{ "cells": [ { "cell_type": "markdown", "id": "078900c6-d71d-44f0-9e76-cc5ce66f0ca9", "metadata": { "id": "078900c6-d71d-44f0-9e76-cc5ce66f0ca9" }, "source": [ "# Logistic regression with uncertainties" ] }, { "cell_type": "markdown", "id": "e0de7f02-942b-42ff-874c-3c0e2ac1e0dc", "metadata": { "id": "e0de7f02-942b-42ff-874c-3c0e2ac1e0dc" }, "source": [ "## Data & common" ] }, { "cell_type": "code", "execution_count": 1, "id": "40c9c487-ff42-4463-b105-4d7bf75d8f6f", "metadata": {}, "outputs": [], "source": [ "choice_setup = 1 # 0 for MD, 1 for MH" ] }, { "cell_type": "code", "execution_count": 2, "id": "56ecf5e9-308d-411b-be22-c5a1ac001717", "metadata": {}, "outputs": [], "source": [ "if choice_setup == 0:\n", " from google.colab import drive\n", " drive.mount('/content/drive')" ] }, { "cell_type": "code", "execution_count": 3, "id": "be75450c", "metadata": { "id": "be75450c", "tags": [] }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import pandas as pd\n", "import seaborn as sns\n", "\n", "from scipy import io\n", "import scipy.stats as ss\n", "\n", "from sklearn import linear_model\n", "import os" ] }, { "cell_type": "code", "execution_count": 4, "id": "3373f87f", "metadata": { "id": "3373f87f", "tags": [] }, "outputs": [], "source": [ "topic = \"logit\"\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}/\"\n", " figsext = \".eps\" # figure extension\n", "elif choice_setup == 1:\n", " data_path = \"../data\"\n", " figsdir = f\"./figs/{topic}\"\n", " figsext = \".pdf\" # figure extension\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": "811d990d", "metadata": { "id": "811d990d", "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": "b47b0289-1378-40a8-88e2-acfed4c4cd69", "metadata": { "id": "b47b0289-1378-40a8-88e2-acfed4c4cd69" }, "source": [ "## Testing" ] }, { "cell_type": "markdown", "id": "35e9bb7b-5a50-4cae-9af4-261c11453dd4", "metadata": { "id": "35e9bb7b-5a50-4cae-9af4-261c11453dd4" }, "source": [ "### General ideas" ] }, { "cell_type": "code", "execution_count": 6, "id": "ae5d1e06-5122-400d-a9ab-7f04867f8cdb", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 9, "status": "ok", "timestamp": 1733838433084, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -60 }, "id": "ae5d1e06-5122-400d-a9ab-7f04867f8cdb", "outputId": "a55e5243-c612-4fa3-9da9-662a064b45e5" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(58, 17, 100)\n", "(58,)\n" ] } ], "source": [ "\"\"\"\n", "Extracting only data associated to organ of interest, you need to choose data and column of flags that shoud be taken depended on data\n", "\"\"\"\n", "# in suv values can be (choose one of them): 'lung_SUVperc_COMBINED' , 'bowel_SUVperc_COMBINED' or 'thyroid_SUVperc_COMBINED'\n", "# in flags choose the column depended on the data of interest (1 for bowel, 3 for lung, 5 for thyroid)\n", "\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58,:,:]\n", "flags = flags_dict['flags'][0:58,3]\n", "\n", "print(suv.shape)\n", "print(flags.shape)" ] }, { "cell_type": "code", "execution_count": 7, "id": "a70c64a3", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 8, "status": "ok", "timestamp": 1733838433084, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -60 }, "id": "a70c64a3", "outputId": "a4cc1e1b-e752-45b5-a76d-43d3f664b159", "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n", "[1 1 1 1 1]\n" ] } ], "source": [ "print(flags[flags==0])\n", "print(flags[flags==1])" ] }, { "cell_type": "code", "execution_count": 8, "id": "9b894e29", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 5, "status": "ok", "timestamp": 1733838433084, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -60 }, "id": "9b894e29", "outputId": "1797f635-0fc6-46af-8a3f-6935f385383b", "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(58, 1)\n" ] } ], "source": [ "p = 94 # choose percentile of interest (for lung and bowel 95, for thyroid 75), numerating here is from 0 so take the one less\n", "X = np.nanmax(suv[:,:,p], axis=1).reshape(-1,1)\n", "\n", "print(X.shape)" ] }, { "cell_type": "markdown", "id": "6deba69b-9c9c-47b6-b02d-f40998729aa1", "metadata": { "id": "6deba69b-9c9c-47b6-b02d-f40998729aa1" }, "source": [ "Logistic regression documentation:\n", "* https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", "* https://stats.stackexchange.com/questions/186830/what-is-scikit-learns-logisticregression-minimizing" ] }, { "cell_type": "markdown", "id": "FhyIAER1E7PZ", "metadata": { "id": "FhyIAER1E7PZ" }, "source": [] }, { "cell_type": "code", "execution_count": 9, "id": "239ae789", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 492, "status": "ok", "timestamp": 1733842169917, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -60 }, "id": "239ae789", "outputId": "ed8c1661-233c-47a7-b2a1-136677e6fe36", "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "w0: [-5.33495652]\n", "w1: [[1.90942694]]\n" ] } ], "source": [ "#ovo nam ne odgovara jer nama treba regularizacija da bi nam parametri bili ograniceni\n", "#logr = linear_model.LogisticRegression(penalty='none')\n", "#clf = logr.fit(X, flags)\n", "clf = linear_model.LogisticRegression(random_state=0).fit(X, flags)\n", "\n", "# underlaying linear model coefficients\n", "#print(\"w0:\", logr.intercept_)\n", "#print(\"w1:\", logr.coef_)\n", "\n", "#ov parametri ne odgovaraju onima koje sam imala pre\n", "print(\"w0:\", clf.intercept_)\n", "print(\"w1:\", clf.coef_)" ] }, { "cell_type": "code", "execution_count": 10, "id": "G5Pszy_NAtW0", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 484, "status": "ok", "timestamp": 1733842427359, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -60 }, "id": "G5Pszy_NAtW0", "outputId": "588baab3-2d12-4654-e89a-adf2519fd80d" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "w0: [-11.68319035]\n", "w1: [[5.68708926]]\n" ] } ], "source": [ "logr = linear_model.LogisticRegression(None)\n", "clf = logr.fit(X, flags)\n", "\n", "\n", "# underlaying linear model coefficients\n", "print(\"w0:\", logr.intercept_)\n", "print(\"w1:\", logr.coef_)" ] }, { "cell_type": "code", "execution_count": 11, "id": "54f463d0", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 493 }, "executionInfo": { "elapsed": 978, "status": "ok", "timestamp": 1733842571838, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -60 }, "id": "54f463d0", "outputId": "a5fad6b1-8c25-4d6f-d7f5-06a740376da5", "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 6, 100)\n", "y = logr.predict_proba(x.reshape(-1,1))\n", "\n", "plt.title(\"Prediction probability of AE depending on maxSUV value\")\n", "plt.xlabel(r\"$x = max_{visit} SUV(visit, p)$\")\n", "plt.ylabel(\"P(AE|X=x)\")\n", "\n", "plt.scatter(X[flags==0], flags[flags==0],label=\"NC\")\n", "plt.scatter(X[flags==1], flags[flags==1],label=\"AE\")\n", "\n", "plt.plot(x, 1/(1 + np.exp(-logr.intercept_[0] - logr.coef_[0,0]*x)), label=\"logistic reg\")\n", "plt.legend(loc='center right')" ] }, { "cell_type": "code", "execution_count": 12, "id": "2c16aad9", "metadata": { "id": "2c16aad9", "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Covariance matrix: \n", " [[12.31854544 -6.71118734]\n", " [-6.71118734 3.81820749]]\n", "Standard errors: [3.50977855 1.95402341]\n", "logitParams: [-11.68319035 5.68708926]\n" ] } ], "source": [ "#Ref:\n", "# https://stats.stackexchange.com/questions/89484/how-to-compute-the-standard-errors-of-a-logistic-regressions-coefficients\n", "\n", "# Calculate matrix of predicted class probabilities.\n", "predProbs = logr.predict_proba(X) #has two col. p, (1-p)\n", "\n", "# Design matrix -- add column of 1's at the beginning of your X_train matrix\n", "X_design = np.hstack([np.ones((X.shape[0], 1)), X])\n", "\n", "# Initiate matrix of 0's, fill diagonal with each predicted observation's variance\n", "V = np.diagflat(np.product(predProbs, axis=1)) #dig.matrix where each element is p*(1-p)\n", "\n", "# Covariance matrix C_params = (X^T V X)^-1, params = (b0,b1)\n", "covLogit = np.linalg.inv(np.dot(np.dot(X_design.T, V), X_design))\n", "print(\"Covariance matrix: \\n\", covLogit)\n", "\n", "# Standard errors\n", "print(\"Standard errors: \", np.sqrt(np.diag(covLogit)))\n", "\n", "# Wald statistic (coefficient / s.e.) ^ 2\n", "logitParams = np.insert(logr.coef_, 0, logr.intercept_)\n", "print(\"logitParams:\", logitParams)" ] }, { "cell_type": "code", "execution_count": 13, "id": "2f0ac198", "metadata": { "id": "2f0ac198", "tags": [] }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Logistic regresion modeling with estimated uncertainties')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Direct approach to variance in logit regression:\n", "#\n", "# f(x|p*) p ~ N(p*,C_p)\n", "#\n", "\n", "f = lambda x, p: 1/(1 + np.exp(-p[0] - p[1]*x))\n", "fopt = lambda x: 1/(1 + np.exp(-logitParams[0] - logitParams[1]*x))\n", "\n", "#generate parameters and points in x axis\n", "ps = np.random.multivariate_normal(logitParams, covLogit, 1000)\n", "xs = np.linspace(0, 6, 100)\n", "\n", "# generate values in y axis\n", "yopts = fopt(xs)\n", "ys = np.array([np.fromiter(map(lambda p: f(x,p), ps),float) for x in xs])\n", "\n", "# doing statistics on values\n", "mys = np.median(ys,axis=1)\n", "alpha=0.05\n", "yerr_min = np.quantile(ys, alpha/2, axis=1)\n", "yerr_max = np.quantile(ys, 1-alpha/2, axis=1)\n", "\n", "plt.xlabel(\"x = maxSUV\")\n", "plt.ylabel(\"P(AE|X=x)\")\n", "plt.scatter(X[flags==0], flags[flags==0],label=\"NC\")\n", "plt.scatter(X[flags==1], flags[flags==1],label=\"AE\")\n", "plt.plot(xs, yopts, label=\"fit logit model\",color=\"red\")\n", "#plt.errorbar(xs, mys, yerr = [mys-yerr_min, yerr_max-mys], label=\"direct variance\",fmt=' ')\n", "plt.fill_between(xs, yerr_min, yerr_max, alpha=0.5, label=\"confidence interval\")\n", "\n", "plt.legend(loc='center right')\n", "plt.title(\"Logistic regresion modeling with estimated uncertainties\")" ] }, { "cell_type": "markdown", "id": "6a1a899c-ac8a-44e8-bad6-04262e429913", "metadata": { "id": "6a1a899c-ac8a-44e8-bad6-04262e429913" }, "source": [ "### Distribution of parameters via BS" ] }, { "cell_type": "code", "execution_count": 14, "id": "712f33c6-b772-4c90-b2e0-ad9336fc8d83", "metadata": { "id": "712f33c6-b772-4c90-b2e0-ad9336fc8d83" }, "outputs": [], "source": [ "# loading data for lungs\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58,:,:]\n", "flags = flags_dict['flags'][0:58,3]\n", "\n", "per = 94 # choose percentile of interest (for lung and bowel 95, for thyroid 75), numerating here is from 0 so take the one less\n", "X = np.nanmax(suv[:,:,per], axis=1).reshape(-1,1)" ] }, { "cell_type": "code", "execution_count": 15, "id": "8d8c5f8a-f065-4980-a313-786e0df9b2c2", "metadata": { "id": "8d8c5f8a-f065-4980-a313-786e0df9b2c2" }, "outputs": [], "source": [ "gauss = lambda x, mu, var: np.exp(-(x - mu)**2/(2*var))/np.sqrt(2*np.pi*var)" ] }, { "cell_type": "code", "execution_count": 16, "id": "d2ff06ca-e6f3-4442-9bce-29ee929c0071", "metadata": { "id": "d2ff06ca-e6f3-4442-9bce-29ee929c0071", "tags": [] }, "outputs": [], "source": [ "rng = np.random.default_rng()\n", "\n", "def get_params(idx = None):\n", " if idx is None:\n", " idx = rng.choice(n, n)\n", " while (flags[idx] == 0).all() or (flags[idx] == 1).all():\n", " idx = rng.choice(n, n)\n", " \n", " penalty = 'none' if choice_setup == 0 else None\n", " clf = linear_model.LogisticRegression(penalty = penalty).fit(X[idx], flags[idx])\n", " \n", " return np.insert(clf.coef_, 0, clf.intercept_)" ] }, { "cell_type": "code", "execution_count": 17, "id": "69792c6a-18d5-43c1-b1f9-a0744beb1ebb", "metadata": { "id": "69792c6a-18d5-43c1-b1f9-a0744beb1ebb", "tags": [] }, "outputs": [], "source": [ "# original p0\n", "n = len(X)\n", "p0 = get_params(np.arange(n))\n", "\n", "# bootstrapping\n", "ps = np.array([get_params() for _ in range(10**5)])" ] }, { "cell_type": "code", "execution_count": 18, "id": "a97debd2-00cf-4ebc-9b50-da847daf6d63", "metadata": { "id": "a97debd2-00cf-4ebc-9b50-da847daf6d63", "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plotting distribution of parameters\n", "sns.set(rc={\"figure.figsize\":(6, 4), \"font.size\": 14})\n", "\n", "ax = sns.jointplot(x = ps[:,0], y = ps[:,1], kind ='kde', fill=True)\n", "ax.set_axis_labels(xlabel= f\"$\\\\beta_0$\", ylabel=f\"$\\\\beta_1$\")\n", "\n", "plt.text(0.04, 0.9, \"(a)\", fontsize=16, horizontalalignment='center', \n", " verticalalignment='center', transform=ax.figure.transFigure)\n", "plt.savefig(os.path.join(figsdir, \"logit_boots\" + figsext), bbox_inches='tight')\n", "plt.show()\n", "sns.reset_orig()" ] }, { "cell_type": "code", "execution_count": 19, "id": "4f08a287-fdcb-47cc-a2fd-55ddba066ce8", "metadata": { "id": "4f08a287-fdcb-47cc-a2fd-55ddba066ce8" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "size_selectd: 63617\n" ] }, { "data": { "image/png": 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Y2zdgls/BXL0Wxk+OyqebN7WAt3ef4fUdp7lhVXSuKSLDL+Yha/LkyQBUV1cHfb69vZ0tW7awdOnSHo+/8MILACxbtizo+3zTiIEL5kUkuI5jR6l75ilatm31bxiaPr2cvKvfhWPe/B5TgoGa27p46MVKNu6roXxCLlctGU9GWgJuzTBcLFaYtQBz5nzMqmMY616FA7sxKr2/zIlTMFethWkzh7RIPj3VxsxJ+by6tYp3LZ84sjuGIiNYzEOW787A7du39/uab3zjG/zhD3+gqKgIgM2bN/PrX/8au93Obbfd1uf1Ho+HHTt2YLPZmDdvXkzqFhkJ2g7sp+7pJ2nbu8f/mGPhIvKvuZb0qdMGfO+WA+f44/P7cbk9XL9yEjMn5SX14vaoMgyYUIY5oQxqa2DdK7BzM8aJIxgnjmCWjsO86EqYMReMyALS4vIidh05z6b9NaycPYybuopI1MQ8ZE2dOpXJkydz+PBh6urqyM/veW5YYWEhnZ2dXH311axYsYLW1lY2bdqEx+PhG9/4BuXl5X2uuX//fpqbm1m1alW/e2+JjFamadK6Zzd1T/2T9oOV3gctFrKWryD/mutI7edOX5+WdicPvVjJhr3VTB+fw5VLJiTmxqKJorAY84Z/gUuugQ2vw5Z3MM6ewvjbA5iFJZirr4A5C71dsDAU56UzuTSL5zacYMWsEgVckSQ0LMfqvPe97+W+++7j+eef5wMf+ECP5zIyMnjwwQf53//9X9566y3cbjdLlizh05/+NCtXrgx6veeffx6AW2+9Nea1iyQL0zSp27yFYw89QvuRw4B3a4Ls1WvIv+Za7N2d4oHsPnqe3z29j84uN9etnMQsda9Cl52LeeW7YfVa2PAGbHoTo7Ya4x8PYb75vLezNWexd3+uEC2bWcyjrx5m7/F6Zk9OrIOtRWRww3KsTmtrK2vXrqW0tJQnnnhiSNdyuVxceuml5OTk8OSTT/ZZMD9UOlYnvjR24TNNk9Yd26l76h90HDsGeHdlz7n4UvKufhf2vLxBr+F0eXjs9cO8sOmkd2PR5Um2segQWa0GWVnpNDe343ZH6VtiRztsfgtj/esY7d5NXc3cfG/YmrfEe9biIEzT5I/PHyA/O40vfaDvpsyJQP9mI6djdUa+YelkORwO7rzzTu699142b97MkiVLIr7Wc889x7lz5/ja174W9YAlkkxMj4eW7duoe/IfdJ48AYAlLY28yy4n54qrseWEdgdgbUM7P39iN1U1LVy2cBxLKorUvYqGtHS46ErMZRdjbn4bY92rGA11GE89gvnmC95pxPnLoJ9tasC7WfPyWSX88+1jHKxqYPr43OGrX0SGbFg6WQBdXV28//3vJyUlhYcffjiib+JdXV28613vYtq0afz617+OQZXqZMWbxm5wpsdDy9YtnH/qn3RVnQTASE0j/4ormPovt9DitoY8dnuO1fHLv+/GbrPw7ovKKM0fvnP6EklMOlm9dXXC1nUY617BaPF+nzGzc71bPyxY0W/YMk2TB547QGFOYnaz9G82cupkjXzD0skCSElJ4b777uPmm2/mySef5MYbbwz7Gg888ABtbW185zvfiUGFIonN9Hho2bzJG65OnwK8navctVeSd+XVpOZmY892QH1rSNd7ddspHnrhAJNKs7hh1WTSUobt28HolJIKKy7FXLwKc9t6jHdewWhqwHj2Mcy3XsJcdTksXAH2ntO0hmGwek4pT7x1lAMn6qmYOPj0r4gkhmHrZCULdbLiS2PXl+l207xxA3VPP0nXWe9ZnZb0dHKvuIq8K67C6nAAoY+daZr8/c0jPPXOcRaVF3H5wnFYLKN7enBYOlm9uZywbQPGOy9jNDUAYGZmYa68HBav6hG2fGuzMtJsfO32JVgSaDpX/2Yjp07WyKcfXUUSlOly0bT+HeqeeRpnjXczX0uGg7wrryJ37RVYMxxhX9Njmjz0QiWvbjvFJQvGsnxmSbTLllDZ7LD0IsyFKzB3bMB4+2WMxnqMF/+B+fbLmCsugSUXQWoahmFw2cJxPPzKITburWaF9s0SSQoKWSIJxtPVRdNbb1D33LO46rwHrFszs8i76mpyLluLNT09suuaJn96/gBvbD/NNcsmMm9qQTTLlkjZbN4Dpxcsx9yxCePtl7wL5F95GvOdVzGXrYFla5hYkkX5+Bz++tphFpYXkWoPb98tERl+ClkiCcLd3k7j669S/8JzuJuaALDm5JB31TXkXnIZlrS0iK9tdnew3th+mmuWT2TuFAWshGO1waKVmAuWYe7a6g1b52sw3ngec/1rsHgVl85Zye/faOKpd45xyyVT412xiAxCIUskzlyNjTS8/CINr76Mp70dAFt+Afnvupbsi9ZgsQ9tvyrTNPnrq4d5ddsprlmmgJXwLFaYvxRz7mLMfTu8Yav6NKx7lbyNb/LBCXN48s0mls8qYXyRTrwQSWQKWSJx0lV9lvoXX6Dp7TcxnU4AUkrHkHfNtWSvWIkxwP5J4XjqnWM8t/EEaxeN0xRhMrFYYPZCzFkLMA/tw3jrRYyqY4w5tp2Ps53K7+8k/+P/SsZUdbREEpVClsgwMk2TjkOHqHvhWVq3b4Pum3vTyqaQf+11OOYvxIjiJruvbK3i728e5aK5Y1hcURy168owMgyYPgtz2kzME0e8+2wd3Mv42sNU/e+3SS+vIO/Kq3HMXxDVrx0RGTqFLJFhYLpcNG/ZRMNLL9Jx9Ij/cce8+eRddQ3pFTOivsv6+j1nefCFShZXFLFytu4iTHqGAZOmYk6aillzhrNPP01J1T7aKw/QXnkAe1ExuVdeRc6qi4a0fk9EokchSySGXE1NNL7xGg2vvoK7sQHwHtqctXIVeVdeQ+rYsTH5vDsP13L/0/uYU5bP5QvH6ZickaZ4DIW3f5SHn9zKgrq9zK0/gPNcDef+/CDn//4Y2avXkHvZ5aSUaKsHkXhSyBKJMu+U4EEaXnuF5s2bwO0GvHcK5l56OTmXXIYtOztmn3//8Xp+/vhupo7N5pplExWwRiib1cLll8ziwRdsdKxYy7vSqql/6QWc1dU0vPQCDS+9QMacueRethbH3HmaShSJA4UskShxt7bStGEdja+/RtepKv/jaWVTyL38CrKWLovaYvb+VJ6o5wePbGdskYMbVk0e9Tu5j3QleRlctnAcL26povymuSz69mW07d1Nwysv07prJ227d9G2exe2/HxyLrqY7Isuxp6fH++yRUYNHavTi47Via9kGzvT46H9wH4a33qDli2bMV0uAIyUFLKWrSD30stJmzx5WGqpqm3h/z24ldysVG69ZCop2qwyZHE5VidKTNPkn28f49jZZr7+4SWMK/SeBNBVU0Pja6/Q+PabeFq7z7M0DBxz55G9+iIc8xZgsduH/PmT7d9sItGxOiOfQlYvClnxlSxj13XmNE3r3qFpwzpc58/7H08ZP8HbMVi1KqJjbyJ1orqZex/eRl5WGrdeOhW7VVND4UjmkAXQ5XTz0EuVGBh8/cNLyEy/EJ48zi5atm6h8fXXaK884H/c4nCQtWwFOatWkzq5LOJp5WT5N5uIFLJGPoWsXhSy4iuRx85ZV0fL5k00bVxP57Gj/sct6ene/1mtuZjUSZOHfQ3U0TNNfP/h7eRkpnDnu+fi6nImZVCIp2QPWQD1zZ089GIlYwsdfOkDC7Db+nYyu86eofHtt2ha9zbuhgb/4/biErKWryB72XJSxoR3M0Yi/5tNdApZI59CVi8KWfGVaGPnrKujZdsWmjdtpOPQwQtPWCw45swle8UqHAsWYkkZ2q7skdp3rI6fPr6L/Ow03n/5VIoKspI6KMTLSAhZAKdrW3n4lYPMn1rIp94zG2s/i91Nj4e2vXtoeuctWrZvw+zq8j+XOmECmYuWkLl4Caljxw36ORPt32wyUcga+RSyelHIiq94j51pmnSdPk3Lti20bN/Wo2MFkD69nMwlS8laujymdwiGYuO+an771F4mFGXynovKSE+zjYigEA8jJWQBHKxq4B9vHWXF7FI+et1MLIN0Vj0dHbRs30rzxg207tntvxsWvCcQOBYuInP+AtKmTA16h2K8/80mM4WskU93F8qo5+nspG3fXlp37aR1984ea6wwDNKmTCVryVIyFy9NiDuzTNPkyXeO8cSbR5k1OY93LZuIVWuwpNv08blcu2IST687jsUw+Mi7Zgx4l6klLY3sFavIXrEKd0sLLdu30bJ1M21799B19gxdzz5N/bNPY83MwjF3Ho6588iYOQtrlv5nLjIYhSwZdUyXi45jR2nbv4+2fXvpOHzIf1cgeDcLzZg5y/8TvC0nN37F9tLe6eL3T+9jS+U5Lpo7hpWzS7QPlvQxa3I+pgnPbDiO0+3hY9fNxBZCELdmZpJz0RpyLlqDu62N1l07aN2xndZdO3G3NNO07m2a1r0NhkHqxElkzJpN1pzZZC+ZPwx/K5Hko5AlI56ns5OOo0doP1hJ+6GDtB86hNnZ0eM19sIiMubOxTFnHhkzZmJJTY1Ttf07WdPCL5/YTV1zB++5qIzyCbnxLkkS2OyyfGxWgyffOU5ru5PP3DSHtJTQv+VbMzLIXr6S7OUrMV0u2g8f8gauPbvpOlVF5/FjdB4/Rv2zT3PSaiWtrIy06RWkTy8nfcpUrJmZMfzbiSQHrcnqRWuy4muoY2d6PHSdOUPH0SN0HDtKx9EjdFad7LHOBMCSmUlGxQwyZswiY+ZM7CWlCdsR8pgmL2+p4q+vHiI/K40bVk+mILvv2XQjaV3RcBvJY3fsbBNPvHWUkrwM7rplHgU5Qz/X0NXQQNu+PbTu2U175QFcdXV9XmMvLSV9yjTSpkwhbdJkUsaPx2KPzw0iiUprskY+haxeFLLiK5yxc7e00HXmNJ1VVXRWnaDzxAk6T1X1uFPKx5qbS8b0ctKml5M+bTqp4yckxTEjZ+vaeODZ/VSebGBxeRGXLBjb77TPSA4KsTbSx66mvp2/v3kEt8fkU++ezazJ0VtbaLUaZHS1cGbjNlr27aP98CGc1dXBXkjq2HGkTphI6vjxpIwbT+r4CdhycqJWS7JRyBr5FLJ6UciKr95jZ7pcOM+fp6v6LM6aau/vZ8/SefoU7sbGoNcwUlNJmzTZO31RNoW0sinY8gsStlMVTFuHk6fXH+eFjSfJyrBzzbKJTCwZ+JvnSA8KsTQaxq6t08VT7xzj+Nlmrlo2gZsvnhJ0L61wBft+525upv3IYToOH6Lj+DE6jh/D09IS9P2WzExSSsd4f40ZQ0pxCfbiYuyFRQk5bR9NClkjn0JWLwpZw8c0TTytrbgaG3DV1+Gsq8PTUI+lpYmWU2foOncOV30dDPAlasvPJ6X7p+O0CRNJnTgJe3FxUnSpgmlq6+K1rad4ftNJnC4Py2cWs2xmCXZbCIuWR0FQiJXRMnamabJpfw1v7jxDXlYq/7J2OgunFw7pB5BQvt+Zpomrro6O48foqjpJZ9VJOk9V4aypGfDftzUnF3thIfaCQmwFBdjzC7Dl52PLy8OWk4s1Kytp/62DQtZooJDVi0JWZEzTxHQ68bS34Wlrw93airu1FU9rK+6WFlzNTbibm3G3NONuasTV2Ii7sbHHXX39Mex27MUlpJSUYC8pJaWklJSxY0kZMxZrevow/O1iy+3xsP9EA2/vOsOW/ecwgflTC1g+q6TH8SiDGS1BIRZG29idb+rg5S1VHDvbzKTSLK5fOYn50wpDugOxt6F8v/N0dvq7011nz9B15jRdNTU4z9XgaWsb/AJWK7bsbKxZ2Vizc7wfZ2djdWRizcrEmpmFJSMDq8OBJcOBNSMDIyUlYbraClkjn0JWL8kcskzTBNPEdLvB4/H+7nZjetyYbveFP7vdmC5Xz19OJ6bLiel04XF2YXY5MZ1deLq6vOGpsxOzsxNPV/fvHR3dv9q9v7e3hxSYgrFkOLDl52PPyyOloICscaW4HTlY8guwFxZhzc5O6p9We3O63JyubePImSYOnKhn95E62jpd5GenMqcsn/lTC0lPDf/G39EWFKJpNI6daZocP9vMO3uqqTrXQo4jhWUzS1gwvZBp47JDnkqM1fc7d0sLXTU1uOpqcZ4/j+t89+/19bgaG3A3NQ3YBeuX1YolLQ1LejqWtHTvx6mp/t+N1FQsKSkYKd2/21Mw7HYsdjuG3Y5hs2HYbRi27j9bbRhWK4bNCr6Pu3/h+91i8X4Ps1h6BDyFrJFPIasXtzvyL3TTBNPt8q49ME1MTBhgdE3fmwa/cj/X6fl4YvxsBqZhQI9fFrAYmIbF+2eLxfuY4Xus+33dfxfDMLydse4/m91/Sf9Qmd7HTP/H3QGT3sMZeA0ChssMOuyG95N7S+6uw/f90MDw1+kbZ+9zF17vfcmF/wq+//6m6b1D0GOauD0mHs+FT261GNhsFuxWC1aLAUP4CdsALBYDj8cc6MtOghjtY+d2e+hyeXC6PP5/SzarBZvVwGqxYLEY3l/GhX8X3q9U78dWq2VI3zsjYpqYHo/3B0rTA54Lf8b0YHrM7udM6H4+oXR/07A5MjDSM6J2WW1MnFgUskJQ19RBl9M9+AtFwpQo0xYiPsP1vwSb1UJBTpr+DciIppAlIiIiEgPqK4qIiIjEgEKWiIiISAwoZImIiIjEgEKWiIiISAwoZImIiIjEgEKWiIiISAwoZImIiIjEgEKWiIiISAwoZImIiIjEgEKWiIiISAwoZImIiIjEgEKWiIiISAwoZImIiIjEgC3eBSQat9tDXV3rkK5hsRjk5zuoq2vF4zGjVNnooLGLnMYuchq7yGnsIheLsSsqyor4vdH4/99oEeo4q5MVAxaLgWEYWCxGvEtJOhq7yGnsIqexi5zGLnIau5FPIUtEREQkBhSyRERERGJAIUtEREQkBhSyRERERGJAIUtEREQkBhSyREREBNM0cbk98S5jRFHIEhEREeqbO/n90/viXcaIopAlIiIiuD0m6/dWx7uMEUUhS0RERCQGFLJEREREYkAhS0RERCQGFLJEREREYkAhS0RERCQGFLJEREREYkAhS0RERCQGFLJEREREYkAhS0RERCQGFLJEREREYiBpQtavf/1rbrvtth6P7du3jw996EMsWLCAyy+/nD/+8Y9xqk5ERESkp6QIWQ899BA/+tGPejxWX1/PHXfcwcSJE3nsscf4t3/7N+677z4ee+yx+BQpIiIiEsAW7wIGUl1dzTe+8Q02bNjA5MmTezz36KOPYrfb+da3voXNZmPq1KkcP36c3/zmN9xyyy3xKVhERESkW0J3svbs2YPdbuef//wn8+fP7/Hc5s2bWbZsGTbbhZy4YsUKjh07Rm1t7XCXKiIiItJDQneyLr/8ci6//PKgz509e5by8vIejxUXFwNw5swZCgsLI/68NtvQsqfVaunxu4ROYxc5jV3kNHaR09hFLlHHzmo16Dh6hJM/+Qkl738/OStXxbukpJXQIWsgHR0dpKSk9HgsNTUVgM7Ozoiva7EY5OU5hlSbT3Z2elSuMxpp7CKnsYucxi5yGrvIJdrYObLS6aw5jauhnvbtW5l87ZXxLilpJW3ISktLo6urq8djvnCVkZER8XU9HpOmprYh1Wa1WsjOTqepqR232zOka402GrvIaewip7GLnMYucrEYu2g0CaprmiA9G4C2M2epr28d8jVHmlDHOWlDVmlpKTU1NT0e8/25pKRkSNd2uaLzxe52e6J2rdFGYxc5jV3kNHaR09hFLtHGrr3DhSMvH4Cu2tqEqi3ZJNZEcBiWLl3Kli1bcLvd/sfWr19PWVkZBQUFcaxMREQkebncHuwF3nXNnrY23G3qZEUqaUPWLbfcQktLC1/72tc4dOgQjz/+OA888ACf/OQn412aiIhI0nK5TSypqVizvFOGTt2xH7GkDVkFBQXcf//9HD16lJtuuomf/exnfPnLX+amm26Kd2kiIiJJyzRNAOzdd+w7ey3NkdAlzZqse+65p89j8+bN45FHHolDNSIiIiNTd8bCXlREx+FDOM8pZEUqaTtZIiIiEgOG9zd7kbeT1VVTHcdikptCloiIiPgZhjdlpRR779TXdGHkFLJERETEz+LrZJWUAtBVfTaO1SQ3hSwRERHxs3SnrJTuPSfdDQ14OjriWVLSUsgSERERP2v3dKHV4cCalQWomxUphSwRERHx83WyAFJKxwDQdfZMvMpJagpZIiIi4tcjZI3pDllnTsernKSmkCUiIiJ+FiOwkzUWgK4z6mRFQiFLRERE/Hp0ssZ2h6zT6mRFQiFLRERE/AIy1oWQVVONx+mMU0XJSyFLREREAlxIWba8fCzp6eB24zyrOwzDpZAlIiIifpaAZGAYBinjxgPQeboqThUlL4UsERER8TMCOlkAqb6QVaWQFS6FLBEREbmgZ8YidfwEADpPnoxDMclNIUtERET8emUsUidOBKCz6sTwF5PkFLJERETEzzCCTBcaBu6GBlxNTXGqKjkpZImIiIhfr4yFJS0Ne7H3sOjOk+pmhUMhS0RERAaU5psyPH4svoUkGYUsERER8evdyQJInTQZgA6FrLAoZImIiIhf7y0cANImlwEKWeFSyBIREZEBpU6cBICrthZ3c3Ocq0keClkiIiLi5zHNPo9ZMzKwl5QC0H70yHCXlLQUskRERMQvSMYCIG3KFAA6FLJCppAlIiIifm6PJ+jj6WUKWeFSyBIRERE/lzt4KyttyjQAOo4cwewniElPClkiIiLi53QFD1Cp48djpKTgaWvFWX12mKtKTgpZIiIi4tfldAd93LDZ/Fs5tB86OJwlJS2FLBEREfHr6AoesgDSp00HoP3QoeEqJ6kpZImIiIh/p/eOLle/r0mb5l2XpU5WaBSyRERExL/T+4CdrKnTwTBwVp/F1dg4XKUlLYUsERER8XeyOvtZkwVgdThIGTcegPaDB4ajrKSmkCUiIiIY3SlroJAFkFFeAUB7pULWYBSyRERExK+/fbJ80iu8IavtgELWYBSyRERExM/tHnij0fTuTlbXqSpczU3DUVLSUsgSERERv4H7WGDLyiZl/AQA2g/sj31BSUwhS0RERMKSMWMmAG379sW5ksSmkCUiIiJ+Nosx6Gv8IWv/3liXk9QUskRERMTPah08GqRXzACLBWd1Nc7ztcNQVXJSyBIRERFM07saK8U2eDSwpqeTNmUqAG179sS0rmSmkCUiIiL+Be92mzWk1ztmzQagde/uGFWU/BSyRERExJ+y7LbB12QBZMyeA0Dbvr2YnoG3fRitFLJERETE38myhbAmCyBtchmWjAw8ra10HD0Su8KSmEKWiIiI4ItZoYYsw2olY5a3m9W6a2fMqkpmClkiIiLib2VZQtjCwccxdy4Arbt3xaKipKeQJSIiIv7pQiP0jIVjjjdkdR47iquxMfpFJTmFLBEREfEzCD1l2XJySZ04CdCUYTAKWSIiIuLn2y8rVI75CwBo3bk9+sUkOYUsERER8fevwotYkDl/IQCte/bgcTqjWlOyU8gSERERf8ryeMKLWakTJ2LNycXs7KD9wP4YFJa8FLJEREQEX8pyhxmyDIuFzO4pw5bt26JdVFJTyBIRERH/dKHbHf7u7ZkLFwHQsn2rdn8PoJAlIiIi/pTlcoe7KgvSZ8zESE3D3dBAx7Fj0a0riSlkiYiIiL+T5Yqgk2Wx23HMnQdAy7YtUawquSlkiYiIiJ/TFdl0X+ai7inDrVvC3gZipFLIEhEREYzurd47Xe6I3p85bz6GzYaz+ixdp09Fs7SkpZAlIiIifl1dkYUsS1o6GbO9B0a3bNkczZKSlkKWiIiI+LVHGLIAMhctBqBZIQtQyBIREZEAbR2uiN+buWARWK10naqi8/TpKFaVnBSyRERExK+1I/KjcawOBxkzZwPQsmVTtEpKWgpZIiIi4tfc1jWk92ctXeq9zmaFLIUsERER8WtsHVrI6jllOLrvMlTIEhEREb/65s4hvd/qcODovsuweeOGaJSUtBSyREREBACrxaC5zUmnM/I7DAGyli0HoHnThlG9MalCloiIiACQm5kKQG1D+5Cuk7lgIYbdjrO6ms7jx6NRWlJSyBKJs/V7G+JdgogIAPnZ3pB15nzbkK5jSUvHMX8BAM0b1w+1rKSlkCUSR76AtX5vg8KWiMRdeqqN9FQbp2pbh3ytrGUrgO4pQ09k5yEmO4UskQSisCUi8WQAxblpHK9uHvK1HHPnYcnIwFVfT3vlgaEXl4SSPmS5XC5+/OMfc9lll7Fw4UI++MEPsn379niXJTIkCloiEi8l+RkcPd005AXrFrudzMVLAGjasC4apSWdpA9Zv/zlL/nrX//Kt7/9bZ544gnKysq48847qampiXdpIkOioCUi8TCu0EFjaxd1TUPbygEge/lKAFo2b8LjHNr+W8ko6UPWSy+9xPXXX89FF13EpEmT+MpXvkJzc7O6WTIiKGiJyHAbV5QJwIGT9UO+Vnp5Bba8fDzt7bTu3DHk6yWbpA9ZBQUFvPrqq1RVVeF2u3nkkUdISUlhxowZ8S5NJCoUtERkOGWk2ijOTWff8aGHLMNiIWu5dwF80/rRN2Voi3cBQ/W1r32Nz33uc6xduxar1YrFYuGnP/0pEydOjPiaNtvQsqfVaunxu4RutI3dRfPyeWtn3aCvW7+3gYvm5Q/4mtE2dtGksYucxi5yiTh2hmFgtRpMHpPF7iN1WK0GhmEM6Zp5F11E/XPPeDtZHa3YMrOiVG3iS/qQdejQIbKysvj5z39OSUkJf/3rX/niF7/Igw8+yMyZM8O+nsVikJfniEpt2dnpUbnOaDS6xm7wkAXw1s46brhkwqCvG11jF10au8hp7CKXKGNnGGBPsZKVlc7caUVs3FdDXZuLaeNzh3bhvAqqy8poPXoU1+7tFL3rmqjUmwySOmSdOXOG//iP/+CBBx5gyRLvHQxz587l0KFD/PSnP+UXv/hF2Nf0eEyamoa2CZvVaiE7O52mpnbc7tG5N0ikNHYDe/L1k/12tDR2kdPYRU5jF7lYjN1QmgSmCc4uN83N7RRk2klLsfL65hMUOOxDritz+Qpajx7lzIuvkLZizZCvF2+hjnNSh6wdO3bgdDqZO3duj8fnz5/PG2+8EfF1Xa7ofLG73Z6oXWu0GU1jt2JWbljrrt7aWceKWbn9Pj+axi7aNHaR09hFLpHGzjRN3G4TMJgyJpuN+2q4cXXZkK/rWLocHn2E9sOHaas6TUpp6dCLTQKJMxEcgdLu/0gHDvTc5KyyspLJkyfHoSKR4aHF8CISaxUTczld28qZ80Pf/d2Wk4tj9hwAmta/PeTrJYukDlnz5s1j8eLF3H333axfv55jx47xox/9iHXr1vGJT3wi3uWJxJSClojEUtmYbFLtVjbsrY7K9bJXrgag6Z13Rs0xO0kdsiwWC7/85S9ZsWIFX/3qV7n55ptZv349DzzwAPPnz493eSIhG2j6T0QkHmxWC9PH57B+T/WQd38HcCxYiCU9HVfd+VFzzE5ShyyAnJwcvvGNb/Dqq6+ydetWHn74YZYtWxbvskSGhbpZIhJLsyfnU9PQzuHTTUO+liUlhayl3v8/N73z1pCvlwySPmSJjBT9dbPqWz09fvWmoCUisTKxJJNsRwpv7TwTletlr7oIgOYtm/F0dETlmolMIUskyShoichwMQyDOWX5bNhbTUeXa8jXS5s6DXtJCWZnJ81bNkehwsSmkCWSQEJdmxUsaIWyc7yISLjmTimgy+mOygJ4wzAuLIBfN/LvMlTIEklSwYKWiEi05ThSKBubzStbT0VlAXz2ytVgGLTv34ez9lwUKkxcClkiCS7P0f8/095B68nXT8a6HBEZhRZNL+JkTQsHqxqHfC17QQEZM7zH3jWte2fI10tkClkiCSbc7Rx6By1NG4pItJWNyaIgO43nN52IyvV8C+Cb3n5rRO+ZpZAlMgL0DlpaCC8i0WQYBktnFLO9sjYqO8BnLlqMJS0NZ+052g9WRqHCxKSQJZKAenezBpoy9NEaLRGJpVmT88jMsPPkO8eGfC1LaiqZS7r3zHp75O6ZpZAlkqQaWk3/r2DUzRKRaLJZLSyfWcKGvdVR6WblrF4DQPOWTSN2zyyFLJEENdDarN7ByvdnTRuKSCzNm1pAVkYKf3v98JCvlTZtGvZi355Zm6JQXeJRyBJJEoNNGSpoiUis2awW1swdw7bKWipPNgzpWoZhkL3Kd2j0yNwzSyFLJIH1183KdRhBH+8vaImIRMusyXmU5mfw0IuVeDxD2zfLv2fWgf0jcs8shSyRJBLKAvhgQUvdLBGJFsMwuGLxeE7WtPDa9lNDutZI3zNLIUskwYW7b1Z/FLREJFrGFjqYN7WAx14/TENL55Cu5d8z6523orKjfCJRyBIZgbQ+S0Ri7ZL5YzEMgz+/OLR9rjIXLcZITcN57hwdhw5GqbrEoJAlkmR8U4b9rcvyUdASkVhKT7Vx+cJxbD5wjm0HI19PZUlNJWvJUgAa3xlZe2YpZIkkgVCmDOvbTP8vn1D20FLoEpFIzZyUx5Sx2fzx+QO0dTgjvo7vLsOWzZvwdHVFq7y4U8gSSUKDdbMCgxYEv9tw/d4Gf8AK/FhEJFSGYXDVkgm0d7p45JVDEV8nfXo5tsJCPO3ttGzbGsUK40shSyRJhH1wdHfQCmdbB4UtEQlXtiOFSxeM482dZ9h95HxE1zAsFrJXrAJG1l2GClkiSSqk8wwjCFqgKUQRCc/8qQVMLs3i98/si3jaMHulN2S17d2Nq7EhitXFj0KWSBIJ1s3yTRnmZQw8ddjf+qz+KGiJSKgMw+CaZRNp73Tzpxciu9swpaSUtClTweOhecOGKFcYHwpZIkkslG4W9FyjFc5u8ApaIhKqbEcKVywZz4a91azbczaya6zsPmZn/ciYMlTIEkkyA3Wzemtoc/f8cwTH7ihoiUioZk/OZ9bkPP743AHOnG8N+/1ZS5eB1UrnieN0nh7abvKJQCFLZAQJnDL0BSzf75FOG4KCloiE7qolE8jMsPOzx3fR3ukK673WzEwcc+YC0Lx+XSzKG1YKWSJJKLCbFdJ5hr2CFoR/iLSCloiEIsVu5T0XlXG+qYNf/3MPbk9432v8dxluXI8Z5nsTjUKWyAgx6A7wAUErkmlDUNASkdAUZKfx7tVl7D5ynoderAzrTELH/AVY0tJw1dbScfhwDKuMPYUskSTVXzfLN2WYm2Ht857ANVqRTBuCgpaIhKZsTDZXLp3Aa9tO8/c3j4T8PktKCpkLFwPeblYyU8gSGUEG62aBN2gNZdoQtGmpiIRm/tRCLl0wlqfeOc6T7xwL+X1Zy5cD3mN2TLd7kFcnLoUskSQ2WDcrUEO7i4b2C4tQhzJt6KOgJSKDWTazhNVzS/n7G0f451tHQ3pPxoxZWDOzcDc30bZ/X4wrjB2FLJERJM9h6dHNCjZlCKFPG9a3evy/+qOgJSKDWT1nDGvmjeGJt47y+BtHBl2jZdhsZC5eAkDzxuTdmFQhSyTJ9bdvVn87wPu6WYNNGwb7c39hS0FLRAazcnYplywYy1PvHOOvrx0eNGhlLV0GQMu2rZiu8LaCSBQKWSIjTO8tHYIugO8VtMKZNlTQEpFILZ9ZwtrF43luwwn+8vLBAYNWenkF1uxsPG2ttO3bO4xVRo9ClsgIEG43C+ixPgvCu9tQQUtEIrW4vIgrl0zgpc1VPPLKoX6DlmGxkLl4KQDNmzYOZ4lRo5AlMgIF62blptv6vK6h3RXx3YYKWiISqYXTC7li8Xhe2HSSJ97sfzF81hJvyGrZnpxThgpZIiNY725WsKAFoU0bNrSafbpdAwUthS0RGcii8iIumT+WJ985xmvbgp9TmD69HGtWNp62NtoO7B/mCodOIUtkhLhoXn6PP/fe0qHfOw3DnDbsHbZ056GIRGrZzGIWTS/kTy8cYO+xuj7PGxYLmQsXAt4F8MlGIUtkhOu9Qelg3axQKWiJyFAZhsHli8YzsSSLX/1jD3VNHX1ek7nIu/t7y7YtSXeWoUKWyAhywyUTevw5Vt2sYK9T0BKRSFgsBjesnIRhwG/+uQePp+f3n4wZs7Ckp+NubKTjaOjH8yQChSyRUaD3BqWhLoIPhYKWiAxVRpqd61ZO4mBVI89vOtHjOcNmwzF3HgCtO7bHobrIKWSJjDC912YFCmURPPQ8cmeg1/gCmYKWiAzVxOIslswo5vHXj3CypqXHc4753euytm+LR2kRU8gSGeF8U4ahHLcD/R+5E/j+Hls+KGiJSJSsmTeG/OxUfvPPPThdF74XOebMBYuFrtOn6DpXE8cKw6OQJTICBducNJjBulmhUtASkWiwWS1ct2IS1fVtPPhCpX+jUqvDQXp5BQCtO3bEs8SwKGSJjDKh7AIf6gHSgRS0RCQaivMyuHLJBN7ceYZXtl7YP8u/Lmv3rniVFjaFLJERKrCbNdCUYTjdrN7bQfT3+t5BS7vDi0g45k4pYElFEQ+9WMlr271ByzHHG7LaD+zD09UVz/JCppAlIj2E0s0K7IY1tLn9vyB40AIdwyMi4bls4TgWTS/kj88d4PmNJ7CPGYMtLx/T6aS9Mjl2f1fIEhnBgnWzYOApw97C6WYpaIlItBiGwdrF41k+s5hHXjnEb5/cS+qsOQC07t4d5+pCo5AlMsL1Dlqh3GU4lLVZkQYtEZHeDMPgkgXjuHH1ZLYerOXp6hQA2vbtjXNloVHIEhmlButmBe4CH+xOwwEX0EcQtNTNEpH+zJiYx21XlXM6cywAXaeqaD/f96zDRKOQJTIKDNTNGohvF/jegnXDGtpd/l+goCUi0VWYk86t1y2gJacYgD/9+ml2Hzkf56oGppAlMkr03jsr12H4zzPsfYehs70ZZ3tzj8eC7QLfXzdroKA12BYPCloi0h+rxcAxcxYA41tP84NHd/DTx3dS29ge58qCU8gSGYUCF8H3FhiunO3NfbpZvpDUuxvWO6j1F7QCrwEKWiISHnPiVACmus5zw6rJHDrZyNd+u4Gn1x3D5U6sNZ8KWSKjSLBpw/66WYEGOjza9/5AvqAWatASEQnZxDIAjPM1zCyw8dHrZjJ/agF/f+MI3/j9RipPNsS3vgAKWSKjXGDQArCnZ/V4vve0IfTfzer9Pl8nDAYOWupmiUjI0h2YRWO8H588QqrdyuWLxnP71RUYhsE9D23l4ZcPJkRXSyFLZJTpb+8s6H/398Bpw1C7Wb3fG0hBS0SGZOIUAIyTR/wPFedl8MErpnPZwnG8vKWK7/xxM9V1bfGqEFDIEhn1gk0b9u5mQd+gFaybFUpI8wk1aImI9GaOm+T94NSJHo8bhsHSGcV88Mpymtuc/P/+uJmqcy1xqNBLIUtE+gQt6DttGA0DBS3/Y72ClrpZItKHL2SdqQJ3321mSvMz+NBV5TjS7dz3l22cjVNHSyFLRPz8QSvEacPAblawTpiztfbCr4DF8MGC1kB3HCpoiUgPBYWYaekYbhfUnA76krQUG++7dCo2q4UHno3PWYcKWSIC9FyfNdC0IfQMSoHhaKBd4AODFjBo0BIR6ZdhgbETvR+fPtHvyzLS7Fw8fyyVJxs4dKpxmIq7QCFLRPxCWZ8VGJQCp/t8a7MG2g7CF7SCnY3YO2ipmyUiAyodD4Bx9tSAL5s+Pof0VCt7jg7/MTwKWSLSw2BBy/fxYIvg7elZ2B2FQT+HgpaIDJVZOs77QXXw6UIfwzCwWiyEdphYdClkiYxCvY/YCSZY0AplMfxgm5s6W2v9H0cStEREAAgMWZ7+v080t3XR2uEkLyt1mAq7QCFLRPrwrc8KZUf43t0suLA2q79Q1nshvO86oVA3S0QAyC/EtKdguJxQV9vvy3YePo/dZmHJjOJhLM5LIUtklBqsm9Vf0Ar81VtDq9lnbVa/U4YDBC1NG4rIoAwLFHQHp9rqoC9pau1i4/4aLp43lvTU/o8OixWFLBEJyUC7ukPfPa8G62b5RBq0REQoLPH+HiRkmabJi5tPkpFm46aLpwxzYV4KWSKjWChrs+DCgnZ/R2uAsBX4+mDdrPbq3f6PA9dnweBBK5C6WSJidocsI0jI2nWkjsOnm7j9qoq4dLFAIUtk1OsvaPXuHAUGLcAftnoHrnDWZkGQ/bMGOFBa3SwR6aGwe7rwfE2Ph5vbunhlaxWr55SysLwoDoV5KWSJSMgCg9ZAG48GvtZ/TE93Nyu9ZA7t1bv7dLQGCloQfNpQ3SyRUS6vu0vecL7Hw2/uPEOK3coHrpgeh6IuGBEh64knnuDaa69l7ty5XHfddTz77LPxLkkkqYQ6bQg998Lyha2BQpfvmJ5g3azAoAUEDVqgaUMR6UduPgBGWyt0dgBQ39zJnqN1vGdNGRlp9nhWl/wh6x//+Adf+9rX+OAHP8jTTz/N9ddfzxe+8AW2bdsW79JEkkooQauh1Qzr6JtQ7jT0BS3f+qzeQUvThiLSr7R0zPQM78cN3h3dj1c3Yxiwak5pHAvzSuqQZZomP/7xj7n99tv54Ac/yMSJE/n0pz/NqlWr2LhxY7zLE0k6gUEr8CxDiPxcQd8WEHBhbVZ6yZwer+kdtHrTtKGI9Ku7m+ULWdX1bZTkZZCWEp/F7oHiX8EQHD16lFOnTnHDDTf0ePx3v/tdnCoSGZ0CpxD7fU2GlYZ2F3ZHYb9hysfZ3tzj+J7cdFt30LKSl2H02I9LREa5rFw4UwUtTQAUZKex+2gdnU43qfaB74SOtaQPWQBtbW187GMfY+/evYwfP55Pf/rTXH755RFf12YbWoPParX0+F1Cp7GLXLTG7qJ5+by10/sTYZ7DEtLU3GChx/dcQ5uNBrKChqz26t2kl8zB2VrrDWJBghZ4pw19nbH6Vo+/47Z+bwMXzcsP4296gb7uIqexi1wijp1hGFityfUDjJmdDYCltQnDajB1XDavbD3Fy1uquPGisrjWltQhq6WlBYC7776bf//3f+eLX/wizz//PJ/5zGf4v//7P1auXBn2NS0Wg7w8R1Tqy85Oj8p1RiONXeSiMXY3XOLgyddPAsGDVrCNR0PpLgV2s+i+yzDQYEHLdw24EOwCg9ZbO+u44ZIJEf6t9XU3FBq7yCXK2BkG2FOsZGUlRj2h6iwooBOwd7SSnpVOVlY6ly+ewN9eO8zEsTlctjjy7wlDldQhy2733jXwsY99jJtuugmAmTNnsnfv3ohDlsdj0tTUNqS6rFYL2dnpNDW143ZrgW44NHaRi/bYBXa0wNuN6m9dlq+7FCxo+UJaYDfrXHvodQQGLe/7B542rK9vDf3i3fR1FzmNXeRiMXZDaRKYJji73DQ3h/EPNAGYKd6F7876elzdtS+bUci5+jZ+8Oet7DhQzfvXTo/qGq1QxzmpQ1ZJiXen1/Ly8h6PT5s2jddeey3i67pc0flid7s9UbvWaKOxi1wsxi6UacNgQav34nnwdbOCTxlC324WXAhaoUwbvrWzLqwtKQLp6y5yGrvIJdLYmaaJ2x3ZTS5xk5qBBTDbWvEE1H7NsgkU56bx+vYz7Dh0ntuvrmB2WT6GMXzToYkzERyB2bNn43A42LFjR4/HKysrmThxYpyqEhk5et9tGGw6sKHN7f/V33mDfQ6b7t7Oofddhj7B7jYMPOMw2N2GIjJK+bZw6OjZgTMMg8UVxdzxrhmkp9r4waM7uOehrew7Xj9spSV1yEpLS+POO+/k5z//OU899RQnTpzgl7/8JW+//TZ33HFHvMsTGRF6d4UCt2QIDDu+P/e3cWhgVys3wzrwwdGmSVZbI0UN1WS2NnjnMYLob+8sbekgMor4QlZ78KU+eVmp/Mvl07j54ik0tzm59y/buOehrew5VofZz/eWaEnq6UKAz3zmM6Snp/PDH/6Q6upqpk6dyk9/+lOWL18e79JERowVs3JZv7ehz7RhboY1aNDyrZmCnlN53t893a+z4ey1AN7R2c7lh7Zw/d63GdN84ZiM6vzxvLDifby58Dqc+WNDWgS/fm9DxNOGIpJE0roX6nf0v5bMMAymjcth6thsDp9u4p3dZ/j+w9uZUJzJu5ZPZMmMYmwxuMsz6UMWwB133KHOlUiMBQYtX1AK7CQFHoPj5Q1AvcOPT++1WQurDvCVV/5Eqqurz+cuqjvFB5/5Ibe+9Et+/IF72D/vKu/n7BXoRGQU6r4JznC7MD0esPQflgLD1onqFjbur+Y3T+7lb68d5l0rJnHx/DHYbdHbWyuppwtFJD5867PyMgx/N8m3IB0urJuqbzODrs/qvTZrRWsn//3i70l1ObHQ9xuTBRMLJinODr74x88zZ/9bfc421E7wIqOUPeXCxy5nSG8xDINJpVnceuk0PnLNDEoLMvjzS5Xc/at1vLq1CmeUbkRQyBKRkIUz/RYsaPWWm2ElG5MvPP4dDNMbpgZiMU0MTP7tD3eR3t6kRfAiAraASTln3074YIrz0rl+5WQ+eu1MxhY6ePCFSr7y63XsPDzwyRShUMgSkR7W723o8as3X9AK1s3qrXfQCtbNunHvU6Q6OwcNWD4W0ySlq4MV6x7t8bgWwYuMUoYF09r9PcjVe9lC6Aqy0/xhKzczhR/9dSd/fe0QriHsYaaQJSIDCha2+gtagVOGPv0FLYDcDFj20h9CjFc9Xb3uETDNkLpZCloiI5zRHWeicLdgQU4a771kKpcuGMvzG07y88d3RXwthSwRCUm0g1aew0JqUz35NSdC7mL5WDApqasita7qwucI2D4CCOnMRREZIXwbjEZpSwbDMFg2s4Rrlk1gx+Hz1NRHdhKMQpaIhCyUoBXIt4Eo9L37sL7VQ4ExtOM70jrbgl5b3SyRUSbKIctn8hjv4dN7jtYN8srgFLJEpIfBFrcPFrQCu1m9NxztvRD+vDm0g2g7UjP67ASvbpaIRIPHY/L8xhOkp1qZVZYf0TUUskQkbAN1hcKZNuzMzqNpzCTMMM8S82BwNncMLek5/b5GWzqIjCK+Be+26Gz/eaq2lYdfOcSRM0186t1zKMnLiOg6Clki0kcoWzUEBpZw1mdBQEerDfbf8OGIanx2yY3+KYKBulkiMsKZJoan++YX69BC1rmGdv7+5hEeerESMPn8++Yzd0pBxNdTyBKRiA0laPkcXnsLrtT0kLtZbgy67Km8MXftgK/TBqUio4Q74Ggva/i7tXc53ew6cp4/v1TJ/z27n/rmTj5+wyy++dFlzCmLPGDBCDlWR0Siz3eMTiTvCTx6x3e8Tm++I3HIyOb1//wll3/zDky8+2D1x4MBBnz/5q/TlpYJrbXYHYWAt5tlT8/qc66hiIxwgbu82+whvcU0TU7VtrLrSB0HTtTjdHmYOTmPT6ycxJKK6J1jqJAlIkPS+yDm/oJW74OkA+2dcTF88/+45Lufxuhs7xO2fFfptNn537W3c2DKopBq800b6vBokRGs+2Bo02obdE3WuYZ29h2vZ9/xehpbu8jPTuVdKyaxem4phTlDuxEnGIUsEelXsG5W4K7tPqEGLaBP2KpvM8nLMDi9+BL+9od1jH32MeY+8wD5NSf8r6nJHcM/K5byyvTFtKWk09+3QnWzREahzg7v76lpQZ9uaXey52gd+47XU9PQTnqqjaUzilk5u4TpE3KxhHnjTTgUskRkQP1NG/YOW6EErfo20x98eoethlaT3Mwcjt/6UXa86yN0nKun5kw9LaaHeo8TDIP26t1h169ulsgI5wtZaRdClmmaHDvbzI7DtRyqasJqMVgwvZD3Xz6NOVMKsNuGZ0m6QpaIhCXPYemxkHyg4BK8o9UzbAVqaDXJdRjeQJWZh3tcNp3tLqg9CkB6yZywam1oc18Idb5rB1DQEhkBOrp3Y09Nx+nysLXyHNsP19LY0sW4QgcfuGI6K2eXkJEW2nqtaFLIEpFBhbMIfrCg1dDqnR4cbJsF7+7xVhraXdgdhThba0P6/IFThr47G31TktAzFIrICNDa4v3NmsafntlHS7uTFbNKuHThOKaMzcaI4XTgYBSyRCQkgUFroG7WQO/t3dEKpveROLnpNs4NcPqOM+AOw6DXG6SbJSLJzd3UiAU40uhhwsxM/vXKckrzI9s8NNr045yIRKR3qBpsL6rAfbSAsMJO7+N5gJDWZwWeadjfcTvaN0skuVWfrAFgxqyJfP598xMmYIFCloiEoff6pYG6V9EIWr4NTYEe3SpfwPL93nsqsffB1IGL7IMdHv3WzsgOfxWR+GrrdNF67jwA48rGxHVqMBiFLBEJSyyC1mBha6Bd4/vraAUGLR8dHi0yslgMyHG1AmAvGNru7LGgkCUiYQsWtPoLW4MFrd5hq7/QFWzKMFCwhfG9zzT0CdbNevL1kwNeX0QST1qKjQK8iza31bjxDHBiRDwoZIlIRMLZ+mCgoAXBu2G+oNXflGGg/qYNg1E3S2QEcTmxd3g7WX/ZXMv/PriFU+da4lzUBQpZIhKxoQatQINtqzDYQdODrc/S2iyREaje+2/WTEnlPVfOpr65k2/83yb+75l9VNe1xbm4YQxZHo+HJ554Yrg+nYgMk3CDVmDYGmzasXc3a7Apw1DWZzW0udXNEhkp6s55f88vYmJJNh+5ZgZr5o1ha+U5/vM36/nF33dx/Gzf9ZnDZdhClsvl4qtf/epwfToRSWADBS0gaNACbzfL7igccOf39urd/U4bBm7pABe6WdrSQSRJ+UJWQREANquF5TNL+OSNs7ly6QQOnWrkfx7YxPcf3sa+4/WYw7xmK6qbkf7sZz/r9zmXy9XvcyKS3MLZEd7H9/oVs3KDvr/3hqd5GQYNbd4F8IOtvWqv3g0lc3qs4ep9eDRY/bvAi0hyMs5798giv6jH4zarhQXTCpk3pYD9J+rZuL+Ge/+yjcljsrhuxWQWlhfG9GBon6h2sn71q19x9OhRzp071+fX+fPno/mpRCTBRHoGYGDY6o+vm5WbYQ2pm+Uz0P5Z4F0Er26WSBKrrQbALCgO+rTFYjBrcj4fvrqC914yFY/H5Od/38X/PriFkzWxXyAf1U5WeXk5119/PZdddlmf5zo7O/nrX/8azU8nIgkmko4WXDjvsPf7g3WzvOcZhtbNSi+Z0+fYHWd7Mw1413bpuB2RJGaaUHPG+3HJ2AFfahgGU8ZmM2VsNieqm3lpSxX/838buWLJBN6zpoy0lNicMhjVTtatt96KxxN8EanNZuPf//3fo/npRCQBDbWj1Vuw3eFD7WYF3nHYO5T57jbUcTsiSaqxHqOzA9NihX46WcFMLMniw1dXsGbeWF7ddoqfP74Ldz/ZZaiiGrI+8IEPsHbt2qDPWa1WhSyRUcLXlepPfaunxy+fUIJN4J2GAx0MHYwvaAXbDT7Ylg4KWiIJrOa09/fCYrBaw3qr1Wph+awSbl4zhX3HG/jLSwdjUGAEIeu5557j//2//8ePfvQjnn32WZqamvzPdXV1sXnzZo4fPx7VIkUkOYXa1RpsG4V+u1npWSF3s3wCg9Zg3SwRSWBnu0PWIFOFA5lUmsWqOaW8svUUTpd78DeEKaxJyJ/85Cf84he/ICPDe8J1W1sbaWlp3Hnnndx+++3ceuutnDhxAoCZM2fyrW99izlzBl+cKiIjV6jrtOpbPYNuSOrjW5sF4HQUQsmcfvfIggvrswYTbG2Wb72YiCQW47Q3b5hjJgzpOjmZKQB4YrC7Q1idrL/97W9cffXVbNy4ka1bt/L3v/+dtWvX8vOf/5x/+Zd/4dy5c9xzzz185zvfwTAMPvShD1FZWRn9qkUkqQwUUhpag9/h11uwbhYMfqZhMOpmiYwAZ7rPGx0becgyTZP9x+vJcaRgt0Z/69CwrlhXV8fq1aux2bwNsJkzZ/L973+fG2+8kaNHj/KBD3yAd7/73dx88808/PDDTJkyhV/96ldRL1pERh5f2Ao14PjWZuWm28goLAt72jAYbekgkiSaGzFamjANA0rHR3yZHYfPc/h0E7dfU4HFEv07jMMKWePGjWPnzp19Hv/Xf/1XTNNk7ty5/sfsdjs33ngj27dvH3KRIpL8BjsQ2megoNW7mxUYtELdO8snWDcrsAYRSWBVx7y/F40Be0pEl9h+qJYXN53k0gVjWTi9aPA3RCCskPX+97+fxx57jJ/97GfU19f7H6+oqOCuu+5i2rRpPV6fmprKuXPnolOpiCS9aASt/vjuNgwnaAWjLR1EEp9x8qj3gwllYb/XNE3e2X2WFzad5PLF4/jQ1RVRru6CsBa+f/SjH+XcuXP88pe/5Je//CVTpkyhoqKCiooK5syZQ1bWhbURTqeTJ554gqKi2KRDEUlOAy2E9wWcvAyju5vU/2L4XIf3NYGL4H2bjA62EL63UDco1SJ4kQTRHbLMMENWl9PNsxtOcOBkA+9ZU8YNqyZjxPB4nbC3OL377rv54Ac/yIsvvsjOnTvZt28fzz33HG63t9Wek5NDeXk5tbW1HD16lFtvvZW2tjb/HYkiIj7eAOXpMz1X32b2G7R67wLv4w9HAUELLqzFCrXD5Z02vHCuYTh3PYrIMHB2wdkq78dhhKz65k6eeOsITa1O/v3muSwqj30TKKJ95MePH88dd9zh/7PT6eTw4cNUVlZy8OBBKisraW9vxzRNHn30Uf76179SUlLC1KlTmT59Ol/5ylei9hcQkeQTyrYOAwWt3vIyDH8XLDfd5g9aztbakMOVr5uVm37h26K6WSIJqOoYhseDmZUDOXkhveVgVSPPrD9ObmYKX799MeOKMmNcpFdUDuux2+3MmDGDGTNm9Hi8paWFysrKHuHriSeeUMgSEX/Q6q+bBf0HLV83yzdl6JObYaWhzd0jaEHfg6IHo26WSOIyjh3yfjBpGgwy1efxmLy16wzr91azsLyQO6+bRXpqbM4pDCamnykzM5NFixaxaNGiWH4aEUlSvYMW9Fx47vtzOGHHF7TAuxje2d4c1vE7De2uoN2swM+tbpZIHB33hixz8rQBX9bR5eLJd45x7Gwzt1wyhWtXTIrp+qtg9KOZiCQUX6AKFGz/qkHDVrrNf/ROqBuWBp5pGLhBqc41FEkQXZ1wyrvTOwOErLrmDv70QiU19e18/n3zuW5lbBe490chS0TiytcRynNY+qx/ChQYtAIF7pnlfyzjwmGxvq6UL2yFErga2l09Pq//Y+0ELxJfxw9jeNyYOXmQWxD0JVXnWnjoxYOk2C3810eWMqcs+OuGg0KWiCQMX9AK1s3yiWQPLV9Xy2egsNW7mxX4eUF7Z4nEk3HkgPeDKRVB12OdOd/Ko68eZkKRg6/dtoTi3PRhrrAnhSwRibvem5T2F7T66yoN1AELFCxs9SdYN0vThiJxdng/AObUGX2eamjp5PE3jjCpNJMvvH8Bmen24a6uD4UsEUkIwRaS99fR6u/Ym4E6YIECg1Yw/XWzfDRtKBIHjfUY52u85xWWlfd5+rVtp0hLsXHXLfNIsVuDXGD4KWSJSMIJXJ/VOzj111UKtZvlf33AWq1gfGca9vd5NW0oMswO7fX+Pm4SpPWcBuzscnP4dBNXLhlPVkZkZxnGgkKWiCSE3kGlv6AV+HGwoNU7lDW0u/y/ehssaPnf393NGmjaUERiyzjoDVnm9Nl9nmto7cTtMSktSKzTZRSyRCRh9Q5aoU4HQs87DH2Cha3eU4fO1toLv8KYNlQ3SySGnF1w9KD34+mz+jxdnJtOfnYqr28/jWkmzg9BClkiktAG29phsG5WsPVXwbpawfiClu/1wfbOUtASGQbHDmG4nJjZuVA8ps/ThmGwfGYJ2w7W8tun9tLp7PtDUTwoZIlIwvMFrf7CVrDpu7wMI2g3y9edCgxavk1Lg+kdtEDThiLDzTiwy/vB9Nn9HqUzd0oBN6yazOb95/jun7Zw9EzTMFYYnEKWiCQF3w7vAwWtUEOPs73ZH5xC7mr5Xt9rfRaomyUSUx4PVO4GwJwxd8CXzpyUx4eunE57p4tv/2EzP/rrjriGLYUsEUkIoZwFGBi0Qulq+bpZvinDwDVWgX/2BS17elbQcw57HzAdbJPSQApaIlF06hhGawtmahpMmjroy4vzMvjINTO4fuUkqs61+MPW7qPn8Qzzeq3hO4paRCQK8hwWf+fIF7QG6mB512dZaWh3+Q+Mhp7BKZSjdnyvbyDLH9p8h1d7P//gh1eLSPiMA94uFtNngTW02GKxGMyanM+MiXnsO1HPxn01/OCRHRTnpnPZonGsnjtmWDYr1XcEEUkYoXSzwBu0AgNNKHtkBS6ADwxYvjVXvbtcPu3Vu2mv3t3jtZo2FBkmpgn7dng/rBh4qjAYi8Vg9uR8PnJNBf96xXQKc9L422uH+Y+fvc3vntrLkdNNMb0bUZ0sEUlavbtaA+8E710Ef64d7I7CPkErUO/nwRu20kvm9OhowYWtIhpazT5hb/3ehpCDo4gEcbYKo6EO02aHaTMjvoxhGIwvymR8USaXtTvZdeQ8Ow6f5+3dZ5lQnMnli8axfFYJaSnRjUXqZIlIQgk3lITT0crNsA44NegLUL0Dlo+voxUocFsH0JE7ItFk7Nvp/WDaTEhJjco1Hel2Vswu5ePXz+KWS6aQYrPwx+cO8IWfvc1fXztEY2tXVD4PKGSJSAKKRdDy7Z0VbLuG3lOCA2mv3t3vtg7aO0skigKnCmctiPrlLRaDqWNzuOWSqXzixtnMm1rAy5ur+PIv3uGhFyupa+oY+ueIQp0iInEXyqLzwLsNg91FGKxT1Z9g67NAe2eJRM3ZUxh154Y8VRiKHEcKly4Yx6fePZtls4p5e9cZ7v71Op7bcGJIdyQqZIlIQopkLdNAe2nVt5n+aT3ftGGkQat318sXtLQIXiR6jD3bvB9MnwWpacPyOdNSbKyeM4ZP3jibRdOLePTVQ/zgke00tHRGdD2FLBFJWNEKWoHhxydw2jC9ZE6P5wKnD3s/F/ga6Lv3lqYNRaLANGGvN2TFYqpwMKl2K5ctHMf7Lp3KieoWvvfnbbjc4a+3VMgSkRGnd9AKdrC0b9owo7Cs3+sEhq3+aNpQJAZOHcdorMdMSQ16IPRwmTwmm/deMoWzdW28tetM2O9XyBKRhBbpFgihrNHybb9gdxT227EaSLh3G6qbJRIaY/dW7wfls8GeEtdaivMymFCcycZ91WG/VyFLRBLeUILWQN0sgMkFqf71WZEELQh+iDToyB2RiHjcF6YK5yyOczHQ6XRztq6NWZPyw36vQpaIJIVYBq2B1mcNpr/d4LV3lkiEjh70nlWY4YApFXEtpb3TxeNvHME0TVbOLg37/QpZIpI0hrJ7+kAblYayPisSWgQvEj5j1xbvB7MWgNUatzpqG9t56CXvfllf+sBCCnLCv8NRIUtERrzA9Vn9drMC9s+KVjfLR4vgRULU1Qn7vbu8m3MWxaWE9k4XL20+yQPP7ifFZuXrH17C9PG5EV1rxISso0ePsnDhQh5//PF4lyIiMRTTacOA/bMiXZ/VmxbBi4ThwG4MZxdmXgGMj25neTBOl4dN+2v47VN72Xu8nlsuncr/fHQZJXkZEV9zRBwQ7XQ6+eIXv0hbW1u8SxGRYbBiVm5EIcXb0fLQ0GqSl2H0u3+W7/BnSuaEvAu8DpAWGTpj12bvB3MWgzHwWaTR0uV0s/1QLZv219De6eKieWO46eKp5DiGflfjiAhZP/3pT8nMzIx3GSIyjCINWuBdn9Vf0PKHooCgBeEdueNz4W5Dq797Vt/qCWl7CZFRp6UJjhwAwJy7JOafrtPpZtvBc2zef44Op5vVc0q5btVkinPTo/Y5kj5kbdq0iUceeYQnnniCSy+9NN7liMgwiiRo5Tks1Ld6wgpaztbaHtOHoWxQCvQ4iNp/pI/D6BG01M0S6bZ7K4ZpYo6bBAVFMfs0nU43WyvPsflADV1OD2vmjeHalZMozIleuPJJ6pDV1NTEl7/8Zb7+9a8zZsyYqF3XZhvaT5lWq6XH7xI6jV3kNHahizRo+aSH0d3ydbMGmza8aF74e/AkAn3dRS4Rx84wDKzW4Zmm683cuclbw4JlWGJQg9vtYUvlOd7ZfRany8MlC8Zx/arJEd01GKqkDlnf/OY3WbhwITfccEPUrmmxGOTlOaJyrezs6Kfi0UJjF7nRNnY3XOLgyddPhv2+oQYtGDxsOdub+3Sz+ps2jNb3nXgZbV930ZQoY2cYYE+xkpU1/PW4T5+ktfo0WG1krViJkRHdGg4cr+eZd45S29jO1csn8f4rKyiM4rRgf5I2ZD3xxBNs3ryZJ598MqrX9XhMmpqGtoDearWQnZ1OU1M77ggOlBzNNHaRG81jd9G8fN7aWRf0ucA7+nqvhfIFLf+fe911WN9mDhq0IPgGps7WWuyOQu97Q+hmPfn6yaTsZo3mr7uhisXYDSWsmyY4u9w0N7dHpZawPvfbb3o/qJhNi9sCUaqhs8vNMxtOsP94PTMm5vK5W+cxsSQLTA/19a0RXzfUcU7akPXYY49x/vz5PuuwvvGNb/DMM89w//33R3xtlys6X+xutydq1xptNHaRG61jF8r6rP4Wnfu6Wb35uluhBK3+hNPNSub/bqP16y4aEmnsTNPE7R7mfd3cboxdWzAAz9wlEKXPf66hnX+8dZS2ThefvHE2y2YWYxjGsI510oas++67j46Ojh6PXXXVVdx1113ceOONcapKRBJdn2m6XtOGvQWbRrQ7CsMKWtB/N0uL4GXUO7zPe4yOIxOmzozKJc+cb+XhVw5RlJvOlz6wkJL8yPe6GoqkDVklJSVBHy8oKOj3OREZ2UK923CgoAV9d2j3dp4udLOc7c1hBa3AbpZ3J3jvlg7Bpg1FRhtjh3fBO3MWR+UYnabWLv7+5lHGFzn48gcWkZoSv6N5EueWBhGRKOjdCepvT6rehzYHvi5Y8MnLMC4cvRMw/dcf33qsQBf2zdJO8CIAtLVC5R4AzHlLh3w50zR5ZsNxUmwW7rplXlwDFiRxJyuYAwcOxLsEEUki/XW0IPg6rd4dLQi+PitYwArU0ObWTvAiAHu2YXjcmCVjoXTckC93orqFE9Ut3HXLPHIyU6NQ4NCokyUiI06o3Szo29EKlOswgna1AjtagwWq3kLpZomMFsaOjQCY85dF5Xqb9tcwqSST+dMKonK9oVLIEpERKZygNdjrAoOW785AXycK+nauQlmr5V2b1f1xkAX3mjaUEa/mDMaZk5gWi3c91hC1d7o4draZNfPHYgzTuYeDUcgSkREr1Cm3gdZn+QR2tfxBK8T1WeBd/O6jbpYIGN07vDN9NjiGfv7wwapGTNNkcXnsjuQJl0KWiIwa4Uwb9vfawKA10LRhpN0sLYKXUcHjhp2bATDnD33BO0DlyQamj89JiLVYPgpZIjKiRTptONBrQw1aA+mvm9WbgpaMSIf3Y7Q2Y2ZkwrRZQ75cS7uTY2ebWTozsbZwUsgSkREv0mnDUPW3Pqt3NytwytBnsG6WyEhkbPcueGdudPbG2nGoFpvNYOVshSwRkWEXGLSi3c2CnuuzBupoDbY2S4vgZcQL3BsrCncVtnW62HzgHGvmjiUjzT7k60WTQpaIjEqxnDYMV2A3y0fdLBmx9mzt3htrHJSMHfLl3t51BsOAGy6aPPTaokwhS0RGjVDWZ4UbbgZan+U7emegaUN1s2S08R2jE40F70dON7LtYC03XTyF7IyUIV8v2hSyRGRUieb+WcH07mj5wtZAGtpd/m6WtnSQES2Ke2M1tXbxzIYTzJmSz9rF46NUYHQpZInIqDNQ0BooTIW6PisUoS6CD6RuliS7aO2N1dnl5rE3DpOeYuPO62ZhSZDNR3tTyBIRwRugwlmn1e91IlyfpQ1KZcTzuGHXFgDMeUsivozL7eHvbx2hpd3F5983n2xH4k0T+ihkicioFOkBzIN1s/x/jnAhvDYolRHrSCVGSxNmugOmR7Y3lttj8s+3j3LmfBufe+88xhY6olxkdClkicioFe2g5X8+4HzDcIJWqBuUiiQjo3uHd+YsBKst7Pebpskz649z9Ewzn715LuUTcqNbYAwoZInIqBZp0ApH2FOH6mbJSNPZAQd2AWDOC/+uQtM0eWlLFftP1PPJG2czZ0pBtCuMCYUsEZEIhNPN8rGnZ4UVttTNkhFj3w4MlxOzoBjGTAj77VsOnGPbwVpuv7qCJTOKY1BgbChkiciod9G8/Khcp/e6LP/j3dOGPgOFLd+UobpZMpL4pgrNeUshzDsBz5xv5fUdp7lq6QQuWTAuFuXFjEKWiAhwwyXh/3Qd7t2IgUErVDo8WpJeQx3G8UPej+eGtzeWaZq8sOkkE4ozee+lU2NQXGwpZImIdItWRysY37RhJEELdHi0JLHd3ds2TJoGOXlhvfVUbSvV9e3cfPEUbNbkiyzJV7GISALp3c3qb8qwx2tCDFrBdoHvTd0sSWimiTGEvbEOVTWSm5nCrLLY/QAUSwpZIiIBQrnbMNSjecLZAT4U6mZJ0jl7CqO2GtNqgxnzwn57l8tDtiMlYXd0H4xClohIL5EErXBFOm0YjLpZkqiM7qlCymdDWnrY77daDFo7XIO/MEEpZImIBDFQiAoWagK7WYFThgN1s8IJWr4pQ3WzJGl4PLBnGwBmmAvefSaWZHG+sYPqurZoVjZsFLJERCIUjY1MgwWtwJ3fA7dyGIi6WZJwThzGaG7ETMuAqTMjusSkkkzsNgsb9lVHubjhoZAlItKPcKcNB+tmBW5MKjLSGbu3ej+YOQ9skU2Pp9itzJiYxxvbT+Mxk29zXoUsEZEB9Be0otk5CnXacLApQ3WzJGG4XbBvJwDm7EVDutSsSXnUNXdyurY1GpUNK4UsEZFBDNbRikY3a6CgFeqUoUjCOHwAo6MNMzMbJg1tE9ExhRlYDDh0qjFKxQ0fhSwRkRBEY/3VUIJWb+pmSSIzuhe8M2sBWIYYNUwwISm3cVDIEhEJ0YpZuf2Grf66WeHKTbcNGLZ0aLQkPGcXVO4GwJy9cMiXO17dgmlC2ZjsIV9ruClkiYiEqb+wFeyx3jvAR7oIPtiUobpZkpAO7cfo6sTMyYNxk4Z0qea2Ll7YdIKKCbmMK3JEqcDho5AlIhIDA3Wzhnq3obpZksiMvdu9H8xaAEOY4qtr7uBvrx/GbrPw6ffM0XShiMhoF2zaMNh5hoFBKxpbO6ibJQnB2QUH9wBgzpwf8WX2Hqvjj88dwGIYfOH9C8h2pESrwmEVvXMdRESkX7kOwz+955OXYfi7UoFBq7+7CRva3H0CWUOrGdKh1CLD4vB+DGeXd6pw7MSw397Q0smr205xsKqRFbNKuO3qCtJTkzeqqJMlIhJl4SyCD3bsTn/drcDHgk0Zqpsl8Wbs2+H9YOb8sKYKu5xu3thxmt89vY/ahg4+9e7ZfPyGWUkdsECdLBGRmFgxK7dPyAnWzYKeHa0erw9xGlHdLEkILhdUhjdV6PaY7Dxcyzu7z9Ll9HDtiklcu2ISqSkj43QEhSwRkRjLc1j8XaaBghZEf1H7+r0NUdnjS2RQRyu9dxVm5cC4gacKTdPkwMkG3tx5hobmTlbOKeU9a8oozEkfpmKHh0KWiEiMBHazegetQIGhK3D6MJLAVd/qGdI+XSKRMg7s8n5QMQeM/r8GT51r4dVtpzh9vo15Uwv4/K3zGV+cOUxVDi+FLBGROIt1d0vdLIk5jwcOdG9AWjE36EsaW7t4ffsp9p9oYEJxJl/6wEJmTsobziqHnUKWiEgM9dfN6s3X3RoobEH/gStwXZa6WTLsqo5htLVgpmXApGk9nvJ4TLYePMebO8+QkWbjY9fNZOWc0qTc9ypcClkiIjEWatCC/rtaPsHuRhSJN6P7GB2mzQTrhUXr55s6eGb9cc6eb+OyReO45ZKpSX/HYDhGz99URCRJDNTVipSmDCWm/FOFcy48dKKeZzecIC87la9+aDHTxufEq7q4UcgSERkG4XSzfAZaIC+SMGprMOrOYVqsMHUGpmnyxo7TbNhXw9IZxdxx7QzSUkZn3NCkvYhIHESyZirXYYS8H1awEKfNSSUmfFOFk6dipqTy4uYqNuyr4X2XTeNT7549agMWqJMlIjJsem9QGmpHqzdtPCqJxDi0DwBz2ixe3FzFjkO13PGuGayZPzbOlcWfOlkiIsOo97oo3QUoSa2jHU4eAWCXrZTth2r5sAKWnzpZIiJx1l/QiqTLNRgtgJeoOnIAw+PBmVvIcwfbuGbZRC5WwPLTj1AiIsMs1JCjLpckOt9U4R5bKdPH5/LeS6fGuaLEon/BIiJxEE7QinbY0gJ4iQrThCMHADiSMZY7r5+JxaL1goEUskREkkAswpbIkNScwWhuxGlYWXntqhF3uHM06F+siEicRLI2yhe2BgtcCmQSa57uqcLzeeNYs3hSnKtJTPpXKCISR0NZhB5q4BKJhaZduwCYtGrpqDiHMBL6lykiMgIEBq5QQpfWZclQ1JxrJKu2CoDSpYviXE3iUsgSEYkzbakgycTjMdn+2hbsphtrTg4pY7VlQ38UskREEoCCliSLjfurya4+BkDGzFkYmirsl0KWiEiCGO6gpSlDCVdtYztv7zrLfGsd4A1Z0j+FLBERERmUx2Py3IYTlGZZcNSdASBjxsw4V5XYFLJERBKIpg0lUW07VMvp823cNiMFPB7shUXYCwrjXVZCU8gSEUkwClqSaFranby58zSXLhhL3vmTAKRXzIhzVYlPIUtEJAENFLQUwmS4vbnzNHarhZsvmUp75X4A0ssr4lxV4lPIEhFJQitm5UYlbGnxuwzmfFMHu4/W8e6LysiweOg4fhyADIWsQSlkiYgkqFBClLpaEmvrdp8l15HKJQvG0XH0CLjd2PLysBVqPdZgFLJERBJYsBDVu/ukoCWx0tTaxf4T9bxrxUTsNgvthw4CkD5tuvbHCoFClohIglNHS+Jl28FaUu1WLpo3BoD2g5UApE2bHs+ykoZClohIEgg1aIUbthTOpD9uj8nuo+dZNXcMaSk2TI+HjiOHAW8nSwankCUikiRCDUQKThINR8800drhYk13F6vr7Fk87e0YKSmkjp8Q5+qSg0KWiEgS8QWowe4K1BSjDNXeY3WML3IwsSQLgI4jhwBIm1yGYbXGs7SkoZAlIpJkwuloBXtttLZ/kJGr0+nm0KlGVs4u9T/mmypMmzI1XmUlHVu8CxiqhoYGfvCDH/Daa6/R0tJCRUUF//Ef/8GSJUviXZqISMyEE5IUqCRch0814nKbLJ1Z7H+s4+hRANLKpsSrrKST9J2sL3zhC2zbto0f/OAHPPbYY8ycOZOPfexjHDlyJN6liYiIJKXKqgYmj8miMCcdAE9XF52nqgBIKyuLZ2lJJalD1vHjx3n77bf55je/yZIlSygrK+O//uu/KC4u5sknn4x3eSIiIknH5fZw9Ewzi8uL/I91njwBHg/W7GxseflxrC65JPV0YV5eHr/5zW+YO3eu/zHDMDAMg6ampoiva7MNLXtarZYev0voNHaR09hFTmMXOY1d5BJx7AzDoKq2BafLw5IZxf7/HzpPHAMgvWwKdrsWvYcqqUNWdnY2l1xySY/Hnn/+eY4fP85//ud/RnRNi8UgL88RjfLIzk6PynVGI41d5DR2kdPYRU5jF7lEGTvDAHuKlTPn28nLTmX29GL/ru61Z04BkDezPGr/jxwNkjpk9bZ161a++tWvctVVV3HppZdGdA2Px6SpqW1IdVitFrKz02lqasft9gzpWqONxi5yGrvIaewip7GLXCzGbigByDTB2eXmVE0LMyfm0dBw4f+FjQe92zdQPIb6+tahlpn0Qh3nEROyXnrpJb74xS+yaNEi7rvvviFdy+WKzhe72+2J2rVGG41d5DR2kdPYRU5jF7lEGjuX20N1XRuXLhjrr8njdNJ5+jQAtvETE6bWZJA4E8FD8OCDD/LZz36Wyy67jF/96lekpqbGuyQREZGkU9fcidtj+jcgBeg6dQrcbiyZmVr0HqakD1l//vOf+fa3v80HP/hBfvCDH5CSkhLvkkRERJJSXVMHAGMKMvyPdVadBCB1/AT/Gi0JTVJPFx49epTvfve7XHnllXzyk5+ktrbW/1xaWhpZWVkDvFtEREQCdXS5SUuxkpVxoWERGLIkPEkdsp5//nmcTicvvvgiL774Yo/nbrrpJu655544VSYiIpKc8rJ6Lrnp6t6EVCErfEkdsj71qU/xqU99Kt5liIiIjBg5jp7Lbi50ssbHo5yklvRrskRERCR6cjIvdLJczU24m5vBMEgZMzaOVSUnhSwRERHxy0q3+z/u6t66wV5YiEV37odNIUtERET8MnuELO9O7+piRUYhS0RERPyyMi6ELN8mpCljx8WrnKSmkCUiIiKYpgmAI6CT5Tx7FoCUMWPiUlOyU8gSERERPN6M1XNN1tkzAKSUKmRFQiFLRERE+nSyPJ2duOrrAEgpKY1bXclMIUtERET8HGnekNVV7Z0qtGZmYc3MjGdJSUshS0RERPwy0rz7lDtrqgGwl5TEs5ykppAlIiIifmkpVgC6qr0hK6VYIStSClkiIiLiZxgGAM6aGgDsxcXxLCepKWSJiIhIH/7pQoWsiClkiYiISB/O2loA7IVFca4keSlkiYiISA8epxNXQz0A9iJ1siKlkCUiIiI9uOrOg2lipKRgzcqKdzlJSyFLREREegicKvQthJfwKWSJiIhID67z5wGwFxTEuZLkppAlIiIiPTjrvJ0sW75C1lAoZImIiEgPrvPeMwvVyRoahSwRERHpwVnnnS605efHuZLkppAlIiIiPbjqvds3aLpwaBSyRERExM80Tf8eWba8vDhXk9wUskRERMTP09qK2dUFgC03N77FJDmFLBEREfHzTRVaMjOx2FPiXE1yU8gSERERP1djAwC2nNy41jESKGSJiIiInz9kaapwyBSyRERExM/d2AiALScnzpUkP4UsERER8XM1NABg1XThkClkiYiIiJ+rqQlQJysaFLJERETEz93knS60ZmXHuZLkp5AlIiIifm5fJytbIWuoFLJERETEz9XsDVlWhawhU8gSERERAAzTg6etDQBrZlacq0l+ClkiIiICQLq7E0wTAGtmZpyrSX4KWSIiIgJAhrsTAIvDgWG1xrma5KeQJSIiIgCkezoATRVGi0KWiIiIAFBg9wCaKowWhSwREREhx5HCjYuKAbA6HHGuZmRQyBIRERFS7FayDScAVoc6WdGgkCUiIiIAuFtbAe/Cdxk6hSwREREBuLBHlkJWVChkiYiICADutu5OVkZGnCsZGRSyREREBAjoZGWokxUNClkiIiICgLs7ZKmTFR0KWSIiIgKAp707ZKWnx7mSkUEhS0RERADwtLcDYE1XJysaFLJEREQEuBCyLBnqZEWDQpaIiIiAaWI6vZuRWtIUsqJBIUtEREQwTdP/sSUtLY6VjBwKWSIiIgLdIctIScGwWuNczMigkCUiIiL+kGVJVRcrWhSyRERE5ELISkuNcyEjh0KWiIiI+NdkaT1W9ChkiYiIyIU1WZoujBqFLBEREQlYk6XpwmhRyBIRERGFrBhQyBIRERH/mixDIStqFLJERETkQicrJSXOhYwcClkiIiIC+EKWOlnRopAlIiIiAXcXqpMVLQpZIiIi4mtkYdgVsqJFIUtEREQubEaqkBU1ClkiIiKCr5VlpNjjXMfIoZAlIiIimi6MAYUsERER0RYOMaCQJSIiIvinC+2aLoyWpA9ZHo+Hn/zkJ6xZs4YFCxbw8Y9/nJMnT8a7LBERkeRiKmRFW9KHrF/84hf8+c9/5tvf/jYPP/wwHo+HO++8k66urniXJiIikjRM/5oshaxoSeqQ1dXVxe9//3vuuusuLr30UmbMmMEPf/hDzp49ywsvvBDv8kRERJJIdyfLZotzHSNHUoes/fv309raysqVK/2PZWdnM2vWLDZt2hTHykRERJKMr5OlkBU1ST2SZ8+eBWDMmDE9Hi8uLvY/FwmbbWjZ02q19PhdQqexi5zGLnIau8hp7CKXeGPnTVn2tJQh/39QvJI6ZLW3twOQ0ut209TUVBobGyO6psVikJfnGHJtANnZ6VG5zmiksYucxi5yGrvIaewilyhjZ1gsGDYbBRPHYM+Kzv8HR7ukDllpaWmAd22W72OAzs5O0tMj+6L1eEyamtqGVJfVaiE7O52mpnbcbs+QrjXaaOwip7GLnMYuchq7yMVi7IbSJLDm5FD2jW/S4rJAfWtU6hmpQh3npA5ZvmnCmpoaJk6c6H+8pqaGioqKiK/rckXni93t9kTtWqONxi5yGrvIaewip7GLXKKMnWGxYhszPiFqGSmSetJ1xowZZGZmsmHDBv9jTU1N7N27l6VLl8axMhERERntkrqTlZKSwoc+9CHuu+8+8vPzGTduHPfeey+lpaVcddVV8S5PRERERrGkDlkAd911Fy6Xi69//et0dHSwdOlSfve732HXZmoiIiISR0kfsqxWK1/60pf40pe+FO9SRERERPySek2WiIiISKJSyBIRERGJAYUsERERkRhQyBIRERGJAYUsERERkRhQyBIRERGJAYUsERERkRhQyBIRERGJAYUsERERkRhQyBIRERGJAYUsERERkRhQyBIRERGJAYUsERERkRgwTNM0411EIjFNE49n6ENitVpwuz1RqGj00dhFTmMXOY1d5DR2kYv22FmtkfdO3G4PdXWtUatlJCsqygrpdQpZIiIiIjGg6UIRERGRGFDIEhEREYkBhSwRERGRGFDIEhEREYkBhSwRERGRGFDIEhEREYkBhSwRERGRGFDIEhEREYkBhSwRERGRGFDIEhEREYkBhSwRERGRGFDIEhEREYkBhSwRERGRGFDIiqIzZ87whS98gdWrV7N06VI+9rGPcfDgwR6vueqqq6ioqOjx6ytf+UqcKk4coYzds88+y7XXXsu8efN4z3vew7p16+JUbeL67//+76BfT3fccUefr7vbbrstDhUmrv7Gbt26ddx8883Mnz+fa665hqeffjoO1SW+LVu29Pkaq6ioYMOGDfEuLeF4PB5+8pOfsGbNGhYsWMDHP/5xTp48Ge+yJAZs8S5gpOjq6uITn/gEubm5/OpXvyItLY2f/vSnfPjDH+app54iPz+ftrY2Tp48ya9//Wtmz57tf29aWlocK4+/UMZu/fr1fOlLX+LLX/4yq1ev5m9/+xuf+MQneOKJJ5g6dWq8/wpx5/F4+NGPfsQjjzzCTTfd1Of5AwcO8M1vfpMrrrjC/5jdbh/OEhPWQGN3+PBhPvnJT3LHHXdw77338tprr/HlL3+Z/Px8Vq5cGaeKE9OBAweYOHEif/7zn3s8npOTE6eKEtcvfvEL/vznP3PPPfdQWlrKvffey5133smTTz5JSkpKvMuTKFLIipLNmzdTWVnJG2+8QUlJCQD33nsvy5cv55VXXuG9730vhw4dwuPxsHDhQn3jCRDK2P32t7/liiuu4Pbbbwfg7rvvZtu2bfzhD3/gW9/6VjzLj7vDhw/zta99jePHjzN27Ng+z58/f57z588zf/58ioqK4lBh4hps7P7whz9QUVHB5z//eQCmTp3K3r17uf/++xWyeqmsrGTatGn6GhtEV1cXv//97/niF7/IpZdeCsAPf/hD1qxZwwsvvMD1118f3wIlqjRdGCXTp0/nN7/5jT8kAFgs3uFtamoCvD/pFRYWKmD1MtjYeTwetm7d2ud/asuXL2fTpk3DWmsiWr9+PVOnTuWpp55i/PjxfZ4/cOAAhmFQVlYWh+oS22Bjt3nz5j5fdytWrGDLli2YpjlcZSaFAwcOqKscgv3799Pa2trj6yo7O5tZs2bp+9kIpE5WlBQVFXHJJZf0eOxPf/oTHR0drF69GvB+E8rIyOCuu+5i69at5OXlccstt3D77bf7Q8VoNNjYNTU10dbWRmlpaY/XFBcXc/bs2eEsNSF98IMfHPD5yspKsrKy+Na3vsXbb79NRkYG11xzDZ/5zGdG/dTEYGN39uzZoF937e3t1NfXk5+fH8vyksrBgwfJy8vj5ptvprq6mvLycj7/+c8zb968eJeWUHzfs8aMGdPjcX0/G5kUskJUVVXF2rVr+31+3bp1Pb7hvvjii3z/+9/nIx/5CBUVFYD3m1BTUxNXX301//Zv/8aWLVu49957aWxs5HOf+1zM/w7xMtSx833j6R0IUlNT6ezsjE3RCSLcsQumsrKSzs5O5s2bxx133MG+ffv43ve+x+nTp/ne974X7ZITRjTGrqOjo8/Xne/PXV1dQy8ySQw2lq+99hrNzc20tbXx9a9/HavVyoMPPsiHPvQhHn/8caZNmzaM1Sa29vZ2IPj3s8bGxniUJDGkkBWikpISnnnmmX6fD5wC/Mtf/sK3v/1tbrzxRr785S/7H//tb39LZ2cnWVlZAFRUVNDS0sIvf/lLPvvZz47YbtZQxy41NRXo+z+1zs5O0tPTY1Bx4ghn7PrzrW99i7vvvtv/2vLycux2O5///Of58pe/TGFhYdTqTSTRGLvU1NQ+X3e+P4/0r71Ag41lcXExmzZtIj093X9Dxdy5c9m7dy9/+tOf+J//+Z/hKjXh+W506urq6nHT02j4fjYaKWSFyG63h7Te4N577+X+++/njjvu4O6778YwDP9zKSkpfX56KS8vp62tjcbGRvLy8qJedyIY6tjl5uaSkZFBTU1Nj9fX1NT0WMc1EoU6dgOx2Wx9AsX06dMB79TFSA1Z0Ri7MWPGBP26y8jI8P+wNBqEMpbZ2dk9/myxWJg6dSrV1dWxLC3p+KYJa2pqmDhxov/xmpoa/6yHjBwjs3USJ76QcPfdd/OVr3ylR8AyTZMrrriCn/3sZz3es2vXLoqKikZswArVQGNnGAaLFi1i48aNPd6zYcMGlixZMtylJp3bbruNr371qz0e27VrF3a7ncmTJ8enqCSxZMmSPl9369evZ9GiRSO28xyJN954g4ULF/bY68nlcrF//35NFfYyY8YMMjMze+wf1tTUxN69e1m6dGkcK5NYUCcrSjZs2MD999/Pbbfdxg033MC5c+f8z2VkZOBwOLjyyiv53e9+x5QpU5gzZw7r1q3j/vvv52tf+1ocK4+/UMbujjvu4BOf+ASzZs3i4osv5rHHHmPfvn185zvfiWPlyeHqq6/mu9/9LvPmzeOiiy5i165dfO973+NjH/sYmZmZ8S4vod12223cdNNN3Hfffdx00028/vrrPPfcc9x///3xLi2hLFq0iLy8PO6++27+8z//E7vdzm9+8xsaGhr4yEc+Eu/yEkpKSgof+tCHuO+++8jPz2fcuHHce++9lJaWctVVV8W7PIkyw9R9yFHxX//1Xzz66KNBn/v3f/93PvvZz+Jyufj1r3/N3//+d86ePcv48eP56Ec/yvve975hrjaxhDJ2AE888QS/+MUvOHv2LNOmTeNLX/qS9irq5bbbbmPcuHHcc889PR5/6KGHeOihhzh58iRFRUW8733v4xOf+IS6MQH6G7s33niDe++9l2PHjjF+/Hg++9nPcu2118apysR14sQJ7rvvPjZs2EBnZyeLFy/m7rvvpry8PN6lJRy3280PfvADHn/8cTo6Oli6dCn//d//HXQbEUluClkiIiIiMaAfY0VERERiQCFLREREJAYUskRERERiQCFLREREJAYUskRERERiQCFLREREJAYUskRERERiQCFLREREJAYUskRERERiQCFLREREJAYUskQkJkzT5Pe//z1XXXUVc+bMYc2aNfz4xz9GJ3mJyGihkCUiMfG9732P733veyxevJivf/3rLFy4kF/84hc8++yz8S5NRGRY6IBoEYm6kydPcvXVV/PJT36Sz33ucwA4nU6WLVvG+973Pr761a/GuUIRkdhTJ0tEou6ll17CNE1uu+02/2M2mw2AtLS0eJUlIjKsFLJEJOp27NjBlClTyM/P9z+2f/9+2traqKioiGNlIiLDRyFLRKKusrKSGTNm9Hjs/vvvJzU1lVWrVsWpKhGR4aWQJSJR1dXVxfHjx6moqKC9vZ0dO3Zw991389RTT3HnnXeSm5sb7xJFRIaFLd4FiMjIcuTIEVwuFxUVFfz+97/nJz/5CQBlZWXcfvvtca5ORGT4qJMlIlF14MABACoqKrjyyiv54Q9/yEc/+lGqq6t53/veR0dHBwB1dXV84hOfYMGCBVx99dWsW7cunmWLiESdOlkiElUHDx4kNzeX0tJSSktLKS8v59prr6WiooK7776bnTt3smzZMv7nf/6HwsJC1q1bxzvvvMP/9//9fzz//POaThSREUOdLBGJqsrKSsrLy/s87vF4ACgqKqK1tZWXX36Zu+66i/T0dNauXUt5eTkvv/zycJcrIhIzClkiElWVlZWcO3eOrq4u/2NdXV089NBDzJw5k7KyMo4fP05GRgalpaX+15SXl3Po0KF4lCwiEhOaLhSRqGlububMmTMAfOhDH+I973kPnZ2dPPnkkxw6dIgHH3wQgLa2NjIzM3u8NzMzk/r6+mGvWUQkVtTJEpGoqaysBODWW2+lpqaG7373u/zxj39kwoQJPProo8ybNw+AjIwMWlpaery3paUFh8Mx7DWLiMSKOlkiEjW+kPWVr3ylT6cq0KRJk2hra6O6upqSkhL/e9/znvcMR5kiIsNCnSwRiZqDBw9SUlIyYMACcDgcXH755fzkJz+ho6ODV199lcrKStauXTtMlYqIxJ5ClohETWVlJdOmTQvptd/85jepqalh+fLl3HPPPfzwhz/U9g0iMqJoulBEoubgwYPceOONIb02Pz+f3/72tzGuSEQkfgzTNM14FyEiIiIy0mi6UERERCQGFLJEREREYkAhS0RERCQGFLJEREREYkAhS0RERCQGFLJEREREYkAhS0RERCQGFLJEREREYkAhS0RERCQGFLJEREREYuD/D2WRsqwCYEMKAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# select main peak and check distribution\n", "ps_sel = ps[(ps[:,0] > -25) & ( ps[:,0] < 0) & (ps[:,1]> 0) & ( ps[:,1] < 10)];\n", "print(\"size_selectd:\", len(ps_sel))\n", "\n", "# plotting distribution of parameters\n", "sns.set(rc={\"figure.figsize\":(6, 4), \"font.size\":14})\n", "\n", "ax = sns.jointplot(x = ps_sel[:,0], y = ps_sel[:,1], kind ='kde', fill=True)\n", "ax.set_axis_labels(xlabel= f\"$\\\\beta_0$\", ylabel=f\"$\\\\beta_1$\")\n", "\n", "plt.text(0.04, 0.9, \"(b)\", fontsize=16, horizontalalignment='center', \n", " verticalalignment='center', transform=ax.figure.transFigure)\n", "plt.plot([p0[0]], [p0[1]], marker=\"o\", markersize=10, markeredgecolor=\"red\", \n", " markerfacecolor=\"red\")\n", "\n", "x = np.linspace(-25,0,100)\n", "ax.ax_marg_x.plot(x, gauss(x, logitParams[0], covLogit[0][0]), \"r\" )\n", "\n", "y = np.linspace(0, 10,100)\n", "ax.ax_marg_y.plot(gauss(y, logitParams[1], covLogit[1][1]), y, \"r\" )\n", "\n", "plt.savefig(os.path.join(figsdir, \"logit_boots_sel\" + figsext), bbox_inches='tight')\n", "plt.show()\n", "sns.reset_orig()" ] }, { "cell_type": "code", "execution_count": 20, "id": "668f5b02-e351-4dde-9697-af36b49588f2", "metadata": { "id": "668f5b02-e351-4dde-9697-af36b49588f2" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MLE: beta:\n", " [-11.68319035 5.68708926]\n", "MLE: cov(beta):\n", " [[12.31854544 -6.71118734]\n", " [-6.71118734 3.81820749]]\n" ] } ], "source": [ "# MLE: optimal beta and covariance\n", "print(\"MLE: beta:\\n\", logitParams)\n", "print(\"MLE: cov(beta):\\n\", covLogit)" ] }, { "cell_type": "code", "execution_count": 21, "id": "308b94a4-7a95-47c8-b0c5-4a80bc05b3df", "metadata": { "id": "308b94a4-7a95-47c8-b0c5-4a80bc05b3df" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sample_mean(beta):\n", " [-10.9470192 5.02496303]\n", "sample_cov(beta):\n", " [[ 5.68336264 -2.86459712]\n", " [-2.86459712 1.73458366]]\n" ] } ], "source": [ "# sample mean and covariance of selected main peak\n", "smean = np.mean(ps_sel, axis=0)\n", "print(\"sample_mean(beta):\\n\", smean)\n", "db = ps_sel - smean\n", "scov = np.dot(db.T, db)/(len(db)-1)\n", "print(\"sample_cov(beta):\\n\", scov)" ] }, { "cell_type": "code", "execution_count": 22, "id": "cc3d41a7-518f-4804-832a-090cd1501d35", "metadata": { "id": "cc3d41a7-518f-4804-832a-090cd1501d35", "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# zooming specific area and marking MLE solution:\n", "sns.set(rc={\"figure.figsize\":(6, 4), \"font.size\":14})\n", "\n", "ax = sns.jointplot(x = ps[:,0], y = ps[:,1], kind ='kde', fill=True)\n", "ax.set_axis_labels(xlabel= f\"$\\\\beta_0$\", ylabel=f\"$\\\\beta_1$\")\n", "\n", "x = np.linspace(-25,10,100)\n", "ax.ax_marg_x.plot(x, gauss(x, logitParams[0], covLogit[0][0]), \"r\" )\n", "\n", "y = np.linspace(-20,40,100)\n", "ax.ax_marg_y.plot(gauss(y, logitParams[1], covLogit[1][1]), y, \"r\" )\n", "\n", "plt.text(0.04, 0.9, \"(b)\", fontsize = 16, \n", " horizontalalignment = 'center', \n", " verticalalignment = 'center', \n", " transform = ax.figure.transFigure)\n", "plt.plot([p0[0]], [p0[1]], marker=\"o\", \n", " markersize = 10, \n", " markeredgecolor = \"red\",\n", " markerfacecolor = \"red\")\n", "\n", "plt.xlim(-80,30)\n", "plt.ylim(-20,40)\n", "plt.savefig(os.path.join(figsdir, \"logit_boots_zoom\" + figsext), bbox_inches='tight')\n", "plt.show()\n", "sns.reset_orig()" ] }, { "cell_type": "code", "execution_count": 23, "id": "4c2f7492-6caa-4f05-8a2f-a5a1eac28d30", "metadata": { "id": "4c2f7492-6caa-4f05-8a2f-a5a1eac28d30", "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "exact: opt(p)= [-11.68319035 5.68708926]\n", "exact: covlogit= [[12.31854544 -6.71118734]\n", " [-6.71118734 3.81820749]]\n", "mean(p)= [-31.53701753 17.45002745]\n", "cov(p)= [[ 1735.95141923 -1073.66010338]\n", " [-1073.66010338 667.40108867]]\n" ] } ], "source": [ "# calculate empirical average and variance-covariance matrix\n", "pmean = np.mean(ps, axis=0)\n", "dp = ps - pmean\n", "pcov = np.dot(dp.T, dp)/(len(dp)-1)\n", "\n", "print(\"exact: opt(p)=\", p0)\n", "print(\"exact: covlogit=\",covLogit)\n", "\n", "print(\"mean(p)=\", pmean)\n", "print(\"cov(p)=\", pcov)\n", "\n", "# Conclusion: due to multiple peaks the empirical values are very far from MLE" ] }, { "cell_type": "code", "execution_count": 24, "id": "9bd0c944-1793-42f5-8a78-8a38e339e8f4", "metadata": { "id": "9bd0c944-1793-42f5-8a78-8a38e339e8f4", "tags": [] }, "outputs": [], "source": [ "# Install:\n", "#!pip install pingouin\n", "#\n", "# Ref:\n", "# * https://www.statology.org/multivariate-normality-test-python/\n", "# * https://pingouin-stats.org/build/html/generated/pingouin.multivariate_normality.html\n", "# https://www.sfu.ca/sasdoc/sashtml/ets/chap14/sect38.htm\n", "\n", "from pingouin import multivariate_normality" ] }, { "cell_type": "code", "execution_count": 25, "id": "5160ac22-29e7-4c06-8b60-1214231fbc43", "metadata": { "id": "5160ac22-29e7-4c06-8b60-1214231fbc43", "tags": [] }, "outputs": [], "source": [ "# testing multivariate_normality\n", "want_to_test = False\n", "\n", "if want_to_test:\n", " # test cases\n", " test1 = multivariate_normality(rng.multivariate_normal([1,2],[[2,0.5],[0.5,1]], size = 1000), alpha=.05)\n", "\n", " data = rng.multivariate_normal([3,5],[[1,0.5],[0.5,1]], size = 1000)\n", " test2 = multivariate_normality(np.log(np.abs(data)), alpha=.05)\n", "\n", " print(test1)\n", " print(test2)\n", "\n", "if want_to_test:\n", " # testing our paramaters\n", " our_case = multivariate_normality(ps, alpha=.05)\n", " print(our_case)" ] }, { "cell_type": "markdown", "id": "98ad2d95-d89b-4f18-a2f7-c7fc17473135", "metadata": { "id": "98ad2d95-d89b-4f18-a2f7-c7fc17473135" }, "source": [ "Conclusion: Statistically looking, the distribution of parameters is far from multivariate Gaussian for these sizes of samples, but is captures essential properties." ] }, { "cell_type": "markdown", "id": "e065c5d1-7dd5-4098-a095-5a283a8d408c", "metadata": { "id": "e065c5d1-7dd5-4098-a095-5a283a8d408c" }, "source": [ "## Final results" ] }, { "cell_type": "code", "execution_count": 26, "id": "8305144d", "metadata": { "id": "8305144d", "tags": [] }, "outputs": [], "source": [ "\n", "\n", "def gen_plots(pert, organ, prefix, alpha, title = \"\", bootstrapping = \"nonparam\", Nsamples = 10**3):\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", " flags = flags_dict['flags'][0:58, idx]\n", "\n", " # choose percentile of interest (for lung and bowel 95, for thyroid 75),\n", " # numerating here is from 0 so take the one less\n", " X = np.nanmax(suv[:, :, pert - 1], axis=1).reshape(-1,1)\n", "\n", " # fitting\n", " penalty = 'none' if choice_setup == 0 else None\n", " clf = linear_model.LogisticRegression(penalty=penalty).fit(X, flags)\n", "\n", " # Store fitted parameters in array\n", " logitParams = np.insert(clf.coef_, 0, clf.intercept_)\n", "\n", " #print params\n", " print(\"popt:\", logitParams)\n", "\n", " # logit function\n", " f = lambda x, p: 1/(1 + np.exp(-p[0] - p[1]*x))\n", "\n", " if bootstrapping == \"nonparam\": # non-param boostrapping \n", " # obtaining parameters via bootstrapping method\n", " rng = np.random.default_rng()\n", "\n", " # generate parameters: make a sample by sampling with replacement and fit it\n", " def gen_pars():\n", " idx = rng.integers(len(X), size=len(X))\n", " st = (flags[idx] == 0)\n", " \n", " # a bit constraint sampling with replacement: two groups need to be represented samples\n", " while st.all() or (~st).all():\n", " idx = rng.integers(len(X), size=len(X))\n", " st = (flags[idx] == 0)\n", "\n", " tmp = linear_model.LogisticRegression(penalty = penalty).fit(X[idx], flags[idx])\n", "\n", " return np.insert(tmp.coef_, 0, tmp.intercept_)\n", "\n", " ps = np.array([gen_pars() for _ in range(Nsamples)])\n", "\n", " elif bootstrapping == \"param\" : # param boostrapping \n", " # Calculate matrix of predicted class probabilities.\n", " predProbs = clf.predict_proba(X) #has two col. p, (1-p)\n", "\n", " # Design matrix -- add column of 1's at the beginning of your X_train matrix\n", " X_design = np.hstack([np.ones((X.shape[0], 1)), X])\n", "\n", " # Initiate matrix of 0's, fill diagonal with each predicted observation's variance\n", " V = np.diagflat(np.prod(predProbs, axis=1)) #dig.matrix where each element is p*(1-p)\n", "\n", " # Covariance matrix C_params = (X^T V X)^-1, params = (b0,b1)\n", " covLogit = np.linalg.inv(np.dot(np.dot(X_design.T, V), X_design))\n", "\n", " #generate parameters and points in x axis\n", " ps = np.random.multivariate_normal(logitParams, covLogit, Nsamples)\n", " else:\n", " print(\"This boostrapping is not supported\")\n", " return\n", " \n", " # get for plotting purpose meaningful xmax\n", " # f = 1- eps, np.exp(-p[0] - p[1]*x) ~ eps => -log(eps) = p[0] + p[1]*x\n", " xmax = max(X.max(), (-np.log(1e-3)-logitParams[0])/logitParams[1])\n", "\n", " xs = np.linspace(0, xmax, 200)\n", "\n", " # generate values in y axis\n", " yopts = f(xs, logitParams)\n", " ys = np.array([np.fromiter(map(lambda p: f(x,p), ps),float) for x in xs])\n", "\n", " # calculate median and quantiles\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", " # 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", " plt.rcParams.update(params)\n", "\n", " fig = plt.figure(figsize = (7, 5))\n", " \n", " plt.xlabel(f\"$x = \\\\mathrm{{max}}(SUV(visit,p = {{{pert}}} \\\\%))$\")\n", " plt.ylabel(f\"$P(Y = AE|X = x)$\")\n", "\n", " plt.scatter(X[flags==0], flags[flags==0], label=\"NC\",zorder=2.5)\n", " plt.scatter(X[flags==1], flags[flags==1], label=\"AE\",zorder=2.5)\n", "\n", " plt.plot(xs, yopts, label=\"optimal\", color=\"red\",zorder=3)\n", " plt.plot(xs, mys, label=\"median\", color=\"green\",zorder=3)\n", "\n", " #plt.fill_between(xs, yerr_min, yerr_max, alpha=0.5, label=\"confidence band\")\n", " plt.fill_between(xs, yerr_min, yerr_max, color='xkcd:beige', alpha=0.5, label=\"prediction interval\")\n", "\n", " if title != \"\": plt.title(title+\":\" + organ)\n", " \n", " plt.text(0.1, 0.93, \"(\" + organ + \")\", fontsize=16, horizontalalignment='center', \n", " verticalalignment='center', transform=fig.transFigure)\n", "\n", " plt.legend(loc = 'center right', fancybox=True, fontsize='10', framealpha=0.5)\n", " plt.tight_layout()\n", " \n", " basename = prefix + \"_\" + organ + figsext\n", " plt.savefig(os.path.join(figsdir,basename))\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "eb7dda9a-2deb-44ac-823d-66773165be59", "metadata": { "id": "eb7dda9a-2deb-44ac-823d-66773165be59" }, "source": [ "### Parametric boostrapping : MVN approx of params (! primary choice)" ] }, { "cell_type": "code", "execution_count": 27, "id": "593f4397-ea4b-44b4-8249-0502f8681ce7", "metadata": {}, "outputs": [], "source": [ "alpha = 0.05" ] }, { "cell_type": "code", "execution_count": 28, "id": "3b3a0f89-bad4-4a39-81b9-1b9ac8ca3f75", "metadata": { "id": "3b3a0f89-bad4-4a39-81b9-1b9ac8ca3f75", "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "popt: [-11.68319035 5.68708926]\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": [ "popt: [-3.47422933 0.33708866]\n" ] }, { "data": { "text/plain": [ "
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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 3.29 s, sys: 2.23 s, total: 5.52 s\n", "Wall time: 2.86 s\n" ] } ], "source": [ "%%time\n", "gen_plots(95, \"lung\", \"logit_mvn\", alpha, bootstrapping=\"param\")\n", "gen_plots(95, \"bowel\", \"logit_mvn\", alpha, bootstrapping=\"param\")\n", "gen_plots(75, \"thyroid\", \"logit_mvn\", alpha, bootstrapping=\"param\")" ] }, { "cell_type": "markdown", "id": "b1e9c470-9a7d-4490-9912-be9d24a31bab", "metadata": { "id": "b1e9c470-9a7d-4490-9912-be9d24a31bab" }, "source": [ "### Non-parametric bootstrapping: sampling with replacement" ] }, { "cell_type": "code", "execution_count": 29, "id": "1ceb9959-7d52-4821-a07f-22cbaafc019a", "metadata": {}, "outputs": [], "source": [ "alpha = 0.05" ] }, { "cell_type": "code", "execution_count": 30, "id": "2c461077-18cd-4200-88fb-f10976449eb6", "metadata": { "id": "2c461077-18cd-4200-88fb-f10976449eb6" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "popt: [-11.68319035 5.68708926]\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": [ "popt: [-3.47422933 0.33708866]\n" ] }, { "data": { "text/plain": [ "
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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "popt: [-4.3866421 1.16301187]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_441157/3463011705.py:32: RuntimeWarning: overflow encountered in exp\n", " f = lambda x, p: 1/(1 + np.exp(-p[0] - p[1]*x))\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 11 s, sys: 1.89 s, total: 12.9 s\n", "Wall time: 10.7 s\n" ] } ], "source": [ "%%time\n", "gen_plots(95, \"lung\", \"logit_bs\", alpha, bootstrapping = \"nonparam\")\n", "gen_plots(95, \"bowel\", \"logit_bs\", alpha, bootstrapping = \"nonparam\")\n", "gen_plots(75, \"thyroid\", \"logit_bs\", alpha, bootstrapping = \"nonparam\")" ] }, { "cell_type": "code", "execution_count": null, "id": "20503b2a-51c4-4ad1-8cff-d222d734e198", "metadata": { "id": "20503b2a-51c4-4ad1-8cff-d222d734e198" }, "outputs": [], "source": [] } ], "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 }