{ "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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", "text/plain": [ "
" ] }, "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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", "text/plain": [ "
" ] }, "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: 63572\n" ] }, { "data": { "image/png": "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", "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", " [-10.95495192 5.03465225]\n", "sample_cov(beta):\n", " [[ 5.67217949 -2.87979109]\n", " [-2.87979109 1.74703525]]\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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", "text/plain": [ "
" ] }, "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)= [-31.56987412 17.46753498]\n", "cov(p)= [[ 1730.89392364 -1070.17387682]\n", " [-1070.17387682 665.04545065]]\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 == \"nonparam\" : # 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=0.2, 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", "This boostrapping is not supported\n", "popt: [-3.47422933 0.33708866]\n", "This boostrapping is not supported\n", "popt: [-4.3866421 1.16301187]\n", "This boostrapping is not supported\n" ] } ], "source": [ "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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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "popt: [-3.47422933 0.33708866]\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqAAAAHXCAYAAABj8+ghAAAAP3RFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMS5wb3N0MSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8kixA/AAAACXBIWXMAAA9hAAAPYQGoP6dpAAC1NElEQVR4nOzdd3xTZdvA8d9JOqAtHey9l8pesrcyVERBQBQZbpZsAeVRliAbBBEVEBRkCrIUZMiQPQRR9ix7lZbu5Jz7+SM0UNpCR9o07fX9vHnbnHOf+1yJPM2Ve2pKKYUQQgghhBBpxOTsAIQQQgghROYiCagQQgghhEhTkoAKIYQQQog0JQmoEEIIIYRIU5KACiGEEEKINCUJqBBCCCGESFOSgAohhBBCiDQlCagQQgghhEhTkoAKIYQQQog05dAE9NChQ5jNZnr16mU/9sMPP6BpGl26dHHkrdKtLl26oGkaP/zwQ6zjo0aNQtM01q1b55zAhBBCCCHSCYcmoL169SJr1qwMGzbMkdVmCH379iVPnjz07dsXi8Xi7HCEEEIIIZzGYQnosmXL+Ouvv+jevTu5c+d2VLUZhre3NwMHDuTkyZPMnDnT2eEIIYQQQjiNwxLQyZMnA/D22287qsoM56233sLd3Z1p06ahlHJ2OEIIIYQQTuGQBPTQoUPs3LmTmjVrUqZMmQTL3b59mx49elC4cGE8PT0pUqQIffv2JSgoKMFr9u7dS7t27cifPz8eHh7kzp2bl156iT/++CNO2X79+qFpGpMmTYpz7umnn0bTNGrUqBHn3IgRI9A0jf/9739xzp08eZL333+fEiVKkCVLFvz8/Khfvz4//fRTgjEnJFeuXLRs2ZIzZ87w+++/J/l6IYQQQoiMwCEJ6MqVKwFo2rRpgmWCgoJ49tlnWbhwIVWrVuWFF17g3r17TJkyhVq1anHz5s0413z33XfUqlWLpUuXkjdvXtq2bUupUqVYs2YNzz//PMOHD49VPub+GzdujHX8ypUrHDt2DIADBw5w9+7dWOdjyj8a/9KlS6lYsSLffvstHh4etGzZkmrVqnHw4EE6depEt27dnvzmPOK5554DHrxnQgghhBCZjnKAunXrKkCtXbs2zrm5c+cqQAGqZs2a6vbt2/ZzQUFBqnbt2gpQHTp0iHXdkSNHlJubm9I0Tc2fPz/WuXXr1ikPDw8FqA0bNtiPh4aGKnd3d+Xt7a2ioqLsx+fNm6cAVaFCBQWo5cuXx3tNdHR0rPt7enqqLFmyxCqvlFLnz59X5cuXV4CaN29erHOdO3dWgJo7d26879XBgwcVoEqUKBHveSGEEEKIjM5hXfAATz311GPLzZw5k+zZs9uf+/v7880336BpGkuWLOHSpUv2c1OnTsVqtfLKK6/QqVOnWPW0aNGC9957D4Dx48fbj3t7e1OzZk3CwsLYtWuX/XhMC+eYMWMAYnXfb926FYvFQv369XF3d7cfHz16NFFRUYwaNYpXX3011v2LFCnC7NmzAZg2bdpjX/OjnnnmGQDOnDlDSEhIkq4VQgghhMgIUpyAhoWFERYWBkCOHDkSLFexYkUqVaoU53j58uWpXLkyhmGwbds2+/E///wTIMH1Q2MmO23fvh1d1+3H4+uG37RpEyVLlqRly5bkz58/1rn4ut8Nw+C3334DoH379vHev1q1avj4+HDo0CEiIyMTetlxeHh44OPjA8D169cTfZ0QQgghREaR4gQ0ODjY/nu2bNkSLFesWLEnnnu4BfTy5cuPva5EiRIAREZGcvv2bfvxRxPQ//77jytXrtjHXjZp0oTTp09z4cKFWOUeTkBv375tb50sVKgQmqbFeZhMJkJDQzEMI9b9E8PX1xfgsZOvhBBCCCEyKreUVuDv72///d69e/bkKjmUA5YmqlGjBr6+vuzbt4/g4GB7ghmTgDZt2pQff/yRP/74g1atWnH06FFy585N+fLl7XUYhmH/vXPnzk+8p6enZ5JijEnaAwICknSdEEIIIURGkOIE1MvLC29vb8LCwrh9+3aCCei5c+cSrOP8+fMAFCxY0H6sQIECnDlzhrNnz1KuXLk415w9exaALFmyxBpX6ubmRoMGDVi9ejVbtmxh48aNmM1mGjVqBMRuIfXy8kIpRZMmTdA0zV5Hzpw5yZo1KxEREUyYMIGcOXMm8t14sqioKPuQhTx58jisXiGEEEIIV+GQSUhVqlQBbN3dCTly5AhHjhyJc/zff//l4MGDmEwm6tevbz/esGFDgDh7qseYM2cOAPXq1cPNLXYeHZNk/vbbb2zdupVq1arZW2rz58/PU089xaZNm+yTkR5dfslsNttbTJcsWZLga0qOo0ePAlCyZMkUtRYLIYQQQrgqhySgMa2LD888f5RSig8//DDWuMfg4GA+/PBDlFK0adOGQoUK2c999NFHuLm5sXLlyjiLvm/YsIFZs2YBMGDAgDj3ikko58+fT0hIiD2ZfPj8rVu3WLRoUazyD/vss8/w8PBg4MCBzJs3L1a3fIyjR4/yyy+/JPia47Nz504AGjdunKTrhBBCCCEyCockoK1btwaId3eiGK1ateLatWsUL16cV199lTZt2lC8eHG2b99OqVKlmD59eqzy5cuXZ8aMGWiaRqdOnahatSpvvPEGdevWpXnz5kRFRfH555/z/PPPx7nX008/Tf78+e2z0+NLQME2galUqVIULlw4Th1VqlSxJ75dunShSJEiNGvWjDfffJOWLVtSqFAhypcvn+QW0pgxqTHvmRBCCCFEZuOQBLRy5crUrl2bvXv32nccelRAQAC7d++mffv27Nu3jzVr1uDt7U3v3r3ZvXs3uXPnjnPNe++9x86dO2nbti1XrlxhyZIlHD9+nJYtW7JhwwY+++yzBGNq0qQJYFsbtFatWrHONWzY0N5t/7jdm1577TX+/fdf+vbti7+/P3/99RfLly/nv//+o2TJkowdO5bRo0c/8f2JcfPmTX777TdKlChB8+bNE32dEEIIIURGoilHTD0Hli1bxmuvvUa/fv2YOHGiI6rMcCZOnMiAAQOYOnUqvXv3dnY4QgghhBBO4bAEFKBu3br8/fffnDlzRmZ4PyIsLIzixYvj7+/P0aNHY+26JIQQQgiRmTikCz7GV199RUREBCNHjnRktRnC5MmTuXHjBpMnT5bkUwghhBCZmkNbQIUQQgghhHgSh7aACiGEEEII8SSSgAohhBBCiDQlCagQQgghhEhTkoAKIYQQQog0JQmoEEIIIYRIU5KACiGEEEKINCUJqBBCCCGESFOSgAohhBBCiDQlCagQQgghhEhTkoAKIYQQQog0JQmoEEIIIYRIU5KACiGEEEKINCUJqBBCCCGESFNuzg4gIzIMgytXrpAtWzY0TXN2OEIIIYQQqU4pxb1798ifPz8m0+PbOCUBTQVXrlyhUKFCzg5DCCGEECLNBQYGUrBgwceWkQQ0FWTLlg2w/Qfw9fV1cjRCCCGEEKkvJCSEQoUK2fOgx5EENBXEdLv7+vpKAiqEEEKITCUxww9lEpIQQgghhEhTkoAKIYQQQog0JQmoEEIIIYRIU5KACiGEEEKINCUJqBBCCCGESFMulYCeOHGCr776ii5dulC+fHnc3NzQNI1Ro0alqN6NGzfSsmVLcubMSdasWSlbtiyffPIJoaGhDopcCCGEEELEcKllmGbOnMnUqVMdWufkyZPp168fmqZRr1498uTJw/bt2/niiy9Yvnw5O3bsIGfOnA69pxBCCCFEZuZSLaDlypVjwIABLFiwgGPHjtGpU6cU1Xfo0CH69++P2Wxm7dq1bN26lSVLlnDmzBmaNGnCiRMn+OCDDxwUvRBCCCGEABdrAX3nnXdiPX/SPqNPMmbMGJRSdO3alRYtWtiPe3l5MXv2bIoXL87y5cs5fvw4ZcuWTdG9xH2GDhd2Quh18MkDRWrbjj96zGR2TN1JrSemjntXIewmeOeCbPmSH1NG4Yj3VgghhLjPpRJQR4qOjmbt2rUAdOzYMc75IkWKUKdOHbZv386KFSsYMmRIWoeY8fy3Cn7/GEKuPDiWNQDQIOLOg2O++aH5l/B0q5TVndR64qsjJTFlFI54b4UQQoiHuFQXvCOdPHmS8PBwAKpVqxZvmZjjhw4dSrO4Mqz/VsGSt+ImdxFBsZNPgJCrtrL/rUpZ3UmpJ6E67HVdSVpMGYUj3lshhBDiEZk2AT137hwA/v7+ZMuWLd4yhQoVilVWJJOh21rQUIm84H653wfbrk123YmsJynxJSamjMIR760QQggRj0zbBX/v3j0AvL29Eyzj4+MDQEhIyGPrioqKIioqyv78SeUznQs7E25ZTJCCkMu2a4vVS0Hdiagn0fElMqaMwhHvrRBCJJOhDCy6BYthQTd0dKXH+mk1rHGOPfzTalgTPBdfGUMZ9odSyvYT9fjnysDQLRhWK8rQH/zUrSj9/s+Y58rAMHSUcf8ehoGhHnoec16pR47HPLf9jHVMqfsPA+y/254rpYAHz/NlycWUARud/Z/VLtMmoI40ZswYhg8f7uww0q/Q66l3bWLrfly5pMaXktfjShzx3qYBpQxA2f742g7Ynt9vpVXqwe+2cjw499D/x35tzDUx5xJqGVf2+tSjh+OUe/yxxPYNpOQKIR7HaliJtEYSYY0k0hpFpDUy7nM9kghLJJF6FJHWCCKtUQ+djyDCGkmUNRqLYSFat2A1LFgMK9G67ZhFt2IxorHoVqLv/4y/rBWLbkFX0rviSKWvujPF2UE8JNMmoDHd7mFhYQmWiVmI3tfX97F1DRkyhH79+tmfh4SE2LvvBbZZ06l1bWLrfly5pMaXktfjShzx3iaD7Zu8YU8s7c9RKMMADJSho7Adj/mGf//qB4no/d9BQ9NsP9X952ixE7hYTzUtnqjiO5aEMgmc0hJVrxBx6YZOcFQIQZF3CYoMJiT6HqHRoYRawgmLDiPUEkZo9P2HxfawHQ+3lbt/PMwSTmh0GBbD4uyXlGiaArMB5vs/3R76PbE/47vGpGy/a8r2u8b9n/efx3cswedoaJqGSTOhaSZMMc/j/Wk7/+CYCU3Ddi0xdXD/+P2ymglNs5Un1u+2+rSYYyaT7Rga/r65nPsf7hGZNgEtWrQoAHfv3uXevXvxjgMNDAyMVTYhnp6eeHp6OjrEjKNIbdus6ZCrJL7lRrNdE7NMU7LrTkQ99jqe1A2fyJgyCke8t/FQSoHS73cR6baHoaMMK0pZiUk6beUMNO1+4qjFJGy2h6bd/z3mD25MTKaYpC6mjBDpl27o3Ay/xc2I29yNvMudiKD7SeVd7kQGERQRRFBkMEGRDx2PCCI4KgSVSi3hHpjJqsxkMUxktWpksUJWC2SxGGSNUmSJ1skaqT84boWsVttPTyt46LaHuwHuD/3uodueJ+b3mGvczO64e2bF7JEFc5asmD090TyzoNzdwcMDPD1sP+0Pd/D0RHm4g/vD593Bw9N+jYo55n7/p5vb/YfZ9tP84Hf16Dk3NzA/9Ht859LZ3x5Dj053MWXaBLRMmTJ4eXkRHh7O/v37adSoUZwy+/fvB6BKlSppHV7GYjLbluxZ8ha25OFJfzTv/4+k+dgnrzX52LoTWU+sOp4QW2Jiyigc8N7ak0zDilI6hh6NMiz247Za1f3E0vatHU3DpLnfTyQliRSuSTd0roVdJzDkMheCA7kSepXrYTe4FnadG2E3uRZ2gxthN7kVcRtDGcm+j7e7NwFZ/PDz9MVH88THcMdHN+FjMZEtSuEdYSVbmJVs96LwvhtBtrsR+NwNwycoHN9IhU80eEeD9/1EMosVTEoHEtf9rcxmyOYDPj6QzQd1/6f9ebZs4OMNXl6QNStkzYLKmgWyekHWLOCVFbJkRXnZztmPZ81iK2+O/fdFOuUzjkybgHp4ePDCCy+wdOlSFi5cGCcBvXDhAjt37gTglVdecUaIGcvTraDd/HjWAc1u+xlnHdCxiV9jMqG6k1JPQnXY6yqQtJgyimS8t8rQMYxoDD0KQ4+6311u+9jQMKFpZkyaGUzutoRTCBcUZY3iXPAFLgZfIjDkEhdCAgkMuURgyGUuhgRy6d4VrIY1UXWZNBPZswSQPWsAAVn8yZ4lgICs/gRk8SfA058A3Z2ACMh+z0JAUBQ5boaR/VowAVeC8Lx8Ha5cRbt1PFmvQ2XNCgH+EOCPCggAfz+MmN8D/CAgAOXvD77Z4k0wyZo13bWsCdeQ4RPQ6dOnM336dGrUqMH8+fNjnRs8eDDLli1j7ty5tGnThubNmwMQHh7O22+/ja7rtGnTRnZBcpSnW0HZF1JnJ6SE6k5KPQ/XITshPZCI91YphTKi0a2RGHoEhmG5PwbKDZPZHfCUlkzhcqL1aM7dvcDpoLOcDjrLmfs/Twed5WLIpSe2XJo1MwWz5aeQb0EKZMtPPp885PbORR7v3OT1tv2eN2tOcgZF43bxMly8iHb+Itr5C3AhEO3iXltyGR2dqHiVyQQ5skOunKhcOSFXLlTOHJA714NjOXOisvuDv78t8cySJcXvkxDJ4VIJ6MGDB+nevbv9+ZkzZwCYNWsWa9assR9fsWIF+fLlA+DWrVucOHGCvHnzxqmvSpUqTJw4kX79+tGyZUsaNGhA7ty52b59O1evXqVMmTJ88803qfyqMhmTOf4lexyxjE9Cdad1HRlRAu+LUgpDj0K3hGHokYBC09wwm70k4RQuQTd0zgdf5MSdU5y+c5Yzd89y+o4tybwQEvjYJNPb3ZuifoUp4leIQr4FKORbkEK+BSniW4hCvgXJ55MHN5MbREXB2XNop86gHTwN5/einb+Adv4iBF5KVIKpcueC/PlQ+fKi8uez/Z4/H8Q8z5PblnyaM+kXZeFyXCoBDQkJYc+ePXGOX7p0iUuXLtmfP7wm55P07duX8uXLM3HiRPbu3UtYWBiFCxdmyJAhDBkyJMFF6oXI7Aw9Cmt0KLoeYRvBafJEy6ytxCLdi9ajOXXnLMdun+D47ZP2x8k7p4m0RiZ4nbe7NyUDilMioBglA4pTKqA4JQKKUzKgOHm8c8f+ohV0F+3f/9B2HoOTq9FOnUY7eRrOX0AzEk5klZsbFCqIKloYihRGFS2MKlLE9nv+fJAvj23yjBAZiKYerF8iHCQkJAQ/Pz+Cg4OfuISTEK7GMCzoljB0SxigMJk90TRJPEX6cTviDkduHOXw9aMcvvEPh28c5fjtkwmOyfQ0e1I6e0lKZS9BiYBilAooYU8683rniduaHxUFx0/aks2jx+7//A/tytUEY1I+3qjSJaFUKVSJYrZks2gRVOHCUCCfbfa0EKkkZha8p1fqLiOYlPxH/sULIRLFnnhaI1DKitnkiWaSPyHCuW6F32bv1QPsu3KQv2/8w5Hr/xB473K8ZX09slE2R2nbI2dpnspRhrI5SlPUrzDmhFrvo6LQjhxFO/i37XHgkC351OOfj60KF0I9XRZVqiSULokqXdL2e948MllHiIfIp4cQ4rGU0rFawtEtoShlxWTywGxOeAtbIVJLtB7NPzf+Zc+V/ey9eoC9Vw5wOuhsvGVL+BejQu5yVMxTjoq5y1MhdzkKZsv/+LHJhgHHTqDt3Y924BCmg3/D0f/QLHEXaVcB/qhnnkY98xSUe/r+72VBer2ESBRJQIUQ8bJNMIrEGn0PQ4/CZHLH7CaJp0g7EZYIdl/Zx58XdrAt8C8OXPs73vGapbOXpEb+qlTLW5mKecpTPtfT+HomIhGMikI78Dfazt22x649aHeD4xRTOXOgqlZGValke1SqAAXyS4umECkgCagQIg5l6Fgt97BaQtEwYXaTWe0i9UVZo9hzZT9/XtzB1os72HNlP9F67BniAVn8eTZ/Narnq2r7mb8KAVn8E3eDyEhbovnndrSde9D2H0R7ZNKq8vJCVa+CqlYFVaUyqmplKFxQkk0hHEwSUCFELIYehSU6GMMahdks4zxF6roYcok1p35jzenf2XFpd5wWzvw+eWlQuC4NC9ejdsFnKZ29ZOK/DCkF/x7DtHEL2qYtaDt2oUXGrl/lyomqXdP2qFMTVaEcuLs76uUJIRIgnyxCCMC2babVEooeHQooafUUqUIpxd/Xj7D69O+sPvUbh2/8E+t8Xu88NChclwaF69CgcF1KBhRP2r/D23fQNmzCtGkL2qY/0a5dj33/fHlRjRtg1KuDqv0slCwhrZtCOIEkoEIIlKFjibqLrodjMnlgMkkLkHAc3dDZFvgXK06sZs3p37l078G2ribNRJ2CNXmxZHNalHiOMtlLJf2Lz4VATKvXoa1eh7ZjZ6w1N1XWrKj6dVBNGmE0aQhPlZGEU4h0QBJQITI5e/JpDcfsllX2ZxcOc/jGURYeXcLiY8u5EnrNftzb3ZvnijXixZLNaVnieXJ65UhaxTFd66vXYVq1Fu3vI7FPl38G4/kmqKaNULWeBU9PR7wcIYQDSQIqRCb2IPkMu9/lLsmnSJkbYTdZ9N9yfjy6KFb3ekAWf14p/RKtSrekcZH6ZHFLxh7k/x3HtHgZpmUr0c6esx9WJpNtDGerFzBeagFFizjipQghUpEkoEJkUkoprJZ7knyKFIvWo1l7ej0/Hl3E72c32ncc8jB78EKJZrxRrh3NijXB0y0ZLZEXL2FashzTkuVo//xrP6w8PVFNG2G81BLVshnkyumolyOESAOSgAqRSRl6BFZLKGazdLuL5Dly41/mHJ7Pov+WcycyyH68Wr7KvFXuddo99SrZswYkveLwcLSVqzHNW4hp2w77YeXujmrWFKNdG1SL58DHxxEvQwjhBJKACpEJGYYVa3QImmZCS2gLQiHiEWmNZPmJVXx7aC67Lu+1H8/vk5fXn3mNTuU68HTOskmvWCnbVpfzfsK05Be04BDbYU1D1auD0aEtqvVLEODvoFcihHAmSUCFyGSUMmy7GxkWzGYvZ4cjXMT54IvMOjSHeUcWciviNgBuJjdalWpJtwqdaFK0QcL7qT9OeDja4uWYZ81GO/xgzKgqUhij8xsYb74OhQo46mUIIdIJSUCFyESUUlijQ9CtoZjNWWSdT/FE+64cYPK+r/nlxCoMZVveqGC2/LxdsTPdKr5JPp+8yav43HlM387FNO8ntKC7wP1xnS+/iNHlDVSDemCSoSFCZFSSgAqRSdiTT8s9zCZPNE263kX8DGWw5vTvTNn7NTsu7bIfb1KkAR9WfYeWJZ7HLTk7ZCmFtmMnpikz0H7bgKaU7XDRIhjvv43xVkfInowxo0IIlyMJqBCZgC35vIfVEmJLPmV7TREPQxksPbaSUX+N48SdUwC4m9xp//SrfFS9OxVzl0texbqOtnodpklfYdp34MH9nmuM8cE7qGZNwSxfiITITORTSIhMwLCGY7WEYJLkU8RDKcW6Mxv4dOtI/r11DAB/Tz/erdyF7lXeoUC2/MmrOCoKbcFizFOmo506Y7uXpyfGW69j9PwASpdy1EsQQrgY+SQSIoPTrZFYooMxaW6YJPkUjzh26wQDN3/KhnObAfDz9KVP9R70qvYevp6+yas0KgrTvAWYxk1Gu2zbdlMF+Nu62T94B/LkdlT4QggXJZ9GQmRghm7BGn0XFJjcPJwdjkhHgiLvMmrHOL4++D260vEwe9Cr2vsMqtmHgCz+yas0OhrT/IWYvpyEdukyACp/Pow+PTG6vinrdgoh7CQBFSKDsi23FIzSLZjdvZ0djkgnLLqF7w/PY8SOL7kdcQeAl0q14MtGIygZUDx5leo62k+LMH8xHu1iIAAqX16MgX0wunaCLMnYdlMIkaFJAipEBmWNDkW3RmB2y+rsUEQ6oJRi+YlV/G/bKE4HnQXgqRxlmNhkNE2LNUpupWgbNmH+5HO0f21jR1XePBgDPsJ4u7MknkKIBEkCKkQGpFsj0S2hmMwess2m4NC1w/TdOISdl/cAkNsrF5/UGcC7lbokbzklgEOHMQ/9DNOf2wFQ/n4Yg/phfPA2ZJUvPUKIx5MEVIgMRikdqyUEUJhM7s4ORzjRzfBb/G/baOYc/hGFwsvdi341etK3eneyeWZLXqVXrmIeNgLTwiUAKA8PjO7vYQzsI2t4CiESTRJQITIYqyUcwxqF2U222cysLLqFbw7NYcSOsQRH2fZU7/B0W75o8D8K+iZzW0uLBdOMbzGN/hItNAwAo31b9OGfQJHCjgpdCJFJSAIqRAZiGBZb17vJXbbZzKT+vXmcLms+4PAN277qlfJUYHLTMdQpWDPZdWrbdmDuMwjt2AkAjOpVMSaNRVWr4pCYhRCZjySgQmQguiUMpayYzNL6mdkYymD6/m/5ZOsIovQocmTNzqj6w+hS4Q3MpmTuMnTtOuZBn2Ja+gsAKmcO9JH/Q73VUfZpF0KkiCSgQmQQhh6Fbgm7v8+7tH5mJoEhl3lnXQ+2XLBNCGpR/DlmtZhKXp88yatQKbSffsY86FO0u8Eokwnj3S4Y/xsq4zyFEA4hCagQGYBtr/dQQMlWm5nM4v9+odeGAdyNCsbL3YtxjUbwbqUuyf8Scv4C5p79MG36EwBVuSLWGZOhckXHBS2EyPTkk0qIDEAZ0eh6JGaTp7NDEWkkyhpF/01D+fbvHwConq8Kc1+cSensJZNXoa5jmvk9ps9GoYWHo7JkwRg2GKP3h+AmHxVCCMeSvypCuDilFFZLGBoKLblj/YRLuRhyiddXdmXf1YNoaAyu1Y9hdQclf03PCxcxv90d01+7ADDq1kafOQVKlnBc0EII8RBJQIVwccqwYFgjMEnrZ6aw78oBXv3lTa6H3SAgiz/zXpxF8xJNk1eZUmg/L7HNcL8XivLxxhgzAqPbWzLJSAiRqiQBFcLF6dYwUIa0fmYCv5xYRZc1HxJpjaR8rmdY3uYnivolcw3OO0GYe/XH9MuvABi1nkWf/TUUK+q4gIUQIgHyFVcIF2boFnRrBCaztH5mZEopJuyZRoeVXYm0RtKi+HP8+cbaZCef2patuFWri+mXX1FubuifD0XfsEqSTyFEmpEWUCFcmGFEoQwrmnsWZ4ciUolFt9BzwwDmHvkJgB5V32V841HJG++p65jGTMD0xXg0pVClSqDPnYWqWtnBUQshxONJAiqEi1LKQLeEy37vGdjdyGDar+zMlgvbMWkmJjYZTY+q7yWvsus3MHd9H9OWbQAY3d5CHzcKvL0dGLEQQiSOJKBCuChlWDCMaMxmaf3MiM7ePc/LSztw4s4pfDy8+anV97Qs8Xyy6tJ27MTc6R20a9dRXl7o0yeiXm/n4IiFECLxJAEVwkXp1kg0pdA0Gcqd0ey9sp9Xlr/BzfBbFMyWnxVtf6Zi7nJJr0gpTBOmYvp8NJphoJ4qg3XBHHiqrMNjFkKIpJAEVAgXpJSOoUegSfd7hrPt4l+0Xv46odFhVM5TkRVtFpA/W76kVxQWhvndnphWrALA6NgOfdoE6XIXQqQLkoAK4YIMPRrDsGI2Z3V2KMKBNpzdTNsVnYi0RtKkSAOWvfoj3h7JSBgvBOLW7k20I0dR7u7ok79EdXsLkrs9pxBCOJgkoEK4IEOPRIPk7/ct0p1Vp9bR8de3idajaVmiGYtazyGLW9LH92o7dmLu2BXt5i1U7lzoP89D1X42FSIWQojkk8FjQrgYpQwMPQpNk++PGcWSYytov6IL0Xo0r5ZpxZJXfkhW8mn6/gfMLV6xJZ+VKmDdvlGSTyFEuiQJqBAuRhlWDENHS+6+3yJdmf/PQt5a/R660nnjmXb81Oo7PMweSatE1zEN/ARzr/5oVitG21ewbloLhQumTtBCCJFC8gkmhItRhsW29abMfnd53xycTe8/BgHwTsXOTG82AVNS/7tGRGDu+gGmX9cAoH8+FGNQPxnvKYRI1yQBFcLF6HqUJJ8ZwOS9M/h4y/8A6Fn1PSY2+SLpY3pv3cb82puYdu9FeXigfzcD1e7VVIhWCCEcSxJQIVyIUgbKiEbTzM4ORaTAuN1T+HTrSAAG1ezDyPqfJj35PHsOt5fbo50+g/L3Q1/yI6penVSIVgghHE8SUCFciG33I6vsfuTCpu6baU8+P6s7hE/qDEhyHdr+g5hffd022ahwIay/LoayZRwdqhBCpBrpxxPChRiGFWT3I5f1zcHZDNz8KQCf1hmUvORz63bMzVvbks/KFbH++bskn0IIlyOfYkK4EMMq4z9d1Q9HFtgnHA2s+RHD6gxKch3a2t8xv9weLSwMo3EDrOt/hXx5HR2qEEKkOpf8JFu6dCkNGzYkICAAb29vKlasyLhx47BYLEmuKywsjDFjxlCtWjV8fX1xd3cnb968vPjii6xatSoVohcieZQyUCpall9yQQv/Xcr7v30EQO9qHzCq/rAkj/nUFi3D3P4ttKgojJdaoi9fCNmypUa4QgiR6jSllHJ2EEnRp08fpk6dipubG40bN8bHx4fNmzdz9+5d6taty4YNG8iaNXHbE96+fZv69evz33//4ePjQ+3atfH39+f06dMcPHgQgN69ezN16tQkxRgSEoKfnx/BwcH4+vom+TUKER9DjyIq4iZmcxZpBXUhy4+v4o1Vb2Mog/crd2Xac+OTnHyavpuL6aOBaErZ9nSf9RW4yRcRIUTiGHo0aBqeXnlS9T5JyX9c6lNs5cqVTJ06FR8fH/bs2cP69etZvnw5p06donz58uzYsYNhw4Ylur4RI0bw33//UbVqVS5cuMD69etZvHgxBw4cYO3atbi5uTFt2jR2796diq9KiMQxDAsg4z9dyapT6+i0+l0MZdCl/BtMfW5c0pPPidMw9x6AphT6+93Qv5shyacQwuW51CfZF198AcDgwYOpUqWK/XjOnDn5+uuvAZg+fTrBwcGJqm/z5s0AfPzxx2TPnj3WuZYtW9KoUSMAdu3aleLYhUgJpRS6NVKWX3Ihv5/ZyOsru2E1rHR4ui0zm09O8iLzpvFTMH86HAB9YB+MyePA5FJ/toUQIl4u85fs8uXL7Nu3D4COHTvGOV+3bl0KFSpEVFQU69atS1SdWbIkbimbnDlzJj5QIVKBUlaUEY1J9n93CZvPb+W1FW9hMSy0KfMyc16YgdmUtC8PpglTMf/PtlyT/tkQjBHDZHcjIUSG4TIJ6KFDhwDInj07xYoVi7dMtWrVYpV9khYtWgDw5ZdfcufOnVjn1q1bx5YtW8ibNy+tWrVKbthCOITSo1Gy/7tL2B64k1eWv0GUHsVLpVow/6VZuCXxv5tp4jTMw0YA95PPwUlfrkkIIdIzl/k0O3fuHACFCxdOsEyhQoVilX2Sjz/+mL1797J+/XqKFClCnTp17JOQDhw4QJ06dZg9ezZ+fn4pfwFCpICt+91lvi9mWrsv7+PlZR2IsEbQvHhTFraajbvZPUl1mCZ99aDbfdhgST6FEBmSyySg9+7dA8Db2zvBMj4+PoBtFlZieHt7s3r1aoYOHcrEiRNZv369/VyOHDlo2rQpBQoUeGI9UVFRREVF2Z8n9v5CJIYyrBhGNJopaYmMSFung87Saml7QqPDaFykPotb/4Cnm2eS6jBNno75k88B0D/9GGPowFSIVAghnC9TN6lcvXqVOnXq8NVXXzFq1CjOnj1LaGgoe/fupWrVqgwfPpy6devak9+EjBkzBj8/P/sjpiVWCEcwDAsoq0xASsfCosN47Ze3uBsVzLP5q7H81Z/I6p645eBimL75HvPQzwDQPxmE8UnSF6oXQghX4TIJaLb7Cy6HhYUlWCY0NBQg0Wtvdu7cmX379jFy5EiGDh1KsWLF8Pb2pnr16qxZs4by5ctz+PBhJkyY8Nh6hgwZQnBwsP0RGBiYyFclxJMZehSgJXn5HpE2lFJ88Htf/r11jLzeeVjc+ge8PRLuqYmP9vMSzH0/BkAf3B/j049TI1QhhEg3XCYBLVq0KMBjk7uYczFlH+fy5cv88ccfALz++utxzru7u9O2bVsANm7c+Ni6PD098fX1jfUQwhGU0jH0SDSZ/Z5ufbV/FouPLcfN5MbCl2eTP1u+JF2vrV6H+d2eAOgfvovxvyGpEaYQQqQrLpOAVq5cGbDtXpTQJKP9+/cDxFojNCEXL160/55Qwhgz+ejRGfJCpBVDt2DoVhn/mU5tPLeFQVtsm1982WgEdQvVStL12tbtmDu9g6brGG+0x5jwhSy1JITIFFwmAS1YsCDVq1cHYOHChXHO79ixg8DAQDw9PWnZsuUT63t4ctGePXviLROzA1JCyz4JkdoMPRpNQ7rf06FTd87wxqp3MJRBp3Id6Fn1vSRdr+07gLntGw/2dv9mmiwyL4TINFzqr93QoUMBGDt2rH2vdrC1inbv3h2Anj17xlo2acWKFZQtW5YmTZrEqqtw4cL2hPajjz7i/Pnzsc7/9NNPLF68GIh/4XshUptS6n73u0w+Sm+Co0Jo88ubBEXe5dn81ZjRbGLSviQcO465dXu00DCMRvXR538n22sKITIVl/qL17p1a3r37s20adOoWbMmTZo0wdvbm02bNnH37l3q1KnDyJEjY10THBzMiRMniIyMjFPfnDlzaNSoEceOHeOpp56iZs2a5MyZk2PHjvHvv/8C8Oabb/LGG2+kyesT4mHKsKAMCyazh7NDEQ/RDZ23Vr3H8dsnKZgtP0tfmU8Wt8TtqgbA5Su4tWqHdicIo3pV9CU/QiJ3ZRNCiIzCpRJQgKlTp1KnTh1mzJjBzp07sVgslChRgsGDB9O3b188PBL/YV2uXDmOHj3K5MmT+e2339i3bx9RUVEEBATQrFkzunXrRrt27VLx1QiRMGVYUMqQFtB05tNtI/nt7B9kccvCsld/JK9PnsRfHBKC2ysd0C5dRpUuib5iEdxfv1gIITITTSmlnB1ERhMSEoKfnx/BwcEyI14kW3TEbQw9ErNb0taTFKlnwb9L6LrmQwB+fOk72j/9auIvjo7G/EoHTJu3ovLmwfrn71Ak4Z3dhBDCUQw9GjQNT68kfGFOhqTkPy41BlSIzEJ2P0p/Ttw+Rfff+wHwca2+SUs+lcL84Ue25NPbG+svP0vyKYTI1CQBFSIdMgwLSnY/SjeshpVua7sTYY2gSZEGDK83NEnXm4Z/gWnhEpTZjL5wLlSumEqRCiGEa5AEVIh0yNCj0GT3o3Rj7K7J7Lt6EH9PP75r+RUmLfF/OrXZ8zB/OQkAffok1PNNnnCFEEJkfJKACpHOyO5H6cuBq4cY/dd4AKY+P46CvgWecMUD2p/bMH80ELDt7666vJkqMQohhKuRBFSIdEZ2P0o/IiwRdFnzIbrSaVu2NR2eapP4i0+dxtyxq22Xow5tMT4ZlHqBCiGEi5EEVIh0xtb9rqT7PR34ZOsITtw5RT6fPEx/fkLi/5sE3cWtTUe0oLsYNaqhz5wqW2wKIcRDJAEVIh1RyrB1v0vrp9NtOv8n0w98C8C3Lb4ie9aAxF1osWB+oyvaqTOoggVkoXkhhIiHJKBCpCPKsGAYFjSTjP90pqDIu7y7rhcA71XqQrPiiZ84ZBo4FNOWbbbllpYvhDy5UytMIYRwWZKACpGO6NYoNKXQkjDLWjiWUooe6/tz6d4VSgYU58tGIxJ9rWnWbMyz5qA0DX3OTKhQLhUjFUII15XiZpbr16+zadMmDh48yPXr1wkKCiIgIIA8efJQtWpVGjduTJ48qbvyvhAZga37PUJaP51s/j8LWXZ8JW4mN+a/NAtvD+9EXadt24Gp/xAAjBHDUK1eSM0whRDCpSXrk85isbB48WJmzJjB3r17AVurwaNiBuw/++yz9OjRg3bt2uHuLmPbhIhPTPe72SzjBZ3l5J3T9NloSyI/rzeEavmqJO7CwMuY33z7wYz3/r1TMUohhHB9Sd4L/scff2TIkCFcvXoVpRS5cuWiVq1aPPPMM+TIkQNfX1+Cg4O5ffs2R48eZdeuXdy+fRtN08ifPz9jxozhzTcz9lp4she8SA6rJRRLVBBubolrcROOFWmNpMFPLTl0/TANC9flt/a/YDYlYieqyEjMTV/EdOAQqmJ5rJvXgZdX6gcshBCJlB73gk9SC2itWrXYu3cvOXPmpHfv3nTp0oWKFZ+8pdzff//N3Llz+fnnn+ncuTNff/01O3fuTMqthcjwDGskGrL1prP03TiEQ9cPkyNrdua88HXikk+lMPf92JZ8Zg/AumieJJ9CCJEISZrpcOrUKcaNG8fFixeZPHlyopJPgEqVKjF16lQCAwMZO3YsJ0+eTFawQmRUyrDK7HcnmndkAbMPz0dD48eXvk30bkem2fMw/fATymRCn/8dFC2SypEKIUTGkKQu+JCQEId0KTuqnvRKuuBFUunWSKIjbmF2yyoL0Kexv6//Q/2fmhNpjeTzekMYWntAoq7Tdu/D/PxLaBYL+sj/YQz4KJUjFUKI5EmPXfBJagF9tLLg4OCkRxdPPUJkdoYeLbsfOUFQ5F06rOxCpDWSFsWfY3Ctfom78Np1zK93RrNYMF5pJZOOhBAiiVK02GCjRo24ffu2o2IRIlNSSmEYkdL9nsYMZdBtbQ/O3j1PUb/CzH1xJqbErL+q65g7v4d27TrqqTLos6bJNptCCJFEKUpA//77b+rXr8+1a9eeWNZisaTkVkJkWEpZUYYVTZMENC2N3z2Vtad/x9PsyeLWPyR6q03TqC8xbduB8vG2TTrKli2VIxVCiIwnRQnooEGDOHbsGPXq1ePixYsJllu8eDFly5ZNya2EyLCUYQFlgOx+lGb2XN7HZ9u/AGDac+OonDdxEyq1DZswj50IgD59MpQulWoxCiFERpaiT7yxY8cyevRozpw5Q7169Th16lSs87t376Z27dp07NiR8+fPp+RWQmRYhh4NIOM/00ikNZJ31vXCUAYdnm5L14qJXJc48DLmbh8AoL/bBdW+TSpGKYQQGVuKm1yGDBnCjBkzuHTpEvXr1+eff/7h/PnztG/fnjp16rB7924KFy7MvHnzHBGvEBmKbfvNKOl+T0MjdnzJiTunyOOdmylNxybuIosF81vvoN2+g6pUAWPc6NQNUgghMjiHfOp9+OGH+Pr60rVrV+rVq0dUVBRRUVFkz56doUOH0rNnTzw8PBxxKyEyFGXYxn+azJ7ODiVT2HflAJP2TgdgRrOJiR/3+b9RmHbvRflmw7pgDmSR7VKFECIlHJKAGoZBWFgY2bJlIygoCE3T6NChAzNnzsTPz88RtxAiQ1KGBaUMNBn/meoirZG8va4nhjJ4/em2tCrVMlHXaWt+wzzFlrTqs76C4sVSM0whhMgUUvypt2LFCsqVK8eHH35IUFAQtWvXBmDjxo2cO3cuxQEKkZHpepQkn2nk8+1jOH77JHm98zCp6ZjEXXTpMub3ewGg93gf1fqlVIxQCCEyjxR98tWuXZu2bdty/PhxKleuzJYtW9ixYwfff/89QUFBNG7cmL/++stRsQqRoShloIxoWf8zDey8tIfJe2cA8HXzSeTImv3JF+k65m4fot0JwqhSEeOLz1M3SCGEyERSlIDu3r2bAgUKMG/ePPbv30+DBg0A6Nq1KwsXLiQsLIxmzZrxxx9/OCRYITISZVgwDCuaZnZ2KBlaWHQY76zriULRqVwHXizZPFHXmcZPxrT9L5S3N/q870DGsQshhMOkKAEdOXIkJ0+epFOnTnHOvfbaa6xYsQLDMGjVqhUrVqxIya2EyHAMwwIo6YJPZZ9uG8npoLMU8MnHxCZfJOoabddeTKPGAaBPHQclS6RmiEIIkeloSimVmjfYunUrL730kn1mfGYQEhKCn58fwcHBsu+9SFB0xC0MPRqzm8yoTi1/XtjO84taA7DmtaU8X7zxky+6G4zbsw3QLgZidGiLPucb2WpTCOHSDD0aNA1Przypep+k5D+p3vTSoEEDNm7cSDbZrk4IO2XoGIYFzSTd76nlXtQ93vutNwDvVOycuORTKcw9+qJdDEQVK4o+dbwkn0IIkQrSpO+vRo0a/Pnnn2lxKyFcgmFYUIYuC9Cnoo+3fMb54IsU9SvMl42GJ+oabd4CTL/8inJzQ5/3LUgPhhBCpIo0G3xWrly5tLqVEOmeYUSDpmT7zVSy89Ievj9s233t2xbTyOaZiB6Y02cw9x8CgPH5J6jqVVMzRCGEyNRk9oMQTqD0aDSk+z01WA0rvf8YBEC3Cp1oWKReIi6y2pZcCg/HaFAXo2/PVI5SCCEyN0lAhUhjSukoZZXxn6lk1qE5HLlxlIAs/oxqMCxR15i+nIRp3wGUvx/6d1+DSf40CiFEapIBaEKkMdsEJB2z7P/ucNfDbvDZNttSS6MaDCOnV44nXqPt3Y9pzAQA9CnjoVCBVI1RCAClFFbdgNRdiEYIAAxDBzRMFkuK6jGbzZgc9AVdElAh0pgyrCD7v6eKwVs+IyT6HlXyVqRbhbjrE8cRGmrretd1jHZtUO3bpH6QItOzWnXuBN1DKQ1kGLhIA8owQANz2M0U1+Xl5YWfn1+K5zA4JAHdtm0befPmpXTp0gCcPHmSa9euUb9+fUdUL0SGYhjRMvkoFWwP3MmCf5egofHVc+MxJ2KIg2nw/9DOnEUVLIA+ZVwaRCkyO6UUIffCMZnd8ff3k1W+RJqISUDd3L2TX4dSREdHExISAoC/v3+KYnJIAtqwYUO6du3K7NmzARgzZgzz589H13VHVC9EhqGUup+AyvhPR7LoFnpvsE08erviW1TP/+QZ7Nra3zHPnofSNPTvZ0CAfypHKQQYhiLaohMQ4IuHh7uzwxGZhDL0+wloyv7NedzfkjgkJARfX98Udcc7rA8wlTdUEiJjUPr99T8lAXWkGQe+499bx8iRNTsjG3z65Atu3sLcvQ8ARu/uqAaJmCkvhAMYhoGGhtlN/gYI1xSThKa0kVEGoQmRhtT9BBRJQB3myr2rjPhrLACjG/yPHFmzP/4CpTB/NBDtxk3UM09hDP8kDaIU4iEy9FO4MEcNIZMEVIg0ZBhWWYDewQZt+R+h0WHUyFeVLhXeeGJ5bdlKTCtWodzcsH43AzxlNQIhhEhrkoAKkYaUEYUm/7NzmM3nt7Lk2C+YNBNfPT8e05NWFrh2HXOfgQAYH/eDyhXTIEohhBCPkk9CIdKIUgaGbpHxnw4SrUfz0R8fA/B+5a5UzvuEZFIpzL36o90JQlUsjzGobxpEKUTG0K3be7i5e/HluAmxjv/66yrc3L3sz5VSfPfdbGrVro+ffy5y5MzHs8/WYerU6YSHh6d12CIdkwRUiDSiZAKSQ03dN5MTd06Ryysnw+s9eRyntmgZpjW/odzdbV3v9wfSC+GKdEOx+2wQqw5fY/fZIHQj9ScCZ8mShfHjJxEUFJRgmc6d36Zf/0G0avUiG//4jQP7d/PJJ4NZtXoNf/yxMdVjFK5DFqIXIo0ow4JSOpopi7NDcXkXQy4xeqetJWZMw8/xz+L3+AuuXMXcfzAAxicDofwzqR2iEKlm/b83GLH2FNdCouzH8vp68r8XStHsmdypdt8mTRpx5sxZxn45gS/Hjo5zfunS5Sz8eRG/LF9Mq1Yv2Y8XLVqEl1560b5+pBAgLaBCpBlDj5Ldjxxk4KZPCbeEU6dgTTqV6/D4wjFd70F3MapUxOj/UdoEKUQqWP/vDXr8fDRW8glwPSSKHj8fZf2/N1Lt3mazmVEjP2fGjJlcunQpzvmFPy+iTJnSsZLPGJqm4ef3hC+KIlORT0Mh0oBSui0BNUmnQ0ptOLuZFSdXY9bMTH1u3BNXFNAWLMK0bj3KwwP9u6/BTf4bCNekG4oRa08RX2d7zLGR606land869YvU7FiBYYPHxXn3OnTZyhdulSq3VtkLJKACpEGDN2CoVvRNEl+UiLSGkmfjbaJRz2qvkuF3E/oSr90GfOAoQAYwwbD02VTO0QhUs2+83fjtHw+TAFXg6PYd/5uqsYxZswo5v+4gGPHjse+v2xII5JAElAh0oBhRMv6nw4wdd9MTgedJZ9PHv5X9+PHF1YKc/c+aMEhGNWrYvTpkTZBCpFKbtxLOPlMTrnkql+vLs8/35RPPv1frOOlSpXkxImTqXpvkXG4ZAK6dOlSGjZsSEBAAN7e3lSsWJFx48ZhsViSXeevv/5Kq1atyJs3Lx4eHuTOnZvatWszYsQIB0YuMiOlFIYeiUlaP1PkdsQdxu+eCsDoBp/h6+n72PLaDz9h+mMzytMT/bvp0vUuXF7ubInbNCGx5VLii9EjWbNmHbt277Ufe71De06ePMWqVavjlFdKERwcnOpxCdfhkAS0c+fO1K1b1/68bt26vPXWW46oOo4+ffrQrl07/vrrL2rUqEHz5s25ePEiH3/8MY0bNyYiIiJJ9UVHR9OuXTtat27Nxo0beeaZZ2jbti3lypXjzJkzTJs2LVVeh8g8lGFFSfd7io3bNYWQ6HtUyF2Ojs+89vjCgZcxf2zbE974/BMoUzoNIhQidVUv6k9eX88Et/HUgHx+nlQv6p/qsZQvX46Or3dg+vSv7cdee60N7dq15Y03uzBm7Dj27z/AhQsXWbN2Hc83e4E//9ya6nEJ16EpFxq0sXLlSl555RV8fHzYunUrVapUAeDWrVs0btyYf/75h/79+zNhwoQn1PRA586dmT9/Pq1bt+a7774jZ86c9nOGYbB3715q1qyZpDhDQkLw8/MjODgYX9/Ht9KIjE+3hBMdeRs3d29nh+KyLoZc4plvaxClR7H6tSU0K94k4cJKYW7TEdNvGzCerY6+aS2YZe1VkT5YLFbu3A0jZ84cuLu7J/n6mFnwQKzJSDFJ6YzXy6XKUkzdur3H3eC7/LJ8if3Y+fMXePqZikRHR2O12BaZNwyD776bzdwf5vPff8dwc3OjVMkSvPnmG7zzTleyZs3q8NjEkylDBw3c3H1SXJfFYuHmzZvkypUrzr/hpOQ/LpWA1qhRg3379jFq1Cg++ST2wtM7duygXr16eHp6cv369UQt97Bp0yaaNm1KuXLlOHjwYLL+GMRHElDxsOjIOxjWCMxu8oc3ud5d14t5/yykQeG6bOiw8rFjabVFy3Dr+j7KwwPr7i3wlEw8EulHShNQiH8d0Hx+ngxrmbrrgArXlR4TUJfpE7x8+TL79u0DoGPHjnHO161bl0KFChEYGMi6det4/fXXn1jnV199Bdi69R2VfArxMKUMlBEtux+lwJEb//Lj0UUAjG4w7PETuW7ewjzw/qz3If0l+RQZUrNnctP0qVzsO3+XG/eiyJ3N1u1uNskkR+E6XCYBPXToEADZs2enWLFi8ZapVq0agYGBHDp06IkJqK7rbNq0CYD69etz7do1Fi1axIkTJ/D09KRy5cq0adMGH5+Uf1sQmZcyrBiGjtmc+pMCMiKlFH3++BhDGbQp8zI18ld7bHnzwE/Qbt1GlX8Go1/vNIpSiLRnNmnULB7g7DCESDaXSUDPnTsHQOHChRMsU6hQoVhlH+fs2bOEhoYCsHv3brp3725/HmPgwIEsWrSIxo0bJzdskckpwwLKkB2QkmnRseXsuLQLL3cvxjUe+diy2rr1mBYvQ5lM6DOnyl7vQgiRjrnMp+K9e/cA8PZOeCJHTGtlYvabvX37tv33t99+m6pVq7Jv3z7u3bvH33//TcuWLbl58yYvv/wyp06demxdUVFRhISExHoIAWAYFkk+k+le1D0Gb7GtMzikVj8K+RZIuHBICOZe/QEwendHVa2cFiEKIYRIpiR9Mu7cuTO14khzD8+9KlCgAOvXr6datWr4+PhQsWJFVq1aRbly5QgNDWXs2LGPrWvMmDH4+fnZHzEtsSJzU8q4v/+7jP9MjtE7J3A19DolA4rTp3r3x5Y1fToc7cpVVPFiGMOesEC9EEIIp0tSAtq0aVN++eWX1IrlsbJlywZAWFhYgmViutATM/M8pj6ALl264OkZe4ye2Wzm/fffB2Djxo2PrWvIkCEEBwfbH4GBgU+8v8j4lKGjDB3NJAloUh27dYJp+78BYFKTMXi6JTyGVtuxE/N3PwCgfz0ZvLzSIkQhhBApkKQENDIyknbt2jF58uTUiidBRYsWBXhschdzLqbsk+qLmU1bvHjxeMvEHL969epj6/L09MTX1zfWQwilLIAhLaBJpJSi38YhWA0rL5ZsTvMSTRMuHBGB+cM+AOhvd0Y1qJc2QQohhEiRJCWg8+fPx83NjQEDBtC7d28Su4Toxo0badiwYXLis6tc2Tam6/bt2wlOMtq/fz+AfYH6x/Hx8aFMmTKAbSH7+MQcl5nwIjkM3QKus8xuurHi5Go2XdiKp9mTCU1GP7asafQ4tNNnUPnyYoz+PG0CFEIIkWJJSkDffPNNfv/9d3x9fZkxYwavvvoqkZGRCZZfvXo1NWvWpFmzZmzfvj1FgRYsWJDq1asDsHDhwjjnd+zYQWBgIJ6enrRs2TJRdb72mm07v4S62P/44w/AtgC+EEmhlMIwotBMLrPQRLoQbgln4CbbFpoDnu1Ncf+iCRc++DemKTMA0KdNAD/peRBCCFeR5Om5DRs25K+//qJQoUKsWrWKhg0bcvPmzVhllixZQqVKlWjdujV79+4lT548SdoeMyFDh9oWmB47diwHDx60H799+zbdu9smKfTs2TPWLkgrVqygbNmyNGkSd+u+3r17ExAQwLp165g1a1asc4sWLWLBggX2ckIkibo//lO635Pky11TCLx3mSK+hRhY8zH/u7NaceveB03XMdq+gnqxRdoFKYQQIsWStT7M008/zZ49e6hSpQp79+6lVq1aHD16lHnz5vHUU0/x+uuvc+TIEQoWLMhXX33FuXPn6Nu3b4qDbd26Nb179yY0NJSaNWvSokUL2rZtS8mSJfnnn3+oU6cOI0fGXiswODiYEydOcObMmTj15cyZk8WLF5MlSxY++OADypUrx2uvvUaVKlV4/fXXUUoxbNiwRLeoChHDMKwopYMkoIl2OugsE/fadicb32QUXu4JTyYyTZ+FdvgfVPYA9Ilj0ipEITK9Xbv24OHpw0utXol1/Pz5C7i5e8X72L17r5OiFelZsvsH8+TJw7Zt22jfvj1r1qyhYsWKgK3rsVixYgwZMoTOnTs7fIvLqVOnUqdOHWbMmMHOnTuxWCyUKFGCwYMH07dvXzySuPj0c889x+HDh/niiy/YuHEjv/76K76+vrRs2ZKPPvqI559/3qHxi8zBMKLR4PHbRopYBmz6hGg9mueLNeblUi8kXPBCIKaRtqXR9C+GQ+5caRShEOmIocPF3WihN1A+uaFwTUiDFTfmzv2Bnj0+ZM7ceVy5coX8+fPHOr9+/VqeefqpWMdy5MiR6nEJ15PsBDQqKoo5c+Zw5MgRwJZ4aprGm2++yQ8//IDJlHqLb7dr14527dolqmyXLl3o0qXLY8uULl2aH374IeWBCcH98Z+y/meSrD29nnVnNuBucmdiky8STtyVwtx3EFp4OEbd2qi3OqZtoEKkB8fXYlr/Kdq9Byu0qGz5MJqNgrKP+fKWQqGhoSxZupw9u3dw7fp15s3/iSGDB8UqkyN7dvLmzZtqMYiMI8lZYlhYGOPHj6do0aL07t2bixcvUrlyZXr27AnAzz//zDfffOPwQIVwFUrpKMMqCWgiRVoj6b/JNr77o+ofUiZHqQTLaitXY/ptA8rdHf2rCSAtzCKzOb4W07J34N4jywPeu2Y7fnxtqt166dLllC1TmjJlStOxYwd++GF+olfDEeJRSUpAhw8fTpEiRRg8eDDXr1/n2WefZc2aNRw4cIBp06Yxf/58zGYzvXr14uOPZTcSkTkpw4JSVhn/mUiT9k7n7N3z5PfJy9Da/RMuGByCud9gAIwBH0HZMmkUoRDphKFjWv8poHj0q5eGLRE0bRhm655PBXPmzqNjx9cBaN7seYKDQ9i6LfYKN/XqN8bPP1eshxDxSVIX/PDhwwHbTPhPP/2Uxo0bxzr/xhtvkD9/fl555RUmTJhAYGAg8+bNc/g4UCHSM0O3oCkZ/5kYF4ID+XLXFAC+bDQSH4+E19w1fT4a7dp1VIniGINSPqlRCJdzcXesbvdHaSgIuQIXd0PROg699YkTJ9m3bz/Lly0CwM3NjXavtWHunHk0bFDfXm7hwvk8VbasQ+8tMqYkJaAtWrTgk08+oXbt2gmWadSoETt27KBFixYsXryYK1eusHLlSvz9/VMaqxDpnm38Z6Ss/5lIgzYPI8IaQf1CdWj31CsJltP2HcA0azaAres9S5a0ClGIdEMLvZHoco7uGJ8zdx5Wq5VChUvYjyml8PT0ZNq0SfZjhQoWpGTJEvFVIUQsSeqCX7t27WOTzxjlypVj9+7dlCtXjm3btlG3bl3ZH11kCkpZUcqKpkkC+iQbz21hxcnVmDUzk58bm3CLsdWKuWc/NKUwOrZDNWqQtoEKkU4on9wOLZdYVquVn35awPhxYzmwf7f9cfDAHvLnz8eiRUscej+ROaTap2SBAgXYsWMHr776Kps2baJmzZpcvnw5tW4nRLqgDAsoA80s4z8fx2pYGbDZtuNR9yrvUD7X0wmWNU2fhXbkqG3Nz7EjEywnRIZXuCYqWz64d80+5vNhCg1889mWZHKgtWvXERR0l27dOsfa6AXglVdaM3fuPJo1sy1ZePvOHa5duxarjL+/P1mk10I8IvXWSgKyZcvGb7/9RqdOneL8gxQiIzL0aGeH4BLm//Mz/906TvYsAXxad1DCBR9d8zNXzjSKUIh0yGS2LbVE3GlIMc+N50c6fD3QOXPn0aRJozjJJ8Crr7zM/gMHCQkJAaBZsxcoWKh4rMevv652aDwiY0j1fkI3NzfmzZtHkSJFUvtWQjjVg/U/pfv9ccKiwxi+w7Z70dDaAwjI4h9/QVnzU4i4yr6A0fZ722z4hyck+eazJZ+psA7oryuXJ3iuRo3qWC3hAPafQiRGmn1SjhgxIq1uJYRTKMOKMqyYzEnbjSuzmbJvJldDr1PMrwjvV+6aYDlZ81OIBJR9AaN0c6fshCSEoyQpAX102SVH6NKlC2+99ZbD6xUirdnW/zRkAfrHuB52g4l7pwEwssEwPN084y8oa34K8XgmMxSt4/DZ7kKklSQloH/++afDA2jYsKHD6xTCGQwjWtb+fIL/bRtNaHQY1fNV4bWyrRMsJ2t+CiFExpakBPTcuXMOD0DWBxUZgVKGjP98gv1XD/LDkQUAj93vXdb8FEKIjC9Jn5YykUiI+CnDimFYMZsT6FLO5Axl0OePwSgUb5ZrT80C1eMvKGt+CiFEppCqyzAJkVnY1//U5H9S8fnp6GL2Xj2Aj4c3oxv8L8FysuanEEJkDkn6tCxQoABTpkxJpVCEcF2GESXJZwLCLeF8utWWTH5SeyD5fPLGX1DW/BRCiEwjSZ+YV69e5ciRI/Ge++OPP7h3755DghLCldjGf0bL7PcEzDw4m2thtmWXelV7P/5CsuanEEJkKg5rsmnWrBl9+vSJ99zevXv577//HHUrIdIVZVgwDCuaSSYgPSokKoTxu6cC8GndQXgksEaqrPkphBCZi0P7DJWKf0WymTNnUr58eUfeSoh0wzCsoJR0wcdj2v5Z3IkMokz2UnR8+rX4C8man0JkaiVKlmXq1OkZ5j4iceQTU4gUMqwy/jM+dyKCmLJ3BgD/qzsYcwK7tMian0JkDvPm/UiOnPniHN+9azvvvtvNCREJZ5I+QyFSQCkdpaKl+z0ek/ZOJyT6HuVzPUObsq3iLSNrfgohcuXK5ewQhBNIs40QKRCz/qdMQIrtRthNph/4FoDP6w3BFF8Lsaz5KYRLiYqKok+f/uTLXwRvnwDqN2jCvn37Afhz6zbc3L1Yu+43KleugbdPALXrNODo0X/t599+532Cg4Nxc/fCzd2L4SNGAXG7xt3cvfj22+9p9fKrZPPNQbnyldm1aw+nT5+hcZNm+PrlpG69Rpw5c9Z+zZkzZ3nl1dfIX6Aofv65qFmzLhs3bU7Dd0cklSSgQqSAYVgAGf/5qPG7pxJuCadavsq8WLJ5vGVkzU8hAKUgLMw5jwTmbSRk8OBP+GXFSubM+ZZ9e3dSskQJWr7wMnfu3IlVZtz4MezetZ1cuXLS+pW2WCwWateqyaSJ4/H19eVS4FkuBZ6lf78+Cd5r9Bdj6fTmGxzYv5syZUrT6a0ufNi9Fx9/PIA9u3eglKL3Rw+G7ISGhtKieTM2rF/L/n27eL7Zc7Ru3ZaLFwOT/J9EpI0k9xvu37+fGTNmUK5cOcqVK0eOHDlSIy4hXIJhjUKT73GxXL53hW8OzQFgeL1P4t9yU9b8FMImPByzv3O6oPW7N8HbO1Flw8LC+GbWd8yZ/S0tmjcDYNasGWwsuYk5c+dRrVpVAIZ9OpTnmjYBYO6c7yhStBQrV67itdfa4Ofni6Zp5M2bwFrAD+ncuROvvdYGgIED+lO3XkM+GTqYZs8/B0DvXj14+50Hy7pVrFiBihUr2J+PGP4Zv/66mtWr19Cjx4eJeo0ibSU5AT169Ci9e/e2P8+dOzflypUD4Nq1a1y6dImCBQs6LkIh0ill6BiGjP981JidE4nSo6hbsBZNizaMW0DW/BTC5Zw5c9bWklm7lv2Yu7s71atX4/ix4/YEtGbNZ+3ns2fPTpnSpTh2/HiS71fhoZVz8uTJDUC5cs/Yj+XOk5vIyEhCQkLw9fUlNDSU4SNG89tvv3P16jWsVisRERFcDLyU5HuLtJGkT84lS5Zw4MABDhw4wMGDB7lz5w7Xr1/n+vXrAKxfv54iRYqQI0cOqlatStWqValSpUqs5nkhMgqlrCilYzLFv7ZlZnTyzmnmHPkJgOH1h8bb+ilrfgrxEC8vW0ukk+6dXrm7P0hPYv6OuLu7xzlmGAYAgwYNYeOmzYz78gtKlChB1qxZad++I5bo6DSMWiRFkhLQtm3b0rZtW/vzCxcu2BPSmKT01q1b3Lp1i/Xr17NhwwaHByxEevFg/KckUAC6ofPO2p5YDSvNizelXqHacQvJmp9CxKZpie4Gd6YSJYrj4eHBzp27KFKkMAAWi4X9+w/Qu3dPe7k9e/ZSuHAhAIKCgjh56jRPlS0LgIeHB7qup0p8O3fu5q233qR165cB25jQ8xcuIlMb068U9R0WKVKEIkWK8Oqrr9qPBQYGxkpIDxw4wI0bN+RDWmQ4hjUSDZn9HmPqvpnsvrKPbB4+TG82Md4ysuanEK7J29ubD95/l48HDyUgewCFCxViwoTJhIdH0K1rZw4f+QeAUaPHkD1HdvLkzs2w/31Ozpw5ePnllwBbzhAaGsqmzVuoWKE8Xl5eeDmoFbZkqRKsXPErL77QEk3T+OzzEfbWUZE+OXzwWqFChShUqBCtW7e2H7t8+TIHDhxw9K2EcBrb+E8LWgKLq2c2x26d4LPtXwAwofFoCvvGHQcua34K4dq++GIkhmHQpcs73Lt3j6pVq7Bu7a8EBATYy4wePYJ+/QZy6tRpKlaswMoVy/DwsA1Tql27Ju+/9w4dO77F7du3GTZsKJ/971OHxDZh/Je88+4H1KvfmJw5czBwQD9CQu45pG6ROjSV0P6ZItlCQkLw8/MjODgYX19fZ4cjUoGhRxEVfgOzm1emb903lEGDn1qw58p+mhVrwqrXFsd9T6xW3Oo0QTtyFKNjO/TZM50TrBBOZrFYuXM3jJw5c8Qa0+jq/ty6jaZNm3Pr5hX8/f2dHY54hDJ00MDN3SfFdVksFm7evEmuXLni/BtOSv6TqtN3IyMjOXLkCH///Td///03X3/9dWreTog0YxhW0Mj0ySfAj//8zJ4r+/Hx8Obr5pPjfU9kzU8hhBAPc1gCeuPGDXuiGfM4depUrDEYkoCKjEIZFln/E7gbGczQrSMA+LT2IAr5FohbSNb8FEII8YhkJaAnT56Mk2zGLMUUI6Zn32QyUaxYMZ555pn4qhLC5SilMPRo2f0IGLnjS26G36JM9lL0rPZe3AKy5qcQmULDBvWxWsKdHYZwIUlKQGvXrs0///xDePiDf2QPDyHNkSMHFSpU4N9//+XmzZvs37+fp556iiwy2UBkJEpHKT3T7/9+9OYxvj74PQCTm47Bwxx3PVRZ81MIIUR8kpSA7t69G03TMJvNlC5dmooVK1KhQgX7z/z58wNQr149bt68SeXKlVMlaCGcSd1PQDP7AvRDtnyGrnReLv0CTYs1iltA1vwUQgiRgCQloB4eHlgsFnLmzMnAgQPp3LlzasUlRLqlDB1U5p6AtOXCNtaf24S7yZ2xDYfHW8b02ShZ81MIIUS8kjSI7dixY7z44otcu3aNbt26Ubt2bVnfU2Q6hmHJ1D3JhjIY8ufnALxXuQslAorFKaPt2Yfp2zmArPkphBAiriQloMWKFePXX3/lt99+o3Tp0uzevZtnn32Wd955h5s3nbSXrRBpzJaAZt7xn0uPreTgtcP4eHgzpFb/uAUsFsw9+6EphfFGe1Qj2QxPCCFEbMmaxtusWTP++ecfxo8fj4+PD3PmzKF06dJMmTIl1fZ5FSI9UEpHGRbIpDPgo/VoPts+GoD+NXqT2ztXnDKmKTPQjv6HypFd1vwUQggRr2R/irq5udG/f39OnjxJ586dCQkJoX///pQvX56LFy86MkYh0g1l6ChlZNoW0AVHl3D27nnyeOemT/UP4xY4ew7TF+MB0MeOgJw50jhCIYQra9ykGf36DbQ/L1GyLFOnTndiRCK1pLgZJ3fu3MydO5ddu3ZRrVo1jh8/TmBgIACnT59OcYBCpCdK6WioTLkGqEW3MHbXJAAGPNsbbw/v2AWUwtx7AFpkJEbDeqg3OjghSiFERrJ713befbebs8MQqcBhn6I1atRgz549zJ49mzx58qCUoly5cgwYMICQkBBH3UYIpzIMCzy09m1m8vN/yzgXfIHcXrl4t1LcFTC0RUsxbfoT5emJ/tVEWfNTCJFiuXLlwsvLy9lhiFTg8Gacrl27cvLkSfr27YtSismTJ1OqVCm+/fZbR99KiDSndAtkwu53q2Fl7K7JAPSt0QMv90c+EG7fwTzoUwCMIf2hZIm0DlEIkYoaN2nGRx/1o1+/geTMlZ/8BYry/fdzCAsL4+2338M/IDdlypbjt9/X2685evRfXnjxZfz8c5G/QFE6d36bW7du2c+HhYXRpcs7+PnnomChYkyaPDXOfR/tgp88eRqVKlXH1y8nRYuVomfPjwgNDbWfnzfvR3LkzMf6DX9Qrnxl/Pxz0fKFVly9ejWV3hmRXKnSj5gtWzYmTpzI4cOHee6557h58ybdu3dPjVsJkWaUMlDKkim735ccW8HpoDPkyJqd9yt3jXPePPQztFu3UU+XxejbywkRCuGalFKERYc55aGS2Jsz/8cF5MiZg107t9Gjxwf06PkR7Tu8Qa1aNdm3dyfPNW1Cly7vEB4ezt27d3nu+ZZUqlSRPbt3sHbNSq7fuEGH1zvZ6/v446Fs276dX35Zwm/rVrN16zYOHfr7sTGYTCYmT5nAkcMHmDPnO7b8uZXBgz+JVSY8PJxJk6byw9zv2bJ5A4GBlxg0aGiSXqtIfcnaCz6xypYty++//86vv/5K//7xLNcihAtRho4ydExmT2eHkqbCosP4fPsXAPSp3h0fD59Y57Wt2zHNXwiAPn0yeGTuHaKESIpwSzh+4+OuJpEWggfejDuW+zEqVCjPJ0Ntu5sN/ngg48ZNJGeOnLzzjm2M5qefDuGbWd9x5MhRNm3eTKVKFRk9aoT9+u+/m0nRYqU5efIU+fPnY87cecyfN4cmjW07qc2d8x1FipZ6bAwffdTT/nvRokUYMfwzuvfozfTpD1pPLRYLX8+YRokSxQHo/uH7jBo9JtGvU6SNVE1AY7z88su0aNEiLW4lRKpRygqZcALS8B1jOR98kcK+BelR9d3YJyMjMfe0fbnU3+2CqlXDCREKIdJChfLl7L+bzWZy5MhOufLP2I/lyZMHgJs3b3DkyD/8+edW/PzjJtdnzp4lIiKC6OhoatSobj+ePXt2ypR+fAK6cdNmvvxyAidOnCAk5B5Wq5XIyEjCw8PtY0W9vLzsySdAvnx5uXFD1ipPb9IkAQXbNp5CuDJDz3wTkPZfPci0/d8AMP35iXFaP03jJqOdPoPKmwdjxP+cEaIQLs3L3Yvggc5JjuKM5X4Cd3f3WM81TcPdzT3WcwDDMAgNDeXFF1sy5otRcerJly8vp0+fSXK8589f4OWX2/D+++8ycsTnZM8ewF9/7eTd9z4kOjranoDGF2dShxuI1JdmCagQrs4wosGUeSYgWXQLH/zeF0MZtH+qDc1LNI1d4NhxTBNs3V76xLHg7+eEKIVwbZqmJakb3FVUrlyJFSt+pWjRIri5xU01SpQojru7O3v37qNw4UIABAUFcfLUaerXrxdvnQcPHsIwDCaMH4vJZOuJWrpseeq9CJGqMldfohDJZBv/mbm24Jyy72uO3DhK9iwBTGwyOvZJw8Dcox+axYLRshnqlZecE6QQIl3q/uH73LkTxBtvdmbfvv2cOXOW9Rv+4O2330PXdXx8fOjWtTMfDx7K5i1/cvTov3R7+z17YhmfEiWKY7FYmD59JmfPnuOnnxby7bffp+GrEo7kkgno0qVLadiwIQEBAXh7e1OxYkXGjRuHxWJJcd3r1q1D0zQ0TaNp06ZPvkBkCkpZbYvQZ5IE9Ozd84z6y7aj0bjGI+JsuanN/RHTrj0ob2/0yeNkzU8hRCz58+dn29ZN6LpOi5atqFS5Ov37D8LP39+eZH755RfUrVOH1q3b0qz5C9SpU5sqVSonWGfFihWYMP5Lxk+YSMVK1Vj486JYk5yEa9GUAwZGbNu2jbx581K6dGkATp48ybVr16hfv36KA3xUnz59mDp1Km5ubjRu3BgfHx82b97M3bt3qVu3Lhs2bCBr1qzJqjsoKIhy5cpx9epVlFI0adKEjRs3JrmekJAQ/Pz8CA4OxtfXN1mxiPRFt4QRHXkHN/eM11X2KKUULy55jT/Ob6Fh4bqs77DSPrYLgGvXcatUEy04BH3caIxeHzgvWCFcjMVi5c7dMHLmzBFnrKIQqUUZOmjg5u7z5MJPYLFYuHnzJrly5Yrzbzgp+Y9DWkAbNmzIl19+aX8+ZswYGjVq5IiqY1m5ciVTp07Fx8eHPXv2sH79epYvX86pU6coX748O3bsYNiwYcmuv1evXly/fp0PPpAPVBGbYVhiJ2EZ2M//LeOP81vwNHsyo9mkOK/bPPATtOAQjCoVMbq/m0AtQgghRMIc1gWfFjPMvvjCthbh4MGDqVKliv14zpw5+frrrwGYPn06wcHBSa57xYoVLFiwgH79+lGjhiwlIx5QSmHo0Zmi+/1ORBADN9t2NBpSux+lssfe0Uhb+zumZStQZjP6jClgzvjviRBCCMdzmTGgly9fZt++fQB07Ngxzvm6detSqFAhoqKiWLduXZLqvnXrFh988AFlypRhxAgZTyJiU0rPNOM/B2/5jJvht3gqRxkGPNs79sngEMy9BwBg9PoQKlVwQoRCCCEyApdJQA8dOgTYFqotVqxYvGWqVasWq2xiffjhh9y6dYvZs2eTJUuWlAUqMhxlWO+Pn8nYCei2i3/xwz8LAJjZfDIe5thr95o+HY525SqqRHGMYR87I0QhhBAZhMskoOfOnQOgcOHCCZYpVKhQrLKJsWjRIpYtW0avXr2oU6dOyoIUGZJSVtBUhh4DGmmNpPv6fgC8W6kLtQs+G+u8tm0H5u9/AECfOQW8kraAtRBCCPEwl1mI/t69ewB4eyc8C9nHxza7KyQkJFF1Xrt2jR49elCiRAn7+NLkiIqKIioqyv48sfcXrsGwRqKRsVs/x+ycxMk7p8nrnYfRDR7Z0Sg8HPOHfYD7223Wky9qQgghUsZlWkBTw3vvvUdQUBDff/+9fQuv5BgzZgx+fn72R0xLrHB9yrDaZsCbXOa7WpLturSXL3dPBmBy07H4Z4m9o5Fp5JdoZ8+hCuTHGPWZM0IUQgiRwbhMApotWzYAwsLCEiwTGhoKkKi1N+fNm8fq1av54IMPaNiwYYpiGzJkCMHBwfZHYGBgiuoT6YdhWDL0BKSQqBC6rPkAQxl0fOY12pRtFeu8tv8gpmm2FSb0ryaCrGsrhBDCAVymWado0aIAj03uYs7FlH2cFStWALBv3744Cei1a9cAOHDggP3cokWLyJs3b7x1eXp64unp+cR7Ctdj6BY0lXHHf/bdOIRzwRco4luIqc+Ni30yOhrzhx+hGQZG+7aoFs87J0ghhBAZjsu0gFaubNue6/bt2wlOMtq/fz9ArDVCn2T//v1s3bo11uPEiRMA3L17134sMjIyha9AuBrb+p+RGbb7fe3p9fx4dBEmzcTcF2fi5xm7ddM0cRra0f9QOXOgjx+dQC1CCEdQyri/4kYaPZTh7Jf8WCVKlmXq1On2527uXvz666oU1emIOp5k+IhRVK367JMLpmN//vknmqZx9+7dVL2PyySgBQsWpHr16gAsXLgwzvkdO3YQGBiIp6cnLVu2fGJ9K1euRCkV72Pu3LkANGnSxH4sMa2qImOx/aHOmOM/wy3h9N04GIA+1btTt1Ct2AWOHcc0ZgIA+oQxkCtnWocoRKahlIEl6g7RkbfS7GGJupPuk9CHXQo8S/PmzRJVNqEkMCl1JFf/fn3YsCFpa5E/mmxnFi6TgAIMHToUgLFjx3Lw4EH78du3b9O9e3cAevbsiZ/fg0kUK1asoGzZsjRp0iRtgxUuTxnRKGVkyPGf43ZP5XzwRQpmy8+ndQbGPqnrmN/vjWaxYLzQHNXuVecEKURmcb/1E82Mprmn+gPNbLtfKieg0dHRDqsrb968KR7q5og6nsTHx4ccOXKk6j0S4sj3Oy24VALaunVrevfuTWhoKDVr1qRFixa0bduWkiVL8s8//1CnTh1GjhwZ65rg4GBOnDjBmTNnnBS1cFW6HoWmudT/RBLl1J0zTNgzDYAJTUbj4+ET67zp6+8w7TuA8s2GPmUcZNDxr0KkNxomNJM59R/J+Ohv3KQZvXv3pXfvvmTPkZc8eQvxv8+Gx9qGu0TJsowaPYYuXd4hIHsePvigJwA7duykQcOm+GTLTtFipejTp3+sCcU3btzg5dZt8MmWnZKlnmLhwkVx7v9o9/mlS5d4483O5MpdAF+/nDz7bB327NnLvHk/MnLkFxw+8g9u7l64uXsxb96P8dbxzz9HafpcC3yyZSd3noJ88EEP+2RmgG7d3uPVNu2YOGkKBQsVI3eegvTq1QeLxZLg+/Ro6+uT6mjcpBkXLlyk/4BB9nhjPOl9i+/9rluvEYOHfBorpps3b5LVO4Dt23cA8OOPP1KtWjWyZctG3rx56dixIzdu3EjwNaUWh3y6du7cmbp169qf161bl7feessRVccxdepUFi9eTK1atdi5cyfr1q2jYMGCjB07ls2bN5M1a9ZUua/IXJTSUUZ0hut+V0rRd+NgovVoni/WmFdKvxS7wJmzmD63jffUvxgOBQukfZBCiHRp/o8LcHNzY9fObUyeNJ4pU75i9uy5scpMmjSVChXLs3/fLj75ZDBnzpzlhRdf5tVXWnPo4F4WLviRv/7aSe/efe3XdHv7PS4FXmLjH7+zeNECZn7zLTdu3EwwjtDQUBo3acbly1dY8ctSDh7Yw4AB/TAMRbt2benb9yOeeeZpLgWe5VLgWdq1axunjrCwMFq+0IqAAH9279rOokU/sWnzFnr37her3J9/buPsmbNs/ON35sz5lnnzf7IntIn1uDqWLf2ZggUL8Pnnw+zxAol63+J7vzu+3p4lS5bG+mKwZMky8ufPR926tjWcLRYLI0eO5PDhw6xcuZLz58/TpUuXJL0mR9DUw1EKhwgJCcHPz4/g4OBELQkl0h/dGkl0xC3Mblkz1Az4FSdW035lFzzMHhzqtoNS2Us8OKnrmJ97CdOuPRgN6qKvWwGmjNcCLIQzWSxW7twNI2fOHLi7uwO28ebRkbdsXeSm1B/yowwdpSx4ZMmZ6C/ZjZs04+bNmxw5fMD+N3HI0GGsWbOWf47YhsSVKFmWSpUqsnzZYvt17733IWazmZkzH4xx3LFjJ42bPE9I8C0uXgzk6WcqsmvnNqpXt22nffz4CcqVr8zECeP46CNbK6qbuxfLly3i5Zdb8d13sxn08VDOnD5G9uzZ48Q6fMQoVv26mgMH9sQ6/nAd338/hyFDh3H+3En7Bjfrfvud1q3bEnjxDHny5KFbt/fYum0bJ0/8i9ls++/S4fU3MZlMLFwwP9736dF7J6aOEiXL0rtXT/trTcz7liVLlnjf75s3b1KocAn++OM36t1POOvWa0S9urX54osRuLnH7vEC22Ts6tWrc+/ePXx8fPjzzz9p1KgRQUFB+Pv7xylvsVi4efMmuXLlsv8bjpGU/Ec+XYSIh6FHoZGxll8Kiw5jwKZPAOhfo1fs5BMwTZ+FadcelI83+qyvJPkUQsTybI3qsf4m1qpZg1OnTqPruv1Y1aqxV6E5cuQf5s3/CT//XPZHyxdaYRgG586d5/jx47i5ucW6rmzZMvEmPjEOHz5CpUoV400+E+vY8RNUqFA+1u6KdWrXwjAMTpw8ZT/29NNP2RNHgHx58z62dTY+yanjSe9bjEff71y5cvHcc034+f4whnPnzrN79x5ef729vcyBAwd46aWXKFy4MNmyZaNBgwYAXLx4MUmvK6UyVv+iEA6glIGhR6CZ3J9c2IWM3jmBwHuXKepXmI9r9Yl98sRJ7F3vY0dCkcJpHp8QwvV5e8XeLjs0LIz33n2bnj27xylbuHAhTp06Fef4k2RJw6F2j7bwaZqGYSRt8lZy6njS+xbj0fcboOPrHejTdwBTp07i50WLKV+uHOXLPQPYhh40a9aMZs2asWDBAnLlysXFixdp1qxZmk9ikgRUiEcYejSGbsXslsXZoTjMsVsnmLLPtqPRpKZj8HpooDtWK+Z3e6JFRmI81xjVLXXGbwshXNvefftjPd+9Zx+lSpWM1br3qMqVKvHfseOULFki3vNlypTBarVy4MBBexf8iRMnH7sGZYXy5Zgz5wfu3LkTbyuoh4cHuv74BO+psmWYP/8nwsLC7K2gf+3chclkokzpUo+91tE8PDzQDT3WsSe9b4/TqtWLfPBhT35fv4FFi5bw5psd7eeOHz/O7du3GTt2rH3b8Jg11NOa9LEJ8YgH3e8Z538egzYPw2pYeaFkc14s2TzWOdPk6bZZ736+6F9PkVnvQoh4XbwYSP8BH3PixEkWLVrCjBkz6RVPC93DBg7sx65du+nduy9//32YU6dOs2rVavtkmjJlStOs2XN0796LPXv2cuDAQd57v/tjJxR36NCOvHnz8Gqb9vz11y7Onj3HL7+sZNcu27jLokWKcO78ef7++zC3bt0iKioqTh0dO3YgSxZPunZ7l6NH/2XLn1vp06c/b77RkTx58qTgXUq6IkWKsH37Di5fvsytW7eAJ79vj+Pt7c3LrV7i889GcOzYcTq0b2c/V7hwYTw8PPjqq684e/Ysq1atirN6UFpJ0idsjx49kDlLIiPLiN3v689uYv25Tbib3Bnf+JE/NP8ewzTqSwDbbkcy610Ip1EYtglCqf0geet/dnqzI5EREdSqXZ9evfvSq1d33n337cdeU6FCeTZvWs/JU6dp2Og5qlWvxeefjyJf/nz2MrO/n0W+/Plo3KQZr7V7nXff6Ubu3LkSrNPDw4Pf1q0md+5cvNTqFSpVrs64cRMwm20pzauvtqZZs+do+lwL8uYrzKJFS+LU4eXlxbq1q7hzJ4iaterRvv0bNG7UkGnTJiXrvUmJzz8bxoXzFyldphx589mGPyXmfXuc1zu25/CRf6hbt06sLvtcuXLxww8/sHTpUp5++mnGjh3LhAkTUuV1PUmSZsGbTCZatWrFzz//LMsdPYbMgnddD2a/Z8kQLaBWw0q1uQ3479Zx+lTvzriHE1CLBbcGzdAOHcZo2Qx92QJp/RQilcU7C/7+TkjKsKZZHJrJDXfP7In+O9e4STMqVazApEnjUzkykRqUoYNGvLPgk8pRs+CTNAa0YsWKrFq1ikaNGrF69Wpy5Ur4G4oQriijdb/PPfIT/906TvYsAQyp3T/WOdP4KWiHDqMC/NGnT5LkUwgn0TQT7p7ZU31notg3NWWYv3PCNSXpX9/27dt5/vnn2bt3L7Vr107W7DUh0quM1v0eFHmXz7ePAWBY3UEEZPF/cPLwPw/2ep/0JeTL64QIhRAxNM2EZnJLu4ckn8LJkvQv0MfHh7Vr19K1a1fOnDlDnTp12LVrV2rFJkSaUoYFw7BmiN2PlFL0WN+fm+G3KJ29JO9V6vrgZHQ0bu/2QLNaMV5+EdW+jfMCFUK4hM2b1kv3u3CoJH8FMpvNzJ49m88++4xbt27RpEkTli9fnhqxCZGmdD0KMkj3+0//LmbZ8ZWYNTNzX/gad/ODVl3TF+PR/vkXlTMH+rQJ0vUuhBAizSX7k/azzz5jzpw5WK1W2rdvz+TJkx0ZlxBpSimFoUdi0ly/9fNM0Dk++mMQAP+r+zHV81e1n9N278M0fgoA+pTx8JiZpkIIIURqSdGnbZcuXcifPz+vvfYaAwYMYPPmzdSvX5+qVatSpUqVx26lJUR6ogwLSrdgMnk4O5QUUUrx7rpehEaHUadgTQbV7PPg5L17mN/+EM0wMNq3RbV52WlxCpGpKZAVDYWrctRynClu7rFarRQpUoSjR4+ydu1a1q1bZz9XpEgRezJapUoVmjVrltLbCZEqlGFBKQPNlPCOHq5g4X9L2XFpF17uXsx9cSbmh16PedCnaGfPoQoVRJ8yzolRCpF5mc0m0BShoWH4+HjLCBiRJpRhgAYKS/LrUApd1wkJCUHTNNzcUpZCJutqXddZsGABEyZM4N9//0UpRZ48eXj11Vc5ceIEhw4dIigoiPPnz3P+/Hl++eUXNE3Dak27Nc6ESArdGunyYz9DokIYsuVzAIbU6kdRvwf7uWur1mL64SeUpqHP/hr8/ZwUpRCZm8lkwt/Pm7vBYURFRoIkoCINxCSgZrfwFNfl4eFBjhw50FL47SlJCWhYWBizZs1iypQpXL58GaUUBQoUYNCgQbz77rtkyfJg7+xz585x8OBBDh48yP79+/n7779TFKgQqUUZVgwj2uWXXxr91wSuhV2nZEBx+lR/aHu8q9cwd+8DgNG3J6peHecEKIQAwNPDnVw5fJ+4X7kQjmIYFkDD0ytl4/5NJhMmkynFySckcSek7NmzExwcjFKKokWLMnjwYLp27RpnJfzMTnZCci26NQJL5C1MZi+H/I/KGY7dOkHVufWxGlZWtV1M8xJNbSeUwty6PaYNm1AVy2Pduh48PZ0brBBCiDRl6NGgaXh6pe4+96m2E9Ldu3cpVaoUQ4YMoVOnTpjNrj1eTgiw7X4Emssmn0op+m0cgtWw8mLJ5g+ST8A0a7Yt+cySBevcbyT5FEIIkS4kKQFdsGAB7du3x2Ry7bFyQsRQSsfQI126+33FydVsurAVT7MnE5qMfnDi2HFMQz4DwBj9GTxV1kkRCiGEELElKZN8/fXXJfkUGYqhWzB0K5qLrv8Zbgln4KZPAej/bC+K+xe1nYiIwO2td9EiIzGea4zxwTvOC1IIIYR4hGSTIlMz9Cg0lMt2v3+5awqB9y5T2Lcgg2p+ZD9uGvI/tKP/oXLnQv9uBsgXRyGEEOmIfCqJTEspw6W734/fPsmkvdMBGN94FF7uXgBov67BPGsOAPrsmZAnt9NiFEIIIeKTpAT0o48+4vbt2ym64c2bN+ndu3eK6hDCEZRhwTAsaCbX637XDZ331vUmSo+iWbEmtC79ou1E4GXMH9paQvW+vVBNGzkxSiGEECJ+SUpAZ8yYQbFixRgyZAinTp1K0o1OnDjBwIEDKVGiBDNnzkzStUKkBl2PApRLLkD/9cHv2X1lHz4e3sxoPsk2hMBqxdz1fbSguxhVK2N8PtTZYQohhBDxSlLTz759++jVqxdffvkl48aNo1atWjRp0oRatWrx1FNPkSNHDnx8fAgNDeX27dv8999/7Nq1iz/++IO9e/eilKJOnTp89dVXqfV6hEgUpRSGNRKTC04+Onv3PMO2jQJgbMPhFPYtCIDpy0mY/tqFyuaDPv878HDtfe2FEEJkXEn69K1cuTI7duxg2bJlTJ48mZ07d7Jr167HXhOzzn3t2rXp27cvbdq0SX60QjiIMiwow4LJ7FrrYiql+OC3jwi3hNOgcF3eqdQZAG3HTkxfjAdAnzYRihdzZphCCCHEYyWr+adt27a0bduWv//+mxUrVrBlyxYOHTpEWFiYvYy3tzdVqlShUaNGtG7dmkqVKjkqZiFSzDCiURgu1/0++/B8/ry4g6xuWfmm+RRMmgmu38Dc6R00w8Do9DqqQ1tnhymEEEI8VpK24nyS8PBwgoOD8ff3J2vWrI6q1uXIVpzpm1KK6MibYOgu1QIaGHKZSrNrcy86lPGNR/FR9Q9B1zG/2AbTn9tRT5fFum0DeHs7O1QhhBDpiMtvxRnj/PnzHDx4EKUUJUuWpGLFigB4eXnh5eWVnCqFSDPKsKB0Cyaz64yRVErRc31/7kWH8mz+avSs+h4AptHjbMmntzfWBXMk+RRCCOESkpSAKqXo0aMH3377LQ83nJYuXZpvvvmGBg0aODxAIRztQfe72dmhJNqiY8v57ewfeJg9+LbFNMwmM9ofmzGNnQiAPmMylC3j5CiFEEKIxEnSALhZs2bxzTffYBgGAG5ubiilOHHiBM2aNWPr1q2pEqQQjqKUQrdGuFTyGRwVwqDNwwAYUqs/T+UsY1vvs+v7aEqhv9cV1V4m9wkhhHAdSUpA58yZg6ZpDB48mJCQEMLDwzl+/DidO3cmOjqad999N7XiFMIhbN3v0Zg019n96PPtX3A97AalspdgwLO9wGLB3OlttNt3MKpUxBg32tkhCiGEEEmSpAT02LFjlCtXji+++AJvb2/MZjOlS5dm7ty5dOzYkTNnzvDnn3+mUqhCpJxhRKOUgWZyjRbQQ9cOM/PgbACmPTcOTzdPTEM/x7RnH8rPF/2nOeDpOhOphBBCCEhiAhoWFkaFChXiPdevXz+UUuzcudMhgQnhaLbu90iXST6thpUeG/pjKIN2T71Kk6IN0X5einn6NwDo382AYkWdG6QQQgiRDEleBNHdPf6uyzJlbBMgrly5krKIhEgltu73KJfpfh+zcxL7rx7C1yMb4xuPhL+PYO7eBwD9436ol1o6N0AhhBAimRy2Crf3/eVfIiIiHFWlEA5ln/3uAi2gey7v44udEwD4qtkE8kW649b+LbTISIzmz2EMG+zkCIUQQojkS3ICumfPHqZMmcKWLVu4c+dOnPMOXNdeCIexdb+Hu8Te7/ei7tF5zQfoSqfD0215vXRrzG+9g3YxEFWiOPrcWWBO/0m0EEIIkZAkfxofO3aM/v3725/nz5+fihUr2hej13XdcdEJ4SCutPh8/02fcPbueQr7FmTac+MwDRuJacs222Lzi+eDv5+zQxRCCCFSJElbcS5btowDBw5w4MABDh48GKsFVNM0++/58uWjatWqVKtWzf4zd+7cjo08HZOtONMfS/Q9rNF3cXNL3zsFrTixmvYru6Ch8cfrv9Jg93XcOtuWN7MumIt6tZWTIxRCCOFq0uNWnCnaC/7ChQv2hDQmKb1169aDyh9KSgsUKMDFixeTeyuXIglo+qKUQXTELVDpe+/3y/euUHVOfe5EBjGw5keMztYKt6YvokVEoA/4CGPk/5wdohBCCBeU4RLQ+AQGBsZKSA8cOMCNGzfQNC3TdM9LApq+GHoUURE3MZuzoGkOm3fnUIYyeGFxWzZd2ErlPBXZ3nguXg1bol29hvF8E/RffpZxn0IIIZIlPSagDp+RUahQIQoVKkTr1q3txy5fvsyBAwccfSshEkW3RgIq3SafAEO2fM6mC1vJ6paVeU0n49WuK9rVa6inyqDP/16STyGEEBlKmkwJLlCgAAUKFEiLWwkRizKs92e/p9+1P6fum8nkfTMA+KbZZJ4ZMAnt0GFUzhxYf/kZ/KQVXQghRMaSfpuEhHAAQ49CGVY0U/pMQJccW8HAzZ8CMKbh57yx9ASmX9egPDzQF82HokWcHKEQQgjheJKAigxLKQOrNQzNZI41IS69OHT9CO+s6wlAz6rv0f9MbszjJgOgfz0ZVaemM8MTQgghUk36X5VbiGQy9GgMPRqzOYuzQ4njdsQd2q/oTKQ1kpYlnmeC5wu4ffgaAPqAj1BvdHByhEIIIUTqkQRUZFi6NQIN0t3kI93Q6bz6fc4HX6SEfzF+KN0Pj2bt0aKjMVq9gDH8U2eHKIQQQqQqSUBFhmQYFgw9Es2U/nY+Gr5jLBvObSarW1YW151AzlfeQbsbjPFsdfQfZoEpfSXMQgghhKPJJ53IkHRrBMqwYDKlr+9Yq06tY+yuSQB802AMVbr+Dy3wEqpUCfTlCyFrVidHKIQQQqQ+l0xAly5dSsOGDQkICMDb25uKFSsybtw4LBZLkuo5dOgQY8aMoUmTJuTJkwd3d3cCAgKoV68eM2bMSHJ9In1QSsewRmBKZ62fJ++cptua7gD0rPQ2b/7vF7R//kXlyY111VLIkd3JEQohhBBpw+E7IaW2Pn36MHXqVNzc3GjcuDE+Pj5s3ryZu3fvUrduXTZs2EDWRLQiWa1W3N1tS/P4+PhQvXp18uTJw6VLl9i1axe6rlOjRg3Wr1+Pv79/kmKUnZCcS7eGY4m8jcnslW5mv9+NDKbBTy04dvsEdQo8y6ZNBfBc9AvK2xvrhlVQpZKzQxRCCJFBpcedkFyqBXTlypVMnToVHx8f9uzZw/r161m+fDmnTp2ifPny7Nixg2HDhiW6vqpVq7JkyRJu3brF5s2b+fnnn9m+fTuHDh0iX7587N27l379+qXiKxKOppRCt4QDpnSTfIZGh9JqaXuO3T5BPu88LPr3KVvyaTajL5wryacQQohMx6VaQGvUqMG+ffsYNWoUn3zySaxzO3bsoF69enh6enL9+nX8/PxSdK+ffvqJTp06kTVrVoKDg+2tpYkhLaDOY9v3/RZmswea5vztKyOtkby8rANbLmwnIIs/m8LbUHnEbACs336F6tTRyREKIYTI6KQFNAUuX77Mvn37AOjYMe6Hdt26dSlUqBBRUVGsW7cuxferXLkyABEREdy6dSvF9YnUp5RCt4ajKSNdJJ9KKbqu6c6WC9vx8fBmrfa6PfnUx42W5FMIIUSm5TIJ6KFDhwDInj07xYoVi7dMtWrVYpVNiVOnTgHg4eFB9uwyOcQVGHokVksYpnSy8PyMA9+y/MSvuJvcWZntbWp9PBMA/dOPMXp94OTohBBCCOdJX2vUPMa5c+cAKFy4cIJlChUqFKtscimlGDduHAAvvvginp6eKapPpD5lWLFGh6BpJjST81s/9105wMdbPgNgXI52NO41HQC914cYQwc6MzQhhBDC6VwmAb137x4A3t7eCZbx8fEBbGMQUmL48OHs2rULHx8fxo4d+8TyUVFRREVF2Z+n9P4iaZRSWC2hGEY0ZrOXs8PhTkQQHX99G4thoY1/TXr3WYxmGBhd3sT4ciSkk8lRQgghhLO4TBd8Wpk/fz4jRozAZDIxZ84cSpUq9cRrxowZg5+fn/0R0xIr0oZhjcBqCcVsyuL0me8Rlgja/PImF0ICKeGZl+8/O4TJYsVo0xp9+iRJPoUQQghcKAHNli0bAGFhYQmWCQ0NBUj2zPOlS5fSrVs3AL777jtee+21RF03ZMgQgoOD7Y/AwMBk3V8knaFHYYkOxqSZnd71rhs6ndd8wF+XduNn9uKXGbfxD47CeLE5+pyZYHb+0AAhhBAiPXCZLviiRYsCPDa5izkXUzYpfvnlFzp27IhhGMyaNcueiCaGp6enjBN1AsOwYom6C8rA5ObcLSyVUvTbNISVJ9fgobmxYr6FCpcstuRzwVzwSF+7MgkhhBDO5DItoDHLIt2+fTvBSUb79+8HoEqVKkmqe+XKlXTo0AFd15k5cybvvvtuyoIVqU4pA2tUMIYR7fRZ70op+m8aysyDtiWW5v8CjU5ZMF5sIcmnEEIIEQ+XSUALFixI9erVAVi4cGGc8zt27CAwMBBPT09atmyZ6HpXr15Nu3btsFqtzJw5k/fff99hMYvUY7WEolvDMZuzOnXcp6EMev8xkOkHvgXgm9/caH/Yej/5nCPJpxBCCBEPl0lAAYYOHQrA2LFjOXjwoP347du36d69OwA9e/aMtQvSihUrKFu2LE2aNIlT37p162jbti1Wq5VvvvlGkk8XYehR6JZQTGYPNM15/4QNZdBjfX9mHZqLhsbsNWbe3yPJpxBCCPEkLjMGFKB169b07t2badOmUbNmTZo0aYK3tzebNm3i7t271KlTh5EjR8a6Jjg4mBMnThAZGRnr+I0bN3j11VeJjo6mYMGC7Ny5k507d8Z73wkTJpAzZ85Ue10i8ZTSsUTfs437dGLXu6EMPvitDz/8swATGnNXwlt/6xgvv4g+/ztJPoUQQojHcKkEFGDq1KnUqVOHGTNmsHPnTiwWCyVKlGDw4MH07dsXj0R+8IeHh9vX7rx06RLz5s1LsOznn38uCWg6oJSBNfoehjUCs5vz1vvUDZ33fuvNj0cXYULjx+WKjv+A0el19K+ngJvL/c9KCCGESFOaUko5O4iMJiQkBD8/P4KDg5O9JJSIzZZ8Bj9Y79NJSy7phs4763qy4N8lmJXGgmWK9v+C3uN9jHGjwORSo1qEEEJkAoYeDZqGp1eeVL1PUvIfaaoR6Z5SBpaoYHRLKGaz85JPq2Gl29oeLPpvGWal8fNSxWv/3d/bfehAWWReCCGESCRJQEW6ppR+P/kMw+yW1WmTjqyGlS5rPmTJsV9wUxqLlyhePQb6+C8wesrkNSGEECIpJAEV6VZ6ST4tuoXOaz5g2fGVuBsaS5YoXj7thvX7qag3OjglJiGEEMKVSQIq0iXDsGCNCrGt9enk5PPNVe+y4uRq3HVYvljx4rVs6L/+gGrc0CkxCSGEEK5OElCRriilMPQIrNEhGLrFqclnaHQoHX99m9/PbsRDh18WQcvw/Fg3LYZyTzslJiGEECIjkARUpBuGYUG3hGKNDsNkMmN283LaLkdXQ6/RellHDl0/TFYLLF8Mzb3LY/39Z8ifzykxCSGEEBmFJKDC6ZQy0K0R6JZ7GIbFqTPdAU4HnaXFole5EBJIrjBYsxCqPdME60+zIVs2p8UlhBBCZBSyaKFwKmVYsUQFY4m6A0phNns5Nfk8dusETX56gQshgZS6Dbu+h6qt30dfvlCSTyGEEMJBpAVUOI2hR2GJCsYwomytnprzEk+AIzf+pcXCl7kZFUT567BhkTs5v5yE0amjU+MSQgghMhpJQEWaU4YVqyUU3RIGYGv1dPIi7r+cWMU7qz4k1IikyhVYvz4X/it/QtWo5tS4hBBCiIxIElCRZpQyMKwRWC33MPRoTOYsmEzO/SeoGzrDto5kwt6vAGh0DpadrEi2zQtQMtlICCGESBWSgIpUp5RCGdFYo++h6xGYNDfMbt5Ob/W8FX6bTss6s+nqLgAG/AWjC72Jtu5LyJLFqbEJIYQQGZkkoCJVGXo0ujUM3RIOgNnsvHU9H3bo2mHa/dyeC9E38Y6G73/3pG3PqajXX3N2aEIIIUSGJwmoSDFbC6cVpawYhgWUFWUAGLbnhhWT2RPNyd3tMeYfXkCP3/oSpemUvA2/7C9G2TkLUWVKOzs0IYQQIlNIHxmBcElK6bYWTks4hh4FGKAUaCZAs/2fZsbk7u3sUAGI1qMZsKI335xZChq8eALmZW1HtjUTwcvL2eEJIYQQmYYkoOKJlFKgDJTSUcoApaNbo1AqGsOwoqFhMnk4df3OJ7kScoUO373Ebut5NAWf7fJgSPvJaB07ODs0IYQQItORBFTEYks2dYyYLnU9GmVY7ieehu08Ck0zoZnc7o/pdO5koifZceQ3Ov76Ntc8ovCPgB9PPEWzaT9DkULODk0IIYTIlCQBFShDxzCiMPRoDCMaZegoQwdNoWFC08y2h8kd0NJ9wmmnFD/PG8rbV77F6gHlb2gsLdCL4guGgcn5E6GEEEKIzEoS0Ezo4VZOQ4/G0MNRhgVbcmlLNk1uHq6TaMbn8hW+Hd2eXoX/Q5mhfaAv37y9FO/KsrC8EEII4WySgGYwscdrWlHKQBkGYHso48FYzphWTpPmjikd7EbkEIaBmjOPL1cN5X91ogHoqVdhwoRVmLJkdXJwQgghhABJQF1azALvDxJK64MudKUDCk0B9sRSu78Gp4ZJM4Ort3I+6sRJrvfvRbf8+/mjju3QkFKd+fyViRnrdQohhBAuThJQF6aUjiUqCEO33F/1yGSbHKSZMZnc08WC72ni3j20MRNYuulrejY3uOMFWXFn4nNjeKdKV2dHJ4QQQohHSALq0hRKGZjdsqBp6XcJpFSjFNri5Vwe/Qk9atxi7au2w1UCnmJem7mUyVHKufEJIYQQIl6SgArXdOQo5n6DWXNrF2++Bvc8wUNzY3CdAQyq+REeZg9nRyiEEEKIBEgCKlzLxUuYR3wBCxczvjYM6QBKg5r5qvJNy2k8nbOssyMUQgghxBNIAipcQ9BdTOOnYPr6W266RdGzLSx9xnbq/cpdmdRkDO5md+fGKIQQQohEkQRUpG/h4ZhmzcE0fjLq7l1mV4ZBLdwIcrdi1sxMavoFH1Z5x9lRCiGEECIJJAEV6VN4OKbv52GaNA2u32BDCRjylieHAqIAK5XyVODrZhOplu//7d13XFRX2gfw37kzMCAdFEQBJeJaiYpgA0ssG9dEWaPGxVh3o26qLTH66kbzrom6aasmb2KKJZaYqNFoLAE1FqKxYjdRAypqLIAURdrM8/4x3MsMUxgQZxh8vp/PBLjn3DPnHg6Zx3PPOTfK0TVljDHGWCVxAMpqFoPAk27dwpamwLsDNdhbvxBAIbxcPfGv2DfwcvQ4qCXuvowxxpgz4k9wVjNk50D6fCmkjxdDe/sWlrYB5g9T47xPCYBCuKpc8WLU85jaaSLq1glwdG0ZY4wx9gA4AGWOlX4N0kefQlqyHHTvHr5tCbypBJ4l8Hb1wvNtR+Gl9uMQ6t3Q0bVljDHGWDXgAJQ5xvGTUC36BOLb74CSEv0cz6fL5ngGuPvj9Y4TMLbtKHhpvBxdW8YYY8xuiMjwp/KpBoeoXA6DvAZlEJVAiJq1UwwHoMx+CgshvtsEafGXkA4eBgAcbgBMG+KDXX45kOd4TurwMiZE/5MDT8YYYxUyDtaA6gjYzJVDZsoxm9cw8BPmsgn9NwIQpd/rzxCl6QQIwxP1ueTvy34oXzggDM8z+F4IV0g1bKtCDkDZw5d+DdKXyyAtXQFx6zYA4HSwGm/9LQjrfK4ByIGryhUvtPsH3ug8ied4MsbYQ2D7qFpZum2Bmml5Dx6sCYM6WQjYSJSVVS0BW/k8kkG5ApKcVnpM/0UqV2dRVmal6ySXa3rM3HmifB6T+psrr+bgAJQ9HIWFEJu3QfpqFcSOnyBI/z+M7R388eFffJAo0gBcg4DAc62fxay46WjkE+roWjPGHlHWg7PSYxZH0cr9VOGIXEUBmuXyzAdpouwcm4M0/fnVE6gJg2PC6L8Q8tsKg3PKvq/eYM1SvcyUaek6zJbJHgYOQFn1IQJOnob01WpIa9ZCZN0BABSogRWDIrCgzX2cKboGIAuSkBDf9CnMjJuKyHotHVtvVqvpAwv5ZfghWP5D3/hDxxk/hExvRVbPdZS1odFR20fM9IWYK7ncT1TucFUDM8OsZaNn+p8eNDiTyyyXu8KRNPmYYYCmf9+y7LaOplmrn/mAzLZRNTPlmr0eDtTYg+MAlD241DRI366H9M16iF/PK4dPta6HL/4aipV1fkdW0UWgCPB09cDfHx+Bl9qPQ7hvIwdWmtVERDoQaQHS6X8GGX0cljE8RqWjSWTwvf7DkYhKP+D1H+YE40BKQJgdyzIOluQPaJI/dpV3LTu1XFCrfGAblyvMxVNm2DpvTKmV2Xlj+usQBsn6k6msLsJ4VEppM+gAIuWKjYM35WqsjpgBlRk103+VlIzCIFmYnleZ0TOjtzUfhFkNzsqdb1K2pWszKZcxZogDUFY1V65C+v4HiG/XQzpyTDmc5+mKNUNb4svm93Dw3gUAt4EiIMw7BC+1H4e/txkBH4234+rNKq1sVM3gqzyYKH/oEpUFZJWdK0Y6gHSl8ZGAECoIoQJE2Zwr4yCRDCMqQEiQoIKQJKD0q4AAhAQhJBgGNDAaybM4ZGbm2k3TTK/V9JjF0UDAfNvYdBuy9Ody35u/FUn69i33O5F/V6TTAdC/SKc/LkFASCoISa0PCYVUWnZZoFg+oKtMwMdBGWMM4ACU2YoIOH0W0uatkDZvhTh+UknSqSQcGhCFLzq74pviE7hbfBy4B6glNZ6O6Iu/Pz4CfcKfgEpSOa7+zIQ82kg6LQCdwTpMM7coDUYRlZhCByiRqEEwWtm5YpIkQUiuEEKCEGp98CO4rzDGWG3GASizrKQE4sBBiE1bIf2wDeLSZSWJJAlXe7TFqj5BWOl+EWeyjwD5+rQIvyb4e5vhGN5qKOp7Bjmo8qw80mlBVKIPOon0I4eSCpJKAyG5QJJUZm93Go1+mdzihcEt4fK3VMu+51EvxhhjhjgAZcYup0Ps2g1p526In/YoC4kAgNzccPfPcdjQMxgr6qRi5/X9oEICCgE3tRsGNRuAv7cZgbiQzhxwVIKywIPKbik/aPsZlkmkhY6KISBBSC5Qqd0hSa76W6ySuvQ2NWOMMWY/HIA+6nJyIfbsKw0690Bc/N0oWevvi5SBHZAU5Ysdmmv4+Y99KMwuBLL16XEhnTG89VA802wAfN187F//GqRspbDxAhn9/EY5GNQZHEPpApHS29ulQSfpdPqlMQRAuR1tsKDFYE5mWXlUtqBX+aoPZIWQoFZ7Q6V2h5Bc+B8HjDHGHI4D0EdNZhbEL4cg9v8C8fMvEEeOQWi1SjKpVLgU1wpJXYOxo34+dt09g8yCROB2WRFNfMPxXOuhGNZqCB7zbWz/a3CwslvZpYtnSm9By7e1DUczhTBYxCEEJEljsMDDcKGMwYbHpXMzdbpikLYIOl1xaVnlboMLNVSSBEBtsPCmdG6lvPimtHwe5WSMMVaTcABamxEBl6/og839ByHt/wXi3G8m2e60aIxdfR5D0mPATl0qLuaeBHASyNCne7p6oHtYV/Ru3B29GvdAM/+mtXoUTb84RweQ1ijIVOY7ChWEUJeOKJYPJOV2kUcp5eCz8kGgCu6l9ZH/gWC8XQ5jjDHmrDgArU1u3oI4dlz/SjkBcTQF4sZNk2yFLSKwv1s4djSVsENzHUeyzkBHl5Tb6iqhQocG7dGrcQ/0btwDMcFRcKlhz5CtDkRUGmTqA02CrvTutTxqqIJKrYEQLqUjmaWji5Jav1rbTkEgrwhnjDFW23AA6qzy84Hdu6D6ZS9Ux09DHDsBce26STatixpnujbDweggnAxR45RrNo5knsG94ovAXehfAP7kH4HejXugV+Me6BYWWyv36izbdqgEBB30I4mq0kDTrXR+pMpgH8oHXwzEGGOMMVMcgDqrGzcgPdXf6MFtd12BszFhOBkZiNOhGpz2yMeR/N+RU3QGwBkgqyxvvTp10bNRd/Ru3B09G/dAqHdDe1/BQ2e4zyVBC0BAktSQ1O6QVBpIkro00FRxoMkYY4zZEQegTiqvQV1siX8MJ0NdcCZI4LRLNtIKboJwBcAVoBjKLXUPFw90aBCFNoGRaF2vBdoGtUHrei0g1cKFKTpdSekIp0HAqdJAUmsgSS6lo5y177oZY4wxZ+KUAejatWvx8ccf48SJEygqKkJERASee+45TJo0CS4ulZ+rePToUcybNw979+5FTk4OgoOD8fTTT+Nf//oXAgMDH8IVPLjswhwktEvV/6AtfQEI8ghEq7rN0apuC7Su1xJt6z+OyHotoZac8ldtEyIdSFcMna4EQlJDUrlCUruVBpxqnkPJGGOM1TCCyOzDmmusiRMnYsGCBVCr1ejZsyc8PT2xa9cuZGdnIy4uDomJiXB3d7e5vHXr1iEhIQElJSWIiYlBeHg4jhw5gtTUVAQFBSE5ORkRERGVqmNubi58fHyQk5MDb++HM5eSiNBnRW808gpGq3otEVmvFVrVa4F6deo+lPeraYi00GmL9SvEhQRJUkPl4lF6a732LZhijDHGarrKxD9OFYBu3LgRAwcOhKenJ/bs2YOoqCgAQEZGBnr27IlTp05hypQpeO+992wq7/r162jatCny8/OxePFijBs3DgCg1WoxevRorFy5EjExMTh48GCl5gjaIwAFAJ2uGEX3b+tH+mrpKF/Z5u5UumpdP9pJQoJKpdHP51RGOvnWOmOMMeYotTYA7dChAw4fPow5c+ZgxowZRmnJycno2rUrNBoNbt68CR+fip/KM3XqVLz77rvo3bs3kpKSjNLu3r2LkJAQ5OTkYPv27XjyySdtruejEoBqdYSDl3JwMC0XEEBMmBcA4Je0XJy4lodLGfdwt5CgUgncL9KhWKffybKOq4C7iwARIAlArVJBJXQoKCb41nFBv1Y+cJUErueVINRXg4TouhBCYPWRDKRnF6GRvwdGdnkMGle3Si8e0uoIh9KycCuvAIFebugQ7g+VZFqGVkf45fdMHEjNACDQuUkAOj0WAJUklDJu5BYg624hfN1dkH2/GP6eGgR6aQACMu4VWi2/svVh1nE7MsaY49XKAPTatWsICQkBAKSmpiI8PNwkT1hYGNLT07F69WokJCRUWGbTpk1x8eJFLFmyBGPGjDFJHzlyJFasWIFx48Zh8eLFNtf1UQhAfzybiZmbU5F9v+Shv5fBQygVkgDGdg3H9H4tbS5n++k/8Nbms/gjp0A5Fuzjhln9W6Jv62CjfNO+O4Xs/GKj833ruGBodAg2nfjDqAxrzJVf2fow67gdGWOsZqhM/OM09yxTUlIAAP7+/maDTwCIjo42ymtNXl4eLl68aHTeg5T3KPnxbCZe/va8XYJPwDT4BAAdAYv3pmHu1rM2lbH99B94YeUxk8DxRk4BXlh5DNtP/6Hk++fKYybBJwBk5xdj8d40m4NPc+VXtj7MOm5HxhhzTk4TgKalpQHQj3JaEhoaapTXmkuXLinfWyqzMuXVVkRUusq8BDpdMYqLC/HvbTWnPT7fl4aiEp3VPFod4a3NZ80GsvKxtzafRVGJDrM3nanW+hmWr9VRpeoj52fmcTsyxpjzcpoANC8vDwDg4eFhMY+npycA/RCwreVZK9PW8goLC5Gbm2v0sisyCBSNXqWbsOtKoCsNIHXaotJXIXTaQmhLCqAtuQ9tSb7+VXwPJSX3UFL6Vau9r89LWgCEI+l3cTPPdHTQUXQErDhwyWqeQ2lZVkctCcAfOQVYceASbuQWVm8FDco/lJZVqfrI+Zl53I6MMea8au/mkHY0d+5cvPXWWw54ZwEhJGh1hcbHlG+Fckz/oyg7JlQQEBCQIKTSZ5wLFSD0R5XnngsJQOkjKYWEO4Vae1xYpVzOyreafivPtlvmFZXzoOR62FofW/M9qrgdGWPMeTlNAOrlpV9hfe/ePYt57t7VP9jcloU/cnlymeZWzdta3vTp0zF58mTl59zcXOX2/cMkhAouGn/ox3oMV/wKgx9LA9LSgFIfVFZ9dXCgt1uVz31YGvnXsZoe6GVbnSsq50HJ9bC1Prbme1RxOzLGmPNymlvwjRs3BgCkp6dbzCOnyXmtadSokfL9lStXHqg8jUYDb29vo5c9CCH0T/1RaUq/yi8XSJL8UitPAxJCeuBnnncI90f9GhSESgIY0bmx1Twdwv0R7OMGS1cuoF81PaJzY9T31lR3FZXyO4T7V6o+cn5mHrcjY4w5L6cJQNu1awcAyMzMtLgo6MiRIwCgbFBvjbe3t/KEI/m8BynvUaGSBGYPsH3ro4dtbNdwuKqtd2OVJDCrv77O5YMV+edZ/VvCVS1h9oBW1Vo/w/LlfSltrQ/vY2kdtyNjjDkvpwlAQ0JCEBMTAwBYvXq1SXpycjLS09Oh0WjQr18/m8ocOHCgxfLu3r2LzZs3AwCeeeaZqla7VurbOhifDo+Cbx37PPLSXPggCWB8N9v3Ae3bOhifDI9CfR/j0dv6Pm74ZHiUsl+ktWvzq+OC8d3CEexj+whw+fIrWx9mHbcjY4w5J6fZiB6w/CjOzMxMPPHEE2YfxblhwwZMnz4dDRs2xM6dO43KM3wU52effYaxY8cC0D+Kc8yYMVixYkWNfhSno2l1hF9SM3Hg90wAhI7hAQCAA79nIiX9Di7dzkNeoRYqlUBBkRZFWvlJSBLcXSV5RipUKhVUEqGwWAffOq4Y0LYhXCUJV3Puo5F/HeUW+4oDl3A5K185VtHIp6U685OQah9uR8YYc7xa+SQk2YQJE7Bw4UK4uLigV69e8PDwwM6dO5GdnY3Y2FgkJSXB3d1dyb9s2TKMGTMGjRo1Mtr7U7Z27VokJCRAq9WiY8eOaNy4MQ4fPozU1FQEBQUhOTlZuVVvq0clAGWMMcYYk9XKJyHJFixYgG+++QadO3fG/v37sXXrVoSEhGDevHnYtWuXUfBpiyFDhuDgwYN45plnkJqaig0bNkCr1eKll17CiRMnKh18MsYYY4wx65xuBNQZ8AgoY4wxxh41tXoElDHGGGOMOTcOQBljjDHGmF1xAMoYY4wxxuyKA1DGGGOMMWZXHIAyxhhjjDG74gCUMcYYY4zZFQegjDHGGGPMrtSOrkBtJG+tmpub6+CaMMYYY4zZhxz32LLFPAegD0FeXh4AIDQ01ME1YYwxxhizr7y8PPj4+FjNw09Cegh0Oh2uX78OLy8vCCEe2vvk5uYiNDQU6enp/MSlasJtWv24Tasft2n14zatftym1a+mtykRIS8vDw0aNIAkWZ/lySOgD4EkSQgJCbHb+3l7e9fIjujMuE2rH7dp9eM2rX7cptWP27T61eQ2rWjkU8aLkBhjjDHGmF1xAMoYY4wxxuyKA1AnptFoMGvWLGg0GkdXpdbgNq1+3KbVj9u0+nGbVj9u0+pXm9qUFyExxhhjjDG74hFQxhhjjDFmVxyAMsYYY4wxu+IA1AmtXbsWPXr0gJ+fHzw8PNCmTRv85z//QXFxsaOr5pRGjx4NIYTVV0FBgaOrWaP89ttvWLRoEUaPHo3IyEio1WoIITBnzpwKz92xYwf69euHunXrwt3dHc2bN8eMGTNw9+5dO9S85qpKm86ePbvCvvvrr7/a8SpqluLiYuzcuROvv/46YmJi4OvrCxcXF9SvXx8DBgzAli1brJ7PfdVUVduU+6p1q1atwsiRI9GmTRsEBgbCxcUFPj4+6NChA+bOnWu1zzlrP+V9QJ3MxIkTsWDBAqjVavTs2ROenp7YtWsX3njjDWzevBmJiYlwd3d3dDWdUmxsLCIiIsymqVQqO9emZvvkk0+wYMGCSp/34YcfYvLkyRBCoGvXrggKCsK+ffvwzjvvYP369UhOTkbdunUfQo1rvqq2KQC0adMGbdu2NZtm6558tdGePXvQp08fAED9+vURFxcHDw8PnD17Fps3b8bmzZsxbtw4fPrppyYPDeG+at6DtCnAfdWSTz75BPv370eLFi0QFRUFf39/3Lx5EwcOHMDhw4exZMkS7NmzBw0aNDA6z6n7KTGnsWHDBgJAnp6edPToUeX47du3KTIykgDQlClTHFhD5zRq1CgCQEuXLnV0VZzG559/Tq+99hqtWrWKzp07RyNGjCAA9O9//9viOceOHSMhBKlUKtq6daty/N69e9SrVy8CQIMGDbJH9WukqrTprFmzCADNmjXLfhV1Ijt37qRBgwbR3r17TdLWrFlDKpWKANDy5cuN0rivWlbVNuW+at0vv/xCmZmZJsczMjIoLi6OANDf/vY3ozRn76ccgDqRmJgYAkBz5swxSdu3bx8BII1GQ9nZ2Q6onfPiAPTByW1oLVgaMmQIAaDnn3/eJO3SpUskSRIBoHPnzj3MqjoNW9qUP9QfzD/+8Q8CQL169TI6zn216iy1KffVqtu7dy8BIH9/f6Pjzt5PeQ6ok7h27RoOHz4MABg2bJhJelxcHEJDQ1FYWIitW7fau3qMWVVUVKTMDTPXfxs1aoTY2FgAwIYNG+xaN/boateuHQAgPT1dOcZ99cGYa1P2YNRq/WxJw70/a0M/5TmgTiIlJQUA4O/vj/DwcLN5oqOjkZ6ejpSUFCQkJNizerXCTz/9hFOnTiEvLw8BAQHo0KED+vXrVys2/HW08+fPIz8/H4C+n5oTHR2Nffv2KX2d2e7YsWOYNm0asrKy4OPjg3bt2qF///7w8vJydNVqtAsXLgAAgoODlWPcVx+MuTY1xH21cvLy8jB79mwAwIABA5TjtaGfcgDqJNLS0gAAYWFhFvOEhoYa5WWV89VXX5kcCw4OxpIlS9C3b18H1Kj2kPukr6+vxQ8a7r9VJy/+MOTj44OFCxdi5MiRDqpVzXbjxg0sW7YMADBo0CDlOPfVqrPUpoa4r1qXmJiI1atXQ6fTKYuQ8vLy0LdvX8yfP1/JVxv6Kd+CdxJ5eXkAAA8PD4t5PD09AQC5ubl2qVNt0aZNGyxYsACnT59Gbm4ubt68icTERHTp0gV//PEHBgwYgN27dzu6mk6N++/D0aRJE7zzzjtISUlBVlYWsrKykJycjKeffho5OTkYNWoUVq1a5ehq1jglJSUYPnw4cnJyEBkZifHjxytp3FerxlqbAtxXbXX27FksX74cK1asQGJiIvLy8jBs2DAsW7bMaJeA2tBPOQBlj7xJkybh1VdfRatWreDl5YXAwED06dMHycnJiI+PR3FxMSZOnOjoajJmYsSIEZg+fTratm0LPz8/+Pn5ITY2Fps3b8Yrr7wCQN+/i4qKHFzTmuWf//wndu7ciYCAAKxbtw6urq6OrpLTq6hNua/aZuLEiSAiFBUV4eLFi3j//fexbds2tGzZEnv37nV09aoVB6BOQh5iv3fvnsU88qaz3t7edqlTbSeEwFtvvQUAOHHiBE+qfwDcf+1v9uzZUKlUuH37Ng4ePOjo6tQYEyZMwJdffgk/Pz8kJSXhT3/6k1E699XKq6hNK8J91ZSLiwuaNGmCyZMnY9u2bbhz5w6GDx+O+/fvA6gd/ZQDUCfRuHFjANZXFsppcl724Fq0aKF8f/XqVQfWxLnJfTI7O1u5dVQe99/q5e/vj8DAQADcd2VTpkzBwoUL4evri8TERGXFtiHuq5VjS5tWhPuqdR07dkTLli2Rnp6OI0eOAKgd/ZQDUCch/1FnZmZanFAsd8yoqCi71au2y8zMVL7nVZpV16xZM9SpUwdAWT8tj/tv9dJqtcjJyQHAfRcApk6dig8++AA+Pj5ITEy0uHKY+6rtbG3TinBfrZg81/PWrVsAakc/5QDUSYSEhCAmJgYAsHr1apP05ORkpKenQ6PRoF+/fvauXq21Zs0aAPpbGM2aNXNwbZyXq6srnnrqKQDm++/ly5exf/9+AMDAgQPtWrfaatOmTcjPz4cQosqBQW0xbdo0vPvuu/Dx8UFSUpLy/1JzuK/apjJtWhHuq9ZlZGTgxIkTAKBMb6gV/dTRO+Ez21l6FGdGRgY/irOKUlJS6Pvvv6fi4mKj41qtlr744gtyc3MjADRz5kwH1dA52PLUnqNHjyqPjdu2bZty3FkeG2dvFbXp5cuXacWKFXT//n2TtA0bNpC/vz8BoOHDhz/sqtZoM2bMIADk6+tLhw4dsukc7qvWVbZNua9ad+bMGVq5cqXZ9vntt9+oR48eBIA6depklObs/VQQETkk8mVVMmHCBCxcuBAuLi7o1asXPDw8sHPnTmRnZyM2NhZJSUlwd3d3dDWdxsaNGzFw4ED4+fkhKioKQUFByM7OxunTp3HlyhUAQEJCAr766ivlaRRMv5n0iy++qPz8+++/IyMjAyEhIWjYsKFyfMOGDUYbUn/44YeYPHkyhBDo3r07AgMDsW/fPvzxxx9o1qwZkpOTUbduXbteS01R2TY9fvw42rVrB09PT7Rr1w4NGzbE/fv3cfbsWWUz8CeeeAKbNm1StmN51GzatAnx8fEA9Jtyt2rVymy+unXr4r333jM6xn3VvKq0KfdV63bv3o0nnngCHh4eaNeuHUJCQlBUVIQrV67g2LFj0Ol0aNGiBbZv326yF7hT91NHR8Cs8r755hvq1q0beXt7k7u7O7Vu3ZrmzZtHhYWFjq6a00lNTaWJEydSXFwcNWzYkNzc3Eij0VBYWBgNHjyYtmzZ4ugq1kg//fQTAajwlZaWZnJuUlIS9e3bl/z9/Umj0VDTpk1p+vTplJuba/8LqUEq26YZGRn0xhtvUM+ePSksLIw8PDzIxcWFgoOD6emnn6bVq1eTVqt17EU52NKlS21q00aNGpk9n/uqqaq0KfdV627dukVvv/029e3blxo3bkweHh7k6upK9evXpz59+tAnn3xCBQUFFs931n7KI6CMMcYYY8yueBESY4wxxhizKw5AGWOMMcaYXXEAyhhjjDHG7IoDUMYYY4wxZlccgDLGGGOMMbviAJQxxhhjjNkVB6CMMcYYY8yuOABljDHGGGN2xQEoY4wxxhizKw5AGWOMMcaYXXEAyhhjjDHG7IoDUMZYrZKSkgKVSoVXXnnFYp7i4mIsX74cTz31FBo0aACNRgMfHx9ERESgb9++mD9/PtLT043OGTp0KIQQmDx5stX3/+CDDyCEQLdu3QAAp06dghACderUgU6nq7D+p0+fhlqthiRJ2L9/f6Wuq7Lu3r0LtVoNb29vaLVah5dTW6Snp+Pll19GkyZNoNFoULduXTz55JPYsmWLxXNGjx4NIYTVV0FBgcl5Fy9exIABA+Dl5QVvb28MHDgQaWlpFt9nypQpkCQJycnJZtNzcnIQEBCAjh07goiqnIexChFjjNUisbGx5OHhQTdv3jSbfv78eWrdujUBoDp16lBsbCwNHTqUBg4cSM2aNSMABICSkpKMzmvSpAkBoFWrVll9/2HDhhEAmjhxIhERFRUVkYuLCwGg8+fPV1j/3r17EwAaPnx4pa6rKnbs2EEAqE+fPg+lnLy8PFKpVOTp6UklJSUP9B7O4tChQ+Tv708AKDg4mOLj4ykuLk7pA2+++abZ80aNGkUAKDY2lkaNGmX2VVRUZHROfn4+hYaGEgDq2bMnPfHEEwSAQkND6c6dOybvcfToUVKpVDR+/Hir1/Duu+8SAFq2bNkD5WHMGg5AGWO1xtq1awkAvf7662bTs7KyqGHDhgSAJk2aRJmZmSZ5fv/9d5o6dSplZ2crx7Kzs0kIQQDot99+s1oHOYhdsWKFciwyMpIA0HfffWf13O+//54AkKenJ12/ft3m66qq7OxsOnfuHN24ceOhlLNz504lOHoU3L9/XwkIhw4dSvn5+UraoUOHKCAggABQYmKiyblyALp06VKb3++///0vAaDZs2crx2bOnEkA6N133zXKW1JSQlFRURQcHGzUty1dR7169Sg4OJgKCgqqnIcxazgAZYzVGl26dCEA9Ouvv5pN/5//+R8CQP369atUuT/99BMBIG9vb9LpdBbz5ebmKoHq2bNnlePyqOj//u//Wjy3qKiImjZtSgBo3rx5lbqummrOnDkEgGbMmOHoqtjF6tWrCQD5+vqaHYFcsGABAaC4uDiTtKoEoMOHDycAdO3aNeXY1atXCQANHDjQKO/7779PAGjdunU2lT1hwgQCQMuXL3+gPIxZwnNAGbODOXPmQAiBTp06mU2fNm0ahBBo27Yt7ty5Y+fa6cnzzABg5cqV6NChAzw9PVGvXj0kJCTgypUrAAAiwkcffYS2bdvCw8MDdevWxejRo3Hr1i2TMg8dOoSpU6eiQ4cOqF+/PlxdXREUFIT+/ftjx44dZuvxyiuvQAiBrl27oqSkxCR9xowZEEIgKirKaE5cSkoK9u/fj06dOqFZs2Zmy05KSgIAdO3atVJtc+zYMQBAVFSU0kbmpKSkgIjg4eFhVIfHH38cgH5+pyULFy7EhQsX0LRpU0yaNMmoTGvXtXHjRqU9LMnLy0NwcDBcXFxw9uxZAPrfo6+vLyRJQk5OjlH+zMxM/Otf/0JUVBS8vb3h6uqK4OBgdOnSBTNmzDBqd3PlrFixAkIIzJw5EwDw9ttvG81l3Lhxo8W6WtOgQQMIIXDhwgXMnTsX7du3h7e3N9zc3BAdHV3lcqvL4cOHAQDt27eHr6+vSXrv3r0BAD///DNu3LjxwO+XmZkJAPD391eOBQQEANDPy5VdvnwZb775JuLj4zFo0CCbyh49ejQA4OOPP36gPIxZ5Nj4l7FHQ35+PoWEhJgdgXjnnXcIADVr1qxa5/dVFkrnPk6bNo3UajX17NmTBg8eTGFhYcq8sqysLHr22WfJzc2N+vbtSwMHDqTAwEACQI8//jgVFhYaldmrVy+SJIkiIyOpX79+NGTIEIqKilLe67///a9JPQoLCyk6OpoA0BtvvGGUtm3bNhJCkLe3N124cMEo7c033yQANHPmTIvXKM/9/Mtf/lKpOYnPPfccAaApU6ZYzffBBx+YHeHasmULAaCWLVuaPe/WrVvk4+NDAOiHH34wSqvoulJTUwkAubm5WbymN954gwDQK6+8ohy7cOECAaCIiAijvKdPn6agoCACQGFhYdS/f3969tlnKTY2lry8vMjHx8doFNhcOevWraNRo0aRm5ubcjvacC6j4YidreSRPU9PT2rfvj1JkkRxcXE0ePBgCg8PJwAkhKANGzZUuuzqMnbsWAJAzz77rNn0mzdvKn1/y5YtRmnyCOjIkSNp8uTJNHbsWJo2bRp99913Fm9xv/DCCwSAjh07phw7duwYAaDRo0crx/r160deXl6Unp5eqeupV68eATCaDlKVPIyZwwEoY3ayfPlyJdAsLi4mIqL/+7//IwAUHh5OV69erbAM+UOqsq+ffvqpwrLlvAEBAXT8+HHleH5+PsXFxREAioyMpCZNmtClS5eU9Nu3b1NERAQBoJUrVxqVuXXrVrMfTPv37ydvb29ycXExe92pqank6+tLQgjaunUrERGlp6dT3bp1CQB9++23JufIdSz/wW7oxRdfVK4zPDycpk6dSomJiZSXl2e1bVq0aEEA6Ouvv7aaTw5UJ0yYYHQ8PT2dAJCLi4vJQhIiovHjx1ucGmDLdcnBq7lb9KmpqaTRaCggIICysrKU42vWrDEbLHXu3JkA0CeffGIy3SA/P592795tdMxSOTk5Oco/FqxNW7DVxo0bld9dRESEUR8tKiqiwYMHEwBq06ZNhWU9rL+jGTNmEACKjo42m37gwAGlrI8++sjmOgUHB9O2bdtMytu+fTsBoB49etCVK1foypUr1KNHD6P5xl9//bXZ97PFgAEDTOYzVyUPY+ZwAMqYneh0OmX079NPP6WVK1eSEIIaNmxIqampNpXx+eefW1wha+117ty5CsuWP+w+/vhjk7TvvvvO4sgNUdn8sjFjxth0HURE06dPt/h+RGUBR0BAAKWmplJsbCwBoJdfftlsfg8PDwJgtS2zs7MpPj7e5APexcWFnnzySdq0aZPJOXfv3iVJkgioeBV78+bNCQB99dVXJml+fn4EgE6ePGl0/OTJk6RSqcjV1dVs+bZcV7du3QgArV271iRt0KBBZgOQqVOnEgCaP3++0bUC+rmutjJXDhHRrl27lOCoOsiLa7y8vCgtLc0kXR6JFULQvXv3rJb1sP6O5EVXQgijUUmZYZD5zjvvGKV98MEHtGDBAjp9+jTl5ubSzZs3KTExUZn/6+LiYjYAHjp0qEl//tvf/kZERHfu3KGgoCDq1KkTabVa5ZySkhK6f/++1WshKvsbnTRp0gPlYcwcDkAZsyN5MYufnx+p1WqqV6+eTcGhPcgfXuY+3E+dOkUASK1WK6O3hjZt2kQA6MknnzRJy8jIoOXLl9Prr79Ozz//vPJhLn+wvvrqqxbrNHnyZAKgjPBFR0eb3OYnKgucAFBOTk6F13r+/HmaN28e9e7dm+rUqWP04f3aa68Z5U1OTlbqUNECJDlQPXPmjEm6HCSWH0Xt2bMnAaCpU6dW+bpeeeUVAkCzZs0yOr5nzx4CQK1btza5Pd+rVy8CQDt27FCOFRcXK+0xbtw4unz5ssX3tFYOUdk2PRVNW7BV3759zV6jTKvVklqtJgB069atannPqpB/zyEhIbRp0ybKzs6m33//naZMmUJCCGU7pvILzSzR6XTKP5rMje7qdDpau3YtvfTSS/Tyyy/T+vXrlX76/PPPk4uLC506dYqI9KPhTz31lFKHpk2b0po1ayy+93vvvUcAaNiwYQ+UhzFzOABlzM7kwMvLy4tSUlIcXR2FHOgYjpTI0tLSCNDPAzVHDqy7d+9udPyzzz5TRvAsvQznqpVXXFxMLVu2JADk4eFhcRTw2rVrSnmVvd1bWFhIP/zwg/I+Qgi6ePGikr5o0SKbRvJ2796t1NNcG7700ksEGK8I37Bhg3KL1dw0AFuv68svvyQA9MwzzyjHtFottWvXzmxwSFQ2Imt4W56IaMWKFUa/s8jISJo2bZrJyG1F5cgjcxVNW7CVPP3C8HdjKD8/nwCQSqUy2/72cvPmTWW0vvxr4sSJyvzmzz77zOYyjx8/rpRx5coVm87Zs2cPCSGU/pabm0uNGjUiX19fWrRoEX333XdKPc2N/BPp/34B/ZxpS2zJw5g5ajDG7Gbp0qU4cOAAAKCwsBDe3t6VOv+LL76w+AQTa6ZNm4bmzZvblFeSLG+OYS2tvKNHj2L8+PFQqVSYP38++vfvj7CwMNSpUwdCCHz22WcYP3681SepHDx4EOfPnwcA3Lt3D6dOnUJ4eLhJPsMVx3l5eZVqV1dXVzz11FOoW7cuOnXqBCLCqVOn0KRJEwDAyZMnAQAtWrSwWs6ePXsAALGxsWbbqfxK+KKiIrz++usAgPnz58PT07PK19W2bVsA+qcuyZYuXYqUlBTEx8ejV69eRvnT0tJw584dhIeHw8/Pzyht+PDh+Mtf/oKNGzfixx9/RFJSEubNm4d58+Zh0qRJ+OCDD2wq5+jRowD0K8If1KVLl5CRkQF/f3/l91Ke/Hf1+OOPV9hPH+bfUWBgIPbt24cdO3Zg165dyMzMRFBQEOLj4xEdHY0GDRoAACIjI21+X8O+d/XqVYSGhlrNX1hYiPHjx6Np06bKTgSrV6/G5cuX8dlnn2Hs2LEAgG7duiEsLAxz585F//79TcqRdzUo/7utbB7GzHJ0BMzYo+Lbb78llUpFAQEByujQ4MGDK1WGPRYhmSOPgDZq1MhsurkRUHnltaW5Ya+99hoBoFGjRplNv337trJzwJgxY0gIQX5+fkYLoAzZMlfSGsPRRsOnIMm3PydPnmzxXJ1Op8z/tLTYY//+/QSAmjRpQkRlt6i7dOlidXTTlusqKCggtVpNkiRRfn4+5ebmUv369Umj0ZgdMZQ3trel/xUWFtKHH36o7G9quILdUjnyxv0VTVuwlfw+jRs3tphn5MiRBIDmzJlTYXkP8+/ImosXLxKgn9dsbiqJJdevX1fqIN9Ot2bWrFkm9f3nP/9JAOj06dNGedu3b0/u7u5my5k2bZrVv2Fb8zBmDu8DypgdbN26Fc899xw8PDzw448/4tNPP4W/vz/WrVtn9LzviixbtgyknzpTqVePHj0e3sVZkJWVBQBo1KiRSVpBQQHWr19v8VwiwogRI3D16lWMHDkSS5YswZQpU3Dnzh0MHToUxcXFJufI+2DK+1yWL68i8h6SXl5e6NKli3I8MDAQAHD8+HGL5y5ZsgS//vor/Pz8MGLECLN5IiMjIYRAWloaLl26hH//+9+QJAkLFy60ureoteuSaTQaNG/eHDqdDmfPnsU777yDGzduYOLEiWZHDOXRSWt7h8pcXV0xceJEZa9Jw2e9WyrnzJkzICI8/vjjVq/NVkeOHAEAXL9+HYWFhSbpR48exapVqxAQEICXX365wvIc9Xf03nvvAQDGjRsHV1dXm89bs2YNAMDb29viHreyX3/9FXPnzsU//vEPo/rKv4d79+4Z5b93757F35E8Wm9tFNuWPIyZZZcwl7FH2O7du8nd3Z3c3d1pz549ynF58n7Hjh0dWLsyqOYRUHlPzHbt2lFubq5y/P79+zRmzBjl/cyNgL799tsE6PfNvHv3LhHp54PKWwTJz1k3JO+Xae6pO9OnT6fx48ebjP4Q6ecOLlq0SNmzsvyq/K1btyp1XbRokdH8wuLiYlq8eLFybkVb0cj7VXbs2JEA0PPPP281f0XXZUh+Ks6bb75JGo2G6tevb9Tuhv785z8TAPrxxx+VY0lJSbR+/XqTPSdLSkqUJxqV317IXDlEZfNh27dvb7XOS5cutdqvZPJCLQA0ffp0o7TDhw9TgwYNSAhh81N+HqYzZ86YLBgrLi6mt99+m4QQFBERofRpWUpKCn3//fcmC/y0Wi198cUXSv+ytsctkX4kvmvXrhQUFGQyJ/fzzz8nADR27FjlmLxIzdyTmYhIeXSotT0+bcnDmDkcgDL2EB08eJC8vLzI1dXVZB+/goICatSoUbUu1HgQ1R2A3rlzR7m+gIAA+utf/0qDBg2iwMBA8vLyUh7jVz4A3bNnD6lUKqpTp47JavLLly+Tv78/AaCNGzcapckbcHfo0MGkfl27dlWuLzw8nAYMGEAJCQnUvXt3pTw3NzdasGCB2euT9+kEQA0aNKAePXpQ9+7dlQU4rq6utHDhQrPnGjLcAsrX19em1drWrsuQfEtfpVIRAFqyZInFvHLQkJGRoRwbN24cAfpFVF27dqWEhATq378/NWzYkAD9ArTy+4yaK4dI/7uX2yYmJoZGjBhBo0aNMrmFLS+eKr8ZviGdTke+vr4EQJnWERkZSUOHDqXOnTuTEIIkSbKp/e1hwoQJ5ObmRrGxsfTss89SfHy8srF/RESE2V0m5MVofn5+1KtXLxo2bBj169dPeQgEAEpISDC7A4WhxYsXEwCzK9vv3r2r7NcbExND8fHx5O7uTkII2r59u0l+W/qdrX2TMXM4AGXsITl58iT5+/uTSqUyuz8jEdFXX32lzG2z9LQTe6nuAJRIP4/zxRdfpCZNmpBGo6EGDRrQ8OHD6cKFC8rol2EAeuvWLWrQoAEBlp+JvWnTJmU+aPkPc3mHAcPnsBMRnTt3jhYsWEADBgygli1bkr+/P6nVavL396dOnTrRzJkzK9xyaP369fTkk09SQEAAqVQq8vb2prZt29LkyZMr3B9UJu9lCZh/CpQllq7LUFJSklJ2dHS0xbmXly5dIkD/lCNDO3fupFdffZWio6MpKCiI1Go1eXl5UUxMDM2ZM8dkVM9SObKff/6ZevXqpQSpAGjv3r1GeeQHA8ydO9fidZ0/f54A0GOPPUZERAsXLqTmzZuTRqOhevXq0ZAhQ+jw4cMWz7e3H3/8keLj4yk0NJQ0Gg15e3tTTEwM/ec//6H8/Hyz56SmptLEiRMpLi6OGjZsSG5ubqTRaCgsLIwGDx5s9SEEshs3bpCvr6/ZhxnIrl69SgkJCeTn50eurq4UHR1t8uQt2auvvkqA9ee825KHMUsEkQ2ToxhjzAmsW7cOQ4YMweTJk/H+++87ujrVprZeV9OmTXH//n1cuHAB7u7uZvN8/fXXGDZsGIYOHarMhWQPV0FBAUJDQ+Hi4oK0tDRoNJoq5WHMGl6ExBirNQYPHozY2FgsXrwYN2/edHR1qk1tvK5Lly7h4sWLmD17tsXgEwAOHz4MAIiJibFX1R55ixYtQkZGBubOnWsxsLQlD2PW8AgoY6xWSUlJQXR0NF544QV89NFHjq5Otamt11WRbt26Yd++fdizZw+6devm6OrUejk5OXjssccQERGBX375xewKeVvyMFYRDkAZY4zVSDqdDj4+PsjPz0dOTo7ZzfoZY86JA1DGGGOMMWZXPAeUMcYYY4zZFQegjDHGGGPMrjgAZYwxxhhjdsUBKGOMMcYYsysOQBljjDHGmF1xAMoYY4wxxuyKA1DGGGOMMWZXHIAyxhhjjDG74gCUMcYYY4zZFQegjDHGGGPMrjgAZYwxxhhjdvX/bSm5es1As7gAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "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_162796/649975342.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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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "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 }