{ "cells": [ { "cell_type": "markdown", "id": "078900c6-d71d-44f0-9e76-cc5ce66f0ca9", "metadata": { "id": "078900c6-d71d-44f0-9e76-cc5ce66f0ca9" }, "source": [ "# Logistic regression with uncertainties\n", "\n", "Description:\n", " * Two parameter model\n", " * To obtain confidence intervals of model values, two types of bootstrapping are performed:\n", " * stratified non-parametric bootstrapping\n", " * parametric bootstrapping of parameters around highest peak obtained via non-parametric bootstrapping or global optimimum" ] }, { "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_sb\"\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: 63533\n" ] }, { "data": { "image/png": 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OKOO51Yc5eLKRytEFsdcvIkmR8JA1YcIEAGpqasJ+3ul0smnTJhYvXtzl8ddeew2AJUuWhH1dYBoxdMG8iITXceokdS+/RPO6tcH1Vpljx1K06lryFi3B6KVj3OHy8pNntrPveAMfuHgiU8YUDmLVKciRDReuxFy6AnP3Voy1b2NUn4ANf4eN78HsBf47F0eG/8dhpKaMKWBEfhYvrTnK5z44N07Fi8hgS3jICtwZuHXr1l6f841vfINf//rXlJaWArBx40YeffRR7HY7d911V4/n+3w+tm3bhs1mY+5c/QIS6U374UOc++uLtG7ZHHwse8Ysiq65luyZs/qc8mtuc/GDP23j5JlWbr2skvFl2n8nyGqFORf4pxKP7Md4702Mw1X+6cQdmzCnzsa85CoYNS6qyxuGwZIZI3l53TFOnGlhTGkK7jsmIv1KeMiqrKxkwoQJHDx4kLq6OoqLu7bTS0pK6OjoYNWqVSxbtozW1lY2bNiAz+fjG9/4BlOnTu1xzb1799Lc3MyFF17Y695bIsOZc38V5158nrZdO/0PGAa5CxZSfN0NZE3ov/t7tsHJ957aRlObi39cOYXy4vS/gzAhDAMmTsWcOBXz9HGM996EPdsxqnZiVO3EnDQV8+KrYXzlgC89c0Ix7+2s5qU1R7nvplkJKF5EEm1QjtX54Ac/yEMPPcSrr77Khz/84S6fy87O5ne/+x3/9V//xerVq/F6vSxatIhPfvKTLF++POz1Xn31VQBuu+22hNcuki5M06Rh23aO/P5J2vbt9T9osZC/dDlF115P5qhREV3nSHUTP3hqGxaLwT9dOYXivKwEVj2EVIzF/OBH/ecnvvcG7NiMcagK41AV5vhKzEuuhglTIt7+wWoxWDJ9JG9uPsFNF02gYkT8FteLyOAYlGN1WltbWblyJeXl5Tz33HMxXcvj8bBixQoKCgp44YUXeiyYj5WO1UkejV10TNOkbddO6l58HueB/f4HrVYKLrqE4muvx945DR+JLVVnePT5XYwoyOKWSyeRkzU8DmC3Wg3y8hw0NzvxeuP0K7H+HMb7b8K29Ridd1ebYyb4w1bl9IjClsfr4xcv7mbm+CLu+4fZ8akrzvRzGz0dqzP0DUonKycnh3vvvZcHH3yQjRs3smjRoqiv9corr3DmzBm++tWvxj1giaQT0zRp3bGNuheeD54naNjtFF56GYWrrsNeHPmdbqZp8ur64/zprQNMGVvI9cvGY7fp5ysmRSP8dyRecjW8/zfYshbjxBGMP/7cfzD1JVfDlJl9hi2b1cLyWeW8vuE4N1zYwmitzRJJK4PSyQJwuVx86EMfIiMjgyeeeCKqPXZcLhfXXnstkydP5tFHH01AlepkJZPGLjKmadK6dQvnXvgLHceOAv49roouv5zKf7yNViNjQOPn9nj5zSv7eG9nNUtnlHHpvIqhvwdWNwnpZHXX0oSx5i3Y9D6G2wWAWT4G89KrYersXsOW1+vjsZf2MGl0Pp+9JfVu9NHPbfTUyRr6BqWTBZCRkcFDDz3ELbfcwgsvvMBNN9004Gv86le/oq2tje985zsJqFAktZk+Hy1bNlH34vN0HD8O+MNV4eVXUHT1tWSNKCKjKIfW+taIr1nX1M5Pn93B8doWrl8+nlkTYt/nSXqRm4951T/AhVfA2rdhw2qM6hMYT/0Ss2wU5sVXwYy5YHTtIFqtFi6eU8FLa4+y/0SDttEQSSOD1slKF+pkJY/GLjzT56N543rqXnwB16mTABiZWRStvJLCq67GlpcPDHz89hyp42fP7wLgAxdPGhJnEEZrUDpZ3bW1YKx9Bzb8HcPl3xjWLC33h62Z8yFkOYRpmvz2tX1kZ9n56l0XpFSnUT+30VMna+gbtE6WiAyM6fHQvH4d5/76Au7qagAsDgeFK6+k6MpVYXdnj4TPNPnrmqM8+/dDjCvL44bl44fNAveUkp2LecX1sHwFrHsX1r+LcaYa49nfYr7zCubFV8LsC8BqxTAMLps3miffOsCGvbUsmVGW7OpFJAIKWSIpxud20fTeaupe+Sues2cBsOTkUHTl1RSuvBJrDOfktTjd/PyFXew6VMeyWWVcNLsCiyV1uiLDkiMHc8W1sGwF5vq/Y6x/B6PujP98xHdewbxoJcxbwvjyPCaPLuDJNw8wr7KEzIwheDi3yBCjkCWSInztThreeZv6117F29gAgDUvn6KrV1F4+RVYshwxXf9EbQs/eno7re1ubr2skkmj8uNQtcRNlgMuvRpz6aWYm97HWPsWRmM9xl//jPnuq5hLV3DF7EX88o1DvLT2CLdcOvANTkVkcClkiSSZp6mJhjdfp+GtN/G1tQH+Q5uLrrmWgosvxZKZGfPX2Hn4HD99ZicFORncdfU0CnNjv6YkSGYWXHgF5uKLMbesxVjzFkZTA8abL1D03hvcNm4+L77n5MLZFdqJXyTFKWSJJImrppr611+j6b2/Y7rdANjLyim+5lryl1/U66HNA7V2VzWPvbSHCeV53HTRBDJsmmZKC/YMWHIp5gUXYu7YhPH+3zDO1TK+ag33GevZ9sM9FH3qDjLLypNdqYj0QiFLZBCZpkn7gQPUvfYyrVu3QOfNvZkTJlJ87fXkLliIEcdNdt/feZrHX9zDrInFrFoyDqvWX6Ufqw3mL8Wcuxhz3w6M9/+G7dQxJp7cwZGvfoW8hQspumoVWZOnpNRdhyKikCUyKEyPh+ZNG2h44/Xg7uwAOXPnUXT1NTimTY/7X5Brd1fz+It7mFM5glWLx+ov4HRnscCMeZjT52IeO0TtSy9Sfu4ILZs30bJ5E5kTJlJ01dXkXbA4bl1QEYmNfhJFEsjT1ETjO2/R8PZbwcXshs1G3vILKbpqFZmjRifk6249cJbHXtjt72ApYA0thgHjK8n7+Kf53TPvc2n7fsbX7KPjyGGqf/EoZ556ksIVl1Nw6WXYCgqTXa3IsKaQJRJnpmni3F9F49t/o3nTRug8HNhaUEDhiisouHQFtoKChH39vUfreeTZnUweXcA1S8YpYA1Rjkwbiy+Zxx/+nsc9H7mJmWf30vDWm3gbGzj3l2c59+Lz5F2wiMLLV2oqUSRJFLJE4sTb0kLTujU0vvN2cGd2gKyJkyhceSV5i5YkfBrnwIkGvvfkVkaV5HDDhRO0B9YQN2VMAXMrR/C71af4+kdXMuma62jetJGGv71B+8EDNK9fR/P6dWRUjKLg0svIX35R1JvYisjA6VidbnSsTvKk49iZPh9te/fQtPpdWjZvwvR4AP+ZgnlLl1G44gqyxk8YlFpO17XxwO82k5dt57YVlWTadRdhpJJyrE6cuD0+fvvaPuw2C1//yOLgJqXtx47S8Lc3aV6/FtPlP5DasNnIXbiI/IsuJnvGzLjcZJGOP7epQsfqDH0KWd0oZCVPOo1dx6lTNK99n6a1a/DUnQs+njl2HPmXXEr+sguxZg/eHkYnzrTw4B+3kJeTwe0rKrVNwwClc8gCONvo5HevVTF7UjGfunkOlpCpQa/TSfPaNTS++1bwYHEAW1ER+csvIn/5hWRUjIr6a6fTz22qUcga+hSyulHISp5UHzv3uXO0bNpA09o1dBw7Gnzc4nCQt2w5BRdfOmhdq1AHTjTygz9tIy/Hzj//wxy8bk9aBoVkSveQBXDgZCPPvnuIa5eN54Mreu4Gb5omHUcO0/j+aprXrcPX1hr8XObYceQtXUbekqXYi0cM6Oum+s9tKlPIGvq0JkukD+66c7Rs2kjzxg20Hzxw/hNWKzlz5pK/bDk58+ZjsWckpb5N+2r5+Qu7KS/O5oMrKsnOstPs9iSlFkmuyaMLuGz+KP669ih52XZWLRnX5fOGYZA1cRJZEydRevuHad22lab3V9O6aycdx4/RcfwYZ//8FFmTp5C38AJyF16AvaQ0SX8akaFBIUskhGmauE6coGXrZlq2bO7SscIwcEyZSt7iJeQtWoI1L3n/YvSZJs+vPszz7x1h+rhCrls2XgcGC0tmlOHs8PLk3w6QabeyYkH4LUIsdjt5ixaTt2gx3uZmmjdvpHndWpz7q2g/sJ/2A/s589QTZI4bT+6CheTMm0/mWN2pKjJQClky7HmdTpx7d9O6YwetO3d0WWOFYeCYPIXcxUvIW7gIW2Fh0uoMaG5z8fMXdrP7cB2XzK1g2cwy/eUnQZfOq8Dj9fGbV/fh9vq4atHYPp9vzcuj8LLLKbzsctz19bRs2UTLpo04q/bRcewoHceOcu4vz2IrKiJn7jxy5szDMW06VkdsB5aLDAcKWTLsmB4PzkMHce7dQ9vePTgPHgjuZQVg2O1kz5pN7vyF5Mybhy0vP4nVdrX3aD2PvrALt9vHB1dUMrEidWqT1GAYBlcsHI3FYvDHN/bj7PBw44UTIgri9qIiiq64kqIrrsTT1ETr1i20bN9K2+5deOrraXznbRrfeRssFrImVZIzazZ5s2dRsGB24v9gImlIC9+70cL35EnU2Pna22k/fAjn/iqc+/fjPLg/eEt7gH1kGTmz55AzZy6OqdOwZGbG7evHg8fr4/n3jvDS+0cYW5bL9cvGk5fddR3YUFi8nSxDcexM02TNrhpW7zjNFQtH809XTo163zSf24Vz315atm2jbddO3LU1XT5vycggq7ISx5RpOKZMJWviRCxZ6nT1Rwvfhz51smRIMb1eXKdO0X7kEO2HD9N++BAdJ0+Ar+svMGteHtnTZ+CYPpPs6TPIKCtLUsX9q6lv4xcv7ObI6SYumuOfHtQmo9IfwzC4cHY5OVk2Xtt4nHNN7dx30yyyMgb+a99izyBn9lxyZs8FwH32DK27d9G2exfOfXvxNjfTtmcPbXv2BL44GaPH4JhUSdakSWSOG0/mqNE6U1GGHXWyulEnK3kGOnbe5mY6Tp/CdeI47ceP0XH8OK4Tx4Mbgna59ogROCZPxTFlCo4pU8kYNTrl1zH5TJN3tpzkyb8dIDvLxg3LJzCqJKfX5w/FbsxgGepjd+hUI8+/d4SRRQ4+c8scRhbFbw83q9Ugq7WB0+u30Lp3D84DB7qua+xk2GxkjBlL1rhxZIweQ+boMWSOGTusd6BXJ2voU8jqRiErecKNnenx4D57FldNNe6aGlw11biqT+M6dQpvc1PY61iyssicMJGsCRODt6zbi4sH848SsxNnWvjtq/vYf6KReZUjuHzBaDL62cF9qAeFRBoOY3emwclzqw/T7vLyseumc8G0kXG5brifW09DPc6DB2k/dJD2o0foOHoEn9MZ9vXW/HwyyiuCb/ayMuylI7GXliRta5TBopA19ClkdaOQNXhM08TX0oKnoQF3fR1mYz3WtmaaT1bjOnMG99mzeBrqoY9vUVtJCZmjRpM5dlzwzV5aGpfjQpKhtsHJS+8fYfWO0xTlZnL14rGMK4vsl+ZwCAqJMlzGrt3l4eV1x9h/opFls8r40BVTKMiJLchE8jvPNE3cZ87QcfQIHSeO03HyBK4TJ3CfPdP7hQ0DW2ER9pISbCNGYB9Rgq14BPbiYmyFhdgKi7Dk5qZ8R7ovCllDn0JWNwpZ0TFNE9Plwudsw9vWhq+1FW9rK97WFrwtLXibmzvfmvA0NeFtasTT2Njlrr7eGJmZZIwsw15W1vm+nMzRo8kor8CSlTUIf7rE8nh97Dh0jvd2VLNl/xkcGTaWzypj/uQSrNbIw+JwCQqJMJzGzjRNdh2p42+bT2KasGrJWC5fOCbqsBXL7zxfuxNXdTWu06dx1ZzGdfo07toaXLVnMDva+329YbNhzc/Hml+ALT/f/3FuHta8PKw5uVhzc7Hm5GLJzsaak43FkY2RkZEywUwha+hTyOomnUOWaZrg82H6fP73Xm/new+m1+v/b0/nxx6v/3G3G9Pj6XxzY7rd+NxuTJcb09XR+XEHPpcLs6MDX0cHvg4XZkc7vnYnvvZ2fM52vM62iAJTOJbcXOxFxdhHjCC3YiS+nHwsxSOwl5RiLynFmpeXMr8UY2WaJk2tLk6ebeVIdTNVxxvYe6wel9vHyEIH8yaPYPbEEdhtA+/EDaegEG/DceycHR7W7Kpm64FzmKbJvMklLJxawvRxRRTnR/6Pl0T8zjNNE29LM+7aWtznzuI5dw533Tk8587hqa/H01CPtznK39VWKxaHA2uWA4sjC0uWAyMzE0tmJpbMLP/HGRkYGRlYMjIxMuwYdjsWu/+9YbNj2Gz+N7sdw2rDsFn9i/qtVozAm8Ua/G8sFn933WLp8rtMIWvoU8jqxuuN/hvdNMF0u/C1tdJlWCMd4V7+V5iBC/T4tBl8LJUiiGkYYBjB9xiW8+8tgfcWMCyYFoPQ6i2Ggc/00WP4TP84mGZgmM5/HBif868x+5phDHPdnq8xAAyj8/35Cg3D8P9R6Hzf+TGdH3e5fqA+08Rnmvh8/vdmyP8zq9WCzWpgt1qwDKBrFY4BWCwGPp8Z8bec+A3nsTNNE5fbh9vjxevz/+kthoHVamC1GFgtls4fWwNL4Pu/82cj8HFg7Aa58PP/oPT5wAz8A7Pz8cA/Ok0TTP/jKaXzl4stJxvDEc8bEdJzqcRQpZAVgbONzmE19SeDY6h052ToGKy/Duw2CyMKtI+WDH0KWSIiIiIJoL6iiIiISAIoZImIiIgkgEKWiIiISAIoZImIiIgkgEKWiIiISAIoZImIiIgkgEKWiIiISAIoZImIiIgkgEKWiIiISAIoZImIiIgkgEKWiIiISAIoZImIiIgkgEKWiIiISALYkl1AqvF6fdTVtUb9eovFoLg4h7q6Vnw+M46VDX0au9ho/KKnsYuexi56iRi70tK8qF8b699/w0mk46xOVpxZLAaGYWCxGMkuJe1o7GKj8Yuexi56GrvoaeyGPoUsERERkQRQyBIRERFJAIUsERERkQRQyBIRERFJAIUsERERkQRQyBIRERFM08Tj9SW7jCFFIUtERESob+7g8Zf2JLuMIUUhS0RERPD6TNbtrkl2GUOKQpaIiIhIAihkiYiIiCSAQpaIiIhIAihkiYiIiCSAQpaIiIhIAihkiYiIiCSAQpaIiIhIAihkiYiIiCSAQpaIiIhIAihkiYiIiCRA2oSsRx99lLvuuqvLY3v27OHOO+9k/vz5XHHFFfzmN79JUnUiIiIiXaVFyPr973/PD37wgy6P1dfXc8899zBu3DiefvppPv3pT/PQQw/x9NNPJ6dIERERkRC2ZBfQl5qaGr7xjW+wbt06JkyY0OVzTz31FHa7nW9961vYbDYqKys5evQoP//5z7n11luTU7CIiIhIp5TuZO3atQu73c7zzz/PvHnzunxu48aNLFmyBJvtfE5ctmwZR44c4ezZs4NdqoiIyJBiejzJLiHtpXQn64orruCKK64I+7nq6mqmTp3a5bGRI0cCcPr0aUpKSqL+ujZb9NnTarV0eS+R09jFRuMXPY1d9DR20UvVsbPZLDRt2sTJR37KqHs/QcGyZckuKW2ldMjqS3t7OxkZGV0ey8zMBKCjoyPq61osBkVFOTHVBpCf74j5GsOVxi42Gr/oaeyip7GLXqqNXVFRDi31ZzA9HtxVuym6dmWyS0pbaRuysrKycLlcXR4LhKvs7Oyor+vzmTQ1tUX9eqvVQn6+g6YmJ16vL+rrDEcau9ho/KKnsYuexi56iRi7eDQJzpxtxpudD0DLqRrq61tjvuZQE+k4p23IKi8vp7a2tstjgf8uKyuL6doeT+zf7F6vLy7XGY40drHR+EVPYxc9jV30Um3sWtrcWItGAOA6eyalaks3qTURPACLFy9m06ZNeL3e4GNr165l4sSJjBgxIomViYiIpC+X24ut8+9RT10dZsjfszIwaRuybr31VlpaWvjqV7/KgQMHeOaZZ/jVr37Ffffdl+zSRERE0laH24utsBDDZgOfD099XbJLSltpG7JGjBjBY489xuHDh7n55pv5yU9+wpe+9CVuvvnmZJcmIiKSttweH4bFgq3zLn33mTNJrih9pc2arAceeKDHY3PnzuXJJ59MQjUiIiJDk6tzDZa9ZCTu6mp/yJqR5KLSVNp2skRERCR+DMP/PnCno720FADXmdreXiL9UMgSERERwJ+yPD4TgIxS/wbf7tqapFWU7hSyREREpDNigdkZsuzl/u2QFLKip5AlIiIiQT6zs5M1shwAV00NZudjMjAKWSIiItKDvaQELBZMlwtPQ0Oyy0lLClkiIiLSg2GzBRe/u6tPJ7ma9KSQJSIiIkGWwG2GQEbFKABcp08lq5y0ppAlIiIiQYYlJGSVVwDQcVqdrGgoZImIiAiBpe220JBV4Q9Z6mRFRyFLREREoPMOQkuXkDUaUMiKlkKWiIiInO9kWc9Hg8xR/jVZ3sZGvM3NSagqvSlkiYiISJA9JGRZsrKCB0V3nDqZrJLSlkKWiIiIBNlsXaNB5qjOKcOTJ5JRTlpTyBIREZGg0IXvAJljxgLQcUIha6AUskRERCSoRycrGLKOJaOctKaQJSIiIkGhC98BMsee72SZPl8ySkpbClkiIiISZO02XWgvK8fIyMB0uXDX1iSpqvSkkCUiIiJB3UOWYbGQOWYMAO1HjyajpLSlkCUiIiJBlm4hCyBz/AQAOo4dGdxi0pxCloiIiAQZPTMWWZ0hS52sgVHIEhERkSDT7PlYIGR1HD2ixe8DoJAlIiIiQeFCVkbFKAy7HZ/Tibu2dvCLSlMKWSIiIhLk8/VMWYbNRua48QC0Hz402CWlLYUsERERCXJ7w08HZk2cBChkDYRCloiIiAS5PQpZ8aKQJSIiIkEdbm/Yxx2TKgFoP3YUn8s1mCWlLYUsERERCWp3ecI+bispwVpQAF4vHUePDG5RaUohS0RERDA6N8hydoTvZBmGgaNysv85Bw8MWl3pTCFLREREgpuQOjvCd7IAsgIh68D+wSgp7SlkiYiICIGN3nubLgRwTJ7if86BA5jhNtSSLhSyREREJDhd2OEKP10I/p3fjYwMvC3NuE6fHqzS0pZCloiIiAS5etnCAfybkmZ13mXo3L9vsEpKWwpZIiIiEuTpZTPSAMeUqQA4qxSy+qOQJSIiIkH9LbXKnjYdgLZ9e7Uuqx8KWSIiIhKxrEmVGDYb3oYG3DU1yS4npSlkiYiISJDVavT5eUtGRnBdVtu+PYNRUtpSyBIREZEgm7X/aJA9fQYAzr0KWX1RyBIREZGgTLu13+c4OkNW2549mL6+F8oPZwpZIiIiElzEnmHrPxo4JlViZGbhbWmm48TxRJeWthSyREREhMB9gpF0sgybjexp0wBo270rgVWlN4UsERERCaasjAhCFkD2jJmAQlZfFLJEREQkOF1oj2C6ECB71mzAvympr6MjYXWlM4UsERERCU4XRhqyMipGYSsuxvR4tPt7LxSyREREJMhi9L1PVoBhGOTMngNA684diSwpbSlkiYiISFCEGQuA7FmBkLU9QdWkN4UsERERiUr2zFlgteKuqcFVU53sclKOQpaIiIgEDeTMZ6vDgWPKVABat29LUEXpSyFLREREgjwD3ME9d+48AFq3a8qwO4UsERERwehcjOXxDCxk5XSGrLaqvXidzrjXlc4UskRERITAenf3AEOWvawce1kZeL207doZ/8LSmEKWiIiIBFNWh3tgIcswDHLnLwCgZevmeFeV1hSyREREJNjJcrm9A35tzjx/yGrdvh3TO/DXD1UKWSIiIhJck9URRchyVE7GkpuLr60V5/6qeJeWthSyREREJKjdNfCQZVit5M6dD0DLFk0ZBihkiYiISFA0nSyA3IUXANCyZVPwsOnhTiFLREREgpwdnqhelz1rFkZmJp66OjqOHolvUWlKIUtERESC2l3RhSyLPYOcOXMBaN60MZ4lpS2FLBEREQlqa48uZAHkLVwEQMumjZoyRCFLREREQrTGELJy5s7DsNtx19bgOnE8jlWlJ4UsERERCWpuc0X9WktWFjmzA1OGG+JVUtpSyBIREZGg5jZ3TK/PXeSfMmzesGHYTxkqZImIiEhQc5sLny/6cJQzdz6GzYa7pnrYTxkqZImIiAgAuQ47PhMaWjqivobV4SBnzjwAmjesj1dpaUkhS0RERAAozM0A4Gxje0zXyVu8BPCHrOE8ZaiQJSIiIgAU5GRiADV1bTFdJ2fefIyMDNxnaof1xqS2ZBcgMpyt3d3Q5b+XzSxMSh0iIgA2q0FBbianzrXGdB1LZia58+bTvGE9zevWkjVhYpwqTC/qZImkkO6hS0RksJUWZnGspiXm6+QtWQpA88b1mD5fzNdLR2kfsjweDz/84Q+5/PLLWbBgAXfccQdbt25NdlkiUVu7u0FhS0SSZmSRg2M1zTGvpcqePReLw4Gnvh7n/qo4VZde0j5kPfLII/zpT3/i29/+Ns899xwTJ07k3nvvpba2NtmlicREQUtEkqGiOIfWdg+19c6YrmOx28ntPGanef3aeJSWdtI+ZL3xxhvccMMNXHzxxYwfP54vf/nLNDc3q5slQ4KClogMtlEl2RjA/hONMV8rb+kyAJo3bsD0RH9cT7pK+5A1YsQI3nrrLU6cOIHX6+XJJ58kIyOD6dOnJ7s0kbhQ0BKRwZSVYaO0yEHV8YaYr5U9fQbWgkJ8ra207twRe3FpJu3vLvzqV7/Kv/7rv7Jy5UqsVisWi4Uf//jHjBs3Lupr2mzRZ0+r1dLlvURuOI7dxXOLWb29rt/nrd3dwMVzi/t8znAcv3jR2EVPYxe9VBw7wzCwWg3Gl+Wx+0gdVquBYRgxXNFCwbKl1L36Ki3r11C46IK41ZoO0j5kHThwgLy8PH76059SVlbGn/70J77whS/wu9/9jhkzZgz4ehaLQVFRTsx15ec7Yr7GcDX8xq7/kAWwensdN142tt/nDb/xix+NXfQ0dtFLlbEzDLBnWMnLczBz0gg27K2l1W0ytiw3puvar17pD1lbt5KXaWDLzo5TxakvrUPW6dOn+b//9//yq1/9ikWdB1LOmTOHAwcO8OMf/5iHH354wNf0+UyamqLfhM1qtZCf76CpyYnXOzxvWY2Wxq5/L7xzvNeOlsYvehq76GnsopeIsYulSWCa4HZ5aW52Upqfic1q8PfNx7l22fiYajKLy8ioqMB1+jTH33iHwksujel6qSDScU7rkLVt2zbcbjdz5szp8vi8efN49913o76uxxP7N7vX64vLdYYjjV3fVm+v63PTUo1f9DR20dPYRS+Vxs40TbxeE4vhnzLctLeWqxb130HvT96yCzn37NPUv/ceucsvjkOl6SF1JoKjUF5eDsC+ffu6PF5VVcWECROSUJHIwGmXdxFJRVPGFLL/RCONra6Yr5XfeZehc99e3HWRLZEYCtI6ZM2dO5cLLriA+++/n7Vr13LkyBF+8IMfsGbNGj7xiU8kuzyRhNEdhyKSaFPGFGAYBhv3xr7vpL2kFMfUaWCaNK9bE4fq0kNahyyLxcIjjzzCsmXL+MpXvsItt9zC2rVr+dWvfsW8efOSXZ5IxKLpZiloiUgiOTJtTKzI4/2dp+NyvfxlFwLQtOa9mHeTTxdpHbIACgoK+MY3vsFbb73F5s2beeKJJ1iyZEmyyxIZFApaIpJIsyYWc/h0M6fOxnZgNEDuosUYNhuuU6foOHY0DtWlvrQPWSJDXUOrr8tbdwpaIpIok0cX4Mi08e62UzFfy5qdTc78hYC/mzUcKGSJpIhIpwzDBS0RkUSwWS3MnljM6u2n6XB7Y75e/oX+KcPmdWuHxTE7Clkiaah70FI3S0QSZcGUEpwdHtbtron5WjkzZ2PNy8fb3Ezrrp1xqC61KWSJpJCBLIDvHrQiOZ5HRGSgCnMzqRxdwKvrj8W8YN2w2YKHRg+HKUOFLJE01j1ovfDO8SRVIiJD2eLpIzl9ro0dh87FfK38Cy8CoHXrFrytsS+oT2UKWSIppns3qzCn7x9TrdESkUQbU5rDqBHZvLgm9rsCM8eOI2P0GEyPh+aN6+NQXepSyBIZAkKDlqYNRSTeDMNg2axyDpxoZN+x+pivFehmNb0/tKcMFbJE0lB9mxl8CwgNWloILyLxVjkqn5FFDv6y+nDM18pfuhwMg/aDB3DVxL6gPlUpZImkoIFMGYYGrVAKWiIST4ZhcNHscvYea2DP0di6WbbCQrJnzQagae378SgvJSlkiQwBgaCl9VkikkiTRxdQXpzNn98+EPOdhsEpwzXvYfqG5u8uhSyRFDXQBfDhgpa6WSIST4ZhcOm8Cg6fbmZz1ZmYrpU7fyEWhwPP2bM4D+yPU4WpRSFLZAhR0BKRRJtQns/Eijz+9NZBPN7oO1CWjAxyL1gMDN0F8ApZIimst81Ji7KNXl+joCUiibZi/mjONDr526YTMV0nMGXYsnE9PpcrHqWlFIUskTTS35RhQLjF8ApaIhIvpYUO5lWW8NzqwzS2Rh+OHJOnYCspwdfeTsvWzXGsMDUoZImkuMgPjjZpaDW7PTY0F5OKSPJdMrcCw4A/vXUg6msYFgv5y5YD0Lxm6N1lqJAlkmYC3azQKcPQcBX4WNOGIpJIjkwbl84dxfs7q2PaoDR/WecxO7t24mlsjFd5KUEhSyQNDOTgaFDQEpHBMbdyBKNLcvjNq/twe6LrnGeUl5M1cRL4fDSvXxvnCpNLIUskDXVfm1WY03MhfPegFSo0aK3d3aDgJSJRMQyDqxePpabOyV/XRn+uYd7yCwFoGmJThgpZImkiXDerr7sMofs0Ytd/ZXYPVwpbIhKN0kIHS2eO5MX3j3DiTEtU18hbvASsVjqOHaXj1Kk4V5g8ClkiaSrSOw0bWs0B7QivsCUiA7V8VjlFeZk8/uJuvFHs3m7Lyyen85id5nVr4l1e0ihkiaSRvrpZ4aYMQ/V2xmFvFLREJFI2q4Vrl47jWG0LL74f3bRhXuddhk3r1gyZY3YUskSGqHqnl3qnF+i6Pmsg2zooaIlIpCpG5LB8VjkvvHeYgycHfpdg7rwFGJlZeM6epf1g9NtCpBKFLJE0E9rNCredQ3fdg5b/YwUtEYm/5bPKKS/O5md/2UVru3tAr7VkZpK38AIAmobIXYYKWSJDSG9ThoGgBQOfNgQFLRGJjNVicOOFE2htd/PYi7vxmQP7fZO3dBkALRs2YHo8iShxUClkiaShcN2s/tQ7vVFPG4KClohEpiA3k+uWjWfbgXO88N6RAb02e8ZMrHl5eFuaaduzOzEFDiKFLJEhor/tHAKinTYEBS0Riczk0QVcMreCv6w+zMa9tRG/zrBa/ds5MDSmDBWyRNJUb92svu4yDF2fFc20IShoiUhkls0sY8b4In7xwm4ODGAhfN5i/5Rh65bN+NzRHz6dChSyRNJY96AV2s0qcljDvqb7+qxoDpFW0BKR/hiGwbVLx1FWnM0P/7SNmrq2iF6XVVmJragYX3s7bTt3JLjKxFLIEhmCwh6z03Z+EWno+izoe9qwt88paIlIf2xWCzdfMpGsDBv/8+RWGls6+n2NYbGQt2gxAM0b1ie6xIRSyBJJc9F0swL6mzYMBKyGVl/YsKWgJSL9cWTa+OCKSjpcXr731DacHf3fNZi7eCkALVu34OvoP5ilKoUskSGoKNvo0c0qzLbR0OYJdrRCpw2hZ8cqXKjqLWgpbIlIXwpyMvjgikpq6508/OwOPN6+lylkTZyIbcQITJeL1l07B6nK+FPIEhkC+trSIVw3KzRoDfRsQ00fikg0SgsdfODiiew91sCvX9mL2cceWoZhkHeBf8qwZdOGwSox7hSyRIaocN2sUKFrtGBgm5QqaIlINMaX53HNknG8t6Oa1zcc7/O5uRcsAqB129a0vctQIUtkCOq+pUNva7Ma2jy9LoLvb5NTBS0RicasicUsmT6SJ986wO4jdb0+L2tSJbbizrsMd+0axArjRyFLZIi4eG5xj8e6b1BamG0L+9pIpg3r28zgW4CClohE49J5oxg3Mpefv7CbptbwXSrDMMidvxCAlq2bB7O8uFHIEhmieutmdQ9a0UwbhoYtBS0RGSiLxeD65RPwen08/tLuXtdn5S7wh6zWrVsxvd6wz0llClkiQ8iNl43t8VikWzoMZO+s4GsUtEQkSrkOO9csGceOQ3W8t6M67HMcU6dhyc7B29KM8+CBQa4wdgpZIkNYoJvVfRF8X92sgR65o6AlItGqHF3A7InF/PHNKuqbe+6HZVit5M6bD0DLlvSbMlTIEhlmeps2hJ57Z/WmodXs0vVS0BKRaF2xcDRWi4XfvrYv7LRhTmfIat2+bZAri51ClsgQ030BfKSHR4eKtJsVGrTOP6agJSKRy8qwsfKCMWzdf5Z1u2t6fD571mywWnHXVOOqDj+tmKoUskSGiXBrs/rrZoUGre53KgYEgpbuOhSRaE0bW8iM8UX85tV9nG1wdvmc1eEge+p0AFq3b01CddFTyBIZgkJ3gO8u0M3qK2hB+C5VbxS0RCRWVy8aS6bdyk+f3UG7q+tdzzlz5wLQkmZThgpZIkNUuKN2eutGdQ9aA+1mgYKWiMQmM8PKBy6eyOlzbTzy3E68vvO/P3Lm+ENW+4H9aXVgtEKWyDDU29qs7ntmRdrNCoQyBS0RiUVZcTb/cPFEdh2u56fP7qTD7f/dYi8r9x8Y7fHQtm9PkquMnEKWyBDW18HR0HXfrB6bkvbSzfJfy+jxvHqnt8teW92DVriwpaAlIt1NrMjn5ksnsutwHQ/+cQtNbS4MwyBn9hwA2nbuSHKFkVPIEhlm+pryg/67Wf29vreg5b+WgpaI9K9yVAH/eMUUaura+MYv17P7SB3Zs/whqzWNzjFUyBIZ4nrrZvW1nUMgaEXazQp7DQUtEYlBxYhs7l41jcKcDP7nia28VpsBhoG7php3fX2yy4uIQpbIMND9bsP+ulHQcxf4/l7f0OYJvvW1Rsv/uIKWiPQvLzuD2y+fzKXzR/HK9rOcdYwAwLk3PdZlKWSJDDPd12b1dZ5haGCC8IdHh3t9b0GrvwXxCloi0p1hGCydUcZHrplGbeEYALa89j4NLal/l6FClsgw0X3asPt5hn3pfnj0+ev0PeXYPWhB/3ceKmiJSDglBQ6mXbYYgOzqI3zl0bW8vPYobk//h9kni0KWyDBXmGNQ5LAG98pyO5u7vHVfCB8Q6ZRjf0FLRCRSxthJmIZBgbuFCyrsPP3OQf7j8XXsOHQu2aWFpZAlMoyE62b1JxC0At2scAvgQ0NaOH0FLXWzRCRimVlQNgqAiwvb+ei103FkWPn+U9v46bM7qG9OrSlEhSyRYaa3acNAULI78sK+LrSjFQhIvYW0cJ0wBS0RiYuxkwAwjh+ipMDB7ZdP5obl49l7tJ5///la3tx0AtNMjW65QpaIAF3XV3UPWm5nMxDd2qxwU44KWiISLXPsRP8Hxw8D/oXxMycU8/HrZzBjfBG/f72KHz+zgxanO4lV+ilkiQxDvU0b9jXt19u04UBfGxBp0BIR6WL0eP/72tPgdgUfzsqwcfXisdx8yST2HavnG79cz7Ga5iQV6aeQJTIMde8QRTpt2L0rFbo+K5I7FfsKWucf6xq01M0SkS4KijBzcjF8Pqg51ePTU8YU8JFV08mwW3joia2cPteahCL9FLJEBBjY+qzu04bdu1mB17lbz55/czZ3eX1AJIdKK2iJSJBhwKhx/o9PHg37lPycDG5fMZmsDCsP/XErzW2usM9LNIUsEemiv/2z+rvbsNfXdQatcEf29LYzfCgFLREJMEf5pwyN08d7fY4j08ZtKyppaXfz5qYTg1VaFwpZIhIUuht8f92s7rp3wcIZSNDS+iwR6VW5fxuHcNOFofKyM5g7aQRvbjqBxzv4v1MUskSGoe5nGYaKdNqwt25WoAtmd+Rhzynp9etEE7TUzRIRAMpG+9+frQFP+A2TA0aX5tDa7sHlVsgSkRTQW9AKvIVT32ZGdqdhyPqscEGrOwUtEekhvxAzK9u/+P1MdZ9PDRy7Y7VGdoxYPClkiUivIpkC7G0RPPTezeoraEWyPktEhjnDCO78Tu3pPp+691g948tyybT3PMw+0RSyRIapvqYM4fz6rEiCVkAgGAWe35fudxxC70FL3SwR6aGkDADjXG2vTzl9rpXDp5u5ctHYwaqqC4UskWGsv6AV0D1oBd5Cdd/zqjDHiHjhfJe9tyIMWiIyvJklI/0fnK0J+3mXx8tLa48yviyXpTPLBrGy8xSyRCRikXSouq/NAnpdAB9u2hDCn3PYnbpZIsPciN5DlmmavLnxBM1tbj5x0yxs1uTEHYUskWGut25W985RIDgFglYgQPUVunrrZjlrduGs2QX0H7RA04YiEkbndCH1Z8HX9XfDtoPn2HG4jrtXTaNiRE4SivNTyBKRAU0bwvltGvoKWJF2swLCBS3QtKGI9CKvANNi9d9h2NwYfPhso5M3N53g8gWjuWhORRILHCIh67nnnuO6665jzpw5XH/99bz88svJLklkyAoNWr3tDN9936ze1maFdrNC9XbHYTjqZokMUxYLFBT5P244B4DPZ/LKumOUFjr4x5VTklicX9qHrL/85S989atf5Y477uCll17ihhtu4N/+7d/YsmVLsksTSSv9dbPq28zgW+g2DYGwFS5wRdLNCjdtCOH30FI3S0S6KCr2v2+oA+DgqSZOnWvjo9dOx25LfsRJfgUxME2TH/7wh9x9993ccccdjBs3jk9+8pNceOGFrF+/PtnliaSd0KAVesROdwPdw2ogdxr2FrT6mjZUN0tkmCroGrKOVDdRWpjF1LGFyaspRFqHrMOHD3Py5EluvPHGLo8//vjj3HfffUmqSkRCO13hulmOslldnt/btCF0XaOlaUMR6SI3HwCjpQmAuuYOyouzk1lRF33vLJjiDh8+DEBbWxsf//jH2b17N2PGjOGTn/wkV1xxRdTXtcXQYrR23iZqTdLtoulMYxebeI3fxXOLWb3d/6/CwhxLxFNzocGqt88VOm00kBc2TDlrdgXDl9vZ3KPrVe/0BoNaYMqyodXXpeMW7c+uvveip7GLXiqOnWEYSTl+JlpmQQHgD1kWq8HE8jze31mN1zSTssN7d2kdslpaWgC4//77+cxnPsMXvvAFXn31VT71qU/xv//7vyxfvnzA17RYDIqKYr/dMz/fEfM1hiuNXWziMX43XpbDC+8cB8IHrXAbj3ZfqxVOkcNKQ5vHvzarbFawgxXK3XoWe05Jl6DV0OahMNvWuT7L2uvXW729jhsvi35nZ33vRU9jF71UGTvDAHuGlby81KgnEu7SUpyAxdlCbp6DRbMq+PuO0zz24h7uv3sRdltyg1Zahyy73Q7Axz/+cW6++WYAZsyYwe7du6MOWT6fSVNTW9Q1Wa0W8vMdNDU58Xq1OHcgNHaxiff4hXa0wN+N6m0tVkOr2W/QGkg3q6+gFfr1/B937WbV17cO+M+q773oaeyil4ixi6VJYJrgdnlpbnbGpZbBYFozAfA1NtLc7MRuwK2XTuKZdw/xzZ+v4ZM3zyYnyx73rxvpOKd1yCor829ENnXq1C6PT548mbfffjvq63o8sX+ze72+uFxnONLYxSae47dsZiFrdzf0Om0YOoXXW9AKBKDA6wPdrN6EThsCPYJW4BoQftpw9fa6iPf96k7fe9HT2EUvlcbONE283jQ6nD3TgQUw2534OuueUJ7PLZdO4rnVh/niT9/nthWVXDS3Aosx+NOgqTMRHIVZs2aRk5PDtm3bujxeVVXFuHHjklSVyNBUmGMJ26Wqd3qDb93vAOwucAZiYbYt7AL4UKGdrnAHSff3tURkGMjyL3I3XB3gPb/dy4TyfD5+3UzGl+Xyvy/v5Tu/2cieo/WY5uD+vkjrkJWVlcW9997LT3/6U1588UWOHTvGI488wnvvvcc999yT7PJEhoTuXaFAUAqnr/ATOqVX5LD2uZ2Ds3oneW2NFJ7cRW5rA5hm2B3hQ9eGaUsHkWEoK2T9WHvXpT552XauXz6Bf7pyCs4ODw/+cQv/3282smnfGXyDFLbSeroQ4FOf+hQOh4Pvf//71NTUUFlZyY9//GOWLl2a7NJEhozepg2LHNYum4UCPRanw/mpPP97/+sLnTbc3RbA53Q4ueLARm7Y/R4VzeeC16wpHsNry27n7wuux108qtdpw1BrdzdEPW0oImnCYsHMzMLoaId2J+T0/MfbmNJc7rp6GodPN7NuTw0/fXYHZcUOrl06nuWzyhK6OD7tQxbAPffco86VSIKFBq1AUOrSSeqxzsra6+J06Fyb5Ti/AH7BiX18+W+/IdPj6vG1S+tOcsdfv89tbzzCTz/yI3ZOvxjoGuh6+zoiMsTZ7dDRDm53r08xDINJo/KZNCqfk2dbWb+nhl+/vJdn3jnIlYvGsmLBaHId8V8gr99GIhKxQGcosD6rMMcIe0h0Q5snOHXYfYf20NcG1mYta23n668/TqbHjYWev5gsmFgwyXC3838eu4/Ze1f3CHXaCV5kmLJ1hiNP7yEr1OiSHG6+ZBIfu34GEyvyef69w3zh4fd44s39tDgju0akFLJEpIu1uxviEk7CBa1QRdn+gDbWYeXfnvkOhukPU32xmCYGJp/+9edwOJu6fA3QIniRYcme4X/v7tkF78uI/CxWLRnHfTfN4oKppby95SRf/tkaXlt/DHec7vZUyBKRsHoLW711swJ7WIXqHrRCu1n+9waXbXqOTHdHvwErwGKaZLjauWjjX7p+LS2CFxmerJ2/eyLsZHWXk2XnkrmjuPeGmUwZW8CTbx3ga4+t5eSZlphLU8gSkT6FC1uRBK3QuwF7C1pFDljyxq8jjFddXfnub8A0g9cPUDdLZJixdEaZGH/0cx12Vi0exz3XTgfgwT9uobou+s3JQSFLRCIUadAK1V/Qymyqp7j2WMRdrAALJmV1J8isOxF8LHTaENTNEhl+4vMPrJICB7dfPhm73cpDT2zB54v+ugpZIhKxSIJWoJtld+Rhd+SF3d8K/CGo2Ijt+I6sjraw11Y3S2QYCezkHse9r3Ky7CyYXEJj68DWeXWnkCUiXfS3t1RfQQvodX0W0GMhvNcR22Hs7ZnZXXaDVzdLZDiL37E5HW4v+080MLLAgcUS/XUVskRkwHoLWuHWZ4Xu7N592rDWVkDrqPGYAzxTzIdBTfEYWhwFXa4dKlw3S0FLZAjydv7sW+OzqejZRie/e62K6jont10xOaZrKWSJSA+R7JQeLrBEcschEFyoXu+E3Td8JKoaX13+oeA0Qbi1XwHhDrYWkSHE0xmybLHtr17X3M5rG47zm1f3kZlh4esfXcT8ySUxXVMhS0SiFhq0It3aIdBxCgShgytvxZPpiLib5cXAZc/kral9H50VbiPU7jWLyBDg67y7OIpOlmmanDjTwrN/P8TjL+7hwMlGblg+gf+4ezEVI2JbzgBD5FgdEYm/wDE60bwm9OgdOP+LL3RKL3AkDjn5vPPvj3DFN+/BxL8PVm98GGDA/9zyNdqycgk9BMPtbMbuyIvoXEMRGUICx+nYIj8Wp8XpZteROnYdruNsYzsVxdl85NrpcT/LUCFLRCIW2hEKLHTvfhBzb0Gr3untdfpw94xL4Zv/y2X/+UmMDmePsBW4SofNzn+tvJt9kxZGWK8Z9lxDHR4tMoR0tPvfZ2b1+TSP18f+E43sOlzH4eomrBaDBVNKuWvVNGZNLMYywLWhkVDIEpFe9dXN6iu09BW0el7HH4ROX3AZT/96DRWvPM2cl35Fce2x4HNqCyt4ftoS/jblAtoyHDh6qVfdLJFhxufDcHX4P84M/5uhuq6NHYfOsedoPe0uL5Wj8rnr6mksmTGS7Kz4HwodSiFLRPoUGrQKcyxdulnRBC3wTxV237i0vs2kKLeAYx/8GNuu/SgdtfXUnK6nxfRR73PjrN3dozZ361nsOX0vTFU3S2QICwQs6NLJ6nB52Xmkjp2HzlFT76QgJ4MrFo7hojnlcVlrFSmFLBGJyUCDVkOr2SNg9WAYOHOL8I7Jp6PNA2cP4yibFVE96maJDCNO/4bEps0ONhsdbi+bq86wYW8tLo+PeZUj+NDKKcyZVIzVMvj3+ilkiUi/+upmdRdZR6vrgc4BoUGoMMegvnNDeHtOCe7Ws1HXr26WyBDV1nmIc04u63bXsH5vLS6PlxXzR3PdsvEU5WUmtTxt4SAiEQkNI4GQEtDfXlTdt3fwf2wE30KFbiLa115bAeHCV/d9s8JdW0SGgFb/z3q9L4O/7zjNspll/Pd9y7njqqlJD1igkCUiA9BX16e/vai6B62+pu66fy5013gAZ80unDW7+i+4S306bkdkyGn1d7LqvTY+ffNs7lo1jeL8vu8yHEwKWSISle7drO76C1rQM0z1/BpGcE1VuAXugaClbpbI8ORragSgeFQpC6aUJrmanhSyRGRABjJtGGnQCg1b4YJX6JThQDtYXesL381avb0u6muKSPJYmxsAaLIP3h2DA6GQJSID1lfQ6q6/oNVb2Oqu+5RhQLy6WS+8c7zXry0iKaqxHoCd50z+8EYVHm9qnVWqkCUiUeketEIDU3f9rXsK97rQBfKhU4bhtnKIJGgBOjxaZKjpDFmTZ07grc0n+e/fb+Z4bUuSizpPIUtEojaQ7Q+6B63ur+0raAH93mXY1zSi29nc5dxECN/N0rShSBoxfcGQNWXWRD68cgp1zR1845fr+ekzOziRAmFr0EKWz+fjueeeG6wvJyIpaO3uhi5hK5Kg5X/c383qbcowwFmzq8/9tALThupmiQwBjQ0YHjemxQqFRYwqyeFj183gmiXjOHCyka//cj0PP7uDYzXN/V8rQQYtZHk8Hr7yla8M1pcTkUESzWae/QWt0LDVvZvV25RhQG9BK3TaMCBcN0tbOoikiboz/vdFI8DiX1JgtRjMrRzBvTfMZNWSsRw42cg3/3cD33tqK/uO1WOag3t3cVx3fP/JT37S6+c8Hk+vnxOR9NbXQdK9Cd1tPdzru+8s79+01EqDIy+i3d/DnWvodjbTQKAbZg27C7yIpIm6zt8DxT23brBaDOZVljBn4gj2Hqtn3Z4a/vsPW5g8Op8PXTGFytEFg1JiXH+r/OxnP+Pw4cOcOXOmx9u5c+fi+aVEJMVE29EKhKtwrw+3n1ak3SzwB63Qt+4aWs1gN0sblIqkF+Nsjf+DEb3vj2WxGMycUMxHr5nOLZdOornNzXd+u4mfv7CL+uaOXl8XL3HtZE2dOpUbbriByy+/vMfnOjo6+NOf/hTPLyciKSaajhac72r19/qBdLOcNbt6BLHAawLdrH4PqhaR1FV7GgBzZEW/TzUMg8mjC5hUkc+Ow+f4+/bTbK46w8evn8ni6SMTVmJcO1m33XYbPl/4RaQ2m43PfOYz8fxyIpKCoj1wubdwFW03C3q/4zBwt2FgEby6WSJpxjSDIYsIQlaApXMa8d7rZ1A5Kp9Hn9/Flv1nElRknEPWhz/8YVauXBn2c1arVSFLZJgIdKV609DqC76FCl2nFSo0aIXeaRjuqJ3+9NYB03E7ImmktRnD2YppGFBSNuCXZ2XYuH7ZBKaMLuDh53ZSU9eWgCKjCFmvvPIK//3f/80PfvADXn75ZZqamoKfc7lcbNy4kaNHj8a1SBFJT5F0tbqHrUg7SIXZNuyOvKi6We7Wsz26WaH1DLQWERlk1Sf974tLwZ4R1SUsFoNVS8bi9ZocS9CeWgNak/WjH/2Ihx9+mOzsbADa2trIysri3nvv5e677+a2227j2LFjAMyYMYNvfetbzJ49O/5Vi0jaiHSdVn93+AXuNjw/behfT+XOKYGyWTGdaRhQ32b2e2i1iKSA053HYFWMiekyFsPAAFraXLHXFO76A3nyn//8Z1atWsX69evZvHkzzz77LCtXruSnP/0p//iP/8iZM2d44IEH+M53voNhGNx5551UVVUlpHARSR/9dbTCrYnqT2D7hf42KAV1s0SGGuP0CQDMirExXef9ndXYrBZmTxoRj7J6GFDIqqur46KLLsJm8zfAZsyYwf/8z/9w0003cfjwYT784Q/zD//wD9xyyy088cQTTJo0iZ/97GcJKVxE0ktvh0oHAlZ9m38BeiRBK9BtKnJYKcy2kV0ysd9pw970tgg+lIKWSIoJdrKiD1n7TzSwcV8tN140gdJCR5wK62pAIWv06NFs3769x+P/9E//hGmazJkzJ/iY3W7npptuYuvWrTEXKSLDR19Bq/t0YmARfKR3G3bX5xE8Om5HJDU1NWA0NfgXvZePjuoSe47W85fVR1gwtZRrlo6Lc4HnDShkfehDH+Lpp5/mJz/5CfX19cHHp02bxuc+9zkmT57c5fmZmZmcOZO4WyNFJL301s0C/8aggSm7SDtaoQJ3G0bT0dKWDiJp5MQR//uRoyAza0AvNU2TDXtreXHNEZbMHMm//MMsbNbEnfYwoIXvH/vYxzhz5gyPPPIIjzzyCJMmTWLatGlMmzaN2bNnk5d3fm2E2+3mueeeo7S0951YRWT46W8hfEOrSWGO0Rl0el8MX5Ttf05gg1I4v8noQBbChzt+B7QIXiRVGYGQNXbCgF7n9fp4beNxdhyq49ql47j1skoslsT+jA94x/f777+fO+64g9dff53t27ezZ88eXnnlFbxeLwAFBQVMnTqVs2fPcvjwYW677Tba2tqCdySKiASClj9A+Xqsg+oraHU/0zAgsHt7aNAaqIa2wBmr4c817G0fLxEZRJ0hyxwzMeKXtLa7+cvqw5w+18bHr5/BRXMi38A0FlEdqzNmzBjuueee4H+73W4OHjxIVVUV+/fvp6qqCqfTiWmaPPXUU/zpT3+irKyMyspKpkyZwpe//OW4/QFEZGgozDG63eEXWUer+2sLs23BoBXJQdIBbmdzjzsVw3WzFLREksjVcX7R+5gJEb2kpq6NZ/9+CID7/2khk8cMzuHQEKezC+12O9OnT2f69OldHm9paaGqqqpL+HruuecUskSk324W9B60QvfMCn1dkcNKvdPfVQ8NTKFhKzA1GHis+1Rhf90sEUmiE0cwfD7MgiIoLO736VXHG3hp7VFGjcjms7fOpTh/YGu4YhXXA6K7y83NZeHChSxcuDCRX0ZE0lT3oAV06WYF/juSsBPoZgWnDds82B15/g5VmDVX4R7r3s0K1FKUbWjaUCQFGEcO+D8YXwlG7+upTNNk3Z4a3t12msXTR/Kx62eQaR/8A+H1TzMRSSmBQBUq3P5V4Q6O7vL5bP+/Ie2OvOBbpAJ3GgZo7yyRFHHUH7LM8ZN7fYrPZ/L6xhO8u+00N100gfv+YVZSAhYoZIlIkgU6QoU5lj7v5gsErYg2K+3sZhVm24JhCyILXG5nc4+ve/5j7Z0lkjQd7XDSf3QfE6aEfYrX6+OF94+w7eBZPnrtdD5wySQsfXS8Ek0hS0SSrnvQCtfNCggNWpGuk+oetqD/43h662Zp7yyRJDlyAMP0YRaXhF2PZZomr6w/xoGTjXzmljlcOm9UEorsSiFLRFJKX0Gre1cpEHgCHbC+whmcD1uhU4nh9NbNCjdtKCKDwzi8z//BpGlhP//ezmp2Hann3htmsmBKauzRqZAlIikh3ELySNdnRaO/oAVdu1k6QFokyQ76Q5Y5sWfIanW6Wbe7hhsunMDSmWWDXVmvFLJEJCWEhpXQ9Vm9dae6B61Iu1mhuk8hhgrtZmnaUCTJ6s9i1J3BtFhgQs9F7zsOncNiMVi1JPoDoxNBIUtEki5cSIklaHXX0OYJ2f+qp9721AqcaRi8jqYNRZLjwB7/+7GTIMvR49Mt7R7yszPIzkzozlQDppAlIikrmqAVeG7gDsNQ4cJWuG6Wu/Vsl7ClaUOR5DI6Q5Y5eUbYz08oz+NcUztHa5rDfj5ZFLJEJKV1D1rhwlaXXd8jONQ5XFcr3Nosd+tZTRuKJJvbBYFNSHsJWePL8igtzOJ/ntjKwZONg1hc3xSyRCTp+ts9vb89tKBnRytcN8vtbA6GptCuVp9rszqDlqYNRZLk0D4Mj9t/lE5pedin2G0WPrxyCkV5mXz3j1t4c9MJPN7k72unkCUiaSEQtPoKW/VtZthDnbuHqO5hK1S443YCNG0oMviMfTv9H0yb3edROlkZNm5bMZnp44r4w+tV/PvP17J2dzU+M3n/GFLIEpGUEMlZgKFH6fQXtvzPD782K6B70Op136wIpg1DKWiJxInPB/t3A2BOndPv0+02C9cuHcdHr51OYW4GP39+N9/85Xr+vu0ULre339fHW2otwxcR6UdhjqXHJqR9Tdv513B1HhqN/8Do0EXtAf3tAB94TQN5wc5Y4PBq/9fv/fBqEYnSySMYbS2YWQ4YNynil5UWOrjl0kpOnGlh7e4afvXyXp566wCXzBvF5QtGU1rY8w7FRFDIEpGUsWxmYURdoECYCQ1b0a6PCg1cAwla4D8jMRC0AvUEalu7uyGi7pyI9M7Yu8P/weSZYB34Ic9jSnP54GW51Dd3sPXAWd7ecpJX1x1j9qRiViwYzdzKEVgtifvHkUKWiKSt7l2t3oJWj25WmE5Wl7CVUxL8b2fNruDjjrJZuFvPYnfkBacYA9OR4daCKWiJxMA0Yc82/4cz5sZ0qaK8TC5fMJqL51Sw+2gd2w6c48dP76AwN4NL543i0nmjKM7PikfVXai3LSIpZaChJHSKrr87EAOBqPvi9kCQChe+wj6vl7MN/R8n/44mkSGh+gRGYz2mPQMqp8flknabhXmVJdy9ahp3r5rG+LI8Xll3jC8+8j4/fXYHB0/Fd/sHhSwRSTmxBK3en9O511a2rcu0YCA4OWt24azZ1WMj0nBCt3UIvdtQe2eJxI+xZ7v/g8rpYM+I+/XLi7NZtWQcn/zAbK68YAyHTzXxnd9s4r9+t4kt+8/E5a5EhSwRGRJC7zzs/Tn+uw0Ls229btUQOj3Y1+fDBS3Q3lkicWGasGer/8MZ8xL6pTLtVhZMKeVj183g5ksm4uzw8OOnd/Cd32zkRG1LTNdWyBKRlBTNWqbeglZDq9llSq/IYcXuyMOeU4KjbFaP60QatLrT3lkicVJ9EqPuLKbNDlN7/owmgsViMGVMIf905VQ+vHIKTW1uvvmrDTz77iHcnuiWAShkiUjKimfQgq4hqPu0YXf9BS3ov5uloCUSHWP3Vv8Hk2dARuagf/2xI3P5yKppLJtZxl/XHuWXf90T1XUUskQk7XUPY92DVrjzDkOnDcN1s6DvoNV9sXwgaOnIHZEYhU4VzpyftDJsVgsXz6ngmiXjWLe7hk37zgz4GgpZIpLSIulmhesSRbIYvr9pw/4M9G5DdbNEInDqGEb9Of9dhVNmJrsaZk4oomJENn/bfGLAr1XIEpGUF+1eU6EHS4frZkH/04aRGMgieAUtkb4Zuzb7P5g6KylThd2ZJjS2uphQMfDfEwpZIpIWYtnUM5Jpw+ySiTF1s7rT3lkiUfD5YNdWAMxZC5NbC+D2+Hhp7RHa2j0smjZywK9XyBKRtBHvhfABkazP6o8WwYvEwbFDGC1N/rMK47QBabQaW1088bf9HDjZxKc+MJuJFfkDvoZClogMeaFBq7dpw1jWZ4XrZmkRvMjAGTs3+T+YPhdsyTn5z9nh4a0tJ3n8pd04Ozx85c6FLJo+8C4WDKGQdfjwYRYsWMAzzzyT7FJEJIFiWZ91/uO+12dF29EK7WYFaBG8SIQ8nvNnFc5ZNOhfvsPlZc2uan7+wm62HzzHDcsn8J+fWMaE8oF3sAKGxAHRbrebL3zhC7S1tSW7FBEZBMtmFkYVUvxBy0d9m0lhjtElAMH5sw0Dh0g7ymZFtF8W+LtZocFMB0iLDNCB3RjtTsz8Qhg/adC+bHObi437zrDt4Fm8XpMV80dz40UTyM+J/SifIRGyfvzjH5Obm5vsMkRkECU6aFEykbazhwcUtOD8vlmhdyw2tJrB7llDqy+i7SVEhhtjR+dU4awFYCT+Z+Rso5P1e2rZfaSezAwLKy8Yw5UXjKUoL353NKZ9yNqwYQNPPvkkzz33HCtWrEh2OSIyiKINWuBfn5WooBXQWzcrNGipmyUCONtgv/9nzJx9QcK+jGmanDjTyvo9NRw81URRbia3XV7JpfNG4ciMfyRK65DV1NTEl770Jb72ta9RUVERt+vabNEnaKvV0uW9RE5jF5vhOn4Xzy1m9fa6Ab2mMMdCQ6uvS9ACepxvCODOKQlOHQb0F7i6d7P8dxtae10LFsvvnGQbrt938ZCKY2cYBlZr73fiJoq5bzt4vTCyAuvoMQn5GkdON/H37ac5caaV0SU5fOKmmSybVY4tgeOf1iHrm9/8JgsWLODGG2+M2zUtFoOiopyYr5Of74hDNcOTxi42w3P8BhayoGfQ8j92/i+XhlbTH7RGFHGG88EJGFDgamjzUJh9/ldtuG7W6u113HjZ2AH/GVLJ8Py+i49UGTvDAHuGlby8wa+nddcmvEDmkuVkxvnrV59r5ZW1R6k6Vs/UcYX8x8eXsmh6GRZL4sNk2oas5557jo0bN/LCCy/E9bo+n0lTU/QL6K1WC/n5DpqanHi92oBwIDR2sRnO49dXNyv0jr7ua6HCBa3znzOCQauhsyMVGrQC+roL0e1sDtvNCrcI/oV3jnPx3OLe/5Apajh/38UqEWMXS5PANMHt8tLc7IxLLRF/3fpzcOgAYNAxZS6uOH19t8fHm5tPsHX/WUoLHXz21jksmj4SwzBobIztRrlIxzltQ9bTTz/NuXPneqzD+sY3vsFf//pXHnvssaiv7fHE/s3u9fricp3hSGMXm+E6fpGszwq36DwQtMIJBK3CbBsN9B60wnG3nsWeU+L/uiHdrL4Wwafz/7fh+n0XD6k0dqZp4vUO8r5u2zZiAcwJkzFzCyAOX7+uqZ2/vHeYhhYXH7piClcsHI3Naun8sw3eny9tQ9ZDDz1Ee3t7l8euvvpqPve5z3HTTTclqSoRSaZogxac3xE+XEcLzm/tAJEHLejZzdIieJEQpomxfaP/w7mL43LJ47UtPP3uQYryMvmPuxcxZmTydh9I25BVVlYW9vERI0b0+jkREegZtEK7Wb1NHcYStKD3bpbIsHbyKEbdGUx7BsyYG/PlGls6eG71YSZV5PPZW+cm5I7BgUidWxpEROKgeyeotz2puk8Rhj4v3DmHhTnG+TMOO3eF70tvn9e5hiLnBbpYTJ8LGbHtT2WaJn957wg5WTY+dfOcpAcsGGIha9++fdxyyy3JLkNEkizSKbdEBa3eHg933I7ONZRhy+OBXVsAMOfGfozOoVNNVNe1ce8NM8l12GO+XjwMqZAlIhIQGrT62mG9t0Xv4A9a4cJWIGhB74GqL6HdrHB1qJslw8L+XRjtbZh5BTBhSsyX21R1hokVeUwZUxCH4uJDIUtEhoVIj7LpbVF8IGyFrqUKPTonVF/rtSLtZiloyVBnbNvg/2DOBWCJLY50uLwcq2nm4jkVGEbqrHdUyBKRISse04ahQoPWQNZnhRPoZoXuMt9XV01kSGltgYN7gPjcVXi4ugmfCXMqR8R8rXhSyBKRIS3aacNYg1ZoN8vtbO76tUK6WQHqZsmwsnMThs+HWTEGSstjvtz+E42MKc2hpCA1ds8PUMgSkWEl0mnDvkQTtMJRN0uGq3jujdXh9nLwVCOLpo2M+VrxppAlIkNePLZ16C7cgviBCHSztKWDDDu1pzGqT2BaLDB7YcyX27r/LF6vySXzRsWhuPhSyBKRYSHandT763xF2s3qPmXYXWg3S2QoC+6NNXkmZMe2G3tru5v1e2u5aE45RXmx7bOVCApZIjJsRLo+K1IDXQjf29osdbNk2PD5YOcmIPapQtM0eX3DcawWg1surYxHdXGnkCUiw1a4oBVuTVQk04bR3nEYbksHkSHryH6M5kbMrGyYMjOmS23cd4aqE43cvWoa+TkZcSowvhSyRGRY6W99Vm+BKtLOV/eg1WP6sJdpQ3WzZDgwtnfujTVrAdiiP/Zm/4kG3t5ykmuXjmPR9NRb8B6gkCUiw06kC+G7i2Rbh2jouB0ZFlwdsHcHENsxOodPN/HC+0dYOK2UW1ek5jRhgEKWiAxL4YJWPNZpdZ82DCeSblaAulkyZOzZjuF2YRaXwujxUV3iaHUzz/79EDPGF/GJG2dhSaHd3cNRyBIRGYD+ulnB/+4naHWn43ZkqDN2dO6NNWcRRBGOjtY08/S7h5g2rojP3DIHuy31I0zqVygikiDRbuvQn8C0YZf1WRGGrf66WSJpqakBDu/3fzznggG//FhNM0+/c4hpYwv47C1zsNus8a0vQRSyRGRYiyZoDWRaMRC0gGDY6i1wqZslQ9bOzRiYmGMnQtHAzhesrXfy7N8PM2VMAZ+9dS4Z9vQIWKCQJSLCxXOLB/yaSDYp7fLf2ZHfSaVulgw1RmBvrDkDW/De3Obm6XcPMrLIwWdumZNWAQsUskRE4qa3o3aKHNH9xaBulgwJNacwak5hWqwwc96AXvrm5uMYwOdvn4cjM/otH5JFIUtEBLjxsrEDfk2004aRUDdLhopAF4vJM8CRE/HrDp5qpOp4I/901VQKc1PvyJxIKGSJiHSKZtqwu/4Ojh5I0AJ1syTNmT7Yudn/4QAXvO88XMf4slwWp/Bmo/1RyBIRiUE0e2sNNGiFUjdL0srxwxhNDZiZWQM6Rsc0TY5WNzNvcglGiu+F1ReFLBGREJHcbRjpjvF97QA/kKDV15mG6mZJKjM6u1hMnwv2gZ0v6HJ7KUjTacIAhSwRkW6iCVqh+psyDOgvaHVflxXuTEORlOX1wO6tAJizFw7opYZhkJ1lp7GlIwGFDR6FLBGRMPoKUeG6R9F0s8IJ3SsrUupmSUo6tA/D2YaZkwcTJg/45WVFDnYfqUtAYYNHIUtEpBf9dbQGo5sV0H0BvLpZkuqMXVv8H8ycD5aBb2MyfVwRB042UdfUHt/CBpFClohIDEKDVrTdrO5BK7SbFW4rh3DUzZKU4nbBvp0AmLMWRHWJyWMKsFktrN1dE8/KBpVClohIH3rrVkUSasIdGt2bAe2hpW6WpLoDezFcHZgFRTBmfFSXyLRbmTImn3UKWSIiQ9dApg3762ZFuvt7uLVZfd1lCOpmSeowdnXeVThzPhjRR42K4hyq69owzb6/91OVQpaISASiDVqh3ayBThsGhJsyVDdLUpbbBQf2AGDOnB/TpRyZNtweH86Ogd8QkgoUskREIhQapCLZ5qE3/U0bBt7CUTdLUt7+3RhuF2ZhMVQM/LiqUEeqmykvzk7LcwtBIUtEZECWzSzsNWANpJs10EOjI10AL5Jsxp5t/g9mzIcYdmuvrmuj6ngDy2aWpe2u7wpZIiKDLNqg1V1vU4bqZknSuF2wfzcA5sx5UV+mrrmdP79zkDEjc1i1ZFy8qht0ClkiInEUSTfL/7nzQSvSsBXoZvU3ZSiSNAf3xjxVWHW8gd+/vp/87Aw+f/t8MjNi+8dIMilkiYjEWW/Tib0FLTgftgY8jahulqQQY892/wfT5w54qrDD7eXldcd4bvVhpo8v5Ct3LiTXYU9AlYMnPVeSiYikicIcS5cAVJRtBIOR//NGj85UIGj1tQ6rodUc8JE9Ignl9cD+XQCY0+dG/DLTNNl5uI53t53C7fXx0Wunc8ncirRdhxVKnSwRkQToa++somwjoq0dune1+utyqZslSXV4P0ZHO2ZufsQbkJ4408JvX6vi5XXHmDWxmO/cu4xL540aEgEL1MkSEUma0K5WIGj11tXqS32bGfFZiSKJYuzb4f9g2ux+NyCta27n3W2nqDreyLiyXL58x0Kmji1MfJGDTCFLRCRBls0sDHaTuk8bBoSbPoToF7c3tPq6dM7W7m6IaU8vkYiYPqjqPKtw2pxen+bs8PDezmq27j9LQW4G994wg2WzyrEMkc5VdwpZIiKDJNKg5X/u+b90dDehpLyTxzBamjEzs2DC5B6f9vlMth86x9+3n8Y0TW6+dCJXLRpLhj197xyMhEKWiEgChXaz+hIuaAVE0t3qa8pQ3SxJtOBU4eQZYO0aLWrq2nh1w3Gq69q4cHY5t62opCA3MwlVDj6FLBGRBItk2hDOb/HQX9jqT/cpQ5GEC2xAOmVW8CGfz2T9nhpW76hmVEk2/37nBUweU5CsCpNCIUtEZJD1FbSg766WSMqpP4dxphrTsPg7WUCL083z7x3h5JkWrl02ng9cMhGbdfgF/+H3JxYRSYLu03X9dZoC2zx03+4hWtrOQRKmc28sxk0ERzbnmtr5/etVNDtd3H/HQj64onJYBixQJ0tEJGn662iF6m8qUSRZjJCpwuq6Np566wDF+Zn82+3zKc7PSnJ1yTU8o6WISBKEW3xemGMZ0Pqp3jpbkXS71M2SuHN1wNEDADSNmszT7xykYoR//dVwD1igkCUiMqh6u8svELYiDVz9TSdG2iETicmRAxheL76CIv60sxlHpo1/vW0e2VnpfeZgvChkiYikmIF2t0SSxTiwB4Dj+WNpbnPz+dvnkZ+dkeSqUod+ikVEBlmke1YlImhpylDixjThoD9kbfCM4EMrp1AxIifJRaUWhSwRkSRIZtASiYv6sxgNdXgNC5lTprFi/qhkV5Ry9NMrIpLiNH0oKenQPgBOZo3kn66fgzFEzx+MhX5qRUSSZKBH3QwkbPX1PE0ZSjx4qvxThRnTZmiasBcKWSIiSRTNmYL93Ymorpckmun1YBzZD8D8VRcnuZrUpc1IRUTSmAKVJMOxrXuY6HVjZjnIq5yY7HJSln46RUSSLJpuVqw0ZSjRcnZ4qN64DYC8GTMxLIoSvdHIiIikgGQELZFovLn5BGNaTwGQPWNGkqtJbQpZIiIpQkFLUt3+E43sO3SWMe1nAHBMV8jqi0KWiEgKUdCSVOXs8PD6xuNcXOLC8Hqw5ueTUaG9sfqikCUiMkxpXZYMxNtbT+L1+Vg5ogMAx9Rp2hurHwpZIiIpprdu1rKZhep0SVIcr21hx6E6blsxGY4eBPwhS/qmkCUikoL6ClMKWjKYfD6TNzedYNKofC6ZPRLnwQMAZCtk9UshS0QkRXUPU6HTe+pqyWDZfaSO2gYnH145BffJE5gdHViys8kYNTrZpaU8hSwRkRTWX5BS0JJE8vlM3t9VzQVTS6kcXYDzgH+Xd0flZO2PFQGNkIhIilPQkmTZe6yehhYXN1w4ASAYsrImT0liVelDIUtEJA30Nz2ooCWJsHn/WWaML2J8eR4A7Z3rsRwKWRFRyBIRGSIUtCSeauudnDrbyuUL/Guv3HV1eOrrwWIha4LOK4yEQpaIyBAykKClUCZ92Xn4HLkOO/OnlADQfsi/dUPmmLFYMjOTWVrasCW7ABERia9AeOpts1GFK+mPz2ey91gDS2eWYbP6+zHth/0hK2vipGSWllbSvpPV0NDA17/+dS699FIWLlzIhz/8YTZu3JjsskREki5cmFLAkkicPNtKi9PN0hllwcfaDx0CIGuSQlak0r6T9W//9m+cOXOG733ve4wYMYLf/va3fPzjH+fZZ59lkr4RRGSYU6iSaFQdb6AwN4NJo/MBMH0+2o8eAdTJGoi07mQdPXqU9957j29+85ssWrSIiRMn8h//8R+MHDmSF154IdnliYiIpB3TNDl4qpEFU0uxdJ5N6Dp9GtPlwsjMJKO8IskVpo+0DllFRUX8/Oc/Z86cOcHHDMPAMAyampqSWJmIiEh6OtfUTkOLi3mVJcHH2o8cBiBr/ARtQjoAaT1dmJ+fz2WXXdblsVdffZWjR4/y7//+71Ff12aL/hvI2rlAMPBeIqexi43GL3oau+hp7KKXimNnGAbHz7RgtRjMmlQc/PvQdewIAI6JE2L6O3K4SeuQ1d3mzZv5yle+wtVXX82KFSuiuobFYlBUlBNzLfn5jpivMVxp7GKj8Yuexi56GrvopcrYGQbYM6ycOudk6rgiykfmBz934vRJAEbMnBaXvyOHiyETst544w2+8IUvsHDhQh566KGor+PzmTQ1tUX9eqvVQn6+g6YmJ16vL+rrDEcau9ho/KKnsYuexi56iRi7WAKQaYLb5eVETTMXza2gvr7V/7jPR8sh/3Sht6Q8+PhwFuk4D4mQ9bvf/Y7vfOc7XHPNNfz3f/83GRkZMV3P44n9m93r9cXlOsORxi42Gr/oaeyip7GLXiqNnbPDQ2Ori7GlucGaXDU1+NrbMWw2rCVlKVNrOkj7idU//OEPfPvb3+aOO+7ge9/7XswBS0REZLiqa2oHYFTJ+U5Nx/FjAGSMGYthtSalrnSV1p2sw4cP85//+Z9cddVV3HfffZw9ezb4uaysLPLy8pJYnYiISHppaHEBUFqYFXys48RxADLHjElKTeksrUPWq6++itvt5vXXX+f111/v8rmbb76ZBx54IEmViYiIpB+310d2po2sjPPxoOPkCQAyRytkDVRah6x/+Zd/4V/+5V+SXYaIiMiQUZDbddmN60RnyBozNhnlpLW0X5MlIiIi8ZOXfT5k+To6cJ89A0CGOlkDppAlIiIiQXkOe/BjV/VpME2suXnY8vP7eJWEo5AlIiIiQTmhIevUKQAyRo1KVjlpTSFLREREgnJDQ9bpzpBVoZAVDYUsERERCQoNWR0KWTFRyBIRERHABCDHcX7jAffp0wBkVFQkpaJ0p5AlIiIi+PwZK3h3oen14jpTC0BGeXmyykprClkiIiKCrzNlBaYL3WfPgteLYbdjKypOZmlpSyFLREREggJbOLhqqgGwjyzDsCguREOjJiIiIkGBLRzctZ1ThWVlySwnrSlkiYiISFB2pn/hu7tzPZa9dGQyy0lrClkiIiISZLEYQEjIGqlOVrQUskRERKSH4HThSHWyoqWQJSIiIl2Ypon73FkA7CWlSa4mfSlkiYiISBfexkZMtxsMA1tRUbLLSVsKWSIiItKF++wZAGxFxRg2Wz/Plt4oZImIiEgX56cKS5JcSXpTyBIREZEuPOfOAWAfoZAVC4UsERER6cJdVweArVjH6cRCIUtERES68NT5O1m24hFJriS9KWSJiIhIF4FOll2drJgoZImIiEgXnnpNF8aDQpaIiIgE+VwufK2tANgKtUdWLBSyREREJMjT0ACAkZGBJTs7ucWkOYUsERERCfI01AP+LpZhGEmuJr0pZImIiEiQt7ERAFtBQZIrSX8KWSIiIhLkaWwAwFpQmNQ6hgKFLBEREQkKrMlSJyt2ClkiIiIS5G3SdGG8KGSJiIhIkKepGQBrvkJWrBSyREREJCjQybLm5yW5kvSnkCUiIiJB3mZ/J8umTlbMFLJERETEzzTxNjcBYM1TJytWClkiIiICQIbpwfR4ALDmKmTFSiFLREREAHB424HOI3UyM5NcTfpTyBIREREAsr0dgLpY8aKQJSIiIsD5TpY1NzfJlQwNClkiIiICgMPnAsCao5AVDwpZIiIiAkBW53ShJScnyZUMDQpZIiIiAoAjsCZLISsuFLJEREQEgKzgdKFCVjwoZImIiAhwPmRpujA+FLJEREQEgExvZyfLkZ3kSoYGhSwREREBIM/i3+3dkq2QFQ8KWSIiIkJhbiajcv2xQCErPhSyREREBLvNgsXVeXehw5HkaoYGhSwREREBwOdsA8CiNVlxoZAlIiIiAPja/cfqWBxZSa5kaFDIEhEREUzTBNMEwJKl6cJ4UMgSERGRYMDCYsHIyEhuLUOEQpaIiIiA6QPAkpWFYRhJLmZoUMgSERER8AWmCrUeK14UskRERMS/JguwZCpkxYtCloiIiIQselfIiheFLBEREQH8IcvIzExyHUOHQpaIiIic72QpZMWNQpaIiIic38FB2zfEjUKWiIiIBFOWpgvjRyFLREREzk8XqpMVNwpZIiIicr6TlaFOVrwoZImIiIg6WQmgkCUiIiIEt3CwK2TFi0KWiIiIBO8uNDLsyS1kCFHIEhERkfPThepkxY1CloiIiIQsfFcnK14UskRERCRIa7LiRyFLREREzney7OpkxUvahyyfz8ePfvQjLrnkEubPn88///M/c/z48WSXJSIiklZMAmuyFLLiJe1D1sMPP8wf/vAHvv3tb/PEE0/g8/m49957cblcyS5NREQkfQTuLrQpZMVLWocsl8vFL3/5Sz73uc+xYsUKpk+fzve//32qq6t57bXXkl2eiIhI+ghOF9qSXMjQkdYha+/evbS2trJ8+fLgY/n5+cycOZMNGzYksTIREZF00xmybApZ8ZLWI1ldXQ1ARUVFl8dHjhwZ/Fw0bLbos6fVaunyXiKnsYuNxi96Grvoaeyil3Jj1zldaMvKiOnvQTkvrUOW0+kEIKPbOUuZmZk0NjZGdU2LxaCoKCfm2vLzHTFfY7jS2MVG4xc9jV30NHbRS5WxMywWDLudkrEV2HJj/3tQ0jxkZWVlAf61WYGPATo6OnA4ovum9flMmpraoq7JarWQn++gqcmJ1+uL+jrDkcYuNhq/6Gnsoqexi14ixi6WJoG1oICJX/8mzW6gvjUu9QxVkY5zWoeswDRhbW0t48aNCz5eW1vLtGnTor6uxxP7N7vX64vLdYYjjV1sNH7R09hFT2MXvVQZO8NqxVYxOiVqGSrSetJ1+vTp5Obmsm7duuBjTU1N7N69m8WLFyexMhERERnu0rqTlZGRwZ133slDDz1EcXExo0eP5sEHH6S8vJyrr7462eWJiIjIMJbWIQvgc5/7HB6Ph6997Wu0t7ezePFiHn/8cezasVZERESSKO1DltVq5Ytf/CJf/OIXk12KiIiISFBar8kSERERSVUKWSIiIiIJoJAlIiIikgAKWSIiIiIJoJAlIiIikgAKWSIiIiIJoJAlIiIikgAKWSIiIiIJoJAlIiIikgAKWSIiIiIJoJAlIiIikgAKWSIiIiIJoJAlIiIikgCGaZpmsotIJaZp4vPFNiRWqwWv1xenioYXjV1sNH7R09hFT2MXvXiPndUafe/E6/VRV9cat1qGstLSvIiep5AlIiIikgCaLhQRERFJAIUsERERkQRQyBIRERFJAIUsERERkQRQyBIRERFJAIUsERERkQRQyBIRERFJAIUsERERkQRQyBIRERFJAIUsERERkQRQyBIRERFJAIUsERERkQRQyBIRERFJAIWsODl9+jT/9m//xkUXXcTixYv5+Mc/zv79+7s85+qrr2batGld3r785S8nqeLUEcnYvfzyy1x33XXMnTuXD3zgA6xZsyZJ1aaur3/962G/n+65554e33d33XVXEipMbb2N35o1a7jllluYN28e11xzDS+99FISqkt9mzZt6vF9Nm3aNNatW5fs0lKOz+fjRz/6EZdccgnz58/nn//5nzl+/Hiyy5IEsCW7gKHA5XLxiU98gsLCQn72s5+RlZXFj3/8Yz7ykY/w4osvUlxcTFtbG8ePH+fRRx9l1qxZwddmZWUlsfLki2Ts1q5dyxe/+EW+9KUvcdFFF/HnP/+ZT3ziEzz33HNUVlYm+4+QdD6fjx/84Ac8+eST3HzzzT0+v2/fPr75zW9y5ZVXBh+z2+2DWWJK62v8Dh48yH333cc999zDgw8+yNtvv82XvvQliouLWb58eZIqTk379u1j3Lhx/OEPf+jyeEFBQZIqSl0PP/wwf/jDH3jggQcoLy/nwQcf5N577+WFF14gIyMj2eVJHClkxcHGjRupqqri3XffpaysDIAHH3yQpUuX8re//Y0PfvCDHDhwAJ/Px4IFC/RLJ0QkY/eLX/yCK6+8krvvvhuA+++/ny1btvDrX/+ab33rW8ksP+kOHjzIV7/6VY4ePcqoUaN6fP7cuXOcO3eOefPmUVpamoQKU1t/4/frX/+aadOm8fnPfx6AyspKdu/ezWOPPaaQ1U1VVRWTJ0/W91k/XC4Xv/zlL/nCF77AihUrAPj+97/PJZdcwmuvvcYNN9yQ3AIlrjRdGAdTpkzh5z//eTAkAFgs/qFtamoC/P/KKykpUcDqpr+x8/l8bN68ucdfaEuXLmXDhg2DWmsqWrt2LZWVlbz44ouMGTOmx+f37duHYRhMnDgxCdWlvv7Gb+PGjT2+95YtW8amTZswTXOwykwL+/btU2c5Anv37qW1tbXL91V+fj4zZ87U77QhSJ2sOCgtLeWyyy7r8thvf/tb2tvbueiiiwD/L6Ds7Gw+97nPsXnzZoqKirj11lu5++67g6FiOOpv7Jqammhra6O8vLzLc0aOHEl1dfVglpqS7rjjjj4/X1VVRV5eHt/61rd47733yM7O5pprruFTn/qUpiXof/yqq6vDfu85nU7q6+spLi5OZHlpZf/+/RQVFXHLLbdQU1PD1KlT+fznP8/cuXOTXVpKCfzeqqio6PK4fqcNTQpZEThx4gQrV67s9fNr1qzp8sv29ddf53/+53/46Ec/yrRp0wD/L6CmpiZWrVrFpz/9aTZt2sSDDz5IY2Mj//qv/5rwP0OyxDp2gV863QNBZmYmHR0diSk6RQx07MKpqqqio6ODuXPncs8997Bnzx6++93vcurUKb773e/Gu+SUEo/xa29v7/G9F/hvl8sVe5Fpor+xfPvtt2lubqatrY2vfe1rWK1Wfve733HnnXfyzDPPMHny5EGsNrU5nU4g/O+0xsbGZJQkCaSQFYGysjL++te/9vr50CnAP/7xj3z729/mpptu4ktf+lLw8V/84hd0dHSQl5cHwLRp02hpaeGRRx7hs5/97JDtZsU6dpmZmUDPv9A6OjpwOBwJqDh1DGTsevOtb32L+++/P/jcqVOnYrfb+fznP8+XvvQlSkpK4lZvqonH+GVmZvb43gv891D//gvV31iOHDmSDRs24HA4gjdVzJkzh927d/Pb3/6W//f//t9glZryAjc7uVyuLjc+DYffacORQlYE7HZ7RGsNHnzwQR577DHuuece7r//fgzDCH4uIyOjx79cpk6dSltbG42NjRQVFcW97lQQ69gVFhaSnZ1NbW1tl+fX1tZ2Wcc1FEU6dn2x2Ww9wsSUKVMA/7TFUA5Z8Ri/ioqKsN972dnZwX8wDQeRjGV+fn6X/7ZYLFRWVlJTU5PI0tJOYJqwtraWcePGBR+vra0NznzI0DE02ydJEAgJ999/P1/+8pe7BCzTNLnyyiv5yU9+0uU1O3bsoLS0dMgGrEj1NXaGYbBw4ULWr1/f5TXr1q1j0aJFg11q2rnrrrv4yle+0uWxHTt2YLfbmTBhQnKKSiOLFi3q8b23du1aFi5cOGS7z9F49913WbBgQZe9njweD3v37tVUYTfTp08nNze3y/5hTU1N7N69m8WLFyexMkkEdbLiYN26dTz22GPcdddd3HjjjZw5cyb4uezsbHJycrjqqqt4/PHHmTRpErNnz2bNmjU89thjfPWrX01i5ckXydjdc889fOITn2DmzJlceumlPP300+zZs4fvfOc7Saw8PaxatYr//M//ZO7cuVx88cXs2LGD7373u3z84x8nNzc32eWlvLvuuoubb76Zhx56iJtvvpl33nmHV155hcceeyzZpaWUhQsXUlRUxP3338+///u/Y7fb+fnPf05DQwMf/ehHk11eSsnIyODOO+/koYceori4mNGjR/Pggw9SXl7O1VdfnezyJM4MU/chx+w//uM/eOqpp8J+7jOf+Qyf/exn8Xg8PProozz77LNUV1czZswYPvaxj3H77bcPcrWpJZKxA3juued4+OGHqa6uZvLkyXzxi1/UPkXd3HXXXYwePZoHHnigy+O///3v+f3vf8/x48cpLS3l9ttv5xOf+IQ6Md30Nn7vvvsuDz74IEeOHGHMmDF89rOf5brrrktSlanr2LFjPPTQQ6xbt46Ojg4uuOAC7r//fqZOnZrs0lKO1+vle9/7Hs888wzt7e0sXryYr3/962G3EZH0ppAlIiIikgD6p6yIiIhIAihkiYiIiCSAQpaIiIhIAihkiYiIiCSAQpaIiIhIAihkiYiIiCSAQpaIiIhIAihkiYiIiCSAQpaIiIhIAihkiYiIiCSAQpaIJIRpmvzyl7/k6quvZvbs2VxyySX88Ic/RCd5ichwoZAlIgnx3e9+l+9+97tccMEFfO1rX2PBggU8/PDDvPzyy8kuTURkUOiAaBGJu+PHj7Nq1Sruu+8+/vVf/xUAt9vNkiVLuP322/nKV76S5ApFRBJPnSwRibs33ngD0zS56667go/ZbDYAsrKyklWWiMigUsgSkbjbtm0bkyZNori4OPjY3r17aWtrY9q0aUmsTERk8ChkiUjcVVVVMX369C6PPfbYY2RmZnLhhRcmqSoRkcGlkCUiceVyuTh69CjTpk3D6XSybds27r//fl588UXuvfdeCgsLk12iiMigsCW7ABEZWg4dOoTH42HatGn88pe/5Ec/+hEAEydO5O67705ydSIig0edLBGJq3379gEwbdo0rrrqKr7//e/zsY99jJqaGm6//Xba29sBqKur4xOf+ATz589n1apVrFmzJplli4jEnTpZIhJX+/fvp7CwkPLycsrLy5k6dSrXXXcd06ZN4/7772f79u0sWbKE//f//h8lJSWsWbOG999/n//zf/4Pr776qqYTRWTIUCdLROKqqqqKqVOn9njc5/MBUFpaSmtrK2+++Saf+9zncDgcrFy5kqlTp/Lmm28OdrkiIgmjkCUicVVVVcWZM2dwuVzBx1wuF7///e+ZMWMGEydO5OjRo2RnZ1NeXh58ztSpUzlw4EAyShYRSQhNF4pI3DQ3N3P69GkA7rzzTj7wgQ/Q0dHBCy+8wIEDB/jd734HQFtbG7m5uV1em5ubS319/aDXLCKSKOpkiUjcVFVVAXDbbbdRW1vLf/7nf/Kb3/yGsWPH8tRTTzF37lwAsrOzaWlp6fLalpYWcnJyBr1mEZFEUSdLROImELK+/OUv9+hUhRo/fjxtbW3U1NRQVlYWfO0HPvCBwShTRGRQqJMlInGzf/9+ysrK+gxYADk5OVxxxRX86Ec/or29nbfeeouqqipWrlw5SJWKiCSeQpaIxE1VVRWTJ0+O6Lnf/OY3qa2tZenSpTzwwAN8//vf1/YNIjKkaLpQROJm//793HTTTRE9t7i4mF/84hcJrkhEJHkM0zTNZBchIiIiMtRoulBEREQkARSyRERERBJAIUtEREQkARSyRERERBJAIUtEREQkARSyRERERBJAIUtEREQkARSyRERERBJAIUtEREQkARSyRERERBLg/wcMqmyKapa/vwAAAABJRU5ErkJggg==", "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", " [-10.94139483 5.02655264]\n", "sample_cov(beta):\n", " [[ 5.55949878 -2.84410312]\n", " [-2.84410312 1.73167577]]\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)= [-31.69607061 17.54685413]\n", "cov(p)= [[ 1748.98545671 -1081.72138611]\n", " [-1081.72138611 672.4002813 ]]\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", " Y = 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, Y)\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", " Xs = [X[Y==i] for i in range(2)]\n", " Ns = [len(Xs[i]) for i in range(2)]\n", "\n", " ps = []\n", " for _ in range(Nsamples):\n", " # to the groups stratified sampling\n", " \n", " # stratified sampling with replacement\n", " Xb = [rng.choice(Xs[i], Ns[i]) for i in range(2)]\n", " Yb = [np.full(Ns[i], i) for i in range(2)]\n", " \n", " Xb = np.concatenate(Xb)\n", " Yb = np.concatenate(Yb)\n", "\n", " tmp = linear_model.LogisticRegression(penalty = penalty).fit(Xb, Yb)\n", " pfit = np.insert(tmp.coef_, 0, tmp.intercept_)\n", " \n", " ps.append(pfit) \n", " ps = np.array(ps)\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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", "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" ] }, { "data": { "text/plain": [ "
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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 3.27 s, sys: 2.35 s, total: 5.62 s\n", "Wall time: 2.89 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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", "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_23628/878945397.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 10.3 s, sys: 1.86 s, total: 12.1 s\n", "Wall time: 9.93 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 }