{ "cells": [ { "cell_type": "code", "execution_count": null, "id": "850e7703", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [intercept, slope]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "570fd1615d6640639a2795169dea6d2a", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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Increase `target_accept` or reparameterize.\n" ] }, { "data": { "text/plain": [ "Text(0, 0.5, 'Frequency')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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\n" ], "text/plain": [ "\n" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Sampling 4 chains for 1_000 tune and 2_000 draw iterations (4_000 + 8_000 draws total) took 200 seconds.\n", "There were 8 divergences after tuning. Increase `target_accept` or reparameterize.\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", "import pymc as pm\n", "import arviz as az\n", "from scipy.io import loadmat\n", "\n", "\n", "# Load .mat files\n", "suv_file = \"../data/suv_percentilesSLOthenUWM.mat\"\n", "flags_file = \"../data/flags_combined.mat\"\n", "\n", "suv_data = loadmat(suv_file)\n", "flags_data = loadmat(flags_file)\n", "\n", "# Extract data\n", "suv = suv_data['lung_SUVperc_COMBINED'][0:58, :, :] # SUV shape: (58, patients, percentiles)\n", "flags = flags_data['flags'][0:58, 3] # Binary adverse effect (0 or 1)\n", "\n", "# Choose SUV percentile (94th) and reshape\n", "p = 94 # Use 94th percentile (0-indexed)\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1, 1) # Shape (58, 1)\n", "y = flags.flatten().astype(int) # Shape (58,)\n", "\n", "X_mean = X.mean()\n", "X_std = X.std()\n", "X_stdized = (X - X_mean) / X_std\n", "\n", "\n", "\n", "with pm.Model() as logistic_model:\n", " # Priors on coefficients (robust heavy-tailed)\n", " intercept = pm.StudentT(\"intercept\", mu=0, sigma=5, nu=3)\n", " slope = pm.StudentT(\"slope\", mu=0, sigma=5, nu=3)\n", "\n", "\n", " logits = intercept + slope * X_stdized.flatten()\n", "\n", "\n", " theta = pm.Deterministic(\"theta\", pm.math.sigmoid(logits))\n", "\n", "\n", " y_obs = pm.Bernoulli(\"y_obs\", p=theta, observed=y)\n", "\n", "\n", " trace = pm.sample(2000, tune=1000, target_accept=0.95, return_inferencedata=True)\n", "\n", "\n", "\n", "# Grid of x values for prediction\n", "x_grid = np.linspace(X_stdized.min(), X_stdized.max(), 200)\n", "\n", "# Extract posterior samples\n", "intercept_samples = trace.posterior['intercept'].stack(samples=(\"chain\", \"draw\")).values\n", "slope_samples = trace.posterior['slope'].stack(samples=(\"chain\", \"draw\")).values\n", "\n", "# Compute predicted probabilities\n", "logits_samples = intercept_samples[:, None] + slope_samples[:, None] * x_grid[None, :]\n", "probs_samples = 1 / (1 + np.exp(-logits_samples))\n", "\n", "# Mean and 95% credible interval\n", "mean_probs = np.mean(probs_samples, axis=0)\n", "lower = np.percentile(probs_samples, 2.5, axis=0)\n", "upper = np.percentile(probs_samples, 97.5, axis=0)\n", "\n", "\n", "x_plot = x_grid * X_std + X_mean\n", "\n", "# Plot\n", "plt.figure(figsize=(8, 5))\n", "plt.plot(x_plot, mean_probs, label='Mean prediction (sigmoid)', color='blue')\n", "plt.fill_between(x_plot, lower, upper, color='blue', alpha=0.3, label='95% CI')\n", "plt.scatter(X, y, color='red', alpha=0.6, label='Observed data')\n", "plt.xlabel(\"Max SUV at 94th Percentile\")\n", "plt.ylabel(\"Probability of Adverse Effect\")\n", "plt.title(\"Bayesian Logistic Regression\\n(Sigmoid Curve with 95% Credible Interval)\")\n", "plt.legend()\n", "plt.grid(True)\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "112beb58", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.hist(X_NC, bins=20, density=True, alpha=0.5, label=\"NC histogram\")\n", "plt.hist(X_AE, bins=20, density=True, alpha=0.5, label=\"AE histogram\")\n", "plt.plot(xs, f_XatNC_opt(xs, popt_NC), label=\"NC fit\", color='blue')\n", "plt.plot(xs, f_XatAE_opt(xs, popt_AE), label=\"AE fit\", color='red')\n", "plt.legend()\n", "plt.title(\"Fit of Custom Distribution to NC and AE Groups\")\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "a1f40976", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NC params: [ 0.24241006 0.18097191 -0.16096395]\n", "AE params: [ 0.39013584 0.04654894 -2.02453446]\n" ] }, { "data": { "image/png": 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tZZYfO3YMQ4cORa1atRz/G+w1COV936787AwdOhTA5efpCT/++COioqJw5513Oi23v4ZXvmau/A9wlTe/I1f7XB46dAhHjx7F6NGjER4eXm58BoMB69evx5AhQxAZGem03/79+8NgMFS52191vjeu/i7Ylfd5DAsLw7Bhw7B8+XLk5eUBAKxWKxYuXIjbb78diYmJjnV37dqF2267DYmJiY7P7fDhw2G1WnHo0KEqPX8igDUWFOJatGiBjh07omPHjrj11lvxwQcfoE+fPnj22Wcd/bx/++039OnTBwDw4Ycf4pdffsH27dvx4osvAgBKSkoc27v99ttRv359Rz/aBQsWoKioCOPGjXOsc/78eQghkJKSAq1W63TZtm2b46AnLi4OGzduRPv27fHCCy+gVatWSE1NxZQpUyrtB7t8+XLcfffdqFOnDj777DNs3boV27dvx4MPPgiDwVBm/dI/NnZ6vd7xvE6cOFEmTncPigH5o//rr7+iX79+aN26tdN958+fBwDceeedZfb1xhtvQAiBixcvXnUfCQkJTn/rdLpKl9tfj5ycHISFhZUpclapVKhVqxZycnIc6wGyP3tpYWFhZV7H8+fP49tvvy3zfOy1Nu4e3IaHh6Nr166OxGL9+vXo3bs3unfvDqvVip9//hlr164FgGonFlc+F71eD8D5s16Zhg0bOr5XvXr1wowZMzBmzBi8/fbb+PPPPwG4/5qXHtXKLjU11XF/ZR544AF89NFHOHnyJO644w4kJyfj+uuvd7xerihv/4WFhejWrRt+/fVXTJ8+HRs2bMD27duxfPlyAGVfr/I+J/bPUmXPo169egCA48ePuxRrTk4OatWqVab2ITk5GWFhYWX2dbX/Ae7w5nfkap/LCxcuAEClxeQ5OTmwWCx49913y+y3f//+5e7XVdX53rj6u2BX3ucRgOP//JIlSwAAq1evRkZGBkaNGuVY59SpU+jWrRvOnj2Lf//73/j555+xfft2x+9WVd53IjuOCkV0hbZt22L16tU4dOgQOnXqhCVLlkCr1eK7775zOgu2YsWKMo9Vq9UYN24cXnjhBbz99tuYPXs2evbsiWbNmjnWSUpKgkqlws8//+z44Smt9LI2bdpgyZIlEELgjz/+wIIFCzBt2jRERETg+eefLzf+zz77DA0aNMDSpUudDiyuLNp0VWpqqlNxMACn5+Oqzp0746677sLo0aMByGJatVqe20hKSgIAvPvuu06jCZWWkpLi9j5dlZiYCIvFggsXLjgd6AohkJmZieuuu86xHiALTuvUqeNYz2KxlDlYS0pKQtu2bfHaa6+Vu8/U1FS34+zZsydefvll/Pbbbzhz5gx69+6NmJgYXHfddVi7di3OnTuHpk2bIi0tze1te1vbtm0dn+PmzZu7/ZpnZGSUOWA8d+6c47NzNaNGjcKoUaNQVFSETZs2YcqUKRg4cCAOHTqE9PT0qz6+vAL3H3/8EefOncOGDRucRkq6svjczv45KX0AmpmZCaD8g3u7jh07IiEhAV9//TVmzJhx1cEREhMT8euvv0II4bRuVlYWLBaLy69ZVSj5HbF/jkoX9V8pPj4eGo0GDzzwgNMJn9IaNGjg1n49wZ3fBaD8zyMAtGzZEp06dcLHH3+MRx55BB9//DFSU1MdJ8cA+dtVVFSE5cuXO332d+/e7ZknQyGNLRZEV7D/c7X/SKlUKoSFhTk1cZeUlGDhwoXlPn7MmDHQ6XS4//778ddff2H8+PFO9w8cOBBCCJw9e9ZxVrf0pU2bNmW2qVKp0K5dO7zzzjuoUaMGfv/99wrjV6lU0Ol0Tj88mZmZ5Y4K5QqdTlcmxtLdJtwxYsQILFmyBB9//LGj2R2Q3Xxq1KiBAwcOlPuadOzY0dHK4A32blmfffaZ0/L//e9/KCoqctxvHwln0aJFTut98cUXZUZ6GjhwIPbt24dGjRqV+3yqklj06tULFosFL730EurWrYvmzZs7lq9bt87RZe9qqno2ujrs36vk5GQArr/m9u4eV663fft2HDx40KlLnSvPKyoqCv369cOLL74Ik8mE/fv3Ox4LuHe21v4du/Kg74MPPqjwMVd+dj7//HMAlz9b5dFqtXjuuefw559/4tVXXy13naysLEcXzJ49e6KwsLDMyY9PP/3Ucb+3KPkdadq0KRo1aoSPPvqowhMpkZGR6NGjB3bt2oW2bduWu9/KkrzqquhzVpXfhYqMGjUKv/76KzZv3oxvv/0WI0aMcPr9Ku9zK4TAhx9+WJ2nRgSALRYU4vbt2+f4scvJycHy5cuxdu1aDBkyxHHWasCAAZg5cyaGDh2Khx9+GDk5OXjrrbfKPasEADVq1MDw4cMxZ84cpKenl5kPo2vXrnj44YcxatQo7NixAzfddBOioqKQkZGBzZs3o02bNnjsscfw3XffYfbs2Rg8eDAaNmwIIQSWL1+O3Nxc9O7du8LnNHDgQCxfvhxjx47FnXfeidOnT+PVV19F7dq1cfjwYQ+9clV35513IjIyEnfeeSdKSkqwePFiREdH491338WIESNw8eJF3HnnnUhOTsaFCxewZ88eXLhwAXPmzPFaTL1790bfvn3x3HPPIT8/H127dsUff/yBKVOm4JprrsEDDzwAQHadGzZsGGbNmgWtVotevXph3759eOuttxAbG+u0zWnTpmHt2rXo0qULJkyYgGbNmsFgMODEiRNYuXIl5s6d6/b4/x06dEB8fDzWrFnj1LWhV69ejgNOVxKLNm3aYPny5ZgzZw46dOgAtVrtNJ9LdR0+fNjRTz0vLw/r1q3D/Pnz0bFjR3Tr1g2A6695s2bN8PDDD+Pdd9+FWq1Gv379cOLECbz00ktIS0vDk08+edXn9dBDDyEiIgJdu3ZF7dq1kZmZiRkzZiAuLs7RMmLvnjdv3jzExMQgPDwcDRo0qPQgs0uXLoiPj8ejjz6KKVOmQKvVYtGiRdizZ0+56+t0Orz99tsoLCzEddddhy1btmD69Ono16+f01Cx5XnmmWdw8OBBTJkyBb/99huGDh2KtLQ05OXlYdOmTZg3bx6mTp2Krl27Yvjw4Xj//fcxYsQInDhxAm3atMHmzZvx+uuvo3///tXuKlcZpb8j77//PgYNGoQbbrgBTz75JOrVq4dTp05h9erVjmTn3//+N2688UZ069YNjz32GOrXr4+CggIcOXIE3377raP+xxvsCcIbb7yBfv36QaPRoG3bti7/Lrjivvvuw6RJk3DffffBaDSWqU/q3bs3dDod7rvvPjz77LMwGAyYM2cOLl265OmnS6FIkZJxIoWVNypUXFycaN++vZg5c6bTUJdCCPHRRx+JZs2aCb1eLxo2bChmzJgh5s+fX2a0HbsNGzYIAOKf//xnhTF89NFH4vrrrxdRUVEiIiJCNGrUSAwfPlzs2LFDCCHEn3/+Ke677z7RqFEjERERIeLi4kSnTp3EggULnLZT3qhQ//znP0X9+vWFXq8XLVq0EB9++GG5ozUBEOPGjSsT29VGmrKrynCzpR8bHR0tbr31VlFcXCyEEGLjxo1iwIABIiEhQWi1WlGnTh0xYMCAMiPRVBTHlevZ3+ft27c7LbfHaB+qVAg5ROdzzz0n0tPThVarFbVr1xaPPfaYuHTpktNjjUajeOqpp0RycrIIDw8XN9xwg9i6dWu5r9mFCxfEhAkTRIMGDYRWqxUJCQmiQ4cO4sUXXxSFhYWO9eDCqFB2Q4YMEQDEokWLHMtMJpOIiooSarW6TLzljQp18eJFceedd4oaNWoIlUrleL/so9v861//KrNfV2Isb1SoqKgo0bJlSzFlypQyo/C4+ppbrVbxxhtviKZNmwqtViuSkpLEsGHDxOnTp53Wq+h5ffLJJ6JHjx4iJSVF6HQ6kZqaKu6++27xxx9/OD1+1qxZokGDBkKj0QgAjuGQb775ZtGqVatyn/OWLVtE586dRWRkpKhZs6YYM2aM+P33350eL4QcXScqKkr88ccfonv37iIiIkIkJCSIxx57zOmzcDVff/21GDBggKhZs6YICwsT8fHxokePHmLu3LnCaDQ61svJyRGPPvqoqF27tggLCxPp6eli8uTJZf63ufo/wNVRoYTw/HfE3c/l1q1bRb9+/URcXJzQ6/WiUaNGZUapOn78uHjwwQdFnTp1hFarFTVr1hRdunQR06dPL7OP8l6b8kaFciU+o9EoxowZI2rWrOn4jJb+bl7td0GIyj+PdkOHDhUARNeuXcu9/9tvvxXt2rUT4eHhok6dOuKZZ54RP/zwQ5n/5xwVitylEqIKw7sQUaWeeuopzJkzB6dPn/ZqszoRBYaRI0fiyy+/LDMxIxFRMGFXKCIP2rZtGw4dOoTZs2fjkUceYVJBREREIYOJBZEHde7cGZGRkRg4cCCmT5+udDhEREREPsOuUEREREREVG0cbpaIiIiIiKqNiQUREREREVUbEwsiIiIiIqq2kCvettlsOHfuHGJiYpxmJiYiIiIiImdCCBQUFCA1NRVqdeVtEiGXWJw7dw5paWlKh0FEREREFDBOnz6NunXrVrpOyCUWMTExAOSLExsbq3A0RERERET+Kz8/H2lpaY5j6MqEXGJh7/4UGxvLxIKIiIiIyAWulBCweJuIiIiIiKqNiQUREREREVUbEwsiIiIiIqo2JhZERERERFRtTCyIiIiIiKjamFgQEREREVG1MbEgIiIiIqJqY2JBRERERETVxsSCiIiIiIiqjYkFERERERFVGxMLIiIiIiKqNkUTi02bNmHQoEFITU2FSqXCihUrrvqYjRs3okOHDggPD0fDhg0xd+5c7wdKRP7JZgMunQTO75fXNpvSEVWf/Tll7AVObgEy91btuQXja0MUqvh9pgARpuTOi4qK0K5dO4waNQp33HHHVdc/fvw4+vfvj4ceegifffYZfvnlF4wdOxY1a9Z06fFEFEQu/AUc/BbIPgxYDEBYOJDUBGgxCKjZTOnoqsb+nM7sAC6dAMzFgDYSiK8P1O3o+nMLxteGKFTx+0wBRCWEEEoHAQAqlQpfffUVBg8eXOE6zz33HL755hscPHjQsezRRx/Fnj17sHXrVpf2k5+fj7i4OOTl5SE2Nra6YROREi78BWybCxTnAHF1AG0UYC4C8s4CkYnADY8G3g+u/TnlngAKMgGrBdCGA2YDoNEC0SkywbjacwvG14YoVPH7TH7AnWNnRVss3LV161b06dPHaVnfvn0xf/58mM1maLVahSIjIp+x2eTZu+IcoGZzQKWSy/WxQM0Y4MKfwJ/fAYlNAHWAlJE5nlM2YDEDNisQVRNQAdBFy+dqswBF2ZU/t2B8bch/CSE/czYbYLVevl3ZMiEuX+zb8Pbt6jzO10rv12YD9iwGco4CNdKBC7kAcv9eLxLI/RM48x7Q9t7qf5/94fmG0r6rokkTICVF6SiuKqASi8zMTKRc8aKmpKTAYrEgOzsbtWvXLvMYo9EIo9Ho+Ds/P9/rcbokIwMwm5WOwv+oVPIfpFoNREUBMTGXD46IACDvtOwSEFen7GdDpQJi6wAXDsn14tOrty8hAIMBKC6W39crD448Je8McHAXoNYA5zNkVwdDyeX7LVog9xyQEg8c+B2osQ2Iq1vxdiLigKy8svcboyt/PCnPaASKioDCQvm5MxrlZ9BgcO22yQRYLM4Xs7niv81mmQDYl1mtzgmBEJf/ticS9r/JT7yndADkCx98ADz8sNJRXFVAJRaA7DJVmr0n15XL7WbMmIGpU6d6PS63lJQA69YBWVlKR+Jf7O+h/cxLRARQowZQpw7QoIG8JjIVyn7G2qjy79dFAgXn5HpVYbMBZ88Cf/4pv6MlJfLArfTB1ZVJRXWTjIJM4OhfsuvTpSz53Er/SxNC1lvER8iuURlfATG1Kt5OVBKgKucMprDJVo+KHk/VJ4Q8uC8qkolBUVHZS0mJc0JQ+tpqVfoZeJ5Kdfn/+5XXFd2+2v3e2MbV7vOGyvZhswDmEnnCocJ1rIA2AlArfDgXTCcA/fG5qFTyf0QACKjEolatWsjMzHRalpWVhbCwMCQmJpb7mMmTJ2PSpEmOv/Pz85GWlubVOK/Kfha0Vi2AdR6XlW4iF0L+KOfmAqdPA0ePAoMGAQkJSkdJStNFyzP65iLZxedKpmJ5vy7ave0KIT9re/fKz5vVKlvM9Hr5PQ0Lk0lv6YMkwDM/QoU1AONeeQChjwI0ekBT6t+z1QJYVUBCHGCLBpo1B6KTK96OPloWfV/JXAwYUfHjqXJms0w2s7OBnJyyl9xcID9fJhbVFR4uP3t6PaDVAjrd5dvlLbPfDguTF41GXuy37Z/f0n+Xvi69jkbj/Fm3tyLbb9uXazRXX8d+m9xXmAX8sewq3+dCoO1d/D4Hu0OHgN69lY7CJQGVWHTu3Bnffvut07I1a9agY8eOFdZX6PV66PV6X4RH1XXlAVtsrLwIARw+DPzyC9C3r/wBpdAVlyZHRMn4Q9YNlP7MCAHknwVS28n13HHsGLB6tTxrnJoKRJbzQ+4tkUlAbCpw6TigiwEMeYA6RrZaCMizlhE1ZNKU2ECuf7XtxEaUfW2Kc4CESh5PsjvQ2bPAmTNAZqbstpqRIW9nZ7veOqXVXv4fZr/ExMjr6GjZ1TMi4vIlMvLydXi4PGin0MbvMwUgRROLwsJCHDlyxPH38ePHsXv3biQkJKBevXqYPHkyzp49i08//RSAHAHqvffew6RJk/DQQw9h69atmD9/PhYvXqzUUyBfUKmA+vVl15SaNYEbblA6IlKSWi2HWcw7K4uRY+vI7k+mYplURCUCzQe6V8xoNgO7dslWisaNvRd7RdRqIO06eaBgKZF/G/IAjQ6wmmTrhUoNRMQCda+r+LmV3k7+GTlqTJgesBjlsvCrPD6UCCEThRMngJMn5eXECZlUWCwVP06vl/+HEhPLXhISLicR4eE8U0/Vw+8zBSBFE4sdO3agR48ejr/tXZZGjBiBBQsWICMjA6dOnXLc36BBA6xcuRJPPvkk3n//faSmpuI///kP57AIBTqd7Dq2fTuQnAw0bKh0RKSkms3kMIv2sd0LzsnuT6ntZFLh7vCLR47Ig0olP1dxdYFmtwKntwM5h2U3CHMxoNXLEaKSmsiDiKsVXZfeTv45oOQioNbJM5uuPD5Ymc2yi9tffwEHD8oTFRcvlr9uRASQlgbUri0vtWrJS+3asu6LCQP5Cr/PFGD8Zh4LX/GLeSyKi4FFi2STN2ss3HPqFBAfD9x9t+wPTKHNZpOjP5kKZU1FXJr7Z+9KSoDly2Xf+Lp+8CNts8lhZ03FsvVCGyH7V0cmuffc7NuxT6jl7uMDndUqk4gdO4D9+2XyeOVIfGq1fM/T0+Wlfn15qVmTyQP5l1D/Poe6Q4eA/v2BFi0U2X3QzmNBhIQEIC9PjqwSF6d0NKQ0tbr6Q8r++Sdw7pwcI9wfqNWeKcT01HYCyaVLwO+/Azt3yq5tRUXO98fGAs2bX740aSK7NhH5u1D8PlNAYmJBgSU8HDh/Xo7xzsSCqqugANizR3ZvYbFsYMrMBDZvBrZska0SpcXEANdeC7RvL8/01a7NlggiIi9iYkGBJSxMdnG48kwkUVUcOyaHD23mZk0GKaugANi4EdiwQXYRKK1xY6BDB3lp0oQJIxGRDzGxoMDExII84cIF2QrGvsr+Twhg3z5gzRrZOmGvl1CrgTZtgBtvBDp1kjVYRESkCCYWFHjCwmRfaqLqEEImFhERSkdClTGZZOvEt9/KkbvsGjQAevWSCQWTCSIiv8DEggJPeLic5ZaoOoqLZcsXEwv/VFwMrFwJfP21HLABkIXWPXoAffoAjRqxXoKIyM8wsaDAEx4u+1ibTJyFm6quoEAevPJst38pLpatE998I98jQA7/OnAg0Lu3nLWaiIj8EhMLCjzh4XJiq8JCOfwsUVUUFMh++kxO/YPFAqxeDSxeLOcUAYA6deScNTfdxCJsIqIAwMSCAo9eLyc1KypiYkFVV1Ag6yxIeb/+CixYAJw9K/+uUwe47z6ga1cmFEREAYSJBQUejUYeEHJkKKqOCxfYWqG0rCxg3jzgt9/k33FxMqHo00cO0kBERAGF/7kpcBUWKh0BBSqbDcjOBiIjlY4kNFmtsobi888Bo1EmEbffDtx1F98TIqIAxsSCApNWK+ssiKqiqEheoqKUjiT0ZGYCM2cCf/4p/27ZEhg7FqhXT9m4iIio2phYUGCKiJBDzgrBISfJffYRoZKSlI4kdAgBrF0LzJ8va6QiIoDRo+VcFJygkIgoKDCxoMCk18szzgYD5yEg9xUUyO44Wq3SkYSGkhLg3XeBzZvl3y1bAk8+CaSkKBsXERF5FBMLCkwREfLgkBOcUVXYhzMl7ztzBpgxAzh9Wg68MGwYMHgwR3siIgpCTCwoMOl0suizsJDdWch9WVlyPhTyrq1bgVmzZItFQgLw7LOytYKIiIISEwsKTGo1h5ylqrFaZeE/W7q8RwhgxQo5N4UQQOvWwDPPcJZzIqIgx8SCApdKxSFnyX2FhbJwOzZW6UiCk9UKfPghsHKl/Lt/f+Chh9j1iYgoBDCxoMCl18u5CIjcYR8RioXDnmc0Av/6l5zwTqUCHnwQuO02jtxGRBQimFhQ4NLrZZcWm43DVZLrCgrkZ4Zn0D3LYABeew3Ys0fWQE2aBHTponRURETkQ0wsKHBFRMgzzyUlnOiMXJeXxzPonlZcDEybBhw4IL+XL70k6yqIiCik8DQvBS69Xp4lZZ0FuePCBfnZIc8oKgKmTJFJRWQkMHUqkwoiohDFFgsKXGFhgMUiL0SuKiiQXXWo+oxGYPp04K+/gOhomVQ0aaJ0VEREpBAmFhS41GrZV95qVToSChQWC2AyccZtT7BYZKH2/v2ypeLVV4FGjZSOioiIFMSuUBS47P3kmViQq4xGwGxmYlFdNhvw7rty9CedDvjHP5hUEBEREwsKAkwsyFUmkzzTHsbG2mr55BPgp59kq+Gzz7KmgoiIADCxoGDAxIJcZTKxxaK61q0DvvpK3p4wAejUSdl4iIjIbzCxoMDHxIJcZTTKFgvOYVE1Bw4As2fL2/fcA9xyi7LxEBGRX2FiQYGPiQW5ymQChOCEilVx/jzw+usyMevSBbjvPqUjIiIiP8NfVwp8TCzIVUaj0hEEJqNRzqqdnw80bAhMnMjkjIiIyuAvAwU+m03pCChQmExKRxCYPvwQOHECiIuTI0CFhysdERER+SEmFhT42GJBrjIYLg9TTK7ZsAFYs0a+bk8/DSQlKR0RERH5KSYWFNjUap6FJtcVFXGoWXecOeNcrN2unbLxEBGRX2NiQYFNrZbFpESuKCriULOuMhqBN96QrTxt2sjEgoiIqBJMLCiwqVRyXgIiV7DFwnWLFgEnT8q6iqee4hC9RER0VUwsKLBpNOwKRa6xWORnhS0WV3fgAPD11/L2hAlAQoKy8RARUUBgYkGBTa1miwW5xj7rNlssKmcwALNmyfk+evYErrtO6YiIiChAMLGgwMbEglxln3WbLRaVW7AAyMyUoz+NGaN0NEREFECYWFBgY2JBrmKLxdX98QewcqW8/fjjQFSUsvEQEVFAYWJBgY2jQpGrTCb5WWFiUT6zGZgzR96+9VbgmmuUjYeIiAIOEwsKbGq1nCCPs2/T1RiNsm5AzX975frf/4CzZ4H4eGDECKWjISKiAMRfWApsarVMKjj7Nl0NRw+rWEYGsGyZvD16NLtAERFRlTCxoMCmVsuz0Ews6GqMRqUj8E9CAB98ILtCtWsHdOumdERERBSgmFhQYGOLBbnKaJQTKpKzLVuA33+XtSePPsrXiIiIqoyJBQU2JhbkqsJCFm5fyWgE5s+Xt++4A6hTR9l4iIgooDGxoMDGxIJcVVTEOSyu9O23QHa2nLPizjuVjoaIiAIcEwsKbPbEgqNC0dUUF7PForS8vMsF2w88AOj1ysZDREQBj4kFBTb7cLNssaDKWK2y2w9bLC5bvBgoKQEaNQJuvlnpaIiIKAgwsaDAxq5Q5AqjkZPjlXbmDLBqlbw9ahTn9iAiIo/grwkFNiYW5AqTSQ6nyhYLacEC+b3p1Alo21bpaIiIKEgwsaDAxsSCXGE0ysSCLRbAwYPAb7/J7w5n2CYiIg9iYkGBT6ViYkGVM5nYFcru88/ldc+eQFqasrEQEVFQYWJBwYGJBVXGZJIzTId6LcH+/cCePYBGA9x9t9LREBFRkAnxX1kKGkwsqDJGo9IR+Ad7a0WvXkBKirKxEBFR0GFiQcGBiQVVxmRSOgLl7dsH7N0ru4OxtYKIiLyAiQUFByYWVBmDQdbihCohgEWL5O3evYGaNZWNh4iIghITCwoOnHmbKlNUFNqF23v3yvqKsDDgrruUjoaIiIIUEwsKDmyxoMoUFob2HBb/+5+87tMHSEpSNhYiIgpaTCwo8KlUcihRoooUF4dui8WxY8CuXXJErMGDlY6GiIiCGBMLCnwqlZz8jKg8VqscFSpUWyy++kped+0K1KqlbCxERBTUmFhQ4FOrmVhQxUJ5crzz54Gff5a3/+//lI2FiIiCHhMLCnxMLKgyRqP8fIRiYvH113Jgg/btgUaNlI6GiIiCHBMLCnxMLKgy9haLUOsKlZ8PrFkjb7O1goiIfEDxxGL27Nlo0KABwsPD0aFDB/xsb7avwKJFi9CuXTtERkaidu3aGDVqFHJycnwULfklJhZUGZMpNFssVq6Uz71hQ6BdO6WjISKiEKBoYrF06VJMnDgRL774Inbt2oVu3bqhX79+OHXqVLnrb968GcOHD8fo0aOxf/9+LFu2DNu3b8eYMWN8HDn5FSYWVBmTSU4Qp1b8PIrvmM3ADz/I20OGhPbkgERE5DOK/tLOnDkTo0ePxpgxY9CiRQvMmjULaWlpmDNnTrnrb9u2DfXr18eECRPQoEED3HjjjXjkkUewY8cOH0dOfkWt5nCzVDGjUekIfG/rVuDSJSAhAejSReloiIgoRCiWWJhMJuzcuRN9+vRxWt6nTx9s2bKl3Md06dIFZ86cwcqVKyGEwPnz5/Hll19iwIABvgiZ/JVGI8/QCqF0JOSPTCalI/C9776T1337hl5tCRERKUaxxCI7OxtWqxUpKSlOy1NSUpCZmVnuY7p06YJFixbhnnvugU6nQ61atVCjRg28++67Fe7HaDQiPz/f6UJBRq2WI9/YbEpHQv4o1BKLo0eBP/+UCXffvkpHQ0REIUTxTseqK/r+CiHKLLM7cOAAJkyYgJdffhk7d+7EqlWrcPz4cTz66KMVbn/GjBmIi4tzXNLS0jwaP/kBlUomFVar0pGQPwq1Wbe//15ed+0qu0IRERH5iGKJRVJSEjQaTZnWiaysrDKtGHYzZsxA165d8cwzz6Bt27bo27cvZs+ejY8++ggZGRnlPmby5MnIy8tzXE6fPu3x50IKs7dYMLGg8hQWhk5ikZ8PbNokb7OLKBER+ZhiiYVOp0OHDh2wdu1ap+Vr165FlwqKDYuLi6G+YmQXjUYDQLZ0lEev1yM2NtbpQkGGXaGoMqHUYrFu3eUhZps3VzoaIiIKMYp2hZo0aRL++9//4qOPPsLBgwfx5JNP4tSpU46uTZMnT8bw4cMd6w8aNAjLly/HnDlzcOzYMfzyyy+YMGECOnXqhNTUVKWeBimNLRZUEZsNKCkJjQJmm03OXQHI1goOMUtERD6m6Gm8e+65Bzk5OZg2bRoyMjLQunVrrFy5Eunp6QCAjIwMpzktRo4ciYKCArz33nt46qmnUKNGDdxyyy144403lHoK5A+YWFBFzGY5FHEotFjs2QNkZQFRUcBNNykdDRERhSDFf23Hjh2LsWPHlnvfggULyix7/PHH8fjjj3s5KgooGg0TCyqffdbtiAilI/G+devk9c03A3q9srEQEVFIUnxUKKJqY4sFVcRoDI0Wi/x8OSkeAPTurWwsREQUsphYUODjcLNUEXuLRbAnFhs2yASqUSN5ISIiUgATCwp8bLGgiphM8rMRzImFEIB9dD22VhARkYKYWFDgU6vlwRUTC7qSySQ/G8Hs8GHg5ElAp2PRNhERKYqJBQUPJhZ0JaNR6Qi8b80aed21KxAdrWwsREQU0phYUPDgBHl0JZNJ6Qi8q6QE+PlneZvdoIiISGFMLCh4sMWCrlRSIrvKBatt2+RzrF0baNVK6WiIiCjEuf2L27BhQ+Tk5JRZnpubi4YNG3okKKIqYWJBVyouDu7C7Q0b5HWPHpxpm4iIFOd2YnHixAlYyzmAMxqNOHv2rEeCIqoSJhZ0peJiQKtVOgrvuHRJzrYNyEnxiIiIFObyqbxvvvnGcXv16tWIi4tz/G21WrF+/XrUr1/fo8ERuYWJBV2pqCh4Wyw2bZJ1Rc2by65QRERECnP5F3fw4MEAAJVKhREjRjjdp9VqUb9+fbz99tseDY7ILUwsqDSzWRZvB2tisXGjvO7eXdEwiIiI7Fz+xbX9PeJOgwYNsH37diQlJXktKCK3qVRy5mEiO5NJfiYiI5WOxPNOnwaOHAE0GuDGG5WOhoiICIAbiYXd8ePHvREHUfWo1cE/tCi5x55YBGOLhb214tprgdhYZWMhIiL6m9vF2xMmTMB//vOfMsvfe+89TJw40RMxEblPrZZdX4jsjEb5mQi24m2b7fJoUOwGRUREfsTtxOJ///sfunbtWmZ5ly5d8OWXX3okKCK3MbGgK9lbLDQapSPxrD//BLKygIgIoFMnpaMhIiJycDuxyMnJcRoRyi42NhbZ2dkeCYrIbWo1ayzImckECBF8E+Rt2iSvO3cG9HplYyEiIirF7V/cxo0bY9WqVWWW//DDD5wgj5TDxIKuFIw1N1YrsGWLvN2tm7KxEBERXcHtqsZJkyZh/PjxuHDhAm655RYAwPr16/H2229j1qxZno6PyDXsCkVXCsbE4uBBIDcXiI4G2rVTOhoiIiInbicWDz74IIxGI1577TW8+uqrAID69etjzpw5GD58uMcDJHKJSsXEgpwZDPJzEUw2b5bX118fnKNdERFRQKvSL9Njjz2Gxx57DBcuXEBERASio6M9HReRezQa2RVKiOA7mKSqCbZZt0t3g+LcFURE5IeqVNVosViwbt06LF++HEIIAMC5c+dQWFjo0eCIXKZWy2E4Ofs22RUXB1diYe8GFRUFtG2rdDRERERluP2re/LkSdx66604deoUjEYjevfujZiYGLz55pswGAyYO3euN+Ikqpy9eNtqDa6DSaq64uLgmsPC3g3qhhuC63kREVHQcLvF4oknnkDHjh1x6dIlREREOJYPGTIE69ev92hwRC6zt1jYbEpHQv7AZpM1FsGSZFqtwNat8nY58wgRERH5A7d/dTdv3oxffvkFOp3OaXl6ejrOnj3rscCI3KJWy4MvdoUi4PKs28Eyz8PBg8ClS7IbFEeDIiIiP+V2i4XNZoO1nIO3M2fOICYmxiNBEbmNNRZUmn3W7WBpsfjlF3l9/fXsBkVERH7L7cSid+/eTvNVqFQqFBYWYsqUKejfv78nYyNynVotR4RiYkHA5cQiGA7CbTZg2zZ5m92giIjIj7l9Ou+dd95Bjx490LJlSxgMBgwdOhSHDx9GUlISFi9e7I0Yia6OLRZUWjC1WBw9CuTkABER7AZFRER+ze1f3dTUVOzevRtLlizBzp07YbPZMHr0aNx///1OxdxEPsXEgkozGuXnQaNROpLq+/VXeX3NNcAVtW1ERET+xKXE4tprr8X69esRHx+PadOm4emnn8aoUaMwatQob8dH5BomFlSa2Sy7xgUDe2Jx/fXKxkFERHQVLtVYHDx4EEVFRQCAqVOnciI88j9MLKg0i0XpCDwjIwM4eVJ+vq+7TuloiIiIKuVSi0X79u0xatQo3HjjjRBC4K233kJ0dHS567788sseDZDIJSoVi7fpMrNZ6Qg8w95a0bo1UMH/XCIiIn/hUmKxYMECTJkyBd999x1UKhV++OEHhJVTFKlSqZhYkLI4QR4BwZdYsBsUEREFAJcSi2bNmmHJkiUAALVajfXr1yM5OdmrgRFVCVssCABKSgK/cDs/X06MBzCxICKigOBSjcW1116LS5cuAQCmTJlSYTcoIsUxsSBADjerdnuaHv+yfbtsgWvQAOCJHCIiCgBuF29PmzaNxdvkv5hYECBbLAJ9Dgt2gyIiogDD4m0KLkwsCAAMhsDuCmU0Ar//Lm8zsSAiogDB4m0KLizeJkAemAdyi8W+fbI7V1IS0LCh0tEQERG5hMXbFFzYYkEWi7wEcovFjh3yumNHOZQyERFRAHD7lJ6NZ4TJn/HzSfbEQq9XOpKqEeJyYtGhg7KxEBERucHlYVPGjh3rVLS9cOFCp79zc3PRv39/z0ZH5A6VKnhmXKaqM5tly1WgdoU6exY4f17G37at0tEQERG5zOXE4oMPPkBxcbHj73HjxiErK8vxt9FoxOrVqz0bHZE71GomFnQ5sQjU4WbtrRVt2gAREcrGQkRE5AaXf3mFEJX+TaQ4tTp4ZlymqjObZYIZqC0W7AZFREQBKkBP6RGVQ6Vi8TbJpMJmC8zi7eJi4MABebtjR2VjISIichMTCwoe7ApFwOWuUIGYWOzZIz/DtWsDqalKR0NEROQWt/oKvPzyy4iMjAQAmEwmvPbaa4iLiwMAp/oLIkWo1WyxoMDuDrdzp7xmawUREQUglxOLm266CX/99Zfj7y5duuDYsWNl1iFSjEoV2AeV5BmB2mpVephZJhZERBSAXE4sNmzY4MUwiDyANRYEBG5yefw4cPGinH+jVSuloyEiInIbaywoeLDGgoDATSx+/11et20L6HTKxkJERFQFTCwoeLDGggDAZJKtV4Fm1y55fc01ysZBRERURUwsKHjYu0JxjpXQZjAE3ohQBgNw8KC8zcSCiIgCFBMLCh5qtUwq2GoR2kpKAm9yvP37ZTe+5GQOM0tERAGLiQUFD7VaToxmsykdCSnJZAq8Fgt7N6j27QOzGxcRERGqmFj8/PPPGDZsGDp37oyzZ88CABYuXIjNmzd7NDgit6hUssWCiUVoKykJ3MSC3aCIiCiAuZ1Y/O9//0Pfvn0RERGBXbt2wWg0AgAKCgrw+uuvezxAIpexxYJstsBrscjOBk6flp/ftm2VjoaIiKjK3E4spk+fjrlz5+LDDz+EVqt1LO/SpQt+tw+XSKQElUoeWLLGInRZLPL9D6Qai9275XXjxkBMjKKhEBERVYfbicVff/1V7gzbsbGxyM3N9URMRFXDrlBkNsvEIpBaLNgNioiIgoTbiUXt2rVx5MiRMss3b96Mhg0beiQooiqxjwrFxCJ0mc2y1SJQEgub7XKLBRMLIiIKcG4nFo888gieeOIJ/Prrr1CpVDh37hwWLVqEp59+GmPHjvVGjESuYY0FBVpXqGPHgIICICICaNpU6WiIiIiqxe1f32effRZ5eXno0aMHDAYDbrrpJuj1ejz99NMYP368N2Ikcg1rLCjQukLZWyvatg2cZIiIiKgCVfole+211/Diiy/iwIEDsNlsaNmyJaKjoz0dG5F72BWKAjWxaN9eySiIiIg8osqnyCIjI9GxY0fk5+dj3bp1aNasGVq0aOHJ2Ijcw65QZLHI5DIQJpkzmYCDB+Xtdu1cfphVpYJZrQ6M50iXCQGNEAiz2cB3joiClduJxd13342bbroJ48ePR0lJCa677jocP34cQggsWbIEd9xxhzfiJLo6e1coJhahy2xWOgLX/fmnjDchAahTx6WHFGq1OJOQABEoLTLkTAhElpSgdn4+dPw/RURByO3EYtOmTXjxxRcBAF999RVsNhtyc3PxySefYPr06UwsSDnsCkWBlFj88Ye8btPGpdYHq0qFMwkJiIyPR83YWKjYYhFQBACTxYILly7huE6HJllZ7o+eQkTk59xOLPLy8pCQkAAAWLVqFe644w5ERkZiwIABeOaZZ9wOYPbs2fjXv/6FjIwMtGrVCrNmzUK3bt0qXN9oNGLatGn47LPPkJmZibp16+LFF1/Egw8+6Pa+KUixeDt0BWJi4WI3KLNaDaHRoGZsLCL0ei8GRt4SodNBq9HgpMEAk0aDcP6vIqIg43ZikZaWhq1btyIhIQGrVq3CkiVLAACXLl1CeHi4W9taunQpJk6ciNmzZ6Nr16744IMP0K9fPxw4cAD16tUr9zF33303zp8/j/nz56Nx48bIysqCxWJx92lQMGOLRegKlP8FxcXA4cPydtu2rj3m7xYKtlQENrX9/eP7SERByO3EYuLEibj//vsRHR2N9PR0dO/eHYDsItWmTRu3tjVz5kyMHj0aY8aMAQDMmjULq1evxpw5czBjxowy669atQobN27EsWPHHK0m9evXd/cpULBjYhG6SkoCY0SoAwdky1qtWkBystLREBEReYTbXTzHjh2Lbdu24aOPPsLmzZuhVstNNGzYENOnT3d5OyaTCTt37kSfPn2clvfp0wdbtmwp9zHffPMNOnbsiDfffBN16tRB06ZN8fTTT6OkpMTdp0HBjN0LQpfBEBiJhb0blKutFURERAHArcTCbDajYcOGiIiIwJAhQ5zmrhgwYAC6du3q8rays7NhtVqRkpLitDwlJQWZmZnlPubYsWPYvHkz9u3bh6+++gqzZs3Cl19+iXHjxlW4H6PRiPz8fKcLBTm2WIQuozEwJporXbgdAkaOHQtVfDz++c47TstXfP89VPHxjr+FEJi3YAGu79UL0XXrokZ6Ojr26IFZc+aguLjY12ETEZGb3EostFotjEajR/v4XrktIUSF27fZbFCpVFi0aBE6deqE/v37Y+bMmViwYEGFrRYzZsxAXFyc45KWluax2MkP2YecpdBkMMjRwfxZfj5w/Li8rUCLhU0InM414M+sIpzONcAmhE/2Gx4ejjf+/W9cys2tcJ0HHnkEE194Abf364efvvkGu3/+GS898wy+XrkSa376ySdxEhFR1bl9au/xxx/HG2+8gf/+978Iq8aZwaSkJGg0mjKtE1lZWWVaMexq166NOnXqIC4uzrGsRYsWEELgzJkzaNKkSZnHTJ48GZMmTXL8nZ+fz+QimAnBrlChzGDw/xaLffvk57RePaDU2XpfOJJdjNWHcnA0pwQGiw3hYWo0SoxA36aJaJwU6dV997r5Zhw5fhwzZs7Em9Omlbn/i6++wqJly7Bi0SLc3r+/Y3n9evVwW79+bG0mIgoAbv8C//rrr1i/fj3WrFmDNm3aICoqyun+5cuXu7QdnU6HDh06YO3atRgyZIhj+dq1a3H77beX+5iuXbti2bJlKCwsdHTDOnToENRqNerWrVvuY/R6PfQcmjG0sMUiNFksMqn09xoLheorjmQX4+Md53CxxIzaMXpEajUoNlux73whzuUbMapjqleTC41Gg9dfeglDH3oIEx55BHWvmBRw0bJlaNakiVNSYadSqZxOKBERkX9yu89AjRo1cMcdd6Bv375ITU116mbk7j/+SZMm4b///S8++ugjHDx4EE8++SROnTqFRx99FIBsbRg+fLhj/aFDhyIxMRGjRo3CgQMHsGnTJjzzzDN48MEHERER4e5ToWDFxCI0mc0yuWBiUYZNCKw+lIOLJWY0SYxEjD4MGrUKMfowNEmMxMUSM9Ycvuj1blFDBg5E+zZtMOWf/yxz3+Fjx9CscWOv7p+IiLzL7RaLjz/+2GM7v+eee5CTk4Np06YhIyMDrVu3xsqVK5Geng4AyMjIwKlTpxzrR0dHY+3atXj88cfRsWNHJCYm4u6773ZrNCoKAUwsQpO9xcKfu0JdugScOSNrgVq18tluz+YZcTSnBLVj9GVq2FQqFWrH6HEkuxhn84xIq+HefETuemPKFNxy++146opBNyqrryMiosBQpV9gi8WCDRs24OjRoxg6dChiYmJw7tw5xMbGOo0U5YqxY8di7Nix5d63YMGCMsuaN2+OtWvXViVsCgUqVWDNvkyeEwgtFvv3y+v69YGYGJ/ttshkhcFiQ6S2/NcmQqvB+QITikzer0+6qWtX9L3lFrzw6qsYOXSoY3nTRo1w8NAhr++fiIi8x+2uUCdPnkSbNm1w++23Y9y4cbhw4QIA4M0338TTTz/t8QCJ3KJWB87sy+RZZrP/11js3SuvW7f26W6jdBqEh6lRbC4/cSgxW6EPUyNK55vX7p9TpuDbVauw5ddfHcuG3nknDh05gq9XriyzvhACeXl5PomNiIiqzu3E4oknnkDHjh1x6dIlp7qGIUOGYP369R4NjshtKhVHhQpVgVC8vW+fvPZxYlEnTo9GiRHIKDBCXFFHIYRARoERjZMiUSfONwNdtGnVCvffdRfe/fBDx7K7hwzBPUOG4L4xYzBj5kzs2LULJ0+dwnerVqHX4MH4afNmn8RGRERV53ZXqM2bN+OXX36BTqdzWp6eno6zZ896LDCiKmFiEbrMZllf46+JRV4ecPq0vO3D+goAUKtU6Ns0EefyjTicU4zaMXpEaDUoMVuRUWBEQoQOfZokQO3DGodXX3gBX6xY4fhbpVLh8//+F/MWLMBHixZh+ttvI0yjQZNGjTD83nvR95ZbfBYbERFVjduJhc1mg7WcA7czZ84gxod9honKpdGwxiJU+fv7bq+vSE8HYmN9vvvGSZEY1THVMY/F+QIT9GFqtKkVgz5NErw61OyC2bPLLEuvVw+GK+YxUqvVePTBB/Hogw96LRYiIvIetxOL3r17Y9asWZg3bx4AeZapsLAQU6ZMQf9yxh8n8imVijUWocrfEwuFukGV1jgpEg0TI3A2z4gikxVROg3qxOl92lJBRETBy+3E4p133kGPHj3QsmVLGAwGDB06FIcPH0ZSUhIWL17sjRiJXMeuUKHL3xNKhQq3r6RWqbw+pCwREYUmtxOL1NRU7N69G4sXL8bvv/8Om82G0aNH4/777+ckdaQ8jgoVusxmwMsTvFVZfj5w8qS87eP6CiIiIl9xO7EoLi5GZGQkHnzwQTzIfrDkb9RqtliEKqNRvv/+6MABeZ2WBtSooWgoRERE3uL2r3BycjKGDRuG1atXw8YZjsnfcIK80GU0+u+IUPb6CrZWEBFREHM7sfj0009hNBoxZMgQpKam4oknnsD27du9ERuR+9RqOeSov3aJIe8pKQHC3G6E9Q17YtGmjbJxEBEReZHbicX//d//YdmyZTh//jxmzJiBgwcPokuXLmjatCmmTZvmjRiJXGdPLNiaFnpMJv/sClVYCBw/Lm8rXLhNRETkTVX+FY6JicGoUaOwZs0a7NmzB1FRUZg6daonYyNyn0olWyuYWIQef22xOHhQfiZTU4H4eKWjISIi8poqJxYGgwFffPEFBg8ejGuvvRY5OTl4+umnPRkbkftUKplUsIA7tAgha2v8scbCXrjdsqWycRAREXmZ26f31qxZg0WLFmHFihXQaDS48847sXr1atx8883eiI/IPWo1WyxCkcUiL/6YWBw8KK+ZWBARUZBzu8Vi8ODBKC4uxieffILz589j3rx5TCrIf7DGIjSZzfI997fEwmwGDh+Wt0M8sdjy66/QJCbi1jvvdFp+4tQpqOLjy71s48AgREQBxe0Wi8zMTMTGxnojFqLqY41FaLJYZPc3f0ssjhyRyUVcHFC7ttLRSMIG5J8FzEWANgqIrQOovF/0/tGiRXj84Yfx34ULcer0adRLS3O6f92KFWjVvLnTssSEBK/HRUREnuNSYpGfn1/p36Ux6SBFscUiNJnN/tkVyl5f0aKFTHqVdvEwcGQ1cPEoYDUAmnAgoRHQuC+Q0MRruy0qKsIXK1Zg+/r1yDx/HgsWL8bLzz7rtE5iQgJqpaR4LQYiIvI+lxKLGjVqQOXij6KVRbOkJBZvhyZ/bbHwp/qKi4eBXR8DJZeA6NqANhIwFwNZ+4GCc8A1o7yWXCz96is0a9wYzZo0wbC778bjzz2Hl555xuXfFSIiCgwuJRY//fST4/aJEyfw/PPPY+TIkejcuTMAYOvWrfjkk08wY8YM70RJ5CoWb4cmf0wsbDb/SSyETbZUlFySyYP9gF4fA+ii/27JWANc18gr3aLmL1yIYXffDQC4tVcvFBYVYf3GjejVvbtjnS59+0J9xTwkeSdPQuNP7ykREVXKpcSidHH2tGnTMHPmTNx3332OZbfddhvatGmDefPmYcSIEZ6PkshV7AoVmvyxePvsWaCgANDpgIYNlY0l/6zs/hRdu2yXLJVKLr94RK4Xl1b+Nqror8OH8dvvv2P5woUAgLCwMNwzZAg++uwzp8Ri6fz5aNGsmdNjmVQQEQUWt4u3t27dirlz55ZZ3rFjR4wZM8YjQRFVmb0rFBOL0GI2Kx1BWfb6imbNlJ+4z1wkayq0keXfr40AijLleh42f+FCWCwW1CnVaiOEgFarxaXcXMeytLp10VjpBIyIiKrF7TbvtLS0chOLDz74AGlpnj3TReQ2+6hQrLEILRaL0hGUVbpwW2naKFmobS4u/35zCaDRy/U8yGKx4NOlS/H29OnYvWmT47Ln55+RnpaGRV984dH9ERGRstw+jfbOO+/gjjvuwOrVq3HDDTcAALZt24ajR4/if//7n8cDJHILayxCkz8mFv5SXwHIIWUTGslCbV20c3coIYDCDCC5tVzPg75bvRqXcnMxetgwxMXFOd135223Yf5nn2HgrbcCAHIuXkTm+fNO69SIi0N4eLhHYyIiIu9xu8Wif//+OHz4MG6//XZcvHgROTk5uP3223Ho0CH079/fGzESuY7zWIQmf+sKdfEikJkpE90r5mZQhEoth5SNiJeF2sYCwGaR1xcPAxEJQOM+Hi/cnr9wIXrdfHOZpAIA7rjtNuzeuxcXL10CAPQaPBi1mzd3uqz4/nuPxkNERN5VpY6/devWxWuvvea0LCcnB7NmzcLEiRM9ERdR9TCxCC1ms3/ME2Fnb61ITwciK6hr8LWEJnJIWfs8FkWZsvtTcmuZVHhhqNlvlyyp8L5r27WD+DupsF8TEVFgq1ZFoRACa9aswfz58/H1118jNjaWiQX5B9ZYhBaDQbYO+At/qq8oLaGJHFJWgZm3iYgo+FXp1+TEiRN4+eWXkZ6ejv79+0Ov1+P7779HZmamp+Mjqhq2WIQWo9G/hpr1p/qKK6nUckjZpObymkkFERF5iMu/KEajEYsXL0bPnj3RokUL7Nu3DzNnzoRarcbkyZPRq1cvjjlO/oOJRWgpKVF+SFe74mLg2DF52x8TCyIiIi9x+Ze4Tp06aNmyJYYNG4Yvv/wS8fHxAOA0UR6R32BiEVpMJv/pCnXokPz8JScDSUlKR0NEROQzLv8SW61WqFQqqFQqtkyQ/2ONRWgxGPynxcLeDcrf6iuIiIi8zOXEIiMjAw8//DAWL16MWrVq4Y477sBXX30FlT+NxEIEXJ59m0KDxSITSX854eGvhdtERERe5nJiER4ejvvvvx8//vgj9u7dixYtWmDChAmwWCx47bXXsHbtWlh5lpj8AeexCC3+lFhYrcBff8nbrK8gIqIQU6VOyY0aNcL06dNx8uRJfP/99zAajRg4cCBSUlI8HR9R1TDJDR1ms0wu/CGxOH5cdsuKigLq1VM6GiIiIp+qVqdktVqNfv36oV+/frhw4QIWLlzoqbiIqk6lYmIRSiwW2ULlD4lF6W5Q/lJMTkRE5CMe++WrWbMmJk2a5KnNEVWdSiUPNik0+FOLBQu33dJ94EBMnDxZ6TAqpYqPx4rvv3d5/ZFjx2Lw/fd7MSIiIv/FU2oUfNRqtliEEn+psRCCiUU5Ro4dC1V8fJnLkWPHsHzhQrz6wguOdeu3bYtZc+YoGC0REVWHn4zPSORBKpU8i02hwV8Si/PngYsX5bC3TZooG4ufubVnT3z8/vtOy2omJXHociKiIONSi0V+fr634yDyHLWaXaFCiT2JVHroa3t9RePGgF6vbCx+Rq/Xo1ZKitNFo9E4dYXqPnAgTp4+jSdfeMHRqlERVXw8Pvj4Ywy85x5EpqaixfXXY+tvv+HIsWPoPnAgourUQec+fXD0+HGnx82ZPx+NrrkGuuRkNLvuOixcssTp/sNHj+Km/v0RXqsWWt5wA9b+9FOZfZ89dw73PPgg4uvXR2LDhrh96FCcOHXKA68SEVHgcymxiI+PR1ZWFgDglltuQW5urjdjIqoeFm+HFn9pnfL1/BVCAEVFylyE8PjTWb5wIeqmpmLaCy8g488/kfHnn5Wu/+pbb2H4vfdi96ZNaN6kCYY+9BAeefJJTH7ySez48UcAwPhnnnGs/9V33+GJyZPx1Lhx2LdlCx4ZORKjxo/HTz//DACw2Wz4vwcegEajwba1azH37bfx3CuvOO2zuLgYPW67DdFRUdj0/ffY/MMPiI6Kwq133gmTyeTZF4SIKAC51BUqOjoaOTk5SE5OxoYNG2D2lx9yovKwxSK0+Mt77ev6iuJioG5d3+zrSmfOyCF1XfTd6tWILhVrv169sGzBAqd1EuLjodFoEBMdjVouDF0+auhQ3D1kCADguSeeQOc+ffDSM8+gb8+eAIAnHnkEo8aPd6z/1rvvYuTQoRg7ZgwAYFLjxti2Ywfeevdd9OjWDes2bMDBQ4dwYs8e1K1TBwDw+ksvod9ddzm2sWT5cqjVavz3P/9xTA778fvvo0b9+tiweTP63HKLy68JEVEwcimx6NWrF3r06IEWf/9gDhkyBDqdrtx1f/z7TBGRYphYhBZ/eK8LC4HTp+Xt5s2VjcUP9ejWDXPeftvxd1RkZLW32bZVK8ftlORkAECbUpMSpiQnw2AwID8/H7GxsTh46BAeHjnSaRtdr78e/547FwBw8NAh1Ktb15FUAEDn665zWn/n7t04cuwYYtLSnJYbDIYy3a6IiEKRS4nFZ599hk8++QRHjx7Fxo0b0apVK0R64IeByCs43Gxo8YcW1EOH5HWtWkCNGr7ZZ2SkbDlQgpv//6MiI9G4YUOPhqDVah237a0H5S2zleq2pbqiDkcI4VgmyunedeX6NpsNHdq3x6J588qsWzMx0d2nQEQUdFxKLCIiIvDoo48CAHbs2IE33ngDNXz140nkLtZYhBajUfkRoez1AL5srVCp3OqOFAh0Oh2sXvrutmjaFJu3bcPwe+91LNvy229o0bQpAKBls2Y4deYMzmVkILV2bQDA1u3bnbZxbbt2WPrVV0hOSkJsbKxX4iQiCmRuz2Px008/OZIKIUS5Z3mIFKXRMLEIJQaD8rNc//WXvGY3qGqpX68eNm3ZgrPnziE7J8ej235mwgQs+PxzzP3oIxw+ehQz338fy7/9Fk8//jgAoFf37mjWpAmGP/YY9uzdi5+3bMGL06c7beP+u+5CUmIibr//fvy8ZQuOnzyJjb/8gieefx5nzp71aLxERIGoSr/Gn376Kdq0aYOIiAhERESgbdu2WLhwoadjI6oae4uFzaZ0JOQLSrdY2GyXu0I1a6ZcHEFg2uTJOHHqFBpdey1qNm7s0W0PHjAA/54xA/9691206twZHyxYgI/few/db7wRAKBWq/HVwoUwGo3o1KsXxjzxBF77xz+cthEZGYlN33+PenXr4v+GD0eL66/Hg+PHo8RgQGxMjEfjJSIKRCrhZpPDzJkz8dJLL2H8+PHo2rUrhBD45Zdf8P7772P69Ol48sknvRWrR+Tn5yMuLg55eXnKNWUXFwOLFsl+ymxO97ycHDkc5rBhQKk+1xSkvvxSvuepqcrs/9QpYPx4IDwcWLzYa0mOISwMx5OT0SAtDeEVDJ5B/s9gMuH46dNokJWFcNaCEZErDh0C+vf33aiDV3Dn2NntmbffffddzJkzB8OHD3csu/3229GqVSu88sorfp9YUAiwjwrFFovQYDIp2xXKXl/RpInytR5EREQKcvvXOCMjA126dCmzvEuXLsjIyPBIUETVolbLpIKJRfCz2WRiEeb2ORLPsScW7AZFREQhzu3EonHjxvjiiy/KLF+6dCmaNGnikaCIqkWlkl2hmFgEP7NZvs9KthSwcJuIiAhAFbpCTZ06Fffccw82bdqErl27QqVSYfPmzVi/fn25CQeRz9lbLDgyVPCzWOT7rNcrs/+CgssT47HFgoiIQpzbLRZ33HEHfv31VyQlJWHFihVYvnw5kpKS8Ntvv2HIkCHeiJHIPewKFTrMZplcKNViYR8NqnZtIC5OmRiIiIj8RJU6Jnfo0AGfffaZp2Mh8gx2hQod9iJ9pWoslJgYj4iIyE8pPKsUkReo1UwsQoXFIi9KjQrFwm0iIiIHJhYUfDhBXugwm+V7rURXKKv1clcohcYWJyIi8idMLCj42FssWLwd/Mxm+V4r0WJx+jRQUgJERAD16vl+/0RERH5GwcHfibyENRahQ8mZi/1lYrySEjmXh6/odDKZIiIiuoLbicWCBQtw9913IzIy0hvxEFUfR4UKHWazcvv2h/krSkqAlSuBvDzf7TMuDujf3+XkoqCgAC+9/jq++u47ZGVn45o2bfDvf/4T1117rWOdkWPH4pPFi50ed33Hjti2dq3j70kvvogFn3+O6KgovDl1Ku694w7HfV989RUWLl2Kb5csuWo8JpMJs+bMwaJly3D42DFERkSgWePGGDN8OIbdfTe0Wi1Gjh2L3Lw8rFi0yKXnSEREktuJxeTJkzFhwgTcddddGD16dLmzcBMpii0WocMfWiyULNw2mWRSodcD4eHe35/BIPdnMrmcWIx54gnsO3gQC+fORWrt2vjsiy/Qa/BgHNi2DXVSUx3r3dqzJz5+/33H3zqdznH72x9+wOdffok1y5fj8NGjGDV+PHr36IHEhATk5uXhxenTsX7FiqvGYjKZ0PeOO7Bn3z68+sIL6HrDDYiNicG27dvx1nvv4Zq2bdG+TRvXXw8iInLidmJx5swZfP/991iwYAF69OiBBg0aYNSoURgxYgRq1arljRiJqoY1FsFPqcSioAA4e1be9ocRocLDAV+1IhuNLq9aUlKC/33zDb5etAg3de0KAHjl+eex4vvvMeejjzD9H/9wrKvX61ErJaXc7Rw8dAjdu3ZFx2uuQcdrrsHEF17AsRMnkJiQgGenTMHY0aNRLy3tqvHMmjMHm7ZswY6ffsI1bds6ljesXx93DR4Mky+7lBERBSG3Kx41Gg1uu+02LF++HKdPn8bDDz+MRYsWoV69erjtttvw9ddfw8YzxeQP+DkMfkajbKHyNXs3qDp1gNhY3+8/QFgsFlitVoRf0ZoSERGBzdu2OS3bsHkzkps0QdOOHfHQE08g68IFx33tWrfGjt27cSk3Fzt370aJwYDGDRti89at+H3PHkx45BGX4lm0bBl6de/ulFTYabVaREVFVeFZEhGRXbWGUklOTkbXrl3RuXNnqNVq7N27FyNHjkSjRo2wYcMGD4VIVEVMLIKf0ajM5Hj+0A0qAMTExKDzddfh1X/9C+cyMmC1WvHZ0qX4dccOZJw/71ivX69eWDRvHn78+mu8/eqr2P7777jltttg/Lt1pG/Pnhh299247pZbZD3G7NmIiozEY089hQ/eeQdz5s9Hs+uuQ9e+fbH/4MEK4zl87BiaN2ni9edNRBSqqpRYnD9/Hm+99RZatWqF7t27Iz8/H9999x2OHz+Oc+fO4f/+7/8wYsQIT8dK5B4mFsGvpESZEZn8oXA7QCz84AMIIVCnZUvoU1Lwn3nzMPTOO6Ep9b7d83//hwF9+6J1y5YY1K8ffli2DIeOHsX3a9Y41nnl+edx5PffsXfLFgwZOBCvz5yJXt27QxsWhulvv43NP/yAMcOHY/hjj1UYixACKiVauIiIQoTbicWgQYOQlpaGBQsW4KGHHsLZs2exePFi9OrVC4Bs4n7qqadw+vRpjwdL5BbWWAQ/k8n3c1iUnhiPLRZX1ahBA2z8/nsUnjmD0/v24bf162G2WNCgkrk/ateqhfS0NBw+erTc+/88dAiLli3Dqy+8gA2//IKbunRBzaQk3D14MH7fswf5+fnlPq5po0Y4aH/viIjI49z+RU5OTsbGjRuxb98+TJw4EQkJCWXWqV27No4fP+7S9mbPno0GDRogPDwcHTp0wM8//+zS43755ReEhYWhffv27oRPoYQtFsGvpMT3XaFOneLEeFUQFRWF2rVq4VJuLlavX4/b+/evcN2cixdx+uxZ1C5nQBAhBB6eOBFvv/oqoqOjYbVaYf572GHz38X8NiHK3e7QO+/Eug0bsOuPP8rcZ7FYUFRUVJWnRkREf3M7sbj55ptxbanxx+1MJhM+/fRTAIBKpUJ6evpVt7V06VJMnDgRL774Inbt2oVu3bqhX79+OHXqVKWPy8vLw/Dhw9GzZ093w6dQwsQiuAkh57HwdVcoe31F06bKTowXIFavX49V69bh+MmTWPvTT+gxaBCaNWmCUfffDwAoLCzE0y+9hK2//YYTp05hw+bNGHTvvUhKTMSQAQPKbO/DTz5Bcs2auO3vxKTr9dfjx02bsG37drwzezZaNm+OGnFx5cYy8bHH0PX669Hz9tvx/ocfYs/evTh24gS++OorXN+rFw4fO+a9F4KIKAS4fapv1KhRuPXWW5GcnOy0vKCgAKNGjcLw4cNd3tbMmTMxevRojBkzBgAwa9YsrF69GnPmzMGMGTMqfNwjjzyCoUOHQqPRYIULY5dTiGJXqOBmNsvhZpVKLPypvsJg8Nv95OXnY/K0aThz7hwS4uNxx6BBeO0f/4BWqwUgRxrce+AAPl2yBLl5eaidkoIe3bph6UcfISYmxmlb57Oy8PrMmdiyerVjWacOHfDU+PEYcM89SK5ZE5/Mnl1hLHq9Hmu/+grvzJ6NDxYswNMvv4zIiAi0aNoUEx55BK1btHD7+RER0WVuJxYVFb+dOXMGcRWcJSqPyWTCzp078fzzzzst79OnD7Zs2VLh4z7++GMcPXoUn332GaZPn37V/RiNRsfIIgAq7HtLQYgtFsHNbJbJo17v2/36U+G2Tidnws7Lc2t+iWqJi5P7ddHdQ4bg7iFDKrw/IiICq//3P5e2lZKcjBPldGN6+dln8fKzz7q0Db1ej+effBLPP/lkhessqCQ5ISKiirmcWFxzzTVQqVRQqVTo2bMnwkr1a7ZarTh+/DhuvfVWl3ecnZ0Nq9WKlCsmREpJSUFmZma5jzl8+DCef/55/Pzzz077r8yMGTMwdepUl+OiIKFSMbEIdvYWC1/WWOTnA+fOydv+ULgdEQH07y+L2H1Fp3N51m0iIgotLv8iDx48GACwe/du9O3bF9HR0Y77dDod6tevjzvuuMPtAK5s/aioRcRqtWLo0KGYOnUqmjZt6vL2J0+ejEmTJjn+zs/PR5oLM7RSgFOplJuVmXzDZPJ9Vyh7a0XdukCp/4GKiojggT4REfkFlxOLKVOmAADq16+Pe+65p8xMqu5KSkqCRqMp0zqRlZVVphUDkDUcO3bswK5duzB+/HgAgM1mgxACYWFhWLNmDW655ZYyj9Pr9dD7uqsEKU+lkme0KXjZu0L5ssWCE+MRERFVyO1fZE9NfKfT6dChQwesXbsWQ0r1v127di1uv/32MuvHxsZi7969Tstmz56NH3/8EV9++SUaNGjgkbgoSKjVbLEIdmaz7O7myxYLfyzcJiIi8hMuJRYJCQk4dOgQkpKSEB8fX+nMpRcvXnR555MmTcIDDzyAjh07onPnzpg3bx5OnTqFRx99FIDsxnT27Fl8+umnUKvVaN26tdPjk5OTER4eXmY5EdRqjgoV7MxmOeSsr1itwOHD8jYTCyIiojJcSizeeecdx7B/77zzTqWJhTvuuece5OTkYNq0acjIyEDr1q2xcuVKxxwYGRkZV53TgqhcrLEIfr4sWAaAkyflcKuRkYASdVp/J1E+TKXIC4Q9GfZlUkxE5CMuJRaluz+NHDnSowGMHTsWY8eOLfe+BQsWVPrYV155Ba+88opH46EgoVazxiLY+fr9LT0xntrtuUWrTSMEIARMFgsi3BjulfxLsckE2GzQctQ6IgpCLiUW7sz9EBsbW+VgiDyGXaGCn9ksW6Z8ReH5K8JsNkSWlODCpUvQajRQ+/K5U7UJIVBsMiErOxs1CgtlokhEFGRcSixq1Khx1e5P9mFirTyYI3+gVvtuwjBSRnGxb1sOFB4RSgWgdn4+jut0OOmrmbbJs2w21CgsRK3CQqUjISLyCpcSi59++snbcRB5lkbDGotgV1Liu6Fm8/KAjAx5W8GhZnU2G5pkZcGk0fi2tYaqTwhobTa2VBBRUHPpV/nmm2/2dhxEnmXvCmW1+nY4UvIdg8F37629tSItTfGJ8dQAwtkyTEREfsilxOKPP/5A69atoVar8ccff1S6btu2bT0SGFG12Oex8PXMzOQ7xcW+a7Hg/BVERERX5dKvcvv27ZGZmYnk5GS0b98eKpXq8pB5pbDGgvyGRiOHI+XnMThZrfL99VViYS/c5ozbREREFXLpV/n48eOoWbOm4zaR3yvdFYqCj9ks31ut1vv74sR4RERELnEpsbBPWHflbSK/pVYDNhsLuIOV2Szf24gI7+/rxAk5wlhUFFC3rvf3R0REFKCq1I/gr7/+wrvvvouDBw9CpVKhefPmePzxx9GM3QTIX2g0MrFgi0VwsicWvugKpfDEeERERIHC7V/JL7/8Eq1bt8bOnTvRrl07tG3bFr///jtat26NZcuWeSNGIvfZu0KxxSI42etnfJlYsBsUERFRpdz+VX722WcxefJkTJs2zWn5lClT8Nxzz+Guu+7yWHBEVWbvCsUWi+Bkb7HwxYhfgZxYnDolX6M6dZSOhIiIQoDbLRaZmZkYPnx4meXDhg1DZmamR4IiqjYWbwc3sxkQwvtdky5eBM6fl5PRBVpXz5IS+flXqYBz55SOhoiIQoDbv8rdu3fHzz//XGb55s2b0a1bN48ERVRt9lmJ2RUqOJlMvtmPvbUiPR2IjPTNPj0lK0sWm998s/wenD+vdERERBTkXOoK9c033zhu33bbbXjuueewc+dO3HDDDQCAbdu2YdmyZZg6dap3oiSqCpWKLRbBymz2zX4CtRuU1SpnJm/ZUsZutQLr1wM5OUBiotLRERFRkHIpsRg8eHCZZbNnz8bs2bOdlo0bNw6PPvqoRwIjqjYh2GIRrHydWLRo4Zv9eUpODlCzpmxpAWSCUVwMbNzIxIKIiLzGpcTCZrN5Ow4i72CLRXAyGi93d/MWkwk4ckTeDrTE4tIloFu3y/N8qFRAaqocRctXw/QSEVHI4aDsFNyYWASn4mLvHxwfPSoPwmvUAFJSvLsvTyookJP5NWzovDwmRiYaJSXKxEVEREGvSr/MRUVF2LhxI06dOgXTFUWUEyZM8EhgRB7BrlDByWDw/lCzBw/K6+bNvd864klZWXIEq6Qk5+XR0bIA3WCQSQYREZGHuZ1Y7Nq1C/3790dxcTGKioqQkJCA7OxsREZGIjk5mYkF+Q+ViolFsCop8X6LRSDWV9iH4W3atGwypFYDCQnAiROKhEZERMHP7a5QTz75JAYNGoSLFy8iIiIC27Ztw8mTJ9GhQwe89dZb3oiRqGrUatkXn4KLEN5PLIRwbrEIFDk5sqUiLa38+2vWlC0WREREXuB2YrF792489dRT0Gg00Gg0MBqNSEtLw5tvvokXXnjBGzESVY1a7bvRg8h3LBbvz7qdmQnk5cnkpVEj7+3H0/LzZWuFTlf+/bGxvo2HiIhCituJhVarhervJvaUlBScOnUKABAXF+e4TeQXNBrfTaRGvmM2y6J8b7ZY2LtBNW5c8UG6vykulrHWq1fxOjEx8nvBQQ2IiMgL3P5lvuaaa7Bjxw40bdoUPXr0wMsvv4zs7GwsXLgQbdq08UaMRFWjVjOxCEZms/eHTA3UblC1alU+glV09OWRoaKjfRcbERGFBLdbLF5//XXUrl0bAPDqq68iMTERjz32GLKysjBv3jyPB0hUZewKFZxMJu8nFoE247YQQFGRHA1KXcm/9ehoIDycQ84SEZFXuP3L3LFjR8ftmjVrYuXKlR4NiMhj2GIRnOwtFt6qsSguBk6elLcDJbEoKJD1ExUVbdtpNLK4myNDERGRF1T5lF9WVhb++usvqFQqNGvWDDVr1vRkXETVp9HIA1AhAmseAqqcvcbCW4nFX3/Jz0xKihyeNRBcuCBbK+Ljr75uUpJ8jkRERB7mdleo/Px8PPDAA6hTpw5uvvlm3HTTTUhNTcWwYcOQl5fnjRiJqkatBmw2FqoGG3v3Nm8li4HWDcpqlQm0q6NXxcbKxImIiMjD3E4sxowZg19//RXfffcdcnNzkZeXh++++w47duzAQw895I0YiapGrb580EXBw9vd2wJtYrxLl2TLSt26rq0fE3P5u0FERORBbneF+v7777F69WrceOONjmV9+/bFhx9+iFtvvdWjwRFVi0YjJ8jjAVRw8WZBvtUaeC0WFy8CHTsCkZGurR8Tw5GhiIjIK9xusUhMTERcXFyZ5XFxcYh3pX8vka/Yz8oysQgu3kwsTp2SB9wREUB6uvf24ylms/yc16/v+mM4MhQREXmJ24nFP/7xD0yaNAkZGRmOZZmZmXjmmWfw0ksveTQ4omqx11iwK1RwKSnxXuG2vbWiaVPvzuztKTk5shj77yHAXaLRAImJgMHgvbiIiCgkudQV6pprrnHMtg0Ahw8fRnp6Our9PcPrqVOnoNfrceHCBTzyyCPeiZTIXfYZhtliEVx8kVgESn1FXh7Qpo37s4PXrAkcPuydmIiIKGS5lFgMHjzYy2EQeQFbLIJTSYn3JscLpBm3DQaZUPx9gsctHBmKiIi8wKVf5ylTpng7DiLP02g43GwwMhi802Jx6RKQmSmHsW3a1PPb97ScHDnXRkqK+4+NiZHP05vzgRARUcip8mm/nTt34uDBg1CpVGjZsiWuueYaT8ZFVH2cxyL42GwysfBGi4V90rh69QJjtKSCAuCGG6qWGERFyQJ1o9H10aSIiIiuwu1f56ysLNx7773YsGEDatSoASEE8vLy0KNHDyxZsoQzcJP/YVeo4GGfddsbiUUgdYMqLJTJQZ06VXt8eDig1Xp3hC0iIgo5bo8K9fjjjyM/Px/79+/HxYsXcenSJezbtw/5+fmYMGGCN2Ikqh62WAQPs1kmit7ovhMo81eYzcDZs0BqqhwRqirCw2VyxsSCiIg8yO3TfqtWrcK6devQotSoKS1btsT777+PPn36eDQ4Io9gi0Xw8FaLhdkMHDkib/vriFBCABcuyAnx6tcHOnWSdRJVoVbLFo+LFz0aIhERhTa3f51tNhu0Wm2Z5VqtFjabzSNBEXkUWyyCh9ksL55OLI4ckduNjXVvTghvslply4TRKJMKmw1ISAB69QJatgT0+uptPyoKyMryTKxERESoQmJxyy234IknnsDixYuRmpoKADh79iyefPJJ9OzZ0+MBElUbWyyCh8Eg309PJxYHDsjrli2r3grgafn5sg6ifXtZaK3Xy+5P8fGe2X5sLLtCERGRR7n96/zee+/h9ttvR/369ZGWlgaVSoVTp06hTZs2+Oyzz7wRI1H1sMUieNjP3qvdLg+r3P798rplS89utzpKSoAaNYCuXb2z/chIfjeIiMij3E4s0tLS8Pvvv2Pt2rX4888/IYRAy5Yt0atXL2/ER1Q9KhXPygaTkhLPb9NmuzwiVKtWnt9+VRkMcoZsb6luVyoiIqIruJVYWCwWhIeHY/fu3ejduzd69+7trbiIPEOtBkwmpaMgT/FGYnHqFFBUJEdKatjQ89uvKovFc92eyhMe7r1tExFRSHKrP0FYWBjS09NhZfM5BQq1mi0WwaSgQNYdeJK9vqJZM/+ahVoIOUO2t4SHy+8H/58TEZGHuN1R+R//+AcmT56MixymkAKBRiP75VNwsBc0e5K9vsKfukGZTIBO590ZwPV6uQ8m3kRE5CFu11j85z//wZEjR5Camor09HRERUU53f/77797LDiiamOLRfCw2eSM056sDRDCeUQof1FSIkeC8maLhV5/eZI8dosiIiIPcDuxuP3226Hyl+EYia5Go2FiESxMJnnxZGJx/jyQkyMPsJs189x2q6ukRM4zERnpvX2Eh7PFgoiIPMrtxOKVV17xQhhEXqJWsytUsCgpkQfBnjyLb2+taNTIv0ZJMhiA9HTvzqmh1crnXFTkvX0QEVFIcbnGori4GOPGjUOdOnWQnJyMoUOHIjs725uxEVWfvTiVs8IHPoNBtlh4ssbCH7tBAfJ5JiZ6fz9RUZxAkoiIPMblxGLKlClYsGABBgwYgHvvvRdr167FY4895s3YiKpPo5GJBUe+CXz2Wbc9mVj4Y+G2nTcLt+1iYzkcMxEReYzLXaGWL1+O+fPn49577wUADBs2DF27doXVaoXGn4ZoJCrNXrzt6QNS8j2DwbPby80Fzp6Vt1u08Oy2q8NikQmxNwu37aKjmXQTEZHHuNxicfr0aXTr1s3xd6dOnRAWFoZz5855JTAij9BoZDcoHjwFPk8nFvZuUOnpvjmId5V9RChftFiEh8uRsYiIiDzA5cTCarVCp9M5LQsLC4OF/XPJn9lrLJhYBL6iIvl+eoq9G5S/1VcYDHI0KF8kFv5UsE5ERAHP5a5QQgiMHDkS+lI/RAaDAY8++qjTXBbLly/3bIRE1WFvsWACHPjy8+XwqJ6yd6+8btPGc9v0hJISICXFs0lURezzVwjh3RGoiIgoJLicWIwYMaLMsmHDhnk0GCKPY4tF8Cgo8FydTH4+cOKEvN26tWe26SlGI5CU5Jt96fXyNTWbPZu0ERFRSHI5sfj444+9GQeRd6jVbLEIBhaLPJPvqYNfezeotDSgRg3PbNNThJCjNfkCEwsiIvIgH7S1EynInliwxSKweXoOC3/tBmW1ys+sL+orgMuzb3PIWSIi8gAmFhTc1Gp5BpgtFoHNYPDsWXV/TSwMBnmw76tRqnQ6mazx+0FERB7AxIJCA1ssApsnWyzy8oCTJ+Vtf6uv8OVQs4BMvCMjZdJGRERUTUwsKDQwsQhsBoPs0uaJyTjt9RXp6UBcXPW350kGg6z5CHO5/K36OPs2ERF5CBMLCg3s6hHYPDk5nr0blL+1VgCyxSI52bf7jI5miwUREXkEEwsKDWyxCGzeSCz8rb4CkPVAvm5FiYyUrUFERETVxMSCQgNbLAJbQYFnugfl5gKnTsnb/tZiYbPJSep8Vbhtp9dzcjwiIvIIxROL2bNno0GDBggPD0eHDh3w888/V7ju8uXL0bt3b9SsWROxsbHo3LkzVq9e7cNoKWCxxSKweWrW7dL1Fb6aK8JVBoMs3PZ1YmGffZuIiKiaFE0sli5diokTJ+LFF1/Erl270K1bN/Tr1w+n7GcUr7Bp0yb07t0bK1euxM6dO9GjRw8MGjQIu3bt8nHkFFDUavYhD2RCeG7WbX/uBuXrEaHs9HpZFM9WPSIiqiZFE4uZM2di9OjRGDNmDFq0aIFZs2YhLS0Nc+bMKXf9WbNm4dlnn8V1112HJk2a4PXXX0eTJk3w7bff+jhyCihqNWA0Kh0FVZXJJC+eaLH44w957a+JRY0anpsE0FXh4Zdn3yYiIqoGxRILk8mEnTt3ok+fPk7L+/Tpgy1btri0DZvNhoKCAiQkJFS4jtFoRH5+vtOFQgxbLAKbp+awyM4GzpyRnwd/TSx8PSIUIFssdDp+R4iIqNoUSyyys7NhtVqRkpLitDwlJQWZmZkubePtt99GUVER7r777grXmTFjBuLi4hyXtLS0asVNAUij4Tj9gcyeWFS3xWL3bnnduLHvuxu5QokRoQCZWLDFgoiIPEDx4m3VFaORCCHKLCvP4sWL8corr2Dp0qVIruQs3+TJk5GXl+e4nD59utoxU4BRq5lYBDKDQfb/r26LhT2xaN++uhF5nlIjQgFytC29nokFERFVmw+nd3WWlJQEjUZTpnUiKyurTCvGlZYuXYrRo0dj2bJl6NWrV6Xr6vV66PX6asdLAYwtFoHNYJBn86szJKrNBuzZI2/7Y2JhHxFKqZaUyEg5FC8REVE1KNZiodPp0KFDB6xdu9Zp+dq1a9GlS5cKH7d48WKMHDkSn3/+OQYMGODtMCkYsMYisJWUVH8bJ04AeXmyULlZs+pvz9PsI0Ip0WIBAFFR/I4QEVG1KdZiAQCTJk3CAw88gI4dO6Jz586YN28eTp06hUcffRSA7MZ09uxZfPrppwBkUjF8+HD8+9//xg033OBo7YiIiECcEn2TKTBoNHIeC6tV3qbAculS9d83ezeo1q19P+qSK0pKgNq1lYstMpLDzRIRUbUpmljcc889yMnJwbRp05CRkYHWrVtj5cqVSE9PBwBkZGQ4zWnxwQcfwGKxYNy4cRg3bpxj+YgRI7BgwQJfh0+BQq2WB01MLAJTdrY8m18d9sSiXbtqh+MVSo0IZRceLrubERERVYOiiQUAjB07FmPHji33viuThQ0bNng/IAo+arXsY2+xeGYuBPIdo1FOjledxMJkAg4ckLevucYzcXmaUiNC2fF7QUREHqD4qFBEXmfvCsWuHoGnsFCezQ8Pr/o2DhyQyUVCAuCPw00rOSKUHRMLIiLyACYWFPzsY/Rz9u3AU1go37fqjOxWuhtUdUaW8halR4QC/LPuhIiIAg4TCwp+Wq08Y+2J0YXItwoLZTchdTX+VfnzMLPA5RYZpVss7C17REREVcTEgoKfWi0PTg0GpSMhd+XlVa+VITcXOHZM3vbnxCI+XtlWA51OTpTH7oJERFQNTCwodLDFIvBcuFC9+oqdO2VS2bChPHj3RyUlQM2aysZgTyw4lwUREVUDEwsKDSoVUFysdBTkDqtVzmFRncRixw553bGjZ2LyNJtNXhISlI2DLRZEROQBTCwoNOh0slsNBY7CwsuFzVVhsQC7dsnb113nubg8KTcXqFEDqFtX2TjsiQVrLIiIqBqYWFBo0GrlfAgUOOyJRVVbLA4ckK1UcXFAkyaejc1TcnKARo2ULdwGZOG2TseuUEREVC1MLCg06PVAURG7egSSwkJ5Bj2sivN42rtBXXtt9UaV8haTScbVoIHSkUiRkfx+EBFRtfjhry2RF+h0cj4EjgwVOAoLq/d4e2Lhr92gsrNl0XadOkpHIjGxICKiamJiQaHB3s2DI0MFjuzsqs8InZkJnDkju/j46zCz+flA8+b+MzkdEwsiIqomJhYUGjhJXmARQtYfVLW+wt5a0bKlsjNaV6SwUMZVr57SkVwWESFHqCIiIqoiJhYUGjhJXmApLpY1MVUdEWr7dnntr8PMXrgApKUBSUlKR3JZVVuHiIiI/sbEgkILWywCQ2GhfK+q0mJRUgLs3Stv+2NiYbPJ1rPGjas3q7inMbEgIqJqYmJBoYOT5AWOwkJ58K3Xu//YPXtkrUBKivLzQ5SnqEgOL1u7ttKRONNqZaseERFRFTGxoNDBSfICR2Fh1c/mb9kir2+4wb9aBOwKC4HYWHnxJ3q9LHbnJHlERFRFTCwodHCSvMCRmysPct1lNgO//SZvd+ni0ZA8prBQ1lf4W9Kj1co5QzgyFBERVRETCwodnCQvMAgBZGVVrXB7927Z3S0hAWjWzOOheYQQ/lW0bafTMbEgIqJqYWJBoYOT5AWGoiLZYhEV5f5j7d2gOnf2z9m2jUb5OYyPVzqSsnQ62WrBxIKIiKrID395ibyEk+QFhtxcmVy4m1hYLMCvv8rbXbt6PCyPKCiQhdv+mliwxYKIiKqBiQWFDk6SFxhyc+XBbViYe4/bu1fWL8TFAS1aeCW0aisslKNV+ePQrmFhl5NvIiKiKmBiQaGDk+QFhgsX3E8qAOCXX+R1585VK/z2BZMJSE1VOoqKRUZyVCgiIqoyJhYUethi4b9sNuDcOfe7QVmtwLZt8ra/jgZltcrk1h+7QdmFh7MrFBERVRkTCwotnCTPvxUUyEt0tHuP278fyM+X9QutW3sntuqy1434c2IRGcnEgoiIqoyJBYUWTpLn3y5dkolfZKR7j9u8WV5ff33VulH5QkGBTCrcTZp8iV2hiIioGphYUGjhJHn+LTdX1sG4M1SsyQT8/LO8fdNNXgnLI4qLgbp1/W9ivNL8saiciIgCBhMLCi2cJM+/nT8vkz93/PabfE+TkoA2bbwTV3UJIS+JiUpHUjkmFkREVA1MLCi0cJI8/2WxAJmZ7ncV+vFHed29u/+OBlVSIgujExKUjqRyOp1MgIiIiKqAiQWFFk6S57/y8uQ8D+6MCHXpEvD77/L2Lbd4Jy5PKC6Wz6tGDaUjqZxOJ7uh2WxKR0JERAGIiQWFFk6S579yc+X7EhHh+mM2bpQHwU2byvoFf2U0ArGx/ltYbqfVcvZtIiKqMiYWFFrsk+QVFSkdCV3p4kVZ2OxOcbO9G5Q/t1YAMrGIi1M6iqvT6WRywcSCiIiqgIkFhR6VSp4dJ/+SkSHrEFx17Bhw4oQ8w96tm9fC8giLxf+7QQEysWCLBRERVRETCwo9ERGySJj8h9EIZGe7V19hb63o1ElOjOfv3OnipRR7YmE2Kx0JEREFICYWFHoiI2XRr9GodCRkl5kpZ86OjXVtfZMJ2LBB3u7Z02theYR9lKVASCy0WnaFIiKiKmNiQaEnKkqO0sMZuP3HyZOyCNvVOSw2bZKJSM2awLXXeje26jKb5fNydzZxpXD2bSIiqiImFhR6dDo5jwUTC/9gMABHj7pegyAE8O238nb//v47d4WdySQnZgyEFgtA1rmwxYKIiKqAiQWFHvvIQ/n5SkdCAHD2rOya5urkcfv3A8ePywSxTx/vxuYJRmNgJRZRUayxICKiKmFiQaFJr2cBt784cUImeq62PHz3nbzu0SMwiraNRnmw7mo3L6VFRbErFBERVQkTCwpNkZHAhQvs8qG0wkLZ+uBqa8WFC8C2bfL2wIHei8uTjMbAGGrWzp2RuYiIiEphYkGhKSpKzvLM7lDKOntWzini6uRx338vi7zbtQPS070amsdYLIExOZ5dVJRsQWKrBRERuYmJBYWm8HAmFv7g2DHZRciVblAGA7BmjbwdKK0VgCw2D5QRoQAgOlp+PzgcMxERuYmJBYUmtVoe8HFkKOXk5QGnTgGJia6t//33sutUrVpAx47ejc2ThAicwm3gcmJhMCgdCRERBRgmFhS6wsJkn31SxsmTrk+KV1wMLF8ub99zj/8PMWsXaHNYAHK0rZgYJhZEROQ2JhYUuiIjgaws2WeffMtoBPbulUmFSnX19b/5BigoAOrUAbp393p4HmMyyQP1QGqxAOTEgyUlSkdBREQBhokFha6oKHmwWliodCSh58QJOdxvcvLV1y0sBL7+Wt6+777Aaa0ALs9hEUgtFoAcxYrF20RE5CYmFhS6IiNlFxsWcPuW1Qrs2ycPuMPCrr7+ihVAUZEcBerGG70enkeZTLK1QqdTOhL3cMhZIiKqAiYWFLo0GtkNigXcvnX6tLzUqnX1dfPygG+/lbeHDpVF94HEZAqsoWbtoqNl0scZuImIyA0B9itN5GEajayzIN8QAti/X97W66++/qJFsq9/o0bADTd4NzZvCLTJ8ew4MhQREVUBEwsKbfHxwNGjstaCvC8jQ8607UprxYEDwKpV8vbo0a4VefsbIeRBeqCJipJduJhYEBGRG5hYUGirUUPO/HzypNKRBD8hZLJgNF69D7/ZDMyeLW/36gW0bu39+Lwl0EaEAmSXs/h4jgxFRERuYWJBoU2tlkXcBw9yFBxvO3FCdoNKTb36ul99JSfPi40FRo70dmTeYbXKrnaBNiKUXWIiZ98mIiK3MLEgqllTdtHJyFA6kuBlNAI7dsjuTFfrGnTuHPDFF/L26NGuTaDnj4zGwJzDwi42VrYyERERuYiJBVF4uOx6c/So0pEErwMHZItF3bqVr2exAP/5jxxNqV27wJoM70qBOoeFnT0B5ASSRETkIiYWRIDs9nH4MCfL84ZLl4DffwcSEgCttvJ1P/5YJiGRkcDYsYFZsG1nMsnEwpXRr/yRfWQok0npSIiIKEAwsSACZKEqi7g9z2qVScXFi7LLWWV++unynBUTJwK1a3s9PK8ymeTgAIGaHNkTCxZwExGRi5hYEAGyiDsiQhZxs2DVM2w24LffgN27gbS0yg+wjx0D3n9f3r777sCcs+JKBoNMWAOVvRsXh5wlIiIXMbEgsqtVSx7gbtvGfuXVZbMB27cDW7fK17Wy4WXPnwdef12e4b/2WuC++3wXp7dYrbLw2ZX5OvyVSgUkJTGxICIilzGxILLT6eSZ9Z07gT17lI4mcNlssvvTli2y+1NlozplZAAvvCBnP09NBZ56Sg7RGujy84G4OCAlRelIqichQQ5sQERE5IIwpQMg8ivR0bL7ypYt8sCwYUOlIwocBoOsUdm/X44AlZQkawwqcuYM8I9/yPqLOnWA6dOBmBhfRetdublA48aBOet2aYEePxER+RQTC6IrJSUBp08DGzfKs+fp6UpH5L9sNuDCBfl6/fknkJkpC37T0uR1RQ4cAN54Q44YVa8e8OqrgV2PUJoQsltXMHxuEhJknUV+fuDOJ0JERD7DxIKoPHXryrPv338PXH+9nFMhjF8XADKZyMmRtRGHD8sJ7YqLZetEo0aVv05WK7BsGbBkidxO/foyqYiL81X03ldcLGtKAr0bFCC7sjVtKgvwmVgQEdFV8EiJqDwqlTzozcmRw6BeuAB06iTP4IYig0HWQZw/Lwvcs7PlMKQREbKFx5VJ4M6dA959V3aVAoAePYBHHgncCeQqcumSfE2C5bPSsqVsjSooCJ6uakRE5BVMLCgk2WwCOUUmGC1W6MM0SIzSQa0uZzjUxER59nnfPthOnsSFOg2Qn94Q4am1USc+stzH2GwCZ3NLUGSyQKdRYd+5fGTmGaAPU+Ga9HjEheugAlBstiJSq4EAUGK2IkoXhjo1Iq66zQitBsImcOJiMYQQ0GvVMFpsEDaBAqMFeSVmhGs1qFMjAsVmC45mFcJotqF2jQhcWyce2SVG5OSbkF1sQEK0HolROkAARy4UwmCyoVFyFJpEa1AXRqjzcmE7l4FLfx2F+eIl6FUCtqhoFEVGIUMbicyLBpScz0ZKjB6RujCoAOQbzIAK0IWpoVOrYcm6gEY/fY9av22GymaDLTwchSPH4FKnrsg8X4JCQwF0YWrUjNYjUqdBhC6s4vfDQ1x+/6uiqEgmoeogGRujVi2gSRNg3z63EguvvsZEROSXFE8sZs+ejX/961/IyMhAq1atMGvWLHTr1q3C9Tdu3IhJkyZh//79SE1NxbPPPotHH33UhxFToDuXW4JdJy8hI98As9UGrUaN2rHhuCY9Hqk1Iso+IDwc55LTcGD/SRT9vAolYTrk166LqOZNcUO31mjUMNWx6pGsAqzedx5HLxTir/P5OJ5dJA/6BaACEKZRIz5Si4QoHSJ1GhSbrABUSIrWISlaj0Y1o9G3dQoaJ8eUu83sQiPO5pYgv8QMq03AYLbCahMAAKsQTqPkir8vdioAahWgUatgE0LGJGyINBkQYTYgxliEWEMhUosuoi5MaB8fhoYJ4ThfaMZpoUOWSo9cM1BiykeB8SJMFpvT9u37EABUQqBJ9il0PrUXnU/9Aa3NCgA4mNoEP3QehPPF8Sha/SdMVhtsf782GrUKseFapCVEomFSVMXvRzW5/f67w2SSs4sH8jCzV1KpgFatgEOHZNJU2dDBf/Pqa0xERH5L0cRi6dKlmDhxImbPno2uXbvigw8+QL9+/XDgwAHUq1evzPrHjx9H//798dBDD+Gzzz7DL7/8grFjx6JmzZq44447FHgGFGjO5ZZg/cHzKDBYkBClgy5MDZPFhpMXi3Gx2ISeLVLKHPicyy3B+j+zUGDWIqFBI0SZSlAj+ywKVx/Bnl+3IPzm9qjTshFOWMKw6GAezls0uGQw43BWESxWmVQA8qDeZLHhfL4RJSYrVCogUh8GrVotpwyI1mHfuTycyyvBqK710Tg5BkeyCvDxLydwsciECK0a53INOJ9vgMVqg9UqIFSATchLGUJAZ7VAbzUh3GyC3mKE3mJGuMWISLMBNQxFiDYWIdxihN5iQpjNCpVaDUOYFtnaCKwu1EFv0SI5JhqxEWHIyy1BvsGMghILypvlI9pYjMY5p9E0+xQ6njmAxJJ8x31/JaXjq1Y9cCQpDRq1CtYik0xA7KECsNgEcotNgAowW20Vvh/VUZX33y25ubIIPTnZYzH7hdRUWT/z559ytKtKeP01JiIiv6VoYjFz5kyMHj0aY8aMAQDMmjULq1evxpw5czBjxowy68+dOxf16tXDrFmzAAAtWrTAjh078NZbbzGxoKuy2QR2nbyEAoMFqTXCofr7sDZCq0FqjXCcyzVg16lLqBUb7uiyUd5jbNpoGKOiEWaz4lJGNo79vAO1Th7G6eOX0MioQseEaKw+a8C16kiU6MJhCNPBpNHCpAmDFSrYVGqoilQIC1MjPkqPmnERyM2zIE8Y0a5ePI7m5OHHnSdQ/8aGWLfzJAou5qN5UgR2nboE48U8xFttsFksMBvNCBNWqK1WhFkt0FnN0FvMjtaHKJMBeqsJ2r/vC7NaHU0KVrUaZk0YjGE6FGnDcTEiFhaN7MqkD1PLhMgKGEvMSIjQID/PBHVRMaLzCxFfVIhYYxFqlBQgpfAiUgpzULsgG7UKLzq93sVheuys2wJb6rXFoaR6UKlUjgSiNHsrh0atghACBQYLkqJtyDdYyrwfvn7/3SKETCyuu062WgQTlQpo3fpysX5ycrlF+l5/jYmIyK8plliYTCbs3LkTzz//vNPyPn36YMuWLeU+ZuvWrejTp4/Tsr59+2L+/Pkwm83QlvNjbjQaYTQaHX/n5+eXWcfnevSQRbBqtWuTgYnyTkcruL67/CQem9WGzgYLuqpk60GZ+wVgEwK2cK1TYtGlxIwbVYBKVfZBQgjYBGDRadDaZEE7CNisNlxntkIFAYjLB85XUqlUgArQ/L1dAUCrUQOqv7er1eA+s03GKgCT1QYhBFRCyO1V8joJqCBU8hoARDmxV0QNIMxqgdZqhs5qgdZqgbrcZ1DW2ZgkHE6qhwPJDbCndlNYNJf/xdhbKOxbst9WQ74fQghoVGrYhMDFIhOSosORkWdATpEJNWP0LsdfkZwiEzLyDUiI0jkOeO1UUCEhSuf+/uxDy164IIubExNl0X8wqlNH/u/aswc4elQW3deoIZOosDAgLMw7rzEREQUMxRKL7OxsWK1WpFwxJGNKSgoyMzPLfUxmZma561ssFmRnZ6N27dplHjNjxgxMnTrVc4F7wq5dnM1WAWEA3B2nJwyAq7MreOMwSeeFbVaHRa1BkTYcRdoIFOlkS8fFiDhcjIxFRkwSSrSX566om5tV5vGlEwv139241Cp5QlwIQKOWy6IKNEgW0TCabbBFFgIxlcyJ4SJbgQHxZ7KREK2DupxEK1YIaAtN7u1PpZIH1SkpQNeucu6KYBo6tzS1GmjTRhZyHzsmi7kvXQIsFvn/zGaDLb8ENc5mIzGy/ELtKr3GREShLixM/t4EAMWLt688CyyEKPfMcGXrl7fcbvLkyZg0aZLj7/z8fKSlpVU1XM/4+ms5dKfF4tr67nyY/GFdb2+7itvNLjRh1b4MROo1iNCW/eiXmK0oMlnRr3VtJEXrHI/5YV8GonQahOvKf0yx0YrOjRKw9ehFROo1yC0yYe/ZPMeBsz0OqwA0fy8TACLC1NBo1HJUJhVgttjQOCUGKhVQbLSiS+NEbDmSg0i9BkIAf2bko8BohUYFlFissNrKFmhXRsC111kXpoJBHYYitQ6qcB3Co6IgwsNh1upwMs8Ei4vbKY9TYgHABiBM5dwdyiYEasboUZwWD6tNoPONDQAP9Mm35pbg4ObjiI0IQ7S+bOtmodGM/BKL6/vTaOTBdliYnO8hVOY5CQ+XQ9A2ayaHHDYa5cVigfVSMf7cdBSx4RrPvMZERCSVc/LcHyn2S5iUlASNRlOmdSIrK6tMq4RdrVq1yl0/LCwMiYmJ5T5Gr9dDr/ezJvd+/ZSOICQl2ATyNhzFL+fy0CQ52ikZFULgcFYh2tSJQ8LNjRx9pRJsAvkbjmLLVR5Tv1tDrN50DFvO5aFhYgR++vU0Co0WpwNpATgVcus0KiRG61E7LhyXis1Ijg2Hrl4NHLlQ5LTNrefy0LhmFA6cvIS/zhfAZhOwWG0oNtmgKpWoeIJaBURo1Y4Rn3QaNdrWiYVKrcb5fAOyw40oMFqrtm2gTNG3ulRSEfZ3UqHVqJFcNw4nI/VoWzcOtdo3Kr/vmptq2QTic/XYV9l72dhz+wt6Gg0QHS0vf6tVVyA+J4yvMRFRiFJsoHWdTocOHTpg7dq1TsvXrl2LLl26lPuYzp07l1l/zZo16NixY7n1FUSlqdUq9G2dgoQoHQ5nFaLAYIbFZkOBwYzDWYVIiNKhT6sUpy4crj4mLEztWO9YTglapsZAo1HDBtlSYRPOX7ZofRj0Wg1sQiCrwAS9VoNasXocuVBU7jaPXChC7bhwJETqYLEJmG0Cmr+7EFW1wae86h6NCjCabRBQITpci6SYcGi1YagdF44InQbhWjU0VdifYxhaAFqN6vJrIS63ulis8o+ESC20YRokRpd9P6qjKu8/uYevMRFRaFMJ4e3K3YotXboUDzzwAObOnYvOnTtj3rx5+PDDD7F//36kp6dj8uTJOHv2LD799FMAcrjZ1q1b45FHHsFDDz2ErVu34tFHH8XixYtdHhUqPz8fcXFxyMvLQ2xsrDefHvmp0vNC2CfvapwcjT6tnOePqMpjXJ3HIjFKhwhdGIpNFpSex+Jq23TMY2Eww2qtfB4LwLmFQIW/xwtQqRxF53al/wmEqVVIiQ1Hn5Yp6NI4CX9mFDj2nV1oRIHBgpwiI0pMFc9jceUytQoI06gQF6FFTLgWJosNucUmlJitsNn+LlXQqJAUrUeL2rG4tl58pe9HdVTl/Sf38DUmIgoe7hw7K5pYAHKCvDfffBMZGRlo3bo13nnnHdx0000AgJEjR+LEiRPYsGGDY/2NGzfiySefdEyQ99xzz7k1QR4TCwKcZ7KubMbrqjwmGGbebpwcg7S/ZxYvvW97vAUGM45dKMSx7CIUGCxokBSJ2L+fV3aRESoVEK7VICJMg9y/46mXEIm4CC2i9HJY24ISC47mFOJSkcnp/phwrUvvR3VU5f0n9/A1JiIKDgGVWPgaEwsiIiIiIte4c+ysWI0FEREREREFDyYWRERERERUbUwsiIiIiIio2phYEBERERFRtTGxICIiIiKiamNiQURERERE1cbEgoiIiIiIqo2JBRERERERVRsTCyIiIiIiqjYmFkREREREVG1MLIiIiIiIqNrClA7A14QQAID8/HyFIyEiIiIi8m/2Y2b7MXRlQi6xKCgoAACkpaUpHAkRERERUWAoKChAXFxcpeuohCvpRxCx2Ww4d+4cYmJioFKpFIkhPz8faWlpOH36NGJjYxWJgZTB9z508b0PTXzfQxff+9AVbO+9EAIFBQVITU2FWl15FUXItVio1WrUrVtX6TAAALGxsUHxgSP38b0PXXzvQxPf99DF9z50BdN7f7WWCjsWbxMRERERUbUxsSAiIiIiompjYqEAvV6PKVOmQK/XKx0K+Rjf+9DF9z408X0PXXzvQ1cov/chV7xNRERERESexxYLIiIiIiKqNiYWRERERERUbUwsiIiIiIio2phY+Njs2bPRoEEDhIeHo0OHDvj555+VDol8YNOmTRg0aBBSU1OhUqmwYsUKpUMiH5gxYwauu+46xMTEIDk5GYMHD8Zff/2ldFjkA3PmzEHbtm0d49h37twZP/zwg9JhkQJmzJgBlUqFiRMnKh0Kedkrr7wClUrldKlVq5bSYfkUEwsfWrp0KSZOnIgXX3wRu3btQrdu3dCvXz+cOnVK6dDIy4qKitCuXTu89957SodCPrRx40aMGzcO27Ztw9q1a2GxWNCnTx8UFRUpHRp5Wd26dfHPf/4TO3bswI4dO3DLLbfg9ttvx/79+5UOjXxo+/btmDdvHtq2bat0KOQjrVq1QkZGhuOyd+9epUPyKY4K5UPXX389rr32WsyZM8exrEWLFhg8eDBmzJihYGTkSyqVCl999RUGDx6sdCjkYxcuXEBycjI2btyIm266SelwyMcSEhLwr3/9C6NHj1Y6FPKBwsJCXHvttZg9ezamT5+O9u3bY9asWUqHRV70yiuvYMWKFdi9e7fSoSiGLRY+YjKZsHPnTvTp08dpeZ8+fbBlyxaFoiIiX8rLywMgDzApdFitVixZsgRFRUXo3Lmz0uGQj4wbNw4DBgxAr169lA6FfOjw4cNITU1FgwYNcO+99+LYsWNKh+RTYUoHECqys7NhtVqRkpLitDwlJQWZmZkKRUVEviKEwKRJk3DjjTeidevWSodDPrB371507twZBoMB0dHR+Oqrr9CyZUulwyIfWLJkCX7//Xds375d6VDIh66//np8+umnaNq0Kc6fP4/p06ejS5cu2L9/PxITE5UOzyeYWPiYSqVy+lsIUWYZEQWf8ePH448//sDmzZuVDoV8pFmzZti9ezdyc3Pxv//9DyNGjMDGjRuZXAS506dP44knnsCaNWsQHh6udDjkQ/369XPcbtOmDTp37oxGjRrhk08+waRJkxSMzHeYWPhIUlISNBpNmdaJrKysMq0YRBRcHn/8cXzzzTfYtGkT6tatq3Q45CM6nQ6NGzcGAHTs2BHbt2/Hv//9b3zwwQcKR0betHPnTmRlZaFDhw6OZVarFZs2bcJ7770Ho9EIjUajYITkK1FRUWjTpg0OHz6sdCg+wxoLH9HpdOjQoQPWrl3rtHzt2rXo0qWLQlERkTcJITB+/HgsX74cP/74Ixo0aKB0SKQgIQSMRqPSYZCX9ezZE3v37sXu3bsdl44dO/5/e/ceFGX1/wH8vSAuy1VFBAQWBETwAmkwCVroFHkl0jISpAVWDTU1DE0z+RKiJIYxk8qIyoKm2UxeGswwB1FwHA01ZxRoSoQwZQQVBVQo3PP7g+H5ui5XN+X3+/V+zTDDc55z+ZxnZ2A/e87zLCIiInDx4kUmFf8izc3NKCsrg4ODQ2+H8txwxeI5WrZsGSIjI+Hn54eAgABkZmaiqqoKsbGxvR0aPWONjY24cuWKdFxRUYGLFy9iwIABUCqVvRgZPUuLFi3C3r178f3338PS0lJasbS2toZCoejl6OhZ+uSTTzBlyhQ4OzujoaEB+/btw4kTJ5CXl9fbodEzZmlpqXcflbm5OWxsbHh/1f9z8fHxCAkJgVKpRE1NDZKTk1FfXw+VStXboT03TCyeo7CwMNy+fRtJSUmorq7GyJEjceTIEbi4uPR2aPSMnTt3DhMnTpSO2/ZaqlQqZGdn91JU9Ky1PVp6woQJOuUajQZRUVHPPyB6bm7evInIyEhUV1fD2toaPj4+yMvLQ3BwcG+HRkTPyJ9//onZs2fj1q1bsLW1xdixY3HmzJl/1fs8fo8FEREREREZjPdYEBERERGRwZhYEBERERGRwZhYEBERERGRwZhYEBERERGRwZhYEBERERGRwZhYEBERERGRwZhYEBERERGRwZhYEBERERGRwZhYEBHR/3murq5IT0/v7TB6VXZ2Nvr16ycdJyYm4oUXXui1eIjo34eJBRFRO6KioiCTyRAbG6t3buHChZDJZIiKinqmMTx69AgpKSnw8vKCQqHAgAEDMHbsWGg0GqnOhAkT8OGHH+q1PXToEGQyGQAgLS0N1tbWePDggV69pqYm9OvXD5s2bXrqOGUyGQ4dOtRlvQsXLiA4OBj9+vWDjY0N5s+fj8bGxnbr3r59G05OTpDJZLh7965U/uSbZ0O0vcYymQwmJiZwc3NDfHw87t+//4/0/yy1l0iFhYXht99+652AiIjAxIKIqEPOzs7Yt28fHj58KJU1NTXhm2++gVKpfObjJyYmIj09HWvXrkVpaSkKCgowb9481NXV9aif9957Dw8fPsT+/fv1zu3fvx8PHjxAZGTkPxV2u27cuIHXXnsNHh4eOHv2LPLy8lBSUtJhcqZWq+Hj4/NMYwKAyZMno7q6GlevXkVycjK2bt2K+Pj4p+pLCIGWlpZ/OMLuUygUGDRoUK+NT0TExIKIqANjxoyBUqnEgQMHpLIDBw7A2dkZo0eP1qmbl5eH8ePHS5/GT58+HeXl5dL5Xbt2wcLCAr///rtUtnjxYnh6enb4CXlubi4WLlyIWbNmYciQIfD19YVarcayZct6NA9bW1uEhIQgKytL71xWVhbeeOMN2Nrattu2uLgYwcHBGDhwIKytrREUFIQLFy5I511dXQEAM2bMgEwmk46fdPjwYZiYmGDLli0YNmwY/P39sWXLFuzfvx9XrlzRqZuRkYG7d+/qvcE/ceIEoqOjce/ePWmlITExUTr/4MEDxMTEwNLSEkqlEpmZmV1eG7lcDnt7ezg7OyM8PBwRERHS6osQAqmpqXBzc4NCoYCvry++++47nXhkMhmOHj0KPz8/yOVyFBUVQavVYsOGDfDw8IBcLodSqcS6deukdtevX0dYWBj69+8PGxsbhIaGorKyUjofFRWFN998E1988QUcHBxgY2ODRYsW4e+//wbQukr1xx9/IC4uTroOQPdWczQaDby9vWFqagovLy9s3bq1y2tERNRdTCyIiDoRHR2ts/UoKysLMTExevXu37+PZcuWobi4GPn5+TAyMsKMGTOg1WoBtK4aTJ06FREREWhpaUFeXh62bduGPXv2wNzcvN2x7e3tcfz4cdTW1ho8D7VajZMnT6KiokIqq6ysREFBAdRqdYftGhoaoFKpUFRUhDNnzmDo0KGYOnUqGhoaALQmHkDrG9bq6mrp+EnNzc3o27cvjIz++29HoVAAAE6dOiWVlZaWIikpCbt27dKpCwCBgYFIT0+HlZUVqqurUV1drZN8pKWlwc/PD7/88gsWLlyIBQsW4Ndff+3uJZJiansD/+mnn0Kj0SAjIwMlJSWIi4vDnDlzcPLkSZ02K1asQEpKCsrKyuDj44NVq1Zhw4YNWLNmDUpLS7F3717Y2dkBaE1+Jk6cCAsLCxQWFuLUqVOwsLDA5MmT8ddff0l9FhQUoLy8HAUFBcjJyUF2djays7MBtCa3Tk5OSEpKkq5Dd2zfvh2rV6/GunXrUFZWhvXr12PNmjXIycnp0TUiIuqQICIiPSqVSoSGhora2lohl8tFRUWFqKysFKampqK2tlaEhoYKlUrVYfuamhoBQFy6dEkqu3PnjnBychILFiwQdnZ2Ijk5udMYSkpKhLe3tzAyMhKjRo0S77//vjhy5IhOnaCgILF06VK9tgcPHhSP/4lvaWkRjo6OIiEhQSpLSEgQjo6OoqWlpYur8V8tLS3C0tJS5ObmSmUAxMGDBzttd/nyZdGnTx+RmpoqmpubxZ07d8TMmTMFALF+/XohhBBNTU3Cx8dH7N69WwghREFBgQAg6urqpH40Go2wtrbW69/FxUXMmTNHOtZqtWLQoEEiIyOjw5jaXuM2Z8+eFTY2NuKdd94RjY2NwtTUVJw+fVqnjVqtFrNnz9aJ79ChQ9L5+vp6IZfLxfbt29sdc+fOnWLYsGFCq9VKZc3NzUKhUIijR49Kcbm4uOi8LrNmzRJhYWE68/3yyy91+n7y2vznP/8Rvr6+0rGzs7PYu3evTpu1a9eKgICAdmMlIuoprlgQEXVi4MCBmDZtGnJycqDRaDBt2jQMHDhQr155eTnCw8Ph5uYGKysrDBkyBABQVVUl1enfvz927tyJjIwMuLu7Y+XKlZ2OPXz4cFy+fBlnzpxBdHQ0bt68iZCQEMydO7fH8zA2NoZKpUJ2dja0Wi2EEMjJyUFUVBSMjY07bFdTU4PY2Fh4enrC2toa1tbWaGxs1JlXd4wYMQI5OTlIS0uDmZkZ7O3t4ebmBjs7O2n8VatWwdvbG3PmzOnx/ADo3JMhk8lgb2+PmpqaTtscPnwYFhYWMDU1RUBAAF555RV89dVXKC0tRVNTE4KDg2FhYSH97Nq1S2eLGwD4+flJv5eVlaG5uRmvvvpqu+OdP38eV65cgaWlpdTngAED0NTUpNPviBEjdF4XBweHLufSmdraWly7dg1qtVpnPsnJyXrzISJ6Wn16OwAiov/tYmJi8MEHHwAAtmzZ0m6dkJAQODs7Y/v27Rg8eDC0Wi1Gjhyps70FAAoLC2FsbIwbN27g/v37sLKy6nRsIyMj+Pv7w9/fH3Fxcfj6668RGRmJ1atXY8iQIbCyssK9e/f02t29e1ev75iYGKSkpOD48eMAWpOe6OjoTsePiopCbW0t0tPT4eLiArlcjoCAAL15dUd4eDjCw8Nx8+ZNmJubQyaTYdOmTVISdvz4cVy6dEm6j0EIAaA1uVu9ejU+++yzTvs3MTHROZbJZNJWtI5MnDgRGRkZMDExweDBg6U+2raM/fDDD3B0dNRpI5fLdY4f38rWtr2rI1qtFi+++CL27Nmjd+7x+1yeZi5djQu0bod66aWXdM51llgSEfUEEwsioi48vv990qRJeudv376NsrIybNu2DS+//DIA3fsG2pw+fRqpqanIzc3FypUrsXjx4h7vbx8+fDgASDd8e3l54ccff9SrV1xcjGHDhumUubu7IygoCBqNBkIITJgwAe7u7p2OV1RUhK1bt2Lq1KkAgGvXruHWrVs6dUxMTPDo0aNuz6HtfoOsrCyYmpoiODgYQOsTqh5/AldxcTFiYmJQVFQkxdm3b98ejdUVc3NzeHh46JUPHz4ccrkcVVVVCAoK6nZ/Q4cOhUKhQH5+frsrS2PGjMG3336LQYMGdZlUdqan18HOzg6Ojo64evUqIiIinnpcIqLOMLEgIuqCsbExysrKpN+f1PZ0n8zMTDg4OKCqqkpvm1NDQwMiIyOxePFiTJkyBUqlEn5+fpg+fTpmzZrV7rhvv/02xo0bh8DAQNjb26OiogKrVq2Cp6cnvLy8ALR+p8bmzZuxaNEizJ8/HwqFAseOHcPOnTuxe/duvT7VajXmzZsHANixY0eXc/fw8MDu3bvh5+eH+vp6LF++XO9TeVdXV+Tn52PcuHGQy+Xo379/u31t3rwZgYGBsLCwwLFjx7B8+XJ8/vnn0pOMnkxy2hIYb29vqY6rqysaGxuRn58PX19fmJmZwczMrMt59JSlpSXi4+MRFxcHrVaL8ePHo76+HqdPn4aFhQVUKlW77UxNTfHxxx9jxYoV6Nu3L8aNG4fa2lqUlJRArVYjIiICGzduRGhoKJKSkuDk5ISqqiocOHAAy5cvh5OTU7fic3V1RWFhId59913I5fJ2t+c9KTExEUuWLIGVlRWmTJmC5uZmnDt3DnV1dT1+0hgRUXt4jwURUTdYWVl1+AmzkZER9u3bh/Pnz2PkyJGIi4vDxo0bdeosXboU5ubmWL9+PYDWPfQbNmxAbGwsrl+/3m6/kyZNQm5uLkJCQuDp6QmVSgUvLy/89NNP6NOn9XMhV1dXFBUVoby8HK+//jr8/f2lJwi1l7C89dZbkMvlkMvlmDlzZpfzzsrKQl1dHUaPHo3IyEgsWbJE77sS0tLScOzYsXYfw/u4n3/+GcHBwRg1ahQyMzOxbds2LFmypMsYHhcYGIjY2FiEhYXB1tYWqampPWrfE2vXrkVCQgJSUlLg7e0tvR5tW7c6smbNGnz00UdISEiAt7c3wsLCpPsjzMzMUFhYCKVSiZkzZ8Lb2xsxMTF4+PBhj1YwkpKSUFlZCXd39w4fFfykuXPnYseOHcjOzsaoUaMQFBSE7OzsLudDRNRdMtG2iZWIiIiIiOgpccWCiIiIiIgMxsSCiIiIiIgMxsSCiIiIiIgMxsSCiIiIiIgMxsSCiIiIiIgMxsSCiIiIiIgMxsSCiIiIiIgMxsSCiIiIiIgMxsSCiIiIiIgMxsSCiIiIiIgMxsSCiIiIiIgMxsSCiIiIiIgM9j8SBedIUOFplwAAAABJRU5ErkJggg==", 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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.optimize import minimize\n", "import os\n", "\n", "\n", "suv_file = \"../data/suv_percentilesSLOthenUWM.mat\"\n", "flags_file = \"../data/flags_combined.mat\"\n", "\n", "suv_data = loadmat(suv_file)\n", "flags_data = loadmat(flags_file)\n", "\n", "suv = suv_data['lung_SUVperc_COMBINED'][0:58,:,:]\n", "flags = flags_data['flags'][0:58, 3]\n", "\n", "\n", "p = 94 # percentile index\n", "X = np.nanmax(suv[:,:,p], axis=1).reshape(-1, 1)\n", "flags = flags.flatten()\n", " \n", "\n", "g = lambda x, mu, sigma, l: np.abs(x)**(l-1) * np.exp(-(((np.abs(x)**l - 1)/l)-mu)**2/(2*sigma**2)) / (np.sqrt(2*np.pi)*sigma)\n", "fun = lambda x, mu, sigma, l: (l-1)*np.log(np.abs(x)) - np.log(sigma*np.sqrt(2*np.pi)) - (((np.abs(x)**l - 1)/l)-mu)**2/(2*sigma**2)\n", "\n", "def safe_divide(numerator, denominator, eps=1e-10):\n", " return numerator / np.clip(denominator, eps, np.inf)\n", "\n", "def myfitter(data, fun, cov=True):\n", " nllf = lambda p: -fun(data, *p).sum()\n", " p0 = (1, 0.6, 0.3)\n", " bounds = ((0, 10), (0.01, 10), (-5, 5))\n", " res = minimize(nllf, p0, bounds=bounds, method=\"L-BFGS-B\")\n", " if not res.success:\n", " raise RuntimeError(\"Fitting failed\")\n", " if not cov:\n", " return res.x, None\n", " return res.x, res.hess_inv.todense()\n", "\n", "\n", "X_NC = X[flags == 0].flatten()\n", "X_AE = X[flags == 1].flatten()\n", "flags_NC = flags[flags == 0]\n", "flags_AE = flags[flags == 1]\n", "\n", "\n", "popt_NC, _ = myfitter(X_NC, fun)\n", "popt_AE, _ = myfitter(X_AE, fun)\n", "\n", "print(\"NC params:\", popt_NC)\n", "print(\"AE params:\", popt_AE)\n", "\n", "P_NC = np.count_nonzero(flags == 0) / len(flags)\n", "P_AE = np.count_nonzero(flags == 1) / len(flags)\n", "\n", "f_XatNC_opt = lambda x: g(x, *popt_NC)\n", "f_XatAE_opt = lambda x: g(x, *popt_AE)\n", "f_X_opt = lambda x: P_NC * f_XatNC_opt(x) + P_AE * f_XatAE_opt(x)\n", "P_AEatX_opt = lambda x: safe_divide(P_AE * f_XatAE_opt(x), f_X_opt(x))\n", "\n", "xs = np.linspace(1e-3, X.max()+1, 200)\n", "yopts = P_AEatX_opt(xs)\n", "\n", "\n", "n_boot = 500\n", "ysamples = []\n", "\n", "for i in range(n_boot):\n", " try:\n", " X_NC_boot = np.random.choice(X_NC, size=len(X_NC), replace=True)\n", " popt_NC_boot, _ = myfitter(X_NC_boot, fun, cov=False)\n", "\n", " X_AE_boot = np.random.choice(X_AE, size=len(X_AE), replace=True)\n", " popt_AE_boot, _ = myfitter(X_AE_boot, fun, cov=False)\n", "\n", " f_XatNC_boot = lambda x: g(x, *popt_NC_boot)\n", " f_XatAE_boot = lambda x: g(x, *popt_AE_boot)\n", " f_X_boot = lambda x: P_NC * f_XatNC_boot(x) + P_AE * f_XatAE_boot(x)\n", " P_AEatX_boot = lambda x: safe_divide(P_AE * f_XatAE_boot(x), f_X_boot(x))\n", "\n", " ysamples.append(P_AEatX_boot(xs))\n", " except Exception as e:\n", " continue # skip failed fits\n", "\n", "ysamples = np.array(ysamples)\n", "\n", "if ysamples.shape[0] < 10:\n", " print(\"Too many failed fits. Try reducing complexity or increasing data.\")\n", " lower = upper = np.full_like(xs, np.nan)\n", "else:\n", " lower = np.percentile(ysamples, 2.5, axis=0)\n", " upper = np.percentile(ysamples, 97.5, axis=0)\n", "\n", "\n", "plt.figure(figsize=(8,5))\n", "plt.scatter(X_NC, flags_NC, label=\"NC\", alpha=0.5)\n", "plt.scatter(X_AE, flags_AE, label=\"AE\", alpha=0.5)\n", "plt.plot(xs, yopts, label=\"Fit model\", color=\"red\")\n", "if not np.all(np.isnan(lower)):\n", " plt.fill_between(xs, lower, upper, color='red', alpha=0.3, label=\"95% CI\")\n", "plt.xlabel(\"Max SUV at 94th Percentile\")\n", "plt.ylabel(\"Probability of Adverse Effect\")\n", "plt.title(\"Bayesian-like model with Bootstrap Confidence Interval\")\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 38, "id": "cbf195fe", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Collecting pymc3\n", " Using cached pymc3-3.11.6-py3-none-any.whl.metadata (15 kB)\n", "Requirement already satisfied: arviz>=0.11.0 in c:\\users\\zahra\\anaconda3\\lib\\site-packages (from pymc3) (0.21.0)\n", "Requirement already satisfied: cachetools>=4.2.1 in c:\\users\\zahra\\anaconda3\\lib\\site-packages (from pymc3) (5.3.3)\n", "Collecting deprecat (from pymc3)\n", " Using cached deprecat-2.1.3-py2.py3-none-any.whl.metadata (1.6 kB)\n", "Requirement already satisfied: dill in c:\\users\\zahra\\anaconda3\\lib\\site-packages (from pymc3) (0.3.8)\n", "Collecting fastprogress>=0.2.0 (from pymc3)\n", " Using cached fastprogress-1.0.3-py3-none-any.whl.metadata (5.6 kB)\n", "Collecting numpy<1.22.2,>=1.15.0 (from pymc3)\n", " Using cached numpy-1.22.1.zip (11.4 MB)\n", " Installing build dependencies: started\n", " Installing build dependencies: still running...\n", " Installing build dependencies: finished with status 'done'\n", " Getting requirements to build wheel: started\n", " Getting requirements to build wheel: finished with status 'error'\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " error: subprocess-exited-with-error\n", " \n", " × Getting requirements to build wheel did not run successfully.\n", " │ exit code: 1\n", " ╰─> [33 lines of output]\n", " Traceback (most recent call last):\n", " File \"C:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\pip\\_vendor\\pyproject_hooks\\_in_process\\_in_process.py\", line 353, in \n", " main()\n", " File \"C:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\pip\\_vendor\\pyproject_hooks\\_in_process\\_in_process.py\", line 335, in main\n", " json_out['return_val'] = hook(**hook_input['kwargs'])\n", " ^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n", " File \"C:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\pip\\_vendor\\pyproject_hooks\\_in_process\\_in_process.py\", line 112, in get_requires_for_build_wheel\n", " backend = _build_backend()\n", " ^^^^^^^^^^^^^^^^\n", " File \"C:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\pip\\_vendor\\pyproject_hooks\\_in_process\\_in_process.py\", line 77, in _build_backend\n", " obj = import_module(mod_path)\n", " ^^^^^^^^^^^^^^^^^^^^^^^\n", " File \"C:\\Users\\zahra\\anaconda3\\Lib\\importlib\\__init__.py\", line 90, in import_module\n", " return _bootstrap._gcd_import(name[level:], package, level)\n", " ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n", " File \"\", line 1387, in _gcd_import\n", " File \"\", line 1360, in _find_and_load\n", " File \"\", line 1310, in _find_and_load_unlocked\n", " File \"\", line 488, in _call_with_frames_removed\n", " File \"\", line 1387, in _gcd_import\n", " File \"\", line 1360, in _find_and_load\n", " File \"\", line 1331, in _find_and_load_unlocked\n", " File \"\", line 935, in _load_unlocked\n", " File \"\", line 995, in exec_module\n", " File \"\", line 488, in _call_with_frames_removed\n", " File \"C:\\Users\\zahra\\AppData\\Local\\Temp\\pip-build-env-pniegcuk\\overlay\\Lib\\site-packages\\setuptools\\__init__.py\", line 16, in \n", " import setuptools.version\n", " File \"C:\\Users\\zahra\\AppData\\Local\\Temp\\pip-build-env-pniegcuk\\overlay\\Lib\\site-packages\\setuptools\\version.py\", line 1, in \n", " import pkg_resources\n", " File \"C:\\Users\\zahra\\AppData\\Local\\Temp\\pip-build-env-pniegcuk\\overlay\\Lib\\site-packages\\pkg_resources\\__init__.py\", line 2172, in \n", " register_finder(pkgutil.ImpImporter, find_on_path)\n", " ^^^^^^^^^^^^^^^^^^^\n", " AttributeError: module 'pkgutil' has no attribute 'ImpImporter'. Did you mean: 'zipimporter'?\n", " [end of output]\n", " \n", " note: This error originates from a subprocess, and is likely not a problem with pip.\n", "error: subprocess-exited-with-error\n", "\n", "× Getting requirements to build wheel did not run successfully.\n", "│ exit code: 1\n", "╰─> See above for output.\n", "\n", "note: This error originates from a subprocess, and is likely not a problem with pip.\n" ] } ], "source": [ "!pip install pymc3\n" ] }, { "cell_type": "code", "execution_count": null, "id": "79080223", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "popt_NC: [5.28692634 2.06426605 1. ]\n", "popt_AE: [5.45406231 1.27809753 1. ]\n", "pcov_NC: [[0.1 0. 0. ]\n", " [0. 0.1 0. ]\n", " [0. 0. 0.1]]\n", "pcov_AE: [[0.1 0. 0. ]\n", " [0. 0.1 0. ]\n", " [0. 0. 0.1]]\n", "faulty: 0.0\n" ] }, { "data": { "image/png": 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import os\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "figsdir = \"./figs/\"\n", "\n", "\n", "def myfitter(X, fun, return_cov=True):\n", " \n", " p = np.array([np.mean(X), np.std(X), 1.0])\n", " pcov = np.eye(3) * 0.1 #covariance matrix\n", " return p, pcov\n", "\n", "def fun(x, mu, sigma, l):\n", "\n", " return np.exp(-((x - mu)**2) / (2*sigma**2))\n", "\n", "def g(x, mu, sigma, l):\n", " return fun(x, mu, sigma, l)\n", "\n", "def load_example_data():\n", " suv_dict = {\n", " 'lung_SUVperc_COMBINED': np.abs(np.random.randn(58, 10, 3)) * 3 # some positive random SUV values\n", " }\n", " flags_dict = {\n", " 'flags': np.random.choice([0, 1], size=(58, 6)) # binary flags for 6 organs\n", " }\n", " return suv_dict, flags_dict\n", "\n", "def gen_plots(pert, prefix, alpha, title, suv_dict, flags_dict, bootstrapping=False):\n", "\n", " organ = \"lung\" # fixed organ\n", "\n", " suv = suv_dict[organ + '_SUVperc_COMBINED'][0:58,:,:]\n", " idx = 3 # lung index\n", " \n", " flags = flags_dict['flags'][0:58, idx]\n", "\n", " # choose percentile of interest (for lung and bowel 95, for thyroid 75),\n", " X = np.nanmax(suv[:, :, pert - 1], axis=1).reshape(-1,1)\n", "\n", " # extracting X associated to NC and AE\n", " X_NC = X[flags == 0]\n", " X_AE = X[flags == 1]\n", " # and flags associated to NC and AE\n", " flags_NC = flags[flags==0]\n", " flags_AE = flags[flags==1]\n", "\n", " popt_NC, pcov_NC = myfitter(X_NC, fun)\n", " popt_AE, pcov_AE = myfitter(X_AE, fun)\n", "\n", " # print optimization results\n", " print(\"popt_NC:\", popt_NC)\n", " print(\"popt_AE:\", popt_AE)\n", "\n", " print(\"pcov_NC:\", pcov_NC)\n", " print(\"pcov_AE:\", pcov_AE)\n", "\n", " popt = np.concatenate((popt_NC, popt_AE))\n", "\n", " Nsamples = 10**4\n", "\n", " if bootstrapping:\n", " rng = np.random.default_rng()\n", " R = lambda X: X[rng.integers(len(X), size=len(X))]\n", " ps = np.array([np.concatenate((myfitter(R(X_NC), fun, False), myfitter(R(X_AE), fun, False))) for _ in range(Nsamples)])\n", " else:\n", "\n", "\n", " Z = np.zeros((3, 3))\n", " CovMatrix = np.bmat([[pcov_NC, Z], [Z, pcov_AE]])\n", "\n", " ps = np.random.multivariate_normal(popt, CovMatrix, Nsamples)\n", "\n", "\n", "\n", " mask = (ps[:,1]>0) & (ps[:,4]>0)\n", " ps = ps[mask]\n", " print(\"faulty:\", np.count_nonzero(~mask)/len(mask))\n", "\n", "\n", " P_NC = np.count_nonzero(flags == 0)/len(flags) # Prob(Y = NC)\n", " P_AE = np.count_nonzero(flags == 1)/len(flags) # Prob(Y = AE)\n", "\n", "\n", " f_XatNC_opt = lambda x: g(x, popt_NC[0], popt_NC[1], popt_NC[2]) # f(x | NC)\n", " f_XatAE_opt = lambda x: g(x, popt_AE[0], popt_AE[1], popt_AE[2]) # f(x | AE)\n", "\n", "\n", " f_X_opt = lambda x: P_NC*f_XatNC_opt(x) + P_AE*f_XatAE_opt(x)\n", "\n", "\n", " P_AEatX_opt = lambda x: P_AE*f_XatAE_opt(x)/f_X_opt(x)\n", "\n", "\n", " def P_AEatX(x, p): \n", " mu_NC, s_NC, l_NC, mu_AE, s_AE, l_AE = p\n", " tmp = ((x**l_AE - 1)/l_AE - mu_AE)**2/s_AE**2 - ((x**l_NC - 1)/l_NC - mu_NC)**2/s_NC**2\n", "\n", " if tmp > 300: \n", " return 0\n", " elif tmp < -300:\n", " return 1\n", "\n", " return 1/(1 + P_NC/P_AE*s_AE/s_NC*np.abs(x)**(l_NC-l_AE)*np.exp(0.5*tmp))\n", "\n", "\n", " P_AEatX_opt = lambda x: P_AEatX(x, popt)\n", "\n", " xs = np.linspace(1e-3, np.max(X) + 2, 200)\n", "\n", " ys = np.array([np.fromiter(map(lambda p: P_AEatX(x, p), ps), float) for x in xs])\n", " yopts = np.array([P_AEatX_opt(x) for x in xs])\n", "\n", " mys = np.median(ys, axis=1)\n", " yerr_min = np.quantile(ys, alpha/2, axis=1)\n", " yerr_max = np.quantile(ys, 1-alpha/2, axis=1)\n", "\n", " plt.clf()\n", " plt.xlabel(r\"$x = max_{visit} SUV(visit, p)$\")\n", " plt.ylabel(\"P(X=x| NC)\")\n", " plt.hist(X_NC,label=\"NC\", density=True) \n", " plt.plot(xs, f_XatNC_opt(xs), label=\"NC fit\") \n", " plt.legend()\n", " plt.tight_layout()\n", " plt.show()\n", "\n", " plt.clf()\n", " plt.xlabel(r\"$x = max_{visit} SUV(visit, p)$\")\n", " plt.ylabel(\"P(X=x| AE)\")\n", " plt.hist(X_AE,label=\"AE\", density=True) \n", " plt.plot(xs, f_XatAE_opt(xs), label=\"AE fit\") \n", " plt.legend()\n", " plt.tight_layout()\n", " plt.show()\n", "\n", " plt.clf()\n", " plt.xlabel(r\"$x = max_{visit} SUV(visit, p)$\")\n", " plt.ylabel(\"P(AE|X=x)\")\n", " plt.scatter(X_NC, flags_NC, label=\"NC\") \n", " plt.scatter(X_AE, flags_AE, label=\"AE\")\n", "\n", " plt.plot(xs, yopts, label=\"fit model\", color=\"red\")\n", " plt.plot(xs, mys, label=\"median\", color=\"blue\")\n", "\n", " plt.fill_between(xs, yerr_min, yerr_max, alpha=0.5, label=\"prediction interval\")\n", "\n", " plt.title(title+\": \" + organ)\n", " plt.legend(loc = 'center right')\n", " plt.tight_layout()\n", "\n", " if not os.path.exists(figsdir): os.makedirs(figsdir)\n", " plt.savefig(os.path.join(figsdir, prefix + \"_\" + organ + \".pdf\"))\n", " plt.show()\n", "\n", "\n", "\n", "if __name__ == \"__main__\":\n", " suv_dict, flags_dict = load_example_data()\n", " gen_plots(\n", " pert=1,\n", " prefix=\"lung_test\",\n", " alpha=0.05,\n", " title=\"Lung SUV Analysis\",\n", " suv_dict=suv_dict,\n", " flags_dict=flags_dict,\n", " bootstrapping=False\n", " )\n" ] } ], "metadata": { "kernelspec": { "display_name": "base", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 5 }