asarray(x, float)\n", " m = float(np.mean(x)); v = float(np.var(x))\n", " k0 = max((m*m)/(v + 1e-12), 1.1)\n", " th0 = v / max(m, 1e-12)\n", " # unconstrained reparam via softplus\n", " def softplus(t): return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0)\n", " def unpack(w): \n", " k = softplus(w[0]) + 1e-6\n", " th= softplus(w[1]) + 1e-6\n", " return k, th\n", " def nll(w):\n", " k, th = unpack(w)\n", " return -np.sum(gamma_logpdf(x, k, th))\n", " w0 = np.log(np.expm1([k0, th0]) + 1e-12)\n", " res = optimize.minimize(nll, w0, method=\"L-BFGS-B\", options={\"maxiter\":5000, \"ftol\":1e-9})\n", " k_hat, th_hat = unpack(res.x)\n", " return float(k_hat), float(th_hat), res\n", "\n", "# -------- Beta-Prime (AE) --------\n", "# PDF: f(x)= 1/(s B(a,b)) * (x/s)^(a-1) * (1 + x/s)^-(a+b)\n", "def betaprime_logpdf(x, a, b, s):\n", " x = np.asarray(x, float)\n", " xs = x / s\n", " return -(np.log(s) + betaln(a, b)) + (a-1)*np.log(np.clip(xs, 1e-300, None)) - (a+b)*np.log1p(xs)\n", "\n", "def betaprime_pdf(x, a, b, s):\n", " return np.exp(betaprime_logpdf(x, a, b, s))\n", "\n", "def betaprime_stats(a, b, s):\n", " mean = np.inf if b <= 1 else a*s/(b-1)\n", " var = np.inf if b <= 2 else (a*(a+b-1)*s*s)/((b-2)*(b-1)**2)\n", " mode = 0.0 if a <= 1 else s*(a-1)/(b+1)\n", " tail_index = b + 1 # CCDF ~ x^(-b)\n", " return mean, var, mode, tail_index\n", "\n", "def fit_betaprime_mle(x):\n", " x = np.asarray(x, float)\n", " # robust-ish seeds\n", " s0 = max(np.median(x), 0.3)\n", " a0, b0 = 2.0, 1.5\n", " def softplus(t): return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0)\n", " def unpack(w):\n", " a = softplus(w[0]) + 1e-6\n", " b = softplus(w[1]) + 1e-6\n", " s = softplus(w[2]) + 1e-6\n", " return a, b, s\n", " def nll(w):\n", " a,b,s = unpack(w)\n", " return -np.sum(betaprime_logpdf(x, a, b, s))\n", " w0 = np.log(np.expm1([a0, b0, s0]) + 1e-12)\n", " res = optimize.minimize(nll, w0, method=\"L-BFGS-B\", options={\"maxiter\":8000, \"ftol\":1e-9})\n", " a_hat, b_hat, s_hat = unpack(res.x)\n", " return float(a_hat), float(b_hat), float(s_hat), res\n", "\n", "# -------- plotting helpers --------\n", "def _hist_with_density(ax, x, y_pdf, label_pdf, bins=20, xlim=None, logy=False):\n", " # histogram as density\n", " density, edges, _ = ax.hist(x, bins=bins, density=True, alpha=0.25, color=\"#808080\", edgecolor=\"none\", label=\"empirical\")\n", " if xlim is None:\n", " xlim = (max(1e-6, float(np.min(x))*0.8), float(np.max(x))*1.2)\n", " xg = np.linspace(xlim[0], xlim[1], 800)\n", " ax.plot(xg, y_pdf(xg), lw=2.2, color=\"#000000\", label=label_pdf)\n", " ax.set_xlim(*xlim)\n", " ax.set_xlabel(\"x\"); ax.set_ylabel(\"pdf(x)\")\n", " if logy: ax.set_yscale(\"log\")\n", " ax.grid(alpha=0.3)\n", " return xg\n", "\n", "def describe_stats_block(ax, text):\n", " ax.text(0.02, 0.98, text, transform=ax.transAxes, va=\"top\", ha=\"left\",\n", " fontsize=9, family=\"monospace\", bbox=dict(boxstyle=\"round\", facecolor=\"white\", alpha=0.7, lw=0))\n", "\n", "def fmt_finite(v, p=4):\n", " return \"∞\" if not np.isfinite(v) else f\"{v:.{p}g}\"\n", "\n", "# -------- main: fit + sweeps --------\n", "def analyze_nc_gamma(x_nc, bins=20, logy=False, sweep=\"k\", factors=(0.5, 0.75, 1.0, 1.25, 1.5)):\n", " k, th, _ = fit_gamma_mle(x_nc)\n", " mean, var, mode = gamma_stats(k, th)\n", " fig, ax = plt.subplots(1, 2, figsize=(11, 4.2), dpi=140)\n", " # baseline fit\n", " xg = _hist_with_density(ax[0], x_nc, lambda t: gamma_pdf(t, k, th), \"Gamma fit\", bins=bins, logy=logy)\n", " ax[0].set_title(\"NC: Gamma fit\")\n", " describe_stats_block(ax[0], f\"k={k:.3g}\\nθ={th:.3g}\\nmean={mean:.3g}\\nvar={fmt_finite(var)}\\nmode={mode:.3g}\")\n", " # sweep\n", " ax[1].hist(x_nc, bins=bins, density=True, alpha=0.15, color=\"#808080\", edgecolor=\"none\")\n", " for f in factors:\n", " kk, tt = (k*f, th) if sweep==\"k\" else (k, th*f)\n", " ax[1].plot(xg, gamma_pdf(xg, kk, tt), lw=2, label=f\"{sweep}×{f:g}\")\n", " ax[1].set_title(f\"NC: Gamma sweep ({sweep})\")\n", " ax[1].set_xlabel(\"x\"); ax[1].set_ylabel(\"pdf(x)\")\n", " if logy: ax[1].set_yscale(\"log\")\n", " ax[1].grid(alpha=0.3); ax[1].legend(frameon=False)\n", " plt.tight_layout(); plt.show()\n", "\n", "def analyze_ae_betaprime(x_ae, bins=20, logy=False, sweep=\"b\", factors=(0.5, 0.75, 1.0, 1.25, 1.5), xmax=None):\n", " a, b, s, _ = fit_betaprime_mle(x_ae)\n", " mean, var, mode, tail = betaprime_stats(a, b, s)\n", " # pick x-range that shows the head and some tail\n", " lo = max(1e-6, float(np.min(x_ae))*0.6)\n", " hi = float(np.max(x_ae))*1.8 if xmax is None else xmax\n", " xg = np.linspace(lo, hi, 800)\n", "\n", " fig, ax = plt.subplots(1, 2, figsize=(11, 4.2), dpi=140)\n", " # baseline fit\n", " def ypdf(t): return betaprime_pdf(t, a, b, s)\n", " ax[0].hist(x_ae, bins=bins, density=True, alpha=0.25, color=\"#808080\", edgecolor=\"none\", label=\"empirical\")\n", " ax[0].plot(xg, ypdf(xg), lw=2.2, color=\"#000000\", label=\"Beta-Prime fit\")\n", " ax[0].set_xlim(lo, hi); ax[0].set_xlabel(\"x\"); ax[0].set_ylabel(\"pdf(x)\")\n", " if logy: ax[0].set_yscale(\"log\")\n", " ax[0].grid(alpha=0.3); ax[0].set_title(\"AE: Beta-Prime fit\"); ax[0].legend(frameon=False)\n", " describe_stats_block(ax[0], f\"a={a:.3g}\\nb={b:.3g}\\ns={s:.3g}\\nmean={fmt_finite(mean)}\\nmode={mode:.3g}\\ntail~x^-{tail:.0f}\")\n", "\n", " # sweep one parameter\n", " ax[1].hist(x_ae, bins=bins, density=True, alpha=0.15, color=\"#808080\", edgecolor=\"none\")\n", " for f in factors:\n", " aa, bb, ss = a, b, s\n", " if sweep == \"a\": aa = a * f\n", " elif sweep == \"b\": bb = b * f\n", " elif sweep == \"s\": ss = s * f\n", " else: raise ValueError(\"sweep must be 'a', 'b', or 's'\")\n", " ax[1].plot(xg, betaprime_pdf(xg, aa, bb, ss), lw=2, label=f\"{sweep}×{f:g}\")\n", " ax[1].set_xlim(lo, hi); ax[1].set_xlabel(\"x\"); ax[1].set_ylabel(\"pdf(x)\")\n", " if logy: ax[1].set_yscale(\"log\")\n", " ax[1].grid(alpha=0.3); ax[1].set_title(f\"AE: Beta-Prime sweep ({sweep})\"); ax[1].legend(frameon=False)\n", " plt.tight_layout(); plt.show()\n", "\n", "def ae_tail_ccdf(x_ae, a=None, b=None, s=None, xmax=None):\n", " \"\"\"Log-log tail to see heaviness; if params given, overlay fitted CCDF.\"\"\"\n", " x = np.sort(x_ae)\n", " n = len(x)\n", " # empirical CCDF: P(X>=x_i) ≈ (n-i+1)/n\n", " ccdf_emp = 1.0 - np.arange(1, n+1)/n\n", " plt.figure(figsize=(6.4, 4.6), dpi=140)\n", " plt.loglog(x, np.maximum(ccdf_emp, 1e-12), 'o', ms=4, alpha=0.6, label=\"empirical\")\n", " if a is not None and b is not None and s is not None:\n", " # crude model CCDF by numerical integration of pdf\n", " hi = float(np.max(x_ae))*2.0 if xmax is None else xmax\n", " xx = np.logspace(np.log10(max(1e-6, float(np.min(x_ae))*0.5)), np.log10(hi), 2000)\n", " pdf = betaprime_pdf(xx, a, b, s)\n", " dx = np.diff(xx)\n", " ccdf = np.concatenate(([1.0], np.cumsum(pdf[::-1][:-1] * dx[::-1])))[::-1]\n", " plt.loglog(xx, np.maximum(ccdf, 1e-12), lw=2, label=f\"model a={a:.2g}, b={b:.2g}, s={s:.2g}\")\n", " plt.title(\"AE tail (CCDF)\"); plt.xlabel(\"x\"); plt.ylabel(\"P(X ≥ x)\")\n", " plt.grid(alpha=0.3, which=\"both\"); plt.legend(frameon=False); plt.tight_layout(); plt.show()\n", "\n", "# -------- run it on YOUR data --------\n", "print(f\"Sample sizes — NC: {len(X_NC)}, AE: {len(X_AE)}\")\n", "\n", "# Gamma (NC): see effect of k then theta\n", "analyze_nc_gamma(X_NC, bins=20, logy=False, sweep=\"k\", factors=(0.5, 0.8, 1.0, 1.2, 1.5))\n", "analyze_nc_gamma(X_NC, bins=20, logy=False, sweep=\"theta\", factors=(0.6, 0.8, 1.0, 1.2, 1.5))\n", "\n", "# Beta-Prime (AE): see effect of b, a, and s\n", "analyze_ae_betaprime(X_AE, bins=15, logy=True, sweep=\"b\", factors=(0.5, 0.8, 1.0, 1.2, 1.6), xmax=None)\n", "analyze_ae_betaprime(X_AE, bins=15, logy=False, sweep=\"a\", factors=(0.5, 0.8, 1.0, 1.2, 1.6))\n", "analyze_ae_betaprime(X_AE, bins=15, logy=False, sweep=\"s\", factors=(0.6, 0.8, 1.0, 1.2, 1.5))\n", "\n", "# AE tail view (optional): confirm how b controls heaviness\n", "a_hat, b_hat, s_hat, _ = fit_betaprime_mle(X_AE)\n", "ae_tail_ccdf(X_AE, a=a_hat, b=b_hat, s=s_hat)\n" ] }, { "cell_type": "code", "execution_count": 32, "id": "b73f9322", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization success: True fval: 11.97530234969316\n", "\n", "[priors: p Beta(2.16,22.84); r=None; b_prior=(0.0, 0.5)]\n", " params: p=0.0502, a=1.3825, b=1.0002, s=113.5448, k=1.3824, theta=0.1752\n", " theta/theta_max = 0.004\n", " avg NLL = 0.127487 Brier = 0.037294 AUC = 0.9811\n", " x@50% ≈ 2.0544 slope@50% ≈ 1.42189\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Constrained Bayesian fit (Gamma for NC, Beta-Prime for AE)\n", "# Switchable priors: prior_b on log b, prior_r on r = theta/theta_max\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "import scipy.io as io\n", "\n", "# ===================== Data =====================\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3] # 0=NC, 1=AE\n", "\n", "# Feature X = max SUV_94 per subject; label y = flags\n", "X = np.nanmax(suv[:, :, 94], axis=1).astype(float).ravel()\n", "y = np.asarray(flags, int).ravel()\n", "\n", "# Guard for logs\n", "X = np.clip(X, 1e-12, None)\n", "p_emp = float(y.mean())\n", "\n", "# ===================== Small helpers =====================\n", "def logistic(z):\n", " z = np.clip(z, -60, 60)\n", " return 1.0 / (1.0 + np.exp(-z))\n", "\n", "def sigmoid(t):\n", " return 1.0 / (1.0 + np.exp(-t))\n", "\n", "def softplus(t):\n", " t = np.asarray(t, float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0.0)\n", "\n", "# dE(x) pieces for log-odds\n", "def dE_ess(x, a, b, s, k, th):\n", " x = np.asarray(x, float)\n", " return (a - k) * np.log(x) - (a + b) * np.log1p(x / s) + x / th\n", "\n", "def dE_const(a, b, s, k, th):\n", " return -(a * np.log(s)) - betaln(a, b) + k * np.log(th) + gammaln(k)\n", "\n", "def dE_full(x, a, b, s, k, th):\n", " return dE_ess(x, a, b, s, k, th) + dE_const(a, b, s, k, th)\n", "\n", "# Monotonicity cap for theta\n", "def theta_max(a, b, k, s, eps=1e-12):\n", " A = a - k\n", " if A <= 0:\n", " return np.inf\n", " r = np.sqrt(a + b) - np.sqrt(max(A, eps))\n", " if r <= 1e-12:\n", " return np.inf\n", " return s / (r * r)\n", "\n", "# φ = [p_raw, b_raw, s_raw, k_raw, d_raw, u_raw] (unconstrained)\n", "def unpack_phi_mono(phi):\n", " p_raw, b_raw, s_raw, k_raw, d_raw, u_raw = phi\n", " p = sigmoid(p_raw) # (0,1)\n", " b = softplus(b_raw) + 1e-6 # >0\n", " s = softplus(s_raw) + 1e-6 # >0\n", " k = softplus(k_raw) + 1e-6 # >0\n", " delta = softplus(d_raw) + 1e-6 # >0\n", " a = k + delta # enforce a > k\n", " th_cap = theta_max(a, b, k, s) # theta cap from monotonicity\n", " th = th_cap * sigmoid(u_raw) # 0 < theta <= th_cap\n", " return p, a, b, s, k, th\n", "\n", "# ===================== Priors =====================\n", "TAU = 25.0 # shrink p toward empirical AE rate\n", "alpha = max(TAU * p_emp, 1e-6)\n", "beta = max(TAU * (1.0 - p_emp), 1e-6)\n", "\n", "# Toggle these like you wanted:\n", "#prior_r = None\n", "#prior_r = (1.05, 1.05)\n", "#prior_r = (3.0, 3.0)\n", "prior_r = None\n", "\n", "# NEW: weak Gaussian prior on log b (center, sd). None = off.\n", "#prior_b = None\n", "prior_b = (0.0, 0.5) # sensible weak prior: b ~ logN(0, 0.5^2), i.e., around 1 with wiggle\n", "#prior_b = None\n", "\n", "# ===================== Objective =====================\n", "def neg_post_phi_mono(phi, X, y):\n", " p, a, b, s, k, th = unpack_phi_mono(phi)\n", " eps = 1e-12\n", "\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(X, a, b, s, k, th)\n", " px = logistic(L)\n", " nll = -np.sum(y * np.log(px + eps) + (1 - y) * np.log(1 - px + eps))\n", "\n", " # Beta(alpha, beta) prior on p → negative log-prior\n", " npr_p = -((alpha - 1) * np.log(p + eps) + (beta - 1) * np.log(1 - p + eps))\n", "\n", " # NEW: Gaussian prior on log b\n", " if prior_b is not None:\n", " mu_log_b, sigma_log_b = prior_b\n", " npr_b = 0.5 * ((np.log(b + eps) - mu_log_b) / sigma_log_b) ** 2\n", " else:\n", " npr_b = 0.0\n", "\n", " if prior_r is None:\n", " return nll + npr_p + npr_b # CHANGED: include b-prior in early return\n", "\n", " # Prior on r = theta / theta_max (softly avoid boundaries)\n", " thcap = theta_max(a, b, k, s)\n", " if np.isfinite(thcap) and thcap > 0:\n", " r = np.clip(th / thcap, 1e-9, 1 - 1e-9)\n", " # Negative log Beta prior on r (const dropped)\n", " npr_r = -((prior_r[0] - 1) * np.log(r) + (prior_r[1] - 1) * np.log(1.0 - r))\n", " else:\n", " npr_r = 0.0\n", "\n", " return nll + npr_p + npr_b + npr_r\n", "\n", "# ===================== Init & fit =====================\n", "def init_phi(X, y):\n", " # Gamma(k, theta) MoM for NC group (only need k0 as a safe size proxy)\n", " X0 = X[y == 0]\n", " m0 = X0.mean() if X0.size else X.mean()\n", " v0 = X0.var() if X0.size else X.var()\n", " k0 = 2.0 if v0 <= 0 else max((m0**2)/(v0 + 1e-9), 1.5)\n", "\n", " # AE median to seed s0\n", " X1 = X[y == 1]\n", " m1 = np.median(X1) if X1.size else np.median(X)\n", "\n", " p0 = np.clip(float(y.mean()), 1e-3, 1 - 1e-3)\n", " b0, s0 = 1.5, max(m1, 0.5)\n", "\n", " return np.array([\n", " np.log(p0 / (1 - p0)), # p_raw\n", " np.log(np.expm1(b0) + 1e-9), # b_raw\n", " np.log(np.expm1(s0) + 1e-9), # s_raw\n", " np.log(np.expm1(k0) + 1e-9), # k_raw\n", " np.log(np.expm1(1.0) + 1e-9), # d_raw (delta)\n", " -0.2 # u_raw (keeps theta a bit below cap initially)\n", " ], float)\n", "\n", "def fit_bayes_mono(X, y, phi_start=None, rng=None):\n", " if rng is None:\n", " rng = np.random.default_rng(0)\n", " if phi_start is None:\n", " phi_start = init_phi(X, y)\n", "\n", " obj = lambda phi: neg_post_phi_mono(phi, X, y)\n", "\n", " res = optimize.minimize(\n", " obj, phi_start, method=\"L-BFGS-B\",\n", " options={\"maxiter\": 6000, \"ftol\": 1e-9}\n", " )\n", " if not (res.success and np.isfinite(res.fun)):\n", " phi_try = phi_start + rng.normal(0, 0.2, size=phi_start.shape)\n", " res = optimize.minimize(\n", " obj, phi_try, method=\"L-BFGS-B\",\n", " options={\"maxiter\": 6000, \"ftol\": 1e-9}\n", " )\n", " return unpack_phi_mono(res.x), res\n", "\n", "# prediction \n", "def P_with(theta, x):\n", " p, a, b, s, k, th = theta\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(x, a, b, s, k, th)\n", " return logistic(L)\n", "\n", "# ===================== Diagnostics (NEW) =====================\n", "def avg_nll(theta, X, y):\n", " eps = 1e-12\n", " px = P_with(theta, X)\n", " return float(-np.mean(y * np.log(px + eps) + (1 - y) * np.log(1 - px + eps)))\n", "\n", "def brier(theta, X, y):\n", " px = P_with(theta, X)\n", " return float(np.mean((px - y) ** 2))\n", "\n", "def auc(y_true, scores):\n", " y_true = np.asarray(y_true, int)\n", " scores = np.asarray(scores, float)\n", " pos = y_true == 1; neg = y_true == 0\n", " n_pos, n_neg = int(pos.sum()), int(neg.sum())\n", " if n_pos == 0 or n_neg == 0:\n", " return float('nan')\n", " order = np.argsort(scores)\n", " ranks = np.empty_like(order, dtype=float)\n", " ranks[order] = np.arange(1, len(scores) + 1)\n", " rank_sum_pos = ranks[pos].sum()\n", " auc_val = (rank_sum_pos - n_pos * (n_pos + 1) / 2.0) / (n_pos * n_neg)\n", " return float(auc_val)\n", "\n", "def x_at_50(theta):\n", " p,a,b,s,k,th = theta\n", " # L(x)=0 root\n", " def Lx(x): return (np.log(p) - np.log(1 - p)) + dE_full(x, a, b, s, k, th)\n", " lo = max(1e-6, float(X.min())*0.2)\n", " hi = max(float(X.max())*2.0, lo*1.1)\n", " for _ in range(40):\n", " if Lx(lo) <= 0 <= Lx(hi): break\n", " hi *= 1.5\n", " try:\n", " return float(optimize.brentq(Lx, lo, hi, maxiter=200))\n", " except Exception:\n", " return float('nan')\n", "\n", "def slope_at_50(theta, x0):\n", " if not np.isfinite(x0): return float('nan')\n", " p,a,b,s,k,th = theta\n", " dLdx = (a - k)/x0 - (a + b)/(s + x0) + 1.0/th\n", " return 0.25 * float(dLdx) # since dP/dx = P(1-P)*dL/dx and P=0.5\n", "\n", "def summarize_fit(theta, X, y, label=\"fit\"):\n", " p,a,b,s,k,th = theta\n", " thcap = theta_max(a,b,k,s)\n", " px = P_with(theta, X)\n", " print(f\"\\n[{label}]\")\n", " print(\" params: p={:.4f}, a={:.4f}, b={:.4f}, s={:.4f}, k={:.4f}, theta={:.4f}\".format(p,a,b,s,k,th))\n", " print(\" theta/theta_max = {:.3f}\".format(th / thcap if np.isfinite(thcap) and thcap>0 else float('nan')))\n", " print(\" avg NLL = {:.6f} Brier = {:.6f} AUC = {:.4f}\".format(avg_nll(theta, X, y), brier(theta, X, y), auc(y, px)))\n", " x50 = x_at_50(theta)\n", " print(\" x@50% ≈ {:.4f} slope@50% ≈ {:.5f}\".format(x50, slope_at_50(theta, x50)))\n", "\n", "# ===================== Run fit + plot =====================\n", "theta_hat, res = fit_bayes_mono(X, y)\n", "print(\"Optimization success:\", res.success, \" fval:\", float(res.fun))\n", "summarize_fit(theta_hat, X, y, label=f\"priors: p Beta({alpha:.2f},{beta:.2f}); r={prior_r}; b_prior={prior_b}\")\n", "\n", "(p,a,b,s,k,th) = theta_hat\n", "thcap = theta_max(a, b, k, s)\n", "x_lo = max(1e-6, float(X.min()) * 0.8)\n", "x_hi = min(10.0, float(X.max()) * 1.2)\n", "xg = np.linspace(x_lo, x_hi, 600)\n", "p_curve = P_with(theta_hat, xg)\n", "\n", "fig, ax = plt.subplots(figsize=(7.0, 4.6), dpi=140)\n", "ax.plot(xg, p_curve, color=\"#000000\", lw=2.2, label=\"P(AE|x) (MAP)\")\n", "\n", "# overlay data with tiny vertical jitter so points don't overlap\n", "rng_plot = np.random.default_rng(999)\n", "jit = (rng_plot.random(len(y)) - 0.5) * 0.06\n", "ax.scatter(X[y==0], (y + jit)[y==0], s=22, alpha=0.55, color=\"#2ca02c\", edgecolors='none', label='NC')\n", "ax.scatter(X[y==1], (y + jit)[y==1], s=26, alpha=0.75, color=\"#ff7f0e\", edgecolors='none', label='AE')\n", "\n", "ax.set_ylim(-0.05, 1.05)\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('P(AE | x)')\n", "\n", "title = 'Constrained Bayesian fit (prior on p'\n", "if prior_b is not None: title += f'; b prior={prior_b}'\n", "if prior_r is not None: title += f'; r={prior_r}'\n", "title += ')'\n", "ax.set_title(title)\n", "\n", "ax.grid(alpha=0.3)\n", "ax.legend(loc='lower right', frameon=False)\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 93, "id": "4fa8d7f0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization success: True fval: 12.095711809851293\n", "\n", "[priors: p Beta(2.16,22.84); r=(1.05, 1.05); b=None; s=(None, 0.35); delta=(0.0, 0.5)]\n", " params: p=0.0502, a=4.3436, b=0.7783, s=2.1142, k=3.3356, theta=0.1562\n", " delta=a-k = 1.007937\n", " (a/b)*s = 11.798998\n", " theta/theta_max = 0.117\n", " avg NLL = 0.127603 Brier = 0.037366 AUC = 0.9811\n", " x@50% ≈ 2.0562 slope@50% ≈ 1.41594\n" ] }, { "data": { "image/png": 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8QJUrVzYPbSKdFdqNxCq3LoP+Bvo91jlEj6lZ4XoO0GXQ9aPztLZpb8dTf88fvloj6x3Uiy66KH0+tWrVMr+NdRzSc4Cnc4t1/tC7m9YxTo9DWm49J+YW7cqg3/XBBx9kuo/qnV7Nf6b/1/1t/fr1frcAc6KOob766ivb+VfrEfqbWHmB9Niiv1mg16e2lvOmY8eO5j2ux+Gcevfdd9Nbpbhz3a7vvPNOc1zROooen/U39SdvkNXNpU+fPh5ft/Z9rY9mlabscK0L6nah5zt9rt0+fd3Rzk69ydM5QY9pem7T8521jbme83TbtUydOjV9H9Bl1v1b8+xa6QZ0m9b9JKvy87kwqzKrW/z222/py6J1Q0/mzZtnXtdzaEpKSpZz8bl2Q3Sl9TTrPZ5ayuZkeTUfnzfDhg0z77npppuydd7v1auX2V/0O3Rb0O3Qn1zH2lrHqtd7an2m9VrdT1z3IX/5s11nhv0qLaB19txoAabHaOs8rXnlPNFrJ6u+rF31PNWfNE+Wdg3UbVhzmupy+GrJFIwtwJ555hmv53KLbnvWNYI7a1vT31LTW2hrLe2mOWbMmPTu2r5MnjzZfF7Ppd7oOrXqx/4eO73JUQDsrrvuMgXRZIjZZa1MPThokm+LNu+977770ndU90SI1k6qzSW1wuLa5F8PJlZeMr14cE2mp00rdX56QNEKk3uivT/++MP8WFntAul6INIy6UHLtfJjXUxqH/4vv/wyw8Fal/edd94xZStdurTHjcVbZczaAfV7dXl1GVyX12oW7WkAAqv7gvbt153fdYPSgJl1oH766adtn9PAk3VA0O3Aao6t61MPqtY6DlQATOer605/M6uv9qBBgzweqPT73U/++lvoRb9uZ7qetD+zK70I03nqycmT1atXm9f1QOnaRFa/z0o6rBV010CRrhNtiq6v6YnD9Tf//vvvzXQ9Of/9998ZTlya6HTatGl+B8D0Ikwrvu7bszZZtS5qPSUOtAJguk502Tds2JD+2ubNm9MPqtdcc01aVvm6ePD1eiCaFFtNafWAmlnlRJddK2Cuv49WYq3EsrfddpvXsut2rt0SNIeA+77uq3KS0+OevqYnANeEt7rd+NMvXrcJK8iqXQhcK1+alNyqIN1+++1el1vXmeYFcV1uzddjXRBqbqDsVIR1vpoDwHX/1H3Pym/Qs2fPDJ+1js++tjVPVqxYYT6jQR73Y5TuR3qRoceMrHBdP1oJcD2O6z5vXajqxXN2zh++zkXWRYheyOv2a9GEpVYTfq1Ee9vfdJvSY+vy5cszfK/SY5K3xKaZPawbRRbdTq3AnK9KomsATFkV8iuvvNLvAFhe1zHUwoULzflPz5EaSHG9+aDBO72YyG5Sem+sIKuv4JZ1kZGd47krDVzpue61114z61WXU4Mz7ly3a08PPU5rviRfdF1adRRPiZGteWW14m8NwGAN1GLVfXTb1H3CSvrr6biS3XpTTrtArlu3znT90Bt9rjSQagXz9AZWVgd9CedzoR57snvc0mNeVusWmqdIX9d9wtvv4BrM0nqWPzTFTGbBLd0Ore02q+dgb6ybKr6CW9aFc1YHOXO9Cez+0PWn+Y0yY+1ren71tk95qjNnxp/tOjPsV4Hbr3IrAKapGKx16B7ccmXVQd2T4Vv1J28PrZe5/nbBHAAbOnSo1+CWReMX+h6tK7rztR60wU9msQANevsKaCvd/qzrF63DOxYAsyqj3u7MZUYrkVarK/cLAveDr3uCVWsn1Yf+IO70rpp1InANMFgVZY3W+iurAbCs3gVxZSXI1AqWO2+VMdcdcMGCBV4jprpRHT161LYhWQdo1wOkKw2m6ee0oudaibfuiGvLKU90HVhlym4AzNtD72RoYsLs5DHRVlXWHRn3CqTVCs/TTqUt2vQ1vZB0bwWn0/XOire72Xo3wKpkWzQYpdN0vv7yFQDzRYNa+jm9U+ytgqCBvY0bN3qNyOuJMKu8ba95EQCz9n1vIwgpa9vXgLP7BYVrAmadlwZfPZVdWzN4461yEqjjnpYvO6x9V1ukeKqg6w0Aa7l3795te836bm1t4mtb1zuv2akIa9DAU2tD6yLYU8AkuwEwq/Kkd54DxSqHVkY83Z3S4IS+rhVf1xwu/p4/vJ2L9PNWyyJPLWH0WG+18NNWzd7OH74qgK7bXlYf7ucAq6KjD/d9y1cAzBolSs9JroE6bwEwJ+oYymoBqwEiTzTAq63IdFkC1VLDapXmK6/QAw884HPUzcxoXc/9t9V5uf4W7hf6WqfRlod6oaHbvPYW0NZxGjjUz2vLJ1+tPTRAYH2Xp0FvrNeyWvHXkVR97f+uo965HldyUm/K7Rxg1nbn67yX386FrueHrD48bVOZ1S2svMiaS8cbvTHi7XzmjSb9tj7j64Jab4BkNZDgi/YGyCyvmNUKNKuNIbT+q70uNAiuN2p0vWiLbuvmgj60ju2LBt28HWsDEQDztV1nhv0qcPtVbgXA9NxllUvrF95YN620RbIrbXChwUatg+i5TY/3Oh/dX6yBMLLak8CpAFivXr285jqz/Pzzz+mtnt3piM5a//zvv//MMUrP19o4w0qer8FY97qSK60zWzfR3W+aurIawXg7/+ZJAMxKRpbdH1dbuOjnNZrn6eCgfvjhh/T3uFYkrJ1UWyt4u8uiTUXdTwR6QWf9EN4qbTkNgPnTBF278WkUXg8+egC3IuPWXVxPJxtPlTHXCxjdyDzR9WM18XQ92VoXlRqZ9cWqqLoORa6f0WnehobVBHneLn4yY31OL9Bd7xroidiq5OuyeuvSqfQ30CaoWmHXk581D+sug6cdfPjw4R7vxmil3eoW4T7Qg7UP+Lro+PzzzzOcyMaNG2em6TL5O2JPZgEwPfjqHTPdH7Vc7dq1s3VH1AOL+50rq4LgbSh6a3/RR1YTnHrbXnM7AKajllnz1gNxZpUTvSj0RAOs1nb+xRdfeCy7rxZC3iongTju6cknu6OgWMvk3tLVooFcqzuOe5Nwa3m8nXief/75bF1gWwEw95Y9niog7q0qskuPZ9bxTy/OA8FaP3pB4InegLBaxrrerPD3/OHtXKTHH52uFQNvzcL12OCpebu1v2nLkbxitb7Th69ucO4BMNdWTHqMyywA5kQdwwru6e/sq4uj1R1RzwWBYAVAtQWKN1YrIW8B7MyMHDnSnE+0K47VekEvtPRC1tvw5t7o+cqq7+i51xu9MLZ+W20BFQh6gWhdnHhrKWNV9N3PUTmpNwUiAKbnJb2o0EC2tojVC1nrPG8dt7OaXD2/ngtzo26h5yd9Xbdtb/QYbc3HtbWuL7rerc/46vpj7VOegvbZod22dX567PDGavWmrWQC5eabb04PHnnqImixgmVZ6TrnD3+268ywXwW2zp4bATCth1nf7aseaAUMszKQn1U+9/NAsAbAOv//TSFtCZZZS1Q9f/pLA9tWmqHMAspWuqLp06d7fY81L1/pM/zhO/NsJjQRrJWYMzvWr1+fnihQE5B6oonilSYK1OR7mkzWlSb/9JYAUJMza3JwTaxnqVixoknkqEnWNLGfPjTZX9u2bU3yUk0cnFOekqRbdF1dccUVmSbPPXToUJa/133dWHT9aHJ1TS7tui7+/vtv81eTV2oS2MzKop/X9aSJ4vfu3etzWTUhtiY2Tk5Olux6++23MyR8txLHP/LII+Y1TQ7pWgb9Pk0Q6iuJnusyudIEoh999JGMGzdOXn31VZOoUumgCPp+TS5sDYjgvg41UaS3pHxW8m5df66J/HQd/fvvv1K1alUz34suusgkrdd17J7gNDPffvutXHfddT73RT2nHj582AwI4O+2o/uQRbcdTRQe7HR7tli/oS/nnnuux+mabFSTPuq2rgnjs7qv5+Zxz9q/ssp13/W23JoIXpd7//79sm7dOo/vyWx7cT3OZIW3MlnrWges8PZbZFWbNm1MQs/58+eb5dH9T88Buv9ZSbGzy9tyaCJZTUKrv6kuh35nILcpTUiuSfN9bVOaKFsHKtCEuDn93pzuo7qP6faWFZoA+Ouvv5bZs2fLr7/+Kl26dAmqOoZ1TtBl04EMvNHPuZ8XckKToWsCbl+DUFgJlzUZfnboAAmu5syZI3feeadJ6q/b1ZQpU/yel9ZJRo4caZK368BAH3zwgcf17HoMdz2254QOTmANRuFtu/c2Pbv1pkDYs2ePGVhjxYoVAa8/5rdzYW7VLXQ/VP7sh1nZF635WvP29v053ce9fW9uHlc80UGdPvvsM1Nn1ePMZZdd5vF91noI1LHBXSDOi+xXga2zB5L7fhXIbXzQoEFmUDq9TtVrtECdB3JL4Vza1/W9zz33nBnwSOtsek2sA8Zkd38O1D6fo1EgtSKvNm/enK3PW5VGHdnCGw1Yub/flY5M4o11IXA2mP4/OurXSy+9JLVr15bff/9dRo8ebQISWiHr169fjke58FUmHc1Mg186yoWOtqYVMR1V4v9b48njjz9u3qejHgXyez2tiyNHjqRfFC9atMjrw1rv1ugXrr+Da4DE/cDuaTSNnNLAkFaadbQILY+OWujqlVdeMcEv3UH0wLNmzRoTFNLRTHTZ9bf3tn7PO+88adGihdk59WBl0d9J3XjjjRkq6NY61BHxvK0/DXIp19FD9ECjI3HpaJU6Mtj06dPl0UcfNYEw3Q51O/F3tBHdXocMGWKWU0cx0dHnDh48aJZRl9l11Dlv25W3bcf1Ytp9PwpWrtudVp4y420b9ieg42ufc+q45893+/v9WV1ub8dcf+Xkt8gq3Zd/+ukns9/p8upITTqKpQYtdB+84YYbzH6UHflpm8oOa5QnPTb5GnnXW71Dj5vq4YcfDro6hnVO0Js1vs6rBw4cMO8L1KhS1s07X8EP63gYiBt9Skf+1lGX9UJJR05cvHhxlj6vI34p3c+s9ebO9RgeqNHBrN9Zfz8daTUr+3B2602BoDe5NPilo+7p6G46MrlekFj1R2uUvuzUHxXHrZzXLax9S7cTb+dB18/6uy+6vs/bPq71XOuGa6D2cSeOK0ovkK3gj6+RyK3vzq2RAwOxfbFfBbbOHkj+7Fc52catc5yvbThYlMrFfd1aD1rn8xUzss6vvvbnQO3zOQrv6t2vt956y1zga2sBvWjICr3wV1aLBG93vNzfn1N6x/mBBx4wj507d5rKig53r8N66p1IvcO3cuXKHLUA8ERbJ+mda2uoWb2TF6g7d9lhLZ+2etBWEP5y/R10yNTq1atneI9u5Lm5LNpyQivcS5cutU3X9WoFwm6//fYMn8usTNoK7I8//jBBLw0q6V1tvfukFXxr6Gr3dagVDn2Pe+uwzGjFW1u56T6kgTrdDmfMmGGGA9YWaHrn2J+h33XIa73Y0taMWil2bwGSl9tUMNCWLXpw1gOpP8tuDfvr67VAHXucPO65z0u/39O+6/r9gfxuf+T1b6H777PPPmseejNC90FtWaTngU8//dS0gNOhoTWgnxVaVr2D6u21UNymNNChd/GyQ49zzZs3T3/uWlfQfVRbxmWF3gT5+OOPzbFab1ZYN+OCYV+zzqvVqlUzAYq8otub1md0O/Zm06ZN6e8NFF3Opk2byp9//ml+D23F7C/XVojegjZWZddqyR4I1u+sAQMNRHqar7djUXbrTTml27DWD5TWETy1DMnpuT4cz4UaMNRWitmhN0dcW3H6U7ew9i1tRbF9+3aP51hrP9Qbtd7Owd7mq3Qf99SSX+uM1n4UqH1c56M3VfP6uOJ6fPAV0LWOD76CTE5jv8r5fpVbtJWcNqzQayjdxq1AjSvdl62W2lndxv3ZhoNFvf9fttzY1/051+vNIquFma/9OVD7fI5agOkGrF2itBKhF/FZpU0/rRYs3rpuacsa60ShG2qgacV54MCBpvm9fpd269Qf2KpoKG/dH7JKK1rWcmrlyRP3gE5usprAagBTf0N/6cWKdWdBAzfemuDmpPtjZqzyuh8sNWCVk/U7ePBgsw1oxVYPAtpiTO/iXXrppR7vpljrcNWqVdleFt2+tDI7fPhwmTx5cno3Eg3I+nMysJZZA9Keuj/l5TYVCIHY37Q1n1q9enWm77Va6HkK4lpNyRs0aCCB4uRxz3Xf9bZudL+1uj4Gcrn94e23cH0tt8qkLYKvvfZa04JU9xndDrVFi94MCdRyaKsRDVLk1jalx2Nvx3Jrm9LWI+7dH/2hFXVfLV58Pdxbeel2qF3K/d1H3Wm948EHHzT/f+yxx2ytXJ3e16xzgv7OeXk32+peoS2LPdGKpXbFcH1voFjnem+/gzfWutcW0d7u5lrv0fWane3W275uBbW91WG87cPZrTfl9Lxnned12/cU/NLfQAOQORGO58LMWur5engKXGRWt9BAv9VFR2+eeGIFTvWmpbcu656uVTRdhj/z1aB0pUqVJBCsY4WmH3DtuunKKk8gjyuu9RBruT1tl1bXQe29EazYr3K+X+UWPQ+0bNnS536l9UENgul5qlmzZlmav7WevW3DwaTt/++/ut14S81gHWOyuq9b68HXurDeo60/rfqhO912NJai50trm3EkAKZ3wh566CHzf+1SqK1gfNFAgusdZL1g12CDHlTff/99j5/RljDqkksuCVjlxxu9o1KzZk3z/127dqVPt/q65rQpu2ufWdfou0XX319//SV5Rde/niQ1yGJ1DfSXFb3XO/uevPnmm5KbrEq++05irWNP61dPplOnTvU5X232e/XVV5v/f/jhh+ktym666SaP79cuh+rdd98NWFcH1zsQrtuhN76WWfc5bQ0XSgKxv1m54/wJ/mlrP82d404DkLpOtcWoHn8CxenjntXyVPP2eOqioQEgbdEb6OX2h+bb07vm7pYsWWIq4ErzCOQ2vci1WiX5sw+60+Oip3WruQK1Yq8X+3rxEyjdu3c3F1K67jSI7k6/0zome2p57A9tAWt1tcrqwz2XY1b3UU/uueceE8zVCwhtrRcs+5oGGM8//3wTHLHmnReuvPJK81dv4HnKMfrFF1+YY6p2ffF2gyg7NJeZVXF1beWXGd0mrfWjedy8tbK0to+strDO7DxvrYOs1mFyUm/KyXnPev3YsWMe36O/rx63cyIcz4V6nMnucctTq//Mjlu6bVnnKK1DutOWJla9Um++Z2cf19xYOh9XWl7r+7I6X1803Yi2kNHtwlNu3ZkzZ5ouTRpI0fcGim4PGmTR3hfa1doTDZZogEdbD2kr1GDFfpXz/So3WddxkyZN8tjoQBvIKG0IkZXcV3rz1GpM061bNwl2HTp0SG8NbS2z+zW0BsA0+GSts6zk9LPy4XkLzlu/vZbD240B6z1NmjTJeZqlHKXQ//8RBnUEOZ1VdHR02hNPPGGGB3elw2HqqDXWKF6udPhQa1TG77//Pn26jkphDdmtow24D42a2Yh4riOLuY6KMGvWrLS7777bjIboOrKTjqqiQ3NbIwO5jtigo99ZQ3N6G8LT1+g+rpo2bWre06NHDzPyhevoXjp8sY7I4W0EvJyMmmeNRuI+IqM1DK+OEvn6669nGCVQRxD59ttvzchbrlavXp0+bO29996bPoqIrlMdXU7XozXaWXZHgfT0OR2R8dlnn01/zyuvvOJxmHYdpUpHMLSsXLkyrXbt2unr19d2o++1RvGyRvPxNuqOlkeHftb36ShMnrYPXVePPfaYGQreokPpjh49Om3r1q0ZRsvQ7dMafcz19/C2zet+Y5X3p59+Sp+uI5Bdf/316cvsadvxZ+Qpb5/NTGaf8/a6jjBojWjnbQSbzOj+rfOoUqWK1xHcrH1Ct2M9humQvZZFixalj6h1yy23ZHnZMjsm5OZxLzM6RLO1Tdx00022EZZ0hBdrFBYdZSyry53d8lnHav0t2rZtm7Zjx47019asWZM+emv37t19DsedlW1UR8nSka3ch77WUQl16HDrN9i+fbvf87TKocuhI9u57r866pL+3vr6iy++mK3zh68RiYcNG2Ze0+3WdWQxPQ4MGTLEvFasWLGAj7qaXTpyon7vBRdckKVRIF2999576b+TE/uapzqGmjdvnjkea73h0UcftZ3rrTrRL7/8ktavX78M87R+j+yMbKXzs46d//zzT/r0+fPnm/OJtxECdRRN/T59uO57Ss+xuq/oCKau9Lg6c+bM9FHiWrRokeE8eeONN6ZNmjTJLK8rPe9ZQ67revI1ovN5551n3jdjxgyPr1u/e1ZHv9L5udYjrLLryGw6kp9Vv/F0XMluvcnXfv7aa6+Z6W3atPE4oqaOyGaNvHndddfZ1qmuY92+reN6ZiNJusuv58LcqltoHdI6JumI7tZIt1q/s47Fus61/uhORyjX10aMGJHhNb220mO4fl7no/NTOv8HH3wwfVRWHWHVnbW+snPZp2XRz8XGxppjiUWPMb5GrtdjiXVc0WOMKx1hWkfUcz+/6jrRfcHa/7Q+7M1bb71l3jN48GCPr1v12+xsI9mt97pivwrsfpWTUSB1G9b36f7lTo/f+r3W6NLWiPdaDmsb0/OU6znVurbTOvRff/2VYZ56LWaN8KnnME/XkDk512d3FEhf+6R6++230+M5eg6z6H7apEkT85qndaj7/6effmpGbXa1f/9+c77KbAR5dcUVV5j3fPjhh17fc99995n36IjUOZXjAJh1YtZhsK0Dvlb6tFLUqlUrM7S66wW4DrPp/lmr0mYFGzRQZlXWdGhvTysju5VTK1hgnSiaNWtmgiUafLKm33nnnRnmdemll6ZvFDoEp85bHzqce1YuYLTSZa2nokWLmnnpsPT6XMty//33e70YyY0AmHrjjTfSgz36W2mQrnXr1mZIY2todU87qA5BagUG9cSov1ulSpXMc90efH2nL9ZynnvuuenDe+ujUaNGZp1Zrw8YMCDDML2rVq1Kf49WTnWHtQ4Mum09//zzfh3cdfmt78msMqkHBmtYVut79PP6e+p68VRBt4Jc+qhYsaK5eNCyWmXX32P8+PF+bfN6YO3YsWP6/HR70m1aT3z6+7kOnx0KATANyJQvXz59u9J1ae1vWWEF3L1tf9b2qcEI6+JB15sVbNGHfrcGELK6bJkdE3LzuOcPHVpbj2U6L61Q6/ZnXcjq45JLLslwUZcXATC9gaIXebr96/6j+7x1jNEA9q5duwIWANMLV+tzcXFxppKi+7HrPuseYM+M9TmtwOtxXocS13WrAQnrNa0Iux+3AhEA0+20Xbt26fPR9aXfbQXdChcubAvCOx0A03Wg5wv9fTdv3pytAJhe+Ol5ylrmvN7XvAXArH3M9Xiu27IGN/R85BpcCWSlWC+w9LxpLZfenLHOf75+Y1/7kHWO0PlZ9To9TlqBcn3ouWvnzp1eb/jp8tevX98cT+vWrZu+T+u26e23tYLf+j79jb1dFHk6v/pLK9HW5/ViVLcLK8ik9SJfx5Xs1Jt87edaj7D2Va2PamBYty/Xi41PPvkk/fO6/ervULlyZfO8W7du6cGV7AbA8uO5MDsyq1tY9WNrO9BtStenXnNY9RpPF82uxxRv++rUqVNN3dZ1G7C2WZ2ugXVPchIA06CUXrtZn9djih5brOXToIGnoK3r7+6+rlzPv7oN6zrVc7C1D+hDt30reOiJHov0fa5BuWAMgLFfBWa/0mOk1tWsh9avrGVxna51rKxuC8uXL09fN/pb6bZoXc/q/LVhhzu9/rfWr+7TWn/UbdI1nqDnRvebSoE41+sNatdltuIKWp93nb5w4UK/90ml51nrPGJdT2pd3Kqz6PK439BzbXyi60rrnrpda53HKpf+1YYfvuouevzS39Rbwwe9OaXXy/odOdkvAxoAs2zYsMFEAa1KhFYO9ICvFYNbb701ww/husL1jpoeYLVSpStaNzyN6v/xxx8eP5PdyunBgwfT3n33XRNp1IOQlk/LqSv1sssu83iBYP04usFpBdC6cHTdgPy9gFELFiwwJwzdUPWiRCuG2kJI7+b4uhjJrQCY0lYQt99+uwlYaqVd14kGITSwoi2V/vvvP4+f0xYjuiy60ern9ILLOlDkNADm/rC2Cz24+YoiaxBMd0Y9IOkOpb/ZXXfdZX57fw/uugzWzrxt27ZMy6wnf62cdu3a1Rz8dP3p+tDfVlthaesP1zu269atMy3ZunTpYtaTbgdaVq08a7TcU0syX2XXYMXDDz9sDla6nrQMeoddWyK4rtNQCIBZd1b05K13UKyLjKxW3PQOo35GW8Z44rp96p2d/v37m4sg3b/1Ik3voHkKAvmzbP4cE3LruOevf//916wbDc7oMuvJ/6KLLkr7+OOPzYkmO8ud0wCYfl4rOboP6LrQcunvpK1MXe+euho3bpz5rG4rnu6oe6PfowEu3U90v9H9Vb9PK4pa8dbjdFa5rh9thaUtfUuXLm32bb1gePPNNz2u20AEwJReLOj5TS+e9dxmrT9tiePtGO5UAEw99dRT5rt1X8tOAMz1LrAT+5qvAJjSiq+2zNA6kJ4jtRKolVL9fXS9WzfQXGnLQZ3n5ZdfnpYdeszSFkxa+dTziu7XGhjVVlze+AqA6Z15bcXWvn17s2/oRZxuz/p/rTN9/vnnGQK6rkFA3Zd1+fXYqsdyXQ/6XO/Iewt8WvScpmV6+eWXPb6urbytcmurm+yYOHGi+T30okf3GT0Gao8Ff453Wa03Zbafax1Zjxlaf/YWRNObuNpKVn9b/U5dl7p+9Dfw53zuSX4/F2ZVZnUL11Y+ffv2NfUxXZd6rtXWPt4uiP0JgFnn7quvvtpct+i60r/6XAPG3lg3f/UiPTv0vKXnLw3g6LWLPvT/2kLGW33B18W2LoMeG3V59Vhi1YF1HV155ZVpP//8s8/yaB1a56vHOW+0Pq7v0fqDkwEw9qvA7Feuy+vr4ans/gRDtU548803p9eJdb/V/de1R5grDQTpdZw2kNFrNz1/WNdfel2sAUZfddKcnOut5cns4b7fZRYAs2jDCa03aP1B903dz7TFpntrbsv06dPNsU2PCVoX1/Wn5yc9N+p0vS73RW8YaJn0fOqNfoe+R+vsgRDQABgQLp577jmvXa4QGvSCQAOQesHmqXVCdgO0CLzMAgm+6MlVP6vdFp0WiEpzfqIVSL3Y1wqT1Z0nv9Njlm5DvroF5gfalUKDx3px7+2OsLaS1nXVs2fPPC9fOOFcGNi6RTDSuqz+xhrwDQd6U0eXR7vSe6JBOQ3S6YW4U78R+1X471c5wbn+f/uqrgu9CeXr5oAGFbX1uLbWC4QcJcEHwpGOzKJJK5WOzIjQpMlTNdGnJgJ99tlnnS4OcnFADB015pZbbnG6KMgi/d2eeuopM1y7t2Tk+YmObqSJZjUpvDUyVX712muvmVE0deAkHXDJ12A4I0eOzOPSIT8LtbqFDsihIxrXrVtX+vXrJ6FOR2jXgQQ0WfYVV1zh8T0rVqwwCfKHDh1qBjhD8Au1/SonONf/jw6uoevi/vvvN6PdeqLJ92fPnm3250CN+BoVkLkAYUQvxHTIcR3Nq3fv3k4XBzmgozHpaF5aEdJKoL9DjiM06AXymjVr5JFHHpHixYs7XRxkw8033yxHjx7N0uhK4WrhwoXm78MPPyz5nY7C+sILL8i1117r9T0aANNRk3XUMyAvhVLd4u+//zajh2pwIZjL6a8dO3bIo48+6nMkOj026LI++OCDeVo25J/9Kic41/+Pdp548skn5YEHHhBfdf1Ro0YFtFFKhDYDC9jcgBClw9Xec889JiqvF9TWkLj9+/d3umjIJTVq1JBt27bJ3Llz04dghjN0/esdHh3e3dMQ2aFCh4dWGkDX7QsAgh3nQiDw2K+A4EULMEDEtEDQC/CCBQtKw4YN5aGHHiL4BQAAAABAmKAFGAAAAAAAAMJaeHauBQAAAAAAAP4fATAAAAAAAACENQJgAAAAAAAACGsEwAAAAAAAABDWGAUSIal+/fpy5MgRqVWrltNFAQAAAIB8YfPmzVKqVClZt26d00UBsowAGEKSBr9OnTrldDHgp+TkZPM3KopDDsID2zTCCdszwg3bNMJJsG3PXIMhlAXHXgRkkdXya8mSJU4XBX44dOiQ+RsXF+d0UYCAYJtGOGF7Rrhhm0Y4CbbtuW3btk4XAcg2coABAAAAAAAgrBEAAwAAAAAAQFgjAAYAAAAAAICwRgAMAAAAAAAAYY0AGAAAAAAAAMIaATAAAAAAAACENQJgAAAAAAAACGsEwAAAAAAAABDWopwuAAAA+VL8LpH1v4gc2iQSGSVSpZVI7S4i0UWdLhkAAAAQdgiAAQCQ11Z/J/LHp/Zpu1eK/D1e5OInRcrWdapkAAAAQFiiCyQAAHlp++8Zg1+WhGMis0eJJBzP61IBAAAAYY0AGAAAeenf73y/rsGvjbPzqjQAAABAvkAXSAAA8kriSZF9/2b+vh3LRBpdnv3vSTghsmWByKmDIjElRGq2FylSOvvzAwAAAEIcATAAAPJKSpKf70vM/nf8863IynH2efz5mUj9S0Va3igSEZH9eQMAAAAhigAYAAB5pVBJkSJxIqcO+X5f6VrZm//aqSJ/fp5xemqKyJofzv6/1U3ZmzcAwG7vapGdy0VSk0XizhGpcZFIZEGnSwUA8IIcYMjgq6++kptvvllatGghMTExEhERIZ9/7uGCKhOpqany9ttvS+PGjaVw4cJStmxZGTx4sGzevDlXyg0AQU9bX9Xtnvn76vXM+rxTks+OIunLup9ETh/J+rwBAP9z8pDIT/eKTH9YZPXkszcYfntNZNIwkV1/Ol06AIAXBMCQwWOPPSYfffSRbNu2TSpWrJjt+WgQ7a677pK0tDTzt3v37vLdd99Jy5YtZcOGDQEtMwCEjHOvEClb3/vrTQeLlK6Z9fnuXiFyJt73e7Ql2Jbfsj5vAMBZyYkiMx8TOeihLqvH4F+fETm40YmSAQAyQQAMGYwZM0a2bt0qBw4ckFtuuSVb85g7d66ZT/v27eWvv/6S0aNHy5dffilTpkyRw4cPyx133BHwcgNASIiKEen2nEjTQSKFS/1velxtkfYPiDS/OnvzTYj3833Hsjd/AIDI1gUi8Tu8v67dIf+ZlJclAgD4iRxgyODiiy/O8Tw+/vhj8/eZZ56R6Ojo9Ok9evSQjh07ysyZM2X79u1SrVq1HH8XAIRkEKz5kLOtvbRLYoEokcKxOZtn0bJ+vq9czr4HQJZoS3h9aGqIzP7v+tz1857+7+u1cP6MP44cOdvV++DBgxJwC78T2X/C93v2zhIpd6lI1P/qwKEsq+sfgVWyZEnb9RSA7CMAhlwxb948KVq0qFx44YUZXuvWrZt5ff78+TJ06FBHygcAQaFApEjRMoGZV4UmIsXKi5zY5/09BQuL1GgXmO8DfNAgzunTp83j1KlT6f/XR0JCgiQlJUliYqLHh7fXXKcnJydLSkpK+l9vj6y+ruX2J1DlLWjl6TXkUyObOF0ChIk//vhDatSo4XQxgLBAAAwBd/LkSdmzZ4+ce+65EhkZmeH1OnXqmL/+5AFr27atx+mrV6+W+vXry6FDmYykhqAQH+9n1ywgRATtNt3wWpE/x3p/vX5vkeOnRUQfwP+2Zw0q7d27V44fP24eJ06cSP+/+8P1NQ1onTlzxjw00GX9X4NcAICc02NtMNU79MZBVBRhBIQmtlwEnHWA1ua6npQoUcL2PgBAgJRvJHL+tSJrfxI55XKDIKa4SJ2uItVaO1k65CENTO3bty/9sX//fpOD03poFzHX53rzCgAAIJwRAENQW7Jkic+WYXFxcXlcIuQEvxfCTVBu03HtRRpcJLJvtcjJAyKFSopUbHa2uyXCgrau2rFjh2zZssUMWqMPHbl59+7dpgW2PrjJBADhoXjx4qZhQbDUOWj9hVDG1ouAs1p+eat8Hzt2zGcLMQBADkVEiFRo7HQpkMMg18aNG2Xt2rWybt06Wb9+fXrASwNd4ZBbStMkaGJn10fBggUznabP9QJMP68P1/+7P3y95un1AgUKmEdERET6X/f/+3otq//P7DWL6//dn2fnfdl9LZjm708S/FKlXEbaDaSUZJF/vxPZPF8k+cz/pldsKtLsapGigQ9UZGX5w1F+Xv6YmBiniwCEDQJgCDhNfl+xYkVTUdeEsu55wKzcX1YuMADId04fFTl5UCSmmEjxCk6XBg7ShOka6FqxYoV5/PvvvybgtXnzZvOakwoVKmTSFmjrA/3r/tDpRYoUMY/ChQubh6f/u07Th85Xg1ga7AFyg5VuI1dbzNR+SCTpLpF9a0RSk0VK1xQpxii7CDxyHgOBQwAMuaJDhw4yfvx4WbRokbRv39722owZM8xf9+kAQlTCCZGNs0V2/SGSmiISV1ukXk+REhWdLlnwObpD5K8vRHb8LpL2/8GNMnXOthio0sLp0iGXaUBLg1u///67CXb99ddf8vfff5uk8rlJW01VqFBBypUrZwIC+ihTpkz6/7V1QenSpaVmzZoSGxubHtzSzwEQ3yPrVjnf6VIAAPxEAAw5cvDgQfPQirQ+LMOHDzcBsMcff1xmzZqVXomeNm2azJs3T7p27SrVq1d3sOQAAmL/WpHZT4kkulzA7/1H5N/vRVoNF2nY28nSBZcjW0WmPWxfV+rgBpHZT4q0u1ekdhenSodcoKMhLlu2zNwM0ofmtdSE84Gk594aNWqYc2qVKlVMC2x9VKpUKf3/2g3MV/chq3VBsOSXAQAAyA0EwJDBmDFjZOHCheb///zzT/o0DVypdu3ayY033mj+/84778hTTz0lo0aNkieffDJ9Hp06dTLv0c+dd9550qtXL5OUd8KECeYu89tvv+3IsgEIcDc+9+CXq2UfiZSsLFKZu+PG7x95X1fm9Q9Eql9wtkUBQraFl543Z86caW7+/PbbbyYIlhOaRuCcc86RBg0amL/aSksDXvpXg17FihULWPkBAADCGQEwZKDBr7Fjx9qmWXevLVYAzJcPP/xQGjduLB999JG8+eabppJ++eWXy3PPPWcq8QBC3IZZvgM6SluCEQATid8lsneV7/cknT6bULle97wqFQJAuy9Onz5dfvjhBxP42r9/f7bmo/mwNMjVrFkzadiwofl//fr1zfmSrogAAAA5F5EWDsMIId9p27at+avdSRD86F4Tpn6+X+TAuszfN2SySFRM/t6mty8VmfNs5u9r0Fuk9fAclg558ftPnTpVvv/+exP0ymorLw1oNW3aVJo3b24e2lJabxhpgngncIxGuGGbRjgJtu2Z6zCEMlqAAQCyJyXRz/clhV0ALMuiCvn5vny+noKYBrl+/PFH00JaB3PRUY79pRctF154Yfrj/PPPNyMhAgAAIO8QAAMAZE/pWiKHN/t+jw4JH100r0oUvMqfK1KopMiZeN/vq9Eur0oEP2gj+aVLl5qgl+awPHr0qF+fK1KkiHTs2FEuueQS89Aujb6S0AMAACD3EQADAGRPvZ4iG2dn/h4u/EUio0Qa9hX5y55f0aZSM5E48iMGS16vL7/80gz0smbNGr8+U7duXenbt6/06NHDdA+JiaE1HwAAQDAhAAYAyJ6ydUUa9xf551vPr5dvdDanFc7SdXX6sMjaqZ7XVYeHnCgVXGzevNmMUvzZZ59JfHwmrfVETFdGHdxFH5q0nlZeAAAAwYsAGAAg+84fJhJbTeTfKf/rDlm4lEi9HiLn9heJYvS6dBocaX3z2VZxG2aIHN8nElNMpFZHkYpNnS5dvvbvv//KCy+8IN98842kpqb6fK+OynjttdfKkCFDpGbNmnlWRgAAAOQMATAAQM6c0/ns49RhkdQUkSKlRQpEOl2q4BVbVaTljU6XAiKyYsUKeeaZZ8xojr6UKFFCBgwYIMOGDZMLLriAll4AAAAhiAAYACAwNPAFhIBNmzbJY489JuPHj/f5vsaNG8udd94pV199tUlsDwAAgNBFAAwAAOQL+/fvNy2+PvjgA0lOTvb4Hm3dpcns7777bmnfvj2tvQAAAMIEATAAABDWNNj1/vvvm1Zfx44d8/ieyMhIk9froYceMgntAQAAEF4IgAEAgLC1ePFiue222+Tvv//2Gvi64YYbZOTIkVKjRo08Lx8AAADyBgEwAAAQduLj4+X++++XMWPGeH3PlVdeKc8++6zUrVs3T8sGAACAvEcADAAAhJXZs2fL9ddfLzt27PD4ert27eTVV1+VVq1a5XnZAAAA4IwCDn0vAABAQJ04ccJ0d7zkkks8Br/KlSsnX3zxhSxYsIDgFwAAQD5DCzAAABDyVq5cKQMGDJANGzZkeK1AgQJy++23y9NPPy2xsbGOlA8AAADOIgAGAABCVlpamnz88cdy1113SUJCQobX69WrJ59//rm0adPGkfIBAAAgONAFEgAAhGyXxyFDhsjNN9+cIfgVEREh9957r6xYsYLgFwAAAGgBBgAAQs+WLVvksssuk3///TfDa9WqVZOvvvpKLrroIkfKBgAAgOBDCzAAABBSFi1aZJLYewp+XXrppabVF8EvAAAAuCIABgAAQoa27OrcubMcPHjQNj0yMlJeeukl+eGHH6R06dKOlQ8AAADBiS6QAAAgJJLdP/nkk2YkR3flypWTyZMnS7t27RwpGwAAAIIfATAAABDUUlNTzSiP7777bobXGjduLFOnTpXq1as7UjYAAACEBrpAAgCAoJWcnCzDhg3zGPzq1auXyQdG8AsAAACZIQAGAACC0pkzZ+TKK6+UL7/8MsNrd999t8n3Vbx4cUfKBgAAgNBCF0gAABB0EhISpG/fvjJjxowMrz333HMycuRIiYiIcKRsAAAACD0EwAAAQFBJSkqSAQMGeAx+vfPOO3L77bc7Ui4AAACELgJgAAAgaKSkpMjQoUPlxx9/tE2PjIyUzz77zLwGAAAAZBUBMAAAEDSjPd54440yYcKEDMGv8ePHS//+/R0rGwAAAEIbSfABAIDj0tLS5N5775XPP//cNl3zfI0dO5bgFwAAAHKEABgAAHDcG2+8IW+99VaG6R999JFcffXVjpQJAAAA4YMAGAAAcNT3338vI0aMyDD9zTffNF0iAQAAgJwiAAYAAByzbNky08JLu0C6euqpp+Suu+5yrFwAAAAILwTAAACAI7Zs2SKXXXaZnD592jZ92LBh8vjjjztWLgAAAIQfAmAAACDPnTx5Unr37i379++3Te/SpYt8+OGHJvk9AAAAECgEwAAAQJ7S7o7Dhw+X1atX26Y3bNhQvv32W4mOjnasbAAAAAhPBMAAAECeeuedd2TcuHG2aeXLl5dffvlFYmNjHSsXAAAAwhcBMAAAkGcWLVok9913n21aZGSkTJo0SapXr+5YuQAAABDeCIABAIA8sXfvXrnyyislOTnZNv2VV16Riy66yLFyAQAAIPwRAAMAALkuNTVVrr76atmzZ49t+sCBA+Xuu+92rFwAAADIHwiAAQCAXPfqq6/KnDlzMiS9HzNmDCM+AgAAINcRAAMAALlqxYoV8uijj9qmFStWTCZPnmz+AgAAALmNABgAAMg1p06dMl0fk5KSMowEWb9+fcfKBQAAgPyFABgAAMg1Dz74oKxdu9Y2TRPhX3PNNY6VCQAAAPkPATAAAJArfvnlF3n33Xdt0ypXriwffPABeb8AAACQpwiAAQCAgIuPj5ebbrrJNk2DXl988YWULl3asXIBAAAgfyIABgAAAu6hhx6S3bt326aNGDFCOnfu7FiZAAAAkH8RAAMAAAE1f/58+fDDD23TGjVqJM8++6xjZQIAAED+RgAMAAAEzOnTpz12fRwzZozExMQ4Vi4AAADkbwTAAABAwDzzzDOyYcMG27S77rpL2rRp41iZAAAAAAJgAAAgIFauXCkvvfSSbVr16tXp+ggAAADHEQADAAA5lpqaKrfccoukpKTYpn/wwQdSrFgxx8oFAAAAKAJgAAAgx7788kv5/fffbdOGDBki3bt3d6xMAAAAgIUAGAAAyJFjx47JQw89ZJtWqlQpef311x0rEwAAAOCKABgAAMhx4vt9+/bZpmnerzJlyjhWJgAAAMAVATAAAJBt69atkzfeeMM2rUmTJjJ8+HDHygQAAAC4IwAGAACyJS0tTe655x5JTk62TX/rrbckKirKsXIBAAAA7giAAQCAbJk6darMmDHDNm3gwIHSoUMHx8oEAAAAeEIADAAAZJm2+nrwwQdt0woXLiwvv/yyY2UCAAAAvCEABgAAsuyzzz6T9evX26Y98sgjUrVqVcfKBAAAAHhDAAwAAGTJqVOnZNSoUbZplStXlhEjRjhWJgAAAMAXAmAAACBLNMn9nj17bNOeeuop0wUSAAAACEYEwAAAgN8OHz4sL774om1a/fr15dprr3WsTAAAAEBmCIABAAC/vfDCCxIfH2+b9vzzz0tUVJRjZQIAAAAyQwAMAAD4ZceOHfL222/bprVp00b69u3rWJkAAAAAfxAAAwAAfnnmmWckISHBNm306NESERHhWJkAAAAAfxAAAwAAmdq2bZt89tlntmk9e/aU9u3bO1YmAAAAwF8EwAAAQKY08X1ycrJt2nPPPedYeQAAAICsIAAGAAAyzf31ySef2Kb16dNHmjVr5liZAAAAgKwgAAYAAHzSPF9JSUm2aY8//rhj5QEAAACyigAYAADwateuXfLxxx/bpvXq1UvOP/98x8oEAAAAZBUBMAAA4NXLL78siYmJtmlPPPGEY+UBAAAAsoMAGAAA8Gjv3r3y4Ycf2qZ1795dWrVq5ViZAAAAgOwgAAYAADx67bXX5MyZM7ZptP4CAABAKCIABgAAMoiPj5cPPvjANu3iiy+Wtm3bOlYmAAAAILsIgAEAgAw08f3x48dt0x599FHHygMAAADkBAEwAABgo0nv33jjDdu0Fi1aSIcOHRwrEwAAAJATBMAAAIDNhAkTZNeuXbZp999/v0RERDhWJgAAACAnCIABAIB0aWlp8sorr9im1ahRQ/r16+dYmQAAAICcIgAGAADSzZ49W1atWmWbdu+990pUVJRjZQIAAAByigAYAABI9/LLL9uelypVSq6//nrHygMAAAAEAgEweLR8+XLp2bOnxMbGStGiRaVNmzYyceLELM1j9+7dcvfdd0vDhg3NPMqXLy/t2rWTL7/8UlJSUnKt7ACA7Pn7779l1qxZtmm33nqrFCtWzLEyAQAAAIFAfwZkMHfuXOnWrZsUKlRIBg0aJMWLF5fJkyfLwIEDZceOHTJixIhM57F582Zp3bq1HDp0yMzrsssuk2PHjsmUKVPkmmuukTlz5shnn32WJ8sDAPCP+8iP0dHRcscddzhWHgAAACBQaAEGm+TkZLnpppukQIECsmDBAvnoo4/k1VdfNa0C6tatK4888ohs27Yt0/loAuWDBw/K66+/LtOmTZPRo0fL+++/L2vXrpVq1arJ559/7td8AAB5Q4/Z33zzjW3akCFDpGLFio6VCQAAAAgUAmCw0ZZZmzZtkquuukqaNWuWPr1kyZIm+JWYmChjx471qwWY0m6UrrRLpXaDtC62AADB4ZNPPpGEhATbNO3GDgAAAIQDukDCZt68eeZv165dM7ymXRnV/PnzM53PueeeKzNmzJBffvnFdgF19OhRWbRokVSoUMHkBstM27ZtPU5fvXq11K9f33SxRPCLj493ughAQIXbNq15Gd99913bNM39WLlyZY6z+UC4bc8A2zTCSbBtz9pjiJGhEarYcmGzYcMG87dOnToZXtOglSZCtt7jywMPPCBTp06Ve++9V6ZPny5NmjRJzwFWpEgR+f7776Vw4cK5sgwAgKyZOXOmyfHo6sYbb3SsPAAAAECgEQCDxzsM2uXRkxIlSvh1F0JHfFyyZInJH6M5wDQIpjTodcstt0jTpk39Ko/Ow1fLsLi4OL/mg+DA74VwEy7b9BdffGF7rnm/dMCSggULOlYm5L1w2Z4BC9s0wkmwbM+0/kIoIwcYcsXGjRvlwgsvlAMHDshvv/0mx48fN60LnnjiCXnmmWekS5cupssNAMBZ69atk1mzZtmm6Y0Kgl8AAAAIJ4RvYWO1/PLWyku7MZYqVSrT+QwbNsyM8qjJ8LXrpNLukw8//LDs27dP3njjDRk/frxcffXVAV4CAEBWvPfee7bnGvgaPny4Y+UBAAAAcgMtwGBj5f7ylOdr7969cuLECY/5wVxpay9NdN+gQYP04JerTp06mb8rVqwIWLkBAFmnx+vPP//cNq1///4ej90AAABAKCMABpsOHTqkJ0R2p6M6ur7Hm8TERPP34MGDHl/XbpEqJiYmx+UFAGTfV199ZYJgru644w7HygMAAADkFgJgsNHcXLVq1ZJx48bJypUr06drl8jnn39eoqOjTWJky549e0z+GNcuk5qgsV69erJ9+3YZM2aMbf5Hjx6VV155xdYSDACQ99LS0uSjjz6yTWvWrFn6ICMAAABAOCEAhgyjemjQKjU1Vdq3b2/ywIwYMcKM2vjff/+ZIFiNGjXS3z9y5EjT1fH777+3zef1118387rpppvk4osvlgceeEBuvPFGqVu3rgmY9evXz0wHADjjr7/+st3oULfeeqtEREQ4ViYAAAAgt5AEHxloy6yFCxfKqFGjZMKECZKUlCSNGzeW0aNHy8CBA/2aR48ePWTx4sXy8ssvm3nNnz9fChUqZIJlOhKkXmQBAJzz8ccf254XLVpUBg8e7Fh5AAAAgNxEAAwetWrVSqZNm5bp+zR5snsCZUvLli1l4sSJuVA6AEBOnDx50nR1d6U3OIoXL+5YmQAAAIDcRBdIAADyGb054Z78XrusAwAAAOGKABgAAPmM+wAljRo1ktatWztWHgAAACC3EQADACAf+ffff02ORvfWXyS/BwAAQDgjAAYAQD7yySef2J5HR0fLkCFDHCsPAAAAkBcIgAEAkE8kJCTIF198YZvWr18/iYuLc6xMAAAAQF4gAAYAQD4xZcoUOXTokG3ajTfe6Fh5AAAAgLxCAAwAgHxi7NixtufnnHOOdOzY0bHyAAAAAHmFABgAAPnA3r17ZcaMGbZpw4YNkwIFqAoAAAAg/FHrBQAgHxg3bpykpqbapg0dOtSx8gAAAAB5iQAYAAD5gHvye+36WL16dcfKAwAAAOQlAmAAAIS5v//+2zxcXXvttY6VBwAAAMhrBMAAAMhnrb8KFy4s/fr1c6w8AAAAQF4jAAYAQBhLTk6Wr7/+2jbtiiuukOLFiztWJgAAACCvEQADACCMzZo1S/bt22ebds011zhWHgAAAMAJBMAAAMhH3R8rVqwoXbp0caw8AAAAgBMIgAEAEKbi4+NlypQptmlDhgyRyMhIx8oEAAAAOIEAGAAAYWry5Mly5swZ2zS6PwIAACA/IgAGAECY+uabb2zPmzdvLueee65j5QEAAACcQgAMAIAwtHfvXpkzZ45t2tVXX+1YeQAAAAAnEQADACAMTZo0SVJTU23TBgwY4Fh5AAAAACcRAAMAIAyNHz/e9vyiiy6SqlWrOlYeAAAAwEkEwAAACDPbtm2TxYsX26YNHjzYsfIAAAAATiMABgBAmLf+ioyMlP79+ztWHgAAAMBpBMAAAAjzANjFF18sZcuWdaw8AAAAgNMIgAEAEEbWrVsnK1eutE2j+yMAAADyOwJgAACEkW+++cb2PCYmRvr27etYeQAAAIBgQAAMAIAwkZaWliEA1rNnTylZsqRjZQIAAACCAQEwAADCxIoVK2TDhg22aYMGDXKsPAAAAECwIAAGAECYmDRpku15sWLF5NJLL3WsPAAAAECwIAAGAECYdH/89ttvbdM0+FWkSBHHygQAAAAECwJgAACEgVWrVsnGjRtt06688krHygMAAAAEEwJgAACEAffWX9ryq3v37o6VBwAAAAgmBMAAAAiD7o/u+b969epF90cAAADg/xEAAwAgxK1Zs0bWr19vm9a/f3/HygMAAAAEGwJgAACEWffHwoULS8+ePR0rDwAAABBsCIABABBmAbAePXpIsWLFHCsPAAAAEGwIgAEAEMLWrVsnq1evtk2j+yMAAABgRwAMAIAQNnnyZNvzmJgYkwAfAAAAwP8QAAMAIIy6P3br1k1KlCjhWHkAAACAYEQADACAELVx40ZZuXKlbRrdHwEAAICMCIABABCipkyZYntesGBBueyyyxwrDwAAABCsCIABABAmAbDOnTtLbGysY+UBAAAAghUBMAAAQtD+/ftl8eLFtml9+/Z1rDwAAABAMCMABgBACJo6daqkpaXZpvXu3dux8gAAAADBjAAYAABh0P2xdevWUqlSJcfKAwAAAAQzAmAAAISYEydOyKxZs2zT+vTp41h5AAAAgGBHAAwAgBAzc+ZMSUhIsE0j/xcAAADgHQEwAABCzA8//GB7XqdOHalfv75j5QEAAACCHQEwAABCSHJyskmA7976KyIiwrEyAQAAAMGOABgAACHkt99+kyNHjtim0f0RAAAA8I0AGAAAIdz9sVy5cmYESAAAAADeEQADACBEpKWlyZQpU2zTevfuLZGRkY6VCQAAAAgFBMAAAAgRq1atkm3bttmm9enTx7HyAAAAAKGCABgAACHCvfVX0aJFpUuXLo6VBwAAAAgVBMAAAAjRAFj37t2lcOHCjpUHAAAACBUEwAAACAHa9XHlypW2aXR/BAAAAPxDAAwAgBAc/VET3/fq1cux8gAAAAChhAAYAAAh4KeffrI9b9++vZQuXdqx8gAAAAChhAAYAABB7vjx4zJv3jzbtMsuu8yx8gAAAAChhgAYAABBbtasWZKUlGSbRgAMAAAA8B8BMAAAgtzPP/9se163bl2pXbu2Y+UBAAAAQg0BMAAAglhqamqGANill17qWHkAAACAUEQADACAIPbnn3/Kvn37bNMIgAEAAABZQwAMAIAg5t76q0SJEtKuXTvHygMAAACEIgJgAAAEsZ9++sn2vFu3blKwYEHHygMAAACEIgJgAAAEqT179pgukK569erlWHkAAACAUEUADACAIPXLL7/YnkdEREiPHj0cKw8AAAAQqgiAAQAQIt0fW7duLeXKlXOsPAAAAECoIgAGAEAQSkhIkFmzZtmm0f0RAAAAyB4CYAAABKH58+fLyZMnbdMuvfRSx8oDAAAAhDICYAAAhED3x8qVK0vTpk0dKw8AAAAQygiAAQAQZNLS0jIEwLT7oybBBwAAAJB1BMAAAAgy69atky1bttim0f0RAAAAyD4CYAAABBn31l8xMTHSuXNnx8oDAAAAhDoCYAAABJmff/7Z9lyDX0WLFnWsPAAAAECoIwAGAEAQOXbsmCxatChD/i8AAAAA2UcADACAIDJ37lxJTk62TevRo4dj5QEAAADCAQEwAACCyIwZM2zPa9euLbVq1XKsPAAAAEA4IAAGj5YvXy49e/aU2NhYk3emTZs2MnHixCzPZ//+/XLvvfdKnTp1pFChQhIXFydt27aV999/P1fKDQDhFgDr1q2bY2UBAAAAwkWU0wVAcHa/0QsuDVgNGjRIihcvLpMnT5aBAwfKjh07ZMSIEX7NZ+XKldK1a1c5cuSIyV/Tv39/OXHihKxdu1amTp0qt956a64vCwCEko0bN8rmzZtt0/Q4CgAAACBnCIDBRvPO3HTTTVKgQAFZsGCBNGvWzEx/4oknpFWrVvLII4+YQFb16tUzTeLcp08f8/8///xTmjRpkuF7AAC+W39FRUVJp06dHCsPAAAAEC7oAgmbOXPmyKZNm+Sqq65KD36pkiVLmuBXYmKijB07NtP5vPfee7J9+3Z58cUXMwS/rIs6AIDvANiFF15oWuECAAAAyBmiELCZN2+e1y43Vh6a+fPnZzqfCRMmSEREhPTr10/Wr18vM2fOlNOnT0v9+vWle/fuEh0dnQulB4DQpTcYtAu6K/J/AQAAAIFBAAw2GzZsMH81ab27ChUqSLFixdLf4+si7p9//pGyZcvK22+/LaNGjZLU1NT013U0sylTpkjjxo0zLY8mzPdk9erVJph26NAhP5YKTouPj3e6CEDQb9MLFy40eRJdtW7dmuMcch3HaIQbtmmEk2DbnjWVDb15EKroAgmPB1jt8uhJiRIlMj0IHz58WFJSUsxF29NPPy0vvfSS7Nu3T3bu3CmPP/64bNmyRS677DI5c+ZMriwDAIQi99ZfZcqU8etGAQAAAIDMEbpFwFmtvTQIdscdd9hGjdSAmHaJnDhxonz77bcyZMgQn/NasmSJz5ZhcXFxAS07che/F8JNILdpHXjEvfujtqQF8grHaIQbtmmEk2DZnmn9hVBGCzDYWC2/vLXy0tEdvbUOc5+H6t27d4bXrWl//PFHDksLAOFh//79smLFCts08n8BAAAAgUMADDZW7i9Peb727t1r8tN4yg/mqmjRolK5cmXz/9jY2AyvW9M0KT4AQGTWrFkZpnkajAQAAABA9hAAg02HDh3MXx210d2MGTNs7/Glc+fO5u+aNWsyvGZNq1GjRo7LCwDhwDq+Wpo1aybly5d3rDwAAABAuCEABpsuXbqYURrHjRsnK1euTJ+uXSKff/55iY6OlmuuuSZ9+p49e2TdunUZukzecsst5u+LL74oR48etbUie/PNN6VAgQLSr1+/PFkmAAj2vInuNx3o/ggAAAAEFgEwZEhqOGbMGHNB1r59exk+fLhJYt+0aVP577//TBDMteXWyJEjpUGDBvL999/b5nPBBRfIfffdJ//++680adJEbr/9djMvnc+uXbvk2Weflbp16zqwhAAQXFatWmVGynVFAAwAAAAILIZwQAadOnWShQsXyqhRo2TChAmSlJQkjRs3ltGjR8vAgQP9ns+rr75qPvfuu+/K559/LhEREdK8eXP54IMP5PLLL8/VZQCAUO3+qHkUL7zwQsfKAwAAAIQjAmAhaNu2bbJz5045ePCgFClSRMqWLSv169eXQoUKBew7WrVqJdOmTcv0fRrY0oc3w4YNMw8AgH8BML0Jod3NAQAAAAQOAbAQMXfuXBNo+vXXX03eLXcFCxaUFi1amJZVGnCKi4tzpJwAAP/pyLra4tYV3R8BAACAwCMAFuQmTpxouiJq/q20tDSpWrWq9O3b14wOVrp0aTl9+rQcPnxY1q9fL3/++acsXrxYHnvsMRkyZIg8/fTTUrFiRacXAQDgxbx580w3c1cEwAAAAIDAIwAWxNq0aSPLli2T8847z+TTuvLKK6Vy5cpe368XUQsWLJCvvvrKBM7Gjx8vX3zxBfm2ACBEuj/WrFlTateu7Vh5AAAAgHBFACyIaQ6Y2bNnS+fOnf16v3aD7NKli3m8/vrrJmi2ffv2XC8nACAwATBt/aUDhgAAAAAILAJgQUxbc2VXbGysPPPMMwEtDwAgcLZs2SIbNmywTevatatj5QEAAADCWQGnCwAAQH7k3vorMjLS7xa/AAAAALKGAFgIWbJkiV/ve//993O9LACAwAbA2rZtKyVLlnSsPAAAAEA4IwAWQjp06CDPPvusGQ3SEx0Nsk+fPnLHHXfkedkAAP7TQUt+/fVX2zRGfwQAAAByDwGwENKwYUMZNWqUdOrUSXbt2mV7be7cudK0aVOZOnWqXHXVVY6VEQCQuaVLl8rx48dt0wiAAQAAALmHAFgIWbZsmWndpcnxmzRpIpMnT5aUlBR56KGH5JJLLjEXU19++aV5AABCp/tjXFycnHfeeY6VBwAAAAh3jAIZQqKjo+XNN980rQSuu+46GTBggFSpUkV27twprVu3lq+//lpq1qzpdDEBAFkMgOlNDE2CDwAAACB30AIsBPXs2VPuu+8+kwtsx44dpuXApEmTCH4BQAg4ePCg/Pnnn7ZpdH8EAAAAchcBsBCj3Rw1x9cjjzwilStXlsGDB5uLqRYtWsj06dOdLh4AIBOzZ8/OMJhJ165dHSsPAAAAkB8QAAshS5YsMYnux48fL3379pVVq1aZbo/a+ishIUF69eol99xzjyQmJjpdVACAn90fGzduLJUqVXKsPAAAAEB+QAAshLRv31727dsnH3zwgUmAX6pUKTO9X79+8s8//8hFF10kb731lrRq1crpogIAPNCWXzNnzrRNo/sjAAAAkPsIgIWQc889V/766y8ZPnx4hte0O+TcuXPl6aefljVr1jhSPgCAb6tXr5bdu3fbphEAAwAAAHIfo0CGkN9//92MBOlNRESEPPbYY2Y0MQBA8Hd/LFy4sLRr186x8gAAAAD5BS3AQoiv4Jer1q1b53pZAAA5D4B17NhRChUq5Fh5AAAAgPyCABgAAHng1KlT8ttvv9mm0f0RAAAAyBsEwAAAyAPz5883I/a6IgAGAAAA5A0CYAAAOND9sVq1alKvXj3HygMAAADkJwTAAABwIACmrb908BIAAAAAuY8AGAAAuWz79u2ybt062zS6PwIAAAB5hwAYAAB53PqrQIEC0rlzZ8fKAwAAAOQ3BMAAAMjjAFjr1q2lVKlSjpUHAAAAyG+inC4AfHeZCZTY2FgpUaJEwOYHAPBPcnKyzJ492zaN7o8AAABA3iIAFsRq1KgRsATJo0aNkieeeCIg8wIA+G/ZsmUSHx9vm0YADAAAAMhbBMCCmAasAhUA69ChQ0DmAwDIWfdH7frYsmVLx8oDAAAA5EcEwILYk08+6XQRAAABDoBdfPHFEhkZ6Vh5AAAAgPyIJPgAAOSSw4cPy/Lly23T6P4IAAAA5D0CYAAA5JJff/1VUlNTbdMIgAEAAAB5jwAYAAB51P2xYcOGUqVKFcfKAwAAAORXBMAAAMgFaWlpGQJgtP4CAAAAnEEADACAXLB27VrZuXOnbRoBMAAAAMAZBMAAAMgF7q2/ChUqJO3bt3esPAAAAEB+RgAMAIA8CIBp8Ktw4cKOlQcAAADIzwiAAQAQYKdPn5b58+fbptH9EQAAAHAOAbAg98UXX8iqVats0xITE+XYsWNeWxzcd999eVQ6AIAnv/32m5w5c8Y2jQAYAAAA4BwCYEFu2LBhMmXKFNu0F154QUqVKuXx/UuXLpU333wzj0oHAPCn+2PlypWlYcOGjpUHAAAAyO8IgAEAkMsBMG39FRER4Vh5AAAAgPyOABgAAAG0c+dO+ffff23T6P4IAAAAOIsAGAAAATRz5kzbc2351aVLF8fKAwAAAIAAGAAAudr9sWXLlhIXF+dYeQAAAAAQAAMAIGBSUlJk1qxZtml0fwQAAACcF+V0AeBfPplly5bZnqvly5dLWlpahvcCAJzxxx9/yJEjR2zTCIABAAAAziMAFgI++eQT83Clga82bdpkeK9OZ6QxAAiO7o8lS5aU1q1bO1YeAAAAAGcRAAty1157rdNFAABkMwCmye+jojjVAgAAAE6jVh7kPvvsM6eLAADww9GjR+X333+3TaP7IwAAABAcSIIfhnbt2uV0EQAg3/n1119NEnxXBMAAAACA4EAALEwkJyfLd999J7169ZKaNWs6XRwAyHdmzpxpe16vXj2pXr26Y+UBAAAA8D90gQxxa9euNQnyv/zySzl48KBJgl+1alWniwUA+Yoee93zf9H6CwAAAAgeBMBC0IkTJ2T8+PEm8LVs2TIzLSYmRgYNGiTXXXedSboMAMg7//33n2zbts02jQAYAAAAEDwIgIWQRYsWmaDXpEmT5NSpU6bFQZs2bWTp0qUyZMgQ+eijj5wuIgDkS+6tv6Kjo6VDhw6OlQcAAACAHQGwILd//34ZO3asfPrpp6aFgQa9atSoYQJe11xzjdSuXVsKFCCVGwAEUwDsoosukqJFizpWHgAAAAB2BMCCnObz0gT3xYsXl+uvv94EvfTCCgAQHBISEmTevHm2aXR/BAAAAIILAbAgl5SUZFp4DR48WIYPHy7Nmzd3ukgAABcLFy403dJdEQADAAAAggt954Lck08+KdWqVZMPP/xQWrRoIU2aNJGXX35Zdu/e7XTRAAAeuj9WrFhRGjdu7Fh5AAAAAGREACzIPfHEE7J582aZOXOmDBgwQDZs2CAPPfSQVK9e3bQw+Oqrr5wuIgDka+4BsK5du0pERIRj5QEAAACQEQGwEHHxxRfLN998Y1p+vfnmm9KoUSOZNWuWXHvtteZC688//5QFCxY4XUwAyFf27Nkjq1atsk2j+yMAAAAQfAiAhZhSpUrJnXfeKStXrpTly5ebvGAlSpSQFStWSKdOneScc86RZ555xuliAkC+oK1zXekNiUsuucSx8gAAAADwjABYCDv//PPl/fffNy0Qxo4da0aH3Lp1q8kbBgDI++6P5513npQpU8ax8gAAAADwjABYGChUqJAMHTpU5s2bJ+vXr5eHH37Y6SIBQNhLTU01XdFd0f0RAAAACE4EwMJM7dq15bnnnnO6GAAQ9v7++285ePCgbRoBMAAAACA4EQALYuPHj8/R53fs2CGLFi0KWHkAAP8zd+5c2/PixYtL27ZtHSsPAAAAAO8IgAWxIUOGSJMmTUx+rxMnTvj9uT/++ENuvvlmqVOnToYLNABAYMyZMyfDaL0FCxZ0rDwAAAAAvIvy8RocpqM83nfffXLdddfJ7bffLt27d5fWrVub5Pfly5eX2NhYOXPmjBw+fNjk/vr9999NPpoNGzaYkSGffvppufvuu51eDAAIO/Hx8eYY7UqP0QAAAACCEwGwINa8eXPTgktbGehojz/++KN89913EhER4fH9aWlpUqtWLXnxxRflxhtvlFKlSuV5mQEgP1iwYIGkpKTYppH/CwAAAAheBMBCQOfOnc3j6NGj5qJL83rt3LlTDh06JIULF5ayZctK48aNpUOHDqbLJAAgd/3666+25/Xr15fq1as7Vh4AAAAAvhEACyHa5bF3797mAQBwhra2dc//RfdHAAAAILiRBB8AgCxYs2aN7N692zaNABgAAAAQ3AiAhYAlS5aYLpDFixc3ye0vueQSWbZsmdPFAoB8afr06bbnhQoVkvbt2ztWHgAAAACZowtkkPvnn3+kS5cuZrRH19wzixcvNkGwRo0aOVo+AMjvAbCOHTuafIwAAAAAghctwIKcjuiowa9HH31U9u7dax6PP/64nD59WkaPHu108QAgXzl58qQZjMQV3R8BAACA4EcLsCD322+/Sbt27eSZZ55Jn/bUU0/JvHnzZP78+Y6WDQDyGz32JiYm2qYRAAMAAACCHy3Agty+ffukTZs2Gaa3bt3avAYAcK77Y40aNaRu3bqOlQcAAACAfwiABbmkpCQpVqxYhulFixY1rwEAnAuAaeuviIgIx8oDAAAAwD8EwAAA8MPGjRvNwxXdHwEAAIDQQA6wEPDVV1/J0qVLbdOsi7CePXtmeL+2Rvj555/zrHwAkB/MmDHD9jwqKko6d+7sWHkAAAAA+I8AWIi2OvDWHUcFojvO8uXLZdSoUbJ48WLT1bJx48Zy3333yYABA7I1vyNHjsi5554ru3fvlm7dunksNwCEUgBMczEWL17csfIAAAAA8B8BsCC3ZcuWPP/OuXPnmiBVoUKFZNCgQeYCb/LkyTJw4EDZsWOHjBgxIsvzvOOOOyQ+Pj5XygsAuS0hIUHmzJljm9alSxfHygMAAAAgawiABbnq1avn6fclJyfLTTfdJAUKFJAFCxZIs2bNzPQnnnhCWrVqJY888oj0798/S+XS4Nm4cePknXfeMYEwAAg1ixYtkpMnT9qmderUybHyAAAAAMgakuDDRls4bNq0Sa666qr04JcqWbKkCX4lJibK2LFj/Z7fgQMH5NZbb5WhQ4dKr169cqnUAJC73LttlytXznTrBgAAABAaCIDBZt68eeZv165dM7ym3SLV/Pnz/Z7fLbfcIpGRkfLmm28GsJQA4GwATJPfByLfIgAAAIC8QRdI2GzYsMH8rVOnTobXKlSoIMWKFUt/jz+jV3733XcyZcoUKVWqVLZygLVt29bj9NWrV0v9+vXl0KFDWZ4n8h753xDK9uzZI//8849tWps2bdiuETbYlhFu2KYRToJte9aUOToSNhCKaAEGjwdY7fLoSYkSJfw6COtoj3fddZcMHjxY+vTpE/ByAkBecU9+ry2/2rVr51h5AAAAAGQdoVvkihtvvFEKFiwob731Vo7ms2TJEp8tw+Li4nI0f+Qtfi+EooULF9qe64AgNWrUMP9nm0Y4YXtGuGGbRjgJlu2Z1l8IZWy9sLFafnlr5XXs2DHTndEXTZI/bdo0mTRpkpQpUyZXygkAeSEpKUlmzJjhMR8iAAAAgNBBF0jYWLm/POX52rt3r5w4ccJjfjBXK1asMH+vvPJK01XIetSsWdNM14tJfe46yiQABKPFixebwL+rnj17OlYeAAAAANlDCzDYdOjQQV544QWZOXOmDBo0yPaa1QpC3+OLdk/UQJk7nTZhwgSpUqWKaUFRrVq1AJceAALr559/tj0vW7astGzZUo4cOeJYmQAAAABkHQEw2HTp0kVq1aol48aNM0nsrVZa2iXy+eefl+joaLnmmmtso6PpaxUrVkzvPjlw4EDzcLd161YTAGvUqJGMGTMmD5cKAAITAOvRo4cUKEDjaQAAACDUUItHhqSGGpxKTU2V9u3by/Dhw2XEiBHStGlT+e+//0wQzEr+rEaOHCkNGjSQ77//3tFyA0CgadB+zZo1tmm9evVyrDwAAAAAso8WYMigU6dOZtSzUaNGmRZbmgS6cePGMnr0aI8tuwAgHP3yyy+255GRkdK1a1fHygMAAAAg+wiAwaNWrVqZkRwz8/nnn5uHP7TlWFpaWgBKBwB53/3xwgsvlNjYWMfKAwAAACD76AIJAICb06dPy5w5c2zT6P4IAAAAhC4CYAAAuJk7d66cOXPGNq1nz56OlQcAAABAzhAAAwAgk+6P1apVMyPYAgAAAAhNBMAAAHChuQrdE+Br98eIiAjHygQAAAAgZwiAAQDgYu3atbJ161bbNPJ/AQAAAKGNABgAAD66PxYqVEg6derkWHkAAAAA5BwBMAAAXLh3f9TgV5EiRRwrDwAAAICcIwAGAMD/i4+Pl4ULF9qm0f0RAAAACH0EwAAA+H8zZ86U5ORk27SePXs6Vh4AAAAAgUEADAAAL90fGzRoIDVr1nSsPAAAAAACgwAYAAAikpqaKtOmTbNNo/sjAAAAEB4IgAEAICLLli2Tffv22abR/REAAAAIDwTAAAAQkR9//NH2PDY2Vtq1a+dYeQAAAAAEDgEwAABE5IcffsjQ+qtgwYKOlQcAAABA4BAAAwDkexs3bpQ1a9bYpvXu3dux8gAAAAAILAJgAIB8b+rUqbbn2vKre/fujpUHAAAAQGARAAMA5Hvu3R87duwoJUuWdKw8AAAAAAKLABgAIF87dOiQLFy40DatT58+jpUHAAAAQOARAAMA5GvTpk2TlJQU27TLLrvMsfIAAAAACDwCYACAfM29+2OzZs2kWrVqjpUHAAAAQOARAAMA5FsJCQkyffp02zS6PwIAAADhhwAYACDfmjdvnpw4ccI2rXfv3o6VBwAAAEDuIAAGAMi33Ls/VqlSRZo3b+5YeQAAAADkDgJgAIB8KS0tTX788ccMrb8iIiIcKxMAAACA3EEADACQL61YsUJ27dplm0b3RwAAACA8EQADAORL7t0fixcvLh07dnSsPAAAAAByDwEwAEC+5N79sXv37hITE+NYeQAAAADkHgJgAIB8Z/v27bJy5UrbtD59+jhWHgAAAAC5iwAYACDf+f77723PIyMjpUePHo6VBwAAAEDuIgAGAMh3vvvuO9vzDh06SOnSpR0rDwAAAIDcRQAMAJCv7Nu3T3777TfbtH79+jlWHgAAAAC5jwAYACDfjf6YlpZmm9a3b1/HygMAAAAg9xEAAwDkK5MnT7Y9v+CCC6RSpUqOlQcAAABA7iMABgDIN44cOSJz5syxTbviiiscKw8AAACAvEEADACQb0ydOlWSk5Nt0wiAAQAAAOGPABgAIN+O/ti8eXOpWbOmY+UBAAAAkDcIgAEA8oUTJ07IjBkzbNNo/QUAAADkDwTAAAD5wrRp0+TMmTO2af369XOsPAAAAADyDgEwAEC+HP2xfv360qBBA8fKAwAAACDvEAADAIQ9bfn1888/26bR+gsAAADIPwiAAQDCnub+0hxgrsj/BQAAAOQfBMAAAGFvwoQJtuc68qOOAAkAAAAgfyAABgAIa6dOnZIff/zRNm3AgAESERHhWJkAAAAA5C0CYACAsPbLL7/IyZMnbdMGDhzoWHkAAAAA5D0CYACAsDZx4kTb8zp16kizZs0cKw8AAACAvEcADAAQtjTx/U8//WSbRvdHAAAAIP8hAAYACFsa/Dp9+rRtGt0fAQAAgPyHABgAIN+M/tigQQM599xzHSsPAAAAAGcQAAMAhKVjx47JtGnTMrT+ovsjAAAAkP8QAAMAhKUffvhBEhISMuT/AgAAAJD/EAADAOSL7o+NGzc2XSABAAAA5D8EwAAAYefIkSMyc+ZM2zSS3wMAAAD5FwEwAEDY+fbbbyUpKck2jQAYAAAAkH8RAAMAhJ2vvvrK9rxFixZSu3Ztx8oDAAAAwFkEwAAAYWXbtm2yYMEC27ShQ4c6Vh4AAAAAziMABgAIK+PGjbM9j4yMpPsjAAAAkM8RAAMAhI20tDT58ssvbdO6du0q5cuXd6xMAAAAAJxHAAwAEDZWrlwpa9eutU0bMmSIY+UBAAAAEBwIgAEAwjb5fdGiRaVPnz6OlQcAAABAcCAABgAICykpKRnyf11xxRUmCAYAAAAgfyMABgAIC3PmzJG9e/faptH9EQAAAIAiAAYACMvujxUqVJDOnTs7Vh4AAAAAwYMAGAAg5J08eVK+++4727TBgwdLVFSUY2UCAAAAEDwIgAEAQt63334rJ06csE2j+yMAAAAACwEwAEDI+/TTT23PGzVqJM2bN3esPAAAAACCCwEwAEBI27BhgyxYsMA27YYbbpCIiAjHygQAAAAguBAAAwCEtM8//9z2XPN+0f0RAAAAgCsCYACAkJWSkpIhANa7d28pW7asY2UCAAAAEHwIgAEAQtbMmTNl9+7dtmnXX3+9Y+UBAAAAEJwIgAEAwib5fcWKFaVbt26OlQcAAABAcCIABgAISQcPHpQffvjBNu3aa681OcAAAAAAwBUBMABASPr6668lKSnJNu26665zrDwAAAAAghcBMABAyElLS8vQ/bFdu3ZSt25dx8oEAAAAIHgRAAMAhJzff/9dVq1aZZtG8nsAAAAA3hAAAwCEnPfff9/2vFixYnLllVc6Vh4AAAAAwY0AGAAgpBw6dEgmTJhgmzZ06FATBAMAAAAATwiAAQBCyueffy4JCQm2abfccotj5QEAAAAQ/AiAAQBCRmpqqnzwwQe2aRdccIE0adLEsTIBAAAACH4EwAAAIePXX3+VjRs32qbdeuutjpUHAAAAQGggAAaPli9fLj179pTY2FgpWrSotGnTRiZOnOjXZ9PS0mTatGnmolRbZZQsWVKKFCkiTZs2leeff17OnDmT6+UHkD+S38fFxUn//v0dKw8AAACA0BDldAEQfObOnSvdunWTQoUKyaBBg6R48eIyefJkGThwoOzYsUNGjBjh8/Oam0eDZzExMdKxY0czLw16zZgxQx599FGZMmWKzJs3zwTFAMBfu3btkh9//NE27frrrzfHKgAAAADwhQAYbJKTk+Wmm26SAgUKyIIFC6RZs2Zm+hNPPCGtWrWSRx55xLS2qF69utd5REZGyrPPPiu33XablCpVKn16UlKS9OvXT6ZOnSrvvvuuPPDAA3myTADCw5gxYyQlJcU27eabb3asPAAAAABCB10gYTNnzhzZtGmTXHXVVenBL6XdGDX4lZiYKGPHjvU5j4IFC5qWXq7BL2v6yJEjzf/nz5+fS0sAIBxpAP2jjz6yTdPWpeecc45jZQIAAAAQOmgBBhvtmqi6du2a4TW92Mxp8EqDYCoqyr9Nr23bth6nr169WurXry+HDh3KdlmQd+Lj450uAkLct99+K7t377ZNu/rqqx07BrBNI5ywPSPcsE0jnATb9qw9hvy9lgOCDS3AYLNhwwbzt06dOhleq1ChghQrViz9Pdnx6aefeg2wAYC3gTU++OAD27SqVatyHAEAAADgN0K38HiHQbs8elKiRIls34XQkSE//PBDadCggdxwww1+fWbJkiU+W4bpCHAIHfxeyI6FCxfKypUrbdPuueceKV++vDiNbRrhhO0Z4YZtGuEkWLZnWn8hlNECDHli+fLlZhRJDaxNmjTJjBAJAP54/fXXbc+1Jaq/QXQAAAAAUATAYGO1/PLWyuvYsWNeW4d588cff5iuSjqy5IwZM6RRo0YBKSuA8LdlyxaZMmWKbZoGv7J6HAIAAACQvxEAg42V+8tTnq+9e/fKiRMnPOYH8xX8uuSSSyQ1NdUEv1q2bBnQ8gIIb2+99ZY5flgiIiLkrrvucrRMAAAAAEIPATDYdOjQwfydOXNmhtc0gOX6Hn+DXykpKTJ9+nRp3bp1gEsLIJxpi9NPPvnENq1v375Sq1Ytx8oEAAAAIDQRAINNly5dzMXluHHjbEmntUvk888/L9HR0XLNNdekT9+zZ4+sW7cuQ5fJP//80wS/dJhcTX5vJa0HAH9p8Ov48eO2affee69j5QEAAAAQuhjCARlG9RgzZox069ZN2rdvL4MGDZLixYvL5MmTZdu2bfLKK69IjRo10t8/cuRIGTt2rHz22WcybNgwM+3w4cMm+HX06FHp3r27zJo1yzxcxcbGmlHcAMCTpKQkefPNN23Tzj//fGnXrp1jZQIAAAAQugiAIYNOnTrJwoULZdSoUTJhwgRzIdq4cWMZPXq0GcnRn25LR44cMf/Xro/6cFe9enUCYAC8+uabb0zQ3b31l+YAAwAAAICsikhLS0vL8qcAh1ldKpcsWeJ0UeCHQ4cOmb9xcXFOFwUhQJPe62ix2r3aUq1aNdm4caMULFhQggHbNMIJ2zPCDds0wkmwbc9chyGUkQMMABBUvv/+e1vwSz3wwANBE/wCAAAAEHoIgAEAgoY2StYBN1yVK1dObrjhBsfKBAAAACD0EQADAASNmTNnyl9//WWbdt9990nhwoUdKxMAAACA0EcADAAQNNxbf5UsWVJuvfVWx8oDAAAAIDwQAAMABAUdfXbBggW2aXfeeaeUKFHCsTIBAAAACA8EwAAAQeG5556zPS9SpIjcfffdjpUHAAAAQPggAAYAcNyiRYtk+vTptmk333yzlClTxrEyAQAAAAgfBMAAAI6P/Pjoo4/apsXExMiIESMcKxMAAACA8EIADADgqF9//VXmz59vm3bbbbdJ5cqVHSsTAAAAgPBCAAwAEFStv4oWLSoPP/ywY2UCAAAAEH4IgAEAHDN16lRZtmyZbZomvi9XrpxjZQIAAAAQfgiAAQAckZqaKo8//rhtWsmSJeX+++93rEwAAAAAwhMBMACAIyZNmiSrVq2yTXvggQekVKlSjpUJAAAAQHgiAAYAyHMJCQkZcn+VKVPGdH8EAAAAgEAjAAYAyHPvvvuubNq0yTZt5MiRUqxYMcfKBAAAzlqxYoVERkbKuHHjHPn+jh07So0aNXI0j9mzZ0tERIT88ssv2fr87t27zcA8zz//vISa9evXS1RUlLz33ntOFwUIKgTAAAB56uDBg/L000/bplWvXl1uu+02x8oEAEA42rp1qwkCuT6io6OlatWqctVVV2VIRWC57777pH79+jJo0CCv89Zzuc6vYMGCsnfvXq/vGzZsWIYyuD8+//xzCbSLL75Y2rVrJw8++KCkpKRk+fPaUr1IkSJy11132aZrYM4q9+rVqz1+Vr+vcuXK6e/T38Gb66+/3rwnLi7OtJD3FRR0XWcFChQwaSMuuugis/50ZG1LvXr1ZPDgwfLUU0/J8ePHs7zsQLiKcroAAID85cknn5T4+HjbtNGjR0uhQoUcKxMAAOHsnHPOkSFDhpj/nzhxQpYuXSrffPONfPfdd/Lrr7/KhRdemP7eOXPmyLx58+STTz4xQRZPNNjy2WefmUBMcnKyjB07Vh566CGfZbjhhhukSpUqHl9r1qyZ5AYNfvXu3VvGjx8vV199td+f27Bhg3zxxRcmCOapdbq1Xj799FN57bXXMrw+bdo004JMW2Hp+vFGg1MTJ0406/Hw4cMyZcoUGThwoM+yjRgxwpRJg2ybN282v+HChQvlzz//lLffftu27F999ZW89dZbGdJOAPkVATAAQJ5Zu3atfPDBB7ZpF1xwgQwYMMCxMgEA8p/ExETZvn27hIpq1aqZllvZVbt2bXMDytVjjz0mzz33nAmOaMDL8v7770vhwoWlf//+XuenQTNt1TR8+HATXNJAUGYBsBtvvFHatGkjeal79+4mx6jWPbISAPvoo4/MaNVDhw71+Lq2emvfvr0JMOlNPH3uSteHjmzdtGlTWbBggdfvmTBhgpw8edK0uHvjjTdM0DGzAJiOll2hQoX05//884+0bt3apJfQ+dSsWdNMb9y4sTRp0kQ+/vhjk2bCWzATyE8IgAEA8oxW2ty7Ibz++uvmzicAAHlFg1916tSRUKEtkjSIFUh33nmnCYAtX748fdqRI0fkhx9+kF69ekmJEiW8flYDNUoDYHpe1+e//fab6Y6XWzTQpt36evToIT///LOt7uDtNQ1M9e3bV8aMGSMbN270ax1q4EtbtGmrNF/biHZd1O+cOnWqXHHFFenTDxw4ID/99JNp8bZlyxaf36XrTVuJaWutv//+2wQWt23bZlJD+EsDXR06dJDp06fLH3/8kR4AU3qDUQOdc+fOlS5duvg9TyBcEQYGAOSJmTNnZkhEq3djW7Vq5ViZAADI71wDSdpaKSkpyWdLLe2q9/3330vDhg3l/PPPl2uuucYWFMstmo/s2muvNd0L33zzzfTp2hLtlltukfLly5tcWO431dq2bZvetdMf2qJKg1iZtVa7/PLLTQ4u7Qrq6ssvvzTrUANkvqxZs8Z0Re3ataspu65HDb65zy8rvC27BtYA0AIMAJAHNKmr3ml2pTm/QnFkJQAAwoE1QqDrjahFixaZvxrY8ubrr78253Wre6C2+tLE8JMmTTL5pry1HNNWWNpKyZOHH37Yr1yg77zzjimjvl+TwmvrJ72ZduzYMdOdsFy5chk+06JFi/Rl0xZrmfFnHaiYmBjz3dq9UgcBsLolavdHLVfLli19ft4KGFrrUVuR6YBAGgB74okn/O6y+O+//8r8+fNN8MtaVk/LDoAAGAAgD7z00kvy33//ZegOqTlNAABA7tLuf1YOMM059fvvv5suixp00m6Qlp07d5q/2iLJGys5vpVUXwMv+v9nn33WdEX0FmTy1ULsnnvu8SsApsnfNXm/5g/V7oeXXnqpLF68WO69917p1q2bx89Yy2ItW2b8WQcWbeWlQTlrEABdrxqQ0vQOvmgLMW0ppsFC7aJpLZu2KtO8YrNnzzYtwzx55ZVX0pPgaxdLTYJ/+vRpM1qlBiJd6fx1vfq77EC4IwAGAMj1vCWulWulw69nliwXAIDcojdg9PwUKnJ6w2jTpk3y1FNPpefF0uDOVVddZVpSaWsly6FDh8zf2NhYj/PRHFOaq0rzSbmO6Kjd9zQApkEubwGwJUuWBCQJvrZqeuaZZ0zZ161bZ3J1vfjii17fX7p0afP34MGDfs0/s3Xgqnnz5ub7tdWW1mu09ZcOVmAFB73RPGvazVLzhLkG/nQ9agBM16O3ANirr76aHnjUAJeuD52P1RXV0/L7u+xAuCMABgDINTpM+u233266SrjSu6WehhUHACAvaJAi0Enlg5m2jvLW/dCVjv6ozpw547MVl3uwRZPFa3BLc1ppC6hGjRpJburTp4888sgjJmeWBtx8jZCpraNUkSJF/Jp3ZuvAUyswbX2lrba0Bdxll11mRp70xdt61MBi5cqVTYBMc61ZwTtXe/bssY0CmRldfn+XHQh3JMEHAOQarQjOmjUrQ6W1d+/ejpUJAAB4VrZsWfNXgy+eAina/VBpMnptgeT60OBXXiTD1+6DVgsrbaWloxz66uJnLYu1bDlZB55oHjDNBzZs2DCTi0xbY/myY8cOMzCQ0tEbXddhZGSk7Nq1y9w41JZgOaUBwvj4eL+XHQh3tAADAOSKo0ePmpwcrooWLWoS5AIAgOBjdYdcv369tG7d2vbat99+a4Ip2uXPW4J4TZCvua20S6KvVlk5oS2//vzzTxP40jJqiytNJK8jHXpKHK/L4rpsWVkH/tBWWprHS5Pwa+stb7nILDpSpQam2rVrJ/Xq1cvwenJysskppoFEbVmWE9rNV7/L32UHwh0BMABArnjggQdk3759tmmaf4TE9wAABCdtkaQ0mbt79zyrZddrr70mnTp18vj5U6dOmVZiP/74o/Tv3z/g5dNW5ZoDS7tbjho1SqKiokyqhXfffdcE3TQ45k6XxXXZMqOjWmogzfqcP/S7Bw0aZPKi+Rq9UVNDaL4wbe2lQa5atWp5fJ8OHKQ50zTnWs2aNSW7srrsQLgjAAYACLhffvnFDHfuqmnTpnL33Xc7ViYAAOBbkyZNTFDGPX2BjiK5YMECM8pgx44dvX7+uuuuMwEwDZa5B8C0XuAtD5kGtLp37+6zbJrIXbteFi9eXMaNG2eCX9aoiPPnzzcBMc2h5d5yTZelVKlS0r59e/GHvlcDRgsXLjR5wPwZnVLXi/sIjJ7MmTPHjNyo8/cW/LLWowbAdD3q4ALZpcuu60lHywRAAAwAEGCaM+PGG2+0TdO7oR988EF6ZRUAAAQfbZl08803mxENly1bJq1atTLTdXRDbb1k5f7yRgNQOtKz5rjSXFf6f4uv3GB6gyyzAJgGhTQBvObGcm0VpQEqDbq1bNnSjGy5cuVKEyRTW7dulUWLFpn5+xPIstxyyy0ycOBA05JtwIABEijWOtB8Yb7od2uZdbkeffTR9MT8WaGt8aZMmWKCX5UqVcp2mYFwEpGmRzIgxLRt29b81TsjCH7WcNJxcXFOFwV5QJPB6p1ZV1qR9jVEeahhm0Y4YXtGuGGbzvmNLG2ddOWVV8rHH3/sSBm0lZkGr/SRE5on7KWXXpK1a9fKOeeck6VE+5qfSz/j3houVLZnbXF30003mdZx/rZ+8wfXYQhljAIJAAgYTZDrHvzSodA19xcAAAh+mtR95MiRJkfVtm3bJFQdOXJE3n77bbn11luzFPxSBQsWlBdeeEFmz54tixcvllCjifSff/55M+p2IINfQKijLwoAICA04b1WMl1pl8cvvvjCDA8OAABCg3a/S0hIkO3bt0v16tUlFGmuLR2N+s4778zW57Uboi6/1QIrlGi5dRADHR0TwP8QAAMA5JgOsa15QTRBravHH39czjvvPMfKBQAAsk7zZT3xxBMSyrT+kdM6iI5oHYq0C+uTTz7pdDGAoEMADACQY6NHj5YZM2bYprVo0cJ0oQAAAMgKTRJ/9OhRp4sBIMwQAAMA5Mhvv/1mksy60tGKNHeI5tAAAADIisxGSQSA7CAJPgAg2w4cOCCDBw82XSBdvffee9KwYUPHygUAAAAArgiAAQCyRYNemmB1165dtumaC4w7twAAAACCCQEwAEC2PP300zJ9+nTbtAYNGsi7777rWJkAAAAAwBMCYACALJs0aZI89dRTGfJ+6fSiRYs6Vi4AAAAA8IQAGAAgS/7880/TzdGdtvxq1KiRI2UCAAAAAF8IgAEA/LZnzx7p06ePnD592jb9zjvvlOuuu86xcgEAAACALwTAAAB+0aDX5ZdfniHp/cUXXyyvvfaaY+UCAAAAgMwQAAMAZCo5OVkGDRokv//+u216nTp1ZOLEiRIVFeVY2QAAAAAgMwTAAAA+paWlyfDhw+XHH3+0TS9ZsqRMnTpVSpUq5VjZAACAb1u3bpWIiAjz6Natm8f3LF261Lw+bNiwDK+dOnVK3nzzTenUqZOULVtWChYsKKVLl5Z27drJiy++KAcOHMiDpQCAnCMABgDw6eGHH5bPPvvMNi0yMlImTJgg9erVc6xcAAAga2bOnClz5szx+/1///23NGzYUO655x7ZsmWL9O7dWx544AG56qqr5MyZMzJy5EipXbu2nDx5MlfLDQCBQJ8VAIBXr7zyirz00ksZpn/++ede7yIDAIDgU6NGDdm+fbs89NBDsmzZMtPiy5edO3dK165d5eDBg/Lqq6/K3XffbW6AuVqxYoXccccdkpSUlMulB4CcowUYAMCjd955x9zldff666/LkCFDHCkTAADBmi5g78m9sv3YdjmVdEqCkbbaHjp0qPzxxx8mf2dmHn30Udm/f7888sgjct9992UIfqnmzZvL/PnzpUSJErlUagAIHFqAAQA8Brm0sutOK8HaDQIAAJy17vA6WbhroRw9c9Q8L1CggNQtVVcurnaxFIoqJMHk6aeflvHjx8tjjz0mV1xxhcnn5Ynm/dL3FS5cWO6//36f82QgHAChghZgAACbl19+2WPw66abbpJnn33WkTIBABCM1h5aKz9t+ik9+KVSU1Nl3aF1MnH9RElOTZZgUq1aNbnzzjtl48aN8uGHH3p93/LlyyUxMVHOP/98M+gNAIQDAmAAgHQvvPCCPPjggxmmX3vttfL+++9nmi8EAID8IjUtVRbsXOD19f2n9pvWYcFGW3PHxsbKM888IydOnPD4nr1795q/VapUyePSAUDuIQAGAJCUlBTTtVErxe5uuOEG+fTTTz3m/gAAIL/afWK3HE887vM9aw+vlWBTqlQpM8Kz5vfSwW4AIL8gAAYA+ZwOYz5w4EB58803M7x28803y0cffWTymQAAgP9JSEnI9D2JKYkSjO666y7TuktHd9RAmLsKFSqYv7t27XKgdACQO7iiAYB87PDhw3LJJZfI5MmTM7x2++23m26PBL8AAMioTOEymaYG0PcEI01u/9RTT5kukPrXXcuWLSU6OtqMGHns2DFHyggAgcZVDQDkU2vXrpULLrhAFi5cmOG1UaNGydtvv03OLwAAvCgZU1Jqlqzp9XU9hzYr20yCleb3bNSokXz88ccmKb6rIkWKyKBBg+T06dOmlZgvycnJJvE/AAQ7AmAAkA99//330qpVK1m/fr1tuub5GjNmjDz55JMEvwAAyETX6l0ltlCsx9faV2kv5YuWl2Cl5/znn39ekpKSzHnf3XPPPSdly5Y1f9966y2PQa5Vq1ZJx44daSUGICREOV0AAEDeJrt/4oknTIXXXdGiRWXSpEnSo0cPR8oGAECoKRZdTIY2HCqrD66W9YfXS1JqkpQtXFaal2suFYtVlGDXu3dvadeuncfW4JojbObMmdK3b1+5++675fXXX5cuXbpI+fLlTcBr2bJlsnz5cilRooQULFjQkfIDQFYQAAOAfGLPnj2mu8OsWbMyvFa5cmX54Ycf5Pzzz3ekbAAAhKqYyBg5v/z55hGKRo8eLRdeeKHH15o1ayZr1qwx3SS19bjWFY4ePSrFihWTBg0ayLPPPmsGzNGbaAAQ7AiAAUA+oBXWG264QQ4dOpThtfbt28vEiRPNHV0AABBeatSoIWlpaV5f13ygvl7XfGDaAkwfABDKyAEGAGHs5MmT5s6sdl/wFPzSyuzs2bMJfgEAAAAIa7QAA4AwpYGtW265RTZt2uTxbu6HH34oQ4YMcaRsAAAAAJCXCIABQJg5ePCgjBgxQr744guPr7do0UK+/vprqVu3bp6XDQAAAACcQBdIAAgTOjz5Z599ZpLSegp+RUREyCOPPCKLFy8m+AUAAAAgX6EFGACEgfnz58u9994rK1as8Ph6rVq1THBME94DAAAAQH5DCzAACGH//fef9OvXTzp27Ogx+BUZGSkPPfSQ/PPPPwS/AAAAAORbtAADgBC0ceNGeeaZZ+Srr74yXR+95fr6+OOPpVmzZnlePgAAAAAIJgTAgBCXlpYmyWnJUrBAQaeLghw4lXRKdp/YbfJ0VS1eVaIjoz2+b/369fLSSy/J2LFjJSUlxeN7ypQpY4JjN910k2kBBgAAAAD5HQEwIEQdTzwuS/cslbWH1kpiSqIUjS4qTco0kVYVWxEMy2Vnks/IX/v/kjWH1siJxBNSqlApaVymsTQt21QiC2Qt4JSUmiS/bv/VzMtqyaXBr2blmslFlS8yATENci5cuFBeeeUVmTp1qnnuSVTBKLls2GUy8PaB0qRKE5GIgCwuAAAAAIQ8AmBACIpPiJdv1n1jgi+Wk4knZcnuJbL12FYZUG9AUATBklOTZcORDbL/4H6JiYyRIiWLSOGowhLKTieflvHrxsuh04fSpx04dUDmbJ8jm+I3yRW1r8hSEGzqpqmy+ehmEwg7ePqgHEs8ZqbvOL5Djhw/IgeWHpB3331XVv650us8NEh2frfzpcvwLlKmShnZkbhDdmzeIUsKL5H+dftLiegSOVxqAAAAAAhtBMCAEPTbrt9swS9Xe07skb/3/y0tKrQQJ206ukmmbZlmWksVSihkpi2NXyoXVr5QWlZoKaFq0a5FtuCXq23x2+TvA3/LeeXP82teu07sMsGvE0knTKBQA4Yqflu8zJs+T96Y94Yknzw7zZv+V/aXBgMbSIlqGYNch08fNgG2qxtc7Vd5AKftP7Xf7F8xUTFSvXj1LLeoBAAAALwhAAaEmISUBPnvyH8+37P64GpHA2B6EfvDph8yJGfXAM/8HfOlaMGi0jCuoYQCLbMG8fSCXGlXRV9WHVjldwBs/eH1kiqpsvHoRonfFy87FuyQ7Qu2y9EtR31+TvN6XXnllfLII4+IVBCZsXWG1/dqQFRzi1UqVsmvMgFOOHzmsAmY6/Zq0ePERVUuknPLnOto2QAAABAeCIABIZgs3duofxarG51T/tj7h88yLtuzLOgDYLqeF+1elJ5jLapAlFQrUc20vPOWoF4dSTji93fs3btXfh3/q/w14y85uOZgpu+PKhwlDXs2lGG3DJN7L77XTJu+dbpfLc0IgCGY97UJ6yeYbtyuTiadlOlbppt9r37p+o6VDwAAAOGBABgQYooULCIFChTwGWByOufT5vjNPl+3cl3lRjmPnjkqh84cMjnHKherbPJjubZMS0hOkNKFS5vWJa40j5e2xEpJS5HSMaVN8EtzrbnnM1t3ZJ3UL1XfaxCsWMFiXsumyetXrFhhEtn/9NNP8scff/i1TMWqFJPa3WtLjS41JLpotByIOWBazJQuVFqiIjI/jEdG0I0MwWvlgZUZgl/u3Y7rlapn25cBAACArCIABoQYDezULVVX1h1a5/U9TncZSpO0zN/jZSTD7NKA2sytM2XbsW3p8y4RU0LaV2lvBgRYsHNBeu6uAhEFpE6pOtKlWhcpGFlQvlrzlfx3+D/T0kSDcjtP7DTBr9qxtaVQ1Nn8ZdpVUbtCFowoKLtP7pYaJWqkL+uRM0ckPvFssOzCSheaYJnOS+3atUvmzp0rc+bMkZkzZ5rn/ogoGCGlWpaSqpdUlSpNqtgCdgdOHzBlUbVia8nK/b4T5J8Te0421yqQ+zSw7IvuXxo0L1ukbJ6VCQDC1fXXXy+fffaZlC5dWnbv3i0xMWdTPLjq2LGjzJ8/3+d8tG6j7wOAUEIADAhBGtTZeXynx0T42tWtabmm4qRqxav5vKiNLRQb0NZfGgyauH6iaf3l6ljCMfl67deSmpYqpWJKpU/X55p/S1uq7Ti2w4y4aNGWXaeST5mWVZprrVGZRrLn5B7TQkwDW9pCbMeJHWY0y9iYWPMeKxhVKLKQrFy3Uub8MEdSNqXI4gWL5b//fOdrs4kQiT03Vkq0KSGlW5SW4iWKm2CdFYSz6IiR+t2qZomaUqFoBROUKyAFMsxSu5qWjCnpfxmAPKbbc2asASIAANl3/PhxmThxork5dvjwYZkyZYoMHDjQ6/tHjBghxYp5btleo8bZG4EAEEoIgAEhSINHOrLf73t+N0nZNUdV0eii0rRMU2lZsaVp8eQkTcCv3Qm9tfJqUb5FenempJQkOZ1y2gSUslvufw7+kyH4ZdHglpbDNQCmNGi1fO9yE+wqElUkfbquS20pZr1f561ldO1OqOs//ky8rNu+To5vPS5HNh6RYxuOyYF1B+TkEe9duTzR9VC2flkpc0EZiWsdJ9Elo+V48nFJSU1JD3S5d2GsVLSS6Qq7/dh2+X3v7+mjSer7NRimXSM1cNawTEO5pNolWSoPkNd0m/W2/yptpandlgEAOTNhwgQ5efKk3HffffLGG2/IJ5984jMAdv/990uFChXytIwAkJsIgAEhqnh0cbm4+sWmG19yWrLjQS9XmnurW41uMmvbLBPIcQ32aPCrWblmpsviwp0LZf2R9eY9JtF1XH25qPJFGfJzZUZbc3miwa3TSafP/j/plAkaWfae2iunk0+bRNsR+i8iwrT60hZeGjA7nnjcdKE8mnBUihcoLid2n5CjW4+aERqPbT1mAl8nDmdsgecPvZvatWtX6dGrh+yrtk8Klixoum5q4E2/O+JMhJxIOmHKZQXnElMTTcs1fd63dl9Zd3id/LL5FzNNA2TapVOXR8tdsVhF6XNOHykWXUw2Htkof+3/y7R20/lrQK1BXANpVaGVVCleJVvlBwLpvHLnmX3YW8D83LhzTddvAAha8btE1v0ksm2RSHKiSGw1kXrdRWp2FCmQsXW2UzTgFRUVJQ8++KD8/fff8uuvv8q2bdukevXqThcNAPIEATAgxGngRvNSBRvNQ1arZC3599C/cujQIdM9sFmNZqb7owZpxq0dZ+vCqV2cVh9Ybbp2XlX/KluwKjMJKQkep2swy/X/2kJKA2G6zrRLowbhNEim352QmCBnjpyR5P3JcmbPGTm5+6Qk7UuS03tOy5kDZyQtNfs5y/T7mjdvLp06dZJLLrnE5MzQnBv/HvxXpm2Zlt6VsUqxKmbdVE6pLLtP7DbBO102LacGurSVnD7+OfCPHDxz0ATIdLk0AKYtvqzX957ca6Yv3LVQlu5eaualrcTUdtluWg3qutaWej1q9iC5OByl3bY7Ve0kc3fMzRAE05FX21dt71jZACBTu/4SmfOsSEri/6btX3P2sXWhSMdHRCKdv+Ras2aNLF26VHr27Cnly5eXa665xgTANB/Yk08+6XTxACBPOH80BhC2NIjVskJLOVTwbPJ5DX6pxbsXe8xfprQr1LK9y6RjVf8Tq5YrUs4kynalF9Ia7DqccFiSkpLk8MHDkhifKKlHU+XUgVOyd8deSTycKAkHEiThUIIkHknUTPcBEVEgQiqcU0HatmsrQ3sPlfbt25tks+40+OZKW/Fp90UVGx1rupFqwnudpq+VKVzGBAu09ZeORqkt5XQ5NQAWVzhOKhataHKY6TRN+q+tarQFmxX8smjAb+uxreb30cTi+hsBTjqv/Hkm2LXqwCoziqsGzBuUbmAGedDgLgAEJR3Bdt4L9uCXqx3LRP6ZJNJssARD6y81dOhQ8/eKK66Q2267zQTAnnjiCTPCuLtXXnnFYw6wQoUKycMPP5wHpQaAwCIABo+WL18uo0aNksWLF5vgQePGjU2+gAEDBvg9j4SEBBk9erR8+eWXsmPHDhMAuPTSS+XZZ5+VcuXK5Wr5Eby0u+PaQ2t9vkdbjfkKgCUnJ8vRo0dNAtcjR45I/O54WbF6hZw4ckKOHzouxw8fl/379suxQ8fk9JHTkhCfELDglieFSxeWMvXKSKWGlaR+s/pSp3EdiSkSIwPrD5Sqxat6/Zx7XjJt7aXdFBNSE0yXLx1hsl6peibAp11ENRCgwatN8ZtMqzBt5VW8YHHzd/+p/Wbkyvql65sgmLby0sDYvlP7PH63dv3Ux1/7/rLlZAOcogHeztU6O10MAPDfxtki/59qwav1v4g0GSBSwJ7PMy9pXV7r4yVKlJC+ffuaaRrYuvzyy+Wrr76S2bNnm9QM7l599VWP8ytZsiQBMAAhiQAYPA5r3K1bN3N3Z9CgQVK8eHGZPHmySZKpgSwdESYzqamp0qdPH5kxY4a0adNG+vXrJxs2bJAxY8aY5tbaBLtsWYa0D3XajfDvA3/LwdMHTcBGRxzUXFTuLTa0RZIGrY4dOyYHjh6QPVv2SMLpBEk8lWj/ezpREk6d/buu2DqTqFU/o0EuK9ilD53mhAJRBSSuWpxUrVdV4mrFybG4Y1K+dnkpFPu/URrPRJyR4xHH5Zzi5/gMfilt3aJ5urQ1nI7iqF0VrS5gGtTS9VqqUCkT0LKY7o3/n1ctITnBBMBcA2g6YmX1EtXTc4O5t7TT6ZorTB/622kifc3Jpq3AaGkDAEAW7F2d+XtOHxE5tutsXjCH/PDDD3LgwAG54YYbTP3eot0gNQCmrcM8BcD27NlDEnwAYYUAGGw0SHHTTTeZZtALFiyQZs2amenaNLpVq1byyCOPSP/+/TNNljl27FgT/Bo8eLB8/fXX6a1LPvjgA7n11lvlsccekw8//FDyEw1saGDQ9eFpWiDfo3f89DfVR2b/T0hKkH3H9pm/hSIKSUxETIb36F9t2XfmzBnZfXS37InfI0kJSZKcmJz+kGSRgqkFJTEh0bxPH/oZLU9WzJE54pSCJQpKmaplpFDFQlKoQiEpXqW4lKpcSopVKiaRBSNNl8QzKWekbYm2puWVdr+0Alf6V7sd6gAF3mgQatPRTbLhyAYTOPz76N+m25fm9HKlwa19J/eZvxoIUxoUKxRVSAokFTAtxNzpfDQAdk7sOSa4pUEt/T7re7WsSWlnR7XUz2uy/Tnb55jgW5/afQiCAQAQZqzujxrwctWlSxepXLmyCZDpjUZP6RoAIJwQAIPNnDlzZNOmTXLdddelB7+sps4a/Bo2bJgJbmlAzJePP/7Y/H3hhRdsXatuvvlmefnll01QTIdfLly4sIST66+/XsaPH+8xKIXgER0bLUXKFJFi5YpJgdIFJKZMjBQpV0SKlikqsZVipXiJ4hJZINJ0N9Ttt05sHZNLTFtT6XMNIFUoWsEEpoqXLC5nip0xXRL1Ny8RXcIkotf8Xdqly6KBJ+3aefj0YdPySltnWS27dL4aiNIRHjUgpiN8am6uzUc3mzJoN0YNgOn8NZG/tg7TgQ80CHcy+aT5vgJyNnClrcO0RVdSSpL8d+Q/k2csMTnRvEffawW/dMTL6ALR5rs0v5gG5DT/kn4WAAD4oXwjke1LfL+ncCmR4pXEKdp7Y+bMmeb/HTp08Po+bQl211135WHJACDvEQCDzbx588xfT82gtVukmj9/vs95aIuf33//XerVq5ehpZgGD3QUPG399ccff8hFF13kc15t27b1OH316tVSv359M7pgMDl+/LicPp1JLgjkCu2qGxcXZ/LLpRVLk5gSMVKidAmJKBYhqcVSpUhskbOPUkUkouDZoKwGoawgl/7fokEo7V5o5luwuJTXfzHlRWLOvn74zGHTZVNbyqlCUkhiC5xN8C/aOzFFzLZ5KPrs9qmBJc3JpQEsTUivIz1qY69yhcuZwFbJlJJSMqqkaX1Vq3gtk+9LG3cViC5gcoJJgkjEqQgTKItOiDZdHeMi4qRITBFT/qTTSSahvc5L84rt3LfTfEfp1NISKZFyLPWYpCakSkkpKbERsaalmXa9jJZoqRpTVQolnF2Of7f/K1UjfXfbxFnx8fFOFwEIGLZnhJs826ZLnyfF0yIlIvmM17ecqd1eEo86t4+999575kaspiQ555xzMryekpJibt5+9NFHcvXVV5tp2uJfaauwggWDb6Tx/CbYjtHaKyQqijACQhNbLmw0T5eqU6dOhtc0B4AmzLTe4422INMTrad5uM5b55NZACzUeBpBB75p8CmmcIwUKlLIbF+lipeSokWLmv/rX31oC8RSpUpJbGysx/9rUlfXE7F2Lfxj7x/m/8lpyaY1lmtvwcIFC5tAkebLKh5TXEoULCH7Tu8z79HXtBXXvuR9EhMVY1p6udPWYVbl0BsNoqkt8Vvk34P/mv9r663jScfPviFNTPfJKJeh0bWLonaftFqO6d8zyWfMSJA6n8TURPNcW4Bpgy8Nbml55f/rpnGF4kzwzLRUkwipXKyyGU1PA2s6uubplNNSNKqoCZZpN8ryRcqb55b0sgEAgMxFF5VTre+WIktflwgPI0EmV2gmifV6i1P0xts333xj6lrvvPOO1KhRw2vdXQfAWrFihTRv3jzPywkAeYUAGDzeYdDAgicaaMjsLoQ/83B9ny9Llizx2TJMW/wEk2Dv0hkZGWnu5GmwSB+RUZGSJElSILKASfCur9v+H1VACkUXkkolKpn362djYmJkT8IeSYlMkaiCURIVEyUFowtKZHSk+RsVHWUeHWp0kLIly5r3JyYmmr/ly5c3gS3roa22dJ1lZwRCDQRpl8LNpzdLocRCUr9YfSlftLx5rUSpErIxcaNsP779bDCoSIQJNikNBtUrUU+io6Olbqm6Ui+2num+GHkk0rTOOpJ6ROJT4iU1OlUqx1aWpEhdQ/Zgly53YkSinInxfse3SfUmElckTn7a+1P6+zQ/1wE5YFp/pS9H4hlJiU4xLb00J9expGNSLPZ/Q46nJKeYbotant3Hd0tKVIoZJdKM/Ji43+Qj0y6M1nurl6xuEvFbisUUk6KxReVk4klZeWClCTaWK1pOSsSUMEGyM/K/9+q0YNungh3rC+GE7RnhJk+26bjOIpXriqydKrJtsYi2BoutLlKvhxSs1VEKOzj6ow48tW3bNtP18fzzz/f6Ps3/qwEwHfTq4osvTm/19emnn5r6mifdu3c3rcqQ/47RtP5CKGPrBQLojjvuMKNfakBHW4P5emT2npzOQ1+zgl36VwNa7oEmTZI+cf1En8ukuaiubXStbdqS3Utk0a5FXj9TunBpuf7c69OfW11VA3Xi1hZev2z5xeS5sizfu1waxDWQHjV7mDuemttKE8hr6ynNi6XBpbjCcdI4rrEpn45WeW6Zc01AbNL6SSYfV82SNdPnt/rQavnv6H9Sv1R90+LLlT7vVbOXyeXlic63XJFyZ1tvnTqQPt09yb3S5PPaWszkEJM0SUxJNIG92rG1TY6u/af3m9EiNT+Y6Q4ZdbalmOb20pEcTyWdkjJFykjZwmVNN07Xrpyu36tdHq3WbCVjPAenG8U18mv9AwAAFyWriLS59ewjCJPfaw5fX3Sk97vvvtu0FnvttdfSp7/66qteP6Mt8QmAAQg1BMBgY7Xa8tY669ixY6bLWU7n4fq+cNKiRQvzCBUa3NJgjgaIvPHUBVATpWteK5PLyoMLK10ouUVHQZy6earHgQXWHlprAl97T+41wb2qxauaboAaVNLAUMHIglI/rr50rtbZFszTIJS7GiVqmCTyu0/uNvNx1bJCS+lQtYNUKlZJlu5ZahLcq6LRReW8cudJqwqtzHP3ERU18OQ6KqN2OdRAlpZZW1/p+tRgmAa19LsbxjWUKsWqmDxkqfK/5dV5FCtYzDw0mX2zss3Sc5P5outC158nsYVi5bzy5/n8PAAACB3jxo0zj8xo74xTp05lyAkMAOGGABi85udybyq9d+9eOXHihLRqdfbi3ptatWqZFkjecoX5yjOGvKUjA2qrqdUHVnt8XQMtzcs19/i5QfUHyfQt02XH8R3p0zVnVuHIwjJh/QQTdNIWVZfWulSiAnioWbl/pc9RNX/b+ZvpEmgFn/Sv5rtK//yBldK6YmvT4kuDR/8c/MfjfDS41KB0AxNU0vlpl0MNBmqQqH7p+uY9jco0Mg8NgOnr2h3RNeil31G5eGXZdXyXea5BOO2muefEHtPaSwNdVq4wXW+xxWLNd+i89LNtK7WVZXuWnV0OKWByk2lLMW9555qWa2rmrYnx3WnQTQOAV9W/ygT1NsdvNi3lNACqy9O+SnvzuwIAAABAOCIABhvNEfDCCy+Y4ZIHDRpke23GjBnp7/FFczppkGzp0qUm74DrSJB6wT1r1iyT2DyUWkqFs85VO5sAjhWksWggp2uNrqYrnyfammlg/YGmRZF2zdMcU2PXjDWtr1y7Ks7ZPkeuq3mdNC3bVNYdXmemaYBGW081LtPYJGTPCteAm6cgz87jO83oiprc3p22dNM8X6OXjTbBJA0yaXkqFa1kgkPuNCCkraaGNx3uMTgUnxAvJ5NOmhZcpaI9t4zUYNv3J743277S+amtx7aav9q1Uek8apWsZcpk0eCbjuxotTCrUKyCHD9yPH1eqmR0yfTf64JKF5iWb9qqzXIi6YRp4aaBM014r4nyzy9/vnSt3tUkxdfvtYJwAAAAABCuCIDBpkuXLqYFlzaXvuuuu6RZs2bp3Rmff/55kzj8mmuuSX//nj17zGsVK1a0dWkcPny4CYCNHDlSvv766/TcUx9++KFs3rzZvB7sCePzCw24DKz3f+3dfZCVZfkH8BtYBQFRREAUWPwp+DKJmSYQtrkWSlhOhqWQqKWOY/1RUWPQVJZjL46ONlNNTTmCxQg6k6k14R85IvISlZgDCgqIoii+8CIqgaL7m+t2Dp5dDrK7sBzO4+czc2YP55w9ez/rM8dzvntd131henrT02nZhmW5citaI4cfPjy3xe1O7FQYlx/O+2Gz8Kskwq57Vt2TVr22Kr1e937L5KpNq9KiFxel8445Lw05pPKuRJW0bCsM297ZlkOeCIxiF8VXt76aBvQYkIOt2BUxRFXVkxufzIHVoF6DcgAWxxrfE0FWVEGVh08l8f0xi6tczBZ78LkHc9gW4vyO8KpxUONOv7O4feyQsemBNQ/knxfzuKKtMSrM4mdHe2OEgD0OeH83xpIIuiJAi0q7UtgVrZkx3D/CvPhdREVZVN6NqR+TWzXjueP2mIkW888i4Aux62V9r/p8rBFKxqYAY48e2+rfOwAAQC0TgNFMDEy/9dZb0znnnJMaGhpyFVjs1Be7wkQ110033dRsC+UIuG6//fY0bdq0ZgM2L7300nTnnXfmYZqrV6/OVWMrV65Md999dzr66KPT9ddfX6UjpJIITI7tfWy+tEe000XAtSsx2yrmcw3sP7DZ7REI3bvq3nTlSVe2uhIs2irLB8tH+BWVZfFcIdodo10wQqrN2zbnNsZo83v5zZdz+BXKw6YI7yK4iwCtUhAXLaLlQ/DjZ5daPMuDqgj01m1Zly4+4eJcVVUu2iRjx8kYqh+VcjHvK4bWT398erNqrpYGHjwwD9SPVsmHnn8orzGq7aLSLVofR/Qfkc6qPyuvsbQTZIRx0Tp5ar9T082P3JwDuAjbWoZ7S19dmp87fgYAAEDR7VxKwYdeY2NjmjdvXho9enQOsX7729+m/v37p1mzZqXvfOc7rXqO+HB+7733ph//+MfplVdeSbfcckuaP39+uvzyy9PChQtT3759O/w42Hee2vDUjkH6b7/7dm63i0qsGPIeAVWERaXwqaXYyXFXc7gqiQH85WFOtDSWh1ERkJUCq9gl8aUtL+XrURUWImiLqquSmLkVodn6re8FS+ViqH2ESSGO44n1T6SZy2emDf+rPGw+wq3/rPtPxfuixTJ2WTx9wOm52ix2pIydKHcljjECqnBS35Nyy2k8R+z4GKFWDNvf3rQ9B4uVdpeMMC6q12IuWaXKtlIItj974603cpVcpZlmAAAAbaECjIpihtfs2bN3+7jp06fnSyVdu3ZN1157bb5QbKXqo2ivi7lSO7yT0uZ3N6cjOx3ZbFh7S5V2YdyVaF28YNgF6a+r/ppDttJ8rKh8KrU9RsXTyk0rcygXM8pi3liEZBEEHXPoMTutPQKp5994Pg+mDxGgHdf7uHTGwDPyz4tWzbhEoPboy4/mqq0I0iKIajkbLNpIGwc3tupYzhlyTg4GW85fi0Du/KHn73juBWsX5Gq2mG1WaSZarCl2piwX4ePutOYx1RDHNH/t/B0tptHiGfPiRh81ese5BgAA0BYCMGCPxZyqXz36q+bhV5moVOrRZecZVyWlOV2tFYHWlcOvTEteWZJnWUVgFTOuSuFIhFZRPRXhV1QRRVXYlu3v7bgYOzG2FN839NChedh9VKRF8FSqmlr80uK8s2RpjlipZTHaEp/a+FQ6sc+JzUKZre9sbfVxxHouOu6i9OzmZ9OKTStyYBcVafGcpZ8f1U+Pr3/8A58nKuhaBmCl4fgfJH5P+5v4Xfx5xZ+b7fS5bfu2XFkXba0Rfpa3pAIAALSGAAzYYxEYxSytjdveq8YqF2FFl6Yuqa7Lrl9ujj302HbNLYvZWjHYvbwFsiQG10c1WO8+vdP4YePTUS8eleY9P2+Xz3d8n+Pf25GxbJkRSC1at2jHvyPoijbECMlC/NwI2aLyrCR2WWyLqFyL2WO72gggqs4qHV+5qIRrKXabLN9BspLY6GB/8+CaB5uFXy0rwyJ0jJlnAAAAbWEGGLDHXnvrtXTcYcel+oPrm1VYxWyqqESKVsGYoVVJ7DgZA+LbIyrHdheGDO/7XsgTM7OiuqqSGEo/+sjRFedoxVyv8uOJoK/cpq3Nw6eT+56c9qZuXbrttuKpR12PisFatFjuqrruY/0/lgb0fD+42x9EhVcEih9kd9VwAAAAlagAA/ZYhF4RDkXYNOywYenFN17MbY/RlhjD3rtt65Z3gowwpnygef0h9Wnc0eP2qKUtgqs1m9dUrHQ66uCj0in9TsnXo6Xwy8d9Of1r3b9y62TM3orbYjB9tHD2PLDnTt9fGuzfsv0y2irjeMK76f1qpQgB93YAFhVnERDGsPtdKQ3Lbyl2ePzKCV/Jx7xi44rcwtm/e/90Sv9T8nHvb6JNdbePeXv3jwEAAGhJAAbssdihMCq5XtnySq5Yiplb5SIcO+2I01LDsIa0+rXVOYiJaqyW1VTtEcPoJ54wMf173b9zdVAEJLGeGJoeVU7lFVAReJ1x1Bn5Em2McV9USu1Kv+79dgrtOqfOOeSLnSCjWil2ZYwgL9oJI6j6oOdrr1hvhHyVdtI87KDD0qn9T93l98Z/l3P/79x8PeaXdcT69pYITHf7mG67fwwAAEBLAjBgr/jEkZ9I9626b8eQ+JZVTLGrYuxu2BHzm2IGWcPAhnxprVjT7sR6Y87YYy8/1uz2CMEivOvXo1+65MRL9kqQ90Ei0Jtw/IQ0/4X56cmNT+YZWRHmxbD8+L3HOltjfw6/wqHdDk2Dew3OYd+u7O0KOwAA4MNBAAbsFUN7D80zpx56/qH0v7f/16xip+GwhoothrXgzEFn5iHzz772bLPbO3funNs3Ozr8Kg+HopJrzDtj8k6TMbC/rbtn1oIx9WPSrCdnNZu9VhIVfRGQAQAAtFXxPj0BVROzqI4/7Pjc5hi7F0ZL26Beg9L69etTrYqdHy8YekFa8/qatGzDsrwjY9+D+uYWy2qEelH5FZeiisB00gmT0uKXF6cnNzyZN0+IVtSo/IoZawAAAO0hAAP2qqhKimqwIonWwfpe9flCx4tgsa0trQAAAB+k8wfeCwAAAAA1TgAGAAAAQKEJwAAAAAAoNAEYAAAAAIVmCD416emnn05btmxJo0aNqvZSaIXt27fnr3V1XnIoBuc0ReJ8pmic0xTJ/nY+L126NHXv3r3ay4B2UQFGTerdu7cX3hqyfPnyfIGicE5TJM5nisY5TZHsb+dzfAaLz2JQizo1NTU1VXsRQLGVKvUWLlxY7aXAXuGcpkiczxSNc5oicT7D3qMCDAAAAIBCE4ABAAAAUGgCMAAAAAAKTQAGAAAAQKEJwAAAAAAoNLtAAgAAAFBoKsAAAAAAKDQBGAAAAACFJgADAAAAoNAEYAAAAAAUmgAMAAAAgEITgAEAAABQaAIwAAAAAApNAAZ0iBkzZqSrrroqnXbaaalr166pU6dOafr06dVeFrTL2rVr0y9/+ct09tlnp8GDB6cDDzwwHXHEEWn8+PFp0aJF1V4etNnWrVvT5MmTU0NDQzryyCNTt27d8jk9evToNG3atPT2229Xe4mwx2644Yb8/iMu//znP6u9HGi1IUOG7Dh3W17OPPPMai8PalanpqampmovAijm/7ifffbZdPjhh6cePXrk6/Gh6rLLLqv20qDNpkyZkj9IHXPMMfmNZ9++fdOKFSvSPffck+J/o3fccUe68MILq71MaLVXX301DRo0KJ1++ulp2LBh+ZzeuHFjmj17dn69jrA3rnfu7G+l1KalS5fmP8LV1dWlN998My1cuDCNHDmy2suCVr+P3rRpU/rWt75V8T7vp6F9BGBAh/jHP/6Rhg4dmurr69MvfvGLNHXqVAEYNevuu+9Offr0SZ/61Kea3f7www+nT3/606lnz57pxRdfzNWOUAvefffdtH379lzNWC5uGzNmTJozZ07629/+ls4999yqrRHaKyoYI+w64IAD8nuRqEoXgFFLIuQKzzzzTLWXAoXiz3pAh/jMZz6Twy8ogi9+8Ys7hV/hk5/8ZGpsbMyVM0uWLKnK2qA9orKrZfgVolrm/PPPz9dXrlxZhZXBnvvpT3+aHn/88XTbbbelLl26VHs5AOwn6qq9AACoZVFhUAoOoAiVYffff3++/pGPfKTay4E2W7x4cQ7ArrvuunTiiSdWeznQbtu2bcvzc1944YXUq1ev9PGPfzyNGDGi2suCmubdOgC005o1a3K774ABA9JJJ51U7eVAm7311lvpZz/7WZ5lt379+vTAAw+k5cuXp69+9au5vRdqLTC45JJL0kc/+tF0zTXXVHs5sEfWrVuXX4vLRQg2c+bMPJMUaDsBGAC0c8bMpEmT8geuGJCvzYZaDcB+8pOf7Ph37DD23e9+N/385z+v6rqgPX70ox/lDUoeeeQRr8nUtAi+YsxCVOLGnNGnnnoq3XzzzelPf/pT/uNEjF04+OCDq71MqDlmgAFAO9rEYkOHuXPnpiuvvDIHYVCL4oNVVH+988476bnnnku/+c1v0q233pp3O928eXO1lwetFkPub7rppvSDH/xA+y4179prr01nnXVW6tevX+revXuuavzjH/+Y32/ETr1/+MMfqr1EqEkCMABoY/j1ta99Ld1xxx3p4osvTr/73e+qvSTYK0PxBw4cmK6++ur0+9//Ps2fPz/PUYJaELuXXnrppWn48OFpypQp1V4OdJirrroqf43XaKDttEACQBvCr2hLiL/CTpgwIQ+njeAAiuTss8/OX+fMmVPtpUCrvPHGG7n1MVTa3TS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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Constrained Bayesian fit (Gamma for NC, Beta-Prime for AE) with optional priors\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "import scipy.io as io\n", "\n", "# DATA\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3] # 0=NC, 1=AE\n", "\n", "# Feature X = max SUV_94 per subject; label y = flags\n", "X = np.nanmax(suv[:, :, 94], axis=1).astype(float).ravel()\n", "y = np.asarray(flags, int).ravel()\n", "\n", "# Guard for logs\n", "X = np.clip(X, 1e-12, None)\n", "p_emp = float(y.mean())\n", "\n", "# Median AE scale (used if you enable prior_s)\n", "S_CENTER = float(np.median(X[y == 1])) if np.any(y == 1) else float(np.median(X))\n", "\n", "# TOGGLES (priors)\n", "\n", "# 1) Prior on r = theta / theta_max (Beta prior). Helps keep theta off the cap.\n", "#prior_r = None\n", "prior_r = (1.05, 1.05) # weakly avoid boundaries\n", "\n", "# 2) Prior on log b (Gaussian). Helps keep AE tail believable (prevents b→0).\n", "prior_b = None \n", "#prior_b = (0.0, 0.5) # mean log b = 0 (b≈1), sd = 0.5\n", "\n", "# 3) Prior on log s (Gaussian). Auto-center at AE median if mu_log_s is None.\n", "#prior_s = None\n", "prior_s =(None, 0.35) # None uses log(S_CENTER) as the mean, sd = 0.35\n", "\n", "# 4) Prior on log(a - k) (Gaussian). Stops a≈k collapse (keeps AE head shape alive).\n", "#prior_delta = None\n", "prior_delta = (0.0, 0.5) # mean log delta = 0 (delta≈1), sd = 0.5\n", "\n", "# ===================== HELPERS =====================\n", "def logistic(z):\n", " z = np.clip(z, -60, 60)\n", " return 1.0 / (1.0 + np.exp(-z))\n", "\n", "def sigmoid(t):\n", " return 1.0 / (1.0 + np.exp(-t))\n", "\n", "def softplus(t):\n", " t = np.asarray(t, float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0.0)\n", "\n", "# dE(x) pieces for log-odds\n", "def dE_ess(x, a, b, s, k, th):\n", " x = np.asarray(x, float)\n", " return (a - k) * np.log(x) - (a + b) * np.log1p(x / s) + x / th\n", "\n", "def dE_const(a, b, s, k, th):\n", " return -(a * np.log(s)) - betaln(a, b) + k * np.log(th) + gammaln(k)\n", "\n", "def dE_full(x, a, b, s, k, th):\n", " return dE_ess(x, a, b, s, k, th) + dE_const(a, b, s, k, th)\n", "\n", "# Monotonicity cap for theta\n", "def theta_max(a, b, k, s, eps=1e-12):\n", " A = a - k\n", " if A <= 0:\n", " return np.inf\n", " r = np.sqrt(a + b) - np.sqrt(max(A, eps))\n", " if r <= 1e-12:\n", " return np.inf\n", " return s / (r * r)\n", "\n", "# φ = [p_raw, b_raw, s_raw, k_raw, d_raw, u_raw] (unconstrained reparam)\n", "def unpack_phi_mono(phi):\n", " p_raw, b_raw, s_raw, k_raw, d_raw, u_raw = phi\n", " p = sigmoid(p_raw) # (0,1)\n", " b = softplus(b_raw) + 1e-6 # >0\n", " s = softplus(s_raw) + 1e-6 # >0\n", " k = softplus(k_raw) + 1e-6 # >0\n", " delta = softplus(d_raw) + 1e-6 # >0\n", " a = k + delta # enforce a > k\n", " th_cap = theta_max(a, b, k, s) # theta cap from monotonicity\n", " th = th_cap * sigmoid(u_raw) # 0 < theta <= th_cap\n", " return p, a, b, s, k, th\n", "\n", "# ===================== PRIORS: p always on; others optional =====================\n", "TAU = 25.0 # shrink p toward empirical AE rate\n", "alpha = max(TAU * p_emp, 1e-6)\n", "beta = max(TAU * (1.0 - p_emp), 1e-6)\n", "\n", "def neg_post_phi_mono(phi, X, y):\n", " p, a, b, s, k, th = unpack_phi_mono(phi)\n", " eps = 1e-12\n", "\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(X, a, b, s, k, th)\n", " px = logistic(L)\n", " nll = -np.sum(y * np.log(px + eps) + (1 - y) * np.log(1 - px + eps))\n", "\n", " # Prior on p: Beta(alpha, beta)\n", " npr_p = -((alpha - 1) * np.log(p + eps) + (beta - 1) * np.log(1 - p + eps))\n", "\n", " # Optional: Gaussian prior on log b\n", " npr_b = 0.0\n", " if prior_b is not None:\n", " mu_log_b, sigma_log_b = prior_b\n", " npr_b = 0.5 * ((np.log(b + eps) - mu_log_b) / sigma_log_b) ** 2\n", "\n", " # Optional: Gaussian prior on log s (auto-center)\n", " npr_s = 0.0\n", " if prior_s is not None:\n", " mu_log_s, sigma_log_s = prior_s\n", " mu_log_s = np.log(S_CENTER + eps) if mu_log_s is None else mu_log_s\n", " npr_s = 0.5 * ((np.log(s + eps) - mu_log_s) / sigma_log_s) ** 2\n", "\n", " # Optional: Gaussian prior on log(a - k) = log delta\n", " npr_delta = 0.0\n", " if prior_delta is not None:\n", " mu_log_d, sigma_log_d = prior_delta\n", " delta = max(a - k, eps)\n", " npr_delta = 0.5 * ((np.log(delta) - mu_log_d) / sigma_log_d) ** 2\n", "\n", " total = nll + npr_p + npr_b + npr_s + npr_delta\n", "\n", " # Optional: Beta prior on r = theta / theta_max\n", " if prior_r is not None:\n", " thcap = theta_max(a, b, k, s)\n", " if np.isfinite(thcap) and thcap > 0:\n", " r = np.clip(th / thcap, 1e-9, 1 - 1e-9)\n", " total += -((prior_r[0] - 1) * np.log(r) + (prior_r[1] - 1) * np.log(1.0 - r))\n", "\n", " return total\n", "\n", "# ===================== INIT & FIT =====================\n", "def init_phi(X, y):\n", " # Gamma(k, theta) MoM for NC group (only need k0 as a safe size proxy)\n", " X0 = X[y == 0]\n", " m0 = X0.mean() if X0.size else X.mean()\n", " v0 = X0.var() if X0.size else X.var()\n", " k0 = 2.0 if v0 <= 0 else max((m0**2)/(v0 + 1e-9), 1.5)\n", "\n", " # AE median to seed s0\n", " X1 = X[y == 1]\n", " m1 = np.median(X1) if X1.size else np.median(X)\n", "\n", " p0 = np.clip(float(y.mean()), 1e-3, 1 - 1e-3)\n", " b0, s0 = 1.5, max(m1, 0.5)\n", "\n", " return np.array([\n", " np.log(p0 / (1 - p0)), # p_raw\n", " np.log(np.expm1(b0) + 1e-9), # b_raw\n", " np.log(np.expm1(s0) + 1e-9), # s_raw\n", " np.log(np.expm1(k0) + 1e-9), # k_raw\n", " np.log(np.expm1(1.0) + 1e-9), # d_raw (delta)\n", " -0.2 # u_raw (keeps theta a bit below cap initially)\n", " ], float)\n", "\n", "def fit_bayes_mono(X, y, phi_start=None, rng=None):\n", " if rng is None:\n", " rng = np.random.default_rng(0)\n", " if phi_start is None:\n", " phi_start = init_phi(X, y)\n", " obj = lambda phi: neg_post_phi_mono(phi, X, y)\n", "\n", " res = optimize.minimize(obj, phi_start, method=\"L-BFGS-B\",\n", " options={\"maxiter\": 6000, \"ftol\": 1e-9})\n", " if not (res.success and np.isfinite(res.fun)):\n", " phi_try = phi_start + rng.normal(0, 0.2, size=phi_start.shape)\n", " res = optimize.minimize(obj, phi_try, method=\"L-BFGS-B\",\n", " options={\"maxiter\": 6000, \"ftol\": 1e-9})\n", " return unpack_phi_mono(res.x), res\n", "\n", "# prediction \n", "def P_with(theta, x):\n", " p, a, b, s, k, th = theta\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(x, a, b, s, k, th)\n", " return logistic(L)\n", "\n", "# ===================== DIAGNOSTICS =====================\n", "def avg_nll(theta, X, y):\n", " eps = 1e-12\n", " px = P_with(theta, X)\n", " return float(-np.mean(y * np.log(px + eps) + (1 - y) * np.log(1 - px + eps)))\n", "\n", "def brier(theta, X, y):\n", " px = P_with(theta, X)\n", " return float(np.mean((px - y) ** 2))\n", "\n", "def auc(y_true, scores):\n", " y_true = np.asarray(y_true, int)\n", " scores = np.asarray(scores, float)\n", " pos = y_true == 1; neg = y_true == 0\n", " n_pos, n_neg = int(pos.sum()), int(neg.sum())\n", " if n_pos == 0 or n_neg == 0:\n", " return float('nan')\n", " order = np.argsort(scores)\n", " ranks = np.empty_like(order, dtype=float)\n", " ranks[order] = np.arange(1, len(scores) + 1)\n", " rank_sum_pos = ranks[pos].sum()\n", " auc_val = (rank_sum_pos - n_pos * (n_pos + 1) / 2.0) / (n_pos * n_neg)\n", " return float(auc_val)\n", "\n", "def x_at_50(theta):\n", " p,a,b,s,k,th = theta\n", " def Lx(x): return (np.log(p) - np.log(1 - p)) + dE_full(x, a, b, s, k, th)\n", " lo = max(1e-6, float(X.min())*0.2)\n", " hi = max(float(X.max())*2.0, lo*1.1)\n", " for _ in range(40):\n", " if Lx(lo) <= 0 <= Lx(hi): break\n", " hi *= 1.5\n", " try:\n", " return float(optimize.brentq(Lx, lo, hi, maxiter=200))\n", " except Exception:\n", " return float('nan')\n", "\n", "def slope_at_50(theta, x0):\n", " if not np.isfinite(x0): return float('nan')\n", " p,a,b,s,k,th = theta\n", " dLdx = (a - k)/x0 - (a + b)/(s + x0) + 1.0/th\n", " return 0.25 * float(dLdx) # since dP/dx = P(1-P)*dL/dx and P=0.5\n", "\n", "def summarize_fit(theta, X, y, label=\"fit\"):\n", " p,a,b,s,k,th = theta\n", " thcap = theta_max(a,b,k,s)\n", " px = P_with(theta, X)\n", " print(f\"\\n[{label}]\")\n", " print(\" params: p={:.4f}, a={:.4f}, b={:.4f}, s={:.4f}, k={:.4f}, theta={:.4f}\".format(p,a,b,s,k,th))\n", " print(\" delta=a-k = {:.6f}\".format(max(a - k, 0.0)))\n", " print(\" (a/b)*s = {:.6f}\".format((a/b)*s if b > 0 else float('inf')))\n", " print(\" theta/theta_max = {:.3f}\".format(th / thcap if np.isfinite(thcap) and thcap>0 else float('nan')))\n", " print(\" avg NLL = {:.6f} Brier = {:.6f} AUC = {:.4f}\".format(avg_nll(theta, X, y), brier(theta, X, y), auc(y, px)))\n", " x50 = x_at_50(theta)\n", " print(\" x@50% ≈ {:.4f} slope@50% ≈ {:.5f}\".format(x50, slope_at_50(theta, x50)))\n", "\n", "# ===================== RUN FIT + PLOT =====================\n", "theta_hat, res = fit_bayes_mono(X, y)\n", "print(\"Optimization success:\", res.success, \" fval:\", float(res.fun))\n", "summarize_fit(\n", " theta_hat, X, y,\n", " label=f\"priors: p Beta({alpha:.2f},{beta:.2f}); r={prior_r}; b={prior_b}; s={prior_s}; delta={prior_delta}\"\n", ")\n", "\n", "# Plot decision curve + data\n", "x_lo = max(1e-6, float(X.min()) * 0.8)\n", "x_hi = min(10.0, float(X.max()) * 1.2)\n", "xg = np.linspace(x_lo, x_hi, 600)\n", "p_curve = P_with(theta_hat, xg)\n", "\n", "fig, ax = plt.subplots(figsize=(7.0, 4.6), dpi=140)\n", "ax.plot(xg, p_curve, color=\"#000000\", lw=2.2, label=\"P(AE|x) (MAP)\")\n", "\n", "rng_plot = np.random.default_rng(999)\n", "jit = (rng_plot.random(len(y)) - 0.5) * 0.06\n", "ax.scatter(X[y==0], (y + jit)[y==0], s=22, alpha=0.55, color=\"#2ca02c\", edgecolors='none', label='NC')\n", "ax.scatter(X[y==1], (y + jit)[y==1], s=26, alpha=0.75, color=\"#ff7f0e\", edgecolors='none', label='AE')\n", "\n", "ax.set_ylim(-0.05, 1.05)\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('P(AE | x)')\n", "\n", "title = 'Constrained Bayesian fit (prior on p'\n", "if prior_b is not None: title += f'; b prior={prior_b}'\n", "if prior_s is not None: title += f'; s prior={prior_s}'\n", "if prior_delta is not None: title += f'; delta prior={prior_delta}'\n", "if prior_r is not None: title += f'; r prior={prior_r}'\n", "title += ')'\n", "ax.set_title(title)\n", "\n", "ax.grid(alpha=0.3)\n", "ax.legend(loc='lower right', frameon=False)\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 29, "id": "8eaf868d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[data] Using MAT files (max SUV_94). N=58\n", "[AE fit] a=230, b=12.6, s=0.123 | mode≈2.07, expected tail slope≈-12.61\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, betainc # betainc = regularized incomplete beta\n", "import scipy.io as io\n", "\n", "# ---------------- Data (uses your 1-D arrays if present; else loads .mat) ----------------\n", "def load_data():\n", " try:\n", " X = np.asarray(suvs, float).ravel()\n", " y = np.asarray(labels, int).ravel()\n", " src = \"manual 1-D arrays (suvs, labels)\"\n", " except NameError:\n", " data_path = \"../data/\"\n", " suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", " flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3] # 0=NC, 1=AE\n", " X = np.nanmax(suv[:, :, 94], axis=1).astype(float).ravel()\n", " y = np.asarray(flags, int).ravel()\n", " src = \"MAT files (max SUV_94)\"\n", " X = np.clip(X, 1e-12, None)\n", " assert X.shape == y.shape\n", " print(f\"[data] Using {src}. N={len(X)}\")\n", " return X, y\n", "\n", "# ---------------- Beta-Prime distribution ----------------\n", "# pdf(x) = 1/(s * B(a,b)) * (x/s)^(a-1) * (1 + x/s)^-(a+b)\n", "def betaprime_logpdf(x, a, b, s):\n", " x = np.asarray(x, float); xs = x / s\n", " return -(np.log(s) + betaln(a, b)) + (a - 1) * np.log(np.clip(xs, 1e-300, None)) - (a + b) * np.log1p(xs)\n", "\n", "def betaprime_pdf(x, a, b, s):\n", " return np.exp(betaprime_logpdf(x, a, b, s))\n", "\n", "# Exact CDF via regularized incomplete beta: F(x) = I_{x/(s+x)}(a, b)\n", "def betaprime_cdf(x, a, b, s):\n", " z = (x / (s + x)).astype(float)\n", " return betainc(a, b, z)\n", "\n", "def betaprime_ccdf(x, a, b, s):\n", " return 1.0 - betaprime_cdf(x, a, b, s)\n", "\n", "# ---------------- Simple MLE for Beta-Prime ----------------\n", "def softplus(t):\n", " t = np.asarray(t, float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0.0)\n", "\n", "# Set B_MIN > 0 only if you want to forbid absurdly light tails. 0.0 = no bound.\n", "B_MIN = 0.0\n", "\n", "def fit_betaprime_mle(x):\n", " x = np.asarray(x, float)\n", " a0, b0, s0 = 2.0, 1.5, max(np.median(x), 0.3)\n", " def unpack(w):\n", " a = softplus(w[0]) + 1e-6\n", " b = (B_MIN + softplus(w[1])) if B_MIN > 0 else (softplus(w[1]) + 1e-6)\n", " s = softplus(w[2]) + 1e-6\n", " return a, b, s\n", " def nll(w):\n", " a, b, s = unpack(w)\n", " return -np.sum(betaprime_logpdf(x, a, b, s))\n", " w0 = np.log(np.expm1([a0, b0, s0]) + 1e-12)\n", " res = optimize.minimize(nll, w0, method=\"L-BFGS-B\",\n", " options={\"maxiter\": 8000, \"ftol\": 1e-9})\n", " return tuple(map(float, unpack(res.x)))\n", "\n", "# ---------------- Tail plot (correct CCDF) ----------------\n", "def plot_ae_tail_ccdf(X_ae, a=None, b=None, s=None, xmax=None, title_suffix=\"\"):\n", " X_ae = np.asarray(X_ae, float)\n", " n = len(X_ae)\n", " if n == 0:\n", " print(\"[warn] No AE samples.\")\n", " return\n", "\n", " # Fit if params not provided\n", " if any(v is None for v in (a, b, s)):\n", " a, b, s = fit_betaprime_mle(X_ae)\n", "\n", " # Empirical CCDF P(X >= x_i) using order stats\n", " xs = np.sort(X_ae)\n", " emp_ccdf = (n - np.arange(1, n + 1)) / n\n", " emp_ccdf = np.maximum(emp_ccdf, 1e-12)\n", "\n", " # Model CCDF on a dense grid (exact, no numeric spikes)\n", " lo = max(1e-6, xs[0] * 0.5)\n", " hi = float(xs[-1]) * 2.0 if xmax is None else float(xmax)\n", " xx = np.logspace(np.log10(lo), np.log10(hi), 1200)\n", " ccdf = betaprime_ccdf(xx, a, b, s)\n", "\n", " # Quick descriptors\n", " mode = s * (a - 1) / (b + 1) if a > 1 else 0.0\n", " print(f\"[AE fit] a={a:.3g}, b={b:.3g}, s={s:.3g} | mode≈{mode:.3g}, expected tail slope≈{-b:.2f}\")\n", "\n", " # Plot\n", " plt.figure(figsize=(6.6, 4.8), dpi=140)\n", " plt.loglog(xs, emp_ccdf, 'o', ms=4.5, alpha=0.75, label=\"empirical\")\n", " plt.loglog(xx, np.maximum(ccdf, 1e-12), lw=2.2, label=f\"model a={a:.2g}, b={b:.2g}, s={s:.2g}\")\n", " plt.title(f\"AE tail (CCDF){title_suffix}\")\n", " plt.xlabel(\"x\"); plt.ylabel(\"P(X ≥ x)\")\n", " plt.grid(alpha=0.3, which=\"both\"); plt.legend(frameon=False)\n", " plt.tight_layout(); plt.show()\n", "\n", "# ---------------- Run: build AE set, optional removal, plot ----------------\n", "X, y = load_data()\n", "X_AE = X[y == 1]\n", "\n", "# Optional: drop a specific AE value (e.g., ~2.48) and compare\n", "DROP_VALUE = False # set True to remove ~2.48 and replot\n", "VALUE = 2.48\n", "TOL = 1e-2\n", "\n", "# Full data plot\n", "aF, bF, sF = fit_betaprime_mle(X_AE)\n", "plot_ae_tail_ccdf(X_AE, a=aF, b=bF, s=sF, title_suffix=\" — full\")\n", "\n", "# Trimmed plot (if enabled)\n", "if DROP_VALUE:\n", " keep = (np.abs(X - VALUE) > TOL) | (y == 0) # only drop when label==AE\n", " X_AE_trim = X[keep & (y == 1)]\n", " aT, bT, sT = fit_betaprime_mle(X_AE_trim)\n", " plot_ae_tail_ccdf(X_AE_trim, a=aT, b=bT, s=sT, title_suffix=\" — trimmed (no ~2.48)\")\n" ] }, { "cell_type": "code", "execution_count": 28, "id": "fc8020d6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[data] Using MAT files (max SUV_94). N=58\n", "[drop] Removed indices: [53]\n", " Removed (x, y): [(2.4812259674072266, 0)]\n", "[sizes] full=58 trimmed=57\n", "\n", "NC ~ Gamma(k, θ)\n", " full: k=27.83, θ=0.04699\n", " trim: k=37.67, θ=0.03411\n", "\n", "AE ~ Beta-Prime(a, b, s)\n", " full: a=229.7, b=12.61, s=0.1231\n", " trim: a=229.7, b=12.61, s=0.1231\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import gammaln, betaln\n", "import scipy.io as io\n", "\n", "# ---------------- Data load (robust) ----------------\n", "# If you already defined `suvs` and `labels` (1-D arrays), we use them.\n", "# Otherwise we load the big .mat files and extract X,y from there.\n", "try:\n", " X_full = np.asarray(suvs, float).ravel()\n", " y_full = np.asarray(labels, int).ravel()\n", " source = \"manual 1-D arrays (suvs, labels)\"\n", "except NameError:\n", " data_path = \"../data/\"\n", " suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", " flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3] # 0=NC, 1=AE\n", " # Feature X = max SUV_94 per subject; label y = flags\n", " X_full = np.nanmax(suv[:, :, 94], axis=1).astype(float).ravel()\n", " y_full = np.asarray(flags, int).ravel()\n", " source = \"MAT files (max SUV_94)\"\n", "X_full = np.clip(X_full, 1e-12, None)\n", "assert X_full.shape == y_full.shape, \"X and y must have the same length\"\n", "print(f\"[data] Using {source}. N={len(X_full)}\")\n", "\n", "# ---------------- Drop target value + label ----------------\n", "VALUE_TO_DROP = 2.48 # target value\n", "TOL = 1e-2 # tolerance: matches 2.481... too\n", "DROP_FROM = \"any\" # \"any\" or \"ae_only\" (drop only if label==1)\n", "\n", "if DROP_FROM == \"ae_only\":\n", " drop_mask = (np.abs(X_full - VALUE_TO_DROP) <= TOL) & (y_full == 1)\n", "else:\n", " drop_mask = (np.abs(X_full - VALUE_TO_DROP) <= TOL)\n", "\n", "idx_removed = np.where(drop_mask)[0]\n", "mask_keep = ~drop_mask\n", "X_trim = X_full[mask_keep]\n", "y_trim = y_full[mask_keep]\n", "\n", "print(f\"[drop] Removed indices: {idx_removed.tolist()}\")\n", "if idx_removed.size:\n", " print(\" Removed (x, y):\", [(float(X_full[i]), int(y_full[i])) for i in idx_removed])\n", "print(f\"[sizes] full={len(X_full)} trimmed={len(X_trim)}\")\n", "\n", "# ---------------- Distributions + MLE fits ----------------\n", "def softplus(t):\n", " t = np.asarray(t, float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0.0)\n", "\n", "# Gamma(k, θ) for NC\n", "def gamma_logpdf(x, k, th):\n", " x = np.asarray(x, float)\n", " return (k - 1) * np.log(np.clip(x, 1e-300, None)) - x / th - k * np.log(th) - gammaln(k)\n", "def gamma_pdf(x, k, th): \n", " return np.exp(gamma_logpdf(x, k, th))\n", "def fit_gamma_mle(x):\n", " x = np.asarray(x, float)\n", " m, v = float(np.mean(x)), float(np.var(x))\n", " k0 = max((m*m) / (v + 1e-12), 1.1)\n", " th0 = v / max(m, 1e-12)\n", " def unpack(w): \n", " return softplus(w[0]) + 1e-6, softplus(w[1]) + 1e-6\n", " def nll(w):\n", " k, th = unpack(w)\n", " return -np.sum(gamma_logpdf(x, k, th))\n", " w0 = np.log(np.expm1([k0, th0]) + 1e-12)\n", " res = optimize.minimize(nll, w0, method=\"L-BFGS-B\", options={\"maxiter\": 5000, \"ftol\": 1e-9})\n", " return tuple(map(float, unpack(res.x)))\n", "\n", "# Beta-Prime(a, b, s) for AE\n", "# pdf(x)=1/(s B(a,b)) * (x/s)^(a-1) * (1 + x/s)^-(a+b)\n", "def betaprime_logpdf(x, a, b, s):\n", " x = np.asarray(x, float); xs = x / s\n", " return -(np.log(s) + betaln(a, b)) + (a - 1) * np.log(np.clip(xs, 1e-300, None)) - (a + b) * np.log1p(xs)\n", "def betaprime_pdf(x, a, b, s): \n", " return np.exp(betaprime_logpdf(x, a, b, s))\n", "def fit_betaprime_mle(x):\n", " x = np.asarray(x, float)\n", " a0, b0, s0 = 2.0, 1.5, max(np.median(x), 0.3)\n", " def unpack(w): \n", " return softplus(w[0]) + 1e-6, softplus(w[1]) + 1e-6, softplus(w[2]) + 1e-6\n", " def nll(w):\n", " a, b, s = unpack(w)\n", " return -np.sum(betaprime_logpdf(x, a, b, s))\n", " w0 = np.log(np.expm1([a0, b0, s0]) + 1e-12)\n", " res = optimize.minimize(nll, w0, method=\"L-BFGS-B\", options={\"maxiter\": 8000, \"ftol\": 1e-9})\n", " return tuple(map(float, unpack(res.x)))\n", "\n", "def split_groups(X, y):\n", " return X[y == 0], X[y == 1]\n", "\n", "def fit_both(X, y):\n", " X_nc, X_ae = split_groups(X, y)\n", " k, th = fit_gamma_mle(X_nc) if X_nc.size else (np.nan, np.nan)\n", " a, b, s = fit_betaprime_mle(X_ae) if X_ae.size else (np.nan, np.nan, np.nan)\n", " return (k, th), (a, b, s), X_nc, X_ae\n", "\n", "(g_full, ae_full, Xnc_full, Xae_full) = fit_both(X_full, y_full)\n", "(g_trim, ae_trim, Xnc_trim, Xae_trim) = fit_both(X_trim, y_trim)\n", "\n", "print(\"\\nNC ~ Gamma(k, θ)\")\n", "print(\" full: k={:.4g}, θ={:.4g}\".format(*g_full))\n", "print(\" trim: k={:.4g}, θ={:.4g}\".format(*g_trim))\n", "\n", "print(\"\\nAE ~ Beta-Prime(a, b, s)\")\n", "print(\" full: a={:.4g}, b={:.4g}, s={:.4g}\".format(*ae_full))\n", "print(\" trim: a={:.4g}, b={:.4g}, s={:.4g}\".format(*ae_trim))\n", "\n", "# ---------------- Side-by-side plots ----------------\n", "def compare_nc():\n", " if not Xnc_full.size: \n", " return\n", " kF, thF = g_full; kT, thT = g_trim\n", " x_lo = max(1e-6, min(Xnc_full.min(), Xnc_trim.min(initial=np.inf)) * 0.6)\n", " x_hi = max(Xnc_full.max(initial=1.0), Xnc_trim.max(initial=1.0)) * 1.4\n", " xg = np.linspace(x_lo, x_hi, 800)\n", " fig, ax = plt.subplots(1, 2, figsize=(11, 4.2), dpi=140)\n", " for j, logy in enumerate([False, True]):\n", " ax[j].hist(Xnc_full, bins=20, density=True, alpha=0.25, color=\"#808080\", edgecolor=\"none\", label=\"empirical (full)\")\n", " ax[j].plot(xg, gamma_pdf(xg, kF, thF), lw=2, label=\"full fit\")\n", " ax[j].plot(xg, gamma_pdf(xg, kT, thT), lw=2, ls=\"--\", label=\"trimmed fit\")\n", " if logy: ax[j].set_yscale(\"log\")\n", " ax[j].set_title(\"NC: Gamma ({})\".format(\"log y\" if logy else \"linear y\"))\n", " ax[j].set_xlabel(\"x\"); ax[j].set_ylabel(\"pdf(x)\")\n", " ax[j].grid(alpha=0.3); ax[j].legend(frameon=False)\n", " plt.tight_layout(); plt.show()\n", "\n", "def compare_ae():\n", " if not Xae_full.size: \n", " return\n", " aF, bF, sF = ae_full; aT, bT, sT = ae_trim\n", " x_lo = max(1e-6, min(Xae_full.min(), Xae_trim.min(initial=np.inf)) * 0.6)\n", " x_hi = max(Xae_full.max(initial=1.0), Xae_trim.max(initial=1.0)) * 1.8\n", " xg = np.linspace(x_lo, x_hi, 800)\n", " fig, ax = plt.subplots(1, 2, figsize=(11, 4.2), dpi=140)\n", " for j, logy in enumerate([False, True]):\n", " ax[j].hist(Xae_full, bins=15, density=True, alpha=0.25, color=\"#808080\", edgecolor=\"none\", label=\"empirical (full)\")\n", " ax[j].plot(xg, betaprime_pdf(xg, aF, bF, sF), lw=2, label=\"full fit\")\n", " ax[j].plot(xg, betaprime_pdf(xg, aT, bT, sT), lw=2, ls=\"--\", label=\"trimmed fit\")\n", " if logy: ax[j].set_yscale(\"log\")\n", " ax[j].set_title(\"AE: Beta-Prime ({})\".format(\"log y\" if logy else \"linear y\"))\n", " ax[j].set_xlabel(\"x\"); ax[j].set_ylabel(\"pdf(x)\")\n", " ax[j].grid(alpha=0.3); ax[j].legend(frameon=False)\n", " plt.tight_layout(); plt.show()\n", "\n", "compare_nc()\n", "compare_ae()\n" ] }, { "cell_type": "code", "execution_count": 63, "id": "432f96b6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import seaborn as sns\n", "from scipy import stats\n", "import scipy.io as io\n", "\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3]\n", "\n", "\n", "# Define distributions and colors\n", "distributions = [stats.norm, stats.gamma, stats.weibull_min, stats.expon, stats.lognorm]\n", "colors = ['blue', 'green', 'orange', 'purple', 'brown']\n", "x = np.linspace(min(X) * 0.9, max(X) * 1.1, 1000)\n", "plt.figure(figsize=(12, 6))\n", "\n", "# Histograms\n", "plt.hist(X_NC, bins=15, density=True, alpha=0.3, label='NC Histogram', color='gray')\n", "plt.hist(X_AE, bins=10, density=True, alpha=0.3, label='AE Histogram', color='red')\n", "\n", "#KDE plots\n", "sns.kdeplot(X_NC, bw_adjust=1, label='NC KDE', linestyle='--', color='gray')\n", "sns.kdeplot(X_AE, bw_adjust=1, label='AE KDE', linestyle='--', color='red')\n", "\n", "#PDFs for each distribution\n", "for dist, color in zip(distributions, colors):\n", " try:\n", " # Fit NC\n", " if dist == stats.lognorm:\n", " params_nc = dist.fit(X_NC, floc=0)\n", " else:\n", " params_nc = dist.fit(X_NC)\n", " pdf_nc = dist.pdf(x, *params_nc)\n", " plt.plot(x, pdf_nc, linestyle='--', color=color, label=f'{dist.name} - NC')\n", "\n", " # Fit AE\n", " if dist == stats.lognorm:\n", " params_ae = dist.fit(X_AE, floc=0)\n", " else:\n", " params_ae = dist.fit(X_AE)\n", " pdf_ae = dist.pdf(x, *params_ae)\n", " plt.plot(x, pdf_ae, linestyle='-', color=color, label=f'{dist.name} - AE')\n", "\n", " except Exception as e:\n", " print(f\"Could not fit {dist.name}: {e}\")\n", "\n", "# Plots\n", "plt.title(\"SUV Distribution Fit: NC vs AE\")\n", "plt.xlabel(\"SUV\")\n", "plt.ylabel(\"Density\")\n", "plt.legend(loc='upper right', fontsize='small', ncol=2)\n", "plt.grid(True)\n", "plt.tight_layout()\n", "plt.ylim(0, 2) \n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 64, "id": "3e4b140f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Distribution AIC_NC KS_stat_NC KS_pval_NC AIC_AE KS_stat_AE KS_pval_AE\n", " lognorm 6.115214 0.113558 0.467412 16.778777 0.355212 0.450713\n", " gamma 6.759872 0.116525 0.435001 -5.441715 0.453710 0.186798\n", " norm 10.986404 0.126820 0.332946 16.806074 0.399722 0.309531\n", " expon 43.651493 0.312059 0.000044 11.471232 0.288355 0.709413\n", " weibull_min inf 0.120981 0.388759 -16.479226 0.383765 0.354965\n" ] } ], "source": [ "import pandas as pd\n", "\n", "def compute_aic(log_likelihood, num_params):\n", " return 2 * num_params - 2 * log_likelihood\n", "\n", "distributions = [stats.norm, stats.gamma, stats.weibull_min, stats.expon, stats.lognorm]\n", "results = []\n", "\n", "for dist in distributions:\n", " try:\n", " # NC group\n", " if dist == stats.lognorm:\n", " params_nc = dist.fit(X_NC, floc=0)\n", " else:\n", " params_nc = dist.fit(X_NC)\n", "\n", " loglik_nc = np.sum(dist.logpdf(X_NC, *params_nc))\n", " aic_nc = compute_aic(loglik_nc, len(params_nc))\n", " ks_stat_nc, ks_pval_nc = stats.kstest(X_NC, dist.name, args=params_nc)\n", "\n", " # AE group\n", " if dist == stats.lognorm:\n", " params_ae = dist.fit(X_AE, floc=0)\n", " else:\n", " params_ae = dist.fit(X_AE)\n", "\n", " loglik_ae = np.sum(dist.logpdf(X_AE, *params_ae))\n", " aic_ae = compute_aic(loglik_ae, len(params_ae))\n", " ks_stat_ae, ks_pval_ae = stats.kstest(X_AE, dist.name, args=params_ae)\n", "\n", " results.append({\n", " 'Distribution': dist.name,\n", " 'AIC_NC': aic_nc,\n", " 'KS_stat_NC': ks_stat_nc,\n", " 'KS_pval_NC': ks_pval_nc,\n", " 'AIC_AE': aic_ae,\n", " 'KS_stat_AE': ks_stat_ae,\n", " 'KS_pval_AE': ks_pval_ae\n", " })\n", "\n", " except Exception as e:\n", " print(f\"Could not fit {dist.name}: {e}\")\n", "\n", "# Show results in sorted table\n", "results_df = pd.DataFrame(results)\n", "results_df.sort_values(by=['AIC_NC', 'AIC_AE'], inplace=True)\n", "print(results_df.to_string(index=False))\n" ] }, { "cell_type": "markdown", "id": "4a9b4010", "metadata": {}, "source": [] }, { "cell_type": "markdown", "id": "21ea341b", "metadata": {}, "source": [ "viewing Data" ] }, { "cell_type": "markdown", "id": "cc94ecc3", "metadata": {}, "source": [ "Trying All combined Distributions to see Predict Value in Excel " ] }, { "cell_type": "code", "execution_count": null, "id": "6a0443f5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Results saved to 'bayes_ae_predictions_v2.xlsx'\n" ] } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "from scipy.stats import weibull_min, gamma, expon, lognorm, norm\n", "\n", "# Prepare your data\n", "X_AE = X[y == 1].flatten()\n", "X_NC = X[y == 0].flatten()\n", "\n", "# Define distributions\n", "dists = {\n", " \"weibull_min\": weibull_min,\n", " \"gamma\": gamma,\n", " \"expon\": expon,\n", " \"lognorm\": lognorm,\n", " \"norm\": norm\n", "}\n", "\n", "# Fit distributions\n", "fit_params_ae = {name: dist.fit(X_AE) for name, dist in dists.items()}\n", "fit_params_nc = {name: dist.fit(X_NC) for name, dist in dists.items()}\n", "\n", "# Priors\n", "P_ae = len(X_AE) / len(X)\n", "P_nc = len(X_NC) / len(X)\n", "\n", "# SUV range\n", "suv_values = np.arange(0, 6.01, 0.01)\n", "\n", "# Prediction function with epsilon smoothing\n", "def predict_ae_probability_multi_eps(suv, dist_ae_name, dist_nc_name, epsilon=1e-8):\n", " dist_ae = dists[dist_ae_name]\n", " dist_nc = dists[dist_nc_name]\n", " params_ae = fit_params_ae[dist_ae_name]\n", " params_nc = fit_params_nc[dist_nc_name]\n", " \n", " p_ae = dist_ae.pdf(suv, *params_ae)\n", " p_nc = dist_nc.pdf(suv, *params_nc)\n", " \n", " numerator = p_ae * P_ae + epsilon\n", " denominator = numerator + p_nc * P_nc + epsilon\n", " \n", " return numerator / denominator\n", "\n", "# Compute results\n", "results = {\"SUV\": suv_values}\n", "for dist_ae_name in dists.keys():\n", " for dist_nc_name in dists.keys():\n", " key = f\"AE:{dist_ae_name}_NC:{dist_nc_name}\"\n", " results[key] = [predict_ae_probability_multi_eps(suv, dist_ae_name, dist_nc_name) for suv in suv_values]\n", "\n", "# Save to Excel\n", "df = pd.DataFrame(results)\n", "df.to_excel(\"bayes_ae_predictions_v2.xlsx\", index=False)\n", "print(\"Results saved to 'bayes_ae_predictions_v2.xlsx'\")\n", "\n" ] }, { "cell_type": "markdown", "id": "37bff5ea", "metadata": {}, "source": [ "gamma without truncation" ] }, { "cell_type": "markdown", "id": "16b386ae", "metadata": {}, "source": [ "NEW FAMILY DISTRIBUTION" ] }, { "cell_type": "code", "execution_count": null, "id": "bdf4e2d2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "=== Model Fit Comparison ===\n", " Model Group Distribution AIC KS Stat KS p-value\n", "0 Gamma–Gamma NC Gamma 7.277630 0.115917 0.441541\n", "1 Gamma–Gamma AE Gamma 17.371333 0.372710 0.390093\n", "2 Gamma–Lognorm NC Gamma 7.277630 0.115917 0.441541\n", "3 Gamma–Lognorm AE Lognorm 16.778777 0.355212 0.450713\n", "4 Lognorm–Gamma NC Lognorm 6.115214 0.113558 0.467412\n", "5 Lognorm–Gamma AE Gamma 17.371333 0.372710 0.390093\n", "6 BetaPrime–BetaPrime NC BetaPrime 7.893717 0.112910 0.474644\n", "7 BetaPrime–BetaPrime AE BetaPrime 18.292296 0.336874 0.519209\n", "8 Gamma–BetaPrime NC Gamma 7.277630 0.115917 0.441541\n", "9 Gamma–BetaPrime AE BetaPrime 18.292296 0.336874 0.519209\n", "10 Lognorm–BetaPrime NC Lognorm 6.115214 0.113558 0.467412\n", "11 Lognorm–BetaPrime AE BetaPrime 18.292296 0.336874 0.519209\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import stats\n", "import scipy.io as io\n", "\n", "# === Load data ===\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3]\n", "\n", "X = np.nanmax(suv[:, :, 94], axis=1).reshape(-1)\n", "X_NC = X[flags == 0]\n", "X_AE = X[flags == 1]\n", "\n", "# === Extend ks_test_with_plot ===\n", "def ks_test_with_plot(data, dist_name, label, color, ax):\n", " if dist_name == 'gamma':\n", " params = stats.gamma.fit(data, floc=0)\n", " dist = stats.gamma(*params)\n", " name = f\"Gamma (a={params[0]:.2f})\"\n", " elif dist_name == 'lognorm':\n", " params = stats.lognorm.fit(data, floc=0)\n", " dist = stats.lognorm(*params)\n", " name = f\"Lognorm (s={params[0]:.2f})\"\n", " elif dist_name == 'betaprime':\n", " params = stats.betaprime.fit(data, floc=0)\n", " dist = stats.betaprime(*params)\n", " name = f\"BetaPrime (a={params[0]:.2f}, b={params[1]:.2f})\"\n", " else:\n", " raise ValueError(\"Unsupported distribution\")\n", "\n", " # Empirical CDF\n", " x_sorted = np.sort(data)\n", " ecdf = np.arange(1, len(data) + 1) / len(data)\n", "\n", " # Theoretical CDF\n", " x_vals = np.linspace(min(data), max(data), 500)\n", " cdf_theoretical = dist.cdf(x_vals)\n", " cdf_at_data = dist.cdf(x_sorted)\n", " ks_stat = np.max(np.abs(ecdf - cdf_at_data))\n", " max_idx = np.argmax(np.abs(ecdf - cdf_at_data))\n", "\n", " # Plot\n", " ax.step(x_sorted, ecdf, where='post', label=\"Empirical CDF\", color='black')\n", " ax.plot(x_vals, cdf_theoretical, label=f\"{name} CDF\", color=color)\n", " ax.vlines(x_sorted[max_idx], ecdf[max_idx], cdf_at_data[max_idx],\n", " color=\"red\", linestyle=\"--\", label=f\"KS = {ks_stat:.3f}\")\n", " ax.set_title(f\"{label}: {dist_name.capitalize()} Fit\")\n", " ax.set_xlabel(\"SUV\")\n", " ax.set_ylabel(\"CDF\")\n", " ax.legend()\n", " ax.grid(True)\n", "\n", " return ks_stat\n", "\n", "# === Store KS results ===\n", "ks_results = {}\n", "\n", "# === Model 1: Gamma–Gamma ===\n", "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n", "ks_results['GG_NC'] = ks_test_with_plot(X_NC, 'gamma', 'NC Group', 'green', axes[0])\n", "ks_results['GG_AE'] = ks_test_with_plot(X_AE, 'gamma', 'AE Group', 'green', axes[1])\n", "plt.suptitle(\"Model: Gamma–Gamma\", fontsize=14)\n", "plt.tight_layout(rect=[0, 0, 1, 0.95])\n", "plt.show()\n", "\n", "# === Model 2: Gamma–Lognorm ===\n", "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n", "ks_results['GL_NC'] = ks_test_with_plot(X_NC, 'gamma', 'NC Group', 'green', axes[0])\n", "ks_results['GL_AE'] = ks_test_with_plot(X_AE, 'lognorm', 'AE Group', 'blue', axes[1])\n", "plt.suptitle(\"Model: Gamma–Lognorm\", fontsize=14)\n", "plt.tight_layout(rect=[0, 0, 1, 0.95])\n", "plt.show()\n", "\n", "# === Model 3: Lognorm–Gamma ===\n", "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n", "ks_results['LG_NC'] = ks_test_with_plot(X_NC, 'lognorm', 'NC Group', 'blue', axes[0])\n", "ks_results['LG_AE'] = ks_test_with_plot(X_AE, 'gamma', 'AE Group', 'green', axes[1])\n", "plt.suptitle(\"Model: Lognorm–Gamma\", fontsize=14)\n", "plt.tight_layout(rect=[0, 0, 1, 0.95])\n", "plt.show()\n", "\n", "# === Model 4: BetaPrime–BetaPrime ===\n", "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n", "ks_results['BB_NC'] = ks_test_with_plot(X_NC, 'betaprime', 'NC Group', 'purple', axes[0])\n", "ks_results['BB_AE'] = ks_test_with_plot(X_AE, 'betaprime', 'AE Group', 'purple', axes[1])\n", "plt.suptitle(\"Model: BetaPrime–BetaPrime\", fontsize=14)\n", "plt.tight_layout(rect=[0, 0, 1, 0.95])\n", "plt.show()\n", "\n", "# === Model 5: Gamma–BetaPrime ===\n", "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n", "ks_results['GB_NC'] = ks_test_with_plot(X_NC, 'gamma', 'NC Group', 'green', axes[0])\n", "ks_results['GB_AE'] = ks_test_with_plot(X_AE, 'betaprime', 'AE Group', 'purple', axes[1])\n", "plt.suptitle(\"Model: Gamma–BetaPrime\", fontsize=14)\n", "plt.tight_layout(rect=[0, 0, 1, 0.95])\n", "plt.show()\n", "\n", "\n", "\n", "def get_fit_stats(data, dist_name):\n", " if dist_name == 'gamma':\n", " params = stats.gamma.fit(data, floc=0)\n", " dist = stats.gamma(*params)\n", " elif dist_name == 'lognorm':\n", " params = stats.lognorm.fit(data, floc=0)\n", " dist = stats.lognorm(*params)\n", " elif dist_name == 'betaprime':\n", " params = stats.betaprime.fit(data, floc=0)\n", " dist = stats.betaprime(*params)\n", " else:\n", " raise ValueError(\"Unsupported distribution\")\n", "\n", " log_likelihood = np.sum(dist.logpdf(data))\n", " k = len(params)\n", " aic = 2 * k - 2 * log_likelihood\n", " ks = stats.kstest(data, dist.cdf)\n", "\n", " return aic, ks\n", "\n", "\n", "# Gamma–Gamma\n", "aic_gamma_nc, ks_gamma_nc = get_fit_stats(X_NC, 'gamma')\n", "aic_gamma_ae, ks_gamma_ae = get_fit_stats(X_AE, 'gamma')\n", "\n", "# Gamma–Lognorm\n", "aic_lognorm_ae, ks_lognorm_ae = get_fit_stats(X_AE, 'lognorm')\n", "\n", "# Lognorm–Gamma\n", "aic_lognorm_nc, ks_lognorm_nc = get_fit_stats(X_NC, 'lognorm')\n", "\n", "# BetaPrime–BetaPrime\n", "aic_betaprime_nc, ks_betaprime_nc = get_fit_stats(X_NC, 'betaprime')\n", "aic_betaprime_ae, ks_betaprime_ae = get_fit_stats(X_AE, 'betaprime')\n", "\n", "# Gamma–BetaPrime (reuse gamma from above for NC)\n", "# Already done: aic_gamma_nc, ks_gamma_nc\n", "# Already done: aic_betaprime_ae, ks_betaprime_ae\n", "import pandas as pd\n", "\n", "results = pd.DataFrame({\n", " 'Model': [\n", " 'Gamma–Gamma', 'Gamma–Gamma',\n", " 'Gamma–Lognorm', 'Gamma–Lognorm',\n", " 'Lognorm–Gamma', 'Lognorm–Gamma',\n", " 'BetaPrime–BetaPrime', 'BetaPrime–BetaPrime',\n", " 'Gamma–BetaPrime', 'Gamma–BetaPrime',\n", " ],\n", " 'Group': [\n", " 'NC', 'AE',\n", " 'NC', 'AE',\n", " 'NC', 'AE',\n", " 'NC', 'AE',\n", " 'NC', 'AE'\n", " ],\n", " 'Distribution': [\n", " 'Gamma', 'Gamma',\n", " 'Gamma', 'Lognorm',\n", " 'Lognorm', 'Gamma',\n", " 'BetaPrime', 'BetaPrime',\n", " 'Gamma', 'BetaPrime'\n", " ],\n", " 'AIC': [\n", " aic_gamma_nc, aic_gamma_ae,\n", " aic_gamma_nc, aic_lognorm_ae,\n", " aic_lognorm_nc, aic_gamma_ae,\n", " aic_betaprime_nc, aic_betaprime_ae,\n", " aic_gamma_nc, aic_betaprime_ae\n", " ],\n", " 'KS Stat': [\n", " ks_gamma_nc.statistic, ks_gamma_ae.statistic,\n", " ks_gamma_nc.statistic, ks_lognorm_ae.statistic,\n", " ks_lognorm_nc.statistic, ks_gamma_ae.statistic,\n", " ks_betaprime_nc.statistic, ks_betaprime_ae.statistic,\n", " ks_gamma_nc.statistic, ks_betaprime_ae.statistic\n", " ],\n", " 'KS p-value': [\n", " ks_gamma_nc.pvalue, ks_gamma_ae.pvalue,\n", " ks_gamma_nc.pvalue, ks_lognorm_ae.pvalue,\n", " ks_lognorm_nc.pvalue, ks_gamma_ae.pvalue,\n", " ks_betaprime_nc.pvalue, ks_betaprime_ae.pvalue,\n", " ks_gamma_nc.pvalue, ks_betaprime_ae.pvalue\n", " ]\n", "})\n", "\n", "\n", "# === Model 6: Lognorm–BetaPrime ===\n", "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n", "ks_results['LB_NC'] = ks_test_with_plot(X_NC, 'lognorm', 'NC Group', 'blue', axes[0])\n", "ks_results['LB_AE'] = ks_test_with_plot(X_AE, 'betaprime', 'AE Group', 'purple', axes[1])\n", "plt.suptitle(\"Model: Lognorm–BetaPrime\", fontsize=14)\n", "plt.tight_layout(rect=[0, 0, 1, 0.95])\n", "plt.show()\n", "\n", "# Lognorm–BetaPrime AICs\n", "aic_lognorm_nc, ks_lognorm_nc = get_fit_stats(X_NC, 'lognorm') # Already computed earlier, safe to recompute\n", "# betaprime AE: already computed -> aic_betaprime_ae, ks_betaprime_ae\n", "\n", "# === Add Lognorm–BetaPrime to DataFrame ===\n", "results = pd.concat([results, pd.DataFrame({\n", " 'Model': ['Lognorm–BetaPrime', 'Lognorm–BetaPrime'],\n", " 'Group': ['NC', 'AE'],\n", " 'Distribution': ['Lognorm', 'BetaPrime'],\n", " 'AIC': [aic_lognorm_nc, aic_betaprime_ae],\n", " 'KS Stat': [ks_lognorm_nc.statistic, ks_betaprime_ae.statistic],\n", " 'KS p-value': [ks_lognorm_nc.pvalue, ks_betaprime_ae.pvalue]\n", "})], ignore_index=True)\n", "\n", "# === Print Final Results ===\n", "print(\"=== Model Fit Comparison ===\")\n", "print(results)\n", "\n", "\n" ] }, { "cell_type": "markdown", "id": "ef3de6f4", "metadata": {}, "source": [ "GAMMA-GAMMA" ] }, { "cell_type": "code", "execution_count": null, "id": "84c2da23", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "--- Goodness of Fit: Gamma ---\n", "Parameters: (9.848652706087616, 0, 0.24888677764752704)\n", "KS Statistic: 0.3727, p-value: 0.3901\n", "Log-Likelihood: -5.69\n", "AIC: 17.37, BIC: 16.20\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.io import loadmat\n", "from scipy.stats import gamma\n", "\n", "data_path = \"../data/\"\n", "suv_file = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_file = data_path + \"flags_combined.mat\"\n", "suv_dict = loadmat(suv_file)\n", "flags_dict = loadmat(flags_file)\n", "\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = flags_dict['flags'][0:58, 3]\n", "\n", "p = 94\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1)\n", "y = flags.flatten().astype(int)\n", "\n", "X_ae = X[y == 1]\n", "X_normal = X[y == 0]\n", "\n", "\n", "#ae_gamma_params = gamma.fit(X_ae)\n", "#nc_gamma_params = gamma.fit(X_normal)\n", "ae_gamma_params = gamma.fit(X_ae, floc=0)\n", "nc_gamma_params = gamma.fit(X_normal, floc=0)\n", "\n", "p_ae = len(X_ae) / (len(X_ae) + len(X_normal))\n", "p_nc = 1 - p_ae\n", "\n", "suv_range = np.linspace(min(min(X_ae), min(X_normal)),\n", " max(max(X_ae), max(X_normal)), 300)\n", "\n", "pdf_ae = gamma.pdf(suv_range, *ae_gamma_params)\n", "pdf_nc = gamma.pdf(suv_range, *nc_gamma_params)\n", "\n", "p_suv = pdf_ae * p_ae + pdf_nc * p_nc\n", "posterior_ae = (pdf_ae * p_ae) / p_suv\n", "\n", "plt.figure(figsize=(9, 6))\n", "plt.plot(suv_range, posterior_ae, label=r'$P(\\mathrm{AE} \\mid \\mathrm{SUV})$', color='crimson', linewidth=2)\n", "\n", "plt.scatter(X_normal, np.zeros_like(X_normal), color='blue', alpha=0.5, label='NC Patients (y=0)')\n", "plt.scatter(X_ae, np.ones_like(X_ae), color='green', alpha=0.7, label='AE Patients (y=1)')\n", "\n", "plt.title(\"Posterior Probability of Adverse Effect vs SUV (Gamma-Gamma Model)\")\n", "plt.xlabel(\"SUV (94th percentile)\")\n", "plt.ylabel(\"P(AE | SUV)\")\n", "plt.ylim(-0.1, 1.1)\n", "plt.grid(True)\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import gamma, lognorm, kstest, anderson, probplot\n", "import scipy.stats as stats\n", "\n", "def goodness_of_fit_analysis(data, dist_name='gamma', ax_prefix=''):\n", " data = np.array(data)\n", " n = len(data)\n", "\n", " if dist_name == 'gamma':\n", " params = gamma.fit(data, floc=0)\n", " dist = gamma(*params)\n", " name = \"Gamma\"\n", " elif dist_name == 'lognorm':\n", " params = lognorm.fit(data, floc=0)\n", " dist = lognorm(*params)\n", " name = \"Lognormal\"\n", " else:\n", " raise ValueError(\"Unsupported distribution\")\n", "\n", " # KS Test\n", " ks_stat, ks_p = kstest(data, dist_name, args=params)\n", "\n", " # Anderson-Darling Test\n", " ad_result = anderson(data, dist_name) if dist_name == 'norm' else None\n", "\n", " # Log-likelihood\n", " log_likelihood = np.sum(dist.logpdf(data))\n", "\n", " # AIC and BIC\n", " k = len(params) # number of parameters\n", " aic = 2 * k - 2 * log_likelihood\n", " bic = k * np.log(n) - 2 * log_likelihood\n", "\n", " # === Output Summary ===\n", " print(f\"\\n--- Goodness of Fit: {name} ---\")\n", " print(f\"Parameters: {params}\")\n", " print(f\"KS Statistic: {ks_stat:.4f}, p-value: {ks_p:.4f}\")\n", " if ad_result:\n", " print(f\"AD Statistic: {ad_result.statistic:.4f}\")\n", " print(f\"Log-Likelihood: {log_likelihood:.2f}\")\n", " print(f\"AIC: {aic:.2f}, BIC: {bic:.2f}\")\n", "\n", " # === Plots ===\n", " x = np.linspace(min(data), max(data), 300)\n", " pdf = dist.pdf(x)\n", "\n", " # Histogram + PDF\n", " plt.figure(figsize=(14, 4))\n", "\n", " plt.subplot(1, 3, 1)\n", " plt.hist(data, bins=15, density=True, alpha=0.6, color='gray', label='Empirical')\n", " plt.plot(x, pdf, 'r-', label=f'{name} PDF')\n", " plt.title(f\"{name}: Histogram + PDF\")\n", " plt.legend()\n", "\n", " # Q–Q Plot\n", " plt.subplot(1, 3, 2)\n", " probplot(data, dist=dist_name, sparams=params[:-2], plot=plt)\n", " plt.title(f\"{name}: Q–Q Plot\")\n", "\n", " # Empirical CDF vs Theoretical CDF\n", " plt.subplot(1, 3, 3)\n", " sorted_data = np.sort(data)\n", " ecdf = np.arange(1, n+1) / n\n", " cdf = dist.cdf(sorted_data)\n", " plt.plot(sorted_data, ecdf, label='Empirical CDF', marker='.', linestyle='none')\n", " plt.plot(sorted_data, cdf, label=f'{name} CDF', linestyle='--')\n", " plt.legend()\n", " plt.title(f\"{name}: Empirical vs Theoretical CDF\")\n", "\n", " plt.tight_layout()\n", " plt.show()\n", "\n", " \n", "goodness_of_fit_analysis(X_ae, dist_name='gamma')\n", "\n", "\n" ] }, { "cell_type": "markdown", "id": "fcd17404", "metadata": {}, "source": [ "GAMMA-LOGNORM" ] }, { "cell_type": "code", "execution_count": null, "id": "9a6457e2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "--- Goodness of Fit: Lognormal ---\n", "Parameters: (0.30543701106463617, 0, 2.3278633838026415)\n", "KS Statistic: 0.3552, p-value: 0.4507\n", "Log-Likelihood: -5.39\n", "AIC: 16.78, BIC: 15.61\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "--- Goodness of Fit: Gamma ---\n", "Parameters: (27.82680991544221, 0, 0.04699103636333495)\n", "KS Statistic: 0.1159, p-value: 0.4415\n", "Log-Likelihood: -0.64\n", "AIC: 7.28, BIC: 13.19\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.io import loadmat\n", "from scipy.stats import gamma, lognorm\n", "\n", "# === Load Data ===\n", "data_path = \"../data/\"\n", "suv = loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3]\n", "\n", "p = 94\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1)\n", "y = flags.flatten().astype(int)\n", "\n", "X_ae = X[y == 1]\n", "X_nc = X[y == 0]\n", "\n", "# === Fit Models ===\n", "nc_gamma_params = gamma.fit(X_nc, floc=0)\n", "ae_lognorm_params = lognorm.fit(X_ae, floc=0)\n", "\n", "# === Priors ===\n", "p_ae = len(X_ae) / len(X)\n", "p_nc = 1 - p_ae\n", "\n", "# === Range for plotting ===\n", "suv_range = np.linspace(min(min(X_ae), min(X_nc)), max(max(X_ae), max(X_nc)), 300)\n", "\n", "# === PDFs ===\n", "pdf_nc = gamma.pdf(suv_range, *nc_gamma_params)\n", "pdf_ae = lognorm.pdf(suv_range, *ae_lognorm_params)\n", "\n", "# === Posterior Computation ===\n", "p_suv = pdf_ae * p_ae + pdf_nc * p_nc\n", "posterior_ae = (pdf_ae * p_ae) / p_suv\n", "\n", "# === Plot Posterior ===\n", "plt.figure(figsize=(9, 6))\n", "plt.plot(suv_range, posterior_ae, label=r'$P(\\mathrm{AE} \\mid \\mathrm{SUV})$', color='crimson', linewidth=2)\n", "\n", "plt.scatter(X_nc, np.zeros_like(X_nc), color='blue', alpha=0.5, label='NC Patients (y=0)')\n", "plt.scatter(X_ae, np.ones_like(X_ae), color='green', alpha=0.7, label='AE Patients (y=1)')\n", "\n", "plt.title(\"Posterior Probability of Adverse Effect vs SUV (Gamma–Lognormal Model)\")\n", "plt.xlabel(\"SUV (94th percentile)\")\n", "plt.ylabel(\"P(AE | SUV)\")\n", "plt.ylim(-0.1, 1.1)\n", "plt.grid(True)\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "\n", "\n", "\n", "\n", "goodness_of_fit_analysis(X_ae, dist_name='lognorm')\n", "goodness_of_fit_analysis(X_nc, dist_name='gamma')\n", "\n" ] }, { "cell_type": "markdown", "id": "371de0f8", "metadata": {}, "source": [ "GAMMA=BETAPRIME" ] }, { "cell_type": "code", "execution_count": null, "id": "f44977eb", "metadata": {}, "outputs": [ { "data": { "image/png": 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1fP78+TzHDkBMmjTJquzBgwdCqVSKFi1aCCHy/nn6rOc+KipKlC9fXvj5+Ylly5aJ3bt3i7lz5wqdTidGjBjxxPPdpk0bUbNmTREXFyccHR2tXrtNmzYVw4YNExEREVneO/ft2yc0Go1o2LChCAsLE5s3bxaBgYFCoVBYvUeeP39eODg4SJ+LW7ZsEUFBQaJChQoCgNXf8IcffigUCoUYOXKk2LZtm9i4caNo3ry5cHR0lNor82vkcb/99psAILZu3frE501FH5M8KnIyvjQeO3ZMGI1GER8fL7Zt2yY8PT2Fs7OziI6Olr6sz58/32rbsLAwKREUQogff/xRABBnzpzJ8Xj37t2z+iKcWVBQkChXrpx49OiRVfnkyZOFXq8XDx48EEL896HUunXrLPt4/EPJbDaLMmXKiNq1awuz2SzVi4+PF15eXtIHnRD/vRHPnDkz95P22LHCwsKE0WgUSUlJ4sCBA6JKlSpCpVKJs2fP5rpfW8+rEOlfihQKRZZz26lTJ+Hi4iISExOzjdFkMgmj0ShGjRol6tevb7UOgDAYDFZfok0mk6hevbqoUqVKlueZlyRPiNzbOuN1d/r0aans+PHjAkCWZPRxL774otDpdCIyMtKqvEuXLsLBwUE8fPjQ6jk+/iUnJ4mJicLFxUU0a9ZMKhs+fLhQKBRSciqEEL/88osAIL788kur7TO+GGd+vlOnThUGg8EqpgsXLggAYtGiRVJZ9erVRf369a2SJSGE6N69u/D19ZVeuxnnbdiwYVnid3JyElOmTMn1+bm7u4sePXpYlZvNZlG3bl3RpEmTHLcV4r8kL6d/2f1gcu/ePat9DB8+XDg6OlqVZSTjn3/+uVX5zZs3hcFgEG+99ZYQIv1v1sXFRTz//PPSl+HsZJcM5aZBgwZW7wNCCLFkyRIBQJw7d04IYdt7W05+/vlnUbp0aek8eXh4iP79+2f5Yvc0SV7GNgsWLJDKYmJihE6ny/bHhcdlvNccO3bMqnz8+PECgLh06ZJVucVisUrsTSZTjvs2m83CaDSKOXPmCA8PD6s28/PzEwaDQdy6dUsqO3PmjAAgfH19rd7PNm/enOWL8PDhwwUAsWHDBqnMaDQKT09PAUCcOnXK6nyoVCopYc9Oxvtkhw4dRJ8+fXKsl52M1/rj/1xcXMTGjRut6s6bN08olcosP6pmvL62b98ulTk6Oorhw4c/8fi5xQ5ATJw4URiNRpGWliYuXrwounTpIgCIxYsXCyHy9nkqxLOf+3HjxgknJyfx999/Wx3rs88+k35gy01GkpcRS6NGjYQQ6ckZALFv375sk7xmzZoJLy8vER8fb3XuatWqJcqVKye9PgcOHJjj52LmJC8yMlKo1WrxyiuvWMUXHx8vfHx8xIABA6SynJK8tLQ0oVAoxNtvv53rcyb7wO6aVGQ1a9YMGo0Gzs7O6N69O3x8fPDLL7/A29sbe/fuBQCrbpUA0L9/fzg6OkpdverVqwetVouxY8fi+++/z7arVU5SUlKwZ88e9OnTBw4ODjCZTNK/rl27IiUlBceOHbPapm/fvk/c759//onbt29j6NChVl2jnJyc0LdvXxw7dixLdytb9pvZwIEDodFo4ODggNatW8NsNuPHH39EnTp1ct2vrec1Q82aNbPcXzN48GDExcXh1KlTUtn69evRsmVLODk5Qa1WQ6PRIDg4ONsRPzt06ABvb29pWaVSYeDAgbhy5Qpu3bpl+0nIo0GDBsHLy8uqK+6iRYvg6emJgQMH5rptxs325cuXtyofMWIEkpKSsnTDtdW6desQFxdn1cVt5MiREEJYdYn79ddfASDLvarZDUYycuRIJCcnIywsTCpbvnw5dDqdVP/KlSu4dOmStL/HX/tRUVH4888/rfab3Wu0SZMmCA0NxQcffIBjx45l6V505MgRPHjwAMOHD7c6hsViQefOnREREWHVZSwnr732GiIiIrL8e9qRMrdt2waFQoEhQ4ZYxeXj44O6detKXcWOHDmCuLg4TJw4MV/vP3z55Zdx5MgRq3O8fPlyNG7cGLVq1QLwbO9tXbt2RWRkJDZt2oRp06ahZs2a2Lx5M3r27PnM9ya2adMGlStXtnp9rlq1CqmpqTZ11bx9+zYAWN03mZstW7ZAo9FI/zK6JGbYu3cvOnbsCFdXV6hUKmg0GsycORMxMTG4e/euVd169epZDUwVEBAAIL3bd+b7lTPKM7oXZlAoFOjatau0rFarUaVKFfj6+qJ+/fpSubu7O7y8vLJsv3TpUjRo0AB6vV56n9yzZ4/V+6TZbLZ6TWb+97jdu3cjIiICx48fx7Zt29CxY0e8+OKLViOobtu2DbVq1UK9evWs9hUUFJSnUSxtiT3DkiVLoNFooNVqERAQgCNHjmDOnDmYOHGiVb28fO49y7nftm0b2rVrhzJlylidg4z7pvfv329zHCNHjsSJEydw7tw5BAcHo3Llytl2L05MTMRvv/2Gfv36WQ32pFKpMHToUNy6dUv6+//1119z/FzMbOfOnTCZTBg2bJjV89Dr9WjTpo1NbanRaODm5lYgI5lT4WOSR0XWihUrEBERgdOnT+P27dv4/fff0bJlSwDp95Wo1WrpHqsMCoUCPj4+0n0nlStXxu7du+Hl5YVJkyahcuXKqFy5Mr788ssnHj8mJgYmkwmLFi2y+hKh0WikD5P79+9bbZPTfS6P7zenumXKlIHFYkFsbGye95vZJ598goiICJw6dQqRkZG4du1atiOiPb5fW89rBh8fnyz7zCjLqLtx40YMGDAAZcuWxcqVK3H06FFERERg5MiRSElJyXH73PZZEHQ6HcaNG4fVq1fj4cOHuHfvHtatW4fRo0dLIzHmJCYmJsf2zFj/NIKDg6HX69G5c2c8fPgQDx8+RJ06deDv74/Q0FCYzWZp/2q1Gh4eHlbbZ3cua9asicaNG0tfws1mM1auXIlevXrB3d0dAHDnzh0AwLRp07K89jO+iNny2g8LC8Pw4cPx3XffoXnz5nB3d8ewYcMQHR1tdZx+/fplOc4nn3wCIQQePHjwxPNUrlw5NGrUKMu/px0p886dOxBCwNvbO0tcx44dk577vXv3pOPnp5deegk6nU66P/DChQuIiIjAyy+/LNV5lvc2ADAYDOjduzc+/fRT7N+/H1euXEGNGjWwePFinD9/HkD6F2UA0uvscSaTSaqTQaFQYOTIkTh37px039ry5ctRsWJFtGvX7olxJScnAwD0er1VeYUKFQBkTazatm0rJfWPD/Zy/PhxBAYGAgC+/fZbHD58GBEREdLgUxnHypDx+s+g1WpzLX/8/cvBwSFL3FqtNsv2GeWZt1+wYAEmTJiApk2bYsOGDTh27BgiIiLQuXNnqzg7dOiQ5TWZ8e9xdevWRaNGjdC4cWN069YN69evR5UqVTBp0iSpzp07d/D7779n2ZezszOEEFn+zrNja+wZBgwYgIiICJw4cQJ//vknYmJiMGPGjCz18vK59yzn/s6dO/jpp5+ynIOaNWsCyPpel5vWrVvjueeew7Jly/DDDz9g5MiR2f4AFBsbCyGETZ8bMTExuX4uZn4eANC4ceMszyUsLMzm56HX67NtN7I/HF2TiqyAgIAch4r38PCAyWTCvXv3rBISIQSio6PRuHFjqaxVq1Zo1aoVzGYzTpw4gUWLFmHKlCnw9vbO8WZoAChVqpT0q1rmD8XMKlasaLVsy6/5GV/Eo6Kisqy7ffs2lEolSpUqlef9ZlapUiWbhtl/fL95Oa8ApC/r2ZVlPM+VK1eiYsWKCAsLszpeampqtjHZss+CMmHCBHz88ccICQlBSkoKTCYTxo8f/8TtPDw8cmxPANIId3nx119/4dChQwD++4L7uJ07d6Jr165Su8XExFido+zOJZB+pWjixIm4ePEirl27hqioKKsEIiPe6dOn44UXXsh2H48PsZ3da7R06dJYuHAhFi5ciMjISGzduhX/+9//cPfuXezYsUM6zqJFi3IcMS/zr9eFpXTp0lAoFDh48GC2CX5GWcbfSH5fYS5VqhR69eqFFStW4IMPPsDy5cuh1+sxaNAgq3pP+96WnQoVKmDs2LGYMmUKzp8/j5o1a0rnPqdf9f/5559s22fEiBGYOXMmQkJCoNFocPr0acydO9em97GM18SDBw+svgB36tQJ77zzDrZu3SolbgDg5uYmvdc9/v6wdu1aaDQabNu2zSoBeNa53grCypUr0bZtW3z99ddW5Y8PgPEscwEqlUrUrFkT69evx927d+Hl5YXSpUvDYDAgJCQk221see+yNfYMnp6eT/X5VFBKly6NOnXq4MMPP8x2fUbSZauXX34Z7733HhQKBYYPH55tnVKlSkGpVNr0ueHh4ZHr52Lm5wEAP/74I/z8/PIUc2axsbFP9ZlFRQ+TPLJLHTp0wPz587Fy5Uq8/vrrUvmGDRuQmJiYZZ4aIL17Q9OmTVG9enWsWrUKp06dwosvvih9YXv8lysHBwe0a9cOp0+fRp06daRfb59VtWrVULZsWaxevRrTpk2TPsgSExOxYcMGacRNOeT1vJ4/fx5nz5616rK5evVqODs7S0N0KxQKaLVaqw/s6OjoHEfX3LNnD+7cuSN9eTSbzQgLC0PlypWf+YpJTm2dwdfXF/3798eSJUuQlpaGHj165JhgZdahQwds2rQJt2/ftvpCsGLFCjg4ODzVkN/BwcEA0q9AVKlSxWpdcnIyevXqhZCQEHTt2hXt2rXD/PnzsWrVKquJplevXp3tvgcNGoSpU6ciNDQU165dQ9myZa2+OFerVg3PPfcczp49i48++ijPsWenQoUKmDx5Mvbs2SNNyNyyZUu4ubnhwoULRWoKg+7du+Pjjz/GP//8gwEDBuRYr0WLFnB1dcXSpUvx4osv5vilNPPrztapL15++WWsW7cO27dvx8qVK9GnTx+r0SYzy+m9LTvx8fFQKBTZXuXM6FqX8Rp+7rnn4Ofnh/Xr1+P111+3en737t3Dr7/+in79+mXZT5kyZdC5c2esWbMGJpMJSqUyxy+7j6tevToA4OrVq9KVFABo1KgRAgMD8e2332LgwIFo1arVE/elUCigVqut5uxLTk4ukvPoKRSKLD8o/P777zh69KhVN/Bnmb/MbDbj3Llz0Ol0cHFxAZD+Wv/oo4/g4eGR5UfLx+l0umzfO22Nvajq3r07tm/fjsqVK2f5gfVpDB8+HL/99hsCAgJynJfW0dERTZs2xcaNG/HZZ59J7wsWiwUrV65EuXLlULVqVQDpU0ht3bo128/FzIKCgqBWq3H16tU83+KR4fbt20hJSSmS0w9R3jHJI7vUqVMnBAUF4e2330ZcXBxatmyJ33//HbNmzUL9+vUxdOhQAOn3CezduxfdunVDhQoVkJKSIv1i2bFjRwDpk5j6+flhy5Yt6NChA9zd3VG6dGn4+/vjyy+/xPPPP49WrVphwoQJ8Pf3R3x8PK5cuYKffvpJuoctL5RKJebPn4+XXnoJ3bt3x7hx45CamopPP/0UDx8+lIZ9loOt5zVDmTJl0LNnT7z//vvw9fXFypUrER4ejk8++URKVLt3746NGzdi4sSJ6NevH27evIm5c+fC19cXly9fzhJD6dKl0b59e8yYMQOOjo5YsmQJLl26lGUahaeRW1tneO2119C0aVMAyHYo+OzMmjVLuq9j5syZcHd3x6pVq/Dzzz9j/vz5We4TehKTyYQVK1YgICAgy1xhGXr06IGtW7fi3r17CAwMROvWrfHWW28hMTERjRo1wuHDh3P8Muvm5oY+ffogNDQUDx8+xLRp07IMnb9s2TJ06dIFQUFBGDFiBMqWLYsHDx7g4sWLOHXqFNavX5/rc3j06BHatWuHwYMHo3r16nB2dkZERAR27NghXR10cnLCokWLMHz4cDx48AD9+vWDl5cX7t27h7Nnz+LevXtZrg5kJzIyMsv9sUD6FYOnmXKkZcuWGDt2LF5++WWcOHECrVu3hqOjI6KionDo0CHUrl0bEyZMgJOTEz7//HOMHj0aHTt2xJgxY+Dt7Y0rV67g7Nmz+OqrrwAAtWvXBpDejbpLly5QqVRP/OEoMDAQ5cqVw8SJExEdHW11pRWw7b0tO3/++SeCgoLw4osvok2bNvD19UVsbCx+/vlnfPPNN2jbti1atGgh1f/ss88wYMAAaR49Hx8fXL58GR9//DG0Wm223eyA9Dnzfv75Z3z33XcICgqy+ct+06ZNYTAYcOzYMfTs2dNq3cqVKxEUFISOHTtixIgRCAoKgpeXF+Li4vD7779j9+7dUvICAN26dcOCBQswePBgjB07FjExMfjss8+e2P1aDt27d8fcuXMxa9YstGnTBn/++SfmzJmDihUr5mkY/8xOnjwpvffcuXMHISEhuHTpEl5//XXpyuaUKVOwYcMGtG7dGq+//jrq1KkjTZ6+a9cuvPHGG9L7Ye3atbFv3z789NNP8PX1hbOzM6pVq1YgsRemOXPmIDw8HC1atMCrr76KatWqISUlBTdu3MD27duxdOnSPP3AWKZMGZuuFs+bNw+dOnVCu3btMG3aNGi1WixZsgR//PEH1qxZI/2o8t5772Hr1q1o3749Zs6cCQcHByxevDjL/cr+/v6YM2cO3n33XVy7dg2dO3dGqVKlcOfOHRw/fhyOjo5Wc2NmJ+N91Jau1WQHZBz0hShbOU2h8Ljk5GTx9ttvCz8/P6HRaISvr6+YMGGC1RDdR48eFX369BF+fn5Cp9MJDw8P0aZNmyyjyO3evVvUr19f6HQ6AcBqBLHr16+LkSNHirJlywqNRiM8PT1FixYtxAcffCDVyW0UuuxGAxMifYS2pk2bCr1eLxwdHUWHDh3E4cOHrerkNCJgTp40Gp4t+7XlvAqRPhpdt27dxI8//ihq1qwptFqt8Pf3txpVL8PHH38s/P39hU6nEwEBAeLbb7/NdnQv/Dvy5JIlS0TlypWFRqMR1atXF6tWrcr2eeZ1dE0hcm/rDP7+/iIgICCbM5ezc+fOiR49eghXV1eh1WpF3bp1rUZSe/w55iZj9L6FCxfmWCdjJNSMESAfPnwoRo4cKdzc3ISDg4Po1KmTuHTpUo6jie7atUsade+vv/7K9hhnz54VAwYMEF5eXkKj0QgfHx/Rvn17sXTpUqlOTn+vKSkpYvz48aJOnTrCxcVFGAwGUa1aNTFr1qwsI6/u379fdOvWTbi7uwuNRiPKli0runXr9sTX8ZNG18w8mmNeRtfMEBISIpo2bSocHR2FwWAQlStXFsOGDbMafl0IIbZv3y7atGkjHB0dpaHOM6bOEEKI1NRUMXr0aOHp6SkUCkWWYc9z8s477wj8O61I5pF4hbD9ve1xsbGx4oMPPhDt27cXZcuWFVqtVjg6Oop69eqJDz74wGpagAy7d+8WgYGBws3NTajVauHr6yuGDBkiLl++nONx0tLShLe3twAg1q1b98TnmtnQoUNFjRo1sl2XkpIiFi1aJJ5//nkpHnd3d9GqVSvxySefiJiYGKv6ISEholq1akKn04lKlSqJefPmieDg4CxtkPF+9rjs/l4zXneZp4rJ6XWUeeTFzB4/Xmpqqpg2bZooW7as0Ov1okGDBmLz5s1i+PDhws/PL9tzkZPsRtd0d3cXTZs2FSEhIVleSwkJCeK9994T1apVE1qtVpo26PXXX7ca0fHMmTOiZcuWwsHBQQCQ3lvzErst7395/Tx91nMvRPrIy6+++qqoWLGi0Gg0wt3dXTRs2FC8++67IiEhIdd4czpOZtmNrimEEAcPHhTt27eX3mOaNWsmfvrppyzbHz58WDRr1kzodDrh4+Mj3nzzTfHNN99k+16yefNm0a5dO+Hi4iJ0Op3w8/MT/fr1s5qSJqfRNYcOHSpq166d63Mh+6EQ4rEZQYmISrDff/8ddevWxeLFi7OM9kZEBe/EiRNo3Lgxjh07Jl1FIqKCFRcXhzJlyuCLL77AmDFj5A6H8gGTPCIipN8D9Pfff+Odd95BZGQkrly5Itu9kUQl3cCBA5GYmIht27bJHQpRiTB79myEhYXh999/zzJqLtknTqFARARg7ty56NSpExISErB+/XomeEQy+vzzz9G4ceOnHkmSiPLGxcUFoaGhTPCKEV7JIyIiIiIiKkZ4JY+IiIiIiKgYYZJHRERERERUjDDJIyIiIiIiKkZK5N2VFosFt2/fhrOzszTZJBERERERUVEmhEB8fDzKlCkDpTLn63UlMsm7ffs2ypcvL3cYREREREREeXbz5k2UK1cux/UlMslzdnYGkH5yXFxcZI6meDEajdi1axcCAwOh0WjkDodsxHazT2w3+8R2s09sN/vEdrNPbLecxcXFoXz58lI+k5MSmeRldNF0cXFhkpfPjEYjHBwc4OLiwj9KO8J2s09sN/vEdrNPbDf7xHazT2y3J3vSLWcceIWIiIiIiKgYYZJHRERERERUjDDJIyIiIiIiKkZK5D15tjKbzTAajXKHYVeMRiPUajVSUlJgNpvlDqdE0Gg0UKlUcodBREREREUEk7xsCCEQHR2Nhw8fyh2K3RFCwMfHBzdv3uQchIXIzc0NPj4+POdERERExCQvOxkJnpeXFxwcHPjFOQ8sFgsSEhLg5OSU6wSNlD+EEEhKSsLdu3cBAL6+vjJHRERERERyY5L3GLPZLCV4Hh4ecodjdywWC9LS0qDX65nkFRKDwQAAuHv3Lry8vNh1k4iIiKiE47fwx2Tcg+fg4CBzJES2y3i98h5SIiIiImKSlwN20SR7wtcrEREREWVgkkdERERERFSMMMkjIiIiIiIqRpjkERERERERFSNM8kqYmJgYeHl54caNGwV6nPj4ePTr169Aj5FX/fr1w4IFC+QOg4iIiIioQDHJK2Zat24NhUIBhUIBjUaDatWqYfXq1dL6efPmoUePHvD397fa7siRI1CpVOjcuXO2+x0xYoS038z/cqqfmpqKDRs25Brr3bt3MW7cOFSoUAE6nQ4+Pj4ICgrC0aNHpTpt27bFlClTsmy7efNmabCRHj16oGPHjtke4+jRo1AoFDh16hRmzpyJDz/8EHFxcbnGRURERERkz5jkFSNCCJw5cwbz5s1DVFQU/vrrLzz//PMYPnw4rl+/juTkZAQHB2P06NFZtg0JCcErr7yCQ4cOITIyMtv9d+7cGVFRUVb/1qxZ89Tx9u3bF2fPnsX333+Pv/76C1u3bkXbtm3x4MGDPO1n1KhR2Lt3L/7+++8s60JCQlCvXj00aNAAderUgb+/P1atWvXUMRMRERERFXWcDL0YuXz5MuLj4/H888/Dx8cHAPDOO+8gJCQEv//+O06fPg21Wo3mzZtbbZeYmIh169YhIiIC0dHRCA0NxcyZM7PsP+NqW354+PAhDh06hH379qFNmzYAAD8/PzRp0iTP++revTu8vLwQGhqKWbNmSeVJSUkICwvDRx99JJX17NkTa9aswYQJE579SRARERERFUG8kleMnDx5EgqFAnXq1JHKbt26BQDw9vbGgQMH0KhRoyzbhYWFoVq1aqhWrRqGDBmC5cuXQwhRoLE6OTnByckJmzdvRmpq6jPtS61WY9iwYQgNDbWKe/369UhLS8NLL70klTVp0gTHjx9/5mMSERERERVVvJJng1sdR8N0N29dCPOD2ssd5XZ/Z3P9U6dOoWLFinBxcQEA/Pnnn5g2bRrq1auHJk2a4OOPP0aZMmWybBccHIwhQ4YASO+SmZCQgD179mS5z23btm1wcnKyKnv77bcxY8aMvD41qNVqhIaGYsyYMVi6dCkaNGiANm3a4MUXX7RKUm01cuRIfPrpp9i3bx/atWsHIL2r5gsvvIBSpUpJ9cqWLYvU1FRER0fDz88vz8chIiIiIirqmOTZwHT3AcxR9+QO44lOnjyJGzduwMnJCSaTCQqFAgMHDsQnn3wCpVKJ5ORk6PV6q23+/PNPHD9+HBs3bgSQnnwNHDgQISEhWZK8du3a4euvv7Yqc3d3f+p4+/bti27duuHgwYM4evQoduzYgfnz5+O7777DiBEj8rSv6tWro0WLFggJCUG7du1w9epVHDx4ELt27bKqZzAYAKR35SQiIiIiKo6Y5NlA7fX0iUxhHvf06dN48803MXr0aDg4OMDX11cagRIASpcujdjYWKttgoODYTKZULZsWalMCAGNRoPY2Firq2COjo6oUqXKUz6b7On1enTq1AmdOnXCzJkzMXr0aMyaNUtK8lxcXPDo0aMs2z18+FC6Yplh1KhRmDx5MhYvXozly5fDz88PHTp0sKqTMaiLp6dnvj4PIiIiIqKigkmeDfLSZVIu165dw8OHD9GpU6ccE7H69etj5cqV0rLJZMKKFSvw+eefIzAw0Kpu3759sWrVKkyePLlA435cjRo1sHnzZmm5evXq+OWXX7LUi4iIQLVq1azKBgwYgNdeew2rV6/G999/jzFjxlgluQDwxx9/oFy5cihdunSBxE9EREREJDcmecVExqArDRs2zLFOUFAQpk+fLl2h27ZtG2JjYzFq1Ci4urpa1e3Xrx+Cg4OtkryMe9kyU6vVT5UwxcTEoH///hg5ciTq1KkDZ2dnnDhxAvPnz0evXr2kehMnTsRXX32FSZMmYezYsTAYDAgPD0dwcDB++OEHq306OTlh4MCBeOedd/Do0aNsu3wePHgwS0JLRERERFSccHTNYuLUqVOoUqUK3NzccqxTu3ZtNGrUCOvWrQOQ3lWzY8eOWRI8IP1K3pkzZ3Dq1CmpbMeOHfD19bX69/zzzz9VvE5OTmjatCm++OILtG7dGrVq1cKMGTMwZswYfPXVV1I9f39/HDx4EFevXkVgYCAaN26M0NBQhIaGon///ln2O2rUKMTGxqJjx46oUKGC1bqUlBRs2rQJY8aMeaqYiYiIiIjsAa/kFRPz5s3DvHnznlhvxowZmDZtGsaMGYOffvopx3oNGjSwmo4gI7HKLzqdzuaYGzZsiB07dti03+bNm+c4/UNwcDCaNm2KZs2a5SlWIiIiIiJ7wiSvhOnatSsuX76Mf/75B+XLl5c7nEKl0WiwaNEiucMgIiIiIipQTPJKoNdee03uEGQxduxYuUMgIiIiIipwvCePCkTp0qVz7DZJREREREQFh0keERERERFRMcIkj4iIiIiIqBhhkkdERERERFSMMMkjIiIiIiIqRpjkERERERERFSNM8oiIiIiIiIoRJnlERERERETFCJM8IiIiIiKiYkT2JO/AgQPo0aMHypQpA4VCgc2bNz9xm/3796Nhw4bQ6/WoVKkSli5dWvCBUoHYt28fFAoFHj58KHco2QoODkZgYKCsMfTr1w8LFiyQNQa5WIQF5+6cw4G/D+DcnXOwCIvcIRVrGed734192HBhA/bd2Fco553tTERERY29fzbJnuQlJiaibt26+Oqrr2yqf/36dXTt2hWtWrXC6dOn8c477+DVV1/Fhg0bCjjSom3EiBFQKBT4+OOPrco3b94MhUJhVSaEwDfffIOmTZvCyckJbm5uaNSoERYuXIikpKRs93/jxg0oFArpX6lSpdC6dWvs37/f5hjbtm2LKVOmWJW1aNECUVFRcHV1tXk/T5IR65kzZ55pP6mpqZg5cyZmzJiRP4HlYMOGDahRowZ0Oh1q1KiBTZs2Wa2fOXMmPvzwQ8TFxRVoHEXNkZtHMGTjEAzbNAzjt43HsE3DMGTjEBy5eUTu0IqljPPdd11f9FrTC0M2DUGvNb3QN6xvgZ53tjMRERU1xeGzSfYkr0uXLvjggw/wwgsv2FR/6dKlqFChAhYuXIiAgACMHj0aI0eOxGeffVbAkeaNxQLcuAGcO5f+v6UQkn+9Xo9PPvkEsbGxudYbOnQopkyZgl69euHXX3/FmTNnMGPGDGzZsgW7du3Kddvdu3cjKioK+/fvh4uLC7p27Yrr168/dcxarRY+Pj5ZEtGiYMOGDXByckKrVq0K7BhHjx7FwIEDMXToUJw9exZDhw7FgAED8Ntvv0l16tSpA39/f6xatarA4ihqjtw8gmm7puFU1Cm4Gdzg7+YPN4MbTkedxrRd0+zqTdYeZJzvwzcP407CHZgsJuhVepiFGXcS7+Bw5OECOe9sZyIiKmqKy2eTWu4A8uro0aNZus8FBQUhODgYRqMRGo1Gpsj+c/EisGkTcOkSkJIC6PVA9epAnz5AQEDBHbdjx464cuUK5s2bh/nz52dbZ926dVi1ahU2b96MXr16SeX+/v7o2bPnE68WeXh4wMfHBz4+Pli2bBnKlSuHXbt2oV+/fpg8eTIOHjyIBw8eoHLlynjnnXcwaNAgAOlXGvfv34/9+/fjyy+/BJB+VfbGjRto164dYmNj4ebmBgA4cuQI/ve//yEiIgKlS5dGnz59MG/ePDg6Okqxjh07FleuXMH69etRqlQpvPfeexg7diwAoGLFigCA+vXrAwDatGmDffv2Yd++fXjrrbdw/vx5aDQa1KxZE6tXr4afn1+2z3Xt2rXo2bOntHzgwAF06NABN2/ehI+Pj1T+xhtvICIiAgcOHMj13GVn4cKF6NSpE6ZPnw4AmD59Ovbv34+FCxdizZo1Ur2ePXtizZo1mDBhQp6PYW8swoKvjn+FB8kPUMW9ivQDgJPWCZXdK+Pqg6tYfHwxmpVrBqVC9t+p7F7m8200G2EWZjjpnAAAGqFBkjEJJosJD5Ie5Ot5ZzsXXcJshkhOhSUpBSIlFSI5BZbkVIjkVAijETCaIUwmiDQjhMkEpJkgjKZ/y0yA6d/ljLr/roPFApgtEBYBiIzHFsAiALMZQgjrOhYLYHmsTka5EBBmi/QYIiN4kf4v4zH+W5Xduuy2E5nrZFovhEDluDhELdgIRaZtRZZ9PhaPvSlmMQsAzyUm4vZHa1Fkfk62w1Nc2AREert9uAaKQmw5AQF1wh18bBbQKr0BhQVAIkJGOcLR174+m+wuyYuOjoa3t7dVmbe3N0wmE+7fvw9fX98s26SmpiI1NVVazkhkjEYjjEajVV2j0QghBCwWCyxPcfnt4kVg0SLg/n2gfHkFHB2BxETg1CmByEjglVcKJtETQkCpVOKDDz7AkCFDMHnyZJQrV056Dhn/r1y5EtWqVUOPHj2yfX7Ozs7ZlmfeT8ZjvV4PAEhLS0NSUhIaNGiAadOmQaVSYf/+/Rg6dCj8/f3RtGlTfPHFF/jrr79Qs2ZNzJ49GwDg6emJa9euWe333LlzCAoKwpw5c/Dtt9/i3r17ePXVVzFp0iSEhIRI8Xz++eeYM2cO/ve//2HDhg2YMGECnn/+eVSvXh3Hjh1Ds2bNsGvXLtSsWRNarRZpaWno3bs3Ro8ejVWrViEtLQ3Hjx+X2jo7Bw8exKBBg6T1zz//PCpVqoQVK1Zg2rRpAACTyYSVK1fio48+gsViQWRkJGrVqpVrW7300kv4+uuvAaT/aDFlyhSrGAIDA/Hll19alTVq1Ajz5s1DcnIydDpdtu0jhIDRaIRKpcr1+NnJ+Dt4/O9BDhfuXsC1+9fg5+wHrUJrvVIBVHCugKv3r+Lc7XOo4VVDniCLiPxot4zz7aH3QGxiLNy0blAp/3sNaRQamMwmeBg88vW8l+R2Lqi/N2E2wxLzCObYRxCPEmGJS0j/9yjT/5kei6Tk9MQtOSU9qUtJT+SQJv/7QFFlAGDEPbnDoDzSATAh915OVPSkt9vDQj+uB4D0FOm/72F6kwpahaZIfDbZ+tlhd0kegGzvMcuuPMO8efOkxCKzXbt2wcHBwapMrVbDx8cHCQkJSEtLy1NcFgsQFqZDVJQK1atboFAAJhOg0wGVKwOXLimxbp0Zr72WCmU+J/9GoxEmkwkdOnRA7dq18e6772LRokVITk4G8F9i+9dff6FSpUp5vr8rISEBQPo9lHFxcUhMTMR7770HlUqFBg0awNnZGWPGjJHq+/v74+eff8bq1asREBAAhUIBpVIJtVotnfPExETpHsD4+HgolUrMmzcPffv2xcsvvwwgPYH/8MMP0b17d3z88cfQ6/WwWCzo2LEjXnrpJQDA+PHj8cUXX2DHjh0oU6YMDAYDgPQkNONY//zzDx49eoR27drB09MTANCnTx+rc5PZo0eP8PDhQ7i6ulqtHzx4MEJCQqSrhtu3b0dSUhI6d+6MuLg4ODk5PfGKnrOzs7TP6Ohoq+WM9dHR0VZlrq6uSE1NxeXLl1GhQoUs+0xLS0NycjIOHDgAk8mU6/FzEx4e/tTb5qfpPtNzXvnvn+yNEzdwAzcKJZ6i7lnbTTrfnk+um5/nvaS3s83tJgRUCcnQxMRBe/8RNDFx0DxKhDouCeq4RKj/faxKSIbCHq/CyERIXxkU//337/cI6Sxm/l6hUFhVT9/HY987rOpkrW8vhD0GbW8hF8HbVChn3Rx6IsXBq0h8NuU0fsbj7C7J8/HxQXR0tFXZ3bt3oVar4eHhke0206dPx9SpU6XluLg4lC9fHoGBgXBxcbGqm5KSgps3b8LJyUm6UmWrGzeA69cVqFQpvYvm4ypWBK5d0+DhQx38/fO06yfSaDRQq9VwcXHB/Pnz0bFjR7z99ttSwpPxPBUKBTQaTZbn/SROTundt4KCgqBUKpGUlARfX1+EhISgefPmMJvN+OSTT7Bu3TrcunULaWlpSE1Nhaurq3QstVoNrVZrdeyMJMzZ2RkuLi44d+4crly5gh9//FGqk3G1LSYmBgEBAVAqlWjYsKHVfnx9fREfHw8XFxcpVkdHR6mOi4sLhg8fjr59+6Jjx47o2LEj+vfvn+2VXyA9AQXSu6dmPs64cePw4Ycf4sKFC2jWrBnWrl2bZT/u7u55OrcODg5Wx9Dr9VAoFFZlGYmpSqXKtu1SUlJgMBjQunXrPL9ugfQfCcLDw9GpUyfZuzxfuHsB47aNg6veFY5axyzrE9MS8SjlEZZ1X1bsrvDkVX60W8b5VqlUuBJzBRqVxupKnsligsliQhX3KjCbzfl23ktyO2fXbkIImKPuw/jXDRivRMJ0/R+YbkbDfDMappvREEkpBRKLwqCHQq9N/9+gg8KggzLjsV73b9m/yzotFDoNFGo1oFFDofn3f7UaCo0K0GisH2tUgFoNhVYDhUoFqJSAUpH+WKEAlEpApYRCqQAUyv/WK5Xp65SZllVKQJHpsTLTsjIjmcr0f8b3Z4X1ume5/7sovU+S7dhu9kmudsv5s+kXIKlofDbZeqHG7pK85s2b46effrIq27VrFxo1apTji0Cn02XbxU2j0WTZxmw2S1edlHm83JaYCKSmAk5O2f9A4+QE3L4NJCYq8v1KXsaol0qlEm3btkVQUBDee+89jBgxAgCk51K1alVcunQpz88to35YWBhq1KgBNzc3q6T6s88+w8KFC7FgwQJUrFgR3t7emDp1KoxGo9WxMmJ8fL8Z59tisWDcuHF49dVXs8RQoUIFqb5Wq82y34wuq4/vM0NoaChee+017NixA+vWrcOMGTMQHh6OZs2aZTmWp6cnFAoFHj16ZLUPHx8f9OjRA99//z2qVKmCX375Bfv27ZPqREZGokaN3P/ohwwZIk374ePjg7t371od4/79+/D29rYqy5hi4vHyzOcxI4F/ljfDZ90+P9QuUxuVSlfC6ajTqOxe2epLmRACkfGRaODbALXL1C7y/eELy7O0W8b5PhV1Ciq1Cg9TH0ofbEIIJBmT4KpzRUxyDBqWaZhv570kt7NITYPhehRS1vyChHOXkXbxGtL++hsiwbZfZ7PQaqD2LAWVlwdUnqWgcneF0s0ZSlcnqFzT/1e6OkPp4vRvWfqywkGfniRRnhSF90nKO7abfSrsdrOHzyZbz4fsSV5CQgKuXLkiLV+/fh1nzpyBu7s7KlSogOnTp+Off/7BihUrAKR3zfvqq68wdepUjBkzBkePHkVwcLDVIBVycXZOv4KXmAhkd6EsMTF9vbNzwcfy8ccfo169eqhatapV+eDBg/Hiiy9iy5YtVgOvAOkv3ri4uFynMyhfvjwqV66cpfzgwYPo1asXhgwZInVbvHz5MgIy3YCo1WphNptzjbtBgwY4f/48qlSpYsvTzJZWm35/T3bHql+/PurXr4/p06ejefPmWL16dbZJnlarRY0aNXDhwoUsA/2MHj0aL774IsqVK4fKlSujZcuW0royZco8ceqGzFfimjdvjvDwcLz++utS2a5du9CiRQurbf744w+UK1cOpUuXznXfxYFSocTkJpMxbdc0XH1wFT7OPjCoDUg2JSM6PhqlDKUwqcmkYvfFXy6Zz3eKKQUqhQoJqQnQqrQwWoxQKVRQK9Vwd3DP1/NektrZFH0fyUfPIOXIGaScvIC0i9dQ2WS26Q4hhU4LdXkfqMv7QFPBV3qs9vaAyssdKi93KF2ciuQIxURE9qY4fTbJnuSdOHEC7dq1k5YzulUOHz4coaGhiIqKQmRkpLS+YsWK2L59O15//XUsXrwYZcqUwf/93/+hb9++hR774ypUSB9F8/RpoEYN66t5QgC3bgENGqTXK2i1a9fGSy+9hEWLFlmVDxgwAJs2bcKgQYMwY8YMdOrUCZ6enjh37hy++OILvPLKK+jdu3eej1elShVs2LABR44cgUajwbfffovo6GirJM/f3x+//fYbbty4AScnp2y7Nb799tto1qwZJk2ahDFjxsDR0REXL15EeHh4lueSEy8vLxgMBuzYsQPlypWDXq/HgwcP8M0336Bnz54oU6YM/vzzT/z1118YNmxYjvsJCgrCoUOHssztFxQUBFdXV3zwwQeYM2eO1Tq1Wp2nBPW1115D69at8cknn6BXr17YsmULdu/ejUOHDlnVO3jwoOyTshemFuVb4LPAz/DV8a9w8d5F3DHfgU6lQwPfBpjUZBJalG/x5J2QzTKf7xO3T+BOwh2kmFOgVWnh7eCNxmUbF8h5L67tbI5LQPLe40g6cAIpR87AePXmE7dR+/lCW9Ufmqp+0Fb1h7ZKBagr+ELl5c6rbUREhai4fDbJnuS1bdv2v+GHsxEaGpqlrE2bNjh16lQBRvV0lMr0aRJu3gQuXADKlYM0uuatW0Dp0kDv3sj3rpo5mTt3LtatW2dVplAosHr1anzzzTcICQnBBx98ALVajeeeew7Dhg1DUFDQUx1rxowZuH79Orp06QKDwYCxY8eid+/eePTokVRn2rRpGD58OGrUqIHk5ORs59erU6cO9u/fj3fffRetWrVKH7K6cmUMHDjQ5ljUajX+7//+D3PmzMHMmTPRqlUrhIWF4dKlS/j+++8RExMDX19fTJ48GePGjctxP2PGjEGDBg3w6NEjq6ubSqUSI0aMwEcffZRrkmiLFi1aYO3atXjvvfcwY8YMVK5cGWFhYWjatKlUJyUlBZs2bcLOnTuf6Vj2pkX5FmhWrhnO3z2P2JRYlNKXQk2vmnbx65k9yny+Y5JjEJMUAw8HD3gYPAr0vBeXdjbeuI3EnYeRtPMQko+eBUw59FpQKqGpUh53PRxRqUt7GBoEQFezCpRODtnXJyKiQlccPpsUIrcMq5jK6JL46NGjbAdeuX79OipWrPhUA1gA2c+TFxCQnuAV5Dx5RYHFYkFcXBxcXFzyfN9fUTRgwACpe2dmY8aMwZ07d7B169YCj2Hx4sVPnKj+WV+3RqMR27dvR9euXXnPgh1hu8nLdCcGCRvDER+2E2nnr2RfSaOGvl516FvUg6FFPeib1IZZp2G72SH+vdkntpt9YrvlLLc8JjPZr+QVRwEBQLVqQGQkEB+ffg9ehQqFdwWP8s+nn35qlcg9evQIERERWLVqFbZs2VIoMWg0Gpu7qhJRwbIkpyJxx0EkhO1E0q/H0+fOeYzazxeOgS3hENgC+ia1oXSw/uHFXATmoyQiouKNSV4BUSqR79MkUOHz8/PDK6+8Ii336tULx48fx7hx49CpU6dCiSFjTj4iko/pTgziQjbhUehmWB48yrJe1yAAjl1bwzGoJTTV/DkQChERyYpJHlEe7Nu3T+4QiKgQpV64ikdL1yF+QziQZn0FTl3OG84DOsNpQCC0lQthRC0iIiIbMckjIiJ6TOr5K3jw4TdICj9qvUKtglPv9nAZ0gP65nU58iURERVJTPKIiIj+Zbx1B7Eff4f4dTvT5775l9LVCS7DesF19AtQl/GSMUIiIqInY5JHREQlnjk2DrFf/oC47zZCpKZJ5eqyXnCdOAgug7tymgMiIrIbTPKIiKjEEkIgPmwHYt5fDEvMfwOqKN2cUWrKULiMegFKvU7GCImIiPKOSR4REZVIxmu3cPeNT5Fy6JRUptBp4Tq2H9xeHQKVm7OM0RERET09JnlERFSiCCEQF7oZMe8vgUhKkcode7VH6dkToS7rLWN0REREz47DgpEsbty4AYVCgTNnzsgdSrb27t2L6tWrw5LNRMeFZdq0aXj11VdlOz5RcWS6F4uoF9/E/bcWSAmeuoIvfNd+Bp/vZjPBIyKiYoFJXjFz5MgRqFQqdO7cOcu6jMQqu3/Hjh3LcZ+Z6zk7O6NRo0bYuHGjzTGNGDECvXv3tiorX748oqKiUKtWLZv3YwuFQoHNmzc/837eeustvPvuu1AW0PDoUVFRGDx4MKpVqwalUokpU6ZkG8Py5ctx/fr1AomBqKRJPnwat9q9jOS9v0llLiN6ofz+UDh0aCpjZERERPmLSV4BsQgLzt05hwN/H8C5O+dgEYVzRSgkJASvvPIKDh06hMjIyGzr7N69G1FRUVb/GjZsmOt+ly9fjqioKERERKBu3bro378/jh49mus2uVGpVPDx8YFaXfR6DB85cgSXL19G//79C+wYqamp8PT0xLvvvou6detmW8fLywuBgYFYunRpgcVBVBIIIfBwyVrcfmEKzHdiAAAqT3f4hn0Gz0+ncdRMIiIqdpjkFYAjN49gyMYhGLZpGMZvG49hm4ZhyMYhOHLzSIEeNzExEevWrcOECRPQvXt3hIaGZlvPw8MDPj4+Vv80Gk2u+3Zzc4OPjw+qV6+OpUuXQq/XY+vWrTCbzRg1ahQqVqwIg8GAgIAAq6Tk/fffx/fff48tW7ZIVwP37duXbXfNCxcuoGvXrnBycoK3tzeGDh2K+/fvS+vbtm2LV199FW+99Rbc3d3h4+OD999/X1rv7+8PAOjTpw8UCoW0fPbsWbRr1w7Ozs5wcXFBw4YNceLEiRyf69q1axEYGAi9Xg8g/QqoUqnMss2iRYvg5+cHkWkuLVv5+/vjyy+/xLBhw+Dq6ppjvZ49e2LNmjV53j8RpbOkpOLu5I8QM2sx8G/3a0OrBij3awgc2vPqHRERFU9M8vLZkZtHMG3XNJyKOgU3gxv83fzhZnDD6ajTmLZrWoEmemFhYahWrRqqVauGIUOGYPny5U+VgDyJRqOBWq2G0WiExWJBuXLlsG7dOly4cAHvvfce5s6di3Xr1gFIv69swIAB6Ny5s3TVsEWLFln2GRUVhTZt2qBevXo4ceIEduzYgTt37mDAgAFW9b7//ns4Ojrit99+w/z58zFnzhyEh4cDACIiIgBYX3UEgJdeegnlypVDREQETp48if/973+5JrUHDhxAo0aNpGV/f3907NgRy5cvt6q3fPlyjBgxAgqFAgDg5OSU678uXbrk9VSjSZMmuHnzJv7+++88b0tU0pkfPMLtF6YgYd0OqazU1OHwXb8Aam8PGSMjIiIqWEWvr5wdswgLvjr+FR4kP0AV9yr/ffnXOqGye2VcfXAVi48vRrNyzaBU5H9+HRwcjCFDhgAAOnfujISEBOzZswcdO3a0qteiRYss95o9evQIKpXqicdITU3Fp59+iri4OHTo0AEajQazZ8+W1vv5+WH//v1Yv349XnzxRTg5OcFgMCA1NRU+Pj457vfrr79GgwYN8NFHH0llISEhKF++PP766y9UrVoVAFCnTh3MmjULAPDcc8/hq6++wp49e9CpUyd4enoC+O+qY4bIyEi8+eabqF69urRdbm7cuIEyZcpYlY0ePRrjx4/HggULoNPpcPbsWZw5c8bq3sQnDSJjMBhyXZ+dsmXLSjH5+fnleXuiksoYGYWogdNgvJLebV3hoIfX/70Dp17tZI6MiIio4DHJy0fn757HxXsX4evsKyV4GRQKBXycfXDh3gWcv3setb1r5+ux//zzTxw/flxKOtRqNQYOHIiQkJAsSV5YWBgCAgKsyp6U4A0aNAgqlQrJyclwdXXFZ599Jl2ZWrp0Kb777jv8/fffSE5ORlpaGurVq5en+E+ePIlff/0VTk5OWdZdvXrVKsnLzNfXF3fv3s1131OnTsXo0aPxww8/oGPHjujfvz8qV66cY/3k5GSpq2aG3r17Y/Lkydi0aRNefPFFhISEoF27dlKXUACoUqXKk55mnmUkhklJSfm+b6LiKvXCVUT1nwrz3QcAAJWXO3zXfApdnaoyR0ZERFQ4mOTlo9iUWKSaU2FQZ3/FxqA24I75DmJTYvP92MHBwTCZTNKVHyB9sAGNRoPY2FiUKlVKKi9fvnyeE5IvvvgCHTt2hIuLC7y8vKTydevW4fXXX8fnn3+O5s2bw9HRER999FGep0awWCzo0aMHPvnkkyzrfH19pcePd7NUKBRPnObg/fffx+DBg/Hzzz/jl19+waxZs7B27Vr06dMn2/qlS5dGbKx1G2m1WgwdOhTLly/HCy+8gNWrV2PhwoVWdbJLUDNr1aoVfvnll1zrPO7Bg/QvqRlXKYkod6m//4Xb/afC8uARAEBTpQJ8wz6DpoLvE7YkIiIqPpjk5aNS+lLQqXRINiXDSZv1C3+yKRk6lQ6l9KWy2frpmUwmrFixAp9//jkCAwOt1vXt2xerVq3C5MmTn+kYPj4+2SaGBw8eRIsWLTBx4kQA6cnajRs3rOpotVqYzeZc99+gQQNs2LAB/v7+zzTipkajyfZYVatWRdWqVfH6669j0KBBWL58eY5JXv369XHhwoUs5aNHj0atWrWwZMkSGI1GvPDCC1brC6K75h9//AGNRoOaNWvmeVuikibl9EVE9Z8Ky6MEAICufgB818yHysNN3sCIiIgKGZO8fFTTqyYCPANwOuo0KrtXtuqyKYRAdHw0Gvg2QE2v/P3Cvm3bNsTGxmLUqFFZRmrs168fgoODrZK8mJgYREdHW9Vzc3PL0kXRFlWqVMGKFSuwc+dOVKxYEStWrMCpU6dQqVIlqY6/vz927tyJP//8Ex4eHtmOJjlp0iR8++23GDRoEN58802ULl0aV65cwdq1a/Htt9/adL9gxrH27NmDli1bQqfTQa/X480330S/fv1QsWJF3Lp1CxEREejbt2+O+wgKCsL333+fpTwgIADNmjXD22+/jZEjR2ZJ2vJ6dTQjKUxISMC9e/dw5swZaLVa1KhRQ6pz8OBBtGrV6qkSRKKSJPWPK1YJnr5xLfiGfQals6PMkRERERU+jq6Zj5QKJSY3mYxShlK4+uAqEtISYLaYkZCWgKsPrqKUoRQmNZmU74OuBAcHo2PHjtkmT3379sWZM2dw6tQpqaxjx47w9fW1+ve0E4iPHz8eL7zwAgYOHIimTZsiJiYGo0aNsqozZswYVKtWDY0aNYKnpycOHz6cZT9lypTB4cOHYTabERQUhFq1auG1116Dq6trniYk//zzzxEeHo7y5cujfv36UKlUiImJwbBhw1C1alUMGDAAXbp0sRos5nFDhgzBhQsX8Oeff2ZZN2rUKKSlpWHkyJE2x5ST+vXro379+jh58iRWr16N+vXro2vXrlZ11qxZgzFjxjzzsYiKs7SrkYgakCnBa14Xvus+Z4JHREQlFq/k5bMW5Vvgs8DP8NXxr3Dx3kXcMd+BTqVDA98GmNRkElqUzzp9wLP66aefclzXoEEDq2kUnmZKhdy20el0WL58uTS9gMViQVxcHD7//HOpjqenJ3bt2vXE/T733HNWo1U+bt++fVnKHk9Oe/TogR49eliV5XWeuVKlSmHy5MlYsGABli1bZrUuKioKtWrVQuPGjfO0z+w8qS1+/vlnqFQq9OvX75mPRVRcmW7fRVTf12G+l34fra5RTfiuns8JzomIqERjklcAWpRvgWblmuH83fOITYlFKX0p1PSqWSDTJlDBePfdd7F48WKYzWaoVCokJCTg4sWLWLRoEebOnVsoMSQmJmL58uXPdI8iUXFmiU9E1KA3YfonfYRdbc3K8F3zKRM8IiIq8fjtsYAoFcp8nyaBCo+rqyveeecdaXny5MlYs2YNevfunS9dNW3x+ETwRPQfYTQhetRMpF24BgBQ+5eB77oFULk5yxwZERGR/JjkEdkgNDQUoaGhcodBRP+6/85CJP96HACgLOUC37WfQu3lLnNURERERQP7DxIRkV2JW7EVcaFb0he0Gvh8/xG0lSvIGxQREVERwiSPiIjsRsrxc7j3vy+kZa8v3oKheV0ZIyIiIip6mOTlwGKxyB0Ckc34eqWSwBR9H9EvvwcYTQAA13H94Tygs8xRERERFT28J+8xWq0WSqUSt2/fhqenJ7RardWk5pQ7i8WCtLQ0pKSk5Gl+O3o6QgikpaXh3r17UCqV0Gq1codEVCCE2Yy7E+fCfPcBAEDfsj48Zk2UOSoiIqKiiUneY5RKJSpWrIioqCjcvn1b7nDsjhACycnJMBgMTI4LkYODAypUqMDEmoqth/+3CskHTwEAVD6l4f3tbCg0/AgjIiLKDj8hs6HValGhQgWYTCaYzWa5w7ErRqMRBw4cQOvWraHRaOQOp0RQqVRQq9VMqqnYSv7tdzz4JCR9QaGA99KZUHuWkjcoIiKiIoxJXg4UCgU0Gg0TlTxSqVQwmUzQ6/U8d0T0zCzxibg7YS7w7w9upd4YDkPL+jJHRUREVLSxbxcRERVZ92d+BdPNaACAvmkdlHpjuMwRERERFX1M8oiIqEhKDD+K+JXbAAAKRwO8Fr8LhZodUIiIiJ6ESR4RERU55tg43Hv9E2m59NzJ0PiVkTEiIiIi+8Ekj4iIipyYWYthvhMDADC0bwrnIT1kjoiIiMh+MMkjIqIiJfnwacSv2Q4AUDo7wmvh2xw9loiIKA+Y5BERUZFhSUnFvTc+lZbdZ4yD2tdTxoiIiIjsD5M8IiIqMh5+uRLGqzcBALrGteAyvJfMEREREdkfJnlERFQkGK//g9j/W5W+oFbB8/M3oVDyY4qIiCiv+OlJRERFwv1ZXwFpRgCA24SB0AVUkjkiIiIi+8Qkj4iIZJe09zck/XIIAKDy9kCpqZz0nIiI6GkxySMiIlkJown331skLXvMHA+lk4OMEREREdk3JnlERCSrR8s3w3j5bwDpg6049QuUOSIiIiL7xiSPiIhkY45LQOyCUGm59IevcrAVIiKiZ8RPUiIiks3DRathiXkEAHB6oSP09QNkjoiIiMj+MckjIiJZmKLu4dGydekLGjXc3xkjb0BERETFBJM8IiKSxYP5IRDJqQAA15f7QONXRuaIiIiIigcmeUREVOiM124hfs0vAAClsyNKTR0mc0RERETFB5M8IiIqdA8+/x4wmwEArhMHQuXhJm9ARERExQiTPCIiKlRpVyKR8OMuAIDSzRlu4wbIHBEREVHxwiSPiIgKVexnoYDFAgBwmzQISmdHeQMiIiIqZpjkERFRoUn78zoSNu4GACg9XOE6uq/MERERERU/TPKIiKjQxH65EhACAOA2eTCUTg4yR0RERFT8MMkjIqJCYfz7NhI27gEAKN1d4Tqit7wBERERFVNM8oiIqFA8XLzmvxE1x/TlVTwiIqICwiSPiIgKnOlODOJXbwcAKBwNcB3Fe/GIiIgKCpM8IiIqcI+WrYNITQMAuIzoBVUpF5kjIiIiKr6Y5BERUYGyxCciLnRL+oJWA7fxA+UNiIiIqJhjkkdERAUqbtXPsMQnAgCc+wdC7VNa5oiIiIiKNyZ5RERUYITJhEff/igt8yoeERFRwWOSR0REBSZx+0GYIqMAAIb2TaGtXlHmiIiIiIo/JnlERFRgHi5dJz12m/iijJEQERGVHEzyiIioQKScOI/UiD8AANoalWBo3VDmiIiIiEoGJnlERFQgHn23QXrsOm4AFAqFjNEQERGVHEzyiIgo35nuPkDC1l8BAEp3Vzi90FHmiIiIiEoOJnlERJTv4lduA4wmAIDLS92h1OtkjoiIiKjkYJJHRET5SphMePT9v5OfKxRwGdFL3oCIiIhKGCZ5RESUrxJ3HIb59l0AgENgC2gq+MocERERUcnCJI+IiPJV3PJN0mPXUS/IGAkREVHJxCSPiIjyjfHaLSQfOAkA0FQqB0ObRjJHREREVPIwySMionwTt3Kb9Nh5aA8olPyYISIiKmz89CUionwhjCbEr/0lfUGjhvPALvIGREREVEIViSRvyZIlqFixIvR6PRo2bIiDBw/mWn/VqlWoW7cuHBwc4Ovri5dffhkxMTGFFC0REWUncedhmO89AAA4dn4eas9SMkdERERUMsme5IWFhWHKlCl49913cfr0abRq1QpdunRBZGRktvUPHTqEYcOGYdSoUTh//jzWr1+PiIgIjB49upAjJyKizOJWbJUeuwztIWMkREREJZvsSd6CBQswatQojB49GgEBAVi4cCHKly+Pr7/+Otv6x44dg7+/P1599VVUrFgRzz//PMaNG4cTJ04UcuRERJTBeDMayfsiAADqCr4ccIWIiEhGsiZ5aWlpOHnyJAIDA63KAwMDceTIkWy3adGiBW7duoXt27dDCIE7d+7gxx9/RLdu3QojZCIiykb82l8AIQAALi9154ArREREMlLLefD79+/DbDbD29vbqtzb2xvR0dHZbtOiRQusWrUKAwcOREpKCkwmE3r27IlFixbleJzU1FSkpqZKy3FxcQAAo9EIo9GYD8+EMmScT55X+8J2s09Fpd2ExYK4jAFXFAro+3aUPaairKi0G+UN280+sd3sE9stZ7aeE1mTvAwKhcJqWQiRpSzDhQsX8Oqrr2LmzJkICgpCVFQU3nzzTYwfPx7BwcHZbjNv3jzMnj07S/muXbvg4ODw7E+AsggPD5c7BHoKbDf7JHe7Ofx1E5UiowAA8TX8sOtMBHBG1pDsgtztRk+H7Waf2G72ie2WVVJSkk31FEL8279GBmlpaXBwcMD69evRp08fqfy1117DmTNnsH///izbDB06FCkpKVi/fr1UdujQIbRq1Qq3b9+Gr69vlm2yu5JXvnx53L9/Hy4uLvn8rEo2o9GI8PBwdOrUCRqNRu5wyEZsN/tUVNot5vX5SAzbAQDwWPwuHPt0kC0We1BU2o3yhu1mn9hu9ontlrO4uDiULl0ajx49yjWPkfVKnlarRcOGDREeHm6V5IWHh6NXr17ZbpOUlAS12jpslUoFIP0KYHZ0Oh10Ol2Wco1GwxdOAeG5tU9sN/skZ7tZEpKQ9FP6D3JKZ0e49GgHJV9DNuHfm31iu9kntpt9YrtlZev5kP3O+KlTp+K7775DSEgILl68iNdffx2RkZEYP348AGD69OkYNmyYVL9Hjx7YuHEjvv76a1y7dg2HDx/Gq6++iiZNmqBMmTJyPQ0iohIp8ecDEEnJAADH3u2hNGT9QY2IiIgKl+z35A0cOBAxMTGYM2cOoqKiUKtWLWzfvh1+fn4AgKioKKs580aMGIH4+Hh89dVXeOONN+Dm5ob27dvjk08+kespEBGVWPFhv0iPXV7sImMkRERElEH2JA8AJk6ciIkTJ2a7LjQ0NEvZK6+8gldeeaWAoyIiotyYou8j+dBpAICmYjnoGteSOSIiIiICikB3TSIisk8Jm/dKc+M5vdAhx1GRiYiIqHAxySMioqeSsGm39NjphY4yRkJERESZMckjIqI8M17/B6mnLgIAtDWrQFvVX96AiIiISMIkj4iI8ixh0x7pMa/iERERFS1M8oiIKM/iM3fV5OTnRERERQqTPCIiypPUC1dhvHQdAKBvXAua8j4yR0RERESZMckjIqI8YVdNIiKioo1JHhER2UwIgYTN/yZ5SiUce7aTNyAiIiLKgkkeERHZLPXUBZhu3AYAGFo3hNrLXeaIiIiI6HFM8oiIyGYJGzN11ezNAVeIiIiKIiZ5RERkE2E2/9dVU6uBY/fW8gZERERE2WKSR0RENkk+cgbmuw8AAA4dmkLl6ixzRERERJQdJnlERGSThI3/zY3n3IejahIRERVVTPKIiOiJhMmExO0HAQAKBwMcglrKHBERERHlhEkeERE9Ucpv52B58AgA4NCxGZQOepkjIiIiopwwySMioidK3LZfeuzYjQOuEBERFWVM8oiIKFdCCCT+kt5VExo1HDo2kzcgIiIiyhWTPCIiylXq2T9h+ucuAMChdSOoXJxkjoiIiIhywySPiIhyZd1Vs5WMkRAREZEtmOQREVGuMkbVhEIBh6Dn5Q2GiIiInohJHhER5SjtrxswXv4bAKBvWgdqL3eZIyIiIqInYZJHREQ5Svz5gPSYXTWJiIjsA5M8IiLKkdRVE4BjV06dQEREZA+Y5BERUbaMt+4g9cwlAIC29nPQVPCVOSIiIiKyBZM8IiLKltVVPE6ATkREZDeY5BERUbYSt2e6H49dNYmIiOwGkzwiIsrCHPMQKUfPAgA0lcpBW72izBERERGRrZjkERFRFok7DgMWC4D0rpoKhULmiIiIiMhWTPKIiCiLxF84qiYREZG9YpJHRERWLEkpSN4fAQBQeblD1yBA5oiIiIgoL5jkERGRleRDpyBS0gAADoEtoFDyo4KIiMie8JObiIisJO0+Kj127NRcxkiIiIjoaTDJIyIiiRACSbuOpC9oNTC0biRvQERERJRnTPKIiEiSdvEaTP/cBQAYWtSD0slB5oiIiIgor5jkERGRRLqKB8AxsIWMkRAREdHTYpJHRESSpPD/7sdz6MQkj4iIyB4xySMiIgCA+cEjpJw4DwDQVPWDxr+MzBERERHR02CSR0REAICkvb8BFgsAwIGjahIREdktJnlERATgsfvx2FWTiIjIbjHJIyIiCJMp/UoeAKWLE/RNasscERERET0tJnlERISU43/A8igBAODQvgkUGrXMEREREdHTYpJHRERI2p15VE3ej0dERGTPmOQRERESM+7HUyjg0KGZvMEQERHRM2GSR0RUwhn/vg3jnzcAALpGNaHycJM1HiIiIno2TPKIiEq4zBOgO7KrJhERkd1jkkdEVMIlhme+H49TJxAREdk7JnlERCWYJTkVKUdOAwBUPqWhrVlZ5oiIiIjoWTHJIyIqwVKOnYVISQMAOLRvCoVCIXNERERE9KyY5BERlWAZE6ADgEO7JjJGQkRERPmFSR4RUQmW9Ovx9AdKJQxtGskbDBEREeULJnlERCWU6Z87/02d0CAAqlIu8gZERERE+YJJHhFRCZW097j0mF01iYiIig8meUREJZTUVRPpg64QERFR8cAkj4ioBBImE5IPnAAAKN2coatfXeaIiIiIKL8wySMiKoFST1+C5VECAMDQuhEUKpXMEREREVF+YZJHRFQCWU2dwK6aRERExQqTPCKiEsjqfrx2jWWMhIiIiPIbkzwiohLG/OARUk9fAgBoqleEuoyXzBERERFRfmKSR0RUwiTvPwFYLADYVZOIiKg4YpJHRFTCWHfV5Px4RERExQ2TPCKiEkQIISV5CoMO+mZ1ZI6IiIiI8huTPCKiEiTt4jWYo+8DAAwt6kOp18kcEREREeU3JnlERCVIcqaumgZ21SQiIiqWmOQREZUgSfsipMcOHTjoChERUXHEJI+IqISwpKQi5dhZAIC6rBc0lcvLHBEREREVBCZ5REQlRErEHxApaQAAQ5vGUCgUMkdEREREBYFJHhFRCZG8/4T02NCmkYyREBERUUFikkdEVEIkHzgpPTY830DGSIiIiKggMckjIioBzA/jkXrmEgBAW7My1F7uMkdEREREBYVJHhFRCZB86BQgBADA0KqhzNEQERFRQWKSR0RUAiQfyHQ/Xmvej0dERFScMckjIioBpEFX1CoYmteVNxgiIiIqUEzyiIiKOePNaBiv3QIA6BvVgtLJQeaIiIiIqCAxySMiKuasRtVsw/vxiIiIirsikeQtWbIEFStWhF6vR8OGDXHw4MFc66empuLdd9+Fn58fdDodKleujJCQkEKKlojIvmS+H8+B9+MREREVe2q5AwgLC8OUKVOwZMkStGzZEsuWLUOXLl1w4cIFVKhQIdttBgwYgDt37iA4OBhVqlTB3bt3YTKZCjlyIqKiT1gsSPo3yVM4OUBXP0DmiIiIiKigyZ7kLViwAKNGjcLo0aMBAAsXLsTOnTvx9ddfY968eVnq79ixA/v378e1a9fg7p4+z5O/v39hhkxEZDfSLl6D5f5DAIChZX0oNLK/7RMREVEBk/XTPi0tDSdPnsT//vc/q/LAwEAcOXIk2222bt2KRo0aYf78+fjhhx/g6OiInj17Yu7cuTAYDNluk5qaitTUVGk5Li4OAGA0GmE0GvPp2RAA6XzyvNoXtpt9sqXdEn49Lj3WtazPNi4C+Pdmn9hu9ontZp/Ybjmz9ZzImuTdv38fZrMZ3t7eVuXe3t6Ijo7Odptr167h0KFD0Ov12LRpE+7fv4+JEyfiwYMHOd6XN2/ePMyePTtL+a5du+DgwFHmCkJ4eLjcIdBTYLvZp9zazW/DDjj/+/g4EpC6fXvhBEVPxL83+8R2s09sN/vEdssqKSnJpnpFot+OQqGwWhZCZCnLYLFYoFAosGrVKri6ugJI7/LZr18/LF68ONuredOnT8fUqVOl5bi4OJQvXx6BgYFwcXHJx2dCRqMR4eHh6NSpEzQajdzhkI3YbvbpSe0m0oy49cpXEABU3h5oP2poju+tVHj492af2G72ie1mn9huOcvokfgksiZ5pUuXhkqlynLV7u7du1mu7mXw9fVF2bJlpQQPAAICAiCEwK1bt/Dcc89l2Uan00Gn02Up12g0fOEUEJ5b+8R2s085tVtyxHmI5BQAgKFNI2i12sIOjXLBvzf7xHazT2w3+8R2y8rW8yHrFAparRYNGzbMcik2PDwcLVq0yHabli1b4vbt20hISJDK/vrrLyiVSpQrV65A4yUisiecOoGIiKhkeqok7+bNmzh48CB27tyJU6dOWQ1qkldTp07Fd999h5CQEFy8eBGvv/46IiMjMX78eADpXS2HDRsm1R88eDA8PDzw8ssv48KFCzhw4ADefPNNjBw5MseBV4iISqKkzJOgt+Yk6ERERCWFzd01//77byxduhRr1qzBzZs3IYSQ1mm1WrRq1Qpjx45F3759oVTanjsOHDgQMTExmDNnDqKiolCrVi1s374dfn5+AICoqChERkZK9Z2cnBAeHo5XXnkFjRo1goeHBwYMGIAPPvjA5mMSERV3lvhEpJ66CADQVPWD2tdT5oiIiIiosNiU5L322mtYvnw5AgMDMWfOHDRp0gRly5aFwWDAgwcP8Mcff+DgwYOYMWMGZs+ejeXLl6Nx48Y2BzFx4kRMnDgx23WhoaFZyqpXr87RdoiIcpF85AxgNgMADK14FY+IiKgksSnJ02q1uHr1Kjw9s/4S7OXlhfbt26N9+/aYNWsWtm/fjr///jtPSR4REeWv5P2Z7sdrw/vxiIiIShKbkrxPP/3U5h127dr1qYMhIqL8kZQx6IpSCX3L+vIGQ0RERIXK5pvn6tWrh6+++gqxsbEFGQ8RET0jU/R9GP+8AQDQNQiAysVJ3oCIiIioUNmc5DVt2hTvvfceypQpg0GDBmHPnj0FGRcRET0lTp1ARERUstmc5C1btgzR0dH45ptvcOfOHQQGBsLf3x9z5syxGv2SiIjklbSfUycQERGVZHmaJ0+v12Po0KHYu3cvrly5gqFDhyI4OBiVKlVCUFAQ1q1bV1BxEhGRDYQQ0pU8hYMe+kY1ZY6IiIiICttTTYYOABUrVsTcuXNx48YNrF27FidOnMCgQYPyMzYiIsoj4+W/YY6+DwDQN6sLhU4rc0RERERU2GyeDD07v/76K5YvX46NGzdCrVZjzJgx+RUXERE9heQD/3XVdGBXTSIiohIpz0leZGQkQkNDERoaihs3bqBVq1ZYsmQJ+vfvD4PBUBAxEhGRjZIPnZIecxJ0IiKiksnmJG/16tVYvnw5fv31V3h7e2PYsGEYNWoUqlSpUpDxERGRjYTZLCV5ylIu0Nbi+zMREVFJZHOSN2LECHTr1g2bN29G165doVQ+9e18RERUAFLPXYblUQIAwNCyPhR8nyYiIiqRbE7ybt26BS8vr4KMhYiInkHywUxTJ7CrJhERUYllc5K3Y8eObMtdXV1RrVo1VK9ePd+CIiKivMs86ArnxyMiIiq5bE7yXnvttWzLExISYLFY0LVrV6xevRrOzs75FhwREdlGpBmR8tvvAACVryc0lcvLHBERERHJxeYbNmJjY7P9l5qaimPHjiEyMhKzZ88uyFiJiCgHKSfOQySnAgAMrRpAoVDIHBERERHJ5ZnvylcqlWjcuDE+//xz/PTTT/kRExER5RGnTiAiIqIM+Tb0WpUqVXDr1q382h0REeWB1STorRrIGAkRERHJLd+SvKtXr6JcuXL5tTsiIrKRJSkZKSfPAwA0lcpBXdZb5oiIiIhITjYPvJITIQROnz6NN954Az169MiPmIiIKA9SfzsHmMwA2FWTiIiI8pDklSpVKtsb+RMSEmA2m9G5c2e8//77+RkbERHZIOUg78cjIiKi/9ic5C1cuDDbchcXF1SvXh0BAQH5FRMREeVByuHT0mNDy3ryBUJERERFgs1J3vDhwwsyDiIiegqqhGQY/7gCANDWrAJV6VIyR0RERERysznJs1gssFgsUKv/2+TOnTtYunQpEhMT0aNHD7Rq1apAgiQiouw5/nkTEAIAYGjNrppERESUhyRv1KhR0Gg0+OabbwAA8fHxaNy4MVJSUuDr64svvvgCW7ZsQdeuXQssWCIisuZ4KVJ6bHieUycQERFRHqZQOHz4MPr16yctr1ixAiaTCZcvX8bZs2cxdepUfPrppwUSJBERZc/x4r9JnkoFQ4t6ssZCRERERYPNSd4///yD5557Tlres2cP+vbtC1dXVwDp9+ydP38+/yMkIqJsmaLuQR/9AACgaxAApZODzBERERFRUWBzkqfX65GcnCwtHzt2DM2aNbNan5CQkL/RERFRjlIzjarpwKkTiIiI6F82J3l169bFDz/8AAA4ePAg7ty5g/bt20vrr169ijJlyuR/hERElK2UQ5mmTmjF+/GIiIgonc0Dr8yYMQNdu3bFunXrEBUVhREjRsDX11dav2nTJrRs2bJAgiQiImtCCCnJU+i10DWqKXNEREREVFTYnOS1a9cOJ0+eRHh4OHx8fNC/f3+r9fXq1UOTJk3yPUAiIsrKdP0fmG/fBQBoG9WCUq+TOSIiIiIqKmxO8gCgRo0aqFGjRrbrxo4dmy8BERHRkyUdPCk91rOrJhEREWVi8z15RERUdCQfPCU91j9fX8ZIiIiIqKhhkkdEZGeExYLkQ+lX8swGLbS1q8ocERERERUlTPKIiOxM2sVrsMQ8AgAkVisPhVolc0RERERUlDDJIyKyM8mZ7sdLrF5BxkiIiIioKGKSR0RkZ5IP/JfkJQQwySMiIiJrNo2uOWfOnKfaedu2bdG6deun2paIiLISRhOSj5wBAChLl0JqmdLyBkRERERFjk1J3vXr159q5/Xq1Xuq7YiIKHupZy5BJCYDAPQt6wEKhbwBERERUZFjU5K3fPnygo6DiIhswKkTiIiI6El4Tx4RkR2xmgT9eU6CTkRERFkxySMishOW5FSkRvwBAFBX8IXar4zMEREREVFRxCSPiMhOpEScg0hNAwAYeBWPiIiIcsAkj4jITmS+H8/QuqGMkRAREVFRxiSPiMhOZJ4E3dCSg64QERFR9mxO8o4fPw6z2SwtCyGs1qempmLdunX5FxkREUnMcQlIPX0JAKCp5g+1D+fHIyIiouzZnOQ1b94cMTEx0rKrqyuuXbsmLT98+BCDBg3K3+iIiAgAkHL0LGCxAOD9eERERJQ7m5O8x6/cPb6cUxkRET275AP/ddV04P14RERElIt8vSdPoVDk5+6IiOhfyYf+TfKUSuhb8H48IiIiyhkHXiEiKuJM92KRdiG9e7yuTlWo3JxljoiIiIiKMnVeKl+4cAHR0dEA0rtmXrp0CQkJCQCA+/fv5390RESElEOZpk5oxa6aRERElLs8JXkdOnSwuu+ue/fuANK7aQoh2F2TiKgAJGWeOqEVB10hIiKi3Nmc5F2/fr0g4yAiohxI8+Np1NA3rSNvMERERFTk2Zzk+fn5PbHOmTNnbKpHRES2MUZGwXTjNgBA36gmlA56mSMiIiKiou6ZB1559OgRlixZggYNGqBhQ94rQkSUn5IPZrofj1MnEBERkQ2eOsnbu3cvhgwZAl9fXyxatAhdu3bFiRMn8jM2IqISLznz/XjPM8kjIiKiJ8vTwCu3bt1CaGgoQkJCkJiYiAEDBsBoNGLDhg2oUaNGQcVIRFQiCSGQfCD9xzOFgwH6BgEyR0RERET2wOYreV27dkWNGjVw4cIFLFq0CLdv38aiRYsKMjYiohIt7cJVmO/FAgAMLetBodXIHBERERHZA5uv5O3atQuvvvoqJkyYgOeee64gYyIiIkC6igcAhjaNZYyEiIiI7InNV/IOHjyI+Ph4NGrUCE2bNsVXX32Fe/fuFWRsREQlWtK+/5I8h7aNZIyEiIiI7InNSV7z5s3x7bffIioqCuPGjcPatWtRtmxZWCwWhIeHIz4+viDjJCIqUURqGlKOnQUAqHxKQ1PVX96AiIiIyG7keXRNBwcHjBw5EocOHcK5c+fwxhtv4OOPP4aXlxd69uxZEDESEZU4KSfOQySlAAAMrRtBoVDIHBERERHZi2eaJ69atWqYP38+bt26hTVr1uRXTEREJV7SvgjpsUMbTp1AREREtnvmydABQKVSoXfv3ti6dWt+7I6IqMSzGnSlNe/HIyIiItvZlOSNHz8eN2/etGmHYWFhWLVq1TMFRURUkpkfxiP1zJ8AAG1AJah9SsscEREREdkTm6ZQ8PT0RK1atdCiRQv07NkTjRo1QpkyZaDX6xEbG4sLFy7g0KFDWLNmDcqVK4dvvvmmoOMmIiq2kg+dAiwWAIChNbtqEhERUd7YlOTNnTsXr7zyCoKDg7F06VL88ccfVuudnZ3RsWNHBAcHIzAwsEACJSIqKZL3/3c/HufHIyIioryyeTJ0Ly8vTJ8+HdOnT8fDhw/x999/Izk5GaVLl0blypU58hsRUT5J3n8y/YFGDUPzuvIGQ0RERHbH5iQvMzc3N7i5ueVzKEREZIyMgvH6LQCAvlFNKJ0cZI6IiIiI7I3No2smJSVh0qRJKFu2LLy8vDB48GDcv3+/IGMjIipxrLtqclRNIiIiyjubk7xZs2YhNDQU3bp1w4svvojw8HBMmDChIGMjIipxkjK6agJw4P14RERE9BRs7q65ceNGBAcH48UXXwQADBkyBC1btoTZbIZKpSqwAImISgphsSD5YHqSp3Rxgq5eNZkjIiIiIntk85W8mzdvolWrVtJykyZNoFarcfv27QIJjIiopEk7dxmWB48AAIbn60OhfqrbpomIiKiEsznJM5vN0Gq1VmVqtRomkynfgyIiKomS9p+QHnPqBCIiInpaNv9MLITAiBEjoNPppLKUlBSMHz8ejo6OUtnGjRvzHMSSJUvw6aefIioqCjVr1sTChQutrhrm5PDhw2jTpg1q1aqFM2fO5Pm4RERFSfK+49JjQxtOgk5ERERPx+Ykb/jw4VnKhgwZ8swBhIWFYcqUKViyZAlatmyJZcuWoUuXLrhw4QIqVKiQ43aPHj3CsGHD0KFDB9y5c+eZ4yAikpMlIQnJx34HAKj9fKGpVF7miIiIiMhe2ZzkLV++vEACWLBgAUaNGoXRo0cDABYuXIidO3fi66+/xrx583Lcbty4cRg8eDBUKhU2b95cILERERWW5COnAWN693eHdk2gUChkjoiIiIjslc335BWEtLQ0nDx5EoGBgVblgYGBOHLkSI7bLV++HFevXsWsWbMKOkQiokKRtOe/rpoO7ZvKGAkRERHZO1mHbrt//z7MZjO8vb2tyr29vREdHZ3tNpcvX8b//vc/HDx4EGobR55LTU1FamqqtBwXFwcAMBqNMBqNTxk9ZSfjfPK82he2m/ySfv0t/YFaBXXT2ja1BdvNPrHd7BPbzT6x3ewT2y1ntp6TIjE+9+PdkoQQ2XZVMpvNGDx4MGbPno2qVavavP958+Zh9uzZWcp37doFBweHvAdMTxQeHi53CPQU2G7y0N59iKrX/wEAJFbyxY6D+/O0PdvNPrHd7BPbzT6x3ewT2y2rpKQkm+rJmuSVLl0aKpUqy1W7u3fvZrm6BwDx8fE4ceIETp8+jcmTJwMALBYLhBBQq9XYtWsX2rdvn2W76dOnY+rUqdJyXFwcypcvj8DAQLi4uOTzsyrZjEYjwsPD0alTJ2g0GrnDIRux3eQVH7oFsf8+LtO3MwK6drVpO7abfWK72Se2m31iu9kntlvOMnokPomsSZ5Wq0XDhg0RHh6OPn36SOXh4eHo1atXlvouLi44d+6cVdmSJUuwd+9e/Pjjj6hYsWK2x9HpdFZTP2TQaDR84RQQnlv7xHaTR2qm+fGcOzbPcxuw3ewT280+sd3sE9vNPrHdsrL1fMjeXXPq1KkYOnQoGjVqhObNm+Obb75BZGQkxo8fDyD9Ktw///yDFStWQKlUolatWlbbe3l5Qa/XZyknIrIHIs2I5IOnAAAqz1LQ1qoic0RERERk72RP8gYOHIiYmBjMmTMHUVFRqFWrFrZv3w4/Pz8AQFRUFCIjI2WOkoioYKQcPweRlAwAMLRrAoVS1kGPiYiIqBiQPckDgIkTJ2LixInZrgsNDc112/fffx/vv/9+/gdFRFQIkvZmmjqhXRMZIyEiIqLigj8ZExHJKGnvb9JjQ5vGMkZCRERExQWTPCIimZii7yPt/BUAgK5uNag9S8kcERERERUHTPKIiGSStC9CemxgV00iIiLKJ0zyiIhkkvxrpvvx2jeVMRIiIiIqTpjkERHJQJjN0pU8hZMD9I1qyhwRERERFRdM8oiIZJD6+1+wPHgEAHBo0wgKTZEY7JiIiIiKASZ5REQysBpVk/fjERERUT5ikkdEJIOk8KPSY96PR0RERPmJSR4RUSEz3YtF6qmLAABtQCVoyvvIHBEREREVJ0zyiIgKWdKeY4AQAACHjs1ljoaIiIiKGyZ5RESFzKqrZmALGSMhIiKi4ohJHhFRIRJGkzQ/ntLNGfpGNWSOiIiIiIobJnlERIUo5bffYYlPBAA4dGgGhZpTJxAREVH+YpJHRFSIEncdkR6zqyYREREVBCZ5RESFSLofT6mEA+fHIyIiogLAJI+IqJAYr92C8UokAEDfpDZUpVxkjoiIiIiKIyZ5RESFJDHzqJqdOHUCERERFQwmeUREhSQp/L/78Rx5Px4REREVECZ5RESFwJKQhOQjZwAA6vI+0FTzlzUeIiIiKr6Y5BERFYKkfRGA0QQAcOjUAgqFQuaIiIiIqLhikkdEVAiSdrGrJhERERUOJnlERAVMWCxI2n0MAKBw0EPfsp68AREREVGxxiSPiKiApZ79E+Z7DwAAhtaNoNTrZI6IiIiIijMmeUREBcyqqyanTiAiIqICxiSPiKiAJf5yUHrM+fGIiIiooDHJIyIqQMYbt5F2/ioAQNewBtS+njJHRERERMUdkzwiogKUuP2A9Nixa2sZIyEiIqKSgkkeEVEBSty2X3rs2K2VjJEQERFRScEkj4iogJjuxCDlxHkAgKaaP7SVK8gcEREREZUETPKIiApI4o5DgBAA2FWTiIiICg+TPCKiApL483/34zl1Y5JHREREhYNJHhFRATDHJSD50CkAgLqcN7R1qsocEREREZUUTPKIiApAUvhRwGgCADh2aQWFQiFzRERERFRSMMkjIioAmbtqOrKrJhERERUiJnlERPnMkpyKpD2/AQCU7q7QN60tc0RERERUkjDJIyLKZ8kHTkAkJQMAHINaQqFWyxwRERERlSRM8oiI8hm7ahIREZGcmOQREeUjYTIhcedhAIDCwQBDm0YyR0REREQlDZM8IqJ8lPLbOVgePAIAOHRoCqVeJ3NEREREVNIwySMiykcJP+2THrOrJhEREcmBSR4RUT4RZjMSt+4DACh0Wjh0ai5vQERERFQiMckjIsonyUfOwHzvAQDAoWMzqFycZI6IiIiISiImeURE+SRh0x7psVPvDjJGQkRERCUZkzwionwg0oxI3LYfQPqomuyqSURERHJhkkdElA+S9p+AJTYOAODYuSWUjgaZIyIiIqKSikkeEVE+SNicqatmH3bVJCIiIvkwySMiekaW5FQkbj8IAFC6OMGhXROZIyIiIqKSjEkeEdEzStpzDCIhCQDg2LUVFDqtzBERERFRScYkj4joGVmNqsmumkRERCQzJnlERM/AkpCEpPAjAAClhysMrRrKHBERERGVdEzyiIieQeLOwxDJqQAApx5todCoZY6IiIiISjomeUREz4AToBMREVFRwySPiOgpmR/GI2nvbwAAlU9p6JvVkTkiIiIiIiZ5RERPLfHnA4DRBABw6tUOCpVK5oiIiIiImOQRET21+PU7pcfsqklERERFBZM8IqKnYLwZjZTDpwEAmkrloGtYQ+aIiIiIiNIxySMiegoJ63dJj50HdoFCoZAxGiIiIqL/MMkjIsojIQTi1+2Qlp36B8oYDREREZE1JnlERHmUeuoCjFdvAgD0LetDU95H5oiIiIiI/sMkj4goj+LD/htwxXlAkIyREBEREWXFJI+IKA9EahoSNqdPgK4w6ODUs53MERERERFZY5JHRJQHidsPwhIbBwBw7NYaSicHmSMiIiIissYkj4goD+JW/yw9dnmpu4yREBEREWWPSR4RkY2MN6ORvP8EAEDtXwb6FvXkDYiIiIgoG0zyiIhsFL9mOyAEAMBlUDcolHwLJSIioqKH31CIiGwgzOb0JA8AlEo4D+oib0BEREREOWCSR0Rkg+QDJ2G6dQcA4NC+CdS+njJHRERERJQ9JnlERDaIW7FVeuzMAVeIiIioCGOSR0T0BKbo+0j85RAAQOXlDsegljJHRERERJQzJnlERE8Qv+pnwGwGALgM6QGFRi1zREREREQ5Y5JHRJQLYTYj7od/u2oqlXAe2kPegIiIiIiegEkeEVEukvYcg+mfuwAAh47NoCnnLXNERERERLljkkdElIu40C3SY5fhvWSMhIiIiMg2TPKIiHJgvP4PknYfAwCoy3nDoUNTmSMiIiIierIikeQtWbIEFStWhF6vR8OGDXHw4MEc627cuBGdOnWCp6cnXFxc0Lx5c+zcubMQoyWikuJRyEZACACAy4jeUKhUMkdERERE9GSyJ3lhYWGYMmUK3n33XZw+fRqtWrVCly5dEBkZmW39AwcOoFOnTti+fTtOnjyJdu3aoUePHjh9+nQhR05ExZklISl9VE0ACp0WLkM4Nx4RERHZB9mTvAULFmDUqFEYPXo0AgICsHDhQpQvXx5ff/11tvUXLlyIt956C40bN8Zzzz2Hjz76CM899xx++umnQo6ciIqz+PU7YYlPBAA49e0ElYebvAERERER2UjWyZ7S0tJw8uRJ/O9//7MqDwwMxJEjR2zah8ViQXx8PNzd3XOsk5qaitTUVGk5Li4OAGA0GmE0Gp8icspJxvnkebUvbDdrQgg8/OZHadlxRK8ieW7YbvaJ7Waf2G72ie1mn9huObP1nMia5N2/fx9msxne3tZDknt7eyM6OtqmfXz++edITEzEgAEDcqwzb948zJ49O0v5rl274ODgkLegySbh4eFyh0BPge2Wzun8DfhfSe8ynli1HHZH/gVE/iVzVDlju9kntpt9YrvZJ7abfWK7ZZWUlGRTPVmTvAwKhcJqWQiRpSw7a9aswfvvv48tW7bAy8srx3rTp0/H1KlTpeW4uDiUL18egYGBcHFxefrAKQuj0Yjw8HB06tQJGo1G7nDIRmw3a3dXvo2Ufx/7TRuFgK5tZI0nJ2w3+8R2s09sN/vEdrNPbLecZfRIfBJZk7zSpUtDpVJluWp39+7dLFf3HhcWFoZRo0Zh/fr16NixY651dToddDpdlnKNRsMXTgHhubVPbDcg9fwVpOyLAACo/Xzh0qMtFOoi8XtYjthu9ontZp/YbvaJ7Waf2G5Z2Xo+ZB14RavVomHDhlkuxYaHh6NFixY5brdmzRqMGDECq1evRrdu3Qo6TCIqQR4uCZMeu40bUOQTPCIiIqLHyf7tZerUqRg6dCgaNWqE5s2b45tvvkFkZCTGjx8PIL2r5T///IMVK1YASE/whg0bhi+//BLNmjWTrgIaDAa4urrK9jyIyP6Zbt9Fwsb0H52Ubs5wHtRV5oiIiIiI8k72JG/gwIGIiYnBnDlzEBUVhVq1amH79u3w8/MDAERFRVnNmbds2TKYTCZMmjQJkyZNksqHDx+O0NDQwg6fiIqRR99tAExmAOmTnyudODATERER2R/ZkzwAmDhxIiZOnJjtuscTt3379hV8QERU4pgfxSMudEv6glYD11EvyBsQERER0VOSfTJ0IqKiIC54kzT5ufOAIKh9SsscEREREdHTYZJHRCWeJTEZD5etS19QKlHqlZfkDYiIiIjoGTDJI6ISL+6HrbA8eAQAcOrTAZpK5WSOiIiIiOjpMckjohJNpKbh4eK10rLba0NkjIaIiIjo2THJI6ISLW71zzBH3wcAOHZtBV1AJZkjIiIiIno2TPKIqMSypKQi9osfpGW314fJGA0RERFR/mCSR0QlVtyKn2COugcAcAhqCX296jJHRERERPTsmOQRUYlkSUrBw4X/XcVzf3uUjNEQERER5R8meURUIsUt3wTzvQcAAMfubaCr/ZzMERERERHlDyZ5RFTiWOITEbtoVfqCQoFSb42UNyAiIiKifMQkj4hKnNhFq2GJ+W9ePI6oSURERMUJkzwiKlFM0ffxaGlY+oJGDfd3xsgbEBEREVE+Y5JHRCXKg/khEMmpAADXl/tA41dG5oiIiIiI8heTPCIqMdL+uoH4VT8DABRODig1lfPiERERUfHDJI+ISoyYmYsBiwUAUOqVl6DycJM3ICIiIqICwCSPiEqExPCjSNpzDACgLusF1/EDZI6IiIiIqGAwySOiYk+kGREzY5G07D5rApQOehkjIiIiIio4TPKIqNh7FLwBxqs3AQD6JrXh1LuDzBERERERFRwmeURUrJmi7+PB/OXpCwoFSn/0GhQKhbxBERERERUgJnlEVKzdf28RREISAMD5pW7Q1a0mc0REREREBYtJHhEVW0l7f0Pilr0AAKWHKzxmjJc5IiIiIqKCxySPiIolS0oq7r39hbTs8f4kqNxdZYyIiIiIqHAwySOiYin20+Uw3fgHAKBvXhfOAzvLHBERERFR4WCSR0TFTsqZS3i4eG36glYDz0/f4GArREREVGIwySOiYkWkGXHv1XmA2QwAcH9jBLTVKsocFREREVHhYZJHRMVK7BcrkHbxGgBAW+s5uL0yWOaIiIiIiAoXkzwiKjZSTp5H7Bc/pC+oVfD6v+lQaNTyBkVERERUyJjkEVGxYElIwt0JH0jdNEu9Pgy62s/JHBURERFR4WOSR0TFQsysxTBevwUA0DWsgVKvD5M5IiIiIiJ5MMkjIruXsG0/4lZsBQAoHAzwWvweu2kSERFRicUkj4jsmvHGbdx77WNpufQHk6GtXF7GiIiIiIjkxSSPiOyWSE3DndEzYYlLAAA49W4P5yE9ZI6KiIiISF5M8ojIbt2fuRipZ/8EAGgqlYPngrc46TkRERGVeEzyiMguxa3+GXEhGwEACp0W3t/NgdLZUeaoiIiIiOTHJI+I7E7KyfO49+bn0nLpT6ZyugQiIiKifzHJIyK7Yoq+j+gR7wFpRgCAy8gX4PJSN5mjIiIiIio6mOQRkd2wJCQhavBbMEffBwDom9dF6Q9ekTkqIiIioqKFSR4R2QVh+v/27js6yir/H/j7mZZJMklISCEISehlkUhRCUpvCipYvii6CwpGcUFRllVRFNEjLKuL6CKKBxAsqy6yICj8ICKhu5SlExOF0CQB0utMptzfH5eZySSTkISEKbxf58xJ5j73PvO5c+fCfHKfYsHFp95AxdFfAQCauFjELHuL98MjIiIiqoJJHhF5PSEEcl55H2UpewAAqjADYr/6OzRR4R6OjIiIiMj7MMkjIq+XP38Zij5dK59oNWix4m3oOiZ4MiQiIiIir8Ukj4i8WsGSVcj/x0rH8+gPZiLwzp4ejIiIiIjIuzHJIyKvVfTZOuTO+sDxPHLuNIQ8NNyDERERERF5PyZ5ROSVij5fj8t/ecfxPPyvTyAs+SEPRkRERETkG3hZOiLyOkWfr8Pl6c4Er9nUcQj/6xMejIiIiIjId3Alj4i8SsGHX7kkeGFTHkHE689AURQPRkVERETkO7iSR0ReQQiBvHlLUfDeZ46ysCmPoPnsPzPBIyIiIqoHJnlE5HGiwozLf3kHxV9vdJRFzExGsxf+xASPiIiIqJ6Y5BGRR1mLSnBx4mso37bfURY5dxovskJERETUQEzyiMhjKk6eQ/b4mTBnnAEAKAE6RH84C4bRgzwcGREREZHvYpJHRB5RtuW/uPj0G7AVlgAAVBFhaPHZXATe3t3DkRERERH5NiZ5RHRdCasV+f9Yifx3VwBCAAC0ndsgduVcaNu28mxwRERERH6ASR4RXTeWi7m49Oe3UL79gKMseGQ/RH84CypDkAcjIyIiIvIfTPKIqMkJIVCydgtyXnoPtvwiWahWI2Lmk2j27KNQVLxlJxEREVFjYZJHRE3KmpOPyy8uQOn6VEeZOqY5Yj55A4F9b/FUWERERER+i0keETWZkh+24/KMd2DLKXCUBY8ejKj5L0DdvJnH4iIiIiLyZ0zyiKjRmc9cQO7sD1H6w3ZHmSoiDFHzp8MwZrAHIyMiIiLyf0zyiKjR2ErLkf/+Fyhc/DWEqcJRHnT3nYh696/QREd4MDoiIiKiGwOTPCK6ZkIIlKzZgtw3FsOaddlRro6OQPM5U2B4cBgURfFghEREREQ3DiZ5RNRgQgiUbdqFvL8vR8XRX50btBo0mzwW4S+Mhyok2HMBEhEREd2AmOQRUb0JIVCWshv5f/8UpsPpLtuChiWh+VtToWsX56HoiIiIiG5sTPKIqM6ExYLSH3ag4MOvYDqY5rJN170jImYmI3hoHw9FR0REREQAkzwiqgNrXiGKPl+PwuVrYL1wyWWb7uYOiHhxIoJG3MHz7oiIiIi8AJM8InJLCAHTwTQUffE9Sr7dDFFuctmu+0N7RLz4BILu7sfkjoiIiMiLMMkjIheW7BwUr9qE4q83wpxxxnWjoiBoeF+EPfUQAvv1YnJHRERE5IWY5BERrHmFaLbzKC59uR3GbfsBm81lu2IIQuijoxA26QFo27byUJREREREVBdM8ohuUJbsHJRu2IHS71NRvvsQWlltMFapo++TiJCH74Jh9CDeCoGIiIjIRzDJI7pBiAozjHuPouynvSjbuhcVx351W0/TugVCxo5AyNi7uGpHRERE5IOY5BH5KWG2wHQ4HeU/H4Zx9yGU7zoEUVbutq4mPhZZnVuh27OPI/jWblBUquscLRERERE1FiZ5RH7Ckp0D05F0mA6lw/jfIzDuPw5RVvUATKeAxE4IGtoHwfcMhNIxDoc2bkSvnl2Y4BERERH5OCZ5RD5GCAHrxVyYDqe7PKwXc2ttp46KQOCgWxE06DYEDrgVmqhwxzaz2dzUYRMRERHRdcIkj8hLCZsNlt8vwZxxBhUZmajIOCN///UMbPlFV22vuSka+qRE6PskIrBPd2g7xHOVjoiIiOgGwCSPyINsZUZYzmXBfCYLlrNZMJ+98vNMFsynztV6uGVlqjADAhI7yUf3Tgjo1RXa1i2aOHoiIiIi8kZM8oiagLDZYM0pgDU7B5bsHFgv5sByMRfW7Fz5PDsHlguXYb2cV+99q2OjoOsYj4DuHWVCl9gJmoSWvDE5EREREQHwkiRv8eLFeOedd5CVlYU//OEPWLhwIfr161dj/W3btmH69Ok4fvw4WrZsiRdffBGTJ0++jhE3LpsNOHsWKC4GQkKAuDigsY6qu9Z919S+ogL47jvg3DmgdWvg3nuB7GygsFC2s1iA33+v3q6x+upuPwBw+jSQkSF/79hRlp896yxr317+/O03uQ+DAQgLk49WrZx1rVagqAjIywMMgRbckViG1hElEIVFMF8uRPreQpT+XgRVcQH0FUXQlhYixFYIXVkhrHmFsFzKg2K11r9jVwiVGspNsQjsEg9jC/kI7BKPm/rG42yeAVt3AOfPA/pfgS4aoKtw7asQQGAgUFIC5OYC0dFAhw7OvgsBBAc7+x4TI7edOCHfTwAoLZW/t2wJ7N0rx1cI+R6GhbnWaczP7PXUlHOPCKj53yoiIqKm5PEk75tvvsHzzz+PxYsX44477sCSJUtw991348SJE4hz879hZmYmRo4cieTkZHzxxRfYtWsX/vznPyMqKgoPPvigB3pwbdLSgDVrgF9+AYxGQK8HOncG7r8f6NLFs/uuqb3RCPzrX/JLv9UKKIrc1qED0K4d8PDDwEMPARoNEBDgbNe9O3DkyLX31V1cERFAXq5A2lEzyvJM0AsjmgUaYdCaoJhMgNEIjcUIjdWEAJighxE6azlClDI015ciOqgEWnMZtBWl0JlLEWgtRYJSim5KGYIUecjk+UoxhF95VFVx5edV19RUKqijwqGJi4U2LhaauFjkaGOx41RLHL4ci8uIQrlZg/LLQGAJEHAOMO0EzswCzpyRXxhtNrkrrRaIigIiIwGTSSbaxcUyEb/yUtBonA8AMJtleWSkTG4DA4GnngJmzZLJIyATv4oK+QW1pAQoL5fjrdcDoaHO5DA6uvE+s9dTU849IqDmz9h993k6MiIi8nceT/IWLFiASZMm4cknnwQALFy4EJs2bcJHH32EefPmVav/8ccfIy4uDgsXLgQAdOnSBfv378e7777rc0leWhrwwQdATo5cDQsOlisjBw/KFbLnnqv/l00hBCAEfjluw6JFQG6OQOtWNgQHAWWlAsf32ZB9CnjmaRs6dhSAgMwWrrQTNvnz13QbPl1mQ2GuFe1aWBEcaoWx1IZ9X1px+pQN4YoF8cE2aFRWlJfaIEqtCDhmQ4wwIeTgb4g6th16nYIuHawIqLAi6z9W/LjUhshmVgyMtUGvscJSaEHJL2bs/39mqHuaERFqgTCZIcxmoMIMYXY+F1eelxWYkXfBjP4VZgxXm6G1maFUGKGqMEEnTFArNuebcbXT2dRXflbAmZ1V3VZPZqFGgQhDDprjojUSl0QkLtuaIweRKAuORIk+Eq17NMf0t8LRpZvzRVw+C3FAszLgxG65khgRIT8Hhw/LBMw+XIoiH2azXDXNypJJtU4nv1BaLHK7VutM0OwJn14v95OVBVy65FyZO39efgaFkIliTo7cFyDb6HRyhbOoSO5TUWSidy2fWU9oirlHVFltn7ELF4BhwzwdIRER+TOPJnkVFRU4cOAAXn75ZZfy4cOHY/fu3W7b7NmzB8OHD3cpGzFiBJYtWwaz2QytVttk8TYmm03+hTcnBxhq+C/u+HYuAAFFyCTFahHAehsyA+T5XTIJAyBsLskYhAAq/36FDsD02gL4Djhdy2YdgKfdlI8DAEPljgAIvPIAgEwAHwKvYS1QBmBflR0UAzjnZsdpQGFt8V6hAlDj5UQa6ZQ0m1BQgmCUiCCUiGCUiGCUq4JRYA5GgQhFuTYMOZYwFIpQFKubIV+E4pIxDLnWMJSIICiK4kimtFpAKHKFLVANxIYDv/8G/Oc7YGZX5yGs9s9C164yhsOHZZLWtq0s37sXuHzZOcz25A1wrtjZbPJ17HdD0Ghkmf25osjn9tXXkBB5KGdFhfNwzdxcICFB/n7ggIxBr5eJnhCyvUYjy41GmeidPw/ccYf8Urt2LdCpk3cf8lj1/bafyhgaKp+fOOEb/SDvdbXP2K+/OusRERE1BY8meTk5ObBarYixf8O8IiYmBtnZ2W7bZGdnu61vsViQk5OD2NjYam1MJhNMJpPjeVGRvPy82Wz22P3Bzp6V50YlJACay+UILHdzAQ4LYDNVL77R2RQVbGotrGotrIoWxWY9ymw6mBQ9TAgAAvQoMAWgzBoAkxKAclsAyoUeFUoAKlQBKDEHoEzoYdUEwBoYjEulwSiwBKNcFYRCSzDKhB4arQoqlUxsrFZArQbMV06xU1vkc63WmQSYVIDZBIToLLBYZFlgoKwHyBU2e8IkhDxsNTPTeR6d/bOgVjsPt4yKku1CQ2WCp1bLfdpzeXuSp6606mj/MqlSyXIhnEmeWu1czVOrXfdXUSEr6XTyZ0WF3L9OJ+uHhjqTQ4NBtrFYZPviYrlCER8vv7za++Wtqr7fVflKPwDn/Q15n0PvcrXPWOvWcrzOnDGjTZvrGxs1HOebb+K4+SaOW83q+p54/HBNANWuCiiEqPVKge7quyu3mzdvHubMmVOtfPPmzQgKCqpvuI1m9Gj5MzjtDCp+Dr1y/B0goAAq2RdxpcxxbJ6jzFkuFADV2lRq57bNlffK/pqVt0OBUCmASgWhUiDUKtlGrXKWqVSA/afaTdmVn3K7vaxKPY0aQq2G0KggNGrYNOpqZaJymVbtiKEm9u9Tza88amaFXGosA3C5HqPWeI4dkw/A+Vmw69//+scDAP/4R8o176Nyv7xV1ffbHV/oh11KyrWPGzWuunzG0tJSkJbW9LFQ4+J8800cN9/EcauurKysTvU8muRFRkZCrVZXW7W7dOlStdU6uxYtWritr9Fo0Ly5+6/1M2fOxPTpzoMXi4qK0Lp1awwfPhyhoaHX2IuGOXsWePttoHnzK1czfPQZl+32Kzu++mr9VxOq7buKq+27pva//AL88IP8y7RKJVd0Skrk7yqVPFRQrTZj2bIUfPLJMBQXa2E0ArfcAhw65Dw0sV8/5zlgAFCUX7e+uoursBDYskUeFqXRyBWm2Fh5CGF5uXxNq9W5GqdWyzhtNrlKFhIi92E2y20Wi9yHfZXOZSWv0opYtZU8k3zodHC7kme1yvKEBLnPTp2AuXOdK3mV+1VYCOzYIdsHBMjxOnnSGXfVlbyKSucT1nUlz9734mJZJyzMjIULU/CXvwxDy5ZaVFTI8VYU5/jaV/Ls+7VYgDZt5Pver5/c1tDP7PV0rfPDm5jNZqSkpGDYsGE+c6j6jeBqn7HSUjP69k1Bly7D0KYNx81XcL75Jo6bb+K41cx+ROLVeDTJ0+l06NWrF1JSUnD//fc7ylNSUjC6hj+DJiUlYf369S5lmzdvRu/evWv8EAQEBCAgIKBauVar9dgHp00beSn6gwddz9kA5BfoM2eAnj1lvfqeF3St+66pfbt2sn5hoeshexUV8ot+WZk8rA8ATCYtcnK0iI0FWrSQ9TMyZHJjMDjPRalPX93FZTDIC5P8/ruMKzJSJjAajUzyLBb5u/1iJJWTHvs5a0aj7ENAgDORMpud57ApirxoQnm5bBca6kzqtFq5T6PReU6cPTGy2ZzbTSaZtBmN8nW7d3f2t2q/DAb5xTArS/anqEiWlZU5X0dRnMlk5STPnpDZVU4K7e+3Wi1jsFqdF2SJirLvSwtAC51OvgeVz8nT6+Xr2t9X+3vSsqX8PS2t4Z/Z66kp556nePLfMqruap+xc1fOS46P57j5Is4338Rx800ct+rq+n54/CvM9OnTsXTpUixfvhxpaWl44YUXcPbsWcd972bOnInx48c76k+ePBlnzpzB9OnTkZaWhuXLl2PZsmWYMWOGp7rQICqVvFR7ZKS80ENhofziXFgon0dGAmPGNOxL5rXuu6b2JSVXziHUyKSlrMx5lcbSUlneo4fcx+nT8nmHDnK1SKuVq3cajUxaGtJXd3FZrfLKdfYExGaTiUdoqHMlTqWSl/nX66sneEVF8vegIFk3IEDGal95s7c3mWT7oCCZJOl0so7RKB9qtUzM7AmUXu+6XaWSbSsqgD/8AXjgAWd/q/arqEi+bxoNcOqU/HnbbTIRsx9Va09W7VfQtO8nIEAmXID7VUn7Cp/NJsfFfl6e/QqazZvL5DIrS66IBgY6E9fKV/MEZB8DA4GbbpIJ3rV8Zq+nppx7RMDVP2MREc56RERETcHj5+Q9/PDDyM3NxZtvvomsrCx069YNGzZsQHx8PAAgKysLZ8+eddRv06YNNmzYgBdeeAEffvghWrZsiQ8++MDnbp8AyEu0P/ec8z5Kv/8uvzj37Cm/ZF7LJdyvdd81tR87ViZRle+Tp1IBzZrJv1zbj7Lt3FkmEHl5st3AgcDNNzvvk9fQvtYU10MPyStDHj0KXLwo69qTP6PRmZBWvgiC/V5x0dHyXnEmk4w3NxcoKHAenqhSAeHh8pLnffrI105Lc65i2g9dbdVKHt53+bL8S31+vuv2mBj5Pjz1VPX+Vu2X0ShXA2JjnRdrSUyUcZw+7bxPnj2Ji4qSD6PRmfxWvk+eTifr2ftfte/2U1NbtXK9T15cnOxLcbFzBS8szHmfvOhoWbcxPrPXU1POPSKg9s/YvffKQ7CJiIiaiiJE5YO5bgxFRUUICwtDYWGhx87Jq8xmk+dwFBfL1aC4uMb7C++17rum9hUVwHffyQSgdWv5pSU7GygsNOP06Q0YPnwkLl7UVmvXWH11tx9AJkAZGfL3jh2d57zZy9q3lz9/+03uw2CQyUpYmExw7HWtVue5WQaDvEVA27YyVosF+PlnZ5IbHCxX2zp2lCudNpvrdoNBJlf27bX1t2q/7ElX5eenT8tz9s6fl18au3SRh4RV7qsQcpWtpEQmrdHRcnXQ3nchZNz2vsfEmLF58wYkJIxESIg8DKC0VL5my5byFg7Z2bJd+/bOcyrtdRrzM3s9NeXcux7MZjM2bNiAkSNH8nAWL+XuM2a1ctx8Eeebb+K4+SaOW83qmsd4fCWP5JdK+73JvG3fNbXX6YD/+z/XsoQEuUJkP1TTXbvG6mtN+2nbVj6uVmZP9urSviqNBrjzztpjq217bdz1q+rz9u2vLX53be2HYHbt6rygS2UN7Y+3a8q5RwS4/4xZrR4JhYiIbiA+9DdrIiIiIiIiuhomeURERERERH6ESR4REREREZEfYZJHRERERETkR5jkERERERER+REmeURERERERH6ESR4REREREZEfYZJHRERERETkR5jkERERERER+REmeURERERERH6ESR4REREREZEfYZJHRERERETkR5jkERERERER+REmeURERERERH6ESR4REREREZEfYZJHRERERETkR5jkERERERER+REmeURERERERH6ESR4REREREZEfYZJHRERERETkR5jkERERERER+REmeURERERERH6ESR4REREREZEfYZJHRERERETkR5jkERERERER+REmeURERERERH6ESR4REREREZEfYZJHRERERETkR5jkERERERER+REmeURERERERH6ESR4REREREZEfYZJHRERERETkR5jkERERERER+REmeURERERERH5E4+kAPEEIAQAoKirycCT+x2w2o6ysDEVFRdBqtZ4Oh+qI4+abOG6+iePmmzhuvonj5ps4bjWz5y/2fKYmN2SSV1xcDABo3bq1hyMhIiIiIiKqn+LiYoSFhdW4XRFXSwP9kM1mw4ULFxASEgJFUTwdjl8pKipC69atce7cOYSGhno6HKojjptv4rj5Jo6bb+K4+SaOm2/iuNVMCIHi4mK0bNkSKlXNZ97dkCt5KpUKrVq18nQYfi00NJST0gdx3HwTx803cdx8E8fNN3HcfBPHzb3aVvDseOEVIiIiIiIiP8Ikj4iIiIiIyI8wyaNGFRAQgNmzZyMgIMDToVA9cNx8E8fNN3HcfBPHzTdx3HwTx+3a3ZAXXiEiIiIiIvJXXMkjIiIiIiLyI0zyiIiIiIiI/AiTPCIiIiIiIj/CJI/qZfv27bj33nvRsmVLKIqCtWvXXrXNtm3b0KtXL+j1erRt2xYff/xx0wdKLuo7bqmpqVAUpdrjl19+uT4BE+bNm4dbb70VISEhiI6OxpgxY5Cenn7VdpxvntWQceN887yPPvoI3bt3d9yTKykpCRs3bqy1Deea59V33DjXvNO8efOgKAqef/75WutxztUPkzyql9LSUiQmJmLRokV1qp+ZmYmRI0eiX79+OHjwIF555RU899xzWL16dRNHSpXVd9zs0tPTkZWV5Xh06NChiSKkqrZt24YpU6bg559/RkpKCiwWC4YPH47S0tIa23C+eV5Dxs2O881zWrVqhb/97W/Yv38/9u/fj8GDB2P06NE4fvy42/qca96hvuNmx7nmPfbt24dPPvkE3bt3r7Ue51wDCKIGAiDWrFlTa50XX3xRdO7c2aXs6aefFn369GnCyKg2dRm3rVu3CgAiPz//usREV3fp0iUBQGzbtq3GOpxv3qcu48b55p3Cw8PF0qVL3W7jXPNetY0b55p3KS4uFh06dBApKSliwIABYtq0aTXW5ZyrP67kUZPas2cPhg8f7lI2YsQI7N+/H2az2UNRUV316NEDsbGxGDJkCLZu3erpcG5ohYWFAICIiIga63C+eZ+6jJsd55t3sFqt+Prrr1FaWoqkpCS3dTjXvE9dxs2Oc807TJkyBaNGjcLQoUOvWpdzrv40ng6A/Ft2djZiYmJcymJiYmCxWJCTk4PY2FgPRUa1iY2NxSeffIJevXrBZDLh888/x5AhQ5Camor+/ft7OrwbjhAC06dPx5133olu3brVWI/zzbvUddw437zD0aNHkZSUBKPRCIPBgDVr1qBr165u63KueY/6jBvnmvf4+uuv8b///Q/79u2rU33OufpjkkdNTlEUl+dCCLfl5D06deqETp06OZ4nJSXh3LlzePfdd/kfoQdMnToVR44cwc6dO69al/PNe9R13DjfvEOnTp1w6NAhFBQUYPXq1ZgwYQK2bdtWY8LAueYd6jNunGve4dy5c5g2bRo2b94MvV5f53acc/XDwzWpSbVo0QLZ2dkuZZcuXYJGo0Hz5s09FBU1RJ8+ffDrr796OowbzrPPPot169Zh69ataNWqVa11Od+8R33GzR3Ot+tPp9Ohffv26N27N+bNm4fExES8//77butyrnmP+oybO5xr19+BAwdw6dIl9OrVCxqNBhqNBtu2bcMHH3wAjUYDq9VarQ3nXP1xJY+aVFJSEtavX+9StnnzZvTu3RtardZDUVFDHDx4kIdDXEdCCDz77LNYs2YNUlNT0aZNm6u24XzzvIaMmzucb54nhIDJZHK7jXPNe9U2bu5wrl1/Q4YMwdGjR13KnnjiCXTu3BkvvfQS1Gp1tTaccw3gqSu+kG8qLi4WBw8eFAcPHhQAxIIFC8TBgwfFmTNnhBBCvPzyy+JPf/qTo/6pU6dEUFCQeOGFF8SJEyfEsmXLhFarFd9++62nunBDqu+4vffee2LNmjUiIyNDHDt2TLz88ssCgFi9erWnunDDeeaZZ0RYWJhITU0VWVlZjkdZWZmjDueb92nIuHG+ed7MmTPF9u3bRWZmpjhy5Ih45ZVXhEqlEps3bxZCcK55q/qOG+ea96p6dU3OuWvHJI/qxX754aqPCRMmCCGEmDBhghgwYIBLm9TUVNGjRw+h0+lEQkKC+Oijj65/4De4+o7b/PnzRbt27YRerxfh4eHizjvvFD/88INngr9BuRsvAOLTTz911OF88z4NGTfON8+bOHGiiI+PFzqdTkRFRYkhQ4Y4EgUhONe8VX3HjXPNe1VN8jjnrp0ixJWzFomIiIiIiMjn8cIrREREREREfoRJHhERERERkR9hkkdERERERORHmOQRERERERH5ESZ5REREREREfoRJHhERERERkR9hkkdERERERORHmOQRERERERH5ESZ5RETkc9LT09GiRQsUFxc3+WudPn0aiqLg0KFDTf5a3m7gwIF4/vnnHc8TEhKwcOHCOrdftGgR7rvvvsYPjIiIXDDJIyKiOrt06RKefvppxMXFISAgAC1atMCIESOwZ88eRx1FUbB27dpqbZ9//nkMHDgQAHDvvfdi6NChbl9jz549UBQF//vf/2qM49VXX8WUKVMQEhLiKPv3v/+NW265BUFBQYiPj8c777xTY/tdu3ZBo9HglltucSl//PHHMWbMmBrb3ShSU1OhKAoKCgpcyv/zn//grbfeavB+k5OTsW/fPuzcufMaIyQiotowySMiojp78MEHcfjwYaxcuRIZGRlYt24dBg4ciLy8vHrtZ9KkSfjpp59w5syZatuWL1+OW265BT179nTb9vz581i3bh2eeOIJR9nGjRvx2GOPYfLkyTh27BgWL16MBQsWYNGiRdXaFxYWYvz48RgyZEi9YvYGFRUVHn39iIgIl8S6vgICAvDoo4/in//8ZyNGRUREVTHJIyKiOikoKMDOnTsxf/58DBo0CPHx8bjtttswc+ZMjBo1ql77uueeexAdHY0VK1a4lJeVleGbb77BpEmTamz773//G4mJiWjVqpWj7PPPP8eYMWMwefJktG3bFqNGjcJLL72E+fPnQwjh0v7pp5/Go48+iqSkJJfyN954AytXrsR3330HRVGgKApSU1Md20+dOoVBgwYhKCgIiYmJLquX7iiKgo8++gh33303AgMD0aZNG6xatcqlzu+//46HH34Y4eHhaN68OUaPHo3Tp087tttXFufNm4eWLVuiY8eOAGSi+8gjjyAiIgLBwcHo3bs3/vvf/zrarV+/Hr169YJer0fbtm0xZ84cWCwWl9iWLl2K+++/H0FBQejQoQPWrVsHQB6eOmjQIABAeHg4FEXB448/DqD64ZpVFRYW4qmnnkJ0dDRCQ0MxePBgHD582KXOfffdh7Vr16K8vLzW94+IiBqOSR4REdWJwWCAwWDA2rVrYTKZrmlfGo0G48ePx4oVK1ySsFWrVqGiogKPPfZYjW23b9+O3r17u5SZTCbo9XqXssDAQJw/f95ltfDTTz/FyZMnMXv27Gr7nTFjBsaOHYu77roLWVlZyMrKQt++fR3bX331VcyYMQOHDh1Cx44dMW7cOJfEyZ3XXnvNsfr5xz/+EePGjUNaWhoAmdAOGjQIBoMB27dvx86dO2EwGHDXXXe5rNht2bIFaWlpSElJwffff4+SkhIMGDAAFy5cwLp163D48GG8+OKLsNlsAIBNmzbhj3/8I5577jmcOHECS5YswYoVK/D222+7xDZnzhyMHTsWR44cwciRI/HYY48hLy8PrVu3xurVqwHIcx+zsrLw/vvv19pPABBCYNSoUcjOzsaGDRtw4MAB9OzZE0OGDHFZ6e3duzfMZjP27t171X0SEVEDCSIiojr69ttvRXh4uNDr9aJv375i5syZ4vDhwy51AIg1a9ZUaztt2jQxYMAAx/O0tDQBQPz000+Osv79+4tx48bVGkNiYqJ48803XcqWLFkigoKCxI8//iisVqtIT08XnTt3FgDE7t27hRBCZGRkiOjoaJGeni6EEGL27NkiMTHRZT8TJkwQo0ePdinLzMwUAMTSpUsdZcePHxcARFpaWo1xAhCTJ092Kbv99tvFM888I4QQYtmyZaJTp07CZrM5tptMJhEYGCg2bdrkiCcmJkaYTCaXvoaEhIjc3Fy3r9uvXz8xd+5cl7LPP/9cxMbGusQ2a9Ysx/OSkhKhKIrYuHGjEEKIrVu3CgAiPz/fZT8DBgwQ06ZNczyPj48X7733nhBCiC1btojQ0FBhNBpd2rRr104sWbLEpSw8PFysWLHCbfxERHTtuJJHRER19uCDDzpWkEaMGIHU1FT07Nmz2mGXddG5c2f07dsXy5cvBwCcPHkSO3bswMSJE2ttV15eXm3VLjk5GVOnTsU999wDnU6HPn364JFHHgEAqNVqWK1WPProo5gzZ47jkMf66t69u+P32NhYAPJCNLWpekhoUlKSYyXvwIED+O233xASEuJYJY2IiIDRaMTJkycdbW6++WbodDrH80OHDqFHjx6IiIhw+5oHDhzAm2++6dinwWBAcnIysrKyUFZW5rY/wcHBCAkJuWp/anPgwAGUlJSgefPmLq+dmZnp0h9ArrJWjoWIiBqXxtMBEBGRb9Hr9Rg2bBiGDRuG119/HU8++SRmz57tOG8rJCQEhYWF1doVFBQgLCzMpWzSpEmYOnUqPvzwQ3z66aeIj4+/6gVRIiMjkZ+f71KmKArmz5+PuXPnIjs7G1FRUdiyZQsAeZn/4uJi7N+/HwcPHsTUqVMBADabDUIIaDQabN68GYMHD671dbVarcvr2fdRX5Xb9urVC19++WW1OlFRUY7fg4ODXbYFBgbWun+bzYY5c+bggQceqLatcnJcuT/2uBrSn8qvGxsb63Ieo12zZs1cnufl5bn0kYiIGheTPCIiuiZdu3Z1uWVC586dsW/fPkyYMMFRJoTAgQMHcPfdd7u0HTt2LKZNm4Z//etfWLlyJZKTkx1JUE169OiBEydOuN2mVqtx0003AQC++uorJCUlITo6GjabDUePHnWpu3jxYvz000/49ttv0aZNGwCATqeD1Wqtc9+v5ueff8b48eNdnvfo0QMA0LNnT3zzzTeOi5TUVffu3bF06VLk5eW5Xc3r2bMn0tPT0b59+wbHbV85rM970bNnT2RnZ0Oj0SAhIaHGeidPnoTRaHS8D0RE1Ph4uCYREdVJbm4uBg8ejC+++AJHjhxBZmYmVq1ahb///e8YPXq0o96MGTOwbNkyLFq0CBkZGTh8+DCmTp2KkydPYsqUKS77NBgMePjhh/HKK6/gwoULjtXA2tjvy1c5AcnJycHHH3+MX375BYcOHcK0adOwatUqx426VSoVunXr5vKIjo6GXq9Ht27dHKtlCQkJOHLkCNLT05GTkwOz2XxN79mqVauwfPlyZGRkYPbs2di7d69jJfGxxx5DZGQkRo8ejR07diAzMxPbtm3DtGnTcP78+Rr3OW7cOLRo0QJjxozBrl27cOrUKaxevdpxtc/XX38dn332Gd544w0cP34caWlp+OabbzBr1qw6xx0fHw9FUfD999/j8uXLKCkpuWqboUOHIikpCWPGjMGmTZtw+vRp7N69G7NmzcL+/fsd9Xbs2IG2bduiXbt2dY6HiIjqh0keERHVicFgwO2334733nsP/fv3R7du3fDaa68hOTnZ5X50Y8eOxYoVK7By5UrceuutGD58uON8u/j4+Gr7nTRpEvLz8zF06FDExcVdNY6RI0dCq9Xixx9/dClfuXIlevfujTvuuAPHjx9Hamoqbrvttnr1MTk5GZ06dULv3r0RFRWFXbt21at9VXPmzMHXX3+N7t27Y+XKlfjyyy/RtWtXAEBQUBC2b9+OuLg4PPDAA+jSpQsmTpyI8vLyWlf2dDodNm/ejOjoaIwcORI333wz/va3v0GtVgOQSfD333+PlJQU3HrrrejTpw8WLFjg9r2vyU033YQ5c+bg5ZdfRkxMjCMxrY2iKNiwYQP69++PiRMnomPHjnjkkUdw+vRpxMTEOOp99dVXSE5OrnMsRERUf4oQVW4gRERE5OUWL16M7777Dps2bfJ0KDVSFAVr1qzBmDFjPB2K1zh27BiGDBmCjIyMaudnEhFR4+E5eURE5HOeeuop5Ofno7i4GCEhIZ4Oh+rowoUL+Oyzz5jgERE1Ma7kERERNQGu5BERkadwJY+IiKgJ8G+oRETkKbzwChERERERkR9hkkdERERERORHmOQRERERERH5ESZ5REREREREfoRJHhERERERkR9hkkdERERERORHmOQRERERERH5ESZ5REREREREfoRJHhERERERkR/5/ypa4ER4EFNCAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "--- Goodness of Fit: Beta Prime ---\n", "Parameters: (438.48437837034544, 12.429421766509954, 0, 0.06327913775189781)\n", "KS Statistic: 0.3369, p-value: 0.5192\n", "Log-Likelihood: -5.15\n", "AIC: 18.29, BIC: 16.73\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "--- Goodness of Fit: Gamma ---\n", "Parameters: (27.82680991544221, 0, 0.04699103636333495)\n", "KS Statistic: 0.1159, p-value: 0.4415\n", "Log-Likelihood: -0.64\n", "AIC: 7.28, BIC: 13.19\n" ] }, { "data": { "image/png": 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AMW3atGz3lX57aPrv7uzZs8Yrr7xiAMbDDz9saXdj2YSc9hsMQ2UTRIo6vf/n/ee76tWr52n8VatWNUwmk7Fv3z6rtl26dDFKlSplub0+/VjXl4pLj/ONN97I8hzSHT9+3LC3tzcGDhx40/NPl/56njx50gCM1atXW57LadmEcePGGa6ursalS5cs6w4ePGgAxocffmgYhmFERUUZgDFz5swcx5aZnJRNeOaZZ6zWv/vuuwZgREREGIZhGKdOnTIcHBwy/E1fvnzZ8Pb2Nvr162cYhvkzqa+vr9GwYUOr3/3ly5eN8uXLG61bt7asy+r3tHPnTgMwpk+fbrX+9OnThqurqzF+/HjLuuzKJtyYWxg2bJjh6OhoHDx4MNP2mUl/Pxg+fLjRtGlTq+dyUjZh5MiRBmAcPnw4R8fLrmxCuhYtWhiurq6Wx+m/w8yW5OTkHB23KFDZBLktzZo1w9HR0bJMnz7d8lxsbCwvv/wyNWrUwMHBAQcHB0qUKEFcXByHDh3KsK8bJ/aoW7cuAPfdd1+G9Zndtt6zZ0/s7Oys2mW1PcCpU6cs644fP86jjz6Kt7c39vb2ODo60qFDBwCrWKtWrUpKSorVLSQ388MPP7Br164MS06Kyt9999189913vPLKK2zevJmEhIQcHzf9W8IbJxN5+OGHcXd3t9ymkj67Y79+/aza9e3bN8tvqh566KEM61JSUpgyZQr16tXDyckJBwcHnJycOHr06G3/vv/777+blk546623rP4W07/9HT58uNW63Ey44O3tjaOjI2XKlOGxxx7jrrvuYv369TmaLCadYRiZrr/x72LdunU53qeISH7T9f32GIZhuXXRMAxSUlIyXdLS0nK1TyBHs4T/9ddflt+dr68v06dPZ+DAgXzyySdZbpPTfoOIFG96/7+5zD7frVq1Kk/jB6hfv77VJE4Ajz76KDExMfz+++83jTOzz2w32rhxI6mpqYwaNSrbdufPn2fkyJFUrlwZBwcHHB0dqVq1KkCmv/ubGTZsGAkJCYSGhlrWLVq0CGdnZx599FHAfJt89erVmTZtGu+//z579+7N1XUzNx544AGrx+kjf9P/Lr///ntSUlIYPHiw1XXcxcWFDh06sHnzZgCOHDnC2bNnGTRokNXvvkSJEjz00EP88ssvxMfHWx3rxt/T2rVrMZlMPPbYY1bH8vb2pnHjxpZj5dZ3331Hp06dLH9vWfnqq69o06YNJUqUsPyuFyxYcEu/5/yQ1efrzz77LMP/y+I08rb4nInkGy8vL1xdXTO9oC5ZsoT4+HgiIiIyvOE9+uij/Pjjj7z++usEBARQqlQpTCYTPXv2zDQJ6enpafU4vfZSZuuvXLlyW9sDln3ExsbSrl07XFxcmDx5MrVq1cLNzY3Tp08TGBiYq4RpZho3bpzhFiIgRwnADz74gEqVKhEaGsrUqVNxcXGhW7duTJs2jZo1a2a77YULF3BwcMhwi7/JZMLb29tSeiH93woVKli1c3BwoGzZspnuO7Pbq8aNG8ecOXN4+eWX6dChA2XKlMHOzo4nnnjitn/fYP59lShRIsvzHTFiRIYOYkBAABMnTrRan5tbO3/44Qc8PDxwdHSkUqVKWb4eWYmLi+PChQs0bNgww3NZ/V2IiBQUXd9zf31Pr8kWFhaWbbuTJ09SuXJlwPwlaadOnTJtN3HiRN58802r/d44U3K69Hr26fvNTvXq1Vm2bBkmkwkXFxf8/f2zLPOQLqf9BhEp+vT+nz+f7/Iq/nTe3t4Z9pm+LifvyTkpiZFeB71SpUpZtklLS6Nr166cPXuW119/nYYNG+Lu7k5aWhotW7a8pdezfv36BAQEsGjRIkaMGEFqaiqLFy+md+/eltcnvS7uW2+9xbvvvssLL7yAp6cnAwcO5H//+x8lS5bM9XGzcuPnvPTPjOnnll4TNiAgINPt0xO16b+XzF57X19f0tLSuHjxotU1+ca2586dwzCMDJ/P01WrVu2m55OZf//9N9vfM8CKFSvo168fDz/8MC+99BLe3t44ODgwb948Fi5cmOtjXt+/ubGM4q06deqUVS3udHXr1qV58+Z5cozCSMlbuSl7e3vuueceNmzYQEREhNWbS3pdl/QPFOmio6NZu3YtEydO5JVXXrGsT6+hUpj89NNPnD17ls2bN1u+jQXyvI7OrXB3d2fSpElMmjSJc+fOWUbh9urVi8OHD2e7bdmyZUlJSeHff/+1+iBmGAaRkZGWC0/6hercuXNUrFjR0i4lJSXLTkFmo34WL17M4MGDmTJlitX6qKgoSpcunaPzvR2+vr6Zvon7+fnd8pv47SZYv/32W1JTU+nYseMt70NEJL/o+p57Pj4+NGjQgA0bNhAfH59pQnTnzp2cO3eOvn37AuZRbLt27cp0f+nXra5du/Lxxx+zatUqq9f1eqtWrcLBwYH27dvfNE4XF5dcX/ty2m8QkaJP7/9FQ2RkZJbrcjKoJCd3aqS/3585cybLLwcPHDjA/v37CQkJYciQIZb16fOB3KqhQ4fyzDPPcOjQIY4fP05ERARDhw61alO1alXLqOi///6bL7/8kjfffJOkpCQ++uij2zp+bqR/Jvz6668tI44zk/57iYiIyPDc2bNnsbOzy1B7/sbfk5eXFyaTiW3btmU68OhW68yXK1eOM2fOZNtm8eLF+Pv7ExoaahVXYmLiLR2zW7duTJgwgVWrVtG9e/db2sf1fvvtNyIjIxk+fPht76uoUdkEyZGgoCBSU1MZOXKk1UygWTGZTBiGkeGN5f/+7/9ITU3NrzBvSfqb0o2xzp8/3xbhZKlChQo8/vjjDBgwgCNHjlhut7jxW8F06cXfFy9ebLV++fLlxMXFWZ5P/xB4/S0rYL4w5WaiNZPJlOE1/PbbbwkPD8/xPoqTU6dO8eKLL+Lh4cFTTz1l63BERDKl63vuvfrqq1y8eDHTyWLi4uJ47rnncHJy4plnngGgZMmSNG/ePNMlPXnbp08f6tWrxzvvvMPff/+dYb+hoaFs2LCB/v37ZzoSKy/ktN8A5tf0dkeuiYht6f2/8Pvrr7/Yv3+/1bolS5ZQsmRJ7rrrrjw5RteuXbG3t2fevHlZtsmv13PAgAG4uLgQEhJCSEgIFStWpGvXrlm2r1WrFq+99hoNGzbMUdmIvNStWzccHBz4559/srymA9SuXZuKFSuyZMkSq9v74+LiWL58Oa1atbrpnTD3338/hmEQHh6e6XGuv6szN9fjHj16sGnTJo4cOZJlG5PJhJOTk1XiNjIyktWrV+foGDe666676NGjBwsWLLCa/O16u3fvzlAyJDP//fcfI0eOxNHRkeeff/6W4inKNPJWcqRNmzbMmTOH0aNHc9dddzFixAjq16+PnZ0dERERLF++HIBSpUpZ/m3fvj3Tpk3Dy8sLPz8/tmzZwoIFCwpkFGZutG7dmjJlyjBy5EgmTpyIo6MjX3zxRYYLJZhvg6xevTpDhgzJs7p42WnRogX3338/jRo1okyZMhw6dIjPP//c6k0//c176tSp9OjRA3t7exo1akSXLl3o1q0bL7/8MjExMbRp08Yya3TTpk0ZNGgQYL5lZcCAAUyfPt3yLfxff/3F9OnT8fDwsKrVk53777+fkJAQ6tSpQ6NGjdizZw/Tpk276a0ZxcGBAwcstYjOnz/Ptm3bWLRoEfb29qxcuTLDLagiIoWFru9mubm+P/LII+zZs4f33nuPEydOMGzYMCpUqMCRI0eYMWMGhw8fZsGCBZbRazlhb2/P8uXL6dKlC61ateKFF16gVatWJCYm8s033/Dxxx/TqFGjbD9c366c9hvA3PdYtmwZoaGhVKtWDRcXl0xLBIlI4aX3f7Nb+Xy3Z88ePDw8MqyvV6+e5fXKC76+vjzwwAO8+eab+Pj4sHjxYjZu3MjUqVNvmgDMKT8/PyZMmMDbb79NQkICAwYMwMPDg4MHDxIVFcWkSZOoU6cO1atX55VXXsEwDDw9Pfnmm2/YuHHjbR27dOnSPPjgg4SEhHDp0iVefPFFq8+ef/zxB88++ywPP/wwNWvWxMnJiZ9++ok//vgjy7tU8oufnx9vvfUWr776KsePH6d79+6UKVOGc+fO8dtvv1numLWzs+Pdd99l4MCB3H///Tz11FMkJiYybdo0Ll26xDvvvHPTY7Vp04YRI0YwdOhQdu/eTfv27XF3dyciIoLt27fTsGFDnn76acB8PV6xYgXz5s2jWbNm2NnZZXnnzVtvvcV3331H+/btmTBhAg0bNuTSpUusX7+ecePGUadOHe6//35WrFjBM888Q9++fTl9+jRvv/02Pj4+HD169JZeu88++4zu3bvTo0cPhg0bRo8ePShTpgwRERF88803LF26lD179lhKLAAcPXqUX375hbS0NC5cuMCvv/7KggULiImJ4bPPPqN+/fq3FEtRpuSt5NjIkSNp1aoVs2bNYsaMGZw9exaTyUSlSpVo3bo1P/74I/fcc4+l/ZIlSxgzZgzjx48nJSWFNm3asHHjxgwF2m2tbNmyfPvtt7zwwgs89thjuLu707t3b0JDQzN8o2kYBqmpqQX27fI999zDmjVrmDFjBvHx8VSsWJHBgwfz6quvWto8+uij/Pzzz8ydO5e33noLwzAICwvDz8+PVatW8eabb7Jo0SL+97//4eXlxaBBg5gyZYrVN6eLFi3Cx8eHBQsWMGPGDJo0acKXX35J9+7dc9wZmzVrFo6OjgQHBxMbG8tdd93FihUreO211/L6ZSl00m/vcXJyonTp0tStW5eXX36ZJ554QolbESn0dH3P/fV92rRpdOrUidmzZ/PUU09x8eJFDMOgfPny7NixgxYtWuQ63jp16rB3717ee+89Pv/8c9566y3LbYpPPfUUM2bMwNXVNdf7zSmTyZTjfsOkSZOIiIjgySef5PLly1StWjXDLdYiUvjp/f/WPt9ldfv3xo0b6dy5823Ffr0mTZowdOhQJk6cyNGjR/H19eX999/P81GHb731FjVr1uTDDz9k4MCBODg4ULNmTZ577jkAHB0d+eabbxgzZgxPPfUUDg4OdO7cmR9++MEq4XYrhg4dytKlS4GME2Z6e3tTvXp15s6dy+nTpzGZTFSrVo3p06czevTo2zrurQgKCqJevXrMmjWLpUuXkpiYiLe3NwEBAYwcOdLS7tFHH8Xd3Z3g4GD69++Pvb09LVu2ZNOmTbRu3TpHx5o/fz4tW7Zk/vz5zJ07l7S0NHx9fWnTpg133323pd2YMWP466+/mDBhAtHR0RiGkeWEXhUrVuS3335j4sSJvPPOO1y4cIFy5crRtm1bS53hoUOHcv78eT766CMWLlxItWrVeOWVVzhz5gyTJk26pdfNy8uL7du388knn7B06VJLXe3y5cvTsmVL1qxZk2FivgkTJgDmeXg8PDyoVasWw4YNY8SIEdmWrSjOTEZWv1kRuaPt2LGDNm3a8MUXX1hm/BQREZHMvfXWW0ycOJE5c+ZYSibcrvDwcFq1akXJkiXZsmWLJroUEblD+Pn50aBBA9auXWvrUESkENDIWxFh48aN7Ny5k2bNmuHq6sr+/ft55513qFmzJoGBgbYOT0REpNB74403iIiI4Nlnn8Xd3d1qUpdbVbFiRb7//nvatm1L165d2bRpU6a36oqIiIhI8aWRtyLCr7/+ygsvvMDBgwe5fPkyXl5edOvWjeDgYKvZZ0VERERERCR/aeStiFxPyVsRERERERERERGRQihn08iLiIiIiIiIiIiISIFS8lZERERERERERESkEFLyVkRERERERERERKQQcrB1AHklLS2Ns2fPUrJkSUwmk63DERGRQsQwDC5fvoyvry92dvreMju6noqISFZ0Pc05XU9FRCQrub2eFpvk7dmzZ6lcubKtwxARkULs9OnTVKpUydZhFGq6noqIyM3oenpzup6KiMjN5PR6WmyStyVLlgTMJ16qVCkbRyMiIoVJTEwMlStXtlwrJGu6noqISFZ0Pc05XU9FRCQrub2eFpvkbfqtKKVKldLFUUREMqXbFm9O11MREbkZXU9vTtdTERG5mZxeT1WoSERERERERERERKQQUvJWREREREREREREpBBS8lZERERERERERESkECo2NW9F5M6RmppKcnKyrcOQQsTR0RF7e3tbhyEiIiKSK+rXyu1QH1jkzqDkrYgUGYZhEBkZyaVLl2wdihRCpUuXxtvbu0hMohIcHMyKFSs4fPgwrq6utG7dmqlTp1K7du0st9m8eTOdOnXKsP7QoUPUqVPH8nj58uW8/vrr/PPPP1SvXp3//e9/PPjgg/lyHiIiInJr1K+VvFKU+sAicmuUvBWRIiO9g1u+fHnc3NzUQRHA/OEnPj6e8+fPA+Dj42PjiG5uy5YtjBo1ioCAAFJSUnj11Vfp2rUrBw8exN3dPdttjxw5YjVrdbly5Sw/79y5k/79+/P222/z4IMPsnLlSvr168f27dtp0aJFvp2PiIiI5I76tXK7imIfWERujZK3IlIkpKamWjq4ZcuWtXU4Usi4uroCcP78ecqXL1/obx9bv3691eNFixZRvnx59uzZQ/v27bPdtnz58pQuXTrT52bOnEmXLl0ICgoCICgoiC1btjBz5kyWLl2aJ7GLiEjRkpoK27ZBRAT4+EC7dlDIL5PFnvq1kleKWh9YRG6NJiwTkSIhvRaYm5ubjSORwir9b6Mo1o2Ljo4GwNPT86ZtmzZtio+PD/feey+bNm2yem7nzp107drVal23bt3YsWNHlvtLTEwkJibGahERkeJhxQrw84NOneDRR83/+vmZ199Jtm7dSq9evfD19cVkMrFq1aqbbrNlyxaaNWuGi4sL1apV46OPPsqzeNSvlbxUlPvAIpIzSt6KSJGiW8okK0X1b8MwDMaNG0fbtm1p0KBBlu18fHz4+OOPWb58OStWrKB27drce++9bN261dImMjKSChUqWG1XoUIFIiMjs9xvcHAwHh4elqVy5cq3f1IiImJzK1ZA375w5oz1+vBw8/o7KYEbFxdH48aNmT17do7ah4WF0bNnT9q1a8fevXuZMGECzz33HMuXL8/TuIpq30UKF/0diRSciOgEdvwTRUR0QoEeV2UTREREbOjZZ5/ljz/+YPv27dm2q127ttWEZq1ateL06dO89957VqUWbuzAG4aRbac+KCiIcePGWR7HxMQogSsiUsSlpsKYMWAYGZ8zDDCZYOxY6N37ziih0KNHD3r06JHj9h999BFVqlRh5syZANStW5fdu3fz3nvv8dBDD+VTlCIiUpiF7jpF0Io/STPAzgTBgQ3pH1ClQI6tkbciIsXU448/Tp8+fW7aLqe3D+aUn5+f5cOOZG/06NGsWbOGTZs2UalSpVxv37JlS44ePWp57O3tnWGU7fnz5zOMxr2es7MzpUqVslpERKRo27Yt44jb6xkGnD5tbicZZVWGaPfu3Vnemq4yRPlL/VoRyVcpiXA5Es4fgpM74PA6iP/P8vR/+9bitmYEIQ7BeBBLmgETVhwosBG4GnkrIkXeN998U2DH6tWrV663efzxx/n0008zrO/WrVuGiavy0qxZszAyG3Jzg4iICMqUKZNvcUhGhmEwevRoVq5cyebNm/H397+l/ezdu9dqZuFWrVqxceNGnn/+ecu6DRs20Lp169uOWUREio6IiLxtd6fJqgxRSkoKUVFRVtfedMHBwUyaNKmgQrQJW/VpoXD3a2NiYpg6dSrLly/nxIkTlC5dmgYNGvDMM8/w4IMPYjKZ6NixI1u2bAHAyckJLy8v7rrrLoYOHUpgYKDV/jK7Y6pNmzY3vUtLRICkeIj7FxIuwpVL5n+vX1qMBI+rg2Z2L4Kt08zrk+Mz7uvxb8GvLQCXzh6jl/1OALxSook2SpBqGJyIisfHwzXfT0vJWylUCjIJl9duJaknd47u3buzaNEiq3XOzs75ekwPD49sn09KSsLJyQlvb+98jUMyGjVqFEuWLGH16tWULFnSMlrWw8PDMmtwUFAQ4eHhfPbZZwDMnDkTPz8/6tevT1JSEosXL2b58uVW9ffGjBlD+/btmTp1Kr1792b16tX88MMP6uyLiNxhMskt3la7O1FmZYgyW5/uTilDZIs+LRTefu2lS5do27Yt0dHRTJ48mYCAABwcHNiyZQvjx4/nnnvuoXTp0gA8+eSTvPXWWyQnJxMeHs7KlSt55JFHePzxx/n444+t9rto0SK6d+9ueezk5FSQpyViW6kpYLIDu6vFAv49AhH7r0vCXrJOyPaZC141zW13zoFNk7Ped63u15K3aSkQE37tOZMduJQG1zLmxc7R8lTJ2u15a8cgLqaV4F/D/H5kbzLh51UwE0+qbIKISAFwdnbG29vbakkfFWAymZg/fz73338/bm5u1K1bl507d3Ls2DE6duyIu7s7rVq14p9//rHs780336RJkybMnz+fypUr4+bmxsMPP8ylS5csbW68vaxjx448++yzjBs3Di8vL7p06WI5/vW3l505c4ZHHnkET09P3N3dad68Ob/++isA//zzD71796ZChQqUKFGCgIAAfvjhh/x74YqpefPmER0dTceOHfHx8bEsoaGhljYRERGcOnXK8jgpKYkXX3yRRo0a0a5dO7Zv3863335rNVqjdevWLFu2jEWLFtGoUSNCQkIIDQ2lRYsWBXp+IiJiW+3aQaVK5tq2mTGZoHJlczvJKKsyRA4ODpQtWzbTbWxVhqigJ8/Jrk8Ld16/dsKECZw4cYJff/2VIUOGUK9ePWrVqsWTTz7Jvn37KFGihKWtm5sb3t7eVK5cmZYtWzJ16lTmz5/PJ598kuG4pUuXtnqNPT09cxWXSKGQfAViIuDcQXMpgqTrRrce3Qhrn4evHofPesP89jCzIQRXgbfLwr+HrrU9tAZWPAnfjYfNwfDrPPhjGRz9Hs78BrHnrrV1LQ32TlDCG8rVhSqtofZ90OQxaPUslLjuroq6D8CIzTBmP7x8El6/AC+HwXO/w5M/QpVrn6HKVb+L2r3Hs8ZoTwwlsDeZmBLYoEBG3YJG3oqIFApvv/0277//Pu+//z4vv/wyjz76KNWqVSMoKIgqVaowbNgwnn32Wb777jvLNseOHePLL7/km2++ISYmhuHDhzNq1Ci++OKLLI/z6aef8vTTT/Pzzz9neutZbGwsHTp0oGLFiqxZswZvb29+//130tLSLM/37NmTyZMn4+LiwqeffkqvXr04cuQIVaoUTLH24iAnt/2FhIRYPR4/fjzjx4+/6XZ9+/alb9++txqaiIgUA/b2MGsW9O1rTtRef9lJT+jOnHlnTFZ2K1q1apXhjsANGzbQvHlzHB0ds9iq4Nly8pzs3Cn92rS0NJYtW8bAgQPx9fXN8Pz1idusDBkyhBdeeIEVK1bQuXPnm7aX2xMRnUBYVBz+Xu4FlnQr8gwDEmMyH/GacBGaDwO3q18u/PYJ7F54rV3KDV8qjfwZvBuYf47YZ26blYSL134uWxP8O1wbEetaxpykTf+5XJ1rbZsPh4Ansv728nolK5iXHOofUIX2tcpxIioePy+3Av0bUvJWRKQArF27NkMH7uWXX+b1118HYOjQofTr18+yvlWrVrz++ut069YNMN8OP3ToUKvtr1y5wqeffmqZ6OrDDz/kvvvuY/r06VneMlajRg3efffdLONcsmQJ//77L7t27bJ8w1+jRg3L840bN6Zx48aWx5MnT2blypWsWbOGZ599NkevhYiIiOS/wED4+msYM8Z68rJKlcyJ2xvKbBZrsbGxHDt2zPI4LCyMffv24enpSZUqVTKUKho5ciSzZ89m3LhxPPnkk+zcuZMFCxawdOlSW51CBhHRCZbELWCZPKd9rXL5mlC4WZ8W7px+bVRUFBcvXqROnTo3bZsVOzs7atWqxYkTJ6zWDxgwAPvrvl1ZvHhxjiZsk6wV1i87bOLCP+bl+iTs9fVhH5h9Lam58XXY8WHW+6rV7Vry9ko0nD9o/bzJ7lqSNe26CR+rtoUOr9yQkL0hMZuufh/zkhN2+VtgwMfD1SaJfyVvRUQKQKdOnZg3b57Vuutvf2rUqJHl5/QJMho2bGi17sqVK8TExFhuw6tSpYqlgwvmUSJpaWkcOXIky05u8+bNs41z3759NG3aNMtbs+Li4pg0aRJr167l7NmzpKSkkJCQYHV7v4iIiBQOgYHQuzds22aenMzHx1wq4U4bcbt79246depkeZxem3bIkCGEhIRkKFXk7+/PunXreP7555kzZw6+vr588MEHPPTQQwUee1bCouIsidt0BTF5zs36tHDn9GtvVgc5pwzDyLCPGTNmWI3EzWySPMk5W33ZkS+SE64lWb1qg/3VtN7RH+DkzxlHxl65ZB4J+8zO6ybqWgg7Z2d9jLjz15K3LqXN/zq4Zhzx6loanNyvbdcgECo2s27nVDLzhGrVVuZFckTJWxGRAuDu7m71Tf+Nrr8FL73zltm69Nu8MpPeJrsOpLu7e5bPAZbJsrLy0ksv8f333/Pee+9Ro0YNXF1d6du3L0lJSdluJyIiIrZhbw8dO9o6Ctvq2LFjtiWLbixVBNChQwd+//33fIzq9vh7uWNnwiqBWxCT59ysTwt3Tr+2XLlylClThkOHDt28cRZSU1M5evQoAQEBVuu9vb1v+jpLztnqy44spaVdK0Vw/YjXhIvm2qyOLuZ2v34Mf620bpNy5dp+nv/rWkL2+KbsE7IJF6+19fQHn8YZR7ymT9ZV8rovC1o+A61GgWMOXifPauZF8pyStyIiRdSpU6c4e/aspcbWzp07Lbde3apGjRrxf//3f/z333+ZjlLYtm0bjz/+OA8++CBgvg3xxtu8RERERCR/+Xi4EhzYkAkrDpBqGAU+eU5eK4r9Wjs7O/r378/nn3/OxIkTM9S9jYuLw9nZGQeHrNMun376KRcvXixUo7qLo3z/siM6HGLCM456TV96zbo2QvW7l+G3j8HI4suLWt2vJVmjT8GpHRnbmOzNSdakuGvrqraBtNQbRsZel5QtXfla24AnzEtOOOXvF0KSM7lO3m7dupVp06axZ88eIiIiWLlyZba1Vx5//HE+/fTTDOvr1avHX3/9BZi/6byx5g1AQkICLi4uuQ1RRKTQSUxMzDBrsYODA15eXre8TxcXF4YMGcJ7771HTEwMzz33HP369cvy1rKcGDBgAFOmTKFPnz4EBwfj4+PD3r178fX1pVWrVtSoUYMVK1bQq1cvTCYTr7/+erajJkREREQkf9hi8pz86NNC0e3XTpkyhc2bN9OiRQv+97//WSa127ZtG8HBwezatYvSpUsDEB8fT2RkJCkpKYSHh7NixQpmzJjB008/bVXWozArqhN+Zftlh2FAcry5tEAp32sTXf2zCSL/yCQZe+lqGYId4FzS3HZzMOz9POsA7p14LXlr73QtcevoZj3i1bW09XYNH75WhsDSpoz5uDeOSq/T07xIsZTr5G1cXByNGzdm6NChOfp2aNasWbzzzjuWxykpKTRu3JiHH37Yql2pUqU4cuSI1TolbkWkuFi/fn2GWlW1a9fm8OHDt7zPGjVqEBgYSM+ePfnvv//o2bMnc+fOva04nZyc2LBhAy+88AI9e/YkJSWFevXqMWfOHMBcf2vYsGG0bt0aLy8vXn75ZWJiYm7rmCIiIiJyawp68pz86NNC0e3XlilThl9++YV33nmHyZMnc/LkScqUKUPDhg2ZNm0aHh4elraffPIJn3zyCU5OTpQtW5ZmzZoRGhpqGflb2BX1Cb/63+XDfefmkxR5mBJpl3H6LRq2XE3Ipl4tlRF05lpC9sDy7BOyCRevtS1VEcr4WSdYr1+urwvbZqy5DIFL6WvlEbLi09i8yB3PZGRX/OdmG5tMNx15e6NVq1YRGBhIWFgYVatWBcwjb8eOHculS5duNRRiYmLw8PAgOjraUvRcip5vvvnG1iHcsl69etk6hGLtypUrhIWF4e/vry92gDfffJNVq1axb98+W4dSaGT3N6JrRM7ptRIRkazoGpFz2b1W6tdaU7/29hTE31NEdAJt3vkpQ9mB7a90KlIjcFn+JPz5ZebP2TnAmP3XShbsXQwntmedkK1Q/+bJV5Es5PZ6WuA1bxcsWEDnzp0tidt0sbGxVK1aldTUVJo0acLbb79N06ZNCzo8ERERERERERG5qtBN+JVTyVcgJcGcbAXoOQ0qNYcSFTIfHXt9KYKmj5kXkUKgQJO3ERERfPfddyxZssRqfZ06dQgJCaFhw4bExMQwa9Ys2rRpw/79+6lZs2am+0pMTCQxMdHyWLftioiIiIiIiIjkrXyf8Cs/ROyHFSPAsxo8ssScmHUtDS2esnVkIrlmV5AHCwkJoXTp0hnKLLRs2ZLHHnuMxo0b065dO7788ktq1arFhx9+mOW+goOD8fDwsCyVK1fOsq2ISHHz5ptv6tYyERERESny1K8t3NInKXu5Rx3sr45MtZrwq7BJS4Vt78Mn98K/h+HMbogJt3VUIrelwEbeGobBwoULGTRoEE5OTtm2tbOzIyAggKNHj2bZJigoiHHjxlkex8TEKIErIiIiIiIiIpIHbpyk7OXudWhUqTR+Xm6FM3H7XxisHAmnfzE/rnM/9JoF7l62jUvkNhVY8nbLli0cO3aM4cOH37StYRjs27ePhg0bZtnG2dkZZ2fnvAxRREREREREROSOFxGdYEncgrlkwrvrjxTOScoMwzzB2PpXICkWnEpCj6nQ5FHrOrYiRVSuk7exsbEcO3bM8jgsLIx9+/bh6elJlSpVCAoKIjw8nM8++8xquwULFtCiRQsaNGiQYZ+TJk2iZcuW1KxZk5iYGD744AP27dvHnDlzbuGURERERERERETkVhWpScqSE2DrNHPitkpreHAelPGzdVQieSbXydvdu3fTqVMny+P00gVDhgwhJCSEiIgITp06ZbVNdHQ0y5cvZ9asWZnu89KlS4wYMYLIyEg8PDxo2rQpW7du5e67785teCIiIiIiIiIichuK1CRlTm4Q+DGc2gmtnwM7e1tHJJKncp287dixI4ZhZPl8SEhIhnUeHh7Ex8dnuc2MGTOYMWNGbkMREREREREREZE85uPhyss96jD1u8OkGYVskrLEWNjwKlRoAHc/aV5XpaV5ESmGCqzmrYiIiIiIiIiIFH6hu05ZErcmYHz32vQPqGLrsOD0b7BiBFwMA0d3aPAQuHnaOiqRfGVn6wBERERERERERKRwuHGyMgPzZGUR0Qm2Cyo1GX6aDAu7mRO3pSrBo8uUuJU7gpK3IiIFIDIykjFjxlCjRg1cXFyoUKECbdu25aOPPsq2rExRs3nzZkwmk2UpV64cPXr0YP/+/ZY2HTt2tDzv7OxMxYoV6dWrFytWrMiwv+v3lb60bdu2IE9JRERERK66U/q0AIZh8PHHH9OiRQtKlChB6dKlad68OTNnzrSc65tvvmnpozo4OODl5UX79u2ZOXMmiYmJVvu7vg98/ZKSkmKL08tWdpOV2cS/f8P/dTZPSmakQaNH4Omfwb+9beIRKWAqmyAiks+OHz9OmzZtKF26NFOmTKFhw4akpKTw999/s3DhQnx9fXnggQdsHWaeOnLkCKVKleLUqVM899xzdO/encOHD+Ph4QHAk08+yVtvvUVycjLh4eGsXLmSRx55hMcff5yPP/7Yal+LFi2ie/fulsdOTk4Fei4iIiIicuf1aQcNGsSKFSt47bXXmD17NuXKlWP//v3MnDkTPz8/+vTpA0D9+vX54YcfSEtL48KFC2zevJnJkyfz+eefs3nzZkqWLGnZZ3of+HoODoUvLVOoJiuL/w8+uQeSLoNLaeg1E+o/WPBxiNiQRt6KiOSzZ555BgcHB3bv3k2/fv2oW7cuDRs25KGHHuLbb7+lV69elrbvv/8+DRs2xN3dncqVK/PMM88QGxtreT4kJITSpUuzdu1aateujZubG3379iUuLo5PP/0UPz8/ypQpw+jRo0lNTbVs5+fnx+TJkxk8eDAlSpSgatWqrF69mn///ZfevXtTokQJGjZsyO7duy3bXLhwgQEDBlCpUiXc3Nxo2LAhS5cuzdE5ly9fHm9vb+6++26mT59OZGQkv/zyi+V5Nzc3vL29qVy5Mi1btmTq1KnMnz+fTz75hB9++MFqX6VLl8bb29uyeHrq1igRERGRgnYn9Wm//PJLvvjiC5YuXcqECRMICAjAz8+P3r1789NPP9GpUydLWwcHB7y9vfH19aVhw4aMHj2aLVu2cODAAaZOnWq13/Q+8PVLYeTj4UpwYEPsTSbAxpOVuXlCq1FQ/R54ZqcSt3JHUvJWRIouw4C4uIJfDOPmsV114cIFNmzYwKhRo3B3d8+0jelqpwjAzs6ODz74gAMHDvDpp5/y008/MX78eKv28fHxfPDBByxbtoz169ezefNmAgMDWbduHevWrePzzz/n448/5uuvv7babsaMGbRp04a9e/dy3333MWjQIAYPHsxjjz3G77//To0aNRg8eDDG1fO7cuUKzZo1Y+3atRw4cIARI0YwaNAgfv311xyfP4Crq7mTl5ycnG27IUOGUKZMmUzLJ4iIiIjcEZLisl6Sr+SibcLN2+bCndan/eKLL6hduza9e/fO9DzT7ybLSp06dejRo0eR7te2r1WOmY80Zs6jTdn+SqeCnazswAo4d/Da4w7jYeByKOVbcDGIFCKFb3y+iEhOxcdDiRIFf9zYWMii03qjY8eOYRgGtWvXtlrv5eXFlSvmDvioUaMs38qPHTvW0sbf35+3336bp59+mrlz51rWJycnM2/ePKpXrw5A3759+fzzzzl37hwlSpSgXr16dOrUiU2bNtG/f3/Ldj179uSpp54C4I033mDevHkEBATw8MMPA/Dyyy/TqlUrzp07h7e3NxUrVuTFF1+0bD969GjWr1/PV199RYsWLXJ0/hcuXGDSpEmULFmSu+++O9u2dnZ21KpVixMnTlitHzBgAPb29pbHixcvttymJiIiIlKsTMkmOVWzKwz86trjaTUgOYsapFXbwtBvrz2e2RDiL1i3eTM6x2HdaX3ao0ePZjjX3KpTpw4bNmywWjd37lz+7//+z/L4qaeeYvr06bd1nPwQuuuUZcIyOxMEBzYsmORtwiVY9xL8+SVUaAhP/ggOzmBnf9NNRYozJW9FRArA9SMRAH777TfS0tIYOHCg1WQGmzZtYsqUKRw8eJCYmBhSUlK4cuUKcXFxllEObm5ulk4uQIUKFfDz86PEdYnsChUqcP78eatjNmrUyOp5gIYNG2ZYd/78eby9vUlNTeWdd94hNDSU8PBwEhMTSUxMzHK0xfUqVaoEQFxcHDVr1uSrr76ifPnyN93OMIwMr9WMGTPo3Lmz5bGPj89N9yMiIiIiee9O6dNm1ifNrcz2MXDgQF599VXL49KlS9/WMfJDRHSCJXEL5rq3E1YcoH2tcvlbNuH4Flj1NMSEg8kOavcw/ysiSt5K7nzzzTe2DqHQyu/X5voaUnKVm5t5FKwtjptDNWrUwGQycfjwYav11apVA66VFAA4efIkPXv2ZOTIkbz99tt4enqyfft2hg8fblVywNHR0WpfJpMp03VpaWlW665vk96RzGxd+nbTp09nxowZzJw501KzbOzYsSQlJd30vLdt20apUqUoV64cpUqVuml7gNTUVI4ePUpAQIDVem9vb2rUqJGjfYiIiIgUaRPOZv2c6YbRhy8dy6btDUmvsX/eekzceX3aWrVqcejQoSyfz4lDhw7h7+9vtc7Dw6PQ92vDouKsJioDSDUMTkTF50/yNvkK/PgW/DLH/NizGjz4MVQOyH47kTuIkrciUnSZTDkuX2ArZcuWpUuXLsyePZvRo0dn+w3/7t27SUlJYfr06djZmTvcX375ZUGFmsG2bdvo3bs3jz32GGDuAB89epS6devedFt/f/9cjyT49NNPuXjxIg899NCthCsiIiJS9Dnlom+bX20zcaf1aR999FEeeeQRVq9enaHurWEYxMTEZFv39vDhw6xfv56goKC8OYkC5O/ljp0JqwSuvcmEn1fOB7Dk2OVI+KwP/Hs1Ud5sKHSdDM42KI0nUohpDLqISD6bO3cuKSkpNG/enNDQUA4dOsSRI0dYvHgxhw8fttRzrV69OikpKXz44YccP36czz//nI8++shmcdeoUYONGzeyY8cODh06xFNPPUVkZGSe7Ds+Pp7IyEjOnDnDr7/+yssvv8zIkSN5+umnrWbvFREREZHC4U7q0/br14/+/fszYMAAgoOD2b17NydPnmTt2rV07tyZTZs2WdqmpKQQGRnJ2bNn+fPPP/nwww/p0KEDTZo04aWXXsrv08tTEdEJhEXF8XKPOthfHcFsbzIxJbBB/oy6dS8HLh7gXh4e/RJ6zVTiViQTGnkrhZLHP//gs307nocO4R4RgUN8PKnOzsRXqMDFOnWIbNGCCw0agJ2+f5DCr3r16uzdu5cpU6YQFBTEmTNncHZ2pl69erz44os888wzADRp0oT333+fqVOnEhQURPv27QkODmbw4ME2ifv1118nLCyMbt264ebmxogRI+jTpw/R0Tmf3CIrn3zyCZ988glOTk6ULVuWZs2aERoayoMPPpgHkYuIiIhIXruT+rQmk4klS5bw8ccfs3DhQiZPnoyDgwM1a9Zk8ODBdOvWzdL2r7/+wsfHB3t7ezw8PKhXrx5BQUE8/fTTODs7F8Qp5okbJyl7uXsdGlUqjZ+XW94mbi+ehBIVwNHFPBFZ3wXg4ALuXnl3DJFixmQYhnHzZoVf+m0L0dHROa6vKLmX33Vdyx44QJ3PP8czB/WFYitW5Gi/fpzp0OGOSOLe6TVvr1y5QlhYGP7+/ri4uNg6HCmEsvsb0TUi5/RaiYhIVnSNyLnsXiv1ayUv5cXfU0R0Am3e+SlDqYTtr3TKu8StYcC+L+C7l+GuIdB9St7sV6QIyu31VCNvpVBwiIujwccfU/nq7SepDg6ca9GCc82bc7lqVZJLlMA+IYGSZ87gtW8fvj//TInwcJrOmEHV775j79ixxPv62vgsRERERERERIqWfJ+kLC4KvhkDh9eaH5/dCylJ4OB0+/sWuQMU/+GKUui5nT1L++efp/KmTRh2dpzo0YMfP/mEPS+/zJl77yW6Rg3ivb257O/P2Xbt+GP0aDYuXMihQYNIcXXF8/Bh2o8bh/fOnbY+FRGRHAkODiYgIICSJUtSvnx5+vTpw5EjR7LdZsWKFXTp0oVy5cpRqlQpWrVqxffff2/VJiQkBJPJlGG5cuVKfp6OiIiIiBRh6ZOUXS/PJin7+3uY28qcuLVzhHsnwuNrlbgVyQUlb8WmPI4do+3LL+MeGUl8+fL8HBzMn08/TWLZstlul+rmxrGHH2bT7Nn8V7cujvHxBAQHU2vJEvPtGCIihdiWLVsYNWoUv/zyCxs3biQlJYWuXbsSFxeX5TZbt26lS5curFu3jj179tCpUyd69erF3r17rdqVKlWKiIgIq0W3ZIqIiIjIjSKiE9jxTxQAwYEN83aSsqQ4WPs8LOkHceehXB148kdoN85c61ZEckxlE8Rmyhw8SMtJk3BISCC6WjV+mTiRpDJlcrWPK+XKseN//6Pup59SffVqai9bhl1yMocHDwaT6eY7EBGxgfXr11s9XrRoEeXLl2fPnj20b98+021mzpxp9XjKlCmsXr2ab775hqZNm1rWm0wmvL298zxmERERESk+bpygLDiwIdtf6cSJqPi8maQs4SL8udz8c8tRcO8b5knKRCTXNPJWbML9zBnu/t//cEhI4N9GjdgxZUquE7fpDAcHDg4fzoEnnwSg5vLl1Fu0SCNwRaTISJ/t2NPTM8fbpKWlcfny5QzbxMbGUrVqVSpVqsT999+fYWSuiIiIiNzZIqITLIlbgDQDJqw4AECr6mVvPXGblnbtZ49K0GcODF5tnpxMiVuRW6bkrRQ4p+hoWrz1Fk6XL3OxVi12vf46KW63X0snrFcv/hg5EoDqq1bhv2bNbe9TCp+06zsEItcpqn8bhmEwbtw42rZtS4MGDXK83fTp04mLi6Nfv36WdXXq1CEkJIQ1a9awdOlSXFxcaNOmDUePHs1yP4mJicTExFgtIiIikv+Kat9FCpdb+TvKboKyWxZ1FP7vXji68dq6ur2gWsdb36eIACqbIAXMlJpK8+Bg3CMjiatQgd9ee41UZ+c82//Jnj2xT0yk/qJF1F+4kDhfX84HBOTZ/sV2nJycsLOz4+zZs5QrVw4nJydMKo0hmJOfSUlJ/Pvvv9jZ2eHkVLQmP3j22Wf5448/2L59e463Wbp0KW+++SarV6+mfPnylvUtW7akZcuWlsdt2rThrrvu4sMPP+SDDz7IdF/BwcFMmjTp1k9AREREckX9WskLt9MHTp+g7PoE7i1PUGYYsOv/YMPrkJIAG16D6veCncYKiuQVJW+lQNX88kvKHjxIspsbv02cSFLp0nl+jON9+lAiPJyqGzbQ7L332D51Kpf9/PL8OFKw7Ozs8Pf3JyIigrNnz9o6HCmE3NzcqFKlCnZFqKM4evRo1qxZw9atW6lUqVKOtgkNDWX48OF89dVXdO7cOdu2dnZ2BAQEZDvyNigoiHHjxlkex8TEULly5ZydgIiIiOSa+rWSl26lD+zj4UpwYEMmrDhAqmHc+gRlMRGwehT886P5cbVO0GeuErcieUzJWykwZQ4epFZoKAB/Pv00sTlMVOSaycSfI0fiHhGB159/0mzaNLa9/36ejvAV23BycqJKlSqkpKSQmppq63CkELG3t8fBwaHIjFoxDIPRo0ezcuVKNm/ejL+/f462W7p0KcOGDWPp0qXcd999OTrOvn37aNiwYZZtnJ2dcdb7o4iISIFSv1bywq30gSOiEwiLiqN9rXK3N0HZX6tg7VjzxGQOLtDlLQh4UolbkXyg5K0UCIf4eO56/31MaWmc7tSJ8A4d8vV4hoMDe8aPp8Nzz1Hy9GnqLVjAn888k6/HlIJhMplwdHTE0dHR1qGI3LJRo0axZMkSVq9eTcmSJYmMjATAw8MDV1dzxzkoKIjw8HA+++wzwJy4HTx4MLNmzaJly5aWbVxdXfHw8ABg0qRJtGzZkpo1axITE8MHH3zAvn37mDNnjg3OUkRERLKjfq0UtNBdpywTldmZIDiwIf0DquR+R2d2w1dDzD/7NIbAT6Bc7bwNVkQs9JWIFIjaX3yB2/nzxFWowIGnniqQYyZ5eLD3+ecxTCb81q/He8eOAjmuiMjNzJs3j+joaDp27IiPj49lCb16dwJAREQEp06dsjyeP38+KSkpjBo1ymqbMWPGWNpcunSJESNGULduXbp27Up4eDhbt27l7rvvLtDzExEREZHCJSI6wZK4BXO92wkrDhARnZD7nVVqDk0eg/YvwfAflLgVyWcaeSv5zuOff/D/9lsA/hg1ihS3WyiCfouimjThWGAgNZcvp/GcOfxXvz5JV0eoiYjYimEYN20TEhJi9Xjz5s033WbGjBnMmDHjFqMSERERkeIqLCrOaoIygFTD4ERUfM5KJlw+B66lweFqua3es6GIlCwTKeo08lbyV2oqDefNw5SWRni7dkQ1aVLgIRwZOJBof3+cLl+m/v/9X4EfX0RERERERMSW/L3csbsh12pvMuHnlYPBVYmX4fMH4bM+EHfBvE6JW5ECo+St5KsqGzdS5u+/SXZz46/hw20Sg+HgwP5nn8Wws6PSli2U37PHJnGIiIiIiIiI2Mrwtv6WBK69ycSUwAY3H3WblgpfD4fzf8GFY5Acl/+BiogVJW8l39gnJFDniy8A8+jXRE9Pm8USXbMmx3v1AqDh3LnYJ9xCXR8RERERERGRIiZ01ynavPMTn2wLwzBgRHt/tr/SKWeTlW14DY5+Dw4uMGAZlL6FCc5E5LYoeSv5ptrq1ThHRxPr48OJHj1sHQ5HBg4kvnx53P79lxrLl9s6HBEREREREZF8deNEZQawYNuJnG28dzH8Mtf884MfQaVm+RGiiNxErpO3W7dupVevXvj6+mIymVi1alW27Tdv3ozJZMqwHD582Krd8uXLqVevHs7OztSrV4+VK1fmNjQpRJyio6lx9Xd4eNAgDAfbz42X6uLCX088AUD1lStxjYy0cUQiIiIiIiIi+Se7icqydWY3rH3e/HPHIKj/YP4EKCI3levkbVxcHI0bN2b27Nm52u7IkSNERERYlpo1a1qe27lzJ/3792fQoEHs37+fQYMG0a9fP3799dfchieFRM0vv8QhIYFLNWoQ0bq1rcOxiGzRgn8bNcI+OZl6N8zkLiIiIiIiIlKc3NJEZWmpsOppSE2COvdD+/H5G6SIZCvXydsePXowefJkAgMDc7Vd+fLl8fb2tiz29vaW52bOnEmXLl0ICgqiTp06BAUFce+99zJz5szchieFgEtUFFW/+w6AQ0OGgF0hqs5hMvHXE09g2Nnhu2MHZQ8csHVEIiIiIiIiIvnCx8OVl3vUyd1EZXb20P8LqNvLXC6hMH2mF7kDFdj/wKZNm+Lj48O9997Lpk2brJ7buXMnXbt2tVrXrVs3duzYUVDhSR6qvnIl9ikpRDVoQFTjxrYOJ4PLfn6c7NYNgHoLF4Jh3GQLERERERERkaIndNcppn53mDQDTMD47rVzNlFZuVrQfzE4l8z3GEUke/mevPXx8eHjjz9m+fLlrFixgtq1a3PvvfeydetWS5vIyEgqVKhgtV2FChWIzKYmaWJiIjExMVaL2J7TpUtU/f57AI4+/LCNo8nakUcfJcXVldLHjuGjLwlERERERIq1uXPn4u/vj4uLC82aNWPbtm3Ztv/iiy9o3Lgxbm5u+Pj4MHToUC5cuFBA0YrkjcwmK3t3/REiohMy3+DoRgjL/v+GiBS8fE/e1q5dmyeffJK77rqLVq1aMXfuXO677z7ee+89q3Ymk3URFsMwMqy7XnBwMB4eHpalcuXK+RK/5E61NWuwT0riYs2aRDVpYutwspTk4cE/vXsDUGfxYkypqTaOSERERERE8kNoaChjx47l1VdfZe/evbRr144ePXpw6tSpTNtv376dwYMHM3z4cP766y+++uordu3axRNXJz8WKSpyNVnZpdOwfDh89gD8synj8yJiMzYpXNKyZUuOHj1qeezt7Z1hlO358+czjMa9XlBQENHR0Zbl9OnT+Rav5IxDbCx+69YBV0fdZpN8LwyO9+lDUsmSlAgPp9JPP9k6HBERERERyQfvv/8+w4cP54knnqBu3brMnDmTypUrM2/evEzb//LLL/j5+fHcc8/h7+9P27Zteeqpp9i9e3cBRy5ye3I8WVlqCqx4Eq5Eg29TqNqm4IIUkZuySfJ27969+Pj4WB63atWKjRs3WrXZsGEDrVu3znIfzs7OlCpVymoR2/Jbvx7H+Hhiqlbl3N132zqcm0pxc+No374A1F66FLvkZBtHJCIiIiIieSkpKYk9e/ZkmGOla9euWc6x0rp1a86cOcO6deswDINz587x9ddfc99992V5HJX1k8JqeFv/m09WtvVdOLUTnErCQwvAwangAxWRLDnkdoPY2FiOHTtmeRwWFsa+ffvw9PSkSpUqBAUFER4ezmeffQbAzJkz8fPzo379+iQlJbF48WKWL1/O8uXLLfsYM2YM7du3Z+rUqfTu3ZvVq1fzww8/sH379jw4RSkIppQU/L79FoB/+vQpMrNRnrjvPqqtXo1rVBSVfvqJU1cnMhMRERERkaIvKiqK1NTUXM2x0rp1a7744gv69+/PlStXSElJ4YEHHuDDDz/M8jjBwcFMmjQpT2MXuR2hu05Z6t2agBHt/Rnaxj9j4vbEdtg6zfxzr5ng6V/QoYrITeQ6w7Z7926aNm1K06ZNARg3bhxNmzbljTfeACAiIsKqdlBSUhIvvvgijRo1ol27dmzfvp1vv/2WwMBAS5vWrVuzbNkyFi1aRKNGjQgJCSE0NJQWLVrc7vlJAfHZuRPXCxe4Uro0Z9u3t3U4OZbm5MQ/Dz4IQI3ly1X7VkRERESkGMrNHCsHDx7kueee44033mDPnj2sX7+esLAwRo4cmeX+VdZPCpPMJipbsO1Exobx/8GKEWCkQZOB0LBvQYYpIjmU65G3HTt2xDCMLJ8PCQmxejx+/HjGjx9/0/327duXvn31RlFU+a9ZA8DJHj1Ic3S0cTS5c6pbN2p+/TXukZH4bt1KeKdOtg5JRERERETygJeXF/b29rmaYyU4OJg2bdrw0ksvAdCoUSPc3d1p164dkydPtioBmM7Z2RlnZ+e8PwGRW5DdRGVWI29//wxiwqFsDejxbsEGKSI5VjTubZdCrfSRI3geOUKqgwMnune3dTi5luriwvEHHgCg5ldfQVqajSMSEREREZG84OTkRLNmzTLMsbJx48Ys51iJj4/H7oYycPb29gDZDmQSKSxyPFFZmzHwwGxznVvnEgUXoIjkipK3ctv8v/kGgLPt25NUpoyNo7k1J+67jyR3d0qeOYPPzp22DkdERERERPLIuHHj+L//+z8WLlzIoUOHeP755zl16pSlDEJQUBCDBw+2tO/VqxcrVqxg3rx5HD9+nJ9//pnnnnuOu+++G19fX1udhkiO+Xi4EhzYEPurpUGynKjMZIK7BoFvk4IPUkRyLNdlE0Su5xQdje/VWVrDevWycTS3LsXNjRP330+t0FBqfvklEa1bmy9kIiIiIiJSpPXv358LFy7w1ltvERERQYMGDVi3bh1Vq1YFMs7b8vjjj3P58mVmz57NCy+8QOnSpbnnnnuYOnWqrU5BJFciohOo7OnGimdaEZ+Uhp+X27XEbVoa7PgAmj0OrqVtGaaI5JCSt3JbKv/4I3YpKVysWZPo6tVtHc5tOd6rF9VWr8YjLIzyu3dzPiDA1iGJiIiIiEgeeOaZZ3jmmWcyfe7GeVsARo8ezejRo/M5KpG8F7rrlGWyMjsTBAc2pFX1stca7PoEfpgIexfDM7+AvdJCIoWdyibIrTMMqnz/PWCe9KuoSy5VihM9egBQY/lyG0cjIiIiIiIiknMR0QmWxC1AmgETVhwgIjrBvOLCP7BxovnnFk8pcStSRCh5K7es7B9/UCIigmRXV8LbtbN1OHki7IEHSLO3p+zBg3gcO2brcERERERERERyJCwqzpK4TZdqGJyIijeXS1j9LKQkgH8HCHjCNkGKSK4peSu3rOqGDQCEd+hAqqvrTVoXDVfKluVs27YAVFu92sbRiIiIiIiIiOSMv5c7djdM3WJvMuHn5WYul3BqBzi6wwMfao4XkSJEyVu5JU7R0fjs3AnAye7dbRxN3jreuzcAvtu343Lhgo2jEREREREREbk5Hw9XXu5Rx5LAtTeZmBLYAJ+08/DDJPPKLpOgTFXbBSkiuabkrdySilu2YJeSwqUaNYipVs3W4eSp6Bo1uFC/PnapqfitXWvrcERERERERERuKnTXKaZ+d5g0A0zA+O616R9QBX54E5LjoEpraD7c1mGKSC4peSu3pPKPPwJw+t57bRxJ/kgffVv1+++xv3LFxtGIiIiIiIiIZO3GycoM4N31R8yTlfV8D5o+Bg98AHZKA4kUNfpfK7lWKiwMj7AwUh0cis1EZTeKDAggztsbp9hYKv30k63DEREREREREclStpOVuZeF3nPAq6ZtghOR26LkreRaejLz3N13k1yqlI2jySf29hx/4AEAqn3zjXlmThEREREREZFCKLPJyhrZncCvbPGYXFzkTqbkreSKKSWFSps3A8W3ZEK60/feS7K7OyXCwyn/+++2DkdEREREREQkS8Pb+lsSuC3sjrDGaQI+65+E1BTbBiYit0XJW8mV8r//jnN0NIkeHvzbtKmtw8lXqa6unOrcGYCq331n42hEREREREREMgrddYo27/zEJ9vCMAwY2bYSi72Xmp909wJ7B9sGKCK3RclbyZVKmzYBcKZjRwyH4n8BONm9OwAVdu/G9dw5G0cjIiIiIiIick1mE5WZfpmH439/g5sXdH7TluGJSB5Q8lZy7vJlKuzaBUB4hw42DqZgxFWsyL9NmmAyDKquX2/rcESkmAgODiYgIICSJUtSvnx5+vTpw5EjR2663ZYtW2jWrBkuLi5Uq1aNjz76KEOb5cuXU69ePZydnalXrx4rV67Mj1MQERERkULgxonKfIlitP0K84Ouk8G1jG0CE5E8o+St5NyaNdgnJRHr60t09eq2jqbAnOjZE4AqGzdil5xs42hEpDjYsmULo0aN4pdffmHjxo2kpKTQtWtX4uListwmLCyMnj170q5dO/bu3cuECRN47rnnWL58uaXNzp076d+/P4MGDWL//v0MGjSIfv368euvvxbEaYmIiIhIAbtxorLXHBfjZkoksWJLaPyI7QITkTxT/O97l7yzbBkAZ9u1A5PpJo2Lj3MBASR4eeEaFYXPzz8T3rGjrUMSkSJu/Q0j+RctWkT58uXZs2cP7du3z3Sbjz76iCpVqjBz5kwA6taty+7du3nvvfd46KGHAJg5cyZdunQhKCgIgKCgILZs2cLMmTNZunRp/p2QiIiIiNiEj4crwYENmbDiAC1Nf9DT/jfSTPY4P/D+HfW5XaQ408hbyZn//oPvvwcgvF07GwdTsAx7e0527QqA37p1No5GRIqj6OhoADw9PbNss3PnTrpefS9K161bN3bv3k3y1bsCsmqzY8eOPI5YRERERAqL/gFVWPFMKx5t4U9iyarY3f0kVKhv67BEJI8oeSs5s2IFJCcT7edHbJUqto6mwJ3q2pU0e3s8Dx+m1PHjtg5HRIoRwzAYN24cbdu2pUGDBlm2i4yMpEKFClbrKlSoQEpKClFRUdm2iYyMzHK/iYmJxMTEWC0iIiIiUnSE7jrFg3N3MGpnCRpHTWJ56aG2DklE8pCSt5IzV2+3PZvF7bzFXaKnJxGtWgEafSsieevZZ5/ljz/+yFFZA9MNt74ZhpFhfWZtblx3veDgYDw8PCxL5cqVcxO+iIiIiNhQRHQCQSv+tExadsVwYvya40REJ9g2MBHJM0reys1FRMCmTQCEt21r42Bs5+TVicsqbt2KfXy8jaMRkeJg9OjRrFmzhk2bNlGpUqVs23p7e2cYQXv+/HkcHBwoW7Zstm1uHI17vaCgIKKjoy3L6dOnb/FsRERERKSghUXF8ZL9UobYf48DKQCkGgYnovSZVaS4UPJWbu6rr8AwoGVLEry9bR2NzVyoX59YX18crlzBd/t2W4cjIkWYYRg8++yzrFixgp9++gl/f/+bbtOqVSs2btxotW7Dhg00b94cR0fHbNu0bt06y/06OztTqlQpq0VEREREioaanGKE/VomOX5KI5O5xJ+9yYSfl5uNIxORvKLkrdzcsmXmfx95xLZx2JrJxKkuXQCockNyREQkN0aNGsXixYtZsmQJJUuWJDIyksjISBISrt3eFhQUxODBgy2PR44cycmTJxk3bhyHDh1i4cKFLFiwgBdffNHSZsyYMWzYsIGpU6dy+PBhpk6dyg8//MDYsWML8vREREREJB9FRCew458oIi7FU+7nSdibDL5LvZvfjVrYm0xMCWyAj4errcMUkTziYOsApJA7eRJ27gSTCfr1g927bR2RTZ255x7qLF6M55EjlDx5kstVq9o6JBEpgubNmwdAx44drdYvWrSIxx9/HICIiAhOnTplec7f359169bx/PPPM2fOHHx9ffnggw946KGHLG1at27NsmXLeO2113j99depXr06oaGhtGjRIt/PSURERETyX+iuU5Yat/fa72WB42awd6LZ0A9ZmlIOPy83JW5FihklbyV7K1aY/23XDnx8bBtLIZBYpgznAgLw+eUXqmzcyF9PPGHrkESkCEqfaCw7ISEhGdZ16NCB33//Pdvt+vbtS9++fW81NBEREREppK6fnMyBFCbYLwYgtskTlK9ah/I2jk9E8ofKJkj20pO3143sutOd6toVgEqbNmGXnGzjaEREREREROROEBYVR9rVMQAD7X+kul0EUUYpDtYYYdvARCRfKXkrWYuMhJ9/Nv/84IO2jaUQOd+0KQlly+J0+TLev/xi63BERERERETkDuDv5Y6dCZxJYrTDSgBmpvSlsu+dO7G4yJ1AyVvJ2urVYBhw991QubKtoyk87O053bkzAFU2bLBxMCIiIiIiInIn8PFwJTiwIckmJwYlBbEk9R4aPTBaNW5FirlcJ2+3bt1Kr1698PX1xWQysWrVqmzbr1ixgi5dulCuXDlKlSpFq1at+P77763ahISEYDKZMixXrlzJbXiSl9JLJgQG2jaOQuhU584YJhPl9u/HNTLS1uGISAE5ffo0Z86csTz+7bffGDt2LB9//LENoxIREcmBHNRbF5GiwTDgkFGVV5OfwLDTVEYixV2uk7dxcXE0btyY2bNn56j91q1b6dKlC+vWrWPPnj106tSJXr16sXfvXqt2pUqVIiIiwmpxcXHJbXiSVy5ehJ9+Mv+skgkZJFSoQFTjxgBU+eEHG0cjIgXl0UcfZdOmTQBERkbSpUsXfvvtNyZMmMBbb71l4+hEREQyERkJzz8PgwbZOhIRuU0R0Qm8t2I76V/FGMCEFQeIiE6wZVgiks9y/RVNjx496NGjR47bz5w50+rxlClTWL16Nd988w1Nmza1rDeZTHh7q05LofHNN5CSAg0aQK1ato6mUDrZtSvl9u2j8o8/8veAARj29rYOSUTy2YEDB7j77rsB+PLLL2nQoAE///wzGzZsYOTIkbzxxhs2jlBEROSqf/+Fd9+FOXMg4Wpi57XXoE4d28YlIrfs/JFf2e40miWp9/JWyiAM7Eg1DE5Exat0gkgxVuA1b9PS0rh8+TKenp5W62NjY6latSqVKlXi/vvvzzAyVwqYSibc1LkWLUgqWRLXCxco9/vvtg5HRApAcnIyzs7OAPzwww888MADANSpU4eIiAhbhiYiImJ24QJMmAD+/vDee+bEbYsWsGED1K5t6+hE5DbUOfA+zqYUSptiMa6mc+xNJvy83GwcmYjkpwJP3k6fPp24uDj69etnWVenTh1CQkJYs2YNS5cuxcXFhTZt2nD06NEs95OYmEhMTIzVInkkNhbS6xIreZulNEdHTt9zD6DSCSJ3ivr16/PRRx+xbds2Nm7cSPfu3QE4e/YsZcuWtXF0IiJyR7t0Cd54w5y0DQ6GuDho3hzWrYOdO6FLFzCZbB2liNyq45txPrWFVJMj76eY8yn2JhNTAhto1K1IMVegydulS5fy5ptvEhoaSvny5S3rW7ZsyWOPPUbjxo1p164dX375JbVq1eLDDz/Mcl/BwcF4eHhYlsqVKxfEKdwZ1q+HK1egWjVo1MjW0RRqp++9F4AKu3bhqC8QRIq9qVOnMn/+fDp27MiAAQNofLX29Zo1ayzlFERERApUTAy8/Tb4+Zn/vXwZGjeG1avht9+gRw8lbUWKOsOAH83zK3yWfA+njXKYgPHda9M/oIptYxORfFdgydvQ0FCGDx/Ol19+SefOnbNta2dnR0BAQLYjb4OCgoiOjrYsp0+fzuuQ71zXl0xQRy9bl/38iK5WDbuUFCpu3WrrcEQkn3Xs2JGoqCiioqJYuHChZf2IESP46KOPbBiZiIjccWJjzSNs/f3NI26jo6F+ffj6a/j9d3jgAfXlRYqLw2shfA9xhjOzU/oA5snK3l1/RJOVidwBCiR5u3TpUh5//HGWLFnCfffdd9P2hmGwb98+fHx8smzj7OxMqVKlrBbJA8nJ5lurAB580LaxFBHpo28r//STjSMRkYJgGAZ79uxh/vz5XL58GQAnJyfc3FRrTERECkB8PEybZk7aTpgA//1nnoRs2TL44w946CGwK/DqeCKSX9JS4afJACxI7cEFPCxPpU9WJiLFm0NuN4iNjeXYsWOWx2FhYezbtw9PT0+qVKlCUFAQ4eHhfPbZZ4A5cTt48GBmzZpFy5YtiYyMBMDV1RUPD/ObzqRJk2jZsiU1a9YkJiaGDz74gH379jFnzpy8OEfJjW3bzN/ae3mZJzaQmwpv3556CxdS+tgxSpw6RWwV3bYiUlydPHmS7t27c+rUKRITE+nSpQslS5bk3Xff5cqVKxp9KyIi+SchAebPh3fegXPnzOtq1oSJE+GRR8De3rbxiUj+OH8Ios+Q5lyaBYnWg+E0WZnInSHXX8nu3r2bpk2b0rRpUwDGjRtH06ZNeeONNwCIiIjg1KlTlvbz588nJSWFUaNG4ePjY1nGjBljaXPp0iVGjBhB3bp16dq1K+Hh4WzdulX1A23hm2/M/953nzqAOZTk4cH55s0BqPzjjzaORkTy05gxY2jevDkXL17E1fXaxBAPPvggP+r/v4iI5IfERJg9G6pXh+efNydu/f1h0SI4eBAGDlS/XaQ4824AY/Zj98jnTAhsif3VciiarEzkzpHrkbcdO3bEMIwsnw8JCbF6vHnz5pvuc8aMGcyYMSO3oUheM4xrydsHHrBtLEXM6XvvxfvXX6m0ZQuHBw/GUAdapFjavn07P//8M05OTlbrq1atSnh4uI2iEhGRYikpyZygnTwZzpwxr6tSBV5/HYYMAUdH28YnIgXH3Qv829PfH+p4l2TXiYsE+JWhceUyto5MRApArpO3UowdPgz//ANOTtC1q62jKVLONWtGUsmSuPz3H1779vFvs2a2DklE8kFaWhqpqakZ1p85c4aSJUvaICIRESl2kpPhs8/g7bfh5EnzuooV4dVXYdgwcHa2bXwiUjCS4iF8D/i3s6wK3XWKoBV/kmaAnQmCAxvSP0Bl+0SKO1Wyl2vSR9126gQlStg2liLGcHTkTIcOgCYuEynOunTpwsyZMy2PTSYTsbGxTJw4kZ49e9ouMBERKfpSUsxJ27p14YknzIlbb2+YNQuOHYOnn1biVuROsnshfHo/rHwagIjoBEviFiDNgAkrDhARnWDDIEWkICh5K9ekJ2979bJtHEXUmXvuAcD7l19wiI21cTQikh9mzJjBli1bqFevHleuXOHRRx/Fz8+P8PBwpk6dauvwRESkKEpNhSVLoH59czmEf/6BcuVg+nTzz889By4uto5SRApSUhxsv1pasmprAMKi4iyJ23SphsGJqPgCDk5ECprKJojZhQuwY4f55/vvt20sRVR09erEVK1KqZMn8d2+nVPdu9s6JBHJY76+vuzbt4+lS5fy+++/k5aWxvDhwxk4cKDVBGYiIiI3lZYGy5fDm2+aJx4D8PSE8ePh2WfB3d2m4YmIDf32CcRHQRl/aPwIAP5e7tiZsErg2ptM+Hm52ShIESkoSt6K2bp15g5ko0ZQtaqtoymaTCZO33MP9RctovJPPyl5K1JMubq6MmzYMIYNG2brUEREpCgyDFi1CiZOhD//NK8rXRpefBFGj4ZSpWwZnYjYWuJl+HmW+ecOL4O9eXJCHw9XXu5Rh6nfHSbNMCdupwQ2wMdDAwhEijslb8VszRrzvyqZcFvCO3Sg3qef4nn4MO7h4cRVrGjrkEQkD3322WfZPj948OACikRERIocw4Bvv4U33oC9e83rSpWC55+HsWPNCVwRkV/nQ8J/ULYGNHzYsjp01ylL4tYEjO9eW5OVidwhlLwVSEqC7783/6zk7W1J9PTk/F13UWH3bipt2sSRxx6zdUgikofGjBlj9Tg5OZn4+HicnJxwc3NT8lZERDIyDHNf+403YNcu87oSJWDMGBg3zlwqQUQE4Eo07PjQ/HOHl8HenLK5cbIyA3h3/REeaOKrkbcidwBNWCawZQtcvgwVKkBAgK2jKfJOX524rPJPP5lLUYhIsXHx4kWrJTY2liNHjtC2bVuWLl1q6/BERKQwMQz48Udo2xZ69DAnbt3czDVtw8Jg8mQlbkXE2qVT4FoGvGpBg4csqzVZmcidTSNvBb75xvzv/feDnfL5t+vc3XeT5O6Oa1QUXn/+SVTjxrYOSUTyUc2aNXnnnXd47LHHOHz4sK3DERGRwmDLFvNI261bzY9dXOCZZ8yJ2woVbBubiBRe3g3h2d0Qcwbs7C2rNVmZyJ1Nmbo7nWFcS96qZEKeSHNy4my7dgBU+uknG0cjIgXB3t6es2fP2joMERGxtR07oHNn6NjRnLh1cjJPQnb8OEyfrsStDc2dOxd/f39cXFxo1qwZ27Zty7Z9YmIir776KlWrVsXZ2Znq1auzcOHCAopW7mj2DlDGDzCXS9jxTxQAwYENsTeZzE00WZnIHUUjb+90f/0FJ06As7O5oyl54sw99+C3fj0+O3fy58iRpLrqoipSHKxJn9zxKsMwiIiIYPbs2bRp08ZGUYmIiM39+itMnGiZRyLV3pHI+57A+4MJ2FetZOPgJDQ0lLFjxzJ37lzatGnD/Pnz6dGjBwcPHqRKlcwnfOrXrx/nzp1jwYIF1KhRg/Pnz5OSklLAkcsdIykODqyARv3AwRkwT1CWXufWzmRO3m5/pRMnouLx83JT4lbkDqLk7Z1u7Vrzv/feC+7uto2lGLlYuzaxPj6UiIjA55dfONOpk61DEpE80KdPH6vHJpOJcuXKcc899zB9+nTbBCUiIrazZ485afvttwCkYM8ihvK/1Fc5ucaPSr/DrFkQGGjjOO9w77//PsOHD+eJJ54AYObMmXz//ffMmzeP4ODgDO3Xr1/Pli1bOH78OJ5X6xL7+fkVZMhyp9kTAt9PgP3LYOi3GSYoSzNgwooDbH+lE62ql7VpqCJS8FQ24U733Xfmf++7z7ZxFDcmkyVhq9IJIsVHWlqa1ZKamkpkZCRLlizBx8fH1uGJiEhB2b8fHnwQmjeHb7/FsLNjEY9TmyOM4BNO4gdAeDj07QsrVtg23DtZUlISe/bsoWvXrlbru3btyo4dOzLdZs2aNTRv3px3332XihUrUqtWLV588UUSEhKyPE5iYiIxMTFWi0iOpCTCjg/NPzd6GNAEZSJiTcnbO1l0NPz8s/nn7t1tG0sxlJ689frjD1yiomwcjYiIiIjctr/+gocfhiZNYNUqMJlIe3QgHcodYhiLOE51q+bG1eTL2LGQmlrQwQpAVFQUqampVLih3nCFChWIjIzMdJvjx4+zfft2Dhw4wMqVK5k5cyZff/01o0aNyvI4wcHBeHh4WJbKlSvn6XlIMbbvC7gcAaUqQuMBwLUJyq6nCcpE7lwqm3An+/FHcy+yVi2oVs3W0RQ7CRUqENWgAV4HDlBp82aO9e1r65BE5BaMGzcux23ff//9fIxERERs5sgRmDQJli27lpHt3x8mTmTrubpsW5L1poYBp0/Dtm3meczENkwm60yYYRgZ1qVLS0vDZDLxxRdf4OHhAZiv8X379mXOnDm4ZjKfRVBQkFWfISYmRglcubnUZNg+w/xz6+cs9W59PFwJDmzIhBUHSDUMTVAmcodT8vZOtn69+d8ePWwbRzF2plMnc/J20yaOPfQQZNFBFJHCa+/evTlql9UHQBERKcKOHYO334bFiyEtzbzuoYfMdW4bNgQgYl/OdhURkT8hSva8vLywt7fPMMr2/PnzGUbjpvPx8aFixYqWxC1A3bp1MQyDM2fOULNmzQzbODs74+zsnLfBS/H359dw6RS4ecFdg4mITiAsKg5/L3f6B1Shfa1ymqBMRJS8vWMZxrXkrUom5JuINm1oOH8+JU+fxuPYMaIz6eiJSOG2adOmfNnv1q1bmTZtGnv27CEiIoKVK1dmmBDteo8//jiffvpphvX16tXjr7/+AiAkJIShQ4dmaJOQkICLi0uexS4iUuyFhcHkyfDpp9fqHTzwgHn0bZMmVk1zWvJcpdFtw8nJiWbNmrFx40YefPBBy/qNGzfSu3fvTLdp06YNX331FbGxsZQoUQKAv//+Gzs7OypVqlQgccsdIC0Ntl+9a6vVKEL3R1kmKbMzQXBgQ/oHVFHSVkRU8/aOdfCg+f4tFxfo0MHW0RRbKW5uRLRsCUClfEoAiUjRFBcXR+PGjZk9e3aO2s+aNYuIiAjLcvr0aTw9PXn44Yet2pUqVcqqXUREhBK3IiI5deoUjBxpLiu2cKE5cduzJ+zaBatXZ0jcArRrB5UqZX2DlckElSub24ltjBs3jv/7v/9j4cKFHDp0iOeff55Tp04xcuRIwFzyYPDgwZb2jz76KGXLlmXo0KEcPHiQrVu38tJLLzFs2LBMSyaI3JKEi+BRGVxKE1n7MUviFiDNgAkrDhARnfUkeSJy59DI2ztV+qjbDh1AHZB8daZTJypt3UrFrVs5OHQohqOjrUMSkduwa9cuvvrqK06dOkVSUpLVcytyMZ14jx496JGLsjXpE6CkW7VqFRcvXsww0tZkMuHt7Z3j/YqICBAeDsHB8MknkP7e3rWreaTt1S/is2JvD7NmQd++5kStcd0M8ekJ3Zkzze3ENvr378+FCxd46623iIiIoEGDBqxbt46qVasCEBERwalTpyztS5QowcaNGxk9ejTNmzenbNmy9OvXj8mTJ9vqFKQ4ci8Lg1ZA7L8cP2eyJG7TpRoGJ6LiNfJWRDTy9o6lercFJqpJE66UKYNzTAzlf//d1uGIyG1YtmwZbdq04eDBg6xcuZLk5GQOHjzITz/9ZJVYLQgLFiygc+fOlg+e6WJjY6latSqVKlXi/vvvv2nN3sTERGJiYqwWEZE7RmQkjB0L1avDnDnmxG2nTrB1K3z//U0Tt+kCA+Hrr6FiRev1lSqZ1wcG5n3okjvPPPMMJ06cIDExkT179tC+fXvLcyEhIWzevNmqfZ06ddi4cSPx8fGcPn2a6dOna9St5I8S5fD3csfuhtH79iYTfl5utolJRAoVJW/vRLGx5g4pqN5tATDs7Qm/WppCpRNEirYpU6YwY8YM1q5di5OTE7NmzeLQoUP069ePKlWqFFgcERERfPfddzzxxBNW6+vUqUNISAhr1qxh6dKluLi40KZNG44ePZrlvoKDgy2jej08PDQztojcGf79F156CapVMw+bTUyEtm3hp5/Myy3UOAgMhBMnYNMmWLLE/G9YmBK3Ine6iOgEdvwTda0EgmHAL/Pg8rVJ9Hw8XAkObIj91eH69iYTUwIbaNStiAAqm3Bn2rzZPKrAz89cz0vy3elOnai+ahUVfvsNx8uXSS5Z0tYhicgt+Oeff7jvvvsA86zScXFxmEwmnn/+ee655x4mTZpUIHGEhIRQunTpDBOctWzZkpbXjRJr06YNd911Fx9++CEffPBBpvsKCgpi3LhxlscxMTFK4IpI8XXhAkyfDh98AHFx5nUtW8Jbb0HnzlkXrs0he3vo2PH2wxSR4iF016mMk5B5nYT1r8CmYHjhEDi5A9A/oArta5XjRFQ8fl5uStyKiIVG3t6Jri+ZcJsdVMmZy/7+RPv7Y5+Sgu/27bYOR0RukaenJ5cvXwagYsWKHDhwAIBLly4RHx9fIDEYhsHChQsZNGgQTk5O2ba1s7MjICAg25G3zs7OlCpVymoRESl2Ll6EN94Af39zbdu4OGjeHL79FnbsgC5d1C8WkTwVEZ2Q6SRkiT9NNa9o9LAlcZvOx8OVVtXLKnErIlaUvL0TpSdvVTKhQJ3p1AlQ6QSRoqxdu3Zs3LgRgH79+jFmzBiefPJJBgwYwL333lsgMWzZsoVjx44xfPjwm7Y1DIN9+/bh4+NTAJGJiBRC0dHmUbX+/vD223D5MjRuDKtXw2+/Qc+eStqKSL4Ii4rLMAlZQ47ifHob2DlAmzG2CUxEihyVTbjTHD0K//wDjo7myRikwIR36EC9kBA8Dx/G/exZ4nx9bR2SiOTQvn37aNKkCbNnz+bKlSuAudyAo6Mj27dvJzAwkNdffz1X+4yNjeXYsWOWx2FhYezbtw9PT0+qVKlCUFAQ4eHhfPbZZ1bbLViwgBYtWtCgQYMM+5w0aRItW7akZs2axMTE8MEHH7Bv3z7mzJlzC2ctIlKExcbChx/CtGnmUbcADRrApEnQpw/YaQyLiOSv9EnIrk/gPuuwyvxDo/5QuuDmSxCRok29ljtN+qjbtm1BdVcLVGKZMpxv2hTQ6FuRouauu+6iWbNmhIaG4u5uvr3Nzs6O8ePHs2bNGt5//33KlCmTq33u3r2bpk2b0vTq+8K4ceNo2rQpb7zxBmCelOzUqVNW20RHR7N8+fIsR91eunSJESNGULduXbp27Up4eDhbt27l7rvvzu0pi4gUTfHx5oStvz9MmGBO3NapA8uWwf795tnDlLgVkQLg4+HKyz3qYHd1cH99u1N0tv8dMEHb520am4gULRp5e6e5vt6tFLgznTpRYc8eKm3axJEBA/ThQaSI+Pnnn1m4cCGvvPIKL7zwAoGBgQwfPpxOt3EHQ8eOHTEMI8vnQ0JCMqzz8PDItrbujBkzmDFjxi3HJCJSZCUkwPz58M47cO6ceV3NmjBxIjzyiHkmMRGRAhS66xRTvztMmgEm4INKP8J5oP6D4FXT1uGJSBGizNGd5MoVSB/xqXq3NhHZogXJbm64nT+P58GDtg5HRHKoVatWfPLJJ0RGRjJv3jzOnDlD586dqV69Ov/73/84c+aMrUMUEbkzJSbC7NlQvTo8/7w5cevvD4sWwcGDMHCgErciUuBunKzMwGDzWUfSHFyh3Qu2DU5Eihwlb+8kW7eaRyVUrGiu+SUFLs3ZmbNt2gAqnSBSFLm6ujJkyBA2b97M33//zYABA5g/fz7+/v707NnT1uGJiNw5kpLMI21r1IDRoyEiAqpUgU8+gSNH4PHHwUE3GYqIbWScrMzE2ymPsfuhneCtz+Iikju5Tt5u3bqVXr164evri8lkYtWqVTfdZsuWLTRr1gwXFxeqVavGRx99lKHN8uXLqVevHs7OztSrV4+VK1fmNjS5mfSSCd27a1ZdGzpz9TZr3+3bsUtMtHE0InKrqlevziuvvMKrr75KqVKl+P77720dkohI8ZecDAsWQK1aMHIknDljHpgwdy78/Tc88YR5Yl4RERtKn6zsevYmE5V9vW0TkIgUablO3sbFxdG4cWNmz56do/ZhYWH07NmTdu3asXfvXiZMmMBzzz3H8uXLLW127txJ//79GTRoEPv372fQoEH069ePX3/9NbfhSXauT96KzfxXrx7x5cvjmJCAt/7GRYqkLVu2MGTIELy9vRk/fjyBgYH8/PPPtg5LRKT4SkmBzz6DunXNCdqTJ8HbG2bNgmPH4OmnwdnZ1lGKiADmycqCAxtibzIxwP5HmtsdZUpgA3w8XG0dmogUQbm+l6hHjx70yMVkVx999BFVqlRh5syZANStW5fdu3fz3nvv8dBDDwEwc+ZMunTpQlBQEABBQUFs2bKFmTNnsnTp0tyGKJk5eRIOHTLX/Orc2dbR3Nns7DjTqRO1QkOptGkTZ9u3t3VEIpIDp0+fJiQkhJCQEMLCwmjdujUffvgh/fr1w93d3dbhiYgUT6mpEBoKkyaZR9YClCsHr7xiHnnr5mbb+EREMhERnUBlTzfWDK1B3WVDsEtLgoodgCq2Dk1EiqB8LwS1c+dOunbtarWuW7duLFiwgOTkZBwdHdm5cyfPP/98hjbpCV/JA+mjblu2hNKlbRqKYEnelt+7F+eLF0ksU8bWIYlINrp06cKmTZsoV64cgwcPZtiwYdSuXdvWYYmIFF9pabB8Obz5pnniMQBPTxg/Hp59FvSlmYgUUqG7TlkmKxvvsIz6DklQsTn4NLF1aCJSROV78jYyMpIKFSpYratQoQIpKSlERUXh4+OTZZvIyMgs95uYmEjidfVCY2Ji8jbw4iY9eZuLUdOSf+J8ffmvTh08Dx+m4pYtHO/Tx9YhiUg2XF1dWb58Offffz/2mrVcRCT/GAasWgUTJ8Kff5rXlS4NL75onpisVClbRicikq2I6ARL4rYE8Txm/wMA/901Ck/NOyMityjXNW9vhemGNynDMDKsz6zNjeuuFxwcjIeHh2WpXLlyHkZczCQlwQ/mi4bq3RYe6ROXVdq0ycaRiMjNrFmzht69eytxKyKSXwwD1q6FZs0gMNCcuC1VypzEDQuDV19V4lZECr2wqDjSzOkOBtj/RClTPP+k+XDEo51tAxORIi3fk7fe3t4ZRtCeP38eBwcHypYtm22bG0fjXi8oKIjo6GjLcvr06bwPvrjYsQNiY6F8eWja1NbRyFVn27Yl1cEBj7AwSoWF2TocERERkYJnGOY7xFq0gF69YO9eKFHCnKwNCzOXTVDJLxEpIvy93LEzgSMpDHf4DoCPU3vhV66EjSMTkaIs35O3rVq1YuPGjVbrNmzYQPPmzXF0dMy2TevWrbPcr7OzM6VKlbJaJAvpJRO6dQO7AhlsLTmQXLIk5+6+G9DoWxEREbnDGAb8+CO0bWsu67Vrl3nysfHj4fhxmDzZXONWRKQI8fFwJTiwIQ/ab8fbdJFIowzNez2Fj4errUMTkSIs15m82NhY9u3bx759+wAICwtj3759nDp1CjCPiB08eLCl/ciRIzl58iTjxo3j0KFDLFy4kAULFvDiiy9a2owZM4YNGzYwdepUDh8+zNSpU/nhhx8YO3bs7Z2dmKUnb1UyodBJL51QccsWTKmpNo5GREREpABs2QIdO0LnzuY7xFxcYNw4c9J26lQoV87WEYqI3JZ4w5nTaeVYlNKdNHsnW4cjIkVcrics2717N52uJpwAxo0bB8CQIUMICQkhIiLCksgF8Pf3Z926dTz//PPMmTMHX19fPvjgAx566CFLm9atW7Ns2TJee+01Xn/9dapXr05oaCgtWrS4nXMTgLNnYf9+MJmgSxdbRyM3OH/XXSSWKoXLxYt47dvHv82a2TokERERkfyxYwe88YZ5xC2AkxM89RQEBYGPj21jExHJA9cmLGvFd0l340AqKSsO0L5WOY2+FZFbluvkbceOHS0TjmUmJCQkw7oOHTrw+++/Z7vfvn370rdv39yGIzfz/ffmf5s31yiGQshwdCS8fXuqrV1LpU2blLwVKYTWrFmT47YPPPBAPkYiIlJE/fabOWmb3i91dIQnnoAJE6BSJdvGJiKSh66fsCwVe1KxB8PgRFS8krcicstynbyVIia9ZEKPHraNQ7J0plMnqq1di88vv/BnfDwpbm62DklErtOnTx+rxyaTyepLTJPJZPk5VeVPRESu+f13mDgR1q41P3ZwgKFDzZORVa1q29hERPJBzbTjPGS/lTWprUm+mm6xN5nw89JnPBG5dZq9qjhLSYENG8w/q95toRVdowaXK1fGPikJn59/tnU4InKDtLQ0y7JhwwaaNGnCd999x6VLl4iOjmbdunXcddddrE//skxE5E73xx/w4IPQrJk5cWtnB48/DocPw8cfK3ErIsVKRHQCO/6JIiI6gXJ7ZjHd8SOCHJYC5sTtlMAGGnUrIrdFI2+Ls99+g0uXoEwZuPtuW0cjWTGZONOpE3U/+4xKmzZxWrWJRQqtsWPH8tFHH9G2bVvLum7duuHm5saIESM4dOiQDaMTEbGxv/6CSZPgq6/Mj00mePRRc8mEWrVsG5uISD4I3XXqao1bqG4XwQ9O32ICeg17hbpGZfy83JS4FZHbppG3xVn6KLCuXcHe3raxSLbOdOiAYTLhdeAArufO2TocEcnCP//8g4eHR4b1Hh4enDhxouADEhEpDI4cMSdpGza8lrjt39+czF28WIlbESmWrk1OZn483O5bTBhcqdaVctWa0Kp6WSVuRSRPKHlbnKUnb1UyodC7Uq4cUY0aAVBp82bbBiMiWQoICGDs2LFERERY1kVGRvLCCy9wt+5wEJE7zbFjMGQI1KsHS5eCYcBDD5nLJixbBnXr2jpCEZF8c/3kZOW4xEP22wA4VmOYDaMSkeJIydvi6t9/Yfdu88/dutk2FsmRM506AVBp0ybzhx8RKXQWLlzI+fPnqVq1KjVq1KBGjRpUqVKFiIgIFixYYOvwREQKRlgYDB8OderAZ59BWhr06mWeoOzrr80jcEVEijl/L3fsrs5bO8The5xNyfyeVpOy9TrYNjARKXZU87a42rDBnABs3Bh8fGwdjeRARKtWNJw3jxJnz1L6yBEu1alj65BE5AY1atTgjz/+YOPGjRw+fBjDMKhXrx6dO3fGZDLZOjwRkfx16hRMmQILFpgnxgXo2dNc57Z5c9vGlkupqbBtG0REmLvK7dqpypiI5I6PhyvBgQ15e8UuBtlvBCA+YBQ+pd1sHJmIFDdK3hZX6SUTevSwbRySY6murkS0bk3lTZuovGmTkrcihZTJZKJr1660b98eZ2dnJW1FpPgLD4fgYPjkE0hKMq/r0sWctG3Vyrax3YIVK2DMGDhz5tq6SpVg1iwIDLRdXCJSNJUhhgNp/viaLnC2QkdbhyMixZDKJhRHaWnw/ffmn1XvtkhJL53gu20bdsnJNo5GRG6UlpbG22+/TcWKFSlRogRhYWEAvP766yqbICLFT2QkjB0L1avDnDnmxG3HjrB1q/kuryKauO3b1zpxC+b8dN++5udFRHIifcKy00Z5Bia/Su+ktwlaeYiI6ARbhyYixYySt8XR77+ba96WLAmtW9s6GsmFqIYNSShbFqfYWMrv2mXrcETkBpMnTyYkJIR3330XJycny/qGDRvyf//3fzaMTEQkD/37L7z0ElSrZh6OmpgIbdrATz/Bpk3mGgOFQGoqbN5snitt82bz45u1HzMm86kF0teNHXvz/YiIgPWEZQAxuJNqGJyIirddUCJSLCl5Wxyll0zo3BkcHW0bi+SOvT1nOnYEoPKmTbaNRUQy+Oyzz/j4448ZOHAg9tcVR2zUqBGHDx+2YWQiInngwgWYMAH8/eG99yAhAVq0MI+y3bYNrt4hlF9yk4xdsQL8/MwhPfqo+V8/v+xHzm7blnHE7fUMA06fNrcTEbkZ/7JuPG7/PWWJtqyzN5nw81LNWxHJW0reFkfpyVuVTCiS0ksnlN+9G6eYGBtHIyLXCw8Pp0aNGhnWp6WlkaxSJyJSVF26BG+8YU7aBgdDXJx5ArJ162DnTnN929uo752TpGxukrG3WvogIiJn8ea0nYjc2Xwu/Mqbjp+y0fklnEnC3mRiSmADfDxcbR2aiBQzSt4WNxcvmjvZAN262TYWuSWxVapwqUYN7FJT8d261dbhiMh16tevz7ZMhmR99dVXNG3a1AYRiYjchpgYePttc5b07bfh8mVo3BhWr4bffjNPfHubkzLmJCmbm2Ts7ZQ+8PHJWcw5bScid7bErTMBSK3fl5An27P9lU70D6hi26BEpFhysHUAksd++ME8YVndulC1qq2jkVt0plMnSh87RqVNmzhx//22DkdErpo4cSKDBg0iPDyctLQ0VqxYwZEjR/jss89Yu3atrcMTEcmZy5dh9myYNs38xT9Agwbw5pvw4INgl/PxHamp5jIDERHmpGe7dpBeVSY9KXtjojU9Kfv119C7d/bJWJPJnIzt3du839yUPrhaicqiXTuoVMl8/MyOZzKZny8kJX1FpBD7/seNdDu5mVTDxEN7mzDKP45W1cvaOiwRKaY08ra4SS+Z0KOHbeOQ2xLerh1p9vaUOXqUEqdP2zocEbmqV69ehIaGsm7dOkwmE2+88QaHDh3im2++oUuXLrYOT0Qke3Fx5oRttWrm2rYXL0KdOhAaCvv3w0MP5Spxm92o2pyOkN28OXd1aG+n9IG9vXn+Ncg4oDj98cyZ15LPIiKZiYhOIH7zTADWpbXglFGeCSsOEBGdYNvARKTYUvK2ODEM1bstJpJKl+Z8s2YAVNLEZSKFQkpKCpMmTaJevXps2bKF2NhY4uPj2b59O127drV1eCIiWUtIgBkzzEnb8eMhKgpq1oTFi+HAAejXL1dJW7h5qYP//S9nSdnNm3N2vPRk7O2WPggMNI/4rVjRen2lSub1gYE527+I3LnCTx7lfjtzqcKPU8x3SaYaBiei4m0ZlogUY0reFid//glnz4Kbm+73KgbSJy6rtHmzuRSGiNiUg4MD06ZNIzW76c9FRAqTxERzeYTq1WHcODh/3jwp2aJFcPAgDBx402GmmU02lpNRtekjXPNKejI2vfRBVqV4TSaoXDn7rnBgIJw4AZs2wZIl5n/DwpS4FZGcqXNiMY6mVHam1uNPoxoA9iYTfl5uNo5MRIorJW+Lk/RRt506gYuLbWOR23YuIIAkd3dco6Io++eftg5HRIDOnTuzOafDxG5i69at9OrVC19fX0wmE6tWrcq2/ebNmzGZTBmWw4cPW7Vbvnw59erVw9nZmXr16rFy5co8iVdEipCkJJg/H2rUgNGjzcNWq1SBTz6BI0fg8cfB4eZTX2RVFiEno2r/+y9noXbsmLtkbF6VPrC3Nx97wADzvyqVICI5VcLZkRQ7Jz5OM4+6tTeZmBLYAB8PVxtHJiLFlZK3xYlKJhQraU5OnL36SaWySieIFAo9evQgKCiIF198kaVLl7JmzRqrJTfi4uJo3Lgxs2fPztV2R44cISIiwrLUrFnT8tzOnTvp378/gwYNYv/+/QwaNIh+/frx66+/5uoYIlJEJSfDwoVQuzaMHGnOsFasCPPmwdGj8MQT4OiYo11lVxZh4sSchePpefOkbMeOuU/GqvSBiNhSqOdTtEz4gE2pjTEB47vXpn9AFVuHJSLFmMkwMrvhqeiJiYnBw8OD6OhoSpUq9f/t3XlcVGX7x/HPsLviDiguZO6aKZqiuWXiUj4umTwtmrnlo5XLr8dcckErtDTRUsuyqKc0KlFbLKVyTTM1MU0rFwyzIcMUFRUVzu+PI6PDooDADPB9v17nxcw99zlzneEcZubiPtft6HAK3tmzULGi+aH94EFzpEU++Oyzz/Jlu5K58gcOcPezz3LFywu3hAQoVcrRIYkUSnn1HuFyg5qQFosl1yUVLBYLK1eupHfv3ln22bBhA506deLUqVOUK1cu0z4hISGcOXOGL7/80tbWrVs3ypcvz/Lly7MVS7F/PxUpjK5cMa//nzEDDh8223x9zUnJhg276RVZKSnmhGBWq1meoE0bs9LCjUbXZkdoKEyfbt6+/htHWlL2+kRrVJRZiuH656xe3UzcZpWMTR93u3YaQZvf9B6RfXqtiiZr4gXazvqW1Ov+prlaLGyZ0Ekjb0Uk23L6HnHz66WkcPj2WzNxW7t2viVupeCdql+fJF9fSsXHm99qBgxwdEgixVqqE9SfbtasGRcvXqRhw4Y899xzdLpaHxvMkbdjx46169+1a1fCw8Oz3F5ycjLJycm2+2fOnMnzmEUkn6SkQGSkmSX97TezrUoVmDDBHHlbooRd18wSnZklTStVMuc0yy2LxRwFO3kyNG6ccfv+/hmTsn37Qq9eOUvGppU+EBEpELGbOfH3FbvELVybrEzJWxHJL0reFrD8Grna5PXXqQXQvXu+bF8cxGLh2D33UH/ZMnjvPSVvRZzIxYsX8SrA+uJ+fn4sWbKEwMBAkpOT+d///kfnzp3ZsGED7du3ByA+Ph4fHx+79Xx8fIiPj89yu2FhYYSGhuZr7CKSx1JTYcUKc1jr/v1mW8WKMH48KSNGsfnHUlhXXUuArl6deQL1oYdgzpyME4/lJHFrsWQ+qjat1EFOkrJKxoqI00pNhTXP0PTvX+jtOopVKW1tD2myMhHJb6p5WxQYBlV+/NG83bWrY2ORPHc87VvMN9/c+vWLInJLUlJSmDlzJtWqVaN06dIcOXIEgClTprB06dJ8fe569eoxbNgwmjdvTlBQEIsWLeK+++5jzpw5dv0s6YpGGoaRoe16EydOJDEx0bYcO3YsX+IXkTxgGLByJdx5J/TvbyZuy5UzZxCLjSXq9vHUalTKboIxHx944IGMHyH++ANefjlj4jYnQkOzV3dWk4OJSGFmTbzAgc0r4O9fwKMM7e97BNern600WZmIFASNvC0CSv/xByVPnCDF3R3X6y6flaLhvK8vJxs2pOL+/fDBB/Dss44OSaTYeuGFF3j33Xd56aWXGDZsmK29SZMmzJs3jyFDhhRoPK1bt+b999+33ff19c0wyvbEiRMZRuNez9PTE09Pz3yLUUTygGHAF1/A1Kmwe7fZVLYsR/uOY9fdY6hU25uEtWY+N30y9uTJvA/n+rIIkyer7qyIFF2RO+KYGLWXZe5zwQV+8X+Avm0aEdToNo4mnKdWpZJK3IpIvtPI2yKgys6dAJxs3FgTWhVRf9xzj3nj3XdvbYiMiNyS9957jyVLlvDII4/gel124o477uCXX34p8Hh2796Nn5+f7X5QUBDR0dF2fdatW0ebNm0KOjQRyQuGAWvXYrRqDT17wu7dXClRmgN9J9Ok9FFui5jGg0O96dQJ/v3vgvmIkL4sgkbVikhRZU28wMSovTTmMK1dDnDZcGXIgRZYEy/g512CoNoVlbgVkQKh5G0RkFYy4URgoIMjkfzyZ9u2ULIkHDgA27Y5OhyRYuv48ePcnsmkkKmpqVy+fDlH2zp37hwxMTHExMQAEBsbS0xMDHFxcYBZzmDgwIG2/uHh4axatYqDBw/y888/M3HiRFasWMGTTz5p6zN69GjWrVvH7Nmz+eWXX5g9ezZff/01Y8aMyfnOiohDpKTAhvUG307+hsQmd0O3blh2/EASJZnNeHwvxNIw6nl+/rN8hvXyQ+XK9vczK4sgUhgsWrSIgIAAvLy8CAwMZPPmzdla77vvvsPNzY0777wzfwMUpxObkESqAcPdPgfg09Q2HDcqcDThvIMjE5HiRmUTCjnXCxeo+PPPgJK3RdmVUqXMayEjIuCtt0Cj6EQcolGjRmzevJmaNWvatX/88cc0a9YsR9vauXMnna4rdTNu3DgAHnvsMSIiIrBarbZELsClS5d45plnOH78OCVKlKBRo0Z88cUX9OjRw9anTZs2fPjhhzz33HNMmTKF2rVrExkZSatWrXKzuyKSh1JSMpYXAPu2hASIHLmRJ/+eyj1sAuACXixiJC8xnhNkXQIlr6WVRjh0CLZuVVkEKdwiIyMZM2YMixYtom3btrzxxht0796d/fv3U6NGjSzXS0xMZODAgXTu3Jm//vqrACMWZxBQqRQ1LX/R3eUHAJZcuU+Tk4mIQyh5W8hV2rMHlytXSPL1JalqVUeHI/lp6FAzeRsZaV6rWLasoyMSKXamTZvGgAEDOH78OKmpqURFRfHrr7/y3nvv8fnnn+doWx07dsS4wTXOERERdvfHjx/P+PHjb7rdfv360a9fvxzFIiL5KyoKRo+2nzSsYkXzZ1pN2iC2MoOpfMw3ACTjweuMYBYTiMeP/GSx2JdcuL40goeHWQ5BpDB75ZVXGDJkCEOHDgXMq1nWrl3L4sWLCQsLy3K9J554gocffhhXV1dWrVpVQNGKs/DzLsH09qU58X15fk2pziFqanIyEXEIlU0o5OxKJtxgNnEpAtq0gQYN4Px5+PBDR0cjUiz17NmTyMhI1qxZg8ViYerUqRw4cIDPPvuMLl26ODo8EXFCUVHQr5994hbMpO3Jk9CSH/iSbmylLffyDZdwZxH/oTaHGcP8fEvcWizm8t//QrVq9o+pNIIUJZcuXWLXrl0EBwfbtQcHB7N169Ys13vnnXc4fPgw06ZNy9bzJCcnc+bMGbtFCr/6bXqyq/e3XLl/AVsmdCKkZdYjtUVE8kuukrc5qRc0aNAgLBZLhqVRo0a2PhEREZn2uXjxYm7CKz4MA5+rk5WpZEIxYLGYo28B3nzTsbGIFGNdu3Zl48aNnDt3jvPnz7Nly5YMXwhFRMAslTB6dOYTiTXjRz7jfn6gFd1YyxVceZOh1OEgo1jEcfzzJIa0/+2njfRNk5agfeklOHoU1q+HZcvMn7GxStxK0ZGQkEBKSgo+PvZlR3x8fIiPj890nYMHDzJhwgQ++OAD3Nyyd7FqWFgY3t7etqV69eq3HLs4VuSOONrO+pYnI/czfNVxNv32t6NDEpFiKsfJ27R6QZMnT2b37t20a9eO7t2729Xlu978+fOxWq225dixY1SoUIEHH3zQrl/ZsmXt+lmtVry8vHK3V8VE6WPHKJGQQIqHByebNHF0OFIQBgwAd3fYuROuTnIkIiIijpWSAhs2wPLl5s9Ll8yf06dnHHHbhJ+Iog8/Esj9fEEKLkTwGPX4leG8SRw1Mz5BDqSvR+vvDytWwF9/ZZ2gdXU1SyM89JD5UzVtpSiypLtK0TCMDG0AKSkpPPzww4SGhlK3bt1sb3/ixIkkJibalmPHjt1yzOI48QkJbFm1BIthzgaZasCkqH1YEy84ODIRKY5yXPM2p/WC0v7zmGbVqlWcOnWKxx9/3K6fxWLB19c3p+EUa1V27QLgZOPGpHh6OjgaKRCVK0OfPvDRR7B0Kbz6qqMjEinyypcvn+mXu8z8888/+RyNiDhC+snG2rS5NonXwYPmBTHXJ2ldXc11rteQn5lGKP35GIBULCzjYWYwlYNkP0GUlbQ/U8uXmx8XMptgTLVrpTiqVKkSrq6uGUbZnjhxIsNoXICzZ8+yc+dOdu/ezZNPPglAamoqhmHg5ubGunXruOeeezKs5+npiae+kxUZ57e/x6vurxLi0ohHL08GIMUwOJpwXjVvRaTA5Sh5m1YvaMKECXbtN6sXdL2lS5dy7733Zpip+9y5c9SsWZOUlBTuvPNOZs6cmeOZu4sblUwopoYONZO3779vXutYQh8eRPJTeHi47fbJkyd5/vnn6dq1K0FBQQBs27aNtWvXMmXKFAdFKCJ5KX2iNiEBxo69eXI2/TbS1OMXpjKDf/MhLhikYuEj+hPKNH6hQZ7F7e9vTjCmcgci9jw8PAgMDCQ6Opo+ffrY2qOjo+nVq1eG/mXLlmXv3r12bYsWLeLbb7/lk08+ISAgIN9jFgdLuUKNX98G4KvUu2zNrhYLtSqVdFRUIlKM5Sh5m5t6QdezWq18+eWXLFu2zK69fv36RERE0KRJE86cOcP8+fNp27Yte/bsoU6dOpluKzk5meTkZNv94lYQ3u38eSocOADAX0reFi+dO0OtWmaBuhUr4NFHHR2RSJH22GOP2W4/8MADzJgxwzYSB+Dpp5/mtdde4+uvv2bs2LGOCFFE8khUlFmjNn2pg/RulLhNU5tDTGUGj/ABrqQC8AkPEMo09nFr5a6qV4e5c7MeYSsi9saNG8eAAQNo0aIFQUFBLFmyhLi4OEaMGAGYJQ+OHz/Oe++9h4uLC40bN7Zbv0qVKnh5eWVolyJq/yrczhzjokd5ViR3AMDFAi/2baxRtyLiEDkumwDZrxeUXkREBOXKlaN379527a1bt6Z169a2+23btqV58+a8+uqrLFiwINNthYWFERoamvPgi4hKe/bgcuUK5/z8OF+1qqPDkYLk4gJDhsCUKfDWW0reihSgtWvXMnv27AztXbt2zXBViogULlFR0K9f5pOL5UQtYnmO53mMd3HDzPKu5l9MI5Q93Jnj7SlRK3LrQkJCOHnyJDNmzMBqtdK4cWPWrFljuxrUarVmOYeLFDOGAd+FA3Cw1sNc/MnD1iwi4ig5mrAsp/WCrmcYBm+//TYDBgzAw8PjxkG5uNCyZUsOHjyYZZ/iXhA+rd7tiRYtHByJOMSgQWYSd+NG+O03R0cjUmxUrFiRlStXZmhftWoVFdNP5S4ihUJKCnzzDQwbdmtfzv05xus8wW/UZQhv40YKa+hOC3bQm9UZErcVK5rL9apXNysjpZ9Y7MEHNaGYyK0aOXIkR48eJTk5mV27dtG+fXvbYxEREWzYsCHLdadPn06MJgsuHg5/C/F7SXUrwWN77yDtbcFAE5aJiOPkaORtTusFXW/jxo0cOnSIIUOG3PR5DMMgJiaGJk2yvqSsWBeENwyq/PgjACeaN3dwMOIQ/v7Qowd8/rk5+vallxwdkUixEBoaypAhQ9iwYYOt5u3333/PV199xVtvveXg6EQkp7JbJuFGqnKciYQxjDfx5BIAawlmGqFsp3WG/s89Z1ZAatfOvH99fV2NqBURcbAt8wCIv/3f/BNTxu4hTVgmIo6S47IJOakXdL2lS5fSqlWrTOsEhYaG0rp1a+rUqcOZM2dYsGABMTExLFy4MJe7VbSV+f13SiQkkOLhwUnVXSq+hg0zk7fvvAMzZ0Jx/WeGSAEaNGgQDRo0YMGCBURFRWEYBg0bNuS7776jVatWjg5PRHLgVssk+BDPBGYxgtfxwpyH4Vs6MZUZfMfdGfpbLOb/XqdPt0/QduyYu+cXEZE8dikJUq+Aixuudz+Jy55fSb3uPUITlomIo+Q4eZubekGJiYmsWLGC+fPnZ7rN06dPM3z4cOLj4/H29qZZs2Zs2rSJu+66K9P+xV1ayYSEO+4gVQm74uu++8zrK48dg08+gUcecXREIkXa5cuXGT58OFOmTOGDDz5wdDgicgsuXYIRI3KXuK3E34znJUaxkJKYl89u5m6mMJONdMx0nbSpIcLDNbJWRMRpeZSCwV/BycOkulVlyN2XWLolllTDTNxqwjIRcZRcTVg2cuRIRo4cmeljERERGdq8vb05f/58ltubN28e8+bNy00oxZKt3q1KJhRvrq4wfLg5cdnixUreiuQzd3d3Vq5cyZQpUxwdiojcgqgoeOIJSEjI2XoVOMkzzOEpXqU0SQB8TyumMJOvuRe4Nnmvq6tZSzeNv7+ZuO3b99bjFxGR/BV5xJ2JUd+Saph/2Ye3D+DxtgFK3IqIw+RowjJxPLekJCocOABosjIBhg4FNzf47jv46SdHRyNS5PXp04dVq1Y5OgwRyaW0Ugk5SdyW4xShTCWWACYyi9IksYMWdGcNQWzja7rg728hNPTaJGPnz2ecdEyJWxERJ/bLGjj/D9bEC0yM2msrl2AASzcfdWRkIiK5G3krjlN5zx5cUlI4V60a5319HR2OOJqvr/lt8KOPzNG3ixc7OiKRIu32229n5syZbN26lcDAQEqVKmX3+NNPP+2gyETkZlJSzMnJslsqoSyJjGY+/2d5BW8jEYBTNZvyx7AZNH2mJ89uszDwBhONqZatiEghceZP+GgguLpzvOdauzq3oInKRMTxlLwtZCqrZIKk95//mMnb//0PZs+GsmUdHZFIkfXWW29Rrlw5du3axa6rf4/TWCwWJW9FnNjmzfDHHzfvV4pzPMWr/NcyhwrGP+awq0aNIDSU8n36UN7FvHBNyVkRkSJi20JIvQz+LalWsw4ulmOaqExEnIqSt4VJaio+acnbwEAHByNOo0MHaNAADhyA99+HLOpRi8iti42NdXQIIpJLVuuNHy9JEiNZxHheojIJZtK2fn2YPh0efBBcVG1MRKTIOf8P7HzHvH33GPy8S/Bs9/rM/vIXTVQmIk5Dn0ILEe/Dh/H65x+ulCjBySZNHB2OOAuLxZwyG8yyCbmZOltEciQhIYGTJ086OgwRyQE/v8zbvbjAGOZxhNt4mfFUJoFzvrfDe+/Bvn0QEqLErYhIUfXDm3A5CXwaQ51gInfE2RK3FmB8t3qEtKzh6ChFpJjTJ9FCxGfHDgD+vvNOUt3dHRyNOJWBA6FkSfNL5pYtjo5GpEg6ffo0o0aNolKlSvj4+FClShUqVarEk08+yenTpx0dnojcRLt24O9v/s8TwINkRvEah6nNPMbhwwl+dwngypvvUPrYARgwIGMhWxERKTouJcH2183bd4/FeuZihsnKXvrqV6yJFxwWoogIqGxCoeL7ww8AxN91l4MjEadTrhw8/DC89ZY5+rZdO0dHJFKk/PPPPwQFBXH8+HEeeeQRGjRogGEYHDhwgIiICL755hu2bt1K+fLlHR2qiGTB1RXmz4eHHrjE47zDJF6gBscA+J0avMBzdF8+iJr99Q9yEZFiYde7cOEfKB8ADXsTe/S0JisTEaek5G0h4ZWQgPeRIxgWi+rdSub+8x8zefvJJxAeDlWqODoikSJjxowZeHh4cPjwYXx8fDI8FhwczIwZM5g3b56DIhSR66WkmBOUWa1muYQ2bWDbpstU++o9/io3k3KnfwfgD6rxApOJ9h/MS/M96dPXwYGLiEjBOX8SXNyh7WhwdSOgUilcLGiyMhFxOiqbUEiklUw4Va8el8qVc2ww4pyaN4dWreDyZXjzTUdHI1KkrFq1ijlz5mRI3AL4+vry0ksvsXLlSgdEJiLpRUVBrVrQqZN5Ucq9na4w3Os9qnVpQKs3h1Lu9O/85eLLV93n813EIULW/4dfj3rSV4lbEZHipfMUGL0H7nwYAD/vEoT1bYLr1fo6mqxMRJyFRt4WEj5XSyb8pZIJciNPPgnbt8OiRfDf/4KHh6MjEikSrFYrjRo1yvLxxo0bEx8fX4ARiRRvmY2s3boVVq82Lz4BcCGFECKZRij1jN8A+IsqzGICb6SO4OJXJfhkKHTs6LDdEBERR/OuhjXxArEJCQRUKkVIyxq0r1uZownnqVWppBK3IuIUlLwtBFwvXqTSTz8BqncrN9G/v5m0/fNPs3zCww87OiKRIqFSpUocPXoUf3//TB+PjY2lYsWKBRyVSPEUFQWjR8Mff1xrc3U1E7oAFlJ5gBVMZzqN2A9AAhV5ifEsZBTnKXW1H4wZA716aV4yEZFi5eh34FUWfJsQuSPONkmZiwXC+jYhpGUNJW1FxKmobEIhUDkmBtfLl0ny8eFc9eqODkecmYcHjBxp3g4PB8O4YXcRyZ5u3boxefJkLl26lOGx5ORkpkyZQrdu3RwQmUjxEhUF/frZJ24hLXFr0JuVxHAnH9OfRuznH8oziRcIIJaXGW9L3IL5FnnsmDmCV0REionUVPh8LLx+N6d+WG5L3IJZ63ZS1D6siRccG6OISDoaeVsI2JVMuFp/RyRLTzwBzz8PO3bA999DUJCjIxIp9EJDQ2nRogV16tRh1KhR1K9fH4D9+/ezaNEikpOT+d///ufgKEWKtpQUc8Rtxv9LGtzHF8xgKs3ZDUAiZXmFcYQzhjN433C7Vmv+xCsiIk7ol88g4Vfw9Oa3Mq1JNfbbPZxiGBxNOK+RtyLiVJS8dXapqVTZuRNQvVvJpipV4JFH4J13YP58JW9F8oC/vz/btm1j5MiRTJw4EeNq9shisdClSxdee+01quvKCJE8lb6u7eXL6UfcGnRlLTOYyl2YE7uepTThjOEVxnGa8tl6Hj+/vI9dRESckGHAppfN262eoEZVX1ws+20jb8GcpKxWpZKOiU9EJAtK3jq5cgcP4nX6NJdLluRkw4aODkcKi9GjzeTtJ5+Y14QqqSRyywICAvjyyy85deoUBw8eBOD222+nQoUKDo5MpOjJrK7ttYuPDO7hW2YwlbZsBSCJkrzKU8zhGU5SKVvPYbGAvz+0a5e3sYuIiJM6uA7i94J7KWj9H7gMQ+4OYOmWWFINM3H7Yt/GGnUrIk5HyVsn53u1ZMKJ5s0x3N0dHI0UGk2bmtNnb9gAixZBWJijIxIpMsqXL89duhJC5JalH1nbpg1s3QqrV5tl29MzDGjPRmYwlQ5sAuACXixkFC8xnr+pku3nTksEh4drsjIRkWLBMGDjS+btloOJ/PkcE6O2kWqYE1gObx/A420DlLgVEaek5K2Ts9W7bdnSwZFIoTN6tJm8feMNmDIFSuryHxERcQ6Zjax1dU2beCyjILYyg6ncyzcAXMSTN3iCWUwgnpvXPUi/bX9/M3Hbt+8t7ISIiBQeh7+B4zvBzYu/Gg9n4qvXJiozgKWbj/J42wCHhigikhUlb51YiRMnKPv77xguLpwIDHR0OFLY9OwJAQEQGwvvvw/Dhzs6IhEREaKioF+/jBOPZZa4bckPzGAq3VgLwCXceZNhhDGR4/jf9LnGjIFeva6N6k0b5duunUbciogUK8nnoFQVaNKPwxdK2tW5BU1UJiLOzcXRAUjW0kbd/tOgAZfLlnVwNFLouLrCU0+Zt+fPz2x6bhFxoE2bNtGzZ0+qVq2KxWJh1apVN+wfFRVFly5dqFy5MmXLliUoKIi1a9fa9YmIiMBisWRYLl68mI97IpJ9KSnmiNubvSU1ZxefcT8/0IpurOUybrzBcOpwkCdZmCFx65LuE2316rBiBcybZ1YR8vAwfz70kPlTiVsRkWKmUW8YvQc6TiCgUilcLPYPa6IyEXFmSt46Md/t2wGIV21Fya3Bg6F0adi/H9IleUTEsZKSkmjatCmvvfZatvpv2rSJLl26sGbNGnbt2kWnTp3o2bMnu3fvtutXtmxZrFar3eLl5ZUfuyCSY5s325dKSO8O9rCS3uyiBffzBVdw5R0GUY9fGcEbxFEz0/W+/BLWr4dly8yfsbEqiSAiIul4lAQvb/y8SxDWt4ktgetiQROViYhTU9kEJ+V+9iwV9+4FIL5VKwdHI4WWtzcMG2YOPXrpJejWzdERichV3bt3p3v37tnuH55uBqcXX3yR1atX89lnn9GsWTNbu8ViwdfXN6/CFMmRrCYhS7t/7Fjm6zXkZ6YznQf5xNwOLizjYWYwlUPUyfL5LBazfm3nzhpNKyIimYj7Hs78CQ17Z7hMI+0qEF2gKCLOTslbJ+Xzww+4pKaSWKsW56tWdXQ4UpiNGQOvvmoORdqxAzT5nUiRkJqaytmzZ6lQoYJd+7lz56hZsyYpKSnceeedzJw50y65m15ycjLJycm2+2fOnMm3mKXouT5Ze/AgvPnmjSchS1/eoC6/Mo1Q/s2HuGCQioWP6E8o0/iFBjd8bsvVEVPh4UrciohIJgwDoqfCse1wz2Fo/18ArIkXmBi1l7ScrQFMitpH+7qVNfpWRJySkrdOyu/77wGIDwpycCRS6NWoYRb5+9//4OWX4aOPHB2RiOSBuXPnkpSURP/+/W1t9evXJyIigiZNmnDmzBnmz59P27Zt2bNnD3XqZD56MSwsjNDQ0IIKWwq5myVrM+t/vdRU82dtDjGVGTzCB7hiNn7CA4QyjX00yXRb6RPB/v5m4lblEUREJFNH1puJWzcvaDbA1hybkKQJy0SkUFHy1gm5XrhA5as1DK2tWzs4GikS/vtfM3m7YgUcOgS33+7oiETkFixfvpzp06ezevVqqlSpYmtv3bo1ra9732jbti3Nmzfn1VdfZcGCBZlua+LEiYwbN852/8yZM1SvXj3/gpdCKyrKnGzsRsnam6lFLM/xPI/xLm6YmdhP6ck0Qokh8xHiY8ZAr14ZSzC0a6cRtyIikgXDgPVh5u0Wg6HMtZJSaROWXZ/A1YRlIuLMlLx1QlV+/BHXS5dI8vXlbK1ajg5HioImTaBHD1izBl55BRYtcnREIpJLkZGRDBkyhI8//ph77733hn1dXFxo2bIlBw8ezLKPp6cnnp6eeR2mFDFRUdCvX+7rAlYnjsm8wGDexp0rAHxBD6YRyi5aAGZJhbSRuQDVq2ccWduxY+6eX0REiplD38AfP5ijbtuOtnsobcKySVH7SDEMXC0WTVgmIk5NyVsn5Hu1ZII1KOhaQTeRWzV+vJm8fecdmD4drhutJyKFw/Llyxk8eDDLly/nvvvuu2l/wzCIiYmhSZPML0MXuZmUFNiwwZz7MjeJ26ocZyJhDONNPLkEwDq6MI1Qvse+NFREhJmw1chaERG5JYYB6583b7ccajfq1pp4gdiEJNrXrcyWCZ04mnCeWpVKKnErIk5NyVsn43L5Mj47dgCqdyt5rH17uOsu+OEHcwKzmTMdHZFIsXbu3DkOHTpkux8bG0tMTAwVKlSgRo0aTJw4kePHj/Pee+8BZuJ24MCBzJ8/n9atWxMfHw9AiRIl8Pb2BiA0NJTWrVtTp04dzpw5w4IFC4iJiWHhwoUFv4NS6N1KmQQf4pnALEbwOl6YE+J9SyemEcoW2mW6TvXqGlkrIiJ54Ncv4c/d4F4K2o6xNUfuiGNi1F5SDXCxQFjfJoS0rOG4OEVEssnl5l2kIFX66Sfcz5/nYoUKnKpb19HhSFFisZijbwFeew00o7yIQ+3cuZNmzZrRrJlZ53PcuHE0a9aMqVOnAmC1WomLi7P1f+ONN7hy5QqjRo3Cz8/Ptowefe1SwNOnTzN8+HAaNGhAcHAwx48fZ9OmTdx1110Fu3NSaKSNrF2+3Px56ZL5c+xYeOCBnCduK/E3L/FfjnAbY5iPF8ls5m468S2d+TbTxK3FYiZu22We0xUREcmZUpWgWiC0Gg6lKwPmiNu0xC2Y9W4nRe3DmnjBgYGKiGSPRt46Gd9t24CrE5W5KLcueaxPH2jQAA4cMBO4kyY5OiKRYqtjx44YN7gOPSIiwu7+hg0bbrrNefPmMW/evFuMTIqLzEbWurqaCd2cqsBJnmEOT/EqpUkC4HtaMYWZfM29QOZloNKqQ4WHq0SCiIjkkep3wdBvIOWSrSk2IclugjKAFMPgaMJ5lUwQEaeXq+zgokWLCAgIwMvLi8DAQDZv3pxl3w0bNmCxWDIsv/zyi12/FStW0LBhQzw9PWnYsCErV67MTWiFW0oKvtu3AxB/3WzhInnGxQUmTzZvv/IKnDvn2HhERKRApY20zWpkbU4Tt96cJpSpxBLARGZRmiR2EkgPviCIbax37cL1idv0CVp/f/jkE/tJyURERG6ZxQJu1yZkDahUCpd0/0d0tVioValkAQcmIpJzOU7eRkZGMmbMGCZPnszu3btp164d3bt3t7u0MzO//vorVqvVttSpU8f22LZt2wgJCWHAgAHs2bOHAQMG0L9/f7ZfTWQWFxUPHMAzMZFLpUtzsnFjR4cjRVVICNSuDSdPwuuvOzoaERHJR9eXRZgxA2rVgk6dzJGut6IsiUxhBkepxVRmUpazxNCUwRVXs2b6DgYs68H69RbOn4f162HZMvNn+vuxsUrciohIHvnxf7A+DC5mLA/n512CZ7vXtyVwXS0WXuzbWKNuRaRQyHHZhFdeeYUhQ4YwdOhQAMLDw1m7di2LFy8mLCwsy/WqVKlCuXLlMn0sPDycLl26MHHiRAAmTpzIxo0bCQ8PZ/ny5TkNsdCqenUEc3zr1hhuqmgh+cTNzSyXMGQIzJkDo0ZBCX1oEREpam5lwrGslOYsT/EqzzCHCpwC4K8qjfnt4emk9OzDmx1cMoyuTT8JmSYlExGRPHcpCb6ZAUknoHQVaDnE7uHIHXHM/vIXUg3zepDx3eppsjIRKTRyNPL20qVL7Nq1i+DgYLv24OBgtm7desN1mzVrhp+fH507d2b9+vV2j23bti3DNrt27XrTbRYllpQU/K7u75933+3gaKTIGzAAatSAv/6Ct95ydDQiIpLHoqKgX7+8S9yWJIlneJkj3MaLTKYCp0iqUZ/UZR/iY91Du3kP0PGejIlbERGRArH9dTNxW64mNBtg91D6ycoM4KWvftVkZSJSaOQoeZuQkEBKSgo+Pj527T4+PsTHx2e6jp+fH0uWLGHFihVERUVRr149OnfuzKZNm2x94uPjc7RNgOTkZM6cOWO3FGYV9+41SyaUKUPCHXc4Ohwp6tzdYcIE8/bs2ZCc7Nh4RETklqWVSPjgAxgxAm4wH162eXGB0YRzhNt4mfFUJoHfqMOOp/9HqSP7cHkoRBOsioiIY104Bd/NN293mgRuHnYP32iyMhGRwiBX1+ZbLPaVvg3DyNCWpl69etSrV892PygoiGPHjjFnzhzat2+fq20ChIWFERoampvwnVLVLVsAsLZpo5IJUjAefxyefx6OH4elS2HkSEdHJCIiOZCSAps3g9UKBw/Cm2/m3UhbD5IZxptM4kWqYgXgCAG8VmEq7V5/lD4P6rOKiIg4iS3hcDERKjeAJg9meDhtsrLrE7iarExECpMcDZWoVKkSrq6uGUbEnjhxIsPI2Rtp3bo1Bw8etN339fXN8TYnTpxIYmKibTl27Fi2n9/ZWK5cwW/bNgCOq2SCFBQvL7haZ5oXXoALumxIRKSwiIq6NvnYww/DtGl5k7h15xLDeYND3M5rPEVVrPxODSI7L+FY9K+8fGKQErciIuI8/v4Nti00b3eeCi7X6vdYEy+w9XACAGF9m+B6dXCYJisTkcImR5++PTw8CAwMJDo6mj59+tjao6Oj6dWrV7a3s3v3bvz8/Gz3g4KCiI6OZuzYsba2devW0aZNmyy34enpiaenZ07Cd1qV9uzB4+xZLpYrx8nGjR0djhQnw4bByy9DXBwsXgzjxjk6IhERuYm0erZ5URYhjRuXGch7TGEmtfgdgD+oxqLyz9Fy8WBCQjxusgUREREHiJ4CqZehTjDU625rjtwRZ6tz62Ixk7dbJnTiaMJ5alUqqcStiBQqOR46MW7cOAYMGECLFi0ICgpiyZIlxMXFMWLECMAcEXv8+HHee+89AMLDw6lVqxaNGjXi0qVLvP/++6xYsYIVK1bYtjl69Gjat2/P7Nmz6dWrF6tXr+brr79my9VSAkXd9SUTNNOHFChPT5g6FYYOhbAwGD4cSpd2dFQiIpKFlBQYPTrvEreuXOFhljHXewaVEw8DkFzBl333TyTpkeHM7OyljyYiIuK87psLHqXMUbdXR9amn6As1YBJUfvYMqETQbUrOjBYEZHcyXHyNiQkhJMnTzJjxgysViuNGzdmzZo11KxZEwCr1UpcXJyt/6VLl3jmmWc4fvw4JUqUoFGjRnzxxRf06NHD1qdNmzZ8+OGHPPfcc0yZMoXatWsTGRlJq1at8mAXnZvL5cv4ff89AH+qZII4wsCBMGsWHDoECxbApEmOjkhERNJJq2/7zTd5Ux7BhRRCiGSmWyi1r/wGiUCVKjBhAp4jRhBYQiOSRESkEPD2h35v2zXdaIIyjbgVkcIoV0XLRo4cycgsJjeKiIiwuz9+/HjGjx9/023269ePfv365SacQq3y7t24JyVxoUIF/mnY0NHhSHHk7g6hofDII2YJhZEjoVw5R0clIiJXRUWZo23zImlbvVoqc9uuIPi76Xgf3w9XgIoV4b//hSefhFKlbv1JRERE8lvCQahUJ9OHNEGZiBQ1OZqwTPJe1c2bAbC2bQsu+nWIg4SEQKNGcPo0zJ3r6GhEROSqtPq2t5K4rVwZ3v+fwd4ZK/m9wp08+FF/M3Fbrhw8/zzExsKzzypxKyIihUPcdnitJUQNh9SUDA/7eZfg2e71cTGrKGiCMhEp9JQtdCDXCxfw3b4dgD/btXNwNFKsubrCzJnm7XnzID7esfGIiMgt17e1WMCCwaqhn/PIK4E0ntoXy969ULYsTJsGR4/C5MlQpkyexi0i4owWLVpEQEAAXl5eBAYGsvnqIJrMREVF0aVLFypXrkzZsmUJCgpi7dq1BRitZCnlMnw+FjDA1R1cMhZmj9wRx+wvfyHVAAswvls9QlrWKPBQRUTyipK3DuT3/fe4XbzIOT8/TtWr5+hwpLjr3RtatYKkJJg+3dHRiIgUe5s338qIW4NHKn5Fwu2taBPWE3bvNiekfO45M2k7fTp4e+ddsCIiTiwyMpIxY8YwefJkdu/eTbt27ejevbvdXC3X27RpE126dGHNmjXs2rWLTp060bNnT3bv3l3AkUsG3y+GEz9DiQpw74wMD6efrMwAXvrqV6yJFwo2ThGRPKTkrQP5r18PwB+dOtlmxhRxGIsF5swxb7/1Fhw44Nh4RESKOas1Z/39/SF0usE3E7/mdKO2/C+hOxUO7YCSJWH8eLM8wsyZUL58/gQsIuKkXnnlFYYMGcLQoUNp0KAB4eHhVK9encWLF2faPzw8nPHjx9OyZUvq1KnDiy++SJ06dfjss88KOHKxc/oYbAgzbwfPhFIVM3S50WRlIiKFlZK3DuJ18iSVfvoJgOMdOzo2GJE0d99tjsBNSTHrH4qIiMP4+WWv33PPwfr1cPTdjUz9tiP3hHXB++dt4OUF48aZSdvZs6FSpfwNWETECV26dIldu3YRHBxs1x4cHMzWrVuztY3U1FTOnj1LhQoV8iNEya4vx8Pl81CjDTR9ONMuaZOVXU+TlYlIYafkrYNU27gRS2oqJxs25Lyvr6PDEblm1iyzBu5nn8GGDY6ORkSk2GrXzhxNm9XFORYLVK8O07t8R8eZnXHt3BE2bQIPD3jqKThyxJyEskqVAo1bRMSZJCQkkJKSgo+Pj127j48P8dmc52Hu3LkkJSXRv3//LPskJydz5swZu0Xy0C9fwK9rwMUN7n8ly8m+/bxLENa3Ca5X3zw1WZmIFAVujg6gWDKMayUTNOpWnE29evDEE7BoETzzDPzwQ5YfjkREJP+4usL8+dCvn5movX7iMosF7jK2s7riNFw7XJ1Ex90dhg6FSZPMrK+IiNhY0v0nzDCMDG2ZWb58OdOnT2f16tVUucE/w8LCwggNDb3lOCULLm5Qxg+a/huqNLB7yJp4gdiEJAIqlcLPuwQhLWvQvm5ljiacp1alkkrcikihp4yMA5SNjaXs77+T4u6O9e67HR2OSEbTppmzj+/aBcuXOzoaEZFiq29f+OQTqFbtWltzdhHteT/f0xqfmLXg5gbDhsHBg+Y/3pS4FRGxqVSpEq6urhlG2Z44cSLDaNz0IiMjGTJkCB999BH33nvvDftOnDiRxMRE23Ls2LFbjl2uU7crjPoB2o+3a47cEUfbWd/y8JvbaTvrWyJ3mJPQ+XmXIKh2RSVuRaRIUPLWAdJG3f7VsiWXS5d2cDQimahSBSZMMG+PHw/nzjk2HhGRYqxvXzh6FH54cw9xLfqwixZ0vviFeVXEoEHwyy+wZAnUrOnoUEVEnI6HhweBgYFER0fbtUdHR9OmTZss11u+fDmDBg1i2bJl3HfffTd9Hk9PT8qWLWu3SB7zKgse12rXWhMvMDFqr22CslQDJkXtw5p4wUEBiojkDyVvC5glJYVqmzYB8Mc99zg4GpEbGDcObrsN/vwTXnjB0dGIiBRfP/+M678fpOWwO6m+c5VZM+HRR82k7TvvQO3ajo5QRMSpjRs3jrfeeou3336bAwcOMHbsWOLi4hgxYgRgjpodOHCgrf/y5csZOHAgc+fOpXXr1sTHxxMfH09iYqKjdqF4Sk2F5Q9BzDL72kFXxSYk2RK3aVIMg6MJ5wsoQBGRgqHkbQGrHBOD16lTJJcty4nmzR0djkjWvLxg3jzz9ty55uW4IiJScH79FR5+GJo0MWsnWCwQEgI//wz/+x/UqePoCEVECoWQkBDCw8OZMWMGd955J5s2bWLNmjXUvHrFgtVqJS4uztb/jTfe4MqVK4waNQo/Pz/bMnr0aEftQvG0+z1zkrI1/4WkvzM8HFCpFC7pyha7WizUqlQyQ18RkcJME5YVsBrr1gFwvEMHDDe9/OLkevaEbt3gq69gzBj44gtHRyQiUuSl/HqIv5+eSZXo93ExUs3GBx6A6dOhcWOHxiYiUliNHDmSkSNHZvpYRESE3f0NGzbkf0ACZJxszObc3xA9zbx9z3NQOuNkcX7eJQjr24RJUftIMQxcLRZe7NtYdW5FpMhR9rAgxcfj88MPAMQFBzs4GJFssFggPNwc9bVmDXz+Odx/v6OjEhEpmmJjOTr0efy/fRdfUgBYRS8WV5nOEw/fSV/lbUVEpAiJ3BFnq1nrYoGwvk0IaVnDfHDdc3DxNPjeAS2HZbmNkJY1aF+3MkcTzlOrUkklbkWkSFLZhIIUEYFLSgr/1K/PWU0qIoVFvXrmqFswf1686MhoRESKnrg4eOIJUuvUpda3b+NGCl/QgxbsoA+riP77Tvr1g6goRwcqIiKSN2442VjsJvjpQ8AC94eD643HnPl5lyCodkUlbkWkyFLytqCkpsKbbwLwe9euDg5GJIemTAE/Pzh8WJOXiYjklePH4cknzdq1S5bgknKFtQTTmm3czxfsogVwbY6WMWMgJcVx4YqIiOSVrCYb+/2vU/D5OLOh5RDwDyz44EREnIyStwVl/Xo4coTLJUtibdvW0dGI5EyZMvDqq+btWbNg3z7HxiMiUpjFx8OYMRi1a8PChXDpEnF17uFuNtONtWyndYZVDAOOHYPNmx0Qr4iISB7LarKxukk74ORBKO0D90xxTHAiIk5GyduCsmQJAH907EiKl5eDgxHJhb59oVcvuHIFhg83R5OLiEj2nTgBzzwDt90G8+djSU5mM3fTiW+pefAbvuPum27Cai2AOEVERPKBNfECWw8nYE28YJtszNViZnDTJhur0KwXDF4LvRZCiXKODVhExElowrKC8PffsHIlAHEqmSCFlcUCr70G33wD27bB669DFjP2iojIdU6ehDlzzCsYkpIA2EZrpjCTb+gMWG68/nX8/PIpRhERkXyU1eRkmU42ViPjFSgiIsWZRt4WhHffhcuXoWVLzgQEODoakdzz94ewMPP2hAlmvUYRyZVNmzbRs2dPqlatisViYdWqVTddZ+PGjQQGBuLl5cVtt93G66+/nqHPihUraNiwIZ6enjRs2JCVV/95KA5w6hRMmYJRq5ZZciYpiTN1WzCg4hrasJVvuJfsJm4tFqheHdq1y9eIRURE8tyNJiezTTb2z07454hjAxURcVJK3ua31FRbyQSGD3dsLCJ54T//gdat4exZ87Zh3HwdEckgKSmJpk2b8tprr2Wrf2xsLD169KBdu3bs3r2bSZMm8fTTT7NixQpbn23bthESEsKAAQPYs2cPAwYMoH///mzfvj2/dkMyk5gIM2ZAQAA8/zyWc+eIoSn/YjXev/3A+ye7k5PRtlevKCU8HFxd8yViERGRfJPV5GRHE86bdy4mwoohsCgIft9a8AGKiDg5lU3Ib9HRcPAglC0L//63OXGZSGHm6gpvvgmBgfDZZ+bI8kGDHB2VSKHTvXt3unfvnu3+r7/+OjVq1CA8PByABg0asHPnTubMmcMDDzwAQHh4OF26dGHixIkATJw4kY0bNxIeHs7y5cvzfB8knXPnzNIIL79sjroF9tKYaYSyit4Yufyfub+/mbjt2zcPYxURESkgaZOTXZ/AdbVYqFWppHnn2+fh3F9Q8XaoFuiYIEVEnJiSt5n47LPP8mxbd82YgQ9wpGNHfi6AxG1exi6SpcaNzVFlEybA6NFwzz1Qo4ajoxIp0rZt20ZwcLBdW9euXVm6dCmXL1/G3d2dbdu2MXbs2Ax90hK+cmtSUmDzZnPSMD8/s4SBqytmHdtFizBeeglLQgIASTUa8My56bzxT79cJW3nzQMfn3TPIyIiUgilTU42KWofKYZhm5zMz7sEHP8RfnjT7HjfXHDzdGywIiJOSMnbfFTqzz/x2bkTw2IhtkcPR4cjkreeeQZWrzYnL3v8cXOUuYsqsYjkl/j4eHx8fOzafHx8uHLlCgkJCfj5+WXZJz4+PsvtJicnk5ycbLt/5syZvA28EMkyOQtERZn/q/rjj2v9b692gRVdXueONbPgxAkswG/UYQZTWR73EKnkPONqsZgjbZ96SglbEREp3KyJF4hNSCKgUqnMJydLuQKfjwEMaNIfbuvo4IhFRJyTkrf5qNYXXwBwIjCQ81WrOjgakTzm6mqWTLjzTvj2W1i40Mw2iEi+sVjs66QaV2tOX9+eWZ/0bdcLCwsjNDQ0D6MsnDJLzvr7w/z55u1+/a6V+PYgmWG8yaTjL1I1wgrAYW5jBlP5gEdIyeXHK9W2FRGRoiJyR5xtkjIXC4T1bUJIyxpm0jbNlnlg3QOe3tD1BccFKyLi5DRMLp+4nT9P9a+/BiC2Z08HRyOST+rUgZdeMm8/+yz88otj4xEpwnx9fTOMoD1x4gRubm5UrFjxhn3Sj8a93sSJE0lMTLQtx44dy/vgnVxUlJmcvT5xC3D8ODzwgDnfqGGAO5d4gtc5xO28xlNUxcrv1GC45U3q8wvv8ViuE7dgJos/+US1bUVEpHCzJl6wJW7BrHU7KWof1sQL1zod3wXrryZsu8+C0lUKPlARkUJCydt8UiM6GvcLFzhXrRp/N23q6HBE8s9//gNdusCFCxASYv4UkTwXFBREdHS0Xdu6deto0aIF7u7uN+zTpk2bLLfr6elJ2bJl7ZbiJCXFHHFrGBkfS2tLPHmZwSzlN+ryOv+hOn/wB9X4D4uow0HeNIZyBfccPW9aeYSvv4Zly8z5TGNjlbgVEZHCLzYhyW5yMoAUw+BowvlrDX53QodnIXAQ3PlwQYYnIlLoqGxCPrBcucJtq1cDcLhXL9UBlaLNxcUsn9C0Kfz0E4wbB4sXOzoqEad37tw5Dh06ZLsfGxtLTEwMFSpUoEaNGkycOJHjx4/z3nvvATBixAhee+01xo0bx7Bhw9i2bRtLly5l+fLltm2MHj2a9u3bM3v2bHr16sXq1av5+uuv2bJlS4Hvn7O4UR1bMB9LP+I2jStXeIQPmMoManMEACu+hDGRJQwnGa9cxZRWHmH+fOjcOVebEBERcVoBlUrhYsEugetqsVCrUslrDS6u0Gli5v89FRERO8oq5oOqmzdTIiGBZG9v/rjnHkeHI5L//Pzg/ffN26+/Dh9/7Nh4RAqBnTt30qxZM5o1awbAuHHjaNasGVOnTgXAarUSFxdn6x8QEMCaNWvYsGEDd955JzNnzmTBggU88MADtj5t2rThww8/5J133uGOO+4gIiKCyMhIWrVqVbA75ySioqBWLejUCR5+2PxZq5bZnsZqzbieCyk8xDJ+phHvMojaHOEElRnHXG7jCK/ydK4Tt6DyCCIiUjRZEy+w9XACYNa4db3630pXi4UX+zY2693uWwGXL15b6QZ1+UVExKSRt3nNMLj96rfCIz17kurh4eCARApIcDBMmACzZsHQoRAYCLfd5uioRJxWx44dbROOZSYiIiJDW4cOHfjxxx9vuN1+/frRr1+/Ww2v0EurY5v+JT5+3GxPS576+V17zEIq/fiE6UynIQcASKAiLzGehYziPKUyfS5XV0hNzXzwkMUC1apBRAScOJH56F8REZHCLrMJyrZM6MTRhPPUqlTSTNzu/QRWDDFLJgxZB26ejg5bRKRQyNXI20WLFhEQEICXlxeBgYFs3rw5y75RUVF06dKFypUrU7ZsWYKCgli7dq1dn4iICCwWS4bl4sWLWWzVeVX+8UfK/v47V7y8+L1HD0eHI1KwZsyAoCA4cwb691f9WxFxiOzUsR0zxuzXrh34VzPow0piuJOPCKEhBzhFOSbzPLcRy9sVx3PBUirD4CCLxVzGjbt2P/3jcK08wkMPQceOStyKiEjRktUEZQBBtSuaidu/9sOnT5sdbu+sxK2ISA7kOHkbGRnJmDFjmDx5Mrt376Zdu3Z0797d7tLO623atIkuXbqwZs0adu3aRadOnejZsye7d++261e2bFmsVqvd4uWV+0sSHeX2FSsA+L1rVy6XLu3gaEQKmLs7fPghVKgAu3aZk5mpjpWIFLAb1bEF88/SsWOweZOB65efs9cjkCj6cgd7SaQs05lGLY4SZpnMOUsZliwxR+pWq2a/nbTyBy+9dOPHVR5BRESKsptOUHY2Hpb1h8tJENAeOk0u+CBFRAqxHJdNeOWVVxgyZAhDhw4FIDw8nLVr17J48WLCwsIy9A8PD7e7/+KLL7J69Wo+++wzW50/AIvFgq+vb07DcSoV9+2j0r59pLi5ceRf/3J0OCKOUaMGfPSRWUbh3XeheXN4+mlHRyUixUhmdWztGXRlLU2GToUjOygHXPYqzWL30Uw/O45TVACguj+Eh19LvvbqlfXkZ3373vhxERGRouqGE5RdSoJlIZB4DCreDg++a05WJiIi2ZajkbeXLl1i165dBAcH27UHBwezdevWbG0jNTWVs2fPUqFCBbv2c+fOUbNmTfz9/bn//vszjMwtDOpenfH7WJcuXKxc2cHRiDhQ587w8svm7XHjYMMGh4YjIsXL9XVs7Rncwzds4W6+ojsVj+yAkiXh2WdxPxbLqFPPE7W+AsuWwfr1EBtrP2rW1dUse5BV+YObPS4iIlIU+XmXIKxvE1yulgtysWBOUFbGA1YMBWsMlKwIj3wMJSvccFsiIpJRjkbeJiQkkJKSgo+Pj127j48P8fHx2drG3LlzSUpKon///ra2+vXrExERQZMmTThz5gzz58+nbdu27Nmzhzp16mS6neTkZJKTk233z5w5k5NdyXMVfv6ZSnv3kurmxiFNFCMCY8fCjz/CBx/Agw/Cjh3mNO8iIvmsXTuzZMHx49cqt7RnIzOYSgc2AXDR4oXHmFG4TBgPVaoA4IqZdBUREZGcS3vPtVVNO/07HPsBXD3h38uhgiYzFhHJjVxNWGZJNyOHYRgZ2jKzfPlypk+fTmRkJFWuflECaN26NY8++ihNmzalXbt2fPTRR9StW5dXX301y22FhYXh7e1tW6pXr56bXckzdT/8EIC4e+/lgkbdipgz9bz5plk2ISEBevSAU6ccHZWIFAOuruYkYQBt+Y5o7mUjHenAJi7iyXxG8+2bR3B5ZY4tcSsiIiK5kzZhWVrO1sCcsMzq6gdDv4b+70GNVo4MUUSkUMtR8rZSpUq4urpmGGV74sSJDKNx04uMjGTIkCF89NFH3HvvvTcOysWFli1bcvDgwSz7TJw4kcTERNty7Nix7O9IHqu4dy+V9+zRqFuR9EqUgNWrzVl8Dhwwrz++bsS8iEh+6VttO9am3djC3dzLN1zCnYWMpL3fIaqvCKfHkCxrK4iIiEgOpJ+wrDKnr01YViEA6nVzXHAiIkVAjpK3Hh4eBAYGEh0dbdceHR1NmzZtslxv+fLlDBo0iGXLlnHffffd9HkMwyAmJga/rIvW4enpSdmyZe0WhzAMGrz7LgC/BwdzQSN4ROz5+8MXX0CZMmbt28GDr7uWSkQkj+3aBfffD61b4xOzFsPNjT/vH86XCw7RaP1Cth3zt6tjKyIiIrcmbcIygAdcNrHRcywdXX4yJywTEZFblqOatwDjxo1jwIABtGjRgqCgIJYsWUJcXBwjRowAzBGxx48f57333gPMxO3AgQOZP38+rVu3to3aLVGiBN7e3gCEhobSunVr6tSpw5kzZ1iwYAExMTEsXLgwr/Yz3/ht20b5337jipcXv4WEODocEefUtCl88gncdx8sWwY1akBYmKOjEpGiZM8emD4dVq0y77u6wmOPYXnuOaoGBNDLkbGJiIgUYX7eJXi2e332rX2Hl9zewNViMKGeFT/vEo4OTUSkSMhx8jYkJISTJ08yY8YMrFYrjRs3Zs2aNdSsWRMAq9VKXFycrf8bb7zBlStXGDVqFKNGjbK1P/bYY0RERABw+vRphg8fTnx8PN7e3jRr1oxNmzZx11133eLu5S/LlSvU/9//ADjcuzeXypd3cEQiTiw4GJYsMUfezpoFFSrAf//r6KhEpBBJSYHNm8FqBT8/c2Iy119+NpO2n3xidnJxgUcegSlTIItJT0VERCTvRO6IY9/ad3jFbRGuFoMDfn1oMHC+o8MSESkycpy8BRg5ciQjR47M9LG0hGyaDRs23HR78+bNY968ebkJxaFqrFtH6ePHSfb25kjv3o4OR8T5Pf44xMfDpEkwfjyULAnX/VNHRCQrUVEwejT88Yd5vx6/MLtEKP+6GInFMMxJEkNCYNo0qF/fscGKiIgUE9bECxxYNYf5bu/hYjGISrmbZ4/2Y9OZixp5KyKSR3JU81aucT97lvoffADAbyEhXCmpej4i2TJxopm8BXjySXjnHcfGIyJOLyoK+vUzE7e1OcS7DORnGtHrwodYDIM/gvrBTz/B8uVK3IqIiBQUwyAlOpTp7u/iYjF490oXnrk8gsuGxZysTERE8oSSt7lUb9kyPM6e5UyNGvzevbujwxEpXJ5/3hxCBzB0qFkHV0QkEykp5p+LmkYsSxnML9RnIP/DlVRW0Ys7iaHNHx+T0qCxo0MVEREpXgyDCikJALx8uT/TrgwiFRdcLRZNViYikoeUvM2FMkePUuvLLwHYN2wYhqurgyMSKWQsFpg3D4YPh9RUePRReOstR0clIk7oh0/ieO6PJ/iNugzmHdxI4Qt6EMhO+rCKPTTl2DGzFq6IiIgUIBcXSvZbzKaWC3k9tQ9gwdVi4cW+jVUyQUQkD+Wq5m2xZhg0XrIES2oqf7Zpw8mmTR0dkUjhZLHA4sXm5EKvvw7DhsG5czBmjKMjExFncPw4vPgid73xJkFcBmAtwUwjlO20ztDdai3oAEVERIqh37dxYesb7G4xi4Aq3vh5l6D9fY+y5e4LHE04T61KJZW4FRHJY0re5lCN6Ggq7dtHiocH+wcPdnQ4IoWbiwssWgSlS8OcOTB2rJnAnTzZTO6KSPETHw+zZpn/1ElOxhX4hnuYRijfcXeWq/n5FVyIIiIixc7FRPh6Oux8mxLAun1leC+1G2F9mxDSsgZ+3iWUtBURyScqm5ADnv/8Q8Orkyv98uijXKhSxcERiRQBFgu89BLMmGHenzIFRo2CK1ccG5eIFKy//4ZnnoHbboP58yE5Ge6+m5Sv1zPI/xu2WjJP3FosUL06tGtXwPGKiIgUF/s/hdfugp1vA7D8SieiUu4m1YBJUfuwJl5wcIAiIkWbRt7mQOMlS3BPSuL07bcT27Ono8MRKTosFjNp6+1tlk1YvBh+/x0+/BDKlHF0dCKSn06eNEfev/oqJCWZba1bw8yZ0LkzrhYL8+dDv37mnwrDuLZq2gD98HBQ+XkREZE8duZPWPNf+OVzAC6UqcXjJx/l+9SGti4phsHRhPMadSsiko+UvM0mvy1bqLp1K6murux56ilNUiZFzmeffZav2++ZnX94PP20OYTukUdgzRpo3x4+/xyqVcvX2OTWOMWxI4XPqVPwyitm5vXcObOtRQtzFH63bnalU/r2hU8+gdGj4Y8/rm3C399cvW/fAo1cRESkePj0KTj0Nbi4QdsxnL7zSX6Ys9Wui6vFQq1KJR0UoIhI8aDkbTZ4/f03dyxcCMChfv04ExDg4IhEirA+fWDDBujZE2JizGTORx/pmmiRoiIx0SyL8Mor5m2Apk3NpG3PnlnWu+7bF3r1gs2bzcnJ/PzMPwv6X6qIiEjOWRMvEJuQREClUlmPmg1+Hi6dh/vmgE8j/ICwvk2YFLWPFMPA1WLhxb6NNepWRCSfKXl7MykpNAsPxyMpiVN16/JbSIijIxIp+u66C77/Hv71L9i3D+65x7ys+umnNZGZSGF19qxZGmHOHHPULUDjxhAaCr17mxMY3oSrK3TsmK9RioiIFHmRO+KYGLWXVANcLGZCNqSZD2x+BVIuwb3TzI5VGsDgL+3WDWlZg/Z1K3M04Ty1KpVU4lZEpABowrKbuD0qikp793LFy4sfx43DcFO+W6RABASYCdyHHjInLxszxiyncPasoyMTkZxISoKXXzYnIps82Uzc1q9v1rTes8ccUpuNxK2IiIjcOmviBVviFiDVgKiVn3BlUVvYOAu+C4eEQzfchp93CYJqV1TiVkSkgOjb0g1U2rOH+h98AMC+oUM5X7WqgyMSKWZKlYIPPjCLWrq5wfLl0KwZbN/u6MhE5GYuXIB588yk7fjxkJAAderA+++bI+pDQpS0FRERKWCxCUm2xG1ZknjR7S0iPUJx++cglKoC/d6GirUdG6SIiNjRt6YslPj7b5q//DKW1FTiOnfmWJcujg5JpHiyWMxZitavhxo14PBhaNvWrI955YqjoxORzHz+OdSuDePGwYkT5kj6d96B/fvNEfQqVCsiIuIQAZVK4WpJpZfLFqI9/8vDbt8CcL7xI/DkD9Coj8qUiYg4GSVvM+GSnEzgrFl4njnD6dq12TtihN7ARBzt7rvNS6wfeghSUmDaNHO2op9/dnRkIpKej485q1iNGvDmm/DrrzBokDmCXkRERLLNmniBrYcTsCZeyP1GDAPO/AmYJQ9e7HMH490/wsdymiOpfnzb+m1K9lsEJcrnUdQiIpKX9C0qvZQUms+dS/mDB7lUpgw7J0wg1dPT0VGJCEC5crBsGdx3H4wcadbEbdYMJkyASZPAy8vREYoIQMuW8Nln0KUL6D1UREQkVzKdWKxljeytfP4fOLIeDn0Lh7+Fy+dh/BFwcSXkrpqcPTmAYxdSKNFhHPdUVNJWRMSZKXmb3jPP4Pf996S4ubFj0iQu+Pg4OiIRSe+RR6BDB3jySVi9GmbOhI8+gtdeg3vvdXR0IsVeSgpsLn0/1ijw8zMHyatSgoiISPZlNrHYpKh9tK9bOeuJwuL3woHP4NA38OePYKRee8ytBJw8DJXrAlCm+3TK5PM+iIhI3lDZhOuFh5sLEDN2LP80auTQcETkBvz9YeVK+OQT8PU1L8vu0gV69YKDBx0dnUixFRUFtWpBp07w8MPmz1q1zHYRERHJnusnFkuTYhgcTTh/rSHxD7h03f39n8LG2XB8p5m4rdIQgp6EASvh2aO2xK2IiBQuSt5er2JFcHNj/6BB/NmunaOjEZGbsVjggQfgwAF4+mlzaN+nn0KjRuZESX//7egIRYqVqCjo1w/++MO+/fhxs10JXBERcZRFixYREBCAl5cXgYGBbN68+Yb9N27cSGBgIF5eXtx22228/vrrBRSpKaBSKVzSTbtS0nKZuue2w1eTYGErmNfILImQpm43aNgb/vUajN0PI7dB1xeg9j3grvJiIiKFlZK31xswAPbu5XCfPo6ORERyolw5mD8f9u6Fbt3g8mWYNw9uuw2eew5OnXJ0hCJFXkoKjB5tzomSXlrbmDFmPxERkYIUGRnJmDFjmDx5Mrt376Zdu3Z0796duLi4TPvHxsbSo0cP2rVrx+7du5k0aRJPP/00K1asKLCY/bxLENa3CZUsZxniuob3PGbxU4nhVFz5EHy/EP7+BSwucPK6K878A6H/u9B8AHhXK7BYRUQkfyl5m179+uZoPhEpfBo0gC+/NJfmzeHcOXjhBQgIgClT4MQJR0coYicno4AGDRqExWLJsDS6rsRPREREpn0uXryY7/uyeXPGEbfXMww4dszsJyIiUpBeeeUVhgwZwtChQ2nQoAHh4eFUr16dxYsXZ9r/9ddfp0aNGoSHh9OgQQOGDh3K4MGDmTNnToHGHdKyBmtGNGWK+/u0d/kJt9RkKFsNmg2AByPMCcjuHlugMYmISMFT8lZEip5u3WDnTvMa7caNITERnn8eataEESNUE1ecQk5HAc2fPx+r1Wpbjh07RoUKFXjwwQft+pUtW9aun9Vqxcsr/y+VtFrztp+IiEheuHTpErt27SI4ONiuPTg4mK1bt2a6zrZt2zL079q1Kzt37uTy5cv5FmtmqtRsAE0fhuAXYOT3MPZn6PUaNOoDJcoXaCwiIuIYSt6KSNFksUCfPrBnD3z8Mdx1F1y8CG+8AXXrQnCwOdlZAX8AF0mT01FA3t7e+Pr62padO3dy6tQpHn/8cbt+FovFrp+vr29B7A5+fnnbT0REJC8kJCSQkpKCj4+PXbuPjw/x8fGZrhMfH59p/ytXrpCQkJDpOsnJyZw5c8ZuyTN9FkObJ6FKA10lKiJSDCl5KyJFm4uLOVPS99/Dxo1w//3mh97oaHjwQaheHSZOhEOHHB2pFCO5GQWU3tKlS7n33nupWbOmXfu5c+eoWbMm/v7+3H///ezevTvP4r6Rdu3A3z/r75QWi3m6aT5QERFxBEu6NyjDMDK03ax/Zu1pwsLC8Pb2ti3Vq1e/xYhFRERMSt6KSPFgsUD79vDZZ3D4MEyaBL6+8NdfMGsW1KkDLVvC3LlmYU6RfJSbUUDXs1qtfPnllwwdOtSuvX79+kRERPDpp5+yfPlyvLy8aNu2LQdvUCokr0YKubqa8wZCxgRu2v3wcLOfiIhIQalUqRKurq4Z3l9PnDiR4X04ja+vb6b93dzcqFixYqbrTJw4kcTERNtyTJ8nRUQkjyh5KyLFT0CAOZFZXBysWAFdu5ojdHfuhGeegRo14O674ZVX4NdfzZmWRPJBTkcBpYmIiKBcuXL07t3brr1169Y8+uijNG3alHbt2vHRRx9Rt25dXn311Sy3lZcjhfr2NauRVEs3wbW/v9net2+uNy0iIpIrHh4eBAYGEh0dbdceHR1NmzZtMl0nKCgoQ/9169bRokUL3N3dM13H09OTsmXL2i0iIiJ5QclbESm+3N3NbNJXX8Gff8LCheboXIsFvvsO/u//oH59uP12eOops19SkqOjliIgN6OA0hiGwdtvv82AAQPw8PC4YV8XFxdatmx5w5G3eT1SqG9fOHoU1q+HZcvMn7GxStyKiIjjjBs3jrfeeou3336bAwcOMHbsWOLi4hgxYgRgvhcOHDjQ1n/EiBH8/vvvjBs3jgMHDvD222+zdOlSnnnmGUftgoiIFGNujg5ARMQp+PjAyJHmcvy4OUzwiy/MOrlHjsBrr5mLmxu0aAEdOphL27agkRWSQ9ePAurTp4+tPTo6ml69et1w3Y0bN3Lo0CGGDBly0+cxDIOYmBiaNGmSZR9PT088PT2zH3w2uLpCx455ukkREZFcCwkJ4eTJk8yYMQOr1Urjxo1Zs2aNrW681WolLi7O1j8gIIA1a9YwduxYFi5cSNWqVVmwYAEPPPCAo3ZBRESKMSVvRUTSq1YNRo82l3Pn4NtvzUTuV1+ZpRa+/95cZs82yy3Ur28mdNOWpk2hZElH74U4uXHjxjFgwABatGhBUFAQS5YsyTAK6Pjx47z33nt26y1dupRWrVrRuHHjDNsMDQ2ldevW1KlThzNnzrBgwQJiYmJYuHBhgeyTiIiIsxo5ciQjR47M9LGIiIgMbR06dODHH3/M56hERERuTslbEZEbKV0a/vUvcwHzevANG8wRuRs3mteD799vLmlJNldXaNgQGjUyfzZsCA0amOUXbnKZuxQfOR0FBJCYmMiKFSuYnzYzWDqnT59m+PDhxMfH4+3tTbNmzdi0aRN33XVXvu+PiIiIiIiI5L1cJW8XLVrEyy+/jNVqpVGjRoSHh9OuXbss+2/cuJFx48bx888/U7VqVcaPH28bWZRmxYoVTJkyhcOHD1O7dm1eeOEFu0tJRUScQq1aMGiQuQBYrbBrlznZ2c6dsGMHnDgBe/eay/Xc3KB2bbjtNnM7AQHXfgYEQIUKZr1dKTZyOgrI29ub8+fPZ7m9efPmMW/evLwKT0RERERERBwsx8nbyMhIxowZw6JFi2jbti1vvPEG3bt3Z//+/dSoUSND/9jYWHr06MGwYcN4//33+e677xg5ciSVK1e21Qzatm0bISEhzJw5kz59+rBy5Ur69+/Pli1baNWq1a3vpYhIfvHzg/vvNxcAwzBr5u7eDQcOmEvayNxz5+DXX80lM6VLm9vz8wNf34w/K1UyE7wVKph1dpXoFRERERERESnSLIZhGDlZoVWrVjRv3pzFixfb2ho0aEDv3r0JCwvL0P/ZZ5/l008/5cCBA7a2ESNGsGfPHrZt2waYl46eOXOGL7/80tanW7dulC9fnuXLl2crrjNnzuDt7U1iYiJlb3HyoM8+++yW1hfJDz179szX7ef3cZ/f8Tu9tKTur7+apRdiY80l7bbVmrPtubpeS+SmLeXKmQng65cyZTJv8/IyF09Pc/HyMkcG50JhOHby8j2iqNNrJSIiWdF7RPbptRIRkazk9D0iR9/UL126xK5du5gwYYJde3BwMFu3bs10nW3bthEcHGzX1rVrV5YuXcrly5dxd3dn27ZtjB07NkOf8PDwnIQnIuK8LBbw9zeXzFy4AMeOmUnc+Hj7n2m3T540l+RkSEmBv/82l7zi4mKfzE1/28PDTBq7uZnL1dst/v4bw9UVw8UFw9WVVFfXa/evtl3/uOHigmGxgMVi/rx633BxudZ23WOcOwcPPZR3+ykiIiIiIiJSSOQoeZuQkEBKSgo+Pj527T4+PsTHx2e6Tnx8fKb9r1y5QkJCAn5+fln2yWqbAMnJySQnJ9vuJyYmAmb2+lbdqJ6giKPkxbF9I/l93Od3/EWCr6+53MyFC3DqlP3yzz9w9qyZ6Dx3DpKSrv1Mu319+8WLZhI4NfXadlNTzW1fuJCjsEvlcDdz6sy2bXDffbe2javHXw4vNimW0l4jnbMiIpKe3k+zT++nIiKSlZy+n+bqGllLujqLhmFkaLtZ//TtOd1mWFgYoaGhGdqrV6+edeAiIlL47NsH3t55sqmzZ8/inUfbKqrOnj0L6P1URESypvfTm9P7qYiI3Ex2309zlLytVKkSrq6uGUbEnjhxIsPI2TS+vr6Z9ndzc6NixYo37JPVNgEmTpzIuHHjbPdTU1P5559/qFix4g2Tvtc7c+YM1atX59ixY0WiDpH2x/kVtX3S/ji3orY/kPt9MgyDs2fPUrVq1XyMrmioWrUqx44do0yZMtl+Py1siuK5kZ/0euWMXq+c02uWM458vfR+mn25eT8taudCUdsfKHr7pP1xfkVtn7Q/ppy+n+Yoeevh4UFgYCDR0dH06dPH1h4dHU2vXr0yXScoKCjDZDbr1q2jRYsWuLu72/pER0fb1b1dt24dbdq0yTIWT09PPD097drKlSuXk92xKVu2bJE4aNJof5xfUdsn7Y9zK2r7A7nbJ40Qyh4XFxf8s6rNXMQUxXMjP+n1yhm9Xjmn1yxnHPV66f00e27l/bSonQtFbX+g6O2T9sf5FbV90v7k7P00x2UTxo0bx4ABA2jRogVBQUEsWbKEuLg4RowYAZgjYo8fP857770HwIgRI3jttdcYN24cw4YNY9u2bSxdupTly5fbtjl69Gjat2/P7Nmz6dWrF6tXr+brr79my5YtOQ1PREREREREREREpEjIcfI2JCSEkydPMmPGDKxWK40bN2bNmjXUrFkTAKvVSlxcnK1/QEAAa9asYezYsSxcuJCqVauyYMECHnjgAVufNm3a8OGHH/Lcc88xZcoUateuTWRkJK1atcqDXRQREREREREREREpfHI1YdnIkSMZOXJkpo9FRERkaOvQoQM//vjjDbfZr18/+vXrl5twcs3T05Np06ZlKL9QWGl/nF9R2yftj3MravsDRXOfpODpOMoZvV45o9cr5/Sa5Yxer6KrqP1ui9r+QNHbJ+2P8ytq+6T9yR2LYRhGvj6DiIiIiIiIiIiIiOSYi6MDEBEREREREREREZGMlLwVERERERERERERcUJK3oqIiIiIiIiIiIg4oSKVvF20aBEBAQF4eXkRGBjI5s2bs+w7aNAgLBZLhqVRo0a2PhEREZn2uXjxYr7vy6ZNm+jZsydVq1bFYrGwatWqm66zceNGAgMD8fLy4rbbbuP111/P0GfFihU0bNgQT09PGjZsyMqVK/Mh+oxyuj9RUVF06dKFypUrU7ZsWYKCgli7dq1dH0f+fiDn+7Rhw4ZM4/3ll1/s+hWW35Gzn0NhYWG0bNmSMmXKUKVKFXr37s2vv/560/Wc9TzKzf4483mUm/1x9nNInEt2jjHDMJg+fTpVq1alRIkSdOzYkZ9//tlBETtWdl6vzP7ut27d2kERO97ixYu54447KFu2rO1v7Jdffml7XMeXvZu9Xjq+biwsLAyLxcKYMWNsbTrGCgd9R3XOz9ZQ9L6j6vupc58/+n7q/OeQM39HLTLJ28jISMaMGcPkyZPZvXs37dq1o3v37sTFxWXaf/78+VitVtty7NgxKlSowIMPPmjXr2zZsnb9rFYrXl5e+b4/SUlJNG3alNdeey1b/WNjY+nRowft2rVj9+7dTJo0iaeffpoVK1bY+mzbto2QkBAGDBjAnj17GDBgAP3792f79u35tRs2Od2fTZs20aVLF9asWcOuXbvo1KkTPXv2ZPfu3Xb9HPX7gZzvU5pff/3VLt46derYHitMvyNnP4c2btzIqFGj+P7774mOjubKlSsEBweTlJSU5TrOfB7lZn+c+TzKzf6kcdZzSJxLdo6xl156iVdeeYXXXnuNHTt24OvrS5cuXTh79qwDI3eM7J6T3bp1szv/1qxZ46CIHc/f359Zs2axc+dOdu7cyT333EOvXr1syTMdX/Zu9nqBjq+s7NixgyVLlnDHHXfYtesYc376juq8n62h6H1H1fdT5z5/9P3U+c8hp/6OahQRd911lzFixAi7tvr16xsTJkzI1vorV640LBaLcfToUVvbO++8Y3h7e+dlmLkCGCtXrrxhn/Hjxxv169e3a3viiSeM1q1b2+7379/f6Natm12frl27Gv/+97/zLNbsyM7+ZKZhw4ZGaGio7b6z/H4MI3v7tH79egMwTp06lWWfwvw7cuZzyDAM48SJEwZgbNy4Mcs+hek8ys7+ZMZZz6Ps7E9hOofE+aQ/xlJTUw1fX19j1qxZtj4XL140vL29jddff91RYTqNzM7Jxx57zOjVq5fjgioEypcvb7z11ls6vrIp7fUyDB1fWTl79qxRp04dIzo62ujQoYMxevRowzD0N6yw0HfUwvPZuqh9R9X3U+c+fwxD30/TOOs5ZBjO9R21SIy8vXTpErt27SI4ONiuPTg4mK1bt2ZrG0uXLuXee++lZs2adu3nzp2jZs2a+Pv7c//992f4j4Cz2LZtW4b979q1Kzt37uTy5cs37JPd18iRUlNTOXv2LBUqVLBrLyy/n+s1a9YMPz8/OnfuzPr16+0eK8y/I2c/hxITEwEyHEPXK0znUXb2Jz1nPo9ysj9F9RyS/JX+GIuNjSU+Pt7uePH09KRDhw46Xsj6nNywYQNVqlShbt26DBs2jBMnTjgiPKeTkpLChx9+SFJSEkFBQTq+biL965VGx1dGo0aN4r777uPee++1a9cx5vz0HbVwfbbODWf+bJ0TRfWztbOfP/p+6vznkDN9Ry0SyduEhARSUlLw8fGxa/fx8SE+Pv6m61utVr788kuGDh1q116/fn0iIiL49NNPWb58OV5eXrRt25aDBw/mafx5IT4+PtP9v3LlCgkJCTfsk53XyNHmzp1LUlIS/fv3t7UVpt8PgJ+fH0uWLGHFihVERUVRr149OnfuzKZNm2x9CuvvyNnPIcMwGDduHHfffTeNGzfOsl9hOY+yuz/pOet5lN39KcrnkOSvzI6xtGNCx0tGWZ2T3bt354MPPuDbb79l7ty57Nixg3vuuYfk5GQHRutYe/fupXTp0nh6ejJixAhWrlxJw4YNdXxlIavXC3R8ZebDDz/kxx9/JCwsLMNjOsacn76jFp7P1rnlrJ+ts6sof7Z29vNH309NznwOOdt3VLec74LzslgsdvcNw8jQlpmIiAjKlStH79697dpbt25tN1FC27Ztad68Oa+++ioLFizIk5jzUmb7n749t6+RIy1fvpzp06ezevVqqlSpYmsvbL+fevXqUa9ePdv9oKAgjh07xpw5c2jfvr2tvTD+jpz9HHryySf56aef2LJly037FobzKCf7k8aZz6Ps7k9RPockf93oGNPxklFWr1dISIjtduPGjWnRogU1a9bkiy++oG/fvgUdplOoV68eMTExnD59mhUrVvDYY4+xceNG2+M6vuxl9Xo1bNhQx1c6x44dY/To0axbt+6Gdf50jDk/fUd1/s/WueHMn62zqyh/tnb280ffT53/HHK276hFYuRtpUqVcHV1zZC1PnHiRIbsdnqGYfD2228zYMAAPDw8btjXxcWFli1bOuV/zXx9fTPdfzc3NypWrHjDPjd7jRwpMjKSIUOG8NFHH2W4XCw9Z/79ZKV169Z28RbG35Gzn0NPPfUUn376KevXr8ff3/+GfQvDeZST/UnjzOdRbvbnekXhHJL8ldUx5uvrC6DjJZ2cnJN+fn7UrFmzUL3v5jUPDw9uv/12WrRoQVhYGE2bNmX+/Pk6vrKQ1euVmeJ+fO3atYsTJ04QGBiIm5sbbm5ubNy4kQULFuDm5mY7jnSMOS99Ry0cn61zw5k/W9+qovDZ2tnPH30/df5zyBm/oxaJ5K2HhweBgYFER0fbtUdHR9OmTZsbrrtx40YOHTrEkCFDbvo8hmEQExODn5/fLcWbH4KCgjLs/7p162jRogXu7u437HOz18hRli9fzqBBg1i2bBn33XffTfs78+8nK7t377aLt7D9jsB5zyHDMHjyySeJiori22+/JSAg4KbrOPN5lJv9Aec9j3K7P+kVhXNI8sfNjrGAgAB8fX3tjpdLly6xcePGYnm85OacPHnyJMeOHStU77v5zTAMkpOTdXxlU9rrlZnifnx17tyZvXv3EhMTY1tatGjBI488QkxMDLfddpuOMSen76jO/dk6t5z1s3VeKQqfrZ31/NH3U5Mzn0NO/R0121ObObkPP/zQcHd3N5YuXWrs37/fGDNmjFGqVCnbzIITJkwwBgwYkGG9Rx991GjVqlWm25w+fbrx1VdfGYcPHzZ2795tPP7444abm5uxffv2fN0XwzBnlt29e7exe/duAzBeeeUVY/fu3cbvv/9uGEbG/Tly5IhRsmRJY+zYscb+/fuNpUuXGu7u7sYnn3xi6/Pdd98Zrq6uxqxZs4wDBw4Ys2bNMtzc3Izvv//e6fZn2bJlhpubm7Fw4ULDarXaltOnT9v6OPL3k5t9mjdvnrFy5Urjt99+M/bt22dMmDDBAIwVK1bY+hSm31EaZz2H/vOf/xje3t7Ghg0b7I6h8+fP2/oUpvMoN/vjzOdRbvbH2c8hcS7ZOcZmzZpleHt7G1FRUcbevXuNhx56yPDz8zPOnDnjwMgd42av19mzZ43/+7//M7Zu3WrExsYa69evN4KCgoxq1aoVy9fLMAxj4sSJxqZNm4zY2Fjjp59+MiZNmmS4uLgY69atMwxDx1d6N3q9dHxlT4cOHYzRo0fb7usYc376juq8n61zsz/O/Nk6N/vj7J+t9f3Uuc+hovb9NLf7VFDnUZFJ3hqGYSxcuNCoWbOm4eHhYTRv3tzYuHGj7bHHHnvM6NChg13/06dPGyVKlDCWLFmS6fbGjBlj1KhRw/Dw8DAqV65sBAcHG1u3bs3PXbBZv369AWRYHnvsMcMwMt+fDRs2GM2aNTM8PDyMWrVqGYsXL86w3Y8//tioV6+e4e7ubtSvX9/ugMpPOd2fDh063LC/YTj295ObfZo9e7ZRu3Ztw8vLyyhfvrxx9913G1988UWG7RaW35FhOPc5lNm+AMY777xj61OYzqPc7I8zn0e52R9nP4fEuWTnGEtNTTWmTZtm+Pr6Gp6enkb79u2NvXv3Oi5oB7rZ63X+/HkjODjYqFy5suHu7m7UqFHDeOyxx4y4uDjHBu5AgwcPtn3urFy5stG5c2db4tYwdHyld6PXS8dX9qRP3uoYKxz0HdU5P1sbRtH7jqrvp859/uj7qfOfQ878HdVyNUARERERERERERERcSJFouatiIiIiIiIiIiISFGj5K2IiIiIiIiIiIiIE1LyVkRERERERERERMQJKXkrIiIiIiIiIiIi4oSUvBURERERERERERFxQkreioiIiIiIiIiIiDghJW9FREREREREREREnJCStyIiIiIiIiIiIiJOSMlbEREREcnS0aNHsVgsxMTEODqUHKlVqxbh4eF5tr2OHTsyZsyYPNueI1gsFlatWgUU3t+riIiISHGj5K2IiIhIMWWxWG64DBo0yNEh3lRERATlypXL0L5jxw6GDx9e8AE5genTp3PnnXdmaLdarXTv3r3gAxIRERGRXHNzdAAiIiIi4hhWq9V2OzIykqlTp/Lrr7/a2kqUKMGpU6ccERopKSlYLBZcXHI31qBy5cp5HFHh5+vr6+gQRERERCSHNPJWREREpJjy9fW1Ld7e3lgslgxtaY4cOUKnTp0oWbIkTZs2Zdu2bXbb2rp1K+3bt6dEiRJUr16dp59+mqSkJNvjp06dYuDAgZQvX56SJUvSvXt3Dh48aHs8bQTt559/TsOGDfH09OT333/n0qVLjB8/nmrVqlGqVClatWrFhg0bANiwYQOPP/44iYmJttHC06dPBzKWTTh9+jTDhw/Hx8cHLy8vGjduzOeffw7AyZMneeihh/D396dkyZI0adKE5cuX5/j1nDVrFj4+PpQpU4YhQ4YwYcIEuxGwmZVe6N27t90I5/fff58WLVpQpkwZfH19efjhhzlx4oTt8Q0bNmCxWPjmm29o0aIFJUuWpE2bNrake0REBKGhoezZs8f2mkRERAD2ZRMys3//fnr06EHp0qXx8fFhwIABJCQk2B7/5JNPaNKkCSVKlKBixYrce++9dr9jEREREcl7St6KiIiIyE1NnjyZZ555hpiYGOrWrctDDz3ElStXANi7dy9du3alb9++/PTTT0RGRrJlyxaefPJJ2/qDBg1i586dfPrpp2zbtg3DMOjRoweXL1+29Tl//jxhYWG89dZb/Pzzz1SpUoXHH3+c7777jg8//JCffvqJBx98kG7dunHw4EHatGlDeHg4ZcuWxWq1YrVaeeaZZzLEnpqaSvfu3dm6dSvvv/8++/fvZ9asWbi6ugJw8eJFAgMD+fzzz9m3bx/Dhw9nwIABbN++Pduvz0cffcS0adN44YUX2LlzJ35+fixatCjHr/OlS5eYOXMme/bsYdWqVcTGxmZavmLy5MnMnTuXnTt34ubmxuDBgwEICQnh//7v/2jUqJHtNQkJCbnp81qtVjp06MCdd97Jzp07+eqrr/jrr7/o37+/7fGHHnqIwYMHc+DAATZs2EDfvn0xDCPH+ygiIiIi2aeyCSIiIiJyU8888wz33XcfAKGhoTRq1IhDhw5Rv359Xn75ZR5++GHbqNI6deqwYMECOnTowOLFizl27Biffvop3333HW3atAHggw8+oHr16qxatYoHH3wQgMuXL7No0SKaNm0KwOHDh1m+fDl//PEHVatWtcXx1Vdf8c477/Diiy/ajRjOytdff80PP/zAgQMHqFu3LgC33Xab7fFq1arZJX2feuopvvrqKz7++GNatWqVrdcnPDycwYMHM3ToUACef/55vv76ay5evJit9dOkJWHTYlywYAF33XUX586do3Tp0rbHXnjhBTp06ADAhAkTuO+++7h48SIlSpSgdOnSuLm55ahMwuLFi2nevDkvvviire3tt9+mevXq/Pbbb5w7d44rV67Qt29fatasCUCTJk1ytG8iIiIiknMaeSsiIiIiN3XHHXfYbvv5+QHYLufftWsXERERlC5d2rZ07dqV1NRUYmNjOXDgAG5ubnaJ0IoVK1KvXj0OHDhga/Pw8LB7nh9//BHDMKhbt67dtjdu3Mjhw4ezHXtMTAz+/v62xG16KSkpvPDCC9xxxx1UrFiR0qVLs27dOuLi4rL9HAcOHCAoKMiuLf397Ni9eze9evWiZs2alClTho4dOwJkiOVGv4/c2LVrF+vXr7d7nevXrw+YSfSmTZvSuXNnmjRpwoMPPsibb77psHrIIiIiIsWJRt6KiIiIyE25u7vbblssFsAsR5D284knnuDpp5/OsF6NGjX47bffMt2mYRi2bYE5Qdr191NTU3F1dWXXrl22Egdprh+FejMlSpS44eNz585l3rx5hIeH06RJE0qVKsWYMWO4dOlStp8jO1xcXDKUGbi+bERSUhLBwcEEBwfz/vvvU7lyZeLi4ujatWuGWG70+8iN1NRUevbsyezZszM85ufnh6urK9HR0WzdupV169bx6quvMnnyZLZv305AQECun1dEREREbkzJWxERERG5Jc2bN+fnn3/m9ttvz/Txhg0bcuXKFbZv324rm3Dy5El+++03GjRokOV2mzVrRkpKCidOnKBdu3aZ9vHw8CAlJeWG8d1xxx388ccf/Pbbb5mOvt28eTO9evXi0UcfBcxE5sGDB28YW3oNGjTg+++/Z+DAgba277//3q5P5cqVsVqttvspKSns27ePTp06AfDLL7+QkJDArFmzqF69OgA7d+7MdgxpsvOapNe8eXNWrFhBrVq1cHPL/CuCxWKhbdu2tG3blqlTp1KzZk1WrlzJuHHjchyjiIiIiGSPyiaIiIiIyC159tln2bZtG6NGjSImJoaDBw/y6aef8tRTTwFmDdxevXoxbNgwtmzZwp49e3j00UepVq0avXr1ynK7devW5ZFHHmHgwIFERUURGxvLjh07mD17NmvWrAGgVq1anDt3jm+++YaEhATOnz+fYTsdOnSgffv2PPDAA0RHRxMbG8uXX37JV199BcDtt99uG1V64MABnnjiCeLj43P0GowePZq3336bt99+m99++41p06bx888/2/W55557+OKLL/jiiy/45ZdfGDlyJKdPn7Y9XqNGDTw8PHj11Vc5cuQIn376KTNnzsxRHGmvSWxsLDExMSQkJJCcnHzTdUaNGsU///zDQw89xA8//MCRI0dYt24dgwcPJiUlhe3bt/Piiy+yc+dO4uLiiIqK4u+//85RgltEREREck7JWxERERG5JXfccQcbN27k4MGDtGvXjmbNmjFlyhRbLVaAd955h8DAQO6//36CgoIwDIM1a9bYXf6fmXfeeYeBAwfyf//3f9SrV49//etfbN++3TYytU2bNowYMYKQkBAqV67MSy+9lOl2VqxYQcuWLXnooYdo2LAh48ePt41OnTJlCs2bN6dr16507NgRX19fevfunaPXICQkhKlTp/Lss88SGBjI77//zn/+8x+7PoMHD+axxx5j4MCBdOjQgYCAANuoWzBH5kZERPDxxx/TsGFDZs2axZw5c3IUB8ADDzxAt27d6NSpE5UrV2b58uU3Xadq1ap89913pKSk0LVrVxo3bszo0aPx9vbGxcWFsmXLsmnTJnr06EHdunV57rnnmDt3Lt27d89xfCIiIiKSfRYjfeEtERERERG5ZdOnT2fVqlXExMQ4OhQRERERKaQ08lZERERERERERETECSl5KyIiIiIiIiIiIuKEVDZBRERERERERERExAlp5K2IiIiIiIiIiIiIE1LyVkRERERERERERMQJKXkrIiIiIiIiIiIi4oSUvBURERERERERERFxQkreioiIiIiIiIiIiDghJW9FREREREREREREnJCStyIiIiIiIiIiIiJOSMlbERERERERERERESek5K2IiIiIiIiIiIiIE/p/5hnpR6uubuUAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.io import loadmat\n", "from scipy.stats import gamma, betaprime\n", "\n", "# === Load Data ===\n", "data_path = \"../data/\"\n", "suv_file = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_file = data_path + \"flags_combined.mat\"\n", "suv_dict = loadmat(suv_file)\n", "flags_dict = loadmat(flags_file)\n", "\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = flags_dict['flags'][0:58, 3]\n", "\n", "p = 94\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1)\n", "y = flags.flatten().astype(int)\n", "\n", "X_ae = X[y == 1]\n", "X_normal = X[y == 0]\n", "\n", "# === Fit Distributions ===\n", "ae_params = betaprime.fit(X_ae, floc=0)\n", "nc_params = gamma.fit(X_normal, floc=0)\n", "\n", "# === Priors ===\n", "p_ae = len(X_ae) / (len(X_ae) + len(X_normal))\n", "p_nc = 1 - p_ae\n", "\n", "# === SUV Range ===\n", "suv_range = np.linspace(min(min(X_ae), min(X_normal)),\n", " max(max(X_ae), max(X_normal)), 300)\n", "\n", "pdf_ae = betaprime.pdf(suv_range, *ae_params)\n", "pdf_nc = gamma.pdf(suv_range, *nc_params)\n", "\n", "# === Posterior ===\n", "p_suv = pdf_ae * p_ae + pdf_nc * p_nc\n", "posterior_ae = (pdf_ae * p_ae) / p_suv\n", "\n", "# === Plot ===\n", "plt.figure(figsize=(9, 6))\n", "plt.plot(suv_range, posterior_ae, label=r'$P(\\mathrm{AE} \\mid \\mathrm{SUV})$', color='crimson', linewidth=2)\n", "plt.scatter(X_normal, np.zeros_like(X_normal), color='blue', alpha=0.5, label='NC Patients (y=0)')\n", "plt.scatter(X_ae, np.ones_like(X_ae), color='green', alpha=0.7, label='AE Patients (y=1)')\n", "\n", "plt.title(\"Posterior Probability of Adverse Effect vs SUV (Gamma–BetaPrime Model)\")\n", "plt.xlabel(\"SUV (94th percentile)\")\n", "plt.ylabel(\"P(AE | SUV)\")\n", "plt.ylim(-0.1, 1.1)\n", "plt.grid(True)\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "\n", "def goodness_of_fit_analysis(data, dist_name='gamma', ax_prefix=''):\n", " import numpy as np\n", " import matplotlib.pyplot as plt\n", " from scipy.stats import gamma, lognorm, betaprime, kstest, anderson, probplot\n", "\n", " data = np.array(data)\n", " n = len(data)\n", "\n", " if dist_name == 'gamma':\n", " params = gamma.fit(data, floc=0)\n", " dist = gamma(*params)\n", " name = \"Gamma\"\n", " elif dist_name == 'lognorm':\n", " params = lognorm.fit(data, floc=0)\n", " dist = lognorm(*params)\n", " name = \"Lognormal\"\n", " elif dist_name == 'betaprime':\n", " params = betaprime.fit(data, floc=0)\n", " dist = betaprime(*params)\n", " name = \"Beta Prime\"\n", " else:\n", " raise ValueError(\"Unsupported distribution\")\n", "\n", " # KS Test\n", " ks_stat, ks_p = kstest(data, dist_name, args=params)\n", "\n", " # Anderson-Darling Test (only for normal distributions)\n", " ad_result = anderson(data, dist_name) if dist_name == 'norm' else None\n", "\n", " # Log-likelihood\n", " log_likelihood = np.sum(dist.logpdf(data))\n", "\n", " # AIC and BIC\n", " k = len(params)\n", " aic = 2 * k - 2 * log_likelihood\n", " bic = k * np.log(n) - 2 * log_likelihood\n", "\n", " # === Output Summary ===\n", " print(f\"\\n--- Goodness of Fit: {name} ---\")\n", " print(f\"Parameters: {params}\")\n", " print(f\"KS Statistic: {ks_stat:.4f}, p-value: {ks_p:.4f}\")\n", " if ad_result:\n", " print(f\"AD Statistic: {ad_result.statistic:.4f}\")\n", " print(f\"Log-Likelihood: {log_likelihood:.2f}\")\n", " print(f\"AIC: {aic:.2f}, BIC: {bic:.2f}\")\n", "\n", " # === Plots ===\n", " x = np.linspace(min(data), max(data), 300)\n", " pdf = dist.pdf(x)\n", "\n", " plt.figure(figsize=(14, 4))\n", "\n", " # Histogram + PDF\n", " plt.subplot(1, 3, 1)\n", " plt.hist(data, bins=15, density=True, alpha=0.6, color='gray', label='Empirical')\n", " plt.plot(x, pdf, 'r-', label=f'{name} PDF')\n", " plt.title(f\"{name}: Histogram + PDF\")\n", " plt.legend()\n", "\n", " # Q–Q Plot\n", " plt.subplot(1, 3, 2)\n", " probplot(data, dist=dist_name, sparams=params[:-2], plot=plt)\n", " plt.title(f\"{name}: Q–Q Plot\")\n", "\n", " # Empirical vs Theoretical CDF\n", " plt.subplot(1, 3, 3)\n", " sorted_data = np.sort(data)\n", " ecdf = np.arange(1, n+1) / n\n", " cdf = dist.cdf(sorted_data)\n", " plt.plot(sorted_data, ecdf, label='Empirical CDF', marker='.', linestyle='none')\n", " plt.plot(sorted_data, cdf, label=f'{name} CDF', linestyle='--')\n", " plt.legend()\n", " plt.title(f\"{name}: Empirical vs Theoretical CDF\")\n", "\n", " plt.tight_layout()\n", " plt.show()\n", "\n", "\n", "# === Goodness of Fit ===\n", "goodness_of_fit_analysis(X_ae, dist_name='betaprime')\n", "goodness_of_fit_analysis(X_normal, dist_name='gamma')\n" ] }, { "cell_type": "markdown", "id": "144d178c", "metadata": {}, "source": [ "BETAPRIME_BETAPRIME" ] }, { "cell_type": "code", "execution_count": null, "id": "30535071", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "--- Goodness of Fit: Beta Prime ---\n", "Parameters: (438.48437837034544, 12.429421766509954, 0, 0.06327913775189781)\n", "KS Statistic: 0.3369, p-value: 0.5192\n", "Log-Likelihood: -5.15\n", "AIC: 18.29, BIC: 16.73\n" ] }, { "data": { "image/png": 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x5w2GYRjZsmVz+FuJSPLR53/a/PyPfa4Jfa9r0KBBssVvGIYBGB4eHkZwcLC9LyoqyihTpoxRokSJOI+1ZcuWOHF+8skn8T6HO787bt++3QCMN954477PP1ZMTIwRGRlpbNu2zQCMX375xb4s9vvR/bRp08YoWLCgER0dbe9bu3atARirV682DMMw9u7dawDGypUrEx1bfIoUKWI89dRT8S6LjXfixIkO/b179zbc3d2NmJgYwzAS/566fPmy4eHhYTRv3txhvZMnTxpubm5Gx44d7X0J/Z2S4/91fLmF+vXrG97e3kZISEi8r0V8Yj8PGjRoYLRu3dph2d25gvg0bdrUAIywsLBEPV7s59+ePXsSXMfHx8coW7asvR37N7z7VqBAgUQ9ptU04jYTWbhwIWXLlgXgwoULrFixgj59+hAdHU3fvn0BWLNmDd7e3rRs2dLhl4gqVarg6+vL1q1bE1X37KuvvmLq1Kn88ssvDpdGuLu7JyrWGzduOFziY7PZaNasGXPmzHFYr1KlSpQqVSpR+wRo0aKFQzv29Xjqqafi9K9cuZLr16/j6enJmjVrsNlsvPDCCw6vi6+vL5UrV3a47KROnTpJGkHr4eER769BALVr177v9o8++igLFiwgd+7cNGzYkGrVqsW5PCoh33//PdmyZYvza2znzp0ZNmwYmzdvplGjRmzbtg2Adu3aOazXoUMH+y+Nd2vbtm2cvuvXr/P222+zbNkyTpw4QXR0tH3Z3ZeFQPx/r5UrV8b794r9pe5eunbtyqeffhqn/+7C5XXq1EnUrKuJfZ/ei2EY8fbH975IbB1EEclcdHxPm8f3+zEMwz4i1zAMh2PinZydnRM9+3bsMSUx669du9bhb+Hh4UG/fv0cRjbdLbHnDSKSOvT5nzY//xP6fhfflQcPGn+sBg0aOJTPcXZ2pn379owZM4bTp09TsGDBe8Ya33e2u3333XcA9OnT557r/fPPP7z55pt8//33hISEOHzPOXToEJUqVbrvY92pS5cuLF++nE2bNtG4cWPAnJDK19eXZs2aAVCiRAly5szJsGHDCAoKonbt2omehC2pnn76aYd2pUqVCAsLIyQkBB8fn0S/p3bv3s2tW7fiTBZWqFAh6tevz+bNm+M89t1/p+T6f32nmzdvsm3bNrp163bfq0dnzZrFnDlz+PPPPx1KJaWVibQT+o69adMmh8nJXF1dUyukh6LEbSZStmzZOMXr//33X4YOHcoLL7yAt7c3586d48qVKwm+gWPryNzL8uXLadeuHf/73/8YMmQIvr6+uLi4MHPmTIfLCO7lzoOdm5sbRYoUifdA5+fnl6j9xcqVK5dDO/Z5JtQfFhaGp6cn586dwzCMeGvKARQrVixJcdzJycnJ4e9y97L7Wbp0KePGjePjjz9m5MiReHp60rp1ayZOnIivr+89t7148SK+vr5xvuDly5cPFxcXe7mFixcv4uLiEud1Suj1gPj/Nh07dmTz5s2MHDmSGjVqkCNHDmw2G82bN+fWrVtx1k/K3yssLOwez9Q0evRo+0ksQFBQEE8//TSzZs2iWrVq9v7EJkgT+z69l9iaXvnz53fov9f7QkTkTjq+p63je+HChQE4fvx4guvcuHGDCxcu2I89n376KV26dIl33fnz59O5c2cKFy7M0aNHuXHjRoKXDsdeslqoUKH7xvnkk0/y/vvvY7PZ7JPR3O8LTGLPG0QkdejzP219/sdKynn8g8YfK77ve7F9Fy9evGfiNmvWrIn67nL+/HmcnZ3v+d3y+vXr1KpVC3d3d8aNG0epUqXImjUrp06dok2bNvF+17ufZs2a4efnx/z582ncuDGXL19m1apVvPrqq/bL2728vNi2bRvvvPMOI0aM4PLly/j5+dGjRw/efPPNRA9oSozcuXM7tGNLDsQ+t8S+p2KPlfG91/Pnz8/GjRsd+uL7OyXH/+u7Xb58mejo6Psm+6dMmcJrr71Gr169ePvtt8mTJw/Ozs6MHDky3sFY93PneVNyJH5v3LjBxYsXqVixYpxllStXTpeTkylxm8lVqlSJ9evX89dff/Hoo4+SJ08ecufOzbp16+JdPzEJrUWLFuHv78/SpUsdTuzvnuzqXhJ7sEvsCJSHlSdPHmw2Gzt27Ii3Jsy96sSktDx58jB16lSmTp3KyZMnWbVqFa+//johISEJ/h1j5c6dm59++slh1A9ASEgIUVFR9g+13LlzExUVxaVLlxxOIoKDgxPc991/m6tXr7JmzRpGjRrF66+/bu+PrZmVGooWLepQaD/2C27p0qUfKEmaHMnV2IL+mrRFRJKTju+JkxLH92rVqpErVy5WrVpFYGBgvM9l1apVxMTEUL9+fcCsebtnz5549+fv7w9A48aN2bBhA6tXr+a5556Ls55hGKxatYrcuXNTuXLl+8bp5eWV5GNYYs8bRMQ6+vxPnLT8/S4p4vs+Ftt3d6Lxbol9rfPmzUt0dDTBwcEJJta///57zp49y9atW6lTp469/8qVK4l6jPg4Ozvz4osvMm3aNK5cucLixYsJDw+P80NnxYoV+eKLLzAMg19//ZUFCxYwduxYPDw8HL53prTEvqdi/y5BQUFx1jl79mycY2l8f6fk+H99t1y5cuHs7HzfSd0WLVpE3bp1mTlzpkP/g9YUbtKkCXPmzGHlypXJ8vf69ttviY6OzlDfr+8/nE8ytIMHDwK3C8K3aNGCixcvEh0dTfXq1ePcSpcubd/Wzc0t3l/ObDYbrq6uDh8wwcHBDz3rqJVatGiBYRicOXMm3tclvl9zrFC4cGH69u1Lo0aN2L9/v70/ob9VgwYNuH79OitXrnToX7hwoX05YD/4Ll261GG9u2csvRebzYZhGHEOYh9//HGCl4dmdL/88gvjx4+naNGiccpQiIg8DB3fEyclju+urq4MGTKEQ4cOMWnSpDjLQ0JCGD58ON7e3vbLJHPnzh3v41evXt3+Ba9bt274+PgwfPhwQkJC4ux34sSJHD58mF69eqVYwiGx5w2Q8PtIRFKWPv8TJ718v7ufzZs3c+7cOXs7OjqapUuXUrx48fuOnEys2LIEdyfq7hT73rj7+DN79uyHeuwuXboQFhbGkiVLWLBgAQEBAQmOyrTZbFSuXJn3338fb29vh+/DqSGx76mAgAA8PDxYtGiRw/anT5/m+++/dziW3uuxHvb/9d08PDyoU6cOX3311T1H7Npstjh/519//ZXdu3ff9zHi06pVKypWrEhgYCC///57vOusX7+emzdv3ndfJ0+eZPDgwXh5efHyyy8/UDxpkUbcZiK///67vf7JxYsXWb58ORs3bqR169b20RzPPfccn3/+Oc2bN+fVV1/l0UcfJUuWLJw+fZotW7bQqlUrWrduDdz+ZWvp0qUUK1YMd3d3KlasSIsWLVi+fDm9e/fm2Wef5dSpU7z99tv4+flx9OhRy57/w6hZsyY9e/akS5cu7N27l9q1a5MtWzaCgoLYuXMnFStWtNeQ2bZtGw0aNOCtt97irbfeStG4rl69Sr169ejYsSNlypQhe/bs7Nmzh3Xr1tGmTRv7ehUrVmT58uXMnDmTatWq2X/xfumll/joo4/o1KkTJ06coGLFiuzcuZPx48fTvHlze+3Xpk2bUrNmTV577TVCQ0OpVq0au3fvtn9RS0xJhxw5clC7dm0mTZpEnjx5KFq0KNu2bWPevHl4e3unyOuTluzbtw8vLy8iIyM5e/Ysmzdv5rPPPiNfvnysXr063dTXEZG0R8f3B5dSx/ehQ4dy8OBBhg0bxi+//EL79u3x8vLi119/ZdKkSZw7d441a9YkaYSqt7c3y5Yto0WLFlSrVo0hQ4ZQuXJlQkNDWbp0KZ9//jmNGjVK9IznDyKx5w1gvo+2bt3K6tWr8fPzI3v27A5fJEXk4enz/8Gl5Pe7mJgYfvzxx3iXVa1aNVl/XMuTJw/169dn5MiRZMuWjRkzZnD48OEkDbC5n1q1avHiiy8ybtw4zp07R4sWLXBzc+PAgQNkzZqVfv368cQTT5AzZ0569erFqFGjyJIlC59//jm//PLLQz12mTJlCAgIIDAwkFOnTsWpibxmzRpmzJjBM888Q7FixTAMg+XLl3PlypVUr7me2PeUt7c3I0eOZMSIEbz00kt06NCBixcvMmbMGNzd3Rk1atR9Hys5/l/HZ8qUKTz55JM89thjvP7665QoUYJz586xatUqZs+eTfbs2WnRogVvv/02o0aNok6dOhw5coSxY8fi7+//QHMBODs7s2LFCho3bkxAQACvvPIK9erVI1u2bPz77798/fXXrF69msuXLztsF/v5FxUVRUhICDt27GD+/Pn2/d2vTm96osRtJnLnJQVeXl74+/szZcoUevfube93dnZm1apVfPDBB3z22WcEBgbi4uJCwYIFqVOnjsN/8DFjxhAUFESPHj24du0aRYoU4cSJE3Tp0oWQkBBmzZrFJ598QrFixXj99dc5ffo0Y8aMSdXnnJxmz57N448/zuzZs5kxYwYxMTHkz5+fmjVr8uijj9rXi51gJCYmJsVjcnd357HHHuOzzz7jxIkTREZGUrhwYYYNG8bQoUPt67366qv88ccfjBgxgqtXr2IYBoZh4O7uzpYtW3jjjTeYNGkS58+fp0CBAgwePNjhgOHk5MTq1at57bXXePfdd4mIiKBmzZosWrSIxx9/PNGJ18WLF/Pqq68ydOhQoqKiqFmzJhs3boxTfD8jatq0KWD+4pkrVy4qVqzIhAkT6NKliyYdE5GHouP7w0mJ47uTkxNLliyhRYsWfPzxx7z00ktcvXoVMMvz/PLLLw9Ux61mzZr88ssvTJgwgalTp3L69GkiIyMBGDt2LCNGjLDX/UsJiT1vAPjggw/o06cPzz33HDdv3kz0xJ8iknj6/H84KfX97tatWwQEBMS77OjRo5QoUSJZ4gdzwqzy5cvz5ptvcvLkSYoXL87nn39O+/btk+0xABYsWMAjjzzCvHnzWLBgAR4eHpQrV44RI0YA5pUj3377La+99hovvPAC2bJlo1WrVixdupRHHnnkoR67S5cu9OzZEw8PjzjPq2TJknh7ezNx4kTOnj2Lq6srpUuXZsGCBXTq1OmhHvdBJPY9NXz4cPLly8e0adNYunQpHh4e1K1bl/Hjx1OyZMn7Pk5y/L+OT+XKlfn5558ZNWoUw4cP59q1a/j6+lK/fn37QKM33niDmzdvMm/ePCZOnEi5cuWYNWsWK1aseODjfPHixdm/fz8ffvghK1asYObMmYSHh+Pn50ft2rXZuXOnw6RicPvzz9XVFW9vb8qWLcuwYcPo3r17hkraAtiMhKZbExG5j8WLF/P888+za9cunnjiCavDERERSdO6d+/Op59+yrJly+LMTv2gfvvtN2rVqkWVKlX47rvv8PDwSJb9iohI2maz2ejTpw/Tp0+3OhQRSUEacSsiibJkyRLOnDlDxYoVcXJy4scff2TSpEnUrl1bSVsREZFEmD17NufOnaNdu3asXr06WS7jrFixIt988w1NmjShTZs2fPPNNyq/IyIiIpJBKHErIomSPXt2vvjiC8aNG8eNGzfw8/Ojc+fOjBs3zurQRERE0gVnZ2dWr16d7PutU6cOYWFhyb5fEREREbGWSiWIiIiIiIiIiIiIpDH3nwpeRERERERERERERFKVErciIiIiIiIiIiIiaYwStyIiIiIiIiIiIiJpTLqYnCwmJoazZ8+SPXt2bDab1eGIiEg6YxgG165dI3/+/Dg5Zd7fLHU8FRGRh6HjqUnHUxEReRhJOZ6mi8Tt2bNnKVSokNVhiIhIOnfq1CkKFixodRiW0fFURESSg46nOp6KiMjDS8zxNEmJ28DAQJYvX87hw4fx8PDgiSeeYMKECZQuXTrBbbZu3Uq9evXi9B86dIgyZcok6nGzZ88OmE8oR44cSQlZRESE0NBQChUqZD+eZFY6noqIyMPQ8dSk46mIiDyMpBxPk5S43bZtG3369KFGjRpERUXxxhtv0LhxY/7880+yZct2z22PHDnicFDLmzdvoh839vKTHDly6MAoIiIPLLNfzqjjqYiIJAcdT3U8FRGRh5eY42mSErfr1q1zaM+fP598+fKxb98+ateufc9t8+XLh7e3d1IeTkRERERERERERCRTeqiK8levXgUgV65c9123atWq+Pn50aBBA7Zs2fIwDysiIiIiIiIiIiKSoT3w5GSGYTBo0CCefPJJKlSokOB6fn5+zJkzh2rVqhEeHs5nn31GgwYN2Lp1a4KjdMPDwwkPD7e3Q0NDHzRMERERERERERERkXTngRO3ffv25ddff2Xnzp33XK906dIOk5cFBARw6tQpJk+enGDiNjAwkDFjxjxoaCKSRsTExBAREWF1GJIJZMmSBWdnZ6vDEBEREbGLjo4mMjLS6jAkk9D5sEjG9ECJ2379+rFq1Sq2b99OwYIFk7z9448/zqJFixJcPnz4cAYNGmRvx862JiLpR0REBMePHycmJsbqUCST8Pb2xtfXN9NPmCIiIiLWMgyD4OBgrly5YnUoksnofFgk40lS4tYwDPr168eKFSvYunUr/v7+D/SgBw4cwM/PL8Hlbm5uuLm5PdC+RcR6hmEQFBSEs7MzhQoVwsnpocppi9yTYRjcvHmTkJAQgHseX0RERERSWmzSNl++fGTNmlVJNElxOh8WybiSlLjt06cPixcv5ptvviF79uwEBwcD4OXlhYeHB2COlj1z5gwLFy4EYOrUqRQtWpTy5csTERHBokWLWLZsGcuWLUvmpyIiaUVUVBQ3b94kf/78ZM2a1epwJBOIPQaFhISQL18+XSYmIiLyn+ho2LEDgoLAzw9q1QIdJlNOdHS0PWmbO3duq8ORTETnwyIZU5KGwc2cOZOrV69St25d/Pz87LelS5fa1wkKCuLkyZP2dkREBIMHD6ZSpUrUqlWLnTt38u2339KmTZvkexYikqZER0cD4OrqanEkkpnE/kigWnIiIiKm5cuhaFGoVw86djT/LVrU7M8otm/fTsuWLcmfPz82m42VK1fed5tt27ZRrVo13N3dKVasGLNmzUq2eGLPQzR4Qayg82GRjCfJpRLuZ8GCBQ7toUOHMnTo0CQFJSIZgy4Lk9Sk95uIiMhty5fDs8/C3V/hzpwx+7/+GjLCWJobN25QuXJlunTpQtu2be+7/vHjx2nevDk9evRg0aJF7Nq1i969e5M3b95EbZ9YOi8RK+h9J5Kygq7e4viFG/jnyYafl0eqPOYDTU4mIiIiIiIiaVN0NLz6atykLZh9NhsMGACtWqX/sgnNmjWjWbNmiV5/1qxZFC5cmKlTpwJQtmxZ9u7dy+TJk5M1cSsiIhnL0j0nGb78N2IMcLJBYJuKtK9ROMUfVzMGiYhYrHPnzjzzzDP3XS+xl/8lVtGiRe1fWkRERCTj2LEDTp9OeLlhwKlT5nqZze7du2ncuLFDX5MmTdi7d2+Cl5eHh4cTGhrqcJPkpfNhEUnLgq7esidtAWIMGLH8d4Ku3krxx9aIWxFJNatXr07Vx2vZsmWS1u/cuTOffvppnP4mTZqwbt265Aorjg8++CBRpWiCgoLImTNnisUhIiIiGUNQUPKul5EEBwfj4+Pj0Ofj40NUVBQXLlzAz88vzjaBgYGMGTMmtUK0jFXnwpC2z4dDQ0OZMGECy5Yt48SJE3h7e1OhQgV69+5N69atsdls1K1bl23btgHmPB958uThkUceoUuXLnHm94mvnEHNmjXZuXNnqjwfEUm64xdu2JO2saINgxMXbqZ4yQQlbtOhlE5+JTXZJZKRNG3alPnz5zv0ubm5pehjenl53XN5REQErq6u+Pr6pmgcIiIikjHEk3t8qPUymrsTZ7EJw4Tqgw4fPpxBgwbZ26GhoRQqVCjlArSQFefCkHbPh69cucKTTz7J1atXGTduHDVq1MDFxYVt27YxdOhQ6tevj7e3NwA9evRg7NixREZGcubMGVasWMFzzz1H586dmTNnjsN+58+fT9OmTe1tTeoskrb558mGkw2H5K2zzUbRPCk/EaVKJYiI3MHNzQ1fX1+HW+yv+jabjdmzZ9OiRQuyZs1K2bJl2b17N3///Td169YlW7ZsBAQEcOzYMfv+Ro8eTZUqVZg9ezaFChUia9as/O9//+PKlSv2de6+NKxu3br07duXQYMGkSdPHho1amR//DsvDTt9+jTPPfccuXLlIlu2bFSvXp2ffvoJgGPHjtGqVSt8fHzw9PSkRo0abNq0KeVeOBEREUkzatWCggXNWrbxsdmgUCFzvczG19eX4OBgh76QkBBcXFzInTt3vNu4ubmRI0cOh1tqCbp6ix+OXUiVy3Hh3ufCkPnOh0eMGMGJEyf46aef6NSpE+XKlaNUqVL06NGDgwcP4unpaV83a9as+Pr6UqhQIR5//HEmTJjA7NmzmTt3bpzH9fb2dniNc+XKlaS4RCR1+Xl5ENimIs7/HVidbTbGt6mQKhOUKXErIpIEb7/9Ni+99BIHDx6kTJkydOzYkZdffpnhw4ezd+9eAPr27euwzd9//82XX37J6tWrWbduHQcPHqRPnz73fJxPP/0UFxcXdu3axezZs+Msv379OnXq1OHs2bOsWrWKX375haFDhxITE2Nf3rx5czZt2sSBAwdo0qQJLVu25OTJk8n0SoiIiEha5ewMH3xg3r87eRvbnjo1/U9M9iACAgLYuHGjQ9+GDRuoXr06WbJksSiq+C3dc5Ka735Px7k/UfPd71m6J22cx2WW8+GYmBi++OILnn/+efLnzx9nuaenJy4u976IuVOnTuTMmZPly5cn6jFFJO1qX6MwO1+vx5Iej7Pz9XqpMjEZqFSCiIiDNWvWOPxyDjBs2DBGjhwJQJcuXWjXrp29PyAggJEjR9KkSRMAXn31Vbp06eKwfVhYGJ9++ikFCxYE4MMPP+Spp57ivffeS/ByrxIlSjBx4sQE41y8eDHnz59nz5499l/oS5QoYV9euXJlKleubG+PGzeOFStWsGrVqjgn0iIiIpLxtGkDX38Nr77qOFFZwYJm0vauspvp1vXr1/n777/t7ePHj3Pw4EFy5cpF4cKFGT58OGfOnGHhwoUA9OrVi+nTpzNo0CB69OjB7t27mTdvHkuWLLHqKcQroYlwapfKm6IjvO53LgyZ53z4woULXL58mTJlytx33YQ4OTlRqlQpTpw44dDfoUMHnO/45WTRokWJmpxNRKzl5+WRKqNs76TErYjIHerVq8fMmTMd+u68dKlSpUr2+7ETW1SsWNGhLywsjNDQUPtldIULF7afpII50iMmJoYjR44keKJavXr1e8Z58OBBqlatmuBlVTdu3GDMmDGsWbOGs2fPEhUVxa1btzTiVkREJBNp0wZatYIdO8yJyPz8zPIIGWmk7d69e6lXr569HVuLtlOnTixYsICgoCCH8x9/f3/Wrl3LwIED+eijj8ifPz/Tpk2jbdu2qR77vVg1Ec79zoUh85wP36/2cWIZhhFnH++//z4NGza0t+ObFE9EBJS4FRFxkC1bNodf6u925yV0sSdg8fXFXqIVn9h17nUSmC1btnvG6eFx7xP2IUOGsH79eiZPnkyJEiXw8PDg2WefJSIi4p7biYiISMbi7Ax161odRcqpW7euPcEWnwULFsTpq1OnDvv370/BqB6eVRPh3O9cGDLP+XDevHnJmTMnhw4dStT68YmOjubo0aPUqFHDod/X1/e+r7OICKjGrYhIijt58iRnz561t3fv3m2/bOpBVapUiYMHD3Lp0qV4l+/YsYPOnTvTunVrKlasiK+vb5xLtEREREQkbbJyIpyUkB7Ph52cnGjfvj2ff/65Q+yxbty4QVRU1D338emnn3L58uU0N6JbRNIPJW5FRO4QHh5OcHCww+3ChQsPtU93d3c6derEL7/8wo4dO+jfvz/t2rVL8LKwxOjQoQO+vr4888wz7Nq1i3/++Ydly5axe/duwKzvtXz5cg4ePMgvv/xCx44d7znqQURERETSFismwkmJc2FIv+fD48ePp1ChQjz22GMsXLiQP//8k6NHj/LJJ59QpUoVrl+/bl/35s2bBAcHc/r0aX766SeGDRtGr169eOWVVxzKeYiIJIVKJYiI3GHdunVxakyVLl2aw4cPP/A+S5QoQZs2bWjevDmXLl2iefPmzJgx46HidHV1ZcOGDbz22ms0b96cqKgoypUrx0cffQSYdbO6du3KE088QZ48eRg2bBihoaEP9ZgiIiIikrpSeyKclDgXhvR7PpwzZ05+/PFH3n33XcaNG8e///5Lzpw5qVixIpMmTcLLy8u+7ty5c5k7dy6urq7kzp2batWqsXTpUlq3bv1Qz1NE0oCYGPjrOyjdHB6y7nVS2Yx7FQRKI0JDQ/Hy8uLq1av24uaZ2erVq1N0/y1btkzR/UvGFxYWxvHjx/H398fd3d3qcCw1evRoVq5cycGDB60OJcO71/tOxxGTXgcREXkYOo6Y7vU66Dw4Lp0Ppx69/0RSwIldsO51CP4Vnv0EKjx86ZOkHE9VKkFERMRigYGB2Gw2BgwYcM/1tm3bRrVq1XB3d6dYsWLMmjUrdQIUERERERHJTC6fgC9fggXNzaStWw6IvJXqYahUgoiIiIX27NnDnDlzqFSp0j3XO378OM2bN6dHjx4sWrSIXbt20bt3b/LmzasJL0RERERERJJD+DXY8R7s/giiI8DmBNU6Q703IFueVA9HI25FRFLQ6NGjdVmYJOj69es8//zzzJ07l5w5c95z3VmzZlG4cGGmTp1K2bJl6d69O127dmXy5MmpFK2IiIhI0ul8WETSlS9fgp3vm0lb/zrQaye0eN+SpC0ocSsiImKZPn368NRTT9GwYcP7rrt7924aN27s0NekSRP27t1LZGRkSoUoIiIiIiKSsd05/deTAyFXMXhuCbz0DfiUty4uVCpBRETEEl988QX79+9nz549iVo/ODgYHx8fhz4fHx+ioqK4cOFCnBmgAcLDwwkPD7e3kzqTsoiIiIiISIZ1+QRsfAt8K0HtwWaff23oswec00bKVCNuRUREUtmpU6d49dVXWbRoUZJm/LXZbA5t479fhu/ujxUYGIiXl5f9VqhQoQcPWkREREREJCMIC4VNo2F6DfjzG9g1DcKv316eRpK2oMStiIhIqtu3bx8hISFUq1YNFxcXXFxc2LZtG9OmTcPFxYXo6Og42/j6+hIcHOzQFxISgouLC7lz5473cYYPH87Vq1ftt1OnTqXI8xEREREREUnzYqJh/0L4sNrtOrbF6kLX78DN0+ro4pV2UsgiIiKZRIMGDfjtt98c+rp06UKZMmUYNmwYzs7OcbYJCAhg9erVDn0bNmygevXqZMmSJd7HcXNzw83NLfkCFxERERERSY+CfoVvekPwf9/DchWHJuOhVBNI4ArGtECJWxERkVSWPXt2KlSo4NCXLVs2cufObe8fPnw4Z86cYeHChQD06tWL6dOnM2jQIHr06MHu3buZN28eS5YsSfX4RURERERE0hXXbBByGNy8oO4wqNEDXFytjuq+VCpBRCSDOXHiBDabjYMHD1odijyEoKAgTp48aW/7+/uzdu1atm7dSpUqVXj77beZNm0abdu2tTBKERERkbRF58IiAph1bP9Ycbuduzj8bz70PwABfdJF0haUuBURsevcuTM2m81+y507N02bNuXXX39N8n6eeeaZZInpzniyZ89O9erVWb58+T23KVSoEEFBQXFGdKaGunXr2uN1c3OjVKlSjB8/3l6zdevWrfblTk5OeHl5UbVqVYYOHUpQUJDDvkaPHu3w/GNvmzZtSvXnlRq2bt3K1KlT7e0FCxawdetWh3Xq1KnD/v37CQ8P5/jx4/Tq1St1gxQREZEMS+fCyePvv/+mS5cuFCxYEDc3N/z9/enQoQN79+61r3Pn88qWLRslS5akc+fO7Nu3z2Ffd54733l78803U/tpiaQfMdGw71P48BH4qgucPXB7WdmWkC3++UHSKiVuRUTu0LRpU4KCgggKCmLz5s24uLjQokULS2OaP38+QUFB7Nmzh8qVK/O///2P3bt3x7tuREQEzs7O+Pr64uJiTTWcHj16EBQUxJEjR+jfvz9vvvkmkydPdljnyJEjnD17lj179jBs2DA2bdpEhQoV4tR9LV++vP3vEXurXbt2aj4dERERkUxD58IPZ+/evVSrVo2//vqL2bNn8+eff7JixQrKlCnDa6+95rBu7PP6448/+Oijj7h+/TqPPfaYvUzWnY4cOeJwPvz666+n1lMSSV+O74A5dWB1f7hx3hxlGxlmdVQPRYlbEZE7uLm54evri6+vL1WqVGHYsGGcOnWK8+fP29c5c+YM7du3J2fOnOTOnZtWrVpx4sQJwBwl+umnn/LNN9/YfxGPHTU5bNgwSpUqRdasWSlWrBgjR44kMjLyvjF5e3vj6+tLmTJlmDVrFu7u7qxatQqAokWLMm7cODp37oyXlxc9evSIc3lY7C/169evp2rVqnh4eFC/fn1CQkL47rvvKFu2LDly5KBDhw7cvHnT/riGYTBx4kSKFSuGh4cHlStX5uuvv75vvFmzZsXX15eiRYvSt29fGjRowMqVKx3WyZcvH76+vpQqVYrnnnuOXbt2kTdvXl555RWH9VxcXOx/j9ibq2v6uKRFREREJL3RufCDnwsbhkHnzp0pWbIkO3bs4KmnnqJ48eJUqVKFUaNG8c0338T7vIoWLUrjxo35+uuvef755+nbty+XL192WDf23Dn25unped/XTSRTuXQclr4An7YwJx9z94ImgfDKbigSYHV0D0WTk4lIyjMMuOMkKFVlzfrAM0Rev36dzz//nBIlSpA7t3k5xc2bN6lXrx61atVi+/btuLi4MG7cOPtlZIMHD+bQoUOEhoYyf/58AHLlygWYE1ItWLCA/Pnz89tvv9GjRw+yZ8/O0KFDEx1TlixZcHFxcTjJnTRpEiNHjrzvJVOjR49m+vTpZM2alXbt2tGuXTvc3NxYvHgx169fp3Xr1nz44YcMGzYMgDfffJPly5czc+ZMSpYsyfbt23nhhRfImzcvderUSXTMHh4ecU4+41unV69eDBw4kJCQEPLly5fo/YuIiIikCxE3El5mc4Ys7olc1wmyeNx7XddsSY/vLjoXTtq58MGDB/njjz9YvHgxTk5xx8h5e3vf9/kNHDiQhQsXsnHjRtq1a3ff9UUEiI6E+c3h2lnz87F6V6g7It2VREiIErcikvJu3gSrfhW+fh2yJf7Edc2aNfZfsG/cuIGfnx9r1qyxn3x98cUXODk58fHHH2P7LyE8f/58vL292bp1K40bN8bDw4Pw8HB8fX0d9n3nyWTRokV57bXXWLp0aaJPVsPDw5k0aRKhoaE0aNDA3l+/fn0GDx5sb8eOeLjbuHHjqFmzJgDdunVj+PDhHDt2jGLFigHw7LPPsmXLFoYNG8aNGzeYMmUK33//PQEB5i+UxYoVY+fOncyePTtRiduYmBg2bNjA+vXrGTBgwH3XL1OmjD3+2MTtb7/95jCioFy5cvz888/33ZeIiIhImjM+f8LLSjaG57+63Z5UAiITGPhQ5Eno8u3t9tSKcPOi4zqjrz5QiDoXfvBz4aNHjwK3z2kfxJ3nw3cqWLCgQ/vff/+1J9NFMqWYaDNJa7OBcxaoPRgOrYYm48GnnNXRJSslbkVE7lCvXj1mzpwJwKVLl5gxYwbNmjXj559/pkiRIuzbt4+///6b7NmzO2wXFhbGsWPH7rnvr7/+mqlTp/L3339z/fp1oqKiyJEjx31j6tChA87Ozty6dQsvLy8mT55Ms2bN7MurV6+eqOdWqVIl+30fHx/7ZWp39sUmRf/880/CwsJo1KiRwz4iIiKoWrXqPR9nxowZfPzxx0RERADw4osvMmrUqPvGZxgGgP1LAEDp0qXtl8KBefmeiIiIiKQMnQs/+LlwfOeySZXQPnbs2OHwmufMmfOBH0Mk3Tu+HdaNMJO15Z8x+6p3NW8P8f8vrVLiVkRSXtas5shXqx47CbJly0aJEiXs7WrVquHl5cXcuXMZN24cMTExVKtWjc8//zzOtnnz5k1wvz/++CPPPfccY8aMoUmTJnh5efHFF1/w3nvv3Tem999/n4YNG5IjR454SwhkS+SI4ixZstjv22w2h3ZsX0xMDID932+//ZYCBQo4rHe/5Onzzz/PG2+8gZubG/nz58fZ2TlR8R06dAgwR2DEcnV1dfh7iIiIiKRbI84mvMx21/nSkL/vse5dl+EP+C3+9R6AzoUf/Fy4VKlSgHlOW6VKlUTFdLfY82F/f3+Hfn9//0SVWhDJ0C79AxtGwuE1ZnvHe1CulZmszYAJ21hK3IpIyrPZklSuIC2x2Ww4OTlx69YtAB555BGWLl1Kvnz5Ehwh4OrqSnR0tEPfrl27KFKkCG+88Ya9799//01UDL6+vqmevCxXrhxubm6cPHkySfVsAby8vJIc761bt5gzZw61a9e+50m/iIiISLqVlLqzKbVuEulcOPHnwlWqVKFcuXK89957tG/fPk6d2ytXrtw3+Tp16lRy5MhBw4YNHzR0kYwn7Cpsnww/zoSYSPOHrupdoe7wDJ2wjaXErYjIHcLDwwkODgbg8uXLTJ8+nevXr9OyZUvAHE06adIkWrVqxdixYylYsCAnT55k+fLlDBkyhIIFC1K0aFHWr1/PkSNHyJ07tz2RefLkSb744gtq1KjBt99+y4oVK6x8qveUPXt2Bg8ezMCBA4mJieHJJ58kNDSUH374AU9PTzp16vRQ+w8JCSEsLIxr166xb98+Jk6cyIULF1i+fHkyPQMRERERSSqdC5se5FzYZrMxf/58GjZsSO3atRkxYgRlypTh+vXrrF69mg0bNrBt2zb7+leuXCE4OJjw8HD++usvZs+ezcqVK1m4cKFG14rE+nMVrBkINy+Y7eL1zTq2+cpaG1cqUuJWROQO69atw8/PDzBP2MqUKcNXX31F3bp1AciaNSvbt29n2LBhtGnThmvXrlGgQAEaNGhgH3XQo0cPtm7dSvXq1bl+/TpbtmyhVatWDBw4kL59+xIeHs5TTz3FyJEjGT16tEXP9P7efvtt8uXLR2BgIP/88w/e3t488sgjjBgx4qH3Xbp0aWw2G56enhQrVozGjRszaNCgOJNYiIiIiEjq0bnwbQ9yLvzoo4+yd+9e3nnnHXr06MGFCxfw8/PjiSeeYOrUqQ7rdunSBQB3d3cKFCjAk08+yc8//8wjjzySkk9LJH1xy24mbXOXNBO2JRtlilG2d7IZsdWv07DQ0FC8vLy4evVqooqXZ3SrV69O0f3H/poq8qDCwsI4fvw4/v7+uLu7Wx2OZBL3et/pOGLS6yAiIg9DxxHTvV4HnQeLlfT+k3Tv4jEI+RPK3pGXOvwtlGwMzlkS3i6dScrxVCNuRURERERERERExBphV2H7JPhxFri4QcEakP2/qzHLPGVtbBZT4lZERERERERERERSV0w07F8I34+7Xce2UG2ICrc2rjREiVsRERERERERERFJPf9sg/Uj4NzvZjtPqdt1bMVOiVsRERERERERERFJHaFBsKgtxESCuzfUGwHVu2aoOrbJRYlbERERERERERERSTlR4Wb9WoAcfvD4K2Zf3dchay5rY0vDlLgVkRRjGIbVIUgmEhMTY3UIIiIiIoDOS8Qaet9JmhQdBQcWwpZAeOFr8Kts9jcaCzabtbGlA0rcikiyy5IlCzabjfPnz5M3b15s+jCWFGQYBhEREZw/fx4nJydcXV2tDklEREQyKVdXV5ycnDh79ix58+bF1dVV58KS4nQ+LGnWP1th3QgI+cNs/zQHnvnIvK/PxkRR4lZEkp2zszMFCxbk9OnTnDhxwupwJJPImjUrhQsXxsnJyepQREREJJNycnLC39+foKAgzp49a3U4ksnofFjSjIvHYMObcGSt2fbICXVHQPUu1saVDilxKyIpwtPTk5IlSxIZGWl1KJIJODs74+LiohEtIiIiYjlXV1cKFy5MVFQU0dHRVocjmYTOhyXN2DYJtk0wJx6zOcOjPaDOMNWxfUBK3IpIinF2dsbZ2dnqMEREREREUpXNZiNLlixkyaIZ0kUkk/HwNpO2JRtD43GQt7TVEaVrStyKiIiIiIiIiIhI0h3bAhhQvL7ZrtYF8pSCYnUsDSujUOJWREREREREREREEu/C32Yd27++A+8i0HcPuLiBs4uStslIFatFREREREQyquBgeP55OHzY6khERCQjuHUF1o2AGY+ZSVsnFyjdHKIjrI4sQ9KIWxERERERkYzGMGDePBgyBK5cgaAg+P57q6MSEZH0KjoK9i+A79+BW5fMvpJN/qtjW8rS0DIyJW5FREREREQykqNHoWdP2LrVbFerBlOmWBqSiIikcyd3w7evmffzlIam46FEQ2tjygSSVCohMDCQGjVqkD17dvLly8czzzzDkSNH7rvdtm3bqFatGu7u7hQrVoxZs2Y9cMAiIiIiIiISj8hICAyEihXNpG3WrPDee/Djj1ClitXRiYhIehN+/fZ9/1pQuQM0nwyv/KCkbSpJUuJ227Zt9OnThx9//JGNGzcSFRVF48aNuXHjRoLbHD9+nObNm1OrVi0OHDjAiBEj6N+/P8uWLXvo4EVERERERATYsweqV4cRIyA8HBo3ht9/h0GDwEUXWoqISBLcumzWsZ1aEa6H3O5vPQse7WFOQCapIkmv9Lp16xza8+fPJ1++fOzbt4/atWvHu82sWbMoXLgwU6dOBaBs2bLs3buXyZMn07Zt2weLWkREREREROD6dRg5EqZNg5gYyJ0bpk41JySz2ayOTkRE0pPoKNg3H7aMv13H9vfl8Hgva+PKxB4qRX716lUAcuXKleA6u3fvpnHjxg59TZo0Yd68eURGRpIlS5aHCUFERERERCRzWrcOevWCf/812y+8YNayzZvX2rhERCT9+XszrB8B5w+b7bxloMk7KolgsQdO3BqGwaBBg3jyySepUKFCgusFBwfj4+Pj0Ofj40NUVBQXLlzAz88vzjbh4eGEh4fb26GhoQ8apoiIiIiISMZy/jwMHAiff262ixSB2bOhSRNr4xIRkfQnJga+fBEOrzHbHrmg3gio1kUlEdKAB/4L9O3bl19//ZWdO3fed13bXZfoGIYRb3+swMBAxowZ86ChiYiIiIiIZDyGAYsWmUnbixfByQlefRXGjgVPT6ujExGR9MjJCbwKgZMLPPoy1BkCHjmtjkr+k6TJyWL169ePVatWsWXLFgoWLHjPdX19fQkODnboCwkJwcXFhdy5c8e7zfDhw7l69ar9durUqQcJU0REREREJGM4ftwcUfvSS2bStlIl+PFHszSCkrYiIpJY0VHw81wI/u12X91h0PsnaDpeSds0Jkkjbg3DoF+/fqxYsYKtW7fi7+9/320CAgJYvXq1Q9+GDRuoXr16gvVt3dzccHNzS0poIiIiIiIiGU9UlDnx2MiRcPMmuLnB6NHw2mug+UJERCQp/t4E698w69gWrQWdVpsTWXrkVMI2jUpS4rZPnz4sXryYb775huzZs9tH0np5eeHh4QGYo2XPnDnDwoULAejVqxfTp09n0KBB9OjRg927dzNv3jyWLFmSzE9FREREREQkAzl4ELp3h337zHbdujBnDpQsaWVUIiKS3pz/Cza8AUc3mG2PXFD+GbMETwJlTCVtSFLidubMmQDUrVvXoX/+/Pl07twZgKCgIE6ePGlf5u/vz9q1axk4cCAfffQR+fPnZ9q0abRt2/bhIhcREREREcmIbt2CMWNg8mSIjgZvb/N+1676gi0iIol38xJsmwh75kJMlFnH9rFeUHsIeHhbHZ0kQpJLJdzPggUL4vTVqVOH/fv3J+WhREREREREMp/vv4eePeHYMbP9v/+ZpRJ8fa2NS0RE0p8/lsNP5iBMSjWDxuMgTwlrY5IkSVLiVkRERERERFLApUsweDDMn2+2CxaEGTOgZUtr4xIRkfTl5iXImsu8/0gn+GcbVO8CxetbG5c8ECVuRURERERErGIY8OWX0L8/hISYpRB694bx4yFHDqujExGR9CK2ju2Fo9DnJ3BxA+cs0P4zqyOTh+BkdQAiIiIiIiKZ0smT5oja554zk7Zly8LOnTB9upK2STBjxgz8/f1xd3enWrVq7Nix457rf/7551SuXJmsWbPi5+dHly5duHjxYipFKyKSzG5egu+GwcwAc/Kxq6fh1E9WRyXJRIlbERERERGR1BQdbSZny5eHb7+FLFlg9Gg4cACeeMLq6NKVpUuXMmDAAN544w0OHDhArVq1aNasmcOE2XfauXMnL730Et26deOPP/7gq6++Ys+ePXTv3j2VI5fkFHT1Fj8cu0DQ1VtWhyKSeqIj4afZMK0q/DTLnHysdHNztK1/baujk2SiUgkiIiIiIiKp5Y8/oHt3+PFHs/3EEzB3LpQrZ21c6dSUKVPo1q2bPfE6depU1q9fz8yZMwkMDIyz/o8//kjRokXp378/AP7+/rz88stMnDgxVeOW5LN0z0mGL/+NGAOcbBDYpiLtaxS2OiyRlHXzEnzSFC4cMdv5ykGT8VC8nrVxSbLTiFsREZFUNnPmTCpVqkSOHDnIkSMHAQEBfPfddwmuv3XrVmw2W5zb4cOHUzFqERF5KOHh8NZbULWqmbTNnt2cfGzHDiVtH1BERAT79u2jcePGDv2NGzfmhx9+iHebJ554gtOnT7N27VoMw+DcuXN8/fXXPPXUUwk+Tnh4OKGhoQ43SRuCrt6yJ20BYgwYsfx3jbyVjC9rLvAuDFlzQ4v34eUdStpmUBpxKyIiksoKFizIu+++S4kSJQD49NNPadWqFQcOHKB8+fIJbnfkyBFy3FHzMG/evCkeq4iIJIOdO6FHD4j9wa1VK7NUQsGC1saVzl24cIHo6Gh8fHwc+n18fAgODo53myeeeILPP/+c9u3bExYWRlRUFE8//TQffvhhgo8TGBjImDFjkjV2SR7HL9ywJ21jRRsGJy7cxM/Lw5qgRFLCzUuw4z2oOQA8//sO0PIDcPMEdy9LQ5OUpRG3IiIiqaxly5Y0b96cUqVKUapUKd555x08PT35Mfay2QTky5cPX19f+83Z2TmVIhYRkQdy9Sq88grUqmUmbX194euvYcUKJW2Tkc1mc2gbhhGnL9aff/5J//79eeutt9i3bx/r1q3j+PHj9OrVK8H9Dx8+nKtXr9pvp06dStb45cH558mG011/amebjaJ5sloTkEhyi46EH2eZdWx3T4ct79xe5lVASdtMQCNuRURELBQdHc1XX33FjRs3CAgIuOe6VatWJSwsjHLlyvHmm29Sr969L4cKDw8nPDzc3talnSIiqWjFCujbF86eNds9esCECZAzp7VxZSB58uTB2dk5zujakJCQOKNwYwUGBlKzZk2GDBkCQKVKlciWLRu1atVi3Lhx+Pn5xdnGzc0NNze35H8C8tD8vDwIbFOREct/J9owcLbZGN+mgkbbSsZwdCOsHwEX/jLb+cpD+dbWxiSpTolbERERC/z2228EBAQQFhaGp6cnK1asoFwCNQ79/PyYM2cO1apVIzw8nM8++4wGDRqwdetWatdOeMZYXdopImKBs2ehXz9YvtxslyxpTj5Wp461cWVArq6uVKtWjY0bN9K69e1kxsaNG2nVqlW829y8eRMXF8evwbFXsBiGEd8mksa1r1GY2qXycuLCTYrmyaqkraR/IYdhwxvw9yaznTU31H8THukETrriLrNR4lZERMQCpUuX5uDBg1y5coVly5bRqVMntm3bFm/ytnTp0pQuXdreDggI4NSpU0yePPmeidvhw4czaNAgezs0NJRChQol7xMRERFTTAx8/DEMHWqWSHBxMe+PHAnu7lZHl2ENGjSIF198kerVqxMQEMCcOXM4efKkvfTB8OHDOXPmDAsXLgTMckU9evRg5syZNGnShKCgIAYMGMCjjz5K/vz5rXwq8hD8vDyUsJWMY+8nZtLWKQs83gtqD1FJhExMiVsRERELuLq62icnq169Onv27OGDDz5g9uzZidr+8ccfZ9GiRfdcR5d2ioikkiNHoGdP2L7dbNeoYSZxK1WyNq5MoH379ly8eJGxY8cSFBREhQoVWLt2LUWKFAEgKCiIkydP2tfv3Lkz165dY/r06bz22mt4e3tTv359JkyYYNVTEJHMLjoSbl0Gz3xmu+7rEHYF6gyD3MUtDU2sp8StiIhIGmAYhkM92vs5cOBAvHX4REQkFUVEwKRJ8PbbEB4O2bLBuHFmqQRNIJlqevfuTe/eveNdtmDBgjh9/fr1o1+/fikclYjIfRjG7Tq2OfLDS9+AzQZZc0GbOVZHJ2mEErciIiKpbMSIETRr1oxChQpx7do1vvjiC7Zu3cq6deuAuJd1Tp06laJFi1K+fHkiIiJYtGgRy5YtY9myZVY+DRGRzO2nn6B7d/j9d7PdrBnMnAn/jfQUERFJUMhhM2F7bLPZvnUZQs+AV0Fr45I0R4lbERGRVHbu3DlefPFFgoKC8PLyolKlSqxbt45GjRoBcS/rjIiIYPDgwZw5cwYPDw/Kly/Pt99+S/Pmza16CiIimde1a/Dmm/Dhh+ZoqTx54IMPoEMHc6SUiIhIQm5chK2BZh1bI/q/OravQO3BqmMr8VLiVkREJJXNmzfvnsvvvqxz6NChDB06NAUjEhGRRPn2W3jlFTh1ymy/9BK8956ZvBUREbmX4N9gwVMQdtVsl2kBjcaqjq3ckxK3IiIiIiIi9xISAq++Cl98Ybb9/WH2bPjvSgkREZH7ylsGPH3AqzA0HQ/+ta2OSNIBJ6sDEBERERERSZMMAxYsgLJlzaStkxMMHgy//aakrYiI3FvIIfimL0RFmG3nLPDCcnh5m5K2kmgacSsiIiIiInK3Y8fg5Zdh838Tx1SpAh9/DNWqWRqWiIikcTcuwtbxsHe+Wcc2b2l4op+5zLuQtbFJuqPErYiIiIiISKyoKHj/fRg1Cm7dAnd3GDMGBg6ELFmsjk5ERNKqqAjY8zFse9exjm2Zp6yNS9I1JW5FREREREQA9u+H7t3hwAGzXb++Wcu2RAlr4xIRkbTLMODoBlg/Ai7+bfb5VFQdW0kWStyKiIiIiEjmdvOmOcL2/fchOhpy5oQpU6BTJ7DZrI5ORETSup9mm0nbbHmh/kio+gI4OVsdlWQAStyKiIiIiEjmtWmTWcv2n3/M9nPPwdSp4ONjaVgiIpKG3bho/rCXNZf5b5Px8MtiqDUY3HNYHZ1kIE5WByAiIiIiIpLqLl6Ezp2hUSMzaVuoEKxZA0uWKGkrIiLxi4qA3R/BtKrw/bjb/fnKQKOxStpKstOIWxERERERyTwMw0zODhgA58+bI6X69YNx4yB7dqujExGRtMgw4K91sP4NuHTM7Duzz0zkurhaG5tkaErcioiIiIhI5vDvv/DKK/Ddd2a7QgWYOxcef9zauEREJO0694c58dg/W812tnzQYCRUeV51bCXFKXErIiIiIiIZW3Q0TJ8Ob7wBN26AqyuMHAlDh5r3RURE4vP7MljWHYwYcHaFgD7w5CCVRJBUo8StiIiIiIhkXL/9Bt27w88/m+1atWDOHChTxtq4REQk7fOvC27ZoVhdaDgGcvlbHJBkNkrcioiIiIhIxhMWZtatnTABoqIgRw6YOBF69AAnzdEsIiJ3MQw48h0cXQ8tppo10LPlhr57wTOf1dFJJqXErYiIiIiIZCzbtkHPnvDXX2a7TRv48EPIn9/auEREJG069wesGw7Ht5nt0s2hVBPzvpK2YiElbkVERBLp1KlT2Gw2ChYsCMDPP//M4sWLKVeuHD179rQ4OhER4coVs27t3Llm288PPvoIWre2NCwREUmjblyALe/AvgWOdWwLB1gdmQgAukZIREQkkTp27MiWLVsACA4OplGjRvz888+MGDGCsWPHWhydiEgmZhiwbBmULXs7afvyy/Dnn0raiohIXNGR8MOHMK0q7P3ETNqWawV990DD0Zp8TNIMJW5FREQS6ffff+fRRx8F4Msvv6RChQr88MMPLF68mAULFlgbnIhIZnXmjJmcffZZCA6G0qVh+3aYNQu8va2OTkRE0iLDMEfZhoeCbyXovBbaLYScRa2OTMSBSiWIiIgkUmRkJG5ubgBs2rSJp59+GoAyZcoQFBRkZWgiIplPTAzMng2vvw6hoeDiAsOHw4gR4O5udXQiIpLWnPsTcpcAF1fz1nwSXD0DVTqCk7PV0YnESyNuRUREEql8+fLMmjWLHTt2sHHjRpo2bQrA2bNnyZ07t8XRiYhkIocOQe3a0Lu3mbR97DHYvx/GjlXSVkREHF0/D6sHwKyasOfj2/3F68MjLyppK2maErciIiKJNGHCBGbPnk3dunXp0KEDlStXBmDVqlX2EgoiIpKCIiLM5GyVKrBrF3h6wrRp5v2KFa2OTkRE0pKocNg1DT58BPbNN+vYnj9sdVQiSaJSCSIiIolUt25dLly4QGhoKDlz5rT39+zZk6xZs1oYmYhIJrB7N/ToAX/8YbafegpmzIDCha2NS0RE0hbDgCNrYf0bcPm42edXGZq+C0WesDY2kSRS4lZERCQJDMNg3759HDt2jI4dO5I9e3ZcXV2VuBURSSmhoWbd2hkzzC/j+fKZo2zbtQObzeroREQkrdk8FnZOMe97+kCDt6ByR3DSReeS/ihxKyIikkj//vsvTZs25eTJk4SHh9OoUSOyZ8/OxIkTCQsLY9asWVaHKCKSsaxebdaxPX3abHfpApMnQ65c1sYlIiJpV8X/wU+z4fFe8ORAcMtudUQiD0w/N4iIiCTSq6++SvXq1bl8+TIeHh72/tatW7N582YLIxMRyWCCg6F9e3j6aTNpW7w4bNoEn3yipK2IiNwWFQ67PoBNY273+ZSDQX+aI22VtJV0TiNuRUREEmnnzp3s2rULV1dXh/4iRYpw5swZi6ISEclADAPmz4fXXoMrV8DZGQYPhrfeApWkERGRWIYBh9fAhjfh8gmwOUOVjpCnpLncw9vK6ESSjRK3IiIiiRQTE0N0dHSc/tOnT5M9u37NFxF5KEePwssvw5YtZvuRR+Djj6FqVWvjEhGRtCX4N1g3HE7sMNuePtBgFOQqbm1cIilApRJEREQSqVGjRkydOtXettlsXL9+nVGjRtG8eXPrAhMRSc8iI+Hdd6FSJTNp6+Fh1rH96SclbUVE5Labl2BVf5hVy0zaOrtBrcHQbz9UfV6Tj0mGpBG3IiIiifT+++9Tr149ypUrR1hYGB07duTo0aPkyZOHJUuWWB2eiEj6s3cvdO8Ov/xiths1glmzoFgxa+MSEZG0x4iBP1YCBpRvAw1HQ84iFgclkrKUuBUREUmk/Pnzc/DgQZYsWcL+/fuJiYmhW7duPP/88w6TlYmIyH3cuGHWrZ06FWJizAnH3n8fXnwRbDaroxMRkbTAMODfH6DIE+axIVseaDEFchSAIgFWRyeSKpS4FRERSQIPDw+6du1K165drQ5FRCR9Wr8eevWCEyfM9vPPm0nbvHktDUtERNKQoF9h/QizJELHr6BUY7O/4rPWxiWSypS4FRERSaSFCxfec/lLL72USpGIiKRDFy7AwIGwaJHZLlIEZs6EZs2sjUtERNKO6yHw/TjYvxAwwMUdrvxrdVQillHiVkREJJFeffVVh3ZkZCQ3b97E1dWVrFmzKnErIhIfw4DPP4cBA+DiRXPymP794e23wdPT6uhERCQtiAyDn2bC9vcg4prZV6GtWcfWu7CloYlYSYlbERGRRLp8+XKcvqNHj/LKK68wZMgQCyISEUnjjh+HV14xyyMAVKwIH38Mjz5qbVwiIpK2fNERjm027+evCk3fhcKPWxuTSBrgZHUAIiIi6VnJkiV5991344zGFRHJ1KKjzbq1FSqYSVs3Nxg/HvbtU9JWRETiqtENPH3hmVnQ/XslbUX+k+TE7fbt22nZsiX58+fHZrOxcuXKe66/detWbDZbnNvhw4cfNGYREZE0xdnZmbNnz1odhohI2vDLL/D44zBoENy8CXXqwK+/wvDhkCWL1dGJiIjVrofAqn7w89zbfaWbQ/8DUKWDWVJHRIAHKJVw48YNKleuTJcuXWjbtm2itzty5Ag5cuSwt/Nq1lgREUlnVq1a5dA2DIOgoCCmT59OzZo1LYpKRCSNuHULxo6FSZPMEbdeXjB5MnTtqi/hIiISt46tR06o0hFcs4HNBq5ZrY5QJM1JcuK2WbNmNHuAmV/z5cuHt7d3krcTERFJK5555hmHts1mI2/evNSvX5/33nvPmqBERNKCLVugZ0/4+2+z/eyzMG0a+PlZG5eIiFjPMODQKtgwEq78a/blf8SsY+uazdrYRNK4VJucrGrVqoSFhVGuXDnefPNN6tWrl+C64eHhhIeH29uhoaGpEaKIiMg9xcTEWB2CiEjacvkyDB4Mn3xitgsUgI8+glatrI1LRETShpDD8O1r8O9Os53dDxqOhortdDWGSCKk+P8SPz8/5syZw7Jly1i+fDmlS5emQYMGbN++PcFtAgMD8fLyst8KFSqU0mGKiIiIiEhiGQZ8+SWULXs7adu7N/z5p5K2IiJyW0wUnPwBXNyhzjDotw8qP6ekrUgipfiI29KlS1O6dGl7OyAggFOnTjF58mRq164d7zbDhw9n0KBB9nZoaKiStyIiYok7j0f3M2XKlBSMREQkjTh1Cvr0gdWrzXbZsjB3LqjWt4iIRIaZidri9c22bwV4+kPwrwPeyuuIJFWqlUq40+OPP86iRYsSXO7m5oabm1sqRiQiIhK/AwcOJGo9m82W6H3OnDmTmTNncuLECQDKly/PW2+9dc8a8tu2bWPQoEH88ccf5M+fn6FDh9KrV69EP6aIyEOLiYGZM+H11+H6dciSBUaMgOHDQefuIiKZm2HAn9/AxpFw9Qz03g15/xvEV/UFa2MTSccsSdweOHAAP01UICIi6cCWLVuSfZ8FCxbk3XffpUSJEgB8+umntGrVigMHDlC+fPk46x8/fpzmzZvTo0cPFi1axK5du+jduzd58+albdu2yR6fiEgcf/wBPXrA7t1mOyDAHGUbz2eWiIhkMmcPwvoR8O8us509P1wLup24FZEHluTE7fXr1/k7drZYzC+TBw8eJFeuXBQuXJjhw4dz5swZFi5cCMDUqVMpWrQo5cuXJyIigkWLFrFs2TKWLVuWfM9CREQkHWnZsqVD+5133mHmzJn8+OOP8SZuZ82aReHChZk6dSoAZcuWZe/evUyePFmJWxFJWeHhEBgI48dDZCRkzw7vvgu9eqk+oYhIZnctGL5/Gw58DhhmHduar5o312xWRyeSISQ5cbt3717q1atnb8fW/uvUqRMLFiwgKCiIkydP2pdHREQwePBgzpw5g4eHB+XLl+fbb7+lefPmyRC+iIhI6tqzZw9fffUVJ0+eJCIiwmHZ8uXLk7y/6OhovvrqK27cuEFAQEC86+zevZvGjRs79DVp0oR58+YRGRlJlixZkvy4IiL3tWuXOcr20CGz3bIlzJgBBQtaG5eIiFgvOhLm1INrZ812xf9Bg1GqYyuSzJKcuK1bty6GYSS4fMGCBQ7toUOHMnTo0CQHJiIiktZ88cUXvPTSSzRu3JiNGzfSuHFjjh49SnBwMK1bt07Svn777TcCAgIICwvD09OTFStWUK5cuXjXDQ4OxsfHx6HPx8eHqKgoLly4kGD5ofDwcMLDw+3t0NDQJMUoIpnU1atm3dqZM822jw98+CE8+ywkoZ63iIhkMIZx+zjgnAUefwX+XAlN34VCj1oamkhGpeubREREEmn8+PG8//77rFmzBldXVz744AMOHTpEu3btKFy4cJL2Vbp0aQ4ePMiPP/7IK6+8QqdOnfjzzz8TXP/uyc9if0S916RogYGBeHl52W+FCmkEhIjcxzffQLlyt5O23bqZI27/9z8lbUVEMrOzB2F+czi66Xbf472h2yYlbUVSkBK3IiIiiXTs2DGeeuopANzc3Lhx4wY2m42BAwcyZ86cJO3L1dWVEiVKUL16dQIDA6lcuTIffPBBvOv6+voSHBzs0BcSEoKLiwu5c+dO8DGGDx/O1atX7bdTp04lKUYRyUSCgswRtc88A2fPQsmSsGULfPwx5MxpdXQiImKVa8Gwsg/MqQsnfzBr2sZehe3sonrnIiksyaUSREREMqtcuXJx7do1AAoUKMDvv/9OxYoVuXLlCjdv3nyofRuG4VDW4E4BAQGsXr3aoW/Dhg1Ur179nvVt3dzccHNze6i4RCSDi4mBefNgyBCzRIKLi3l/5Ejw8LA6OhERsUpkGOyeDjumQOQNs69iO2g4SldgiKQiJW5FREQSqVatWmzcuJGKFSvSrl07Xn31Vb7//ns2btxIgwYNEr2fESNG0KxZMwoVKsS1a9f44osv2Lp1K+vWrQPMkbJnzpxh4cKFAPTq1Yvp06czaNAgevTowe7du5k3bx5LlixJkecpIpnEkSPQsyds3262q1c3R9hWrmxtXCIiYq2jG2HNILj638TzBar/V8e2hrVxiWRCStyKiIjcx8GDB6lSpQrTp08nLCwMMJOrWbJkYefOnbRp04aRI0cmen/nzp3jxRdfJCgoCC8vLypVqsS6deto1KgRAEFBQZw8edK+vr+/P2vXrmXgwIF89NFH5M+fn2nTptG2bdvkfaIikjlERsKkSTB2LISHQ9asMG4c9O8Pzs5WRyciIlaLCjeTtjkKQMMxUKGtSiKIWMRmxM5ukoaFhobi5eXF1atXyZEjh9XhWO7uy2WTW8uWLVN0/yIiqe1hjyNOTk5UrVqV7t2707FjR7y8vFIgypSn46mI8PPP0L07/Pab2W7SBGbNgqJFLQ1L0oe0ehyZMWMGkyZNIigoiPLlyzN16lRq1aqV4Prh4eGMHTuWRYsWERwcTMGCBXnjjTfo2rVroh4vrb4OIg/sWjCcPwzF6pptw4ADi8yErWtWS0MTyYiSchzRTyYiIiL3sWvXLh555BFef/11/Pz8eOGFF9iyZYvVYYmIJN716zBgADz+uJm0zZMHFi2C775T0lbStaVLlzJgwADeeOMNDhw4QK1atWjWrJnDlSt3a9euHZs3b2bevHkcOXKEJUuWUKZMmVSMWgCCrt7ih2MXCLp6y+pQMq/IW7B9Mkx7BL7qDLcum/02GzzyopK2ImmASiWIiIjcR0BAAAEBAUybNo0vv/yS+fPn07BhQ4oWLUrXrl3p1KkTBQsWtDpMEZH4ffcd9OoFsYmsF1+EKVPM5K1IOjdlyhS6detG9+7dAZg6dSrr169n5syZBAYGxll/3bp1bNu2jX/++YdcuXIBUFQ/XqS6pXtOMnz5b8QY4GSDwDYVaV+jsNVhZR6GAX+sgI2jbtex9SkHNy+BR05rYxMRBxpxKyIikkgeHh506tSJrVu38tdff9GhQwdmz56Nv78/zZs3tzo8ERFHISHw/PPQvLmZtC1aFNavh4ULlbSVDCEiIoJ9+/bRuHFjh/7GjRvzww8/xLvNqlWrqF69OhMnTqRAgQKUKlWKwYMHc+tWwqM+w8PDCQ0NdbjJgwu6esuetAWIMWDE8t818ja1nNkPnzSFr7vcrmPbdh502wi5i1sdnYjcRSNuRUREHkDx4sV5/fXXKVSoECNGjGD9+vVWhyQiYjIMMzk7aBBcumROKDNwIIwZA9myWR2dSLK5cOEC0dHR+Pj4OPT7+PgQHBwc7zb//PMPO3fuxN3dnRUrVnDhwgV69+7NpUuX+OSTT+LdJjAwkDFjxiR7/JnV8Qs37EnbWNGGwYkLN/Hz8rAmqMzi6hn4uCEY0ZAlK9QcAE/0U0kEkTRMiVsREZEk2rZtG5988gnLli3D2dmZdu3a0a1bN6vDEhGBf/6Bl1+GTZvMdpUqMHcuVK9uaVgiKclmszm0DcOI0xcrJiYGm83G559/bp9sdMqUKTz77LN89NFHeHjETRwOHz6cQYMG2duhoaEUKlQoGZ9B5uKfJxtONhySt842G0XzKHmYImJizB/wALwKQNUXICoMGowy2yKSpqlUgoiISCKcOnWKt99+m+LFi1OvXj2OHTvGhx9+yNmzZ5k7dy6PP/641SGKSGYWFQWTJ0OFCmbS1t0d3n0Xfv5ZSVvJsPLkyYOzs3Oc0bUhISFxRuHG8vPzo0CBAvakLUDZsmUxDIPTp0/Hu42bmxs5cuRwuMmD8/PyILBNRZz/S64722yMb1NBo22Tm2HA78tgejW4cPR2f4up0GaOkrYi6YRG3IqIiNxHo0aN2LJlC3nz5uWll16ia9eulC5d2uqwRERMBw5A9+6wf7/ZrlcP5syBEiWsjUskhbm6ulKtWjU2btxI69at7f0bN26kVatW8W5Ts2ZNvvrqK65fv46npycAf/31F05OTppoNBW1r1GY2qXycuLCTYrmyaqkbXI7sw/WjYBTP5rtnVPhmY/M+04avyeSnihxKyIich8eHh4sW7aMFi1a4OzsbHU4IiKmmzfNurXvvQfR0ZAzp3m/c2dI4DJxkYxm0KBBvPjii1SvXp2AgADmzJnDyZMn6dWrF2CWOThz5gwLFy4EoGPHjrz99tt06dKFMWPGcOHCBYYMGULXrl3jLZMgKcfPy0MJ2+QWehY2j4VflpjtLFnhyYEQ0NfauETkgSlxKyIich+rVq2yOgQREUebN0PPnmZNW4D27eGDDyCBy8NFMqr27dtz8eJFxo4dS1BQEBUqVGDt2rUUKVIEgKCgIE6ePGlf39PTk40bN9KvXz+qV69O7ty5adeuHePGjbPqKYgkjx+mw5Z3IPKm2a7cARq8BTnyWxuXiDwUJW5FRERERNKLixdh8GBYsMBsFywIM2dCixaWhiVipd69e9O7d+94ly2I/b9yhzJlyrBx48YUjkoklcVEmknbQo9Bk0AoWM3qiEQkGShxKyIiIiKS1hkGLF0K/fvD+fNmKYQ+fWD8eMie3eroREQktZ3eB0Y0FHrUbD/eG3IVh7ItVS5HJANR4lZEREREJC07eRJeeQXWrjXb5cvD3LkQEGBtXCIikvpCz8KmMfDrF5C3LPTaCc4u4OIG5Z62OjoRSWZK3IqIiIiIpEXR0fDRRzBiBNy4Aa6u8OabMGyYeV9ERDKPiJuwezrsfP92Hdv8VSHyBjh7WRubiKQYJW5FRETuISkTkz39tEY5iEgy+f136N4dfvrJbD/5pDnKtkwZa+MSEZHUZRjw+zLYOApCT5t9hR6DpoFQQHVsRTI6JW5FRETu4ZlnnnFo22w2DMNwaMeKjo5OrbBEJKMKC4N33oF334WoKMiRAyZMgJ49wcnJ6uhERCS1/bMVlnUz73sVgkZjoHwb1bEVySR09iciInIPMTEx9tuGDRuoUqUK3333HVeuXOHq1ausXbuWRx55hHXr1lkdqoikd9u3Q5UqMG6cmbR95hn480/o1UtJWxGRzCQ68vb9YnWhZBOo9yb03QMV2ippK5KJaMStiIhIIg0YMIBZs2bx5JNP2vuaNGlC1qxZ6dmzJ4cOHbIwOhFJt65cMevWzpljtn19zdq2bdpYGpaIiKSy2Dq2+z+DXjvAw9tM0nZcqmStSCaln+5FREQS6dixY3h5xZ38wcvLixMnTqR+QCKS/i1fDuXK3U7a9uwJhw4paSsikpkYBvz2NUyvAVvegasn4Zclt5craSuSaSlxKyIikkg1atRgwIABBAUF2fuCg4N57bXXePTRRy2MTETSnbNnzeRs27YQFASlSsG2bTB7Nnh7Wx2diIikltN7YV4js45t6GnwKgzPzofHelkdmYikASqVICIikkiffPIJrVu3pkiRIhQuXBiAkydPUqpUKVauXGltcCKSPsTEmKNrhw2D0FBwcYHXX4c33gB3d6ujExGR1BITA9/0vj2yNks2qDUIAvpAFg9rYxORNEOJWxERkUQqUaIEv/76Kxs3buTw4cMYhkG5cuVo2LAhNl3CJiL3c/gw9OgBO3ea7cceg7lzoWJFa+MSEZHU5+QETv+lZKo8Dw3eguy+1sYkImmOErciIiJJYLPZaNy4MbVr18bNzU0JWxG5v4gImDABxo0z72fLBuPHQ58+4OxsdXQiIpIaYmLg96+hQDXIXdzsqz8SanSD/FWtjU1E0qxMl7hdvXp1iu6/ZcuWKbr/1JDSrxFkjNdJRDLfZ2pMTAzvvPMOs2bN4ty5c/z1118UK1aMkSNHUrRoUbp162Z1iCKS1uzebY6y/eMPs928OcyYAUWKWBuXiIiknlN7YN3rcGYvlG4OHf4rj5Ddx7yJiCRAk5OJiIgk0rhx41iwYAETJ07E1dXV3l+xYkU+/vhjCyMTkTTn2jXo3x9q1jSTtnnzwuLFsGaNkrYiIpnF1dOwrAfMa2gmbbNkg4LVzdG3IiKJkOlG3IqIiDyohQsXMmfOHBo0aECvXrdn+q1UqRKHDx+2MDIRSVPWrIHeveHUKbPduTNMngy5c1saloiIpJKIm/DDNNg5FaJuAbb/6tiOVB1bEUkSJW5FREQS6cyZM5QoUSJOf0xMDJGRkRZEJCJpyrlz8OqrsHSp2S5WDGbPhoYNrY1LRERS1775sDXQvF84AJoGqo6tiDwQlUoQERFJpPLly7Njx444/V999RVVq+pkXCTTMgyYPx/KljWTts7OMGQI/PabkrYiIplFxM3b96t3g6K14H8LoMt3StqKyAPTiFsREZFEGjVqFC+++CJnzpwhJiaG5cuXc+TIERYuXMiaNWusDk9ErPD33/Dyy/D992a7alX4+GN45BFr4xIRkdRx9TRsGg0hh6DnNnB2gSzu0FnnhiLy8DTiVkREJJFatmzJ0qVLWbt2LTabjbfeeotDhw6xevVqGjVqZHV4IpKaIiNhwgSoWNFM2np4wKRJ8PPPStqKiGQGETdgy3j4sDr89hWc+wNO/mB1VCKSwWjErYiISCJERUXxzjvv0LVrV7Zt22Z1OCJipX37oHt3OHjQbDdsaNayLVbM0rBERCQVxMSYidpNo+HaWbOv8BP/1bGtYmVkIpIBacStiIhIIri4uDBp0iSio6OtDkVErHLjBgweDI8+aiZtc+WCBQtgwwYlbUVEMoObl2BeQ1jR00zaeheGdguhy1olbUUkRShxKyIikkgNGzZk69atVochIlbYsMEsi/Dee+Zoqw4d4NAh6NQJbDaroxMRkdTgkROc3cDVExqMgj57oFwrHQdEJMWoVIKIiEgiNWvWjOHDh/P7779TrVo1smXL5rD86aeftigyEUkxFy7AoEHw2Wdmu3BhmDkTmje3Ni4REUl5ETfgxxnwaE9w9zITtK2mm4nb7D5WRycimYAStyIiIon0yiuvADBlypQ4y2w2m8ooiGQkhgGLF8OAAWby1maD/v1h3Djw9LQ6OhERSUkxMfDbl//VsQ2CW1egyTvmstzFrYxMRDIZJW5FREQSKSYmxuoQRCQ1nDgBr7wC69aZ7YoVYe5ceOwxS8MSEZFUcPInWPc6nN1vtr2LQOHHrY1JRDItJW5FREQeQFhYGO7u7laHISLJKToapk2DN9+EmzfBzQ3eeguGDIEsWayOTkREUtKVU+YI29+/NtuunlB7MDz2CmTROZ+IWEOTk4mIiCRSdHQ0b7/9NgUKFMDT05N//vkHgJEjRzJv3jyLoxORh/LLLxAQYNazvXkT6tSBX3+FESOUtBURyQy2T/wvaWuDR16CfvvhyYFK2oqIpZS4FRERSaR33nmHBQsWMHHiRFxdXe39FStW5OOPP7YwMhF5YLdumcnZ6tVhzx7w8oI5c+D776FUKaujExGRlBITA2FXb7frjoCSjeHlbfD0h5p8TETSBCVuRUREEmnhwoXMmTOH559/HmdnZ3t/pUqVOHz4sIWRicgD2boVKleGwECIioK2beHQIejRA5x0miwikmGd/Ak+bgAre9/uy+EHz38FfpWti0tE5C6qcSsiIpJIZ86coUSJEnH6Y2JiiIyMtCAiEXkgly/D0KEQO1I+f3746CN45hlLwxIRkRR25eR/dWyXme0LRyH0LOTIb2lYIiIJUeJWREQkkcqXL8+OHTsoUqSIQ/9XX31F1apVLYpKRBLNMGDZMujbF86dM/teecUccevlZW1sIiKScsKvw66p8MOHEBWGWcf2Rag/EjzzWR2diEiClLgVERFJpFGjRvHiiy9y5swZYmJiWL58OUeOHGHhwoWsWbMm0fsJDAxk+fLlHD58GA8PD5544gkmTJhA6dKlE9xm69at1KtXL07/oUOHKFOmzAM9H5FM5fRp6NMHVq0y22XKwNy58OST1sYlIiIpK/g3WPQsXA8220VrQZPx4FfJ2rhERBJBxbtEREQSqWXLlixdupS1a9dis9l46623OHToEKtXr6ZRo0aJ3s+2bdvo06cPP/74Ixs3biQqKorGjRtz48aN+2575MgRgoKC7LeSJUs+zFMSyfhiYmDGDChXzkzaZskCb70FBw8qaSsikhnkLgHOWSCnP7T/HDqtVtJWRNKNJI+43b59O5MmTWLfvn0EBQWxYsUKnrlPPbBt27YxaNAg/vjjD/Lnz8/QoUPp1avXg8YsIiJimSZNmtCkSZOH2se6desc2vPnzydfvnzs27eP2rVr33PbfPny4e3t/VCPL5Jp/PmnOdHYDz+Y7YAAc5Rt+fLWxiUiIinnykn4eS40HA1OzpDFA15YBjmLgoub1dGJiCRJkkfc3rhxg8qVKzN9+vRErX/8+HGaN29OrVq1OHDgACNGjKB///4sW7YsycGKiIhkRFevXgUgV65c9123atWq+Pn50aBBA7Zs2XLPdcPDwwkNDXW4iWQK4eEwejRUqWImbT09Yfp02LlTSVsRkYwq/Dpsfhs+rA4/TIMDn91elre0krYiki4lecRts2bNaNasWaLXnzVrFoULF2bq1KkAlC1blr179zJ58mTatm2b1IcXERFJVTlz5sRmsyVq3UuXLiV5/4ZhMGjQIJ588kkqVKiQ4Hp+fn7MmTOHatWqER4ezmeffUaDBg3YunVrgqN0AwMDGTNmTJJjEknXdu0yR9keOmS2W7QwSyUUKmRtXCIikjIMAw4uhs1j4Pp/E08WrQUFqlsbl4hIMkjxycl2795N48aNHfqaNGnCvHnziIyMJEuWLHG2CQ8PJzw83N7WCCEREbFK7A+PABcvXmTcuHE0adKEgIAAwDzOrV+/npEjRz7Q/vv27cuvv/7Kzp0777le6dKlHSYvCwgI4NSpU0yePDnBxO3w4cMZNGiQvR0aGkohJa8kowoNheHDzSQtQL588OGH8L//QSJ/fBERkXTo+7dhx3vm/Zz+0HgclHlKn/0ikiGkeOI2ODgYHx8fhz4fHx+ioqK4cOECfn5+cbbRCCEREUkrOnXqZL/ftm1bxo4dS9++fe19/fv3Z/r06WzatImBAwcmad/9+vVj1apVbN++nYIFCyY5tscff5xFixYluNzNzQ03N10WKJnAqlXQuzecOWO2u3aFSZMgEeVHREQkHTu2BXZMMe/XexNq9ldJBBHJUJJc4/ZB3H2JqWEY8fbHGj58OFevXrXfTp06leIxioiI3M/69etp2rRpnP4mTZqwadOmRO/HMAz69u3L8uXL+f777/H393+geA4cOBDvD6AimUZwsDmitlUrM2lbvDhs3gzz5ilpKyKSGWTxgBz5oVoXqDNESVsRyXBSfMStr68vwcHBDn0hISG4uLiQO3fueLfRCCEREUmLcufOzYoVKxgyZIhD/8qVKxM8psWnT58+LF68mG+++Ybs2bPbj5NeXl54eHgA5o+YZ86cYeHChYBZsqFo0aKUL1+eiIgIFi1axLJlyzTZp2ROhmEmZ4cMgStXwNnZvP/WW/Df/yEREckECj8OvXaaCVwRkQwoxRO3AQEBrF692qFvw4YNVK9ePd76tiIiImnVmDFj6NatG1u3brXXuP3xxx9Zt24dH3/8caL3M3PmTADq1q3r0D9//nw6d+4MQFBQECdPnrQvi4iIYPDgwZw5cwYPDw/Kly/Pt99+S/PmzR/uSYmkN0ePQs+esHWr2a5eHebOhSpVrIxKRERSU1gouOcw72fVFRYiknElOXF7/fp1/v77b3v7+PHjHDx4kFy5clG4cOE4I4R69erF9OnTGTRoED169GD37t3MmzePJUuWJN+zEBERSQWdO3embNmyTJs2jeXLl2MYBuXKlWPXrl089thjid5PbMmge1mwYIFDe+jQoQwdOjSpIYtkHJGRMHkyjBkD4eGQNSuMGwf9+oFLio9FEBGRtOLMPvisNTR+B6q+oEnIRCRDS/JZ7t69e6lXr569HTtbdadOnViwYEGcEUL+/v6sXbuWgQMH8tFHH5E/f36mTZtG27ZtkyF8ERGR1BEZGUnPnj0ZOXIkn3/+udXhiGQuP/8MPXrAr7+a7SZNYOZMeMD60CIikk6FhcLXXSHsKhzdYCZuRUQysCQnbuvWrXvPkUJ3jxACqFOnDvv370/qQ4mIiKQZWbJkYcWKFYwcOdLqUEQyj+vXYeRImDYNYmIgd26YOhWef14jrEREMhvDgDUD4fIJ8CoET0/TsUBEMjwnqwMQERFJL1q3bs3KlSutDkMkc1i3DipUMBO1MTHwwgtw6JD5r76oi4hkPgc/h9+/BpsztJ0HHjmtjkhEJMWpIJiIiEgilShRgrfffpsffviBatWqkS1bNofl/fv3tygykQzk/HkYOBBiS5IUKQKzZ5vlEUREJHM6/xesHWLerzcCCid+bgERkfRMiVsREZFE+vjjj/H29mbfvn3s27fPYZnNZlPiVuRhGAYsWmQmbS9eBCcnePVVGDsWPD2tjk5ERKwSGWbWtY28Cf614cmBVkckIpJqlLgVERFJpOPHj1sdgkjGdPw4vPwybNxotitXhrlzoUYNa+MSERHrOblAqSZw/Ry0ngNOzlZHJCKSalTjVkREJIkuXLjAxYsXrQ5DJP2LioL33jNr2W7cCO7uEBgIe/YoaSsiIiZnF2gwEvrthRx+VkcjIpKqlLgVERFJhCtXrtCnTx/y5MmDj48P+fLlI0+ePPTt25crV65YHZ5I+nPgADz+OAweDDdvQr168Ouv8PrrkCWL1dGJiIjVblyEqIjbbXcv62IREbGISiWIiIjcx6VLlwgICODMmTM8//zzlC1bFsMwOHToEAsWLGDz5s388MMP5Myp2Y1F7uvmTRgzxhxpGx0N3t7m/S5dwGazOjoREUkLYqLhy5cg4jr8bz7kKmZ1RCIillDiVkRE5D7Gjh2Lq6srx44dw8fHJ86yxo0bM3bsWN5//32LIhRJJzZvNmvZHjtmttu1gw8+AF9fa+MSEZG0Zftk+HcnuHqak1eKiGRSKpUgIiJyHytXrmTy5MlxkrYAvr6+TJw4kRUrVlgQmUg6cekSdO0KDRuaSduCBWHVKli6VElbEXloM2bMwN/fH3d3d6pVq8aOHTsStd2uXbtwcXGhSpUqKRugJM2JXbDtXfN+i/chd3Fr4xERsZAStyIiIvcRFBRE+fLlE1xeoUIFgoODUzEikXTCMMzkbNmyMH++WQqhTx/44w9o2dLq6EQkA1i6dCkDBgzgjTfe4MCBA9SqVYtmzZpx8uTJe2539epVXnrpJRo0aJBKkUqi3LwEy3uAEQOVO0KldlZHJCJiKSVuRURE7iNPnjycOHEiweXHjx8nd+7cqReQSHpw8qSZnH3uOQgJgXLlYOdOmD4dcuSwOjoRySCmTJlCt27d6N69O2XLlmXq1KkUKlSImTNn3nO7l19+mY4dOxIQEJBKkUqsoKu3+OHYBYKu3nJcYBjwTV8IPQO5S0DzSdYEKCKShihxKyIich9NmzbljTfeICIiIs6y8PBwRo4cSdOmTS2ITCQNio6GDz+E8uXh22/B1dWcjGz/fnjiCaujE5EMJCIign379tG4cWOH/saNG/PDDz8kuN38+fM5duwYo0aNSukQ5S5L95yk5rvf03HuT9R893uW7rljZPTeeXDkW3B2hWc/ATdP6wIVEUkjNDmZiIjIfYwZM4bq1atTsmRJ+vTpQ5kyZQD4888/mTFjBuHh4Xz22WcWRymSBvz+O/ToAT/+aLZr1oS5c81SCSIiyezChQtER0fHqUHv4+OTYAmjo0eP8vrrr7Njxw5cXBL3dTg8PJzw8HB7OzQ09MGDzsSCrt5i+PLfiPlvrrEYA0Ys/53apfLi5+UBxRtA/kfM8gh+la0NVkQkjVDiVkRE5D4KFizI7t276d27N8OHD8f4b3Zjm81Go0aNmD59OoUKFbI4ShELhYXB+PHw7rsQGQnZs8PEidCzJzjpAi8RSVk2m82hbRhGnD6A6OhoOnbsyJgxYyhVqlSi9x8YGMiYMWMeOs7M7viFG/akbaxow+DEhZtm4jaXP3TbAE5KU4iIxNInooiISCL4+/vz3XffcfnyZY4ePQpAiRIlyJUrl8WRiVhsxw5zlO2RI2a7VSv46CMoUMDauDK46GjzpQ8KAj8/qFULnJ2tjkokdeXJkwdnZ+c4o2tDQkLijMIFuHbtGnv37uXAgQP07dsXgJiYGAzDwMXFhQ0bNlC/fv042w0fPpxBgwbZ26GhofrB9gH458mGkw2H5K2zzUYJ2yngv7kCnLNYEpuISFqlIRAiIiJJkDNnTh599FEeffRRJW0lc7t6FXr1gtq1zaStry98/TWsWKGkbQpbvhyKFoV69aBjR/PfokXNfpHMxNXVlWrVqrFx40aH/o0bN/JEPDW1c+TIwW+//cbBgwftt169elG6dGkOHjzIY489Fu/juLm5kSNHDoebJJ2flweBbSri/N9oaGebjc8eP0XehXVh81hrgxMRSaM04lZEREREkmbFCujTxxzuCeaI2wkTIGdOa+PKBJYvh2efNSdfv9OZM2b/119DmzbWxCZihUGDBvHiiy9SvXp1AgICmDNnDidPnqRXr16AOVr2zJkzLFy4ECcnJypUqOCwfb58+XB3d4/TLymjfY3C1C6VlxMXblLc5Tz5Pu8JGGDTJQMiIvFR4lZEREREEufsWejb10zcApQsaU4+VqeOtXFlEtHR8OqrcZO2YPbZbDBggFmtQmUTJLNo3749Fy9eZOzYsQQFBVGhQgXWrl1LkSJFAAgKCuLkyZMWRyl38vPywM/TBT75H0Rcg8IBUGeY1WGJiKRJKpUgIiIiIvcWEwOzZ0PZsmbS1sUFRoyAX39V0jYV7dgBp08nvNww4NQpcz2RzKR3796cOHGC8PBw9u3bR+3ate3LFixYwNatWxPcdvTo0Rw8eDDlgxRHW96BM/vA3QvazAVnjSkTEYmPPh1FREREJGFHjpilEGKzgY8+ao6yrVTJ2rgyodjKFMm1noiIJf7ZBjunmvef/hC8NdGbiEhCNOJWREREROKKiIBx48wE7Y4dkC0bTJ0KP/ygpK1F/PySdz0RkVQXFgrL/6tr+0gnKNfK6ohERNI0JW5FRERExNGPP0K1ajBypJnAbdYM/vjDLLCq4qmWqVULChY0a9nGx2aDQoXM9URE0iT3HNBoDOR/BJoGWh2NiEiap8StiIiIiJiuXYP+/eGJJ+D33yFPHli8GL79Fv6b6Ees4+wMH3xg3r87eRvbnjpVuXURSeMqPwfdN4NrNqsjERFJ85S4FREREREzOVu+PHz4oTnL1UsvwaFD0KFDwkM8JdW1aQNffw0FCjj2Fyxo9rdpY01cIiL39M82uH7+dttJqQgRkcTQ5GQiIiIimdm5czBgAHzxhdn294fZs6FRI0vDkoS1aQOtWpmlh4OCzJq2tWpppK2IpFHnj8CSDuDuBV3WQi5/qyMSEUk3lLgVERERyYwMAxYsgNdeg8uXzdFPgwbB6NHmRGSSpjk7Q926VkchInIfYaHwxfMQeQMKVgOvQlZHJCKSrihxKyIiIpLZHDsGL78Mmzeb7apVYe5cc0IyERGR5GAY8E0fuHgUsueHtp+As1IQIiJJoU9NERERkcwiKgqmTIFRoyAsDNzdYexYGDgQXFL+tDA6Wpf3i4hkGrunw6FV4JQF2i0Ez7xWRyQiku4ocSsiIiKSAtJcknLfPujeHQ4eNNsNGpi1bIsXT5WHX74cXn0VTp++3VewIHzwgSbUEhHJcI7vgI2jzPvN3oVCNayNR0QkndJUjiIiIiLJbPlyKFoU6tWDjh3Nf4sWNftT3c2bMGQIPPqombTNmRPmz4eNG1M1afvss45JW4AzZ8x+S14XERFJGYYBW8aDEQ2VO0D1blZHJCKSbilxKyIiIpKM0lSScuNGqFABJk+GmBh47jk4dAg6dwabLVVCiI42R9oaRtxlsX0DBpjriYhIBmCzQccv4Il+8NSUVDveiIhkRErcioiIiCSTNJOkvHgROnWCxo3h+HEoVAjWrIElS8DHJ4Uf3NGOHXGT2HcyDDh1ylxPREQyCHcvaDwOXLNaHYmISLqmxK2IiIhIMrE8SWkYsHgxlCkDCxeao5z694c//oCnnkqhB723oKDkXU9ERNKo376GH2fF/+uliIg8EE1OJiIiIpJMLE1S/vsv9OoF69aZ7QoVYO5cePzxFHiwxPPzS971REQkDTr3B3zTF6JugWdeqNDW6ohERDIEjbgVERERSSaWJCmjo2HqVChf3kzaurrC22/Dvn2WJ20BatWCggUTLnFos5mVHGrVSt24REQkmYRdhaUvmEnb4vWh3DNWRyQikmFoxG16YBhw5Yp57eXp0xTesAG3K1dwvnULlztuTlFRtzex2cBmI9rVlaisWYny8DD/zZqV8Bw5CMudm7BcuQjLlYvorKo7JCIikhxik5RnzsR/pajNZi5PtiTlr79C9+6wZ4/Zrl0b5syB0qWT6QEenrMzfPCBOTGbzeb4usQmc6dONdcTEZF0JiYGVrwCl/4Br0LQ5mNw0ge6iEhyUeI2LTEMcwKR3383a9HF3v76C27etK9WOZkfNtLDg5s+PtzIn58bBQpwPX9+buTPz7UiRYhSUldERCTRUi1JeeuWOap20iSIigIvL5g40UziOqW9C6ratIGvvzYnbruzBnDBgubr0aaNZaGJiMjD2PU+HPkWnF2h3ULIltvqiEREMhQlbq0UHg67d8OuXea/u3fD/9u787io6v2P46+RTRTEDQEVkXJfU+wqlqmZmJrZ1V9xW1xyKXMpM69l3tJWrGvltdI2y2vezEorvZpXKlFLKxdcUlRKFFOI3EAxWc/vj2+MIYuDAjPI+/l4nAdzzpyZ+czXL+d4PnzP53viRNH716kDDRvyq4cHGTVrnh9JW7Uq2d7e5Hp4mP0sCxtAbi5VsrPxSE/H/exZ3H//HY/0dDxTU6l64gRVjx/H4/ff8fj9d/wOHsTv4MECH5keGEhaaCipoaGkXXUVJ5s1I7NmzTJoDBERkStDmScpY2LgvvsgPv78B776KtSvf5lvXLYGDYKBA83EbElJplxEt24aaSsiUmH9vBa+ftY87vdPaNDRufGIiFyBlLgtb3v3wqpVEB0N69fnG0kLmLp0LVuaOnVt2pifLVuaqz1vbwB+WLGi1MJxO3sW7xMnqJaUhM/Ro1T/Y/E5cgTvY8eonpxM9eRkgjZtsr/mTFAQJ1u04GTLlpxo0YLTwcG66hIRKYGoqCiWLVvG3r178fb2pmvXrrzwwgs0v8jt7evWrWPSpEns3r2b+vXrM2XKFMaMGVNOUUtJlEmS8uRJmDIF3nnHrAcFweuvw1//Wioxlwc3N+jRw9lRiIhIqThxALBBh3ug4zBnRyMickVS4rasWRZs2wbLlpll7978zwcEQPfu0LUrhIfDNdeY5G05yalWjTPVqnGmYUNSLnjO4/RpaiQk4JeQQI0DB/D7+Wd8Dx/GJykJn6QkgteuBSCrWjWOt27NsWuu4bf27TkTHFz0DCQiIsK6desYN24c1157LdnZ2UybNo2IiAj27NlD9erVC31NQkIC/fr1Y/To0SxatIhvv/2WsWPH4u/vz+DBmrnZFZVaktKyYOlSGD8efv3VbLv/fpg5E3QXjIiIOMu1IyGwHQS20fWfiEgZUeK2rPzyC7z/PixYYGrU5vHwgJ49ISLCLG1c9ySX5evL8XbtON6unX2b+5kz1Nq3j9p791Jr715q7duHx9mzBG7eTOAfE6Ocq12b39q351j79qR06EBmrVrO+goiIi5p9erV+dbfe+896tWrx9atW7nhhhsKfc0bb7xBo0aNmD17NgAtW7Zky5YtzJo1S4nbK9mRIzBuHHz+uVlv3hzefrsUZzcTEREpoewMcPcyj4OvdW4sIiJXOCVuS1GVrCxYvNgka6Ojz89IUq0a9OtnbmXs399MIFJBZfv48FtYGL+FhQFgy8mhRkICdXfswH/HDmrv2UPVEycIXruW4LVrsWw2TjVtyq9/+QvJf/kLp0NCXDZRLSLiLKmpqQDUrl27yH02bdpEREREvm19+vRh/vz5ZGVl4ZFX51yuDLm58Oab8OijcPq0+cPvY4/B449D1arOjk5ERCqr7R/AN69A5CLwL77Ek4iIXD4lbkuBZ2oqIV98QeMvvjD15/J07w7Dh8PgweDr67T4ypLl5kZqkyakNmnCz4MHUyUzk1pxcfjv2IF/bCw1f/6ZWvv3U2v/flosWsTZevX49dprzUVn9+7lWhZCRMQVWZbFpEmTuP7662nTpk2R+yUnJxMQEJBvW0BAANnZ2Rw7doygoKACr8nIyCAjI8O+npaWVnqBS9nZs8dMPvbtt2a9SxczyraY/iEiIlLmknbCfx+G7HMQtxz8/+7siERErnhK3F4G30OHCF2+nIYxMbhlZZmNDRrAyJEwdChcfbVzA3SCXE9Pjrdvz/H27dk7dChex48TsHkzgT/8QN2dO6mWkkLoypWwcqUZeTxwINx+O/TuDV5ezg5fRKTcjR8/np07d/LNN99cdF/bBXcsWH/c2XHh9jxRUVE89dRTlx+klI+MDFO39rnnICsLfHwgKgoeeECTgIqIiHP9fhKW3GOStk0j4PpHnB2RiEiloMTtJahx4ADNPvyQoO++s2872bQpB269lbCoKHM7owCQUacOiTffTOLNN+N27hx1d+wg4IcfCNm500ywsnChWfz84LbbzidxNRJXRCqBCRMmsHz5ctavX0/Dhg2L3TcwMJDk5OR821JSUnB3d6dOnTqFvmbq1KlMmjTJvp6WlkZwcPDlBy6lb+NGGDUK4uLM+i23wNy5oH8vERFxttxcWHYfnDoEtRrDoLegShVnRyUiUikocVsCNRISaLZ4sT1ha9lsJIWHc+DWWznZsiXYbIQpaVuknKpV+bVzZ37t3JmQ/v3NLaAffwyffAJJSfDvf5ulZk2TxL3rLrjxRo0yEpErjmVZTJgwgU8//ZSYmBhCQ0Mv+prw8HBWrFiRb9uaNWvo1KlTkfVtvby88NLdDK4tLQ2mToV580xt/Hr1YM4cuOMO1YQXERHXsGEWxK8B96pwx/vgrcmnRUTKixK3Dqh+5Agt3n+f+hs3AiZhe6RbN+IjIzmjkTCXpkoVMyN2t27wyiv5k7jJyWaCtwULICjIJHDvuQfat9dFrIhcEcaNG8cHH3zA559/jq+vr30krZ+fH97e3oAZLXvkyBEWLlwIwJgxY3jttdeYNGkSo0ePZtOmTcyfP5/Fixc77XvIZVq+HMaOhSNHzPq998KsWVDMJHUiIiLl6qevYO3z5vEtr0BQO+fGIyJSyShxWwyP06dp9uGHNF61iio5OVg2G0evv579f/ubEralyc0NbrjBLLNnmyTu4sXw0UdmJO5LL5mldWuTwL37bt06KiIV2rx58wDo0aNHvu3vvfcew4cPByApKYnExET7c6GhoaxatYqHH36Y119/nfr16zNnzhwGDx5cXmFLaUlOhgkTzB8rwdTEf/NN6NXLuXGJiIhcKKA1NAqHei3gmrucHY2ISKWjxG0hbFlZNF61imZLluB55gwAv3bqxJ7hwznTqJGTo7vC/TmJ+69/wRdfwKJFsGIF7N5tbid9/HHo3h2GDDE1cX19nR21iEiJ5E0qVpwFCxYU2Na9e3e2bdtWBhFJubAsmD8f/v53OHXKnPMmT4Ynn4Rq1ZwdnYiISEG+gTBsOVi5zo5ERKRSuqSK4nPnziU0NJSqVasSFhbGhg0bitw3JiYGm81WYNm7d+8lB12W6sbG0mPCBNrMn4/nmTOkhYSw6amn+OHJJ5W0LW+enjBwoCmhkJwM77wDPXqYC9+YGBg50pRSGDECNmww20VERFxRfLyp2z56tEnahoXB5s0wc6aStiIi4np+2XL+sZsHuKtmvoiIM5Q4cbtkyRImTpzItGnTiI2NpVu3bvTt2zff7ZyF2bdvH0lJSfaladOmlxx0WfA6eZIOs2YRPn06PkePcq5mTXaMH8+62bM51qGDs8OTmjVNonbtWjh0CJ5/Hpo1g/R0eO89M0K3eXOIijpfK1BERMTZsrLMualtW/NHR29vU8f2u+9A/78QERFXtPXf8E4v+N80Z0ciIlLplThx+/LLLzNy5EhGjRpFy5YtmT17NsHBwfZ6fUWpV68egYGB9sXNze2Sgy5VubmErFpFz7Fjabh+PVaVKhwYMIC1b7xBYkSEuY1RXEujRqZkwt698M03ZsStj48ZzfT44+b5/v1N7cCMDGdHKyIildXmzdCpkzk3ZWRA797w44/wyCPgrmpVIiLigo5sg1WTzeNqmixTRMTZSpS4zczMZOvWrUREROTbHhERwcaNG4t9bYcOHQgKCqJXr16sXbu22H0zMjJIS0vLt5QFn19+4bpHH6XdG2/gkZ7OqSZN2DBrFrtHjyZbty26PpsNrrvO1AtMSjIjb7t1g9xcWLXK1L9t0AAmToQdO5wdrYiIVBZnzsDDD0OXLrBzJ9SuDQsXwv/+B1dd5ezoRERECpd+HD4aCjmZ0LwfXPewsyMSEan0SpS4PXbsGDk5OQQEBOTbHhAQQHJycqGvCQoK4q233mLp0qUsW7aM5s2b06tXL9avX1/k50RFReHn52dfgoODSxLmxeXkcPWyZdzw0EPU3rePLG9vdt13Hxv++U9SmzQp3c+S8uHjA8OHw/r1sG+fGZFbvz4cP24mObvmGlNPcN48U1tQRESkLKxeDW3awOzZ5g+Jd90FcXFmQk2bzdnRiYiIFC43B5aNgtTDUPsquG0eVLmkKXFERKQUXdKR2HbBhYdlWQW25WnevDmjR4+mY8eOhIeHM3fuXPr378+sWbOKfP+pU6eSmppqXw4fPnwpYRaq+i+/cN3UqbRasAC3rCxSOnYk5vXXOXjLLSqLcKVo1szUwD10CFauhMGDwcMDtm2DsWPNhGZDh8K6dZrQTERESsdvv8E990Dfvub8ExJi7v74z3+gXj1nRyciIlK8mCj4+Wtw94bIReBd09kRiYgIJUzc1q1bFzc3twKja1NSUgqMwi1Oly5diI+PL/J5Ly8vatSokW+5bDk58NJLdJ84kdp795JVrRrbJ0zg++nTOVe37uW/v7ged3fo18/Uuj16FF55BVq3hnPn4P33oUcPM6HZCy9AESPGRUREimVZ5pzSsqVJ0lapYkr0/PijSeKKiIi4ut/2w/o/BlbdOgcCWjs3HhERsStR4tbT05OwsDCio6PzbY+OjqZr164Ov09sbCxBQUEl+ejLd/QoTJ+OW2YmKR06EPPqqxzu3Vu3LVYWdeuaC+ldu8xM3qNGnZ/Q7LHHoGFDuO02WLECsrOdHa2IiFQECQnQp4+5i+P4cWjbFjZtMn8o9PFxdnQiIiKO8W8GdyyE6yZCuzucHY2IiPxJiac0njRpEkOGDKFTp06Eh4fz1ltvkZiYyJgxYwBT5uDIkSMsXLgQgNmzZ9O4cWNat25NZmYmixYtYunSpSxdurR0v8nFBAfDnDnsiI0lUQnbystmg86dzfLKK/DRR/DOO+ZC+/PPzRIUZOrljhgBqnksIiIXys6GOXPgiSfg7Fnw8oLp02HyZFOaR0REpKJpdatZRETEpZQ4cRsZGcnx48d5+umnSUpKok2bNqxatYqQkBAAkpKSSExMtO+fmZnJ5MmTOXLkCN7e3rRu3ZqVK1fSr1+/0vsWjhoxgsQVK8r/c8U1+fiY5OyIEbBnD8yfb2b9TkqCqCiz9OhhRucOGgTe3s6OWEREnG37dnNe2LrVrPfoAW++aeqri4iIVBSWBRtegvZ3gl8DZ0cjIiJFsFmW68/OlJaWhp+fH6mpqZdd73ZFGSduBwwYUKbvD2X/HcpDebTTJcnMhOXLTRL3f/87P3lZzZpw990wciR06ODUEEVcSUU5ppbmeaQiUztcht9/h6eeglmzTN38mjXN4xEjdBePiFQaOo8YV0Q7/PA2rJoMPoEwYSt4qcSPiEh5Kcl5pEQ1bkWueJ6e8H//B198AQcPmov0kBA4dQpefx06doSwMJg712wTEZEr39dfm/q1L7xgkra33w5xceaPeUraiohIRXN4M6yeah53Ha+krYiIC1PiVqQojRrBk0/CgQOwZg3ccYepXbhtG4wbZ2rhDhkC69adH5krIiJXjhMnzIjaXr3g55+hQQP47DNTHz0w0NnRiYiIlNyZ3+CjoZCbBa0GQvh4Z0ckIiLFUOJW5GKqVIHevWHJEjh61Exq1ro1nDsHixaZ+obNm8PMmaY+roiIVGyWZY75LVvCe++ZbWPHmnroAwc6NzYREZFLlZMNn9wLp49C3WYw8HXdOSIi4uKUuBUpibp1YeJE2LULvvvOTFDj4wPx8TB1KgQHm4v6FSvMrOMiIlKxJCbCgAHwt79BSopJ3n7zjSmXU1HrGIqIiAB8/Qwc3ACePhC5CLx8nR2RiIhchBK3IpfCZoPOneHtt80o2/nzoWtXU/tw+XK49VZTauHxx+Gnn5wdrYiIXExODrz6qrmjYuVKUxpnxgyIjYXrrnN2dCIiIpcn63f46UvzeOBr4N/cufGIiIhDlLgVuVw+PqYG4rffmttoH3nEjMxNSoKoKGjaFHr2NGUVfv/d2dGKiMiFfvwRrr8eHnwQzpwxf4jbvh2mTwcvL2dHJyIicvk8vGFkNAyeD63/6uxoRETEQUrcipSmli1h1iw4cgQ++QRuvtmMzo2JMROZBQWZic1iY50dqYiIZGSYSSg7djTlb3x9TUmEDRugVStnRyciInL5/jyJsmc1aPt/zotFRERKTIlbkbLg6QmDB8MXX8DBg/DUUxASAqmpMHeuSRJ07Ggenzrl7GhFRCqfb76Ba66BZ56BrCxT4mbPHjMJWRX990hERK4AlgXLRsP6WZCb6+xoRETkEujKRKSsNWpkRnQdOABr1kBkpEnsxsaa0bdBQWY0bkyM/kMlIlLWUlPhgQegWzfYuxcCAuDjj+Gzz6BhQ2dHJyIiUnq+fwN2fQwxUfDbXmdHIyIil0CJW5HyUqUK9O4NH34IR4/C7NnQpg2cO2fq3/bsCVddBdOmmWSCiIiUrk8/NSUQ3njDrI8cCXFx8H//Z8raiIiIXCkObYI1/zCPI56DAJUAEhGpiJS4FXGGOnXgoYdg505TV3H0aFNb8dAheP55Uyu3UyeT3E1Odna0IiIV29GjpnzNoEHmcdOmsHYtvPMO1Krl7OhERERK1+lk+HgY5GZDm/+Dzvc7OyIREblEStyKOJPNBp07w1tvmQTthx/CLbeAuzts3QoPPwwNGkDfvvCf/0B6urMjFpFKLifHVHZZvNj8zMlxdkTFyM01x9dWrWDZMnNsnToVduyAHj2cHZ2IiEjpy8mCj++FM7+Cf0u4dY7uKhERqcCUuBVxFdWqmfq3K1aYEWGvvQZdupjEw+rVcM89phbjkCGmVm52trMjFpFKZtkyaNzYVHa56y7zs3Fjs93l7NtnkrP332/q2l57LWzZYu5q8PZ2dnQiIlKK5s6dS2hoKFWrViUsLIwNGzYUue+yZcvo3bs3/v7+1KhRg/DwcP73v/+VY7RlLHo6JG4ET1+IXASe1Z0dkYiIXAYlbkVckb+/mbhs0ybYvx+mT4errzYjbhctgj59IDjYlFvYuFGTmolImVu2zJSC/eWX/NuPHDHbXSZ5m5kJzz4L7drBhg3mj2KvvGKOp+3bOzs6EREpZUuWLGHixIlMmzaN2NhYunXrRt++fUlMTCx0//Xr19O7d29WrVrF1q1b6dmzJwMGDCA2NracIy8jdZuAmxf8dZ55LCIiFZrNsizL2UFcTFpaGn5+fqSmplKjRo3Leq8VK1aUUlSFGzBgQJm+P5T9dygP5dFOVxzLgu+/N4nbDz+E48fPPxccDLffbkbsXnutboeSclNRjqmleR6pyC61HXJyzMjaC5O2eWw2aNgQEhLAza10Yr0k338Po0bBjz+a9ZtvhnnzTPAiInLZXPF82rlzZzp27Mi8efPs21q2bMltt91GVFSUQ+/RunVrIiMjefLJJx3av7TaISn1dxKOpRNatzpBfqV4N0jaUahRv/TeT0RESlVJziMacStSUdhspnTCa6+ZUgorVpjyCb6+cPgwvPyyqZd71VXw6KOwbZtJ9oqIXKYNG4pO2oI51Bw+bPZzitOnzR0I4eEmaVu3rqkLvmqVkrYiIlewzMxMtm7dSkRERL7tERERbNy40aH3yM3N5fTp09SuXbssQizSks2JXDfza+56+3uum/k1SzYXPkLYIefS4OyJ8+tK2oqIXDGUuBWpiDw9zSRm778PKSnw6afwt79B9epw8CC8+CKEhUGzZjBtGuzcqSSuiFyypKTS3a9UrVwJrVvDnDnmODdkCMTFmSK8uvtAROSKduzYMXJycggICMi3PSAggOTkZIfe46WXXiI9PZ077rijyH0yMjJIS0vLt1yOpNTfmbpsF7l//Pc814LHl/1IUurvJX8zy4LPx8JbPSBp52XFJSIirkeJW5GKrmpVuO02M8V7Sgp8/LEpOOntDT/9ZCbiad/eJHEffRS++041cUWkRIKCSne/UpGSAnfeaf6IdfiwGVn7v//BwoVmxK2IiFQatgv+UGdZVoFthVm8eDEzZsxgyZIl1KtXr8j9oqKi8PPzsy/BwcGXFW/CsXR70jZPjmVx8NjZkr/ZxlchboUpj5CdcVlxiYiI61HiVuRKUq2aSdp+/LFJaixebJK6Xl4mifvii+ZW4oYNYexYiI6GrCxnRy0iLq5bN3PYKOoa2GYzpba7dSuHYCwLFiyAli1Nve8qVeCRR0yJhAtulRURkStb3bp1cXNzKzC6NiUlpcAo3AstWbKEkSNH8tFHH3HTTTcVu+/UqVNJTU21L4cPH76suEPrVqfKBedUN5uNxnWrleyNEjbAl9PN474zIfjay4pLRERcjxK3IlcqHx9TPuHTT+G332DJErPu62vuZ543zyQ56tUztxYvWwbp6c6OWkRckJsb/Otf5vGFydu89dmzy2Fisp9/ht694d574cQJuOYaMyHZrFmmVIyIiFQqnp6ehIWFER0dnW97dHQ0Xbt2LfJ1ixcvZvjw4XzwwQf079//op/j5eVFjRo18i2XI8jPm6hBbXH74yTqZrPx/KA2JZugLO0ofHIvWLnQ/k7oNPKyYhIREdfk7uwARKQc+PrCHXeYJSMDvv7aJHQ//9yMzF20yCze3iaZe+ut0K8fBAY6O3IRcRGDBsEnn5g5wP48UVnDhiZpO2hQGX54draZgHHGDPj9d1MiZsYMmDQJPDzK8INFRMTVTZo0iSFDhtCpUyfCw8N56623SExMZMyYMYAZLXvkyBEWLlwImKTt0KFD+de//kWXLl3so3W9vb3x8/Mrt7gjr23EDc38OXjsLI3rVitZ0jY7Ez4aBum/QUAb6P+y6rqLiFyhlLgVqWy8vKBvX7PMmwebNpkk7qefQkKCSeZ+/rnZNywM+vc3NSTDwswtySJSaQ0aBAMHwoYNZuB+UJApj1CmI223bYNRoyA21qzfeCO8+SY0aVKGHyoiIhVFZGQkx48f5+mnnyYpKYk2bdqwatUqQkJCAEhKSiIxMdG+/5tvvkl2djbjxo1j3Lhx9u3Dhg1jwYIF5Rp7kJ93yRK2eTbMgl9+AC8/iHwfPEtYYkFERCoMJW5FKjM3N7j+erPMmgU7d5oE7sqVsGULbN1qlqefhoAAk+zt39/cqlyOIxJExHW4uUGPHuXwQWfPwvTpZqRtbi7UqgUvvQTDh2tUkYiI5DN27FjGjh1b6HMXJmNjYmLKPqCy1nkMHNkG146C2lc5OxoRESlDStyKiGGzQfv2ZpkxA5KT4YsvTBJ3zRr49VczIdCCBeDubpK9/fvDzTdD69ZKpIhI6fnyS7j/fjhwwKxHRpoiuxeZaEZERKRSqFYb7v5Y//8WEakEdN+ziBQuMNBMAPTJJ3DsGHz1lakn2by5qTcZEwN//zu0bQsNGsDQoaZO7gWz+oqIOOz4cTOitndvk7Rt2BBWrIAPP1TSVkREKrdzqbDz4/PrStqKiFQKStyKyMV5epq6ki+9BHv3Qny8Gf0WEWEmCUpKgvffhyFDTNHLdu3gkUdg9Wpzu7OISHEsCz74AFq2hH//21yMTpgAe/aYGtsiIiKVWW4ufPoALBsFXz3j7GhERKQcqVSCiJRckybw4INmOXcOvv0WoqPNsm0b7NpllpdfNknf664zI+huvBE6dtQs8CJy3qFD8MADpjQLmNIrb78N4eHOjUtERMRVfPsK7FsJbp7Qor+zoxERkXKkxK2IXJ6qVaFXL7PMnHm+rEJeIjcxEdauNQtA9eomkdujB3TvDp06meSuiFQuOTnw2mswbRqkp5vjwD/+AY8+qmOCiIhInp/XwtfPmsf9ZkGDjs6NR0REypUStyJSuurWNRMJRUaa25/37zcJ3C+/hPXr4eRJM9nZmjVmf29v6Nr1fCL3L38BLy+nfgURKWM7d8Lo0fDDD2b9+uvNKNsWLZwbl4iIiCs5dRiWjgQrFzoMgbBhzo5IRETKmRK3IlJ2bDYzmVnz5jB+vKnPtWsXrFtnlvXrz4/Q/eor85qqVaFLF5PI6drVPK5Vy7nfQ0RKx7lz8Mwz8OKLZpLDGjXM49GjoYrK7ouIiNhlZ8BHQ+HscQhqb0bbiohIpaOrJBEpP1WqQPv2pjbu0qXw66/w44/mdunbb4d69UxiJyYGnn0W+vWD2rWhVSsYORLmzzeTFeXmOvubiFy29evXM2DAAOrXr4/NZuOzzz4rdv+YmBhsNluBZe/eveUT8OVat878/j//vEna/vWv5vf5/vuVtBUREbnQgXVwNBa8a8Ed74NHVWdHJCIiTqARtyLiPFWqmImIWreGceNMaYV9+8xI3I0bzRIfD3FxZnn3XfO6mjXNSNyuXc0ERtdeC35+Tv0qIiWVnp5O+/btuffeexk8eLDDr9u3bx81atSwr/v7+5dFeKXn1CmYMsWUQgAICjJ/rBk0yKlhiYiIuLRmEXD3J+YOtlohzo5GREScRIlbEXEdNpupcdmiBdx3n9n222/w3XewaZNZfvjBJIJWrzZLnmbNzERneUuHDuDj45SvIeKIvn370rdv3xK/rl69etSsWbP0AyptlgXLlpkyKcnJZtv995tJDCtC/CIiIs7W9CZnRyAiIk6mxK2IuDZ/fxgwwCxgbrHeudOMxs1L5iYkmEnQ9u+HDz4w+9ls0LJl/mTuNdeYydBEKrAOHTpw7tw5WrVqxT/+8Q969uxZ5L4ZGRlkZGTY19PS0sojRDhyxIyi//xzs96smRlxe8MN5fP5IiIiFdHvJ+Hz8RDxLNQOdXY0IiLiApS4FZGKxd0dOnY0y/jxZtvx47BlS/7ll19M/cw9e2DhQrOfm5sZzdu+ff4lMNB530fEQUFBQbz11luEhYWRkZHB+++/T69evYiJieGGIhKiUVFRPPXUU+UXZG4uvPkmPPYYpKWZ39fHHoNp08zEgyIiIlK43FxYdh/Er4HUw3DfOjMQQUREKjUlbkWk4qtTB/r0MUue5OT8idzNmyElBXbvNkveyFwwk6JdmMxt0QI8PMr/u4gUoXnz5jRv3ty+Hh4ezuHDh5k1a1aRidupU6cyadIk+3paWhrBwcFlE2BcHIweDd9+a9Y7dzajbNu2LZvPExERuZKs/6dJ2rpXhVtfVdJWREQAJW5F5EoVGAi33GIWMPU2jxyB7dthx47zS3y8SehGR5slj6cnNG8OrVqZydNatTJLkyZK6IrL6NKlC4sWLSryeS8vL7y8vMo2iIwMU7f2+echMxOqVzePx40zo9xFRESkePFfQkyUeXzLKxDU3rnxiIiIy1DiVkQqB5sNGjY0S14yFyA9HX78MX8yd+dOOH0adu0yy5+5u5t6nXmJ3LzEbtOmUNYJMpELxMbGEhQU5LwANm40o2z37DHr/frBvHnQqJHzYhIREalITh6EpSMBCzqNgGvucnZEIiLiQpS4FZHKrXp1c0t3587nt+XmwqFD52vk7t59/nF6+vnHf+bmBqGhJqnbtKlZ8h4HB2vkoRRw5swZfvrpJ/t6QkIC27dvp3bt2jRq1IipU6dy5MgRFv5Ro3n27Nk0btyY1q1bk5mZyaJFi1i6dClLly4t/+DT0uDxx2HuXDOa3d8f5syByEjd2ikiIuKorHPw0VA4dwoahMHNM50dkYiIuBglbkVELlSliknChoZC//7nt1sWHD58PnH758RuWhr89JNZLuTpCVdfXTCp26QJBAUpqVtJbdmyhZ49e9rX82rRDhs2jAULFpCUlERiYqL9+czMTCZPnsyRI0fw9vamdevWrFy5kn79+pVv4JmZZnLAn38268OHw6xZpta0iIiIOC4jDWxuUK0O3P5vcNfdWyIikp8StyIijrLZzC3gjRrBzTef325ZcPQo7N9vaubm/YyPN8mtzEwzcVNcXMH39PCAkJDzieLQUGjc+Pxjf3+NYLxC9ejRA8uyinx+wYIF+danTJnClClTyjgqB3h6wpAhsHAhvPkm3HSTsyMSERGpmHzqwYjVcPxnqFlGk4eKiEiFpsStiMjlstmgQQOz/GkEJQA5OZCYWDChu38/HDwIWVlFj9QFqFYtfyI3NNSUXggONvV6NWJXnGHqVPj7303/FBERkUvn7gUBrZwdhYiIuCglbkVEylJe7dvQUIiIyP9cdjYcOQIJCfmXgwfNz6NH4ezZwmvq/vn9g4LyJ3MvfBwQoOSulC5PT7OIiIiIiIhImVHiVkTEWdzdTZmEkBDo0aPg8xkZZpK0vERuXlL38GH45ReT9M3JMY9/+QU2bSr6cwIDTYL3wp9/fhwQAF6qrSYiIiIiIiLiCpS4FRFxVV5eZhKzZs0Kfz4nB3799Xwit7CfR4+akb15yd2LqV27YIK3Xj1Ta/fCpXr10v2+IiIiIiIiImKnxK2ISEXl5gb165ulc+fC98nJgaSk80tycuHrycmm3u6JE2bZvfvin1+1Kjf5+JDh50dmjRpk+vnlf/zHzyxfXzKrVyfLxwfLw6N020BERERERETkCqXErYjIlczNzdS6bdiw+P0syyRsC0vw/vZbwSUjA86dw/vcObyPHXM4nGxvb7KqVyfT15csHx+yfHzM4+rVTYL3j21ZfzzPwYOmhIO39+W1g4iIiIiIiEgFo8StiIiAzQZ16pilTZvi97UsSE+H335jw7JleKam4pmWhldqav7HaWl4pqbiceYMnunpALj//jvuv//ueLL34YfhlVdg4sTL+34iIiIiIiIiFYwStyIiUjI2G/j4gI8Pp4qqv3uhnBw8zp7F4/RpPNLT8Tx9Ov/jM2dMgvdPjz3OnME7PR1q1Srb7yMiIiIiIiLigi4pcTt37lz++c9/kpSUROvWrZk9ezbdunUrcv9169YxadIkdu/eTf369ZkyZQpjxoy55KBFRKSCcXMz5Q98fUv0sgEDBkBubhkFJSIiIiIiIuK6qpT0BUuWLGHixIlMmzaN2NhYunXrRt++fUlMTCx0/4SEBPr160e3bt2IjY3l8ccf58EHH2Tp0qWXHbyIiFQCVUp8qhIRERERERGp8Ep8Nfzyyy8zcuRIRo0aRcuWLZk9ezbBwcHMmzev0P3feOMNGjVqxOzZs2nZsiWjRo1ixIgRzJo167KDFxEREREREREREbkSlShxm5mZydatW4mIiMi3PSIigo0bNxb6mk2bNhXYv0+fPmzZsoWsrKwShisiIiIiIiIiIiJy5StRjdtjx46Rk5NDQEBAvu0BAQEkJycX+prk5ORC98/OzubYsWMEBQUVeE1GRgYZGRn29dTUVADS0tJKEm6hzp49e9nvUZzSiPFiyvo7lIfyaCcRKXsV5Zia9z6WZZXK+1VUed9fx2AREbkUOp8aOp+KiMjlKMn59JImJ7PZbPnWLcsqsO1i+xe2PU9UVBRPPfVUge3BwcElDVVERMTu9OnT+Pn5OTsMpzl9+jSg86mIiFwenU91PhURkcvnyPm0RInbunXr4ubmVmB0bUpKSoFRtXkCAwML3d/d3Z06deoU+pqpU6cyadIk+3pubi4nTpygTp06xSaIr3RpaWkEBwdz+PBhatSo4exwXJbayTFqp4tTGzmmIrSTZVmcPn2a+vXrOzsUp6pfvz6HDx/G19e3Up9PL1QR+rArUDs5Ru3kGLWTY1ytnXQ+NXQ+NVytf7oqtZNj1E6OUTtdXEVoo5KcT0uUuPX09CQsLIzo6Gj++te/2rdHR0czcODAQl8THh7OihUr8m1bs2YNnTp1wsPDo9DXeHl54eXllW9bzZo1SxLqFa1GjRou2/lcidrJMWqni1MbOcbV26kyjwzKU6VKFRo2bOjsMFyWq/dhV6F2cozayTFqJ8e4UjvpfKrz6YVcqX+6MrWTY9ROjlE7XZyrt5Gj59MSTU4GMGnSJN555x3effdd4uLiePjhh0lMTGTMmDGAGS07dOhQ+/5jxozh0KFDTJo0ibi4ON59913mz5/P5MmTS/rRIiIiIiIiIiIiIpVCiWvcRkZGcvz4cZ5++mmSkpJo06YNq1atIiQkBICkpCQSExPt+4eGhrJq1SoefvhhXn/9derXr8+cOXMYPHhw6X0LERERERERERERkSvIJU1ONnbsWMaOHVvocwsWLCiwrXv37mzbtu1SPkr+xMvLi+nTpxcoIyH5qZ0co3a6OLWRY9ROUtGpDztG7eQYtZNj1E6OUTuJK1P/dIzayTFqJ8eonS7uSmsjm2VZlrODEBEREREREREREZHzSlzjVkRERERERERERETKlhK3IiIiIiIiIiIiIi5GiVsRERERERERERERF6PErYuIiori2muvxdfXl3r16nHbbbexb9++i75u3bp1hIWFUbVqVa666ireeOONcojWeS6lnWJiYrDZbAWWvXv3llPU5W/evHm0a9eOGjVqUKNGDcLDw/niiy+KfU1l60slbaPK2I8KExUVhc1mY+LEicXuV9n6k7i+i/3OW5bFjBkzqF+/Pt7e3vTo0YPdu3c7MWLnuFg7DR8+vMBxsEuXLk6M2DUUdmxUnyqosHZSn4IZM2YUaIPAwED78+pL4gy6PnWMrk8do+tTx+gateQqw/WpErcuYt26dYwbN47vvvuO6OhosrOziYiIID09vcjXJCQk0K9fP7p160ZsbCyPP/44Dz74IEuXLi3HyMvXpbRTnn379pGUlGRfmjZtWg4RO0fDhg2ZOXMmW7ZsYcuWLdx4440MHDiwyP/kV8a+VNI2ylOZ+tGFNm/ezFtvvUW7du2K3a8y9idxfRf7nX/xxRd5+eWXee2119i8eTOBgYH07t2b06dPOzny8uXIsfHmm2/OdxxctWqVEyN2vqKOjepT+RV3DlGfgtatW+drg127dtmfU18SZ9D1qWN0feoYXZ86RteoJVNprk8tcUkpKSkWYK1bt67IfaZMmWK1aNEi37b777/f6tKlS1mH5zIcaae1a9dagHXy5MnyC8wF1apVy3rnnXcKfU59ySiujSp7Pzp9+rTVtGlTKzo62urevbv10EMPFbmv+pNUFHm/87m5uVZgYKA1c+ZM+3Pnzp2z/Pz8rDfeeMOJEbqGPx8bhw0bZg0cONC5AbmQoo6N6lP5FXcOUZ+yrOnTp1vt27cv9Dn1JXEVuj51jK5PHafrU8foGrVwlen6VCNuXVRqaioAtWvXLnKfTZs2ERERkW9bnz592LJlC1lZWWUan6twpJ3ydOjQgaCgIHr16sXatWvLOjSXkZOTw4cffkh6ejrh4eGF7lPZ+5IjbZSnsvajcePG0b9/f2666aaL7lvZ+5O4vgt/5xMSEkhOTs7Xb728vOjevTsbN250YqTOVdSxMSYmhnr16tGsWTNGjx5NSkqKE6N0rqKOjepT+V3sHKI+BfHx8dSvX5/Q0FD+9re/ceDAAUB9SVyHrk8do+vTi9P1qWN0jVq8ynR96u7sAKQgy7KYNGkS119/PW3atClyv+TkZAICAvJtCwgIIDs7m2PHjhEUFFTWoTqVo+0UFBTEW2+9RVhYGBkZGbz//vv06tWLmJgYbrjhhnKMuHzt2rWL8PBwzp07h4+PD59++imtWrUqdN/K2pdK0kaVtR8BfPjhh2zbto3Nmzc7tH9l7U/i+or6nc9LfhTWbw8dOuSMUJ2quGNj3759uf322wkJCSEhIYEnnniCG2+8ka1bt+Ll5eXkyMtXccfG5ORkQH0KLn4OUZ+Czp07s3DhQpo1a8avv/7Ks88+S9euXdm9e7f6krgEXZ86RtenxdP1qWN0jXpxle36VIlbFzR+/Hh27tzJN998c9F9bTZbvnXLsgrdfiVytJ2aN29O8+bN7evh4eEcPnyYWbNmXdEHs+bNm7N9+3ZOnTrF0qVLGTZsGOvWrSvyoF8Z+1JJ2qiy9qPDhw/z0EMPsWbNGqpWrerw6ypjfxLXV9TvfJ7C+m1l7LPFHRsjIyPt+7Vp04ZOnToREhLCypUrGTRokBOjLl+OHhsre59ypJ3Up0zyOk/btm0JDw/n6quv5t///rd9orbK3pfEuXR96hhdnxZP16eO0TVq8Srj9alKJbiYCRMmsHz5ctauXUvDhg2L3TcwMND+V/g8KSkpuLu7U6dOnbIM0+lK0k6F6dKlC/Hx8WUQmevw9PSkSZMmdOrUiaioKNq3b8+//vWvQvetrH2pJG1UmMrQj7Zu3UpKSgphYWG4u7vj7u7OunXrmDNnDu7u7uTk5BR4TWXtT+L6ivqdz5u9vbB+e+Ff5yuDkhwbg4KCCAkJueKPhRe62LExr99U9j51KeeQytqn/qx69eq0bduW+Ph4HZ/E6XR96hhdn16crk8do2vU4lXG61Mlbl2EZVmMHz+eZcuW8fXXXxMaGnrR14SHhxMdHZ1v25o1a+jUqRMeHh5lFapTXUo7FSY2Ntblh8OXNsuyyMjIKPS5ytiXClNcGxWmMvSjXr16sWvXLrZv325fOnXqxN1338327dtxc3Mr8Br1J6ko8n7nQ0NDCQwMzNdvMzMzWbduHV27dnVihK6huGPj8ePHOXz48BV/LLzQxY6NV111lfoUl3YOqax96s8yMjKIi4sjKChIxydxGl2fOkbXp5dO16eO0TVqfpXy+rQcJ0KTYjzwwAOWn5+fFRMTYyUlJdmXs2fP2vd57LHHrCFDhtjXDxw4YFWrVs16+OGHrT179ljz58+3PDw8rE8++cQZX6FcXEo7vfLKK9ann35q7d+/3/rxxx+txx57zAKspUuXOuMrlIupU6da69evtxISEqydO3dajz/+uFWlShVrzZo1lmWpL1lWyduoMvajolw4a6f6k1QEF/udnzlzpuXn52ctW7bM2rVrl3XnnXdaQUFBVlpampMjL1/FtdPp06etRx55xNq4caOVkJBgrV271goPD7caNGhQ6dqpMBceG9WnCvfndlKfMh555BErJibGOnDggPXdd99Zt9xyi+Xr62sdPHjQsiz1JXEOXZ86RtenjtH1qWN0jXpprvTrUyVuXQRQ6PLee+/Z9xk2bJjVvXv3fK+LiYmxOnToYHl6elqNGze25s2bV76Bl7NLaacXXnjBuvrqq62qVatatWrVsq6//npr5cqV5R98ORoxYoQVEhJieXp6Wv7+/lavXr3sB3vLUl+yrJK3UWXsR0W58MSo/iQVwcV+53Nzc63p06dbgYGBlpeXl3XDDTdYu3btcmLEzlFcO509e9aKiIiw/P39LQ8PD6tRo0bWsGHDrMTERCdH7RouPDaqTxXuz+2kPmVERkZaQUFBloeHh1W/fn1r0KBB1u7du+3Pqy+JM+j61DG6PnWMrk8do2vUS3OlX5/aLOuPirwiIiIiIiIiIiIi4hJU41ZERERERERERETExShxKyIiIiIiIiIiIuJilLgVERERERERERERcTFK3IqIiIiIiIiIiIi4GCVuRURERERERERERFyMErciIiIiIiIiIiIiLkaJWxEREREREREREREXo8StiIiIiIiIiIiIiItR4lZERERE7A4ePIjNZmP79u3ODqVEGjduzOzZs0vt/Xr06MHEiRNL7f2cwWaz8dlnnwEV999VREREpDJT4lZERESkkrDZbMUuw4cPd3aIF7VgwQJq1qxZYPvmzZu57777yj8gFzBjxgyuueaaAtuTkpLo27dv+QckIiIiIqXC3dkBiIiIiEj5SEpKsj9esmQJTz75JPv27bNv8/b25uTJk84IjZycHGw2G1WqXNq4An9//1KOqOILDAx0dggiIiIichk04lZERESkkggMDLQvfn5+2Gy2AtvyHDhwgJ49e1KtWjXat2/Ppk2b8r3Xxo0bueGGG/D29iY4OJgHH3yQ9PR0+/MnT55k6NCh1KpVi2rVqtG3b1/i4+Ptz+eNnP3vf/9Lq1at8PLy4tChQ2RmZjJlyhQaNGhA9erV6dy5MzExMQDExMRw7733kpqaah8lPGPGDKBgqYRTp05x3333ERAQQNWqVWnTpg3//e9/ATh+/Dh33nknDRs2pFq1arRt25bFixeXuD1nzpxJQEAAvr6+jBw5ksceeyzfyNfCyi3cdttt+UY2L1q0iE6dOuHr60tgYCB33XUXKSkp9udjYmKw2Wx89dVXdOrUiWrVqtG1a1d7wn3BggU89dRT7Nixw94mCxYsAPKXSijMnj176NevHz4+PgQEBDBkyBCOHTtmf/6TTz6hbdu2eHt7U6dOHW666aZ8/8YiIiIiUraUuBURERGRAqZNm8bkyZPZvn07zZo148477yQ7OxuAXbt20adPHwYNGsTOnTtZsmQJ33zzDePHj7e/fvjw4WzZsoXly5ezadMmLMuiX79+ZGVl2fc5e/YsUVFRvPPOO+zevZt69epx77338u233/Lhhx+yc+dObr/9dm6++Wbi4+Pp2rUrs2fPpkaNGiQlJZGUlMTkyZMLxJ6bm0vfvn3ZuHEjixYtYs+ePcycORM3NzcAzp07R1hYGP/973/58ccfue+++xgyZAjff/+9w+3z0UcfMX36dJ577jm2bNlCUFAQc+fOLXE7Z2Zm8swzz7Bjxw4+++wzEhISCi1ZMW3aNF566SW2bNmCu7s7I0aMACAyMpJHHnmE1q1b29skMjLyop+blJRE9+7dueaaa9iyZQurV6/m119/5Y477rA/f+eddzJixAji4uKIiYlh0KBBWJZV4u8oIiIiIpdGpRJEREREpIDJkyfTv39/AJ566ilat27NTz/9RIsWLfjnP//JXXfdZR9N2rRpU+bMmUP37t2ZN28ehw8fZvny5Xz77bd07doVgP/85z8EBwfz2WefcfvttwOQlZXF3Llzad++PQA///wzixcv5pdffqF+/fr2OFavXs17773H888/n2+kcFG+/PJLfvjhB+Li4mjWrBkAV111lf35Bg0a5Ev4TpgwgdWrV/Pxxx/TuXNnh9pn9uzZjBgxglGjRgHw7LPP8uWXX3Lu3DmHXp8nLwGbF+OcOXP4y1/+wpkzZ/Dx8bE/99xzz9G9e3cAHnvsMfr378+5c+fw9vbGx8cHd3f3EpVGmDdvHh07duT555+3b3v33XcJDg5m//79nDlzhuzsbAYNGkRISAgAbdu2LdF3ExEREZHLoxG3IiIiIlJAu3bt7I+DgoIA7Lfwb926lQULFuDj42Nf+vTpQ25uLgkJCcTFxeHu7p4vCVqnTh2aN29OXFycfZunp2e+z9m2bRuWZdGsWbN8771u3Tp+/vlnh2Pfvn07DRs2tCdtL5STk8Nzzz1Hu3btqFOnDj4+PqxZs4bExESHPyMuLo7w8PB82y5cd0RsbCwDBw4kJCQEX19fevToAVAgluL+PS7F1q1bWbt2bb52btGiBWAS6O3bt6dXr160bduW22+/nbfffttp9Y9FREREKiuNuBURERGRAjw8POyPbTYbYEoQ5P28//77efDBBwu8rlGjRuzfv7/Q97Qsy/5eYCZD+/N6bm4ubm5ubN261V7WIM+fR59ejLe3d7HPv/TSS7zyyivMnj2btm3bUr16dSZOnEhmZqbDn+GIKlWqFCgt8OdSEenp6URERBAREcGiRYvw9/cnMTGRPn36FIiluH+PS5Gbm8uAAQN44YUXCjwXFBSEm5sb0dHRbNy4kTVr1vDqq68ybdo0vv/+e0JDQy/5c0VERETEcUrcioiIiEiJdOzYkd27d9OkSZNCn2/VqhXZ2dl8//339lIJx48fZ//+/bRs2bLI9+3QoQM5OTmkpKTQrVu3Qvfx9PQkJyen2PjatWvHL7/8wv79+wsddbthwwYGDhzIPffcA5gkZnx8fLGxXahly5Z89913DB061L7tu+++y7ePv78/SUlJ9vWcnBx+/PFHevbsCcDevXs5duwYM2fOJDg4GIAtW7Y4HEMeR9rkQh07dmTp0qU0btwYd/fCLwlsNhvXXXcd1113HU8++SQhISF8+umnTJo0qcQxioiIiEjJqVSCiIiIiJTIo48+yqZNmxg3bhzbt28nPj6e5cuXM2HCBMDUvB04cCCjR4/mm2++YceOHdxzzz00aNCAgQMHFvm+zZo14+6772bo0KEsW7aMhIQENm/ezAsvvMCqVasAaNy4MWfOnOGrr77i2LFjnD17tsD7dO/enRtuuIHBgwcTHR1NQkICX3zxBatXrwagSZMm9tGkcXFx3H///SQnJ5eoDR566CHeffdd3n33Xfbv38/06dPZvXt3vn1uvPFGVq5cycqVK9m7dy9jx47l1KlT9ucbNWqEp6cnr776KgcOHGD58uU888wzJYojr00SEhLYvn07x44dIyMj46KvGTduHCdOnODOO+/khx9+4MCBA6xZs4YRI0aQk5PD999/z/PPP8+WLVtITExk2bJl/PbbbyVKbouIiIjI5VHiVkRERERKpF27dqxbt474+Hi6detGhw4deOKJJ+y1VwHee+89wsLCuOWWWwgPD8eyLFatWpXvlv/CvPfeewwdOpRHHnmE5s2bc+utt/L999/bR6R27dqVMWPGEBkZib+/Py+++GKh77N06VKuvfZa7rzzTlq1asWUKVPso1KfeOIJOnbsSJ8+fejRoweBgYHcdtttJWqDyMhInnzySR599FHCwsI4dOgQDzzwQL59RowYwbBhwxg6dCjdu3cnNDTUPtoWzIjcBQsW8PHHH9OqVStmzpzJrFmzShQHwODBg7n55pvp2bMn/v7+LF68+KKvqV+/Pt9++y05OTn06dOHNm3a8NBDD+Hn50eVKlWoUaMG69evp1+/fjRr1ox//OMfvPTSS/Tt27fE8YmIiIjIpbFZFxbeEhERERGREpsxYwafffYZ27dvd3YoIiIiInIF0IhbERERERERERERERejxK2IiIiIiIiIiIiIi1GpBBEREREREREREREXoxG3IiIiIiIiIiIiIi5GiVsRERERERERERERF6PErYiIiIiIiIiIiIiLUeJWRERERERERERExMUocSsiIiIiIiIiIiLiYpS4FREREREREREREXExStyKiIiIiIiIiIiIuBglbkVERERERERERERcjBK3IiIiIiIiIiIiIi7m/wH9moVuSWM10wAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "--- Goodness of Fit: Beta Prime ---\n", "Parameters: (84.61610985812757, 42.930393003646174, 0, 0.647788980166632)\n", "KS Statistic: 0.1129, p-value: 0.4746\n", "Log-Likelihood: 0.05\n", "AIC: 7.89, BIC: 15.77\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.io import loadmat\n", "from scipy.stats import betaprime\n", "\n", "# === Load Data ===\n", "data_path = \"../data/\"\n", "suv_file = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_file = data_path + \"flags_combined.mat\"\n", "suv_dict = loadmat(suv_file)\n", "flags_dict = loadmat(flags_file)\n", "\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = flags_dict['flags'][0:58, 3]\n", "\n", "p = 94\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1)\n", "y = flags.flatten().astype(int)\n", "\n", "X_ae = X[y == 1]\n", "X_normal = X[y == 0]\n", "\n", "# === Fit Distributions (Beta Prime for both) ===\n", "ae_params = betaprime.fit(X_ae, floc=0)\n", "nc_params = betaprime.fit(X_normal, floc=0)\n", "\n", "# === Priors ===\n", "p_ae = len(X_ae) / (len(X_ae) + len(X_normal))\n", "p_nc = 1 - p_ae\n", "\n", "# === SUV Range ===\n", "suv_range = np.linspace(min(min(X_ae), min(X_normal)),\n", " max(max(X_ae), max(X_normal)), 300)\n", "\n", "pdf_ae = betaprime.pdf(suv_range, *ae_params)\n", "pdf_nc = betaprime.pdf(suv_range, *nc_params)\n", "\n", "# === Posterior ===\n", "p_suv = pdf_ae * p_ae + pdf_nc * p_nc\n", "posterior_ae = (pdf_ae * p_ae) / p_suv\n", "\n", "# === Plot Posterior ===\n", "plt.figure(figsize=(9, 6))\n", "plt.plot(suv_range, posterior_ae, label=r'$P(\\mathrm{AE} \\mid \\mathrm{SUV})$', color='crimson', linewidth=2)\n", "plt.scatter(X_normal, np.zeros_like(X_normal), color='blue', alpha=0.5, label='NC Patients (y=0)')\n", "plt.scatter(X_ae, np.ones_like(X_ae), color='green', alpha=0.7, label='AE Patients (y=1)')\n", "\n", "plt.title(\"Posterior Probability of Adverse Effect vs SUV (BetaPrime–BetaPrime Model)\")\n", "plt.xlabel(\"SUV (94th percentile)\")\n", "plt.ylabel(\"P(AE | SUV)\")\n", "plt.ylim(-0.1, 1.1)\n", "plt.grid(True)\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# === Goodness-of-Fit Function ===\n", "def goodness_of_fit_analysis(data, dist_name='gamma', ax_prefix=''):\n", " import numpy as np\n", " import matplotlib.pyplot as plt\n", " from scipy.stats import gamma, lognorm, betaprime, kstest, anderson, probplot\n", "\n", " data = np.array(data)\n", " n = len(data)\n", "\n", " if dist_name == 'gamma':\n", " params = gamma.fit(data, floc=0)\n", " dist = gamma(*params)\n", " name = \"Gamma\"\n", " elif dist_name == 'lognorm':\n", " params = lognorm.fit(data, floc=0)\n", " dist = lognorm(*params)\n", " name = \"Lognormal\"\n", " elif dist_name == 'betaprime':\n", " params = betaprime.fit(data, floc=0)\n", " dist = betaprime(*params)\n", " name = \"Beta Prime\"\n", " else:\n", " raise ValueError(\"Unsupported distribution\")\n", "\n", " # KS Test\n", " ks_stat, ks_p = kstest(data, dist_name, args=params)\n", "\n", " # Anderson-Darling (only for 'norm')\n", " ad_result = anderson(data, dist_name) if dist_name == 'norm' else None\n", "\n", " # Log-likelihood\n", " log_likelihood = np.sum(dist.logpdf(data))\n", "\n", " # AIC and BIC\n", " k = len(params)\n", " aic = 2 * k - 2 * log_likelihood\n", " bic = k * np.log(n) - 2 * log_likelihood\n", "\n", " # === Output ===\n", " print(f\"\\n--- Goodness of Fit: {name} ---\")\n", " print(f\"Parameters: {params}\")\n", " print(f\"KS Statistic: {ks_stat:.4f}, p-value: {ks_p:.4f}\")\n", " if ad_result:\n", " print(f\"AD Statistic: {ad_result.statistic:.4f}\")\n", " print(f\"Log-Likelihood: {log_likelihood:.2f}\")\n", " print(f\"AIC: {aic:.2f}, BIC: {bic:.2f}\")\n", "\n", " # === Plots ===\n", " x = np.linspace(min(data), max(data), 300)\n", " pdf = dist.pdf(x)\n", "\n", " plt.figure(figsize=(14, 4))\n", "\n", " # Histogram + PDF\n", " plt.subplot(1, 3, 1)\n", " plt.hist(data, bins=15, density=True, alpha=0.6, color='gray', label='Empirical')\n", " plt.plot(x, pdf, 'r-', label=f'{name} PDF')\n", " plt.title(f\"{name}: Histogram + PDF\")\n", " plt.legend()\n", "\n", " # Q-Q Plot\n", " plt.subplot(1, 3, 2)\n", " probplot(data, dist=dist_name, sparams=params[:-2], plot=plt)\n", " plt.title(f\"{name}: Q–Q Plot\")\n", "\n", " # Empirical vs Theoretical CDF\n", " plt.subplot(1, 3, 3)\n", " sorted_data = np.sort(data)\n", " ecdf = np.arange(1, n+1) / n\n", " cdf = dist.cdf(sorted_data)\n", " plt.plot(sorted_data, ecdf, label='Empirical CDF', marker='.', linestyle='none')\n", " plt.plot(sorted_data, cdf, label=f'{name} CDF', linestyle='--')\n", " plt.legend()\n", " plt.title(f\"{name}: Empirical vs Theoretical CDF\")\n", "\n", " plt.tight_layout()\n", " plt.show()\n", "\n", "# === Goodness-of-Fit Analyses ===\n", "goodness_of_fit_analysis(X_ae, dist_name='betaprime')\n", "goodness_of_fit_analysis(X_normal, dist_name='betaprime')\n" ] }, { "cell_type": "markdown", "id": "0218c225", "metadata": {}, "source": [ "LOGNORM-BETAPRIME" ] }, { "cell_type": "code", "execution_count": null, "id": "36153034", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "--- Goodness of Fit: Beta Prime ---\n", "Parameters: (438.48437837034544, 12.429421766509954, 0, 0.06327913775189781)\n", "KS Statistic: 0.3369, p-value: 0.5192\n", "Log-Likelihood: -5.15\n", "AIC: 18.29, BIC: 16.73\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "--- Goodness of Fit: Lognormal ---\n", "Parameters: (0.18862822840694318, 0, 1.2841867534268423)\n", "KS Statistic: 0.1136, p-value: 0.4674\n", "Log-Likelihood: -0.06\n", "AIC: 6.12, BIC: 12.03\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.stats import lognorm\n", "\n", "# === Fit Distributions: Lognorm for NC, BetaPrime for AE ===\n", "ae_params = betaprime.fit(X_ae, floc=0)\n", "nc_params = lognorm.fit(X_normal, floc=0)\n", "\n", "# === Priors ===\n", "p_ae = len(X_ae) / (len(X_ae) + len(X_normal))\n", "p_nc = 1 - p_ae\n", "\n", "# === SUV Range for Posterior Computation ===\n", "suv_range = np.linspace(min(min(X_ae), min(X_normal)),\n", " max(max(X_ae), max(X_normal)), 300)\n", "\n", "pdf_ae = betaprime.pdf(suv_range, *ae_params)\n", "pdf_nc = lognorm.pdf(suv_range, *nc_params)\n", "\n", "# === Posterior ===\n", "p_suv = pdf_ae * p_ae + pdf_nc * p_nc\n", "posterior_ae = (pdf_ae * p_ae) / p_suv\n", "\n", "# === Plot Posterior ===\n", "plt.figure(figsize=(9, 6))\n", "plt.plot(suv_range, posterior_ae, label=r'$P(\\mathrm{AE} \\mid \\mathrm{SUV})$', color='crimson', linewidth=2)\n", "plt.scatter(X_normal, np.zeros_like(X_normal), color='blue', alpha=0.5, label='NC Patients (y=0)')\n", "plt.scatter(X_ae, np.ones_like(X_ae), color='green', alpha=0.7, label='AE Patients (y=1)')\n", "\n", "plt.title(\"Posterior Probability of Adverse Effect vs SUV (Lognorm–BetaPrime Model)\")\n", "plt.xlabel(\"SUV (94th percentile)\")\n", "plt.ylabel(\"P(AE | SUV)\")\n", "plt.ylim(-0.1, 1.1)\n", "plt.grid(True)\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# === Goodness-of-Fit Analyses ===\n", "goodness_of_fit_analysis(X_ae, dist_name='betaprime')\n", "goodness_of_fit_analysis(X_normal, dist_name='lognorm')\n", "\n" ] }, { "cell_type": "markdown", "id": "611f4226", "metadata": {}, "source": [ "LOHNORM-BETAPRIME" ] }, { "cell_type": "code", "execution_count": null, "id": "27c53613", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "loadmat works!\n" ] } ], "source": [ "from scipy.io import loadmat\n", "print(\"loadmat works!\")\n" ] }, { "cell_type": "markdown", "id": "61db765f", "metadata": {}, "source": [ "OPTIMIZATION" ] }, { "cell_type": "code", "execution_count": null, "id": "df00bffe", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.io import loadmat\n", "from scipy.stats import gamma, betaprime\n", "\n", "# === Load Data ===\n", "suvs = np.array([\n", " 2.10530186, 1.53638256, 1.27440464, 1.18793511, 1.67463589, 0.99560964,\n", " 1.29951334, 1.4487505, 1.41323006, 0.97716498, 4.15183592, 1.21824968,\n", " 1.41615129, 1.03924823, 0.95176142, 1.16912568, 1.27644777, 2.09301472,\n", " 1.40332818, 1.31390798, 1.26484132, 1.01535118, 0.87748241, 1.47154474,\n", " 1.3867569, 1.48594308, 1.12360644, 1.45436275, 1.47734261, 0.97777778,\n", " 1.36616147, 1.15132082, 1.50168598, 1.14430678, 1.19095373, 2.2312088,\n", " 1.40842247, 0.7728464, 1.23352277, 1.20050025, 1.54410601, 1.43738627,\n", " 1.40753829, 1.30866444, 1.46020007, 1.29942894, 1.26122737, 1.17339683,\n", " 1.78620076, 1.2313168, 0.97633207, 1.22268689, 1.53426397, 2.48122597,\n", " 1.51956749, 1.55983913, 1.23462415, 1.43941736\n", "])\n", "\n", "labels = np.array([\n", " 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\n", "])\n", "\n", "# === Extract SUVmax (p=94) ===\n", "p = 94\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1)\n", "y = flags.flatten().astype(int)\n", "\n", "X_ae = X[y == 1]\n", "X_nc = X[y == 0]\n", "\n", "\n", "# Fit gamma to NC\n", "gamma_params = gamma.fit(X_nc, floc=0) # [shape, loc, scale]\n", "\n", "# Fit beta prime to AE\n", "bp_params = betaprime.fit(X_ae, floc=0) # [a, b, loc, scale]\n" ] }, { "cell_type": "code", "execution_count": null, "id": "20446894", "metadata": {}, "outputs": [], "source": [ "N = 1000 # number of samples\n", "\n", "# Simulate parameter uncertainty by bootstrapping\n", "boot_preds = []\n", "x_vals = np.linspace(suvs.min(), suvs.max(), 200)\n", "\n", "for _ in range(N):\n", " # Resample\n", " X_ae_boot = np.random.choice(X_ae, size=len(X_ae), replace=True)\n", " X_nc_boot = np.random.choice(X_nc, size=len(X_nc), replace=True)\n", " \n", " # Fit distributions\n", " gamma_p = gamma.fit(X_nc_boot, floc=0)\n", " bp_p = betaprime.fit(X_ae_boot, floc=0)\n", " \n", " # Densities\n", " p_suv_ae = betaprime.pdf(x_vals, *bp_p)\n", " p_suv_nc = gamma.pdf(x_vals, *gamma_p)\n", " \n", " # Priors\n", " p_ae = len(X_ae) / len(suvs)\n", " p_nc = 1 - p_ae\n", " \n", " # Bayes\n", " numerator = p_suv_ae * p_ae\n", " denominator = numerator + p_suv_nc * p_nc + 1e-9\n", " p_ae_given_suv = numerator / denominator\n", " \n", " boot_preds.append(p_ae_given_suv)\n" ] }, { "cell_type": "code", "execution_count": null, "id": "f443ff79", "metadata": {}, "outputs": [], "source": [ "boot_preds = np.array(boot_preds) # shape (N, len(x_vals))\n", "\n", "post_median = np.median(boot_preds, axis=0)\n", "post_lower = np.percentile(boot_preds, 2.5, axis=0)\n", "post_upper = np.percentile(boot_preds, 97.5, axis=0)\n" ] }, { "cell_type": "code", "execution_count": null, "id": "5bb2c9b2", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\scipy\\interpolate\\_cubic.py:302: RuntimeWarning: overflow encountered in divide\n", " whmean = (w1/mk[:-1] + w2/mk[1:]) / (w1 + w2)\n" ] } ], "source": [ "from scipy.interpolate import PchipInterpolator\n", "\n", "post_lower_fit = PchipInterpolator(x_vals, post_lower)(x_vals)\n", "post_upper_fit = PchipInterpolator(x_vals, post_upper)(x_vals)\n", "post_lower_fit = np.clip(post_lower_fit, 0, 1)\n", "post_upper_fit = np.clip(post_upper_fit, 0, 1)\n" ] }, { "cell_type": "code", "execution_count": null, "id": "e8b7a779", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "315ffe36", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING (pytensor.configdefaults): g++ not available, if using conda: `conda install gxx`\n", "WARNING (pytensor.configdefaults): g++ not detected! PyTensor will be unable to compile C-implementations and will default to Python. Performance may be severely degraded. To remove this warning, set PyTensor flags cxx to an empty string.\n" ] } ], "source": [ "import pymc as pm\n", "import arviz as az\n" ] }, { "cell_type": "code", "execution_count": null, "id": "1a0fbd78", "metadata": {}, "outputs": [], "source": [ "pdf_ae = lognorm.pdf(suv_range, s=ae_sigma, scale=np.exp(ae_mu))\n" ] }, { "cell_type": "code", "execution_count": null, "id": "3d3b2501", "metadata": {}, "outputs": [], "source": [ "# Extract posterior samples\n", "mu_samples = trace.posterior['mu'].stack(draws=(\"chain\", \"draw\")).values\n", "sigma_samples = trace.posterior['sigma'].stack(draws=(\"chain\", \"draw\")).values\n", "\n", "n_samples = len(mu_samples)\n", "pdf_ae_samples = np.zeros((n_samples, len(suv_range)))\n", "\n", "# Evaluate AE PDF over SUV range for each posterior sample\n", "for i in range(n_samples):\n", " pdf_ae_samples[i] = lognorm.pdf(suv_range, s=sigma_samples[i], scale=np.exp(mu_samples[i]))\n" ] }, { "cell_type": "markdown", "id": "463dd342", "metadata": {}, "source": [ "SO IMPORTANT" ] }, { "cell_type": "code", "execution_count": null, "id": "ed886ec9", "metadata": {}, "outputs": [], "source": [ "asymptotic_mask = suv_range < min_ae_suv\n", "decay_factor = np.exp(-20 * (min_ae_suv - suv_range[asymptotic_mask]))\n", "\n", "posterior_ae_samples[:, asymptotic_mask] *= decay_factor\n" ] }, { "cell_type": "code", "execution_count": null, "id": "15a5e9c4", "metadata": {}, "outputs": [], "source": [ "mean_posterior = np.mean(posterior_ae_samples, axis=0)\n", "lower_ci = np.percentile(posterior_ae_samples, 2.5, axis=0)\n", "upper_ci = np.percentile(posterior_ae_samples, 97.5, axis=0)\n" ] }, { "cell_type": "code", "execution_count": null, "id": "3d705086", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az.plot_trace(trace, var_names=[\"mu\", \"sigma\"])\n", "plt.suptitle(\"Trace Plots for AE Model\")\n", "plt.show()\n", "\n", "az.plot_posterior(trace, var_names=[\"mu\", \"sigma\"])\n", "plt.suptitle(\"Posterior Distributions for AE Parameters\")\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "79dd4a0e", "metadata": {}, "outputs": [], "source": [ "# Gamma fit for NC\n", "\n", "import numpy as np, matplotlib.pyplot as plt\n", "from scipy.stats import gamma, lognorm\n", "from scipy.optimize import minimize\n", "\n", "suvs = np.array([\n", " 2.10530186, 1.53638256, 1.27440464, 1.18793511, 1.67463589, 0.99560964,\n", " 1.29951334, 1.4487505, 1.41323006, 0.97716498, 4.15183592, 1.21824968,\n", " 1.41615129, 1.03924823, 0.95176142, 1.16912568, 1.27644777, 2.09301472,\n", " 1.40332818, 1.31390798, 1.26484132, 1.01535118, 0.87748241, 1.47154474,\n", " 1.3867569, 1.48594308, 1.12360644, 1.45436275, 1.47734261, 0.97777778,\n", " 1.36616147, 1.15132082, 1.50168598, 1.14430678, 1.19095373, 2.2312088,\n", " 1.40842247, 0.7728464, 1.23352277, 1.20050025, 1.54410601, 1.43738627,\n", " 1.40753829, 1.30866444, 1.46020007, 1.29942894, 1.26122737, 1.17339683,\n", " 1.78620076, 1.2313168, 0.97633207, 1.22268689, 1.53426397, 2.48122597,\n", " 1.51956749, 1.55983913, 1.23462415, 1.43941736\n", "])\n", "\n", "labels = np.array([\n", " 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\n", "])\n", "\n", "X_ae = suvs[labels == 1] # AE group\n", "X_nc = suvs[labels == 0] # NC group\n" ] }, { "cell_type": "code", "execution_count": null, "id": "72e0658d", "metadata": {}, "outputs": [], "source": [ "from scipy.stats import gamma\n", "nc_shape, _, nc_scale = gamma.fit(X_nc, floc=0) # fix location=0\n" ] }, { "cell_type": "code", "execution_count": null, "id": "dc7f8ac5", "metadata": {}, "outputs": [], "source": [ "\n", "\n", "min_ae = X_ae.min()\n", "\n", "def ae_log_likelihood(params, data):\n", " mu, sigma = params\n", " if not (0.1 <= sigma <= 1.0): return -np.inf\n", " log_lik = np.sum(lognorm.logpdf(data, s=sigma, scale=np.exp(mu)))\n", " penalty = 100 * np.sum(lognorm.pdf(np.linspace(suvs.min(), min_ae, 20), s=sigma, scale=np.exp(mu)))\n", " return log_lik - penalty\n", "\n", "initial = [np.median(np.log(X_ae)), min(0.5, np.std(np.log(X_ae)))]\n", "bounds = [(0.5, 1.5), (0.1, 1.0)]\n", "\n", "result = minimize(lambda p: -ae_log_likelihood(p, X_ae), x0=initial, bounds=bounds)\n", "ae_mu, ae_sigma = result.x\n" ] }, { "cell_type": "code", "execution_count": null, "id": "a7672e17", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AE Prevalence: 8.6%\n", "AE Parameters: mu=1.05, sigma=0.17\n" ] } ], "source": [ "p_ae = len(X_ae) / len(suvs)\n", "print(f\"AE Prevalence: {p_ae:.1%}\")\n", "print (f\"AE Parameters: mu={ae_mu:.2f}, sigma={ae_sigma:.2f}\")" ] }, { "cell_type": "code", "execution_count": null, "id": "23c4c986", "metadata": {}, "outputs": [], "source": [ "\n", "\n", "def p_ae_given_x(x):\n", " f_ae = lognorm.pdf(x, s=ae_sigma, scale=np.exp(ae_mu))\n", " f_nc = gamma.pdf(x, a=nc_shape, scale=nc_scale)\n", " numerator = p_ae * f_ae\n", " denominator = numerator + (1 - p_ae) * f_nc\n", " return numerator / denominator\n" ] }, { "cell_type": "code", "execution_count": null, "id": "d024ca1f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Unconstrained fit parameters: mu=0.845, sigma=0.305\n" ] } ], "source": [ "\n", "\n", "def ae_log_likelihood_unconstrained(params, data):\n", " mu, sigma = params\n", " if sigma <= 0: # sigma must be positive\n", " return -np.inf\n", " return np.sum(lognorm.logpdf(data, s=sigma, scale=np.exp(mu)))\n", "\n", "# Initial guess: mean and std of log-transformed AE data\n", "initial_unconstrained = [np.median(np.log(X_ae)), np.std(np.log(X_ae))]\n", "\n", "# Minimize negative log-likelihood (maximize log-likelihood)\n", "result_unconstrained = minimize(\n", " lambda p: -ae_log_likelihood_unconstrained(p, X_ae),\n", " x0=initial_unconstrained,\n", " bounds=[(None, None), (1e-5, None)] # sigma > 0\n", ")\n", "\n", "ae_mu_unconstrained, ae_sigma_unconstrained = result_unconstrained.x\n", "\n", "print(f\"Unconstrained fit parameters: mu={ae_mu_unconstrained:.3f}, sigma={ae_sigma_unconstrained:.3f}\")\n" ] }, { "cell_type": "code", "execution_count": null, "id": "1c9385b5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Constrained fit (no penalty) parameters: mu=0.845, sigma=0.305\n" ] } ], "source": [ "def ae_log_likelihood_constrained_no_penalty(params, data):\n", " mu, sigma = params\n", " if not (0.5 <= mu <= 1.5 and 0.1 <= sigma <= 1.0):\n", " return -np.inf\n", " return np.sum(lognorm.logpdf(data, s=sigma, scale=np.exp(mu)))\n", "\n", "result_constrained_no_penalty = minimize(lambda p: -ae_log_likelihood_constrained_no_penalty(p, X_ae), \n", " x0=initial, bounds=bounds)\n", "\n", "ae_mu_constrained_no_penalty, ae_sigma_constrained_no_penalty = result_constrained_no_penalty.x\n", "print (f\"Constrained fit (no penalty) parameters: mu={ae_mu_constrained_no_penalty:.3f}, sigma={ae_sigma_constrained_no_penalty:.3f}\")\n" ] }, { "cell_type": "code", "execution_count": null, "id": "90cdb568", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Penalized & constrained fit parameters: mu=1.052, sigma=0.167\n" ] } ], "source": [ "\n", "def ae_log_likelihood_penalized(params, data):\n", " mu, sigma = params\n", " if not (0.5 <= mu <= 1.5 and 0.1 <= sigma <= 1.0):\n", " return -np.inf\n", " log_lik = np.sum(lognorm.logpdf(data, s=sigma, scale=np.exp(mu)))\n", " # Penalty for density in NC region (below min_ae)\n", " penalty_points = np.linspace(min(suvs), min_ae, 20)\n", " penalty = 100 * np.sum(lognorm.pdf(penalty_points, s=sigma, scale=np.exp(mu)))\n", " return log_lik - penalty\n", "\n", "initial_penalized = [np.median(np.log(X_ae)), min(0.5, np.std(np.log(X_ae)))]\n", "bounds_penalized = [(0.5, 1.5), (0.1, 1.0)]\n", "\n", "result_penalized = minimize(\n", " lambda p: -ae_log_likelihood_penalized(p, X_ae),\n", " x0=initial_penalized,\n", " bounds=bounds_penalized\n", ")\n", "\n", "ae_mu_penalized, ae_sigma_penalized = result_penalized.x\n", "print(f\"Penalized & constrained fit parameters: mu={ae_mu_penalized:.3f}, sigma={ae_sigma_penalized:.3f}\")\n" ] }, { "cell_type": "code", "execution_count": null, "id": "8197850e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Penalized: mu=1.0518197821074982, sigma=0.16680194215144561\n", "Constrained only: mu=0.8449512794000498, sigma=0.3054372034433606\n", "Unconstrained: mu=0.8449509603621469, sigma=0.3054371187895171\n" ] } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "# Define PDFs\n", "def f_ae(x, mu, sigma):\n", " return lognorm.pdf(x, s=sigma, scale=np.exp(mu))\n", "\n", "def f_nc(x, shape, scale):\n", " return gamma.pdf(x, a=shape, scale=scale)\n", "\n", "# SUV range for plotting\n", "x_vals = np.linspace(min(suvs), max(suvs), 500)\n", "\n", "# Prior\n", "p_ae = len(X_ae) / len(suvs)\n", "p_nc = 1 - p_ae\n", "\n", "# Posterior functions\n", "def ae_log_likelihood_penalized(params, data, min_ae_val):\n", " mu, sigma = params\n", " if not (0.5 <= mu <= 1.5 and 0.1 <= sigma <= 1.0):\n", " return -np.inf\n", " log_lik = np.sum(lognorm.logpdf(data, s=sigma, scale=np.exp(mu)))\n", " # Penalty for density in NC region (below min_ae)\n", " penalty_points = np.linspace(min(suvs), min_ae_val, 20)\n", " penalty = 100 * np.sum(lognorm.pdf(penalty_points, s=sigma, scale=np.exp(mu)))\n", " return log_lik - penalty\n", "\n", "\n", "# Calculate posteriors\n", "post_penalized = posterior(x_vals, ae_mu, ae_sigma)\n", "post_constrained_no_penalty = posterior(x_vals, ae_mu_constrained_no_penalty, ae_sigma_constrained_no_penalty)\n", "post_unconstrained = posterior(x_vals, ae_mu_unconstrained, ae_sigma_unconstrained)\n", "\n", "# Plot\n", "plt.figure(figsize=(8,5))\n", "plt.plot(x_vals, post_penalized, label='Penalized & Constrained')\n", "plt.plot(x_vals, post_constrained_no_penalty, label='Constrained Only')\n", "plt.plot(x_vals, post_unconstrained, label='Unconstrained & No Penalty')\n", "plt.xlabel('SUV')\n", "plt.ylabel(r'$P(\\mathrm{AE} \\mid \\mathrm{SUV})$')\n", "plt.title('Effect of Penalties and Constraints on Posterior Shape')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()\n", "\n", "\n", "print(f\"Penalized: mu={ae_mu}, sigma={ae_sigma}\")\n", "print(f\"Constrained only: mu={ae_mu_constrained_no_penalty}, sigma={ae_sigma_constrained_no_penalty}\")\n", "print(f\"Unconstrained: mu={ae_mu_unconstrained}, sigma={ae_sigma_unconstrained}\")\n" ] }, { "cell_type": "code", "execution_count": null, "id": "8973166e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "--- Parametric Bootstrap Summary ---\n", "Original mu: 1.0518\n", "Bootstrap mu: mean = 1.0442, std = 0.0730\n", "Original sigma: 0.1668\n", "Bootstrap sigma: mean = 0.1444, std = 0.0419\n", "\n", "--- Nonparametric Bootstrap Summary ---\n", "Number of successful bootstrap samples: 300\n", "Mean posterior shape: 0.5926\n", "Mean posterior scale: 0.4563\n", "Number of successful parametric bootstrap samples: 300\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import lognorm, gamma\n", "from scipy.optimize import minimize\n", "\n", "# Load Data\n", "suvs = np.array([\n", " 2.10530186, 1.53638256, 1.27440464, 1.18793511, 1.67463589, 0.99560964,\n", " 1.29951334, 1.4487505, 1.41323006, 0.97716498, 4.15183592, 1.21824968,\n", " 1.41615129, 1.03924823, 0.95176142, 1.16912568, 1.27644777, 2.09301472,\n", " 1.40332818, 1.31390798, 1.26484132, 1.01535118, 0.87748241, 1.47154474,\n", " 1.3867569, 1.48594308, 1.12360644, 1.45436275, 1.47734261, 0.97777778,\n", " 1.36616147, 1.15132082, 1.50168598, 1.14430678, 1.19095373, 2.2312088,\n", " 1.40842247, 0.7728464, 1.23352277, 1.20050025, 1.54410601, 1.43738627,\n", " 1.40753829, 1.30866444, 1.46020007, 1.29942894, 1.26122737, 1.17339683,\n", " 1.78620076, 1.2313168, 0.97633207, 1.22268689, 1.53426397, 2.48122597,\n", " 1.51956749, 1.55983913, 1.23462415, 1.43941736\n", "])\n", "labels = np.array([\n", " 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\n", "])\n", "\n", "X_ae = suvs[labels == 1]\n", "X_nc = suvs[labels == 0]\n", "\n", "# Constraints for mu and sigma\n", "constraints = [\n", " {'type': 'ineq', 'fun': lambda x: x[0] - 0.5}, # mu >= 0.5\n", " {'type': 'ineq', 'fun': lambda x: 1.5 - x[0]}, # mu <= 1.5\n", " {'type': 'ineq', 'fun': lambda x: x[1] - 0.1}, # sigma >= 0.1\n", " {'type': 'ineq', 'fun': lambda x: 1.0 - x[1]} # sigma <= 1.0\n", "]\n", "\n", "# Likelihood Functions\n", "def ae_log_likelihood_penalized(params, data, min_ae_val):\n", " mu, sigma = params\n", " log_lik = np.sum(lognorm.logpdf(data, s=sigma, scale=np.exp(mu)))\n", " penalty_points = np.linspace(min(suvs), min_ae_val, 20)\n", " penalty = 100 * np.sum(lognorm.pdf(penalty_points, s=sigma, scale=np.exp(mu)))\n", " return log_lik - penalty\n", "\n", "def ae_log_likelihood_unpenalized(params, data):\n", " mu, sigma = params\n", " return np.sum(lognorm.logpdf(data, s=sigma, scale=np.exp(mu)))\n", "\n", "# Posterior Function\n", "def posterior(x, mu, sigma, shape, scale, p_ae, p_nc):\n", " f_ae = lognorm.pdf(x, s=sigma, scale=np.exp(mu))\n", " f_nc = gamma.pdf(x, a=shape, scale=scale)\n", " return (p_ae * f_ae) / (p_ae * f_ae + p_nc * f_nc)\n", "\n", "# Initial Fit\n", "min_ae = X_ae.min()\n", "initial_penalized = [np.median(np.log(X_ae)), min(0.5, np.std(np.log(X_ae)))]\n", "\n", "res = minimize(lambda p: -ae_log_likelihood_penalized(p, X_ae, min_ae),\n", " x0=initial_penalized, method='SLSQP', constraints=constraints)\n", "\n", "if not res.success:\n", " raise RuntimeError(\"Initial AE fit failed.\")\n", "\n", "ae_mu, ae_sigma = res.x\n", "\n", "nc_shape, _, nc_scale = gamma.fit(X_nc, floc=0)\n", "x_vals = np.linspace(min(suvs), max(suvs), 500)\n", "p_ae = len(X_ae) / len(suvs)\n", "p_nc = 1 - p_ae\n", "post_mean = posterior(x_vals, ae_mu, ae_sigma, nc_shape, nc_scale, p_ae, p_nc)\n", "\n", "# Bootstrapping\n", "n_boot = 300\n", "use_penalty_in_param_boot = False\n", "\n", "post_nonparam = []\n", "post_param = []\n", "mu_p_list = []\n", "sigma_p_list = []\n", "\n", "for _ in range(n_boot):\n", " # --- Nonparametric Bootstrap ---\n", " X_ae_b = np.random.choice(X_ae, size=len(X_ae), replace=True)\n", " X_nc_b = np.random.choice(X_nc, size=len(X_nc), replace=True)\n", " min_ae_b = X_ae_b.min()\n", "\n", " res_b = minimize(lambda p: -ae_log_likelihood_penalized(p, X_ae_b, min_ae_b),\n", " x0=initial_penalized, method='SLSQP', constraints=constraints)\n", " if res_b.success:\n", " mu_b, sigma_b = res_b.x\n", " shape_b, _, scale_b = gamma.fit(X_nc_b, floc=0)\n", " post = posterior(x_vals, mu_b, sigma_b, shape_b, scale_b, p_ae, p_nc)\n", " post_nonparam.append(post)\n", "\n", " # --- Parametric Bootstrap ---\n", " X_ae_sim = lognorm.rvs(s=ae_sigma, scale=np.exp(ae_mu), size=len(X_ae))\n", " X_nc_sim = gamma.rvs(a=nc_shape, scale=nc_scale, size=len(X_nc))\n", " min_ae_sim = X_ae_sim.min()\n", "\n", " obj_func = (lambda p: -ae_log_likelihood_penalized(p, X_ae_sim, min_ae_sim)) if use_penalty_in_param_boot else \\\n", " (lambda p: -ae_log_likelihood_unpenalized(p, X_ae_sim))\n", "\n", " res_p = minimize(obj_func, x0=initial_penalized, method='SLSQP', constraints=constraints)\n", " if res_p.success:\n", " mu_p, sigma_p = res_p.x\n", " mu_p_list.append(mu_p)\n", " sigma_p_list.append(sigma_p)\n", " shape_p, _, scale_p = gamma.fit(X_nc_sim, floc=0)\n", " post = posterior(x_vals, mu_p, sigma_p, shape_p, scale_p, p_ae, p_nc)\n", " post_param.append(post)\n", "\n", "# Confidence Intervals\n", "post_nonparam = np.array(post_nonparam)\n", "post_param = np.array(post_param)\n", "\n", "lower_nonparam = np.percentile(post_nonparam, 2.5, axis=0)\n", "upper_nonparam = np.percentile(post_nonparam, 97.5, axis=0)\n", "lower_param = np.percentile(post_param, 2.5, axis=0)\n", "upper_param = np.percentile(post_param, 97.5, axis=0)\n", "\n", "# Plotting\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(x_vals, post_mean, label=\"Posterior (Penalized Fit)\", color=\"black\")\n", "plt.fill_between(x_vals, lower_nonparam, upper_nonparam, color=\"red\", alpha=0.3, label=\"95% CI (Nonparametric)\")\n", "plt.fill_between(x_vals, lower_param, upper_param, color=\"green\", alpha=0.3, label=\"95% CI (Parametric)\")\n", "\n", "plt.scatter(X_nc, np.zeros_like(X_nc), color=\"red\", alpha=0.5, label=\"NC (0)\", marker=\"x\")\n", "plt.scatter(X_ae, np.ones_like(X_ae), color=\"blue\", alpha=0.5, label=\"AE (1)\", marker=\"o\")\n", "\n", "plt.xlabel(\"SUV\")\n", "plt.ylabel(r\"$P(\\mathrm{AE} \\mid \\mathrm{SUV})$\")\n", "plt.title(\"Posterior Curve with 95% Confidence Bands\")\n", "plt.legend()\n", "plt.grid(True)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# Output Summary\n", "print(\"\\n--- Parametric Bootstrap Summary ---\")\n", "print(f\"Original mu: {ae_mu:.4f}\")\n", "print(f\"Bootstrap mu: mean = {np.mean(mu_p_list):.4f}, std = {np.std(mu_p_list):.4f}\")\n", "print(f\"Original sigma: {ae_sigma:.4f}\")\n", "print(f\"Bootstrap sigma: mean = {np.mean(sigma_p_list):.4f}, std = {np.std(sigma_p_list):.4f}\")\n", "\n", "print(\"\\n--- Nonparametric Bootstrap Summary ---\")\n", "print(f\"Number of successful bootstrap samples: {len(post_nonparam)}\")\n", "print(f\"Mean posterior shape: {np.mean(post_nonparam, axis=0).mean():.4f}\")\n", "print(f\"Mean posterior scale: {np.mean(post_nonparam, axis=0).std():.4f}\")\n", "print(f\"Number of successful parametric bootstrap samples: {len(post_param)}\")\n" ] }, { "cell_type": "code", "execution_count": null, "id": "a39ac887", "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'bp_ae_params' is not defined", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", "Cell \u001b[1;32mIn[39], line 5\u001b[0m\n\u001b[0;32m 3\u001b[0m \u001b[38;5;66;03m# === Fit Gamma for NC group and BetaPrime for AE group ===\u001b[39;00m\n\u001b[0;32m 4\u001b[0m gamma_nc_params \u001b[38;5;241m=\u001b[39m gamma\u001b[38;5;241m.\u001b[39mfit(X_nc, floc\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m) \u001b[38;5;66;03m# fix location to 0 for stability\u001b[39;00m\n\u001b[1;32m----> 5\u001b[0m bp_ae_params_gamma_bp \u001b[38;5;241m=\u001b[39m bp_ae_params \u001b[38;5;66;03m# same BetaPrime AE as before\u001b[39;00m\n\u001b[0;32m 7\u001b[0m \u001b[38;5;66;03m# PDFs for Gamma–BetaPrime model\u001b[39;00m\n\u001b[0;32m 8\u001b[0m pdf_gamma_nc \u001b[38;5;241m=\u001b[39m gamma\u001b[38;5;241m.\u001b[39mpdf(suv_range, \u001b[38;5;241m*\u001b[39mgamma_nc_params)\n", "\u001b[1;31mNameError\u001b[0m: name 'bp_ae_params' is not defined" ] } ], "source": [ "from scipy.stats import gamma\n", "\n", "# === Fit Gamma for NC group and BetaPrime for AE group ===\n", "gamma_nc_params = gamma.fit(X_nc, floc=0) # fix location to 0 for stability\n", "bp_ae_params_gamma_bp = bp_ae_params # same BetaPrime AE as before\n", "\n", "# PDFs for Gamma–BetaPrime model\n", "pdf_gamma_nc = gamma.pdf(suv_range, *gamma_nc_params)\n", "pdf_bp_ae_gamma_bp = betaprime.pdf(suv_range, *bp_ae_params_gamma_bp)\n", "\n", "# Posterior P(AE|SUV) for Gamma–BetaPrime\n", "p_suv_gamma_bp = p_ae * pdf_bp_ae_gamma_bp + p_nc * pdf_gamma_nc\n", "posterior_ae_gamma_bp = (p_ae * pdf_bp_ae_gamma_bp) / p_suv_gamma_bp\n", "\n", "# Compute goodness-of-fit stats for Gamma–BetaPrime\n", "def fit_stats_extended(data, dist_name, params):\n", " from scipy.stats import betaprime, lognorm, gamma\n", "\n", " if dist_name == 'betaprime':\n", " dist = betaprime(*params)\n", " elif dist_name == 'lognorm':\n", " dist = lognorm(*params)\n", " elif dist_name == 'gamma':\n", " dist = gamma(*params)\n", " else:\n", " raise ValueError(\"Unsupported dist\")\n", "\n", " log_likelihood = np.sum(dist.logpdf(data))\n", " k = len(params)\n", " aic = 2 * k - 2 * log_likelihood\n", " ks_stat, ks_p = kstest(data, dist.cdf)\n", " return aic, ks_stat, ks_p\n", "\n", "aic_gamma_nc, ks_gamma_nc, pval_gamma_nc = fit_stats_extended(X_nc, 'gamma', gamma_nc_params)\n", "\n", "# Update summary DataFrame to include Gamma–BetaPrime model\n", "results_df = pd.DataFrame({\n", " \"Model\": [\"BetaPrime–BetaPrime\", \"BetaPrime–BetaPrime\", \"Lognorm–BetaPrime\", \"Lognorm–BetaPrime\", \"Gamma–BetaPrime\", \"Gamma–BetaPrime\"],\n", " \"Group\": [\"NC\", \"AE\", \"NC\", \"AE\", \"NC\", \"AE\"],\n", " \"Distribution\": [\"BetaPrime\", \"BetaPrime\", \"Lognorm\", \"BetaPrime\", \"Gamma\", \"BetaPrime\"],\n", " \"AIC\": [aic_bp_nc, aic_bp_ae, aic_ln_nc, aic_bp_ae_2, aic_gamma_nc, aic_bp_ae],\n", " \"KS Statistic\": [ks_bp_nc, ks_bp_ae, ks_ln_nc, ks_bp_ae_2, ks_gamma_nc, ks_bp_ae],\n", " \"KS p-value\": [pval_bp_nc, pval_bp_ae, pval_ln_nc, pval_bp_ae_2, pval_gamma_nc, pval_bp_ae]\n", "})\n", "\n", "print(\"=== Updated Model Fit Comparison ===\")\n", "print(results_df)\n", "\n", "# Plot posterior comparison with Gamma–BetaPrime added\n", "plt.figure(figsize=(12, 6))\n", "plt.plot(suv_range, posterior_ae_bp, label='BetaPrime–BetaPrime Posterior', color='purple')\n", "plt.plot(suv_range, posterior_ae_ln_bp, label='Lognorm–BetaPrime Posterior', color='orange')\n", "plt.plot(suv_range, posterior_ae_gamma_bp, label='Gamma–BetaPrime Posterior', color='green', linestyle='--')\n", "plt.scatter(X_nc, np.zeros_like(X_nc), alpha=0.3, color='blue', label='NC')\n", "plt.scatter(X_ae, np.ones_like(X_ae), alpha=0.6, color='red', label='AE')\n", "plt.xlabel('SUV (94th percentile)')\n", "plt.ylabel(r'$P(\\mathrm{AE} \\mid \\mathrm{SUV})$')\n", "plt.title('Posterior Probability of AE: BetaPrime–BetaPrime vs Lognorm–BetaPrime vs Gamma–BetaPrime')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "fc4d4b63", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "🔹 Lognormal (NC):\n" ] }, { "ename": "NameError", "evalue": "name 'scale_ln_nc' is not defined", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", "Cell \u001b[1;32mIn[10], line 2\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m🔹 Lognormal (NC):\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m----> 2\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mmu = \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mnp\u001b[38;5;241m.\u001b[39mlog(scale_ln_nc)\u001b[38;5;132;01m:\u001b[39;00m\u001b[38;5;124m.5f\u001b[39m\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m)\n\u001b[0;32m 3\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124msigma = \u001b[39m\u001b[38;5;132;01m{\u001b[39;00msigma_ln_nc\u001b[38;5;132;01m:\u001b[39;00m\u001b[38;5;124m.5f\u001b[39m\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m)\n\u001b[0;32m 4\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mloc = \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mloc_ln_nc\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m)\n", "\u001b[1;31mNameError\u001b[0m: name 'scale_ln_nc' is not defined" ] } ], "source": [ "\n", "print(\"🔹 Lognormal (NC):\")\n", "print(f\"mu = {np.log(scale_ln_nc):.5f}\")\n", "print(f\"sigma = {sigma_ln_nc:.5f}\")\n", "print(f\"loc = {loc_ln_nc}\")\n", "print(f\"scale = {scale_ln_nc:.5f}\\n\")\n", "\n", "print(\"🔹 Gamma (NC):\")\n", "print(f\"shape (a) = {shape_gamma_nc:.5f}\")\n", "print(f\"loc = {loc_gamma_nc}\")\n", "print(f\"scale = {scale_gamma_nc:.5f}\\n\")\n", "\n", "print(\"🔹 BetaPrime (AE):\")\n", "print(f\"a = {a_bp_ae:.5f}\")\n", "print(f\"b = {b_bp_ae:.5f}\")\n", "print(f\"loc = {loc_bp_ae:.5f}\")\n", "print(f\"scale = {scale_bp_ae:.5f}\")\n" ] }, { "cell_type": "code", "execution_count": null, "id": "80a8b5ad", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "02030733", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "--- Parametric Bootstrap Summary ---\n", "Original AE Beta prime a: 10.000, b: 5.531, scale: 5.000\n", "Parametric bootstrap AE Beta prime a: mean 7.022, std 4.309\n", "Parametric bootstrap AE Beta prime b: mean 4.246, std 1.971\n", "Parametric bootstrap AE Beta prime scale: mean 3.405, std 2.220\n", "Parametric bootstrap NC Lognorm mu: mean 0.250, std 0.025\n", "Parametric bootstrap NC Lognorm sigma: mean 0.186, std 0.019\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import betaprime, lognorm\n", "from scipy.optimize import minimize\n", "\n", "\n", "\n", "X_ae = suvs[labels == 1]\n", "X_nc = suvs[labels == 0]\n", "\n", "# === Constraints \n", "beta_prime_constraints = [\n", " {'type': 'ineq', 'fun': lambda x: x[0] - 0.5}, # a >= 0.5\n", " {'type': 'ineq', 'fun': lambda x: 10 - x[0]}, # a <= 10\n", " {'type': 'ineq', 'fun': lambda x: x[1] - 0.5}, # b >= 0.5\n", " {'type': 'ineq', 'fun': lambda x: 10 - x[1]}, # b <= 10\n", " {'type': 'ineq', 'fun': lambda x: x[2] - 0.1}, # scale >= 0.1\n", " {'type': 'ineq', 'fun': lambda x: 5 - x[2]} # scale <= 5\n", "]\n", "\n", "lognorm_constraints = [\n", " {'type': 'ineq', 'fun': lambda x: x[0] - 0.0}, # mu >= 0.0\n", " {'type': 'ineq', 'fun': lambda x: 2.0 - x[0]}, # mu <= 2.0\n", " {'type': 'ineq', 'fun': lambda x: x[1] - 0.1}, # sigma >= 0.1\n", " {'type': 'ineq', 'fun': lambda x: 1.0 - x[1]} # sigma <= 1.0\n", "]\n", "\n", "# === Penalized Beta prime log likelihood for AE \n", "def ae_log_likelihood_penalized(params, data, min_ae_val):\n", " a, b, scale = params\n", " # Log-likelihood of Beta prime for AE data\n", " log_lik = np.sum(betaprime.logpdf(data, a, b, scale=scale))\n", " \n", " # Penalty region shifted slightly above min AE value\n", " penalty_points = np.linspace(min(data) + 0.01, min_ae_val + 0.1, 50)\n", " \n", " # Stronger penalty with squared pdf values\n", " penalty = 1000 * np.sum(betaprime.pdf(penalty_points, a, b, scale=scale)**2)\n", " \n", " return log_lik - penalty\n", "\n", "\n", " \n", "\n", "def ae_betaprime_log_likelihood_unpenalized(params, data):\n", " a, b, scale = params\n", " if any(p <= 0 for p in params):\n", " return -np.inf\n", " return np.sum(betaprime.logpdf(data, a, b, scale=scale))\n", "\n", "# Lognormal log likelihood for NC \n", "def nc_lognorm_log_likelihood(params, data):\n", " mu, sigma = params\n", " if sigma <= 0:\n", " return -np.inf\n", " return np.sum(lognorm.logpdf(data, s=sigma, scale=np.exp(mu)))\n", "\n", "# === Posterior function ===\n", "def posterior(x, a, b, scale, mu, sigma, p_ae, p_nc):\n", " f_ae = betaprime.pdf(x, a, b, scale=scale)\n", " f_nc = lognorm.pdf(x, s=sigma, scale=np.exp(mu))\n", " return (p_ae * f_ae) / (p_ae * f_ae + p_nc * f_nc)\n", "\n", "# === Initial parameters for fitting ===\n", "initial_beta_params = [2.0, 2.0, 1.0] # a, b, scale (guess)\n", "initial_lognorm_params = [np.median(np.log(X_nc)), np.std(np.log(X_nc))] # mu, sigma guess\n", "\n", "# === Fit AE Beta prime with penalty ===\n", "min_ae = X_ae.min()\n", "res_ae = minimize(\n", " lambda p: -ae_betaprime_log_likelihood_penalized(p, X_ae, min_ae),\n", " x0=initial_beta_params,\n", " method='SLSQP',\n", " constraints=beta_prime_constraints\n", ")\n", "\n", "if not res_ae.success:\n", " raise RuntimeError(\"AE Beta prime fit failed.\")\n", "\n", "ae_a, ae_b, ae_scale = res_ae.x\n", "\n", "# === Fit NC Lognormal (fix loc=0) ===\n", "nc_mu, nc_sigma = lognorm.fit(X_nc, floc=0)[1:] # returns shape, loc, scale, but shape=sigma, scale=exp(mu)\n", "\n", "# Extract mu from scale param:\n", "nc_mu = np.log(nc_sigma)\n", "nc_sigma = lognorm.fit(X_nc, floc=0)[0] # shape = sigma\n", "\n", "# Alternatively, do it manually:\n", "shape_, loc_, scale_ = lognorm.fit(X_nc, floc=0)\n", "nc_sigma = shape_\n", "nc_mu = np.log(scale_)\n", "\n", "# === Prepare for posterior and plotting ===\n", "x_vals = np.linspace(min(suvs), max(suvs), 500)\n", "p_ae = len(X_ae) / len(suvs)\n", "p_nc = 1 - p_ae\n", "\n", "post_mean = posterior(x_vals, ae_a, ae_b, ae_scale, nc_mu, nc_sigma, p_ae, p_nc)\n", "\n", "# === Bootstrapping parameters ===\n", "n_boot = 300\n", "use_penalty_in_param_boot = False # Penalize or not in param bootstrapping\n", "\n", "post_nonparam = []\n", "post_param = []\n", "beta_a_list = []\n", "beta_b_list = []\n", "beta_scale_list = []\n", "mu_p_list = []\n", "sigma_p_list = []\n", "\n", "for _ in range(n_boot):\n", " # --- Nonparametric Bootstrap ---\n", " X_ae_b = np.random.choice(X_ae, size=len(X_ae), replace=True)\n", " X_nc_b = np.random.choice(X_nc, size=len(X_nc), replace=True)\n", " min_ae_b = X_ae_b.min()\n", "\n", " res_b = minimize(\n", " lambda p: -ae_betaprime_log_likelihood_penalized(p, X_ae_b, min_ae_b),\n", " x0=initial_beta_params,\n", " method='SLSQP',\n", " constraints=beta_prime_constraints\n", " )\n", " if res_b.success:\n", " a_b, b_b, scale_b = res_b.x\n", " beta_a_list.append(a_b)\n", " beta_b_list.append(b_b)\n", " beta_scale_list.append(scale_b)\n", "\n", " # Fit NC lognormal for bootstrap sample\n", " shape_b, loc_b, scale_b_nc = lognorm.fit(X_nc_b, floc=0)\n", " mu_b = np.log(scale_b_nc)\n", " sigma_b = shape_b\n", "\n", " post = posterior(x_vals, a_b, b_b, scale_b, mu_b, sigma_b, p_ae, p_nc)\n", " post_nonparam.append(post)\n", "\n", " # --- Parametric Bootstrap ---\n", " X_ae_sim = betaprime.rvs(ae_a, ae_b, scale=ae_scale, size=len(X_ae))\n", " X_nc_sim = lognorm.rvs(s=nc_sigma, scale=np.exp(nc_mu), size=len(X_nc))\n", " min_ae_sim = X_ae_sim.min()\n", "\n", " obj_func = (lambda p: -ae_betaprime_log_likelihood_penalized(p, X_ae_sim, min_ae_sim)) if use_penalty_in_param_boot else (lambda p: -ae_betaprime_log_likelihood_unpenalized(p, X_ae_sim))\n", "\n", " res_p = minimize(\n", " obj_func,\n", " x0=initial_beta_params,\n", " method='SLSQP',\n", " constraints=beta_prime_constraints\n", " )\n", " if res_p.success:\n", " a_p, b_p, scale_p = res_p.x\n", " beta_a_list.append(a_p)\n", " beta_b_list.append(b_p)\n", " beta_scale_list.append(scale_p)\n", "\n", " shape_p, loc_p, scale_p_nc = lognorm.fit(X_nc_sim, floc=0)\n", " mu_p = np.log(scale_p_nc)\n", " sigma_p = shape_p\n", " mu_p_list.append(mu_p)\n", " sigma_p_list.append(sigma_p)\n", "\n", " post = posterior(x_vals, a_p, b_p, scale_p, mu_p, sigma_p, p_ae, p_nc)\n", " post_param.append(post)\n", "\n", "# Convert to np.array for CI calc\n", "post_nonparam = np.array(post_nonparam)\n", "post_param = np.array(post_param)\n", "\n", "lower_nonparam = np.percentile(post_nonparam, 2.5, axis=0)\n", "upper_nonparam = np.percentile(post_nonparam, 97.5, axis=0)\n", "lower_param = np.percentile(post_param, 2.5, axis=0)\n", "upper_param = np.percentile(post_param, 97.5, axis=0)\n", "\n", "# === Plotting ===\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(x_vals, post_mean, label=\"Posterior (Penalized AE Beta prime)\", color=\"black\")\n", "plt.fill_between(x_vals, lower_nonparam, upper_nonparam, color=\"red\", alpha=0.3, label=\"95% CI (Nonparametric)\")\n", "plt.fill_between(x_vals, lower_param, upper_param, color=\"green\", alpha=0.3, label=\"95% CI (Parametric)\")\n", "\n", "plt.scatter(X_nc, np.zeros_like(X_nc), color=\"red\", alpha=0.5, label=\"NC (0)\", marker=\"x\")\n", "plt.scatter(X_ae, np.ones_like(X_ae), color=\"blue\", alpha=0.5, label=\"AE (1)\", marker=\"o\")\n", "\n", "plt.xlabel(\"SUV\")\n", "plt.ylabel(r\"$P(\\mathrm{AE} \\mid \\mathrm{SUV})$\")\n", "plt.title(\"Posterior Curve with 95% Confidence Bands (Beta prime AE, Lognorm NC)\")\n", "plt.legend()\n", "plt.grid(True)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# === Summary ===\n", "print(\"\\n--- Parametric Bootstrap Summary ---\")\n", "print(f\"Original AE Beta prime a: {ae_a:.3f}, b: {ae_b:.3f}, scale: {ae_scale:.3f}\")\n", "print(f\"Parametric bootstrap AE Beta prime a: mean {np.mean(beta_a_list):.3f}, std {np.std(beta_a_list):.3f}\")\n", "print(f\"Parametric bootstrap AE Beta prime b: mean {np.mean(beta_b_list):.3f}, std {np.std(beta_b_list):.3f}\")\n", "print(f\"Parametric bootstrap AE Beta prime scale: mean {np.mean(beta_scale_list):.3f}, std {np.std(beta_scale_list):.3f}\")\n", "print(f\"Parametric bootstrap NC Lognorm mu: mean {np.mean(mu_p_list):.3f}, std {np.std(mu_p_list):.3f}\")\n", "print(f\"Parametric bootstrap NC Lognorm sigma: mean {np.mean(sigma_p_list):.3f}, std {np.std(sigma_p_list):.3f}\")\n" ] }, { "cell_type": "code", "execution_count": null, "id": "1d6d3050", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "--- Parametric Bootstrap Summary ---\n", "Original AE Beta prime a: 244.780, b: 12.883, scale: 0.117\n", "Parametric bootstrap AE Beta prime a: mean 115.210, std 93.772\n", "Parametric bootstrap AE Beta prime b: mean 122.769, std 158.061\n", "Parametric bootstrap AE Beta prime scale: mean 15.702, std 31.481\n", "Parametric bootstrap NC Lognorm mu: mean 0.249, std 0.024\n", "Parametric bootstrap NC Lognorm sigma: mean 0.185, std 0.017\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import betaprime, lognorm\n", "from scipy.optimize import minimize\n", "\n", "\n", "X_ae = suvs[labels == 1]\n", "X_nc = suvs[labels == 0]\n", "\n", "# === Unpenalized AE log-likelihood ===\n", "def ae_log_likelihood_unpenalized(params, data):\n", " a, b, scale = params\n", " if a <= 0 or b <= 0 or scale <= 0:\n", " return -np.inf\n", " return np.sum(betaprime.logpdf(data, a, b, scale=scale))\n", "\n", "# === NC log-likelihood (lognormal) ===\n", "def nc_lognorm_log_likelihood(params, data):\n", " mu, sigma = params\n", " if sigma <= 0:\n", " return -np.inf\n", " return np.sum(lognorm.logpdf(data, s=sigma, scale=np.exp(mu)))\n", "\n", "# === Posterior P(AE | x) ===\n", "def posterior(x, a, b, scale, mu, sigma, p_ae, p_nc):\n", " f_ae = betaprime.pdf(x, a, b, scale=scale)\n", " f_nc = lognorm.pdf(x, s=sigma, scale=np.exp(mu))\n", " return (p_ae * f_ae) / (p_ae * f_ae + p_nc * f_nc)\n", "\n", "# === Initial guesses ===\n", "initial_beta_params = [2.0, 2.0, 1.0]\n", "initial_lognorm_params = [np.median(np.log(X_nc)), np.std(np.log(X_nc))]\n", "\n", "# === Bounds (instead of constraints) for positive values ===\n", "bounds_beta = [(1e-3, None), (1e-3, None), (1e-3, None)]\n", "\n", "# === Fit AE Beta prime (unpenalized) ===\n", "res_ae = minimize(\n", " lambda p: -ae_log_likelihood_unpenalized(p, X_ae),\n", " x0=initial_beta_params,\n", " method='L-BFGS-B',\n", " bounds=bounds_beta\n", ")\n", "\n", "if not res_ae.success:\n", " raise RuntimeError(\"AE Beta prime fit failed.\")\n", "\n", "ae_a, ae_b, ae_scale = res_ae.x\n", "\n", "# === Fit NC lognormal (using scipy's MLE) ===\n", "shape_nc, loc_nc, scale_nc = lognorm.fit(X_nc, floc=0)\n", "nc_sigma = shape_nc\n", "nc_mu = np.log(scale_nc)\n", "\n", "# === Compute posterior ===\n", "x_vals = np.linspace(min(suvs), max(suvs), 500)\n", "p_ae = len(X_ae) / len(suvs)\n", "p_nc = 1 - p_ae\n", "\n", "post_mean = posterior(x_vals, ae_a, ae_b, ae_scale, nc_mu, nc_sigma, p_ae, p_nc)\n", "\n", "# === Bootstrapping ===\n", "n_boot = 300\n", "post_param = []\n", "beta_a_list = []\n", "beta_b_list = []\n", "beta_scale_list = []\n", "mu_p_list = []\n", "sigma_p_list = []\n", "\n", "for _ in range(n_boot):\n", " # Parametric AE + NC samples\n", " X_ae_sim = betaprime.rvs(ae_a, ae_b, scale=ae_scale, size=len(X_ae))\n", " X_nc_sim = lognorm.rvs(s=nc_sigma, scale=np.exp(nc_mu), size=len(X_nc))\n", "\n", " # Fit AE Beta prime on simulated data\n", " res_p = minimize(\n", " lambda p: -ae_log_likelihood_unpenalized(p, X_ae_sim),\n", " x0=initial_beta_params,\n", " method='L-BFGS-B',\n", " bounds=bounds_beta\n", " )\n", "\n", " if res_p.success:\n", " a_p, b_p, scale_p = res_p.x\n", " beta_a_list.append(a_p)\n", " beta_b_list.append(b_p)\n", " beta_scale_list.append(scale_p)\n", "\n", " # Fit NC lognormal on simulated data\n", " shape_p, loc_p, scale_p_nc = lognorm.fit(X_nc_sim, floc=0)\n", " mu_p = np.log(scale_p_nc)\n", " sigma_p = shape_p\n", " mu_p_list.append(mu_p)\n", " sigma_p_list.append(sigma_p)\n", "\n", " # Posterior\n", " post = posterior(x_vals, a_p, b_p, scale_p, mu_p, sigma_p, p_ae, p_nc)\n", " post_param.append(post)\n", "\n", "# === Compute CI ===\n", "post_param = np.array(post_param)\n", "lower_param = np.percentile(post_param, 2.5, axis=0)\n", "upper_param = np.percentile(post_param, 97.5, axis=0)\n", "\n", "# === Plotting ===\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(x_vals, post_mean, label=\"Posterior (Unpenalized AE Beta prime)\", color=\"black\")\n", "plt.fill_between(x_vals, lower_param, upper_param, color=\"green\", alpha=0.3, label=\"95% CI (Parametric)\")\n", "\n", "plt.scatter(X_nc, np.zeros_like(X_nc), color=\"red\", alpha=0.5, label=\"NC (0)\", marker=\"x\")\n", "plt.scatter(X_ae, np.ones_like(X_ae), color=\"blue\", alpha=0.5, label=\"AE (1)\", marker=\"o\")\n", "\n", "plt.xlabel(\"SUV\")\n", "plt.ylabel(r\"$P(\\mathrm{AE} \\mid \\mathrm{SUV})$\")\n", "plt.title(\"Posterior Curve (Unpenalized Beta prime AE, Lognorm NC)\")\n", "plt.legend()\n", "plt.grid(True)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# === Summary ===\n", "print(\"\\n--- Parametric Bootstrap Summary ---\")\n", "print(f\"Original AE Beta prime a: {ae_a:.3f}, b: {ae_b:.3f}, scale: {ae_scale:.3f}\")\n", "print(f\"Parametric bootstrap AE Beta prime a: mean {np.mean(beta_a_list):.3f}, std {np.std(beta_a_list):.3f}\")\n", "print(f\"Parametric bootstrap AE Beta prime b: mean {np.mean(beta_b_list):.3f}, std {np.std(beta_b_list):.3f}\")\n", "print(f\"Parametric bootstrap AE Beta prime scale: mean {np.mean(beta_scale_list):.3f}, std {np.std(beta_scale_list):.3f}\")\n", "print(f\"Parametric bootstrap NC Lognorm mu: mean {np.mean(mu_p_list):.3f}, std {np.std(mu_p_list):.3f}\")\n", "print(f\"Parametric bootstrap NC Lognorm sigma: mean {np.mean(sigma_p_list):.3f}, std {np.std(sigma_p_list):.3f}\")\n" ] }, { "cell_type": "code", "execution_count": null, "id": "f194e785", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "--- Constrained Fit Summary ---\n", "AE Beta prime a: 10.000, b: 10.000, scale: 2.322\n", "AE Bootstrap a: mean 9.376, std 1.644\n", "AE Bootstrap b: mean 9.308, std 1.640\n", "AE Bootstrap scale: mean 2.478, std 0.945\n", "NC Bootstrap mu: mean 0.252, std 0.026\n", "NC Bootstrap sigma: mean 0.187, std 0.018\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import betaprime, lognorm\n", "from scipy.optimize import minimize\n", "\n", "\n", "\n", "X_ae = suvs[labels == 1]\n", "X_nc = suvs[labels == 0]\n", "\n", "# === Constrained AE log-likelihood (no penalty) ===\n", "def ae_log_likelihood(params, data):\n", " a, b, scale = params\n", " if a <= 0 or b <= 0 or scale <= 0:\n", " return -np.inf\n", " return np.sum(betaprime.logpdf(data, a, b, scale=scale))\n", "\n", "# === NC log-likelihood (lognormal) ===\n", "def nc_lognorm_log_likelihood(params, data):\n", " mu, sigma = params\n", " if sigma <= 0:\n", " return -np.inf\n", " return np.sum(lognorm.logpdf(data, s=sigma, scale=np.exp(mu)))\n", "\n", "# === Constraints for AE (beta prime): bounds as inequality constraints ===\n", "beta_prime_constraints = [\n", " {'type': 'ineq', 'fun': lambda x: x[0] - 0.5}, # a >= 0.5\n", " {'type': 'ineq', 'fun': lambda x: 10 - x[0]}, # a <= 10\n", " {'type': 'ineq', 'fun': lambda x: x[1] - 0.5}, # b >= 0.5\n", " {'type': 'ineq', 'fun': lambda x: 10 - x[1]}, # b <= 10\n", " {'type': 'ineq', 'fun': lambda x: x[2] - 0.1}, # scale >= 0.1\n", " {'type': 'ineq', 'fun': lambda x: 5 - x[2]} # scale <= 5\n", "]\n", "\n", "# === Posterior P(AE | x) ===\n", "def posterior(x, a, b, scale, mu, sigma, p_ae, p_nc):\n", " f_ae = betaprime.pdf(x, a, b, scale=scale)\n", " f_nc = lognorm.pdf(x, s=sigma, scale=np.exp(mu))\n", " return (p_ae * f_ae) / (p_ae * f_ae + p_nc * f_nc)\n", "\n", "# === Initial guesses ===\n", "initial_beta_params = [2.0, 2.0, 1.0]\n", "initial_lognorm_params = [np.median(np.log(X_nc)), np.std(np.log(X_nc))]\n", "\n", "# === Fit AE with constraints ===\n", "res_ae = minimize(\n", " lambda p: -ae_log_likelihood(p, X_ae),\n", " x0=initial_beta_params,\n", " method='SLSQP',\n", " constraints=beta_prime_constraints\n", ")\n", "\n", "if not res_ae.success:\n", " raise RuntimeError(\"Constrained AE Beta prime fit failed.\")\n", "\n", "ae_a, ae_b, ae_scale = res_ae.x\n", "\n", "# === Fit NC lognormal ===\n", "shape_nc, loc_nc, scale_nc = lognorm.fit(X_nc, floc=0)\n", "nc_sigma = shape_nc\n", "nc_mu = np.log(scale_nc)\n", "\n", "# === Posterior computation ===\n", "x_vals = np.linspace(min(suvs), max(suvs), 500)\n", "p_ae = len(X_ae) / len(suvs)\n", "p_nc = 1 - p_ae\n", "\n", "post_mean = posterior(x_vals, ae_a, ae_b, ae_scale, nc_mu, nc_sigma, p_ae, p_nc)\n", "\n", "# === Bootstrapping ===\n", "n_boot = 300\n", "post_param = []\n", "beta_a_list = []\n", "beta_b_list = []\n", "beta_scale_list = []\n", "mu_p_list = []\n", "sigma_p_list = []\n", "\n", "for _ in range(n_boot):\n", " X_ae_sim = betaprime.rvs(ae_a, ae_b, scale=ae_scale, size=len(X_ae))\n", " X_nc_sim = lognorm.rvs(s=nc_sigma, scale=np.exp(nc_mu), size=len(X_nc))\n", "\n", " # Refit AE with constraints\n", " res_p = minimize(\n", " lambda p: -ae_log_likelihood(p, X_ae_sim),\n", " x0=initial_beta_params,\n", " method='SLSQP',\n", " constraints=beta_prime_constraints\n", " )\n", "\n", " if res_p.success:\n", " a_p, b_p, scale_p = res_p.x\n", " beta_a_list.append(a_p)\n", " beta_b_list.append(b_p)\n", " beta_scale_list.append(scale_p)\n", "\n", " # Fit NC lognormal\n", " shape_p, loc_p, scale_p_nc = lognorm.fit(X_nc_sim, floc=0)\n", " mu_p = np.log(scale_p_nc)\n", " sigma_p = shape_p\n", " mu_p_list.append(mu_p)\n", " sigma_p_list.append(sigma_p)\n", "\n", " post = posterior(x_vals, a_p, b_p, scale_p, mu_p, sigma_p, p_ae, p_nc)\n", " post_param.append(post)\n", "\n", "# === Compute CI ===\n", "post_param = np.array(post_param)\n", "lower_param = np.percentile(post_param, 2.5, axis=0)\n", "upper_param = np.percentile(post_param, 97.5, axis=0)\n", "\n", "# === Plotting ===\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(x_vals, post_mean, label=\"Posterior (Constrained AE Beta prime)\", color=\"black\")\n", "plt.fill_between(x_vals, lower_param, upper_param, color=\"orange\", alpha=0.3, label=\"95% CI (Parametric)\")\n", "\n", "plt.scatter(X_nc, np.zeros_like(X_nc), color=\"red\", alpha=0.5, label=\"NC (0)\", marker=\"x\")\n", "plt.scatter(X_ae, np.ones_like(X_ae), color=\"blue\", alpha=0.5, label=\"AE (1)\", marker=\"o\")\n", "\n", "plt.xlabel(\"SUV\")\n", "plt.ylabel(r\"$P(\\mathrm{AE} \\mid \\mathrm{SUV})$\")\n", "plt.title(\"Posterior Curve (Constrained Beta prime AE, Lognorm NC)\")\n", "plt.legend()\n", "plt.grid(True)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# === Summary ===\n", "print(\"\\n--- Constrained Fit Summary ---\")\n", "print(f\"AE Beta prime a: {ae_a:.3f}, b: {ae_b:.3f}, scale: {ae_scale:.3f}\")\n", "print(f\"AE Bootstrap a: mean {np.mean(beta_a_list):.3f}, std {np.std(beta_a_list):.3f}\")\n", "print(f\"AE Bootstrap b: mean {np.mean(beta_b_list):.3f}, std {np.std(beta_b_list):.3f}\")\n", "print(f\"AE Bootstrap scale: mean {np.mean(beta_scale_list):.3f}, std {np.std(beta_scale_list):.3f}\")\n", "print(f\"NC Bootstrap mu: mean {np.mean(mu_p_list):.3f}, std {np.std(mu_p_list):.3f}\")\n", "print(f\"NC Bootstrap sigma: mean {np.mean(sigma_p_list):.3f}, std {np.std(sigma_p_list):.3f}\")\n" ] }, { "cell_type": "code", "execution_count": null, "id": "03198181", "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'suvs' is not defined", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", "Cell \u001b[1;32mIn[6], line 10\u001b[0m\n\u001b[0;32m 4\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mscipy\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01moptimize\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m minimize\n\u001b[0;32m 6\u001b[0m \u001b[38;5;66;03m# === Data: Replace with your own ===\u001b[39;00m\n\u001b[0;32m 7\u001b[0m \u001b[38;5;66;03m# suvs = ...\u001b[39;00m\n\u001b[0;32m 8\u001b[0m \u001b[38;5;66;03m# labels = ...\u001b[39;00m\n\u001b[1;32m---> 10\u001b[0m X_ae \u001b[38;5;241m=\u001b[39m suvs[labels \u001b[38;5;241m==\u001b[39m \u001b[38;5;241m1\u001b[39m]\n\u001b[0;32m 11\u001b[0m X_nc \u001b[38;5;241m=\u001b[39m suvs[labels \u001b[38;5;241m==\u001b[39m \u001b[38;5;241m0\u001b[39m]\n\u001b[0;32m 12\u001b[0m min_ae_val \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mmin(X_ae)\n", "\u001b[1;31mNameError\u001b[0m: name 'suvs' is not defined" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import betaprime, lognorm\n", "from scipy.optimize import minimize\n", "\n", "# === Data: Replace with your own ===\n", "# suvs = ...\n", "# labels = ...\n", "\n", "X_ae = suvs[labels == 1]\n", "X_nc = suvs[labels == 0]\n", "min_ae_val = np.min(X_ae)\n", "\n", "# === Penalized Beta prime log likelihood for AE ===\n", "def ae_log_likelihood_penalized(params, data, min_val):\n", " a, b, scale = params\n", " if a <= 0 or b <= 0 or scale <= 0:\n", " return -np.inf\n", "\n", " log_lik = np.sum(betaprime.logpdf(data, a, b, scale=scale))\n", "\n", " penalty_points = np.linspace(min(data) + 0.01, min_val + 0.1, 50)\n", " penalty = 1000 * np.sum(betaprime.pdf(penalty_points, a, b, scale=scale)**2)\n", "\n", " return log_lik - penalty\n", "\n", "# === Log-likelihood for NC (lognormal) ===\n", "def nc_lognorm_log_likelihood(params, data):\n", " mu, sigma = params\n", " if sigma <= 0:\n", " return -np.inf\n", " return np.sum(lognorm.logpdf(data, s=sigma, scale=np.exp(mu)))\n", "\n", "# === Posterior P(AE | x) ===\n", "def posterior(x, a, b, scale, mu, sigma, p_ae, p_nc):\n", " f_ae = betaprime.pdf(x, a, b, scale=scale)\n", " f_nc = lognorm.pdf(x, s=sigma, scale=np.exp(mu))\n", " return (p_ae * f_ae) / (p_ae * f_ae + p_nc * f_nc)\n", "\n", "# === Initial guesses ===\n", "initial_beta_params = [2.0, 2.0, 1.0]\n", "initial_lognorm_params = [np.median(np.log(X_nc)), np.std(np.log(X_nc))]\n", "\n", "# === Fit AE with penalty (no constraints) ===\n", "res_ae = minimize(\n", " lambda p: -ae_log_likelihood_penalized(p, X_ae, min_ae_val),\n", " x0=initial_beta_params,\n", " method='Powell' # Powell is good without constraints\n", ")\n", "\n", "if not res_ae.success:\n", " raise RuntimeError(\"Penalized AE Beta prime fit failed.\")\n", "\n", "ae_a, ae_b, ae_scale = res_ae.x\n", "\n", "# === Fit NC lognormal ===\n", "shape_nc, loc_nc, scale_nc = lognorm.fit(X_nc, floc=0)\n", "nc_sigma = shape_nc\n", "nc_mu = np.log(scale_nc)\n", "\n", "# === Posterior computation ===\n", "x_vals = np.linspace(min(suvs), max(suvs), 500)\n", "p_ae = len(X_ae) / len(suvs)\n", "p_nc = 1 - p_ae\n", "\n", "post_mean = posterior(x_vals, ae_a, ae_b, ae_scale, nc_mu, nc_sigma, p_ae, p_nc)\n", "\n", "# === Parametric bootstrap ===\n", "n_boot = 300\n", "post_param = []\n", "beta_a_list = []\n", "beta_b_list = []\n", "beta_scale_list = []\n", "mu_p_list = []\n", "sigma_p_list = []\n", "\n", "for _ in range(n_boot):\n", " X_ae_sim = betaprime.rvs(ae_a, ae_b, scale=ae_scale, size=len(X_ae))\n", " X_nc_sim = lognorm.rvs(s=nc_sigma, scale=np.exp(nc_mu), size=len(X_nc))\n", "\n", " res_p = minimize(\n", " lambda p: -ae_log_likelihood_penalized(p, X_ae_sim, min_ae_val),\n", " x0=initial_beta_params,\n", " method='Powell'\n", " )\n", "\n", " if res_p.success:\n", " a_p, b_p, scale_p = res_p.x\n", " beta_a_list.append(a_p)\n", " beta_b_list.append(b_p)\n", " beta_scale_list.append(scale_p)\n", "\n", " shape_p, loc_p, scale_p_nc = lognorm.fit(X_nc_sim, floc=0)\n", " mu_p = np.log(scale_p_nc)\n", " sigma_p = shape_p\n", " mu_p_list.append(mu_p)\n", " sigma_p_list.append(sigma_p)\n", "\n", " post = posterior(x_vals, a_p, b_p, scale_p, mu_p, sigma_p, p_ae, p_nc)\n", " post_param.append(post)\n", "\n", "# === Compute CI ===\n", "post_param = np.array(post_param)\n", "lower_param = np.percentile(post_param, 2.5, axis=0)\n", "upper_param = np.percentile(post_param, 97.5, axis=0)\n", "\n", "# === Plotting ===\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(x_vals, post_mean, label=\"Posterior (Penalized AE Beta prime)\", color=\"black\")\n", "plt.fill_between(x_vals, lower_param, upper_param, color=\"green\", alpha=0.3, label=\"95% CI (Parametric)\")\n", "\n", "plt.scatter(X_nc, np.zeros_like(X_nc), color=\"red\", alpha=0.5, label=\"NC (0)\", marker=\"x\")\n", "plt.scatter(X_ae, np.ones_like(X_ae), color=\"blue\", alpha=0.5, label=\"AE (1)\", marker=\"o\")\n", "\n", "plt.xlabel(\"SUV\")\n", "plt.ylabel(r\"$P(\\mathrm{AE} \\mid \\mathrm{SUV})$\")\n", "plt.title(\"Posterior Curve (Penalized Beta prime AE, Lognorm NC)\")\n", "plt.legend()\n", "plt.grid(True)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# === Summary ===\n", "print(\"\\n--- Penalized Fit Summary ---\")\n", "print(f\"AE Beta prime a: {ae_a:.3f}, b: {ae_b:.3f}, scale: {ae_scale:.3f}\")\n", "print(f\"AE Bootstrap a: mean {np.mean(beta_a_list):.3f}, std {np.std(beta_a_list):.3f}\")\n", "print(f\"AE Bootstrap b: mean {np.mean(beta_b_list):.3f}, std {np.std(beta_b_list):.3f}\")\n", "print(f\"AE Bootstrap scale: mean {np.mean(beta_scale_list):.3f}, std {np.std(beta_scale_list):.3f}\")\n", "print(f\"NC Bootstrap mu: mean {np.mean(mu_p_list):.3f}, std {np.std(mu_p_list):.3f}\")\n", "print(f\"NC Bootstrap sigma: mean {np.mean(sigma_p_list):.3f}, std {np.std(sigma_p_list):.3f}\")\n" ] }, { "cell_type": "code", "execution_count": null, "id": "19936f34", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hessian eigenvalues: [1.86489122e-01 9.89228146e+00 1.07255585e+02 7.36378853e+02\n", " 5.35034645e+04]\n", "Positive definite? True\n", "Condition number (2-norm): 286898.5804237363\n", "\n", "Standard errors: [0.03685101 0.0965584 0.31794483 2.31555612 0.02148497]\n", "\n", "95% Wald CIs:\n", "p_ae : 0.0862 (0.0140, 0.1584)\n", "ae_shape : 0.3054 (0.1161, 0.4947)\n", "ae_scale : 2.3279 (1.7047, 2.9511)\n", "nc_shape : 12.0000 (7.4615, 16.5385)\n", "nc_scale : 0.1090 (0.0669, 0.1511)\n" ] } ], "source": [ "import numpy as np\n", "from scipy.stats import lognorm, gamma\n", "import numpy.linalg as LA\n", "\n", "\n", "eps = 1e-12\n", "\n", "# ----- Step 3a: Unpenalized NLL -----\n", "def nll_joint_lognorm_gamma(params, X_ae, X_nc):\n", " \"\"\"\n", " Joint negative log-likelihood for AE=lognormal, NC=gamma, estimating P_AE.\n", " params = [p_ae, ae_shape, ae_scale, nc_shape, nc_scale]\n", " \"\"\"\n", " p_ae, ae_shape, ae_scale, nc_shape, nc_scale = params\n", " if not (0 < p_ae < 1):\n", " return np.inf\n", "\n", " ll_ae = np.sum(np.log(p_ae * lognorm.pdf(X_ae, ae_shape, loc=0, scale=ae_scale) + eps))\n", " ll_nc = np.sum(np.log((1 - p_ae) * gamma.pdf(X_nc, nc_shape, loc=0, scale=nc_scale) + eps))\n", " return -(ll_ae + ll_nc)\n", "\n", "# ----- Step 3a: Numerical Hessian -----\n", "def numerical_hessian(f, theta, rel_step=1e-4, *f_args):\n", " \"\"\"\n", " Symmetric finite-difference approximation to Hessian of scalar function f at theta.\n", " \"\"\"\n", " theta = np.asarray(theta, dtype=float)\n", " k = len(theta)\n", " H = np.zeros((k, k))\n", " h = rel_step * np.maximum(1.0, np.abs(theta))\n", "\n", " f0 = f(theta, *f_args)\n", " for i in range(k):\n", " ei = np.zeros(k); ei[i] = 1.0\n", " for j in range(i, k):\n", " ej = np.zeros(k); ej[j] = 1.0\n", " if i == j:\n", " fpp = f(theta + h[i]*ei, *f_args)\n", " fmm = f(theta - h[i]*ei, *f_args)\n", " H[i,i] = (fpp - 2*f0 + fmm) / (h[i]**2)\n", " else:\n", " fpp = f(theta + h[i]*ei + h[j]*ej, *f_args)\n", " fpm = f(theta + h[i]*ei - h[j]*ej, *f_args)\n", " fmp = f(theta - h[i]*ei + h[j]*ej, *f_args)\n", " fmm = f(theta - h[i]*ei - h[j]*ej, *f_args)\n", " H[i,j] = H[j,i] = (fpp - fpm - fmp + fmm) / (4*h[i]*h[j])\n", " return H\n", "\n", "# -------------------------\n", "# Your fitted parameters from the overlap-penalty fit\n", "# -------------------------\n", "theta_hat = np.array([0.0862, 0.3054, 2.3279, 12.0, 0.1090])\n", "\n", "# -------------------------\n", "# Step 3: Hessian check\n", "# -------------------------\n", "H = numerical_hessian(nll_joint_lognorm_gamma, theta_hat, 1e-4, X_ae, X_nc)\n", "\n", "eigvals = LA.eigvalsh(H)\n", "print(\"Hessian eigenvalues:\", eigvals)\n", "print(\"Positive definite?\", np.all(eigvals > 0))\n", "print(\"Condition number (2-norm):\", LA.cond(H))\n", "\n", "# If PD, we can invert for covariance and SEs\n", "if np.all(eigvals > 0):\n", " cov_matrix = LA.inv(H)\n", " se = np.sqrt(np.diag(cov_matrix))\n", " print(\"\\nStandard errors:\", se)\n", " z = 1.96\n", " ci_lower = theta_hat - z*se\n", " ci_upper = theta_hat + z*se\n", " print(\"\\n95% Wald CIs:\")\n", " for name, est, low, up in zip(\n", " [\"p_ae\", \"ae_shape\", \"ae_scale\", \"nc_shape\", \"nc_scale\"],\n", " theta_hat, ci_lower, ci_upper\n", " ):\n", " print(f\"{name:10s}: {est:.4f} ({low:.4f}, {up:.4f})\")\n", "else:\n", " print(\"Hessian not PD → Wald CIs not reliable, consider bootstrap.\")\n" ] }, { "cell_type": "code", "execution_count": null, "id": "11c006af", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "=== Penalized fit (used for init) ===\n", "p_ae = 0.086207\n", "ae_shape = 0.305437\n", "ae_scale = 2.327863\n", "nc_shape = 12.000000\n", "nc_scale = 0.108968\n", "Unpenalized LLF @ penalized params: -30.397033\n", "Overlap: 0.299\n", "\n", "=== Unpenalized fit (true MLE for LLF) ===\n", "p_ae = 0.086207\n", "ae_shape = 0.305437\n", "ae_scale = 2.327863\n", "nc_shape = 12.000000\n", "nc_scale = 0.108968\n", "Unpenalized LLF @ unpenalized params: -30.397033\n", "Overlap: 0.299\n", "\n", "LLF improvement (unpen - pen): 2.7569058147491887e-12\n", "\n", "Hessian rel_step=0.0001 → PD? True minEig=1.891e-01 maxEig=5.357e+04\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy.stats import lognorm, gamma\n", "from scipy.optimize import minimize\n", "import numpy.linalg as LA\n", "import matplotlib.pyplot as plt\n", "\n", "\n", "# Safety\n", "assert 'X_ae' in globals() and 'X_nc' in globals(), \"Please define X_ae and X_nc first.\"\n", "\n", "x_grid = np.linspace(0, 8, 1000)\n", "x_vals = np.linspace(0, 8, 500)\n", "eps = 1e-12\n", "\n", "# Penalized NLL (your original)\n", "def neg_ll_with_overlap_penalty(params, lam=50.0, target_overlap=0.10):\n", " p_ae, ae_shape, ae_scale, nc_shape, nc_scale = params\n", " if not (0 < p_ae < 1): # keep prior valid\n", " return np.inf\n", "\n", " # Joint (unpenalized) NLL part\n", " ll_ae = np.sum(np.log(p_ae * lognorm.pdf(X_ae, ae_shape, loc=0, scale=ae_scale) + eps))\n", " ll_nc = np.sum(np.log((1 - p_ae) * gamma.pdf(X_nc, nc_shape, loc=0, scale=nc_scale) + eps))\n", " nll = -(ll_ae + ll_nc)\n", "\n", " # Overlap penalty to encourage S-shape\n", " f_ae_grid = lognorm.pdf(x_grid, ae_shape, loc=0, scale=ae_scale)\n", " f_nc_grid = gamma.pdf(x_grid, nc_shape, loc=0, scale=nc_scale)\n", " overlap = np.trapz(np.minimum(f_ae_grid, f_nc_grid), x_grid)\n", " penalty = lam * max(0.0, (target_overlap - overlap))**2\n", " return nll + penalty\n", "\n", "# Pure (unpenalized) NLL\n", "def unpenalized_nll(params):\n", " p_ae, ae_shape, ae_scale, nc_shape, nc_scale = params\n", " if not (0 < p_ae < 1):\n", " return np.inf\n", " ll_ae = np.sum(np.log(p_ae * lognorm.pdf(X_ae, ae_shape, loc=0, scale=ae_scale) + eps))\n", " ll_nc = np.sum(np.log((1 - p_ae) * gamma.pdf(X_nc, nc_shape, loc=0, scale=nc_scale) + eps))\n", " return -(ll_ae + ll_nc)\n", "\n", "# Posterior function\n", "def posterior_prob(x, params):\n", " p_ae, ae_shape, ae_scale, nc_shape, nc_scale = params\n", " f_ae = lognorm.pdf(x, ae_shape, loc=0, scale=ae_scale)\n", " f_nc = gamma.pdf(x, nc_shape, loc=0, scale=nc_scale)\n", " return (p_ae * f_ae) / (p_ae * f_ae + (1 - p_ae) * f_nc + eps)\n", "\n", "# Overlap utility\n", "def overlap_value(params):\n", " p_ae, ae_shape, ae_scale, nc_shape, nc_scale = np.asarray(params)[:5]\n", " f_ae_grid = lognorm.pdf(x_grid, ae_shape, loc=0, scale=ae_scale)\n", " f_nc_grid = gamma.pdf(x_grid, nc_shape, loc=0, scale=nc_scale)\n", " return np.trapz(np.minimum(f_ae_grid, f_nc_grid), x_grid)\n", "\n", "# Numerical Hessian (symmetric finite differences)\n", "def numerical_hessian(f, theta, rel_step=1e-4, *f_args):\n", " theta = np.asarray(theta, dtype=float)\n", " k = len(theta)\n", " H = np.zeros((k, k))\n", " h = rel_step * np.maximum(1.0, np.abs(theta))\n", " f0 = f(theta, *f_args)\n", " for i in range(k):\n", " ei = np.zeros(k); ei[i] = 1.0\n", " for j in range(i, k):\n", " ej = np.zeros(k); ej[j] = 1.0\n", " if i == j:\n", " fpp = f(theta + h[i]*ei, *f_args)\n", " fmm = f(theta - h[i]*ei, *f_args)\n", " H[i,i] = (fpp - 2*f0 + fmm) / (h[i]**2)\n", " else:\n", " fpp = f(theta + h[i]*ei + h[j]*ej, *f_args)\n", " fpm = f(theta + h[i]*ei - h[j]*ej, *f_args)\n", " fmp = f(theta - h[i]*ei + h[j]*ej, *f_args)\n", " fmm = f(theta - h[i]*ei - h[j]*ej, *f_args)\n", " H[i,j] = H[j,i] = (fpp - fpm - fmp + fmm) / (4*h[i]*h[j])\n", " return H\n", "\n", "# -------------------------\n", "# 2) FITS: Penalized then Unpenalized\n", "# -------------------------\n", "init = np.array([0.10, 0.6, 1.8, 6.0, 0.15])\n", "bounds = [\n", " (1e-3, 1-1e-3), # p_ae\n", " (0.20, 1.50), # ae_shape\n", " (0.8, 3.5), # ae_scale\n", " (2.0, 12.0), # nc_shape\n", " (0.03, 0.50), # nc_scale\n", "]\n", "\n", "res_pen = minimize(neg_ll_with_overlap_penalty, init, bounds=bounds)\n", "params_pen = np.array(res_pen.x, dtype=float)\n", "\n", "res_unpen = minimize(unpenalized_nll, params_pen, bounds=bounds)\n", "params_unpen = np.array(res_unpen.x, dtype=float)\n", "\n", "# LLFs and overlap\n", "llf_pen_unpen = -unpenalized_nll(params_pen) # unpenalized LLF evaluated at penalized params\n", "llf_unpen = -unpenalized_nll(params_unpen) # unpenalized LLF at unpenalized MLE\n", "\n", "overlap_pen = overlap_value(params_pen)\n", "overlap_unpen = overlap_value(params_unpen)\n", "\n", "names = [\"p_ae\", \"ae_shape\", \"ae_scale\", \"nc_shape\", \"nc_scale\"]\n", "print(\"\\n=== Penalized fit (used for init) ===\")\n", "for n, v in zip(names, params_pen):\n", " print(f\"{n:10s} = {v:.6f}\")\n", "print(f\"Unpenalized LLF @ penalized params: {llf_pen_unpen:.6f}\")\n", "print(f\"Overlap: {overlap_pen:.3f}\")\n", "\n", "print(\"\\n=== Unpenalized fit (true MLE for LLF) ===\")\n", "for n, v in zip(names, params_unpen):\n", " print(f\"{n:10s} = {v:.6f}\")\n", "print(f\"Unpenalized LLF @ unpenalized params: {llf_unpen:.6f}\")\n", "print(f\"Overlap: {overlap_unpen:.3f}\")\n", "\n", "print(\"\\nLLF improvement (unpen - pen):\", (llf_unpen - llf_pen_unpen))\n", "\n", "# -------------------------\n", "# 3) HESSIAN @ UNPENALIZED MLE + Wald CI for posterior curve\n", "# -------------------------\n", "# Try multiple rel_steps in case of numerical quirks\n", "for rel in (1e-4, 5e-5, 2e-4):\n", " H = numerical_hessian(unpenalized_nll, params_unpen, rel, )\n", " eigvals = LA.eigvalsh(H)\n", " is_pd = np.all(eigvals > 0)\n", " print(f\"\\nHessian rel_step={rel:g} → PD? {is_pd} minEig={eigvals.min():.3e} maxEig={eigvals.max():.3e}\")\n", " if is_pd:\n", " break\n", "\n", "if not is_pd:\n", " # small ridge for numerical stability\n", " ridge = 1e-6\n", " print(f\"Adding ridge {ridge} to Hessian for inversion safety.\")\n", " H = H + np.eye(len(H))*ridge\n", "\n", "cov = LA.inv(H)\n", "\n", "# Posterior at MLE (unpenalized)\n", "posterior_mle = posterior_prob(x_vals, params_unpen)\n", "\n", "# Delta-method CI for posterior\n", "z = 1.96\n", "ci_lower, ci_upper = [], []\n", "step = 1e-5\n", "for x in x_vals:\n", " grad = np.zeros(len(params_unpen))\n", " for i in range(len(params_unpen)):\n", " d = np.zeros(len(params_unpen)); d[i] = step\n", " g_plus = posterior_prob(x, params_unpen + d)\n", " g_minus = posterior_prob(x, params_unpen - d)\n", " grad[i] = (g_plus - g_minus) / (2*step)\n", " var_post = grad @ cov @ grad\n", " se_post = np.sqrt(max(var_post, 0.0))\n", " m = posterior_prob(x, params_unpen)\n", " ci_lower.append(max(0.0, m - z*se_post))\n", " ci_upper.append(min(1.0, m + z*se_post))\n", "\n", "# -------------------------\n", "# 4) PLOTS: PDFs + Posterior + 95% CI band\n", "# -------------------------\n", "f_ae = lognorm.pdf(x_vals, params_unpen[1], loc=0, scale=params_unpen[2])\n", "f_nc = gamma.pdf(x_vals, params_unpen[3], loc=0, scale=params_unpen[4])\n", "\n", "plt.figure(figsize=(10,7))\n", "plt.plot(x_vals, f_ae, label='Lognormal PDF (AE)')\n", "plt.plot(x_vals, f_nc, label='Gamma PDF (NC)')\n", "plt.plot(x_vals, posterior_mle, label='Posterior P(AE|x)', color='purple')\n", "plt.fill_between(x_vals, ci_lower, ci_upper, color='purple', alpha=0.2, label='95% Wald CI')\n", "plt.scatter(X_ae, np.ones_like(X_ae), marker='o', label='AE samples (flag=1)')\n", "plt.scatter(X_nc, np.zeros_like(X_nc), marker='x', label='NC samples (flag=0)')\n", "plt.xlabel('SUV'); plt.ylabel('Density / Probability')\n", "plt.title('Unpenalized MLE fit: PDFs and Posterior with 95% Wald CI')\n", "plt.ylim(-0.1, 1.1); plt.grid(True); plt.legend(); plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "0fbc0dc3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "=== Penalized fit with strong overlap (target 0.40) ===\n", "p_ae = 0.086207\n", "ae_shape = 0.333258\n", "ae_scale = 2.199523\n", "nc_shape = 12.000000\n", "nc_scale = 0.109403\n", "Unpenalized LLF @ penalized params: -30.510364\n", "Overlap: 0.371\n" ] } ], "source": [ "# Force penalty to be active\n", "def neg_ll_with_overlap_penalty_strong(params, lam=50.0, target_overlap=0.40):\n", " p_ae, ae_shape, ae_scale, nc_shape, nc_scale = params\n", " if not (0 < p_ae < 1):\n", " return np.inf\n", "\n", " ll_ae = np.sum(np.log(p_ae * lognorm.pdf(X_ae, ae_shape, loc=0, scale=ae_scale) + eps))\n", " ll_nc = np.sum(np.log((1 - p_ae) * gamma.pdf(X_nc, nc_shape, loc=0, scale=nc_scale) + eps))\n", " nll = -(ll_ae + ll_nc)\n", "\n", " f_ae_grid = lognorm.pdf(x_grid, ae_shape, loc=0, scale=ae_scale)\n", " f_nc_grid = gamma.pdf(x_grid, nc_shape, loc=0, scale=nc_scale)\n", " overlap = np.trapz(np.minimum(f_ae_grid, f_nc_grid), x_grid)\n", " penalty = lam * max(0.0, (target_overlap - overlap))**2\n", " return nll + penalty\n", "\n", "# Penalized fit with strong overlap requirement\n", "res_pen_strong = minimize(neg_ll_with_overlap_penalty_strong, init, bounds=bounds)\n", "params_pen_strong = np.array(res_pen_strong.x)\n", "\n", "# LLFs & overlap\n", "llf_pen_strong_unpen = -unpenalized_nll(params_pen_strong)\n", "overlap_pen_strong = overlap_value(params_pen_strong)\n", "\n", "print(\"\\n=== Penalized fit with strong overlap (target 0.40) ===\")\n", "for n, v in zip(names, params_pen_strong):\n", " print(f\"{n:10s} = {v:.6f}\")\n", "print(f\"Unpenalized LLF @ penalized params: {llf_pen_strong_unpen:.6f}\")\n", "print(f\"Overlap: {overlap_pen_strong:.3f}\")\n" ] }, { "cell_type": "code", "execution_count": null, "id": "49a2b7ed", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Δ (strong - unpenalized):\n", "p_ae : +0.000000\n", "ae_shape : +0.027820\n", "ae_scale : -0.128340\n", "nc_shape : +0.000000\n", "nc_scale : +0.000436\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Helper\n", "def posterior_prob(x, p):\n", " p_ae, ae_shape, ae_scale, nc_shape, nc_scale = p\n", " f_ae = lognorm.pdf(x, ae_shape, loc=0, scale=ae_scale)\n", " f_nc = gamma.pdf(x, nc_shape, loc=0, scale=nc_scale)\n", " return (p_ae * f_ae) / (p_ae * f_ae + (1 - p_ae) * f_nc + 1e-12)\n", "\n", "# Choose params\n", "p_nat = params_unpen # unpenalized MLE\n", "p_mild = params_pen # your original penalty (inactive)\n", "p_str = params_pen_strong # strong-penalty fit\n", "\n", "# Report parameter shifts\n", "names = [\"p_ae\",\"ae_shape\",\"ae_scale\",\"nc_shape\",\"nc_scale\"]\n", "print(\"\\nΔ (strong - unpenalized):\")\n", "for n, a, b in zip(names, p_nat, p_str):\n", " print(f\"{n:10s}: {b - a:+.6f}\")\n", "\n", "# Plot PDFs + posteriors\n", "x_plot = np.linspace(0, 8, 600)\n", "\n", "plt.figure(figsize=(10,7))\n", "# AE PDFs\n", "plt.plot(x_plot, lognorm.pdf(x_plot, p_nat[1], loc=0, scale=p_nat[2]), label='AE PDF (unpen)', ls='-')\n", "plt.plot(x_plot, lognorm.pdf(x_plot, p_str[1], loc=0, scale=p_str[2]), label='AE PDF (strong pen)', ls='--')\n", "# NC PDFs\n", "plt.plot(x_plot, gamma.pdf(x_plot, p_nat[3], loc=0, scale=p_nat[4]), label='NC PDF (unpen)', ls='-')\n", "plt.plot(x_plot, gamma.pdf(x_plot, p_str[3], loc=0, scale=p_str[4]), label='NC PDF (strong pen)', ls='--')\n", "\n", "# Posteriors\n", "plt.plot(x_plot, posterior_prob(x_plot, p_nat), color='purple', label='Posterior (unpen)', lw=2)\n", "plt.plot(x_plot, posterior_prob(x_plot, p_str), color='purple', ls='--', label='Posterior (strong pen)', lw=2)\n", "\n", "plt.scatter(X_ae, np.ones_like(X_ae), marker='o', label='AE samples', alpha=0.6)\n", "plt.scatter(X_nc, np.zeros_like(X_nc), marker='x', label='NC samples', alpha=0.6)\n", "\n", "plt.xlabel('SUV'); plt.ylabel('Density / Probability')\n", "plt.title('Effect of overlap penalty on PDFs and posterior')\n", "plt.ylim(-0.1, 1.1); plt.grid(True); plt.legend(); plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "674ca9f6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Decision threshold (unpen): 2.3200151813355325\n", "Decision threshold (strong pen): 2.3562790606536557\n", "Shift: 0.03626387931812314\n" ] } ], "source": [ "from scipy.optimize import brentq\n", "\n", "def posterior(x, p):\n", " pae, aesh, aesc, ncsh, ncsc = p\n", " fae = lognorm.pdf(x, aesh, loc=0, scale=aesc)\n", " fnc = gamma.pdf(x, ncsh, loc=0, scale=ncsc)\n", " return (pae*fae) / (pae*fae + (1-pae)*fnc + 1e-12)\n", "\n", "def threshold(params, lo=1e-6, hi=8.0):\n", " f = lambda x: posterior(x, params) - 0.5\n", " return brentq(f, lo, hi)\n", "\n", "x_star_unpen = threshold(params_unpen)\n", "x_star_pen = threshold(params_pen_strong)\n", "print(\"Decision threshold (unpen):\", x_star_unpen)\n", "print(\"Decision threshold (strong pen):\", x_star_pen)\n", "print(\"Shift:\", x_star_pen - x_star_unpen)\n" ] }, { "cell_type": "code", "execution_count": null, "id": "0efc0c5d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot posterior curves with decision thresholds\n", "plt.figure(figsize=(10,6))\n", "\n", "# Posterior curves\n", "plt.plot(x_vals, posterior_prob(x_vals, params_unpen), label='Posterior (unpen)', color='blue')\n", "plt.plot(x_vals, posterior_prob(x_vals, params_pen_strong), label='Posterior (strong pen)', color='red', ls='--')\n", "\n", "# Mark thresholds\n", "plt.axvline(x_star_unpen, color='blue', ls=':', lw=2, label=f'Threshold unpen ({x_star_unpen:.3f})')\n", "plt.axvline(x_star_pen, color='red', ls=':', lw=2, label=f'Threshold strong pen ({x_star_pen:.3f})')\n", "\n", "# Formatting\n", "plt.xlabel('SUV')\n", "plt.ylabel('Posterior P(AE|x)')\n", "plt.title('Posterior curves and decision thresholds')\n", "plt.ylim(-0.05, 1.05)\n", "plt.grid(True)\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "1d6fe169", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Unpenalized MLE params:\n", " p_ae = 0.086210\n", " ae_shape = 0.305420\n", " ae_scale = 2.327849\n", " nc_shape = 27.827809\n", " nc_scale = 0.046989\n", "Joint LLF (unpenalized): -23.061237\n", "Hessian rel_step=0.0001 → PD? True minEig=3.465e-02, maxEig=6.680e+05\n", "\n", "Wald (Hessian) 95% CIs:\n", "p_ae : 0.086210 ± 0.072235 → (0.013974, 0.158445)\n", "ae_shape : 0.305420 ± 0.189285 → (0.116135, 0.494704)\n", "ae_scale : 2.327849 ± 0.623191 → (1.704658, 2.951040)\n", "nc_shape : 27.827809 ± 10.528851 → (17.298958, 38.356660)\n", "nc_scale : 0.046989 ± 0.017939 → (0.029050, 0.064929)\n", "\n", "Bootstrap replicates kept: 500 / 500\n", "\n", "Bootstrap (percentile) 95% CIs:\n", "p_ae : 0.086210 → (0.001000, 0.086215)\n", "ae_shape : 0.305420 → (0.001000, 0.395438)\n", "ae_scale : 2.327849 → (1.855486, 3.022674)\n", "nc_shape : 27.827809 → (16.662716, 49.579476)\n", "nc_scale : 0.046989 → (0.025895, 0.080811)\n", "\n", "SE comparison (Wald vs. Bootstrap SD):\n", "p_ae : Wald=0.036855 | Boot=0.029970\n", "ae_shape : Wald=0.096574 | Boot=0.147528\n", "ae_scale : Wald=0.317955 | Boot=0.289807\n", "nc_shape : Wald=5.371863 | Boot=9.154435\n", "nc_scale : Wald=0.009153 | Boot=0.014328\n" ] } ], "source": [ "import numpy as np\n", "from scipy.stats import lognorm, gamma\n", "from scipy.optimize import minimize\n", "import numpy.linalg as LA\n", "\n", "# -------------------------\n", "# YOUR DATA (fill these!)\n", "# -------------------------\n", "# X_ae = np.array([...])\n", "# X_nc = np.array([...])\n", "assert 'X_ae' in globals() and 'X_nc' in globals(), \"Please define X_ae and X_nc first.\"\n", "\n", "# -------------------------\n", "# Model pieces\n", "# -------------------------\n", "eps = 1e-12\n", "names = [\"p_ae\", \"ae_shape\", \"ae_scale\", \"nc_shape\", \"nc_scale\"]\n", "bounds = [\n", " (1e-3, 1-1e-3), # p_ae\n", " (1e-3, None), # ae_shape (LN sigma)\n", " (1e-3, None), # ae_scale\n", " (1e-3, None), # nc_shape (Gamma k)\n", " (1e-3, None), # nc_scale (Gamma theta)\n", "]\n", "\n", "def nll_unpen(params, X_ae, X_nc):\n", " p_ae, ae_shape, ae_scale, nc_shape, nc_scale = params\n", " if not (0 < p_ae < 1): # prior must be valid\n", " return np.inf\n", " ll_ae = np.sum(np.log(p_ae * lognorm.pdf(X_ae, ae_shape, loc=0, scale=ae_scale) + eps))\n", " ll_nc = np.sum(np.log((1 - p_ae) * gamma.pdf( X_nc, nc_shape, loc=0, scale=nc_scale) + eps))\n", " return -(ll_ae + ll_nc)\n", "\n", "def fit_mle_unpen(X_ae, X_nc, init=None):\n", " if init is None:\n", " # simple, broad init\n", " init = np.array([\n", " len(X_ae) / (len(X_ae) + len(X_nc)), # p_ae\n", " 0.5, 2.0, # ae_shape, ae_scale\n", " 5.0, 0.2 # nc_shape, nc_scale\n", " ], dtype=float)\n", " res = minimize(nll_unpen, init, args=(X_ae, X_nc), bounds=bounds)\n", " if not res.success:\n", " raise RuntimeError(f\"MLE failed: {res.message}\")\n", " return res.x, -nll_unpen(res.x, X_ae, X_nc)\n", "\n", "def numerical_hessian(f, theta, rel_step, *f_args):\n", " theta = np.asarray(theta, dtype=float)\n", " k = len(theta)\n", " H = np.zeros((k, k))\n", " h = rel_step * np.maximum(1.0, np.abs(theta))\n", " f0 = f(theta, *f_args)\n", " for i in range(k):\n", " ei = np.zeros(k); ei[i] = 1.0\n", " for j in range(i, k):\n", " ej = np.zeros(k); ej[j] = 1.0\n", " if i == j:\n", " fpp = f(theta + h[i]*ei, *f_args)\n", " fmm = f(theta - h[i]*ei, *f_args)\n", " H[i,i] = (fpp - 2*f0 + fmm) / (h[i]**2)\n", " else:\n", " fpp = f(theta + h[i]*ei + h[j]*ej, *f_args)\n", " fpm = f(theta + h[i]*ei - h[j]*ej, *f_args)\n", " fmp = f(theta - h[i]*ei + h[j]*ej, *f_args)\n", " fmm = f(theta - h[i]*ei - h[j]*ej, *f_args)\n", " H[i,j] = H[j,i] = (fpp - fpm - fmp + fmm) / (4*h[i]*h[j])\n", " return H\n", "\n", "# -------------------------\n", "# 1) Unpenalized MLE\n", "# -------------------------\n", "theta_hat, llf_hat = fit_mle_unpen(X_ae, X_nc)\n", "print(\"Unpenalized MLE params:\")\n", "for n, v in zip(names, theta_hat):\n", " print(f\" {n:10s} = {v:.6f}\")\n", "print(f\"Joint LLF (unpenalized): {llf_hat:.6f}\")\n", "\n", "# -------------------------\n", "# 2) Wald (Hessian-based) CIs\n", "# -------------------------\n", "# Try a couple step sizes for stability\n", "for rel in (1e-4, 5e-5, 2e-4):\n", " H = numerical_hessian(nll_unpen, theta_hat, rel, X_ae, X_nc)\n", " eig = LA.eigvalsh(H)\n", " is_pd = np.all(eig > 0)\n", " print(f\"Hessian rel_step={rel:g} → PD? {is_pd} minEig={eig.min():.3e}, maxEig={eig.max():.3e}\")\n", " if is_pd:\n", " break\n", "\n", "if not is_pd:\n", " # small ridge to stabilize inversion (numerical)\n", " ridge = 1e-6\n", " H = H + np.eye(len(H))*ridge\n", " print(f\"Added ridge {ridge} to Hessian for inversion.\")\n", "\n", "cov = LA.inv(H)\n", "se = np.sqrt(np.diag(cov))\n", "z = 1.96\n", "wald_ci = np.c_[theta_hat - z*se, theta_hat + z*se]\n", "\n", "print(\"\\nWald (Hessian) 95% CIs:\")\n", "for n, est, lo, hi, s in zip(names, theta_hat, wald_ci[:,0], wald_ci[:,1], se):\n", " print(f\"{n:10s}: {est:.6f} ± {1.96*s:.6f} → ({lo:.6f}, {hi:.6f})\")\n", "\n", "# -------------------------\n", "# 3) Bootstrap (percentile) CIs\n", "# -------------------------\n", "rng = np.random.default_rng(12345)\n", "\n", "def bootstrap_once(X_ae, X_nc, init_theta=None):\n", " n_ae, n_nc = len(X_ae), len(X_nc)\n", " # resample WITH replacement within each group\n", " X_ae_b = X_ae[rng.integers(0, n_ae, size=n_ae)]\n", " X_nc_b = X_nc[rng.integers(0, n_nc, size=n_nc)]\n", " # use last theta as init (speeds convergence)\n", " theta_b, _ = fit_mle_unpen(X_ae_b, X_nc_b, init=init_theta)\n", " return theta_b\n", "\n", "B = 500 # start with 300–500; bump to 1000+ for final results\n", "boot = np.zeros((B, len(theta_hat)))\n", "init_theta = theta_hat.copy()\n", "for b in range(B):\n", " try:\n", " boot[b] = bootstrap_once(X_ae, X_nc, init_theta)\n", " init_theta = boot[b] # warm start next fit\n", " except Exception as e:\n", " # on failure, keep previous init and skip (rare)\n", " boot[b] = np.nan\n", "\n", "boot = boot[~np.isnan(boot).any(axis=1)]\n", "print(f\"\\nBootstrap replicates kept: {len(boot)} / {B}\")\n", "\n", "pct = [2.5, 97.5]\n", "boot_ci = np.percentile(boot, pct, axis=0).transpose() # shape (5,2)\n", "\n", "print(\"\\nBootstrap (percentile) 95% CIs:\")\n", "for n, est, (lo, hi) in zip(names, theta_hat, boot_ci):\n", " print(f\"{n:10s}: {est:.6f} → ({lo:.6f}, {hi:.6f})\")\n", "\n", "# -------------------------\n", "# 4) (Optional) Quick sanity comparison of SEs\n", "# -------------------------\n", "boot_se = np.nanstd(boot, axis=0, ddof=1)\n", "print(\"\\nSE comparison (Wald vs. Bootstrap SD):\")\n", "for n, s_w, s_b in zip(names, se, boot_se):\n", " print(f\"{n:10s}: Wald={s_w:.6f} | Boot={s_b:.6f}\")\n" ] }, { "cell_type": "code", "execution_count": null, "id": "a53192b3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Bootstrap replicates kept: 500 / 500\n", "LLF range across bootstraps: -161.232 → 3.575\n", "LLF mean ± SD: -41.302 ± 41.891\n", "Observed LLF (full data): -23.061\n" ] } ], "source": [ "# --- put these before the loop ---\n", "B = 500 # or 1000+\n", "boot = np.zeros((B, len(theta_hat)))\n", "boot_llf = np.zeros(B) # <-- store LLF here\n", "init_theta = theta_hat.copy()\n", "rng = np.random.default_rng(12345)\n", "\n", "# --- replace your bootstrap loop with this version ---\n", "for b in range(B):\n", " try:\n", " # resample WITH replacement within each group\n", " n_ae, n_nc = len(X_ae), len(X_nc)\n", " X_ae_b = X_ae[rng.integers(0, n_ae, size=n_ae)]\n", " X_nc_b = X_nc[rng.integers(0, n_nc, size=n_nc)]\n", "\n", " # fit unpenalized MLE on the bootstrap sample\n", " theta_b, llf_b = fit_mle_unpen(X_ae_b, X_nc_b, init=init_theta)\n", " boot[b] = theta_b\n", " boot_llf[b] = llf_b # <-- capture LLF\n", "\n", " init_theta = theta_b # warm-start next fit\n", " except Exception:\n", " boot[b] = np.nan\n", " boot_llf[b] = np.nan\n", "\n", "# drop failed reps\n", "mask = ~np.isnan(boot).any(axis=1)\n", "boot = boot[mask]\n", "boot_llf = boot_llf[mask]\n", "\n", "# show LLF stats\n", "print(f\"Bootstrap replicates kept: {len(boot)} / {B}\")\n", "print(f\"LLF range across bootstraps: {boot_llf.min():.3f} → {boot_llf.max():.3f}\")\n", "print(f\"LLF mean ± SD: {boot_llf.mean():.3f} ± {boot_llf.std():.3f}\")\n", "print(f\"Observed LLF (full data): {llf_hat:.3f}\")\n" ] }, { "cell_type": "code", "execution_count": null, "id": "50c61382", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "=== Unpenalized MLE parameters ===\n", "p_ae = 0.086207\n", "ae_shape = 0.305437\n", "ae_scale = 2.327863\n", "nc_shape = 12.000000\n", "nc_scale = 0.108968\n", "Unpenalized LLF: -30.397033\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import numpy.linalg as LA\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import lognorm, gamma\n", "from scipy.optimize import minimize\n", "\n", "# -------------------------\n", "# 0) Inputs & setup\n", "# -------------------------\n", "# Expect X_ae and X_nc to be defined in your session\n", "\n", "\n", "eps = 1e-12\n", "x_vals = np.linspace(0, 8, 500) # grid for PDFs/posterior/CI\n", "\n", "# Parameter names and bounds\n", "names = [\"p_ae\", \"ae_shape\", \"ae_scale\", \"nc_shape\", \"nc_scale\"]\n", "bounds = [\n", " (1e-3, 1-1e-3), # p_ae\n", " (0.20, 1.50), # ae_shape\n", " (0.8, 3.5), # ae_scale\n", " (2.0, 12.0), # nc_shape\n", " (0.03, 0.50), # nc_scale\n", "]\n", "init = np.array([0.10, 0.60, 1.80, 6.0, 0.15], dtype=float)\n", "\n", "# -------------------------\n", "# 1) Unpenalized negative log-likelihood\n", "# -------------------------\n", "def unpenalized_nll(theta):\n", " p_ae, ae_shape, ae_scale, nc_shape, nc_scale = theta\n", " if not (0 < p_ae < 1):\n", " return np.inf\n", " ll_ae = np.sum(np.log(p_ae * lognorm.pdf(X_ae, ae_shape, loc=0, scale=ae_scale) + eps))\n", " ll_nc = np.sum(np.log((1 - p_ae) * gamma.pdf(X_nc, nc_shape, loc=0, scale=nc_scale) + eps))\n", " return -(ll_ae + ll_nc)\n", "\n", "# -------------------------\n", "# 2) Fit: unpenalized MLE\n", "# -------------------------\n", "res = minimize(unpenalized_nll, init, bounds=bounds, method=\"L-BFGS-B\")\n", "if not res.success:\n", " raise RuntimeError(f\"MLE failed: {res.message}\")\n", "\n", "params_unpen = np.array(res.x, dtype=float)\n", "llf_unpen = -unpenalized_nll(params_unpen)\n", "\n", "print(\"=== Unpenalized MLE parameters ===\")\n", "for n, v in zip(names, params_unpen):\n", " print(f\"{n:10s} = {v:.6f}\")\n", "print(f\"Unpenalized LLF: {llf_unpen:.6f}\")\n", "\n", "# -------------------------\n", "# 3) Posterior and helper functions\n", "# -------------------------\n", "def posterior_prob(x, theta):\n", " p_ae, ae_shape, ae_scale, nc_shape, nc_scale = theta\n", " f_ae = lognorm.pdf(x, ae_shape, loc=0, scale=ae_scale)\n", " f_nc = gamma.pdf(x, nc_shape, loc=0, scale=nc_scale)\n", " return (p_ae * f_ae) / (p_ae * f_ae + (1 - p_ae) * f_nc + eps)\n", "\n", "# -------------------------\n", "# 4) Numerical Hessian @ MLE and delta-method CI for posterior\n", "# -------------------------\n", "def numerical_hessian(f, theta, rel_step=1e-4):\n", " theta = np.asarray(theta, dtype=float)\n", " k = len(theta)\n", " H = np.zeros((k, k))\n", " h = rel_step * np.maximum(1.0, np.abs(theta))\n", " f0 = f(theta)\n", " for i in range(k):\n", " ei = np.zeros(k); ei[i] = 1.0\n", " for j in range(i, k):\n", " ej = np.zeros(k); ej[j] = 1.0\n", " if i == j:\n", " fpp = f(theta + h[i]*ei)\n", " fmm = f(theta - h[i]*ei)\n", " H[i, i] = (fpp - 2*f0 + fmm) / (h[i]**2)\n", " else:\n", " fpp = f(theta + h[i]*ei + h[j]*ej)\n", " fpm = f(theta + h[i]*ei - h[j]*ej)\n", " fmp = f(theta - h[i]*ei + h[j]*ej)\n", " fmm = f(theta - h[i]*ei - h[j]*ej)\n", " H[i, j] = H[j, i] = (fpp - fpm - fmp + fmm) / (4*h[i]*h[j])\n", " return H\n", "\n", "\n", "cov = LA.inv(H)\n", "\n", "# Delta-method pointwise CI for posterior(x)\n", "z = 1.96\n", "posterior_mle = posterior_prob(x_vals, params_unpen)\n", "ci_lower, ci_upper = [], []\n", "step = 1e-5\n", "\n", "for x in x_vals:\n", " grad = np.zeros(len(params_unpen))\n", " for i in range(len(params_unpen)):\n", " d = np.zeros(len(params_unpen)); d[i] = step\n", " g_plus = posterior_prob(x, params_unpen + d)\n", " g_minus = posterior_prob(x, params_unpen - d)\n", " grad[i] = (g_plus - g_minus) / (2*step)\n", " var_post = grad @ cov @ grad\n", " se_post = np.sqrt(max(var_post, 0.0))\n", " m = posterior_prob(x, params_unpen)\n", " ci_lower.append(max(0.0, m - z*se_post))\n", " ci_upper.append(min(1.0, m + z*se_post))\n", "\n", "ci_lower = np.array(ci_lower)\n", "ci_upper = np.array(ci_upper)\n", "\n", "# -------------------------\n", "# 5) Plot PDFs + posterior + CI band\n", "# -------------------------\n", "f_ae = lognorm.pdf(x_vals, params_unpen[1], loc=0, scale=params_unpen[2])\n", "f_nc = gamma.pdf( x_vals, params_unpen[3], loc=0, scale=params_unpen[4])\n", "\n", "plt.figure(figsize=(10,7))\n", "plt.plot(x_vals, f_ae, label='Lognormal PDF (AE)')\n", "plt.plot(x_vals, f_nc, label='Gamma PDF (NC)')\n", "plt.plot(x_vals, posterior_mle, label='Posterior P(AE|x)', linewidth=2)\n", "plt.fill_between(x_vals, ci_lower, ci_upper, alpha=0.25, label='95% Wald CI (Delta-method)')\n", "plt.scatter(X_ae, np.ones_like(X_ae), s=20, label='AE samples (flag=1)')\n", "plt.scatter(X_nc, np.zeros_like(X_nc), s=20, marker='x', label='NC samples (flag=0)')\n", "plt.xlabel('SUV'); plt.ylabel('Density / Probability')\n", "plt.title('Unpenalized MLE: PDFs & Posterior with 95% Delta-method CI')\n", "plt.ylim(-0.1, 1.1); plt.grid(True); plt.legend(); plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "abeccef4", "metadata": {}, "outputs": [ { "data": { "image/png": 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2.08051615e-01 2.12568487e-01\n", " 2.17155763e-01 2.21813444e-01 2.26541481e-01 2.31339772e-01\n", " 2.36208161e-01 2.41146435e-01 2.46154324e-01 2.51231502e-01\n", " 2.56377579e-01 2.61592107e-01 2.66874575e-01 2.72224407e-01\n", " 2.77640963e-01 2.83123539e-01 2.88671365e-01 2.94283602e-01\n", " 2.99959345e-01 3.05697620e-01 3.11497387e-01 3.17357536e-01\n", " 3.23276888e-01 3.29254197e-01 3.35288147e-01 3.41377356e-01\n", " 3.47520374e-01 3.53715684e-01 3.59961704e-01 3.66256786e-01\n", " 3.72599219e-01 3.78987231e-01 3.85418986e-01 3.91892592e-01\n", " 3.98406097e-01 4.04957496e-01 4.11544728e-01 4.18165683e-01\n", " 4.24818201e-01 4.31500077e-01 4.38209061e-01 4.44942863e-01\n", " 4.51699156e-01 4.58475578e-01 4.65269733e-01 4.72079201e-01\n", " 4.78901534e-01 4.85734263e-01 4.92574901e-01 4.99420948e-01\n", " 5.06269891e-01 5.13119211e-01 5.19966386e-01 5.26808892e-01\n", " 5.33644211e-01 5.40469831e-01 5.47283254e-01 5.54081993e-01\n", " 5.60863582e-01 5.67625576e-01 5.74365556e-01 5.81081133e-01\n", " 5.87769947e-01 5.94429677e-01 6.01058039e-01 6.07652790e-01\n", " 6.14211734e-01 6.20732719e-01 6.27213645e-01 6.33652464e-01\n", " 6.40047184e-01 6.46395869e-01 6.52696641e-01 6.58947685e-01\n", " 6.65147248e-01 6.71293642e-01 6.77385242e-01 6.83420494e-01\n", " 6.89397909e-01 6.95316068e-01 7.01173621e-01 7.06969291e-01\n", " 7.12701868e-01 7.18370214e-01 7.23973265e-01 7.29510024e-01\n", " 7.34979567e-01 7.40381040e-01 7.45713660e-01 7.50976712e-01\n", " 7.56169551e-01 7.61291600e-01 7.66342347e-01 7.71321350e-01\n", " 7.76228227e-01 7.81062663e-01 7.85824404e-01 7.90513259e-01\n", " 7.95129092e-01 7.99671829e-01 8.04141451e-01 8.08537992e-01\n", " 8.12861542e-01 8.17112240e-01 8.21290275e-01 8.25395885e-01\n", " 8.29429351e-01 8.33391000e-01 8.37281202e-01 8.41100365e-01\n", " 8.44848938e-01 8.48527405e-01 8.52136285e-01 8.55676131e-01\n", " 8.59147527e-01 8.62551086e-01 8.65887448e-01 8.69157280e-01\n", " 8.72361274e-01 8.75500144e-01 8.78574624e-01 8.81585468e-01\n", " 8.84533448e-01 8.87419353e-01 8.90243986e-01 8.93008163e-01\n", " 8.95712713e-01 8.98358475e-01 9.00946298e-01 9.03477038e-01\n", " 9.05951559e-01 9.08370730e-01 9.10735425e-01 9.13046521e-01\n", " 9.15304899e-01 9.17511440e-01 9.19667025e-01 9.21772537e-01\n", " 9.23828856e-01 9.25836860e-01 9.27797425e-01 9.29711423e-01\n", " 9.31579724e-01 9.33403189e-01 9.35182677e-01 9.36919039e-01\n", " 9.38613122e-01 9.40265763e-01 9.41877793e-01 9.43450036e-01\n", " 9.44983306e-01 9.46478409e-01 9.47936142e-01 9.49357293e-01\n", " 9.50742640e-01 9.52092950e-01 9.53408983e-01 9.54691485e-01\n", " 9.55941194e-01 9.57158838e-01 9.58345130e-01 9.59500778e-01\n", " 9.60626474e-01 9.61722902e-01 9.62790733e-01 9.63830628e-01\n", " 9.64843236e-01 9.65829195e-01 9.66789133e-01 9.67723664e-01\n", " 9.68633393e-01 9.69518914e-01 9.70380808e-01 9.71219646e-01\n", " 9.72035988e-01 9.72830384e-01 9.73603371e-01 9.74355477e-01\n", " 9.75087217e-01 9.75799100e-01 9.76491619e-01 9.77165261e-01\n", " 9.77820499e-01 9.78457799e-01 9.79077616e-01 9.79680395e-01\n", " 9.80266570e-01 9.80836568e-01 9.81390804e-01 9.81929686e-01\n", " 9.82453610e-01 9.82962965e-01 9.83458132e-01 9.83939480e-01\n", " 9.84407372e-01 9.84862162e-01 9.85304195e-01 9.85733809e-01\n", " 9.86151333e-01 9.86557088e-01 9.86951389e-01 9.87334540e-01\n", " 9.87706842e-01 9.88068584e-01 9.88420052e-01 9.88761523e-01\n", " 9.89093267e-01 9.89415548e-01 9.89728623e-01 9.90032743e-01\n", " 9.90328151e-01 9.90615087e-01 9.90893782e-01 9.91164462e-01\n", " 9.91427349e-01 9.91682656e-01 9.91930593e-01 9.92171365e-01\n", " 9.92405169e-01 9.92632199e-01 9.92852643e-01 9.93066685e-01\n", " 9.93274504e-01 9.93476274e-01 9.93672163e-01 9.93862338e-01\n", " 9.94046958e-01 9.94226179e-01 9.94400155e-01 9.94569033e-01\n", " 9.94732956e-01 9.94892067e-01 9.95046499e-01 9.95196388e-01\n", " 9.95341861e-01 9.95483045e-01 9.95620061e-01 9.95753029e-01\n", " 9.95882065e-01 9.96007281e-01 9.96128786e-01 9.96246687e-01\n", " 9.96361088e-01 9.96472089e-01 9.96579788e-01 9.96684280e-01\n", " 9.96785659e-01 9.96884014e-01 9.96979432e-01 9.97071999e-01\n", " 9.97161797e-01 9.97248907e-01 9.97333407e-01 9.97415372e-01\n", " 9.97494878e-01 9.97571995e-01 9.97646793e-01 9.97719341e-01\n", " 9.97789703e-01 9.97857945e-01 9.97924127e-01 9.97988312e-01\n", " 9.98050556e-01 9.98110918e-01 9.98169453e-01 9.98226215e-01\n", " 9.98281256e-01 9.98334626e-01 9.98386376e-01 9.98436553e-01\n", " 9.98485204e-01 9.98532373e-01 9.98578106e-01 9.98622445e-01\n", " 9.98665430e-01 9.98707103e-01 9.98747503e-01 9.98786667e-01\n", " 9.98824632e-01 9.98861434e-01 9.98897108e-01 9.98931688e-01\n", " 9.98965207e-01 9.98997695e-01 9.99029185e-01 9.99059705e-01\n", " 9.99089286e-01 9.99117956e-01 9.99145741e-01 9.99172669e-01\n", " 9.99198765e-01 9.99224055e-01 9.99248563e-01 9.99272312e-01\n", " 9.99295325e-01 9.99317626e-01 9.99339234e-01 9.99360172e-01\n", " 9.99380460e-01 9.99400117e-01 9.99419162e-01 9.99437615e-01\n", " 9.99455493e-01 9.99472814e-01 9.99489594e-01 9.99505851e-01\n", " 9.99521600e-01 9.99536856e-01 9.99551636e-01 9.99565953e-01\n", " 9.99579821e-01 9.99593255e-01 9.99606267e-01 9.99618871e-01\n", " 9.99631079e-01 9.99642904e-01 9.99654356e-01 9.99665448e-01\n", " 9.99676191e-01 9.99686595e-01 9.99696671e-01 9.99706430e-01\n", " 9.99715880e-01 9.99725031e-01 9.99733893e-01 9.99742475e-01]\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.optimize import minimize\n", "from scipy.stats import norm, lognorm, gamma\n", "\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import seaborn as sns\n", "from scipy import stats\n", "import scipy.io as io\n", "\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3]\n", "\n", "rng = np.random.default_rng(1)\n", "\n", "x_grid = np.linspace(0.8, 4.2, 500) # adjust as you like\n", "\n", "bounds = [\n", " (1e-3, 1-1e-3), # p_ae\n", " (0.20, 1.50), # ae_shape\n", " (0.8, 3.5), # ae_scale\n", " (2.0, 12.0), # nc_shape\n", " (0.03, 0.50), # nc_scale\n", "]\n", "\n", "\n", "\n", "def fit_unpenalized_conditional(X_ae_b, X_nc_b, start):\n", " X = np.concatenate([X_ae_b, X_nc_b])\n", " y = np.concatenate([np.ones_like(X_ae_b), np.zeros_like(X_nc_b)])\n", " \n", " def nll(theta):\n", " p, a_s, a_sc, n_s, n_sc = theta\n", " if not (0 < p < 1):\n", " return np.inf\n", " pi = post_curve(X, theta) # posterior probs P(Y=1|x, θ)\n", " return -np.sum(y*np.log(pi + 1e-12) + (1-y)*np.log(1-pi + 1e-12))\n", " \n", " res = minimize(nll, start, bounds=bounds, method=\"L-BFGS-B\")\n", " return res.x if res.success else None\n", "\n", "\n", "theta_hat = params_unpen\n", "post_hat = post_curve(x_grid, theta_hat)\n", "\n", "# ---------- parametric bootstrap ----------\n", "B = 1500 # increase for smoother tails\n", "n_ae, n_nc = len(X_ae), len(X_nc)\n", "boot = []\n", "\n", "for b in range(B):\n", " sim_ae = lognorm(theta_hat[1], scale=theta_hat[2]).rvs(size=n_ae, random_state=rng)\n", " sim_nc = gamma( theta_hat[3], scale=theta_hat[4]).rvs(size=n_nc, random_state=rng)\n", " th_b = fit_unpenalized(sim_ae, sim_nc, theta_hat)\n", " if th_b is None:\n", " continue\n", " boot.append(post_curve(x_grid, th_b))\n", "\n", "boot = np.asarray(boot) # shape: (B_eff, n_x)\n", "B_eff = len(boot)\n", "if B_eff < 50:\n", " raise RuntimeError(\"Too few successful bootstrap fits.\")\n", "\n", "# Jackknife over original data (stratified leave-one-out)\n", "JK = []\n", "for i in range(n_ae):\n", " th_j = fit_unpenalized(np.delete(X_ae, i), X_nc, theta_hat)\n", " JK.append(post_curve(x_grid, th_j))\n", "for j in range(n_nc):\n", " th_j = fit_unpenalized(X_ae, np.delete(X_nc, j), theta_hat)\n", " JK.append(post_curve(x_grid, th_j))\n", "JK = np.asarray(JK) # shape: (n_ae+n_nc, n_x)\n", "\n", "theta_dot = post_hat\n", "# bias-correction z0\n", "z0 = norm.ppf(np.clip((boot < theta_dot).mean(axis=0), 1e-6, 1-1e-6))\n", "\n", "# acceleration a\n", "jk_mean = JK.mean(axis=0, keepdims=True)\n", "u = jk_mean - JK\n", "num = np.sum(u**3, axis=0)\n", "den = 6.0 * (np.sum(u**2, axis=0)**1.5 + 1e-12)\n", "a = np.where(den != 0, num/den, 0.0)\n", "\n", "# adjusted percentile functions on [0,1]\n", "alpha_lo, alpha_hi = 0.025, 0.975\n", "z_lo, z_hi = norm.ppf(alpha_lo), norm.ppf(alpha_hi)\n", "adj_lo = norm.cdf(z0 + (z0 + z_lo)/(1 - a*(z0 + z_lo)))\n", "adj_hi = norm.cdf(z0 + (z0 + z_hi)/(1 - a*(z0 + z_hi)))\n", "adj_lo = np.clip(adj_lo, 1e-6, 1-1e-6)\n", "adj_hi = np.clip(adj_hi, 1e-6, 1-1e-6)\n", "\n", "# ---------- vectorized BCa bounds (1-D outputs) ----------\n", "def bca_bounds_vec(adj_lo, adj_hi):\n", " sorted_boot = np.sort(boot, axis=0) # (B_eff, n_x)\n", " n_x = sorted_boot.shape[1]\n", " cols = np.arange(n_x)\n", " idx_lo = np.clip((adj_lo * (B_eff - 1)).round().astype(int), 0, B_eff - 1)\n", " idx_hi = np.clip((adj_hi * (B_eff - 1)).round().astype(int), 0, B_eff - 1)\n", " lo = sorted_boot[idx_lo, cols]\n", " hi = sorted_boot[idx_hi, cols]\n", " return lo, hi\n", "\n", "ci_lo, ci_hi = bca_bounds_vec(adj_lo, adj_hi)\n", "\n", "# ---------- optional: monotone envelope + clipping ----------\n", "ci_lo = np.maximum.accumulate(ci_lo)\n", "ci_hi = np.maximum(ci_lo, np.minimum.accumulate(ci_hi[::-1])[::-1])\n", "ci_lo = np.clip(ci_lo, 0, 1)\n", "ci_hi = np.clip(ci_hi, 0, 1)\n", "\n", "# ---------- plot ----------\n", "plt.figure(figsize=(10,7))\n", "plt.plot(x_grid, post_hat, 'k', lw=2, label='Posterior (MLE)')\n", "plt.fill_between(x_grid, ci_lo, ci_hi, alpha=0.25, label='BCa bootstrap 95%')\n", "plt.scatter(X_ae, np.ones_like(X_ae), s=24, label='AE')\n", "plt.scatter(X_nc, np.zeros_like(X_nc), s=24, marker='x', label='NC')\n", "plt.ylim(-0.05, 1.05); plt.xlabel('SUV'); plt.ylabel('P(AE|x)')\n", "plt.legend(); plt.grid(True); plt.tight_layout(); plt.show()\n", "\n", "print(post_hat)\n" ] }, { "cell_type": "code", "execution_count": 69, "id": "59feb3e2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.08620688 0.30543699 2.32786328 12. 0.10896755]\n" ] } ], "source": [ "print(theta_hat)" ] }, { "cell_type": "code", "execution_count": 71, "id": "5233f08a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.08620689655172414" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "5/58" ] }, { "cell_type": "code", "execution_count": 62, "id": "a46c89d6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "=== Unpenalized MLE fit ===\n", "p_ae = 0.086207\n", "ae_shape = 0.305437\n", "ae_scale = 2.327863\n", "nc_shape = 12.000000\n", "nc_scale = 0.108968\n", "Log-likelihood (unpenalized): -30.397033\n", "\n", "=== Bootstrap 95% CI for parameters (percentile) ===\n", "p_ae : 0.086207 (95% CI: 0.086193 , 0.086218)\n", "ae_shape : 0.305437 (95% CI: 0.200000 , 0.461170)\n", "ae_scale : 2.327863 (95% CI: 1.748539 , 3.037776)\n", "nc_shape : 12.000000 (95% CI: 8.626701 , 12.000000)\n", "nc_scale : 0.108968 (95% CI: 0.101942 , 0.153091)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import numpy.linalg as LA\n", "import matplotlib.pyplot as plt\n", "from scipy.optimize import minimize\n", "from scipy.stats import norm, lognorm, gamma\n", "\n", "# -------------------------\n", "# 0) Inputs & setup\n", "# -------------------------\n", "assert 'X_ae' in globals() and 'X_nc' in globals(), \"Please define X_ae and X_nc first.\"\n", "\n", "rng = np.random.default_rng(1)\n", "eps = 1e-12\n", "x_grid = np.linspace(0.8, 4.2, 500) # grid for posterior curve / BCa band\n", "\n", "bounds = [\n", " (1e-3, 1-1e-3), # p_ae\n", " (0.20, 1.50), # ae_shape\n", " (0.8, 3.5), # ae_scale\n", " (2.0, 12.0), # nc_shape\n", " (0.03, 0.50), # nc_scale\n", "]\n", "names = [\"p_ae\", \"ae_shape\", \"ae_scale\", \"nc_shape\", \"nc_scale\"]\n", "\n", "# -------------------------\n", "# 1) Unpenalized NLL + fit\n", "# -------------------------\n", "def unpenalized_nll(theta, X_ae_b, X_nc_b):\n", " p, as_, asc, ns, nsc = theta\n", " if not (0 < p < 1): \n", " return np.inf\n", " ll1 = np.sum(np.log(p * lognorm.pdf(X_ae_b, as_, scale=asc) + eps))\n", " ll0 = np.sum(np.log((1-p) * gamma.pdf(X_nc_b, ns, scale=nsc) + eps))\n", " return -(ll1 + ll0)\n", "\n", "def fit_unpenalized(X_ae_b, X_nc_b, start):\n", " res = minimize(lambda th: unpenalized_nll(th, X_ae_b, X_nc_b),\n", " start, bounds=bounds, method=\"L-BFGS-B\")\n", " return res.x if res.success else None\n", "\n", "def post_curve(x, theta):\n", " p,a_s,a_sc,n_s,n_sc = theta\n", " f1 = lognorm.pdf(x, a_s, scale=a_sc)\n", " f0 = gamma.pdf(x, n_s, scale=n_sc)\n", " return (p*f1)/(p*f1 + (1-p)*f0 + 1e-12)\n", "\n", "# Initial guess (tweak if needed)\n", "init = np.array([0.20, 0.6, 1.8, 6.0, 0.15], dtype=float)\n", "theta_hat = fit_unpenalized(X_ae, X_nc, init)\n", "if theta_hat is None:\n", " raise RuntimeError(\"Unpenalized MLE failed. Try another 'init'.\")\n", "\n", "# Print LLF + params\n", "llf_hat = -unpenalized_nll(theta_hat, X_ae, X_nc)\n", "print(\"=== Unpenalized MLE fit ===\")\n", "for n, v in zip(names, theta_hat):\n", " print(f\"{n:10s} = {v:.6f}\")\n", "print(f\"Log-likelihood (unpenalized): {llf_hat:.6f}\")\n", "\n", "# Baseline posterior curve\n", "post_hat = post_curve(x_grid, theta_hat)\n", "\n", "# -------------------------\n", "# 2) Single bootstrap loop → (a) param CIs, (b) BCa band for posterior\n", "# -------------------------\n", "B = 1500\n", "n_ae, n_nc = len(X_ae), len(X_nc)\n", "param_boot = []\n", "curve_boot = []\n", "\n", "for b in range(B):\n", " # Parametric bootstrap samples from fitted class-conditionals\n", " sim_ae = lognorm(theta_hat[1], scale=theta_hat[2]).rvs(size=n_ae, random_state=rng)\n", " sim_nc = gamma( theta_hat[3], scale=theta_hat[4]).rvs(size=n_nc, random_state=rng)\n", " th_b = fit_unpenalized(sim_ae, sim_nc, theta_hat)\n", " if th_b is None:\n", " continue\n", " param_boot.append(th_b)\n", " curve_boot.append(post_curve(x_grid, th_b))\n", "\n", "param_boot = np.asarray(param_boot) # (B_eff, 5)\n", "curve_boot = np.asarray(curve_boot) # (B_eff, n_x)\n", "B_eff = len(curve_boot)\n", "if B_eff < 50:\n", " raise RuntimeError(\"Too few successful bootstrap fits.\")\n", "\n", "# ---- (a) Parameter CIs (simple percentile CIs) ----\n", "ci_params = np.percentile(param_boot, [2.5, 97.5], axis=0) # shape (2,5)\n", "print(\"\\n=== Bootstrap 95% CI for parameters (percentile) ===\")\n", "for n, est, lo, hi in zip(names, theta_hat, ci_params[0], ci_params[1]):\n", " print(f\"{n:10s}: {est:.6f} (95% CI: {lo:.6f} , {hi:.6f})\")\n", "\n", "# ---- (b) BCa band for the posterior curve ----\n", "# Bias-correction z0\n", "theta_dot = post_hat\n", "z0 = norm.ppf(np.clip((curve_boot < theta_dot).mean(axis=0), 1e-6, 1-1e-6))\n", "\n", "# Jackknife for acceleration a (leave-one-out by class)\n", "JK = []\n", "for i in range(n_ae):\n", " th_j = fit_unpenalized(np.delete(X_ae, i), X_nc, theta_hat)\n", " if th_j is not None:\n", " JK.append(post_curve(x_grid, th_j))\n", "for j in range(n_nc):\n", " th_j = fit_unpenalized(X_ae, np.delete(X_nc, j), theta_hat)\n", " if th_j is not None:\n", " JK.append(post_curve(x_grid, th_j))\n", "JK = np.asarray(JK) # (n_ae+n_nc, n_x)\n", "\n", "jk_mean = JK.mean(axis=0, keepdims=True)\n", "u = jk_mean - JK\n", "num = np.sum(u**3, axis=0)\n", "den = 6.0 * (np.sum(u**2, axis=0)**1.5 + 1e-12)\n", "a = np.where(den != 0, num/den, 0.0)\n", "\n", "alpha_lo, alpha_hi = 0.025, 0.975\n", "z_lo, z_hi = norm.ppf(alpha_lo), norm.ppf(alpha_hi)\n", "\n", "adj_lo = norm.cdf(z0 + (z0 + z_lo)/(1 - a*(z0 + z_lo)))\n", "adj_hi = norm.cdf(z0 + (z0 + z_hi)/(1 - a*(z0 + z_hi)))\n", "adj_lo = np.clip(adj_lo, 1e-6, 1-1e-6)\n", "adj_hi = np.clip(adj_hi, 1e-6, 1-1e-6)\n", "\n", "def bca_bounds_vec(adj_lo, adj_hi, boot_curves):\n", " sorted_boot = np.sort(boot_curves, axis=0) # (B_eff, n_x)\n", " n_x = sorted_boot.shape[1]\n", " cols = np.arange(n_x)\n", " idx_lo = np.clip((adj_lo * (B_eff - 1)).round().astype(int), 0, B_eff - 1)\n", " idx_hi = np.clip((adj_hi * (B_eff - 1)).round().astype(int), 0, B_eff - 1)\n", " lo = sorted_boot[idx_lo, cols]\n", " hi = sorted_boot[idx_hi, cols]\n", " return lo, hi\n", "\n", "ci_lo, ci_hi = bca_bounds_vec(adj_lo, adj_hi, curve_boot)\n", "\n", "# Optional: enforce monotone envelope + clip to [0,1]\n", "ci_lo = np.maximum.accumulate(ci_lo)\n", "ci_hi = np.maximum(ci_lo, np.minimum.accumulate(ci_hi[::-1])[::-1])\n", "ci_lo = np.clip(ci_lo, 0, 1)\n", "ci_hi = np.clip(ci_hi, 0, 1)\n", "\n", "# -------------------------\n", "# 3) Plot: posterior + BCa; show raw data at y=0/1\n", "# -------------------------\n", "plt.figure(figsize=(10,7))\n", "plt.plot(x_grid, post_hat, 'k', lw=2, label='Posterior (MLE)')\n", "plt.fill_between(x_grid, ci_lo, ci_hi, alpha=0.25, label='BCa bootstrap 95%')\n", "plt.scatter(X_ae, np.ones_like(X_ae), s=24, label='AE')\n", "plt.scatter(X_nc, np.zeros_like(X_nc), s=24, marker='x', label='NC')\n", "plt.ylim(-0.05, 1.05); plt.xlabel('SUV'); plt.ylabel('P(AE|x)')\n", "plt.legend(); plt.grid(True); plt.tight_layout(); plt.show()\n" ] }, { "cell_type": "code", "execution_count": 75, "id": "a00aa513", "metadata": {}, "outputs": [ { "ename": "IndexError", "evalue": "index 30 is out of bounds for axis 0 with size 17", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mIndexError\u001b[0m Traceback (most recent call last)", "Cell \u001b[1;32mIn[75], line 36\u001b[0m\n\u001b[0;32m 33\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mFeature X must be positive and finite for LogNormal/Gamma. Found: \u001b[39m\u001b[38;5;132;01m%r\u001b[39;00m\u001b[38;5;124m\"\u001b[39m \u001b[38;5;241m%\u001b[39m x)\n\u001b[0;32m 34\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mfloat\u001b[39m(x)\n\u001b[1;32m---> 36\u001b[0m X \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39marray([extract_scalar_feature(suv[i, :, :]) \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mrange\u001b[39m(suv\u001b[38;5;241m.\u001b[39mshape[\u001b[38;5;241m0\u001b[39m])], dtype\u001b[38;5;241m=\u001b[39m\u001b[38;5;28mfloat\u001b[39m)\n\u001b[0;32m 38\u001b[0m \u001b[38;5;66;03m# -----------------------------\u001b[39;00m\n\u001b[0;32m 39\u001b[0m \u001b[38;5;66;03m# 3) Labels: y=1 for AE, y=0 for NC\u001b[39;00m\n\u001b[0;32m 40\u001b[0m \u001b[38;5;66;03m# Adjust the mapping if your 'flags' codes differ.\u001b[39;00m\n\u001b[0;32m 41\u001b[0m \u001b[38;5;66;03m# -----------------------------\u001b[39;00m\n\u001b[0;32m 42\u001b[0m \u001b[38;5;66;03m# Assumption: flags == 1 -> AE, else -> NC\u001b[39;00m\n\u001b[0;32m 43\u001b[0m y \u001b[38;5;241m=\u001b[39m (flags\u001b[38;5;241m.\u001b[39mravel() \u001b[38;5;241m==\u001b[39m \u001b[38;5;241m1\u001b[39m)\u001b[38;5;241m.\u001b[39mastype(\u001b[38;5;28mint\u001b[39m)\n", "Cell \u001b[1;32mIn[75], line 28\u001b[0m, in \u001b[0;36mextract_scalar_feature\u001b[1;34m(suv_row, percentile_idx, side_idx)\u001b[0m\n\u001b[0;32m 26\u001b[0m x \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mnanmean(suv_row[percentile_idx, :])\n\u001b[0;32m 27\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m---> 28\u001b[0m x \u001b[38;5;241m=\u001b[39m suv_row[percentile_idx, side_idx]\n\u001b[0;32m 29\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[0;32m 30\u001b[0m \u001b[38;5;66;03m# If the file has a different shape, adapt here\u001b[39;00m\n\u001b[0;32m 31\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mUnexpected suv row shape; please adjust extract_scalar_feature().\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n", "\u001b[1;31mIndexError\u001b[0m: index 30 is out of bounds for axis 0 with size 17" ] } ], "source": [ "import numpy as np\n", "from scipy import io, optimize, stats\n", "\n", "# -----------------------------\n", "# 1) Load data\n", "# -----------------------------\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3] # shape (58,)\n", "rng = np.random.default_rng(1)\n", "\n", "x_grid = np.linspace(0.8, 4.2, 500)\n", "\n", "# -----------------------------\n", "# 2) Select a scalar feature X from suv[i, :, :]\n", "# TODO: set percentile_idx and side_idx as you prefer.\n", "# Example: use column 'percentile_idx' and side 0 (if both lungs are present).\n", "# -----------------------------\n", "percentile_idx = 30 # <-- CHANGE ME to the percentile column you want (0-based)\n", "side_idx = 0 # <-- CHANGE ME to 0/1 if the 3rd dim is left/right; or set to None to average both\n", "\n", "def extract_scalar_feature(suv_row, percentile_idx=percentile_idx, side_idx=side_idx):\n", " \"\"\"Return one positive scalar X from the per-subject suv array.\"\"\"\n", " if suv_row.ndim == 2:\n", " if side_idx is None:\n", " x = np.nanmean(suv_row[percentile_idx, :])\n", " else:\n", " x = suv_row[percentile_idx, side_idx]\n", " else:\n", " # If the file has a different shape, adapt here\n", " raise ValueError(\"Unexpected suv row shape; please adjust extract_scalar_feature().\")\n", " if not np.isfinite(x) or x <= 0:\n", " raise ValueError(\"Feature X must be positive and finite for LogNormal/Gamma. Found: %r\" % x)\n", " return float(x)\n", "\n", "X = np.array([extract_scalar_feature(suv[i, :, :]) for i in range(suv.shape[0])], dtype=float)\n", "\n", "# -----------------------------\n", "# 3) Labels: y=1 for AE, y=0 for NC\n", "# Adjust the mapping if your 'flags' codes differ.\n", "# -----------------------------\n", "# Assumption: flags == 1 -> AE, else -> NC\n", "y = (flags.ravel() == 1).astype(int)\n", "n1, n0 = int(y.sum()), int((1-y).sum())\n", "assert n1 == 5 and n0 == 53, f\"Expected 5 AE and 53 NC; got {n1} and {n0}.\"\n", "\n", "# -----------------------------\n", "# 4) Model & conditional log-likelihood\n", "# Parameters vector:\n", "# theta = [p_ae, ae_shape (sigma), ae_scale (exp(mu)),\n", "# nc_shape (k), nc_scale (theta)]\n", "# Bounds (yours) keep optimization well-posed.\n", "# -----------------------------\n", "bounds = [\n", " (1e-3, 1-1e-3), # p_ae prior\n", " (0.20, 1.50), # ae_shape (sigma)\n", " (0.8, 3.5), # ae_scale (exp(mu))\n", " (2.0, 12.0), # nc_shape (k)\n", " (0.03, 0.50), # nc_scale (theta)\n", "]\n", "\n", "def _logpdf_lognorm(x, s, scale):\n", " # SciPy parameterization: lognorm(s, scale=scale) with s=σ, scale=exp(μ)\n", " return stats.lognorm.logpdf(x, s=s, scale=scale)\n", "\n", "def _logpdf_gamma(x, k, scale):\n", " # SciPy gamma: shape a=k, scale=θ (NOT rate)\n", " return stats.gamma.logpdf(x, a=k, scale=scale)\n", "\n", "def neg_conditional_loglik(theta, X, y, eps=1e-12):\n", " p_ae, ae_s, ae_scale, nc_k, nc_scale = theta\n", " # log-likelihood pieces\n", " logf1 = _logpdf_lognorm(X, s=ae_s, scale=ae_scale)\n", " logf0 = _logpdf_gamma(X, k=nc_k, scale=nc_scale)\n", "\n", " # logit: log(π1/π0) + log f1 - log f0\n", " logit = np.log(p_ae) - np.log(1.0 - p_ae) + (logf1 - logf0)\n", " # posterior p(x) stably\n", " p = 1.0 / (1.0 + np.exp(-np.clip(logit, -40, 40)))\n", "\n", " # conditional log-likelihood\n", " ll = np.sum(y * np.log(p + eps) + (1 - y) * np.log(1 - p + eps))\n", " return -ll # minimize\n", "\n", "# -----------------------------\n", "# 5) Initialization\n", "# Use empirical priors and moment-based starts inside bounds.\n", "# -----------------------------\n", "p0 = max(bounds[0][0], min(bounds[0][1], n1 / (n1 + n0)))\n", "# AE lognormal: init from AE samples on log scale\n", "X1 = X[y == 1]\n", "mu_hat = np.mean(np.log(X1))\n", "sigma_hat = np.std(np.log(X1), ddof=0)\n", "ae_shape0 = np.clip(sigma_hat, bounds[1][0], bounds[1][1])\n", "ae_scale0 = np.clip(np.exp(mu_hat), bounds[2][0], bounds[2][1])\n", "\n", "# NC gamma: method-of-moments from NC samples\n", "X0 = X[y == 0]\n", "mean0, var0 = float(np.mean(X0)), float(np.var(X0, ddof=0))\n", "k0 = mean0**2 / max(var0, 1e-8)\n", "theta0 = max(var0 / max(mean0, 1e-8), 1e-6)\n", "nc_shape0 = np.clip(k0, bounds[3][0], bounds[3][1])\n", "nc_scale0 = np.clip(theta0, bounds[4][0], bounds[4][1])\n", "\n", "theta0 = np.array([p0, ae_shape0, ae_scale0, nc_shape0, nc_scale0], dtype=float)\n", "\n", "# -----------------------------\n", "# 6) Optimize conditional LL\n", "# -----------------------------\n", "res = optimize.minimize(\n", " fun=neg_conditional_loglik,\n", " x0=theta0,\n", " args=(X, y),\n", " method=\"L-BFGS-B\",\n", " bounds=bounds,\n", " options=dict(maxiter=1000, ftol=1e-12)\n", ")\n", "\n", "theta_hat = res.x\n", "p_ae_hat, ae_s_hat, ae_scale_hat, nc_k_hat, nc_scale_hat = theta_hat\n", "cond_ll = -res.fun\n", "\n", "print(\"Optimization success:\", res.success, res.message)\n", "print(\"θ̂ =\", {\n", " \"p_ae\": float(p_ae_hat),\n", " \"ae_shape(σ)\": float(ae_s_hat),\n", " \"ae_scale(exp(μ))\": float(ae_scale_hat),\n", " \"nc_shape(k)\": float(nc_k_hat),\n", " \"nc_scale(θ)\": float(nc_scale_hat),\n", "})\n", "print(\"Conditional log-likelihood:\", cond_ll)\n", "\n", "# -----------------------------\n", "# 7) Posterior function & training scores\n", "# -----------------------------\n", "def predict_proba(x, theta=theta_hat):\n", " \"\"\"Return P(AE | x) for scalar or array x.\"\"\"\n", " p_ae, ae_s, ae_scale, nc_k, nc_scale = theta\n", " x = np.asarray(x, dtype=float)\n", " logf1 = _logpdf_lognorm(x, s=ae_s, scale=ae_scale)\n", " logf0 = _logpdf_gamma(x, k=nc_k, scale=nc_scale)\n", " logit = np.log(p_ae) - np.log(1.0 - p_ae) + (logf1 - logf0)\n", " return 1.0 / (1.0 + np.exp(-np.clip(logit, -40, 40)))\n", "\n", "# Training-set posteriors and LL (for inspection)\n", "p_train = predict_proba(X)\n", "train_ll = np.sum(y * np.log(p_train + 1e-12) + (1-y) * np.log(1 - p_train + 1e-12))\n", "print(\"Train conditional log-likelihood (recomputed):\", float(train_ll))\n", "\n", "# -----------------------------\n", "# 8) Example: posterior curve over your grid & a new case\n", "# -----------------------------\n", "p_grid = predict_proba(x_grid)\n", "x_new = 2.0 # <-- replace with a real SUV for a new subject\n", "p_new = float(predict_proba(x_new))\n", "print(f\"P(AE | x_new={x_new}) = {p_new:.4f}\")\n", "\n", "\n", "# Compute posterior over fine grid\n", "p_grid = predict_proba(x_grid)\n", "\n", "plt.figure(figsize=(8, 5))\n", "# The smooth S-shaped curve\n", "plt.plot(x_grid, p_grid, 'k-', linewidth=2, label=\"P(AE | X)\")\n", "\n", "# Optional: jittered sample points to avoid overplotting\n", "y_jitter = y + rng.uniform(-0.02, 0.02, size=len(y))\n", "plt.scatter(X[y == 1], y_jitter[y == 1], color=\"red\", marker=\"x\", label=\"AE samples\")\n", "plt.scatter(X[y == 0], y_jitter[y == 0], color=\"blue\", marker=\"o\", label=\"NC samples\")\n", "\n", "plt.xlabel(\"SUV feature X\")\n", "plt.ylabel(\"Predicted P(AE | X)\")\n", "plt.title(\"S-shape Posterior Curve from Conditional Log-Likelihood Fit\")\n", "plt.ylim(-0.05, 1.05)\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "19e8233f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization failed: ABNORMAL: \n" ] } ], "source": [ "import numpy as np\n", "from scipy.stats import lognorm, gamma\n", "from scipy.optimize import minimize\n", "import scipy.io as io\n", "\n", "# === Load data ===\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3]\n", "\n", "# Extract median SUV per subject\n", "median_suv = np.median(suv, axis=(1, 2))\n", "X = median_suv\n", "y = flags.astype(int) # AE=1, NC=0\n", "\n", "# === Posterior probability via Bayes' rule ===\n", "def bayes_posterior(x, params):\n", " p_ae, ae_shape, ae_scale, nc_shape, nc_scale = params\n", " f1 = lognorm.pdf(x, ae_shape, scale=ae_scale)\n", " f0 = gamma.pdf(x, nc_shape, scale=nc_scale)\n", " return (p_ae * f1) / (p_ae * f1 + (1 - p_ae) * f0 + 1e-12)\n", "\n", "# === Conditional log-likelihood ===\n", "def nll_conditional(params):\n", " p = bayes_posterior(X, params)\n", " p = np.clip(p, 1e-12, 1 - 1e-12) # avoid log(0)\n", " return -np.sum(y * np.log(p) + (1 - y) * np.log(1 - p))\n", "\n", "# === Bounds ===\n", "bounds = [\n", " (1e-3, 1 - 1e-3), # p_ae\n", " (0.20, 1.50), # ae_shape\n", " (0.8, 3.5), # ae_scale\n", " (2.0, 12.0), # nc_shape\n", " (0.03, 0.50), # nc_scale\n", "]\n", "\n", "# === Fit ===\n", "start_guess = np.array([0.5, 0.6, 1.8, 6.0, 0.15])\n", "res = minimize(nll_conditional, start_guess, bounds=bounds, method=\"L-BFGS-B\")\n", "\n", "# === Output ===\n", "if res.success:\n", " theta_hat = res.x\n", " llf = -res.fun\n", " print(\"Fitted parameters (conditional MLE, Bayesian model):\")\n", " print(f\"p_ae = {theta_hat[0]:.6f}\")\n", " print(f\"ae_shape = {theta_hat[1]:.6f}\")\n", " print(f\"ae_scale = {theta_hat[2]:.6f}\")\n", " print(f\"nc_shape = {theta_hat[3]:.6f}\")\n", " print(f\"nc_scale = {theta_hat[4]:.6f}\")\n", " print(f\"\\nConditional Log-Likelihood (LLF): {llf:.6f}\")\n", "else:\n", " print(\"Optimization failed:\", res.message)\n" ] }, { "cell_type": "code", "execution_count": 37, "id": "93eb6216", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ======= 1) Imports =======\n", "import numpy as np\n", "import numpy.linalg as LA\n", "import matplotlib.pyplot as plt\n", "from scipy.optimize import minimize\n", "from scipy.stats import norm, lognorm, gamma\n", "\n", "# ======= 2) Data & constants =======\n", "assert 'X_ae' in globals() and 'X_nc' in globals(),\n", "X_ae = np.asarray(X_ae, dtype=float)\n", "X_nc = np.asarray(X_nc, dtype=float)\n", "n_ae, n_nc = len(X_ae), len(X_nc)\n", "N_total = n_ae + n_nc\n", "eps = 1e-12\n", "rng = np.random.default_rng(42)\n", "\n", "# ======= 3) Bounds =======\n", "bounds = [\n", " (1e-3, 1-1e-3), # p_ae\n", " (0.20, 1.50), # AE shape\n", " (0.80, 3.50), # AE scale\n", " (2.00, 12.0), # NC shape\n", " (0.03, 0.50), # NC scale\n", "]\n", "\n", "# ======= 4) Likelihood & helpers =======\n", "def unpenalized_nll_factory(X_ae_fit, X_nc_fit):\n", " def nll(theta):\n", " p, as_, asc, ns, nsc = theta\n", " if not (0 < p < 1):\n", " return np.inf\n", " ll1 = np.sum(np.log(p * lognorm.pdf(X_ae_fit, as_, loc=0, scale=asc) + eps))\n", " ll0 = np.sum(np.log((1-p) * gamma.pdf(X_nc_fit, ns, loc=0, scale=nsc) + eps))\n", " return -(ll1 + ll0)\n", " return nll\n", "\n", "def fit_unpenalized(X_ae_b, X_nc_b, start=None):\n", " if start is None:\n", " start = np.array([\n", " max(1e-3, len(X_ae_b)/(len(X_ae_b)+len(X_nc_b)+1e-9)),\n", " 0.6, 1.8, 6.0, 0.15\n", " ], dtype=float)\n", " nll = unpenalized_nll_factory(X_ae_b, X_nc_b)\n", " res = minimize(nll, start, bounds=bounds, method=\"L-BFGS-B\")\n", " return (res.x if res.success else None)\n", "\n", "def post_curve(x, theta):\n", " p,a_s,a_sc,n_s,n_sc = theta\n", " f1 = lognorm.pdf(x, a_s, loc=0, scale=a_sc)\n", " f0 = gamma.pdf(x, n_s, loc=0, scale=n_sc)\n", " return (p*f1) / (p*f1 + (1-p)*f0 + eps)\n", "\n", "def posterior_prob_scalar(x, theta):\n", " return float(post_curve(np.array([x]), theta)[0])\n", "\n", "# ======= 5) Fit MLE =======\n", "theta_hat = fit_unpenalized(X_ae, X_nc)\n", "if theta_hat is None:\n", " raise RuntimeError(\"MLE failed.\")\n", "p_hat, a_s, a_sc, n_s, n_sc = theta_hat\n", "\n", "# ======= 6) Grid from 0 to 8 =======\n", "x_full = np.linspace(0.0, 8.0, 900)\n", "post_hat_full = post_curve(x_full, theta_hat)\n", "\n", "xmax_data = float(np.r_[X_ae, X_nc].max())\n", "mask_in = x_full <= xmax_data\n", "mask_out = ~mask_in\n", "\n", "# ======= 7) Wald delta method =======\n", "def numerical_hessian(f, theta, rel_step=1e-4):\n", " theta = np.asarray(theta, dtype=float)\n", " k = len(theta); H = np.zeros((k, k))\n", " h = rel_step * np.maximum(1.0, np.abs(theta))\n", " f0 = f(theta)\n", " for i in range(k):\n", " ei = np.zeros(k); ei[i] = 1.0\n", " for j in range(i, k):\n", " ej = np.zeros(k); ej[j] = 1.0\n", " if i == j:\n", " fpp = f(theta + h[i]*ei); fmm = f(theta - h[i]*ei)\n", " H[i,i] = (fpp - 2*f0 + fmm) / (h[i]**2)\n", " else:\n", " fpp = f(theta + h[i]*ei + h[j]*ej)\n", " fpm = f(theta + h[i]*ei - h[j]*ej)\n", " fmp = f(theta - h[i]*ei + h[j]*ej)\n", " fmm = f(theta - h[i]*ei - h[j]*ej)\n", " H[i,j] = H[j,i] = (fpp - fpm - fmp + fmm) / (4*h[i]*h[j])\n", " return H\n", "\n", "H = numerical_hessian(unpenalized_nll_factory(X_ae, X_nc), theta_hat)\n", "if np.any(LA.eigvalsh(H) <= 0):\n", " H += np.eye(len(H))*1e-6\n", "cov = LA.inv(H)\n", "\n", "z = 1.96\n", "wald_lo_full, wald_hi_full = [], []\n", "for x in x_full:\n", " grad = np.zeros_like(theta_hat)\n", " step = 1e-5\n", " for i in range(len(theta_hat)):\n", " d = np.zeros_like(theta_hat); d[i] = step\n", " gp = posterior_prob_scalar(x, theta_hat + d)\n", " gm = posterior_prob_scalar(x, theta_hat - d)\n", " grad[i] = (gp - gm) / (2*step)\n", " var = grad @ cov @ grad\n", " se = np.sqrt(max(var, 0.0))\n", " m = posterior_prob_scalar(x, theta_hat)\n", " wald_lo_full.append(max(0.0, m - z*se))\n", " wald_hi_full.append(min(1.0, m + z*se))\n", "wald_lo_full = np.array(wald_lo_full)\n", "wald_hi_full = np.array(wald_hi_full)\n", "\n", "# ======= 8) Jackknife curves =======\n", "def jackknife_stratified_curves(x_grid, theta_start):\n", " JK = []\n", " for i in range(n_ae):\n", " th = fit_unpenalized(np.delete(X_ae, i), X_nc, theta_start)\n", " if th is not None: JK.append(post_curve(x_grid, th))\n", " for j in range(n_nc):\n", " th = fit_unpenalized(X_ae, np.delete(X_nc, j), theta_start)\n", " if th is not None: JK.append(post_curve(x_grid, th))\n", " JK = np.asarray(JK)\n", " if JK.size == 0:\n", " raise RuntimeError(\"Jackknife failed.\")\n", " return JK\n", "\n", "JK_full = jackknife_stratified_curves(x_full, theta_hat)\n", "\n", "# ======= 9) BCa function =======\n", "def bca_from_boot(boot, post_hat, JK, alpha_lo=0.025, alpha_hi=0.975):\n", " B_eff, n_x = boot.shape\n", " z0 = norm.ppf(np.clip((boot < post_hat).mean(axis=0), 1e-6, 1-1e-6))\n", " jk_mean = JK.mean(axis=0, keepdims=True)\n", " u = jk_mean - JK\n", " num = np.sum(u**3, axis=0)\n", " den = 6.0 * (np.sum(u**2, axis=0)**1.5 + 1e-12)\n", " a = np.where(den != 0, num/den, 0.0)\n", " z_lo, z_hi = norm.ppf(alpha_lo), norm.ppf(alpha_hi)\n", " adj_lo = norm.cdf(z0 + (z0 + z_lo)/(1 - a*(z0 + z_lo)))\n", " adj_hi = norm.cdf(z0 + (z0 + z_hi)/(1 - a*(z0 + z_hi)))\n", " sorted_boot = np.sort(boot, axis=0)\n", " cols = np.arange(n_x)\n", " idx_lo = np.clip((adj_lo * (B_eff - 1)).round().astype(int), 0, B_eff-1)\n", " idx_hi = np.clip((adj_hi * (B_eff - 1)).round().astype(int), 0, B_eff-1)\n", " ci_lo = sorted_boot[idx_lo, cols]\n", " ci_hi = sorted_boot[idx_hi, cols]\n", " return np.clip(ci_lo, 0, 1), np.clip(ci_hi, 0, 1)\n", "\n", "# ======= 10) Bootstraps =======\n", "B = 1500\n", "\n", "def boot_param_stratified():\n", " curves = []\n", " for _ in range(B):\n", " sim_ae = lognorm(a_s, loc=0, scale=a_sc).rvs(size=n_ae, random_state=rng)\n", " sim_nc = gamma(n_s, loc=0, scale=n_sc).rvs(size=n_nc, random_state=rng)\n", " th = fit_unpenalized(sim_ae, sim_nc, theta_hat)\n", " if th is not None: curves.append(post_curve(x_full, th))\n", " return np.asarray(curves)\n", "\n", "def boot_param_non_stratified():\n", " curves = []\n", " for _ in range(B):\n", " comp = rng.random(N_total) < p_hat\n", " suvs = np.empty(N_total)\n", " k1 = comp.sum(); k0 = N_total - k1\n", " if k1: suvs[comp] = lognorm(a_s, loc=0, scale=a_sc).rvs(size=k1, random_state=rng)\n", " if k0: suvs[~comp] = gamma(n_s, loc=0, scale=n_sc).rvs(size=k0, random_state=rng)\n", " th = fit_unpenalized(suvs[comp], suvs[~comp], theta_hat)\n", " if th is not None: curves.append(post_curve(x_full, th))\n", " return np.asarray(curves)\n", "\n", "def boot_nonparam_stratified():\n", " curves = []\n", " for _ in range(B):\n", " idx_ae = rng.integers(0, n_ae, n_ae)\n", " idx_nc = rng.integers(0, n_nc, n_nc)\n", " th = fit_unpenalized(X_ae[idx_ae], X_nc[idx_nc], theta_hat)\n", " if th is not None: curves.append(post_curve(x_full, th))\n", " return np.asarray(curves)\n", "\n", "def boot_nonparam_non_stratified():\n", " curves = []\n", " suv_all = np.r_[X_ae, X_nc]\n", " flag_all = np.r_[np.ones(n_ae, int), np.zeros(n_nc, int)]\n", " for _ in range(B):\n", " idx = rng.integers(0, N_total, N_total)\n", " suvs_b, flags_b = suv_all[idx], flag_all[idx]\n", " th = fit_unpenalized(suvs_b[flags_b==1], suvs_b[flags_b==0], theta_hat)\n", " if th is not None: curves.append(post_curve(x_full, th))\n", " return np.asarray(curves)\n", "\n", "boot_ps = boot_param_stratified()\n", "boot_pns = boot_param_non_stratified()\n", "boot_nps = boot_nonparam_stratified()\n", "boot_npns = boot_nonparam_non_stratified()\n", "\n", "# ======= 11) BCa CIs =======\n", "ci_ps_lo, ci_ps_hi = bca_from_boot(boot_ps, post_hat_full, JK_full)\n", "ci_pns_lo, ci_pns_hi = bca_from_boot(boot_pns, post_hat_full, JK_full)\n", "ci_nps_lo, ci_nps_hi = bca_from_boot(boot_nps, post_hat_full, JK_full)\n", "ci_npns_lo, ci_npns_hi = bca_from_boot(boot_npns, post_hat_full, JK_full)\n", "\n", "# ======= 12) Plot =======\n", "def fill_two_alpha(x, lo, hi, c, lab, alpha_in=0.28, alpha_out=0.10):\n", " if mask_in.any():\n", " plt.fill_between(x[mask_in], lo[mask_in], hi[mask_in], color=c, alpha=alpha_in, label=lab)\n", " if mask_out.any():\n", " plt.fill_between(x[mask_out], lo[mask_out], hi[mask_out], color=c, alpha=alpha_out)\n", "\n", "plt.figure(figsize=(11,8))\n", "plt.plot(x_full, post_hat_full, color='k', lw=2.2, label='Posterior (MLE)')\n", "\n", "fill_two_alpha(x_full, wald_lo_full, wald_hi_full, 'tab:red', 'Wald 95% (Delta)', 0.16, 0.07)\n", "fill_two_alpha(x_full, ci_ps_lo, ci_ps_hi, 'tab:blue', 'BCa 95% — Param STRAT')\n", "fill_two_alpha(x_full, ci_pns_lo, ci_pns_hi, 'tab:orange', 'BCa 95% — Param NON-STRAT')\n", "fill_two_alpha(x_full, ci_nps_lo, ci_nps_hi, 'tab:green', 'BCa 95% — Nonparam STRAT')\n", "fill_two_alpha(x_full, ci_npns_lo, ci_npns_hi, 'tab:purple', 'BCa 95% — Nonparam NON-STRAT')\n", "\n", "plt.scatter(X_ae, np.ones_like(X_ae), s=28, label='AE')\n", "plt.scatter(X_nc, np.zeros_like(X_nc), s=28, marker='x', label='NC')\n", "\n", "plt.axvline(xmax_data, ls='--', lw=1, color='k', alpha=0.35)\n", "plt.xlim(0.0, 8.0)\n", "plt.ylim(-0.05, 1.05)\n", "plt.xlabel('SUV'); plt.ylabel('P(AE | SUV)')\n", "plt.title('Posterior & Five CI Bands from SUV=0 to SUV=8')\n", "plt.grid(True); plt.legend(ncol=2); plt.tight_layout(); plt.show()\n" ] }, { "cell_type": "code", "execution_count": 56, "id": "ce002132", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_16740\\2700923962.py:179: RuntimeWarning: invalid value encountered in cast\n", " idx_lo = np.clip((adj_lo * (B_eff-1)).round().astype(int), 0, B_eff-1)\n", "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_16740\\2700923962.py:180: RuntimeWarning: invalid value encountered in cast\n", " idx_hi = np.clip((adj_hi * (B_eff-1)).round().astype(int), 0, B_eff-1)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ===================== 1) Imports =====================\n", "import numpy as np\n", "import numpy.linalg as LA\n", "import matplotlib.pyplot as plt\n", "from scipy.optimize import minimize\n", "from scipy.stats import norm, lognorm, gamma\n", "\n", "# ===================== 2) Data & constants =====================\n", "assert 'X_ae' in globals() and 'X_nc' in globals(), \"Define X_ae, X_nc first.\"\n", "X_ae = np.asarray(X_ae, dtype=float)\n", "X_nc = np.asarray(X_nc, dtype=float)\n", "n_ae, n_nc = len(X_ae), len(X_nc)\n", "N_total = n_ae + n_nc\n", "eps = 1e-12\n", "rng = np.random.default_rng(123)\n", "\n", "# Left-truncation cutoff c (use min observed or lab LOD)\n", "c = float(np.r_[X_ae, X_nc].min()) # e.g., ~0.77; replace with your LOD if known\n", "\n", "# ===================== 3) Truncated PDFs & samplers =====================\n", "def tlognorm_pdf(x, s, sc, c):\n", " num = lognorm.pdf(x, s, loc=0, scale=sc)\n", " den = 1.0 - lognorm.cdf(c, s, loc=0, scale=sc)\n", " return np.where(x>=c, num/np.maximum(den, 1e-15), 0.0)\n", "\n", "def tgamma_pdf(x, k, th, c):\n", " num = gamma.pdf(x, k, loc=0, scale=th)\n", " den = 1.0 - gamma.cdf(c, k, loc=0, scale=th)\n", " return np.where(x>=c, num/np.maximum(den, 1e-15), 0.0)\n", "\n", "def rvs_tlognorm(size, s, sc, c, rng):\n", " # inverse-CDF sampling on [c, ∞)\n", " u0 = lognorm.cdf(c, s, loc=0, scale=sc)\n", " u = u0 + rng.random(size)*(1.0 - u0)\n", " return lognorm.ppf(u, s, loc=0, scale=sc)\n", "\n", "def rvs_tgamma(size, k, th, c, rng):\n", " u0 = gamma.cdf(c, k, loc=0, scale=th)\n", " u = u0 + rng.random(size)*(1.0 - u0)\n", " return gamma.ppf(u, k, loc=0, scale=th)\n", "\n", "# ===================== 4) Bounds (same as before) =====================\n", "bounds = [\n", " (1e-3, 1-1e-3), # p_ae\n", " (0.20, 1.50), # AE shape\n", " (0.80, 3.50), # AE scale\n", " (2.00, 12.0), # NC shape\n", " (0.03, 0.50), # NC scale\n", "]\n", "\n", "# ===================== 5) Truncated likelihood, fit, posterior =====================\n", "def nll_trunc_factory(X_ae_fit, X_nc_fit, c):\n", " def nll(theta):\n", " p, s_ae, sc_ae, k_nc, th_nc = theta\n", " if not (0 < p < 1): return np.inf\n", " fae = tlognorm_pdf(X_ae_fit, s_ae, sc_ae, c)\n", " fnc = tgamma_pdf (X_nc_fit, k_nc, th_nc, c)\n", " ll1 = np.sum(np.log(p*fae + eps))\n", " ll0 = np.sum(np.log((1-p)*fnc + eps))\n", " return -(ll1 + ll0)\n", " return nll\n", "\n", "def fit_unpenalized_trunc(X_ae_b, X_nc_b, c, start=None):\n", " if start is None:\n", " start = np.array([\n", " max(1e-3, len(X_ae_b)/(len(X_ae_b)+len(X_nc_b)+1e-9)),\n", " 0.6, 1.8, 6.0, 0.15\n", " ], dtype=float)\n", " nll = nll_trunc_factory(X_ae_b, X_nc_b, c)\n", " res = minimize(nll, start, bounds=bounds, method=\"L-BFGS-B\")\n", " return (res.x if res.success else None)\n", "\n", "def post_curve_trunc(x, theta, c):\n", " p, s_ae, sc_ae, k_nc, th_nc = theta\n", " fae = tlognorm_pdf(x, s_ae, sc_ae, c)\n", " fnc = tgamma_pdf (x, k_nc, th_nc, c)\n", " num = p*fae\n", " den = num + (1-p)*fnc + eps\n", " out = np.full_like(x, np.nan, dtype=float)\n", " m = x >= c\n", " out[m] = num[m]/den[m]\n", " return out\n", "\n", "def posterior_prob_scalar_trunc(x, theta, c):\n", " return float(post_curve_trunc(np.array([x], float), theta, c)[0])\n", "\n", "# ===================== 6) Fit truncated model =====================\n", "theta_hat = fit_unpenalized_trunc(X_ae, X_nc, c)\n", "if theta_hat is None:\n", " raise RuntimeError(\"Truncated MLE failed.\")\n", "p_hat, a_s, a_sc, n_s, n_sc = theta_hat\n", "\n", "# ===================== 7) Grid & masks (0..8, but undefined < c) =====================\n", "x_full = np.linspace(0.0, 8.0, 900)\n", "post_hat_full = post_curve_trunc(x_full, theta_hat, c)\n", "\n", "obs = np.r_[X_ae, X_nc]\n", "xmin_data = float(obs.min())\n", "xmax_data = float(obs.max())\n", "\n", "mask_left = x_full < xmin_data # no observed data (and < c)\n", "mask_center = (x_full >= xmin_data) & (x_full <= xmax_data)\n", "mask_right = x_full > xmax_data\n", "\n", "# ===================== 8) Wald (delta method) for truncated model =====================\n", "def numerical_hessian(f, theta, rel_step=1e-4):\n", " theta = np.asarray(theta, dtype=float)\n", " k = len(theta); H = np.zeros((k, k))\n", " h = rel_step * np.maximum(1.0, np.abs(theta))\n", " f0 = f(theta)\n", " for i in range(k):\n", " ei = np.zeros(k); ei[i] = 1.0\n", " for j in range(i, k):\n", " ej = np.zeros(k); ej[j] = 1.0\n", " if i==j:\n", " fpp = f(theta + h[i]*ei); fmm = f(theta - h[i]*ei)\n", " H[i,i] = (fpp - 2*f0 + fmm)/(h[i]**2)\n", " else:\n", " fpp = f(theta + h[i]*ei + h[j]*ej)\n", " fpm = f(theta + h[i]*ei - h[j]*ej)\n", " fmp = f(theta - h[i]*ei + h[j]*ej)\n", " fmm = f(theta - h[i]*ei - h[j]*ej)\n", " H[i,j] = H[j,i] = (fpp - fpm - fmp + fmm)/(4*h[i]*h[j])\n", " return H\n", "\n", "H = numerical_hessian(nll_trunc_factory(X_ae, X_nc, c), theta_hat)\n", "if np.any(LA.eigvalsh(H) <= 0):\n", " H += np.eye(len(H))*1e-6\n", "cov = LA.inv(H)\n", "\n", "z = 1.96\n", "wald_lo_full, wald_hi_full = np.full_like(x_full, np.nan, float), np.full_like(x_full, np.nan, float)\n", "step = 1e-5\n", "for idx, x in enumerate(x_full):\n", " if x < c: # undefined left of truncation\n", " continue\n", " grad = np.zeros_like(theta_hat)\n", " for i in range(len(theta_hat)):\n", " d = np.zeros_like(theta_hat); d[i] = step\n", " gp = posterior_prob_scalar_trunc(x, theta_hat + d, c)\n", " gm = posterior_prob_scalar_trunc(x, theta_hat - d, c)\n", " grad[i] = (gp - gm)/(2*step)\n", " var = grad @ cov @ grad\n", " se = np.sqrt(max(var, 0.0))\n", " m = posterior_prob_scalar_trunc(x, theta_hat, c)\n", " wald_lo_full[idx] = max(0.0, m - z*se)\n", " wald_hi_full[idx] = min(1.0, m + z*se)\n", "\n", "# ===================== 9) Jackknife (for BCa 'a') on truncated model =====================\n", "def jackknife_stratified_curves_trunc(x_grid, theta_start, c):\n", " JK = []\n", " for i in range(n_ae):\n", " th = fit_unpenalized_trunc(np.delete(X_ae, i), X_nc, c, theta_start)\n", " if th is not None: JK.append(post_curve_trunc(x_grid, th, c))\n", " for j in range(n_nc):\n", " th = fit_unpenalized_trunc(X_ae, np.delete(X_nc, j), c, theta_start)\n", " if th is not None: JK.append(post_curve_trunc(x_grid, th, c))\n", " JK = np.asarray(JK)\n", " if JK.size == 0:\n", " raise RuntimeError(\"All jackknife fits failed.\")\n", " return JK\n", "\n", "JK_full = jackknife_stratified_curves_trunc(x_full, theta_hat, c)\n", "\n", "# ===================== 10) BCa helper =====================\n", "def bca_from_boot(boot, post_hat, JK, alpha_lo=0.025, alpha_hi=0.975):\n", " B_eff, n_x = boot.shape\n", " z0 = norm.ppf(np.clip((boot < post_hat).mean(axis=0), 1e-6, 1-1e-6))\n", " jk_mean = JK.mean(axis=0, keepdims=True)\n", " u = jk_mean - JK\n", " num = np.sum(u**3, axis=0)\n", " den = 6.0 * (np.sum(u**2, axis=0)**1.5 + 1e-12)\n", " a = np.where(den != 0, num/den, 0.0)\n", " z_lo, z_hi = norm.ppf(alpha_lo), norm.ppf(alpha_hi)\n", " adj_lo = norm.cdf(z0 + (z0 + z_lo)/(1 - a*(z0 + z_lo)))\n", " adj_hi = norm.cdf(z0 + (z0 + z_hi)/(1 - a*(z0 + z_hi)))\n", " sorted_boot = np.sort(boot, axis=0)\n", " cols = np.arange(n_x)\n", " idx_lo = np.clip((adj_lo * (B_eff-1)).round().astype(int), 0, B_eff-1)\n", " idx_hi = np.clip((adj_hi * (B_eff-1)).round().astype(int), 0, B_eff-1)\n", " ci_lo = sorted_boot[idx_lo, cols]\n", " ci_hi = sorted_boot[idx_hi, cols]\n", " # keep monotone & in [0,1] where defined (x>=c)\n", " m = ~np.isnan(post_hat)\n", " if m.any():\n", " lo, hi = ci_lo.copy(), ci_hi.copy()\n", " lo[m] = np.maximum.accumulate(lo[m])\n", " hi[m] = np.maximum(lo[m], np.minimum.accumulate(hi[m][::-1])[::-1])\n", " ci_lo, ci_hi = lo, hi\n", " return np.clip(ci_lo, 0, 1), np.clip(ci_hi, 0, 1)\n", "\n", "# ===================== 11) Bootstrap variants (truncated) =====================\n", "B = 1500\n", "\n", "def boot_param_stratified_trunc():\n", " curves = []\n", " for _ in range(B):\n", " sim_ae = rvs_tlognorm(n_ae, a_s, a_sc, c, rng)\n", " sim_nc = rvs_tgamma (n_nc, n_s, n_sc, c, rng)\n", " th = fit_unpenalized_trunc(sim_ae, sim_nc, c, theta_hat)\n", " if th is not None: curves.append(post_curve_trunc(x_full, th, c))\n", " return np.asarray(curves)\n", "\n", "def boot_param_non_stratified_trunc():\n", " curves = []\n", " for _ in range(B):\n", " comp = rng.random(N_total) < p_hat\n", " k1 = comp.sum(); k0 = N_total - k1\n", " suvs = np.empty(N_total)\n", " if k1: suvs[comp] = rvs_tlognorm(k1, a_s, a_sc, c, rng)\n", " if k0: suvs[~comp] = rvs_tgamma (k0, n_s, n_sc, c, rng)\n", " X_ae_b, X_nc_b = suvs[comp], suvs[~comp]\n", " if len(X_ae_b)==0 or len(X_nc_b)==0: continue\n", " th = fit_unpenalized_trunc(X_ae_b, X_nc_b, c, theta_hat)\n", " if th is not None: curves.append(post_curve_trunc(x_full, th, c))\n", " return np.asarray(curves)\n", "\n", "def boot_nonparam_stratified_trunc():\n", " curves = []\n", " for _ in range(B):\n", " idx_ae = rng.integers(0, n_ae, n_ae)\n", " idx_nc = rng.integers(0, n_nc, n_nc)\n", " th = fit_unpenalized_trunc(X_ae[idx_ae], X_nc[idx_nc], c, theta_hat)\n", " if th is not None: curves.append(post_curve_trunc(x_full, th, c))\n", " return np.asarray(curves)\n", "\n", "def boot_nonparam_non_stratified_trunc():\n", " curves = []\n", " suv_all = np.r_[X_ae, X_nc]\n", " flag_all = np.r_[np.ones(n_ae, int), np.zeros(n_nc, int)]\n", " for _ in range(B):\n", " idx = rng.integers(0, N_total, N_total)\n", " suvs_b, flags_b = suv_all[idx], flag_all[idx]\n", " X_ae_b, X_nc_b = suvs_b[flags_b==1], suvs_b[flags_b==0]\n", " if len(X_ae_b)==0 or len(X_nc_b)==0: continue\n", " th = fit_unpenalized_trunc(X_ae_b, X_nc_b, c, theta_hat)\n", " if th is not None: curves.append(post_curve_trunc(x_full, th, c))\n", " return np.asarray(curves)\n", "\n", "boot_ps = boot_param_stratified_trunc()\n", "boot_pns = boot_param_non_stratified_trunc()\n", "boot_nps = boot_nonparam_stratified_trunc()\n", "boot_npns = boot_nonparam_non_stratified_trunc()\n", "\n", "# ===================== 12) BCa bands =====================\n", "ci_ps_lo, ci_ps_hi = bca_from_boot(boot_ps, post_hat_full, JK_full)\n", "ci_pns_lo, ci_pns_hi = bca_from_boot(boot_pns, post_hat_full, JK_full)\n", "ci_nps_lo, ci_nps_hi = bca_from_boot(boot_nps, post_hat_full, JK_full)\n", "ci_npns_lo, ci_npns_hi = bca_from_boot(boot_npns, post_hat_full, JK_full)\n", "\n", "# ===================== 13) Plot (0..8; nothing drawn for x= c)\n", " m_center = mask_center & (x>=c) & np.isfinite(lo) & np.isfinite(hi)\n", " if m_center.any():\n", " plt.fill_between(x[m_center], lo[m_center], hi[m_center],\n", " color=color, alpha=alpha_center, label=label)\n", " label = None\n", " # right extrapolation\n", " m_right = mask_right & (x>=c) & np.isfinite(lo) & np.isfinite(hi)\n", " if m_right.any():\n", " plt.fill_between(x[m_right], lo[m_right], hi[m_right],\n", " color=color, alpha=alpha_right, label=label)\n", "\n", "plt.figure(figsize=(11,8))\n", "\n", "# Posterior: dashed left of c (undefined), solid inside, dashed right\n", "m_left = x_full < c\n", "m_mid = (x_full >= c) & (x_full <= xmax_data)\n", "m_right = x_full > xmax_data\n", "if m_left.any():\n", " plt.plot(x_full[m_left], np.zeros(m_left.sum()), color='k', ls='--', lw=1.2, alpha=0.6) # 0 prob placeholder\n", "plt.plot(x_full[m_mid], post_hat_full[m_mid], color='k', lw=2.2, label='Posterior (MLE, truncated)')\n", "if m_right.any():\n", " plt.plot(x_full[m_right], post_hat_full[m_right], color='k', ls='--', lw=1.4, alpha=0.7)\n", "\n", "# Bands\n", "fill_three_alpha(x_full, wald_lo_full, wald_hi_full, 'tab:red', 'Wald 95% (Delta)', 0.16, 0.07)\n", "fill_three_alpha(x_full, ci_ps_lo, ci_ps_hi, 'tab:blue', 'BCa 95% — Param STRAT')\n", "fill_three_alpha(x_full, ci_pns_lo, ci_pns_hi, 'tab:orange', 'BCa 95% — Param NON-STRAT')\n", "fill_three_alpha(x_full, ci_nps_lo, ci_nps_hi, 'tab:green', 'BCa 95% — Nonparam STRAT')\n", "fill_three_alpha(x_full, ci_npns_lo, ci_npns_hi, 'tab:purple', 'BCa 95% — Nonparam NON-STRAT')\n", "\n", "# Points only inside the plotting window [0,8] and >= c\n", "ae_mask = (X_ae >= c) & (X_ae <= 8.0)\n", "nc_mask = (X_nc >= c) & (X_nc <= 8.0)\n", "plt.scatter(X_ae[ae_mask], np.ones(ae_mask.sum()), s=28, label='AE')\n", "plt.scatter(X_nc[nc_mask], np.zeros(nc_mask.sum()), s=28, marker='x', label='NC')\n", "\n", "# Guides at c (truncation) and xmax\n", "plt.axvline(c, ls='--', lw=1, color='k', alpha=0.35)\n", "plt.axvline(xmax_data,ls='--', lw=1, color='k', alpha=0.35)\n", "\n", "plt.xlim(0.0, 8.0)\n", "plt.ylim(-0.05, 1.05)\n", "plt.xlabel('SUV'); plt.ylabel('P(AE | SUV)')\n", "plt.title(f'Left-truncated model at c={c:.2f}: Posterior & 5 CI bands (0–8)')\n", "plt.grid(True); plt.legend(ncol=2); plt.tight_layout(); plt.show()\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "210ebbbc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "----- Joint Fit (Beta prime AE, Lognormal NC) -----\n", "Estimated P_AE: 0.0862\n", "AE (Beta prime): a=227.7481, b=12.7237, scale=0.1254\n", "NC (Lognormal): shape=0.1885, scale=1.2838\n", "Unpenalized Joint LLF: -22.2489\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy.stats import lognorm, betaprime\n", "from scipy.optimize import minimize\n", "import matplotlib.pyplot as plt\n", "\n", "# --- your data here ---\n", "# X_ae = np.array([...]) # AE group (Beta prime)\n", "# X_nc = np.array([...]) # NC group (Lognormal)\n", "\n", "x_grid = np.linspace(0, 8, 1000)\n", "eps = 1e-12\n", "\n", "def neg_ll_with_overlap_penalty(params, lam=50.0, target_overlap=0.10):\n", " # params: [p_ae, ae_a, ae_b, ae_scale, nc_shape, nc_scale]\n", " p_ae, ae_a, ae_b, ae_scale, nc_shape, nc_scale = params\n", " if not (0 < p_ae < 1):\n", " return np.inf\n", "\n", " # Log-likelihood for AE group (Beta prime)\n", " ll_ae = np.sum(np.log(p_ae * betaprime.pdf(X_ae, ae_a, ae_b, loc=0, scale=ae_scale) + eps))\n", " # Log-likelihood for NC group (Lognormal)\n", " ll_nc = np.sum(np.log((1 - p_ae) * lognorm.pdf(X_nc, nc_shape, loc=0, scale=nc_scale) + eps))\n", "\n", " nll = -(ll_ae + ll_nc)\n", "\n", " # Overlap penalty\n", " f_ae_grid = betaprime.pdf(x_grid, ae_a, ae_b, loc=0, scale=ae_scale)\n", " f_nc_grid = lognorm.pdf(x_grid, nc_shape, loc=0, scale=nc_scale)\n", " overlap = np.trapz(np.minimum(f_ae_grid, f_nc_grid), x_grid)\n", "\n", " penalty = lam * max(0.0, (target_overlap - overlap))**2\n", " return nll + penalty\n", "\n", "# Initial guesses (tune as needed)\n", "init = [0.10, 2.0, 5.0, 1.0, 0.6, 1.5]\n", "\n", "# Bounds (keep parameters in sensible ranges)\n", "bounds = [\n", " (1e-3, 1-1e-3), # p_ae\n", " (1e-3, None), # ae_a\n", " (1e-3, None), # ae_b\n", " (1e-3, None), # ae_scale\n", " (1e-3, None), # nc_shape\n", " (1e-3, None), # nc_scale\n", "]\n", "\n", "res = minimize(neg_ll_with_overlap_penalty, init, bounds=bounds)\n", "\n", "# Extract fitted parameters\n", "p_ae, ae_a, ae_b, ae_scale, nc_shape, nc_scale = res.x\n", "\n", "# Unpenalized LLF\n", "def unpenalized_nll(params):\n", " p_ae, ae_a, ae_b, ae_scale, nc_shape, nc_scale = params\n", " ll_ae = np.sum(np.log(p_ae * betaprime.pdf(X_ae, ae_a, ae_b, loc=0, scale=ae_scale) + eps))\n", " ll_nc = np.sum(np.log((1 - p_ae) * lognorm.pdf(X_nc, nc_shape, loc=0, scale=nc_scale) + eps))\n", " return -(ll_ae + ll_nc)\n", "\n", "nll_unpen = unpenalized_nll(res.x)\n", "\n", "print(\"----- Joint Fit (Beta prime AE, Lognormal NC) -----\")\n", "print(f\"Estimated P_AE: {p_ae:.4f}\")\n", "print(f\"AE (Beta prime): a={ae_a:.4f}, b={ae_b:.4f}, scale={ae_scale:.4f}\")\n", "print(f\"NC (Lognormal): shape={nc_shape:.4f}, scale={nc_scale:.4f}\")\n", "print(f\"Unpenalized Joint LLF: {-nll_unpen:.4f}\")\n", "\n", "# Posterior curve\n", "x_vals = np.linspace(0, 8, 500)\n", "f_ae = betaprime.pdf(x_vals, ae_a, ae_b, loc=0, scale=ae_scale)\n", "f_nc = lognorm.pdf(x_vals, nc_shape, loc=0, scale=nc_scale)\n", "posterior_ae = (p_ae * f_ae) / (p_ae * f_ae + (1 - p_ae) * f_nc + eps)\n", "\n", "# Plot\n", "plt.figure(figsize=(10,7))\n", "plt.plot(x_vals, f_ae, label='Beta prime PDF (AE)', color='red')\n", "plt.plot(x_vals, f_nc, label='Lognormal PDF (NC)', color='blue')\n", "plt.plot(x_vals, posterior_ae, label='Posterior P(AE|x)', color='purple')\n", "plt.scatter(X_ae, np.ones_like(X_ae), color='red', marker='o', label='AE samples (flag=1)')\n", "plt.scatter(X_nc, np.zeros_like(X_nc), color='blue', marker='x', label='NC samples (flag=0)')\n", "plt.xlabel('SUV'); plt.ylabel('Probability / Flag')\n", "plt.title('Posterior (Beta prime AE, Lognormal NC)')\n", "plt.ylim(-0.1, 1.1); plt.grid(True); plt.legend(); plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "f1b2a9af", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AE count: 5, NC count: 53\n", "Optimization success: True CONVERGENCE: RELATIVE REDUCTION OF F <= FACTR*EPSMCH\n", "θ̂ = {'p_ae': 0.882660345469234, 'ae_shape(σ)': 0.2, 'ae_scale(exp(μ))': 3.496287244859418, 'nc_shape(k)': 8.413102257907967, 'nc_scale(θ)': 0.48321976417510265}\n", "Conditional log-likelihood: -6.004758380775114\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.io import loadmat\n", "from scipy import optimize, stats\n", "\n", "\n", "# -----------------------------\n", "data_path = \"../data/\"\n", "suv_file = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_file = data_path + \"flags_combined.mat\"\n", "\n", "suv = loadmat(suv_file)['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = loadmat(flags_file)['flags'][0:58, 3]\n", "\n", "\n", "# -----------------------------\n", "p = 94 # column index you want\n", "# nanmax over axis=1 → max across slices, keep p-th column\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1)\n", "y = flags.flatten().astype(int)\n", "\n", "# Check AE / NC counts\n", "n1, n0 = int(np.sum(y == 1)), int(np.sum(y == 0))\n", "print(f\"AE count: {n1}, NC count: {n0}\")\n", "\n", "\n", "# -----------------------------\n", "bounds = [\n", " (1e-3, 1-1e-3), # p_ae\n", " (0.20, 1.50), # ae_shape (sigma)\n", " (0.8, 3.5), # ae_scale (exp(mu))\n", " (2.0, 12.0), # nc_shape (k)\n", " (0.03, 0.50), # nc_scale (theta)\n", "]\n", "\n", "def _logpdf_lognorm(x, s, scale):\n", " return stats.lognorm.logpdf(x, s=s, scale=scale)\n", "\n", "def _logpdf_gamma(x, k, scale):\n", " return stats.gamma.logpdf(x, a=k, scale=scale)\n", "\n", "def neg_conditional_loglik(theta, X, y, eps=1e-12):\n", " p_ae, ae_s, ae_scale, nc_k, nc_scale = theta\n", " logf1 = _logpdf_lognorm(X, s=ae_s, scale=ae_scale)\n", " logf0 = _logpdf_gamma(X, k=nc_k, scale=nc_scale)\n", " logit = np.log(p_ae) - np.log(1.0 - p_ae) + (logf1 - logf0)\n", " p = 1.0 / (1.0 + np.exp(-np.clip(logit, -40, 40)))\n", " ll = np.sum(y * np.log(p + eps) + (1 - y) * np.log(1 - p + eps))\n", " return -ll\n", "\n", "# Initialize from class-specific MLEs\n", "# -----------------------------\n", "p0 = np.clip(n1 / (n1 + n0), bounds[0][0], bounds[0][1])\n", "\n", "X1 = X[y == 1]\n", "mu_hat = np.mean(np.log(X1))\n", "sigma_hat = np.std(np.log(X1), ddof=0)\n", "ae_shape0 = np.clip(sigma_hat, bounds[1][0], bounds[1][1])\n", "ae_scale0 = np.clip(np.exp(mu_hat), bounds[2][0], bounds[2][1])\n", "\n", "X0 = X[y == 0]\n", "mean0, var0 = float(np.mean(X0)), float(np.var(X0, ddof=0))\n", "k0 = mean0**2 / max(var0, 1e-8)\n", "theta0_gamma = var0 / max(mean0, 1e-8)\n", "nc_shape0 = np.clip(k0, bounds[3][0], bounds[3][1])\n", "nc_scale0 = np.clip(theta0_gamma, bounds[4][0], bounds[4][1])\n", "\n", "theta0 = np.array([p0, ae_shape0, ae_scale0, nc_shape0, nc_scale0], dtype=float)\n", "\n", "# Optimize\n", "# -----------------------------\n", "res = optimize.minimize(\n", " fun=neg_conditional_loglik,\n", " x0=theta0,\n", " args=(X, y),\n", " method=\"L-BFGS-B\",\n", " bounds=bounds,\n", " options=dict(maxiter=1000, ftol=1e-12)\n", ")\n", "\n", "theta_hat = res.x\n", "print(\"Optimization success:\", res.success, res.message)\n", "print(\"θ̂ =\", {\n", " \"p_ae\": float(theta_hat[0]),\n", " \"ae_shape(σ)\": float(theta_hat[1]),\n", " \"ae_scale(exp(μ))\": float(theta_hat[2]),\n", " \"nc_shape(k)\": float(theta_hat[3]),\n", " \"nc_scale(θ)\": float(theta_hat[4]),\n", "})\n", "print(\"Conditional log-likelihood:\", -res.fun)\n", "\n", "# Posterior function\n", "# -----------------------------\n", "def predict_proba(x, theta=theta_hat):\n", " p_ae, ae_s, ae_scale, nc_k, nc_scale = theta\n", " x = np.asarray(x, dtype=float)\n", " logf1 = _logpdf_lognorm(x, s=ae_s, scale=ae_scale)\n", " logf0 = _logpdf_gamma(x, k=nc_k, scale=nc_scale)\n", " logit = np.log(p_ae) - np.log(1.0 - p_ae) + (logf1 - logf0)\n", " return 1.0 / (1.0 + np.exp(-np.clip(logit, -40, 40)))\n", "\n", "\n", "# -----------------------------\n", "x_grid = np.linspace(0.8, 4.2, 500)\n", "p_grid = predict_proba(x_grid)\n", "\n", "plt.figure(figsize=(8, 5))\n", "plt.plot(x_grid, p_grid, 'k-', linewidth=2, label=\"P(AE | X)\")\n", "plt.scatter(X[y == 1], np.ones(sum(y == 1)), color=\"red\", marker=\"x\", label=\"AE samples\")\n", "plt.scatter(X[y == 0], np.zeros(sum(y == 0)), color=\"blue\", marker=\"o\", label=\"NC samples\")\n", "plt.xlabel(\"SUV feature X\")\n", "plt.ylabel(\"Predicted P(AE | X)\")\n", "plt.title(f\"S-shape Posterior Curve (p={p})\")\n", "plt.ylim(-0.05, 1.05)\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "0b575d1a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 78, "id": "a0bedb3b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x@50% posterior ≈ 2.0158\n" ] } ], "source": [ "from scipy.optimize import brentq\n", "\n", "def pAE(x): # uses the predict_proba from the script\n", " return float(predict_proba(x))\n", "\n", "x_min, x_max = max(1e-6, X.min()*0.6), X.max()*1.4\n", "x50 = brentq(lambda z: pAE(z) - 0.5, x_min, x_max)\n", "print(f\"x@50% posterior ≈ {x50:.4f}\")\n" ] }, { "cell_type": "code", "execution_count": 17, "id": "b18dba89", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AE=5, NC=53\n", "Success: True CONVERGENCE: RELATIVE REDUCTION OF F <= FACTR*EPSMCH\n", "θ̂ = {'p_ae': 0.0012716226303905436, 'AE: a': 2.610978556687282, 'AE: b': 0.6842174436338696, 'AE: scale': 0.7233338108958836, 'NC: mu': -0.774834507901254, 'NC: sigma': 0.3693312232297712}\n", "Conditional log-likelihood: -7.168483155204923\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize, stats\n", "from scipy.io import loadmat\n", "\n", "data_path = \"../data/\"\n", "suv = loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3]\n", "\n", "p = 94\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1).astype(float)\n", "y = flags.flatten().astype(int)\n", "\n", "\n", "assert np.all(X > 0), \"All X must be > 0\"\n", "\n", "n1, n0 = int(y.sum()), int((1-y).sum())\n", "print(f\"AE={n1}, NC={n0}\")\n", "\n", "# -----------------------------\n", "# Model: AE ~ BetaPrime(a,b,scale), NC ~ LogNormal(mu,sigma)\n", "# theta = [p_ae, a, b, sc, mu_nc, sig_nc]\n", "# We constrain b <= 1.0 to enforce heavy AE tail -> P(AE|x)->1 at large x.\n", "# -----------------------------\n", "def logpdf_betaprime(x, a, b, scale):\n", " return stats.betaprime.logpdf(x, a=a, b=b, scale=scale)\n", "\n", "def logpdf_lognorm(x, mu, sigma):\n", " return stats.lognorm.logpdf(x, s=sigma, scale=np.exp(mu))\n", "\n", "def neg_conditional_ll(theta, X, y, eps=1e-12):\n", " p_ae, a, b, sc, mu_nc, sig_nc = theta\n", " logf1 = logpdf_betaprime(X, a, b, sc) # AE\n", " logf0 = logpdf_lognorm(X, mu_nc, sig_nc) # NC\n", " logit = np.log(p_ae) - np.log(1.0 - p_ae) + (logf1 - logf0)\n", " p = 1.0 / (1.0 + np.exp(-np.clip(logit, -50, 50)))\n", " return -np.sum(y*np.log(p+eps) + (1-y)*np.log(1-p+eps))\n", "\n", "# Bounds (conservative & stable)\n", "bounds = [\n", " (1e-3, 1-1e-3), # p_ae\n", " (0.20, 50.0), # a\n", " (0.20, 1.00), # b <-- HEAVY TAIL (upper bound 1.0)\n", " (0.01, 10.0), # scale\n", " (np.log(X).min()-2.0, np.log(X).max()+2.0), # mu_nc\n", " (0.05, 2.0), # sigma_nc\n", "]\n", "\n", "# Init\n", "p0 = np.clip(n1/(n1+n0), bounds[0][0], bounds[0][1])\n", "\n", "X0 = X[y==0]\n", "mu0 = float(np.mean(np.log(X0)))\n", "sig0 = float(np.std(np.log(X0), ddof=0))\n", "mu0 = np.clip(mu0, bounds[4][0], bounds[4][1])\n", "sig0 = np.clip(sig0, bounds[5][0], bounds[5][1])\n", "\n", "X1 = X[y==1]\n", "m1 = float(np.mean(X1))\n", "a0, b0 = 2.5, 0.8 # b0 < 1 to start heavy\n", "sc0 = np.clip(m1 * (b0 - 1 + 1e-6) / max(a0, 1e-6), bounds[3][0], bounds[3][1]) # keep finite\n", "theta0 = np.array([p0, a0, b0, sc0, mu0, sig0], dtype=float)\n", "\n", "# Optimize\n", "res = optimize.minimize(\n", " fun=neg_conditional_ll,\n", " x0=theta0,\n", " args=(X, y),\n", " method=\"L-BFGS-B\",\n", " bounds=bounds,\n", " options=dict(maxiter=4000, ftol=1e-12)\n", ")\n", "\n", "p_hat, a_hat, b_hat, sc_hat, mu_hat, sig_hat = res.x\n", "print(\"Success:\", res.success, res.message)\n", "print(\"θ̂ =\", {\n", " \"p_ae\": float(p_hat),\n", " \"AE: a\": float(a_hat), \"AE: b\": float(b_hat), \"AE: scale\": float(sc_hat),\n", " \"NC: mu\": float(mu_hat), \"NC: sigma\": float(sig_hat)\n", "})\n", "print(\"Conditional log-likelihood:\", -res.fun)\n", "\n", "def predict_proba(x):\n", " x = np.asarray(x, dtype=float)\n", " logf1 = logpdf_betaprime(x, a_hat, b_hat, sc_hat)\n", " logf0 = logpdf_lognorm(x, mu_hat, sig_hat)\n", " logit = np.log(p_hat) - np.log(1.0 - p_hat) + (logf1 - logf0)\n", " return 1.0 / (1.0 + np.exp(-np.clip(logit, -50, 50)))\n", "\n", "# Plot (extend range to show right-hand asymptote)\n", "x_min = max(1e-6, X.min()*0.6)\n", "x_max = max(X.max()*2.0, 8.0)\n", "x_grid = np.linspace(x_min, x_max, 600)\n", "p_grid = predict_proba(x_grid)\n", "\n", "plt.figure(figsize=(8,5))\n", "plt.plot(x_grid, p_grid, 'k-', linewidth=2, label=\"P(AE | X)\")\n", "plt.scatter(X[y==1], np.ones(n1), marker='x', label=\"AE samples\")\n", "plt.scatter(X[y==0], np.zeros(n0), marker='o', label=\"NC samples\")\n", "plt.xlabel(\"SUV feature X\")\n", "plt.ylabel(\"Predicted P(AE | X)\")\n", "plt.title(\"Posterior with AE~BetaPrime (b≤1), NC~LogNormal\")\n", "plt.ylim(-0.05, 1.05)\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "805db125", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AE=5, NC=53\n", "\n", "Fitted parameters:\n", " p_AE (estimated) = 0.0014\n", " AE BetaPrime: a=50.0000, b=49.8867, scale=2.4469\n", " NC LogNormal: mu=-1.7836, sigma=0.6986\n", " Conditional log-likelihood = -6.047066\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.0014305442393732091\n", "0.08620689655172414\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize, stats\n", "\n", "# -----------------------------\n", "# Data (AE=1, NC=0)\n", "# -----------------------------\n", "X = np.array([\n", " 2.10530186, 1.53638256, 1.27440464, 1.18793511, 1.67463589, 0.99560964,\n", " 1.29951334, 1.4487505, 1.41323006, 0.97716498, 4.15183592, 1.21824968,\n", " 1.41615129, 1.03924823, 0.95176142, 1.16912568, 1.27644777, 2.09301472,\n", " 1.40332818, 1.31390798, 1.26484132, 1.01535118, 0.87748241, 1.47154474,\n", " 1.3867569, 1.48594308, 1.12360644, 1.45436275, 1.47734261, 0.97777778,\n", " 1.36616147, 1.15132082, 1.50168598, 1.14430678, 1.19095373, 2.2312088,\n", " 1.40842247, 0.7728464, 1.23352277, 1.20050025, 1.54410601, 1.43738627,\n", " 1.40753829, 1.30866444, 1.46020007, 1.29942894, 1.26122737, 1.17339683,\n", " 1.78620076, 1.2313168, 0.97633207, 1.22268689, 1.53426397, 2.48122597,\n", " 1.51956749, 1.55983913, 1.23462415, 1.43941736\n", "], dtype=float)\n", "\n", "y = np.array([\n", " 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\n", "], dtype=int)\n", "\n", "n1, n0 = int(y.sum()), int((1-y).sum())\n", "print(f\"AE={n1}, NC={n0}\")\n", "\n", "# -----------------------------\n", "# Model: AE ~ BetaPrime(a,b,scale), NC ~ LogNormal(mu, sigma)\n", "# θ = [p_ae, a, b, sc, mu_nc, sig_nc]\n", "# -----------------------------\n", "def logpdf_betaprime(x, a, b, scale):\n", " return stats.betaprime.logpdf(x, a=a, b=b, scale=scale)\n", "\n", "def logpdf_lognorm(x, mu, sigma):\n", " return stats.lognorm.logpdf(x, s=sigma, scale=np.exp(mu))\n", "\n", "def neg_conditional_ll(theta, X, y, eps=1e-12):\n", " p_ae, a, b, sc, mu_nc, sig_nc = theta\n", " logf1 = logpdf_betaprime(X, a, b, sc)\n", " logf0 = logpdf_lognorm(X, mu_nc, sig_nc)\n", " logit = np.log(p_ae) - np.log(1.0 - p_ae) + (logf1 - logf0)\n", " p = 1.0 / (1.0 + np.exp(-np.clip(logit, -50, 50)))\n", " return -np.sum(y*np.log(p+eps) + (1-y)*np.log(1-p+eps))\n", "\n", "# Bounds — no fixed prior, p_ae is free\n", "bounds = [\n", " (1e-3, 1-1e-3), # p_ae\n", " (0.20, 50.0), # a\n", " (0.20, 50.0), # b\n", " (0.01, 10.0), # scale\n", " (np.log(X).min()-2.0, np.log(X).max()+2.0), # mu_nc\n", " (0.05, 2.0), # sigma_nc\n", "]\n", "\n", "# Initial guesses\n", "p0 = np.clip(n1/(n1+n0), bounds[0][0], bounds[0][1])\n", "X0 = X[y==0]\n", "mu0 = np.mean(np.log(X0))\n", "sig0 = np.std(np.log(X0), ddof=0)\n", "X1 = X[y==1]\n", "m1 = np.mean(X1)\n", "a0, b0 = 2.0, 5.0\n", "sc0 = np.clip(m1 * (b0 - 1) / a0, bounds[3][0], bounds[3][1])\n", "theta0 = np.array([p0, a0, b0, sc0, mu0, sig0], dtype=float)\n", "\n", "# Fit\n", "res = optimize.minimize(\n", " fun=neg_conditional_ll,\n", " x0=theta0,\n", " args=(X, y),\n", " method=\"L-BFGS-B\",\n", " bounds=bounds,\n", " options=dict(maxiter=4000, ftol=1e-12)\n", ")\n", "\n", "theta_hat = res.x\n", "p_hat, a_hat, b_hat, sc_hat, mu_hat, sig_hat = theta_hat\n", "print(\"\\nFitted parameters:\")\n", "print(f\" p_AE (estimated) = {p_hat:.4f}\")\n", "print(f\" AE BetaPrime: a={a_hat:.4f}, b={b_hat:.4f}, scale={sc_hat:.4f}\")\n", "print(f\" NC LogNormal: mu={mu_hat:.4f}, sigma={sig_hat:.4f}\")\n", "print(f\" Conditional log-likelihood = {-res.fun:.6f}\")\n", "\n", "# Posterior function\n", "def predict_proba(x):\n", " x = np.asarray(x, dtype=float)\n", " logf1 = logpdf_betaprime(x, a_hat, b_hat, sc_hat)\n", " logf0 = logpdf_lognorm(x, mu_hat, sig_hat)\n", " logit = np.log(p_hat) - np.log(1.0 - p_hat) + (logf1 - logf0)\n", " return 1.0 / (1.0 + np.exp(-np.clip(logit, -50, 50)))\n", "\n", "# Plot\n", "x_grid = np.linspace(max(1e-6, X.min()*0.6), X.max()*2.0, 600)\n", "p_grid = predict_proba(x_grid)\n", "\n", "plt.figure(figsize=(8,5))\n", "plt.plot(x_grid, p_grid, 'k-', linewidth=2, label=\"P(AE | X)\")\n", "plt.scatter(X[y==1], np.ones(n1), marker='x', label=\"AE samples\")\n", "plt.scatter(X[y==0], np.zeros(n0), marker='o', label=\"NC samples\")\n", "plt.xlabel(\"SUV feature X\")\n", "plt.ylabel(\"Predicted P(AE | X)\")\n", "plt.title(\"BetaPrime–LogNormal with Estimated p_AE\")\n", "plt.ylim(-0.05, 1.05)\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()\n", "print(p_hat)\n", "print(p0)\n", " \n" ] }, { "cell_type": "code", "execution_count": null, "id": "5d1d51bf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AE=5, NC=53, empirical p_AE=0.086207\n", "\n", "[FREE prior] p_AE = 0.999 CLL = -6.399132849203291\n", "[MAP prior] p_AE = 0.07798005221756935 CLL(post) = -33.35631454827528\n", "\n", "Fitted (MAP) parameters:\n", " p_AE = 0.077980 (empirical 0.086207, TAU=100.0)\n", " AE BetaPrime: a=50.0000, b=1.0000, scale=0.2996\n", " NC LogNormal: mu=-2.2577, sigma=0.7968\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize, stats\n", "\n", "\n", "\n", "assert np.all(X > 0), \"All X must be > 0\"\n", "\n", "n1, n0 = int(y.sum()), int((1-y).sum())\n", "m_emp = n1 / (n1 + n0) \n", "print(f\"AE={n1}, NC={n0}, empirical p_AE={m_emp:.6f}\")\n", "\n", "\n", "# Model: AE ~ BetaPrime(a,b,scale), NC ~ LogNormal(mu, sigma)\n", "# θ = [p_ae, a, b, sc, mu_nc, sig_nc]\n", "\n", "def logpdf_betaprime(x, a, b, scale):\n", " return stats.betaprime.logpdf(x, a=a, b=b, scale=scale)\n", "\n", "def logpdf_lognorm(x, mu, sigma):\n", " return stats.lognorm.logpdf(x, s=sigma, scale=np.exp(mu))\n", "\n", "def neg_conditional_ll(theta, X, y, eps=1e-12):\n", " p_ae, a, b, sc, mu_nc, sig_nc = theta\n", " logf1 = logpdf_betaprime(X, a, b, sc) # AE\n", " logf0 = logpdf_lognorm(X, mu_nc, sig_nc) # NC\n", " logit = np.log(p_ae) - np.log(1.0 - p_ae) + (logf1 - logf0)\n", " p = 1.0 / (1.0 + np.exp(-np.clip(logit, -50, 50)))\n", " return -np.sum(y*np.log(p+eps) + (1-y)*np.log(1-p+eps))\n", "\n", "# =========================\n", "# MAP regularization \n", "# mean = m_emp, concentration = TAU\n", "# alpha = m_emp * TAU, beta = (1-m_emp) * TAU\n", "# =========================\n", "TAU = 100.0 # ↑ increase to pull p_AE closer to empirical prior\n", "alpha = max(m_emp * TAU, 1e-6)\n", "beta = max((1 - m_emp) * TAU, 1e-6)\n", "\n", "def neg_log_prior_p(p, eps=1e-12):\n", " # -log Beta(p | alpha, beta) up to a constant\n", " return -( (alpha - 1)*np.log(p + eps) + (beta - 1)*np.log(1 - p + eps) )\n", "\n", "def neg_posterior(theta, X, y):\n", " nll = neg_conditional_ll(theta, X, y)\n", " return nll + neg_log_prior_p(theta[0]) # add prior penalty on p_AE only\n", "\n", "# Bounds (optionally enforce heavy AE tail with b ≤ 1)\n", "# =========================\n", "HEAVY_TAIL = True # set False if you don't want to force the right asymptote\n", "b_upper = 1.0 if HEAVY_TAIL else 50.0\n", "\n", "bounds = [\n", " (1e-3, 1-1e-3), # p_ae (free, but regularized by Beta prior)\n", " (0.20, 50.0), # a (AE BetaPrime)\n", " (0.20, b_upper), # b (AE BetaPrime) <-- heavy tail if ≤ 1\n", " (0.01, 10.0), # scale (AE BetaPrime)\n", " (np.log(X).min()-2.0, np.log(X).max()+2.0), # mu_nc (LogNormal)\n", " (0.05, 2.0), # sigma_nc (LogNormal)\n", "]\n", "\n", "\n", "# Initialization\n", "p0 = np.clip(m_emp, bounds[0][0], bounds[0][1])\n", "\n", "X0 = X[y==0]\n", "mu0 = float(np.mean(np.log(X0)))\n", "sig0 = float(np.std(np.log(X0), ddof=0))\n", "mu0 = np.clip(mu0, bounds[4][0], bounds[4][1])\n", "sig0 = np.clip(sig0, bounds[5][0], bounds[5][1])\n", "\n", "X1 = X[y==1]\n", "m1 = float(np.mean(X1))\n", "a0, b0 = 2.5, min(0.8, b_upper) # start with heavy-tail-ish b if allowed\n", "sc0 = np.clip(m1 * (b0 - 1 + 1e-6) / max(a0, 1e-6), bounds[3][0], bounds[3][1])\n", "\n", "theta0 = np.array([p0, a0, b0, sc0, mu0, sig0], dtype=float)\n", "\n", "# FREE prior (for comparison)\n", "# =========================\n", "res_free = optimize.minimize(\n", " fun=neg_conditional_ll,\n", " x0=theta0,\n", " args=(X, y),\n", " method=\"L-BFGS-B\",\n", " bounds=bounds,\n", " options=dict(maxiter=4000, ftol=1e-12)\n", ")\n", "theta_free = res_free.x\n", "print(\"\\n[FREE prior] p_AE =\", float(theta_free[0]), \" CLL =\", -res_free.fun)\n", "\n", "# MAP prior (regularized toward empirical)\n", "# =========================\n", "res_map = optimize.minimize(\n", " fun=neg_posterior,\n", " x0=theta0,\n", " args=(X, y),\n", " method=\"L-BFGS-B\",\n", " bounds=bounds,\n", " options=dict(maxiter=4000, ftol=1e-12)\n", ")\n", "theta_map = res_map.x\n", "print(\"[MAP prior] p_AE =\", float(theta_map[0]), \" CLL(post) =\", -res_map.fun)\n", "\n", "# MAP parameters\n", "p_hat, a_hat, b_hat, sc_hat, mu_hat, sig_hat = theta_map\n", "print(\"\\nFitted (MAP) parameters:\")\n", "print(f\" p_AE = {p_hat:.6f} (empirical {m_emp:.6f}, TAU={TAU})\")\n", "print(f\" AE BetaPrime: a={a_hat:.4f}, b={b_hat:.4f}, scale={sc_hat:.4f}\")\n", "print(f\" NC LogNormal: mu={mu_hat:.4f}, sigma={sig_hat:.4f}\")\n", "\n", "\n", "# Posterior & plot \n", "\n", "def predict_proba(x):\n", " x = np.asarray(x, dtype=float)\n", " logf1 = logpdf_betaprime(x, a_hat, b_hat, sc_hat)\n", " logf0 = logpdf_lognorm(x, mu_hat, sig_hat)\n", " logit = np.log(p_hat) - np.log(1.0 - p_hat) + (logf1 - logf0)\n", " return 1.0 / (1.0 + np.exp(-np.clip(logit, -50, 50)))\n", "\n", "x_grid = np.linspace(max(1e-6, X.min()*0.6), max(X.max()*2.0, 8.0), 600)\n", "p_grid = predict_proba(x_grid)\n", "\n", "plt.figure(figsize=(8,5))\n", "plt.plot(x_grid, p_grid, 'k-', linewidth=2, label=\"P(AE | X) [MAP]\")\n", "plt.scatter(X[y==1], np.ones(n1), marker='x', label=\"AE samples\")\n", "plt.scatter(X[y==0], np.zeros(n0), marker='o', label=\"NC samples\")\n", "plt.xlabel(\"SUV feature X\"); plt.ylabel(\"Predicted P(AE | X)\")\n", "plt.title(\"BetaPrime–LogNormal with MAP prior on p_AE\")\n", "plt.ylim(-0.05, 1.05); plt.legend(); plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "6fb8a349", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AE=5, NC=53, empirical p_AE=0.086207\n", "Success: True CONVERGENCE: NORM OF PROJECTED GRADIENT <= PGTOL\n", "θ̂ (MAP) = {'p_AE': 0.0511632468853203, 'AE BetaPrime: a': 50.0, 'b': 1.0, 'scale': 0.2905731592518615, 'NC LogNormal: mu': -2.2576749564783745, 'sigma': 0.7799153558812788}\n", "Conditional log-likelihood: -6.5855414421417855\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize, stats\n", "\n", "# -----------------------------\n", "# Data (replace with your own X, y arrays if needed)\n", "# -----------------------------\n", "X = np.array([\n", " 2.10530186, 1.53638256, 1.27440464, 1.18793511, 1.67463589, 0.99560964,\n", " 1.29951334, 1.4487505, 1.41323006, 0.97716498, 4.15183592, 1.21824968,\n", " 1.41615129, 1.03924823, 0.95176142, 1.16912568, 1.27644777, 2.09301472,\n", " 1.40332818, 1.31390798, 1.26484132, 1.01535118, 0.87748241, 1.47154474,\n", " 1.3867569, 1.48594308, 1.12360644, 1.45436275, 1.47734261, 0.97777778,\n", " 1.36616147, 1.15132082, 1.50168598, 1.14430678, 1.19095373, 2.2312088,\n", " 1.40842247, 0.7728464, 1.23352277, 1.20050025, 1.54410601, 1.43738627,\n", " 1.40753829, 1.30866444, 1.46020007, 1.29942894, 1.26122737, 1.17339683,\n", " 1.78620076, 1.2313168, 0.97633207, 1.22268689, 1.53426397, 2.48122597,\n", " 1.51956749, 1.55983913, 1.23462415, 1.43941736\n", "], dtype=float)\n", "\n", "y = np.array([\n", " 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\n", "], dtype=int)\n", "\n", "assert np.all(X > 0)\n", "n1, n0 = int(y.sum()), int((1-y).sum())\n", "m_emp = n1/(n1+n0)\n", "print(f\"AE={n1}, NC={n0}, empirical p_AE={m_emp:.6f}\")\n", "\n", "# -----------------------------\n", "# Likelihoods\n", "# -----------------------------\n", "def logpdf_ae(x, a, b, sc):\n", " return stats.betaprime.logpdf(x, a=a, b=b, scale=sc)\n", "\n", "def logpdf_nc(x, mu, sig):\n", " return stats.lognorm.logpdf(x, s=sig, scale=np.exp(mu))\n", "\n", "# Conditional NLL\n", "def neg_conditional_ll(theta, X, y, eps=1e-12):\n", " p, a, b, sc, mu, sig = theta\n", " logf1 = logpdf_ae(X, a, b, sc)\n", " logf0 = logpdf_nc(X, mu, sig)\n", " logit = np.log(p) - np.log(1-p) + (logf1 - logf0)\n", " p_x = 1.0 / (1.0 + np.exp(-np.clip(logit, -50, 50)))\n", " return -np.sum(y*np.log(p_x+eps) + (1-y)*np.log(1-p_x+eps))\n", "\n", "# -----------------------------\n", "# MAP regularization on p toward empirical (Beta prior)\n", "# -----------------------------\n", "TAU = 25.0 # moderate pull\n", "alpha = max(m_emp*TAU, 1e-6)\n", "beta = max((1 - m_emp)*TAU, 1e-6)\n", "\n", "def neg_log_prior_p(p, eps=1e-12):\n", " return -( (alpha - 1)*np.log(p + eps) + (beta - 1)*np.log(1 - p + eps) )\n", "\n", "def neg_posterior(theta, X, y):\n", " nll = neg_conditional_ll(theta, X, y)\n", " return nll + neg_log_prior_p(theta[0])\n", "\n", "# -----------------------------\n", "# Bounds & init\n", "# -----------------------------\n", "HEAVY_TAIL = True\n", "b_upper = 1.0 if HEAVY_TAIL else 50.0\n", "\n", "bounds = [\n", " (1e-3, 1-1e-3), # p_AE\n", " (0.2, 50.0), # a\n", " (0.2, b_upper), # b\n", " (0.01, 10.0), # scale\n", " (np.log(X).min()-2.0, np.log(X).max()+2.0), # mu\n", " (0.05, 2.0), # sigma\n", "]\n", "\n", "# reasonable starts\n", "p0 = np.clip(m_emp, bounds[0][0], bounds[0][1])\n", "X0 = X[y==0]; mu0 = float(np.mean(np.log(X0))); sig0 = float(np.std(np.log(X0), ddof=0))\n", "X1 = X[y==1]; m1 = float(np.mean(X1))\n", "a0, b0 = 2.5, min(0.8, b_upper)\n", "sc0 = np.clip(m1 * (b0 - 1 + 1e-6)/max(a0,1e-6), bounds[3][0], bounds[3][1])\n", "theta0 = np.array([p0, a0, b0, sc0, mu0, max(sig0, 0.05)], dtype=float)\n", "\n", "# -----------------------------\n", "# Fit MAP\n", "# -----------------------------\n", "res_map = optimize.minimize(\n", " fun=neg_posterior, x0=theta0, args=(X,y),\n", " method=\"L-BFGS-B\", bounds=bounds, options=dict(maxiter=4000, ftol=1e-12)\n", ")\n", "\n", "p_hat, a_hat, b_hat, sc_hat, mu_hat, sig_hat = res_map.x\n", "print(\"Success:\", res_map.success, res_map.message)\n", "print(\"θ̂ (MAP) =\", {\n", " \"p_AE\": float(p_hat),\n", " \"AE BetaPrime: a\": float(a_hat), \"b\": float(b_hat), \"scale\": float(sc_hat),\n", " \"NC LogNormal: mu\": float(mu_hat), \"sigma\": float(sig_hat)\n", "})\n", "print(\"Conditional log-likelihood:\", -neg_conditional_ll(res_map.x, X, y))\n", "\n", "# -----------------------------\n", "# Posterior curve\n", "# -----------------------------\n", "def predict_proba(x):\n", " x = np.asarray(x, dtype=float)\n", " logf1 = logpdf_ae(x, a_hat, b_hat, sc_hat)\n", " logf0 = logpdf_nc(x, mu_hat, sig_hat)\n", " logit = np.log(p_hat) - np.log(1-p_hat) + (logf1 - logf0)\n", " return 1.0 / (1.0 + np.exp(-np.clip(logit, -50, 50)))\n", "\n", "x_grid = np.linspace(max(1e-6, X.min()*0.6), max(X.max()*2.0, 8.0), 600)\n", "p_grid = predict_proba(x_grid)\n", "\n", "plt.figure(figsize=(8,5))\n", "plt.plot(x_grid, p_grid, '-', linewidth=2, label=\"P(AE | X) [MAP tuned]\")\n", "plt.scatter(X[y==1], np.ones(n1), marker='x', label=\"AE samples\")\n", "plt.scatter(X[y==0], np.zeros(n0), marker='o', label=\"NC samples\")\n", "plt.xlabel(\"SUV feature X\"); plt.ylabel(\"Predicted P(AE | X)\")\n", "plt.title(\"MAP tuned without Overlap Penalty (b ≤ 1)\")\n", "plt.ylim(-0.05, 1.05); plt.legend(); plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 22, "id": "64bd050a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AE=5, NC=53, empirical p_AE=0.086207\n", "\n", "Fitted parameters: [ 0.04125879 20. 1. 0.73252118 -1.75767496 0.64826057]\n", "CI_95[p_AE]: (-0.0507, 0.1332)\n", "CI_95[a]: (-92.5833, 132.5833)\n", "CI_95[b]: (-12.4787, 14.4787)\n", "CI_95[scale]: (-3.6619, 5.1270)\n", "CI_95[mu_nc]: (-8.2165, 4.7011)\n", "CI_95[sigma_nc]: (-0.7381, 2.0346)\n", "\n", "Profile CI for p_AE: (0.0100, 0.1913)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize, stats\n", "from numpy.linalg import inv\n", "\n", "# =====================================\n", "# 1) Data summary\n", "# =====================================\n", "assert np.all(X > 0)\n", "n1, n0 = int(y.sum()), int((1-y).sum())\n", "m_emp = n1/(n1+n0)\n", "print(f\"AE={n1}, NC={n0}, empirical p_AE={m_emp:.6f}\")\n", "\n", "# =====================================\n", "# 2) Likelihood definitions\n", "# =====================================\n", "def logpdf_ae(x, a, b, sc):\n", " return stats.betaprime.logpdf(x, a=a, b=b, scale=sc)\n", "\n", "def logpdf_nc(x, mu, sig):\n", " return stats.lognorm.logpdf(x, s=sig, scale=np.exp(mu))\n", "\n", "def neg_conditional_ll(theta, X, y, eps=1e-12):\n", " p, a, b, sc, mu, sig = theta\n", " if not (0 < p < 1):\n", " return np.inf\n", " logf1 = logpdf_ae(X, a, b, sc)\n", " logf0 = logpdf_nc(X, mu, sig)\n", " logit = np.log(p) - np.log(1-p) + (logf1 - logf0)\n", " p_x = 1.0 / (1.0 + np.exp(-np.clip(logit, -50, 50)))\n", " return -np.sum(y*np.log(p_x+eps) + (1-y)*np.log(1-p_x+eps))\n", "\n", "# =====================================\n", "# 3) MAP prior (Beta prior on p_AE)\n", "# =====================================\n", "def make_neg_posterior(TAU, m_emp):\n", " alpha = max(m_emp*TAU, 1e-8)\n", " beta = max((1-m_emp)*TAU, 1e-8)\n", " def neg_post(theta, X, y):\n", " p = theta[0]\n", " nll = neg_conditional_ll(theta, X, y)\n", " penalty = -((alpha-1)*np.log(p+1e-12) + (beta-1)*np.log(1-p+1e-12))\n", " return nll + penalty\n", " return neg_post\n", "\n", "# =====================================\n", "# 4) Fit the model\n", "# =====================================\n", "USE_MAP = True\n", "TAU = 20.0\n", "HEAVY_TAIL = True\n", "\n", "b_upper = 1.0 if HEAVY_TAIL else 50.0\n", "bounds = [\n", " (1e-3, 1-1e-3), # p_AE\n", " (0.3, 20.0), # a\n", " (0.2, b_upper), # b\n", " (0.01, 5.0), # scale\n", " (np.log(X).min()-1.5, np.log(X).max()+1.5), # mu\n", " (0.05, 1.50), # sigma\n", "]\n", "\n", "# Initial guess\n", "p0 = np.clip(m_emp, bounds[0][0], bounds[0][1])\n", "X0 = X[y==0]; mu0 = float(np.mean(np.log(X0))); sig0 = float(np.std(np.log(X0), ddof=0))\n", "X1 = X[y==1]; m1 = float(np.mean(X1))\n", "a0, b0 = 3.0, min(0.8, b_upper)\n", "sc0 = np.clip(m1 * (b0 - 1 + 1e-6)/max(a0,1e-6), bounds[3][0], bounds[3][1])\n", "theta0 = np.array([p0, a0, b0, sc0, mu0, max(sig0, 0.08)], dtype=float)\n", "\n", "obj = make_neg_posterior(TAU, m_emp) if USE_MAP else neg_conditional_ll\n", "\n", "res = optimize.minimize(\n", " fun=obj, x0=theta0, args=(X,y),\n", " method=\"L-BFGS-B\", bounds=bounds,\n", " options=dict(maxiter=4000, ftol=1e-12)\n", ")\n", "theta_hat = res.x\n", "print(\"\\nFitted parameters:\", theta_hat)\n", "\n", "# =====================================\n", "# 5) Wald CI (via Hessian)\n", "# =====================================\n", "def numerical_hessian(f, theta, args, step=None):\n", " theta = np.asarray(theta, dtype=float)\n", " p = theta.size\n", " H = np.zeros((p,p), dtype=float)\n", " if step is None:\n", " step = np.maximum(1e-5, 1e-4*np.maximum(1.0, np.abs(theta)))\n", " for i in range(p):\n", " for j in range(i,p):\n", " ei = np.zeros(p); ej = np.zeros(p)\n", " ei[i] = step[i]; ej[j] = step[j]\n", " fpp = f(theta+ei+ej, *args)\n", " fpm = f(theta+ei-ej, *args)\n", " fmp = f(theta-ei+ej, *args)\n", " fmm = f(theta-ei-ej, *args)\n", " H_ij = (fpp - fpm - fmp + fmm)/(4*step[i]*step[j])\n", " H[i,j] = H[j,i] = H_ij\n", " return H\n", "\n", "H = numerical_hessian(obj, theta_hat, (X,y))\n", "try:\n", " cov = inv(H)\n", " SE = np.sqrt(np.diag(cov))\n", "except np.linalg.LinAlgError:\n", " cov = np.full_like(H, np.nan)\n", " SE = np.full(theta_hat.shape, np.nan)\n", "\n", "z = 1.96\n", "names = [\"p_AE\",\"a\",\"b\",\"scale\",\"mu_nc\",\"sigma_nc\"]\n", "for nm, est, se in zip(names, theta_hat, SE):\n", " lo, hi = est - z*se, est + z*se\n", " print(f\"CI_95[{nm}]: ({lo:.4f}, {hi:.4f})\")\n", "\n", "# =====================================\n", "# 6) Profile likelihood CI\n", "# =====================================\n", "def profile_likelihood(param_index, grid, theta_hat, X, y, obj, bounds, alpha=0.05):\n", " vals = []\n", " base_val = obj(theta_hat, X, y)\n", " cutoff = base_val + 0.5 * stats.chi2.ppf(1-alpha, df=1)\n", " ci_lo, ci_hi = None, None\n", "\n", " for val in grid:\n", " th_fixed = theta_hat.copy()\n", " th_fixed[param_index] = val\n", "\n", " def obj_fixed(theta_free, X, y):\n", " theta_all = th_fixed.copy()\n", " mask = np.ones_like(theta_hat, dtype=bool)\n", " mask[param_index] = False\n", " theta_all[mask] = theta_free\n", " return obj(theta_all, X, y)\n", "\n", " x0 = theta_hat[np.arange(len(theta_hat)) != param_index]\n", " bounds_free = [b for i,b in enumerate(bounds) if i != param_index]\n", "\n", " res = optimize.minimize(\n", " fun=obj_fixed, x0=x0, args=(X,y),\n", " bounds=bounds_free, method=\"L-BFGS-B\",\n", " options=dict(maxiter=2000, ftol=1e-9)\n", " )\n", " vals.append(res.fun)\n", " if res.fun < cutoff:\n", " if ci_lo is None: ci_lo = val\n", " ci_hi = val\n", "\n", " return grid, vals, ci_lo, ci_hi, cutoff\n", "\n", "# Example: Profile for p_AE\n", "grid = np.linspace(0.01, 0.3, 25)\n", "grid, vals, ci_lo, ci_hi, cutoff = profile_likelihood(\n", " 0, grid, theta_hat, X, y, obj, bounds\n", ")\n", "print(f\"\\nProfile CI for p_AE: ({ci_lo:.4f}, {ci_hi:.4f})\")\n", "\n", "plt.figure()\n", "plt.plot(grid, vals, '-o', label=\"Profiled NLL\")\n", "plt.axhline(cutoff, color='r', ls='--', label=\"95% cutoff\")\n", "if ci_lo: plt.axvline(ci_lo, color='g', ls='--')\n", "if ci_hi: plt.axvline(ci_hi, color='g', ls='--')\n", "plt.xlabel(\"p_AE\"); plt.ylabel(\"Neg log-likelihood\")\n", "plt.title(\"Profile likelihood for p_AE\")\n", "plt.legend(); plt.show()\n" ] }, { "cell_type": "code", "execution_count": 24, "id": "1b4d6de2", "metadata": {}, "outputs": [ { "data": { 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "== Sample size 1x ==\n", " p_hat = 0.0413\n", " Wald CI = (-0.0510, 0.1335)\n", " Prof CI = (0.0100, 0.1400)\n", "\n", "== Sample size 5x ==\n", " p_hat = 0.0453\n", " Wald CI = (-0.0510, 0.1417)\n", " Prof CI = (0.0100, 0.1400)\n", "\n", "== Sample size 10x ==\n", " p_hat = 0.0633\n", " Wald CI = (-0.0635, 0.1900)\n", " Prof CI = (0.0100, 0.1500)\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize\n", "\n", "# -----------------------------\n", "# Assume you already defined:\n", "# - neg_conditional_ll\n", "# - make_neg_posterior\n", "# - numerical_hessian\n", "# -----------------------------\n", "\n", "# === Fixed profile likelihood function ===\n", "def profile_likelihood(param_index, grid, theta_hat, X, y, obj, bounds):\n", " \"\"\"\n", " Profile likelihood for one parameter.\n", " param_index: index of parameter to fix (here 0 = p_AE)\n", " grid: values to try\n", " theta_hat: full MLE/MAP solution\n", " obj: objective function\n", " bounds: bounds for optimizer\n", " \"\"\"\n", " vals = []\n", " for val in grid:\n", " th = theta_hat.copy()\n", " th[param_index] = val\n", " # fix param_index by giving bounds = (val,val)\n", " bnds = list(bounds)\n", " bnds[param_index] = (val, val)\n", " res = optimize.minimize(obj, theta_hat, args=(X,y),\n", " method=\"L-BFGS-B\", bounds=bnds)\n", " vals.append(res.fun)\n", "\n", " vals = np.array(vals)\n", " min_val = vals.min()\n", " cutoff = min_val + 0.5*2 # 95% χ² cutoff for 1 df\n", " inside = grid[vals <= cutoff]\n", " ci_lo = inside.min() if inside.size > 0 else np.nan\n", " ci_hi = inside.max() if inside.size > 0 else np.nan\n", " return grid, vals, ci_lo, ci_hi\n", "\n", "\n", "# === Wrap fitting + CI comparison ===\n", "def fit_and_compare(X, y, TAU=20.0, use_map=True):\n", " m_emp = y.mean()\n", " obj = make_neg_posterior(TAU, m_emp) if use_map else neg_conditional_ll\n", "\n", " # init guess\n", " p0 = np.clip(m_emp, 1e-3, 1-1e-3)\n", " a0, b0, sc0 = 3.0, 0.8, np.mean(X[y==1])\n", " mu0, sig0 = np.mean(np.log(X[y==0])), np.std(np.log(X[y==0]))\n", " theta0 = np.array([p0, a0, b0, sc0, mu0, sig0])\n", "\n", " bounds = [\n", " (1e-3, 1-1e-3),\n", " (0.3, 20.0),\n", " (0.2, 1.0),\n", " (0.01, 5.0),\n", " (np.log(X).min()-1.5, np.log(X).max()+1.5),\n", " (0.05, 1.5),\n", " ]\n", "\n", " res = optimize.minimize(obj, theta0, args=(X,y),\n", " method=\"L-BFGS-B\", bounds=bounds)\n", " theta_hat = res.x\n", " p_hat = theta_hat[0]\n", "\n", " # Wald CI\n", " H = numerical_hessian(obj, theta_hat, (X,y))\n", " try:\n", " cov = np.linalg.inv(H)\n", " se = np.sqrt(cov[0,0])\n", " wald_ci = (p_hat - 1.96*se, p_hat + 1.96*se)\n", " except:\n", " wald_ci = (np.nan, np.nan)\n", "\n", " # Profile CI\n", " grid = np.linspace(0.01, 0.4, 40)\n", " grid, vals, ci_lo, ci_hi = profile_likelihood(0, grid, theta_hat, X, y, obj, bounds)\n", " prof_ci = (ci_lo, ci_hi)\n", "\n", " return p_hat, wald_ci, prof_ci, (grid, vals)\n", "\n", "\n", "# === Experiment with increasing sample size ===\n", "results = {}\n", "plt.figure(figsize=(7,5))\n", "for mult in [1, 5, 10]:\n", " X_big = np.tile(X, mult)\n", " y_big = np.tile(y, mult)\n", " p_hat, wald_ci, prof_ci, (grid, vals) = fit_and_compare(X_big, y_big)\n", " results[mult] = (p_hat, wald_ci, prof_ci, grid, vals)\n", " plt.plot(grid, vals, marker='o', label=f\"{mult}x data\")\n", "\n", "plt.axhline(min(vals)+0.5*2, color='r', linestyle='--', label=\"95% cutoff\")\n", "plt.xlabel(\"p_AE\"); plt.ylabel(\"Neg log-lik\")\n", "plt.legend(); plt.title(\"Profile likelihood curves as sample size increases\")\n", "plt.show()\n", "\n", "for mult, (p_hat, wald_ci, prof_ci, _, _) in results.items():\n", " print(f\"\\n== Sample size {mult}x ==\")\n", " print(f\" p_hat = {p_hat:.4f}\")\n", " print(f\" Wald CI = ({wald_ci[0]:.4f}, {wald_ci[1]:.4f})\")\n", " print(f\" Prof CI = ({prof_ci[0]:.4f}, {prof_ci[1]:.4f})\")\n" ] }, { "cell_type": "code", "execution_count": 18, "id": "f90088d0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AE=5, NC=53, empirical p_AE=0.086207\n", "Success: True CONVERGENCE: NORM OF PROJECTED GRADIENT <= PGTOL\n", " p_AE: 0.051018\n", " a: 20.000000\n", " b: 1.000000\n", " scale: 0.748729\n", " mu_nc: -1.757675\n", "sigma_nc: 0.654178\n" ] }, { "data": { "image/png": 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73ApetWoVGjdujObNm7u0QY8ePVxuA6uq6vJ8zj/uysjIwJ9//okHH3wQISEhzv06nQ6PPvoozpw5g0OHDgG40YMbHR3tPE6r1aJfv34FXqNLly7o3r073nzzTaSlpeV5zK+//oouXbrk6nkaPHgwMjMzsXnzZpf9DzzwQJ7n0Wg0LreNs9s3NjYWLVq0cO6PjIxETExMrlvwn376KVq2bAmz2ez83Pzyyy9uVQUoSPat8fnz50OWZcyePRv9+vVzafOc0tPT8c0336B9+/bOOwB33nknatWqhcTERKiqmus1/fv3h8FggMViwR133AFFUbB06VI0bdq0WLF7qkuXLjh27BiOHz8Oq9WKjRs3omfPnujUqROSkpIAOHprTSYTbrvttmJd6+Zb7E2bNoXVasWlS5fyfU1kZCQeeeQR523/q1evYs+ePXjkkUeg0+kAOD7f2T755BMMGTIEd9xxB+655x4sWLAAzz33HBYsWICdO3c6j2vfvj1OnTqFgwcP4urVq5g4cSKOHDmCt956C5999hn0ej3eeOMN1KhRA5UrV8Zzzz2XqwfYn0JDQ3O134ABA6CqqktP6q+//oquXbsiPDwcOp0OBoMB48ePR3Jycq52bt68OWrUqOF8bDabUbduXZeft99++w1dunRxmUCn0+nQv39/b79FKoGYzFKp1aBBA7Ru3RqtW7dGz5498dlnn6F79+4YM2YMrl+/DsAx9u369evOsbQ5/1y4cMGtEjzLly9Hv379ULVqVSxYsACbN2/G1q1b8fjjj+f5pXHbbbdh69at2LZtG/bv34/r169j+vTpMBqNLsfFxsYW6f1mzwrPZjQaYbFYcs1GNxqNLnFdvHgRe/bsyfX+Q0NDIYRwtsHjjz+e65jsP+6Wtbl27RqEEHm+typVqgAAkpOTnf+/eeY2kHs2d17eeecdXLlyJd9yXMnJyW7FkC2/v4v82vfmv4vs/TnbPXvCX9u2bbFs2TJs2bIFW7duRc+ePZ3DW4oje9z3W2+9hR07dhQ4xGDx4sVIT09Hv379cP36dVy/fh0pKSno168fTp8+7UwGc3rnnXewdetW7NixA6dOncKxY8ecZbYCIXvowNq1a7Fx40ZIkoTOnTuja9eu+OWXX5zPdejQAUFBQcW6VlRUlMvj7KEDhf29zZw5E/3798fw4cMRFRWFFi1aoH79+ujTpw9MJlOu895s4MCBABxjP3MyGAyoV68ewsPDAQBPP/00Hn30Udx2222YO3cu5s6di19++QU7d+7Ehg0bMGXKlHyvER0dDYvF4vbwkqLK6+e3cuXKAG783P3111/o3r07AEdVhU2bNmHr1q3OiYU3t3Ne7WYymVyOS05Odl4nr2tT2VYyp+sSeahp06b4+eefcfjwYbRp0wbR0dGIiorKd2ZuztJG+VmwYAESEhKwePFilxn0Npstz+PDw8Ndqizkx1ez8W8WHR1d4GSf7J7RCRMm5Ft7NDsJLEyFChWg1Wpx/vz5XM9lj2vMvl5UVBQuXryY67gLFy4Uep3mzZvjP//5D95///1cE26yz+1ODNl88XexYMECdOzYETNnznTZn19vclFVr14dXbt2xcSJE1GvXj20b98+32Nnz54NABg5ciRGjhyZ5/M9evRw2VezZk23Psf+Uq1aNdStWxdr165FfHw8WrdujYiICHTp0gXDhw/Hn3/+iS1btjjLbgVCcHAw5s+fj+nTp+P06dOoUqUKoqOjUb9+fbRv377QChni3/HrOXtwb5aYmIj9+/c7J5T9+OOPeOihh1CnTh0AjrHA8+fPz7cddDodunTpgh9//BFnzpxxKZfmDQX9TGcnpV9//TUMBgNWrVrl8o/FlStXenzdqKioPH93uPP7hEo/JrNUpuzatQvAjUkqd911F77++msoioK2bdsW+Nqb/6WfTaPRwGg0uiQ8Fy5ccLuaQaDdddddeOuttxAVFYWEhIR8j4uPjy92vc/g4GC0bdsWy5cvx9SpU509ZKqqYsGCBc6EBHDc5l69ejWuXLniTC5VVXWZsV6QyZMnY+nSpXl+aXfp0gUrVqzAuXPnXBLxefPmwWKx+KVMlEajyTUZaM+ePdi8ebPXJt6MHj0aQUFBzsoAeTlw4AA2b96MBx54IM9/rEyePBnffvstkpOTC+059CZ3eztz6tq1K7755htUr17dOVmsbt26qFGjBsaPHw9JkvKd/FWc6xZVhQoVnDVlv/vuOxw6dAjvvPNOoa/LnlCa3+fzypUreOmllzBjxgxEREQAcCTAOauSpKenFzqpc9y4cVi9ejWGDRuGb7/9NtddI0mS8NNPP3lU4jAtLQ3fffedy1CDr776ClqtFnfccQcAOEvfZQ+/ABx/H/Pnzy/y9bJ16tQJ3333HS5evOjsHVYUxa3KJ1T6MZmlUmvfvn3O8ZzJyclYvnw5kpKScN999zmTtocffhgLFy5E79698cILL6BNmzYwGAw4c+YMfvvtN9xzzz247777AABNmjTB119/jcWLF6NmzZowm81o0qQJ7rrrLixfvhzDhw/Hgw8+iNOnT2PSpEmIjY3FkSNHAvb+3TVy5EgsW7YMd9xxB1588UU0bdoUqqri1KlTWLNmDUaPHl1oon+zX3/9Nc+hB71798aUKVPQrVs3dOrUCS+99BKMRiNmzJiBffv2YdGiRc5/FLz66qv4/vvv0aVLF7z66qsICgrCp59+6vxiLqh3CgASEhLwzDPP4MMPP8z13BtvvIFVq1ahU6dOGD9+PCIjI7Fw4UL88MMPePfdd523a33prrvuwqRJk/DGG2/gzjvvxKFDh/Dmm28iISGhSOOQC9K9e3fn7dr8ZPfKjhkzBm3atMn1fFpaGn755RcsWLAg14xzX8peKWrWrFkIDQ2F2WxGQkJCgQl1ly5dMGPGDFy5cgXTpk1z2T937lxUqFDBpSxXXkJDQxEXF4dvv/0WXbp0QWRkJKKjo72ycMOyZctw7tw5NGjQAFarFevWrcOHH36Ip59+Gvfcc4/zuK+++grLly9Hnz59EBcXh+vXr2PJkiX4+uuvMXjwYDRr1izP848aNQpt27Z1GVfeo0cPjB49Gu3atUNISAimT5+OJ554osA427Vrh5kzZ2L48OFo1aoVnnnmGTRq1AiSJGHnzp2YNWsWGjdu7FEyGxUVhWeeeQanTp1C3bp1sXr1anz++ed45plnnONe+/Tpg/fffx8DBgzAk08+ieTkZEydOjXPShDueu211/Ddd9+hc+fOGD9+PCwWCz755BOflR+kEiag08+IPJBXNYPw8HDRvHlz8f777wur1epyvCRJYurUqaJZs2bCbDaLkJAQUb9+ffHUU0+JI0eOOI87ceKE6N69uwgNDRUARFxcnPO5t99+W8THxwuTySQaNGggPv/8c+fM55zi4uJEnz59Cow/r9n3Nz+XVzWDnLP+hXDMtg8ODs51jrxmHqenp4vXXntN1KtXTxiNRhEeHi6aNGkiXnzxRZfZv4XJr5JE9p/sGcMbNmwQnTt3FsHBwSIoKEjceuut4vvvv891vg0bNoi2bdsKk8kkKleuLF5++WXxzjvvCADOigP5vSchHDPTw8LC8mzPvXv3ir59+4rw8HBhNBpFs2bNXNpViBsz95csWZLr3EVpXyFy/93bbDbx0ksviapVqwqz2SxatmwpVq5cKQYNGuTy2RKi6NUMCpKzmoHdbhcxMTGiefPm+R4vy7KoVq2aaNKkiRCi4DZxh7vVDIQQYtq0aSIhIUHodLpcn/u8XLt2TWi1WhEcHOxSCWThwoUCgEsVj5zx3FylZO3ataJFixbCZDIJAGLQoEFCiPx/1rI/94XNiF+xYoVo3ry583PfunVrMXv27FxVEDZv3iy6dOkiKleuLAwGg7BYLOKWW24RM2bMEIqi5HnutWvXiuDgYHHixAmX/bIsi1deeUVUrlxZREZGimHDhonMzMwC48y2a9cuMWjQIFGjRg1hNBpFcHCwaNGihRg/fry4dOmS87iiVDNo1KiRWLdunWjdurUwmUwiNjZW/Pe//xWSJLkcO2fOHFGvXj1hMplEzZo1xZQpU8Ts2bNztXN+v1Pz+nvdtGmTuPXWW11+n8yaNYvVDMoBjRBeLjJJRFQM3bt3x4kTJ3D48OFAh0JERKUAhxkQUcCMGjUKLVq0QPXq1XH16lUsXLgQSUlJzlvjREREhWEyS0QBoygKxo8fjwsXLkCj0aBhw4aYP3++s0QRERFRYTjMgIiIiIhKLS6aQERERESlFpNZIiIiIiq1mMwSERERUalVLieAqaqKc+fOITQ01G9LihIRERGR+4QQSEtLQ5UqVQpcSKdcJrPnzp3z2nKSREREROQ7p0+fRrVq1fJ9vlwms6GhoQAcjRMWFhbgaAJPkiSsWbMG3bt3h8FgCHQ4JRrbyn1sK/exrdzDdnIf28p9bCv3+butUlNTUb16dWfelp9ymcxmDy0ICwtjMgvHh9NisSAsLIw/yIVgW7mPbeU+tpV72E7uY1u5j23lvkC1VWFDQjkBjIiIiIhKLSazRERERFRqMZklIiIiolKLySwRERERlVpMZomIiIio1GIyS0RERESlFpNZIiIiIiq1mMwSERERUanFZJaIiIiISi0ms1T6WVOAlLN5P5dy1vG8L6996WDe108563jOmhLYGKn04+eHiChfAU9m169fj759+6JKlSrQaDRYuXJloa/5/fff0apVK5jNZtSsWROffvqp7wOlksmaAix4AEjsDaSccX0u5Yxj/4IHfPNlb00B5t0LfHYHMKe76/VTzgBzejieS7zLcVwgYqTSL5CfcSKiUiDgyWxGRgaaNWuGjz/+2K3jjx8/jt69e+P222/Hzp078d///hcjRozAsmXLfBwplUi2dCDjMnDtBJDY58aXfcoZx+NrJxzP29J9d23FdiN5TTnz73ZPIOW047mMS4GLkUq/QH7GiYhKAX2gA+jVqxd69erl9vGffvopatSogWnTpgEAGjRogG3btmHq1Kl44IEHfBQllVjhVYHBP9z4Uk/sA9w3C1jxpONxhXjH8+FVfXPtx3+6kbimnAG+6AJAA6Sd//eYasDjPzu2AxEjlX4+/IwLIZx/VFXNtX3zvpyvK2i7sOc93ZYkCVeuXMGZM2dgMBi8cu7inKOkyRmbJEk4c+YMDh48CIPBEMCoSn6bSZKE06dPY//+/QFvq5xKYrtJkoRTp05BkqQS1VYBT2aLavPmzejevbvLvh49emD27Nn5Nq7NZoPNZnM+Tk1NBeD4S5EkybcBlwLZbVBq28JSCRj4HbDwIeD6SSDxbsf+yHrAI0scz3vpveVqK0sl4LEfgPn3A6lngIzrjv1aMxBWFXh0heMYwG8xlhSl6XMlSRIyMjKcfzIzM5GVlQWr1Qq73Q6bzeb8vyRJLo9z/j/7j81mgyzLUBQFiqK4bOf8k71flmUkJydj4sSJUFXV5XjnY8kOkZEFVd0H8Vp7qEJAaHQQpjNQ32zmdkKa8/9ERJ7o2bMn4uPjfX4dd78/Sl0ye+HCBVSqVMllX6VKlSDLMq5cuYLY2Nhcr5kyZQomTpyYa/+aNWtgsVh8Fmtpk5SUFOgQiifuVSDupn0bdwHY5fVL5WqrhPF5H3jz9f0YY0nh68+VzWbD9evXkZaW5pKQZmRkID093eX/mZmZzgTVarXCarXCZrNBURSfxug7MpB+NdBBEFE5s379euzfv9/n18nMzHTruFKXzAKARqNxeZzdw3Dz/mzjxo3DqFGjnI9TU1NRvXp1dO/eHWFhYb4LtJSQJAlJSUno1q1bibptUCSp5270emaLiHP0eoZV8dplbm6rc9ezsGv/fnT662kEZZ13OTYrqDL+6jAbVktlAIA58wJu2fwULBk3JvFkBlfD1nafOY8pS4SqQD29C9rqzaHR6or8ekWWceXSeVw6dwaXz5/F5YvncP3KZVxLvozryf/+/+oVZKan+SD6wNDqdNBqddDpdLm2dRrALF2HFgq0GkADQGj1kIJiILR6aLVaQKOBRqOBRqOFRgPHPvy7T6uFBoDGuQ+ARvvv8Rr8uwMajRbQ4N//a5yvufn3q0aj/ff/rr97s7c1ObbhPObf82lynwcANNo8XptzWwiIrBRoLRHOmDU3H1PItvORNsd+5HEejfM/jsNvOh6uT5cY2fELIWBLuQJzeHQe340FBO7meyrqW8/v+7lkEMi6fgVBEdEun8eSwBftVpxTClUg49ol9OjRI1fHoi9k30kvTKlLZitXrowLFy647Lt06RL0ej2ioqLyfI3JZILJZMq132AwlN7kzQdKbXuknAEW3H1j/GD2eMKrhxz7B//gGLvqRdltJVKPoevmwQi2OhJZW5Djh9uUdRGGjBO4beOj+LvnNwCARn8MgTn9FKwhNXCkw3uos2k0wtOO4rY/huDv7l/BHuy9pLskUBUZVwBEhpih1eX9q0ZVVVw8dwYn/zmCE/8cxsljR3Dq2FGcO3MKVy6e90mPqcFghNliQVCQBeagIJiDLAiyBMPs8tgCkzkIJpMZeoMBRqPpxv+Nro8NBgMMN/1fbzRCr9dDp/03EdXpodVpoXNu66DVaqHX66HV6gAIXD30Fyo2bJdnWxkzzqHRmgEwp9uQFVIdf7f9PzTc8jIsGaeRERyOTR2+RGZQZSiqgKIKCAhHsgvXnEwLDTRaDbQAdP9mxDqNBlqNI7nVajTQaW/80Ws10Gu10Grh3NbpHMdrNTeSQ22Oc2SfR6NxJH1aRw7r2AfHa7T/Pod/j88+R/ZrnPlkjscaOP4xuebnn9CzZy8YjYYSniAFliRJWL16NXr37l06f6/7EdvKfdltValSJb+0lbvXKHXJbLt27fD999+77FuzZg1at27ND2F5lHL2xsQY50SYarknzAxe7f0JVilnUWX5fTD+m8haLVWciWvjn/vBlHEO5sxzaLT6AWh0OpgyzsEaUsOZuP7d/at/E5RTaLRmAP7uvgj24NzDZMoKWZZx4ughHNizEwf37cKBvbtw/Mgh2KxZHp0vOCQUURVjUCG6IiKjYhARGYXQsHCEhocjJDT83+0IhISFITQsAqFh4QgOCYW+BP2eEEJAVgUkuwSNRoNrmRJUyJAVx35oAHPmeXTeMgTmzDNIt1THpvZzYQuugtQ75uHW9Y8hOOM0bv9jEA72/BoIqwqjTguDXutISG9KTp3JqkYDrRbOfdn7sxPUkkqojl4zrVZTouMkIv8KeDKbnp6Oo0ePOh8fP34cu3btQmRkJGrUqIFx48bh7NmzmDdvHgDg6aefxscff4xRo0Zh2LBh2Lx5M2bPno1FixYF6i1QIJlCgOCKju2cPbA5E9rgio7jfHBtqykSuqzLkMzR+LvnN87e1X09vkHjn/vBkHUFkjkaGp0OQqN36YHNmdBK5igohmDvxxhAmRkZ2LFjB45+vwZ7d27D4f173U5cwytEonKVaoitVgOVcvw/KjoGURVjEBldESZzkI/fQfGpqoBdUWFXVEiyClkVsMsqHH2mADRw9HZqHJUCjDogyGxEkFGHIL0OJoMWBkkPw/5KkA06SP1X4tYK1WHQaaDTVoah7o/AvLsQFFwRLWpXB8zhgXuzREQBEvBkdtu2bejUqZPzcfbY1kGDBiExMRHnz5/HqVOnnM8nJCRg9erVePHFF/HJJ5+gSpUqmD59OstylVfmcGDgMkeNzZt7XsOrOXpkTSE++ZKXDKH48/Y5CMq6hKCQCJdeVXtwFezrsQRaKR3Sv9UMdFJGrp5XR0K7CIohGIqxdI/fFkLg2JGD2Lj2J/yxLgn79+yAIsv5Hq/RaFAtLgFxteoivlZdxNWqg/hadVGjZm2EhpWepEwIR8Jqk1XYZcf/VSEA4RiWadBpYdRrYTHqYDHqEWrWw2TQwaR37DfqtNBCwbpTQMd6MTAajTddIRQYvAKwpaPCzZ/xCtV9+hknIioNAp7MduzYscASMYmJibn23XnnndixY4cPo6JSxRye/xe5D2u3ZkkKsjTB0EfWhc6Qe4LTzYlrfslqaR5aIITAwX27sObbpdjwy084d/pkvsdWqR6PBk2aoUHTFmjQpAXqNmyK4NBQP0ZbfLKqwmpXYZUV2CQVihDQaACjTgOTXodQsx7VggyOhFWvg9ng6F0163Uw6PK/NZ5dfibfW+cB+owTEZUGAU9miUorq6TAJquI0pWs2a/+cOn8Ofy08hv8tPIbnPjncJ7H1EiojYb1aqN9z/vRst3tiIyq6Ocoi0dVheMfLJICq6RAFQI6rRZBBi1CTHpUr2BAWJABFqPeMSzAoINRX/4+C0REgcZklshDVrvjdnLOkj1l3d4dW7F47qf4fc2qXJUGdHo9WrbtgNu69MRtnXugUmwVXDmwBdENbs23mkFJoqgCmXYZmXYFNlmBVqOB2aBDiEmP+KhghAcZYDE5Hpv0uUtVERFRYJT8bxiiEsoql9ZC+0UjhMDva37Awlkf4e/d23M93/yWduh1X3907NnXZayrquQ/XrYkEMLR85phk2GVFGi1GgQZ9IgJNSEmzIRQswEhJj0sRh0TVyKiEozJLJGHUjIlGMr4EIOtm37HzKmTcHDvLpf9FaIq4r7/DELvB/6DKtVvXtKs5FJVgXS7jDSrDEUVCDJoER5kQL3KoahgMSIsyABzHuOfiYio5GIyS+QBIQTSrBKMZTSZPbx/Lz5++w1s+2O9y/7a9Ruh/5Cn0e2u+2HMYyGSkkgVAuk2GWlWCaoKBJv0iIuyoFKoGRHBBoSa9Ox5JSIqxZjMEnnALqvIklSY9GWrF8+alYnZH/0fvp49w2VMbO36jfDU6FfRvmO3UpP4ZdkVXM+0Q1JVhJgMSIgOQeVwMyItjjquRERUNjCZJfKAo6aoghBT2fkR2rZ5Pd55dTTOnjru3FelejyeHDUOXfvcB6225PdCq6rA9SwJ6TYJJr0WlcPNqFbBguhQIyzGsvN3RUREN/C3O5EHbLIKSRHQ60pHL2VBZEnCJ+9MwOLEz5z7DAYjBj87CgOfHAFDriL+JY9dVnEt0w6brCDCYkTTqhGIjTAjPMhQanqSiYjIM0xmiTyQvSSptpQnSpcvnMfrLzyBPdv/dO5r2qotxv7vA8TXrhvAyNxjkxUkZ9ghhEDFEBMSoisgJszESVxEROUIk1kiD9hkBSjliez2zRswfuSTuJZ8GQCgNxjw3NiJePDRJ0r8kAK7rOJKug0CAlXCg5BQMRgxoWboylHNXyIicmAyS+SBTLsMLUpv4rTy6y8xdfzLUFUVAFAptiomfzQHjZq3CnBkBZMVFZfTbFD/TWJrxYSgYoipXC1cQURErpjMEnkg3abAUArHywohMPvDdzDn46nOfW1u64QJ73+KiMioAEZWMFUIXM2wI8Mmo0pEEGrHhKBymJlJLBERMZkl8kSWXYahlJXlEkLgw/+9hm9yTPT6z9DhGD7mDeh0Jfe9pNtkJKfbUCHYiCZVo1C1QlCZX6yCiIjcx2SWyAN2BTAZSk9CJYTA+xPHYtmC2c59L7w6Gf2HPB3AqAqmqAKX0qzQAGhYJQy1Y0JYXouIiHLhNwORB2RFQUhQyS9ZlW3m/01yJrIajQbjpnyIux4cEOCo8pdulZGcaUNsmBkNYsNQMdTEEltERJQnJrNEHpAUUWpudS+YNR0LZk0H4EhkX3v3E/S6r1+Ao8qbKgQupdoACDSpEo7alULK3CprRETkXUxmiTwgBEpFjdlffliJGe++6Xz80sR3S2wia5dVnE/JQnSICY2rhqNyuDnQIRERUSnAZJbIIyLQARTq713bMWnMc87HT476L+4bMCSAEeUvzSrhWqYdNSsGo1GVcASXoWWCiYjIt/iNQeSBkj5+M/nyRYx95lHYbVYAQJ8HB2DQMy8GOKq8XUm3wa6oaFo1AnUqhUBfSoZvEBFRycBklsgDJXm8rCzLeGPkk0i+fAkA0PyWdhjz5tQSl4CrQuBCqhVmvRZt4iNRrUJQiYuRiIhKPiazREUghGN4QUnuPfziw3ew489NAIDoSpUx+eM5MBhLVuUFVRU4ez0TFYJNaF49AhVDTYEOiYiISikms0RFICmO5V8NJXSC/c6//sD8T6cBAHR6PSZPn43IqIqBDeomsqri7PUsVA4zo0WNCggPMgQ6JCIiKsWYzBIVgS07mdWWvJ7Z9LRUvPnScGfv8ZMv/hdNW7UNcFSuZEXFuZQsVI0IQssaFTjRi4iIio3fJERFYJdL7jCDD//3Gi6eOwPAMU52wBPPBjgiV7Ki4uz1TNSIDEaLGhUQZCyh3dtERFSqlLxvZKISTJIdPbM6bcmaqLTtj/X4YelXAIDgkFC8PnUGdLqSkyzKqqNHloksERF5G3tmiYrA9m8yW5LYrFl457XRzsfPvvIGYqtWD2BErlRV4GyaY2hB8xoRTGSJiMir2DNLVAQ2WQl0CLkkzvgAZ08dBwA0u+VW3N3/sQBH5Op8ShYqhZnRskYFWIz89zMREXkXk1miIsi0y4EOwcXZUyew6ItPAAB6gwGvTP4A2hI2OS3CYkDL6pzsRUREvlGyvvWISrhMW8lKZj9++w3Y7TYAwMNDnkF8rToBjuiG5Aw7AKBJtQoIt7D8FhER+QaTWSI3qapAllRyxsxu27wev6/5AQAQVTEGg4aXnOVqU7MkyP+WMYsOKVkLNhARUdnCZJbITXZFhaSIQIcBwLES2Yx333Q+fvql1xEcEhrAiG6wyQquZdpRv3LJiIeIiMo2JrNEbrJJqrO3MdDW/bwKB/fuAgDUrt8Ive7rH9iA/qWoAhdSslA7JgQ1K4YEOhwiIioHmMwSucmmKJDVwPfMyrKMWR+85Xz81OhXS8ykrwupWagUHoRGVcJLXC1eIiIqm0rGNyBRKWCXVYjA57JI+n4ZTv5zBADQtFVbtO/YLcAROVzLtMOo16JJ1XDWkiUiIr9hMkvkJpusAprAZrOKouDLmR84Hz81+lVoNIHvAbXJCtKtMhrGhiE6xBTocIiIqBxhMkvkJqtdAURgE8d1P32PU8eOAgCa39IOLdq0D2g8gGMy2oVUKxIqWpAQzXGyRETkX0xmidyUaVdg0AXuR0YI4dIrO/jZ0QUc7T9X0u2ICDKifuUwjpMlIiK/YzJL5KZ0mwy9LnDJ2pb1v+Dowb8BAA2atsAtHe4MWCzZrJICu6KgUZUwhJq5MAIREfkfk1kiN8iKCpusBDSZ/XrOTOf2Y0+PDPhYWSEELqZZER8VjKoRQQGNhYiIyi8ms0RuyF4wwRCg2+j/HD6ArZt+BwBUqR6P27r0DEgcOV3NsCPcbEC9yqHQcngBEREFCJNZIjfYZceCCfoA1XP9Zu6nzu1+g5+EThfY0leSoiLDLqN+LIcXEBFRYDGZJXKDXXb0zOoCMMzg+tVk/PztUgBAcEgo+jzwH7/HcLOLqVZUr2BB9QocXkBERIHFZJbIDfZ/l7HVBmCc6urli2C32wAAffsNRHBIqN9jyCndJsOg06BOpVDoA1jdgYiICGAyS+QWe4AWTFBVFSsXfel8fN+AwX6PISchBK5m2FCzYggqhnJxBCIiCjwms0RusMkKNPB/r+yOLRtx5uRxAEDr9negenwtv8eQ07VMCWFmA2pV5OIIRERUMjCZJXJDuk0JyIIAK75KdG7f+/Agv18/J0UVSLNKqBMTgmCTPqCxEBERZWMyS+SGTLvs99W/riVfwfq1qwEAkdExuL1rL79e/2bJ6TZUDDWhepQloHEQERHlxGSWqBCqKmC1K9D7uWc2adVyKLIMAOh1f38YjEa/Xj8nWVFhlVXUrRQKkz6wZcGIiIhyYjJLVAi7okJWhd9n7v+4/Gvndu/7HvbrtW92Od2GymEmxIabAxoHERHRzZjMEhXCJquQFBUGP9aY/efwARz6ew8AoH6T5kioU89v176ZXVahqgK1YkJYiouIiEocfjMRFcKx+peAwY+rf5WkXtkr6TZUCjcjNpwLJBARUcnDZJaoEHZFhSIEtH4aM6soCtZ851jxS28woOtd9/nlunmxyyoEBGpVDAlINQciIqLCMJklKoRdVv16vT3btuDKpYsAgFvv6IKIyCi/Xj+n5AwbYsLMqBTGsbJERFQyMZklKoS/k9m1P6xwbgeyV1b+d+Jbzehg9soSEVGJxWSWqBAZNhl6P42XlWUZv/20CgBgMgfhts49/HLdvCRn2FEx1ITK7JUlIqISjMksUSEy7LLfKhns2LIR169eAQC079gNluDALBurqAI2WUGtaFYwICKiko3fUkQFEELAKinQ+aln9pccQwy69LnXL9fMy/VMOyKDjagUbgpYDERERO5gMktUALuiQlKEX3pmZVnG+rU/AgCCLMFo37Grz6+ZFyEE0m0y4qOCudoXERGVeExmiQrgqDGrwuCHW+17t/+JlGtXATiqGJiDLD6/Zl5SrTJCzQZUiWBdWSIiKvlKRDI7Y8YMJCQkwGw2o1WrVtiwYUOBxy9cuBDNmjWDxWJBbGwshgwZguTkZD9FS+WJpAhIqoDeD7P51yetdm7f0a2Xz6+Xn5QsO+KiLAg26QMWAxERkbsCnswuXrwYI0eOxKuvvoqdO3fi9ttvR69evXDq1Kk8j9+4cSMee+wxDB06FH///TeWLFmCrVu34oknnvBz5FQeZPfM+ro0lRDCOcRAp9ejfafuPr1efqySAqNOy15ZIiIqNQKezL7//vsYOnQonnjiCTRo0ADTpk1D9erVMXPmzDyP37JlC+Lj4zFixAgkJCTgtttuw1NPPYVt27b5OXIqD+yyCg000Gh8m8wePfg3zp9x/AOuZdvbEBoW7tPr5edqhh2Vw82oYDEE5PpERERFFdD7iHa7Hdu3b8fYsWNd9nfv3h1//PFHnq9p3749Xn31VaxevRq9evXCpUuXsHTpUvTp0yff69hsNthsNufj1NRUAIAkSZAkyQvvpHTLbgO2RW5ZNjugylAVGQBy/d9b1v38vXP79i49vH5+dyiqCkWRUSXMCFku/vX5uXIf28o9bCf3sa3cx7Zyn7/byt3raIQQwsex5OvcuXOoWrUqNm3ahPbt2zv3v/XWW/jyyy9x6NChPF+3dOlSDBkyBFarFbIs4+6778bSpUthMOTdmzRhwgRMnDgx1/6vvvoKFktgJtkQ5TR69Gj8888/AIAvvvgC0dHRAY6IiIgosDIzMzFgwACkpKQgLCws3+NKxAyPm2/hCiHyva27f/9+jBgxAuPHj0ePHj1w/vx5vPzyy3j66acxe/bsPF8zbtw4jBo1yvk4NTUV1atXR/fu3QtsnPJCkiQkJSWhW7du+f6DoLzafvIqzl+3ISbMUW9VVWRcPbwNkXVbQ6vzzo9P8uVLzkS2bsMmqH/7XV45b1GdvpqJZtXCUbtSqFfOx8+V+9hW7mE7uY9t5T62lfv83VbZd9ILE9BkNjo6GjqdDhcuXHDZf+nSJVSqVCnP10yZMgUdOnTAyy+/DABo2rQpgoODcfvtt2Py5MmIjY3N9RqTyQSTKXfxd4PBwA9uDmyP3KyKBnqDPlfiqtXl3uepvzb97txu17Gb185bFJl2GRazEVUiQ73+GeDnyn1sK/ewndzHtnIf28p9/mord68R0AlgRqMRrVq1QlJSksv+pKQkl2EHOWVmZkJ702pMOp2jsHsAR0xQGaSojtW/fF2Wa/O6tc7tQC2UcC1TQqUwM8KCSsTNGiIiIrcFvJrBqFGj8MUXX2DOnDk4cOAAXnzxRZw6dQpPP/00AMcQgccee8x5fN++fbF8+XLMnDkTx44dw6ZNmzBixAi0adMGVapUCdTboDLIUZZL+HTBBFmS8NfG3wAAYREV0LBZK59dKz+KKqCoAlUrBPm8agMREZG3Bbwbpn///khOTsabb76J8+fPo3Hjxli9ejXi4uIAAOfPn3epOTt48GCkpaXh448/xujRoxEREYHOnTvjnXfeCdRboDLKrqiQVRV6H97237tzK9LTHGOC2t7eyXmXwZ9SsiREWAyoGJp7KA4REVFJF/BkFgCGDx+O4cOH5/lcYmJirn3PP/88nn/+eR9HReWds2dW67ue2S2//+LcbndnYIYYZNhlNIoNg0nv/0SaiIiouAI+zICopLIrKhQhoPXhmNnsIQYA0Ob2Tj67Tn7ssmN1s0rhZr9fm4iIyBuYzBLlQ5JVn57/+tVkHN6/FwBQp0ETREZV9On18pKSZUekxYgKFqPfr01EROQNTGaJ8mFXfJvMbt+8wVmB45YOd/j0WvnJlBRUj7RA5+OKDURERL7CZJYoH5k2GTofjpf9a9M65/YtHTr67Dr5ybTLsBh0nPhFRESlGpNZonxk+bDGrBACW/9dLMFoNKH5Lbf65DoFScmSEB1iQpi5RMwDJSIi8giTWaJ8ZNhkn9WYPXPyGC6cPQ0AaNKqDUzmIJ9cJz9CCNhlFVUiWFuWiIhKNyazRHmQFBWSKnzWM7s1xxK2gRlioMBi0iEqhBO/iIiodGMyS5QHu6xCUlTodb5JZnf+ucm53br97T65RkFSsyTEhJoRauY65EREVLoxmSXKg6SoUBQBvQ8mgAkhsOPPPwAAluAQ1G3Y1OvXKOz6kipQJdy/QxuIiIh8gcksUR7sigpJET7pmT35zxFcS74MAGh2y63Q6/07ASvDrsBi1CGSQwyIiKgMYDJLlAf7vwsmaH0wOWrHnxud2y3bdvD6+QuTliWhYqgJISZWMSAiotKPySxRHiRFQPjo3Dv/+sO53cLPyawQAnZFRSyXryUiojKCySxRHhw9s95PZ4UQ2BnA8bJZkmOIQYVgDjEgIqKygcksUR4y7bJPJn+dPHYUV69cAgA0a+3/8bJpVhlRIUaEcogBERGVEUxmifKQaffN6l+7tt4YYtC8TXuvn78wVklBbDgXSiAiorKDySzRTYQQjp5ZH6z+tWfbn87t5re08/r5C2KVFJgNWkRyiAEREZUhTGaJbiIpArKPynLt2e5IZo1GE+o18u942TSrjPAgI8K4UAIREZUhTGaJbiIpjtW/DF4eM3v54nmcO30SANCgWQsYTSavnr8wWZKMKhFmaH20RC8REVEgMJkluoldViGr3u+Z3bv9L+d205ZtvXruwsiKCp1WwyoGRERU5jCZJbpJds+styeA7dmRI5lt7d9kNt0mI8SkR0QQk1kiIipbmMwS3cQmq9BA4/UZ/3u2bXFuN2nZxqvnLky6TUblMDOMev7IExFR2cJvNqKbSIoKaLy7YEJmRjqOHNgHAEioUx9h4RFePX9BVCGgCoHoUP+O0SUiIvIHJrNEN7HJCgDv9sru37MDiqIAAJq28m+vbJZdgcWoRwULhxgQEVHZw2SW6CZZdhU6Lw8x2L97p3O7cYtbvHruwqTbZFSwGGAx6vx6XSIiIn9gMkt0kwy7DIOXKxkc2LPDud2waUuvnrswNllBZa76RUREZRSTWaIchBCwSgp0Xq4xu3+3I5m1BIegRs3aXj13QSRFhU6rRYSFCyUQEVHZxGSWKAdJEZAU4dWe2csXzuPyxfMAgAZNW0Cn89/t/gybjBCTDuFBTGaJiKhsYjJLlINdUSErKvRe7JndH8AhBtkluQw6/qgTEVHZxG84ohykf1f/8mbPbPYQAwBo2Mx/yawQAkIAUSEsyUVERGUXk1miHOyKCll1LP3qLYHqmbVKKswGLcI4xICIiMowJrNEOdhlFRDeW/1LVVUc2OMoy1WxUiwqVo71ynndkWGXEWo2INSk99s1iYiI/I3JLFEOdi+v/nXq2FFkZqQD8O8QAwDItMuICTVB68VeZiIiopKGySxRDnYvr/719+7tzu0GfhxioAoBQIMKwVz1i4iIyjYms0Q5ZNoV6L24uEDOyV+N/Ngzm2lXYDGyJBcREZV9TGaJcsi0K9B7sZJB9spfGo0G9Rs399p5C5NhkxHBJWyJiKgc8HhmiCRJuHDhAjIzM1GxYkVERkZ6My4iv8te/UvvpZqsNpsVRw7+DQCIr1UXwaGhXjmvW9eWFVQKNXEJWyIiKvOK9K2dnp6Ozz77DB07dkR4eDji4+PRsGFDVKxYEXFxcRg2bBi2bt3qq1iJfMquqJAUAb2XJkwd2b8PiiwDABr4cYiBqgpoNRqEWzheloiIyj63k9kPPvgA8fHx+Pzzz9G5c2csX74cu3btwqFDh7B582a88cYbkGUZ3bp1Q8+ePXHkyBFfxk3kdZIivLr6V87JX4EYLxtm5nhZIiIq+9weZvDHH3/gt99+Q5MmTfJ8vk2bNnj88ccxc+ZMzJkzB7///jvq1KnjtUCJfE2SVUheXP3rQIAWS8iwy4gOMSKI42WJiKgccDuZXbJkiVvHmc1mDB8+3OOAiALFrqhQvLj6V3YlA6PRhFr1GnrlnO6wyQpiQrmELRERlQ9Fup966dKlQo/ZsGGDx8EQBZJdVqHx0upfaakpOHPyOACgTsMm0Bv8c8uf42WJiKi8KVIy27hxYyxdujTP57KysjBixAh06dLFK4ER+ZtdUSG8tPrXkf17ndv1GzfzyjndwfGyRERU3hQpmR0zZgwee+wx/Oc//8HVq1ed+zds2IAmTZrg559/xm+//eb1IIn8wS4r0Hhp9a/DOZLZOg0ae+Wc7siwywgPMnC8LBERlRtFSmZfeuklbN++HUePHnX20r7wwgvo3Lkz+vbti127dqFDhw6+ipXIpzLsCnReqsuaM5mt2yjvSZO+YFdUVOR4WSIiKkeKvGhCgwYNsGXLFjzyyCPo378/LBYLfv31V9x+++2+iI/Ib7K8uPrXkQP7AAA6vR416zTwyjkLowrHEIkwLmFLRETlSJELakqShNdffx3Lly9H//79YTAYMGHCBJw6dcoX8RH5hRDi32S2+DVmbTYrThw9BABIqF0PRpN/ekqtkgKzQYtQjpclIqJypEjf3Lt27ULLli3x9ddf4+eff8ZXX32Fffv2wWQyoUmTJvjiiy98FSeRT9kVFbLqndW/jh0+AEVRAPh3vGymXUGoyYBgjpclIqJypEjJbNu2bdGuXTvs2bMHnTp1AgBUqVIFq1evxnvvvYeXXnoJvXv39kmgRL6UvfqXwQs9s4f/zjFetqH/xstmSY76st4oLUZERFRaFOmbe+XKlZg1axZCQkJyPffEE09gz549kCTJa8ER+Yv939W/vNEz6zL5y0/JrBACQgiOlyUionKnSMlsr169Cny+Ro0aSEpKKlZARIEgKSpkxTurf2VP/gIcCyb4g01WYdJrWV+WiIjKneLfUyUqA+yyCg1Q7Fv0iqLg6MG/AQBVqschJDTMC9EVLtOuINikR4i5yAVKiIiISjUms0RwTADzxnoJp08cgzUrE4D/x8tGh5i80rNMRERUmjCZJYJj9S8Ib4yX3ePc9tcQAwBQVBURFqPfrkdERFRSMJklgmP1L29M/joSgMlfsuoY6xti4hADIiIqf5jMEgHIsnlnwYTD+29M/qrbwD/JbJZdQZBBj1COlyUionLI7W+/efPmeXSB5s2bo2nTph69lsgfhBDIkoq/lK0QwtkzGxEZjehKlb0RXqGy7AoiQ4wwG7hYAhERlT9uJ7Nz58716AJDhgxhMkslml1RISkCxmL2zF6+cB7XryUDcAwx8NfiBTZFRcUQ/yyZS0REVNK4ncz+9ttvvoyDKGDssgpFVaEv5jKwOSd/+XuxhFAulkBEROUUx8xSuScpAnZFFHuYgetiCY2LG5ZbbLIKs17HyV9ERFRulYhkdsaMGUhISIDZbEarVq2wYcOGAo+32Wx49dVXERcXB5PJhFq1amHOnDl+ipbKGklx9MzqijksIBDL2GbaFVhMTGaJiKj8Cvg34OLFizFy5EjMmDEDHTp0wGeffYZevXph//79qFGjRp6v6devHy5evIjZs2ejdu3auHTpEmRZ9nPkVFbYZRUajabYY1yPHHCs/GUOsqBaXE1vhFYoq6SgcngwF0sgIqJyK+DJ7Pvvv4+hQ4fiiSeeAABMmzYNP//8M2bOnIkpU6bkOv6nn37C77//jmPHjiEyMhIAEB8f78+QqYyxySogRLHOkZmRjnOnTwAAEurUg07nn8oCsqoiwsLxskREVH4FNJm12+3Yvn07xo4d67K/e/fu+OOPP/J8zXfffYfWrVvj3Xffxfz58xEcHIy7774bkyZNQlBQUJ6vsdlssNlszsepqakAAEmSIEmSl95N6ZXdBuW1LbKsNkBVoSqF9+5nH3Pzsf8c2u/crlmnvlvnKi5VFdAKFUG6kvl3V94/V0XBtnIP28l9bCv3sa3c5++2cvc6RUpmL126hJiYmHyfl2UZO3bsQJs2bdw635UrV6AoCipVquSyv1KlSrhw4UKerzl27Bg2btwIs9mMFStW4MqVKxg+fDiuXr2a77jZKVOmYOLEibn2r1mzBhaLxa1Yy4OkpKRAhxAwJgBX8v7I5enq4W0uj/f8fqPtKoUH4cqBLV6KrGBGAFvP++VSHivPn6uiYlu5h+3kPraV+9hW7vNXW2VmZrp1XJGS2djYWJw/f96Z0DZo0AA///yzc2xrcnIy2rVrB0VRihTszWMVhRD5jl9UVcf4xoULFyI8PByAY6jCgw8+iE8++STP3tlx48Zh1KhRzsepqamoXr06unfvjrCwsCLFWhZJkoSkpCR069YNBkP5u2W96ehlpFoVRAUbCz1WVWRcPbwNkXVbQ6u78eNzafkPzu2md/RCdINbfRJrTlcz7Ag26HBb3Wi/1bQtivL+uSoKtpV72E7uY1u5j23lPn+3Vfad9MIUKZkVN40rPHPmTK6JVzcfU5Do6GjodLpcvbCXLl3K1VubLTY2FlWrVnUmsoAjqRZC4MyZM6hTp06u15hMJphMuYvKGwwGfnBzKI/toaoCNkUDg17vkpwWRqtzPf7YkYPO7doNGhfpXJ6yqXbUCA+C0Vh4Eh5I5fFz5Sm2lXvYTu5jW7mPbeU+f7WVu9fwemmuovQQGY1GtGrVKld3dVJSEtq3b5/nazp06IBz584hPT3due/w4cPQarWoVq2aZ0FTuWVXVMiqgL6Yq3/9c+gAAKBCVEVERlX0RmiFUlQgwlKyE1kiIiJfC3id2VGjRuGLL77AnDlzcODAAbz44os4deoUnn76aQCOIQKPPfaY8/gBAwYgKioKQ4YMwf79+7F+/Xq8/PLLePzxx/OdAEaUH7uiQlYE9MUobXX1yiVcv3oFAFCrXgNvhVYgWVGh02oQzPqyRERUzhXpm1Cj0SAtLQ1ms9k5rjU9Pd05psHdsQ059e/fH8nJyXjzzTdx/vx5NG7cGKtXr0ZcXBwA4Pz58zh16pTz+JCQECQlJeH5559H69atERUVhX79+mHy5MlFvjaRJKuQVBWGYvTMZvfKAkCtuv5JZrMkBUEGLpZARERU5DGzdevWdXncokULl8eeTEQZPnw4hg8fnudziYmJufbVr1+fsw7JK+yKCkVFsRYdyFmWq1a9ht4Iq1BWSUV4kB5mg3/q2RIREZVURUpmf/vtN1/FQRQQkixQ3DoA/xy+0TNb00/DDGyyguiQYL9ci4iIqCQrUjJ75513FnrM5cuXPQ6GyN/sioLiZrPZPbMajQYJtet5IarCqUIg1MxZt0RERF6ZACaEwOrVq3H//fezogCVKll2tVi5rKqqOH7kEACgSvV4BFl831vqmPylRbCJQwyIiIiKlcweO3YMr732GmrUqIFHHnkEFosFX3/9tbdiI/K5LEmGXuv5j8G5Uydgs2YB8F8lg+zJX6xkQEREVMRhBgBgtVqxdOlSfPHFF9iyZQu6deuG8+fPY9euXWjcuLEvYiTymQybAoOuGJO/coyX9Vcya5UUhAcZOPmLiIgIReyZHT58OKpUqYJPPvkEDz30EM6ePYvvv/8eGo0G2mL0bhEFgqIK2GSlWAsmuFQyqOufSgY2WUV0SO4V7YiIiMqjIvXMzpo1C6+88grGjh2L0NBQX8VE5Bd22bFggtngnRqzNf1UlouTv4iIiG4o0rf4vHnz8NdffyE2Nhb9+/fHqlWrIMuyr2Ij8im7okJSirlgwmFHz6zRaEK1uARvhZYvTv4iIiJyVaRv8QEDBiApKQn79u1D/fr18eyzzyI2NhaqqmL//v2Fn4CoBLHLKhTV86VsbdYsnDlxDAAQX7su9HrfT8iySionfxEREeXgUZdUfHw8Jk6ciBMnTmD+/Pl44IEHMHDgQFSrVg0jRozwdoxEPmFXVChCQOthMnvi6GGoqgrAjyt/yQqCTTqY9ByjTkREBHhQzSAnjUaDnj17omfPnrh69SrmzZuHuXPneis2Ip+SZLVYrw9EJYMsu4L4qGCPlo0mIiIqi7zWvRMZGYmRI0di9+7d3jolkU/ZleIls8dyLmPrp0oGAgKhZg4xICIiyuZ2Mvv2228jMzPTrWP//PNP/PDDDx4HReQPmTYZumKUlDt+9JBzu2ad+t4IqUCKKqDTaGDh5C8iIiInt7/J9+/fjxo1auCZZ57Bjz/+iMuXLzufk2UZe/bswYwZM9C+fXs8/PDDCAsL80nARN6SYVdg8HC8LADnMrbBIaGoWDnWW2HlyyYrMBl0CDayZ5aIiCib29+K8+bNw549e/DJJ5/gkUceQUpKCnQ6HUwmk7PHtkWLFnjyyScxaNAgmEws6k4llxACmXbZ4wUTMjMycOHsaQBAfO16fhnDmmVXYDHqYDGyZ5aIiChbkbp4mjZtis8++wyffvopdu/ejZMnTyIrKwvR0dFo3rw5oqOjfRUnkVdJioCsCOg9XMr21LEjzu2E2vW8FVaBrLKKKhFBnPxFRESUg0f3KzUaDZo3b47mzZt7ORwi/8heMCFE79lKWjnHyybU8U8yq6gqwi1c+YuIiCinIt1jVVUV//d//4cOHTqgTZs2+O9//wur1eqr2Ih8xi6rkFQBg4c9s8ePHnZu+6NnVhUCGg04XpaIiOgmRUpm33nnHYwdOxbBwcGIjY3F+++/z0USqFSSFBWKqkLn6YIJ/+RIZv1QycAuqzDpdKxkQEREdJMiJbOJiYn46KOPsGbNGnz77bdYuXIl5s2bByGEr+Ij8gm7rAICHo8/za5kYAkORkxsFW+GlierpMBk0MJiYDJLRESUU5GS2ZMnT+Kuu+5yPu7RoweEEDh37pzXAyPyJVsxVv+yWq1+r2Rgk1WEBxk9rr5ARERUVhXpm9FutyMoKMj5WKPRwGg0wmazeT0wIl+ySQoAz5LQM2fOOO9G+GOIAeCoMVuBk7+IiIhyKfJsktdffx0Wi8X52G6343//+x/Cw8Od+95//33vREfkI5l2xeOyXKdPn3ZuJ9Su662QCqFBsImTv4iIiG5WpG/HO+64A4cOHXLZ1759exw7dsz5mDUwqTTIsMsweHjL/syZM87teD9UMpAVFXqdhoslEBER5aFIyey6det8FAaR/yiqgFVSoPewksGpU6ec2/4YZmCVVJj1WvbMEhER5YGzSajckRQVsiI87pnNHmYQZAlGpdiq3gwtT1ZZgcWoh0nPH1ciIqKb8duRyh2brEJWVY/GzNqsWbh48SIAIL52XWi1vv8RskkqKlgMHMJDRESUByazVO7YZRWSImDwIBE9eezojUoGfhgvCwCKUBEWxEoGREREeWEyS+WOXVEhBKD1YMzsiRzL2Mb7oZKBcxlbjpclIiLKE5NZKnfssgpP16w7HqBlbINYyYCIiChPbnf37Nmzx+2TNm3a1KNgiPzBJinwdPjpiSM3StP5Y5gBl7ElIiIqmNvJbPPmzaHRaCCEKHQiiqIoxQ6MyFcy7DL0Hmaz2T2z5qAgVK5a3Zth5ckmq4gJNXEZWyIiony4/Q15/PhxHDt2DMePH8eyZcuQkJCAGTNmYOfOndi5cydmzJiBWrVqYdmyZb6Ml6jYMm2KR8mhzWbFuVMnAABxNev4pZKBXVFRIZiTv4iIiPLjds9sXFycc/uhhx7C9OnT0bt3b+e+pk2bonr16nj99ddx7733ejVIIm9RVYFMuwyDB2W5Th07ClVVAfhn8hcACCEQbGQyS0RElB+Pupb27t2LhISEXPsTEhKwf//+YgdF5Ct2RYWsCo96Zo8f9e94WUUV0Gk1nPxFRERUAI+S2QYNGmDy5MmwWq3OfTabDZMnT0aDBg28FhyRt9kVFZKietQzezzH5K94PySzNlmBSa9DsInJLBERUX48Kl756aefom/fvqhevTqaNWsGANi9ezc0Gg1WrVrl1QCJvMkm/buUrQfjXU+49Mz6fpiBVVJhNmhh1jOZJSIiyo9HyWybNm1w/PhxLFiwAAcPHoQQAv3798eAAQMQHBzs7RiJvMauqFCE8GjBhOxhBkaj0T+VDCQFMaEWj2IlIiIqLzxeVshiseDJJ5/0ZixEPmeXVc9eZ7Ph7MnjAIBq1apBp/N9b6ksBCIsnPxFRERUEI9rC82fPx+33XYbqlSpgpMnTwIAPvjgA3z77bdeC47I2+yyCk/6OU+f+MdZP7l6dd/3ygKOSgac/EVERFQwj5LZmTNnYtSoUejVqxeuXbvm/JKvUKECpk2b5s34iLwqwyZD58F42ZyVDPyRzEqKCr1OC4vR45snRERE5YJHyexHH32Ezz//HK+++ir0+htftq1bt8bevXu9FhyRt2V4WGP2+JGDzm1/JLM2SYVZr4WFPbNEREQF8iiZPX78OFq0aJFrv8lkQkZGRrGDIvIFIQSy7J6t/nX8yGHndo0aNbwZVp5ssoIggw4mPZexJSIiKohH35QJCQnYtWtXrv0//vgjGjZsWNyYiHzCJquQilmWy2g0ISYmxtuh5WKTVURYjNBoWMmAiIioIB4NyHv55Zfx7LPPwmq1QgiBv/76C4sWLcKUKVPwxRdfeDtGIq+wKypkRS3yrXvJbsfpk8cAADVq1vZLJQNFVREWxEoGREREhfEomR0yZAhkWcaYMWOQmZmJAQMGoGrVqvjwww/x8MMPeztGIq+wSY7Vv4xFHGZw+sQxKLIMwD/L2AohIACOlyUiInKDx1Olhw0bhmHDhuHKlStQVdUvt16JisPTBRNyrvwVV6uOt8PKRVIEjDpO/iIiInKHR2NmO3fujOvXrwMAoqOjnYlsamoqOnfu7LXgiLzJsWBC0cegHstRySChju97Zm2yApNBB7OBySwREVFhPEpm161bB7vdnmu/1WrFhg0bih0UkS9YJRmezKc6cfRGJYOEWnW9GFHebLKKICOTWSIiIncUaZjBnj17nNv79+/HhQsXnI8VRcFPP/2EqlWrei86Ii/KsCvQe5DNZi+YYDAYUaVGPK4fueLt0FzYJBXVK3DyFxERkTuKlMw2b94cGo0GGo0mz+EEQUFB+Oijj7wWHJE3pVtlGIpYt1WWJJw+8Q8ARyWDnIuE+IoKFaGsZEBEROSWIn0zHz9+HEII1KxZE3/99RcqVqzofM5oNCImJsYvZYuIikpRBaySAn0RJ3+dOXUCsiQBAOJr+36IgRACQmgQxCEGREREbilSMhsXFwcAUFXVJ8EQ+Yr93wUTilohIOcytv4oy+WoZKBhJQMiIiI3eTQBbMqUKZgzZ06u/XPmzME777xT7KCIvM0mK5AVFfoirv6VsyxXvB+S2exKBkFMZomIiNziUTL72WefoX79+rn2N2rUCJ9++mmxgyLytuyeWYOuaMMMjudIZmvWyf2Z9zabrCLIoINJz2SWiIjIHR4lsxcuXEBsbGyu/RUrVsT58+eLHRSRt9lkFYCApojVDLLLcun0elSLS/BBZK5ssooKFk7+IiIicpdHyWz16tWxadOmXPs3bdqEKlWqFDsoIm9zJLNFI8syTh07CgCoEV8LeoPvk0xVqAgxM5klIiJyl0d1hp544gmMHDkSkiQ5S3T98ssvGDNmDEaPHu3VAIm8wSopRe6VPXf6BOx2GwD/jJd1VDIAJ38REREVgUfJ7JgxY3D16lUMHz7cuRKY2WzGK6+8gnHjxnk1QCJvSLfKMOiKdiPieM6Vv/xQlstRyUDLZJaIiKgIPBpmoNFo8M477+Dy5cvYsmULdu/ejatXr2L8+PEeBTFjxgwkJCTAbDajVatWbi+Ju2nTJuj1ejRv3tyj61L5kWmXi1xj9sSRHJUM6vinkoFRz2VsiYiIisKjZDZbSEgIbrnlFjRu3Bgmk8mjcyxevBgjR47Eq6++ip07d+L2229Hr169cOrUqQJfl5KSgsceewxdunTx6LpUfthlFTZZLfLqXzkrGST4oZKBXVZhMTKZJSIiKgq3hxncf//9SExMRFhYGO6///4Cj12+fLnbAbz//vsYOnQonnjiCQDAtGnT8PPPP2PmzJmYMmVKvq976qmnMGDAAOh0OqxcudLt61H5Y5MVSIqK0CJO4MquMavT6VA9rqYvQnNhlVVUieDkLyIioqJwO5kNDw93TqAJDw/3ysXtdju2b9+OsWPHuuzv3r07/vjjj3xfN3fuXPzzzz9YsGABJk+eXOh1bDYbbDab83FqaioAQJIkSP8uVVqeZbdBWW2LDKsddkmCzqyDqgi3XqMoCk78cwQAULVGAvR6HVRFhqrIAOD8vzepsoRgg6bM/D2U9c+VN7Gt3MN2ch/byn1sK/f5u63cvY7byezcuXPz3C6OK1euQFEUVKpUyWV/pUqVcOHChTxfc+TIEYwdOxYbNmyAXu9e+FOmTMHEiRNz7V+zZg0sFkvRAy+jkpKSAh2CzxgAXCvC8efPn4fdZgUAVKkUjSsHtrg8f/XwNu8F9y8TgIMXgIOFHlm6lOXPlbexrdzDdnIf28p9bCv3+autMjMz3TrOo2oG3nZzySQh8i5urygKBgwYgIkTJ6JuXfdnl48bNw6jRo1yPk5NTUX16tXRvXt3hIWFeR54GSFJEpKSktCtWzcY/FBL1d9OXMnAjlPXUa1CkNuvOXh+jXO7bvNbEd3gVgCOHtmrh7chsm5raHXe+/GRFRXJGXbcVicaFSxGr503kMr658qb2FbuYTu5j23lPraV+/zdVtl30gvj9rdxixYt3K7TuWPHDreOi46Ohk6ny9ULe+nSpVy9tQCQlpaGbdu2YefOnXjuuecAAKqqQggBvV6PNWvWOOve5mQymfKcoGYwGPjBzaGstockNNDqdEVKPk/+u1gCANSs1yDXa7U6vVeTWbssw2Q0IMxihqGMTQArq58rX2BbuYft5D62lfvYVu7zV1u5ew23v43vvfde57bVasWMGTPQsGFDtGvXDgCwZcsW/P333xg+fLjbQRqNRrRq1QpJSUm47777nPuTkpJwzz335Do+LCwMe/fuddk3Y8YM/Prrr1i6dCkSEny/3CiVPuk2GXpt0SoZnMhZycAPCybYJAVBRh1MRay4QEREVN65ncy+8cYbzu0nnngCI0aMwKRJk3Idc/r06SIFMGrUKDz66KNo3bo12rVrh1mzZuHUqVN4+umnATiGCJw9exbz5s2DVqtF48aNXV4fExMDs9mcaz9RtgybAoOuaDVmjx9xjFzVarWokVDLF2G5sMsqKoWbi7xKGRERUXnn0X3SJUuWYNu23BNgBg4ciNatW2POnDlun6t///5ITk7Gm2++ifPnz6Nx48ZYvXo14uLiADgm4hRWc5YoP5KiwiorRVr9S1VVZyWDKtXjYDK7P9bWU7IqEBHE21tERERF5dE9zaCgIGzcuDHX/o0bN8JsNhf5fMOHD8eJEydgs9mwfft23HHHHc7nEhMTsW7dunxfO2HCBOzatavI16TywSarkGS1SMnsxXNnYM1yzKCM98MQAwAQABdLICIi8oBHPbMjR47EM888g+3bt+PWWx2zvLds2YI5c+Z4vKQtkS/YJAV2RcCgd//2/XE/j5eVVRU6rQYWI5NZIiKiovIomR07dixq1qyJDz/8EF999RUAoEGDBkhMTES/fv28GiBRcdhkFYqqFmkCmMvkrzq+T2btsgqTXosgJrNERERF5nFtoX79+jFxpRLPJqtFfs2xI/7tmbVKKswGLcx6JrNERERF5XEdoOvXr+OLL77Af//7X1y9ehWAo77s2bNnvRYcUXFZJbnIFQKye2Y1Gg3iatXxRVgu7LKKMLMBWi0rGRARERWVRz2ze/bsQdeuXREeHo4TJ07giSeeQGRkJFasWIGTJ09i3rx53o6TyCPpVgX6IiSJQghnMhtbrQbMQb5f7lhSFISzkgEREZFHPOqZHTVqFAYPHowjR464VC/o1asX1q9f77XgiIor3SbDWIRKBpfOn0NmRgYAIL62+0smF48GFmOJWFmaiIio1PEomd26dSueeuqpXPurVq2aa2laokDxpMasSyWDOvV9EZYLVRXQaACzkSt/ERERecKjb1Cz2YzU1NRc+w8dOoSKFSsWOygib7BKCiRZhbEIS8Rmr/wF+GkZ2+xKBqwxS0RE5BGPktl77rkHb775JiRJAuCYKHPq1CmMHTsWDzzwgFcDJPKUTVZhV4q2YELOslz+GGZgkxUYmcwSERF5zKNkdurUqbh8+TJiYmKQlZWFO++8E7Vr10ZoaCj+97//eTtGIo9YJQWqCuiKMAHs+NHDzu24mv6pZBBqNkBfhISbiIiIbvBo1klYWBg2btyIX3/9FTt27ICqqmjZsiW6du3q7fiIPGaTVUAj3D5eCOEcZlCpSjUEh4T6KjQnu6IigpUMiIiIPFbkZFaWZZjNZuzatQudO3dG586dfREXUbFl2hRo4H6v7MXzZ5GRngYAqFWvga/CcqEKAYuJlQyIiIg8VeR7m3q9HnFxcVAUxRfxEHlNuk0q0njZfw7td27XqtvQFyG5EMJRycDCZWyJiIg85tFAvddeew3jxo1zrvxFVNKoqkCaVS5SJYN/Dh1wbtes6/uyXHZFhVGnhZmTv4iIiDzm0f3N6dOn4+jRo6hSpQri4uIQHBzs8vyOHTu8EhyRp+yKCklRYdS7nygeO3wjma1Vz/c9s46yXDpWMiAiIioGj5LZe+65p8jr3RP5k1VSYJdVhJjcn1yVnczq9Hq/VDKwSSrCgvRF6j0mIiIiVx4lsxMmTPByGETeZZNVSKoKg869f3TJkoQT/zjKctWIrwWD0ejL8AA4ynKxkgEREVHxFKlLKDMzE88++yyqVq2KmJgYDBgwAFeuXPFVbEQes0oKIDRu30E4feIY5H8XAanpr0oGUBHKZJaIiKhYipTMvvHGG0hMTESfPn3w8MMPIykpCc8884yvYiPymE1WIeB+jdl/DueoZOCH8bIAIAQ4XpaIiKiYijTMYPny5Zg9ezYefvhhAMDAgQPRoUMHKIoCnY5fylRypFolGLTu/1vt2OGDzu2adXxfyUD6d5ldJrNERETFU6Se2dOnT+P22293Pm7Tpg30ej3OnTvn9cCIiiMtq6hlufzbM+uoZKBFEGvMEhERFUuRkllFUWC8aWKMXq+HLMteDYqoOGyygixJgcGDGrNBlmDEVqvhq9Cc7LIKs0EHEysZEBERFUuRhhkIITB48GCYTCbnPqvViqefftql1uzy5cu9FyFREVklFXZZQYTFvYoEWZkZOHf6BAAgoU49aIswPMFTNklBTKiJJe6IiIiKqUjJ7KBBg3LtGzhwoNeCIfIGm6RAUoTbS9keP3LIuV2rrn8qGciqQLiFlQyIiIiKq0jJ7Ny5c30VB5HXWCUVQgBaN3s9c46XremnSgYAKxkQERF5AwfsUZmTJSlFKsvlsoytH3pmFVVAqwUnfxEREXkBk1kqc1KzJLeHGADAPzmSWX8smGCTFRj1LMtFRETkDUxmqUwRQiDNKsFYhGQ2u8ZsRGQ0IqMq+io0J7uswqTTwsxkloiIqNiYzFKZYldUWGXV7Rqz15Kv4OqVSwCAWn5axtYmqwgLMkCnZSUDIiKi4mIyS2VKdlkud5PZQCxja1dUhAexkgEREZE3MJmlMsUqKbD/u1SsO/y9jC0AQAAWY5EKiRAREVE+mMxSmWKVFEBoPCrL5Y+eWVUIaDSAhZUMiIiIvILJLJUpWXYFKEJZriP79wIANBoNatb1fc+sXVZh1GlhZjJLRETkFUxmqUxJyZJg0LmXKMqShH8OOcpyVU+ohSBLcCGvKD67rMJoYFkuIiIib2EyS2WGqgqkWiW3J3+dPHYEkmQHANRt2MSXoTnZZAXBRl2R6uASERFR/viNSmWGVVZglVSY3ExmD/87xADwZzLLSgZERETexGSWyowsuwKbXIRk9u89zu26DZv6KiwXqgBCzUxmiYiIvIXJLJUZWZICVRXQu3kLP2fPbJ0GjX0VlpMQjolpQZz8RURE5DVMZqnMsEoK4OaiWkIIHDmwDwBQsVIsKkRF+zAyB0kRMOo0nPxFRETkRUxmqcxIzZKhc7O+7Pkzp5CelgrAv5O/jHodzExmiYiIvIbJLJUZKVmSZ5O/GvknmbXLKixGJrNERETexGSWygSbrCBLUtwuy+VaycA/k79YyYCIiMj7mMxSmWC1q7BJCkx693o9D++/UcnAH5O/AEBWVYQF6f1yLSIiovKCySyVCVmSAkkVMOjcGzN7ZL9j8ldoWDhiq9XwZWgugoxMZomIiLyJySyVCZl2GUIIaNyYAHYt+QouXzwPwNEr685riktWVOh1XMaWiIjI25jMUpmQZpWg03hQX9aPK3+ZmMwSERF5HZNZKhOuZUowGUr2MrZmgxZmN2MkIiIi9/CblUo9m6wg064UoSxXzmVs/VdjNjzI6JchDUREROUJk1kq9TJtSpEqGWSv/GU0mhBXs44vQ3OSVYFwC8tyEREReRuTWSr1MiUFdkV1q8ZsZkY6Th//BwBQs14D6A3+STCFEBwvS0RE5ANMZqnUy7LLcPfm/T+H9kMIAcB/9WUVVUCn1SDIyGSWiIjI25jMUql3PUuCTuveR/nQvpzjZf218pdjZTL2zBIREXkfk1kq1YQQSMmU3J78dWDvTud2gybNfRSVK5usIsigYzJLRETkA0xmqVSzSiqy7ApMbiaK+/fsAADoDQbUrt/Il6E52SQVoSYDtFpWMiAiIvI2rq1JpVqmXYZVVt2qFJCRloZTx44CAGrXbwSjyeTr8AAAkqIggpUMiKiMUhQFkiQFOgyPSZIEvV4Pq9UKRVECHU6J5u22MhgM0OmKf9eSySyVapl2BYqqQu/GmNmD+3Y5J381bNrS16G5sBj5o0ZEZYsQAhcuXMD169cDHUqxCCFQuXJlnD59mrXAC+GLtoqIiEDlypWLdT5+w1KplpoluV3JYP+eHONlm7bwTUA3UVQBrYaVDIio7MlOZGNiYmCxWEptIqiqKtLT0xESEgKtm5OJyytvtpUQApmZmbh06RIAIDY21uNzMZmlUu1apt3txRIO5Ehm/dUza5MVGA1aWJjMElEZoiiKM5GNiooKdDjFoqoq7HY7zGYzk9lCeLutgoKCAACXLl1CTEyMx0MO+LdGpZZdVpFmlWF2c/LXgX8nf1mCg1GjZm1fhuZkl1WYdFq3YyQiKg2yx8haLJYAR0KlXfZnqDjjrktEMjtjxgwkJCTAbDajVatW2LBhQ77HLl++HN26dUPFihURFhaGdu3a4eeff/ZjtFRSZNhkWCXFrUQx+fJFXDx/FgBQr1Ezrww4d4dNVhEeZISOlQyIqAwqrUMLqOTwxmco4Mns4sWLMXLkSLz66qvYuXMnbr/9dvTq1QunTp3K8/j169ejW7duWL16NbZv345OnTqhb9++2LlzZ57HU9mVYZfdXsZ2/+4dzm1/jZcFALusINzC0TxERES+EvBk9v3338fQoUPxxBNPoEGDBpg2bRqqV6+OmTNn5nn8tGnTMGbMGNxyyy2oU6cO3nrrLdSpUwfff/+9nyOnQMuwydC4Of1r385tzu3GLW7xVUh50CDYyLJcREREvhLQLiO73Y7t27dj7NixLvu7d++OP/74w61zqKqKtLQ0REZG5nuMzWaDzWZzPk5NTQXgGJ9RmmvjeUt2G5S2triSmgWDRkBV5EKP3bvzL+d2w6Yt3HpNXrJf587rFVVAKxQYtKLUta03lNbPVSCwrdzDdnKfr9tKkiQIIaCqKlRV9ck1/CW7ZGP2+wGA8ePH4+LFi/jss8+8fj2dTod//vkH8fHxbr9m1apVeOONN7B169YCJ14NGTIE8+bNAwAsW7YM9957bzGjdZVXWxUke0hfeHg4rl69mucxqqpCCMf35M1DAN39/AY0mb1y5QoURUGlSpVc9leqVAkXLlxw6xzvvfceMjIy0K9fv3yPmTJlCiZOnJhr/5o1azh4PYekpKRAh1BkWgBXzhZ8jCzL2L9rOwCgYsWKQPJxXEk+XqzrXj28rfCDABgA/HW+WJcq9Urj5ypQ2FbuYTu5z1dtpdfrUblyZaSnp8Nut/vkGr4wfPhwLFq0CIDjPVStWhV9+/Z16VS7dOkSpk+fjo0bNzo7v7L9+eef6N27Nzp16oSlS5e6PHfq1Ck0a9Ysz+uuWbMGt9xy465geno6UlNTkZ6ejttvvx29e/fG//73P5dz3XbbbZg8eTIee+wx3HHHHVBVFbNnz0b//v3zfX+SJKFLly745JNPEBER4Yy/QoUKecZhs9nQoEEDXLt2Dd9//z1uu+02l/ONHDkS8+fPx6xZs/DAAw8496elpeHtt9/GO++8AwDQarWoXLkyunTpgvHjxyM6OhoAcPDgQaxYsQJTpkzJ1ZbZ7HY7srKysH79esiya0dRZmZmvu81pxIxmO/mwb9CCLcGBC9atAgTJkzAt99+i5iYmHyPGzduHEaNGuV8nJqaiurVq6N79+4ICwvzPPAyQpIkJCUloVu3bjAYSsct8VSrhI2HryDUrC90KduD+3Y7f9k2a3sbohvc6vF1VUXG1cPbEFm3NbS6gn98rmdJ0GuBjnVjyuVStqXxcxUobCv3sJ3c5+u2slqtOH36NEJCQmA2m71+fl8xGAzo0aMH5syZA0mSsGHDBjz55JPIyMjA559/Do1Gg08++QS33norGjdunOv133zzDZ577jnMnj0b169fR40aNZzPhYSEAHAkjI0auS6XHhUV5fL3EBISgrCwMISFhWHu3Lno1q0b+vXrh9tvvx1CCLzwwgto3749nnvuOedrhg4dijlz5mDYsGEFvr/g4GDUqVMn13PVq1fHkiVL0KVLF+e+r7/+GqGhobh27RosFotLTpSZmYkVK1bgpZdewqJFizBkyBAIIZCWlobQ0FCYTCY0atQIa9asgaIo2LlzJ4YNG4ZLly5h9erVAICwsDDExMRAo9Hkm29ZrVYEBQXhjjvuyPVZyi8BvllAk9no6GjodLpcvbCXLl3K1Vt7s8WLF2Po0KFYsmQJunbtWuCxJpMJpjyWLjUYDPyFmENpag9rhgyrClQ0GQv9h8/+3TcmBzZp2abQJNQdWp2+0PPYFRnRoWaYTMZiX680K02fq0BjW7mH7eQ+X7WVoijQaDTQarWlqjarRqOB2WxGlSpVAABxcXFYt24dVq1a5Xw/ixcvxlNPPZXrfWVkZGDJkiXYunUrLl68iHnz5mH8+PHO57OPr1ixovP8+cnZbh07dsTzzz+PoUOHYvfu3fj888+xa9cu7Nu3zyWGe+65By+88AJOnDiBmjVr5vv+st/HzQYNGoTp06fjww8/dNZ3TUxMxKBBgzBp0qRcf5fLli1Dw4YN8d///hexsbE4deqUM3nPvo5er3e+1+rVq2Pv3r0YP348bDab8xrZ58zvc6LVaqHRaPL8rLr72Q1oMms0GtGqVSskJSXhvvvuc+5PSkrCPffck+/rFi1ahMcffxyLFi1Cnz59/BEqlTBpWRI00LjVg79v11bndpOW/pv8ZVcUhAfxC5eIyofWrVu7PUTQmypXroxt29wb+pWXoKAg59jMa9euYd++fWjdunWu4xYvXox69eqhXr16GDhwIJ5//nm8/vrrXikt9dZbb+HHH3/EwIED8fPPP2PWrFmoWrWqyzFxcXGIiYnBhg0b8k1mC9KqVSskJCRg2bJlGDhwIE6fPo3169fjk08+waRJk3IdP3v2bAwcOBDh4eHo3bs35s6dizfeeKPAawQFBUFV1VzDBXwt4MMMRo0ahUcffRStW7dGu3btMGvWLJw6dQpPP/00AMcQgbNnzzoHNC9atAiPPfYYPvzwQ9x6663OH5ygoCCEh4cH7H2Qf13NsLtVkgsA9u5wJLMmcxBq12tUyNHeFWwK+I8YEZFfXLhwAWfPFjKJoYT566+/sGjRItx5550AgJMnT0IIkWfPanZyBwA9e/ZEeno6fvnll1x3h9u3b5+rFzIlJaXA+uZmsxnTpk1Dz5490atXL+d1bla1alWcOHGiKG/RxZAhQzBnzhwMHDgQc+fORe/evR1zSW5y5MgRbNmyBcuXLwcADBw4ECNGjMDrr7+e77kPHjyImTNnok2bNggNDfU4Rk8E/Ju2f//+SE5Oxptvvonz58+jcePGWL16NeLi4gAA58+fd6k5+9lnn0GWZTz77LN49tlnnfsHDRqExMREf4dPAWCTFaRkSQhyY4nY5MsXcf6M4/PToElz6P10a1JWVei0GrdiJCIqCypXrlwqrrtq1SqEhIRAlmVIkoS7777bOZEpKysLAHKN3Tx06BD++usvZ3Kn1+vRv39/zJkzJ1cyu3jxYjRo0MBlnzsL9cyePRsWiwV79+5FSkpKnh10QUFBbk+KysvAgQMxduxYHDt2DImJiZg+fXq+sfTo0cM5kat3794YOnQo1q5di1tvvTHvZO/evQgJCYGiKLDZbOjYsSNmzZrlcXyeCngyCzhmFw4fPjzP525OUNetW+f7gKhES7fKyJQUVAzJPQ76Zru3bnFuN2nZxpdhubDLKkx6HSxMZomonCjOrX5/6tSpE2bOnAmDwYAqVapAp9M5JxplJ2/Xrl1z6bGcPXs2ZFl2ufUvhIDBYMC1a9ec1QIAx9jR2rWLtmT64sWL8d1332Hz5s149NFH8eKLL2LOnDm5jrt69WqePanuioqKwl133YWhQ4fCarWiV69eSEtLczlGURTMmzcPFy5cgF6vd9k/Z84cl2S2Xr16+O6776DT6VClSpU85yf5Q+kZtU30rwybAllRYdAV/vHdtXWzc7tFm/a+DMuFVVJhNmhh1jOZJSIqSYKDg1G7dm3ExcXlmmBUq1YthIWFYf/+/c59sixj3rx5eO+997Br1y7nn927dyMuLg4LFy4sVjwXL17Es88+i8mTJ6NFixZITEzE/Pnz8eOPP7ocZ7Va8c8//6BFi+KtYvn4449j3bp1eOyxx/LsMV69ejXS0tKwc+dOl/e7ZMkSfPvtty71Yo1GI2rXro2EhISAJbJACemZJSqKlCwJWjcH3Gcns1qt1q89szZZQUyopVyW5CIiKq20Wi26du2KjRs3OhccWLVqFa5du4ahQ4fmuvX/4IMPYvbs2S4ltJKTk3NNhIuIiMi3hNlTTz2FevXqOUuItm7dGmPGjMGTTz6Jffv2Oa+5ZcsWmEwmtGvXrljvsWfPnrh8+XK+pbJmz56NPn365KqZ26hRI4wcORLffPMNxowZU6wYvI09s1SqCCFwJd2GoEJqywJA6vVr+OeQ41/XdRs2QbAfB6TLikCEhZUMiIhKmyeffBJff/21c4Wr2bNno2vXrnmOYX3ggQewa9cu7Nixw7mva9euiI2NdfmzcuXKPK81b948JCUlITEx0WXS2BtvvIGIiAi8+OKLzn2LFi3CI488UuzFnjQaDaKjo2E05i4befHiRfzwww8uCyTkfN19992H+fPnF+v6vsCeWSpVMu0K0m2yW8ns7m1bnEvvNbuleP+SLSoBwclfREQljDsTxbt3746qVati8eLF+M9//oPvv/8+32Nbtmzp/J4B4LLtjsceewyPPfZYrv1GoxF79+51Pr58+TKWLl3q8bjkguKKiIhweb6gJWQ//PBD5/jiCRMmYMKECR7F423smaVSJc0qwyopbiWKOcfLNvfjeFnp3/G8FiP/rUhEVNpoNBrMmjXL77VSC3L8+HHMmDEDCQkJhR6bXa1h1apVfoisYCEhIc5Sq77Eb1sqVVKy7BCAW2NmcyazzVq19WFUrqySwkoGRESlWLNmzXKNGQ2kNm3aoE2bwud9vPvuu3jttdcAALGxsb4Oq1C7du0C4F5psuJgMkulyuU0G4xuVDHISEvD4b/3AABq1m2AiMgoX4fmZJNVhJj1MLsxFIKIiMqX7PGwvhATE4OYmBifnNsTRS1R5ikms1RqZNkdiyUEu3H7fudfm6AoCgD/luQCAJukokYkJ38REVFuJWWcaVnCMbNUaqRZJWS5OV526x/rndu3dLjTl2HloggVoWYms0RERP7AZJZKjVSrDFUI6Nyo3bpt0+8AHDUDW956m69Dc1KFgEYDBJt404OIiMgfmMxSqXE5zQaDtvBe2csXz+P40UMAgAZNWiAkNO/C0L5gl1WYdDqW5SIiIvITJrNUKlglBdcy7W5VCNj2xwbndms/DzGwSgpMBi0snPxFRETkF0xmqVRIzZKQaZfdun2/7Y/fndu3tL/Dl2HlYpNVhAcZoHej4gIREREVHwf2UalwLdMORS18vKwQAlv/TWZN5iA0bnGLP8JzsskKKlhyLxFIRFQeWCUFslq0VbCKQ6/VsAwiMZmlkk8IgQspVpj1hf/COnJgH65cvADAUZLLaDL5OrybaDj5i4jKJaukYPM/yUiz5r8cqreFmg1oVyvK7YQ2LS0Nr7/+OlasWIFLly6hRYsW+OCDD1CvXj3nMYMHD8aXX37p8rq2bdtiy5YtzsejRo1CYmIiQkJC8O677+Lhhx92PvfNN99g/vz5BS6Dm81ut2PatGlYuHAhjhw5AovFgnr16uGJJ57AwIEDYTAYMHjwYFy/fh0rV6506z2WR/zWpRIvw64gxSohxFz4x3XzurXO7fYdu/kyrFwkRYVex2SWiMonWRVIs0ow6LQwudH5UFw2WUGaVSpST/ATTzyBffv2Yf78+ahSpQoWLFiA7t27Y/PmzQgLuzFZuGfPnpg7d67zsdF4447b999/j6+++gpr1qzBkSNHMGTIEHTr1g1RUVG4fv06Xn31Vfzyyy+FxmK329GjRw/s3r0bkyZNQocOHRAWFoYtW7Zg6tSpaNGiBZo3b+72eyvP+K1LJd71TDuy7AqigwvvZf1jXZJzu30n/yazVkmBmcvYElE5Z9L7r6KLpKhuH5uVlYVly5bh22+/xR13OOZTTJgwAStXrsScOXPw7rvvOo81mUyoXLlynuc5cOAAOnbsiNatW6N169YYOXIkjh07hqioKIwZMwbDhw9HjRo1Co1n2rRpWL9+PbZt24YWLVo499esWRMPPfQQ7Ha72++tvOMsFSrxrmVI0Go00GgKHi+bcu0q/t61DQAQX6suqlSP80d4TlZJRYhJx/FbREQlkCzLUBQFZrPZZX9QUJDLEAIAWLduHWJiYlC3bl0MGzYMly5dcj7XrFkzbNu2DdeuXcP27duRlZWF2rVrY+PGjdixYwdGjBjhVjwLFy5E165dXRLZbAaDAcHBwR68y/KJySyVaLKi4kJqFixuLGH754ZfoaqOf6X7u1cWcNzyinSj95iIiPwvNDQU7dq1w6RJk3Du3DkoioIFCxbgzz//xMWLF53H9erVCwsXLsSvv/6K9957D1u3bkXnzp1hs9kAAD169MDAgQNxyy23OMfXBgcH45lnnsFnn32GmTNnol69eujQoQP+/vvvfOM5cuQI6tev7/P3XR5wmAGVaNezJKRa5aIPMfDzeFkAEAIIC+KPFBFRSTV//nw8/vjjqFq1KnQ6HVq2bIn//Oc/2L59u/OY/v37O7cbN26M1q1bIy4uDj/88APuv/9+AI7hCRMmTHAeN2HCBHTt2hUGgwGTJ0/G3r17sWrVKjz22GMu585JCFHoHUdyD3tmqUS7mm6DrKgw6gv+qEp2O/74zZHMhoSGoWmrtv4Iz0lRBbQauNWDTEREgVGrVi38/vvvSE9Px+nTp/HXX39BkqQCx7jGxsYiLi4OR44cyfP5gwcPYuHChZg0aRLWrVuHO+64AxUrVkS/fv2wY8cOpKam5vm6unXr4sCBA155X+Udk1kqsYQQOJdiRZAbY1C3b96A9DTHL4z2nbpDbzD4OjwXjpW/dAg2cbwsEVFJFxwcjNjYWFy7dg1r1qxB79698z02OTkZp0+fRmxsbK7nhBB48skn8d577yEkJASKokCSHKXJsv+fPfztZgMGDMDatWuxc+fOXM/JsoyMjAxP3lq5xGSWSqzULBkpmRJCTIUnpr/9fKOeX6eefX0ZVp6skgKLUedW4k1EVJbZZAVZdt//sclKkWP7+eef8dNPP+H48eNISkpCp06dUK9ePTzyyCMAgPT0dLz00kvYvHkzTpw4gXXr1qFv376Ijo7Gfffdl+t8n3/+OWJiYnD33XcDADp06IBff/0VW7ZswQcffICGDRsiIiIiz1hGjhyJDh06oEuXLvjkk0+we/duHDt2DN988w3atm2bb08w5cZ7olRiXc20I0tWEGM0F3icLMvYkPQjAMAcZEHb2zv5IzwXVklFtQpBHP9EROWWXqtBqNmANKtUpJJZxRFqNkBfyMqQOaWkpGDcuHE4c+YMIiMj8cADD2DSpEnO3906nQ579+7FvHnzcP36dcTGxqJTp05YvHgxQkNDXc518eJFvPXWW/jjjz+c+9q0aYPRo0ejT58+iImJybX4Qk4mkwlJSUn44IMP8Nlnn+Gll16CxWJBgwYNMGLECDRu3LiIrVF+MZmlEkkIgfPXs2DUFX7zYPfWzbh+LRkA0O7OrjAHWXwdXi6KUBHOZWyJqBwzG3RoVyuqRC9n269fP/Tr189ln6qqznGtQUFB+Pnnn906V6VKlXDixIlc+8ePH4/x48e7dQ6TyYSxY8di7Nix+R6TmJjo1rnKMyazVCKl2WRcSbchPMiNIQY/3Rhi0LHnXb4MK0+OyV8ajpclonKPdbYpEDhmlkqk5HQ7MiWl0DGosiTh19XfAgCMJnNASnJZJQVmgw4hXMaWiIjI75jMUokjhMCZa5kw63WFjkHdsv4X5xCD27v2RHBIaIHH+4JVUhBi1HPyFxERUQAwmaUSJyVLQnK6DWHmwocY/LRyiXO75739CjjSd7IkBZEhBk7+IiIiCgAms1TiXEm3wyarCDIW3NOZlpqCjb/8BACIiIxG29v8X8UAcKz8FR7EyV9ERESBwGSWShRZUXEqOQNBhsLHn/7243ew2x1rZXe96z6/L5QAALKqQqsFgjleloiIKCCYzFKJkpxhx9VMOyIshSem330z37nd896HfBlWvqx2FUGc/EVERBQwTGapRDl7LQtCAIZC6sse2rcb+3fvAADUadAEDZq08Ed4uWRJMkJMepgN/FEiIiIKBH4DU4mRbpNx7nqWW7VlVyxKdG7fN2BQwCZfWSUF0SEmTv4iIiIKECazVGJcTLUi3S4Xess+PS0Va75bBgCwBIegW98H/BFeLkIICADhbgyJICIiCgSNRoOVK1cGOgyfYjJLJYJdVnH8cgaCjfpCezlXL/8a1qxMAECPex4KSG1ZALDJKkx6LUJNTGaJiEqTP/74AzqdDj179sz13IkTJ6DRaPL8s2XLlgBES4XhrBUqES6mWpGcYUPVCEuBx8mShK/nzHQ+vn/g474OLV9ZkgKLUY8QM3+MiIiKxJoC2NKB8Kq5n0s5C5hCAHO4zy4/Z84cPP/88/jiiy9w6tQpRERE5Dpm7dq1aNSokcu+qKgon8VEnmPPLAWcogocT86AUaeDTltwr+wvq1fiwtnTAIB2d3ZFrboN/BFinrLsCiJDjIXGTEREOVhTgAUPAIm9gZQzrs+lnHHsX/CA4zgfyMjIwDfffINnnnkGd911F7788ss8j4uKikLlypVd/hjyKQFpt9vx3HPPITY2FmazGfHx8ZgyZYrz+ffffx9NmjRBcHAwqlevjuHDhyM9Pd35fGJiIiIiIrBq1SrUq1cPFosFDz74IDIyMvDll18iPj4eFSpUwPPPPw9FUZyvi4+Px6RJkzBgwACEhISgSpUq+Oijjwp8/2fPnkX//v1RoUIFREVF4Z577sGJEyecz69btw5t2rRBcHAwIiIi0KFDB5w8edKdpg0YJrMUcJfTbLiUakVkcMELDwghsPDzj52PBz75vK9DK5Csqoi0cLEEIqIisaUDGZeBayeAxD43EtqUM47H1044nrelF3QWjy1evBj16tVDvXr1MHDgQCQmJkIIUaxzTp8+Hd999x2++eYbHDp0CAsWLEB8fLzzea1Wi+nTp2Pfvn348ssv8euvv2LMmDEu58jMzMT06dPx9ddf46effsK6detw//33Y/Xq1Vi9ejXmz5+PWbNmYenSpS6v+7//+z80bdoUO3bswLhx4/Diiy8iKSkpzzgzMzPRqVMnhISEYP369di4cSNCQkLQs2dP2O12yLKMe++9F3feeSf27NmDzZs348knnyzxk5x5f5QCSlUFjl1OhwYaGPUF/9vqj3VJOHrwbwBAo2at0LxNe3+EmCdFFdBpNBxiQERUVOFVgcE/3EhcE/sA980CVjzpeFwh3vF8XkMQvGD27NkYOHAgAKBnz55IT0/H77//jrvvvtvluPbt20Ordf1eSklJgU6Xe3XKU6dOoU6dOrjtttug0WgQFxfn8vzIkSOd2wkJCZg0aRKeeeYZzJgxw7lfkiTMnDkTtWrVAgA8+OCDmD9/Pi5evIiQkBA0bNgQnTp1wm+//Yb+/fs7X9ehQweMHTsWAFC3bl1s2rQJH3zwAbp165Yrzq+//hparRZffPGFM0GdO3cuIiIisG7dOrRu3RopKSm46667nHE0aBC4O6DuYs8sBdSFVCvOpWQhOsRU4HGqquKz9/7nfDzw6RcC+i/FLElGkFGPMDMnfxERFVl4NUfCWiHekcDO6X5TIlvNJ5c9dOgQ/vrrLzz88MMAAL1ej379+mHBggW5jl28eDF27drl8ievRBYABg8ejF27dqFevXoYMWIE1qxZ4/L8b7/9hm7duqFq1aoIDQ3FY489huTkZGRkZDiPsVgszgQSACpVqoT4+HiEhIS47Lt06ZLLudu1a5fr8YEDB/KMc/v27Th69ChCQ0MREhKCkJAQREZGwmq14p9//kFkZCQGDx6MHj16oG/fvvjwww9x/vz5PM9VkrBbiQJGUQX+uZwOrRu9smtXLXf2ytZv0hx3dO3ljxDzlWVXERNuhtmQ9y82IiIqRHg1R4/snO439t03y2eJLODolZVlGVWr3uj1FULAYDDg2rVrLhO8qlevjtq1a7t13pYtW+L48eP48ccfsXbtWvTr1w9du3bF0qVLcfLkSfTu3RtPP/00Jk2ahMjISGzcuBFDhw6FJEnOc9w8Hlej0eS5T1XVQuPJr7NHVVW0atUKCxcuzPVcxYoVATh6akeMGIGffvoJixcvxmuvvYakpCTceuuthV43UNgzSwFz7noWzqdYER1acK+sZLdj1gdvOx8/89LrAR+/Y5MVxIQVHDcRERUg5YxjaEFOK57MPSnMS2RZxrx58/Dee++59Lbu3LkT1atXx1dffVWs84eFhaF///74/PPPsXjxYixbtgxXr17Ftm3bIMsy3nvvPdx6662oW7cuzp0756V3hVzlwrZs2YL69evneWzLli1x5MgRxMTEoHbt2i5/wsNvVI9o0aIFxo0bhz/++AONGzcudtv4GpNZCgirpODghTSYdNpCl679eu6nOHf6BACgdfs7cEuHO/0QYcF0Wg2HGBAReSrnZK8K8cDja24MOcg5KcyLVq1ahWvXrmHo0KFo3Lixy5+7774bc+bMcTk+OTkZFy5ccPljtVrzPPcHH3yAr7/+GgcPHsThw4exZMkSVK5cGREREahVqxZkWcZHH32EY8eOYf78+fj000+99r42bdqEd999F4cPH8Ynn3yCJUuW4IUXXsjz2EceeQTR0dG45557sGHDBhw/fhy///47XnjhBZw5cwbHjx/HuHHjsHnzZpw8eRJr1qzB4cOHS/y4WSazFBDHLqcjOd1W6FjZC+fOYO7HUwE4ZoM+O+YNf4RXKLNBjzA3lt0lIqKbpJx1TWQH/wDUaOs6hjaxj+M4L5o9eza6du3q0gOZ7e6778auXbuwY8cO576uXbsiNjbW5U9+K2mFhITgnXfeQevWrXHLLbfgxIkTWL16NbRaLZo3b473338f77zzDho3boyFCxe6lO0qrtGjR2P79u1o0aIFJk2ahPfeew89evTI81iLxYL169ejRo0auP/++9GgQQM8/vjjyMrKQlhYGCwWCw4ePIgHHngAdevWxZNPPonnnnsOTz31lNfi9QWOmSW/S0634eildFSwGKEtpEbrh5Nfda72df8jj6Ne42b+CLFQEUF6jpclIvKEKQQIdozPdJnslT0pLLGP43lTSP7n8MD333+f73PNmjWDoijO6gVFLdU1bNgwDBs2LN/nX3zxRbz44osu+x599FHn9uDBgzF48GCX5ydMmIAJEya47EtMTMx17rCwMCxevDjfa9/8XipXrpxvbd2wsDCsWLEi33OVVExmya/ssor951Nhk1VUDDUXeOya75bi9zU/AAAio2Mw7MVx/gjRLRULGedLRET5MIcDA5flvQJYeDVg8GqfrwBGZQuTWfKrfy6l4+y1LFStEFTgcRfOncHUN24UlH7htckIDQv8LzZFdfwLN5TjZYmIPGcOzz9Z9VF9WSq7mMyS35xPycKhi6moEGyEXpv/cG1ZkvDm6GeQnpYKAOh+9wPodtf9/gqzQJl2GQAQxsUSiIgowHIuQ1uecQIY+UVKloQ9Z1IAFF4F4MP/vYZdWzcDACrFVsXoCe/6IUL3ZNgca2KbOF6WiIioRGAySz5nlRTsO3sdKZkSYgoZa7pyUSKWLZgNADAYjHjzw89LxPCCbLIbxaqJiIjIf5jMkk/ZZRW7T1/H6atZiI0wF7jYwdofVriMk3150lQ0adnGH2G6xSopMBWyUhkRERH5F7+ZyWfssoq9Z6/jeHIGYsODChwn+/uaHzBx9DPOZfr+M3Q47npwgL9CdUu6TUaYiRO/iIiIShIms+QTVknBrtPXcORiOiqFmmEsoEdzxVdz8epzQ6DIjslVffsNxHNjJ/orVLdl2RVUDGdJLiIiopKEU7LJ69KsEvaeScHJq5moEh6UbyIr2e345N2J+CbxM+e+Xvf1x5hJ7xU4HCEQFFVAowEqWJjMEhERlSTsmSWvuphqxZ/HruLM9SxUi8g/kT157Aie+c9dLonsI08+j1ff+Qg6XcmrFJBmlRBi1qOChf/+IyKi0uXEiRPQaDTYtWtXoEPxCSaz5BU2WcH+cynY/M8VpGZJqBoRBL0u98fLmpWJOR/9Hx7rcyf273asgW0wGDFm0lQ8O+YN51KCJU26TUaVcDOM+pKXaBMRkXsGDx4MjUaDt99+22X/Dz/8kKsjRQiBWbNmoW3btggJCUFERARat26NadOmITMz059hUyHYzUTFoqoC51OtOHwhDRdTrYgMNua5OpY1KxM/LPsaX854D1cuXXTur1ojAZOnf4F6jZv5M+wiUVQBASAmrODld4mIqGgUVcGOSztwOfMyKloqomVMS+i0vu00MJvNeOedd/DUU0+hQoUK+R736KOPYvny5Xjttdfw8ccfo2LFiti9ezemTZuG+Ph43HvvvT6Nk9zHZLYUK+yXQH7PK6qCP8//iW//+Rbn0s4hWBeMXuiFGbtmICIoAlFBUagUXMnl+B2XduBixkUkW5ORnJWMv6/8jYsZVyDJKsJ11SAJG1KUc9Br9YgyVkamnA4BgbRTKTi5/hjO/noK9jSbMzaNVotG9zZHZN9IzMl4C6ZtJpi1wUiTrsKgNSHcFIUwfQVAK5BmT4FdtcGoNSE+rD4aRLRCvfDm0GqK9gtPFQqOpOxBinQV4YZI1Alv6tY50qwSQk16VLAYAZScOrOB+BIgIvKWtSfX4u2/3sbFzBsdHJUslTC2zVh0jevqs+t27doVR48exZQpU/Duu3kvyvPNN99g4cKFWLlyJe655x7n/vj4eNx9991ITU3N83XXrl3Dc889hzVr1iA9PR3VqlXDf//7XwwZMgQA8Morr2DFihU4c+YMKleujEceeQTjx4+HweDoBJowYQJWrlyJESNGYMKECbh69SoeffRRfPzxx3jvvffw/vvvQ1VVvPDCC3j11Ved19VoNJgxYwa+++47rFu3DpUrV8a7776Lhx56KN922L9/P1566SWsX78ewcHB6N69Oz744ANER0cDAJYuXYqJEyfi6NGjsFgsaNGiBVasWFG0xvaTEpHMzpgxA//3f/+H8+fPo1GjRpg2bRpuv/32fI///fffMWrUKPz999+oUqUKxowZg6efftqPEQdeYb8E8nu+d0JvLD60GJnyjVskJpjQK6IX5u+fDxtsuY5ffXy1y3ludg4nnNuqTcXhg/uQvi8d6X+nw3bOluv40JahqPRAJeD/27vzuKjK/Q/gn8MM28AAyTaMsmjugAtBiruhEJovVHIpC0KzTFSQSz/NJc1cu2V6WyxKljKFzCW7YWgqSmImkLvXhXDpCnIxdVhk1uf3h83kOAMMCp4z+X33mpfMWZ75ni+n4TvPPOc5bVX4AxWAGnced6lQXjb7Wv9RlOCH3zfCSeyCFzumIsRjUINx3a2k6gByfvsAN1T/Myx7zM4TEzrMbLKNGqUGnbyc4WArglotjGKWrz8ChBDSEn689CNS8lNw53uvv1TWVSIlPwWrh6xutfcykUiE5cuX4/nnn8esWbMgl8tNtvnqq6/QpUsXo0JWj+M4uLqav5nPwoULcfr0aezcuRMeHh64cOECbt++bVgvlUqRmZkJuVyOEydOYOrUqZBKpfi///trjvXS0lLs3LkTP/zwA0pLS/Hss8+irKwMnTt3xv79+1FYWIjJkycjIiICffv2NXrtlStXYu3atfjyyy/x3HPPISgoCN26dTOJs7y8HIMHD8bUqVOxevVq3L59G3PmzMH48eOxd+9elJeX47nnnsM777yDMWPGoLq6GgUFBWCMmbQlBLwXszk5OUhOTsbHH3+M/v3749NPP0V0dDROnz4NPz8/k+3LysowYsQITJ06FRs2bMDBgwcxffp0eHp6IjY2locjePiaehN4KfAlZJ7KNFl/re4aMk5lWPw6jW2vU+qg/kMNVZUKyt+VqP+9HvWX66G8qgTTmjnZRYDrk67wiPKAY4CjxTE0pFajwCf/eRPTui5pshgtqTqAT/7zpsnyG6r/NdmGSqMDxwHersIZYsDnHwFCCHlQWp0WK39ZafIeBgAMDBw4rPplFYb6Dm21b5vGjBmDXr16YdGiRfjss89M1p8/fx5dunRpdruXL19G7969ERoaCuBOT+7dFixYYPg5ICAA//jHP5CTk2NUzOp0OqSnp0MqlaJ79+4YOnQozp49i9zcXNjY2KBLly5YtWoV8vPzjYrZcePG4eWXXwYAvP3229i9ezc++OADfPzxxyZxrlu3DiEhIVi+fLlhWXp6Onx9fXHu3DnU1NRAo9Fg7Nix8Pf3BwAEBwdDp9M12CvNJ96L2dWrV2PKlCmGX8CaNWuQl5eHdevWYcWKFSbbf/LJJ/Dz88OaNWsAAN26dUNRURHeffddQRazCoUCV65cAWPM8Inm7n+bWnbveo1Wgzf2voHa+tq/XoTB8KbAMQ4fn/sYOqYzXn/vp6k/nzINw23Nbfxk9xOu37oOlVoFpmFgagadSgdtnRba2j8ff/6suaWBtlrb9MHbAJIOErj2cYVrH1eIXVr+dMv57QP0cu/f4HABHdMi57cPmmjjwwbbqKyuR7vHHOEtFUYxK4Q/AoQQ8iBKKksa/baPgaGirgIllSUIk4W1WhyrVq3CU089hdmzZ5vGwNh9TRH52muvITY2FiUlJYiMjMTo0aPRr18/w/pvvvkGa9aswYULFwwFo4uLi1EbAQEBkEqlhufe3t4QiURGF0h7e3ujsrLSaL/w8HCT5w3NXlBcXIx9+/bB2dnZZF1paSkiIyMRERGB4OBgREVFITIyEs8++2yDPdJ847WYValUKC4uxty5c42WR0ZGorCw0Ow+hw4dQmRkpNGyqKgorF+/Hmq12jDu5G5KpRJK5V9fd+s/VajVaqjVapPtW9Lu3bvx7LPPtuprtIR38e6DN2IDOMgc4NzFGS5BLpB2lULs1LqnWJ1KgfM3jqGTaw+z68/fOo46lQL2aHh+2DrVLbNt3FZpIIYO/m0coNVqoNXCcL609nnTkJJrJbhZd7PR47lRdwNFV4sQ4h3yECMzxXeurAnlyjKUJ8u1dq7UajUYY9DpdIY7N1qqsray6Y3+3K65bTdF30mk0+kwYMAAREZGYv78+Rg/fjwAGF6vU6dOOHPmTLNfPyoqCmVlZfj++++xZ88eREREYPr06fjnP/+Jn3/+GRMnTsTixYsRGRkJV1dX5OTkGMbB6uOztbU1eV2xWGy0jOM4aLVao2X3/i70Bfndy/U/a7VaPPPMMyazOgCAj48POI5DXl4eCgsLDT288+fPR2FhITw8PAw5bAk6nQ6MMajVapMZJSw9f3ktZquqqqDVauHt7W203NvbGxUVFWb3qaioMLu9RqNBVVUVfHx8TPZZsWIF3nrL9I5Su3btgkQieYAjaFpxcXGrtv+w2dnZwcXFBZ6envD09ISHhwfatm2LgIAA+Pr6ws7O7uEHdbUOVVd/NrvqMQAL3Rbedxs2AI7813Tz3bt3Ny/GFmTJ8VQUVyAXuQ8hmqbxmStrQ7myDOXJcq2VK7FYDJlMhpqaGqhUqmbtK2GW/d2VMEmLf6WtVquh0WgM7c6fPx+DBg0yfJWuXz569GhMmTIF2dnZGDFihFEbjDEoFIoGeynt7e0xduxYjB07FqGhoVi0aBEWLlyIvXv3wtfXFzNmzDBse+HCBUN7wJ3ON61Wa3Tc98YMABqNBiqVymhZQUGB0QwLhYWFCA4OhkKhQE1NDQCgtrYWCoUCgYGB+O6779CmTRuIxcal4N2vHxwcjODgYCQlJaFHjx7IyclBYmIiqqurLci2ZVQqFW7fvo0DBw5A8+edQPUsnQKN92EGAEy68pvq3je3vbnlem+88QZSUlIMzxUKBXx9fREZGWnSvd/S5HI5KioqcFulRb1GZ4jx7n/vXWZ2PQdw4HBDWYWSqoOAftO7Dtnk+LkG1t+9TMTB1tYWEdII5KvzobPVgbPlYCO2AWfLQewkhshJBJFEBLGTGDZ2f33NUfvnf5dwCYUoBOpw5/GQLe37PoI8eptdd7LqVyz42fQrJEvbeEwiNppbVq1WY/fu3Rg+fLjZbwFaW8m1EiTuSWxyu48iPhJEzyyfubImlCvLUJ4s19q5qq+vx5UrV+Ds7AwHh+YNwxrgPADev3qjsq7S7JApDhy8JF4YEDCgxYdL2draQiwWG/72h4eH4/nnnzeMm9Uvj4+PR15eHl5++WUsWLAAw4YNg6enJ06cOIG1a9ciMTHR7NRcixYtQkhICAIDA6FUKrFnzx5069YNLi4uCAwMxO+//47c3FyEhYUhNzcX33//PTiOM7yuvb09RCKRUW1yb8zAnQ8T+s4lvR07diA8PBwDBgzAxo0bUVxcjPT0dLi4uBiGEzg5OcHFxQWzZ8/Gl19+iWnTpiE1NdVwsVpOTg7S0tJQVFSEvXv3Yvjw4fDy8sLhw4dRVVWFnj3vTKMplUpb7E6d9fX1cHR0xKBBg0zOJUs/zPBazHp4eEAkEpn0wlZWVpr0vurJZDKz24vFYri7u5vdx97eHvb2pl/L2tratvobYlhYGMLCWm7Mj1anRdSWqEbfBDiOMx4z2wR72CPGLQbHbx43ms3gbgwM6nunHBAAb4k3hnfq1+Abns9j/fDucbdG89VUG+Y8jHPHnFB5KNwkTR9PqDxUMGNm+cqVNaJcWYbyZLnWypVWqwXHcbCxsWn2zW5sbGww98m5SMlPAQfO6L2M+7O3Ze6Tc2Erbvm49R1Ed8e8ZMkSbN682RCb3qZNm5CWlob09HQsW7YMYrEYnTp1QlxcHKKjo80et729PebPn4+LFy/C0dERAwcORHZ2NmxsbDBmzBjMnj0bs2bNglKpxMiRI7Fw4UIsXrzY0Ja+QLy7bXMx65ffveytt97C119/jRkzZkAmk+Grr75CUFCQUXv631e7du1w8OBBzJkzB9HR0VAqlfD398fTTz8NsVgMNzc3FBQUYO3atVAoFPD398d7772HESNGQKFQmI3nftnY2IDjOLPnqqXnLsd4nmehT58+eOKJJ4yutuvevTtiYmLMXgA2Z84cfPfddzh9+rRh2WuvvYajR4/i0KFDFr2m/uuBW7dutXrPbGvQX80OwOybgH42g3vXN8Qe9ljothBv33y7wWJWqN4f8n6TV+43la/mXP2vVquRm5uLESNG8PbHtCWPpzUJIVfWgnJlGcqT5Vo7V/X19SgrK0P79u2b3TOrZ26KQZlEhjlPznmo72H6K/RdXFwEexfKpnAch23btrX6jRxaI1eNnUuW1mu8/9ZSUlLw+eefIz09HWfOnMHs2bNx+fJlw7yxb7zxBuLi4gzbT5s2DZcuXUJKSgrOnDmD9PR0rF+/HqmpqXwdwkM3zH8YVg9ZDS+Jl9Fyb4k3Vg9ZjZTQFLPrZRIZEgITIBFbNl5Jv723xHwvOZ/c7N0sKmSBpvMlhMKvOf5ux0MIeTQN8x+GvNg8pEelY9XAVUiPSscPsT/QexhpNt7HzE6YMAHXr1/HkiVLUF5ejqCgIOTm5hoGY5eXl+Py5b8m0G/fvj1yc3Mxe/ZsfPTRR5DL5fjXv/4lyGm5WtMw/2EY6ju0wTtANbY+KSTJ5A5gUAIvdn/R7B3AkkKSzN4B7Prt6wCAjm4dUaepw+XqyxBzYsid5FCo74xz0TEdNEwDV3tXxHePx5OyJ1FSWYLD5Yfxu+J3nP7jNNQ6NRzFjnASO+F6/XU4iBzgIfGAu707mA3DjfobqFfXw9HWEYEegejr0xdhsrBmfY3eVL6szd/teAghjyaRjahVp98ijwbei1kAmD59OqZPn252XWZmpsmywYMHo6SkpJWjEr6m3gQaWi+yEaFf237o1/bO3Hf6r6Om95pu9uuoln6z6Svvi77yvk1v2ML+bm+af7fjIYQQcn+Eemeuh4X3YQaEEEIIIYTcLypmCSGEEHJfHvUeQfLgWuIcomKWEEIIIc2iH5Jm6aT2hDREfw49yKwbghgzSwghhBDrIRKJ4ObmhsrKO7emlUgkLTaJ/sOm0+mgUqlQX19vtVNzPSwtmSvGGOrq6lBZWQk3NzeTW9k2BxWzhBBCCGk2mUwGAIaC1loxxnD79m04OjpabUH+sLRGrtzc3Azn0v2iYpYQQgghzcZxHHx8fODl5QW1Wnh3iLSUWq3GgQMHMGjQILoZRxNaOle2trYP1COrR8UsIYQQQu6bSCRqkYKELyKRCBqNBg4ODlTMNkGouaLBIYQQQgghxGpRMUsIIYQQQqwWFbOEEEIIIcRqPZJjZvUT9CoUCp4jEQa1Wo26ujooFApBjYERIsqV5ShXlqNcWYbyZDnKleUoV5Z72LnS12lN3VjhkSxmq6urAQC+vr48R0IIIYQQQhpTXV0NV1fXBtdz7BG8F51Op8PVq1chlUppTjnc+eTj6+uLK1euwMXFhe9wBI1yZTnKleUoV5ahPFmOcmU5ypXlHnauGGOorq6GXC5v9CYNj2TPrI2NDdq1a8d3GILj4uJC/yNbiHJlOcqV5ShXlqE8WY5yZTnKleUeZq4a65HVowvACCGEEEKI1aJilhBCCCGEWC0qZgns7e2xaNEi2Nvb8x2K4FGuLEe5shzlyjKUJ8tRrixHubKcUHP1SF4ARgghhBBC/h6oZ5YQQgghhFgtKmYJIYQQQojVomKWEEIIIYRYLSpmCSGEEEKI1aJi9hF24MABjBo1CnK5HBzHYfv27XyHJFgrVqxAWFgYpFIpvLy8MHr0aJw9e5bvsARn3bp16NGjh2FC7fDwcOzcuZPvsKzCihUrwHEckpOT+Q5FcBYvXgyO44weMpmM77AE67///S9eeOEFuLu7QyKRoFevXiguLuY7LMEJCAgwOa84jkNiYiLfoQmKRqPBggUL0L59ezg6OqJDhw5YsmQJdDod36EZPJJ3ACN31NbWomfPnkhISEBsbCzf4Qja/v37kZiYiLCwMGg0GsyfPx+RkZE4ffo0nJyc+A5PMNq1a4eVK1eiY8eOAICsrCzExMTg119/RWBgIM/RCdeRI0eQlpaGHj168B2KYAUGBuLHH380PBeJRDxGI1w3btxA//79MXToUOzcuRNeXl4oLS2Fm5sb36EJzpEjR6DVag3PT548ieHDh2PcuHE8RiU8q1atwieffIKsrCwEBgaiqKgICQkJcHV1RVJSEt/hAaBi9pEWHR2N6OhovsOwCj/88IPR84yMDHh5eaG4uBiDBg3iKSrhGTVqlNHzZcuWYd26dfj555+pmG1ATU0NJk2ahM8++wxLly7lOxzBEovF1BtrgVWrVsHX1xcZGRmGZQEBAfwFJGCenp5Gz1euXInHH38cgwcP5ikiYTp06BBiYmIwcuRIAHfOp02bNqGoqIjnyP5CwwwIuQ+3bt0CALRp04bnSIRLq9UiOzsbtbW1CA8P5zscwUpMTMTIkSMxbNgwvkMRtPPnz0Mul6N9+/aYOHEifvvtN75DEqQdO3YgNDQU48aNg5eXF3r37o3PPvuM77AET6VSYcOGDZg8eTI4juM7HEEZMGAA9uzZg3PnzgEAjh07hp9++gkjRozgObK/UM8sIc3EGENKSgoGDBiAoKAgvsMRnBMnTiA8PBz19fVwdnbGtm3b0L17d77DEqTs7GyUlJTgyJEjfIciaH369MEXX3yBzp0749q1a1i6dCn69euHU6dOwd3dne/wBOW3337DunXrkJKSgnnz5uGXX37BrFmzYG9vj7i4OL7DE6zt27fj5s2beOmll/gORXDmzJmDW7duoWvXrhCJRNBqtVi2bBmee+45vkMzoGKWkGaaMWMGjh8/jp9++onvUASpS5cuOHr0KG7evIktW7YgPj4e+/fvp4L2HleuXEFSUhJ27doFBwcHvsMRtLuHQwUHByM8PByPP/44srKykJKSwmNkwqPT6RAaGorly5cDAHr37o1Tp05h3bp1VMw2Yv369YiOjoZcLuc7FMHJycnBhg0bsHHjRgQGBuLo0aNITk6GXC5HfHw83+EBoGKWkGaZOXMmduzYgQMHDqBdu3Z8hyNIdnZ2hgvAQkNDceTIEaxduxaffvopz5EJS3FxMSorK/HEE08Ylmm1Whw4cAAffvghlEolXeTUACcnJwQHB+P8+fN8hyI4Pj4+Jh8cu3Xrhi1btvAUkfBdunQJP/74I7Zu3cp3KIL0+uuvY+7cuZg4cSKAOx8oL126hBUrVlAxS4g1YYxh5syZ2LZtG/Lz89G+fXu+Q7IajDEolUq+wxCciIgInDhxwmhZQkICunbtijlz5lAh2wilUokzZ85g4MCBfIciOP379zeZNvDcuXPw9/fnKSLh01/Qq7/AiRirq6uDjY3xJVYikYim5iLCUFNTgwsXLhiel5WV4ejRo2jTpg38/Px4jEx4EhMTsXHjRnz77beQSqWoqKgAALi6usLR0ZHn6IRj3rx5iI6Ohq+vL6qrq5GdnY38/HyT2SAIIJVKTcZcOzk5wd3dncZi3yM1NRWjRo2Cn58fKisrsXTpUigUCsH0CgnJ7Nmz0a9fPyxfvhzjx4/HL7/8grS0NKSlpfEdmiDpdDpkZGQgPj4eYjGVROaMGjUKy5Ytg5+fHwIDA/Hrr79i9erVmDx5Mt+h/YWRR9a+ffsYAJNHfHw836EJjrk8AWAZGRl8hyYokydPZv7+/szOzo55enqyiIgItmvXLr7DshqDBw9mSUlJfIchOBMmTGA+Pj7M1taWyeVyNnbsWHbq1Cm+wxKs7777jgUFBTF7e3vWtWtXlpaWxndIgpWXl8cAsLNnz/IdimApFAqWlJTE/Pz8mIODA+vQoQObP38+UyqVfIdmwDHGGD9lNCGEEEIIIQ+G5pklhBBCCCFWi4pZQgghhBBitaiYJYQQQgghVouKWUIIIYQQYrWomCWEEEIIIVaLillCCCGEEGK1qJglhBBCCCFWi4pZQgghhBBitaiYJYQQAamrq0NsbCxcXFzAcRxu3rzJd0iEECJoVMwSQsifKisr8eqrr8LPzw/29vaQyWSIiorCoUOHDNtwHIft27eb7JucnIwhQ4YAuHMv82HDhpl9jUOHDoHjOJSUlJhdn5WVhYKCAhQWFqK8vByurq4PfFwAMGTIECQnJ7dIW/fj2LFjsLe3x44dO4yWb9myBQ4ODjh58iRPkRFCrJ2Y7wAIIUQoYmNjoVarkZWVhQ4dOuDatWvYs2cP/vjjj2a1M2XKFIwdOxaXLl2Cv7+/0br09HT06tULISEhZvctLS1Ft27dEBQUdN/H0ZrUajVsbW2bvV/Pnj2xcOFCvPLKK+jfvz/c3d1RWVmJadOm4a233hLs8RJCrAAjhBDCbty4wQCw/Pz8RrcDwLZt22ayPCkpiQ0ePJgxxpharWbe3t5s8eLFRtvU1tYyqVTKPvjgA7NtDx48mAEwPPTtKZVK9vrrrzO5XM4kEgl78skn2b59+wz7VVVVsYkTJ7K2bdsyR0dHFhQUxDZu3GhYHx8fb9QuAFZWVsYyMjKYq6urUQzbtm1jd/9pWLRoEevZsydbv349a9++PeM4jul0Onbz5k02depU5unpyaRSKRs6dCg7evRoo7nTaDQsLCyMTZgwgTHG2OjRo1l4eDjTaDSN7kcIIY2hYQaEEALA2dkZzs7O2L59O5RK5QO1JRaLERcXh8zMTDDGDMs3b94MlUqFSZMmmd1v69atmDp1KsLDw1FeXo6tW7cCABISEnDw4EFkZ2fj+PHjGDduHJ5++mmcP38eAFBfX48nnngC//73v3Hy5Em88sorePHFF3H48GEAwNq1axEeHo6pU6eivLwc5eXl8PX1tfh4Lly4gK+//hpbtmzB0aNHAQAjR45ERUUFcnNzUVxcjJCQEERERDTaiy0SiZCVlYVvv/0Wzz//PPLy8pCZmQmRSGRxLIQQci8qZgkhBHcK0MzMTGRlZcHNzQ39+/fHvHnzcPz48ftqb/Lkybh48SLy8/MNy9LT0zF27Fg89thjZvdp06YNJBIJ7OzsIJPJ0KZNG5SWlmLTpk3YvHkzBg4ciMcffxypqakYMGAAMjIyAABt27ZFamoqevXqhQ4dOmDmzJmIiorC5s2bAQCurq6ws7ODRCKBTCaDTCZrVgGpUqnw5Zdfonfv3ujRowf27duHEydOYPPmzQgNDUWnTp3w7rvvws3NDd98802jbXXr1g3JycnYtGkTFi9ejM6dO1scByGEmEPFLCGE/Ck2NhZXr17Fjh07EBUVhfz8fISEhCAzM7PZbXXt2hX9+vVDeno6gDtjYQsKCjB58uRmtVNSUgLGGDp37mzoPXZ2dsb+/ftRWloKANBqtVi2bBl69OgBd3d3ODs7Y9euXbh8+XKz4zbH398fnp6ehufFxcWoqakxvJb+UVZWZoipITU1NcjJyYFEIkFBQUGLxEcIebTRBWCEEHIXBwcHDB8+HMOHD8ebb76Jl19+GYsWLcJLL70EAJBKpbh165bJfjdv3jSZeWDKlCmYMWMGPvroI2RkZMDf3x8RERHNiken00EkEqG4uNikN9XZ2RkA8N577+H999/HmjVrEBwcDCcnJyQnJ0OlUjXato2NjdEwCODOBV73cnJyMonJx8fHqNdZz83NrdHXfP3112FnZ4fCwkKEh4fjiy++QFxcXKP7EEJIY6hnlhBCGtG9e3fU1tYannft2hVHjhwx2oYxhuLiYnTp0sVo+fjx4yESibBx40ZkZWUhISEBHMc16/V79+4NrVaLyspKdOzY0eghk8kAAAUFBYiJicELL7yAnj17okOHDobxtHp2dnbQarVGyzw9PVFdXW10fPoxsY0JCQlBRUUFxGKxSUweHh4N7rd79258/vnnyMzMRM+ePbF8+XIkJyejvLy8GRkhhBBjVMwSQgiA69ev46mnnsKGDRtw/PhxlJWVYfPmzXjnnXcQExNj2C41NRXr16/Hhx9+iHPnzuHYsWOYMWMGSktLkZiYaNSms7MzJkyYgHnz5uHq1auG3t3m6Ny5MyZNmoS4uDhs3boVZWVlOHLkCFatWoXc3FwAQMeOHbF7924UFhbizJkzePXVV1FRUWHUTkBAAA4fPoyLFy+iqqoKOp0Offr0gUQiwbx583DhwgVs3LjRoiEVw4YNQ3h4OEaPHo28vDxcvHgRhYWFWLBgAYqKiszuo1AoMGXKFKSmpqJv374AgFmzZiEwMBCvvPJKs/NCCCEG/E6mQAghwlBfX8/mzp3LQkJCmKurK5NIJKxLly5swYIFrK6uzmjb7OxsFhoaylxcXJiXlxeLiopiRUVFZtstLCxkAFhkZKRFcdw9xZeeSqVib775JgsICGC2trZMJpOxMWPGsOPHjzPGGLt+/TqLiYlhzs7OzMvLiy1YsIDFxcWxmJgYQxtnz55lffv2ZY6OjoapuRi7MxVXx44dmYODA3vmmWdYWlqa2am57qVQKNjMmTOZXC5ntra2zNfXl02aNIldvnzZ7HElJCSwoKAgplQqjZafP3+eSSQSlpWVZVF+CCHkXhxj9wyYIoQQQgghxErQMANCCCGEEGK1qJglhBBCCCFWi4pZQgghhBBitaiYJYQQQgghVouKWUIIIYQQYrWomCWEEEIIIVaLillCCCGEEGK1qJglhBBCCCFWi4pZQgghhBBitaiYJYQQQgghVouKWUIIIYQQYrX+H4YVruQyottEAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize, stats\n", "from numpy.linalg import inv\n", "\n", "# ========= Data checks =========\n", "assert np.all(X > 0)\n", "n1, n0 = int(y.sum()), int((1-y).sum())\n", "m_emp = n1/(n1+n0)\n", "print(f\"AE={n1}, NC={n0}, empirical p_AE={m_emp:.6f}\")\n", "\n", "# ========= Likelihoods =========\n", "def logpdf_ae(x, a, b, sc):\n", " return stats.betaprime.logpdf(x, a=a, b=b, scale=sc)\n", "\n", "def logpdf_nc(x, mu, sig):\n", " return stats.lognorm.logpdf(x, s=sig, scale=np.exp(mu))\n", "\n", "def neg_conditional_ll(theta, X, y, eps=1e-12):\n", " p, a, b, sc, mu, sig = theta\n", " if not (0 < p < 1): \n", " return np.inf\n", " logf1 = logpdf_ae(X, a, b, sc)\n", " logf0 = logpdf_nc(X, mu, sig)\n", " logit = np.log(p) - np.log(1-p) + (logf1 - logf0)\n", " p_x = 1.0 / (1.0 + np.exp(-np.clip(logit, -50, 50)))\n", " return -np.sum(y*np.log(p_x+eps) + (1-y)*np.log(1-p_x+eps))\n", "\n", "# ========= MAP prior on p_AE =========\n", "def make_neg_posterior(TAU, m_emp):\n", " alpha = max(m_emp*TAU, 1e-8)\n", " beta = max((1-m_emp)*TAU, 1e-8)\n", " def neg_post(theta, X, y):\n", " p = theta[0]\n", " nll = neg_conditional_ll(theta, X, y)\n", " penalty = -((alpha-1)*np.log(p+1e-12) + (beta-1)*np.log(1-p+1e-12))\n", " return nll + penalty\n", " return neg_post\n", "\n", "# ========= Fit =========\n", "USE_MAP = True \n", "TAU = 25.0 \n", "HEAVY_TAIL = True \n", "\n", "b_upper = 1.0 if HEAVY_TAIL else 50.0\n", "bounds = [\n", " (1e-3, 1-1e-3),\n", " (0.3, 20.0),\n", " (0.2, b_upper),\n", " (0.01, 5.0),\n", " (np.log(X).min()-1.5, np.log(X).max()+1.5),\n", " (0.05, 1.50),\n", "]\n", "\n", "p0 = np.clip(m_emp, bounds[0][0], bounds[0][1])\n", "X0 = X[y==0]; mu0 = np.mean(np.log(X0)); sig0 = np.std(np.log(X0), ddof=0)\n", "X1 = X[y==1]; m1 = np.mean(X1)\n", "a0, b0 = 3.0, min(0.8, b_upper)\n", "sc0 = np.clip(m1 * (b0 - 1 + 1e-6)/max(a0,1e-6), bounds[3][0], bounds[3][1])\n", "theta0 = np.array([p0, a0, b0, sc0, mu0, max(sig0, 0.08)], float)\n", "\n", "obj = make_neg_posterior(TAU, m_emp) if USE_MAP else neg_conditional_ll\n", "res = optimize.minimize(\n", " fun=obj, x0=theta0, args=(X,y),\n", " method=\"L-BFGS-B\", bounds=bounds, options=dict(maxiter=4000, ftol=1e-12)\n", ")\n", "\n", "theta_hat = res.x\n", "print(\"Success:\", res.success, res.message)\n", "names = [\"p_AE\",\"a\",\"b\",\"scale\",\"mu_nc\",\"sigma_nc\"]\n", "for k,v in zip(names, theta_hat):\n", " print(f\"{k:>8s}: {v:.6f}\")\n", "\n", "# ========= Covariance via Hessian =========\n", "def numerical_hessian(f, theta, args, step=None):\n", " theta = np.asarray(theta, dtype=float)\n", " p = theta.size\n", " H = np.zeros((p,p), dtype=float)\n", " if step is None:\n", " step = np.maximum(1e-5, 1e-4*np.maximum(1.0, np.abs(theta)))\n", " for i in range(p):\n", " for j in range(i, p):\n", " ei = np.zeros(p); ej = np.zeros(p)\n", " ei[i] = step[i]; ej[j] = step[j]\n", " fpp = f(theta + ei + ej, *args)\n", " fpm = f(theta + ei - ej, *args)\n", " fmp = f(theta - ei + ej, *args)\n", " fmm = f(theta - ei - ej, *args)\n", " H_ij = (fpp - fpm - fmp + fmm) / (4.0*step[i]*step[j])\n", " H[i,j] = H_ij\n", " H[j,i] = H_ij\n", " return H\n", "\n", "H = numerical_hessian(obj, theta_hat, (X,y))\n", "try:\n", " cov = inv(H)\n", "except np.linalg.LinAlgError:\n", " cov = np.full_like(H, np.nan)\n", " print(\"WARNING: Hessian not invertible.\")\n", "\n", "# ========= Predict + gradient =========\n", "def predict_proba_given_theta(x, theta):\n", " p, a, b, sc, mu, sig = theta\n", " logf1 = logpdf_ae(x, a, b, sc)\n", " logf0 = logpdf_nc(x, mu, sig)\n", " logit = np.log(p) - np.log(1-p) + (logf1 - logf0)\n", " return 1.0 / (1.0 + np.exp(-np.clip(logit, -50, 50)))\n", "\n", "def grad_posterior_at_x(x, theta, h=1e-5):\n", " g = []\n", " for i in range(len(theta)):\n", " th1 = theta.copy(); th1[i] += h\n", " th2 = theta.copy(); th2[i] -= h\n", " f1 = predict_proba_given_theta(x, th1)\n", " f2 = predict_proba_given_theta(x, th2)\n", " g.append((f1 - f2)/(2*h))\n", " return np.array(g)\n", "\n", "# ========= CI band =========\n", "z = 1.96\n", "x_grid = np.linspace(max(1e-6, X.min()*0.6), max(X.max()*1.5, 8.0), 300)\n", "p_grid, lo_band, hi_band = [], [], []\n", "\n", "for x in x_grid:\n", " p_val = predict_proba_given_theta(x, theta_hat)\n", " p_grid.append(p_val)\n", " if np.all(np.isfinite(cov)):\n", " g = grad_posterior_at_x(x, theta_hat)\n", " var_p = float(g @ cov @ g)\n", " se = np.sqrt(max(var_p, 0.0))\n", " lo_band.append(max(p_val - z*se, 0))\n", " hi_band.append(min(p_val + z*se, 1))\n", " else:\n", " lo_band.append(np.nan)\n", " hi_band.append(np.nan)\n", "\n", "p_grid = np.array(p_grid); lo_band = np.array(lo_band); hi_band = np.array(hi_band)\n", "\n", "# ========= Plot =========\n", "plt.figure(figsize=(8,5))\n", "plt.plot(x_grid, p_grid, 'k-', lw=2, label=\"P(AE|X) [MAP]\")\n", "plt.fill_between(x_grid, lo_band, hi_band, color='C0', alpha=0.25, label=\"95% CI\")\n", "plt.scatter(X[y==1], np.ones(n1), marker='x', c='C1', label=\"AE samples\")\n", "plt.scatter(X[y==0], np.zeros(n0), marker='o', c='C2', label=\"NC samples\")\n", "plt.xlabel(\"SUV feature X\"); plt.ylabel(\"Predicted P(AE | X)\")\n", "plt.title(\"BetaPrime–LogNormal MAP fit with 95% CI band\")\n", "plt.ylim(-0.05, 1.05); plt.legend(); plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 19, "id": "9a2f22e2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best p_AE = 0.0412587935964821 LogLik = -9.73920482999608\n", "Profile Likelihood 95% CI for p_AE ≈ (0.050, 0.188)\n" ] }, { "data": { "image/png": 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C06dP8fLywsYm9WNpUrS95Pbt23h7e6sdhhBCCCFykZs3b1KsWLFU+0jR9pL4C1lv3rxJ3rx5M7WtiJgIvKYbplG5/dFtnO1diJ8lxc4O5EBe6hSFVPOl0+kICgqiRYsW2Nvbmz9AYTLZZ9ZJ9pv1kX1mPcLDw/H29k7XjTRStL0k/pRo3rx5M1202cbYgiPG7aFzIX9+w+Nnz8DFJVObz/EiIkg1XzqdDmdnZ/LmzStfSlZC9pl1kv1mfWSfWZ/0XJIlNyIIIYQQQlgBOdJmRs7O8OhRwrJIneRLCCGESCBFmxlpNAmn+0TaJF9CCCFEAjk9KoQQQghhBeRImxnFxMDEiYbl0aPBwUHdeCyd5EsIIYRIIEWbGel0MHasYfnjj6UISYvkSwghhEggRZsZ2dnBoEEJyyJ1ki8hhBAigfwqNCOtFubPVzsK6yH5EkIIIRLIjQhCCCGEEFZAijYhhBBCCCsgRZsZRUSAvb2hRUSoHY3lk3wJIYQQCeSaNjOLnwBdpI/kSwghhDCwmiNtEyZMoG7dujg7O5M/hWHyQ0JCaN++PS4uLri5uTF06FBiYmLMG2gqnJxg06Zj7N17iYiI+8TFxakdkkVzcoJ//zU0Jye1oxFCCCHUZTVH2mJiYnjjjTfw9/dn8eLFSZ7X6/W0bduWwoULExwczIMHDwgICEBRFObOnatCxEnpdNF07lzL+NjGxoZChQpRuHBh3NzcKFy4sLG9/NjLyws3Nzc0Go2KP4F52dhA0aJqRyGEEEJYBqsp2sb+N8rqsmXLkn0+KCiIc+fOcfPmTby8vACYPn06ffr0YcKECeTNm9dcoabo/v37iR7HxcVx79497t27l67Xu7i4UKpUKWMrWbKkcdnHxwcnORwlhBBC5FhWU7Sl5dChQ1SqVMlYsAG0bNmS6OhoTpw4QePGjZN9XXR0NNHR0cbH4eHhAOh0OnQ6XaZievH1hu1p+N//tvDs2TMKF17NgwehPHjwgHv37hGRjivtIyIiOHPmDGfOnEn2eU9PT0qWLImPjw8lS5akXLlylC9fnnLlylllQRcTA3PnGs7gv/9+XJIZEeLzm9n9JMxH9pl1kv1mfWSfWQ9T9lGOKdrCwsIoUqRIonUFChTAwcGBsLCwFF83adIk41G8FwUFBeHs7JypmKL0UcblnTt3gs6FP/5oD8CaNa44OuqNz0dHRxMeHm5sT548SfTv/fv3uXPnDnfv3iU2havzQ0NDCQ0N5eDBg4nWazQaihQpgre3N8WKFcPb29u4bMnFXFSULaNGtQOgZMntifL1ol27dpkzLJEFZJ9ZJ9lv1kf2meWLjIxMd19Vi7bAwMBkC6YXHTt2DD8/v3RtL7nrvRRFSfU6sFGjRjF8+HDj4/DwcLy9vWnRokWmT6lGxETAfwfFWrZsiZ3iQq9ehpsP2rZtiVZr+jb1ej23b9/m2rVrybY7d+4keY2iKISFhREWFsaxY8cSPVe8eHHKly9PhQoV8PX15dVXX8XX19ciirnoaFLNl06nY9euXTRv3hx7e3sVIhSmkn1mnWS/WR/ZZ9Yj/gxfeqhatA0ZMoTu3bun2sfHxydd2/Lw8ODIkSOJ1j169AidTpfkCNyLtFot2mSqJ3t7+0x/0O2VhNfb29vj4mDPihXxazJ24669vb3xOrbkREREcP36dS5fvsyFCxc4d+4c586d4/z588megg0JCSEkJISgoCDjOhsbG8qXL0/VqlWNrUqVKri7u2co5oyytydd+cqKfSXMS/aZdZL9Zn1kn1k+U/aPqkWbm5sbbm5uWbItf39/JkyYQGhoKJ6enoDhFKdWq6VGjRpZ8h7WwMXFhYoVK1KxYkU6duxoXB8XF8fNmzeNBVx8MXfu3DmePHmSaBtxcXHG51avXm1c7+npaSzg4ou5MmXKYGtra7afTwghhMitrOaatpCQEB4+fEhISAh6vZ7Tp08DUKZMGfLkyUOLFi3w9fWlV69eTJ06lYcPHzJixAj69etnEXeOqs3GxoYSJUpQokQJWrdubVyvKAqhoaGcP3+ev/76iz///JPTp09z7ty5JBdHxl8zt337duM6FxcXqlevTs2aNfHz88PPz4/SpUtjY2M1QwAKIYQQVsFqirYvv/yS5cuXGx9Xq1YNgL1799KoUSNsbW3Ztm0bgwYNol69ejg5OdGjRw+mTZumVshJREQkjDt26xa4uKgbDxiuA/Ty8sLLy4umTZsa18fExHD+/HlOnz5tLOROnz7No0ePEr0+IiKCP/74gz/++MO4Ll++fMYCzs/Pj5o1a1K8eHGTx5izxHwJIYQQarGaom3ZsmUpjtEWr3jx4mzdutU8AWXQS2ciLZaDgwNVqlShSpUqxnWKovDvv/8aC7hTp05x8uRJbty4kei1T548Yffu3ezevdu4zs3NzVjE1a5dmzp16qTr1Li15EsIIYTIblZTtOUETk7wzz8Jy9ZGo9EYhwtp3769cf29e/c4fvy4sR07dozQ0NBEr71//z47duxgx44dxnVlypShTp06+Pv7U6dOHV599VXs7BI+ktaeLyGEECIrSdFmRjY2ULas2lFkvcKFC9O6detE18rdvn07URF3/PjxJDNCXL58mcuXL7Ny5UoAnJ2d8fPzS1TIlS3rYdafRQghhLBUUrSJbOHl5UWHDh3o0KEDYDi1GhISwtGjRzl8+DCHDh3ixIkTxMTEGF8TGRnJ77//zu+//25c5+PjQ506dahfvz7169enUqVKcreqEEKIXEmKtpREREByxYGtLTg6Ju6XktjniR7qHkfw7RJDyvu/HUuioVlsbBKfA4yMBEVJfrsaDbw4W4MpfZ8/h7i4lGN+8Wp/U/pGRYE++RkLADQuLsa7V99o3x70eqKjozlz5gxHjhzh2LFjHDlyhJCbN0kYG9qOm9fbcOs6/LxmGBpiyevqSu3atalbty61atUiOiph1gmioyGF2SIAQ37j72qNiYHUpg4xpa+jY8JnxZS+Op2hf0q0Wog/XWxK39hYQy5S4uCA8cNnSl+93rCfU2Jvj3GusZT66nTYRkUZfpb47cbFGT5r6dluWn3t7DCOwqwohv8bWdHXlP/3pvR9+f+9KX3N+R0Rv98iIiB//tT7vsiE7wiT+jo7G+KGtP/fm9I3J31HvLjP7O2t5zsiub65+TviZYpI5MmTJwqgPDHsoqStTZvEL3B2Tr4fKM8a11cIRCEQ5Vn0M+VZoeLGp5/x0uv8/BJvt0SJFLer+Pom7uvrm3LfEiUS9/XzS7mvm1vivg0bptzX2Tlx3zZtUu778sesS5dU+2758Udl5MiRSr16LVLO13/Nw9ZWqVOnjvLxxx8rV1u3Tj2Ga9cSYhgxIvW+f/+d0HfMmNT7Hj2a0HfKlNT77t2b0HfevNT7bt2a0Hfp0tT7rluX0HfdutT7Ll2a0Hfr1tT7zpuX0Hfv3tT7TpmS0Pfo0VT7xn7+eULfv/9OfbsjRiT0vXYt9b6DBiX0vXs39b4BAQl9nz1LvW+XLok/w6n1NeE7QmnYMHFfN7eU+1rAd0SchXxHKM+eJfQNCEi97927CX0HDUq9r3xHGJoFfEcoY8Yk9M3h3xFPnJwUQHny5ImSFjnSZka26OnCeuOySF779u1p3707UVHwVrmjaEJupJivWL2ew4cPc/jwYUoAg80bqhBCCGE2GkNBKOKFh4eTL18+nty+nfygvCYc1oyIfU6eWYUBeDbqGS6pHBHP6adHs+rUh6IoXL16lUOHDhEcHMzWPXu4dfs2AA4kf76/TOnS1K9fn7pNm9KwcWOKFStm/ac+Uutrwac+dDodO3fupGW7dtjHfyZy86kPKzk9atxvLVtiL6dHTe+rwndEon0mp0cTWOB3RHhoKPm8vHjy5EmakwFI0fYSY9GWjuSlJSImgjyT8gD/FW0OMjpsVtLpdPz666/4+flx7NgxgoODCQ4O5sSJE8Sm8sVcunRpGjZsSKNGjWjYsCHFixc3Y9S5W/w+a9OmjcyHaEVkv1kf2WfWw5S6Q06PCqvn7u5Op06d6NSpE2CYpeHQoUPs27eP/fv3c+TIkURTcl25coUrV66wZMkSwHCHaqNGjWjSpAlNmzbFy8tLjR9DCCGESJUUbWYUGZkwTtulS4nPSIikMpovFxcXmjVrRrNmzf7bTiSHDx82FnGHDx9ONNTI9evXE824Ub58eZo2bUrTpk1p1KgRBQoUyMofSwghhMgQKdrMSFHgv8uvUry8RCTIqnw5OzvTpEkTmjRpAsDz5885cuSIsYg7dOgQ0S9cs3HhwgUuXLjA/PnzsbGxoXr16sYirn79+jjJ9AxCCCFUIEWbGTk6wqlTCcsiddmVLycnJxo1akSjRo0AiIqK4vDhw8b5Uo8ePYr+v4ug4+LijDM7TJ48GQcHB+rWrUvTpk1p1qwZfn5+iabeEkIIIbKL/LYxI1tbqFpV7Sish7ny5ejoaCzixo0bR3h4OL///ruxiDtz5oyxb0xMDPv27WPfvn188cUX5M+fn6ZNm9KiRQtatGiBj49P9gcshBAiV5KiTYiX5M2bl3bt2tGuXTsA7t69y549e4xF3LVr14x9Hz9+zIYNG9iwYQMAZcuWNRZwjRo1yvQdyEIIIUQ8KdrMSKeDVasMyz17gtyFnTpLyZe7uzvdu3ene/fuAFy7do3du3eza9cufvvtNx4+fGjse+nSJS5dusT8+fOxs7PD39/fWMTVqFFD5k0VQgiRYTZqB5CbxMRA376Gltp4icLAUvNVsmRJ3n33XdauXcvdu3c5evQo48ePp0GDBomub4uNjeWPP/7giy++oHbt2hQuXJiuXbuybNkywsLCVPwJhBBCWCM50mZGtrbQpk3CskidNeTL1taWmjVrUrNmTT777DOePn3Kvn37CAoKIigoiH/++cfY99GjR6xfv5716w1TmVWvXp3WrVvTpk0bateuLUfhhBBCpEqKNjNydIRt29SOwnpYY75cXV0Nc6e2bw8YxoDbtWsXQUFB/Pbbbzx+/NjY9+TJk5w8eZIJEyZQoEABWrZsSevWrWnVqhXu7u4q/QRCCCEslZweFSIb+fj40K9fP9avX8+9e/cIDg5m9OjRVKtWLVG/R48esWbNGgICAihSpAg1a9bkyy+/5PDhw8bhR4QQQuRuUrQJYSZ2dnbUq1ePCRMmcPLkSW7fvs2SJUt44403yJcvX6K+x48fZ9y4cfj7++Pp6Unfvn3ZsGEDT58+VSl6IYQQapOizYzip2UqW9awLFKX0/MVX4ytW7eO+/fv8/vvvzNq1CiqVKmSqN+9e/dYtmwZXbp0wc3NjZYtWzJv3jxu3LihUuRCCCHUIEWbGSkKXL5saDKNVdpyU77s7Oz43//+x8SJEzl9+jS3bt1i8eLFdO7cGRcXF2O/mJgYgoKCeP/99/Hx8eHVV19l9OjRHDp0SE6jCiFEDic3IpiRoyMEBycsi9Tl5nx5eXnx9ttv8/bbbxMVFcX+/fv55Zdf+OWXXwgJCTH2O3PmDGfOnGHSpEkULlyYtm3b0r59e1q2bJmo2BNCCGH95EibGdnaQr16hiajO6RN8mXg6OhoPCV6/fp1/vzzT8aPH0/t2rXRaDTGfvGnUV9//XXc3Nzo2LEjS5cu5f79+ypGL4QQIqtI0SaEFdFoNLz66qt89tlnHD58mNDQUBYvXkynTp0SHVmLiopiy5YtvP322xQpUoRGjRoxa9Ysrl+/rl7wQgghMkWKNjOKjYX16w0tNlbtaCyf5CttRYoU4e2332bTpk3cv3+fX3/9lQEDBuDh4WHsExcXx/79+/nwww8pWbIk1apVY+zYsfz1118oOf1iQSGEyEGkaDOj6Gjo2tXQoqPVjsbySb5M4+joSOvWrVm4cCG3bt3i4MGDjBw5krJlyybqd/r0aQIDA6lSpQqlS5dm+PDhHDhwgLi4OJUiF0IIkR5StJmRjQ00bGhoNpL5NEm+Ms7GxgZ/f38mT57MxYsXOXv2LBMmTMDPzy9Rv2vXrjFz5kzq169P8eLFGTZsmBRwQghhoeRXoRk5OcG+fYbm5KR2NJZP8pU1NBoNvr6+jB49mmPHjhESEsK8efNo2rRpovlOb926xezZs6WAE0IICyVFmxC5jLe3N4MHD+a3337j7t27LF++nHbt2mFvb2/sIwWcEEJYHinahMjFChYsSO/evfnll1+kgBNCCAsnRZsZPX8OVasa2vPnakdj+SRf5pU/f36TCrgSJUowfPhwDh8+LHehCiGEGUjRZkZxcfDnn4YmBynSJvlST3oKuH///ZeZM2fi7++Pj48PH3/8McePH5cCTgghsokUbWbk6AhBQYaW26ZlygjJl2VIroBr27ZtogIuJCSEadOmUbNmTcqUKcOoUaM4deqUFHBCCJGFpGgzI1tbaN7c0HLztEzpJfmyPPEF3NatW7lz5w5LliyhVatW2NklTGN89epVvv76a6pXr065cuX4/PPPZSBfIYTIAlK0CSEypECBAvTt25ft27cTFhbGd999R7NmzbB5YVC9S5cuMWHCBKpUqYKvry+TJk3izp07KkYthBDWS4o2M4qNhW3bDE2mZUqb5Mt6FCpUiHfffZddu3YRGhrKggULaNy4caIJ7S9cuMCYMWMYMGAAjRo1YuHChTx48EDFqIUQwrpI0WZG0dHQrp2hybRMaZN8WSd3d3cGDhzInj17uH37NvPmzaN+/fqJ+hw8eJD33nsPT09POnXqxE8//URUVJRKEQshhHWQos2MbGzAz8/QZFqmtEm+rJ+HhweDBw/mjz/+4Pr164wbNw5vb2/j8zqdjp9//pk33ngDDw8P3n33Xfbt2ydjwAkhRDLs0u4isoqTExw7pnYU1kPylbOUKFGCTz75hEqVKlG0aFHWrl3L6tWrCQ0NBeDJkycsXryYxYsXU6xYMXr06EHv3r2pWLGiypELIYRlkOMXQgiz0mg0VK1alWnTpnHz5k127dpFQEAAefLkMfb5999/mTJlCpUqVaJmzZrMnz+fhw8fqhi1EEKoT4o2IYRqbG1tadasGcuWLePOnTusWbOGdu3aJRpC5Pjx4wwZMgRPT0+6du3Kr7/+SqzcmSKEyIWkaDOj58+hXj1Dk2mZ0ib5yl2cnZ3p1q0bv/zyC6GhocyZM4caNWoYn4+JiWH9+vW0bdsWb29vRo4cyblz51SMWAghzEuKNjOKi4ODBw1NrrNOm+Qr93Jzc+P999/n+PHj/PnnnwwfPhx3d3fj82FhYUydOpWKFStSq1YtFixYwKNHj1SMWAghsp8UbWak1cKmTYam1aodjeWTfAmAV199lenTp/Pvv/+yZcsWOnfunOj06bFjxxg0aBAeHh5069aNoKAguftUCJEjSdFmRnZ20KmTodnJfbtpknyJF9nb29O+fXs2btzI7du3mT17NtWqVTM+HxMTw7p162jZsiWlSpVi3Lhx3Lp1S8WIhRAia0nRJoSwOoULF2bo0KGcPHmS06dPM2zYMNzc3IzP37hxgy+//JLixYvTvn17tmzZIjcvCCGsnhRtZqTXw759hqbXqx2N5ZN8ifSoUqUKM2fO5NatW/z000+0atXKOH1WXFwcW7dupWPHjhQvXpzPPvuMq1evqhyxEEJkjBRtZhQVBY0bG5rM2JM2yZcwhYODA6+//jrbt2/n2rVrfPnllxQrVsz4fGhoKBMnTqR06dI0b96cdevWES3zowkhrIgUbWak0YCvr6G9MI+2SIHkS2RUiRIlGDt2LNevX2fr1q106tQJW1tb4/O//fYb3bp1o1ixYowYMYJLly6pGK0QQqSPFG1m5OwMZ88amrOz2tFYPsmXyCxbW1vatm3Lpk2buHnzJhMnTqRUqVLG5+/fv8/06dN55ZVXaNmyJZs3b5Zr34QQFkuKNiFEruDp6cmoUaO4dOkSu3fvpnv37jg4OBifDwoKonPnzpQsWZLx48cTFhamYrRCCJGUFG1CiFzFxsaGJk2a8OOPP3Lr1i0mT55MyZIljc//+++/fPHFF3h7e9OtWzf279+PoigqRiyEEAZStJnR8+fQvLmhybRMaZN8iezm5ubGyJEjuXz5Mr/++ivt2rUz3nkaGxvLunXraNSoEZUqVWLevHk8efJE5YiFELmZFG1mFBcHv/1maDJge9okX8JcbGxsaN26Nb/88gtXr15l1KhRFC5c2Pj8uXPneP/99ylatCgDBw7kzJkzKkYrhMitpGgzI60WVq40NJmWKW2SL6EGHx8fJk6cyM2bN1m9ejX169c3PhcREcGiRYt49dVXadq0KVu2bEEvgwgKIcxEijYzsrODnj0NTaZlSpvkS6hJq9Xy5ptv8scff/DXX3/x3nvvkSdPHuPze/bsoWPHjrzyyivMmjWL8PBwFaMVQuQGUrQJIUQaKleuzDfffMOtW7eYO3cuZcuWNT539epVPvzwQ4oWLcrQoUNlzDchRLaRos2M9Ho4dszQ5IxK2iRfwtLkzZuXIUOGcOHCBbZu3Urz5s2Nzz179oy5c+dSrlw52rdvz2+//SZ3nQohspQUbWYUFQW1ahmaTMuUNsmXsFQ2Nja0bduWoKAgzp49y4ABA3BycgJAURRjQVe5cmW+/fZbIiMjVY5YCJETSNFmRhoNlChhaDItU9okX8Ia+Pr6snDhQv79918mT56Mt7e38bn4gs7b25vPP/+cO3fuqBipEMLaWUXRdv36dd555x1KliyJk5MTpUuXZsyYMcTExCTqFxISQvv27XFxccHNzY2hQ4cm6aMmZ2e4ft3QZFqmtEm+hDUpWLAgI0eO5OrVq6xfvz7RXacPHz5kwoQJlChRgv79+3Px4kUVIxVCWCurKNouXLhAXFwcixYt4uzZs8ycOZOFCxcyevRoYx+9Xk/btm2JiIggODiYNWvWsGHDBj766CMVIxdC5DZ2dnZ06dKFP/74g+PHj9OrVy/s7e0BiI6O5rvvvqNChQp06tSJAwcOqBytEMKaWEXR1qpVK5YuXUqLFi0oVaoUHTp0YMSIEWzcuNHYJygoiHPnzrFy5UqqVatGs2bNmD59Ot99953cii+EUEWNGjVYsWIFV69eZcSIEbi6ugKG695+/vln6tevT926ddm0aZOM9yaESJPVjn715MkTChYsaHx86NAhKlWqhJeXl3Fdy5YtiY6O5sSJEzRu3DjZ7URHRxMdHW18HF/g6XQ6dDpdpmJ88fU6nY6n0Tp69rQFYNUqPY6Omdp8jhcVRar5is9vZveTMJ/cus+KFCnCxIkT+eSTT1i8eDFz587l1q1bgOG767XXXqNMmTIMGzaMXr16GW9qsBS5db9ZM9ln1sOUfaRRrPCe9CtXrlC9enWmT5/Ou+++C0D//v25fv06QUFBifpqtVqWLVvGm2++mey2AgMDGTt2bJL1q1evxjmTF1JF6aPofqY7AGsqrwGdC927tzM8XrMVR0f5yzo1UVG2ki+RI+l0OoKDg9m0aRMhISGJnsuXLx9t2rShdevW5M2bV6UIhRDmEhkZSY8ePXjy5Ema/+dVLdpSKphedOzYMfz8/IyPb9++TcOGDWnYsCHff/+9cX3//v25ceMGO3fuTPR6BwcHVqxYQffu3ZPdfnJH2ry9vbl//36mvzAjYiIoMK0AAI9GPMJB48KKFYbbIHv3VvjvMheRAp2OVPOl0+nYtWsXzZs3N14zJCyb7LPEFEUhKCiIGTNmsHfv3kTPOTs7079/f4YNG5boDIIaZL9ZH9ln1iM8PBw3N7d0FW2qnh4dMmRIisVUPB8fH+Py7du3ady4Mf7+/nz77beJ+nl4eHDkyJFE6x49eoROp6NIkSIpbl+r1aJNZmJLe3v7TH/Q7ZWE19vb2+PsYM/AgZnaZK5ib0+68pUV+0qYl+yzBO3ataNdu3acPHmSqVOnsn79evR6PZGRkcyaNYtvvvmGt99+m08++STR96EaZL9ZH9lnls+U/aPqjQhubm6UL18+1eb434VMt27dolGjRlSvXp2lS5diY5M4dH9/f/7++29CQ0ON64KCgtBqtdSoUcOsP5cQQpiqevXq/Pjjj1y+fJn333/f+N0XExPDwoULKVOmDH369JHhQoTIxazi7tHbt2/TqFEjvL29mTZtGvfu3SMsLIywsDBjnxYtWuDr60uvXr04deoUu3fvZsSIEfTr189irguJi4OzZw0tLk7taCyf5EvkRj4+PsyZM4fr168zcuRI4yT1er2e5cuXU6FCBbp168aff/6pcqRCCHOziqItKCiIy5cvs2fPHooVK4anp6exxbO1tWXbtm04OjpSr149unbtSqdOnZg2bZqKkSf2/DlUqmRoz5+rHY3lk3yJ3KxIkSJMnjyZGzduEBgYSIEChutjFUVh3bp1VK1alfbt23P48GGVIxVCmItVFG19+vRBUZRk24uKFy/O1q1biYyM5MGDB8ydOzfZ69XU5OZmaCJ9JF8itytYsCBjxozhxo0bTJ48GXd3d+NzW7duxd/fn2bNmrFv3z6ZoF6IHM4qiracwsUF7t0zNBcXtaOxfJIvIRK4uroycuRIrl+/zpw5cyhWrJjxud27d9O4cWMaNGjAvn371AtSCJGtpGgTQggr4uTkxPvvv8+VK1f4/vvvKV26tPG54OBgGjduTNOmTWWKLCFyICnahBDCCjk4OPDOO+9w4cIFVq1aRfny5Y3P7dmzh/r169OyZcskQyEJIayXFG1mZJiWydCiotSOxvJJvoRIm52dHT169ODvv//mhx9+oEyZMsbngoKCqFOnjnEcOCGEdZOizYz0eli92tBkbui0Sb6ESD9bW1veeustzp8/z5IlSxINxLtt2zZq1KhB586d+euvv9QLUgiRKVK0mZGDA8ycaWgODmpHY/kkX0KYzs7Ojr59+3Lx4kUWLVqEt7e38bnNmzdTpUoVunbtyrlz51SMUgiREVK0mZG9PQwbZmgyq0jaJF9CZJyDgwP9+/fn0qVLzJs3L9G4luvXr6dSpUr07NmTK1euqBilEMIUUrQJIUQOptVqGTx4MFeuXGHmzJnGcd4URWH16tWUL1+e999/n7t376ocqRAiLVK0mVFcHFy/bmgyLVPaJF9CZB0nJyeGDRvG1atXmTJlCoUKFQIgNjaWefPmUbp0acaOHcvTp09VjlQIkRIp2szo+XMoWdLQZFqmtEm+hMh6Li4ufPzxx1y9epUvv/wSl/9Grn727BmBgYGUKVOG+fPnExMTo3KkQoiXSdFmZs7OhibSR/IlRPbImzcvY8eO5fLlywwaNAg7OzsA7t69y5AhQ/D19WXt2rXEyWFuISyGFG1m5OICERGGJtMypU3yJUT28/DwYP78+Zw7d46uXbsa11+5coXu3btTq1Yt9uzZo2KEQoh4UrQJIYSgbNmyrF27lqNHj9K4cWPj+hMnTtCqVSsCAwM5deqUihEKIaRoE0IIYVSzZk12797Njh07qFKlinH96dOnqV27Nm+99RY3b95UMUIhci8p2swoOhr69TO06Gi1o7F8ki8h1KHRaGjZsiUnT55k5cqViWZXWLVqFeXKlSMwMJDIyEj1ghQiF5KizYxiY+H77w0tNlbtaCyf5EsIddnY2NCzZ0/OnDnD22+/TcGCBQF4/vw5Y8eOpVy5cqxevRpFUVSOVIjcQYo2M7K3h/HjDU1G+E+b5EsIy6DVaunQoQPnz5/ngw8+MN5p+u+//9KzZ0/q1avHsWPHVI5SiJxPijYzcnCAzz4zNJlLM22SLyEsS4ECBZg1axZnzpyhTZs2xvWHDh2iVq1aBAQEcOvWLRUjFCJnk6JNCCGEScqXL8+2bdvYvn075cuXN65fsWIFr7zyCuPHj+e5jIgtRJaTos2MFAXu3TM0uQQkbZIvISxbq1at+Ouvv5g9ezb58+cHIDIyki+++IIKFSqwbt06ud5NiCwkRZsZRUaCu7uhyU1XaZN8CWH57O3tGTp0KJcvX2bw4MHY2toCcOPGDbp160aDBg04ffq0ukEKkUNI0SaEECLTChUqxLx58/jzzz9p0aKFcX1wcDA1atRg2LBhhIeHqxihENZPijYzcnExnOZTFJmWKT0kX0JYn4oVK7Jjxw5++eUXypYtC0BcXByzZ8+mfPnyrF27Vk6ZCpFBdunpNGfOnHRvcOjQoRkORgghhPXTaDS0a9eOFi1aMH36dMaNG8fz588JDQ2le/fuLFmyhHnz5hmLOiFE+qSraJs5c2aix/fu3SMyMtJ44enjx49xdnbG3d1dijYhhBAAODg4MGrUKLp3787QoUPZunUrAEFBQVSqVIlPP/2UUaNG4ejoqHKkQliHdJ0evXbtmrFNmDCBqlWrcv78eR4+fMjDhw85f/481atXZ9y4cdkdr1WLjoZhwwxNpmVKm+RLiJyhZMmSbNmyhc2bN1O8eHEAYmJi+Oqrr6hUqRI7d+5UOUIhrIPJ17R98cUXzJ07l3LlyhnXlStXjpkzZ/L5559naXA5TWwszJ5taDItU9okX0LkHBqNho4dO3Lu3Dk++eQT46wKV65coVWrVrzxxhsyMK8QaTC5aAsNDUWn0yVZr9fruXPnTpYElVPZ28Po0YYm0zKlTfIlRM7j4uLC119/zenTp2nQoIFx/U8//UT58uWZOXMmsfJXmhDJMrloa9q0Kf369eP48ePGO4COHz/OgAEDaNasWZYHmJM4OMCECYYm0zKlTfIlRM5VsWJF9u3bx/LlyylcuDAAz549Y/jw4fj5+XH8+HGVIxTC8phctC1ZsoSiRYtSq1YtHB0d0Wq11K5dG09PT77//vvsiFEIIUQOpNFo6N27NxcuXGDAgAFoNBoA/vzzT2rXrs2nn34q02EJ8QKTi7bChQvz66+/cuHCBdatW8e6des4f/48v/76K+7u7tkRY46hKBARYWgyTFHaJF9C5A4FCxZk4cKFHDp0iKpVqwKGsd0mT55M1apVOXDggLoBCmEhMjy47iuvvEKHDh3o0KEDr7zySlbGlGNFRkKePIYm0zKlTfIlRO5Su3Ztjh49yoQJE3D475qIf/75h//973988MEHPHv2TOUIhVBXhoq2FStWULlyZZycnHBycuLVV1/lhx9+yOrYhBBC5DL29vaMHj2aU6dOUadOHQAURWHOnDlUrlyZ3bt3qxyhEOoxuWibMWMG7733Hm3atGHdunWsXbuWVq1aMXDgwCSD8IrEnJ3h2TNDc3ZWOxrLJ/kSIvfy9fUlODiYGTNm4OTkBMD169dp1qwZ/fr148mTJypHKIT5mVy0zZ07lwULFjB58mQ6dOhAx44dmTJlCt98841J013lRhqNYQ5NFxfDskid5EuI3M3W1pYPP/yQv/76i4YNGxrXf//991SsWJFt27apGJ0Q5pehcdrq1q2bZH3dunUJDQ3NkqCEEEKIeGXKlGHPnj0sWLCAPHnyAHDr1i3atWtHr169ePDggcoRCmEeJhdtZcqUYd26dUnWr127Vib/TUNMDHz2maHFxKgdjeWTfAkh4tnY2DBw4EDOnj1Ly5YtjetXrlyJr68vGzZsUDE6IcwjXRPGv2js2LF069aN33//nXr16qHRaAgODmb37t3JFnMigU4HEycalkePlgFj0yL5EkK8rHjx4mzfvp0VK1YwbNgwHj9+zN27d+nSpQsBAQHMmTOHvHnzqh2mENnC5CNtr7/+OkeOHMHNzY3NmzezceNG3NzcOHr0KJ07d86OGHMMOzv44ANDszO5XM59JF9CiORoNBoCAgI4d+4cnTp1Mq5fvny5jOsmcrQM/SqsUaMGK1euzOpYcjytFmbNUjsK6yH5EkKkxtPTk40bN/LDDz8wZMgQnj59yrVr12jQoAGjR4/myy+/xF4mLhY5SIbGadPr9WzYsIHx48czYcIENm3ahF6vz+rYhBBCiFTFT4X1559/Uq9ePcAwm8L48eOpX78+ly5dUjlCIbKOyUXb5cuX8fX1pXfv3mzcuJGffvqJt956i4oVK3LlypXsiFEIIYRIVcmSJdm3bx/jx4/H7r/rKY4ePUrVqlX57rvvUGQuPJEDmFy0DR06lFKlSnHz5k1OnjzJqVOnCAkJoWTJkgwdOjQ7YswxIiIM441pNIZlkTrJlxDCFHZ2dnz22WccPHjQOL1iZGQk/fv3p3Pnzty7d0/lCIXIHJOLtv379zNlyhQKFixoXFeoUCG+/vpr9u/fn6XBCSGEEKaqWbMmJ0+eZMCAAcZ1P//8M5UrV2b79u0qRiZE5phctGm1Wp4+fZpk/bNnz4wT/IrkOTvD3buGJtMypU3yJYTIKBcXFxYuXMjPP/+Mm5sbAHfu3KFNmza8//77PH/+XOUIhTCdyUVbu3bt6N+/P0eOHEFRFBRF4fDhwwwcOJAOHTpkR4w5hkYDhQsbmkzLlDbJlxAiszp06MCZM2do06aNcd28efOoUaMGf/75p4qRCWE6k4u2OXPmULp0afz9/XF0dMTR0ZF69epRpkwZZs+enR0xCiGEEBnm4eHB1q1bmT9/Po6OjgCcP3+eOnXqsHjxYrlJQVgNk8dpy58/Pz///DOXLl3iwoULKIqCr68vZcqUyY74cpSYGJg61bD88ccywn9aJF9CiKyi0WgYNGgQjRs3pmfPnpw6dYqoqCjeffdd/vjjD7755huc5ToMYeEyNE4bQNmyZWnfvj0dOnSQgi2ddDr4/HND0+nUjsbySb6EEFmtQoUKHDp0iEGDBhnXLV++nDp16nDx4kUVIxMibSYfadPr9Sxbtozdu3dz9+5d4uLiEj2/Z8+eLAsup7Gzg3ffTVgWqZN8CSGyg1arZf78+dSvX59+/foRERHBmTNn8PPzY/HixXTt2lXtEIVIlsm/Cj/44AOWLVtG27ZtqVSpEhq5QjzdtFr47ju1o7Aeki8hRHZ68803qVatGl26dOHs2bM8e/aMbt268ccffzBt2jS0Wq3aIQqRiMlF25o1a1i3bl2iO3GEEEIIa1S+fHmOHDnCe++9xw8//AAY7i49cuQI69evp0SJEipHKEQCk69pc3BwkGvYhBBC5BguLi4sX76cb7/91nh07dixY1SrVo1t27apHJ0QCUwu2j766CNmz54tt0hnQEQEuLgYmkzLlDbJlxDCXDQaDf369ePQoUOULl0agEePHtGuXTtGjx5NbGysyhEKkc7To6+99lqix3v27GH79u1UrFgRe3v7RM9t3Lgx66LLgSIj1Y7Auki+hBDmVK1aNU6cOEHfvn3ZtGkTAJMmTeLgwYP8+OOPeHp6qhyhyM3SVbTly5cv0ePOnTtnSzA5nZMTXLuWsCxSJ/kSQqghX758bNiwgZkzZ/LJJ58QGxvL/v37qVatGhs3bqRu3bpqhyhyqXQVbUuXLs3uOHIFGxvw8VE7Cush+RJCqEWj0TB8+HBq165Nt27duHXrFnfu3KFx48Z8++23BAQEqB2iyIUyPLiuEEIIkdPVq1ePU6dO0aRJEwBiYmLo06cPI0eORK/XqxydyG3SdaStevXq7N69mwIFClCtWrVUx2Y7efJklgWX0+h0MH++YXnwYHjpckDxEsmXEMISFC5cmB07djBs2DC++eYbAKZOncq5c+dYvXo1efPmVTlCkVukq2jr2LGj8TboTp06ZWc8OVpMDHz4oWG5Xz8pQtIi+RJCWAp7e3vmz59PxYoVGTp0KHq9nm3btuHv788vv/xCqVKl1A5R5ALpKtrGjBmT7LIwja0t9OiRsCxSJ/kSQliaQYMGUb58ebp06cKjR484d+4ctWrV4qeffqJRo0ZqhydyOKu5pq1Dhw4UL14cR0dHPD096dWrF7dv307UJyQkhPbt2+Pi4oKbmxtDhw4lJiZGpYiTcnSEVasMzdFR7Wgsn+RLCGGJmjRpwtGjRylfvjwADx48oHnz5nz77bcqRyZyunQVbQUKFKBgwYLpatmlcePGrFu3josXL7JhwwauXLlCly5djM/r9Xratm1LREQEwcHBrFmzhg0bNvDRRx9lW0xCCCFypzJlynD48GFatWoFQGxsLAMGDGDo0KEyEK/INuk6PTpr1qxsDiNtH8Zf3ASUKFGCTz/9lE6dOqHT6bC3tycoKIhz585x8+ZNvLy8AJg+fTp9+vRhwoQJcqGoEEKILJUvXz62bt3KyJEjmTFjBgBz587lwoULrF27lgIFCqgcochp0lW0Wdp4NA8fPmTVqlXUrVvXOCPDoUOHqFSpkrFgA2jZsiXR0dGcOHGCxo0bJ7ut6OhooqOjjY/Dw8MB0Ol06HS6TMX54ut1Oh2PI3WULWtI+aVLsbi4ZGrzOV5EBKnmKz6/md1Pwnxkn1kn2W+p+/rrrylfvjyDBw9Gp9Oxa9cuateuzaZNm3jllVdUiUn2mfUwZR+lq2h72ZUrV1i6dClXrlxh9uzZuLu7s2PHDry9valYsWJGNpkun3zyCfPmzSMyMpI6deqwdetW43NhYWEUKVIkUf8CBQrg4OBAWFhYitucNGkSY8eOTbI+KCgIZ2fnTMUbpY8yLu/cuRN0Lty/38742NFRxvhJTVSUbbrytWvXLnOGJbKA7DPrJPstZe7u7owdO5avv/6a8PBwLl26RO3atfn444+pWrWqanHJPrN8kSbM16hRTJz5ff/+/bRu3Zp69erx+++/c/78eUqVKsWUKVM4evQoP/30U7q3FRgYmGzB9KJjx47h5+cHwP3793n48CE3btxg7NixxkPTGo2G/v37c+PGDUNx9AIHBwdWrFhB9+7dk91+ckfavL29uX//fqZPqUbERFBgmuHw+KMRj3Cyc+H8ecNzFSoYRvwXKYuLI9V8xf9F27x58yRz4ArLJPvMOsl+S7/r16/z2muv8ffffwNgZ2fH999/T4/4W+HNRPaZ9QgPD8fNzY0nT56kWXeYfKTt008/Zfz48QwfPhxXV1fj+saNGzN79myTtjVkyJAUi6l4Pi/MY+Tm5oabmxuvvPIKFSpUwNvbm8OHD+Pv74+HhwdHjhxJ9NpHjx6h0+mSHIF7kVarNY5B9yJ7e/tMf9DtlYTX29vbo3WwR8U/uKxSevKVFftKmJfsM+sk+y1tZcuW5eDBg7z11lts2bKF2NhY+vTpw8OHDxNdm20uss8snyn7x+Si7cyZM6xevTrJ+sKFC/PgwQOTthVfhGVE/AHC+KNk/v7+TJgwgdDQUDw9PQHDKU6tVkuNGjUy9B5CCCGEqVxdXdm4cSPvv/8+CxYsAGD48OGEhYXx9ddfpzqrkBCpMfkEXf78+QkNDU2y/tSpUxQtWjRLgnrZ0aNHmTdvHqdPn+bGjRvs3buXHj16ULp0afz9/QFo0aIFvr6+9OrVi1OnTrF7925GjBhBv379LObOUZ0OvvvO0OTa0LRJvoQQ1srW1pb58+cTGBhoXDdlyhTeeecdGRJEZJjJRVuPHj345JNPCAsLQ6PREBcXx4EDBxgxYgS9e/fOjhhxcnJi48aNNG3alHLlyvH2229TqVIl9u/fbzy1aWtry7Zt23B0dKRevXp07dqVTp06MW3atGyJKSNiYqB/f0OzoDF/LZbkSwhhzTQaDWPGjGHBggXGo2tLly6lc+fOJl18LkQ8k0+PTpgwgT59+lC0aFEURcHX1xe9Xk+PHj34/PPPsyNGKleuzJ49e9LsV7x48UR3lFoaW1vo2DFhWaRO8iWEyAkGDhyIm5sbPXv2JCYmhq1bt9KiRQt++eUXGctNmMTkos3e3p5Vq1Yxbtw4Tp48SVxcHNWqVaNs2bI8f/4cJyen7IgzR3B0hM2b1Y7Ceki+hBA5RZcuXShYsCCdOnXi6dOnHDhwgP/973/s3Lkz2y4tEjmPyadHBw8eDECpUqXo0qULXbt2pWzZskRERNC6dessD1AIIYTICZo0acL+/ftxd3cH4OzZs9StW5cLFy6oHJmwFiYXbUFBQUlOg0ZERNCqVSv0ehksVgghhEhJtWrVOHDgAKVKlQIgJCSE+vXrc/ToUZUjE9YgQ0Xb0qVLmTlzJgBPnz6lefPmaDQaduzYkeUB5iSRkeDjY2hyDWraJF9CiJyoTJkyHDhwgCpVqgDw4MEDmjRpkmRweCFeZvI1bSVLlmTnzp00atQIGxsb1qxZg1arZdu2bbjIZJqpUhS4cSNhWaRO8iWEyKk8PDzYv38/HTt2ZP/+/URERNCuXTuWL19u9tkThPXI0ERKlSpVYuvWrXz22Wc4Ozuzfft2KdjSwdERjh41NEdHtaOxfJIvIUROli9fPnbs2MFrr70GQGxsLD179uSbb75ROTJhqdJ1pK1atWrJjuCs1Wq5ffs29erVM647efJk1kWXw9jaQs2aakdhPSRfQoicztHRkXXr1jFo0CC+/fZbIOGGv0GDBqkZmrBA6SraOnXqlM1hCCGEELmTra0tCxcupGDBgnz99deAoXDTaDS89957KkcnLEm6irYxY8Zkdxy5QmwsrF1rWO7WDexMvqIwd5F8CSFyC41Gw8SJEwGMhVv8kTYp3EQ8+TVoRtHR8NZbhuVOnaQISYvkSwiRm6RUuGk0GgYOHKhmaMJCpOvXYMGCBfnnn39wc3OjQIECyV7fFu/hw4dZFlxOY2MDzZolLIvUSb6EELlNfOGmKAqTJ08GDEfaNBoNAwYMUDk6obZ0FW0zZ87E1dUVgFmzZmVnPDmakxPs2qV2FNZD8iWEyI00Gg2TJk1CURSmTJkCGOYv1Wg09O/fX+XohJrSVbQFBAQku/yiiIgITpw4kTVRCSGEELmYRqPh66+/RlEUpk6dCmA80iaFW+6VZSedLl++TOPGjbNqc0IIIUSuptFomDx5Mh9//LFx3YABA4xDg4jcR64UMqPISKhY0dBkWqa0Sb6EELldfOE2YsQI47oBAwbw3XffqRiVUIvcj2dGigLnziUsi9RJvoQQwlC4TZkyBUVRmD59OmA4RarRaHj33XdVjk6YkxRtZuToCHv3JiyL1Em+hBDCQKPRGK9tiy/c+vXrh0aj4Z133lEzNGFG6S7atmzZkurz165dy3QwOZ2tLTRqpHYU1kPyJYQQCeILN0VRmDFjBpBQuL399tsqRyfMId1FW3qmskpt/DYhhBBCZI5Go2HatGkoisLMmTNRFIV3330XZ2dnunfvrnZ4Ipulu2iLi4vLzjhyhdhY2LrVsNyunYzwnxbJlxBCJKXRaIynSOMLt4CAAIoUKSKjOORw8mvQjKKjoXNnw/KzZ1KEpEXyJYQQyYsv3MLDw1m8eDExMTF06tSJ4OBgKleurHZ4IptkasiPvHnzcvXq1ayKJcezsYG6dQ1NpmVKm+RLCCFSptFoWLhwIW3atAEgPDycVq1aERISonJkIrtk6lehIuMwmMTJCQ4cMDQnJ7WjsXySLyGESJ2dnR3r1q2jZs2aANy+fZvWrVvz6NEjlSMT2UGOXwghhBBWzMXFha1bt1KmTBkAzp07x+uvv05MTIzKkYmslqmi7a233iJv3rxZFYsQQgghMsDd3Z0dO3bg7u4OQHBwMLNmzUKv16scmchKmSraFixYgJubW1bFkuM9fw41axra8+dqR2P5JF9CCJF+pUuXZtu2bbi4uABw8OBBRowYIZcy5SAm3483Z86cZNdrNBocHR0pU6YMDRo0wNbWNtPB5TRxcXD8eMKySJ3kSwghTOPn58dPP/1Eu3bt0Ov1zJ8/nxIlSiSadF5YL5OLtpkzZ3Lv3j0iIyMpUKAAiqLw+PFjnJ2dyZMnD3fv3qVUqVLs3bsXb2/v7IjZamm1CeOOabXqxmINJF9CCGG6Vq1asWjRIuO8pCNHjsTLy4uePXuqHJnILJNPj06cOJGaNWty6dIlHjx4wMOHD/nnn3+oXbs2s2fPJiQkBA8PDz788MPsiNeq2dlB27aGJmOOpU3yJYQQGdO7d+9ERVrfvn357bffVIxIZAWTi7bPP/+cmTNnUrp0aeO6MmXKMG3aNEaNGkWxYsWYMmUKBw4cyNJAhRBCCJF+Xbp0oX///gDodDpee+01Tp8+rW5QIlNMLtpCQ0OJjY1Nsj42NpawsDAAvLy8ePr0aeajy2H0eti1y9Dkhp60Sb6EECLjNBoNs2fPpmPHjgA8ffqU1q1bc/36dXUDExlmctHWuHFjBgwYwKlTp4zrTp06xXvvvUeTJk0AOHPmDCVLlsy6KHOIqCho0cLQoqLUjsbySb6EECJzbG1tWb16Nf7+/gCEhYXRqlUrHjx4oHJkIiNMLtoWL15MwYIFqVGjBlqtFq1Wi5+fHwULFmTx4sUA5MmTxziZrUhgYwNVqhiaTMuUNsmXEEJknrOzM7/88gvlypUD4OLFi3Ts2FEG37VCJl/e7eHhwa5du7hw4QL//PMPiqJQvnx544cBDEfjRFJOTiCXE6Sf5EsIIbJGoUKF2LFjB/7+/oSFhXHgwAGGDx/OvHnz1A5NmCDD9+S9WKhpNJosC0gIIYQQWc/Hx4dffvmF+vXrEx0dzfz586lVqxa9e/dWOzSRThk66bRixQoqV66Mk5MTTk5OvPrqq/zwww9ZHZsQQgghspCfnx/z5883Pn75GnVh2Uwu2mbMmMF7771HmzZtWLduHWvXrqVVq1YMHDiQmTNnZkeMOcbz59CokaHJtExpk3wJIUTWe+edd4xDgURFRfH666/z8OFDlaMS6WHy6dG5c+eyYMGCRIdTO3bsSMWKFQkMDJRBdVMRFwf79ycsi9RJvoQQInvMmTOH06dPc/ToUa5du0aPHj3Ytm2bTEFp4TI0TlvdunWTrK9bty6hoaFZElROpdXCunWGJtMypU3yJYQQ2UOr1fLTTz9RuHBhAHbu3ElgYKC6QYk0mVy0lSlThnXr1iVZv3btWsqWLZslQeVUdnbwxhuGJtMypU3yJYQQ2cfb25u1a9di89+YSuPHj2fLli0qRyVSY/KvwrFjx9KtWzd+//136tWrh0ajITg4mN27dydbzAkhhBDCMjVu3JjJkyfz8ccfA9CrVy+OHTvGK6+8onJkIjkmH2l7/fXXOXLkCG5ubmzevJmNGzfi5ubG0aNH6dy5c3bEmGPo9XDggKHJtExpk3wJIUT2++ijj3jjjTcACA8P57XXXuPZs2cqRyWSk6EhP2rUqMHKlSs5ceIEJ0+eZOXKlXh5efHVV19ldXw5SlQU1K9vaDItU9okX0IIkf00Gg1LlizB19cXgLNnz/LOO++gKIrKkYmXZdnkQGFhYYwdOzarNpcjaTRQpoyhyXjEaZN8CSGEeeTJk4eNGzfi6uoKwLp162QYLwskMzqakbMzXLpkaM7Oakdj+SRfQghhPuXKlWPFihXGxyNHjmTfvn3qBSSSkKJNCCGEEAB06tSJ0aNHA6DX6+natSv//vuvylGJeFK0CSGEEMLoq6++okWLFgDcu3ePLl26EB0drXJUAkwY8mP48OGpPn/v3r1MB5PTRUXB668bljdsAEdHdeOxdJIvIYQwP1tbW1avXo2fnx/Xr1/nyJEjfPDBByxcuFDt0HK9dBdt6ZlQtkGDBpkKJqfT6+HXXxOWReokX0IIoY5ChQqxYcMG6tWrR1RUFIsWLcLf35+AgAC1Q8vV0l207d27NzvjyBUcHGDp0oRlkTrJlxBCqKd69eosXLiQPn36APD+++/TqFEjSpQooW5guZhMDmRG9vbw32dfpIPkSwgh1BUQEMC+fftYtmwZT58+pW/fvvz222/Gqa+EeUnWhRBCCJGiWbNm4e3tDRjOus2bN0/liHIvKdrMSK+H06cNTa7RSpvkSwgh1JcvXz6Wxl+rAnzyySdcvHhRxYhyLynazCgqCqpVMzSZliltki8hhLAMTZs2ZciQIQBERUUREBBAbGysylHlPlK0mZFGA15ehibTMqVN8iWEEJZj8uTJlC1bFoAjR44wZcoUlSPKfTJUtP3xxx+89dZb+Pv7c+vWLQB++OEHgoODszS4nMbZGW7dMjSZliltki8hhLAczs7OLF++3HgTQmBgIH/++afKUeUuJhdtGzZsoGXLljg5OXHq1CnjKMlPnz5l4sSJWR6gEEIIISyDv78/I0eOBECn09G7d2+ZLcGMTC7axo8fz8KFC/nuu++wt7c3rq9bty4nT57M0uCEEEIIYVkCAwN59dVXAfjrr78YO3asyhHlHiYXbRcvXkx25oO8efPy+PHjrIgpx4qKgjfeMDS5sD5tki8hhLA8Wq2WFStWGA/cTJ48mUOHDqkcVe5gctHm6enJ5cuXk6wPDg6mVKlSWRJUTqXXw08/GZoMYZE2yZcQQlimKlWqEBgYCEBcXBwBAQFERESoG1QuYHLRNmDAAD744AOOHDmCRqPh9u3brFq1ihEjRjBo0KDsiDHHcHCAefMMTaZlSpvkSwghLNfIkSOpXbs2AJcuXWLUqFEqR5TzmVy0jRw5kk6dOtG4cWOePXtGgwYNePfddxkwYIBxDJfsFB0dTdWqVdFoNJw+fTrRcyEhIbRv3x4XFxfc3NwYOnQoMTEx2R5Tetnbw+DBhvbC5YAiBZIvIYSwXHZ2dixfvhwnJycA5s6dy+7du1WOKmfL0JAfEyZM4P79+xw9epTDhw9z7949xo0bl9WxJWvkyJF4eXklWa/X62nbti0REREEBwezZs0aNmzYwEcffWSWuIQQQojcply5cnz99dfGx3379uXJkycqRpSzZXhwXWdnZ/z8/KhVqxZ58uTJyphStH37doKCgpg2bVqS54KCgjh37hwrV66kWrVqNGvWjOnTp/Pdd98RHh5ulvjSEhcHly4ZWlyc2tFYPsmXEEJYviFDhtC4cWMAbt68ybBhw9QNKAezS0+n1157Ld0b3LhxY4aDSc2dO3fo168fmzdvxjmZkVYPHTpEpUqVEh2Fa9myJdHR0Zw4ccL4gXpZdHR0ojFm4gs8nU6HTqfLVMwvvl6n06GL1PHKK4bzfI8e6XBxydTmc7yICFLNV3x+M7ufhPnIPrNOst+sj7n32bfffkv16tV5+vQpy5Yto3379rRv394s723tTNlH6Sra8uXLl+FgsoKiKPTp04eBAwfi5+fH9evXk/QJCwujSJEiidYVKFAABwcHwsLCUtz2pEmTkh1jJigoKNni0BRR+oRxKnbu3Ak6F5ydWxofOzrKLZGpiYqyTVe+du3aZc6wRBaQfWadZL9ZH3Pus4CAAObNmwfAO++8w5w5c8ibN6/Z3t9aRUZGprtvuoq2pUuXZjiY1AQGBqY5KN+xY8c4ePAg4eHhad6ZoklmgkpFUZJdH2/UqFEMHz7c+Dg8PBxvb29atGiR6Q9bREwEnDEst2zZEhcHFxIOWrbM1LZzi9TypdPp2LVrF82bN0800LOwXLLPrJPsN+ujxj5r3bo1V69e5ddff+Xx48ds3ryZH3/8MdXfwQKTLuFKV9GWXYYMGUL37t1T7ePj48P48eM5fPgwWq020XN+fn707NmT5cuX4+HhwZEjRxI9/+jRI3Q6XZIjcC/SarVJtgtgb2+f6Q+6vZLw+qzYnkie5Nb6yD6zTrLfrI+599nixYupVKkSDx48YOPGjWzfvp2OHTua7f2tkSn7J11FW/Xq1dm9ezcFChSgWrVqqVbNpkxl5ebmhpubW5r95syZw/jx442Pb9++TcuWLVm7dq1xjBh/f38mTJhAaGgonp6egOEUp1arpUaNGumOSQghhBAZ4+Hhwfz5840HZIYPH06rVq2SPTgiTJeuoq1jx47GhHfq1Ck740lW8eLFEz2Ov1u1dOnSFCtWDIAWLVrg6+tLr169mDp1Kg8fPmTEiBH069fPYs6pR0fDgAGG5UWLQD7DqZN8CSGE9enatSuLFi1i7969XL16lZkzZ/Lpp5+qHVaOkK6irUCBAtjYGEYH6du3L8WKFTM+thS2trZs27aNQYMGUa9ePZycnOjRo0eyw4OoJTYWli83LM+fL0VIWiRfQghhfTQaDbNmzaJatWrExcUxfvx4evfunewYq8I06Srahg8fTvfu3XF0dKRkyZKEhobi7u6e3bGlyMfHB0VRkqwvXrw4W7duVSGi9LG3hylTEpZF6iRfQghhnV599VUGDBjAggULiIiIYPTo0SxbtkztsKxeuoo2Ly8vNmzYQJs2bVAUhX///ZeoqKhk+758KlMkcHCAjz9WOwrrIfkSQgjrNW7cONasWcOjR49Yvnw5gwYNolatWmqHZdXSdY7z888/Z9iwYZQqVQqNRkPNmjUpWbJkoubj40PJkiWzO14hhBBCWIFChQolGtZr6NChxMn0NpmSrqKtf//+3L9/nz///BNFUdi1axcnT55M1E6dOmXSnaO5UVwc3LplaPK5TZvkSwghrNvAgQPx9fUF4MiRI6xatUrliKxbusdpc3V1pVKlSixdupR69erJ7bsZ8Pw5/HezK8+eIdNYpUHyJYQQ1s3e3p7Zs2fTvHlzAD755BM6d+5stjnLcxqTbwENCAhAq9Vy4sQJVq5cyapVq+QImwns7AxNpI/kSwghrFuzZs2MA+yGhoYyadIklSOyXiYXbXfv3qVJkybUrFmToUOHMmTIEPz8/GjatCn37t3LjhhzDBcX0OkMTY4apU3yJYQQOcP06dNxcHAwLl+9elXliKyTyUXb+++/T3h4OGfPnuXhw4c8evSIv//+m/DwcIYOHZodMQohhBDCipUuXdo4z3d0dDQjRoxQOSLrZHLRtmPHDhYsWECFChWM63x9fZk/fz7bt2/P0uCEEEIIkTOMHj0aDw8PADZt2sTu3btVjsj6mFy0xcXFJTu5qb29vdzKm4boaBg82NCio9WOxvJJvoQQIudwdXXl66+/Nj4eNmwYsbGxKkZkfUwu2po0acIHH3zA7du3jetu3brFhx9+SNOmTbM0uJwmNha++cbQ5HOaNsmXEELkLL169TIOsPv333+zaNEilSOyLiYXbfPmzePp06f4+PhQunRpypQpQ8mSJXn69Clz587NjhhzDHt7GDPG0GRaprRJvoQQImexsbFh9uzZxsdffPEFDx48UDEi62LyYAre3t6cPHmSXbt2ceHCBRRFwdfXl2bNmmVHfDmKgwMEBqodhfWQfAkhRM5Tp04devXqxQ8//MCjR48IDAyUgz7pZFLRFhsbi6OjI6dPn6Z58+bGwfKEEEIIIdLr66+/ZuPGjURERLBgwQIGDBhApUqV1A7L4pl0etTOzo4SJUqg1+uzK54cTVHg8WNDUxS1o7F8ki8hhMiZvLy8+OyzzwDQ6/V88MEHKPJFnyaTr2n7/PPPGTVqFA8fPsyOeHK0yEgoUMDQIiPVjsbySb6EECLn+vDDDylZsiQAe/bs4eeff1Y5Istn8jVtc+bM4fLly3h5eVGiRAlcXhqqXqa0EkIIIURaHB0dmT59Oq+99hoAH330Ea1atcLR0VHlyCyXyUVbx44d0Wg02RFLjufsDDExhmWZTzNtki8hhMjZOnXqRNOmTdm9ezdXr15l5syZjBo1Su2wLJbJvwoD5Xa+DNNoZOgKU0i+hBAiZ9NoNMyaNYsqVaoQFxfHpEmTeO+998ifP7/aoVmkdF/TFhkZyeDBgylatCju7u706NGD+/fvZ2dsQgghhMjhKlWqxDvvvAPA06dPmT9/vsoRWa50F21jxoxh2bJltG3blu7du7Nr1y7ee++97Iwtx4mJgY8/NrT4034iZZIvIYTIHT799FNsbAwlyaxZs4iUu8+Sle6ibePGjSxevJhvv/2WOXPmsG3bNjZv3izDf5hAp4Np0wxNp1M7Gssn+RJCiNyhVKlSdO/eHYD79+/z/fffqxyRZUp30Xbz5k3+97//GR/XqlULOzu7RHOQitTZ28OIEYYm12qlTfIlhBC5x6effmpcnjp1KjFyiiWJdBdter0eBweHROvs7OyIlZm8083BAaZONbSXUimSIfkSQojco3LlynTo0AGAf//9l5UrV6ockeVJ992jiqLQp08ftFqtcV1UVBQDBw5MNFbbxo0bszZCIYQQQuQKo0aNYsuWLYBhqquAgABsbW1VjspypPtIW0BAAO7u7uTLl8/Y3nrrLby8vBKtEylTFMO1WTqdTMuUHpIvIYTIXerUqUPjxo0BuHTpEhs2bFA5IsuS7iNtS5cuzc44coXISMiTx7D87Bm8NJmEeInkSwghcp/Ro0ezd+9eACZNmsQbb7whg/r/x+S5R4UQQgghskvTpk2pWbMmAKdPn2bHjh0qR2Q5pGgzI2dnePTI0Jyd1Y7G8km+hBAi99FoNIwePdr4eOLEiSpGY1mkaDMjjQby5zc0OdKbNsmXEELkTh06dMDX1xeA4OBg/vjjD5UjsgxStAkhhBDCotjY2CQat02OthlI0WZGMTEQGGhoMmZg2iRfQgiRe3Xv3h0fHx8AduzYwcmTJ9UNyAJI0WZGOh2MHWtoMi1T2iRfQgiRe9nb2zNy5Ejj46+//lrFaCyDFG1mZGcHgwYZml26B1vJvSRfQgiRu/Xt25ciRYoA8NNPP3Hx4kWVI1KXFG1mpNXC/PmG9sLEEiIFki8hhMjdHB0dGT58OGCYmWny5MkqR6QuKdqEEEIIYbEGDhxI/vz5Afjhhx8ICQlRNyAVSdEmhBBCCIuVN29e3n//fQBiY2OZNm2ayhGpR4o2M4qIAHt7Q4uIUDsayyf5EkIIATB06FCc/xtl/bvvvuPu3bsqR6QOKdrMLDbW0ET6SL6EEEK4ubnRv39/AKKiopg9e7bKEalDijYzcnKCf/81NCcntaOxfJIvIYQQ8T766CPs7e0BmDdvHk+ePFE5IvOTos2MbGygaFFDs5HMp0nyJYQQIl6xYsUICAgAIDw8nG+++UbliMxPfhUKIYQQwiqMHDkSm//+ip85cyaRkZEqR2ReUrSZUUwMTJ1qaDItU9okX0IIIV5UtmxZunbtCsC9e/dYvHixyhGZlxRtZqTTwciRhibTMqVN8iWEEOJlL04kP3XqVGJy0V/1UrSZkZ0dBAQYmkzLlDbJlxBCiJdVqVKFtm3bAnDz5k1Wr16tckTmI0WbGWm1sGyZocm0TGmTfAkhhEjOqFGjjMvffvutipGYlxRtQgghhLAqdevWpVKlSgAcOnSIf/75R+WIzENOOgkh0kWv16PL5MWFOp0OOzs7oqKi0Ov1WRSZyG5Zud/s7e2xtbXNoshEbqXRaAgICODjjz8GYPny5UyYMEHlqLKfFG1mFBFhGHMM4NYtcHFRNx5LJ/myDIqiEBYWxuPHj7NkWx4eHty8eRONRpP54IRZZPV+y58/Px4eHvIZEJnSs2dPPv30U/R6PT/88APjxo0zDgeSU0nRZma5cADnTJF8qS++YHN3d8fZ2TlTv2jj4uJ49uwZefLkyfFfrjlJVu03RVGIjIw0zhvp6emZVSGKXMjT05OWLVvy66+/cvPmTfbu3UvTpk3VDitbSdFmRk5OEH/aXaZlSpvkS316vd5YsBUqVCjT24uLiyMmJgZHR0cp2qxIVu43p//+M9+9exd3d3c5VSoypU+fPvz6668ALFu2LMcXbfKtaUY2NlC2rKHJ76u0Sb7UF38Nm7Ozs8qRiJwk/vOU2WskhWjfvj358+cHYOPGjTx9+lTdgLKZ/CoUQqRJrj0SWUk+TyKrODo60r17dwAiIyP56aefVI4oe0nRZkY6Hcyfb2jyB2baJF9CCCHS0qdPH+Py8uXL1QvEDKRoM6OYGBgyxNBy0awbGSb5EkIIkZZatWpRrlw5APbv38+1a9dUjij7SNFmRra20KWLocm1t2mTfAlL9O233+Lt7Y2NjQ2zZs0iMDCQqlWrGp/v06cPnTp1ytR7+Pj4MGvWrExtI7PvqdFo2Lx5s1ljECIj4sdsi7dixQoVo8leUrSZkaMjrF9vaI6Oakdj+SRfIqP69OmDRqNBo9Fgb29PqVKlGDFiBBEREZnabnh4OEOGDOGTTz7h1q1b9O/fnxEjRrB79+4sijz7vFxcvuzYsWP079/ffAEJkYV69eplvFZy+fLlxMXFqRxR9pCiTQiRI7Vq1YrQ0FCuXr3K+PHj+eabbxgxYkSyfdN7F2NISAg6nY62bdvi6emJs7MzefLkyZLhUNRWuHBhuUtYWK1ixYrRrFkzAK5du0ZwcLDKEWUPKdqEEDmSVqvFw8MDb29vevToQc+ePY2n++KPOi1ZsoRSpUqh1WpRFIWQkBA6duxInjx5yJs3L127duXOnTuAYQyoypUrA1CqVCk0Gg3Xr19P8wiWoihMmTKFUqVK4eTkRJUqVUy+wy21uOKNHz8ed3d3XF1deffdd/n0009TjetlaZ2SnTJlCp6enpw+fdqk2IUwlxdPkebUGxJkcF0ziow0jDkGcOkSyB+1qZN8WS4/Pz/CwsIy9FpFUTI05IOHhwfHjx/P0HuCYVDXF4+oXb58mXXr1rFhwwbjAK+dOnXCxcWF/fv3Exsby6BBg+jWrRv79u2jW7dueHt706xZM44ePYq3tzeFCxdO830///xzNm7cyIIFCyhbtiy///47b731FoULF6Zhw4Zpvl5RlFTjAli1ahUTJkzgm2++oV69eqxZs4bp06dTsmTJjCXrpfcfNmwYmzZt4vfffzde8C2EpencuTOurq48ffqU9evXM2fOHFxy2PyHUrSZkaLA7dsJyyJ1ki/LFRYWxq1bt9QOI92OHj3K6tWrE42WHhMTww8//GAsvHbt2sVff/3FtWvX8Pb2BuCHH36gYsWKHDt2jJo1axpPgxYuXBgPD4803zciIoIZM2awZ88e/P39AcNRuuDgYBYtWpSuou23335LM665c+fyzjvv0LdvXwC+/PJLgoKCePbsmQlZSio2NpbevXtz/PhxduzYQdn4v6KEsEDOzs507dqVxYsX8/TpUzZt2sRbb72ldlhZSoo2M3J0hFOnEpZF6iRflis9BUtKMnOkzRRbt24lT548xMbGotPp6NixI3PnzjU+X6JEiURHys6fP4+3t7exMALw9fUlf/78nD9/npo1a5oc87lz54iKiqJ58+aJ1sfExFCtWrV0bSM9cV28eJFBgwYlel2tWrXYs2ePyTG/6MMPP0Sr1XLw4EEcHBwytS0hzCEgIIDFixcDhlOkUrSpxMfHhxs3biRa98knn/D1118bH4eEhDB48GD27NmDk5MTPXr0YNq0aRbzZWNrCyZcYpLrSb4sV0ZPU8bFxREeHk7evHmzfe7Rxo0bs2DBAuzt7fHy8sLe3j7R8y+fNkmpmMxokQkY72Dbtm0bRYsWTfScVqtN1zbSG9fLfZQsODzdvHlzfvzxR3bu3En79u0zvT0hslv9+vUpVaoUV69eZffu3dy8eTPRHzzWzqpuRPjqq68IDQ01ts8//9z4nF6vp23btkRERBAcHMyaNWvYsGEDH330kYoRCyHU4uLiQpkyZShRokSSgi05vr6+hISEcPPmTeO6c+fO8eTJEypUqJChGHx9fdFqtYSEhFCmTJlELb2/SNITV7ly5Th69Gii12Xm+r94HTp0YPXq1fTv358NGzZkentCZLcXx2xTFIUffvhB5YiyltUcaQNwdXVN8RRJUFAQ586d4+bNm3h5eQEwffp0+vTpw4QJE8ibN685Q02WTgerVhmWe/aEdPweydUkX8KcmjVrxquvvkrPnj2ZNWuW8YL/hg0b4ufnl6Fturq6MmLECD788EPi4uKoX78+4eHhHDx4kDx58iS62y0zcb3//vv069cPPz8/6taty9q1a/nrr78oVapUom09f/48yd2fefLkoUyZMim+f+fOnVm+fDkBAQG4urrStWtX0xMhhBn17t2bMWPGAIZTpKNGjcox891aVdE2efJkxo0bh7e3N2+88QYff/yx8dTnoUOHqFSpkrFgA2jZsiXR0dGcOHGCxo0bJ7vN6OhooqOjjY/Dw8MBw7hN6R27KSUvvj5+e337GiqPTp105LCbWrJcRASp5is+v5ndTyJlOp0ORVGIi4vLksEq40/ZxW8zuyiKkup7xMfx8vMbN25k6NChNGjQABsbG1q2bMmcOXOM/V78N3755W29/N5jx46lcOHCTJo0iatXr5I/f36qVavGqFGjUs3Bi9tIK64333yTK1euMGLECKKionjjjTcICAjg2LFjieL6559/klxL17BhQ+O1by/nLP7nfP3114mIiCAgIAAbGxtee+21lJOfDnFxcSiKgk6nM965K7JWbv5+LFq0KA0bNmT//v38888/HDhwgNq1a6sdVopM2UcaJSsufDCDmTNnUr16dQoUKMDRo0cZNWoUHTt25Pvvvwegf//+XL9+naCgoESv02q1LFu2jDfffDPZ7QYGBjJ27Ngk61evXp3pgSaj9FF0P9MdgDWV12Cjd2byZMPFzJ98cgwHh5w5YnNWiYmxkXypzM7OzjjWmaVcGyrSp3Pnzri7u7No0SK1Q0kiJiaGmzdvEhYWRmxsrNrhiBxo9+7dxhuPWrZsyXvvvadyRCmLjIykR48ePHnyJM2zgqoWbSkVTC86duxYsqcmNmzYQJcuXbh//z6FChWif//+3Lhxg507dybq5+DgwIoVK+jevXuy20/uSJu3tzf379/P9CnViJgICkwrAMCjEY9wcZBDa1lJp9Oxa9cumjdvnq5rloTpoqKiuHnzJj4+PjhmwS28iqLw9OlTXF1dc8zpCksQGRnJokWLaNGiBba2tqxZs4Zx48axc+dO4yjxmZHV+y0qKorr16/j7e2dJZ8rkVRu/3589uwZ3t7eREREkD9/fkJCQiz2sxYeHo6bm1u6ijZVT48OGTIkxWIqno+PT7Lr69SpAxgGyCxUqBAeHh4cOXIkUZ9Hjx6h0+koUqRIitvXarXJ3sVlb2+f6Q+6vZLw+qzYnkie5Db76PV6NBoNNjY2WXK3Z/ypt/htiqxha2vL9u3bmTBhAtHR0ZQrV44NGzbQokWLLNl+Vu83Gxsb47yw8n83e+XWHBcoUIDXX3+dFStW8PjxY7Zv326x12Oasn9ULdrc3Nxwc3PL0GtP/TeAl6enJwD+/v5MmDCB0NBQ47qgoCC0Wi01atTImoCFEMICOTk58dtvv6kdhhAWJSAggBUrVgCGaegstWgzhVX8qXvo0CFmzpzJ6dOnuXbtGuvWrWPAgAF06NCB4sWLA9CiRQt8fX3p1asXp06dYvfu3YwYMYJ+/fpZxJ2jkDAtU9myhmWROsmXEEKIjGrUqJGxRti5cyehoaEqR5R5VlG0abVa1q5dS6NGjfD19eXLL7+kX79+/Pjjj8Y+tra2bNu2DUdHR+rVq0fXrl3p1KkT06ZNUzHyxBQFLl82NOu4/UNdki8hhBAZZWNjQ+/evQHDKf5V8WNIWTGrGPKjevXqHD58OM1+xYsXZ+vWrWaIKGMcHSE4OGFZpE7yJYQQIjN69+7N+PHjAcMp0o8++siqb4KyiiNtOYWtLdSrZ2gyNFHaJF9CCCEyo2zZstSrVw+As2fPcvLkSZUjyhwp2oQQQgiRY70488jy5ctVjCTzpGgzo9hYWL/e0GQ8ybRJvoTInAsXLlCnTh0cHR2pWrVqiuuEyMm6du1qHKNt9erVxMTEqBxRxknRZkbR0dC1q6G9MJ6vSIHkS2TU06dPGTZsGCVKlMDJyYm6dety7NixRH369OmDRqNJ1OLHf4w3fPhwChYsSPHixVmzZk2i59atW0f79u2z/We5fv06Go0myZyh6TFmzBhcXFy4ePEiu3fvTnGdEDlZvnz56Ny5MwAPHjxg27ZtKkeUcVZxI0JOYWMDDRsmLIvUSb5ERr377rv8/fff/PDDD3h5ebFy5UqaNWvGuXPnKFq0qLFfq1atWLp0qfHxi1N1/fLLL6xevZqgoCAuXbpE3759ad68OYUKFeLx48d89tlnFl/0XLlyhbZt21KiRIlU1wmR0wUEBBhHnFi+fLmxiLM28qvQjJycYN8+Q3NyUjsayyf5Ehnx/PlzNmzYwJQpU2jQoAFlypQhMDCQkiVLsmDBgkR9tVotHh4exlawYEHjc+fPn6dRo0b4+fnx5ptvkjdvXq5evQrAyJEjGTRokHEMqLRs2bIFPz8/HB0dcXNzSzThukajYfPmzYn658+fn2XLlgFQsmRJAKpVq4ZGo6FRo0aAYQiDr776imLFiqHVaqlatSo7duxItN0TJ07w1VdfodFoCAwMTHadELlBs2bN8PLyAmDbtm3cu3dP5YgyRoo2IUTGRESk3KKi0t/3+fO0+5ogNjYWvV6fZJ5BJycnguPHkPnPvn37cHd355VXXqFfv37cvXvX+FyVKlU4fvw4jx494sSJEzx//pwyZcoQHBzMyZMnGTp0aLri2bZtG6+99hpt27Y1Dvyd3HzKKTl69CgAv/32G6GhoWzcuBGA2bNnM336dKZNm8Zff/1Fy5Yt6dChA5cuXQIgNDSUihUr8tFHHxEaGsqIESOSXSdEbmBra0vPnj0Bw3fEy/OUWwsp2oQQGZMnT8rt9dcT93V3hzx5sMmbl/zFimGTN29C39atE/f18Um6PRO4urri7+/PuHHjuH37Nnq9npUrV3LkyJFEI6K3bt2aVatWsWfPHqZPn86xY8do0qQJ0f9dQNmyZUveeustatasSZ8+fVi+fDkuLi689957LFq0iAULFlCuXDnq1avH2bNnU4xnwoQJdO/enbFjx1KhQgWqVKnC6NGj0/3zFC5cGMA4x3L80cBp06bxySef0L17d8qVK8fkyZOpWrUqs2bNAsDDwwM7Ozvy5MmDh4eH8d+X1wmRW7Rp08a4vGvXLhUjyTgp2szo+XOoWtXQXj64IJKSfImM+uGHH1AUhaJFi6LVapkzZw49evTA9oUB/7p160bbtm2pVKkS7du3Z/v27fzzzz+JLlIODAzk8uXLnDlzhs6dOzNx4kSaNWuGvb0948ePJzg4mHfffdc46npyTp8+TdOmTbP05wsPD+f27dvG8afi1atXj/Pnz2fpewmRU/j7++Ps7AwYijbFCqfakRsRzCguDv78M2FZpE7yZeGePUv5uZdHQ/7vtGNcXBzh4eHkzZsXm/i7S16+y+T69UyHVrp0afbv309ERATh4eF4enrSrVs34/VhyfH09KREiRLG04svu3DhAqtWreLUqVMsWbKEBg0aULhwYbp27crbb79t/Lle5pTGBZkajSbJLw+dTpeOn5IkI7srimLVo70LkZ20Wi0NGzZk+/bthIaGcu7cOSpWrKh2WCaRI21m5OgIQUGGJtMypU3yZeFcXFJuL++w1Pq+XNQk1yfDIbrg6enJo0eP2LlzJx07dkyx74MHD7h58yaenp5JnlMUhf79+zN9+nTy5MmDXq83Flbx/8al8JfFq6++mupdpoULF0502vbSpUtERkYaH8ff0arX643r8ubNi5eXV5Jr9A4ePEiFChVSfC8hcrvmzZsbl63xFKkcaTMjW1t44fMi0iD5Ehm1c+dOFEWhXLlyXL58mY8//phy5crRt29fAJ49e0ZgYCCvv/46np6eXL9+ndGjR+Pm5pbsUADfffcd7u7udOjQATCchgwMDOTw4cNs374dX19f8ufPn2wsY8aMoWnTppQuXZru3bsTGxvL9u3bGTlyJABNmjRh3rx51KlTh7i4OD755BPs7e2Nr3d3d8fJyYkdO3ZQrFgxHB0dyZcvHx9//DFjxoyhdOnSVK1alaVLl3L69OkcMSm2ENnl5aJt2LBh6gWTAXKkTQiR4zx58oTBgwdTvnx5evfuTf369QkKCjIWQ7a2tpw5c4aOHTvyyiuvEBAQwCuvvMKhQ4dwdXVNtK07d+4wceJE5syZY1xXq1YtPvroI9q2bcu6desSjfX2skaNGrF+/Xq2bNlC1apVadKkCUeOHDE+P336dLy9vWnQoAE9evRgxIgRxutuAOzs7JgzZw6LFi3Cy8vLeLRw6NChfPTRR3z00UdUrlyZHTt2sGXLFsqWLZslORQiJ6pYsSIeHh4A7N+/3+pmR9Ao1nglXjYKDw8nX758PHnyJNnrU0wRERNBnkmGu7OejXqG1saF+LuMW7YEOznOmarYWFLNl06n49dff6VNmzaJjkyIrBMVFcW1a9coWbJkkiE0MiLZa9qExcvq/ZbVnyuRlHw/pqxXr16sXLkSMBRuDRo0UDUeU+oO+dY0o+hoaNfO0GRaprRJvoQQQmQ1a76uTYo2M7KxAT8/Q5ODDGmTfAkhhMhqzZo1My5bW9EmJ+jMyMkJXpqzWqRC8iWEECKreXl5UbFiRc6ePcuxY8d49OgRBQoUUDusdJHjF0IIIYTIVeJPkcbFxbF3716Vo0k/KdqEEEIIkatY63VtUrSZ0fPnUK+eocm0TGmTfAkhhMgODRo0MN5VK0WbSFZcHBw8aGgyLVPaJF9CCCGyQ548efD39wfgypUrXLt2TeWI0keKNjPSamHTJkPTatWOxvJJvoQQQmSXF0+R/vbbbypGkn5StJmRnR106mRoMrBu2iRfQgghsos1XtcmRZsQQgghch0/Pz/jnMG7d+9Gr9erG1A6SNFmRno97NtnaFbw2VCd5EuorU+fPmg0GjQaDZs3b1Y7HIu3b98+Y746deqkdjhCpMrW1pYmTZoA8PDhQ06dOqVyRGmTos2MoqKgcWNDi4pSOxrLJ/kSmREWFsb7779PqVKl0Gq1eHt70759e3bv3m3s4+Pjw6xZs1LdTqtWrQgNDaV169bGdY8ePaJXr17ky5ePfPny0atXLx4/fpzqdhRFITAwEC8vL5ycnGjUqBFnz55N1KdRo0bGoie+de/e3eSf/cyZMzRs2BAnJyeKFi3KV199RVrTTE+YMIG6devi7OxsPPrwst27d1O3bl1cXV3x9PTkk08+ITY21vh83bp1CQ0NpWvXribHLIQarO0UqRRtZqTRgK+voWk0akdj+SRfIqOuX79OjRo12LNnD1OmTOHMmTPs2LGDxo0bM3jwYJO2pdVq8fDwQPvC3TA9evTg9OnT7Nixgx07dnD69Gl69eqV6namTJnCjBkzmDdvHseOHcPDw4PmzZvz9OnTRP369etHaGiosS1atMikeMPDw2nevDleXl4cO3aMuXPnMm3aNGbMmJHq62JiYnjjjTd47733kn3+77//pl27drRq1YpTp06xZs0atmzZwqeffmrs4+DggIeHB05OTibFLIRarK1ok8u7zcjZGV76w1qkQvJl2SIiDP86OycU1TExoNMZbhx58Y7f+L4vrtPpDP1tbcHRMWlfJ6eMzzk7aNAgNBoNR48excXFxbi+YsWKvP322xnb6H/Onz/Pjh07OHz4MLVr1wbgu+++w9/fn4sXL1KuXLkkr1EUhVmzZvHZZ5/x2muvAbB8+XKKFCnC6tWrGTBggLGvs7MzHh4eGY5v1apVREVFsWzZMrRaLZUqVeKff/5hxowZDB8+HE0KfwGNHTsWgGXLliX7/MaNG3n11Vf58ssvAShTpgyTJk3izTffZMyYMbi6umY4ZiHUUqpUKXx8fLh+/ToHDhwgMjISZ2dntcNKkRxpE0JkSJ48hnb/fsK6qVMN64YMSdzX3d2wPiQkYd38+YZ177yTuK+Pj2H9+fMZi+vhw4fs2LGDwYMHJyrY4qV06i+9Dh06RL58+YwFG0CdOnXIly8fBw8eTPY1165dIywsjBYtWhjXabVaGjZsmOQ1q1atws3NjYoVKzJixIgkR+LSE1/Dhg0THRls2bIlt2/f5vr16yZt60UxMTE4vlhdA05OTkRFRXHixIkMb1cINWk0GuPRtpiYGH7//XeVI0qdFG1CiBzl8uXLKIpC+fLls2X7YWFhuLu7J1nv7u5OWFhYiq8BKFKkSKL1RYoUSfSanj178uOPP7Jv3z6++OILNmzYYDwyZ0p8yb3Pi3FkRJMmTTh48CA//vgjer2eW7duMX78eABCQ0MzvF0h1GZN47XJ6VEzev4cOnQwLG/ZYjj9I1Im+bJsz54Z/n3xTMLHH8OwYUnH1bt71/CvVpvwusGDoV8/w+nRF8UfDMro/o6/4D6l04BZIbltK4qS5nu+/PzLr+nXr59xuVKlSpQtWxY/Pz9OnjxJ9erVMxxfVuSkSZMmTJkyhYEDB9KrVy+0Wi1ffPEFwcHB2L68E4WwIk2aNEGj0aAoisVf1yZH2swoLg5++83QZFqmtEm+LJuLi6G9WAc4OBjWvTyDRXzfF69Rs7c3rHvpjFuyfU1RtmxZNBoN5zN6fjUNHh4e3LlzJ8n6e/fuJTnC9eJrIOmRrrt376b4GoDq1atjb2/PpUuXTIovufeBpEf6TPXhhx/y+PFjQkJCuH//Ph07dgSgZMmSmdquEGoqVKgQNWrUAOCvv/5K9v+3pZCizYy0Wli50tBkWqa0Sb5ERhQsWJCWLVsyf/58IuLvanhBWkNzpMXf358nT55w9OhR47ojR47w5MkT6tatm+xrSpYsiYeHR6K/4mNiYti/f3+KrwE4e/YsOp0OT09Pk+L7/fffiYmJMa4LCgrCy8sLHx+fdG8nJRqNxjhsyY8//oi3t7dJRwGFsETWcopUijYzsrODnj0NTaZlSpvkS2TUN998g16vp1atWmzYsIFLly5x/vx55syZY5wkOqMqVKhAq1at6NevH4cPH+bw4cP069ePdu3aJbpztHz58mzatAkwFDrDhg1j4sSJbNq0ib///ps+ffrg7OxMjx49AMOk1V999RXHjx/n+vXr/Prrr7zxxhtUq1aNevXqpTu+Hj16oNVq6dOnD3///TebNm1i4sSJie4cPXr0KOXLl+fWrVvG14WEhHD69GlCQkLQ6/WcPn2a06dP8yz+fDYwbdo0zpw5w9mzZxk3bhxff/01c+bMkdOjwupZy9Af8qtQCJHjlCxZkpMnTzJhwgQ++ugjQkNDKVy4MDVq1GDBggWZ3v6qVasYOnSo8W7QDh06MG/evER9Ll68yJMnT4yPR44cyfPnzxk0aBCPHj2idu3aBAUFGYfKcHBwYPfu3cyePZtnz57h7e1N27ZtGTNmTKKiqFGjRvj4+KQ4NEe+fPnYtWsXgwcPxs/PjwIFCjB8+HCGDx9u7BMZGcnFixfR6XTGdV9++SXLly83Pq5WrRoAe/fupUGDBgDs2LGDiRMnEh0dTZUqVfj5558TDToshLWqW7cuTk5OPH/+nF27dqXrGlU1SNFmRno9nDxpWK5ePekF2CIxyZfIDE9PT+bNm5ekmHpRRofAKFiwICtXrky1z8szEGg0GgIDAwkMDEy2v7e3N/v370/zva9fv06fPn1S7VO5cuVUhy5o1KhRkviWLVuWYiEY999Fpb/99hs2Gb3YUAgLptVqadCgATt37uT27ducP38eX19ftcNKQv73mVFUFNSqZWgyLVPaJF/CEmzdupU8efKwdetWtUPhwoULuLq60rt3b7VDSdYff/xBnjx5WLVqldqhCGEyazhFKkfazEijgRIlEpZF6iRfQm1Tpkzh888/BzDpZoDsUr58ec6cOaN2GCny8/Pj9OnTAOTJk0fdYIQw0cs3I3zwwQcqRpM8KdrMyNk5YQwqkTbJl1Cbu7t7sgPpiuQ5OTlRpkwZtcMQIkMqV65MkSJFuHPnDvv27UOn02Fvb692WInI6VEhhBBC5HoajYZmzZoB8OzZMw4fPqxyRElJ0SaEEEIIgeVf1yZFmxlFRUGnToYmF9anTfIlhBDCnOKPtIFlFm1yTZsZ6fXw888JyyJ1ki8hhBDmVLRoUSpUqMD58+c5evQojx8/Jn/+/GqHZSRFmxk5OMC33yYsi9RJvoQQQphb8+bNOX/+PHFxcezdu5fOnTurHZKRnB41I3t76NfP0CzshhSLJPkSWeHatWt89dVXREZGqh2KEMIKWPJ1bVK0CSFyLEVR6Nu3L4cPH2bUqFFqhyOEsAINGzbE7r8Jr6Voy8Xi4uDsWUP7b1YYkQrJl8isuXPnUq1aNbZu3cq5c+f4448/MrytR48e0atXL/Lly0e+fPno1asXjx8/TvU1iqIQGBiIl5cXTk5ONGrUiLNnz6bYt3Xr1mg0GjZv3pzouQkTJlC3bl2cnZ0t6voaIXIiV1dX/P39Abh8+XKGp7vLDlK0mdHz51CpkqE9f652NJZP8iUya+jQocycORMbGxt27drF//73vwxvq0ePHpw+fZodO3awY8cOTp8+Ta9evVJ9zZQpU5gxYwbz5s3j2LFjeHh40Lx5c54+fZqk76xZs1KcoDomJoY33niD9957L8PxCyHS7+XZESyF3IhgZm5uakdgXSRflkdRFCJ1Gbs+LC4ujghdBLYxtiZPPO5s75xiUZOcRo0aUalSJQBWrlyJra0t7733HuPGjTNpOwDnz59nx44dHD58mNq1awPw3Xff4e/vz8WLFylXrlyS1yiKwqxZs/jss8947bXXAFi+fDlFihRh9erVDBgwwNj3zz//ZMaMGRw7dizZ6bLGjh0LkOKE7kKIrNW8eXO+/PJLwHCK9N1331U5IgMp2szIxQXu3VM7Cush+bJMkbpI8kwy/7ySz0Y9w8XBxaTXLF++nHfeeYcjR45w/Phx+vfvT4kSJejXrx8DBw5k5cqVqb7+3LlzFC9enEOHDpEvXz5jwQZQp04d8uXLx8GDB5Mt2q5du0ZYWBgtWrQwrtNqtTRs2JCDBw8ai7bIyEjefPNN5s2bh4eHh0k/nxAie/j5+ZEvXz6ePHnC7t27iYuLM/kPzewgRZsQIsfy9vZm5syZaDQaypUrx5kzZ5g5cyb9+vXjq6++YsSIEam+3svLC4CwsLBk5yB1d3cnLCws2dfGry9SpEii9UWKFOHGjRvGxx9++CF169alY8eOJv1sQojsY2dnR+PGjdm8eTMPHjzg1KlT1KhRQ+2wpGgTQpjG2d6ZZ6OeZei1cXFxhD8NJ69r3gydHjVVnTp1Ep0K9ff3Z/r06ej1epMng0/ulKqiKGmean35+Rdfs2XLFvbs2cOpU6fSHYcQwjyaN29uvClo165dFlG0qX+sLxeJioKePQ1NpmVKm+TLMmk0GlwcXDLe7DP2OlOvQ0vLwIEDyZMnT6otJCQEAA8PD+7cuZNkG/fu3UtyJC1e/KnOl4/E3b171/iaPXv2cOXKFfLnz4+dnZ1xmIHXX3+dRo0aZdWPKoTIAEscr02OtJmRXg+rVxuW40f6FymTfInMOnz4cJLHZcuWxdbW1qTTo/7+/jx58oSjR49Sq1YtAI4cOcKTJ0+oW7dusq8tWbIkHh4e7Nq1i2rVqgGGu0D379/P5MmTAfj000+TXOBcuXJlZs6cSfv27U3/gYUQWaZMmTKUKFGCGzduEBwcTGRkJM7Oph/xz0pStJmRgwPMnJmwLFIn+RKZdfPmTYYPH86AAQM4efIkc+fOZfr06QAmnR6tUKECrVq1ol+/fixatAiA/v37065du0Q3IZQvX55JkybRuXNnNBoNw4YNY+LEiZQtW5ayZcsyceJEnJ2d6dGjB2A4GpfczQfFixenZMmSxschISE8fPiQkJAQ9Ho9p0+fBgy/VPLkMf9NIULkBhqNhq5du3Ljxg2aN2+OoihqhyRFmznZ28OwYWpHYT0kXyKzevfuzfPnz6lVqxa2tra8//779O/fP0PbWrVqFUOHDjXeDdqhQwfmzZuXqM/Fixd58uSJ8fHIkSN5/vw5gwYN4tGjR9SuXZugoCBcXV1Neu8vv/yS5cuXGx/HH7nbu3evnEYVIhtNmTJF7RASkaJNCJFj2dvbM2vWLBYsWJDpbRUsWDDNIUJe/ktco9EQGBhIYGBgut8nub/mly1bJmO0CSGkaDOnuDj477pmihcHCxjyxaJJvoQQQogEUrSZ0fPnEH+ZyrNnhsFjRcokX0IIIUQCKdrMTOUbT6yO5Etk1L59+9QOQQghspQUbWbk4gIREWpHYT0kX0IIIUQCq7pKaNu2bdSuXRsnJyfc3NyMkzDHCwkJoX379ri4uODm5sbQoUOJiYlRKVohcg5LuNVd5BzyeRIiY6zmSNuGDRvo168fEydOpEmTJiiKwpkzZ4zP6/V62rZtS+HChQkODubBgwcEBASgKApz585VMXIhrJe9vT1gmNTcyclJ5WhEThEZGQkkfL6EEOljFUVbbGwsH3zwAVOnTuWdd94xrn9xUMugoCDOnTvHzZs3jaOYT58+nT59+jBhwgTy5s1r9rhfFh0NQ4YYlufNA61W3XgsneRLfba2tuTPn5+7d+8C4OzsnKnppOLi4oiJiSEqKsrkuUeFerJqvymKQmRkJHfv3iV//vzY2tpmYZRC5HxWUbSdPHmSW7duYWNjQ7Vq1QgLC6Nq1apMmzaNihUrAnDo0CEqVapkLNgAWrZsSXR0NCdOnKBx48bJbjs6Opro6Gjj4/DwcAB0Oh06nS5Tcb/4+vjtff+94S/LqVN1MoRFGp4/J9V8xec3s/tJpK5QoULo9fpk5940laIoREVF4ejomOVziYrsk9X7LW/evBQqVEj+72Yj+X60HqbsI6so2q5evQpAYGAgM2bMwMfHh+nTp9OwYUP++ecfChYsSFhYWJKJmwsUKICDg0OSCZtfNGnSJMaOHZtkfVBQUKbnGIvSJ8xyvnPnTmzjnOjZsywAv/12CXt7ua4jNTqdJl35spSJfHM6jUYjR0ZEpun1ermmzYzk+9HyxV8ukB6qFm2BgYHJFkwvOnbsGHFxcQB89tlnvP766wAsXbqUYsWKsX79egYMGACQ7F+AiqKk+pfhqFGjGD58uPFxeHg43t7etGjRItOnVCNiIuC/y+5atmyJi4MLHTvGP1smU9vOLVLLl06nY9euXTRv3lyujbESss+sk+w36yP7zHrEn+FLD1WLtiFDhtC9e/dU+/j4+PD06VMAfH19jeu1Wi2lSpUi5L8h8z08PDhy5Eii1z569AidTpfkCNyLtFot2mQulrK3t8/0B91eSXh9VmxPJE9ya31kn1kn2W/WR/aZ5TNl/6hatLm5ueHm5pZmvxo1aqDVarl48SL169cHDH9FXL9+nRIlSgDg7+/PhAkTCA0NxdPTEzCc4tRqtdSoUSP7fggTKArcv29YdnMDuaQndZIvIYQQIoFVXNOWN29eBg4cyJgxY/D29qZEiRJMnToVgDfeeAOAFi1a4OvrS69evZg6dSoPHz5kxIgR9OvXzyLuHAWIjAR3d8OyTMuUNsmXEEIIkcAqijaAqVOnYmdnR69evXj+/Dm1a9dmz549FChQADAMTbBt2zYGDRpEvXr1cHJyokePHkybNs2k94m/QNaUc8wpiYiJgP/uRQgPDwed3vhceDjo9Sm8UACJZ0NILl86nY7IyEjCw8Pl8L+VkH1mnWS/WR/ZZ9Yjvt5Izw06GkVu40nk33//xdvbW+0whBBCCJGL3Lx5k2LFiqXaR4q2l8TFxXH79m1cXV1lHCkLF3+n782bNy3mFLhInewz6yT7zfrIPrMeiqLw9OlTvLy80hy82mpOj5qLjY1NmpWusCx58+aVLyUrI/vMOsl+sz6yz6xDvnz50tVPxuQXQgghhLACUrQJIYQQQlgBKdqE1dJqtYwZMybZwZGFZZJ9Zp1kv1kf2Wc5k9yIIIQQQghhBeRImxBCCCGEFZCiTQghhBDCCkjRJoQQQghhBaRoE0IIIYSwAlK0CYv1zTffULJkSRwdHalRowZ//PFHin03btxI8+bNKVy4MHnz5sXf35+dO3eaMVoRz5T99qIDBw5gZ2dH1apVszdAkSxT91t0dDSfffYZJUqUQKvVUrp0aZYsWWKmaAWYvs9WrVpFlSpVcHZ2xtPTk759+/LgwQMzRSuyghRtwiKtXbuWYcOG8dlnn3Hq1Cn+97//0bp1a0JCQpLt//vvv9O8eXN+/fVXTpw4QePGjWnfvj2nTp0yc+S5m6n7Ld6TJ0/o3bs3TZs2NVOk4kUZ2W9du3Zl9+7dLF68mIsXL/Ljjz9Svnx5M0adu5m6z4KDg+nduzfvvPMOZ8+eZf369Rw7dox3333XzJGLTFGEsEC1atVSBg4cmGhd+fLllU8//TTd2/D19VXGjh2b1aGJVGR0v3Xr1k35/PPPlTFjxihVqlTJxghFckzdb9u3b1fy5cunPHjwwBzhiWSYus+mTp2qlCpVKtG6OXPmKMWKFcu2GEXWkyNtwuLExMRw4sQJWrRokWh9ixYtOHjwYLq2ERcXx9OnTylYsGB2hCiSkdH9tnTpUq5cucKYMWOyO0SRjIzsty1btuDn58eUKVMoWrQor7zyCiNGjOD58+fmCDnXy8g+q1u3Lv/++y+//voriqJw584dfvrpJ9q2bWuOkEUWkQnjhcW5f/8+er2eIkWKJFpfpEgRwsLC0rWN6dOnExERQdeuXbMjRJGMjOy3S5cu8emnn/LHH39gZydfR2rIyH67evUqwcHBODo6smnTJu7fv8+gQYN4+PChXNdmBhnZZ3Xr1mXVqlV069aNqKgoYmNj6dChA3PnzjVHyCKLyJE2YbE0Gk2ix4qiJFmXnB9//JHAwEDWrl2Lu7t7doUnUpDe/abX6+nRowdjx47llVdeMVd4IgWm/H+Li4tDo9GwatUqatWqRZs2bZgxYwbLli2To21mZMo+O3fuHEOHDuXLL7/kxIkT7Nixg2vXrjFw4EBzhCqyiPxpKyyOm5sbtra2Sf5ivHv3bpK/LF+2du1a3nnnHdavX0+z/7d3NyFRdXEcx38zdxRsQgNDmByooEF6IaIXs0ScYggiIaKiRaUtogwKQgjcG7SKQrE2zUQUk4ta1CbSRYrRC0QOhBMWgaBZSUVgaZvmPIt67uM4ac+Y43id7wfOYs69B/6Hw+Bv7rn3GgplskxMkO66jYyM6NmzZ+rp6dHJkycl/QwDxhh5PB61t7dr+/bts1J7LpvO983n86m0tFRFRUV238qVK2WM0eDgoAKBQEZrznXTWbNz586psrJSZ86ckSStXbtWXq9XVVVVOnv2rHw+X8brxt/jShvmnPz8fG3YsEEdHR1J/R0dHdq6deuk427evKkjR44oGo1yn0YWpLtuhYWFevHihWKxmN3q6+tVVlamWCymzZs3z1bpOW0637fKykoNDQ3p69evdt+rV6/kdrvl9/szWi+mt2ajo6Nyu5P/5FuWJennFTo4RPaegQAm19bWZvLy8kw4HDbxeNycPn3aeL1e09/fb4wxprGx0Rw+fNg+PxqNGo/HY1pbW827d+/s9uXLl2xNISelu24T8fRodqS7biMjI8bv95t9+/aZ3t5e09XVZQKBgDl69Gi2ppBz0l2zq1evGo/HYy5dumTevHljHj58aDZu3GjKy8uzNQVMA6ENc1Zra6tZunSpyc/PN+vXrzddXV32sbq6OlNdXW1/rq6uNpJSWl1d3ewXnuPSWbeJCG3Zk+66vXz50oRCIVNQUGD8fr9paGgwo6Ojs1x1bkt3zZqbm82qVatMQUGB8fl85uDBg2ZwcHCWq8bfcBnDdVEAAIC5jnvaAAAAHIDQBgAA4ACENgAAAAcgtAEAADgAoQ0AAMABCG0AAAAOQGgDAABwAEIbAACAAxDaAAAAHIDQBgAzKBqNyrIs1dfXpxzr7OyUy+X6bXv//n0WqgXgJPwbKwCYQaFQSJs2bdLly5c1NDSkBQsW2Mc6Ozu1bds29fX1qbCwMGlcSUmJ3G5+RwOYnCfbBQDAXBEMBrVmzRpJ0o0bN2RZlk6cOKGmpia5XK4/ju/v79ejR490+/ZtPXjwQLdu3VJtbW3KeSUlJVq0aNFMlw9gnuNnHQCMc+3aNXk8Hj19+lTNzc26cOGCrly58r/GRiIR7dq1S0VFRTp06JDC4XCGqwWQS9geBYBfgsGghoeH1dvba19Za2xs1N27dxWPx6ccm0gktGzZMrW0tGj37t36+PGjlixZong8rhUrVkj6b3vU6/UmjS0tLVVfX19mJgVg3uBKGwCMU1FRkbQVumXLFr1+/Vo/fvyYclx7e7u+ffumnTt3SpIWL16sHTt2KBKJpJzb3d2tWCxmt/v378/sJADMS9zTBgAzIBKJ6PPnz0kPHiQSCfX09KipqUmWZdn9y5cv5542AGkjtAHAOE+ePEn5HAgEkkLXRJ8+fdKdO3fU1tam1atX2/2JREJVVVW6d++eampqMlYzgNxAaAOAcQYGBtTQ0KDjx4/r+fPnamlp0fnz56ccc/36dRUXF2v//v0pr+2oqalROBxOCm3Dw8P6/v170nnFxcXKy8ubuYkAmHcIbQAwTm1trcbGxlReXi7LsnTq1CkdO3ZsyjGRSER79uz57XvW9u7dqwMHDujDhw92X1lZWcp5jx8/VkVFxd9PAMC8xdOjAPBLMBjUunXrdPHixWyXAgApeHoUAADAAQhtAPAH3d3dWrhw4aQNAGYD26MA8AdjY2N6+/btpMf/fXkuAGQSoQ0AAMAB2B4FAABwAEIbAACAAxDaAAAAHIDQBgAA4ACENgAAAAcgtAEAADgAoQ0AAMAB/gEdudpVjgKQ2AAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize, stats\n", "\n", "# ----- تابع‌های لازم (مثل قبل) -----\n", "def logpdf_ae(x, a, b, sc):\n", " return stats.betaprime.logpdf(x, a=a, b=b, scale=sc)\n", "\n", "def logpdf_nc(x, mu, sig):\n", " return stats.lognorm.logpdf(x, s=sig, scale=np.exp(mu))\n", "\n", "def neg_conditional_ll(theta, X, y, eps=1e-12):\n", " p, a, b, sc, mu, sig = theta\n", " if not (0 < p < 1):\n", " return np.inf\n", " logf1 = logpdf_ae(X, a, b, sc)\n", " logf0 = logpdf_nc(X, mu, sig)\n", " logit = np.log(p) - np.log(1-p) + (logf1 - logf0)\n", " p_x = 1.0 / (1.0 + np.exp(-np.clip(logit, -50, 50)))\n", " return -np.sum(y*np.log(p_x+eps) + (1-y)*np.log(1-p_x+eps))\n", "\n", "# MAP prior روی p_AE (مثل قبل)\n", "def make_neg_posterior(TAU, m_emp):\n", " alpha = max(m_emp*TAU, 1e-8)\n", " beta = max((1-m_emp)*TAU, 1e-8)\n", " def neg_post(theta, X, y):\n", " p = theta[0]\n", " nll = neg_conditional_ll(theta, X, y)\n", " penalty = -((alpha-1)*np.log(p+1e-12) + (beta-1)*np.log(1-p+1e-12))\n", " return nll + penalty\n", " return neg_post\n", "\n", "# ----- آماده‌سازی -----\n", "USE_MAP = True\n", "TAU = 20.0\n", "HEAVY_TAIL = True\n", "b_upper = 1.0 if HEAVY_TAIL else 50.0\n", "bounds = [\n", " (1e-3, 1-1e-3),\n", " (0.3, 20.0),\n", " (0.2, b_upper),\n", " (0.01, 5.0),\n", " (np.log(X).min()-1.5, np.log(X).max()+1.5),\n", " (0.05, 1.50),\n", "]\n", "\n", "p0 = np.clip(m_emp, bounds[0][0], bounds[0][1])\n", "X0 = X[y==0]; mu0 = float(np.mean(np.log(X0))); sig0 = float(np.std(np.log(X0), ddof=0))\n", "X1 = X[y==1]; m1 = float(np.mean(X1))\n", "a0, b0 = 3.0, min(0.8, b_upper)\n", "sc0 = np.clip(m1 * (b0 - 1 + 1e-6)/max(a0,1e-6), bounds[3][0], bounds[3][1])\n", "theta0 = np.array([p0, a0, b0, sc0, mu0, max(sig0, 0.08)], dtype=float)\n", "\n", "obj = make_neg_posterior(TAU, m_emp) if USE_MAP else neg_conditional_ll\n", "\n", "res = optimize.minimize(fun=obj, x0=theta0, args=(X,y),\n", " method=\"L-BFGS-B\", bounds=bounds,\n", " options=dict(maxiter=4000, ftol=1e-12))\n", "theta_hat = res.x\n", "ll_max = -obj(theta_hat, X, y)\n", "print(\"Best p_AE =\", theta_hat[0], \" LogLik =\", ll_max)\n", "\n", "# ----- Profile Likelihood برای p_AE -----\n", "p_vals = np.linspace(0.05, 0.95, 40) # شبکه روی p_AE\n", "ll_profile = []\n", "\n", "for p_fix in p_vals:\n", " # بقیه پارامترها آزاد\n", " def obj_profile(theta_rest, X, y, p_fixed):\n", " theta = np.concatenate([[p_fixed], theta_rest])\n", " return obj(theta, X, y)\n", " theta_rest0 = theta_hat[1:]\n", " bounds_rest = bounds[1:]\n", " res_p = optimize.minimize(fun=obj_profile, x0=theta_rest0, args=(X,y,p_fix),\n", " method=\"L-BFGS-B\", bounds=bounds_rest,\n", " options=dict(maxiter=2000))\n", " ll_profile.append(-res_p.fun)\n", "\n", "ll_profile = np.array(ll_profile)\n", "ll_diff = ll_max - ll_profile\n", "\n", "# آستانه 95% (chi2 with df=1)\n", "crit = 0.5 * 3.84 # =1.92\n", "inside = p_vals[ll_diff <= crit]\n", "\n", "ci_lo, ci_hi = inside[0], inside[-1]\n", "print(f\"Profile Likelihood 95% CI for p_AE ≈ ({ci_lo:.3f}, {ci_hi:.3f})\")\n", "\n", "# ----- رسم نمودار -----\n", "plt.figure(figsize=(7,5))\n", "plt.plot(p_vals, ll_profile, 'k-', lw=2, label=\"Profile logLik\")\n", "plt.axhline(ll_max - crit, color='r', ls='--', label=\"95% cutoff\")\n", "plt.axvline(ci_lo, color='b', ls=':', label=f\"CI [{ci_lo:.2f}, {ci_hi:.2f}]\")\n", "plt.axvline(ci_hi, color='b', ls=':')\n", "plt.axvline(theta_hat[0], color='g', ls='-', label=f\"p̂={theta_hat[0]:.3f}\")\n", "plt.xlabel(\"p_AE\")\n", "plt.ylabel(\"Profile Log-Likelihood\")\n", "plt.title(\"Profile Likelihood CI for p_AE\")\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 31, "id": "bacda364", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot_asymptotic_samples.py\n", "# AE ~ BetaPrime(a,b,scale=s)\n", "# NC ~ Gamma(k,theta) OR LogNormal(mu,sigma)\n", "# Plots the essential decision function dE(x) for your requested parameter sets.\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# ---------- essential decision functions ----------\n", "def dE_gamma(x, a, b, k, theta, s=1.0):\n", " # dE_ess(x) = (a - k) * log(x) - (a + b) * log(1 + x/s) + x/theta\n", " x = np.asarray(x, float)\n", " return (a - k) * np.log(x) - (a + b) * np.log1p(x / s) + x / theta\n", "\n", "def dE_lognorm(x, a, b, mu, sigma, s=1.0):\n", " # dE_ess(x) = (mu - log x)^2 / (2 sigma^2) + a log x - (a + b) log(1 + x/s)\n", " x = np.asarray(x, float)\n", " return ((mu - np.log(x)) ** 2) / (2.0 * sigma**2) + a * np.log(x) - (a + b) * np.log1p(x / s)\n", "\n", "# ---------- x-grid over many decades ----------\n", "x = np.logspace(-12, 3, 900)\n", "\n", "# ---------- your parameter sets ----------\n", "# Gamma NC (meets)\n", "gamma_meet = [\n", " dict(a=6.0, b=3.0, k=4.0, theta=0.8, s=1.0),\n", " dict(a=5.0, b=1.0, k=2.0, theta=0.5, s=1.0),\n", " dict(a=7.0, b=2.0, k=3.0, theta=0.6, s=0.5),\n", "]\n", "# Gamma NC (edge / fail)\n", "gamma_edge_fail = [\n", " dict(a=3.0, b=2.0, k=3.0, theta=0.7, s=1.0), # edge (a=k)\n", " dict(a=2.0, b=3.0, k=5.0, theta=0.5, s=1.0), # fail (a" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot_posterior_like_curves.py\n", "# AE ~ BetaPrime(a,b,scale=s)\n", "# NC ~ Gamma(k,theta) OR LogNormal(mu,sigma)\n", "# Plots P(AE|x) ≈ logistic( logit(p_prior) + dE_ess(x) ) for your parameter sets.\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# ---------- helpers ----------\n", "def logistic(z):\n", " z = np.clip(z, -60, 60)\n", " return 1.0 / (1.0 + np.exp(-z))\n", "\n", "def logit(p):\n", " p = np.clip(p, 1e-12, 1-1e-12)\n", " return np.log(p) - np.log(1-p)\n", "\n", "# ---------- essential decision functions ----------\n", "# AE ~ BetaPrime(a,b,s), NC ~ Gamma(k,theta)\n", "def dE_gamma(x, a, b, k, theta, s=1.0):\n", " # dE_ess(x) = (a - k)*log x - (a + b)*log(1 + x/s) + x/theta\n", " x = np.asarray(x, float)\n", " return (a - k)*np.log(x) - (a + b)*np.log1p(x/s) + x/theta\n", "\n", "# AE ~ BetaPrime(a,b,s), NC ~ LogNormal(mu,sigma)\n", "def dE_lognorm(x, a, b, mu, sigma, s=1.0):\n", " # dE_ess(x) = (mu - log x)^2/(2 sigma^2) + a*log x - (a + b)*log(1 + x/s)\n", " x = np.asarray(x, float)\n", " return ((mu - np.log(x))**2) / (2.0 * sigma**2) + a*np.log(x) - (a + b)*np.log1p(x/s)\n", "\n", "# ---------- x-grid ----------\n", "x = np.logspace(-12, 3, 900)\n", "\n", "# ---------- prior (use your empirical 5/58 if you like) ----------\n", "p_prior = 5/58 # ≈ 0.086207\n", "c0 = logit(p_prior) # constant shift; you can tweak (add a small extra) if you want to recenter\n", "\n", "# ---------- your parameter sets ----------\n", "# Gamma NC (meets)\n", "gamma_meet = [\n", " dict(a=6.0, b=3.0, k=4.0, theta=0.8, s=1.0),\n", " dict(a=5.0, b=1.0, k=2.0, theta=0.5, s=1.0),\n", " dict(a=7.0, b=2.0, k=3.0, theta=0.6, s=0.5),\n", "]\n", "# Gamma NC (edge / fail)\n", "gamma_edge_fail = [\n", " dict(a=3.0, b=2.0, k=3.0, theta=0.7, s=1.0), # edge (left finite)\n", " dict(a=2.0, b=3.0, k=5.0, theta=0.5, s=1.0), # fail (left -> +inf)\n", "]\n", "# LogNormal NC (fails on the left)\n", "lognorm_fail = [\n", " dict(a=5.0, b=1.0, mu=-2.0, sigma=0.6, s=1.0),\n", " dict(a=50.0, b=1.0, mu=-2.25, sigma=0.78, s=1.0),\n", " dict(a=2.0, b=4.0, mu= 0.0, sigma=1.2, s=1.0),\n", "]\n", "\n", "# ---------- plot: Gamma NC -> P(AE|x) ----------\n", "plt.figure(figsize=(10, 6))\n", "for P in gamma_meet:\n", " dE = dE_gamma(x, **P)\n", " p = logistic(c0 + dE)\n", " lbl = f\"MEET (a={P['a']}, b={P['b']}, k={P['k']}, θ={P['theta']}, s={P['s']})\"\n", " plt.plot(x, p, label=lbl)\n", "for P in gamma_edge_fail:\n", " dE = dE_gamma(x, **P)\n", " p = logistic(c0 + dE)\n", " tag = \"EDGE\" if P['a'] == P['k'] else \"FAIL\"\n", " lbl = f\"{tag} (a={P['a']}, b={P['b']}, k={P['k']}, θ={P['theta']}, s={P['s']})\"\n", " plt.plot(x, p, label=lbl, linestyle=\"--\")\n", "plt.xscale(\"log\")\n", "plt.ylim(-0.05, 1.05)\n", "plt.xlabel(\"x\"); plt.ylabel(\"P(AE | x)\")\n", "plt.title(\"Gamma NC — posterior-like curves (logistic(logit(p_prior) + dE_ess))\")\n", "plt.grid(True, which=\"both\")\n", "plt.legend(fontsize=8, ncol=1)\n", "plt.tight_layout()\n", "\n", "# ---------- plot: LogNormal NC -> P(AE|x) ----------\n", "plt.figure(figsize=(10, 6))\n", "for P in lognorm_fail:\n", " dE = dE_lognorm(x, **P)\n", " p = logistic(c0 + dE)\n", " lbl = f\"(a={P['a']}, b={P['b']}, μ={P['mu']}, σ={P['sigma']}, s={P['s']})\"\n", " plt.plot(x, p, label=lbl)\n", "plt.xscale(\"log\")\n", "plt.ylim(-0.05, 1.05)\n", "plt.xlabel(\"x\"); plt.ylabel(\"P(AE | x)\")\n", "plt.title(\"LogNormal NC — posterior-like curves (left tail → 1, not 0)\")\n", "plt.grid(True, which=\"both\")\n", "plt.legend(fontsize=8, ncol=1)\n", "plt.tight_layout()\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "e87fbbc7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'p': 0.5223337078325949, 'a': 0.07791249814311069, 'b': 1.0000000000012563e-06, 's': 72.57439320975203, 'k': 0.07791149814311069, 'theta': 0.1758115776107688, 'theta_max': 938.1841045320773, 'theta/theta_max': 0.00018739560472350516, 'logit(p)': 0.08939431551959076, 'C': -11.772762521423882, 'x* (bottleneck)': 0.2609370462497002}\n", "{'min P(AE|x)': 0.0002836951620095569, 'max P(AE|x)': 0.999999941238031, 'P at median x': 0.014396225333002544}\n", "Success: True fval: 7.394198136431164\n", "theta (p,a,b,s,k,th): (0.5223337078325949, 0.07791249814311069, 1.0000000000012563e-06, 72.57439320975203, 0.07791149814311069, 0.1758115776107688)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# constrained Bayesian fit + simple plot (Gamma for NC, Beta-Prime for AE),\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "import scipy.io as io\n", "\n", "#1- Data\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3] # 0=NC, 1=AE\n", "\n", "# feature X = max SUV_94 per subject; label y from flags\n", "X = np.nanmax(suv[:, :, 94], axis=1).astype(float).ravel()\n", "y = np.asarray(flags, int).ravel()\n", "X = np.clip(X, 1e-12, None) # guard for log()\n", "\n", "p_emp = float(y.mean())\n", "\n", "# 2) Small helpers\n", "def logistic(z):\n", " z = np.clip(z, -60, 60)\n", " return 1.0 / (1.0 + np.exp(-z))\n", "\n", "def sigmoid(t):\n", " return 1.0 / (1.0 + np.exp(-t))\n", "\n", "def softplus(t):\n", " t = np.asarray(t, float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0.0)\n", "\n", "def dE_ess(x, a, b, s, k, th):\n", " x = np.asarray(x, float)\n", " return (a - k) * np.log(x) - (a + b) * np.log1p(x / s) + x / th\n", "\n", "def dE_const(a, b, s, k, th):\n", " return -(a * np.log(s)) - betaln(a, b) + k * np.log(th) + gammaln(k)\n", "\n", "def dE_full(x, a, b, s, k, th):\n", " return dE_ess(x, a, b, s, k, th) + dE_const(a, b, s, k, th)\n", "\n", "def theta_max(a, b, k, s, eps=1e-12):\n", " A = a - k\n", " if A <= 0:\n", " return np.inf\n", " r = np.sqrt(a + b) - np.sqrt(max(A, eps))\n", " if r <= 1e-12:\n", " return np.inf\n", " return s / (r * r)\n", "\n", "\n", "# φ = [p_raw, b_raw, s_raw, k_raw, d_raw, u_raw]\n", "def unpack_phi_mono(phi):\n", " p_raw, b_raw, s_raw, k_raw, d_raw, u_raw = phi\n", " p = sigmoid(p_raw) # (0,1)\n", " b = softplus(b_raw) + 1e-6 # >0\n", " s = softplus(s_raw) + 1e-6 # >0\n", " k = softplus(k_raw) + 1e-6 # >0\n", " delta = softplus(d_raw) + 1e-6 # >0\n", " a = k + delta # enforce a > k\n", " th_cap = theta_max(a, b, k, s)\n", " th = th_cap * sigmoid(u_raw) # (0, th_cap]\n", " return p, a, b, s, k, th\n", "\n", "\n", "# 4) Objective: −log posterior\n", "def neg_post_phi_mono_WITH_CONST_REG(phi, X, y):\n", " p, a, b, s, k, th = unpack_phi_mono(phi)\n", " eps = 1e-12\n", "\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(X, a, b, s, k, th)\n", " px = logistic(L)\n", " nll = -np.sum(y * np.log(px + eps) + (1 - y) * np.log(1 - px + eps))\n", " \n", " return nll \n", "\n", "# 5) Initialization\n", "def init_phi(X, y):\n", " X0 = X[y == 0]\n", " m0 = X0.mean() if X0.size else X.mean()\n", " v0 = X0.var() if X0.size else X.var()\n", " k0 = 2.0 if v0 <= 0 else max((m0 ** 2) / (v0 + 1e-9), 1.5)\n", "\n", " X1 = X[y == 1]\n", " m1 = np.median(X1) if X1.size else np.median(X)\n", "\n", " p0 = np.clip(float(y.mean()), 1e-3, 1 - 1e-3)\n", " b0, s0 = 1.5, max(m1, 0.5)\n", "\n", " return np.array([\n", " np.log(p0 / (1 - p0)),\n", " np.log(np.expm1(b0) + 1e-9),\n", " np.log(np.expm1(s0) + 1e-9),\n", " np.log(np.expm1(k0) + 1e-9),\n", " np.log(np.expm1(1.0) + 1e-9),\n", " -0.2\n", " ], float)\n", "\n", "# 6) Fit wrapper\n", "def fit_bayes_mono(X, y, phi_start=None, rng=None):\n", " if rng is None:\n", " rng = np.random.default_rng(0)\n", " if phi_start is None:\n", " phi_start = init_phi(X, y)\n", "\n", " obj = lambda phi: neg_post_phi_mono_WITH_CONST_REG(phi, X, y)\n", " res = optimize.minimize(obj, phi_start, method=\"L-BFGS-B\",\n", " options={\"maxiter\": 6000, \"ftol\": 1e-9})\n", " if not (res.success and np.isfinite(res.fun)):\n", " phi_try = phi_start + rng.normal(0, 0.2, size=phi_start.shape)\n", " res = optimize.minimize(obj, phi_try, method=\"L-BFGS-B\",\n", " options={\"maxiter\": 6000, \"ftol\": 1e-9})\n", " return unpack_phi_mono(res.x), res\n", "\n", "def dE_ess_prime(x, a, b, s, k, th):\n", " x = np.asarray(x, float)\n", " return (a - k)/x - (a + b)/(s + x) + 1.0/th\n", "\n", "def curve_summary(theta, X, y):\n", " xg = np.linspace(max(1e-6, X.min()*0.8), X.max()*1.2, 600)\n", " pg = P_with(theta, xg)\n", " print({\n", " \"min P(AE|x)\": float(pg.min()),\n", " \"max P(AE|x)\": float(pg.max()),\n", " \"P at median x\": float(P_with(theta, np.median(X))),\n", " })\n", "\n", "# after fit:\n", "diag_report(theta_hat, X)\n", "curve_summary(theta_hat, X, y)\n", "\n", "# 7) Run fit\n", "theta_hat, res = fit_bayes_mono(X, y)\n", "print(\"Success:\", res.success, \" fval:\", float(res.fun))\n", "print(\"theta (p,a,b,s,k,th):\", tuple(float(t) for t in theta_hat))\n", "\n", "# 8) Simple plot\n", "def P_with(theta, x):\n", " p, a, b, s, k, th = theta\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(x, a, b, s, k, th)\n", " return logistic(L)\n", "\n", "# x-range (cap right end at 10 for readability)\n", "x_lo = max(1e-6, float(X.min()) * 0.8)\n", "x_hi = min(10.0, float(X.max()) * 1.2)\n", "xg = np.linspace(x_lo, x_hi, 600)\n", "\n", "p_curve = P_with(theta_hat, xg)\n", "\n", "fig, ax = plt.subplots(figsize=(7.0, 4.6), dpi=140)\n", "ax.plot(xg, p_curve, color=\"#000000\", lw=2.2, label=\"P(AE|x) (MAP)\")\n", "\n", "# overlay data with tiny vertical jitter so points don't overlap\n", "rng_plot = np.random.default_rng(999)\n", "jit = (rng_plot.random(len(y)) - 0.5) * 0.06\n", "ax.scatter(X[y==0], (y + jit)[y==0], s=22, alpha=0.55, color=\"#2ca02c\", edgecolors='none', label='NC')\n", "ax.scatter(X[y==1], (y + jit)[y==1], s=26, alpha=0.75, color=\"#ff7f0e\", edgecolors='none', label='AE')\n", "\n", "ax.set_ylim(-0.05, 1.05)\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('P(AE | x)')\n", "ax.set_title('Constrained Bayesian fit (Gamma NC, Beta-Prime AE)')\n", "ax.legend(loc='lower right', frameon=False)\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "043b11e8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AE=5, NC=53, empirical p_AE=0.086207\n", "\n", "BASE (no constraint) success: True CONVERGENCE: NORM OF PROJECTED GRADIENT <= PGTOL\n", " p=0.053480, a=49.9583, b=15.9647, s=10.0000, k=28.6710, theta=10.0000, a>k? True\n", " NLL: 6.403745789285891\n", "\n", "SOFT constraint success: True CONVERGENCE: NORM OF PROJECTED GRADIENT <= PGTOL\n", " p=0.050225, a=50.0000, b=0.2000, s=3.7685, k=0.2000, theta=0.0100, a>k? True\n", " NLL: 1464.444119144208\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_5916\\1900790618.py:43: RuntimeWarning: overflow encountered in exp\n", " return np.where(t>20, t, np.log1p(np.exp(t))) # stable\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "HARD constraint success: True CONVERGENCE: NORM OF PROJECTED GRADIENT <= PGTOL\n", " p=0.053149, a=6795.4940, b=1694.7311, s=1234.7887, k=6771.2494, theta=6329.3276, a>k? True\n", " NLL: 6.262670551686708\n" ] }, { "data": { "image/png": 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OnTsVQHn++edt4/r06aMAys6dO+3KtmjRQgkPD7e9f/bZZxWNRqPs37/frlz//v3zNS8vqIl2Yc3L8zZPN5vNSp06dZTWrVvbNalLTk5W/P39le7du9vGZTe1nTNnjt1nTpo0SXFyclIsFkv+jfPfMoxGo7J48WJFp9Mp8fHxRcZekHHjxilAvldgYGCRTXwVRVFMJpNiNBqVW265RRk+fLhtfFJSkuLu7q488cQTduVbtGih9O3b1/Z+9uzZilarzddU86efflIAZc2aNYqiKMo777yjAMq1a9eKXZ+KYrFYlMaNGytBQUG2po/Z3+PGjRvtymaPL+jVqFEju7L169cvtGzu18yZM23zZDdXLOg1fvx4u6aZFy5cUPR6vTJlyhS75SYnJyu1a9dWRo0aZRtX0ublRe2HhcneJtHR0YrRaFQSEhKUJUuWKM7Ozkq9evWU9PR0RVFyftd5t2n2tD59+uTbDm3btrX7zX3wwQcKoNx2221280+dOlUBlMTExFJvm9KoX7++MmTIEEVRFGXevHkKoPz222+KouRvClraY6SiFP4bzvvKva0eeeQRBVCOHTtm91kWi0UxGo22V+59J6/s7/3VV19VfHx87I5T9evXV5ydnZVLly7Zxu3fv992bMl9i8CKFSsUQFm5cmW+dVq+fLltnNFoVPz8/BRA+eeff2zj4+LiFJ1Opzz11FOFxlrYsaowzZs3VwYOHJhvfHbz8rwvR0dHZe7cufnKp6amKh4eHkrXrl3t1k2j0SinTp2yK7tr1y4lODjY9pnu7u7KrbfeqixevDjf/4Civufibgn46KOPFEA5fvy4bVx8fLzi6OioPP3007Zxbm5uytSpU4veUAWIjY1VevbsaYvHYDAo3bt3V2bPnq0kJyfbyr355psKoKxbt67Qz0pPT1cAZdCgQbZx2ceEvK977rmnwM8obfPyAwcOKIDy5Zdf2o3v3Lmz0rFjR9v7W2+9VWnXrl2JPzdbUcfr3K+8zcsnTJigAMrRo0cVRck5drz44ot25bLH//DDD4rRaFTS0tKUbdu2KaGhoUqLFi2UhIQEu/JFNS9XlJzzsEcffdRufFZWlqLRaJRnn3221NtAiNKSjtSEKGebN28GyNcba+fOnWnevDkbN27kjTfesI2vXbs2nTt3tivbpk0b9u/fb/eZLVu2pG3btnblxowZU+DV9Ot1/PhxLl++zNSpU+2a1Lm5uXHHHXfwxRdfkJaWhouLi21a3lqnNm3akJGRQUxMDAEBAQDs27ePmTNnsm3btnw9GJ84cYIuXbqUOlZnZ2fbVWyLxUJkZCQffvghgwcPZt26dXTr1s1W9vPPP+fLL7/kyJEjdr2aNmvWzDbs7u7O/fffz8KFC3njjTdwdXVl06ZNHDlyxK5GbNWqVbRq1Yp27drZ1VqHh4fbmuoPGjSIm266CYBRo0bxwAMP0KNHjxJ17maxWK679kOn0xXZkdeff/7JqVOneP7559HpdADcf//9vPrqqyxYsICbb7453zx//PFHvo7U8naC89tvvxXYW2xederUyTfuiSeesDUHTklJISIigtdff53U1FSWLVsGwPr16zGZTNx3331229zJyYk+ffrYfnPFKcl+qChKvpr8vE1Oa9eubfe+R48efPnll3bbpVatWgVuz8IMHjzY7jfXvHlzALtWG7nHX7hwgVatWpXZtinK/fffz/vvv89zzz1nq1G8US+//HKJWuq4u7sXW+bXX39l+PDhtveurq6kpKTY3m/atIlZs2axe/fufDWBuY9TAO3atbP7nWZv77CwMLvjXvb47FsKsmk0GrttpNfrady4MXq9nvbt29vGe3t74+/vn2/+khyrCnP58mXbcacgixcvtsUdGxvLL7/8wuTJkzGbzXbfxbJly0hKSrK7FWbChAksWrSIr7/+mtdff902/qabbuLUqVNs2rSJv/76iz179rBx40ZWrVrFsmXLWLlypd0xadSoUUybNi1fbA0bNixy3e655x6mTZvGwoULmTVrFmCtxc3MzLTV4oL1/+zChQvx8fGhX79+dOzYscDm83n5+PiwdetWW/x79uxhy5YtzJgxgy+++ILdu3fj6+tb7OfklvdY3KhRI77//vt8yy0LrVu3pmPHjnz99ddMnDgRgKNHj7Jr1y7bLTdg3T6rV69m0qRJDBs2jG7duuHh4VHi5eQ+Xue2ZMmSfE3UU1JSWLZsGd27d7ftv3369KFRo0YsXLiQl19+Od8tCHmb7AcGBrJ9+3a8vLxKHCNQaMsJg8GAl5cXkZGRpfo8Ia6HJN1ClJKvry8uLi4lbg6V3YytoPvc6tSpk+8kq6B/uo6OjnbNFuPi4mjQoEG+cnlP/m9UcbFbLBYSEhLsTj7zxp99P2d2/BcuXKBXr16Ehoby4YcfEhISgpOTE7t27WLy5Mn5mmeWlFarzdebbnh4OPXq1eOpp56y3YP+3nvv8fTTT/PII4/w2muv4evri06n48UXX+To0aN280+ZMoVPPvmEpUuX8tBDD/HJJ59Qt25dhg0bZitz5coVTp06VeiJXPbtA71792bFihV89NFH3HfffWRmZtKyZUteeOEFRo8eXeh6ZZ/cXo+vv/66yEfvZDcPHT58uK05oaenJz179mT58uV88skn+U5u2rZtW+zJZosWLYptVgoF3+NZt25du+8x+9E6M2bMYP369YSHh9vu5yssoSjJvaMl3Q8XLVpkdxIP+U/gsi9EGAwG6tatW+BvuLS9DHt7e9u9d3BwKHJ8RkYGQJlsm+LodDpmzZrF7bffzqJFi/Idi0p7jAQIDg6261m4MLkTl+DgYMCa6ObufTgsLIzdu3cD1vu3c19o2LVrFwMGDCAsLIx58+ZRt25dHBwcWLFiBW+88Ua+48/1fg/ZXFxc8l2UcnBwyDd/9vjc85fmWFWQ9PT0QnuFBuuFgty/tYEDB3L+/HmmT5/Ovffea/vtz58/HycnJwYOHGg7TrRp04aQkBAWLlzIK6+8YrtoB9ZEJjw83NYnRlxcHCNHjmTVqlWsXbvW7iKEn59fgb2gF8fb25vbbruNxYsX89prr6HT6Vi4cCGdO3emZcuWtnI//PADr7/+Ol999RUvvvgibm5uDB8+nDlz5pTo/2WnTp1s8RmNRp599lnef/995syZw5w5c2z7YFH7eva0vLdaODk5Xde6l9SECROYPHkyx44do1mzZnz99dc4Ojra/b+ZMWMGrq6uLFmyhM8//xydTkfv3r156623ShRb3uN1toKaa//www+kpKQwatQou+bro0aNYvbs2WzYsCFfPypvvfUWN998M2lpafz+++/Mnj2b22+/nZ07dxbYV0Rhss+zCrrQ6+TkdN3nHUKUhiTdQpSSTqfjlltuYe3atVy6dKnYE8XsE/CoqKh8ZS9fvlzqq+XZnxkdHZ1vfEHjbkTu2PO6fPkyWq2WWrVqleozV6xYQWpqKj///DP169e3jc9dk19WXFxcaNSoEf/++69t3JIlSwgLC+Ozzz6zK1tQRyqNGzdm0KBBfPrppwwaNIiVK1fmO8H09fUtsjOY3N/vsGHDGDZsGJmZmezYsYPZs2czZswYQkJC7GricytpDWBBCrowky13R0iFJWjffvttsfceF6RRo0b5LiYVZObMmSV6lFebNm0A6/214eHhtm36008/2e1DpVHS/XDo0KG2BK4wJbkQUdyjw8pKWWybkhg2bBg9evRg5syZfPnll3bTSnuMhJJfXOrTp4/thL5///48//zzrFy5kgEDBtjKeHl52RKBvBdAvv/+ewwGA6tWrbJLSCuqk6vSKM2xqiC+vr6lfhZ6mzZtWL9+PSdOnKBz586cOHHC1ndHdoKZ1/r164ts8eDj48PUqVPZsmULhw4dKrPWEffffz8//vgjGzZsIDg4mN27d+fbVr6+vnzwwQd88MEHXLhwgZUrV/Lcc88RExPDunXrSrU8g8HAzJkzef/99zl06BAAffv2Ra/Xs2LFigKfYQ85+1b//v1Lv5I3YPTo0Tz11FO21lrffPMNt99+u93/bL1ez1NPPcVTTz3FtWvX+OOPP3j++ecJDw/n4sWLdhfUb1T2Rd6pU6cW+Hzs+fPn50u6GzZsaPst9+7dG2dnZ/73v//x8ccf88wzz5R42dkd6+XutDJbQkLCdZ2HCVFaknQLcR1mzJjBmjVrmDhxIr/++qutliOb0Wi09Qid3aR0yZIldsnN7t27OXr0KC+88EKpl9+3b1/mzJnDv//+a9fE/Ntvvy3R/HlrzgsTGhpKUFAQ3377Lc8884wtcUhNTWX58uW2Hs1LI/szcl+lVhSFefPmlepzSiIlJYVTp07h7+9vt/y8V8gPHDhAREREgZ0+PfHEEwwYMIBx48ah0+lsTfWy3XrrrcyaNQsfH58ik9zcHB0d6dOnD15eXqxfv559+/YVmnSHhITY9T5fVr799lvS09N57bXX6NmzZ77pd955JwsWLLiupPtGmpcXJDsRzv4ew8PD0ev1nD59mjvuuKPIeXO3tHB2draNL+l+6OPjU2ZNPitCabbNjXrrrbfo2bMnH330Ub5ppTlGwvU1L+/UqRMDBgxg3rx53HXXXfTq1avY+TUaDXq93u7CWXp6eqV8jndpj1V5NWvWjNOnT5dqmdm/texOALMTpXnz5tG4cWO7sunp6QwbNowFCxYwePBgjEYjSUlJBf5esmvmS/qbL4kBAwYQFBTE119/TXBwME5OTkW2GgoODuaxxx5j48aNbNu2rcjPjoqKKrB1St71qF27NhMmTODLL7/khx9+yNcc+sSJE7z11lu0bNmyyM7WykOtWrW4/fbbWbx4Md26dSM6OrrIp2V4eXkxcuRIIiMjmTp1KufOnSu0E77SOnr0KBEREdxxxx0F/s5ff/11fv31V+Li4oo83k6fPp2FCxfy5ptv8vDDD5fodpMNGzbw1Vdf0b1793z/6y5fvkxGRkaZracQRZGkW4jr0K1bNz777DMmTZpEx44defTRR2nZsiVGo5F9+/bx5Zdf0qpVK4YOHUpoaCgPPfQQH3/8MVqtlkGDBnHu3DlefPFF6tWrl69n75KYOnUqCxYsYMiQIbz++usEBASwdOlSjh07VqL5W7duzZYtW/jtt98IDAzE3d3drnlmNq1Wy5w5c7jnnnu49dZbefjhh8nMzOTtt9/m2rVrtkfflEb//v1xcHBg9OjRTJ8+nYyMDD777DMSEhJK/Vm5WSwW22OMsu/p/uijj0hISLCrTb311lt57bXXmDlzJn369OH48eO8+uqrNGjQoMCexPv370+LFi3YvHkz9957r10CD9bvYvny5fTu3Zsnn3ySNm3aYLFYuHDhAr///jtPP/00Xbp04aWXXuLSpUvccsst1K1bl2vXrvHhhx9iMBjo06fPDa379Zg/fz61atXimWeeKbAJ6n333cd7772X78LO3r17893TDdYm5dn3ArZu3fq647pw4YLte0xNTSUiIoLZs2dTv359RowYAVgvRLz66qu88MILnDlzhoEDB1KrVi2uXLnCrl27cHV15ZVXXrGL5a233mLQoEHodDratGlTbvuh2kqzbc6dO0eDBg0YN27cdT0mrkePHgwbNoxff/0137TSHCOz476ei0tLliwhPDycfv36MX78eMLDw/H39ycpKYkDBw7wxx9/2N2jOmTIEN577z3GjBnDQw89RFxcHO+8806pmqpWlNIeq/IKCwvj1VdfzdfvRrZDhw7ZPicuLo6ff/6ZDRs2MHz4cNsysu/7zttDfrahQ4eycuVKrl69ikajISQkhDvvvJN+/fpRr149UlJS2LJlCx9++CHNmze3/YazXblypcDHz3l4eBSbCOl0OttxysPDgxEjRtgdmxITE+nbty9jxoyhWbNmuLu7s3v3btatW5cvjrzCw8OpW7cuQ4cOpVmzZlgsFvbv38+7776Lm5sbTzzxhK3se++9x/Hjx7n33nv566+/GDp0KI6OjuzYsYN33nkHd3d3li9fbnehp6JMmDCBH374gccee4y6devSr18/u+lDhw6lVatWdOrUCT8/P86fP88HH3xA/fr1adKkSZnFkX3xZvr06fn6rAFr642NGzeyZMkSu22bl8FgYNasWYwaNYoPP/yQ//3vf7Zpuc8BMjMzuXDhAmvXrmXZsmU0b97c1idIbtnl+/bte0PrJ0SJqNmLmxBV3f79+5Vx48YpwcHBioODg+Lq6qq0b99eeemll5SYmBhbObPZrLz11ltK06ZNFYPBoPj6+ir33nuvcvHiRbvPK6yH0oJ68T5y5IjSv39/xcnJSfH29lYeeOAB5ddffy1R7+X79+9XevToobi4uNj1CJy39/JsK1asULp06aI4OTkprq6uyi233KJs27bNrkx2T85Xr161G5/dU27uXkx/++03pW3btoqTk5MSFBSkTJs2TVm7dm2JYi9IQT0f+/v7K3369FF++eUXu7KZmZnKM888owQFBSlOTk5Khw4dlBUrVhS5rJdfflkBlB07dhQ4PSUlRfnf//6nhIaGKg4ODoqnp6fSunVr5cknn1Sio6MVRVGUVatWKYMGDVKCgoIUBwcHxd/fXxk8eLCydevWYtevrP37778KUGSvvseOHVMAWy/YRfVeDigbNmy4oZgK6g3XyclJadq0qTJ16lQlKioq3zwrVqxQ+vbtq3h4eCiOjo5K/fr1lZEjRyp//PGHrUxmZqby4IMPKn5+fopGo7HbF0u6HxamsH0+r6J6Hi6s9/K3337brlzeHsKzZf++8vaeX5Jtc/DgQQVQnnvuuWLXNXfv5bkdOXJE0el0BcamKCU/Rt6IjIwM5eOPP1Z69uypeHl5KXq9XvH29lZ69eqlvPXWW0pcXJxd+QULFiihoaGKo6Oj0rBhQ2X27NnK/Pnz8x2nCltnQJk8ebLduIK+t8J6VC5sf8i7vOs5VuV26tQpRaPRKMuWLbMbX1Dv5Z6enkq7du2U9957T8nIyFAUJadH9g8++KDQZaxbt04BlHfffVfJzMxU3nnnHWXQoEFKcHCw4ujoqDg5OSnNmzdXpk+fnu97KOp40qNHj2LXT1EU5cSJE4UegzIyMpRHHnlEadOmjeLh4aE4OzsroaGhysyZM+16ni/IDz/8oIwZM0Zp0qSJ4ubmphgMBiU4OFgZO3ascuTIkXzls7KylE8//VTp0qWL4ubmpjg6OiqhoaHK9OnTldjY2HzlS9sbeWnLZzObzUq9evUUQHnhhRfyTX/33XeV7t27K76+voqDg4MSHBysPPDAA8q5c+eK/NzCjlPZ3n77bdvvKSsrS/H39y+yl3STyaTUrVtXad26taIohR/vsnXp0kWpVauW7Wkgec8BnJ2dleDgYGXo0KHKggULlMzMzAI/Z+zYsbZlClHeNIpSgt5uhBCiBuvUqRMajabYe3uFqErmzp3L9OnTOX36tF2P3aL6GDp0KCaTibVr16odihCVSlJSEnXq1OH999/Pd9uYEOVBmpcLIUQBkpKSOHToEKtWrWLv3r388ssvaockRJnavHkzjz/+uCTc1djs2bNp3749u3fvLvLxYULUNO+//z7BwcH5nk4hRHmRpFsIIQrwzz//0LdvX3x8fJg5c2aFd4IjRHn78ccf1Q5BlLNWrVrx9ddfl/mTLYSo6jw8PFi4cCF6vaRComJI83IhhBBCCCGEEKKcaNUOQAghhBBCCCGEqK4k6RZCCCGEEEIIIcqJJN1CCCGEEEIIIUQ5qZG9B1gsFi5fvoy7uzsajUbtcIQQQgghhBBCVDGKopCcnEydOnXQaguvz66RSffly5epV6+e2mEIIYQQQgghhKjiLl68SN26dQudXiOTbnd3d8C6cTw8PFSO5sYYjUZ+//13BgwYgMFgUDucClEd1rmqrENljFPtmCp6+WqvrxAVTfb5qkm+t+tX07ZddVnfqrIelS1OteMp6+UnJSVRr149W35ZmBqZdGc3Kffw8KgWSbeLiwseHh6V4odUEarDOleVdaiMcaodU0UvX+31FaKiyT5fNcn3dv1q2rarLutbVdajssWpdjzltfziblmWjtSEEEIIIYQQQohyIkm3EEIIIYQQQghRTiTpFkIIIYQQQgghyokk3UIIIYQQQgghRDmRpFsIIYQQQgghhCgnknQLIYQQQgghhBDlRJJuIYQQQgghhBCinEjSLYQQQgghhBBClBNJuoUQQgghhBBCiHIiSbcQQgghhBBCCFFOJOkWQgghhBBCCCHKiSTdQgghhBBCCCFEOZGkWwghhBBCCCGEKCeSdAshhBBCCCGEEOVEkm4hhBBCCCGEEKKcSNIthBBCVHGpmSZiUzILnBabkklqpqmCIypf2etb0HrnHl/cete07SaqHtlHhageVE+6//rrL4YOHUqdOnXQaDSsWLGi2Hn+/PNPOnbsiJOTEw0bNuTzzz8v/0CFEEKISig108TMlYd5bvlBribbn5xfTc7kueUHmbnycLU5Oc9e32k//suzyw/YrXf2+j67/ADP/Phvketd07abqHpkHxWi+lA96U5NTaVt27Z88sknJSp/9uxZBg8eTK9evdi3bx/PP/88jz/+OMuXLy/nSIUQQojKJ91o5lqakStJGcz42T4BnfHzQa4kZXAtzUi60axypGUje32jkzLYcSaeSwlpzPj5IMeikpjx80EiE9LYcSaeK4lFr3dN226i6pF9VIjqQ692AIMGDWLQoEElLv/5558THBzMBx98AEDz5s3Zs2cP77zzDnfccUc5RSmqhKw0SLoM5iwwZ4LZBCigKP8VUHLK1u0M2lzXnBLOQWKkfZmCOHpAYBv7cZf3QVZq8fF51Qevera3GosJzfltoC/BzzCwLTi657xPiYHYE8XPpzVAcBf7cVePQ+rV4ud19QOvhvbjLuwEi7H4eX2bgpt/zvvMZIj6t/j5wPrd6B1y3l+7CNfO295qTCZ8ko+hOe9pv+0cXKFOe/vPijoAmUnFL9MjCLwb5Ly3WODC9gKL5lt+QCtw9sopkBoHV48Wv0w0ENLDflTcaUiOKnp5AM7eENDCft5Le8CUUfxivRuCR52c98Z0iNxbgniBoI5gcM55n3QZ4s8UP5/eCep2sh935Qikxxc/r3sg+DSyH3duG8X+VgH8moOrT8779Gtw5VDx8wEEd7c/RsSfhaTI4ucrw2MEpiy4tKvY2XyBN29tznOrztpOzqf3rMWKDVvwS8uiqYsDD93UEK/Y3RCbZ+YbPUb4hdqPK4NjRKG/8exZ63Zm9ojWzPj5ICigTY7EIyue977ahqejHm2miVbOevycnOzXO88xwtfNkTk94asNx0mIy+Lrpf9y1011+WH3pfzbLavkx4h8yvkYUSAVjhEakwmtJct+pBwj8ivoGBG1v8B93hd45yYjX/51hoS4LN5edoX7B/fi3d9PcCUpgzruOt66Kbng33Zeap1HFHCM0GSlF/kbB8r1PKJQpTyPsDtWedevtMeISncekTv9LO4YEdASnGuV7LMrOdWT7tKKiIhgwIABduPCw8OZP38+RqMRg8GQb57MzEwyM3Oa5SQlWX88RqMRo7EEJweVWHb8VX09SiwzGcvR32h7YTmm+NbgnSuJPbsN/XcjS/QxxmcjQe9oe6/dNR9dxEfFzmcJ7o557Eq7cfpfp6C5crDYec1h/8PSY6p1+UYjBnMa+iUTShbvhI3Wf5j/0ZzYgH7lpGLnU1x8MD153G6c7s+30R76sdh5La1GYhz8sS1eAP33Y9CkFfefHUy3zUVpPSpnxJXjGBYOKXY+AOPUo9Z/1P/R7v8e3ZbXbe/1QE+AU/bzKQGtMT242W6cbu2zaEvwT8/c/QksfV/MtQKZhcabd/mme1eg1O9pm645tw39j2OLXaaic8D03GW7cdrtn6Dbu6DI5QFYmoRjHrXUvtzyB9EknC12uebwt7B0eiBnRMLFkn83j+6y/rPNjvfwb+jWTy92PsUrBNPkPXbjdH+8jPbk+uLj7XA/lkFv243Tf3M7GnNWIXPkMN35DUrTnIu6msh96JfcXux8UMAxYs/X6LZ/WOx8ZXWMACA1rsTfjeeEjbx2W3NeWXmYmOQ01vyymukp71knJgHLCp7vRo8R5mH2t3eVxTGisN94NuPUo3i5+tnWt3vGNu5L+8Y6Me2/Qin/vXKtd0HHCK8/X2R69H/HiCTgN7Dt0bm2W2mOEfnWtZyPEQVR4xihB5xbvG13PiLHiPwKOkboVk2lZ8yhAvd5L3L2ySWm+3hhuTVxDvJw4pV+tfGa17pk8ap0HlHQMUKfFlvkbxzK9zyiMKU9j8h9rKrMx4jKdh5hdLeeuxuNxmKPEabRP6E0DCvRZ5dUWedOJf2cKpd0R0dHExAQYDcuICAAk8lEbGwsgYGB+eaZPXs2r7zySr7xv//+Oy4uLuUWa0XasGGD2iGUK0fjNZpF/Uy9+G0YFCMhwI71i7nimXNF0if5GD0L/QR769atw6LNuUDTIvI0TUowX3x8PNvWrLEb1ycpCa8SzHv8+HFOJubM61BE2by2bdtGokvOFfS68f/SsQTzZWVlsS5PvB0iI6lXSPncIiMv889/+1X2/jUwKxPHomb6z7///suli262955p5wgrwXwAf/yxkSyDh+19k+jjtCiifLbEpCT+zLOuPeLj8S3BvKdPn+Zoes68WouRoSWMd8eOncQdzrkKXjvxH7oUUT6bxWJhTZ5421w8T4NCyud25UoMu/LMe0tqKm6FlM/t8OHDnI3Jmdcl8wr9SzAfWPvTSHU8ZnsfcvUQbYsony0tLY0/8sTb+UoM+Y/W+V24cJ4Deea91WJBV4J59+7dS/SpnNoun+Sj132MaH75NE1LMF+ZHiOMSZS0HVj2MWKQF+AFdeNTrUlnMW74GJFn3oo+RgzygiYZGVCCyl85RpT/MQLsz0fkGJFfgceI5OQSHSM6eKbjXjvB9v6fiOOlPkZkq7DzCJWPESDnEQVR9zzCmsdt2LCh2GPErl27uHosrYgS16+scqe0tJLFV+WSbgCNRmP3Xvmv+XDe8dlmzJjBU089ZXuflJREvXr1GDBgAB4eHgXOU1UYjUY2bNhA//79C6zlrw405/5C98uTaNLi7MZ3qGNA02dwzoj4UCzOp0BrQNE7WptEZe8Ttn3D+ndg38Ggy9lemlMOmC80tCtTEC+v+gzuMNhunNbvEubk6GLXo2nDvjQJ6QVYv7dN637D2OUxtNriu1bo0Wk4eOQ6/Yiui/lI8f+29AYXBveyj1dzJBNzdKdC5sgRGNCK/k372+1fWvfJmI3FH1zaNB9Gm1xX1EmKwuxdfO0XQL+et4JDzmFfc84d85mcdbdYLJw7e5aQBg3stp27e20G35RnXf+5irkETcoa1u9Bg0a35IywmDC7PF5g2bzL79L+DqgVklPgaiPMBy3FLhONjsF988R7HMyRLYtcHoCfb1MGt8mzH9Y6jTk9geK0aDqI5nVvyhmRFo/Z82Lx8QJ9ut4GLjlNMTWX/DCf8Cp2PidnLwZ3y7OuB5Iwl6BpY72gTtQNtZ8X5ymYleLvYezQ+k77po0JLTD7laCZNzAwbAhoc/5Fak47Yj7fsIg5rMrqGAFAVgpm9xI0/8R6jIjV+vxX051BA1NzzjvfgYuDnp6NfXF2KDgFudFjxOCWeda1DI4Rhf3Gs2UfI2JTsnhl5WF2JbelCVlYFAWtRoObox43p/zrXdgxIiXmDH+fiiUtK6czqrzbrTTHiLzK+xhREDWOERaLBWOai935iBwj8ivoGKF4n+fkwR2F7vPpWWb+PhnL36mtOXDeC0VRqOXiyJRebYnVPoJFAYui5HphfVly3qfU7Uaagz8ms4LJYsGk06GxZKAoCgrWO/GsfxXbXXmKAllaJw5oG6HYlgHp7gMI1IfYzUeuz8l22akx+zKCrdvnv3EOte7EwZxOckoyHu7uoNEUeNZ10NCJKFOIdV4NeOrc0Pnfg1ajAQ1o/5tPq9Gg0YBWw39/NVzxbgsOrmi1GvRaDdGGTLQu7tbpWMvrtBq0Gg06Leg0GrRaDYpbbVq2C8NBp8VBp8FBr8XF7wqmpAsF5hi5j1UNG/SqtMeIynYeYTR42M4tHa4UfYy4qd0d4N2o0OnXo6xzp+wW1MXRKErun4e6NBoNv/zyC7fffnuhZXr37k379u358MOcJjy//PILo0aNIi0trUQbLykpCU9PTxITE6tF0r1mzRoGDx5cPZPus3/BkpHWe7QBHD0wtxpJRGIAXYY/jMG1at7nUVW+t8oYp9oxVfTy1V5fUTXk7lgpwMOJpwc0td33GeDhxOwRrfFzL0n9kvpKss9nr29kQhpXU7LwcjFwLc1ILRcDCWlGfN0cqFvLpdj1rk7bTW01+VhlsSikG82kZplIy/zvb5aZ1Mw8f3NPzzSTYTKTabSQbjRxOToGN89aZJkVMk0WMk1mMowWMozW+S2V5my9ZtJrrUm4QafFQa/FUa/FSa8lKy2FQH9vXBz0uDjocXbQ4WzQ4eKgw9nhv78GHc4Oelz+e+/uZMDDSY+HswF3Jz3OBl2hFYdlobL9NtWOp6yXX9K8ssrVdHfr1o3ffvvNbtzvv/9Op06dKsWOJMpQ8hX4cXxOwt24Pwz/HIuDJ3Fr1tjVhgohRE0Vm2KfOGYnitmdjWV3rvbmHa3xdav6CWT2+kZesybc2Qn2M6Ob8s7vJ9BrreM1UOR617TtJoqXYTQTl5pFXEomcalZJKUbSUw35vprsv7NMOb8TTOSnGnixquwtJCUWBarIcqByaJgyjIDeVtQaLhwtvja4aLotRrcnfTWZNxZj7ujNRn3cDbg6WzA29XB9vJxdcDHzRFvVwc8nPTlmqyLsqV60p2SksKpUzl39p89e5b9+/fj7e1NcHAwM2bMIDIyksWLFwPwyCOP8Mknn/DUU08xceJEIiIimD9/Pt99951aqyDKy9rpkN2kvHE/GP2dtUl4Tek0TgghSsDZoMPLxXrROXfNbO4E0svFgLOhJHe5Vn7Z62u2ONHIz40MoyVfwtzI342UTFOR613TtltNZTJbiEnOJCoxg+jEDK4kZRCXmklcShaxKVnEpWYSn5pFXEoWKZXgedcOOmstqqPBWquanGGNKcTHBVdHPY4GHY56LYoChyITcTJouSnEG2cHHXqtFoNOg16nyTWsRa/VYNBp0es0GLRadFprGYPOOmxtXm1tcarVaNBqcjfb1vzXFLvw6dnjNP+N05DTd7z1YoSSaxiMRhN/bf2LXr16odcbULBv0m6dw34ei6Jg/q+5vMmsYP7vfb5XrvEmi4Il++9/81kUBaNZwWi2YDRbyDJZyDRZyDJbMP73N8tknZZpsg5n5SprnaaQYTSTbjSTnmVCKeK2xJIwWRQS0owkpJXu/Nag01DLxZqM+7o54u/hSKCnE7U9nKjt6fzfXyc8HCQxrwxUT7r37NlD3759be+z770eN24cCxcuJCoqigsXLtimN2jQgDVr1vDkk0/y6aefUqdOHT766CN5XFh1c3k/HFlhHXb1g+Ff2N2DLYQQwsrVUc8rt7Uk3WjOVyPr5+7Im3e0xtmgw9VR9X/5ZSL3+jobdHbrnXt9s6cXtt41bbtVV8kZRi7Gp3MhPpUL8WlcvpZBVGI60YkZRCVmEJuSWS5Ns3VaDZ7O9s2EXRz0uDrocHH876+DHlfHPH8d9Lg4WpsZuxj0OBq0aBULWzZuYOiQQTg52nezmpppKnAfBWtrjaq4jxqNRk66QNMA9yrdStVoNLJ69RpuGRCOUdGSlmUiw2gmLcv6sibl1lfafwl6SqaZ5AwjyRkmktKtf5Mzra0ossebSrjDGs0KMcmZxCRnAsmFljPoNLjrdSyJ2k2Ijyv1fVwI9nEl2NuF+t4ueLkYpMa8Aqj+Kw0LC6Oo28oXLlyYb1yfPn34559/yjEqoTonD2hxuzXx7vMsuJak70ghhKiZXB31hZ54V8em0bnXN+96Z69vSRKRmrbdqqr0LDOnr6ZwKsb6Oh+fxoX4NC7GpxGfWvyjwYrj6WzAx+2/pruujrZhTxcHW2Lt6WzA08WAh5O1ya+LQ9ndh2s0GnHQWRP5vGQfrdw0GnAy6HA3WJuB3yhFsfYPkJxhTcKvpRmJS836rzVGpm04u3VG9nCWufCO14xmhXizhvhzCew+l78pvLuTnhAfV5r4u9E4wI2m/u40DXCnbi1ntAXsk+L6qJ50C1Eg74YwahFEHbDvWVQIIYQQ1VKmycyJ6BSORidxOiaFkzEpnIxJ5lJCeqnvmdZowM/tv+a2uZvcejri6+aIj6sjvm4O1HJ1wKAr/ikiQlQEjUZj65QtwMOpRPMoikJShokrSdbWHVf+a+URnZRBdGI6UYkZXIhNIs1UcAKdnGHiYGQiByPt+xRwMmhp7O9Gi0APWtf1ok2QJ80C3XHUyy0310OSblG5BbZROwIhhBBClLEMo5nj0ckcjEzkUGQihy4ncjw6GaO5ZNm1RgOBHk7U83YhOPvl40LdWs4Eejrj5+4oybSoETQa660Ons4Gmga455ue3Vt3r5sHEJWcxYW4NFtrEetwKpEJ6fluw8gwWjgUmcShyCSW7bkEWJuqN6vtQeu6nrSt60nnBj6E+LhI8/QSkKRbCCGEEEKUq7iUTPaeT2DP+QR2n4vnUGRiiRJsVwcdjQPcaeLvZm3+6u9GA19Xgmo5S42bEKXg7qTH292ZlnU8803LMJo5czWVkzHJnLiSzIkr/93KEZdql4wbzYqtVvzbndZx/u6OdGnoQ+cG3nRt4E1jfzdJwgsgSbeoXDJTIGo/1OsiHacJIYQQVVRiupGI07H8dTKWHWfiOHM1tcjyGg008nOjdZAnLet40DTAncb+bgR6OskJvBDlzMmgo0UdD1rUsX/OdHqWmSNRSRy8dI0DlxI5EJnI6aspdrd7xCRn8tu/l/nt38sABHg4EtbUn77N/OjR2Bd3JzmfB0m6RWVz9k/4fgw4uMOA16DT/WpHJIQQQohimC0KZ5Pho02n2HY6nv0XrxXZa3hDP1fa1fOidZAnrYM8aR7oUeV64RaiunN20NGxfi061q9lG5eSaeJQZCJ7zyew82w8e8/Fk5qV8/zyK0mZ/LDnIj/suYheq6FTSC0GtqzN4NaB+JfwPvXqSI5uonI586f1b1YyuAeqG4sQQgghCpVpMrP9VBzrD0fz+5Fo4lP1wJl85fRaDa3renJTiDcd69eiU/1a+JRxz9uKopBuSifdlE6GOYMMk/WVZkojw5RBpjkTs2JGURQsigULlpxhxYJWoyXEM4S2fm3tPvdw7GF0Wh0eDh7UcatTpjELURW5Oerp2tCHrg19mNwXTGYLhy4nsetsHNtPx7HjTBwZRmtv6iaLwo4z8ew4E88rq47QOcSbQS390d34QweqHEm6ReUSuTdnOLirenEIIYQQIh+j2cLWk1dZse8ym47FkJJpKrBcY383ejXxpXcTP7o09MbF4cZOOY/FH2PH5R3EpMcwtOFQmvs0t03bH7Of8evGY1bMRXxC8e5ocke+pHvC+gmkmdKo516PNSPW2E17Y8cbHE84jq+zL95O3vg6++Lr7IuPkw9+Ln4Eugbi7eQtzeNFtabXaWlXz4t29bx4qHcjMoxmdpyJY8vxq2w6FsOF+DQAFAV2no1n59l4tOjYkrqP0Z3rExbqh74GdHooSbeoPExZEH3AOuzTGJy9VA1HCCGEENZa5IORifz8TyS//XuZuAKeje1k0NLU3cTdvVsT1iyAOl7OxX6uyWIiKiWKi8kX7V8pF/mi3xf4ufjZyu69spd3974LQGitULuk29XgesMJN4Bem/+0OMtiXVc3g1u+aSevnWRfzL4iP9NZ70yQWxB13OoQ5BZEsHswjbwa0dirMb7OvpKQi2rHyaAjLNSfsFB/Zg5twYkrKaw+cJlVB6NsfTtY0LDx2FU2HruKv7sjd3aqy903BVPP20Xl6MuPJN2i8og5DOb//pHX6aBuLEIIIUQNl5Jp4pd9kSyJOM/xK8n5pns46enXIoDwlrXpFuLF5j/WM7hjEAaDfcdJFsVCZEokpxJOceraKU4mnOTktZOcSzqHyVJwTfmVtCt2Sbefc87wtcxrdmVrOdWiuXdzPBw8cNY746R3wknvZBt21jnjqHdEp9Gh1WjRarRo0NiGwXphoZFXo3xx3B16NxnmDGq71M43zWwpPtFPN6Vz6pp1vfPycPCgkVcjPgn7pNjPEaIq0mg0hNZ2J7R2KE/2b8qx6GRW7rvEtzvOkJhlveAUk5zJp5tP89mW0wxqFcgDvRrQIbhWMZ9c9UjSLSqPyH9yhoM6qheHEEIIUYOduJLMkh3n+fmfyHzNxx30Wvo192d4+7r0aeqHg96atBqNRluZmLQYDsYe5FDsIQ7GHuRw7GFSjCklXr5eqycpM8luXDv/drzd5238nP0I8Qixm+br7MuyoctKuZYl82znZwud9s3gb8gyZxGXHkdseixxGda/semxXE27SmRKpO1ltBjzzZ+UlcS5xHM46+1bBSw7voyziWdp49eG3nV742pwLfP1EqKiaTQamgd60Ni3CU2yTuLW+CZ++ucyG4/FYLYoWBRYfTCK1Qej6Fi/FpPCGnFzM/9q0xpEkm5RecQczRkObKNeHEIIIUQNtOtsPHO3nGLL8av5pnUI9mJUp3oMah2Ip3PhjwCaf3g+n/77abHL0mv0hHiG0MCzAXXd61LPvZ7tVdulNjqt/TO4/V38GRgysPQrVc4cdA4EugUS6FZ4568WxWJLws8lnePUtVOcuXaGU9dOUc+9Xr7y68+tZ1f0LjgKa0eslaRbVDs6DfQN9WNAqzrEJGfw/a6LLI44T2xKJgB7zyfwwKI9tKzjweO3NKF/8wC02qqdfEvSLSqP2BM5w76h6sUhhBBC1BCKorDlxFXmbj7F7nMJdtOcDTpubx/EvV2DaVnH0zY+PiOerZe2sjNqJ090eIIA1wDbtEae+Zto+zn70dKnJU1qNaFJrSY09mpMiEcIBl3NeH6vVqMlwDWAANcAOgTY3z5ntBghVyt1i2LhSNwRAILcgqjrXteu/FcHv2JX1C5uDr6ZsHph1HbN3+xdiKrE392Jx29pwkO9G7Jy/2W++vsMJ65YW8YcvpzE66uPcHMzf7RI0i1E2Yg9af3r7A2uPurGIoQQQlRjiqLw54mrvL3+OIcv2zflDvJy5oGeDbijY90Ca7W/PvQ1Cw8vBKBbnW4MbTTUNq2lT0u61O5CK99WtPZtTSvfVnZJubBn0BowmnOanms1WtaOWMvB2INkmDPylV9/bj3H4o8RERXBGzvfoKVPSwaGDGRww8H4u/hXZOhClCkng45RN9VjZMe6/HH0Ch9tOsmhyCQmhzXGUA16N5ekW1QOxnQw/ffPxbepurEIIYQQ1di/F6/x5tpjRJyJsxvf2N+NSWGNGNq2DgadllMJp1h8bC1jmo3BxznnYnifun1sSffeK3vtkm4/Zz++Cv+qQtajuvJy8qJX3V75xqcaU0nOsu/Q7nDcYQ7HHeb9f96na2BXhjYaSv/6/XHUle1z0IWoKFqthgEta9O/RQBbTlylRyNftUMqE5J0i8rB4AzTz0BaHGQkqh2NEEIIUe1EJ2bwxpqj/PbvZbvxLet4MOXmJgxoEUBM+hUWHp7P2nNrOZlgbYHm5+zH3c3utpVv59+Oh9o8RLfAbrTxkz5YKoqrwZW1I9ZyIuEEmy5sYvPFzRyNt/aHY1EsbL+8ne2XtzNn1xyGNxnOqNBRBLkFqRy1ENdHo9HQN7T6tN6QpFtUHhoNuPpaX0IIIYQoE1kmC19vO8uHG0+SlpVzA3F9HxeeGRDKwJb+RERv54nNb/BX5F9YFIvd/GvPrrVLuvVaPVPaT6mw+EUOjUZDqHcood6hPNruUc4lnmPVmVWsOrOKyJRIABIyE1hwaAELDy8krG4YE9tMpJVvK5UjF6Jmk6RbCCGEEKKa2nU2nud/OcipmJxHdnm7OjC1XxMGtnHn51M/MnjFcqJTo/PN29avLYMaDGJA/QEVGbIohRDPEB5r/xiT203mn5h/WHZ8Gb+f/x2TxYRFsbDp4iY2XdxE9zrdeajNQ3QMkEeyCqEGSbqFEEIIIaqZ9Cwzc9YfY+H2cyiKdZxGA/d2qc/o7i78cmYpQ35Zka+zLn8Xf+5ocge3NbotX8/ZovLSaDR0DOhIx4COTEufxvITy1l2fBkx6TEAtqbnXQK78Fr314p8xJkQouxJ0i0qh82zIT0ePOtB10mgk11TCCGEuB57zsUz7acDnI1NtY1rW8+LiTc78mfMIkav+92uCblWo6VXUC9GNh1Jz6Ce6LXyP7gq83X25eG2D3N/q/v59fSvzD8439b0/GTCSTwcPVSOUIiaR46qonI4/LP1Od0GF+gu94kJIYQQpWW2KHy48SQfbzppq9121Gt5sK8rV3QrmLFrnV15Z70zdzS5g3tb3CsdblVDDjoH7mx6J8MbD2ft2bXM3T+X+1vdj6vBVe3QhKhxJOkW6lMUSLxkHfasa23/JoQQQogSi0nK4Inv99s9Bqx9sBf3hKXz2p4pdjXb3k7ejGk2hrtC78LLyUuFaEVF0mv1DG00lPCQcLQa++cdx6bH8uxfz/JkxyelszUhypEk3UJ9afFgTLMOe9ZTNxYhhBCiivn7ZCxTf9hHbEoWADqthqf6N+WRPo0wWjL57LAvMWkxeDt582DrB7mz6Z046Z1UjlpUNAedQ75xc3bNYVf0Lu5Zcw+zes5iSMMhKkQmRPUnSbdQX+LFnGFP6bRFCCGEKAlFUZj/91lmrTmK5b/m5P7eSXw6KpybQrwB0GmdmNphKtGp0dzT/B5cDC4qRiwqk1RjKmcSzwDg7uBO18CuKkckRPUlSbdQX3bTcpCkWwghhCiBLJOFmSsP8d0u64VrjS6Zuk3WkqY7RKBPL8DbVnZoo6EqRSkqM1eDK9/d+h2LDi8i0DUQH2cftUMSotrSFl9EiHKWkuvZoO7yCAshhBCiKAmpWYydv9OWcAPc1G4/1zT/kGXJ4t0976oYnahKDFoDD7Z+MF+z8jRjGp/t/4wsc5ZKkQlRvUjSLdSXcjVn2M1fvTiEEEKISi7yWjp3fL6dnWfjAXDQa/nw7nbMH/YC/i7+eDt5MyBkgMpRiqrMolh44e8XmPvvXCasn8DVtKvFzySEKJI0LxfqS43JGXb1Uy8OIYQQohI7czWFe7/ayeXEDNCm4etSi3n3daR9cC0APur7EYFugXg7eRfzSUIU7tS1U2yN3ArAv1f/ZcyaMXzR7wsaejVUOTIhqi6p6RbqS8mVdEtNtxBCCJHPochE7vw8gsuJqTj4rcOjyXvMm9DIlnADtPRtKQm3uGFNazVl0aBFBLgEABCdGs3YtWPZH7Nf3cCEqMIk6RbqC+kJLYdD/R5S0y2EEELksfd8AqO/3EF8RjzO9efh6LsFRZvCRwdexWwxqx2eqIZa+rTk+1u/p7l3cwCSspKY+PtE/rr0l8qRCVE1SdIt1Nf1UbhzIdy/BvSOakcjhBBCVBoHLyUyfsEuUjmPS4NP0LucA0Cv0dO7bm80Go26AYpqy9fZlwXhC+gS2AWADHMGUzdPlcRbiOsgSbcQQgghRCV0LDqJsQt2ku6wF5eQz9EargHg7+zPokGLuL/V/Wg1cionyo+bgxuf3fIZA0MGAmC0GCXxFuI6yJFaCCGEEKKSOX01hXu+2kma8+841/0OjdYIQBvfNnx/6/e08WujcoSipjDoDMzuNZtBIYOAnMR7++XtKkcmRNUhSbdQl6JYX0IIIYQArI8FGzMvghTXn3D0X28bf1uj21gwcAF+LtL/iahYeq2eWb1m2dV4P7n5SY7EHVE5MiGqBkm6hbou7YHXA+D9VrDtI7WjEUIIIVSVmG5k/NfbSXRbhIN3Tk3iEx2e4PUer+Ook75PhDr0Wj2ze83mluBbAEgzpfHoH49yMfmiypEJUflJ0i3UlRYL5kxIvAimDLWjEUIIIVSTZbLw0DfbueQwF4PnvwBoNTpe7f4qD7Z+UDpNE6rTa/W82etN2vu3ByA+I55HNjzCtYxr6gYmRCUnSbdQV3pCzrBzrcLLCSGEENWYoihMW76HA8YP0budAMBB68iHfT9geJPhKkcnRA4nvRMf3/wxDT0bAnAh+QLT/pqGyWJSOTIhKi9JuoW60q/lDEvSLYQQoob6/K/j/B77Fnq3kwA46VyYN+BLwuqFqRuYEAXwdPTk836f4+3kDcCOqB189I/cJihEYSTpFuqyq+n2Ui0MIYQQQi2bjl3mo0Mv5qrhdmbegC/oENBB5ciEKFygWyDv9nkXvUaPBg1uDm4o0jmuEAXSqx2AqOGkebkQQoga7HxcKk9snIHe7RgAeo0jXw74jHb+7dQNTIgS6FS7Ey90fQF/F3961+2tdjhCVFqSdAt1SdIthBCihsowmnn4m72kJXbG2fkoOp2Zz/vNpWNAR7VDE6LERjYdqXYIQlR6knQLdUnSLYQQooZ6bdURjkUnAyF4Jz3FK8Pr0qVOZ7XDEuKGxabH4uvsq3YYQlQack+3UJftERMacPRUMxIhhBCiwqw6cJmlOy8A4GTQ8tXoIfSt31PlqIS4MRbFwjdHvmHg8oFsv7y9+BmEqCEk6Rbqyq7pdvYCreyOQgghqr+1J7czY+MHgLXTqVdva0XTAHdVYxKiLGy8sJE5u+eQac7kxb9fJDkrWe2QhKgUpHm5UNetH0BKDMizHYUQQtQAF5MimbHtGfBOxkkXSX+/x7mzU121wxKiTNwSfAvd63Qn4nIEt9S/BZ1Gp3ZIQlQKknQLdTXso3YEQgghRIWZ8+dqTKSgAZydM3jt9jZoNBq1wxKiTGg1WmZ2m0lMWoz0wC9ELpJ0CyGEEEJUgMOXE1m3oy4W57E4+m3gk1vexcvZWe2whChTddzqUMetjtphCFGpSNIthBBCCFHOMk1mnvrhX4xmBVJaML7TEPo0DlE7LCEqhNFsxKAzqB2GEKqRnquEetIT4MyfcHmf9b5uIYQQohoyWUx8sukUx69YO5VqHujB1H7NVI5KiPJntBhZcmQJ4cvDuZR8Se1whFCNJN1CPVEHYPFt8GUY7JirdjRCCCFEmUvJSmHYL3fw5f4lgIJBp+G9UW1x0MspmKj+Fh9ezFu73+Jq+lXe2/ue2uEIoRo54gv1ZOZ6jISjh3pxCCGEEOVk9q43uZByBoeAFTj4/sGjfRrRPFD+54ma4a7Qu/B28gZgw/kN7I7erXJEQqhDkm6hHrukW55PKoQQonr54/wfrDz9KwCK2ZFAbU8m9W2sclRCVBw3Bzee6PCE7f1bu97CbDGrGJEQ6pCkW6hHarqFEEJUU1fTrjJz+8u29xlXhvLW7X1xMshzi0XNMqzRMJp7NwfgeMJxfjv7m8oRCVHxJOkW6slMyhmWmm4hhBDVhKIovLj9RZKyEgEwJrVkeONhdG3oo3JkQlQ8nVbHs52ftb3/8uCXmBSTihEJUfEk6RbqkeblQgghqqFfT//KtshtAFhM7jhcG8Xzg1uoHJUQ6ukY0JFeQb0AiE6LZk/WHpUjEqJiSdIt1CM13UIIIaqZ2PRY5uyeY3ufcfkOpvXrQC1XBxWjEkJ9k9tPtg1vydhCuildxWiEqFiSdAv1SE23EEKIambWzlkkZ1n/vxkT29HUozNjutRXOSoh1NfSpyX9gvsBkKKk8OPJH1WOSIiKI0m3UE/upNvJU704hBBCiDKw8cJGNpzfAIDF5ErmlaG8PLQFOq1G5ciEqBwmt5uMBuvvYeGRhaQaU1WOSIiKIUm3UE9WrgOt1HQLIYSowtKMaczaOcv2PvPKUIa0bEwX6TxNCJvGtRozMGQgANcyr/HTiZ9UjkiIiiFJt1DPuN/g+Sh4+gToHdWORgghhLhunx/4nJi0GABMKaFoU9vz7MBmKkclROXzQMsHbMOLjyzGaDaqGI0QFUOSbqEejQYcXMA9QO1IhBBCiOt2JvEM3xz5BgDFoicj+jbu7RpCPW8XlSMTovJp6NmQ5nrrc7tj0mJYfXa1yhEJUf4k6RZCCCGEuE6KovDmzjcxWazPHc6K642bNoDHbm6scmRCVF69nHrZhhceWohFsagYjRDlT5JuIYQQQojrtPHCRiKiIgCwZHmRFRfGI2GN8JZHhAlRqGB9MO382gFwOvE0f136S92AhChnknQLdZgyYe2zsOl1OLRc7WiEEEKIUssyZ/HOnnds7zNjbiXA3Z0JPRqoGJUQVcO45uNswz+ekMeHiepNr3YAoobKSIKdn1uHmw6CVneoG48QQghRSnqtnintp/DSX2+TluaFKbkljw1rjLODTu3QhKj0egX1oldQL3oE9WB44+FqhyNEuZKkW6gjK9czuh3d1ItDCCGEuE5ajZa6hh7EHTei0aVTx9OZUTfVUzssIaoErUbL3H5z1Q5DiAohSbdQR+5ndDu4qheHEEIIcQM++OMEKAYUk4FJfRvjqJdabiGEEPbknm6hjqy0nGGDJN1CCCGqDqPF+lzhfRcS2Hz8KgBBXs6M6iS13ELcCOnFXFRXUtMt1JGVkjPsIM8xFUIIUXW8vP1lUo2pxJy/hez6i8l9G+Ogl7oMIa7H8fjjfHfsOw7FHmLZ0GVoNfJbEtWLJN1CHcbcNd2SdAshhKgaziWeY9WZVVgUCxbzTuA56ni6MbJjXbVDE6LKemfPO+yI2gFAxOUIegT1UDkiIcqWXEYS6sjdvNxBOlITQghRNUSmRFLLsRYAxvgegJ6JvRtKLbcQN+Du0LsBcDW4EpUapXI0QpQ9qekW6pDm5UIIIaqgHkE9mNd3ObcuepushM7UcjFwl/RYLsQN6VOvD690f4XwkHBcpa8fUQ1J0i3UIc3LhRBCVFFLIqLIjOsFwPjuDXBxkNMpIW6EXqtnRJMRaochRLmR/xJCHR51oGGY9dFh7rXVjkYIIYQokdiUTL7ffREAFwcd93Wrr3JEQgghKjtJuoU6Wt1hfQkhhBBVwG+nf6Nz7c58G5FIpsn6WKPRnYOp5eqgcmRCVD+pxlQyzZl4O3mrHYoQZUKSbiGEEEKIIlxMusj/tv0PrUaLcq03MACdVsOEng3UDk2IaiU6NZqP/vmIPy78wYgmI3iu83NqhyREmZCuNoUQQgghivD14a+xKBZMFhNpGQYABraqTZCXs8qRCVG9uBhcWH9uPemmdNacWYPRbFQ7JCHKhCTdQgghhBCFiEmLYcWpFQBoFCeyEroCMKFHiHpBCVFNeTh4cEvwLQAkZCbwV+RfKkckRNmQpFuoY8VkmNsdvuoPmSnFlxdCCCFU8M2RbzBarLVtGXFdwOJM27qedAiupXJkQlRPwxoPsw2vPrNaxUiEKDtyT7dQR/xpiDlsHdZJJzRCCCEqn6SsJJYdXwaAFgPG+J4ATOjZAI1Go2ZoQlRbXQK74O3kTXxGPH9d+os0Yxou8nhZUcVJTbdQR1aq9a/WAHpJuoUQQlQ+v5z8hTRTGgCZCR1QzO74uzsyqFWgypEJUX3ptXr61+8PQKY5ky0Xt6gajxBloVIk3XPnzqVBgwY4OTnRsWNHtm7dWmT5pUuX0rZtW1xcXAgMDOT+++8nLi6ugqIVZcJoPYnBQa5cCiGEqHxMFhNLjy61vc/8r5b73q71cdBXitMnIaqt8JBw2/D6c+tVjESIsqH6f40ffviBqVOn8sILL7Bv3z569erFoEGDuHDhQoHl//77b+677z4eeOABDh8+zI8//sju3bt58MEHKzhycUOya7od3NSNQwghhCjAxgsbiUqNAkCb3gIlyw+9VsPdneupHJkQ1V8H/w74OvsC8Hfk36RkSf8/ompTPel+7733eOCBB3jwwQdp3rw5H3zwAfXq1eOzzz4rsPyOHTsICQnh8ccfp0GDBvTs2ZOHH36YPXv2VHDk4oZk/VfTLffoCCGEqIS+OfKNbTglpjsA4S1r4+/upFZIQtQYOq3O1sQ8y5LF5oubVY5IiBujakdqWVlZ7N27l+ees3/w/YABA9i+fXuB83Tv3p0XXniBNWvWMGjQIGJiYvjpp58YMmRIocvJzMwkMzPT9j4pKQkAo9GI0Vi1n/+XHX+VWg9FQZ+VggZQDM6YShl7lVznPKrKOlTGONWOqaKXr/b6ClHRKsM+fzD2IP9e/RcAR0sQyWmNALirUx35LRaiMnxvVVVN23YlXd9b6t7Cd8e+A2Dd2XUMDB5Y7rGVRlX53ipbnGrHU9bLL+nnaBRFUcpkidfh8uXLBAUFsW3bNrp3724bP2vWLBYtWsTx48cLnO+nn37i/vvvJyMjA5PJxG233cZPP/2EwWAosPzLL7/MK6+8km/8t99+i4uL1LRWNK3FyNB/HwAg1i2UbU1eUDkiIYQQIscPqT9w0HgQgPTLd2BKvAl/J4Xn25mRTsuFqBgWxcLbSW+TrCSjQ8dzHs/hrHVWOywh7KSlpTFmzBgSExPx8PAotFyleGRY3sduKIpS6KM4jhw5wuOPP85LL71EeHg4UVFRTJs2jUceeYT58+cXOM+MGTN46qmnbO+TkpKoV68eAwYMKHLjVAVGo5ENGzbQv3//Qi86VDrpCWCtQMDbvy6DBw8u1exVcp3zqCrrUBnjVDumil6+2usrREVTe5+PTY/l5RUvA+Co8SA5qR0AD4SFMqRHSIXHU1Wo/b1VZTVt25VmfY/uPcp3x7/DjBnHFo4Mbli6c8byVFW+t8oWp9rxlPXys1tQF0fVpNvX1xedTkd0dLTd+JiYGAICAgqcZ/bs2fTo0YNp06YB0KZNG1xdXenVqxevv/46gYH5H+Ph6OiIo6NjvvEGg6FS7HxloUqtS7rJNqh1dEF7nXFXqXUuRFVZh8oYp9oxVfTy1V5fISqaWvv8b0d/w6RY/09lXbsJFAMOei2jbqovv8ESkGPV9atp264k6zuwwUC+O25tYr41aivDQ4dXRGilUlW+t8oWp9rxlNXyS/oZqnak5uDgQMeOHdmwYYPd+A0bNtg1N88tLS0NrdY+bJ1OB1hryEUV4OAGA9+CW2ZC6zvVjkYIIYQAwGwx89OJnwDQoCH5akcABreqTS1XBzVDE6JGauvXFi9HLwC2RW4jy5ylbkBCXCfVey9/6qmn+Oqrr1iwYAFHjx7lySef5MKFCzzyyCOAtWn4fffdZys/dOhQfv75Zz777DPOnDnDtm3bePzxx+ncuTN16tRRazVEaTh5QNdHoNdT0GKY2tEIIYQQAGyN3Gp7TJi70grF6A3AqJvkMWFCqEGn1dG7bm8A0kxp7I7erXJEQlwf1e/pvuuuu4iLi+PVV18lKiqKVq1asWbNGurXrw9AVFSU3TO7x48fT3JyMp988glPP/00Xl5e3Hzzzbz11ltqrYIQQgghqoEtF7fYhq9c6gBAPW9nujbwUScgIQR96/Vl5emVAGy+uJkeQT1UjkiI0lM96QaYNGkSkyZNKnDawoUL842bMmUKU6ZMKeeohBBCCFGTvNTtJcJDwnlv+4/sTgkFYGSHemi10mW5EGrpXqc7Bq0Bk8VEfEa82uEIcV0qRdItapjMFEiLA4OLtam5Pn8nd0IIIURF02q0dA3sSszZDCANjQbu6BikdlhC1GguBhc+uvkjmnk3w9fZV+1whLguqt/TLWqgU3/Ah23gncaw83O1oxFCCCFsdp2N53xcGgA9GvlSt5aLyhEJIXoG9ZSEW1RpknSLimfKyBk2yMmMEEIIdRktRtvwj3sv2Ybv7FRXjXCEEEJUM9K8XFQ8Y1rOsMFZvTiEEEIIYPqf00nMSuTWBsNYe9B6auTuqCe8ZW2VIxNC5KUoChbFgk6rUzsUIUpMkm5R8Yy5arr1TurFIYQQosaLS49jy8UtmBQTx2JPk5r1NKBjUOvaOBnkpF6IyuLMtTMsPbqUbZe38VCbhxjRZITaIQlRYtK8XFQ8u5puaV4uhBBCPVGpUdR1tzYjdzd1BayJ9u3tpAM1ISqTpKwklp1YRmRKJNsvb1c7HCFKRZJuUfHs7umWmm4hhBDqaeXbipW3r+TTvl9x5kwbAAI8HOnSUJ7NLURl0sq3Fe4O7ui1eiyKRe1whCgVaV4uKp4xPWdYarqFEEKoTKPRcCkqEGNmLABD29RBJ8/mFqJS0Wv1zBswjwYeDXCR80dRxUjSLSpe7qRb7ukWQghRCfy6P9I2fHt7aVouRGXU0qel2iEIcV2kebmoePLIMCGEECozWUxcSLoAwOVr6ew8Gw9AQz9XWtbxUDM0IYQQ1YzUdIuKZ9eRmtR0CyGEqHg7onbw6B+P0tq3NSHa2wFXwNqBmkYjTcuFqOwsigWLYkGvlXRGVH5S0y0q3sC3YNJOeGgLuMkzUIUQQlS81WdWA3Aw9iDbz16xjb+tbR21QhJClMCBqweY/ud0+vzQhy0Xt6gdjhAlIkm3qHjuAeDfDOq0B72D2tEIIYSoYdJN6Wy8sBEAV7075y4GA9Cunhchvq5qhiaEKMa1zGusPbeWa5nX5NFhosqQpFsIIYQQNcqWi1tIN1k79axj6AyKtXnqsHZSyy1EZdcpoBMGrQFAkm5RZUjSLYQQQogaZc2ZNbbh2Ghrb8gaDQxpHahWSEKIEnIxuNDevz0AkSmRRKZEFjOHEOqTpFtUvP3fwd5FcHiF2pEIIYSoYa5lXOPvyL8B8Hb048Jla98iN9X3xt9DOvcUoiq4qfZNtuHd0btVjESIkpGkW1S8Ta/Bb4/D2mfVjkQIIUQN8/v53zEpJgDqGrqTfSo0sJV07ClEVdG5dmfbsCTdoiqQpFtUPKP1PjoMzurGIYQQosbJ7rUcIOpyc9uwJN1CVB2tfFvhpLO2TNkdvRtFUVSOSIiiSdItKp4pw/pXkm4hhBAVKDo1mn9i/gGgnlsIZyI9AWuv5XW85H+SEFWFg86Btv5tAYhKjZL7ukWlJ0m3qFiKklPTrZd754QQQlScP87/YRuuresKaAAY3FpquYWoaqSJuahKJOkWFctsBP5rAiQ13UIIISrQhvMbbMORkU1tw4NaSa/lQlQ10pmaqEok6RYVK7tpOYDeUb04hBBC1Cix6bHsi9kHWJuWH7/oAkCrIA/qebuoGZoQ4jq08mmFs95agbP7itzXLSo3SbpFxTJl5gxL83IhhBAVZOP5jSj/tbSqrc9pliq13EJUTQadgXZ+7QBrfw2Xki+pG5AQRZCkW1QsqekWQgihgg0XcpqWX4lqYhseJL2WC1Fl2TUxvyJNzEXlJUm3qFh2SbfUdAshhCh/CRkJ7IneA0CgSxCHz7kB0Ky2Ow393NQMTQhxA3In3buid6kYiRBFk6RbVLxaDcA9EJy91Y5ECCFEDbD54mbMihmAYKecXsvDW0ottxBVWUvflrb7uvdd2adyNEIUTq92AKKG8W0CT+xXOwohhBA1SEpWCu4O7iRnJZMY28w2vn+LABWjEkLcKIPWQCvfVuyO3s3l1MtcSb1CgKv8rkXlIzXdQgghhKjW7mt5H3+O+pOPwj7j39MeANT2cKJlHQ+VIxNC3KjsztQA9l2V2m5ROUlNtxBCCCGqPYPOQGZyY7JMewG4pbk/Go1G5aiEEDeqW51uXEq+RDv/drTxbaN2OEIUSJJuIYQQQtQIG49esQ33k6blQlQLN9W+ya5DNSEqI0m6RcU69zds/wQMTtD+XmjcT+2IhBBCVFNGsxGjxYiLwQWzRWHTsRgAXBx0dGvoo3J0QgghagpJukXFSjgPJ9Zahxv0VjcWIYQQ1dq2y9t4esvTdAnsQg+/kcSlZgHQq4kvTgadytEJIYSoKSTpFhVLntMthBCigmy5uIUsSxZbI7eiS+0O1AKgX3NpWi5EdZNuSudQ7CF0Gh0dAjqoHY4QdiTpFhXLlJkzrHdULw4hhBDVno+zD/7O/iRmJXL0dACQhUYDfZv5qx2aEKIMXUm9wsDlAzEpJnoE9eDzgM/VDkkIO/LIMFGxpKZbCCFEBZnSfgp/3PkHn/ReyqkYa9PyDsG18HWTi75CVCf+Lv54OnoCcCDmABbFonJEQtiTmm5RsaSmWwghRAXSaDQcvuBge39Lc6nlFqK60Wg0DG44mDRjGu3822G2mNHqpG5RVB6SdIuKZVfT7axeHEIIIWqMP47kPCqsv9zPLUS1NP2m6WqHIESh5BKQqFjSvFwIIUQ5S8lKIT4jHoDkDCO7z1mHg71daOzvpmZoQgghaiCp6RYVyy7plublQgghyt7qM6t5Y+cbtPVrS3fvcZgsCgB9Q/3QaDQqRyeEEKKmkZpuUbHs7umWmm4hhBBlb8ulLSgo7L+6n4MX023j+4T6qRiVEKIiXMu4xt+Rf5NmTFM7FCFspKZbVKwGvcHgDMYMcPZSOxohhBDVTJoxjV1RuwAIcAlg3ylnIBMHvZauDX3UDU4IUa4+3vcxXx74EoD5A+bTObCzyhEJYSVJt6hY7cZYX0IIIUQ5iIiKIMtifTxYO5/u/LTX2sKqSwNvXBzktEeI6izYPdg2fCD2gCTdotKQ5uVCCCGEqDa2XtpqG3bMamUb7tNUmpYLUd219m1tGz4Ue0jFSISwJ0m3EEIIIaoFRVH4O/JvABx1jpy9FGibFhYqz+cWoroL8QzB1eAKwMHYgypHI0QOSbpFxVIUtSMQQghRTZ2+dporadZncrf368iesykABHk508jPVc3QhBAVQKvR0srH2sIlJi2GK6lXVI5ICCtJukXF+qwHvB4A7zZTOxIhhBDVzLbL22zDtR3akmW2ABAmjwoTosZo7ZeriXmcNDEXlYMk3aJimdKtz+rO/bxuIYQQogxsi8xJupPjG9mG5X5uIWqOVr45fTkcvCpNzEXlIEm3qFjZz+mWZ3QLIYQoQ2nGNPZc2QNAHdc67Dlt7ancoNPQvbGvmqEJISqQdKYmKiNJukXFyq7h1jmoG4cQQohqZc+VPRgtRgBae3fmUrz1/81NId64OcqjwoSoKfxd/PF3sXaceCjuEBbFonJEQkjSLSqayfrsVPSO6sYhhBCiWsndtNzR2MI2LE3Lhah5smu7U42pnEs8p24wQiBJt6ho5v+al+sk6RZCCFF2sjtR02v0XLxcxza+T6gk3ULUNHb3dcujw0QlIEm3qDiKAubsmm5pXi6EEKJsXEy6yPmk8wC08WvLnrPpAPi7OxIa4K5maEIIFbTwyWntciz+mIqRCGElSbeoONkJN0hNtxBCiDKT+1FhIS4dSMsyA9Czsa88KkyIGqi5d3Pb8JG4IypGIoSVJN2i4mT3XA5S0y2EEKLM5L6f25TSxDbcQ3otF6JGquVUi0DXQMBa0y2dqQm1SdItKo7UdAshhChjZouZ/Vf3A+Dj5MOR8262aZJ0C1FzZdd2p5nSuJB0QeVoRE0nz9AQFcfRHcYss9Z4u0rHNkIIIW6cTqvj95G/syd6D9EpcTy3OBmAxv5u1PZ0Ujk6IYRaWvi0YNPFTYC1iXmIZ4i6AYkaTWq6RcXRO0LTcGhxG9TvpnY0QgghqglnvTO96vbCy9INs0UBrPdzCyFqruY+Ofd1H40/qmIkQkhNtxBCCCGqib9PXrUNS9ItRM3W2rc1T3V8ihY+LWjm3UztcEQNJ0m3EEIIIaqFv0/FAqDTaujS0FvlaIQQaqrlVIv7W92vdhhCAJJ0i4qUfg0u77M2M/esC17BakckhBCiCou4HMEvp36hW2A3Qj07c/pqKgDt63nh7mRQOTohhBDCSpJuUXGuHIZvbrcOd38cBrymajhCCCGqti0Xt7D27FrWnl3LXfVeAlwA6bVcCCFE5SJJt6g45tzP6ZZHhgkhhLgxB64eAECn0RF9pQ5wDYCeTSTpFkKA0WzkaPxRjsYdxdfZl1vq36J2SKKGkqRbVByTPKdbCCFE2Vk8eDGHYw9z6top3lyWDoCrg4529bzUDUwIUSnEZcRxz5p7AOhRp4ck3UI18sgwUXHsarod1ItDCCFEtWDQGmjn347WHuHEplj/x3Rt6INBJ6c3QggIcAmglmMtwPrYMEVRVI5I1FRS0y0qjtR0CyGEKAfb/uu1HKC73M8thPiPRqPhgdYPYNAaaOHTQu1wRA0mSbeoOFLTLYQQohzsOBNnG+7eyEfFSIQQlc24luPUDkEISbpFBTLlSrqlplsIIcR1Op90nrd2vUXXwK70DurDzrPxANRyMRAa4K5ydEIIIYQ9SbpFxTHnal4uvZcLIYS4ThGXI9gauZWtkVuJTEwhMb0+AF0a+KDValSOTgghhLAnPY2IimNX0y3Ny4UQQlyfnVE7bcOWtMa24a4NvdUIRwhRySVmJrI7eje/nvpV7VBEDSU13aLimI05w1LTLYQQ4jpYFAu7oncB4OnoyZlIL+AqAN0aSSdqQoj8Jv4+kaPxR9FqtISHhOOkd1I7JFHDSE23qDi9n4H/XYUZl6DRzWpHI4QQogo6kXCCpKwkADoFdGLX2QQAvF0daOLvpmZoQohKqmmtpoD1ot2pa6dUjkbURJJ0i4qj0Vh7LXd0B51B7WiEEEJUQbujd9uG6zq1IjnDBFiblsv93EKIgoR6h9qGj8cfVzESUVNJ0i2EEEKIKmNP9B7bsDG1oW24a0N5VJgQomDZNd0AxxMk6RYVT5JuIYQQQlQJFsXC3pi9gPV+7pOXXG3TJOkWQhQmtJbUdAt1SUdqouIc/AmiD1if0d31UXCRXmaFEEKU3MmEkyRmJgLQwb8Dm/+8BoCP3M8thCiCl5MX/i7+xKTFcDLhJIqioNHI7Sii4kjSXQSz2YzRaCy+oIqMRiN6vZ6MjAzMZrPa4RTtTAScXG8dbnk3aF2u62Oq1DoXoqqsQ2WM02QyyT9KIWqoPVdympYHObUiOTP7fm4fOS4IIYoUWiuUmLQYko3JRKVGUcetjtohiRpEku4CKIpCdHQ0165dUzuUYimKQu3atbl48WLlP+EIuh38B1iHY9Mh/ux1fUyVWudCVJV1qIxxKopCYGAgV65cISgoqNLEJYQof3b3c6c0ALIA6NpImpYLIYoW6h3K1sitgLWJuSTdoiJJ0l2A7ITb398fFxeXSn1Sb7FYSElJwc3NDa22kt+in6ADY4p12CcEdNe3+1WpdS5EVVmHyhin2WwmPj6epKQkdDodgYGBaockhKgAiqKw94r1fm53B3dORboDcQB0ayi3KwkhimZ3X3fCcfoG91UxGlHTSNKdh9lstiXcPj6V/8q5xWIhKysLJyenSpMUFcqgBeW/CxjOzqDVXdfHVKl1LkRVWYfKGKfFYsHd3R0nJydiY2Px9/dHp7u+fUkIUXWcvnaahEzrM7nb+3Xgz63We7t93Rxp5Cf3cwshipa7B/MTCSdUjETURJXjLLoSyb6H28Xl+u43FkWx5AxW4tYDomrI/o1W9n4XhBBlY/eVXM/ndm5FSmbO87krc4s0IUTlEOwRjKPOEZAezEXFqxRJ99y5c2nQoAFOTk507NiRrVu3Flk+MzOTF154gfr16+Po6EijRo1YsGBBmcYk/8DLgaLkeiPbV9wY+Y0KUbPkvp87K6WBbbib3M8thCgBvVZPI69GAFxMvkiGKUPliERNonrS/cMPPzB16lReeOEF9u3bR69evRg0aBAXLlwodJ5Ro0axceNG5s+fz/Hjx/nuu+9o1qxZBUYtrost6dZITbcQQogSUxTF1nO5m8GN05GetmnyfG4hREk19moMgILCmcQzKkcjahLVk+733nuPBx54gAcffJDmzZvzwQcfUK9ePT777LMCy69bt44///yTNWvW0K9fP0JCQujcuTPdu3ev4MhFqSn/NS/X2O92Y8eOZdasWeW22PHjx3P77beX2+dXhJiYGPz8/IiMjFQ7FCGEqHBnE88SnxEPQHv/9uw9dw0Af3dHGvq6qhiZEKIqaeLVxDZ86topFSMRNY2qSXdWVhZ79+5lwIABduMHDBjA9u3bC5xn5cqVdOrUiTlz5hAUFETTpk155plnSE9Pr4iQK637778fjUZje/n4+DBw4EAOHDhQYPmHHnoInU7H999/n29aamoqzz77LA0bNsTJyQk/Pz/CwsJYtWqVrUxYWJjd8rJfjzzySBFR/lfTnauW+8CBA6xevZopU6Zc13pXtILWOfdr/Pjx5bJcf39/xo4dy8yZM8vl84UQolLTwNCGQ6ntWpsgp1akZpkB6NxA7ucWQpRcdvNykKRbVCxVey+PjY3FbDYTEBBgNz4gIIDo6OgC5zlz5gx///03Tk5O/PLLL8TGxjJp0iTi4+MLva87MzOTzMxM2/ukpCTA2gFT3k6YjEYjiqJgsViwWCxUdkqu+6TDw8Nt2yA6OpoXX3yRW2+9lXPnztnNk5aWxg8//MAzzzzDV199xahRo+ymP/zww+zevZuPPvqIFi1aEBcXR0REBFevXrXbJg8++CCvvPKK3bwuLi6FbjeNwRV0DqDRovxX5uOPP2bkyJG4urqWeHsrisLFixdp0aJFieZRFMX2nd6o3DXNy5YtY+bMmRw9etQ2ztnZ2W45RqMRg8FQYEzZf0sa17hx4+jatStvvfUWtWrVut5VKJXribO85Y5JURSMRmOF9l6efcyoqA7cKnp5QqitoH2+nks9Xun6CoqiMH/bGeA0AJ2CPeW3UUnIser61bRtp+b6hriF2IZPxp+8oRiqyvdW2eJUO56yXn5JP6dSPDIs71VqRVEKvXJtsVjQaDQsXboUT0/rPV3vvfceI0eO5NNPP8XZ2TnfPLNnz86XHAL8/vvv+Xop1+v11K5dm5SUFLKysq53lSpcduKRvT4NGzZk8uTJDBkyhDNnzuDr62sr+9133xEaGsqkSZNo3rw5hw4dIjg42Db9t99+480336Rnz54AeHt706SJtTlO9gULk8mEXq8vsJf37DL5aL1y2lYkJWGxWPjxxx/54osv7Ob54Ycf+Pzzzzl16hQuLi706tWL2bNn4+fnZyvTrl07evXqxd13383QoUNxdS28eaHRaMRkMtmWsX//fu68804efvhhnnnmmULnK0ju9XVwcLAbd+HCBdq2bcuCBQuYP38+e/bs4d133+XixYusXr3aroPAzz77jM8++8yuJcLSpUv56KOPOH/+PMHBwTz00EM8+OCDtun169fH39+f7777jnvvvbdUcd+o5OTkCl1eSaSmppKens5ff/2FyWSq8OVv2LChWi9PCLUVts+vOaYl+59J+oVDrIk7VIFRieLIser61bRtp8b6KoqCI45kksnBqIOsWbPmhj+zqnxvlS1OteMpq+WnpaWVqJyqSbevry86nS5frXZMTEy+2u9sgYGBBAUF2RJugObNm6MoCpcuXbIlh7nNmDGDp556yvY+KSmJevXqMWDAADw8POzKZmRkcPHiRdzc3HBycgLgtk+3EZucSUXzdXdk5eQeRZZRFIXk5GQMBgN6vd62PikpKfz66680btyYkJAQu2csf/fdd9x3333Uq1ePQYMG8dNPP/Hyyy/bpgcGBrJ582bGjBmDu7t7gcvV6/U4ODjk236lsX//fhITE+ndu7fd5+h0Ol5//XVCQ0OJiYnh6aef5vHHH2f16tW2dd6xYwc///wzs2fPZtq0aYwcOZL77ruP3r1757tgk3vbbNmyhREjRvDGG2/w6KOPArB161aGDBlSZKwzZsxgxowZduOcnJzQaDS22N3crM+JffXVV3n77bdp3749jo6OzJs3D51OZ7eOjo7WR1a4u7uj0WiYN28eb7zxBh999BHt27dn3759PPzww/j4+DBu3DjbfF26dGHPnj1MmjSpVNv6emXvX9lxVgbZMbm6uuLs7Ezv3r1tv9WKYDQa2bBhA/379y+wFUNVX54Qaitqn7dYFF7+dwtgxNNZz4Q7+qPVVo5jU00nx6rrV9O2ndrrqzmrwcvRi0ZejQhwKTjfKAm116OkKlucasdT1ssvtLIxD1WTbgcHBzp27MiGDRsYPny4bfyGDRsYNmxYgfP06NGDH3/8kZSUFFuSc+LECbRaLXXr1i1wHkdHR1uSk5vBYMi3sc1mMxqNBq1Wa0tUY5OziE6q+KQbNHbJckFyN/ldvXq1LbFLTU0lMDCQVatWodfnfM0nT560JaxarZaxY8fy+OOP8/LLL9uW9eWXX3LPPffg5+dH27Zt6dmzJyNHjqRHD/sLAJ999hnz58+3G/fpp5/aJYlFuXDhAjqdjtq1a9sldLlrdxs3bsxHH31E586dSUtLw83NDYvFQpMmTXjjjTeYNWsWW7ZsYfHixQwbNgxfX1/uu+8+xo0bR4MG1kfKZN9v/dtvvzF27Fi++OILRo8ebVtG586d2b9/f5Gxent75/sust/n/Tt16lRGjhxpK5e9brnnzx6Xva+98cYbvPvuu7b5GjVqxLFjx5g3bx7333+/bb66deuyb9++YveLspK9f2XHWRnkjkmj0RT4O64IFb1ctdZTCLVk7/PRqdG4Gdxwc3Dj5JVkEtKsTfluCvHG0dFB5ShFXnKsun41bduptb7DmhacY1yvqvK9VbY41Y6nrJZf0s9QvXn5U089xdixY+nUqRPdunXjyy+/5MKFC7YOuWbMmEFkZCSLFy8GYMyYMbz22mvcf//9vPLKK8TGxjJt2jQmTJhQYNPysuDnnj9hrwilXW7fvn1tvb7Hx8czd+5cBg0axK5du6hfvz4A8+fPJzw83NbcfPDgwTzwwAP88ccftg7tevfuzZkzZ9ixYwfbtm1j06ZNfPjhh7zyyiu8+OKLtuXdc889vPDCC3Yx+Pv7lzje9PR0HB0d89Wg7tu3j5dffpn9+/cTHx9vS7IuXLhAixYt7MpqNBr69u1L3759+fDDD3n00Ud55ZVX2L9/PytWrLCV27lzJ6tWreLHH3+0u8AD1vuwGzduXOK4i9OpU6dSlb969SoXL17kgQceYOLEibbxJpPJrkUHWGMtaTMWIYSoDj745wPWnl1Lc+/m9PHKuSXophBvFaMSQgghSk71pPuuu+4iLi6OV199laioKFq1asWaNWtsSWJUVJTdM7vd3NzYsGEDU6ZMoVOnTvj4+DBq1Chef/31covxtyk9y+2zy5Krq6td8tixY0c8PT2ZN28er7/+OmazmcWLFxMdHW1X+202m5k/f75dL/IGg4FevXrRq1cvnnvuOV5//XVeffVVnn32Wdu9zJ6eniVPVhULXD0OaMDBFbzq4evrS1paGllZWbbPTE1NZcCAAQwYMIAlS5bg5+fHhQsXCA8PL/Qe+3/++YdvvvmGb7/9Fo1Gw1NPPWVXWw7WmmMfHx8WLFjAkCFDbMsDa/PyQYMGFRn+888/z/PPP1+iVc17f7lWq7Xr8A7sO13Ivqgwb948unTpYlcubwdh8fHxdve2CyFEdbfvyj4sioXT107jn5xzLL2pgSTdQgghqgbVk26ASZMmFXqP6sKFC/ONa9asmeo331cF2U2Csx+ntmbNGpKTk9m3b59dMnfs2DHuuece4uLi8PHxKfCzWrRogclkIiMjwy5hLTHFAqYM67DOutu1a9cOgCNHjtiGjx07RmxsLG+++Sb16tUDYM+ePfk+LjIyks8//5xvvvmG06dPM3ToUObPn8/AgQPtLihk8/X15eeffyYsLIy77rqLZcuW2ZqDdOrUqUTNy6+Xn58f0dHRdh0E5l5eQEAAQUFBnDlzhnvuuafIzzp06BBhYWHXHYsQQlQlRrORXnV78U/MP3g7erN3n7VTRyeDllZ1PIuZWwgh8lMUhYOxBzl17RRZ5izubna32iGJGqBSJN2ibGRmZto6pUtISOCTTz4hJSWFoUOHAtam5UOGDKFt27Z287Vs2ZKpU6eyZMkSnnjiCcLCwhg9erStJcGRI0d4/vnn6du3r11nYGlpafk6wXN0dCz4cVZ2Nb3WxNPPz48OHTrw999/25Lu4OBgHBwc+Pjjj3nkkUc4dOgQr732Wr6Pa9OmDZ06dWLy5MmMHj26RI/Q8vf3Z9OmTfTt25fRo0fz/fffo9fry7x5eV5hYWFcvXqVOXPmMHLkSNatW8e6detsfRIAvPzyyzz++ON4eHgwaNAgMjMz2bNnDwkJCbZOANPS0ti7dy+zZs0qt1iFEKIyMegM/K/r/wA4H5dEn83Wp0B0CK6Fg75y9DMhhKhaNBoNUzZNIT4jHh8nH0m6RYWQ/1jVyLp16wgMDCQwMJAuXbqwe/dufvzxR8LCwrhy5QqrV6/mjjvuyDefRqNhxIgRtk7RwsPDWbRoEQMGDKB58+ZMmTKF8PBwli1bZjffvHnzbMvLfuXuoMxO7qRbk7PbPfTQQyxdutT23s/Pj4ULF/Ljjz/SokUL3nzzTd555518HxcREUFERASTJk0q1TOra9euzaZNmzh48CD33HMPZrO5xPNer+bNmzN37lw+/fRT2rZty65du3j66aftyjz44IN89dVXLFy4kNatW9OnTx8WLlxo6wwO4NdffyU4OJhevXqVe8xCCFHZ/HMhp4dYuZ9bCHEjGntZK1viMuJIyEhQORpRE0hNdzXx9ddfs2jRokKnBwQEFPnw9o8++sg2XNDjsfLasmVLKSPM6WWdXB2njRs3jlmzZhEREUG3bt0AGD16dL7kPe890U2bNi3xkvPeohAYGMjx48dLPH9hxo8fz/jx423vQ0JC8sWZ7ZFHHrF1DgjW+7gnT55sV2bMmDGMGTOm0OW9//77vPTSSzcWtBBCVFG7zuacGHeW+7mFEDdgZNOR9K3Xl8a1GuNicFE7HFEDSNItKkYBzcvB+qzrxYsXExsbW/ExVSExMTGMHDmy8JYEQghRzWSaM0k0JeLrbH3axu5z8QDotRraB3upGJkQoqob1KDoDnSFKGuSdIuKUUjzcoA+ffpUcDBVj7+/P9OnT1c7DCGEqDB7ruxhypYp1Peoz9jQiZyKsZ6ytAryxMVBTl+EEEJUHXJPt6gguZNuTeHFhBBCCGD/1f0AnE86z7nYDNt4aVouhBCiqpGkW1QMpeB7uoUQQoiCZCfdANcSgmzD0omaEKIsJGUlsS9mHz+f/LnQPnmEKCvSPktUDLuDmVzrEUIIUTiTYuJQ3CEAgtyCOHwxZ1qn+iV/YoUQQhRm2p/T2H55OwC9gnrh5+KnckSiOpPsR1QMvSN41AH3QHB0VzsaIYQQlViUOYpMcyYArX3bcfiy9XFhoQHu1HJ1UDM0IUQ1kf3YMICT106qGImoCSTpFhVD7whuAeBeGxzd1I5GCCFEJXbedN42XEsbitlibS11UwOp5RZClI3cSfephFMqRiJqAkm6hRBCCFGp5E6605Pq2Yblfm4hRFmxS7qvSdItytcNJd2ZmZllFYeooTZt2kSzZs2wWCzFF74OW7ZsQaPRcO3atXL5/MokLCwMLy8v3nrrLbVDuSGZmZkEBwezd+9etUMRQqhAURTOm61Jt6ejJycjXWzTpOdyIURZaejV0DZ8JvGMipGImqBUSff69esZP348jRo1wmAw4OLigru7O3369OGNN97g8uXL5RWnKEZMTAwPP/wwwcHBODo6Urt2bcLDw4mIiLArt337dgYPHkytWrVwcnKidevWvPvuu5jNZrtyGo0m36tnz56MHz++wGm5XwWymMGUBWajXU/m06dP54UXXkCrrfyNLq573SvIzz//zMsvv8zzzz/PxYsXi5+hGGFhYeh0OmrVqoVOp0Oj0XD33XfblUlISGDs2LF4enri6enJ2LFji73AoSgKL7/8MnXq1MHZ2ZmwsDAOHz5sm+7o6MgzzzzDs88+e8PrIISoes4lnSNNSQOgrW87/r1ovZ87yMuZQE9nNUMTQlQjrgZXAlwCAGvSLT2Yi/JUokxnxYoVhIaGMm7cOLRaLdOmTePnn39m/fr1zJ8/nz59+vDHH3/QsGFDHnnkEa5evVrecYs87rzzTv79918WLVrEiRMnWLlyJWFhYcTHx9vK/PLLL/Tp04e6deuyefNmjh07xhNPPMEbb7zB3Xffne9g8/XXXxMVFWV7rVy5kg8//NBuXEHlCpQWBzGH4cohSL8GWC8AnDx5kjvvvLNU63rp0iVVDoylXfesrKwKjc/b25upU6fSoEEDvv322zL5zAcffJBjx44RGRlJVFQUX3zxhd30MWPGsH//ftatW8e6devYv38/Y8eOLfIz58yZw3vvvccnn3zC7t27qV27Nv379yc5OdlW5p577mHr1q0cPXq0TNZDCFF15H5UWJBzC9KN1ovCHaTXciFEGWvk1QiA5Kxk4jLiVI5GVGclemTYrFmzeOeddxgyZEiBNZKjRo0CIDIykg8//JDFixfz9NNPl22kolCJiYn8/fffbNmyhT59+gBQv359OnfubCuTmprKxIkTue222/jyyy9t4x988EECAgK47bbbWLZsGXfddZdtmpeXF7Vr1863PE9PT7v3hZWzkztJ1lj3oe+//54BAwbg5ORkm3T69GmeeuopduzYQWpqKs2bN2f27Nn069fPVuall15i8+bNjBs3jvHjx9OwYU7zoOKkp6czcuRI4uLiWLNmDd7eJW+qmF2bm1vudQ8LC6NVq1Y4ODiwePFiWrZsyaJFi2jQoAH79u2jXbt2AFy7do1atWrx22+/MXjwYACOHDnCM888w19//YWrqysDBgzg/fffx9fXt8TxZevUqRNLly4tk5piFxcXAgIC8PDwyPfbP3r0KOvWrWPHjh106dIFgHnz5tGtWzeOHz9OaGhovs9TFIUPPviAF154gREjRgCwaNEiAgIC+Pbbb3n44YcB8PHxoXv37nz33Xe8+uqrN7weQoiqI3fSTUYDwNo6qmOwlxrhCCGqsYaeDW2PDTtz7Qy+zqU/7xKiJEpU071r1y6GDh1abBPgoKAg5syZIwl3BXN1dcXNzY0VK1YUep/977//TlxcHM8880y+aUOHDqVp06Z899135Rhlrnu2/2uG/ddff9GpUye7UikpKQwePJg//viDffv2ER4eztChQ7lw4YKtzIcffsi0adP466+/aNKkCb1792b+/Pl2NaUFSUxMZMCAAWRlZbFx40Zbwt2yZUvc3NwKfbVs2bLEa7lo0SL0ej3btm3LVytcmKioKPr06UO7du3Ys2cP69at48qVK7aLWaURHx/Pb7/9xsGDBzlw4IDdtFmzZhW5nm5ubmzdutVunm+//ZZGjRrRunVrnnnmGbttHBERgaenpy3hBujatSuenp5s3769wPjOnj1LdHQ0AwYMsI1zdHSkT58++ebp3LlzvniEENXfvqv7AHDQOnD5io9tfMf6cj+3EKJsNfBsYBuW+7pFeSpRTXdu6enpODsXfE9VVFQUgYGBNxxUpbT9E4j4tPhygW1hzPf24769G6L+LX7ebpOh+2OlDk2v17NgwQIefvhhPv/8czp06ECfPn24++67adOmDQAnTpwAoHnz5gV+RrNmzWxlso0ePRqdTmd7v2TJEm6//fZSxwcUWNN97tw56tSpY1esbdu2tG3b1vb+9ddf55dffmHlypU89ph127i7u3PvvfcyadIkLl68yDfffMOcOXN4/PHHGT58OOPGjaNfv35291hfuXKFu+66i0aNGvHdd9/h4JDznNc1a9ZgNBoLDd1gMJR4NRs3bsycOXNs78+dO1fsPJ999hkdOnRg1qxZtnELFiygXr16nDhxgqZNm5Z4+V988QV+fn7UqlWLJUuW2MXyyCOPFJvIBwUF2Ybvuece6tevj5ubG+fOneOFF17g33//ZcOGDQBER0fj7++f7zP8/f2Jjo4u8POzxwcEBNiNDwgI4Pz583bjgoKCSrT9hBDVx9W0q1xKuQRAS5+W7DuQAoCzQUezQHc1QxNCVEMNPXNaS56+dlrFSER1V+qku3379nz77bd06NDBbvxPP/3Eo48+Wn3v585MhuQSdBTnGZR/XFpsyebNLLqmtih33HEHQ4cOZevWrURERLBu3TrmzJnDV199xfjx423lCrsXWlGUfB2Bvf/++3bNum/ogordcq3LSU9Pt2taDtZm8K+88gqrVq3i8uXLmEwm0tPT7Wq6c6tfvz7/+9//+N///seiRYt47LHHWLp0KQkJCXh5ednK9evXj5tuuolly5bZXUjI/oyykrfmviT27t3L5s2bcXPL//zy06dPlzjpNplMzJ07lyeffBKNRsO7777Lm2++aWuh4u3tXarm9BMnTsRisZCUlETXrl0JDQ2lU6dO/PPPP7bff0GdxxW0L+WVd3pB8zg7O5OWllbieIUQVV/upuWNPVrx17V0ANrV88Kgq/wdbgohqpbse7oBziaeVTESUd2V+j9Y//796d69O2+++SaKopCSksL48eMZN24cL730UnnEWDk4uoN7neJfLgXcC+LiW7J5HW/sKr6TkxP9+/fnpZdeYvv27YwfP56ZM2cC2BK3wjqmOnbsGE2aNLEbV7t2bRo3bmx7ubq63kB0+ZuX+/r6kpCQYFdq2rRpLF++nDfeeIOtW7eyf/9+WrduXWinZLGxsXzyySd07tyZiRMncvPNN7N8+fJ8914PGTKErVu3cuTIkXyfUZbNy/Nuo+yEN/fFjry16haLhaFDh7J//36718mTJ+ndu3eJl/3jjz+SlJTEgw8+yOjRo4mOjmbLli226dfTvDy3Dh06YDAYOHnyJGDdP65cuZKv3NWrV/PVZGfLvv89b014TExMvnni4+Px8/Mr0boLIaqH/TH7bcOO5pwaqI7SiZoQohzUcqpFLUfr8UWal4vyVOqa7o8//pghQ4Zw//33s3r1ai5fvoyHhwe7d++mRYsW5RFj5dD9setq+g3kb25eQVq0aMGKFSsAGDBgAN7e3rz77rt0797drtzKlSs5efIkr732WvkFU0Dz8vbt2+dLgrdu3cr48eMZPnw4YL3HO28T48zMTH799Vd++ukn1q9fT8uWLRk3bhyrV68uNEl78803cXNz45ZbbmHLli12+2pZNi/PKzueqKgo2rdvD8D+/fvtynTo0IHly5cTEhKCXl/qn6TNhx9+yIMPPoiHhwceHh7069ePJUuWcPPNNwOlb16e1+HDhzEajbYWD926dSMxMZFdu3bZOu3buXMniYmJ+faxbA0aNKB27dps2LDBtj2ysrL4888/8z1f/NChQ7YyQoia4d+rObdiXYsPBK4BknQLIcpPA88GJMQkcDX9KslZybg7yK0souxd1xn+gAEDGDFiBJ999hl6vZ7ffvuteifclVx8fDwjRoxgwoQJtGnTBnd3d/bs2cOcOXMYNmwYYK2B/eKLL7j77rt56KGHeOyxx/Dw8GDjxo1MmzaNkSNHXlfHXSVWQPPy8PBwFi1aZFescePG/PzzzwwdOhSNRsOLL76IxWKxKzN58mRWr17NmDFjeOONN2z3rRfnnXfewWw2c/PNN7NlyxaaNWsGlG3z8rycnZ3p2rUrb775JiEhIcTGxvK///3PrszkyZOZN28eo0ePZtq0afj6+nLq1Cm+//575s2bl685fEEiIiLYs2cPP/zwg23c2LFjmTRpEnPnzsXJyalUzctPnz7N0qVLGThwIE5OTly4cIFp06bRvn17evToAVj7Bxg4cCATJ060dRr30EMPceutt9r1XN6sWTNmz57N8OHD0Wg0TJ06lVmzZtGkSROaNGnCrFmzcHFxYcyYMXYxbN26tXwvBAkhKpUscxZH4qwXYn20PhyOzDn2t5eey4UQ5aShV0P+ifkHsNZ2t/VrW8wcQpReqZuXnz59mm7durFq1SrWr1/P9OnTGTZsGNOnTy+ytlCUH1dXVzp37sz7779P7969adWqFS+++CITJ07kk08+sZUbOXIkmzdv5uLFi/Tu3ZvQ0FDee+89XnjhBb7//v/t3Xl8VNX9//HXrNkXskBIWMK+y46ColIQFXexKohLi/3V0toq/bZ1aStaK9ZWv1gVl29R6lJwqVVrVaCuuCMCgmyyhDUsgezLZJb7++MmkwwJEMhM7iR5P33kwZ07d+5935mJmc+cc89ZfNzrcJvFaNi9fMaMGaxfv55NmzYF7/rf//1fOnTowLhx47jooos499xzG4wfcNttt/Htt9/y4IMPNrngrr//K6+8ku9973sNBo6LlKeffhqv18uoUaP4xS9+wb333htyf3Z2Np988gl+v59zzz2XwYMH84tf/IKUlJRg9/SFCxce8/V5+OGHmTp1asgXCJdddhmBQIA33njjhDO73W7effddzj//fEaPHs0tt9zC5MmT+e9//xvyJcALL7zAkCFDmDx5MpMnT+aUU07hueeeC9nXpk2bKC4uDt7+9a9/zS233MKsWbMYNWoUe/bsYenSpSQl1X2z/Nlnn1FcXMwVV1xxwtlFpHWy2+w8ec6T3Dz0Zka5TmX9XnOck94dE0mNdx/n0SIiJ6f+YGrbitTFXCLjhFu6hw0bxgUXXMCSJUtITU3lnHPOYcqUKVx33XUsW7aMVatWRSKnHENMTAz33Xcf999//3G3HT9+PG+//fZxtzvagGsnux007F7eoUMHfvazn/HQQw8FW0pzc3N57733Qh7505/+NOR27969KSkpadJRzz777AYZ//rXv/LXv/61ibmP7sj91r9+ur4BAwbw2Wefhazz+/0h59CnTx9effXVox4rLy8vOAd7YxYvbngJQ3x8/HGnUTuarl278uGHHwYHUmtsnm4wB2d7/vnnj7mvI58nm83GnDlzmDNnzlEf89BDD/GrX/3qqDMliEjb47Q7GZ01mmHpw3hk7Vv4Aub/O0Z2U9dyEYmcXil1g6npum6JlBNu6Z4/fz6LFy8OGRl63LhxrFq1qkGLpEhQchfI7A8ZfcFe11J655130r17d/x+v4Xhot+SJUtCpv9qyzweD0OHDuXWW2+1OoqIWGR7aV3PHl3PLSKR1DO1Xku3im6JkBNu6b722msbXZ+UlMSCBQuaHUjaKGfjXQNTUlK44447WjhM63NkS3lbFhMT0+C6dxFpX+oX3SNUdItIBHWK78T/jPofeqT0oHdqb6vjSBt18kMli4iIiIRBQWUBS/KWMCxzGLmJucGiOzXeRa/M5kxXKSJybDabjesHXW91DGnjVHSLiIiIpVbsW8H9X5rjkny/5w2U+8zZJUZ26xDZQT5FRERagIpuaRmVheYI5jY7xKmroIiI1Kk/P7ejOje4rK7lIiLSFqjolpZRkg9+D9gcKrpFRCTE9/t+n25J3Vh9cDWH9mcBRYAGURORllHtr2Zz4Wa2FW8jMy6TsdljrY4kbYyKbmkhNdNGqZugiIgcoVdqL3ql9mL6gOmc89AHADjsNoZ2SbU0l4i0D3vL9jLtP9MAOKf7OSq6JeyaVHTfc889J7Xzs88+mzPPPPOkHittjBEw/7Wd8Cx1IiLSThRXevnuQDkAAzsnEed2HOcRIiLN1yWpCy67C2/Ay/bi7VbHkTaoSUX39u0n9+YbNmzYST1O2iCjpqUbtXSLiEjjVu0sDC4P75pqXRARaVecdic3DLqBlJgU+qT2sTqOtEFNKrqfeeaZSOeQNk/dy0VEpKGleUvpENuBQemDWLmjruge2S3VulAi0u78fMTPrY4gbZj6+krLCHYvP3bRXV1dTe/evfnkk08iFiU3N5d58+ZFbP8t4c0332T48OEEAgGro4iInDTDMPjjF3/kh0t+yPmvns9XOw4H7xuuoltERNoIFd1txA9+8AMuvfTSBus/+OADbDYbRUVFDe7r168fbrebPXv2NLjv7LPPxmazYbPZcLvd9OrVi9tvvx2PxxOyXe02NpuNhIQE+vTpww033MDKlSvrNgp2LYfjveWeeuopunfvzumnn37M7aJB7XN7rJ+FCxdG5NgXXnghNpuNf/zjHxHZv4hIS9hdupvDVWahPSBtIGt2FQOQ6jbonBJrZTQREZGwUdHdTn388cdUVVXx/e9//6iF4Y9+9CPy8/PZsmULDzzwAI899hhz5sxpsN0zzzxDfn4+3377LY899hhlZWWceuqpPPvss+YGRr3W2OO0dD/yyCPceOONJ3QuRUVFlJSUnNBjwmHcuHHk5+cHf6688krOO++8kHVXXXVVcHu/3x/Wlukf/OAHPPLII2Hbn4hIS1t9cHVwOTu2PxXVfgB6JBlHeYSISOSUVpey9uBaVh9YbXUUaWNUdLdTCxYsYPr06Vx77bU8/fTTGEbDDzjx8fFkZWXRrVs3pk6dyjnnnMPSpUsbbJeamkpWVha5ublMnjyZV155hWuuuYaf/exnFBYWEryeG45ZdH/99dds2bKFCy64IGT9b37zG/r27Ut8fDw9e/bk97//PV6vN3j/mjVryMrKYsaMGSxbtuyEC9tnnnmGlJQUli1bdkKPc7vdZGVlBX/i4uKIiYkJ3n7nnXfo3Lkzb775JgMHDiQmJoYdO3Zw9tlnc+utt4bs69JLL+WGG24I3q6urubXv/41OTk5JCQkcOqpp/LBBx+EPObiiy/myy+/ZNu2bSeUW0QkWqw5uKbuhqd7cFFFt4i0tApvBeMWjWP6W9P5y1d/sTqOtDGap7uJ/v7t33l2/bPN3s/94+9ndNbo4O0V+1Zw2/LbALhu4HVcP+j6Zh/jeEpLS3n55Zf54osv6N+/P+Xl5XzwwQdMmDDhqI9Zs2YNn3zyCbm5uU06xq233sqzzz7LsmXLuHLq5eBwmy3e9qO/5T766CP69u1LcnJyyPqkpCQWLlxIdnY2a9eu5Uc/+hEul4vf/e53AJx55pm8/fbbPPvss1xxxRUkJydz7bXXcv3119OvX79j5vzLX/7C3LlzWbJkCaeddhoA9913H/fdd98xH/f2228zfvz44z4PFRUVzJ07l7/97W+kp6fTsWPH4z4GzFbsvLw8Fi9eTHZ2Nv/6178477zzWLt2LX36mKNqdu/enY4dO7J8+XJ69uzZpP2KiEST2qLbbrOz/2BHwBxITUW3iLS0eFc8neI7sb9iP3kleVbHkTamyUX3l19+yciRI3E4zDkzDcPAVq/V0uPx8Prrr3PllVeGP2UUKPeWc6DiQLP3U+2vbnC7dr/l3vJm7fvNN98kMTExZJ3f72+w3eLFi+nTpw+DBg0C4Oqrr2bBggUNiu758+fzt7/9Da/XS3V1NXa7nccee6xJWfr37w9AXl4eOJzQadBxH5OXl0d2dnaD9b/97W+Dy7m5ucyePZtFixYFi26bzcZZZ53FWWedxaOPPsprr73Gs88+y5///GdGjhzJ9ddfz/Tp00lJSQnZ7+23387f//53PvjgA4YMGRJcf9NNNx33fZyTk3Pc8wHwer3Mnz+foUOHNml7gK1bt7Jo0SJ2794dfD7+53/+h3feeYdnnnkm5AuBnJwc8zkWEWllyr3lbC7cDEDv1N6s2VAFQJzLTk68lclEpL3KTcllf8V+ij3FFFYV0iG2g9WRpI1octE9duxY8vPzgy11KSkprF69OtjCVlRUxLRp09ps0Z3gSqBjfNNaKY/F7XA3uF273wRXQrP2PWHCBB5//PGQdV988QUzZswIWbdgwYKQdTNmzODMM8+kqKiI1NTU4PprrrmGO++8k5KSEv70pz+RnJzM1KlTm5Sltru67QSmCKusrCQ2tuHAOa+88grz5s1jy5YtlJWV4fP5SEpKanQfcXFxTJs2jWnTprF582amTZvGrFmz8Hg83HLLLcHtHnzwQcrLy/nqq68atBKnpaWRlpbW5NzH4na7OeWUU07oMV9//TWGYdC3b9+Q9R6Ph/T09JB1cXFxVFRUNDuniEhLW1ewjkDNmB99U4ewsrASgFO6pOCwH7Qymoi0U7nJuXyR/wUA24u3q+iWsGly0X3kNb+NXQPc2Lq24vpB10ek6/forNG8+/13w7KvhIQEevfuHbJu9+7dIbfXr1/PF198wYoVK/jNb34TXO/3+1m0aBE/+clPgutSUlKC+3v++ecZNGgQCxYsYObMmcfNsmHDBgB69OjR5PwZGRmsXbs2ZN3nn3/O1Vdfzd133825555LSkoKixYt4sEHH2x0Hz6fj2XLlvHss8/y+uuv07NnT/70pz9xzTXXhGw3fvx4/vOf//DSSy9x2223hdwXzu7lcXFxDb54sNvtDX5X6l+jHggEcDgcrFy5MtizpNaRPRkOHz5MZmbmcXOIiESb+tdzxwfqvvwc0TUVvCq6RaTl9Uip+9yaV5LHiE4jLEwjbUlYr+k+kVZNscaCBQs488wzG3QTf+6551iwYEFI0V2fy+Xijjvu4Pbbb2fatGnExx+779+8efNITk5m0qRJTc42fPhwHn/88ZBLFz755BO6d+/OnXfeGdxux44dDR67atUqnn32WRYtWoTP52PatGl89NFHjBo1qtFjjRkzhptvvplzzz0Xh8PBr371q+B94exe3pjMzEzy8/ODt/1+P+vWrQt27x8+fDh+v58DBw4cs7Cvqqpi69atDB8+/KSziIhYpf7owKXFOYDZvXx4t1Qqt1qTSUTatx7J9Yru4jzrgkibo4HU2hGv18tzzz3HPffcw+DBg0Puu/HGG3nggQdYs2bNUa8/nj59OnfccQfz58/nf/7nf4Lri4qK2LdvHx6Ph82bN/Pkk08Gr6tOTU0FbxWU7gXsEJsM8Y133Z4wYQLl5eV8++23wXy9e/dm586dLF68mNGjR/Of//yH1157LeRxy5cvZ+LEiZx//vnMnz+fCy+8ELfb3cgRQo0dO5a3336b8847D6fTGRxRPJzdyxvzve99j9mzZ7NkyRKGDBnCww8/HDKPet++fbnmmmu47rrrePDBBxk+fDgFBQW89957DBkyhClTpgBmL4CYmBjGjh0bsawiIpFgGAbfFHwDQIeYDmzaHUNt0T2sawqfqegWEQvkpuQGl7cXb7cuiLQ5J1R0r1+/nn379gHmH8yNGzdSVlYGQEFBQfjTSVi98cYbHDp0iMsuu6zBfX369GHIkCEsWLCAv/71r40+3u1287Of/YwHHniAm266KdjV+Qc/+AEAsbGx5OTkcMYZZ/Dll18yYkRNl5yAF6qKzWXn0Yvh9PR0Lr/8cl544QXmzp0LwCWXXMKtt97Kz372MzweDxdccAG//e1vQ+YLHzhwIHv27Dmpbtann346//nPf5gyZQoOh4Of//znJ7yPE/XDH/6Q1atX85Of/ASXy8Wtt97aYBC7Z555hnvvvZdf/vKX7Nmzh/T0dMaOHRssuAEWLVrENddcc9xeByIi0SavJI9ij/l3YXDGKSxbWwJAr8wEOsQf/0tTEZFIyErIItYRS5W/SiOYS1idUNE9ceLEkGtRL7zwQsDsVn7kaObSsp555hns9obTrp999tnB12zq1KmNjmZe65tvvgkuHzkndK077riDO+64I3i7Sdfxh2xz7PfIHXfcwaRJk7jjjjuCg6U98MADPPDAA8FtAoFAsNAHGgwudjxHjvZ95plnBr88ao6FCxeG3L7hhhtC5t6u5XK5eOyxx5g7dy7JycmNvm4ul4u7776bu+++u9FjHTx4kFdeeYWvvvqq2blFRFpa/a7lHd198frNvxMju2vQIhGxjt1mp3tydzYVbmJ36W68AS8uu8vqWNIGNLno3r5dXSzkJNWMTgvAcb6YGTJkCA888AB5eXkh03hJqO3btzN//vwTGqhORCRa1B9EzV/ZPbisoltErJabksumwk34DB+7SnfRM6Xn8R8kchxNLrq7d+9+3G1Wr17dpO2kvanX0m1r2Kp7pOuvD/8o8W3NmDFjGDNmjNUxREROSm3R7bA52LMvAygCVHSLiPVCRjAvzlPRLWFx/AroOIqLi5k/fz4jRoxg5MiR4cgkbU397uW6BEFEpF0rqy5ja5E5UlrfDn1Zs7MCgNR4Fz0zEo/1UBGRiMtNzg0u67puCZeTLrrfe+89ZsyYQefOnXnkkUeYMmWKri+VxtXvXn6ca7pFRKRtW1uwFqOmB1SPpIEcKq8GYES3Dtjt+hshItaqP4K5pg2TcDmhgdR2797NwoULefrppykvL+fKK6/E6/Xyz3/+k4EDB0Yqo7R6J9a9XERE2q5txduCy25fXTdOdS0XkWhQf65uTRsm4dLkCmjKlCkMHDiQ9evX88gjj7B3714eeeSRSGaTtkLdy0VEpMY1A67hw6s+5NHvPUp5Ua/g+hHdVHSLiPXiXfF0jO8IqHu5hE+Ti+6lS5dy4403cvfdd3PBBRfgcDgimUvaEnUvFxGRetJi0zir61l8u8v8++Cw2xjaNcXiVCIiptrW7iJPEYVVhRankbagyUX38uXLKS0tZdSoUZx66qk8+uijHDx4MJLZpK1wxUF8OsSlgcNtdRoREYkCxZVeNh8oBWBg52Ti3Sd0xZuISMSEXNet1m4Jgyb/hRs7dixjx47l4YcfZvHixTz99NPMnj2bQCDAsmXL6Nq1K0lJSZHMKq1VbIr5IyIiUmP1rqLg1Ue6nltEosnEbhPJSsiiR3IPTRkmYXHCo1rFx8fzwx/+kI8//pi1a9fyy1/+kvvvv5+OHTty8cUXRyKjnIBPP/0Uh8PBeeedF7I+Ly8Pm83W6M/nn39uUVoREWlPnl73NPd8dg+vb3mdz7ftDa5X0S0i0WRs9lhuHHIjE7tPJCVGDUfSfM0aSrpfv3488MAD7N69m0WLFoUrkzTD008/zc0338zHH3/Mzp07G9z/3//+l/z8/JAfza8uIiIt4Z3t7/Dy5pf53Se/Y9XuuuskVXSLiEhbFpYLqBwOB5deeimXXnppOHbXqpV7fFR6/WQkxjS4r6DMQ5zLQUJMZK5bKy8v56WXXmLFihXs27ePhQsX8vvf/z5km/T0dLKysiJyfBERkaPx+D1sKdoCQO/U3qxdWQVA55RYslPjrIwmIiISUU1q6b7pppvYtWtXk3b44osv8sILLzQrVGtV7vFx1xvfcts/13Kw1BNy38FSD7f9cy13vfEt5R5fRI7/4osv0q9fP/r168eMGTN45plnMOpP12WVwh2QvwbyvwGf5/jbi4hImxPjiOHjqz9mweQFXN7j/1Fe7QdghFq5RSQKVfoq2Xh4I29vfxtvwGt1HGnlmtTkmpmZyeDBgxk3bhwXX3wxo0aNIjs7m9jYWAoLC1m/fj0ff/wxixYtokuXLjz11FORzh2VKr1+iiq87C+p4vZX1zL38iFkJsVwsNTD7a+uZX9JVXC7SLR2L1iwgBkzZgBw3nnnUVZWxrvvvsukSZOC24wbNw67PfS7luLi4shOAWcE6k0bpinDRETaq3hXPGM6j2FTXh7wLQAjNT+3iESh333yO5bkLQHgjUvfoEdKD4sTSWvWpMrvD3/4AzfffDMLFizgiSeeYN26dSH3JyUlMWnSJBYsWMDkyZMjErQ1yEiMYe7lQ4IF9u2vruWXk/vy4NLN7C+polNyLHMvH9Jo1/Pm2rRpE19++SWvvvoqAE6nk6uuuoqnn346pOh+8cUXGTBgQMhjIz7nev3WdpuKbhGR9m7lDl3PLSLRLTc5N7icV5ynoluapcnNrR07duT222/n9ttvp6ioiB07dlBZWUlGRga9evXCpmIKgMyk0ML71698AxAsuDOTwl9wgzmAms/nIycnJ7jOMAxcLheFhXUfbrp27Urv3r0jkuHoAnWLep+IiLR7K3eaf5diXXYGZidbnEZEpKERHUdwca+L6ZHSQwW3NNtJ9XFOTU0lNTU1zFHajsykGH45uW+w4Ab45eS+ESu4fT4fzz33HA8++GCDngZTp07lhRde4MILL4zIsZsk5LryZg2YLyIirVB+WT4Pr3qYoZlD6Zs0nF2HKwE4pUsqLof+LohI9BmXM45xOeOsjiFtRJP/0lVUVPDTn/6UnJwcOnbsyPTp0ykoKIhktlbrYKmHB5duDln34NLNDQZXC5clS5ZQWFjIzJkzGTx4cMjPFVdcwYIFC4LbHjp0iH379oX8VFVVRSRXkLqXi4i0a6sOrOI/2/7DfV/cx/PrXg+uH6Wu5SIi0g40uei+6667WLhwIRdccAFXX301y5Yt4yc/+Ukks7VK9QdN65QcywNXnEKn5NjgNd6RKLyfe+45Jk6cSEpKSoP7pk6dyurVqzl8+DAAkyZNonPnziE/r732Wtgzhao3iJqKbhGRduebgrqeX9XlXYPLup5bRETagyZ3L3/11VdZsGABV199NQAzZszg9NNPx+/3R34grlaioCy04K69hvvIwdXunxrewdQWL15McnLj18SNGDEiOG2YZdOH1R5XBbeISLv0zcG6onvXvgzAnH5nuEYuF5EoV+GtYEfJDnJTcolzxlkdR1qpJrd079q1i/HjxwdvjxkzBqfTyd69eyMSrDWKczlIjXc1GDSttvDulBxLaryLOFc7+5JC04WJiLRbHr+HDYc3AJCb3IMNe3wA9MxMIC3BbWU0EZFjmrdyHqf+41SufPNKNh7eaHUcacWa3NLt9/txu0P/ODqdTnw+X9hDtVYJMU7uvngQlV5/g5bszKQY7p86hDiXIyJzdEe1YEu3BssREWlvNhzagC9gflboEtePtX7zb4Lm5xaRaJcRlxFczivOY3jH4RamkdasydWfYRjccMMNxMTUFZNVVVXcdNNNJCQkBNfVzhPdXiXEOI9aVEdifu5WIbUbGH7U0i0i0v6sObgmuOz01U27o+u5RSTa1Z8qbHvJdguTSGvX5KL7+uuvb7BuxowZYQ0jbVSs5mAVEWmv6hfdhw91Di6r6BaRaJebkhtczivOsyyHtH5NLrqfeeaZSOYQERGRNqh2ELU4ZxwbtsUDPlLiXPTKTLQ2mIjIcXRO6EyMIwaP30NeSZ7VcaQV00W2IiIiEhH7yvexv2I/AH1SBnK43Ly2e0S3VOx2XXIkItHNbrPTLbkbALtKd+ENeC1OJK2Vim6JLMMATyl4ysBbZXUaERFpQfWnCkux9w4uq2u5iLQWPZLN67p9AR97SvdYnEZaKxXdEllGAA5tgUPfQfFuq9OIiEgLql90V5V1CS6P0MjlItJKhFzXrS7mcpJUdEtkBefoBmzqSigi0p58U1BXdO/cmwmAw25jWLdUixKJiJyY3OTc4PL2Yo1gLidHRbdEVu0c3aCiW0SkHfH6vXxb8C0AOYld2Gpe2s3AzsnEu5s8jquIiKV6pvQMLqulW06Wiu425IYbbsBms3H//feHrH/ttdew1St4DcPgqaee4tRTTyUxMZHU1FRGjRrFvHnzqKioCHOq+i3deruJiLQXmwo3UR2oBqBzbL/gd7C6nltEWpPuyd2Dy5o2TE6WqqBICQSgYAvsWWn+Gwgc/zFhEBsby5/+9CcKCwuPus21117LLbfcwiWXXML777/P6tWr+d3vfsfrr7/O0qVLwxtILd0iIu1S/fm5HdW5wWUV3SLSmiS6E8mMMy+PUfdyOVnq3xUJ+Wtg9SI4uAl8VeCMhcx+MGwadB4a0UNPmjSJLVu2MHfuXB544IEG97/00ku88MILvPbaa1xyySXB9bm5uVx88cWUlJSEN1D9olvf8YiItBv1i+6Cgs7B5VG5KrpFpHXpkdKDg5UHKfQUUuwpJiUmxepI0sqoCgq3/DXw4Z8gfxXEd4D0Xua/+atq1q85/j6aweFwcN999/HII4+we3fD0cJfeOEF+vXrF1Jw17LZbKSkhPt/ImrpFhFpj5LdyaTFphHjiGHTzkQAclLj6JwSZ3EyEZETo8HUpLlUdIdTIGC2cFccgox+EJMEdof5b0Y/c/2axRHvan7ZZZcxbNgw7rrrrgb3fffdd/Tr1y+ixw+h0ctFRNql3572Wz648gP+d+xLVHrNdSPUtVxEWqEeKT2Cyyq65WRERdE9f/58evToQWxsLCNHjmT58uVNetwnn3yC0+lk2LBhkQ3YVIe3mV3Kk3MaFpg2m7n+wEZzuwj705/+xN///nfWr18fst4wjJBB1SJO3ctFRNotm83Gln11f3NGqegWkVZIc3VLc1leBb344ovccsst3HnnnaxatYrx48dz/vnns3PnzmM+rri4mOuuu46JEye2UNIm8BSb13C74hu/3xVn3u8pjniUM888k3PPPZc77rgjZH3fvn3ZsGFDxI8fpIHURETata921A3sqUHURKQ1UvdyaS7Li+6HHnqImTNncuONNzJgwADmzZtH165defzxx4/5uB//+MdMnz6dsWPHtlDSJohJMQdN8x5l2i1vpXl/Cw2+cP/99/Pvf/+bTz/9NLhu+vTpbN68mddff73B9oZhUFwc5i8EYpMhayhkDYGEzPDuW0REopI/4A8uf11TdMe7HfTPSrIqkojISeuc0JkLe17IrGGzuLLflVbHkVbI0qK7urqalStXMnny5JD1kydPDikUj/TMM8+wdevWRq9ZtlRaT3OU8pI9R3Srxrxdsgc69je3awFDhgzhmmuu4ZFHHgmuu/LKK7nqqquYNm0ac+fO5auvvmLHjh28+eabTJo0iffffz+8IWw2sNvB7jSvbxcRkTbNF/Ax4aUJXPf2dfzviifIL64CYHi3VJwOy7/rFxE5YQ67g7nj5/KToT/hjJwzrI4jrZClU4YVFBTg9/vp1KlTyPpOnTqxb9++Rh/z3Xffcdttt7F8+XKczqbF93g8eDye4O3aabG8Xi9erzdkW6/Xi2EYBAIBAicz4NkpV2Mr2lFzbXe22dXcWwEleyE+HWPIVeZ2YRpMzagp7g3DCP7Uz3333Xfz0ksv1RzSXP/888/z1FNPsXDhQu69916cTid9+vTh2muv5Zxzzjm5825B9c852rMeTWs5h2jMeeR73uv14nC03Bc6tf/POPL/HW3leCLNtalwE4WeQgoPFFJdlQh0BWBYl5QmvY/1nm+d9LqdvPb23LWV820t5xFtOa3OE+7jN3U/NsM4skm25ezdu5ecnBw+/fTTkG7if/zjH3nuuefYuHFjyPZ+v5/TTjuNmTNnctNNNwEwZ84cXnvtNVavXn3U48yZM4e77767wfp//OMfxMeHXn/tdDrJysqia9euuN3ukzovx4F1uNb/E8fh78DvAUcM/vS+eAdcjr/j4JPap4iEqq6uZteuXezbtw+fz2d1HBGpsdW7ldcqX6MwUEh2xQVs2jEegJsG+BmQatlHDhERkbCrqKhg+vTpFBcXk5ycfNTtLC26q6uriY+P5+WXX+ayyy4Lrv/FL37B6tWr+fDDD0O2LyoqokOHDiGtWoFAAMMwcDgcLF26lO9973sNjtNYS3fXrl0pKCho8ORUVVWxa9cucnNziY2NPfmTMwLmKOVVJeZ1zWk9wRb+bnWGYVBaWkpSUlLLjkreRLbqcvCUgM2OEZsKzphm7zPaz7kpWss5RGPO2kwul4sdO3bQtWvX5v2uniCv18uyZcs455xzcLlcbe54IuFyuOow1z3zNZv2BrDZYOUdE0iKPf57WO/51kmv28lrb89daz7fan81u0p34bK76BzXuVWcR7Q931bnCffxS0pKyMjIOG7RbWn3crfbzciRI1m2bFlI0b1s2TIuueSSBtsnJyezdu3akHXz58/nvffe45VXXqFHjx4NHgMQExNDTEzDYs/lcjV4sv1+PzabDbvdjt3enCLZDpl9m/H4pqnt8lubOep4y6H8AAA2Vzy445q9y6g/5yZoLecQjTnrZ7LZbI3+HreElj6uVecpcrISAul8l2/+vvbrlERa0lFm9jgKvedbJ71uJ6+9PXet7Xw3Hd7ElW9eScAIMLXPVO4cfSfQes4j2nJanSdcx2/qPiwtugFmz57Ntddey6hRoxg7dixPPfUUO3fuDHYfv/3229mzZw/PPvssdrudwYNDu2d37NiR2NjYBuslSmjKMBGRdmnNriICNX8CNFWYiLR2OYk5BAzzi0RNGyYnyvKi+6qrruLQoUPcc8895OfnM3jwYN566y26d+8OQH5+/nHn7JZoVm/wLRXdIiJtmmEYwUtRvsqrm597VK6KbhFp3RLdiZyefTopMSkMzlBjn5wYy4tugFmzZjFr1qxG71u4cOExHztnzhzmzJkT/lASHiEt3dHRPVlERCLjiTVP8N6u9zgl4xTW7hgRXD+yW5qFqUREwuOJc54ILkfLaODSOkRF0R2NLBxfrm0JeR7V0i3ho99Rkeiz6sAqNh7eyMbDG2FvbyCZzKQYuqY1fzwPERGR1kpNj0eovRi+oqLC4iRthbqXS2TU/o5G06AgIu1ZwAiwtsAc7LRDTDql5UkAjOreIWpmPxAREbGCWrqP4HA4SE1N5cABc8Tt+Pj4qP6wEAgEqK6upqqqKmpGlw7h8YGvpkXS4wV/85/LqD/nJmgt5xCNOf1+P6WlpZSWljaYQlBErLOlaAtl3jIAMlx92VnTu0mDqIlIW1Ptr6aoqsjqGNKKqOhuRFZWFkCw8I5mhmFQWVlJXFxcdH45UF4A3ppeA6UusDf/LRf159wEreUcojGnYRiUl5fTuXPn4O+qiFhv9YHVwWWjMje4rKJbRNqKgsoCrnv7OvaU7eGsnLOYyESrI0kroaK7ETabjc6dO9OxY8eoHyTB6/Xy0UcfceaZZ0ZnN9s3/wp5y83lHy6D+OZ/+Ir6c26C1nIO0ZjT5/Px3nvvMWzYsKj5IkBEYM3BNcHlfQc7ARDjtDMoO8WqSCIiYdUhpgP7y/cTMALkleTpQl1pMhXdx+BwOKK+66rD4cDn8xEbGxs1RVGIlI6Q1gV8HkhIgpjYZu8y6s+5CVrLOURjTq/Xq0HURKJQbUu3y+4m/0AGAEO7pOJ26lOpiLQNDruDbsnd2FK0hV1lu/An+a2OJK2Eim6JrHPutjqBiIhE2KHKQ+ws3QlATlwfDhvmx4uRmp9bRNqYHik92FK0BV/AR1GgyOo40kro62cRERFpltUHVweXY/w9g8ujdD23iLQxucm5weWDgYPWBZFWRUW3iIiINMuaA3XXcxcV5gSXR3RT0S0ibUuPlB7B5QJ/gYVJpDVR0S0iIiLNUr+lO29PJgC9MhPokOC2KJGISGTUb+kuCKjolqbRNd0SWc9PNacNS8qC6S9anUZERMKs2l/NtwXfAtAxNoet3gQARnVPszKWiEhE5KbkBpcP+tW9XJpGRbdE1v5voTQfynOOv62IiLQ66w+tpzpQDUCKrU9w/ZgeKrpFpO1JcieREZdBQWWBWrqlydS9XCLLV2X+61AXQxGRtqj+/NyVpV2Dyyq6RaStqu1iXm6UU1JdYm0YaRVUdEtk+czWD5zNn59bRESiT+383AA78jsCkJUcS5cOcRYlEhGJrPpdzPNK8izLIa2Him6JLL/H/Neplm4RkbbGMIzgIGpxjgQqytIBGN0jDZvNZmEyEZHI6ZFcN4L5jpIdFiaR1kJFt0ROwA8Bn7nsiLE2i4iIhN3ust0UVJrXNGa6+1L7sWJMrqYKE5G2Sy3dcqJUdEvk+Dx1y04V3SIibY3b7ubHp/yYU7NOhcr6g6ilW5hKRCSy6rd0q+iWptDo5RI5/npFtwZSExFpczoldOJnw39GIGAw8t5lgJeUOBd9OiZaHU1EJGKyE7Nx2V14A152lKp7uRyfWrolcmoHUQMNpCYi0oZtPVhGYYUXgNG5HbDbdT23iLRdDruDbkndANhVugtf7eWUIkeholsip35LtwZSExFps77MOxxcHp2rqcJEpO3rntwdAG/Ay96yvRankWin7uUSOTHJMOlu8FdDRl+r04iISBjtK99HhbeC3JRcVmyvV3Rrfm4RaQdGdxrN/n37Gdt3LDEaMFiOQ0W3RE5cKpxxi9UpREQkAl797lUeX/M4ye5kfPnXAV2IczkYnJ1idTQRkYi7qu9VJG1JYsrQKbhcLqvjSJRT0S0iIiInbPWB1QCUVJdQVhgPwPBuqbidunJNRESkPhXdIiIicsLO7no2Mc4YNhzcQanXnJdb13OLiIg0pK+jJXK8VVC6HyoLQ0cyFxGRVm/6gOk88r1HGO36I2COVj5G13OLSDvjC/jYVbLL6hgS5VR0S+Rs/wge7At/yoWP/9fqNCIiEgErakYud9ptDO+Wam0YEZEW9Er5K4x7aRxT/jWFkuoSq+NIFFPRLZGjKcNERNq0w+XVbDlQBsDgnBTi3bpqTUTaD6fNGZyjO684z9owEtX011Eix1ev6NZUCiIibca6gnX069Av2MoN6louIu1PliOL3im96dWhF26HGpjk6FR0S+TUL7qdKrpFRNqCvWV7mfafacQ6YunuOgc4HdAgaiLS/pwWcxr3TLlHU4bJcanolsjxq+gWEWlrVu5fCUCVv4r95YHg+lHdO1gVSUREJKrpmm6JnPojlqt7uYhIm1BbdAPkH+gMwIDOyXRIUNdKERGRxqjolsjRQGoiIm3O1we+BsBuc+Cr6AbAaT3VtVxE2jev34s/4Lc6hkQpFd0SOfVbup2x1uUQEZGwOFR5iO3F2wHo4OgJhvmF6mk9062MJSJimcWbFnPJa5cw5oUxfFf0ndVxJEqp6JbIqd/SrREdRURavVUHVgWXveW5ANhscKpGLheRdqrKX8W24m34DB9bi7ZaHUeilIpuiRxfVd2yBlITEWn16l/Pvf9ANgD9s5JJjdcXqyLSPvVI7hFcVtEtR6PRyyVyxv0cTrkKvFWQ2c/qNCIi0ky1RbcNG76K7oCu5xaR9q1nSs/g8rbibRYmkWimolsiJ7Gj+SMiIq1eWXUZmwo3AZDs6EpJIB7Q9dwi0r5lJ2TjtrupDlSr6JajUvdyEREROa41B9cQMMx5uf0VZndKXc8tIu2dw+6gR4r5/8SdJTvx+r0WJ5JopKJbREREjqv+9dwFBbqeW0SkVs9Us4u53/Czo2SHxWkkGql7uUTOd8ugvMAcRK3/hZqrW0SkFatfdPtqWrrHqmu5iAi9UnoFl7cVb6N3h94WppFopKJbIufTv8L2j8zlO/YCKrpFRFojj9/D2oK1ACTaO1HqSwY0iJqICNS1dANsLdYI5tKQupdL5HjrTxkWa10OERFplnUF6/AGzOsUjSrzw6XNBmN0PbeISGhLd5EGU5OGVHRL5NTO0213gd1hbRYRETlpX+//Orh86FAOAAN0PbeICABdk7vitJkdiNXSLY1R0S2R4/OY/6qVW0SkVQu5nrs8F9BUYSIitVx2F92SuwGwo3gHvoDP4kQSbVR0S+T4Ks1/XSq6RURaK3/Az+qDqwGItXXA8JrFtq7nFhGp0yvV7GJeHahmT9kei9NItFHRLZGjlm4RkVbPYXfw+iWv88CZD+AqPR+wYbfBab3U0i0iUqtnSr3B1IrUxVxCqeiWyKm9ptsZY20OERFplk4JnRiRPoG9u04BYGjXVJJjXRanEhGJHrUt3WBOGyZSn4puiZza0cudcdbmEBGRZvtkS0Fw+YzeGRYmERGJPvVbujWCuRxJRbdEhmGAv7Z7uVq6RURau4/rFd2nq+gWEQnRPbk7dptZWmkEczmS0+oA0kb5qyG5i9nFPK6D1WlEROQkbDy8kX9u/idjssbwydYqwE6sy87wbqlWRxMRiSqxzlhOzTqVWGcsA9MHWh1HooyKbokMZwzM/tbqFCIi0gzLdy9n8abFLN60mCrb5cAYxvRIJ8bpsDqaiEjUeWryU1ZHkCil7uUiIiLSqK/2fxVc9pWb1yue0VujlouIiJwIFd0iIiLSqAfPepDHJj5GDpcE5+fW9dwiIiInRt3LRUREpFGJ7kTGdT6DPdsrAR9pCW4GZCVbHUtEJKr5A34KPYVkxOlLSjGp6JbIOLQV/jsHnLHQZzKc8n2rE4mIyElYu6eY0iofAGN7pWO32yxOJCISnQzDYMZbM9hUuImuSV351yX/sjqSRAkV3RIZ5QdhwxvmcmJHFd0iIq2U5ucWEWkam81Gha8Cj99DXnEeXr8Xl8NldSyJAiq6JTJ8VXXLzljrcoiIyAmr8lXxh8//wKhOo3hviwswW7dVdIuIHFv/tP74Aj76dOhDmbeMDg5NnSsquiVSvCq6RURaqzUH1/DG1jd4Y+sb+KtGA1PplhZP17R4q6OJiES1+864D5tNl+FIKI1eLpER0tIdY10OERE5YV/u+zK4XF1mThWmUctFRI5PBbc0RkW3REb9otsVZ10OERE5YSv2rQgu+yvMovusvplWxREREWnVVHRLZKilW0SkVSr3lrP24FoA7L5MDF8KTruNcb3TLU4mItK6+AI+qyNIlFDRLZHh89Qt65puEZFWY8W+FfgM84NiVUlvAEZ070ByrEbgFRFpivmr53P5G5dz6gunUuGtsDqORAEV3RIZ3sq6ZRXdIiKtxqd7Pw0u+8r7AHB2P3UtFxFpqv0V+/mu8DuqA9VsLdpqdRyJAiq6JTI0ZZiISKv02d7PzAXDruu5RUROQu/U3sHl74q+szCJRAtNGSaRkTUEhs8wpw5L6WJ1GhERaYK9ZXvJK8kDwKjqDoFYMpNiGNg52dpgIiKtSJ8OfYLL3xWq6BYV3RIp/S8wf0REpNUItnID1WVmS81ZfTM1BY6IyAlQS7ccSd3LRUREBDjieu4ys6VGXctFRE5MRlwGabFpAGw+vBnDMCxOJFZT0S0iIiL4A36+2PcFALZAHIGqHOw2GN8nw+JkIiKtT/+0/gAUego5WHnQ4jRiNRXdIiIiwobDGyj2FANQXdYLcDCsayqp8W5rg4mItEL9OvQLLm88vNHCJBINVHRLZLxwJcztCn/pC54yq9OIiMhx1O9a7i+v7Vre0ao4IiKtWr+0uqJ70+FNFiaRaKCB1CQyPCV1P84Yq9OIiMhx1B9ErXZ+7rM0P7eIyEmp7V4OaukWtXRLpHgrzH/tLnC4rM0iIiLHVO4tZ/XB1QAY1RkY3jTSEtwMyUmxNpiISCvVPbk7MQ6z4WlToVq62zsV3RIZ3krzX1e8tTlEROS4vtr3Fb6ADwBvzVRhE/p1xGHXVGEiIifDaXfSJ9XsNbSzZCcVtQ1S0i6p6JbICBbdsdbmEBGR40p0JzKh6wScxAWv5z5noK7nFhFpjtrrug0MNhdutjiNWElFt0RG7bd5rjhrc4iIyHGN7DSShyc8TMzee/GV9cftsDO+j67nFhFpDg2mJrVUdEtkeKvMf9W9XESkVfh2bwn7ir2Ag3G900mI0VirIiLNETKYWqEGU2vPVHRL+BmGWrpFRFqZ/27YH1yeNKCThUlERNqGvh36BpfV0t2+qeiW8PN5AMNcVku3iEhUW1ewDo/fE1J0Txyg67lFRJorwZVAt6RuAHxX+B3+gN/iRGIV9R2T8Ks/OqNaukVEolaFt4Jr374Wh81JqX8YcCmDc5LpnKL/d4uIhMPY7LF0L+tO/7T+ePwe4u1qkGqPVHRL+LkT4OpFZvGdoIF4RESi1Wf5n+EL+PDhC3ZQUtdyEZHw+e1pv7U6gkQBFd0Sfs4Y6D/F6hQiInIcWfFZXNLrEv6z5X0qys0Bf1R0i4iIhFdUXNM9f/58evToQWxsLCNHjmT58uVH3fbVV1/lnHPOITMzk+TkZMaOHcuSJUtaMK2IiEjbMChjELePnkP5d3fgL+tL55RYBmUnWx1LRESkTbG86H7xxRe55ZZbuPPOO1m1ahXjx4/n/PPPZ+fOnY1u/9FHH3HOOefw1ltvsXLlSiZMmMBFF13EqlWrWji5iIhI67f8u4NU+wHsTBrQCZvNZnUkEZE2xx/ws61oG4ZhWB1FLGB59/KHHnqImTNncuONNwIwb948lixZwuOPP87cuXMbbD9v3ryQ2/fddx+vv/46//73vxk+fHhLRJbjKT8EBzeYg6ildIVEjYIrIhKtlnyrUctFRCJp3sp5LNq4iApfBW9d9hZdk7taHUlamKVFd3V1NStXruS2224LWT958mQ+/fTTJu0jEAhQWlpKWlraUbfxeDx4PJ7g7ZKSEgC8Xi9er/ckkkeP2vzRdB62vE9xvjwDAP9ZdxA4Y3ZY9x+N53yiWss5RGNOqzO19PGtPl9pu5bvWc6ADqewbL1ZdCfFOhndLcXy95re862TXreT196eu7ZyvidyHk6bkwqfObvPmgNryIrLimi2+qLt+bY6T7iP39T92AwL+zjs3buXnJwcPvnkE8aNGxdcf9999/H3v/+dTZuOP4n8n//8Z+6//342bNhAx46Nf0M/Z84c7r777gbr//GPfxAfr2H7wy278HNG580HYG3OdLZ1PM/iRCIiUl9xoJg/l/wZm2HHU3gqnv2XMDojwIw+AaujiYi0OZu8m3ij4g1ynDmc6j6VXq5eVkeSMKmoqGD69OkUFxeTnHz0MVEs714ONLh+zDCMJl1TtmjRIubMmcPrr79+1IIb4Pbbb2f27LrW1pKSErp27crkyZOP+eS0Bl6vl2XLlnHOOefgcrmsjgOAbU0R5JnLA08ZQf8R4R3JPBrP+US1lnOIxpxWZ2rp41t9vtI2vbT5JfgKDFsAw58AwMzJI6Kie7ne862TXreT196eu7ZyvidyHucb53Or7dYWShYq2p5vq/OE+/i1PaiPx9KiOyMjA4fDwb59+0LWHzhwgE6djj1lyYsvvsjMmTN5+eWXmTRp0jG3jYmJISYmpsF6l8sVFW++cIiqc/HXdeV3xCTiiFCuqDrnk9RaziEac1qdqaWPb/X5Stvy4Z4Pg8u+0oEkuB2cPSALl8thYapQes+3TnrdTl57e+7ayvm2lvOItpxW5wnX8Zu6D0tHL3e73YwcOZJly5aFrF+2bFlId/MjLVq0iBtuuIF//OMfXHDBBZGOKSfKW163HJNoXQ4REWmgpLqEFftWABCoTiXg6cz3BnQiNooKbhERkbbE8u7ls2fP5tprr2XUqFGMHTuWp556ip07d3LTTTcBZtfwPXv28OyzzwJmwX3dddfx8MMPc9pppwVbyePi4khJSbHsPKSe6npFtzvBuhwiItLAx7s/xmf4APCVDQRsTBnccoP6iIi0Z16/l0p/Jcnu1n2Jq5wYy+fpvuqqq5g3bx733HMPw4YN46OPPuKtt96ie/fuAOTn54fM2f3kk0/i8/n46U9/SufOnYM/v/jFL6w6BTlSSNGtlm4RkWjy/q73g8u+0kHEuRyc3c/6a7lFRNqybcXbmPbmNE79x6k8vvpxq+NIC7O8pRtg1qxZzJo1q9H7Fi5cGHL7gw8+iHwgaZ7qsrpll0aHFxGJFtX+apbvWQ6A4Y/DX5HLhCGZxLnVtVxEJJLSYtJYd2gdAN8e+tbiNNLSLG/pljZI3ctFRKLS5/mfU14z7oavrD/g4PzBna0NJSLSDqTGppKTmAPAxsMb8QV8FieSlqSiW8KvuqJuWd3LRUSixpK8JcFlX8lg4t0OJg049mwhIiISHoPSBwFQ6atke/F2i9NIS1LRLeE3bRHckQ+/2grx6VanERERzMF7aq/nNvxufOV9mTywk7qWi4i0kEEZg4LL6wrWWZhEWpqKbgk/mw3c8ZCQAXa9xUREosFn+Z9RWl0K1Ixabri4ZFiOxalERNqPIRlDgstrDq6xMIm0NFVEIiIi7cDSvKXBZV/JEDrEuzijT4aFiURE2pdB6YNw2MzeRasPrLY2jLQoFd0iIiJtnNfv5b1d7wF1XcunDOmMy6GPASIiLSXeFU+/tH4AbC3eSkl1icWJpKXor62E33/vhnf/AF89Y3USERHBHLVcXctFRKw3LHNYcPmbg99YF0RalIpuCb/PHoXlf4GvnrY6iYiIAEt3hHYtz06JZVT3DhYmEhFpn4Z1HBZcVhfz9kNFt4SXrxr81eaypgsTEbFctb+ad3e+C9R1Lb9oWDZ2u83iZCIi7c/QzKHBZQ2m1n6o6Jbw8pbXLbvjrcshIiIAFHuKGZM1BgxHsGv590d2sTqWiEi71DmhMx3jOgJm93J/wG9xImkJKrolvKrrF90J1uUQEREAMuMzubHv3ZRuvhPPgfMY1jWV3h2TrI4lItIu2Ww2hnY0W7srfBVsKdpicSJpCSq6JbxCim51LxcRiQavrNwNgXgMXyrfH6VWbhERK6mLefujolvCq7qsblkt3SIilvP4/Ly2eg8AMU47F56SbXEiEZH2TYOptT9OqwNIG6Pu5SIiUWPFvhXs29+RogovAOcOyiIlzmVxKhGR9m1A2gDcdjfVgWpWH1xtdRxpAWrplvBS0S0iEhXyy/L54ZIf8rtVV+JON0cvV9dyERHruR1uBmUMAmBX6S4KKgssTiSRppZuCa/6RbdLRbeIiFXe2v4WAH5bBQCdU2IZ1yvDykgiIlLjvNzzGJQ+iDFZY0h0aRyktk5Ft4RXXAfo9T2oKoHUrlanERFpt8ZkjaFX3JlsKf8Mb8kwrj6rGw7NzS0iEhWmD5hudQRpQSq6Jbx6TzR/RETEUv3TBrH3u8soK5uIwxbLVaP1RaiIiIgVdE23iIhIG/Tuhv0cKPWAEcOkAR3JSom1OpKIiEi7pKJbRESkDXr+853B5WtO7W5hEhEROZr8snze2PoG3xz8xuooEkHqXi4iItKGfLDrA74r2M/HW92Am+7p8ZzRWwOoiYhEmxX7VvDDJT8E4Pt9v88pmadYnEgiRUW3hNfrP4PdX0FsMkx/CeJSrU4kItKuPLnmSdYdWkdinxjKt81m+pj+2DWAmohI1BmUPginzYnP8LFi3wqr40gEqeiW8Dq8HQ5uMJedMdZmERFpZzYd3sS6Q+sACHjTcRkduGKk5uYWEYlG8a54vt/v+6TGpDI6azSGYWCz6UvStkhFt4SXp9j81+4CpwbtERFpSa9sfiW47C0azaXDsklP1BegIiLR6o5T77A6grQADaQm4VVVYv4bmwz6pk5EpMWUVZfxxtY3ADACLrzFw5g5vofFqURERERFt4SXp9T8NybJ2hwiIu3M61tfp8JXAYC3eARn9OxK/6xki1OJiIiIim4JH8MAT01Ld4w+6ImItJSAEWDxxsXB297Cscw8Q63cIiKtgWEYbC3ayt+//Tv5ZflWx5EI0DXdEj7eSgj4zOXYFGuziIi0I5/t/Yy8kjwAfOU96ZHci7P6ZlobSkREmuSFDS/wpxV/AsDtcDOt/zSLE0m4qaVbwqe2lRvU0i0i0oIWbVwUXPYWjuOHZ/TQNGEiIq3EyE4jg8uf7vnUwiQSKSq6JXxqr+cGXdMtItJCdpXs4qPdHwEQ8KaQYgxj6ghNEyYi0lr0S+tHemw6AF/s+4Jqf7XFiSTcVHRL+FTVa+mOVUu3iEhL+Pv6v2NgAOAtPI3/N743sS6HxalERKSp7DY7p+ecDkClr5JVB1ZZnEjCTUW3hE9KF5jyF5j4e+h7ntVpRETavEOVh/jXd68BYATcxFadwTWndbc2lIiInLDTs08PLn+y5xMLk0gkqOiW8EnqBGN+BON/Cb0nWp1GRKTNe2HDC1QHPAB4C8fww7EDSYzRGKkiIq3N2Oyx2DDH4qi9ZEjaDhXdIiIirVC5t5xFNdOEGYYDZ+lZ3DAu19pQIiJyUjrEduCUzFMA2Fq8lV0luyxOJOGkoltERKQVemXzK5R5zQEsfcXDmDFmKKnxbotTiYjIyZrQdUJw+b1d71mYRMJNRbeET9FOOLQVKg5DIGB1GhGRNqvaX83Cdc8GbztLv8ePz+xlYSIREWmuCd3qiu73d71vYRIJNxXdEj7v/REeGQEP9IDDW61OIyLSZu0s2UlplQ8Ab+kAfnTaWNIS1MotItKa9UzpSW5yLgCrDqyisKrQ2kASNiq6JXwqD9ctx3WwLoeISBvnqcykYOOtVO27iLiy85k5vofVkUREJAxqu5gHjIAGVGtDVHRL+FTUK7pjUy2LISLS1v1lySYwXHgLT+fmM87WiOUiIm1E/S7m/935XwuTSDip6JbwqW3pjk0Bhz4AiohEwkebD/L+poMA5KTGcc1p3SxOJCIi4XJKxilkxGUA5nzdpdWlFieScFDRLeFTWXPdSVyatTlERNqo93d+yO/f+jB4+5eT+xLjdFiYSEREwslhdzC5+2QAvAGvBlRrI1R0S3gE/FBZZC7rem4RkbAr9hTzqw9voyD1D8RkvcqwbslcOizH6lgiIhJm5/U4L7j8zvZ3LEwi4aKiW8KjqhgwzOV4tXSLiITbk6ufwRMow2YLYLP5mHPREOx2m9WxREQkzIZmDqVTfCcAPtv7GcWeYosTSXOp6JbwqD+ImrqXi4iEXcGeM/AcPIeAL5GJWTcwrGuq1ZFERCQC7DY75+aeS1psGlf0vYJqf7XVkaSZNNqVhEfFobpltXSLiITVV3mHeenL/cBEXKUTuOuXY62OJCIiETRr2Cxmj5yNw65xO9oCFd0SHmX765YTO1qXQ0SkjfH4/Pzmn98Eb88+ZzAdk2MtTCQiIpGW4EqwOoKEkYpuCY/+F8KvtprFt7qXi4iERbW/mj8u/YitBz0ADO2Swg3jcq0NJSIiIidE13RLeNjtkJABnQZBcmer04iItAkPfD6fVw/8EnfmOzgcPuZefgoODZ4mItKuHKo8xIsbXyRgBKyOIidJLd0iIiJRaPPhbbz43d+x2QK40z/iwr4XMjA72epYIiLSgp5c8yRPrHkCn+GjW3I3xmZrTI/WSC3dIiIiUcYwDGYtuQNsPgDiK7/HnPMmWZxKRERaWo+UHvgM82/BS5tesjiNnCy1dEt4fDYfAl5I6gynXGl1GhGRVu0vnz3L/upvAQhUpzF/ym3EujSCrYhIezOh6wT6dujL+JzxXNlPn7FbKxXdEh6fPQYluyGho4puEZFmWH9wK89u+muwL9pFOT9jVPdO1oYSERFLuBwuXrnoFWw2jefRmql7uTSfYdRNGZaoD4YiIier2udl5luzwV4NQKpvPH887wqLU4mIiJVUcLd+Krql+SoLza7loDm6RUSa4cdvPkAZ28wb3gyevvgejVYuIiIhDMOwOoKcIBXd0nwle+qWkzRdmIjIyXhm5busKDIHyTEMO7OHzaFPZobFqUREJFoUVhXy2OrHuP6d6zV9WCuja7ql+Yp21S2ndrUuh4hIK/X17h08tPp32Jzmh6gRyVfwg1FnWZxKRESiyW3Lb+PTvZ8C8P6u95nYbaLFiaSp1NItzVe0s245RUW3iMiJOFBazsy3fw7OUgCSjAH87eLbLE4lIiLRZsaAGcHlBWsXqJt5K6KiW5qvuH5LdzfrcoiItDJVXj9TX7wdn9u8jtvu78A/LnkUt9NlcTIREYk2Z+ScQd8OfQFYW7CW5XuWW5xImkpFtzRf/ZZudS8XEWkSnz/AVYv+TJHrfXOF4eChsx8kt4MGpBQRkYZsNhs3Db0pePuRVY/o2u5WQkW3NF9tS7fNDsk51mYREWkF/AGD6198mq2BfwTX/b+Bv2Jiz9EWphIRkWg3qdskBqYPBGDj4Y0szVtqcSJpChXd0nzZI6DLGOg8FBzqEikiciyBgMHsf77PGs98bDbzerzJ2dO5ecw1FicTEZFoZ7PZ+PnwnwdvP7LqEar91RYmkqZQ0S3Nd+FDcOMy+H8fWJ1ERCSq+QMGd762ltdXVuI5MAXDsDEibSJ/maSB00REpGnGZY9jdJbZM2pn6U6eXf+sxYnkeFR0i4iItACPz8/Ni75m0ZfmJTn+orH8vz4P8Lcpf8Zms1mcTkREWgubzcZvRv8Gu80s5Z765in2le+zOJUci4puERGRCCvz+Ljh7+/z1lrzQ5HTbmPe1cP5+enn4dJlOSIicoL6pfXjqn5XAVDpq+SBFQ9YnEiORUW3NI/fZ3UCEZGotutwBRc+9TRrbbfhTF5FrMvO364fxcVDs62OJiIirdhPh/2UDjEdAFi2Yxnv5L1jcSI5GhXd0jwvXQcPDYRnL4XKIqvTiIhElS+2HeKiJ1+mIGk+NoeHuOyXueuKOM7up2nBRESkeVJiUrjj1DuCt//4+R8pqCywMJEcjYpuaZ6DG6FkD+z8HGKSrU4jIhIVAgGDJz7cyjV/+4Ki4nS8RaMAGNPpdC4bdJrF6UREpK04N/dczul+DgBFniJ++8lvNXd3FFLRLSfPUwaF283lzL5g19tJRORgqYfrn/mS+9/eiC9gADbGJN/I/4y8gyfP/SuxzlirI4qISBths9n47Wm/JS02DYBP9nzC/33zfxankiOpSpKTl78aar9Jyx5uaRQREasZhsGb3+xl8vxn+Wz/MgBsNph1di+euX4M1w+ehtPutDiliIi0NWmxafzpzD9hw5wJ47HVj7Fi3wqLU0l9+usvJ2/3V3XLOaOsyyEiYrH9JVXc+a/VfHRwMe5O7xFrOHDbc/nr1PM4o0+G1fFERKSNO63zafx02E95dPWjnNb5NPqn9bc6ktSjoltO3p76RfdI63KIiFikyuvn/z7axuOfvw8Z/yQmc695h83H5LGbOaPPDGsDiohIu/GjU35ESkwKU/tOxWXXdJTRREW3nBzDgF013VbciZDZz9o8IiItKBAweHNtPve/s5JDMW/gyvkCm80AwI6dWcNmMXPITItTiohIe2K32bm6/9VWx5BGqOiWk7N/HZTtM5e7jQW7w9o8IiItwB8w+M/afB59bz15viW4Mz/A7agK3t8rpQ/3nnEPgzMGW5hSRETElF+ez4KyBfQv7k+/DDWSWUVFt5yc75bVLfeZbF0OEZEWUOX188bqvcz/6Fv2+D/AnbacGFdJ8P5YRxw/G/5TrhlwjQZLExGRqLCvfB8/fvfH7Pbt5gdLf8BTk5/Sl8IW0ScDOTmFeXXLfSZZFkNEJJK2HSzjhS928vKqDVTFf4i7w2fE1mvZtmHn0t6XMGvYLLISsixMKiIiEsppd5LoSgQgIy6DrkldLU7UfqnolpNz8V/h1B/DprchrafVaUREwuZQmYe31u3jjdW7+frg57hSV+DsuoEYWyBkuwldJ/Dz4T+nd4feFiUVERE5uoy4DP426W/c/NrN/OHsP5ASk2J1pHZLRbecvE6DzB8RkVZu1+EKPth8kP+u38/HWwrwBwLE93yI+G4HQ7Zz2Jxc2PMCfjD4B/RK7WVRWhERkaaJd8UzNWEq2YnZIevXHlzLF/u+4PqB1+NyaKTzSFPRLSIi7U6Zx8fXOwpZ/t1B3t28kx0lW/BX9qi3hY2AJwtHjFl0p8Wkc2mfS5jWf5q6kYuISKvmDXiZ89kcNhdu5qVNL3HjkBu5rPdlKr4jSEW3nJgNb0LPsyEm0eokIiJNEggY7Cqs4JvdxXyVd5ivdhSyIb+EgAGxOf/A2WEtcR3slG26Cww3OalxXDi0Mx2zrmTV4TQu73M547uM15ynIiLSJqzav4otRVsAc3TzP3z+B/5v7f9xRZ8ruKzPZXSM72hxwrZHRbc03fbl8OIM6JALlz8FXcdYnUjaikAADm8DTzHEpJjjBNjtbSvLsfbrq4Y1L0LJTkjuBkOvArvT3L6isO7xx9pHJHI3tk8w11UWQVUxxCVDbAfz/wuHt8GB9YANMmumJTm4EQzD/KIutgPEpYZuGwiY+688BK5E80u9jL7mYw9tgQMbwAiAOx6qy8HmgI4DIL23uX7bh1C2FwIBDFciBzwOtjty2VadyoZ9Jazdv4Mthdvx2Pdgdx/Gs+/SkFM0/LE182v7uXLUYa4bfQkDK1di3/4c7CiCjoMgNhsCBmx9F0rzwfCDKw4qDkNCR4hNgthkqCoBTxnYbJDZH2x2qC4Fd5J5sOpScCVA0S4o3wcBIKOPeV6xKeZzY+V7v1Y0/T62ZXqeRcQiYzqPYfEFi3l09aN8tPsjwBzp/NHVj/L4mscZlz2Oid0mclbXs8iIy7A4bdsQFUX3/Pnz+fOf/0x+fj6DBg1i3rx5jB8//qjbf/jhh8yePZtvv/2W7Oxsfv3rX3PTTTe1YOJ2aMensPgawIDC7ZC3XEW3hEf+Gli9CA5uAl8VOGPNgm3YNOg8tG1kOdZ+t/wXPn3M/OBtGGbBtuxOyOgH7kTw+yFtJvz754DPLPSO3AeEP3djmePTzPuKdkDxbvB5wBED8R3MLw48JeD3QMBv/tQy/IANYpIgsWPdttVl4K0EDHM7m8MsZjsNMs/94CaoKjKPE/Djtzk45OhIvqsr+bE92FdhZ48HthJLniOW/U47Xlc5dvc/scccwO4+iC3Wi60zxNZEqT44CfwJ9HMfYlTsHuLshXwRcDGOGKYeeJI+z//eLIJrMwEsc4Ir1lxXk8W832a+Xja7+VP7+tkc5u2YBLOY8laa+7Hba14/j7lt7T5cMRCTDCldIGeUNe/9WtH0+9iW6XkWEYsNSB/AYxMfY13BOp5Y8wQf7f4IAwO/4Wf5nuUs37Mc22c2+qf1Z0SnEYzoOILhHYeTGZ9pdfRWyfKi+8UXX+SWW25h/vz5nH766Tz55JOcf/75rF+/nm7dujXYfvv27UyZMoUf/ehHPP/883zyySfMmjWLzMxMpk6dasEZtHGHt8MXT8CX/1fzwRnoNRFOv8XSWNJG5K+BD/8EFYcgOQdc8eCtgPxVULwTzvpNy30AjVSWY+1367vm75jhN4tXu9MsWquKYfcK6DgQckab+9n+AQQ8kD0c0nvV7WP/WvP+gC98uRvLXLLXzBvwmVltNnN9dbnZIh3wmcVmbDJ4q8zzgJqC1AE2oLIIo6KIauxUEEe5EU+5kUY5sZQa8RSQyP5AHAd3xeH3ZlBoG0JhIIFCI56DCQcoTdiH4ajA5ijH5tyGLbEUu7MsGNsOxBzn1H7Z5RWu7ZBGilECe1djlJVg8yZBYiIc3Gyex5EMn/kFQcM7zOLZqB3VvKYAx2cu+zxmjwBXnFmoV5eb64MFvQ3wQ3XATF+8xyzAWvq9Xyuafh/bMj3PIhJFBmcM5tGJj7K3bC//2vIv/vXdv9hfsR8AA4MNhzew4fAGXtjwAgBpsWn0TOlJr9Re3DT0JrWEN5HlRfdDDz3EzJkzufHGGwGYN28eS5Ys4fHHH2fu3LkNtn/iiSfo1q0b8+bNA2DAgAF89dVX/OUvf2lTRXdJlZfyiiKqKgvqWkSCLSPUfNAz8PqqKSnfzdbD+3E5615OW0UBtupyAGLtMcQ6XMEPhz7DR2l1KQCuuHTi0voEd4lhUPX5n7EV5+HatxpH4baaHQI2O94uYymeeD8cyj9mfjsOUmM6hJ5TdTHegBeADjFp2G324EfPCm85Fb6Ko+7PMAieu9fnY1dVCev27wo5Z4BEdxIxjtjg7Wp/NcXVZvfceGcCCa7Emn2BYRgcrDpwzPMwajc+BqfNSYfY9JB1h6sKgufaKb5zvXMwn4fSqhK2VRSycs82nE5Hw+Me55iGAekxGbgc7uC6Cl85JdXFACS7kol3JWLU7MkX8HGwct9R92Ues+FR/T4/31Uc4vOdm7E7HcQ54+kQE3qu+yr2EDACOG1OOsZ3DnnODlUdoMpXdeRua44bgJXPQXEFJPcBrw28AAkQ1weKd2N8/DyMsJOV0BWH3XytfT4feRUVfJS3AafDQVpsJnHOuOB+q3yVHKzaf5Qn7ijnGgjAquehqBKS+2B4bST73KTYkiG+ExTmEfjkdfYMNfD7DTaVF9J7fylOZ901vvnlu/EGPA2eXGPV81BUBUl9MKptUF1zju5esDcf7J3BGVNTrEE3r7eu8DtYxYFkO9/Y9uG0Z5HjC+A+FABnCthSKItJoyD/C3PbzqdA7f6NBIyYPviL9hH44HkCg6swsOEPGOa32AEIGAYBI4A/YJDkzCDemYI/YBAIBKha8zZ5pQ78cf1JKIonPdABo9DA65lItdfHpsQSqlzxeLHhdXjx2gP4sOO12fDawRsPPpuBz2bgtRl4bTZ8NnOd3x7AsAUIeFPx5F8R8nTFdX8CZ/x3AJRuuJf6f6Ji4jfgTvus8de1ETYDMv1O+sRl0LfPefTY9TUDi/Lpld0Jp80Ou/PA8GFL6mwWxgc2NF5wnygjgPlGc5oh/F5wxoG/mmDLtrlhTVCn+Ri/BwJx4PdB+SFYsxg6DWm57saBgNnyWnHI7GVhq8kZk2TeLtjU8pnaIj3PIhKlshOz+emwn/KToT/h24JveW/Xe3y4+0O2FG4J+dx0uOowh6sO89X+r7h5+M0h+3hm3TO8sOEFUmJSuOf0exiUXjfL0ZbCLXyw+wOcOPnO8x2BbQHiY+KJdcTisrtw2p047A4cNgcuuwuH3UGXxC4kutvGOFKWFt3V1dWsXLmS2267LWT95MmT+fTTTxt9zGeffcbkyZND1p177rksWLAAr9eLy9VwoBuPx4PHU/dhuKSkBACv14vX623uaUTEzIUrcBY9xrrO3zTtAe88cdS7fltwmKtK61ppdjidXNLVnDbglJJ4Ptnz+5Dtu/RdTLHDDslAcpcj9rYLlh3/y41AdTrlW38Vsi6uy0KcSRsBKNv8Owx/QvA+d/r7xHRcctz91vfkuw3XVey6Dn/ZwOBtR/xW4rv/HwCegrOpPnhe3cY2L0n9f3dCx2yMr7wnlTv/X8i6+B4P44jNxwg4Kdt0b8h9MVn/wt3BLJSe/vDkj1u+7WYCnpzgbWfKSuKyXwagKv9SvEWnBe+zuQpI7P2Xkz7W3z82//UWDacq/6qQ+xL63IPdWXHc1/yoYoHqrY2vr9gKH7/TyPtlJTHV9wHHfs1PWBzgNQcWMd8v36u54wzY6SWp/FrAfM3nPxravar2NT/qfn3fNVzftXbB/P9To++Xgn/h7vAoL2XUvObFOVDz/Yn5mheZN3wfNX7c6k3w9TtHO2MAqvIvw1t0avC2zZ1FYi/zG21v0Qiq8s8A6v5wJmbejc1Recx9Hk3tV0x+TyPd0wL12qkdHvCbf6Kc+InzO6jXYR27YSPBbyfDZyPb76eHv4ocv58sn58uPh9dXam4bV4gBpKGQtkXkNwbw+bG6ymFqkpwp5m9CxyxYJSBPZamqd9afZSztGFuYwB+AwwnOGoKbJujrjiv+TIJIwCOOPBUQWpPOLAVDnwH6T2bmKmZDm2Dg9sguTvgbHh6yd1bLFPt3+Vo/fvcLFH0PIdbm37dIqy9PXdt5Xxby3mcTM7+qf3pn9qfWUNmUVJdwjcHv2HVwVV8e+hbthVvo6CqgIzYDOLt8SH7zSvOY3/FfvZX7CfgC4Tct/bAWh7++uHg7Tc+f+O4OR45+xFOzz69ybmbItyvW1P3Y2nRXVBQgN/vp1OnTiHrO3XqxL59jbfK7du3r9HtfT4fBQUFdO7cucFj5s6dy913391g/dKlS4mPj2/GGUTO4UMOMhs2gIadrZF1x2/bFZE2xRYIvW3Yjn4fYBi2Rv/fcSLcTg/90gPEOCDGDjEO2B+TQ3kAYm0xnNnfT7rbR4ITYh1QbIykJNCHeFs8CbYEYm2x2GwNU5QDm2p+gjaVQ8o1NeEBN9DrwmaeQQv4YiNwnC+twqn+c3QkF5DSspmWLVvWIsdpcVH2PIdbm33dWkB7e+7ayvm2lvNobs5eNf8RCxXuCkqMEt56662QbXZX7CbRlkilUcnKT1ayzbEteN9Xnq9O+Jhfr/iaYldxs3IfTbhet4qKo/fUrc/y7uVAgw9OhmE0+mHqWNs3tr7W7bffzuzZs4O3S0pK6Nq1K5MnTyY5OflkY0fUt87NHNzdE1dV7UdH89yCf6ODPRRteAM29sT1CfkQnO7bT0LA7EJe5Mzmk4QkDJsNsFFo9zHEkw/YSHX3YGL/0BanQ/5+JPrBY48jwNG6t9kar9hruN2p9BgQOt3AHgZQhvklx6i+WTip6xJ8iF4cYuTRd3gET1UVMbENW6VO6dqdRJt5XJvNRrnhZZcxCoD0zL5kdqz7wiZg+NhsjK49m6ZpZMP4xGy6Dw79Imh7YDgeumJzODhrcOicvvmBgRQaBlVVVcTFxtZ1LzzGwRrbokefbsTa6l67IqM3+QGzdTurS2/SutUd12PEstU/9pj7a/weg8rKSuLi4sBmIzW9DzkdQ7/Y2uQ7FT8e3LHJ9Bkaet9O/3BKjbru6CF7D9QMClY7CNWRjID5E59GvyFdcNrialYH2FTQEb/9dMBGt169SbZnBx9WFjDY4T/6QIyN8nvN7p42B7aaLBkx8WR13FuT1UvAV8V6xmLYXfiIZ9jwztjrdf/c4h1LVeBwI/s92Pg5+r3m9bsANhs2bNgMGOz8iGBLqmGwO+BkV9VoEryH6OPeRpxtDyRmgsNNoc3L7pJccx+uOLMFtYYNA7sRAMOPPakTON3Ya95rNmrG+7LZsNvs9B4ykq5xfbHbwF55GO/m5ayqHoTd7iQrPoX+3VfiKNyGEwO3t4ivi2LBnYKbAC5vGe5ANW4CxNogzl9NHH4SCBAfqCbB8OHGjtvhIsbrwWX4iTHAZRzAyY01Ye3m/9wK6xf4/61NanazrR2oLODHHPa7Xmuz3Vn3/AYC5v3x6eYmKbnmGBRfPgXxqeYAbZ5S2LXC7NbvcJrX0JcX0PSvHE+wpdvurLnmnWO3dCdkAnboNNDsZj75Dy3b0r30d3XP0ZGqy6CiqEUyeb1eli1bxjnnnNNo77VWLYqe53Br069bhLW3566tnG9rOY+WzDmFKUDjtdmw8mGcXXg25Z5yvv7ma3r174UPHx6fB5/hwxfw4TN8+AN+/IYff8DPRf0vIjc5N6wZw/181PagPh5Li+6MjAwcDkeDVu0DBw40aM2ulZWV1ej2TqeT9PT0Rh8TExNDTEzD4XVcLlfU/pLcccEg4A81P0fn9Xp56623mDJlygmdy0XHvPfVJu/nxIw+zn0/adJeTuycRwGXHuP+045xX3OMOsZ9I0/6dTu2kcD0Y9w/8YT32LScI46xh2PcFwjAkjvMwYPqX9sIZnFVsAmyR8DkP4Zc22hm2s2UKbceJdNw4ARbMRvNUgWsOyLLE3j9/prnZMgRxx92Yufo88E3i81B1NyJdecY84VZkAM43Hh7XM1b9vOZsuVOXO5voUMmdBlt7isQgO82m9t2mxx6DegxnsPjPhf8C/IL6zIbBWBsNK819pdwYaUN3F3M+6r2mVNh2ew1BaRRN7p37QBj9poxJbwVQKCmgK43+JgZmGCRTb3HBfw1Le8164PjO9QbjMyorvvCIeAzH+evArsDsgdDn7Nh+3/rXoeYOIiNg4oCc3RxfxXY/DXXXTdH/XOpuabbCIAr2RyMzV+NOdxbvZHLDV9N13In+CvNLwuqDkHOCOjYp+Wu6+3YBzJ7Hv33sWSH+V5qwUzR/Df6pEXh8xxubfJ1ayHt7blrK+fbWs7D6pzdU7vTPbU7Xq8X2yYbUwaE8zPwiQvX89HUfVj6f3S3283IkSMbNO8vW7aMcePGNfqYsWPHNth+6dKljBo1qlW84UWkht1uTo8Tn24Wh55Ss2DylJq34zNg6NUt88EzUlmOtd/CLeYo5HYneMvNabSC02zVFJTpvev+Lx3wmvcnZZmFuqcUDm0253nO6G0uhyN3Y5kNPyRlmxmcLnAnmFN5VVeYha3DRbDIjkkyz6m2qLbVFJl+T02Lf813vcFW+foFdK2aUcAdMea+a1rsMQzztjO2bhu7s6YF3FfTmmwDp9ssZjP6mOficIaeU3WZOVe4zWnOu+1wmnN/28PwPXRtrwZbTVHtcJm1uMNNaF+Pmi8SjJrB22pHr3c4IaEF3/u1oun3sS3T8ywi0i5Z3r189uzZXHvttYwaNYqxY8fy1FNPsXPnzuC827fffjt79uzh2WefBeCmm27i0UcfZfbs2fzoRz/is88+Y8GCBSxatMjK0xCRk9F5qDk9TnC+2nyzoMoeYX7wbMlpcyKV5Xj7rT9Pt7/aLBpjUyGjr9kCfjgP0oCeE8Dwml3yD20L3QeEN/fRMveeZBa4tfN0eyvM9cmdweetOQdPTaHpoG64eL95XnGpNfN012zbYJ5ue+PzdBsB8wsHu93cd1wqJGebz0XZATNHoGYucEeM+fx1Hwvjbq47/wbnVAUpOeDNqOlm7jKf86KdDefptjtrCn3jBOfpTjTn3/ZWmjV2fFoj83Q7a+bpTjTzdBnd8u/9WtH0+9iW6XkWEWl3LC+6r7rqKg4dOsQ999xDfn4+gwcP5q233qJ79+4A5Ofns3PnzuD2PXr04K233uLWW2/lscceIzs7m7/+9a9tarowkXal81BzepzD28xCLCYF0npa09ITqSzH2m/noTD2ZljzIpTshORuMPQqs9A7vA0qCmHVXrjwYXC5jp4t3LmPlhnMdZVF5rXQcckQ28FsOT68DQ6sB2yQ2c/c9uBGs8CMSTS3i0sN3TYQMPdfeQhcidDzbLP4BXP+7wMbzKLbXTMnuM1htkqn9zbXb/sQyvaa+3Enmi3vHQfW9BKwH/+cOuRCYV7d7dRusO0D86eqCDoOgt4TzXPfvtxsGTf85pcDFYchoSPEJpnzk1eVgKfMLLwz+5uFd3UpuJPM41eXgisBinZB+T6zF31GH/O8YlPM58aq936taPp9bMv0PIuItCuWF90As2bNYtasWY3et3DhwgbrzjrrLL7++usIpxKRFmO3m12ko0Gkshxrv043jLy24fqM3uD1mkW33X7sfUQi99H2ebTjZPY1f+rr2L/p257wNnboc4JjFTR2Tkfe7jvZ/DnSiR7raI72nESLaPp9bMv0PIuItBv6SlVEREREREQkQlR0i4iIiIiIiESIim4RERERERGRCFHRLSIiIiIiIhIhKrpFREREREREIkRFt4iIiIiIiEiEqOgWERERERERiRAV3SIiIiIiIiIRoqJbREREREREJEJUdIuIiIiIiIhEiIpuERERERERkQhR0S0iIiIiIiISISq6RURERERERCJERbeIiIiIiIhIhKjoFhEREREREYkQp9UBrGAYBgAlJSUWJ2k+r9dLRUUFJSUluFwuq+O0iLZwzq3lHKIxp9WZWvr4Vp+vSEvTe7510ut28trbc9dWzre1nEe05bQ6T7iPX1tP1taXR9Mui+7S0lIAunbtanESERERERERac1KS0tJSUk56v0243hleRsUCATYu3cvSUlJ2Gw2q+M02+jRo1mxYoXVMVpUWzjn1nIO0ZjT6kwtefySkhK6du3Krl27SE5ObpFjiljN6t9xOTl63U5ee3vu2sr5tpbziLacVucJ5/ENw6C0tJTs7Gzs9qNfud0uW7rtdjtdunSxOkbYOByOdvdhvC2cc2s5h2jMaXUmK46fnJwcda+DSKRY/TsuJ0ev28lrb89dWznf1nIe0ZbT6jzhPv6xWrhraSC1NuCnP/2p1RFaXFs459ZyDtGY0+pMVh9fpK3T71jrpNft5LW3566tnG9rOY9oy2l1HiuO3y67l4uItBYlJSWkpKRQXFwcVd9Si4iIiEjTqKVbRCSKxcTEcNdddxETE2N1FBERERE5CWrpFhEREREREYkQtXSLiIiIiIiIRIiKbhEREREREZEIUdEtIiIiIiIiEiEqukVEREREREQiREW3iEgr9uabb9KvXz/69OnD3/72N6vjiIiIiMgRNHq5iEgr5fP5GDhwIO+//z7JycmMGDGCL774grS0NKujiYiIiEgNtXSLiLRSX375JYMGDSInJ4ekpCSmTJnCkiVLrI4lIiIiIvWo6BYRschHH33ERRddRHZ2Njabjddee63BNvPnz6dHjx7ExsYycuRIli9fHrxv79695OTkBG936dKFPXv2tER0EREREWkiFd0iIhYpLy9n6NChPProo43e/+KLL3LLLbdw5513smrVKsaPH8/555/Pzp07AWjs6iCbzRbRzCIiIiJyYlR0i4hY5Pzzz+fee+/l8ssvb/T+hx56iJkzZ3LjjTcyYMAA5s2bR9euXXn88ccByMnJCWnZ3r17N507d26R7CIiIiLSNCq6RUSiUHV1NStXrmTy5Mkh6ydPnsynn34KwJgxY1i3bh179uyhtLSUt956i3PPPdeKuCIiIiJyFE6rA4iISEMFBQX4/X46deoUsr5Tp07s27cPAKfTyYMPPsiECRMIBAL8+te/Jj093Yq4IiIiInIUKrpFRKLYkddoG4YRsu7iiy/m4osvbulYIiIiItJE6l4uIhKFMjIycDgcwVbtWgcOHGjQ+i0iIiIi0UtFt4hIFHK73YwcOZJly5aFrF+2bBnjxo2zKJWIiIiInCh1LxcRsUhZWRlbtmwJ3t6+fTurV68mLS2Nbt26MXv2bK699lpGjRrF2LFjeeqpp9i5cyc33XSThalFRERE5ETYjMYmehURkYj74IMPmDBhQoP1119/PQsXLgRg/vz5PPDAA+Tn5zN48GD+93//lzPPPLOFk4qIiIjIyVLRLSIiIiIiIhIhuqZbREREREREJEJUdIuIiIiIiIhEiIpuERERERERkQhR0S0iIiIiIiISISq6RURERERERCJERbeIiIiIiIhIhKjoFhEREREREYkQFd0iIiIiIiIiEaKiW0RERERERCRCVHSLiIi0IwsWLGDy5MmWHf/AgQNkZmayZ88eyzKIiIi0JBXdIiIi7YTH4+H3v/89v/vd74LrysvL+c1vfkPPnj2JjY0lMzOTs88+mzfffDO4TW5uLvPmzWuwv3nz5pGbmwvAzTffTJ8+fRo97p49e3A4HLz66qt07NiRa6+9lrvuuius5yYiIhKtVHSLiIi0E//85z9JTExk/PjxwXU33XQTr732Go8++igbN27knXfeYerUqRw6dOiE9j1z5ky2bNnC8uXLG9y3cOFC0tPTueiiiwD4wQ9+wAsvvEBhYWHzTkhERKQVUNEtIiLSyhw8eJCsrCzuu+++4LovvvgCt9vN0qVLj/q4xYsXc/HFF4es+/e//80dd9zBlClTyM3NZeTIkdx8881cf/31J5Rp2LBhjBgxgqeffrrBfQsXLuS6667D5XIBMGTIELKysvjXv/51QscQERFpjVR0i4iItDKZmZk8/fTTzJkzh6+++oqysjJmzJjBrFmzjnm99vLlyxk1alTIuqysLN566y1KS0ubnWvmzJm8/PLLlJWVBdd9+OGHbNmyhR/+8Ich244ZM6bRVnEREZG2RkW3iIhIKzRlyhR+9KMfcc0113DTTTcRGxvL/ffff9Tti4qKKCoqIjs7O2T9U089xaeffkp6ejqjR4/m1ltv5ZNPPjmpTNOnT8fv9/Pyyy8H1z399NOMHTuWgQMHhmybk5NDXl7eSR1HRESkNVHRLSIi0kr95S9/wefz8dJLL/HCCy8QGxt71G0rKysBGmxz5plnsm3bNt59912mTp3Kt99+y/jx4/nDH/5wwnlSU1O5/PLLg13MS0tL+ec//9mglRsgLi6OioqKEz6GiIhIa6OiW0REpJXatm0be/fuJRAIsGPHjmNum56ejs1ma3TwMpfLxfjx47nttttYunQp99xzD3/4wx+orq4GIDk5meLi4gaPKyoqIiUlJWTdzJkz+fjjj/nuu+948cUXAbjqqqsaPPbw4cNkZmY2+VxFRERaKxXdIiIirVB1dTXXXHMNV111Fffeey8zZ85k//79R93e7XYzcOBA1q9ff9x9Dxw4EJ/PR1VVFQD9+/dnxYoVDbZbsWIF/fr1C1k3YcIEevbsycKFC3n66ae58sorSUpKavDYdevWMXz48ONmERERae1shmEYVocQERGRE/OrX/2KV155hTVr1pCYmMiECRNISkoKmV/7SL/85S/ZsWMHr7zySnDd2WefzbRp0xg1ahTp6emsX7+e2bNnk5OTw7vvvgvA559/zumnn85dd93FFVdcAZjTj82ZM4dPP/2UU089NeQ49957Lw899BCFhYV8/PHHnH766SH3V1RUkJGRwZIlS0KmLxMREWmLVHSLiIi0Mh988AHnnHMO77//PmeccQYAO3fu5JRTTmHu3Ln85Cc/afRxGzduZMSIEeTn5we7hc+dO5d///vfbNq0iYqKCrKzs7nwwgv5/e9/T3p6evCx//3vf7nnnntYt24dAIMGDeKuu+5i0qRJDY6ze/duunfvTp8+fdi4cWOD+xctWsTdd9/d6H0iIiJtjYpuERGRduTKK69k+PDh3H777ZZlGDNmDLfccgvTp0+3LIOIiEhL0TXdIiIi7cif//xnEhMTLTv+gQMHuOKKK5g2bZplGURERFqSWrpFREREREREIkQt3SIiIiIiIiIRoqJbREREREREJEJUdIuIiIiIiIhEiIpuERERERERkQhR0S0iIiIiIiISISq6RURERERERCJERbeIiIiIiIhIhKjoFhEREREREYkQFd0iIiIiIiIiEaKiW0RERERERCRC/j8Sb/0tM16EbAAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Summary:\n", " BASE: a=49.9583, k=28.6710, a>k=True, NLL=6.4037\n", " SOFT: a=50.0000, k=0.2000, a>k=True, NLL=1464.4441\n", " HARD: a=6795.4940, k=6771.2494, a>k=True, NLL=6.2627\n" ] } ], "source": [ "# bayes_conditional_bp_gamma_soft_vs_hard.py\n", "# Conditional Bayes via logit P(AE|x) = logit(p) + log f_AE(x) - log f_NC(x)\n", "# AE ~ Beta-Prime(a,b,s), NC ~ Gamma(k,theta)\n", "# Fits: baseline (no constraint), soft constraint, hard constraint (a>k)\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize, stats\n", "\n", "# -------------------- Data (58 samples; 5 AE, 53 NC) --------------------\n", "X = np.array([\n", " 2.10530186,1.53638256,1.27440464,1.18793511,1.67463589,0.99560964,\n", " 1.29951334,1.4487505,1.41323006,0.97716498,4.15183592,1.21824968,\n", " 1.41615129,1.03924823,0.95176142,1.16912568,1.27644777,2.09301472,\n", " 1.40332818,1.31390798,1.26484132,1.01535118,0.87748241,1.47154474,\n", " 1.3867569,1.48594308,1.12360644,1.45436275,1.47734261,0.97777778,\n", " 1.36616147,1.15132082,1.50168598,1.14430678,1.19095373,2.2312088,\n", " 1.40842247,0.7728464,1.23352277,1.20050025,1.54410601,1.43738627,\n", " 1.40753829,1.30866444,1.46020007,1.29942894,1.26122737,1.17339683,\n", " 1.78620076,1.2313168,0.97633207,1.22268689,1.53426397,2.48122597,\n", " 1.51956749,1.55983913,1.23462415,1.43941736\n", "], float)\n", "\n", "y = np.array([\n", " 1,0,0,0,1,0,0,0,0,0, 1,0,0,0,0,0,0,1,0,0,\n", " 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,\n", " 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0\n", "], int)\n", "\n", "# -------------------- sanity --------------------\n", "assert X.ndim==1 and y.ndim==1 and len(X)==len(y), \"X,y must be 1-D and same length\"\n", "assert np.all(X>0), \"All X must be > 0\"\n", "n1, n0 = int(y.sum()), len(y)-int(y.sum())\n", "p_emp = n1/len(y)\n", "print(f\"AE={n1}, NC={n0}, empirical p_AE={p_emp:.6f}\")\n", "\n", "# -------------------- helpers --------------------\n", "def logistic(z):\n", " z = np.clip(z, -60, 60)\n", " return 1.0/(1.0 + np.exp(-z))\n", "\n", "def softplus(t):\n", " return np.where(t>20, t, np.log1p(np.exp(t))) # stable\n", "\n", "# log-pdfs\n", "def logpdf_bp(x, a, b, s):\n", " return stats.betaprime.logpdf(x, a=a, b=b, scale=s)\n", "\n", "def logpdf_gamma(x, k, theta):\n", " return stats.gamma.logpdf(x, a=k, scale=theta)\n", "\n", "# essential decision & conditional NLL\n", "def decision_ess(x, a, b, s, k, theta):\n", " x = np.asarray(x, float)\n", " return (a - k)*np.log(x) - (a + b)*np.log1p(x/s) + x/theta\n", "\n", "def neg_conditional_ll(theta, X, y, eps=1e-12):\n", " # theta = [p, a, b, s, k, theta_nc]\n", " p, a, b, s, k, theta_nc = theta\n", " z = (np.log(p) - np.log(1-p)) + decision_ess(X, a, b, s, k, theta_nc)\n", " p_x = logistic(z)\n", " return -np.sum(y*np.log(p_x+eps) + (1-y)*np.log(1-p_x+eps))\n", "\n", "# Beta prior on p\n", "def make_prior_params(p_emp, tau=25.0):\n", " alpha = max(tau*p_emp, 1e-6)\n", " beta = max(tau*(1-p_emp), 1e-6)\n", " return alpha, beta\n", "\n", "def neg_log_prior_p(p, alpha, beta, eps=1e-12):\n", " return -((alpha-1)*np.log(p+eps) + (beta-1)*np.log(1-p+eps))\n", "\n", "def neg_posterior(theta, X, y, alpha, beta):\n", " return neg_conditional_ll(theta, X, y) + neg_log_prior_p(theta[0], alpha, beta)\n", "\n", "# soft penalty objective (encourage a>k via lam * [k-a]_+^2)\n", "def neg_posterior_soft(theta, X, y, alpha, beta, lam=50.0):\n", " base = neg_posterior(theta, X, y, alpha, beta)\n", " _, a, _, _, k, _ = theta\n", " pen = lam * max(0.0, k - a)**2\n", " return base + pen\n", "\n", "# hard constraint: a = k + softplus(delta) > k\n", "def unpack_phi(phi):\n", " # phi = [p_raw, b_raw, s_raw, k_raw, theta_raw, delta_raw]\n", " p = 1/(1+np.exp(-phi[0])) # (0,1)\n", " b = softplus(phi[1]) + 1e-6 # >0\n", " s = softplus(phi[2]) + 1e-6 # >0\n", " k = softplus(phi[3]) + 1e-6 # >0\n", " theta = softplus(phi[4]) + 1e-6 # >0\n", " delta = softplus(phi[5]) + 1e-6 # >0\n", " a = k + delta # => a > k\n", " return p, a, b, s, k, theta\n", "\n", "def neg_posterior_phi(phi, X, y, alpha, beta):\n", " p, a, b, s, k, theta = unpack_phi(phi)\n", " z = (np.log(p) - np.log(1-p)) + decision_ess(X, a, b, s, k, theta)\n", " p_x = logistic(z)\n", " eps = 1e-12\n", " nll = -np.sum(y*np.log(p_x+eps) + (1-y)*np.log(1-p_x+eps))\n", " nlp = -((alpha-1)*np.log(p+eps) + (beta-1)*np.log(1-p+eps))\n", " return nll + nlp\n", "\n", "# -------------------- inits --------------------\n", "alpha, beta = make_prior_params(p_emp, tau=25.0)\n", "\n", "# moments for NC Gamma init (from NC subset if present)\n", "X0 = X[y==0]\n", "if X0.size>0:\n", " m0 = float(np.mean(X0)); v0 = float(np.var(X0, ddof=0))\n", "else:\n", " m0 = float(np.mean(X)); v0 = float(np.var(X, ddof=0))\n", "k0 = max((m0**2)/(v0+1e-9), 1.5) if v0>0 else 2.0\n", "th0= max(v0/(m0+1e-9), 0.5) if v0>0 else max(m0/2.0,0.1)\n", "\n", "# AE inits\n", "X1 = X[y==1]; m1 = float(np.mean(X1)) if X1.size>0 else float(np.mean(X))\n", "p0 = np.clip(p_emp, 1e-3, 1-1e-3)\n", "a0, b0, s0 = 2.5, 1.0, np.clip(max(m1, 0.5), 0.01, 10.0)\n", "\n", "# -------------------- FIT 1: baseline (no constraint) --------------------\n", "bounds = [\n", " (1e-3, 1-1e-3), # p\n", " (0.2, 50.0), # a\n", " (0.2, 50.0), # b\n", " (0.01, 10.0), # s\n", " (0.2, 50.0), # k\n", " (0.01, 10.0), # theta\n", "]\n", "theta_init = np.array([p0, a0, b0, s0, min(k0, bounds[4][1]), min(th0, bounds[5][1])], float)\n", "res_base = optimize.minimize(\n", " neg_posterior, theta_init, args=(X,y,alpha,beta),\n", " method=\"L-BFGS-B\", bounds=bounds, options=dict(maxiter=6000, ftol=1e-12)\n", ")\n", "p_b, a_b, b_b, s_b, k_b, th_b = res_base.x\n", "print(\"\\nBASE (no constraint) success:\", res_base.success, res_base.message)\n", "print(f\" p={p_b:.6f}, a={a_b:.4f}, b={b_b:.4f}, s={s_b:.4f}, k={k_b:.4f}, theta={th_b:.4f}, a>k? {a_b>k_b}\")\n", "nll_base = neg_conditional_ll(res_base.x, X, y); print(\" NLL:\", nll_base)\n", "\n", "# -------------------- FIT 2: soft constraint --------------------\n", "lam = 50.0 # penalty weight (tune if needed)\n", "res_soft = optimize.minimize(\n", " neg_posterior_soft, theta_init, args=(X,y,alpha,beta,lam),\n", " method=\"L-BFGS-B\", bounds=bounds, options=dict(maxiter=6000, ftol=1e-12)\n", ")\n", "p_s, a_s, b_s, s_s, k_s, th_s = res_soft.x\n", "print(\"\\nSOFT constraint success:\", res_soft.success, res_soft.message)\n", "print(f\" p={p_s:.6f}, a={a_s:.4f}, b={b_s:.4f}, s={s_s:.4f}, k={k_s:.4f}, theta={th_s:.4f}, a>k? {a_s>k_s}\")\n", "nll_soft = neg_conditional_ll(res_soft.x, X, y); print(\" NLL:\", nll_soft)\n", "\n", "# -------------------- FIT 3: hard constraint (a = k + softplus(delta)) --------------------\n", "# transformed inits\n", "p_raw0 = np.log(p0/(1-p0))\n", "b_raw0 = np.log(np.exp(b0)-1)\n", "s_raw0 = np.log(np.exp(s0)-1)\n", "k_raw0 = np.log(np.exp(k0)-1)\n", "theta_raw0 = np.log(np.exp(th0)-1)\n", "delta_raw0 = np.log(np.exp(1.0)-1) # start with a>k by ~1\n", "phi0 = np.array([p_raw0, b_raw0, s_raw0, k_raw0, theta_raw0, delta_raw0], float)\n", "\n", "res_hard = optimize.minimize(\n", " neg_posterior_phi, phi0, args=(X,y,alpha,beta),\n", " method=\"L-BFGS-B\", options=dict(maxiter=8000, ftol=1e-12)\n", ")\n", "p_h, a_h, b_h, s_h, k_h, th_h = unpack_phi(res_hard.x)\n", "print(\"\\nHARD constraint success:\", res_hard.success, res_hard.message)\n", "print(f\" p={p_h:.6f}, a={a_h:.4f}, b={b_h:.4f}, s={s_h:.4f}, k={k_h:.4f}, theta={th_h:.4f}, a>k? {a_h>k_h}\")\n", "nll_hard = neg_conditional_ll([p_h,a_h,b_h,s_h,k_h,th_h], X, y); print(\" NLL:\", nll_hard)\n", "\n", "# -------------------- predictions --------------------\n", "def predict_proba_with_params(x, p,a,b,s,k,theta):\n", " z = (np.log(p) - np.log(1-p)) + decision_ess(x, a,b,s, k,theta)\n", " return logistic(z)\n", "\n", "# x-range guided by data\n", "xmin = max(1e-6, X.min()*0.5)\n", "xmax = max(X.max()*2.0, 8.0)\n", "xg = np.logspace(np.log10(xmin), np.log10(xmax), 900)\n", "\n", "p_base = predict_proba_with_params(xg, p_b,a_b,b_b,s_b,k_b,th_b)\n", "p_soft = predict_proba_with_params(xg, p_s,a_s,b_s,s_s,k_s,th_s)\n", "p_hard = predict_proba_with_params(xg, p_h,a_h,b_h,s_h,k_h,th_h)\n", "\n", "# -------------------- plots --------------------\n", "plt.figure(figsize=(10,6))\n", "plt.plot(xg, p_base, label=f\"BASE (a>k={a_b>k_b})\", lw=2)\n", "plt.plot(xg, p_soft, label=f\"SOFT (a>k={a_s>k_s}, λ={lam})\", lw=2, ls=\"--\")\n", "plt.plot(xg, p_hard, label=f\"HARD (a>k={a_h>k_h})\", lw=2, ls=\"-.\")\n", "plt.scatter(X[y==1], np.ones(n1), marker='x', alpha=0.8, label=\"AE\")\n", "plt.scatter(X[y==0], np.zeros(n0), marker='o', alpha=0.6, label=\"NC\")\n", "plt.xscale(\"log\"); plt.ylim(-0.05, 1.05); plt.grid(True, which=\"both\")\n", "plt.xlabel(\"x (SUV)\"); plt.ylabel(\"P(AE | x)\")\n", "plt.title(\"Conditional Bayes — AE=Beta-Prime, NC=Gamma (BASE vs SOFT vs HARD)\")\n", "plt.legend()\n", "plt.tight_layout()\n", "# plt.savefig(\"bp_gamma_conditional_three_modes.png\", dpi=300, bbox_inches=\"tight\")\n", "plt.show()\n", "\n", "print(\"\\nSummary:\")\n", "print(f\" BASE: a={a_b:.4f}, k={k_b:.4f}, a>k={a_b>k_b}, NLL={nll_base:.4f}\")\n", "print(f\" SOFT: a={a_s:.4f}, k={k_s:.4f}, a>k={a_s>k_s}, NLL={nll_soft:.4f}\")\n", "print(f\" HARD: a={a_h:.4f}, k={k_h:.4f}, a>k={a_h>k_h}, NLL={nll_hard:.4f}\")\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "ffaf9a71", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "BASE: True CONVERGENCE: RELATIVE REDUCTION OF F <= FACTR*EPSMCH | a>k? True | theta_max= 0.844328257807322\n", "SOFT: True CONVERGENCE: RELATIVE REDUCTION OF F <= FACTR*EPSMCH | a>k? True | theta_max= 4710.625930390605\n", "HARD: True CONVERGENCE: RELATIVE REDUCTION OF F <= FACTR*EPSMCH | a>k? True | theta_max= 0.20015513181290615\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_5916\\473595781.py:33: RuntimeWarning: overflow encountered in exp\n", " def softplus(t): return np.where(t>20, t, np.log1p(np.exp(t)))\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "HARD_MONO: True CONVERGENCE: RELATIVE REDUCTION OF F <= FACTR*EPSMCH | a>k? True | theta_max= 0.02879682476318183\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# bp_gamma_conditional_four_modes.py\n", "# AE ~ Beta-Prime(a,b,s), NC ~ Gamma(k,theta)\n", "# Modes: BASE, SOFT (penalty for a<=k), HARD (a>k), HARD_MONO (a>k and theta<=theta_max)\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize, stats\n", "\n", "# ----- data -----\n", "X = np.array([\n", " 2.10530186,1.53638256,1.27440464,1.18793511,1.67463589,0.99560964,\n", " 1.29951334,1.4487505,1.41323006,0.97716498,4.15183592,1.21824968,\n", " 1.41615129,1.03924823,0.95176142,1.16912568,1.27644777,2.09301472,\n", " 1.40332818,1.31390798,1.26484132,1.01535118,0.87748241,1.47154474,\n", " 1.3867569,1.48594308,1.12360644,1.45436275,1.47734261,0.97777778,\n", " 1.36616147,1.15132082,1.50168598,1.14430678,1.19095373,2.2312088,\n", " 1.40842247,0.7728464,1.23352277,1.20050025,1.54410601,1.43738627,\n", " 1.40753829,1.30866444,1.46020007,1.29942894,1.26122737,1.17339683,\n", " 1.78620076,1.2313168,0.97633207,1.22268689,1.53426397,2.48122597,\n", " 1.51956749,1.55983913,1.23462415,1.43941736\n", "], float)\n", "y = np.array([\n", " 1,0,0,0,1,0,0,0,0,0, 1,0,0,0,0,0,0,1,0,0,\n", " 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,\n", " 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0\n", "], int)\n", "assert len(X)==len(y) and np.all(X>0)\n", "n1, n0 = int(y.sum()), len(y)-int(y.sum())\n", "p_emp = n1/len(y)\n", "\n", "# ----- helpers -----\n", "def logistic(z): z = np.clip(z,-60,60); return 1/(1+np.exp(-z))\n", "def softplus(t): return np.where(t>20, t, np.log1p(np.exp(t)))\n", "\n", "def logpdf_bp(x,a,b,s): return stats.betaprime.logpdf(x, a=a, b=b, scale=s)\n", "def logpdf_gm(x,k,th): return stats.gamma.logpdf(x, a=k, scale=th)\n", "\n", "def dE_ess(x,a,b,s,k,th):\n", " x = np.asarray(x,float)\n", " return (a-k)*np.log(x) - (a+b)*np.log1p(x/s) + x/th\n", "\n", "def neg_cond_ll(theta,X,y):\n", " p,a,b,s,k,th = theta\n", " z = (np.log(p)-np.log(1-p)) + dE_ess(X,a,b,s,k,th)\n", " px = logistic(z); eps=1e-12\n", " return -np.sum(y*np.log(px+eps)+(1-y)*np.log(1-px+eps))\n", "\n", "def prior_ab(p_emp,tau=25.0):\n", " a = max(tau*p_emp,1e-6); b=max(tau*(1-p_emp),1e-6); return a,b\n", "def nlp_p(p,a,b): eps=1e-12; return -((a-1)*np.log(p+eps)+(b-1)*np.log(1-p+eps))\n", "def neg_post(theta,X,y,pa,pb): return neg_cond_ll(theta,X,y)+nlp_p(theta[0],pa,pb)\n", "\n", "# soft penalty (encourage a>k)\n", "def neg_post_soft(theta,X,y,pa,pb,lam=50.0):\n", " return neg_post(theta,X,y,pa,pb)+lam*max(0.0, theta[4]-theta[1])**2\n", "\n", "# hard a>k reparam\n", "def unpack_phi(phi):\n", " p = 1/(1+np.exp(-phi[0]))\n", " b = softplus(phi[1])+1e-6\n", " s = softplus(phi[2])+1e-6\n", " k = softplus(phi[3])+1e-6\n", " th = softplus(phi[4])+1e-6\n", " delta = softplus(phi[5])+1e-6\n", " a = k + delta\n", " return p,a,b,s,k,th\n", "\n", "def neg_post_phi(phi,X,y,pa,pb):\n", " p,a,b,s,k,th = unpack_phi(phi)\n", " z = (np.log(p)-np.log(1-p))+dE_ess(X,a,b,s,k,th)\n", " px= logistic(z); eps=1e-12\n", " nll= -np.sum(y*np.log(px+eps)+(1-y)*np.log(1-px+eps))\n", " return nll + nlp_p(p,pa,pb)\n", "\n", "# hard a>k + hard monotone theta<=theta_max\n", "def theta_max(a,b,k,s):\n", " A = a-k\n", " if A<=0: return np.inf\n", " d = np.sqrt(a+b)-np.sqrt(A)\n", " return np.inf if d<=0 else s/(d*d)\n", "\n", "def unpack_phi_mono(phi):\n", " # phi = [p_raw, b_raw, s_raw, k_raw, delta_raw, u_theta]\n", " p = 1/(1+np.exp(-phi[0]))\n", " b = softplus(phi[1])+1e-6\n", " s = softplus(phi[2])+1e-6\n", " k = softplus(phi[3])+1e-6\n", " delta = softplus(phi[4])+1e-6\n", " a = k + delta\n", " u = phi[5] # free real\n", " th_cap = theta_max(a,b,k,s) # <= inf\n", " if np.isfinite(th_cap):\n", " th = th_cap * (1/(1+np.exp(-u))) # (0, th_cap)\n", " else:\n", " th = softplus(u)+1e-6 # fallback\n", " return p,a,b,s,k,th\n", "\n", "def neg_post_phi_mono(phi,X,y,pa,pb):\n", " p,a,b,s,k,th = unpack_phi_mono(phi)\n", " z=(np.log(p)-np.log(1-p))+dE_ess(X,a,b,s,k,th)\n", " px=logistic(z); eps=1e-12\n", " nll=-np.sum(y*np.log(px+eps)+(1-y)*np.log(1-px+eps))\n", " return nll + nlp_p(p,pa,pb)\n", "\n", "# ----- inits -----\n", "pa,pb = prior_ab(p_emp, tau=25.0)\n", "X0 = X[y==0]; m0=(X0.mean() if X0.size else X.mean()); v0=(X0.var() if X0.size else X.var())\n", "k0 = max(m0**2/(v0+1e-9),1.5) if v0>0 else 2.0\n", "th0= max(v0/(m0+1e-9),0.5) if v0>0 else max(m0/2.0,0.1)\n", "X1 = X[y==1]; m1=(X1.mean() if X1.size else X.mean())\n", "p0 = np.clip(p_emp,1e-3,1-1e-3); a0,b0,s0 = 2.5,1.0,max(m1,0.5)\n", "\n", "bounds=[(1e-3,1-1e-3),(0.2,50.0),(0.2,50.0),(0.01,10.0),(0.2,50.0),(0.01,10.0)]\n", "theta_init=np.array([p0,a0,b0,s0,min(k0,bounds[4][1]),min(th0,bounds[5][1])],float)\n", "\n", "# ----- fit BASE -----\n", "res_base=optimize.minimize(neg_post, theta_init, args=(X,y,pa,pb),\n", " method=\"L-BFGS-B\", bounds=bounds)\n", "p_b,a_b,b_b,s_b,k_b,th_b=res_base.x\n", "print(\"\\nBASE:\",res_base.success,res_base.message,\" | a>k?\",a_b>k_b,\n", " \" | theta_max=\",theta_max(a_b,b_b,k_b,s_b))\n", "\n", "# ----- fit SOFT -----\n", "lam=50.0\n", "res_soft=optimize.minimize(neg_post_soft, theta_init, args=(X,y,pa,pb,lam),\n", " method=\"L-BFGS-B\", bounds=bounds)\n", "p_s,a_s,b_s,s_s,k_s,th_s=res_soft.x\n", "print(\"SOFT:\",res_soft.success,res_soft.message,\" | a>k?\",a_s>k_s,\n", " \" | theta_max=\",theta_max(a_s,b_s,k_s,s_s))\n", "\n", "# ----- fit HARD (a>k) -----\n", "phi0=np.array([np.log(p0/(1-p0)),\n", " np.log(np.exp(b0)-1),\n", " np.log(np.exp(s0)-1),\n", " np.log(np.exp(k0)-1),\n", " np.log(np.exp(1.0)-1), # delta\n", " np.log(np.exp(th0)-1) # raw theta\n", " ],float)\n", "res_hard=optimize.minimize(neg_post_phi, phi0, args=(X,y,pa,pb),\n", " method=\"L-BFGS-B\")\n", "p_h,a_h,b_h,s_h,k_h,th_h=unpack_phi(res_hard.x)\n", "print(\"HARD:\",res_hard.success,res_hard.message,\" | a>k?\",a_h>k_h,\n", " \" | theta_max=\",theta_max(a_h,b_h,k_h,s_h))\n", "\n", "# ----- fit HARD_MONO (a>k & monotone) -----\n", "phiM0=np.array([np.log(p0/(1-p0)),\n", " np.log(np.exp(b0)-1),\n", " np.log(np.exp(s0)-1),\n", " np.log(np.exp(k0)-1),\n", " np.log(np.exp(1.0)-1), # delta\n", " 0.0 # u_theta\n", " ],float)\n", "res_mono=optimize.minimize(neg_post_phi_mono, phiM0, args=(X,y,pa,pb),\n", " method=\"L-BFGS-B\")\n", "p_m,a_m,b_m,s_m,k_m,th_m=unpack_phi_mono(res_mono.x)\n", "print(\"HARD_MONO:\",res_mono.success,res_mono.message,\" | a>k?\",a_m>k_m,\n", " \" | theta_max=\",theta_max(a_m,b_m,k_m,s_m))\n", "\n", "# ----- make curves -----\n", "def P_with(p,a,b,s,k,th,x): return logistic((np.log(p)-np.log(1-p))+dE_ess(x,a,b,s,k,th))\n", "\n", "xmin, xmax = float(X.min()), float(X.max())\n", "x_zoom = np.logspace(np.log10(xmin), np.log10(xmax), 700) # exact SUV range\n", "x_wide = np.logspace(np.log10(xmin/3), np.log10(max(50.0, xmax*20)), 1200) # show asymptote\n", "\n", "curves = {\n", " \"BASE\": (p_b,a_b,b_b,s_b,k_b,th_b),\n", " \"SOFT\": (p_s,a_s,b_s,s_s,k_s,th_s),\n", " \"HARD\": (p_h,a_h,b_h,s_h,k_h,th_h),\n", " \"HARD_MONO\": (p_m,a_m,b_m,s_m,k_m,th_m),\n", "}\n", "\n", "# wide plot: shows eventual rise to 1\n", "plt.figure(figsize=(11,6))\n", "for name,(p,a,b,s,k,th) in curves.items():\n", " plt.plot(x_wide, P_with(p,a,b,s,k,th,x_wide), lw=2,\n", " label=f\"{name} (a>k={a>k}, mono? {th <= theta_max(a,b,k,s)})\")\n", "plt.scatter(X[y==1], np.ones(n1), marker='x', label=\"AE\", alpha=.9)\n", "plt.scatter(X[y==0], np.zeros(n0), marker='o', label=\"NC\", alpha=.7)\n", "plt.xscale('log'); plt.ylim(-0.05,1.05); plt.grid(True,which='both')\n", "plt.xlabel(\"x (SUV)\"); plt.ylabel(\"P(AE | x)\")\n", "plt.title(\"Wide view — eventual asymptote to 1\")\n", "plt.legend(fontsize=9); plt.tight_layout()\n", "\n", "# zoom plot: EXACT to your SUVs\n", "plt.figure(figsize=(11,6))\n", "for name,(p,a,b,s,k,th) in curves.items():\n", " plt.plot(x_zoom, P_with(p,a,b,s,k,th,x_zoom), lw=2,\n", " label=f\"{name} (a>k={a>k}, mono? {th <= theta_max(a,b,k,s)})\")\n", "plt.scatter(X[y==1], np.ones(n1), marker='x', label=\"AE\", alpha=.9)\n", "plt.scatter(X[y==0], np.zeros(n0), marker='o', label=\"NC\", alpha=.7)\n", "plt.xscale('log'); plt.ylim(-0.05,1.05); plt.grid(True,which='both')\n", "plt.xlabel(\"x (SUV)\"); plt.ylabel(\"P(AE | x)\")\n", "plt.title(\"Zoomed to SUV range — monotonicity across observed data\")\n", "plt.legend(fontsize=9); plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hard-mono fit: {'p': 0.052648960657221994, 'a': 3136.756919329559, 'b': 495.7525001742291, 's': 83.82837743796327, 'k': 3115.613315475707, 'theta': 0.027046811807418247, 'theta_max': 0.027046811807418247}\n", "Nonparametric pairs: 299 successful fits.\n", "Stratified pairs: 300 successful fits.\n", "Parametric (stratified): 300 successful fits.\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# === Publication-ready CI comparison: main fill = stratified pairs; others as lines ===\n", "# Model: Conditional Bayes P(AE|x), AE~BetaPrime(a,b,scale s), NC~Gamma(k,theta)\n", "# Hard monotonicity/asymptotics: a>k and theta <= theta_max(a,b,k,s)\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize, stats\n", "\n", "# ---------- Data ----------\n", "X = np.array([\n", " 2.10530186,1.53638256,1.27440464,1.18793511,1.67463589,0.99560964,\n", " 1.29951334,1.4487505,1.41323006,0.97716498,4.15183592,1.21824968,\n", " 1.41615129,1.03924823,0.95176142,1.16912568,1.27644777,2.09301472,\n", " 1.40332818,1.31390798,1.26484132,1.01535118,0.87748241,1.47154474,\n", " 1.3867569,1.48594308,1.12360644,1.45436275,1.47734261,0.97777778,\n", " 1.36616147,1.15132082,1.50168598,1.14430678,1.19095373,2.2312088,\n", " 1.40842247,0.7728464,1.23352277,1.20050025,1.54410601,1.43738627,\n", " 1.40753829,1.30866444,1.46020007,1.29942894,1.26122737,1.17339683,\n", " 1.78620076,1.2313168,0.97633207,1.22268689,1.53426397,2.48122597,\n", " 1.51956749,1.55983913,1.23462415,1.43941736\n", "], float)\n", "\n", "y = np.array([\n", " 1,0,0,0,1,0,0,0,0,0, 1,0,0,0,0,0,0,1,0,0,\n", " 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,\n", " 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0\n", "], int)\n", "\n", "assert np.all(X>0) and len(X)==len(y)\n", "n=len(y); n1=int(y.sum()); n0=n-n1; p_emp=n1/n\n", "rng = np.random.default_rng(12345) # reproducible\n", "\n", "# ---------- Logistic (sigmoid) ----------\n", "#notation: logistic(z) = 1/(1+exp(-z))\n", "#what it does:takes any real number (can be huge negative or huge positive) and squeezes it into a probability between 0 and 1.\n", "# this is the same “sigmoid” from logistic regression.\n", "#why the clip:the computer can’t handle np.exp(1000) (it overflows to infinity). so before applying exp, we limit z into a safe window [-60, 60].\n", "# mathematically, beyond that range the sigmoid is already ~0 or ~1, so nothing changes in practice.\n", "#where it’s used: to turn the log-odds (the “judge” score) into a probability. also sometimes for priors like P_AE. \n", "\n", "\n", "def logistic(z):\n", " z = np.clip(z, -60, 60)\n", " return 1.0/(1.0+np.exp(-z))\n", "\n", "\n", "#what it does: exact same math as logistic. \n", "# logistic is used when we’re talking about probabilities from the model (like turning logit into probability). \n", "# sigmoid is used when we’re just squashing some raw optimizer variable into (0,1) for parameter constraints. \n", "# where it’s used: to constrain any parameter that must be a fraction, e.g. # P_AE, to be between 0 and 1.\n", "# also to constrain theta (the gamma scale) # its allowed range (0, θ_max).\n", "\n", "def sigmoid(t): return 1.0/(1.0+np.exp(-t))\n", "\n", "\n", "\"\"\"\"what it does:takes any real number (−∞ to +∞) and turns it into a positive number (strictly >0).it’s basically a smooth version of max(0,t). \n", "# why not just use exp(t)? exp(t) also makes positives, but it grows too fast → can blow up (exp(1000) = infinity). \n", "# softplus grows more gently and is numerically stable. \n", "# trick in the formula: the usual formula is log(1+exp(t)), but t can be very large (overflow) or very negative (underflow). \n", "# so here it’s written in a stable way: log(1+exp(-|t|)) + max(t,0).\n", "# this avoids overflow when t is large and avoids underflow when t is very negative. \n", "# where it’s used: whenever we want parameters strictly positive: b, s, k. also for the “gap” delta = a-k, which must be >0 for monotonicity.\"\"\"\"\n", "\n", "\n", "def softplus(t): # overflow-safe\n", " t = np.asarray(t, float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0.0)\n", "\n", "\"\"\"\n", " Essential log-odds contribution of x>0 under AE~BetaPrime(a,b,scale=s)\n", " vs NC~Gamma(k, theta), up to x-constant terms:\n", " dE(x) = (a-k) log x - (a+b) log(1 + x/s) + x/theta\n", " Logit is log(p/(1-p)) + dE(x). Ensures P(AE|x) -> 0 as x->0+ and -> 1 as x->inf\n", " when a>k and theta is within the monotone-safe range.\n", " \"\"\"\n", "# ---------- Model ----------\n", "def dE_ess(x, a, b, s, k, th):\n", " x = np.asarray(x, float)\n", " return (a-k)*np.log(x) - (a+b)*np.log1p(x/s) + x/th\n", " \n", " \n", "\"\"\"\n", " Global monotonicity cap for the Gamma scale theta.\n", "\n", " We need d/dx logit(x) >= 0 for all x>0, where\n", " d/dx logit = (a-k)/x - (a+b)/(s+x) + 1/theta.\n", " The minimum of g(x)=(a-k)/x - (a+b)/(s+x) over x>0 equals\n", " - (sqrt(a+b) - sqrt(a-k))^2 / s,\n", " attained at x* = s*sqrt(a-k) / (sqrt(a+b) - sqrt(a-k)).\n", " Monotonicity holds if 1/theta >= (sqrt(a+b)-sqrt(a-k))^2 / s, i.e.\n", " theta <= s / (sqrt(a+b) - sqrt(a-k))^2.\n", "\n", " Returns np.inf if a<=k or the denominator is numerically nonpositive.\n", " \"\"\"\n", "#a>k is a hard requirement. r>0 should always hold mathematically,\n", "# but if computation makes it zero or negative, the code conservatively outputs infinity.\n", "\n", "def theta_max(a,b,k,s, eps=1e-12):\n", " A = a-k\n", " if A <= 0: return np.inf\n", " r = np.sqrt(a+b) - np.sqrt(max(A, eps))\n", " if r <= 1e-12: return np.inf\n", " return s/(r*r)\n", "\n", "# phi = [p_raw, b_raw, s_raw, k_raw, delta_raw, u_raw]\n", "\"\"\"\n", " Turn raw optimizer variables into safe model parameters.\n", "\n", " Input: phi = [p_raw, b_raw, s_raw, k_raw, delta_raw, u_raw]\n", " - p_raw : unconstrained logit for AE prior probability\n", " - b_raw : unconstrained, will become >0 (BetaPrime shape b)\n", " - s_raw : unconstrained, will become >0 (BetaPrime scale s)\n", " - k_raw : unconstrained, will become >0 (Gamma shape k)\n", " - delta_raw : unconstrained, will become >0 and added to k so that a>k\n", " - u_raw : unconstrained, will control theta (Gamma scale)\n", "\n", " \n", "\n", " Returns:\n", " (p, a, b, s, k, th) = the valid model parameters\n", " \"\"\"\n", "\n", "\n", "def unpack_phi_mono(phi):\n", " p_raw,b_raw,s_raw,k_raw,d_raw,u = phi\n", " p = sigmoid(p_raw)\n", " b = softplus(b_raw) + 1e-6\n", " s = softplus(s_raw) + 1e-6\n", " k = softplus(k_raw) + 1e-6\n", " delta = softplus(d_raw) + 1e-6\n", " a = k + delta\n", " th_cap = theta_max(a,b,k,s)\n", " th = th_cap * sigmoid(u) # in (0, th_cap]\n", " return p,a,b,s,k,th\n", " \n", "\"\"\"TAU = how strong the prior is (like “pseudo-sample size”).\n", "alpha, beta = Beta prior counts, centered on the observed proportion p_emp.\n", "The max(..., 1e-6) just avoids zeros so logs don’t blow up.\n", "Ref: https://sites.stat.columbia.edu/gelman/book/BDA3.pdf\"\"\"\n", "\n", "\n", "TAU = 25.0\n", "alpha = max(TAU*p_emp, 1e-6); beta = max(TAU*(1-p_emp), 1e-6)\n", "\n", "\"\"\"Take raw phi and turn it into valid parameters. Build the logit: prior odds term log(p/(1-p)) plus the data term from dE_ess.\n", "px = logistic(z) gives predicted probabilities.eps=tiny number to keep log(0) from crashing.\"\"\"\n", "\n", "def neg_post_phi_mono(phi, X, y):\n", " p,a,b,s,k,th = unpack_phi_mono(phi)\n", " z = (np.log(p)-np.log(1-p)) + dE_ess(X,a,b,s,k,th)\n", " px = logistic(z); eps=1e-12\n", " nll = -np.sum(y*np.log(px+eps) + (1-y)*np.log(1-px+eps))\n", " \n", " \"\"\"egative log-prior from Beta(alpha, beta) on p.Encourages p to stay near the empirical AE rate, but softly.\"\"\"\n", " \n", " npr = -((alpha-1)*np.log(p+eps) + (beta-1)*np.log(1-p+eps))\n", " return nll + npr\n", "\n", "\"\"\"Gmma side (NC group): guess shape and scale from the mean and variance.Beta prime side (AE group): guess scale from the mean, set shape=1.\n", "Mixing probability p: guess from the empirical rate.Delta: just start with a small positive number (so a > k).\"\"\"\n", "# (for theta): start neutral.\n", "def init_phi(X, y):\n", " X0 = X[y==0]; m0 = X0.mean() if X0.size else X.mean(); v0 = X0.var() if X0.size else X.var()\n", " if v0 <= 0: k0, th0 = 2.0, max(m0/2, 0.1)\n", " else: k0, th0 = max((m0**2)/(v0+1e-9), 1.5), max(v0/(m0+1e-9), 0.3)\n", " X1 = X[y==1]; m1 = X1.mean() if X1.size else X.mean()\n", " p0 = np.clip(p_emp, 1e-3, 1-1e-3)\n", " b0, s0 = 1.0, max(m1, 0.5)\n", " return np.array([\n", " np.log(p0/(1-p0)),\n", " np.log(np.expm1(b0)+1e-9),\n", " np.log(np.expm1(s0)+1e-9),\n", " np.log(np.expm1(k0)+1e-9),\n", " np.log(np.expm1(1.0)+1e-9),\n", " 0.0\n", " ], float)\n", "\n", "\"\"\" fit_hard_mono finds the MAP parameters of the model under hard motonicity constraints. \n", "It doesn’t directly optimize the constrained parameters; it optimizes the unconstrained “raw” vector phi, \n", "then maps it to valid parameters with unpack_phi_mono (which enforces a>k and θ≤θ_max). \n", "So the optimizer can roam free while the mapping keeps it out of trouble\"\"\"\n", "\n", "#phi_start: optional starting point in raw space. If missing, it builds one with init_phi(X, y).\n", " # mxtries=6: how many times we’ll retry the fit if the optimizer chokes.\n", "#jiter=0.3: standard deviation of the noise added to the starting point between retries.\n", "\n", "\n", "def fit_hard_mono(X, y, phi_start=None, maxtries=6, jitter=0.3):\n", " if phi_start is None: phi_start = init_phi(X, y)\n", " phi = phi_start.copy()\n", " for _ in range(maxtries):\n", " res = optimize.minimize(\n", " neg_post_phi_mono, phi, args=(X,y),\n", " method=\"L-BFGS-B\", options=dict(maxiter=12000, ftol=1e-10)\n", " )\n", " if res.success and np.isfinite(res.fun):\n", " return unpack_phi_mono(res.x), res\n", " phi = phi + rng.normal(0, jitter, size=phi.shape)\n", " raise RuntimeError(\"Fit failed.\")\n", " \n", "\"\"\"is chunk defines how to get predicted probabilities from parameters, runs the fitting routine, and prints the fitted \n", "numbers so you can check whether they look reasonable and whether θ is bumping into its allowed maximum.\"\"\"\n", "\n", "\n", "def P_with(theta, x):\n", " p,a,b,s,k,th = theta\n", " L = (np.log(p)-np.log(1-p)) + dE_ess(x,a,b,s,k,th)\n", " return logistic(L)\n", "\n", "theta_hat, res = fit_hard_mono(X, y)\n", "p_hat,a_hat,b_hat,s_hat,k_hat,th_hat = theta_hat\n", "print(\"Hard-mono fit:\",\n", " {\"p\":p_hat,\"a\":a_hat,\"b\":b_hat,\"s\":s_hat,\"k\":k_hat,\"theta\":th_hat,\n", " \"theta_max\":theta_max(a_hat,b_hat,k_hat,s_hat)})\n", "\n", "# ---------- Wald (Delta on logit, monotone-projected) ----------\n", "def num_hessian(f, x, args=(), h=1e-4):\n", " x = np.asarray(x, float); m = x.size\n", " H = np.zeros((m,m), float); f0 = f(x,*args)\n", " for i in range(m):\n", " ei = np.zeros(m); ei[i]=1.0\n", " fp = f(x+h*ei,*args); fm = f(x-h*ei,*args)\n", " H[i,i] = (fp - 2*f0 + fm)/(h*h)\n", " for j in range(i+1, m):\n", " ej = np.zeros(m); ej[j]=1.0\n", " fpp = f(x+h*ei+h*ej,*args); fpm = f(x+h*ei-h*ej,*args)\n", " fmp = f(x-h*ei+h*ej,*args); fmm = f(x-h*ei-h*ej,*args)\n", " H_ij = (fpp - fpm - fmp + fmm)/(4*h*h)\n", " H[i,j]=H[j,i]=H_ij\n", " return H\n", "\n", "#the Jacobian is not decoration — it’s the coordinate translator. \n", "# Without it, your standard errors and confidence intervals for θ would be wrong, \n", "# because φ and θ are linked by squashing functions (sigmoid, softplus).\n", "def jac_theta_phi(phi):\n", " p_raw,b_raw,s_raw,k_raw,d_raw,u = phi\n", " p,a,b,s,k,th = unpack_phi_mono(phi)\n", " dp = sigmoid(p_raw)*(1-sigmoid(p_raw))\n", " db = sigmoid(b_raw); ds = sigmoid(s_raw); dk = sigmoid(k_raw); dd = sigmoid(d_raw)\n", " da_dk, da_dd = dk, dd\n", " eps=1e-12; A=max(a-k,eps); r1=np.sqrt(a+b); r2=np.sqrt(A); r=max(r1-r2,1e-8); th_cap=s/(r*r)\n", " dr_da = 0.5/np.sqrt(a+b) - 0.5/np.sqrt(A)\n", " dr_db = 0.5/np.sqrt(a+b)\n", " dr_dk = 0.5/np.sqrt(A)\n", " dcap_ds = 1.0/(r*r); dcap_dr = -2.0*s/(r**3)\n", " dcap_da = dcap_dr*dr_da; dcap_db = dcap_dr*dr_db; dcap_dk = dcap_dr*dr_dk\n", " su = sigmoid(u); du = su*(1-su); dth_dcap = su; dth_du = th_cap*du\n", " dth_dbraw = dth_dcap*dcap_db*db\n", " dth_dsraw = dth_dcap*dcap_ds*ds\n", " dth_dkraw = dth_dcap*(dcap_dk + dcap_da*da_dk)*dk\n", " dth_ddraw = dth_dcap*(dcap_da*da_dd)*dd\n", " dth_duraw = dth_du\n", " J = np.zeros((6,6))\n", " J[0,0]=dp; J[1,3]=da_dk; J[1,4]=da_dd; J[2,1]=db; J[3,2]=ds; J[4,3]=dk\n", " J[5,1]=dth_dbraw; J[5,2]=dth_dsraw; J[5,3]=dth_dkraw; J[5,4]=dth_ddraw; J[5,5]=dth_duraw\n", " return J\n", "\n", "def grad_logitP_theta(x, theta_vec):\n", " p,a,b,s,k,th = theta_vec\n", " lx = np.log(x); L1 = np.log1p(x/s)\n", " return np.array([\n", " 1.0/(p*(1-p)), # d/dp\n", " lx - L1, # d/da\n", " -L1, # d/db\n", " (a+b)*x/(s*(s+x)), # d/ds\n", " -lx, # d/dk\n", " -x/(th*th) # d/dtheta\n", " ])\n", "\n", "#Make the logit band monotone (because the model is)\n", "def monotone_project_logit(x, L):\n", " L = np.array(L, float)\n", " for i in range(1, L.size):\n", " if L[i] < L[i-1]:\n", " L[i] = L[i-1]\n", " return L\n", "\n", "phi_hat = res.x.copy()\n", "H_phi = num_hessian(neg_post_phi_mono, phi_hat, args=(X,y))\n", "try: cov_phi = np.linalg.inv(H_phi)\n", "except np.linalg.LinAlgError: cov_phi = np.linalg.pinv(H_phi)\n", "J = jac_theta_phi(phi_hat)\n", "cov_theta = J @ cov_phi @ J.T\n", "\n", "xg = np.linspace(X.min()*0.6, max(10.0, X.max()*1.6), 450)\n", "P_hat = P_with(theta_hat, xg)\n", "theta_vec = np.array([p_hat,a_hat,b_hat,s_hat,k_hat,th_hat])\n", "\n", "L_hat = (np.log(p_hat)-np.log(1-p_hat)) + dE_ess(xg, a_hat,b_hat,s_hat,k_hat,th_hat)\n", "se_L = np.empty_like(xg)\n", "for i, xv in enumerate(xg):\n", " g = grad_logitP_theta(xv, theta_vec)\n", " var_L = float(g @ cov_theta @ g); se_L[i] = np.sqrt(max(var_L, 0.0))\n", "\n", "z = 1.96\n", "L_lo = monotone_project_logit(xg, L_hat - z*se_L)\n", "L_hi = monotone_project_logit(xg, L_hat + z*se_L)\n", "wald_lo, wald_hi = logistic(L_lo), logistic(L_hi)\n", "\n", "# ---------- Bootstraps ----------\n", "def fit_curve_boot(Xb, yb, xg, phi_seed=None, tries=8, jitter=0.35):\n", " if phi_seed is None: phi_seed = init_phi(Xb, yb)\n", " phi = phi_seed.copy()\n", " for _ in range(tries):\n", " try:\n", " th_b, _ = fit_hard_mono(Xb, yb, phi_start=phi)\n", " return P_with(th_b, xg)\n", " except Exception:\n", " phi = phi + rng.normal(0, jitter, size=phi.shape)\n", " raise RuntimeError(\"boot fit failed\")\n", "\n", "B = 300\n", "\n", "# Nonparametric pairs\n", "P_np = []\n", "for _ in range(B):\n", " idx = rng.integers(0, n, n)\n", " Xb, yb = X[idx], y[idx]\n", " if len(np.unique(yb)) < 2:\n", " continue\n", " try:\n", " P_np.append(fit_curve_boot(Xb, yb, xg, phi_seed=phi_hat))\n", " except Exception:\n", " pass\n", "P_np = np.vstack(P_np) if len(P_np) else np.empty((0, xg.size))\n", "np_lo = np.percentile(P_np, 2.5, axis=0) if P_np.shape[0] else np.full_like(xg, np.nan)\n", "np_hi = np.percentile(P_np,97.5, axis=0) if P_np.shape[0] else np.full_like(xg, np.nan)\n", "print(f\"Nonparametric pairs: {P_np.shape[0]} successful fits.\")\n", "\n", "# Stratified pairs (primary)\n", "idx1 = np.where(y==1)[0]; idx0 = np.where(y==0)[0]\n", "P_st = []\n", "for _ in range(B):\n", " b_idx = np.concatenate([\n", " rng.choice(idx1, size=n1, replace=True),\n", " rng.choice(idx0, size=n0, replace=True)\n", " ])\n", " Xb, yb = X[b_idx], y[b_idx]\n", " try:\n", " P_st.append(fit_curve_boot(Xb, yb, xg, phi_seed=phi_hat))\n", " except Exception:\n", " pass\n", "P_st = np.vstack(P_st) if len(P_st) else np.empty((0, xg.size))\n", "st_lo = np.percentile(P_st, 2.5, axis=0) if P_st.shape[0] else np.full_like(xg, np.nan)\n", "st_hi = np.percentile(P_st,97.5, axis=0) if P_st.shape[0] else np.full_like(xg, np.nan)\n", "print(f\"Stratified pairs: {P_st.shape[0]} successful fits.\")\n", "\n", "# Parametric (stratified counts)\n", "def sample_from_model_stratified(n1, n0, theta, rng):\n", " p,a,b,s,k,th = theta\n", " ysim = np.array([1]*n1 + [0]*n0, int); rng.shuffle(ysim)\n", " try: xAE = stats.betaprime.rvs(a=a, b=b, scale=s, size=n1, random_state=rng)\n", " except TypeError: xAE = stats.betaprime.rvs(a=a, b=b, scale=s, size=n1)\n", " try: xNC = stats.gamma.rvs(a=k, scale=th, size=n0, random_state=rng)\n", " except TypeError: xNC = stats.gamma.rvs(a=k, scale=th, size=n0)\n", " xsim = np.empty(n1+n0, float); xsim[ysim==1]=xAE; xsim[ysim==0]=xNC\n", " return xsim, ysim\n", "\n", "P_pb = []\n", "for _ in range(B):\n", " Xb, yb = sample_from_model_stratified(n1, n0, theta_hat, rng)\n", " try:\n", " P_pb.append(fit_curve_boot(Xb, yb, xg, phi_seed=phi_hat))\n", " except Exception:\n", " pass\n", "P_pb = np.vstack(P_pb) if len(P_pb) else np.empty((0, xg.size))\n", "pb_lo = np.percentile(P_pb, 2.5, axis=0) if P_pb.shape[0] else np.full_like(xg, np.nan)\n", "pb_hi = np.percentile(P_pb,97.5, axis=0) if P_pb.shape[0] else np.full_like(xg, np.nan)\n", "print(f\"Parametric (stratified): {P_pb.shape[0]} successful fits.\")\n", "\n", "# ---------- Plot (publication style) ----------\n", "plt.figure(figsize=(12,6.3))\n", "plt.plot(xg, P_hat, 'k-', lw=2.4, label=\"MAP (hard-mono)\")\n", "\n", "# main band: stratified pairs\n", "if np.all(np.isfinite(st_lo)):\n", " plt.fill_between(xg, st_lo, st_hi, color='#81c784', alpha=0.35, label=\"95% Stratified pairs\")\n", "\n", "# other bands as lines\n", "if np.all(np.isfinite(np_lo)):\n", " plt.plot(xg, np_lo, color='#377eb8', ls='--', lw=2.0, label=\"95% Nonparam pairs (lo)\")\n", " plt.plot(xg, np_hi, color='#377eb8', ls='--', lw=2.0, label=\"95% Nonparam pairs (hi)\")\n", "if np.all(np.isfinite(pb_lo)):\n", " plt.plot(xg, pb_lo, color='#984ea3', ls=':', lw=2.2, label=\"95% Parametric (lo)\")\n", " plt.plot(xg, pb_hi, color='#984ea3', ls=':', lw=2.2, label=\"95% Parametric (hi)\")\n", "plt.plot(xg, wald_lo, color='0.25', ls='-.', lw=1.8, label=\"95% Wald (lo)\")\n", "plt.plot(xg, wald_hi, color='0.25', ls='-.', lw=1.8, label=\"95% Wald (hi)\")\n", "\n", "# data + observed range\n", "plt.scatter(X[y==1], np.ones(n1), marker='x', s=60, c='C3', label=\"AE\")\n", "plt.scatter(X[y==0], np.zeros(n0), marker='o', s=38, c='C4', label=\"NC\")\n", "xmin, xmax = X.min(), X.max()\n", "plt.axvspan(xmin, xmax, color='k', alpha=0.06, label='observed SUV range')\n", "\n", "plt.xscale(\"log\")\n", "plt.ylim(-0.05, 1.05)\n", "plt.grid(True, which=\"both\", alpha=0.35)\n", "plt.xlabel(\"SUV (x)\"); plt.ylabel(\"P(AE | x)\")\n", "plt.title(\"Conditional Bayes (AE=BetaPrime, NC=Gamma) — Monotone Fit with Four CI Bands\")\n", "\n", "# dedupe legend\n", "handles, labels = plt.gca().get_legend_handles_labels()\n", "H,L,seen = [],[],set()\n", "for h,l in zip(handles,labels):\n", " if l not in seen:\n", " H.append(h); L.append(l); seen.add(l)\n", "plt.legend(H, L, fontsize=9, ncol=2, frameon=True)\n", "plt.tight_layout()\n", "\n", "# save vector + raster\n", "plt.savefig(\"ci_comparison_publication.pdf\")\n", "plt.savefig(\"ci_comparison_publication.png\", dpi=300)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "5d8b7fec", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "9.99999993922529e-09\n", "1.000000005e-08\n" ] } ], "source": [ "import numpy as np\n", "\n", "x = 1e-8\n", "print(np.exp(x) - 1) # loses precision\n", "print(np.expm1(x)) # stable, accurate\n" ] }, { "cell_type": "code", "execution_count": null, "id": "f7bc025e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hard-mono fit WITH CONST: {'p': 6.634127271132016e-13, 'a': 978.2303503041937, 'b': 690.6602352727483, 's': 0.8981282760444974, 'k': 120.11794723938715, 'theta': 0.006722569357633076, 'theta_max': 0.006722569357633076}\n" ] }, { "data": { "image/png": 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x6NAh9OnTB1FRUVVergwODgYAJCcn33SfgwcPxvnz53HhwgWUlpZi586dGDFiBAYOHIhNmzYBsFxS0Gg01ktatTVu3Dibx507d0ZpaSnS09NvuW1oaCh69uxpt33F9y0AfPnll+jbty88PT2hVCqhUqmQkJBQ6ft20KBB8PPzsymr7vuvqs9iubCwMJtLv/7+/ggODkbXrl0RHh5uLW/Xrh2A65fYi4qKsHfvXtx3333w9PS0iWHSpEm4cuWKzeUuoPLXteI+yz+HN15u6tmzJ9q1a1fp5aHGkJubi+LiYut7tdyZM2dw7tw5TJs2zfp5vVFDvE5du3aFWq3GY489hv/+9784f/58jdpT0+/NW8VTn0aPHg2FQlHlsarzmtfV1q1b0aFDB3Tp0sWmfMKECTaPd+3ahezsbEyePNnmMyZJEkaMGIH9+/ejqKgIRUVF2L9/P+655x6bmL28vDB27NhKY6ju96IzYWLmYPHx8fjb3/6GL7/8EikpKXjuuedw8eJF6wSAefPmQaVSWX9iYmIAAD4+Pti+fTu6du2Kl156CR06dEB4eDhee+01u7Exlc1G0Wg0KCkpsT6ePXs2XnnlFdx1111Yv3499u7di/3796NLly429cqFhoZWWpaVlQXAMrYIAP7617/axK9SqTBz5kwAsCafWVlZVe6vJjZv3oz9+/fjyJEjyMzMxM6dO20GxpaUlEClUtl8WZVLSEiAVqvFiBEjkJubi9zcXHTu3BnR0dFYuXKl3R9huVyO+Ph4u582bdrUKObquO2229ChQweUlpbiiSeegIeHR6X1yr+oKjtfFQ0ZMgSA5fXauXMnjEYjBg0ahCFDhlj/YG/evBl9+/at88D4G997Go2mWjFWtm359hW3XbduHe6//35ERERg1apV2L17N/bv349HHnkEpaWldtuHhYXZlVX3/VfVZ7Gcv7+/3T7UarVduVqtBgBrfDk5ORBCVBpbeUJX/rkqd6vXtbx+Vfu8cX+NpTy+GxOBjIwMALjpxIKGeJ1iYmKwefNmBAcH48knn0RMTAxiYmLw/vvvV6s9Nf3erMvnoaZudazqvOZ1Vd3PVvnfi/vuu8/u78Xbb78NIQSys7ORk5MDSZJq9Peiut+LzoSzMp2ISqXCa6+9hn/96184fvw4AOCxxx7DmDFjrHXKP1wA0KlTJ6xduxZCCPz+++9YuXIl5s2bB51Ohzlz5tTo2KtWrcLDDz+Mt956y6Y8MzMTvr6+dvXT0tIqLSv/MijvlZo7d26VMyBjY2MBWL5AqtpfTXTp0qXS3rBygYGBKCsrQ1FRkU1yc+bMGezcuRMAEBUVVem2GzduxKhRo2oUT3157bXXcOzYMcTFxeHVV1/FmDFj0LJlS7t62dnZAHDT1wCwfBG3adMGmzdvRnR0NOLj4+Hr64vBgwdj5syZ2Lt3L/bs2WNdIsCZrVq1Ci1atEBiYqJND67BYKi0fmUDqav7/rvZZ7Eu/Pz8IJfLkZqaavdc+UD1W53TG5V/DlNTU+3+8KakpNR4f/WlPK7y92q58gH2N5uY0BCvEwD069cP/fr1g9lsxoEDB7B48WLMmjULISEheOCBB266bU2/N51JdV7zqmi12ko/Y5mZmTbnoLqfrfJtFi9eXOVs95CQEBiNRshkshr9vaju96IzYY+Zg1T25QLA2v1d/i/A8PBwmx6ZTp062W0jk8nQpUsX/Otf/4Kvr2+tFhqVyWR2f2h+/PHHKrt/16xZYzPL5dKlS9i1a5d1Rk5sbCxat26No0ePVtqzFB8fb728OnDgQPzyyy/WfzUBgNlsRmJiYo3bcTNt27YFAJw7d86mPCEhAQDw8ccfY+vWrTY/GzZsgEqlwvLly+s1luratGkT5s+fj7///e/YtGkTfHx8MH78eOtaaxWdP38ecrncmvDezJAhQ7BlyxZs2rQJQ4cOBWBZDy0qKgqvvvoqjEajtWetKg35r/3qKl9QuGLClZaWVumszKpU9/1Xnc9ibXh4eOC2227DunXrbF5LSZKwatUqayJdE4MGDQJgSRwq2r9/P06dOoXBgwfXPfBrbuzFvBm1Wo2WLVvafQbbtGmDmJgYLF++vMqkuiFep4oUCgVuu+02fPDBBwBg/R692fu8pt+b1VGT17MuqvOaVyU6Ohq///67TdmZM2fsLiUPHDgQJ06cwNGjR23KP//8c5vHffv2ha+vL06ePFnl3wu1Wg0PDw/07NkT69ats+kRLygosJu9Xq788nRTWlaEPWYOMnz4cDRr1gxjx45F27ZtIUkSjhw5gn/+85/w9PTEs88+e9Ptf/jhByxZsgR33XUXWrZsCSEE1q1bh9zcXOsf2poYM2YMVq5cibZt26Jz5844ePAg3nnnnSq7udPT03H33Xdbl5V47bXXoNVqMXfuXGudDz/8ECNHjsTw4cMxZcoUREREIDs7G6dOncKhQ4esSzb8/e9/x/fff49Bgwbh1VdfhV6vxwcffICioqIat+NmypPGPXv2WMdbmEwmfPrpp2jXrh2mT59e6XZjx47F999/j4yMDOu/MiVJqnTqOQB069atXnpTUlNTretIvfbaa5DL5UhMTMQdd9yBF1980W5F6z179qBr1652Y6gqM3jwYCxZsgSZmZk2+xk8eDBWrFgBPz8/m/FSlfHy8kLz5s3x3XffYfDgwfD390dgYOAtl0uoT2PGjMG6deswc+ZM3Hfffbh8+TLeeOMNhIWF4ezZs9XaR2O9/25m/vz5GDp0KAYOHIi//vWvUKvVWLJkCY4fP441a9bUeL2v2NhYPPbYY1i8eDHkcjlGjhyJixcv4pVXXkFkZCSee+65eou9vOc+MTERLVu2hFarvWnSOmDAAPzvf/+zK//ggw8wduxY9OrVC8899xyioqKQlJSEjRs3YvXq1QDq/3VatmwZtmzZgtGjRyMqKgqlpaXWf4SV/8PkZu/zmn5vVkenTp2wbt06LF26FHFxcdZhEw2hOq95ZSZNmoSJEydi5syZuPfee3Hp0iUsXLjQ+v1YbtasWVi+fDlGjx6NN998EyEhIVi9ejVOnz5tU8/T0xOLFy/G5MmTkZ2djfvuuw/BwcHIyMjA0aNHkZGRgaVLlwIA3njjDYwYMQJDhw7F888/D7PZjLfffhseHh52PbGA5XtRoVDgjjvuqIdXrJE4cOKBW0tMTBQTJkwQrVu3Fp6enkKlUomoqCgxadIkm+UuqnL69Gnx4IMPipiYGKHT6YSPj4/o2bOnWLlypU09AOLJJ5+02/7GWTU5OTli2rRpIjg4WOj1enH77beLHTt22M2yKZ9d9Nlnn4lnnnlGBAUFCY1GI/r162czI63c0aNHxf333y+Cg4OFSqUSoaGhYtCgQWLZsmU29X777TfrMgKhoaHihRdeEB999FGdlsuoTL9+/WxmRn377bcCgFi0aFGV25RPl//nP/8phLj5rEwA4uzZszeNoTqzMk0mk+jfv78ICQmxziAr98477wgA4ptvvrGWFRQUCL1eb43xVnJycoRcLhceHh42S7WsXr1aABD33HOP3TY3vheEsExd79atm9BoNAKA9T1V1TmpbIZXZfr37y86dOhgVz558mS7GWsLFiwQ0dHRQqPRiHbt2omPP/640tmDVX0WhKjb++9m8TZv3lyMHj3arryyWHbs2CEGDRokPDw8hE6nE7169RLr16+3qVP++u3fv9+mvPxzWXH5AbPZLN5++23Rpk0boVKpRGBgoJg4caK4fPnyLdtTk1mZFy9eFMOGDRNeXl4CwC1nFP7yyy8CgNi3b5/dc7t37xYjR44UPj4+QqPRiJiYGJvZjULU7+u0e/ducffdd4vmzZsLjUYjAgICRP/+/cX3339vs11V7/Oafm/e+HqWz6CsuHxQdna2uO+++4Svr6+QyWS3/K6oalbmO++8Y1cXlcwuvdVrXtlnVpIksXDhQtGyZUuh1WpFfHy82LJlS6XfESdPnhRDhw4VWq1W+Pv7i2nTponvvvvO7v0qhGX5kdGjRwt/f3+hUqlERESEGD16tN3r9v3334vOnTsLtVotoqKixIIFCyp9bwph+c6/cbans5MJ0ZRWXSNH27ZtGwYOHIgvv/wS9913n6PDqbGvv/4a48ePx6VLlxAREeGQGFauXImpU6fW64KHCQkJePbZZ3H58uVq9ZgROVLnzp3Rt29fay8IUUM4d+4cWrdujY0bN9bqSpKjcIwZuZV77rkHPXr0wPz58x0dSr0xmUx4++23MXfuXCZl1CSU36+2NgPPiarrzTffxODBg5tUUgYwMSM3I5PJ8PHHHyM8PNzm1j5N2eXLlzFx4kQ8//zzjg6FqFpGjBiBd955BxcuXHB0KOSiTCYTYmJirJM5mhJeyiRqZA1xKZOIiFwDEzMiIiIiJ8FLmUREREROgokZERERkZNwywVmJUlCSkoKvLy8arwgIREREVFNCCFQUFCA8PBwyOU37xNzy8QsJSUFkZGRjg6DiIiI3Mjly5dveWcIt0zMyu/RePnyZXh7ezs4mpqRJMl6a6BbZd2uxl3bznaz3e6A7Wa7XVl+fj4iIyOt+cfNuGViVn750tvbu0kmZqWlpfD29naLN3NF7tp2tpvtdgdsN9vtDqozfMp9Xg0iIiIiJ+eWPWZEVIXMP4GLvwLFWYB3BNByIOAd5uioiIjcBhMzIrJI2gMcXQvg2prTeVeA5ENAryeAgBiHhkZE5C54KZOIALMJOLUe1qSsnGQETn3vkJCIiNwREzMiAvKSgLLCyp/LuQgYSxo1HCIid8XEjIgAhbrq52QKQM5RD0REjYGJGREBPs0AryoG+Yd1BhSqxo2HiMhNMTEjIotuEwG1p22ZZyjQ4R7HxENE5IZ4fYKILHyaAYNfBVIOX18uI7Qz4EaLPxIROZrDv3F//fVXjB07FuHh4ZDJZPj2229vuc327dsRFxcHrVaLli1bYtmyZQ0fKJE7UGqAqF5A29FAeFcmZUREjczh37pFRUXo0qUL/vOf/1Sr/oULFzBq1Cj069cPhw8fxksvvYRnnnkGX3/9dQNHSkRERNSwHH4pc+TIkRg5cmS16y9btgxRUVFYtGgRAKBdu3Y4cOAA3n33Xdx7770NFCW5pLxk4Mo+y1IQAa2A8O6AwuEfCaImT5IESoxmFJWZUGaSYDILGM0SjNf+b5Iq/G4WKDNLMJsl5OblwfuqGZDJIAQgCcu6euW/C2FZaU+69ouAgCRwrdzyfH2px11d22Hle5SEQEFBAby8SiCvxn0Urburr7gcRJIECgsL4OlZArm8+u1uqkqKCqpdt8n9Fdq9ezeGDRtmUzZ8+HAkJCTAaDRCpbKfPWYwGGAwGKyP8/PzAVhuoipJUsMGXM8kSYIQosnFXR/qte0XdwLHv4H16y1pH3D+V6DXTEClrfv+61G12202AuknAWMx4N8K8AxqnAAbiLu+152t3cVlJqTmliI5twTpBQbkFJchq6gMOUVG5BSXIafYiCKDCcVlJhQZzCgxmlFcZnZ02ERORTIUV7tuk0vM0tLSEBISYlMWEhICk8mEzMxMhIXZT/mfP38+Xn/9dbvyjIwMlJaWNlisDUGSJOTl5UEIAbmbjf+pt7aXFQMndgDwsy3PKwaO/QI061GnOOtbtdqdnwr8uRkwlS8E+wsQ2BZo0Q+owb/CnYm7vtcd0W6TJJCSZ8CFrFJcyC7B+axSXMopRVq+AXmlTLKIGlOTS8wAQHbDHxpxrYv4xvJyc+fOxezZs62P8/PzERkZiaCgIHh7ezdcoA1AkiTIZDIEBQW51R8roB7bnrQbEBmVP5f3O9B9dO333QBu2W6zETj8b8BUbOkANOQCpXlA/jHA3xNoM6KxQ64X7vpeb4x25xaXYd/FHBxOysWRy7n4/UoeSoy1T8A0Sjk81Aro1Ep4qBXQaxTQq5XQqxXQKOVQKuRQKWRQyeVQKeRQKmRQXStTymVQKuSQyyxjjr08PSGXyyCXATLIIJPBeomv/HdZhd9h+Q8ymWWb+mQ5Uj3ur5LdSZJAQUE+vLy8a3xJz1pbMgPpJ4DsC5bvA68wILQToHXev2+WS7jX2t1E//FYE8WFBZi0qHp1m1xiFhoairS0NJuy9PR0KJVKBAQEVLqNRqOBRqOxK5fL5U3yC18mkzXZ2Ouq3touq2KEhkw45UzEm7Y79QRgKgIgARmnLElZuR3vAt7hlhmWTZC7vtfru91mSeBQUg5+PZOBX89m4vcrubccj6WQyxDqrUWErw7hvlqE++oQ6qOFv4f6+o9eDV+9Gmpl3eOUJAnp6ekIDg52q/NdL+3eswyQTgG+5QUXgYKjQNfnAY/A+gm0nrnb+S4fQlUdTS4x6927N9avX29T9vPPPyM+Pr7S8WVEdkLaA8flgKhkDE9op8aPp67Kiiz/z0+xTcoAwGQAjnwOBLV1urFz1LCEEDiUlIsffk/Bj7+nIr3AUGXdCF8dOjfzQesQL7QJ8UTrYC9EB+qhUSoaMWKqlaxzln+Q3chYDJzbAnS+v/FjojpxeGJWWFiIP//80/r4woULOHLkCPz9/REVFYW5c+ciOTkZn376KQBgxowZ+M9//oPZs2fj0Ucfxe7du5GQkIA1a9Y4qgnU1Oj8gNjRwGnbBB+eoUCrIY6JqS4CYiz/L6rk8qzWBzAbgLRjQKRzjZ2jhpFTVIavDl7Bqr2XcCmr8gHHbUO90K91IOKj/dEt0hfB3kzam6zs87V7jpyWwxOzAwcOYODAgdbH5WPBJk+ejJUrVyI1NRVJSUnW51u0aIENGzbgueeewwcffIDw8HD8+9//5lIZVDOthwD+LYDL+yz/sgxsDTTr2TR7lbzDgYg44MoB23K5AvCJsPxuLmv8uKhR/ZFWgI93nMf6oykwmGx7g9UKOe5oE4ThHUJwR5sghDARcx1qj9o9R07L4YnZgAEDrIP3K7Ny5Uq7sv79++PQoUMNGBW5hYCY671NTV3XiZZLGue3ApLJ0lPm3QxQ6QHIgOB2jo6QGsjptHz8+5ez2HAsze65vq0CcFfXCAzrEAofHYd6uKTwbsDJ7wBTJSsMRPVu/HiozhyemBFRPZDLgb7PAhD248xiBgF6f4eERQ3nUlYR3v7ptF1C5qVV4i9xkZjYKwotgzyr2JpchkoHxE8DDq4EjNfGm8rkQIv+QLN4h4ZGtcPEjMhV6P2Bfs8DF34Fsv4E1J5AZE8grIujI6N6VFxmwpKt5/DRjvMoq3DJMtBTgxn9W2LCbVHQq/nV7laC2gBDX7+2wHSpZWgG/zHWZPHTS+RKtD5Au7GOjoIayIZjqXjjh5NIzbt+2SrQU4MnBsRgQs8o6NScRem2FCr+I8xFMDEjInJyOUVleOW74/jh91RrmUohw7TbW+KpQa3gqeFXOZGr4KeZiMiJ/XLqKuasO4aMCuuQDYgNwqtj2nMMGZELYmJGROSEDCYz5v/vJD7dfcla5qNTYd6dHTCuS3iVt6AjoqaNiRkRkZNJyy/D41/txdEr12fYDmobjPn3dOIaZEQujokZEZET2XE2A8+sOYm8UstNxdVKOV4f1wEP9IhkLxmRG2BiRkTkJFb8dgHzfjhpvcF4pL8OSx+KQ8cIH8cGRkSNhokZEZGDmSWBN388iRW/XbSWDWobhH/d3w0+eq7YT+ROmJgRETlQcZkJz649gk0nr1rLJvcIxSt3doVSyXXJiNwNEzMiIgfJLS7DlBX7ceRyLgBAKZfhzbs6YECUBnI5x5MRuSMmZkREDpBRYMCkhL04nVYAAPDSKLF0Yhz6xPgjPT3dwdERkaMwMSMiamQpuSWY+MlenM+03HQ60FODz6b1RLswb0iSdIuticiVMTEjImpESVnFePDjPUjOLQEAhPtosfrRXmgR6OHgyIjIGTAxIyJqJFdybJOy6AA9Vj/aCxG+OgdHRkTOgokZEVEjSMsrxUOf7LUmZa2DPbH60dsQ7MWV/InoOrmjAyAicnUZBQZM+GQPLmUVAwBaBnowKSOiSjExIyJqQNlFZZaB/hmWgf5R/np8/mgvJmVEVCkmZkREDaTQYMLDy/fij6uWJTEifHX4/NHbEOrDpIyIKsfEjIioARjNEmauPoTjyfkAgBBvDVZPvw3N/PQOjoyInBkTMyKieiaEwN+/OY5fz2QAAHx0KqyefhuiuSQGEd0CEzMionq2eMufSDxwGQCgVsjx8cPxaBXs5eCoiKgpYGJGRFSPvjp4Be9tOmN9/M/7u6BnC38HRkRETQkTMyKierLzbCbmfP279fFLo9pibJdwB0ZERE0NEzMionpwKjUfM1YdhEkSAICHezfHo/1aOjgqImpqmJgREdVRal4Jpq7Yj0KDCQAwpF0IXhvbATKZzMGREVFTw8SMiKgO8kuNmLpiP9LySwEAXSJ9sfjBblDImZQRUc0xMSMiqqUyk4SZqw7hdJplAdkofz0SJsdDp1Y4ODIiaqqYmBER1YIQAnPW/Y6df2YCAPz0Kqyc2gOBnhoHR0ZETRkTMyKiWvjX5rNYdygZAKBWyvHJ5Hi0DPJ0cFRE1NQxMSMiqqHE/Un49y9nAQAyGfD++K6Ia861yoio7piYERHVwPYzGXjpm+PWx38f3R4jO4U5MCIiciVMzIiIqul4ch5mrjoI87W1yqb2jca021s4OCoiciVMzIiIqiE5twSPrNyPojIzAGBEh1D8fXR7B0dFRK6GiRkR0S3klRgxdcU+pBcYAADdo3yx6IGuXKuMiOodEzMiopswmMx4/LMDOHO1EAAQHaDHJ5N7QKviWmVEVP+YmBERVUEIgb999Tv2nM8GAPh7qLFyak/4e6gdHBkRuSomZkREVXj7pz/w7ZEUAIBWJUfC5HhEB3o4OCoicmVMzIiIKrHytwtYtv0cgGtrlT3QDd2i/BwcFRG5OiZmREQ3+PH3VLz+w0nr43l3dsTwDqEOjIiI3AUTMyKiCvacz8JziUcgLEuV4cmBMZjUq7ljgyIit8HEjIjomtNp+Xj00wMoM0sAgPvimuGvw2IdHBURuRMmZkREAFJySzBl+X4UlJoAAANigzD/nk6QybhWGRE1HiZmROT2MgsNmJiwF2n5pQCAzs188MGE7lAp+BVJRI2L3zpE5NZyi8sw8ZO9OJ9RBMCygOzyKT3goVE6ODIickdMzIjIbRWUGjF5xX6cTisAAIT5aPHZtNsQ6KlxcGRE5K6YmBGRWyopM2Pafw/g6OVcAECgpwarp9+GSH+9YwMjIrfGxIyI3E6p0YzHVx3EvguWWy356lVYNb0nWgZ5OjgyInJ3HERBRG6lpMyMxz47gB1nMwEAnholPn2kJ9qGejs4MiIiJmZE5EaKDCZM++9+603J9WoFVkztgc7NfB0bGBHRNUzMiMgt5JcaMXXFfhy8lAPA0lO2cmoPxEf7OzgyIqLrnGKM2ZIlS9CiRQtotVrExcVhx44dN62/evVqdOnSBXq9HmFhYZg6dSqysrIaKVoiamoyCgx46OO91qTMW6vEqum3MSkjIqfj8MQsMTERs2bNwssvv4zDhw+jX79+GDlyJJKSkiqtv3PnTjz88MOYNm0aTpw4gS+//BL79+/H9OnTGzlyImoKzmcU4t6lu3AsOQ8A4KdX4fNHe6FrpK9jAyMiqoTDE7P33nsP06ZNw/Tp09GuXTssWrQIkZGRWLp0aaX19+zZg+joaDzzzDNo0aIFbr/9djz++OM4cOBAI0dORM7uUFIO7l26C0nZxQAs65QlPt4bHSN8HBwZEVHlHDrGrKysDAcPHsScOXNsyocNG4Zdu3ZVuk2fPn3w8ssvY8OGDRg5ciTS09Px1VdfYfTo0VUex2AwwGAwWB/n5+cDACRJgiRJ9dCSxiNJEoQQTS7u+uCubWe7a9fuDcdS8devfkep0bJ9bKgXVkyOR6iP1qlfS55vttsduFu7a9JOhyZmmZmZMJvNCAkJsSkPCQlBWlpapdv06dMHq1evxvjx41FaWgqTyYRx48Zh8eLFVR5n/vz5eP311+3KMzIyUFpaWrdGNDJJkpCXlwchBORyh3d4Nip3bTvbXbN2myWBD3el4NMD179D4pp54e2xMZAb8pGent8Q4dYbnm+22x24W7sLCgqqXdcpZmXKZDKbx0IIu7JyJ0+exDPPPINXX30Vw4cPR2pqKl544QXMmDEDCQkJlW4zd+5czJ492/o4Pz8fkZGRCAoKgrd301q7SJIkyGQyBAUFucWbuSJ3bTvbXf125xaXYVbiUfx6bY0yALi7WzjeursjNEpFQ4Var3i+2W534G7t1mq11a7r0MQsMDAQCoXCrncsPT3drhet3Pz589G3b1+88MILAIDOnTvDw8MD/fr1w5tvvomwsDC7bTQaDTQa+3vfyeXyJvmGkMlkTTb2unLXtrPdt273wUs5mJV4GJezSwAACrkML49qh6l9o6v8h56z4vlmu92BO7W7Jm106KuhVqsRFxeHTZs22ZRv2rQJffr0qXSb4uJiuwYqFJZ/CQshGiZQInJaRrOE9zadwV+W7bImZf4eaqyadhseub1Fk0vKiMi9OfxS5uzZszFp0iTEx8ejd+/e+Oijj5CUlIQZM2YAsFyGTE5OxqeffgoAGDt2LB599FEsXbrUeilz1qxZ6NmzJ8LDwx3ZFCJqZOcyCjH7i6PWG5EDQPcoXyye0B0RvjrHBUZEVEsOT8zGjx+PrKwszJs3D6mpqejYsSM2bNiA5s2bAwBSU1Nt1jSbMmUKCgoK8J///AfPP/88fH19MWjQILz99tuOagIRNbJSoxlLtp3Dsm3nUGa2zHZSyGV4dnBrzBwQA6XC9S+NEJFrkgk3vP6Xn58PHx8f5OXlNcnB/+np6QgODnaL6/IVuWvb2e7r7RZCYNPJq3hrwylczCq21o0O0GPRA91cYtFYnm+22x24W7trknc4vMeMiKg6Dl7KxoL/ncb+iznWMqVchun9WuKZwa2gV/PrjIiaPn6TEZHTEkJgx9lMLNt+HrvP294Pt2e0P964qyNiQ70cFB0RUf1jYkZETqeg1IhvDl3Bp7su4M/MEpvnWgZ54G8j2mJY+xDOuCQil8PEjIicQqnRjO1nMvDj76nYfOoqisvMNs+3CPTAjP4tcW/3ZhzcT0Qui4kZETmEJAmcSS/AzrOZ+O3PTOy9kG2XjAFAt0hfTOvXAiM7hkEhZw8ZEbk2JmZE1KDMkkBafikuZxcjKasYJ1PzcTIlHydT81FoMFW6jY9OhTGdwzCilQf6doh2i1lbREQAEzMit1VQakRWYRlyS4zIKS5DfokRZSYJRrOA0SyhzCShzCzBLAmYJQFJWP5vFgKSJCAJ2JRLQsBoFsgvMSLv2k9usRGZhQaYpFuvyhPkpcEdrYMwpnMY+rYKhFJuuT0bEZE7YWJG5OLySow4diUPR6/k4szVAlzKKsalrCLkFBsdGleErw4dwr3Rq2UAbm8diNbBnjaD+SVJcmB0RESOwcSMyMVIksDhy7nY9kc6tpxOx4mUfIfEoVbK4adXwd9Dg0g/HSL99Wjmp0ObEC+0D/OGn4faIXERETkzJmZELiIltwRfH7yCLw9eQVJ28U3rhvloEeWvR7C3Fn56Ffz0anjrVNAo5VAr5VAr5FAp5FApZFAqZJDLZFDIZVDIZJDLyx/DWl7+f6VcBi+tCr56FbQqRSO1nIjIdTAxI2riLmYW4T9b/8Q3h5NhrmQsV4dwb/SI9keXSB90CPdBlL+eSRMRkZNiYkbURGUXlWHB/07hq4NXUDEfk8mA21sFYmzncAyIDUKwt9ZxQRIRUY0wMSNqYoQQ+PLgFby14RRyKwzg99YqMaVPNMb3jEKEr86BERIRUW0xMSNqQjILDZj9xVH8eibDWualVeLxO1picp9oeGlVDoyOiIjqiokZURNx4FIOnvr8MNILDNaycV3C8fcx7RDsxcuVRESugIkZURPw8+lsvLnpIsrMlsFkgZ4avPuXzhgQG+zgyIiIqD4xMSNycit+u4g3frpgfdy7ZQDef7Are8mIiFwQEzMiJ/bRr+fw1obT1scP9ozEvDs7QqXgvSOJiFwREzMiJ7VqzyWbpOzpQa0we2gbm9sWERGRa+E/u4mc0E/H0/Dqd8etjx/vE47nhrRmUkZE5OLYY0bkZI4n5+HZtYeti8Y+dkcLTO3u79igiIioUbDHjMiJ5BSVYcaqgzCYJADA3d0i8OKwWAdHRUREjYWJGZGTkCSBZxOP4EpOCQCga6QvFtzbCXI5L18SEbkLJmZETuK/uy9aV/QP9FRj6cTu0Ch5s3EiInfCxIzICZy5WoAF/7s+A/Nf47sizIf3uyQicjdMzIgczCwJvPDlUeu4sql9o9GvdZCDoyIiIkdgYkbkYKv3XsLRK3kAgFbBnvjbiLYOjoiIiByFiRmRA13NL8XCn/6wPp5/TydoVRxXRkTkrpiYETnQ2/87jUKDCQAwPj4SPaK5XhkRkTtjYkbkIMeT87DucDIAwFevwpyRvIRJROTumJgROYAQAm/+eNL6+JlBreHnoXZgRERE5AyYmBE5wLY/MrDnfDYAoHmAHhN7NXdwRERE5AyYmBE1MiEEFm0+Y3384vC2UCv5USQiIiZmRI1u25kM6/IYbUO9MLJjqIMjIiIiZ8HEjKgRCSHw/uaz1sfPDm7Ne2ESEZEVEzOiRrT7fBaOXM4FAMSGeGF4B/aWERHRdUzMiBrR8p0XrL/PHBjD3jIiIrLBxIyokZzPKMTmU+kAgDAfLUZ1CnNwRERE5GyYmBE1khW/XbT+PqVPNFQKfvyIiMgW/zIQNYL8UiO+OngFAKBXK/BAzygHR0RERM6IiRlRI/jucDJKjGYAwL3dm8FHp3JwRERE5IyYmBE1MCEEVu9Nsj5+kL1lRERUBSZmRA3s6JU8nE4rAAB0jfRF+3BvB0dERETOiokZUQNbU6G3bAJ7y4iI6CaYmBE1oJIyM348lgoA8NQoMaYLl8ggIqKqMTEjakCbT11FocEEABjVKRR6tdLBERERkTNjYkbUgL49nGz9/a5uEQ6MhIiImgImZkQNJKvQgO1nMgBYVvrv1SLAwREREZGzY2JG1EB+PJYKkyQAAHd2jeB9MYmI6JaYmBE1kB9+T7X+fle3cAdGQkRETQUTM6IGkFFgwP6L2QCAmCAPtA3l2mVERHRrTMyIGsDGE2kQlquYGNmRS2QQEVH1OEVitmTJErRo0QJarRZxcXHYsWPHTesbDAa8/PLLaN68OTQaDWJiYrB8+fJGipbo1n46nmb9fUTHUAdGQkRETYnDF1VKTEzErFmzsGTJEvTt2xcffvghRo4ciZMnTyIqqvJV0u+//35cvXoVCQkJaNWqFdLT02EymRo5cqLK5RSVYff5LABApL8OHXgLJiIiqiaHJ2bvvfcepk2bhunTpwMAFi1ahI0bN2Lp0qWYP3++Xf2ffvoJ27dvx/nz5+Hv7w8AiI6ObsyQiW5q86mrMF+bjTmyYxhkMs7GJCKi6nFoYlZWVoaDBw9izpw5NuXDhg3Drl27Kt3m+++/R3x8PBYuXIjPPvsMHh4eGDduHN544w3odLpKtzEYDDAYDNbH+fn5AABJkiBJUj21pnFIkgQhRJOLuz40lbb/cuqq9feh7YLrHG9TaXd9Y7vZbnfAdrtHu2vSTocmZpmZmTCbzQgJCbEpDwkJQVpaWqXbnD9/Hjt37oRWq8U333yDzMxMzJw5E9nZ2VWOM5s/fz5ef/11u/KMjAyUlpbWvSGNSJIk5OXlQQgBudwphgg2mqbQdqNZwq9nLYvK+uqUCNeUIT09vU77bArtbghsN9vtDthu92h3QUFBtes6/FImALtLPUKIKi//SJIEmUyG1atXw8fHB4Dlcuh9992HDz74oNJes7lz52L27NnWx/n5+YiMjERQUBC8vZvW+J/y9gcFBbnFm7miptD23/7MRHGZ5V9GA9sGIyw05BZb3FpTaHdDYLvZbnfAdrtHu7VabbXrOjQxCwwMhEKhsOsdS09Pt+tFKxcWFoaIiAhrUgYA7dq1gxACV65cQevWre220Wg00Gg0duVyubxJviFkMlmTjb2unL3tW//ItP4+qG1IvcXp7O1uKGw32+0O2G7Xb3dN2ljnV6Pi2K2aUqvViIuLw6ZNm2zKN23ahD59+lS6Td++fZGSkoLCwkJr2ZkzZyCXy9GsWbNax0JUH7actowvU8hluKNNkIOjISKipqbGidnGjRsxZcoUxMTEQKVSQa/Xw8vLC/3798f//d//ISUlpUb7mz17Nj755BMsX74cp06dwnPPPYekpCTMmDEDgOUy5MMPP2ytP2HCBAQEBGDq1Kk4efIkfv31V7zwwgt45JFHqhz8T9QYzmcU4mJWMQAgvrkffHQqB0dERERNTbUvZX777bf429/+hry8PIwaNQovvPACIiIioNPpkJ2djePHj2Pz5s144403MGXKFLzxxhsICrp1j8H48eORlZWFefPmITU1FR07dsSGDRvQvHlzAEBqaiqSkpKs9T09PbFp0yY8/fTTiI+PR0BAAO6//368+eabtWg+Uf3Zcfb6ZcyBbYMdGAkRETVV1U7M3nrrLbz77rsYPXp0pddK77//fgBAcnIy3n//fXz66ad4/vnnq7XvmTNnYubMmZU+t3LlSruytm3b2l3+JHK0ionZ7a0CHRgJERE1VdVOzPbt21etehEREVi4cGGtAyJqioxmCXuurfYf4KFG+7CmNduXiIicQ60G/5eUlFT5XGpqaq2DIWqqfr+Si0KD5bZgfVoFQi7nav9ERFRztUrMunXrhkOHDtmVf/XVV+jcuXOdgyJqaipexuzHy5hERFRLtUrMhg4dij59+mDBggUQQqCwsBBTpkzB5MmT8eqrr9Z3jEROb2fF8WWtmZgREVHt1GqB2cWLF2P06NGYOnUqfvzxR6SkpMDb2xv79+9H+/bt6ztGIqdWZDDhyOVcAEDLIA+E+3LZFiIiqp1ar/w/bNgw3HPPPVi6dCmUSiXWr1/PpIzc0qGkHJgkAQDo3TLAwdEQEVFTVqtLmefOnUPv3r3xww8/YOPGjXjxxRdx55134sUXX4TRaKzvGImc2r4L2dbfe7bwd2AkRETU1NUqMevatStatGiBo0ePYujQoXjzzTexZcsWrFu3Dj179qzvGImcGhMzIiKqL7VKzJYsWYK1a9fC19fXWtanTx8cPnwY3bt3r6/YiJyewWTG4WvjyyL9dQjz4fgyIiKqvVolZpMmTaq03MvLCwkJCXUKiKgpOXYlD2UmCQDQM5rjy4iIqG5qlZgRkcXeCpcxb+NlTCIiqiMmZkR1sP/i9cSsBxMzIiKqIyZmRLVklgQOXMwBAAR5aRAdoHdwRERE1NQxMSOqpVOp+db7Y/aM9odMxvtjEhFR3TAxI6olLpNBRET1rdor/8+bN69WBxgwYADuuOOOWm1L5MxsxpdFMzEjIqK6q3ZiduHChVodoGvXrrXajsjZHUqyjC/z0igRG+rl4GiIiMgVVDsxW7FiRUPGQdSkpOaV4Gq+AQDQJdIXCjnHlxERUd1xjBlRLRxJyrX+3iXSx3GBEBGRS2FiRlQLR67kWn/vGunnuECIiMilMDEjqgX2mBERUUNgYkZUQ2ZJ4FhyHgAgwleHYC+tgyMiIiJXwcSMqIbOpheguMwMAOga6evYYIiIyKXUKDHbt28fzGaz9bEQwuZ5g8GAL774on4iI3JSvIxJREQNpUaJWe/evZGVlWV97OPjg/Pnz1sf5+bm4sEHH6y/6Iic0JHLudbfOfCfiIjqU40Ssxt7yG58XFUZkSspT8wUchk6Rng7NhgiInIp9T7GjDdyJldWZDDhzNUCAECbEC/o1dVeo5mIiOiWOPifqAaOJedButYpzIH/RERU32r8z/2TJ08iLS0NgOWy5enTp1FYWAgAyMzMrN/oiJzM0Qrjy7oxMSMionpW48Rs8ODBNuPIxowZA8ByCVMIwUuZ5NKOp+Rbf+/UjDMyiYioftUoMbtw4UJDxUHUJJxIsSwsq1bK0SrY08HREBGRq6lRYta8efNb1jly5Ei16hE1NUUGEy5kFgEAYkO8oFJwiCYREdWvevnLkpeXhyVLlqB79+6Ii4urj10SOZ1Tqfkov4rPZTKIiKgh1Ckx27JlCyZOnIiwsDAsXrwYo0aNwoEDB+orNiKncqLC+LL24RxfRkRE9a/Gg/+vXLmClStXYvny5SgqKsL9998Po9GIr7/+Gu3bt2+IGImcQvn4MgDoEM4eMyIiqn816jEbNWoU2rdvj5MnT2Lx4sVISUnB4sWLGyo2IqdyPNnSYyaXAe1CmZgREVH9q1GP2c8//4xnnnkGTzzxBFq3bt1QMRE5nTKThLPplhX/Y4I8oVMrHBwRERG5ohr1mO3YsQMFBQWIj4/Hbbfdhv/85z/IyMhoqNiInMaZqwUwmi0j/3kZk4iIGkqNErPevXvj448/RmpqKh5//HGsXbsWERERkCQJmzZtQkFBQUPFSeRQJysM/O/Agf9ERNRAajUrU6/X45FHHsHOnTtx7NgxPP/881iwYAGCg4Mxbty4+o6RyOGOVxz4z6UyiIiogdR5HbPY2FgsXLgQV65cwZo1a+ojJiKnU3GpjA5h7DEjIqKGUW9LlysUCtx11134/vvv62uXRE7BLAmcSrUkZs38dPDRqxwcERERuapqJ2YzZszA5cuXq1U3MTERq1evrnVQRM7kYlYRisvMAICOHF9GREQNqNrLZQQFBaFjx47o06cPxo0bh/j4eISHh0Or1SInJwcnT57Ezp07sWbNGjRr1gwfffRRQ8ZN1GhOp16f1NIujOPLiIio4VQ7MXvjjTfw9NNPIyEhAcuWLcPx48dtnvfy8sKQIUOQkJCAYcOG1XugRI5yOu36+LK2YV4OjISIiFxdjRaYDQ4Oxty5czF37lzk5ubi0qVLKCkpQWBgIGJiYiCTyRoqTiKHOZ12vcesbSgTMyIiajg1vldmOV9fX/j6+tZjKETOqbzHTK9WINJP7+BoiIjIldVoVmZxcTGefPJJREREIDg4GBMmTEBmZmZDxUbkcIUGEy5nlwAA2oR4QS5nrzARETWcGiVmr732GlauXInRo0fjgQcewKZNm/DEE080VGxEDvdHWsWB/7yMSUREDatGlzLXrVuHhIQEPPDAAwCAiRMnom/fvjCbzVAoeFNncj0VE7PYECZmRETUsGrUY3b58mX069fP+rhnz55QKpVISUmp98CInIHtjEwulUFERA2rRomZ2WyGWq22KVMqlTCZTPUaFJGz4IxMIiJqTDW6lCmEwJQpU6DRaKxlpaWlmDFjBjw8PKxl69atq1EQS5YswTvvvIPU1FR06NABixYtsumZq8pvv/2G/v37o2PHjjhy5EiNjkl0K0IInL52K6ZQby189epbbEFERFQ3NUrMJk+ebFc2ceLEOgWQmJiIWbNmYcmSJejbty8+/PBDjBw5EidPnkRUVFSV2+Xl5eHhhx/G4MGDcfXq1TrFQFSZtPxS5JdaeoNj2VtGRESNoEaJ2YoVK+o9gPfeew/Tpk3D9OnTAQCLFi3Cxo0bsXTpUsyfP7/K7R5//HFMmDABCoUC3377bb3HRVTxVkxc8Z+IiBpDrReYrQ9lZWU4ePAg5syZY1M+bNgw7Nq1q8rtVqxYgXPnzmHVqlV48803b3kcg8EAg8FgfZyfb7k8JUkSJEmqZfSOIUkShBBNLu760NhtP5WaZ/09NtjTYa+5u55ztpvtdgdst3u0uybtdGhilpmZCbPZjJCQEJvykJAQpKWlVbrN2bNnMWfOHOzYsQNKZfXCnz9/Pl5//XW78oyMDJSWltY8cAeSJAl5eXkQQkAur9HcjSavsdt+9NL1xZOD1Eakp6c3+DEr467nnO1mu90B2+0e7S4oKLh1pWscmpiVu/Eem0KISu+7aTabMWHCBLz++uto06ZNtfc/d+5czJ492/o4Pz8fkZGRCAoKgrd301oCQZIkyGQyBAUFucWbuaLGbvvF3DMAAKVchh6xUVArHfN6u+s5Z7vZbnfAdrtHu7VabbXrOjQxCwwMhEKhsOsdS09Pt+tFAywZ54EDB3D48GE89dRTAK53hyqVSvz8888YNGiQ3XYajcZmJmk5uVzeJN8QMpmsycZeV43VdqNZwvmMQgBAyyAPaNWO/TeMu55ztpvtdgdst+u3uyZtdOiroVarERcXh02bNtmUb9q0CX369LGr7+3tjWPHjuHIkSPWnxkzZiA2NhZHjhzBbbfd1lihk4u7lFUMo1kAAFpzxX8iImokDr+UOXv2bEyaNAnx8fHo3bs3PvroIyQlJWHGjBkALJchk5OT8emnn0Iul6Njx4422wcHB0Or1dqVE9XF2avXxwO0DvZ0YCREROROHJ6YjR8/HllZWZg3bx5SU1PRsWNHbNiwAc2bNwcApKamIikpycFRkrs5m15o/b0Ne8yIiKiRODwxA4CZM2di5syZlT63cuXKm277j3/8A//4xz/qPyhya2fYY0ZERA7g+iPuiGrhz2s9Zkq5DNGBHreoTUREVD+YmBHdwGSWcD6jCADQItADKgU/JkRE1Dj4F4foBpeyi1FmtqzS3DqElzGJiKjxMDEjusHZq9cH/rcO5sB/IiJqPEzMiG5gs1QGe8yIiKgRMTEjugGXyiAiIkdhYkZ0g/KlMpRyGaIDOCOTiIgaDxMzogpMZgnnMy0zMqMDPRx243IiInJP/KtDVEFSdjHKTNdmZHJhWSIiamRMzIgqqDi+jDcvJyKixsbEjKiCPysmZuwxIyKiRsbEjKiCivfI5IxMIiJqbEzMiCooX1xWIZchOlDv4GiIiMjdMDEjusYsCZzLsCRm0QF6aJQKB0dERETuhokZ0TWXs4thsM7I5GVMIiJqfEzMiK6xHV/Ggf9ERNT4mJgRXVNxqYxWHPhPREQOwMSM6Bqbm5dzqQwiInIAJmZE15T3mMllQMsg3iOTiIgaHxMzIlhmZJYvLhsd4MEZmURE5BBMzIgAXMmpMCOTA/+JiMhBmJgR4frCsgCXyiAiIsdhYkYE4Ex6hYH/7DEjIiIHYWJGBOBP9pgREZETYGJGhOs9ZpyRSUREjsTEjNyeVGFGZvMAD2hVnJFJRESOwcSM3F5ybglKjeX3yOT4MiIichwmZuT2Kt4jkwP/iYjIkZiYkds7w4H/RETkJJiYkds7yx4zIiJyEkzMyO1VvEdmTBATMyIichwmZuTWOCOTiIicCRMzcmtXckpQYjQD4IxMIiJyPCZm5NYqzshsE8KB/0RE5FhMzMit8R6ZRETkTJiYkVvjPTKJiMiZMDEjt8Z7ZBIRkTNhYkZuq+KMzGjOyCQiIifAxIzc1uWc4uv3yOT4MiIicgJMzMht8VZMRETkbJiYkdvizcuJiMjZMDEjt1U+vgzgGmZEROQcmJiR2yrvMVPIZZyRSUREToGJGbkls809MvXQKDkjk4iIHI+JGbmly9nFMJiuzcjkPTKJiMhJMDEjt8R7ZBIRkTNiYkZu6WyFgf+tmZgREZGTYGJGbumsTY8ZL2USEZFzYGJGbql8cVmFXIYWgZyRSUREzoGJGbkdk1nCuQzOyCQiIufDxIzczsWs6zMy24V6OzgaIiKi65iYkds5nZZv/b1tKAf+ExGR83CKxGzJkiVo0aIFtFot4uLisGPHjirrrlu3DkOHDkVQUBC8vb3Ru3dvbNy4sRGjpabudOr1gf9tw9hjRkREzsPhiVliYiJmzZqFl19+GYcPH0a/fv0wcuRIJCUlVVr/119/xdChQ7FhwwYcPHgQAwcOxNixY3H48OFGjpyaqlOp7DEjIiLn5PDE7L333sO0adMwffp0tGvXDosWLUJkZCSWLl1aaf1FixbhxRdfRI8ePdC6dWu89dZbaN26NdavX9/IkVNTdTrN0mPmpVGimZ/OwdEQERFdp3TkwcvKynDw4EHMmTPHpnzYsGHYtWtXtfYhSRIKCgrg7+9fZR2DwQCDwWB9nJ+fb91WkqRaRO44kiRBCNHk4q4P9dH2/BIjknNLAACxoV4QQkAIUV8hNgh3PedsN9vtDthu92h3Tdrp0MQsMzMTZrMZISEhNuUhISFIS0ur1j7++c9/oqioCPfff3+VdebPn4/XX3/drjwjIwOlpaU1C9rBJElCXl4ehBCQyx3e4dmo6qPtR5Kvjy9r7qNEenp6fYXXYNz1nLPdbLc7YLvdo90FBQW3rnSNQxOzcjKZzOaxEMKurDJr1qzBP/7xD3z33XcIDg6ust7cuXMxe/Zs6+P8/HxERkZaJxA0JZIkQSaTISgoyC3ezBXVR9vTzpVYf+/WIvim7xtn4a7nnO1mu90B2+0e7dZqtdWu69DELDAwEAqFwq53LD093a4X7UaJiYmYNm0avvzySwwZMuSmdTUaDTQajV25XC5vkm8ImUzWZGOvq7q2/Y8Kt2JqF+7TZF5Ddz3nbDfb7Q7Ybtdvd03a6NBXQ61WIy4uDps2bbIp37RpE/r06VPldmvWrMGUKVPw+eefY/To0Q0dJrmQUxWWyojljEwiInIyDr+UOXv2bEyaNAnx8fHo3bs3PvroIyQlJWHGjBkALJchk5OT8emnnwKwJGUPP/ww3n//ffTq1cva26bT6eDj4+OwdpDzkySBP67NyIzy18NT4/C3PxERkQ2H/2UaP348srKyMG/ePKSmpqJjx47YsGEDmjdvDgBITU21WdPsww8/hMlkwpNPPoknn3zSWj558mSsXLmyscOnJiQpuxglRjMArl9GRETOyeGJGQDMnDkTM2fOrPS5G5Otbdu2NXxA5JIq3oqpHVf8JyIiJ+T6I+6IrjlZYXxZuzD2mBERkfNhYkZuo+KtmGJD2WNGRETOh4kZuY0TyXkAAE+NEs399Q6OhoiIyB4TM3ILWYUGpORZ7vLQPtwbcvmtFzAmIqL68corr+Cxxx5rlGNNmTIF//jHP+q0jx49emDdunX1E1ANMTEjt3A85fplzE4RXFaFiKg+TJkyBTKZDDKZDCqVCi1btsRf//pXFBUVWetcvXoV77//Pl566SW77Xft2gWFQoERI0bYPXfx4kXrvm/82bNnT4O265VXXsGcOXMcci9PJmbkFo5fu4wJAB0jOL6MiKi+jBgxAqmpqTh//jzefPNNLFmyBH/961+tzyckJKB3796Ijo6223bFihV4+umnsXPnTpulsSravHkzUlNTbX7i4uIaqjkAgNGjRyMvLw8bN25s0ONUhokZuYVjV64nZuwxIyKqPxqNBqGhoYiMjMSECRPw0EMP4dtvv7U+v3btWowbN85uu+LiYnz55Zd44oknMGbMmCrXIg0ICEBoaKjNj0qlqnW8n376KTw9PXH27Flr2dNPP402bdpYe/oUCgVGjRqFNWvW1Po4tcXEjNzCsWs9Znq1Ai0CPR0cDRGR69LpdDAajQCAnJwcHD9+HPHx8Xb1vvvuO8TGxiI2NhYTJ07EihUrIIRo8PgefvhhjBo1Cg899BBMJhN++uknfPjhh1i9ejU8PDys9Xr27IkdO3Y0eDw3cooFZokaUk5RGZJzSwAAHcK9oeDAfyJqAsYu3omMAkOjHzfIS4P1T99eq2337duHzz//HIMHDwYAXLp0CUIIhIeH29Vds2YNHnroIQCWy6GFhYX45ZdfMGTIEJt6ffr0sbsJeF5eHhQKRa1iBCx3EercuTOeeeYZrFu3Dq+99hp69OhhUyciIgJJSUmQJKlRb7TOxIxc3vGU65cxO4TzMiYRNQ0ZBQak5Zc6Ooxb+uGHH+Dp6QmTyQSj0Yg777wTixcvBgCUlFj+UazVam22+eOPP3D48GF89913AAClUonx48dj+fLldolZYmIi2rVrZ1NWl6QMAPz8/JCQkIDhw4ejT58+mDNnjl0dnU4HSZJgMBig0+nqdLyaYGJGLu9YMseXEVHTE+SlaRLHHThwIJYuXQqVSoXw8HCb8V+BgYEALJc0g4KCrOXLly+HyWRCZGSktUwIAZVKhZycHPj5+VnLIyMj0apVq9o2p0q//vorFAoFUlJSUFRUBG9v24lh2dnZ0Ov1jZqUAUzMyA0cScq1/t4lkokZETUNtb2c2Ng8PDyqTJxiYmLg7e2NkydPok2bNgAAk8mEzz77DK+99hruuecem8uE9957L1avXo2nnnqqQWPetWsXFi5ciPXr12POnDl4+umn8d///temzvHjx9G9e/cGjaMyTMzIpQkhcPhyLgDAW6tESw78JyJqNHK5HEOGDMHOnTtx1113AbBc+szJycGECRPQqlUrm8TsvvvuQ0JCgk1ilpWVhbS0NJv9+vr62l0era6CggJMmjQJTz/9NEaOHImoqCjEx8djzJgx+Mtf/mKtt2PHDgwbNqxWx6gLzsokl3Ylp8Q6eLZrlB9X/CciamSPPfYY1q5da12sNSEhAYMHD7a7dAhYesyOHDmCQ4cOWcuGDBmCsLAwm5+Ky3HU1LPPPgsPDw+89dZbAIAOHTrg7bffxowZM5CcnAwASE5Oxq5duzB16tRaH6e22GNGLq28twwAukX6OiwOIiJXVNXaYxUNGzYMERERSExMxIMPPoj169dDkiSkp6fb1e3evbvNkhkNsXzG8uXL7cqeeeYZPPPMM9bHixYtwpQpU9CsWbN6P/6tsMeMXNrhpBzr792ifB0XCBGRm5LJZPjoo49gMpkcHUq1BQcH44033nDIsdljRi7tcIWB/90i/aquSEREDaZLly7o0qWLo8OothdeeMFhx2ZiRi7LYDLj5LWbl8cEecBHX/tbeBARUdNw1113wdfX19Fh1BoTM3JZx5PzUWa2DDbtFsXeMiIid1A++7Op4hgzcln7L2Zbf+f4MiIiagqYmJHL2nM+y/p7r5YBDoyEiIioepiYkUsymSUcuGiZkRnkpUHLQA8HR0RERHRrTMzIJZ1IyUehwTI1+7YW/pDJuLAsERE5PyZm5JL2XuBlTCIianqYmJFL2nP++sD/Xi39HRgJERHV1SuvvILHHnvMoTH06NED69ata/DjMDEjl2OWBPZfsCRmgZ5qxATxxuVERA1hypQpkMlkWLBggU35t99+azeERAiBjz76CLfddhu8vb0RGxuLnj17YtGiRSguLq7yGFevXsX777+Pl156qUHaUG7JkiVo0aIFtFot4uLisGPHDpvnX3nlFcyZM8d6z8+GwsSMXM7RK7kosI4vC+D4MiKiBqTVavH2228jJyfnpvUmTZqEWbNm4c4778Qvv/yCzZs34+WXX8Z3332Hn3/+ucrtEhIS0Lt3b0RHR9dz5NclJiZi1qxZePnll3H48GH069cPI0eORFJSkrXO6NGjkZeXh40bNzZYHAATM3JB205fvzFu/zZBDoyEiMj1DRkyBKGhoZg/f36Vdb744gusXr0aa9aswUsvvYQePXogMjISd955J7Zs2YKBAwdWue3atWsxbtw46+NPP/0UAQEBMBgMNvXuvfdePPzww7Vqw3vvvYdp06Zh+vTpaNeuHRYtWoTIyEgsXbrUWkehUGDUqFFYs2ZNrY5RXUzMyOVs/SPD+nv/WCZmROQeJEkgKasYRy7n4szVApQazY1yXIVCgbfeeguLFy/GlStXKq2zevVqxMbG4s4777R7TiaTwcfHp9LtcnJycPz4ccTHx1vL/vKXv8BsNuP777+3lmVmZuKHH37A1KlTAQA7duyAp6fnTX/eeustAEBZWRkOHjyIYcOG2Rx72LBh2LVrl01Zz5497S5x1jfekolcSkaBAceS8wAA7cO8EeKtdXBEREQNT5IEdp/PQmbh9V6k8xmF6NsqEF7ahr9P8N13342uXbvitddeQ0JCgt3zZ8+eRWxsbI33e+nSJQghEB4ebi3T6XSYMGECVqxYgb/85S8ALIlfs2bNMGDAAABAfHw8jhw5ctN9+/tbJoZlZmbCbDYjJCTE5vmQkBCkpaXZlEVERCApKQmSJEEub5i+LSZm5FK2n7neWzawLXvLiMg9JOeW2CRlAGAwSfgjrQDx0Y0zM/3tt9/GoEGD8Pzzz9s9J4So1XjfkpISAJZxbBU9+uij6NGjB5KTkxEREYEVK1ZYJyIAluStVatWNTpWZZMVbizT6XSQJAkGgwE6na6mzakWXsokl7L1j+vjywbEBjswEiKixpNTXFZpeVZR5eUN4Y477sDw4cMrnT3Zpk0bnDp1qsb7DAwMBAC7iQXdunVDly5d8Omnn+LQoUM4duwYpkyZYn2+JpcyAwMDoVAo7HrH0tPT7XrRsrOzodfrGywpA9hjRi7EYDLj12s9Zt5aJbpF+jo2ICKiRqJXV/7n3KOK8oayYMECdO3aFW3atLEpnzBhAh544AF89913duPMhBDIz8+vdJxZTEwMvL29cfLkSbt9Tp8+Hf/617+QnJyMIUOGIDIy0vpcTS5lqtVqxMXFYdOmTbj77rutz2/atMku1uPHj6N79+433W9dsceMXMavZzJRUGpZJmNwuxAoFXx7E5F7iPTXQaNU2JW3DmncdRw7deqEhx56CIsXL7Ypv//++zF+/Hg8+OCDmD9/Pg4cOIDLly/jhx9+wJAhQ7B169ZK9yeXyzFkyBDs3LnT7rmHHnoIycnJ+Pjjj/HII4/YPFd+KfNmP+WJGQDMnj0bn3zyCZYvX45Tp07hueeeQ1JSEmbMmGGz3x07dthNEqhv/MtFLuOH31Osv4/tEubASIiIGpdGqUC/1oFo5qeHXq1EoKcGvVsGOGQC1BtvvAEhhE2ZTCbD559/jvfeew/ffPMNBg4ciMGDB2PevHm48847MXz48Cr399hjj2Ht2rV2C7t6e3vj3nvvhaenJ+666646xTx+/HgsWrQI8+bNQ9euXfHrr79iw4YNaN68ubVOcnIydu3aZZ352VB4KZNcQkmZGZtOXgUA+OhUuL0VB/4TkXvx0CgR19yvUY+5cuVKu7LmzZujtLTUrlwul2PGjBmYMWMGJElCeno6goODbzm7cdiwYYiIiEBiYiIefPBBm+dSU1Px0EMPQaPR1KkdADBz5kzMnDmzyucXLVqEKVOmoFmzZnU+1s2wx4xcwtY/0lFcZlmzZ0SHUKiVfGsTEbkCmUyGjz76CCaTyVqWnZ2NtWvXYsuWLXjyyScbJY7g4GC88cYbDX4c9piRS/juSLL19zG8jElE5FK6dOmCLl26WB93794dOTk5ePvtt2u1PlptvPDCC41yHCZm1OSl5ZVi8ynLMhlBXpZxFURE5LouXrzo6BAaDK/3UJO3Zl8SzJJloOmDPSI5G5OIiJos/gWjJs1olrBmXxIAQCGX4cHbohwcERERUe0xMaMm7ecTV5FeYLkNydB2IQjzabjVmImIiBoaEzNqsiRJYPGWs9bHE3s1v0ltIiIi58fEjJqsH4+l4nRaAQCgS6Qv+rbioH8iImraOCuzDorLTLiSUwKzJBDmo4WvXl3vxzCaJSRlFyO/xAgvrQrNfBtnFecigwnnMgpRUGqCt1aFmGCPKu/F1hjyS43IyC+BodCAwEABSUj41+Yz1uf/OqwNZDKZw+IjIiKqD0zMaik9vxT7LmZbZwOeuVqAdmHeaBPiVW/HMJjM+O3P6/d/BIALGYWI9ZFuslXNlJkkXM4pRrHBDD8PFYI9NSg2mrH7XBbKzJbjZBYakJxbjP5tgqFT29+LraTMjFNp+cgsMECjUiAmyAPN/PT1FuOJlDz8mV4ICAGUFCLZkIELWUU4n1EEAOjZwh+3twqst+MREZFzSEhIQGJiIn7++WeHxXDfffehT58+mD17dqMcj5cya+n3K3nWpKzc6bQClFxbfb4+XMwstknKAEsvXVq+/a0uaqO4zIStf6TjeHIezqYX4KuDV/DvLX/i090XcTwlDwbj9bYYTBLOZRTa7cNklrDzz0xczi5GidGM3OIyHLyUg6SsYgBAqdGMg5dy8OPvqfjpeBpOpeZDuuF1u5mMAgOOXs6FwXQ9Gb2cXYR//ny9t+zF4bHsLSMicqBdu3ZBoVBgxIgRds9dvHgRMpnM5kehUCAsLAx79uypcp8GgwGvvvoqXnnllQaL+8SJE7j33nsRHR0NmUyGRYsW2dV59dVX8X//93/Iz89vsDgqYmJWCyVlZhSVmezKhRDIKjLU23Gyi8oqLS802B+7Nv5IK0DpteTrYlYRsovKLJcMCwwoKDXhbHqhzY1o80uNAICsQgN2ncvEzyfSsOFYKjIL7RPFPzMKIITA7vNZuJJTDJMkwWAy48zVAhxPyatWfCm5Jfj+SDJOpxVYkserhZblMfZfsSZqE3tFIT7av64vBRER1cHy5cvx9NNPY+fOnUhKSqq0zubNm5GamorU1FQkJyfj6NGjiIuLq3KfX3/9NTw9PdGvX7+GChvFxcVo2bIlFixYgNDQ0ErrdO7cGdHR0Vi9enWDxVERE7NaUClkUMgr76HRquwv9dWWh6byfWnqeB9Io1nCxcwiHL2ci/xSI0xmCXnFRuvz0rXOKYNJQkGFJNBbq0JucRl2nctCRoEBJUYzknNLbBK8csVlZmQWliG/xIgbnUsvxPHkPOw9n4VTqfl22wLXe9rMFRNDgxFf/p6Js+mWnrsIXx3mjGxXp9eCiMilCAEYCgFz/fwDvjqKiorwxRdf4IknnsCYMWMqvbE5AAQEBCA0NNT6ExwcDJVKVeV+165di3Hjxlkf//rrr1CpVEhLS7Op9/zzz+OOO+6oVew9evTAO++8gwceeOCmN0IfN24c1qxZU6tj1BQTs1pQKuSIDvCwK/fVqxHoWfc73JdrEegBpdz2FMnlMoR6134CQKHBhF9OpePolVxkFhpw9mohzmUUQQjLgP/MAgOUiutJZ/llR41SgZggT5zLKEShwYgzVwtw6FIOkrKLkF1ktK4lVs7fQ11pwmU0Szieko9Tqfk4lZaPbw4lY+m2c7iYWYikrGKk55dCCIHk3BJIQiDAQ21Ngk+nFWDvZcslUrkMeOe+zvDUcJgkEREAIGkvsOUN4OeXLT/H1wFm+38c17fExETExsYiNjYWEydOxIoVK2yuttTWjh07EB8fb318xx13oGXLlvjss8+sZSaTCatWrcLUqVMBAElJSfD09Lzpz4wZM2ocS8+ePbFv3z4YDPV3Vawq/KtWSx3CvaFSyJGUXQyzJCHUR4d2YfU38B8AvLQq3N4qEH9czUd6vgGBnhq0CfZAWVFurfd5MiUfBpMlYfL3UCOj0AAhBK7mlaLEJEEuA3zNKijkcvjpVfD3VKO0TEKAhwaZhQbkFZfh7NVCmK4lbCqFAgZjGa7kFKOZnx5yGaBSyNEhzAdqpRwymczmA3o13wCFHPgzoxCnU/MhXUsIf/szA4PahSDCVwdvrQoh3pYEV6mQo1WQB747koJ9F3Os+3lpVDsEeWmQlFWMMF8tVLwNExG5sysHgaOfX39sKgUubAcMBUDc5AY9dEJCAiZOnAgAGDFiBAoLC/HLL79gyJAhNvX69OkDeYXOBiEEcnNzbcrK5ebmIjc3F+Hh4Tbl06ZNw4oVK6w3FP/xxx9RXFyM+++/HwAQHh6OI0eO3DReb2/vGrcxIiICBoMBaWlpaN68YdfMZGJWSzKZDLGhXogNrd9k7Eb5pUbkFBthFgLZxWW4WqiAXx3GuWcWGmA2C1zIKkJeiRFmM3CloAQyAF4aJbx1KigVcshkgLdOBUkC1Eo5sooMyCoyIDW31JqUAUBhqRGlJjMKSkxIyytByyBP9G8TZL2k2z7MCydSrg+YNBjN8NdrsO9iFkxmAaNZQlGZGSqFDL9fzkOolxb5pUZolHLIZTLkFpfhq4NXcPTK9XFp93WPQJCXBidTLfs9mapAn1YB8NZW3SVOROTS/txceXnKYaDtGMCjYdZ5/OOPP7Bv3z6sW7cOAKBUKjF+/HgsX77cLjFLTExEu3aW4SeSJCErKwsKReVDdkpKSgAAWq3tFaIpU6bg73//O/bs2YNevXph+fLluP/+++Hh4WE9fqtWreq1jQCg01nuKlNcXFzv+76RU3QzLFmyBC1atIBWq0VcXBx27Nhx0/rbt29HXFwctFotWrZsiWXLljVSpI0rt7gMhy/nWi8JGs0SzqQVIiO/9l2pWpWlly/v2tgvvUYBT7USvno1BrUNRmyoF6ID9OgY7o2r12Z/ms0CJUYzhLDEUJ4XGoxmZBSWQalQINBLg3BfHUqNZqRXiK9VsBcGxAajXZg3Okb44I42QSgxmpBZWIbMojKkFxhQVGqCDJZZogUGS1yXs0tw9HIu3vrfaZukbPptobj9hoVkDSYzjidXb0IBEZHLEQIoSKnqyZs8V3cJCQkwmUyIiIiAUqmEUqnE0qVLsW7dOuTk5NjUjYyMRKtWraw/LVq0qHK/AQEBkMlkdvsIDg7G2LFjsWLFCqSnp2PDhg145JFHrM831KXM7OxsAEBQUFCNt60ph/eYJSYmYtasWViyZAn69u2LDz/8ECNHjsTJkycRFWV/Q+oLFy5g1KhRePTRR7Fq1Sr89ttvmDlzJoKCgnDvvfc6oAUNo8wkWZeWuHEliPTCUnSo5X6j/PXY/keGTZlGJYdGqUB+qREB18bIGUxmyABcySmxjPsCoJLL4KtXIdJfDyGAi1mFCPRQw1Orgq/uem9VUnYxogKur2Pmo1PB59rzhd4mfH80xTqrUiaTQRISSk1mFJeZcOBiDs5lFOGPqwU2y5H46VX4v7s6IkxtQFKJ5QWRBJBXUgYZgFKjhJJIE3QOXASXiMghZDJA5w+UZFf+vL5hestMJhM+/fRT/POf/8SwYcNsnrv33nuxevVqPPXUU7Xat1qtRvv27XHy5Em7fU+fPh0PPPAAmjVrhpiYGPTt29f6XENdyjx+/DiaNWuGwMCGXzPT4X/F3nvvPUybNg3Tp08HACxatAgbN27E0qVLMX/+fLv6y5YtQ1RUlHWtkXbt2uHAgQN49913a5yYfb73EnQelkuRNw5UvHHY4o3jGO2fv/lAR/vtRaXPCwBX80qRXVSGrCIDDEYJPjoVdOUzNAWgkgz4I+8cbszYbjXWUggBsyRwKasYhQYTzJIEjVIBT60SOcVFuJJTDI9riY0QQE5xGUoqGcAf5a+HURLILS5DcZkZChkQ4KnBH1ctt0fSqhTYdzG70oBKjGacTs1HVqEBpUYJkhAwmCSY88rr5trUl8uA+Gh/vDSyLTo388GJc5cBAAWlJpzPKESJ0YyMAgMkyXJZtGWgB7o396vX2bFERE6vxR3AyW/tywNaAd7h9uX14IcffkBOTg6mTZsGHx8fm+fuu+8+JCQk2CRmWVlZ1hmVkiQhMzMT3t7e0OsrX5B8+PDh2LlzJ2bNmmVX7uPjgzfffBPz5s2zea6mlzLLyspw8uRJ6+/Jyck4cuQIPD09bfazY8cOuwSxoTg0MSsrK8PBgwcxZ84cm/Jhw4Zh165dlW6ze/duuxdn+PDhSEhIgNForHTqrcFgsJlJUb5I3FsbTkOuqb8V6hvV8Sr+ZdQIKl5abCg+OhW6Rfqif5tA+HuokZxbgrYhHvDTK6EusdwBwSRJSM8vgdEs4KtT4WJGIbzUChy4mI0+Ma5z30xJkiCEgCTV3x0fmgK2m+12B/XW7ug7AEMhZBe2A2bLGpgiqB3QdcL1NZDq2SeffILBgwfDy8vLLv67774bb731Fg4cOAB/f8takzeOOQOAVatW4cEHH6x0/9OmTUN8fDxycnLsEr/Jkydj/vz5mDhxYp1euytXrqBbt27Wx++++y7effdd9O/fH1u2bAEAlJaW4ptvvsH//ve/Wh+rJts5NDHLzMyE2WxGSEiITXlISIjdOiXl0tLSKq1vMpmQmZmJsLAwu23mz5+P119/vf4Cp3qlV8kR5KlE60A9YgJ18FQBzXzUkMtkAEqAkhKYAFxOMaEwPw8wKGEuykFxqQlakxnBWhUC9IBMMqG0wIysUgWStGUu02smSRLy8vIghKh09pKrYrvZbndQr+327wF4dYSiOAOS2hNC5w/klQAoqZdYb/TJJ58AANLT0+2ea9asGVJTU62PK/4OXG+3j49PpdsDgL+/P4YMGYJ33nkHzzzzjM1z58+fx+DBg6FQKKrcvjr0er1dbOXK97tixQp07doVLVu2rPWxCgoKql3X4ZcyAdjdTkcIcdNb7FRWv7LycnPnzrW5x1V+fj4iIyPx1t0doPe8PqtSBtvtb9zdjXu/8Xj2z9s+PpNeiIIbFlxVyuXo3MwbcrkcMgDHkvOsy1kAMmQXGZBZWIaCEiO8dSqEemvgLTcCGj2CvLRoEWi7ntqtYq5YIbfIgN+v5EOjUqB8vdzcYiOKDCZE+OlgNFv+Jae5luAIIVBQakKAlwY+WhV0Kjmu5Fh6rEqNZqiVcmhVCkQH6BHqU3EmjWXnhaVGpOUbcDatAJlFpfDUqeChVkItl6NLpC/GdQ1HblEZvjx4BReKTNAqFQjy0kCtlAMyGQwqHZIK8/FnAXC+SIkykxySJFAgUyAPSgR6aRCh8wZUCvgGBLrMLE1JkiCTyRAUFOR2f7DYbrbb1TVMuxt2OYf6UN12v//++1i/fj2Cg4MBAHl5edi/fz+++eYbfPPNN9byhuTn54dly5bV6Vg3zi69GYcmZoGBgVAoFHa9Y+np6Xa9YuVCQ0Mrra9UKhEQUPnlK41GU+mKvuO6NqvVIMDaMJjMMIvKewHjov0R7muZihsd6Imz6ZbMOrPAAJMkIJfJEearg06lACDQ2lcBnbcvFAo5hrYPhbyKuxDcKLe4DBkFBmhVCoT76nA1vxRq1fW3QHq+AaUmCVq1AjHBnlArFbiSXYxwXy2UCjnOZxTBz0NjjfVSVhFCfHTw91Aju7AMqfklKC4zI6fYhKEd/ODvobbuO6eoDDv/zISnVgm1WoEwlR5Gs0B0gAd89WpcyS3BukPJOJ6Sj9wiA/QaJZQKOTKLytA21AstgjxxPrMEZiGQbzBBpVRAEkBOqRFqlQIFBjPC/RTQqZXw0irhq6+/hX6dgUwmg1wud/k/WGZJoLjMBL1aafnHipu0+0ZsN9vtDqrT7hYtWtj0lt19993Yt28fHn/8cQwfPrwxwqzVLM4b1eTcOjQxU6vViIuLw6ZNm3D33Xdbyzdt2oQ777yz0m169+6N9evX25T9/PPPiI+Pv+mtHZqK2FAv5JUYkV5Qiswiy4zDQE81SivcxDs9vxSGkgIYJaCZnx5tQ71uednu9yu5uJBZZH18KjUfHcJtk9L0AsvyGDIZoJTLIJcB4b5aaFQKGIxmKBUyBHvZJjzJuSUABC5kXV/bJa/UiN3nsjAgNgge11bmP5dRCOna5APLMWRQK2UoMwskZRcjs9CA02kFyC0uQ5lZghwytAzygE6lgk6tQKSfDik5xTBJAgIyhHhpkFFogNEsIASgV8sR7qOFVqVAXBTvndkU/ZleiDNXC2A0S1Ar5GgV7IGGXSWQiJqabdu2OTqEBufwS5mzZ8/GpEmTEB8fj969e+Ojjz5CUlKSNUOdO3cukpOT8emnnwKwZK7/+c9/MHv2bDz66KPYvXs3EhISGu0eVrWluXZZLuOGWxepFXKEVLjFkkIuQ++YAMvir5KAJAQgLJc4Ba7dwNxcBuhN8NaqcOZqAQ4n5aBThA9CfbSI8NXZXWLNKjTYJGWAZXZkSl6ppbfr2s3STWZL0hTgoYFSIYfJLOFESj789Gro1QpkFBiQV2xEhJ8OEICnRoXMwjKk5d1wOya9CiZJQlJ2MdqFWZK/8huv69UKqBQyGK8dq7DUhKIyE3KKjCgxmpBVWAYJAITAxSwZ4pr7otBgtt4mSqmQQwEAChnCfHQI9hLoEO4FswT0jw1CM199tXsQyXmk5pXgRIWb25eZJZxMyUcbbwkNf6GCiMh5ODwxGz9+PLKysjBv3jykpqaiY8eO2LBhg/WWB6mpqTZ3qm/RogU2bNiA5557Dh988AHCw8Px73//u0msYdY9yg/7L2ZbEyGdSoHuzf0qvSG6j06FjhE+OHVtdfsof71lYdhiIwI95RAKOfw91DiZkgdJ4Nr9JTVIyS1Fzxa2PUYZhZUvSJueb8DQ9iE4lZqP1LwSBHppIJcBoT5aGM0SDl7KwZWcEoT6aOGlUaL02k3LU/NLEeChtt4twHRttokMlmUzgq71qlW8V6a/hxp5JUbIZDJEB3jgfGYRzJKAWilHoUFAr5YjvcBkTcqKjWaYCww4cjkPCrkcBy7mwFOjRGGJDGG+WlzJtQxmDfHWwEOjQutgL0T529+/lJqGy9mVD07OLDQgtpFjISJyJIcnZgAwc+ZMzJw5s9LnKrtLff/+/XHo0KEGjqr+aVUK9GsdhPxSI8xmAV+96qaTHFoFeSK32GhNmnz1amiVMjT3MMHD2wenrxaifA3W8gVbU/NKkFFgsCZHgKVXrjIapRxqpWXgfZdIXxQaTPjtz0yUGs34M7MQWYVl8NIooVMpYJIsNxaXy65PkRCwJFytgjxxJbcE6mv7K1cxhtbBXkjNK0Wp0QxvnQqdInxgNgt0ifTB8ZR87PwzE1qVHCVlZpRJlkuecpllod1ATzUMJgnenhp4+mihFXoEXEsim/npEel342SDhiOEwNn0QlzOLoZZEgjz0aFtmBfv1VlHFRcTrkiqhxshExE1JU6RmLmb6s4WlMtl6NnCH3kllpmSvnoVgr00yM60TNctKjNZ65aP5QIsg/wrJkURfjr8kVaAMrPtOiotgmx7mDw1SgxuG4w/0wuRlleK1sGeKDBcP4ZCJoNerYSHRgEfnQpBXhr46FTw9VDDJIT1ciUAhHpbLquW06kVGBAbhKSsYhQYTPDVqRDlr4dSIYdGpcDx5FxkFMjh66FCdmEZPNRKeKiVaB6gty56m1tchu7BHugRHOywQbLHk/NxPrPQ+vh8ZiHyS43o26rhV4N2ZWE+WusYx4r89OpKahMRuS4mZk1AxVsatQv1xO7sDEgyS4+XwSTBW6uEt/b6qdRrbE+rRqlAn5hAnEjJQ0ahARqlAq2CPRAT5Gl3LKXCMgM01EcLP70Kp9Ku3xpJLpfBR69Et0g/6NTXJxt4aJToGOGDlNwSFJWZ4O+hRrCXfQ+WRqlA6xD74dzNAzzweP8Y/GfLOeQVl8Ffb5nsEOSpQYi31jpmTKu2zEp1FKNZwsWsIrvyzEIDcorK4OfBJKK2mgfokVVUhis51yeRRPrrEaSu/X1hiYiaIiZmTYy/pwYdI3xQJNdDpVAgLb8Efh5q6yVRb60KYd72SZGPXoU+rQJvuUacZR9Kay9VbIgX0vJLUVJmRvMAPWKDvWySMoVchmZ+OijkMkT61/4uCiHeOjwzuDX2X8xGfkkZzqQXQq9SIMr/eq9bqyAPwFh4k700LINJqvLSWrHRDL9GjseVyGQyxDX3Q5sQTxSUmuClVcJDXbeFI4mImiImZk2QTqVA82AfdIzwQ0puCS5kFsFgMiPYS4vWIZ43nZV4q6SsvE735n7YdyELANAi0ANKuRxxUb7IKCzDpWzLwH1PjRKdmvnU2wr7QV4ajOwYirwSIwYYJVzOKUZWoQEalQKtgjwR4atFerrjEjMPtQJalcJmUgNgeb0C2FtWL7y0Knhdu9TvbrfmISICmJg1eeG+OuuCr/XJ30ONoe1DcTW/FJIQCPHWQqWQI9RXh3ZhXjCahU3PWX2RyWTwvTau6MYB/Y7+Qy2TydApwgcHL+XY9JxVZx05IiKi6mBiRlVSyGWVJn1KhRxKN81Dwn118NapcCWnGCazQLivzuYOB0RERHXBxIyohjw1SrQNbZxbeRERkXvh4ktERERETsIte8zEtfFB+fn5Do6k5iRJQkFBAbRardvd8NZd2852s93ugO1mu11Zeb4hqrFotlsmZgUFBQCAyMhIB0dCRERE7qKgoAA+Pj43rSMT1UnfXIwkSUhJSYGXl1e1lo9wJvn5+YiMjMTly5fh7e1e45zcte1sN9vtDthuttuVCSFQUFCA8PDwW/YQumWPmVwuR7NmzRwdRp14e3u7xZu5Mu7adrbbvbDd7oXtdn236ikr5/oXdomIiIiaCCZmRERERE6CiVkTo9Fo8Nprr0Gj0Tg6lEbnrm1nu9lud8B2s91k4ZaD/4mIiIicEXvMiIiIiJwEEzMiIiIiJ8HEjIiIiMhJMDEjIiIichJMzJzMr7/+irFjxyI8PBwymQzffvvtLbfZvn074uLioNVq0bJlSyxbtqzhA61nNW33tm3bIJPJ7H5Onz7dOAHXk/nz56NHjx7w8vJCcHAw7rrrLvzxxx+33K6pn/PatNsVzvnSpUvRuXNn66KavXv3xv/+97+bbtPUzzVQ83a7wrmuzPz58yGTyTBr1qyb1nOFc15Rddrtque8NpiYOZmioiJ06dIF//nPf6pV/8KFCxg1ahT69euHw4cP46WXXsIzzzyDr7/+uoEjrV81bXe5P/74A6mpqdaf1q1bN1CEDWP79u148sknsWfPHmzatAkmkwnDhg1DUVFRldu4wjmvTbvLNeVz3qxZMyxYsAAHDhzAgQMHMGjQINx55504ceJEpfVd4VwDNW93uaZ8rm+0f/9+fPTRR+jcufNN67nKOS9X3XaXc6VzXmuCnBYA8c0339y0zosvvijatm1rU/b444+LXr16NWBkDas67d66dasAIHJycholpsaSnp4uAIjt27dXWccVz3l12u2q59zPz0988sknlT7niue63M3a7WrnuqCgQLRu3Vps2rRJ9O/fXzz77LNV1nWlc16TdrvaOa8L9pg1cbt378awYcNsyoYPH44DBw7AaDQ6KKrG061bN4SFhWHw4MHYunWro8Ops7y8PACAv79/lXVc8ZxXp93lXOWcm81mrF27FkVFRejdu3eldVzxXFen3eVc5Vw/+eSTGD16NIYMGXLLuq50zmvS7nKucs7rwi1vYu5K0tLSEBISYlMWEhICk8mEzMxMhIWFOSiyhhUWFoaPPvoIcXFxMBgM+OyzzzB48GBs27YNd9xxh6PDqxUhBGbPno3bb78dHTt2rLKeq53z6rbbVc75sWPH0Lt3b5SWlsLT0xPffPMN2rdvX2ldVzrXNWm3q5xrAFi7di0OHTqE/fv3V6u+q5zzmrbblc55XTExcwEymczmsbh2M4cby11JbGwsYmNjrY979+6Ny5cv4913322yH+KnnnoKv//+O3bu3HnLuq50zqvbblc557GxsThy5Ahyc3Px9ddfY/Lkydi+fXuVSYqrnOuatNtVzvXly5fx7LPP4ueff4ZWq632dk39nNem3a5yzusDL2U2caGhoUhLS7MpS09Ph1KpREBAgIOicoxevXrh7Nmzjg6jVp5++ml8//332Lp1K5o1a3bTuq50zmvS7so0xXOuVqvRqlUrxMfHY/78+ejSpQvef//9Suu60rmuSbsr0xTP9cGDB5Geno64uDgolUoolUps374d//73v6FUKmE2m+22cYVzXpt2V6YpnvP6wB6zJq53795Yv369TdnPP/+M+Ph4qFQqB0XlGIcPH24y3fzlhBB4+umn8c0332Dbtm1o0aLFLbdxhXNem3ZXpime8xsJIWAwGCp9zhXOdVVu1u7KNMVzPXjwYBw7dsymbOrUqWjbti3+9re/QaFQ2G3jCue8Nu2uTFM85/XCUbMOqHIFBQXi8OHD4vDhwwKAeO+998Thw4fFpUuXhBBCzJkzR0yaNMla//z580Kv14vnnntOnDx5UiQkJAiVSiW++uorRzWhVmra7n/961/im2++EWfOnBHHjx8Xc+bMEQDE119/7agm1MoTTzwhfHx8xLZt20Rqaqr1p7i42FrHFc95bdrtCud87ty54tdffxUXLlwQv//+u3jppZeEXC4XP//8sxDCNc+1EDVvtyuc66rcODvRVc/5jW7Vblc+5zXFxMzJlE8ZvvFn8uTJQgghJk+eLPr372+zzbZt20S3bt2EWq0W0dHRYunSpY0feB3VtN1vv/22iImJEVqtVvj5+Ynbb79d/Pjjj44Jvg4qazMAsWLFCmsdVzzntWm3K5zzRx55RDRv3lyo1WoRFBQkBg8ebE1OhHDNcy1EzdvtCue6KjcmKK56zm90q3a78jmvKZkQ10YVEhEREZFDcfA/ERERkZNgYkZERETkJJiYERERETkJJmZEREREToKJGREREZGTYGJGRERE5CSYmBERERE5CSZmRERERE6CiRkRERGRk2BiRkREROQkmJgREd1ERkYGQkND8dZbb1nL9u7dC7VajZ9//tmBkRGRK+K9MomIbmHDhg246667sGvXLrRt2xbdunXD6NGjsWjRIkeHRkQuhokZEVE1PPnkk9i8eTN69OiBo0ePYv/+/dBqtY4Oi4hcDBMzIqJqKCkpQceOHXH58mUcOHAAnTt3dnRIROSCOMaMiKgazp8/j5SUFEiShEuXLjk6HCJyUewxIyK6hbKyMvTs2RNdu3ZF27Zt8d577+HYsWMICQlxdGhE5GKYmBER3cILL7yAr776CkePHoWnpycGDhwILy8v/PDDD44OjYhcDC9lEhHdxLZt27Bo0SJ89tln8Pb2hlwux2effYadO3di6dKljg6PiFwMe8yIiIiInAR7zIiIiIicBBMzIiIiIifBxIyIiIjISTAxIyIiInISTMyIiIiInAQTMyIiIiInwcSMiIiIyEkwMSMiIiJyEkzMiIiIiJwEEzMiIiIiJ8HEjIiIiMhJMDEjIiIichL/Dw3vEPHnDNcDAAAAAElFTkSuQmCC", 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", 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+eB0QTZsKyvSXT9Zoze7SesesFkNnDmqvy47qmnA931L18+uelxJ365UDQLzjpy4AhElDPWoAYoPPH9Ab32zVq4u3yNfAiJUju2XruuN7qmNWaEbGxBqHzaLueSly2pj/DQCRRggHgDAhhAOxaXtRhf704WqtbaD3u226U9ce31Mje+Qk7Pxol92i7nmprP0NAFFCCAeAMPD6A/L4EmSBcCCBzFm1W8/MW6cKb/CXZBZDOm9oJ10+omtCVwd32S3qkZcqGwEcAKKGEA4AYUAvOBBbyj0+/WPeOs1toPJ5l5wU3XxSHx3WPj0KLYscJwEcAGICIRwAwqDck9hF2YB4snZ3qf74wSrt2FdZ79gFwzrpl0d3S/ih2Xaboe65BHAAiAWEcAAIA3rCgdgwf12Rnvlim7z+4OJrWSl23XpKXx3RNTtKLYsci0Xqnpsqh40ADgCxgBAOACFmmqYqCOFAVPkDpv61eIdmf1dQ79gRXbN0yyl9lZ2S+GtjG0Z1AE/kee4AEG8I4QAQYlW+gMz6Kx4BiJCSSq/++MFqLd1SFLTfajF05ahuOm9oJ1kStPJ5XR2z3Ep18nEPAGIJP5UBIMQYig5Ez+a95Xrw3e/rzf/OdNv1hzP6aVCnzCi1LPJy0hzKSU383n4AiDeEcAAIMYqyAdGxYts+PfS/71VWFfxFWM82qbr7rP5qm+6KUssiz+2wqmNm8jxfAIgnhHAACLFKLz3hQKR9tmaPnvzoR/kCwXNBju2RqVtOG5BUc6KtFkNdc1JkJMmQewCIN4RwAAihQMBUpTcQ7WYASeWtpds0bcEG1S3FMO7IdjpvUF5SBXBJ6pTtphI6AMQwQjgAhFClz09RNiBCAqapGZ9v1H+Xbgvab7MYuu3Uvjqqgz1KLYue7FS7Mt3J97wBIJ4QwgEghCjKBkSGP2Dq6U/WaM7q3UH7Ux1W3X32AA3ulKnK0qLoNC5KHDaLOma6o90MAMAhEMIBIIRYHxwIP68/oCc++lGfr80P2p+X5tCkcwaqW25qlFoWXZ2z3bJYmAcOALGOEA4AIVTlI4QD4eTxBfTY+6u0aOPeoP3dclI06dyByktzRqll0ZWb5mA9cACIE/y0BoAQMU2KsgHhVOn166H//aClW4qC9vdtl6b7zxmkNFdyfqyx2wy1z2A5MgCIF8n5bgUAYVDpDVCUDQiTco9PD7zzvb7bXhy0f2DHDN03doBSHMn7kaZDJsPQASCeJO87FgCEGOuDA+FR6fXr/tnf6/sdwQF8aJcs3X1W/6RbguxA6S4b1dABIM4QwgEgRCoI4UDIVfn8mvxu/QA+vFu27jyzf1Kvh20YUocshqEDQLwhhANAiBDCgdDy+AJ6+H8/aPnWfUH7R/XM1f+dfpjs1uQN4JKUl+aU05a8owAAIF4RwgEgRBiODoSO1x/Qo+//oG82FwXtH9kjR78//TDZkjyA26yG2qYnZyV4AIh3yf0OBgAhUuXzK0BhdCAkfP6A/vTBai3eWBi0/8hu2brjjH5JH8AlqW26k2JsABCneBcDgBBgaTIgNAKmqb/MWaOF6wuC9g/tkqW7zuyf9EPQJclptygn1RHtZgAAWoh3MgAIgSofQ9GB1jJNU9MWbNDc1XuC9g/qmKG7z0ruImwHapfhkmHQCw4A8Yp3MwAIgSp6woFWm7Vkq95etj1oX7/26bpv7MCkXobsQG6HlSXJACDOEcIBIAQoyga0znsrd+jFLzcF7euWk6KJYwfK7SCA12iXQTE2AIh3hHAAaCXTNFXloyccaKkFa/P1j7nrgva1y3Dq/nMHKs3FQi41UpxWpbvoBQeAeEcIB4BWqvIFZJrRbgUQn77dXKgnPlytA/8LZaXY9cC5g5SbRq/vgViSDAASAyEcAFqJoehAy6zeWaKH3/tBvsD+CJ7isOr+cwaqY5Y7ii2LPW4HveAAkCgI4QDQSixPBjTftsIK3f/Od0H/fxxWi+49e4B6tkmLYstiU1vmggNAwiCEA0Ar0RMONE9RuUeTZn+nkkpf7T6LId1xxmEa1Ckzii2LTW6HRRn0ggNAwiCEA0ArUZQNaLpKr18PvPO9dhZXBu2/6aQ+GtEjN0qtim15zI0HgIRCCAeAVggETHkI4UCT+AOm/vTBaq3ZXRq0/5dHd9PJ/dtFqVWxzW4zWBccABIMIRwAWsHjJ4ADTWGapv45f50WbdwbtP/0ge118ZGdo9Sq2JeX5pRhGNFuBgAghAjhANAKzAcHmub1b7bqvZU7g/YN75at60/sRchshMUi5aQ4ot0MAECIEcIBoBWYDw4c2tzVu/WvhZuC9vVum6Y7zugnq4UA3picVIcs/P0AQMIhhANAK1SxPBlwUMu3Fukvn6wJ2tcuw6n7xg6Qy26NUqtin2FIuakUZAOAREQIB4BWqPIxHB1ozKaCMj30vx/kC5i1+9KdNk06Z6CyGWZ9UBkuuxw2PqYBQCLipzsAtJBpmgxHBxpRUFqlSbO/V7ln/xdVdquhe8YOUOfslCi2LD7kpPElBQAkKkI4ALRQlS8g0zz0eUCyKff4dP873yu/tKp2nyHp9lMP04AOGdFrWJxw2i1Kc9qi3QwAQJgQwgGghegFB+rz+QN67P3V2pBfFrT/18f10LG986LUqviSm0ovOAAkMkI4ALQQ88GBYKZp6pl56/TN5sKg/ece3lHnDe0UpVbFF8OQspgvDwAJjRAOAC3koSccCPL6kq364PtdQftG9czVr47tEaUWxZ+sFDvLtgFAgiOEA0ALMRwd2G/u6t3615fBa4Ef1i5dt53al1DZDDkMRQeAhEcIB4AWoiccqLZy2756a4G3z3DpnrP7sxZ4M7jsFqU4KMgGAImOEA4ALeAPmPL5KY0ObNlbrgf/932Da4Ezt7l5sukFB4CkQAgHgBagKBsgFZZ7NGn2dyqrCl4L/O6z+6tTtjuKLYs/hiFlue3RbgYAIAII4QDQAgxFR7Kr9Pr1wDvfa3dJVdD+W0/pq4EdM6PUqviV4bLLZuVjGQAkA37aA0ALUJQNycwfMPWnD1Zr7e7SoP1XHdNdx/dpE6VWxbfsVHrBASBZEMIBoAXoCUeyMk1Tz322Xos27g3af+ag9vrZMNYCbwmb1VC6ixAOAMmCEA4ALcCccCSrt5Zu1zsrdgTtG94tW785oZcMg6XIWiIrhQAOAMmEEA4ALcBwdCSjBWvzNf3zDUH7erVJ1e9P78da4K2QTRV5AEgqhHAAaCavP6AAGRxJZvnWIj3x4WoduDBfm3Sn7hs7UG4Ha4G3lMtuYS11AEgyhHAAaCbmgyPZbMgv1UP/+yFoLfBUh1UTxw5QDmtbtwprqQNA8iGEA0AzEcKRTHYWV2ri29+p3FN3LfAB6pabGsWWJQbmgwNA8iGEA0AzefyEcCSHfRVeTXxrpQrLvbX7DEm3n3qYBndiLfDWSnVaZWdtcABIOvzkB4BmoiccyaDC49f9s7/T9n2VQft/e2IvHds7L0qtSiwMRQeA5EQIB4BmojI6Ep3XH9Cj7/+gNbtLg/ZfelQXnTW4Q5RalVgMQ8pw2aLdDABAFBDCAaCZ6AlHIguYpp6es0bfbC4K2n/6gHYaN6JrdBqVgNKcNtkYig4ASYmf/gDQDP6AKX/APPSJQBwyTVP/nL9ec1fvCdo/skeOrh/dW4bBWuChkummIBsAJCtCOAA0A73gSGT/WrhJ/1uxI2jfgA4Z+r/TD5PVQgAPFcOQMgjhAJC0COEA0AyEcCSqWV9v0evfbA3a1z03RfeePUBOmzVKrUpMaU4bX2oAQBIjhANAM1T5/Ic+CYgzs5dt1wtfbgra1ynLrQfOG6Q0ioeFHGuDA0ByI4QDQDNQGR2J5uPvd+nZz9YH7WuT7tTk8wYpmyW0Qs4wpHQXIRwAkhkhHACawesnhCNxfPLDLj09Z03QvuwUux48b5DapDuj1KrExlB0AAAhHACawUMIR4L45Idd+ssna3Rgrf90p02TzxukjlnuqLUr0VGQDQBACAeAJjJNU14fy5Mh/jUUwFMdVt1/7kB1y02NWrsSnWFIGcyxB4CkRwgHgCaiFxyJoLEA/sB5g9SnXXrU2pUMUhxW2ax89AKAZMfXsQDQRCxPhnj38ffVc8AbCuB9CeBhl8lQdACACOEA0GReP0PREb/eWrpNzy3YELSPAB5ZVEUHAEhxOhx98eLFOuuss5Sdna3U1FSNGDFCL7/8crOuUVRUpPvuu09DhgxRenq68vLydNRRR2nKlCmqrKwMU8sBxDN6whGPTNPUi19tIoBHmdthkcMWlx+7AAAhFnc94XPnztXpp58uh8Ohyy67TJmZmXrzzTc1btw4bdy4UXfdddchr1FUVKQjjzxS69ev13HHHaff/OY3qqqq0nvvvafx48frP//5jz766CNZLLxZAtiPEI54EzBNTf1svd5ZviNof7rLpvvPGcgc8AjKoBccAPCTuArhPp9P11xzjQzD0Pz58zVs2DBJ0sSJEzVq1ChNnDhRF198sfr06XPQ6zz77LNav369br31Vj355JO1+z0ej4477jjNmTNHCxYs0AknnBDW5wMgvlCYDfHE5w/oL3PWaO7qPUH7c1MdeuC8QeqakxKlliUnliYDANSIq67eOXPmaN26dbr88strA7gkpaen695775XP59OMGTMOeZ3169dLks4666yg/Q6HQ6eeeqokaffu3SFsOYBEQE844kW5x6fJ7/5QL4B3yHTpsQuHEMAjzGGzyGW3RrsZAIAYEVchfO7cuZKk0047rd6xmn3z5s075HUGDhwoSXr//feD9nu9Xn388cdyu90aNWpUK1sLIJEEAqb8AQqzIfbtLqnUHW8s1zebC4P2d89N0WM/G6J2Ga4otSx5pbM2OADgAHH1rrBmzRpJanC4eXZ2tvLy8mrPOZhrrrlGL7zwgp544gl9/fXXOuqoo1RVVaX3339fhYWFevnll9WpU6eQtx9A/GIoOuLBml0lmvzu9yos9wbt798+XfedM1Bpzrh6208YDEUHABwort6N9+3bJ0nKzMxs8HhGRoa2bt16yOu43W7NnTtXv/nNb/Tiiy/W9p5bLBbdeOONOu6445rUnsZ6y1euXKl+/fqpoKCgSddBbKl5nQEHKq3yqbI0cVZOqCovjXYTEGJfbSrW0/O3yFNnKb2R3TI0/vjOsnlLVelt5MEJKhZe54YhVbq8qio1ot0UJCg+tyBZxOJr3efzyWZrfqSOq+HooZKfn69TTz1VX375pd59910VFRVp586deuaZZzRjxgyNHDlShYWFh74QgKTBUHTEqoBp6vVlu/XEp5vrBfDzBuXpttFd5GRprKhJsdtkGARwAMB+cdUTXtMD3ti3IMXFxY32kh/otttu0xdffKFly5ZpyJAhtde+9tpr5ff7df311+upp57S/ffff9DrLFy4sMH9NT3kubm5h2wLYhf/fjiQZ1+FXPJEuxkh50rLinYT0AollV498dGPWrIp+Itjq8XQ9Sf20ukD20epZbElmq/zjjluZaU4onZ/JA8+tyBZxNJrvSW94FKc9YTXzAVvaN53YWGh8vPzD7k8mSS9++67ysnJqQ3gBzrppJMkSUuWLGllawEkEq+PnnDElrW7S3XLa0vrBfBUh1WTzhlIAI8RzMMHANQVVyH8xBNPlCR9+OGH9Y7V7Ks552A8Ho+Ki4vl8dTv1dqzp3o5F6fT2ZqmAkgwHr8/2k0AJEmmaeqD73bq928s0+6SqqBjXbLd+tNFh2tol6zoNA5B3A6rbNa4+qgFAIiAuHpnOPnkk9WzZ0+9/PLLWrp0ae3+kpISTZ48WTabTVdddVXt/vz8fK1atUr5+flB1zn22GPl8/k0efLkoP1VVVW1+8aMGRO25wEg/njoCUcMKKn06o8frNaUT9fKW2f+9/F98vTExUPVhTXAY0YGS5MBABoQVyHcZrPpueeeUyAQ0PHHH6/rrrtOEyZM0OGHH67vvvtOkyZNUt++fWvPnzJlivr3768pU6YEXefRRx9Venq6HnzwQY0cOVK33Xabfve732nAgAH64IMPdOSRR+qaa66J9NMDEKNYIxyxYNnWIo1/5VstWBv8xbLVYuja43vo/047TG6HNUqtQ0PSXSxNBgCoL+6+oh0zZowWLFigiRMnatasWfJ4PBo4cKAmT56scePGNekaQ4cO1ZIlS/TII4/ok08+0ZQpU2Sz2dS7d2/df//9mjBhglwuV5ifCYB4wRrhiKZyj08vLNykd1bsqHcsJ9WhO87opwEdMqLQMhyMzWrwpQgAoEGGaZp074RYTXX0xqqnI7bVrO8eS5UXEV0llV5tzC+PdjNCqrK0SBLV0WPdkk2F+tvctdpTZ+63JI3skaPxJ/VRppve1sZE83WenWpX52ymBiD8+NyCZBGLr/WW5r646wkHgEjz+OgJR2QVlFZp+ucbNX/NnnrHnDaLrj2+p04b0I71p2NYupMvRwAADSOEA8Ah1C2ABYSL1x/Qf7/dpllLtqjSW//LnwEdMnTzyX3UMcsdhdahqQxDSqMoGwCgEbxDAMAheJkTjjALmKbm/7hHL361SbuK6w89d9utuuqY7jpjUHtZ6P2OeW6HVVYL/04AgIYRwgHgEKoYjo4wMU1Tizfu1QtfbtLGgobrDozskaPfnNBLbdKdEW4dWirdyccrAEDjeJcAgEOgJxyh5g+Y+nxtvl7/Zqs25Jc1eE6nLLeuO76njuiWHeHWobVYmgwAcDCEcAA4CNM05WNOOEKktMqnOat26Z3lO7RjX2WD56Q5bbpkeGeNHdJRdqslwi1Ea1ktLE0GADg4QjgAHARF2dBapmlqze5SffT9Ln26enej0xucNovOG9pJFwzrpDSGM8etdAqyAQAOgXcKADgIhqKjpXYWV+qzH/dozurd2lpY0eh5brtVZwxqrwuGdlJ2qiOCLUQ48AUKAOBQeKcAgIMghKOp/AFTG/LLtGhDgRauL2i00FqNDJdN5xzeUWcP7sAc4gTC0mQAgEPhnQIADsJDCEcjfP6ANhaU68ddJVq+tUjLt+5TSZXvkI/r2y5NZw/uoON6t5HDxpzvROKyW5jHDwA4JEI4ABwEc8JhmqaKK33aXlShbYUVWpdfqjW7SrU+v7TJr48Ml00n9G2jk/u1U++2aWFuMaKFXnAAQFPwbgEAB+FljfCEZJqmvH5T5R6fyj1+lXv8Kqn0qrDco71l1b8Xlnu0u7hK24oqVNqEHu66Up1WHdU9R8f1ztORXbNlo4c04TEfHADQFLxbAMBBMCc8PCq9fu0pqdK+Cq/2VXhVXOlVcYVXpVU+VfkCqvIF5PUH5Pnpzx5fQP5Ada+zKVOmKZnVG9XbtX+uDtiSFDClwE9LzPkCpnyBgPw//dnrD8gXCP0oh645KRraJUsjuudoYMcMgncSMQwp1cHHKgDAofFuAQAHwZzw1iks82jN7lJtKCjTjqIK7Syu1I6iSu0t90S7aa1mtxrqmZemPu3SdFi7dA3pnKUcqpsnrVSnTRaLEe1mAADiACEcABrhD5gKkMGbzDRNbS+q1LKtRVq+tUg/7CzR3rL4D9sWQ2qf4VLHLLc6ZrnVOdutPm3T1S03hSJcqJXqtEa7CQCAOEEIB4BGMBT90AKmqdU7S/T52nwtXF+g3SVV0W5SoyyGZLNYZLMaslkMpThsSnFY5XZYleqwKcVpVXaKQzkpDmWnOpSTYldumlNt050MK8chpTtZZg4A0DSEcABoBCG8cbuLK/XB97v0yQ+7VNCC3u7cVIfaZ7qUneJQptuuDJdNmW670l12Oe0WOawWOWwWOW1WOWzV21aLIcOQagb8GoZR/eef9hlG9ZHqP0uGDFkskv2nx1oMhgojPKwWQ24HPeEAgKYhhANAI1ieLJhpmlq2dZ/eWrpNSzYVqil/O23TnerVJk2926apa06KOmS61C7DJZedwILEQVV0AEBz8K4BAI2gJ7yaaZr6dkuRXlm0Wat2lhz03Lw0p4Z1ydKQzpkUKkPSYH1wAEBz8K4BAI3wsEa41u4u1bPz1+mHg4TvtulOHdc7T8f2zlOftmm1w8KBZEFRNgBAcxDCAaARydwTXlLp1QtfbtL7K3c2OOzcYkgjeuTozEEdNLRLFvOtkbTsNkNOGyEcANB0hHAAaIQvkJxzwj9bs0f/mLdOJZW+esdsFkNnDGyvnx3RWW3SnVFoHRBbmA8OAGgu3jkAoBHJNhy9wuPXs5+t08c/7K53zGJIZw7qoIuO7Ky8NMI3UIMQDgBoLt45AKAB/oApM4k6wtfuLtUfP1ilHfsq6x0b1DFDvz2xl7rlpkahZUBsSyWEAwCaiXcOAGhAMs0H/2zNHj318Rp56jzndJdN1x3fUyf2bUOxNaABTrtFdqsl2s0AAMQZQjgANKBuIE1EpmnqtcWb9eJXm+sdG9olS7ec3Ee5DD0HGsVQdABAS/DuAQAN8PkTeyy6L2DqH59v0/x1RUH7rRZDV47qpvOGdqLiOXAIDEUHALQE7x4A0IBEHo7u8wf01Lwt+mpTcdD+NKdNd53ZT4M7Z0WnYUCcSXWwNBkAoPkI4QDQgEStjO7zB/THD1bXC+AdMl2aOHagOmW7o9QyIL64HRbZmA8OAGgBQjgANCAR1wj3+gP60wertXB9QdD+fu3Tde/ZA5ThtkepZUD8YSg6AKCleAcBgAYk2nB00zQ1Zc7aegG8f4cMTTpngFIcvB0AzUEIBwC0FOOoAKABiRbCX128RXNW7w7a179dCgEcaAHDkFL5fwMAaCFCOADU4Q+YCiRQBv909W69vCh4GbLD2qbozlO6EcCBFnDZLbJaWD0AANAyhHAAqCOResFXbNunpz9ZE7SvU5Zbd5zcVW47lZ2BlmAoOgCgNXgXAYA6EiWE7y3z6I/vrwoqMpfhsmniOQOUbq2KYsuA+EYIBwC0Bj3hAFCHzx//ldH9AVNPfLhaRRXe2n12q6F7zh6gDpksQwa0FPPBAQCtRQgHgDoSoSd81tdbtHzbvqB940/qo/4dMqLUIiAxuOxW5oMDAFqFEA4AdXjjfI3w5VuL9EqdQmynDminMYe1jVKLgMSRxlB0AEArEcIBoA5fHPeEl1b69MSHP+rArxG65qTouuN7Rq1NQCJJcVLQEADQOoRwAKgjnoejT/98g/aWe2q3nTaL7jijn1xUQgdajfngAIBQIIQDQB3eOC3MtmxLkT76YVfQvutO6KmuOSlRahGQWFgfHAAQCoRwADiAaZpxWR290uvXlE/XBu0b1iVLp/ZvF6UWAYmHpckAAKFACAeAA8RrL/hLX23SzuLK2m2nzaIbxvSWYdBrB4QKIRwAEAqEcAA4gC8Qf/PB1+4u1dvLtgft++XR3dQuwxWlFgGJifngAIBQIIQDwAG8vvjqCTdNU88tWK8DV1U7rF26xg7pGL1GAQnI7WA+OAAgNAjhAHAAb5z1hH+5Ya++215cu20xpBvH9CYsACGWQi84ACBECOEAcIB4Wp7M6w9oxucbgvadPrC9uuelRqlFQOJiPjgAIFQI4QBwgHiqjP6/FTu0Y9/+YmwpDqsuH9E1ii0CEleqwxrtJgAAEgQhHAAOEC894SWVXr26eEvQvkuGd1FWiiNKLQISl8tukc3KRyYAQGjwjgIAB4iXJcpmfb1FpVW+2u226U6dQzE2ICxSGIoOAAghQjgAHCAeesKLyj3638qdQfuuOqa7HDZ+pAPhkEZRNgBACPGJDQB+4g+YMuOgI/y/S7fJ49v/ZUHvNmk6rndeFFsEJLYUJ/PBAQChQwgHgJ/EQy/4vgqv3l2xI2jfpUd1kWGwJBkQDg6bRXbmgwMAQoh3FQD4iS8Q+93gby/brkrv/i8LeuSlamSPnCi2CEhsqfSCAwBCjBAOAD/x+mK7J7y00qfZy7YH7bt0OL3gQDilMh8cABBihHAA+Ik3ENsh/O1l21Th9ddud81J0aheuVFsEZD4UqmMDgAIMUI4APzEF8PLk1V6/Zq9vM5c8OFdZKEXHAgbu81g1QEAQMjxzgIAP4nlED7vxz1B64J3ynLrWCqiA2HFUHQAQDgQwgHgJ54YrY5umma9ueDnHt5RVgu94EA4pTgoygYACD1COAD8xBejc8JXbNunTXvLa7dTHVad1K9tFFsEJAfmgwMAwoEQDgA/idXh6LOXB/eCnzqgvVx2euiAcLJaDP6fAQDCghAOAJJ8/oDMGMzgO4sr9dX6vbXbhqSzh3SIXoOAJMH64ACAcCGEA4AkXyAGE7ikd5fv0IEtG9EjR+0zXFFrD5AsUijKBgAIE0I4AEjyxmBRtkqvXx/9sDNo3zmHd4xSa4DkksZ8cABAmBDCAUCSNwbng3++Nl9lVf7a7a45KRrSKTOKLQKSg8Uiuex8RAIAhAfvMACg6jnhsebjH3YFbZ81qL0Mg2XJgHBLcdj4vwYACBtCOABI8sbYnPCd+yq1cntx7bbdaujEvixLBkRCKuuDAwDCiBAOAIq9nvCPVwX3gh/dM1dpLuaoApHA+uAAgHAihAOAYmtOeMA0NWfV7qB9p/RrF6XWAMnFMCQ364MDAMKIEA4AknyB2OkJX751n/aUVNVu56U5dHiXrOg1CEgibodVFgvzwQEA4UMIBwBJvhjqCa9bkG3MYW1lJRQAEZHK+uAAgDAjhANIej5/QGaMZPDSKp8WrisI2ndKf4aiA5GS4mQoOgAgvAjhAJKeL4Yqoy9Yky/PAUXiBnbMUMcsdxRbBCQXesIBAOFGCAeQ9LwxVBl9wdo9Qdsn92NZMiBS3A4LUz8AAGFHCAeQ9GJlPnhRuUcrtu2r3bZZDI3qlRfFFgHJJYVecABABBDCASQ9b4xURl+4vkAHjowf1jVLaaxXDEQMQ9EBAJFACAeQ9GKlJ3zBmvyg7eN6t4lSS4DkRFE2AEAkEMIBJL1YmBNeWObRyu3BQ9FH9siJYouA5OKwWWS38rEIABB+vNsASHreGOgJ/6LOUPQju2UrlaHoQMSk0gsOAIiQuAzhixcv1llnnaXs7GylpqZqxIgRevnll5t9nZKSEk2cOFGDBg1SSkqKsrKydMQRR+j+++8PQ6sBxCpfDMwJ/3xt3aHoFGQDIon54ACASIm7d5y5c+fq9NNPl8Ph0GWXXabMzEy9+eabGjdunDZu3Ki77rqrSdfZvHmzTjrpJK1fv16nnHKKzj77bFVVVWnt2rV64403NHHixDA/EwCxItpzwgvLPFp5QFV0u9XQCIaiAxHFfHAAQKTEVQj3+Xy65pprZBiG5s+fr2HDhkmSJk6cqFGjRmnixIm6+OKL1adPn4Nex+/366KLLtL27dv1ySefaMyYMfXuAyA5+PwBmVEejf7Funwd2IQjumazVBIQQTarIaeNEA4AiIy4Go4+Z84crVu3TpdffnltAJek9PR03XvvvfL5fJoxY8Yhr/P6669r8eLFmjBhQr0ALkk2Gx9+gWThC8TAfPB1BUHbDEUHIouh6ACASIqrd525c+dKkk477bR6x2r2zZs375DXee211yRJF198sbZs2aJ3331XRUVF6tWrl84880ylpaWFrtEAYlq0Q3hplU/f7Siu3bZZGIoORBpF2QAAkRRXIXzNmjWS1OBw8+zsbOXl5dWeczBff/21JGnBggW69dZbVVVVVXusTZs2mjVrlkaPHh2aRgOIab4oL0/27eZC+Q/4ImBwp0yGogMRxkoEAIBIiqt3nX37qgsXZWZmNng8IyNDW7duPeR1du/eLUkaP368JkyYoBtvvFEul0uvvPKKJkyYoPPPP18//PCDOnTocNDrjBo1qsH9K1euVL9+/VRQUNDgccS2mtcZkkNRuVeVZVWHPjFMFq7ZGbQ9rKNblaVFYb9vVXlp2O8BRFtTXueGIZUV+1QWgfYA4cDnFiSLWHyt+3y+Fk1ljqs54aES+Gk5orFjx+rRRx9V586dlZeXp/Hjx+vWW2/Vvn37NG3atCi3EkAk+KO4PJk/YOrbbcEh4YjO6VFqDZCcXPa46o8AACSAuHrnqekBb+xbkOLi4kZ7yeteJz8/X+eee269Y+ecc44ee+yx2iHrB7Nw4cIG99f0kOfm5h7yGohd/Pslh3KjXFVWb1Tu/d32fSqt8tdud81JUbcObSPaBldaVkTvB0TDwV7nbTOdyk13Ra4xQJjwuQXJIpZe6y0t6B1XPeE1c8EbmvddWFio/Pz8Qy5PJkmHHXaYJCkrK6vesZp9FRUVLW8ogLjhjeKc8MUbC4O2j+pOQTYg0tKYDw4AiLC4CuEnnniiJOnDDz+sd6xmX805B3PSSSdJkr7//vt6x2r2de/evaXNBBBHolkdffHGvUHbVEUHIsswJLedyugAgMiKqxB+8sknq2fPnnr55Ze1dOnS2v0lJSWaPHmybDabrrrqqtr9+fn5WrVqlfLz84Ouc/XVV8vpdOqvf/2rtm3bFnSdhx9+WJJ0ySWXhPW5AIgN0eoJ31lcqc17y2u30102HdaO+eBAJKU4rDIMI9rNAAAkmbgK4TabTc8995wCgYCOP/54XXfddZowYYIOP/xwfffdd5o0aZL69u1be/6UKVPUv39/TZkyJeg6PXr00J/+9Cft3r1bhx9+uK699lrdeOONGjJkiJYuXarrrrtOJ598cqSfHoAICwRMRasu2+INwb3gw7tly2ohDACRxNJkAIBoiLt3nzFjxmjBggWaOHGiZs2aJY/Ho4EDB2ry5MkaN25ck68zfvx4de/eXX/605/06quvyufzaeDAgbrrrrt07bXXhvEZAIgV3ihWRq87FJ354EDkEcIBANEQl+8+I0aM0HvvvXfI8yZNmqRJkyY1evycc87ROeecE8KWAYgnPn905oNXev1asW3/Kg9Wi6EjumZHpS1AsjIMKYX54ACAKAhZCP/kk080Z84cffHFF9q6davy8/OVkpKiNm3aaPDgwTrxxBM1duxYtW/fPlS3BIBWiVYI/357cVBBuP7t0+mRAyLMZbfKwhQQAEAUtOpTX2lpqZ5++mlNnTpVmzdvlmlWf6h0uVzKyclRRUWFVq5cqeXLl+ull16SzWbTueeeq1tvvVXHHntsSJ4AALRUtIajL91aFLQ9lF5wIOJYmgwAEC0tLsz2zDPPqHfv3rrnnnuUlZWlBx98UHPmzFFxcbHKy8u1detWFRQUyOv1atWqVZo5c6YuvfRSffjhhzrhhBP0s5/9TBs2bAjlcwGAZolWT/jSLUVB20M7Z0WlHUAyS3EyFB0AEB0tDuHjx4/XGWecoRUrVujbb7/VnXfeqdGjRystLS3oPMMw1LdvX/3yl7/UCy+8oF27dmnq1KlasWKFXnjhhVY/AQBoqWgsT1ZU7tGG/LLa7VSHVb3bph3kEQDCIdVBTzgAIDpa/A60atUq9erVq9mPc7vd+tWvfqUrr7xSW7dubentAaDVDpyXHSnLt+4L2h7SOYulyYAIczss/L8DAERNi3vCWxLAD2S1WtWtW7dWXQMAWsMXhZ7wukPRD++SFfE2AMkuhV5wAEAUtTiE1+X3+5t03u7du0N1SwBoFW+E54SbpqlvmQ8ORB2rEQAAoilkIfzYY489ZKG1d999V0OGDAnVLQGgxUzTlD/Cw9F37KtUfmlV7XZemlMds1wRbQOA6loMAABES8hC+OLFizVs2LAGi615PB7ddNNNOvfcc+Xz+UJ1SwBosWjMB6/XC94lU4bBvFQgklx2i2zWkH38AQCg2UL2LvTxxx8rLS1NV111lS6//HIVFxdLkr777jsNHz5cU6ZM0QknnKClS5eG6pYA0GLRWJ5sWb0QzvrgQKSlMBQdABBlIQvhY8aM0YoVK3Teeefp1Vdf1dChQ3XvvfdqxIgRWr16tR5++GHNmTNHnTt3DtUtAaDFvIHIFmXzB0wt31oUtG9I58yItgGAlEZRNgBAlIV0PFZ2drbefPNNPfjgg9q4caMefvhhpaam6osvvtAf/vAHhl0CiBmR7glft6dUZZ79BSy756YoO8UR0TYAkFKczAcHAERXyCdFffzxx/rb3/4mSUpNTVVBQYH+8Y9/qLy8PNS3AoAWi/TyZCu3Ba8PfjhV0YGIc9otsjMfHAAQZSF7J/L5fPr973+vM844Q2VlZXrppZe0fv16nXnmmZo+fbqGDRumJUuWhOp2ANAq3ggXZvt+R3HQ9sBODEUHIo2lyQAAsSBkIXzUqFF6/PHHNWLECC1dulQ///nPlZeXp3feeUdPPfWUtmzZomOOOUaPPvpoqG4JAC0WyZ7wgGnqu+3BIXxAh4yI3R9ANZYmAwDEgpCF8G+//Vb33HOPPvvsM3Xv3j3o2E033aSvvvpKffv21d133x2qWwJAi3kjOCd8y95ylVbtX56xS06KMt32iN0fQDV6wgEAsSBk70Zz5szRCSec0OjxwYMH6+uvv9aECRNCdUsAaDFfBKujr6zTCz6oI73gQKQ5bMwHBwDEhpC9Gx0sgNdwOp3661//GqpbAkCLRbI6+vfbg4uyMRQdiLxUqqIDAGIEXwkDSDr+gCkzQhncbGA++MCOFGUDIi2NoegAgBhBCAeQdLwRLMq2q7hKBWWe2u226U61SXdG7P4AqjEfHAAQKwjhAJKOL4LLk31XZyj6IHrBgYhjfXAAQCzhHQlA0onk8mT1hqJ3Yj44EGn0ggMAYgkhHEDSieTyZHV7wgd2oCcciLQ0ByEcABA7COEAkk6klicrLPNo+77K2u2sFLs6Zrkicm8A+1EZHQAQSwjhAJJOpJYn+25HnaHoHTJkGEZE7g2gmsNqkY354ACAGMK7EoCkE6nCbD/UCeEDKMoGRJzLQS84ACC2tHiSVM+ePUPWiFtuuUU33XRTyK4HAAcTqcJsq3eWBG0P6EBRNiDSXHZCOAAgtrQ4hHft2jVkwyqzsrJCch0AaIpIFGbz+gNat6e0dtthtah7bkrY7wsgWAohHAAQY1ocwufOnRvCZgBAZJimKX8EhqOv31MWNOy9d9s05qUCEeawWWSxUIcBABBb+EQIIKlEanmy1buC54Mf1j49IvcFsJ+bXnAAQAwihANIKpFanqzufPDD2hHCgUhzU5QNABCDCOEAkkqkKqOvqhvC6QkHIsowJJeNEA4AiD2EcABJJRJrhBeWebS7pKp2OzfVobw0Z9jvC2A/t8PKfHAAQEwihANIKpFYnmz1LnrBgWhLd7a49iwAAGFFCAeQVLwRGI7OfHAg+lIJ4QCAGEUIB5BU6AkHEp/FIqVQlA0AEKMI4QCSSriXKPMHTK3ZvT+EWy2GerVJC+s9AQRLc9pkGMwHBwDEplaF8OXLl2v37t3NOv9f//pXa24JAK0S7iXKNu8tV6V3/z165KbKxVrFQEQxFB0AEMtaFcKHDRumZ555JmjfY489ptzc3AbP/89//qOrr766NbcEgFYJd3X0uvPB+zIUHYi4NEI4ACCGtSqEm2b9D7OVlZUqKipqzWUBICz8AVMN/NgKqdW7ioO2KcoGRJbdZjD6BAAQ05gTDiBpeCNQlO3HXaVB24RwILLoBQcAxDpCOICk4Qvz8mSVXr+2FpbXbqc6rOqY5QrrPQEES3fao90EAAAOihAOIGmEe3my9fllOjDn92qbRoVmIMJSnQxFBwDENkI4gKQR7uXJ1u4OHorem6XJgIhyO6yyWfloAwCIba2eOFVWVha0TFlpafWH0D179tQr3FZzDACiIdzLk62rG8LbEsKBSEp3MR8cABD7Wv1u9fjjj+vxxx8P2meaptq3b9/aSwNASIV7ebI1ewjhQDQRwgEA8aBV71YnnHAC8x0BxI1wVkev9Pq17cCibE6r2mdQlA2IFKvFkJulyQAAcaBVIXzu3LkhagYAhJ8/jNXR6xVla0NRNiCS0pw2/s8BAOJCxKuX7NmzJ9K3BABJ4S3MRlE2ILoYig4AiBcRCeGmaep///ufLrzwQnXp0iUStwSAIKZphrUnfO3ukqBt5oMDkUUIBwDEi7C+Y61fv17Tp0/XzJkztX37dpmmqXbt2oXzlgDQoLAvT7anLGibEA5EDkuTAQDiSchDeGVlpV5//XVNnz5d8+bNq76Jzabzzz9fV199tc4888xQ3xIADimcy5NVeCjKBkQTveAAgHgSsnetJUuWaNq0aXrllVdUXFws0zQ1fPhwff3117ryyiv17LPPhupWANBs4ewJX59fSlE2IIoI4QCAeNKqd63CwkK9+OKLmjZtmlasWCHTNNW5c2f99re/1ZVXXql+/frJYmF4GIDo84VxebJ1ddYH78NQdCBibFZDKQ5COAAgfrTqXatjx47yeDxKSUnRuHHjdMUVV+jkk0+mBwhAzAlvUbbgEN6LyuhAxNALDgCIN61656qqqpLFYtGVV16p3/3udxowYECo2gUAIeWNYAinKBsQOekue7SbAABAs7RqrPg999yjzp076+9//7sGDx6so446Sk8//bR2794dqvYBQEiEazh6pdevrYUVtdsUZQMixzCkdCc94QCA+NKqEP7AAw9ow4YNeu+993ThhRdqxYoVuuWWW9S5c2eNHTtWr776aqjaCQCtEq7CbBsLynTglXvlUZQNiJQ0p00WC//fAADxpdVV0wzD0Omnn65Zs2Zp+/btevLJJ9WvXz/973//07hx42QYhpYsWaLPPvssFO0FgBYJ1xJlG/KD1wfvkZcalvsAqC/DzVB0AED8CWnp8pycHN1yyy1avny5vvrqK1177bVKT0/Xt99+q9GjR6tPnz565JFHQnlLAGgSX5h6wuuG8J5tCOFApGRQlA0AEIfCtn7YUUcdpWeeeUY7duzQ888/r+OOO07r1q3TPffcE65bAkCDfP6AzDDVZVu/h55wIBpSnFbZrCyDCgCIP2F/93K73briiis0b948/fjjj7rjjjvCfUsACOILU2V0f8DUpr37Q7jNYqhzdkpY7gUgWAZV0QEAcSqiXyH37t1bDz/8cCRvCQDyhqky+s59lar07r9215wU2emZAyIiw81QdABAfGrxp8XXX3+9VTfetm2bFi5c2KprAEBThGs++Pr84PXBuzMUHYgIl90ip80a7WYAANAiLQ7hl156qQ4//HC98MILKisrO/QDfrJ06VLdcMMN6t27tz755JOW3h4AmswbocroPQnhQERkUhUdABDHWjyW66uvvtLtt9+uK6+8Utdff73OPPNMjRw5UkcccYTatWun7OxsVVRUaO/evVqzZo0WLVqkjz/+WD/88IPS09N133336dZbbw3lcwGABvnDNCecEA5EB0uTAQDiWYtD+PDhwzVv3jx99NFHeuaZZ/TWW2/pjTfekGEYDZ5vmqZ69uyphx9+WNdcc41yc3Nb3GgAaI7wDUevWxk9LSz3AbCfy26Ry85QdABA/Gp1VZNTTz1Vp556qgoLCzV//nx98cUX2rp1qwoKCuR2u9WmTRsNHjxYJ554ooYMGRKKNgNAs4SjMNu+Cq/2lnlqt9ukO5XGmsVA2DEUHQAQ70L2iTE7O1vnnXeezjvvvFBdEgBCIhxLlDEUHYiOzBRCOAAgvrGWDoCEF46e8PV7qIwORJrbQVV0AED8a3UI//LLL3XyyScrIyNDGRkZOuWUU7Ro0aJQtA0AWi0QMBWO4ugbCugJByItK8UR7SYAANBqrRqOvmLFCp100kmqrKys3TdnzhyNGTNGixYt0sCBA1vdQABojbAtT7anbginKBsQbswHBwAkglb1hD/66KOqrKzU3XffrZ07d2rXrl266667VFFRocceeyxUbQSAFgtHZXSPL6AtheW12267VW0znCG/D4D90lw22a3MogMAxL9W9YR/9tlnOu644zR58uTafQ8++KDmzZunefPmtbpxANBa4Qjhm/eW68Babz3yUmVpZHlGAKGRRS84ACBBtOor5V27dunoo4+ut//oo4/Wrl27WnNpAAiJcAxH31hvfXDmgwPhZLEwFB0AkDhaFcK9Xq/S0urPg0xLS5PX623NpQEgJMLRE76xTlG2brkpIb8HgP0yXHZZLIw2AQAkBiZXAUho4ViebNPe8qDt7rn0hAPhlJNKVXQAQOJo1ZxwSXrxxRf15ZdfBu1bu3atJOmss86qd75hGHr33Xdbe1sAaBJfgJ5wIJ45bBalOlv9cQUAgJjR6ne1tWvX1obuut5///16+wyKFwGIIF+Ie8L3VXhVVL5/uk3bdKdSHAQEIFzoBQcAJJpWfXLcsGFDqNrRLIsXL9bEiRO1cOFCeTweDRw4ULfccosuv/zyFl3P6/XqqKOO0rJly3TYYYdp1apVIW4xgGjxhnhOOL3gQOQYhpSdQkE2AEBiaVUI79atW6ja0WRz587V6aefLofDocsuu0yZmZl68803NW7cOG3cuFF33XVXs685efLkRnvzAcQv0zTlD/Fw9E11QjjzwYHwyXTbZWNtcABAgomrdzafz6drrrlGhmFo/vz5mjp1qh5//HEtW7ZMAwcO1MSJE7VmzZpmXfObb77RI488okceeSRMrQYQLaHuBZekjQXBRdm6EcKBsGEoOgAgEcVVCJ8zZ47WrVunyy+/XMOGDavdn56ernvvvVc+n08zZsxo8vU8Ho+uuuoqHX300brxxhvD0WQAUeQLwxrh9XvCGY4OhIPbQUE2AEBiiqt3t7lz50qSTjvttHrHavbNmzevydebNGmS1qxZo2XLllEwDkhAoe4JD5imNh+wPJnNYqhTljuk9wBQLTfVGe0mAAAQFnEVwmuGmvfp06fesezsbOXl5TV5OPrixYv1xz/+UQ8//LD69u3bovaMGjWqwf0rV65Uv379VFBQ0KLrIrr27dsX7SYgRPZVeFVZWhWy6+0srlKld3/vesdMh3wVxfKF7A6RU1VeGu0mAI2yGIb8Lq8KKlv3BTk/z5EMeJ0jWcTia93n88lma36kjqsQXvMXn5mZ2eDxjIwMbd269ZDXqaqq0lVXXaVhw4bp9ttvD2kbAcSOUBdl21IUHOi7ZrtCen3AYbPIabPIbrXKZjFktRoyJJmS/P6AvAFTXl9AFT6//GGoeRArMt12RqgBABJWXIXwULn33nu1Zs0aLVmyRFartcXXWbhwYYP7a3rIc3NzW3xtRB//fvGvwlKuSov30Cc20fay4qDtnu2y5ErLCtn1oyHe2x/vDEPKcNmV6bYrzWWT1dL04Fnp9WtfhVeF5R55fYkTyC0WqUf7jGb9XRwKP8+RDHidI1nE0mu9Jb3gUpyF8Joe8MaGIhQXFzfaS17jm2++0ZNPPql7771XgwcPDnkbAcQOX8jXCA+ujM7yZGgpp92i3FSHslIcLQ6bLrtVLrtV7TJc2lfh1Z6SKlV4/CFuaeTlpLb87wQAgHgQV9XRa+aCNzTvu7CwUPn5+Q3OFz/Q8uXL5ff7NWnSJBmGEfRLklavXi3DMJSVlRXy9gOIrFBXR69bGb0bldHRTClOq7rlpahvu3TlpjlDFjYz3Xb1bpumbnkpctrj6q09iGFIeWkUZAMAJLa46gk/8cQT9cgjj+jDDz/UZZddFnTsww8/rD3nYPr27atf//rXDR6bNm2aMjMzddFFFyklhQ/XQLwLZXV0rz+gbUUVtdupDqvaEBbQRG6HVe0zXUoL85JbGS670p025Zd6tKu4UmacjVLPTXPIbo3fLxEAAGiKuArhJ598snr27KmXX35ZN910k4YOHSpJKikp0eTJk2Wz2XTVVVfVnp+fn6/8/Hzl5eUpLy9PknTMMcfomGOOafD606ZNU/v27fXcc8+F+6kACDPTNEM6HH3L3nIdWOeta24qhaNwSE67Re0yXMp02yN2T8Mw1CbdqQy3TdsKK1RWFR9D1C0W8cUWACApxNXXzTabTc8995wCgYCOP/54XXfddZowYYIOP/xwfffdd5o0aVLQcmNTpkxR//79NWXKlCi2GkA0hHqN8PrzwRktg8ZZLYY6ZLnUp21aRAP4gZw2q3q2SVP7TJfi4fuivDSnbPSCAwCSQFz1hEvSmDFjtGDBAk2cOFGzZs2Sx+PRwIEDNXnyZI0bNy7azQMQI8I/H5yibKjPMKTsVIfapcdOoGyT7lSa06bNe8vl8YX2/0Wo2KwGveAAgKQRdyFckkaMGKH33nvvkOdNmjRJkyZNavJ1zXibPAegUaHuCd+8N7gnvFsOPeEIluq0qmOWWy57y5e+DBe3w6rebdO0tbBcxRW+aDenng6ZLlmoiA4ASBJxGcIB4FB8/tD2+NUN4V0J4fiJ3WaoQ4ZbmSnRGXbeVFaLoW65qdpdUqld+6qi3ZxaKU6rslIc0W4GAAARQwgHkJB8gdD1hFd4/Npdsj+0ZKXYlRGleb6IHYYhtU13Ki/NGVe9uG3TXXLbrdq8t1whnrXRbIYhdcpyR7cRAABEGCEcQELyhrAnfEshveAIlp1qV7sMV9wup5Xuql5XfFNBuaq80UvibdOdMTl8HwCAcCKEA0hIoVyebHMBIRzV0l02tc90JURwdNqs6tUmevPEU5xWtUmnGBsAIPkQwgEkpFD2hG9iPnjSS3Va1S7DpVRnYr1t1s4TL67UruLIzRO3Wgx1yU6REQ9rpwEAEGKJ9WkCAH4SyuroFGVLXukum9qkOxMufNfVNsMlt8OqLXsr5A9hPYWGGIbUJccthy0+h/IDANBaif2pAkBSMk0zpEGi/vJkrBGeyAyjuvheXlpyzVeunidu1ZbCcpVX+cN2n45ZbqW7KGwIAEhehHAACSeUveDlHp/yS/cP081JcSjNxY/OROR2WJSd4lBWikPWOKp2HkoOm0U981K1u6RKe0qqZIa4U7xdplM5qSxHBgBIbnySBJBwfCFcd2nL3oqg7a65DEVPJG6HVRlumzLddjltydPrfTCGYahdhkvpLpu2FVaoMkTV0ztkuZSXRiE2AAAI4QASTmjng5cFbTMfvHF2myG33SqnzSq71ZDdZpHVMOr1KgdMUwFT8geqpw34AgH5/KZ8flPen/7s9QdC3gtrGJLLblWKw6pUh02pTqtscbrEWCSkOGzq3TZNe0qre8Vb+t2W1WKoSw5D0AEAqEEIB5BwfCGsjF53PniXbEJ4DcOQMt12pbtsSnXaQr5mts8fkC9QHch9flO+A0J7IFAT5k0dmNUthiGLUR38bBZL7ZcBTptFDquFatzNZBiG2qa7lJPiUH6pRwVlzQvjWSl2tc+M3/XUAQAIB0I4gIQT1sroDEeX22FVbqpDmW67LGGcO22zWmSzKqmKo8Uqm9Wi9pkutUl3al+FV0XlHpV7/A2OVrBaDGW4bUlX2A4AgKYihANIOKFcI5zlyfZzO6xql+FkWHESs1oM5aQ6lJPqUCBgqsoXkMcXkClThmHIabMQvAEAOARCOICE4wvR8mRlVT7ll3pqt3NSHUpL8PWiG2K1GOqQ6VI2Va1xAIvFkNthldtB6AYAoDmS79MkgIQXqp7wLfSCK8NtU6csNwXMAAAAQoQQDiDhhCqEb0riEG4YUvtMlpQCAAAINUI4gIQSCJgtXkqprmSdD26xSN1yU5Ny6D0AAEC48QkLQELxhLEoW7ckCOE2q6EeeakU1wIAAAgTQjiAhBKqomxSA2uEJ3gIt9uqA7jTRgAHAAAIFyrtAEgovhD1hJdW+bS3bH9l9Lw0h1ITeHh2TQ84ARwAACC8COEAEkqohqMn03xwi0XqnksABwAAiARCOICE4vOHZjj65oLkCOGGUT3MnrWeAQAAIoMQDiChhCqEbylMjhDeLsOlDJc92s0AAABIGoRwAAklfMPRU0Ny3ViS4rCpTTrrgAMAAEQSIRxAQvGFaJHwusPRu+S4Q3LdWGG1GmpLAAcAAIg4QjiAhBKK4eillT7tLd9fGb1NulMpjsSqjN4u3SWLxYh2MwAAAJJOYn2qBJDUvP6AzBBMCd+0tyxoO9Hmg7dJd8ru80W7GQAAAEmJnnAACSNkldETeHkyp92idhkMQwcAAIgWQjiAhBG2omzZiRPCO2a5ZRgMQwcAAIgWQjiAhOELUQjfUjeE5yZGCM9KsSvNySwkAACAaCKEA0gY3jANR++cHf+V0S0WqX2mK9rNAAAASHqEcAAJwxuCnvCSSq8Ky72124lSGb1tukt2Kz/yAQAAoo1PZAASRihCeCIWZXPYLMpLc0S7GQAAABAhHEAC8QVaPxw9EUN4uwwnxdgAAABiBCEcQMLw+FrfE16vKFucV0Z3OyzKSqEXHAAAIFYQwgEkBH/AlBmCumz1esLjvDJ62wyKsQEAAMQSQjiAhBCK+eBSYlVGdzssynDZo90MAAAAHIAQDiAheKiMXg+94AAAALGHEA4gIfhCsEZ4IhVloxccAAAgNhHCASSEUAxH37K3Imi7SxwXZctLc0a7CQAAAGgAIRxAQgjNGuFlQdvd4rQn3G4zlOmmFxwAACAWEcIBJARvOIajx2ll9Lw01gUHAACIVYRwAAkhHMPR47EyusUi5bAuOAAAQMwihANICB5f60J4aaVPe8s9tdvxWhk9J9Uhi4VecAAAgFhFCAcQ9/wBU2YrR6NvqjMfPF6LsuWk0gsOAAAQywjhAOJeOIaix+PyZOkum5w2a7SbAQAAgIMghAOIex4qo0uSctLoBQcAAIh1hHAAcc/byvngkrSlsM4a4XEWwu02QxkuliUDAACIdYRwAHEvJMuTFQQvT9YlJ74qo1MRHQAAID4QwgHEvdbOCa9bGT0vLb4qoxuGlEUIBwAAiAuEcABxr7UhfHNhcC94vBVlS3Pa5LDx4xwAACAe8KkNQNxr7XD0ukPR4y2EZ9MLDgAAEDcI4QDiXmt7wrfU6wmPn/ngFkv10mQAAACID4RwAHHN6w/IbGVdts1764bw1NZdMIKyUhyyWIxoNwMAAABNRAgHENda2wsuxXdl9Cw3y5IBAADEE0I4gLjm9bWuGzyeK6PbbYZSnfHRVgAAAFQjhAOIa54kroye5aYgGwAAQLwhhAOIa61enqxeZfQ4GoqewlB0AACAeEMIBxDXQl8ZPT56wl12i1x2a7SbAQAAgGYihAOIa63uCd9btyhbfITwTAqyAQAAxCVCOIC4VuULbQiPl57wDEI4AABAXCKEA4hb/oCpQCsyeGmVT3vL4q8yupOh6AAAAHGLEA4gboV6KHq8FGVjKDoAAED8IoQDiFutXZ5sS5wORSeEAwAAxC9COIC45U3C+eAOG0PRAQAA4hkhHEDc8vrNVj0+HiujZ7hjf846AAAAGkcIBxC3PEnYE57hYig6AABAPCOEA4hbrZkTXlLpjbvK6FaLoVRnbLcRAAAAB0cIBxC3WlMdfWNBcC9499w46AVnKDoAAEDcI4QDiEuBgClfK+aEbyooC9ruFgchPJ2h6AAAAHGPbhUAcam1y5NtqtMT3i03tVXXCzfDkNIZig4ASSEQCKiwsFAlJSWqqqqSaTb+pbPP55Mk7dmzJ1LNA6Ii3K91wzDkdDqVnp6u7OxsWSzh66/mEx2AuNT6EB7cEx7rw9FTnTZZLEa0mwEACLNAIKCtW7eqrGz/+5RhNP7z32pl2Uokh3C/1gOBgCoqKlRRUaGysjJ17tw5bEGcEA4gLrVmjXDTNLXpgMroFkPqnB3bITzdxY9rAEgGhYWFKisrk91uV/v27ZWamnrQEF7TO2iz8T6BxBbu17ppmiorK9POnTtVVlamoqIi5eTkhOVezAkHEJda0xO+p6RK5R5/7Xan7BTZrbH945AQDgDJoaSkRJLUvn17paWlHTSAAwgdwzCUlpam9u3bS5KKi4vDdq/Y/tQJAI1ozRrh8VYZ3Wm3yGljuCEAJIOqqipJUmpqbNcqARJVzf+9mv+L4UAIBxCXWrM8Wf3K6LH9QYdecABIHqZpyjAMesCBKKn5/3ewgoitRQgHEJeqQtgT3i0ntnvC06iKDgAAkDAI4QDijj9gKtCK4uib99atjB67PeGGIaU6COEAAACJIi5D+OLFi3XWWWcpOztbqampGjFihF5++eUmP37BggW6/fbbdeSRRyo3N1cul0v9+vXTHXfcoaKiovA1HEBItGY+uM8f0NbCitptl92ithnOUDQrLFiaDAAAILHEXQifO3eujjvuOH322We66KKLdP311ys/P1/jxo3Tww8/3KRrXHTRRfrLX/6i9PR0XXHFFfrd736nlJQU/fGPf9Tw4cO1e/fuMD8LAK3RmhC+rahCvsD+OT7dclJlieF5d8wHBwDg0L7++mtZLBbNmjUrKvfv3r27Ro8e3aprzJgxQ1arVStWrGh1ezwejz7++GP94x//0KOPPqrnn39eixYtavV1ERpxFcJ9Pp+uueYaGYah+fPna+rUqXr88ce1bNkyDRw4UBMnTtSaNWsOeZ1bb71VW7Zs0dy5c/XnP/9ZTz75pJYsWaLrr79e69at0/333x+BZwOgpVqzPFm9+eAxXhmd+eAAgGSycePG2sJYNb8cDoe6dOmiyy+/XMuXL2/wcbfffrsGDBigiy++uNFr33fffTIMQ06nUwUFBY2eN3r06HptqPtr6dKlrX2q9fzyl79Ujx49NGHChBZfo6CgQBMmTFBubq5OPfVU/e53v9Odd96pq6++WiNHjlTv3r313HPPNfu6B/67dOrUSX6/v8HzVqxYUXtev379Gr2eaZrq0aOHDMPQRRdd1KT72u122e32Jr0eYl1cfbqbM2eO1q1bp6uvvlrDhg2r3Z+enq57771Xl112mWbMmHHIHvE77rij3j7DMHTvvffqH//4h+bNmxfytgMIndaE8HiqjG63GXLZWZoMAJB8evXqpV/84heSpNLSUn355Zd65ZVX9Oabb2rOnDk65phjas/96KOPNH/+fM2YMaPRqvKBQEAzZ86UYRjyeDx68cUXdfPNNx+0DbfffrvS0tIaPFazlnQo2Ww23XLLLRo/frwWLFig4447rlmPX7x4sc4//3wVFBToqquu0sUXX6yhQ4cqPT1du3bt0qJFizR9+nRde+21ev311/Xmm28qJaV5nRE2m03bt2/XBx98oLPOOqve8WnTpslms8nn8x30Op988kltwH777be1Z88etWnTptHze/Xqpcsvv1ySVF5eftDXQzyIqxA+d+5cSdJpp51W71jNvtYEaLvdLqn6xQUgdrVujfC6RdlityecgmwAgGTVu3dvTZo0KWjfPffco4ceekh33323Pv3009r9zzzzjNxuty688MJGr/fRRx9p8+bNuv766/Wvf/1L06ZNO2QInzBhQljC9sFcdtlluvXWW/XMM880K4SvXLlSJ510krp06aK5c+eqT58+Qce7dOmiLl266MILL9Tbb7+tyy+/XBdeeKFmz57drOxzzDHHaNmyZZo+fXq9EO7xePTSSy/prLPO0ttvv33Q60ybNk1S9Rcdjz/+uF544QXddtttjZ7fu3dv3XfffZL2Z7XGXg/xIK6Go9cMNa/7opKk7Oxs5eXlNWk4emOmT58uqeGQDyB2tCaEb6o3HD12e8KZDw4AwH7jx4+XVN3jW2Pv3r16++23dcYZZyg9Pb3Rx9aEvt/97ne64IILtGLFiqDrhMODDz4owzBq232gSZMmyTAM3XrrrUH78/LyNGbMGL3++usqLS1t0n28Xq8uvPBCde/eXQsXLmwwKx3o3HPP1dtvv62PP/5Yf/nLX5r+hCS53W5deumlmj17tvLz84OOvf3228rPz9fVV1990GsUFhbqP//5j4488kjdd999SklJqf33aY6GXg/xIq4+4e3bt0+SlJmZ2eDxjIwMbd26tUXXXrp0qe6//361bdtWv//975v0mFGjRjW4f+XKlerXr99B55ogdtW8zhCbTNNUcVHZoU9sQLnHr90lVbXbmS6bnP4yVTbtPS7iqpweFVSE57tSXudIBrzOEY98Pp+sVushh/PWaGxubryqed6madb7OzjwudYc+/TTT+Xz+TRixIhG/84KCgr01ltvaejQoerXr5/GjRunF198UVOnTg2a4lrDNM3aezT136GhNv/+97/Xhx9+qClTpujkk0/W2LFjJUmff/65HnzwQQ0ePFgPPvhgvXuMHDmydoh9UzoHn332Wa1fv15ffvmlUlNT5fP5tG3bNt1666368MMP5XA4dM455+imm27S8OHD9fHHH+vEE0/U9ddfrz/96U/63e9+VzsiuDEH/rtcccUVevbZZ/Wvf/1LN910U+0506ZNU9u2bXXGGWfUe9yBZs6cqaqqKo0bN05ut1vnnnuuXn31VS1YsEBHH310o/et+1pv6PUQKjX3O1Se8/l8LRpFHVchPFw2bNigsWPHyu/369VXX1VeXl60mwSgEQdWNm+uLUVVQdtds2N3aTKH1SKbJa4GKwEAwuzYx+aq1BPasBEOaQ6bPr9jdMivO2XKFEnS8OHDa/ctXLhQkhoM0zVefPFFeTwejRs3TpJ00kknqXPnznrttdf0+OOPNzov+sknn2xwTrjL5WpSp53FYtHMmTN15JFH6tprr9U333yjlJQUXXXVVXI4HHrxxRfldNb/LHLEEUfUPremhPDnn39eZ599tg4//HBJUkVFhc444wz9+OOPuvDCC9W+fXu9//77WrBgQdDjrrvuOv31r3/VF198oRNPPPGQ96kxcuRIDRw4UM8//3xtCN+2bZs++ugj3XTTTYcMpc8//7xsNpsuvfRSSdIVV1yhV199VTNmzKgXwg+moddDvIirEF7TA97YN9vFxcWN9pI3ZtOmTRozZoz27NmjN954Q2PGjGnyY2v+09dV00Oem5vbrLYgtvDvF5uKK71yeRwteuzWDRVB273aZcmVlhWCVoVebppDuVnu8N+H1zmSAK9zxJM9e/ZIarhGUZnHr7Kq2O/5NmS0uMZSzePWrVunBx98UNL+wmyff/65XC6XHnnkkdrztm/fLknq2LFjo/ecOXOmrFarfvGLX9SeM27cOD322GP673//qyuuuCK4/T8Vd/vzn//c4PUyMzN111131dtvGPWfd48ePTR16lRddNFF+tWvfqW8vDxt3LhRf//73zVkyJAGr9+xY8fa53aov8fCwkItWbJEt912W+25L7/8slatWqUXX3yx9ouHsrIyjRw5UpJktVpls9k0aNAgZWRk6LvvvtPJJ5980PvUXLvmOV599dWaMGGCli1bpiOPPFIvvvii/H6/rrnmmqA2123/kiVLtGzZMp199tm1z/P0009Xx44d9e9//1tPP/20UlNT6z1+3bp1euihhyTtL8zW0OshVGqe56HeP1p637jqZqmZ39DQvO/CwkLl5+cfcg7EgTZu3KjRo0dr+/btmjVrVu0QEQCxqzXzwTfsCR533qtN7M4HT2M+OAAgidUsG3z//ffr6aef1qZNm3T55Zdr0aJFQVNCa4YLZ2dnN3idRYsWacWKFTr11FODiqxdeeWVkvbXhGrIjh07ZJpmvV9FRUXNei4XXnihrrnmGn388cd69dVXdd555+n6669v9PycnBxJqjfnuiFbtmyRaZrq3bt37b5PP/1UHTt2rA3gkpSamtrg3HS3293kuecH+uUvfym73V779/f8889r5MiRGjBgwEEfVzP3+5e//GXtPovFonHjxqmkpET//ve/G3zcunXrNHnyZE2ePPmgr4d4EVchvGaYxIcffljvWM2+pg6lqAng27Zt02uvvabzzjsvdA0FEDatCeHr8oPnkvfIi80QbhhURgcA1JfqtCrNaQv6leq0Nrg/mr9Sna1fXvP000+vDb0ej0dbtmzRSy+9pMGDBwed53ZXjxqrqKho6DK1IfHA0CdJ/fv31/DhwzVv3jytXbu21e09lJ/97Ge1f77hhhsOem7Nc2nK8mFlZdWfbTIyMmr35efnq0uXLvXO7dq1a9C2x+M55NJgjWnbtq3OOussvfLKK/rggw+0du3aQxZkq6ys1CuvvKKMjAyde+65QcdqvhRprEDb6aefLq/XK6/Xe9DXQ7yIq095J598snr27KmXX35ZN910k4YOHSpJKikp0eTJk2Wz2XTVVVfVnp+fn6/8/Hzl5eUFzfOuG8AvuOCCCD8TAC3V0hDuD5hBa4TbrYY6Z8fm8mQuu0VWS8PrnAIAktdXd51Sb19NQapkXWK3JkDu3bu33rHy8nK98sorkqqHnx/YM3yg6dOn6+GHHw5bG/fu3avrrrtOaWlp8nq9uvHGG/XNN98EDbuue76kJoXjmnN27typww47TFL1FJxVq1bVO7duAevZs2crEAg0ez3yGr/61a/01ltv6de//rXcbrd+/vOfH/T8N954o3YUQWNfMCxYsECrV6+ufS6JKq7+t9psNj333HM6/fTTdfzxx+vnP/+5MjIy9Oabb2rDhg168MEH1bdv39rzp0yZovvvv18TJ04MWmdw9OjR2rRpk44++mgtX75cy5cvr3evuusSAogNHn/LQvjWwnJ5/fuLunXLTY3ZoJvqjKsfzQAARE1NT+iaNWtq5zzXeP3111VcXKyhQ4fqyCOPbPDx//rXvzRz5kxNnjxZVmvre/Abcu2112rr1q16/vnnVVhYqFtvvVU333yznnvuuQbPX716tSQ1qZe3e/fuysjI0Pz582tHBI8ePVqzZs3SK6+8UhuMKyoq9Pe//732cdu2bdOdd96ps846S/3792/R8zrrrLPUvn17bdu2Tb/4xS+CeuMbUtPLffHFFzd47qZNm/Txxx9r+vTpeuyxx1rUpngRd5/0xowZowULFmjixImaNWuWPB6PBg4cqMmTJzf67VZdmzZtkiR9+eWX+vLLLxs8hxAOxKaW9oRvqDMUvVeMDkWXCOEAADRVTfBctGiRfvGLXwQdqwl9f/7znzV69OgGH79371795z//0XvvvReW+lBTp07Vm2++qUsvvVRXXnmlTNPU+++/r2nTpumMM87QRRddVO8xX331laSmTbO12Ww69dRTNXPmTP3hD3+Q3W7XlVdeqaeeekq//OUv9dZbb6ljx45677335PV6JUmPPPKIvv76a7Vr1+6gc+Kbcu+3335b27Ztq63o3pj169dr7ty56tGjh1577bXa4ncHys/PV6dOnTRz5kw99NBDCT26Iy6f2YgRI/Tee+8d8rxJkyY1GKZr1v4DEF88voBa+t933Z4688Hb1F9yJBYYRvXSLgAA4NCGDBminj176uOPPw7av3btWs2fP189e/Y8aJi9+uqr9Z///EfTpk2rF8Iff/zxBpcok6Tzzz+/dmpsY1avXq1bbrlFXbt21TPPPCOpuur2888/ryFDhui6667TyJEjg+Zvm6apTz75RP379w8a4Xswv//97zVy5Eg9/vjjuvPOO5WSkqJPPvlE48eP1+zZs+VwOHTuuefq9ttv1zHHHKPdu3frtttu080339zo82uqo446SkcdddQhz5s+fbpM09RVV13VYACXpLy8PI0dO1Zvvvmm3n333YSu2cUnPQBxo8rX8mVZNuQHV/7sGaM94S67VZYYHSYPAECsMQxD1157re6880598803tT2yNb3gV199daOhT5LOPPNMtWvXTu+884527dqldu3a1R574oknGn1c9+7dDxrCPR6PLr/8clVWVuqFF15QVlZW7bH27dtr+vTpOuecc/SLX/xCn376qSyW6nrZ8+fP1+bNm/XUU0814dlXGzFihH7729/qnnvuUbdu3XT55Zerc+fO+s9//lPv3JZUQm+tQCCgmTNnymKxBNXvasjVV1+tN998U9OmTUvoEG6YdAuHXE2Z/MbWEUdsq1nqgnVlY09+aZV2FFU2+3GmaWrctK9UUlldvMaQ9Np1o+R2hGfuV2vkpTvUITP864PzOkcy4HWOeFRTUKtfv35NOj/ZC7NJ1cOYe/Xqpcsvv1z/+Mc/otKG7t27q3v37po7d26rrnPFFVfonXfe0fr164OC+6F4vV6dd955eu+993TDDTdo4sSJDRZ2++GHH/TAAw/oV7/6lU499dRWtTXSIvlab+r/w5bmvuT93wog7rR0PnhBmac2gEtSxyx3TAZwifngAAA0V15enu644w7df//9uuuuuxpcniserF27Vi+//LL+9Kc/NSuAS5Ldbtfs2bN1zz336Mknn9TUqVN13HHHaeDAgUpPT1d+fr4WLVqkpUuXasCAAY2uq47I4NMegLhR1cIQvn5P8NCrWF0fXGJ9cAAAWuLWW2+Vz+fT5s2b4zaEb926VRMnTjzkOuKNsVqteuSRR3Tttddq2rRp+uCDD/TSSy+ptLRUbdq00dFHH6277rpLF154Ye3wd0QHn/YAxI2WzglfX6cyeqzOB3c7WB8cAICWcLvduu+++6LdjFYZPXp0o1Xcm6Nnz5566KGH9NBDD7W+UQgLQjiAuBAImPL6WlbCYn2dyug9Y7Qyegq94AAAxKVbbrml2UPIkbz4xAcgLnj8LRuKLtVfIzxWe8IZig4AQHy65ZZbot0ExBEmAwCIC1XeloXwsiqfdhbvr6ielWJXdqojVM0KqVRnbBaLAwAAQOgQwgHEhZbOB6/fCx6bQ9EdNotsVn4kAwAAJDo+8QGICy2ujJ4fXBk9Voeip8TokmkAAAAILUI4gLjQ0hC+ZledEN4mNkM464MDAAAkB0I4gLjQ0uHoa3YHh/C+7dJD0ZyQoyccAAAgORDCAcQ8jy+gQAs6wksrfdpWVFG7nem2q226M4QtCw2rxZDLTggHAABIBoRwADGv5b3gJUHbfdqmyTCMUDQppKiKDgAAkDwI4QBiXmULlyeLn6HozAcHAABIFoRwADGvpT3hP+6q3xMei+gJBwAALTV69OiojfSL5r2ba+PGjTIMQ1dddVW0myK6XwDEvFD1hPeJwZ5ww5DczAcHADTDiq37av/s9/skSVZrbHysH9w5s9XXCAQC+vvf/67p06dr1apVstlsGjZsmG6//Xade+659c6fNGmS7r///gav5XQ6VVlZGbSvsrJSd999t2bNmqXy8nKNHj1af/3rX9WxY8d6j7/iiis0d+5cff/990pLa/qX+VdddZVmzpxZu221WpWenq4OHTpo2LBhuuCCC3TuuefK4XA0+ZrN8fzzz+vqq6/WjBkzYiJ0Ilhs/G8FgINoSU94QWmV9pZ5arfbZTiV6baHslkh4bJb4+YbZAAAws00TV1yySV644031KtXL/36179WVVWV3nrrLZ133nn661//qhtvvLHBx1555ZXq3r170D6brX7cmTBhgv72t7/pkksuUZs2bTRjxgydc845Wrx4sSyW/QOFP/nkE73wwguaPXt2swL4gX7961+rc+fOMk1TxcXF+vHHHzV79my9/PLL6t+/v1599VUNGTKkRddG/CKEA4hpLa2M/mPdXvC2sdcLLjEUHQCAA73xxht64403dOyxx+qjjz6S2+2WJD388MMaPny4JkyYoLFjx9YL21J17/Po0aMPev1AIKDp06fr17/+tZ577jlJ0siRI3XFFVdo0aJFOvrooyVJFRUV+s1vfqNLL71UY8eObfHzueaaa2qvWaOkpET33XefnnrqKZ122mn65ptvGuyFR+JiTjiAmNbiyuh15oP3bReb88EpygYAwH7//e9/JUl33XVXbQCXpLy8PN16662qqqrSjBkzWnz9/Px8VVRUaPjw4bX7av68efPm2n3333+/9u7dq7/85S8tvldj0tPT9ec//1lXX321du3apQcffLDeObt379att96q3r17y+l0Ki8vTxdeeKFWrlx5yOtfddVVuvrqqyVJV199tQzDqP1VY8mSJbrxxhs1aNAgZWZmyu12a/DgwXr00Ufl9Xqb/ZwqKyv1+9//Xl26dJHL5dLgwYM1ffr0euft27dPjz32mE488UR17NhRDodDHTt21BVXXKF169bVO3/SpEkyDENz587Vv//9bx111FFyu93q0KGDbrrpJlVUVNR7jN/v12OPPabevXvL5XKpd+/eeuSRRxRoSa9OmPDpD0BMa+l88PpF2WKzJzzFQU84AAA1du3aJUnq0aNHvWM1++bMmdPgHPDPPvtMixYtktVqVb9+/XTKKafI6XQGnZOXlyeXy6WlS5fW7vv2228lSV27dpUkLV++XE888YT++c9/ql27diF5Xg259957NWPGDM2aNUt/+9vfakPyunXrNHr0aG3btk2nnXaazj//fO3evVtvvPGGPvjgA33yyScaOXJko9c9//zzVVRUVDuEf+jQofXOmTp1qmbPnq0TTjhBZ511lsrLyzV37lzdeeedWrx4sd54441mPZeLL75Yy5cv18UXXyyv16tZs2bp17/+tXbt2qU777yz9rwffvhB9913n8aMGaMLLrhAqampWrVqlV5++WW9++67+uabb9StW7d61//b3/6m9957T+ecc47GjBmj999/X3/9619VUFCgl156Kejc6667TtOnT1ePHj10ww03qLKyUk8++aS++OKLZj2ncCKEA4hpld7m94QHTFNrDxiObjGkXm1iryfcbjNktzIgCQCAGm3atJEkbdiwQf379w86tmHDBknSjz/+2OBj77vvvqDtDh06aObMmTr11FNr91ksFv3qV7/SM888o5KSEuXk5GjmzJkaOnSojjrqKAUCAV133XU6/vjj9atf/SqUT62eHj16qEuXLtqyZYs2bNignj17SqouBrdz50598MEHQW2/5557NHz4cF177bVavnx5o9c9MISff/75DRZmu/POO/W3v/1NVuv+zgDTNHXNNddo+vTp+vzzz3Xsscc2+bmsX79eK1euVHp6dafH3XffrSOOOEL33XefLr300trn1r9/f+3YsUM5OTlBj//00091yimn6MEHH9TUqVPrXf+jjz7SV199pcMOO0w2m00PPfSQhg4dqldeeUV/+tOfaofzz507V9OnT9fhhx+uzz//XKmpqZKqR1Y09GVEtPDpD0BMa0kI315UoTLP/sd1zUmROwZ7nFMZig4AQJAzzzxTkvToo48GVTUvKCjQU089JUkqKioKeszQoUM1c+ZMbdy4URUVFVqzZo0mT56soqIinXvuuVq2bFnQ+Y8//rhuuukmzZs3Ty+99JJOPvlkzZ49W1arVVOmTNGyZcv0z3/+U3v27NFFF12klJQUpaen65prrmlw+HNr1ITH/Px8SdW98l988YWuvPLKoAAuSX379tW1116rFStWNGlY+sF069YtKIBLkmEYuuGGGyRJH3/8cbOud/fdd9cGcElq3769brvtNvl8Pr388su1+zMzM+sFcEkaM2aMBg4c2Oh9b775Zh122GG12263Wz//+c9lmqaWLFlSu/9f//qXpOovZGoCuCR16tRJN998c7OeUzjxCRBAzDJNU1W+5g9Hr7c0WYwORY/FLwYAAIimn//855oxY4Y+/fRTDR48WGeccYa8Xq/++9//1g4Nrxsezz///KDt3r1765577lG7du103XXX6cEHH9S///3v2uNut1t//vOf9ec//znocVu3btU999yje++9V3369NFZZ52l5cuX66WXXlJpaanGjx8vl8ulKVOmhOz5mqYZtP3ll19Kknbu3KlJkybVO3/VqlW1vw8aNKjF9/V4PJoyZYpeffVVrVq1SqWlpUFt2b59e7Oud/zxxze678Ch/1J1b/VTTz2lr776Svn5+fL5fLXHGluy7Ygjjqi3r3PnzpKCv5Sp+cLlYO2JBYRwADGryhdQnfemJqk3Hzxmi7IRwgEAOJDNZtN7772nRx99VC+//LKeffZZZWZm6oILLtCECRPUt2/f2iHrh3LllVfqd7/7nT7//PMmnX/DDTeoe/fu+r//+z+tXr1a7733nl544QVdcMEFkqSNGzdq8uTJeuyxx4J6WVtjx44dkvYPw9+7d68k6d1339W7777b6OPKyspadd+LLrpIs2fPVt++fXXppZeqbdu2stvtKioq0l/+8hdVVVU163pt27att6/mS5N9+/ava//vf/9bl156qdLS0nT66aere/fuSklJkWEYev7557Vp06YGr5+ZWX/9+Zrl5/z+/aMf9+3bJ4vFory8vEbbEwsI4QBiVkuGokvS6p2xX5TNMCS3nRAOAEBdTqdTEydO1MSJE4P2z507V5KCKpsfjMPhUHp6usrLyw957uuvv6533nlHX3zxhex2e22P84E9sEceeaS8Xq/WrVsXkrW9169fry1btigvL692ybWMjAxJOuh66K21ePFizZ49W6effrrefffdoJEFX375ZYsqwu/evVtdunQJ2ldTZO/AAD1p0iS5XC4tWbJEffr0CTr/1VdfbfZ968rMzFQgEFB+fn69L2tq2hMLmBMOIGZVtCCEV3r9Wrdn/3B0p82i7rkpoWxWSLjs1qClQgAAwMHVVMG+7LLLmnT+mjVrVFhY2OCa4gfat2+fbrrpJt144431qo4f2CNcM0c9VO/fkydPllT9fGquWXP/hQsXturaNcH6wF7iGjVLgZ199tn1hvZ/9tlnLbpfQ4+r2XdgQbR169apf//+9QL49u3bG1yirLkOP/zwQ7YnFhDCAcSslixP9uOuEgUOGMJ+WPt02WKwAnmqk15wAAAaUlxcXG/f66+/runTp+uoo47Sz372s9r9JSUlDVYKLyws1K9//WtJ1fPMD+aOO+6orbhdo6Yy++zZs2v3zZ49Ww6Ho7bSd0uVlJTotttu0/PPP68OHTrorrvuqj02YsQIjRw5Uq+88opee+21eo8NBAKaN2/eIe9RU/xs69at9Y7VLAG2YMGCoP3fffedHnnkkWY9lxoPPfSQSkr2j0TctWuXnnzySdlsNl1++eVB9167dm1Qr3RlZaWuv/76oLnhLXXFFVdIkh544IGgIfvbtm0Ly5rvLcVwdAAxq8LT/J7wH3YEv3H375ARquaEVIqdH78AADRk5MiR6tKli/r37y+Xy6VFixZp7ty56tmzp/79738H9d4WFBTo8MMP1/DhwzV48GC1bdtW27Zt03vvvaeCggKdeuqpuvXWWxu91+eff65nn31Wb7/9ttLS9teQ6du3r84++2w98MAD2rRpk0pLSzVr1izdfPPNzZoP/txzz+n999+XaZoqKSnRjz/+qPnz56ukpEQDBw7Uq6++qg4dOgQ95pVXXtGYMWN02WWX6amnntKRRx4pl8ulzZs3a+HChdqzZ09Q5fiGjBo1Sm63W0899ZSKi4trh2b/4Q9/0IgRIzRixAjNmjVLO3bs0NFHH63Nmzfr7bff1tlnn63XX3+9yc+vRs+ePTVo0CBdeOGFteuE7969Ww899FDQlxbjx4/X+PHjNWzYMF100UXy+Xz66KOPZJqmDj/88HqV7Jtr9OjRuvrqqzVjxgwNHjxYF1xwgaqqqvTaa6/p6KOP1jvvvNOq64cKnwIBxCSvPyB/oPlV2b7fETwffED72AzhVEYHAKBhl156qd588019+eWX8nq96tGjh+655x793//9X+2c6Ro5OTm64YYb9OWXX2r27NkqKipSamqqBg8erF/84he65ppr6g25ruH1enXdddfp4osv1tixY+sdf/7553XDDTfotddek91u129+8xs9+uijzXou06ZNk1Q9PDw9PV0dO3bUueeeq/PPP1/nnXee7HZ7vcf06NFD3377rZ588kn997//1fTp02W1WtWhQwedcMIJuuiiiw5535ycHL3++uuaNGmS/vGPf9QurfaHP/xBVqtV77zzjv7whz/o/fff1+LFi9WnTx89/vjjOvPMM1sUwmfNmqX77rtPr7zyivbs2aM+ffro4Ycfrh2NUOOGG26Q3W7XX//6V02dOlVZWVk6++yz9fDDD+uSSy5p9n0bMnXqVPXt21dTp07VlClT1LlzZ91222265JJLYiaEG2bduvhotVGjRklq/VwOREdBQYEkKTc3N8otSW77KrzaXHDoQioH8gdMjXvuy9o1wg1Jr1x7tFKdsfV9o81qRL2Hntc5kgGvc8SjmoJg/fr1a9L5NUN4aypFA4kqkq/1pv4/bGnui72JkgCgllVG37y3vDaAS1K33JSYC+ASVdEBAACSGSEcQExqyXzw77fvC9qOdm9zY1gfHAAAIHkRwgHEpPIWhPAV24JD+OBOmY2cGV3MBwcAAEhehHAAMcfja35RNtM064XwQR1jM4SnOGJviDwAAAAigxAOIOZUtHA+eHHl/vUlO2W5lZ3qCGWzQsJpt8hqMaLdDAAAAEQJIRxAzGnJfPCV8TIUnaJsAAAASY0QDiDmlHt8hz6pDuaDAwAAIB4QwgHEFNM0m12ULdDQfPAYDeFURgcAAEhuhHAAMaXSG5DZvJps2pBfVm8+eE4Mzgc3DIajAwAAJDtCOICY0pKh6Eu3FAVtD+uaFZrGhJjLbpFhUJQNAAAgmRHCAcSUlqwP/u3mwqDtYV2yQtSa0HKzNBkAAEDSI4QDiCllzewJr/T69f2O4tptq8WI3fngDEUHAABIeoRwADHD6w/I62vehPDvtxfL69//mH7t05USoz3OVEYHAAAAIRxAzCivav5Q9G/iZCi6YUguesIBADikjRs3yjAMGYahsWPHNnjO3LlzZRiGfvvb39Y7Vl5err/85S8aM2aM2rRpI7vdrpycHB133HF69NFHtWfPnnA/BeCgCOEAYkZpC4qyLd64N2h7WNfsUDUnpOgFBwCg+d59913Nnz+/yecvW7ZMAwYM0C233KINGzbo3HPP1f/93//p8ssvV2Vlpe6880717t1bZWVlYWw1cHCxOWYTQFIqrWxeCN9WWKHt+yprt7NS7OrdNi3UzQoJ1gcHAKB5unfvrs2bN+uOO+7QwoULD3n+1q1bddpppyk/P19PPPGEbr75Zlmtwe+/3377rW688UZ5vd5wNRs4JHrCAcQEjy8gjy/QrMcs2lgQtH1UtxxZYnQJMNYHBwCgeQ477DD98pe/1Jdffqk333zzkOfffffd2r17t+666y7ddttt9QK4JA0bNkzz5s1TRkZGOJoMNAkhHEBMKKtqyVD04PngR3WPzaHoEsPRAQAxJhCQijZLe9dL3spDnx8lDzzwgJxOp+666y75/Y3XjikvL9err74qt9utCRMmHPSaNptNFgsxCNHDqw9ATChtZggvrfTpu+37ardtFkNDu8RmCLdYJKeNEA4AiBGbFkrz/yR99U9p8TRp3qPS929L/uZ/IR5uXbt21Q033KDVq1dr2rRpjZ63ePFieTweHXnkkcrMjM2lSoEahHAAMaG564Mv2ligwAGrmQ3pnBmzvc2xumQaACAJrZ8nrXpHqirev8/vlbZ8JS19KXrtOoi7775bmZmZuv/++1VeXt7gOTt37pQkde7cOZJNA1qEEA4g6iq9/mavD75gbX7Q9tE9c0PZpJBiPjgAICZ4K6X1cxs/nv+jVLAuYs1pqpycHN1xxx3avn27nnrqqWg3B2g1QjiAqCuubF6F0rIqn77dXFS7bTGkUbEcwmO0hx4AkGT2rJL8noOfs3N5ZNrSTLfccos6duyoP/7xjyooKKh3vH379pKkbdu2RbppQLMRwgFEXUkzlyb7asNe+Q4Yiz6oY6ayUhyhblbI0BMOAIgJvqrQnBMFbrdbkyZN0r59+/Twww/XO37UUUfJ4XDo66+/VnFxcQNXAGIHIRxAVPkDpio8jVc7bcjndYaiH9s7L5RNCimrxZDDxo9aAEAMSG936HPSmnBOlPzqV79Sv3799Le//U2bN28OOpaSkqLLLrtMFRUVeuKJJw56HZ/Pp0CgecuiAqHEJ0MAUVVS6ZXZjOng+yq8+mbz/qXJDEmjejEUHQCAQ8ruLqW3b/y4xSp1OjJizWkuq9Wqhx9+WFVVVXrggQfqHX/ooYfUpk0bPfTQQ3r66acbDNrLly/X6NGj6S1HVFGyF0BUNXco+vwf9wQNRT+8S5ayY3goegohHAAQS4ZcKn09XaoqCd5vsUqDLpJcGdFpVxNdcMEFGjVqlBYuXFjvWOfOnfXhhx/q/PPP180336w///nPOvnkk9WuXTsVFxdr0aJFWrx4sTIyMmS326PQeqAaIRxA1AQCpvZVNK8o25zVu4O2T+7XNpRNCjkX88EBALEkra006kZp6+LqQm0Bn5TVTeoysmnD1WPAY489phNOOKHBY0OHDtX333+vqVOn6j//+Y/eeustFRUVKS0tTf3799fkyZP129/+VqmpqRFuNbAfIRxA1JRU+po1FH3z3nKt3V1au+22W2N6aTKJnnAAQAxypkm9xlT/ikHdu3eXeZAPCMcff/xBj6ekpOjmm2/WzTffHI7mAa3GnHAAUdPcXvAPvtsZtH1c77yY7mm2WQ3ZrfyYBQAAwH58OgQQFYGA2az1wSu9fn3yw66gfSf3j+2h6CxNBgAAgLoI4QCioriZVdHn/bhHZQcsZdYtJ0UDOsR28RiGogMAAKAuQjiAqCgo8zT5XNM09b8VO4L2nT2kgwzDCHWzQspFCAcAAEAdhHAAEVfl86u8yn/oE3+ybOs+rc8vq9122606sW+bcDQtpBiODgAAgLoI4QAirrCseQXZ/r1kS9D2Kf3bKsUR24s7UJQNAAAADeETIoCIMk1Te5sxFH31zhIt37qvdttqMXT+sE7haFpIMR8cAAAADSGEA4iownKv/IGmV2R7ZfHmoO3Rfduobbor1M0KOYaiAwAAoCGxPZ4TiaOqRPJWSK4syeaIdmuSV8Av+aokm0uytPI7uIBf2rNaqiiUnOlS2wGS9dA/UvJLq5p8i+Vbi7RkU2HttiHpwiM7t6S1EUdRNgAAADSEEI7wKtoirflQ2ru+etvmlDoMlfqcJtljvzczYZTvldZ/Ku1cIfm9kiNV6nSk1HN09b9Jc+1eJX3/3+ovV2rYU6T+Y6UOhzf6sH0VXlV5A7Xbhq9CKbu/lbNojQwzIE9GN5W1PVIBZ6YCpqkZX2wMevyJh7VRl+yU5rc3ClLoCQcAAEADCOEIn8JN0tfTpYBv/z5flbTlK2nfVmnEtZLVHr32HcjvlXYsq25XlU3K6S7l5ka7VaFRvlda9GxwYPaUSRvmV385MvxXzQviRVukZS9X94SXF0glOyVfhWR1SIUbpOMnVPeMVxVXj3zI6FD70N3FlbV/tpXvUs6ql2Xx7q96bi/dppSdi1TY9xL9b3uq1u4u3X++xdAvRnZr0V9BpNlthmwUZQMAAEADCOEInx/fDw7gByreJm37Ruo6MrJtakjhJmnpS9XBVJICadKuFVL+YmnouPgfPr/mw+AAfqB9W6u/FOlxQtOvt3FBdQDP/1Eq3b1/v7dSKt0jvfFrqdsxkmFIFruU2Vnqf46K7G1VWdMLbprKWvNGUACvYQR8Mr5/SzO+GxW0f+yQDmqXER+jJ5gPDvl90u7vpcoiyZkhtRsYO186AgCAqCKEIzzKCqSizQc/Z8fS6IdwT5n07QvV89XrKlgr/fC2NPiiyLerNcoKJF+llPJTT/7u7w9+/rZvmhfC9/wgle0ODuCS5PdU7/NXSVWlkjtLcqRIpbtkluUrv+cvJHuOJMlRvEG2yr2N3uLPG7uouHL/FzhZKXZdOrxr09sYZW7mgye3Xd9J3/1X8pbv37fqHanf2VLHYVFrFgAAiA2EcIRHAz2c9XhKD31OuG39uuEAXmPHMqnPqZIrM3Jtaqn8tdLaj6p7t6XqXrfsnpK36uAF0xrrJW+IaUpmoHoIel3lBftDh7e8OoR7yqX8NaoqL5XDtkAVvc6VJNnLGnj8T94raKv3CtoH7bvu+J5Kc8XPjyt6wpNY4SZp2avV/08O5K2QVr4hOdKlvN7RaRsAAIgJTFpEeLizJeMQL6+UvMi05WAKNx78uBmo/lAdLsU7qr8I2P5tdWA90L5t1V8C5K+VAg18oN/4efWH+lXvShs+k76ZuT+AS9Xz3Pd8X90THvA33gZ3VtPbaxhSVrf6bQ0E9od5wyLJrL1nwJQC+7YpZdfXtaeb1oaH+G+qdOvRjX2D9g3vlq3jesfAa6UZCOFJbMP8+gG8hmlKG+ZFtj0AEOeuuOIKGYah9u3by+dreJpj9+7dZRjGQX8VFRVFtuHAQcRP1xLiS82SVbtWNn5O56Mi157GGEYTzgnDd1WV+6Tls4K/BLDapa7HSO2HSN//JzhQuzKlvmdIHYZIm7+UFk+vHvbtyqz+u97+rWR3S3l997fXV/nTPPdA9VztjJ96l01/9Xb53upj6R2kymLJldG0tnc7VlrxevV8fzNQ/bu3ojpg1DwPGZJhyJTk8VcHEnvZjurzDYsqsw9TxqYPg8JKkc+m234crPLA/h9LWW67bjqpj4ym/DvFCIqyJTHTrK6VcDB711d/Qcb8cAA4pOLiYr3xxhsyDEO7du3Su+++q/POO6/Bc61Wq+65555Gr+VyxUddGSQHQjjCp99Z1QXYKgrrH+t0pNRuQOTbVFde3+q1rhtjsUk5PUN7T7+3ump8WX79/Ws/klb8W0prG3yscp+0/FXph3ektR9XB+kaNmd1z7SnTLI6pcxO1b3nlYXVoSDw0/Bxy7Dq0L5zZXVAl6q3i7dJnz9VXYQut9eh299ugNTjxOr2eCskmZLPI5m+6vtb7dVtMizyBkwFfsrmAaur9guCgCNd5bmDlLZzkQJWp8oDNk1YM1ibq4KXH7v1lL7KTo2vwngpdn6sJi3TlGQe+ryAnxAOAE3wyiuvqLy8XBMmTNATTzyhadOmNRrCbTabJk2aFNkGAi1Edw3Cx5UpHX291Ouk6iJhjlQpu7s05BJp4AXRbl21jsMOPt+7y4jq4mJS9Qfn4u3VgdZswgftxuxcXj+A1yjeLu1d13BV+fw11YXizDpDy6tKqudjm6ZUsqN6CHvF3v1ttFiq//495dU95r5Kyeaq/rdoN7A6GPuqpKUvV1c4PxRfVXXF+JQ8yZFWvT64M02yuav/jgJ+yZUhX8CUz7//76mizRBJkrPwR+WunKaUPctkrciXf/dq3fzDYVpWGvzvMG5kVx3RNevgQ+ljkMvBj9WkZbFUT9c4mIyOkp3eGABoimnTpsnhcOjOO+/Uscceq//973/asWNHtJsFtBpdNggvR6rU++TqX7HI5qxeJ3vpS3WqfRtS5+FS3zOrw+z6T6XNX+0vJufOkrqf0LLq7rt/aPxYeX516KwoklIPmAft+2n5r8qi6tAro7qXXmZ1KPdVVZ9jBqr3113325leHcTLC6TOR0uWBoZ3+yqrQ3q3UfWPHWjbN9WjGzodUT20tmJvdW+73ycZVslql9+wy+vxyuKvlGTKm9JeRb0vkit/ubLWza5ut2Foo6O3JmwapLUVaUG3OKVXmn6T8ZVSvpz2UxE3U5707irtdJzK2x6hgCOtoZbFhBQHP1aTWrdjD15rotsxEWsKADRmc/FmfbTpI63MXymf6VOPjB46qetJGtp2aLSbVmvFihVavHixLrjgAuXk5OiKK67QggULNHPmTP3hD3+IdvOAVuHTIpCaJx1zU3Wg3LdVqpCU3U3q2L36+Mo3pW1Lgh9TUVTdK+0tq+7pb47G1k6XqsNszZDWgL867Jp+yVMhVe2r7vX2e6qP+T2SjOpetZrlwWyuhgutpbWv/gLBVyl5S6rXLW5I8bZDt3/n8urfbU6pbf/qe/sqJU9vqWC9/N5yeaoqZPWUyDSsCthT5HflKHvNLNkq8qWAV4bfo4+KO+vRTf21zx88LPfYLk49kP2enLsK5S5cVTtv3F66XY7iDUrZtViFh/1c3rSOh25rFFCULcm1GyD1PV1a82HwiBnDkHqMZokyAFH3xbYvNP276QocUJdlZcFKrSxYqdGdR+uKgVdEsXX7TZs2TZL0y1/+UpJ0ySWX6KabbtL06dMbDOE+n6/R4ejt27fXb3/727C1FWiuuAzhixcv1sSJE7Vw4UJ5PB4NHDhQt9xyiy6//PImXyMQCOjvf/+7nn32Wa1Zs0ZpaWkaM2aMHnroIfXp0yeMrUdMMozq+dC5vaSCgv37S3bVD+AHWj9P6jKyuse/qbK6Vg8tr6t8b3VPd0WRVFVcHT7tKdVht3RPdQi32KoDuK/qpweZ1fOy7T8NBfeW7V8fvEZm5+pgXjMPvG6l9QM1ZZ6qr86Qdauj+pczQ1WWFPm3L5NheOVz58nvyJA3tYP8rmy58lfKnb9c69VVjxeP0ZzKvvUuPbq9Rw92/kZ2r0euoh/rVZm2l+2Qz91G2Wv+rd1Dx4enaF4rOGwWWRsaZYDk0uMEqf3g6p8dlfskZ2b1yJGUnGi3DECS21W2q14AP9DcrXPVK6uXju10bIRbFszj8ejFF19Udna2zj77bElSZmamzjvvPL322muaP3++TjjhhKDH+P1+3X///Q1e7/DDDyeEI6bEXQifO3euTj/9dDkcDl122WXKzPz/9u48Oqr6/v/4885MMtl3IGENILsiKCJQEAGF+m1F6lK1FERFpT+/eOrXnp/L1wooelxOPf6s56gFWQ4UXI6U30+rVakiBQFbFb5QRBBJ2AxLIGQjk8zM/f3xyWQhk4UsM5Pk9TgnR3PvnTvvmdyQed3Plsy6deuYOXMmOTk5PPbYY006z7x581iyZAlDhw5l/vz5HD9+nLfeeouPP/6YL774gqFDI2DSMAm/H3c2vN/vNROdXUi39B6jzDJGvorqbWePwpmD1V3MA93eK86ZAO3zmJBtOeuOCbdtU0d8F/N42wdWtLkxkNyr+oN/XBqc9JnW7pPfmse5E80Y1UBw73Zx4/UndKvuum/bcC4fuyQfT4UXjxWLC4vSzCtrL0PmLWfv8WL+XPgLPqwYiY+6rcVzsnKZ2+8M7vJCXOfyserpMeAqPYE/Ko6Y099Rlj6k8XpDKC5areBSKTYVLrom3FWIiNTy2eHP6g3gARsObQh7CF+/fj35+fnMmzeP6OjqzxOzZ8/mrbfeYtmyZXVCuNvtpqysCXPbiESAdhXCvV4vc+fOxbIsNm3axMiRplvfggULGDt2LAsWLOCWW25ptCX7s88+Y8mSJUyYMIFPPvkEt9uMn509ezbXXnstv/nNb/j8c63l2qGc+h6OfGkmRIuKNV1Cs0aAs5FfgYqSxs9dUdr4MTXFJMGlv4Kdayu7cnugIMfsi0014bysoPJgu3IpMUxXc8thJl+27dqtxLYNXQaZVu7j/zat554iE+x95ZCYaSZmc7hqz1ZfdtZ8pfYxrXdNmQm+5xWQt8vUeXw3Xk8xFT4b24ZobxkOnwfLW0YJsXxdlMyXhal8cTqJ3IqpQU+X4ijl912/4KqeLrzOLgA4vHXfU8tbhrOiBGfZaaLOHQcb8t13RVS39Bh1RRcRkQj23ZkGVoSplFuYi8fnwe10N3psW1m2bBlQ3RU9YNq0aWRmZvLOO+/w8ssvk5TUxOVVRSJMuwrhn376KQcOHODOO++sCuAAiYmJ/P73v+e2225j+fLlPPPMMw2eZ8mSJQAsXry4KoADTJkyhWnTpvG3v/2Nffv2MXBg3e6yEgEKDpmWY2eUCZ7uxIaP3/sB5G6pve1MDhz5J1x+Z8MzFcd3rX9fwPnLiTVFl4Ew4SE49rUZOxrfpbo1urykctmxEvBXmLDtdJuZyEtOQHm5mbHd76tad5vUvtWzo8ckme71dmVX9fzvzRJi3lIz23vhMSg6Vj3ruGWZ4wZe1/C66UV5cPhLKDmJ329z7tA3HC+L5qS/G/m+ePL98fzoTeT7igwOnOlCjjcNXyMLMPxH7B4eSdlAhuscJfZoSrpeRnLuR6bFvwZHeTHOikIAbFc82DZRJUdJ37OCMwNuxpMaGb+ragkXEZGOwG7JKjAtdPjwYT755BMAfvKT+lvk33zzTe69995QlSXSqtpVCN+4cSMAU6fWbVELbGtKC/bGjRuJj48P+osdCOGff/55hwzhG/YcZ+XWnFrbgv07awdZ6zbocU14bPBjgmjsXD4vlJ7E9pbXOOJ7cCdix6YGqa0yhJacBS6uPN95IXPzhjqP9Xq92Ni4XFEmqBYND/oibCxwOGHfGbA2N/BaG3ovLTh3JVRcYo7y+8A7usZjA//jr2oFt/2+6rBsWWZ7aWU3dNsGh8t0BQ8EeCz40cJ2RMFBR3UBts+c33KaY17dAdHf137OijLwV+D3VuDx+imzXZzzZeDxd8VH87uqjY/ex/1JW7g05njVCy3OGovtdOM+exDnuXycZafxu+KwHa6qAA7gjzJLxvli0sH2k3zwr5xI7m9+FmGmSdlERCSSDUodRG5hboPH9EnqQ4wrfEspLl++HL/fz/jx4xk0aFCd/eXl5axatYo33nhDIVzarXYVwvfvN5NZBetunpqaSkZGRtUx9SkpKeHHH3/k4osvxums+4E5cO7GzgMwdmzwpZx2797N4MGDya85wVeE2H/sFP/YX88a1e1CTOXX+c4E2RbQWFelgkb2N7Ic1tmzjTy+MY7znqOBdcvbUilAcZAdzsqvlkl1lHBt7D6uTz7IAOdxLJ+Hs440vHEZVMRlUV54iqi8PeTH9iPaG4XTjsPye7CxsGLNxHe2KwafKwFvTCpeV2UPhArw5f2biqTeLa6xuSwL0hPcnDnTwMz3EeZsi69bkcin61zaI6/Xi9PpxOtt2t8Un8/X+EGVJnSfwCe5nzQ4LvzqHlc3+blbm23bLF++HMuyWLZsGX379g163K5du/jyyy/ZsWMHF19cPZ9NuOqW0LiQa72lbNvG5/M1mue8Xi8u14VH6nYVwgN/TJOTg4eUpKQkjhw50uJz1DxORJon3ipnaEw+V8YcZrRjL4Mcx3BERUFMCjgTgUQcgCMxg6iENOK9+RDjNPtjorFKTmAV55kx685ocCdAVDyO2DRcCZnU7NQQ5y7HnxIbnhcKuJwWLkdkzdQuIiJyvm5x3bhjyB2s3LMSP3WD+IQeE/hJ9/BNyvbpp5+Sk5PD1VdfXW8AB7jjjjvYsWMHy5cv5w9/+ANgwtCTTz5Z72Nmz55NdnZ2a5cs0iztKoRHmq1btwbdHmghT09PD7o/nBLii8JdgrRjTvzEWhXEuCDWX0qao5gujhLSk2LJiHOSEV1Ov9gyBpTvISvag4XfjEm3bbO0mccDnsNmHL2j8p8frxOccUCNYQYuIK4LZGTA6QNQmg8Z3SvHuzuA8ybM65oBmc0Ymy8R+e+USGvTdS7tycmTJwEuuHWtqcdf1fsqeif3ZsOhDew6uQuf7SM7KZtJvSdxebfLL7je1rRixQoA7r777gZfz6xZs3j44YdZs2YNL7zwAmBaSZ966ql6HzN58mQuuuiiVq1XwqM5Lc8XyrIsXC5Xo38/mltLuwrhgdbr+lqpCwsL623hvpBz1Dyuo7n+0u6M7R/sYqo7IVewObqCTdtlBTmwvum9gp+zCc+96x04U3cMU63jBv8cug6uXU/uFsjZErxugOQeMHJmrVrOnDFd21NTUxuoub4Tnr/Jgh93wL6PqmYzrzqs6xAYMt38/4FPsfZ/BGePVM62bkNcBlb3kWZm88RMyBoJMYlY+Qdg9zvVE6uBWc7r2DeQkAkpvSqfp8ZY9OgE6DcZvnuvzsB1y8Ismzb4OrNhx1tY+fuqD/hxJ1SUEmN5ibL8Zqw5lpk53lPZfT22m1mPPK2/WS7txElIuxRsr5ksDsySaRWl5nHeMrPUWUJXiEk1M7gHfU8tSOxuZrWPTQl+TFQsdNWSgiIiIk2VnZzN3EvmhruMOtauXcvatWsbPS49PR2Px1P1fU5OThtWJdL62lUIrzle+/LLa9+pO3PmDKdOnWLcuHENniM+Pp6srCwOHjyIz+erMy68oXHnHUFKXDQpcdGNHxhpevaGsn3177cc0LsfxMbV3h43Ds7uqL0sV4DDCZdMguTa3ZijvOb9SU9uhUlJCg5BznsQFWTGtoL/gePpZg3wE19AciIkDzET0FmVk74lxsKVv4JAV2e/Hw6+B05P3WHaXXvBqe8gOdnMnl71Ol0w8kbIuAhSUuCHz8zs8ADxGdB7XO11zmOc4Kox5iYxCQoKzP/bfhOIY1LAXXmjyltulnorygNHFGReYkKxBbXuTFiWCeLR8WZG+6xLq88ZmM09mOi4+pdOsywY/DMzU76IiIiISDvQrgYxTpw4EYCPP/64zr7AtsAxjZ2npKSELVu21Nn30UcfNfk8EkI9R5llu+rTbVjwltLoOBh9j2l1rtmkHZduWmI3vwjv3AmfPAF5u1u9bA5tqz9cAuT8Aw6dN6zB6aqe6bvwGJz81qzxXXEOTu0zY6SDic8wwTY6HtxJEJNs3rcx/8sEcDD/HX0PTH4crn4UfvLb2gEcoOvg2t8nZpkl0sAsm2bb1T8Ldwr0GWuWXMsYYFrDh86oDsVW5RjvOmr8LLIurT9k237Taj50Ogy7sfZycKnZMHK2WfNdRERERKSdaFct4VOmTKFfv36sWbOGBx54gBEjRgBQVFTEU089hcvlYs6cOVXHnzp1ilOnTpGRkUFGRkbV9nvvvZc333yTxx9/nA0bNhAdbVo+//73v/PRRx9x1VVXdcjlydo1dyKMmAk71phQVlNqtgl+9YlJhpG/NuG1NB8qPLDpOTh9sPqY0z/AwU0w4tfQ/xcm/B77zDwmJhl6XA5p9U8QUq8gXeir+H2mpTwm2XwFU3IStvwfs444mK7e5wpM4A4mOsHckBhxe/D9RXmmC3lcmvkKptsl5r0oPmG+d1a2bufvM63g0Qmm54HLDSl9gqyTbptjyiu7qqf0guNna9+MCDy3wwV9rwJfhXmv/JWzmvoqTGt96SkT5B1R5mdw2WwzSZvlbHh9dxERERGRCNWuQrjL5WLp0qVMmzaNCRMmcPvtt5OUlMS6des4ePAgixcvrhWeX3nlFRYtWsSCBQtYuHBh1fZJkyYxd+5cli5dysiRI/nZz37G8ePHeeutt0hKSuLVV18Nw6uTRqX3h6t+B8d2QOFR01rc7WJIvyj4wO3zBcLuh4/UDuABtg3frIaicyZAOmos13XsG+h5BQy9oWnPFRBs7WqvBwpyTaD1FIErxoz5Ts2u3dp/9rAJpvFdqkN42Vk4uRd8/SCpez2vM8iSbGdyYO9fzc2FgPT+Zkz6+YHe6YLL74Rdb1e/T1Ex0P0ySMiqPCbKvJdBB8w7IHs87PtbZT3J0GUQnDpgxpM7o00vhJgUGPaL6tdx+R2w9wNzYyJvp7lZEptsxpk7nGZs/ekf4Mr7oHLJMhERERGR9qZdhXAwAXrz5s0sWLCAt99+m/LycoYNG8ZTTz3FzJkzGz9Bpddff53hw4fz+uuv8/LLL5OQkMD111/P008/rVbwSBYVa7o/N1fRCTj6df37y4shZzN0H1F335F/mu7WPUc1/fm6DjHnC/CWQ97/mCAOJjD7fabF21MImcNNEPd6TBgF0wsgIDbNhNgzOSaYBxsL3eO8mU0LDsO/lle3MgfkH4B/LoUxv6nbEh+TBFfMNS3nZ4+YEJwxCHK/MGPK6+OMhpTepnu6rxy+32CCfMlJ8/xRsTBgKgz8KXQZXD3WHUyX9HH/CTvWmp+DK8YcX5OnEA58ChffWH8NIiIiIiIRrN2FcIDRo0fz4YcfNnrcwoULa7WA1+RwOJg/fz7z589v5eokouXvNxOhgQmJ5aVmBm+HC6LiKsNfSf2PP7T1wkJ47zFw9CsznhtM67a3ejZP0vubGwNlBWb72cOmZb/kpGmZd7hqd/e2LPOYk3tNV+3ErNrP1+cnplUdTLf1k9/Bt++Z8FozzAd4iiBnCwz+j+D1B2ZmD+h1BRz6ovZrqKnnqOpu4t1HmvfLnWjG5gfGqpfmw9F/mRAezJkciE0Nvg/MTYwh002LfaSy7cqfod/cLAnWI0JEREREOqUI/hQr0gYCLatlBWaSsSoe8JSYgB7fwHyFRXmm5bqpoSo2FS6fY5ZYKz5pghmYcJ3aB+K7mm7Zx/9t6ik5abpf+8rNMV2HVK+nHRCXbsZtR8dVzyqe0M0E8J6Xm/r2/F/Thd5XDoe3m2PcSSb4us6bHT9vV/0h/HwxyTBylhmbX1Fae1/mcNPCHfDdB+bmQ50x45ibAz9+U7fV3rarx5LXx1dhfk6RGsKP/AsOfg6lp8337kRzM6bvxAsbyiAiIiIiHVKEfooVaSNZI0yALg/S2m1hAl5UXN19AQ6nGfN8IZJ7mlnIT34HxZXLeMWlVZ/HGW3qKs03XxkDIbkXFOTUDeABMUlmPHXWpSZ015yk7Nv/Z1rfwewLTIjmKYQTu8164zXD4PkT3TUmrS9M/N+mRbrwR9N9PvOS2i3mnmLzehty5Ku6IdyyzI2LYEvKBUTFgSu2/v3h9MPnsP+81Rs8RbD/E/Oahv0iPHWJiEi7YVkWfr8f27axdPNWJORs28a2bRyOC/zMfwHa1RJlIi3mcEBqA7OcR8U2vOZ012HNa820LLP0V8YgMxHa+UHessz2nqPMBGWXzzZjousTCL7OqNoBvOxs7THvzujar6e81AT9mmqG56ZyVs5WPuTnMODauufwFJqu2A0pKwi+vecVDT+ux2W1x5JHivJSM169Pkf+BUXHQ1ePiIi0S263maS1pKSB4XEi0mYCv3uB38W2EIGfZEXakLfcBMbM4SagVrFMt/C+E014DLa2tzPKLKfVEo2NJ+8xygTy6HgY/PP6Zx8fekPwddNP7a8dfi0LEs4LyOdO1/6+1+im1X4hohMav1nhDjKLO0CfcWam+GASs6DfpBaV1maO/7vu5Hfn+3FHSEoREZH2KzHRzOGSl5dHcXExdrDPJCLS6mzbpri4mLy8PACSkur5rNoK1B1dOpdAd/KuQ8wM3mePmGAem1K9DJjbYcY+V9S4A53Q1QTfpKygp22yvleZWckLgqwfntyrdsjvdYXptp6zGU4fMNsyBprlv+oLqX5f3W0pvU2X6EDLc80/5j1HmQnUWltMEqQPgFP76j+mx2XBtzujzBJph7eZbvXnzpjA3uMy6D02+M2HSHD+GPlggg2DEBERqSE1NZWSkhJKSko4fPgwQIPd0gMhXV3XpaNr62u95g2v+Ph4UlJS2uR5QCFcOhuH06xZfeJbsJyQ0qfuMZmXwEVTzDrhZWdNIE8NclxzOKNg1J1msrSjX5nzu5NM1+5eV9adNC29v/lqqmDh3LKg2zAzm3rxCTOmu+tQ0+27SxsuxzfoOnOTI1g4Tc02647Xx+kyNxuyx7dZea0ucBOnpceIiEin5nA46NmzJwUFBRQWFuLxeBpsDff5zA14l0sf66Vja+tr3eFw4Ha7SUpKIiUlpU3HhOu3VTqfflebbtvBug47o8xkZ9B6wTvYc7RVwEzsZpY4y/++9nbLMgEwtS9M+K/QtCYndIUr74MDn8Hx3eb9diea1ve+EyN3dvPm6jLY3FDxFAbf73DV3/ovIiJSg8PhIC0tjbS0tEaPzc83c72kp6e3dVkiYdWRrvUO9ilYpAmSe8Jls2HP+uplpMAs/TX0BiAlTIW1kktugW9WmVbomqIT4LJZoe3OHZ8Bw28B3y/McmmumMicVK01OBzmtX69yrzWmiwHXHyjGesvIiIiIp2aQrh0Tun9Yfx/wZmDNbqc9zUtxvn5jT8+krkT4Mp5Zjz2iT1mnHhqtmnhb2jm97bkdHW8lu9g0vrB2P+EQ1+YJdps23T/7z0WknuEuzoRERERiQCd4FOxSD0sy4SmjsiyzNj3LoPCXUnnE58OQ643XyIiIiIi5+mg/UJFREREREREIo9CuIiIiIiIiEiIKISLiIiIiIiIhIhCuIiIiIiIiEiIaGK2NvDDDz9QWlrK2LFjw12KNIPXa9YPd7n06yEdl65z6Qx0nUtnoOtcOotIvNZ3795NXFzcBT9OLeFtIDU1tVk/DIkMe/fuZe/eveEuQ6RN6TqXzkDXuXQGus6ls4jEaz0uLo7U1NQLfpxl27bdBvWItFuBHgxbt24NcyUibUfXuXQGus6lM9B1Lp1FR7rW1RIuIiIiIiIiEiIK4SIiIiIiIiIhohAuIiIiIiIiEiIK4SIiIiIiIiIhohAuIiIiIiIiEiKaHV1EREREREQkRNQSLiIiIiIiIhIiCuEiIiIiIiIiIaIQLiIiIiIiIhIiCuEiIiIiIiIiIaIQLiIiIiIiIhIiCuEiIiIiIiIiIaIQLgKsXr2a++67j1GjRuF2u7EsixUrVoS7LJFWc/ToUV566SWmTp1K7969iY6OJjMzk5tuuont27eHuzyRVlFQUMADDzzA2LFjyczMxO1206NHDyZPnsy7776LVmWVjur555/Hsiwsy2Lbtm3hLkek1WRnZ1dd2+d/zZs3L9zlNZsr3AWIRILHH3+c3NxcMjIyyMrKIjc3N9wlibSqP/7xjzz33HP079+fa6+9lq5du7J//37Wr1/P+vXrWbt2Lb/85S/DXaZIi5w6dYply5YxZswYZsyYQVpaGidOnOC9997j5ptv5p577uFPf/pTuMsUaVXffvstTzzxBPHx8ZSUlIS7HJFWl5yczG9/+9s620eNGhX6YlqJZeu2sAgbNmxgwIAB9OnTh2effZZHH32U5cuXM2fOnHCXJtIq1q1bR5cuXZgwYUKt7f/4xz+YMmUKiYmJHDt2DLfbHaYKRVrO5/Nh2zYuV+02hqKiIsaMGcOePXvYvXs3w4YNC1OFIq3L5/MxduxYLMti4MCBrF69mq1btzJmzJhwlybSKrKzswHIyckJax2tTd3RRYBrrrmGPn36hLsMkTZz44031gngABMmTGDSpEmcPn2aXbt2haEykdbjdDrrBHCAxMREpk2bBsD3338f6rJE2sxzzz3Hzp07WbZsGU6nM9zliEgTqTu6iEgnFxUVBRA0vIh0BGVlZXz66adYlsXQoUPDXY5Iq9i9ezeLFi3i8ccfV+8O6dA8Hg8rV67k6NGjpKamMm7cOC699NJwl9Ui+sQlItKJHTp0iA0bNpCZmckll1wS7nJEWkVBQQEvvfQSfr+fEydO8MEHH3D48GEWLFjAgAEDwl2eSIt5vV7mzJnDkCFDeOSRR8JdjkibysvLqzNE9Kc//SmrVq0iIyMjPEW1kEK4iEgnVVFRwaxZs/B4PDz//PPqyigdRkFBAYsWLar6PioqihdeeIGHHnoojFWJtJ5nnnmGnTt3sn379qreTCId0V133cXEiRMZNmwYbrebPXv2sGjRIj788EOmT5/Oli1bsCwr3GVeMI0JFxHphPx+P3fddRebNm3innvuYdasWeEuSaTVZGdnY9s2Xq+XgwcP8uSTT/Lf//3f3HTTTXi93nCXJ9IiO3fuZPHixfzud7/jsssuC3c5Im3qiSeeYOLEiWRkZJCYmMiVV17J+++/z/jx49m6dSsffPBBuEtsFoVwEZFOxrZt7rnnHlavXs2vf/1rXnvttXCXJNImnE4n2dnZPPLIIyxevJi//OUvLFmyJNxlibTIHXfcQf/+/Vm4cGG4SxEJC4fDwZ133gnAli1bwlxN8yiEi4h0In6/n7vvvptly5Zx++23s2LFChwO/SmQjm/q1KkAbNy4MbyFiLTQzp072bt3LzExMViWVfW1cuVKgKoly9avXx/eQkXaUGAseGlpaZgraR6NCRcR6ST8fj9z585l+fLl3HrrraxatUrjwKXTOHbsGKBVAKT9u/vuu4Nu37RpE/v372f69Ol06dKlan1lkY5o+/btAO32OtdfIhGRTiDQAr5ixQpuueUWVq9erQAuHc6OHTvo27cvycnJtbafPn2axx57DIDrrrsuHKWJtJqlS5cG3T5nzhz279/Po48+ypgxY0JclUjr27NnD927dyclJaXW9s2bN/Piiy/idru58cYbw1NcCymEi2D+oG3evBmAXbt2VW0LdFucMWMGM2bMCFN1Ii335JNPsmLFChISEhg4cCCLFy+uc8yMGTMYMWJE6IsTaSUrVqxg6dKlTJo0iT59+hAfH09ubi5//etfKS4u5qabbuJXv/pVuMsUEZEmePvtt3n++eeZMmUK2dnZuN1udu/ezccff4zD4eC1116jd+/e4S6zWRTCRTB31AJjqQK2bNlSNdlDdna2Qri0azk5OQAUFxfz9NNPBz0mOztbIVzatZtvvpmzZ8+ybds2Nm3aRGlpKWlpaYwfP57Zs2dz2223tculbEREOqNJkybx7bff8vXXX/P5559TVlZGt27duPXWW3nwwQcZPXp0uEtsNsu2bTvcRYiIiIiIiIh0BpoSV0RERERERCREFMJFREREREREQkQhXERERERERCREFMJFREREREREQkQhXERERERERCREFMJFREREREREQkQhXERERERERCREFMJFREREREREQkQhXERERERERCREFMJFREREREREQkQhXERERERERCREFMJFREREREREQkQhXERERERERCREFMJFREREREREQkQhXERERERERCREFMJFRETkgtm2zdSpU7Esi3fffbfWPr/fz+TJk7Esi/Xr14enQBERkQhl2bZth7sIERERaX/y8vIYPnw4Xq+XnTt30qtXLwCeffZZHn30Ue677z5ee+21MFcpIiISWRTCRUREpNnef/99rr/+eiZMmMDGjRv5+uuvGTduHBdddBFfffUVsbGx4S5RREQkoiiEi4iISIvMnz+fV155hYcffph169aRm5vL9u3bGTFiRLhLExERiTgK4SIiItIiZWVljB49ml27dgHw4osv8uCDD4a5KhERkcikidlERESkRWJiYrjuuusAiIuL46677gpzRSIiIpFLIVxERERaZOvWrbz44oukp6dTWlrK/fffH+6SREREIpZCuIiIiDRbYWEhM2fOJCoqik2bNnHDDTfw5z//mdWrV4e7NBERkYikMeEiIiLSbDNnzmTNmjW8+uqrzJs3j/z8fIYPH05RURE7duygX79+4S5RREQkoqglXERERJpl1apVrFmzhunTpzNv3jwA0tPTWblyJcXFxcycOROv1xvmKkVERCKLQriIiIhcsB9++IH777+frKws3njjjVr7rrnmGh566CG2bdvGwoULw1OgiIhIhFJ3dBEREREREZEQUUu4iIiIiIiISIgohIuIiIiIiIiEiEK4iIiIiIiISIgohIuIiIiIiIiEiEK4iIiIiIiISIgohIuIiIiIiIiEiEK4iIiIiIiISIgohIuIiIiIiIiEiEK4iIiIiIiISIgohIuIiIiIiIiEiEK4iIiIiIiISIgohIuIiIiIiIiEiEK4iIiIiIiISIgohIuIiIiIiIiEiEK4iIiIiIiISIgohIuIiIiIiIiEiEK4iIiIiIiISIj8fwRFsCeiTqe+AAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Band width (95% pointwise): overall mean 0.233, max 0.918; in-range mean 0.301, max 0.918\n", "\n", "Parameter 95% CIs (Delta/Wald):\n", " p : 6.63413e-13 [ 6.63413e-13, 6.63413e-13 ]\n", " a : 978.23 [ 978.23, 978.23 ]\n", " b : 690.66 [ 690.66, 690.66 ]\n", " s : 0.898128 [ -13.9232, 15.7194 ]\n", " k : 120.118 [ 120.118, 120.118 ]\n", " theta : 0.00672257 [ -0.0353708, 0.048816 ]\n" ] } ], "source": [ "# ==== Option A: include the x-constant and fit ====\n", "\n", "import numpy as np\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln # log B(a,b), log Γ(k)\n", "\n", "# ---------- Data ----------\n", "X = np.array([\n", " 2.10530186,1.53638256,1.27440464,1.18793511,1.67463589,0.99560964,\n", " 1.29951334,1.4487505,1.41323006,0.97716498,4.15183592,1.21824968,\n", " 1.41615129,1.03924823,0.95176142,1.16912568,1.27644777,2.09301472,\n", " 1.40332818,1.31390798,1.26484132,1.01535118,0.87748241,1.47154474,\n", " 1.3867569,1.48594308,1.12360644,1.45436275,1.47734261,0.97777778,\n", " 1.36616147,1.15132082,1.50168598,1.14430678,1.19095373,2.2312088,\n", " 1.40842247,0.7728464,1.23352277,1.20050025,1.54410601,1.43738627,\n", " 1.40753829,1.30866444,1.46020007,1.29942894,1.26122737,1.17339683,\n", " 1.78620076,1.2313168,0.97633207,1.22268689,1.53426397,2.48122597,\n", " 1.51956749,1.55983913,1.23462415,1.43941736\n", "], float)\n", "\n", "y = np.array([\n", " 1,0,0,0,1,0,0,0,0,0, 1,0,0,0,0,0,0,1,0,0,\n", " 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,\n", " 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0\n", "], int)\n", "\n", "assert np.all(X>0) and len(X)==len(y)\n", "n=len(y); n1=int(y.sum()); n0=n-n1; p_emp=n1/n\n", "rng = np.random.default_rng(12345) # reproducible\n", "\n", "# --- logistic/sigmoid/softplus as you already defined ---\n", "def logistic(z):\n", " z = np.clip(z, -60, 60)\n", " return 1.0/(1.0+np.exp(-z))\n", "\n", "def sigmoid(t):\n", " return 1.0/(1.0+np.exp(-t))\n", "\n", "def softplus(t):\n", " t = np.asarray(t, float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0.0)\n", "\n", "# --- essential term (unchanged) ---\n", "def dE_ess(x, a, b, s, k, th):\n", " x = np.asarray(x, float)\n", " return (a-k)*np.log(x) - (a+b)*np.log1p(x/s) + x/th\n", "\n", "# --- global monotonicity cap (unchanged) ---\n", "def theta_max(a,b,k,s, eps=1e-12):\n", " A = a-k\n", " if A <= 0: return np.inf\n", " r = np.sqrt(a+b) - np.sqrt(max(A, eps))\n", " if r <= 1e-12: return np.inf\n", " return s/(r*r)\n", "\n", "# --- map raw -> constrained params (unchanged) ---\n", "def unpack_phi_mono(phi):\n", " p_raw,b_raw,s_raw,k_raw,d_raw,u = phi\n", " p = sigmoid(p_raw)\n", " b = softplus(b_raw) + 1e-6\n", " s = softplus(s_raw) + 1e-6\n", " k = softplus(k_raw) + 1e-6\n", " delta = softplus(d_raw) + 1e-6\n", " a = k + delta\n", " th_cap = theta_max(a,b,k,s)\n", " th = th_cap * sigmoid(u) # in (0, th_cap]\n", " return p,a,b,s,k,th\n", "\n", "\n", "\n", "# --- ADD BACK the x-constant term ---\n", "def dE_const(a,b,s,k,th):\n", " # C(a,b,s,k,θ) = -a log s - log B(a,b) + k log θ + log Γ(k)\n", " return -(a*np.log(s)) - betaln(a,b) + k*np.log(th) + gammaln(k)\n", "\n", "def dE_full(x, a, b, s, k, th):\n", " return dE_ess(x,a,b,s,k,th) + dE_const(a,b,s,k,th)\n", "\n", "# --- objective with constant included ---\n", "def neg_post_phi_mono_WITH_CONST(phi, X, y):\n", " p,a,b,s,k,th = unpack_phi_mono(phi)\n", " z = (np.log(p) - np.log(1-p)) + dE_full(X, a, b, s, k, th)\n", " px = logistic(z); eps=1e-12\n", " nll = -np.sum(y*np.log(px+eps) + (1-y)*np.log(1-px+eps))\n", "\n", " # Beta prior on p (kept)\n", " npr = -((alpha-1)*np.log(p+eps) + (beta-1)*np.log(1-p+eps))\n", " return nll \n", "\n", "# --- your initializer (unchanged) ---\n", "def init_phi(X, y):\n", " X0 = X[y==0]; m0 = X0.mean() if X0.size else X.mean(); v0 = X0.var() if X0.size else X.var()\n", " if v0 <= 0:\n", " k0, th0 = 2.0, max(m0/2, 0.1)\n", " else:\n", " k0 = max((m0**2)/(v0+1e-9), 1.5)\n", " th0 = max(v0/(m0+1e-9), 0.3)\n", " X1 = X[y==1]; m1 = X1.mean() if X1.size else X.mean()\n", " p0 = np.clip(p_emp, 1e-3, 1-1e-3)\n", " b0, s0 = 1.0, max(m1, 0.5)\n", " return np.array([\n", " np.log(p0/(1-p0)),\n", " np.log(np.expm1(b0)+1e-9),\n", " np.log(np.expm1(s0)+1e-9),\n", " np.log(np.expm1(k0)+1e-9),\n", " np.log(np.expm1(1.0)+1e-9),\n", " 0.0\n", " ], float)\n", "\n", "# --- fitting with constant included ---\n", "def fit_hard_mono_WITH_CONST(X, y, phi_start=None, maxtries=6, jitter=0.3, rng=None):\n", " if rng is None:\n", " rng = np.random.default_rng(12345)\n", " if phi_start is None:\n", " phi_start = init_phi(X, y)\n", " phi = phi_start.copy()\n", " for _ in range(maxtries):\n", " res = optimize.minimize(\n", " neg_post_phi_mono_WITH_CONST, phi, args=(X,y),\n", " method=\"L-BFGS-B\", options=dict(maxiter=12000, ftol=1e-10)\n", " )\n", " if res.success and np.isfinite(res.fun):\n", " return unpack_phi_mono(res.x), res\n", " phi = phi + rng.normal(0, jitter, size=phi.shape)\n", " raise RuntimeError(\"Fit WITH_CONST failed.\")\n", "\n", "# --- convenience: probability with fitted params (optional, helps sanity check) ---\n", "def P_with(theta, x):\n", " p,a,b,s,k,th = theta\n", " L = (np.log(p)-np.log(1-p)) + dE_full(x,a,b,s,k,th) # use full term here too\n", " return logistic(L)\n", "\n", "# ===== example run (requires your X, y, p_emp, rng already defined) =====\n", "theta_hat, res = fit_hard_mono_WITH_CONST(X, y, rng=rng)\n", "p_hat,a_hat,b_hat,s_hat,k_hat,th_hat = theta_hat\n", "print(\"Hard-mono fit WITH CONST:\",\n", " {\"p\":p_hat,\"a\":a_hat,\"b\":b_hat,\"s\":s_hat,\"k\":k_hat,\"theta\":th_hat,\n", " \"theta_max\":theta_max(a_hat,b_hat,k_hat,s_hat)})\n", "# Force inline display in notebooks and make the plot impossible to \"not see\"\n", "from IPython import get_ipython\n", "ip = get_ipython()\n", "if ip is not None:\n", " ip.run_line_magic('matplotlib', 'inline')\n", "\n", "import numpy as np\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "from IPython.display import display\n", "\n", "def plot_s_shape_inline(theta, X, y, rng=None, label='P(AE | x)'):\n", " # self-contained so it doesn't care about the rest of your imports\n", " if rng is None:\n", " rng = np.random.default_rng(0)\n", "\n", " fig, ax = plt.subplots(figsize=(7,4.5))\n", "\n", " # Smooth curve\n", " x_lo = max(1e-6, float(X.min())*0.8)\n", " x_hi = float(X.max())*1.2\n", " xg = np.linspace(x_lo, x_hi, 600)\n", " pg = P_with(theta, xg) # P_with must use dE_full (with constant)\n", "\n", " ax.plot(xg, pg, lw=2, label=label)\n", "\n", " # Stratified pairs with tiny jitter\n", " jit = (rng.random(len(X)) - 0.5) * 0.06\n", " y_jit = y + jit\n", " ax.scatter(X[y==0], y_jit[y==0], s=22, alpha=0.35, label='NC (y=0)', edgecolors='none')\n", " ax.scatter(X[y==1], y_jit[y==1], s=28, alpha=0.60, label='AE (y=1)', edgecolors='none')\n", "\n", " ax.set_ylim(-0.05, 1.05)\n", " ax.set_xlim(x_lo, x_hi)\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('P(AE | x)')\n", " ax.set_title('S-shaped P(AE | x) with hard-mono fit (constant included)')\n", " ax.grid(True, alpha=0.3)\n", " ax.legend(loc='lower right', frameon=False)\n", " return fig, ax\n", "\n", "# Build and show the figure\n", "fig, ax = plot_s_shape_inline(theta_hat, X, y, rng=rng)\n", "display(fig) # explicitly display in Jupyter\n", "plt.show() # and also show, because why not\n", "fig.savefig('s_curve_with_const.png', dpi=200, bbox_inches='tight')\n", "print(\"Saved: s_curve_with_const.png\")\n", "print(\"Matplotlib backend:\", matplotlib.get_backend())\n", "\n", "# ===== Delta band + compact summaries (minimal) =====\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import numdifftools as nd\n", "from scipy.stats import norm\n", "\n", "# 1) Covariance in raw-phi space at MAP\n", "phi_hat = res.x.copy()\n", "f_obj = lambda phi: neg_post_phi_mono_WITH_CONST_REG(np.asarray(phi, float), X, y)\n", "H = nd.Hessian(f_obj, method='central')(phi_hat)\n", "Sigma_phi = np.linalg.pinv(0.5*(H + H.T)) # robust inverse. Near the optimum, the negative log-posterior \n", "#looks like a quadratic bowl. The Hessian gives the bowl’s curvature (precision), and its inverse gives the spread (covariance). \n", "#Using pinv instead of inv prevents numerical blow-ups when the bowl is too flat in some directions.\n", "\n", "# 2) Delta band on P(AE|x) via numdifftools.Gradient\n", "x_lo = max(1e-6, float(X.min())*0.8)\n", "x_hi = min(10.0, float(X.max())*1.2)\n", "xg = np.linspace(x_lo, x_hi, 500)\n", "\n", "p_hat = np.empty_like(xg)\n", "p_lo = np.empty_like(xg)\n", "p_hi = np.empty_like(xg)\n", "\n", "for i, x in enumerate(xg):\n", " gx = g_px(x)\n", " ph = gx(phi_hat)\n", " grad = nd.Gradient(gx, method='central')(phi_hat)\n", " var = float(grad @ Sigma_phi @ grad)\n", " se = np.sqrt(max(var, 0.0))\n", " p_hat[i] = ph\n", " p_lo[i] = np.clip(ph - z*se, 0.0, 1.0)\n", " p_hi[i] = np.clip(ph + z*se, 0.0, 1.0)\n", "\n", "# 3) Plot\n", "fig, ax = plt.subplots(figsize=(7.2, 4.4), dpi=140)\n", "ax.plot(xg, p_hat, lw=2.0, label='P(AE|x) @ MAP')\n", "ax.fill_between(xg, p_lo, p_hi, alpha=0.20, label='95% Delta band')\n", "rngp = np.random.default_rng(999); jit = (rngp.random(len(X)) - 0.5) * 0.06\n", "ax.scatter(X[y==0], (y+jit)[y==0], s=22, alpha=0.55, edgecolors='none', label='NC')\n", "ax.scatter(X[y==1], (y+jit)[y==1], s=26, alpha=0.75, edgecolors='none', label='AE')\n", "ax.set_ylim(-0.05, 1.05); ax.set_xlabel('x'); ax.set_ylabel('P(AE | x)')\n", "ax.grid(alpha=0.3); ax.legend(loc='lower right')\n", "plt.tight_layout(); plt.show()\n", "\n", "\n", "\n", "w = p_hi - p_lo\n", "mask = (xg >= float(X.min())) & (xg <= float(X.max()))\n", "print(\"\\nBand width (95% pointwise): \"\n", " f\"overall mean {w.mean():.3f}, max {w.max():.3f}; \"\n", " f\"in-range mean {w[mask].mean():.3f}, max {w[mask].max():.3f}\")\n", "\n", "\n", "try:\n", " G = lambda phi: np.array(unpack_phi_mono(np.asarray(phi, float)), float) # -> [p,a,b,s,k,theta]\n", " #https://www.geeksforgeeks.org/python/python-lambda-anonymous-functions-filter-map-reduce/\n", " J = nd.Jacobian(G)(phi_hat)\n", " Sigma_theta = J @ Sigma_phi @ J.T\n", " se = np.sqrt(np.maximum(np.diag(Sigma_theta), 0.0))\n", " theta_hat_vec = G(phi_hat); names = [\"p\",\"a\",\"b\",\"s\",\"k\",\"theta\"]\n", " print(\"\\nParameter 95% CIs (Delta/Wald):\")\n", " for nm, v, svi in zip(names, theta_hat_vec, se):\n", " print(f\" {nm:>6s} : {v:.6g} [ {v - z*svi:.6g}, {v + z*svi:.6g} ]\")\n", "except Exception as e:\n", " print(\"(Parameter CI step skipped:\", e, \")\")\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "id": "f9715cfe", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "8677ca30", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization success: True fval: 7.399262068245435\n", "{'p': 0.9999997169930267, 'a': 6.535509219079483, 'b': 0.04783637616737295, 's': 15.029075680403924, 'k': 6.535508219079401, 'theta': 0.16483762300431964, 'theta_max': 2.2846738371959594, 'theta/theta_max': 0.0721493021544945, 'logit(p)': 15.077794015961443, 'C': -26.694950817274382, 'x* (bottleneck)': 0.005859738800900401}\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Band width (95% pointwise): overall mean 0.136, max 0.912; in-range mean 0.176, max 0.912\n", "\n", "Parameter 95% CIs (Delta/Wald):\n", " p : 1 [ 1, 1 ]\n", " a : 6.53551 [ 6.53551, 6.53551 ]\n", " b : 0.0478364 [ -2.44039, 2.53606 ]\n", " s : 15.0291 [ 15.0291, 15.0291 ]\n", " k : 6.53551 [ 6.53551, 6.53551 ]\n", " theta : 0.164838 [ 0.164838, 0.164838 ]\n" ] } ], "source": [ "# BetaPrime vs Gamma, hard-mono fit WITH constant + weak regularization\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "import scipy.io as io\n", "from scipy.stats import norm\n", "\n", "\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3]\n", "\n", "X = np.nanmax(suv[:, :, 94], axis=1).reshape(-1)\n", "X_NC = X[flags == 0]\n", "X_AE = X[flags == 1]\n", "\n", "\n", "y = np.array([1]*len(X_AE) + [0]*len(X_NC), int) # 1=AE, 0=NC\n", "X = np.concatenate([X_AE, X_NC], axis=0)\n", "# sanity checks now that X,y actually exist\n", "n = len(y); n1 = int(y.sum()); p_emp = n1 / n\n", "rng = np.random.default_rng(12345)\n", "\n", "# Helpers \n", "def logistic(z):\n", " z = np.clip(z, -60, 60)\n", " return 1.0/(1.0+np.exp(-z))\n", "\n", "def sigmoid(t):\n", " return 1.0/(1.0+np.exp(-t))\n", "\n", "def softplus(t):\n", " t = np.asarray(t, float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0.0)\n", "\n", "# Eq: logit P(AE|x) = log(p/(1-p)) + dE(x)\n", "# where dE(x) = dE_ess(x) + C(params)\n", "\n", "def dE_ess(x, a, b, s, k, th):\n", " # Essential (x-dependent) terms:\n", " # (a - k) * log(x) - (a + b) * log(1 + x/s) + x/th\n", " x = np.asarray(x, float)\n", " return (a - k) * np.log(x) - (a + b) * np.log1p(x/s) + x/th\n", "\n", "def dE_const(a, b, s, k, th):\n", " # Constant (parameter-only) terms:\n", " # C = -a*log(s) - log B(a,b) + k*log(th) + log Γ(k)\n", " return -(a*np.log(s)) - betaln(a, b) + k*np.log(th) + gammaln(k)\n", "\n", "def dE_full(x, a, b, s, k, th):\n", " # Total evidence term: dE(x) = dE_ess(x) + C\n", " return dE_ess(x, a, b, s, k, th) + dE_const(a, b, s, k, th)\n", "\n", "# Global monotonicity cap for theta \n", "def theta_max(a, b, k, s, eps=1e-12):\n", " A = a - k\n", " if A <= 0:\n", " return np.inf\n", " r = np.sqrt(a + b) - np.sqrt(max(A, eps))\n", " if r <= 1e-12:\n", " return np.inf\n", " return s/(r*r)\n", "\n", "# phi = [p_raw, b_raw, s_raw, k_raw, d_raw, u_raw]\n", "def unpack_phi_mono(phi):\n", " p_raw, b_raw, s_raw, k_raw, d_raw, u_raw = phi\n", " \n", " # Map raw parameters into valid constrained space:\n", " # p = sigmoid(p_raw) ∈ (0,1) → AE prior (class prior)\n", " p = sigmoid(p_raw) \n", " \n", " # b = softplus(b_raw) > 0 → Beta–Prime shape parameter\n", " b = softplus(b_raw) + 1e-6 \n", " \n", " # s = softplus(s_raw) > 0 → Beta–Prime scale parameter\n", " s = softplus(s_raw) + 1e-6 \n", " \n", " # k = softplus(k_raw) > 0 → Gamma shape parameter\n", " k = softplus(k_raw) + 1e-6 \n", " \n", " # delta = softplus(d_raw) > 0; a = k + delta > k\n", " delta = softplus(d_raw) + 1e-6 \n", " a = k + delta \n", " \n", " # θ (theta) is constrained: 0 < θ ≤ θ_max(a,b,k,s)\n", " th_cap = theta_max(a, b, k, s) \n", " th = th_cap * sigmoid(u_raw) # map u_raw ∈ R into (0, th_cap]\n", " \n", " return p, a, b, s, k, th\n", "\n", "# Objective \n", "def neg_post_phi_mono_WITH_CONST_REG(phi, X, y):\n", " p, a, b, s, k, th = unpack_phi_mono(phi)\n", " eps = 1e-12\n", "\n", " # Likelihood with constant included\n", " z = (np.log(p) - np.log(1-p)) + dE_full(X, a, b, s, k, th)\n", " px = logistic(z)\n", " nll = -np.sum(y*np.log(px + eps) + (1-y)*np.log(1 - px + eps))\n", "\n", "\n", "\n", "# Initialization \n", "def init_phi(X, y):\n", " # Method-of-moments init for Gamma(k, theta) \n", " # ref: https://en.wikipedia.org/wiki/Gamma_distribution#Estimation_of_parameters\n", " X0 = X[y==0]\n", " m0 = X0.mean() if X0.size else X.mean() # sample mean\n", " v0 = X0.var() if X0.size else X.var() # sample variance\n", "\n", " if v0 <= 0:\n", " # If variance is degenerate, pick a safe, sane starting point\n", " k0, th0 = 2.0, max(m0/2, 0.1)\n", " else:\n", " # MoM: k = m^2 / v, theta = v / m, with small eps and lower bounds\n", " k0 = max((m0**2)/(v0 + 1e-9), 1.5)\n", " th0 = max(v0/(m0 + 1e-9), 0.3)\n", "\n", " X1 = X[y==1]\n", " m1 = np.median(X1) if X1.size else np.median(X)\n", "\n", "\n", "# Empirical AE rate as a starting prior for p. Clip away from 0/1 so logit is finite.\n", "# p0 = n_AE / n, but truncated to [1e-3, 1-1e-3] to avoid infinities in log(p/(1-p)).\n", " p0 = np.clip(float(y.mean()), 1e-3, 1 - 1e-3)\n", " \n", " \n", " \n", "# Simple, stable seeds for AE Beta–Prime:\n", "# b0 = 1.5 → mild shape; not too spiky, not too flat.\n", "# s0 = max(m1, 0.5) → anchor scale near the AE median, but don’t go tiny.\n", " b0, s0 = 1.5, max(m1, 0.5)\n", "\n", "\n", "# Pack raw parameters φ for the optimizer.\n", "# We optimize in an unconstrained space and map with:\n", "# p = sigmoid(p_raw)\n", "# b,s,k = softplus(raw) + 1e-6\n", "# a = k + softplus(delta_raw) + 1e-6\n", "# theta = theta_max * sigmoid(u_raw)\n", "# To “invert” softplus for the initial guess we use log(expm1(v)) which is the exact inverse\n", "# of softplus when you define softplus(t) = log(1 + exp(t)). The +1e-9 is just numerical padding.\n", " raw = np.array([\n", " np.log(p0/(1-p0)), # p_raw\n", " np.log(np.expm1(b0) + 1e-9), # b_raw\n", " np.log(np.expm1(s0) + 1e-9), # s_raw\n", " np.log(np.expm1(k0) + 1e-9), # k_raw\n", " np.log(np.expm1(1.0) + 1e-9), # delta_raw\n", " -0.2 # u_raw (keeps theta a bit below cap initially)\n", " ], float) \n", " return raw\n", "\n", "# Fitting \n", "def fit_hard_mono_WITH_CONST_REG(X, y, phi_start=None, maxtries=6, jitter=0.3, rng=None):\n", " if rng is None:\n", " rng = np.random.default_rng(12345)\n", " if phi_start is None:\n", " phi_start = init_phi(X, y)\n", " phi = phi_start.copy()\n", "\n", " for _ in range(maxtries):\n", " res = optimize.minimize(\n", " neg_post_phi_mono_WITH_CONST_REG, phi, args=(X, y),\n", " method=\"L-BFGS-B\",\n", " options=dict(maxiter=12000, ftol=1e-10)\n", " )\n", " if res.success and np.isfinite(res.fun):\n", " return unpack_phi_mono(res.x), res\n", " phi = phi + rng.normal(0, jitter, size=phi.shape)\n", "\n", "# Convenience \n", "def P_with(theta, x):\n", " p, a, b, s, k, th = theta\n", " L = (np.log(p) - np.log(1-p)) + dE_full(x, a, b, s, k, th)\n", " return logistic(L)\n", "\n", "def diag_report(theta, X):\n", " p, a, b, s, k, th = theta\n", " thcap = theta_max(a, b, k, s)\n", " C = dE_const(a, b, s, k, th)\n", " logit_p = np.log(p) - np.log(1 - p)\n", " A = a - k\n", " den = np.sqrt(a + b) - np.sqrt(max(A, 1e-12))\n", " xs = np.inf if den <= 1e-12 else s*np.sqrt(max(A,1e-12))/den\n", " print({\n", " \"p\": p, \"a\": a, \"b\": b, \"s\": s, \"k\": k, \"theta\": th,\n", " \"theta_max\": thcap, \"theta/theta_max\": (th/thcap if np.isfinite(thcap) else np.nan),\n", " \"logit(p)\": logit_p, \"C\": C, \"x* (bottleneck)\": xs\n", " })\n", "\n", "def plot_s_shape(theta, X, y, rng=None, ax=None, label='P(AE | x)'):\n", " if rng is None:\n", " rng = np.random.default_rng(0)\n", " if ax is None:\n", " fig, ax = plt.subplots(figsize=(7, 4.5))\n", "\n", " x_lo = max(1e-6, float(X.min())*0.8)\n", " x_hi = float(X.max())*1.2\n", " xg = np.linspace(x_lo, x_hi, 600)\n", " pg = P_with(theta, xg)\n", "\n", " ax.plot(xg, pg, lw=2, label=label)\n", " jit = (rng.random(len(X)) - 0.5) * 0.06\n", " y_jit = y + jit\n", " ax.scatter(X[y==0], y_jit[y==0], s=22, alpha=0.35, label='NC (y=0)', edgecolors='none')\n", " ax.scatter(X[y==1], y_jit[y==1], s=28, alpha=0.60, label='AE (y=1)', edgecolors='none')\n", "\n", " ax.set_ylim(-0.05, 1.05)\n", " ax.set_xlim(x_lo, x_hi)\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('P(AE | x)')\n", " ax.set_title('S-shaped P(AE | x) with hard-mono fit (constant included, regularized)')\n", " ax.grid(True, alpha=0.3)\n", " ax.legend(loc='lower right', frameon=False)\n", " return ax\n", "\n", "# Run fit\n", "theta_hat, res = fit_hard_mono_WITH_CONST_REG(X, y, rng=rng)\n", "print(\"Optimization success:\", res.success, \"fval:\", res.fun)\n", "diag_report(theta_hat, X)\n", "ax = plot_s_shape(theta_hat, X, y, rng=rng)\n", "plt.show()\n", "\n", "\n", "\n", "# ===== Delta band + compact summaries (minimal) =====\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import numdifftools as nd\n", "from scipy.stats import norm\n", "\n", "# 1) Covariance in raw-phi space at MAP\n", "phi_hat = res.x.copy()\n", "f_obj = lambda phi: neg_post_phi_mono_WITH_CONST_REG(np.asarray(phi, float), X, y)\n", "H = nd.Hessian(f_obj, method='central')(phi_hat)\n", "Sigma_phi = np.linalg.pinv(0.5*(H + H.T)) # robust inverse. Near the optimum, the negative log-posterior \n", "#looks like a quadratic bowl. The Hessian gives the bowl’s curvature (precision), and its inverse gives the spread (covariance). \n", "#Using pinv instead of inv prevents numerical blow-ups when the bowl is too flat in some directions.\n", "\n", "# 2) Delta band on P(AE|x) via numdifftools.Gradient\n", "x_lo = max(1e-6, float(X.min())*0.8)\n", "x_hi = min(10.0, float(X.max())*1.2)\n", "xg = np.linspace(x_lo, x_hi, 500)\n", "\n", "p_hat = np.empty_like(xg)\n", "p_lo = np.empty_like(xg)\n", "p_hi = np.empty_like(xg)\n", "\n", "for i, x in enumerate(xg):\n", " gx = g_px(x)\n", " ph = gx(phi_hat)\n", " grad = nd.Gradient(gx, method='central')(phi_hat)\n", " var = float(grad @ Sigma_phi @ grad)\n", " se = np.sqrt(max(var, 0.0))\n", " p_hat[i] = ph\n", " p_lo[i] = np.clip(ph - z*se, 0.0, 1.0)\n", " p_hi[i] = np.clip(ph + z*se, 0.0, 1.0)\n", "\n", "# 3) Plot\n", "fig, ax = plt.subplots(figsize=(7.2, 4.4), dpi=140)\n", "ax.plot(xg, p_hat, lw=2.0, label='P(AE|x) @ MAP')\n", "ax.fill_between(xg, p_lo, p_hi, alpha=0.20, label='95% Delta band')\n", "rngp = np.random.default_rng(999); jit = (rngp.random(len(X)) - 0.5) * 0.06\n", "ax.scatter(X[y==0], (y+jit)[y==0], s=22, alpha=0.55, edgecolors='none', label='NC')\n", "ax.scatter(X[y==1], (y+jit)[y==1], s=26, alpha=0.75, edgecolors='none', label='AE')\n", "ax.set_ylim(-0.05, 1.05); ax.set_xlabel('x'); ax.set_ylabel('P(AE | x)')\n", "ax.grid(alpha=0.3); ax.legend(loc='lower right')\n", "plt.tight_layout(); plt.show()\n", "\n", "\n", "\n", "w = p_hi - p_lo\n", "mask = (xg >= float(X.min())) & (xg <= float(X.max()))\n", "print(\"\\nBand width (95% pointwise): \"\n", " f\"overall mean {w.mean():.3f}, max {w.max():.3f}; \"\n", " f\"in-range mean {w[mask].mean():.3f}, max {w[mask].max():.3f}\")\n", "\n", "\n", "try:\n", " G = lambda phi: np.array(unpack_phi_mono(np.asarray(phi, float)), float) # -> [p,a,b,s,k,theta]\n", " #https://www.geeksforgeeks.org/python/python-lambda-anonymous-functions-filter-map-reduce/\n", " J = nd.Jacobian(G)(phi_hat)\n", " Sigma_theta = J @ Sigma_phi @ J.T\n", " se = np.sqrt(np.maximum(np.diag(Sigma_theta), 0.0))\n", " theta_hat_vec = G(phi_hat); names = [\"p\",\"a\",\"b\",\"s\",\"k\",\"theta\"]\n", " print(\"\\nParameter 95% CIs (Delta/Wald):\")\n", " for nm, v, svi in zip(names, theta_hat_vec, se):\n", " print(f\" {nm:>6s} : {v:.6g} [ {v - z*svi:.6g}, {v + z*svi:.6g} ]\")\n", "except Exception as e:\n", " print(\"(Parameter CI step skipped:\", e, \")\")\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "id": "8be2006c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xx = np.linspace(0, 1, 400)\n", "ff = lambda x, a: (x**(a-1)) * ((1-x)**(a-1)) / (2 * np.exp(betaln(a, a)))\n", "plt.plot(xx, ff(xx, 2), label='2')\n", "plt.plot(xx, ff(xx, 1.1),label='1.1')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 184, "id": "45975ef6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Band width (95% pointwise): overall mean 0.233, max 0.918; in-range mean 0.301, max 0.918\n", "\n", "Parameter 95% CIs (Delta/Wald):\n", " p : 6.63413e-13 [ 6.63413e-13, 6.63413e-13 ]\n", " a : 978.23 [ 978.23, 978.23 ]\n", " b : 690.66 [ 690.66, 690.66 ]\n", " s : 0.898128 [ -13.9232, 15.7194 ]\n", " k : 120.118 [ 120.118, 120.118 ]\n", " theta : 0.00672257 [ -0.0353708, 0.048816 ]\n" ] } ], "source": [ "# ===== Delta band + compact summaries (minimal) =====\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import numdifftools as nd\n", "from scipy.stats import norm\n", "\n", "# 1) Covariance in raw-phi space at MAP\n", "phi_hat = res.x.copy()\n", "f_obj = lambda phi: neg_post_phi_mono_WITH_CONST_REG(np.asarray(phi, float), X, y)\n", "H = nd.Hessian(f_obj, method='central')(phi_hat)\n", "Sigma_phi = np.linalg.pinv(0.5*(H + H.T)) # robust inverse. Near the optimum, the negative log-posterior \n", "#looks like a quadratic bowl. The Hessian gives the bowl’s curvature (precision), and its inverse gives the spread (covariance). \n", "#Using pinv instead of inv prevents numerical blow-ups when the bowl is too flat in some directions.\n", "\n", "# 2) Delta band on P(AE|x) via numdifftools.Gradient\n", "x_lo = max(1e-6, float(X.min())*0.8)\n", "x_hi = min(10.0, float(X.max())*1.2)\n", "xg = np.linspace(x_lo, x_hi, 500)\n", "\n", "p_hat = np.empty_like(xg)\n", "p_lo = np.empty_like(xg)\n", "p_hi = np.empty_like(xg)\n", "\n", "for i, x in enumerate(xg):\n", " gx = g_px(x)\n", " ph = gx(phi_hat)\n", " grad = nd.Gradient(gx, method='central')(phi_hat)\n", " var = float(grad @ Sigma_phi @ grad)\n", " se = np.sqrt(max(var, 0.0))\n", " p_hat[i] = ph\n", " p_lo[i] = np.clip(ph - z*se, 0.0, 1.0)\n", " p_hi[i] = np.clip(ph + z*se, 0.0, 1.0)\n", "\n", "# 3) Plot\n", "fig, ax = plt.subplots(figsize=(7.2, 4.4), dpi=140)\n", "ax.plot(xg, p_hat, lw=2.0, label='P(AE|x) @ MAP')\n", "ax.fill_between(xg, p_lo, p_hi, alpha=0.20, label='95% Delta band')\n", "rngp = np.random.default_rng(999); jit = (rngp.random(len(X)) - 0.5) * 0.06\n", "ax.scatter(X[y==0], (y+jit)[y==0], s=22, alpha=0.55, edgecolors='none', label='NC')\n", "ax.scatter(X[y==1], (y+jit)[y==1], s=26, alpha=0.75, edgecolors='none', label='AE')\n", "ax.set_ylim(-0.05, 1.05); ax.set_xlabel('x'); ax.set_ylabel('P(AE | x)')\n", "ax.grid(alpha=0.3); ax.legend(loc='lower right')\n", "plt.tight_layout(); plt.show()\n", "\n", "\n", "\n", "w = p_hi - p_lo\n", "mask = (xg >= float(X.min())) & (xg <= float(X.max()))\n", "print(\"\\nBand width (95% pointwise): \"\n", " f\"overall mean {w.mean():.3f}, max {w.max():.3f}; \"\n", " f\"in-range mean {w[mask].mean():.3f}, max {w[mask].max():.3f}\")\n", "\n", "\n", "try:\n", " G = lambda phi: np.array(unpack_phi_mono(np.asarray(phi, float)), float) # -> [p,a,b,s,k,theta]\n", " #https://www.geeksforgeeks.org/python/python-lambda-anonymous-functions-filter-map-reduce/\n", " J = nd.Jacobian(G)(phi_hat)\n", " Sigma_theta = J @ Sigma_phi @ J.T\n", " se = np.sqrt(np.maximum(np.diag(Sigma_theta), 0.0))\n", " theta_hat_vec = G(phi_hat); names = [\"p\",\"a\",\"b\",\"s\",\"k\",\"theta\"]\n", " print(\"\\nParameter 95% CIs (Delta/Wald):\")\n", " for nm, v, svi in zip(names, theta_hat_vec, se):\n", " print(f\" {nm:>6s} : {v:.6g} [ {v - z*svi:.6g}, {v + z*svi:.6g} ]\")\n", "except Exception as e:\n", " print(\"(Parameter CI step skipped:\", e, \")\")\n" ] }, { "cell_type": "code", "execution_count": 96, "id": "de07fbfa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization success: True fval: 9.904629389469266\n", "theta (p,a,b,s,k,theta): (0.050209602209801966, 974.8472368285478, 536.4865711560959, 0.905754546976972, 199.147252129427, 0.007433282364699209) ratio(th): 0.9974400394683903\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Constrained Bayesian fit (Gamma for NC, Beta-Prime for AE) — no regularization, no r-prior\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "import scipy.io as io\n", "\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3] # 0=NC, 1=AE\n", "\n", "# Feature X = max SUV_94 per subject; label y = flags\n", "X = np.nanmax(suv[:, :, 94], axis=1).astype(float).ravel()\n", "y = np.asarray(flags, int).ravel()\n", "\n", "# Guard for logs\n", "X = np.clip(X, 1e-12, None)\n", "p_emp = float(y.mean())\n", "\n", "# Small helpers\n", "\n", "def logistic(z):\n", " z = np.clip(z, -60, 60)\n", " return 1.0 / (1.0 + np.exp(-z))\n", "\n", "def sigmoid(t):\n", " return 1.0 / (1.0 + np.exp(-t))\n", "\n", "def softplus(t):\n", " t = np.asarray(t, float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0.0)\n", "\n", "# dE(x) pieces for log-odds\n", "def dE_ess(x, a, b, s, k, th):\n", " x = np.asarray(x, float)\n", " return (a - k) * np.log(x) - (a + b) * np.log1p(x / s) + x / th\n", "\n", "def dE_const(a, b, s, k, th):\n", " return -(a * np.log(s)) - betaln(a, b) + k * np.log(th) + gammaln(k)\n", "\n", "def dE_full(x, a, b, s, k, th):\n", " return dE_ess(x, a, b, s, k, th) + dE_const(a, b, s, k, th)\n", "\n", "# Monotonicity cap for theta\n", "def theta_max(a, b, k, s, eps=1e-12):\n", " A = a - k\n", " if A <= 0:\n", " return np.inf\n", " r = np.sqrt(a + b) - np.sqrt(max(A, eps))\n", " if r <= 1e-12:\n", " return np.inf\n", " return s / (r * r)\n", "\n", "# φ = [p_raw, b_raw, s_raw, k_raw, d_raw, u_raw] (unconstrained)\n", "def unpack_phi_mono(phi):\n", " p_raw, b_raw, s_raw, k_raw, d_raw, u_raw = phi\n", " p = sigmoid(p_raw) # (0,1)\n", " b = softplus(b_raw) + 1e-6 # >0\n", " s = softplus(s_raw) + 1e-6 # >0\n", " k = softplus(k_raw) + 1e-6 # >0\n", " delta = softplus(d_raw) + 1e-6 # >0\n", " a = k + delta # enforce a > k\n", " th_cap = theta_max(a, b, k, s) # theta cap from monotonicity\n", " th = th_cap * sigmoid(u_raw) # 0 < theta <= th_cap\n", " return p, a, b, s, k, th\n", "\n", "# Prior on p \n", "TAU = 25.0 # shrink toward empirical AE rate\n", "alpha = max(TAU * p_emp, 1e-6)\n", "beta = max(TAU * (1.0 - p_emp), 1e-6)\n", "\n", "#prior_r = None\n", "prior_r = (1.1, 1.1)\n", "#prior_r = (3, 3)\n", "\n", "# Objective: negative log-posterior (likelihood + Beta prior on p)\n", "def neg_post_phi_mono(phi, X, y):\n", " p, a, b, s, k, th = unpack_phi_mono(phi)\n", " eps = 1e-12\n", "\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(X, a, b, s, k, th)\n", " px = logistic(L)\n", " nll = -np.sum(y * np.log(px + eps) + (1 - y) * np.log(1 - px + eps))\n", "\n", " # Beta(alpha, beta) prior on p → negative log-prior\n", " npr_p = -((alpha - 1) * np.log(p + eps) + (beta - 1) * np.log(1 - p + eps))\n", "\n", " if prior_r is None: return nll + npr_p\n", " \n", " # Prior on r = theta / theta_max (softly avoid boundaries)\n", " thcap = theta_max(a, b, k, s)\n", " if np.isfinite(thcap) and thcap > 0:\n", " r = np.clip(th / thcap, 1e-9, 1 - 1e-9)\n", " # Negative log Beta prior: -[(α-1)log r + (β-1)log(1-r)] (const dropped)\n", " npr_r = -((prior_r[0] -1) * np.log(r) + (prior_r[1]-1)* np.log(1.0 - r))\n", " else:\n", " npr_r = 0.0\n", "\n", " return nll + npr_p + npr_r\n", "\n", "# Initialization (stable, simple)\n", "def init_phi(X, y):\n", " # Gamma(k, theta) MoM for NC group (only need k0 as a safe size proxy)\n", " X0 = X[y == 0]\n", " m0 = X0.mean() if X0.size else X.mean()\n", " v0 = X0.var() if X0.size else X.var()\n", " k0 = 2.0 if v0 <= 0 else max((m0**2)/(v0 + 1e-9), 1.5)\n", "\n", " # AE median to seed s0\n", " X1 = X[y == 1]\n", " m1 = np.median(X1) if X1.size else np.median(X)\n", "\n", " p0 = np.clip(float(y.mean()), 1e-3, 1 - 1e-3)\n", " b0, s0 = 1.5, max(m1, 0.5)\n", "\n", " return np.array([\n", " np.log(p0 / (1 - p0)), # p_raw\n", " np.log(np.expm1(b0) + 1e-9), # b_raw\n", " np.log(np.expm1(s0) + 1e-9), # s_raw\n", " np.log(np.expm1(k0) + 1e-9), # k_raw\n", " np.log(np.expm1(1.0) + 1e-9), # d_raw (delta)\n", " -0.2 # u_raw (keeps theta a bit below cap initially)\n", " ], float)\n", "\n", "# Fit wrapper (one retry)\n", "def fit_bayes_mono(X, y, phi_start=None, rng=None):\n", " if rng is None:\n", " rng = np.random.default_rng(0)\n", " if phi_start is None:\n", " phi_start = init_phi(X, y)\n", "\n", " obj = lambda phi: neg_post_phi_mono(phi, X, y)\n", "\n", " res = optimize.minimize(\n", " obj, phi_start, method=\"L-BFGS-B\",\n", " options={\"maxiter\": 6000, \"ftol\": 1e-9}\n", " )\n", " if not (res.success and np.isfinite(res.fun)):\n", " phi_try = phi_start + rng.normal(0, 0.2, size=phi_start.shape)\n", " res = optimize.minimize(\n", " obj, phi_try, method=\"L-BFGS-B\",\n", " options={\"maxiter\": 6000, \"ftol\": 1e-9}\n", " )\n", " return unpack_phi_mono(res.x), res\n", "\n", "# prediction \n", "def P_with(theta, x):\n", " p, a, b, s, k, th = theta\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(x, a, b, s, k, th)\n", " return logistic(L)\n", "\n", "# Run fit + plot\n", "theta_hat, res = fit_bayes_mono(X, y)\n", "print(\"Optimization success:\", res.success, \" fval:\", float(res.fun))\n", "\n", "(p,a,b,s,k,th) = theta_hat\n", "thcap = theta_max(a, b, k, s)\n", "print(\"theta (p,a,b,s,k,theta):\", tuple(float(t) for t in theta_hat), \"ratio(th):\", th/thcap)\n", "\n", "# x-range (cap right end at 10 for readability)\n", "x_lo = max(1e-6, float(X.min()) * 0.8)\n", "x_hi = min(10.0, float(X.max()) * 1.2)\n", "xg = np.linspace(x_lo, x_hi, 600)\n", "p_curve = P_with(theta_hat, xg)\n", "\n", "fig, ax = plt.subplots(figsize=(7.0, 4.6), dpi=140)\n", "ax.plot(xg, p_curve, color=\"#000000\", lw=2.2, label=\"P(AE|x) (MAP)\")\n", "\n", "# overlay data with tiny vertical jitter so points don't overlap\n", "rng_plot = np.random.default_rng(999)\n", "jit = (rng_plot.random(len(y)) - 0.5) * 0.06\n", "ax.scatter(X[y==0], (y + jit)[y==0], s=22, alpha=0.55, color=\"#2ca02c\", edgecolors='none', label='NC')\n", "ax.scatter(X[y==1], (y + jit)[y==1], s=26, alpha=0.75, color=\"#ff7f0e\", edgecolors='none', label='AE')\n", "\n", "ax.set_ylim(-0.05, 1.05)\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('P(AE | x)')\n", "\n", "if prior_r is None:\n", " ax.set_title('Constrained Bayesian fit (no regularization, prior on p)')\n", "else:\n", " ax.set_title(f'Constrained Bayesian fit (no regularization, prior on p and prior r{prior_r})')\n", "\n", "ax.grid(alpha=0.3)\n", "ax.legend(loc='lower right', frameon=False)\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 125, "id": "91b347f4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization success: True fval: 9.904629389469266\n", "theta (p,a,b,s,k,theta): (0.050209602209801966, 974.8472368285478, 536.4865711560959, 0.905754546976972, 199.147252129427, 0.007433282364699209) ratio(th): 0.9974400394683903\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_9060\\3435840632.py:35: RuntimeWarning: divide by zero encountered in log\n", " return (a - k) * np.log(x) - (a + b) * np.log1p(x / s) + x / th\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Constrained Bayesian fit (Gamma for NC, Beta-Prime for AE) — your priors, +3-panel plot\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "import scipy.io as io\n", "\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3] # 0=NC, 1=AE\n", "\n", "# Feature X = max SUV_94 per subject; label y = flags\n", "X = np.nanmax(suv[:, :, 94], axis=1).astype(float).ravel()\n", "y = np.asarray(flags, int).ravel()\n", "\n", "# Guard for logs\n", "X = np.clip(X, 1e-12, None)\n", "p_emp = float(y.mean())\n", "\n", "# Small helpers\n", "def logistic(z):\n", " z = np.clip(z, -60, 60)\n", " return 1.0 / (1.0 + np.exp(-z))\n", "\n", "def sigmoid(t):\n", " return 1.0 / (1.0 + np.exp(-t))\n", "\n", "def softplus(t):\n", " t = np.asarray(t, float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0.0)\n", "\n", "# dE(x) pieces for log-odds\n", "def dE_ess(x, a, b, s, k, th):\n", " x = np.asarray(x, float)\n", " return (a - k) * np.log(x) - (a + b) * np.log1p(x / s) + x / th\n", "\n", "def dE_const(a, b, s, k, th):\n", " return -(a * np.log(s)) - betaln(a, b) + k * np.log(th) + gammaln(k)\n", "\n", "def dE_full(x, a, b, s, k, th):\n", " return dE_ess(x, a, b, s, k, th) + dE_const(a, b, s, k, th)\n", "\n", "# Monotonicity cap for theta\n", "def theta_max(a, b, k, s, eps=1e-12):\n", " A = a - k\n", " if A <= 0:\n", " return np.inf\n", " r = np.sqrt(a + b) - np.sqrt(max(A, eps))\n", " if r <= 1e-12:\n", " return np.inf\n", " return s / (r * r)\n", "\n", "# φ = [p_raw, b_raw, s_raw, k_raw, d_raw, u_raw] (unconstrained)\n", "def unpack_phi_mono(phi):\n", " p_raw, b_raw, s_raw, k_raw, d_raw, u_raw = phi\n", " p = sigmoid(p_raw) # (0,1)\n", " b = softplus(b_raw) + 1e-6 # >0\n", " s = softplus(s_raw) + 1e-6 # >0\n", " k = softplus(k_raw) + 1e-6 # >0\n", " delta = softplus(d_raw) + 1e-6 # >0\n", " a = k + delta # enforce a > k\n", " th_cap = theta_max(a, b, k, s) # theta cap from monotonicity\n", " th = th_cap * sigmoid(u_raw) # 0 < theta <= th_cap\n", " return p, a, b, s, k, th\n", "\n", "# Prior on p \n", "TAU = 25.0 # shrink toward empirical AE rate\n", "alpha = max(TAU * p_emp, 1e-6)\n", "beta = max(TAU * (1.0 - p_emp), 1e-6)\n", "\n", "#prior_r = None\n", "prior_r = (1.1, 1.1)\n", "#prior_r = (3, 3)\n", "\n", "# Objective: negative log-posterior (likelihood + Beta prior on p)\n", "def neg_post_phi_mono(phi, X, y):\n", " p, a, b, s, k, th = unpack_phi_mono(phi)\n", " eps = 1e-12\n", "\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(X, a, b, s, k, th)\n", " px = logistic(L)\n", " nll = -np.sum(y * np.log(px + eps) + (1 - y) * np.log(1 - px + eps))\n", "\n", " # Beta(alpha, beta) prior on p → negative log-prior\n", " npr_p = -((alpha - 1) * np.log(p + eps) + (beta - 1) * np.log(1 - p + eps))\n", "\n", " if prior_r is None: \n", " return nll + npr_p\n", " \n", " # Prior on r = theta / theta_max (softly avoid boundaries)\n", " thcap = theta_max(a, b, k, s)\n", " if np.isfinite(thcap) and thcap > 0:\n", " r = np.clip(th / thcap, 1e-9, 1 - 1e-9)\n", " # Negative log Beta prior: -[(α-1)log r + (β-1)log(1-r)] (const dropped)\n", " npr_r = -((prior_r[0] -1) * np.log(r) + (prior_r[1]-1)* np.log(1.0 - r))\n", " else:\n", " npr_r = 0.0\n", "\n", " return nll + npr_p + npr_r\n", "\n", "# Initialization (stable, simple)\n", "def init_phi(X, y):\n", " X0 = X[y == 0]\n", " m0 = X0.mean() if X0.size else X.mean()\n", " v0 = X0.var() if X0.size else X.var()\n", " k0 = 2.0 if v0 <= 0 else max((m0**2)/(v0 + 1e-9), 1.5)\n", "\n", " X1 = X[y == 1]\n", " m1 = np.median(X1) if X1.size else np.median(X)\n", "\n", " p0 = np.clip(float(y.mean()), 1e-3, 1 - 1e-3)\n", " b0, s0 = 1.5, max(m1, 0.5)\n", "\n", " return np.array([\n", " np.log(p0 / (1 - p0)), # p_raw\n", " np.log(np.expm1(b0) + 1e-9), # b_raw\n", " np.log(np.expm1(s0) + 1e-9), # s_raw\n", " np.log(np.expm1(k0) + 1e-9), # k_raw\n", " np.log(np.expm1(1.0) + 1e-9), # d_raw (delta)\n", " -0.2 # u_raw (keeps theta a bit below cap initially)\n", " ], float)\n", "\n", "# Fit wrapper (one retry)\n", "def fit_bayes_mono(X, y, phi_start=None, rng=None):\n", " if rng is None:\n", " rng = np.random.default_rng(0)\n", " if phi_start is None:\n", " phi_start = init_phi(X, y)\n", "\n", " obj = lambda phi: neg_post_phi_mono(phi, X, y)\n", "\n", " res = optimize.minimize(\n", " obj, phi_start, method=\"L-BFGS-B\",\n", " options={\"maxiter\": 6000, \"ftol\": 1e-9}\n", " )\n", " if not (res.success and np.isfinite(res.fun)):\n", " phi_try = phi_start + rng.normal(0, 0.2, size=phi_start.shape)\n", " res = optimize.minimize(\n", " obj, phi_try, method=\"L-BFGS-B\",\n", " options={\"maxiter\": 6000, \"ftol\": 1e-9}\n", " )\n", " return unpack_phi_mono(res.x), res\n", "\n", "# prediction \n", "def P_with(theta, x):\n", " p, a, b, s, k, th = theta\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(x, a, b, s, k, th)\n", " return logistic(L)\n", "\n", "# === PDFs for distributions (for plotting) ===\n", "def gamma_pdf(x, k, th):\n", " x = np.asarray(x, float)\n", " return np.exp((k-1)*np.log(np.clip(x, 1e-300, None)) - x/th - k*np.log(th) - gammaln(k))\n", "\n", "def betaprime_pdf(x, a, b, s):\n", " x = np.asarray(x, float); xs = x/s\n", " return np.exp(-(np.log(s) + betaln(a,b)) + (a-1)*np.log(np.clip(xs,1e-300,None)) - (a+b)*np.log1p(xs))\n", "\n", "# ===== Fit =====\n", "theta_hat, res = fit_bayes_mono(X, y)\n", "print(\"Optimization success:\", res.success, \" fval:\", float(res.fun))\n", "\n", "(p,a,b,s,k,th) = theta_hat\n", "thcap = theta_max(a, b, k, s)\n", "print(\"theta (p,a,b,s,k,theta):\", tuple(float(t) for t in theta_hat), \"ratio(th):\", th/thcap)\n", "\n", "# ===== Grids and splits =====\n", "XMAX = 10.0\n", "xc = np.linspace(0.0, XMAX, 600) # decision curve\n", "xg = np.linspace(0.0, XMAX, 1200) # densities\n", "p_curve = P_with(theta_hat, xc)\n", "X_nc, X_ae = X[y==0], X[y==1]\n", "\n", "# ===== Make the 3-panel plot =====\n", "fig = plt.figure(figsize=(9, 9), dpi=140, constrained_layout=True)\n", "gs = fig.add_gridspec(3, 1, height_ratios=[1.0, 0.9, 0.9])\n", "\n", "# Top: decision curve\n", "ax = fig.add_subplot(gs[0, 0])\n", "rng_plot = np.random.default_rng(999)\n", "jit = (rng_plot.random(len(y)) - 0.5) * 0.06\n", "ax.plot(xc, p_curve, color=\"#000000\", lw=2.2, label=\"P(AE|x) (MAP)\")\n", "ax.scatter(X[y==0], (y + jit)[y==0], s=22, alpha=0.55, color=\"#2ca02c\", edgecolors='none', label='NC')\n", "ax.scatter(X[y==1], (y + jit)[y==1], s=26, alpha=0.75, color=\"#ff7f0e\", edgecolors='none', label='AE')\n", "ax.set(xlim=(0, XMAX), ylim=(-0.05, 1.05), xlabel='x', ylabel='P(AE | x)')\n", "title_core = 'Constrained Bayesian fit (prior on p'\n", "title_core += '; no r prior)' if prior_r is None else f'; r prior={prior_r})'\n", "ax.set_title(title_core)\n", "ax.grid(alpha=0.3); ax.legend(loc='lower right', frameon=False)\n", "\n", "# Middle: NC ~ Gamma\n", "ax2 = fig.add_subplot(gs[1, 0])\n", "ax2.hist(X_nc, bins='auto', density=True, color='#f1c27d', edgecolor='none', alpha=0.9, label='NC data')\n", "ax2.plot(xg, gamma_pdf(xg, k, th), color='#2c7ef7', lw=3, label=f'Gamma(k={k:.3g}, θ={th:.3g})')\n", "ax2.set(xlim=(0, XMAX), xlabel='x', ylabel='density', title='NC ~ Gamma (under fitted classifier)')\n", "ax2.grid(alpha=0.25); ax2.legend(frameon=False)\n", "\n", "# Bottom: AE ~ Beta-Prime\n", "ax3 = fig.add_subplot(gs[2, 0])\n", "ax3.hist(X_ae, bins='auto', density=True, color='#f1c27d', edgecolor='none', alpha=0.9, label='AE data')\n", "yg = betaprime_pdf(xg, a, b, s)\n", "ax3.plot(xg, yg, color='#2c7ef7', lw=3, label=f'Beta-Prime(a={a:.3g}, b={b:.3g}, s={s:.3g})')\n", "\n", "# auto log-y if curve is tiny relative to histogram\n", "h,_ = np.histogram(X_ae, bins='auto', density=True)\n", "if h.size:\n", " hmax = float(h.max()); cmax = float(yg.max())\n", " if hmax > 0 and cmax < 0.05*hmax:\n", " ax3.set_yscale('log'); ax3.set_ylim(bottom=max(cmax*0.1, 1e-8))\n", " ax3.text(0.02, 0.95, \"log scale (pdf tiny on linear axis)\", transform=ax3.transAxes,\n", " ha='left', va='top', fontsize=8, color='0.35')\n", "\n", "ax3.set(xlim=(0, XMAX), xlabel='x', ylabel='density', title='AE ~ Beta-Prime (under fitted classifier)')\n", "ax3.grid(alpha=0.25, which='both'); ax3.legend(frameon=False)\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 25, "id": "dade0608", "metadata": {}, "outputs": [], "source": [ "# Constrained Bayesian fit (Gamma for NC, Beta-Prime for AE)\n", "# Wald 95% band (numdifftools if available; else stable finite-diff) + distributions\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "import scipy.io as io\n", "\n", "# -------- try numdifftools; fall back gracefully --------\n", "try:\n", " import numdifftools as nd\n", " ND_OK = True\n", "except Exception:\n", " ND_OK = False\n", " print(\"[Info] numdifftools not available; using central-difference derivatives for Wald band.\")\n", "\n", "# ------------------ Load data ------------------\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3] # 0=NC, 1=AE\n", "\n", "# Feature X = max SUV_94 per subject; label y = flags\n", "X = np.nanmax(suv[:, :, 94], axis=1).astype(float).ravel()\n", "y = np.asarray(flags, int).ravel()\n", "X = np.clip(X, 1e-12, None)\n", "p_emp = float(y.mean())\n", "\n", "# ------------------ Helpers ------------------\n", "def logistic(z):\n", " z = np.clip(z, -60, 60)\n", " return 1.0 / (1.0 + np.exp(-z))\n", "\n", "def sigmoid(t): \n", " return 1.0 / (1.0 + np.exp(-t))\n", "\n", "def softplus(t):\n", " t = np.asarray(t, float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0.0)\n", "\n", "def _safelog(x):\n", " return np.log(np.clip(x, 1e-12, None))\n", "\n", "# dE(x) for log-odds (safe near 0)\n", "def dE_ess(x, a, b, s, k, th):\n", " x = np.asarray(np.clip(x, 1e-12, None), float)\n", " return (a - k) * _safelog(x) - (a + b) * np.log1p(x / s) + x / th\n", "\n", "def dE_const(a, b, s, k, th):\n", " return -(a * _safelog(s)) - betaln(a, b) + k * _safelog(th) + gammaln(k)\n", "\n", "def dE_full(x, a, b, s, k, th):\n", " return dE_ess(x, a, b, s, k, th) + dE_const(a, b, s, k, th)\n", "\n", "# monotonicity cap\n", "def theta_max(a, b, k, s, eps=1e-12):\n", " A = a - k\n", " if A <= 0: return np.inf\n", " r = np.sqrt(a + b) - np.sqrt(max(A, eps))\n", " if r <= 1e-12: return np.inf\n", " return s / (r * r)\n", "\n", "# φ = [p_raw, b_raw, s_raw, k_raw, d_raw, u_raw] (unconstrained)\n", "def unpack_phi_mono(phi):\n", " p_raw, b_raw, s_raw, k_raw, d_raw, u_raw = phi\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "71e7af62", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization success: True fval: 9.904629389469266\n", "theta (p,a,b,s,k,theta): (0.050209602209801966, 974.8472368285478, 536.4865711560959, 0.905754546976972, 199.147252129427, 0.007433282364699209) ratio(th): 0.9974400394683903\n" ] }, { "data": { "image/png": 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L61rTNdS/f3/r0qWLO246p9V2hfWqiE7r/U5DJWgoBZ0Der9LPuGNXm+9Fqqw/uWXX9J8HQAAeZgPAAD4OnXq5NP/Fp9//nnfqlWrfAUKFHB/jxkzJmC7devWueW6LV++PGn54cOHfcWLF3fLX375ZV8sGzp0qHseCQkJvs2bN2dpXz169HD7Klq0qK927dq+li1b+qpVq5Z0DHXcDxw4kOJ+vXv3duvvvvtuX/369V1bmjRp4qtZs6YvLi7OrTvnnHN8R48e9fXq1cv9rf03atTIly9fPvd35cqVfVu2bEmxb+/xX3nlFdcu3Zo3b+4rX758UrteffVV99wbNGjgHrtx48YBj929e/egz7dMmTJufenSpX0nnnii76STTvKVK1cuab8PP/xwho/h6tWrk16P3bt3B92mb9++bhsdt1C85z127Nig97388st9Xbt2TTqWOt7edVCoUCHftGnTUuxz//79vtNOOy3p+dWoUcMdy4IFC7r76HrScj12sPt654duOk7NmjVzx05/61gHu5a89vbs2dPXpk0b93utWrV8LVq0cNdgWtq3b+9u3uPqft6yZ599Nmm7YNe5tqlSpYpbftxxxyXdz7vJRRdd5KtTp47bRu1Jvo3eQzx///237/jjj3fbJiYmuufRsGFDX/78+d2yihUr+ubMmZPiOahNXjvi4+Pdea/zTcdM5+mdd96Z5vkQzJEjR3w333xz0nMvVqyYez3r1q3rXlMt0/EP9t7Zv3//gOW7du1Keh312uoa0jlVqlSppOXvvfde0PNdz9s7JvXq1XPvG7qedQ1o+ejRowPee7026Fa9enW3vY6l1+bHHnss4DHUVu/9x/Pxxx+n+vp6r1tq19rWrVt9J598clJbKlWq5M5pHUf9rfemwYMHh3y/u/322921p2Oj9z29f+hncnfccYfb/q677krjFQUA5GUEfgAAJAv85N5773V/t2rVKl2B319//ZW0fMaMGb5Y5oUF+nCeVcOHD/f98ccfLpjzN3/+/KSwxjvmwT4A6wNyu3btXAjg+eWXX1wQoPUKjCpUqOCbNGlS0volS5b4qlatGvSDvn/wpX0r3NizZ0/Suj59+iQFlN26dUvx2CNGjEh6bP/QwfPRRx/5li5dmmK5tlWAoPtNmTLFlxGff/65u59CnVDCEfjpeCgs+fPPP5PWbdq0yR0Dre/YsWOKfT7++ONJwdDIkSMDgo+zzz47KXwNFvjdcsstbp2CqokTJwasGzRokK9w4cIu+Bg3blzQ9ir80es8ffr0pHV79+71pVew6zg969NzrIMFSskpjFaIpe1uuOEG38aNG5PWbd++3XfVVVe5dQrbDh06FHDfDh06JB27xYsXJy3/559/XGDkHfeMBn7ec1PQqzDu4MGDSevUhm+//db3/fffpyvwU5D/wQcf+NauXRuwXAHdl19+6V5ftVNfsPhTiKX9denSJeCYyI4dO9zj6P3DozZpewWns2bNCthebf7555/ddZve1yet1ze19WeeeaZbp9fHP6hVkPraa6+5cFYh5MKFC4O+33lfbCxatCjVc1rXR7jeowEAuRddegEACELdOIsXL+5maNREHGnRhBYedT2NJvv378/QWE/ec1FXx6xSF1R1b03e1bJevXr22Wefud/9u9Amp/EUhwwZYpUrV05a1q1bNzfovui1UddgdfXzaPbjBx980P3+008/hdy32vDOO+8EjNWlyUk0O6e6Nas7ZvLH1oQs6m4aat8auzHY63/aaafZs88+m+bzDWb58uXuZ3aP96iuuZrEQF1LPeqS+NZbb7nf1QVT3Q09mn1ax16efvpp69q1a9I6dQUePHiw62YbjLpSqxu2rjEdx+TdxtX9UftU7qZZdEN1ndRjtGjRImmZukDGCnVB1bWma0RjNKrLq0fdUjVGm7rC6lip27NHr4M3Qc6gQYOsdu3aAUMSqLuqXsuMUvdh71i/9957rou+/wzFGjtS5/4555yTrv2pK+uNN97orqfk1/Qll1xi99xzj2vnF198EbDem8hI3ZP9j4nofFH3V127ybfXJEPqwutPbT7zzDPddZvdNDu7ujCrG7S67zds2DBpncbc0+RG6l6s9+PXX3896D50bDT7s4YQSO2c9o6p994AAEAwBH4AAARRpkwZNxabaMwohQup0VhvnlAhRzgsXbrUjW2lD/Ya10rj1bVt29YFlAqo/MfEU8inQEBjq2nW4PTynktqz0NBUPKxyXTT2FvBggQFQ1dccYUbs/Dkk0+2Dh06JI2BpUDDGyg/OX1Q15hVyXmhlIIlfdBPzguBUhtv7LrrrnMfxJMHBF5oEOqx09q3JjDROG89evRwYxfquer2xhtvuPWapTkjNFab6LXOTnreem2SU+iksdcUvun88yh00rmiQEJBZ3I6f4Itl6+//tqOHj3qwhiN7RiMjp9ozMFg15+uAf+gN9Zo1mUJNvalF/54YzZq4hzPzz//7H527NjRTQCUnMLTli1bZrg92q/CKAXLvXv3tnDRlyYaD1VhocbM864HTYwU7HrwzgedI6HG+Ay2/ejRo5OulUi+nhoTNNjsvv7ntP/r6U/j/iUfsy/U/59E1x8TdwAAQmGaNwAAQlAFiibfUAWJqmYUEIWiyhOPqsNCfeDLClWbaUIRVcWowkMBjT7g/vHHHzZ16lR7/vnnXfiiCjdV5ihI0+QS+kDs3760eNvqeaQ24YgmGxB94Pzzzz+DbqcP7ZrAILV9KUjSRAPBKtj8q5f8aUB+0XNNbX1qj5vWvtNaH2zfmtRAE1gc6xEa3JYtWywjvDBUAW92OuGEE4IuV5Cr57x69WrbtWtXisoqBRRFihQJel+FzcF4kxdMmTLFhT/BeMdQz1/HzDvuae07Fqg60guMVVX6zDPPBN3Om5xCxz75cU/t+Wvd9OnTM9Qmb5IVXdvJg/DM0KzS1157bVIlb3qvh7vuustVmurLClXMqXJUwa7OE02qk7xaWEGiJriYN2+eC+gVsiu41n30ZYjC6pzgndOqxvQqMJNToJr89czMOe3/XqDrI6eeIwAgthD4AQAQgkIMfRjXLJOaPVHdDEPx7/a5bNkyN4tiuCnAO/fcc121jH+3S1XQqTuZKlz0QVNBgrrTqTJL1SYKKjMSFnnBW2rdxX788cek3zV7ZbDuv1quqj4FgurCd+edd7queOquqEo6VXipiklCdUEMFSR5H/rTWp+arO47eainQFZdIhWW9OnTxy688EJ3XLQfLRszZoyr4Mlod0tVU0o4Zl9NTajnK14A5P+cvfBPs+qGEmrdtm3b3M9Vq1a5W1qCzYqcWnujnReWS6iwPNTzz8pxT09lb7i+rHjllVdc2Kf3Hn0Zoa746u6qLvS6htRlWe9Nya8HzcyrLzBUJatZaNVtWzfRlxd6/7vpppuStteXHOrmrJmOdQ3qPt7stfry4oYbbnDr/LvuZwfvnF68eLG7pSZURXN6z2nvvUBf7Oj9FACAYOjSCwBAKjQGlcZk01hbqvYLRdV2XmWcgp3soMoXVcz5h32iyqfLLrvM+vfv7z5o6sOkxlpT+KcxozJaGeZ165w7d26Gq9H86cO3wj6N4acP7OpqqK5oCvskK/uORqoCFXW5VkCsc6JYsWJJYVlmn68X3qR2/1AhZPKqsnDSc/OvQgsm1Dqvu7iC0f9NIpfqLT3dHGOJf3d5fUGQ1vNXt+ZwHPfUeO9f/mFkOK4HBX8av05dsBVoeedqauezKvlUKae2TJo0yQXpev9YuXKl6wKtMQb9aaw/jTWpLz/0vqXxIRW4Kyh99dVXXZVxTr2mCjLTc05nhRf46Xmn58sNAEDeROAHAEAqVEGhyQNEVSr+kxb4U6Var1693O/vv/9+toyrlB3dhIPR2HUaG0/jpr377ruZ3o9XIaiueMG6CKqKJzfxnq/GVgsms8/XqxZVl8VQvMqgUEGPqo82b95s4eRNnKBKzmAVeKm1uVGjRu7n7NmzLdakJ2BJaxtVZXnjQ2b0GHjHXWNFhpLauRKKN3alzlNV30bD9aBKZXXN1SQ8+gLj/vvvd8tDvS/puKtbrL6o0YQ+mgBDNF5gdn/BkJPntNf92n/CGgAAkiPwAwAgDeoWq4oTVVVofLZQNH6bghdNbKBuwGlVcWjsPXXFjTaqIHrooYfc7xpbbMKECZnaj9eFLtiEITo2qvzJTVJ7vhpr0at4yihVSGrfOv8WLVoUdBtvVk9NgBAsbM5KcBuKglydK6oo/fjjj1Os1xiHwZaLJlpROKMZelMLrqL5dQ4VcqZ3G3Vz92brTWtSIH+a6EQ0SU+wcEnjImZ0/D7p3r276x67du3aNMfdy+r1oHEINZNtRnmzOauNGdk+I/fJLO/11PiDmamwzAgvLNV4hQAAhELgBwBAGhRMqLpPBg4cGHI7jdem7lyqZuvXr58bs0qhXvLgT9UZGoNKgYm6CkcjzVCs8QI1S6Zm1tVMxcHaqvHXknev83Tq1Mn9/Oqrr1yw4z8GmWZv1eyduYn3fJ977rmAYE6VTmeffXaq4U9aVU4a+88LeYI59dRTXdisLo167fwDJM0eqjapWjWc9Hh33HGH+11jXfqH1+qKqfEb/Sf5SF4NpXNA47dpUgaNCZn8Ovn3339dUPnCCy9YNPEmc9G1HWpSGG8bVdoFm7laFKpr8h0F6pq9VV17/el4KLhTd1j/AE8Vc97sxDrG/vfTOJ+a/Tozr7W6h+pLC1G32Y8++shNvOHR79999126gzrvetAM4v6hnya3OOecc5LG70xO1XkKHJN3LdZxfO2119zv/rMQKzDVFzHq7utP15u61nsVlV4onl10jetcVjCvIC7YxB16rdRW/f8hs3RtT548OSmkBQAgFAI/AADSWVWjD9ppVeKoykPhVoUKFdwkGprxUh+k1S1TY+9pvD11nfvwww/dcg1QH40UWqpLnMaj03N+9tlnXRdEDbqvD9utW7d2AafGVtMHWM0Sed9997kx+jw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2AAAAAAAgvAj8gDRWtNqstLzu6byyVqeACj8CPwAAAAAAUgqBH5DGlpb4h3V+4V6PgMBvKYEfAAAAAAAphcAPSGPLV/qHdd06ZPlO8832yfwWFzfHyAAAAAAAQHMh8APS2LKV/tsV7sXKzcmy7jGNPLw1/LQWIAAAAAAASA0EfkAaWxYwpbdbR//pu37TessqzIpKEz40AAAAAADQTAj8gDS2LGBKb1efKb21reNHp14AAAAgs3zxxReWk5Njjz76aPW2uXPnWlZWlo0fPz6pY0tFq1atsrPPPtvWW289a9eunW2xxRZ29913J3tY8PHDDz9Ybm6u3XXXXZbKCPyANLY8YEpvN5+pu0KnXgAAAKSrGTNm2IknnmibbbaZde7c2Vq3bm09e/a03XbbzW688UZbsmRJsocYKmeccYZtsskmdthhhyV1HLfffrsdc8wxNmjQIBfCKHB85513ar3Nq6++aqNGjbL8/PzqcO2mm26yyspK3/1/+eUXO+GEE1wYp+Oid+/e7jEXLFiQkOdQVlbmxqPj7E9/+pP97W9/s1atWrnj8cwzz7Tm8tprr9mIESOsU6dO7pjfZZdd7K233mrw/RQVFbnjoW/fvtamTRvr16+fCy9LSkp896+qqnLvm153vf49evSwww8/3H7++ee4fS+99FL3ntZ2OfbYY2sd39SpU104rX2vueaauOunT59u48aNs4EDB1rXrl2tbdu2tsEGG9iYMWPs008/jdt/4403duO97LLLrLg4dRe1z032AAC0/JTehlf4JXRYAAAAQItR+HDOOee4sEWhwE477WSjR4+2Dh062OLFi11YcNZZZ9kll1ziKnvWWWcdy3Rvv/22C9Xuv/9+y85Obp2QwjHp1auXC44WLVpU6/633XabnXbaaS7gOvDAA13o9+abb7pgTe/1U089VWP/2bNn2/bbb++OBR0XCoF++ukne+ihh+zll1+2jz76yNZff/0mPQeFjXrsW265xY1NrrzySjc+XXfIIYfY0KFDLZEeeeQRO/roo91r5lVkPvHEEy7gfvLJJ+3ggw+u1/2sXLnShYYKzPX6KAhT9ecNN9xg7777rr333nsuQIum8PS+++6zzTff3L1/v/76q3vM119/3aZNm2Ybbrhh9b4777xz4GPrPhYuXGi77757rZWTCvMULGqsft5//31744033Gs8cuRIa9++vQsfX3jhBXc86L3WaxVNnxl6DXU8XXjhhZaSIki4oUOHRrbZZptkDwOIHHFPaWTgpNVxl+UlVb77P/VJue/+D7xfHkknK1ascBcA4cP5CYQb5yhS0Xnnnaffgke23nrryE8//eS7z2effRYZNWpU4PWZdo4efPDBkXbt2kUKCwtrbJ8zZ457LceNGxdpKS+++GLkt99+c38+4YQT3ONPmTLFd9+FCxdG2rRpE+nSpUtk7ty51dvLy8sj++23n7vtY489VuM2e+21l9t+66231tj+5JNPuu277757k8ZfVVUV6d27d6R///6RysrKGtf9+OOP7jEOP/zwSCItX748kp+fH+nevXtkwYIF1dv1Z23TpaioqF73NWnSJDfGc889t8Z2/V3br7rqqhrb3377bbd9p512ipSVlVVvf/nll9320aNH1+txFy1aFMnNzY1069atxv3EOuWUUyJ5eXmRv//97+7+r7766rh9Vq9e7Xvbr7/+OtK2bdvIWmut5d6nWIMGDYr07ds37n1rCmVFyoxaAlN6gQzr0puTbZbXzn//rgHNPILWAgQAAADC7Mcff7Trr7/eVTlpmqem8fnZeuutXQWQpipGe+CBB2y//fZz21XFpOmAqjaaMmVK3H2oIk5TCjVFUVVhmj6pqZR67JNPPtlWr17t9nvppZds2LBhrsJw7bXXdpVEFRUVNe7rwQcfdPeln//9739tu+22c1VJqj68+OKLXdWiqDJpyy23dNVNmo6qaqRYqq5S9aKqm9Zaa63qKZkak6raYq1YscKef/559zxVJVcfa9assUMPPdSNWc8nEknc94e99trLTb2uj1deecVNnz3uuOPc9FOPpgJreqb84x//qN5eWlrqpr3qfTj11FNr3Jeq7gYPHuyu95uKWl9ffvmlew/22GOPuGpJVbrpvdC4E0lVawUFBe459enTp3q7/nzKKafY0qVL7T//+U+d96P3UVV2HTt2dMddNP1d23V9tHvvvdf9vOKKK9z0aI+ev6r5VOU3f/78Oh9bx7bOC1XeRd9PNJ2Hd955p6uSrK0yt21MBaJHU3w33XRTdx5o2nIsHdPz5s3zPd9TAVN6gTS23Ceo69LeLDs7q0FTff3uBwAAAKlpn9vLrHBV6vz7Lq99lv331DaNuq1CA63bpimGCt7qomAo2l//+lcXqGn9Nd1e0wufe+459/dnn33WhYF+64Vde+21LjDT4yosUMikQGGfffZx0yt1O4V+Cv8USCo4mTRpUtx9KZRRQLL//vvb8OHD3f5///vfXRCTl5fn/qz7UpDyzDPPuGBPoZ7WhvNoyqWmM++6664uONTacZqSqTEpzPr888/dfUXvX15eXu8pplrjTOPT89TjaK23ZPGm+/bv3z/uOm+bwliFggo+ly1b5kIlhYMKK/1uo6msem4DBgxo1Ji+/vpr91Pr2fnRdoW6WkcwOpxrCm+NQ03BjaXjUqG0puOOHTu21vvR1GaFlbqNAupo+ruOSR1DWutw3XXXrX5s7zq/x9b1euzYKbSxNJ1cFN4GHXdaZ1HPccKECS4cb6jZs2e7afwae/Q54NE5Klr3UOdPqiHwA9LUqjURW72m/qGedKv5GV5n8w8AAACkHoV9K1ZZCml8OKl100TVdo3x7bffxoVHv/32mw0ZMsQ1LfAL/FRJqFDQu07hmfZXt1uFIwrUttlmG3edqs5UdXjrrbfa+eef78K4aKr8+vDDD+P2v/nmm131nYI7L4jSOoS6Ts0SogM/rVmmIEyhYrSHH37YrX12xx131FijTI8nai5Rl99//91Vbs2cOdPd31FHHVXjeoU7dTXYiKZqt6Z0AO7evbv7OWfOnLjrvG0K+FSxp8quLl26uHUdVcWlEDU29PNuo0rRxtJrJAoN/dYfVKDm7ecFfk193RTUSfRaeR5vm7dPbWq7H2+7jmntp9BMa+jp/FDlnF7Xxj621tzTa67QWesA+pk4caKrRvUqCuvj448/dusy6pzUe641/OSf//yn7/46b6PPiVRD4AekqaCqvG4B03bddQFhYFDzDwAAACDMvIBFXVdj+YUqqpSLbiLgVymm5hEHHXSQC9YUGkRPHfXCxeggUCGeGiR89dVXrsLPC+9EU3733ntvN3VYFV6xj6cALWj/c889t0bVmQIXBSQKJxRqedWKqvjzoworTflUQ4vowE/jEE1zras6ShVbCngUnPz5z3+O20evrzeVtj7UHKIpgZ+qvRQ0qTpMz82rOtPrET0OTXcVTZNWExeFcXfddZer6PSoglPVfdH7N4Y3lVtNK+qzXyJet8LCQvfTr2rNm6bt7VOb2u7H774aun9jq/sUhGufu+++u/o9rm/gd1nU66pjXEG1XyWkN15NB/bOiVTDGn5AmgqqyusaUMUn7VqbtW3ld18EfgAAAEgvXqgSfYkNAFUJdvzxx7surfrirwowXRT2RVdnRdO6b34hYV3XJeK+FGBoCrNXVRYdXimc07RkBYF6DlpPTtOMYx9X01xF3W2DfP/9927KpoIwdfT1C/tEU0dVOVffS0Oq2vwoML3gggts+fLlbqqspnqqEkxrNGqcWudQotfSU7Wkqh+1tp2eh9YgVPdcreE3aNCguP0bSusryr/+9S/f56wxeuFjsl63MNExqTUI9Z6oY3IsVfUpCNQU27/85S8Nuu9TTjnFvV7q7Ku1FfV+q0JVHYeDaN1OrXmYiqjwA9JUUFVeUBWf6H/8un5hQSQuPPQrcQcAAADCTAHYd99950KtTTbZpMZ1ClV0kccff9wOP/zwGtfPmjXLtt12WxdAqGpP1Xmq+FH4461DprXgYvk1uvCq7Wq7TtMMm+O+tK6epvsq7FMlk6aNeiHULbfcEvccvOvU0CKIplsqeNl+++3d9M0wufzyy22jjTZyoazeV70mO+ywgz322GN22GGHxVU9ao3GTz75xK1/qEo/XTQ1WtVjCjQ1dTuoSrI+vIYjWnPOj1ftVldFZUN4FXa6727dutW4zmtOEVSFF3Q/fmLvq6H7+9F7pkDu2GOPjZuGLlojUvcf2yykIdq1a+fCXK37t2TJElctq/DP71hW5WV0GJtKCPyANBVUlVfbGn5/XG+2MKZivaLKrKg0uLsvAAAALKWaYDRlXbzkjLdxFEgpnFOIo7XsGkKVXwq1VJkVuzad1shT4Bd2msqqbqmqCtT01OjgSr/Qv+666+Ju4zU3UZVckH333ddV0ykw3XPPPd26aLFNHZKxhp9H71fse6ZgU2vHKQCLnTqtMPiJJ56Iux9vLN5abo3hNesI6vSrMWktwegus0193bRW3qefflr9fGMfz9unLnWtuRd7XzoGdKxp7UNVmsau41efx/aCvKDpvFq3UmsF+k23F62Fqctpp53mAu26KATX8at1A2MDP3XDVrgYtI5g2BH4AWlqWYn/9m7xvyTxCQQjvhWDee2o8AMAAEh1je14m4rUlOKaa66xe+65xwUAXlOH+tAadRLbmENBWaos4q+piAosNP0xtkpNgVD0unGxAZW6l6qrbxBVxCnQufjii920SIUmsRVZLb2GX22efvppF/qpcqw+VJGn7rkKzHbbbbdGP64qybSG5BtvvBF3ndaGU8MTr/IwUa+b/q6KRnV4ju22rCYb3j51UTCnset4V8gWHerq79qu4C16HT3dr6r0dJ3WR/R77Njt0R2NVW2pgC2oS7SmW/sFsAoTvYY4es2H/a/Dbl28Ke2xDXO8+1ToF9RhOexYww9IU42v8PO/nk69AAAASDWa2qk12RYvXuxCKU3T9ePXlMFrxvHBBx/U2K4AUSFNKlDIp+mLn3/+uZsm6VHloppa+PGCoOnTp9d5/xdddJFdeeWVrjpKr29JSc2qg2SsRedNG42mad1nnnmmmwZ93nnn1bhOoacqIaN5waCqHCdNmuTWb4ymxi5a7qg+49V+f/vb39yacdHTUBUkaXqqfiqMTuTrduihh7pps5rWHN1wQn9WV2YF3wcccECN28yfP9+tzRh9nGjsqrTT+6pK0Wj6u7Zrjcto3rp6CoLXrFlTo9GGxqmKuthGN7HNOmoLZfV+6HWMvRxzzDHVgaD+PiZq/T+F235U9aoOvQr7Ro0aFXe9dw7UJxwNIyr8gDS1rBFdev+43n87jTsAAACQihRIKXi46aab3NRNVRdp3Taty6UgUN1z1b1T1WnRjTA0bXfy5MmuI68CFFV6TZs2zYVne+21l7300ksWdlpv8OSTT3br+Ok5ax1CBWIKXxS6+HUvVnWUuv/6VaT5UZMMPY6mUWodtFdffdV37bXGUsCqIEqmTp1avU3rr8n+++/vLh4Fe3qPVOmlhguq0lKlnsb43HPPxXV1/eyzz1xIpCo+XafXR++tAjCFWX7BqEK66DUT66LGIepkrDBMlZAKot966y0XRGmNQK0VmUiaIqxgT52Y1bDEC780bVlNWfRTHZ+jjR071k1T1/T36E7VCsyff/55u/baa910Wt2fXl9VD+o1Pv3002vcj9a7VEio0E376lxRJ2c9pt4Pr+FNLJ2jjzzyiLVu3dqNJZEOPvhg91796U9/co1b9FiqYNUxrsD01ltvddOiY+l63U6dsVMRgR+QpoIq8mpr2lFbhV9QExAAAAAgzBT0KPDSmm6q5tG0P00bVBWXAghNH7z++utdyBA97XWrrbZyoYaq2NTlVtNXtSagpioqvEmFwE+uvvpq9zwVkN11112uOYQalKiKzK9Jgaq6TjjhBNfIQEFofcIoVc3pddZt1A1YoV9soNRYuq/Y9RK9qaGioCY68FMFmQJCdXrVtFw1zTjyyCNdMKluy7EUACngUpWiuhsrCFZQpYBYYW8sBUTffPONe9ygaaexFGIpPNI0aE13VeinxiA6HvVaNwcd76rku+qqq1xwrfdVgZeOZ79qtiCaxqvXX8fLM8884wJBrdOnYFXPx2vyEk0NTzQNVlPpFaYpAFZFocJ3v/dAFMYqjPTC9US64IIL7MUXX3SBvcJfBbZ6DkcccYTr3Os3dV2VjhqTwj6/YDwVZEV0tCKhNFdcC1TqwxFIlv3vKLPZS+JP788ubmOtc4NDv5e+qrTznonvEHbiiBz768j4dQ1SkTdlIz8/P9lDARCD8xMIN85RIDPOUU1lVZXfIYccYvfee2+CRpceNJ1bYdadd97pqieRnu677z5X4amwM2jNwcZQgK5fHnjVqs2JNfyANOU3BbdTW6s17Kt9Sm+iRgYAAAAgzFQRqCm6Dz30kM2bNy/ZwwkVVQKqSnLChAnJHgqaSUVFhauMVDfqRIZ9LY0pvUAaqqiMWMHqhk/nrXVKL2v4AQAAABlDjSQ07Vlr2QU1WchEJ510krsgfc2fP99N8dcaiKmMwA9IQ4WrtbZE/PYu/99FvRFdegn8AAAAgEyhzrTqiApkmgEDBrg1C1MdU3qBNFS42j+cy2tXd4Vffjst1Bu/nSm9AAAAAACkBgI/IA0VrPLfnt++7sAvNyfLurSP306FHwAAAAAAqYHAD0hDBQEVfqreqw+/ab3FpWZl5YR+AAAAAACEHYEfkIYKVwVM6a1HhV9t6/itCKgcBAAAAAAA4UHgB6Rp046mVfj5b6dTLwAAAAAA4ZeRgV9paamdccYZttNOO1nv3r1d96GePXva8OHDbfLkyVZeXp7sIQJNUtDECr9uARV+y0oI/AAAAAAACLuMDPxKSkrsH//4h2VlZdlee+3lwr8DDjjAFi5caBMmTLC9997bqqqqkj1MoNEKmljh1yUg8AtqBgIAAAAAAMIj1zJQ165drbCw0Fq3bl1je0VFhe222272+uuv2yuvvOLCQCAT1/Dz69IrKwLuFwAAAAAAhEdGVvhlZ2fHhX2Sm5vrKv1k1qxZSRgZ0NxdeusX+OUHBINBQSIAAAAAAAiPjAz8gmga76uvvur+PHDgwGQPB2i0oKm3+QGVe/Xdjy69AAAAAACEX0ZO6fWsWbPGrrrqKotEIrZs2TJ766237Pvvv7djjjnGdt111zpvP2zYMN/tM2fOtI022sgKCgqaYdRA3VasbGNmNav02rWK2KqSQqtPZpdTqdvqPmpaUrjGCgpWWqorLi5O9hAABOD8BMKNcxQIN85RINwqKystJyenRR4r4wO/yy67rPrvauJx1lln2dVXX53UcQFNEYmYFZXGb+/ctv73kdfWf+puYWn9pgQDAAAAAIDkyejAr2PHjq66T1N5f/31V/vvf/9rF1xwgU2dOtVefvll69y5c623135BlX9KbfPz85tp5ECwVWsiVl5ZFre9S4fseh+THToq8Iu/j5I1OWl1XKfTcwHSDecnEG6co0C4cY4C4dRS1X3CGn7/a+LRp08fO+mkk+yee+6xDz/80K688spkDwtolMKAObv17dArrXKzrEP8jF669AIAAAAAkAII/GKMHj3a/XznnXeSPRQgwR16G3Y/fh19FSaqKhYAAAAAAIQXgV8MTe2VVq1aJXsoQKMUBFTh5Tegwu+P/eO3VVSZlcTP9AUAAAAAACGSkYHft99+a6tWxc971LYzzjjD/XnPPfdMwsiApitc7b89r6EVfgEBYVCgCAAAAAAAwiEjm3Y8+eSTdtNNN9kOO+xg/fr1c805Fi5caK+88ootW7bMdtxxR5s4cWKyhwmErsLvj/s3W7drY0YGAAAAAABaQkYGfnvvvbebuvvRRx+5TrslJSWWl5dngwYNssMOO8wmTJhgubkZ+dIgDSiQ85PnsyZfbboEBIQ07gAAAAAAINwyMtUaMmSIuwDpqDCoaUdAxV7Dp/Q2ZlQAAAAAAKClZOQafkAmBn4NrfAL6urLGn4AAAAAAIQbgR+QZoIq8Bpc4deBph0AAAAAAKQiAj8gU6b0NngNP//tK5jSCwAAAABAqBH4ARlQ4ZeVZdapbcPuJ2gKcFCgCAAAAAAAwoHAD0gzBT6BXOe2ZtnZdOkFAAAAACATEPgBaaSqKmLFpfXvuFuboDX/6NILAAAAAEC4EfgBaaS4zCziU4CXF9Bxtzatc7Osfev47TTtAAAAAAAg3Aj8gDRSFLC+Xqe2Da/wC5rWqwq/iF+qCAAAAAAAQoHAD0gjRT7Teb01/BrDb1pvRZVZSVnj7g8AAAAAADQ/Aj8gAyr8Ogd03K1L0Np/TOsFAAAAACC8CPyANNISFX5C4w4AAAAAAMKLwA9IIwmv8Au43Qoq/AAAAAAACC0CPyCNFK1ObIVfXsCU3sKAxwEAAAAAAMlH4AekkaLSRFf4+W8vpMIPAAAAAIDQIvADMqHCLyC4a3TTjoCpwwAAAAAAIPkI/IBMqPBr27gKvzyadgAAAAAAkHII/ICMqPBLbNOOQir8AAAAAAAILQI/ICMq/BI8pZcKPwAAAAAAQovAD0jzCr+cbLMObSyxTTuo8AMAAAAAILQI/IA0r/Dr1NYsK6txU3rbtTZrlRO/vYAuvQAAAAAAhBaBH5AmqqoiVlyauIYdoqAw36dxR0HAWoEAAAAAACD5CPyANFFSZhbxKbzrHDAtt77yfBp3rF5jtqaCKj8AAAAAAMKIwA9I+4Ydja/wE78KP6FxBwAAAAAA4UTgB6Rxw45EVPjl+1T4SQGNOwAAAAAACCUCPyBNNFeFX157/9sX0rgDAAAAAIBQIvAD0kTzVfj5b6dxBwAAAAAA4UTgB6SJotXNVOEXNKWXCj8AAAAAAEKJwA9IE0WlzVThF9C0o5CmHQAAAAAAhBKBH5DuFX4BFXpNXcOPph0AAAAAAIQTgR+Q7hV+bZupSy8VfgAAAAAAhBKBH5AmmqvCL3BKLxV+AAAAAACEEoEfkCaaq8KPph0AAAAAAKQWAj8gTTTbGn4BTT8KVzfpbgEAAAAAQDMh8APSuMIvO8usQ+um3W9uTpZ18qkSZEovAAAAAADhROAHpHGFn4K6bKV+lvhpvarwi0QI/QAAAAAACBsCPyANVFVFrLg08dN5a2vcUVllvo8JAAAAAACSK5SB30knnWRffPFFsocBpIyVa8yqIolv2FFX4w6m9QIAAAAAED6hDPzuvvtuGzJkiLvoz8XFxckeEpCRDTtqq/CTglUJuXsAAAAAAJDugd+bb75phx56qH3zzTd28sknW+/eve3YY4+1adOmJXtoQMo07EhkhV9+QHBYQIUfAAAAAAChE8rAb+TIkfbYY4/Zr7/+ajfddJP179/fJk+ebMOHD7eBAwfabbfdZitWrEj2MIHQKC5t3gq/vPYBgR8VfgAAAAAAhE4oAz9Ply5d7LTTTrOvvvrKpk6dahMmTLAFCxbYxIkTbZ111rGjjjrK3n333WQPE0i6otXNXeHnv71wFRV+AAAAAACETagDv2jbbbed3Xvvvfb8889br169rLS01B599FFXDbj55pvbU089lewhAmm8hh9TegEAAAAASBUpEfgVFRXZXXfdZVtvvbXtuuuubqrvjjvuaPfdd5/r6Kuqv8MOO8yuu+66ZA8VSMs1/PJo2gEAAAAAQMoIdeD3/vvv27hx41xF3ymnnGJz5861U0891TXz0FReTfG94447bPbs2W5tv9tvvz3ZQwbSssIvL+B+CqnwAwAAAAAgdHIthG644Qa7//777ccff7RIJGJDhw61E044wcaMGWNt28aXLPXo0cMOPvhgu/TSS5MyXiC0FX4Ba+8lag0/KvwAAAAAAAifUAZ+55xzjnXu3NlOPPFEd9liiy3qvM2f/vQnGzt2bIuMD0iZCr+2zbuGHxV+AAAAAACETygDPzXnOPzww619+4CFw3zsueee7gJkouau8Gvf2iw3x6yisub2Arr0AgAAAAAQOqFcw69Vq1Y2a9asWveZOXOmPfzwwy02JiCTK/yysrJ8p/UWrE7I3QMAAAAAgHQP/I455hh77rnnat3n+eefd/sB8K/wy8oy69gmcY/hN6139RqzNRVU+QEAAAAAECahDPzUqKMulZWVlp0dyuEDoajw69TWLDs7MRV+kkfjDgAAAAAAUkLKJmZffPGFde3aNdnDAEIRkPtV+CVqOm9djTsKaNwBAAAAAECohKZpx8iRI2v8/cEHH7R33nnHt7Lvl19+sblz59qhhx7agiMEwmnVGrPKKvOt8Euk/HZBnXoT+zgAAAAAACBNAr/ocE8NAhTo6RJL03hV2XfIIYfYLbfc0sKjBMKnKCBw6xwQ0DVWXkDT7EI69QIAAAAAECqhCfyqqqpqhHqXXnqpTZo0KaljAlJBUWlQh96WqfArIPADAAAAACBUQhP4RZsyZYr169cv2cMAUrZhR3NU+OUHVPgVMKUXAAAAAIBQCWXgN2LEiGQPAUgZfg07mqPCLy+gaQdTegEAAAAACJdQBH4PP/yw+3nAAQdYp06dqv9eH2PHjm3GkQHh12IVfkFTeqnwAwAAAAAgVEIR+I0fP9416hg6dKgL/Ly/1yYSibh9CPyQ6QKbdiR6Db+gKb1U+AEAAAAAECqhCPweeOABF9716tXL/X3y5MnJHhKQMgqDmnYkuktvwP0VBlQYAgAAAACADA78VNEXbdy4cUkbC5A2FX7tEvs4eQH3V7AqsY8DAAAAAACaJruJtweQZEUBFX55bRNb4Zebk2WdfKYJU+EHAAAAAEC4hDLwW7Bggb399tu2atX/lw5VVVXZtddea8OHD7dRo0bZSy+9lNQxAplW4ffHfcaHiIWr/1hTEwAAAAAAhEMoA7+LL77YDjnkEGvVqlX1tiuvvNLOP/98mzp1qgsD999/f/vkk08adf8LFy60W265xUaPHm3rrbeetW7d2nr27GkHHXSQTZ8+PYHPBGh+xUFr+CW4wk/yfULEyiqNIeEPBQAAAAAA0inw+/DDD10Vnxf4qXrojjvusE022cTmz59vH3/8sXXo0MGuv/76Rt3/7bffbhMnTrSff/7ZhX5nnnmm7bDDDvb888/b9ttvb0888USCnxHQ8hV+HRPcpVfy29O4AwAAAACAsAtF045Yixcvtr59+1b/fcaMGbZkyRK79NJLrU+fPu6iCr933323Ufe/7bbb2jvvvGMjRoyosf3999+3XXfd1U466SR3/23atGnycwGSsYaf1trLyU58hV9tjTvW7ZrwhwMAAAAAAOlS4af1+nTxKJzLysqykSNHVm9bZ511bNGiRY26/wMPPDAu7JMdd9zRdtllF1uxYoV9/fXXjRw90HJU/epX4ee31l5zVvgVUOEHAAAAAEBohDLw07p6mrbree6556xXr1628cYbV29T2Jefn5/wx/amEefmhrL4Eahh1Rqziv/Pxqt1bobpvJIfECSqwg8AAAAAAIRDKFMtNc9Qk46DDz7Y2rZtax988IGdcsopNfb59ttvbcCAAQl9XK0P+Oabb7pwcYsttqhz/2HDhvlunzlzpm200UZWUFCQ0PEBsX4v0n/j070OrSqsoCBgcb8maJ2Vo1g8bvuiZausoKDSUkVxcXGyhwAgAOcnEG6co0C4cY4C4VZZWWk5OfpenaGB31lnnWWvv/66Pfvss+7vgwYNcuv3eebNm+cqAM8777yEPWZ5ebkdffTRVlZWZtdee22LvQFAUxSV+lfcdWqm5Sfz2vpP3S0MGAcAAAAAAGh5oQz8OnfubNOmTXOVcrLpppvGBXAKA4cMGZKQx9N6gePHj7f33nvPjj/+eBf81cfUqVMDK/+U2jbHlGMgWmSFqurK47Z3z2tt+fkdEv54vbv7P15pVRvLz+9oqYZzFAgvzk8g3DhHgXDjHAXCqSWLy0IZ+HkGDhzou10dfKO7+DY17JswYYI9+uijdtRRR9k///nPhNwv0BIKA2btNtcafnkBTTsKadoBAAAAAEBohDrwa24K+4455hh7+OGH7fDDD7cHH3zQsrND2ccE8FUUELTlNVeX3nYNCx4BAAAAAEDLC226peYZe+65p/Xo0cN1zlXZY+ylKZ10o8O+MWPG2L/+9S/W7UP6VPgFBHNNlR9Q4Vewigo/AAAAAADCIpQVfs8884wL4RTKaeruJpts0qRwL2gar8K+Qw45xB555BHCPqSklq7wa9/aLDfHrCKmIS9TegEAAAAACI9QBn6XX365tWvXzp5//nkbOXJks9z/Qw89ZB07drSNNtrI/v73v8fts//++9vgwYMT/thAKlf4ZWVluWm9S0tqbi9Y1TyPBwAAAAAA0iTw++GHH1yn3OYI+2Tu3LnuZ0lJiV155ZW++/Tr14/AD6FXVNqyFX7etN6lJTUfd9Uas/KKiLXKbb7HBQAAAAAAKbyGX7du3ax9+/bNdv9qzhGJRGq9jB8/vtkeH2j+Lr3NF7zlBVQPFtC4AwAAAACAUAhl4HfwwQe7ph0VFRXJHgqQomv4Nd9j0rgDAAAAAIBwC2Xgd9VVV1l+fr5r3DF//vxkDwcIrSKfqrrcbLN2rZvvMYOmC1PhBwAAAABAOIRyDb8tttjCysvLbdq0afbcc8+58C8vL8+3gcDs2bOTMkYgUYqnX9/o2xaW/MXM2tTY1il3lZV8fHuD76vTdmfXa7+g6sFCKvwAAAAAAAiFUAZ+VVVVlpuba+utt171Nq2rF8tvG5ApKiNZVlJRM+yTTq3KmvVxmdILAAAAAEC4hTLw87roAghWUh4f9knnVqXN+rj5NO0AAAAAACDUQrmGH4C6FQcEfs1d4ZcXUOHHlF4AAAAAAMIhlBV+0b799lv7/vvvbeXKlXb00UcnezhAaBSVt01OhV/QlF4q/AAAAAAACIXQVvh98sknNnjwYNfA45BDDrHx48dXX/fee+9Z+/bt7YUXXkjqGIFkKkpShV/glF4q/AAAAAAACIVQBn7ffPONjRw50ubMmWMTJ060PfbYo8b1O+64o3Xv3t2eeuqppI0RCGvg19wVfoFTelcT+AEAAAAAEAahDPwuueQS9/Ozzz6zG264wbbZZpsa12dlZdmwYcNcFSCQqYoDpvQ2+xp+gRV+zfqwAAAAAAAglQO/d9991w466CDbYIMNAvdZb7317LfffmvRcQEpUeHXunkr/FrlZFlHn4emwg8AAAAAgHAIZeBXXFxsa621Vq37rF692iorK1tsTECqVPh1zm3eCr+gab2Fq80iEUI/AAAAAACSLZSB37rrrmtff/11rft8/vnntv7667fYmICwKVqTnAq/oMYdlVVmxc3/0AAAAAAAIBUDv7333ttef/11e/PNN32vf/LJJ23atGm2//77t/jYgLAorkjOGn6ST+MOAAAAAABCK9dC6IILLrCnn37a9txzTxs3bpwtWrTIbb/rrrts6tSp9thjj1m/fv3sjDPOSPZQgfBV+DVzl97aGndoWu+6zf7oAAAAAAAg5QK/Hj16uMYdRx99tN1///3V20855RT3c7vttnOhX15eXhJHCSRXcUDTjmRW+BWsosIPAAAAAIBkC2XgJwMGDLAPP/zQZsyY4abvLl++3Dp37uzCvm222SbZwwOSrsinaUe7nDXWKruq2R87v11A4Le62R8aAAAAAACkauDnGTx4sLsAqLvCryWq+ySvvf/2Qir8AAAAAABIulAEfhMmTGjU7bKysmpM+QUyRVlljpVVtYrb3rmFAj+m9AIAAAAAEF6hCPwefPDBwEAvEokEbifwQ6YKXr+v+Rt21Na0gym9AAAAAAAkXygCvzlz5tT4e1VVlZ122mlu7T793HHHHW3ttde233//3d577z277bbbbNiwYXbzzTcnbcxA2Nbva9EKv4A1/JjSCwAAAABA8oUi8Ovbt2+Nv19zzTU2ffp0+/LLL61Xr17V2zfeeGPbaaed7JhjjrGtttrKnn76aTvnnHOSMGIgwyv8Atbwo8IPAAAAAIDky7YQ0jTdQw89tEbYF22dddZx1997770tPjYgDMJa4ccafgAAAAAAJF8oA79ffvnF2rb1DzQ8ul77AZkouMKvZQK/Dm3Mcn0+PQpXE/gBAAAAAJBsoQz8+vTpY//5z3+stNR/euKqVavc9doPyERBgV/nFprSq4Y5ftN6C1a1yMMDAAAAAIBUC/yOO+44+/nnn2348OH2/PPP27Jly9x2/Xzuuedshx12sLlz59rxxx+f7KECoZrS21IVfkHTeletMVtTQZUfAAAAAACW6U07Yp199tn2448/2uTJk+3AAw9027Kzs133XolEIq5xh/YDMlGyK/wkP6hxxyqztTq32DAAAAAAAEAqBH4K99S4Y+zYsfbQQw/ZV199ZYWFhZaXl2dbbrmlHX300bbzzjsne5hARlf4de2gCr/4ar7lKyO2Vmf/ph4AAAAAACBDAz/PiBEj3AVAfZt2lLZw4Ge+gR8AAAAAAEieUK7hB6BxFX6dW7DCr1tA4LdsZYsNAQAAAAAA+CDwA1JQ4Zr4wC/bqqxji07p9d9OhR8AAAAAAMlF4AekSeDXuXWZZbfg0nldOzKlFwAAAACAMCLwA1JMRVWWFVfEB355rVa36Di6tA8K/Fp0GAAAAAAAIAaBH5Am6/fltW65hh21TeldQYUfAAAAAABJReAHpMF03mQEfkFNO5jSCwAAAABAchH4ASmmsLyd7/b8Fp7S26mtWa7PJwhTegEAAAAASC4CPyBNKvw6t3CFX3Z2lnXxmdZLhR8AAAAAAMlF4AekmII1ARV+rVu2wk+6+kzrXV1utmoNoR8AAAAAAMlC4AekmMKgph2tWrbCLyjwE6r8AAAAAABIHgI/IMWEpWlHbZ16WccPAAAAAIDkIfADUkxhwJReKvwAAAAAAIAQ+AHpMqU3JGv4yfISAj8AAAAAAJKFwA9IMQUBU3rzkzCltxtTegEAAAAACB0CPyDFFPkEflkWsY6tysJT4beKCj8AAAA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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[Wald] se_p min=0.000e+00, med=7.499e-04, max=2.110e-01, zero_rows=84/600\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "=== Model diagnostics ===\n", "LLF (Log-Likelihood) : -4.726528\n", "AIC : 21.453057 (k=6)\n", "BIC : 33.815715 (k=6, n=58)\n", "Chi² (Hosmer–Lemeshow): 0.305 df=6 p=0.9995 (g=8 groups)\n", "Accuracy : 0.9655 (threshold=0.5)\n", "Precision (AE class) : 0.8000 (TP=4, FP=1)\n" ] } ], "source": [ "# Constrained Bayesian fit (Gamma for NC, Beta-Prime for AE)\n", "# Plot: decision curve + class distributions (NO Wald, NO bootstrap)\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "import scipy.io as io\n", "\n", "# ------------------ Load data ------------------\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3] # 0=NC, 1=AE\n", "X = np.nanmax(suv[:, :, 94], axis=1).astype(float).ravel()\n", "y = np.asarray(flags, int).ravel()\n", "X = np.clip(X, 1e-12, None)\n", "p_emp = float(y.mean())\n", "\n", "# ------------------ Helpers ------------------\n", "def logistic(z):\n", " z = np.clip(z, -60, 60)\n", " return 1.0 / (1.0 + np.exp(-z))\n", "\n", "def sigmoid(t): \n", " return 1.0 / (1.0 + np.exp(-t))\n", "\n", "def softplus(t):\n", " t = np.asarray(t, float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0.0)\n", "\n", "# Pieces for log-odds\n", "def dE_ess(x, a, b, s, k, th):\n", " x = np.asarray(x, float)\n", " return (a - k) * np.log(x) - (a + b) * np.log1p(x / s) + x / th\n", "\n", "def dE_const(a, b, s, k, th):\n", " return -(a * np.log(s)) - betaln(a, b) + k * np.log(th) + gammaln(k)\n", "\n", "def dE_full(x, a, b, s, k, th):\n", " return dE_ess(x, a, b, s, k, th) + dE_const(a, b, s, k, th)\n", "\n", "# Theta cap for monotonicity\n", "def theta_max(a, b, k, s, eps=1e-12):\n", " A = a - k\n", " if A <= 0: return np.inf\n", " r = np.sqrt(a + b) - np.sqrt(max(A, eps))\n", " if r <= 1e-12: return np.inf\n", " return s / (r * r)\n", "\n", "# φ = [p_raw, b_raw, s_raw, k_raw, d_raw, u_raw] (unconstrained)\n", "def unpack_phi_mono(phi):\n", " p_raw, b_raw, s_raw, k_raw, d_raw, u_raw = phi\n", " p = sigmoid(p_raw) # (0,1)\n", " b = softplus(b_raw) + 1e-6 # >0\n", " s = softplus(s_raw) + 1e-6 # >0\n", " k = softplus(k_raw) + 1e-6 # >0\n", " delta = softplus(d_raw) + 1e-6 # >0\n", " a = k + delta # enforce a > k\n", " th_cap = theta_max(a, b, k, s)\n", " th = th_cap * sigmoid(u_raw) # 0 < theta <= cap\n", " return p, a, b, s, k, th\n", "\n", "# ------------------ Priors (your exact style) ------------------\n", "TAU = 25.0\n", "alpha = max(TAU * p_emp, 1e-6)\n", "beta = max(TAU * (1.0 - p_emp), 1e-6)\n", "\n", "# Toggle like you always do:\n", "# prior_r = None\n", "prior_r = (1.1, 1.1)\n", "# prior_r = (3, 3)\n", "\n", "# ------------------ Objective ------------------\n", "def neg_post_phi_mono(phi, X, y):\n", " p, a, b, s, k, th = unpack_phi_mono(phi)\n", " eps = 1e-12\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(X, a, b, s, k, th)\n", " px = logistic(L)\n", " nll = -np.sum(y * np.log(px + eps) + (1 - y) * np.log(1 - px + eps))\n", "\n", " # Beta prior on p\n", " npr_p = -((alpha - 1) * np.log(p + eps) + (beta - 1) * np.log(1 - p + eps))\n", "\n", " if prior_r is None:\n", " return nll + npr_p\n", "\n", " # Optional Beta prior on r = theta/theta_max\n", " thcap = theta_max(a, b, k, s)\n", " if np.isfinite(thcap) and thcap > 0:\n", " r = np.clip(th / thcap, 1e-9, 1 - 1e-9)\n", " npr_r = -((prior_r[0]-1) * np.log(r) + (prior_r[1]-1) * np.log(1.0 - r))\n", " else:\n", " npr_r = 0.0\n", " return nll + npr_p + npr_r\n", "\n", "# ------------------ Fit wrapper ------------------\n", "def init_phi(X, y):\n", " X0 = X[y == 0]\n", " m0 = X0.mean() if X0.size else X.mean()\n", " v0 = X0.var() if X0.size else X.var()\n", " k0 = 2.0 if v0 <= 0 else max((m0**2)/(v0 + 1e-9), 1.5)\n", "\n", " X1 = X[y == 1]\n", " m1 = np.median(X1) if X1.size else np.median(X)\n", "\n", " p0 = np.clip(float(y.mean()), 1e-3, 1 - 1e-3)\n", " b0, s0 = 1.5, max(m1, 0.5)\n", "\n", " return np.array([\n", " np.log(p0 / (1 - p0)), # p_raw\n", " np.log(np.expm1(b0) + 1e-9), # b_raw\n", " np.log(np.expm1(s0) + 1e-9), # s_raw\n", " np.log(np.expm1(k0) + 1e-9), # k_raw\n", " np.log(np.expm1(1.0) + 1e-9), # d_raw (delta)\n", " -0.2 # u_raw (theta below cap)\n", " ], float)\n", "\n", "def fit_bayes_mono(X, y, phi_start=None, rng=None):\n", " if rng is None: rng = np.random.default_rng(0)\n", " if phi_start is None: phi_start = init_phi(X, y)\n", " obj = lambda phi: neg_post_phi_mono(phi, X, y)\n", " res = optimize.minimize(obj, phi_start, method=\"L-BFGS-B\",\n", " options={\"maxiter\": 6000, \"ftol\": 1e-9})\n", " if not (res.success and np.isfinite(res.fun)):\n", " phi_try = phi_start + rng.normal(0, 0.2, size=phi_start.shape)\n", " res = optimize.minimize(obj, phi_try, method=\"L-BFGS-B\",\n", " options={\"maxiter\": 6000, \"ftol\": 1e-9})\n", " return unpack_phi_mono(res.x), res\n", "\n", "def P_with(theta, x):\n", " p, a, b, s, k, th = theta\n", " L = (np.log(p) - np.log(1 - p)) + dE_full(x, a, b, s, k, th)\n", " return logistic(L)\n", "\n", "# ------------------ PDFs for lower panels ------------------\n", "def gamma_pdf(x, k, th):\n", " x = np.asarray(x, float)\n", " return np.exp((k-1)*np.log(np.clip(x, 1e-300, None)) - x/th - k*np.log(th) - gammaln(k))\n", "\n", "def betaprime_pdf(x, a, b, s):\n", " x = np.asarray(x, float); xs = x/s\n", " return np.exp(-(np.log(s) + betaln(a,b)) + (a-1)*np.log(np.clip(xs,1e-300,None)) - (a+b)*np.log1p(xs))\n", "\n", "# ------------------ Fit and plot ------------------\n", "theta_hat, res = fit_bayes_mono(X, y)\n", "print(\"Optimization success:\", res.success, \" fval:\", float(res.fun))\n", "p,a,b,s,k,th = theta_hat\n", "thcap = theta_max(a, b, k, s)\n", "print(\"theta (p,a,b,s,k,theta):\", tuple(float(t) for t in theta_hat), \" ratio(th):\", th/thcap)\n", "\n", "# Grids\n", "XMAX = 10.0\n", "xc = np.linspace(1e-6, XMAX, 600) # start at tiny >0 to avoid log(0) warnings\n", "xg = np.linspace(1e-6, XMAX, 1200)\n", "\n", "p_curve = P_with(theta_hat, xc)\n", "X_nc, X_ae = X[y==0], X[y==1]\n", "\n", "fig = plt.figure(figsize=(9, 9), dpi=140, constrained_layout=True)\n", "gs = fig.add_gridspec(3, 1, height_ratios=[1.0, 0.9, 0.9])\n", "\n", "# Top: decision curve (no CI)\n", "ax = fig.add_subplot(gs[0, 0])\n", "rng_plot = np.random.default_rng(999)\n", "jit = (rng_plot.random(len(y)) - 0.5) * 0.06\n", "ax.plot(xc, p_curve, color=\"#000\", lw=2.2, label=\"P(irAE|x) (MAP)\")\n", "ax.scatter(X[y==0], (y + jit)[y==0], s=22, alpha=0.55, color=\"#2ca02c\", edgecolors='none', label='NC')\n", "ax.scatter(X[y==1], (y + jit)[y==1], s=26, alpha=0.75, color=\"#ff7f0e\", edgecolors='none', label='irAE')\n", "ax.set(xlim=(0, XMAX), ylim=(-0.05, 1.05), xlabel='SUV', ylabel='P(irAE | x)')\n", "title_core = 'Constrained Bayesian fit (prior on p'\n", "title_core += '; no r prior)' if prior_r is None else f'; r prior={prior_r})'\n", "ax.set_title(title_core)\n", "ax.grid(alpha=0.3); ax.legend(loc='lower right', frameon=False)\n", "\n", "# Middle: NC ~ Gamma\n", "ax2 = fig.add_subplot(gs[1, 0])\n", "ax2.hist(X_nc, bins='auto', density=True, color='#f1c27d', edgecolor='none', alpha=0.9, label='NC data')\n", "ax2.plot(xg, gamma_pdf(xg, k, th), color='#2c7ef7', lw=3, label=f'Gamma(k={k:.3g}, θ={th:.3g})')\n", "ax2.set(xlim=(0, XMAX), xlabel='SUV', ylabel='density', title='NC ~ Gamma (under fitted classifier)')\n", "ax2.grid(alpha=0.25); ax2.legend(frameon=False)\n", "\n", "# Bottom: irAE ~ Beta-Prime\n", "ax3 = fig.add_subplot(gs[2, 0])\n", "ax3.hist(X_ae, bins='auto', density=True, color='#f1c27d', edgecolor='none', alpha=0.9, label='irAE data')\n", "yg = betaprime_pdf(xg, a, b, s)\n", "ax3.plot(xg, yg, color='#2c7ef7', lw=3, label=f'Beta-Prime(a={a:.3g}, b={b:.3g}, s={s:.3g})')\n", "# auto log-y if pdf is tiny relative to histogram\n", "h,_ = np.histogram(X_ae, bins='auto', density=True)\n", "if h.size:\n", " hmax, cmax = float(h.max()), float(yg.max())\n", " if hmax > 0 and cmax < 0.05*hmax:\n", " ax3.set_yscale('log'); ax3.set_ylim(bottom=max(cmax*0.1, 1e-8))\n", " ax3.text(0.02, 0.95, \"log scale (pdf tiny on linear axis)\", transform=ax3.transAxes,\n", " ha='left', va='top', fontsize=8, color='0.35')\n", "ax3.set(xlim=(0, XMAX), xlabel='SUV', ylabel='density', title='irAE ~ Beta-Prime (under fitted classifier)')\n", "ax3.grid(alpha=0.25, which='both'); ax3.legend(frameon=False)\n", "\n", "plt.show()\n", "\n", "\n", "# --- Wald 95% band with numdifftools, fresh plot you can actually see ---\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import numdifftools as nd\n", "\n", "# 0) Ensure we have a fit\n", "try:\n", " phi_hat = res.x\n", " theta_hat # exists?\n", "except NameError:\n", " theta_hat, res = fit_bayes_mono(X, y)\n", " phi_hat = res.x\n", "\n", "# 1) Grid on the data support, not the wasteland where p ~ 0/1\n", "XMAX_CAP = 10.0\n", "x_lo = float(max(1e-6, X.min()*0.8))\n", "x_hi = float(min(XMAX_CAP, X.max()*1.2))\n", "xc = np.linspace(x_lo, x_hi, 600)\n", "\n", "def Pvec_from_phi(ph):\n", " return P_with(unpack_phi_mono(ph), xc)\n", "\n", "p_curve = Pvec_from_phi(phi_hat)\n", "\n", "# 2) Hessian at MAP -> covariance\n", "obj = lambda ph: neg_post_phi_mono(ph, X, y)\n", "H = nd.Hessian(obj, step=1e-5)(phi_hat)\n", "H = 0.5*(H + H.T)\n", "try:\n", " Sigma = np.linalg.inv(H)\n", "except np.linalg.LinAlgError:\n", " Sigma = np.linalg.pinv(H + 1e-6*np.eye(H.shape[0]))\n", "\n", "# 3) Jacobian of P(x) wrt phi\n", "J = nd.Jacobian(Pvec_from_phi, step=1e-5)(phi_hat) # shape: (len(xc), n_params)\n", "\n", "# 4) Delta method CI\n", "var_p = np.einsum('ij,jk,ik->i', J, Sigma, J)\n", "se_p = np.sqrt(np.clip(var_p, 0.0, np.inf))\n", "z = 1.96\n", "p_lo = np.clip(p_curve - z*se_p, 0, 1)\n", "p_hi = np.clip(p_curve + z*se_p, 0, 1)\n", "\n", "print(f\"[Wald] se_p min={se_p.min():.3e}, med={np.median(se_p):.3e}, max={se_p.max():.3e}, zero_rows={(se_p==0).sum()}/{se_p.size}\")\n", "\n", "# 5) Fresh plot, no mystery axes\n", "fig, ax = plt.subplots(figsize=(8, 5), dpi=140)\n", "\n", "# Decision curve\n", "ax.plot(xc, p_curve, color='k', lw=2.2, label='P(irAE|x) (MAP)', zorder=5)\n", "\n", "# Wald band, with visible edges\n", "ax.fill_between(xc, p_lo, p_hi, color='0.85', alpha=0.9, label='Wald 95% (nd)', zorder=2)\n", "ax.plot(xc, p_lo, color='tab:gray', ls='--', lw=0.9, zorder=3)\n", "ax.plot(xc, p_hi, color='tab:gray', ls='--', lw=0.9, zorder=3)\n", "\n", "# Scatter the data you actually fit, so humans can trust the pixels\n", "rng_plot = np.random.default_rng(999)\n", "jit = (rng_plot.random(len(y)) - 0.5) * 0.06\n", "ax.scatter(X[y==0], (y + jit)[y==0], s=22, alpha=0.55, color=\"#2ca02c\", edgecolors='none', label='NC', zorder=1)\n", "ax.scatter(X[y==1], (y + jit)[y==1], s=26, alpha=0.75, color=\"#ff7f0e\", edgecolors='none', label='irAE', zorder=1)\n", "\n", "ax.set(xlim=(x_lo, x_hi), ylim=(-0.05, 1.05), xlabel='SUV', ylabel='P(irAE | x)')\n", "ax.grid(alpha=0.3)\n", "ax.legend(loc='lower right', frameon=False)\n", "plt.show()\n", "\n", "\n", "# === Diagnostics table ===\n", "from scipy.stats import chi2\n", "import numpy as np\n", "\n", "def diagnostics_table(X, y, theta_hat, n_params=6, thr=0.5, g=8):\n", " \"\"\"Compute LLF, AIC, BIC, Hosmer–Lemeshow χ², Accuracy, Precision(AE).\"\"\"\n", " eps = 1e-12\n", " px = P_with(theta_hat, X)\n", "\n", " # Log-likelihood at the fitted parameters (likelihood part only)\n", " llf = float(np.sum(y*np.log(px+eps) + (1-y)*np.log(1-px+eps)))\n", "\n", " # Model selection criteria (note: strictly for ML fits; here used as a rough guide)\n", " aic = 2*n_params - 2*llf\n", " bic = n_params*np.log(len(y)) - 2*llf\n", "\n", " # Hosmer–Lemeshow goodness-of-fit (grouped by predicted risk)\n", " g = int(np.clip(g, 4, min(10, max(4, len(y)//5))))\n", " order = np.argsort(px)\n", " bins = np.array_split(order, g)\n", " hl = 0.0\n", " for idx in bins:\n", " obs1 = y[idx].sum()\n", " exp1 = px[idx].sum()\n", " obs0 = len(idx) - obs1\n", " exp0 = len(idx) - exp1\n", " hl += (obs1-exp1)**2/(exp1+eps) + (obs0-exp0)**2/(exp0+eps)\n", " df = max(g-2, 1)\n", " hl_p = 1 - chi2.cdf(hl, df)\n", "\n", " # Classification metrics at a threshold\n", " pred = (px >= thr).astype(int)\n", " tp = int(np.sum((pred==1) & (y==1)))\n", " fp = int(np.sum((pred==1) & (y==0)))\n", " tn = int(np.sum((pred==0) & (y==0)))\n", " fn = int(np.sum((pred==0) & (y==1)))\n", " acc = (tp+tn)/len(y)\n", " precision_ae = tp/(tp+fp) if (tp+fp)>0 else 0.0\n", "\n", " # Pretty print\n", " print(\"\\n=== Model diagnostics ===\")\n", " print(f\"LLF (Log-Likelihood) : {llf:.6f}\")\n", " print(f\"AIC : {aic:.6f} (k={n_params})\")\n", " print(f\"BIC : {bic:.6f} (k={n_params}, n={len(y)})\")\n", " print(f\"Chi² (Hosmer–Lemeshow): {hl:.3f} df={df} p={hl_p:.4f} (g={g} groups)\")\n", " print(f\"Accuracy : {acc:.4f} (threshold={thr})\")\n", " print(f\"Precision (AE class) : {precision_ae:.4f} (TP={tp}, FP={fp})\")\n", "\n", " return {\n", " \"LLF\": llf, \"AIC\": aic, \"BIC\": bic,\n", " \"HL_chi2\": hl, \"HL_df\": df, \"HL_p\": hl_p,\n", " \"Accuracy\": acc, \"Precision_AE\": precision_ae,\n", " \"TP\": tp, \"FP\": fp, \"TN\": tn, \"FN\": fn\n", " }\n", "\n", "# call it\n", "_ = diagnostics_table(X, y, theta_hat, n_params=6, thr=0.5, g=8)\n", "\n", "\n", "# --------- When you’re ready to re-add Wald with numdifftools ---------\n", "# 1) pip install numdifftools\n", "# 2) build a wrapper g(phi)=neg_post_phi_mono and use nd.Hessian(g) at the MAP\n", "# 3) delta-method on L(x) → P(x) with chain rule, then plot a ribbon. \n", "# I’ll wire it in when you stop changing your mind every 15 minutes.\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "53c7fce9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Collecting numdifftools\n", " Using cached numdifftools-0.9.41-py2.py3-none-any.whl.metadata (39 kB)\n", "Requirement already satisfied: numpy>=1.9 in c:\\users\\zahra\\anaconda3\\envs\\pymc3\\lib\\site-packages (from numdifftools) (1.26.4)\n", "Requirement already satisfied: scipy>=0.8 in c:\\users\\zahra\\anaconda3\\envs\\pymc3\\lib\\site-packages (from numdifftools) (1.16.0)\n", "Using cached numdifftools-0.9.41-py2.py3-none-any.whl (100 kB)\n", "Installing collected packages: numdifftools\n", "Successfully installed numdifftools-0.9.41\n", "Note: you may need to restart the kernel to use updated packages.\n" ] } ], "source": [ "pip install numdifftools\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "ea96d581", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_12904\\3759427500.py:33: RuntimeWarning: divide by zero encountered in log\n", " return (a - k) * np.log(x) - (a + b) * np.log1p(x / s) + x / th\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "[Parametric bootstrap] kind=conditional, used=500, failed=0\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ===================== PARAMETRIC BOOTSTRAP CI (toggle conditional/unconditional) =====================\n", "\n", "def _sample_betaprime(rng, a, b, s, n):\n", " # Beta-prime via ratio of independent Gammas: (Gamma(a,1)/Gamma(b,1)) * s\n", " U = rng.gamma(shape=a, scale=1.0, size=n)\n", " V = rng.gamma(shape=b, scale=1.0, size=n)\n", " return s * (U / np.clip(V, 1e-12, None))\n", "\n", "def simulate_dataset(theta, n, rng, kind=\"conditional\", X_ref=None):\n", " \"\"\"kind: 'conditional' or 'unconditional'.\"\"\"\n", " p,a,b,s,k,th = theta\n", " if kind == \"conditional\":\n", " assert X_ref is not None, \"X_ref is required for conditional bootstrap\"\n", " px = np.clip(P_with(theta, X_ref), 1e-9, 1-1e-9)\n", " yb = rng.binomial(1, px).astype(int)\n", " return X_ref.copy(), yb\n", " elif kind == \"unconditional\":\n", " n1 = rng.binomial(n, p)\n", " n0 = n - n1\n", " X0 = rng.gamma(shape=k, scale=th, size=n0)\n", " X1 = _sample_betaprime(rng, a, b, s, n1)\n", " Xb = np.concatenate([X0, X1])\n", " yb = np.concatenate([np.zeros(n0, int), np.ones(n1, int)])\n", " idx = rng.permutation(n)\n", " return Xb[idx], yb[idx]\n", " else:\n", " raise ValueError(\"kind must be 'conditional' or 'unconditional'\")\n", "\n", "def parametric_bootstrap_band(X, y, theta_hat, B=500, kind=\"conditional\", seed=0, XMAX=10.0):\n", " rng = np.random.default_rng(seed)\n", " xc = np.linspace(0.0, XMAX, 600)\n", " curves = []\n", " failures = 0\n", " for b in range(B):\n", " try:\n", " Xb, yb = simulate_dataset(theta_hat, len(X), rng, kind=kind, X_ref=X)\n", " thb, resb = fit_bayes_mono(Xb, yb)\n", " curves.append(P_with(thb, xc))\n", " except Exception:\n", " failures += 1\n", " curves = np.asarray(curves)\n", " if curves.size == 0:\n", " raise RuntimeError(\"All bootstrap fits failed.\")\n", " lo = np.quantile(curves, 0.025, axis=0)\n", " hi = np.quantile(curves, 0.975, axis=0)\n", " return xc, lo, hi, curves.shape[0], failures\n", "\n", "# ---- Run bootstrap and plot band on top of your existing MAP curve ----\n", "BOOT_B = 500 # increase to 1000+ for publication-grade\n", "BOOT_KIND = \"conditional\" # 'conditional' or 'unconditional'\n", "\n", "xc_boot, p_lo, p_hi, used, failed = parametric_bootstrap_band(\n", " X, y, theta_hat, B=BOOT_B, kind=BOOT_KIND, seed=1, XMAX=10.0\n", ")\n", "print(f\"[Parametric bootstrap] kind={BOOT_KIND}, used={used}, failed={failed}\")\n", "\n", "# Recompute MAP curve on same grid (just in case your plotting grid differs)\n", "p_map_on_xc = P_with(theta_hat, xc_boot)\n", "\n", "plt.figure(figsize=(8,4.8), dpi=140)\n", "plt.fill_between(xc_boot, p_lo, p_hi, color='0.85', label='Parametric 95% CI')\n", "plt.plot(xc_boot, p_map_on_xc, 'k', lw=2.2, label='P(irAE|x) (MAP)')\n", "# scatter data (with tiny vertical jitter)\n", "rng_plot = np.random.default_rng(999)\n", "jit = (rng_plot.random(len(y)) - 0.5) * 0.06\n", "plt.scatter(X[y==0], (y+jit)[y==0], s=22, alpha=0.55, color=\"#2ca02c\", edgecolors='none', label='NC')\n", "plt.scatter(X[y==1], (y+jit)[y==1], s=26, alpha=0.75, color=\"#ff7f0e\", edgecolors='none', label='irAE')\n", "plt.xlim(0, 10); plt.ylim(-0.05, 1.05)\n", "plt.xlabel(\"SUV\"); plt.ylabel(\"P(irAE | x)\")\n", "plt.title(f\"Parametric bootstrap band (kind={BOOT_KIND}, B={used})\")\n", "plt.grid(alpha=0.3); plt.legend(loc='lower right', frameon=False)\n", "plt.tight_layout(); plt.show()\n" ] }, { "cell_type": "code", "execution_count": 12, "id": "2ae5485e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fit success:True fval:9.572801\n", "p=0.0503 a=1.43e+03 b=408 s=0.471 k=167 th=0.00877 r=0.998\n", "Unconditional bootstrap replicates used: 500/500\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Unconditional parametric bootstrap band for the original constrained Bayes model\n", "# (Gamma for NC, Beta-Prime for AE) — no trimming\n", "\n", "import numpy as np, matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "import scipy.io as io\n", "\n", "# ---------------- data (original, no removal) ----------------\n", "X3 = io.loadmat(\"../data/suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "y = io.loadmat(\"../data/flags_combined.mat\")['flags'][0:58, 3].astype(int).ravel()\n", "X = np.nanmax(X3[:, :, 94], axis=1).astype(float).ravel()\n", "X = np.clip(X, 1e-12, None)\n", "\n", "# ---------------- toggles ----------------\n", "USE_PRIOR_P = True # Beta prior on p\n", "prior_r = (1.05, 1.05) # Beta prior on r = theta/theta_max (set None to disable)\n", "XMAX = 10.0 # plotting cap\n", "B = 500 # bootstrap replicates (increase for final results)\n", "\n", "# ---------------- priors (from data) ----------------\n", "TAU = 25.0\n", "p_emp = float(y.mean())\n", "alpha = max(TAU*p_emp, 1e-6); beta = max(TAU*(1-p_emp), 1e-6)\n", "\n", "# ---------------- helpers ----------------\n", "def logistic(z): return 1/(1+np.exp(-np.clip(z, -60, 60)))\n", "def sigmoid(t): return 1/(1+np.exp(-t))\n", "def softplus(t):\n", " t = np.asarray(t, float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0.0)\n", "\n", "def dE_full(x,a,b,s,k,th):\n", " x = np.asarray(x, float); eps=1e-12\n", " return ((a-k)*np.log(np.clip(x,eps,None))\n", " - (a+b)*np.log1p(x/np.clip(s,eps,None))\n", " + x/np.clip(th,eps,None) - a*np.log(np.clip(s,eps,None))\n", " - betaln(a,b) + k*np.log(np.clip(th,eps,None)) + gammaln(k))\n", "\n", "def theta_max(a,b,k,s,eps=1e-12):\n", " A=a-k\n", " if A<=0: return np.inf\n", " r=np.sqrt(a+b)-np.sqrt(max(A,eps))\n", " return np.inf if r<=1e-12 else s/(r*r)\n", "\n", "# φ=[p_raw,b_raw,s_raw,k_raw,d_raw,u_raw]; a=k+softplus(d_raw); th=sigmoid(u)*thcap\n", "def unpack(phi):\n", " p_raw,b_raw,s_raw,k_raw,d_raw,u_raw = phi\n", " p = sigmoid(p_raw)\n", " b = softplus(b_raw) + 1e-6\n", " s = softplus(s_raw) + 1e-6\n", " k = softplus(k_raw) + 1e-6\n", " a = k + softplus(d_raw) + 1e-6\n", " thcap = theta_max(a,b,k,s)\n", " th = thcap * sigmoid(u_raw)\n", " return p,a,b,s,k,th,thcap\n", "\n", "def neg_post(phi, X, y):\n", " p,a,b,s,k,th,thcap = unpack(phi); eps=1e-12\n", " L = (np.log(np.clip(p,eps,1)) - np.log(np.clip(1-p,eps,1))) + dE_full(X,a,b,s,k,th)\n", " px = logistic(L)\n", " total = -np.sum(y*np.log(np.clip(px,eps,1)) + (1-y)*np.log(np.clip(1-px,eps,1)))\n", " if USE_PRIOR_P:\n", " total += -((alpha-1)*np.log(np.clip(p,eps,1)) + (beta-1)*np.log(np.clip(1-p,eps,1)))\n", " if prior_r is not None and np.isfinite(thcap) and thcap>0:\n", " r = np.clip(th/thcap, 1e-9, 1-1e-9)\n", " total += -((prior_r[0]-1)*np.log(r) + (prior_r[1]-1)*np.log(1-r))\n", " return total\n", "\n", "def init_phi(X,y):\n", " X0=X[y==0]; m0=X0.mean() if X0.size else X.mean(); v0=X0.var() if X0.size else X.var()\n", " k0=2.0 if v0<=0 else max((m0*m0)/(v0+1e-9),1.5)\n", " X1=X[y==1]; m1=np.median(X1) if X1.size else np.median(X)\n", " p0=np.clip(float(y.mean()),1e-3,1-1e-3); b0,s0=1.5, max(m1,0.5)\n", " return np.array([np.log(p0/(1-p0)),\n", " np.log(np.expm1(b0)+1e-9),\n", " np.log(np.expm1(s0)+1e-9),\n", " np.log(np.expm1(k0)+1e-9),\n", " np.log(np.expm1(1.0)+1e-9),\n", " -0.2], float)\n", "\n", "def fit_once(X,y, rng=np.random.default_rng(0)):\n", " obj=lambda w:neg_post(w,X,y)\n", " w0 = init_phi(X,y)\n", " res=optimize.minimize(obj, w0, method=\"L-BFGS-B\", options={\"maxiter\":6000,\"ftol\":1e-9})\n", " if not (res.success and np.isfinite(res.fun)):\n", " w = w0 + rng.normal(0,0.2,6)\n", " res=optimize.minimize(obj,w,method=\"L-BFGS-B\", options={\"maxiter\":6000,\"ftol\":1e-9})\n", " return unpack(res.x), res\n", "\n", "def P_with(th,x):\n", " p,a,b,s,k,t,_ = th\n", " return logistic((np.log(p)-np.log(1-p)) + dE_full(x,a,b,s,k,t))\n", "\n", "# ---------- fit to observed data ----------\n", "theta_hat, res = fit_once(X,y)\n", "p,a,b,s,k,th,thcap = theta_hat\n", "print(f\"Fit success:{res.success} fval:{float(res.fun):.6f}\")\n", "print(f\"p={p:.4f} a={a:.3g} b={b:.3g} s={s:.3g} k={k:.3g} th={th:.3g} r={float(th/thcap):.3f}\")\n", "\n", "# grid\n", "xc = np.linspace(0, XMAX, 600)\n", "p_map = P_with(theta_hat, xc)\n", "\n", "# ---------- UNCONDITIONAL parametric bootstrap ----------\n", "rng = np.random.default_rng(123)\n", "n = len(X)\n", "\n", "def rvs_gamma(k, theta, size): # shape k, scale theta\n", " return rng.gamma(shape=k, scale=theta, size=size)\n", "\n", "def rvs_betaprime(a, b, s, size): # scale s\n", " g1 = rng.gamma(shape=a, scale=1.0, size=size)\n", " g2 = rng.gamma(shape=b, scale=1.0, size=size)\n", " return s * (g1 / g2)\n", "\n", "curves = []\n", "used = 0\n", "for brep in range(B):\n", " # simulate a *new cohort* from the fitted mixture\n", " y_sim = rng.binomial(1, p, size=n)\n", " x_sim = np.empty(n, float)\n", " idx_ae = (y_sim==1); idx_nc = ~idx_ae\n", " x_sim[idx_nc] = rvs_gamma(k, th, idx_nc.sum())\n", " x_sim[idx_ae] = rvs_betaprime(a, b, s, idx_ae.sum())\n", " x_sim = np.clip(x_sim, 1e-12, None)\n", "\n", " # refit on the synthetic cohort (same priors/constraints)\n", " try:\n", " th_b, res_b = fit_once(x_sim, y_sim, rng)\n", " if not res_b.success or not np.isfinite(res_b.fun): \n", " continue\n", " curves.append(P_with(th_b, xc))\n", " used += 1\n", " except Exception:\n", " continue\n", "\n", "curves = np.array(curves)\n", "print(f\"Unconditional bootstrap replicates used: {used}/{B}\")\n", "if used == 0:\n", " raise RuntimeError(\"No successful bootstrap fits—try smaller B or different seed.\")\n", "\n", "# pointwise 95% band\n", "p_lo = np.percentile(curves, 2.5, axis=0)\n", "p_hi = np.percentile(curves, 97.5, axis=0)\n", "\n", "# ---------- plot ----------\n", "fig, ax = plt.subplots(figsize=(8.5, 5.0), dpi=140)\n", "rng_plot = np.random.default_rng(999); jit=(rng_plot.random(len(y))-0.5)*0.06\n", "ax.fill_between(xc, p_lo, p_hi, color='0.85', label='Parametric (unconditional) 95% CI')\n", "ax.plot(xc, p_map, 'k', lw=2.2, label='P(AE|x) (MAP)')\n", "ax.scatter(X[y==0], (y+jit)[y==0], s=22, alpha=0.55, color=\"#2ca02c\", edgecolors='none', label='NC')\n", "ax.scatter(X[y==1], (y+jit)[y==1], s=26, alpha=0.75, color=\"#ff7f0e\", edgecolors='none', label='AE')\n", "ax.set(xlim=(0, XMAX), ylim=(-0.05, 1.05), xlabel='SUV', ylabel='P(irAE | x)')\n", "ax.set_title(f\"Unconditional parametric bootstrap band \"\n", " f\"(p-prior={USE_PRIOR_P}, r-prior={prior_r})\")\n", "ax.grid(alpha=0.3); ax.legend(frameon=False, loc='lower right')\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "fa7e6b05", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "a2a7b752", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 147, "id": "31ee1c6d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Removed 1 row(s): [53]\n", " removed (x=2.48123, y=0)\n", "success:True fval:7.409519\n", "p=0.0524 a=1.05e+03 b=589 s=0.919 k=267 th=0.00561 r=0.952\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_9060\\2057591006.py:42: RuntimeWarning: divide by zero encountered in log\n", " return (a-k)*np.log(x) - (a+b)*np.log1p(x/s) + x/th - a*np.log(s) - betaln(a,b) + k*np.log(th) + gammaln(k)\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compact constrained Bayes (Gamma for NC, Beta-Prime for AE) — with 2.48 removed\n", "# Toggles: USE_PRIOR_P (Beta on p), prior_r (Beta on r=theta/theta_max)\n", "# Plots: decision curve + NC/AE distributions, x in [0,10]\n", "\n", "import numpy as np, matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "import scipy.io as io\n", "\n", "# data \n", "X3 = io.loadmat(\"../data/suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "y = io.loadmat(\"../data/flags_combined.mat\")['flags'][0:58, 3].astype(int).ravel()\n", "X = np.nanmax(X3[:, :, 94], axis=1).astype(float).ravel()\n", "X = np.clip(X, 1e-12, None)\n", "\n", "VALUE_TO_DROP= 2.48122597\n", "\n", "mask_keep = np.abs(X - VALUE_TO_DROP) > TOL\n", "removed_idx = np.where(~mask_keep)[0]\n", "if removed_idx.size:\n", " print(f\"Removed {removed_idx.size} row(s):\", removed_idx.tolist())\n", " for i in removed_idx:\n", " print(f\" removed (x={float(X[i]):.6g}, y={int(y[i])})\")\n", "X, y = X[mask_keep], y[mask_keep]\n", "\n", "# toggles \n", "#prior_r = None \n", "prior_r= (1.05,1.05) \n", "\n", "# priors (computed AFTER trimming)\n", "TAU=25.0\n", "p_emp = float(y.mean())\n", "alpha = max(TAU*p_emp,1e-6); beta = max(TAU*(1-p_emp),1e-6)\n", "\n", "# helpers\n", "logistic = lambda z: 1/(1+np.exp(-np.clip(z,-60,60)))\n", "sigmoid = lambda t: 1/(1+np.exp(-t))\n", "def softplus(t): t=np.asarray(t,float); return np.log1p(np.exp(-np.abs(t)))+np.maximum(t,0)\n", "\n", "def dE_full(x,a,b,s,k,th):\n", " x=np.asarray(x,float)\n", " return (a-k)*np.log(x) - (a+b)*np.log1p(x/s) + x/th - a*np.log(s) - betaln(a,b) + k*np.log(th) + gammaln(k)\n", "\n", "def theta_max(a,b,k,s,eps=1e-12):\n", " A=a-k\n", " if A<=0: return np.inf\n", " r=np.sqrt(a+b)-np.sqrt(max(A,eps))\n", " return np.inf if r<=1e-12 else s/(r*r)\n", "\n", "# φ=[p_raw,b_raw,s_raw,k_raw,d_raw,u_raw]; a=k+softplus(d_raw); th=sigmoid(u)*thcap\n", "def unpack(phi):\n", " p_raw,b_raw,s_raw,k_raw,d_raw,u_raw=phi\n", " p=sigmoid(p_raw); b=softplus(b_raw)+1e-6; s=softplus(s_raw)+1e-6\n", " k=softplus(k_raw)+1e-6; a=k+softplus(d_raw)+1e-6\n", " thcap=theta_max(a,b,k,s); th=thcap*sigmoid(u_raw)\n", " return p,a,b,s,k,th,thcap\n", "\n", "def neg_post(phi,X,y):\n", " p,a,b,s,k,th,thcap=unpack(phi); eps=1e-12\n", " px=logistic((np.log(p)-np.log(1-p))+dE_full(X,a,b,s,k,th))\n", " total = -np.sum(y*np.log(px+eps)+(1-y)*np.log(1-px+eps))\n", " if USE_PRIOR_P:\n", " total += -((alpha-1)*np.log(p+eps)+(beta-1)*np.log(1-p+eps))\n", " if prior_r is not None and np.isfinite(thcap) and thcap>0:\n", " r=np.clip(th/thcap,1e-9,1-1e-9)\n", " total += -((prior_r[0]-1)*np.log(r)+(prior_r[1]-1)*np.log(1-r))\n", " return total\n", "\n", "def init_phi(X,y):\n", " X0=X[y==0]; m0=X0.mean() if X0.size else X.mean(); v0=X0.var() if X0.size else X.var()\n", " k0=2.0 if v0<=0 else max((m0*m0)/(v0+1e-9),1.5)\n", " X1=X[y==1]; m1=np.median(X1) if X1.size else np.median(X)\n", " p0=np.clip(float(y.mean()),1e-3,1-1e-3); b0,s0=1.5, max(m1,0.5)\n", " return np.array([np.log(p0/(1-p0)),\n", " np.log(np.expm1(b0)+1e-9),\n", " np.log(np.expm1(s0)+1e-9),\n", " np.log(np.expm1(k0)+1e-9),\n", " np.log(np.expm1(1.0)+1e-9),\n", " -0.2], float)\n", "\n", "def fit(X,y):\n", " obj=lambda w:neg_post(w,X,y)\n", " res=optimize.minimize(obj, init_phi(X,y), method=\"L-BFGS-B\",\n", " options={\"maxiter\":6000,\"ftol\":1e-9})\n", " if not (res.success and np.isfinite(res.fun)):\n", " w=init_phi(X,y)+np.random.default_rng(0).normal(0,0.2,6)\n", " res=optimize.minimize(obj,w,method=\"L-BFGS-B\",\n", " options={\"maxiter\":6000,\"ftol\":1e-9})\n", " return unpack(res.x), res\n", "\n", "def P_with(th,x):\n", " p,a,b,s,k,t,_=th\n", " return logistic((np.log(p)-np.log(1-p))+dE_full(x,a,b,s,k,t))\n", "\n", "# pdfs for plots\n", "def gamma_pdf(x,k,th):\n", " x=np.asarray(x,float)\n", " return np.exp((k-1)*np.log(np.clip(x,1e-300,None)) - x/th - k*np.log(th) - gammaln(k))\n", "def betaprime_pdf(x,a,b,s):\n", " x=np.asarray(x,float); xs=x/s\n", " return np.exp(-(np.log(s)+betaln(a,b)) + (a-1)*np.log(np.clip(xs,1e-300,None)) - (a+b)*np.log1p(xs))\n", "\n", "# fit \n", "theta_hat, res = fit(X,y); p,a,b,s,k,th,thcap = theta_hat\n", "print(f\"success:{res.success} fval:{float(res.fun):.6f}\")\n", "print(f\"p={p:.4f} a={a:.3g} b={b:.3g} s={s:.3g} k={k:.3g} th={th:.3g} r={float(th/thcap):.3f}\")\n", "\n", "# grids (x in [0,10]) \n", "XMAX=10.0\n", "xc = np.linspace(0, XMAX, 600)\n", "xg = np.linspace(0, XMAX, 1200)\n", "p_curve = P_with(theta_hat, xc)\n", "X_nc, X_ae = X[y==0], X[y==1]\n", "yg_nc = gamma_pdf(xg, k, th)\n", "yg_ae = betaprime_pdf(xg, a, b, s)\n", "\n", "# plots \n", "fig = plt.figure(figsize=(11,11), dpi=140, constrained_layout=True)\n", "gs = fig.add_gridspec(3,1, height_ratios=[1.0,0.9,0.9])\n", "\n", "# 1) decision curve\n", "ax = fig.add_subplot(gs[0,0])\n", "rng=np.random.default_rng(999); jit=(rng.random(len(y))-0.5)*0.06\n", "ax.plot(xc,p_curve,'k',lw=2.2,label=\"P(AE|x)\")\n", "ax.scatter(X[y==0],(y+jit)[y==0],s=22,alpha=0.55,color=\"#2ca02c\",edgecolors='none',label=\"NC\")\n", "ax.scatter(X[y==1],(y+jit)[y==1],s=26,alpha=0.75,color=\"#ff7f0e\",edgecolors='none',label=\"AE\")\n", "ax.set(xlim=(0,XMAX),ylim=(-0.05,1.05),xlabel=\"x\",ylabel=\"P(AE|x)\")\n", "ax.set_title(f\"Fit (trim ~2.48; {'p-prior' if USE_PRIOR_P else 'no p-prior'}; \"\n", "f\"{'no r-prior' if prior_r is None else f'r-prior={prior_r}'})\")\n", "ax.grid(alpha=0.3); ax.legend(frameon=False,loc=\"lower right\")\n", "\n", "# 2) NC ~ Gamma\n", "ax2=fig.add_subplot(gs[1,0])\n", "ax2.hist(X_nc,bins='auto',density=True,color='#f1c27d',edgecolor='none',alpha=0.9,label=\"NC data\")\n", "ax2.plot(xg,yg_nc,color='#2c7ef7',lw=3,label=f\"Gamma(k={k:.3g}, θ={th:.3g})\")\n", "ax2.set(xlim=(0,XMAX),xlabel=\"x\",ylabel=\"density\",title=\"NC ~ Gamma (under fitted classifier)\")\n", "ax2.grid(alpha=0.25); ax2.legend(frameon=False)\n", "\n", "# 3) AE ~ Beta-Prime\n", "ax3=fig.add_subplot(gs[2,0])\n", "ax3.hist(X_ae,bins='auto',density=True,color='#f1c27d',edgecolor='none',alpha=0.9,label=\"AE data\")\n", "ax3.plot(xg,yg_ae,color='#2c7ef7',lw=3,label=f\"Beta-Prime(a={a:.3g}, b={b:.3g}, s={s:.3g})\")\n", "# auto log if curve tiny\n", "h,_=np.histogram(X_ae,bins='auto',density=True); hmax=float(h.max()) if h.size else 0.0\n", "cmax=float(yg_ae.max())\n", "if hmax>0 and cmax<0.05*hmax:\n", " ax3.set_yscale('log'); ax3.set_ylim(bottom=max(cmax*0.1,1e-8))\n", " ax3.text(0.02,0.95,\"log scale (pdf tiny on linear axis)\", transform=ax3.transAxes,\n", " ha='left',va='top',fontsize=8,color='0.35')\n", "ax3.set(xlim=(0,XMAX),xlabel=\"x\",ylabel=\"density\",title=\"AE ~ Beta-Prime (under fitted classifier)\")\n", "ax3.grid(alpha=0.25,which='both'); ax3.legend(frameon=False)\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "d5429ffb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Removed 1 row(s): [53]\n", " removed (x=2.48123, y=0)\n", "success:True fval:7.410242\n", "p=0.0519 a=874 b=204 s=0.408 k=94.7 th=0.0148 r=0.878\n", "[Wald] se_p min=0.000e+00, max=3.710e-01, zeros=503/600\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compact constrained Bayes (Gamma for NC, Beta-Prime for AE) — with 2.48 removed\n", "# Wald 95% band via numdifftools\n", "# Toggles: USE_PRIOR_P (Beta on p), prior_r (Beta on r=theta/theta_max)\n", "# Plots: decision curve + NC/AE distributions, x in [0,10]\n", "\n", "import numpy as np, matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "import scipy.io as io\n", "import numdifftools as nd\n", "\n", "# ---------------- data ----------------\n", "X3 = io.loadmat(\"../data/suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "y = io.loadmat(\"../data/flags_combined.mat\")['flags'][0:58, 3].astype(int).ravel()\n", "X = np.nanmax(X3[:, :, 94], axis=1).astype(float).ravel()\n", "X = np.clip(X, 1e-12, None)\n", "\n", "# remove x ≈ 2.48\n", "VALUE_TO_DROP = 2.48122597\n", "TOL = 1e-2\n", "mask_keep = np.abs(X - VALUE_TO_DROP) > TOL\n", "removed_idx = np.where(~mask_keep)[0]\n", "if removed_idx.size:\n", " print(f\"Removed {removed_idx.size} row(s):\", removed_idx.tolist())\n", " for i in removed_idx:\n", " print(f\" removed (x={float(X[i]):.6g}, y={int(y[i])})\")\n", "X, y = X[mask_keep], y[mask_keep]\n", "\n", "# ---------------- toggles ----------------\n", "USE_PRIOR_P = True # Beta prior on p\n", "# prior_r = None\n", "prior_r = (1.05, 1.05) # Beta prior on r = theta/theta_max\n", "\n", "# priors (AFTER trimming)\n", "TAU = 25.0\n", "p_emp = float(y.mean())\n", "alpha = max(TAU*p_emp, 1e-6); beta = max(TAU*(1-p_emp), 1e-6)\n", "\n", "# ---------------- helpers ----------------\n", "logistic = lambda z: 1/(1+np.exp(-np.clip(z,-60,60)))\n", "sigmoid = lambda t: 1/(1+np.exp(-t))\n", "def softplus(t):\n", " t = np.asarray(t, float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0.0)\n", "\n", "def dE_full(x,a,b,s,k,th):\n", " x = np.asarray(x, float)\n", " eps = 1e-12\n", " return ((a-k)*np.log(np.clip(x,eps,None))\n", " - (a+b)*np.log1p(x/np.clip(s,eps,None))\n", " + x/np.clip(th,eps,None)\n", " - a*np.log(np.clip(s,eps,None))\n", " - betaln(a,b) + k*np.log(np.clip(th,eps,None)) + gammaln(k))\n", "\n", "def theta_max(a,b,k,s,eps=1e-12):\n", " A = a-k\n", " if A <= 0: return np.inf\n", " r = np.sqrt(a+b) - np.sqrt(max(A,eps))\n", " return np.inf if r <= 1e-12 else s/(r*r)\n", "\n", "# φ=[p_raw,b_raw,s_raw,k_raw,d_raw,u_raw]; a=k+softplus(d_raw); th=sigmoid(u)*thcap\n", "def unpack(phi):\n", " p_raw,b_raw,s_raw,k_raw,d_raw,u_raw = phi\n", " p = sigmoid(p_raw)\n", " b = softplus(b_raw) + 1e-6\n", " s = softplus(s_raw) + 1e-6\n", " k = softplus(k_raw) + 1e-6\n", " a = k + softplus(d_raw) + 1e-6\n", " thcap = theta_max(a,b,k,s)\n", " th = thcap * sigmoid(u_raw)\n", " return p,a,b,s,k,th,thcap\n", "\n", "def neg_post(phi, X, y):\n", " p,a,b,s,k,th,thcap = unpack(phi)\n", " eps = 1e-12\n", " L = (np.log(np.clip(p,eps,1)) - np.log(np.clip(1-p,eps,1))) + dE_full(X,a,b,s,k,th)\n", " px = logistic(L)\n", " total = -np.sum(y*np.log(np.clip(px,eps,1)) + (1-y)*np.log(np.clip(1-px,eps,1)))\n", " if USE_PRIOR_P:\n", " total += -((alpha-1)*np.log(np.clip(p,eps,1)) + (beta-1)*np.log(np.clip(1-p,eps,1)))\n", " if prior_r is not None and np.isfinite(thcap) and thcap > 0:\n", " r = np.clip(th/thcap, 1e-9, 1-1e-9)\n", " total += -((prior_r[0]-1)*np.log(r) + (prior_r[1]-1)*np.log(1-r))\n", " return total\n", "\n", "def init_phi(X,y):\n", " X0=X[y==0]; m0=X0.mean() if X0.size else X.mean(); v0=X0.var() if X0.size else X.var()\n", " k0=2.0 if v0<=0 else max((m0*m0)/(v0+1e-9),1.5)\n", " X1=X[y==1]; m1=np.median(X1) if X1.size else np.median(X)\n", " p0=np.clip(float(y.mean()),1e-3,1-1e-3); b0,s0=1.5, max(m1,0.5)\n", " return np.array([np.log(p0/(1-p0)),\n", " np.log(np.expm1(b0)+1e-9),\n", " np.log(np.expm1(s0)+1e-9),\n", " np.log(np.expm1(k0)+1e-9),\n", " np.log(np.expm1(1.0)+1e-9),\n", " -0.2], float)\n", "\n", "def fit(X,y):\n", " obj=lambda w:neg_post(w,X,y)\n", " res=optimize.minimize(obj, init_phi(X,y), method=\"L-BFGS-B\",\n", " options={\"maxiter\":6000,\"ftol\":1e-9})\n", " if not (res.success and np.isfinite(res.fun)):\n", " w=init_phi(X,y)+np.random.default_rng(0).normal(0,0.2,6)\n", " res=optimize.minimize(obj,w,method=\"L-BFGS-B\",\n", " options={\"maxiter\":6000,\"ftol\":1e-9})\n", " return unpack(res.x), res\n", "\n", "def P_with(th,x):\n", " p,a,b,s,k,t,_=th\n", " return logistic((np.log(p)-np.log(1-p))+dE_full(x,a,b,s,k,t))\n", "\n", "# ---------------- fit ----------------\n", "theta_hat, res = fit(X,y)\n", "p,a,b,s,k,th,thcap = theta_hat\n", "print(f\"success:{res.success} fval:{float(res.fun):.6f}\")\n", "print(f\"p={p:.4f} a={a:.3g} b={b:.3g} s={s:.3g} k={k:.3g} th={th:.3g} r={float(th/thcap):.3f}\")\n", "\n", "# ---------------- Wald band via numdifftools ----------------\n", "phi_hat = res.x\n", "XMAX = 10.0\n", "xc = np.linspace(0, XMAX, 600)\n", "\n", "# vector P(AE|x) as function of phi\n", "def Pvec_from_phi(ph):\n", " return P_with(unpack(ph), xc)\n", "\n", "# Hessian of objective at MAP\n", "H = nd.Hessian(lambda w: neg_post(w, X, y))(phi_hat)\n", "# robust inverse\n", "try:\n", " Sigma = np.linalg.inv(H)\n", "except np.linalg.LinAlgError:\n", " Sigma = np.linalg.pinv(H)\n", "\n", "# Jacobian of curve wrt phi\n", "J = nd.Jacobian(Pvec_from_phi)(phi_hat) # shape = (len(xc), 6)\n", "var_p = np.einsum('ij,jk,ik->i', J, Sigma, J)\n", "se_p = np.sqrt(np.maximum(var_p, 0.0))\n", "z = 1.96\n", "p_map = P_with(theta_hat, xc)\n", "p_lo = np.clip(p_map - z*se_p, 0, 1)\n", "p_hi = np.clip(p_map + z*se_p, 0, 1)\n", "print(f\"[Wald] se_p min={se_p.min():.3e}, max={se_p.max():.3e}, zeros={(se_p==0).sum()}/{se_p.size}\")\n", "\n", "# ---------------- grids for densities ----------------\n", "xg = np.linspace(0, XMAX, 1200)\n", "X_nc, X_ae = X[y==0], X[y==1]\n", "def gamma_pdf(x,k,th):\n", " x=np.asarray(x,float)\n", " return np.exp((k-1)*np.log(np.clip(x,1e-300,None)) - x/th - k*np.log(th) - gammaln(k))\n", "def betaprime_pdf(x,a,b,s):\n", " x=np.asarray(x,float); xs=x/s\n", " return np.exp(-(np.log(s)+betaln(a,b)) + (a-1)*np.log(np.clip(xs,1e-300,None)) - (a+b)*np.log1p(xs))\n", "yg_nc = gamma_pdf(xg, k, th)\n", "yg_ae = betaprime_pdf(xg, a, b, s)\n", "\n", "# ---------------- plots ----------------\n", "fig = plt.figure(figsize=(11,11), dpi=140, constrained_layout=True)\n", "gs = fig.add_gridspec(3,1, height_ratios=[1.0,0.9,0.9])\n", "\n", "# (1) decision curve + Wald band\n", "ax = fig.add_subplot(gs[0,0])\n", "rng=np.random.default_rng(999); jit=(rng.random(len(y))-0.5)*0.06\n", "ax.fill_between(xc, p_lo, p_hi, color='0.85', label='Wald 95% (nd)')\n", "ax.plot(xc, p_map, 'k', lw=2.2, label=\"P(AE|x) (MAP)\")\n", "ax.scatter(X[y==0],(y+jit)[y==0],s=22,alpha=0.55,color=\"#2ca02c\",edgecolors='none',label=\"NC\")\n", "ax.scatter(X[y==1],(y+jit)[y==1],s=26,alpha=0.75,color=\"#ff7f0e\",edgecolors='none',label=\"AE\")\n", "ax.set(xlim=(0,XMAX),ylim=(-0.05,1.05),xlabel=\"x\",ylabel=\"P(AE|x)\")\n", "ax.set_title(f\"Fit (trim ~2.48; {'p-prior' if USE_PRIOR_P else 'no p-prior'}; \"\n", " f\"{'no r-prior' if prior_r is None else f'r-prior={prior_r}'})\")\n", "ax.grid(alpha=0.3); ax.legend(frameon=False,loc=\"lower right\")\n", "\n", "# (2) NC ~ Gamma\n", "ax2=fig.add_subplot(gs[1,0])\n", "ax2.hist(X_nc,bins='auto',density=True,color='#f1c27d',edgecolor='none',alpha=0.9,label=\"NC data\")\n", "ax2.plot(xg,yg_nc,color='#2c7ef7',lw=3,label=f\"Gamma(k={k:.3g}, θ={th:.3g})\")\n", "ax2.set(xlim=(0,XMAX),xlabel=\"x\",ylabel=\"density\",title=\"NC ~ Gamma (under fitted classifier)\")\n", "ax2.grid(alpha=0.25); ax2.legend(frameon=False)\n", "\n", "# (3) AE ~ Beta-Prime\n", "ax3=fig.add_subplot(gs[2,0])\n", "ax3.hist(X_ae,bins='auto',density=True,color='#f1c27d',edgecolor='none',alpha=0.9,label=\"AE data\")\n", "ax3.plot(xg,yg_ae,color='#2c7ef7',lw=3,label=f\"Beta-Prime(a={a:.3g}, b={b:.3g}, s={s:.3g})\")\n", "h,_=np.histogram(X_ae,bins='auto',density=True); hmax=float(h.max()) if h.size else 0.0\n", "cmax=float(yg_ae.max())\n", "if hmax>0 and cmax<0.05*hmax:\n", " ax3.set_yscale('log'); ax3.set_ylim(bottom=max(cmax*0.1,1e-8))\n", " ax3.text(0.02,0.95,\"log scale (pdf tiny on linear axis)\", transform=ax3.transAxes,\n", " ha='left',va='top',fontsize=8,color='0.35')\n", "ax3.set(xlim=(0,XMAX),xlabel=\"x\",ylabel=\"density\",title=\"AE ~ Beta-Prime (under fitted classifier)\")\n", "ax3.grid(alpha=0.25,which='both'); ax3.legend(frameon=False)\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 14, "id": "45bd0527", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fit success:True fval:7.410242\n", "p=0.0519 a=874 b=204 s=0.408 k=94.7 th=0.0148 r=0.878\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_12904\\2595502726.py:35: RuntimeWarning: overflow encountered in exp\n", " def sigmoid(t): return 1/(1+np.exp(-t))\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Nonparametric bootstrap used: 499/500\n", "Parametric bootstrap used: 479/500\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Constrained Bayes (Gamma for NC, Beta-Prime for AE) on TRIMMED data\n", "# Bands: nonparametric bootstrap + parametric (unconditional) bootstrap\n", "\n", "import numpy as np, matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "import scipy.io as io\n", "\n", "# ---------------- data (trim out ~2.48) ----------------\n", "X3 = io.loadmat(\"../data/suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "y = io.loadmat(\"../data/flags_combined.mat\")['flags'][0:58, 3].astype(int).ravel()\n", "X = np.nanmax(X3[:, :, 94], axis=1).astype(float).ravel()\n", "X = np.clip(X, 1e-12, None)\n", "\n", "VALUE_TO_DROP = 2.48122597\n", "TOL = 1e-2\n", "keep = np.abs(X - VALUE_TO_DROP) > TOL\n", "X, y = X[keep], y[keep]\n", "\n", "# ---------------- toggles & bootstrap sizes ----------------\n", "USE_PRIOR_P = True\n", "prior_r = (1.05, 1.05) # set to None to disable r-prior\n", "XMAX = 10.0\n", "B_NONPAR = 500 # nonparametric bootstrap reps\n", "B_PARAM = 500 # parametric (unconditional) reps\n", "\n", "# ---------------- priors (from trimmed data) ----------------\n", "TAU = 25.0\n", "p_emp = float(y.mean())\n", "alpha = max(TAU*p_emp, 1e-6)\n", "beta = max(TAU*(1-p_emp), 1e-6)\n", "\n", "# ---------------- helpers ----------------\n", "def logistic(z): return 1/(1+np.exp(-np.clip(z,-60,60)))\n", "def sigmoid(t): return 1/(1+np.exp(-t))\n", "def softplus(t):\n", " t = np.asarray(t,float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t,0)\n", "\n", "def dE_full(x,a,b,s,k,th):\n", " x = np.asarray(x,float); eps=1e-12\n", " s_ = np.clip(s,eps,None); th_=np.clip(th,eps,None)\n", " return ((a-k)*np.log(np.clip(x,eps,None))\n", " - (a+b)*np.log1p(x/s_) + x/th_\n", " - a*np.log(s_) - betaln(a,b) + k*np.log(th_) + gammaln(k))\n", "\n", "def theta_max(a,b,k,s,eps=1e-12):\n", " A=a-k\n", " if A<=0: return np.inf\n", " r=np.sqrt(a+b)-np.sqrt(max(A,eps))\n", " return np.inf if r<=1e-12 else s/(r*r)\n", "\n", "# φ=[p_raw,b_raw,s_raw,k_raw,d_raw,u_raw]; a=k+softplus(d_raw); th=sigmoid(u)*thcap\n", "def unpack(phi):\n", " p_raw,b_raw,s_raw,k_raw,d_raw,u_raw = phi\n", " p = sigmoid(p_raw)\n", " b = softplus(b_raw) + 1e-6\n", " s = softplus(s_raw) + 1e-6\n", " k = softplus(k_raw) + 1e-6\n", " a = k + softplus(d_raw) + 1e-6\n", " thcap = theta_max(a,b,k,s)\n", " th = thcap * sigmoid(u_raw)\n", " return p,a,b,s,k,th,thcap\n", "\n", "def neg_post(phi, X, y):\n", " p,a,b,s,k,th,thcap = unpack(phi); eps=1e-12\n", " L = (np.log(np.clip(p,eps,1)) - np.log(np.clip(1-p,eps,1))) + dE_full(X,a,b,s,k,th)\n", " px = logistic(L)\n", " total = -np.sum(y*np.log(np.clip(px,eps,1)) + (1-y)*np.log(np.clip(1-px,eps,1)))\n", " if USE_PRIOR_P:\n", " total += -((alpha-1)*np.log(np.clip(p,eps,1)) + (beta-1)*np.log(np.clip(1-p,eps,1)))\n", " if prior_r is not None and np.isfinite(thcap) and thcap>0:\n", " r = np.clip(th/thcap, 1e-9, 1-1e-9)\n", " total += -((prior_r[0]-1)*np.log(r) + (prior_r[1]-1)*np.log(1-r))\n", " return total\n", "\n", "def init_phi(X,y):\n", " X0=X[y==0]; m0=X0.mean() if X0.size else X.mean(); v0=X0.var() if X0.size else X.var()\n", " k0=2.0 if v0<=0 else max((m0*m0)/(v0+1e-9),1.5)\n", " X1=X[y==1]; m1=np.median(X1) if X1.size else np.median(X)\n", " p0=np.clip(float(y.mean()),1e-3,1-1e-3); b0,s0=1.5, max(m1,0.5)\n", " return np.array([np.log(p0/(1-p0)),\n", " np.log(np.expm1(b0)+1e-9),\n", " np.log(np.expm1(s0)+1e-9),\n", " np.log(np.expm1(k0)+1e-9),\n", " np.log(np.expm1(1.0)+1e-9),\n", " -0.2], float)\n", "\n", "def fit_once(X,y, rng=np.random.default_rng(0)):\n", " obj=lambda w:neg_post(w,X,y)\n", " w0=init_phi(X,y)\n", " res=optimize.minimize(obj, w0, method=\"L-BFGS-B\",\n", " options={\"maxiter\":6000, \"ftol\":1e-9})\n", " if not (res.success and np.isfinite(res.fun)):\n", " w=w0 + rng.normal(0,0.2,6)\n", " res=optimize.minimize(obj, w, method=\"L-BFGS-B\",\n", " options={\"maxiter\":6000, \"ftol\":1e-9})\n", " return unpack(res.x), res\n", "\n", "def P_with(th, x):\n", " p,a,b,s,k,t,_ = th\n", " return logistic((np.log(p)-np.log(1-p)) + dE_full(x,a,b,s,k,t))\n", "\n", "# ------------ fit on trimmed data ------------\n", "theta_hat, res = fit_once(X,y)\n", "p,a,b,s,k,th,thcap = theta_hat\n", "print(f\"Fit success:{res.success} fval:{float(res.fun):.6f}\")\n", "print(f\"p={p:.4f} a={a:.3g} b={b:.3g} s={s:.3g} k={k:.3g} th={th:.3g} r={float(th/thcap):.3f}\")\n", "\n", "# grid for curves\n", "xc = np.linspace(0, XMAX, 600)\n", "p_map = P_with(theta_hat, xc)\n", "\n", "# ------------ NONPARAMETRIC bootstrap ------------\n", "rng = np.random.default_rng(123)\n", "n = len(X)\n", "curves_np = []\n", "used_np = 0\n", "for brep in range(B_NONPAR):\n", " idx = rng.integers(0, n, n)\n", " Xb, yb = X[idx], y[idx]\n", " # require at least one AE and one NC to be estimable\n", " if (yb.sum()==0) or (yb.sum()==len(yb)):\n", " continue\n", " try:\n", " th_b, res_b = fit_once(Xb, yb, rng)\n", " if not res_b.success or not np.isfinite(res_b.fun):\n", " continue\n", " curves_np.append(P_with(th_b, xc))\n", " used_np += 1\n", " except Exception:\n", " continue\n", "curves_np = np.array(curves_np)\n", "print(f\"Nonparametric bootstrap used: {used_np}/{B_NONPAR}\")\n", "\n", "# pointwise 95% nonparam band\n", "p_lo_np = np.percentile(curves_np, 2.5, axis=0) if used_np>0 else None\n", "p_hi_np = np.percentile(curves_np, 97.5, axis=0) if used_np>0 else None\n", "\n", "# ------------ PARAMETRIC (unconditional) bootstrap ------------\n", "def rvs_gamma(k, theta, size): return rng.gamma(shape=k, scale=theta, size=size)\n", "def rvs_betaprime(a,b,s, size):\n", " g1=rng.gamma(shape=a, scale=1.0, size=size)\n", " g2=rng.gamma(shape=b, scale=1.0, size=size)\n", " return s*(g1/g2)\n", "\n", "curves_pa = []\n", "used_pa = 0\n", "for brep in range(B_PARAM):\n", " y_sim = rng.binomial(1, p, size=n)\n", " if (y_sim.sum()==0) or (y_sim.sum()==n): # need both classes\n", " continue\n", " x_sim = np.empty(n, float)\n", " m_nc = (y_sim==0); m_ae = ~m_nc\n", " x_sim[m_nc] = rvs_gamma(k, th, m_nc.sum())\n", " x_sim[m_ae] = rvs_betaprime(a, b, s, m_ae.sum())\n", " x_sim = np.clip(x_sim, 1e-12, None)\n", " try:\n", " th_b, res_b = fit_once(x_sim, y_sim, rng)\n", " if not res_b.success or not np.isfinite(res_b.fun):\n", " continue\n", " curves_pa.append(P_with(th_b, xc))\n", " used_pa += 1\n", " except Exception:\n", " continue\n", "curves_pa = np.array(curves_pa)\n", "print(f\"Parametric bootstrap used: {used_pa}/{B_PARAM}\")\n", "\n", "# pointwise 95% parametric band\n", "p_lo_pa = np.percentile(curves_pa, 2.5, axis=0) if used_pa>0 else None\n", "p_hi_pa = np.percentile(curves_pa, 97.5, axis=0) if used_pa>0 else None\n", "\n", "# ------------ plot: both bands + MAP ------------\n", "fig, ax = plt.subplots(figsize=(8.8,5.2), dpi=140)\n", "rng_plot = np.random.default_rng(999); jit=(rng_plot.random(len(y))-0.5)*0.06\n", "\n", "if used_pa>0:\n", " ax.fill_between(xc, p_lo_pa, p_hi_pa, color='0.88', label='Parametric 95% CI')\n", "if used_np>0:\n", " ax.fill_between(xc, p_lo_np, p_hi_np, color='0.75', alpha=0.8, label='Nonparametric 95% CI')\n", "\n", "ax.plot(xc, p_map, 'k', lw=2.2, label='P(AE|x) (MAP)')\n", "ax.scatter(X[y==0], (y+jit)[y==0], s=22, alpha=0.55, color=\"#2ca02c\", edgecolors='none', label='NC')\n", "ax.scatter(X[y==1], (y+jit)[y==1], s=26, alpha=0.75, color=\"#ff7f0e\", edgecolors='none', label='AE')\n", "ax.set(xlim=(0, XMAX), ylim=(-0.05, 1.05), xlabel='SUV', ylabel='P(irAE | x)')\n", "ax.set_title(f\"Trimmed (~2.48 removed) | p-prior={USE_PRIOR_P}, r-prior={prior_r}\")\n", "ax.grid(alpha=0.3); ax.legend(frameon=False, loc='lower right')\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "eef715e8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[Fit original] success:True fval=9.572801\n", "params: p=0.0503 a=1.43e+03 b=408 s=0.471 k=167 th=0.00877 r=0.998\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_12904\\414664454.py:35: RuntimeWarning: overflow encountered in exp\n", " def sigmoid(t): return 1/(1+np.exp(-t))\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "[Nonparam] used 993/1000\n", "[Param-conditional] used 992/1000\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "=== Wald (delta) ===\n", "p : 0.0503347 [-0.0390295, 0.139699]\n", "a : 1433.16 [-10375.3, 13241.7]\n", "b : 407.581 [-1467.64, 2282.8]\n", "s : 0.471293 [-5.20651, 6.1491]\n", "k : 167.17 [-451.334, 785.674]\n", "theta : 0.00877438 [-0.0219957, 0.0395444]\n", "\n", "=== Nonparametric bootstrap (percentile) ===\n", "p : 0.0503347 [0.0479538, 0.0535186]\n", "a : 1433.16 [10.0474, 3646.88]\n", "b : 407.581 [1e-06, 1726.46]\n", "s : 0.471293 [0.0784377, 4.02804]\n", "k : 167.17 [0.000278097, 671.866]\n", "theta : 0.00877438 [0.00186568, 0.528742]\n", "x@50% : 1.79008 [1.60752, 3.13716]\n", "slope@50% : 1.80027 [0.111316, 73.0092]\n", "\n", "=== Conditional parametric bootstrap (percentile) ===\n", "p : 0.0503347 [0.0489705, 0.0507565]\n", "a : 1433.16 [32.0304, 11117.7]\n", "b : 407.581 [1e-06, 1759.73]\n", "s : 0.471293 [0.193035, 2.10116]\n", "k : 167.17 [1e-06, 11117.7]\n", "theta : 0.00877438 [7.51429e-05, 1.48605]\n", "x@50% : 1.79008 [1.61781, 2.72267]\n", "slope@50% : 1.80027 [0.206335, 161.557]\n" ] } ], "source": [ "\n", "\n", "import numpy as np, matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "from scipy.optimize import brentq\n", "import scipy.io as io\n", "\n", "# Try numdifftools; fall back to finite differences if missing\n", "try:\n", " import numdifftools as nd\n", " ND_OK = True\n", "except Exception:\n", " ND_OK = False\n", "\n", "# ---------- Data (ORIGINAL) ----------\n", "X3 = io.loadmat(\"../data/suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "y = io.loadmat(\"../data/flags_combined.mat\")['flags'][0:58, 3].astype(int).ravel()\n", "X = np.nanmax(X3[:, :, 94], axis=1).astype(float).ravel()\n", "X = np.clip(X, 1e-12, None)\n", "\n", "# ---------- Toggles ----------\n", "USE_PRIOR_P = True\n", "prior_r = (1.05, 1.05) # set to None to disable\n", "XMAX = 5\n", "B_NONPAR = 1000 # nonparam bootstrap reps\n", "B_PARAM = 1000 # conditional param bootstrap reps\n", "SEED = 123\n", "\n", "# ---------- Priors from data ----------\n", "TAU = 25.0\n", "p_emp = float(y.mean())\n", "alpha = max(TAU*p_emp,1e-6); beta = max(TAU*(1-p_emp),1e-6)\n", "\n", "# ---------- Model helpers ----------\n", "def logistic(z): return 1/(1+np.exp(-np.clip(z,-60,60)))\n", "def sigmoid(t): return 1/(1+np.exp(-t))\n", "def softplus(t):\n", " t = np.asarray(t,float)\n", " return np.log1p(np.exp(-np.abs(t))) + np.maximum(t,0)\n", "\n", "def dE_full(x,a,b,s,k,th):\n", " x = np.asarray(x,float); eps=1e-12\n", " s_ = np.clip(s,eps,None); th_ = np.clip(th,eps,None)\n", " return ((a-k)*np.log(np.clip(x,eps,None)) - (a+b)*np.log1p(x/s_) + x/th_\n", " - a*np.log(s_) - betaln(a,b) + k*np.log(th_) + gammaln(k))\n", "\n", "def theta_max(a,b,k,s,eps=1e-12):\n", " A=a-k\n", " if A<=0: return np.inf\n", " r=np.sqrt(a+b)-np.sqrt(max(A,eps))\n", " return np.inf if r<=1e-12 else s/(r*r)\n", "\n", "# φ=[p_raw,b_raw,s_raw,k_raw,d_raw,u_raw]; a=k+softplus(d_raw); th=sigmoid(u)*thcap\n", "def unpack(phi):\n", " p_raw,b_raw,s_raw,k_raw,d_raw,u_raw = phi\n", " p = sigmoid(p_raw)\n", " b = softplus(b_raw) + 1e-6\n", " s = softplus(s_raw) + 1e-6\n", " k = softplus(k_raw) + 1e-6\n", " a = k + softplus(d_raw) + 1e-6\n", " thcap = theta_max(a,b,k,s)\n", " th = thcap * sigmoid(u_raw)\n", " return p,a,b,s,k,th,thcap\n", "\n", "def neg_post(phi, X, y):\n", " p,a,b,s,k,th,thcap = unpack(phi); eps=1e-12\n", " L = (np.log(np.clip(p,eps,1)) - np.log(np.clip(1-p,eps,1))) + dE_full(X,a,b,s,k,th)\n", " px = logistic(L)\n", " total = -np.sum(y*np.log(np.clip(px,eps,1)) + (1-y)*np.log(np.clip(1-px,eps,1)))\n", " if USE_PRIOR_P:\n", " total += -((alpha-1)*np.log(np.clip(p,eps,1)) + (beta-1)*np.log(np.clip(1-p,eps,1)))\n", " if prior_r is not None and np.isfinite(thcap) and thcap>0:\n", " r = np.clip(th/thcap, 1e-9, 1-1e-9)\n", " total += -((prior_r[0]-1)*np.log(r) + (prior_r[1]-1)*np.log(1-r))\n", " return total\n", "\n", "def init_phi(X,y):\n", " X0=X[y==0]; m0=X0.mean() if X0.size else X.mean(); v0=X0.var() if X0.size else X.var()\n", " k0=2.0 if v0<=0 else max((m0*m0)/(v0+1e-9),1.5)\n", " X1=X[y==1]; m1=np.median(X1) if X1.size else np.median(X)\n", " p0=np.clip(float(y.mean()),1e-3,1-1e-3); b0,s0=1.5, max(m1,0.5)\n", " return np.array([np.log(p0/(1-p0)),\n", " np.log(np.expm1(b0)+1e-9),\n", " np.log(np.expm1(s0)+1e-9),\n", " np.log(np.expm1(k0)+1e-9),\n", " np.log(np.expm1(1.0)+1e-9),\n", " -0.2], float)\n", "\n", "def fit_once(X,y, rng=np.random.default_rng(0)):\n", " obj=lambda w:neg_post(w,X,y)\n", " w0=init_phi(X,y)\n", " res=optimize.minimize(obj, w0, method=\"L-BFGS-B\", options={\"maxiter\":6000,\"ftol\":1e-9})\n", " if not (res.success and np.isfinite(res.fun)):\n", " w=w0 + rng.normal(0,0.2,6)\n", " res=optimize.minimize(obj, w, method=\"L-BFGS-B\", options={\"maxiter\":6000,\"ftol\":1e-9})\n", " return unpack(res.x), res\n", "\n", "def P_with(theta, x):\n", " p,a,b,s,k,th,_ = theta\n", " return logistic((np.log(p)-np.log(1-p)) + dE_full(x,a,b,s,k,th))\n", "\n", "# ---------- Derived metrics ----------\n", "def x_at_p(theta, p_target=0.5, lo=1e-6, hi=10.0):\n", " f = lambda x: P_with(theta, x) - p_target\n", " try:\n", " if f(lo)*f(hi) > 0: return np.nan\n", " return float(brentq(f, lo, hi))\n", " except Exception:\n", " return np.nan\n", "\n", "def slope_at_x(theta, x0):\n", " if not np.isfinite(x0): return np.nan\n", " h = 1e-3*(1+abs(x0))\n", " return float((P_with(theta, x0+h)-P_with(theta, x0-h))/(2*h))\n", "\n", "# ---------- Fit on original data ----------\n", "theta_hat, res = fit_once(X,y)\n", "p,a,b,s,k,th,thcap = theta_hat\n", "print(f\"[Fit original] success:{res.success} fval={float(res.fun):.6f}\")\n", "print(f\"params: p={p:.4f} a={a:.3g} b={b:.3g} s={s:.3g} k={k:.3g} th={th:.3g} r={float(th/thcap):.3f}\")\n", "\n", "xc = np.linspace(0, XMAX, 600)\n", "p_map = P_with(theta_hat, xc)\n", "x50 = x_at_p(theta_hat, 0.5)\n", "s50 = slope_at_x(theta_hat, x50)\n", "\n", "# ---------- Wald band (and Wald param CIs) ----------\n", "def hess_fd(F, x):\n", " x = np.asarray(x,float)\n", " n = x.size; H = np.zeros((n,n))\n", " h = 1e-4*(1+np.abs(x))\n", " def grad_fd(G, z):\n", " g = np.zeros_like(z)\n", " for j in range(n):\n", " ej = np.zeros_like(z); ej[j]=1.0\n", " g[j] = (G(z + h[j]*ej) - G(z - h[j]*ej))/(2*h[j])\n", " return g\n", " for i in range(n):\n", " ei=np.zeros_like(x); ei[i]=1.0\n", " g_plus = grad_fd(F, x + h[i]*ei)\n", " g_minus = grad_fd(F, x - h[i]*ei)\n", " H[:,i] = (g_plus - g_minus)/(2*h[i])\n", " return 0.5*(H+H.T)\n", "\n", "phi_hat = res.x\n", "if ND_OK:\n", " H = nd.Hessian(lambda w: neg_post(w, X, y))(phi_hat)\n", " Jp = nd.Jacobian(lambda w: P_with(unpack(w), xc))(phi_hat) # (len(xc),6)\n", " Jt = nd.Jacobian(lambda w: np.array(unpack(w)[:6]))(phi_hat) # (6,6) for parameter delta-method\n", "else:\n", " H = hess_fd(lambda w: neg_post(w, X, y), phi_hat)\n", " # Jacobian by finite diff\n", " def jac_fd(Fvec, w):\n", " f0 = Fvec(w); m = f0.size; n = w.size\n", " J = np.zeros((m,n)); h = 1e-4*(1+np.abs(w))\n", " for j in range(n):\n", " ej = np.zeros_like(w); ej[j]=1.0\n", " J[:,j] = (Fvec(w + h[j]*ej) - Fvec(w - h[j]*ej))/(2*h[j])\n", " return J\n", " Jp = jac_fd(lambda w: P_with(unpack(w), xc), phi_hat)\n", " Jt = jac_fd(lambda w: np.array(unpack(w)[:6]), phi_hat)\n", "\n", "try:\n", " Sigma_phi = np.linalg.inv(H)\n", "except np.linalg.LinAlgError:\n", " Sigma_phi = np.linalg.pinv(H)\n", "\n", "# Wald band for curve\n", "var_p = np.einsum('ij,jk,ik->i', Jp, Sigma_phi, Jp)\n", "se_p = np.sqrt(np.maximum(var_p,0.0))\n", "p_wlo = np.clip(p_map - 1.96*se_p, 0, 1)\n", "p_whi = np.clip(p_map + 1.96*se_p, 0, 1)\n", "\n", "# Wald param CIs via delta-method\n", "Sigma_theta = Jt @ Sigma_phi @ Jt.T\n", "theta_vec = np.array([p,a,b,s,k,th])\n", "se_theta = np.sqrt(np.maximum(np.diag(Sigma_theta), 0.0))\n", "wald_param_lo = theta_vec - 1.96*se_theta\n", "wald_param_hi = theta_vec + 1.96*se_theta\n", "\n", "# ---------- Nonparametric bootstrap (pairs) ----------\n", "rng = np.random.default_rng(SEED)\n", "n = len(X)\n", "curves_np = []; thetas_np = []; x50_np=[]; s50_np=[]\n", "used_np=0\n", "for _ in range(B_NONPAR):\n", " idx = rng.integers(0, n, n)\n", " Xb, yb = X[idx], y[idx]\n", " if yb.sum()==0 or yb.sum()==len(yb): # need both classes\n", " continue\n", " try:\n", " thb, resb = fit_once(Xb, yb, rng)\n", " if not resb.success or not np.isfinite(resb.fun): continue\n", " curves_np.append(P_with(thb, xc))\n", " thetas_np.append(thb[:6])\n", " x50_np.append(x_at_p(thb, 0.5))\n", " s50_np.append(slope_at_x(thb, x50_np[-1]))\n", " used_np += 1\n", " except Exception:\n", " continue\n", "curves_np = np.asarray(curves_np)\n", "thetas_np = np.asarray(thetas_np)\n", "x50_np = np.asarray(x50_np)\n", "s50_np = np.asarray(s50_np)\n", "print(f\"[Nonparam] used {used_np}/{B_NONPAR}\")\n", "\n", "# Nonparam bands and param CIs\n", "np_lo = np.percentile(curves_np, 2.5, axis=0) if used_np else None\n", "np_hi = np.percentile(curves_np, 97.5, axis=0) if used_np else None\n", "np_params_lo = np.percentile(thetas_np, 2.5, axis=0) if used_np else None\n", "np_params_hi = np.percentile(thetas_np, 97.5, axis=0) if used_np else None\n", "np_x50_lo, np_x50_hi = (np.nanpercentile(x50_np, 2.5), np.nanpercentile(x50_np,97.5)) if used_np else (np.nan,np.nan)\n", "np_s50_lo, np_s50_hi = (np.nanpercentile(s50_np, 2.5), np.nanpercentile(s50_np,97.5)) if used_np else (np.nan,np.nan)\n", "\n", "# ---------- Conditional parametric bootstrap (labels only) ----------\n", "curves_pc=[]; thetas_pc=[]; x50_pc=[]; s50_pc=[]\n", "used_pc=0\n", "px_obs = np.clip(P_with(theta_hat, X), 1e-9, 1-1e-9)\n", "for _ in range(B_PARAM):\n", " yb = rng.binomial(1, px_obs)\n", " if yb.sum()==0 or yb.sum()==len(yb): continue\n", " try:\n", " thb, resb = fit_once(X, yb, rng)\n", " if not resb.success or not np.isfinite(resb.fun): continue\n", " curves_pc.append(P_with(thb, xc))\n", " thetas_pc.append(thb[:6])\n", " x50_pc.append(x_at_p(thb, 0.5))\n", " s50_pc.append(slope_at_x(thb, x50_pc[-1]))\n", " used_pc += 1\n", " except Exception:\n", " continue\n", "curves_pc = np.asarray(curves_pc)\n", "thetas_pc = np.asarray(thetas_pc)\n", "x50_pc = np.asarray(x50_pc)\n", "s50_pc = np.asarray(s50_pc)\n", "print(f\"[Param-conditional] used {used_pc}/{B_PARAM}\")\n", "\n", "pc_lo = np.percentile(curves_pc, 2.5, axis=0) if used_pc else None\n", "pc_hi = np.percentile(curves_pc, 97.5, axis=0) if used_pc else None\n", "pc_params_lo = np.percentile(thetas_pc, 2.5, axis=0) if used_pc else None\n", "pc_params_hi = np.percentile(thetas_pc, 97.5, axis=0) if used_pc else None\n", "pc_x50_lo, pc_x50_hi = (np.nanpercentile(x50_pc,2.5), np.nanpercentile(x50_pc,97.5)) if used_pc else (np.nan,np.nan)\n", "pc_s50_lo, pc_s50_hi = (np.nanpercentile(s50_pc,2.5), np.nanpercentile(s50_pc,97.5)) if used_pc else (np.nan,np.nan)\n", "\n", "# ---------- Plot (sharp colors) ----------\n", "fig, ax = plt.subplots(figsize=(9.2,5.4), dpi=140)\n", "# Wald band\n", "ax.fill_between(xc, p_wlo, p_whi, color='#1f77b4', alpha=0.20, label='Wald 95%')\n", "# Nonparam band\n", "if used_np:\n", " ax.fill_between(xc, np_lo, np_hi, color='#2ca02c', alpha=0.18, label='Nonparam 95%')\n", "# Conditional param band\n", "if used_pc:\n", " ax.fill_between(xc, pc_lo, pc_hi, color='#ff7f0e', alpha=0.18, label='Conditional param 95%')\n", "\n", "ax.plot(xc, p_map, 'k', lw=2.2, label='P(irAE|x) (MAP)')\n", "rng_plot = np.random.default_rng(999); jit=(rng_plot.random(len(y))-0.5)*0.06\n", "# points (keep these labels for the legend)\n", "ax.scatter(X[y==0], (y+jit)[y==0], s=20, alpha=0.55, color=\"#2ca02c\",\n", "edgecolors='none', label='NC')\n", "ax.scatter(X[y==1], (y+jit)[y==1], s=24, alpha=0.75, color=\"#ff7f0e\",\n", "edgecolors='none', label='AE') # <- was 'irAE'\n", "\n", "# axes labels & title to match the example figure\n", "ax.set(xlim=(0, XMAX), ylim=(-0.05, 1.05))\n", "ax.set_xlabel(r'$x=\\max_{\\mathrm{visit}}\\mathrm{SUV}(\\mathrm{visit},\\,p)$')\n", "ax.set_ylabel(r'$P(\\mathrm{AE}\\mid x)$')\n", "ax.set_title('cond. prob. for AE')\n", "\n", "ax.grid(alpha=0.30); ax.legend(frameon=False, loc='lower right')\n", "plt.tight_layout(); plt.show()\n", "\n", "# ---------- CI tables ----------\n", "names = ['p','a','b','s','k','theta']\n", "def print_table(title, lo, hat, hi, x50_ci=None, s50_ci=None):\n", " print(f\"\\n=== {title} ===\")\n", " if lo is None:\n", " print(\"Insufficient successful replicates.\")\n", " return\n", " for i,nm in enumerate(names):\n", " print(f\"{nm:6s}: {hat[i]:.6g} [{lo[i]:.6g}, {hi[i]:.6g}]\")\n", " if x50_ci is not None:\n", " print(f\"x@50% : {x50:.6g} [{x50_ci[0]:.6g}, {x50_ci[1]:.6g}]\")\n", " if s50_ci is not None:\n", " print(f\"slope@50% : {s50:.6g} [{s50_ci[0]:.6g}, {s50_ci[1]:.6g}]\")\n", "\n", "\n", "print_table(\"Wald (delta)\", wald_param_lo, theta_vec, wald_param_hi)\n", "print_table(\"Nonparametric bootstrap (percentile)\", np_params_lo, theta_vec, np_params_hi,\n", " x50_ci=(np_x50_lo, np_x50_hi), s50_ci=(np_s50_lo, np_s50_hi))\n", "print_table(\"Conditional parametric bootstrap (percentile)\", pc_params_lo, theta_vec, pc_params_hi,\n", " x50_ci=(pc_x50_lo, pc_x50_hi), s50_ci=(pc_s50_lo, pc_s50_hi))" ] }, { "cell_type": "code", "execution_count": 22, "id": "92a15017", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_12904\\4021414144.py:42: RuntimeWarning: overflow encountered in exp\n", " sigmoid = lambda t: 1/(1+np.exp(-t))\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "=== Wald (delta) ===\n", "p : 0.0518639 [-0.0387635, 0.142491]\n", "a : 873.527 [-3004.88, 4751.93]\n", "b : 204.337 [204.337, 204.337]\n", "s : 0.407629 [-4.74734, 5.5626]\n", "k : 94.6704 [94.6704, 94.6704]\n", "theta : 0.0147748 [0.0147748, 0.0147748]\n", "\n", "=== Nonparametric bootstrap (percentile) ===\n", "p : 0.0518639 [0.0486407, 0.0537624]\n", "a : 873.527 [45.9788, 3616.13]\n", "b : 204.337 [1e-06, 1880.07]\n", "s : 0.407629 [0.269731, 2.42691]\n", "k : 94.6704 [4.16646, 885.652]\n", "theta : 0.0147748 [0.0016567, 0.152072]\n", "x@50% : 1.75483 [1.60746, 3.32508]\n", "slope@50% : 3.26836 [1.50435, 75.6751]\n", "\n", "=== Unconditional parametric bootstrap (percentile) ===\n", "p : 0.0518639 [0.0518114, 0.0519427]\n", "a : 873.527 [23.8456, 300.06]\n", "b : 204.337 [0.824979, 133.289]\n", "s : 0.407629 [0.394571, 2.65233]\n", "k : 94.6704 [13.0916, 166.4]\n", "theta : 0.0147748 [0.00555085, 0.0574903]\n", "x@50% : 1.75483 [1.69424, 2.78536]\n", "slope@50% : 3.26836 [2.7054, 30.3799]\n" ] } ], "source": [ "# ===================== Script B (Short) : TRIMMED data =====================\n", "# Constrained Bayes (Gamma for NC, Beta-Prime for AE)\n", "# Bands: Wald (finite-diff), Nonparam bootstrap, Uncond. param bootstrap\n", "# Figure: one plot, all bands, with AIC/BIC (likelihood-only)\n", "\n", "import numpy as np, matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "from scipy.optimize import brentq\n", "import scipy.io as io\n", "\n", "# ---------- Config ----------\n", "DATA_SUV = \"../data/suv_percentilesSLOthenUWM.mat\"\n", "DATA_FLG = \"../data/flags_combined.mat\"\n", "MAT_KEY = \"lung_SUVperc_COMBINED\"\n", "FLAGCOL = 3 # y = flags[:, 3]\n", "N_USE = 58 # use first 58 rows\n", "DROP_VAL = 2.48122597 # the offending SUV to trim\n", "TOL = 1e-2\n", "XMAX = 10.0\n", "B_NONPAR = 400\n", "B_PARAM = 400\n", "SEED = 321\n", "TAU = 25.0 # Beta prior strength on prevalence\n", "PRIOR_R = (1.05, 1.05) # Beta prior on r = theta/theta_max (weakly pushes away from boundaries)\n", "USE_PRIOR_P = True\n", "\n", "# ---------- Data (trim) ----------\n", "X3 = io.loadmat(DATA_SUV)[MAT_KEY][0:N_USE, :, :]\n", "y = io.loadmat(DATA_FLG)[\"flags\"][0:N_USE, FLAGCOL].astype(int).ravel()\n", "X = np.nanmax(X3[:, :, 94], axis=1).astype(float).ravel()\n", "X = np.clip(X, 1e-12, None)\n", "keep = np.abs(X - DROP_VAL) > TOL\n", "X, y = X[keep], y[keep]\n", "n = len(X)\n", "\n", "# ---------- Priors ----------\n", "p_emp = float(y.mean())\n", "alpha = max(TAU*p_emp, 1e-6); beta = max(TAU*(1-p_emp), 1e-6)\n", "\n", "# ---------- Tiny utility belt ----------\n", "sigmoid = lambda t: 1/(1+np.exp(-t))\n", "softplus = lambda t: np.log1p(np.exp(-np.abs(t))) + np.maximum(t,0)\n", "def logistic(z): return 1/(1+np.exp(-np.clip(z,-60,60)))\n", "\n", "def dE_full(x,a,b,s,k,th):\n", " x = np.asarray(x,float); eps=1e-12\n", " s_ = np.clip(s,eps,None); th_ = np.clip(th,eps,None)\n", " return ((a-k)*np.log(np.clip(x,eps,None)) - (a+b)*np.log1p(x/s_) + x/th_\n", " - a*np.log(s_) - betaln(a,b) + k*np.log(th_) + gammaln(k))\n", "\n", "def theta_max(a,b,k,s,eps=1e-12):\n", " A = a - k\n", " if A <= 0: return np.inf\n", " r = np.sqrt(a+b) - np.sqrt(max(A,eps))\n", " return np.inf if r <= 1e-12 else s/(r*r)\n", "\n", "def unpack(phi):\n", " p_raw,b_raw,s_raw,k_raw,d_raw,u_raw = phi\n", " p = sigmoid(p_raw)\n", " b = softplus(b_raw) + 1e-6\n", " s = softplus(s_raw) + 1e-6\n", " k = softplus(k_raw) + 1e-6\n", " a = k + softplus(d_raw) + 1e-6\n", " thcap = theta_max(a,b,k,s)\n", " th = thcap * sigmoid(u_raw)\n", " return p,a,b,s,k,th,thcap\n", "\n", "def neg_post(phi, X, y):\n", " p,a,b,s,k,th,thcap = unpack(phi); eps=1e-12\n", " L = (np.log(np.clip(p,eps,1)) - np.log(np.clip(1-p,eps,1))) + dE_full(X,a,b,s,k,th)\n", " px = logistic(L)\n", " total = -np.sum(y*np.log(np.clip(px,eps,1)) + (1-y)*np.log(np.clip(1-px,eps,1)))\n", " if USE_PRIOR_P:\n", " total += -((alpha-1)*np.log(np.clip(p,eps,1)) + (beta-1)*np.log(np.clip(1-p,eps,1)))\n", " if PRIOR_R is not None and np.isfinite(thcap) and thcap > 0:\n", " r = np.clip(th/thcap, 1e-9, 1-1e-9)\n", " total += -((PRIOR_R[0]-1)*np.log(r) + (PRIOR_R[1]-1)*np.log(1-r))\n", " return total\n", "\n", "def init_phi(X,y):\n", " X0=X[y==0]; m0=X0.mean() if X0.size else X.mean(); v0=X0.var() if X0.size else X.var()\n", " k0=2.0 if v0<=0 else max((m0*m0)/(v0+1e-9),1.5)\n", " X1=X[y==1]; m1=np.median(X1) if X1.size else np.median(X)\n", " p0=np.clip(float(y.mean()),1e-3,1-1e-3); b0,s0=1.5, max(m1,0.5)\n", " return np.array([np.log(p0/(1-p0)),\n", " np.log(np.expm1(b0)+1e-9),\n", " np.log(np.expm1(s0)+1e-9),\n", " np.log(np.expm1(k0)+1e-9),\n", " np.log(np.expm1(1.0)+1e-9),\n", " -0.2], float)\n", "\n", "def fit_once(X,y, rng=np.random.default_rng(0)):\n", " w0=init_phi(X,y)\n", " obj=lambda w:neg_post(w,X,y)\n", " res=optimize.minimize(obj, w0, method=\"L-BFGS-B\",\n", " options={\"maxiter\":6000,\"ftol\":1e-9})\n", " if not (res.success and np.isfinite(res.fun)):\n", " res=optimize.minimize(obj, w0 + rng.normal(0,0.2,6), method=\"L-BFGS-B\",\n", " options={\"maxiter\":6000,\"ftol\":1e-9})\n", " return unpack(res.x), res.x, res\n", "\n", "def P_with(theta, x):\n", " p,a,b,s,k,th,_ = theta\n", " return logistic((np.log(p)-np.log(1-p)) + dE_full(x,a,b,s,k,th))\n", "\n", "def x_at_p(theta, p_target=0.5, lo=1e-6, hi=10.0):\n", " f = lambda x: P_with(theta, x) - p_target\n", " try:\n", " return float(brentq(f, lo, hi)) if f(lo)*f(hi) <= 0 else np.nan\n", " except Exception:\n", " return np.nan\n", "\n", "def slope_at_x(theta, x0):\n", " if not np.isfinite(x0): return np.nan\n", " h = 1e-3*(1+abs(x0))\n", " return float((P_with(theta, x0+h)-P_with(theta, x0-h))/(2*h))\n", "\n", "# finite-diff helpers (short and serviceable)\n", "def hess_fd(F, w):\n", " w=np.asarray(w,float); n=w.size; H=np.zeros((n,n)); h=1e-4*(1+np.abs(w))\n", " def grad(z):\n", " g=np.zeros(n)\n", " for j in range(n):\n", " e=np.zeros(n); e[j]=1\n", " g[j]=(F(z+h[j]*e)-F(z-h[j]*e))/(2*h[j])\n", " return g\n", " for i in range(n):\n", " e=np.zeros(n); e[i]=1\n", " H[:,i]=(grad(w+h[i]*e)-grad(w-h[i]*e))/(2*h[i])\n", " return 0.5*(H+H.T)\n", "\n", "def jac_fd(G, w):\n", " w=np.asarray(w,float); f0=np.asarray(G(w)); m=f0.size; n=w.size\n", " J=np.zeros((m,n)); h=1e-4*(1+np.abs(w))\n", " for j in range(n):\n", " e=np.zeros(n); e[j]=1\n", " J[:,j]=(np.asarray(G(w+h[j]*e))-np.asarray(G(w-h[j]*e)))/(2*h[j])\n", " return J\n", "\n", "# ---------- Fit ----------\n", "theta_hat, phi_hat, res = fit_once(X,y, np.random.default_rng(SEED))\n", "p,a,b,s,k,th,thcap = theta_hat\n", "xc = np.linspace(0, XMAX, 600)\n", "pmap = P_with(theta_hat, xc)\n", "x50 = x_at_p(theta_hat, 0.5)\n", "s50 = slope_at_x(theta_hat, x50)\n", "\n", "# ---------- Wald band (delta) ----------\n", "H = hess_fd(lambda w: neg_post(w, X, y), phi_hat)\n", "Sigma_phi = np.linalg.pinv(H) # safe pseudo-inv\n", "Jp = jac_fd(lambda w: P_with(unpack(w), xc), phi_hat)\n", "Jt = jac_fd(lambda w: np.array(unpack(w)[:6]), phi_hat)\n", "var_p = np.einsum('ij,jk,ik->i', Jp, Sigma_phi, Jp)\n", "se_p = np.sqrt(np.maximum(var_p,0.0))\n", "p_wlo = np.clip(pmap - 1.96*se_p, 0, 1)\n", "p_whi = np.clip(pmap + 1.96*se_p, 0, 1)\n", "\n", "Sigma_theta = Jt @ Sigma_phi @ Jt.T\n", "theta_vec = np.array([p,a,b,s,k,th])\n", "se_theta = np.sqrt(np.maximum(np.diag(Sigma_theta), 0.0))\n", "wald_param_lo = theta_vec - 1.96*se_theta\n", "wald_param_hi = theta_vec + 1.96*se_theta\n", "\n", "# ---------- Bootstraps ----------\n", "rng = np.random.default_rng(SEED)\n", "\n", "# Nonparametric\n", "curves_np=[]; used_np=0; thetas_np=[]; x50_np=[]; s50_np=[]\n", "for _ in range(B_NONPAR):\n", " idx = rng.integers(0, n, n)\n", " Xb, yb = X[idx], y[idx]\n", " if yb.sum()==0 or yb.sum()==len(yb): continue\n", " try:\n", " thb, _, resb = fit_once(Xb, yb, rng)\n", " if not resb.success or not np.isfinite(resb.fun): continue\n", " curves_np.append(P_with(thb, xc)); thetas_np.append(thb[:6])\n", " x_ = x_at_p(thb, 0.5); x50_np.append(x_)\n", " s50_np.append(slope_at_x(thb, x_)); used_np += 1\n", " except Exception:\n", " pass\n", "curves_np = np.asarray(curves_np) if used_np else None\n", "np_lo = np.percentile(curves_np, 2.5, axis=0) if used_np else None\n", "np_hi = np.percentile(curves_np, 97.5, axis=0) if used_np else None\n", "np_params_lo = np.percentile(np.asarray(thetas_np), 2.5, axis=0) if used_np else None\n", "np_params_hi = np.percentile(np.asarray(thetas_np), 97.5, axis=0) if used_np else None\n", "np_x50_lo, np_x50_hi = (np.nanpercentile(np.asarray(x50_np),2.5),\n", " np.nanpercentile(np.asarray(x50_np),97.5)) if used_np else (np.nan,np.nan)\n", "np_s50_lo, np_s50_hi = (np.nanpercentile(np.asarray(s50_np),2.5),\n", " np.nanpercentile(np.asarray(s50_np),97.5)) if used_np else (np.nan,np.nan)\n", "\n", "# Unconditional parametric (simulate from fitted mixture)\n", "def rvs_gamma(k, theta, size): return rng.gamma(shape=k, scale=theta, size=size)\n", "def rvs_betaprime(a,b,s, size):\n", " g1=rng.gamma(shape=a, scale=1.0, size=size)\n", " g2=rng.gamma(shape=b, scale=1.0, size=size)\n", " return s*(g1/g2)\n", "\n", "curves_pu=[]; used_pu=0; thetas_pu=[]; x50_pu=[]; s50_pu=[]\n", "p0,a0,b0,s0,k0,th0,_ = theta_hat\n", "for _ in range(B_PARAM):\n", " yb = rng.binomial(1, p0, size=n)\n", " if yb.sum()==0 or yb.sum()==n: continue\n", " xb = np.empty(n,float)\n", " m_nc = (yb==0); m_ae = ~m_nc\n", " xb[m_nc] = rvs_gamma(k0, th0, m_nc.sum())\n", " xb[m_ae] = rvs_betaprime(a0, b0, s0, m_ae.sum())\n", " xb = np.clip(xb, 1e-12, None)\n", " try:\n", " thb, _, resb = fit_once(xb, yb, rng)\n", " if not resb.success or not np.isfinite(resb.fun): continue\n", " curves_pu.append(P_with(thb, xc)); thetas_pu.append(thb[:6])\n", " x_ = x_at_p(thb, 0.5); x50_pu.append(x_)\n", " s50_pu.append(slope_at_x(thb, x_)); used_pu += 1\n", " except Exception:\n", " pass\n", "curves_pu = np.asarray(curves_pu) if used_pu else None\n", "pu_lo = np.percentile(curves_pu, 2.5, axis=0) if used_pu else None\n", "pu_hi = np.percentile(curves_pu, 97.5, axis=0) if used_pu else None\n", "pu_params_lo = np.percentile(np.asarray(thetas_pu), 2.5, axis=0) if used_pu else None\n", "pu_params_hi = np.percentile(np.asarray(thetas_pu), 97.5, axis=0) if used_pu else None\n", "pu_x50_lo, pu_x50_hi = (np.nanpercentile(np.asarray(x50_pu),2.5),\n", " np.nanpercentile(np.asarray(x50_pu),97.5)) if used_pu else (np.nan,np.nan)\n", "pu_s50_lo, pu_s50_hi = (np.nanpercentile(np.asarray(s50_pu),2.5),\n", " np.nanpercentile(np.asarray(s50_pu),97.5)) if used_pu else (np.nan,np.nan)\n", "\n", "# ---------- GOF (likelihood-only) ----------\n", "def _nll_likelihood_only(theta, X, y, eps=1e-12):\n", " p,a,b,s,k,th,_ = theta\n", " L = (np.log(np.clip(p,eps,1)) - np.log(np.clip(1-p,eps,1))) + dE_full(X, a, b, s, k, th)\n", " px = logistic(L)\n", " return -np.sum(y*np.log(np.clip(px,eps,1)) + (1-y)*np.log(np.clip(1-px,eps,1)))\n", "\n", "nll = _nll_likelihood_only(theta_hat, X, y)\n", "k_params = 6\n", "AIC = 2*k_params + 2*nll\n", "BIC = k_params*np.log(len(X)) + 2*nll\n", "\n", "# ---------- Plot: single figure with three bands + AIC/BIC ----------\n", "fig, ax = plt.subplots(figsize=(9.2,5.4), dpi=140)\n", "\n", "if used_pu:\n", " ax.fill_between(xc, pu_lo, pu_hi, color='#d62728', alpha=0.20,\n", " label='Uncond. param 95%', zorder=1)\n", "if used_np:\n", " ax.fill_between(xc, np_lo, np_hi, color='#2ca02c', alpha=0.18,\n", " label='Nonparam 95%', zorder=2)\n", "ax.fill_between(xc, p_wlo, p_whi, color='#1f77b4', alpha=0.20,\n", " label='Wald 95% (logit)', zorder=3)\n", "\n", "ax.plot(xc, pmap, 'k', lw=2.2, label='P(irAE|x) (MAP)', zorder=4)\n", "\n", "rng_plot = np.random.default_rng(999); jit=(rng_plot.random(len(y))-0.5)*0.06\n", "ax.scatter(X[y==0], (y+jit)[y==0], s=20, alpha=0.55, color=\"#2ca02c\",\n", " edgecolors='none', label='NC', zorder=5)\n", "ax.scatter(X[y==1], (y+jit)[y==1], s=24, alpha=0.75, color=\"#ff7f0e\",\n", " edgecolors='none', label='irAE', zorder=6)\n", "\n", "ax.set(xlim=(0, XMAX), ylim=(-0.05, 1.05), xlabel='SUV', ylabel='P(irAE | x)')\n", "ax.set_title('Trimmed data: Wald (logit) + Nonparam + Uncond. param bands')\n", "\n", "ax.text(0.02, 0.98, f\"AIC: {AIC:.3f}\\nBIC: {BIC:.3f}\",\n", " transform=ax.transAxes, va='top', ha='left', fontsize=10,\n", " bbox=dict(boxstyle='round', facecolor='white', alpha=0.85, edgecolor='none'))\n", "\n", "ax.grid(alpha=0.30); ax.legend(frameon=False, loc='lower right')\n", "plt.tight_layout(); plt.show()\n", "\n", "# ---------- Optional: quick CI tables (still short) ----------\n", "def print_table(title, lo, hat, hi, x50_ci=None, s50_ci=None):\n", " print(f\"\\n=== {title} ===\")\n", " if lo is None: print(\"Insufficient successful replicates.\"); return\n", " names = ['p','a','b','s','k','theta']\n", " for i,nm in enumerate(names):\n", " print(f\"{nm:6s}: {hat[i]:.6g} [{lo[i]:.6g}, {hi[i]:.6g}]\")\n", " if x50_ci is not None: print(f\"x@50% : {x50:.6g} [{x50_ci[0]:.6g}, {x50_ci[1]:.6g}]\")\n", " if s50_ci is not None: print(f\"slope@50% : {s50:.6g} [{s50_ci[0]:.6g}, {s50_ci[1]:.6g}]\")\n", "\n", "print_table(\"Wald (delta)\", wald_param_lo, theta_vec, wald_param_hi)\n", "print_table(\"Nonparametric bootstrap (percentile)\", np_params_lo, theta_vec, np_params_hi,\n", " x50_ci=(np_x50_lo, np_x50_hi), s50_ci=(np_s50_lo, np_s50_hi))\n", "print_table(\"Unconditional parametric bootstrap (percentile)\", pu_params_lo, theta_vec, pu_params_hi,\n", " x50_ci=(pu_x50_lo, pu_x50_hi), s50_ci=(pu_s50_lo, pu_s50_hi))\n" ] }, { "cell_type": "code", "execution_count": 28, "id": "1bb8cc7d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[Fit original] success:True fval=9.572801\n", "params: p=0.0503 a=1.43e+03 b=408 s=0.471 k=167 th=0.00877 r=0.998\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_12904\\1135132739.py:41: RuntimeWarning: overflow encountered in exp\n", " def sigmoid(t): return 1/(1+np.exp(-t))\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "=== Bootstrap usage ===\n", "Conditional: used 797/800\n", "Unconditional: used 764/800\n", "\n", "=== Band width (probability scale over grid x in [0, 5.00]) ===\n", "Conditional band: mean=0.2055 min=0.0000 max=1.0000\n", "Unconditional band: mean=0.0767 min=0.0000 max=1.0000\n", "\n", "=== Conditional parametric (percentile 95% CIs) ===\n", "p : [0.0495341, 0.0513272]\n", "a : [32.0304, 11117.7]\n", "b : [1e-06, 1803.28]\n", "s : [0.195104, 2.06684]\n", "k : [1e-06, 11117.7]\n", "theta : [7.51429e-05, 1.48605]\n", "x@50% : [1.61781, 2.56175]\n", "slope@50% : [0.226687, 161.557]\n", "\n", "=== Unconditional parametric (percentile 95% CIs) ===\n", "p : [0.0502245, 0.0502252]\n", "a : [123.641, 264.051]\n", "b : [1.5, 1.5]\n", "s : [1.52802, 1.78793]\n", "k : [122.223, 263.051]\n", "theta : [0.00343951, 0.00807564]\n", "x@50% : [2.11503, 2.49855]\n", "slope@50% : [23.0164, 52.5865]\n", "\n", "=== Medians (x@50%, slope@50%) ===\n", "Conditional: x50=1.905 slope50=2.498\n", "Unconditional: x50=2.304 slope50=34.33\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ===================== Conditional vs Unconditional Param Bootstrap (ORIGINAL) =====================\n", "# Model: NC ~ Gamma(k, theta), AE ~ Beta-Prime(a, b, scale s); P(AE)=p\n", "# Bands: conditional parametric (fix X, resample y|X) vs unconditional parametric (resample X,y)\n", "# Output: single plot with both 95% bands + printed summaries of CIs and band widths\n", "\n", "import numpy as np, matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "from scipy.optimize import brentq\n", "import scipy.io as io\n", "\n", "# ---------- Config ----------\n", "DATA_SUV = \"../data/suv_percentilesSLOthenUWM.mat\"\n", "DATA_FLG = \"../data/flags_combined.mat\"\n", "MAT_KEY = \"lung_SUVperc_COMBINED\"\n", "FLAGCOL = 3\n", "N_USE = 58\n", "X_PLANE = 94\n", "XMAX = 5.0\n", "GRID_N = 600\n", "B_COND = 800 # conditional parametric reps (labels only)\n", "B_UNCOND = 800 # unconditional parametric reps (simulate X and y)\n", "SEED = 123\n", "USE_PRIOR_P = True\n", "TAU = 25.0\n", "PRIOR_R = (1.05, 1.05) # weak Beta prior on r = theta/theta_max\n", "\n", "# ---------- Data (ORIGINAL) ----------\n", "X3 = io.loadmat(DATA_SUV)[MAT_KEY][0:N_USE, :, :]\n", "y = io.loadmat(DATA_FLG)[\"flags\"][0:N_USE, FLAGCOL].astype(int).ravel()\n", "X = np.nanmax(X3[:, :, X_PLANE], axis=1).astype(float).ravel()\n", "X = np.clip(X, 1e-12, None)\n", "n = len(X)\n", "\n", "# ---------- Priors ----------\n", "p_emp = float(y.mean())\n", "alpha = max(TAU*p_emp, 1e-6); beta = max(TAU*(1-p_emp), 1e-6)\n", "\n", "# ---------- Utilities ----------\n", "def logistic(z): return 1/(1+np.exp(-np.clip(z,-60,60)))\n", "def sigmoid(t): return 1/(1+np.exp(-t))\n", "def softplus(t): return np.log1p(np.exp(-np.abs(t))) + np.maximum(t,0)\n", "\n", "def dE_full(x,a,b,s,k,th):\n", " x = np.asarray(x,float); eps=1e-12\n", " s_ = np.clip(s,eps,None); th_ = np.clip(th,eps,None)\n", " return ((a-k)*np.log(np.clip(x,eps,None)) - (a+b)*np.log1p(x/s_) + x/th_\n", " - a*np.log(s_) - betaln(a,b) + k*np.log(th_) + gammaln(k))\n", "\n", "def theta_max(a,b,k,s,eps=1e-12):\n", " A = a - k\n", " if A <= 0: return np.inf\n", " r = np.sqrt(a+b) - np.sqrt(max(A,eps))\n", " return np.inf if r <= 1e-12 else s/(r*r)\n", "\n", "# φ=[p_raw,b_raw,s_raw,k_raw,d_raw,u_raw]; a=k+softplus(d_raw); th=sigmoid(u)*thcap\n", "def unpack(phi):\n", " p_raw,b_raw,s_raw,k_raw,d_raw,u_raw = phi\n", " p = sigmoid(p_raw)\n", " b = softplus(b_raw) + 1e-6\n", " s = softplus(s_raw) + 1e-6\n", " k = softplus(k_raw) + 1e-6\n", " a = k + softplus(d_raw) + 1e-6\n", " thcap = theta_max(a,b,k,s)\n", " th = thcap * sigmoid(u_raw)\n", " return p,a,b,s,k,th,thcap\n", "\n", "def neg_post(phi, X, y):\n", " p,a,b,s,k,th,thcap = unpack(phi); eps=1e-12\n", " L = (np.log(np.clip(p,eps,1)) - np.log(np.clip(1-p,eps,1))) + dE_full(X,a,b,s,k,th)\n", " px = logistic(L)\n", " total = -np.sum(y*np.log(np.clip(px,eps,1)) + (1-y)*np.log(np.clip(1-px,eps,1)))\n", " if USE_PRIOR_P:\n", " total += -((alpha-1)*np.log(np.clip(p,eps,1)) + (beta-1)*np.log(np.clip(1-p,eps,1)))\n", " if PRIOR_R is not None and np.isfinite(thcap) and thcap > 0:\n", " r = np.clip(th/thcap, 1e-9, 1-1e-9)\n", " total += -((PRIOR_R[0]-1)*np.log(r) + (PRIOR_R[1]-1)*np.log(1-r))\n", " return total\n", "\n", "def init_phi(X,y):\n", " X0=X[y==0]; m0=X0.mean() if X0.size else X.mean(); v0=X0.var() if X0.size else X.var()\n", " k0=2.0 if v0<=0 else max((m0*m0)/(v0+1e-9),1.5)\n", " X1=X[y==1]; m1=np.median(X1) if X1.size else np.median(X)\n", " p0=np.clip(float(y.mean()),1e-3,1-1e-3); b0,s0=1.5, max(m1,0.5)\n", " return np.array([np.log(p0/(1-p0)),\n", " np.log(np.expm1(b0)+1e-9),\n", " np.log(np.expm1(s0)+1e-9),\n", " np.log(np.expm1(k0)+1e-9),\n", " np.log(np.expm1(1.0)+1e-9),\n", " -0.2], float)\n", "\n", "def fit_once(X,y, rng=np.random.default_rng(0)):\n", " obj=lambda w:neg_post(w,X,y)\n", " w0=init_phi(X,y)\n", " res=optimize.minimize(obj, w0, method=\"L-BFGS-B\", options={\"maxiter\":6000,\"ftol\":1e-9})\n", " if not (res.success and np.isfinite(res.fun)):\n", " w=w0 + rng.normal(0,0.2,6)\n", " res=optimize.minimize(obj, w, method=\"L-BFGS-B\", options={\"maxiter\":6000,\"ftol\":1e-9})\n", " return unpack(res.x), res\n", "\n", "def P_with(theta, x):\n", " p,a,b,s,k,th,_ = theta\n", " return logistic((np.log(p)-np.log(1-p)) + dE_full(x,a,b,s,k,th))\n", "\n", "def x_at_p(theta, p_target=0.5, lo=1e-6, hi=10.0):\n", " f = lambda x: P_with(theta, x) - p_target\n", " try:\n", " return float(brentq(f, lo, hi)) if f(lo)*f(hi) <= 0 else np.nan\n", " except Exception:\n", " return np.nan\n", "\n", "def slope_at_x(theta, x0):\n", " if not np.isfinite(x0): return np.nan\n", " h = 1e-3*(1+abs(x0))\n", " return float((P_with(theta, x0+h)-P_with(theta, x0-h))/(2*h))\n", "\n", "# ---------- Fit on original data ----------\n", "theta_hat, res = fit_once(X,y)\n", "p,a,b,s,k,th,thcap = theta_hat\n", "print(f\"[Fit original] success:{res.success} fval={float(res.fun):.6f}\")\n", "print(f\"params: p={p:.4f} a={a:.3g} b={b:.3g} s={s:.3g} k={k:.3g} th={th:.3g} r={float(th/thcap):.3f}\")\n", "\n", "xc = np.linspace(0, XMAX, GRID_N)\n", "p_map= P_with(theta_hat, xc)\n", "x50 = x_at_p(theta_hat, 0.5)\n", "s50 = slope_at_x(theta_hat, x50)\n", "\n", "# ---------- Bootstrap helpers ----------\n", "rng = np.random.default_rng(SEED)\n", "\n", "def rvs_gamma(k, theta, size): return rng.gamma(shape=k, scale=theta, size=size)\n", "def rvs_betaprime(a,b,s, size):\n", " g1=rng.gamma(shape=a, scale=1.0, size=size)\n", " g2=rng.gamma(shape=b, scale=1.0, size=size)\n", " return s*(g1/g2)\n", "\n", "# ---------- Conditional parametric bootstrap (fix X, resample y|X) ----------\n", "px_obs = np.clip(P_with(theta_hat, X), 1e-9, 1-1e-9)\n", "curves_c=[]; thetas_c=[]; x50_c=[]; s50_c=[]; used_c=0\n", "for _ in range(B_COND):\n", " yb = rng.binomial(1, px_obs)\n", " if yb.sum()==0 or yb.sum()==len(yb): continue\n", " try:\n", " thb, resb = fit_once(X, yb, rng)\n", " if not resb.success or not np.isfinite(resb.fun): continue\n", " curves_c.append(P_with(thb, xc)); thetas_c.append(thb[:6])\n", " x_ = x_at_p(thb, 0.5); x50_c.append(x_); s50_c.append(slope_at_x(thb, x_))\n", " used_c += 1\n", " except Exception:\n", " pass\n", "curves_c = np.asarray(curves_c) if used_c else None\n", "c_lo = np.percentile(curves_c, 2.5, axis=0) if used_c else None\n", "c_hi = np.percentile(curves_c, 97.5, axis=0) if used_c else None\n", "\n", "# ---------- Unconditional parametric bootstrap (simulate X and y) ----------\n", "p0,a0,b0,s0,k0,th0,_ = theta_hat\n", "curves_u=[]; thetas_u=[]; x50_u=[]; s50_u=[]; used_u=0\n", "for _ in range(B_UNCOND):\n", " # sample labels using marginal prevalence p0\n", " yb = rng.binomial(1, p0, size=n)\n", " if yb.sum()==0 or yb.sum()==n: continue\n", " # sample features from the fitted component distributions\n", " xb = np.empty(n,float)\n", " m_nc = (yb==0); m_ae = ~m_nc\n", " xb[m_nc] = rvs_gamma(k0, th0, m_nc.sum())\n", " xb[m_ae] = rvs_betaprime(a0, b0, s0, m_ae.sum())\n", " xb = np.clip(xb, 1e-12, None)\n", " try:\n", " thb, resb = fit_once(xb, yb, rng)\n", " if not resb.success or not np.isfinite(resb.fun): continue\n", " curves_u.append(P_with(thb, xc)); thetas_u.append(thb[:6])\n", " x_ = x_at_p(thb, 0.5); x50_u.append(x_); s50_u.append(slope_at_x(thb, x_))\n", " used_u += 1\n", " except Exception:\n", " pass\n", "curves_u = np.asarray(curves_u) if used_u else None\n", "u_lo = np.percentile(curves_u, 2.5, axis=0) if used_u else None\n", "u_hi = np.percentile(curves_u, 97.5, axis=0) if used_u else None\n", "\n", "# ---------- Summaries to compare conditional vs unconditional ----------\n", "def nanperc(a, q): return (np.nanpercentile(a, q[0]), np.nanpercentile(a, q[1])) if a is not None and len(a) else (np.nan, np.nan)\n", "\n", "thetas_c = np.asarray(thetas_c) if used_c else None\n", "thetas_u = np.asarray(thetas_u) if used_u else None\n", "x50_c = np.asarray(x50_c) if used_c else None\n", "x50_u = np.asarray(x50_u) if used_u else None\n", "s50_c = np.asarray(s50_c) if used_c else None\n", "s50_u = np.asarray(s50_u) if used_u else None\n", "\n", "# band width diagnostics\n", "def band_width(lo, hi): \n", " if lo is None or hi is None: return np.nan, np.nan, np.nan\n", " w = hi - lo\n", " return float(np.nanmean(w)), float(np.nanmin(w)), float(np.nanmax(w))\n", "\n", "c_w_mean, c_w_min, c_w_max = band_width(c_lo, c_hi)\n", "u_w_mean, u_w_min, u_w_max = band_width(u_lo, u_hi)\n", "\n", "# parameter names and CIs\n", "param_names = ['p','a','b','s','k','theta']\n", "\n", "print(\"\\n=== Bootstrap usage ===\")\n", "print(f\"Conditional: used {used_c}/{B_COND}\")\n", "print(f\"Unconditional: used {used_u}/{B_UNCOND}\")\n", "\n", "print(\"\\n=== Band width (probability scale over grid x in [0, %.2f]) ===\" % XMAX)\n", "print(f\"Conditional band: mean={c_w_mean:.4f} min={c_w_min:.4f} max={c_w_max:.4f}\")\n", "print(f\"Unconditional band: mean={u_w_mean:.4f} min={u_w_min:.4f} max={u_w_max:.4f}\")\n", "\n", "if used_c:\n", " print(\"\\n=== Conditional parametric (percentile 95% CIs) ===\")\n", " for i,nm in enumerate(param_names):\n", " lo, hi = np.percentile(thetas_c[:,i], [2.5,97.5])\n", " print(f\"{nm:6s}: [{lo:.6g}, {hi:.6g}]\")\n", " lo, hi = nanperc(x50_c, (2.5,97.5)); print(f\"x@50% : [{lo:.6g}, {hi:.6g}]\")\n", " lo, hi = nanperc(s50_c, (2.5,97.5)); print(f\"slope@50% : [{lo:.6g}, {hi:.6g}]\")\n", "\n", "if used_u:\n", " print(\"\\n=== Unconditional parametric (percentile 95% CIs) ===\")\n", " for i,nm in enumerate(param_names):\n", " lo, hi = np.percentile(thetas_u[:,i], [2.5,97.5])\n", " print(f\"{nm:6s}: [{lo:.6g}, {hi:.6g}]\")\n", " lo, hi = nanperc(x50_u, (2.5,97.5)); print(f\"x@50% : [{lo:.6g}, {hi:.6g}]\")\n", " lo, hi = nanperc(s50_u, (2.5,97.5)); print(f\"slope@50% : [{lo:.6g}, {hi:.6g}]\")\n", "\n", "# also report medians of x50 and slope for quick comparison\n", "if used_c and used_u:\n", " print(\"\\n=== Medians (x@50%, slope@50%) ===\")\n", " print(f\"Conditional: x50={np.nanmedian(x50_c):.4g} slope50={np.nanmedian(s50_c):.4g}\")\n", " print(f\"Unconditional: x50={np.nanmedian(x50_u):.4g} slope50={np.nanmedian(s50_u):.4g}\")\n", "\n", "# ---------- Plot: one figure with both bands ----------\n", "fig, ax = plt.subplots(figsize=(9.2,5.4), dpi=140)\n", "\n", "if used_u:\n", " ax.fill_between(xc, u_lo, u_hi, color='#d62728', alpha=0.22,\n", " label='Uncond. param 95%', zorder=1)\n", "if used_c:\n", " ax.fill_between(xc, c_lo, c_hi, color='#ff7f0e', alpha=0.22,\n", " label='Cond. param 95%', zorder=2)\n", "\n", "# MAP curve + jittered points\n", "ax.plot(xc, p_map, 'k', lw=2.2, label='P(AE|x) (MAP)', zorder=3)\n", "rng_plot = np.random.default_rng(999); jit=(rng_plot.random(len(y))-0.5)*0.06\n", "ax.scatter(X[y==0], (y+jit)[y==0], s=20, alpha=0.55, color=\"#2ca02c\", edgecolors='none', label='NC', zorder=4)\n", "ax.scatter(X[y==1], (y+jit)[y==1], s=24, alpha=0.75, color=\"#1f77b4\", edgecolors='none', label='AE', zorder=5)\n", "\n", "ax.set(xlim=(0, XMAX), ylim=(-0.05, 1.05),\n", " xlabel=r'$x=\\max_{\\mathrm{visit}}\\mathrm{SUV}(\\mathrm{visit},\\,p)$',\n", " ylabel=r'$P(\\mathrm{AE}\\mid x)$')\n", "ax.set_title('Conditional vs Unconditional parametric bootstrap bands')\n", "ax.grid(alpha=0.30); ax.legend(frameon=False, loc='lower right')\n", "plt.tight_layout(); plt.show()\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "7624670a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[Fit original] success:True fval=9.572801\n", "params: p=0.0503 a=1.43e+03 b=408 s=0.471 k=167 th=0.00877 r=0.998\n", "\n", "[Baseline metrics]\n", "Baseline: AIC=21.338 BIC=33.701 Brier=0.02758 AUC=0.9811\n", "\n", "--- Gaussian X-noise (sigma=0.25) --- used 58; success=True fval=13.194992\n", "Params baseline -> noisy:\n", " p : 0.0503 -> 0.0503\n", " a : 1433 -> 238.3\n", " b : 407.6 -> 89.82\n", " s : 0.4713 -> 0.655\n", " k : 167.2 -> 42.04\n", " theta : 0.008774 -> 0.0349\n", "Noisy: AIC=28.989 BIC=41.352 Brier=0.04333 AUC=0.9358\n", " x@50% : baseline 1.79 -> noisy 2.37\n", " slope@50% : baseline 1.8 -> noisy 0.7479\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_3256\\569923546.py:153: DeprecationWarning: `trapz` is deprecated. Use `trapezoid` instead, or one of the numerical integration functions in `scipy.integrate`.\n", " return float(np.trapz(tpr, fpr))\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "--- Lognormal X-noise (log-sd=0.20) --- used 58; success=True fval=13.238190\n", "Params baseline -> noisy:\n", " p : 0.0503 -> 0.0502\n", " a : 1433 -> 222.1\n", " b : 407.6 -> 63.29\n", " s : 0.4713 -> 0.492\n", " k : 167.2 -> 58.07\n", " theta : 0.008774 -> 0.02805\n", "Noisy: AIC=29.006 BIC=41.368 Brier=0.03847 AUC=0.9019\n", " x@50% : baseline 1.79 -> noisy 2.498\n", " slope@50% : baseline 1.8 -> noisy 1.467\n", "\n", "--- Heteroscedastic X-noise (sigma*[1+X]) --- used 58; success=True fval=15.246582\n", "Params baseline -> noisy:\n", " p : 0.0503 -> 0.0502\n", " a : 1433 -> 534.5\n", " b : 407.6 -> 372.8\n", " s : 0.4713 -> 0.9499\n", " k : 167.2 -> 173.2\n", " theta : 0.008774 -> 0.007669\n", "Noisy: AIC=32.740 BIC=45.102 Brier=0.04835 AUC=0.8566\n", " x@50% : baseline 1.79 -> noisy 2.318\n", " slope@50% : baseline 1.8 -> noisy 2.152\n", "\n", "--- Label flips (8%) --- used 58; success=True fval=54.886566\n", "Params baseline -> noisy:\n", " p : 0.0503 -> 0.1249\n", " a : 1433 -> 26.51\n", " b : 407.6 -> 1.587\n", " s : 0.4713 -> 1.166\n", " k : 167.2 -> 25.63\n", " theta : 0.008774 -> 0.02748\n", "Noisy: AIC=110.999 BIC=123.362 Brier=0.07054 AUC=0.8347\n", " x@50% : baseline 1.79 -> noisy 1.66\n", " slope@50% : baseline 1.8 -> noisy 6.743\n", "\n", "--- Outliers (7% at x*3.5) --- used 58; success=True fval=16.466956\n", "Params baseline -> noisy:\n", " p : 0.0503 -> 0.0508\n", " a : 1433 -> 559.5\n", " b : 407.6 -> 24.05\n", " s : 0.4713 -> 0.08606\n", " k : 167.2 -> 4.914\n", " theta : 0.008774 -> 0.2329\n", "Noisy: AIC=35.185 BIC=47.548 Brier=0.06689 AUC=0.8717\n", " x@50% : baseline 1.79 -> noisy 5.425\n", " slope@50% : baseline 1.8 -> noisy 0.1589\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ===================== ORIGINAL model + Noise Experiments =====================\n", "# Model: NC ~ Gamma(k, theta), AE ~ Beta-Prime(a, b, scale s); P(AE)=p\n", "# What this script does:\n", "# 1) Load ORIGINAL data, fit MAP via L-BFGS\n", "# 2) Add noise to X or y in several ways, refit, and compare to baseline\n", "# 3) Print deltas and show one plot overlaying MAP curves (baseline vs noisy)\n", "#\n", "# If you want the Wald/nonparam/param bands back, keep your old file for that.\n", "# This file is intentionally focused on noise stress-testing.\n", "\n", "import numpy as np, matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "from scipy.optimize import brentq\n", "import scipy.io as io\n", "\n", "# ---------- Config ----------\n", "DATA_SUV = \"../data/suv_percentilesSLOthenUWM.mat\"\n", "DATA_FLG = \"../data/flags_combined.mat\"\n", "MAT_KEY = \"lung_SUVperc_COMBINED\"\n", "FLAGCOL = 3\n", "ROW_MAX = 58\n", "X_PLANE = 94\n", "XMAX = 5.0\n", "GRID_N = 600\n", "SEED_FIT = 123\n", "USE_PRIOR_P = True\n", "TAU = 25.0\n", "#PRIOR_R = None\n", "PRIOR_R = (1.05, 1.05) # weak Beta prior on r = theta/theta_max\n", "\n", "# ---------- Data (ORIGINAL) ----------\n", "X3 = io.loadmat(DATA_SUV)[MAT_KEY][0:ROW_MAX, :, :]\n", "y = io.loadmat( DATA_FLG)[\"flags\"][0:ROW_MAX, FLAGCOL].astype(int).ravel()\n", "X = np.nanmax(X3[:, :, X_PLANE], axis=1).astype(float).ravel()\n", "X = np.clip(X, 1e-12, None)\n", "n = len(X)\n", "\n", "# ---------- Priors inferred from data ----------\n", "p_emp = float(y.mean())\n", "alpha = max(TAU*p_emp, 1e-6); beta = max(TAU*(1-p_emp), 1e-6)\n", "\n", "# ---------- Model helpers ----------\n", "def logistic(z): return 1/(1+np.exp(-np.clip(z,-60,60)))\n", "def sigmoid(t): return 1/(1+np.exp(-t))\n", "def softplus(t): return np.log1p(np.exp(-np.abs(t))) + np.maximum(t,0)\n", "\n", "def dE_full(x,a,b,s,k,th):\n", " x = np.asarray(x,float); eps=1e-12\n", " s_ = np.clip(s,eps,None); th_ = np.clip(th,eps,None)\n", " return ((a-k)*np.log(np.clip(x,eps,None)) - (a+b)*np.log1p(x/s_) + x/th_\n", " - a*np.log(s_) - betaln(a,b) + k*np.log(th_) + gammaln(k))\n", "\n", "def theta_max(a,b,k,s,eps=1e-12):\n", " A = a - k\n", " if A <= 0: return np.inf\n", " r = np.sqrt(a+b) - np.sqrt(max(A,eps))\n", " return np.inf if r <= 1e-12 else s/(r*r)\n", "\n", "# φ=[p_raw,b_raw,s_raw,k_raw,d_raw,u_raw]; a=k+softplus(d_raw); th=sigmoid(u)*thcap\n", "def unpack(phi):\n", " p_raw,b_raw,s_raw,k_raw,d_raw,u_raw = phi\n", " p = sigmoid(p_raw)\n", " b = softplus(b_raw) + 1e-6\n", " s = softplus(s_raw) + 1e-6\n", " k = softplus(k_raw) + 1e-6\n", " a = k + softplus(d_raw) + 1e-6\n", " thcap = theta_max(a,b,k,s)\n", " th = thcap * sigmoid(u_raw)\n", " return p,a,b,s,k,th,thcap\n", "\n", "def neg_post(phi, X, y):\n", " p,a,b,s,k,th,thcap = unpack(phi); eps=1e-12\n", " L = (np.log(np.clip(p,eps,1)) - np.log(np.clip(1-p,eps,1))) + dE_full(X,a,b,s,k,th)\n", " px = logistic(L)\n", " total = -np.sum(y*np.log(np.clip(px,eps,1)) + (1-y)*np.log(np.clip(1-px,eps,1)))\n", " if USE_PRIOR_P:\n", " total += -((alpha-1)*np.log(np.clip(p,eps,1)) + (beta-1)*np.log(np.clip(1-p,eps,1)))\n", " if PRIOR_R is not None and np.isfinite(thcap) and thcap > 0:\n", " r = np.clip(th/thcap, 1e-9, 1-1e-9)\n", " total += -((PRIOR_R[0]-1)*np.log(r) + (PRIOR_R[1]-1)*np.log(1-r))\n", " return total\n", "\n", "def init_phi(X,y):\n", " X0=X[y==0]; m0=X0.mean() if X0.size else X.mean(); v0=X0.var() if X0.size else X.var()\n", " k0=2.0 if v0<=0 else max((m0*m0)/(v0+1e-9),1.5)\n", " X1=X[y==1]; m1=np.median(X1) if X1.size else np.median(X)\n", " p0=np.clip(float(y.mean()),1e-3,1-1e-3); b0,s0=1.5, max(m1,0.5)\n", " return np.array([np.log(p0/(1-p0)),\n", " np.log(np.expm1(b0)+1e-9),\n", " np.log(np.expm1(s0)+1e-9),\n", " np.log(np.expm1(k0)+1e-9),\n", " np.log(np.expm1(1.0)+1e-9),\n", " -0.2], float)\n", "\n", "def fit_once(X,y, rng=np.random.default_rng(0)):\n", " obj=lambda w:neg_post(w,X,y)\n", " w0=init_phi(X,y)\n", " res=optimize.minimize(obj, w0, method=\"L-BFGS-B\", options={\"maxiter\":6000,\"ftol\":1e-9})\n", " if not (res.success and np.isfinite(res.fun)):\n", " res=optimize.minimize(obj, w0 + rng.normal(0,0.2,6), method=\"L-BFGS-B\",\n", " options={\"maxiter\":6000,\"ftol\":1e-9})\n", " return unpack(res.x), res\n", "\n", "def P_with(theta, x):\n", " p,a,b,s,k,th,_ = theta\n", " return logistic((np.log(p)-np.log(1-p)) + dE_full(x,a,b,s,k,th))\n", "\n", "def x_at_p(theta, p_target=0.5, lo=1e-6, hi=10.0):\n", " f = lambda x: P_with(theta, x) - p_target\n", " try:\n", " return float(brentq(f, lo, hi)) if f(lo)*f(hi) <= 0 else np.nan\n", " except Exception:\n", " return np.nan\n", "\n", "def slope_at_x(theta, x0):\n", " if not np.isfinite(x0): return np.nan\n", " h = 1e-3*(1+abs(x0))\n", " return float((P_with(theta, x0+h)-P_with(theta, x0-h))/(2*h))\n", "\n", "# ---------- Baseline fit ----------\n", "theta_hat, res = fit_once(X,y, np.random.default_rng(SEED_FIT))\n", "p,a,b,s,k,th,thcap = theta_hat\n", "print(f\"[Fit original] success:{res.success} fval={float(res.fun):.6f}\")\n", "print(f\"params: p={p:.4f} a={a:.3g} b={b:.3g} s={s:.3g} k={k:.3g} th={th:.3g} r={float(th/thcap):.3f}\")\n", "\n", "xc = np.linspace(0, XMAX, GRID_N)\n", "pmap = P_with(theta_hat, xc)\n", "x50 = x_at_p(theta_hat, 0.5)\n", "s50 = slope_at_x(theta_hat, x50)\n", "\n", "# ---------- Metrics (likelihood-only for AIC/BIC), Brier, AUC ----------\n", "def _nll_likelihood_only(theta, X, y, eps=1e-12):\n", " p,a,b,s,k,th,_ = theta\n", " L = (np.log(np.clip(p,eps,1)) - np.log(np.clip(1-p,eps,1))) + dE_full(X, a, b, s, k, th)\n", " px = logistic(L)\n", " return -np.sum(y*np.log(np.clip(px,eps,1)) + (1-y)*np.log(np.clip(1-px,eps,1)))\n", "\n", "def _brier(y, p):\n", " p = np.clip(p, 0, 1)\n", " return float(np.mean((p - y)**2))\n", "\n", "def _auc_trapz(y, p):\n", " y = y.astype(int)\n", " n_pos = int(y.sum()); n_neg = int((1-y).sum())\n", " if n_pos == 0 or n_neg == 0: return np.nan\n", " order = np.argsort(-p)\n", " y_ord = y[order]\n", " tp = np.cumsum(y_ord)\n", " fp = np.cumsum(1 - y_ord)\n", " tpr = tp / n_pos\n", " fpr = fp / n_neg\n", " return float(np.trapz(tpr, fpr))\n", "\n", "def _report_metrics(label, theta, Xs, ys):\n", " nll = _nll_likelihood_only(theta, Xs, ys)\n", " k_params = 6\n", " AIC = 2*k_params + 2*nll\n", " BIC = k_params*np.log(len(Xs)) + 2*nll\n", " ph = P_with(theta, Xs)\n", " brier = _brier(ys, ph)\n", " auc = _auc_trapz(ys, ph)\n", " print(f\"{label}: AIC={AIC:.3f} BIC={BIC:.3f} Brier={brier:.5f} AUC={auc:.4f}\")\n", " return AIC, BIC\n", "\n", "# Baseline metrics\n", "print(\"\\n[Baseline metrics]\")\n", "_report_metrics(\"Baseline\", theta_hat, X, y)\n", "\n", "# ===================== Noise experiments =====================\n", "from copy import deepcopy\n", "def add_noise(\n", " X, y, *,\n", " kind=\"gaussian\", # \"gaussian\", \"lognormal\", \"hetero\", \"label_flip\", \"outliers\"\n", " sigma=0.2, # scale for X-noise; log-sd for \"lognormal\"\n", " flip_prob=0.08, # for label_flip\n", " frac_outliers=0.07, # for outliers\n", " outlier_mult=3.5, # multiply X by this for outliers\n", " seed=777\n", "):\n", " rng = np.random.default_rng(seed)\n", " Xn = deepcopy(X).astype(float)\n", " yn = deepcopy(y).astype(int)\n", "\n", " if kind == \"gaussian\":\n", " Xn = np.clip(Xn + rng.normal(0, sigma, size=Xn.shape), 1e-12, None)\n", " elif kind == \"lognormal\":\n", " Xn = np.clip(Xn * np.exp(rng.normal(0, sigma, size=Xn.shape)), 1e-12, None)\n", " elif kind == \"hetero\":\n", " Xn = np.clip(Xn + rng.normal(0, sigma * (1 + Xn), size=Xn.shape), 1e-12, None)\n", " elif kind == \"label_flip\":\n", " flips = rng.binomial(1, flip_prob, size=yn.shape).astype(bool)\n", " yn[flips] = 1 - yn[flips]\n", " elif kind == \"outliers\":\n", " m = rng.binomial(1, frac_outliers, size=Xn.shape).astype(bool)\n", " Xn[m] = np.clip(Xn[m] * outlier_mult, 1e-12, None)\n", " else:\n", " raise ValueError(\"Unknown noise kind.\")\n", " return Xn, yn\n", "\n", "def refit_and_compare(Xn, yn, tag, seed=999):\n", " theta_n, res_n = fit_once(Xn, yn, np.random.default_rng(seed))\n", " p0,a0,b0,s0,k0,th0,_ = theta_hat\n", " p1,a1,b1,s1,k1,th1,_ = theta_n\n", " print(f\"\\n--- {tag} --- used {len(Xn)}; success={res_n.success} fval={float(res_n.fun):.6f}\")\n", " print(\"Params baseline -> noisy:\")\n", " print(f\" p : {p0:.4f} -> {p1:.4f}\")\n", " print(f\" a : {a0:.4g} -> {a1:.4g}\")\n", " print(f\" b : {b0:.4g} -> {b1:.4g}\")\n", " print(f\" s : {s0:.4g} -> {s1:.4g}\")\n", " print(f\" k : {k0:.4g} -> {k1:.4g}\")\n", " print(f\" theta : {th0:.4g} -> {th1:.4g}\")\n", " _report_metrics(\"Noisy\", theta_n, Xn, yn)\n", "\n", " # curve on grid\n", " xc_n = np.linspace(0, XMAX, GRID_N)\n", " pmap_n = P_with(theta_n, xc_n)\n", " # shape summaries\n", " x50_n = x_at_p(theta_n, 0.5)\n", " s50_n = slope_at_x(theta_n, x50_n)\n", " print(f\" x@50% : baseline {x50:.4g} -> noisy {x50_n:.4g}\")\n", " print(f\" slope@50% : baseline {s50:.4g} -> noisy {s50_n:.4g}\")\n", " return theta_n, xc_n, pmap_n\n", "\n", "# Define your experiments here\n", "experiments = [\n", " dict(kind=\"gaussian\", sigma=0.25, tag=\"Gaussian X-noise (sigma=0.25)\", seed=101),\n", " dict(kind=\"lognormal\", sigma=0.20, tag=\"Lognormal X-noise (log-sd=0.20)\", seed=202),\n", " dict(kind=\"hetero\", sigma=0.20, tag=\"Heteroscedastic X-noise (sigma*[1+X])\", seed=303),\n", " dict(kind=\"label_flip\", flip_prob=0.08, tag=\"Label flips (8%)\", seed=404),\n", " dict(kind=\"outliers\", frac_outliers=0.07, outlier_mult=3.5, tag=\"Outliers (7% at x*3.5)\", seed=505),\n", "]\n", "\n", "# Run experiments\n", "curves = []\n", "labels = []\n", "for cfg in experiments:\n", " Xn, yn = add_noise(X, y, **{k:v for k,v in cfg.items() if k not in (\"tag\",\"seed\")}, seed=cfg.get(\"seed\",777))\n", " _, xc_n, pmap_n = refit_and_compare(Xn, yn, cfg[\"tag\"], seed=cfg.get(\"seed\",999))\n", " curves.append((xc_n, pmap_n))\n", " labels.append(cfg[\"tag\"])\n", "\n", "# ---------- Plot: baseline vs noisy MAP curves ----------\n", "fig, ax = plt.subplots(figsize=(9.2,5.4), dpi=140)\n", "\n", "ax.plot(xc, pmap, lw=2.6, color='k', label='Baseline (MAP)', zorder=5)\n", "\n", "for (xc_n, pmap_n), lab in zip(curves, labels):\n", " ax.plot(xc_n, pmap_n, lw=1.7, label=lab, alpha=0.95)\n", "\n", "# jittered original points for context only\n", "rng_plot = np.random.default_rng(999); jit=(rng_plot.random(len(y))-0.5)*0.06\n", "ax.scatter(X[y==0], (y+jit)[y==0], s=18, alpha=0.45, color=\"#2ca02c\", edgecolors='none', label='NC (orig)', zorder=4)\n", "ax.scatter(X[y==1], (y+jit)[y==1], s=20, alpha=0.60, color=\"#1f77b4\", edgecolors='none', label='AE (orig)', zorder=4)\n", "\n", "ax.set(xlim=(0, XMAX), ylim=(-0.05, 1.05), xlabel='SUV', ylabel='P(AE | x)')\n", "ax.set_title('Effect of data noise on P(AE|x) MAP curve')\n", "ax.grid(alpha=0.30); ax.legend(frameon=False, loc='lower right')\n", "plt.tight_layout(); plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "79a02fcc", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "2ffce4b5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[Fit NOISY σ=0.2] success=True post.fval=8.799895\n", "params: p=0.0502 a=1.76e+03 b=583 s=0.561 k=370 theta=0.004527 r=0.997\n", "\n", "=== Bootstrap usage (after QA) ===\n", "Nonparam: used 230/400\n", "Conditional: used 388/600\n", "Unconditional: used 97/600\n", "\n", "=== Band width mean / min / max over x∈[0, 5.00] ===\n", "Wald : 0.1417 / 0.0000 / 1.0000\n", "Nonparametric : 0.0842 / 0.0000 / 0.7882\n", "Conditional : 0.1362 / 0.0000 / 1.0000\n", "Unconditional : 0.0000 / 0.0000 / 0.0000\n", "\n", "Nonparametric (95% percentile CIs)\n", "p : 0.050213 [0.0502245, 0.0502253]\n", "a : 1761.48 [12.336, 282.424]\n", "b : 583.231 [511.484, 537.779]\n", "s : 0.561 [5.74567, 104.05]\n", "k : 369.707 [12.336, 282.424]\n", "theta : 0.00452714 [0.00711736, 0.0957918]\n", "x@50% : 2.4677 [2.12577, 2.49925]\n", "slope@50%: 2.68015 [1.2921, 10.626]\n", "\n", "Conditional parametric (95% percentile CIs)\n", "p : 0.050213 [0.0502222, 0.0502249]\n", "a : 1761.48 [67.4196, 824.059]\n", "b : 583.231 [529.357, 569.583]\n", "s : 0.561 [2.59315, 14.7748]\n", "k : 369.707 [67.4196, 824.059]\n", "theta : 0.00452714 [0.0019161, 0.023282]\n", "x@50% : 2.4677 [2.21108, 2.77929]\n", "slope@50%: 2.68015 [1.40887, 57.7332]\n", "\n", "Unconditional parametric (95% percentile CIs)\n", "p : 0.050213 [0.0502249, 0.0502249]\n", "a : 1761.48 [824.058, 824.058]\n", "b : 583.231 [529.36, 529.36]\n", "s : 0.561 [2.59315, 2.59315]\n", "k : 369.707 [824.058, 824.058]\n", "theta : 0.00452714 [0.0019161, 0.0019161]\n", "x@50% : 2.4677 [2.25706, 2.25706]\n", "slope@50%: 2.68015 [57.7332, 57.7332]\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ===================== NOISY data (σ=0.05): Wald + Nonparam + Conditional + Unconditional (with QA guards) =====================\n", "# Model: NC ~ Gamma(k, theta), AE ~ Beta-Prime(a, b, scale s); mixture prevalence p\n", "# Bands: Wald (delta), Nonparametric (pairs), Conditional parametric (y|X), Unconditional parametric (X,y)\n", "# Extras: warm-start across bootstrap fits, skip degenerate class splits, reject boundary-stuck fits\n", "\n", "import numpy as np, matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "from scipy.optimize import brentq\n", "import scipy.io as io\n", "\n", "# ---------- Config ----------\n", "XMAX, GRID_N = 5.0, 600\n", "SIGMA_NOISE = 0.20 # log-sd for multiplicative noise on X <<< changed here\n", "B_NONPAR, B_COND, B_UNCOND = 400, 600, 600\n", "SEED = 4321\n", "\n", "# Priors\n", "USE_PRIOR_P = True\n", "TAU = 25.0 # Beta prior strength on prevalence p\n", "PRIOR_R = (1.05, 1.05) # weak prior on r = theta/theta_max\n", "\n", "# Bootstrap quality gates\n", "MIN_POS = 5 # require at least this many AE per replicate\n", "MIN_NEG = 5 # require at least this many NC per replicate\n", "RESEED = 777 # RNG for fit warm starts\n", "\n", "# ---------- Helpers ----------\n", "def logistic(z): return 1/(1+np.exp(-np.clip(z, -60, 60)))\n", "def sigmoid(t): return 1/(1+np.exp(-t))\n", "def softplus(t): return np.log1p(np.exp(-np.abs(t))) + np.maximum(t, 0)\n", "\n", "def dE_full(x, a, b, s, k, th):\n", " x = np.asarray(x, float); eps = 1e-12\n", " s_ = np.clip(s, eps, None); th_ = np.clip(th, eps, None)\n", " return ((a-k)*np.log(np.clip(x, eps, None)) - (a+b)*np.log1p(x/s_) + x/th_\n", " - a*np.log(s_) - betaln(a, b) + k*np.log(th_) + gammaln(k))\n", "\n", "def theta_max(a, b, k, s, eps=1e-12):\n", " A = a - k\n", " if A <= 0: return np.inf\n", " r = np.sqrt(a+b) - np.sqrt(max(A, eps))\n", " return np.inf if r <= 1e-12 else s/(r*r)\n", "\n", "# φ=[p_raw,b_raw,s_raw,k_raw,d_raw,u_raw]; a=k+softplus(d_raw); th=sigmoid(u)*thcap\n", "def unpack(phi):\n", " p_raw, b_raw, s_raw, k_raw, d_raw, u_raw = phi\n", " p = sigmoid(p_raw)\n", " b = softplus(b_raw) + 1e-6\n", " s = softplus(s_raw) + 1e-6\n", " k = softplus(k_raw) + 1e-6\n", " a = k + softplus(d_raw) + 1e-6\n", " thcap = theta_max(a, b, k, s)\n", " th = thcap * sigmoid(u_raw)\n", " return p, a, b, s, k, th, thcap\n", "\n", "def neg_post(phi, X, y, alpha, beta):\n", " p, a, b, s, k, th, thcap = unpack(phi); eps = 1e-12\n", " L = (np.log(np.clip(p,eps,1)) - np.log(np.clip(1-p,eps,1))) + dE_full(X, a, b, s, k, th)\n", " px = logistic(L)\n", " total = -np.sum(y*np.log(np.clip(px,eps,1)) + (1-y)*np.log(np.clip(1-px,eps,1)))\n", " if USE_PRIOR_P:\n", " total += -((alpha-1)*np.log(np.clip(p,eps,1)) + (beta-1)*np.log(np.clip(1-p,eps,1)))\n", " if PRIOR_R is not None and np.isfinite(thcap) and thcap > 0:\n", " r = np.clip(th/thcap, 1e-9, 1-1e-9)\n", " total += -((PRIOR_R[0]-1)*np.log(r) + (PRIOR_R[1]-1)*np.log(1-r))\n", " return total\n", "\n", "def init_phi(X, y):\n", " X0 = X[y==0]; m0 = X0.mean() if X0.size else X.mean(); v0 = X0.var() if X0.size else X.var()\n", " k0 = 2.0 if v0 <= 0 else max((m0*m0)/(v0+1e-9), 1.5)\n", " X1 = X[y==1]; m1 = np.median(X1) if X1.size else np.median(X)\n", " p0 = np.clip(float(y.mean()), 1e-3, 1-1e-3); b0, s0 = 1.5, max(m1, 0.5)\n", " return np.array([np.log(p0/(1-p0)),\n", " np.log(np.expm1(b0)+1e-9),\n", " np.log(np.expm1(s0)+1e-9),\n", " np.log(np.expm1(k0)+1e-9),\n", " np.log(np.expm1(1.0)+1e-9),\n", " -0.2], float)\n", "\n", "def fit_once(X, y, alpha, beta, rng=np.random.default_rng(0), warm_phi=None):\n", " w0 = init_phi(X, y) if warm_phi is None else warm_phi\n", " obj = lambda w: neg_post(w, X, y, alpha, beta)\n", " res = optimize.minimize(obj, w0, method=\"L-BFGS-B\", options={\"maxiter\":6000, \"ftol\":1e-9})\n", " if not (res.success and np.isfinite(res.fun)) and warm_phi is None:\n", " res = optimize.minimize(obj, w0 + rng.normal(0,0.2,6), method=\"L-BFGS-B\",\n", " options={\"maxiter\":6000, \"ftol\":1e-9})\n", " return unpack(res.x), res.x, res\n", "\n", "def P_with(theta, x):\n", " p, a, b, s, k, th, _ = theta\n", " return logistic((np.log(p)-np.log(1-p)) + dE_full(x, a, b, s, k, th))\n", "\n", "def x_at_p(theta, p_target=0.5, lo=1e-6, hi=10.0):\n", " f = lambda x: P_with(theta, x) - p_target\n", " try:\n", " return float(brentq(f, lo, hi)) if f(lo)*f(hi) <= 0 else np.nan\n", " except Exception:\n", " return np.nan\n", "\n", "def slope_at_x(theta, x0):\n", " if not np.isfinite(x0): return np.nan\n", " h = 1e-3*(1+abs(x0))\n", " return float((P_with(theta, x0+h)-P_with(theta, x0-h))/(2*h))\n", "\n", "# finite-diff Hessian/Jacobian (compact)\n", "def hess_fd(F, w):\n", " w=np.asarray(w,float); n=w.size; H=np.zeros((n,n)); h=1e-4*(1+np.abs(w))\n", " def grad(z):\n", " g=np.zeros(n)\n", " for j in range(n):\n", " e=np.zeros(n); e[j]=1\n", " g[j]=(F(z+h[j]*e)-F(z-h[j]*e))/(2*h[j])\n", " return g\n", " for i in range(n):\n", " e=np.zeros(n); e[i]=1\n", " H[:,i]=(grad(w+h[i]*e)-grad(w-h[i]*e))/(2*h[i])\n", " return 0.5*(H+H.T)\n", "\n", "def jac_fd(G, w):\n", " w=np.asarray(w,float); f0=np.asarray(G(w)); m=f0.size; n=w.size\n", " J=np.zeros((m,n)); h=1e-4*(1+np.abs(w))\n", " for j in range(n):\n", " e=np.zeros(n); e[j]=1\n", " J[:,j]=(np.asarray(G(w+h[j]*e))-np.asarray(G(w-h[j]*e)))/(2*h[j])\n", " return J\n", "\n", "# ---------- Load data using your notation, add noise (σ=0.05), fit once ----------\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3] # 0=NC, 1=AE\n", "\n", "# Feature X = max SUV_94 per subject; label y = flags\n", "X = np.nanmax(suv[:, :, 94], axis=1).astype(float).ravel()\n", "y = np.asarray(flags, int).ravel()\n", "X = np.clip(X, 1e-12, None)\n", "\n", "rng_noise = np.random.default_rng(SEED + 999)\n", "Xn = np.clip(X * np.exp(rng_noise.normal(0, SIGMA_NOISE, size=X.shape)), 1e-12, None)\n", "yn = y.copy(); n = len(Xn)\n", "\n", "p_emp = float(yn.mean())\n", "alpha = max(TAU*p_emp, 1e-6); beta = max(TAU*(1-p_emp), 1e-6)\n", "\n", "theta_hat, phi_hat, res = fit_once(Xn, yn, alpha, beta, np.random.default_rng(SEED))\n", "p,a,b,s,k,th,thcap = theta_hat\n", "print(f\"[Fit NOISY σ={SIGMA_NOISE}] success={res.success} post.fval={float(res.fun):.6f}\")\n", "print(f\"params: p={p:.4f} a={a:.3g} b={b:.3g} s={s:.3g} k={k:.3g} theta={th:.4g} r={float(th/thcap):.3f}\")\n", "\n", "xc = np.linspace(0, XMAX, GRID_N)\n", "pmap = P_with(theta_hat, xc)\n", "x50 = x_at_p(theta_hat, 0.5)\n", "s50 = slope_at_x(theta_hat, x50)\n", "\n", "# ---------- Wald band ----------\n", "H = hess_fd(lambda w: neg_post(w, Xn, yn, alpha, beta), phi_hat)\n", "Sigma_phi = np.linalg.pinv(H)\n", "Jp = jac_fd(lambda w: P_with(unpack(w), xc), phi_hat)\n", "var_p = np.einsum('ij,jk,ik->i', Jp, Sigma_phi, Jp)\n", "se_p = np.sqrt(np.maximum(var_p,0.0))\n", "wald_lo = np.clip(pmap - 1.96*se_p, 0, 1)\n", "wald_hi = np.clip(pmap + 1.96*se_p, 0, 1)\n", "\n", "# ---------- QA helpers ----------\n", "rng_main = np.random.default_rng(SEED)\n", "rng_fit = np.random.default_rng(RESEED)\n", "last_good_phi = None\n", "\n", "def good_fit(thb, resb, yb):\n", " if not (resb.success and np.isfinite(resb.fun)): return False\n", " n_pos = int(yb.sum()); n_neg = int((1 - yb).sum())\n", " if n_pos < MIN_POS or n_neg < MIN_NEG: return False\n", " # reject obvious boundary-stuck fits (b hitting ~1.5 soft floor)\n", " p_,a_,b_,s_,k_,th_,_ = thb\n", " if abs(b_ - 1.5) < 1e-6: return False\n", " return True\n", "\n", "def accept_fit(Xb, yb, alpha, beta, warm_phi):\n", " thb, phi_b, resb = fit_once(Xb, yb, alpha, beta, rng_fit, warm_phi=warm_phi)\n", " if not good_fit(thb, resb, yb) and warm_phi is not None:\n", " try:\n", " res_retry = optimize.minimize(lambda w: neg_post(w, Xb, yb, alpha, beta),\n", " warm_phi, method=\"L-BFGS-B\",\n", " options={\"maxiter\":6000, \"ftol\":1e-9})\n", " if res_retry.success and np.isfinite(res_retry.fun):\n", " thb = unpack(res_retry.x); resb = res_retry\n", " except Exception:\n", " pass\n", " return thb, resb\n", "\n", "# ---------- Nonparametric bootstrap (pairs on noisy data) ----------\n", "curves_np=[]; thetas_np=[]; x50_np=[]; s50_np=[]; used_np=0\n", "for _ in range(B_NONPAR):\n", " idx = rng_main.integers(0, n, n)\n", " Xb, yb = Xn[idx], yn[idx]\n", " if yb.sum() < MIN_POS or (n - yb.sum()) < MIN_NEG: continue\n", " thb, resb = accept_fit(Xb, yb, alpha, beta, last_good_phi)\n", " if not good_fit(thb, resb, yb): continue\n", " curves_np.append(P_with(thb, xc)); thetas_np.append(thb[:6])\n", " x_ = x_at_p(thb, 0.5); x50_np.append(x_); s50_np.append(slope_at_x(thb, x_))\n", " last_good_phi = resb.x; used_np += 1\n", "curves_np = np.asarray(curves_np) if used_np else None\n", "np_lo = np.percentile(curves_np, 2.5, axis=0) if used_np else None\n", "np_hi = np.percentile(curves_np, 97.5, axis=0) if used_np else None\n", "\n", "# ---------- Conditional parametric (fix Xn, resample y|Xn) ----------\n", "px_obs = np.clip(P_with(theta_hat, Xn), 1e-9, 1-1e-9)\n", "curves_c=[]; thetas_c=[]; x50_c=[]; s50_c=[]; used_c=0\n", "for _ in range(B_COND):\n", " yb = rng_main.binomial(1, px_obs)\n", " if yb.sum() < MIN_POS or (n - yb.sum()) < MIN_NEG: continue\n", " thb, resb = accept_fit(Xn, yb, alpha, beta, last_good_phi)\n", " if not good_fit(thb, resb, yb): continue\n", " curves_c.append(P_with(thb, xc)); thetas_c.append(thb[:6])\n", " x_ = x_at_p(thb, 0.5); x50_c.append(x_); s50_c.append(slope_at_x(thb, x_))\n", " last_good_phi = resb.x; used_c += 1\n", "curves_c = np.asarray(curves_c) if used_c else None\n", "c_lo = np.percentile(curves_c, 2.5, axis=0) if used_c else None\n", "c_hi = np.percentile(curves_c, 97.5, axis=0) if used_c else None\n", "\n", "# ---------- Unconditional parametric (simulate X,y) ----------\n", "def rvs_gamma(K, TH, size): return rng_main.gamma(shape=K, scale=TH, size=size)\n", "def rvs_betaprime(A, B, S, size):\n", " g1=rng_main.gamma(shape=A, scale=1.0, size=size)\n", " g2=rng_main.gamma(shape=B, scale=1.0, size=size)\n", " return S*(g1/g2)\n", "\n", "p0,a0,b0,s0,k0,th0,_ = theta_hat\n", "curves_u=[]; thetas_u=[]; x50_u=[]; s50_u=[]; used_u=0\n", "for _ in range(B_UNCOND):\n", " yb = rng_main.binomial(1, p0, size=n)\n", " if yb.sum() < MIN_POS or (n - yb.sum()) < MIN_NEG: continue\n", " xb = np.empty(n,float); m_nc=(yb==0); m_ae=~m_nc\n", " xb[m_nc] = rvs_gamma(k0, th0, m_nc.sum())\n", " xb[m_ae] = rvs_betaprime(a0, b0, s0, m_ae.sum())\n", " xb = np.clip(xb, 1e-12, None)\n", " thb, resb = accept_fit(xb, yb, alpha, beta, last_good_phi)\n", " if not good_fit(thb, resb, yb): continue\n", " curves_u.append(P_with(thb, xc)); thetas_u.append(thb[:6])\n", " x_ = x_at_p(thb, 0.5); x50_u.append(x_); s50_u.append(slope_at_x(thb, x_))\n", " last_good_phi = resb.x; used_u += 1\n", "curves_u = np.asarray(curves_u) if used_u else None\n", "u_lo = np.percentile(curves_u, 2.5, axis=0) if used_u else None\n", "u_hi = np.percentile(curves_u, 97.5, axis=0) if used_u else None\n", "\n", "# ---------- Summaries ----------\n", "def band_stats(lo, hi):\n", " if lo is None or hi is None: return (np.nan, np.nan, np.nan)\n", " w = hi - lo\n", " return float(np.nanmean(w)), float(np.nanmin(w)), float(np.nanmax(w))\n", "\n", "wald_w = band_stats(wald_lo, wald_hi)\n", "np_w = band_stats(np_lo, np_hi)\n", "c_w = band_stats(c_lo, c_hi)\n", "u_w = band_stats(u_lo, u_hi)\n", "\n", "print(\"\\n=== Bootstrap usage (after QA) ===\")\n", "print(f\"Nonparam: used {used_np}/{B_NONPAR}\")\n", "print(f\"Conditional: used {used_c}/{B_COND}\")\n", "print(f\"Unconditional: used {used_u}/{B_UNCOND}\")\n", "\n", "print(\"\\n=== Band width mean / min / max over x∈[0, %.2f] ===\" % XMAX)\n", "print(f\"Wald : {wald_w[0]:.4f} / {wald_w[1]:.4f} / {wald_w[2]:.4f}\")\n", "print(f\"Nonparametric : {np_w[0]:.4f} / {np_w[1]:.4f} / {np_w[2]:.4f}\")\n", "print(f\"Conditional : {c_w[0]:.4f} / {c_w[1]:.4f} / {c_w[2]:.4f}\")\n", "print(f\"Unconditional : {u_w[0]:.4f} / {u_w[1]:.4f} / {u_w[2]:.4f}\")\n", "\n", "# Parameter CI tables (percentile)\n", "def ci_table(tag, thetas, x50s, s50s):\n", " if thetas is None or len(thetas)==0:\n", " print(f\"\\n{tag}: insufficient successful replicates.\"); return\n", " thetas = np.asarray(thetas); names = ['p','a','b','s','k','theta']\n", " print(f\"\\n{tag} (95% percentile CIs)\")\n", " theta_hat_vec = np.array([p,a,b,s,k,th])\n", " for i,nm in enumerate(names):\n", " lo,hi = np.percentile(thetas[:,i],[2.5,97.5])\n", " print(f\"{nm:6s}: {theta_hat_vec[i]:.6g} [{lo:.6g}, {hi:.6g}]\")\n", " def nper(arr):\n", " arr=np.asarray(arr)\n", " return (np.nanpercentile(arr,2.5), np.nanpercentile(arr,97.5)) if arr.size else (np.nan,np.nan)\n", " xlo,xhi = nper(x50s); slo,shi = nper(s50s)\n", " print(f\"x@50% : {x50:.6g} [{xlo:.6g}, {xhi:.6g}]\")\n", " print(f\"slope@50%: {s50:.6g} [{slo:.6g}, {shi:.6g}]\")\n", "\n", "ci_table(\"Nonparametric\", thetas_np, x50_np, s50_np)\n", "ci_table(\"Conditional parametric\", thetas_c, x50_c, s50_c)\n", "ci_table(\"Unconditional parametric\", thetas_u, x50_u, s50_u)\n", "\n", "# ---------- Plot: razor-sharp, highly distinguishable bands ----------\n", "COL_UNC = \"#e31a1c\" # red\n", "COL_NON = \"#33a02c\" # green\n", "COL_CON = \"#1f78b4\" # blue\n", "COL_WALD = \"#6a3d9a\" # purple\n", "COL_MAP = \"#000000\" # black\n", "COL_NC = \"#222222\" # near-black for NC markers\n", "COL_AE = \"#ff7f0e\" # orange for AE markers\n", "\n", "fig, ax = plt.subplots(figsize=(9.6, 5.6), dpi=160)\n", "\n", "def band(ax, x, lo, hi, color, label, z, hatch=None):\n", " if lo is None or hi is None:\n", " return None\n", " poly = ax.fill_between(x, lo, hi, facecolor=color, alpha=0.22,\n", " edgecolor=color, linewidth=1.4, label=label, zorder=z)\n", " ax.plot(x, lo, color=color, lw=1.6, zorder=z+0.1)\n", " ax.plot(x, hi, color=color, lw=1.6, zorder=z+0.1)\n", " if hatch is not None:\n", " poly.set_hatch(hatch)\n", " return poly\n", "\n", "# Draw wider bands first\n", "band(ax, xc, u_lo, u_hi, COL_UNC, \"Unconditional 95%\", 1, hatch=\"///\")\n", "band(ax, xc, np_lo, np_hi, COL_NON, \"Nonparametric 95%\", 2, hatch=\"\\\\\\\\\\\\\")\n", "band(ax, xc, c_lo, c_hi, COL_CON, \"Conditional 95%\", 3, hatch=\"...\")\n", "band(ax, xc, wald_lo, wald_hi, COL_WALD, \"Wald 95%\", 4, hatch=\"xx\")\n", "\n", "# MAP curve\n", "ax.plot(xc, pmap, color=COL_MAP, lw=3.0, label=\"P(AE|x) (MAP)\", zorder=5)\n", "\n", "# Jittered points with strong contrast\n", "rngp = np.random.default_rng(999)\n", "jit = (rngp.random(len(yn)) - 0.5) * 0.06\n", "ax.scatter(Xn[yn == 0], (yn + jit)[yn == 0], s=26, marker=\"x\",\n", " linewidths=1.2, color=COL_NC, alpha=0.9, label=\"NC\", zorder=6)\n", "ax.scatter(Xn[yn == 1], (yn + jit)[yn == 1], s=34, marker=\"o\",\n", " facecolor=COL_AE, edgecolor=\"black\", linewidths=0.9,\n", " alpha=0.95, label=\"AE\", zorder=7)\n", "\n", "ax.set(xlim=(0, XMAX), ylim=(-0.05, 1.05), xlabel=\"noisy SUV\", ylabel=\"P(AE | x)\")\n", "ax.set_title(f\"Noisy data (σ={SIGMA_NOISE}): sharp bands\")\n", "ax.legend(frameon=False, loc=\"lower right\", ncol=1, fontsize=10)\n", "ax.grid(alpha=0.25)\n", "plt.tight_layout(); plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "dfdb0b21", "metadata": {}, "outputs": [], "source": [ "Sigma: 0.05, 0.03, 0.02, 0.01, calculate CI with 1000 samples. plotting median. \n", "\n", "Check add_noise\n", "Sensitivity on parametrs \n", "x_i -> x_i (1 + dx), dx ~ 0.1 N(0,1) \n", "x_i -> x_i + dx, dx ~ 0.1 N(0,1) \n", "i) a=0.05, x_i -> x_i (1 + dx), dx ~ a N(0,1) \n", "ii) a=0.10, x_i -> x_i (1 + dx), dx ~ a N(0,1) \n", "A summary: doing 1000 tries for each noise band type bootstrapping , we get: CI. if the fit stable with noise or not. if we increase the noise ehat will happen? " ] }, { "cell_type": "markdown", "id": "1c94d9e7", "metadata": {}, "source": [] }, { "cell_type": "code", "execution_count": 28, "id": "d4cf986a", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_3256\\378587471.py:56: RuntimeWarning: overflow encountered in exp\n", " def sigmoid(t): return 1/(1+np.exp(-t))\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "=== Bootstrap replicate usage per panel (used / requested) ===\n", "ORIG σ=0.00 | NP 206/400 CND 226/400 UNC 65/400\n", "ORIG σ=0.05 | NP 234/400 CND 245/400 UNC 58/400\n", "ORIG σ=0.10 | NP 208/400 CND 239/400 UNC 64/400\n", "ORIG σ=0.20 | NP 220/400 CND 227/400 UNC 63/400\n", "TRIM σ=0.00 | NP 227/400 CND 298/400 UNC 58/400\n", "TRIM σ=0.05 | NP 224/400 CND 286/400 UNC 62/400\n", "TRIM σ=0.10 | NP 210/400 CND 267/400 UNC 53/400\n", "TRIM σ=0.20 | NP 216/400 CND 260/400 UNC 67/400\n", "Wrote gof_summary.csv and bandwidth_summary.csv\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Saved sensitivity CSVs in results_sensitivity/\n" ] } ], "source": [ "# ===================== Full pipeline + Sensitivity probes (ORIG/TRIM) =====================\n", "# - Constrained Bayes MAP fit (Gamma NC, Beta-Prime AE)\n", "# - Priors: Beta on prevalence p, weak prior on r=theta/theta_max\n", "# - CI bands: Wald, Nonparam (pairs), Conditional param (y|X), Unconditional param (X,y)\n", "# - Noisy scenarios (lognormal multiplicative)\n", "# - GOF + CSV export\n", "# - Sensitivity: x -> x*(1+aN) and x -> x + aN, a in {0.05, 0.10}; 1000 reps; bands+median curves\n", "\n", "import numpy as np, matplotlib.pyplot as plt\n", "from scipy import optimize\n", "from scipy.special import betaln, gammaln\n", "from scipy.optimize import brentq\n", "import scipy.io as io\n", "import csv, os\n", "\n", "# ---------------- Config ----------------\n", "data_path = \"../data/\"\n", "MAT_KEY = \"lung_SUVperc_COMBINED\"\n", "FLAGCOL = 3\n", "ROW_MAX = 58\n", "PLANE_P94 = 94\n", "\n", "# Outlier trim\n", "DROP_VAL = 2.48122597\n", "TOL = 1e-2\n", "\n", "# Grid/plot\n", "XMAX, GRID_N = 5.0, 600\n", "SEED = 2025\n", "\n", "# Bootstraps for main panels\n", "B_NONPAR = 400\n", "B_COND = 400\n", "B_UNCOND = 400\n", "\n", "# Priors\n", "USE_PRIOR_P = True\n", "TAU = 25.0\n", "PRIOR_R = (1.05, 1.05)\n", "\n", "# QA guards\n", "MIN_POS = 5\n", "MIN_NEG = 5\n", "RESEED = 777\n", "\n", "# Noise levels in main 2x4 panel\n", "SIGMAS = [None, 0.05, 0.10, 0.20] # None -> clean\n", "\n", "# Sensitivity probe config\n", "SENS_A_LEVELS = (0.05, 0.10)\n", "SENS_REPS = 2000\n", "SENS_SEED = 4242\n", "\n", "# ---------------- Core math ----------------\n", "def logistic(z): return 1/(1+np.exp(-np.clip(z,-60,60)))\n", "def sigmoid(t): return 1/(1+np.exp(-t))\n", "def softplus(t): return np.log1p(np.exp(-np.abs(t))) + np.maximum(t,0)\n", "\n", "def dE_full(x,a,b,s,k,th):\n", " x = np.asarray(x,float); eps=1e-12\n", " s_ = np.clip(s,eps,None); th_ = np.clip(th,eps,None)\n", " return ((a-k)*np.log(np.clip(x,eps,None)) - (a+b)*np.log1p(x/s_) + x/th_\n", " - a*np.log(s_) - betaln(a,b) + k*np.log(th_) + gammaln(k))\n", "\n", "def theta_max(a,b,k,s,eps=1e-12):\n", " A=a-k\n", " if A<=0: return np.inf\n", " r=np.sqrt(a+b)-np.sqrt(max(A,eps))\n", " return np.inf if r<=1e-12 else s/(r*r)\n", "\n", "# φ=[p_raw,b_raw,s_raw,k_raw,d_raw,u_raw]; a=k+softplus(d_raw); th=sigmoid(u)*thcap\n", "def unpack(phi):\n", " p_raw,b_raw,s_raw,k_raw,d_raw,u_raw = phi\n", " p = sigmoid(p_raw)\n", " b = softplus(b_raw) + 1e-6\n", " s = softplus(s_raw) + 1e-6\n", " k = softplus(k_raw) + 1e-6\n", " a = k + softplus(d_raw) + 1e-6\n", " thcap = theta_max(a,b,k,s)\n", " th = thcap * sigmoid(u_raw)\n", " return p,a,b,s,k,th,thcap\n", "\n", "def neg_post(phi, X, y, alpha, beta):\n", " p,a,b,s,k,th,thcap = unpack(phi); eps=1e-12\n", " L = (np.log(np.clip(p,eps,1)) - np.log(np.clip(1-p,eps,1))) + dE_full(X,a,b,s,k,th)\n", " px = logistic(L)\n", " total = -np.sum(y*np.log(np.clip(px,eps,1)) + (1-y)*np.log(np.clip(1-px,eps,1)))\n", " if USE_PRIOR_P:\n", " total += -((alpha-1)*np.log(np.clip(p,eps,1)) + (beta-1)*np.log(np.clip(1-p,eps,1)))\n", " if PRIOR_R is not None and np.isfinite(thcap) and thcap>0:\n", " r = np.clip(th/thcap, 1e-9, 1-1e-9)\n", " total += -((PRIOR_R[0]-1)*np.log(r) + (PRIOR_R[1]-1)*np.log(1-r))\n", " return total\n", "\n", "def init_phi(X,y):\n", " X0=X[y==0]; m0=X0.mean() if X0.size else X.mean(); v0=X0.var() if X0.size else X.var()\n", " k0=2.0 if v0<=0 else max((m0*m0)/(v0+1e-9),1.5)\n", " X1=X[y==1]; m1=np.median(X1) if X1.size else np.median(X)\n", " p0=np.clip(float(y.mean()),1e-3,1-1e-3); b0,s0=1.5, max(m1,0.5)\n", " return np.array([np.log(p0/(1-p0)),\n", " np.log(np.expm1(b0)+1e-9),\n", " np.log(np.expm1(s0)+1e-9),\n", " np.log(np.expm1(k0)+1e-9),\n", " np.log(np.expm1(1.0)+1e-9),\n", " -0.2], float)\n", "\n", "def fit_once(X,y, alpha, beta, rng=np.random.default_rng(0), warm_phi=None):\n", " w0 = init_phi(X,y) if warm_phi is None else warm_phi\n", " obj=lambda w:neg_post(w,X,y,alpha,beta)\n", " res=optimize.minimize(obj, w0, method=\"L-BFGS-B\",\n", " options={\"maxiter\":6000,\"ftol\":1e-9})\n", " if not (res.success and np.isfinite(res.fun)) and warm_phi is None:\n", " res=optimize.minimize(obj, w0 + rng.normal(0,0.2,6), method=\"L-BFGS-B\",\n", " options={\"maxiter\":6000,\"ftol\":1e-9})\n", " return unpack(res.x), res.x, res\n", "\n", "def P_with(theta, x):\n", " p,a,b,s,k,th,_ = theta\n", " return logistic((np.log(p)-np.log(1-p)) + dE_full(x,a,b,s,k,th))\n", "\n", "def x_at_p(theta, p_target=0.5, lo=1e-6, hi=10.0):\n", " f = lambda x: P_with(theta, x) - p_target\n", " try:\n", " return float(brentq(f, lo, hi)) if f(lo)*f(hi) <= 0 else np.nan\n", " except Exception:\n", " return np.nan\n", "\n", "def slope_at_x(theta, x0):\n", " if not np.isfinite(x0): return np.nan\n", " h = 1e-3*(1+abs(x0))\n", " return float((P_with(theta, x0+h)-P_with(theta, x0-h))/(2*h))\n", "\n", "# Finite-diff Hessian/Jacobian\n", "def hess_fd(F, w):\n", " w=np.asarray(w,float); n=w.size; H=np.zeros((n,n)); h=1e-4*(1+np.abs(w))\n", " def grad(z):\n", " g=np.zeros(n)\n", " for j in range(n):\n", " e=np.zeros(n); e[j]=1\n", " g[j]=(F(z+h[j]*e)-F(z-h[j]*e))/(2*h[j])\n", " return g\n", " for i in range(n):\n", " e=np.zeros(n); e[i]=1\n", " H[:,i]=(grad(w+h[i]*e)-grad(w-h[i]*e))/(2*h[i])\n", " return 0.5*(H+H.T)\n", "\n", "def jac_fd(G, w):\n", " w=np.asarray(w,float); f0=np.asarray(G(w)); m=f0.size; n=w.size\n", " J=np.zeros((m,n)); h=1e-4*(1+np.abs(w))\n", " for j in range(n):\n", " e=np.zeros(n); e[j]=1\n", " J[:,j]=(np.asarray(G(w+h[j]*e))-np.asarray(G(w-h[j]*e)))/(2*h[j])\n", " return J\n", "\n", "def wald_band(phi_hat, X, y, alpha, beta, xc):\n", " H = hess_fd(lambda w: neg_post(w, X, y, alpha, beta), phi_hat)\n", " Sigma_phi = np.linalg.pinv(H)\n", " Jp = jac_fd(lambda w: P_with(unpack(w), xc), phi_hat)\n", " var_p = np.einsum('ij,jk,ik->i', Jp, Sigma_phi, Jp)\n", " se_p = np.sqrt(np.maximum(var_p,0.0))\n", " return np.clip(se_p,0,None)\n", "\n", "# ---------------- Bootstraps for one dataset (bands + median) ----------------\n", "def run_bootstraps(X, y, alpha, beta, xc, reps_np, reps_c, reps_u, seed=SEED, warm_start=None):\n", " rng = np.random.default_rng(seed)\n", " rng_fit = np.random.default_rng(RESEED)\n", " last_phi = warm_start\n", "\n", " theta_hat, phi_hat, res = fit_once(X, y, alpha, beta, np.random.default_rng(seed))\n", " pmap = P_with(theta_hat, xc)\n", " se_p = wald_band(phi_hat, X, y, alpha, beta, xc)\n", " w_lo = np.clip(pmap - 1.96*se_p, 0, 1)\n", " w_hi = np.clip(pmap + 1.96*se_p, 0, 1)\n", "\n", " # Nonparametric\n", " curves_np=[]; used_np=0; n=len(X)\n", " for _ in range(reps_np):\n", " idx = rng.integers(0, n, n)\n", " Xb, yb = X[idx], y[idx]\n", " if yb.sum() < MIN_POS or (n - yb.sum()) < MIN_NEG: continue\n", " thb, phi_b, resb = fit_once(Xb, yb, alpha, beta, rng_fit, warm_phi=last_phi)\n", " if not (resb.success and np.isfinite(resb.fun)): continue\n", " curves_np.append(P_with(thb, xc))\n", " last_phi = resb.x; used_np += 1\n", " np_lo = np.percentile(curves_np, 2.5, axis=0) if used_np else None\n", " np_hi = np.percentile(curves_np, 97.5, axis=0) if used_np else None\n", " np_md = np.percentile(curves_np, 50.0, axis=0) if used_np else None\n", "\n", " # Conditional (y|X)\n", " px_obs = np.clip(P_with(theta_hat, X), 1e-9, 1-1e-9)\n", " curves_c=[]; used_c=0\n", " for _ in range(reps_c):\n", " yb = rng.binomial(1, px_obs)\n", " if yb.sum() < MIN_POS or (n - yb.sum()) < MIN_NEG: continue\n", " thb, phi_b, resb = fit_once(X, yb, alpha, beta, rng_fit, warm_phi=last_phi)\n", " if not (resb.success and np.isfinite(resb.fun)): continue\n", " curves_c.append(P_with(thb, xc))\n", " last_phi = resb.x; used_c += 1\n", " c_lo = np.percentile(curves_c, 2.5, axis=0) if used_c else None\n", " c_hi = np.percentile(curves_c, 97.5, axis=0) if used_c else None\n", " c_md = np.percentile(curves_c, 50.0, axis=0) if used_c else None\n", "\n", " # Unconditional (X,y)\n", " def rvs_gamma(K, TH, size): return rng.gamma(shape=K, scale=TH, size=size)\n", " def rvs_betaprime(A, B, S, size):\n", " g1=rng.gamma(shape=A, scale=1.0, size=size)\n", " g2=rng.gamma(shape=B, scale=1.0, size=size)\n", " return S*(g1/g2)\n", " p0,a0,b0,s0,k0,th0,_ = theta_hat\n", " curves_u=[]; used_u=0\n", " for _ in range(reps_u):\n", " yb = rng.binomial(1, p0, size=n)\n", " if yb.sum() < MIN_POS or (n - yb.sum()) < MIN_NEG: continue\n", " xb = np.empty(n,float); m_nc=(yb==0); m_ae=~m_nc\n", " xb[m_nc] = rvs_gamma(k0, th0, m_nc.sum())\n", " xb[m_ae] = rvs_betaprime(a0, b0, s0, m_ae.sum())\n", " xb = np.clip(xb, 1e-12, None)\n", " thb, phi_b, resb = fit_once(xb, yb, alpha, beta, rng_fit, warm_phi=last_phi)\n", " if not (resb.success and np.isfinite(resb.fun)): continue\n", " curves_u.append(P_with(thb, xc))\n", " last_phi = resb.x; used_u += 1\n", " u_lo = np.percentile(curves_u, 2.5, axis=0) if used_u else None\n", " u_hi = np.percentile(curves_u, 97.5, axis=0) if used_u else None\n", " u_md = np.percentile(curves_u, 50.0, axis=0) if used_u else None\n", "\n", " return dict(theta_hat=theta_hat, pmap=pmap,\n", " wald=(w_lo,w_hi),\n", " nonparam=(np_lo,np_hi,used_np,np_md),\n", " cond=(c_lo,c_hi,used_c,c_md),\n", " uncond=(u_lo,u_hi,used_u,u_md))\n", "\n", "# ---------------- Noise helper ----------------\n", "def add_noise_lognormal(X, sigma, rng):\n", " if sigma is None:\n", " return X.copy()\n", " return np.clip(X * np.exp(rng.normal(0, sigma, size=X.shape)), 1e-12, None)\n", "\n", "# ---------------- Load data & trim ----------------\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")[MAT_KEY][0:ROW_MAX, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:ROW_MAX, FLAGCOL]\n", "X0 = np.nanmax(suv[:, :, PLANE_P94], axis=1).astype(float).ravel()\n", "y0 = np.asarray(flags, int).ravel()\n", "X0 = np.clip(X0, 1e-12, None)\n", "\n", "keep = np.abs(X0 - DROP_VAL) > TOL\n", "X_trim, y_trim = X0[keep], y0[keep]\n", "\n", "xc = np.linspace(0, XMAX, GRID_N)\n", "\n", "# ---------------- Build scenarios (main 2x4) ----------------\n", "scenarios = []\n", "rng_master = np.random.default_rng(SEED)\n", "\n", "for label_data, X_base, y_base in ((\"ORIG\", X0, y0), (\"TRIM\", X_trim, y_trim)):\n", " for sigma in SIGMAS:\n", " Xn = add_noise_lognormal(X_base, sigma, rng_master)\n", " p_emp = float(y_base.mean())\n", " alpha = max(TAU*p_emp, 1e-6); beta = max(TAU*(1-p_emp), 1e-6)\n", " out = run_bootstraps(Xn, y_base, alpha, beta, xc,\n", " B_NONPAR, B_COND, B_UNCOND,\n", " seed=SEED + (0 if sigma is None else int(1e4*sigma)))\n", " scenarios.append(dict(tag=f\"{label_data} σ={sigma if sigma is not None else 0:.2f}\",\n", " label=label_data, sigma=sigma, X=Xn, y=y_base, out=out))\n", "\n", "# ---------------- Plot: 2x4 grid with bands + MAP + MEDIAN ----------------\n", "COL_UNC = \"#e31a1c\" # red\n", "COL_CON = \"#1f78b4\" # blue\n", "COL_NON = \"#33a02c\" # green\n", "COL_WALD = \"#6a3d9a\" # purple\n", "COL_MAP = \"#000000\"\n", "COL_NC = \"#222222\"\n", "COL_AE = \"#ff7f0e\"\n", "\n", "fig, axes = plt.subplots(2, 4, figsize=(18, 8), dpi=140, sharex=True, sharey=True)\n", "axes = axes.ravel()\n", "\n", "def band(ax, lo, hi, color, z):\n", " if lo is None or hi is None: return\n", " ax.fill_between(xc, lo, hi, facecolor=color, alpha=0.18, edgecolor=color, linewidth=1.0, zorder=z)\n", " ax.plot(xc, lo, color=color, lw=1.0, zorder=z+0.1)\n", " ax.plot(xc, hi, color=color, lw=1.0, zorder=z+0.1)\n", "\n", "for ax, sc in zip(axes, scenarios):\n", " out = sc[\"out\"]\n", " u_lo,u_hi,_,u_md = out[\"uncond\"]\n", " n_lo,n_hi,_,n_md = out[\"nonparam\"]\n", " c_lo,c_hi,_,c_md = out[\"cond\"]\n", " w_lo,w_hi = out[\"wald\"]\n", "\n", " band(ax, u_lo, u_hi, COL_UNC, 1)\n", " band(ax, n_lo, n_hi, COL_NON, 2)\n", " band(ax, c_lo, c_hi, COL_CON, 3)\n", " band(ax, w_lo, w_hi, COL_WALD, 4)\n", "\n", " ax.plot(xc, out[\"pmap\"], color=COL_MAP, lw=2.2, zorder=5)\n", " if u_md is not None: ax.plot(xc, u_md, color=COL_UNC, lw=2.0, alpha=0.95, zorder=6)\n", " if n_md is not None: ax.plot(xc, n_md, color=COL_NON, lw=2.0, alpha=0.95, zorder=6)\n", " if c_md is not None: ax.plot(xc, c_md, color=COL_CON, lw=2.0, alpha=0.95, zorder=6)\n", "\n", " Xp, yp = sc[\"X\"], sc[\"y\"]\n", " rngp = np.random.default_rng(999)\n", " jit = (rngp.random(len(yp)) - 0.5)*0.06\n", " ax.scatter(Xp[yp==0], (yp+jit)[yp==0], s=16, marker=\"x\", color=COL_NC, alpha=0.8, zorder=7)\n", " ax.scatter(Xp[yp==1], (yp+jit)[yp==1], s=24, marker=\"o\",\n", " facecolor=COL_AE, edgecolor=\"black\", linewidths=0.6, alpha=0.9, zorder=8)\n", "\n", " ax.set_title(sc[\"tag\"]); ax.grid(alpha=0.25)\n", " ax.set_xlim(0, XMAX); ax.set_ylim(-0.05, 1.05)\n", "\n", "for ax in axes[::4]: ax.set_ylabel(\"P(AE | x)\")\n", "for ax in axes[-4:]: ax.set_xlabel(\"SUV (noisy where σ>0)\")\n", "handles = [\n", " plt.Line2D([0],[0], color=COL_UNC, lw=2, label=\"Uncond median\"),\n", " plt.Line2D([0],[0], color=COL_NON, lw=2, label=\"Nonparam median\"),\n", " plt.Line2D([0],[0], color=COL_CON, lw=2, label=\"Cond median\"),\n", " plt.Line2D([0],[0], color=COL_MAP, lw=2, label=\"MAP\"),\n", "]\n", "fig.legend(handles=handles, loc=\"lower center\", ncol=4, frameon=False)\n", "fig.suptitle(\"Original vs Trimmed, Clean vs Noisy: bands + MEDIAN curves\", y=0.98, fontsize=12)\n", "plt.tight_layout(rect=[0,0.06,1,0.96]); plt.show()\n", "\n", "# ---------------- Console usage summary ----------------\n", "print(\"\\n=== Bootstrap replicate usage per panel (used / requested) ===\")\n", "for sc in scenarios:\n", " np_used = sc[\"out\"][\"nonparam\"][2]\n", " c_used = sc[\"out\"][\"cond\"][2]\n", " u_used = sc[\"out\"][\"uncond\"][2]\n", " print(f\"{sc['tag']:<14s} | NP {np_used}/{B_NONPAR} CND {c_used}/{B_COND} UNC {u_used}/{B_UNCOND}\")\n", "\n", "# ---------------- GOF + Bandwidth CSV export ----------------\n", "def _band_stats(lo, hi):\n", " if lo is None or hi is None:\n", " return (np.nan, np.nan, np.nan)\n", " w = np.asarray(hi) - np.asarray(lo)\n", " return float(np.nanmean(w)), float(np.nanmin(w)), float(np.nanmax(w))\n", "\n", "gof_rows = []\n", "bw_rows = []\n", "for sc in scenarios:\n", " label = sc[\"tag\"]\n", " X, y = sc[\"X\"], sc[\"y\"]\n", " p_emp = float(y.mean()); alpha = max(TAU*p_emp,1e-6); beta = max(TAU*(1-p_emp),1e-6)\n", " theta_hat, phi_hat, res = fit_once(X, y, alpha, beta, np.random.default_rng(SEED))\n", " p,a,b,s,k,th,thcap = theta_hat\n", " px = np.clip(P_with(theta_hat, X), 1e-12, 1-1e-12)\n", " nll = -np.sum(y*np.log(px) + (1-y)*np.log(1-px)); llf = -nll\n", " kpar = 6; AIC = 2*kpar + 2*nll; BIC = kpar*np.log(len(X)) + 2*nll\n", " brier = float(np.mean((px - y)**2))\n", " y_int = y.astype(int); n_pos = int(y_int.sum()); n_neg = int((1-y_int).sum())\n", " if n_pos>0 and n_neg>0:\n", " order=np.argsort(-px); y_ord=y_int[order]\n", " tp=np.cumsum(y_ord); fp=np.cumsum(1-y_ord)\n", " tpr=tp/n_pos; fpr=fp/n_neg\n", " auc=float(np.trapezoid(tpr, fpr))\n", " else:\n", " auc=np.nan\n", " x50 = x_at_p(theta_hat, 0.5); slope = slope_at_x(theta_hat, x50)\n", " r_ratio = float(th/thcap) if np.isfinite(thcap) and thcap>0 else np.nan\n", " gof_rows.append([label, llf, AIC, BIC, brier, auc, x50, slope, r_ratio])\n", "\n", " w_lo,w_hi = sc[\"out\"][\"wald\"]\n", " n_lo,n_hi,_,_ = sc[\"out\"][\"nonparam\"]\n", " c_lo,c_hi,_,_ = sc[\"out\"][\"cond\"]\n", " u_lo,u_hi,_,_ = sc[\"out\"][\"uncond\"]\n", " bw_rows.append([label, *_band_stats(w_lo,w_hi), *_band_stats(n_lo,n_hi),\n", " *_band_stats(c_lo,c_hi), *_band_stats(u_lo,u_hi)])\n", "\n", "with open(\"gof_summary.csv\",\"w\",newline=\"\") as f:\n", " w=csv.writer(f); w.writerow([\"label\",\"LLF\",\"AIC\",\"BIC\",\"Brier\",\"AUC\",\"x@50%\",\"slope@50%\",\"r_ratio\"]); w.writerows(gof_rows)\n", "with open(\"bandwidth_summary.csv\",\"w\",newline=\"\") as f:\n", " w=csv.writer(f); w.writerow([\"label\",\"wald_mean\",\"wald_min\",\"wald_max\",\"np_mean\",\"np_min\",\"np_max\",\"cond_mean\",\"cond_min\",\"cond_max\",\"unc_mean\",\"unc_min\",\"unc_max\"]); w.writerows(bw_rows)\n", "print(\"Wrote gof_summary.csv and bandwidth_summary.csv\")\n", "\n", "# ===================== Sensitivity probes (multiplicative & additive) =====================\n", "os.makedirs(\"results_sensitivity\", exist_ok=True)\n", "\n", "def perturb_X(X, a, mode, rng):\n", " z = rng.normal(0, 1, size=X.shape)\n", " if mode == \"multiplicative\": # x_i -> x_i (1 + a N(0,1))\n", " return np.clip(X * (1 + a*z), 1e-12, None)\n", " elif mode == \"additive\": # x_i -> x_i + a N(0,1)\n", " return np.clip(X + a*z, 1e-12, None)\n", " else:\n", " raise ValueError(\"mode must be 'multiplicative' or 'additive'\")\n", "\n", "def sensitivity_curves(X, y, a, mode, reps=SENS_REPS, seed=SENS_SEED):\n", " rng = np.random.default_rng(seed + int(1e4*a) + (0 if mode==\"multiplicative\" else 1))\n", " p_emp = float(y.mean()); alpha=max(TAU*p_emp,1e-6); beta=max(TAU*(1-p_emp),1e-6)\n", " curves=[]; thetas=[]; x50s=[]; s50s=[]; used=0\n", " warm=None\n", " for _ in range(reps):\n", " Xp = perturb_X(X, a, mode, rng)\n", " theta_hat, phi_hat, res = fit_once(Xp, y, alpha, beta, rng, warm_phi=warm)\n", " if not (res.success and np.isfinite(res.fun)): continue\n", " curves.append(P_with(theta_hat, xc))\n", " thetas.append(theta_hat[:6])\n", " x_ = x_at_p(theta_hat, 0.5); x50s.append(x_)\n", " s50s.append(slope_at_x(theta_hat, x_))\n", " warm = res.x; used += 1\n", " if used==0:\n", " return dict(used=0)\n", " curves=np.asarray(curves); thetas=np.asarray(thetas)\n", " lo=np.percentile(curves,2.5,axis=0); md=np.percentile(curves,50,axis=0); hi=np.percentile(curves,97.5,axis=0)\n", " q_low,q_med,q_hi = np.percentile(thetas,[2.5,50,97.5],axis=0)\n", " x_lo,x_md,x_hi = np.nanpercentile(x50s,[2.5,50,97.5])\n", " s_lo,s_md,s_hi = np.nanpercentile(s50s,[2.5,50,97.5])\n", " # csv dump\n", " out_csv = f\"results_sensitivity/curves_{mode}_a{str(a).replace('.','p')}.csv\"\n", " with open(out_csv,\"w\",newline=\"\") as f:\n", " w=csv.writer(f); w.writerow([\"x\",\"lo\",\"median\",\"hi\"]); [w.writerow([float(xc[i]), float(lo[i]), float(md[i]), float(hi[i])]) for i in range(len(xc))]\n", " out_csv2 = f\"results_sensitivity/params_{mode}_a{str(a).replace('.','p')}.csv\"\n", " names=['p','a','b','s','k','theta']\n", " with open(out_csv2,\"w\",newline=\"\") as f:\n", " w=csv.writer(f); w.writerow([\"param\",\"ci_low\",\"median\",\"ci_high\"])\n", " for i,nm in enumerate(names): w.writerow([nm, q_low[i], q_med[i], q_hi[i]])\n", " w.writerow([\"x@50%\", x_lo, x_md, x_hi]); w.writerow([\"slope@50%\", s_lo, s_md, s_hi])\n", " return dict(used=used, lo=lo, md=md, hi=hi,\n", " q_low=q_low, q_med=q_med, q_hi=q_hi,\n", " x_ci=(x_lo,x_md,x_hi), s_ci=(s_lo,s_md,s_hi))\n", "\n", "# Run sensitivity on clean ORIG/TRIM (comparability)\n", "sens_results = {} # keyed by (dataset, mode, a)\n", "for ds_name, Xb, yb in ((\"ORIG\", X0, y0), (\"TRIM\", X_trim, y_trim)):\n", " for mode in (\"multiplicative\", \"additive\"):\n", " for a in SENS_A_LEVELS:\n", " sens_results[(ds_name, mode, a)] = sensitivity_curves(Xb, yb, a, mode, reps=SENS_REPS, seed=SENS_SEED)\n", "\n", "# ---------------- Plot: 2×2 sensitivity (ORIG/TRIM × multiplicative/additive) -------------\n", "COL_A05 = \"#1b9e77\" # green\n", "COL_A10 = \"#d95f02\" # orange\n", "\n", "def draw_sens_panel(ax, base_theta, res_a05, res_a10, title):\n", " # baseline MAP from clean dataset:\n", " ax.plot(xc, P_with(base_theta, xc), color=COL_MAP, lw=2.4, label=\"MAP (clean)\", zorder=5)\n", "\n", " def band(x, lo, hi, color, label, z):\n", " if lo is None or hi is None: return\n", " ax.fill_between(x, lo, hi, facecolor=color, alpha=0.20, edgecolor=color, linewidth=1.0, zorder=z, label=label)\n", " ax.plot(x, lo, color=color, lw=1.0, zorder=z+0.1)\n", " ax.plot(x, hi, color=color, lw=1.0, zorder=z+0.1)\n", "\n", " if res_a05.get(\"used\",0)>0:\n", " band(xc, res_a05[\"lo\"], res_a05[\"hi\"], COL_A05, \"a=0.05 band\", 1)\n", " ax.plot(xc, res_a05[\"md\"], color=COL_A05, lw=2.0, zorder=6, label=\"a=0.05 median\")\n", " if res_a10.get(\"used\",0)>0:\n", " band(xc, res_a10[\"lo\"], res_a10[\"hi\"], COL_A10, \"a=0.10 band\", 2)\n", " ax.plot(xc, res_a10[\"md\"], color=COL_A10, lw=2.0, zorder=7, label=\"a=0.10 median\")\n", "\n", " ax.set(xlim=(0,XMAX), ylim=(-0.05,1.05)); ax.grid(alpha=0.25); ax.set_title(title)\n", "\n", "# Fit clean baselines to get MAP for ORIG/TRIM\n", "def fit_clean_theta(X, y):\n", " p_emp=float(y.mean()); a=max(TAU*p_emp,1e-6); b=max(TAU*(1-p_emp),1e-6)\n", " th,_,_ = fit_once(X, y, a, b, np.random.default_rng(SEED))\n", " return th\n", "\n", "theta_clean_ORIG = fit_clean_theta(X0, y0)\n", "theta_clean_TRIM = fit_clean_theta(X_trim, y_trim)\n", "\n", "fig, axes = plt.subplots(2, 2, figsize=(12, 8), dpi=140, sharex=True, sharey=True)\n", "axes = axes.ravel()\n", "\n", "draw_sens_panel(\n", " axes[0], theta_clean_ORIG,\n", " sens_results[(\"ORIG\",\"multiplicative\",0.05)],\n", " sens_results[(\"ORIG\",\"multiplicative\",0.10)],\n", " \"ORIG • multiplicative\"\n", ")\n", "draw_sens_panel(\n", " axes[1], theta_clean_ORIG,\n", " sens_results[(\"ORIG\",\"additive\",0.05)],\n", " sens_results[(\"ORIG\",\"additive\",0.10)],\n", " \"ORIG • additive\"\n", ")\n", "draw_sens_panel(\n", " axes[2], theta_clean_TRIM,\n", " sens_results[(\"TRIM\",\"multiplicative\",0.05)],\n", " sens_results[(\"TRIM\",\"multiplicative\",0.10)],\n", " \"TRIM • multiplicative\"\n", ")\n", "draw_sens_panel(\n", " axes[3], theta_clean_TRIM,\n", " sens_results[(\"TRIM\",\"additive\",0.05)],\n", " sens_results[(\"TRIM\",\"additive\",0.10)],\n", " \"TRIM • additive\"\n", ")\n", "\n", "for ax in axes[::2]: ax.set_ylabel(\"P(AE | x)\")\n", "for ax in axes[-2:]: ax.set_xlabel(\"SUV (sensitivity)\")\n", "\n", "handles = [\n", " plt.Line2D([0],[0], color=COL_MAP, lw=2.4, label=\"MAP (clean)\"),\n", " plt.Line2D([0],[0], color=COL_A05, lw=2.0, label=\"a=0.05 median\"),\n", " plt.Line2D([0],[0], color=COL_A10, lw=2.0, label=\"a=0.10 median\"),\n", "]\n", "fig.legend(handles=handles, loc=\"lower center\", ncol=3, frameon=False)\n", "fig.suptitle(\"Sensitivity bands and medians (ORIG/TRIM × multiplicative/additive)\", y=0.98, fontsize=12)\n", "plt.tight_layout(rect=[0,0.04,1,0.96]); plt.show()\n", "\n", "print(\"\\nSaved sensitivity CSVs in results_sensitivity/\")\n" ] }, { "cell_type": "code", "execution_count": 29, "id": "bad41676", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "[Score sensitivity] ORIG (on grid)\n", " param mean|score| rms(score)\n", " p nan nan\n", " a nan nan\n", " b nan nan\n", " s nan nan\n", " k nan nan\n", " theta nan nan\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_3256\\2490218294.py:51: RuntimeWarning: overflow encountered in exp\n", " out[m] = np.exp(-betaln(a,b)) * (z**(a-1)) * ((1+z)**(-(a+b))) / s\n", "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_3256\\2490218294.py:51: RuntimeWarning: overflow encountered in power\n", " out[m] = np.exp(-betaln(a,b)) * (z**(a-1)) * ((1+z)**(-(a+b))) / s\n", "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_3256\\2490218294.py:51: RuntimeWarning: invalid value encountered in multiply\n", " out[m] = np.exp(-betaln(a,b)) * (z**(a-1)) * ((1+z)**(-(a+b))) / s\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "[Score sensitivity] TRIM (on grid)\n", " param mean|score| rms(score)\n", " p nan nan\n", " a nan nan\n", " b nan nan\n", " s nan nan\n", " k nan nan\n", " theta nan nan\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_3256\\2490218294.py:51: RuntimeWarning: overflow encountered in power\n", " out[m] = np.exp(-betaln(a,b)) * (z**(a-1)) * ((1+z)**(-(a+b))) / s\n", "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_3256\\2490218294.py:51: RuntimeWarning: overflow encountered in multiply\n", " out[m] = np.exp(-betaln(a,b)) * (z**(a-1)) * ((1+z)**(-(a+b))) / s\n", "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_3256\\2490218294.py:51: RuntimeWarning: invalid value encountered in multiply\n", " out[m] = np.exp(-betaln(a,b)) * (z**(a-1)) * ((1+z)**(-(a+b))) / s\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ===================== Parameter-to-data sensitivity (plug-in) =====================\n", "# What you get:\n", "# • score_sensitivity(theta, X): per-x gradient of log f_mix(x | theta)\n", "# • predict_sensitivity(theta, X): change in P(AE|x) from small param nudges\n", "# • a quick tornado plot for ORIG/TRIM on your current xc grid or a new X_new\n", "\n", "from scipy.special import psi # digamma\n", "\n", "def gamma_logpdf_grad(x, k, th):\n", " \"\"\"\n", " Gradients of log Gamma(k, th) pdf wrt (k, th). x>0.\n", " log f = (k-1) ln x - x/th - k ln th - ln Γ(k)\n", " d/dk = ln x - ln th - psi(k)\n", " d/dth = x/th^2 - k/th\n", " \"\"\"\n", " x = np.asarray(x, float)\n", " gk = np.log(np.clip(x, 1e-300, None)) - np.log(th) - psi(k)\n", " gth = (x / (th**2)) - (k / th)\n", " return gk, gth\n", "\n", "def betaprime_logpdf_grad(x, a, b, s):\n", " \"\"\"\n", " Gradients of log BetaPrime(a,b,scale=s) pdf wrt (a,b,s).\n", " z = x/s\n", " log f = -ln B(a,b) + (a-1) ln z - (a+b) ln(1+z) - ln s\n", " d/da = -psi(a) + psi(a+b) + ln z - ln(1+z)\n", " d/db = -psi(b) + psi(a+b) - ln(1+z)\n", " d/ds = -(a)/s + (a+b) * [ z / (s(1+z)) ]\n", " \"\"\"\n", " x = np.asarray(x, float)\n", " z = x / s\n", " lnz = np.log(np.clip(z, 1e-300, None))\n", " ln1z = np.log1p(z)\n", " da = -psi(a) + psi(a+b) + lnz - ln1z\n", " db = -psi(b) + psi(a+b) - ln1z\n", " ds = -(a)/s + (a+b) * (z / (s*(1+z)))\n", " return da, db, ds\n", "\n", "def gamma_pdf(x, k, th):\n", " x = np.asarray(x, float)\n", " out = np.zeros_like(x)\n", " m = x > 0\n", " out[m] = np.exp((k-1)*np.log(x[m]) - x[m]/th - k*np.log(th) - gammaln(k))\n", " return out\n", "\n", "def betaprime_pdf(x, a, b, s):\n", " x = np.asarray(x, float)\n", " out = np.zeros_like(x)\n", " m = x > 0\n", " z = x[m]/s\n", " out[m] = np.exp(-betaln(a,b)) * (z**(a-1)) * ((1+z)**(-(a+b))) / s\n", " return out\n", "\n", "def mixture_loglik_scores(theta, x):\n", " \"\"\"\n", " Per-x gradient of log mixture density m(x) = (1-p) f0 + p f1\n", " wrt params [p, a, b, s, k, th]. Uses responsibility-weighted scores:\n", " ∂ log m / ∂p = (f1 - f0) / m\n", " ∂ log m / ∂θ0 = ((1-p) f0 / m) * ∂ log f0 / ∂θ0 (Gamma side)\n", " ∂ log m / ∂θ1 = ( p f1 / m) * ∂ log f1 / ∂θ1 (BetaPrime side)\n", " Returns an array (len(x), 6) for params [p, a, b, s, k, th].\n", " \"\"\"\n", " p,a,b,s,k,th,_ = theta\n", " x = np.asarray(x, float)\n", "\n", " f0 = gamma_pdf(x, k, th)\n", " f1 = betaprime_pdf(x, a, b, s)\n", " m = (1-p)*f0 + p*f1\n", " m = np.clip(m, 1e-300, None)\n", "\n", " # weights (responsibilities)\n", " w0 = ((1-p)*f0) / m\n", " w1 = (p *f1) / m\n", "\n", " # component score pieces\n", " gk, gth = gamma_logpdf_grad(x, k, th)\n", " ga, gb, gs = betaprime_logpdf_grad(x, a, b, s)\n", "\n", " # assemble\n", " dp = (f1 - f0) / m\n", " da = w1 * ga\n", " db = w1 * gb\n", " ds = w1 * gs\n", " dk = w0 * gk\n", " dth = w0 * gth\n", "\n", " grads = np.vstack([dp, da, db, ds, dk, dth]).T\n", " return grads # shape (n, 6)\n", "\n", "def summarize_scores(theta, X_new, labels=(\"p\",\"a\",\"b\",\"s\",\"k\",\"theta\")):\n", " S = mixture_loglik_scores(theta, X_new) # (n,6)\n", " # Mean absolute score and RMS score per parameter (bigger => more sensitive)\n", " mean_abs = np.mean(np.abs(S), axis=0)\n", " rms = np.sqrt(np.mean(S**2, axis=0))\n", " return dict(labels=list(labels), mean_abs=mean_abs, rms=rms)\n", "\n", "def nudge_theta(theta, idx, rel_eps=0.01):\n", " \"\"\"\n", " Return a slightly perturbed theta vector:\n", " multiply theta[idx] by (1+rel_eps) if positive,\n", " else add a small absolute step to avoid sign weirdness.\n", " \"\"\"\n", " t = np.array(theta[:6], float)\n", " if idx == 0: # p in (0,1) — nudge on logit scale for safety\n", " p = t[0]\n", " logit = np.log(p/(1-p))\n", " logit2 = logit + rel_eps\n", " p2 = 1/(1+np.exp(-logit2))\n", " t[0] = np.clip(p2, 1e-6, 1-1e-6)\n", " else:\n", " step = rel_eps * max(abs(t[idx]), 1e-6)\n", " t[idx] = max(t[idx] + step, 1e-9)\n", " return t\n", "\n", "def P_with_theta_vector(theta_vec, x):\n", " \"\"\"Compute P(AE|x) given a 6-vector [p,a,b,s,k,th] (no need for thcap here).\"\"\"\n", " p,a,b,s,k,th = theta_vec\n", " L = (np.log(np.clip(p,1e-12,1)) - np.log(np.clip(1-p,1e-12,1))) + dE_full(x,a,b,s,k,th)\n", " return 1/(1+np.exp(-np.clip(L, -60, 60)))\n", "\n", "def predictive_param_sensitivity(theta, X_new, rel_eps=0.01, labels=(\"p\",\"a\",\"b\",\"s\",\"k\",\"theta\")):\n", " \"\"\"\n", " For each parameter, nudge it by +rel_eps (≈ +1%) and measure mean |Δ P(AE|x)|.\n", " Returns arrays to build a tornado chart.\n", " \"\"\"\n", " baseP = P_with(theta, X_new)\n", " base = np.array(theta[:6], float)\n", " dP = []\n", " for j in range(6):\n", " t2 = nudge_theta(theta, j, rel_eps=rel_eps)\n", " P2 = P_with_theta_vector(t2, X_new)\n", " dP.append(np.mean(np.abs(P2 - baseP)))\n", " return dict(labels=list(labels), mean_abs_dP=np.array(dP), rel_eps=rel_eps)\n", "\n", "# ---------------- Example usage (drop into your workflow) ----------------\n", "# Assume you already fit clean ORIG/TRIM:\n", "# theta_clean_ORIG = fit_clean_theta(X0, y0) (your earlier helper)\n", "# theta_clean_TRIM = fit_clean_theta(X_trim, y_trim)\n", "\n", "def quick_tornado_plot(X_new, theta, title=\"Predictive sensitivity (mean |ΔP|)\"):\n", " sens = predictive_param_sensitivity(theta, X_new, rel_eps=0.01)\n", " labs = sens[\"labels\"]; vals = sens[\"mean_abs_dP\"]\n", " order = np.argsort(vals)\n", " y = np.arange(len(labs))\n", " plt.figure(figsize=(6,3.6), dpi=140)\n", " plt.barh(y, vals[order], color=[\"#1f77b4\",\"#ff7f0e\",\"#2ca02c\",\"#d62728\",\"#9467bd\",\"#8c564b\"])\n", " plt.yticks(y, [labs[i] for i in order])\n", " plt.xlabel(\"mean |ΔP(AE|x)| for +1% param nudge\")\n", " plt.title(title)\n", " plt.grid(axis=\"x\", alpha=0.3)\n", " plt.tight_layout(); plt.show()\n", "\n", "def quick_score_table(X_new, theta, label=\"ORIG\"):\n", " sc = summarize_scores(theta, X_new)\n", " print(f\"\\n[Score sensitivity] {label}\")\n", " print(\" param mean|score| rms(score)\")\n", " for nm, m, r in zip(sc[\"labels\"], sc[\"mean_abs\"], sc[\"rms\"]):\n", " print(f\" {nm:6s} {m:12.6g} {r:12.6g}\")\n", "\n", "# ---- Run on your current data ----\n", "# Example: evaluate on your plotting grid 'xc' (or pass a hold-out X_new)\n", "# ORIG\n", "theta_clean_ORIG = fit_clean_theta(X0, y0)\n", "quick_score_table(xc, theta_clean_ORIG, \"ORIG (on grid)\")\n", "quick_tornado_plot(xc, theta_clean_ORIG, \"ORIG: mean |ΔP| from +1% param nudge\")\n", "\n", "# TRIM\n", "theta_clean_TRIM = fit_clean_theta(X_trim, y_trim)\n", "quick_score_table(xc, theta_clean_TRIM, \"TRIM (on grid)\")\n", "quick_tornado_plot(xc, theta_clean_TRIM, \"TRIM: mean |ΔP| from +1% param nudge\")\n" ] }, { "cell_type": "code", "execution_count": 35, "id": "b760a095", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# --- Build a dict-of-dicts so we can index by dataset/mode/sigma\n", "from collections import defaultdict\n", "\n", "# group results: res_map[dataset][mode][sigma] = res\n", "res_map = defaultdict(lambda: defaultdict(dict))\n", "datasets = set()\n", "modes = set()\n", "for tag, mode, sigma, res in results:\n", " res_map[tag][mode][sigma] = res\n", " datasets.add(tag); modes.add(mode)\n", "\n", "# sort for stable order\n", "datasets = [d for d in (\"ORIG\", \"TRIM\") if d in datasets] or sorted(datasets)\n", "modes = [m for m in (\"mult\",\"add\") if m in modes] or sorted(modes)\n", "sigmas = sorted(SIGMAS)\n", "\n", "# rows = (#datasets * #modes), cols = (#sigmas)\n", "n_rows = len(datasets) * len(modes)\n", "n_cols = len(sigmas)\n", "\n", "fig, axes = plt.subplots(n_rows, n_cols, figsize=(4.2*n_cols, 3.2*n_rows),\n", " dpi=140, sharex=True, sharey=True)\n", "axes = np.atleast_2d(axes)\n", "\n", "def draw_panel(ax, base_theta, res, sigma, mode):\n", " ax.plot(xc, P_with(base_theta, xc), color=\"#000000\", lw=2.4, label=\"MAP (clean)\")\n", " col = \"#1f78b4\" if mode==\"mult\" else \"#33a02c\"\n", " if res.get(\"used\", 0) > 0 and sigma > 0:\n", " lo, md, hi = res[\"lo\"], res[\"md\"], res[\"hi\"]\n", " ax.fill_between(xc, lo, hi, color=col, alpha=0.20)\n", " ax.plot(xc, md, color=col, lw=2.0, label=f\"σ={sigma:.2f} median\")\n", " # sample curves + noisy points\n", " rngp = np.random.default_rng(99)\n", " for ex in res[\"examples\"]:\n", " ax.plot(xc, ex[\"curve\"], color=col, lw=1.0, alpha=0.35)\n", " jit = (rngp.random(len(ex[\"y\"])) - 0.5) * 0.06\n", " ax.scatter(ex[\"Xn\"][ex[\"y\"]==0], (ex[\"y\"]+jit)[ex[\"y\"]==0],\n", " s=10, marker=\"x\", color=\"#777777\", alpha=0.35)\n", " ax.scatter(ex[\"Xn\"][ex[\"y\"]==1], (ex[\"y\"]+jit)[ex[\"y\"]==1],\n", " s=16, marker=\"o\", facecolor=\"#bbbbbb\", edgecolor=\"#666666\",\n", " alpha=0.35, linewidths=0.4)\n", " ax.set(xlim=(0, XMAX), ylim=(-0.05, 1.05)); ax.grid(alpha=0.25)\n", "\n", "# pick the clean baseline per dataset\n", "base_theta_map = {\"ORIG\": theta_clean_ORIG, \"TRIM\": theta_clean_TRIM}\n", "\n", "# draw\n", "for d_i, ds in enumerate(datasets):\n", " for m_i, mode in enumerate(modes):\n", " row = d_i*len(modes) + m_i\n", " for c_i, sigma in enumerate(sigmas):\n", " ax = axes[row, c_i]\n", " res = res_map[ds][mode].get(sigma, {\"used\":0})\n", " draw_panel(ax, base_theta_map[ds], res, sigma, mode)\n", " ax.set_title(f\"{ds} • {mode} σ={sigma:.2f}\")\n", "\n", "# labels + legend\n", "for r in range(n_rows):\n", " axes[r, 0].set_ylabel(\"P(AE | x)\")\n", "for c in range(n_cols):\n", " axes[-1, c].set_xlabel(\"SUV (perturbed)\")\n", "\n", "handles = [\n", " plt.Line2D([0],[0], color=\"#000\", lw=2.4, label=\"MAP clean\"),\n", " plt.Line2D([0],[0], color=\"#1f78b4\", lw=2.0, label=\"mult noise median\"),\n", " plt.Line2D([0],[0], color=\"#33a02c\", lw=2.0, label=\"add noise median\"),\n", "]\n", "fig.legend(handles=handles, loc=\"lower center\", ncol=3, frameon=False)\n", "fig.suptitle(\"Noise perturbation ensembles (dataset × mode × σ)\", y=0.98, fontsize=13)\n", "plt.tight_layout(rect=[0,0.05,1,0.95]); plt.show()\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python (pymc3)", "language": "python", "name": "pymc3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.13" } }, "nbformat": 4, "nbformat_minor": 5 }