{ "cells": [ { "cell_type": "markdown", "id": "be915d56-9a8a-422b-9da4-d7ca37dd0b85", "metadata": { "id": "be915d56-9a8a-422b-9da4-d7ca37dd0b85" }, "source": [ "# Bayesian modelling with full pars" ] }, { "cell_type": "markdown", "id": "6fa3ccb1-05c0-4ab9-a74a-a4e20d1e38f8", "metadata": { "id": "6fa3ccb1-05c0-4ab9-a74a-a4e20d1e38f8" }, "source": [ "## Data & common" ] }, { "cell_type": "code", "execution_count": 1, "id": "ee1ce969-7f96-4ca9-882e-866805bd316c", "metadata": {}, "outputs": [], "source": [ "choice_setup = 1 # 0 for MD, 1 for MH" ] }, { "cell_type": "code", "execution_count": 2, "id": "uq21BzGM7YHZ", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 26515, "status": "ok", "timestamp": 1715067825951, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -120 }, "id": "uq21BzGM7YHZ", "outputId": "fed613c4-2be9-49ba-bdc5-0a09399dc2fd" }, "outputs": [], "source": [ "if choice_setup == 0:\n", " from google.colab import drive\n", " drive.mount('/content/drive')" ] }, { "cell_type": "code", "execution_count": 3, "id": "0de55416", "metadata": { "executionInfo": { "elapsed": 1711, "status": "ok", "timestamp": 1715067832083, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -120 }, "id": "0de55416", "tags": [] }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import scipy\n", "from scipy import io\n", "from scipy import stats\n", "\n", "import os\n", "import numdifftools as nd" ] }, { "cell_type": "code", "execution_count": 4, "id": "71b466ba", "metadata": { "executionInfo": { "elapsed": 305, "status": "ok", "timestamp": 1715067835069, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -120 }, "id": "71b466ba", "tags": [] }, "outputs": [], "source": [ "wd = os.getcwd() # working directory\n", "\n", "topic = \"bayes_f\"\n", "\n", "if choice_setup == 0:\n", " #data_path = \"/home/marija/maki/\"\n", " data_path = \"drive/MyDrive/maki_slovenija/data/\"\n", " figsdir = f\"drive/MyDrive/maki_slovenija/figs_{topic}/\" # figure directory\n", " figsext = \".eps\" # figure extension\n", "elif choice_setup == 1:\n", " data_path = \"../data\"\n", " figsdir = f\"./figs/{topic}\" # figure directory\n", " figsext = \".pdf\" # figure extension\n", " \n", "\n", "if not os.path.exists(figsdir): os.makedirs(figsdir)\n", " \n", "suv_filename = os.path.join(data_path, \"suv_percentilesSLOthenUWM.mat\")\n", "flags_filename= os.path.join(data_path, \"flags_combined.mat\")\n", "normal_range_filename = os.path.join(data_path, \"normal_range.mat\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "c72c613c", "metadata": { "executionInfo": { "elapsed": 2756, "status": "ok", "timestamp": 1715067840744, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -120 }, "id": "c72c613c", "tags": [] }, "outputs": [], "source": [ "\"\"\"\n", "Loading all data\n", "\"\"\"\n", "suv_dict = io.loadmat(suv_filename)\n", "flags_dict = io.loadmat(flags_filename)\n", "normal_range_dict = io.loadmat(normal_range_filename)" ] }, { "cell_type": "markdown", "id": "8c4a5c84-c72a-4b48-a92c-7e25f5b752fc", "metadata": { "id": "8c4a5c84-c72a-4b48-a92c-7e25f5b752fc" }, "source": [ "## Results" ] }, { "cell_type": "code", "execution_count": 6, "id": "8262d64c", "metadata": { "executionInfo": { "elapsed": 528, "status": "ok", "timestamp": 1715067865707, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -120 }, "id": "8262d64c", "tags": [] }, "outputs": [], "source": [ "def gen_plots(pert, organ, dist, prefix, alpha, title = \"\", bootstrapping = \"nonparam\", Nsamples = 10**3):\n", " \n", " eps = 1e-20\n", " \n", " suv = suv_dict[organ + '_SUVperc_COMBINED'][0:58,:,:]\n", "\n", " if organ == \"lung\":\n", " idx = 3\n", " elif organ == \"bowel\":\n", " idx = 1\n", " elif organ == \"thyroid\":\n", " idx = 5\n", " else:\n", " print(\"This organ is not supported\")\n", " return\n", "\n", " # distributions and log of them of a single group\n", " if dist == \"trunc_Gauss\":\n", " # create a custom function (\"truncated\" Gaussian distribution)\n", " f_group = lambda x, mu, sigma: np.exp(-(x-mu)**2/(2*sigma**2))*np.sqrt(2/np.pi)/(sigma*(1 + scipy.special.erf(mu/(np.sqrt(2)*sigma)))) # distr\n", " lf_group = lambda x, mu, sigma: -(x-mu)**2/(2*sigma**2) + np.log(2/np.pi)/2 - np.log(sigma*(1 + scipy.special.erf(mu/(np.sqrt(2)*sigma)))) # log (distr)\n", " elif dist == \"Gauss\":\n", " f_group = lambda x, mu, sigma: np.exp(-(x-mu)**2/(2*sigma**2))/(sigma*np.sqrt(2*np.pi)) # distr\n", " lf_group = lambda x, mu, sigma: -(x-mu)**2/(2*sigma**2) - np.log(sigma*np.sqrt(2*np.pi)) # log (distr)\n", " elif dist == \"log_normal\":\n", " f_group = lambda x, mu, sigma: np.exp(-(np.log(x)-mu)**2/(2*sigma**2))/(x*sigma*np.sqrt(2*np.pi)) # distr\n", " lf_group = lambda x, mu, sigma: -(np.log(x) - mu)**2/(2*sigma**2) - np.log(x*sigma*np.sqrt(2*np.pi)) # log (distr)\n", " else:\n", " print(\"This distribution is not supported\")\n", " return\n", " \n", " # cond. probability : prob(y|x), y in {0,1} \n", " def model(x, y, p, P0, P1):\n", " \n", " f0 = lambda x,p: P0*f_group(x, p[0], p[1])\n", " f1 = lambda x,p: P1*f_group(x, p[2], p[3])\n", "\n", " return f1(x,p)/(f0(x,p) + f1(x,p) + eps) if y == 0 else f0(x,p)/(f0(x,p) + f1(x,p) + eps) \n", " \n", " # fitting parameter of a group \n", " def fit_group(i, X, Y, p01, bnds1):\n", "\n", " Xi = X[Y == i]\n", " nllf_group = lambda q: -np.sum(lf_group(Xi, q[0], q[1]))\n", "\n", " # minimization\n", " return scipy.optimize.minimize(nllf_group, p0_group, bounds = bnds_group)\n", " \n", " # fitting cond. prob\n", " def fit(X, Y, p0, bnds, method = \"local\", ext = False):\n", " \n", " P1 = np.sum(Y)/len(Y) # = Prob(y = 1)\n", " P0 = 1 - P1 # = Prob(y = 0) \n", " \n", " f0 = lambda x, p: P0*f_group(x, p[0], p[1]) # group y = 0\n", " f1 = lambda x, p: P1*f_group(x, p[2], p[3]) # group y = 1\n", "\n", " # prob(y|x), y in {0,1}\n", " f = lambda x, y, p: f1(x,p)/(f0(x,p) + f1(x,p) + eps) if y == 0 else f0(x,p)/(f0(x,p) + f1(x,p) + eps)\n", " \n", " # negative log likelikehod for model at parameters\n", " nllf = lambda p: -np.sum([np.log(f(x, y, p) + eps) for x, y in zip(X,Y)])\n", "\n", " # minimization\n", " if method == \"global\":\n", " res = scipy.optimize.differential_evolution(nllf, bounds = bnds)\n", " elif method == \"local\":\n", " res = scipy.optimize.minimize(nllf, p0, bounds = bnds, method=\"L-BFGS-B\")\n", " else:\n", " res = None\n", " \n", " if not ext: return res\n", " \n", " return (res.x, res.fun, nd.Gradient(nllf)(res.x), nd.Hessian(nllf)(res.x)) \n", " \n", " \n", " # choose percentile of interest\n", " X = np.nanmax(suv[:, :, pert - 1], axis = 1)\n", " Y = flags_dict['flags'][:len(X), idx]\n", " \n", " # initial estimate of parameter and bound for a single group\n", " p0_group = [1, 0.6]\n", " bnds_group = [(0, 10), (0.1, 4)]\n", "\n", " # finding initial conditions\n", " p0 = []\n", " for i in range(2):\n", " res = fit_group(i, X, Y, p0_group, bnds_group) \n", " if res.success:\n", " p0 += list(res.x)\n", " else:\n", " print(\"Failed to find initial conditions\")\n", " return\n", " p0 = np.array(p0)\n", " print(\"p0:\", p0)\n", " \n", " # fitting the model to data\n", " bnds = bnds_group*2\n", " res = fit(X, Y, p0, bnds, method = 'global', ext = True)\n", " if res is None:\n", " print(\"Initial fit did not succeed\")\n", " return\n", " else:\n", " popt = res[0]\n", " pcov = np.linalg.inv(res[3])\n", "\n", " # print optimization results\n", " for lab, r in zip([\"p_opt\", \"L_opt\", \"grad_opt\", \"hess_opt\"], res): print(lab,\":\", r)\n", " print(\"pcov:\", pcov)\n", " print(\"hess_evals:\", np.linalg.eigvals(res[3]))\n", " \n", " if bootstrapping == \"nonparam\": # parameters via non-parametric bootstrapping method\n", " rng = np.random.default_rng()\n", " n = len(Y)\n", " \n", " ps = []\n", " for _ in range(Nsamples):\n", " # a bit restricted sampling with replacemen\n", " idx = rng.integers(n, size = n)\n", " while np.sum(Y[idx]) in [0, n]: \n", " idx = rng.integers(n, size = n)\n", "\n", " res = fit(X[idx], Y[idx], popt, bnds)\n", " if res.success: ps.append(res.x)\n", " ps = np.array(ps)\n", " \n", " elif bootstrapping == \"param\": # generate parameters from MVN distribution\n", " ps = np.random.multivariate_normal(popt, pcov, Nsamples)\n", " else:\n", " print(\"This boostrapping is not supported\")\n", " return\n", " \n", " print(\"faulty bs:\", 1 - len(ps)/Nsamples)\n", "\n", " # correct for outliers, both sigmas must be positive\n", " mask = (ps[:,1] > 0) & (ps[:,3] > 0)\n", " ps = ps[mask]\n", "\n", " print(\"outliers:\", np.count_nonzero(mask)/len(mask))\n", "\n", " # selected x values at which model and CI are computed\n", " Xs = np.linspace(1e-3, X.max()+1, 200)\n", "\n", " # generate values of the optimal model\n", " P1 = np.sum(Y)/len(Y) # = Prob(y=1)\n", " P0 = 1 - P1 # = Prob(y=1) \n", " Popt = model(Xs, 1, popt, P0, P1)\n", " \n", " # doing statistics on values of model values \n", " Ps = np.array([model(Xs, 1, p, P0, P1) for p in ps])\n", " Pmed = np.median(Ps, axis = 0)\n", " LL = np.quantile(Ps, alpha/2, axis = 0)\n", " UL = np.quantile(Ps, 1 - alpha/2, axis = 0)\n", "\n", " # generate plots\n", " plt.clf()\n", " fs = 16\n", " params = {'font.size': fs, 'axes.labelsize': fs, 'axes.titlesize':fs, \n", " 'legend.fontsize': fs, 'xtick.labelsize': fs, 'ytick.labelsize': fs}\n", " \n", " plt.rcParams.update(params)\n", " fig = plt.figure(figsize = (7, 5))\n", "\n", " plt.xlabel(f\"$x = \\\\mathrm{{max}}(SUV(visit,p = {{{pert}}} \\\\%))$\")\n", " plt.ylabel(r\"$P(Y = AE|X = x)$\")\n", " \n", " # plot input data\n", " for i, lab in zip(np.arange(2), [\"NC\", \"AE\"]):\n", " plt.scatter(X[Y == i], Y[Y == i], label = lab, zorder = 2.5)\n", "\n", " # plot optimal model\n", " plt.plot(Xs, Popt, label = \"fit model\", color = \"red\", zorder = 3)\n", " \n", " # plot median\n", " plt.plot(Xs, Pmed, label = \"median\", color = \"green\", zorder = 4)\n", " \n", " # plot CI\n", " #plt.fill_between(xs, yerr_min, yerr_max, color='green', alpha=0.2, label=\"prediction interval\")\n", " plt.fill_between(Xs, LL, UL, color = 'xkcd:beige', alpha = 0.5, \n", " label = \"prediction interval\")\n", "\n", " if title != \"\":\n", " plt.title(title + \":\" + organ)\n", " plt.legend(loc = 'center right')\n", " \n", " plt.text(0.1, 0.93, \"(\" + organ + \")\", fontsize = 16, horizontalalignment = 'center',\n", " verticalalignment = 'center', transform = fig.transFigure)\n", "\n", " fs = 10\n", " plt.legend(loc = 'center right', fancybox = True, fontsize = fs, framealpha = 0.5)\n", " plt.tight_layout()\n", " \n", " basename = prefix + \"_\"+ dist + \"_\" + organ + figsext\n", " plt.savefig(os.path.join(figsdir, basename))\n", " plt.show()\n" ] }, { "cell_type": "markdown", "id": "a974ab00-e992-4de8-8a9f-431264fe376a", "metadata": { "id": "a974ab00-e992-4de8-8a9f-431264fe376a" }, "source": [ "### Non-parametric boostrapping: sampling with replacement (primary choice)" ] }, { "cell_type": "code", "execution_count": 7, "id": "00ea6e5e-5e09-45f1-a8e3-0499261ac781", "metadata": {}, "outputs": [], "source": [ "alpha = 0.05" ] }, { "cell_type": "markdown", "id": "e79e7dc7-c3b3-46bc-a11b-fc44c3b2f305", "metadata": {}, "source": [ "#### Lung" ] }, { "cell_type": "code", "execution_count": 8, "id": "BDoKoZ0dMekG", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "executionInfo": { "elapsed": 75311, "status": "ok", "timestamp": 1715067952192, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -120 }, "id": "BDoKoZ0dMekG", "outputId": "4498b0d8-e711-414b-9f12-2ea62281d491" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p0: [1.30761056 0.25845619 2.45119943 0.8708103 ]\n", "p_opt : [3.37622739 0.47726214 3.87160801 2.1380391 ]\n", "L_opt : 6.684329291207809\n", "grad_opt : [-2.57132342e-07 4.40154480e-05 2.04451824e-08 -4.65991871e-07]\n", "hess_opt : [[ 8.57388458e+01 -2.80631829e+02 -5.51718983e+00 2.84474026e-01]\n", " [-2.80631829e+02 9.76226554e+02 1.80179804e+01 -1.72887109e+00]\n", " [-5.51718983e+00 1.80179804e+01 3.57643077e-01 -7.72487811e-03]\n", " [ 2.84474026e-01 -1.72887109e+00 -7.72487811e-03 5.07568275e-02]]\n", "pcov: [[ 4.61826035e+04 -2.37929114e+03 8.27684889e+05 -2.13911595e+05]\n", " [-2.37929114e+03 1.22609490e+02 -4.26431787e+04 1.10213582e+04]\n", " [ 8.27684889e+05 -4.26431787e+04 1.48338514e+07 -3.83376438e+06]\n", " [-2.13911595e+05 1.10213582e+04 -3.83376438e+06 9.90850688e+05]]\n", "hess_evals: [1.05762572e+03 4.70684897e+00 4.12279963e-02 6.30080702e-08]\n", "faulty bs: 0.0\n", "outliers: 1.0\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "p0: [0.25012563 0.18862822 0.84495162 0.3054373 ]\n", "p_opt : [1.13717342 0.15606513 1.11856938 0.22811963]\n", "L_opt : 6.038901041393533\n", "grad_opt : [-1.41173335e-05 -6.44260953e-05 1.04211495e-05 -2.85686206e-06]\n", "hess_opt : [[ 864.05838091 -3284.23432045 -392.56740769 909.34320568]\n", " [-3284.23432045 13812.29011859 1492.75306965 -3885.99080493]\n", " [ -392.56740769 1492.75306965 178.4042889 -413.66071743]\n", " [ 909.34320568 -3885.99080493 -413.66071743 1097.91522843]]\n", "pcov: [[-1880.93461545 -194.78480354 -3919.56807983 -608.32400286]\n", " [ -194.78480354 -20.12545546 -405.95885796 -62.85579055]\n", " [-3919.56807983 -405.95885796 -8167.63699218 -1267.81223952]\n", " [ -608.32400286 -62.85579055 -1267.81223952 -196.30372204]]\n", "hess_evals: [ 1.58520843e+04 9.87050212e+01 -9.74132568e-05 1.87879941e+00]\n", "faulty bs: 0.0\n", "outliers: 1.0\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 8min 38s, sys: 2.03 s, total: 8min 40s\n", "Wall time: 8min 38s\n" ] } ], "source": [ "%%time\n", "gen_plots(95, \"lung\", \"Gauss\", \"Bayes_bs\", alpha, bootstrapping = \"nonparam\")\n", "gen_plots(95, \"lung\", \"log_normal\", \"Bayes_bs\", alpha, bootstrapping = \"nonparam\" )" ] }, { "cell_type": "markdown", "id": "e2b16dac-0952-40ad-b991-12dc7b9d8745", "metadata": {}, "source": [ "#### Bowel" ] }, { "cell_type": "code", "execution_count": 9, "id": "d3bea1f3-a899-44aa-b410-32b0e3163a7e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p0: [3.29019865 1.61425315 4.86590897 2.14788649]\n", "p_opt : [10. 0.86955244 9.65768456 0.89870106]\n", "L_opt : 19.433587141111335\n", "grad_opt : [-7.72691836e-01 3.55036249e-05 9.05604138e-06 -1.39849061e-04]\n", "hess_opt : [[ 261.22341608 -1898.69682464 -232.92440326 1536.34329865]\n", " [ -1898.69682464 14316.79555284 1684.12478244 -11636.84229256]\n", " [ -232.92440326 1684.12478244 208.56488075 -1365.57431978]\n", " [ 1536.34329865 -11636.84229256 -1365.57431978 9496.06892572]]\n", "pcov: [[4.3654701 0.50695667 3.84970733 0.46857027]\n", " [0.50695667 0.0800681 0.42845903 0.07771353]\n", " [3.84970733 0.42845903 3.49324392 0.40455922]\n", " [0.46857027 0.07771353 0.40455922 0.07770699]]\n", "hess_evals: [2.42390236e+04 2.98068578e+01 1.26424106e-01 1.36958898e+01]\n", "faulty bs: 0.0\n", "outliers: 1.0\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "p0: [1.11554265 0.35077766 1.49665276 0.40295539]\n", "p_opt : [4.89635051 0.48180372 4.88597966 0.52252535]\n", "L_opt : 16.908377501084644\n", "grad_opt : [-0.00063198 0.00435291 0.00053099 -0.00381297]\n", "hess_opt : [[ 1088.83857569 -7967.05782699 -923.18608081 6188.51248881]\n", " [ -7967.05782699 59141.4218707 6754.0697283 -45990.21930849]\n", " [ -923.18608081 6754.0697283 782.78677103 -5246.53682272]\n", " [ 6188.51248881 -45990.21930849 -5246.53682272 35702.93633522]]\n", "pcov: [[ 1.41785017e+01 -4.11857255e-02 1.65365782e+01 -8.06154625e-02]\n", " [-4.11857255e-02 -9.71401779e-03 -5.15165321e-02 -1.29444483e-02]\n", " [ 1.65365782e+01 -5.15165321e-02 1.93702793e+01 -8.62448315e-02]\n", " [-8.06154625e-02 -1.29444483e-02 -8.62448315e-02 -1.53464942e-02]]\n", "hess_evals: [ 9.67261044e+04 2.76898285e+01 2.98382565e-02 -3.78404836e+01]\n", "faulty bs: 0.0\n", "outliers: 1.0\n" ] }, { "data": { "text/plain": [ "
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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 7min 43s, sys: 1.63 s, total: 7min 45s\n", "Wall time: 7min 43s\n" ] } ], "source": [ "%%time\n", "gen_plots(95, \"bowel\", \"Gauss\", \"Bayes_bs\", alpha, bootstrapping = \"nonparam\")\n", "gen_plots(95, \"bowel\", \"log_normal\", \"Bayes_bs\", alpha, bootstrapping = \"nonparam\")" ] }, { "cell_type": "markdown", "id": "e9276cee-096a-40ac-8011-74b87c64b9a9", "metadata": {}, "source": [ "#### Thyroid" ] }, { "cell_type": "code", "execution_count": 10, "id": "6463d837-a8f8-406b-9403-4fccbe0a5594", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p0: [1.93132713 0.86265893 3.0787539 0.80272578]\n", "p_opt : [4.45459316 0.68363747 4.2213125 1.40414773]\n", "L_opt : 13.600206631579281\n", "grad_opt : [ 7.84229341e-05 -2.58121853e-04 -1.45537237e-05 5.74926272e-06]\n", "hess_opt : [[ 72.25463708 -194.46440301 -15.27403784 8.54854779]\n", " [-194.46440301 627.00143743 40.94640613 -34.2504684 ]\n", " [ -15.27403784 40.94640613 3.23743712 -1.8266683 ]\n", " [ 8.54854779 -34.2504684 -1.8266683 2.39562843]]\n", "pcov: [[-8.36012664e+03 -8.55088353e+02 -3.28081715e+04 -7.40927983e+03]\n", " [-8.55088353e+02 -8.74046362e+01 -3.35612163e+03 -7.57382515e+02]\n", " [-3.28081715e+04 -3.35612163e+03 -1.28747057e+05 -2.90799206e+04]\n", " [-7.40927983e+03 -7.57382515e+02 -2.90799206e+04 -6.56215807e+03]]\n", "hess_evals: [ 6.92950816e+02 1.17698289e+01 -6.95590391e-06 1.68502611e-01]\n", "faulty bs: 0.0\n", "outliers: 1.0\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "p0: [0.59700666 0.32538502 1.08690741 0.28239884]\n", "p_opt : [1.45317325 0.14786306 1.44591103 0.18326081]\n", "L_opt : 15.614445404600474\n", "grad_opt : [ 1.26825193e-07 -2.80784032e-04 -1.52269378e-05 -3.60969760e-05]\n", "hess_opt : [[ 2663.16112197 -10073.22557636 -1746.03249271 4982.28988642]\n", " [-10073.22557636 46436.84474913 6477.22437675 -23219.92799989]\n", " [ -1746.03249271 6477.22437675 1167.11192361 -3302.59440408]\n", " [ 4982.28988642 -23219.92799989 -3302.59440408 11737.39248679]]\n", "pcov: [[-0.00757737 -0.00463191 -0.01205932 -0.00933999]\n", " [-0.00463191 -0.00078166 -0.00688686 -0.00151797]\n", " [-0.01205932 -0.00688686 -0.01487331 -0.0126902 ]\n", " [-0.00933999 -0.00151797 -0.0126902 -0.00252383]]\n", "hess_evals: [ 6.11950518e+04 6.94342954e+02 -2.92933005e+01 1.44408865e+02]\n", "faulty bs: 0.0\n", "outliers: 1.0\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 7min 12s, sys: 1.79 s, total: 7min 14s\n", "Wall time: 7min 12s\n" ] } ], "source": [ "%%time\n", "gen_plots(75, \"thyroid\", \"Gauss\", \"Bayes_bs\", alpha, bootstrapping = \"nonparam\")\n", "gen_plots(75, \"thyroid\", \"log_normal\", \"Bayes_bs\", alpha, bootstrapping = \"nonparam\")" ] }, { "cell_type": "markdown", "id": "5bb81864-0179-4a0a-b557-c1d2ae069d64", "metadata": {}, "source": [ "### Parametric boostrapping: MVN approx of params" ] }, { "cell_type": "code", "execution_count": 11, "id": "8efb3048-08a3-4762-b9fe-c26b96c22beb", "metadata": {}, "outputs": [], "source": [ "alpha = 0.05" ] }, { "cell_type": "markdown", "id": "efb248a7-030e-4d97-b195-4cab5fd2ee11", "metadata": {}, "source": [ "#### Lung" ] }, { "cell_type": "code", "execution_count": 12, "id": "50f56580", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "executionInfo": { "elapsed": 33129, "status": "ok", "timestamp": 1709041941629, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -60 }, "id": "50f56580", "outputId": "fdc915b1-73b5-46c2-92a4-1f428bbd2134", "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p0: [1.30761056 0.25845619 2.45119943 0.8708103 ]\n", "p_opt : [3.06515482 0.43242701 2.05416318 0.92201392]\n", "L_opt : 6.684329291191471\n", "grad_opt : [-9.38311338e-08 -2.50795546e-06 -3.40502393e-08 2.82930741e-07]\n", "hess_opt : [[ 85.53927325 -245.58975079 -5.66032035 -10.86036848]\n", " [-245.58975079 812.28205414 14.87721146 19.595223 ]\n", " [ -5.66032035 14.87721146 0.84358228 1.04103154]\n", " [ -10.86036848 19.595223 1.04103154 2.69824656]]\n", "pcov: [[ -230928.04183129 -59907.37108079 223640.01621772 -580703.65507376]\n", " [ -59907.37108079 -15541.17317493 58016.68072576 -150646.19023511]\n", " [ 223640.01621772 58016.68072576 -216579.23643162 562375.96046813]\n", " [ -580703.65507376 -150646.19023511 562375.96046813 -1460266.8807689 ]]\n", "hess_evals: [ 8.88318984e+02 1.25554644e+01 -5.19934969e-07 4.88708408e-01]\n", "faulty bs: 0.0\n", "outliers: 0.514\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_453819/1504475597.py:128: RuntimeWarning: covariance is not symmetric positive-semidefinite.\n", " ps = np.random.multivariate_normal(popt, pcov, Nsamples)\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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okCmAikhIy8yExYvhhx/M4LlzZ97tsbHQowf07Gne2rc3r7mU8sHhgD//NP9YWLzYvJ05OKpuXbjiCrjqKrj8cnPEvkgpKYAGmQKoiIQctxsSEmD6dPjyS3MQkUd4OPTubbac9e5ttm5qRHboMAzYvt0MovPnw08/mdNWeUREmN/b224z78PDg1erhDQF0CBTABWRkLFlixk6P/nEHKHu0aCB2UJ25ZXQt69ayCqSrCzzGt7Zs+G778xrSz1q14Zhw8ww2rGjBjKJTxRAg0wBVETKNcOAn3+Gl1+GefNyno+JgSFD4NZbzcErukaw4jMM+OMP84+Qjz+Gw4dztrVtC6NHw803mxPti5yFAmiQKYCKSLmUkWGGjFdeMUdRgxkyBw0yQ+dVV+lazsrM6TT/IPnoI5g1y/x5AXPFpnvvhTFjNOeoFEkBNMgUQEWkXElPhzfegEmT4Ngx87noaPjHP8wWrubNg1uflD8nT8KHH8Lrr+dM9RQZCXfeCePGmYOYRM6gABpkCqAiUi44HPDee/Dsszldq02awP33w+23m6PZRYricpmtoc89Zy4wAOb1wA89BA8+aF62IZLNl/yjC3xERCqiuXOhXTu47z4zfDZrBlOnmsthPvigwqcUj80G118Pq1fDjz+ak9unpsJTT5kLC0ybZs6gIOIjBVARkYrk4EG47jro39+coLx2bbP7fetWGDEC7PZgVyihyGKBAQNg5Upzmq7zzjPnFh05EuLjzdWxRHygACoiUhG43WZ3e+vWMHOmGTQfeMCc//HeezW3o5QNi8WcKWHjRnj+ebM7/rffzJbRJ580p3gSKQYFUBGRUHfokDmS/c47zQnGu3aFdevMaZa0HKb4Q3g4PPqo2bJ+3XXmCPqnnzaD6MaNwa5OQoACqIhIKPv+e7joInNezypVzCmWli41VysS8beGDeGrr+CLL6BOHXNO0c6d4Z13zDlGRQqhACoiEopcLnj8cXPuzuPHzQFHa9fC2LFaJlMCy2KBG24wWz4HDjTnD737brjpJkhLC3Z1Uk4pgIqIhJqTJ80lMp97zvx6zBhYscK8/lMkWOrWNVvkX3oJwsLMVtHu3fMu9SmSTQFURCSU7NoF3brBTz+ZqxZ9/DFMngwREcGuTMRcWevBB2HRIjOQ/v672SWfkBDsyqScUQAVEQkVa9aY4XPrVoiLg2XLzHW6Rcqb+Hhz7tCOHSExES6/HL77LthVSTmiACoiEgoWLYJLLzXnXmzXzpz65uKLg12VSOHi4mDJEvNykYwMuPZaeP/9YFcl5YQCqIhIeTdvnjnNUloa9Otn/lJv2DDYVYmcXbVq5ry0f/+7OVftP/8Jb78d7KqkHFAAFREpz376yRzpnpEBV1xhDvLQ+tsSSux2s+Xz4YfNr++5x5ymSSo1BVARkfJqyRIYPBgyM+Gaa+CbbzTYSEKTxQIvvJATQu++G/73v+DWJEGlACoiUh5t2GC2fGZmmvdffqnlNCW0eULoQw+ZX991F8yaFdSSJHgUQEVEypudO6F/f3NZzZ49YcYMc15FkVBnscCLL8I//mFeEzpsmLlyl1Q6CqAiIuVJUpI5avjIEXOJze++M+f7FKkoLBZzIJJndPxVV8G2bcGuSgJMAVREpLxwuWD4cNi8GRo1gh9/hOrVg12VSNmz282W/a5dzZW9Bg82W/yl0lAAFREpL8aPhzlzoEoV89o4TbUkFVm1aubPeaNG5h9dt91mdstLpaAAKiJSHnz5pXltHMAHH0CnTsGtRyQQ6tc35wmNiIBvv4Wnnw52RRIgCqAiIsG2c6c5KAPg0UfNgRkilUXnzjnzgj79NCxcGNx6JCAUQEVEgikrC266ybz+rVs3ePbZYFckEngjR8Idd4BhwC23wPHjwa5I/EwBVEQkmB5/HFatgho14LPPNN2SVF6vvAKtW8OhQ+bSnYYR7IrEjxRARUSC5ddf4aWXzMcffABNmwa3HpFgqlbN/CMsPBxmz9aa8RWcAqiISDCkp8OoUWYrz9//bk5DI1LZtWtnrpYE5vXQu3cHtRzxHwVQEZFg+Ne/YMcOaNwYXn452NWIlB+jR5srgKWl5VwXKhWOAqiISKAlJMBrr5mP//c/iI0Nbj0i5YnVCu+/b86HO28eTJsW7IrEDxRARUQCyeGAu+82W3VGjYIBA4JdkUj507IlPPWU+fiBB+Dw4eDWI2VOAVREJJDeeAM2boRatWDSpGBXI1J+PfggdOwIp06Zq4RJhaIAKiISKAcPwpNPmo8nToSaNYNbj0h5ZrfDm2+aj6dOhd9+C2o5UrYUQEVEAuWRRyAlBbp0MUe+i0jRunY1J6kHc3CS1oqvMBRARUQCYdky+PRTsFjgrbfMgRYicnYTJ0JMDKxebbaESoWg/wFFRPzNMMw5DcFs+ezYMbj1iISSevXgP/8xH48fD6mpQS1HyoYCqIiIv333HSxdClWr5ozsFZHiu+8+OPdcOHoUJk8OdjVSBhRARUT8yenMGcE7diw0ahTUckRCUlgYPPus+fiFFyAxMbj1SKkpgIqI+NPUqbB5sznifdy4YFcjErqGDoWLL4bkZPO6UAlpCqAiIv6SmZnT5f5//6cVj0RKw2qF554zH7/+OuzfH9x6pFQUQEVE/GXaNPOXZMOG5upHIlI6AwZAr17mH3f//W+wq5FSUAAVEfEHhyOntebRR811rUWkdCwWePpp8/EHH5iLO0hICskA+uWXX9K7d29q1KhBZGQk7dq144UXXsDhcPh8rLS0NCZMmECnTp2IiYkhLCyM+vXrc+WVV/Ldd9/5oXoRqRSmT4c9e8wpZP75z2BXI1Jx9OoF8fGQlQUvvRTsaqSELIZhGMEuwhdjx45l8uTJ2O12+vTpQ1RUFAsXLuTUqVP06NGDuXPnUrVq1WIdKzExkV69erFp0yaioqLo3r071atX56+//mLt2rUAjBkzhsk+TvmQnJxMbGwsSUlJxMTE+PweRSTEOZ1w/vmwY4e53vtDDwW7IpGK5ccfYdAgqFbN/EOvdu1gVyT4ln9CqgV01qxZTJ48maioKFasWMHPP//M119/zfbt22nbti0JCQk88cQTxT7e008/zaZNm+jYsSN79uzh559/ZsaMGaxZs4YffvgBu93Oa6+9xm9af1ZEfDFjhhk+a9eGu+4KdjUiFc+AAdChA6Sna17QEBVSAfS57OupHnvsMTp06OB9vnbt2rz11lsAvPHGGyQlJRXreAsXLgRg3Lhx1KxZM8+2QYMGcdlllwGwfPnyUtcuIpWEYeR0C44dC5GRQS1HpEKyWODxx83Hr79uTs0kISVkAuiBAwdYtWoVAMOHD8+3vUePHsTFxZGZmcmcOXOKdcwqxRwUUFtN+yJSXIsXw7p15qpHav0U8Z/Bg81LXZKS4MMPg12N+ChkAui6desAqFmzJs2bNy9wn06dOuXZ92wGDhwIwPPPP8+JEyfybJszZw6LFi2ifv36XH311SUtW0Qqm5dfNu9HjoRatYJaikiFZrWavQwAr70GLldQyxHfhEwA3bVrFwBNmjQpdJ+4uLg8+57NuHHj6N+/P2vWrKFp06YMGDCAm266iU6dOnHFFVfQtWtXfvnlF2I1ebSIFMe2bTB7tvnY84tRRPzn1luhRg3YuRN++CHY1YgPQiaApqSkABBZxPVUUVFRgDkKqzgiIyOZPXs2Dz/8MGlpaXkGIdWqVYt+/frRqBjrNmdmZpKcnJznJiKVkGcwxFVXQcuWwa1FpDKoVg3uuMN8/OqrQS1FfBMyAdQfDh06RHx8PK+//jrPPvssO3fuJDU1lZUrV9KxY0eeeuopevTo4Q2/hZkwYQKxsbHem6clVkQqkZMnzXXfAR58MKiliFQq994LNhssWgS//x7saqSYQiaARkdHA+bE8YVJTU0FKPbcmyNGjGDVqlU888wz/Otf/6J58+ZERkbSuXNnvv/+e9q2bcuGDRuYNGlSkccZP348SUlJ3tu+ffuK+a5EpMKYPt2cEqZtW7j00mBXI1J5xMXB9debjzUlU8gImQDarFkzgCLDnWebZ9+iHDhwgHnz5gEwbNiwfNvDwsIYMmQIAPPnzy/yWBEREcTExOS5iUglYhjwzjvm47vvNqeIEZHAuf9+8/6zz+DUqaCWIsUTMgG0ffv2gLl6UWGDjFavXg2QZ47Qwuzdu9f7uLDA6Bl8dOYIeRGRPH79FTZvNuf8vPnmYFcjUvl06wZt2sDp0/Dpp8GuRoohZAJo48aN6dy5MwCfFvDDlZCQwL59+4iIiGDQoEFnPV7uwUUrVqwocB/PCkiFTfskIgLktH4OHw7qAREJPIslZzDSu++avRJSroVMAAX417/+BcDEiRO9a7WD2Sp6zz33AHDfffflmTZp5syZnH/++fTt2zfPsZo0aeINtPfffz+7d+/Os/3jjz9mxowZQMET34uIAHDsGHz9tfn4zjuDW4tIZXbLLVClijkQKXvhGim/QiqADh48mDFjxpCamsoll1zCwIEDGTJkCC1atOCPP/4gPj6eZ555Js9rkpKS2Lp1Kzt27Mh3vA8++IDatWuzefNmWrduzWWXXcYNN9xAmzZtuPXWWzEMg1tuuYWb1aUmIoWZOhWysqBTJ+jYMdjViFReNWrADTeYj997L7i1yFmFVAAFmDx5MjNmzKBbt24sW7aMOXPm0LhxYyZOnMjChQupWrVqsY/Vpk0bNm7cyLhx42jZsiWrVq1i1qxZHD16lP79+zNjxgymT5+ORQMKRKQghgFTppiP1fopEnyebvjPPtP68OWcxTB0oURZS05OJjY2lqSkJI2IF6nIVqyASy4x130/fFjXf4oEm2HAhReagwLffTcnkEpA+JJ/Qq4FVESk3PjoI/P+2msVPkXKA4sF/v538/H06cGtRYqkACoiUhKZmWY3H8CIEcGtRURyDB8OViskJJhrxEu5pAAqIlIS339vLr/ZsCGcMcuGiARR7n+TH38c3FqkUAqgIiIl4el+v+UWcx1qESk/brnFvJ8+XXOCllMKoCIivjp2DObMMR+r+12k/LnuOqhWDf76yxwsKOWOAqiIiK+++AKcTnPezwsuCHY1InKmqChzcCBoMFI5pQAqIuKr7FXS0CppIuXXrbea959/bi4WIeWKAqiIiC8OHDBH10LOqisiUv706wf16sGJE7BwYbCrkTMogIqI+OLLL81BDfHxEBcX7GpEpDA2m3ktKJiXzUi5Yi/tAY4cOcKCBQtYu3YtR44c4eTJk9SoUYN69erRsWNH+vTpQ7169cqiVhGR4PN0v994Y3DrEJGzGzoU3n4bZs0yV0YKCwt2RZKtRAHU4XAwY8YM3nzzTVauXAlAQSt6etZQ79q1K/feey9Dhw4lTN98EQlVe/bAb7+Zq61cf32wqxGRs+nZ0+yGP3IEFiyAAQOCXZFk8zmATp8+nfHjx3Po0CEMw6BOnTp069aNCy+8kFq1ahETE0NSUhKJiYls3LiR5cuX89tvv7FixQoee+wxJkyYwC2e+blEREKJpxuvVy9zsmsRKd9sNvOPxbfeMv/9KoCWGxajoKbLQnTr1o2VK1dSu3Zthg8fzsiRI2nXrt1ZX7d+/Xo+/PBDPvvsMxITE+natSvLli0rVeHlWXJyMrGxsSQlJRGj9aFFKo7OnWH1avOX2d13B7saESmOX36Byy6DGjXg8GEIDw92RRWWL/nHpwBau3Ztxo8fz3333UdERITPhWVmZvLaa6/x/PPPc/z4cZ9fHyoUQEUqoD17oFkzc43pQ4egbt1gVyQixeFyQaNGZjf8nDkwcGCwK6qwfMk/Po2C37lzJw899FCJwidAREQEjzzyCDt37izR60VEgubbb837Hj0UPkVCiacbHsxZLKRc8CmAnplmk5KSSnRStQqKSMiZNcu8Hzw4mFWISEl4Auj335stohJ0pZoH9LLLLiMxMbGsahERKZ8SE2HJEvPxNdcEtxYR8V3PnlC9Ohw7BsuXB7saoZQBdP369fTq1YvDhw+fdV+Hw1GaU4mIBM8PP5itJhddBOecE+xqRMRXYWFwxRXmY8/lNBJUpQqgjz76KJs3b6Znz57s3bu30P1mzJjB+eefX5pTiYgEz8yZ5r2630VCl6f34ttvzdXMJKhKFUAnTpzIf//7X3bs2EHPnj3Zvn17nu2//fYb3bt3Z/jw4ezevbs0pxIRCY70dPj5Z/PxtdcGtxYRKbkBA8wpmLZvhy1bgl1NpVfqteDHjx/Pm2++yf79++nVqxd//PEHu3fv5sYbbyQ+Pp7ffvuNJk2aMG3atLKoV0QksObNg9OnoWlTKMa8xyJSTkVHQ58+5uPvvgtuLVL6AApw991389FHH5GYmEjPnj1p3bo1X375JTVq1GDSpEls3bpVqx+JSGjyXC92zTXmEpwiErquvtq813WgQVcmAdTtdpOWlkZ0dDTJyclkZWVx0003sWPHDh588EHCteqAiIQitxt+/NF8fNVVwa1FRErPE0B/+82cmF6CptQBdObMmbRp04a7776bkydP0r17dwDmz5/Prl27Sl2giEjQrFtnLt0XFWVO4yIioa1RI+jUyRyE9MMPwa6mUitVAO3evTtDhgxhy5YttG/fnkWLFpGQkMD777/PyZMn6dOnD0uXLi2rWkVEAmvOHPO+Xz8o4QpwIlLODBpk3nt6NyQoShVAf/vtNxo1asS0adNYvXo1l156KQCjRo3i008/JS0tjf79+zNv3rwyKVZEJKA8AdTzC0tEQp/n3/O8eeB0BreWSqxUAfSZZ55h27Zt3Hrrrfm23XDDDcycORO3283VV1/NTM88eiIioeDYMVixwnysACpScXTqBLVqQVKSVkUKolIF0Mcff5wqVaoUun3QoEH8+OOPhIWFcdNNN5XmVCIigfXzz+Z1Yu3amdeNiUjFYLNB//7mY3XDB02ZjIIvyqWXXsr8+fOJjo7296lERMqOp/vds3yfiFQcAwea955/5xJwfg+gAF26dOGXX34JxKlERErP6YSffjIfq/tdpOLp39+c13fDBjh4MNjVVEoBCaAAbdq0CdSpRERKZ+VKOHkSatSArl2DXY2IlLU6daBzZ/Ox549NCaiABVARkZAxd655f/nlYLcHtxYR8Q91wweVAqiIyJk8U8ddfnlw6xAR//EEUE3HFBT6015EJLekpJzplxRAxU8Mw8Cp0BNc7drBuefCqVOwejV07Bjsiso9m82G1Vo2bZcKoCIiuS1aBC4XtGwJTZsGuxqpgJxOJ8eOHcMwjGCXIk8/Dbt3m9d8HzsW7GpCQrVq1YiNjcVisZTqOGUSQJcsWUL9+vVp2bIlANu2bePw4cP06tWrLA4vIhI46n4XPzIMg1OnTmG1WqlRo0apf4lLKbVsCXv2wPHj5sAkKZRhGGRlZZGcnAxA9erVS3W8MgmgvXv3ZtSoUUyZMgWACRMm8NFHH+Fyucri8CIigZN7AJJIGXO73WRlZVGjRg3Cw8ODXY6ccw5kZpqtoIYB+p4UyfMzm5ycTExMTKm648tsEJK6EkQk5O3aBX/9Za6Uctllwa5GKiC32w2Y19JJOVCzpjndmstltoTKWXlCaGkbGTUKXkTEw9P9fsklEBMT3FqkQlPXezlyzjnm/Y4dwa0jRJTVz64CqIiIhyeA/u1vwa1DRALHE0B37gxuHZWMAqiICIDbDQsXmo/79QtuLSISOM2bm8tyHj0KKSnBrqbSUAAVEQH4/Xc4cQKionKW6BMRAEaOHInFYmHixIl5np81a1aeLlnDMHjvvffo2rUrUVFRVK9enU6dOvHqq6+Snp4e6LKLp1o1aNDAfLxrV3BrqUQUQEVEwJz/E6BnTwgLC24tImfhchss35HIt+sPsHxHIi63/wcCV6lSheeff56TJ08Wus+tt97K2LFjueaaa1i0aBHr16/niSee4Ntvv2WuZ4aJ8kjd8AGniehFRCCn+12j36Wc+2njIZ6avYlDSRne5xrEVuHJqy5gQJsGfjtvv379+Ouvv5gwYQIvvPBCvu1ffPEFn3zyCbNmzeKaa67xPt+sWTOuvvpq7/yR5VLz5pCQYE7HJAGhFlAREacTliwxH/fpE9xaRIrw08ZD3P3x2jzhE+BwUgZ3f7yWnzYe8tu5bTYbzz33HK+//jr79+/Pt/2TTz6hVatWecKnh8ViITY21m+1lVpcHFit5rKcRbTwStlRABURWbcOkpOhenW4+OJgVyNSIJfb4KnZmyios93z3FOzN/m1O/7aa6/l4osv5sknn8y3bfv27bRq1cpv5/ar8HBo1Mh8rFbQgFAAFRHxdL/36mVOQi9SDq3cdSJfy2duBnAoKYOVu074tY7nn3+eadOmsXnz5rznD/UFaZo1M+8VQANCAVRExDMASd3vUo4dTSk8fJZkv5Lq1asX/fv3Z/z48Xmeb9myJVu2bPHruf2qeXPzftcuc1lO8auQDKBffvklvXv3pkaNGkRGRtKuXTteeOEFHA5HiY/57bffcvXVV1O/fn3Cw8OpW7cu3bt35+mnny7DykWk3MnKMgcfgAYgSblWN7pKme5XGhMnTmT27NksX77c+9zw4cPZtm0b3377bb79DcMgKSnJ73WVSlyc2QOSnKzrQAOgTALoiBEj6NGjh/frHj16cNttt5XFofMZO3YsQ4cOZenSpXTp0oUBAwawd+9exo0bR58+fTh9+rRPx8vKymLo0KEMHjyY+fPnc+GFFzJkyBDatGnDjh07eO211/zyPkSknFi1CtLSoHZtaNMm2NWIFKpL85o0iK1CYQshWjBHw3dpXtPvtbRt25abb745z+/IoUOHcuONNzJs2DCee+45Vq9ezZ49e/j+++/p168fizw9DeVVWJiuAw2gMpmG6cMPP8zz9e23387tt99eFofOY9asWUyePJmoqCgWL15Mhw4dADh+/Dh9+vQhISGBJ554gkmTJhX7mP/85z/58ssvGTx4MP/73/+oXbu2d5vb7WblypVl/j5EpBz55RfzvndvcxSsSDlls1p48qoLuPvjtVggz2AkTyh98qoLsFkDs878008/zYwZM3JqsFj49NNPee+99/jggw/473//i91u57zzzuO2226jf//+AamrVJo3h717zQCanTHEPyxGCF013KVLF1atWsWzzz7L448/nmdbQkICPXv2JCIigiNHjhRruocFCxbQr18/2rRpw9q1awkro8mnk5OTiY2NJSkpiZiYmDI5poj4yYAB8PPP8NprMHp0sKuRCs7hcHDs2DHq1KlT4t85wZoHtFLYtQumTYPoaHjwQXOJTsmjqJ9hX/JPyExEf+DAAVatWgWY15mcqUePHsTFxbFv3z7mzJnDsGHDznrM119/HTC79csqfIpICHG5YNky83HPnsGtRaSYBrRpwOUX1GflrhMcTcmgbrTZ7R6ols8KrXFj8zrQlBRzad5atYJdUYUVMgF03bp1ANSsWZPmnpFqZ+jUqRP79u1j3bp1Zw2gLpeLBQsWAOaIvsOHD/P555+zdetWIiIiaN++Pddffz1RUVFl+0ZEpPz4/XfzF01MDLRtG+xqRIrNZrXQ7VyFozIXFmaG0D17zK54BVC/CZkAumvXLgCaNGlS6D5xcXF59i3Kzp07SU1NBeC3337jnnvu8X7t8cgjj/D555/TR1OziFRMv/5q3nfvrvk/RcTUpElOAG3fPtjVVFghc8V9SkoKAJGRkYXu42mtLM56s4mJid7Ht99+Ox07dmTVqlWkpKSwfv16Bg0axLFjx7jmmmvYvn17kcfKzMwkOTk5z01EQoAngKr7XUQ8PA1de/cGt44KzqcAusxzrVQFkHvsVaNGjfj555/p1KkTUVFRtGvXju+++442bdqQmprKxIkTizzWhAkTiI2N9d48LbEiUo4ZRs78nwqgIuLRuLE5+CgxEc7oGZWy41MA7devH998842/ailSdHQ0AGlpaYXu4+lCL87Ic8/xAEaOHElERESe7TabjTvvvBOA+fPnF3ms8ePHk5SU5L3t27fvrOcXkSDbsQMOHzbXgO7cOdjViEh5UbUq1K1rPtbvc7/xKYBmZGQwdOhQXnnlFX/VU6hm2Wu0FhXuPNs8+57teJbs6RXOOeecAvfxPH/o0KEijxUREUFMTEyem4iUc57u986doYr/V44RkRCibni/8ymAfvTRR9jtdh5++GHGjBlDcacQnT9/Pr179y5JfV7tsy8ETkxMLHSQ0erVqwG8E9QXJSoqilatWgHmRPYF8TyvkfAiFZC630WkMJ4AumdPcOuowHwKoLfccgs//fQTMTExvPnmm1x33XVkZGQUuv/s2bO55JJL6N+/P796WhtKqHHjxnTO7ib79NNP821PSEhg3759REREMGjQoGId84YbbgAK72KfN28eYE6ALyIVjOf/pFzLCIuIADkB9PBhyMoKbi0VlM+j4Hv37s3SpUuJi4vju+++o3fv3hw7dizPPl988QUXX3wxgwcPZuXKldSrV8+n5TEL869//QuAiRMnsnbtWu/ziYmJ3HPPPQDcd999eVZBmjlzJueffz59+/bNd7wxY8ZQo0YN5syZw7vvvptn2+eff84nn3zi3U9EKpDDh2H7dnOgQXx8sKsRkfImNta8ud2wf3+wq6mQSjQN0wUXXMCKFSvo0KEDK1eupFu3bmzcuJFp06bRunVrhg0bxu+//07jxo15/fXX2bVrFw888ECpix08eDBjxowhNTWVSy65hIEDBzJkyBBatGjBH3/8QXx8PM8880ye1yQlJbF161Z27NiR73i1a9dmxowZVKlShbvuuos2bdpwww030KFDB4YNG4ZhGDzxxBPFblEVkRCxdKl537YtVK8e1FJEQsny5cux2WxcccUVeZ7fvXs3FoulwNtvv/0WpGpLSdeB+lWJJ6KvV68eS5Ys4cYbb+T777+nXbt2gDm9UfPmzRk/fjwjRowo8yUuJ0+eTHx8PG+++SbLli3D4XBw7rnn8thjj/HAAw8QHh7u0/Euv/xyNmzYwHPPPcf8+fP59ttviYmJYdCgQdx///387W9/K9P6RaQcUPe7hDq3C/Ysg9QjEFUPmnYHq/8XU5gyZQqjR49mypQpHDx4kIYNG+bZPn/+fC688MI8z9UK1dWEmjSBP/5QAPWTEgfQzMxMPvjgA37//XfADJ4Wi4VbbrmFqVOnYrX6b477oUOHMnTo0GLtO3LkSEaOHFnkPi1btmTq1KmlL0xEQoMmoJdQtuk7+GkcJB/MeS6mIQx4Hi642m+nTU1NZcaMGaxevZrDhw8zdepU76VxHrVq1aJ+/fp+qyGgPC2g+/ebXfF+zDWVkc+fZlpaGi+++CLNmjVjzJgx7N27l/bt23PfffcB8Nlnn/HOO++UeaEiImUiJQXWrzcfqwVUQs2m7+CL2/KGT4DkQ+bzm77z26m/+OILzj//fFq1asUtt9zCBx98UOzZcEJS3brmFG1ZWeZ141KmfAqgTz31FE2bNuWxxx7jyJEjdO3ale+//541a9bw2muv8dFHH2Gz2Rg9ejTjxo3zV80iIiW3fLnZmtGsmbniiUiocLvMlk8KCn3Zz/30mLmfH0yZMoVbbrkFgAEDBpCUlMTixYvz7NO9e3eioqLy3EKWxaLrQP3I5wB64sQJLr30UubPn8+yZcvyDNC5+eab+fHHH4mOjmbSpEkMHz4ch8NR5kWLiJSYut8lVO1Zlr/lMw8Dkg+Y+5WxrVu3snLlSoYNGwaA3W7nxhtvZMqUKXn2mzFjBuvXr89zC2kKoH7j0zWgAwcO5PHHH6d79+6F7nPZZZeRkJDAwIEDmTFjBgcPHmTWrFlU10hTESkPNAG9hKrUI2W7nw+mTJmC0+nMM+jIMAwiIiJ44403vM/FxcXRokWLMj9/0OQOoIZhtopKmfCpBfSHH34oMnx6tGnTht9++402bdqwZMkSevToofXRRST4srLAMyWMrv+UUBNVr2z3Kyan08lHH33ESy+9lKdlc8OGDTRs2JDPPvusTM9XrjRsCDYbpKbCyZPBrqZCKfEo+LNp1KgRCQkJXHfddSxYsIBLLrmEAwcO+Ot0IiJnt3YtZGRA7dpw/vnBrkbEN027m6Pdkw9R8HWgFnN707M3FPni+++/5+TJk9x+++15FnoBuP7665kyZQoDBgwAzIVhDp8xYKd69epUqVKlTGsKGLsdGjUyW0D37oWaNYNdUYXh1zkFoqOj+fHHH7n11lvz/UCKiARc7vk/1ZUmocZqM6daAuDMn9/srwdMLPP5QKdMmUK/fv3yhU8wA+jq1atJTk4GoF+/fjRo0CDPbdasWWVaT8DpOlC/8FsLqPcEdjvTpk2jadOm/j6ViEjRPNd/qvtdQtUFV8PQjwqZB3SiX+YBnT17dqHbunTp4p2KqcJOyaQA6hd+D6AeTz/9dKBOJSKSn2GYUzABFONadpFy64Kr4fwrgrISUqUUF2feHz8OaWkQGRnceioInwJonz59yryAkSNHctttt5X5cUVE8ti1C44dg/Bw6NAh2NWIlI7VBs01k0NAVK1qTkp/9Cjs26frx8uITwH0l19+KfMCevfuXebHFBHJxzP6vX17iIgIbi0iElqaNDED6N69CqBlxKcAumvXrjIvQPODikhAeLrfu3ULbh0iEnoaN4bVq8114aVM+BRANZBIREKWpwX0kkuCW4eIhB7Psr0HD4LLZc4NKqXi12mYRETKhdOnwbMkoAKoiPiqVi3zWlCnE46U/UpTlZFPAbRRo0a8+uqrfipFRMRP1q41f3HUr58zpYqISHFZLDmtoFrZsUz4FEAPHTrE77//XuC2efPmkZKSUiZFiYiUqdzd75qAXkRKwhNAdR1omSizLvj+/fszduzYAretXLmSTZs2ldWpRER8o+s/RaS0FEDLVJleA1rYKghvv/02bdu2LctTiYgUnwKoSKkYhsEdd9xBzZo1sVgsrF+/nt69exfa8FReWCwWn5YCHTlyJIMHDy54Y6NGZg/KyZOQmlom9VVmGoQkIhXb/v3mzWqFTp2CXY1ISPrpp5+YOnUq33//PYcOHaJNmzZ88803PPPMM959mjVrVrHHiVSpAnXqmI/VClpqCqAiUrF5Wj8vukhL6ImU0I4dO2jQoAHdu3enfv362O12atasSXR0dLBLCyx1w5cZBVARqdg8AVQT0IuUyMiRIxk9ejR79+7FYrHQrFkzgDxd8L1792bPnj088MADWCwWLEUM9rNYLLz77rtceeWVVKtWjdatW7N8+XL++usvevfuTWRkJN27d2fHjh15Xvf2229z7rnnEh4eTqtWrZg+fXqe7du3b6dXr15UqVKFCy64gHnz5uU79759+xg6dCjVq1enZs2aXHPNNezevbv4H4YCaJlRABWRik3Xf0p5ZhiQlhacWyHjNs40efJknn76aRo3bsyhQ4dYtWpVvn2++eYbGjduzNNPP82hQ4c4dOhQkcd85plnuO2221i/fj3nn38+w4cP584772T8+PGsXr0awzC47777vPvPnDmT+++/n4ceeoiNGzdy5513MmrUKBYtWgSA2+3muuuuIzw8nBUrVvDOO+8wbty4POd0OBz079+f6Ohofv31V5YuXUpUVBQDBgwgKyurWJ8FcXHm/YED4HYX7zVSIJ9WQgJYvXo1b775Jm3atKFNmzbUqlXLH3WJiJReVhasWWM+VgCV8ig9HaKignPu1NRiXZYSGxtLdHQ0NpuN+vXrF7hPzZo1sdlsREdHF7pPbqNGjWLo0KEAjBs3jm7duvHEE0/Qv39/AO6//35GjRrl3X/SpEmMHDmSe+65B4AHH3yQ3377jUmTJnHZZZcxf/58tmzZws8//0zDhg0BeO655xg4cKD3GDNmzMDtdvP+++97W2g//PBDqlevzi+//MLf/va3s9ZN7drmtaAZGeaE9A0anP01UiCfW0A3btzImDFj6NOnD3Xr1qVBgwZcfvnlABw+fJj9apYWkfLi99/NXxQ1asB55wW7GhHJdtFFF3kf16tXDyDPbDn16tUjIyOD5ORkADZv3kx8fHyeY8THx7N582bv9ri4OG/4BOh2xmU3GzZs4K+//iI6OpqoqCiioqKoWbMmGRkZ+br7C2WxmKPhQd3wpeRTC+gXX3zBmjVrWLNmDWvXruXEiRMcOXKEI9nLUv388880bdqUWrVq0bFjRzp27EiHDh04ceKEX4oXESmSJqCX8q5ateBN6VOtWnDOC4SFhXkfe1ojC3rOXYbd3KmpqXTs2JFPPvkk37Y6ntHtxdG4MezYYQbQzp3LrL7KxqcAOmTIEIYMGeL9es+ePd5A6gmlx48f5/jx4/z888/MnTu3zAsWESk2Xf8p5Z3FUmFmZwgPD8flcvnl2K1bt2bp0qWMGDHC+9zSpUu54IILvNv37dvHoUOHaJDdLf6b599/tg4dOjBjxgzq1q1LTExMyYvxXAeqFtBS8fka0NyaNm1K06ZNue6667zP7du3L08gXbNmDUePHi1yRJyIiF8ogIoETLNmzViyZAk33XQTERER1K5du8yO/cgjjzB06FDat29Pv379mD17Nt988w3z588HoF+/frRs2ZIRI0bw4osvkpyczOOPP57nGDfffDMvvvgi11xzjXdQ1Z49e/jmm2949NFHaewZ4X42ni74xETzGt4gtiSHslIF0ILExcURFxeXZyWBAwcOsMYzEEBEJBCOHTO7yQC6dAluLSKVwNNPP82dd97JueeeS2ZmZqGrI5bE4MGDmTx5MpMmTeL++++nefPmfPjhh/Tu3RsAq9XKzJkzuf322+nSpQvNmjXjtddeY8CAAd5jVKtWjSVLljBu3Diuu+46UlJSaNSoEX379vWtRbRqVXMw0vHjZitoy5Zl9j4rE4tRlj8hAkBycjKxsbEkJSWVrplfREpu9my4+mpo3Ro2bQp2NSKAORXQsWPHqFOnTp5rHiXEzJoF69dDr17Qp0+wqwmoon6Gfck/fp0HNCMjg5UrV/Lee+95p04QEQkIdb+LiL9oQvpSK7Mu+KNHj7J+/fo8t+3bt+cZwfbWW2+V1elERIqmFZBExF9yD0Ryu8GqdX18VaIAum3btnxh0zMVk4enZ99qtdK8eXMuvPDC0lcrIlIcLhesXGk+VguoiJS1OnUgPNxc7OLYMciey1SKz6cA2r17d/744w/S09O9z+W+hLRWrVpcdNFF/Pnnnxw7dozVq1fTunVrqlSpUnYVi4iczaZN5tyKUVGQPU2LiEiZsVrN0fC7dpmtoAqgPvMpgP72229YLBZsNhstW7akXbt2XHTRRd57zwoEPXv25NixY7Rv394vRYuIFMnT/d6lC9hswa1FRCqmxo3NALpvH3TsGOxqQo5PATQ8PByHw0Ht2rV55JFH8kwIKyJSbmgAkoj4m+c60AMHgltHiPLpqtnNmzdz5ZVXcvjwYf7+97/TvXt3ze8pIuWPAqiI+JtnQvpjxyAjI7i1hCCfAmjz5s359ttv+fHHH2nZsiW//fYbXbt25R//+AfHjh3zV40iIsV36lTOvJ9duwa1FBGpwCIjoUYN87FaQX1WonkD+vfvzx9//MGLL75IVFQUH3zwAS1btuTVV1/12zqwIiLF4hn9fs45ULducGsRkYpN84GWWIknrrLb7Tz00ENs27aNESNGkJyczEMPPUTbtm3Zu3dvWdYoIlJ86n4XCVm9e/dm7Nix3q+bNWvGq6++GrR6zkoBtMRKPXNq3bp1+fDDD1m+fDmdOnViy5Yt7Nu3D4C//vqr1AWKiPhEE9CLVBirVq3ijjvuCHYZhcsdQLWyuU/KbOr+Ll26sGLFCqZMmUK9evUwDIM2bdrw8MMPk5ycXFanEREpnGGoBVSkAqlTpw7VqlULdhmFq18f7HY4fRpOnAh2NSGlzNeOGjVqFNu2beOBBx7AMAxeeeUVzjvvPN57772yPpWISF7bt8PJk1ClClx0UbCrEakwevfuzejRoxk7diw1atSgXr16/O9//yMtLY1Ro0YRHR1NixYt+PHHH72v2bhxIwMHDiQqKop69epx6623cvz4ce/2tLQ0brvtNqKiomjQoAEvvfRSvvOe2QX/8ssv07ZtWyIjI4mLi+Oee+4hNTXVu33q1KlUr16dn3/+mdatWxMVFcWAAQM4dOiQfz4Ymw0aNDAfqxveJ35ZvDQ6OpqXXnqJDRs2cPnll3Ps2DHuuecef5xKRCSHp/WzY0dzmTyRcs4wDNKy0oJyM3zsMp42bRq1a9dm5cqVjB49mrvvvpsbbriB7t27s3btWv72t79x6623kp6ezqlTp+jTpw/t27dn9erV/PTTTxw5coShQ4d6j/fII4+wePFivv32W+bOncsvv/zC2rVri6zBarXy2muv8eeffzJt2jQWLlzIo48+mmef9PR0Jk2axPTp01myZAl79+7l4Ycf9um9+sTTDa+R8D4p0VrwxXX++efz008/8e233/LQQw/581QiIup+l5CT7kgnakJUUM6dOj6VyPDIYu/frl07/u///g+A8ePHM3HiRGrXrs0///lPAP7973/z9ttv8/vvvzN//nzat2/Pc8895339Bx98QFxcHNu2baNhw4ZMmTKFjz/+mL59+wJmwG3sCXOFOHOA0rPPPstdd93FW2+95X3e4XDwzjvvcO655wJw33338fTTTxf7ffpMA5FKxK8B1OOaa65h4MCBgTiViFRmy5eb9wqgImXuolyXtdhsNmrVqkXbtm29z9XLXg/96NGjbNiwgUWLFhEVlT9c79ixg9OnT5OVlUXXXHP11qxZk1atWhVZw/z585kwYQJbtmwhOTkZp9NJRkYG6enp3mtFq1Wr5g2fAA0aNODo0aMle9PF4Qmghw+DwwFhYf47VwUSkAAK5jKeIiJ+k5YGv/9uPlYAlRBRLawaqeNTz76jn87ti7AzgpXFYsnznMViAcDtdpOamspVV13F888/n+84DRo0KNEsObt37+bKK6/k7rvv5r///S81a9YkISGB22+/naysLG8ALahOXy838ElMDERHQ0oKHDoETZr471wVSMACqIiIX61eDW63uTzeWbrxRMoLi8XiUzd4qOjQoQNff/01zZo1w27PHzXOPfdcwsLCWLFiBU2yA9vJkyfZtm0bl156aYHHXLNmDW63m5deegmr1RzC8sUXX/jvTRSXxWL+v7Nli9kNrwBaLH4ZhCQiEnC6/lOk3Lj33ns5ceIEw4YNY9WqVezYsYOff/6ZUaNG4XK5iIqK4vbbb+eRRx5h4cKFbNy4kZEjR3qDZUFatGiBw+Hg9ddfZ+fOnUyfPp133nkngO+qCLoO1GchGUC//PJLevfuTY0aNYiMjKRdu3a88MILOByOUh97zpw5WCwWLBYL/fr1K4NqRSQgFEBFyo2GDRuydOlSXC4Xf/vb32jbti1jx46levXq3pD54osv0rNnT6666ir69etHjx496NixY6HHbNeuHS+//DLPP/88bdq04ZNPPmHChAmBektFUwD1mcUogwsjlixZQv369WnZsiUA27Zt4/Dhw/Tq1avUBZ5p7NixTJ48GbvdTp8+fYiKimLhwoWcOnWKHj16MHfuXKpWrVqiY588eZI2bdpw6NAhDMOgb9++zJ8/3+fjJCcnExsbS1JSEjExMSWqRUR8YBjQsKE5CCAhAeLjg12RSIEcDgfHjh2jTp06+a5VlBCWlQUTJpj/Fz34oHldaAVV1M+wL/mnTFpAe/funedC4wkTJnDZZZeVxaHzmDVrFpMnTyYqKooVK1bw888/8/XXX7N9+3batm1LQkICTzzxRImPP3r0aI4cOcJdd91VhlWLiN/t3WuGT7sdOnQIdjUiUtmEh0P2LABqBS2eMuuC9+sIs2ye+cQee+wxOuT6JVO7dm3vHGBvvPEGSUlJPh975syZfPLJJzz44IN06dKlbAoWkcDwdL9ffDGUsAdERKRU1A3vk5C5BvTAgQOsWrUKgOHDh+fb3qNHD+Li4sjMzGTOnDk+Hfv48ePcddddtGrVyr+T1YqIf+j6TxEJNq2I5JOQCaDr1q0DzIlqmzdvXuA+nTp1yrNvcd19990cP36cKVOmUKVKldIVKiKBpwnoRSTYPAH04EFwuYJbSwgImQC6a9cuAO98YQWJi4vLs29xfP7553z11VeMHj2aeA1cEAk9mZng+aNTAVREgqVWLahSxVwNyZ8rL1UQIRNAU1JSAIiMLHzCXs+SX8nJycU65uHDh7n33ns599xz86xX66vMzEySk5Pz3EQkQNatM0eg1q4N55wT7GpEpLLyTEgPug60GEImgPrDHXfcwcmTJ3n//fe9S3iVxIQJE4iNjfXePC2xIhIAua//zF4KUEQkKDQQqdhCJoBGR0cDkJaWVug+qanmerrFmXtz2rRpzJ49m7vuuovevXuXqrbx48eTlJTkve3bt69UxxMRH2gAkoiUFwqgxRYya8E3a9YMoMhw59nm2bcoM2fOBGDVqlX5Aujhw4cBc91Zz7bPP/+c+vXrF3isiIgIIiIiznpOEfEDTwDt1i24dYiIeLrgExMhPR1K0bta0YVMC2j79u0BSExMLHSQ0erVqwHyzBF6NqtXr2bx4sV5blu3bgXg1KlT3ucyMjJK+Q5EpMwdOgR79phd7507B7sakRJzu7JwOU8H7OZ2ZQX7LRepWbNmvPrqq96vLRYLs2bNKtUxy+IYZ/OfF17g4vffN78I0emYfvnlFywWC6dOnfLreUKmBbRx48Z07tyZVatW8emnn/L444/n2Z6QkMC+ffuIiIhg0KBBZz1eUT+EU6dOZdSoUSVeilNEAmTFCvO+TRvIvkxHJNS4XVmknNiI25UZsHNabRFE12yD1RYesHOWxqFDh6hRo0ax9v3Pf/7DrFmzWL9+fYmPUVIPP/wwo885B3buNLvhzzvvrK9p1qwZY8eOZezYsX6trbwJmRZQgH/9618ATJw4kbVr13qfT0xM5J577gHgvvvuIzY21rtt5syZnH/++fTt2zewxYqI/2n+T6kADMOF25WJxWLHaovw+81iseN2ZWIY/p2rMiur7FpZ69evX+pL3criGGcTFRVFrdatzS8CfB1oWX7egRBSAXTw4MGMGTOG1NRULrnkEgYOHMiQIUNo0aIFf/zxB/Hx8TzzzDN5XpOUlMTWrVvZsWNHkKoWEb/RACSpQCxWG1ZrmN9vFqvN59p69+7Nfffd523kqV27Nk888USeZbibNWvGM888w2233UZMTAx33HEHYPZQ9uzZk6pVqxIXF8eYMWPyDCg+evQoV111FVWrVqV58+Z88skn+T+bM7rP9+/fz7Bhw6hZsyaRkZF06tSJFStWMHXqVJ566ik2bNiAxWLBYrEwderUAo/xxx9/0KdPH6pWrUqtWrW44447vIOZAUaOHMngwYOZNGkSDRo0oFatWtx77704HI5CP6f//Oc/XDxypPnFgQNnPUbv3r3Zs2cPDzzwgLdej7N9bgV93t27d2fcuHF5ajp27BhhYWEsWbIEgOnTp9OpUyeio6OpX78+w4cP52gQ5i0tkwA6YsQIevTo4f26R48e3HbbbWVx6HwmT57MjBkz6NatG8uWLWPOnDk0btyYiRMnsnDhQqpqHWiRysHphOzleRVARfxv2rRp2O12Vq5cyeTJk3n55Zd533O9Y7ZJkybRrl071q1bxxNPPMGOHTsYMGAA119/Pb///jszZswgISGB++67z/uakSNHsm/fPhYtWsRXX33FW2+9VWQgSk1N5dJLL+XAgQN89913bNiwgUcffRS3282NN97IQw89xIUXXsihQ4c4dOgQN954Y75jpKWl0b9/f2rUqMGqVav48ssvmT9/fp66ABYtWsSOHTtYtGgR06ZNY+rUqd5AW6iwMPOWkQEZGUUe45tvvqFx48Y8/fTT3nqBYn1uBX3eN998M59//nmePwxmzJhBw4YN6dmzJwAOh4NnnnmGDRs2MGvWLHbv3s1IT2gOJEPKXFJSkgEYSUlJwS5FpOJau9YwwDBiYgzD5Qp2NSLFkpWVZRw4cMDIysryPud0pBsnDi0zTh1dYyQf/93vt1NH1xgnDi0znI70Ytd96aWXGq1btzbcbrf3uXHjxhmtW7f2ft20aVNj8ODBeV53++23G3fccUee53799VfDarUap0+fNrZu3WoAxsqVK73bN2/ebADGK6+84n0OMGbOnGkYhmG8++67RnR0tJGYmFhgrU8++aTRrl27fM/nPsZ7771n1KhRw0hNTfVu/+GHHwyr1WocPnzYMAzDGDFihNG0aVPD6XR697nhhhuMG2+8scDz5jn3lCmG8eSTxoirrjrrMZo2bZrnvRrG2T83z+vO/LyPHj1q2O12Y8mSJd7nunXrZowbN67QmletWmUARkpKimEYhrFo0SIDME6ePFng/gX9DHv4kn9CqgteRMTL0/3etStY9V+ZiL9dcsklebqIu3Xrxvbt23HlWve8U6dOeV6zYcMGpk6dSlRUlPfWv39/3G43u3btYvPmzdjtdjp27Oh9zfnnn0/16tULrWP9+vW0b9+emjVrlvi9bN68mXbt2uVZXTE+Ph632+2dCQfgwgsvxGbLuWShQYMGxeuu9swHmpZWomOc7XPzOPPzrlOnDn/729+8lzHs2rWL5cuXc/PNN3v3WbNmDVdddRVNmjQhOjqaSy+9FIC9e/ee/X2VoZAZBS8ikoeu/xQpd85cLjs1NZU777yTMWPG5Nu3SZMmbNu2zedzBPJSu7CwsDxfWywW3G732V/oCaDp6YSdMUNHcY5xts/No6DlyW+++WbGjBnD66+/zqeffkrbtm1p27YtkHPpQf/+/fnkk0+oU6cOe/fupX///gEfxKQAKiKhyTMCXhPQiwTECs+0Z9l+++03zjvvvDyte2fq0KEDmzZtokWLFgVuP//883E6naxZs4bO2XP5bt26tcg5KC+66CLef/99Tpw4UWAraHh4eJ5W2YK0bt2aqVOnkpaW5g1xS5cuxWq10qpVqyJfWyyeAHr6NJwlbBZU79k+t6Jcc8013HHHHfz00098+umnecbkbNmyhcTERCZOnOhdNtwzh3qgqd9KRELPsWOwfbv5uGvX4NYiUkns3buXBx98kK1bt/LZZ5/x+uuvc//99xf5mnHjxrFs2TLuu+8+1q9fz/bt2/n222+9g2latWrFgAEDuPPOO1mxYgVr1qzhH//4R5GtnMOGDaN+/foMHjyYpUuXsnPnTr7++muWZ/9R2qxZM3bt2sX69es5fvw4mZn551e9+eabqVKlCiNGjGDjxo0sWrSI0aNHc+utt1KvXr1SfErZYmLMG5iDkYrQrFkzlixZwoEDBzh+/Dhw9s+tKJGRkQwePJgnnniCzZs3M2zYMO+2Jk2aEB4ezuuvv87OnTv57rvv8s0eFCg+BdB77703z8gqEZGg8LR+tm4NpbgOTKQ8Mdwu3G6H32+Gu2Tzf952222cPn2aLl26cO+993L//fd7p1oqzEUXXcTixYvZtm0bPXv2pH379vz73/+mYcOG3n0+/PBDGjZsyKWXXsp1113HHXfcQd26dQs9Znh4OHPnzqVu3boMGjSItm3bMnHiRG9L7PXXX8+AAQO47LLLqFOnDp999lm+Y1SrVo2ff/6ZEydO0LlzZ4YMGULfvn154403SvTZFCh3K2gRnn76aXbv3s25555LnTp1gOJ9bkW5+eab2bBhAz179szTZV+nTh2mTp3Kl19+yQUXXMDEiROZNGlSyd5fKVkMHxKl1Wrl6quv5rPPPtN0R0VITk4mNjaWpKQkYjx/AYlI2Rk3Dl54Af7xD/jf/4JdjUixORwOjh07Rp06dbzXF4bCSki9e/fm4osvzrM8ppzFsmUwdy60agW5WiFDXUE/wx6+5B+frgFt164d3333HZdddhmzZ8/2JnURkYBautS87949uHWIlAGrLZzomm38vjJRbhaLLWSW4QxZ2ddYsm8fGAbkmkFAfAygv/76K0OGDGHu3Ll0796dOXPmcF4x1jkVESkzmZnguWg+Pj64tYiUEYXBCqhBA7DbIT0dEhOhdu1gV1Su+HQNaFRUFD/88AOjRo1ix44dxMfHey/6FREJiLVrzRBauzboD2CRgPjll1/U/e4rux0812zu2xfcWsohn0fB22w2pkyZwpNPPsnx48fp27cvX3/9tT9qExHJL3f3u7q0RKQ88wwACvAk76GgxNMwPfnkk3zwwQc4nU5uvPFGXnnllbKsS0SkYMuWmffqfheR8i73daCSR6kmoh85ciQNGzbkhhtu4OGHH2bhwoX06tWLjh070qFDhyKX0hIR8Zlh5LSAKoBKCNOUhpWEJ4AeP25eC1qtWnDrKQNl9bNb6pWQnE4nTZs2ZePGjfzwww/MmTPHu61p06beMNqhQwf69+9f2tOJSGW2YwccPQrh4ZBr7WiRUGGz2bBYLKSkpBAdHZ1nbXWpgMLCzOtAExNhzx4owcpG5YVhGLhcLpKTk7FYLNjtpYuQJXq1y+Xik08+YdKkSfz5558YhkG9evW47rrr2Lp1K+vWrePkyZPs3r2b3bt3880332CxWHA6naUqVkQqOU/3e8eOUKVKcGsRKQGr1UrNmjU5ceKEd9UbqeBq1jRbQP/6C2Jjg11NqYWHh1OrVq1S//HkUwBNS0vj3Xff5dVXX+XAgQMYhkGjRo149NFH+ec//0mVXL8Qdu3axdq1a1m7di2rV69m/fr1pSpURETd71IRREREUK9evbOuVy4VREYGvPwydOkC334b7GpKxWq1YrVay6Tl3qcAGhcXR1JSEoZh0KxZMx577DFGjRqVbyZ8gObNm9O8eXOuv/76UhcpIgIogEqF4flFLpVA165mF/yCBeByqfcmm08//adOnaJFixZ88MEHbN++nTvuuKPA8CkiUuZOnYI//zQfd+sW1FJERIqtRQuoUweysmDNmmBXU274FEA/+eQTNm/ezMiRI7HZbP6qSUQkP8+iFy1aQL16wa1FRKS4LJacXhtPL474FkCHDRumLgMRCQ51v4tIqOrRw7xXAPVSmhSR0OAZAd+9e3DrEBHxlecP52XLzPmMA8gw3DizknFkngzoec+m1POAioj4ncMBK1aYj9UCKiKhpkMHc/DR8eOwbRu0auXX0xmGgcuRijMriayMRFyONKy2CGLqdCg3c8/61AJ6//33k5iYWKoTHjt2jDFjxpTqGCJSyWzYYK4iUr06tG4d7GpERHwTHg6dO5uP/dQNbxgGTkcqGakHSEn8g5TEP0hP3onLmW5eh0r5Wn3LpwD65ptv0rx5c8aPH8/27dt9OtHWrVt55JFHOPfcc3n77bd9eq2IVHKe7vdu3UDXoYtIKPLDQCQzdKaRkXaQ1BO5Q2cqVnsV7OHVsYdFYbGUv4HjPnXBr1q1itGjR/P888/zwgsv0K1bN/r27Uu3bt1o3bo1tWrVIioqitTUVBITE9m0aRPLly9n3rx5rFy5EsMwiI+P5/XXX/fX+xGRikgDkEQk1JVRADUMA7czHUdWEo6MRJyOVAy3E4vFhtVeBYs9stx0sxfFYpRgVfmvvvqKV155heXLl5/1TXoO3717dx544IFKMTF9cnIysbGxJCUlERMTE+xyREKbYUBcHBw4AIsWQe/ewa5IRMR3J05ArVrm42PHoHbtYr/UDJ2nvdd0mqHTYYZOWwQWa1iReczlPI3FYiWmTke/hlNf8k+JAqjH+vXrmTlzJosWLWLdunWkpaV5t0VGRtKhQwcuu+wyBg8ezMUXX1zS04QcBVCRMrRnDzRrBjYbJCVBZGSwKxIRKZkLL4RNm8wlOa++ushdSxs6cyuPAbRUo+AvvvhiLr74Yp566ikA0tPTSUpKonr16lStWrU0hxYRMS1ZYt536KDwKSKhLT7eDKAJCQUGUE/3ujMrueDQaa8WEt3rxVGiALp7927Wrl2LYRi0aNGCdu3aAVCtWjWqVatWpgWKSCXnCaCXXhrcOkRESis+Hv73vzzXgea/pjOtwobO3HwKoIZhcO+99/Lee++Ru+e+ZcuWvPPOO1yqXxAiUtYWLzbv9f+LiIS67BWRjNWrcSUdxWl35h9IVIFDZ24+zWfy7rvv8s477+B2uwGw2+0YhsHWrVvp378/iz2/KEREysKhQ7B9uzmHnWcpOxGREGQYBs64uhgN62PJyuL0vBmkJ+3AmZWC1RqOPTwWe3g0Vlt4hQ+f4GMA/eCDD7BYLDz22GMkJyeTnp7Oli1bGDFiBFlZWfzzn//0V50iUhl5/qi9+GJzEnoRkRBiLoOZQkbqflISfycl8Q+yLmkLQNhvf1S60JmbTwF08+bNtGnThueee47IyEhsNhstW7bkww8/ZPjw4ezYsYNffvnFT6WKSKXjuf6zV6/g1iEiUkyG4caRlcTplL2kHP89e3L4Xbic6VjtVXD36A6AfdnaShc6c/MpgKalpXHRRRcVuO3BBx/EMAyWeVYsEREpLV3/KSIhwHC7cGSeJD15D8nH15OauJHTKXtwuU5jtVc1WzrDorBaw3DFdwLAtuZ3OJ0R5MqDx+dR8GFhYQU+36pVKwAOHjxYuopERMCcqHnTJvNxz57BrUVE5AxutxNXVjKOrFM4Mk7idmVgGG6s1jBs9mpYrAVHLOOcJrjr18V6+Ci2NX/g6tE5wJWXD2W2qHJk9vx8p0+fLqtDikhl5ul+b9PGpxVDRET8xe3KIuv0cdJO/UXK8XWkntxEZuoBDMOJzR5JWER1bGGRhYZPACyWnFbQpasCVHn543MAXbFiBa+++iqLFi3ixIkT+baXYmElEZEcmv9TRILMMAxcztNkph8l9eRWko+vJ+3kFjJPH8IwDGxh0dgjqme3eNqKfVxXd08AXe2v0ss9n7vgN2/ezEMPPeT9umHDhrRr1847Gb3L5Sq76kSk8vIMaNQAJBEJoNyrETkyT+LMSsHtzsJisWCxRmALj8ZiKV0HsjP3daAZmVAloixKDyk+rQX/1VdfsWbNGtasWcPatWvztIDmHsnVoEEDOnbsSKdOnbz3devWLdvKyzGtBS9SSkePQr16OY/r1AluPSJSoRmGG5cjNXsJzBO4nGnZE8Nbs9ddL+NpkgyDyAv7Yj16nPRvP/B2yftLyK8FP2TIEIYMGeL9es+ePd5A6gmlx48f5+DBgxw8eJDvv//eu2+jRo3Yu3evj29FRCqlRYvM+4suUvgUEb8w3E6cjhQcmck4Mk/gdp4GwwVWO1ZrOBZ7pP/CWvZ1oNaZP2FbusrvAbQ8KtFa8B5NmzaladOmXHfddd7n9u3blyeQrlmzhqNHj3LgwIFSFysilcSCBeZ9nz7BrUNEKhS3K8vsWs86hTPzVPbIdSN75HpVsNgCNjenq2cXwmb+hG3JCnj07oCcszwpVQAtSFxcHHFxcQwePNj73IEDB1izZk1Zn0pEKipPAO3bN7h1iEhIM6/nPI3TkYwj8xTOrCQMlwPDYmC1RmALi8JiKf7gobLkvPQSAGyrf4fUdIiqFpQ6gqXMA2hBGjVqRKNGjQJxKhEJdbt3w86dYLNpAJKI+Cz39ZyOzBM4HengdoDFitUWjrUMBhGVSZ1NG+Nu1hjr7v3Ylq/BdXnlmu84IAFURKTYPK2fXbqABvGJSDG43Q5cWSk4spK8k8Kb13PasFojsNirlctlL509uxK+ez/2xb8pgIqIBNXChea9ut9FpBCGYeB2ncaZlYIzKwlH5ikMdxYYBhZrODZ71aIngy8nXJdeAtO/xrbkt2CXEnDl/7sjIpWHYSiAikiBDMOFy5GGMysFR+YJXI403G5HzvycYeWja90Xrp5dALBt2o7lyHGMepVn1TcFUBEpPzZtgsOHoWpV6NYt2NWISJC5XVk4HdmtnBmn8nWt28tp13pxGbVq4Gp7PrY/tmD7dQXOIVcEu6SAUQAVkfJj/nzzvkcPiKh8K4OIVHaG4cblTDev58w8hdORguHOwgDvVEmh0LXuC9ell2D7Ywv2JQqgIiLB8dNP5v3f/hbcOkQkYHIGEKXgzDyJy3U61ypE4VhDsGvdF85LLyH8janYFv9mXoYUwi26vgjJ7+iXX35J7969qVGjBpGRkbRr144XXngBh8Ph03HWrVvHhAkT6Nu3L/Xq1SMsLIwaNWrQs2dP3nzzTZ+PJyKlcPp0zvrvAwYEtRQR8R/DMHA50shMP0zqqW0kH1tH6slNZKTuxe3KwGqLwB4eiz08BqutSoUOnwCuru0xwsOwHjiM5a/dwS4nYEKuBXTs2LFMnjwZu91Onz59iIqKYuHChYwbN47Zs2czd+5cqlatetbjOJ1OOnToAEBUVBSdO3emXr167N+/n+XLl5OQkMBHH33Ezz//TPXq1f38rkSEJUsgIwMaNYILLwx2NSJShtxuR/bcnCk4Mk/icqaD2wkhPICozFSriuuSDtiXrMC+IAHHec2DXVFAhNR3e9asWUyePJmoqChWrFjBzz//zNdff8327dtp27YtCQkJPPHEE8U+XseOHfniiy84fvw4Cxcu5LPPPuPXX39l3bp1NGjQgJUrV/Lggw/68R2JiJen+33gwErTBSVSUeVp5Ty5leRj60hJ/JPTKXtwOdOx2iKwhcdiD4/FZq/4rZxn4+xnzgFqX7A0yJUEjsUwDCPYRRRXly5dWLVqFc8++yyPP/54nm0JCQn07NmTiIgIjhw5QmxsbKnO9fHHH3PrrbdStWpVkpKSCAsLK/Zrk5OTiY2NJSkpiRhNpC1SPK1bw5Yt8NVXcP31wa5GRHzkdmXhcqTmuZYzp5UzHKstotIHzcJYt+0ksvtgjIhwUrf/CtXO3pPrC5fzNBaLlZg6Hf06a4Av+SdkfhIOHDjAqlWrABg+fHi+7T169CAuLo7MzEzmzJlT6vO1b98egNOnT3P8+PFSH09EirB7txk+bTbN/ykSIgzDjTMrhYy0g6Se2Ezy8fX5ruXMaeWsqvBZBPd5zXHHNcSSmYUtYVWwywmIkPlpWLduHQA1a9akefOCr4/o1KlTnn1LY/v27QCEh4dTs2bNUh9PRIrg6X7v1g10zbVIuWQYBi7nabJOHyM9aSfJx9aTkvgH6Uk7cGSeACzYwqIJi6iOLSwSqzUspOfoDCiLBWffeADs838NcjGBETKDkHbt2gVAkyZNCt0nLi4uz74lZRgGL7zwAgBXXnklEZqPUMS/PAFUo99FyhXP4CGXI9UcPORIx+12gsXAajGXvMRiU9AsA85+PQmf+iX2BQlkVoLpmEImgKakpAAQGRlZ6D5RUVGAeQ1CaTz11FMsX76cqKgoJk6ceNb9MzMzyczM9H5d2vOLVCpZWbBggflYAVQkqAzDjcuRln0tZxLOrGRzInjDwGK1Y7WGhfzqQ+WVq2cXczqmPQew/LUbo4KPhg+ZLvhA+eijj3j66aexWq188MEHnHfeeWd9zYQJE4iNjfXePC2xIlIMixdDairUqwfZ116LSGCY3erpZJ0+SnrSjuzR6n+QlvQXjoxEzG71KMIiqmMPi8oeSKTw6ReR1XB16wiAfX5CkIvxv5AJoNHR0QCkpaUVuk9qaipAiUeef/nll/z9738H4H//+x833HBDsV43fvx4kpKSvLd9+/aV6PwildK335r3V10F1pD5L0kkJBmGgduVSVZGIunJe0hJ/J3k47+TemorGWmHMAwnVntV70Tw5hRJtmCXXWk4+/YAKsd1oCHTBd+sWTOAIsOdZ5tnX1988803DB8+HLfbzbvvvusNosURERGh60RFSsIw4LvvzMfXXBPcWkQqqJzrONNwZJ7C5UzDcDvMf39WO1ZrOBarutXLA+ffesG/J2FbuhqSkiG24k7lGDIB1DMtUmJiIrt27SpwJPzq1asBvCscFdesWbO46aabcLlcvP322/zzn/8sfcEicnbr18O+fVCtmqZfEikjhtuJ05mGy5GGMzMJpyMFtzsLDAOLxZa9vromfy+PjBbNcLU8B9u2ndjnJ+C8flCwS/KbkPnpa9y4MZ07dwbg008/zbc9ISGBffv2ERERwaBBxf+GzZ49m6FDh+J0Onn77be58847y6xmETkLT+vn3/4GxVhCV0TyM9wunFnJZKYdMlcdOr6O1MSNeaZHsmdPj2QPj9aE8OWc84o+ANjnLAxyJf4VUj+B//rXvwCYOHEia9eu9T6fmJjIPffcA8B9992XZxWkmTNncv7559O3gNaVOXPmMGTIEJxOJ++8847Cp0igeQLo1VcHtw6REGIYLpxZKWSmHybt1DaSj68jJXFj9sCh4xiGgc0emR04Y7TUZYhxDswOoPMTICPzLHuHrpDpggcYPHgwY8aM4bXXXuOSSy6hb9++REZGsmDBAk6dOkV8fDzPPPNMntckJSWxdetWMjIy8jx/9OhRrrvuOrKysmjcuDHLli1j2bJlBZ530qRJ1K5d22/vS6RS2rcP1q4157q78spgVyNSbhmGC5cjHZczDWdWCs6sZNyuTAzDhSV7mUvNx1lxuC++AHeDulgPHcX260pcl/cMdkl+EVIBFGDy5MnEx8fz5ptvsmzZMhwOB+eeey6PPfYYDzzwAOHh4cU6Tnp6unfuzv379zNt2rRC9/3Pf/6jACpS1mbPNu+7d4c6dYJbi0g5YrhduJxFBc4wBc6KzGrFOfAywj+YgX3OwgobQC2GYRjBLqKiSU5OJjY2lqSkpBJPCSVS4V1+OcyfDy+8AI88EuxqRILGDJzZg4YcKTizUvIFTqs1XIGzErH9spxqQ+7EXacmaRsXgK10U2G5nKexWKzE1Ono158hX/JPyLWAikgFcOwYLMy+wP7664Nbi0iAmdMieVo4k3E5UnG7stSlLl6u7p0wYqKxHjuBbfXvuLpWvEU6FEBFJPC+/hrcbujUCc45J9jViPiV25WV3cKZjjMrCacjFcPtwDDcWCxWdalLfuFhOC/vSdjXc7B/N69CBlANixORwJsxw7wfOjS4dYiUMXNpywyyMhI5nbKXlMSN2aPU/yQ9eSeOzFOYy1vmHqVeFYvVrvApeTgG9wfAPutncLmCXE3ZUwuoiATW4cPm+u+gACohzzDcuJ2ncTnTcTpSzQFDztMYhgPDAIvVhtUajj1cUyGJb1x94jFio7EeOYZt+VpcPToHu6QypQAqIoH11VfmEoBdu0LTpsGuRsQnhtuZPUI9HWdWduB0Z2K4nWCxmCsNWcOxWqsqcErpRITjuLIf4Z/MxD7zpwoXQPWvQ0QCy9P9fuONwa1D5CwMw8DtysSRcYKM1P2knthM0rF1pCT+Qdqp7WSmH8YwHFhtEdjDYwkLj8UeFoXVFq7wKWXCed1AAOyz54HDEeRqypZaQEUkcA4cgIQE8/GQIcGtReQMhuHC5TyN25mO05GW3Z2ekd2dbuQaMFRNA4YkIFzxnXDXqWmOhl/8G65+FWdOUAVQEQmcTz817+PjIS4uuLVIpWYYBobbYY5Od57GmZViTofkzjqjOz0Mq1XXb0qQ2O04r+lP+PufEfbNjwqgIiI+MwyYOtV8fNttQS1FKh/D7cLl8rRumtMhuV0ZuN0OLOZoIXPCd1sVLHa1bkr54bhuIOHvf4Z9ziJIPw3Vqga7pDKhACoigbF6NWzaBFWq6PpP8Svz2s2MnNHpWam4nDmTvedu3bSHqXVTyjd3p4twN22Edc8B7N/Pxzn0qmCXVCYUQEUkMD780Ly/7jqIjQ1uLVJh5HSlZ7duZq+fbrgyMQxnnms3rfaqWHTtpoQaqxXHsMFETHyTsI9nKoCKiBRbRgZ89pn5eNSo4NYiIc2cBul09i0NlyMFl/M0htuJYbgBC1arPXv9dE2FJBWDY9g1hD//FvZlq7Hs3ItxTpNgl1RqCqAi4n/ffgunTpkDjy67LNjVSIjIuW7T7Ep3OVJxOtLMQUKGC8MCFovdHCgUFoHFYgt2ySJ+YTSqj6tPd+wLlhL22SyyHh8T7JJKTQFURPzPM/hoxAiwKSRIfmbY9Fy3eRqXIyU7bDowcGExMKc+0rrpUkk5br42O4B+R9a4e8Ae2hEutKsXkfJv1y74+Wfz8YgRwa1FygW324nbeRq3KyM7bGa3bBpOs3UTzGs1rXZdtymSzdm/N+6a1bEePopt0XJcl4f2lEwKoCLiX2+/bU7B9Le/QYsWwa5GAsgw3LhdWeaIdFeGtxvd5czIvmbThQWyWzbtmgJJpCgR4ThvuJLwdz8m7KOvFEBFRAqVng7vv28+vu++4NYifmOORM/C7crMDpqZ2QOEzC50t+E0/wjBgsVqw2KxqxtdpAQcI28g/N2Psf/0C5bd+zGaNQ52SSWmACoi/vPZZ3DyJDRvDoMGBbsaKSVP0HS5Msyw6Q2a6ea1moZnJDrZUx+Zo9HtGo0uUibc5zXH2ac79oXLCH//MzKffSTYJZWYAqiI+IdhwOuvm4/vuUeDj0JI4S2aOUGT7KCJN2jasVojAKtaNUX8KOuOm7EvXEbYJzPJHHcPREcGu6QSUQAVEf9YuhQ2bICqVeHvfw92NVIAw3Cbk7ifpUXTvE5TQVOkPHD1icd9blOsO/YQ9vm3OP45PNgllYgCqIj4x8svm/c33ww1awa3lkrOHAyU6b25nBm4nem4nJ6g6SqgRdOmoClSHlmtZN1xM1XGPUf4/z7DcftNYA29S1wUQEWk7P35J8ycaT5+4IHg1lKJGG5n3qDpOo3LkW6OQnc7za5zDDA80xzZslcMqoKCpkjocNx4NRH/fR3rzj3Yf1qMc1DoLfChACoiZW/CBPP+uuvggguCW0sFlDto5kzenmZOb2S4zFWCDHNfc9S5Das1DIsGA4lUDFHVyBo1lIjJUwh/6V2cA3tDiP0BqQAqImVrx46cdd8ffzy4tYQwwzAwjLwtmvmDpjN735zpjay2Kpq4XaQScNx9K+H/+wTbhk3Y5v2K62+9gl2STxRARaRsPf88uN0wcCB06BDsaso1c7S5A7c7C8OVhTv7sct5Grcj3Xze7RlxbmCgoCkiJqN2TRx/v4nwN6YS8eI7pF/eM6RaQRVARaTs7N2bs+67Wj+98g4CMqc18g4CMpwYbhfgxjCMnBHnuZai1ITtIlKQrHtHEDblc2zrNmJbuBRX3x7BLqnYFEBFpOw88QQ4HHDZZRAfH+xqAs5wu7wh03N9psuRljMIyJ09CMhiwYI15/pMe7hCpoj4zKhTC8fIoYS//RERL7xNep/4kGkFVQAVkbKxbh1Mn24+fuGF4NbiR565M801znO3ap45CMgcBZTTZR6Oxa5BQCJStrLuG0nYtC+wrfkD+7dzcQ7uH+ySikUBVERKzzDgkUfM+2HDoFOnYFdUIoZhgOHG7XaY82O6Hd7H5vyZp3G7MjGypzTKWXbSkt2Cacdqi8Bisas1U0QCwqhXm6zRfyfi+beIeOoVnAN6Q5WIYJd1VgqgIlJ6P/0ECxZAeDg891ywqymQOeDHiWF4QqUzJ2Rmt2a6XBneQT+GkX1dJtlB0siZ0shitWO1RGRfq6mgKSLBlXXvCMKmf41130HC35lO1th/BLuks1IAFZHSycqChx82H48eDc2aBbwEb7f4GS2XbpdnhHkGblcWhuEyWy0Nd3brpQVL9jWZ5kTstuyVgMKwWqooYIpIaKhWlcz/u5+q9/yL8FfexzFsMEa92sGuqkgKoCJSOs8/D5s2QZ06ARn5brid2V3hGTgd6bidabicp7OXlHR71y43yL4G02LNGVVuMVf+sVhsgEXhUkQqDOeQQbj+9ym2dRuJ+M/LZLxdPnujPBRARaTktmyBZ581H0+eDDVqlNmhvROxOzNwu07jdJzG5UzF5UjL7kp3ZU9ZZMteuzwMq6cFU8FSJGgMw8BtuHEZbtzZt5zHRva9y/vYuw03Lrf52MDA5XZlP+95bOAm55ie47nyHMt8bJz1/AVvM19vTonmKqjG7Hrcuepx5Xlsvg/DyHnsNrLrJ/+5c58z93spqv4i39vQ0xi9wG35Huc7CbjDw7w1No9pzMq7fg/2j4eXAqiIlIzbDXfcYXbBDxwIN91U7JcabpcZLvNci+nM7jbPyp7GKCt7jswzw2YYNs2NWeEZuYNC9i/unF/o5mMjzy/3/GHkbEHl7EEp77EK2i9PUMkVoNy4ced+XEigMYyCAlD+kFZQUCle/e7CaysgHOUJUIWEpLMFOAkyTzuA8xQ4c56uHhETjGoKpQAqIiXz9tvw668YkZEYb0zGcGXmTEGUHRrNe3f2tZcuM1g6M3G7HdlTFXmuxTTMMGlkX49psWGxWLFYrD5PxG4YBgZGvl+WZ7aAeMJLUS0khveXcu7Wi9y/gPP/kj/zmMaZrynomLmD1Rl15ByjqEBQSEtNcYKKtzXHHfCWJuOMY+UJZtmXUEjFZcGC1WLFZrFitVixWizYLDas2b0Y5mNL9ra8+1lzbct53nxs8eyDFZvVluuxuY/F85jsc1ptWMk5j7WAejyPLYWc07OPpYhttuz/16xnvrdc9VjOqCfvY7N2awHHyH1Oa6aDyLvGYz9wFPegvjgfuRvDnUVVe5Vgf8vzUACVSsko8JejK99z3m3uIraFyOucbic5rSrmvcttBkOX24XLcOJ2u7IDgCsnlBgu87VuV/ZrXbhPncK6dBXumyCrdT2ci0fmO5/ZMpTrOYzsz90wg072PrlDWWEtVzlhKH+rlDvXMVxul4JLJWPxBof8gSUnrOT6BY0Vq9Xz2JL3F3dhr8kdeHIFGc/jgoLUmWGooLCQE1YsOWEoez9LQecv4Dxn7pfz+lznzFOzBWuewFX455b3+ZywZG4r+HOzkfN1/jCY8z49IfNsyubfs1HklyU+Tqn4diyjwN0LP4b9sf8jZsgYmLKAlB79cFzeDVtYpG8l+pkCaIjKcGYwc/NMHI5U3IYzp/XA25Jxxi9xd95WCiPfL/kzW04KCj0FhYP824xivy5/YMkfsnK3HHlClvuM54ycFqJcXXFnhpjcwU3KQKvse2Mn7N0Z1FJKKnd4seYKA5ZcvyTzhQnO/IWc+xe6Jc8vY284OON4Bbf8FBIqKKi1J39LixVLrhaS/IHHUsB5PC063hDkae2hoFahgkNW3vPnfk1BrTMFvcbz+RRyHmuuYxXw3ooOMQVv8/3CjQJeUeKrP8rqspESHMeS+2FxXn+2fSwF7GI545WWgjYXeZ6Cv6fFqKWgOiwleK2loOfP9j7OeA+FnjP/85YCP8cC9rcU8nxBx/lbHM571mN/6wOiHphA5pIfsJzTqFxdtmQxjIJztZRccnIysbGxJCUlERPjn2sujqcfp86LdfxybMmroF+ultzhxNt9Ysn5az9XUMnTCnBGa4e1oBaGXMfMG4QKCD+5f2ljxWq1ZHcvFd2llFOPJWc/byuJJyBZsruEyHkdFqp+PZfwtZshJoqssaOwREdht9jM92K1YrPYzUBmsZl1WO3mY29Xlg2r1YbNs2+esJKru8tqy/6ccn1G1pz3ktNVlzu02PK29lis2eEw1z5W85yWPKPgLXnuoKAvffmP+2yB5ezHKlZAKPYvEx9+oZd5SMHnOoveu+DvlU/1FLFP8X5B+7hPMWv1OS77+DNV6BnKUSiRMpSVBb16wYoV0LEjJCRAFf92w/uSf9QCGqIibBFc1vRS3M707Gtccn5x5/xytuT8gs7X3XJGi0zuAHJm6CmotcUbovK2pJzZipH7mAVtP/OYhV3fkvs1BbXwFBzK8td5ZvdXvm6lM4JbqPzHbP4daXjnt8yZ69KcTN17baXh6dLKDl/ZQYzszyP3tZfeOTE9y0habdhfew/7e5sxrFZcP38OvXp6J2a3WOwagS4iUl6Eh8MXX0CHDrBmDTz4ILz1VrCr8lILqB8EogUUwOVIIznxd2y2Klis+luiIso7abqR52vPczks3vDomZrIZovAYgvHag3Hag0Dz0o+ltzzYtqzw+ZZBvp89RXccIP5+OWX4YEH/PjORUSkTPz0EwwaBA0awIYNUNt/E9SrBVSknDqzpRLObLHM3u6VO1R6RoVXMee8tEaYLZOeydWtdnOJSGtY2bdGLl8Ot95qPr7vPhg7tmyOKyIi/jVgAEybBv37+zV8+koBVKQUcgKlgUGu1krDnf11dqslZHeBZ083RO5QacdmD8NiDcea3Vp5Zqi0WOzelsqAd3GvWGHO85mRAVdeCa++6sM1fSIiEnSeBoRyRAFUJBczUHpCpOFtpcz92MAAw1zs0WTJ00KJxYLVWiX7usmw7NbKgsOk1Wov3xOqL11qhs+UFOjRAz77DGy2YFclIiIhTgFUKqQ8Xd15urwNb7gsPEx6BueYYdJisWO1h+UKk+aAHDNI2vK2TnpbKa1Be+9l5qefYMgQSEuD3r3h++8hsnzNIyciIqFJAVTKrfzd257Wybxd3ua47uwAmevySTMEWrytkmA1B+bkaZUMyw6OZwZKz2CdSjiy2zDglVfgkUfM5Tb79YNvv4Vq1YJdmYiIVBAKoOI3eQOkkRMWPaO3DSNXq6SRPUWdAUbObHVG9tRM5L63WLO7s23mdZNW+xlB0ryR63FOqKwALZP+lJJiDjL66CPz69tvN6ftCA8Pbl0iIlKhKIBKPjkzc7lzhUczTOYJj3lCpfkaCxbz+exebc+AG7InN8fbKmnDYrNnTw1kx5pnkI0ZMMkzVVCuYFmer5kMZUuXwm23wc6dYLWaUy2NGaMBRyIiUuYUQCuInOl7jAJCo9l1XfDznuAIRnZ8xPPYYjG3eCcrN7+2WOxYbDbvvJK5w2NOaLTmCovWAkKlWiLLjZMn4amn4PXXzS73Jk3MKTt69w52ZSIiUkGFZAD98ssvefPNN9mwYQNZWVm0aNGCm2++mQceeICwsDCfj7dmzRomTpzIkiVLSEpKokGDBlx55ZU88cQT1K1b1w/voKyY3dFOR6r5lScwFhYarTnXOuYNjjkjuM8MkfkDpVXhsaLIyoIpU+CJJyAx0XxuxAiYPBliY4Nbm4iIVGghtxLS2LFjmTx5Mna7nT59+hAVFcXChQs5deoUPXr0YO7cuVStWrXYx/vqq68YNmwYTqeTzp0707x5c1avXs3OnTupV68eCQkJtGjRwqcaA7USkmG4cWSexGyvzFlGMSdM5nouz7rXUqmdPg3vvw8vvgj79pnPXXCBOb/n5ZcHtTQREQldvuSfkAqgs2bN4tprryUqKorFixfToUMHAI4fP06fPn34448/eOihh5g0aVKxjnfw4EHOO+880tPTeffdd7njjjsAcLlcjBw5ko8//pjOnTuzYsUKn8JboAKoiE/+/BP+9z9zgNHJk+Zz9evD44/DXXeBPSQ7REREpJyosAG0S5curFq1imeffZbHH388z7aEhAR69uxJREQER44cIbYYXYiPPvooL774Iv369WPevHl5tqWmptK4cWOSkpL46aef6N+/f7HrVAAtv1xug5W7TnA0JYO60VXo0rwmNmvBf1ycbV/P9v0n05n752HSs1xUC7fRr3VdUjNd1IyKoG50BBhwPC2zyGMcTjrN8dQsTp3Owm0YpJx24DbgaEoGGBAZYSfCbmX9vlM43HBJ85r0O78us/84xP6T6TSMqULVKnZ2HEkFi4XLL6jHqO7NCN+2BffXX3P68y+J3LzRe95jtRvwcc+hzOsykHp1q2OxWDiakknd6HCs2X9sRUbYad0ghpRMJ4YbktKzOJqaQbVwOxc2jKVOTBXqxxT9Gfrz+1OZ6HMRkVBQIQPogQMHaNy4MQA7d+6kefPm+fZp0qQJ+/bt49NPP2XYsGFnPeZ5553HX3/9xQcffMCoUaPybb/tttuYPn06d9xxB++++26xa1UALZ9+2niIp2Zv4lBShve5BrFVePKqCxjQpoFP+xa0vTjK4hiFCXM5aHlsD22O7KDL/j+J372e+qknvNudFivzz+vK5xf1Z0nz9ritZbOiUWGfoa98+f5UJvpcRCRUVMgA+v3333PVVVdRs2ZNEj0DJs5w3XXXMXPmTB555BFeeOGFIo+XkpLi/XB+//132rZtm2+f1157jfvvv5/OnTuzcuXKYteqAFr+/LTxEHd/vJYzf9g9bUhv39LB+8v8bPve0as57y3ZlW97cZTFMSKcWTROOkLcqcPEJR2h9dHdtDnyF62O7SbC5cyzb6YtjGVNL2JOq3jmnXcJp6r65+fRQt7P0Fe+fH8qE30uIhJKfMk/IXPR165duwCzlbMwcXFxefYtyu7du72PCzumL8eT8svlNnhq9qYCw56B+cv8qdmbuPyC+pD9uKh9//dryYKj5xhkHwPDTTVHJpFZp3Nujgwis04TnZlOzfQkaqUnUSv9FLXSk6iddorGyUepl6tV80ynqkTxR70W/N7gPJY2bceaRq3JDIsoYbW+8XyGvnYN+/L9qUzdzvpcRKQiC5kAmpKSAkBkEWtRR0VFAWYCL+7xijpmcY+XmZlJZmam9+vinL/UUlNh3Licr89syM79dVHbysO+fj7nydRMHt95It++lly/2i2GwanFkwF4YlciZ/46P3Pf3KyGgd3txO5yEeZ2Yne7sLudhLnMe7vbRbjLid1lPg5zOwlzOanqyMRawiibEl6VfdXrsy+2HjtqNeaPei34o34L9sfWC8rE8QZwKCmDlbtO0O3cWj69duWuE0VehlCaY4cyfS4iUpGFTAAtzyZMmMBTTz0V2JNmZppLJMpZ1QauLM6O28y7QX6spSBuLKSGVyU9vApp4dVIDa9KWnhVTlSL5Xi1WE5UiyUx+3Ygpi77qtfjVJXocrlC0dEU369nLe5rSnLsUKbPRUQqspAJoNHR0QCkpaUVuk9qqjkhe3Guu/Qcz3PMgkbNF/d448eP58EHH/R+nZyc7O2+95uqVeHJJ/M+d2Ygyf11UdvKw75+POeuY2l8uMy8jMI4Y18jV1vn33uYA9s+WLo7e1teuV+b+3UG4LTZcVhtOK12nDYbDqsdp9WGw2beO612HDa792uH1U56eBVSw6uSYY8ol2GyJOpGV/Hba0py7FCmz0VEKrKQCaDNmjUDYJ9n4uwCeLZ59i1K06ZNvY/37t1b4CCk4h4vIiKCiIjAXGfnVa0a/Oc/gT1niGriNpj3/EIOJ2UU2OFtAerHVuGpcX0AWHCWfS0WcJdy6J61DI5Rnng+wy7Na/r82i7Na9IgtspZvz8lOXYo0+ciIhVZyKyp2L59ewASExMLHRS0evVqAO8E9UWJiYnxrnDkeV1pjifll81q4cmrLgAo4NpO05NXXYDNainWvv/s2TzftuLyLJZammOUV57P0Fe+fH8qE30uIlKRhUwAbdy4MZ07dwbg008/zbc9ISGBffv2ERERwaBBxbuK79prry30eKmpqcyePRswp3eS0DagTQPevqUD9WPzdlfWj62Sbyqbs+07ftAFvH1LBxrE+t71WRbH8MXlF9T1+zkaFPAZ+sqX709los9FRCqqkJkHFApfijMxMZHLLruswKU4Z86cyfjx42nUqBELFizIc7zcS3G+9957/POf/wTMpThHjRrF9OnTtRRnBVOpVkKKb0643ZpzjuQMTqRmElXFzrw/D7PjWBp2KzSuUU0rIZVz+lxEJBRUyInoPe6//35ee+01wsLC6Nu3L5GRkSxYsIBTp04RHx/PvHnzqFq1qnf/qVOnMmrUKJo2bZpn7k+PL7/8kmHDhuFyuejatSvNmjVj1apV7Ny5k3r16pGQkODtqi8uBVARERGpbHzJPyHTBe8xefJkZsyYQbdu3Vi2bBlz5syhcePGTJw4kYULF+YJn8Vxww03sGLFCq677jp27tzJzJkzcblc3HvvvWzYsMHn8CkiIiIiRQu5FtBQoBZQERERqWwqdAuoiIiIiIQ2BVARERERCSgFUBEREREJKAVQEREREQkoBVARERERCSgFUBEREREJKAVQEREREQkoe7ALqIg8U6smJycHuRIRERGRwPDknuJMMa8A6gcpKSkAxMXFBbkSERERkcBKSUkhNja2yH20EpIfuN1uDh48SHR0NBaLxW/nSU5OJi4ujn379mnFpXJE35fyR9+T8knfl/JJ35fyJ1S+J4ZhkJKSQsOGDbFai77KUy2gfmC1WmncuHHAzhcTE1OufyArK31fyh99T8onfV/KJ31fyp9Q+J6creXTQ4OQRERERCSgFEBFREREJKAUQENYREQETz75JBEREcEuRXLR96X80fekfNL3pXzS96X8qYjfEw1CEhEREZGAUguoiIiIiASUAqiIiIiIBJQCaAj68ssv6d27NzVq1CAyMpJ27drxwgsv4HA4gl1apbR161Zef/11Ro4cSdu2bbHb7VgsFp599tlgl1ZpORwOFixYwCOPPELnzp2pXr06YWFh1K9fn6uvvpoffvgh2CVWWp988gm33XYb7dq1o27duoSFhREbG0uXLl2YMGECqampwS5RgEcffRSLxaL/y4Jo5MiR3u9BYbeMjIxgl1limgc0xIwdO5bJkydjt9vp06cPUVFRLFy4kHHjxjF79mzmzp1L1apVg11mpfL2228zefLkYJchuSxevJjLL78cgPr169OjRw8iIyPZtGkTs2fPZvbs2dxxxx288847fl0sQvJ7++23WbZsGa1bt6ZDhw7UrFmTI0eOsHz5clatWsUHH3zA4sWLadiwYbBLrbSWLVvGSy+9hMViKdaSiuJf8fHxtGjRosBtNpstwNWUHQXQEDJr1iwmT55MVFQUixcvpkOHDgAcP36cPn36kJCQwBNPPMGkSZOCXGnl0qZNGx5++GHat29Phw4deO6555g+fXqwy6rUrFYr119/Pffffz89e/bMs23GjBncfPPNvPfee8THx3PbbbcFqcrK6aWXXuK8886jZs2aeZ5PTExk8ODBJCQk8NBDD/HZZ58FqcLKLT09nZEjR9KgQQM6d+7MrFmzgl1SpfePf/yDkSNHBruMMqcu+BDy3HPPAfDYY495wydA7dq1eeuttwB44403SEpKCkp9ldU//vEPXnzxRYYPH875559/1uXHxP/69OnDV199lS98Atx4443e/8w/+uijAFcmXbt2zRc+AWrVquX9P27u3LmBLkuyjR8/nu3bt/Pee+8Ve0UbkZLQb8oQceDAAVatWgXA8OHD823v0aMHcXFxZGZmMmfOnECXJxJS2rdvD8C+ffuCXInkZrebnXIVaa7DUPLLL7/w+uuvc9tttzFo0KBglyMVnLrgQ8S6desAqFmzJs2bNy9wn06dOrFv3z7WrVvHsGHDAlmeSEjZvn07AA0aNAhyJeKRkpLCf/7zHwCuvvrq4BZTCaWmpvL3v/+devXq8eqrrwa7HMll0aJF/PHHH6SkpFCrVi26dOnCoEGDQv4PNQXQELFr1y4AmjRpUug+cXFxefYVkfwOHz7M1KlTAbj++uuDW0wlNnfuXD799FPcbrd3EFJKSgoDBgzg+eefD3Z5lc7DDz/Mrl27mDlzJjVq1Ah2OZJLQZcKNWjQgA8++IABAwYEoaKyoS74EJGSkgJAZGRkoftERUUBkJycHJCaREKN0+nklltuISkpibZt23LnnXcGu6RKa9OmTUybNo3p06czd+5cUlJSGD58OFOnTtW1hwE2d+5c3n33XW666SYGDx4c7HIkW7t27Zg8eTIbN24kOTmZI0eOMHfuXLp3786hQ4e4+uqr+eWXX4JdZokpgIpIpXHXXXexYMECatWqxVdffUV4eHiwS6q0xo4di2EYZGVl8ddff/HSSy/x448/csEFF7BkyZJgl1dpJCUlcfvtt1OnTh1ef/31YJcjuTzwwAOMGTOGCy+8kOjoaOrWrcvll19OQkIC11xzDQ6Hg7Fjxwa7zBJTAA0R0dHRAKSlpRW6j2cC55iYmIDUJBJK7r//fqZMmUKNGjWYN28eLVu2DHZJAoSFhXHuuefy4IMP8uOPP3Ly5EluueUWTp8+HezSKoWxY8eyf/9+3njjDWrXrh3scqQYLBYLTz31FAAbNmwI2cGUugY0RDRr1gwoetSuZ5tnXxExPfTQQ7z22mtUr16duXPnekfBS/nStWtXLrjgAv78809Wr15d4DRaUrZmzpyJ3W7nrbfe8k7n57FlyxYApkyZwvz586lfvz6ff/55MMqUM7Ru3dr7eP/+/d4xIKFEATREeH5hJiYmsmvXrgJHwq9evRogzxyhIpXdo48+yssvv0xsbCxz586lU6dOwS5JiuC5zv3o0aNBrqTycDqdLF68uNDtu3fvZvfu3TRt2jSAVUlREhMTvY89PaShRl3wIaJx48Z07twZgE8//TTf9oSEBPbt20dERITmbxPJ9thjj/Hiiy8SGxvLvHnzvP+GpHw6fvw4GzZsANAlEgFy6tQpDMMo8DZixAgAnnnmGQzDYPfu3cEtVrw8LdExMTG0atUqyNWUjAJoCPnXv/4FwMSJE1m7dq33+cTERO655x4A7rvvPo0gFQH+7//+j+eff57q1asrfJYTmzZt4pNPPiEjIyPftm3btnHDDTeQmZnJJZdcQtu2bYNQoUj5sH79er777jucTmee591uN1OmTPHmgTFjxhAWFhaMEktNXfAhZPDgwYwZM4bXXnuNSy65hL59+xIZGcmCBQs4deoU8fHxPPPMM8Eus9JZu3at9w8AgB07dgDw7rvv8v3333ufnzlzpiY+D5DvvvuO//73vwC0aNGCN998s8D9ateuzaRJkwJZWqV29OhRbrnlFu68807at29P48aNycrKYu/evaxduxa3203r1q2ZMWNGsEsVCardu3dz7bXXUqNGDTp06EC9evU4deoUGzduZO/evQAMGzaMJ598MsiVlpwCaIiZPHky8fHxvPnmmyxbtgyHw8G5557LY489xgMPPKBpZYIgOTmZFStW5Ht+//797N+/3/t1ZmZmIMuq1E6cOOF9vHr1au/10Wdq2rSpAmgAXXjhhfz3v//l119/ZcuWLaxbtw6Hw0HNmjXp27cv1113HaNGjQr5FV5ESqtdu3aMHTuW1atXs2XLFpYuXYphGNSrV48hQ4YwatSokL/czmIYhhHsIkRERESk8tA1oCIiIiISUAqgIiIiIhJQCqAiIiIiElAKoCIiIiISUAqgIiIiIhJQCqAiIiIiElAKoCIiIiISUAqgIiIiIhJQCqAiIiIiElAKoCIiIiISUAqgIiIiIhJQCqAiUqGsW7cOm83G6NGjC93H4XAwbdo0rrjiCho2bEhERASxsbG0aNGCAQMG8Pzzz7Nv3748r7nxxhuxWCw8+OCDRZ7/5ZdfxmKx0KtXLwD++OMPLBYL1apVw+12n7X+jRs3YrfbsVqtLFu2zKf35avU1FTsdjsxMTG4XK6gH6ei2LdvH/fddx/nnnsuERER1K5dm/79+/PDDz8U+pqRI0disViKvGVkZOR73V9//cXVV19NdHQ0MTExXHvttezatavQ8zz00ENYrVYSEhIK3J6UlEStWrXo2rUrhmGUeB+RszJERCqQ+Ph4IzIy0jhy5EiB27dt22a0adPGAIxq1aoZ8fHxxo033mhce+21RqtWrQzAAIx58+bled25555rAMYnn3xS5PmHDx9uAMbYsWMNwzCMrKwsIywszACMbdu2nbX+fv36GYBxyy23+PS+SmL+/PkGYFx++eV+OU5KSophs9mMqKgow+l0luocoWLlypVGzZo1DcBo0KCBcc011xg9evTw/gz8+9//LvB1I0aMMAAjPj7eGDFiRIG3rKysPK9JT0834uLiDMDo06ePcdlllxmAERcXZ5w8eTLfOdasWWPYbDbjzjvvLPI9vPjiiwZgTJ06tVT7iBRFAVREKowvv/zSAIxHHnmkwO0nTpwwGjVqZADGAw88YCQmJubbZ8eOHcajjz5qnDp1yvvcqVOnDIvFYgDG1q1bi6zBE2KnT5/ufa5t27YGYHzzzTdFvvbbb781ACMqKso4ePBgsd9XSZ06dcrYvHmzcfjwYb8cZ8GCBd5wVBmcPn3aGwhvvPFGIz093btt5cqVRq1atQzAmDt3br7XegLohx9+WOzzvfrqqwZg/Oc///E+93//938GYLz44ot59nU6nUaHDh2MBg0a5PnZLux91KlTx2jQoIGRkZFR4n1EiqIAKiIVRvfu3Q3A2LJlS4Hb//WvfxmAMWjQIJ+Ou2jRIgMwYmJiDLfbXeh+ycnJ3qC6adMm7/OeVtGnn3660NdmZWUZ5513ngEYEydO9Ol9lVfPPvusARiPP/54sEsJiE8//dQAjOrVqxfYAjl58mQDMHr06JFvW0kC6C233GIAxoEDB7zP7d+/3wCMa6+9Ns++L730kgEYX331VbGOff/99xuAMW3atFLtI1IYXQMqEgDPPvssFouFSy65pMDtjz32GBaLhYsvvpiTJ08GuDqT5zozgI8//pguXboQFRVFnTp1GDZsGHv37gXAMAzeeOMNLr74YiIjI6lduzYjR47k6NGj+Y65cuVKHn30Ubp06UL9+vUJDw+nXr16XHXVVcyfP7/AOkaPHo3FYqFnz544nc582x9//HEsFgsdOnTIc03cunXrWLZsGZdccgmtWrUq8Njz5s0DoGfPnj59NmvXrgWgQ4cO3s+oIOvWrcMwDCIjI/PUcNFFFwHm9Z2Fee2119i+fTvnnXceDzzwQJ5jFvW+Zs2a5f08CpOSkkKDBg0ICwtj06ZNgPl9rF69OlarlaSkpDz7JyYm8sQTT9ChQwdiYmIIDw+nQYMGdO/enccffzzP517QcaZPn47FYuH//u//APjvf/+b51rGWbNmFVprURo2bIjFYmH79u1MmDCBjh07EhMTQ5UqVejUqVOJj1tWVq1aBUDHjh2pXr16vu39+vUDYOnSpRw+fLjU50tMTASgZs2a3udq1aoFmNfleuzZs4d///vfXHPNNVx//fXFOvbIkSMBePPNN0u1j0ihgpt/RSqH9PR0o3HjxgW2QDz33HMGYLRq1apMr+/zFdnXPj722GOG3W43+vTpYwwZMsRo0qSJ97qyEydOGEOHDjWqVKliDBgwwLj22muNunXrGoBx0UUXGZmZmXmO2bdvX8NqtRpt27Y1Bg0aZNxwww1Ghw4dvOd69dVX89WRmZlpdOrUyQCMcePG5dn2448/GhaLxYiJiTG2b9+eZ9u///1vAzD+7//+r9D36Ln2c+DAgT5dk3jzzTcb/9/e3QdFVf1/AH8vCyyoizyoGCaE4Aw6YTpCPqDIRJOlgzSJEuZDTiL5jPgQTk02k4o2ZaNYKZqmWToqaoySqJlkaY4pDmg6aoBKjiiJoCCI8P79wdzrLnv3QdP197XPa4Z/7j337D137879cO45nwOAs2bNsllu6dKlmj1cu3fvJgB2795d87hr166xbdu2BMBdu3aZ7bPXruLiYgKgh4eH1Ta99957BMBp06ap286fP08ADA0NNSt76tQp+vv7EwADAwMZFxfHkSNHMioqikajkW3btjXrBdaqZ9u2bRw3bhw9PDzU19GmYxlNe+wcpfTstWnThr1796aLiwsHDBjAhIQEBgcHEwB1Oh137NjxwHU/KsnJyQTAkSNHau4vLy9X7/3du3eb7VN6QMeOHcu0tDQmJyczPT2d27dvt/qKe9KkSQTAEydOqNtOnDhBAHz77bfVbUOGDKHRaOTly5cfqD3t27cnALPhIA9TRggtEoAK4STr169XA82GhgaS5JdffkkADA4OZllZmd06lIfUg/79/PPPdutWyvr5+fHkyZPq9traWg4YMIAAGB4ezpCQEJaWlqr7r1+/ztDQUALgxo0bzerMzc3VfDAdPnyYXl5edHNz02x3cXExvb29qdPpmJubS5K8fPky27VrRwDcsmWLxTHKObZ8sJuaPHmy2s7g4GDOnTuXe/fu5a1bt2xem27duhEAN23aZLOcEqjOmDHDbPvly5cJgG5ubhYTSUgyJSXF6tAAR9qlBK9ar+iLi4tpMBjo5+fHGzduqNs3b96sGSz169ePAPjVV19ZDDeora3lwYMHzbZZq6eqqkr9Z8HWsAVH7dy5U/3uQkNDze7Ru3fvMiEhgQD4wgsv2K3rcf2O3n//fQJgRESE5v4jR46oda1YscLhc3rmmWf4448/WtS3Z88eAmBMTAwvXbrES5cuMSYmxmy88aZNmzQ/zxHDhg2zGM/8MGWE0CIBqBBO0tTUpPb+rVy5khs3bqROp2OnTp1YXFzsUB2rV6+2OkPW1t+ZM2fs1q087L744guLfdu3b7fac0PeH182fvx4h9pBkvPmzbP6eeT9gMPPz4/FxcWMiooiAE6dOlWzfOvWrQnA5rW8efMm4+PjLR7wbm5uHDx4MHNyciyOuX37Nl1cXAjYn8UeFhZGANywYYPFPh8fHwJgYWGh2fbCwkLq9Xq6u7tr1u9Iu6KjowmAW7dutdg3fPhwzQBk7ty5BMAlS5aYtRVoHuvqKK16SPLAgQNqcPQoKJNrjEYjS0pKLPYrPbE6nY41NTU263pcvyNl0pVOpzPrlVSYBpmLFi0y27d06VIuW7aMp06dYnV1NcvLy7l37151/K+bm5tmAJyYmGhxP7/55pskycrKSvr7+7Nv375sbGxUj7l37x7v3Lljsy3k/d/ozJkz/1UZIbRIACqEEymTWXx8fOjq6sr27ds7FBw6g/Lw0nq4FxUVEQBdXV3V3ltTOTk5BMDBgwdb7KuoqOD69es5Z84cTpgwQX2YKw/W6dOnWz2ntLQ0AlB7+CIiIixe85P3AycArKqqstvWc+fOcfHixXz55ZfZqlUrs4f37Nmzzcr++uuv6jnYm4CkBKqnT5+22K8EiS17UV966SUC4Ny5cx+6XdOmTSMAzp8/32x7fn4+AfD555+3eD0fGxtLANy/f7+6raGhQb0eEydO5MWLF61+pq16yPtpeuwNW3DUq6++qtlGRWNjI11dXQmA165deySf+TCU7/nZZ59lTk4Ob968yb/++ouzZs2iTqdT0zG1nGhmTVNTk/pPk1bvblNTE7du3copU6Zw6tSpzM7OVu/TCRMm0M3NjUVFRSSbe8OHDh2qnkPXrl25efNmq5/96aefEgBHjRr1r8oIoUUCUCGcTAm8jEYjCwoKnvTpqJRAx7SnRFFSUkKgeRyoFiWwHjRokNn2rKwstQfP2p/pWLWWGhoa2L17dwJg69atrfYC/v3332p9D/q6t76+nrt27VI/R6fT8cKFC+r+zMxMh3ryDh48qJ6n1jWcMmUKAfMZ4Tt27FBfsWoNA3C0XV9//TUB8I033lC3NTY2slevXprBIXm/R9b0tTxJfvvtt2bfWXh4ONPT0y16bu3Vo/TM2Ru24Chl+IXpd2OqtraWAKjX6zWvv7OUl5ervfUt/1JTU9XxzVlZWQ7XefLkSbWOS5cuOXRMfn4+dTqder9VV1czKCiI3t7ezMzM5Pbt29Xz1Or5J5t/v0DzmGlrHCkjhBZXCCGcZt26dThy5AgAoL6+Hl5eXg90/Jo1a6yuYGJLeno6wsLCHCrr4mI9OYatfS0dP34cKSkp0Ov1WLJkCeLi4hAYGIhWrVpBp9MhKysLKSkpNldSOXr0KM6dOwcAqKmpQVFREYKDgy3Kmc44vnXr1gNdV3d3dwwdOhTt2rVD3759QRJFRUUICQkBABQWFgIAunXrZrOe/Px8AEBUVJTmdWo5E/7u3buYM2cOAGDJkiVo06bNQ7erZ8+eAJpXXVKsW7cOBQUFiI+PR2xsrFn5kpISVFZWIjg4GD4+Pmb7Ro8ejddeew07d+5EXl4e9u3bh8WLF2Px4sWYOXMmli5d6lA9x48fB9A8I/zfKi0tRUVFBXx9fdXvpSXld9WjRw+79+nj/B116NABhw4dwv79+3HgwAH8888/8Pf3R3x8PCIiIhAQEAAACA8Pd/hzTe+9srIydO7c2Wb5+vp6pKSkoGvXrmomgu+//x4XL15EVlYWkpOTAQDR0dEIDAxERkYG4uLiLOpRshq0/G4ftIwQmp50BCzEf8WWLVuo1+vp5+en9g4lJCQ8UB3OmISkRekBDQoK0tyv1QOqzLy2NjZs9uzZBMBx48Zp7r9+/bqaOWD8+PHU6XT08fExmwBlypGxkraY9jaaroKkvP5MS0uzemxTU5M6/tPaZI/Dhw8TAENCQkjef0Xdv39/m72bjrSrrq6Orq6udHFxYW1tLaurq9mxY0caDAbNHkMlsb0j9199fT0///xzNb+p6Qx2a/UoifvtDVtwlPI5zz33nNUyY8eOJQAuWLDAbn2P83dky4ULFwg0j2vWGkpizZUrV9RzUF6n2zJ//nyL83333XcJgKdOnTIr27t3b3p6emrWk56ebvM37GgZIbRIHlAhnCA3NxdvvfUWWrdujby8PKxcuRK+vr7Ytm2b2Xrf9nzzzTdg89CZB/qLiYl5fI2z4saNGwCAoKAgi311dXXIzs62eixJjBkzBmVlZRg7dizWrl2LWbNmobKyEomJiWhoaLA4RsmDqeS5bFmfPUoOSaPRiP79+6vbO3ToAAA4efKk1WPXrl2Ls2fPwsfHB2PGjNEsEx4eDp1Oh5KSEpSWluLjjz+Gi4sLli9fbjO3qK12KQwGA8LCwtDU1IQ///wTixYtwtWrV5GamqrZY6j0TtrKHapwd3dHamqqmmvSdK13a/WcPn0aJNGjRw+bbXPUH3/8AQC4cuUK6uvrLfYfP34c3333Hfz8/DB16lS79T2p39Gnn34KAJg4cSLc3d0dPm7z5s0AAC8vL6s5bhVnz55FRkYG3nnnHbPzVb6Hmpoas/I1NTVWvyOlt95WL7YjZYTQ5JQwV4j/sIMHD9LT05Oenp7Mz89XtyuD9/v06fMEz+4+POIeUCUnZq9evVhdXa1uv3PnDsePH69+nlYP6MKFCwk05828ffs2yebxoEqKIGWddVNKvkytVXfmzZvHlJQUi94fsnnsYGZmppqzsuWs/NzcXPVcMzMzzcYXNjQ0cNWqVeqx9lLRKPkq+/TpQwCcMGGCzfL22mVKWRXnww8/pMFgYMeOHc2uu6lXXnmFAJiXl6du27dvH7Ozsy1yTt67d09d0ahleiGtesj742F79+5t85zXrVtn875SKBO1AHDevHlm+44dO8aAgADqdDqHV/l5nE6fPm0xYayhoYELFy6kTqdjaGioek8rCgoK+MMPP1hM8GtsbOSaNWvU+8tWjluyuSd+4MCB9Pf3txiTu3r1agJgcnKyuk2ZpKa1MhNJdelQWzk+HSkjhBYJQIV4jI4ePUqj0Uh3d3eLPH51dXUMCgp6pBM1/o1HHYBWVlaq7fPz8+Prr7/O4cOHs0OHDjQajeoyfi0D0Pz8fOr1erZq1cpiNvnFixfp6+tLANy5c6fZPiUB94svvmhxfgMHDlTbFxwczGHDhjEpKYmDBg1S6/Pw8OCyZcs026fk6QTAgIAAxsTEcNCgQeoEHHd3dy5fvlzzWFOmKaC8vb0dmq1tq12mlFf6er2eALh27VqrZZWgoaKiQt02ceJEAs2TqAYOHMikpCTGxcWxU6dOBJonoLXMM6pVD9n83SvXJjIykmPGjOG4ceMsXmErk6daJsM31dTURG9vbwJQh3WEh4czMTGR/fr1o06no4uLi0PX3xlmzJhBDw8PRkVFceTIkYyPj1cT+4eGhmpmmVAmo/n4+DA2NpajRo3ikCFD1EUgADApKUkzA4WpVatWEYDmzPbbt2+r+XojIyMZHx9PT09P6nQ67tmzx6K8I/edo/emEFokABXiMSksLKSvry/1er1mfkaS3LBhgzq2zdpqJ87yqANQsnkc5+TJkxkSEkKDwcCAgACOHj2a58+fV3u/TAPQa9euMSAggID1NbFzcnLU8aAtH+ZKhgHTddhJ8syZM1y2bBmHDRvG7t2709fXl66urvT19WXfvn35wQcf2E05lJ2dzcGDB9PPz496vZ5eXl7s2bMn09LS7OYHVSi5LAHtVaCssdYuU/v27VPrjoiIsDr2srS0lEDzKkemfvrpJ06fPp0RERH09/enq6srjUYjIyMjuWDBAotePWv1KH777TfGxsaqQSoA/vLLL2ZllIUBMjIyrLbr3LlzBMAuXbqQJJcvX86wsDAaDAa2b9+eI0aM4LFjx6we72x5eXmMj49n586daTAY6OXlxcjISH7yySesra3VPKa4uJipqakcMGAAO3XqRA8PDxoMBgYGBjIhIcHmIgSKq1ev0tvbW3MxA0VZWRmTkpLo4+NDd3d3RkREWKy8pZg+fToB2+u8O1JGCGt0pAODo4QQ4n/Atm3bMGLECKSlpeGzzz570qfzyDyt7eratSvu3LmD8+fPw9PTU7PMpk2bMGrUKCQmJqpjIcXjVVdXh86dO8PNzQ0lJSUwGAwPVUYIW2QSkhDiqZGQkICoqCisWrUK5eXlT/p0HpmnsV2lpaW4cOECPvroI6vBJwAcO3YMABAZGemsU/vPy8zMREVFBTIyMqwGlo6UEcIW6QEVQjxVCgoKEBERgUmTJmHFihVP+nQemae1XfZER0fj0KFDyM/PR3R09JM+nadeVVUVunTpgtDQUPz++++aM+QdKSOEPRKACiGE+H+pqakJbdu2RW1tLaqqqjST9Qsh/jdJACqEEEIIIZxKxoAKIYQQQginkgBUCCGEEEI4lQSgQgghhBDCqSQAFUIIIYQQTiUBqBBCCCGEcCoJQIUQQgghhFNJACqEEEIIIZxKAlAhhBBCCOFUEoAKIYQQQginkgBUCCGEEEI4lQSgQgghhBDCqf4P73EUkCRlBH0AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "p0: [0.25012563 0.18862822 0.84495162 0.3054373 ]\n", "p_opt : [1.20817986 0.14769608 1.25791406 0.20412236]\n", "L_opt : 6.038901087062556\n", "grad_opt : [-0.00068464 0.00050832 0.00037949 -0.00034546]\n", "hess_opt : [[ 1335.65403349 -6054.70770005 -749.8933367 2547.76037241]\n", " [ -6054.70770005 29408.98826989 3392.00482764 -12304.77157577]\n", " [ -749.8933367 3392.00482764 421.46620576 -1426.87651769]\n", " [ 2547.76037241 -12304.77157577 -1426.87651769 5152.18707702]]\n", "pcov: [[ 5.26066577 -1.45968298 7.98772677 -3.87534097]\n", " [-1.45968298 0.48476426 -2.16860629 1.27897191]\n", " [ 7.98772677 -2.16860629 12.19508654 -5.75175856]\n", " [-3.87534097 1.27897191 -5.75175856 3.37814754]]\n", "hess_evals: [3.62036800e+04 1.12932204e+02 4.83133704e-02 1.63511560e+00]\n", "faulty bs: 0.0\n", "outliers: 0.543\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 6.6 s, sys: 1.51 s, total: 8.11 s\n", "Wall time: 6.26 s\n" ] } ], "source": [ "%%time\n", "#gen_plots(95, \"lung\", \"trunc_Gauss\", \"Bayes_mvn\", alpha, title)\n", "gen_plots(95, \"lung\", \"Gauss\", \"Bayes_mvn\", alpha, bootstrapping = \"param\")\n", "gen_plots(95, \"lung\", \"log_normal\", \"Bayes_mvn\", alpha, bootstrapping = \"param\")" ] }, { "cell_type": "markdown", "id": "61f8e440-4cae-427d-8864-c208f6975d6d", "metadata": {}, "source": [ "#### Bowel" ] }, { "cell_type": "code", "execution_count": 13, "id": "02ac712c-1658-4120-92bb-84cb78d9bb9d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p0: [3.29019865 1.61425315 4.86590897 2.14788649]\n", "p_opt : [10. 0.86955279 9.65768441 0.89870146]\n", "L_opt : 19.43358714106926\n", "grad_opt : [-7.72706044e-01 1.31727870e-04 2.02230685e-05 -2.03341742e-04]\n", "hess_opt : [[ 261.22306476 -1898.69350455 -232.92406747 1536.34035768]\n", " [ -1898.69350455 14316.76465226 1684.12168264 -11636.81534139]\n", " [ -232.92406747 1684.12168264 208.56454589 -1365.57145649]\n", " [ 1536.34035768 -11636.81534139 -1365.57145649 9496.04439595]]\n", "pcov: [[4.36547036 0.50695758 3.84970697 0.46857125]\n", " [0.50695758 0.08006904 0.42845915 0.07771455]\n", " [3.84970697 0.42845915 3.4932437 0.40455937]\n", " [0.46857125 0.07771455 0.40455937 0.07770811]]\n", "hess_evals: [2.42389682e+04 2.98064519e+01 1.26424106e-01 1.36955771e+01]\n", "faulty bs: 0.0\n", "outliers: 0.998\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "p0: [1.11554265 0.35077766 1.49665276 0.40295539]\n", "p_opt : [5.1362801 0.5105663 5.16478672 0.55889494]\n", "L_opt : 16.909133931092367\n", "grad_opt : [ 0.00677444 0.00052347 -0.00073484 -0.0002363 ]\n", "hess_opt : [[ 985.93708014 -7253.01328509 -829.13646904 5593.51934876]\n", " [ -7253.01328509 54049.94718834 6097.93443327 -41688.59187563]\n", " [ -829.13646904 6097.93443327 697.3131575 -4702.91282738]\n", " [ 5593.51934876 -41688.59187563 -4702.91282738 32143.58272973]]\n", "pcov: [[18.26479192 -0.25478537 21.22861284 -0.40287341]\n", " [-0.25478537 -0.05114695 -0.30504237 -0.0666287 ]\n", " [21.22861284 -0.30504237 24.78023679 -0.46417197]\n", " [-0.40287341 -0.0666287 -0.46417197 -0.08418902]]\n", "hess_evals: [ 8.78618719e+04 2.16127038e+01 2.32492979e-02 -6.72770065e+00]\n", "faulty bs: 0.0\n", "outliers: 0.957\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_453819/1504475597.py:128: RuntimeWarning: covariance is not symmetric positive-semidefinite.\n", " ps = np.random.multivariate_normal(popt, pcov, Nsamples)\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 5.86 s, sys: 1.7 s, total: 7.56 s\n", "Wall time: 5.53 s\n" ] } ], "source": [ "%%time\n", "#gen_plots(95, \"bowel\", \"trunc_Gauss\", \"Bayes_mvn\", alpha, title, bootstrapping = \"param\")\n", "gen_plots(95, \"bowel\", \"Gauss\", \"Bayes_mvn\", alpha, bootstrapping = \"param\")\n", "gen_plots(95, \"bowel\", \"log_normal\", \"Bayes_mvn\", alpha, bootstrapping = \"param\")" ] }, { "cell_type": "markdown", "id": "26314f04-8a6f-441a-880b-ddb84d862950", "metadata": {}, "source": [ "#### Thyroid" ] }, { "cell_type": "code", "execution_count": 14, "id": "d4ff1bf6-9705-49a9-b1f2-5f6cb12d4740", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p0: [1.93132713 0.86265893 3.0787539 0.80272578]\n", "p_opt : [4.49411615 0.68661841 4.38399171 1.43053692]\n", "L_opt : 13.600206631527216\n", "grad_opt : [ 1.80980621e-04 -5.28727158e-04 -3.96106867e-05 3.13843577e-05]\n", "hess_opt : [[ 73.63943333 -202.08039594 -16.11083617 11.26317595]\n", " [-202.08039594 654.89668859 44.14752124 -41.37362655]\n", " [ -16.11083617 44.14752124 3.5264383 -2.47418311]\n", " [ 11.26317595 -41.37362655 -2.47418311 2.97977607]]\n", "pcov: [[-8.09888101e+03 -3.85011156e+02 -3.46231592e+04 -3.48154408e+03]\n", " [-3.85011156e+02 -1.82374853e+01 -1.64637944e+03 -1.64960961e+02]\n", " [-3.46231592e+04 -1.64637944e+03 -1.48012321e+05 -1.48868699e+04]\n", " [-3.48154408e+03 -1.64960961e+02 -1.48868699e+04 -1.49126364e+03]]\n", "hess_evals: [ 7.23873067e+02 1.10056376e+01 -6.34409458e-06 1.63638536e-01]\n", "faulty bs: 0.0\n", "outliers: 0.523\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_453819/1504475597.py:128: RuntimeWarning: covariance is not symmetric positive-semidefinite.\n", " ps = np.random.multivariate_normal(popt, pcov, Nsamples)\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "p0: [0.59700666 0.32538502 1.08690741 0.28239884]\n", "p_opt : [1.45315619 0.14786149 1.44589027 0.18325949]\n", "L_opt : 15.614445409140247\n", "grad_opt : [ 7.70470042e-05 -5.27261086e-03 -2.84695822e-04 3.49462283e-03]\n", "hess_opt : [[ 2663.10585929 -10072.69725782 -1745.9752372 4981.89080242]\n", " [-10072.69725782 46434.49652544 6476.79530106 -23218.16594797]\n", " [ -1745.9752372 6476.79530106 1167.0561929 -3302.2471191 ]\n", " [ 4981.89080242 -23218.16594797 -3302.2471191 11734.6067766 ]]\n", "pcov: [[-0.00744691 -0.00461242 -0.01188137 -0.00930815]\n", " [-0.00461242 -0.00077867 -0.00686037 -0.00151308]\n", " [-0.01188137 -0.00686037 -0.01463101 -0.0126471 ]\n", " [-0.00930815 -0.00151308 -0.0126471 -0.00251586]]\n", "hess_evals: [ 6.11910259e+04 6.94405382e+02 -2.95845045e+01 1.43418569e+02]\n", "faulty bs: 0.0\n", "outliers: 0.965\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_453819/1504475597.py:128: RuntimeWarning: covariance is not symmetric positive-semidefinite.\n", " ps = np.random.multivariate_normal(popt, pcov, Nsamples)\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 7.69 s, sys: 1.63 s, total: 9.32 s\n", "Wall time: 7.4 s\n" ] } ], "source": [ "%%time\n", "#gen_plots(75, \"thyroid\", \"trunc_Gauss\", \"Bayes_mvn\", alpha, title, bootstrapping = \"param\")\n", "gen_plots(75, \"thyroid\", \"Gauss\", \"Bayes_mvn\", alpha, bootstrapping = \"param\")\n", "gen_plots(75, \"thyroid\", \"log_normal\", \"Bayes_mvn\", alpha, bootstrapping = \"param\")" ] } ], "metadata": { "colab": { "provenance": [] }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }