{ "cells": [ { "cell_type": "markdown", "id": "928c1b68", "metadata": {}, "source": [ "# GUIDE and CART regression trees on the diabetes data\n", "\n", "This notebook compares `GuideRegressor` with scikit-learn's `DecisionTreeRegressor` (CART) on the diabetes dataset bundled with scikit-learn: ten baseline variables for 442 patients and a measure of disease progression one year later.\n", "\n", "Besides piecewise-constant trees like CART's, GUIDE can fit a linear model in each leaf, which often gives a smaller tree that fits as well, and it can fit quantile trees." ] }, { "cell_type": "code", "execution_count": 1, "id": "03ea89aa", "metadata": { "execution": { "iopub.execute_input": "2026-11-02T22:20:53.899422Z", "iopub.status.busy": "2026-11-02T22:20:53.898969Z", "iopub.status.idle": "2026-11-02T22:20:55.514588Z", "shell.execute_reply": "2026-11-02T22:20:55.514147Z" } }, "outputs": [ { "data": { "text/html": [ "
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agesexbmibps1s2s3s4s5s6
00.0380760.0506800.0616960.021872-0.044223-0.034821-0.043401-0.0025920.019907-0.017646
1-0.001882-0.044642-0.051474-0.026328-0.008449-0.0191630.074412-0.039493-0.068332-0.092204
20.0852990.0506800.044451-0.005670-0.045599-0.034194-0.032356-0.0025920.002861-0.025930
3-0.089063-0.044642-0.011595-0.0366560.0121910.024991-0.0360380.0343090.022688-0.009362
40.005383-0.044642-0.0363850.0218720.0039350.0155960.008142-0.002592-0.031988-0.046641
\n", "
" ], "text/plain": [ " age sex bmi bp s1 s2 s3 \\\n", "0 0.038076 0.050680 0.061696 0.021872 -0.044223 -0.034821 -0.043401 \n", "1 -0.001882 -0.044642 -0.051474 -0.026328 -0.008449 -0.019163 0.074412 \n", "2 0.085299 0.050680 0.044451 -0.005670 -0.045599 -0.034194 -0.032356 \n", "3 -0.089063 -0.044642 -0.011595 -0.036656 0.012191 0.024991 -0.036038 \n", "4 0.005383 -0.044642 -0.036385 0.021872 0.003935 0.015596 0.008142 \n", "\n", " s4 s5 s6 \n", "0 -0.002592 0.019907 -0.017646 \n", "1 -0.039493 -0.068332 -0.092204 \n", "2 -0.002592 0.002861 -0.025930 \n", "3 0.034309 0.022688 -0.009362 \n", "4 -0.002592 -0.031988 -0.046641 " ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from sklearn.datasets import load_diabetes\n", "from sklearn.model_selection import GridSearchCV, KFold, cross_validate, train_test_split\n", "from sklearn.tree import DecisionTreeRegressor\n", "from sklearn.tree import plot_tree as plot_cart\n", "\n", "from guide import GuideRegressor, plot_tree\n", "\n", "X, y = load_diabetes(return_X_y=True, as_frame=True)\n", "X.head()" ] }, { "cell_type": "markdown", "id": "b98abd07", "metadata": {}, "source": [ "## Piecewise-constant trees" ] }, { "cell_type": "code", "execution_count": 2, "id": "24ae3757", "metadata": { "execution": { "iopub.execute_input": "2026-11-02T22:20:55.515753Z", "iopub.status.busy": "2026-11-02T22:20:55.515674Z", "iopub.status.idle": "2026-11-02T22:20:55.805209Z", "shell.execute_reply": "2026-11-02T22:20:55.804768Z" } }, "outputs": [ { "data": { "image/png": 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eX6WJ2n5JQYEnBcJ1LIlMQRi9Zy8j0z/YoowslSNqNsb4BJ70PdN70OcZXbAsIZ9pIPtIoK8rCrZ5M48qS1X76QsvvOBmx7v88sujfIf9y3gBAEgoejwBABJNJ1A6QXruuedswYIFAT1GpVc6AVUWTuQMBwUp1PtEgQldkU8IlfQNHDjQPf61116zhJo2bZpNnDgxoGVVEuOf1aPp5ZURo8BcINSzRYGU33//Pfw+BTOU5ZAY6mWjAJ//SbZH215ZOqIT2nXr1rkMpMS8fqDbQRk2Wjf1t3nppZfcz+prE5dbbrnF9Z5Rr6bIvPcSE5UwKaNKvY6OHTsWYX9RxolOvpUloiwZBWf8gysKYFaoUCH8NQJZJjb6rG+66Sa3j6kPj3r+RC4zVGBOr6FgpEfvXSWBCXHVVVe5gJ1/qZao5DHydy3Q186XL597bHTlttHx9gNl/fhTDzJl76jHV1JRKdm8efOi3K9sn8i9t7QPij4T/azPMT5UUqnPNLqeUfoeqRQuvp9pIPtIoK+rQJs/Ban0nZfI+6uyU5UZF98yWwAAokPGEwAg0XTCrRM1ZX00b97cndzqhE8nNvv373dZR8oE8e/9oxNVlSNdeeWVLrNAJ1fK+FHWyYcffuj657z33nsBvf6qVavc6+skSye/KidRkEWNsqdOneqeP6bHRKaTaGVDeAYPHuyCEoE02dV7URNknczpBFHZOypzefLJJwPORrnhhhtcBoICQurLNH78eOvatav9/PPPllAqy1H50HXXXedKwhRc0WemHlzKylGJmzIe7rzzTvezAn4PPfSQC8Do9ZWxE5/G8PHZDnfccYe98sorrneNSokCyXBTQFF9ntQ8WaVJKhfUZ6QeUirf0/uMjTJDFCBSAErvWfuNF3jxGjkrS0bro/ei5uQqj1MfJ22zkSNHBrxMIEG0//73v27bqO9S5OboCswp4KBSVa2rgl3KelFfKZX2xVfLli1t0KBBrrxK2UX6bigDR5915PLDQF9bJYdt27Z1AceyZcu675D25ci9mTza/5544gnXxF49iXTMUJaRvvc6hnjluUlB+76+5/q+Bzt7R/uA9h/t0+qrpO+A+kcpkK7vld6bmrjH9zONax8J9HW1vVVOqNdV0F/H5qFDh7pG+JqkwJ+Cwdq3vdJdAAASg8ATACBJ6ERHV+xVLqIMIWUZKHiiYFKzZs1cDxGVefjTCacybBQk0onnwoULXemNSq+UReV/0qMglk6E/E8evfuUwaHnUOBA66GTXp1sqnl15DKgyI+JTI/1Ak8XLlxwjaAVlAn0pF4nfcoQ0snkM888404yVTLoUbaDXj+mmbYUBFKPoH/++cedGCoLQwEoBe78y+9ieh5tA91frVq1CPcr60sn4eoro+wjbScto8/JC/bosVOmTHE9YLSMZgVTgEIzYykDQiU9sfHWSYGruLaDR+9NJ8LaZ+JqKh65R48yYxRs0rZRJpMClV6GRmzbWfuQAhHKelKGnvYRnZwr+OmVVilIqmCd9mntmypl0nbQ/up9DoEsExcFah599FEXcI0u4KIyK32nFBjTTIVaXsFA7Rt6Ta9Uzfvc9fqe6O7zMo3Uv0jBBQWFtf2VhaRyTP8gbaCvLQqcKItKn4W+9/oOKfAU0zoo2KiAqj4/ZfNoH9S+5/9dU8aNHhu5Ebpo/4quhDWynj17un1D+7QadMdG+4pez785fExiel+aIU5BOO0T2re0nJ5P28173vhs10D2kUBfV837FbBVqaUC8trXFdCKHGDSsUdBVV0YAAAgKYT5EtoZEgCANE7ZNAomqVQsciDHn4ImynrRSbyybxA/Xo8aBT6UPQMkJQVAH3zwQVduGp+eTemV12MrPlmOAADEhh5PAADEQM2GlXEUW9AJiaMMDGVXKCOKoBOCQZlsyuhSIBmxU9aVGuYH0uQfAIBAkfEEAEAikfEUfyp1U1+nN9980zVZ1s9xzcgFAACA1IeMJwAAEimuvk2ISj1uVMqjXkMqUSToBAAAkDaR8QQAAAAAAICgIOMJAAAAAAAAQUHgCQAAAAAAAEFB4AkAAAAAAABBQeAJAAAAAAAAQUHgCQAAAAAAAEFB4AkAAAAAAABBQeAJAAAAAAAAQUHgCQAAAAAAAEFB4AkAAAAAAABBQeAJAAAAAAAAQUHgCQAAAAAAAEFB4AkAAAAAAABBQeAJAAAAAAAAQUHgCQAAAAAAAEFB4AkAAAAAAABBQeAJAAAAAAAAQUHgCQAAAAAAAEFB4AkAAAAAAABBQeAJAAAAAAAAQUHgCQAAAAAAAEFB4AkAAAAAAABBQeAJAAAAAAAAQUHgCQAAAAAAAEFB4AkAAAAAAABBQeAJAAAAAAAAQUHgCQAAAAAAAEFB4AkAAAAAAABBQeAJAAAAAAAAQUHgCQAAAAAAAEFB4AkAAAAAAABBQeAJAAAAAAAAQUHgCQAAAAAAAEFB4AkAAAAAAABBQeAJAAAAAAAAQUHgCQAAAAAAAEFB4AkAAAAAAABBQeAJAAAAAAAAQZEpOE8LAADSqtOnT9uOHTvs7NmzoV4VJKOMGTNa3rx5rXjx4hYWFsa2BwAAASHwBAAAAnLo0CEbMWKErVy50i5cuMBWS6eKFCliHTp0sNatW4d6VQAAQCpA4AkAAMTpyJEj9s4777iAU+/eva1atWqWPXt2Ml/SkYsXL9qePXts7ty5Nnz4cDtz5ox16tQp1KsFAABSOAJPAAAgTjNmzLCTJ0/aU089ZYUKFWKLpVP67GvWrGl58uSxCRMmWKtWrVwAEgAAICY0FwcAAHFavHix1atXj6ATnPbt27vst+XLl7NFAABArAg8AQCAWF26dMn27dtn5cqVY0vBKViwoGs0vnfvXrYIAACIFYEnAAAQZ28fn89nWbJkYUshXObMmWkyDwAA4kTgCQAAAPEWFhbGVgMAAHEi8AQAAIJm586dVqlSpSi3QYMGpcqtfurUKXv66aetQYMGVr9+fXv88cftxIkTSfrYQJfbtWuXvfbaa24ZbdPEvG5a+5wAAEDKwax2AAAgaM6fP28bN2600aNHW926dcPvz5UrV6rc6n369LHt27fbRx99ZBkzZrR7773X5s2bZ7///nucGUCBPjaQ5fbs2WNNmza1gQMHWuPGje3TTz9N1Oumtc8JAACkHASeAABA0JUqVSrWrJyE+Oeff+z777+3O+64I0KwJFgUqJk6dar9+++/Ltgjw4YNszp16tjkyZOta9euiX5soMsVLlzYNm/e7AJJynpKqnUOxucEAADSN0rtAABAgqlkS2Vcl19+uSvjuvXWW23Tpk1B26Lr1q2zZ5991ipUqGCtW7e2DRs2WIECBSw5/Prrr1a0aNHwAI7Url3bypQp436XFI8NdDkFnHQL5joDAAAkBTKeAABAgqkH0MKFC+2dd96xIkWK2JIlS+w///mPTZ8+PcJyd955p5sBTQGP7t27u2UyZQpsGLJ//34bMWKEy25SiVijRo1s8ODBNmDAACtWrFiEZRX06tixY5zPOXLkSNfzKL5Br4oVK0a5X/fpd0nx2MS8RlKsc2I+JwAAgOgwkgAAAAm2YMECu/rqq61Dhw7h2TTqO+RP5VwKaJQuXdrmzp3rMqTGjh1rv/32m2XIEHPy9cGDB+3GG290pWIKlFxzzTX2ww8/xFoKpteYMmVKnOutkrL4On78uOXMmTPK/eqDtG/fviR5bGJeI7HrnNDPCQAAIDYEngAAQIJdddVV9sYbb9ihQ4esffv21qJFC8ubN2/47xXE8C/pUi+mkiVLWo8ePVyPoW7dusVaxjdr1izLnDmzde7c2bp06RJn/yEtm9geRRcvXrSqVauG/5wnTx5btGiRZcuWzc6ePRtled2n38Um0Mcm5jUS87qJ+ZwAAABiw+UrAACQYM8995xNmjTJlWP997//deV2KoPz+Xzu99H1IWrbtq37d9WqVbE+d9myZW3v3r325ZdfurIw9ZGqXLmye821a9dG+xiV2inwFNdN5YEx0Tora8q7KevHC87s3LkzyvK6T7+LTaCPTcxrJOZ1E/M5AQAAxIaMJwAAkCjKctJNlKGkpt/KhGrVqlW0y2/cuNH9q6bXccmePbsrsdNNpWE//vij6/X04osvuh5NKuu7/fbbLXfu3Elaahdd1pTe11dffeWCNsoGEq3TmjVr7L777ov1+QJ9bGJeIzGvm9jPCQAAICZkPAEAgAS79957bfXq1eE/q+RO8ufP7/79+OOPXaNxla/J5s2bXcNqNQXv2bNnvF5L2VQKlsyfP98FTlR+N2TIEFu6dGmUUru4bgkpW1MwTU23H3roITt37pydP3/eHnnkEReY8e9rtW3bNvcaCpLF97GBLpfU65yUnxMAAIA/Ak8AACDBmjdvbv369XOBJgUp1JxaQYxatWq537ds2dI++OADy5cvnxUvXtyqVavmso3++uuvCL2g4ks9mFTap9K6Jk2aJMsnqOwrlRWuX7/eBcG8WfzUA8m/gbcCPMoWOnr0aLwfG+hy3rZVgOutt95yP3tBNf+AV6DPF6zPCQAAIMznNWEAAACIhrJklNl08803W9OmTaPdRkeOHHHLFSpUyMLCwqL8XsGYAwcOuOBUWpghTeVqGkJFV4am7bB161YX5FFj8vg8Nj7LbdmyxS5cuBDl/sS8bnw+J816p3LH3r17x7ocAABI3+jxBAAAEk2ZMrHJkiWLlShRIs1saQV3EjqzXmyPjc9y5cqVC+h54vO6ae1zAgAAoZf6LzkCAAAAAAAgRSLwBAAAAAAAgKAg8AQAAAAAAICgIPAEAAAAAACAoCDwBAAAAAAAgKBgVjsAAIAkcODAAXv77bctT5489sQTTyR4uX///dfmzJlj586dszp16linTp34fAAAQKpFxhMAAEASuOOOO1xA6cMPP0zQcqdOnbImTZq4QNOGDRts//79dvPNN1uLFi3s2LFjfEYAACBVIvAEAACQSN99950tXLjQBg4cmODlFHg6f/68rVy50oYOHWpvvvmmzZs3z5YsWeL+DwAAkBpRagcAAFKlV1991Zo3b2758+e3P//8006ePGlt2rSxpk2bJut67NixwwYPHmwjR460CRMmJHi5XLly2fTp061AgQLh95UqVcqqV6/ugk8AAACpEYEnAACQKqlUbdiwYZYlSxbr1q2b7d2715555hn79NNP7ZZbbon1sT/++KMtXbo01mUqV65st956a6zL+Hw+Vw7Xu3dv69ixY4yBp0CWy5Ytm7v5O3HihK1bt84F2AAAAFIjAk8AACDVypw5sy1YsMD9K7lz53ZlaXEFnnLmzGn58uWLc5lAgl8rVqywUaNGJclykT3yyCOuBC+uABgAAEBKReAJAACkWj169AgPOkndunXtk08+CehxuiWGMpEee+wx+/777125X2KXi2zIkCHuvajfU61atRK1rgAAAKFC4AkAAKRa6ovkL1OmTHbhwoU4H5cUpXZqFJ49e3b7999/3U3mzJnjZqB7/PHHXflfy5YtA14u8nPfd9999uKLL9o999wT5/sBAABIqQg8AQCAdCcpSu3UqynyMlmzZrWwsDD33Pp/fJbzjBs3zvWDUpaUelYBAACkZgSeAABAupMUpXbKUoqcqaSZ67Zt2+YymeK7nEybNs0GDBhggwYNcrP2AQAApHYEngAAAFKAPXv2uFnvVD6oLCj/oFSpUqXs3nvvDen6AQAAJASBJwAAkCo9+eSTVr9+/Qj31atXz1555ZWQrVPPnj2tevXqCVouS5YsMZbWabY+AACA1CjM5/P5Qr0SAAAg5Tp//rzLtlHfoaZNm4Z6dZBCPP3009agQQOXpQUAABCTDDH+BgAAAAAAAEgEAk8AAAAAAAAICgJPAAAAAAAACAoCTwAAICC0hQT7AwAAiC8CTwAAIFaZMmVyt5MnT7Kl4Fy6dMntD9myZWOLAACAWBF4AgAAsQoLC7MKFSrYypUr2VJwNm/ebKdPn7aKFSuyRQAAQKwIPAEAgDg1atTIVq9ebfPmzWNrpXMKOI0ePdry5ctnlSpVCvXqAACAFC7MR8MGAAAQQGnVsGHDbM6cOVa+fHmrXr26Zc+e3WVDIX24cOGC7d2715YuXer6fd13331Wrly5UK8WAABI4Qg8AQCAgINPCxYscLctW7bYmTNnol1GNwUmMmTI4G4Ep1K+QD63jBkzuiynOnXqWLNmzaxo0aIhW18AAJB6EHgCAAAJpkDFtm3bbP78+a4UT8EJBSZUmlekSBG2bCpy/vx518dL5ZS7d++2/PnzW8OGDa1evXouuw0AACAhCDwBAIB4O3funC1fvtwFnFR+VbBgQRdsUtCJmc5SfzBx586dLgClQJSyn2rVqmWNGze2YsWKhXr1AABAKkPgCQAABOzQoUMu2LR48WI7e/asVa1a1QWcNOsdJXVpz4kTJ2zRokWuvPL48eNWpkwZ93lXq1bNZbcBAADEhcATAACIMwNmw4YNLgNG/6rsSuVXCkCo5w/SPvV/WrNmjQs6qr9Xrly5rEGDBu6WO3fuUK8eAABIwQg8AQCAaJ0+fdqWLFnigg2HDx+24sWLu2BTzZo1LXPmzGy1dGrfvn0uCLls2TK7ePGiy35SGV7p0qXJegMAAFEQeAIAABHs2bPHBZsUWFCmS40aNVxgoWTJkgQWEE6zGnqBSZVgapY77SfqB0VgEgAAeAg8AQAAl7miWekURNAsdSqf0oxm9evXd2VVQGylmJs2bXJZUOvWrXPN5VWKqf2nQIECbDgAANI5Ak8AAKRjahi9cOFCd1Mj6bJly7qsFTUNp3k04kslmWpErobkyoiqXLmyK8+sVKkS2XIAAKRTBJ4AAEiHGSrbt2932U2rVq1yAabatWu7AIHKpYDEOn/+vK1YscJlQal0U5lPyoBSJpQyogAAQPpB4AkAgHQUDFi+fLkLOHnBAAWb6tatSzAAQQty7tixwwWgvCCnekApq44gJwAA6QOBJwAA0kH5k4JNixcvduVPVapUcQGnihUrUv6EZC3rVAmeyjr1f5V1aj+87LLLKOsEACANI/AEAEAazTTZuHGjyzRZv359eMNnnejnz58/1KuHdN7Ifs2aNS4YunXrVtfIvkGDBu5GI3sAANIeAk8AAKThKe6LFSvmgk1McY+UaO/evS44qhJQBaRq1Kjh9tdSpUqRjQcAQBpB4AkAgDRyAq9g07Jly9wJfPXq1d0JfOnSpTmBR4p3+vTp8ICpSkMVMFUfqJo1a1rmzJlDvXoAACARCDwBAJBKKcC0du1alzGikiWVKWnmsPr167vyJSC1l4hmz57dlYhqv6ZEFACA1InAEwAAqcyJEydcg2avSXOZMmVcdghNmpGWqFR0wYIFEZriaz+vUKECWXwAAKQiBJ4AAEhF09KrFGnlypWWIUMGq127tiunU1kSkFadP3/e9YBSFpRKSgsWLOj2+zp16rim+QAAIGUj8AQAQAo/6V6xYoULOO3evduVG+mku27duq4MCUhPwdft27e7ANTq1astY8aMLviqLKgiRYqEevUAAEAMCDwBAJACHTlyxAWbVGakxsuVK1d2AadKlSpRZoR0TyWmXrmpSk/LlSvnvh8qN1U2IAAASDkIPAEAkIIyOjZt2uQCTmoarjIiZTbphLpAgQKhXj0gRTbYV/aTvjPbtm2zPHnyWIMGDdwtZ86coV49AABA4AkAgNBT4+SlS5e6k+eDBw9a0aJFXbCpVq1aliVLllCvHpAq7Nmzx5XhqR+Ugrg1atRw36OSJUuSJQgAQAiR8QQAQIjs27fPBZsUdFLmRrVq1dyJsmapCwsL43MBEkClqSpR1XdLJaslSpRw36uaNWtapkyZ2KYAACQzAk8AACSjS5cuuTI6ZWZs2bLFcuXKFV4alDt3bj4LIAm/axs2bHABKP2rZvz169e3hg0bWr58+djOAAAkEwJPAAAkg5MnT9qiRYtswYIFduzYMStdurSbjUtZTpqdC0DwqIRV3z1lQp07d86qVKnivn/ly5cnuxAAgCAj8AQAQBDt3LnTZTetXLnSneCqb5PKfooXL852B5KZgk7qAaXvpEpdCxUq5L6PderUsaxZs/J5AAAQBASeAABIYhcuXLAVK1a4Ep9du3a5sh6d3NarV8+V+wAILTUf1yx4CkBpVrzMmTO74JO+p4ULF+bjAQAgCRF4AgAgiaiRscp5VFKnBseVKlVyJ7L6N0OGDGxnIAVS6evChQvdTSWxKr/T97Zq1ap8bwEASAIEngAASGTmxObNm112k5qGZ8mSxerWretOXAsWLMi2BVJRpqKyn5QFtWPHDsuTJ49rRK6G5Dlz5gz16gEAkGoReAIAIIF0gqqA04EDB6xIkSIu2FS7dm0XfAKQeqlEVt9tlcwquFyzZk33/S5ZsmSoVw0AgFSHwBMAAAn04osvulnpdEJatmxZZscC0phTp065mfBUQqtSWgWe9H2vUaOGZcqUKdSrBwBAqkDgCQCARPSGUTkOgLTt0qVLtn79epcFtXHjRsuRI4c98sgjoV4tAABSBQJPAIA0HRi666677NVXX7UyZcqE3//MM8+4Geb69OnjftbJ5JgxY2z37t1WtGhRGzhwoPu9bN261b766ivbtGmTFShQwK688krr0KFDyN4TgNBSaa2OGV26dLHt27fbQw89ZIMHD7affvrJDh486LKh7r77bsuVK5dbXr3fhg0b5pZV37cePXpY27Zt+RgBAOkGU+wAANIsZSOp0feUKVPC79MU6suXL7dWrVq5nzWT1TvvvGO9e/e2Dz74wAWjXnvtNbecfPjhh1aiRAn3O51grlmzxp1cAkifChUq5IJOXibUmTNnbNasWfbwww+7Y4cC2KNHj3a/37dvnz311FOuQfm7775rV199tX3yySc2e/bsEL8LAACSD4EnAECa1rVrV5sxY4adPXvW/Tx58mRr0KCBO3mUcePGuaBT06ZNLV++fNasWTNr0aKFe4yosXDhwoUtf/78Lmvq3nvvZbY6ABHceeedLkBdvHhxa9eunW3YsMHdr+NI+fLlrW/fvu64oeNMp06d3HEIAID0gq6IAIA0TWUvCjIpI0FZTjNnzrT7778//PfKTtAU6iq1859WXQEoeeCBB+yHH36w++67z51YtmzZ0po3bx6S9wIgZVIZridr1qzhge79+/dHmQmvVKlSbkZMAADSCwJPAIA0T2UxKrdT9pJOChs2bBj+O2UhqG+TshD8ZcyY0f2rYJPXRHjz5s320ksvuf8TfAIQSEBq5cqVEe7bu3cvWZMAgHSFUjsAQJqnRr47duywH3/80TUG94JKXinehAkTbMuWLS4odf78efv999/d9OmivixqLK5eLuoZpSnU1bQcAOKiDEllVCrT8uLFi67RuILgNBcHAKQnZDwBANK87NmzuxM99VW54oorIvyuTZs2rrROzcPVCDhnzpyuJE/3i/o9DRkyxDUbz5Ili/u5ffv2IXonAFKT0qVL22OPPWbffvutO8YoeN2rV6/wY8iyZcusevXqLqANAEBaFeZT3QEAAGmMMpQyZPi/xF7NJKV+Ti+88EKMj1FGgn82VKC/A5B+jzPq56Tgtv+xQsFsZVDGdQzR8UjBbs16pxJgBaYAAEhrCDwBANKUU6dO2eLFi23+/PnhTcQPHjzoZqN78MEHrVGjRqFeRQAIbz6uY9XSpUtdme9ll11mjRs3trJly1pYWBhbCQCQJhB4AgCkCcpm0kxRK1ascE3Ea9as6UpalOk0depUa926dYTZ7AAgpVDWlIJPCkIdOHDAChcu7AJQtWvXdiW+AACkZgSeAACplkpXVq1a5QJOah6uMhVlNNWrV8+Vr4iyCJQ5QA8VACmdguaaPVMBKDUiV9Cpbt267rimGTgBAEiNCDwBAFIdzSqnWecWLVpkJ0+etPLly7vsgCpVqkTo6wQAqdXRo0fDj3MqIa5YsaI7zlWqVInjHAAgVSHwBABINZkAW7dudZkAmp48c+bMVqdOHZcJoLIUAEiL1Kh85cqVLrNz165dli9fvvDMTv+m5gAApFQEngAAKdq5c+fclOMKOO3bt88KFSrkTroUdIo8axQApGU7d+50ASgFolRCrF52yoIqXrx4qFcNAIAYEXgCAKRImolOwaYlS5a44FPVqlVdwElldcz2BCA9U4mxSvBUiqfS49KlS7vjY/Xq1S1jxoyhXj0AACIg8AQASDEuXbpkGzZscFf0N27c6MpI6tevbw0bNnTlJQCAiMdMNSFXkF5NyTWpQoMGDdwxM3fu3GwqAECKQOAJABByp0+ftsWLF7uTpyNHjriyEZWPqIyE2egAIG4qRdYxdOnSpW7Gz2rVqrksqDJlypAlCgAIKQJPAICQ2b17tztRWr58uWseXqNGDXeiVLJkSU6UACABzpw544JPOraqZLlo0aLuuFqrVi3LkiUL2xQAkOwIPAEAkpWuxGtWOpXTbd++3fLkyePKQlRSpzIRAEDiKZi/adMmF4BSOZ4mY9BMeApCFShQgE0MAEg2BJ4AAMni+PHjtnDhQnc7ceKElStXzpXTqWl4hgwZ+BQAIEhUwqwAlEqaVdpcqVIld/zVv0zWAAAINgJPAICgXnHftm2bO+FRlpNmW6pTp4674l6kSBG2PAAko/Pnz9vKlStdxqlKnfPnz++Ox3Xr1nWTOQAAEAwEngAASe7cuXOub5MCTnv37rWCBQu6kxsFnbJly8YWB4AQXxTYuXOnC0ApEKWs09q1a7vjdLFixfhsAABJisATACDJHDp0yAWblixZ4hrcqoxOJzIVKlSgnAMAUiCVPi9atMgWLFjgSqI1C56O25oVT1mqAAAkFoEnAECir5xv2LDBBZzWr1/vyjXUwFYNw1XGAQBIHRM/qAm5sqC2bt1quXLlsgYNGrhb7ty5Q716AIBUjMATACBB1KBWmU0KOB0+fNiVZ6hZbc2aNS1z5sxsVQBIpfbt2+cCUMuWLXMBqerVq7ssqNKlS5O9CgCINwJPAIB4Uc8m74Tk0qVLVqNGDXdCUqpUKU5IACANUcm0d4FBpdS6wKDjfa1atbjAAAAIGIEnAECcdMV7zZo1LuCkWepUduGVYKgcAwCQtkuqN27c6AJQ69atc5NEqKRaQShKqgEAcSHwBACItenswoULXdNZ/b9s2bKunE5Nw2k6CwDpj0qrFYBavHixy4iqXLmy+7tQsWJFsl4BANEi8AQAiHJle/v27e7EYtWqVS7A5E2zXbRoUbYWAMDOnz9vy5cvd38r9uzZYwUKFHB/J+rWresyogAA8BB4AgA4nEQAAOKLixUAgLgQeAKAdI6yCQBAUjh+/LgtWrSI8mwAQAQEngAgHYqpUWzDhg1duQQAAAnFhBQAAH8EngAgHU+NrZ5NagrL1NgAgGBQ/yf9zVm2bJldunTJatSo4XpBlSpVimbkAJBOEHgCgHRg79694QN/XYmuXr26G/iXLl2agT8AIOhOnz4dfuFDJd7Fixd3f4dq1qxpmTNn5hMAgDSMwBMApFEKMK1du9bmzZtnW7dutVy5clmDBg3cLXfu3KFePQBAOi313rBhgwtArV+/3rJnz+5KvRWEypcvX6hXDwAQBASeACCNOXHiRHhzVzV6LVOmjBvQV6tWzTJmzBjq1QMAwFHJtwJQyoRSKXiVKlVc+XeFChXIxgWANITAEwCkkSvIO3fudNlNK1eutAwZMljt2rVdwKlYsWKhXj0AAGJ07tw5W758uQtCqTS8YMGC7u9XnTp13OQXAIDUjcATAKRi58+ftxUrVrjB+u7duy1//vxusF63bl1XvgAAQGq6iLJt2zb3N2316tUuS1fBJ/1dK1KkSKhXDwCQQASegDTowoULtmbNGnc7depUqFcHQXD27Fk7cOCAHTx40PVyUs+mwoULW548eaItT9B9OXLkcE3FVcpAyR0AICVTqfhff/1ls2fPtpMnT7o+hfo7lzdvXsrwUpFMmTK5z019vAoVKhTq1QEQIgSegDRG5VbvvfeeHTt2zAoUKMAALQ1eDdbNP6AUXaApMk1hfeTIEXdTCcMDDzzgBoIAAKQ0+js3YcIEmzRpkrtQUrRoUTfznff3LtC/fUgZmdnKyNZF0TZt2tiAAQP47IB0iMATkIYo2PTCCy+4cqsbb7zRSpUqxR93RBjIb9myxb766is3EHz++efpnQEASHF+//13GzVqlHXv3t3at2/vMnaReqlxvLLXxowZY926dbMePXqEepUAJLMMyf2CAIJn4cKFrrRu8ODBVrp0aYJOiEBXh8uXL2/33nuvHT582JYtW8YWAgCkuIskf/75p5vd7sorryTolAaoQfwVV1xhbdu2dQEoZWEDSF8IPAFpiGaEqVq1quvzA8REJQtlypRx+wsAACnJvn373Mx2aiiOtEWfqbLzt27dGupVAZDMCDwBaawRJ317EAg1+NT+AgBASuL9baIRddrjfaYKPgFIXwg8AWmIUpczZOBrjbipWSup7gCAlMb728Tsq2mP95n6T5ICIH3gDBVIJ00dFyxYYKdPnw7aa5w7d869xokTJyyl27Fjh61cudLOnj0btMcGutzFixdt3bp1tmvXrjhnK9T21ZTScb3umjVr3PMCAJCWqERr7dq1QX2N7du32+rVqy2l07hr1apVbn2D9VgFAZcuXerGFXGNM7WMxioElQBEh8ATkA5s2LDB1dUHc7CmwIleY8mSJZZSqWeEpvKtVauW9enTx/U6GjZsWJI+Nj6v8c0331iJEiWsY8eO1rp1azdzT+RBoGaAUUPOmjVruu0bU1+m6dOnW4UKFaxhw4bWqVMnN6OhpqEGACCteOmll+yOO+4I6mu8/fbbdv3111tKNmLECCtWrJj16tXL6tatay1atIjzAlZ8Hqs+W08//bSbkOTyyy+3m266KdrnUpDpscceswIFCljPnj3d81WpUsVmzpyZJO8TQNpB4AlAksiaNas1aNDAcufOnejnClbt/3XXXedm/VNwR0G4999/326++WabP39+kj020OW+/fZbN7vc999/b1u2bLH169fbc889Z5s3b46w3D///GOPPvqojR07NsZ102M0gFSga/fu3e6K8BNPPOF+VtARAAAERpNvVK9ePdGbK1h9FJWBpLHGq6++6jKmvQtWAwYMSLLHavyimej+/vtv69ChQ4zP99VXX9lbb71lEyZMcI/RGKRp06Zu/EEfJwD+CDwB6cyFCxdckEMlWbGV5KlUS8v5Z+DoytbGjRvdLXJ/oIIFC9onn3xiFStWTNB66TlfeOEFq1y5sn322WeW1JRSrqygZ5991nLlyuXuu/HGG+2yyy6zoUOHJsljA11O5XcPPfSQPfzwwy6bydOqVSt38/fuu++6ZWLr3aWglD6zF1980cLCwtx9gwYNsvz589tHH30Uzy0FAEDKd+TIEVuxYkW0bQT8S/IUAFHpu3+puoJCeqyeI7J+/fq5izcJHWP9+uuvds0117iMZ/2c1D788EMrV65ceOZXjhw53IWrv/76yxYvXpwkj23ZsqXLeCpdunSsz/fnn3+6MY4XnMqUKZPddddddvjwYRfkAgBPpvD/AUjzPv/8cxs+fLgVKVLEZcmoJOvHH38MD5J4JXlKqVaZloJJuk8lYE8++aTddttt4SnYuiI4ZcoUK168eIRSOw1elLYdiIMHD9qoUaPsu+++szlz5ljt2rXt9ttvj5LirvK9uAZvGhxpkBcTXbUTpYz707oqWBSbQB8b6HJKQdd779u3rx09etQFAcuWLRv+OcSXyvty5szpBpAeBaA0w+GsWbMS9JwAAKREhw4dss6dO7uxgQIdCiwpoOI/dlBJ3r///uvGMRrv6GKZgiG6sKWS9S+//NKVh+mily4WPfPMMxFK7fT3XBfiAqWsZo1lVMamXpdXXnmlG19p/Tz6ux85qzk6KpmPjdYt8jjD+1m/q1evXlAeGx2Nu/S+NEbz3qvGJN7vAMBD4AlIR6ZOnequ8JUsWdINfpRdoyta7733XoTlFGzSlcJ8+fK5gFDz5s3dvzNmzHCDEl0prF+/vr3yyis2ZMiQeK2DsqomTpzoBmiTJ09266IrgwqK1ahRI9rHPPDAA3GmrN9///0ufTwmCu4obVxZQP4UOIsu+yshjw10Oa9J57hx4+ydd95xvRb0eegqqzKU8uTJY/GhkgBtH2VceeUBGgjqc0yK0kcAAFIKBY66devmLn6JSr1uvfVWV+KlrGmPxjsaW+iimTK2Bw4c6MYJuuizbds29/dagaJrr73WlZr5PzYQ+rutcnndFMDSRTqtS+/evaP926tx1PPPPx/n8ypgFtuMfhpPqJ+SP114yps3b0DjmYQ+NqbxmcrslN2t7awLk+r5pKxu9XoCAA+BJyAd0WBAgR5Rw8gHH3zQZTIp+OFfyqUUcwWdpFmzZi5woqt33pUwDahU/hVXSnd0NLDTrCcapCiQpaCWVx4WEy2XWJrBJXPmzFHuz5Ili/udBqUxrUegjw10Oa8sQNleKmdUZpJ6LWhbqJ+TShbjQ4NpDXYVuHr55Zddvy0FBTWo1usCAJBW6OKOfwBHQQ6VsyvI9MYbb0QYb3iZ2vrbq4CQAk0qS9ffR9F93sxt8Qk8aeIP/c3VmEp/txW4UjZ5bLp37+5uiRXbWCOumXQT89jo6MKZyvb0eSxcuNBlcWvSlP79+8f7uQCkbQSegHQkckaRflYGkvo4qdTLo0FD5KthXkmd/31KJ48vZTepsbb6EqmPlJ5DvQFiu7qXFKV2Cpap6bcGmP5BNmUKKcMotuBXoI8NdDkvo0lXChV0El0ZVImjGnXGN/CkQJOupCr49PHHH7vtqueaO3eu678AAEBaUalSJfd3z6O/rcr21YUcf9GNZcR/PKPn0fgjvuOZqlWruhlpf//9d/v000/d43URSP2TYpJUpXYaa0S3vhprKHMpWI+NjnpVKuNLZYkax+gC22uvveZ6RCkQpRl5AUAIPAHpiH9jTfEGH/Et7UoMXY1UNs60adPcYEUzn6i30dVXX+0GbUqVD0apnZpfKiCjQZ9/A3QNVDWAjE2gjw10Oa8czgs6eXS1VFcLz58/H+0VydjoM9RVXH8ffPCBNWnSJF7PAwBAahrLeOOZyH9Tg6lWrVqufcGePXtc70yNZ5566imXuayxjDJ+Iq9PUpXaaawROcimMjldSAxkPJPQx0ZHGWQqXfTK6hQEVDBKfbPUToDAEwAPs9oB6Yh6KvlTfwRdOYzckyjY1ICya9eubrCmJpQKRq1evdo1uFTARkGpyKV2upoW2y22oJMoq0pXO3/66afw+xTMUtPvHj16RFhWKfdbtmyJ92MDXU4D00KFCrmMJH/6uVq1avEOOknkFHk1MFcfDM0uAwBAWqEelJs2bQr/+cCBAy67pnHjxsm+Lio1U9uCRYsWuZnz1Dvz9ddfd9lWGuf4zwCsMru4xjK6xRZ0Eo0nNC5Ss3SPxh3K3lIWln8Tdm+m4vg+NlAay+zevTvCferzpCx1/Q4APGQ8AemIZnNRkEmzrCk9XGVdI0eODOk6KdtJ/Z5008x4CkbFld2UEEoh15XGF154wc1kowDXq6++6ma8GTRoUIRl1SBUA8RvvvkmXo8NdDn1Unj33XftP//5j/tdgwYNXBBQDTp186fBtQaP3rTQakyuwJ0GdP4p/Rrg6gqryifVe0vTI6txvIJcAACkFfobqADKf//7X/d/zWCnQI/XzylUlM2sv/nK6laZuyZRUelZUtMFpS+++MJlGunvvBqla1Y+/d8/2KPZiTXTn8YEdevWjddjlXmti3By5MgRl2XmzfKncUb27Nnd/xV0u/nmm10PUY1DNF5Rr8lSpUq5HlgA4CHwBKQDGiAouKEpgtVbSYM03aerXP6ZON5yXh8E/5TyyL0S1FPJv2eUrpbpsYmZRU2voRTtYHnkkUfcYEgp8Spp0/oOGzYsSl8DDdDUfD0hjw10OWVoKQ1fwcDx48e7zDNlPEXu7aDeEQoSip5LDVRFzd4VXPJogKsBr15XzU5/+OEH69KlSxJtOQAAQk8XXHShqnPnzq7MS2Vi+rup4Il/3yctFzlzSJOm6O+oglX+9Hj/oEuZMmXCS+ITQuVmbdq0cbdgXbD7559/XIBL4wCNuzQ2UJDJn3dhy39MF+hjlRF15513hv+sbev9rAuEXmmd+kmqR+jXX3/tyuty5sxpnTp1ssGDB5PxBCCCMF8wQvEAQkIBJQUw1MAbiI2ueB47dsxdrQQAIKXQLK+6UKa+hbFNGoLUR724NAuhMq+8LCwA6QM9ngAAAAAAABAUBJ4AAAAAAAAQFASeAAAAAAAAEBQEngAAAAAAABAUBJ4AAAAAAAAQFASeAAAAAAAAEBQEngCkK0eOHLE33njDOnbsaPXq1bN+/frZX3/9leDl/O3fv99ND1ypUiXbs2dPEN8FAABIi/7991+77bbbrGHDhtaqVSt78skn7fDhw1GWO3XqlH333XfWoUMHN+6IaYyi5V599VVr06aN1alTx3r37m3Tp09PhncCAP+HwBOAdKV58+ZuoHbnnXfa119/bdWqVbPWrVvb999/n6Dl/N1xxx126NAh27hxo124cCEZ3g0AAEgrpk2bZs2aNbOsWbPaJ598Ys8++6y7T0GoY8eORVi2U6dO7nc9e/Z0446TJ09G+5zXXHONffjhh3b//ffbsGHDrHr16u6i2q+//ppM7woAzDKxEQCkJ7ri99Zbb1mOHDncz8pQWrp0qbsaeN1118V7Oc+3335rixYtclcm77rrrmR8RwAAIC24dOmS/fDDDy5Y5Bk9erRVqFDBRo4cabfffnv4/b///rtlyZLFlixZEmsm9oQJE1wQq1evXu4+ZT1NnTrVPv/8c+vWrVuQ3xEA/A+BJwDJZtCgQXb+/Hlr3LixjRo1ypWj1a5d215++WUrXbp0sqzD0KFDLUOGiMmepUqVsvnz5ydoOdm+fbvdd999blCoQR4AAEhdNCZp0aKFvf322y4ws2DBAhfY6d+/vxu/hIWFBX0dlIkUeexRsmRJ99qRy+20bnFRmZ3ky5cvwv358+cP/x0AJAcCTwCSze7du238+PF24MABlz6uwdVDDz3k0sQXLlwY66Dum2++sf/+97+xPn/OnDldVlJsIg/oNPDS1cBGjRolaDmfz2c333yz65mgtPfYSvEAAEDKpBJ5lazpb/orr7ziSu01NlEZfZ48eeymm26K9fHKlN6xY0esy9xzzz32wAMPxPj7yGMPGTFihBtrRB5/BKJs2bLWrl07++ijj6xLly7ufcyaNcv1g1LZHQAkFwJPAJKVrtz9+OOPljlzZvezStfUO2nnzp0uoygmCuzoSmRsohuwxeXuu++2ffv22QsvvJCg5YYMGWIrV650qfAAACB1e/zxx13QSZSV/csvv9jEiRPjDDyp5F5Z3bEpUKBAvNZFgTD1ZlImVNu2bS0hfvrpJ1dmV6RIEZfpdPDgQXv33XddJhcAJBcCTwCSVa1atcKDTlKiRAn37969e2MNPOXNm9fdkpKyrtRAXDf1cIrvcps2bXIDVN2vwRwAAEjd6tevH+FnjVPiyqb2souSksZFnTt3tuLFi9vw4cMT9BwKhCmr/MSJE/bzzz+755o5c6Y98sgjroelsrsAIDkQeAKQrDJliv6wozTy2CRVqZ3nnXfecc+nhpsDBw5M0HKrVq2yM2fO2GOPPeZuosGdtGzZ0rp37+4yogAAQOodp8Q1RkmqUjuP+jkpy0mmT59uBQsWtIQYN26c/fnnn7ZixQqrUaNGeBbXunXr7OGHHybwBCDZEHgCkCokZamdZnLRgOu9996z//znPwleTn0TNHjzpyuKeoyyoCpVqhTQ+gAAgNQtqUrtdAFL/ZiOHTvm+jEpSymhTp48Ge3rKpB1+vRpN4teQtoUAEB8EXgCkCokVamdmnSqd8Nrr71mgwcPTtRySlOPHFwqWrSo+7dcuXJWrFixRK8vAABI+ZKi1E5Z1D169HCZUwo6JXbGX2VhZc+e3Z577jmXgZ01a1Zbs2aNffnll25CFIJOAJILIW4A6YrS3DV73meffeaCRv63ixcvxns5AACApKCJSmbMmOGykVRq5z/2iDy5yZNPPunuV6BKbrnlFvfzXXfdFb5M+fLlXXPx2bNnu16U6ldVp04da9WqlcvqBoDkQsYTgGQzdOjQaK8Qrl+/PtFX9QK1YMGCGANHGTNmjPdykWnmGL2fxKTGAwCA5KW/2/r7rdl3/T3//PN29uzZZFkHbwwRnXz58kX4Wb2iFGyKLFeuXBF+VoNy3VR2d+TIEZeNHds4BgCCgcATgGQTXemZZrhLzl5IuvqXlMtFN+CjtxMAAKmLgjHR/f0uVKhQsq1D7ty53S0QhQsXdrdAaQIW3QAgFCi1AwAAAAAAQFAQeAIAAAAAAEBQEHgCAAAAAABAUBB4AtIQTYt76dKlUK8GUgE1TmcaZQBASuP9bWIG2bTH+0w1azCA9IXAE5CGqCHl/v37Q70aSAUOHDgQcANTAACSi/e3SX+nkLZ4n2mePHlCvSoAkhmBJyANqVWrlq1du9aOHTsW6lVBCrZ3717btm2b218AAEhJihQpYkWLFrX58+eHelWQxPSZKuhUtmxZti2QzhB4AtKQBg0aWI4cOeyDDz6w7du3m8/nC/UqIQXR/rB582YbOnSo5c+f32rXrh3qVQIAIAKVYbVu3drmzZtnv/zyi508eZItlMqdOXPGfvvtN5sxY4a1bNmSUn8gHQrzcWYKpCk7d+609957z2U9FShQwF1ZSmm9fHTY8Q49KW3dEsPrr6VBc0rrX6B1O3LkiLsVLFjQHnjgAStcuHCoVwsAgCg0RpgwYYJNnjzZjROKFy9umTNnTra/rSn573lqG3udP3/edu/ebRcuXLA2bdrYgAED0sw2BRA4Ak9AGqQ/7mvWrHG3U6dOWUqhAc+ePXvcTRk3ZcqUSVOBJzXN3Lp1qx09etRKlizpAjspZXCl9VA2XI0aNaxy5cqWMWPGUK8SAACx0sWSxYsXu3GDAhjBdu7cOdu4caP7t1y5cpY3b9409QmdOHHCNm3aZJkyZbIKFSpYtmzZgv6aei2VT9arV89d+AKQPhF4ApAsNGDU1csVK1ZYu3btrEWLFikmKJPUV0mnT59uc+bMcaWPXbp0IcgDAEAqyBgfMWKE+5t9zTXXuD5TadGhQ4ds+PDhroTx6quvdgE2AAg2Ak8AkuUKmwZzamrdu3dvq169eprf6osWLbJff/3VNdDs16+fZc+ePdSrBAAAorFy5UobP368FStWzAVjcuXKlaa30+nTp23MmDG2ZcsW69atm9WvXz/UqwQgjSPwBCCoFGz68ccfXRmariCWKFEi3WxxNfIeNWqU5cyZ0wYOHOh6bgEAgJTTAmDWrFk2c+ZMq1mzpvXs2dOVhqUHGpeph9bChQutWbNm1qFDhzTV/gBAykLgCUDQrFu3zsaOHesCLgo6qdF5enPw4EEXeFOvrf79+5PSDgBACumHqRYAy5cvd02vW7VqlSZbAMQVeNPsgVOnTrUqVapYnz59LEuWLKFeLQBpEIEnAEEZyMydO9dNnctA5n8p7cp82rZtm3Xv3t012AQAAKGh/kZqAaCm5cpyUrZTerZ+/XpXeqeJX3ShMK01VQcQegSeACR56vakSZNcj6PmzZu71O30dgUxOmwXAABCb9++fa65tjKeBgwYYKVKlQr1KqW41gjaLpqdFwCSCoEnAEma2TN69GjbunUrmT2xZIJNmzbNLrvsMtdonZR2AACSB5k9cU8GM3LkSJcJ1qtXL6tRo0YyfTIA0joCTwCSBL2MArd27VrX+6pgwYLptvcVAACh6GVUuXJl18soa9asfADRUCbYzz//bCtWrLC2bdtay5YtyVwHkGgEngAkmqbjVQ+jHDlyMHtbgHQ1USntly5dSnez/QEAkFxUOjZlyhRbsGABs7clYLa/WrVqWY8ePdLNbH8AgoPAE4BEWbx4sU2cONHKli1r/fr1s+zZs7NF45HSruam6qugsrvq1auz7QAASCJnzpxxLQB0gaxr167WoEEDtm08KOtJ2U/Fixe3q6++2nLmzMn2A5AgBJ4AJIgydX7//XebPXu21a9f3w3oMmbMyNaMp/Pnz7tB3cqVK61du3bWokULUtoBAEikQ4cOucxiXeTp37+/lS9fnm2aADt27HAXyTJnzuwytIsUKcJ2BBBvBJ4AxNu5c+fsp59+snXr1lnHjh2tSZMmBEsSmdKudHaltdeuXduuvPJKUtoBAEggTXKiJtnKwh44cKDrqYiEO3r0qAviHT582K666irXJwsA4oPAE4B4OXbsmBt86Epi3759rUqVKmzBJLJ8+XKX/aQpjHV1lpR2AADiZ8mSJfbLL79YmTJl3N9SWgAkjbNnz7qLjpoZsFOnTta4cWMuOgIIGIEnAAHbuXOnS7dWSZ3SrYsWLcrWS2Lbt293V2mV0q6rtIULF2YbAwAQQPawWgD8888/Vq9ePevWrRstAILQZmH69Ok2Z84ca9iwoXXu3JltDCAgBJ4ABGTVqlU2btw4K1asmGswmStXLrZckBw5csRllSm1XSntlSpVYlsDABBLCwCNUdasWWNXXHGFm70uLCyM7RUkCxcutEmTJlm5cuXcxDLZsmVjWwOIFYEnAHFeQfzrr79sxowZVrNmTTelrrJxEPyU9rFjx9qGDRvcFUWltAMAgKgtAJSNfeDAAdcCoGrVqmyiZLB582YbNWqUuxCpLPgCBQqw3QHEiMATgBhduHDB9UlYtmyZtW7d2t24gpi8Ke3Tpk2zf//91xo1auQCUBkyZGCPBQDAzHbt2uWCThqbKPihrGwkn4MHD9rw4cPt9OnTLhu+bNmybH4A0SLwBCBaJ0+edL2GNKjr1auXy3ZCaCxYsMCltFeoUMGV3pHSDgBI71avXu2aXRcpUsQGDBhguXPnDvUqpUsKOinzadu2bW5W3rp164Z6lQCkQASeAESxb98+12Po/PnzbjBXqlQptlKIbdq0yQ3s8uTJ467q5s+fP9SrBABASFoAqIG4GonXqFHDevbsSQuAELt48aL9+uuvtnjxYrv88sutffv2ZMgDiIDAE4AI1FNozJgxljdvXhfgyJcvH1sohVD/CqW0q/+TUto1VTQAAOmpBcDEiRNt6dKl1qpVK2vTpg0BjhQUENRsd7/99ptVq1bNZctnyZIl1KsFIIUg8AQg3Lx582zKlCluFjU16MyaNStbJ4U5deqUy3zasWOHS2mvU6dOqFcJAIBk+funFgA7d+50E53Url2brZ4CrV271k2OUqhQIZc1r0xtACDwBMA1sVbAaf78+da0aVM3FTFNrFN2Sruu+C5ZssRatmxpbdu25YovACDN2r9/v2sBoIxfBTNKly4d6lVCLPbs2eM+L2VBKXu+ePHibC8gnSPwBKRzZ86ccaV1mha3a9eu1qBBg1CvEgKgwdzs2bNt+vTpVr16dZfSnjlzZrYdACBN2bhxo40ePdplzgwcOJAWAKnE8ePH3YyDChr27t3bld8BSL8IPAHp2OHDh13PoBMnTli/fv3crGlIfbP6jBs3zgoXLsysPgCANEWZ2JMnT7aKFSu6WV1pAZC6aJKan3/+2VauXOkajqvxeFhYWKhXC0AIEHgC0ilNe6teCdmyZXNp0KrFR+q0e/dul9KuwZxKEEhpBwCk9hYAU6dOdb0nGzdubJ06daIFQCrO0J45c6bNmjXL9aXs3r27ZcqUKdSrBSCZEXgC0iHNBvPLL79YqVKlrH///pYjR45QrxKSIKVdwSfNfNenTx+77LLL2KYAgFTZAkDNqVVi16VLF2vUqFGoVwlJYNmyZTZhwgQrWbKkm5mXsSeQvhB4AtLZVac//vjD/v77b6tbt6676pQxY8ZQrxaSMKVdZXcqv+vQoYM1b96clHYAQKpqAaCLKMeOHXMtAFRih7Rj+/btru+TSiaVba82AQDSBwJPAJAGg4vqpQAAAJCSHDlyxPUXvfvuu0O9KgCSEYEnAAAAAECyOHv2LI3igXSGwBMAAAAAAACCIkNwnhZAUlq1apXt2bMnwn0nTpxw0wyrtMq/IefatWttw4YNrt+Pv4sXL9r69evdc2k5pH36nL19ZNeuXbZixQrXhDy6nhr63c6dO0OyngCA1OvkyZPub41movOn5uBbtmyJcN/+/ftt+fLltm/fvmj/FqkB9Y4dO4K+zkg5MyxrH1EG1Jo1a9w+E3k/0vh169attnLlSjf2BZA6MZclkAosWrTI/TF+7rnnwu/TrHSanc6b7UUNwz/++GMrUaKEnTt3zv0Rf/rpp93MdZrp7IknnrAsWbJY3rx53c+DBw+2mjVrhvBdIdj0Ob/00kuuybgG+WFhYS649MILL1jVqlXdMj/88IObZaZChQrud/r3scces+zZs/MBAQDipLHFBx98YPfdd581bNgwPFigvz+33XablStXzo1L3n//fRdYKlOmjAs46G/TXXfd5ZafOHGifffdd1apUiXXWFxNpzVuyZw5M59AGjZp0iTbtGmTC17my5fPNR/X/qJxisYsClS+8sor7qJZgQIFXABK+9QVV1wR6lUHEE8EnoBUoFOnTnbHHXfY3r17rWjRom5A99tvv9n111/vfq+gwpAhQ+ypp56y2rVru/u+//57+/TTT93Ab+7cuVawYEF77bXX3O80qNMfeqQPtWrVsm7durn/Dx061H7++Wd79NFH3QnATz/9ZO+++647ETh16pQLOo0ePdpuuOGGUK82ACAVUHBIgYApU6aEB57+/fdfu3DhgjVp0sT9rL8rGqt8/vnnli1bNpe58sADD7jxSdOmTe3XX3+1QYMGWYsWLcIvuOkCGoGntE8Z/QpK5s+f341Pb7/9dpedX6NGDfviiy/c/W+99ZabhXnevHluLKtxTbFixUK96gDigVI7IBXQlb8GDRrY1KlT3c9KaT99+rS7WiiLFy+23Llzu0GafqebAk1KS1aQStMR79692812dvDgQcuTJ4/VrVs3xO8KyaVt27bh/69SpUp4icOSJUusTp06LugkOXLksA4dOrj7AQAIVOfOnV2wSBkqMnnyZGvXrl144EiBKI1FVGanMcrq1autdOnS7mfvb9OMGTPcuEVjmfr161uuXLn4ANKBevXqueCSaHyqgJI3TlFmvy6cKegkjRs3tkKFCrn9BEDqQsYTkEp06dLF3nvvPRs4cKC7qtimTZvwGUF05VCBKA30/Cm4pAFctWrV7OWXX7bZs2e7jBcFn2699VYXdEDa5+0nosGb1z9B+4yCTf5UYqfMJwAAAlWkSBEXQJg2bZq72KGAkjK1PRqnrFu3LkpvJ10kE5XpKTiltgGfffaZlSxZ0mVAUfadvsYo/uMUXTjVGJZxCpA2EHgCUgkN6DQAU5mUMlJuvPHG8N+VL1/eMmTI4Mqk/P+AK2VZf7D1r3o99e/f392vzCkN7D788MOQvBekDLraPG7cODe4864mKr3dy4ACACBQXbt2dWX/uqhx2WWXuXGH/zhFf1v8xy6a+EK9fbzAVLNmzdzNC0QpA0rPifRJ4xL1LVV2nC6gytGjR10/SsYpQOpD4AlIJdRkUans3377rWu+qUGcRynpahatHk8dO3Z0wSf9oVZzaTUY//33311aslKU9Tv9zB9ttG/f3saPH2+vvvqqtWzZ0s2GqKvN+hkAgPjQWESNxtUoXIEjfwo4Pf74467JuIJSCiDMmjXL+vbt6/pAPfPMM66lgCa4ULme2gPo4gjSt2uuucY1rle/MLWd0MQ6Gu96/UwBpB5hPv+52AGkaBqoqaH4vffe6wJM/vRVnjlzpgswaWBXvXp1168nU6b/xZcXLFjgmnieOXPGKleu7BqWq8En0i4FHj/66CMXfFRGnNcvQf01NCuMd5VZJwmaSUY9FrRfEZQEACTE8OHDXXBAF8kUhPJ36NAh1ypAGSuawax169aut5OoxFvtAjSDr3o76WKIGkgjbdNnrvGrf2abGoprxmavHYTGtX/99Zcbr2j8qmVpOg+kPgSegFREgSP1efr666/pewAAAFIUZS7p4oVmJgMAwEOpHZAKqAfCsmXL7IcffnBNxmm2CQAAUorNmze7jFr1CbznnntCvToAgBTmf7UXAFI0ldipL5NSj1XvDiSHvXv3sqEBAHHSxbE1a9a4Pk7FihVjiyFZaHIUAKkDpXZAKqGpiTWjnaYY1ux0OXPmDPUqIY3SLIg//vij68ehxq9eDw4AAKKjae9/+uknW79+veshqYbhQLBodmf1ElNZp8bEVAIAKR+BJyCF85qGa/YXNVrs3r17eMNwIFjUoF4nEevWrbMrrrjCmjZt6mZWBAAgcla2LlYcPnzYrrrqKtcAGgi2rVu32siRI13QaeDAgVawYEE2OpCCEXgCUrDz58+7LCfN6NGuXTtr0aIFJ/9I1qDn9OnTbfbs2W6abM0kkzFjRj4BAICzY8cOGzFihJtlTK0AihQpwpZBslFmtoKemvFOmU/ly5dn6wMpFIEnIIXSH1EN5tRnp3fv3la9evVQrxLSqcWLF9vEiROtbNmy1q9fP1LaAQC2YsUKGz9+vJUoUcKuvvpqWgAgJM6cOWOjR4+2LVu2WLdu3dyFMgApD4EnIAVSsGn48OF26dIldwVRgzoglDSgGzVqlOXIkcPtk6S0A0D6zYZV+b/aANSqVct69OhBCwCElMbLkydPtgULFlizZs2sQ4cOliEDc2gBKQmBJyCFWbt2rY0dO9ad2OsEP0+ePKFeJSA8pV0B0ZMnT7qr2+XKlWPLAEA6cuHCBdcCQNlObdu2tZYtW9ICACkmIDpv3jybOnWq6zPWp08fy5o1a6hXC8D/R+AJSEF/MOfOnWvTpk2zyy67zJXXZcmSJdSrBURw+vRpl9Kupp5qdF+vXj22EACkkxYAaua8Z88e69Wrl9WoUSPUqwREoZkVx4wZY/nz53cXcPPmzctWAlIAAk9ACnDx4kWbNGmSLVq0yC6//HJr3749VxCRKvbX5s2bu/2VlHYASNstANTEWcf/AQMGWMmSJUO9SkCM9u3b5/ZXTdKj/bVUqVJsLSDECDwBKSiD5Morr7S6deuGepWAgDL0/v33X5ehV6VKFZfSToYeAKQ969atcy0AyCBBaqK2AMrQ2717t/Xs2dNq1qwZ6lUC0jUCT0AIHTx40F2ROXXqlOuZo1nDgNR4QlKgQAF6kgFAGsIFBqSFnmQTJkyw5cuXW5s2baxVq1ZUFAAhQuAJCOEsYboSkzNnThs4cKA7cQdSI0owACBtUUmdZglbuHAhs4Qh1QdQ//rrL5sxYwazMAIhROAJCAH1xvn111/drGBXXXWVZc+enc8BqRpNZwEg7bUA6Natm9WvXz/UqwQk2sqVK238+PFWrFgxV2WQK1cutiqQjAg8Acno0qVLNn36dJszZ441aNDAunTpYhkzZuQzQJqgJp5KaWeabQBInQ4dOmTDhw93/XF0cq4LZEBasXPnThsxYoQbe6vaoEiRIqFeJSDdIPAEJJNz587ZTz/95HridOrUyRo3bkydOdJkSvuff/7pbrVr13YN8zNlyhTq1QIABNACYNSoUZYjRw7Xs69gwYJsM6Q5R48edf1VDx8+7KoOKleuHOpVAtIFAk9AMuCPHNIbZT0ppb1EiRLuqrl6mQEAUqbFixfbxIkT3SQn/fr1owUA0s3F4I4dO1qTJk24GAwEGYEnIBnTenUFsWjRomxzpAs7duxw+37mzJndvk9KOwCkvCxVtQCYPXu26+XUtWtXWgAgXaD9BZC8CDwBQUQjQ6R3R44ccSntyvpTSnulSpVCvUoAgP+f9TFu3Dhbs2aNy/po2rQpWR9I1xP+KNsvW7ZsoV4lIE0i8AQEeerWmjVrWs+ePelzg3Tr7NmzNnbsWNuwYYN17tzZ9TcDAITOsWPH3EUBNRPv06ePVa1alY8D6dbmzZtdfzPNdKcM7QIFCoR6lYA0h8ATkMQuXLjgZvZavny5tWnTxlq1asUVRKR7Smn/7bffbO7cudaoUSMXgMqQIUO63y4AkNx27drlgk46BmtmL1oAAGYHDx5034tTp0653pTqdwYg6RB4ApKQph8eOXKk7d6922U5KdsJwP9ZuHChTZo0ycqXL+9K70hpB4Dks2rVKldep2DTgAEDXIYHgP85ffq0y3zatm2bm5W3bt26bBogiRB4ApLIvn373JWS8+fPu8FcqVKl2LZANDZt2mSjR492Jzy62p4/f362EwAEuQXA33//bX/88YfVqFHDXRzTxA8AIrp48aK7QKbeT5dffrm1b9+eygUgCRB4ApLA+vXrbcyYMe4EWrXhefPmZbsCsThw4IAL1OrqogK1ZcqUYXsBQJBaAPzyyy+2bNkya926tbuFhYWxrYFYArVqDTBt2jS77LLLrHfv3pYlSxa2F5AIBJ6ARP5hmjdvnk2dOtUqV67sGnRmzZqVbQoEQH0UlNK+Y8cOl9Jep04dthsAJHELAB1nd+7c6bKcatWqxfYFArR27Vo3OUrBggXdheU8efKw7YAEIvAEJCIVd8qUKbZgwQJr1qyZdejQgWbJQAK+RxMnTrQlS5ZYixYtrF27dlyJB4AksH//fhs+fLhrAaBmyaVLl2a7AvG0Z88el6GtSVIUfCpRogTbEEgAAk9AApw5c8b1qNmyZYt17drVGjRowHYEEpE5OGfOHDfrXbVq1VxKO71HACDhNmzY4FoAqPRfJ8v58uVjcwIJdOLECRsxYoTt3bvXjVGqV6/OtgTiicATEE+HDh1yVz70R6h///5udi4AibdmzRr76aefrFChQu5EKXfu3GxWAIgntQBQRnalSpWsb9++tAAAkoAyB3/++WdbuXKly85Wlja90oDAEXgC4mHr1q02cuRIy549u5uNSzXfAJLO7t273VVFZUEp+FS8eHE2LwAEQKVACjjNnz/fmjRpYh07dqQFAJCENDaZOXOmzZo1y/Wl7N69u2XKlIltDASAwBMQIPWg0awwmn1LmU4KPgFIesePH3fBJ/UnUcN+zSgDAIi9BYBK6zZt2uRaADRs2JDNBQTJ8uXLXfZTyZIlXf+0HDlysK2BOBB4Qrxt3rzZ9WNRqqnKzRT9Tw9XEdUEOUOGDJYxY0Z3n9JrFXyqWrWqu7JIvTeQNHRMWbRokRvUqbRV9N1LS/R+VEqoGaY0OQFNf4GkK4f5999/3cQfmjHz3Llz6eKYqTGKaIzilf/o/8rMrlevnjVv3tzy588f4jUF0oZjx47Z5MmT3fmQjjn6m57Wyu7Ua1ON1OvXr+/GKdmyZQv1KiGVI/CEeFm4cKF98cUXbjpRnTBpEJPWDrTxGegp8KYAnJoNKjOjU6dOoV4tINV/r8aPH+/KRXQlUc3GdSUxrR1nFMxWUE1XTU+dOmX33HMPwWsgkXQC+PHHH9uqVatcf6OKFSum6/5GFy5ccOXLGqfoOPrggw9akSJFQr1aQKp2+PBhe+edd9y/uuhcqlSpNFlup6C9kg3WrVtnFSpUsEGDBhF8QqIQeELAjh49ao8//rjVrVvXrr322jSXgZCYE2Vd9dCMXI8++qgb6AJIGAVihg4daj179rQ2bdqkixPDr776yjZu3GhvvvkmgzogESZMmGBTp0612267zWUj4//Gbx9++KELPj355JNsFiAR3n//fdu1a5e7YKTJUNJDf1sF9JX1pN6bQEIROUDAVPqirAPNkELQ6f9om3Tu3NllgSm1H0DCqSlusWLF0kXQSXSV9KqrrnJXFpctWxbq1QFS9UUgHT8aNGhA0CmSvHnzur5POoFU7zwACe9BuXr1arviiivSRdBJypYt64JOqnpRtjaQUASeEDBdkVdjbRroRfNFypDBNUDWNgKQcBs2bEh3zcQLFCjggm0cP4CEU+n7vn370t3xI1AqWxaOM0DCbdmyxQW509txRscPBd10jAUSisATAnb69GnLmTMnWywGCshpGwFI3MxM6fE4o4kKOH4AiTt2SHo8fgRCva7UbJzjDJBw3vcnvR1nvKQD7zgLJASBJ8RLWmvwm5TYNgASivJlAMHGOAXgu8SxA6GS9lrwI9VRrfSsWbPcDE+asjO2meFUX/znn3+6q3bqV1C5cuUkfw0AaYOmF1fT/9mzZ7u+L2pYHhNNuz5p0iQ3S03Tpk2tdevWiXo+AGnPyZMnbdy4cbZ27Vrr1auXOw7ERD3b/vjjD1eWozGHZr+KyaZNm+zrr7+20qVL23/+858grT2AlOTs2bM2bdo0d46SL18+a9WqVZQSvmPHjrmJR7zAsfpK6bhz+eWXR/ucmoXul19+cceqhg0bul5UQEpBxhNCPjNEixYtbPHixe4gOXjwYDdjgk7w/OnnO++80/r06eNmktAMLTfccIObwSapXgNA2qGBl070Pv30U3dCp5muYvLtt9+6gdzcuXPdceG9996zhx56KMHPByDt0clfzZo13Sy2mkpdM3BGR4GmRx55JLyZt8Ydd9xxh/3www/RLq9jjmbhGzJkiA0fPjzI7wJASqCL4QoyvfDCC3bq1Ck3MULz5s3tpZdeirCcgk2aHEC33Llzux5tmuTp+uuvd8caf7p4pmCTgt4qCbz99tvtlltuibIcECpkPCFkFOF/5pln7N1337Vbb73V3Xf33XdbnTp1bNiwYXbzzTdHGPDpRG/OnDlWokQJd98TTzzhBnVJ9RoA0g5NhDBz5kwrXry41apVK8bl5s2bZ4MGDbKRI0daly5dwu9ftWpVgp4PQNqkk0JdAFOWwvjx42Nc7pNPPnFBpr///tsqVKgQPl7RxAnRURBLs1p26NDBDhw4ELT1B5ByrFu3zgWQXn/9dVfFIcpiuueee6xHjx7uPEUUbHr44YcjPFYz4Wo27X79+rllRYEmnd8o2PTaa6+FL6fjlrKzydBGSkDGE0JG5Sq60ud/MFRQqXHjxhGu+qmR3QcffOAOqF7QSTJnzmyVKlVKktcAkLZo0KYgUVzeeustV1rnH3SSyGUxgT4fgLRJJ4U6CYyNphrXMUUXtbygk+jEsmrVqlGWV2aCLqx9/PHH4SefANI+ZUTqWOH/vW/fvr37N6ZsSk+zZs1cJpSCVx6V9e7fv99lOHlq167tMqBGjBgRlPcAxBcZTwh5k0sN1Pzp56VLl4b/vGjRIlda17JlS9dbQZkIpUqVso4dO8Z5IhjoawBIf5R+rnT3e++91xYsWGDTp093J5Y6waxbt26oVw9AKqMs6z179rheLb/++qsbZxQrVsz1WVH/Jn/KclJ2gjIuyaIE0hf/C+ketQQR/6B1TBfVNX7RRXT/ILZmrozc+1blwcrWBlICMp4QMorYK9LvH4lXUzyVvqgngjdl6c6dO8NT1T/88EO7cOGCK4tRTxY1Gk+K1wCQ/iigffz4cdfc88Ybb7QTJ064wVubNm1c+jsAxIc3XlGpi44h58+fd/3hNF5R/xV/6uWijOzHHnuMjQykcxqPPPXUUy5Q1KRJkyi/nzJlimsdon5wmoBALUQU4PYcPHjQNSiPPHNl/vz53e+AlICMJ4RMtWrV7Pnnn7dnn33WNfXVTA1q2qlZ5xTN99JPvaZ4Kq1TnyfvoKraZdVCr1ixItGvASD98Y4tmqHKy0wQHR/UU0GzVkVXHgMAsR1TdFFLPZ4yZfrfMFs9JtUuQH2edJ/GI2omrqB3lixZ2JhAOqbsx2uvvdbNqjt69Ohoz02yZ89uefLkcccWBaxVWte/f38XbPJE10Rc90UORgGhQsYTQurBBx90MzmoSZ56quiKoK4MFilSJHwwVrhwYfevGuj5HzzVt0nZS0prT+xrAEh/NEuMUtPV48kLOnnHFpXjKjMSAAKlcYVceeWV4UEnURBb/Vc0I5VoZkyV2igbSlkMuq1Zs8Z27Njh/h9XjxcAaYOCSOoJp3J/tRPRTHfRad26tZstU32hdOFct1dffTX897qwfuTIkSjBp0OHDrnfASkBGU8IOdUj+9c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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "guide = GuideRegressor().fit(X, y)\n", "cart = GridSearchCV(DecisionTreeRegressor(random_state=0),\n", " {\"ccp_alpha\": np.r_[0, np.logspace(0, 3, 13)]}, cv=5).fit(X, y)\n", "\n", "fig, axes = plt.subplots(2, 1, figsize=(15, 10))\n", "plot_tree(guide, ax=axes[0])\n", "axes[0].set_title(f\"GUIDE, pruned by cross-validation ({guide.get_n_leaves()} leaves)\")\n", "plot_cart(cart.best_estimator_, feature_names=list(X.columns), filled=True, impurity=False,\n", " fontsize=7, ax=axes[1])\n", "axes[1].set_title(f\"CART, ccp_alpha tuned by cross-validation \"\n", " f\"({cart.best_estimator_.get_n_leaves()} leaves)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "69b7cf5e", "metadata": {}, "source": [ "## Linear leaves\n", "\n", "With `node_model=\"linear\"`, each leaf fits a least-squares regression. `feature_roles` controls which variables split and which enter the leaf models; by default every numeric variable can do both.\n", "\n", "On these data, cross-validation prunes the linear-leaf tree back to its root: progression is close to linear in the predictors, so a single multiple regression beats any split." ] }, { "cell_type": "code", "execution_count": 3, "id": "927dd78e", "metadata": { "execution": { "iopub.execute_input": "2026-11-02T22:20:55.806268Z", "iopub.status.busy": "2026-11-02T22:20:55.806180Z", "iopub.status.idle": "2026-11-02T22:20:55.885635Z", "shell.execute_reply": "2026-11-02T22:20:55.885319Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "leaves after pruning: 1\n" ] } ], "source": [ "linear = GuideRegressor(node_model=\"linear\").fit(X, y)\n", "print(f\"leaves after pruning: {linear.get_n_leaves()}\")" ] }, { "cell_type": "markdown", "id": "af8995b9", "metadata": {}, "source": [ "Roles also allow simpler models that are easy to plot. Below, `bmi` is the only regressor in each leaf and the remaining variables only split, giving a piecewise simple linear regression on `bmi`. `plot_tree` shows each leaf's fitted line:" ] }, { "cell_type": "code", "execution_count": 4, "id": "19288957", "metadata": { "execution": { "iopub.execute_input": "2026-11-02T22:20:55.886628Z", "iopub.status.busy": "2026-11-02T22:20:55.886568Z", "iopub.status.idle": "2026-11-02T22:20:55.954667Z", "shell.execute_reply": "2026-11-02T22:20:55.954216Z" } }, "outputs": [ { "data": { "image/png": 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LWCj7ltfpShAFS7Yxh+SAST6ZzPfAgQPVtRKxTkQaETDFxWYLHHUcHT179lTvPSljbNWqFX7//XdVCiolnFLGSgghhBBCCLEPFJ6IRyJCkQgm5pxFclM7fPhwVaolzpxly5YpEUHcK+I2kZwmXQixCAAS+CwCloQdSwbTihUr8NNPPyE9Pb3MvkVkEEFJ8n7uvfdes2Oz5LgSVP3HH38ol9GhQ4eU+CTLIgZVhDhIxKEjIcimiHtr27Ztak5ExJC8JBE17rzzTqNyNQlc3rt3rxJoxOXTpk0bJaBI7pS4QwwRwUBEjfKuQb9+/ZSYJmKbCB8y97IvufEXxNkjJYkiCIi4JOc/Z84c5WiS/B5Lt6kIEepEcBGhSQQ+Ef3EeWbodpL9yLyJ2GOKnPP69euV2CSP4joS95iIi4YlWiJAiYgn8yaijwic7777rt4BZTh3cv5yPF2WkWm5ncy/jFmcVuIAkusqeWO6kjQR0cQdJcKXCIYyt3INRcjRCZOWbCPIuZi66CSYXN53X331lXrPyPzI+1NKAA3LPEWMM+dKkt8TU7efORx1HN3r5T0swqpcJ7l28rttGC5f0bHkM8Mc4kQsLCw0WmduTgkhhBBCCPFWfKS1nbMHQQhxfUT0ELeRrhuZqyMh6iLAzZs3D08++aTTxvHqq68q0UiC2y0p7SOEEEIIIYQQT4IZT4QQI8SpYdqlSxwza9aswcSJEzlblZR3GiI5TeK0kpJKik6EEEIIIYQQb4SldoQQIyTgXMq0RGSSciTpOiah5FKSJJlXpHykvFDKJrt06YLU1FTV4VDC3KVsjhBCCCGEEEK8ETqeCCFGSIC3BC9LMLpkDEmWlYSKS8aVacaTK1NRbpO9kA56Xbt2VeWIEggvYfOSYXTFFVc4bAyEEEIIIYQQ4kow44kQQgghhBBCCCGE2AU6ngghhBBCCCGEEEKIXaDwRAghhBBCCCGEEELsAsPFCSGEEEIIcXFKSkpw7tw5lcHo4+Pj7OEQQgjxcjQajeqIXr9+ffj6VuxpovBECCGEEEKIiyOiU1xcnLOHQQghhBiRkJCAhg0boiIoPBFCCCGEEOLiiNNJ9x/8iIgIZw+HEEKIl5ORkaG+ENH9faoICk+EEEIIIYS4OLryOhGdKDwRQghxFSwp/2a4OCGEEEIIIYQQQgixCxSeCCGEEEIIIYQQQohdoPBECCGEEEIIIYQQQuwCM54IIYQQQgjxAEpKSlBQUODsYXgtAQEB8PPzc/YwCCHE5aDwRAghhBBCiBlycnLw/vvvY9myZUhKSkLz5s1x33334aqrrtJv8/HHH+PZZ581/g+2vz/OnDljtG7NmjWYO3cuTpw4gWbNmmHWrFkYMmSIzeZdBKeTJ08q8Yk4j6ioKNStW9eisF1CCPEWKDwRQgghhBBihpdeekk5WObPn49atWopAWrChAn47bffMGrUKLVNdna2EhvWrl2rf52p6LBjxw6MHj0aTz/9tBKyFi1apJY3bdqELl26VHvuNRoNzp8/r8Yqra19fZmm4WjkGohQmZycrJbr1avn8DEQQoir4qORT0lCCCGEEEKIEfLfZFMRqV27dhg7dixeffVVtfzmm2/ik08+wb59+8qdvalTp+Ls2bP4+++/9ev69u2Lxo0bY8GCBRbNekZGBiIjI5Geno6IiAij5woLC3Hs2DHUr19fbUOcR1pamhKfWrVqxbI7QohHk1HB3yVT+HUIIYQQQgghZjAVndavX49Tp05h2LBhRuulxE2Ehvbt2+Omm25Sy6avGzFihNE6cUzJeltQXFysHgMDA3kdnUxoaKheDCSEEKKFpXaEEEIIIYSUQ0JCAnr06KHKqPLz8/Hee++pMjkdYWFhmD17tsp9ysrKwosvvohu3bph7969aNCggXJNJSYmok6dOkb7lWUpjzPnqhLkWPJj+M1yZTBXyPnwGhBCSFkoPBFCCCGEEFIOUr62a9cuJfz8+OOPuPfee5WgdOWVV6rnb7vtNiOxYfHixWjZsiXefvttvPLKKyrsW8QlCRw3+k+4v79aL8+b64Q2b948zJkzh9elioibTMoPZ86cyTkkhBAnw1I7QgghhBBCykFEIelSJqV0jz/+OK6++mq89tpr5TpcgoKC0LlzZxw8eFD/egkmT01NNdouJSUF0dHR5eYAPfXUUyo3Q/cjzitinfD02Wef2WTKJJtLRMDVq1fzEhBCXIPiIiD3ovbRDaDjiRBCCCGEEAsJDg5GXl5ehdscP34cvXv31i/37NkTGzZswBNPPGEkjMj68hABS36I85ByyWnTpqmuhSIkSm7T0KFDeUkIIc7lwklg5zdAVjIQHgt0uQGo1dSlrwqFJ0IIIYQQQszwwAMP4D//+Q9at26tyuJ++uknLFmyBC+//LJ+mwcffBB33HEH2rZtqwSpuXPn4vDhw/jf//6n30bK8yZMmICff/5ZOaZkPytXrlSP3szvv/+uShj79++PFStWKGeXBLd37NjRaDvZZunSpTh37hyaNWuGiRMnlhHlpJPc999/r65Tv379zB5PhKNffvkFR44cUeWSY8aMUa6zioLCFy5ciA4dOqBNmzY2OmtCCKkG4nAS0Sn1CFCjnvZRlgc/Bfi5rrzjuiMjhBBCCCHEiUgnuhtuuEEJFQUFBWjYsKEqs7vnnnv024wcORIzZszA0aNH1TbS2e6PP/5QYoqOsWPHYv78+bjllltUSLkIGrIswoe3C0+//vorQkJC1DxKOaK4wmSdrgvg6dOnlZAkc9+3b198++23eOGFF/DPP/+oNt6GDjMRh7p3767ytaSE0VBUktLG4cOHqzB4uTZbtmzBo48+ir/++gtXXHGF2fE1b97cQTNBCCEWUpCpdTqJ6BRSU7tOlmW9btkFofBECCGEEEKIGaRTnfzk5uYqISMwMLDMNiIeyY9sExAQUCZE3ND1dPfdd+PSpUuqdMvXl1GrQlpamnKISYi7IHMowpFOeBIhSlxOa9asUdcgOztbOaLEdSYB7MLTTz+NLl264M8//1Tz+uyzz6qAd0Ph6ZFHHlHC1KJFi/TrnnzySeVYW7t2Ld//hBD3ILCGtrxOnE5C5nkgppV2vQtD4YkQQgghhJAKEEeOLbYRUUSCxh3B1e9sQEpmPhxN7RpB+OW+UrdXZfTq1UsvOgniPvr000/1yyImvfnmm/oQdnEsiQtNyhZ1wpNs8/777+vFPJljKcc7dOiQWpbOgVKqJ84zcUtJOZ78nD17Vjmf5N+mIfGEEA8sURNXkAg0LlySVikydsl00mU8iegkyy5+Tq49OkIIIYQQQojViOiUmFFxCLorEB4ebrQsjjHJYhLE3SS5T/Xq1TPaRoQqEY1020gGlHQeNEReoxOeMjMz1XbiWCsqKjIqpZNOhcXFxeU61QghHoAbhnFXiIxdMp3cSEhz/RESQgghhBBCrHYeuftxxd0kOU7nz583Wi/LEg6u2yYiIgKJiYlltjEUt8SRJu4qKXkkhHgRbhrGXSkydhfOdDLFjWeaEEIIIYQQYg5ryt1cmdGjR+OLL75QAe5Sbifh7N988w2uu+46/TajRo3Cl19+ienTp6uSuQsXLmDZsmWq06Agr5OugpIddeONNyqhSleCt3XrViVIEUI8FDcN4/Y0KDwRQgghhBBCXJJXXnlFdbWTTnTS1U660Il7SYLBdbz44ovo06cPBg0apLraSVe82NhYo/289dZbSqDq0KEDxo0bp8rrNmzYoASp8oQnKeF744031L+l49769evx3HPPoVGjRpg5c6adz5wQ4s1h3J4GhSdCCCGEEEKIw5FugCLuGNKzZ0+jcrjGjRvjwIEDKhz83Llz+O9//6uCw4OCSkv6pIPd/v378f3336tl6VwnuU7Hjh3Tb1O7dm3lbhLhau/evahZs6bqaNe6dWuLxsoSPULcNAjcTcO4PQ0fjbRxIIQQQgghhLgsItBI3pGEbetKxXTk5eXh5MmTaNq0KYKDg502RsJrQYjLBoF7Slc7N/m7ZIq25yghhBBCCCGEEEKIKwSBB4SUBoHLeluFcVN0cgoUngghhBBCCCGEEHdGxJnci7YRaVwlCFwedUHgxK2hx4wQQgghhBBCCHFX7FWe5mgYBO6x0PFECCGEEEIIIYS4I/YsT3M0uiBwCQAvzGUQuAdBxxMhhBBCCCGEEOIJ5WmCrjxNt+xOiFNr8FMMAvcw6HgihBBCCCGEEELcEV15WuZ5bcaTPMqyrHdXGATucVB4IoQQQgghhBBC3BGWpxE3gKV2hBBCCCGEEEKIu8LyNOLi0PFECCGEEEII8SjOnj2LAwcOOHsYhDgOlqcRF4bCEyGEEEIIIcSj+Pzzz3HHHXfYdJ9btmzBnj17bLpPQgjxBig8EUIIIYQQQkgFvPXWW+jduzemT5/OeSKEECuh8EQIIYQQQghxOKdOncKRI0fUv8+fP49Dhw6hqKjI7LaJiYnYsWMHLly4UO7+jh8/jmPHjqGkpKTcbdLT07Fr1y6kpKRYPM6dO3fi9ddfxw033GDxawghhJRC4YkQQgghhBDicF577TUl5vTv3x+DBw/GkCFD0KZNG5w4cUK/TW5uLq677jo0bdpUbVu/fn3cd999RuJSdnY2Ro0ahU6dOuHqq69W20pZnCHFxcV46KGHEBcXhxtvvFEdZ8yYMUhLS6twjFlZWZg6dSo++OADxMbG2mEWCPEiiouA3IvaR+JVUHgihBBCCCGEOIVt27bh6aefxuHDhxEfH6+Epblz5+qfnzdvHjZv3oyjR4+qsHARlL788kv1o+Oll15SYpX8HDx4EAsWLMAff/xhdJxXXnkFq1evVvuRnKYzZ86o9Y888kiF47v77rsxfPhwjB071ubnTohXceEksHYesHyW9lGWidfg7+wBEEIIIYQQQmzMR4OArGTHT2t4LHDnOos379Wrl3IeCQEBAbjqqquwaNEi/fOffvqpEocaNmyolsXVNGPGDLX+lltu0QeJi3hVp04dtdy3b1/lfEpOLj3/9957D7feeisSEhKUwKXRaJTDSgSp8vj666+VMLZ9+/YqTAQhRI84nHZ+A6QeAWrU0z7K8uCntN34iMfDq0wIIYQQQoinIaJT5jm4OjqxSEdoaKgqndOV2Z07dw5t27Y12qZ9+/ZYunSpfhvJh2rdurXRNlJKpxOeMjMz1X6WLFmC5cuXG23XokULFBYWKtHLEMmAErfT//3f/2H37t1qnRxHjrdp0yY1psjISJvNAyEeTUGm9jNJRKeQmtp1sizrdcvEo6HwRAghhBBCiKchziM3P25QUJD6kZwlQ2S5Ro0a+m0CAwP1YpUOw2V53sfHB0899ZRyS1lCTk6OErgMy/rEKXXp0iU8+OCDePPNN1WXO+IFTh0RRwJr0JlTHWT+5LNBnE5C5nkgppV2PfEKKDwRQgghhBDiaVhR7uaq+Pr6omvXrsqlNHnyZP36P//8E927d9dv06VLF6xcuRITJkxQ66SMbsWKFahVq5ZenOrTpw++++67MsKTCFRhYWFljt24cWPlbDLk0UcfVcc2XU88FMkgknIwceaIaNLlBqBWU2ePyj2RcjqZP918iugkyyyzczzndgJr5gFXzQciGzjssBSeCCGEEEIIIS7Jiy++qDrW1atXDwMGDFAldhI2vmPHDv02zz33HMaNG4e6deuiZ8+eyqF08uRJvfAkvPHGGxg2bJjqUCfd8aTL3Zo1a5CYmIiFCxc66eyIy8JMItsjop1kOtFB5hwungJWPQ/sW6JdXvsSMP49hx2ewhMhhBBCCCHE4TRt2rSM20jEoyuuuEK/LAHg4mZ6//33sXbtWjRr1gz//vuvUabT6NGj8cMPP+Cjjz5SbiQRqAYPHqyCwQ1DzHfu3Il33nkHr7/+OmrWrFlpuLg5F1Tnzp2rfd7EDWAmkX0QhxMznRxLdhrw92vAlo+BksLS9af/BQpzgYAQhwzDRyNeVEIIIYQQQojLkpGRocKs09PTERERYfRcXl6ecviIkBMcHOy0MRJeC49yPK2dV9qFTZdJxC5sxF0oyAE2fwBseBPIzyhdHxoNDHwc6D4T8A+0298lU+h4IoQQQgghhBBCdDCTiLgrJcXArm+1OU6GnU39Q4A+9wD9HgCCKxaJ7AGFJ0IIIYQQQggh5eON3d2YSUTcCY0GOPIXsHI2kHKodL2PL9BlhtatF1HPacPzkk8NQgghhBBCCCFe3d3NWgGtKplE7i7Sufv4vZEz24AVs4DT/xivbz0GGDYbiG0DZ8N3EiGEEEIIIYQQz+7u5ggBzd1FOncfv7eRdhxYNQc48JPx+oY9gBFzgcZ94Sr4OnsAhBBCCCGEEELcoLubPMqyrHdXAU26eOkENFnvTsewJ+4+fmuQc8q96L7nlpUM/PYI8F5PY9GpVnPguq+AW1e4lOgkuJlMTQghhBBCCDEHm1U7H4+7BlJuJc4XESEEXXc3We/OApqgE9CsLaVz5jHsibuP3xtcXflZwL/vARvfBgqySteHxQKDnwC63gT4BcAVoeOJEEIIIYQQN8bPz089FhQUOHsoXk9OTo6ag4AA17z5q3J3NxGbCnO1j7LsbmV2OgFNhDNxusijLNtSQHPEMezp/HHH8XuLq6u4ENj6KfB2F2DtS6WiU0CYtuz1/p1Aj9tcVnQS3OwTgxBCCCGEEGKIv78/QkNDkZKSogQPX19+t+wMp5OITsnJyYiKitKLgR6BJ3R30wloOqeLPQQ0RxzD3s4fdxq/N7i6NBrg0K/AyueAtGOl6338gO63AIOe0F47N8BH43F+UEIIIYQQQjyLjIwMREZGIj09HREREWWeF7fTyZMnUVJS4pTxES0iOtWtWxc+Pj6cEm/t2OYOXeFkjGvnlYbG60ooRWAUXH389jhvVzvX+E3aTnUJm43Xtx2n7VQX0wKu/nfJEBebXUIIIYQQQoi1BAYGomXLliy3cyLiNvMop5MnIuKCKzpbXM3546lz5A6utJTDwMo5wOHfjNc36qPtVBfXE+6IC80wIYQQQgghrkNRURG++OILLFu2DElJSWjevDnuueceDBw40Gi7rVu34qWXXsKJEyfQrFkzPP300+jRo4fV21QXKbELDg626T4JcSWKikuQnV+MsCA/+Pu5YEmpuwRXe0povCeVjmac17qxdn4NaAycqzGtgeHPAa2vBNzYSemCv62EEEIIIYQ4n1mzZmHv3r144IEH8OGHH6JFixYYNmwY1q1bp9/mwIEDGDx4MJo0aaK2ady4sVqW9dZsQwipmPi0HMxfeQQv/X5APcqyS+FOwdWeEhpfXeebK5xvXgaw+gXgna7Aji9LRSdxo139NvCfjUCbMW4tOgnMeCKEEEIIIcQMhYWFZbqTtW3bFldffTX+7//+Ty3feOONOHz4MDZvLs3h6N69O9q3b48vv/zS4m1smaVBiCc6nURsOpGcjdiIICRn5KNZbBgeGt7KdZxP0glu+Syt6CSihiyLqDNyruuWrrlDHpWnUlQAbP8cWPd/QE5q6Xq5Fv0fBHrfDQSGwpWx5u+Si/yWEkIIIYQQ4lqYik67du1CfHw8+vTpo1+3Zs0ajB492mi7MWPGqPXWbEMIKR8pr0vNzFeiU1RooHqUZVnvcuVrUrYmopM8yrIrl6+5kvPHW9BogH1Lgfd6An88Xio6+QYAve4CHtgFDHzU5UUna+E7jBBCCCGEkHI4e/asKq/LyclBcnIy3nrrLUycOFE9J82h5fl69eoZvUa6mp05c0Y9r9tHRduY64CWn5+vfgy/WSbEW5FMp5gaQcrxJCRl5KN5bJha7zK4Q3A1cS4n/9Z2qju3w3h9h2uAoc+6Zh6YjeBvASGEEEIIIeUQGxuLH3/8UQk/8vjwww+jdevWKqOppKRECUfSUc6QoKAgtV6eFyrbxlwntHnz5mHOnDm8LsR9sWEZl5TTTeneCIu2xSunk4hOsuwyZXauHlxNnEvSfmDlc8DR5cbrmwzQdqpr0BWeDn8TCCGEEEIIqaDcrk2bNurfPXv2VIHgIgqJ8CSCkeRbpKYa5HMAajkqKkovKFmyjSlPPfWUErl0iPAVFxfH60TcAzt0d2sUHaoynYy62rliRpGufI2Q9DPAmpeAXd/JVxCl8xHbHhgxB2gx3O1Dwy3FRX47CSGuQnZ2NtavX48dO3bg/PnzqpU08R7kBki+3e/SpYtqFy43RYQQQkqRz8WkpCT9co8ePbBp0yajKdq4caMKD7dmG1PEESU/hLgdht3dpDOXrrubOIFs4HyKDPW1m7jl0riiyEbMk3sJ2DAf2PwhUJRXuj6iITD0GaDTFMDXhcpEHQDfsYQQPVlZWZg/f776D3WnTp3Qq1evMqUBxLMRofH06dNYtWqV6r70yCOPoFatWs4eFiGEOIVnn30W99xzj8pjEiQM/IcffsAzzzyj3+bOO+/EDTfcgHXr1mHQoEFYu3Yt/vzzT3z33XdWbUOIxyDiiIhBIjrpnD+yLOtt5QSyo7jlknibyOauFOUDWz4G/n5NGzCvIzgSGPAI0PMObddDL8QDfysJIVVlyZIluHjxorL3N2jQgBPpxaSlpeG1117DN998g/vvv9/ZwyGEEKfQtm1b9O/fXwWLFxQUqBDwJ598Eo8//rh+m2uvvRaHDh3ClVdeiRo1aiAzM1MJVtdcc41V2xDiMei6u4kYJEh3NwnatmV3N0eIW1ZQVFxiXAJoS7xNZHNHJM9v3xJg9fPApfjS9X6BWrFpwCNAqHd/keuj0bXbIIR4NYWFhXj00UdV555x48Y5ezjEBZBv5BctWoRXX30V4eHhzh4OIYQ4DelmJ6JT7dq1y90mNzdXlahL97qQkJAqb1MekvEkWVHp6emIiIiw+hyIB2Kr0it7lHDZ26EjY147r1SM0YlbThBj4tNy9KHn0nlPQs8lj8pmiHNm+SytU0ZENVkuzAVGzmWWlCtwfDWwYjaQuMdgpY+2nE7K6qIawVOx5u8SJVJCiCIxMRF5eXlo164dZ4Qo2rdvr7otxcfH831BCPFqJPuuMkRIatasWbW3IcShwo69BCJ7d3eT/clYdWMX0UmWHSw6idNJRKcTydmIjQhSj7IsIeg2cz45wkFGrOf8bq3gdGKN8frmw7TB4XU7clYNoPBECFHk5+erx7CwMM4IUYSGar+tE0GSEEIIIS6CrUqv7F3CZe/ubvYWtyxAyuvE6SSiU1SoNhdVlmW9PgTdQ0Q2cpmLp4E1LwJ7FhlPSd1OwIi5QPMhnCoz8N1KCDFCSgkIIYQQQoiLYqt8IxfLSXJJcasSJNNJyuvE6SQkZeSjeWyYWu9pIpvXk3MB+Pt1YMv/gOKC0umQUrqhs4AO1wC+Ns738iD4jiWEVJtdu3bhk08+KbN+/PjxGDFihNvNsETfLV26VHV1k2wjCX+VsjNbvtaa7aTD3G+//Yb69evjscceq/JxPe06EUIIIV6JrUqvWMJVbaScTjKddBlPIjrJsq0DxrXh5RqEBUXaPrycVIzkaW3+CPj7DSA/vXS9CJ4DHwd63Ar4B3EWK4HvWkJItTl27Bjee+89tGrVCm3atNH/REdHu93sSqbRpEmT8OCDD6qwPMm+6tatG77//nubvdbS7Xbs2KGyQF5++WWsWLFCBX1X57iedJ0IIYQQr0VXeiVik9wUV7X0ylb78XIkSFwynZ4e00492jRY/HJ4+fyVR/DS7wfUoywTB1BSDOz8FninG7Bydqno5B8M9H8IuH8X0Oduik4Wwk8VQojNuPvuu+Hv72/zbglLlizBjTfeaPN9m0PEnZ9//hn79u1TbbQFEXP+85//YMyYMRVmYFn6Wku3k+5J0lmucePGqhX3qVOnbDJme1wnQgghhDgQW5VesYTLJogLyWaZTo4OLyfGaDTA0RXAyueA5P2l6318gSumA4OfBiIbcNashO9WQkilFBcX48cff8Szzz6LOXPmYPXq1XadtcLCQvzyyy+YMmUK6tSpgyeeeEK5ehzBwoUL0adPH72AI8ycORNpaWlYvny5TV5r6XZxcXFKdLLnmAkhhBDipujyjarrULLVfojdw8vlURdeTuzA2e3Al1cD3002Fp1ajgLu+gcY/x5FpyrCTxdCSKVcf/312LRpE2666Sb4+fmp0q8///wT//d//2e03QsvvICcnBw0b95clX6JY8ca5BjffPONcvDk5uaq7CFxO40aNcrIobN161Z8+eWXle7vzTfftNrZs3v3bowePdpoXYsWLRAUFIQ9e/Zg4sSJ1X5tdY5hizFX9zoRQgghhBAPCi/3di6cAFY9D+xfary+fldg5PNAk/7OGpnHQOGJEFIh+fn5Kivo119/xZVXXmmUF2RIy5YtkZ2djYiICHzxxRfKpSSPEyZMqHD/SUlJ+PDDD5XgdPr0aRVy/dZbbynRqbyyNikjk2wie3ToE5dQzZo1y+wnKipKPWeL11bnGNUdc1WvEyGEEELclOIi9+2G5s5jd6Pwcq8lOxVY93/Ats+AksLS9bWaAcNmAe0myH+qnTlCj8H7fnsJIVYhrpkmTZqoUGoJoZbQanE9iaNGR79+/bB//34EBASoZSnJmzx5Mm6++WacPXu2wlwkCc1+7rnnUK9ePfz0009G4lZ5SDi2/FQHyUt67bXX9MsiZN17771KsJEOcabIOt9KWqRa+trqHKM6x63OdSKEEEKIG3LhJLDzGyArWdsJT8LDJdfJHXDnsdshvFzK68TpRNHJBhRkA/++D/zzllbY1BEaAwx6Auh2M+AfaIsjkctQeCKEVMqqVatUed3UqVORnJyMYcOGKbGoS5cu6nkRjUy57bbbVJmcdGYbMGBAufuW0GwphxPH07hx45TINX36dPXTunVrs6+xRaldSEiIkWtK8pQEyZRKTU012lbypS5evIjY2NgKj2fpa6tzjOoctzrXiRBCCCFu5u6R/Ylwk3oEqFFP+yjLEkruSu4hc+ftLmN30HW2V3i5R1Pe+2rXN8CaeUBWYum2AaFAn3uBvvcBwRFOG7In4+a/tYQQRyBikJTDCQkJCXj88ccxfPhwJCYm6t0zpuTl5anH8p7XERwcrAQt+UlJSVFB2SJCzZ07V7mrRICS5+rXr2/TUjsRa8ThZEr37t2xfft2o3WSkySB5/JcRVj62uocozrHrc51IoQQQoibuXvkplv2J8KNhIcLsizrdcuuet6uOHZbCIPu4OLyhPJG03m+4nog5SCwcg6Qerh0Ox8/oOuNwOAngRp1nTlij8dN30mEEEchGUH79u3DoEGD9M6gq6++GosXL1aihQgWEjQuQpTOXSQZQlLGJmJR165dLT6WhFzfd9996ufIkSNKgHr33Xfx2GOPqTBsKfuzValdedxyyy0qzHzdunX6c5bMKekuN2TIEP124hD67LPPlAjXqFEjq15r6Xa2HrOtrhMhhBBCbIi93D0iHMhNt+xPyDwPxLTSrnf183a1sdtCMHIHF5c7CGPWznP8JmD3AiDjrPF2ba4Chs0GatvnnoIY4yLvcEKIqyJ5TnPmzMGFCxfQuXNnJTaJgPH000+jRg3tH//Nmzfj/vvvV88HBgZi7dq1Krx62bJlarkqiLAkrif5+eeff6zuTldVRo4cqcSkq666SnWDO3PmjOoa9/PPPxu5gkQYk9wryUfSCU+WvtbS7TIzM/HUU0+pf+/atQsZGRl6l5ah4GXp/uxxnQghhBBSTezl7hExQ4QDnZAgwo0sV0fksKUbprLztvXYq4qtBKOqXGdHuo/cQRizZp79Q4ATa0rFSx1xvYARc4FGvZ01Qq/ER2MukZYQ4nVIl7pXX31ViUx165a1mu7duxc7d+5UrqOePXuiaVPjbz+k7G7jxo3IyspC8+bN0bt3byVauStyvlu2bEF4eLgSdky7xh09ehR//fUXpkyZopxa1rzW0u3E5SWuKnNU9bjWXCdxRD388MO488476YgihBAnI18+SKl5enq6+tKAeBByw792XukNv87dY6sbfluJFxW5YapyDEvO2xXKvnIvAstnAQEhWoFIlgtzgZFzrRMGrb3OjnYf2eo8nU36WWDBNCBxj7TaKV0f3QIYPgdoM5ad6pzwd4nCEyHEIuGJeB8UngghxHWg8OThuHqJU0WiSXpC1cfu6uddXWHQVDiz9HwrO6Zuv+LqKcq1jTBX1fN0BXFQyM8ENr4DbHwXKMwuXR8QBvR/SPvjTs4tD/u7xJknhBBCCCGEEGci4oPc4LvCDbw1ZWK5l6pXnuXq512dksXyRCZLzreisjzdnKcd14pDsk108+qLdlU5z9RjwPbPgNx0bTi3M4TD4kJg+xfAuleA7JTS9YFhQM87gX4PAiGRjh0TKYML/mYTQgghhBBCiJchN/iuWtJUXti3j6b6uUWufN5VFcgqy0uq7HzLm29xOO18F0g5pC0py0oEivKBkkLb5DFZc56pR4Gf7gUyzgGh0UBmona9ozKhJDHowE/AqrnAheOl6339ge4zgYGPA+HGsRTEeVB4IoQQQgghhBBivRsmuKZ13efcpbTOnPBiqUAmr884oxViqhoYX958S1mdLIvQcykeCIkGNMVAaIxtAuktPU85x21faEWnoAhtaVuOXP9E24yhMk5vBFbMAs5sNV7fbgIwbJbWAUZcCgpPhBBCCCGEEEKq5oaxtDzLHbqmVVcY071eBJi0Y9pyLwm1rkyQs3S+ZQ5lXOJ48vEDclOA8LpATipQu411+68OMqa8S1oBTEQn30AgJ01b0mbPMSQfAlY+Bxz5w3h94/7aTnUNu9nv2KRauMhvOCGEEEIIIYQQl8acG8YWuUW2cshUJ+i6usKY6esDw4GCLKAg2/JcqMrm29AJ5RsA+AcZZzw5SsCT+ZVMJxHUxOkkolNEfaDbTPsEkYuzas1LwK5vAU1J6frabYERc4CWI9mpzsWh8EQIIVYgXRv27t2L6OhotG3btsrbFRQU4MiRIwgJCUGTJk3g5+fH60AIIYQQ96Q6uUW2cshU161UXWHM9PUiBonoNOgxIKKh7UQhQ6HPll3trEEngAni7gqOArrfDMS0sO31yUsHNrwJbPpAe546atQHhjwNXDEd8OX/od0BX2cPgBBC3ImZM2diwIABeOqpp6q0XUpKCu655x7UqlULU6dOxZAhQ9C4cWMsWbLEziMnhBBCCHESOqdL52lasakwt+ouoMrcRgEhpW4lWW8pOmFMBLHci9pHWbZUGDP3enEFiegkyDprxmOJ0BcQrH10RqmiTgAb9YLWdRTT0nbXRwLTRWx66wpgwxulopPkSQ2bDdy3Heg6g6KTG0HHEyGEWMjXX3+NnTt3okOHDlXebvv27fj999+xatUq9OrVCxqNBnPmzMGUKVPUc1dccQWvByGEEEI8B1OnS+epQFiMbV06tijjKy/Q29Ixlvf69ATXD1SvKpYGrlt6fUpKgP1LtZ3qLp02OE4g0ON2YOCjQGgtO5wIsTd0PBFCXJbCwkJs2LBBla3Jvw8ePIhjx46hRP4oOZgzZ87g/vvvx8cff4ywsLAqb9ewYUN1TiI6CT4+PsoVJY+//fabXc+BEEIIIcShmHO67F5o+9Kw6rqVTF08I+dqH60ViExfHxlXfSeWJ2DJ9TmxDvh4CPDDrcaiU8fJwL1bgdEvUXRyY+h4IoS4LGlpaapcTcrW/vzzT8TGxuLUqVNo1qwZ/vjjD7VcEeIgys01qAc3Q1xcnCp1qwhxJd1yyy245pprMGzYMDzzzDNV3s6cC0qEteLiYkRFRVU4DkIIIYQQt8Kc00UygTLOmM89EkEm7yKg8QFCoqrvNqqKuGWpi8eS14vIYu9AdXegouuTuA9YORs4ttL4Nc0GA8PnAPVZDeAJUHgihLg8O3bswK5du1C7dm1cunQJXbp0wSuvvILXX3+9wte9+uqryoFUETfccAPuuuuuCrd57733cODAAXz//fc22c4UKbXz9/fH6NGjrXodIYQQQohLYxoonnZMG7i97lVt/pFh2ZmU5G18F0jYrF2O6wX0vddy15Gl3fUcib0D1e1BdToDWnN9ZC6W3aV1wEFTul2djtrMqBbDbHds4nRc4LeREEIq5pFHHlGikyCuoBEjRighqjIWLpQ/ZNVDOs898cQT+O677yp0JFm6nSlfffUV3n//fSWkNW/evNrjJYQQQghxSaeLOJ1EdAoMBwLDSsvORIwQdnwFnFwHlEgZmkb77+AIYMgz1jmfXMlJdPn8i3d8jeL0JPhFt4SfrQLV7YElneeqI0zptl81B9j8EVCcX/qclCUO/S/Q8TrAl4lAnoaLvuMJIaSUunXrGk1HaGgosrOzK50iW5Ta/fe//0W7du0QHR2tspmEzMxMBAYGquWOHTsiMjLS4u0M+fXXX3Hrrbfivvvuw+OPP85LTgghhBD3cbBY63SR8jpxOonoJOKQpkQbvJ17CfDzA9LPAj6+l4UjH6AgC8g46/ZlafGaOlhcNAlZRZcQXhSF6zR10AgunsclpYGGwqDufWOJMFUehXnAlv8Bf78O5F0qXR8cpQ0Nl/Bw6dJHPBIKT4QQj8UWpXaNGjXCuXPn8OSTT+rXJSQkIDExUa175513VOmfpdvpWL16NSZPnoybb74Zb731VrXPlRBCCCGkDNURCmyJCBeS6STldSJo5KUDZ7cD/sHApveAK64HIhsA53Zoc5HE8eQbAEQ0cO2ytEooKi7Bom3xOJGSj9iIKBxPyVfLDw1vBX8/X9cSJSvrPGeJMGWOkmJgz2JgzYtaoVGHXxDQ+y6g/0NuLSwSy6DwRAjxWGxRavfaa6+VWde7d2/lwvrxxx+t3k7YtGkTxo8fj2uvvRYfffSR6mhHCCGEEGJTqioU2LvsTkrqjq7QrqvTQZv7tHsBcMV0IC/DOOOp642uW5ZmAdn5xUjNFNEpCFGhgWqdLMv6yFBf1xIlO0+rOI+qMmHKFI0GOL4KWPEckLTX4Akf7bGGPA1ExTngRIkr4L6/xYQQ4oYcPnwYY8aMQZMmTXDbbbdh48aN+ufq1avHnCdCCCGE2AZrhAJHleOJ26rP3dqyOslvCo0u7fwWFgNc+UrVutq5KGFBfoipEYQTydqIiKSMfDSPDVPrK8Te18OcKCniX+ep2rBvc50BrQlKP7cLWDFLm9NlSIsRwPDngLpluzw7w40mAqBcC5dwn3k47v2bTAjxaCQfqV+/fmXCups1a1ZpdpM96dy5s8pyqsp2p0+fVllQwjPPPGP03IQJE/Doo4/aeLSEEEII8UosFQoMnS8i/rSbANRpbz/RJ7im1uki45JMJ8NxyTHDtA1lXIJqCkAiaEzp3kiV14nTSUQnWa5Q6HBEeWR5oqRc//I6AxoGxZsTpoSLp4BVzwP7lhgfr34XYMRcoOnAisflIAE0Pi1Hf01EGJRr0ig61G7HI4CPRiMeOEKIt3Ps2DGViTRnzpwyYd7EO5EA94cffhh33nknunbt6uzhEEKIV5ORkaGaVKSnpyMiIsLZwyGuiumNe2Uihmy/dp5WBAoIA85u0+YutRyhLXOzVx6Uq2RPOWiMFrtrDK+HiEI6Ua6K5ZHlHrc6xzEnDmWnAX+/Bmz5GCgpLN02qjEwfDbQbmLlneoc9J6QOZm/8ohyoUkJZHJGPprFhrlO7paH/l2i44kQQgghhBBC3J3ybtzLc7AYOl/C6wBJ+4CSIqC4AEg+aN88qMrG5WH5WCJoWJTpZG2OUlVdPZa4l8pDttGNpSAH2PwBsOFNID+jdBspoRz4ONB9JuCvzbZylTwyl87d8mBc7DecEEIIIYQQQohVVHbjXp5ooSvHE9Ep54K2m1xoLSCyYZUFD4upaFzOxoYCkFVYk6NkSTe9y64eeSzTTa864p90qtv1LbBmHpB5rnS9f4g2w6vfA0BwpEvOd5Vzt0i1oKRHCCGEEEIIIe6M6Y27POpu3CtC53yJbQf4BQK+AdryqKwkrQBipeDhMegEIBF+JPxcHh0xH7rrIWJTYa51TqQKXD3yqHP1lDmevF8s3b+k9Bz+E/igH/DzfaWik2R1SWnm/TuAYbOsE50cPN+63C0pr8srLLYsd4tUGzqeCCFGMPaNEEIIIcTNul9VxykjzpchzwDtJwD7fwSyU7WOpyoIHh5DdUrRXKAM0S6unjPbtJ3qTv9jvL71GGDYbCC2jdvMt5QcivvL5X+vPQgv/SQhhJgSEBCgHgsKCjg5xOi9oHtvEEKIt5GXl4cvvvgCq1evVt1Uu3Xrhvvvvx+1atXSb/P999/jrbfeMnqdv78/1q5da7Tu8OHDeO2113DixAnVnVW6mLZu3dph5+JROKjzlV26X9lr7NW9cZft6nUGYtu7bu6So3FmDpW5MkQr3jtV6qZXHmnHgVVzgAM/Ga9v2EPbqa5xX7jjfFucu0Vsgpd/mhBCdNSuXRt+fn7qP8SNGzfmxBD1XhDY5ZAQ4q0MHz4cnTp1wrXXXovg4GAlHH399dfYvn07oqKi1DZnz57FuXPn8NVXX+lf5+PjU+bztHfv3hg3bhwefPBBLF68WC3LfkSEIq7ZDc2inBxXGrstbtxdOXfJGbjKfFThvVNtV09WCrDuFWD759rQeR21mms71bUdJx928Mj5JjaHwhMhRBEaGoq2bdti3bp16j/DISEhnBkvprCwEKtWrUKjRo2UKEkIId7I77//btQievDgwYiJicGyZctwyy23GP0N7d+/f7n7mTdvnvpSR9xTIkpdddVVStB6+eWX8b///c/u5+ExOLDzlc27Xzlq7Lxx9zyq8d6pkqsnPwv49z1g49tAQVbp+rDawOAnga43AX50wxProPBECNEzfvx4zJ8/H6+88goGDRqE5s2bIzDQghaoxKMEp1OnTmHDhg3qW/z77rvP2UMihBCnYSg6CfKljPxdlBI8Q8TxNGbMGFWa3L17dzzwwANGr12xYgVuuOEGvRNKHq+++mosWLDAQWfiITi405hNc3Kc1SXNDcsbiZPeO8WFwI6vgLUvA9nJpesDwoC+9wF97wWCvDRsnlQbfmoQQvSIu+Whhx7CTz/9pMoASkpKODteiNwQtWrVSuWYyCMhhBAt77zzjhLoR48erZ8SX19fVYonLqasrCy8/vrr+Pzzz7Fz505ERkaqph0JCQlo0KCB0TTKcnx8fLlTm5+fr350ZGRk8DLYqNW8pdg0J8fBY7epWGTrEkFHiVieIpbZ+70jneoO/QqsfA5IO1a63scP6HYzMOgJoEYd2xyLeC1u/BtICLGX+CQul+zsbKSmpqr/YLsyIo6tXLkSKSkpGDt2rD5zw1WQefzll18QFhaGK6+8UgXOujIyvujoaNSowW+0CCHEkL/++gtPPvkk3n77bTRtWnrTfccdd6j8Jx3yt6hFixZ48803MXv2bBQXF6u/VYbb6NxTsl6el4xFc+V5c+bM4UVwcqcxm3W/cvTYbSUW2bpE0FEZXQ7MArM79nzvxG/SdqpL2Gy8XvKbpFNdTIvqH4MQCk+EkPIQoUR+3OFGQAQyKWGQ0kBXRPJAJNfjwIEDmDhxYpnQWUIIIa6NdLWTz+/nn38ed911l9FzpoKSuJx69uyJXbt26QV9EfPT0tKMtpNlKcczJzoJTz31FB5++GEjx1NcXJwNz8pNcUKnMZt1v3LU2G0pFtmyzKuccRUNfALZhT62a2tf0fnrzsndXFC2fu+kHNF2qhOnkyGN+mg71cX1rN7+CTHBjX7bCCHEmB07dmDTpk3KSeSqopOunELys3744QcV1D1gwABnD4kQQoiFrFmzRuUxPfvss3jiiScsek1SUhJat26tX+7SpYvqYGfIli1b1PryCAoKUj/EwwK0HTF2W4hFujI1/xDblXmZGVdW2jl8tnwXzuYGqTwtKWUUl5ldzj95P3DgZ+e5oKpb+meL905mIrB2HrDja0BTXLo+pjUw/Dmg9ZW271RHiJSlcxYIIe7I6dOn8dtvv6Fbt27o0aMHXJ0OHTpg4MCB6lvzgwcPOns4hBBCLGD9+vUqu+m///2vciCZQ5pyZGZm6pc/+eQTJTJNmTJFv27mzJn4+eefsXv3brUs+U/yN0zWE2K3TCARiXIvah9l2VKxSMrURJxYPgtY/yrQbLBWbCrMrV6Zl8m4SjLOYW96EA6nAcEBfirEXfK0iootyxiV7dJzCstub+78w2KA/T9qBbSAkFIXlIhBjsBwTuVRlh1JXgaw+gXg7S7A9i9KRafwusDVbwP/2Qi0GUPRidgNOp4IIW7HxYsXsWjRItWaWtxO7lK6Jm24pSxQ2nDXrFkTdevWdfaQCCGEVMC0adNUDpOIRPJjuP6ee+5R/xZXkribpKw6PT1dZft9+OGHGDdunH77G2+8UYlNvXr1Ug7d48ePq5I9WU+IS2UCmStTEwY+BhTlVq/My2RcBVEtsL6kF2LCQhEVqu2iLCHukqdVWWljfFqOPvS9jFPK3PlLZtHWT5zTVVA3pymHgNAY7WN1crKsoagA2P45sO7/gJzU0vVyHfs/APS+Gwi0UbSGp4S5E7vgo5FWG4QQ4iZIh59PP/1UhbHedtttKpzVnZCwdul2JDcmt99+O8LDw509JEIIIeWwefNms002GjZsiCZNmuiXi4qKcPjwYSVCyfryGkkkJyfj1KlTapvY2Fir5l0yniQ/SsQtyYYixC5CgDiExJUjriARZGRZnE4j51ZdoDEdx+XlIv8wzF99QjmdYiOCkJSh7RwoYe4VZT2Jw2n+yiP61yVn5KOZudcZHlcQp5FOUNOVDDpC/JE5/OUh4OIprdPIxxeIaACMewsIq22fY8ot/v5lwKq5wEUDd5VvANDjVq2QKC4wW+FJYe6eTrHtBEJr/i5RiiSEuA3yrbPkJMmHnDuKTkJAQACmTp2Kjz/+WLm2brrpJpfvdEcIId6KOJQsQT7H27dvX+l2IjZZKzgRL8OWrpGqZALpytRskelUkSARUlPdiIpTSedcEtFJlisLGBdHlGwvolOFTinT83dwR0Q9kpMl85iVCASEa/+dfhbY+C7Q7WbbCzQn/9Z2qju3w3h9h2uAof8FajWz7fFs3fmQ2A8nCoR8JxBC3IaVK1fi2LFjmD59uippcFfkGwERn8T59Msvv2DChAluUy5ICCGEEDvhCq6R6pTpVUGQkPI4cSqJaGRpVzvZTsrrxPEk6JxSst7VOiIqpERRzr8oD8g4B/j6AUE1bF9yl3QAWPkccPQv4/VNBmg71TXoCrtgy86HxH44WSCk8EQIcQukLfW///6LUaNGoUWLFnB3dJ3uli5dqjrd9e/f39lDIoQQQoizcCXXiK0EGgsFCRGbKst0MkS2r4pTymkdEWUOo5sDhTlAfjYQWAjUqANExtlGoBH31JqXgN3fARqDoPXY9sCIOUCL4fYNDbe1S454pEBI4YkQ4vLEx8crZ1DXrl0tLntwBzp27IiUlBSsWrVKiU+GrbcJIYQQ4kW4mmvEFgKNHQWJqjilnIbORbbjK63jSRrpRTUBspKqNx+5l4AN84HNH2rdVDokP0pK6jpN0bqr3MklRzxWIGS4OCHEpbl06ZLKQxJhZsaMGfDzc8AfUAci/R0WL16sOhzdeuutqFOnjrOHRAghxAVhuLgXOJ6cFX7tpPJBCQl3C+HIltc4aT9w4EcgO7Xq5ZRF+doOfetf1QaX6wiKBAY8DPS6UxsO72js3dWOXfNcrpzXmr9LFJ4IIS7dwe6zzz5THYUkTDw09HKbXA+joKBA5T3l5uaqTndhYTZqa0sIIcRjoPDkBbhCxpM9MCMYxKfl6EvlJK9JSuXExWSv47kUVR1fSQmwbwmw+nngUnzper9AoOcdwIBHgNBa8Eg89XfDi7raUXgihLhsBzvp+nb69GnlBBLHkycjH9ji7KpVqxZuvPFGdrojhBBiBIUnL8HVRZPKxixUMn5xOs1feUSFg0tnuuSMfDSLDVOlc9V2PnmqQHF8NbBiNpC4x2Clj7acbugzQFQjeCye6gb0sr9LvFKEEJdEco+OHj2KadOmebzoJMiHtnS6++KLL/Drr7+q4HF2uiOEEEK8DGeEX9tK6BHnjVBcUKHoI+V14nQS0SkqVPsaWZb11oSMu3RAu604vwdYOVsrPBnSfCgwfA5QrxM8HlfLPyNVwguKaQkh7tjBbuPGjRgxYgRatmwJb6Fhw4YYN24cdu/erc6fEEIIIV6GiCeS2yOPro6h0OMfBJxcp/2Rf+tEHzPnIZlOUl4nTqdLOQVIytCW28l6mwoU8qgTKNwNKaVbegfw0UBj0aluJ2DGj8CMZeWLTu70HrImFFucTnJe8ijLzuia52lz60DcVPolhHgqCQkJyvHTpUsX9O7dG95Gp06dVKe7lStXIiYmhp3uCCGEEG/B3crEDIWegGDA57KnISDMWPQxcaVIOZ1kOukynprHhqllVWZXnVJDW3Xtcma5Y84F4O/XgS3/0zrHdEgp3dBZQIdrAF9fz3kPuVPXPE+cWwdC4YkQ4lId7BYuXKicP2PHjvXaUrOhQ4ciNTUVS5cuxcyZM9npjhBCCPF03LFMzFDoCa8DaEq06wuzgaykCkUfCRKXTCejrnbVvbG3hUDhLHGhMBfY/BGw4Q0gL710vYh2Ax8DetymdZJ52nvIUuQayHk4SxD05Ll1ECy1I4S4TGc3EZ0CAwNx3XXXwc+vmnZrN0YEt4kTJ6JmzZpqTrKzs509JEIIIYTYEzuXiUmgd3pOoXq0GTqhRwSeonyg6SDtj/zbAtFHxKbI0IBSp5Puxj4gpMJSPYsEipFztY/WiEbWjsEWZVclxcDOb4F3ummznHSik38w0P8h4P5dQJ97KhedPK3UsKL8M2cIPZ4+tw6A8hwhxOloNBrl7rl48aLqYBcaaqN2um6MCHASrC6d7hYvXowZM2aw0x0hhBDiqdiqTMwM8Wk5+rI2yVKSsjZxHNmkzMzUiSJUxZViywDpqga0WzOG6jqjNBrg6Apg5XNA8v7S9VKu2Hk6MORpILKBy7yHvB7ObbWh44kQ4hId7A4fPoxrrrkGsbGxzh6OS3W6mzJlCs6ePYvffvtNCXSEEEII8UAM3UNSdmWjHBtxOInodCI5G8EBfupRls06n0RMkbb1y2dpH2XZWidKVV0prhAgbekYquvOOrsd+PJq4LvJxqJTy1HAXf8AE96zXnSy43uIcG5tAd+FhBCnIh3c/vnnH9XBrlWrVrwaJsTFxeHqq6/Gjz/+iNq1a6Nv376cI0IIIcQTsUOOjWQoidMpNiIIUaGBap0sy/rIUF/XybBxhQBpS8dQVXfWhRPAqueB/UuN19fvCox8HmjS3/2zkDwZzm214DuREOLUDna//PILrrjiCvTp04dXohw6d+6sOt2tWLFCdbqjQEcIIYR4KFUtEysHCe6W8jpxOglJGdoucrLebqVuZhCHlVGQuLU39o7qNGeJuGBt2VV2KrDu/4BtnwElhQbHagYMmwW0myABny77HiKcW1tA4YkQ4hTS09OxaNEiNGjQwKs72FnKsGHDVKe7H374QeVgsSSREEIqJycnRwn3pqXK8rcnICCAU0g8HhF5JNNJl/EkopMslxF/XCVjypxo4uhOc5UJNxY7o7KBTe8DG94yDqEOjQEGPQF0uxnw17rQCPF0fDQMDSGEOKGD3WeffYb8/HzcdtttCAsL4zWwAJkvmTeZv9tvv50h7IQQUg6SjTd9+nSsX7/e7PMHDx5EmzZt3Gr+MjIyVPaffHETERHh7OEQN8Mix5EdBB457vyVR5TjSsr9kjPy0Sw2DA8Nb1X+OAwRp5PkTelKAHWCmCu0sS/PhSXrd30DrJkHZCWWrg8IBfrcC/S9Dwjm7zBxf6z5u0THEyHEoYjWvWzZMn0HO4pOlhMUFFSm052fn4lVnhBCCJ566inlpBXhqV69emVmpHHjxpwl4lWIyGOU6eRqGVPlUVEJoIzRmVlGps4ocVYe/h1YOQdIPVy63scP6DpDO7c16jp+nIS4ABSeCCEOZfXq1Th06BCmTp3KcrEqEBUVpTrdffnll6rTnQSPs0yREEKM2b9/P9577z307t2bU0OIO2RMlUd5JYDZacDGdx1XfldZzlTCFmDFLCD+X+P1ba4Chs0GarOBDvFuLJCZCSHENuzduxcbNmzA8OHD0bp1a05rFWnUqJESnHbu3InNmzdzHgkhxIQmTZoo6z8hxIkUF8G/IB1TutZX5XV5hcXlZ0xVlqckYlNhrvax81Rg9wKtGBUQUtqBT4QhC8aE3IuWbWtahiglf8tnaR9lWUg9Biy6Afh0hLHoFNcLmPkXMPXb6olOhuOt6tgJcQHoeCKEOIQzZ87gp59+Uh3a+vbty1mvJtIJMDk5GcuXL0d0dDRatmzJOSWEkMs8/PDDeOCBBxAXF4e2bdvSGUo8M5PJUhzVEa6cvKhG4bF4qNv1yA5tXrXzMS0BrGoHvqpmWMn8yet0OVPyuPkjoCgP2PEVoCku3Ta6JTD8OaDN2Op3qjMcr9/lEPLiAsc5vAixIXQ8EUIc1sGufv36uOqqq3gDYCPEOSaCk3S6k65NhBBCtNx9993YsWMH2rdvr/LxgoODjX6OHLlctkOICyJd4CSQ+6XfD6hHWa4y5Tl17ImhUHPZkeS/+1tEBvlUXUTTlQDKo678TsruxAEkj7JcUQc+M2Oy2CVlKHRJQHj6WWDrx8D2z0tFp/A6wFXzgbs3AW2vqr7oZDhe/yDg5Drtj/zbmrET4iLQ8UQIsSvSgW3hwoUqBFuyifz9+bFjK3x9fTFp0iR8+umnWLBggeoQGBpaTntiQgjxIt566y1kZWWV+3yDBg0cOh5CrHE6LdoWr+8CJ4+ybHEXuMqcOrIs7iHBXi6oqjqSLEVXfqdzA0n5nSxXdB7VGZPMUWg0cGwlkHYMKMo1eC4c6PcA0OceIDDMdm40w/H6hwA+l699YKh2nS3nkxAHwDtAQohdO9j9+OOPSEtLYwc7O3e6++STT/D999/jhhtuYKc7QojXM3jwYK+fA+KeWNoFzqJSvPLEluT9wIGf7RfMXV4geEWOJGuxtgNfVcckneoO/Qrs/wG4FF+63tcf6HYLMOgJILx21c6hotI/w/GKm0pTol1fkANkJdl+PgmxMyy1I4TYjbVr1+LgwYPKlVOnTh3OtJ2oWbMmrrvuOsTHx+P3339Xgh8hhBCgqKgIx44dw549eyp0QBHiKui6wCVn5ONSToHqAifLhl3gLC7FM1eSFhYD7P+xaiVnlmIuELwyR1J1y+/sMabTG7Wh4d/fZCw6tR0P3LMFGPuadaKTaVB4RaV/huMtygeaDtL+yL/tNZ+E2BEfDe9QCCF2YN++fSp7aNiwYejfvz/n2AFIl7uff/4Zo0ePRq9evTjnhBCv5s0338ScOXNw6dIlfXnyjBkzMH/+fCXYuxsZGRmIjIxUuYkRERHwOJwRgO2KQeCXhaXFW08gK/0SwiOjcF2PZmgUHao/lohNulI8EaikY1y5pXimrpq244Ctn2jFDhFtRAgRIWbkXNuXbbniNbVkTMmHgJXPAUf+MF7fuD8wYi7QsJv1xzW9Du3GAVssuA6G4xVcbT6JV5Nhxd8lvmMJITbn7NmzqoNdp06d0K9fP86wg+jSpYvqdPfXX3+pTnctWrTg3BNCvBLJvps1a5YSnkaMGIGQkBDlepo9ezZuvPFG/PLLL84eIrFFtzEXQEQiyWCScjhxJk3p3kgvElWVRj5JeMh/KYr9k+DnXwd+PjMANLWqFK/ckjTB3mVwpo4kV6KiMWWcB9a+pH0v6krbhNptgRFzgJYjqxYabi5rS1xn4j6TzKiKroPpeF1tPgmxEJbaEUJsrnxLmHjdunVx9dVXs4Odg5EbLBGclixZgtTUVEcfnhBCXIKvv/4ab7/9Nh566CF06NABzZs3x8SJE7Fq1SosX74cFy9edPYQiS26jblQEHhwgJ8+CFzWV3c+/NKOIjAkTD0azoclpXgVlqQ5qgyuojIzVyMvHVg1F3i7C7Djq1LRqUZ9YNy7wH/+AVqNqnqnOtOsLXnMTgXaTXD8dSDESfCdTQixGYWFhUp0knIGdrBzDjL311xzjVGnO/mmnxBCvAkRltq0aVNmfe3atREVFaXK79yx3M4jsXcHNDtitfvIBvMh5XTiqtK5rJrHhqllq0r8rA3m9lRHW1EBsO1TYN3/AbkXStcHRQD9HwJ63aXtIlddygs2r9Ne+8PyOeIF0PFECLFpBztx2UiXtfDwcM6skzvd5ebmqk53xcXFvBaEEK+iY8eO+OCDD1BSYuw8Wbx4MQoKChAXF+e0sRELArBl2Q06dlXJfWSD+ZBSPsl0enpMO/VYpdI+a4K5K0EcXuk5headXq7oaJPPhb1LgHe7A38+WSo6+QYAve8BHtgNDHjYNqKTUJHLzIbXgRBXhuHihBCbdbBbt26d6q7Wtm1bzqoLcOrUKVVuItlPY8eOZdkjIcRrOHz4sMoYrFWrFgYNGqScn3v37sX69evx4Ycf4vbbb4e74dHh4q7qiLFVxpO1IdtuNB+Vnr+IZ8tnOSbM3BJOrANWzALO7zJe33EyMPS/QM0m9ju2K4atE+Kgv0sUnggh1Wb//v0qU2jo0KEYMGAAZ9SF2LFjhwrRvfLKK9GzZ09nD4cQQhyGOHCls510/BQHqOTf3XXXXejatatbXgWPFp48uatdVUUkN5gPizrsyXmsnVcarK0rM5NSP1ueV2XzlbgPWDkbOLbSeH3TQdpOdfWvsN1YCPESMtjVjhDiKM6dO6dK7KSsoX///px4F0NusKTT3Z9//qk63UnALiGEeAMxMTF44YUXnD0M4s4d0CxERBazmU7mupnJsiWiixvMh0UZV7oyM534Zo8Q7YrEvUsJwJqXgN0LJBii9DV1OgIjngOaD6t6aDghxGJcUz4nhLhVB7s6depg3LhxLOVyUUaOHIm0tDSV9yRh43IzRgghnobk2UneoL+/v/7f5SHbEGL5m6uK7iNHBac7yR2ly7gSx5MgGVcSdl4m48qeYebliXu9/gNsfAvY/BFQnF+6fWSctqSu43XSkcV24yCEVAh/2wghVe5gt2jRIiU2TZ06lf+Jd4NOdzVq1FCd7qTkhBBCPI327dsjICAAhw4d0v+7vB/ZhhCL3TRSKiY5RfIoy64UnF6d8VUTXYc9Ka/LKyyuuMOevUK0TcW9sNrA8TXAu12BjW+Xik7BUcDIF4B7twGdp1J0IsTBMOOJEGI18i3yDz/8gCNHjuCWW25BvXr1OItuwIULF/DJJ5+gbt26uP766+HnV42uO4QQ4mJs2bIFOTk5Ks9u37596t/lIduEhtqoY5WD8PiMJ1fEFvlE9gwKd1R+UnUyruyNbg5SDgMFWUD8JqDI4As2vyCg153aLnUuXrpIiLvBjCdCiF2RrkASKD558mSKTm6EdHeSa/bNN9+ozCfpdEcIIZ6CYQMFc80USkpKlAOUEIeWytmzzMxRpXxVzbhyBL5+QK1mwI4vgewUgyd8gM7TgCFPA1FxzhkbIUQP//oSQqziwIEDWLt2LQYPHox27dpx9tyMpk2bqg5327Ztw9atW509HEIIsQuZmZl48MEHUVRUpJa//PJL5RISh+6aNWss3o9kRUmW4R133IEZM2aoLnnmnFQJCQl47LHHVFmzPMpyVbYhLoatSuXsVWbmHwIERQAZZy0fnziEZFt5dHfObAe+GAv8dLex6NRiOHDXBmDiB1UTnTxpjghxEZisSAixmPPnz2PZsmXo0KEDBg4cyJlzU7p3746UlBT88ccfqtNds2bNnD0kQgixKdLNLi4uTuUP5ufn4/7778fzzz+vBCkRkY4ePWrRfoYNG4b69eurL1uCg4Px1ltvqZLlTZs2ITw8XG1z5swZ9bnat29fTJo0SZWiy/L27dvRsGFDi7chLogjOrJVFV0Jn4hO2amAb0Dl47Nn2Z8jS/EungL+eAI48qfx+npXACPmAs0GVX3fTpojQjwdZjwRQixC/rP+8ccfq4Dqm2++WYWzEvdFSk6+++47nD17VnW6EwGKEEI8hT59+uCdd95R4o44nB544AHs2bNHPRcbG6vKxWvXrl3pfpKSklTnVh3SIVRy8j799FPceOONat0999yjjrF3716VnScuKwk3HzFiBN59912Lt6kMZjzBeV3gDLYvgq9NRJRqiTGm2U7pCUBEPWD4XCAo3OZ5UNUZa3xaDhZti0dqZr7qgCfh442iq5ivlnMBWP8qsOVjoKSwdH1AKNBsKDD5c8A/EO6emeWqODXLi7gkzHgihNilg50gHewoOrk/knNy7bXXqm/updOdiE/ybT4hhHgCIu6ISCRIpp04lwwbZEhHVkswFJ2EqKgohISEqP9s65D9X3fddfqGDeKymjBhgnI1WbMNcRBVcbRcLpWzhYgiN++HEzPx655zuJBdULX9GGY7SZZRxnkg5Qjg/xLQ43bz51PFPKjqnLOcq7z2RHI2YiOC1KMsPzS8lXXCRUEOsPkDYMObQH7p7x78g4HG/YGaTYDiAqAwu3rCk4tkZrkiNhUQXYikjDwEB/ghMoRfqNsbSpWEkAqR/6D//PPP6ltfEZ3E8UQ8AxGapk2bhuzsbCxZskS5oAghxBMYNWqUcjk99dRT+OCDD1RjBUGcTuJYiomJqdJ+xfkrGU8jR47Urzt16lSZcjkp85P11mxjipQIisBl+EOqiThaRHQSR0tAiPZRli3I8jEUUeRGVSeiyHprbt7fWHEEj36/G8v3J6GwuKRK+9FnT0mZXcJmICsRCKoBXDxd/vkYviYzUftYSR5Udc9Z3DEiVIjoFBUaqB5lWdZbREkxsONr4J1uwKq5paKTZFvF9QKaDQGimwPZyaXnYkU+k5xHek5h6fnYKtPLw7DFe9+VKC7RYM2hZNz+1Tb0fXk1Fm6Jd/aQvAJ6BgkhFfL333+rttTijpGcC+JZSImdfAv/9ddf46+//lLB44QQ4u488cQTyq27Y8cOvPbaaypbSRCR/eWXX67SPjds2ICHHnoIL730Elq1aqXWScmciPahocbf/MuyBJPrws0r20YcUKbMmzcPc+bMqdJYie0dLaYiiqATUSzp6Ka7eT+SmKn+XVhSgoSLuWhTt4ZV+zHKntryCZB8CAivC8Rd7uSoRKUzQERD4/Iw+XezwcCpDdrXhMUAvQZXWEJW3XOWkixxx4hQISRl5KN5bJhaX2Hpo0YDHPkLWPkckHKwdDsfX+15S+lbUX7Z7C0pObTQzVaug8dVM72cSHXfB67C+fRcLN56Bou2xuNcep5+/YIt8bhjYDOLnbCkanj3bxEhpEIOHjyoMikGDRqksiiIZ3e6+/3331XmiWSiEEKIOxMYGIi5c+carRPxZ/bs2VXa3+bNmzF27FjVKe/xxx/XrxfBKCwsDBcuXDDaXsr8JHxcJyhZso0p4tZ6+OGH9cvieBKXFKkGOkeLOJ0EXYaPBY4Wi0WUSm7e60eFID2vEMkZebiYXYBzl/LQpl4Ni/ejRwSVYc9KYq/W6SSkHQMKsoF1rwI16hoLLyLunFirFZxqtwZy0rTLjfoYCysGIlB1z1nK6UTQ0Qk88lpZNiqzMy19rNcZ2PwhcPof4521HA2MmAPEtildJwKUTrASDPOZdG42M/lMFZYAynwZ7tfLRSehuu8DZyLXeu3hFCUurTmcjBKN8fN1IoIwrnN95BeVKDcXsR/8TSKEVNjBTgQnEZ6IZ9OjRw+jTnciRhFCiDs3xHj22WeV20mEnS+//FIFfEu5uDRWGDJkiMX72rJliyrdu+uuu5QLyZTOnTtj9+7dRut27dql1luzjSlBQUHqh7hGlzqLRBQLb97jaoUiLasAAf6+aFUn3Kr9GBEQrM10kvMRp5OIToHhQGBYWeFF5/aKaKB1d0k+kqnby0QE8u9yQ7XOWRAXkQg6ZkOpjUofQ4Fd3wJ/v2a8AxGR6nYC6nYA/IPMZm8ppDTOQjebOQfPhYxsZKenITKypvF+SbXf+87g7KVcLNqagMVbE5CYUepuEnx9gMGtYzGtZyMMaV3bpc/Dk6DwRAgpQ1ZWFhYuXKjcL+PHj6f11EsYPXq0+gZ+8eLFuP3221GrVi1nD4kQQqrECy+8oNxBIjpJVtL999+P559/XglSd9xxB44ePWrRfrZt26bynER0Kq9ET7rbPfbYYzhy5IgqwTt06BB++uknvPHGG1ZtQxxENRwtFYooVt68j+5QF2M71kPrujWqd+OrOx8prxOnk4hO5oSXytxehiKQgWOo0eCnqnzOhudutiRLxiZurbTj2pI6jUFmUK3mQJ322rK7iPoVOpisdbOZOniK005iXPEq1FhfBNSoY1ngvJdRnfe+o5DMtNWHkpW7ad2RFPXWMaReZDCm9IjDdd3jlPOQOBYfjSQHE0LIZSRr4osvvkB6eroSHyIiIjg3XkRubq5qEy517rfeeis73RFC3JI+ffrgnXfeUaXDUjIuQeN79uxRz8XGxqqQcflypTIaN26M5ORko654wqRJkzBz5kx9CZ/8WzrUderUSTmbJBfxs88+Ux1ELd3Glm2riRe2pBfhyLDUTCe8GAo1FXX0E8fQ8lna0HURqmS5MBcYOdc+7h9xZ/3zDrDhNaC4sHS9OJ+GzwHaTwBWPW/deKzoWKjLeBKn07hLX6NTcDLCohuanzfi0iRcyNG6m7YlIDkzv4y7aWibOpjeKw6DWsXCT1YQm2HN3yX+NhFCzHawu/nmm/kfWy9E2oRLp7tPPvlEhfBOnz7d4psiQghxFfz8/JSDU/jzzz+NhCP5W2dpiKx0sSsoKCizvnnz5vp/y2ekfGHz3//+FydOnECzZs3QokULo+0t2YZ4B+W6fxxRRliR26sa+VdWoZxVXwFrXwaykkrX+/oDDXsAY17TltXJdtaOxwo3m97Bk56mnE6+gQ2tDpwvc17MhXKou2nlgSR8tyUeG46llnE3NYgKwdQecZjcPQ51I4MdNzBSLnQ8EUKMOtitXr0a11xzDTp06MCZ8WLkxuibb75Bz549VQkeIYS4E1JW9+2332LixIl47733lPgkne3E6TR16lTs3bsX7gYdT8TuAkh5jqEq7tPI3SVOk0O/AivnAGkGpa4+fkDXG4He/9GW1xnu3woHk12dYpXhiHESxem0bCzcmoDvt51Bapaxu0ncTMPbarObBrSsTXeTi/1dovBECCGEEEI8CnEpSc7Tjh07MG7cOJXrJMyZM0eV30mHOneDwpOL4gJOF5uW75meTxVFFV0pm+RZddYcwjUXPkbQ+a3GG7UdBwybDcS0cO78Vkc4soVwRSqkoKgEyw8kYuGWBOVuMiWulribGmFyt4aIjaC7yZFQeCKEEEIIIcSDoPBURewpXLiA08VQ4JHAbAkwlzIym1BFUUWEsPkrjyD7zEFMyfgMbdPXG2/QqA8wYi4Q1xNu/z5xdDaWF3EyNRsLt8RjyfYzSMs2LnkWB93I9nWUu6lf8xj4MrvJKTDjiRBCCCGEeD3Hjx9XneQGDBiA8PBwFBcXq/wn4iXYUxgqpwucI50uIvCI6CTd2WIjtF3aZFmyi2wSXC5CjMydnJ8V+Uc5aWcx8NAL6H7xd/ihWL++OLoV/EbMAVpfCViYs+Yw5JpVRShyVDaWl5BfVIy/9idhweZ4/HtCm9NnSOPoUOVuurZbQ9SuEeSUMZKqQf8fIR6C/Gd67dq16NWrl/rPteF/ukWN7tKli37dmTNnEB8fj5o1a6q2zob/CU9JSVFtpsPCwtCmTRsEBfFD3VvZuXMnoqOjERoaimPHjqn3Vfv27Y1CebOzs9VNnXRDlKBceU8RQoizycvLU80Rli1bpj6zDhw4oP6mPfrooyrY+7777nP2EIm9sbcwVEVRxpZIeZ04nUR0igoNVOtkWdbbJMDcWlElPxP4523U+Pdd9CrM0a++5BeNTY3vxPBpDwEB2nF6DJdD3Yt3fI3i9CT4RbeEn2moO6mUY8lZyt30w44zuJhj0OVQGh36+WBU+7qY3rMRejeLprvJTeFvBCEegohHy5cvx6VLl1Q4uA5pJz1o0CAlPEk757feeku1cZb/gJ89e1aJCpJ5ERwcjHXr1uH9999Hx44dlZBw8eJFzJo1S4kPxPv48ccfkZubq34aNmyIgwcPom3btnjiiSfU83IjN2/ePDRo0EB1w5NluZnr37+/s4dOCPFy/u///k99kSJ/54YOHapf/+STT6q/h/fee6/Fne2Im2JvYcgFnC6S6STldeJ0EpIy8tE8Nkytd1inPKGoANj+BbDuFSAnFbrfrHy/UKyJno5DTW7ApF6t4e9potNl4jV1sLhoErKKLiG8KArXaeqgkYvmgbkSeYXF+HNfoupMt+XkhTLPN4sJw9Secbima0NEh/OLcHeH73hCPIgxY8aoLj6TJk1S/6E+fPiwcjbp2kj/9ddfyp0i4pIITiJEiegkAoN0+VmzZo16lC5Awrlz55QARbwXaTs+f/58+Pv7IykpCbfffru6matdu7YSNUeOHIkZM2aobVeuXKm6R11xxRVGrjtCCHE08nkk4eL169c3Epjq1KmjHuVvY+PGjXlhPJmqCkPWiAPtxgH7fwSyU8sXZeyIlNNJppMu40lEJ1m2uMzOknOV0kRxiZnbTnrY718GrJoLXDxZut43AOhxK/z6PYI+/jUx3Bah5y6KvtwxRZxnUTiekm++3NEF8sBchSNJmViwJR5Ld5xFeq6xuynQzxdXdqyrspt6Na3FLwg8CApPhHgQ0ir6k08+wa5du9Q3utI+uk+fPvr2ltLdp169evj333/1r5HnxMkiyGvkP+u1atVCu3bt1H/YiXfTo0cPJTrpbtjE2ZSWlqYcduIkGDFihH7bIUOGKFHz1KlT6NChgxNHTQjxdqQMWFcqbig8SVm6OINZRu4FWOrWMcRSccBwu7AYoMdtQJ32TnGxSJC4iBxWd7WzRggxl3908m9gxSzg3A7j9e0nAcOeBWo1UzeakXAeNu32V51yRxfIA3M2uQXF+H3veSU4bTt9sczzzWuHKbFpUteGqBXmmc44b8c73umEeAkBAQFKCPjjjz/QsmVL/P3333j22WeNMi+ysrKwd+9e/ToREKTsThg/frwqs5Nsn3fffReZmZkqD4MClHe/pwzx9fVVTjlpVS4Y3rzJe0lEqvz8fIePkxBCTL+I+eqrr9C7d2+98CQOTnH5xsXFoW7dupwwN8ciUaEit44plooDptulHQMO/qwVnpyEnL9VmU7VEUKSDgArnwOO/mW8vskAQILDG3SDK2DXbn/Wlju6QB6YsziUmKGCwpfuPIvMPOMqikB/X1zVsR6m9WqE7o1r0t3k4VB4IsTDGD16NP7zn/9gyZIlyrnUqVMn/XMS/nz69Gk8+OCD+nXyH/HU1FT1bymhktBV+ZGcqFdffRW//fabKq8ixBAptZMAeskLGzx4sFp36NAhJUixfIUQ4myefvpp5fiVbnaJiYlKcBJ3r2TR/fzzz84eHnGkqGBptzJLxQE3EhHKFeeqcg7pZ4E1L0Gz+zv4aEpK18e21wpOLYbbvFNdVR1Ldu/2Z225owvkgTmSnIIi/LpH627aGX+pzPOt6oQrd9PELg30LjHi+VB4IsTDiI2NVRk7S5cuVdk7hiUG1157LR577DHMnTsXXbt2RU5ODrZt26aCV0Ww+vjjj5XDRQKkpUxBSvPuvvtup54PcU3E3STvrw8//FBlgYnz6aeffsK4ceMQExPj7OERQrwcKSuXv2Fvv/22+nySTCf5u/f5558bdXkl7oclokKVBAtLxQFXFBHMZDVVKM5Zcw65l4AN84HNHwJFefrg8IzAWBQOfBrRfW8EfG0UZm4jx5Ldu/1ZW+5YlbJPN2T/uXQs3JKAH8XdlG/sbgoO8MVVnepjWs84dG1Ed5M34qMRuwMhxKNYu3at6l732WeflWlvX1hYqELExfkkeT29evVSZXmClFBt3LhRfSMsApTk+zCrx3uRNuSNGjVCt26ltvkPPvhAlWTqyi/379+vxEsJoZf3iryfCCHE2Ui5uDTL8CQhPCMjA5GRkUhPT9dnN3oj6TmFeOn3AwgO8FOiwqWcAtUd6+kx7RAZGlC9EquqZDw5OyjazFiKIhtj/sojenEuOSMfzWLDjB0/lZ1DUT6w9RNg/atAbmkmT45vGDbUvQm/Bl2NuLq17OIiEuGw0vFb8Xpd+Zv+9c7qLueBx83OL8Ivu88pd9PuM+llnm9Ttwam92qE8Vc0QGSIcXwD8a6/SxSeCPFARHQSN9NTTz3l7KEQQgghDkecv19//bXKLfQUKDxVLioI1REsrLpJt3A7uwZcyxjWzivNaso4C9RsjPQ+T+Gl5SfKFecqPIeSEmDfEmD188CleP2mGr9A/B01ERvr34ygiJjy9+kAcdESyhUgXUk0dAR2Ot+9Z9KxYGs8ftp5FtkFxUbPhQT44erO9VQ53RVxUcxu8mAyrBCePMvfR4iXc/LkSRUMvn79esybN8/ZwyGEEEKcgpTTbdiwwaOEJ1J5po4IFpaWWFVbELIgO8ruAdeGWU26HKbkQwjXAM0DhmFnRlT5gdfmzuH4Gm2nusQ9Bhv5AJ2moHjQU9i8LQ+nRdTzLyh/n9ZgIHwVwVd/PSwK7K5K+Zszu8s5w+1k4/PNzCvEz5fdTfvOZpR5vl29iMvupvqoEUx3EzGGwhMhHoSEg0vejuQ4tWql/eaPEEII8TbGjh2L2267DQkJCapsXErLDZHQcWmQQNyT8jJ1LBUsHOGGcUjAtS6rKeWQVnTKSgTC68Lv0mlMDluLlKjJuJRXbD7w2pDze4CVs4Hjq43XNx8KDJ8D1OukbhqndC+dt0r3WRkGc53uVxOLigfheGGM/npUGthdlW5/zgqGd5bLygbnK6k8e8TdtCVeiU45Ju6m0EA/JTSJu6ljg0i6m0i5sNSOEA9FwsE/+eQTFao6c+ZMBAayawSxH8XFxaqsRcRP6YIYFaX9lpUQQpyBZM5Jp83ykHy61q1bw51gqZ1lVOYyKjc/aGgz+K9/pdQdogvcrqI7xBblYhaLGls/Bg7/BQTVAOJ6KWfKyfMpWBJ9BwLCa+H6Xo3RrHZ42ddKKd3qF4A9i0ViKF1ft5O2U50IT/YoHTQoESwJr4ujx4/ieEl9bG1yBxIzi/XlkYJNyxRNSxOreY1d9pg2OHZGXqEqo/tuSwIOni/rburUMFKJTVd3ro/wIHpZvJUMltoR4t2ICLB48WIVJH7zzTdTdCIO6XJ33XXXKbFzwYIFSuwU0ZMQQpzBvn37OPFeSmUdxsrteJaZjkgbumFsUS5mEeKcGToL0PgAl06hRFOCc2dO4ExJffgF18C5i3n4YccZY6dVzgXg79eBLf8DigtK9xXVCBj6LNDhWsDX1zIXUTWdOAX+EUhBTdTxTUftoCKU+AQblEcG2LYLnYXd5Wyay+Usl1UVuumJu2lnwiUs2ByPX/acQ15hidHzIjDp3E0dGkTad+zE46A8SYiHIX80fv31V5w9exY33XSTCnwjxBGEhoaqLlKffvopli5diilTpsC3nP+4EkIIIfaiInGkXEGoRqS2DErcIYLOHSLlbFUcgy3KxSwiIBjoeZsSGIouJeKMb0McqXs1IsJCUeJTUCrkBOQDmz8CNrwB5Bl0IBMBZOBjQI/bAP8g++cW6UoEU48gMFyD2rioHE8p+f5IyrSTQGco1Injp5xxGzrmaof7YUrHWoirG1t1d5LBudrifWXr89W585btPIMFWxJwOCmzzPMSED69ZyOM7VQPYXQ3kSrCUjtCPIx///0Xy5cvx4QJE9C5c2dnD4d4IUePHlWupz59+mDEiBHOHg4hxAv55ZdfVJcdcwQEBKBBgwbo1auX+re7wFI722HXjCcTMcauXe3MHLsoNwNvbjiH4ylaV5cIay1qB+Oh2J3wk7KrjDOl2/sHA73/A/R7EAixskS+qnOlm5/sNGD3gnIzniwJYbf13BqWYbYOSkWrcz+hYUAm2rduCb+uMyo/v/KEOBfspCdfVG8/fRHfbYnHb3vOI7/I2N1UI8gfE7s2wNQejdCufsXdyoj3kmFFqR2FJ0I88Ia/b9++GD58uLOHQ7wYnQA6fvx41dacEEIcyeDBg1VXOyk9l2Dx4OBgXLx4UT1Xs2ZNXLp0CQ0bNlQO4U6dOrnFxaHwZFvKFS2q033M1gJDFceiF9Yy8tCjeAfGpfwPgWkHSzfw8QU6TweGPA1ENnBcdpDp/HSeCoTFlOlqZ4mIZI+OgbpcrlB/DUalfoEamSdx0a8WesYUILBOm4rPr7Jr74yudmaQrLEfdpxVYeHHkrPKPN+tcU1VSje2Yz2EBNrJdUY8BmY8EeKFJCcnY8mSJaqb3bBhw5w9HOLl9O7dW70n5aYuOjoacXFxzh4SIcSLePTRR5GamoovvvgC3bt3V+vOnz+vur6KEPXaa6/hwQcfxC233ILt27c7e7jECTfn5ZbjyXGrkr1jaet6S8+xGiKWyrlqlw2smAX/+A3GT7YcBQx/DqjTDg7NLTI3P7sX6udHZsKSPCcRDNNzC7FwazxOpti2Y6CuDDPxfCICclKQpKmJoNBa8I/0rfj8LLn2VX1f2cjdtOXkBSU2/b4vEQUm7qaIYH9M6tpQCU6t6zqoBJB4Hcx4IsQDyMnJUU4n6SQ2ceJEtjIlTsfHxwdXXXUVLly4gIULF7LTHSHEoXz00Ud444039KKTUK9ePSVExcbG4r333sOHH36o/m5mZmaiRg3ebDkdFyxHsrkYY+k5WipimePCCWDV8/Dfv9R4ff2uwIi5QNMB1T/XquQW2SBkW+dyOncxF4cSM9G2foRxQLwKJK+68KTL5Vq8tQiXsmqiof8Z1K9VC75ZiRWfnzMDxCvgQnYBlu44o8rpTqRoM80M6dmkFqb2jMOYjvVU90VC7AlTXwnxkA52BQUFmDZtGjuJEZfrdBcYGKjEJ3mPEkKII0hISIC/f9kbdGl4UFJSotxP0nlTyu7y8vJ4UZyNodASEFIqtMh6d0DGWVysLRsTESb3ovZRxBmdWGHNOV4WMkrC6yLPP0I96oWM8shORclvj0Hzbk/AUHSq2RS49nPg9tW2EZ0Mu6WJGFOYW2m3NCOxqrz5scDpJKKTuJvCg/2Va2dX/CVczC5QOVbiVLJFILm4xR4c0Q49Jj2AFu26ooZfYeXnV81zs7W7aePxVNy3YCd6v7QKL/x20Eh0igoNwK39m2LlwwOx+K4+yulE0Yk4AjqeCHFj5I/Lb7/9pv6DLR3s5JtbQlyJsLAwJYgadroTNxQhhNgTaW7w+OOPKzdwy5Yt9VkUTz75pHI3Sb7TkSNHlPBUu3ZtXgxn46KOEYswdDH5BQJhsebFGGvOMbCGCtxOPL4HKaipur7VbdYJkeaEjIJsYNP7KPn7TfgWlmb2FIdEw2/wk0C3mwF/rSvI0d3SzIpVurmyRKwyQNxM4mqS0jpxOXWOi8TBxExk5hVa1DHQmiByeT6ifkugztOWnV81z80WpGbl44ftZ7BwawJOppZ1N/VqWgvTezXCqPZ1KTQRp0DhiRA3ZvPmzdi5c6cKcG7UqJGzh0OIWaSs5ZprrlE3gKtWrWLwPSHE7rz44ovKcdm6dWvUrVtXhYufPXsWderUUZ9F4sjctWsXvvzyS14NV8DZLeerimlJnIw7ugXQ524guKax8GDFOUrQtnR5a1iSijq+6TheUh/rigdhJnxLb97k2Lu+Bda8BGQl6stYCnyDsSJyMo61uBn3dO9q30561uYWWStWmclfEseTkFNQgsGtauO2Ac0QGRJQ4XlWGEReUeaWNedXjXOrKiUl4m5KU9lNyw8korBYYzyksEBc260hpvSIQ/Pa4XYfDyEVQeGJEDfuYCddw+RbXXYNI66OhN5Lp8WVK1cqd0Hnzp2dPSRCiAdTq1Yt9XkjX9Ds3r0bubm5aN68OUaOHKnKfwURpoiL4AKOkSphzsWUnQr4+psXMSw8R3HmHC+Mwfkmd6B2UBFS8v2RU+ijzTAK8QEO/wGsfA5IPax/TTH8sDP6KuxodhfOFkUgL7e42plHdqGKIdu6/CWdgKRzOUWHB1lcolcmiDz9tG1zxRwUIJ6cmYcl4m7akoD4Czllnu/bPFoFhY9sXwdB/sxuIq6Bi3+aE0LMkZKSgh9++EGVD8jNPCHuQN++fdV795dfflGd7qTUhRBC7EmvXr3UD3EDnOAYcbhTy8JzNHT3lPgEI+my0BKWsgNYNRuI/9do+5LWY/FFyI3YllkbsUVBKvNIba/LPHJgt0B7orr1DW9lccmcuRI9fRB5bj4iqxrgrsOB8yrupr+PpWLB5nisPJiEohJjd1NMuLib4jC1RxyaxITZdSyEVAX3/eQhxMs72EVERGDSpEkqKJUQd+10FxkZ6exhEUI8GCnvlZJ0+dspX9ZIaXpo6OUSG+J6OLHlvMOcWrpzFNFCgqjNiBam7p7uNdIwPfk1+P/7u/G+GvYERj4P30a9MSItBxdM3EBKmHH3boEmyDlZ4+IyLdHTi3LIrV6umG5eMxOB4Cig+81AjDZPzpYkZeTh+20JKrvpzMXcMs8PaBmj3E3D29ZBoD/vCYjr4qORdGJCiNt0sPvmm2+QnJyM2267TYWiEuJuZGdn4+OPP0ZISAhuueUWfdkLIYTYivT0dCUy/f3332jatKn6vDlx4oRqwrFkyRJVpu5uSDi6iPVybvLlk1fjag4ea8djoRhUlJ6I4jUvI3D3V/DRFJc+Ed0SGD4baHOVfKtTfoC2jGvtPOMMKhHHrHH1eABmM56iAqs+N7p5PbcTyLkA5KQBEfWB8e8BMS2qPd7iEg3WH0nBd1visfpQslo2pHaNIFzXvaFxVhUhLv53yXs+cQhxc0Qj/uOPPxAfH48bb7yRohPxiE53y5YtUzkr7HRHCLElL7zwgvoPsXSuk2wnISsrC0888YTqAivriZviig4ea5xapoHk5kq88jOBje/Cf+M78C806FAWXgeQTnVdbjQrjhi5geQ4GWe0jhx37BboiBK9quaKyfzJvIroJNcnKALIOAds/wwYPrfKot759Fws3noGi7bG41x6ntFzoi8ObFlbuZuGtY1FgD1D4wmxAxSeCHETtmzZgu3bt2PcuHFo3Lixs4dDSLWQzlLS6U5K7tasWYOhQ4dyRgkhNkM+V1599VW96CSEh4fjnXfeUcHjZ86cYc6cO2KJaOMilHEfVRRIrhODAsOBHV8Ca18GslNKXyPr+z0A9L4bCAqv/BiGZWBpx7Svj27uPt0CHVWiV9VcMdlWyuvE6SSiU0kBEBoN5KZbLerJNVx7OAULt2rdTSbmJtSJEHdTnPqJq0V3E3FfXOsTmhBiluPHj+Ovv/5C79690aVLF84S8QikzfmwYcNUBot0uuvYsaOzh0QI8RDERSnl6aaUlJSo9cxHdFMqEm1cyMFjtrRLVxJlLpBcSueOrwHWvKgVinRId7xutwCDngDCa1t2DFNxLjAMKMgCCrLdp1ugq+eKyWsk0+nsNq3TSUSn0FpAjboWi3pnL+Vi0dYELN6agMQMY3eTrw8wuHWscjcNaV3bohB1QlwdfuoQ4uKkpqbi+++/R4sWLTBixAhnD4cQm9KvXz/1Hv/pp59U+Sg73RFCbMGoUaPw8MMPq2YcOlE7LS1NrWvSpAnq16/PiXYC5Tp0LOWyaFOScgSFRcUIyEmCb+3WLuXgkXMUQUjCrKWTmjzKspR6qXM2DSQPCAWOrQA2vG68o3YTgGGztE4la45hKs5Ft9CKToMeAyIaUnSyFRIkLplOUl4nTicRnSoR9eS6iatpwZZ4rD2SAtOk5XqRwVp3U484NIgKsdlQCXEFKDwR4sLk5ubqO9hJWRK/oSWe2ulObggXLVqkQvPZ6Y4QUl2efvpp7N27F506dUJMTIwKFz937pwKGpcvc4iLuYAsxc8fZ5tei/gTH8Ev8TyKw2LRqOe1aOBCDh4R1uQcRRCKCtU2z5BlWa8v9ZISr/YTgZWzgWMrjXfQuB8wYi7QsHvVjhFkxlElTieKTrZHgsQl06mSUr2ECzlad9O2BCRn5pdxNw1tUwfTe8VhUKtY+MkKQjwQ1/mUJoQYIaUA8p9jEZ+k7XxQUBBniHgk/v7+mDJlCj755BOV+cROd4SQ6hIaGqqclNu2bcPOnTvV31KdczggIIAT7GouICv2891RH5wKmo6GtYpwJtsfTY764KHGJS5TjiRuLhHW5ByFpIx8NI8NU+sVGeeBtS9pHU+aktIXijg07DmgzRijTnVWH0Pmoaqh2cRmpXqFxSVYeSAJC7Ym4O+jZd1N4mia0iMOk7s3RL1IupuI58NPIEJclD///BOnT5/GjBkz2MGOeDwS+jt16lR89tln+PHHHzF58mR2uiOEVJmJEydi/vz56N69u/ohbuACsmI/MZGhCA4NRIx/QZX2Y09EABM3l87dJYKQLPsXZgJr3wL+fR8oyi19QVgsUL8LEFYbOLcDqNOu0i595R5DJ75dDs0uys1ANkIQFhLEmz5blnxWwOm0bCzcmoDvt51Bapaxu0ncTMPbarObBrSsTXcT8SooPBHioh3s5Fvaq6++WmVREOIN1K1bF5MmTVIld2vXrsWQIUOcPSRCiJty/vx5JCcn82+oi1CpC8jB+7ErxUVoFJqPh4Y2Q3ahD8L8i+G/43Ng3f8BuRdKt5NuaH3vB/IzgYsntSHgVnTpkzJFcYyVJ6DEXyrAom3J1Stt9EBsUvJpQkFRCVaIu2lLPDYcSy3zfMOaIUpsmtytIWIjgqt1LELcFQpPhLhgBztxO/Xq1Qtdu3Z19nAIcSht2rTB0KFDsXr1atXprkOHDrwChBCrmTBhgnJQ9ujRg+5JF6BSh46FLhRL9uNULpzUl7j5h9VGpHSi2/whcPFU6Ta+AUDP24EBjwK+vsDyWVXu0ifnbc7pZavSRk/D1vNyMlXcTfFYsu0M0rILjJ7z9/XByPZ1MLVHI/RvEQNfZjcRL4fCEyEuhAQsL1myBM2bN8fIkSOdPRxCnEL//v2RkpKi73TXoEEDXglCiFVkZ2fj008/xd9//61K7SRc3JA5c+agTp06Fu0rPT0dX331lXIjSwadiOOG/PXXX/j666+N1vn5+eHLL780Wiefa//73/9w4sQJNGvWDHfeeacKPvcWKnLoWONCqczp47RyrOIiregkriXJbjr4E5CXbrxNh2uBfg8Ase20jiZ5jbkg8Gp26bNVaaOnYYt5yS8qxl/7k7Bgczz+PZFW5vnG0aFKbLq2W0PUrsF8VkJ0UHgixMU62EnWDTvYEW/vdDdu3DhcuHBBhY1LuL50diSEEEvJyMjA+PHj9SKU/Jg28LCEn3/+GXfddZfKjJKGH/369SsjPB08eBDr1q3DvHnz9OtMu9AmJSUp91WrVq3UuCTL7qOPPlJl9bGxsV5zYc05dKriQinP6ePUcixxKaUcBs7vAtITjJ9rOgjodRdwdjuw5WOt2CSB35LFZE0QuAhVlXRQc0pJooXjcjbVmZdjyVlYuCUeP+w4g4s5hUbPBfj5YFT7upjesxF6N4uu3N3kJvNFiC3x0WhMM/YJIY5G/gP83XffqUwKaSdfq1YtXgTi9WRlZeHjjz9GWFiYchmwExUhxNEkJCSov8nyOSRfDL322mtKiDLkzTffVF059+3bV+5+Hn74Yfzyyy/Yv38/AgMDkZ+fj7Zt2ypB6/XXX7dYTIuMjFQOLE8S49NzCvHS7wcQHOCnXCiXcgqQV1iMp8e0Q2So4zsQihA2f+URvRCWnJGPZrFhFZdjXUoAVr8A7FlovF4Cw8e/DzQbAqx7WetskrK6y86mooFPaHOgAjTwL8ouK0QYChQiZukEKkPhyoFZRuWWF+74Csg4C0Q0ALreWGk4ul2pRNSxZl7kffjnvkR8tyUeW04a5HNdpmlMGKb1jMM1XRsiOjzI6nJMS64jIa6MNX+XKLES4gKITf/UqVO44YYbKDoRYtLp7vPPP1fugGuvvZZZLYQQq5EvdcRV3KhRI/j7W/df37i4OIu2kzK6u+++WwnkUto3ffp0VW6n49dff1W5UyI6CUFBQUp0kvWWCk+eiqsFhltVjpV7Efj7DWDzR0CxQQezgDCg6UBg1ItAdHPtdiI0GGQ5ZaWdw2fLd+FsblCpABLib16gCIsB8jKA7Mv7sCCE3CEliSLybHwXOLkO8PEFzu7QjvPKV5zj5LFA1LFkXo4mZWLBlgQs3XkGl0zcTYF+vhjdoa4KC+/drJZ1/y8xLMe08DoS4il4b5EvIS7C1q1b1c+VV16Jpk35jQchhtSrV0/dnB04cECVshBCiKW8++67qltm/fr1VXaiuJbErXTp0iWbT2Lnzp1VcwTJjXrmmWdUSZ64mnRIrlPjxo2NXiPLsr485PXybbLhjyeiCwwXV5E4TJwdGK4TwsTpJO4rEcJk2UgIK8wD/nkbeOsKYOPbpaJTcBQwfA5w/3Zgyjda0UkQ940IIeJ0yr2Ikoxz2JsehMNpUE4vXXmhuK3kJz0rF8U7vtYKEwEhQPIBIGEzEF5HK1yJaKELIa8AbUligP3mMveSdlwlhUBguPZRlmW9ozEUdWTOdKKOrLdgXuS998P2M7j2g40YMX89PvvnpJHo1Lx2GP47ti02PT0Mb0/rgj7No63/Mkyul6EAaeF1JMQToLRKiBOR/3D+8ccf6Nmzp/qGlBBSFilHGTJkCNasWaM63bVv357TRAipkHfeeUcJQLNmzcLgwYMRGhqqSuGef/55TJ48GStWrLDZDF5//fV48MEH9cs333yz+tySMTz66KMoLCxUJfXi4jSkRo0aKCoqUj/mnFiSGSUh6N6AowLDLaHCznklJcDexdqyOsMcJ78goNedwICHzXejEzeLQZZTQVQLrC/phZiwUCNX1eHETPy+7zyyL6ViUupRNK1XGzVkfxJWnn4WSD+jdRbZKIS82vjoEltEgJF/+5isdyCmok4FHQINg+OPpUh2UwKW7jiDjDxjkSrQ3xdjO9ZT7qYeTWpW33WtEyBtHCZPiDtA4YkQJ3awk6BS6WwzatQoXgdCKmDAgAGqlEVK7qTTnTgYCCGkPL755hsl/Nx00036de3atVMitnTKTExMVG4oWyCCuCHy+dSnTx/VBU+Q8jvpqnfx4kWj7aSBgghi5ZX/PfXUUyobSoc4niwt/XNH7B0YXm0h7NgqYMVsIGmvwZY+QOdpwJCngahKro2UfElJVUEm/P3D4Lv6BJINygubxoTit73ncTIlG3VrhONMYQ0EnTmBlkF+8M1KAuJ6AcERQHZq5SHkjiK4pnZcUmpXkA34+l8epxnxzd5YKOpIxtM3m09hZ/wlxF/IUXNvSsvYcEzv1QgTuzTQC4M2wUSAdJnrSIgD4LucECeQl5enOtiJ7V9ya0y73xBCKu90J24BQggxhwg90kHOnEgkYeHyvD2RLnqGQasdO3YsEz6+d+9etb48JAdKfoiThbBzu4CVs4ETa42ePxHVByFXvoB6ra1wrIvAEFJT3YCZuqrGdKiHr/49pbKlIkIDcaT+eAQl/4KmeTkI1AkUkXGu1Q1NxtD3Xq0gJo6syMvh4nYcm6FbycgZZ4Gos/fMJTy1bC8Onc9EUYmxKyvI3xdXdaqP6b3i0LWRDdxNFgiQLnMdCXEAfKcT4mBKSkqwZMkS9Z9S6WAXHBzMa0CIBYhrQMLGpdOdiE9SzsJOd4QQc4wcORJvvfWWKmM3/Jz4+uuvVbaSdOGxFeJenjRpkj5MfPny5di4caNqjKBDwsalbG727Nkq5FwaioiDc+7cubyArsrFU9qSur3fG60+HdQKa+LuxWZNBzQ7FYaHWpRUqTRQXFX3DWmBlMwC1K4RqPZhFLKeH4OiFndhUP/6QEhEqUBhrpTPmZ3iREgZ8kzp84KEqdtBVKm0I50ZUSc7vwi/7D6HBVsTsDuhbPZUZEgA7h7cHFN7NlL/rpLoZS2XBUhCvAkKT4Q4oYOdZDvNmDED0dHRnH9CrEBcTtOmTcNnn32Gn3/+Wd3s2e1bSUKI25KTk4MffvgBGzZsQN++fdWXPPv378eOHTswevRoFTKuQwQhCQU3x/Hjx5VYpAv7FjFJ9imldPfcc49av3PnTjz55JMqf06Cy6VhyOOPP67+zuuQjndr165Ft27dVK7j5s2bVdnff/7zH7vPhTdgM0FAyLkArH8V2PoJUFygX10S2RgLa9yMIzHDERkWjNicgvK73VVRRDF1QV0n2VLhBsKKM7CgU5xeSJFtd3xl7H4y3bYa11jmRoQ5cYXpAtmlJLKM8ymkJvadTcd3W+Lx086zyC4oNh6uj48qbYwJD0LXxlG4tX/TSt83lYpehJAK8dFoNE5IfyPEO9m+fbtqnTxmzBj06NHD2cMhxG2RLnfiMpDQ4EGDBjl7OIQQF+OBBx7A2bNnLdr27bffLjc3LjU1FX/++WeZ9U2aNEH//v31y0lJSdi2bZsqjZPyufKELNlGvnySfEdrm4pIxpM4tdLT043K+LxCDHKEIFCQA2z+ANjwJpBv0EEwpBYw6HEUdbkZ89ee1gsfkg0k4lAZ4cPCuZm/8oh+X9JBr9nlfQlODVk3dDcJa+dpc5MktFuXmySuIlM3k7zujye0eU8SgC6B6E0HAIOfAUKiqu1+Ss8pxEu/H1BdACV3SToOSie6p8e0Ux3qhKz8Ivy86xwWbInH3rPpZfbRrl4ERrevi4z8AmTmFln8fqnoeumukaPe74S4Etb8XaLjiRAHcfLkSfz+++9KcKLoREj1kJBgEZ3EQSCZLbJMCCE6pMzOFsTExOCGG26odDsRmsaOHVvpdiI2eUMXW0e5Qyx2wVRESTGw6ztgzUtA5rnS9f4hQJ+7gX4PAMGRZnOZ9N3urEQECtmHjNmwq53WPRXgkJB1s0KJqbup3TiLO8Uh7yKQsBkoKdI+J9sd+AXIzwSiGpt3SlmBjNOoFPGy8Bca6KtK6ERs+nn3OeSYuJtCA/0w/or6qjNdxwaRyiVdrkhUTklhxdfL16Hvd4pbxF2h8ESIA5BAZHFnyDekYvEnhFSfgQMHqk53y5YtU53u6tWrx2klhBAnYxMxyEIqEwQqRIo+ji7XdqpLOVi6Xtw6IpKIqyeifuXd7irKP7JSRJH1jsCsUBIVqBWddO4medz/IxAWA6Qdq7BTnEKjK3u/XEwjgpPMsQh4si/ZtzmnlIXIXBsKfw1rBSPQzw/j39uIA+cNHGqX6dQwUolNV3euj/Ag/8o7KFZQUljR9XLU+90VSv0ofJHqQB8gIQ7qYCctk9nBjhDbId9ajh8/HrGxsep3LDMzk9NLCCFOxlQMkkedGGRrdIKAlD5J6ZUIArJcqYBzZjvwxVXAd9cZi06trgT+8y8w7p0yopOxaBGgFRVErJBStOWztI+ybIWIIuVaUi5WHfeUteiEklNJGYjyyVaPslyUm2HsbpLH7FSg3QSt2FSYa7ZTnB4pp4vrBfgGAHmXRafIhkCNutp96ZxSItRJ+Lg8WklcrRAMblUbeUUl+HZTgip/MxSdRGC6vlcj/Hpff/x8b38lPJmKTmaRsehEtwADoezyGCu6Xo54vxuKW1JqqBO3ZL2jEOFL5lvKHeVRlgmxBjqeCLFzBzsJN83KylId7OzdvpkQb+50t2jRItx0003sdEcIIU7EkW4eUxdMpQJO2nFg1VzgwI/G6xt0B0Y+DzTua/nBDcUKnUPIClePWfeUA5DjlaSdxHXZf6BW1iVc8InCprQrkY3GiBSnj5yHobupTnvtj5TSiatJBCZzyDn3vRcIjgDSE4CL8UBQOJCXXrqv7DRg47sVB5WbIT23ED/uPKvK6Q4llv2SqXNcFKb3jMNVneojzBKhyRQRxCopKSzvejni/V4tZ5+buRiJ50LhiRA7Ii2VpSOO5EOwgx0h9ut0J+KTdJtipztCCIFTy2+sFoOqiUUCTlYKsO4VYPvn2gyiy1wIjkPxkFmo3XOy2GhtLlZUhtmSLzsTFqDBwOy/EJR1AlkhdRCeewID/f9CWNAwrRCkKzczdDdZ0tlOkHVDntHOgbildi8s3VfnqcDuBRYLddL/avvpi6oz3W97ziO/yNjdUyPIHxO7NsDUHo3Qrn41wvZFQCwutqik0Nz1csT73dmlmc4WvohnQOGJEDshLZulXfKVV16putcQQuyHdKSaMGEClixZosLGJf+JEEKIfSkvd8bRbp5yBZyCbODf94B/3gIKsvSrM/xqYn29mfgjcBSaXIrEQyUa+PtZKTyJKGHOIWQu/8iF8C/KRsfIfBwuroes4lDUquGrlmW9Eo5ECDLMrLLW2SXrRHiTH8N9WSjUScnk0h1ad9PR5NJrpqNroyhVQje2Uz2EBlbzVtZQUPMLBMJiKy8pNENF73db5CI5Wsx1NeGLeAYUngixA6dOncJvv/2mOtf07NmTc0yIA2jfvr0KG1+zZo0Sn9q2bct5J4QQJ5XfOMrNY/bGXoklXwFrXwaykvTbagLCsDJqMrbUm47QGjURk1NgtXPD6HjlOYRcmcAaCI+ujy4lR1AYGoGAnFz4RrcuFcx0wpEtnF2G+6pAqBN305aTF5TY9Pu+RBSYuJsigv0xqWtDJTi1rmsjYc9UUJPxRLfQdjIMrmn1dTT3frdlILizSjNdQfginoGLfzIS4n5cvHgRixcvRuPGjdnBjhAHM2jQIH2nu6ioKHa6I4QQB5XflGg0OHcxV+XxRIcHOWTey9zYd4tDo5TVwMo5QNrR0g19/IBuN6N4wGPYtSkdZ0Qs8yuw2rlhVkgwdQi5Iqad97rcAN+d3yBIBKTarSsWzGzl7Lp8XEOh7kLrqVi6MV6V051I0bppDOnRpKYSm8Z0rKdCtW2KOUFNygN9/W1yHe2Ri+SM0kxXEL6IZ+Cin46EuCf5+fmqu5aEiE+ePBl+frSgEuLoTndScid5TwsXLsTtt9+O8PBwXgRCCLFj+U1mXiF2JaQjyN8Xn244qXJ37N3q3fTGHvGb4bfvdiBzj/GGba8Ghs0GYlqqG58p3SOr5NyoUEiwMNPJKZSXz2SpYGZGMKqys6tWU2gGPYl/j5zFwl1p+HP1MRSYdGaLCg3ANV0bYmqPOLSsY8eyRTuXSnpiLpIzhS/i/lB4IsTGHewyMjLYwY4QF+l0J+LTzTffDH9//rkjhBB7lN8s2HIaa4+kqHVt60fgZIpjOl7pbuzbBSbiytP/Q4sLa403aNQHGDEXiOtpE+eGKwgJVucFVZbPZKlgZo1QVQ6pWfn4YfsZLNyagJOpZd1NvZrWwvRejTCqfV3bu5vsLahZmIvUonYQwkoygeII13XHEWIn+I4nxEasWLECx44dw/XXX4+YmBjOKyFOJCIiQolPX3zxhep0N3HiROWGIoQQYjtExLltQDMkpuehRnAAaoYFqnBoRwgyYQUpmJ78Bjok/ww/lLpmNDGt4TP8OaD1leV2qquKc8MhAcumJXHVyQuSfWWcATITq9V5T49OqJL95l60SIAqKdHg3xNpqpRu+f5EFBZrjJ6vFRaIa6QzXc9GaF7bCe5kGwhqluYidY24hClF6+C/6mLFnQEtwBaB5YQ4GgpPhNiog92mTZtUplPz5s05p4S4AA0aNMC4ceOwdOlSFTY+YMAAZw+JEEI8jsiQANSvGaIEGdF57N7xKj8T+Odt+P/7LjoX5uhXZwXEIL//E4juP9MubhK7ByyXVxJXlbwg3b5EdEo7BgSGaYOzq1tOVsEYDUnOzMMScTdtSUD8hdJrpKNv82iV3TSyfR0E+Ts5lsIa55eV6N11ufkI3/QT/NJOWtYZsAJsGVhOiCOh8ERINTl9+rTqYNe1a1d2sCPExejYsaMKG1+9erUSn9q0aePsIRFCiEfhsI5XRQXA9i+Ada8AOan61ZrAGsjvdR+C+96N8BA7ZgIBqB8VjJn9muoFN5udYyUlcVaV+ZnuKzAcKMgCCrKtLyczdGAJFYxR3E0bjqWqznQrDiShqMTY3RQdFohru0t2UyM0jQmDK2IPJ5Fy1/nlAdkp1Xae2SOwnBBHQeGJEBt0sGvUqBHGjBnDUh5CXJAhQ4YgNTVVOZ9mzpyJunXrOntIhBDiUdi145VGA+xfBqyaC1w8WbreNwDoPhM+gx5HcFiM3QUFcZos3BqP85dyUS8qxLYB6uY6rBkIE1aV+ZnuK7q5VnQa9BgQ0dBy0cnU3dR2nNkxJqWl4ft9GSq76czF3DK7GdAyRrmbhretg0B/X6tK9RyJXZ1ENgoyd3rOWAWloIRUBt8xhFSzg11QUBA72BHiJp3u5HeWne4IIcRNOl6d2gCsmAWc3W68vv0kYNizQK1mDhEU8gqK8N6ao9h66gL8fHyw+0y66uQ3++r2thHZKhEmrHKVlbcva0Qncw6sAz8CIvClHYNENa0/C3yX2QurN21HsYiDBsSEB+G6y+4mo7m2sFTP0djdSWSjIHOH5IyVh4teO+I++Gg0Jp8UhBCLOtgtWrRIldndeuutqoSHEOLapKenq053tWrVwo033shOd4QQt0K65kZGRqrPMmmg4NEkHQBWPgcc/ct4fZMBwIg5QINuFgsK81ce0QsKyRn5aBYbZpWgIMLVFxtPqo5sctdUv2YwcguKERroj29u64Xo8CA46sbeYueWuX1FxlnuVhFH0vJZQECI1t0ky4W5ON/2ZixeuwOLz9TE2YIQo5dIjPvAVrUxrWcchrWtgwDT8YmYtXZeqZilE8SqkHNka9JzCvHS7wdUNz1xEklAfl5hMZ4e0w6RoQEu5RhySsaTC1874j5/l/hOIaQKrFq1CkePHsX06dMpOhHiJsgfRl2nu19//RXjx49neSwhhLgS6WeBtS8Bu74DNKWd6hDbXis4tRhebqc6e5Qm6Zwwp1Kz4esL5BWW4EJWAYICxGGiQUZuoe2ynizosGaxq8x0X+kJWuHAUreKgWuqSAOsO+uDBRm9sXpTIko09Y02DQnwQ/3IYPRtEV2xA6ySckJn4jAnkQ2CzO1a1loeLnztiPtA4YkQK9m1axc2btyIUaNGoUWLFpw/QtyIhg0bKsFJ1+muX79+zh4SIYSQ3EvAP28Cmz4AivJK5yOiATDkGaDzVMDXz+GCgtzcX8jIRosaRUiLCsLJC/nILSxGgL8f/Hx98P7a40rUspnrxAJhwmLXk25flQSXl/fas82nYNHx9fh+fxTOm3E31Y0MRpu6NdChfiQy8gqVQ6hCQc9GOUduHZDvymWtFeHC1464DxSeCLGC+Ph45ZTo0qULevXqxbkjxE073SUnJ2PlypWIiYlB69atnT0kQgjxToryga2fAOtf1ZZz6QiKBAY8DPS6U1vu5SRBISwnAeMufY3ijCT0CKqFz0P6IyWgHsKD/FEjJAChgX4O7SxWpTIrK9wqImqtPpSsOtOtPZICjaae0fP1IoNxXfc4XNO1ARZtS1DnLqKTRYKejXKO7IVTnETugotfO+IeMOOJEAu5dOmSyocRl8SMGTPg5+eAID9CiF2QeEPpSHnixAnV6a5OnTqcaUKIS+NRGU8lJcC+JcDq54FL8aXr/QKBnncAAx4BQmvZ7HBV6mp3Odcm+9xBHMoOQ0B2IrJqNIfvkKfww65EJTrZNQ/IVnlVFuTzJFzIweJtCepHRCRDfKHB0BY1MK1fGwxqVVt/rCpnDVmTc1TZtuyy5lg438QEZjwRYscOdtdddx1FJ0I8oNPdxIkT8dlnn+k73YWFhTl7WIQQ4vkcX6PtVJe4x2ClD9DpOm1ZXc3GrlGadNkpFBbdEF0aRKEwKwIBJfkoqReAv084vrNYlfOqynGrFMIXq/adx3dbEvD3UXE3Gb+sQUA2ptRPxuTwPahXPw5o1Q8wELiq7BCysJwwJ+k4wg4sgF92ivlcKk/vsuaKIo8NMqqI9+Ii72JCXNsZsWzZMuV4kg52oaF27hxBCHEIgYGBmDZtmnIySpdKdrojhBA7cn4PsHI2cHy18frmQ4Hhc4B6nVxr+g1ybURSCcrVija+IRGY0j1Y7/ZpUTsIUzpEwB8Shm6/8qxq5VUZhI3HZ/lh4ZZzWLxtNVKzjN1Nkls1rFVNTMNyDKydDb9Q6WgXVW5pnj2yhsRJtXjrCXQ59iEalpxB/YbNUMM0l6oquVXuhKeLasQr8YDfTFIZIpjs2LEDhw8fRm5uLifMSi5evKhshLGxsfjmm29c0rkhTo327dvjiiuuoGuDuBR5eXnYs2cP9u7dq36PRMh1NQoKCrB7927MmjUL0dHR7HRnJcHBwWjevDm6deumMrMIIcQIKaVb/SKwZ5HqBKenbidtpzoRntws16ZRtL9y++hdOdvKunLKK++rUtlfNfOqCopKsOJAispu2nAstczzDWuGYFrPRpjcrSFiw/yBtSuB1PPaFPFqBElbe666LoKJiakYUnIRZ4uikHrBB33q1YWvofjlyV3WPF1UI14L370ezr59+/DBBx+om72mTZuiRo0avKmyElcvvykpKUFaWhq+/vpr/PDDD3jwwQfRqFEjZw+LEBXg/cYbbyjxVrrJiajjitlo8jsuYyPWI39bsrOz8csvvyhnqORl9ezZk1NJCAFyLgB/vw5s+R9QXFA6I1GNgKHPAh2uBXxdPMDZwClkWvIkDqeIgwuBtKNlBIL4SwVm84+qnItUxfK2k6nZWLg1Hku2nUFatsE1kPH7+mBEuzpKcOrfIga+vqIyXcYGQdJVOVddOWFEVBQKi2qjTuZJXMzxQdGlAgTWbVMqfnlylzVPFtWIV0PhyYNJSkpSopN0bJo+fTpLxLzA2SZ5NW+++SZefPFFhIRUvQsMIdWluLgY8+fPh7+/P55++mkVyk8829m2dOlS9RkkrqdmzZo5e0iEEAdRxtVSmAts/gjY8AaQl166odw0D3wM6HEb4B/kPtenvFybcgSCotwMLNqWrA8B13W9u29IC/Vout7abniVlbflFxXjr/1JWLglHhuPp5V5vnGtEEzt2RjXdmuI2jWCrBbcLEHnXLL2XA3LCTdFXIlWWT+hoV8m/Oq0Nha/PLnLmieLasSr8YDfTlIeW7duVe4CyS2RLBPi2URFReGWW27B3LlzVdlQ7969nT0k4sVIae+FCxfw0EMPUXTyknK7qVOn4ujRo9i0aROFJ0K8BENXS+1wf9wSvgXRW14DMs6UbuQfDPS6C+j/EBASZfG+q1qS5myBIBshZkPAUzILqhYObiHHU7KU2LRk+xlczCk0ei7AFxhZ+yKmRx9Fn/r+8O3UFDAUncwFWVcjSLqqQeiG5YTnM/1R1OZudOxYC351Y8uKStUUx1wWTxbViFfDd7AHc+DAAbRp04aikxdRs2ZNVdJ08OBBCk/E6Z8/IobGxcXxSngJvr6+6NChg7r2hBDPR+9qScpCX+zEkCPvI7rghMEWPsAV1wNDngIiG1q17+qWpDlE2CpHIAgLCTIbAl67RmDVw8HLIa+wGH/uS1TZTZtPXijzfNOYMEzr3gCTcpcgJuOA1p2Vdt44M8gOQdbVCUK3qpzQU7useaqoRrwavos9GMndaNCggbOHQRyM3OzLtSfEmeTk5CAyMpKZcl74+SPXnhDi+YgwEJS8G48lf4hmWTuMn2w5Chj+HFCnndX7rWqZliOErTJilRmBQG6uzIWABwf6Vzkc3JSjSZlYsCUBS3eewSUTd1Ogny9Gd6irspt6N6sFn7xLwPJz5jODZMw7v0FJyhEUhsYiIOUIfG0QZF1ZEHplop89uuW5HZ4qqhGvhcKTh4e+yjfQxLuQay75OoQ4O/ReOi4S7/v8kWtPCPFwLpxEjVVzcf/xpUarz4e1Q+ykV+DXfGCVd13VMi17C1vlilVmBILyXDvWhoObupt+23NehYVvPXWxzPPNa4cpsWlS14aoFRZoWWZQQSay0s7h8KVgXEgrQi2/YLT2PYdwGwRZl3eujnCzEUJcDwpPXi5MSRZHYmIihg4dqtwJ5jh37hz279+vvslu3759mZDy/Px8/P777+rfcqMpwbJt27Z1eJeo3377TbVFN+1WNXLkSLNB3HJO8s18jx491LmZnvPmzZvNHqdu3bro06dPueOQDl5r167F8OHDVRdBe5CZmYmVK1di8ODBqryOEHdESkIPHTqEK664QnXdNCQ3Nxd//vmn2dcFBQVhzJgxRusKCwuxd+9e1UlPnJ5S8uVo4cuaMVR07qbzIHl9IubIZ5UlXTZ/+ukndOnSxa7dLeXzVj7nGSJOiJeRnQqsfxXY+il8S0qdNqmBDbCx8d24YtQt8IsJc1qZliWi0/lLeUjOsE7YqopYVZ5rpzI3j6kb6HCiuJvisXTHGWTkFRltG+jvi7Ed6ynBqUeTmub/5lSQGVTkH4a96UEIykxAeEgd+GQmYa9fC/TwD7P+JtFMTpTpuTrCzUYIcU0oPHkp0uL8888/V/8+ceIENm7ciM6dOxttIzdFjz/+OP79918ltJw/fx4pKSl4/fXXcc011xjdGC1ZskQvZp05c0ZlfDzxxBN47LHHHHZOt99+O5o0aWJ0Eycikanw9OWXX6qxyU2TdNySIG7pvnX99dfrt5Fz0J2TDilfW7FiBW666aYKhaeTJ0/ihhtuwI4dO1RHQXsgwpgc4++//6bwRNwOEUbkM0hE2uPHj+Ott97CbbfdZrSN4eeKISJyN2/e3Eh42rlzJ2bMmKHEGfmdk2XJOvv+++9Rr149h5yTpWOw5Nx1LFy4EI8++qgSd0TQl+3l81dE7YqQcbz33nvq0Z6ft7NmzcJdd91lt2MQQlyIghxg03vAhre04oKO0GgUD3wcAe1nYExoiE3Eg8rKtKqKzmmTnJGHEynZCAv2R1MLhS27uLDMCDW6MSZeysXF3EI1tv3nMsq8tGVs+GV3UwP9eKqSGZRd6IP1YaPQu6gEtTSXcCG8GTaFjUK7Qh9EBlhxLhbmRNnbzeYuuHxwPiF2gMKTlyLfiMgN0LFjxzBx4kSz24gbShxEe/bs0d84zZ49G7feeiu6du2qF3jELfTtt98avVaW77jjDvTs2RODBg2yamzicujYsWOV8qlmzpxZ7k2cIDeD9913H1577TU1PmHRokXqJkrOScQoQcZtek4iWInwNG3aNDibiIgITJgwgaITcUvS09PV72DLli3L/T2vVatWmd9BEbR//PHHMr+DIn7Ifn799VcEBASo/fft21cJ3998841VY9uyZYvq0NapUyerXmfpGCw5d2H58uVqnyI+jR49Wq1LS0vDrl274AqMHTuWbidCvAERR3Z9C6x5CchKLF0fEAr0uQfoez/8giNg3jNfdawqSTPXkc0EU6dNeJA/svKKkFNQbJGwZXMXlhmhpiiyMd5bexT/HruA8xm5KCzWGL0kyN8XV3Wqj+m94tC1UTnupoowUxIYFqBBSGQ0lhROQ/1wDRKy/dE0OqLi8zKdb1mWc5FSPsmRksdycqLs6WZzF8orNaQYRTwdSqxeirQ4r6xEQoQYuckz/LZeBBopJ1m/fn2Fr50yZQr8/PzUTZy1iDAkDix7IDeFgYGBRuKUjFVucj/99NMKXys3jzJn/fv3t/h4Z8+eVSVxUrZnmnsijodly5apsjlxMK1atUq5y3T5TBkZGVi9erUq28vKyjJ6bXh4OK699toyJYKEuAM33nijKhuzFvkdlM+V6dOn69eJOC5ls+KAEsFHkLLhYcOGYfv27VYfQxxIX3/9tVWvsWYMlp77s88+q37HdaKTIOXLsk9LuXDhgnJFyueIOMhMkS8f4uPj1WfRhg0b1GeVrjGBfM7L57AIYElJSWVeK8J3ixYtLB4LIcTN0GiAQ78DH/QFfrm/VHTy8QO63QzcvxMY+l8gOMJuQ9CWaQVULDqJgLN2HrB8lvZRls1g6rRpEhOGZrXDcP/QlkrgqixjSOfCahYbprKWLBGrREhIzylUj0YYCjUBIchOOoFFv/6BCe/9g0VbzyD+Yo6R6CTupjnj2mPL08Px+nWd0a1xLduUkl84Cf/1r2Bm9ueYXrAIvvnpaFonouLzMjffIkKJgKYLL5dHXXi5DebRkzAUQIMD/PSlhidSsjB/5RG89PsB9SjiFCGeBh1PpFzMfeMvQopQp06dCmfu1KlTSkCR0jdHcvr0aVWKI+Nr06ZNmTwUcRtIRpVp6LoIOZKjUh66ckRxfFn6x162lZtOcVGJS6Fx48ZKyNNlX+lK8uRGUv4t5UMyBtnunnvuwdy5c1XJjpxTXl6eugGU5wSW2hFvQz5PxJ0opbOGYrgIyXFxcaoMzRBxczpKGLH1GBISErBv3z5V6ixlv/Jv+UyTjD05liX88MMP6jOoXbt26vNLsviWLl1qVFItpXj9+vVT45btpLxaPmukFPC5555TjiwRomT9d999Z1Tix1I7QjyYhK3AimeB+H+N17e5Chg2G6jdCi6BDZw29aKCLRY9rHFhVRigfVmo2YeW+O5EE/x8PhJZxTLe0pI6P18f1I0IVl3pXp7UEQH+fnabu/Aa9dCr5Dy6RG2G/9Bh8A8INL993kVgx1dA2jHj+R74WPnh5WaoTsC6u2Ou1FBKP7/bHI+zF3OZe0U8GgpPxGLEsSM3I7Vr11Y3K6bIN/5HjhxRYeX/+9//lCth0qRJDp1hyVORcF+5kZIA8RdeeEFlMumQm64PPvhA5TrpbsDkpky+9TcNJjdESn5ErDLMgaoMmQcRnET8Sk1NxZAhQ9T8vfPOO0bbiWtJthMnh8yhlPnJduJUkIwqcR707t0bb775psqiIsQbkTJX+Z0Sx5Ap77//vnIxyu+aBHqvW7dOiTeLFy922PhsOQadgPXXX3/hkUceUZ9V8tkqopOU/EogeWVIxpx8hohYLZ8hUp4opXv//POPkfAuuX3iTJXPIRGZpMz5lltuUUJ3r1691DZSXi0iVmXZUoQQNyf1GLBqDnDwZ+P1DXsCI58HGvWGS2HqtBF0ThuTkjJb5UZVFgxeWYB2XlEJft51CQv2DcDezLIh7DVDA1RJXURIAHo2rYU7BjS3vehkZu7kjILz04CibMBUeNKVBV5KAJIPAHXaG893UW654eXVmUdPxJwA2qBmMNJzC70+94p4PhSeiMU8+eST6qZFbqTMdWsTwefnn39WHZ1E9BEHj4SNV4a8RldeJsg37uL8keBvHXLjVVlp4Icffohx48apf8txX3zxRdx9993qxku6vwly8/XFF19g8uTJePDBB9Ux3n33XdSvXx9FRcadQnTIvuTbfnEmWZM79cADD+gdVxIMfOeddypB6e233zZyTf3nP/9RopMgjgbZVsYnopMgpTsiPInrgBBvRcRfEb2vvPLKMs9JqWyrVq1UPtzhw4dVFpSUs0kWWmWIOCPCsA5xE8pnkJTB6pDucN26datwP9UZgykiFAlSfitluuJ2EseSlLdJjt22bdvKuDZNEZFc55CUzxBxT4n4LZ/Tpq4nXcmufF5JibU4Q3WikzBw4EDl1iSEeCgiFqx9Gdj+BaAp/f8YolsCw2drnU4O7hJqEeKocUGnjamrRf4fKZ3pnvhhD/7Yl6hypYBS0SnUrxhXt49GSUAYMnOLEBsRjHOXchERHID6UcHOnTtDV1l4HaAoDzi7HQiqAWQllb5GhCgz4eUElQqg13RtiB92nPHq3CviHfBTgVjE//3f/6lv9OXHMHPEkKlTp6ofQRxFI0aMUDdHcsNTEVL+obvREiSLRL6B15X16W6IKhOedKKTIMLOM888o8QouYHUCU8iNImLQDJcpAxO/jMgwpPkO0lZjDkkz0ocUSJkWYPpeEWIk3MT14ZhqZDcsBoirgbTddI+3lxGCyHegAjZv/32m2oIoMtQMswxkqBr+ez5448/1Dr5PLnuuuvUZ4KI2BWJNOJMOnjwoH5ZStskxNuwo544PCsSnqo7BlNq1tR+kyyv15U1y2eAlLeJUCSlzJV9HsrnjSG67aV011B4MvdZY+4zScQ4QoiHkZ+Fkn/ehs+/78KnUHvTqxCBYfCTQJcbXVtAkLG5mNNG3E5FJSWIDg/CkcRMHErMxIHzGcjMK/vlZsf6EZjWNQbjujZFMfxUvk+dyGAlVonOl5ZVtttbXkERUjILULtGIIID/e0/d6ausgbdgaR9QH5G2deYCS8nlgmg9ujiSIir4cJ/TYirIOLNnDlzVJmXuTIXc8iNjdyorVmzplLhSRxIhki3J8k4EtdPdRDxSZxZpsHcIj5JKYn8CCI+yQ3t1VdfXW6gseQyXXXVVVbfLJvenMrNp+lNHSGk8hJacfyY+/wR94+EYxsGjos4JZ8fItSIkCSOpfL473//W8YpJA7IV1991eLLUt0xmCLZbvI5JdlzhugclKafaeaQ8ZhbFkclIcTLKS4EdnyJ4jUvwy8nRb9aHDe+/R7QdqsLMv78cVlqNbW506aq3cUk12nh1tNKcDqZloNTaTkoLjF2/ks3vfFX1Me0no3Q4f/buxPwqOpzf+Df2TKTTJLJTggJEBYFBEQQN3DBBaxVQXEp1mq9Wlvb69JWn95qrdfeVr3WXuvfqr1Xq71ahepFxR2LFRVEQEVAZF/DFrKvM5mZzPk/7y9MmExmJjOTWZPv53nCZGbOOTlzZgnnm/f3/obZevzMvmZ7+2xnHX6/dAvq25wosGbgrjnjcNrorr6hcTt2/pVRElCOvQA47SdAZl5qB5MRSuSscv4B6GDue0WDB1/VFJKELnfeeScefPBBFc4EIkPr/IfUyYnR9u3bVcPdRJB98J81TqqmpFJJeib58h1WIxYuXKhmbZITRH/yOGTmJ5n5Ltymvr6VXL6k8kqG3khFARFF9jkk7x1pgO2vvLxcXfoPRZUqJglv+poIIRZivQ8SmEvFqMxo6Uuuy30STPVFhsb5fi7L54/MtCf9p4goMlLxJ5XSMuuuzAAZiMxQ+8QTT6i+bHIp16NZJiEW3wi8/fPu0EmqbZbnzsVTk1+B+8y70id08vJW2kQZgvjOPifhUZ+zi8nwM3tD1+VR9a0duOf1jXhh1T4s21KDnTVtPUKnEyvy8J/zJ2H13efhd5dN6hE6hTPbm1Q6Sei0v8EOs0mvLuW63B7XY+etjJLqJpe963LqdUB20YAKncJ63uMsrFkcidLYwPnEoIisWrVKDfnasGGDui6VSdJku7KysrtxrfQXkR5JMsxEAiTfnidyAug9+ZG+TzILklQMyV/1JcTxTnv+y1/+MiHPjPRBkXBMeqDISaD0WJEG59LT5Pvf/36PZWX4ivQskVnvZLidVFxJw2/pz+JPHrM03A230ivQid/JJ5+sjqVMaS4z7hENdt4eSO3t7d1Dc73ByLnnnttrWako8m/K7/tZJJVFEpDL7JAypEwaaz/99NOqL10igt5I9iHcx/7QQw+p61KBJcObpTeTbE+OQziPSRqbX3bZZepLAjE5yZUqrmh6ThENZjI8X3qryZB9GYIrvRhnzpzZq6L59NNPV8NkZdjt888/r/o5fvbZZ91DZ8NZJmGmXg98s0R9uylvFtaM+lfs0Urh6OjsNbQrWBVIIqtD4sl39jmpImrtcKO2xRl8djFvo+3WI9CsJfhyyOV4abMbb284qBqH+8rUuTB3UhGuO2cyJpT1/dkbsOpFwi1nC2paDarSKd9qgi2z6w+hcl2G3VUUGtOuqiyVhGoGn86vbaJUM7A+OShsEhatW7dOfS9hjfQgkS9poO0NnuTEyDv8zLffiZCTLG/wJCc28ld0GQ4jM0/JUDJprH3FFVfAYom8KaKcZHkrCMIl+ylBkuyDBDxSYfDcc88F7EclFUzPPPOM2lf5OdJcWNYNRGZ8kqbgMtNTuOQ/kHJMf/3rX6t+L3KsZXiLVCtMnjy513L+J4Kyz/4VDTJ00behu6wj6yb8P6tEMSCVQN7PFHkdywmZXJdm2P7Bk8zmJp8x8nkSjLzXpQeU9GOT97X0UJPrgWbf7ItUSEYzHDbcfQj3sY8ZM0YF6tJ/Tv4wIBMbyGU4M9p5m5BLxaeEdtJvSiaF8P88lOW8Dch9H7/vZA9C/qAgy/qSE+e++kwRDQTSL00CYvk9Lv9/CERCXRkOLP//yMrKws9+9jOMHz9e3f7AAw+EvUziHtS58Jx+G15qOREr7ZUo0cwBh3b5hjIyDEwqcCQcCXZ7ugcO26tbcaDRjukjC7qnupfH2B3GHW203Xh4D15tn4xFB4qwzbGn13bHmQ7jDMs+zLVuwsSSyTAMOS26IVg+IVdpZhHGW07AF81dk0E0tLlQnp+pej0FdTS0iklYNID7N/k3g+/1vBNRTOi0cKYdo7QkwYf8p2bu3LnJ3hVKIDkBlhPH2267jcedkkYqCQ8dOqRCaBo8JByT4O2Pf/xjsneFKOak79ojjzyCH/3oR72qHiXYlepvL/nsW7ZsGTZt2hT2Mn1pbm5W1ZEy82QsqhdDBUgSysiQI28oc6S5Qw0Du3XWGDz+4Y5et8ezOiRe1VUyvE6GVllMBhU41Ld14PO9DRhmy8Sw/MzuME4em0Gvw9qt+7DwraV4u24onFrP/ci1GHHBcfk4u/p5FBjaoMsqwOQCDTkGFzD7N5GHNhIaLX+wq7eSNPZuOYT9hgr8tPpC1LZ39t3jySe0Uj2aZLicVC5RL/6vdd/n3QjPgK30IoqFSH4v8R1ERERERBQl6Wl5yy239LhNKgLl9kiW8ScVUvLl+x/8WArV0DhYFYgM7UpkdUg8q6vkMfs29JbHNm1EPnItJjWjnIQPcyaU4q+f7sHCNftU3yZgWI9tTM9rxYLzT8dFJw6DRa+h88P30HlkK4w2PfSthwHbcV2hRaRBmv9sctJP0NWCF66dgBp3VuhZ7Y5WZnWHVnIp12W4HMOTXoLOKte0l+EdUQwxeCIiIiIiioLb7VZfvsPhhfzlV4a5yn3e5UItIxMR+JPelTKrcCJn1woWynirQCTw6Gv2tXTpvRMscBhqM+OjbbV4bd1+zP/zp3B19hwckmdy4/Ki/Vgwsh1jz7wCKDg2a6lh6vdg8FYaSSNuqTTyCXvCCdJUMNVpQba1GIa6o8FkyyG1PUt2HoZCr4Iro8HT6ziodZsakNNSDb1PaKX2R8KsATpcLuYhrFQ6LWd4RxRLDJ6IiIiIiKL5j7TRqBr+NzY29ri9oaFB9bn0BkrhLONPJmiRXlC+FU+Jmi04WCgjVTYBq0NiEASp2eXsLvW9LdMUl947/tVGvoGDw+XG618dxKK1Vdhd2xWs+Tq1sgDXnDocc8YVwaK1Bx5+FaIRdzhBmm8wNdo0A1db3bC5GrpDrH2NzqDBlXfd+uY2XNpoxGTLflgLj4VW/pVXiZQOzeh7hLD2pl4VZwzviPqHwRMRERERUZRkpjuZOMCXXJfbI1nGn4RViZiZM9KheKGG6EVLQpOnP9mJz/c0ADqoIW//MqMyptVVgaqNpEH36t31eGnNPry/6XCv6iazUY8ymwWnjy7Eb+ZO9Hms5ogbcfcVpPkHU+ua89BcfBXuOKcMxsxcuKHH3316EfkGV8J33XcM5wGOD3BqRyv0tuHAid9J2jC7tGxGLyGd9MaSYYpITHiXDuEcUX/wVU1EREREFKWrr74ar776Kqqrq9V1mVhBrsvtkSyTUNIHyN7QddlnFYip14lwsNujPeFetHYfVu6oQ7vTjbYON1btqMMrn1dh/tRy1bzc4ersV3WVb6gjzcQ3H2zGLxavxzmPLMd3n1mNtzcc6hE6leSYcdbYItx0ZiXOOq4YnR5NhQKhti/NyuUyGO/wRWnI3tjuVEGaXPcGaf7BlFzWtHaiTd9VORXofm9w1WbvQFtjLUpzuhql6wsr8UnWeXCabICjEVi/qKvheIL5H3dvWBbqOKUECelkmKSETS57wGGTsQ7npMG5NLuXS7lONNCw4omIiIiIKIA9e/aomeyE0+nE3//+d3z99deYNm0abrjhBnW7zCK7dOlSTJ8+HWeeeSY+/vhjTJkyBbfeemv3dsJZJmFSbMYzCU4ONdph0AE5RyuBJHw63ORAodUck+oqWb+m2QGXx6MCrp21rfCf11tmirvy5HJcObUcr311QIUkrQ63CojGFJth9bQAnbm9wodwK3qCNrE++piC9dXyBlNB72+vgu6rv+Hy2u3Y78rBtrK5qHHk48KOD5BhqANyk9dgPB7DJRMmxLDJdOplRpQq+GqmAU9mhHn++ecxe/ZsDBs2TE1p/OMf/1j9tTGa5fzJMtIg9M4774zzIyGidKNpGt5//31cccUVqKysVLNYyfdfffVVr2Vramrw+OOP45RTTlGfKc8++2zAbba2tuKee+7BpEmTMGTIEHUC/Oijj6KzM/hf44koOpmZmRg3bpz6+q//+i/Mnz9ffS//T/CSPk3/+Mc/1Hv27LPPxnPPPaeuy+2RLJMQvjOemTKPBRJ9VD7FkwQqQ/MyIQVHUgnU0O6ERwNKbZbusKk/1VVHmh3431V78N6maizbfAQ7anqGThX5mThjVAGuOrkc3z1lBMYMyVGBkLfSampuI37gfhnGD+4Dlj/Yo3Io0ooe7zDFuy+aoC7L8izdlVLeYCpYhVfA+6eWwbj+RdWEvHJoMUbrD2LSkTcxvsCNSbYO6CV0kmF/OUPhaalGU1NDQquN+qrySnneYZNxDOtCVbIRDSSseKIBb9GiRfjFL36B3/3ud7j88stx8OBB9RfG8847D2vXroXVao1oOV/vvPOO+gumnCR6PCleNkxECSc9XORE9Y477lChknxOyCxV559/Pj766KMe/V3uvfde9VkiJ7dz5swJ+pkin0uy7t/+9jdMnDhRfX/99dfDbrfj7rvvTuCjIxr4JNz913/91z6X0+v16n3d32XiTqo3UqxpsgQq35k+HC0OV48eTwtOGRF12CRD4z7eXoOFq/fhgy1H1HVfmRkGXDalDHq9DnUtTnWyv7e2q3JJAqHuPlb2DmSveg2Gmq2AraJX5VCgih4JWQ41OjA0zxJw/71NrINVSoWq8Op1v6MOaKwCsocgJ6sQY80GVDracfZZY2BcW9bdo6itrgobHEPwxgf7UJBbl7A+S31VeQ0mwXo49VXpRjRQMHiiAS8/P19VHEyePLn7+mOPPYbTTjtN3X7ZZZdFtJxXbW0tfvKTn6hlfv7znyfhkRFRqjMYDKqyQaqcvJ544gm8+eabKjiS6dK9/vznP6tL/5mvfElV0xtvvKEqLM844wx12yWXXKI+nxYvXszgiYhi0jQ50Y2OJQS575ITesxqF83PleF5L39ehb+vrcKBRnuP+3Q64MwxRZg7ZRgumlQKp1tTPXWkL1JxhgP6HGOPYWAqIGrZBuxYBnQ6AUcTkDeyR1DnHxrIbHgyTPD//XMbSnItQQOevoZX+Q9D838+1P1SefXl88CRbwC3Axh2MvSuNmTI82kt6BpCue5vqtJJQidpOJ6RkeChXJ1uDM/qwE/PHYU2ly4pjbNToWl3qOGYDOdosGDwRHG1bt06VVL+5JNP4sUXX1R9EbKzs/G9730vYSdIl156aa/bZB+8/RoiXc7r9ttvV30aZD0GT0SpqaCgQFUyymfPqlWr4Ha7VTXR73//e1VdFG/HH3+8+vJlMpnUTFUuV9cJViR0Op36ksoJX3JdbiciCqtpsrfHU4CmycmahUxOwAuzzREHB1LNtHzrESxcsw//3HJEDdPzJY3Cr55egatOrkBFwbHHYTJ4MNpUi/LdizFE34Rqjw37K+cfqzSR4YebXu8KdTwuoOUw0FYLjL+kO6jzDQ2k0klCp2yzEVkZxpABjzweGQJoyzIi12IK2fso4PORl9H1HNbtAIacABz4Aqj+Ghh7wbHn82iPopamBlXpJKFTQvss+fQSM2aXwCb7lVU56GbUC6eHUzxmiiRKNQyeKO79TeQv9A899JD6a75UE0lDzWuuuQbHHXdcjyqAQEpKSuBwOEIuI00/b7755oj2S3osSCXCqaeeGtVyCxcuxCeffILPP/88op9LRIklQZN8Rkj4LUPddu/ejSuvvBK//e1v8fDDD4dc96KLLsKKFStCLiMzUj399NMR7ZNUO0k/p9NPPx2RkoBJhv0888wzuOCCC9RQu+XLl+P1119XfZ6IiPrTNDnVGh0HCw5kP3ccacXbGw/h/77Yj0NNPf+vKDn8rONL8J3pFTh3XEngIW/w4GrDRzisP4ga5Kv+SDMMH8GIs7va4MrxkaBp2DSgcS/QXg8YMoAJ83ocM29oIMPrpNJJQic1s5zmVjPNNbVVwGjM6BEo1LV1YFdNG6qbHci3ZiA/KwOTym29hlcFfT5mlMDoO2TSnAN0NAOn/QTILjq2AYMRVluhGl7nrcqSY1VRkAmzUZeYXmI5yWluniqv5XAbrAeqdCMaSBg8UUJI36SZM2eq7y+++GI1RET6kvQVPEljbwmvQpFgKBLLli1Tw+Pk5G3kyJERL3fgwAE1zEVOZiUYI6LUJsG0hE3ipJNOwoIFC9Tw2XACor4+f/wrj/qyd+9e9Zkin4f+w3fDJdWiu3btUhWXXj/72c9w7bXXRrU9IhqEvE2TU3gWskDBwcI1e1GWl4lnVuxWoZT/J3SpDG+T6qbpFRiWl9m9HWng3auSxNkCW2cDckaPxQiTDRmuJujdDcf6XfkOSxwyEWiqAkomdFUY+ZHtSk+nomwztle3wubYj+mH3kCJvglbFxXjk+w50BdWquBMGoov/nI/rBYj8jszUN/mRIZBj/lTywNWRgV8PpAJm++Qydbqruq1zLyA++atytpT24a61g6YDDo8/uGO+FUApUAvsVR5LbOHE1EXBk+UEFLd5KuwsBANDQ19rhdpqNSXL774At/97nfx7W9/G//xH/8R1XJygicVUHLySkSpL1U+f44cOYK5c+eiqKhIDT2ONLQS0nBchvfKzHYrV67E6NGj1ZDmm266CfX19ap/FBHRQDhJ9g0O9Dqd6tm0fNsR2F09J16Qup1Z40rw3VOH4+zjinuENyGHWh0NlvS122DJ0QGth3v2u/Iflijhk9+wRF8HGx1o7XDjUEMrzju8GMPN1WjRFcHStAOndXrwsvtatS//MqNS7U9loRUnluep790eDYVWc/jPR6a5zyGTvuQx3zprDB55f5v6WRKQxbUCKMxeYoPhtcweTkRdGDxRQgQ6weqrkiDWQ+02bdqEefPmqeEt//u//xv0pLKv5Xbu3ImtW7f26A8jwwn/53/+Rw1/kWnSZcp0Ikrvz59YDrWThuESGMlnxbvvvqvCp2h8+umnapivzKg5ZcoUddtZZ52lqjB/+tOf4r777mMlJhHF5SQ50U2aM4w6NDtcala62tbevTZtZh0qS3JRkZ+J386bDFtWV6+ksIdahdHvKtSwxEA/q7bFiRkVZgzb04K2jGK0IBvI1KFAa0S51a2OqfANRBraXUEDkZChRZj75tXh1tTMgVIVFlYFkAyXC3PbvYRzbOMs6LGDB7A3Rfe4ouQN/mpanCjOyYAlg6fgNPjwVU8pLVZD7WRYisz8NGnSJNWfKSMjI+rlVq9e3Wufxo8fr4YQSsNio5FvK6KBIFZD7dra2tSwuqamJjXEb+jQoVHvk/fnBWouHo8qLSIafAI1Ok5kk2b5WYvW7sMrX+xHzdGgxssAD6ZlHcZswzqMzjfilexrMbwwcGgT1lCrcMKbIMMSe/wse4fq51Sak42srDxo1hJktu+GzqKD0V6N+uxRqGozonKIWc3YJ8dPhg3KLHyVRVlqmF3X8e4KTHyFbDwdxr5FVQHk0xhcVS5JaCTHKhIRBmMxdTQ0G56X0/PYNe0FlvfzcaVpk3OiZOMZMqW0WJxESU8mGTInQ1JeeeUVZGZm9mu5YPskM0oxdCIaOGLx+dPR0YGrrroK+/fvV6FTRUVFv7YnPaqkovLXv/61mrBBvpehdn/4wx/UDKIyjJCIqL98Gx0nokmz0+3Bss3VWLh6Lz7ZUdfr/jJbBhbkbsRVZfWwmDOwY58LnY5GjCsE5nkrgPxmwAs7aIkgvAmofjeyv3wBl9dux35XDraVzcU/zBfg28YPcEKuA5uax+Az6xxUFuYeq1Y6+v9G0exw49mVu+Fye4KGEoEaT0dagRb2kK9YNgbv77GNhl9oZjzpWtgkXEpSw/NUaXJOlGwMnmjAW7RoEfbt26dO/PwrDe69917cddddES1HRBSuNWvWqFnn5ATjxBNP7HHfhRdeiJdffrn7ulRM+vaUk6Fz0lNOZgP1DvmTQHzJkiW4//778a1vfQt1dXUoLS1VwwLvuecePjFElFZNmqXZ9cK1+/B/n+9HXVvP4XRGPXDBhFIsOGU4ZlbmQf/xZ0DtXsA8FCfl2eHMOw5Tz5sCoykjaFVJWEFLfxwNMwx121E5tBjm/btgPvIm1o35EYZN+w1yszsx3WjFBJeuOyDyBhG7a9pQnGPGih21qk/VGWMKww4loq2gCVk9lUKNwaMWKlxK0uNKlSbnRMnG4IniaurUqWp4iX8l0AsvvJCwIy8nbrfffnufFQ3hLhfIli1buv9yRUSpQ5qI+w9Lk/f5rbfempCfL7PXyWdgIP775e3T5M//s0WqnKT/HBFROjZp7nB34v1N1Vi4Zh8+3dm7umm4xY7v5G/DFWN1KJkz51g1ik/PIH3x8bDI9aOhU6iqkj6Dlv7wCTNyMvMx1mxApaMdZ88sgzG7qxeo7L3NFDiIyDQZYNBBzc6XlWFESa6uz1CirwoabyWU2ahTfZ38H3eg6qlUawwetVDhUpIeV6o0OSdKNgZPFP8XWYCeR9HM5hStcIfA9WeoHPuqEKWmQO9Nea8n6j0byecKh+sSUSqK1axcO2tasWjNPiz+8gDq/aqbTHodZucfxDVlR3D6UB30jkbAZe9ZjRKiZ1DoqhJT/CpL/MIMfethZEiYkXlsAppQQYRUPHVqXTPztTvdqvl0oFDCd1hdqMfaZHeo50kqyaR/VKnNgpFF1sh6CqVAY/CohQqXkvS4OKsdUZc0+AQhIiIiIqJkCWuIVgAOVyeWbjqMl1bvw+rd9b3uH1mYhaunV2DO+GKM2PiYGrIGx9Dg1ShBegYlraokijDDP4iYMaZQVTxJn6tAoZ7/sDppRB7osUqFkyy3o7oVB5vsONLcAWenB26PFnlPoWQ2Bo/n85GkxxXt+4doIEmTTxEiIiIiIkqWPodo+dhe3YKFa6rw6rr9aGx39bgvw6DHhRO7ejeV2Sx4+Ysq/PcnezDaNANXW92wuRoirkaJZ1VJn028fcMMYybgtnf1Ggqx7/5BhAj0MwINq1v85X4VPsml72OVYXVyPd9qwv4Gu7r0eDQUZGVE11MoGY3BY6GvcClJjyuS90+kjeOJ0gGDJyIiIiIi6hepbnpn4yHVu2ntnoZe948utqqw6fKp5SiwZqiT60eXbVMVOhKSfNFkQ3PJVbjjnDIYZahahNUokVaVhHNyH3YTb9lXeyOw7k/ds6mp4ExCkDCDiEChRJPdhYMNdjUkz3dYXaHV3OuxyuORfZTjKR0taptdKqySYY1jhmQPrp5C6Rqa9aNxPFGqY/A0gEkfpc7OzmTvBiWY2+2OulcVUaxIDyV+/gzOzx/2vCMaXLYeluqmfXj1y/1odrh7VTeNLMpCeV4mxg3NwewJpSp0EhKaSC8iGRYmFToSlhgNOrTpc2CLcghUuFUl4Zzc99XEO+zZ1KJ8LLKPC9fsxZbqFnS4PJgyPA/tHZ3dQwj9H6tv1ZccRzn2vj2eWDmT+iJ6zRGlGZ6dDmD5+fmorq5O9m5QAmmapp7ziRMn8rhTUuXl5eGLL75Q4RODiMFDPn/kdw8RDWx2Zyfe2nBQBU5f7mvsdf/YkmzVu+lQkx0HGxzqJHp3TXuPk2jpSSQNsKUXkVQ8SYVOxtHbYyFYRVO4s8K5PZ4QDcv14c+mFkXljXcf99S2Y3xpDtZXNWHzwWbMGlcSMkTyrfoKNqsdpa7QTfL5HFJ6Y/A0gE2ZMgWLFi1CfX09CgoKkr07lAC7du1CXV2deu6Jkkleg2+99RY2btzI1+Mg0draiq+//hoXXHBBsneFiOLkm4PNWLR2H15bdwAtftVNZqMeF08uwzWnVmDq8Hw029144J1vgp5ESygiFTnSAFt6Eclycl1ut3QtHrVQFU3ek3sZvpZpMqhL/1nh5LpUZmUY9SoY67NheajZ1PxJdVQfza39Awir2YhWhxs3zqxEYbY55GP3rYTq73GkxEpak3yiBGDwNIBNmzYNS5cuxZNPPol58+Zh3LhxHII1QDkcDmzatAmvvvoqRowYgeOPPz7Zu0SDXHl5OSZMmICFCxfCbrfjxBNPRFYWexQMRFLVtn37drz55pswmUw444wzkr1LRBRDbR1uVd300poqrK/qXd00rjRH9W6aN2UYbFmmsE+i5VKGgbmPNsCWXkRyvb8n2X1VNMn2JVBasaMWBh3QqUHNLOedFc67nlQbFeZkoLLYirrWPhqWhzu7Xf3uY8uE6APlf+xqWpzq59syjx3fhAgjJKPYiWeTfKJk02kyNocGLKl+eeqpp1BVVaWGu2RmZqreTzSwTvrkxN7j8ajA6Yc//CGsVmuyd4sITqcTf/nLX7B+/Xp1NCR44rC7gUU+dyT4lt5OJSUluOWWW1BWVpbs3SIakJqbm2Gz2dDU1ITc3Ny4/7yvDzSpoXRLvjqI1o6e1U1SKXTJiUPxnVOG46SKPOh0uogqj7zD2eraOrpnZwvVSDmSWb6a2l2q0spiMqhqocZ2p2p8fvdFE1QwJtv69RtfY+X2Wuh1UPt+xpgiFUw9/N6W7vXq2zpUldG/XTQOFqMxvCFroYIauW/5g8f6QHmrooL0gUp6k+kwQzKKPc5qRwPx9xKj6wGusLAQv/rVr3Dw4EFs3bpVBRTMGgcW+Q9Tdna2qi4pKipK9u4QdcvIyFBBRGNjo6rIk19OElTQwCJ/0BgzZgwqKiqCnnwSUXqQgOmNr7p6N2080NTr/sLsDIwsyMJJI/Jw3WmVfQYhgWaa8w9U5k8tV7O0BQt2Ig1g+qq0kmboq3fVqxnjDDqdekx1rU40211qeJ1UOrU4XFhX1QiTQY/nVuzBNaeO6FHNFdVsakf7QHmyS+E05iIjW4On+TAOHz6CouISWDKM/ZqlL6bi0CydYt8knyid8JNjkJC/QPOv0ESUrEbjM2bM4MEnIkpB8gfJjT7VTe3OnjMiZ2UYcPHkofBoGlrtbgyxWXCg3hH2bFu+J9GBhsFJxVOw7XiX33GkVQ3Hk8u+fm6o4UqyvTfXH1RBU4fbA4Neh6oGuwqh/vThdmRlGJGfbVLBVEObC7ZMI97/phptTjfuu+SE/oU/GTloMuTj8M4NqEE+sp012OIuw9Pbv0Fe9m7cNWccThtdGPTYJVSMm6UnE6uHiFIDgyciIiIiokFGqnokaJLAadPB5l73TxpmU72bLp1Shs5OTQ1fk9CpP7NtRTprl9y+p7YNBxvt2F/fDr1eB6Ne1+fPDVYtJNermx0qUGp3As5ODU53J6TviFQ31bY4UZprhl6nQ26msXuo3ud7GlQ41Vdj71DD7tzQ4++dZ6PcU4tiXSPWthbjFc8MGPNN2N9gx++XbsGLN53aq/IpKSJplp7CQVDShysSUbcU+GQjIiIiIqJEkUbeM//zn72qm6wZBsw9aRgWTB+OSeW2HmFBLGbbinTWLmn4fbjJoWaWy7eaUNvsRIZBr27vK8AIVC0kyw7Ny4Rnb4OaPc/V6YEGHfIyTSjOtsBsdKG+3QnfQcOqGa6u//2R2izl2OkqwqGRN8Pc2Y5F9Q3Q9EaMMRsho5TlOZEm4hWF8T09Cyv4CbdZegoHQX01mY8LNmMnCorBExERERHRICK9jCaX2/DZrnp1/cSKPFxzSgUunlwGq9kYt9m2It2OhEOlNgucnR5Ii0AJEOT6zpo2vPP1oYgDDPk5V0wrx8fbalQlk8VogFvzwOHyoNHeFfxUFmUh22LCZzvr1Ix+Rr0e00bkhz+jXJD+SNazftEduhVkZwP6Frg6NdVXq7HdhfL8TBTndFWBxUtEwY80EpeeTkertqRiq63dBatJg9HdFvFMd4kOgiKtrus3NmMnConBExERERHRIPP9MyoxtiQH3zmlAieUHatuCiZWza7D2Y63Kkcqm0YWWeHu1FTFU32bCyMKrXhrw0HVBDyaAEMamY8fmouJZbnIzTShprUDWw61qBnsvEGYyLUYVbXVkFwLLjmxLOwqItib4Wk8DGN2KfQ+/ZEkrPEN3c4ZW4AD1TWod3WFTtLjKZ7D7KIKfo42S/cGVp663TirbSkm2TqQXVgW0Ux3iQ6CIq2u6xc2YyfqE4MnIiIiIqJB5sKJpeorErFqdh1qO/5VOWeOKVa3qwqpYivOGluMxV9WRR1gSPDgDV7MJgPsTg9mjSvBjTMr1VBDqbKSZX4++3g1A56EXM+v2hO0Qsh3f01GPQyaG2cd0qHcsx1l5aOQ46rp7o80PNOogp5d275G7ScvQodqtGUVovK8H2K0X2PxWIs2+PEGVnuqm3FV27swt+7C1s6hOMmzDfoIZrpLaBAUwyq9wdaMnSheGDwREREREVHc9dVfKFBVjrh11hg1vO7tjYfULHg7j7TCYjJgdEm2CjAqCjJVdVR/AgnZr2dX7u4OvOZPLVfD+UJVVvnub1FOBj7dUad6QuVVXIKOQ0vQcagGJxw/Fgbf/kgeN+pWPAtT/XYc0vKQ07Id65Y8Dt31D2PUkDzES6DgZ1SxFW6PRz2OYIGMN7Aqt7pR0NqI1swhaO3MgisrF+YIwpWEBkExrtJLZjN2ooGCwRMRERERESW9v1DQqhxnpwqBdte0ITNDj5o2J9o73GqGuswMA0wGHR7/cEfYvZ78Awnx6LJtPQKvl1bvQ5PdGbJCyHd/JQiTJuFyT0fOcKw134w1Ha0Ycdo02LIzjz3Glibo246o0KlRy4bHqCHDUYtXV23BHZecErdwxD/4kX5SzQ4XHn5vS8h+T97Aak91B+p1eci270JBjh6mdjtQfHxE4UrCgqA4VOmFFKdm7EQDSfzf7URERERENGj5VgZJQOOtHpLbA4UcMoudNP+Wqhy5LroCqwxUNdjVJHN5mRlwdmpqZj5plh5sm6EDCZO69A+85LLJ7lI9oPz3xXdomO/+tjvd8GhApwa1T4daOmHNK4I1s2v/u9fJscGZWYQcVy1y0YKCznq0m4tQ4zSp/ejvcW5qdwU9BhL8SPXYj84ejawMA+panCGfD+9xklBq5JBcfGb7Fpx5Y3B8gRF6CZ2iCFd8j/uA4m3GPvs3XZdh9r4iGiwYwxIRERERUdL7CwUbjiUzyknAs/VQCxranGpZCYVaHC71vcxOZ8sy4kizI6pm1cH6D8lwOxnaF2xomP/+njGmUIViHe7OoEPJjKYMjDjvh1jz6mOq0umgeTjW5l2EUlv/+h15K8rkGMix+e6pIzCqODvgMgcb7NhS3YLxpTlh9XvyBlY1LcNRbJ0Fi2aPeFa7QeFoM3Yi6o2fFkREREREFDehGkv7zmAnjb3L8iwBh2NJiLNwzV4caLKryqKRRVlYX9Wk1l+1qxYN7S6U5lpQ19ahKmoiESzwCmdoWKBhe30NJRs+5gS4r39YDa+TSicJnfrT78hbUfb1/ibUtTlR3+bEun2NeOTKE7vDJ9+qs+IcMzpcHnX8rGYjalqcIRt976ppPTr00KXCQ3VsMnkaSUTh02maJj3wiIiIiIgoRTU3N8Nms6GpqQm5ubkYCD2ehJoxrbYNh5scKLVZMLLoWOjjT8ITmWlOmozXtXaooGZ9VYMKnWS4Xb41A5OG2Xo0AI9l8/OY6nTDbW9GGzLVcLz+/DwZXvfbtzdhw/4mHGnpQKdHg5ziXTRpKH532SS1bVnmgXe+UUPrpMqpqqEdmw82Y1xpDsryM4Mecwmd7nplPQ43O2JyjIlocP5eYlRNREREREQx5R/iBGvoveNIKw422lWfJGenzLCm9Zo9rvvExaDHCcNsOL40R21HZmR76N0tMOp1KsxqtrtCDhlLiUbUon63akRtbD0Cm8yGJr2S+tETSI5njtmojqOUFOj1MuBPp4IoqVIqzDb3qjpr7+jErHEluHFmpRrKGGyWwRdX71VN3HMsRtid0oPKqZ6raI8xEQ1O/LQgIiIiIqKYVjdJqCQVNnIp14M19C7IyoDHoyHfaoLHA3XpDY+C8W5HAhMZ+tXY7lKhU6AG4Cmn0901+1ntNsCU2XUp1+X2KMnxmHdSOTKMXad2FqNeBUWq4ZTPMlLVNKrECoerqwfVd6YPV6FUsMoleQ7kuEqVk7tTtqFTw/jkuKf0MSailMPgiYiIiIiI+k0qZGQI3KK1fc9gJz2dciwmtbxU6DS0uaDXA/VtrrDDo0BhSn96JcVCXzPLwdkCtB4BcoZ2NaKWS7kut/fDhLJcXDhxqDp20lxcjv20EfkqJPLyVp3dfdEEdRloaJ0veQ5Kci0qHMzM0KPF4VZ9tK45NbnHeLDq87VFlMI41I6IiIiIiPqlx4xph1swviw36Ixp3mUPNdlVM+yibDMyDPoePZ7CDTbCaQCeqGGF0tjcOwuet49Vr3BHZoOT4XVS6SRaDgFFx3Xd3g/yuH941mjkWozd/bIWnDIi4HDFcIfIeYM9IPRseZScHml9BYdEqYTNxYmIiIiIUlwqNxeX4EWG1El1U1FOBj7dUQeZvWjmmCLV7Foqkbw9m3yXlWFyEpKUF2Tip+eNRaem6w6PEtroOwZhk/Q9kkbcZqMBY0qyUdPSoSqxAjbhPtrjSVU6RdDjKZxjEo/jlurPxUDn/56R11rQ1xZRArG5OBERERFRAqxatQpvv/12j9sMBgPuv//+Hrc5HA4sXrwYu3btwqhRozB//nxYLJYB8Rx5+zXJSbFUOZ1YYcPmwy1ocbh6DX/zX1a0OtwqdJK+TelQ3SH7t3DNXtXMu6rBjmyLETaLCduqW1QfJGdnJ4YXWoM3OpeQ6Zxfdg2vk0onQ9+DUMI9Jr4VTbEKjBLWdD3RoZf01YrgOUiWQO+Z/jTRJ0qG1H2HERERERGluNWrV+Ppp5/Grbfe2n2bXpoV+WhpacFZZ50Ft9uN2bNn48EHH8QjjzyCjz/+GDk5/RtilQoBQK8Z05wenHNcMW46c1SvGdP8l5WG4BJOeXs6yc+RgMVb3eHtEZUq1R2yf//zyU6s2lEHj6ahtrUDpXmZaHO4oYMOTremqrikV9WFE0uD96qSoEN6PIURrkRzTKIN71KpuimuAWSUVWfJ0Nd7higdMHgiIiIiIuqH4uJi/OpXvwp6v4RMNTU12LRpkxoud++992L8+PH4wx/+gH//939P+WPfVwDg7QXkXcZb5SQzpvkLtmyoiqhUqu6QoXVrdterqqb8rAzVo+pQgx3uHLOqfNI0aZyuR4ZJj29PGtpneBNOuBLpMYk2vEulSrO4BpC+MwtKc3fvzIJShZaClU99vWeI0kHqvbOIiIiIiNKI9F16+OGHYTKZcPLJJ+PMM8/scf+rr76Kyy+/XIVOIi8vT12X21M9eAo3AOirybdvJU2oZVO5ukOCmb9+uhvVTQ7Vw8pqNiHbbECHy6Meg16nw6Rym5r97bgh2Ti+NCesY7vjSKuaOU4uAx3bSI9JNOFd975UtyLfalKXyaw0i2sA6T+zoPDOLOi9nmJSoYk+UX/wFUtERERE1A/Z2dk4fPgwNm/ejIsuughXXHEFPJ5jU55v3boVY8aM6bHO2LFj1e3BdHR0qMatvl/J4B8AyKU3AAjcC6irT5PvtO8S2Ehz5N++/Q0eeneLasLtXTbQrGtSzSHNkx2uzpSp7vAGMwca7WrGOLdHQ3WzXTUTv3BSKR65cjJmnzBEVTuNG5oTcEY5f3IM99S2qV5RG/Y3qku57n9sIz0m3qBKmlA3tjtVUCXXQ4V33fvSZMfG/c3qsntfpELI3tB1mSDRPIaweWcWlBkF5XHJpVzv58yC8RbsPUOUDljxREREREQUpUsuuUT1d5KG4uKOO+7AtGnT8Mwzz+Dmm2+Gy+VSX/4z0Un1k9PpVH2fjMbe/yWXPlD+DcqTIdJqG//hWvOnlqtZ3zYeaEJDmxP1bU6s29eA3195IkYVZyetuiPSXkbeAK4014KhtkyY9tSr5umzxpXg+2dUqn0+ocwW0TbNRp3qByXhilQZ1TY7YdLr4HC5Ye3suY1Ijkk0Q7N674sLGQY9LC17gVULE94LKa7Dy2Q4nTwOb4+nouO6rqfgMDuigUKnaTISmYiIiIiIYuH8889HSUkJXnrpJXXdbDaroXi333579zKPPvoofvnLX6rZ7oJVPMmXl1Q8VVRUqGF9/iFWvIXb+yfQtO/D8jPR0O5UM77ZnZ1q1jeZxW7OxFL88lvjk1K9EU0vI//HJiFNRUEW7px9HCwZ0QUWUhV292sbsK++HVIg5/Z4VCXV5GE2lOVn9rvHUiThWs990aDX6zAy34zfF70DS9POrmFpUhkkIU0CeyFxVjui1CW/l+SPKOH8XmKsS0REREQUQzLMzm63d18fN24ctm3b1mMZuS63ByNhlXylgnCrbQL15Wmyu5CVYVCVTjkWI9ydQL41A812V589h+JR8RRt02r/CpwxQ7LV9WhDJyGPbWSRFe5ODbYsI9buaVAz4+VYTDFppt01NEsf2b54NNVvSp6vsfkeZDhqk9oLKZLHEDGfmQWJKL44QJSIiIiIKEqrVq3qcX39+vVYuXIlzjvvvO7b5s+frxqJNzQ0qOv19fXquvSCShfh9JcJ1JdHwp3rTh+phqhJpVNmhl7NBleSawk5XE+qix545xt1KdeT0bMqWAB390UT1GV/Z3zzhlkSYrncGixGA6YMz1PBXCT71Z8QztuLq3tfSrLh0TS1T/NOGQd9zpC064VERKmHQ+2IiIiIiKJ03XXXYceOHWo2u8bGRixevBiXXnopnn/+eTXLnWhra8OsWbPUcAQZhrds2TI1POHDDz+E1WqN+ZCGZAo2jE0air+4eq+qdJLQKZLhetJUO1azq/lv39uzKpbbj7RSSwVAdhf+smI3dtfEZ7/CfZ567X/97mO9kBLY44mIUl8kv5cYPBERERER9cO6devw6aefqqFx0lj8pJNO6rWMNBhfsmQJdu3ahVGjRmHu3LndwdRACp5ChS/hhDJSgSOVThaTQVUkSeWUzOQmVUbeGfPC/Xn96fEUTYAk23157S60NjUi25aHq6aPiqgqKpreU9GIONyT2exkeJ1UOrEBNxEdxeCJiIiIiGgASafgKZEVSdGGNaGCpWibjz/71oco370YQ/RNqPbYsL9yPv7l4lkRVSzFtZl2P8I9IqL+/F5ijyciIiIiIkoJ3l5DUoEjYYiETnI9UAjj2yhcQhRvQ265PdqeVYG2uXDNXtS1doTcbpu9A6OrXsMI7QB0Zqu6lOtye6x7afVXoF5ccj1Yzy0iov7irHZERERERJQyIplFT8KTvCwTcjO7KnW8DbmjnQnNv/l4i8OF5dtqcLjJgbL8zKDVT1bYUaxrQrWWD51mhablq+tyO5CJRAtVOeU/Q1+ocI+IKBYYPBERERERUUrpqvwJHYTUtXWopuWHmx0osGao2fImldv6VbnjrQaSSieZ3e2rqiZ1e47F1F1RFWjYnzEzFyNGVMK8awNqnDoUGxtROmKyuj3RwhkqGG64R0QUC/yEISIiIiKilKFmeWt3hRzaJvct/nI/ss1GFTo1tDnR1uHG/Knl/QpRfIf6tTrcMBv1mDI8D/nWDFUF5a2o6sVghO2MGzBmwlScMixLXcr1RDfjjmT4YSKG9RERqc8bHgYiIiIiIkoF4Tb29g6JG1lkxWRLHmpaHej0aCi0mvu9D95qoCa7C39ZsRu7a9q6eyHJsLSgFVUFlTDMuhuGJM4A5z9UMBbDD4mI+oufPkRERERElHSRVOv4NshudrjQ2O5GSa4lZg2ypQqoMNuM70wPr9F5NwmbMvOTEjoJNg4nolTEiiciIiIiIkq6SKp1EtUgO916IbFxOBGlIgZPRERERESUdL6NvUVfQ9sSFQqF0+g8laRbWEZEAx8/hYiIiIiIKOl8G3uHO7SNDbJ5XIgo9bHiiYiIiIiIUgKrdWJD+mKx4omIUgWDJyIiIiIiShnpNrQtXWcGJCJKFH6iExERERERDbKZAYmIEoUVT0RERERERINsZkAiokThpw8REREREdEAmhnwSHMHGtudamZAuR5sZkAiokRg8ERERERERDRIZwYkIoo3DrUjIiIiIiIaIDPZleVZ8NPzj+OsdkSUMhg8ERERERERpTHOZEdEqYw1l0RERERERGmKM9kRUapjxRMREREREVGa4kx2RJTqWPFERERERESUpjiTHRGlOgZPREREREREaYoz2RFRquNQOyIiIiIiojQ2vDCLM9kRUcpi8ERERERERDQAKp9sWRzQQkSph59MREREREREREQUFwyeiIiIiIiIiIgoLhg8ERERERERERFRXDB4IiIiIiIiIiKiuGDwREREREREREREccHgiYiIiIiIiIiI4oLBExERERERERERxQWDJyIiIiIiIiIiigsGT0REREREREREFBfG+GyWiIiIiIhiRdM0ddnc3MyDSkRESef9feT9/RQKgyciIiIiohTX0tKiLisqKpK9K0RERD1+P9lsNoSi08KJp4iIiIiIKGk8Hg8OHjyInJwc6HS67r82SxBVVVWF3NxcPjsB8BiFh8eJxylW+FoaPMdJ0zQVOpWVlUGvD93FiRVPREREREQpTv5TX15eHvA+OWlJ1xOXROEx4nHi64nvuVSUm+af331VOnmxuTgREREREREREcUFgyciIiIiIiIiIooLBk9ERERERGnIbDbjvvvuU5fEY8TXEt9zqYCfSzxOgbC5OBERERERERERxQUrnoiIiIiIiIiIKC4YPBERERERERERUVwweCIiIiIiIiIiorgwxmezREREREQUCw0NDdi5cyeGDh2KYcOGhbVOe3s71q1bh4qKCgwfPjxm201le/bsQW1tLcaNG4fs7Ox+r7N161bU1NT0uM1ms2HSpElIdW63G5s2bYLRaMSECROg0+lisk40201l0bwHQq1TV1eHzZs391rn1FNPhclkwmB6b1VVVWHv3r046aSTYLVaY7bdVBXte+Orr75CZ2cnpk2b1uu+lStXQtO0HreNGjUKZWVlMdvvhNGIiIiIiCglPfTQQ5rFYtHGjx+vLq+55hrN6XQGXf7w4cPa7bffrg0dOlQtf88998Rku6mspaVFmzNnjma1WrXjjz9eXT733HP9Xufqq6/WhgwZos2YMaP765ZbbtFS3erVq7Xy8nKtoqJC7f9xxx2nbd68ud/rRLPdVBbNe6CvdV555RXNYDD0eM3IV11dnTZY3lsrVqzQLr74Yq2oqEgSE23dunUx2W4qi+a98ac//UmbMGGClpeXp40ePTrgMvJaOuGEE3q8ll5++WUtHTF4IiIiIiJKQcuWLdP0er26FLt371Ync7/73e+CrrNq1Srt0Ucf1err69UJXaDgKZrtprIf/ehH2tixY7tP7uUEVk7Yvvnmm36tI8HTjTfeqKUTh8OhToBvvvlmdb2zs1O79NJLtcmTJ/drnWi2m8qieQ+Es44ETzabTRsoonlvPfXUU9qSJUu0r776KmjwFM12U1W0742f/exn2saNG7X77rsvZPD07rvvagMBgyciIiIiohQk1RQzZ87scdsdd9wR9CTFX7Dgqb/bTSVSbZKdna398Y9/7HH78OHDtV/84hf9WkeCpwULFmhr165VIYPH49FS3RtvvKFO9quqqrpv++yzz9Rt8jiiXSea7aayaN4D4awjwVNubq62adMmFSrY7XYtXUXz3vIljz9Q8NTf7aaa/r437usjeHr22WfVdmpra7V0xubiREREREQpSHo0+ff9OOWUU1R/mZaWlpTbbjJs374dra2tvR7PySefrB5nf9dZvHgxbrzxRnXfmDFjsHz5cqQy2f8hQ4agvLy8+zbZd+k3E+x4hLNONNtNZdG8B8Jdp7m5GXPnzlVfBQUFeOCBB5COonlvJXO7yRLv98add96pPoOkn9ill16KI0eOIB2xuTgRERERUQJIo2ppWB2KhBulpaXq+/r6ehQWFva433td7svJyYlqP+K13ViR5szSpDmU0047TTXxlf0VgR7Pvn37Aq4b7jrz58/HU089hfz8fLhcLtx222247LLL8M0336jG0qko0HNrMBiQl5fX/bijWSea7aayaN4D4awzYsQIfPnll6qhtnjrrbcwb9481eT/e9/7HtJJNO+tZG43WeL53njqqadU6KTX67F//37MmTMHN9xwA95++22kGwZPREREREQJIH/9/s1vfhNymbvuuktVSgiZBcvhcPS43263q8uMjIyo9yNe242VF154AR9//HHIZeTES2aY884UFujxBHss4a5z5ZVX9ljn0UcfxTPPPIP33ntPnfylokDPrZDbQh2PvtaJZrupLJr3QDjrTJ8+vcf9F198sfpatGhR2gVP0by3krndZInne+MHP/hB9/dSUXXvvfdiwYIFqqouNzcX6YTBExERERFRAsyePVt9hUuqJw4cONDjNrluNptRUlIS9X7Ea7uxEsnQJHks3v33Vpl4rw8fPjxm6wiLxaJO9vyPXSqRx1ZdXa2mZ5eqCyFVF3JSH+p49LVONNtNZdG8B6J938gwrNWrVyPdRPs+SdZ2kyWR740hQ4aoy4MHD6Zd8MQeT0REREREKeiCCy7A0qVL4XQ6u29bsmQJzj333O4TnNraWqxYsUINBYvldtOFDEucOHEi3njjje7bZJjeypUr1eP02rJlCzZu3Bj2Om63u8fxETKESk4oZd1Udf7556OtrQ0ffPBBj+dWqjLOPvvs7tvkNSMnr+GuE+52B/J7K5x15Bj5knU/+uijlH7NxPK9Fcvtpoto3nPh8H8tiffffx9WqxUjR45E2kl2d3MiIiIiIupNphqXabovueQSNXPS7bffrpnNZm3NmjXdyyxcuFDNnnTo0CF1vaOjQ/vkk0/Ul8wSdd1116nvN2zYENF208mbb76pZn+6//77tddee02bMWOGNmnSJHUsvObPn69uD3cdmUFq4sSJ2mOPPaYtXbp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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "roles = {name: \"split\" for name in X.columns} | {\"bmi\": \"fit\"}\n", "simple = GuideRegressor(node_model=\"linear\", feature_roles=roles, max_depth=2).fit(X, y)\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(15, 4.5), gridspec_kw={\"width_ratios\": [3, 2]})\n", "plot_tree(simple, ax=axes[0])\n", "axes[0].set_title(\"Leaves regress progression on bmi\")\n", "leaf = simple.apply(X)\n", "for i, node in enumerate(np.unique(leaf)):\n", " rows = leaf == node\n", " axes[1].scatter(X.bmi[rows], y[rows], s=8, alpha=0.5, color=f\"C{i}\")\n", " order = np.argsort(X.bmi[rows].to_numpy())\n", " axes[1].plot(X.bmi[rows].to_numpy()[order], simple.predict(X[rows])[order], color=f\"C{i}\",\n", " lw=2, label=f\"node {node}\")\n", "axes[1].set(xlabel=\"bmi\", ylabel=\"progression\")\n", "axes[1].legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5586ad20", "metadata": {}, "source": [ "## Predictive performance and tree size\n", "\n", "Ten-fold cross-validated R², mean leaves and mean fit time. The tuned CART chooses `ccp_alpha` by an inner 5-fold grid search." ] }, { "cell_type": "code", "execution_count": 5, "id": "c5102bb0", "metadata": { "execution": { "iopub.execute_input": "2026-11-02T22:20:55.955746Z", "iopub.status.busy": "2026-11-02T22:20:55.955684Z", "iopub.status.idle": "2026-11-02T22:20:58.349565Z", "shell.execute_reply": "2026-11-02T22:20:58.349224Z" } }, "outputs": [ { "data": { "text/html": [ "
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scoresdleavesfit seconds
model
GUIDE, constant leaves0.3500.1775.20.018
GUIDE, linear leaves0.4770.1141.10.095
CART, defaults-0.2090.228388.60.001
CART, tuned0.3350.1365.10.121
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" ], "text/plain": [ " score sd leaves fit seconds\n", "model \n", "GUIDE, constant leaves 0.350 0.177 5.2 0.018\n", "GUIDE, linear leaves 0.477 0.114 1.1 0.095\n", "CART, defaults -0.209 0.228 388.6 0.001\n", "CART, tuned 0.335 0.136 5.1 0.121" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def leaves(model):\n", " model = getattr(model, \"best_estimator_\", model)\n", " return model.get_n_leaves() if hasattr(model, \"get_n_leaves\") else np.nan\n", "\n", "\n", "def compare(models, X, y, cv, scoring=None):\n", " # A dict of scorers gives one column per metric; scikit-learn's negated\n", " # losses (\"neg_...\") are reported as losses.\n", " metrics = scoring if isinstance(scoring, dict) else {\"score\": scoring}\n", " rows = []\n", " for name, model in models.items():\n", " result = cross_validate(model, X, y, cv=cv, scoring=metrics, return_estimator=True)\n", " row = {\"model\": name}\n", " for metric, scorer in metrics.items():\n", " loss = getattr(scorer, \"negated\", False) or str(scorer).startswith(\"neg_\")\n", " sign = -1 if loss else 1\n", " row[metric] = sign * result[f\"test_{metric}\"].mean()\n", " if len(metrics) == 1:\n", " row[\"sd\"] = result[f\"test_{metric}\"].std()\n", " row[\"leaves\"] = np.mean([leaves(e) for e in result[\"estimator\"]])\n", " row[\"fit seconds\"] = result[\"fit_time\"].mean()\n", " rows.append(row)\n", " return pd.DataFrame(rows).set_index(\"model\").round(3)\n", "\n", "\n", "models = {\n", " \"GUIDE, constant leaves\": GuideRegressor(),\n", " \"GUIDE, linear leaves\": GuideRegressor(node_model=\"linear\"),\n", " \"CART, defaults\": DecisionTreeRegressor(random_state=0),\n", " \"CART, tuned\": GridSearchCV(DecisionTreeRegressor(random_state=0),\n", " {\"ccp_alpha\": np.r_[0, np.logspace(0, 3, 13)]}, cv=5),\n", "}\n", "compare(models, X, y, KFold(10, shuffle=True, random_state=0))" ] }, { "cell_type": "markdown", "id": "9863a489", "metadata": {}, "source": [ "The single linear model (GUIDE with linear leaves, pruned to one node) has the highest R². Among piecewise-constant trees, GUIDE and tuned CART are close, while the unpruned CART tree overfits badly (negative R²).\n", "\n", "## Quantile trees\n", "\n", "`loss=\"quantile\"` fits a tree to a conditional quantile. Trees for the 10% and 90% quantiles give an 80% prediction interval; its coverage on held-out data should be near 80%. (scikit-learn's `DecisionTreeRegressor` has no quantile criterion.)" ] }, { "cell_type": "code", "execution_count": 6, "id": "acb672b1", "metadata": { "execution": { "iopub.execute_input": "2026-11-02T22:20:58.350738Z", "iopub.status.busy": "2026-11-02T22:20:58.350675Z", "iopub.status.idle": "2026-11-02T22:20:58.435382Z", "shell.execute_reply": "2026-11-02T22:20:58.434992Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "coverage: 0.78, mean width: 163\n" ] } ], "source": [ "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=0)\n", "lower = GuideRegressor(loss=\"quantile\", quantile=0.1).fit(X_train, y_train)\n", "upper = GuideRegressor(loss=\"quantile\", quantile=0.9).fit(X_train, y_train)\n", "lo, hi = lower.predict(X_test), upper.predict(X_test)\n", "print(f\"coverage: {np.mean((y_test >= lo) & (y_test <= hi)):.2f}, \"\n", " f\"mean width: {np.mean(hi - lo):.0f}\")" ] }, { "cell_type": "markdown", "id": "ff532b19", "metadata": {}, "source": [ "Bagged, random-forest and boosted ensembles of GUIDE trees are compared with scikit-learn's in the ensembles notebook." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 5 }