From 491fbb7ef1f99772d25eb6eacb4340ef1ac75253 Mon Sep 17 00:00:00 2001 From: YumaN Date: Mon, 25 Jan 2021 23:54:04 +0900 Subject: [PATCH] add qsvm tutorial --- machine_learning/qsvm_from_scratch.ipynb | 4199 +++++++++++++ .../qsvm_middle_size_data_classify.ipynb | 5251 +++++++++++++++++ 2 files changed, 9450 insertions(+) create mode 100644 machine_learning/qsvm_from_scratch.ipynb create mode 100644 machine_learning/qsvm_middle_size_data_classify.ipynb diff --git a/machine_learning/qsvm_from_scratch.ipynb b/machine_learning/qsvm_from_scratch.ipynb new file mode 100644 index 0000000..ada70ae --- /dev/null +++ b/machine_learning/qsvm_from_scratch.ipynb @@ -0,0 +1,4199 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "import subprocess\n", + "import time\n", + "import pickle\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib as mpl\n", + "from matplotlib import pyplot as plt\n", + "from sklearn import preprocessing\n", + "from tqdm.notebook import tqdm #　for jupyter\n", + "# from tqdm import tqdm # for else\n", + "\n", + "from qiskit import QuantumRegister,ClassicalRegister,QuantumCircuit, execute\n", + "from qiskit.visualization import plot_histogram\n", + "\n", + "\n", + "from qiskit import BasicAer\n", + "from qiskit.circuit.library import ZZFeatureMap\n", + "from qiskit.ml.datasets import ad_hoc_data, breast_cancer\n", + "from qiskit.aqua import aqua_globals, QuantumInstance\n", + "from qiskit.aqua.utils import split_dataset_to_data_and_labels, map_label_to_class_name\n", + "from qiskit.aqua.algorithms import SklearnSVM\n", + "from qiskit.aqua.algorithms import QSVM\n", + "\n", + "from scipy.linalg import norm\n", + "import cvxopt\n", + "import cvxopt.solvers\n", + "from pylab import linspace, scatter, meshgrid, contour, array\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "\n", + "\n", + "seed = 10598\n", + "backend = BasicAer.get_backend('qasm_simulator')\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "alpha = Parameter(\"α\")\n", + "beta = Parameter(\"β\")\n", + "gamma = Parameter(\"γ\")\n", + "delta = Parameter(\"δ\")" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Implementation from Library\n", + "data = [alpha, beta]\n", + "ZZFeatureMap(feature_dimension=2, reps=1).assign_parameters(data).draw(output=\"mpl\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "# Implementation from Scratch\n", + "def feature_map_zz_dim2(data,rep=2):\n", + " q = QuantumRegister(2)\n", + " c = ClassicalRegister(2)\n", + " qc = QuantumCircuit(q,c)\n", + " for i in range(rep):\n", + " qc.h(q)\n", + " # exp(i*a*Z_1)\n", + " qc.rz(-2*data[0],q[0])\n", + " # exp(i*b*Z_2)\n", + " qc.rz(-2*data[1],q[1])\n", + " # exp(i*(π-a)(π-b) Z_1*Z_2)\n", + " qc.cx(0,1)\n", + " qc.rz(-2*(np.pi-data[0])*(np.pi-data[1]),q[1])\n", + " qc.cx(0,1)\n", + " return qc" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# U(φ) \n", + "# Note that exp(aZ) = rZ(-a*2)\n", + "# https://qiskit.org/documentation/locale/ja_JP/tutorials/circuits/3_summary_of_quantum_operations.html\n", + "\n", + "data = [alpha, beta]\n", + "feature_map_zz_dim2([alpha,beta],rep=1).draw(output=\"mpl\")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ms5mlS5cSGhqKu7s7ERERxMfH06lTJ6ZPnw5A06ZNS2wXFBREQEAAKSn2nVwoK69mJqE7ddk6mCqV4+Ppx6j+z/L+lv/GfNsLuGrrywQHduf+7iPtWJ3zOP8z5Bcav99TPxm/z8rSOWIshw2XKVOmMH/+fGbMmMHmzZsZM2YM48aN48yZM/Tq1avM7Y4dO8bVq1fp1q1bLVZbUnJaxetURX4hXCnnPhkp28j+/0laeipb938EwIFT29mf9A3THlxs58qcR02d1ynXHONDk84R4zjkmEtsbCwffvghcXFxREZGAjBw4EAOHDjA+vXrywyXgoICZsyYQUBAQFHrBuDFF19k7dq1nDx5ks8++4zRo0fbXIuLS9VGz8MGTGbI9L8XW1bRFWFlPT77V+OHfe4bTPLx7VWqq6qW/n4nEe2javWY1fGXmXElljVy92H9K9b/HdPSf+LtL2axcOpm6tdrUMvVGSM+Po67xw2s1WNGTVxGxNBZxZYZcV7nF4Knjx95WdVv7tt6rtbEOVKd92RU9E5ad4mq0rbVER8fxx+H2l6zxca5fBwyXBYtWsSwYcOKguWmDh06UL9+fbp3715iG4vFwpNPPsnevXvZuHEj/v7+RY+Fhoby17/+lXnz5tV47bfU3CVdVQ08uWX1tvlk5d5gyZrJRcvaNO3E7NEr7FeUM6jBc8/RzmtnOEf2bniV/ZuWFltWkJtJ226D7VTRLS4WW2OolqSkpNCmTRvee+89pkyZUuyxcePGcfLkSQ4ePFhiu6eeeorly5cTGxvL2LFjS913VFQUs2bNqlTLpaqOpcDKeNvWvfnJ7tctlLI8Pxxa1/L8TPs+dc7vyKjLmrSG3o/W7jG3HIEtR21btzLntZsrLB5r/bO67HmuVuc9Wba1ct/nsm5BFG27DabPiLk2LS9L+2bw9JDKVGobhxtzuTkQHxgYWGx5Tk4O8fHxpXaJPffcc8TExLBy5coyg6W21dR//m6uENi4ZvYtUpGaOq9bNjEmWMRxONzbGRAQAEBSUlKx5YsXLyY1NZWePXsWWx4dHc0bb7zBsmXLeOKJJ2qtzoo09gB/L+P32y4A6rkZv18RW7QLqJmbeO09x5gYz+HGXEJCQggPD2fhwoX4+fnRqlUr1q1bx6ZNmwCKtVyWLFnCwoULGTt2LL169SIx8dbt8D4+PoSFhdV6/Te5uEC/DvC1wdMU3av59MSOvNytsxofumDsfvvpvK5zHC5cXF1dWbt2LTNmzGDmzJn4+/szadIknnrqKaKjowkPDy9ad+PGjQCsWbOGNWvWFNtPZGQkcXFxtVl6CX3bw/bjkFNgzP58G0FEW2P2VRN+vnGJeX9/iPOXv+erBZm4uZU8vWK+fIaklH10aNWTp377VzJzrhdNFNi+5V14eTRhbdxSeoQOokOrHtWuyWQ28ee/P0x2XjqN3BuzYMrXnL50mP1J3zAm6v+We/wCUz7Lv3wGV1c3OrbuzcyH3yx1/eo4ceFfJY5RmttrtreoLnD4QtUmYi1NWMva6eot77X++cYlXv/kMfILc5k09BV6hA4iOzedz3e9yYTB88jLz+bClRO8tX4mnu4+3N99FCPum1XO0Wre6LlxlVpe2xwuXAA6duzIzp07iy17/PHH6dKlCx4et74EwtbwKCgowGQyYTabKSgoIDc3l4YNG9b41Sle7jCyN8TuMWZ/4/o6dpeYj6cfi6dv56UPS7/Z7FTKAXLzs3jzD7v46+cz+SH5O65lXGb3sX9gwUJWbjp9uzzE8XO7eSTqeUNqysvP5lrmZeZOWEML/xAA2reMYNU3L2E2mzl29p9lHj8t/SeWzNhBg/ruLIqdwNnUo1y+dr7Y+vd2fbha9TVvElTiGMEtSl4NeXvNrq727c1uFwD9O8G3P1R/Xw3rwSN9qr8fW5T3Wq/Z+RqThy0gpEU4c99/iO4hA/g6cQXHzyXw8bb5DOszldOXDtEjdDATBs3Fo2EN9HnXMQ435lKWffv2lXvzZHmmTZuGh4cHu3btYvz48Xh4eHD+/HmDKyzd3cHWn/LM/rjiK2qGdIWOgeWvY28N6rvj7elb5uPfn99Dz1DrJZI9Qwdz4ry1G9Ny22fgM6mHCWjSGoDDp+MY+WdfnouJYsKrQbz4wYhK19SwgSf+Pi1ZtfVlot9/kPyCXABaBYQWtUDKOr6fTyAN6rsD4OZaD1dXtxLrR7/3IMfPJQDwZcK77DgYW6n6SjtGWc/79prt7aG7oK1/+etUdF67AOP6WVvktaGs9xPgTOoRwoL64dHQC8+G3uQX5JT48NmpTR9OpeznxQ9HsGH327VTtBNzinDJzMwkKSmpxGC+rT744AMsFkuxn9qa1NLFBR7tC3eHVH0fg8LggQjjarKXzNzreDb0AaCRe2Mycq7RLfh+hvSayJBeEwkPGcDFn0/R3LcdAN2DB9CpTR/+MjOO8JBInh75TqWPufvYP7in84O8MO4jenYYTNxha/dpoH8IyVdPlnv8m85cOsKNrJ8Jah5WYv1nRv8/Nib+DYCE4xvoF1a1lsztxyjred+s2RE0qAe/H2htxVSFqwtMuBfuskM37+2v9U1mi6koTBq5NyYz9zoP3jOdru3uZcLgeXi5N2H1tld4adI/WDx9G9sPfkx+YV7tF+9EHLJb7Ne8vLwwmUwVr+ig3FxhfF8IbQ7r91kn/7OFjweM7QNdW9dsfZWVlv4Tr35c/GJ+P+9Aoh/7tNztvNybkJ2XDkBWXjpeHk3w8mhS7G7q22+7Sk07Qws/aypfvZFMQONb00HbWsOlX04THGjt+ggK7EpSyr6bBwJcyj0+QHp2Gm9/MYu5j31mfQ6/Wt/Lownp2T+TmnYWb0+/Yt0lttb462OU+bz/XbOj8GwIswbD1uOw9Zh1AkpbtPS1/j7U9r1aUPK1vsnV5VYrxnpu+tLI3YeJQ18CwNPdm/Ssn/F09wYg0C+Y9Kyfi52TUpxThEtd4OICfUKgS0tI/BESTpU9HX8zH7gv1Lq+hwPOTOLnE1jq1BkVCQvqx8bEFURGjOHgqW0M7T25xDqtm3bk2Ll/AnD+p+MEBXbFZDbh4lK8kW1rDW2bdubE+T3c0+UBjp/bTfsW1ibgT2lnibqr5N1utx/fZCrktU8eY9pDS/DzKbtPsktQP9754mke6DOt0jWWdoyynndZNdtTPTfrdPm928E/T1mnzy/ry7+Cm8L9Ha2tFXvc01Le+xnSIpzvz+0huGU42bnpNHL3KbG9T6MAUq6eorlvEKm/nMbXq3ltle6UFC61zNsdhnSDwV3hWpZ1IsDMXGv4+HhAGz9obIfvtTBCoamA/145nDOph/mvlf/BlOELad4kiM3fvceEQdGEtu5J/fruPPNuf0JaRNC5bcmR3JAWEVy9bv2Kw3OXjxMW1I+CwjyuZ17hl/RU/H1aVKqme8Ie4tuj63j23QE0a9KWx4e8CEDy1R9o3/Kuco8ff2QtScnfsXLjCwBMHb6IsHb9Smxzb9jDrItfyp8nfl6p2so6RlnPu6yaHUFTHxjZC37bwzqx6sVrkJNvDRF/L2jta23p2FNpr/WOQ7HMGrGMMVFzWPzpRPIKcpg49OVSt5/0H6+w9LMnMJkLGTXg2VKvhpRbHG76F3FMtTmlhpGXIpfm9KXDfPfDFh4d+IJhx5/9zv38z1P/NKrEEkqr2R7TvziDO2X6F6PU1PQvil5xOEZdhlyW9i0jaN+y7Cskavr4VVFRzSKOximuFhNxdDXZahFxRmq5iE28NfeTw9F7Ujp7vi7VOXarsm8Rq1E1dVyNuYiIiOHULSYiIoZTuIiIiOEULiIiYjiFi4iIGE7hIiIihlO4iIiI4RQuIiJiOIWLiIgYTuEiIiKGU7iIiIjhFC4iImI4hYuIiBhO4SIiIoZTuIiIiOEULiIiYjiFSzUkJyczaNAgunTpQrdu3fjTn/5k75JERByCwqUa6tWrx+uvv86JEyc4cOAACQkJbNiwwd5liYjYnb7muBpatGhBixYtAGjQoAHh4eFcuHDBzlWJiNifWi4G+eWXX/jiiy8YMmSIvUsREbE7hYsB8vLyGD16NLNnz6Zz5872LkdExO5cLBaLxd5FODOTycTYsWNp27Ytb7zxhr3LERFxCAqXapo6dSpms5n3338fFxcXe5cjIuIQ6nS32Oeff86YMWMIDg7Gw8ODDh06MGvWLK5evWrI/nfv3s3777/Pvn376NGjB3fddRdvvfUWAMpsEbmT1emWS9++fWnZsiUjR46kbdu2/PDDD7z00ks0bNiQQ4cO0bhx4xo79sYdieTk5TFq2AC1aETkjlOnL0X+6quvaNq0adG/IyMj6dy5M5GRkcTGxjJz5swaOW56ZjZ7Dh4nokt7BYuI3JGcvlvs6NGjjBo1ioCAANzd3QkNDSU6OhqgWLDc1Lt3bwBSUlJqrKb4xEOYTWZ+069njR1DRMSROXXLZf/+/QwYMICgoCCWLl1K27ZtOXv2LAkJCWVus3PnTgC6detm0zH+6/W/Vbm+JX/7tMrbiog4otdemG7Tek495hIVFcXJkydJSkrCx8enwvVv3LhB7969cXNz48iRIzRo0KDCbaoTLiIidY2t4eK0LZfs7Gx27drF008/bVOw5OXlMWrUKC5fvsyuXbtsChaw/YUE61jL4hWfENGlPY88EGXzdiIidY3Thsu1a9cwm820atWqwnULCwsZM2YMCQkJbNmyhYiICJuPU5WWy/6jSew/mlTp7UREHF2db7n4+vri6urKxYsXy13PZDIxYcIEtmzZwpdffsmAAQNqqUIRkTuXU4+5DBw4kBMnTpQ55mI2m5k0aRKffvopa9euZcSIETVWy1fbEthz4DjPTRuLv2/F3XQiInWZ07ZcAJYuXcqAAQPo27cvc+bMISgoiAsXLrBr1y5WrlzJ008/zerVq5k9ezaBgYEkJiYWbdu0aVPat29vSB3pmdn86/AJenQLVbCIiODkLReAI0eOMG/ePL799ltyc3Np06YNjz76KK+88grt2rXj/PnzpW43adIkPvjgA0NqOJucypqvdzLt0YcULiIi1IFwcRRmsxlXV6e/J1VExBAKFxERMZw+aouIiOEULiIiYjiFi4iIGE7hIiIihlO4iIiI4RQuIiJiOIWLiIgYTuEiIiKGU7iIiIjhFC4iImI4hYuIiBhO4SIiIoZTuIiIiOEULiIiYjiFi4iIGE7hIiIihlO4iIiI4RQuIiJiOIWLiIgYTuEiIiKGU7iIiIjhFC4iImI4hYuIiBhO4SIiIoZTuIiIiOEULiIiYjiFi4iIGO5/AaI/MM2xATDYAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# U†(φ)\n", + "data = [alpha, beta]\n", + "feature_map_zz_dim2(data,rep=1).inverse().draw(output=\"mpl\")" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# U†(φ)U(φ)\n", + "data = [alpha, beta]\n", + "feature_map_zz_dim2([alpha,beta],rep=1).draw(output=\"mpl\")\n", + "qc_u1 = feature_map_zz([alpha,beta],dim=2,rep=1)\n", + "qc_u2 = feature_map_zz([gamma, delta],dim=2,rep=1).inverse()\n", + "qc = qc_u1.compose(qc_u2)\n", + "\n", + "qc.draw(output=\"mpl\")" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "kernel is 0.1875\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# |<0|U†(φ)U(φ)>|^2\n", + "qc_u1 = feature_map_zz([alpha,beta],dim=2,rep=1)\n", + "qc_u2 = feature_map_zz([gamma, delta],dim=2,rep=1).inverse()\n", + "qc = qc_u1.compose(qc_u2).assign_parameters({alpha:1,beta:2,gamma:3,delta:4})\n", + "qc.measure([0,1],[1,0])\n", + "counts = execute(qc, backend , seed_simulator=seed).result().get_counts()\n", + "kernel= counts[\"00\"]/sum(counts.values()) if \"00\" in counts else 0\n", + "print(f\"kernel is {kernel}\")\n", + "plot_histogram(counts)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "# for dim >= 3\n", + "def feature_map_zz(data, dim=2, rep=2):\n", + " q = QuantumRegister(dim)\n", + " c = ClassicalRegister(dim)\n", + " qc = QuantumCircuit(q,c)\n", + " for _ in range(rep):\n", + " # Π_i exp(i*a_i*Z_i) H_i\n", + " for i in range(dim):\n", + " qc.h(q[i]) \n", + " qc.rz(-2*data[i],q[i])\n", + " # Π_(i" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data = [alpha, beta, gamma]\n", + "feature_map_zz(data, dim=3,rep=1).draw(output=\"mpl\")" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "def quantum_kernel(data_1, data_2, rep=2):\n", + " if len(data_1) != len(data_2):\n", + " print(\"Input size is insconsist\")\n", + " raise Exception\n", + " dim = len(data_1)\n", + " qc = feature_map_zz(data_1,dim=dim,rep=rep).compose(feature_map_zz(data_2,dim=dim,rep=rep).inverse())\n", + " qc.measure([0,1],[1,0])\n", + " qc.draw(output=\"mpl\")\n", + " counts = execute(qc, backend , seed_simulator=seed).result().get_counts()\n", + " kernel= counts[\"00\"]/sum(counts.values()) if \"00\" in counts else 0\n", + " return kernel" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "kernel is 0.0419921875\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Quantum Kernel \n", + "qc = feature_map_zz([3,4],dim=2,rep=2).compose(feature_map_zz([1,2],dim=2,rep=2).inverse())\n", + "qc.measure([0,1],[1,0])\n", + "qc.draw(output=\"mpl\")\n", + "counts = execute(qc, backend , seed_simulator=seed).result().get_counts()\n", + "kernel= counts[\"00\"]/sum(counts.values()) if \"00\" in counts else 0\n", + "print(f\"kernel is {kernel}\")\n", + "plot_histogram(counts)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Generate Sample data\n" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 5.29 s, sys: 14.4 ms, total: 5.3 s\n", + "Wall time: 5.31 s\n" + ] + } + ], + "source": [ + "%%time\n", + "\n", + "training_dataset_size=20\n", + "testing_dataset_size=10\n", + "feature_dim=2\n", + "aqua_globals.random_seed = seed\n", + "sample_Total, training_input_unnormalized, test_input_unnormalized, class_labels = ad_hoc_data(\n", + " training_size=training_dataset_size, \n", + " test_size=testing_dataset_size, \n", + " n=feature_dim, gap=0.3, plot_data=True\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "records = []\n", + "for label, data in training_input_unnormalized.items():\n", + " for x, y in data:\n", + " records.append({\"x\":x, \"y\":y, \"label\":label})\n", + "df_train = pd.DataFrame(records)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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141.4451331.507964A
152.3247792.261947A
164.4610621.068142A
170.7539826.220353A
183.4557520.816814A
195.0893801.130973A
202.0734512.953097B
214.7123895.969026B
224.6495570.314159B
233.1415932.324779B
244.9637162.701770B
250.2513274.649557B
263.8327434.649557B
270.0628320.753982B
284.9008850.691150B
294.2725661.507964B
302.7017704.084070B
310.8168141.382301B
323.1415931.005310B
335.0265485.780530B
345.1522122.890265B
352.2619472.953097B
364.2097345.906194B
373.5814161.570796B
381.0681422.513274B
392.1991152.890265B
\n", + "
" + ], + "text/plain": [ + " x y label\n", + "0 3.769911 0.628319 A\n", + "1 4.398230 5.780530 A\n", + "2 2.890265 0.314159 A\n", + "3 4.398230 3.895575 A\n", + "4 2.953097 0.565487 A\n", + "5 3.581416 6.094690 A\n", + "6 2.953097 0.314159 A\n", + "7 0.251327 6.220353 A\n", + "8 0.376991 2.827433 A\n", + "9 1.570796 1.884956 A\n", + "10 3.958407 5.340708 A\n", + "11 2.010619 5.089380 A\n", + "12 0.942478 0.502655 A\n", + "13 1.633628 1.884956 A\n", + "14 1.445133 1.507964 A\n", + "15 2.324779 2.261947 A\n", + "16 4.461062 1.068142 A\n", + "17 0.753982 6.220353 A\n", + "18 3.455752 0.816814 A\n", + "19 5.089380 1.130973 A\n", + "20 2.073451 2.953097 B\n", + "21 4.712389 5.969026 B\n", + "22 4.649557 0.314159 B\n", + "23 3.141593 2.324779 B\n", + "24 4.963716 2.701770 B\n", + "25 0.251327 4.649557 B\n", + "26 3.832743 4.649557 B\n", + "27 0.062832 0.753982 B\n", + "28 4.900885 0.691150 B\n", + "29 4.272566 1.507964 B\n", + "30 2.701770 4.084070 B\n", + "31 0.816814 1.382301 B\n", + "32 3.141593 1.005310 B\n", + "33 5.026548 5.780530 B\n", + "34 5.152212 2.890265 B\n", + "35 2.261947 2.953097 B\n", + "36 4.209734 5.906194 B\n", + "37 3.581416 1.570796 B\n", + "38 1.068142 2.513274 B\n", + "39 2.199115 2.890265 B" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_train" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "bae7271e2ceb4b5a9e53b625f51f4198", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatProgress(value=0.0, max=40.0), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "q_kernel = []\n", + "for ind, row in tqdm(df_train.iterrows(),total=len(df_train)):\n", + " q_kernel.append([quantum_kernel(row[:2].values, row_in[:2].values) for ind_in, row_in in df_train.iterrows()])\n", + "q_kernel = np.array(q_kernel)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 9))\n", + "sns.heatmap(np.array(q_kernel), annot=False, fmt='g', cmap='Blues')" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "# Visualize Kernel calculated from Library" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "code_folding": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 7.98 s, sys: 245 ms, total: 8.23 s\n", + "Wall time: 6.38 s\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "%%time\n", + "\n", + "os.environ['QISKIT_IN_PARALLEL'] = 'TRUE' # brokeProcessErrorはこれで治るっぽい\n", + "shots=1024\n", + "# Wall time: 9.47 s for train_size = 20 test_size = 10\n", + "backend = BasicAer.get_backend('qasm_simulator')\n", + "feature_map = ZZFeatureMap(feature_dim, reps=2)\n", + "svm = QSVM(feature_map, training_input_unnormalized, test_input_unnormalized, None) # the data for prediction can be fed later.\n", + "svm.random_seed = seed\n", + "quantum_instance = QuantumInstance(backend, shots=shots, seed_simulator=seed, seed_transpiler=seed)\n", + "result = svm.run(quantum_instance)\n", + "kernel_matrix = result['kernel_matrix_training']\n", + "\n", + "plt.figure(figsize=(12, 9))\n", + "sns.heatmap(np.array(kernel_matrix), annot=False, fmt='g', cmap='Blues')" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "diff of kernel value between scratch and library, 0.008418718985919948\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "print(f\"Difference of kernel value between scratch and library, {abs(kernel_matrix - q_kernel).max()}\")\n", + "plt.figure(figsize=(12, 9))\n", + "sns.heatmap(abs(kernel_matrix - q_kernel), annot=False, fmt='g', cmap='Blues')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Optimization after Getting Kernel Matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "# polynominal kernel\n", + "power=2\n", + "def polynomial_kernel(x, y):\n", + " return (1 + np.dot(x, y)) ** power\n", + "\n", + "poly_kernel = [] \n", + "for i in range(len(df_train)):\n", + " poly_kernel.append(\n", + " [polynomial_kernel(df_train.iloc[i,:2], df_train.iloc[ii,:2]) for ii in range(len(df_train))]\n", + " )\n", + "poly_kernel = np.array(poly_kernel) " + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "code_folding": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 984 ms, sys: 4.07 ms, total: 988 ms\n", + "Wall time: 989 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "\n", + "# Gaussian Kernel\n", + "sigma = 0.3\n", + "# def gaussian_kernel(x, y, sigma):\n", + "def gaussian_kernel(x, y):\n", + " return np.exp(-norm(x-y)**2 / (2 * (sigma ** 2)))\n", + "\n", + "\n", + "g_kernel = [] \n", + "for i in range(len(df_train)):\n", + " g_kernel.append(\n", + "# [gaussian_kernel(df_train.iloc[i,:2], df_train.iloc[ii,:2], sigma=0.5) for ii in range(len(df_train))]\n", + " [gaussian_kernel(df_train.iloc[i,:2], df_train.iloc[ii,:2]) for ii in range(len(df_train))]\n", + " )\n", + "g_kernel = np.array(g_kernel) " + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "# prediction function\n", + "def f(x, a, t, X, b, kernel_func):\n", + "# print(x)\n", + " sum_value = 0.0\n", + " for n in range(len(X)):\n", + " sum_value += a[n] * t[n] * kernel_func(x, X[n])\n", + " return sum_value + b\n", + " \n", + "def get_laglange_param(t, kernel,print_mode=True):\n", + " # Calculate Lagrange parameter \"a\" by Quadratic Programming\n", + " N = len(t)\n", + " K = np.zeros((N, N))\n", + "\n", + " for i in range(N):\n", + " for j in range(N):\n", + " K[i, j] = t[i] * t[j] * kernel[i, j]\n", + " \n", + " P = cvxopt.matrix(K)\n", + " q = cvxopt.matrix(-np.ones(N))\n", + " temp1 = np.diag([-1.0]*N)\n", + " temp2 = np.identity(N)\n", + " G = cvxopt.matrix(np.vstack((temp1, temp2)))\n", + " temp1 = np.zeros(N)\n", + " temp2 = np.ones(N) * C\n", + " h = cvxopt.matrix(np.hstack((temp1, temp2)))\n", + " A = cvxopt.matrix(t, (1,N))\n", + " b = cvxopt.matrix(0.0)\n", + " sol = cvxopt.solvers.qp(P=P, q=q, G=G, h=h, A=A, b=b)\n", + " a = array(sol['x']).reshape(N)\n", + " if print_mode:\n", + " print(\"Lagrange Param\")\n", + " print(a)\n", + " \n", + " # extract support vector index\n", + " S = []\n", + " M = []\n", + " for n in range(len(a)):\n", + " if 0 < a[n]:\n", + " S.append(n)\n", + " if 0 < a[n] < C:\n", + " M.append(n)\n", + " \n", + " # Caclulate intercept b\n", + " sum_value = 0\n", + " for n in M:\n", + " temp = 0\n", + " for m in S:\n", + " temp += a[m] * t[m] * kernel[n, m]\n", + " sum_value += (t[n] - temp)\n", + " b = sum_value / len(M)\n", + "# print(\"Support Vector and Intercept\")\n", + "# print(S, b)\n", + " return a, b\n", + "\n", + "def draw_contour(X, t, kernel_func, mesh=30):\n", + " # draw training data \n", + " for n in range(len(X)):\n", + " if t[n] > 0:\n", + " scatter(X[n,0], X[n,1], c='b', marker='o')\n", + " else:\n", + " scatter(X[n,0], X[n,1], c='r', marker='o')\n", + "\n", + " # draw support vector\n", + " # for n in S:\n", + " # scatter(X[n,0], X[n,1], s=80, c='c', marker='o')\n", + " \n", + " grid_min = X.min() - abs(X.min())*0.1\n", + " grid_max = X.max() + abs(X.max())*0.1\n", + " # draw boundary\n", + " X1, X2 = meshgrid(linspace(grid_min, grid_max,mesh), linspace(grid_min,grid_max,mesh))\n", + " w, h = X1.shape\n", + " X1.resize(X1.size)\n", + " X2.resize(X2.size)\n", + " Z = array([f(array([x1, x2]), a, t, X, b, kernel_func) for (x1, x2) in tqdm(zip(X1, X2),total=len(X1))])\n", + " X1.resize((w, h))\n", + " X2.resize((w, h))\n", + " Z.resize((w, h))\n", + " CS = contour(X1, X2, Z, [0.0], colors='k', linewidths=1, origin='lower')\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "kernel_dict = {\"gaussian\":{\"mat\":g_kernel, \"func\":gaussian_kernel},\n", + " \"polynominal\": {\"mat\":poly_kernel, \"func\":polynomial_kernel},\n", + " \"quantum\": {\"mat\": q_kernel, \"func\": quantum_kernel}\n", + " }" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Gaussian Ver" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " pcost dcost gap pres dres\n", + " 0: -1.4034e+01 -3.9285e+01 2e+02 4e+00 3e-16\n", + " 1: -1.1054e+01 -3.0303e+01 2e+01 5e-16 4e-16\n", + " 2: -1.2515e+01 -1.4156e+01 2e+00 1e-15 4e-16\n", + " 3: -1.3526e+01 -1.3616e+01 9e-02 2e-16 3e-16\n", + " 4: -1.3584e+01 -1.3591e+01 7e-03 2e-15 2e-16\n", + " 5: -1.3588e+01 -1.3588e+01 4e-04 6e-16 2e-16\n", + " 6: -1.3588e+01 -1.3588e+01 2e-05 4e-16 2e-16\n", + " 7: -1.3588e+01 -1.3588e+01 4e-07 1e-15 2e-16\n", + "Optimal solution found.\n", + "Lagrange Param\n", + "[0.5 0.5 0.4999999 0.5 0.5 0.5\n", + " 0.20369032 0.5 0.5 0.36572421 0.5 0.5\n", + " 0.5 0.49999896 0.5 0.5 0.5 0.5\n", + " 0.5 0.5 0.48615509 0.5 0.5 0.5\n", + " 0.49999999 0.5 0.5 0.5 0.5 0.5\n", + " 0.5 0.5 0.5 0.5 0.49999999 0.49996545\n", + " 0.5 0.5 0.5 0.08329286]\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "mesh=10\n", + "C = 0.5 # hyper-parameter of soft-margin SVM\n", + "\n", + "\n", + "# load traing dataset as input\n", + "N = len(df_train)\n", + "data = df_train.iloc[:,0:2].values\n", + "label = df_train.iloc[:,2].apply(lambda x: 1.0 if x==\"A\" else -1.0)\n", + " \n", + "# decide the choice of kernel\n", + "kernel_choice = kernel_dict[\"gaussian\"]\n", + "\n", + "a, b = get_laglange_param(t=label, kernel=kernel_choice[\"mat\"])\n", + "draw_contour(X=data,t=label, kernel_func=kernel_choice[\"func\"],mesh=mesh)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " pcost dcost gap pres dres\n", + " 0: -1.4034e+01 -3.9285e+01 2e+02 4e+00 3e-16\n", + " 1: -1.1054e+01 -3.0303e+01 2e+01 5e-16 4e-16\n", + " 2: -1.2515e+01 -1.4156e+01 2e+00 1e-15 4e-16\n", + " 3: -1.3526e+01 -1.3616e+01 9e-02 2e-16 3e-16\n", + " 4: -1.3584e+01 -1.3591e+01 7e-03 2e-15 2e-16\n", + " 5: -1.3588e+01 -1.3588e+01 4e-04 6e-16 2e-16\n", + " 6: -1.3588e+01 -1.3588e+01 2e-05 4e-16 2e-16\n", + " 7: -1.3588e+01 -1.3588e+01 4e-07 1e-15 2e-16\n", + "Optimal solution found.\n", + "Lagrange Param\n", + "[0.5 0.5 0.4999999 0.5 0.5 0.5\n", + " 0.20369032 0.5 0.5 0.36572421 0.5 0.5\n", + " 0.5 0.49999896 0.5 0.5 0.5 0.5\n", + " 0.5 0.5 0.48615509 0.5 0.5 0.5\n", + " 0.49999999 0.5 0.5 0.5 0.5 0.5\n", + " 0.5 0.5 0.5 0.5 0.49999999 0.49996545\n", + " 0.5 0.5 0.5 0.08329286]\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "ec42effc032349d0a2e639412597c7f5", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatProgress(value=0.0, max=900.0), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "mesh=30\n", + "C = 0.5 # hyper-parameter of soft-margin SVM\n", + "\n", + "\n", + "# load traing dataset as input\n", + "N = len(df_train)\n", + "data = df_train.iloc[:,0:2].values\n", + "label = df_train.iloc[:,2].apply(lambda x: 1.0 if x==\"A\" else -1.0)\n", + " \n", + "# decide the choice of kernel\n", + "kernel_choice = kernel_dict[\"gaussian\"]\n", + "\n", + "a, b = get_laglange_param(t=label, kernel=kernel_choice[\"mat\"])\n", + "draw_contour(X=data,t=label, kernel_func=kernel_choice[\"func\"],mesh=mesh)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Quantum Ver" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "C = 0.5 # hyper-parameter of soft-margin SVM\n", + "mesh = 10\n", + "\n", + "# load traing dataset as input\n", + "N = len(df_train)\n", + "data = df_train.iloc[:,0:2].values\n", + "label = df_train.iloc[:,2].apply(lambda x: 1.0 if x==\"A\" else -1.0)\n", + " \n", + "# decide the choice of kernel\n", + "kernel_choice = kernel_dict[\"quantum\"]\n", + "\n", + "a, b = get_laglange_param(t=label, kernel=kernel_choice[\"mat\"])\n", + "draw_contour(X=data,t=label, kernel_func=kernel_choice[\"func\"],mesh=mesh)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 179, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " pcost dcost gap pres dres\n", + " 0: -1.6261e+01 -4.2721e+01 2e+02 4e+00 9e-16\n", + " 1: -9.8006e+00 -3.3896e+01 2e+01 6e-16 1e-15\n", + " 2: -1.1119e+01 -1.3550e+01 2e+00 6e-16 7e-16\n", + " 3: -1.1991e+01 -1.2431e+01 4e-01 8e-16 7e-16\n", + " 4: -1.2189e+01 -1.2259e+01 7e-02 4e-16 9e-16\n", + " 5: -1.2226e+01 -1.2231e+01 5e-03 7e-16 8e-16\n", + " 6: -1.2229e+01 -1.2229e+01 2e-04 7e-16 8e-16\n", + " 7: -1.2229e+01 -1.2229e+01 6e-06 2e-16 9e-16\n", + "Optimal solution found.\n", + "Lagrange Param\n", + "[4.99999717e-01 3.28829011e-01 4.99999973e-01 1.71166050e-01\n", + " 4.99999963e-01 4.99999990e-01 4.99999969e-01 5.18658435e-05\n", + " 1.55087165e-07 1.76241338e-04 4.99999981e-01 1.11577986e-06\n", + " 4.99999985e-01 4.99999986e-01 4.99999965e-01 4.99999973e-01\n", + " 4.99999966e-01 4.99999991e-01 4.99999961e-01 4.99999980e-01\n", + " 4.99999960e-01 4.18337876e-01 4.99999959e-01 2.19603358e-06\n", + " 4.99999749e-01 4.99999987e-01 3.47917999e-06 8.18803814e-02\n", + " 8.54638675e-07 4.99999789e-01 4.99999950e-01 4.99999903e-01\n", + " 4.99999918e-01 4.99999871e-01 4.99999920e-01 4.99999982e-01\n", + " 3.24362352e-07 4.99999888e-01 4.99999864e-01 4.99999987e-01]\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "960b5dd2cbc4442ba2375c4ad4656c18", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatProgress(value=0.0, max=900.0), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1h 24min 51s, sys: 20min 36s, total: 1h 45min 28s\n", + "Wall time: 2h 30min 7s\n" + ] + } + ], + "source": [ + "C = 0.5 # hyper-parameter of soft-margin SVM\n", + "mesh = 10\n", + "\n", + "# load traing dataset as input\n", + "N = len(df_train)\n", + "data = df_train.iloc[:,0:2].values\n", + "label = df_train.iloc[:,2].apply(lambda x: 1.0 if x==\"A\" else -1.0)\n", + " \n", + "# decide the choice of kernel\n", + "kernel_choice = kernel_dict[\"quantum\"]\n", + "\n", + "a, b = get_laglange_param(t=label, kernel=kernel_choice[\"mat\"])\n", + "draw_contour(X=data,t=label, kernel_func=kernel_choice[\"func\"],mesh=mesh)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# 正解(Ground Truth)の領域\n", + "plt.figure(figsize=(9, 6))\n", + "sns.heatmap(np.array(sample_Total).T, annot=False, fmt='g', cmap='Blues').invert_yaxis()\n", + "# # plt.scatter(df_train[])\n", + "df_train[\"x_norm\"] = df_train[\"x\"].apply(lambda x: x/2/np.pi*100)\n", + "df_train[\"y_norm\"] = df_train[\"y\"].apply(lambda x: x/2/np.pi*100)\n", + "sns.scatterplot(data=df_train, x=\"x_norm\", y=\"y_norm\",hue=\"label\",s=70)\n", + "# plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Evaluate Model" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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154.2725662.827433B
161.3194696.094690B
170.3141593.958407B
184.0212391.319469B
196.0946904.084070B
\n", + "
" + ], + "text/plain": [ + " x y label\n", + "0 0.565487 5.152212 A\n", + "1 2.513274 0.188496 A\n", + "2 0.439823 0.188496 A\n", + "3 4.021239 0.439823 A\n", + "4 3.518584 0.816814 A\n", + "5 0.691150 0.691150 A\n", + "6 1.319469 3.330088 A\n", + "7 1.884956 3.455752 A\n", + "8 3.769911 0.565487 A\n", + "9 3.330088 6.031858 A\n", + "10 5.089380 3.330088 B\n", + "11 0.628319 1.319469 B\n", + "12 0.188496 3.958407 B\n", + "13 1.256637 0.565487 B\n", + "14 3.958407 4.586725 B\n", + "15 4.272566 2.827433 B\n", + "16 1.319469 6.094690 B\n", + "17 0.314159 3.958407 B\n", + "18 4.021239 1.319469 B\n", + "19 6.094690 4.084070 B" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "records = []\n", + "for label, data in test_input_unnormalized.items():\n", + " for x, y in data:\n", + " records.append({\"x\":x, \"y\":y, \"label\":label})\n", + "df_test = pd.DataFrame(records)\n", + "df_test" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " pcost dcost gap pres dres\n", + " 0: -1.4034e+01 -3.9285e+01 2e+02 4e+00 3e-16\n", + " 1: -1.1054e+01 -3.0303e+01 2e+01 5e-16 4e-16\n", + " 2: -1.2515e+01 -1.4156e+01 2e+00 1e-15 4e-16\n", + " 3: -1.3526e+01 -1.3616e+01 9e-02 2e-16 3e-16\n", + " 4: -1.3584e+01 -1.3591e+01 7e-03 2e-15 2e-16\n", + " 5: -1.3588e+01 -1.3588e+01 4e-04 6e-16 2e-16\n", + " 6: -1.3588e+01 -1.3588e+01 2e-05 4e-16 2e-16\n", + " 7: -1.3588e+01 -1.3588e+01 4e-07 1e-15 2e-16\n", + "Optimal solution found.\n", + "Lagrange Param\n", + "[0.5 0.5 0.4999999 0.5 0.5 0.5\n", + " 0.20369032 0.5 0.5 0.36572421 0.5 0.5\n", + " 0.5 0.49999896 0.5 0.5 0.5 0.5\n", + " 0.5 0.5 0.48615509 0.5 0.5 0.5\n", + " 0.49999999 0.5 0.5 0.5 0.5 0.5\n", + " 0.5 0.5 0.5 0.5 0.49999999 0.49996545\n", + " 0.5 0.5 0.5 0.08329286]\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "0ce8a26a26c149d8afdd9a9e292d5f08", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatProgress(value=0.0, max=20.0), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "# gaussian\n", + "kernel_choice = kernel_dict[\"gaussian\"]\n", + "data = df_train.iloc[:,:2].values\n", + "label = df_train.iloc[:,2].apply(lambda x: 1.0 if x==\"A\" else -1.0)\n", + "\n", + "a, b = get_laglange_param(t=label, kernel=kernel_choice[\"mat\"])\n", + "test_pred_g = array([f(array(row), a, label, data, b, kernel_choice[\"func\"]) for row in tqdm(df_test.iloc[:,:2].values,total=len(df_test))])\n", + "\n", + "\n", + "df_test[\"pred_g\"] = test_pred_g\n" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " pcost dcost gap pres dres\n", + " 0: -2.4271e+01 -4.7494e+01 3e+02 5e+00 8e-13\n", + " 1: -1.2021e+01 -3.8705e+01 3e+01 9e-02 7e-13\n", + " 2: -1.3330e+01 -1.7094e+01 4e+00 1e-02 5e-13\n", + " 3: -1.4641e+01 -1.5334e+01 7e-01 2e-03 6e-13\n", + " 4: -1.4850e+01 -1.4956e+01 1e-01 2e-04 7e-13\n", + " 5: -1.4886e+01 -1.4912e+01 3e-02 4e-05 6e-13\n", + " 6: -1.4896e+01 -1.4902e+01 6e-03 8e-06 8e-13\n", + " 7: -1.4899e+01 -1.4899e+01 4e-04 1e-15 8e-13\n", + " 8: -1.4899e+01 -1.4899e+01 1e-05 4e-16 9e-13\n", + "Optimal solution found.\n", + "Lagrange Param\n", + "[4.99999767e-01 4.99999913e-01 2.19786004e-07 4.99999963e-01\n", + " 4.98928778e-01 4.99996573e-01 2.29605336e-07 2.55749867e-06\n", + " 4.99999957e-01 4.99999925e-01 4.99999923e-01 4.99999874e-01\n", + " 4.99998794e-01 4.99999924e-01 4.99999906e-01 4.99999933e-01\n", + " 4.99999935e-01 2.54798744e-07 4.99999802e-01 4.99999956e-01\n", + " 4.99999188e-01 4.99999841e-01 4.99999916e-01 4.99999155e-01\n", + " 6.81638170e-08 3.60101624e-01 2.88855305e-01 4.99999876e-01\n", + " 4.99999720e-01 3.13837405e-01 4.99999561e-01 4.99999843e-01\n", + " 4.99999920e-01 9.13502434e-02 5.73799349e-08 4.99999161e-01\n", + " 4.99999905e-01 4.99999773e-01 4.44786377e-01 4.99999247e-01]\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "7f22419825164c86b4be2792d83cc926", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatProgress(value=0.0, max=20.0), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "# polynominal\n", + "kernel_choice = kernel_dict[\"polynominal\"]\n", + "data = df_train.iloc[:,:2].values\n", + "label = df_train.iloc[:,2].apply(lambda x: 1.0 if x==\"A\" else -1.0)\n", + "\n", + "a, b = get_laglange_param(t=label, kernel=kernel_choice[\"mat\"])\n", + "test_pred_p = array([f(array(row), a, label, data, b, kernel_choice[\"func\"]) for row in tqdm(df_test.iloc[:,:2].values,total=len(df_test))])\n", + "\n", + "\n", + "df_test[\"pred_p\"] = test_pred_p\n" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " pcost dcost gap pres dres\n", + " 0: -6.6195e+00 -3.2162e+01 1e+02 3e+00 3e-16\n", + " 1: -5.8688e+00 -2.3288e+01 2e+01 4e-16 4e-16\n", + " 2: -6.3244e+00 -8.1191e+00 2e+00 1e-16 4e-16\n", + " 3: -6.8881e+00 -7.2596e+00 4e-01 8e-16 5e-16\n", + " 4: -7.0238e+00 -7.0923e+00 7e-02 2e-16 4e-16\n", + " 5: -7.0518e+00 -7.0607e+00 9e-03 5e-16 4e-16\n", + " 6: -7.0555e+00 -7.0559e+00 4e-04 4e-16 4e-16\n", + " 7: -7.0556e+00 -7.0557e+00 1e-05 2e-15 4e-16\n", + " 8: -7.0556e+00 -7.0556e+00 2e-07 7e-16 4e-16\n", + "Optimal solution found.\n", + "Lagrange Param\n", + "[2.51038711e-09 4.99999999e-01 4.99999994e-01 4.64709226e-01\n", + " 4.99999999e-01 5.77246300e-09 1.60822009e-08 1.59506362e-09\n", + " 1.89399157e-09 1.09471141e-01 4.99999991e-01 4.99999965e-01\n", + " 4.99999997e-01 4.99999994e-01 4.54102318e-09 4.99999995e-01\n", + " 4.99999987e-01 4.18223969e-01 7.80088970e-09 4.99999986e-01\n", + " 1.18850931e-08 1.08716690e-09 4.99999997e-01 4.99999998e-01\n", + " 4.94392308e-09 3.50711845e-01 4.26061145e-01 4.99999998e-01\n", + " 4.99999994e-01 4.99999999e-01 4.99999904e-01 4.99999982e-01\n", + " 3.50508821e-01 2.35003767e-01 7.26245036e-09 4.39143108e-01\n", + " 4.22756193e-02 4.90599204e-01 1.58100859e-01 1.55820901e-08]\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "1203aa67087f487babea81e2d9ac54ba", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatProgress(value=0.0, max=20.0), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "# quantum\n", + "kernel_choice = kernel_dict[\"quantum\"]\n", + "data = df_train.iloc[:,:2].values\n", + "label = df_train.iloc[:,2].apply(lambda x: 1.0 if x==\"A\" else -1.0)\n", + "\n", + "a, b = get_laglange_param(t=label, kernel=kernel_choice[\"mat\"])\n", + "test_pred_q = array([f(array(row), a, label, data, b, kernel_choice[\"func\"]) for row in tqdm(df_test.iloc[:,:2].values,total=len(df_test))])\n", + "\n", + "\n", + "df_test[\"pred_q\"] = test_pred_q\n" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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xylabelpred_gpred_ppred_q
00.5654875.152212A-0.0963950.0910290.030786
12.5132740.188496A0.3215762.0789050.873018
20.4398230.188496A0.0058561.3990001.403786
34.0212390.439823A0.2635730.9902311.053747
43.5185840.816814A0.6270010.7562791.224935
50.6911500.691150A0.1760460.7981230.652803
61.3194693.330088A-0.045794-0.6493870.456991
71.8849563.455752A-0.190002-0.5153790.230357
83.7699110.565487A0.6686120.9715521.404014
93.3300886.031858A0.3160551.3446141.012408
105.0893803.330088B-0.238775-2.434111-0.767631
110.6283191.319469B-0.424618-0.017735-1.113979
120.1884963.958407B-0.060730-1.127349-0.946742
131.2566370.565487B0.2546921.283304-0.455718
143.9584074.586725B-0.441423-0.773341-0.968189
154.2725662.827433B-0.064848-1.469338-0.927049
161.3194696.094690B0.0518031.744376-0.827565
170.3141593.958407B-0.060666-1.029154-0.839124
184.0212391.319469B-0.274184-0.213170-0.818061
196.0946904.084070B-0.026641-3.787319-1.003486
\n", + "
" + ], + "text/plain": [ + " x y label pred_g pred_p pred_q\n", + "0 0.565487 5.152212 A -0.096395 0.091029 0.030786\n", + "1 2.513274 0.188496 A 0.321576 2.078905 0.873018\n", + "2 0.439823 0.188496 A 0.005856 1.399000 1.403786\n", + "3 4.021239 0.439823 A 0.263573 0.990231 1.053747\n", + "4 3.518584 0.816814 A 0.627001 0.756279 1.224935\n", + "5 0.691150 0.691150 A 0.176046 0.798123 0.652803\n", + "6 1.319469 3.330088 A -0.045794 -0.649387 0.456991\n", + "7 1.884956 3.455752 A -0.190002 -0.515379 0.230357\n", + "8 3.769911 0.565487 A 0.668612 0.971552 1.404014\n", + "9 3.330088 6.031858 A 0.316055 1.344614 1.012408\n", + "10 5.089380 3.330088 B -0.238775 -2.434111 -0.767631\n", + "11 0.628319 1.319469 B -0.424618 -0.017735 -1.113979\n", + "12 0.188496 3.958407 B -0.060730 -1.127349 -0.946742\n", + "13 1.256637 0.565487 B 0.254692 1.283304 -0.455718\n", + "14 3.958407 4.586725 B -0.441423 -0.773341 -0.968189\n", + "15 4.272566 2.827433 B -0.064848 -1.469338 -0.927049\n", + "16 1.319469 6.094690 B 0.051803 1.744376 -0.827565\n", + "17 0.314159 3.958407 B -0.060666 -1.029154 -0.839124\n", + "18 4.021239 1.319469 B -0.274184 -0.213170 -0.818061\n", + "19 6.094690 4.084070 B -0.026641 -3.787319 -1.003486" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_test" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Breast Cancer Dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1.1 s, sys: 25 ms, total: 1.12 s\n", + "Wall time: 154 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "\n", + "training_dataset_size=20\n", + "testing_dataset_size=10\n", + "feature_dim=2\n", + "aqua_globals.random_seed = seed\n", + "sample_Total, training_input_unnormalized_br, test_input_unnormalized_br, class_labels = breast_cancer(\n", + " training_size=training_dataset_size, \n", + " test_size=testing_dataset_size, \n", + " n=feature_dim, plot_data=True\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "2dbe32f3f20c408cbd449e20c59f06f3", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatProgress(value=0.0, max=40.0), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "records = []\n", + "for label, data in training_input_unnormalized_br.items():\n", + " for x, y in data:\n", + " records.append({\"x\":x, \"y\":y, \"label\":label})\n", + "df_train_br = pd.DataFrame(records)\n", + "\n", + "q_kernel_br = []\n", + "for ind, row in tqdm(df_train_br.iterrows(),total=len(df_train)):\n", + " q_kernel_br.append([quantum_kernel(row[:2].values, row_in[:2].values) for ind_in, row_in in df_train_br.iterrows()])\n", + "q_kernel_br = np.array(q_kernel_br)" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [], + "source": [ + "poly_kernel_br = [] \n", + "for i in range(len(df_train_br)):\n", + " poly_kernel_br.append(\n", + " [polynomial_kernel(df_train_br.iloc[i,:2], df_train_br.iloc[ii,:2]) for ii in range(len(df_train_br))]\n", + " )\n", + "poly_kernel_br = np.array(poly_kernel_br) \n", + "\n", + "g_kernel_br = [] \n", + "for i in range(len(df_train_br)):\n", + " g_kernel_br.append(\n", + "# [gaussian_kernel(df_train_br.iloc[i,:2], df_train_br.iloc[ii,:2], sigma=0.5) for ii in range(len(df_train_br))]\n", + " [gaussian_kernel(df_train_br.iloc[i,:2], df_train_br.iloc[ii,:2]) for ii in range(len(df_train_br))]\n", + " )\n", + "g_kernel_br = np.array(g_kernel_br) " + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " pcost dcost gap pres dres\n", + " 0: -1.6261e+01 -4.2721e+01 2e+02 4e+00 9e-16\n", + " 1: -9.8006e+00 -3.3896e+01 2e+01 6e-16 1e-15\n", + " 2: -1.1119e+01 -1.3550e+01 2e+00 6e-16 7e-16\n", + " 3: -1.1991e+01 -1.2431e+01 4e-01 8e-16 7e-16\n", + " 4: -1.2189e+01 -1.2259e+01 7e-02 4e-16 9e-16\n", + " 5: -1.2226e+01 -1.2231e+01 5e-03 7e-16 8e-16\n", + " 6: -1.2229e+01 -1.2229e+01 2e-04 7e-16 8e-16\n", + " 7: -1.2229e+01 -1.2229e+01 6e-06 2e-16 9e-16\n", + "Optimal solution found.\n", + "Lagrange Param\n", + "[4.99999717e-01 3.28829011e-01 4.99999973e-01 1.71166050e-01\n", + " 4.99999963e-01 4.99999990e-01 4.99999969e-01 5.18658435e-05\n", + " 1.55087165e-07 1.76241338e-04 4.99999981e-01 1.11577986e-06\n", + " 4.99999985e-01 4.99999986e-01 4.99999965e-01 4.99999973e-01\n", + " 4.99999966e-01 4.99999991e-01 4.99999961e-01 4.99999980e-01\n", + " 4.99999960e-01 4.18337876e-01 4.99999959e-01 2.19603358e-06\n", + " 4.99999749e-01 4.99999987e-01 3.47917999e-06 8.18803814e-02\n", + " 8.54638675e-07 4.99999789e-01 4.99999950e-01 4.99999903e-01\n", + " 4.99999918e-01 4.99999871e-01 4.99999920e-01 4.99999982e-01\n", + " 3.24362352e-07 4.99999888e-01 4.99999864e-01 4.99999987e-01]\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "21521c4864604f68be8ed6d5bff8a7a7", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatProgress(value=0.0, max=20.0), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + " pcost dcost gap pres dres\n", + " 0: -7.0511e+00 -4.1967e+01 3e+02 5e+00 5e-16\n", + " 1: -4.3307e+00 -3.2479e+01 3e+01 6e-16 6e-16\n", + " 2: -4.9028e+00 -8.1638e+00 3e+00 3e-16 5e-16\n", + " 3: -5.5998e+00 -6.3486e+00 7e-01 1e-15 4e-16\n", + " 4: -5.7942e+00 -5.9394e+00 1e-01 1e-15 4e-16\n", + " 5: -5.8489e+00 -5.8613e+00 1e-02 4e-16 3e-16\n", + " 6: -5.8530e+00 -5.8535e+00 5e-04 2e-16 4e-16\n", + " 7: -5.8532e+00 -5.8532e+00 1e-05 2e-16 5e-16\n", + " 8: -5.8532e+00 -5.8532e+00 1e-07 4e-16 5e-16\n", + "Optimal solution found.\n", + "Lagrange Param\n", + "[1.10903341e-09 9.06616526e-09 5.00000000e-01 1.13414736e-08\n", + " 3.53249342e-01 4.99999999e-01 4.99999999e-01 7.32615124e-06\n", + " 1.06093210e-01 1.47564321e-02 3.50596007e-01 1.44167620e-01\n", + " 4.25891867e-01 3.57300253e-01 2.00866662e-09 4.99999999e-01\n", + " 5.00000000e-01 2.37856149e-02 2.16130892e-09 2.49507247e-09\n", + " 1.29920042e-01 1.75962967e-09 4.99999931e-01 1.28038122e-09\n", + " 4.99999999e-01 4.99999999e-01 1.21171964e-09 1.26909940e-09\n", + " 1.49045809e-09 1.86493887e-09 3.23320548e-01 3.38730614e-09\n", + " 4.99999996e-01 2.87689102e-09 3.22607169e-01 5.00000000e-01\n", + " 1.36984067e-09 3.25653223e-09 4.99999995e-01 4.99999999e-01]\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "952b1467834b484792305c89fa6d3ac6", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatProgress(value=0.0, max=20.0), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + " pcost dcost gap pres dres\n", + " 0: -9.3807e+00 -3.7617e+01 2e+02 4e+00 1e-15\n", + " 1: -5.4570e+00 -2.8362e+01 3e+01 2e-01 2e-15\n", + " 2: -5.7332e+00 -8.8163e+00 3e+00 2e-02 1e-15\n", + " 3: -6.7925e+00 -7.4308e+00 7e-01 3e-03 1e-15\n", + " 4: -6.9988e+00 -7.2117e+00 2e-01 7e-04 2e-15\n", + " 5: -7.0892e+00 -7.1126e+00 2e-02 3e-05 1e-15\n", + " 6: -7.0995e+00 -7.1004e+00 9e-04 7e-07 2e-15\n", + " 7: -7.1000e+00 -7.1000e+00 3e-05 1e-08 2e-15\n", + " 8: -7.1000e+00 -7.1000e+00 5e-07 1e-10 2e-15\n", + "Optimal solution found.\n", + "Lagrange Param\n", + "[1.96332992e-09 1.11585177e-09 4.99999998e-01 1.21922224e-09\n", + " 4.99999990e-01 4.99999997e-01 4.99999996e-01 5.12880152e-10\n", + " 1.29742817e-09 5.12231101e-10 4.99999976e-01 4.92146066e-10\n", + " 3.75330055e-10 4.31746198e-10 1.05052439e-09 4.99999998e-01\n", + " 4.99999998e-01 4.99960609e-01 4.99999983e-01 4.99999552e-01\n", + " 4.45391137e-09 2.45175035e-09 4.99999993e-01 4.00409220e-09\n", + " 4.99999996e-01 4.99999997e-01 3.79021667e-09 3.73027543e-09\n", + " 5.28275695e-09 4.99999962e-01 9.76127884e-10 4.99960182e-01\n", + " 4.99999997e-01 2.60728669e-09 4.99999994e-01 4.99999999e-01\n", + " 2.36779942e-09 1.94520551e-09 4.99999956e-01 4.99999998e-01]\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "1903dff61a7e4871a7e970c67305c167", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatProgress(value=0.0, max=20.0), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n" + ] + }, + { + "data": { + "text/html": [ + "
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xylabelpred_qpred_gpred_p
0-0.1038980.179248A1.6677390.8195671.309670
1-0.530864-0.457307A-0.1556070.073109-0.222972
2-0.210400-0.424927A0.9262521.3692971.066187
3-0.021150-0.468933A0.7916801.2343161.707608
4-0.208184-0.487275A1.0996811.3540761.088123
50.157078-0.476244A0.0495461.0448742.214529
60.1162750.720881A0.3423490.5421341.735123
7-0.068440-0.523605A1.1666461.2729201.579304
8-0.544330-0.513921A-0.4893450.028090-0.287809
9-0.310342-0.539510A0.6717271.1766530.712117
10-0.826526-0.433602B-0.751357-1.291709-1.667046
11-0.732916-0.506476B-0.802851-0.996217-1.200860
12-0.904097-0.007621B0.133604-0.439558-1.875238
13-0.786333-0.395776B-0.884828-1.261318-1.443992
14-0.533035-0.396734B0.1445470.030226-0.227741
15-0.604797-0.257585B0.406943-0.411334-0.528377
16-0.505759-0.169518B0.5045640.243934-0.082472
17-0.973726-0.294057B-0.581649-1.034058-2.407620
18-0.658269-0.513102B-0.816443-0.655665-0.828403
19-0.781145-0.319219B-0.819085-1.226320-1.391629
\n", + "
" + ], + "text/plain": [ + " x y label pred_q pred_g pred_p\n", + "0 -0.103898 0.179248 A 1.667739 0.819567 1.309670\n", + "1 -0.530864 -0.457307 A -0.155607 0.073109 -0.222972\n", + "2 -0.210400 -0.424927 A 0.926252 1.369297 1.066187\n", + "3 -0.021150 -0.468933 A 0.791680 1.234316 1.707608\n", + "4 -0.208184 -0.487275 A 1.099681 1.354076 1.088123\n", + "5 0.157078 -0.476244 A 0.049546 1.044874 2.214529\n", + "6 0.116275 0.720881 A 0.342349 0.542134 1.735123\n", + "7 -0.068440 -0.523605 A 1.166646 1.272920 1.579304\n", + "8 -0.544330 -0.513921 A -0.489345 0.028090 -0.287809\n", + "9 -0.310342 -0.539510 A 0.671727 1.176653 0.712117\n", + "10 -0.826526 -0.433602 B -0.751357 -1.291709 -1.667046\n", + "11 -0.732916 -0.506476 B -0.802851 -0.996217 -1.200860\n", + "12 -0.904097 -0.007621 B 0.133604 -0.439558 -1.875238\n", + "13 -0.786333 -0.395776 B -0.884828 -1.261318 -1.443992\n", + "14 -0.533035 -0.396734 B 0.144547 0.030226 -0.227741\n", + "15 -0.604797 -0.257585 B 0.406943 -0.411334 -0.528377\n", + "16 -0.505759 -0.169518 B 0.504564 0.243934 -0.082472\n", + "17 -0.973726 -0.294057 B -0.581649 -1.034058 -2.407620\n", + "18 -0.658269 -0.513102 B -0.816443 -0.655665 -0.828403\n", + "19 -0.781145 -0.319219 B -0.819085 -1.226320 -1.391629" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "records = []\n", + "for label, data in test_input_unnormalized_br.items():\n", + " for x, y in data:\n", + " records.append({\"x\":x, \"y\":y, \"label\":label})\n", + "df_test_br = pd.DataFrame(records)\n", + "\n", + "\n", + "kernel_dict = {\"gaussian\":{\"mat\":g_kernel_br, \"func\":gaussian_kernel},\n", + " \"polynominal\": {\"mat\":poly_kernel_br, \"func\":polynomial_kernel},\n", + " \"quantum\": {\"mat\": q_kernel_br, \"func\": quantum_kernel}\n", + " }\n", + "\n", + "# quantum\n", + "kernel_choice = kernel_dict[\"quantum\"]\n", + "data = df_train_br.iloc[:,:2].values\n", + "label = df_train_br.iloc[:,2].apply(lambda x: 1.0 if x==\"A\" else -1.0)\n", + "\n", + "a, b = get_laglange_param(X=data,t=label, kernel=kernel_choice[\"mat\"])\n", + "test_pred_q = array([f(array(row), a, label, data, b, kernel_choice[\"func\"]) for row in tqdm(df_test_br.iloc[:,:2].values,total=len(df_test_br))])\n", + "\n", + "\n", + "df_test_br[\"pred_q\"] = test_pred_q\n", + "\n", + "# gaussian\n", + "kernel_choice = kernel_dict[\"gaussian\"]\n", + "data = df_train_br.iloc[:,:2].values\n", + "label = df_train_br.iloc[:,2].apply(lambda x: 1.0 if x==\"A\" else -1.0)\n", + "\n", + "a, b = get_laglange_param(X=data,t=label, kernel=kernel_choice[\"mat\"])\n", + "test_pred_g = array([f(array(row), a, label, data, b, kernel_choice[\"func\"]) for row in tqdm(df_test_br.iloc[:,:2].values,total=len(df_test_br))])\n", + "\n", + "\n", + "df_test_br[\"pred_g\"] = test_pred_g\n", + "\n", + "# polynominal\n", + "kernel_choice = kernel_dict[\"polynominal\"]\n", + "data = df_train_br.iloc[:,:2].values\n", + "label = df_train_br.iloc[:,2].apply(lambda x: 1.0 if x==\"A\" else -1.0)\n", + "\n", + "a, b = get_laglange_param(X=data,t=label, kernel=kernel_choice[\"mat\"])\n", + "test_pred_p = array([f(array(row), a, label, data, b, kernel_choice[\"func\"]) for row in tqdm(df_test_br.iloc[:,:2].values,total=len(df_test_br))])\n", + "\n", + "\n", + "df_test_br[\"pred_p\"] = test_pred_p\n", + "\n", + "df_test_br" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "breast cancer/Accuracy: 0.75\n", + "Ad hoc/Accuracy: 1.0\n" + ] + } + ], + "source": [ + "# Comparison against Library\n", + "\n", + "os.environ['QISKIT_IN_PARALLEL'] = 'TRUE' # brokeProcessError can be fix by this command\n", + "shots=1024\n", + "# Wall time: 9.47 s for train_size = 20 test_size = 10\n", + "backend = BasicAer.get_backend('qasm_simulator')\n", + "feature_map = ZZFeatureMap(feature_dim, reps=2)\n", + "svm = QSVM(feature_map, training_input_unnormalized_br, test_input_unnormalized_br, None) # the data for prediction can be fed later.\n", + "svm.random_seed = seed\n", + "quantum_instance = QuantumInstance(backend, shots=shots, seed_simulator=seed, seed_transpiler=seed)\n", + "result = svm.run(quantum_instance)\n", + "kernel_matrix = result['kernel_matrix_training']\n", + "print(\"breast cancer/Accuracy: \", result[\"testing_accuracy\"])\n", + "\n", + "svm = QSVM(feature_map, training_input_unnormalized, test_input_unnormalized, None) # the data for prediction can be fed later.\n", + "svm.random_seed = seed\n", + "quantum_instance = QuantumInstance(backend, shots=shots, seed_simulator=seed, seed_transpiler=seed)\n", + "result = svm.run(quantum_instance)\n", + "kernel_matrix = result['kernel_matrix_training']\n", + "print(\"Ad hoc/Accuracy: \", result[\"testing_accuracy\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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xylabelpred_qpred_gpred_ppred_q_lib
0-0.1038980.179248A1.6677390.8195671.3096700
1-0.530864-0.457307A-0.1556070.073109-0.2229721
2-0.210400-0.424927A0.9262521.3692971.0661870
3-0.021150-0.468933A0.7916801.2343161.7076080
4-0.208184-0.487275A1.0996811.3540761.0881230
50.157078-0.476244A0.0495461.0448742.2145290
60.1162750.720881A0.3423490.5421341.7351231
7-0.068440-0.523605A1.1666461.2729201.5793040
8-0.544330-0.513921A-0.4893450.028090-0.2878091
9-0.310342-0.539510A0.6717271.1766530.7121171
10-0.826526-0.433602B-0.751357-1.291709-1.6670461
11-0.732916-0.506476B-0.802851-0.996217-1.2008600
12-0.904097-0.007621B0.133604-0.439558-1.8752381
13-0.786333-0.395776B-0.884828-1.261318-1.4439921
14-0.533035-0.396734B0.1445470.030226-0.2277411
15-0.604797-0.257585B0.406943-0.411334-0.5283771
16-0.505759-0.169518B0.5045640.243934-0.0824721
17-0.973726-0.294057B-0.581649-1.034058-2.4076201
18-0.658269-0.513102B-0.816443-0.655665-0.8284030
19-0.781145-0.319219B-0.819085-1.226320-1.3916291
\n", + "
" + ], + "text/plain": [ + " x y label pred_q pred_g pred_p pred_q_lib\n", + "0 -0.103898 0.179248 A 1.667739 0.819567 1.309670 0\n", + "1 -0.530864 -0.457307 A -0.155607 0.073109 -0.222972 1\n", + "2 -0.210400 -0.424927 A 0.926252 1.369297 1.066187 0\n", + "3 -0.021150 -0.468933 A 0.791680 1.234316 1.707608 0\n", + "4 -0.208184 -0.487275 A 1.099681 1.354076 1.088123 0\n", + "5 0.157078 -0.476244 A 0.049546 1.044874 2.214529 0\n", + "6 0.116275 0.720881 A 0.342349 0.542134 1.735123 1\n", + "7 -0.068440 -0.523605 A 1.166646 1.272920 1.579304 0\n", + "8 -0.544330 -0.513921 A -0.489345 0.028090 -0.287809 1\n", + "9 -0.310342 -0.539510 A 0.671727 1.176653 0.712117 1\n", + "10 -0.826526 -0.433602 B -0.751357 -1.291709 -1.667046 1\n", + "11 -0.732916 -0.506476 B -0.802851 -0.996217 -1.200860 0\n", + "12 -0.904097 -0.007621 B 0.133604 -0.439558 -1.875238 1\n", + "13 -0.786333 -0.395776 B -0.884828 -1.261318 -1.443992 1\n", + "14 -0.533035 -0.396734 B 0.144547 0.030226 -0.227741 1\n", + "15 -0.604797 -0.257585 B 0.406943 -0.411334 -0.528377 1\n", + "16 -0.505759 -0.169518 B 0.504564 0.243934 -0.082472 1\n", + "17 -0.973726 -0.294057 B -0.581649 -1.034058 -2.407620 1\n", + "18 -0.658269 -0.513102 B -0.816443 -0.655665 -0.828403 0\n", + "19 -0.781145 -0.319219 B -0.819085 -1.226320 -1.391629 1" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# breast Cancer Result\n", + "pred_q_lib = svm.predict(df_test_br.iloc[:,:2].values)\n", + "\n", + "df_test_br[\"pred_q_lib\"] = pred_q_lib\n", + "df_test_br" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "breast cancer/Accuracy: 0.7\n", + "breast cancer/Accuracy: 1.0\n" + ] + } + ], + "source": [ + "# Accuracy of QSVM scractch\n", + "# breast Cancer accuracy \n", + "print(\"breast cancer/Accuracy: \",\n", + " df_test_br.apply(lambda x: (x[\"label\"] ==\"A\" and x[\"pred_q\"] >0) or (x[\"label\"] ==\"B\" and x[\"pred_q\"] < 0), axis=1).sum()/len(df_test_br))\n", + "# ad_hoc accuracy \n", + "print(\"breast cancer/Accuracy: \",\n", + " df_test.apply(lambda x: (x[\"label\"] ==\"A\" and x[\"pred_q\"] >0) or (x[\"label\"] ==\"B\" and x[\"pred_q\"] < 0), axis=1).sum()/len(df_test))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Periodic Data" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# I expect QSVM can classify periodic boundary well\n", + "# It turned out to be not the case..." + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [], + "source": [ + "import random\n", + "periodic_data = np.zeros((100,100))\n", + "flip_lists = sum([list(range(i*10, i*10+10)) for i in range(0,10, 2)],[])\n", + "periodic_data[: , flip_lists] = 1\n", + "\n", + "training_data_num = 40\n", + "test_data_num = 40\n", + "\n", + "random.seed(1)\n", + "random_ind_x = random.sample(range(100),training_data_num + test_data_num)\n", + "random_ind_y = random.sample(range(100),training_data_num + test_data_num)\n", + "traing_data_label = periodic_data[random_ind_x, random_ind_y]\n", + "df_period = pd.DataFrame({\"x\":np.array(random_ind_x)/100*2*np.pi, \"y\": np.array(random_ind_y)/100*2*np.pi, \"label\": traing_data_label})\n", + "df_period_train = df_period[:training_data_num].copy()\n", + "df_period_test = df_period[training_data_num:].copy()" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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SVEREpH5ph7/q1hf2mcBPhX0eJHbvot4K+/y4tGhD4l/vnUmLKCotr68uREREEk6kC/vs0Dxzk7Zd2ueQnqJdi0VEJHga+W/E3ResL+7j7qvc/YX6ruiXm5nK0EN3Zv2/+w55Gfz52N5kpNXbnQUREZEamVmdXmGJ9NL4rPQ0LjioG2fvuyPFZRVkp6eQp8V+IiLSUKI58G+45G9mrdx9eX1fNzMtlUyN9EVERLZaINP+ZnaTmbWOv+9vZrOAr81sjpkdEkSfIiIiDS2q0/5B3fM/zt2Xxd/fCpzh7jsTK0l4e00nVa3q9/CDte12KCIiEr6oJv+gpv1TzSzF3cuBTHcfDeDu082sxpvyVfc4LinfpHCBSJO0trSMkrJyKt3JSE0hOyMt7JBEJC6qq/2DSv73Am+a2U3A22Z2J/ASse19JwTUp0jCKSou5dZ3v+e5Mfm4w8Bd2nDrqXtpF0uRRkLJvwp3v8fMJgG/AXrG++kJjAT+FUSfIonGgKmLCnl29E+1sEZNW8rbkxZy+j474VFdZiwioQsk+ZvZZcDL7n5GENcXaQrMYMzsFZu0fzlrOb/o15nkpPrZwtqAguJSKt3JyUgjOUmbZIlstYh+Bw/qT/k/ia3u/9TMLl6/8l9Etl5lfJp/Y8fs3oGUekr868rKmTB3Oec98g0nDfucRz77gTUl6+rl2iJNQVQX/AWV/GcBnYh9CegPTDWzt81ssJnlBNSnSMLZsWUz/nxsL7LTU0hPSeKCA7uyf/fW9bYadnXJOs556GumLFzNotUl3P7udN6evBBqrwYqInFRTf5BLfhzd68E3gXeNbNU4BjgLOA2YNPhjIhsollGGmfvuxM/77MD7pCVnkJaSv38sTVg7JyVlFdWT/Qvj5vPoN060ExPFYhsUUTX+wWW/Kv963D3MuBV4FUz27Qaj4jUKCU5mbys+i9R7cBOrZpt0r5z22zSUlUSWySRBTXtX+NCP3cvDqhPEdlGnVpkcvyeHTb8vENeBpce1oPUZCV/ka0R1Wl/80Z6b0+b/Ig0jKKSdRSVlFFcVkHLZmk0z8rQHz5JCBkpwa/F73nV23X64zL9lkGhfAOIdFU/Eam77Iy0arsGKvGLbL2obvITVGGfXDP7t5k9YWZnb3TsviD6FBERka0T1D3/R4kt+nsRONPMXqyyp/9+NZ2kwj4iIhIlZnV7hSWoaf/u7n5K/P1IM7sW+NDMTqztJBX2ERGRKElKiua0f1DJP93MkuLP+uPuN5hZPvAJkB1QnyIiIg0qorf8A5v2fw04rGqDuz8O/AHQ3qEiIpIQovqoX1DJPx+YtnGju7/t7j0C6lNERDajoqKSgrWlrC0ti2odGqlnDVHY5xIz03a+IiIhKCou5f5RMzj9gS+44rnxzF9ZRGPd3yWKorrgryEK+/QDpqiwj4hIwyqvqOCBT2cx7KOZzFm+lo+nLeWU+79gdXFp2KElDE37V+fuXunu77r7BcAOwH3AIGJfDEQatSSLvUSirKi0jFfGz6/WtnJtGUsKlfzrS1STf6Mt7NNin6FBxCVSq8HH9+X6/+tH8xnPUpaSzeruJ3PWP97gm4lzwg5NZJv959qz6NQic5NkX7JmLW32/yvl5ZUhRdYwiscPC7wPrfavToV9JHJ2aJPHP365J+2ePYL00feR/eUt7PDS8Tz51+NJTg7qj4pIcB5+9mMuP6QLWWk/FWo6u39HPh8zPeETv9QukJG/u08P4roiQTr1iN1pNXE4VJT91Lh2Oc3mf8qA3bvw5be6YyXRMnnmAu4a/jqPX3wCCwtLaZuTwdjvfuCaO14KO7SEEdW9/VXYR0Qkgb31yUTe/nQS7VrlUFBUTHFJ2ZZPkq0W0dwfWGGf/mb2kZk9aWadzew9Mysws9Fm1jeIPkXq6oX3J7F8jyGQnPpTY1YrinY4kK8n/hheYCJ15O4sWrZaiT8AWvBX3X3AdUBz4AvgCnc/0swOjx/bf3MnmdkQYAhASqeBpLTeLaDwRDa1YGkBf3vyO64/932aT3+WspQcCrqfxP9d/waVlXouWkQShwWx2YOZjXf3vvH3c919x80dq01m36H621ZC0SI3i8P325Xi0jLe/3IqpevKww5JRLZD8fhhgQ+t+//rozrlqjF/OTSU4X9QI/8SMzsKyAPczE5y95FmdghQEVCfIvVi5eq1vPDuuLDDEJEI0IK/6n4D3AJUAkcDF5vZo8AC4tP6IiIiURfR3B9Y8s8ATnf3gvimPgXA58BkYFJAfYpIBLVvncuvT9qb7h1yeO3rebz84Xd6Bl0iI6oj/6B2LnkEWBN/fxeQA9wErAUeDahPEYmYfr078+V9Z/LHVq9y2pJ/cu/hy/no3sGkpeopZJEgBfUnLMnd16+S6u/ue8fff2ZmEwLqU0Qi5sGrBtH+lVOhaDEAOYsm0nvAGs47oR/DX/o65OhEtiyiA//ARv6TzOz8+Ptvzaw/gJn1BBr9g6Z9e3XmhIF7skObvLBDEUlYzTLTaJFStCHxr5c19TlOO7hbSFGJbBs951/dhcBdZvYXYBnwpZnNA+bFjzVKLXKzePM/Z9Gp9HuyVk6h8IJjGDluJb+7452wQxNJOKVl5ZC2mQrfOe1ZvHJtwwcksh008q/C3Qvc/TygD7HV/fsB+7v7Ie7+bRB91oeHrjmOPSZeR+t3f0PW6Ltp98JxnNF9OScM3D3s0EQSTnl5JR9MWEjJ7uf81JiSzrKf/Z3bnh0bXmAiTUCgpcrcvdDdv3X3se6+eMtnhCcpydi7e3OSZ39crb356Nv57c+V/BubZplppKSo0l7U/fa2t3gr/VQWnf4Oi49+mPlnjuKqJ6cz4fv8sEMT2Sqa9t8CM2vr7ksaqr/tUrmZx4sqykhNSd60XUKxd+/OPHjV0bRMWQNpOYyauIiLb3mLktJGv5RENqN0XTln/+0l8rIzadWiGXMWfEJFhR7zk+iI6rR/IMnfzFpu3AR8Ey/qY+6+Ioh+66Ky0pm2qJj2O/SFBeM3tBf2/Q0PvTElxMhkvbYtc3jh78fS4dVToXARACf1Pp3sv53Dade+EHJ0UhcFRcUUFBWHHYbINovqc/5BjfyXAXM2ausIjAMc2OxS3rAL+/zqhjd45857abvwXXJXTWbpjifw+eJcRryj2teNwUUn7U2b8XdsSPwAGVOeo/+p59MyrxkrCtbUcraISP1T8q/uKuAI4Ep3nwhgZj+6e9faTnL34cBwCKewz4KlBfQ59wGO2H9XunY4jM+encykGQsaOgypQbd22aSs/GGTdls9j9YtspX8RUS2UiDJ391vM7MRwB3xR/yuIzbib/QqKip55zNN8zdGr38zjxMGnUjOwir7RCWnUd5md2blfx5eYCLSZEV04B/can93z3f304CPgPeArKD6kqbh1VGTmJJ9CGv3vQJyOkCHPiw/6Tmuf+xL7QUvIqHQav8qzGxfYKq7rwY+AA4CiszsZuBGdy8Iol9JbBUVlRx56RMMPqEfpx/8MEsL1nL7TaMZN2Vu2KGJhCYpyTjmwN4M6t+JmQsLefz18awq1OLJhhLVkb+51/9svJlNBvZy93IzG06syM+LwOHx9l9s6Rph3PMXEYmStNQU3r37l/Ra8zm5s9+gtMUuLNvzYo7/00t8P2vRli+Q4IrHDws8NR9295d1ylUfXrZ/KF8fVNhHRCSiLjypP3suH0nm6HsASJ/3NR3nfcpDf3qIA3/9WLjBSaOmwj4iIhF15qE9yJz8VPXGlT/SKc9ITtYOmA3BrG6vsAT1X8eFwCFm9gPQm1hhn1nAgzTiwj4iIlGyqrAEslpv0u7J6VRW6s5pQ0gyq9MrLEE96lcAnGdmOcQ29EkB8hv7/v4iIlFyy3Pj6Pfbv9Pytf+DygoASnY7g/fH5RPEei7ZVFQX/AW6t7+7FwKNtoqfbD8z018uIiH7bOwP3PR2a64462NSFo6hokV3xs13Lv37yLBDk0auwQr7SGIY2L87d1x6KM3TyilPzuTRNydx42Ofhh2WSJN1z3Nf8+Ar4+i5U1sWLZvOkhWFYYfUpDTEs/pmNgi4C0gGHnL3mzbzmdOBvxPbUO9bdz+7tmsG9Zx/HnANcBLQJt68BHgFuMndVwXRrwSrV7f2PP6HA2j76smwdgUkJXP5Qddj5x/EDY/qC4BIWEpKy/hu+vyww2iSkgLO/WaWDNwLHAnkA6PN7FV3n1LlMz2I5dwD3H2lmbXd0nWDWvD3HLASGOjurdy9FXBovO35mk4ysyFmNsbMxpQvmxxQaLK9/vzLAbT99OpY4georCD30+s4/9g9wg1MRCQkDbDD3wBgprvPcvd1wAjg5xt95iLgXndfCeDuS7Z00aCSfxd3v9ndN+wy4e6L3P1mYMeaTnL34e7e3937N3RFP9myrjs0h2UzqjdWVpBcVqTHikSkSarro35VB73x15CNuugIzKvyc368raqeQE8z+9zMvorfJqhVUPf855jZVcDj61f4m1k74Dyq/xI1Wjl6WEChyfZKLivC5x2NTaoyeZPZgrYdd2TZV3eHF5iISERVrWZbg81ND2y82joF6AEMBDoBn5rZ7rXdYg9quHYG0Ar42MxWmtkKYBTQEjg9oD4lYBWp2fjRN+C7nwJpzWCHvvjg1ynP2PQ5YxGRpsDq+M9WyAc6V/m5E7Bxrfl84BV3L3P3H4FpxL4M1CiokX9PYgV8/mRmWcDVwPotfisC6lMawLrMdiQfdxfJR63Bk1Ioz2iNGRSXlpGekkxSkqb/RaTpCHrBHzAa6GFmXYH5wJnAxiv5RwJnAY+ZWWtiOXhWbRcN6m/qR4gV8wG4E8gBbgLWAo8G1Kc0kIrUHNZltacsozVFJet447t8Ln9mHHe+P41Va0q27rusiEgCCHrBX7xOzlDgHWAq8Jy7Tzazf5jZifGPvQMsN7MpwEfAle6+vNa4A6rqN9Xde8Xfj6tS2Aczm+DufbZ0jZLyTe5pSCNTWVnJo5/P4tZ3pm1o69a6GSOG7E9uVnqIkYmIQEZK8GORkx4aU6dcNfLC/qGMl1TYR7ZbYck6Hv9idrW2WcvWUFC8LpyARERkq6iwj2w3w8jJSN2kPS0lOYRoREQangr7VKHCPk1DXlYafzmuF796fDTr7x4dvVt7mqVr12gRaRpU2GczVNgnsTlG3x1b8uEfBvL5zGX0aJtNtzbZZGekhR2aiEiDaIi9/YPQYEM0M2u1pdWHEj0ZaSl0SEvhtP7NgE13nhCJmvKKCopKyyheV0FmWjI5GakkJ+lWliSWoAr73ATc5u7L4ov9ngMqzSwVONfdPw6iXwmPkr4kgsrKCibMXcFvnhxHUWk5eZmpPHrePvTeoXl053clUFH9zyKoBX/Hufuy+PtbgTPcfWdiVYlur+mkqnscP/xgbbsdiojUv9XFZQx9ZjxFpeUAFBSXcekz4/UEi9RIC/6qSzWzlPjmBJnuPhrA3aebWY0PgFfd41jP+YtIQ1tXUcmqtdWfRp6/qpjyysqQIpLGLqID/8BG/vcCb5rZYcDbZnanmR1sZtcDEwLqU0SkTtJTktixZVa1tt12yCVNVSulBg1Q0jcQgfwX7e73ADcCvyZWd/hwYvv7zwd+FUSfIiJ1lZeZzqPn78MeHfMA6LdTC+7/ZT9yM7VjpSSWwFb7u/soYpX8MLODgAHAbHfXDn8i0jiZ0alFNo+cN4BKryQ5KYmcjDTdg5QaNUBhn0AEMvI3s2+qvL8QuBvIBq4zs6uD6FNEpD44kJOZRl5WBtlK/LIFUZ32D2zBX5X3vwaOcvelZnYb8BWxCn8iIiKRFtVH/YJK/klm1oLYzIK5+1IAd19jZuUB9SkiItKgtMNfdXnAWGJPQbiZtXf3RWaWTXSfjBAREUkIQRX26VLDoUrg5CD6FBERaWhRXfDXoOXX3H0t8GND9ikiIhIUTfuLiIg0MdFM/cE96pdrZv82syfM7OyNjt0XRJ8iIiKydYLas/JRYl+IXgTONLMXq+zpv19NJ6mwj4iIRIkK+1TX3d1Pib8faWbXAh+a2Ym1naTCPiISBSVlZZSsqyAjLZmM1NQtnyAJK6K3/ANL/ulmluTulQDufoOZ5QOfENvpT0QkcgxYUVTMv96YyujZK9inS8kxs3IAACAASURBVEuuPa4XrbIzNVppoqK64C+oaf/XgMOqNrj748AfABXGFpFIWl1cysVPjeONiQtZUljKGxMXcslT41hdUhp2aBISs7q9whLUc/5XVf3ZzA4kVthnkrv3CKJPEQlOkoG745Fd21w/1pVXMmHeqmptE+atorSskpyMkIIS2Q4NUdjnImAYkIMK+4hEigGr1pTwwMcz+NvI75ixuIDidU23MGdykpGXWf0ef25mCilR3elF6iyqC/62mPzNbGh8n/5tUfVPxxDgSHe/HjgKOGcbryUiISlYW8ov7vuc29+dzrNj8jnhns+YPL+gyY7/czJSufmUPTYk++Qk4+Zf7ElOhhb9NVWJPO3fHhhtZuOAR4B33H1La1tU2KeJM9ACqIgzYMaSQhYUlFRrv/vDGdx/Ti7NMtLCCSxEycnJ7N+9DZ9cdSiLV5fQLjeDZumpJCcnhx2ahCSqC/62mPzd/S9m9ldio/bzgWFm9hzwsLv/UMNpdS7s02KfoVv1C0jjcvqRe/Cviw4kdcUMyN2Bz6at5oIbX2ddmb7zRU3n9i247R8XbNKenGQ88uKn/O3Ol0OIqnFISjJym2Wwek0JlZX6mttYFY8fFngfQa2aD9pWxR0f6S+Kv8qBFsALZnZLDZ/v4u7d3L1r/H8XxQ+psE8C22uXTtw+uBednz2M9m8Npv2zR3Jc5SsM++OgsEOT7TBv0UpyU5yurZttaEsyOG+fjjz/5je1nJn4KiudVYXFSvwSWVsc+ZvZZcBgYBnwEHClu5eZWRIwA7iqtvOrUmGfxPbHM/am9RfXQflP08SZ3/2PI8+5iJSUJMrLK0OMTrbHJX97nMduuYix8wtZuqaMI3ZpxfOvfsHE6fPDDk2kUUjYaX+gNfALd59TtdHdK83s+GDCkihq1zILZi3c9EBpIempKZSXa4uHqPkxfxmH/vImDui7My3zshh+50yWr1oTdlgijUZUH/TY4rS/u/9t48Rf5djUzbWbWTcze8TM/mVm2Wb2oJlNMrPnzaxL3UKWxurlz2ZTvOsp1RubtWFlZTPWFCvxR1VlpfPp2Bm88uG3SvwiG0myur1Cizug6z4GjAaKgK+A74FjgLeJPTGwWVUL+5QvmxxQaBKUR14dw9R2p1C0/1XQthcVPY9n0Ukv8pvb3gs7NBERqcK2/NTedlzUbLy7942/n+vuO27uWG0y+w7VSpoISk1J5rQj9+L4fTsza1Eh9780jvlLVm35REkYXTu15tJT9qZT6yxe+mwOL3zwrdZ7SCiKxw8LfGz9h9em1SlX3X7CLqGM/4Mq7FNpZj2JPfKXZWb93X2Mme0M6IHYBFZWXsHTb43j6bfGhR2KhOCIfXvw8BUH0PrrG0maPY+Bh53Cr39+Lkde9j99AZCEFNV7/kEl/6uIFfepBE4CrjGzPYl9GRgSUJ8iErK7f3c4bV86BkpXA5Cz7N/s/jM49fC9GPHO+JCjE6l/EV3sH8w9f3f/wN13cfde7v6Zu58CTAPau/vIIPoUkXC1b51L5pp5GxL/etnTnufUg7qEE5RIwKK6t38gI38ze3UzzQOBkWaGu58YRL8iEp7CNSV4VutND+R1Yv6K4oYPSERqFNS0f2dgMrFNgZzYlr77ALcH1J+IhGxN8Tq+mlnIsbueSvr3L8Qa07JZMuBa7v7TW+EGJxKQhN7edzv0I7a3/7VAgbuPAord/WN3/zigPkUkZBfc+BpvZZ/DojPeY9HxTzPnlPf49T1f8cPcpWGHJnXUqnkzMtJVvXBjiVzVb5u5eyVwh5k9H//fxUH1JSKNR3FJGWf99SWys9LJy85kwdK3CeJxYmk4B/btyv1/PIrsdUsgswWfTV3BRTe9QUlpWdihNQph3revi0ATsrvnA6eZ2XHA6i19XkQSQ9HaUorWloYdhtTRjh1a8OTVh9Hu5ROgeCUAJ/Q+nUf/chZn/fWlkKNrHCKa+xvmdoW7v+Huf26IvkREpH5ccnI/Wo++eUPiB0if8hz7dc8mNzsjxMikrhr9VPwZR+/F70/bm+zMNEZNmMd1D33CspVFYYclIpLwdmrbjOT5szdpt8KFNM/JZHVRyaYnNTFR3eSnwRYqmtn0bT3nz+cdxF0/z2DP90+h2/MHMbjyMUbd+39kZaQFEaKIiFTxypdzKdz5pOqNqVmUNu/BvEXathui+5x/IMnfzArNbHX8VWhmhUD39e21nLehsI8VfM+Fx/Qi791LY1NO7iTPfIcdZjzOucdtsTSAiIjU0QsffMvU3CNYs98foUUX2OlnLD35Ra68b5QWcsZFdbV/kFX9RgI93D3H3XOAufH3uTWd5O7D3b2/u/fvtsdBJC2fBhv9B5Y5/zN+1rttQGGLiMh65eWVHHHpE/z+80681/tunsi6jKP/+iGvfjwl7NCkjoJ61O9SM+sHPGNmI4FhxDb72WoLlxRQ2arHJu2l7foxfuaK+glURERqVVZewf9eH8v/Xh8bdiiNku75b8TdxwJHxH/8GNimpaFrS9bx4qezKTz4ekiJn9qxH4t3v5hHXlPFOBERCZ/V8Z+wBP2cfyVwd3yzn0nbev6Vw94n/8z9uejk90hLhu9+XMEVlz9DQZH2CRcRkfBFdeTfkIV90te3b0thn7tGfMldI76st9hERETqi5J/dZ2AKaiwj4iISKMT1D3//qiwj4iIJDgzq9MrLCrsIyIisp007b8ZKuwjIiKJLKqFfRpkNO7ubwBvNERfIiIiDSWqJX0bbG9/ERER2XZmNsjMppnZTDO7upbPnWpmbmb9t3TNoB71SwEuAE4GdiC24n8B8ArwsLuXBdGviIhIQwr6nr+ZJQP3AkcC+cBoM3vV3ads9Lkc4DLg6625blAj/yeAPsDfgWOB44Drgb2AJ2s6qWphn/JlkwMKTUREpH40QGGfAcBMd5/l7uuAEcDPN/O5fwK3AFtVZzmoe/57u/suG7XlA1/VVtrX3YcDwwEy+w5VySiRBNQ8J5Mzjh1A+3Yt+OTrqYz6ZroqxElkJQW/RW9HYF6Vn/OBfat+wMz6Ap3d/XUz++PWXDSo5L/SzE4DXow/9oeZJQGnASu36gKjhwUUmoiExYBlhcXcO2omE5YW8auLTuaJ29rSLCMt7NBEQmFmQ4AhVZqGxwfCGz6ymdM2fFuO59Y7gPO2pd+gkv+ZwM3AfWa2kljwecBH8WMi0gStWlvCqf/9goUFsZnJr2at4M/H9uKX+3UhKUnrjyV66rrYv+qMdw3ygc5Vfu5EbA3dejnA7sCo+KZB7YFXzexEdx9T00UD+dPm7rPd/Qx3bwPsH3+9G2/7MYg+RaTxW1JYuiHxr/fEV7NZXbIupIhE6ibJ6vbaCqOBHmbW1czSiA2gN9TPcfcCd2/t7l3cvQvwFVBr4oeGLexz2PYU9hGRxJGVlrxJW/PMNJIj+qy0SNDP+bt7uZkNBd4BkoFH3H2ymf0DGOPum8u3W6TCPiLSYPIy0ziqdzvenbIYgJQk46/H9yY3Mx0t+ZMoaojvre7+JvDmRm1/q+GzA7fmmhbEKtv4AoTLiT3md6W7TzCzWe7ebWuvUVKuvwtEElFhcSlzV6xh9vK1DOjSkrysNNJSVPpD6l9GSvBL8R/8ek6dctVF++4UyrSXCvuISIPKyUxnt47p7N6xpb7hS+RFdXtfFfYRkVAo8UsiiGjuV2EfERGR7RXVB1SjGreIiIhsp0CSv5kNNbPW8fc7m9knZrbKzL42sz2C6FNERKShmVmdXmEJauR/sbsvi7+/C7jD3ZsDfwL+W9NJVQv7PPxgbRseiYiIhM/q+ApLUPf8q163rbu/DODuo+JlBzer6jaHetRPREQau6iu9g9q5P+CmT1mZt2Al83sd2a2o5mdD8wNqE8REZEGpZF/Fe5+rZmdBzwDdAfSiVUtGgmcE0SfIiIisnWCfNRvCjDU3Ueb2W7AIGCquxcE2KeIbIX1Iw7dWxOpm4jO+gdW2Oc64BggxczeAwYAHwNXm1lfd78hiH5FZMtWF5cyfVEhK9euo3+XFuRlpqucrsh2CnPFfl0ENfI/FehDbLp/EdDJ3Veb2a3A14CSv0gIVheXcv6j3zB5QWzDzWZpybx+2UF0aN4s5MhEoimqX5uDirvc3SvcfS3wg7uvBnD3YqAyoD5FpBYGTFu0ekPiB1izroI7359OWXlFeIGJRJie869unZllxd/3W99oZnko+YuEZsWass20raO8Qn8sRZqSoJL/wfFR//oKf+ulAoMD6lNEauHAPl1akJWWXK39Vwd0JSs9NZygRCJOj/pV4e6lNbQvA5Zt7piIBC8vK53XLz2IO9+fzvI1pVx4YDf26txCq/5FtpMW/IlIo5eclMQOLZrxr5P3oKLSyUpLVeIXqQMt+KvCzJLN7Ndm9k8zO2CjY38Jok8R2XppKSlkKvGLNFlBfWl5ADgEWA7cbWb/qXLsFzWdpMI+IiISJVFd7R/UtP8Ad98TwMyGAfeZ2UvAWdSyxkGFfUREJEqiecc/uJF/2vo37l7u7kOAb4EPgeyA+hQREWlQZnV7hSWo5D/GzAZVbXD364FHgS4B9SkiItKgkrA6vcKLOwDu/ktghZntA2Bmvc3s98ACd9cDxSIiIiFqqMI++wKjUGEfERFJIBF9zF+FfURERLaXRXTJX1DJv9zdK4C1ZlatsI+ZaRNxERFJCBr5V7fOzLLi+/ursE8TZkBK8VKSyovx5FTK05tTmZwZdlgiIvUizEV7dRFU8j94/f7+21vYp8U+Q4OISxpQ+9a5fH7fOezw/hBYPAlLy2btITfwn6/SufXJz8MOT0QSXPH4YWGH0GgFtdq/xsI+7j4xiD6l8bn89AG0G30DLJ4Ua1hXRPP3r+DXJ+5JcnJUd8QWEfmJnvMX2UjfnVuRvHBc9UavJKloIbnNMsIJSkSkHin5V2Fm/c3sIzN70sw6m9l7ZlZgZqPNrG8QfUrj89XUJZR1PqB6Y3IqFdkdKCgqDicoEZF6ZHX8JyxBjfzvA24B3gC+AB5w9zzg6vixzapa2Kd82eSAQpOGcs/z37Cwzx+gy0GxhmZtWHnMg9z6zGgqK1W6QUQkLOZe/38Jm9l4d+8bfz/X3Xfc3LHaZPYdquyQADq2bc6/hhzMgF7tWVVUyr+fGs3rn0yp1z46tMlj4ICeFBQW894XUykrr6jX64tINBWPHxb40PqD75fVKVcdvmvrUIb/Qa32LzGzo4A8wM3sJHcfaWaHAPqbuQmZv2QV5//r1cCuf83gA/nNUV1oOfNZijPasWrobzjpmpeY8sPCwPoUEVlPm/xU9xti0/6VwNHAxWb2GDAfuCigPqWJ2aNnRy45tDWtnx8E7uQAOZOfYMT1I9jzlw+EHZ6INAFR3eQnqEf9vgV+B9wG5Lv75e7e3N13A3KD6FOanvMG7Ubrb++BqreuCvLJXfMD3XdsE15gIrKJDm3yyMtOvA2+orrgL6jCPpcBlwDfAw+b2eXu/kr88I3A20H0K01LpTvY5r6/GkGsZRGRbTdgj514+OpBZBfPh4w8Ji+u5JzrRuqJn5AFtdr/IqC/u58EDAT+amaXx49FdJJEGptH35zEsj6XVv8C0HwnVmZ2Zda8ZeEFJiIAtG6RzbN/HcTOb5xE+9fOoP3zgzhk7i28cOMpYYdWb5Ksbq+wBHXPP9ndiwDcfbaZDQReMLOdUPKXejLlh4Xc8fZCLjvjPZrPfJGSzPas6nwkZ/zpxbBDExFg8HF9aPXtMFjz05fxlNmj2LnPpXRq15z8xatCjK5+aMFfdYvMrI+7TwBw9yIzOx54BNgjoD4bpUP6deefFx5A69w05ixew5X3f8ykGQvCDith/OfpL/nfWxM5pH8PVhUWM2r0f6moUO0okcagc+ssUgvnbdKevDqfVs2zEyP5RzP3Bzbtfy6wqGqDu5e7+7nAwQH12egctf8uPPW7vuzzxWC6PncIAyf/jtf/dQy7dmsfdmgJZdnKIl58bzwffPW9Er9II/Ly5z+yssdp1RuT0yjrsE/CPI5rdXyFJajV/vnuvqiGY02mnNuNFx1IqzfPh9Xxkf6y6bT78DL+deEBtZ8oIpIAPh49g2+Ke7B64L+hbS/ociBLf/ESf33kC23GFbKgpv03YWZt3X1JQ/XXGDTPcFi7onrjou/Y5aBW4QQkItLATv7Tsxx3cG/OOeyfrChcx7C/fczUWZsdG0ZSUkTn/YN61K/lxk3AN/GiPubuKzZzWsIpKDU6ZraA4pU/NbbbnRnzmsSvLyKCu/P6x5N5/ePErNcSzdQf3D3/ZcDYKq8xQEdgXPz9ZiVaYZ+/PvQ5y499GLLbxRpadmPJ4Xfzl4eazJ0PEZHEFtGb/kFN+18FHAFc6e4TAczsR3fvWttJ7j4cGA6JUdjnzc+/Z3B5Bf/81VO0zE5l3rK1/PFv7ybMQhcREYmmQJK/u99mZiOAO8xsHnAdEPlkvj0++HoGH3w9I+wwREQkAHrOfyPung+cZmYnAO8BWUH1JSIiEoaIrvcLLvmb2a7E7vN/BLwPdI+3D3J37e0vIiKRF9HcH8yCv3hhn1eAS4FJwFHuPil++MYg+hQREWlwWvBXzUVAv/i2vl2I7evfxd3vIrpflERERBKCCvuIiIhsp6gu+AvqOf9FZtZn/Q/xLwLHA63ZysI+E58cwn9+dzTNczIDClFERKRuzOr2CkujLeyz8wuHMCTtOT6+fzAZ6alBxCgiIlInEb3l34gL+3glydNepePsEZx59F71Gp+IiEi9iGj2D2rkX2+a5X/CQbu1CzuMwGRlpHHRLwbw36uO4dzj+5Ge1mC1lkREJALMbJCZTTOzmWZ29WaO/97MppjZd2b2QXx9Xa2CetQvz8xuMrPvzWx5/DU13tZ8W65V0m5vJsxKzEI4HdrkMfaxC7l5r0kMLrqN/+z/I988ciEtcrUfkohIFFgd/9ni9c2SgXuBY4DewFlm1nujj40H+rv7nsALwC1bum5QI//ngJXAQHdv5e6tgEPjbc/XdFLVwj7Dx66DjnuzpPcQHnt9fEBhhuuOyw6ny+e/J3PcAzB/HM2+uYvu3/6bv1+4VcsiREQkZA2w4G8AMNPdZ7n7OmAE8POqH3D3j9x9bfzHr4BOW7poUHPMXdz95qoN8TUAN5vZr2o6qWphn/xp3/rbs1dx2eXPULimJKAww7X3zq1hzJfV2pJnvMHhp/0ppIhERGRbNMBt+47AvCo/5wP71vL5C4C3tnTRoJL/HDO7Cnjc3RcDmFk74Dyq/xI1at19LwZ2h+8OPySgEMOXtnYhpKRDeelPjem5dO3UlpWjh4UXmIiINAgzGwIMqdI0PD4Q3vCRzZy22UJ5ZvZLoD+wxcQZ1LT/GUAr4GMzW2lmK4BRQEvg9ID6jJyKtFx84LXV2vyoGyjPaBlSRCIisk3quNrf3Ye7e/8qr+Eb9ZAPdK7ycydgwSZhmB0BXAuc6O6lGx/f5PPuwVTajRf26QR8tX63v3j7VhX2KSlvGiWAU0pXkrR2KbZ4EnToQ3lmayrScsMOS0Qk8jJSgp+V/25eUZ1y1Z6ds2uN0cxSgOnA4cB8YDRwtrtPrvKZvsQW+g1y962qIR9I8o8X9vktMBXoA1zu7q/Ej41z9723dI2mkvzXM2qYxxERke3SEMl/Yn7dkv8enWpP/gBmdixwJ5AMPOLuN5jZP4Ax7v6qmb1PbPfchfFT5rr7ibVeM6DkPxHYv2phH+AJd7/LzMa7e98tXaOpJX8REalfDZH8J9Ux+e++Fck/CCrsIyIi0sQ02sI+IiIijV5Et/cNauR/LlBetcHdy4FzzeyBgPoUERFpUFEt6RtI8nf3/FqObV1hHxERkUYuzLK8daEqMiKyifKKCsorKslMS9XKW5FaRDT3N1zyN7NW7r68ofoTkW3n7iwtLOaeD2awpLCUwT/rQp/OzclKTws7NBGpR0FV9bvJzFrH3/c3s1nA12Y2x8xq3HawamGfhx/ceJMjEQlaQXEpx9/zKc+Pzefj6Uv51WOjGT17RWRHNyKB04K/ao5z9/U1h28FznD30WbWE3ia2N7Dm6ha2EfP+Ys0LAMm5hewurjaWl0e/uxH+u/UkmYZGv1HSXlZGYsX5lNaWpLYO4gZpKdn0K5DJ1JSU0PoPppfjYNK/qlmlhJf4Z/p7qMB3H26maUH1KeI1IEDeZmb/uWZl5lCcnI0/4JryhYvzCc3N4eWLbtgUV2VthXcnRXLl7N4YT4dd+za4P1H9V9tUM/53wu8aWaHAW+b2Z1mdrCZXQ9MCKhPEamjLq2bsXvHn2pLpKck8cejdiUzhBGV1E1paQktW7ZK6MQPYGa0bNUqNsMhWy2oR/3uiW/xezHQM95PT2Ak8M8g+hSRusvNTOeR8wbw/cLVLCksZf/urWiemZbQs8YJy0n4xL+emYV2ayOq/4aDGvnj7qPc/Qx37+vue7j7sfF7+v8XVJ8iUne5mens260NJ+zViVbZmSQnJ4cdkkRUbk52rcdnz57Nnnvsvk3XPP/883jhhRfqElb9iuiCv8CSfy2uD6FPEdkGTmKvEROpL1bHf8IS1KN+39Xwmgi0C6JPERFpnIqKijjyiMPp329v9tpzD1555ZUNx8rLyznvvMH02WtPTjvtVNauXQvA2LFjOXTgIezTvx+DBh3NwoULa7p8qMzq9gpLUCP/dsT29z9hMy9t9CO1Wldezqq1JaxeWxrZ+2ki8pOMjAxefOllxowdxwcffsSVf/wD68vJT5s2jYsuGsKEb78jNyeX+++7j7KyMi6/7FKee/4FRo8Zy/nn/4q/XHttyL9FYgnqUb/XgWx332Rlv5mNCqhPSQCFxaXc/cF0Ro5fQPu8DG48eQ927ZBHaoruO4tElbtz7Z//zKeffkJSUhLz589n8eLFAHTu3JkDDjgAgHN++Uvuuedujh40iEmTJnH0UUcCUFFRQfsOHUKLvzZRHaAEtdr/glqOnR1EnxJ9FZWV/O/L2Tzx1VwACpcUcc5DXzPqyoG0zM4MNzgR2W5PPfUUS5ctZfSYsaSmptKtaxdKSmKP5m38RIKZ4e7stttufP7FlyFEu40imv3DWPAnsllFJWW8NWlRtbZ1FZXMXFIUUkQiUh9WFxTQtk1bUlNT+eijj5gzZ86GY3PnzuXLL2NJfsQzz3DgAQeyyy67sHTp0g3tZWVlTJ48OZTYt0QL/kTqKD01iZ7tNn00qGMLjfpFouzsc85h7NgxDNinP08/9RS77rrrhmO9evXif48/Tp+99mTFyhX85uKLSUtL47nnX+Caq/9E3z57sXffPnzxxRch/gaJx9YvuqjXi5rlAtcAnYC33P3pKsfuc/dLajhvCDAEYNh9D/S74KIh9R6bNG5LV6/ljAe+ZEFBCWbw64O7cdFB3bWvvMg2mjV9Krv26hV2GA3m+6lT6daz+u+bkRL80PrHZSV1SqJdW2eEMvwPasHfo8AM4EXgV2Z2CnC2u5cC+9V0kgr71MxoGs9dt8nJ5OXfHkBRSTmZaclkpKaQla6tZUWkcYroLf/Akn93dz8l/n6kmV0LfGhmJwbUX8JaW1rGijWlTJxfwB4d82jZLD2xk6EZeVkZ5GWFHYiIyFaIaPYPKvmnm1mSu1cCuPsNZpYPfALUvt+jbFBWXsErE/K5/rUpG9quO6E3p/brTGpKUP/XiYjI1opqSd+gFvy9BhxWtcHdHwf+AKwLqM+Es6a0jFvenlat7dZ3prGmtLyGM0RERLYsqOf8r6qh/W0zuzGIPhNRpTvFZRXV2tauq6AygEWaIiKy7aJaOFGFfRqx9JRkDunZulrbobu0IT1Vu92JiDQGES3qp8I+jVmzjDRuO60Pvz20O3vv2Jyhh+7MLafuRbN0PfYmIo3f22+/Ta9dd6Fnj525+aabNjleWlrKmWeeQc8eO7P/fvsye/bshg+yjqJa2CeoVWPtgKOBlRu1G6CdGrZBTmY6vz20J+cfUE5WWgpJSdqXSUQav4qKCi4d+lveefc9OnXqxL4D9uGEE0+kd+/eGz7zyMMP06J5C6bPmMmIESO4+uo/MWLEsyFGvT2iOe/faAv7tNhnaH3HJCLSZIy8/SyKmbvVn/9k1kqeGr+Y5WvKaNUslXP6tuPgbi22u//vJoylbftOFJSmUPDDIg46bBD/fehxzr/otxs+8+TTzzLkt79j/NS5dN9tAO9ecgnjpszZZL//rbFs0Qr6nVM9bxSPH7bd8Se6QIaR7n6Bu39WwzEV9hERaUQ+mbWS/345n2VrynBg2Zoy/vvlfD6ZtfHk7dZbsngR7apU4mvbrgNLFlev3bFkySLatd8BgJSUFLJzcihYtf19hiGq0/5B3fNPM7NzzeyI+M9nm9kwM/utmSXwDjUiItHz1PjFlFZUf4qotMJ5avzieu1nkxH95p5citjy+agu+Atye98UIMvMBhPb2Ocl4HBgADA4oH5FRGQbLV9Ttk3tW6Ntu/YsXrhww89LFi+kTdt2G32mA4sXLaBd+w6Ul5dTVFhIXl7z7e4zDBH7rrJBUKvH9nD3M4CTgaOAU939CeB8oG9NJ5nZEDMbY2Zjypc1zvKNIiKJplWzzU/I1tS+NXrvvhfz5v7I/Py5lK1bx7tvvsbBhx5Z7TMHH3oEr7/yIgAfvPsm++z7s+263y/bLqjkn2RmaUAOkAXkxdvTgRr/a3L34e7e3937p7TeLaDQRESkqnP6tiM9uXrSTU82zum7/U9mp6SkcOW1/+DSIedy6omHc8Sg4+i+c0/+e8/tfPzhewD8/JQzKFi1kpMGHcxTjz/E0CuurtPvEQar4z9hCWra/2HgeyAZuBZ43sxmEavoNyKgPkVEZDusX9Vfn6v9AQ78//bOPMyK4urD72FYhmFgZMjIoEQEl2gMkiCICwJxASIuJNEYMVGzGZOIfCYxxmgC8qmoMVE/twRFjBhcMDEiuKICURAHPMWsggAAE85JREFUZJdFAVGRAZRFFBQGzvdH1eilqTszl5m+C/e8z1PPrVv9667TfW7fqq6updeJ9Oy1y0zvXDz4N5/HmzUr5MZb7q5XHhknRxsq4pre9xYRecTH3xeRB4CTgXtU9bU48jQMwzD2nF6dWte7sM9HcrTsj+3JH1V9PyG+EXgsrrwMwzAMIxPkahcFmy7OMAzDMPIMWxTeMAzDMPaQTHbaqw9W+BuGYRjGnpKbZb8V/g1N2zYtGXx2d47o0JrJ8yoZ9cRMPt7yWabNMgzDMGIgR8t+e+ffkBzWqZxpd5/HkFaP03/JZQw7dAbT7/kxpSUtMm2aYRhG2rnm6t9yygld+d6ZpwS3qyp/vn4oA/v34vvf7sfiN+an2cL6Y3P7G9x12cns98wFNF4yHjasoHDOaDrOu5Erzz8u06YZhmGkndMHns3tf/9H0u2v/Pcl3l25gsefnsJVw0YwYvjVabQuv0lb4e/H+u/VdCgrhA/f2iWtYMmTnNK9Y4YsMgzDqButV07kaxP60vXRI/nahL60Xjmx3sfs2q0HrWqYq3/Ki89z6hnfRUTo3KUrmzd/xAfrGnYxobixGf4SEJHx0STgmyKyD4CqnhFHvplmuzaGgiawI2ExjFb78eGmTzJnlGEYRi20XjmRDjOHUbDjUwCabVlNh5nDANjQYUBs+a5bW0m5X9IXoG3bctauWcOXyvZ8WuF0Y+P8d6U98BHwV+AvPmxOiAfJ9YV97n96IZuP+8MXCQVNWN/nJq57sCJzRhmGYdTC/vNv+7zgr6Zgx6fsP/+2WPPVwJK+trBPeoir8O8GzMLN679JVScDW1V1iqpOSbZTri/sc+OYlxm9ohOrz/svlaeNZdW5Uxn6xFpenLE006YZOUZJcXNatyrKtBlGntB0S2VK6Q3Fvm3bUVn5+WSwrFlTSdm++8aap+GIa27/ncAtIjLOf66JK69sQlW54s5J/OmexpSWtGDt+mfZsWNnps0ycoh2ZSWMHXYmB7baDrqDNduKOW/4kyx7Z12mTTP2YrYVldNsy+pgepz0/ubJPDr2H/Q79QwWzJtNcXHLnGryh9xt9o+1QFbV94CzRWQA7jVAXvDZtipWr9uUaTOMHOSpv5zDYdMGw+o5AJS3OYiJf36Qzuf9ne1VOzJsnbG3sqrzkF3e+QPsKChkVech9TruH347mFkV09m4cQOnntiDi351GVVVVQCcdc4POL7Xibwy9SUGfqsXhYXNGXrtzfXKLxPYDH81oKoTgfp3HTWMvZgeR3akbOOszwt+AD5cRunb4+nX86tMmJx7Y6CN3KC6U9/+82+j6ZZKthWVs6rzkHp39rv+5ttr3C4iXPHHa+uVR6axJ3/DMOpFWWkxzTe/vVt6y4+X065N7/QbZOQVGzoMiLVn/95Kjpb9NsmPYWQLM+auYHPHAbs9SqzrdBYvVSzLkFWGYeyNWOFvGFnCug0fc9+kt1l/+gPQ7uvQ9gg29L2DCYuqeOudtZk2zzCMEFLPkCGs2d8wsojh903l+Vmd+OWZV9GkcSPuGbOIF16dkWmzjBpo0bwp5w/oyrGHlzHzzQ8Y/eRsNn/yae07xszOnQqquftSOhVU3flmAOvwZxhGgzB97nKmz12eaTOMOlDWupjJd/2Qdkvvp/mqaZz+le78YuBFnDT4n7yf4RE/y1atp7RNGxo3Ldq7KwCqVG3bwrJV6zOSfa5eWiv8DcMw9pDrL+7DgRV/pNGyFwAoXLOAA9cv5uZLLmfQ0Mczatt1o6Zy1U/goP1LadQoR0uoOrBzp7Js1XquGzU1I/nn6pWNrfAXkcOAM4H9AQXeB8ar6qK48jQMw0gnx3fej0aPvLBr4jvTOeq4sswYlMDGzZ9y+a3PZdqMWCgqbMoJ3Q7ms21VvPz6W1RV7d2TqYlIf+A2oAC4V1VviGxvBjwAHAV8CJyjqm/XdMxYOvyJyBXAw7hK0WtAhY8/JCK/jyNPwzCMdLPlsyooLNk1sUkRn1Vl5v1zPjCwzxEsGPNjxpy+mYe+J7wx9mK+cXj7zBkUc4c/ESkA7gS+BXwVOFdEvhqR/QTYoKoHA7cAN9Z63NDCCvVFRJYCR6jq9kh6U2Chqh6SZL+LgIsAGrfvc1Quzu9vGEb+cP5pXbmpn1Iy6defp23ucx3XTCvhznHWUbOhabNPC2aNHETbR/vB9q0usXhf3j1zPIefe/du06lvnX1H7K3yW7dTr0K0eZOaqwAiciwwTFX7+e9XAqjqiATNs14zXUQaA5VAmdZQwMc11G8nsF8gvZ3fFiTXF/YxDCO/eGDC6/xtbitWD5rKmr4jWT1oCqPfam8Ff0x856TOlC4c9UXBD/DxWlq8N5ljunTMiE0i9Qt1YH/g3YTv7/m0oEZVq4BNQJsaj6qqDR6A/sBbwNPASB+e8Wn9UzzWRabPLZtMb/p81mejTabP3oBr7Z6ZEC6KbD8b956/+vsPgdsjmoVA+4Tvy4A2NeYb4wk1Ao4Bvguc5eMFe3CcmabPLZtMb/p81mejTabP3QAcCzyb8P1K4MqI5lngWB9vDHyAf62fLMTW21/dsr6vxnV8wzAMw8gDKoBDRKQjsAr4PjAoohkPXABMxz1sv6i+JpAMG+dvGIZhGFmKqlaJyCW4p/sC4D5VXSgiw3EtHOOBUcAYEXkLWI+rINRILhT+I02f8TxMb3rTZ1cepm9YfVajqk8BT0XS/pQQ/xTXN6DOxDLUzzAMwzCM7MVW9TMMwzCMPMMKf8MwDMPIM6zwNwzDMIw8I+s6/KW6IJCIHA2oqlb4+Y77A4t9B4motgewSFU/EpHmwO+BrsAbwPWqutsanCJyEPBt4MtAFfAm8FBIuzciIvuq6tpM22HER677WETaqOqHmbbDiA/zccOTVU/+qS4IJCJDgf8D7haREcAdQDHwexG5KpDFfcAWH78NKMEtgLAFGB04/qXA34BCoDvQHFcJmC4iffb4RLMAEXk6kFYaCW2A10SktYiUBvSvi8jVvoJUlzwbi8jPReQZEZknInNF5GkRuVhEmiTZp0hEficil4tIoYhcKCLjReQmESkO6C8RkS/5+MEiMlVENorIDBHpHNA3EpEfi8hEb88sEXk45F8RKfD2/6+IHB/ZdnVAf2RCvIm/VuNF5HoRKQroO4nIfSJyrYgUi8g9IrJARMaJyIHBi1oDGfJxiYjcICKLReRDHxb5tH0C+nIRuVtE7hSRNiIyTETmi8ijItIuoL8hwb/dRGQ5MENEVopI74C+WESGi8hCEdkkIutE5FURuTCJ/a1EZISIjBGRQZFtdwX0/SPnPsr/tseKSNuAvpuIvCQiD4rIl0XkeW9XhYh8I3xVw4hInXq0i1trJdm2f4vID0L3UhJ9rP71+8TqY8OT6dmLIrMULQWaBNKbAm8G0ufjxj0WAR8BrXx6c2BeQL8oIf56ZNucZMf38SJgso8fAMxOcg6tgBHAGGBQZNtdAX3/hHgJbrzmPGAs0Dag7wa8BDyIq4g8j5vHuQL4RkTbNUk4ClgdOPZOYEUkbPefywP6FcDNwDu4ytplwH41+Pch4G7cbI/tfTjGpz2SZJ9Hgb8AdwEv4Cp4vYA/A2MC+oUJ8YnAt328D/BKQD8aGAb0BG4FhgOnAJOAwRHtvd4v/wPMAv6a7PcUTfPncD/QG7fq1gMB/VTgF7gWqQXAb7yPf4KbtCN0fbLNx88CVwDlCWnlPu35gP4ZYLA/53led4BPeyJ0TybEXwK6+/ihBGZ1A54ALvS/tV8DfwQOAf6Ba+2L6v8F3AAMxE2c8i+gWR19fC9wLdDBX6f/BPSv4VZnOxc3F/tZPv0kYHpAX5oktAHeC+g34/4LP/LxzcCO6vSAfhXwGG5s+KO4Vs6mmfJvOnxswV+3TBsQceJioEMgvQOwJJA+OxT330OF+TjgRz4+GuimX/yoKgL6+Qk3fmtgVsK2BUnOIWv+PPxN/6K/gaJha+DYv/U3a+eEtBU1+CvR9hNwBXSlP/5uc2uHfJiwbWmS9Dn+U/yxJeF7qIK3JCFeEdkW0s+LfH/VfzYjobIY1eJemY0E/u21u1UGI7/POfiKbQ22J+rfSbYth31c2z0cPefQPbwYaJzoq4Rt8wP6uZHvFf6zEe71YPD3lvD9KuAVXGFb2/0b3Tdkf0o+9v5dzq6Vterv2wL623HrurdNSKvJv7P9Z0vcnPFPAetw/4990+3fdPjYgr9OmTYg4rSUFgQCZgBF1Y5OSC9JcqOW4J6+lvl9t/sbaQrQJaAfgqutjvQ/yOqKQxkwNck5ZM2fB+7p8ZAkdr6bJL09rpL0V/+HsNvTYMj2hLQC78fRgW2v4iaiSPRVI+AcYEZt1xM3s1XitrkB/XXex52AP+Ce0g8AfgRMCOhnAQf5eNdEvwJvRLShwmKo92+oZWo57knqu+xekQjZPgtXEe2Om5u7unJ6MIHKQpb6+Dngd+xa+LTFPfFNCujnJsSvjWwLVZAG+zxOxLXY3IprCbqGcEvQNKCnj5/OrnOkhwqrRYm/T592AW7hlJUB/Xu4p83feH9LLfZPB/r6+2AlMNCn9yb8VPsmcECK/j0KVyG8FHd/perfUuBiAq1Ncfu3AXx8Rm0+tuCvTaYNCDiyzgsC4Z+oA+lfIuHJJrC9JdDF3yS7Na1HtEd4Ow6ro/1Z8+fh7f5KEjsH1nIep+MK68oaNA+n6NsDgUeAtbhXPEt9/BGgY5J97gWKA+kHAS8n2edCXOXuA1xz5xvA9UBJQHsirkl7Ke5pqodPLwNuimgfJFwJ/SmwPZB+P+4Jqjq09enlwAsB/UnAEv8b6olrNXrTX6Ogv7LQx61x/WgWAxtwzcmLfFppQD88iX8PBh5Lkkcf/5uZjWudewq3MlroleGRuNayjcDLwKEJ/r00oL8JODmQ3p9wBW9oJJQl+Dj0aqcLrun8aeAwXN+jjbj/h+MC+l8ReDDx2waH0v22RrjC/7/A+zXogg8xdfDvIu/bBvdvxMevJ/j450l83CUVH1twwWb4a2BE5CbgOVWdFEnvj1uG8ZBI+tDIIe5S1XUiUo4rfM6P6Lvg/qB24l4N/AJXuVgF/ExVp0X0h+FGTsxQ1Y8T7VHVZwL2f67HNTkepKoL6qKv4/F74EZxLAMOx1Xu3tDA6IyEfUIjOpYAT2ngBxzRH+H1i5LlISLHAlVahxEjgX0fiPqogfUTgDPULZRVF31P4Gjca6nn6qA/AVdxfK2O+hqP7/27WFU3ievUWD2iZiGBETWS4giciL6ux0+054pajn8p8LiqJq6fXtP1iFvfDNcy9r6qTvKdEI/DFbgjVXV7RN8UN697tf6HuCfmm4F7AvqUju/3OZhdR0AtpYYRULIHI6b8Pt9JIY9Em7bXJY98xwr/NCIiP1LV0enS+z+aX+Fu5K8DQ1T1Cb/tdVXtGtk/Vf1g4JIU9ENx/RUa4zoqHo175XIyrqnuusA5RffpAUxOtk+qeaSiF5HxUfOAb+KaWFHVMyLHjurBtTQ0iN7v85qqHu3jP8P573Fc69CTqnpDLfpfAv9JQV/b8RfinlSrfG/0T3AtGCf59O/Uot+C64BWV31DH3+TP+YyXAfVcaq6Lnrd06j/J+63WYR7si3G9TM5Cff/fUEt+hY4f9VVX9vxLwVOw3VOPRXXl2UDruD9papOro/e7zMEGBBnHgbZ1+y/Nwci7+jj1uOay4p9/EBgJq6AhnDnonTo6zw6Y0/2iVOPa2Z+ENck2dt/rvbx3oFjx6qPXmfciI/qZucWhDtHxa1PdURNtuln45rM++JG3qzD9Tu6AGiZAf08/9kYWMMXo4+SdRqNW5/SCKhU9enKw4Jm3yQ/uY6IzEu2CdcxJp36AvVN8ar6trix64+JSAevjxK3vkpVdwBbRGSZqn7k990qIsmatVPdJ079UbhOoFcBl6vqHBHZqqpTktgetx6gkYi0xhUoov4pUlU/EZGqDOgXJLRAzRWRbqo6U0QOxTXHZrte1b1ieQ54Ttz8E9Wja27GvUdOp76Rb8pvgSvYSnDv2ZsBobkx4taDqyjs8JqW/qTekSRzdeyBPl155DVW+Dc8bYF+uGanRATXKzWd+koR+bqqzgFQ1Y9F5DTcZEe7TXiTBv02ESlS1S24gs4ZLlKC68MQItV9YtP7P+1bRGSc/1xDDfdQ3HpPCW6UgAAqIuWqWilu0pZQBSxu/U+B28RNevQBbkKsd3HDUn+aA/pdzkndO+/xwHhxfRLSrR+F6zxZgKsUjhM36c0xuAnR0q2/F6gQkVdxPfBvBBCRMlylob76dOVhZLrpYW8LuJupZ5JtY9Opxw3pKk+iPT6QFrc+5dEZqe4Ttz6iGUAKk4jErY/sW0SSERTp0JPCiJps0uN7iqdwHWLV+332w0+sBOyDG+FxdAb1qY6ASkmfrjzyPViHP8MwDMPIM7Jqbn/DMAzDMOLHCn/DMAzDyDOs8DcMwzCMPMMKf8MwDMPIM6zwN4wcQkS6i1svvlBEWohbw/xrmbbLMIzcwnr7G0aOISLXAoW4WQjfU9URGTbJMIwcwwp/w8gx/IxsFcCnuJXgdmTYJMMwcgxr9jeM3KMUtwBLS1wLgGEYRkrYk79h5BjiVv97GOgItFPVSzJskmEYOYbN7W8YOYSInI9bjGisiBQA00TkRFV9MdO2GYaRO9iTv2EYhmHkGfbO3zAMwzDyDCv8DcMwDCPPsMLfMAzDMPIMK/wNwzAMI8+wwt8wDMMw8gwr/A3DMAwjz7DC3zAMwzDyDCv8DcMwDCPP+H/tVniXD5+cjAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(9, 6))\n", + "sns.heatmap(periodic_data.T, annot=False, fmt='g', cmap='Blues').invert_yaxis()\n", + "\n", + "df_plot = df_period_train.copy()\n", + "df_plot[\"x\"] = df_plot[\"x\"]*100/2/np.pi\n", + "df_plot[\"y\"] = df_plot[\"y\"]*100/2/np.pi\n", + "sns.scatterplot(data=df_plot, x=\"x\", y=\"y\", hue=\"label\")" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [], + "source": [ + "training_input_pr = {\"A\": df_period_train.query(\"label == 0\").iloc[:,:2].values, \"B\": df_period_train.query(\"label == 0\").iloc[:,:2].values}\n", + "test_input_pr = {\"A\": df_period_test.query(\"label == 0\").iloc[:,:2].values, \"B\": df_period_test.query(\"label == 0\").iloc[:,:2].values}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Gaussian Ver" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.5\n" + ] + }, + { + "data": { + "text/plain": [ + "array([0., 1., 1., 0., 1., 0., 0., 1., 1., 0., 0., 0., 0., 0., 1., 1., 0.,\n", + " 1., 0., 0.])" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from qiskit.aqua.algorithms import SklearnSVM\n", + "\n", + "result = SklearnSVM(training_input_pr, test_input_pr,df_test.iloc[:,:2].values, gamma=0.7).run()\n", + "\n", + "print(result[\"testing_accuracy\"])\n", + "result[\"predicted_labels\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1.00000000e+000, 7.90721570e-049, 1.90365327e-112, ...,\n", + " 2.98824754e-006, 2.75230052e-057, 6.46988043e-059],\n", + " [7.90721570e-049, 1.00000000e+000, 3.79378158e-014, ...,\n", + " 8.90086274e-022, 1.59833869e-042, 6.52016735e-035],\n", + " [1.90365327e-112, 3.79378158e-014, 1.00000000e+000, ...,\n", + " 2.74255100e-068, 1.69387655e-066, 1.52383267e-054],\n", + " ...,\n", + " [2.98824754e-006, 8.90086274e-022, 2.74255100e-068, ...,\n", + " 1.00000000e+000, 2.27170179e-040, 5.96482563e-039],\n", + " [2.75230052e-057, 1.59833869e-042, 1.69387655e-066, ...,\n", + " 2.27170179e-040, 1.00000000e+000, 2.40361912e-001],\n", + " [6.46988043e-059, 6.52016735e-035, 1.52383267e-054, ...,\n", + " 5.96482563e-039, 2.40361912e-001, 1.00000000e+000]])" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sigma=0.3\n", + "g_kernel_pr = [] \n", + "for i in range(len(df_period_train)):\n", + " g_kernel_pr.append(\n", + " [gaussian_kernel(df_period_train.iloc[i,:2], df_period_train.iloc[ii,:2]) for ii in range(len(df_period_train))]\n", + " )\n", + "g_kernel_pr = np.array(g_kernel_pr) \n", + "g_kernel_pr " + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " pcost dcost gap pres dres\n", + " 0: -1.4693e+01 -4.0899e+01 2e+02 4e+00 3e-16\n", + " 1: -1.0910e+01 -3.1524e+01 2e+01 1e-15 4e-16\n", + " 2: -1.1818e+01 -1.3636e+01 2e+00 2e-16 2e-16\n", + " 3: -1.2141e+01 -1.2299e+01 2e-01 4e-16 3e-16\n", + " 4: -1.2176e+01 -1.2182e+01 5e-03 7e-16 3e-16\n", + " 5: -1.2177e+01 -1.2178e+01 1e-04 7e-16 3e-16\n", + " 6: -1.2177e+01 -1.2177e+01 1e-06 4e-16 3e-16\n", + "Optimal solution found.\n", + "Lagrange Param\n", + "[0.5 0.5 0.1904322 0.29812014 0.5 0.29217291\n", + " 0.33289839 0.5 0.49999988 0.42541212 0.29445723 0.49999973\n", + " 0.42066555 0.5 0.5 0.5 0.5 0.5\n", + " 0.28686363 0.2131368 0.20880268 0.20339695 0.29123546 0.13580011\n", + " 0.27665264 0.5 0.45042461 0.5 0.5 0.29122567\n", + " 0.29251611 0.5 0.5 0.29123412 0.34106211 0.5\n", + " 0.2911617 0.21226341 0.22229713 0.23776869]\n" + ] + }, + { + "data": { + 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" + ], + "text/plain": [ + " x y label pred_g\n", + "40 3.832743 1.884956 0.0 0.056688\n", + "75 4.021239 4.775221 0.0 0.217949\n", + "71 2.450442 5.717699 0.0 0.262947\n", + "70 4.963716 5.654867 0.0 -0.181177\n", + "69 1.445133 3.330088 0.0 0.339345\n", + "66 4.586725 4.963716 0.0 0.250723\n", + "64 2.953097 2.324779 0.0 0.120392\n", + "62 2.827433 6.220353 0.0 0.262760\n", + "61 1.193805 0.879646 0.0 -0.002956\n", + "60 5.466371 4.838053 0.0 0.202125\n", + "78 3.267256 3.581416 0.0 0.181143\n", + "58 4.272566 4.586725 0.0 0.315091\n", + "59 2.638938 2.387610 0.0 0.253913\n", + "45 1.130973 0.753982 0.0 -0.096296\n", + "41 2.701770 3.455752 0.0 0.268205\n", + "50 0.376991 3.267256 0.0 0.310832\n", + "48 5.403539 1.947787 0.0 0.323468\n", + "43 4.461062 2.261947 0.0 0.191895\n", + "46 4.398230 2.010619 0.0 0.219393\n", + "44 4.900885 2.199115 0.0 0.262849\n", + "52 5.152212 5.843362 0.0 -0.028774\n", + "77 5.717699 0.439823 1.0 0.297286\n", + "76 6.220353 0.502655 1.0 0.332872\n", + "74 0.314159 1.507964 1.0 0.454001\n", + "73 3.644247 1.759292 1.0 0.058847\n", + "72 4.775221 2.513274 1.0 0.227358\n", + "42 3.707079 1.445133 1.0 0.100810\n", + "68 5.906194 0.251327 1.0 0.407213\n", + "53 2.890265 4.209734 1.0 0.255890\n", + "65 1.570796 5.466371 1.0 0.456855\n", + "63 1.947787 4.272566 1.0 0.460928\n", + "47 5.529203 3.958407 1.0 0.362610\n", + "49 2.576106 1.382301 1.0 0.304975\n", + "51 0.691150 5.152212 1.0 0.327840\n", + "57 5.969026 5.026548 1.0 0.550510\n", + "56 1.319469 5.215044 1.0 0.412162\n", + "55 0.439823 5.403539 1.0 0.501879\n", + "54 4.209734 2.890265 1.0 0.160478\n", + "67 1.884956 0.125664 1.0 0.228970\n", + "79 1.507964 3.832743 1.0 0.404255" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "C = 0.5 # hyper-parameter of soft-margin SVM\n", + "\n", + "\n", + "# load traing dataset as input\n", + "data = df_period_train.iloc[:,0:2].values\n", + "label = df_period_train[\"label\"].apply(lambda x: x*2-1)\n", + " \n", + "# decide the choice of kernel\n", + "kernel_choice = kernel_dict[\"gaussian\"]\n", + "\n", + "a, b = get_laglange_param(t=label, kernel=g_kernel_pr)\n", + "draw_contour(X=data,t=label, kernel_func=kernel_choice[\"func\"])\n", + "\n", + "test_pred_g = array([f(array(row), a, label, data, b, kernel_choice[\"func\"]) for row in tqdm(df_period_test.iloc[:,:2].values,total=len(df_period_test))])\n", + "\n", + "\n", + "df_period_test[\"pred_g\"] = test_pred_g\n", + "df_period_test.sort_values(\"label\")" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.575" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Accuracy\n", + "df_period_test.apply(lambda x: (x[\"label\"]==1 and x[\"pred_g\"]>0) or (x[\"label\"]==0 and x[\"pred_g\"]<0),axis=1).sum()/len(df_period_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Quantume Ver" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Scratch" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "1191cc8f63c945a48664dc4514417ced", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatProgress(value=0.0, max=40.0), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "q_kernel_pr = []\n", + "for ind, row in tqdm(df_period_train.iterrows(),total=len(df_period_train)):\n", + " q_kernel_pr.append([quantum_kernel(row[:2].values, row_in[:2].values) for ind_in, row_in in df_period_train.iterrows()])\n", + "q_kernel_pr = np.array(q_kernel_pr)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " pcost dcost gap pres dres\n", + " 0: -2.2263e+01 -4.7696e+01 3e+02 5e+00 4e-16\n", + " 1: -1.1932e+01 -3.8638e+01 3e+01 7e-16 5e-16\n", + " 2: -1.3325e+01 -1.5805e+01 2e+00 2e-16 5e-16\n", + " 3: -1.4025e+01 -1.4507e+01 5e-01 1e-16 4e-16\n", + " 4: -1.4205e+01 -1.4307e+01 1e-01 2e-16 4e-16\n", + " 5: -1.4238e+01 -1.4269e+01 3e-02 4e-16 5e-16\n", + " 6: -1.4251e+01 -1.4255e+01 4e-03 2e-16 4e-16\n", + " 7: -1.4253e+01 -1.4253e+01 7e-05 9e-16 4e-16\n", + " 8: -1.4253e+01 -1.4253e+01 7e-07 4e-16 4e-16\n", + "Optimal solution found.\n", + "Lagrange Param\n", + "[4.99999997e-01 4.99999997e-01 4.99998454e-01 3.14306906e-07\n", + " 4.99999995e-01 1.03811481e-07 4.99999961e-01 4.99999997e-01\n", + " 7.87229481e-08 1.05246256e-01 4.68250770e-08 4.99999965e-01\n", + " 2.62786683e-01 4.99999996e-01 4.99999994e-01 4.99999997e-01\n", + " 4.99999996e-01 4.99999997e-01 4.99999802e-01 4.99999885e-01\n", + " 3.29576499e-01 9.06966943e-08 4.99999896e-01 4.59669410e-02\n", + " 2.53552138e-07 4.99999996e-01 4.99999869e-01 4.99999996e-01\n", + " 4.99999996e-01 4.99999978e-01 2.83502923e-01 4.99999995e-01\n", + " 4.99999997e-01 3.10648728e-08 4.99999988e-01 4.99999996e-01\n", + " 4.99998971e-01 4.72927250e-01 4.99999973e-01 4.99995729e-01]\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "624bdd5688374352b9902280ba9dfc66", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatProgress(value=0.0, max=40.0), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n" + ] + }, + { + "data": { + "text/html": [ + "
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642.9530972.3247790.00.1203920.515607
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611.1938050.8796460.0-0.0029560.475110
605.4663714.8380530.00.2021250.230873
783.2672563.5814160.00.1811430.559131
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592.6389382.3876100.00.2539130.312669
451.1309730.7539820.0-0.0962960.393652
412.7017703.4557520.00.2682050.570830
500.3769913.2672560.00.3108320.433780
485.4035391.9477870.00.3234680.159543
434.4610622.2619470.00.1918950.521773
464.3982302.0106190.00.2193930.677626
444.9008852.1991150.00.2628490.566773
525.1522125.8433620.0-0.0287740.351035
775.7176990.4398231.00.2972860.188238
766.2203530.5026551.00.3328720.236305
740.3141591.5079641.00.454001-0.205722
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423.7070791.4451331.00.1008100.072703
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631.9477874.2725661.00.4609280.738552
475.5292033.9584071.00.3626100.490930
492.5761061.3823011.00.3049750.094436
510.6911505.1522121.00.327840-0.093674
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671.8849560.1256641.00.2289700.169784
791.5079643.8327431.00.4042550.390372
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" + ], + "text/plain": [ + " x y label pred_g pred_q\n", + "40 3.832743 1.884956 0.0 0.056688 0.200710\n", + "75 4.021239 4.775221 0.0 0.217949 0.479167\n", + "71 2.450442 5.717699 0.0 0.262947 0.041888\n", + "70 4.963716 5.654867 0.0 -0.181177 0.544535\n", + "69 1.445133 3.330088 0.0 0.339345 -0.288935\n", + "66 4.586725 4.963716 0.0 0.250723 0.349674\n", + "64 2.953097 2.324779 0.0 0.120392 0.515607\n", + "62 2.827433 6.220353 0.0 0.262760 0.423320\n", + "61 1.193805 0.879646 0.0 -0.002956 0.475110\n", + "60 5.466371 4.838053 0.0 0.202125 0.230873\n", + "78 3.267256 3.581416 0.0 0.181143 0.559131\n", + "58 4.272566 4.586725 0.0 0.315091 0.659105\n", + "59 2.638938 2.387610 0.0 0.253913 0.312669\n", + "45 1.130973 0.753982 0.0 -0.096296 0.393652\n", + "41 2.701770 3.455752 0.0 0.268205 0.570830\n", + "50 0.376991 3.267256 0.0 0.310832 0.433780\n", + "48 5.403539 1.947787 0.0 0.323468 0.159543\n", + "43 4.461062 2.261947 0.0 0.191895 0.521773\n", + "46 4.398230 2.010619 0.0 0.219393 0.677626\n", + "44 4.900885 2.199115 0.0 0.262849 0.566773\n", + "52 5.152212 5.843362 0.0 -0.028774 0.351035\n", + "77 5.717699 0.439823 1.0 0.297286 0.188238\n", + "76 6.220353 0.502655 1.0 0.332872 0.236305\n", + "74 0.314159 1.507964 1.0 0.454001 -0.205722\n", + "73 3.644247 1.759292 1.0 0.058847 -0.040136\n", + "72 4.775221 2.513274 1.0 0.227358 0.399238\n", + "42 3.707079 1.445133 1.0 0.100810 0.072703\n", + "68 5.906194 0.251327 1.0 0.407213 0.134418\n", + "53 2.890265 4.209734 1.0 0.255890 0.400927\n", + "65 1.570796 5.466371 1.0 0.456855 0.165890\n", + "63 1.947787 4.272566 1.0 0.460928 0.738552\n", + "47 5.529203 3.958407 1.0 0.362610 0.490930\n", + "49 2.576106 1.382301 1.0 0.304975 0.094436\n", + "51 0.691150 5.152212 1.0 0.327840 -0.093674\n", + "57 5.969026 5.026548 1.0 0.550510 0.360077\n", + "56 1.319469 5.215044 1.0 0.412162 0.181598\n", + "55 0.439823 5.403539 1.0 0.501879 0.589536\n", + "54 4.209734 2.890265 1.0 0.160478 0.069361\n", + "67 1.884956 0.125664 1.0 0.228970 0.169784\n", + "79 1.507964 3.832743 1.0 0.404255 0.390372" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "C = 0.5 # hyper-parameter of soft-margin SVM\n", + "\n", + "# load traing dataset as input\n", + "data = df_period_train.iloc[:,0:2].values\n", + "label = df_period_train[\"label\"].apply(lambda x: x*2-1)\n", + " \n", + "# decide the choice of kernel\n", + "kernel_choice = kernel_dict[\"quantum\"]\n", + "\n", + "a, b = get_laglange_param(t=label, kernel=q_kernel_pr)\n", + "# draw_contour(X=data,t=label, kernel_func=kernel_choice[\"func\"])\n", + "test_pred_q = array([f(array(row), a, label, data, b, kernel_choice[\"func\"]) for row in tqdm(df_period_test.iloc[:,:2].values,total=len(df_period_test))])\n", + "\n", + "\n", + "df_period_test[\"pred_q\"] = test_pred_q\n", + "df_period_test.sort_values(\"label\")" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.425" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Accuracy\n", + "df_period_test.apply(lambda x: (x[\"label\"]==1 and x[\"pred_q\"]>0) or (x[\"label\"]==0 and x[\"pred_q\"]<0),axis=1).sum()/len(df_period_test)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## library 使用" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.5\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/y.n./.pyenv/versions/anaconda3-2020.02/lib/python3.7/site-packages/qiskit/aqua/algorithms/classifiers/qsvm/_qsvm_binary.py:109: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " predicted_labels = binarized_predictions.astype(int)\n" + ] + } + ], + "source": [ + "feature_dim=2\n", + "os.environ['QISKIT_IN_PARALLEL'] = 'TRUE'\n", + "quantum_instance = QuantumInstance(backend, shots=1024, seed_simulator=seed, seed_transpiler=seed)\n", + "feature_map = ZZFeatureMap(feature_dimension=feature_dim, reps=2, entanglement='linear')\n", + "qsvm = QSVM(feature_map, training_input_pr, test_input_pr, lambda2=0.2)\n", + "result = qsvm.run(quantum_instance)\n", + "print(result[\"testing_accuracy\"])\n", + "# qsvm.predict(split_dataset_to_data_and_labels(test_input_pr)[0][0])" + ] + } + ], + "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": "3.7.6" + }, + "toc": { + "base_numbering": 1, + "nav_menu": {}, + "number_sections": true, + "sideBar": true, + "skip_h1_title": false, + "title_cell": "Table of Contents", + "title_sidebar": "Contents", + "toc_cell": false, + "toc_position": { + "height": "calc(100% - 180px)", + "left": "10px", + "top": "150px", + "width": "358.391px" + }, + "toc_section_display": true, + "toc_window_display": true + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/machine_learning/qsvm_middle_size_data_classify.ipynb b/machine_learning/qsvm_middle_size_data_classify.ipynb new file mode 100644 index 0000000..2b70457 --- /dev/null +++ b/machine_learning/qsvm_middle_size_data_classify.ipynb @@ -0,0 +1,5251 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "6g5knG37WL7o", + "outputId": "53898119-d12e-4294-9787-415ff62e350a" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.16.1\n", + "{'qiskit-terra': '0.16.1', 'qiskit-aer': '0.7.2', 'qiskit-ignis': '0.5.1', 'qiskit-ibmq-provider': '0.11.1', 'qiskit-aqua': '0.8.1', 'qiskit': '0.23.2'}\n" + ] + } + ], + "source": [ + "import qiskit\n", + "\n", + "print(qiskit.__version__)\n", + "print(qiskit.__qiskit_version__)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "1-RkBAVOWL7x" + }, + "outputs": [], + "source": [ + "import os\n", + "import subprocess\n", + "import time\n", + "import pickle\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib as mpl\n", + "from matplotlib import pyplot as plt\n", + "from sklearn import preprocessing\n", + "import cvxopt\n", + "from hyperopt import fmin, tpe, hp, STATUS_OK, Trials\n", + "from sklearn.model_selection import train_test_split, KFold\n", + "from pylab import linspace, scatter, meshgrid, contour, array\n", + "from scipy.linalg import norm\n", + "import functools\n", + "\n", + "\n", + "\n", + "\n", + "from tqdm.notebook import tqdm #　jupyter用\n", + "# from tqdm import tqdm # jupyter以外用\n", + "\n", + "from qiskit import BasicAer\n", + "from qiskit.circuit.library import ZZFeatureMap\n", + "from qiskit.ml.datasets import ad_hoc_data, breast_cancer\n", + "from qiskit.aqua import aqua_globals, QuantumInstance\n", + "from qiskit.aqua.utils import split_dataset_to_data_and_labels, map_label_to_class_name\n", + "from qiskit.aqua.algorithms import SklearnSVM\n", + "from qiskit.aqua.algorithms import QSVM" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_9asAdTwWL71" + }, + "source": [ + "# prepare mesh for prediction" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "Y6hHbJfPWL72" + }, + "outputs": [], + "source": [ + "feature_dim = 2 # 特徴量の数\n", + "training_dataset_size = 100\n", + "testing_dataset_size = 50\n", + "\n", + "# 予測データの設定\n", + "size = 50 # 50x50のメッシュを分類によって色分けし、擬似的に境界面を可視化する\n", + "# mesh_list = np.array([[2*i/size-1, 2*j/size-1] for i in range(size+1) for j in range(size+1)])*np.pi\n", + "mesh_list = np.array([[2*i/size, 2*j/size] for i in range(size+1) for j in range(size+1)])*np.pi\n", + "\n", + "# 量子コンピュータのパラメータ設定\n", + "shots = 1024\n", + "seed = 10598" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "OXpCvbkVWL76" + }, + "outputs": [], + "source": [ + "# モデルの性能評価をする関数を作成\n", + "def eval_model(pred_label, print_mode=True):\n", + " test_label = [\"A\"]*testing_dataset_size + [\"B\"]*testing_dataset_size\n", + " \n", + " accuracy = sum([x == y for x, y in zip(pred_label,test_label)])/len(test_label)\n", + " precision = \\\n", + " sum([ x == y for x, y in zip(pred_label,test_label) if x == \"A\"])/sum([x == \"A\" for x in pred_label])\n", + " recall = \\\n", + " sum([ x == y for x, y in zip(pred_label,test_label) if y == \"A\"])/sum([y == \"A\" for y in test_label])\n", + " specificity = \\\n", + " sum([ x == y for x, y in zip(pred_label,test_label) if y == \"B\"])/sum([y == \"B\" for y in test_label])\n", + " f1 = 2*recall*precision/(recall + precision)\n", + " eval_dict = {\"accuracy\":accuracy, \"precision\": precision, \"recall\": recall, \"specificity\": specificity, \"F1-measure\":f1}\n", + " if print_mode:\n", + " print(\"result: \", pred_label)\n", + " print(\"truth : \", test_label)\n", + " eval_dict_print = {k:round(v,2) for k,v in eval_dict.items()}\n", + " print(eval_dict_print)\n", + " else:\n", + " return eval_dict\n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "55Qs5FdRWL7_" + }, + "source": [ + "# define visualization" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "wCAvO1_lWL8A" + }, + "outputs": [], + "source": [ + "def heatmap(pred_list, size=50):\n", + " mat = np.flipud(pred_list.reshape(size+1, size+1, order='F'))\n", + " centers = [0, 2*np.pi, 0, 2*np.pi]\n", + " dx, = np.diff(centers[:2])/(size)\n", + " dy, = -np.diff(centers[2:])/(size) \n", + " extent = [centers[0]-dx/2, centers[1]+dx/2, centers[2]+dy/2, centers[3]-dy/2]\n", + " cmap = mpl.colors.ListedColormap(['orange', 'cyan'])\n", + " # ヒートマップ表示\n", + " plt.imshow(mat, interpolation='nearest', vmin=0, vmax=1, cmap=cmap, extent=extent)\n", + "\n", + "\n", + "def scatter_data(train_for_pred, test_for_pred, train_result, test_result,\n", + " yshift=-0.155, print_index=False):\n", + " dataset_dict = {\"train\": train_for_pred, \"test\": test_for_pred}\n", + " result_dict = {\"train\":train_result, \"test\":test_result}\n", + " marker_dict = {\"train\": \"o\", \"test\": \"s\"}\n", + " \n", + " for data_type in [\"train\", \"test\"]:\n", + " data_num_half = int(len(dataset_dict[data_type])/2) # ラベルA/Bのデータ数が1:1と仮定とする\n", + " for label in [\"A\", \"B\"]: \n", + " if label == \"A\":\n", + " (plot_data, color) = dataset_dict[data_type][:data_num_half], \"red\"\n", + " elif label == \"B\":\n", + " (plot_data, color) = dataset_dict[data_type][data_num_half:], \"blue\"\n", + " plt.plot(plot_data[:,0], plot_data[:,1], marker_dict[data_type], color=color, markersize=10)\n", + " \n", + " # 誤分類を×マークでプロット\n", + " for i, pred_label in enumerate(result_dict[data_type]):\n", + " if (i < data_num_half and pred_label != 0)\\\n", + " or (i >= data_num_half and pred_label != 1): \n", + " if print_index:\n", + " plt.text(dataset_dict[data_type][i][0], dataset_dict[data_type][i][1], str(i), \n", + " color=\"white\", size=15, fontweight='bold')\n", + " # ↓ x方向は自動、y方向は手動にてプロットの位置の微調整が現状ベスト\n", + " plt.text(dataset_dict[data_type][i][0], dataset_dict[data_type][i][1] + yshift, \"×\", \n", + " horizontalalignment='center', color=\"white\", size=15, fontweight='bold')\n", + " # plt.axis('off')\n", + " plt.title(\"Classification Boundary\", size=15)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gURNGpS_XtU0" + }, + "source": [ + "# Hyper Paramter Tuning" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "UHUy73jgXsDS" + }, + "outputs": [], + "source": [ + "cvxopt.solvers.options['show_progress'] = False\n", + "\n", + "def gaussian_kernel(x, y, sigma):\n", + " return np.exp(-norm(x-y)**2 / (2 * (sigma ** 2)))\n", + "\n", + "def model_rbf(x, a, t, X, b, kernel_func):\n", + " # print(x)\n", + " sum_value = 0.0\n", + " for n in range(len(X)):\n", + " sum_value += a[n] * t[n] * kernel_func(x, X[n])\n", + " return sum_value + b\n", + " \n", + "def get_lagrange_param(t, kernel, C, print_mode=True):\n", + " # Calculate Lagrange parameter \"a\" by Quadratic Programming\n", + " N = len(t)\n", + " K = np.zeros((N, N))\n", + "\n", + " for i in range(N):\n", + " for j in range(N):\n", + " K[i, j] = t[i] * t[j] * kernel[i, j]\n", + " \n", + " P = cvxopt.matrix(K)\n", + " q = cvxopt.matrix(-np.ones(N))\n", + " temp1 = np.diag([-1.0]*N)\n", + " temp2 = np.identity(N)\n", + " G = cvxopt.matrix(np.vstack((temp1, temp2)))\n", + " temp1 = np.zeros(N)\n", + " temp2 = np.ones(N) * C\n", + " h = cvxopt.matrix(np.hstack((temp1, temp2)))\n", + " A = cvxopt.matrix(t, (1,N))\n", + " b = cvxopt.matrix(0.0)\n", + "\n", + " sol = cvxopt.solvers.qp(P=P, q=q, G=G, h=h, A=A, b=b)\n", + " a = array(sol['x']).reshape(N)\n", + "\n", + " if print_mode:\n", + " print(\"Lagrange Param\")\n", + " print(a)\n", + " \n", + " # サポートベクトルのインデックスを抽出\n", + " S = []\n", + " M = []\n", + " for n in range(len(a)):\n", + " if 0 < a[n]:\n", + " S.append(n)\n", + " if 0 < a[n] < C:\n", + " M.append(n)\n", + " \n", + " # Caclulate intercept b\n", + " sum_value = 0\n", + " for n in M:\n", + " temp = 0\n", + " for m in S:\n", + " temp += a[m] * t[m] * kernel[n, m]\n", + " sum_value += (t[n] - temp)\n", + " b = sum_value / len(M)\n", + "\n", + " return a, b\n", + "\n", + "def make_df(sampler):\n", + " (data, label_bin), label_map = split_dataset_to_data_and_labels(sampler)\n", + " df = pd.DataFrame(data,columns = [\"x\",\"y\"])\n", + " df[\"label\"] = label_bin\n", + " return df" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "J9pIfO3PXzf6" + }, + "outputs": [], + "source": [ + "kf = KFold(n_splits=4, shuffle=True, random_state=seed)\n", + "\n", + "# define loss function\n", + "def score_rbf(params, train_in):\n", + " \n", + " df_tr = make_df(train_in)\n", + " print(f'sigma: {params[\"sigma\"]}, lambda2: {params[\"lambda2\"]}')\n", + " iter_list = []\n", + " for tr_idx, va_idx in list(kf.split(df_tr)):\n", + " ks_train = {\"A\": df_tr.loc[tr_idx].query(\"label == 0\").iloc[:,:2].values, \"B\": df_tr.loc[tr_idx].query(\"label == 1\").iloc[:,:2].values}\n", + " ks_valid = {\"A\": df_tr.loc[va_idx].query(\"label == 0\").iloc[:,:2].values, \"B\": df_tr.loc[va_idx].query(\"label == 1\").iloc[:,:2].values}\n", + " \n", + " # provide hpyer parameter\n", + " sigma = params[\"sigma\"]\n", + " gamma = 0.5/ params[\"sigma\"]**2\n", + " kernel_func = functools.partial(gaussian_kernel,sigma=sigma)\n", + "\n", + " # splited dataset\n", + " data_tr = df_tr.iloc[tr_idx,:2].values\n", + " label_tr = df_tr.iloc[tr_idx,2].apply(lambda x: 2.0*x - 1).values\n", + " data_va = df_tr.iloc[va_idx,:2].values\n", + " label_va = df_tr.iloc[va_idx,2].apply(int).values\n", + "\n", + " # use qiskit-svm to get kernel\n", + " result = SklearnSVM(ks_train, ks_valid, None, gamma=gamma).run()\n", + "\n", + " # obtaine model parameter \n", + " a, b = get_lagrange_param(t=label_tr, kernel=result['kernel_matrix_training'], C = params[\"lambda2\"], print_mode=False)\n", + "\n", + " # classify data using obtained parameter\n", + " pred_score = array([model_rbf(row, a, label_tr, data_tr, b, kernel_func) for row in data_va])\n", + " pred_label = (pred_score > 0)*1\n", + "\n", + " # compare given label and prediction \n", + " accuracy = sum([label == pred for label, pred in zip(label_va, pred_label)])/len(label_va)\n", + " # print(label_va, pred_label)\n", + " # print(\"accuracy: \",accuracy)\n", + " iter_list.append(accuracy)\n", + "\n", + " print(f\"accuracy mean: {np.mean(iter_list)}\")\n", + " history_g.append((params, 1-np.mean(iter_list)))\n", + " return {\"loss\": 1- np.mean(iter_list), \"status\": STATUS_OK}\n", + "\n", + "def score_quantum(params, train_in):\n", + " df_tr = make_df(train_in)\n", + " iter_list = []\n", + " print(f'rep: {params[\"rep\"]}, lambda2: {params[\"lambda2\"]}')\n", + " for tr_idx, va_idx in list(kf.split(df_tr)):\n", + " ks_train = {\"A\": df_tr.loc[tr_idx].query(\"label == 0\").iloc[:,:2].values, \"B\": df_tr.loc[tr_idx].query(\"label == 1\").iloc[:,:2].values}\n", + " ks_valid = {\"A\": df_tr.loc[va_idx].query(\"label == 0\").iloc[:,:2].values, \"B\": df_tr.loc[va_idx].query(\"label == 1\").iloc[:,:2].values}\n", + " \n", + " backend = BasicAer.get_backend('qasm_simulator')\n", + " quantum_instance = QuantumInstance(backend, shots=shots, seed_simulator=seed, seed_transpiler=seed)\n", + " feature_map = ZZFeatureMap(feature_dimension=feature_dim, reps=params[\"rep\"], entanglement='linear')\n", + " qsvm = QSVM(feature_map, ks_train, ks_valid, lambda2=params[\"lambda2\"])\n", + " result = qsvm.run(quantum_instance)\n", + " # print(\"Accuracy: \",result[\"testing_accuracy\"])\n", + " iter_list.append(result[\"testing_accuracy\"])\n", + " print(f\"mean: {np.mean(iter_list)}\")\n", + " \n", + " history_q.append((params, 1-np.mean(iter_list)))\n", + " return {\"loss\": 1- np.mean(iter_list), \"status\": STATUS_OK}\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wnhumknHWL8D" + }, + "source": [ + "# prepare datasets_Breast_cancer" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "lGcEOCcxu5pX" + }, + "outputs": [], + "source": [ + "# サンプル用\n", + "# training_dataset_size = 20\n", + "# testing_dataset_size = 20\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 281 + }, + "id": "nlM5PsDxWL8E", + "outputId": "f136b725-8cc5-4b1f-9d79-14e229a113a1" + }, + "outputs": [ + { + "data": { + "image/png": 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6mwkJhXqTtgshMpFiEJ3N8Quht698W29fsF0IURNSDKKzmT0PTrsUJkwHLHg97VI5noWoA0Ulic5n9rymK4KlK4a4+JbVrNs0zLSJfcw/aRZzj0hbhkSIzkGKQXQcrR6Ul64Y4pPX3Mvwth0ADG0a5pPX3Asg5SBGBTIliY6iNCgPbRrG2T0oL10x1DQZLr5l9S6lUGJ42w4uvmV102QQopFIMYiADskebodBed2m4aq2C9FpSDGI3dnDm9cAvjt7uA2VQzsMytMm9lW1XYhOQ4pB5M8eboNZRTsMyvNPmkVfb0/Ztr7eHuafNKts29IVQxy9+HYOWnAjRy++vanmLiHqQc5nkS97uE1qEs0/aVaZ4xfiB+V6SXNwl17THOByUItORopBBFnCm9fEby+RNqtoomLIMyjXS55Bfe4R/annTPOFSDGIdkeKQQRZwtHZAIzMHm6jmkSVg3LJZFOUoihiUG8HX4gQtSIfg8iXPZxUe8jGtNTn0Ijw1SIG9XbwhQhRK4UoBjM72cxWm9nDZrYgZr+Z2aXh/lVm9tq8fUWTmD0PPnofLNoUvFaahw45Mb6f76CVkUyNCF9NGrwnju/N7UzO66AWoh2pWzGYWQ/wVeAU4FXAmWb2qopmpwCHhH/nAF+voq9oB357a3abFqyD0AiTTdygDrBxy7bcM5O5R/Tzr3/1avon9mFA/8Q+/vWvXi3/gugIivAxHAk87O6PAJjZ94E5wAORNnOAb7m7A3ea2UQzOwCYmaNv97FqSTDAbl4bmHCOX9j6onB5fQlN9jlMm9jHUIwSqMdkUxq8L7j+fjZu2ZbYLsvvkOWgFqJdKcKU1A9EQ1rWhtvytMnTt7to12SzvOsbNHkdhFpNNlk5BnOP6Gf8uOznJjmTxWikiBmDxWzznG3y9A0OYHYOgRmKGTNmVCNfZ9EmYaEjiItcqqQF6yAkha8CiZFKS1cMMf+H97BtR/BTG9o0zPwf3lN2PMg36MuZ3F60usDiaKEIxbAWmB75fCCwLmebcTn6AuDulwGXAQwMDMQqj1FBG4WFllFSSlET1yEnBr6HFpu84sJX0/IQLrj+/l1KocS2Hc4F199fdpwkM1UJOZPbCyUVFkcRiuEu4BAzOwgYAs4A3lnRZhlwbuhDeAOw2d3Xm9mGHH27izzJZq2iBese1EJWHkKS36Bye1yWtRFMafv1NNp2KKmwOOpWDO6+3czOBW4BeoAr3f1+M/tQuP8bwE3AqcDDwBbgfWl965Wpo8mTbCZSKSpSqRlZ1qI4lFRYHIVkPrv7TQSDf3TbNyLvHfiHvH27mjiTTTtEJXUQWZFKE/t62TQ8ctYwsa93xLaSmapku/7o1Su5+JbVUhBtSCMi1LoVZT63I1nJZlm0QRXUVpIVqbTorYfSO6Y87qF3jLHorYfGHq8dFgcS2SipsDhUK6kTSctzSKqC+vidbeEobgZZJqBqTUSyXXcGMv0VhwVWns5iYGDABwcHWy1Ga6gc+CHwQZRqG11yWLzzepfbNKZPC+iksMKDFtwYG0NtwKOL39JscYSoGTNb7u4DWe1kSuo0shbVSQxrrRjaWlC+okQzTDNFLpKjgnii25BiqIdW2PKz8hyqCWutXIgn61oKut5Gr9tctOKR7TofWrFu9CAfQ60UvaJZ3vpIWXkOsRnKFWakyj4x17L9un/kc8vu56rnj2TaxD6+/Krf8vp7P1PI9TY6rLBon4Bs19kouWx0IcVQK0WVrli1BG4+H4af3b0tbdDNynNIylC+57vJfWKuZeyOF/ibnd/mPzmSoU3DTFt+EVgxpTqywgrr9T80QvGoIF46ctCPLmRKqpUiSleUntSjSqFEkg8gz6I6leGuM46CsRF7eN/k8j4JMk+zZ3a9P4Cn46+hhlIdaaaZIsxA8gk0HyWXjS6kGGolyZZfjY0/btYRpYj6SHHKZ3vFORNkXuf7RN5PiT9+DaU60tYqKML/IJ9A85EyHl1IMdTK8QsDc0yUaktXZA38cYNuXFnua86BGz4Wf4ysKCaIvZYtPo6Ltu+ehVy0fR7D7FF+nDpKdcw9op87FryJRxe/hTsWvGmXuSHtyTOvc1OL5DQfKePRhXwMtVJE6YokRzKMHHR3Oafj2jsMXhmYjCrPn2jyWhNEF5XkPu3SXdeypW9/Fv7xdJbt/PNdzX/c80bOeu1MXv+7rzQ0SS7J/zChrzfRuQnxjuF2UQSdlLNRK+3qoO+Ge98IlODWSuKS1SDwAZzy+eRs5iQmTA98ClESE94ixCS7teofqjK6BYInzz17x8RWRZ00vpcXtu0c0b6WGUIjrjnpejSDaTy69yPJm+AmxdBI8oSg5mmTZ3AHwAKHc9lx15AYrholTqk0kLRBOG7fR69emXUFZfRP7OOOBW+qSp5GDCJHL749dgZUrXyienTvR5JXMciU1Cjy5jnkWeMgrxO6b1JEiUSVgZOpHBq9EFBEAW7p259f/vF0hrYGpqrKmPc4M9DFt6xOXTSnkjzRMFEFNMaMHRUPSUWEWypap3Xo3teOnM+NIo/TNy95In96xsGLz0VmFpVKwINZwYTplT3zn6NWKhzm44fXc6FdxlvH/HJXk6zIozjnZhpZ0TCVYbGVSqFEvYNIkhwOyg5uMIqUqh0phkZR5BKdcRFQZRiM6YWd8SuTlZ27iGiqaolRkuNtK58YW15SY2jTcGLEUSnSKA95omHiwmLjyDuIJEVMpSk0le9uLIqUqh0phkZRRJ5DibKktjgctv0x+zgWft1ZCXJFkyOBrkRaUtvcI/rpTxioe8yqCk3NMxPIO4ikJeVFQ2fjKLJGlChHYcu1I+dzo8gqj10riyaS6UhOoxXlthOc52t3TuGYrZcmdotzEhblJE5yTPaYsdO9qqikvE7OWsp3NyM6TCGd3YOcz80iKaqoNPBG6yCNLcC2mZT70Dc5yGjOCmmtsb5RXuIGmf6D/5HD7v5n+nhxV7vtPXty+dh3Y1uT1VzcU31R8fLzT5o1QsEYcOYbpvO5uflMVmlyxm2vdunJZhSmU/E7EYdMSfUQl4V8/YfLy1FHy08MPztyf7Uk+QhO+fxIE1ESDYhAWrpiiMMvuJXzrl5ZZlKZ/4N7eOevp3P+1g+wducUdrox5FNY8ZoLWfTpC3h08VsSzSxJA2Y0a/q4V0zl40vuYeaCGzn4kzfx6aX3xvaJO8bpr+snusCnAz9aPlS1zT+vk7Nam3ejy5M36xyi85BiqIekyKObz0/fX0tkUmkthGvOCWYefZMZ4SOIFs87fmGwPw4bU+jaEaWnzk3DI53f23Y623Y4y3YewzFbL+VlL36Ho1+8lPMeOGRXm1qdhJ9eei/fvvPxXRFFO9z59p2P51YOP31ow4jZSi2DYl75q7V5NyPcUiGdIo66TElmNhm4GpgJPAbMc/eNFW2mA98C9gd2Ape5+/8N9y0CPghsCJt/yt1vqkemppL05D38bDDw1hqZVGmeqiybXTJN9U1OLktx24UkGml8R31rR1SQN8InSqn2UckkNHF8L3uMHcPm4W25zUPf+3V80t/3fr0mlzmoqEGxGvNWNaU6qjU91UIzziE6j3p9DAuA29x9sZktCD+fX9FmO/Bxd7/bzPYGlpvZj939gXD/Je7+hTrlaA1ptY5uPj9IOIsrqZ0WmRSXGDd4JbGDfMk0BflrJJUowNdQGtirSTwrUVn7aOOWbfT19nDJOw7PPXAm5R4kba+kyEGxEbWZ4vwgRYdbNuMcovOo15Q0B7gqfH8VMLeygbuvd/e7w/fPAQ8Co8OrlRb7P/wsvLh55PYxven9Yktxpwx0laapkskpT+RSHb6GaIhmGr1jjN6ecpNWX28PZtRt2+6xeFNZ0vZK2j3OvRnhlgrpFHHUO2PYz93XQ6AAzGzftMZmNhM4Avh1ZPO5ZvYeYJBgZrExpitmdg5wDsCMGTPqFLsgZs8bufpalJ0x5pU99k5/Sq9lsC71yVtsr0Qd2c55zEeTxvfymdMO3dW+svZRHNWYcc58w3S+fefjsdvzEGcCOu4VU7n4ltV89OqVXRO62U6VaEV7kDljMLOfmNl9MX9zqjmRmb0E+BFwnrv/Idz8deBg4HBgPfDFpP7ufpm7D7j7wNSpU6s5dWM55fPVtR+O1Xu7qWWwLvXJWvgnSp3ZzmkDeP/EPr78jsNZsfBEIN72nmSumTi+N/eC8p+b+2refdSMXTOEHjPefdSMqsJNoxFO80+axY+WD9W1elyRFLGanRC1UFeCm5mtBo4NZwsHAD9z9xHzcDPrBW4AbnH3LyUcayZwg7sflnXehiW45al0Gtfnmg9Wd54J05OPvWpJEHmUN4mtlLAG2XJYD/jOQtZSyJPUlZaMBozY19tjQRL3Th/RvhlPtO1WjbPd5BGdT94Et3p9DMuAs8P3ZwPXxQhiwBXAg5VKIVQmJd4GNK/ucyV5chLiSAs9HZNQ9C167JJPYNHE0DcAuUpkR0NVYbcTOg3fuXsd6DqjkfLY57MWiD/9df1lT/tjx1iZUoi2bwa1RCnlXVWuWfIIUQT1+hgWA0vM7APA48DbAcxsGnC5u58KHA2cBdxrZiXDciks9SIzO5xgJHwM+Ns65amdtJyDWn0Ce0yAcXvFRy6V8h2i2cq7SnOnlMjumxy/GE8eE1JGNNSWmxey5/ATrNu5D5ePezeHv+WcxCf1PCGaWct0/mj5UFkOwvC2xlQ4zUu7ZSYrlFS0iroUg7s/Axwfs30dcGr4/pckZFq5+1n1nL9Qas05SAtZHd4I5z+aXN8ozmmdNcAf+rbqZQTAkn0KN3wMH7yC8eHHA8c8zSe2fY2F124H/j5VOaQNgGkDWzW5D80aCKsN3cyaETVbHiGKQpnPJWqthpqWYVzqW+RaB7+9Nfk8iRgMvL98qdCS+erzB8HgFSOuYLxt5Ty+X5cZJ83clHcW0MyBsN0ykxVKKlqFiuiVOH5hfDXUuKfsSif1QX8Bj/6CsllBtO8hJ45MUuvtC0pbJIW6JhE3O4iTvWSOqnR0V4a0ppx/mj3N1Vs+CIueqclhnWZuSkqM22tcDxPHj2tZpc92y0xWKKloBVIMJUoDXp41miszk7c8HTyR//bWkX1XLQnKWZSZkgxe806YcVTygJ5EaXZQqZxe887481dSTUgrgVlp13XWUEYjaWCbf9Is5v/wHrbtKL/Wrdt3dkzugEw9YrSi9RiqJWFtASZMH+kUztO+coBP8ldAeWhq0loPkK7ccq7n4A6xCcRJ11kDh19wa2zhvU4Kx9RaBqKT0HoMjSLRSb0mGHQrB+Okgb60Pbp2AwQ2/yTzzmveGbSNi0JKjXJi9zmylA+wM0kpQKEluzfHKAXorHDMVpp6pJREo5DzuVpSHb0x+Q+WkMtQ2l6Zx7D9xfj2EJik0qq2Dj+bXeY7bj2HnnFlZbzHnP5NLGk9hwId6d20WHvR+Q7KihaNRIqhWuIG1kqig7EnhGT6jmB2sPTvy5Pq0tZuLh232sE5qkjK1o8Ok+TmfDUMq40kvyUtCFRHGY1K2r2IXVE0YhDXAjuikUgxVEvlwJpEaTBOW0lt+FnYGW9OST3u8QuDKq1RxvSGT/0xVCqS6II+MVnQS1cMcfRNU/jIH9/HE0zFKxcEKohuCcdsxCCurGjRSORjqIWoXyDRuRwOxrGhpPXg4QpxO8s3mwXJb9EFfaDqp/xoNu8Qx3DdC8cE9YqOfTVzZxc/YHdDOGYjBnFlRYtGohlDvWSZXEozjCRfQxx9k5Of/iGcaVSYqHZsDcJVK81EVT7ld7qJIs2WX4Sdv5ZjNMKX0i1mONEaNGOolzz5D7PnhRVTc3Lo2+Avv5QeoRTH5rUjo5yqJOvpth0iYZJkSKtdBNRd16jW2kiNyHeoZjlRIapFiqEI8gzGSct8xlEqe5G1dkMlBUQMpZko6i0aV4RSSZMha7ZTb12jWmsjNWoQ7wYznGgN3WlKqgwRzSqtXW//VUvgxefyH3+X47rKgf6QE6trH0OaiaIeM1NRkTlpMiQtMzq0abgQO389x5h7RD/zT5rFtIl9rNs0zMW3rFZoqWhbuk8x1LruQj39b7uwuuijqOM6KzQ2SlyBvSpJixSqZ2AsyneRJkPaGtBF2PlJJiZkAAATAUlEQVQnju+N3Z7nGMo7EJ1E95mSal13oZ7+1WQLVzquIf8KcQVlJSeZKOqJhEl6mq82MidNhqRz7HCv2s5fafY67hVTef6F7SPa9fZYLl9Bo0t0C1Ek3TdjqGXdhajpKLHERUr/vCahuCii2fPScyFqOU+N1BoJs3TFUGLGR7WROWky9Cccq39iX1U5E3FP99+58/ERq8sB7DVubK6BXXkHopPovhlDUq2gpEG1sppq2nGTyJPLkFacLk//grOS46jViXrxLatjy/YZ5I7MiT7BTxzfyx5jx7B5eNsIGdJmBXmdtXFP90llB+OKAMahvAPRSXSfYqhm3QXIV6Y6z7oNfZPS119Im3HEhcQecmK+MtsFU0skTNJTsZM/mik64G/cso2+3h4uecfhZf2Liv6p5ik+ya9RiUp0i06i+xRD3nUXSmTZ7a2nvDZS2oI4vX1B4lqccsgyA9Wan1BZ1rtJCiRK0tNykumnkmrs81HFVZplfPTqlSOURFrobJq/opIdOcvWK+9AdBLdpxigukE2yfTUNzm9xHWSk3psX6Ag6ihbEUucAoCRiwrVsNhOvdT7tFyNfb404A9tGi5b8qiaZLc4eZOWT8qr3IToJLrP+VwtSSUvIL3EdWJp7I3BugqlEhnWs3udhVpJCqG9+fxYGdf+8JOFlH7OS73F8pLs8GPMRpS8KDmNYeRAXpplZIXOxsn7rqNmjHB6A2zZuj3XfVS4qugk6poxmNlk4GpgJvAYMM/dR6TrmtljwHPADmB7aQWhvP1bSpLpKanERTQ5LXamMSkodFcqx+07gvWgB68YuT5zlDSTUNLsJME3Ms2eqakkRKuIe4KHwIwTvYa4Ab+SNP9BdF+cL2XgpZNZtOz+Mofzxi3bct1HhauKTqLeGcMC4DZ3PwS4LfycxHHufnjFsnLV9G8dcWWqk3wCaclpSTON0rNtUrJcVlJdlfkL63wfoHnF8eKels+7eiVHXHhrrifm0hN8nKM3eg15nMbTJvYlzkAm9PWmFsibe0Q/e+0x8lkqz31UuKroJOpVDHOAq8L3VwFzm9y/deStqlpZ6TSr/lHlimuQnlQHVeUvbPFxXLR994ykGQNT0pN86Wk7r3LYmeDoLV1DVuhnya8RlwvRO8b449btmaaepPuV5azuptXqROdTr2LYz93XA4Sv+ya0c+BWM1tuZlEbTN7+mNk5ZjZoZoMbNmyoU+wCSBr4K5PTKmca48ZnH7tyBpCVlJezdMZ2H8OCbX/Dsp3H7NrWjIEpTflUM2vJGlzjBvzSHCPq14jzIbxkz7Fs21GueOJkS5LBIFXBqUy26CQyfQxm9hNg/5hd/6eK8xzt7uvMbF/gx2b2kLv/oor+uPtlwGUAAwMD+WIEG00tIaRbt2S3qZwBZCXlVfpBEtKxxuBlSqFZA1NW+GfeWUtWdFM1IaGVPoSDFtyYS7b5J83io1evHHGHPTxvkr9A4aqik8hUDO7+5qR9ZvakmR3g7uvN7ADgqYRjrAtfnzKza4EjgV8AufqPLrJ0mgVK4JLDdjuY8yTl5VhV7oXx+9Pf19f0gSnJeVwi76wlz+BaaynqvJnJc4/o57yrV8YeI0vBqUy26BTqzWNYBpwNLA5fr6tsYGZ7AWPc/bnw/YnAhXn7dxeRaPm4nIO8iWoJimT8KRdyx+w3NUz6JEqDYWVED1Q/a2nU4FpNrkW/yluIUY55zszN2M5m+wBLgBnA48Db3f1ZM5sGXO7up5rZy4Brwy5jge+6+7+k9c8678DAgA8ODtYsd0tZNKG69mk1lNJICW9t5Sps0QS0HjN2uNPfJmaVvPelskQHBEqkmtwMIVqBmS2viAyNb1ePYmgVTVEMRZeS2HW8hOqsiVjgvC6IdhjUWiVDkQqxHZY4FaJa8iqG7iyJkcUNHwuSztLMOtWQt0JrHDYm6F9QCYt2SLRqhQz1LktaOoaUgegGVBKjklVLypVCibj8grzkqdCahO+oboW5DNoh0aoVMtS7LOnhF9zKeVevVEkL0RVIMVRy24UkRg7VukJavSur1aOUKkhanjJpexJLVwylZgmn0Ypkr1qVUWmmEbfuQrMyx4VoNlIMlRSxElu1/fomZx+joGU7k1xK1bia6i0I14pkr1qVUVb9JZW0EKMRKYZKEgdxq700dlL5jL/6JizaDOc/mr18Z0HLdm5OWHEsaXsc9ZhloP5qq7VQqzLKGvgVoipGI3I+VxK7jKbBwPtrdwDnyUM45MR43wYUumxnEUtMFuEjaHayV62Zx2lZ2yppIUYrUgyVVJtMVs1xk46xaklQijtOKaSV4q6BUiLXCTt+zifGLmGaPc16prDuVZ8A8iW/der6xbUoo6Ss7Unje/nMaYcqKkmMSqQY4qh1Gc1aSYpaSkluqzV0cu4R/fSvuYHD7r6CPl4EoJ+n6b/3MzBzUq7r7qb1i9upxpHCZUWzkGJoB7Kqp1ZQb0z+63/3FQiVwi5KkU85FEM7DZbNoB1qHBWRhyFEXqQY2oGs6qkV1J0gVqUiiqPowVJPw+m0Q2Ki6B4UldQOZC36U0Hdzt+s1eeaTLPWQ64n96LVtENiougepBjagTyL/kSoJ0Fs6YohPrn5bWzxceU7Cox8qpZ6w1/z0Czl0yi0ApxoJlIM7ULcam8J1BqTv3TFEPN/cA/fe+EoFmz7G9bunMJON4Z8Cne9+oLmOtwjNONpuBnKp5FoBTjRTORj6EBqdf5efMtqtu0MQmKX7TyGZVt3r+bW/0Afd7y1cTKnUUv4a5ZPonJ/Ui5CkcqnkX6SbnP4i9YixdCh1OL8TRsEW2mrrjb8NStCJ25/ZAmkMiqVT7UKp7S/GVFD7RAdJboDmZK6iLQn8FbaqqstkZFlForb7wTr40WpVD5Zfoi0/Z1uqhIiimYMXcT8k2Yx/wf37DInlejtsZbbqqt5Gs7ySSTtdwKlkzQbyAoJTduvqCExmpBi6CLi1l7uxNIOWT6JpP39E/u4Y0Fy2Y9aFU6aH0NRQ6ITkWLoMtrRTl2t0zbLJ1FryY5aFU5J5m4pEyJGP/IxiJZSS35Blk+i1rLeWSGhaftbUUpciEZhXs0KLZWdzSYDVwMzgceAee6+saLNrLBNiZcBC939y2a2CPggsCHc9yl3vynrvAMDAz44OFiz3KJ9OHrx7TWZfRpFrVFJQnQCZrbc3Qcy29WpGC4CnnX3xWa2AJjk7uentO8BhoA3uPvvQ8XwvLt/oZrzSjGMHg5acGNsGKkBjy5+S7PFEWJUk1cx1OtjmAMcG76/CvgZkKgYgOOB37n77+s8rxgltJPTVrMBIQLq9THs5+7rAcLXfTPanwF8r2LbuWa2ysyuNLNJdcojOox2KfXQ6bWUhCiSTMVgZj8xs/ti/uZUcyIzGwe8FfhBZPPXgYOBw4H1wBdT+p9jZoNmNrhhw4akZqLDaBenrRLUhNhNpinJ3d+ctM/MnjSzA9x9vZkdADyVcqhTgLvd/cnIsXe9N7NvAjekyHEZcBkEPoYsuUXn0A4htJ2UoCaTl2g09ZqSlgFnh+/PBq5LaXsmFWakUJmUeBsQv46lEA2mU8pay+QlmkG9imExcIKZ/RY4IfyMmU0zs11hp2Y2Ptx/TUX/i8zsXjNbBRwHfLROeYSoieNeMTWzllI7sGjZ/TJ5iYZTV1SSuz9DEGlUuX0dcGrk8xZgn5h2Z9VzfiGKYOmKIX60fKgsbNaA01/XehNXlKUrhnaVMqmkkSYvma66D5XEEF1PUjXWnz7UXkEOabOCRpm8mlFOXLQfKokhup5OcTynydMok5eitboTKQbR9XSK4zlJnknjexv29N4pSlMUixSD6HraJckuiyQ5P3PaoQ07Z6coTVEsUgyi62mXJLssWiFnpyhNUSx1FdFrFSqiJ0TzUFTS6KFZRfSEEKOcdshMF81FpiQhhBBlaMYgRBsgc41oJ6QYhGgxSiIT7YZMSUK0GCWRiXZDikGIFqMkMtFuSDEI0WKURCbaDSkGIVqMkshEuyHnsxAtpuRgVlSSaBekGIQogHrDTZVEJtoJKQYh6kThpmK0IR+DEHWicFMx2pBiEKJOFG4qRhtSDELUicJNxWhDikGIOlG4qRht1KUYzOztZna/me00s8Qa32Z2spmtNrOHzWxBZPtkM/uxmf02fJ1UjzxCtIJOWehHdCZLVwxx9OLbOWjBjRy9+HaWrhhq+DnrWqjHzF4J7AT+Hfgndx+xeo6Z9QC/AU4A1gJ3AWe6+wNmdhHwrLsvDhXGJHc/P+u8WqhHCNENVEa8QTAbrfXBI+9CPXXNGNz9QXfPCr04EnjY3R9x963A94E54b45wFXh+6uAufXII4QQo4lWRbw1w8fQD6yJfF4bbgPYz93XA4Sv+yYdxMzOMbNBMxvcsGFDw4QVQoh2oVURb5mKwcx+Ymb3xfzNyepbOkTMtqrtV+5+mbsPuPvA1KlTq+0uhBAdR6si3jIzn939zXWeYy0wPfL5QGBd+P5JMzvA3deb2QHAU3WeSwghRg3zT5oV62NodMRbM0xJdwGHmNlBZjYOOANYFu5bBpwdvj8buK4J8gghREfQqoi3eqOS3gZ8BZgKbAJWuvtJZjYNuNzdTw3bnQp8GegBrnT3fwm37wMsAWYAjwNvd/dns86rqCQhhKievFFJdSmGViHFIIQQ1dOUcFUhhBCjDykGIYQQZUgxCCGEKEOKQQghRBlSDEIIIcqQYhBCCFFGR4armtkG4Pc1dJ0CPF2wOEUguapDclWH5KqO0SzXS909s6ZQRyqGWjGzwTwxvM1GclWH5KoOyVUdkkumJCGEEBVIMQghhCij2xTDZa0WIAHJVR2SqzokV3V0vVxd5WMQQgiRTbfNGIQQQmQgxSCEEKKMUacYzOztZna/me00s8TQLjM72cxWm9nDZrYgsn2ymf3YzH4bvk4qSK7M45rZLDNbGfn7g5mdF+5bZGZDkX2nNkuusN1jZnZveO7Bavs3Qi4zm25mPzWzB8Pv/CORfYXer6TfS2S/mdml4f5VZvbavH0bLNe7QnlWmdmvzOw1kX2x32mT5DrWzDZHvp+Fefs2WK75EZnuM7MdZjY53NeQ+2VmV5rZU2Z2X8L+5v+23H1U/QGvBGYBPwMGEtr0AL8DXgaMA+4BXhXuuwhYEL5fAHy+ILmqOm4o4xMECSkAi4B/asD9yiUX8Bgwpd7rKlIu4ADgteH7vYHfRL7Hwu5X2u8l0uZU4GaCNc6PAn6dt2+D5fpzYFL4/pSSXGnfaZPkOha4oZa+jZSrov1pwO1NuF9/AbwWuC9hf9N/W6NuxuDuD7r76oxmRwIPu/sj7r4V+D4wJ9w3B7gqfH8VMLcg0ao97vHA79y9lgzvaqj3elt2v9x9vbvfHb5/DngQaMSah2m/l6i83/KAO4GJFqxjnqdvw+Ry91+5+8bw450Ea643mnquuaX3q4Izge8VdO5E3P0XQNrKlU3/bY06xZCTfmBN5PNadg8o+7n7eggGHmDfgs5Z7XHPYOSP8txwKnllUSabKuRy4FYzW25m59TQv1FyAWBmM4EjgF9HNhd1v9J+L1lt8vRtpFxRPkDw5Fki6Tttllx/Zmb3mNnNZnZolX0bKRdmNh44GfhRZHOj7lcWTf9tjS3iIM3GzH4C7B+z6/+4+3V5DhGzre643TS5qjzOOOCtwCcjm78OfJZAzs8CXwTe30S5jnb3dWa2L/BjM3sofNKpmQLv10sI/oHPc/c/hJtrvl9xp4jZVvl7SWrTkN9axjlHNjQ7jkAxHBPZXPh3WoVcdxOYSZ8P/T9LgUNy9m2kXCVOA+7w8jXoG3W/smj6b6sjFYO7v7nOQ6wFpkc+HwisC98/aWYHuPv6cLr2VBFymVk1xz0FuNvdn4wce9d7M/smcEMz5XL3deHrU2Z2LcE09he0+H6ZWS+BUviOu18TOXbN9yuGtN9LVptxOfo2Ui7MbDZwOXCKuz9T2p7ynTZcrogCx91vMrOvmdmUPH0bKVeEETP2Bt6vLJr+2+pWU9JdwCFmdlD4dH4GsCzctww4O3x/NpBnBpKHao47wrYZDo4l3gbERjA0Qi4z28vM9i69B06MnL9l98vMDLgCeNDdv1Sxr8j7lfZ7icr7njCC5Chgc2gCy9O3YXKZ2QzgGuAsd/9NZHvad9oMufYPvz/M7EiCseiZPH0bKVcozwTgjUR+cw2+X1k0/7dVtIe91X8Eg8Ba4EXgSeCWcPs04KZIu1MJolh+R2CCKm3fB7gN+G34OrkguWKPGyPXeIJ/kAkV/f8LuBdYFX75BzRLLoKoh3vCv/vb5X4RmEU8vCcrw79TG3G/4n4vwIeAD4XvDfhquP9eIhFxSb+1gu5TllyXAxsj92cw6zttklznhue9h8Ap/uftcL/Cz+8Fvl/Rr2H3i+AhcD2wjWDs+kCrf1sqiSGEEKKMbjUlCSGESECKQQghRBlSDEIIIcqQYhBCCFGGFIMQQogypBiEEEKUIcUghBCijP8PJVGCN7ukOqUAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sample_Total, training_input, test_input, class_labels = breast_cancer(\n", + " training_size=training_dataset_size, test_size=testing_dataset_size,\n", + " n=feature_dim, plot_data=True # ,gap=0.3 # breast_cancer使用時はgapパラメータを削除\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "KVp7pWA_q5B9" + }, + "outputs": [], + "source": [ + "training_input_pi_normalized = {k:(v+1)*np.pi for k,v in training_input.items()}\n", + "test_input_pi_normalized = {k:(v+1)*np.pi for k,v in test_input.items()} \n", + "\n", + "# Predict 50x50 mesh to visualize boundary\n", + "(train_for_pred, _), _ = split_dataset_to_data_and_labels(training_input_pi_normalized)\n", + "(test_for_pred, _), _ = split_dataset_to_data_and_labels(test_input_pi_normalized)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "umOFsLeqWL8O" + }, + "source": [ + "## Classical SVM" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "PnI8G260rRz_" + }, + "source": [ + "### Without Hyper Parameter Tuning\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 350 + }, + "id": "dQdpXstuWL8P", + "outputId": "50a3d2e6-713d-4f9f-fed0-aebfe0b3034f" + }, + "outputs": [ + { + "ename": "ArpackNoConvergence", + "evalue": "ARPACK error -1: No convergence (2001 iterations, 0/1 eigenvectors converged)", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mArpackNoConvergence\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/opt/anaconda3/lib/python3.7/site-packages/cvxpy/expressions/constants/constant.py\u001b[0m in \u001b[0;36mextremal_eig_near_ref\u001b[0;34m(A, ref, low)\u001b[0m\n\u001b[1;32m 242\u001b[0m \u001b[0msigma\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m-\u001b[0m\u001b[0mref\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mlow\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0mref\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 243\u001b[0;31m \u001b[0mev\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mSA_eigsh\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msigma\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 244\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mArpackError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/opt/anaconda3/lib/python3.7/site-packages/cvxpy/expressions/constants/constant.py\u001b[0m in \u001b[0;36mSA_eigsh\u001b[0;34m(sigma)\u001b[0m\n\u001b[1;32m 237\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mSA_eigsh\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msigma\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 238\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0meigsh\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mA\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mk\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msigma\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0msigma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mreturn_eigenvectors\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 239\u001b[0m \u001b[0;31m# Run eigsh in shift-invert mode, since we're particularly interested in finding\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/.local/lib/python3.7/site-packages/scipy/sparse/linalg/eigen/arpack/arpack.py\u001b[0m in 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ncv, maxiter, tol, return_eigenvectors, Minv, OPinv, mode)\u001b[0m\n\u001b[1;32m 1688\u001b[0m \u001b[0;32mwith\u001b[0m \u001b[0m_ARPACK_LOCK\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1689\u001b[0m \u001b[0;32mwhile\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mparams\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconverged\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1690\u001b[0;31m \u001b[0mparams\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0miterate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1691\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1692\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mparams\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mextract\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mreturn_eigenvectors\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + 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\u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 376\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mArpackNoConvergence\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mnum_iter\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mk_ok\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mev\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvec\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 377\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 378\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mArpackNoConvergence\u001b[0m: ARPACK error -1: No convergence (2001 iterations, 0/1 eigenvectors converged)" + ] + } + ], + "source": [ + "result = SklearnSVM(training_input_pi_normalized, test_input_pi_normalized, mesh_list).run()\n", + "print(\"kernel matrix during the training:\")\n", + "kernel_matrix = result['kernel_matrix_training']\n", + "img = plt.imshow(np.asmatrix(kernel_matrix), interpolation='nearest', origin='upper', cmap='bone_r')\n", + "plt.show()\n", + "\n", + "print(\"testing success ratio: \", result['testing_accuracy'])\n", + "\n", + "# モデル評価(ハイパラ調整なし)\n", + "# 誤分類チェックのためにtraining/testデータを予測データとして利用\n", + "(train_for_pred, _), _ = split_dataset_to_data_and_labels(training_input_pi_normalized)\n", + "(test_for_pred, _), _ = split_dataset_to_data_and_labels(test_input_pi_normalized)\n", + "train_result = SklearnSVM(training_input_pi_normalized, test_input_pi_normalized, train_for_pred).run()\n", + "test_result = SklearnSVM(training_input_pi_normalized, test_input_pi_normalized, test_for_pred).run()\n", + "\n", + "eval_model(test_result[\"predicted_classes\"])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 517 + }, + "id": "IgvvzR6-WL8b", + "outputId": "76a4351e-e947-4408-f8de-dbd17ffe74e5" + }, + "outputs": [], + "source": [ + "# Comparison between with and without hyper parameter tuning \n", + "train_result = SklearnSVM(training_input_pi_normalized, test_input_pi_normalized, train_for_pred).run()\n", + "test_result = SklearnSVM(training_input_pi_normalized, test_input_pi_normalized, test_for_pred).run()\n", + "\n", + "eval_model(test_result[\"predicted_classes\"])\n", + "\n", + "plt.figure(figsize=(7, 7))\n", + "heatmap(result[\"predicted_labels\"])\n", + "scatter_data(train_for_pred, test_for_pred, train_result[\"predicted_labels\"], test_result[\"predicted_labels\"],yshift=-0.014)\n", + "plt.show()\n", + "\n", + "# 赤がA、青がBのラベル。●が訓練データで、■がテストデータ" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wQ-sW-9ergLv" + }, + "source": [ + "### With Hyper Parameter Tuning" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "EdNTO6rlyJYy", + "outputId": "59aff64b-00f0-4bd7-88b4-6d2c92e72dc6" + }, + "outputs": [], + "source": [ + "space = {\n", + " \"sigma\": hp.loguniform(\"sigma\", np.log(0.001), np.log(10)),\n", + " \"lambda2\": hp.loguniform(\"lambda2\", np.log(0.001), np.log(10))\n", + "}\n", + "\n", + "max_evals= 25\n", + "trials = Trials()\n", + "rstate = np.random.RandomState(seed)\n", + "\n", + "history_g = []\n", + "fmin(functools.partial(score_rbf,train_in=training_input_pi_normalized),\n", + " space, algo=tpe.suggest, trials=trials, max_evals=max_evals, rstate=rstate)\n", + "\n", + "history_g = sorted(history_g, key=lambda tpl: tpl[1])\n", + "best = history_g[0]\n", + "print(f\"best prames:{best[0]}, score:{best[1]:.4f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "YM-ejYALbu8M", + "outputId": "3d1fa741-f644-4488-f22e-0d732fc4df2f" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "result: ['A', 'A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'A']\n", + "truth : ['A', 'A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'B']\n", + "{'accuracy': 0.9, 'precision': 0.83, 'recall': 1.0, 'specificity': 0.8, 'F1-measure': 0.91}\n" + ] + } + ], + "source": [ + "# evaluate test data with tunned hyper parameter\n", + "lambda2 = history_g[0][0][\"lambda2\"]\n", + "sigma = history_g[0][0][\"sigma\"]\n", + "gamma = 0.5/sigma**2\n", + "\n", + "result_ker = SklearnSVM(training_input_pi_normalized, test_input_pi_normalized,None, gamma=gamma).run()\n", + "\n", + "df_tr = make_df(training_input_pi_normalized)\n", + "data_tr = df_tr.iloc[:,:2].values\n", + "label_tr = df_tr[\"label\"].astype(float)*(2)-1\n", + "\n", + "df_test = make_df(test_input_pi_normalized)\n", + "data_test = df_test.iloc[:,:2].values\n", + "\n", + "# create model\n", + "a, b = get_lagrange_param(t=label_tr, kernel=result_ker['kernel_matrix_training'],C=lambda2,print_mode=False)\n", + "# predict \n", + "kernel_func = functools.partial(gaussian_kernel, sigma=sigma)\n", + "pred_score_train = array([model_rbf(row, a, label_tr, data_tr, b, kernel_func) for row in data_tr])\n", + "pred_score_test = array([model_rbf(row, a, label_tr, data_tr, b, kernel_func) for row in data_test])\n", + "pred_label_train = (pred_score_train > 0)*1\n", + "pred_label_test = (pred_score_test > 0)*1\n", + "\n", + "df_test[\"pred_g\"] = pred_score_test\n", + "# \"Accucary\", df_test.apply(lambda x: (x[\"label\"] ==0 and x[\"pred_g\"] < 0) or (x[\"label\"] ==1 and x[\"pred_g\"] > 0), axis=1).sum()/len(df_test)\n", + "eval_model(df_test[\"pred_g\"].apply(lambda x: \"A\" if x < 0 else \"B\").tolist())" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 419 + }, + "id": "bdSt07DM_OjV", + "outputId": 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xylabelpred_g
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33.0751481.6683980-1.194918
42.4875621.6107720-1.361286
...............
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100 rows × 4 columns

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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light", + "tags": [] + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(7, 7))\n", + "heatmap(pred_label_mesh)\n", + "scatter_data(train_for_pred, test_for_pred, pred_label_train, pred_label_test ,yshift=-0.014)\n", + "plt.show()\n", + "\n", + "# 赤がA、青がBのラベル。●が訓練データで、■がテストデータ" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "3ba0_1zGWL8e" + }, + "source": [ + "## Quantum SVM" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": { + "id": "ivKbWhM8qFqD" + }, + "outputs": [], + "source": [ + "# # サンプル用\n", + "# training_dataset_size = 10\n", + "# testing_dataset_size = 5\n", + "\n", + "\n", + "# sample_Total, training_input, test_input, class_labels = breast_cancer(\n", + "# training_size=training_dataset_size, test_size=testing_dataset_size,\n", + "# n=feature_dim, plot_data=True # ,gap=0.3 # breast_cancer使用時はgapパラメータを削除\n", + "# )\n", + "\n", + "# training_input_pi_normalized = {k:(v+1)*np.pi for k,v in training_input.items()}\n", + "# test_input_pi_normalized = {k:(v+1)*np.pi for k,v in test_input.items()} \n", + "# # Predict 50x50 mesh to visualize boundary\n", + "# (train_for_pred, _), _ = split_dataset_to_data_and_labels(training_input_pi_normalized)\n", + "# (test_for_pred, _), _ = split_dataset_to_data_and_labels(test_input_pi_normalized)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "AS2BdH7sr-vR" + }, + "source": [ + "### Without Hyper Parameter Tuning" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 384 + }, + "id": "-zbxM0n8WL8f", + "outputId": "9afbd474-a3dc-4d83-fe2b-2aac3dcb989a" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "kernel matrix during the training:\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "testing success ratio: 0.61\n", + "result: ['B', 'B', 'A', 'A', 'A', 'A', 'A', 'B', 'A', 'A', 'B', 'B', 'A', 'A', 'B', 'B', 'B', 'B', 'B', 'A', 'B', 'A', 'A', 'B', 'A', 'B', 'B', 'B', 'A', 'A', 'B', 'A', 'B', 'A', 'B', 'A', 'A', 'B', 'A', 'B', 'B', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'A', 'A', 'A', 'B', 'A', 'B', 'B', 'A', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'A', 'A', 'B', 'A', 'B', 'A', 'B', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'B', 'A', 'A', 'B', 'A', 'A', 'B', 'B', 'B', 'B', 'A', 'B', 'B', 'A', 'A', 'B', 'B', 'B', 'B', 'A']\n", + "truth : ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B']\n", + "{'accuracy': 0.61, 'precision': 0.62, 'recall': 0.56, 'specificity': 0.66, 'F1-measure': 0.59}\n", + "CPU times: user 4min 56s, sys: 3.04 s, total: 4min 59s\n", + "Wall time: 8min 52s\n" + ] + } + ], + "source": [ + "%%time\n", + "# evaluation without hyper paramter\n", + "# Wall time: 9.47 s for train_size = 20 test_size = 10\n", + "os.environ['QISKIT_IN_PARALLEL'] = 'TRUE'\n", + "backend = BasicAer.get_backend('qasm_simulator')\n", + "feature_map = ZZFeatureMap(feature_dim, reps=2)\n", + "svm = QSVM(feature_map, training_input_pi_normalized, test_input_pi_normalized, None) # the data for prediction can be fed later.\n", + "svm.random_seed = seed\n", + "quantum_instance = QuantumInstance(backend, shots=shots, seed_simulator=seed, seed_transpiler=seed)\n", + "result = svm.run(quantum_instance)\n", + "print(\"kernel matrix during the training:\")\n", + "kernel_matrix = result['kernel_matrix_training']\n", + "img = plt.imshow(np.asmatrix(kernel_matrix),interpolation='nearest',origin='upper',cmap='bone_r')\n", + "plt.show()\n", + "\n", + "print(\"testing success ratio: \", result['testing_accuracy'])\n", + "\n", + "train_result = svm.predict(train_for_pred)\n", + "test_result = svm.predict(test_for_pred)\n", + "\n", + "# モデル評価\n", + "eval_input = [\"A\" if x == 0 else \"B\" for x in test_result]\n", + "eval_model(eval_input)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000, + "referenced_widgets": [ + "0e6639d89c0f41d698f861379045cfd7", + "dc711257665a47479cb0a65e778bf9de", + "5d734a591804455294d879a01557a4aa", + "bfa19be6d6e54795841e5274919bb811", + "26c2f3cc19ca4293b39e9009d738906b", + "2ef2dc5bb67648eb8555e085145a1c09", + "ec191038a277406cbadea1d3525f6a0f", + "fdc8a6f3b5c44bec97b20856826f2fc8" + ] + }, + "id": "AsSrft_DdRth", + "outputId": "29921c9c-c185-44c0-e07e-d4d4cb9c000d" + }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "5352eb4dec3342048e81e1ab64b875eb", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(IntProgress(value=0, max=153), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "epoch 0 has done [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0]\n", + "epoch 1 has done [1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0]\n", + "epoch 2 has done [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 3 has done [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0]\n", + "epoch 4 has done [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]\n", + "epoch 5 has done [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0]\n", + "epoch 6 has done [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0]\n", + "epoch 7 has done [1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0]\n", + "epoch 8 has done [1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0]\n", + "epoch 9 has done [0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0]\n", + "epoch 10 has done [1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0]\n", + "epoch 11 has done [0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1]\n", + "epoch 12 has done [0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0]\n", + "epoch 13 has done [1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1]\n", + "epoch 14 has done [1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 15 has done [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1]\n", + "epoch 16 has done [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1]\n", + "epoch 17 has done [1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1]\n", + "epoch 18 has done [1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n" + ] + } + ], + "source": [ + "# 時間かけてでもjupyter上で実行したい場合は以下のコードで実行可能\n", + "os.environ['QISKIT_IN_PARALLEL'] = 'TRUE'\n", + "(iter_num, input_size) = (51*3, 17)\n", + "mesh_list_iter = np.array(mesh_list).reshape(iter_num, input_size, feature_dim)\n", + "\n", + "mesh_predict_tmp_br = []\n", + "for i, iter_list in enumerate(tqdm(mesh_list_iter)):\n", + " tmp_list = svm.predict(iter_list)\n", + " mesh_predict_tmp_br.append(tmp_list)\n", + " print(\"epoch \", i, \" has done \",list(tmp_list))\n", + "\n", + "mesh_predict_result_bc = np.array(mesh_predict_tmp_br).reshape(-1)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 446 + }, + "id": "3XyFsItxdE0I", + "outputId": "ae574c18-0b62-4fa1-defc-9227554ebb99" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(7, 7))\n", + "heatmap(mesh_predict_result_bc)\n", + "scatter_data(train_for_pred, test_for_pred, train_result, test_result ,yshift=-0.014)\n", + "plt.show()\n", + "\n", + "# 赤がA、青がBのラベル。●が訓練データで、■がテストデータ" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "kernel matrix during the training:\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "testing success ratio: 0.61\n" + ] + } + ], + "source": [ + "# sample_Total_tmp, training_input_tmp, test_input_tmp, class_labels_tmp = breast_cancer(\n", + "# training_size=training_dataset_size, test_size=testing_dataset_size,\n", + "# n=feature_dim, plot_data=True # ,gap=0.3 # breast_cancer使用時はgapパラメータを削除\n", + "# )\n", + "# training_input_pi_normalized_tmp = {k:(v+1)*np.pi for k,v in training_input_tmp.items()}\n", + "# test_input_pi_normalized_tmp = {k:(v+1)*np.pi for k,v in test_input_tmp.items()} \n", + "\n", + "# # Predict 50x50 mesh to visualize boundary\n", + "# (train_for_pred_tmp, _), _ = split_dataset_to_data_and_labels(training_input_pi_normalized_tmp)\n", + "# (test_for_pred_tmp, _), _ = split_dataset_to_data_and_labels(test_input_pi_normalized_tmp)\n", + "\n", + "\n", + "# svm_tmp = QSVM(feature_map, training_input_pi_normalized_tmp, test_input_pi_normalized_tmp, None) # the data for prediction can be fed later.\n", + "# svm_tmp.random_seed = seed\n", + "# quantum_instance = QuantumInstance(backend, shots=shots, seed_simulator=seed, seed_transpiler=seed)\n", + "# result_tmp = svm_tmp.run(quantum_instance)\n", + "# print(\"kernel matrix during the training:\")\n", + "# kernel_matrix_tmp = result_tmp['kernel_matrix_training']\n", + "# img = plt.imshow(np.asmatrix(kernel_matrix_tmp),interpolation='nearest',origin='upper',cmap='bone_r')\n", + "# plt.show()\n", + "\n", + "# print(\"testing success ratio: \", result_tmp['testing_accuracy'])\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [], + "source": [ + "train_result_tmp = svm_tmp.predict(train_for_pred_tmp)\n", + "test_result_tmp = svm_tmp.predict(test_for_pred_tmp)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(7, 7))\n", + "heatmap(mesh_predict_result_bc)\n", + "scatter_data(train_for_pred_tmp, test_for_pred_tmp, train_result_tmp, test_result_tmp ,yshift=-0.084)\n", + "plt.show()\n", + "\n", + "# 赤がA、青がBのラベル。●が訓練データで、■がテストデータ" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(7, 7))\n", + "heatmap(mesh_predict_result_bc)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zTN2AYJyv5qV" + }, + "source": [ + "### With Hyper Parameter Tuning" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Iv-NwGSahURk", + "outputId": "5050326b-9650-4f90-e679-f077bf607412" + }, + "outputs": [], + "source": [ + "%%time \n", + "\n", + "os.environ['QISKIT_IN_PARALLEL'] = 'TRUE'\n", + "space = {\n", + " \"rep\": hp.choice(\"rep\", range(1,10)),\n", + " \"lambda2\": hp.loguniform(\"lambda2\", np.log(0.001), np.log(10))\n", + "}\n", + "\n", + "max_evals= 25\n", + "trials = Trials()\n", + "rstate = np.random.RandomState(seed)\n", + "history_q = []\n", + "fmin(functools.partial(score_quantum,train_in=training_input_pi_normalized),\n", + " space, algo=tpe.suggest, trials=trials, max_evals=max_evals, rstate=rstate)\n", + "\n", + "history_q = sorted(history_q, key=lambda tpl: tpl[1])\n", + "best = history_q[0]\n", + "print(f\"best prames:{best[0]}, score:{best[1]:.4f}\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[({'lambda2': 0.4951750794573975, 'rep': 1}, 0.16500000000000004),\n", + " ({'lambda2': 0.4109546561543689, 'rep': 1}, 0.16999999999999993),\n", + " ({'lambda2': 0.456637788201451, 'rep': 1}, 0.16999999999999993),\n", + " ({'lambda2': 3.416951188980379, 'rep': 1}, 0.17999999999999994),\n", + " ({'lambda2': 4.470537128310589, 'rep': 1}, 0.18500000000000005),\n", + " ({'lambda2': 5.706840987057058, 'rep': 1}, 0.18999999999999995),\n", + " ({'lambda2': 9.555135575112494, 'rep': 1}, 0.19999999999999996),\n", + " ({'lambda2': 0.013595255614011417, 'rep': 1}, 0.20999999999999996),\n", + " ({'lambda2': 0.9779963058616321, 'rep': 6}, 0.28500000000000003),\n", + " ({'lambda2': 1.1842655043593648, 'rep': 6}, 0.28500000000000003),\n", + " ({'lambda2': 3.0628801873477514, 'rep': 2}, 0.29000000000000004),\n", + " ({'lambda2': 0.9744337603714344, 'rep': 5}, 0.29999999999999993),\n", + " ({'lambda2': 0.5598353664679434, 'rep': 4}, 0.31499999999999995),\n", + " ({'lambda2': 0.04223352475962893, 'rep': 7}, 0.32999999999999996),\n", + " ({'lambda2': 0.007272965001694547, 'rep': 3}, 0.345),\n", + " ({'lambda2': 0.18345409505505353, 'rep': 9}, 0.345),\n", + " ({'lambda2': 0.09404510544401405, 'rep': 9}, 0.35),\n", + " ({'lambda2': 0.04297649232546777, 'rep': 4}, 0.355),\n", + " ({'lambda2': 0.3379856787135712, 'rep': 9}, 0.375),\n", + " ({'lambda2': 0.22068563028667662, 'rep': 8}, 0.4),\n", + " ({'lambda2': 0.0020865530397624916, 'rep': 3}, 0.41000000000000003),\n", + " ({'lambda2': 0.01273526288892435, 'rep': 9}, 0.41500000000000004),\n", + " ({'lambda2': 0.004659404373567989, 'rep': 9}, 0.42500000000000004),\n", + " ({'lambda2': 0.0054290416619287634, 'rep': 7}, 0.42500000000000004),\n", + " ({'lambda2': 0.003373871959499393, 'rep': 6}, 0.45499999999999996)]" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "history_q" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 384 + }, + "id": "ewc6NYa1lNZz", + "outputId": "2ee5145b-d2bb-4261-b55b-1dbc10799f61" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "kernel matrix during the training:\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "testing success ratio: 0.77\n", + "result: ['B', 'A', 'A', 'A', 'A', 'B', 'B', 'A', 'B', 'A', 'B', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'A', 'A', 'A', 'A', 'A', 'B', 'A', 'B', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'A', 'B', 'B', 'B', 'A', 'B', 'A', 'B', 'B', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'B', 'A', 'B', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'B', 'A']\n", + "truth : ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B']\n", + "{'accuracy': 0.77, 'precision': 0.79, 'recall': 0.74, 'specificity': 0.8, 'F1-measure': 0.76}\n", + "CPU times: user 7min 27s, sys: 1.81 s, total: 7min 29s\n", + "Wall time: 12min 21s\n" + ] + } + ], + "source": [ + "%%time\n", + "\n", + "# evaluate test data with tunned hyper parameter\n", + "lambda2 = history_q[0][0][\"lambda2\"]\n", + "rep = history_q[0][0][\"rep\"]\n", + "rep,lambda2\n", + "\n", + "# Wall time: 9.47 s for train_size = 20 test_size = 10\n", + "os.environ['QISKIT_IN_PARALLEL'] = 'TRUE'\n", + "backend = BasicAer.get_backend('qasm_simulator')\n", + "feature_map = ZZFeatureMap(feature_dim, reps=rep)\n", + "svm_opt = QSVM(feature_map, training_input_pi_normalized, test_input_pi_normalized, None, lambda2=lambda2) # the data for prediction can be fed later.\n", + "svm_opt.random_seed = seed\n", + "quantum_instance = QuantumInstance(backend, shots=shots, seed_simulator=seed, seed_transpiler=seed)\n", + "result = svm_opt.run(quantum_instance)\n", + "print(\"kernel matrix during the training:\")\n", + "kernel_matrix = result['kernel_matrix_training']\n", + "img = plt.imshow(np.asmatrix(kernel_matrix),interpolation='nearest',origin='upper',cmap='bone_r')\n", + "plt.show()\n", + "\n", + "print(\"testing success ratio: \", result['testing_accuracy'])\n", + "\n", + "train_result = svm_opt.predict(train_for_pred)\n", + "test_result = svm_opt.predict(test_for_pred)\n", + "\n", + "# モデル評価\n", + "eval_input = [\"A\" if x == 0 else \"B\" for x in test_result]\n", + "eval_model(eval_input)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000, + "referenced_widgets": [ + "5b2e479dd1744ee39050ad2a0c2ca768", + "f4617bb52ebb4f1eaf99e803e7ac5023", + "10e48c1c21134afc9f236090578eb2d8", + "8d28d00050a54cb681cf8112c2e88c51", + "a9ebbb4d9ff743e1bef0e891d8ee176a", + "e8a9d61135f34f09b8c1ec44ead92bae", + "28c4a2ee2e1741eebd6f8a7e048dd52a", + "b7a1dbdf5441458ea819c65a7c102f18" + ] + }, + "id": "buOadEseZpRA", + "outputId": "e3946a66-45b4-4a09-c7f4-97f3d5452fb0" + }, + "outputs": [], + "source": [ + "# 時間かけてでもjupyter上で実行したい場合は以下のコードで実行可能\n", + "os.environ['QISKIT_IN_PARALLEL'] = 'TRUE'\n", + "(iter_num, input_size) = (51*3, 17)\n", + "mesh_list_iter = np.array(mesh_list).reshape(iter_num, input_size, feature_dim)\n", + "\n", + "mesh_predict_tmp_opt_param = []\n", + "for i, iter_list in enumerate(tqdm(mesh_list_iter)):\n", + " tmp_list = svm_opt.predict(iter_list)\n", + " mesh_predict_tmp_opt_param.append(tmp_list)\n", + " print(\"epoch \", i, \" has done \",list(tmp_list))\n", + "\n", + "mesh_predict_result_bc_opt = np.array(mesh_predict_tmp_opt_param).reshape(-1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 446 + }, + "id": "hFyXouDbmnH-", + "outputId": "9f5c97d9-f5c8-44ee-e1da-10d35e00bd4b" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(7, 7))\n", + "heatmap(mesh_predict_result_bc_opt)\n", + "scatter_data(train_for_pred, test_for_pred, train_result, test_result ,yshift=-0.014)\n", + "plt.show()\n", + "\n", + "# 赤がA、青がBのラベル。●が訓練データで、■がテストデータ" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": true, + "id": "q1doneoeON_G", + "jupyter": { + "outputs_hidden": true + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[({'lambda2': 0.4951750794573975, 'rep': 1}, 0.16500000000000004),\n", + " ({'lambda2': 0.4109546561543689, 'rep': 1}, 0.16999999999999993),\n", + " ({'lambda2': 0.456637788201451, 'rep': 1}, 0.16999999999999993),\n", + " ({'lambda2': 3.416951188980379, 'rep': 1}, 0.17999999999999994),\n", + " ({'lambda2': 4.470537128310589, 'rep': 1}, 0.18500000000000005),\n", + " ({'lambda2': 5.706840987057058, 'rep': 1}, 0.18999999999999995),\n", + " ({'lambda2': 9.555135575112494, 'rep': 1}, 0.19999999999999996),\n", + " ({'lambda2': 0.013595255614011417, 'rep': 1}, 0.20999999999999996),\n", + " ({'lambda2': 0.9779963058616321, 'rep': 6}, 0.28500000000000003),\n", + " ({'lambda2': 1.1842655043593648, 'rep': 6}, 0.28500000000000003),\n", + " ({'lambda2': 3.0628801873477514, 'rep': 2}, 0.29000000000000004),\n", + " ({'lambda2': 0.9744337603714344, 'rep': 5}, 0.29999999999999993),\n", + " ({'lambda2': 0.5598353664679434, 'rep': 4}, 0.31499999999999995),\n", + " ({'lambda2': 0.04223352475962893, 'rep': 7}, 0.32999999999999996),\n", + " ({'lambda2': 0.007272965001694547, 'rep': 3}, 0.345),\n", + " ({'lambda2': 0.18345409505505353, 'rep': 9}, 0.345),\n", + " ({'lambda2': 0.09404510544401405, 'rep': 9}, 0.35),\n", + " ({'lambda2': 0.04297649232546777, 'rep': 4}, 0.355),\n", + " ({'lambda2': 0.3379856787135712, 'rep': 9}, 0.375),\n", + " ({'lambda2': 0.22068563028667662, 'rep': 8}, 0.4),\n", + " ({'lambda2': 0.0020865530397624916, 'rep': 3}, 0.41000000000000003),\n", + " ({'lambda2': 0.01273526288892435, 'rep': 9}, 0.41500000000000004),\n", + " ({'lambda2': 0.004659404373567989, 'rep': 9}, 0.42500000000000004),\n", + " ({'lambda2': 0.0054290416619287634, 'rep': 7}, 0.42500000000000004),\n", + " ({'lambda2': 0.003373871959499393, 'rep': 6}, 0.45499999999999996)]" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "history_q" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 446 + }, + "id": "eXrfRfPcOjES", + "outputId": "c59085db-d24f-4aec-89ae-433331f0f845" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# ハイパラ調整前\n", + "plt.figure(figsize=(7, 7))\n", + "heatmap(mesh_predict_result_bc)\n", + "scatter_data(train_for_pred, test_for_pred, train_result, test_result ,yshift=-0.014)\n", + "plt.show()\n", + "\n", + "# 赤がA、青がBのラベル。●が訓練データで、■がテストデータ" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [], + "source": [ + "# history_q\n", + "history_q_tmp = {'lambda2': 0.4951750794573975, 'rep': 1}" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 202 + }, + "id": "DRCDMdE1cx1N", + "outputId": "d108b3a8-0c58-4a7f-d5b0-078cf33cb931" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "kernel matrix during the training:\n" + ] + }, + { + "data": { + "image/png": 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itNoq0ktLGdG5MwOjo9G0tHD67gOC/L0J8/KiskYDgN5kIiEoiFOPH+Pt7MyQgd0RiUR8v+8Yr00dy+28PBKCgghwdQUgwtuHzPIK3BwcKK6tJdjd/V+237+lJfk/RWLXrsLJCxc4eeMenr7uFGUV887sqQCYLWZu5uZiaCeNon198Xdz4/C9e4xK7IK6oZEgd3dKNbbN+3DFNySPTmZov67ojSbaTCbiAwOxVyi4X1SEh4MD/q6uSNsJnEfFxez79QQvvPw8NU1NxPr7k1VRQay/P5G+vlzOysIqCDS2R7VenTrxVK2mX2QkRouFivp6ov38qG5sJK+qit4REbYo2NpKmJcXAOVaLY5KBa72DpRqNOiNRhyUSnQGA3YKBbVNTfQIC+NBcTEAmpYWPB0dKahQMzypC0qZDJFIhLa1BT8XV95c/hUbN7zN7tMXAejfIwE3e3vO3nvIsG5dUDc28t6rH3D01E627DhAv+E9cVSpaGg3Kn83Nxp1OqJ8fTid+oiZgwegbmhAKpFgJ5eTVlpKnL8/r7z0LgA7fv8MpUyGIAik3L5HVHAAmz/YwYeblqJtaSHE05M7+fkUZ9lK1omjBlLf0oLRYkEQBPpFRVGm0XD6ZirThg3gSnY2/aOiELcTpSq5HJPFwrWcHGL8/Qlt/7zk8HAMJhM7jpyhX3ICVY2NAHQOCKCyoYGW9qju5eREm8lEi15PkLs7Xk5OfPrVL8xfYKv3LVYrtzKyubL/CuNeH4uviwv+bm642tlx8NIN/AO9qK1r4FbKLc6k7AJg45+78XN1RRAEHJRK4gMDySgr48bddOaMH8Gj4mIMZnOH0YqlYgI83IkNCMDdwYGC6mpa9HosVitPCkpIigpHEAR07ZzFb98cJKZXDD6hPvSOisTN3h47uRypRML3f55kYK9E8qur8XWxke/J4eGU19ejbW1lzeKvmL9uLo9vPWHc2IEd2Y2jUkl5fT0AI7t0Ia+qirNX7zGkXzc8HR3xc3V9IAhC9/8/e3ymaHyGZ3iGf8K/hVNoamtDKpEQEuJHiIcHffokYraYMVvMSCVSrl26T5vRyL2baUx8fiYtej1+rq6Uaeqp1GoZP/YNNn21i01f7WLDNyvo2T2OBVOWcOX6A9Ke5HEtJ4dtR05x/fpD3ln4OYF+oTjaO+Jo74i7oyPvrpiN2Wrl+tGbvDTqZa4fvcm+/WdpMxppNRgoLq5kXNeujOvalcVzPuxYr6NSSXVjI+5uPpy8eY/HablUarWoGxowmM1s2LqHDVv3EO3ry/afj3D8bioXr98nwseHBp2O+tZWftr2JyU1tYhEIhKDg0kMDib/SSEF6iq6RoTh7exMWX09gd4BtBoMHL1/n8XvzGTuK2vwC/LGL8ibVoOBuwUFRAT70y+pH9G+vvy4dxNisZhZM8bQPyqKaF9fLh+/yeXjNzFbLOhNJq7lPKVrZDiffv87VQ0NjB4yhWOp9zl56CI/HzrN+h9Wsf6HVfTrNohjd1KpamwkIsifhKAgNm9bRbSvL+He3kjEYpzt7LBarLaf/9Kqc3dw4MVJy2nWtzGwewJtRiNdQ0Lo3XUwMqkUmVRKi15PbXMzR7YdJ9DNDU1zM/cfZaM3GalpamLW2GF0DQ1laFwcQ+PibESrxYJ/ewlz7PgVAt3cGBQTw4/f7afVYGDMlKFIJRKkEgk/bz9MZX4lM5dPpU9EBDF+fvy6+zhKmYySrBJ8nV3o2zmGCfNGU1icRWFxFjKplKdFZbQaDIhEoo573rtHZ16d/SHh3t74uLgwfWA/pg/sh765DZVCQaVWS6NOh7+bG1euPyDc25sesZH88NUewry80JtM6E0mZi+dwosjBzIoLpaZE16j1WCgqrGR2uZmNJUaPnzza0I8PMjMLyYzv5gJ4xfTotfzydvf8vmPK2kzGhk/bhBnzt+ie2goG1f+gI+LCy16PS16PYuXb+CjFd8yflgfVDIZ1e1Z1r+Cv4to/B/BarHS3NZG38hIbuflMTg2lpu5NpLuk+9389GSOdzJfcrkJfMYOHAaZ9LSmJyczJa9R3H3daPf+AGseNVWbojFYnxdXJDJFFSX1LB86ctUNTTgrFIRHxjIX3tP8dG2bZQ/LQfAxc4OZzs7LmY84f6163TrNZj7165z8vzvpNxL5eFfD/nwvXkU1NhYaZFIQqSvLxllZcQHBqLV6fjhVApju3VFKhZzNSeHrIx8nhvYk7LsUgCqGxvxDvYmOiiAk4/yqWlqIqugBKPeSM79TKwWKzP696NIrQbgr71n2bjzI3ZuP8KypTOQSyTMnL+ScC9vVHIFVQ0N7PjlIxTt5NFPR88ilog4deERg4ZNpq65mYyyMgRB6CiB6pqauX3+MgAR3SNwcHHA3cGBgwfO8fL0UdxIz+KVlYuIDw7i10vb+eiH1VQ1NAAwY/ESIgL9UMhk7Nuegu/K2e17IcLb2RlBEAj38sLveVs9G+rpSZiXF8b2zkPnfnG42TugbW2lrr00io3t09FNSC0owM3BgaUfzCG3Ss3dzFwWvTiG6sZGvvl2L2tXzaeotpbmtjYAYttLDKlEQqNOx+pFM3lSXo6noyMb1r2JxWqloH1tAF+uXURZfT0GkwkHpRKFVEpc3ziUcjkvTh1BQlAQjTodFi8v8qtt93lUly7IpVJEIhEGk4njDx8yNimJ/Joaeo/rjZeTE74uLh3lQHJCDEHu7pzPyOCpWs2U5GTemjkJndGISibjs8/fxEGppEd7m/peQQGtBgNBHh68ufFdGnStHD12hejukYwbP4gpLw4nwseHpJAQAHJTc3F3dGTau1N4qq5iZJcu5FRW0q1XZ6QSCe9sWERJbS0Te9jayI8uP2btR6+jaW6moKYG6/+AJvi34BQSEhOFrfv28eHCj3j8+BKjxsxj7qoZgE0I4+fiQo/wTqSVllBcW8vzCQkYzGZ+P3uJV0cPR2c0snDexwDMeGcqKdtP8Nyc5+geFkavuO5kF2YyZvh0ysufsvfCcZ4WlRHo7w2As50dT/KKWDljFl/u2YW/nxcVlTXcO52KZ6An106co6wsh09++wEAkUTMq8OGk11eyqUHaexct5WZ776Go6sDZ34+y/fbP8BeoWDWrNUMmzkUgLQr6cxYMAFNczNxAf5UahuICwigV9fBzHn3bWZMGM6jkmJ2fPgLAKFxYfz0zVo+2f4rA/omYa9QUFZfj0QspltICC729uy/dZsfVm4E4PzFveiMRr7YtIsh4/vh6uCAk9ImStq27RDVxdUMmDIAdYHN6cydPoaETnHUaSp5bsRsTp2xkV67Ll7hhT7JbN5xgNheMUxOtrUMD969y9RevbhfWMjG1TsYvXA0XcNDqdQ2kP7oKb17JZAQFNTB9kvEIsI8bXxKYW0NYpG4g6gtqqrGycEeJ6WyI5vIyS7C0c0Rf28PZBIJZ1OuYmwz0ndsb07/epZXlkzGw9Gxo77WtLTg7+rKD/uPExgVyJ71eziS8g238/L4ds3PvPvF6yQGB5NXZWv/vff6Zyz4eB5B7h4c/vMvfMP9mDdmBJezsvBzdeHsxTsUZ5Ywf/EUSjV1AORnl3Bp30WCooNZ/cF8fj14mpmTnsNsteDh6MSP+44jCAKDB9pK9AA3N5QyGWX19Zw4eY2obhFcP3qTt5fPpEGn48KVe7j5udMp0Nah6dWpE60GA6/OXMOnW5fzoKCQrFtZKOwUTJk0nNSneTTWNZF1yzYZ8OHa1yiuqyPU05P6lha+3/QHC5ZOI8rXlwuZT/BwdCLY3Z1fD54G4PkRfTh7/haBkQH07xyDQirD383tX+IU/i2cQkhEpHD6ymVCPDxILSykT2QkV7KzAbh3M42Pl8wjNT+XrqFhjBw5n1mrX2FycjLbT5xDYaegtqyWJTMmALboJRGLGfn8POL7JPHe269QVFtLm9FIl+Bgxo+cy4uLp1PZbiBvv/ESzu1ioW9XfE14dCwFOVkcPbWTs2npZFzPYOWSmR1E5vp3v2PdxqU0tbXRJSiIqzk51DU1MzKxC3ZyOecyMsjNKGDSqIF8/snPAHz40UL2n7xE3z6JnDxymenTR3L7SQ4SqYRT207iG+7Hls/f6ohSK1//gq+2rWL79j9ZuHAygiCwdctevv50CZVaLblVVXQPDUXV3lbd9ucpALLvZGPQGVi5bgEPCgrpEhpCnL8/V7KzqWtuZueH2wGYvOwlfHw9kIjE3L+RzksvjuDy/TT0OgN9undm3dKveeuLRTS2R+ZH19MZNrIPge5ufPPNXhYtnobBbCLC2wex2FaB5lVV0dYeNROCghAEAZPFjNFs4Yc9KcydOpr6dsfg7ujImws+5cD+DQDczM3F2c4Os8WCvULBvbx8pvbpjaalhW9+3M+yN17CYDLRrLetJ8bPH6PZjEQspkWvx9nOjpzKSoI8PFC0KxyvPX1Kn4hOAMgkUgprajBaLAS6uaGQSjmdlsYL3btzv7CQxOBgWg0GKhu0WKw2ewjz8sJeobCpFi0WzmVkMCwujrzqaq7fS2PBBFvr7x9kZ1l9PUHu7tzJz0dvMjGua1esgoDRbKJS24CDUomHoyOt7UrNazk5BLi5Ee3ry7GHD0kIDOTMxdtExofj7eSEvVJBuJd3Rytx7aZfWLJgMlezc7BYrYztmkR6WTk6g4E+ERGkFhbiYm9PhLct2H21Yz9zp4+hUaejoKYGlVzOiPj4/xyiUSaXEeXri7qxEa1Oh95kItrXl2hfX1J+/oOBA6dRXFvLyJHzOXlyG1F+fmRVVNCkaaJzaBBnfz/OzdxcbubmIpVI0JuMXLu6HzdfN3Krqgj19EQmlZJeWkp4dAx//f4XKbt+I2XXb1gEoV0SrUajqeRx6k3q6irIrKhgUGwM6gI1xbW1OCmVOCmVnDy+jVKNhhh/f0QiEU/S8zj7y1lMFjMFNTX0DA8nuVcCGWXlXDl7lCtnj+KkUiG0HzY3Pzdi/P2JDQ+m+Ekxd+6cIKxLGJqWZpzbS5nKynwyKyoIiAxoVyO2krL3Z47ev8/9oiLCvLy4mJlJXXMzdc3NdO8WS6eYYJw9nLny159E+/nh7GCPl5MTVkHAw9GRIA8PCgoeUVDwiKiwIEoKKvBxcUEql3L2+j36JXXm8cVHeDo5kZFxjaZ2Jj/I3Z27Z2/ibGdHsIcnUpkUb2dnYvz8aWzTUVJXx/2iIiRiMUaLBaPFQmphIYU1NeRUqrlfVMQf33yPm7092e2G+7ikhOMp35FXVUVeVRXhXl6EenryVK3G2c6OLqEh5FdXozcZCYoJwlmlwkmlQiwSIxaJeapWU9PUhKalhcclJTwuKaFCq8VitXInP5+CmhrMFgtKmRylTM7dggJa9Hq8nJwoqK4mq6KCR1fSKKqtpaa5Ca1OR6lGg4udPZ0DAugcYONvciorKW7/fmFentwvKiKvqorL+66QX12NpqUFlVyOSi6nTKMhvbSUjIdPifDx5qlazVN1JXKpjCfl5aSVlpJXVUWlVkulVotKLqeTtzcCAndP3iHE0wMndyeSgoPR6nTcy86j1WAgv7qa/OpqTv9xAGeVHWnXM5BJpeRX11BaV0fa46e0GgxkZBXwtLISTUsLmpYWjvz8G3cLCsirribI3Z2MtNx/2R7/LTIFFxcvoVevcazavJx+UVHczM2lX5RNd9+i13Om3asfe/CAKD8/EoNDOJeexvkjV+k+oht2CjkR3j6ALVMoqavD39WVAwfPsWzBVLb8dJCVb0ynWW/oOIT/EJF8/PlPTJo1isTg4PZ+shmFVEpJXR09w8MxWSwYzWbWffA9AG+snEmsvz+xUd344MfN9IyLopO3F78cP09EVAjLpsyn94BRLHx3Rod6LT44iMOHL1DwuAC/cD8++2AhZ9PTiA8IpEKr5drVBwTFBNEnKqJjT7ycnKhrbmH25KX8ceQ7RCIRdwsKGBAV1REZ/xGZ76XncGH3Bbb/9lGHMRfX1jJt9Ct8sWsj3UNDbbr79qimbmggMTiYS1lZjOrSBZPFzNvvbmbWokmkPshiWP9u/LbzGOvffw2AHLWa/OpqatUaZowYxJyZq9nx60ecz8igtrwWlaMdw7sn4tfeIz94+w6BHu6YLBaKytQE+XujlMmlprNGAAAgAElEQVR4WlSGnaMdtWW1jBjQg0dFxQBYTGbC/X3pHRHBqvU/MnR8fxyUSrydnSmorkYll3P49zPUldtS+wXvvYxELOZpSTnaai2D+nblg9fXs+SLxQR7eNCk1+Ph4MD9oiIAEgIDifDxwWQxs+3QKaxmK/Yu9rh5u/JC9+4cvX+f+motU4b27xAjPSouprGtjbqmZlQKOVptE/aOdkja5yFK88px93UnzN927mqbm5FJJKRsP8HgGUNorm+me3wUj7LykcgkTOrfm9+Onacy3ybsfevN6Xg7O3MrL4/OAQFcePIEdUk1yV1jiQ8MRCaVcurx4w6RXV1TM26ODkT5+tDUpsdZpeJOfj4NtY04uDrwUt8+vDT9PRZ/NBeAwooqJvTuyR9nLzN79FDmzl7Lwf0b/oPKh8goITMjjYKaWkI9Pdl18i+8A201qZ+rK70jImg1GHBUKsmqqKBCq2VkYhKnHz1kUEwMZ9PTifSx3RyZVMqJi7cYMaAH2ZWVRPv62qJkdTXOdipkEilXs7IJ8bKJTlzt7WkzGkkMDkbd0MCd/Hx6derEjl0peAV68toLo7iTn0+fCJvBPlWr8XF2pqmtDYPZjJeTE+mlpUT5+fHTnuOMHNkXR5UKO7m8Q2zjYmfHn2ev0tbURliXMA5vOsz+gxuwWq3UNjfToGtFKv5/horcHWwDMgqZjKa2Nhp1Osrq63FUKpFKxPyy4yiz579AeXtJMzQujjPp6YxNSuJKdjZbP9jB21+8jrezMzefZDOxby9UMlkHKeagVCJuJ9AUMhmPiosJ8/Ji1/G/ePWF5zFbLGzefgClgxIAnxAfJg/ow5adh1i9aCYWq5XbeXmU1WkYlZRIo07HtSdZ9ImN7vh8wKYylMm4mJmJnVxO/+jo9r3sREFNbYd4ySoI1DY2MTKxC49LSmgzGnkuIYFz6ekEebhTqW1AIhZTWGozqMkD+1LV0ICPiwsSsZj6lhY+/Wg7yWOSGZjYGZVcTnppKT7tHITZYiHG35/00tKOWv7nI2eIiA0hwtsHP1dX7BUKrmRndxByA6KiaDUYcHNwoL49I0kMDsZgNnMlO5txXZOwCvDH+SsAGHQGZowewo+7U+g1MAl3BwfiAwMpr7dlIHZyOeqGBj5ebeOmBs8YwskfT/LO+tdsmUZ9PZ6OjjytVJMQHEiopycGk7lDxXk67TF2cgUquRypWEyEj4+NVzt6nrjECBKCgvjmu3189sFCAI6kpjI2KQmRSMTy97fg6OLAhjWL/nOcQmx8vPDFrl0EuLmRll/ErCED0bcPgpRp6jl9+Q5KeyUSiYQmTRM1pTUMf2EAzyUkUFRTQ8qFmwzp1w2AhtZW+kVF8cORU/TrHo+uXSjU2F6WdPL2wsXOnpI6W9Rxd3DAXqHgo093ED8wnj7xMdxKz2L+qBGs2biTspwyVn/6OkW1tQCcOXiJLoMScHVxYnRiIn16j+PMxf2Ua7V0Dgjg9OPHOKlUvDv7XZRK28RayumdNLSr4Rp0Opra2gh0c2PxnA9xcHJmybpX6RYSQm1zMwCbtuwhMDqQ6Lgw3B0c6BIURFppKWKRiISgIAxmM2aLpUNQ1WLQ09SmJ6e4jM5hwZitVrqFhPCwpITk8HCelJdjJ5fz667jAMybM56vN+xi7ZoFHLpwg/njniO1sJDE4CCqGpv4+vNf+HjdG7jY29avbW1BLBKz//xVrBYroREBuDvY6uNqbQOD4mJpMxoRtYuRfF2cMVmsqGQymvV6Nmz5HY8ADyaPGcT7yzbz3uevc/txFv26xgGwZNYqEnp3Y/7rk5k/5U1UKgeWff0WvcI7MWroNN77YR27P/0dVy83AH7ZsZbCmhpuZeUQHRSARRDYsuYnXln5En6ursQHBmIVBLb8fgSA0cP7YDSb8XFx4cbTpzZCsLSKPklx2Mnl3MnNw06lpH9UJEqZLTL/9eQJTioVdc3NvNizJ316jeXGrWMYzGZ2nfwLdz8PzEYTHq62DoeXkxMJQUF0CkvAzy+cz3Z+gdFiISezkKkjB1Gp1VKh1RLUriyMDwykuK6OAFdXnpSXs/WzXZxK+YWhw6fz6ea3MJhMPCoqxl5lc7D3Lz3CzknF4KHJJAUHs3TF16z/dDFnH6fhaG9HpI8P00fPZPUOm1T+yNYUVq5fiCAIGM1m5ox7haysm/85TsE/OExYvHo9i16eQE1T0z8pFCu1Wooqq5jWvy/7rt2kc2gQBTU1vNC9O5VaLWHePhRWV6Fu78MWVdcwqWcPbuXlcWzveTZ9spTuXUdw+95pRCIRj4qLsWKLHgCu9nZoW3V0Dghg94kLBIT7UVGkZt7458hRqzsMMbt92AcgwseHfdduAPDSgH7cyc/nxMGLfPbBQtZt/pWLh09y5uLejmscvHgduVJObHgwR/ae44MVc/B2daeuUUuZRsOyOR8weel0VE62qOBob8eEbt0YO/YNFnw8j60rt7Jm63uYLRY2rfyOlGPf8eHXO1n79hwA3F29mLNoNWKpmNHThtEjLAx7hYK0khKCPNzZtvsYFw+dZsnXywGYPeQ5Kmsr8XH35qs/9nH+t3NkZt5k95n9zBkzg5+O7UYqkdA9NBSAG0+fMnnAcD7f/SuNdU3EdYnAYDYT4uGB2WKhvP2wpxcUA2AxW1AXqHHxdiEqKoRO3l7czMmlb3Qk9woKiQ8MpEWv71DiWaxWFFIpucXl6Bp19O0ZT3FdHfnphQwZ3AOD2czpo1ewtncrDDoDAZEBdOsei7ezMzqDgca2NrydnWjWGzj8x1neXz6b736zOYUXXxjK1fvpBAR5Ex8QSKvBgJ+rK+mlpZTVaXBzdCAxOJicysqObO1pRSVdQkNoaG3laUEpMREh5JdV0js2CnuFgvrWVmqamvBrz0acVCquZecwumsSmeXlthJUo+HQ5sOs2bCY209y6BrdifhA2yyDyWxGKZfzsKgIdWMDOoORuAB/DCYzeVVVtDS24uXl1jE6nRgczKk79wkPsg0IVmjrUcrkKKRSimpreVJUQrfIcNJLbPMwIxO7cOxOKqN7dCXlxh0mD+qHq739fw7R6ObiyLuvTkUhlRLo5kZeVVUHyfX5W5sozy1HZzRSW1bLyvlrsVPIOZueTsqFmxRWVxHq5Y3JbMZkNuNkpyKzooId639n/sIXqWlq4sL1o9Q2N1OhrefeoyxS9p/nkze/4JM3v+DK3TRKamqpa25GYacg614OMoWNHIr29UXd0ICmuRkvJye8nJxYOvt9dEYj/TrH0ismivMZGRz85SRLFk0ju7KSZa9N5eKVA9zKzWXW1BXMmrqC6SMGERseDMC8+RNt9XVFKQ+Kitj4yU52HdxC19gIpvTuxZTevaiurKO8vp6df3xOYlAwyzYs5cvlWyirrWPUvLFYBYFOXTthaJ/rL1GXsuq9uby5ZDp//nQCuURCQ2srlQ0NZFdUsvK1l9h/bBt5aQXkpRWQXphDRX09t7IzeHFIXxIGJPAk6zZpWfmcunaCcyeuY7VaMVssmC0Wbl1/xNl715n7/DDGj+jHwOhoQjw8kErEuDs6oJBKcbW34+7JO9w9eQdPT1cGD+tJTHQoJrOZ5LgejEpKpFLbwNC4OBp0OpbMWIZMIkEmkRAfGEjX0FDunLjD+KF98HN1JdDNjf4DumK2Wgl0c+OtN6bx5sKpvLlwKuNeGs6wgT0I8fSgsa0NpVxGlbYBhVSG1Wpl5Iu2GZbXZ03g9VkT0JtMaCo0PLyRgVQiQUAgtlMCUomEY98dI9LXF5VczrmjV1HK5SjlcqID/HF3cCDE0xM/fy8C3FzxcHempqmJcF9/nFRKOnl74aBU4qBUMuvFJbg62PPRZzvwb+dWfF1c2LFzLXXNzbQ2tCKVSPhy+z6+3L6P+tZWBEHA382Nt6csYHjnzhTV1hLm5cWfmw7z5HoGUb6+HXYQ7hfEhL7JzBk1hZqmJtJKy6ioryc5aRD2CgUHvt7HlTuPifLzJcrPl6S4ZLTVWqqbGmnWtrD20+3/sj3+W2QK0Z07CyNfmM/lE8eYMHcWukYdC9p165u+2sXmz99i1qzV7N79KTdzczsILaPFQqvBgMlsZmBMLACPiotIOXaZwcOTcbG359WJCxgwahQWs4Wje37iu5Q9HPjmcMf02T/ajXt3n2T+/ElcfpjO4K4JvPv6l7z31SJKNRo2Lv2MSQttuon+fZP4bPm3LPp0PknBwWzd+SdXU87T2FhDp4iuvLZ2Ns4qFUcPXWDmzDGAbYIurbQUQRA6hD3qhgZSTl1lzMj+uNnb42Jvz+MS2+yAk0rFW7Pf59xfuziTlsbg2Fi27j7C6Of7YSeXE+LpSUxUD9zcbAM/Px/ehtFkIszLiwMXrzNt2ABaDQYEQeBc6iOGdksg1NOLzHKbYMvV3p6vN/9Oj5E9iPD2pqapyaboPHkbQRCYOWcc9zKfMvc5m85i3ZZf8QjwxGwyM3ZoH3bsOEx8/86E+/tyZO853nhjKhKRiN8P2sZ2X59law9LxGIadTo0LS206PXYKxTUNDUhFotpNRg6BrRyq9RIRGL+2HSQpWtfpaapiUUTXia/MJ17BQVk5RfTP7FzhxhJKZNR09TEujU/MG7eaKb1HUBTSyN38vMZ0jkend7G9zxp/76DO3dh4uSljFk4htSzqYTGh/Jc/x4IgsDh45fIuPYEkUjEpKUv4O9mK1E+WfIV9++fJcA/kks3j3Hj6VP6RkbSotdTrtVydN95KvIreG3VTAAUUimRvr5IxGKu5tja6a+NnsKF1KsIgsDEoRNZvvETojvZgsM/srCjqffJvZ9L8qAkHJRKWvR6sp8UcHTbXsKjO3P1wmEADl8+YftbXgmj+/Zg7ervWbH6VQAyysq4cuAKm758mxFDbef0l0NbGZY8lA0HdjIiPh47m7P7z8kUnuEZnuHfB/8WmUJCYqLw6OFDHpeUkF1eQVlOGRnXMgDY8M0KvJ2dOZOWxvMJtpQvr6oKqURCRX095Zp6nOxUBLR7+K6hYazb+htrFs2kqLaGvKpq/F1tjz3TGY10Cw0BoM1oG5Fdv+EXju/9jV9O7iXCxwdvZ2dbydCumqtsaKBco2FQ+0MqFDIZpx4/pn9UFFdzcnBUKgnz8kQhlXU8d6C8vp4bqenMHTsCsMmQZ44ZSlVjI/YKBV5OThy8cYu4kCASgoI6piNv300HYMrIQWSUlVFeWcP0If05/TiN0YmJSMRi7hYUAODh6NihZ69rbqZ7WCh38wuY0qsXeqOR80+e4GZvz86v95EwKAGJRMKsscMAOHLjDhHB/mh1OnR6A9H+flitVroEB5NeWkqkry8Nra0d6xqblMTFzEx6hodzJTubsUlJLF6+gS0bltNmMqEzGLiWk8Oe9bsB+PCbFVy+eh8XTxf6JcXhbGfHkQs3GD2oFxfuPmLKkH7YKxQdxOShO3cRi0XcOXUXNx83Ro/uj6alhQA3N5xUKh4WF3P1+E3s2zkX/4gA6irrmDR2MIHubhTU1PIwt4AxPbtRodWS2653uJByHYDZc8fz/Za93L5wnqu3T2Anl/P9nydZ9OIYpk55h3e/fIMwLy+eHzwZazsPtGzTarpHdkIQBHKrqpBKxCikMtzs7cmpqOSFnt0prq3rOMMbP9nJuAVjcFQqsVitjIiP52JmJnu++ZN31s7j+sMnzB01jG1HbEKzqOhQgj08+PW3Y7h6u+Lq5UJyQgxmi4WPlmxkwKSBJPeK75CyK+Vyzl+6a2vBjurNmYOXmLNgIinHLrN49kQ+2/gbcX3jcHFxBKB3RASn7z1gVM9uNLe1UVxX9y+Ll/4tZh+adG3cKyxk46ptKFRyDu3fxFe7DwA2pZiviwsp208w+sdE2owGSurqyHpSwJJp4zGZzWRWVJByzKbrX7f1N9a+OZvFsydSXFvHl8s2kHLqJz7eYOskrNu4lJtPsukWZVO7NdY0EBQUS2pqJv7PuXWUJ9NHTufnY7+haW5m9ZzlrPnpS8BmIHs27Me0fDIZtzMZM2YA17NyCPby5OXh49l1PoUYPz9GD0xG2d5jTruahkgs4v65+7y8bDKtBgMT+/TiclYWsf7+eDo6cic3j2uHrgIwYmAPzh26zNBJA7iUlUWUnx+FtTW42NkT6++PnVzOzbw83p9jG22+euMoN3JzkUmlZJSVIZNICHB15cr1B6Qc/B7PwI/oPqJbB7E3pncP9p68yLLpL7Bl71FeTO6JwWzmmz+O8sbUsTTp9Xy46js2bbY9gu6P6zd4eUB/HhYV0dDQzKnHj3n3/bk06/XUNTdjMJuZ1rs35pU2g1LIZMya+ByCIKBtbcVBqWThxFFkV1Yy+/khZFdWEuLpSXm9jUwe370rFqvtEXkDY2JQNzRQ3dhIcW0tkb6+jOzShWFxcR1S6UqtlphhA9C0NJNfXcPhwxcYPqovKrmMoymXGDisJ91CQxm0yubIl723iZdfewHvYO+O+ytT2Jz4uDfH4+XkxPE7qQweN7bjGY19YqM5cPQvuiTHEeXrS6C7O2UaDSq5jEAPd/Kra7BXKDq6CTKlnC5BgTgqVUjEYopra2nQ6di0eQWVWi2dwgIo1Wj47Qub3uXyjRQsViuHft7GT8f/oG9kJGarhbrmFsYvmkBEsD9hXl7cyc8HbOXGspkTOZKaipeTE6++NhERIsRiMTKplBETBxLl69uhQnVUKvD0cCGvqoqyOg3J7erOfwmCIPxf/wmJjBIsVquQU1kp7L56TdA0NwsZZaVCRlmp0Lv3BGHAgKnC/tu3heHD5wgKuUp4UlYmZJaXC1v/PCFcyswUpk1/T7iSlSVcycoSBEEQ6ltaBBAJy1ZvES5lZgoV9fXClaws4eKTJ8K06e8Jo0a9JnTuPEDo3HmA0NTWJlisVmHjnsOCv3+EEB6eJPj7Rwjn0tOFMo1GmPrSSuFWXp5QUV8vVNTXC66uPsKxBw+EFn2bYDSbhW8PHhNembdWqGlsFB4VFwt5VVXC/tu3hUuZmUJS0nAhKWm4oG5oEN77fJtwLj1dWPXFdsFssQhn0tKEDzf/IgQGxgjvfb5N0La2CrlqtZCrVgtxcf2EP+/dE9Zs2ikYTCYhtaBACAqKFc6lpwsnHj4U0kpLhaP37wt5VVVCXlWVcCQ1Vfj57AVhzsJ1go9PmGC2WIT9t28L9S0tgt5oFK5mZwvn0tMFP79Ogp9fJ+HYgwfCln0pwq28POG9z7cJO06fF27m5gqTp74j5FdXC/7+kcKvFy4LV7OzhavZ2ULfvhOF+4WFgtFsFl594xOhVa8XLFar0NTWJlRqtUJGWamQq1YLmeXlQmZ5ufC4pETIr64W0kpLhRtPnwoDBkwRDCaTcOLhQ6FVrxeuZmcLDg6uHXuqbmgQdAaDcC49XahpbBSelJUJhTXVQplGI3x/9JRgNJuF2qYm4UFRkfCgqEjIq6oSyjQaob6lRbiVlyc8KCoSzqWnC3qjUbiWkyPkV1cLJx4+FCxWq2CxWoVrOTlCdkWF0KJvE9JKS4XM8nJhy74UQd3QINzJyxO0ra1CWmmpoG1tFVr0bUKLvk2ob2kRciorhTKNRrhfWChkV1QIqQUFwrEHD4Q3VmwQimpqBE1zs2A0mwWj2SzcLywUbuXlCT+knBayKyqEMo1GyFWrBZ3BIJx+/Fi4lpMjlNbVCYU11UJhTbVw6tEjobapSahtahLWbd0l6I1G4eezF4QyjUZILSgQDt65IzS1tQlFNTVCUU2NMHz4HMFoNgub/jgi7L11S8hVq4U/790Tdl+9JrTo24RdV64KJx4+7PjMIUNeFs6lpwtn0tKEXLVa2HH6vADc/1fs8d+ifJDLlcKPJ04xsV8vCmtqMJjNyNtbMVeuP6C6pIaFCyfzww8HcPN1w9Cqp0v/BMK9vPjtp6PMX/hix3CNk0pJcW0dx/f9xTfr3ya1IJ8TJ66S2DeeSB8f1q34Fu9gb7xDbOKoYcN64e3sjEgkYvGcj9BoKvD0DCR5dC+Wz5nM1Zwc7BWKjifsnLqdSv/Ezhw+cZn+A7vRLTSEn4+eIyI6mAp1LX9u2U9e3n1ych9wNSen4ztOHzyShIRBXLt2kKJqNV9v2s27y1/h3IPHLJ8ynduZDzsGijIePmXmCyP4/ItfSB6TTJSfLwf2nGH9+691TAtqdboOwdabc9dx8+ZhXln0HuW55Wz8fiUSsZgLj9PpHBpMYU0N9TVaSnNs7SqDzsBbb05n596T+IT50L9LHAunL0cikTJs2igUdgoOfbeb7/ZuBuCD19czdNpzTBs7hP0nLjFkYHfbU46lUpxUStwdHPk/7L13VJR32+/7GRhmmBkYmKH3joAUBRTFAooau7HFaDQaY6LR9JiYmGaqMdEYkxhjjzXW2HsXGyoWQKTXodehDQxTzh83mffd6+zznue8++y9nmet57eWa7kERmbu+/79rut7fYuNtTUm8394RhtNZqQ9KsPsigpC3d2RS6U0d3Qgl0hYu/MwLzw7sueayZBJJDS0tZFZXs7g0FAqm5stbtXljY3kFJZy7+x9QNCSOMjllDc0EODiQkVTEz+t2cW8RVOQ2NigkstRSKW09JyaDW1teKoEg1290Ui3wUCHXo/BaMTNwYGi2loCXV2RiMVUNjUBgpxfbWeH0WTCxd4eXXc3MhsbbHpGgPIel+m/uSV9/PyQSyScz8xkcK9e1Le2YDILIOCzcXHkV1cjEYu59FBoEUfF9aGhrY3yHi9JR4WChtZWvNRqgTHZ0EBntx57W4FhWdfSQi9PTwxGI0aTCQe5HCuRiNqWFip7RsIHLqaSMqAvIDiI29rYEO7lhdFk4vDdu8xMTPzX4Sn0iow0f75xE9+88j5GkwEnJy++27YSgMdZ+UwbMYSo4CiyC7PIq64m3NOTquZmtDodA4KDqW1pYXyKIJ3+dvsPrHr7ez755SOUMhnxgUE8LClm/uRXyMm5w86rF7l3MZ2QWIGh6OXhQlGhhp2rNvD11u+oqmvA3VnNx/OXMef9RRQ9LuT31R+z/vgJAMIDfRkTn8ilh2lkFJZw41AqShcHXHxc2L9+M3tP78JLpebbNX8w/YXRABw5eJFe/XpRX1HP0EHCRYsPDOS5595n7vJZxAcEUlBTw+bvBSfewZMHsXzefHZdOo1ULKaPnx8n0x/QJzCA3l5emMxmvlm/ix1rfwSgoPARTyoquJedh1QuJdzby3KTrV+5E68QL0ZPGkpFzw0/JT6eIYOe5ebt4yz7Yj3ffbaYLoOBlet28sILY3lcWkb+g3yWL54NwE+7/mLB9LHcKyri3s3HOHu5MKhvBO2dXdy5/4QRg+PwcXKy4B3hnp6WSYHA87ehskmQYde1tiLp8Tn4u18urqvDRiymsVHLkKgILtx5QNrJNBZ9OIe0e1n0j+9NmIeHhd3X1N6Ova0tv/x5jMg+oSyft5R798/yqLSUV6ct4tDZXXirnSzS75SBo1n2y3cE+3py7dI9fMJ8mJAQT1FtLVqdjof3sinNLmXKvLEWwVL2gzyObtlLREwcP/30AUfv3mN8XCxdBgM21tbsPH6Bro4uJo4RDH3/nqYYzWYO3biNt7sLW7/dzaatn1PV3MymjYfo90w82nqBxfnSmBRadDpemrWMt79bgslspqqugc72TnoF+XLrxiNkdjJuHxfMfNdv+oRqbTNd3QYcFQo2bjzE/JefRSaRUFJXR1VzM1P792fFGkFp+/aiGaz4aiPDn0smMSQEZ3t7JGLx/15MQSQS+QA7AXfABGwym83rRCLRCuAVoK7nW5ebzebT/9VrtTS38uNbX/L26s+ZP3oELTqdBYRqam+nurmZp0VPKKqtJdTdnZ82H+D912ZRXFdHfOwoLqYeYejYsQB4qVQcPbWZVp2OTbuO8bCkmL7+ATS2tXIzLw8PR0dEI+NR97D1wjw9SQoL46VxIyiqq0UqFqO2U7Bh/6/4u7ignj6B+Yumcez4VQBmJg8mt6yAb1duZe7CyYz8Noazael8u2Qpx66f4rM311JXV87321cS36Od93x1OmfS0gmK8Ofk8WusePslkpNmcObCTiRiG956fzUzXpnIr79+BAjS46EZ90gvKiYnLYd0p2yGDu5LjVbLkaOX+fT1F7ly+AzrDv8BQEL/scQNSuKVt4SNsa+/Pzp9F/eLiti26XNK6uu5nP6YaUMTAZgxfSkXrx0iLDSe+xk3WP7N7xzctoENx/YQGxRCS1sL52S2WPcoIPvEh9M7JIY5i9/lrSUz+XjZz5jNZlSujtRp6iiuE0xiSnpoyN0GA/XaFhztBbZov8BAi4qxtlmLQmZLfEAAmeVC5WIrsUEhkZKR+4TjNU2MGNqP1IOpmM1mnhudxN7jFznbmIq1WKge/SL8sLaxpiy7DK8QL5LHj+fEw4fo9HqSxo3jTkEho6MVHDwrYDQvvPE6OWk5hPh5IVfKaW9uw97WluaODipq6il8VEhw32Ac5XKCeiz0Dq0/ysCRKbQ0tHAjNxcvZyfuFxfj7uiIj1ptYdZmRArvYXzfvtwpKCDQ1ZVAL3cKNVVYWVvx9ertTJ45iqaaJmrL63hpogA+G4xG1HZ2HD7yMycePkRvMBAbEojJLDhDN1Q20N7chsRWwKXkEgn3cwsJ8fHEyc6O/s/EYzSZcHdw4NyddDo7urjrVEhJlqD3cFQo0Ov02NvaUtHYaGEI/yPrfwVoNADvmc3mByKRyB5IF4lEf/tRrzWbzav/0ReytZOx//RO/jx0nhEpc4gflmjhcJcWanCQyVg043VWbf+e/Joali2eRX51Da2dndy+e5q61laMBgHk0un1fPn9VsZPH06fQVHMn/wKjW2tONkrGTx4KrFDBiKVSQmOFYCX2pYWpDY27F65l9e+mE9eQRmhwb789tk2bBVSIgb15tSOQxw6JezABbW1vDxlIVv/2sjRY1doaWjB2mGlthIAACAASURBVMaanWcP8u2y9Xz4wxKc7O3ZseckyukCRfWn73YQNiCMyoJKogdFsvy7jZy5sJPlX2xg2tyxLHpnFvdz8vnlU0FqPfW9afz87iqW/fop4yclobCVcicrl8SocN6cP43UnBzeXL2U1JPCKXLt5lFu5uXzpKQMfVc3R/+6zBfvzsfD0ZG1u/+iIr+CxPEDLCf5ll1fM++Fj8kveMCKtdv4/rMlfLz0Jb7+YRuNLU1cefqUm6fvWNyZb11Jp1yTx638fA6cvcbHXwn02fTiYpJGDxA4+1VVJEQJwJ7EWjCikfY4KxlNJppqm5kYG8u99GxSxiSTX11t8d3MyyikrbmN+KQ+uDs4sHPbMQZOGsjj7ALOFl4n+ZkBhHp4WPwUnlRUYDabsZ8up4+vLw/EggHKX/fuYTKZ8FKp6OzuJjJaqAYPbjzO1FcnEOzmhnigUKF06PVoOzqIDQ3C/gUFDnI5rkqlhdE4ZsEYCh8W0ntQb6J9fdl56Czzpo9BpVCg1elIGtGfxvZ2C+OwobWVKB8f5FIJO/efYWByLHHPxDFxxCA8VY70GdaHPtGhnM8UpmoJQUGcuXSNq/uvsWj5i9xPz6a5tpnsW9ksemMG7QntODk7UlYgMGlbOjsxdBtwkAuK0cepmUx6Ow5tRwfuni7Y2tjQPyiIgnnCptPW2UmvfqHEBwRQ2dyEt/ofN279b/MUzGZzldlsftDz91bgKUIy1P/nJbOx4UzqXbavWU1nZzt56bncLy7mfnExurZOQViiySXGzw+D0UhrZxcOchmd3d2IRCK6jQaO7N7Mkd2b6dDrKc8px2gyEeruTk7OHUF1OXgqqamHSJ4yFIPBSJdOT5dOT1iPI3BlZRESsRh7tT0SsZimphqSn0+muaaZnJw7HL6YyuGLqTS3t1Na+oT2ri4GJsdSnlNOvaaefVuOoynLx1YiQa1QUFVYZZGx9hneh8AwP7xCvAj39GTOnPHIJFLKc8ppaGvDR61mQEQvwgaEEzYgHF2bjvz8e/g7C4y9vxWgOr0epUzG4F69OL/7Ige3beDgtg1IxDYEuLigclQilUuZNXMMJfX1ONvbU1taS3Df4J7qQUgTcra3p6Iij+b2dqRyKdqODrqNBhQOCm7m5dPc3o5nsIB+B7q6olDKKa6ro0arRSKTcOjEFSqbmvBUqUg9n4atjQ3J4eFklpaRWVqGo0JBgIsLXmo1Xd3dNLa3E9s7hCyNhoBQHx4UF9NtMOCjVuOjVuMR5EH0oEhyHhcgtbEhqE8QRzbsZ+SAWFx8XGjqEOzijSYTRpOJXu7uhHl4cOt0GuklJfy5aR0ikQh3R0cO79hItK8vTnZ2+Dk74+fszIlDW3hwJ4snFRUc2nWGW/czMZpMBLi4kF1RwY3jt9i2cg85VVWW++7W0VtsX7Oag2v/RK1Q4B7gjp2tLU3t7RiMRi6fuU3qsZu4KJW4KJVodboeM149nsGegnXe73txsrOjpK6eG3/dILe4HJPJhMlkwlWpZFrSIBxdHSmvbyA43A+JrYSoIZHk19SQlZrJnbN3OfjrTg7+upNug4E+oYE0tLZRVFtLRZ6GvKoq9AYDJrOZ/Pwy9IZuLu+9wuW9V9B2dHDt0DVOPXiIr5OzJS3rH1n/v2AKIpHIH7gORALvAvOAFuA+QjXR9F/9vJuHj/nGw3u4KJVkV1Tg4eiAoScN6P1FK2lvb+bTXz7i04UrCAoL56V3nyfAxYVuo4FabQt3H2bjFySw41J6R6BpbGLF0p8xmUxMf2cqAS4u7NpylOQpQ5naP4FRo+Yj/tu8Yt1Senl6kltZycYf/yTzfhpR8QlEDo4kvLdQ/ncZuhkcKki5f9p8gKSR/TEjcAWkYjHffvo7n327hPTiYloaW2iqaea58cO4/Eg4FfqHh/DJ66uJGhJN4aNCJiyeQFAPsHX5RjrlOeV88N5cKnqceG+kZRATE0pzRwc+ajXRvr5MGLeQ02c2YzSZ2HjkNCG9/Inu4dHfLijgxvFbxCTHsHXFepZ8/y6OCgUSa2uifX2pbWlBLpGwbbeAi0x6dlhPToINNdoWYnx9OXUvnR1fb2HtH99y5vwtKgsqiUgUWKK7Vm1i0/6fCXZzsyRXPamoQK1Q4ObggExiw7H7D/BQCSd5/6BAWnSCk7FCKuXYnXv0DQnEVamkvasLD0cHXn3lS9b8sgwQTrXGtjZyKyqZkTiQjLIyRCIRvk5OZGk0SMRiBgQHW0xaHBUKSurqkIjFuNjbk1lejpO9PY1tbTS2t5PSuzcH76QxKjoKEKzPTGYzvTw88OvRa9zIyyPCy4ssjYagns2vpL4eVQ9uUVJfj0ohx8ZajFwioa6H6l7Z1MStzKc8P2wIjW1t/4OwzkEuRyK2pr61DbWdHWX19cQHBlLd3My1nByeiRI0HQCP8ovQ6/QMiAnnys0HjB02gM7ubjr0enRdXRSWVTIoOsLyjJy/fo9RQ/txJzuXAC93Czir1emwt5WS9iSPqUMGWjRD2RoNXbouJg3oj421Fa2dXXg4Ov6fYTSKRCI74DDwttlsbgE2AEFAH6AKWPP/8HOvikSi+yKR6H6XXofJbObgtZvUt7Zy+UEmXioVXioVqakHmfjqVHKLy5n2+izqq+oJcnXlWvZTHOUKTIAmV8P+dYfZv06ghN7MekpLcxNufm7cu5hOSX09UpmU1BO3GDVqPufObSUt7RRpaadwc3CwmGbK7GRUVRUiV8q5uOcCET3I7Y1Td5CIrZGIrWmsauRpbgkRXsJJ2qLTcezQBs5cT+PKvqsE+3vjFeJFW1cn3Z3ddHd242yvFLQE3QZcfV3o6+dnoQAbu4149/LGzcHBwqMXS8Q8yS7E18mJcC9PtB0dZGRcpUWnI7O8nD7Rvdi+cg8Hzl7jwNlrQq5CsCdebs4UF2fQx88Pf2dnonx8eFpZKaQz2dtjLbbGWmyNrY0NVdpmqpq12NvaciLtPh4uTjx+fJnMUoGO3VTTRExEMDERwWRlXie7ooK7RUUWBD/Kx4dQDw+6jUbEVtY4K+2pamqmqqmZbqMJbUcHbZ2dmM1mijKKsLYSIRKJevIgzGhKiyx6Eke5EKpS+KgQkUiEt5MTt+5n4mRvT5inJ1E+PhhNJgw9f9o6O+nQ69EbDJgxc3DPWdq7uujj58eB9UcwmUz4ODtZKqM9aw9SVVWH0WSitqUFo9mMprpOMP+tqEHX3c3Tygo69XrsZTLse9SRRy/c5EFJCZ3d3bgqlcJUTCymuqia9q4u2jo7SQgKIiEoiPLGRovTlKtSiZOdHddvPLDgY/fP3cfWxoas4lKyiksJ8fUitncIrZ2dPLkpSMt9nZzwdHSkvKaO+2fvYzKbuPEwixsPs6gprcFKJKIkqwQ3BweaOzqQSWworqkl1N2DnLQcug0GimprKaqtpba8jtTDNzAYjXQbTZY4vH9k/S9tCiKRyKZnQ9hjNpv/AjCbzTVms9loNptNwGaEBOr/2zKbzZvMZnO82WyOV7s446pUEhboi5dKRXx4iMWJt62tCU2uBh8vNyoLq8jPFz5cf1cXSuvrMRiNPLwuIMo+YT7o9N3E9QqmrOwpbv6uhMSGoFYoCI4NJiAqALFYjLOzN/X1GurrNZagVqmNDdp6LRKJjObaZvqPTsBBLqeusZmIxAiL60/GnXv4BnhYfPrbOjuRyexw8nQmblQsAS4ueDup6dR3k5maSWZqJk52dvSKDyM8IQzPYC88VSr0RiOtnZ08TXuK0klJV3c3Pk5qfJzU1JbW4OLtQpfBgEJqS2VzM02NVZTW15NfXY1SJsNOZUdUdAhR0SFYW1nhHSq4BXV16fBSq+ns7kZsbU2AiwtyqYROvZ7KgkoqCyp7kookdHbrhQckVyOIf/yjsJPLKH1SSnRSNBJrayTW1qjU7hhMJrzVKjr0ehxkMrp7AlZFIhFVzc2IRCLqK+qpr6insqmJxvZ26lpb0TQ1cf9CGlKx4CgsEYupbWmhoCDd4jxsbWUllObVQkEpsbZG4WiHTt9leagkYrFl06zRamnr7ERsbUV9axteIQKhy9rKCu9e3lRrtRYpt0gkIrhvMC2NrZbxoU7fRX664GxUXVSN2MoKmURKfc/XQdCruPm5oVIoLGPKisZGqrVaHl1+BAgkrb/vU01lLZVNzRTX1WElEtHZ3Y3SScgrrWxqEgxgDQa8XZ3xdhXKeVelkl4e7hQ8eYKtjQ31ra0opFKqS2roaOnASmSF0kmJ0klJ+uU72IjF5N3Lo6Ori26jkbqWVkqzSzGbzVQVVVnGkLY2NqSfT8dGIhbMcltbLZOnf2T9tzcFkTAe2Ao8NZvNP/6nf/f4T982Gcj67/4f/17/Xv9e/+fXfxtTEIlEg4FUIBMsSefLgZkIrYMZKAEWms3mqv/qtXyDgs3r9u/D18mJ8sZGrv51nZkvTQAEk09HuZz8mhqCXV0xms189/02Xl38HPa2tmh1HVxNe8wLo4cB8OV3W9DWNrNu3TKyNRoa29vp4+fH9Zwcwjw96TYYcHNwQN/DcQ9x9yAhYQKHT2/HrSepWKVQsOHIaV4YPQypWMzhtLuWU+z50Uk8rahk9/q/yH6YTuqNw1Q2NaFSyFm/9zjd+m6GJsfTPzCQ2h5noXcWreT595/j4t7LzFw4iXAvT8obGon09sZgMlJa38DHr6/G2UuIsvv954/IqaykrbOTrT8fICQ2hJkTUzhw5ipKJyXPDkpAbWdnQbJ91GoeFBUzIDQEJzs7DCYjj8vKeWPaywQHxxI/KgFnTydenyZ8pqm5uUL2RHu70M+3t+OqVCK2tsLTUYWDXM43v+3mxRlj/r7WWIlEONvbo2ls5OaTHJ4bPJAbeXk42dmxc/NRhjw7yEIRPrn5NA7ODnR3Caf15PnjkIrFXLt0j6nPDuevY1eYPf0Z9h0TEq5enPoMuu5uGlpbsRKJiPDywkYsZuWGPXyyZA7dBgM38vIw9hDUdqzeR0hcCIvmTmb7gdMsnDmBUw8eEhPgj49azXvvriZlzgisrIUzb0ivXnQZDJy6eofQMH+q6xp5cOEBAdEBqN1VTEkcQGZ5ORfP3baoZ+emJNPY1oa1lRVvvbmKn9Z9wDtv/0BAdAAyOxkDE2MI8/SwYF/vLlmF0lnJjIWTiPX359D1W8wbNZw/zl+mOKOYj956kVMPH7Lt800AvP/jewwIDua5yW8y66M5xAYGEODigsFkYv+VVEb064Ob0sEyFt577QZ+Hq48fpyHf6gPA0NC2H30PNm3slm8bA71bUK0X0pvwbjm2tOn9AsKYsfJCwzuF01uVRXPDxz4v5enYDabb/A/j5z/LzkJ/7Nlp5AzNiaGw3fvocnTkJP+hD97vvbB0nkWG/Y4f39B4vriWHR6Pe4ODpTU1+Po6mgBWI7v/QNf3wgUUiluDg7cz8glKSwMqY0N2RUVjO/b11JmASQkTODOneM8qahAbG2Fva2MhrZWDHoBrS2oraUir8JCUnG2V5Kdd4sFb8/gyEEnyurrMZrNWImsaGloYfassSikUp5WVtK7Rxps52hHmKcHjSP64u3khJOdPY9KyyisrSXM0xMrkYjhs4Zx97SQDVnV3EyWRkNLYwsL3prB49xCHORyJqQkkltVRbfRSH1rC9mZAi9ePSCG/iHB3C0o5LmBA7ASiTAYjcxb+g6/f/01Ab2DsbKyskSzVzY1YTAacZDLSX+ST3xkKG4ODhiMRkvOQVCfIAuRx1Olor61FZlEwt2CQp6J68O+6zeZMzwJk8nEpBdGoZTJ2PrLAQBS5qRQrxFwHC8/dwJcXKhqbiZ5RH8MJhPjxw3BzcGByeOSAND3IOM30zKI7RtGl8FAlVZLSJxgw9fV3U19z4YBEJEYgbOnMyq5nIljhlDe2IibypFIb28yy8vpPSSSQHc3CiqFs6i0vp6HGbkcXr+H/cc3IQ4I4OntbJ4dOYjvv93GlESB1Xpy535kMsEKb3BkOF2GbtwdHBkydTBdBgNJM5LwdnehoLDcIn226QGsqytLGfXSK3ipVHQbDUwbmkhJXR2tja2MGD+IB8XFTIjtyyGlINxT9wDBWm0dDRUNGAP8AYG/cOOvm9ip7BkdHW3x1Qzy9sBgNFJbVktkdIjw0PeP5GlaDrEBAfyw/QBDh8ZZYuNC3N15VFrKwLhIqrVagntcnv+R9U/BaIyNizNvPnSIH1ds4dK5vbyx4isGJwn2agaTicqGRt569jk2nztORXEVL00chVwi4Z3lP/HFpwupb21lyxbBZWfs1GHcu/cEK2srpj4zlOfGzePK9cO8+MJyKiuL+Hn3Gqq1WqQ9m0JvLy+eVFQwKiqaz9ZuZcCwWG5fTsfV15XCR4Uc2PYrUVFJzP1c0K7npOWw+ftvyMh9yLWcHN6e8iI/H9mFg0zG/btPeOfFqYLRxzMvETVAeA/2antenjsRAJlESlFtLf7OzoT6BDBlxpt8+s1iyhsa2P3zIQAqSsp4+PAiryz9hFmzxtDZ3U1VczM6vZ6BISF4qlTcKShgy+q9AKz64R3sbG15deFXTFkyCS+VCtse4OrA5VTunLhD3DPx3DlxB4APv1pIjH8AHZ06BiaM41LqERRSKak5OQwKDWX27OWsWPOWJaD16tOnjIyMJL24mHfnfcgbP7xHmKcHRbV15GYUkjAgin7/qTLS6nT0cnfHaDKRV11NYW0taoUCg8lEfkEZajcVuvZOnJ0E1uP9a4/xCPSgX1QvMotKuX7oOn4RfkT0D2P9sp/4+NePhQRrB6FHt7WR4KVSsX7fcVz9XLl/5j4fLnuJLI2GC0euM/2F0UT5+Fj8I/ZsP8GU2aMJcHFh0x9HcPFxYcGk0Vx8kkVfP3/2n75CeU45y5bOs1DNM54W8uDCAxxdHXnr9ZmsXrODt95+ga5uA0qZjB2HziK2ETNgYDQg8A60HR2cvv+A9PMP6D+uP3n385gxfRQtnZ1kF5ZiMhqZPGQgAAqplC6DgW9Wb+f1xTM4ezudc9vP4R/pzwfvzeVRaSkFeaWU91DTJz43Ar3BIBgMNzTwy6qdvPLO88QGBHD0/n16e3tTo9Xy4IHg5aByU2E0GLGysmJgZBiaxkaeiY7+16E5ewcEmYvycymoqeHoqWtMnTCMjDIhXSn1yE3uX0/lpU9eY/eqrTQ0VLL/7J84yOWcSUunQ9uBVC5lRIJAH5ZLJHTo9STHDaFv31G8uXIRHo4O1GhbkIjF7PzlEDI7Gdp6QXa8bdPnNLS1sn7bX3z17gKio5PIzLzO+YzHuCiVLH35Mz766X36+AnmGCOTprLku2VMTkzAYDRy8PIN2praWDJzIk8rK+nQ67l07jZjxg5m1QeCSeeiL17iyLZTpMwczuF1R9ix4yt+2vUXjdWNnN1/AA+PYHYdWMO5xwIv/oMZ81h9aCcbP/qZS5f3cCEri18++o0fNn1KRVMTbg4OiHtchQH2HzyPSCTi0OatSKVy0u6d4fDdu0yOj6daq2X/icvodXrWfCyoHt/9+gesrEUERAWy86ttLFm5mIryWu6fu8/i92czacgYPvntJ8JDhPe8ZtlvvPbVAlJ692ZA/7HcuXsanV6PQiqls1tPa2cXUrHYQltubBdchv6Op9uy7QjfLHuVhyUlBLu7U9nUxMvTlnD+yj5AIP64KAXPx/rWNlp1OouH4cnzN3lv7jTSi4t52mM1lhAmVDYKqZSyhgZsbWy4U1DAtP79Ka6rRafvRqvTEe0jVGrlDY34OTtj1QOK2kok1Gi1BLu5YjSZUUilFNfV4evkRE5PSldvLy/qWluxt5VS19KKVqfDQSYTQNLqGsb0iUEhlVrKe73BQGVzMw+Kiwn18CDYzRWTGcrq6+k2GvFWq5Ha2Fj4AlkaDZHe3hYiVl9/f/Zdvs7QvlF4q1XUtrTg5+yCTi9Uaz9uOciHi2aRXVFBfnU1yeHhZFdU4OfsjLdaTUkPCP13+/DJyo28sfh5KhobcVYqeaLRMCku7l/HZKWro5MWnY5uo5G+Cb0t6c8RXl5cPX2cXpF98PJ0JSgsAolERpfBILgCR4XjHeRJXXkdVx5kcOVBBm4ODlQ2NWFra0dDQwVVdQ00trWTV1BGaW0dmffTOPbnVm5dO8Wta6d6ePQyBgyLJTo6iYyMa0RHJ3HmkBBOM37BZEqrai2ZDB4egTipHXrKaRsS+/bmxLaDZGk0XL35gOLqGswmM0FubkQkRhCRGEG4pyd3r1/h9uk0KjXF1La0ENjbn+RxicQmJKFQ2KO2syPG35cYf1+eGT8blULB+PlC7Fi0jw8PH17E3cEBD0cHNA0NXLqVbiFHeYd4UVVUxeSX5pGXd1eIqXNwoKGtDb3BwKjhCYwenUhi4rMkJj5LRP8w+g2KQWWnYPKS6QBYi604eXgrTe3tDBoyict7L9Pc0UFzRwdXrgiajKb2NqYunIuVSIS1lVDKS8Q2OMhkFNXWUtncTGVzMw5yuWXDcpTLLU5LLkol9ra2Qtxah+AtoZBK8XFyQoSIByWlBLi4EOnjTUFtLcFubowdORC9wYCvszNuzmrcnNV49vhjmM1mPBwduF9cjL7bgN5g4OrjJ/g7OwvTCStrxFbWXH+QaYn9c1UqUSsUFNfVIZMIm0Fntx6nHvFTiJsbIW5uNLa1UdHYSGtnFwqplDAPD+xsbVFIpdRX1GNna4vBaKSru5uu7m7KGhqQisX4OjkR5uGBTCIlr6pKSLdWKLiRl4dcIuFWfj638vNp6+wkt2eSdD89G1sbG0b064OPWk1pfQPXMrLp1Ospb2ikvKERXZsOvaGbx8UluCqVWFtZ4WRnZ+FJpOUXoJLLLfeE0lnJ5ceZ+Do7461SWRzC/5H1T7Ep2MptUcpkiK2seHAnC9ceElN2RQXJYyeSm/WIispaCnOy6erqQNpDZrmVkU1FcRXO3s4Mi41mWGw0Vc3NeKpUdHa24eLig7uzGrWdgtBgX/xcXYiKT+DZFxaQmDSOxKRxqBQKWjt13L6cTmbmdWJiksnIuMbYacMoqa/nxObD+Hm4ou3oQNvRQWVlIQ2NWlyVSjq69Nx8kMWE+dOJ9PYmeVAsAe5uWFlbkV9Tw5ObT3hy8wlPKytJGJZC4rgBePsJobHF2aVcOX6D9DtX0enaaWxr43FJGY9Lyjh7YheNrW2c2i6U9Rnl5fTpk0JVs8At8HZyIiUxDrWdArWdgoqCSjyDPTmy/Q969UrAzcFBCL61s0MiFnP+chpnz97i1q2j3Lp1lOy7OdxNfUxTWztH1h8EwGQ0M37qyzjZ2XHj+hFSXhiOo1yOo1zO8OGzsRKJUCnsOLxxByazGZMZSwKSVqcj0NXVwi3527kaoLmjA2NP8lONVkuLTkdVczMymVAZtHd1Ud7QgBkzsf5+FNfVkVGuIcjVhYKaGk6evYlELKasvp7ahiZqG/4jTEUYh2qJDwhAYiNGbG1NckxvSup7HlqTEYPJyNDYKIJchZ66pkVLY3s7AS7CKRzg4oKtjYT61lasrYTrll9Tg9rODi+1GoVUKgTDVFXR1tlJe1cXzl49m461NVIbG6Q2Nvg6OdFlMFBSX8/Tykp0+i5CPTyo6ImPHxwaSodeT2JICIkhIdjZ2tLL3Z0WnY642HA6u7u5kPaQsoYG/JydSIqOwFYiwUutxkutxlZhi0RsQ0yAv8C1MJloaGuz+DkkhATT1NGBk52QEaqta2F4TBRl9fVompos49h/ZP1TtA9unr7mzSePsueH/XgGe3L+r4McOCeUln/uO8u7i55n2YfrWPXdWzypqKBVp+POlQd8+c58Orq6yNJo+O59wbzi85/eZtaYWazdt4H7tzM5snk3G/b/ysr319PUVMOkV6dzcc8F+o8WchJV7ioMegNiiZjwsADOHLrC2GnDSImM4lKWkMazYOIcthzfBQgnzefvrWPSG5PoaOkgKtiftZ9tYdDkRJbOfp5f/jqCj7c7vk5O+PRcsI37T3DnxB2qq0sYOWMiicPiGBwayrWcHGJ8fblXVISnoyN/HbwIwKwXxrB+zR7eWDoHTWMjSWFhrN52gHfmTUNqY0NlUxPb9p7k7N4jAJw4v4tth84wPCme06dvCLx7f3+Op93n8E8HmPzmNIb1iaRFJ4BWYR4ebD5+jhfHpnAhK4tRUVEU1dayZNY7/LrnR2QSCTPGvMDF1GMALHppBT9v/oSr2U/xUqto6dQxOjqGGq3wgHk6OmI2my2nVi9PTxRSKVYiER1dXdS2tAiGqDY2dHZ3YyWC9GKBAAYCJ6BFp6O4ro4RkZHkV1dz9d5jkvvFIJPY4GyvRPqfZM0uSnskYhueaDS4OTiw9M3veeHd54gNCOD1BV/x+7bPLRoGgGdGzOa7rd9gNpsxmky4OTjwtLKSPr6+VDQ1YWtjw1NNBU5Ke0tmhbWVFQd2nCI6KZrZw4bS0NaGWqEQiEjFxcglEgxGI0E9AN7+S6m8Mn4U2o4OS77GgTNXeXvWZHT6LnacucyYQfG8Pu8zAPYd/onCmhq+evdn5iyfRUJQkKWNadHpyC0up3/vXly9/RCAlMRY3BwceFBSQr/AQApraujl6cmRtLuM6hPDvaJCIr29ye0JIIrz92f74bM8N36Y8LvbKQh0dfvXwRTi4uLM12/d5HFZOX/tPcek50cyIFgQLOn0eo7evUfOnRwiB0eSHBGORCxm37mr1JTWMnlqCmEeHhaTzkBXV/JravBRq3Gxt2fjkTPMGjOMt5asJPn5ZPx8PIjw8rLIcP+2Yf/yuy289OoU/J2dKamvp76lhRFR0Xy+bhteIV7MSRGQ8uK6OvYdOs9nb8xl363bPLr8iDcWz8DayoosjYZRUVF0dHXxw6Z9JCQJOMeDO1m88eIU2ru6UMnlJA+dzo+7VnN4z1lSnh3CgOBgLmdnk3VHCBMNiPSnKLMY71Bv5o4cxt5rqUwbNIDyVbF7awAAIABJREFUhkbKGhooKCxncnKi5T37qNWEuLuz7exFnh8+lHGjXuTo6W3Yy2TkV1ez988zOHk60TtK+ExFIhGn91/i5YVTOHjoIlOnjsDXycly+t0tLCTW39+C6/QPCqK5o4OvPv6NyMGRLJ45Ab1BiIeL9fenoa2NPw+e49PXXwSEXMmyhgYcZDJLaMnrL3/FvgPf88zIuZw9/wftXV2WBKdPXv4QvV7Hnbtn+frnnfzx02puPExl+96THN++h72ndpD6KIu4iFAAWnU6CjVVjE+Iw95WZqE551dXo5LLqeppn47uOw8I4HP/oCAkPUKov9fVp9mM69OX+tYWrERWqBQKSxiMtqMDTWMjzvb2tHV2MnvifA6e2YlKYYfE2tqSvfGo5zMaHBpKRVMT2RUVfDLvXfad2YPUxobL6Y+ZnZKEVqfDZDL9D9mbh3acJmFcAjMGDmBEyhzkcnvu3j1NTW0pLTqhXfh7AuQgk/P6a9+ye+c3NLe3czj1NrNTkjCbzWRXVBDt68udggILOKzt6EAhleKpUvHuJz8xefZokiMi/qFNwXrFihX/wGP7v3dt+P33Fc/NnsPRU9c4tWsffUckUtXcTEldHblVVdw5ncbt85extbXn2IGLDBuRwNCYSHb/cYKBSX3J0miobxXAIImNDdXNzaz+ZBPqcE/uXkrn2dFDya2roSK/kqBwP6q1WtLzC8nRVBDt50tJfT3Llyzh0e1COuwk/PL5eoaPT8IvNI4Vb84jpm8SONpS2tDA12+voTSniOkzxqDr1vPLl98zcOwwnJVKarRawWasqYkT+y9ycs9xbp69SXh8b9SuKpzt7XlcVsacedPQdnSw/LVF3DxzA88BMUIQzt1s9Do9P3zwPt0t1pQ/0ZAydiCtej1X7z2mSd+Jt1rN2P5x6A0GLly/R21NA06uKqxEIt5/+X065Qo+/mQxuVVV+Dg5kanRcPtMGjJ7Gd+9u5zT+4+R9Oxo1nz0Ma+/uYg35i5gzoIXsbURk6WpIMrHh9GJo1iwaD4Brq74ODlxITOTvv7+9B8Sw2sz5zFsynjUCgUdej33CouwtrJiztgUjCYTZrMZTWMjffz8cJTLya2u5q8TV1j81kzuFhYSnRRLTlUV+3adJiIqSOiN/XyZ9NJUvJ2caLI24GjvicJLhcpDzb2LaUydOQGz2AqjyYTeYEBlZ8fwqEiuPs0hs7yc6rpGHOzkqO0U5FfX4ObgQJCbG1ExocTFRZBdriHA1QUrkYjtJ85T3FCPh1qFTt+Np0rFrfwCzl9Jo19kL7I0GmpbWqhvbeVeZi7ljY34ubnQYbYhLDyQqh7c5NaTHBp07YS6u6Pq0YBodR3cvPMYH/9gHL2cqNE2Ex3gT25PfkhGeTmx/v4opFJsJRKeHT2E62mP8fF0xSu+F4+vP2bawnkMjouiobWV/OpqsjWVaBoaeZRTwOw54y2vU1ZSRacY3B0dqWtpQSmTWdK16ltbObjvHCHhAZy8fY9hKQnklVVwfNfOqhUrVmz6f3se/ykqheCICPOXm7fw5cvvYGuroLOznZ8ObAagpKSS54YPpm/vBB4/vUdJXR0qhYKyhgY8HB0JdHWlobWVic8Ip9SnG1awfN67bDi0CZPJREpUH+4W5LJoxpvk5Nxhx6VT3Dh1xyL2sRJbU5FXwdVDF1n247uUVtXi5+HKosnzeH/dt5Q+KeXrpa+w+Yxw6vTv3YtR/YZy4OoZcovKKHwsCFtcfFz47csvOXz1JP4uzuw6fpGJIwYBsGnTYQJjAqkqrGTE2EHY2doS4+vLG0t/4IVFk/F1cqKotpaN3wotyuj5z/D5/DfYcGw3ViIRsf7+nM/IJDbAnyA3N8xmM9/9vpcN33wBQJkmjwfFxTwt1SCxldDbxxsba2uqmpv58YNfiB7SlzHPJqHVCYlSoyKjmDh+ESdPb+KTVZv49sOFtHZ28vUP25i/YDIldXVcOprKyk9eA2DN9oO89sIkbuXl8eRRPnYqO0YnxtHe1cXtzBwSo8Lxd3HmbmGRcD3d3HDvaSkqm5pQ29lR29KCtqMDkUhEq06HvUxm4R1oOzqwsrKivL6BUdFRnHucwZ0Td5j1yiRySsrpHxYiyJ7/lim3taJS2LH9zEWCArxZPn8ZV64fpqyhgXlTFrH72GZ81GrLKTuo30g+2/YjKoWCR3ez8QnzYXBYL5o7OmhsayMnv5Tce7kkTx5Ce0+L1VzbzIF1u4gZ2J8vPl1oqYr0PSYrh6/eEizvkwYAkF1RweBevbC1seFcRgYqhYI/fj7Izz++L1SXB87RL7kPD28KBN9lC2fS3tXF1AkL+WLDpyikUgtI6OnoyKPHedip7Lh17BYAa9cspbHn6wqplBPnbzJ2xEDMmOnqNlDR1MT4vn1Z/YeAEb02cyJffr+VAWP608fPjwAXF6ytrP512ofgiAizBEcieify6mdzaehhZwFMjI2lsLaGB/lF9AkORGlry5ef/MbmDZ9yOTsbT0dHXJVKdhw5B8Di5ydyJiODgT3tx5m7D6gsqOTlWeM5fDGV2WNTkIitsRIJZdzmo2cZMSiOx2VljI6OxkEuR9vRQZZGQ//AQK7n5lKqqeaVMYJOPb24iMyiEjYsX8Pzb72Mm78bIyMj+eCDtUx5dQIXD10lecpQS08NIJdK8VapeFxWRriXF56OjlRrm7mdV4CPsxPBbm5s2XOCCeOHAmBlZUVaVg7zRg0nMmIg+88fJNzTk/kLVrD447mIrazILinnyc0nALz08rOU1tczJCwMqViMwWjk/U9+RpNXzpKvXyHCywulTGbpyR0VCi5lZhHo7oarUkltSwu5pRpmDElky7GzJMYL6sK/Z/bPxsdz6ckTahuaGB4TRYR/CKfu3eLEgUtcO3kaX/9w3vxygWVs+94HPzLo2UTqNPVcPXCJVb9/jINczvjh0zh28QAjBo7m+r2LfLtyKwBvvzcHe1spJjPUt7bgIJOz7tc/eWZqMl4qFWevpjE6OcHiXXD1YSZeHi5sWrGdrKxUnp0zn3kvT+LYyWuIrKxw9XWlpqSa56cI1+zwqauMHTkQT0cVEcFRKBQO3Hxwje/X7GDlp6+x4NUvuXLhAJm5/2GJd+LENZ7efkqrtpmIhCgWvDKFn3/cTXluCdv3riIpYTQhofGMmC04ZM8aPcwSVuzu4MA7C76g94AoXls4nVmTXuWDXz7h+ze+Zu3OHwCBqDVz3HCyNBqGR0RQ2dSEpqmJEDc3lDIZBTU1/LJ6F10dwsb22deLsbaywlOlYsGir3j9oxd5Z+4yDpzYzMpV21j5+WLyqqvZs+MkADNmj6GyuZklk16gtCyb2/n5DO7V619nJPnv9e/17/XPs/4pKoWIqChzenq6UBEUFjN94AALO+71lz5DJLJm+tLnOLnhJCeP/861zIfIpVK2bDzMy69O4a15y/nmdwHVjQ8MFGyqXH1YtXsHvUMC6OPrS0FtLc3t7Vw6e5vGqkYy7giU4oMnNuJsr+SLdX9wavd+PDwCqawsZO/JPzCbzby/8Gu++e0jCyAZFxDAobt3GRYejo1YzFc/bENkLeLDt17sUR/aUNHUyK1H2SyfJ8SCPy16ypn0hwwM78Xt3DxmDh7EE42G39f+yZ/bVrP28AGGRve2nITjkiez7LdvqSuvY/aEFHKrqnl39ju89PHrqN1UDA0LI7+6Gj9nQSuh1eno6u7mzz9Ocuv8BW7cOsapR4+I8/fHU6XiblERBqOR2aOmAHDg0jHOnrnJjKkj2fPnGdz83ZiaMpiNO4/y5vxphAdFcur2ZWQ9FvVrV/7Bh5+9QqCrK28uW8OyZS/h5uBATlUVrTodDW1t9A8KsuRQVDY1WbQVhbW1fDjzVfIKHrLr8jXGJ8Rx5v5D3pk2k2O3rwIC5fdvlmaAi4swTrW3w2gyc/zENUv0298p3oClwnlcXEKUny/FdXVE+/rS1NaGSCRC29FBcsTfqWElSG3EeKnUXMvJwWw2k3bhPhOnpdDV3Y2HoyMl9fXE+vuhUgjz/IrGRotdekNrK2Jrazr0euq1LRxdd4TFX8zH1UGJk52Qs/B3APC5w1eZ9PxIjCYTTvb29PbyYvfV6wR6eaA3GCzXrKq5mf6BgeiNRr77eRfvLZ7JbzuPMnlisiWnMsbX1wKMzh43h/SHl1i18U9CYoPxcHSkqKKahqoGRicncDcnH71OT0r/PgCMSEhh66n9lFbW0MvPm9NHr/Htslf/ddqHyJgY89o9e/h0wXLy8u4xaNBU3vh2ISC46oZ6eBAfFEJGSRFlDQ0MDg2ls7ubE3fvM3PoYDr0eubO/BCAlz+fx+7v9zH7g+cJdXcnITyG3LICJoyYSWnpE/ZdOc3T3BJ8AwSUVmkrIzuvhK9ee4Nvdm7GSe1AQ6OWc9vOETYgjNunUnn8+DKr9m4HwM5ewfSEAWRryrmWnsmBn3Yzbv5kHJwdOPrrYTbvXomDTMZrS75l5FzBrfjm0ZtMnz+eqqZm4gIDaGhrI8bXhyEDJzJ/+RtMSRlMekkxmz4T7NgiEiL5deVHfPfHLuL6hKNWKCiqFXIGYvz8sLe1Zcelq/z20fcApN46TlN7O79tPUxCSiyu9krLaG3Dz/toa2ojaUYS9RphZDhn8ihiw+OorCxgwoTF/HX0F6xEIjadOMf04YPZsv8Uzt7OvDRqOAC7r15ndvJQ7hYVsXHVbpKfT6Zfr2BqtFoePswhcUAMkd7e5PWwAW1tbCzu18V1dcilEmq1QjSdprERuVSCo1xBZ7cQyFNUXIHcQY6T0h6VnR3nTt+guaaJpMlDuHYklakvjsVTpcJVKdCca7RaPB0d+W3/CfzDfNny2SZOnd7EnYICvnvvZz5f9y7Rvr6WVmDJnGW8vuotfNRqjh+7ineIF3OfGc713FxclUouXL1LUUYR8xdPQ9PTYhXnlnFh91n8I4L47NOF7D15iefGJGMwCn4J6/88jtlsJiW5HyC0ZCq5nMb2do6evU5AhD+X9l9h+fIFNLS1cfrcTTwCPXBWC9TuZ3p0DXNmLGXV7x+TXVFB3sN8RFZWjB8zhLtPculs0/H4qsBy/ebb1ympq8fD0ZHWzk42rj/Ay69NI8DFhRu5udjZ2tLby4vfdh4FYMqkYRw6comA6ACGhIehlMlwsrf/19kUHB1dze7uAby39mvGDYjnUWmpJZFJbG1NZnm5xZ043MuLqLB4rt67QkZ5OU3NLQyOjKCwRmCs9QsM5HJ2NqOjo/jpj8M8M3IgOzcdZcESIYSlo6uLCC8vi3Hr6+98z4K3ZxDUA2TV9zjsnHr0iBkDBtDV3c29oiI+mPc+AKcv/kltSwvhXt4sXrqKpR/MxVGu4Lt1O4kd3pd3p85h5NgX+OTr1+jquekfFBVT9LiIp7efEtQniPcWz+RCVhbDIsKxElmx68RFSrNLGf2c8BCm9O5NUW0tSpmMiIAw/rp5mYSgIL78cTsTpwkj2EelpZaTrKKkiit/XmX3nyvR6fWYzGaeaDTMHjWFjSf+xM/ZGTNmi63btZwc+vj5cjb9ETOHDiavqoo1X21lwdJZnD9zkw8WzuSTbzbywXtzAWhub+dm5lN8PF1J6d2b2L4p7Dm1k60b/6K2tAa5UsHHn79q4WV89M3v9H8mnhZtGxlXH/PW2y8gtrJmzdpdvP7GTD7/4Gc2bfqUDz75BYB3lr6IWqHA1saGMxkZDAsP5/D1W9jayRgX25fdpy/j4KykoUoQ+yiUCsJD/Dj0x2mqiquY9PokCh4WYDKa6J/cl5KiCmIiQyxchRqtlr7+/rjY2/PivE9o07bx3qrFHN55hrXfvM3HqzbRXNPEuh+WWkhX205fpEvXRW1ZLQoHBdMmDGPPgbPYym2ZOGYIK95bh2ewJ96hApV6ZHJ/LlxJw8HVkRHxMXz01o+MnDsSH09Xzh2+ytyXn+WLt3+i3xhhExkzKhEftZpTDx7y/KBENI0NtOg6CXZzRSaR0tjWxq/bD+Pg3LOJJPVHamODp6Mj5zIzGRAczNY/TzAkOZ6/dp1hzVdvsf7QSXp+fYb0j0FsbcX6NXv4dc0H/Hb4JG8+N+lfJyFK6aRk+cYfiPDxZsueE8jsZCSGCjNpqY0NUT4+7LhwhRdHJCMSifh4w1q6DAbG9enD7qvXMRiN9O0Bua7l5JB5+wkTY2MZkhRHRmEJcxdO5uixKwxMjsVVKZyifyPZ2Q/TOXLQiX4j4kgKC8PD0YGOLj0dLR3su3UbPxdncovKeP4tQRBlIxZzLT2TxUtX8dvqZbyz9EUUUilvLJrBidQ0Xvv4cyITwnG2t7dEp388eyFrD++gvbmdpDEDOHT1JiJrK0rq6glxdyc+LoIVi14h9cwZAIJP7yRLo6GiuIrk5Jn8X+y9d1BU+brv/Wma0OScc84ZBBXMOcfRMY46pnHUSY6OaXTGMU9QxzHnnHNOiFkERUAk5wxN00CT6fvH6ulzTtX73rvfOnXuu3fVXlWWFAVdi7XW77ee5/mmLd9t4/qN3aQ9T6WqqIolK2fR3cuL51lZALQ7WjFs/jDOvXjJ5NgYDty8R7i/F56e4Ty+/py38QmYmluxY89y4W9OzaG5rQ0dXR3+OnedlqYWxs0XkpJGjOhFc1sbdu62arcea2NjHO2s6Onjw7FH8Xy54Qe8bGxprGuky5Aojm75i5TiwZioNtqHV67S0tSCQq6gLL+Y1vYOapoa0NYRotP1DPXQ1tQi8Um8cP9XzVEr+fr4+VHT0MDQrpH0ihpAdPw1AgM88LSxoSNIuJ6fDP2McfOnEzu6O7cO36Gnny/RXp4cO3WTCDc3vho/i9/O7ldff187O6yMjCioriJ6eDR5Kfm0dXSQGP8UacPnDBgRS3ldHR/LyjCUCBvJoK7hNLW2Im9qYvWCDcyeOIzn1x8TPSiG9s5OugyOxCPAjfISwbQ8s6yMxLtJbN/1A0qEF+3wrhE8z8qmrbkNf3t77D3t6VC1oY0q0t2B1X8x6GowIkR4WluTXVmJhYEBNiYm9B3YVW1Wq6mhQXV9PUqlEmNdXYwkErR0tJEpFBiZG6FobWXKkD7UKgSESUMETuYWOHg7cPjeI0b3jWHRP7ge/ykqhYiICOX6Q4d4dOM5KU/fsfTXr9Rv8oq6OmoVCrYs/Jmf9v1C6vss+sZG4GRuzqA+E3jy7DJ3U1J4HScwv3oOiMJYV5cXianMHDGAhYs2sXb9l2z785Q6Nk7e1KSWpPby86OwuprYsB4s//M3uoX68ywplYhAb86fvMPdC+cZNOETgnsFA/D2/lsS416w//SvdHQq8bSx5c77ZOqbm7E0NCTQ0RGJlhbODp7ExAjJ2TNXTWVAYCBiDQ3aOzp4lZNDhKsrNpZ2DBw8kz0HfqRSLufpe4G89OjkQ9Lev2TJnz8T4OSIvakpbwsKKKuRMiIyAm2xmITcXF6/EuCtBZ+OQEdLiy0Hz9K1ezAaGhq4W1lhqKtLiVRKfFIKgT7unD4oeDSuWTEHf89gioozmbdoA79t/RYNkeBsra+jw7eLt7J/72r1/cmuqMDD2ppXOTmcP3yTLkO7oKGhQb20nqykLMZMGoiPrS3ppYLFu72pqaBnEIn4WFrKrUcvsbAzx83elusXHhLWJxR5bT2mKpXktb03cAt2wz/Kl5e3XpOVlImzrwtTZo9k0eSvGf/ldJSdSmzdhJZvVGQ4nUpYtW43Ib1DSHuWRpeBEVSXSynNLmXB5+OwNDTkYoIwN0pPyBBgyABf9h+8hImlCcMHx5BWXIK7lRXHD15FJBLx7ddTqVMtqiOHrtIob6S1qZXftn7LlAnfc+jEehStrWSVl3PrQhwtTS34q6DtT/v1RCwSsfjbrVQWVTBg+kCyEjMZPmkAFoaG3H34io72DpZ9PhGADlUrlVJUhJmBAbeuxnPj+GlComNZ/MNnJGZkk/oklaZ64XzCB0Yg1hQT7u2BqZ4enwybxb5zOzDW1ePsrTiCQrx5cu818hphFqdvpI+ptQnWrjbE+vqw9+AlNiyb+6/TPrh6+yjP3brJ4+dv8Q1wp7JGxtTeAjxnbmbDXzcuU1tRi6m1KbcP3mbXX8t5k5tHoKMjqcXFnD14nZRXQnrQ4fPbefLhIw+PPyS0byh5qXn4d/Mj+10O1cXVtLW0ceX8LrVu/s2HRFra23lfWEh2ah7XDp5j+MzxJN1LYvP278irquLyybssXzIDgC07jmPtbM2MUQPR19EhLj2dgUFBfP/LX7Q0NjN7/nh19HpZheDxML5HN9ZtPYRLoAvtre2M7tudMpkMmUJBdk4R1vaWjI6IUEOGzzIzyU3JY/q4QZjo6VEhr6NvVH+eJsaRWlyMg5kZM8fOZ8RM4QHr26cL+dXVBDs5MWnYZ1y9fxqxhgZGuhKS8gsIc3FGU0PMwZsCjbpHeCAfSkro6Owkws2NK/ee0iUygC/GzWH2qm+R6OlQlFHMtMlDARjaYzjf/roOZ2dbHM3M0BSL1W7IWRUV6r424UkyIETRF9bUoCkWY21szPbdZxg8qieeNjZU18uxMTZh+sQlXLryJyD4HdQ2NrJ1xR72H1pLTUM927efYvOaL6mur6e5rRUbYxM1xFvT0EBeVRUtbW2EODszf/bP7Nq3ComWFiOHzeHs5b/IraxUKxi/n70G/6gQ+oyJxdnCEgsDAy4+eMrc0UNYuWkv0QMiMdPXp1ahULetx28+oDC9CEcfB4b0jEassnZr6+hgz57zTJ85gqIaKTHegqHvpRev6OIthK7UNzdhZWTEkh+2sXzlbDREImZNWsqRM1t4mS3Y7LtYWqKjqUlDczPL5qxh64GfsTY2RtrQwNkL93h4/ibf/L6U1/cTAWhtbmXMpIHs/+0UP/3yJVfjXzI8Norbr5MY37M70yYu5dyF39hxSqCma2ppcn7nMc7fOEhnZyeaYg2sjf8x49Z/ivYBlEwfNhUv7y706xFJh7JTPcnefPwYw8PDuPTiFYNDgun3uz8Hr95l/ICeAnPw7AOWLp3B8L6Ct4uOphbOVpZs+fUbEnJzaahrYP2C7zh6+xyn91/lhx/nEDkoAnM7YQpsqq+HhkiDgqoqFnw6gp6xYQQ4OHDQQAhD8bK1xdLRku+/FyLUft36LRefvmTjtqMsnDeB+uZmvv/lLzav+IKdl25w9PBVdPR0cPJzZkKvGEAYvPUbFYumhgby5mbsTE05eu4Wsb0i+GxwX24mJ5NZVoabKohkTGQk27NLkGhpseHP4/QZ3JXdV47zOjeX+kYFff39KSvLoShdoNjeaGzG3sMezy427Dr7lzCZrqwkubAQD2trwU6+pobPhwm4/f7rd3F2tuX0jouM37cGZaeSfZtPsGzXetbO/IqUtOfEu2SoxTabTu5i76q9eIX6sm391/TuPZkJX08lydSAm3tvMvW7CbhZWZGp6n8/qhh8Wp2dvC8sZOHcT0jMyyPuwwc0xWKevf3A9kM/8fCDUBm1dbQj0dLG1s2WKwlv8LCz5frpYyz97jOa21o5eeEujt6OmJkIg0YblSHM78t20n/qIFLfP6NSLichO4fKykJ1KPGjNOHzGxpk1FXXIdHSZuuafdi62rB6yUweffiAs58zu5bvRE/PiO+3fKlOlTq34zjVVcVoiDWJuHSAhuZm9HV06Ojs5JtFk1ny1VaqysqQrhIQpkHhIeRVVmGsp0duZRXX415y58ppugyNwtzMiLq6Kv7cf555MwQESFtTEzMDA6QNDUz4dirZFRWCOW1HB06+TlhZO7Fv9T4yMl4D8PpdPI/S0xk/byR1CgWNskbSS0uZ2DuWA5duE9YvnCKplNPbhWH1o6eXObP9MOfvP2FQTCTGurr/8Gr8p6gU7J3dlDsvnmPPyj3Yujhw89IhzjwSFvm75EzmjBnMzBk/cvjwT+RUVlJYU0PCk2RWfDGFjs5O0ktL+embbQB8sWYGU/qP5OaLByR8yGTH0l84fuMY65fupLgwi4Vbl/DodBzhA8IAqK2QIa+RY2RuRN9ekcQ9S6JX9zC6+wZwNUEwJZk15BN2XRUMTcJdXZkzdTlTVkxDWlGLv7crF4/dwivSmwWjh3L0cTx+jg7oaGmqB3sbdp2gpqSG7PcZDJs9kkA/d7p6enIlMZFevr5kVVQI3gyHhJjyOV+OZ+vaA3yzehbFNTXEeHtz9vEzxvXohqEqe+DQhdsc2ixsVAlvH3Ly4RP8PVxIy8rDx11wc76T8Ja9q39n6pK59O4aqiZseVhb88exiyyeMprTT54xMbY7pbJalnyxmXXbvkGipcX0cQu5cksIwFmzfi8//jCb2+/fYyiR0NjSwoiwMGobGymtrcXGxARjPT3eFRQAQg9vqmr/6hQKOjo7EYlEajagvLmZOoVCrT/R1dJC0dpKbmUl/QIC+FBSzOPX7+keHoBEpUDU0dJSK/20xWJM9PVJysvDRF+flV//zvxV0/F3cOCL2T/z686lWBkZqYeG/ftOYcP+n6moq0NTrIGzhSU5FRUEOTlRUFWFgUTCu/RsdPR00NYVZgrOFhYc33WR0H6hTOrbg9rG/zjfjNJS2lTzigCVu9aeM9dYOGkULe3tSFWw6Pnbj/l68hikDQ1cevqSHiEBLJgq2NpfvbGPIqmU+ZOXsGzbUoKcnNAWi8mvrqamoYGyGikhbq48eCJUwKP7x2Cir09Cbi6+dnaU1tbiamnJleevGdEtkqT8AgIcHNR6mO5eXuy/eIv+PSKQNgiqUCcLi3+d9kFbW1cZGtqXjYc2E+LsTGpxMVHu7oCAeX8sK6OLmxtPMzPp4u5Or6gBHL95ivK6Ol4+SOSruRN4q3ogQ52deVsg6PIXTFvOrwfWsHrR7yzbsgCJtjavUtLxcHFQQ2YnLt5l7PDeuFtb8zI7m7zyClxtrPmYU8DsIQPo6OwkMS+PkwevAvDj8jm0tLcT7hfB/BU/smCMJNYXAAAgAElEQVT6aEprazl6+CoBPQKZ1rMnXl4R3H9+S12+vsrJ4cCaA8hklWhoiDl/fR97jl1VU11nTF5On0l9CQ4UEo0CHR3VPosrZi7l9+O/Y25gQFJePv6ODjhbWPAgLQ0HU1MA9v52irvXTnLj+V3qFAo8bWyQaGkxZtgc1u0RFIPShga8VWKZM7fiWPDJcDbuPsnCGWOpaWjgk0FTmLliEe/jU9i0YTHTJi7l9Hkh5OvCy9fkJufSrXc4QU5OLJ63ngU/ziD+4Rsa5Y04+jgya2h/tZjowqvXBDo7CRt2cQlDQkNoam3lVU4O3ra2xCemMKpnV45fFqjjwwfEYGloSKdSyaWnLxkb25VLz17hZG9NuIsLh6/cpb21ndxkgUY9auYQPKytOXryBqbWprh6O3F1/w08wzwJjfKntb2dXr6+pJcI6Up1TU04mZvjZWvLr0fO0yhvZPyYftx6+JJFk0axZf9pTKxMmT96iNoH8sCNexiYGlBVVIV/oAfOFhZklpdhbWSMk4UFO/efR1NbCA8CGDuwB4U1NXzMKaBfZAgHj17DI9QdkUiEibEhFoaGXL/4CFNr4Z4t+HQE8uZmXmRlMSw0lPyqKlra29RS7sKaak5duo+lg1DRDuvWBUVrKy4WFtQ01NPRqSS/uhpDiQ5nz91j2ReT2brvDOZ2QnU3omc0pbW1ZJWV82n3bmw/fYVvJo/5n28fRCJRPlAPdADtSqUyQiQSmQFnABcE49ZP/k9hMBoaGviHROLvIOQseNvaqD0Xy2QyPqRk09vXl8yUHEz19enaYwiGurqCy9GF6yxfOFVdHhVLpfja2fEsM5OsrDfYm5pRVSWo6Mz09bldIaPUSF/dn/boFYG+jg6dnZ08uPMCZaeSPHEeUT1DUbS0UFZXh4ulBb3GCDOOklop7lbW9B8ymYAoXyRaWtQ0NKCjp4OfowNeXhFkZiYg0dJSx6IZSCQoFPV4BQbz6PZ5DHQk3D97ne/nTKRIKuX588ssXj9XraB7npXFwKAgbpy6x5Ap48koKMbC3ITu3l68zskRPAukcvqoyDkPbp6hubmRazfjMbc1J8zFGS2xJiNmj8PD2ornWdl8SMygIlBoye4dv82XE0bw4sZTwroHqmzSEqmrkZOXnsH7wkJsXe1oaRPOvzK/gsR7b4juFcadxLd0H92d0tpaQrr609TaircqXu7vexbq6kJbR4eQZuXjjbammDKZ0K/nVFTQLyqU3MpKunUTiDbNbW00t7VRVV9Po6yR5rY2TMyMMNbVRdrYiLGFMekv0ynLEwaZWioikXuwGxFeHkJylpkhXiEemOnr09DcjIFEouYceNrYUKYyf+kZG0ZzWxtuVlZ0jQ6iUi7HzsOecG8P6hQKZAqBIKWjp4OXnS1G+no4W1jQ1tGOn70DtsaCmWpUnzCkMrk669HBzAyxykympa2d2AHCIk5+nsqimeNIyM0lZmAXNUyqo6WFdlsbzhYW1Dc10djSgoaGBk2tbdQ3t1BZJ8fa2RpLS2ET0dfRobS2llYTE8wNDCmTyQhxckKsoYFvtC9ldXUYWxhjYCJUaIa6uigqKhgQHEhtYyOOHv94eNt/q1JQbQoRSqWy+j99bzMgVSqVG0Ui0TLAVKlULv3ffU54eLhy1d69ZKflUZZbxqzZY1CoxCwt7e2Y6Onx05IdbNz+LSlFxVgbGWFnasr4oTO4/fA0zzMzeXL7FQD2HnYM7RlFflU13b28WLF+D2MmDeTWtXjKcspY8eMcGlqaaW4VOAR/B6Z8M2MFG/auwd3amqyKCox1dTl38T4Fqfn4xwYQFCIMlPLyS3h+5QUr183HwtAQLxdfDt+9Qml5NdEB3hjr6iHR0sLaxJRvfhRamhmzRuFrb49SqaRTqSQuPZ1oDw96dh3OyJlT+G7OBFrbO9RS5TeJH7hz9Dpb9q9FUzXXSC8tpUoup5evL0U1NbzKyUHRIPAURnXtgrammPiPGXjZ2pJbWUm0hwfaYjGVcjm5lZV42thw85UwtPq0dwwD+07m6u0jnLj1kDmjBlMmk2EgkVBYU8PD+DcsnjxaPYlvV0WdpRYXU1BcjpmFCUmP3mHjak1eSj5fLJhAc1srj18LRJtpQ/rS1t6OgURCQ3Mzl1+8prKgkokj+/LTyr+YvWQyipYWdWWxc+U+XAJcsXKyIuleEspOJTp6Omze9h2LZ/+Cg7cDyk4lDt5Cqf7t9HFklZezee0+Pl04ltvnH+Ea6EpjXSPS0hp+XjYHsYYGvx8TwoFamlqoq5ITNSiSzHfZGJoa0CXUj+r6ekrLq3l44iE+UT507x2udiLe/fMRbFxskFXJOLRvDUOHzOHajT20d3TwJCODuJsvKMkqwT1EqGgnjR+Im5UV02euRlpZxagFY3h8Np6YMTGM6dWVdesP4OTnxKJJo9TP/fvCQjTFYjLKynhw8iEfkhLx8g+i54Se5L7PIzMhEw1N4UUxbN4wcpNzCOsaSE8fH1wcvcjI+0CRVMrlK4+wcLAgNT6FyiIBIu06sivFGcWMmzoYP3t7ftq4nz/WffU/3z78v2wKGUAvpVJZpsqAiFMqld7/u88JDA5W3omLo6q+noQPmcwY0Ef9QG7ecZyi9EJ6TexFwu03xN2+xOoDvxPo7MTiaUs5f20v0yZ8x9Z9AoTmYmGBRFubiPCBbDr6G8a6ukS4uZFeUkJNQwPZRaW0NQtBLQBLl87AxsSE71Ztp+hjEX7d/Eh7lsbRUxt4lpnJpsWb2HvqV/VbcELPAWy7fJYQF2dsTUz4fNpqhs4dyic9u6MtFlPT0ECnUskfO07y65qFAFTW1ZFbWYmThQXZFRUEODjQ1NrK3GmriH98mssv47E2NkZPRSseN3gqc9Z8jUisQbdAX5Qo+e3ngwT1CiY42Itunp6UymrR1BD/fc1pbGnhxKmblOdXsGnDYrLKy9FWxdi/zslBUyxm5ihhKHbh7ml2bDvBmhVz+W33KYJiAhkQGMid9+8ZExmJm2sgT5PiMVRVX8du3GfmiAG0dXSydsM+pswcgZuVFa9ycoQ8Si0thgQHk1VRrvp75YS5ulKnUPC2oIBvxs/kdfJTbia9xd3Who95RexctpHV+zcC0NjUTKCzE3UKBUXVNdRW1BId6kdHZye7Nx9n8YoZ1NTXqym//g722Jua8fDDB0rKqojy9+LB0yRCQ7yxMDREqVSqkQ+AKrmcNhUT8dqrN3R2dJLyJIU+Y3pgYWhIS1sbZbUyevv7qX8npaiIlrY2GpqbMdbT40ViKqFB3sibmjiw7hgjF47E2tREDZ0X19biYGrKD3PXMnLeeMztzPG2tcXb1oZrSW/xsrUltaCQEDfBBdpQooODmTntHR3sPHWFXrHhbF25l7GLR+Ngbk5rWxsaGhrqFnTBJ/O4+/gSR6/eo0tkAFmFJRibGPIxKZPIbkE0trQQf+UZk1XRCIOjenHrVRzJWXnY2Viwe/UBrl7d8X9FEKUE7opEokSRSDRH9T3rv3MeVP9b/T/94n+OjZOqbKn/ffz7+Pfx///x360U7JRKZalIJLIC7gELgatKpdLkP/1MrVKpNP3ffY6bj4/yXnw8acXF/LX8L9z8PJn39SRAsA6rqKtj06ZDLFs2EyNdXfKqqjBRGamevBvHpAG9qFIJqG7GvSL5cTLrNy4mpaiIh9efsWDOeNau3kVInxB6dgnCwtBIbWT56cSlGJgY4ODtQI+BUfja2ZFeWsr7pI+0trShraNFRUElYyYNBMDDyooff9pN1xFdWTFlLn9dOUEPHx90tbX5ZecxgrsFYCCRqCXdANYmplx+k0BKQjqR3YIoLhe8/g3NDIkNC+BjWRkbv/iRtLSnAOy6fpXC9CI+vkoneng0tw/f5OLlHWzeexppuZS1y+dgpKvLvlv3/r7GWFmZcevYXdavW8iVlwkMCAvmrwMXyE7K5sG9Ezg6+LD+iBDr+fjmC3T0dPAM8+Tc1rMMnTMUH3dnjHR1MdKVUFQj5e27DOaMEcJg/m5BItzcWPz1Zr5ZMQM/ewf237hLgLcbp/ZfZfrc0dipBp9rftyFk48TIrGIjrYOvpo1nuTCQgqrqvG0tSE5M5dp/Xrx/Y8CT2HyrBE0tbYS4eYqiJwKi+jp48OAXuNZuHkpA8JC1O5IAEvnbWDE/BH0Cgvi0Ztkuof4Y2tiQnxGBv729swYt4BD53eSVS5ULlZGRgQ6OpKYn09bezsl0lqCnB05sOci33w1BbGGBgU1NTQ0N6sHjT28vcmtqsRQosv2P0/xyZTBnDtxm6hBkcT6+JBRWoqDuTk1KkSksKaGjKRMfpg7mRdZWbxJSmfa8H5ceZlAZ2cnU3r34PSTZ1QUCHqMqaMHIG1oYFDX/rz/+Ib00lJ0tbTIKCsj3NUVJ3NzpI2N/8UANyE3F1dLS8HMBiVZ5RXo6+hQVV9PHz8h6+TvakpDBJoaYu6mplCQU8L8MUPRFIv/76IPIpFoDdAAzOb/Y/ugpaWjPPjgPkEuztQpFKRnFTAgWrAy27P/ItbO1kR3CeTZ83coO5XU19ZjbGnM2IE9uJ+YjJ+7s5r408fPj+M3H1KWW8b+X9ex5fQx2lrbkNfIcfNx5si6Y3R2duId4QNA1KBIfOxs0dfRYfP6g7yOf0RU775U5ldw6Pgv5FZW8vxtGsNihEjMR+9TcbS2JP5BAgHRfgwPDWXlhr30GxXLteN3yUvLRqGo5/6DYyTkCESVCrmcURGRODv7I5NVcj/pBe8ycxndPYqnmZmsm7eK/Rd2k6FiBCoamwh0c+FFUhp6RnoMj4pg9Y9/8evGr+lUdvKuoJCq+np1oM3zB284/PtWlv6xhbtH7rDq969ws7Li5O1HmNsLOZ3ampq8Tc4AwMTSmN5BAbzKyUFfR4cod3eWLd/Oo1sXWbVX2Di+mzCNW6/iAJg9di6r920g2MmRl9k5eFpb/4c5rKEBJnpCCf13+9PR2YmOlhYiVSjNu4ICQpyd1bbvHZ2dbDt6kbHDegGChV6nUkl1fT21jY342NnxsbQUQ4kEMwN9PpaWIW1s5NlDAZ77ds5E9LS1ya2sxMbEhDe5uVw+focJM4ZRKZfTw9ubTqUSXW3h+lx4+ZrhEeEY6eoib2qipb2dQpW5q4uFBaUyGeYGBv9lUdU2NlDf3KIu8zVEIjo6OxFraPCuoABrY2N1HgcISk9fe3vup6bS19+frPJy2js7ECHCx86OtJIS9HV02LtXyPZY+MVEssrLyS4ooWugD962djS3tam9H7MqytHR1FJvUpVyOdEeHmrTGl1tbTREIhLz8lSZGMbcfpVInwhheFuramNDXVwAOPfyFZNjuv/Ptg8ikUhfJBIZ/v01MAAhN/IqMF31Y9OBK//AZ1FTUkNBdTVV9fUkP3qHqb4BpvoG+EX70j0qiJr6erp3CyEmJpScdzk0yYXgUT93QfOgVCpRKpWU19Xx5s4beg/tRlBQL6pLqrGwNKWhtoGaahmBsUH4dwsgMFb4d//kQ56/E0gufT/tQ6/hw+g7oTfl5fk0trTgbGFBWU4pyYWFJBcW0tXXm7JaGekv0nl1OwGxhgYugS5oamiQ/T4DmawSF28vlEolThYWOFlYkJKQjrOzP/n5qfj4RKNobSXA3RmJlhZd3N2J7NmL52/TyHyXTea7bHoG+lOnUBDg60ZKfAoNzc2EDQgnq6KCTqUw6bYzMSEvr4S8vBK8IrywsHAgLMib2LE9ULS2YqKvT9yZx7y++ZryWhmaYjF9u4XRt1sY/i4CXOhjZ4utiQkm+vrYe9rj49MFZxsregb609Ag4OCulpZExPTC09qaTiUEOjrwoagYE319sisqKJbWkpCbi4FEQkdnJx2dnSQXFSFvahJcjcrKBKdusZgSqRSRSERGWRlduweTkJNLgsqtSUMkQl9HBy2xWH0vU4uLkWgJG42etjaGZoYYmhmSV1VFa3u78AIpKaGhpZnWphYq6urUvBVTfX11KHBrUysSFc8hr6qKzLIyPuQXkZSbR0t7O4rWVoqkUgqqq9VIiIZIA1ljI/KmZrXYLqu8HHlTE/KmJgqqq6lTKNTJ1i9SP6qdmwHSSkroVAqoQbFUipFEQmZZGU9v3efprftYGxsL9u633yDREha4tlhMp1JJfXMzJnr6tLS30drRQWtHB1qammp0428FrLypieSMHEplMnS1tWlubFZfO11tbQwkEkqkUsFFW0V//keO/w4kaQ1cUhFENIGTSqXytkgkSgDOikSiWUAhMP7/9EGdnZ1o62rT1cODUpkMi9kj1IO9mjIp199mM2PqcPYfuoKZnRl27na4BbshUyi4ePIOn88eg7ZK4KSvo8OUr8YTd/MF8fFn2bB3DdevPiaoewC+dnY8PPEQKydLyvOFG/3p3JE4mJujq63DhW2XKC3Oozy3jP4TRmCqp8ebvDz6DemOvZkQ9/Us/SNRXp6khbjTc3A07R0dtLe2I29uZtjskZz54wiPbp+nU7mC7L+Vm92C2CqrJDp6BK9eXcPRbB87d53F/etpPE5P5+zhHcxf/IzCauFvvh7/inH9Yvlt+wl8u/pS19REfmo+k/v0oFQmQ9bYiEyhYEBXIYFqybyN5GQncfPKYwo+FDB2cA9q6uvpP60/oX4egtgnv4jSHKESaZQ18s0Xn3Lq8n0cvB0w1NXl4fmbaGpq8+zJWzLszPHxiVZDeiU5hdyOe8WYgbHEvUomNNBLzcA0kEjUDMO/yUL+9vaIVIvcUCIhq6KcljbBD7G+uRkvGxv2XLjJsD5CWpKitVXl9NxKXlUVzhYWaIrF+NjZUimXI29qIiu3iI8vPwIwYUhvlEolWpqa6nPo6OjEwtAQfR0dzA0MqG9uRqZaoP4eLshU9uc6mpo0tbbiZG6ufjMrlUrcrKyEjeM/pVwJ2Y4d2JkI5+1mZYWOlhYulgJ3oL65RT0IHBMTjaGurrA421rxtbNDrKHB+6IihoWGklVejpuVFZOXfC481yqC09DpA5GoyFt1CgXWxsaC+1dNDa3tAqwLgsGworUVezMz5E1N6OvoYKynx6AogckIoFSiVua2d3aiqaGhVq7qGev9n5ah+vinIC8FBAcr3yYl0drexuucXGxNTJCrZMGeNjZqI00TPT187QUuw8RPvuer9XMIcHBAoqVFk6rs09XWJq+qCm9bW8Fks7aWCDc3lm/cw9Spw3hfVESos7O6/xWCQAzVIqVKuRxrY2Pi0tNZPXslxy7vQd7UhK8Ki9dUiZF8bG05H/cMHw/B/87O1JRnmZn42NlioCPhWVaWOm/w0vNXBHu4omhtxdHMDA9bOyplteRWVuLv4ECnspND1+5haiNsPKMiw3lfVIyj6gFIKSpicHAwl18nYGpkwB/f/c7Vm/vUlu0mqhAQbU0h/MTGzIJTz57Q1cMDkUjEq5wcTPX01MrTKrmc/OpqNTNO3txMhKsrb/PzCXVxobOzk2eZmZzaJWjzv1o2HScLC37ff5bpEwVvg6tJSby4+YqJU4eQVVHBwxMP2f6bIC+/l5qqLrVN9PTws7dn429HmDFrFGfO3eWT8f3xtbNn/S4hZKattY2i9CL27lpJXHo610/eY93q+fy4fi9Ovk4A9IkJx1TFKEwrKaG4tJJQb3c0xWJcLS1JKynh1P6rrF01l2tvEqnIq8DEWhhtDY2OwFhPl7YOAVrNr67GztSUHXvO8uM3M/hYVoaPrS0t7e1qoVxjSwv2pqa0tLfzOieHV/HviO4ZikRLizAXZ/KrhAzR3duE1NO1q+fxtqAAfR0d7lx/goOXA5P79+SjKs/Sz96eOykpOKpeLtevx7Nv0y9cjr9NmKsrKzfvw6eLN7f23+bw4Z/Q0NAguaBAzQERi0Rs2nWSlQuncft9MuYGhuhoamJnasqBk9dZPn8yTzMy1FR5TbEYY11dahsbWffzXj6dO4oePj7/OoxGB1d35Q+/bufz4QNIKynBx9aWfFWGgEyh4ENOAeN6dON8/HP83J2paahnUFAwJVIpXvaOZJQUomgRNoU3mdmM6RbNs8xMbp99yG8/L6ZXzwncuncUXW0d3uQK7sN/p07/DSMGODhw/PI93PxdyPtQwJeTRvKusJC29na6e3lRWCOcT52iCU8ba66/fYe8tp7JfXoIGYb3XvD97E/ZuPsk989e5/qdI9SrNrYTV+5jZmtGgLsz50/e4YdvpmNuaESZrJYSqZTvP1/NqHnj0VT1wPom+nwa051+fSazcudKfv7iJzbsX0dLWxubv/2dGzf3svnAGb6fNQEAUxNLZi1eTV11HRO/GE2EqysGEgmpxcWY6euzY+dp4q5dZ/FWQTo9e9Agiqsq8HB054dfd/Dy+gtyc5M5ePkg8z75gnUHN2NhYECwSo7+IiuLT/sOZ92RveSl5DFwaAz1Kg2HWCQivbQUD2trUguFWLemhiZKs0sxtTbFx9dVYItmZtHN25M3uXkEOTkha2xU+0GIVKVzQXklcmk94cE+NLW0EP8ggT4DotHT1ubyxYd0qhKeZRW1uAa50TM2DCNdXUQiEeUyGdbGxnR0drLnz7OsXjGbXSrDkc8mDuH+2/dYmpvQxd0NeVMzZvr6JBcWUlFXh6O5Ob52diTm56vnNLWNjQQ6OlCnaOL52zQCfNzIzC+mW6Av+jo6tLa3qxPKQSBUxX9IZ1SXSJILC9HX0aFOoWDPuqOs2vylOibO00agvv+t93iakUFLezvypiY8bWxoUwXKtLS24Whhrg6wdTY35+arRLxcHIhyd1dXGlpiMRV1daQUFRHk5KSusCNcXXn88SM9fXw4ffcx04b0xVhP719nU4iIiFDuPnuWE4eu8fj6db77cy1etsLFkzY2kp1TxPZla1n650byU/OZMXkYtiYmjB29iJPnfiMxL4/nTwTp9MD+XSmVyUiMT2bu9FEsmvMLR46vY/naXRR9LGL174upUyioV70R+gcEkFNZSRdvf75csZFeQ7vx6OpTeo+I4f6leI78uZnxUxcQM1ZInY4/F8/r+IfcjjtHflU1/UK7cP5ZHBItLSrlckaEhaFUKunaZQj2DsJ8dejsYXzSJ0ZdJuZXVeFgbo6tiSn9+k1l1/HNyBobuX5d8Be4f/YaVVVFTF28iDEjhVI5vbSUxgYFfUOCsDUxIbmwkEsXhCj3xXM+wUhXl3kL1zNgWn88bWzQ0dLE1dKSN7l53L4Sj2+UDxe3CSG8W/csJ9TDF6msin59JnHh+n6MdHVJLS7G186OYYNncf7qbjX7LiE3l+5eXiTm5fHD3J+Z/fNcQQBVXk52UjY9+kTQxd1dbaFX39yEt60dSqWSlKIinrxMxi/AnU6lktR3mVi7WFNdXI2rt1AFPLn2HBd/Z7qGBxD/4h1vbr/BN9qXyNhgVs78nqU719La1o6DufCW9bK1xdzAgC0HzmDrZkvO2xyGjelNiVRKekIGY0b2xtXSUk19f3T/NT36ROBnb8/vu05jamPKhKG9eZOXR6SbG8cu3KGqqIrVyz6nRFWKP3ieRF5KHppamiz5agrLlvzB2vVfUt/cjKKlhRs3niAWiwnpKmQ3Dg4Opk6h4I99Zyn8UEjsuFhKskoYOaIXclVORb1UzoJxAo+gRTW7OPPgCb0igrgTn8C5P48SFtOdlctn8a6gkPdvM6gtF1o470gvbCzMCHBwoLqhgU0rd7Ng5Wf42tlx5WUCkd4ePHuXRl21cA8aZA04+zvT0d5Bt0BfHr5I+tcyWWlqbcXDxobRkwdiYW/OkNAQNZpw4tA1Pr5JY8b333Bj93VevrzGgCHd0RSLMTAypqimhmPbzrF4hSBt9rWzw8/eni9HTcElwIXpyyehranFuOlDqGlo4OHTRDraOkh/JaTz9v7DFx87O8ZMWMTtM2cFSu/LOL76chLKUbHcOnOKyfNGq9l3pw5u5ZeDh9AQaeBpY8PAwTPJzinis8F9UbS2CjFoUikjZ07htxXfArBx1zK1buNxejojwsL4UFJCv35TefDgOHFvp9I7LIgBgwVL+N3r1/Ld5i1Iy6SCnX11Nac3n2HgrEFklJVhIJFgrKfHuPGC3dvfyUyNskZObzrNqbNbuJ+WioWhEdEeHpTE1qKro82zZ8KmUCb7gnGfLqa0thYHFw8ef/xIVw8PXr//iL+9PS9eXKG6fouaQHbn+hO8Z9via2eHjo4EfweHvy3DMTcwoLWjA6VSibbqrVbbqKBeNZCrlMs59cd+7j8+L6QZ9Y7iXXYu+9ZtYc8lweKu18ju+Nja0dLeRnCINwbG+nQL8aOlrR2/4C509fSkoq7uv5T2Jnp69OsbRWZpGWM/6U9GWRmhzs54WFujRNhEw1STd4NhEiwNDTHS1cU7yhstbS0u3ntKZLgfzW1tDB7QjbSiYnQ0NdXzgqG9oqkI9aWjs5PSWhndRnenuLaWiro6Hl9+Ss9RMdgaG2OjMkFJLy2hpa2d6qIqYsbG4GRvTZS/F66WllxLekuktwcF1dXqOUeRVEqAgwPDYrpw61Ui/WLCSX70jj7je1Lf3IKZvj6D+kSpqebL563j/JWdXHrxCiMjA8YtHE1eRSW55RWEeLgibWykXtbA0P7dAJg4eDLHrh8l4UMmdU1NFKYX/cPr8Z+iUtDTM1JuO3+e6QP68DY/H2tjY/WDXlBZReKdRJZ8N51Nmw7hFuxGc2MzwwfHIG9q5scv1nHk7B9q6Ka4thZLQ0MOHLrMns1rSMtN5+ef9jDv60k4mpnx08b9OHg7YGQucAi6B/mpAlM1WDRjNfr6hjQ1NTL35znEentz+/17Yry81E5NtxKSGBQRyplbcUSE++Fvb8+j9HSUSiX2ZmZs+m4Hz59fJq8oQ52DIG1sZNOCNUT27MXZwzvIL85kxJDZ7Dm5lbi3KcwePIDkwgK1x+H7Z6l8M3ciE8csYt4v85HJ6qkuqWbBxBHcS8uAyFkAACAASURBVE3Fz96evKoqunsKAqqw4B40NTXQJXoI9h52/LxqPg3NzbwrKMDL1pZbT16Tl5KnHgSmPH/LnuMbWblkG75dfQnvGsg3E+fRb8Q4AOy97MlKzOK7FQID8s8/TtLR1s7iJdPYt/cCkz8bTm1jI07m5miJxRjr6aGnrU1NQwMgyIJrGxsx1tPFUKJLYU0NRrq6WBsbC8xOc3P2Xb3D6N7CA9zS3oaJnj51CgWPU9IYEBZCY0sL8qYmIcS1vZ3HDxLUlvaL1s7C1tiYxpYWPKytkTc1sfXPE0yeKoTUlEil+Dk4qFWb7lZWyBQKTPX1MdYVAorVmhVNTcrq6vC2sUHR2qp+7jqVSlwtLWlsaUGipUVdUxNm+vr/Bdasqa9XZ0uEuwozo6S8PJwtLNDW1KSlvY1Ld5+y+NNRZKnCZAtU5b2ntTXNbW3q+Lfm1lZkCoVgnadUUtPQQH1zs5pP09zWhqZYjJWREW2q89fREiDLzPIyzPQNuPHyDVEBAtT+9+Ddx86O8ro63ubnMyQk5F+nfXD39VUu/+NPugb48Cw5DUtrcwYEBACqflNTk5vJ7xgSHEJNQz333qcS7uaKq6UlR+48JMzPUz2QSS0uJqesnGHhYVTU1VEpl9PZ2UlOcRnRft7qNJ+/p7STJiylz6Te+Pu5E+TkpNa451dVUaAKnGlrbydehZF/Om4A6aUlPLgQz6Ht63j18T1etrZklpVRVV/P2+QMAgM8CHF2VmPY00fN5sDFPTx/m0ZMmD9xL98JLUZ4AKYGBjS2tBDs5MSIEQItesNfS5EpFKRl5XFt9zXKy3N58uwyYSG9sbNz55fdq3G1tFS7G7/Nz8dMNXEfFR7Oros38PByZueKvQyfO5xHp+LQEIvY+LtQuZy6+oCo6EAy84oQaWjw5vYbxswaSoyXFy+ys3G3suJdYaHaTyHYyYkTT54yPCKc+6mplOaVM2PkAKZ9uoygHkHs27KeTScPMryL8Lz5ewbTu/8E6mvlFBV9YPOxbRhIJPz500E2/fEdc6b8wNEzW4kIFNCHpNSXVMrlOKrag9pGBc1tbcSGdOPF+5e8zM6mr7+/etIfGRzLp/MX4OTjyIUdZzl27jc6lbB+wwHW/TgfN0cPNhw7jJuT8EyEubgg0dKivrmJXUcuk5mQwWffT+KL0Z/xPPEhDz98QC6V0z8yVC2PLpJK0dHUpFgq5dvJC4l7fp3ukQPo2msQM7+awJVz9/EK96Ki4D8QpnUL1nH0wp8YSiSMHvo5xy/uJDE/nyPrjnPyzCamTvqBEQtHAqCnK0FPW5srh27xw0oBkfj7ZWisCva9/f49njZCVmVLmxBTZyCRkFxQyLioLixdu5PBn/Th8pFbrFvzhfq8QYAru7i5sWTVDjzDPRjSMxoP638sS/KfIjZu+86dazauWc2dF4nsXL6Bko9SnMLcKZPJsFK9XTZ9u4OIPmHoaGlha2qs7s+L62T08fcnMT+f8ro6XiWkcmv/Tbr370JOZSVHfjvDrEnD2bpiD2UyGfYuNtQ3N2OkK0GJkvgXyRR8KCTtzUc6rfURi0U8y8gk/vYrpBW1JL/+QNyVZ8ycNxZvL2f0dXT4+atfmbRoPO+epGId4IW1uSkOZmb88dtxeg+IQiwWUy6TYWloiJZYzJrl3xE7djTF2SXomRmAtiZtre28TfiAjaOVIJut1OXq1R1kZLzGIzyGB5fiSXmSythvxqGQttO7bxcMPVxx8HBmZGwU+hIJu49dIS09FzNbM/S0tTn12zmie4VS09ZEF3d3GrThzuGbPHxwAi2xLhZB7uRXVlFbUcuTmy/p3ieCbd9v4fPls7A1NSW3spIQZ2eeZmSQn1HIqJhobIyNSSspwcbUVBCmffU787+ciJWREZpuZnQND8DcyZNBMZEogbaODsQmtgT2CMQ3ypfwnl0ZGRVJWV0dvl18aG5vxyPKFy9bW9qNLAiPjUXXzIA6hQIHMzPKZHXEp37Aw9aGpFcFdJhIGBPTlQq5XN2e1ciUxA7vRpSvFzYhbihaWnEwM8PS3YZymQxpCXw9fyLSxkbEGhqklZTgYW1NSnExLm72+ER642ljg7aFDf4+brhYWCDSEhK1UouLya6ooIubGxmlpdiamKBnZ4dSoomdpxdDRvci2MkJUwcLAlyc8HR3xMdLSIL2CPOlV6A/jz9+xDsqECdLC4pqaujSJww7U1PM/O0o+FhEo6yRiX17YCiR8PW82az44TuyKyopqK4mLa8QW3NTDCQ62JgY09LWjoZIA38HB4pra7EzFZ613MpKgkK9MdTVxSvYQ52Qra2piZGuLm6qKsfUxZL65mb6BAXw09q1/1Bs3L/DYP59/Pv49/Ffjn+K9sEnMFCZnJTEzeRkzm+/yDdrZ6vLoOzUXO6dvI13qD+FHwsoLc3mzI1DWBsZs/KXPfQY2Z2K0mqigwVvPXMDA2SKRiYOmsS0bxdiYmnM5P49uZr0lqaGJuTVcjS1NalUlX0/fjWDMpmMWZ8uITU1noHDpnD72jHuvn5EUlYu302YxtYzRwnxcANg0uBJDJ34Ket+mEtBdTU/LtnGiC9GMCYykoyyUuxMTHmelUVGWi6n/hDyMBduFjIpegb6cz3+FTOG9ePCy9fsXbGN7Owk5ixdxcRPBnLnsWC99c3ksSzbsIs3D55z9cY+7qWmcv9sHP0n9EKipU24iwudSiWvVTTqKqkMW0tzFoyZQZduA9m3dzU33r1jVEQEWeXlHNx/CX1jfTYt+xKAP85e4PreK6ze9h3Th03hrwsHMJRIeP3+I5MG9MLOwoYXH1PV8NyZC/eYMLY/dqam+HmG8iL5GZaGhlTV11Mpl6NUKgl0dFTPLD6UlOBoZkZzWxvFUiknDlzl51XziEtPFxiiMhnblv6pVrbmVlXibmWNo7k5SXl5pKbnMiQ2kvyqav5ae4iDR34mpahIPfi0NzPD09qaYqmUvKoqwRexqYlAR0eKpFJa2tqQaGur25+cigr1+d149w5TPT0MJBJ0tbVxt7KiTCYjITeXURERZJQJBC8bYxMyysqEMFgtLZ6+/0DXAB9Bbi2T4WRujpWRkXrQqC0Wk1NZyb0nb9A30Sc6wBtdbR2USiV5VVWEOjtTUF1NkJOAuKSXluJvb8+1t29xsbBASyxm5x8niR0by9jISGSKRto7OtUMybPn7/HV7E+oqKsjtbgYS0ND6pqaCHJ0RFtTE02xBo/TP6o9I1et+JOf1i0g7kM6XrY2JGfl8fmgfv86M4Xg0FDlqj172LpoHWVlOQwcOZnpXwpDr5yycsLcXYn09ON9XhZpJSX0D/BHhIg9F27y9aTRFEulTBsnGFgv+X0Jd849InZkd7p5ehLo4c/T9wnMGPsFWVkJnIu/R9qHHCwdBOelvy2sFo6YwLYrpzHV10da38CT8/FYu9rw/Ho8WVlvWP6XoAmQ6EuYN3gYSdkfSS0u5ufZS5mwYDbautqkPE5h869fY6pvwNDBnzNukWCsWlFQydChsdQpFPiqhoQRrq4E+HVl9orv+XzcED6UlHDkT4EXb2ZrxsYf5nEs/gmu1lZqVyh9HR1ivLzQ1tRkx5mrnPvzKADxT85T39zMvrM38A5yx05lj6arrc3h0zepl9XTe1h3Ut9lAjB/wjCc7d2pqCxi2mcrOXTwJwCOPXhMr9BAzly+j1+4NyPCBMu6k0+fMaZLJG/y8rhw9Ba+0b74ejpTq1CQGPeOkaMF56q3+fkAOFta/pcF2dLeTqVcjp62Num5hZhbmKCvo6PeRJIT0zG2NEZTWwtzM2Oe3nhJwYcCFvw4g5O7L9NjfA/8HOxxUBF/lEol+jo6rP31IME9g9n5/VYexp3hbmoKv369hQNnt+Fkbk5KkTBxXzTlW6Ytm0OYnyenjt7A3tOe+eOH8TQzE4mWFlfP3KeysJLFK2eoF+HdS495dvsBNjYu7DvyE9sPnmfBZ2NoUrEvt+09S1NDE4PG9QYEXw59HR1Si4u5dS0ez3BPLm+7zNbdS5E3NXNk/2XcQ9zpHh6g/vk6hYIVq/5kyvwxfMwrIuN1BhIDCUOH9yD+6Vvqqut4Hy+Y4f62byWFKtKVWEODZQu28OMfX+FhZcWFV68x0NMl0NGRP34VQoonzxnFqf1XCR8QxvAuEdQ0NOBla/uvsym4eHopk94mUdek4Jc1exn1+VCkMgFvDfN048Cei9h72lOeV46DlwOj+8fgYGbG3ZQU/lq5hwMnNqjjvg7ffYiNjTkJce+QVcgY/GlfpPUN6OsK4pe8qiqczM3VrkhikYj3mbnkpxbw7OZDhs0cy41Dl9h5fDPPU9K5vf8Wn6+eTl9/AY/ecfoKWtqajOvfg3N34zG3M6e3vx8SLS01ZHXj1D1mzB3L6zRBgBR36hHdRnUnwNeNG+cfsWjBRCaP/oL+E4ahqFeQ9Og1Yxd9wp1Dgj1ZnayK6atnM7VHD6QN9Xy1eDNjvxiJs4UF587eZdXi6dQ3N1OqGmR+O3MlfScMZv03C9h8/AQje0QjbWjA3NCQu0nv+O3rtUil5QQHC2EzJcUZjJo1lbKcUm5fPsm3W36hML2IPiNjKC6t5Mn5J0z5ajzhKkjvXmoqaS8+MGvqCLoFd6WoOJOC6ipM9PQxkEhIysvDz8EBqQp9SC8tFdyQdHWxMDRUsxvN9PXJr67G1dKSu4nvCPcWQoAr5XLM9PVxs7LifmoqLa1tTImNYc32w3S2d7By0XQO336AXCooEtta2ugWE0Ksjw8VdXWY6evzJi+PMBcXNMViNuw6wcIZY3n8UaBFDwgIUPNDvO0E/oRES0s9tbcxMaFOoSC3spIPRYLH4cTu3VQuyGLupabS2t7O/2LvLaOjPvd+789oJj7xTNxdSXB3dylaipTS4lC0QKFQCrRFihUoRYpT3N0lEAgkhIS4u3tmJpnz4h/mfp71nHXf+5x1zr32fta+1sqL2GTyv+wnXzExMMDb3l6AM8tkyFrMfEEo7CUXFmJrZkZcdjadfHywNjVlw77jjB8uRFmNWq2+W2EglWJuZMSqn/9g8ewJfMjN5UNqJtY2FkS6uwvmOC2kJxBk9suEjU1xVRWmhoZotFpszcxo1ulo0GjILS8jwFEQonmTnk6oqyvFVVXciI6hT0QYzlZW/zqHgp3KWWdr7cGXqxbRrX04BRUVBDs7C98zF7AIhZWVWJqYoFKaM6jfNM5d2UdyQQGFVZWEubjqgSo9AwO49+EDfYNDOPMiCpWFkvs3XjBoaFd9W8nf0QFjA4FUMmPuBqbP+wxjAwP8HByoU6sxNjDgzvv3dA8IoLy2hreZWcwZJZjBPH51m5TCIga26Uy3buNYs30B3nZ2/LTzKO17RrBmxncMmDia0SN66f+/e8/fYGJhStyjOPzb+9MxJIDc8nIcLSywMDYmKjWVP9ceYsxiAaE4sm0b3mRkEODoiJWpGYfu3mNity4MHTKLccsmEuYmTPanQ0EsEvH69hvWL5+BSCQiKT+fqIQk1k6fw/4rJzGUCyYsoS2ha3R6OuZGhiQXFNIzMJBXaWk8uPGCqZ8P5tzNx8wYNZC9py7Tq5vADHWxsuJWXBwBTk742tsTHNiBw9dOsGHBNioqCtHpmtl9YpseCj565EIGzhhIaV4ZD8/e49c/vsfe3JzPxy7m6Olf6dVlBI+eXmRgP6HlefHaHxhIpaibmkgvLsZPpWLX6cvUVdWycOoYftp1lEFDulLRkj48ufOK1t3COLzhOMlJr5m7eSUGRgbc/esug74cQNSNVwR3DaaTvxBKx2XnEOLsjLOVFV06j6Kioohj146xePpqbt46xFdzNlCYVcDZ89vQtFwWu05cQqPWkJOUg66pmZ9+nMu8uZswNDFk8YqpjB88FXfPIL0a1FdfjWLnbyfoOaor3QMC6Np+MFO/m0vnNqGsmv0zK7fOZ8bIL5m9UUCV2tpa4u/gwMO375nSp4e+BatSKpGIxRRUVvLjhj+wcRYi2nGj+qBsSXsOXL7FoC5tWb9mL7OXTGL1nF84e34b19+9I+6lQO7r368TOp2O5V/9wNlLe7jx7h1j2rX71zkUgkJDdX+eO0e4mxsXoqMJdnbWK+Bkl5Uhb/EZ+NT/drK0RK3VolIqGTxwBvM3z6Ozn9CfvfHuHb4ODqhbWo4etrYc+Ps6/Xu1w9vOXm8++mlD3boXhdLWnFb+3hRXVxPi7Exsdjbd/f05+fgpdtaWRLq7k9NS4/hk+pJfUcHP327nyKlfqG6oJ6O4hAh3d+Kys/mYmcOkHl31+enSr37k8MmfqWlooLK+nsS8PHYt2cKe41uoaWggITOH3ct/JjiyHQBDpw+kjacnSxdtoeeEHkzu0Y332dlsXrOfC6d3kZCZzNOkJIZGCISoGV+v55tlk7h84QGTJw7ScxievE/AwdaK35bvJiHhOXsuCKHliimLOXRhPwumrKTr8N4c3rqNr1YtY864oazbfpg+gzoR5OSkh4IrZDKmTlzJnPXTefH0HYP7d8LeXMnJWw8JCfRi6/K9DJk1BCd7YQGvn7UeU1MLJBIZFraW9JvaF7VaQ1leGeFhvryMek/Xzq34/ReB+zB76ed6UI+5kZEe89E5sgdHrp/C1syM9OJivcrR0M79GDBiMnOXTOL6nRfMHj8UqUTCheho+oWG4uXqxx83zpH8IQOAOWOHEpORQaNWK8ifZebgaGfN2T+uMGhyX7zt7ZFKJGQWF+PSYgArFYuxNTOjoq6OiSPnsPOvTSyc9j09PutDULgPCpkMe6VSn25U1tVx8KdjHD26geTCAq7ceMoXo/uzbfcJjM2MGTG0O8/iEugcKkScVfX1mCgUXLvzDPcAN4HX4+BAalERlXV1WJqYYGNqirmRQIiKz8klI68QE1MjfFQqgpycOHjrHq5O9pRWV2OiUDAgLIzsFhxERnExNmZmvM3I5MnZx2zdtBCFXP6vcyi4efvo4t/HkpArSGd/4rADONs5MenLpQz5oj/Xjt/hwvE/iIp9RkphIQZSKY1aLZsWbaPDEAGGPH/ySNKKixjYsR9jpn1DcNdgfB0diEvJAODM1hPExj6gvEwACqXk52BuZMTDhAT2rNxLTMwdwsJ60nFoF+Z/MZLD1++htFEyso3gAdipw1DW7t9AN39/FHI5d+Pj+WrIBH6/eJSs3EI6hQSQVFCAm40N29YLEul7dq5gwdIttOoTQcb7DJbMmkBcdjb5FRWc3HyKdkPaM2fcUD2X//t1e+kxuitikYhB4eEk5OYS7OLKm/Q0gcyjVHLm2A2GfCZEI9qmJlKz8tDpdCwYPZq84nzisrPxd3BA29yEVCyhtrGRBV9tAGDRxq8pr6lBKpGg1mpJjE2hQ4cwZo78kl+P72T/+iOEdAmhey8hUhjTfSB7Lp+itYcHN6JjmNCtsx4AVNPQQFV9PWlFReS0sDwjPD2oV6tRNzVhJJezfOaP7Dv6E4WVlfioVOSVl9MppA1p2YLtnVgE9WoNuw+fZ+UswaXpYWIivYMCSSkswk+lQiqRUFojpA9V9YJEvLOVJbWNjdyJfkebQF+CnZ3ZcuRvxg7uSUxmBh29BQLYn2evY+1kQ2tfLyyMjZFJJPz+10UWTh/Noat3GdqtPTqdjvK6Or1k+6f5USmVNDU342VnR1rLht238Sg7di2nUavVX15noqJwtrKiUaMh3M0NiVjM1ZgYBrcKJz4nl7v3XjJr4jA9oKqmoQFve3vMjQz5esoPHDy6nuzSUhwtLTnz4AmJLz+yaN5EvevWz4u2cvDkL6xbv4+x04foI6uYdx/5euRAlqzZyVdfj9ajPreuPYBHiAfjxvbDVKEgraiIbgEB/zqHQnBoqG7CnOUERvggkwhhboNG2CC1jY142trxJCmJrn5+nI+OFuir1tZom5qobmggu7iEUHc3QFBqKq6u5kNuLt38/UnMz6ewshJHCwvq1WrCXF31fHiAe09eM7hnB95mZhLo5IS9uTn5FRW429iQVVrKm/QMWrm7sW75LgA6Du9IoK871y88JP7Ze0Z/O4ZeIcG8TEujm78/12Le0tHXh5TCQuJihUVfXVbNt19+RnJhId52dpx5/gInayuyC4tRN2qY2LMrkeE9mLdpFQAqR0Hm29bMjJWzNmJpZ8OCVVMJd3Nn+PD5TF/9OUpjYz2vXiISYdLiB2GiUPA0PoHinBKyE7OZv2ACd1/H0qRpwtVVpX/mlXV1GMhkmCkUHNl2hm+/n4a/gyP3PnygpLqabv7+vEhJAaBXUBB34+PpHRTIm4xMzh65xvipQ5g5+musrFS8eHGZQ/du0r3FXSnEL4JxM+ZSlFXEvZunmbZ4KTMnD2dA99G8ir6Bm2sgv53/iy/7CUCewiJBD7GwqhIXK2saNGrORb3iwOrdHP57BweOXOT7+VP0qNVhQ2YxYOog3tyN4fqFw5y8dwVXa2tmT1nN2h1LmD1+AYO+GM3k0YJyVFV9PXKpFBcrKwb2n0ZaWizb/j7Al/1HEpMYw6/bj1KWV8quHcv1AKlDN+6iMFaQEZ/J1b9O8/jpBSJb9cLe3oMvvp/OnmVbCW4dibpRiEgXrpjC1+MXMXvzAoZGRODm4seWs3/R3tubob3GcOjiQUb2GMbVx4K3x51nr3HxcKRZp8NBqSTczY2CigosTYypbmiksq6OQ4cv4R4krGuRRMywjm1JLy7m2tXHjB7Ri8Uz1rH4l3ms/WYd+09upaq+nqh3Any/LK+MIYO7MmP0N3y9YREWSjOGRkT864CX9u7bt+arhbPp7OuLpqkJ6xY5dlOFIY8SEzEzMsLDxoaS6moKKivp5u9PrbqRAEcnFkxfi1uAO76uTsgkEhLz81EplWSWlCAWi/FTqTh2+ga92rfC1dqapuZmPubnk5SfT0l1NSKxmEZdE609PEgrLgZ05FdU4m1vz9vMTJwsLfF3dMQhyIXWXcLQiHV08vXF0tmapA8ZzJ0yipjMTMqqqon08ACRoNLbPzSURqkOe3sr3r6Ip3uXCJRGxhRUVlKjbmDbkh3MnzWRZomIxPx8EqKScPJypbGuESdnezr5+PD7n+foMa4nv65YSPcxI1EXG3P+/DbWrl3DnUevGNKxDbZmZqzf8Aet2gTyKDoWQxNDxFIxrQK8MXexxsLYmJsXH3H75FW6DuyCWCRi07xNLJo9mcVTV+IR4cfWVd/i0aotbs4qDu47R6vIAPwcHDCUy7EzN6eyro4f5/2CVbAr+cWl9OrRFicrK2R2tvQb14fSdC3Ofi7kVFeSWlREcnQalcVV1NfU4ukdinuQGyXaBlQurhhammBm64KZrRJZkyW+gZEEt/EnrbiY10mpGBkaUK/RoDQ25uyxswwfNwRvPzeyS0tRNzVRWV/Pts0bMRBbMG3BWCwdPOnRLhxXa2twtcTTzo5dW7YyfMYE3r1PJjE9mwh/b95mZlJcVUXb3u3wb9ManUSMkcSWBhMJPbu1pkO3CBLy8jAzNKReo8HE1IhgVxfcPR25dekB/Yb35uaVp3QY2BUDQwN6jOxFpy6tCIr0JbRNAFmlpSS8SGbRNxOoqKtDauFAx4ggzpy/i6u3D1bONvi2akWItwdyqRSdgRQXK0vKamuJi01GZCjD1dqazJISHr//QG55OV07hOPuaI+zvQ25xaVklJaQmpJFh45hBDs7UyEHFFJCu0aQlJbDgNatkCpkONnbUC9uBokIr4hgoq+/YuqYgWzasOEfAi/900QKL15GodY2YW5kRG1jI4uWbAFg9uJJVNfX097bmzvv3+Nha4u7jQ2L1+xk7YoZGMnlerISCDTfSHd3UoqKUGs0hLq6IhGLeZwo9HB3n71CWIivXrzC0cICTVMTdubmvM/JIae0FCcrKyyMjLj8OIovB/dFp9Pp223OVlb6jVJUVYWLlRUZJSX4qlSU19bqJcdqGhr0jsGNWi1x2dk4WVpSUl3NkumruXX7MCDUKEqqqymrqdEXAmsbGzE3MhLSgqIilEZG5JSVUVJdjY9Kha+DI1V1Nai1Qs5vbGBAVmkpKqU5L1PTWDd7A01NWo6d342lsTEGMhnNOp3eiu/T+2rW6RCLRKQXF+NoYcHjjx/pGRhIWU2NIP/lHwLA6Sf36RMczMFb95jQowsl1dUcPXcLS3tL2oUKkvPrv/6eU1eEdOlVWhoZCZk01jdi62rH+B6d2bjzGObWZijtLDA0MSTCw10fGjc1N/MxJplZk4aTWlhIfkUFvYOCeJuZibOVFaeuP6BHpwgkYqESX1ZTy81Lj/lsXD/SiooYHB7O28xM7j2MZuHnI3mbmcmUoVOY9eNyAL7o14OiqiqKqqqQSaX69XQmKooeAQEUVVUhl0rRNDXxMFqQqe/RJgwvOztqGxs5df8xnq6OpGblEf80nl9/mEt8bi4SkYgTJ28AsGreZLb9dY7PR/TlfU4ODRo1fYNDeJ6cTNSLOOZMGMartDS9PFqwXyS1tZUUFmXRqNFw+MY9RnRrz6VnrxjSoTUmBgoS8vL06QzAL3+eZvG0zxg88Ct+PbCGg39cYPPqWfx58y7je3Ru0S4V6i5WJiaIRSKO3L6Pn6crnra2OFpa/uukD75BQbp+Q6ah1Wj5Zt44kgsL9S3AqZNXse/PNVx/+45+oSHcjY8nwNGRJp0OZ0tLftl1HK9WXvw4U8D1X3p4mdzycmobGzE2MODpvWjun73O3F++5dbROwyfNpCDPx3DxEJoYe7ftZKS6ipSCoXNd/fZa3p2iODMuTvMmDQUqVjMniMXcPYTuiEejvak5uTj5mBHRx8fXqSksHTKUvLzU5m9dg0egW5UlFVhYm5MG08B8ORuY8uF169xUCqpqKujo483vx05T9/e7Vu8B4sIa+FdgMDlP3rlLhMH9SQ+J4eiqipe3oxm+Lg+PI+KZebogZgoDFm0ZgcA9m52BIb50M3fn9+OnmfO4hOq5AAAIABJREFUhGHUqdVIJRLyyssJcHQkpbAQ2SdS17NoAnzcOPDLCf7Yu5p5i3/Bzt2exrpG7p2/wqkrfxKfk6M3W12/7TAxD6IJ7dKKHxZPZ/O+k7iHuBPq5sKNuy/o06Md5TU1XDwhCMlOnCooZxnJ5ViZmJBRUoK2qQkvOzsKKysxNTQkITmDLq2CASiurqZBo+HnhVtY+dsSrExMmDLiKy7eOoahXM7VNzE4W1thbSq4MZVUV1NYWcmb+2/pM6QziybO5/HzS6QWFTO610iO3ziF0tiYpwlCS3LbgvU4OvowasEoKooqsXK0wtXWBpVSyc4dJ9A167BysMIr3IvWLXP23fwtlBTloVTa8u2mrzFoaT8aGhgQl5lFUVYROUk5fD5VSIHKamowkMlo7eFBXHY2NQ0NzB83h293rsXP0YExvUbw07E9+kPBSC5HaWREg0bDt4t+ZfjMwUS6e1BUVcXJ49e5evwEPYcOJ/qBIOa7aNsy6tVq4p/GM2v6KI6cu8nAPh2orKunUaNh2/Lf+fvcVkYOnw/A99sXMqLbIP66eRa5TEZbT08kYvG/DnVaIhJh62LDxsVzyUnKJinpFbN/XAnA+MWfYSCVsnvprwy/d4J2Xl56opOZQsH3C6fQqNWyx1LIlwsrK1kxZQknrhxEJpEwY+sWtp89xOMrz7l58Rjfr5lJ+yHtCQ4RGIa34uL4EJfC+0dxLFo1jdBgH5p1zdw4fp4O3SOIe5fEnh/XMmHmAgC6fxPEokkL+O739TxLTib6ZTxDpo4lOyGLg5u3cvDSEXoEBHDh+Uu9L8P+67dxdrTj9fsk+rSPoKq+gSXTPmPN1oOMGt2bjt7eZJeV8ftfgpxlRMdgzuw8Qo9OEeRVVDCydWvslUpMFArmjx9OVX09i9bs4Nc1AmBLrdWQVVrKs+RkOnduRVVDA3fj3mOrNGfHir0M+WYoPSNC9B2XmUP6MWXGWrZtX8LuM1fYtGEetY2NnLx2nx/2/0heRQUfP6QT2HJL+bb2YeoXQ7nx+CXHHz6hJK+EwYO66PUTxSKI9HCnflQ3QBAxDXJyQtOk5WN+AQNCQ6moq+Pe+3giPT14/uEj/dtH0tDSITJVKLA0Nmbq2i8JcnIiJjOToPA2iEQinnz8SLCrC74tHQIAV2sr5FIZmR+zycgrRK2u1/9dU1NLPGxtKamuZnhboVC6trKYBdtWCe3a10n4SXzp7O+HtrmZgWN78e51Ag//vo9rgAuX7jwFoO2gthzcuA07lTNedrakFxXjaGlJenExgyNa8VvsWawdrfWFxvTiYtq02PI1aDTodDr8g1vzWft23IqLY/ys2ag1Wk5dEJy/Rw3pgbmRIYsW/srs5Z9jolCQXlyMRqulx6COOPk4oWtuJjtRAGAJz1AQfrkf/wErBysScvPwUQmiw1+vm45ELKZVT6EjFeLiwrgZs3kZ9Z6+Pdvxv3L5/28fCiKRyBfBHu7T8ABWA0oERefilq+v0Ol01/53/86/x7/Hv8d/7/g/kj6IRCIJkAu0BaYANTqd7pd/9Pdt7Jx0c1Zt4NsvPyOrtBQPW1sSW7QFahsbeRkdz5fD+7H37DUiIwKIS0hl2sDeJBcW0N4/lMz8LL3I6Me8PAaGhXEzLo6DPxzm/IXttG0zgIdPLyCXyrj05g22Zmb6KrO5oSG1jY2429iw48DfOHk7kpuSx5xpo4Rcv7aW1h4eeq0DbXMzPvb2HLh0EztnWwaGhRGXnc3Vy49Y+s145i74mbvXThETH6VHr914+YashCx8In04t/Ucx05uxM5aRVpuBpklJUzoP5Y1B7fxaSbU9Y1M7NaFfn2nMH3d11w/cIPJC8Zga2bG7ztO8euP8/jt2HnmTRRszQ1kcgYMmIHKzYleE3sypFUrJGIxUamp+KlU7Dt+iWeXnzBy/hgAloybRHJmEgFeISzd8iuZHzI5vm8re6+d5Yfpy1h/8GfKa2oZ1XLTXnrzhqXjZrD20E4y32cS2j6ABrVGjwfRNDfjoFQSmy3Y3hlIZXp7OW97exyUSl6kpNDRx4fHHz8S6e5OZmmpnvNfVV+PqUJBZmkp6QmZ9OramrzycnLziwn0cqO2sZFrp+5SWSLURHwifFB52ONsZ4O3vT1V9fW8iP9IpL83IpGIW/ejmDV2CLtPXwZgRN/OPP6QiLu9He42NtSr1bhaWxOXnU1ZbS0arZZW7u7klJbq3aTTC4sIc3OlvLaWstoalEbGqLVaQl1ckEulZJSUUFxVpZdj87Kz421mJi5WVuS1WPDllZdzcsc5Nv6ygMeJifg6OOiNjRUyGWKRiJiMDMRiMXnl5aiUSgxkUkqrayipqRG0KlpqXyEuLtyMjSXExQXflrau0tgYA6mUuOxsSmtqkIjFelRpv9BQ7sbH0zMwkPsfPhDo5PQPU6f/T6UPPYFUnU6X+QnP/r8ySovzqSiqoKy2FoVMRlRqqv7hJRcUIJaI9D38irpa7hy5g4OzHbZmZkyZtZJGrVYPVor0cOdJUhJlpZU8fXqW+NwlRHTsytOkZNxtbHhy6RmOXg44+QihsUajpY23FyYKBSKRiOhbr3HwcuDPv6+zaPIo8srLeZOerhcQsTY1pby2lvsnHjDo60EYyGRklJTg6OXI8XuPuXX5OA0NtcilEoqqhEPB1taSH2bMxdraidSUN5TWrGTavNX6Ymd9fY2+ngBAizZCz8/68/r2G75ZNonY5HQ8Im2ZPX88WaWlBIb56PX4BgyYwbVr+9h57jLJb1Io8vLC3tycK2fvIR/Tm3adw3EJcEUqE6b7y29XY2xgwJeLVxDRyp+hvTpw58I5Lu27Qo9hQzGUy1k9fxldbx0H4PH5p3yxcBGh7m6YGhtRkF+Cr4cLH/PyUMhluFhZC9Tllpw/r6KCEBcXDKRSahsb0TY308nXF51OR2SLGElpdbXeJyLAyQlzQ0PcbGxoaFTj0yJ44hhoibOlJddi3uLg6UBBmmDuMrhfJ1RKJQ8TE/WCJ/eO3UUxQ4Gvg4o+3dsilUjo24LILKisonOAH44WliTk5VFVX49UIqastpaufn5ce/eOitpawt3c9KSrmoYGwUNTp6O1h+AXqdPpMFUoKK+ro7CyktrGRvLLhMvI2dKSYGdnrr6JoV9YKC9SUrAyNaXHxB4oZDL8HR3IKinldgvp7Zsxg0lv0ezoExyMg4UF9epGHC0sEalE5JaVEZOZqddorKirpVtAABZGRjTrdCiNjZFLJOSWl5GQk8vQ1pH8dvgsbTqGCnuquhovO1sa1Gr6h4by57U7//B+/D8VKfwJvNHpdDtbTGG+AKqAaGDR/8x1usVmbgaAlZ1dRH5uLi9TU9m8eCcTV0ygslwAqni7OnJ422ksHayoKq3C3NqcJfMnYWliwuG7D4h9GMucueP1Sr+34uKQSaVc/fM6ShslgR0DCfV2Jz4jCwulGWXlVTjaWetv8UBHR16mpHLjwA3evLzP8ClfcP7gIQ5fPkJMYgp7V29h9qZljOwooA1X/7gXY3Njvpv7OWeevyAvOY9hA7rgbW9PVGoqJgoFl689olW7IJ7fFYRZirOLCeocTKsQX65dfMicL0exbKlgPltbUUtzczNjvx3D2d/OA/DqxS1mfLeUdXNnUlJWyLrth3EJcKF1gA/PYuKZ3L8HYpGYZ8kCDuLknguE9wpn1vBBrNt1hJmThpKQl0eEmxtno16ya8lmABoaBPSdl1c4SjsL/Nr4smHBXPZev0BBViFWDtY4W1uxYvpK1v6+Bp+WHPn6i2ikchlD27XG2c6RiqoyKmprUbRs6k/Q5E98kg85OUjEYuQyGVKxmLSiIoKcnKhTq6lpaMDC2Ji/L99nRIsZTGZJCfZKJX4qFXfj48nNL+bzXt3Ye/4aiS8/8tumRZyOiqKmZU1I5TI6BPrhbmNDbnkZJgYKUoqKiHBzo6ahgTP3nzKkc1u93qKDhQXWpqZklpQglYgxlBtgaWxMVmkpDkolMqmU5IICDGQyvYHPmHbtKGi58RPz8vQmveYtUGO5RCL4VLRs2ga1mrTiIhrUGpLyC+gTEoypQsGJR09p5++Dj0pFZV2dPrdv0GiwMzdn7baDLJ01gcS8fO4/isbZ15kBYWH6A/OTGNC77GysTUxwsrQkNisLqxYPTB+ViubmZkQiEXHZ2YS1iO1eeP2aYRERxOfmklpYiI+9PUHOzv893QeRSCQH8oBAnU5XKBKJ7IASBJ/JdYBKp9NN/c9ew9HFXZeUnEBKYRFFVVXYmpnpw6ZO4Z3o1ms04+eP4tTO8zy4/Tf3Xt0no7gYU4WCyvp6/t5/mbAegjPOV0P6EZedTb+23encdSRDZg3Bz9GBmI+pGBgZsH/lDtLTY2lsFIpTH9M/YGpoyJWYGNbNWEFS0kt8fdsydMoEFkwfw+8nL+Po7agPpTt3HMbK33+go7cP5kZGPPn4kQUT5rHn9G5ik9Lw83Ql/mM6vdu1YtP6PwDY9NM8vhi/nM4juxD7MJZt25cQnZ5OWU0NJzedxC3QjV/XzdPrUi5buIXP5o0kL6eIaQN7k1lSQpinL29TP5JXXk5TczMvX8TRubPAYswuLSX5jQA0Wj17MiVVlXpR0katlur6ehq1GuZNFnD3y7Yvpb6F45GeLaRF1jYWLBozjUPXTrFp0TZ8IwPoPaIrAOO79eXkw1u0cnPj4NkbLPx8JNqmJgxapPVrGxtJKijQsx6dLS2pV6tp1GowkMr4Yfkutu9YSnZZmV5WvkNoe9IzE/RrQN3UxN9PnjOxexdqGxv5mJdHiIsL8Tk5hLu50ajRkFIkWK7ZmJpSVV+Pk6UFVfUNPEpMxMbUlG4BARy4fpuRXTrwJCmJnoEBAPx18wEBPm769p5UIuHUgydM7t2dex8+0M5LsLP/JC0HQsH606HRqNXiZGlBXnkFRVVVXDp9h9WLp9Ks+w9XrNfp6Sjkcn3EYSCV8iIlhQh3N1IKi3iTlMr4rp2Iajl0KurqcLOxwUyhYNee06xfPoPkwgK92O6bmESmDRdargBbfjjAzp3L+f3kZcIi/fG2tyO/opLs0lJGt23LjlOX6NYhHDNDAdD2689H8G/nT8924diZmxOblfXfh2gUiURDgVk6na7P/+R7bsAVnU4X9J+9RmBIiO5tTAwarZbo9HRszcwobwnj/FQqSqqrKampwdzQED8HB5qamxk9ciFLfp5NgKMjcolEf0sZtOR7n/Kuoqoqwt3cWP3rAcaP609sVhZhrq56c5d6dSNWJqa8Tk8n3M2NwspKve/Dum9+4PDZnVTVN+BtJ8hiyaRS3qSn42lnx7mHz/D3dsPdRmhvPUtOFlh0CgOeJafofR8uvnhFkLuL4PtgZYmvowsFZSWkFxcT4OiItrmZw1duY+0o4O4/Cbs6WlpSVlPDh9xc+oaEcP55FJYWZmxdtIUr1w9Q1QJpNTc0pKiqCmMDA8QiEbZKC04+e0oHb2/EYjGv0lJRGhnTzktgJZbW1JBVUoK3vT35FRVU1tf/f3wfniQlcWynYOW+6LupuFhb89vhs0we3R9bMzPOR0fz4moUYycPJKWgkEdnHrF180IA7sTH6+f2E6b/l9+OMumLwZy7cJ9hQ7sT6OjI+l1/fVonZCVksee35TxKTOTqqbusXTGD1T/uxTPMk4baBvp0b6uPBhPy8sgpKCbIQ7Ci87a3JzYri2O/n+fHdbP1vg+WKmGOB7aLxNjAQG9Zl1EsdBK27znJ2m+nEZ+bS6Cjo15qXVgXgmFMnVrNq7Q0op/H0bpDCAZSKeFubqQXF9Pc3MzuXwX+xo/rZxOTmYmhXM7921HYONvweb/uJBcU0tTcTJCTE1fevsW1hVJ+5coj9m1cz+Wntwl3c2PNtoP4tvbl5sGb7P9d6JTEZGQQ5CwcZCJE/LL/FMu/nsD1d++wNjVFLpHgYGHB/qOXWDlrEo8SE/FqWadSiQRLY2OKq6vZsH7/f6/vg0gkOgnc1Ol0B1s+V31ynRaJRAuAtjqdbux/9hoRkZG6jYcOkZ6RS7vQACrr6lg5QxDg2HN8C3HZ2QQ5OfEmLR1zE2P8HRzIr6igracnYrFg7/XpUIhOT8fJwoLUoiI6+/pSr9Fgb26GQiYno6SE5IIC3Kyt9e2w4upqtE1NOFpa8iEnR++R2CdY6KG/y8rCztycXduE/Lr32B5429lR0kJCUSmViEQiahoaUMhkmBoaYiSX06jVkpCbCwg2bwqZDKWxMaXV1Tz6+JHB4eEkFeS3aCt48C4ri5AWZujTpCTCXF1Ra7VEJSTRJSSQwspKnr+IpXe3NsydtISzV/Zz850AtBndri06nY6XaWnUq9VU1dczum07zkS9wMbUFE87OxQyGbdi4wAY3jqS1KJCfFUOvEpLw0guJ8TFRf9sLrx+zYjWrfHzEdbPmbvnCXJy4kVKCjqdjlcv32PlaI29jSXFZRUUZBSS+CKBH34SNCb3HxFaq2X5ZdSU17D4++lkFBez7us1HL+0jxXztzJl2Xj9BuwREEB2WRl+KhXaZgGQVVxVjUgkwtLEhIcJCXT199fDnM8/iyIrIYv23Vpx9o8rzF08CXcbGx4kJBDs7My7rCxmDh7LibuXAAGsZWViQkxGBneuPMXI1IiF00Zz90M87b28+Zifz7ULD+k7pDNX/74HwNRpw/WR28Xjt9iw6muWfb+L+1cv8ujFNU7cfoivt6ueudnZ14eFc3/mzz/WoGnScvrxc3qFh1Dd0MDMcQu4c+84h27cZVwvIfry9Qhi7PS5zJg5Cldra7JKS3GxshJMbnU6bM3MiEpNxVQhyOybKgxJLSyknZcXFmZKSirLCQtsR+yHF9z/kKBfr58iC5FIhIetLb16jOf6rSPIpFLkUun/fSt6kUhkBPQGzv0/vrxZJBLFiUSiWKA7sOC/ep3s7AJO7DiLi4sKiUhEXEIq568e4PzVAzhYWBDk5ISBTEaouxttPD0ZO3AydubmvMnM5F1mJs9bFqtOp8PS2JgHj1/TJziYO29jKa2u5krMW54mJdGo0SCXSLAyMcHV2hpXa2vmjJrGu1cJuFhZMTwyEl+ViuGRkVyKisbU0JCOPj7kV1SQk5RNTlK2XmNgYp8RLJ62CtMWp+bUoiJuvophxKAZ7D5zBblEglyYCHYfOMvxG/cZM2Yx5x4+p72XF+9zcnC3saG1hydvMzPZ9d0+Tly9x4mr9xgWGYmhXI6VqSlrp8/hyfsE/B0cyE7MJq2oiGPndwvKvkpzbJXmRKWmsvrnP4hwc6O1hwcdvL05E/WC0W3b8fRxDM+Tk3mXJYh9jmrbhuTCQpwsrfiQmyuQppqa2Hf5JvVqNc+SkxkUHsaydbu5+ewGN5/dwMLYiIS8PBwtLWnt4cGrG9FM6NaZV4/fkRGfybOLT5k8f0yLa7Uh8U/eY2BkgJG5EVWlVZTW1OBpZ4d/SDgyiRSNWkOQkxPXD93k+qGbNDU342xpiVgs5n12DlKxhDq1mlOX7yGXSDAzNORVaio33r3jxrt3xD2Kw8FTRVZuIaV5QrF137nrZGTk0dTczJ2zD9nw1z6kEgnSFoathbEx7rY2NGm0pL9PZ9+561z/6zbNumbyKyowtTTF3MiIOd+MZc43Y/UaEGW1tVQVVwrF0fxSug8cyo3YWLITs8nKLxJsA5uaOH37MUZmRpx49AS1tonnl55Tp1aTW16Om7fA4H374B3zFmxm3oLN/HHtb5Z/+wWHj1ymoLICU4WC0poaPZJVLBJRXlNDbUMjtQ2NxGRmYq9U8iE3lz1XrmIklzN0wlT2nLpCwrsUGrVajj14rPfCTC8uRqfT4RcWRoNGw76LN/7xff3PgGj0CgjQ3bh/n52/Haeuup6/j+5g9sr1AHw+YRCu1tYsX7+HTau+oVmn40FCAtn5RXzRqzsl1VUk5OaRnCncyo//fsyF07soKs0nPjeX7esP8ue+79l69BxFmUUsmT+JhLw8fXdj5uff8f79Y1bs/JW+7SJQa7XIpVJmT1nNpt+/I7e8nG1LdzJv4ywAegYGMm/ZFgaM78XDK8+YMnUYxdXVqJRKxg+eyrZj2/Cys6VRo9X7+I0dv4yhc4by8tpLxn0xSM+myywpoZ2XFznl5dx9GcOl3wVHo817V3Lu4n1c/J2xtxZC4DBXF2obG2nUaPXQ6mVfbwTgQIs7dlJePr1DBWjyx7w8nj6O4buvJjJz/gaCOgcztJugnlxRV8uL9x/5rFsn9p66zLRRAzCQSrn69i0jWremsq6OTb/9xYJZ4wHh9olwc6O4uprrUa8J8HRFJpHgo1JRrxb8HyPc3Nh95orwXsN8MW0ha2mam/G2s8NILud9Tg7Bzs58yM0lyMmJjy1W8b729jTrdNyMi6NnYCDapibSiopILiigi58fNmZmFFdVUVYrdIDic3IJc3XFysSEnLIyXsV/xNfDhXZeXhy58wBDE0N6BAXqaxx/nb9FaIQfp3+/KPAljI05e/k+wwZ25caDKD4f0psnSUkc//k/YDdbdi/j1uu3hHq5U9vYSFtPT6JSU1EaG5NcUECYqytmCgU2ZoJVwLBh81jx61ycraz0Nn7ZZWWYKgz0SszOVlYM7TMBgEu3j2NlYoK3Zyjbzh6mX0iI3kB299ELdO4aQbCzsx4Kbm5oiIu1NcdvPyTIV3AA0zY1cfTPS2xc/Q0XXr+mlZubHrVqbmTEh9xcmnU60nLzae3rTaCT078WolGlNKfbiC78OHMVXy5cRafeQmHP0cKC+x8+UJhRyIOEBKxNTYl0d6e1hwfvc3K4cPE+S78ah4u1sAErSyqxcV5DVGoqRVVVOHo7klFSQm5yLl7hXhRVVeGnUmFkIBSIIvu0xT3QixeXX1BRXEmfHm05f/0Rw+eO4viJ6+Ql5xLSOZwAR0cAXqalUVNeg6u1NTGPXuEZ5smE3l0xlBswafFXGBsI9QQLIyO9xPvd28f48rtJRPaNpKCykryKCh5ffoZcISe3czllBWU8PfeUJ0+EHP7PPwKRyCRsWbCWHaf2sGnRNo6c/Jm7r2NJeJHA5tWzCHB0ZMg3AsR23/FLtOsczq4lm2l3YT+J+XmEu7pRFOrJzPkb2Lv9OxzOeFL1/VoAEqMSURgraKxrZO/6TZhZmeHkZEeAoyOJeXncefKaNr0j9Z4DNQ0NXHrzhk6+vuxd9Su3H57FSC7naVISrjY2PI+KxcbUlNH9hND48OlrmFubI1fIkcik+Nrb8yotDbFYzJOkJHQ6HfkVFdx78hqADF8XpGIxfYKCiMvO5m1CKuN7d2XFzPV8HNSFZTPH8zE/X282c/PgTbSTetE/LFSwng8PxtbMjMT8fHpGhLDoq430ORTMkyRBfq5Pj7b4qVQYzzPAVGFAWW0tM8YN5sSN+4wd0B0DmQwPW1tmrppMQYWAhbAzN6etvw9WpqYcvXiboqoqslNyads6iP4hIWSUlCA1NtanGEt/mUNscjqhLi6ci47GVKGgi58fR2/ex9fblS5+frxKS2PZbmEOTBQKKuvqsLCwo19ICE+SkiiprqamvJrxI3rjZGmFRqvFr6UDZGxgwJOkJEZ376gXZGlqbmbe3PEkFxYwKDwMsUisx99U1dfT2sODmIwMygrK8e32HwzZ/2r8U6g5NyNo/Xfx9aVz/36069cGU0NDTA0NadBoKKmqpssYgYhTp1bToNFgKJNhJJdz98w1ymprcbexxd3GFolEQmSfCBo0GsqKyuk3tAv3Xr+jw6B29O0YiZFcjkIup65RTV2jGmsHK2ycbYjoG4m6Xo22qQl1vZruYUFYOVjhGuRG/2Fd9aGxtqmJrp91RYcOCytbgv08kYolZJeW0r19uFAYfP1RL9whlUhwdvJDLpXiYW9HaVklFkZGPLh8Bf+2fhgayEmPS0csEREQ0JGAgI4YmxvTfVBHysoKMJBKSUh4Tm1jI02aJt48fEGzTkdKYSE9I0LoGRHCs8tPyCsV2m+fjFUUMhmWJiYEdQ7GwcGT3NxkZHIpMrmUJ/cvEdkvkjt/3cHR0ZsXV6N4+eitIN/26BUKY4W+YAUC0ObuifsUVlaiVNoil0qoqq/HQCbD3NCQJk0TlS29+8LKSmoqaslOzKYgoxBNo4bilkKxRCwWRFVlMmoaG5BIxUikYuRSKWKxmPzKSgqrqjCzNsNILketbsDKwQptcxPpuQWk5gsfOemZ5KXkoZDJUMhkeNvbU69WI5dIcLexpbQ0V5Any8gnNyOfICcn8isqaNBosDdXYqZQCOYqchkFlZUtv2dDk06HqZECUyPhFvZzcMDKxITygnKMDQyoKq1Co9VSVluLpYmJAEASixGLxcjEYiqKhEvAtEUU1tjAgJQ3KTQ1N9Og0QjqXioVfioVmhbBl9adepJXUdFidGyCqYUppdU1lNcKXpHmRkaYGxkJ2IiKSgoqKzGQSfVajU06HTKJlLzyCjQtTl06nY56tRpNkxZzIyPK8sv+X6TB/2r8U6QP3oGBug+xsTxPTubiydvMnDlab+N+/9JTnt+6T+/PBvPk0n1SU2O48fQG1qam/LLrOK26h5H8LpXB/ToBQlGpuqGBDqHtmbJgKYEdA+kXEkJUair1ajUxj2ORSCXkpQhh2d7tyymvrWXu7I1cubCfDh2G8ezZBR68e0lhZSWzRkxhy+l9eNsJ3pZ92/dm9to1zJ0wTNCU3Pgnfm39mD6oD8kFBSiNjHiUmEhNZS07lwmiJhuPbCMpMYOeHVpx4epDlkwfy4lHTzi3/RxPn55j8uylzJs9jvvvhar9jL79Wb/vMA/PPODvc1t5mJjIvrWHmL56MhKxGP+WDswnLkNCehaGJoZs+vo7rKwcuXHrEGdeRDGqbRuKqqr46+xNZHIpi78Q5N72Xr7Oi6tRTF84jiVTlrF0x3eYGxrx4M5Lvv58GM429tx690bfntu/8zQz536Gj73a9UdfAAAgAElEQVSK8NBuPHh+DXMjI6rq6ymprkbd1ISnrQ1ikXDHJBcWojI3p0GjIb+igt0b/2LfnpXcjIsl2MmZpIICVkxZzMmrAlO0qKoKN2trxGIxuWVlfMzLp3tgALllZfy58wxbNy0kPjdX71XpYmWFq7UVlXX1fMzPx9bMjNzyctp7e5NVUoK2uZkGtVqvnPxJx0IulfIoMREjuZw6tRp3GxuUxsZotFreZmXRIyCA9GIBnW9nbk56cbFwOGm1JBUU4GVnS2FlFcmp2bQPC8DG1FQfTTVqtWSXlnL32RucPRwIcnLCsKVdmZCXR7CzM2U1NXi2uEK/ycyklasr0enp1KkF6/qde0/Tf1hXIj0E9/NPrlkA27YdZdOa2bzJzCSjuBh/BwfSi4vxtrfDQWlBWW0tMRkZeiLhrK9+ZOP2RbxMTcXXwYGo94nMGNDn/36h8d/j3+Pf4/9/458iUnDx9NJtOHSIcR07cDc+nlZubvpbUNvUxOuEZPq3jeD6i2h8PYTTv723NzllpYR4+BGbloiBVPAouBb1mkHtW/MyNZXHV56zfvkMPhv9LX/8tR5rUwGPoJDJ9C3JOrWavPJygpycOHfxPgFt/PjwMpElM8by6ONHahoaGBAaqsdNZBYX42pjQ2xWFh/epzJ5SG/yyst59DqOaQN7s+v0ZW4fvcGZ89spqBRutj/+PI9/Wz8C3Vw4e/o2s2eMxt3egfisDPIrKlg/dzM9x/ZFoxbek5XKikl9u9G53WB2nNrFvPFz2XFyJ5V1dWyev5nbd46w/8otZg7pB4C1tSNffrua5OgkvlozhWBnZ8wNDUkuLEQsgp/X/MGT+5dYul0oTM4cMoCk/Dw6hbbj81mLSXr9kaKiLPac3M6301Yxfd3XeNvb68Vzo9PTmTxgHOuO7ODZped8+c0oymvrsDQ2FmooSckEODmS2tIOK8wtpiAtH3NbJT6B7vipHIhOT6eNp9BpCXR0pKy2Vq/LKJNKMZBKKa6uprSwDH9vN8wMDTny50V6De+Ci5UVf5+/q7eiz4zPJKBDAEP6CtGh0tiY9OJibM3MMJTJWLliB5s2zWffCYH78M3EYdx5/x5DuZyOPj5U1ddjJJcTk5lJnVqNl50tHja2PE1ORtqSkxvIZPipVFTW13Hp7nPCw3xJSM6kU3ggZoaG+jb0p2hA09TEo9h4RncWVLw+/cym7/awfMPXFFVW4WgpwLYBdOiQS2Wce/UKlVJJaU0NLlZWQtpbW4NEJMbR0hKDljqKiULBrddv8XNzJtzVldrGRr2/ZGVdHUkF+fipHPSakS7W1iTlC6nTwQs3mTFqIGaGhv86hUZrpTmeKnsmTFzB44dnmfX9Wjp3FSigDRoNJkoTQrwCOXz3KrHvk/l8YC/EIhG/bD5MXnEeuWVl7NhxEoCh43pz/MpdJBIJC+aMp3PHYdx5+DdfTPiO3Nwkdp34jbTiIj3tN9jZGW1TE6Fu7qzdeRDTFg7E/ks3SX2byt+Hfuf3gA58vkoAZabEpLD3p3W8TXxNg0ZDoHco288fw9VVxba/zjF/0ghmfzaE7l3HENm1ZdHaWdA9JIim5mYWfjOOpIICcooL8XB0Y9S4eew9upHMkhKO7RFgzs8vP2Hl1GnMXfMT5kaGHLqwn6ySUqobGjh+XpCFC/BxY8oMoWiVnJmEsYEB38zbSL1aTVZJCUYGghnK34+eoTBWsGznZp5feg5AUn4ePioHNFoNHTsM4/aD0xjJ5TxKTOTilX1Mm7qGVZtn6+envrGRpKRXRKelcSA6jvfZ7fBRqUjMzyfxTRKdu0bgY2+vl4drUNnjPVBwxE7Mzyc2OxtrU1MyiovJy8hHrdWirm/E0kKo3D+78QJ7d3tahfhSXlrJwS0nsXO3p9Og9myev5kFvy6ifbdWOFgI4jAmExTYmZuz9ZBAYHt64Rmrvv+Kt5mZ3Dn7kLnLJmNmaEjvXgI0/ft1exk8sQ9+KhU/7zyGrYstM0b0p1GrIczFhRMX7pCXksfyZVPJaJHpi3r1nv0PjmNuY8ayJVPZ8NMBFi+eTINGg0gk4uCJq4hEIjp0DQegk68vw9q34czjZ7y+9Zq2A9oQ//wDyzd8TV2jmqTUbD6mZPFZT0FL1NjAgJqGBt7ci+HLaSN4n5jGkR+P4RroypJFk4lKTeXOo1d66vTISf1xVtniY29PcmEhv6zZz+wVkwl3c+Pe+3iCXJzJKCnh1TMBu2Lnakd9TT3JmbkM6dWRJx8//sP78Z8jUvDy1n3xzTKmfT4UM0NDzI2MKKkWbtlHiR8xMzSkV1AQN969w16pJKu0lD5BQdQ0NuCucuFZQhwfWoBChnI5Q1q1Eh7qzecsmzkeP59IklPeUFFbS15FOfkVlXoNSG87gXwT5OTE31EvsTAxprymlkGtwskqLUFpJBjSRqenA2BhZISfgwNH7j/EwNCAUW3acCYqimt/XGf/76vYtPcEz68+4diZLYhbbp2rb2IwkMvwc1Bx+foTZo4fgpuDGyVlBeSVl/Pdt9voOqYLbi2GqOaGhkS4uzN70Wb6TOjF7uU7WLzlW+rUarZ/u4Vbd44w/asf2LZ9CQABXiF8uXgFZlZmhEcG0MrNDROFgg+5uXjY2nLk2l3u/HWHxZsFE9IRnfuQm5eKTCrj3KuXbFmwifLyQvadP8Corv25FXUfQM99eJaURN+wCNbvO4y9hwqxWIyBXIazpSWV9fUUV1bhbG3Fuzih2i+Vy8hJysHc2hyPQDd8Vfa8TEimjb83sZnZ+KjsaWpu1pPMpBIJIpGIV89iUdoq6dgqiCfRcdRV1TG4T0eySkt5/uANMgMhGsxPzcfO1Q7fCG9cra3Jq6jQ38DJBQW8uhnNgrkT2HdYaPF269OW549j8G3lg5edHXUtaMWEvDySU7IwMTemlbcHWSWC6hbAo6i3eHq7UFFXR1FmEa0jAohNSKV1sC8yqZSK2lpyy8v1mhNyiYQnsR+Y0KMLb7Oy0Gi1vE9M4+n5p8xbPZXbd17QuWuE3sGpsq4OM0NDskpLuPs6FiNTI9p6e1FZV8frhGSKsopw9HKkqUVdq2tYELdfvEFpq2RYRASpRYUoZHIUMpnwfKJi+R/svXdUlGe79v2bAabQhl6GDiJNQLFir9h7SSzRRI2aJ8b0YmI00RQ11VgSTUyixhJ772JXEBHpvUmvAwwwzAwz8/1xj7P3+317vXu/39rr+/az1nP7By6EYRjnuu7rPM/j+B2zxw/n/J1kAOaMHca+E5eZM2UUl++l8MrksdjJZP885KXI6GhTZno6v56/yrfvfMzKdWstvPu4niEc/fsKyVfuMmz6GKwl1ry3dB5WYjG/nL6ESCxizughPDOThAtqaqktq6WhooHg2GByH+by6YfL+GH3EaS2UgYN64ODTIbB/HvbiMWkZhey57PvcXf3Y+brczm18xivblpJxv0s/vj+G+aveoMVy2cD8OeBczy9lcrJ09vZdew8Wfey+PDT5QS5u/PXrTtMG9if+wUFlBZV0FAhNK0y7mSw8vOleDs5kVn+jLjgIM5dvselA6fwDexB5OBIPAM8+fOLnwFoaqomrv8oHtw9T3pOMj/9cYLe8VHYSiRU1DWwaORwjCaTRRdgMpkEt2P8SLYeOsDg6AhaOjuJUCrZe/wiu7/Ygo9PKN3dwkY4ePwY7ly4zEc7NzCzXz9u5woeBG13N9F+fiyctZovdm+w5DjcyctD6eSEr6srgR7eVDbWIbWxock8DWpoa2NQjx6WDvfDwkJcHRywFost3gg3Bwc0Oh3NHR0o5HLS84qJ6inIwIuravDxcGNkRASJOTk8uveUhbPHc/DkVZ5cfcJfh7+2jDIBquoaGRkbhbVYIEvpDAb8XFywl8koa2gg6Uk2CyeOtjQNWzs7GRoWRnljIxVNTTjK5cT4+5NSUkK/oCCa2ttJKSkhQqm0bP4TY2NJKSnBw9GRDq2WtMwC4mLCcJTJ8HN1tSDnXewF67TBaKKssZEunY7kJ9mMjo9DJpGQU1WJn4sroV6elDU0Wk5TDjIZDnI5y1du5Lfd67mTl8fVM3dQBitZMWuipSx4jtAzmY31kT6+PC4poaWzEzcHB2L9/WlQq4WRbHW1xamaVFzEsLBw0srKaFSrifH3J1yp/OfZFPrExZm27t9PrL8fNlbW2EmllnnrFzsP8MLscQR7eFDe2Mjlu49YOi2B3CrBMDNvzrvEDI9h0Gih3PBycqKXry/7rt1kWGwUwR4efPzlL2xd/zqtnZ0YjEbOJT+mMl9IAho4vDeu9vaEeHpyNz/P8pxGRgidaCuRiHClkkclJQCkpuexcsZECmpquHDtAa/Nn8ae4xcwGU28MX86Fc3NZFVWMjEmhnNpaQCoGluYPXywpfatb2tjy3vb+e3AF9zOy8NOKuX07xeZ9rLQI3he++45fYmIiGBWzVjCynUfknUvm1N/7yC1MJvvt/zJlq/eBATn5po183lcUkqrSk1Uj0DkNjZ0GwyEeHpy7OY9ki4kM3PFFAD2fr6PA0e2MDlhMV/s2ciIiEh+OnqaAX0i+WXrQWa9NpVJsb0tiyqvupqtb37Nii/X4OksjPQ8FI7cSs/GzVXBqT3niZ86CK1G2HSuH7iGjVSCWCxG4a7A2cOJfuP6Up73jHGjBnLlRhIikYjGauGo/saqF2hUqzl/4S4L5ybgIJNbxES//Lbewsp47n2YP30FsfGDmPXyJJ6k5DAoPoZhYWFcSk9HJBLx5eubePWLN9C0CTLq6PBgnmYXEhioRCwWU1ldT7eum+qiKhxcHOk3IAo7qZTa1laG9hSw8MnFxbg7ONCh1fL9Rz/z56GvWb54PX3G9BGyMwdF4iiTWRZ5QXUNl369yLadaxGLRBw4fwP/Hj6U5JWjblbjpnRFZi9n2mAhKuBJWbllErFr59+8tGw6vXx9qW9r4++LN+ls7WT46H7/Jt9/mElQdBAZtzOYOGMEkT4+HLl6G7m9HFc3Jx5dT+Xz95ZxLVOQsudll2BtY42DiwMZtzP45IOluDs6/vNsCg4OrqZRoxaw9Ze1lgzCZnPDpLalhacFJbySMJq9F68xtE8vtm3dz9dfvkFudTUvT15AVs5DrphfDKWTE2FKJZkVFXz86nrOXf6DXmF9eZrzCL2hm0uP0/B2d7WMkqzEYjwVCtwcHNh74RpW1mKMBhODYiMIcHND161HYm3D6YeCD3583954ODry6mubmPPadEZEhPOkrJxftx7k882rmZ2wkMKiVDJL8i2MhPRnzziw8wQ+oT4kHr/I9cRD9O0zhsdPrtOoVjN2yGR+/Hu3Be2l7+4mxt+fdV/vQWorReGuYHB8LI5yGTcfprF8+gS27j7MysUzAIjtGYuHRwAr1r+LX7APk3v3xkosZs+5KyweP4pbubk8uvOU0QlCjf3R0rXcvXeC3rGj2HlsN+mZBayZN53fryXy5ap3OXPrLKcv3Oa9pQKU5e8HD/luzQZWb/4Ydw8XMh5m4xvmi5urE3V1TUT1CCTC/JqD0Dhs7ezE2dYWO5mUnl7eJBcXE+jmRnZVlQATsba23AXFYjHOdraU1DeQnZrPzMkjuP4glZheoXg7OXE9OY3ch7nUmUOBp6+ejqeTgqzMIgb1i6KmtZXMpBzC+/XExtoafXc3s/r35/fLAkOgZ5AfJVW1DIzoSXljI3qDgWlxcdzOzcVOKuX2gzT69Akn1MvLsghPXbpDcFQgjbXN9InsQbfRiNTamgA3NxS2gpy5uVaFV6Cg55g7cCC51VW0abqQWFlRqVJRU1lPYWohb65ZwNWUNOyd7C0muRBPTwFr39pKt9FIaUMDrvb2uNjZ0dbVRU5lJZUFldg7C3f+VyaOITEnh35BQbg6OJBTVYmPswvOdnbsv3mbEB9v8korUNUKepU3F83ir5t3GB4ThdFopFql+ufKfXBx8TLdSk/haUkpUqmEquJqFkwZA8Dk0fNY8uHr2Dvb065q5+mNNJa9O59Hj7NZMXsiGRWVpOcUUfxUsKR+9ckqth08xaOLj2hqqGFgwjCGjh/AjdN3sVPYce9cIunpiQQGCgaSfWd+QyG3pbC2lkO7TnH+xF6mzF5GXnoaR87+Sm51NVdO3GLT2hUAbPnlEJ4BnsRG9jATnERMGz2Xj37+ilPbTjHyhRG0NrWxcsE0buYIEV49vb2ZM2YW4eED6OxU8/WezxCLRIjFYh5l5JHzIIfNn79Oivk0kp1filQuxcfbnTBvL5ROzvTvO460p4k0qNVkPHvGrYsP8fAX7jSBPf04u+c8YxeP49PF/+Dw1RMobG3R6HQU1taa4+cc2GNmQE6fNpLm9nZkEgntXV04ymTklFWwdNwYzj1JpSCnlL+++4UfDgrMhwlxA7j85BF2UikVzc0M6RmKQm6Lzuw6dLK15XFJiaUTH65UWsxOdlIp+67dZPKgfjjZ2mIw5zi+9NIn7N8vSNm7DQZaOju5m5/PrP790eh0JObkMCk2lvauLsRiMSaTiaxK4XQ3OFRI8wLBRv3N70fxDfNlclwftm7/iy8/XMHT8nJCvQRtybqNP/PCK1Po5euL0WTCViLhelYWY6KiSH/2DKWzsyW01k4qGJCK6up4XFBEVKA/Ub6+iEUiRCIRbRoN5x+lMnvIINTmPAkQgnQjzXd6pTn67URKCtPi+iBCxP4rN3ll4hi2/SU0k0cMi7P0YxoqGnh5egJyGxvUXV1UqVTcTnrKnHHDLOEx5eU1zBk1hCvpGcSHCacZZ1tbUsvKGNSjByfuJ9EnNNhSYuXX1PAsr4LVC6YjFonIr60l1t//n2dT8A0MNkX2HMGitS+zaKTgp3/+vM6kPCY6wJ8ANzeK6+pwd3Tk1LV7LJ0xnga1msnDp3Lhzjl+/vkoAPMXTxZclK2tHD1zg2kThxEXEkpzm4r7BYV4KhRklj/D3hzHNTwsDJFIhK1EQnZVFaqODsspwsvJyVKr3XggSHIXThyN0WRixx8nmDZtJL4uzhy5fJsd6zZx9tYZvt/8J6W5+Wz59XMLsv1ZUyN3s3IJ8PLg/t003l/2AvEDJ3P3wVnEIhHvf7qd6S+NJ85sthKJRDS1t3PzSQatja2oalWMmCDc5S8cuc53G9cwZPAMNv76JQAfLX6H0TOmM/1FoeM/qEcPjEYjDwoLGR4eTl51NVfvpLDIvNEumP0GZ87vITS4F6k5j1n7/o/cTTzDj8f2Mq1vP9SaDh6XlP4vUXwLRiaw4t3PeG3VHLZvP0LEoHB8fTzJSM0jOi4MT4WCu0lCQnJgTz/qaxqxc7LHy9mJCKWS608ziAzwI7eyCi8XZ3ycnS0ycI1Oh8Tamhvn7qEMVjJycB++37iXhW/OIdrPj5OJ92mqbkIiEzYdRzdHbCTWlGaWEZ/Qj3sXkpg8ZzTtXV0knrlHxKAIpg8ewG9/C8Er3bpuGqsaGD9vNBUVtVhLbZg1ZBBpZWVk55ZQkl5CaN9QosKCLJb6rz/fg7ufO51tnQybMQR3BwdUnZ0Ee3igkMs5fvk2daV1jJw6GIC4oCCemMeuudXCROzy71dw8nRiwStT2fn1fobNGcZLYwQpuM5gwEEmQ9fdbfFr9AsJpkuv51F2Puk305HaSmlrFBruX331BqfvJ+Pp6cqoyEiuZ2URoVTi5eTEucepPMt9xtRJwy2pZDt++ojX39jM8vfm06nT0dvfHw+F4p9nU4iIjjY9SU3lXkEBV07c4s3V8y2jofPHbpCS+IChU0eTlviYzMw7nL93CaWTM598uoMFq2Zy5dxd5s4TcA7BHh50aLX0ixrAO1u+xivQi9kD+nMzN5eWjg7KsssxmUyUZws78M7vP0Cr17Nk8TqSHpxnyLDp3Ltzihspt8ivqWHNrMXsOv2X5Wg/adAo3v5yM2temkmXXs+bb2xh2OyhLBk/mpqWFhS2tmQ8e0ZKSjbbP90AwIErJyirqWNEdBRXklJZMn40N3Nz+ebtb3j48AwbdvzKC1NHW04KS0aNY92Pv5D/KJ8dO9aSVlbGjs9+Z+abM/FwdCTGz0/QV5gXlaq9XUCordyAQuHGiVM/cTo1lSl9eqPVd3PgvJB29OacmQDsu53I6e1nWLflddYsWctb375NsLsHV24/YuWcSdjLbEl/Vm6Z2e/74wz/WCUwIocPmcGxi/tQOjtTpWq2aDFi/fwszbC86hqC3N3p0Gopqa/n+49+5vDRbzj75InF5PPVyk/448xeQACahHh6IrW2pryxkZzickb2iUbV0cGOr/ax7acPKW1osKj7lM7O+Lu6CqapujoC3dyoVqmICwqirrUVkUiETq+3TAbya2oI9vDAXibjZEoK9jIZ7V1dhCu98VIIeZBPy8uZ1b+/RTUpEokob2jA2soKqY01TwpL6BUUQF1rK1lpBfQbEIWHoyNKZ2cA9IZualvbOHnqBkG9AokK9MdBLsfV3p4HhYXE+vtTpVLRx0xGyqkSTF2ZFRWUNTYS5ePDD9/uZ+LCsQwJ7UmDWm3B2QF8u3EvO7d/RFJREfVtbRaLv5+rK0pnJzq1OpJzC0joK8CGli/4gO1/fsH97DyigwO4eTeV95fM/efZFKRSuemXCxextZdjMBi5e/wOX24S5uS/HbvIoPgYqlUqPBwdaevq4t75h8jt5ax5dS5F9fUYjUZyioVFPmFAHOvX7mDECyPYve5HJiyYSZ8h0dy/mISyhw/FT4tR1amIGSG4CTXtGkJ6h9A7MIB7adkkHkpkzMLR7Fq3hfOJxxGLRHy37S8WLBGadCaTiacFJeQ8yEEZ4s0bC2bwxU/7GT5+IF+8/gWOjm54BynZ+cOH1JoX7clr9/hyzRra21WEhw/i2wM/4CiXE2LmMmzZ9BtTlk6kOLcMgLHD+1Pa0ICdVEp6ai5LZ09k1/7TLFswBVd7ewpraylvbCQ/R+iUe/h78MNbm9i67zsuHEtk0tzRDA8P56NNu7CWWDNgXD96eHpaFpW9TIbMxgaTyURbVxcDgoPZ/OthTuzexw8Ht+Fsb0/vgEDKGwQx0opFa/n21/WIRCLUGg2t5jCVR8XFeCocESEi0N0No/mt1NzejreTEyaTiVZNJ43qdkK9vNB165HZSKhva+NWbi4+5gU1pGdPdN3dtGo0GI1G3BwcyKmqEvQjAQEU1NSgNxi4n5oFwKzRQ/BUKMitqhKMQnn5pF5NZcaCBIqeVTM8Ngp/V1fLSPinw6d5dfYkug0GVJ2daPV6Misq8HB0JNbfn/q2NqzEYouXAgRRW35NDV5OTvi5uAgegvZ2HOVykoqKLBkUz8VC5Q2NTO8Xx/2CQsZERZFcXIzEygpfV1ccZFKK6wV8+9qVmwA4cXYXT8vLOXHgEktXziZCqUQsEqHV6+nU6ahrbUVibW0pw3QGAwOCg8mtriLSxxetWbh0+N59grw8CXRz40pKGiP7CGWxVq+nVaMh0seHLr2eq0/TWTJyxD/PphDTu7fp1r17NHd0EODmRktHB0sXfgTAl7vWUtvSwpioKM4+eYK/qyu9fH359vejfLBcYLd0GwyW2u5cWhojwsPJrKjATiolxt8fK7GY4ro6gj08+PX8VWIje1hIwq729nRotfT09uZhYSEtnZ042doS6ePDo+Ji4kNDsZNKOZMqlA+RPj6EK5VCgIlOh7dZN+Hv6opGr8fGSoxW343RZLLkFEitrcmpqiLI3Z1KlYrtW/aza9tHmEwmqlUqusxvhOflRlFdHaFeXrR0dPCsqQkvJyeK6+qob2sjxt+f3iHh1DXWWOpqL4XC8vesykqO/nya21dPceXBZexlMks59FzL8dzxCQItu1Gtxs/FhaSiIoaZyw0HmYxAD6GJdjn9KSMjIjj9+DHDwsOFo/HVB/hH+BPhK7hQt7//HXuP/gTA/excqoqq0ag1OHk6sXTmBPYev0htWR1Dp8RTUVLF4H7RFp2Cg1xOVkEJc0YMob6tDW13Nz08PKhSqVA6O7H/8k1G9Y+1QFaqVCpuXXzIC/MnkJJTwOKxIymsreVOaiYrpo7naXk5s0dN5fPfdwDw4jDhcUvq69GZ+QfjY2K4kpFBrL8/qo4OmtrbBRDNFUHg9cKssXg5OdGl03Hg3HXGjxjA1TspPLrwiH37NpFaVoaDTMqFqw8AWL1wOl9tO8D7qxdS2dzEs8YmxkRF8aikhDNHrvHlxyu5V1DA4FAhb8RPGYSHRwBPM+7QbTBwLi2NaXFx3CsoIMJsxMqvqSHUS/g/MJpg34XrLJuaQL8+ozl/6yRr3/yeg399xZEHD5nWry/1bW0WBaTC1haZjQ1f/3yQebPG4qlQ4GJv/y/vw7+uf13/uv7Pr/8RJwV3Tx9TStZTS3dZpW5nbIxwDBradyQLV68hYlAEuUm5JF++z9ZfN/A4t5Cp8f3Irqziwd00tB0Cr3DDW69w8O499nyyDXt7Z8a8OJ7e/SJ4cDMVO0dbTu05TFbmHZxdhM707ce3cJTLeVxayo5P9nDz5kFGj16EtbU1v/zxGdezsijNKrOM515b8zXDZg9lYHhPPBUKqlUqZo6eyZZDP3P79D3ixsVRX1bHohkJHLt6G4BpowYzM2EB/YaOpKr4GVt3r7Nw+q+cv0tzrYptmwUnIMDpMzcJjg3Gxsaacb16IRaLiQqNJa84k2qVipL6eu5eTiasv9CFtrWTc/fUfaKH9+LDRUu4m5GCtrsbZztbalpa8XB0RGZjw+bNQhNq4YoZaLRarMRiWjUaxCIRzW1qVk6YzImHd7l9/gEZ95/yzjdCAlVCdAxXMtLxcXYmtbCYmfEDsRKJsLayQm/oRmJtQ1JRkaVzH6EUNPhGkwlHuZzt+0/yyrxJSKytkUtsECEiYcwCCz9COOp2culxGotGDqdTp+Nefj4J0dGCXds8tXiOt3s+z1fY2mIrkbD71CX8Q3wYHx3NN3uO8NGqBSQVFVnIxju0qbEAACAASURBVJt/OsD4acMsuaJSa2vOpKYye8AA7uXnW5SbUmtrC3a/sLaW7KoqQr288HV2xk4qpdMsvjqf+JBXZ06gU6dDLhHKjdwqgUzV2tlJgJsbUhsbTj1+zISYaDq0Wk7cfMDyKQkcSBTeEwFKT0vP5vaNFN5ePo9us/U5v7aW+/fTWDwzgawKYU3cu5nKa4tncOrOQwZEh2Mvk2EtFpNXU8PoyEj2XrjG8L7RFlHeneSndKo1vDpvMrYSyT/f9CEgtKdp5rzXeGn5DGL8/RGbRz8gQE9D/ZTEh4ZyLz8fha0tRXV1jOvVC113N+FB4Vx+dJcHj4V6MzwiiLG9epFWVkbi7ccsnzuJqNBYKioLKG1oQKvXC/Wq+Sg6tGdPuvR6Qr28uJwh6MbFIpEFSe6pUGAwGi2x7D08hUCRP6/dxE/pwYjwcP68nMjpXSc4dPwHtu09Ruq1x+zevwmFecLxqLiEVo2GUE9PLt9KZsWcyYSHRFNVVUijWs2n63cSP2MwvYOFGbbU2ho/Fxc27zpI5KAIjn5zjJfXLcJoMrF73W7OX/iFKZNXsf1PoT5NiE/g5XfexS/cDx9PN+JDQwUOQ3U14d7enH3yhBuHb7L6PYH6M2v0LAoKUpBJbbmXm8U7L39Ea2sDPx3ZxfT4EaQX5dDe1WVZLDdzchgfE8vn2/9kxJj+5BU9w97ZniBPQVAmQrCspzwS/g8UHk5UF1Xj6OpIUJg/Qe7upOQU0C8ilOyKSoI8PRCJRJYeh5V55HjzwgMCIgMY3CeKU6cT8QzwZPKQ/jwqKSEvNR+prSAUqi+vx8nTCXc/d8KD/cnOLyW+dyRavZ7kJ9k0VDby6uLp7D0oGKKCegWSk5RLvzFxuDk40G2mQRXX15P+NB+J1IaoyBBLKBDAidOJ+IT6oGnXIBKJ6BPdk+yiMvqEhWBtZSWI0Gqa6BsllAO2UilJOfksHCmMEdu6unhwM5XynHJefXcBx/ZfJGHOSAtL8bnMuU2j4eClRFy8XRkS1lMYzaZkUJZVRkCkP5p24WY3bfxQEh89xdbBlnlD40mvqBB0IFIphbW13LuZyivzJ/PnESGM7dVF0/j2xwMsXT6T+xk5LBozAlup9L9nUzBnOkwB6p9TmUUikQtCZFwgUAbMe57tIBKJ1gLLAAOwxmQyXfnPnkSv2FjTwtUfYaewI2FoPxrUaqLMda8AlRAkte6ODgS4ubPn3BXqn9Xj4u2CVC5h6YSxbDss6NyXzpxAUW0tsQEB1La0kFtdzY0zd5kydwx1ra1M7dOHRyUl+LoITS4vhRNyiYTU0lJi/P1RdbTjbGfPsaRkrvxxhc++fp3cqmoaVYLQZtHI4SQXF6PWaBgRHk5ycTGdOh2Xjtxg0NRBuNrbW9KcB4QIISJWYjGN6jaMJiF38cDfl/EL9yMmRBD9PGtqwlOhsODDrMRi0srKCHBzo1WjoUmtJlypxFEu40Z2DvX1zRSlFeEbKrxGCg8nYoMC8XV2FjaOQ2cZNqKvxWVnJRZT19pq6SWcevyYEA8Pbt1NZdGMBK5nZKJp19AnLISjBy/z+YfLKW1oINt8cov08eHE6UQ2vrWMWlUzR67c4rVZk4UOfWMDDjI56zfssigsq5qbuXgzCUdXR+J7hROuVDJ2zEt8+/sXvPPyR/z29zYC3d0tY+cpk16ls7ONfSd/ZuPHO2lpUPHSJ4voHRDAvr/O89nbr/Du+p/o0UegUUdHhnDh+E1efXUWNlZWnLx6F78ePszq359th0+TMKI/SVn5nN0l6DKGzRrOnMkj8HF2IbWsDD8XF1zs7LCxtkZjdskW1NYy3rxgAQrrarmVnI5voDfOtrZ8+8FOPv7hLTq1WoaHh1PW0IDeYCDMvHF26nTczctDZmPDDx/9zIlTP3IsKZmkc0ksWTmT5o4OBvXoYZmqPc4rRN2k5tWZE+jS65kxaSnxE0aRfieVk2d2klVZibujAw8LhJvRC/GDGDd2MRcu/87DwkKkNjYYjEb6BAZiJ5VSrVLxsLDQIv7rExjIxfR0/FxceJxVQM8QP0ZHRf23bQrDgXZg/7/bFLYCzSaTabNIJPoIcDaZTB+KRKJI4DAwAFAC14GeJpPJ8L/7GWG9eplyMzM5fP8BP737Ncs/exMra6FJF+rvw+Hdp2mqacY7xBtrG2s2fLgcO6mUHcfOoevSMT1hqOWxsquqaGlRc+/kPcL6h6Hr0vLKC5M5evk2ErkED6UbLnZ2lsSpMG9vHhUVs+eTn2hvb2H2yiWc2L2P7//6kUfJWWxfv4E3Nn7O/GnCjH/z5t9pV7Wzd/d6Dty8w5NrT1i5eh5Rvr6cT0ujX3AwV1LT0Gn15DwQxEutja2MWzyOaD9fbiWnM3XEIPYeOEvSpXtIpTJ69o1g0MQB/PWVgAt/8uQas15awfF9uygpy+H7P4/jFeRFDz8lJVU1zBs6GCuxmEO3hUTiyvxKeg2MYOHw0Xy28zfmTxtDcV0d/YODOZh4h92ffoeTkwc1NcLIc+z02eQ+zmTxp0tZPjaBc6mPLNqQ3gH+zJv0MjsO/0SA+a559clTArw8iPL1xd1RQWun0HH/953y52h4gNSyMhRyuUBa6u6mqK6OuMAAmts76NTpsJVIuHLtIZPNYJy86mr83dwYGBLC9awsMtMLWDI9gUOXbnL/1H3++usrrmVmWsZz+m4DwyPCLWYgaysrxCIIcnenoqmZexk5TIn/t/Gi0Wgkxt+fquZmqlUq7GUCWSq/tpZwb2/B21BWRqiXl+VEOLl3b3KqqnCys6Olo4O0/GLiwntYiFZtGg2u9vaWcsNkpmE1tbeTV1TOuIF9kEukJBUVEeTuToRSSZWqGYVckGpru7vxcHTkw0272LR2BWnl5Zw7kUhwbDCLx47E2kqA1z63lz9rasLD0ZEANzcL2k5iZUXvgADUXV04yGRkVlQQbJZOn36Uwtz4QaSUlJjJZO70Dgj47ysf/u/5DSKRKB8YaTKZakQikTdwy2QyhZlPCZhMpq/NX3cF+MxkMj383z1+QGhPU3tzO0OHzuHdLf+gpqUFX7OIJMbfn7rWVh7k5RMfJtTxSxd/yuEjW7ickY612IoR4eFs2CIEr2xe9xoXnj5lbFQUudXVPM4qIOlcEp9sWsXxczdZ8eIUdAaDJWzm77sPGN+3N/cLCpjety9ikQijycTljHRGR0aSXVlFalYBH760CIDs0gJuPM3kh3c+Z/XXa5E72NK/RwirFrzHqq/f4OS2UwyZOQSfIG8C3YQcB6mNNV06PTkVlYR4ezEgJIRHxcVUm112XXo9d5PSmTBC4FLaSaWcv/eIFVPHEx42gJOJJ+np5c0HG7azaNl0PBUK9v19yeIdGDN7OLU1jbw8fgxikQiD0chPB0+Rcvkxaz5fJmRjWFvRqRU2wrq2VrIqKjEaTSTERFNcV8eVyw9YtXg6m7/dx5o3BHv386lFT29vDl27jV6rY/HksShs7Tj3JJXb5x5w/dRJ4seMZ/XbC3EyexN++eMkQ8cNoLZZxYNTD1i3fgV6QzdvLtvEV7s+4LX573D5+gE+32rucSyZgpOtLa0aDY1tbSidndn00Q7WrF+KvUzG8VM3GDVuoOUk1ahW4+XkxEfL1qHVdhLWqw/L319A4tUkWupbGDptMB2dGvqaY+X3/XGWsTOG0T84mOiwOJycPHiQcpWvt+3n/dULWTTvXbKy7pJd8MSSKrXtm/0UZ+fT2trAvDdeYeSQOC5duk9TTRNfrltFn5hheHkFMXXZXABee2EKuw6fo2//SFzs7fnsze9xcHbk/Y0r2PzxzwyeMZjD3//O9/uEtK7qlhbG9upFVmUlcQEBlg0lwM0NZzs7koqK2P3Zn2g0woTmr6PfWajYX+76i0Ej+nB4+wl+/PEDPvx4G5+uX0lRXR27vxayNNZvXs2N5DT2b/6Fu/dP8aCg4L9X5vwfbAotJpPJ6d/9u8pkMjmLRKIdQJLJZPrL/Pm9wCWTyXT8f/f4UTExprU7d+Hj6kKUrw9tmi4+Wv0NAD/8shZtd7fF6hyh9KG1s5OsykqsrawsKK+MkjIAHp59yAcfLyXAzZ0npaXIJDbce5LNmAG9qVapEIvFRPv5oTdr3O2kUo7cuc+AiFD8Xd2wEoswmgQuYXtXl2XWXmnODBwYEkJhbS0mTPT08uZ48iN6BwZwJzWTJRMEAVK1SkXm3SzeM9OQFba2VDU342RnR0FNDWWNjdhJpbg7OBDp48ODwkL6BwdbZMJGcw/D382V2tY2Qj09kdrYkFtVhZ+rK38eu4R/hD+9/AUISkFNDZ4KBRFKJY5yOadTU+ls11jq21h/f9o0GgteLbm4WEiHamggITqaRnUbN59msXDkMPZfu8mShNFou7v5aZ/QCHz75TmcSnnMi4Pj6dBquZOXx9S4OD786meM3UZeWzUHjU7PW6+sA+D0uV8wIbADO3U61BoN6q4upDY2lrt9uLc3VzKFHk6wuwcSa2s+fedHFrw3j/7BwWxYv4uNm17HQSald6+hbNy/HW2n8L0vjRqOqqOD1Su/5J1Nr5JZVIaLq4JTP59lzMLRLBgxjEfm3xGEbI9Pl3+Mk5MHL7y3EJPJRKi/D1XNzZzefob2tlbmvvMCV/64isp8vFepali6bjUFqYVs+fQfFNbWEuLpSUNbGxVNTVy/kUzGrQyaGwUi9aK1rzB/+FAuZ2QQoVRy9UEq+Y/ymb1kIqFeXqz7eDuR8ZEsmSGI7O4XFlKcW8ayWRP561IiIwfGYi+VIbWx4b01W1F4OJGbmk7vocKN4s01C+jQakl8+ARloDd/f3eMTT+8TVVzM3/tOIGjiwO9R/fhyDd/AfD74W/49ocDLHxlqgXIMj4m5v+XkeR/lC77H+46IpFohUgkeiwSiR7X1deT+zAXK7GYwto6XO3tWf/9m6z//k08FQrBM69qIdTTi6Z2NVczM6lobKJDqyXQzQ1rKzEhPt6E+Hjz49Z3cZAJSdI21tZ0dGlx9nAitbRUCBcx04KeAzHvFRTw0ugRlNQLYqHnHvW61lZSSkooqqujQ6vl3NEbnDt6g7yaGupaW9m7+ySr39mKullNkLs79s72qDo6uJP4GHuZDK8gT5KLi0kuLua3C1epa23lQloaBqORhxeTUTo7U1BbS35NDf6uriye/xEnU1I4mZJCg1qNqrMTJ1s7vnr7R45cvY3MxoZVc1/j6OXbuHi5EBvob9HqhymV1LW2IpNIkNrYkHQhGS93Fzb/coie3t7cLyigoLaWNo2GNo0GF7Nb08/FhSa12ux2dEJnMODr40mVqplHxcX4R/jjH+GPtZWVpTmo1eu5fe4BH371M1s/eZ1LR//m5TlrMJlMfLt3I9/u3ciad74ho6KSi+npfLxuO49LSwlwc2XPbycIdHNj4zvbaO/qYsWkuayYNBd3Rwcc5HLe+2IFA0JC6NTpCIj0581VX1HZrEIut2dsVBSDInoyKKInP5+8QHtXF6XFWXz6j6/w8HDG2krM8cM/EqT0Yt2WPXRotcT4+xPj74+HoyPv/bSO3w5t5cLuC+z4cDOOcjmrp85h0/dvodG0k5b4lJ92rWXvoS3sPbSFXn0HIhKL6FR38t2+49jLZGz6aR/Hr91FLpVy6tcDVFeWkJ5+i/T0W4zv24fdpy5SW92AXCJh3bJl+Ef6Myw8nO27jzJ56UR+WLuWurZW6tpakdnYoG5Wk1NVxazRQ/B3dbNkbX7x3VssWTULkUiEo6sjjq6ONKrV9PD0ZOaYodhYWZHwcgKXbiXj5eTEkX3fsur1FxCJICiiB0ERPbidl8eEuaM4+Mc5CsoqeVZV919exP9vN4U6c9mA+WO9+fOVgN+/+zpfhJzJ/8dlMpn2mEymfiaTqZ+ziwu3z17myJ4zlDc0UtHcjKq9HVV7u6UuzEjLRywW06bpoqGygUl9elOnaqHbYMBOKuXkoSucPHQFjV4voLK7unCUy0h6nE3mvSxcHRy4fvE+ngqFJWK+2exzMBqN5GcU06XXYTSZ0HXrae7oIC4wkKLaOh5m5nH7/EVun7+IWqMhLS2P+vI6ogZHUfikkMK6Oi7uuUi1SkVHW4eQhZBZRosZOdYrLBhXB3t8zJ7/F1+ahJVIRNETQbJqY2VFzPAYQjw8CPHwoL6tjdRbT7GXyWhpqSMmqgftXV24unoTHObHoNgILt9I4vTlO5y+fAedXo/MPBrT6HS8uGQyDc3/5isIcHcn7Hn8nlqNnVRK3pMCWjUaOnU63FwV1NU1YTAayUjNo7a1DU+FIxG+PkT4+qA3dFPe2Eh5YwOdOh3XT53E2G0kKmooWVl3cffwJdDdjca2Nhrb2nD1cUUhl+Nsa4vYWghilVjbUF9Wj1avp6G+gg6tloiIeCIihNOHg0xKTkUltS0tiEVw+eAZRs0fhba7G6nUlvq2NnQGg7BxBQknopycBzQ0VHBi11lc7R0IDxvIyQOX6Nm3J3KJBK1ej1av58Txa5Rkl9He1cXdO8cpL8/Cx9mZ6GjBGJaRcZtzh/9E191NY7sQA5+WdJdjPx7mwrF9OLgI2ZUOzg6oVWqcbW3JzLxNRvpNevbsR8+eAg5fZifDRiaYzOztnbm07wztXV20NraSdOkRHR2t+Di74OMsKCSnTBkuUKI1GroNBhra2nCQy1F3aXmckU9eXhLnDxzh/IEjllOkWCSirq6J4qfF1D+rx8/VFTc3X6pVKuzsbbl/4zL3b1xGLpFw+1ISOY8ymBLfHwcn+/9oGf6H1/9bHNtZYAmw2fzxzL/7/CGRSPQ9QqMxFHj0nz4JKysSXpxO/Mg4TCYTViIRgeYmFwhNnPhBgiy5Qa1G7mBLa2cnI6MieVxaSoNazT/+IZCKO7VatN3dNLWr8Xd1Y+zQvpQ2NODu4MCCFycil9jgIJZZzDj7fz3N9IUJDBwUjbpLi0IuRt2lRWnm5vm6uuAa4M/VwAhAyGEcPCiWvKQ89n+zi+1HdhDk7s5L770gSGLD/QhTKunz+gsWK/Hh386ycf0qCmvr8FIouJKZiY2VFcNH9xP6G7a2/PrNV0jthJHbhITBTJ85iielpZhMRn5Yu5sff/2EpKRzyNY7sHLjMhJGD0JsPpepu7T4u7pR2tCA0smJoto6asvqeHI9ldLx8TxMzsCgNzBhrBAG86S0jGEj+lLZ1IzEyopTe86z/J35ONnaEh0nkIFEiCyd8tiAAEQI0WUl9fXEjxnPa6vmkHz9DrPnvMOJ498z/pUEFowZDsCMzcOpzK+koaaalJRLxI6MocDZmUf3rmIr/ZDi4qfUtLSQlXUXAF8XV9QaDVP6xmEvk2Eymfh013rWv/oJLyYe4aX3VxHo7mahRb88fRmTFszjtQ++4K+fv+f3db/i5eRERMwAXn9jPpOHT2Xu8hXI5wgb5bLF03Ewsw8GDpxKaWkG6c+eUViYQk9vb975agtVhVUobOU42wnQlHW7v8RKLKasqJJv3v6IFUVpjPvkY/z9o+gbH824cS8TOzwOvVbgauZWV/Pj+xv5/cyfhHp5IZFIWb/jY7Krqrh25iiJSVe4dvIEeTVCoO/9+2mEx/Sg4lkto/rHYm1lRb/gIIwmIaB33thhdG3dgm8PYWJUWPdvd/qyzDI+eGMRMycvJ236cOLixhHp60uXTscnewQOZ1NjC68tn82ck2e5X1BgGbX+V67/yvThMDAScAPqgA3AaeAo4A88A+aaTKZm89d/AiwFuoG3TCbTpf/sSfTr18909to17GUyrMQi7KQy/k5KAoR6PMTDAy8nJyqamiwa9duZ2cRHhKHu6sLZzhaRuXJJKirixfh4Cmtr8XVxQW8wUNncTH5NDSMjIrj0NB03RwdL06q1s5NANzdLw6+kvp5gDw+6DQZ2/nmS9W8sQaPT8qRM8FaEenlhJ5XSpFaTWVnBkNCeJBcXE+zhgdLZ2SKfLqyrtWDhMysqCPH0tKT6rHnnG15/fxFh3t7CJigW8/e9B8RHCAsywM2NDq3WMg9PzS8iUOlJc0cHTXXN/P7FTrb8sYV+Zl1Do7odXxcXDEYjj0tL2bfjOPouHUvemsegHj141tREa2cnET4CSamwVogmTy0rY0BwMPuv3WTOiCEU19UhEomIUCoxYWJSwhIAvtizEaPRyN+/nmXbN+9RaE52MplMBLq7cejGHVZMnkCZ2Sux98BZLh48irW1DSOmTeLd1QsYPXgKM195mfyUfMYtGceAqDBLZ/3UwSvkPEpn5/6vOXPlLl0dWt5eNofEnBycbO0Icnfn9M0HxPYSNAGnD1/l+B+/UFKaybHkZEZHRWI0QZNajaNcztFLt9i9cTPe3kKjcf+JndhYWWE0mdAbuunU6lA6O5NVWYmvizMBbu7UtbZiMploNEuvw7290XZ3I7Ox4ZVlGwjrH0Z5TjktdSp+3PMJthIJCltby8Yf4ObG4hff5+/jP/Dtr38ze8Zo/Fxd+fDjbcjs5by5ZgEmTAS4CYszutcwfH3D+OvYD1S3tLBhzXe8/fUqTh28wltvLqRTpyPM25tugzlbU61m+rj5HDz3B198vIvXPl7Mvh3H2br5LdTmstD13yHnu8yshsSUp4zqF4uvi8t/n07h/4urX79+pn2nT1Pd0kKEUsntnFwqC4QZudFgZPKEoZhMJiGoxWCgX1AQ5ea72L2sXJLPC2YngORLD3jxw4XEBQcR4ObKg8Iiyp5VMzA6gszyZyhdnKlRtdBYJXy/d4AniUdu8tEny3F3cKC6pQUfZ2dLBLrBaOR+QQH9goU3WEm9kB/4fBSUXVnJjatJKNwUxPUJp19QEM+amrj+8AkjBginGxc7e1zt7TEYjZbN6ETyI4ZFCCExJpMJuURiacJ5KhTczcsjxNMTpbMzt3JzqW1WMTmuD1czM4kPDWXbT4dImDMSEBx6YyKjMJiZA7F+fjR3dOAol7P31GXmThjxv+gULqanE+vvz+W7j1g2bTx7z10lJqoHrvb2XLv7mFdnTcBowgJBadNoSLydwsoXpiKxsqKpvZ2XX3iHb/dupLGtjYE9QmhUtxNk9ko0qQWfgVwiIcjdnd/PX2NI317E+PuTVVlJhFLJhadPGW7mFao6OxGLoG9YLBce3SXc25sNm3bz/vtCZujWPUcYMaa/pVEK0KXTkZZTxCsTx7D9yBlmjx9OeWMj926nMnvaaCFrtKwMgLz8Mj5b+RoikYiHWSnYSiR88uE2tnzzNn7uXmzYsZdpE4eRMHAU/ftPAsDB2ZHhc4fR1dHFzDHC6FRqbY3C1pZVr3/JPz58iaS0HNyUgi5gzyc7OXRqJ88aG/F1ccFoMrF165+MnTeSyb17M2L4XP44vpOkgkIAJvbpjdFkpLi+geXTlvD31SN4KZywtrLCy8WdwMBevPiP1zCZXWY2EhsSxsfz0qT53H98gw/e+57du9ax5OVPeXXtIuaNGM+VlLvs/uEwAMPmDOOPz3Zz9do+9py7Qv/oMPqHhPzL+/Cv61/Xv67/8+t/BOJdo9NxM/kp8XFRlNTX0ycokAE9BDWg0WQiyN2dgtoaIn0E2ObRh0mMie6Fg0yKodvAxJcSLO6z8RMGI7WxQW8+dkUolei7u5FYWVm+R28wUh0ojBi3bNjDmJfG0KrRWNBsjWo1YUolhbW1dGi19PD05N0Pvgdg5rLJ+Lu6svbLX0g8c5bjlw7w2uIZ5NXUEKFUciL5EX2CAlk8aQwpxQIN6qetB/jxm3dJr6ggyseHW7m5aNo1qLs0qDoEwGpUaCyrPl4PCGSkAHd3cqureXP5JlSqOn4+9B0x4X0JCorB+rv3WbR0Gi7m+regtpbqlhaazG7H69nZpN5JJ/teFq9vXMa+oxdpb+lg/kLhLlhX1UCXtxfWEhseFhZy/cA1+n4rKA8Le/qRV12Dm4MD97MFoOu8oYNJ9XCiqrmZ5o4OLp+7w+lzv7DmnW9w9XFlxubhvPX5NzSZCdyuDo4MGDCJ5uZaamqK+eHYUcoaG1kwcT5nb54iMnwgf144xMjBgh399sMLVKtU5JXlIRYJ3oSVq+cxf/oKriUeZsCwWILc3S0jxl49ezNk2ExGLxhNbPQwLt89h4u9PfuOXOS1JTOIDYtj6txlDJ0t3OHnJ4xgcUUB3QYDn3y6g9LcYt7csprJY+dTUlvFnbw8TpxOJDXnsaX8q25RodV386ypicjAUOoaa3BRuBIS0puvD2xj3+5TxIyMoa1J+J2/3PMZ0T2iSclJxdnOjskTlvLzwW94mJNPSHAMT7KSWLroEz7+TvCTfL/rMCMnxZOfV8q+8wewFlvhbGeHqqODouoKJNZWPCgswtdsL69uaaG6pYX9Fw7x5dbf+fXnTxkyeAZf7v2ay6dv8ygnFVd7B1a+PR+AvKpqjp35mdGjFvDuDx9YrN7/let/xKYgsbYmtlco4UpvVB2d2Eoklrq122gk2EMI63geNd9tDpPVG4zUFNcQHvRvA4+btx+zeNZ4OnU6DEaTsMhb2+jp7Y27gwP1bW20dnbSYtbdK9wUNFY2EjY4HlVnJ+1dXdhYC/DYZ01NxIeGIrOxYcgMgbAT6uWF0smJAeP7odVo8XN15Wl5OWKRCGc7O6ID/NEbDOi7u4kz8/gehPtbwkVEZnFRdVE1YQmjUWs0NLW3M2rcC3iHCJJZPxcXHORyMp49Y/KKyZzZdQqNTsf8FWvITsqgLLccaysrepkhItcePyXG35+WDmHy8fyKS+iLg0yGwk1BW2Mb3mZQTG1JDaGTx3Gk4ArxvSOxkUpo7eykTaOhvqaR4WFh2MtkVJmj9VR9OqguquZis5rxIwYwdNwATJhY9vaLKORyKvMruXjwKNNnjAJgwIBJJCdfQCazY8CAyfTuGcymt38kbsBofv/zDFNefAkHuZwlH7wBwOFrt6nIq2Dm3LEkP8mmR88ABvXowZAJwmY9KjKSgP5WawAAIABJREFUbX+dJCRKeD2trSVcPL+H3Xs3ULlsGc52dmj1eha/OBFrsRWBgdE8Kyjh9w0Ct3PGpd+pVqlo7+pizrIpVDU142Zvz8sfv05ZYyNT4/pQqFTyrLERmbnLH+rpid5gINjDA0dHN86kpuLjE4qLizcudvYsWTmTEE/Pf8Of1dYikUhROjtzJjWVZRtfw93BgcNbDxAdPZzmjg6WbVhigbKU55RTGdcDDz8PGtRqjh68zJrXXyQxM4sQby9kNjaMj4623NzEYjEb3viWN75aidhKTEl9PX4BYSjkcpYvnUlFUzNOtnaWQFqFrTCxGTF9HMEe7ng7WWRF/+n1P6Z8eI4Cf67Iez5+ej4iBKF27tBqLUGachsbnDyd6NLrsRILibtO7gLco0OrtXjLnRzskVpbWxYkgMFoxGA0otfqkMqlGIxGus3MwW6DAbFIhEIuR9/djclkoqGykYbKRktzrK21nc62TkRmt+DzCHCD0Yi9udPd2tlJa2cnIiuR5Wc/9yI4ewpcQEFUJEetarOElT5Pr3KUy2mqbsbKygadwUD9s3pBK6DRYiuRoDd0ozd04+ImgFAlNjZoza9Vc00zrY1CT0Aik2DnZE+XXk+XXo/CQ3iDKNwUWJt/5nNSsp2TvUXyrFFr0Kg1gtvRPC+3EoupbVZhYyWAVxva2mioqcba2ga5RIJcIqG5uRaZzA6ttpP6+nLaNBo8/DypKi/FK8iLyoJK2ru6aKxspLGyEU8fd1yVrthJpXgHeJnZl2J0Wr0lDNYr2Bs/c8KSwdCNra2Cls4OqgsF56StREKTuh2xWIxe30VbWxPePoF4+wRiJRbhKJcjl0gor6mnrrQWvdFIU1WT4H7U6qhsbkYmkWAlEmElEiEWidB1d6PR6WhvV+Hn6kprayP19eXourupVKlo02ho1XTSqulEDLS1NSESifBxcaH+WT1isRif4ABqakqwk0qpqWqwvO/UqjaMBiNi8/vHI8ADha0t3q4u2EmlyCUSuvR6y9d3aLV4BXgLPprKRlzt7amtLkNvNNKgViMzBy6bzH9aOzuxl8moLKxChMjSy/qvXP8jNoVuo5EnydkkFxdT2dxMU3u7JT3Xxc4OXbeBkoZ6dN0Gmjs6KK2oEcQfXV2EhQUK1lvzAhzaJwpVRwdqjeBuq1YJicE21tZUNAlvAg9HR4t4SSQS4RPgRUFtLV3mROQuvZ5OrZZQLy/ya4XAlltHb3Dr6A2K6+spbWgg41Y6NWWV5FVX46lQ0GL++bmVVdhYWdHe1UVaeTlp5eUY9ALYo7qlBZPJhJOtLeERQWRWVJBbXY2DTE5FRQ4GfTcGfTeVzc0U19Xh5uDA7ROJOHu4YCuRkHjlKPaOCjwCPM0Qjlrya2oJ9fISphViMVJrG5xsbWlXtVOUWoTeaMTKxhoPfw9qWlqoaWmhZ1QQeTU1BEcFotHpULgrsJMJQigvZydK6utp1XTi5OmEk6cTjnI5QWH+xPcKR9vdzYNTD+jU6bh68DrH/rhASsolRkybRJC7O0Hu7tTUFDNgwGTCwgaQ/3+x997BTZ7ruv4lW+5FLnKTe8UFgwtgg7HpvRN6QkggtCSUkEoKpEI6CSQhIYSQhJrQe+/VBWwMNjbGvTdZbur6zh+f0Nr7zPmdndkz+3fWmlnfDDMeY0uy9H5veZ77vu6iTMqq65m6cDz5+ZeYMiyNSxf20qXVcvHQMS4eOsbI+HgmjRxIoKcnw+Li6BUUxMPaWhorG7GRSrlUWMCo3r2I9fcXIbSeCkaMfpoDp69y6ugflDc3IyCIMuTOTpHeJA/gqRVTeGrFFJo7OnFzdCRELufoD0c58NMu9AYDF/adIlgu5+jtbE7sPGshLD3pKmSXlXEq+y5WVtb0DQtDo+mkra0RvdHI/u8OcfjCDc5l5XIuKxcneztsbOwob2qib1gYR37eR2ljIxNfGEdxcZZo3PruLzo04rFR7ifHx8cDtbn9PWV0BrbW1gyIjCBYLsfPzY0Td3PJLisju6yM5o4Opi+eiI/MFVVzG8729lRUPEAQBA7vPUuQXBQ/3Smv4E55BfcrKrG3seHquSMYBYHKlpa/fT/+U3QfeiUkCDdv30JnMNLW3SVmAtqK58dpT71Kz4FxzJo5moPHLrHz2+/5Zu9PtKvVZJ7OZumSaaTE9eXk7UuAWLl3trdn0pjn+fb3z1G4u2FvY4vRZKK1q4ur+QWU3isl+6yYpPPK58sI9fIir7KSrHM5WFlZYTQaWbpwGnY2Nmzbe5xlz06lyvymjk8fy4VMER2uMxg5dv4GLTUtLFs8A6mVFVJra2yl1uy9coOPF78CQO6DWzysrRWj7E1GfGVuqNRqjp6/we5vtvL7oZ+pbGmxVOPfWPsd85c8hdFkwt7GhnuVlfz+0Xb6je6Ps8yJpbMmcOpePmN79wZEepLBZCK7tJS9Gw/w9bevi7mMnZ0WzFdTRwfr1/wEwDsfLeFeVRU9/Hxp6ejkxP6LfPTWIgt1eelza1n/w5uWLecPOw4xfkw6PQMCOJSTQ0p4OIIgkF1WhpOdHRVVdUwamMJf50SDlp2jHQlRYbSr1ZRV1/PC6BHoDHr2XL/B+OQkDt64zefLVvP6t2Iq9/Dk3ni7urJp5yGmjMlAZxB3hFWtrXR1q+kdGiKi+Mx2+tLGRqL8/Khva6OooprU2B7cyC8kOMAXLxcXHjc2EuHjYwmzKWloIOdxKe4uzthKpTS3d7Dx1fUs/ngVtSU1DB+eikQiEW/ipCQAixmqS6vlQVU1PYMCyS0tw8HejlXTnuOno7txc3KyrMB//X6C/uNSOPjdYd5ev5Q7j0qJDgogOTSUnZevIjWLywxmef2A6B4o3Nyws7Fh0sSX2L1vAzvPXGJSRirb9hzD3tmB9P4J2JnxcAPjEmhRNjJl0st88sNqapVK1Ho9297/hZfXLeXcwSt4+LozaqR4zE2P682W0yewt7OltqyenLM5/LHto3+dlmRycrKw7eBBsSWoVNIrKMgiLurQqPFwcrZ80B5OTtx+/JhOjYb7d4tRRCgYm5hg6Rfn5T9iyVSxoGYwGimur+dhbS3KxjaS4iLFLaKVxBJIW9fWhkQiwWA0khEdTZdWi5OdHU0dHbw0/0M+2rgKW6nUwu7zkcm4U1aGwt2dBpWKB+WVhPn7oeruJjUiAp3BQFt3N0dOXuWFmeMAUdiSEi768LV6Pe+t30LisES8ZK70j4ykU6OxCIUA4vz9uf34Md6urgR6eHAs5w5D43sitbbmwv0HFN4qpGdaHBlm2nJOWRkDe4h9f1cHBz775ncGjR9AuI8PgR4eZJWW0tzZyYREMfdwf1YWchcXquoaSYmJoqCmBl83N8K9vTmXe49pA1KxkUr5dscBAOZMHM6J2zns/OxXtv25AQC1Tk+w3BNbqQ3FdXXMHD2bHcdF3X15czO/fvgb3oE+TF04nuE9e2JnY8vN4iLG9EvnbnE+Hs7OFv9J394DaWmp5ejtq7z5/FtYWVnx7R9fotHrOXbgIiuWzmLBnDdJGSMOeEcXB3Z9+zOXrh9Gq9dT0tiIqrublPBw8quqqGxqJv9qPj99LoJzj2deQyKR4OXiYmE3avR6DEYjFeYWooOtDU3tHRaEXqdGYzkK7jt1mV0btrDo/VVIbaVMSUtB5uhIu1ptyYmwt7Hhhx2H6DugF6ufe42bt49zt7ycJdOX8tnvX2MlkTAsLs5yfP3g2+1oOjW8uGQ6KrWaQb36MO/F1Vw5eYzfjmynQaWid1CgRdEb5CnH09WN+5XlFNbWkn+rgMQBPRkUE4PUyoq7FRWU1jfQx2wCC5bLuVpURIxCgUrdjbKrm4zo6H+dSSEhMVEYO2spnv6epPaLx97Ghsx7YlrToD69EASB1q4uPJycKKytRdmiYtaQdEveZK2yzVI/cHd2plOjoaqlhfGJieSak4UTzD3yQE9PJBKJpQd/5OhlBg/vh0avx93RES9XVxpUKqL8/HCys+NknkgcWjBlAQDLv3iXHsEB/PX7CWztbJkwYxiRvr5cKiggw8xXGBwTg6q7mysFYvXe2tqa2WkDqGltReHuzsPaWhztbCmqq6dR2cYzGenMnfcO814XK8cavR5PZ2eCPD1ZOu9dhj89ivTU3ix8ajFPLZ6Hnb0tQzL68LBGLASOTRQJvnVtbeiNRqytJCycvoyYXokseeMZtAYD1lZWtHSKHMdY/wDKm5rwkbmi0em5dDWHmeOH4unsTEFNDSUNDUxISmTtp6Lz9K1V86hubf3HgF7xNRu2vseWrftpLG8k89oZpi6YzwerxBDennFpJPUbSk1FGfn5l9hwYA9RCj/6R/WgUdVGqCKYXVfO8dsnolX8j13rLTFoeoMBG6mUs/n5FOQ9YtGM8ZzJz2dM717Ymify555/D58QX9y83dj0wTv8euYIw+Li+H73YdLSEvn5q12UPLjP+q1iroTUyoqE4GAMJiPDBs1Ap1Wz49h21r/7I9u2vs+PB45zYtsx/jy40UL/6tZqKSmtpr2lnd+/+o6cu+eJi0mlsaGc87mZfLhyAyljU/AJEQVq4/v3ZWDyEI5dOUaYtzdPTVnOS58swVcmo19kDyqbGnhu5qv8vPMzAJbOe5cXPhARAE/SvaVWVpa0ap1Bz67zVyxYez8vTzycnAjw9GTEwIncyDqNj4c3+eUlbP/jKG8vmyu6bc1Bsp1qDUPiYokMCKGhpZ66NhWRvr7/OpNCYlKSsHH3btydHCmqq2dMr16WGVit09Hc2UluaRnJ4WEEyeUcyc7B203GtvU7mbxskgjINLf/qqoaeG70UEuxMqu0lMY2Fc3VzYRGBRLr74+jra0F9NrY3o7BZOJaTj5zRg7Gxd7esgLMmfISiz55iSg/P4tSzMHWhosFhSSHhmInlfLdT38y99nxPKytY1B0NE0dHXRrtfzw2R8seFW8yW3MvneJRCLGkP20h/gBcVQUVTFySAqOtqIJq8ps23W0tSWroJgeoYHEBwaSV1FBUmgojmYYzL1HZSh85YT7iGKhoro6+oSGUt3aSkJwMJ/+uIu5M0djYy3F09mZa8XFaPV6S7cip7yc2vI6PBVy5K4u+Mhk1LW1kRYVxaHMLJLCQolWKCyxdyN6xnEoK4ct72zk4y0f4u7kiEmAELkcrV6Po50tz89bw7tfLLO8/m3bD+Mb6suUYWk429sTHhhBcUUxPm7udGvUGExGbKzNhWBXDyQSCWdzs5k9fDImk4ltJ/9C4ebG6hc/4+uf32XOhPmkDhWZFkOmZbBv4wE++GIFwXI5FwsKKCuvZVJGKnfKypC7uPCwuoa3n34BgF9PHcDexoYgT09cHRwsic8OtraUNooqTJmjI1YSiWVcFNfXYzAasbexQaVWM3vwKI7fuoyd+XGeLCxPPAkezs5cLiyk6EEpn76yktr6ci4WFLBm4TscOPkbeZWVDIuL+8dx49Zt6srqmDFmMDqjkWj/QPr3n8Tjx3c5n3WZurY2vFxdaOkQFZY9FApiQnqQ/7gAjV7Phi9/5/U3nsPNyUmMLGhu5uixKwwdkQKAwt2NwppaBsfEUFhbS+a9h7w4eey/jnhJZzDw28a/OHz8Ck52dhTU1HCpsJBLhYXojUa8XFxwdXbC08WF68XFNFU1MSAygrfWLyU+MJDi+npL5X7G0IEiR6GsTLz5ra1xcrBn5pjBSK2s8HMTaw5t5rbkgcMXMZlMePi4U2uuKNc9MeWc2W7Bmg/vP5rh/UdzMvsujna2rH1jIx+u/ZGkoYn4ytxoaVDSrtFwJScfNycnFr7+NA/LqnhYVkVecSlGk4kH1dXYWlszY/oIegUF4RPiQ25JKUGenix6ZjU1ra3UtLZS19aGp9yNUC8vhmdMJfP2fWqVSkKC4zh54hoOzg64ODhws6CImwVF9AkNpVunw93JiVqlksmThvD2yg2sXLyOgpoaBDMrsbi+nuL6euL8/ZEHeBHl54vMwYHT52/h5+aGvY0Nvh7uFNbW0tjeTlVpDVWlYvU61MebrXu/xdHWlqWzVwEw/9n3mDZhIT3CezNi3ghiFApiFArGDByHulPN1f1XSYpO5OCN29wtzidUEUy3Ro29rR2Zj0vJGDiFjIFTaGtvpam1UcyEKL5DecUDyspr2LHjONt2ruPo+RtcunqALz5axhcfLePg5iMkDE1k3ZofcXJworaxhacGD+CTdVsxCQLffvALl3Zd5GL2FS5mX0EQBKL9/FC4u9OnVxpBAZHUtikZPWIu0QoF27YeZNrYeXi5ulrGxYNHZVy7codd247wzvw3qa2vYP6k55g6ZCIlDQ0MGziZLz/Zxm97TvDbnhNodDo+WPQOqf3iqa0vJ7H3YCprGth5ZCtxYTEEenrQOz7dbCxrJvNkJv369uRuRQUu9naoOtvZdehHqqqLifT1JS7Anz17TpN5+z6Zt++TW1HBvZIH2EmlrFzwPqten0d6UgbNHR28tOQTwn18mDN9FHfyHnIn7yEXc+8TLJfjI/fD38ODvvE9/v4N+aTK///yX0RMjGA0mYSyxkbhcmGhoOzqEpra24Wm9nYhIiJZmDhxmXD+/n1h2ozXBFtbe+FBdbWQV1kpbD58UrhdUiKkpIwX9mVmCvsyMwWtXi8ou7oEZ2d34dNf9gjXioqEqpYW4crDh8L5+/eFOXNXCxkZMwWFIkJQKCKEssZGoVurFbadvSCkpk4SevUaLKSkTBBO5OYKrZ2dwqvvbxJyysqEWqVSqFUqBXd3X+HKw4dCp0Yt6AwGYcuJM8LYsYuFkoYGIaesTKhraxOuFxcL5+7fFxIThguJCcMFjU4nrP95t3CpoED4eucBwWA0CrcePRK+3nlAiInpL3y3/5jQ1N4uqLq7BVV3tzB69ELh9L17wi9nzgtdGo1wu6REkMsDhANZWcLOa9eFwpoa4aejp4TK5mahsrlZuPHokXD0zh1h3ZZdgp9fuGAwGoXT9+4JNa2tgkanE8oaG4X8qkohOXmUkJw8SrheXCxsP39RuPXokfDT0VPC57/+KRTW1AgzZ78pPKiuFhIThgu7btwQsktLhezSUiEtbapw49EjQWcwCJ/8tFPo1KgFrV4vtHR0CJXNzcLtkhIht6JCOJidLRzMzhauFRUJeZWVwvXiYuFMfr7Qo0c/oV2tFo7cyRE6NWrhwoMHAkiEkoYGoaShQWhqbxfa1Wrhu/3HhNbOTst7WdncLOy4ek3Q6HRCl0Zj+XvzqyqFB9XVQl1bm3Dl4UPhcmGhcLmwUGhXq4XDOTnC/aoq4eidO4JGpxM0Op1w/O5d4WRenlBcVyfkV1UKeZWVwop3NghljY3CL2fOC3VtbUJhTY1wv6pKMBiNgsFoFMoaG4W8ykqhpKFBuFxYKJQ1NgqXCgqEA1lZwsiR84VH9fVCrVJpeY7fL18Rzt2/L3yz+5BQ1tgolDQ0CLdLSgSD0SgczskRfrt0WXhUX295T0/fuye0dnYKGp1OmDN3tdCl0Qg7r10XGlUq4bcLl4QvfvtLaFC1CflVlUJ+VaUQGzNA6NJohKWvfiYcuZMjZJeWCgeysoQPv/tdaO3sFN7fuF04kZsrPKqvFx7V1wuJiSOELSfOCGfy84WcsjLhu/3HBCD779yP/xTHh8jYWOG55W8zZFgKzR0dFu49YBESnbt/n+E9e/Kovp7sx6X4urvhI3OlQSVaj58kOIV5e1NUV4uHk8hKrG9ro6mjA63BQKCHB/4eHni7utKpEYGYP+w8zJRxgyiur2NwTCxOdnZ0abW0dnZSXF+PrbU1MkdHfvlB5MTMmD8ejV7Pod9OknP1Cq9tfI+JSUlcKCgg0teXgycvM2BAAl1arcXLcHH/FV5ePpusx6X0DQ9jz/6zpGQk0K3TiYnX3t4MSExn4erVAEweN4jatja8XV1ZOW81odE9+HbDG4QGhDNx+mImLBhLjEJhSeZuV6tRdXfj7+FBiFzOpz/uIi4lhpPbT7Ni9XNcuJaDtdSKMRni1rK4rg6jYMJaYoXM0ZEj+84zdspg+kdGcrWoCLmLC6ruboteYmR8PKfu3WNobCyFtbXs/O0Y6eNTWTR2OjEx/bl//yp/XT5lORsPHjCeeW8so7m6mYuHjrHwg5VMSUth0XNr2bXnMzIGTmHnkV+IMBvGurUa1DodGr0eH3OGxdm8e3y5bA2Hzu3lk/e3sHnjasvrWTj/faYsn8zh74/w4N5Nfj6wFXtbW+aMmcOfp/ewZPYrvPDBS0zoJ+6UW7u6MBiNIrdi7jsUFWaxae9mhvdKoEHZwpoPf8TeyZ6PVi+yHB827T1CYIQ/D3OKyDqVxc69nzFlwotEJcQyY/541iz5gLAe0VSY8W3f//EZ6977kSlLJzIsLo5gRSg/nz7C4JgYXpj7Lh9/9xrj0kaz44xYvG1QqWhpUGIltWJk30R8ZTKxnWrOuuzW6fjiy9/omd4TgJBAP/qGhdHc0cG1+4UkRobx65YDzJg3jvkTnuHS7TOUNjZyO8sMz/WSMSAumg9e38SAyf0JDPNnSp8+/zrHh39f/77+ff3zXP8UO4UnhUaptTX3i0uZPnigpZvQqdGQX1XF/QePSezdw9I28/PyZP3yT3nr2zeJDwwku0yEknZ0a5jUJ4kOjaj6O33vHva2NhTmluAX7kf/HlG4OTpaVlm1TofOYODXncd4/unxBHp6UtXSgq1UypTRc5m1YgFJidEEmCm5Gp2Oa3dFvJurgz2vr/qadz9eysO6WpJDQunQaNDo9axd/hXTXxOzIiL9fEk2S567dTq+2LyL9BH9OLXvIoMnpdEzIACZg6Ol8q1Sd1N07zG9k2NICQ+npKGBHn6+2NvYUtbURG5FBT4yGS72In9B2dVFjL8/9yorGRQdzWc/7ebl56ZiNJlwdXDgdH4+tv8h06BLq+XyqVtkjEqhvrmVob3jKWtqIjkkhAsFBdhKpZZ0I4Ck4GCuFBXxxaqvWPDhYqIVCqRWVni5utCl1RLg4cnrazexbLmIn/NwcmL32cv4+HsxMj6e1s5OhqYM535hJp5uctraW2lXqy1eBid7B2QyLy7lZTIxfQwqVRO7Lp0hWC7nuSmL2H5wC4tnraDP4HQA5jw/gQN/nmXOM2KY8Mm8PCrLapkwKJW8ykpiFApqlUpWzhGjB9f/tgEPJyfCvL1FRaejIxqdDkc7W5raRfCMs709PjKZpSV5t7zc0p72dHYmOTyKoppKbKytsbKywmA00tLZiaO50Ojv7k5JYyN//XmGL95ZjrJdyfkHD/hpzS/s+utLMh8/pl94uGVc3378mPzCx4xN64vU2pqY4Aj8/MJpaqoi/3EBVa0i6+JJSzLKz48RqSPIzBO1IG+99S1ffrEKQRDQmMV72387wqhJItPCyc4OlVpNRo8eZJaWcv3qXVYvnP23dgr/FN4HKysrPJycEBBwdndBEASL5rtdo8HD2RkXDxdkjo64ODgQ7u9HRVMzvfonYyeVihwGM4DDykqC0SQgc3AQ5cdSKU62dnS2deJgb0drZycGoxFn8w31pMvhF+aHl6sLWr0eL1cXqlpa0enUhEQFYmVlhYu9OIA9nJxwlDni4eREvUpFWO8wlF1d2NuIWz4vFxc0ej0hPUOJDxZj4JTmbaGVRCJ2GQqrsB3dn5C4YKL9FLg5OtGgUlm88+HePtR7NePh5ISdVGr2NOiRIIqQiu4+QpbW22KIcrG3R+bggK+biFSrLKykqrWVQLOF90noyBOQbElDA76hvqKa01tOc0cH7k6OtHV3YyuVEu7jg85g4H5xqfn1iDj27u52guRy3Bwd0RkMmATwdnWlQ62mIDMPK4k4KdQqlVQ9rKK7vZv6wEACPDxoaamlrbvbogmxs7Gx+DRkMi9Uqibxc/ALx2g04O7sTGtXF/7+Ymyft3cw/mZ7fGVLC+X55Xi7ugLgYGtLcJgoVLIx30j5BY/p6FBaxtgTEZCHkxP2trZIrawsR0gvV1fLBPsEXOPh7ITU2ho3R0fKm5rw8FRQ0dyM1Nqa+MBAUR4ukdBhfgyptTXFdXVE9onE3d0Xaysri9W7sb0dqZkDYmXuPuQXPuZx7mMM/ZPF98SgJzIymZYWUbYtCAJyFxeLt8LT2RmVqgmTYKK6VYmnvye1SiXh3t4YTSZMgkB4QjieZuOTn0zGvaoqDCYjGr2eHgkRf/t+/KfYKSQlJwufbt9OY5uKtOgoShpEbBfAgR+PsOKd52lQqZC7uFBUV8fM1FRU3d3UKpXcyC/k1tFbaDpFtZtXkDcTZ4/AYMZ6n8jMobqomoQBPXmYJ+4WHuc+RlkvDpinF0zk+u17ZPRPINDTgzvlFSSFBJNTVs7Q2FjUej0n7uYytGccIK4ggiAwOCYGqbU1R+7c4c+v9+EX5se42cNJCgmhRqnk+KlrpA9KFv++kGDa1Rqc7OzQ6HW4Ozmz+8o1YoMDsbe1wdnOHi/Xf7jYTALsu3aTyf37IbW2JuvxY65dzGHuzNFcvlfA5P79mDH5ZeZ/sBAQ6y6DoqNxdXBg56WrPDMkA5PJhJWVFcdzcxnZsyd1KpVlZb5eXIyfmxuXLmbx5guzWP/jLnqlxqLW6bhz4S7LlswU05bNq9qR21k8zCzihflTCPXy4n51Neve/J7XPl5EQVU145OTaOnsJCVWFEc9LH9IeZMIpw309OTHPUfpP6A3qRERZJWWEh8YyO8nzjNliChGepKDmRAcwvXiIoI8PVk8921+2fUZTnZ2bNj6JyNGD7BMAmqdFlW3mksXMln6zGTeXfM9n3z0MtllZfz+1V7WrH8JhbsblwtFrcvZ/ZfZ+s0HxMUN5Os/vsLVwZ6tP+7ntVXPEh8ey/wV7zB2+lA+fPFDBk0eBUDm6RskD01Br9Wz7MWZItvS2RkPJyeWLl/PxBfGcffqPWJTRSLX6V9P8/Gnyy1p0UaTidcXfcTL65bsAOJIAAAgAElEQVQyvGdPQoNjOHD5JDrzxJ8cEoJREGhsb2dIn8HsvXCEAHd3JBIJfWKT6exUMv/lNSgbxHEa0jOE4WMHsGTqfO4/uM70aa/x174veXXNRoY9lcGMAYO4V/aIVQtFbcaklybz0eIVFBbf4XhuLrH+/vQMDPzX0SlExsYKb2/8nqEJ8dQolaRGRFDWJK4cgR4eFNfX0dTegcLdHZmjIxs27WT01MG888I7zFz+HJOGDbBss06dvM47Lz5Da2cnuZWVhMjlHDl33SIZjVEo/pM5JK+igi6tlrLaBvpFRxLq5UVZUxORvr58+M12olOiGdW7F/UqUWEptbJGaZ6QhsbG8smXv7LmjQUczsrm6fSB/HLqHF1tXVw7cI2pK6cC0D8qArVOj42ZpCSRSCgqKken0dE7oQfVDU1MS0ulrk0UVNW0tqJSq9Hq9fQwW78TQ0IQBMFi5+7Sai26g20HTuEX5oeHizPDe/bkysOHpEaEc7+qmtiAAAqqq2lob7ekPOc8KMZKao1OoyMyIogIH2/2HDrPa/Nn8MNfx+iTFEOol5dlFYzw8eHnY2e4eeQmT6+YJq6yWi39wsOpb2sj1t+fjTsPkpYmTgqRPj7sPnURv2BfhsXF0dzRwbypSzl3cQ8xUUkUFt9BazBYjjNhofH4+YXz9R9fkRYVRUbGDF7d8CaDY2JYseJznl05nYkpAwkKigVg8/6tnDp8hVETRWx7flUVX7/3M+u+fZWWjg7RNWnQM3OUqBPZe3o31a1KfGUyZI4OONiK5KwoPz/yq6pobG8n1MtLNMSZ74fiujoU7u50abX4yGRMHTKJ0zdO4WJvR7tag9ZMNpKbJyqZgwMqtZrP3tnM3exLXM86y7XiIt56Zjk3s89yq6TEkjoGotq2sb2dGIUCjV7P4H7D8fUNxdnZnc9/XkuXVktbV5dlrAZ5ejJ34nwOntmF3MWZZSs/59sNb1iOul1aLa+/sJal614CxB2RSRBICQ9Ho9fz2qtf8euW9/91Co2ujo70i46kqK6Ok0euUNbUZDHXqLq7uf2gWPSMPxJBp8MmpaPW6XBwcCatXzy2UimN7e00trczblw6dW1tNLa3MzAqirO37jA8oy97/zjB9Tv3uVdZSUtnp4gdN0d19woK4sq+K3So1ZgEEyq1mkf19Wz/5kuyT2dzOu8eMgdHZA6ONKhUnD5xjSExMbR0dvLoTjEtnR1EKPwoqKnmqfT+zBg9CMEkoGxQomxQkldZRbRCQZi3N4NjYji26yzJvaPJPpXN47JqRiYloOzq5kbBQ24UPOR+YSnXjt9Cq9MTbUa2id0AHTZSqahjcHa2GK6GD+rLlL59qKlrokur5fje8wCiis9oJLfwMV1aLUW1dRTV1hETGcKNg9dJS+pJ5rVcXOwdmDJuEGqdjsEDEil4XIHcxQWtwYDWYKBbp2NAYhxtTUry84pRuLvTNyyMLq0WmaODeK7t0hLt50e0nx+OtrZERAWLlGt7e3QGA1ZWVthIpZhMJuxsbGjt6qKpo4Omjg5Uqiaqq8UdQkbGDK5e3YeboyO3Sko4c3wHAR4eTJ+zgsVr32Dx2jfwkckI6BGA3MUFqbU1De3tTFs5Fb3BQGN7OxKJiOmPjk4hOjqFsqYmov38iPX3R4IEO6kUH5mMBpWKCDPdSm80EOXnZ9FaRPj40GquGfjJZNTVPcbT2RkHWzuLC9ZHJrO4KhXu7ni5uBCTGktZWT6CIOBsZ8+4WXNwsLUVwa5m4VOQpyc6o5F79x9R0dyMi4MDBoOOiooHXL68hzBvbzycnAiSe2JvY2OR2Ds7uyF3ccYkiA5XW2trAj09sbaSoHBzY8Scsf9wkppMONnZIZFIOHQzk95DEv72/fjfjY37ApgA6IDHwPOCILSZ8yEKgSLzr98SBGHJf/UiYuPjhR4Rw9Foupi6fDoubs4Emc+/2XcLeWnaeF5bu4nP1r5ESUMDbWad+4m8XLR6sdU4Y9gkAH4+tgeD0UiMvwKTAB++/T06tY7+k/pzcPNevtz2MTey83Ey023nDh1EZUsLO/ae5PVFsyhpbCTc24vfTl5g3MB+5FdVcXrPBewcxa33cwsmsXXzPuLS4hjXvy+ffvYr1jbWHNvzBys/+wB7J3vcPFzZv/Egr34obu/DvEWHoiCI8fQKd3eyHj/m+qU7TJk0GHsbsVj1ZLtuMBl5a/lX7N39GRt2HWTW2CFiVF1XN/HBQcQoFKSnTaZnopgJMG3pJNycnOgTGsrd8nJiAwJo6eigW6dDrdMRZb5Rn+ymGtvb2bPrJAFRAYxL70duZSXVZbUEhCo4uPkI7368lC6tlihfcwjvw4dkXsklLiVGXL1fWo+TmzPBsUGc2nmY935YQ1pUJKvX/gDA4pdnoHB3x9rKioe1ohT7SXSdjVRKWXkNfXr24EGl6FfxdHXB3dmZj1d8yeKPFuHm6MigmFgaVW1UNDfz6Rvf8+IH8y2r8pNBn9ZnGEvWrubL198g+0EWm7ftZ/s3X3HnwW1c7O3Jq6wEYNFTC7G3d+aZ1xZy9o+z+Ib4sfrdF7hyv4B7V/LZu/V7oqL68PRbz+PhIba2F4ycgK2tA2p1B4XlxeSUlREfGIhGr6dTo+GtRe9TUnKXOUtFFefsOaORu7hS3dJCU0cHN89ns/7NF7lZVIhar2fmkHGMnzafzz9dCYiqT63BQEVzE4ePXSY1PRG9GeJ78ugVTu3eT0NDOfX1Yl0nq6QYnV7PnYJHDOuXyMJZq/h864d4ubryxefb6VZ1sfLd+QyIEaPvbhTmM7b/cN7+bgNzRg6mQaUiWqH4H42NGwlcEATBIJFIPgMQxNi4EP5DaMzfvWLj44UdR48SIpfz25GzJCT0sJh9NHodqm41Nx49Ii0qyoxhh6LaWvqGhfHLnydIz0iy5DY+qq+nvKmJXkFBGIxG6sxAzryCEkakJiFzcMDTxQW1TtQQfPXzn0QmRyK1siIuIIAIHx9KzOTcP/efJS4lhgBPT0tRytvVldLGRjq71Xz0wip2nNxDYkgILZ2dFk2EzMEBhbuokAR4adYyDpz6g/vV1UQr/Ni0aQ+ucldSByfh5SJCZMf1H0ZyshgU8urny7C2suLCmVvY2Er59cuvyXtwg3GjnqerS8V3uzcSJJdbtpZHb2TSL64HV27n8sKk0bz90WZWrniavUcvEBQdyK/vb0Wn0/DFL2Ig7e7fjzNwfH9K7peh0+rIu5jHy+/PJzUigkuFhbiZJb9PCmVh3t78fOwMw1MSOXH5NilJsQR7ebFiyTqGzB7C9nU/8M7m90kIElOeZ09aRNroYei0ehorG5n68mR8ZTJu3sxjzLD+7NhxnBcXTmP80GkA7Dr+B61dXUT6+uJoa8utkhISg4PxlrlxMDsLjU7H6N69LZPm4PSpPP3qIvxD/bhx/BYfv70Yk2Bi9dof+PLj5YSFxLHr3GFLh6lPaChdWi3tajU3ih9RlFXEwOF9ef2Z5ew7vZvK5mbsbGzwdHa2QFDqzDqRWqWStSs38P43K1mzfAODZw0moVcU9x+WEhTsR+7NBwD0H5TIvq1HeePt+ai61ax/6wc2//weOeXl3LiYw2uLZvLuxz8xZsZQyzi6+6iUB9cf8PyCyRjNBeEiM8HLRyYjt6LCklVZ3tws7kqsrHC0syNELmfPlesE+Hpx6q+LLF82GzcnJ5rME39JQwODoqPZeeEK5/84z/pvVxHm7fM/lxD1v/3fFGCaIAhP/3cnhaTkZGHv8ePcq6ri6JbjvL72BQuSurG9nW837kLVrMI7yJugmCAiwgNRuLvx/JTFfL9nEwaTyVKlDZbL0ej1nLmZw9i0vhw6d50Zowfx468H8Ar0omdcBNEKhcWG+4RFMGH084ydN4WxI/pz7NR1Zk4aylMjn8bO3olFH60gJUaMfd9/6AIttc2sWb2Qls5O5k5exMFTv6PR69DqxXzA1q4u3nzxc2RycWUbPGswTw1Iwd5GXK33nrxEUmI0q55ZSWzvfrz89jy8XV05eklM17uy7yqefp54B3mx+uW53K2owMnODjdHR/RGI462tjja2XHNbH7xcHYm2s+P9z7YzPNLn+LW3QLmjRtugaz+vOMIngpPCq6LA3jCvNF8vvJzNu/8gneWfcXPv31AS2cnns7OaA0G3nz1a37ZstYCt1F1qzGaTGzZfoji7GLWfLGMEC851a1KtAYDQZ6e5FdVkWKemI0m8Qjmam+PjVTK7mvXKbxZyOoVz/LMzDfYtnMdp/PuMaCHiNCbMfY5/P0j+WPPZyxf/hlnju/g8NXTVCuVTOnTl8rmJrb+cYTQeLGtO7pPoiWw19vVlQfV1XRoNMT5+1OvUqFwd8dPJuP73UcASEmNJz4wEHcnJ7JLS5E5OmI0mbC2siJYLudhXR3Kzk7So6MtBe6K5mZKGxtxcXAgNSKC2OgUHhZlYhIE8ioqsLWxMcvHxa6Fr8wNW6mUtz7ezIHffub8rbNiF6SknDlD0qlXtVnw7SACg3IrKtHq9SQEB/PCs2u4dGk3Pj4h5OVfpV2tpkGlotUM9alVKsm9lMcby55Bam3NN7/8xaoXpqPqFrM7/Nxk/LD7KKOGpQJw9nImk0emY2ttzdGrt1HWt/Lu0rn/v00KR4G9giDsMP/cA6AYaAfeFQTh6n/1+OExMcK0ucvpP6of8YGBBLi7s3nfcQCenTAcKysr8ioq6KFQIHNwILusDLVOR4dGY7EXn80SzTs+vnLGmDkDt0pKsLay4saNXJL6xKLs7sZXJiM+MNCyytpaW9NhBqIMjY1FZzBgKxXjzmpaW0UCkMHA6ctifMWzE0dQWFvL3bwi4ntGcOdOIVNHpbNr/xleeX46P+47jkwu497le8xf8pT4mmQyS0Zhu1pNXl4xA1N6UdbURP/ISMqamqhpbWVUL5H+LLW25mjOHaal9OPjTb/z7JxxBHp48Mmm35k2fSTnr2bjHeRtaXk2qFQ0KNuYnSZW8zfsOEB0fDiuDg70j4zEZDJhMBmRWok9+JKGBh43NmJvY0N6jx48amjg+p37zB4xiJ2nLjJn1GBqlUqu5Ig4s3mjh3Ly3j0mJydjEgTW/bCDHRs34eDgjJ2dI3NfX8LU4QMtMej90nszJDYWjV7PpcICgjzl+MhkXCsqIiE4mKPnb/Di9PG8tFJ0DL6y+jmc7Oz4fe9J0of2IcDDg9Uvf8G0V6eRFhVFsJc3Z/PvWRB6AyIj8XZ1JSoyiWdXvoJMLsPT35PVc17g3R++pX9CLEaTyXIDXisu5vBPx+gzKpkH1x+gam7nk69XsuaNTfQb25evXn+bGQteJH5QPO3N4kr73TsfM/ulpWSdvsXXP69Ba9BjNAnoDQbcnJxYPOc1KisLaW4WtSV3isUIvLO375KWEMeqBWvxVihY/9Ur4hH0r4vkXc/i2KlfAMguLePKhWzeWDSLWyUlBHh60tbVhczRkfOZuTTXNvPDh+8zMEMsVn+68VXsbUQDV7dOx66N+3nulRmEeHmRljCANT9uQqfRsW3dJgB+/GszRw9dIigmkOjwYB5V1rBg5LD/eZ2COePBAOw0f6sOCBIEoUUikSQDhyQSSZwgCO3/h99dBCwC8PDyJiIxgkHR0dQqlUgkEgamiDeImzniTO4iagg0Uin7/zjJhNkj+P3jP4jtH8crL84iPUGcr37esp/hcXF063Q8fFzBUxkDONV6lSg/P6wkEnxkMowmk0XOev7BA5o7OpC7uJBTVkaQXE5lczMJwcFczb1PcKAfg6KjkQwWJcIavR6FuzulclcifX3JMRXgK3MjsEcgdjY2GHQGCm8VIpgEWsytNmsrCa1dXSJ7srSKoQOT+XPvaWJSY2hQqbh8PovFz0y0MCTauruJDfBn+6nzjJ84yFJ4XbvyeXLKyhg6MBlVdzc9zGf+X7ccQBGu4E/pbSYlJTFySAqhXl5kPX5MU3s7RXV1lNXUkxApeu2PHr1M/8FJ3Lx0B4n5PSm8WYgwPIOW2hbKmpqwkkgY0lecXI2CwMOcIl49fJ2R0wYzZEQKUX2iGB4XJ2Z5esn59dg5Bg3rC4jpz9/uOIBvmB+jevfCYDKxYM6b/HngG4akP8Wlqwcwmkxs3ijKuocMmoG3dzCvf/4iIxP7MX3OCl78YD5JoaFs2LKXs/n3GBHfCx+fEAA2H/uTm6cz+f3knyQGB1PW1MRrCz/k6t2rqHV61DqdyDgcJE7Kh8/twf7lKTjb2/PU8HSLlmHb1vfJq6hg2/G9RPn5UatUovEWd6jrd3xHpI8Pw0amouzq4q2Fa9n0+6d4m+sZP+36krq2NksHxWA0oezq4tbx2xz8fj97D24ir6KCgUkZ5BZk4vSMHW+9/jwlDaIr09fNjbFjB1LbpiTKz4+pY54jNCIWNy8ZC5bNwBgbQb+0g5Yio5XEitmTl7Lr4A+4ODhw2t+TxJAQqltbuZRzFY1ex/JnV/PhL+JEayuVMmZiBskh4nv2+6b/a5zrf7r+25OCRCKZh1iAHCaYtxuCIGgBrfnrHIlE8hiIArL/998XBGELsAXAy8dfEIwmS8Zja1cX9WbegVavp0OtJsjTk9o2JV1aLc3VzZRW1uLu7YHJZEJnMFq8D06ujrR0dtLU0UHWqWzmjx6OtdQaPzc3kb7U2YnBDM8AcasrThau5BQ/prWri8YWJd6uriTHRtGhVv8nBuOTWO+WulaMvUz4hYmTjYebK00dHZTmlVJXVkva5IGW9pOVxIrrF7Jx8XDh4a2HjOnfB5PRRICnB50aDQ+uP8D62ckWYYuqu5soX1/OtXbQ1t2Np7MzLZ0duDk64eHsjEavs1TeQYy6ry+tx81bRkljI+7m7XFjezveMldspVKkttJ/RLMbTSjc3bCxE7fA7o6ONFQ0cL+6Glt7EeJa8LCMwf3ESaGwpgY7R3siEiPEiDcHB7TdWlo6OzEKAlYSK3r3jLTUIJzs7AiPCyXQQ+QNVrW2kjJmALZSG1KHDsPayorG9nbczOKrPoPT8Y/wx9vVlaCgWBKGJSJ3dcVOKiU0PpS27m58fEJoaCgHQOHmRnS/aMtY8nNzo7g4k5YOMZW5tatLDKZNFRWQns7OeLm4oDfnbhhMJrrNbV2ZoyPdOh2OtrZIra1RtYvjzsXeHk8XFwQEXOwdSMxIwdPFBZmDA/WqNsu4sUz8MlcU7u50KjtJGtKXTo0GL1dXQkLixQ6GmxsanY4HVeLOYkhcLFqDAbVOj6/MjdThQ3B0cSQkPsRi71bV1FgEamqdjpSRGTiYOZJBMUFmvqSWbq2WILknLS01ls+gXa0m1MtLdA9LJLTU/n0c23+rJSmRSEYDbwITBUHo/g/f95JIJNbmr8MQY+NK/zvP8e/r39e/r/831385KZhj424CPSQSSbVEIlkAfAe4AGclEkmuRCL50fzjGcA9iUSSB+wDlgjmOLn/2+XjKyckWEG3TkdBTQ2N7e30DAigZ0AAFc3NxPr7m3mDosx10VvPMH1QGtu2rEXbraW4rs7Sz/WPFMM2XR0cWPP+EpRdXQTHBvPAzBVwc3LC3sbGwi747cs9FOeWYG9jS0p0FAMiI+nXIxIvVxc61Grczav0pbv5XLornrEbVCqcXJ2YMe45JvdNpqWzE1+Z2DeePH8sy9ct5tV504gL8CcuwJ83l6zn1UWzGDGoH2s/XMqDmhraGsRto7+HB8s/WEDf3uls/HoHG7/egb+Hhyj11uq5di6LSemjaVdrmDzxJUYNGEVrZxfNHR1o9Do0eh1RyVG8+9lLSG1t8HJxobC2loM3bpN5MosH1TX88tVudnyy3dIjr3hQgbOdPXWP66hpaGb2pEVMenkSAyIjcZWLK97UoWnUKJXUKJX0DAigsaKR+Nhw9AYjzR0dzB2SwbkbOZQ2NpKWOp5Du89YPs+eUQmsfGoekzPG0L/faEobG3F0ceC5599jyLQMFi75CJW6m4Xz32fh/PeZ8/wEQmODUeu0bN6/lVHpfQn08GBw+lRG90lkQGQkm4/9ya1Hxdx6VExKRCQ/vbsBZ3t7Xl75GQ62ttwruEVVayv2Njb0Dotiww97kCvkyBVybMy6BAcbG87k5vHLnmO0q9W8svILlF1d+Ht4kFdZid5gINLHl0gfX5JCQrC3sUHm4EifmEQWLZ5GYnQSM6e9SmljE1klj3EzQ15ljo5UtypJS0xnx451zH1mHN9v+Qs/Nzd69ktm6uRluDg48NfxS0T4+hDh68OuY+dRa7XsO3iem48ekTouhXdXziMpOoLmzk46NBqifH3xc3PDz5xr6uErovV+OXKaxVPGsHjZOpTd3ZQ0NFDe1Ez2nXPE+fsT5++PvY0NNlIp733+M7+dv8TOPZ/+7Unhvzw+CIIw+//w7V/+P352P7D/bz+7+bKVSi06/6SQEBxtbck195gNRiOhXl74u7ujMxhwsrND2dVFfVsbzR0dBEQF4OHsbNkaN9c2EzM8w4xOd8TW2hprG2tLd6K8qckS+Q0QmRyJXCHH393d0oP2kcmwldrwuLqOZ4ZkiB4BP/Gs6e3qiqu9PTGRwUxbOg+TAGVNTRiMRtycnIjw8aFbp+NRfT1h3t4ATFw6EUdbWyLNOQHVtY2E9grD09kZN0dHpFZWzF76En2G/EMRKAgCAwYm0K5RU182D1V3N2Pnj8f3vD+nj1wlYdA/8GR+YeLgGRAXTbtaTXV9E1UPq4hJjRYFTHOHU1tSS7A5LyN2QCw+Mhk+wT4M7h1Hdv9UfNxEy7KNrZQgT0/sbGzY9NOfAET5+uLm48bxfRdZ/tIsMRW8q4vxg1JxdXBg7JwZ/LFpAzPnimzMtPQpnDi2BUdHGT179yfKz493nn+dwePHs2/jARKGJmIlsWLK8skAHPjzLOX55Sx7fz6nDl8hoEcAM4al8/Sri2juaCdG4c/N05mWI0NKyngyM48TozhAn1F96NRo6NRqGBQdTUtnJ+MmLCbr3HVqasSItlXLn0al7sZoMpEUHkqor0jDfmrpRIul3loioaWz0+KFsZVaozeacHNyIigolqNnrxMZKcrW5S4uRPmKKHqDSZQtSxuskcm80BoMHL9wk4nThqE3Gsi+coXYxD40d7Qzaliqpfj5+aEbCCaBISNSUOt07Nuwn9B1Xpy/kEnGoGSaOzroFx5usd97Ojuzd9NW+u38lupHNWSWlmJlbYXCzc2iT6lVKvEwIwfCvL2pUSrxj1AwJKEnBjNK7+9c/zQyZ3/v3vTsl8yQ6YOIUSioNlfr/d3diVYo2PDHfpY/PYWWzk5OZt1haloqR25nEejjRYiXnI/WiJuVN957ATsbKW6OTtS1tXHi/E0qCyoZOn0QN07c5qWlM9AZDEitxU2Sg60d7o6ObNp9mOVzJouQCYmEgpoaFO5u3Cp5TH1tEye2ipX1Dze9xpmLt6ksqCR9ShrXj95k4uwRbHjre9Z++xpHDl8ivHcYl/deZsZLUwAIN08Oqu5ubKRSS77E2XO3GD4sBWd7e67nPmBoX1F1JggCW7cdZP3qJcyY8Trvb1iBt6srb735LQtemYWLgwO7d57A05xjmJQcg0qtZlxCAnqjgQfVNbR1d1NZ08DktBSLEetJ9b5drebAsUtE9g4nNSKC4vp67ueXMHPMYDb+uJenzUlSTwZSkKcn+67cYHBiPO5OTjw1fiF+/iGUPb5PQcENlr7xMevfWcLW42ctr3/msHTaurs4cPoqqf3EluA3v/zFnOmjWLfmR9Z9vpJVL4tFsbfWLcXb1ZVfdh9l4KBk5C4uTB02lXU7vifS15cpgyfw+8k/LePF2d6eGIUCOxtbpk59BUEQWLluEa88vYKeiak8t2omgZ6euJnP1+u++JUuVRdTFozjlZmLkUgkXMs8w4uLPmbs4rG8MGIkPePS+XHfjxaT1qyh44mMTKaw8BY7LxzH09mZ0sZG9AYj6dE9SIpOQKmsJylJ1JZcvLqf7NIyyusa6B0eyvwpCzEa9Zy8dIBdR89z+/htsjNP87A4BxBNXa2dnXjLXKlsbiFYLudRQwORPj7klJeTeTabjR+9gUIhtnlPXDuJt6srlS0t1CqV7N64n/SnBjJraAYJcam8telznN1deGWKaErbdf4Y27/ei5OrI2vfX8q1oiKmp6T867gkbaRSAkLC8Qn2wVZq/Z9SjmSOYux8YI9AOjUaCmtqUDYosbayIjooAGd7e+pV7Ux8QSQnB3p6UNLQSL2qnYSgIHomROEf6U9CUBDG0Sa8zMWjZjP77tc/TzBxTDrewd5UtrTg5yajrk1ltiY70KXVEh4aYIlNzyubRkh0ELeP3+bk9tNkTMsgITiYEXNH4+bkhLuPO32iIlAsk1NZI4qgKivrmD18EMquLsK8vSltbBSDT8L8KK6tY0b/VFZtWovsA7FY6u7kRO9BvWlQqXhUnMPJc7eYNm4QJw/9RnBsML0H9GTkxHTKa8XHj/T1pV2tpkbZir2NWDDbv/UYLbUt9ImJpLG9HXsbGwt41c/NjYBIf4LlcmqVSu5kFZAxMBEvFxf6j+zDo4YGEoKCOJeTB0D0sEFEhwVhY21NZUsLWm03qz5ayHsvriMysg87Nn9N0vBEnh8jMhR7x6dTvWABtY9qOHX0Dz7+bQtRvr5s+uAdVi99mh2/ruf5VbN4cE/UZcQoRFHV0mcmY29jg9TamiVrV3Pj+C3SXnmWZ1e+QmJwsGVMvLzyM/qM6sPUqa9w8OA3/HTsJBE+PvRMTGXConH88vku5AFy3nhVTM0ePHkgicHB+Ht40NWlor29mdo2JY8f3WNW2sdcXfQed25eITk01CI4e/3LL2hvaSfyYTwfv/QRZ8/vZNG0Jej1WqIObcPNzYehw+cQFCO2hdU6Pe8tXsvazWuJ9fentbWWV79Yh0kQ+OrNNzl87QxTBx2x5C/8ses4oydkkFdZRVrkP4q0QdlhcskAACAASURBVHI5/h4e9AsLQ9Opwd3XnCjVLLpm/d3d+XT1ZlZ/+iIzR85gyKVDxMT0Z/rggdQqlSz/8BMAymsbWPHu84xIHsA77y2yFOL/zvVPsVOIiY8XUvtP48LpP5m1+GUMOgNz/xd77x3c5L2ua1+qlizbcu+9VzC9GtM7hA5JgNAhQBJISCckJCG9rxASQkKoCT2h995tsGPcjXu35W7JVj9/vIrOPt+3vr3X7NlnvrVm1jvjGSwLWbL0/t7n9zz3fd2LpwLwx/GrbFyzgGlPPM/vf3xDZrkQCe9pS4iWicUo5DL6Rgql5f2ifA4fvsC06SNxUSqZM2EBwydPRiKV8Ov2rzly9TSH9p0lIEroTzwzdQyVzc389N1hXnllEemlpfQNC+PVdZ/xwttLyS2rZNsbn5EycTwA8xdN4bWV7zH/zUWkxsfxzdbfqMirIDvrFkk9hzLvpdkEurnx6+5TLF4mlMciRDS0t9Op7ybC24dAd3dqW1vZveckM+eMIcjdHStWcqoE26za0ZHnnn6Ry1cPsPfydZ4akcLeS9eIDg20R9736zseg0EQYB04+6u9DL6cm8vE5GQqbMj421m5DOuVRJSvL3nVwuN7ODvz9qbvmLBwrJ1w1dTZSX5GES11zTy5YBLZFZXMGSQIYb4/ehq5Qo6uQ8foYf34fPMOhs0ehre3G0e+O866jYvxd3Nlz3EhD2PW+FTcbF3zMo0GqVhMW1cXTR0dyKVSahqaCA/wtY/b6mwA1GM/n+KZ1TOpb2/n2SlzeVyaw+2iIh5lFTEmpa89h0Ipl9PZ3c3KRe8wYdl4Vkwaj95o4GxWFnMGDaWlo5Vuo9GeTD4kvgdzF77EpCUTOPTlEaL6RLFm2SwqNBrupGVzfs8ZdLoOXvpig91CvXnNFu7ePY6fXzj3Mm9wu6iIfuHhNHd2IhGL+WTzjzRU17HyPUHKHublhbeLC2KRmJuFhTQ3t/Ha04u5/eg+ta2tPD9vNbOfXcrwEcLYNikoCAeplF+v36S9qZ2YWEGYZTKbqaqq5/j3vyOTKbh9+xgAt7Lu0djRQYVGQ0JgAF9s2cnS9fMI8fTkzN10SrJKefX5BYxJFVSih07vYmLqE6x+7w0WThyFRCzCSaH813FJurv7Wr/+/RBzBw/CaotT/8tiGuTuTlNnJ/EBARTW1lLd0sIXL39NUGQY7U3trNi4kLqWVmYPFHQE+6/dJCLQjy6DgeN7zvH1Ry9yIiODKb162QM/tHq9HY5xt7AIHzdXEgMDuV1UhMFoQi6T4iiXE+PvT6tWS5y/PyWNwny5qK6eqb178963u5k/dwIZZWWMss3r69va2PXNIVzcnYnsHYXZKLyGBZNHsfmDHzF06TGbLSx+fg4GoxG5TEZZYyOZVzJZv+Ypu4w3q6KCgZGRpJeWUlrfwNzBg8itrkatVBLq5cWD0lJi/f3sf7/frt7i8r5LrN20hC69HgeZjF4hIWw/eobevWJJCgqiy2CwQ1yclUqC3N2pb2vDw8mJUC8v3tu6h7AeYQR7edLZ3c2FI9dYtlKY8xfV1wshv7W1xAX406LVoenoQCoR4+HkbO+ddNsqPA+bpuSvGLNfr9wk0N+b1NhYdp+7wszhg+1hKwDX7/9JSLg/Q6NjWLXsXWatm8HQmBhclAouZOfQodWx/8M9FBYKArKs3LsCWLapmUgfHzydnVHIHdh74wazBvS394/2XRWqu6eHp9jH1Gqlkk59N6cv3GHU8H54ODlR3dJClK+PwNCwfe4c5XLCvb3RdLTj7+rG90dOs2rmRKQSCbsuXaVnZBh6k4mC8ir7+/D08BR6J49gzZY36BkfSbSvLz/+dpIXF83CZDHzZ0UlB385CcC7G1fxoLQUH7UaF6WSs/cfUldSx4BhyYR5eRHk7s694mKibFqUk7fv4+bpSpSvL3H+/hxLT2dW//58uecIoXEhjEpIICIokhtZaQCcunCbF+ZPF/gaGg1Thk2itDTrX2dRCIuJtS5a+zrjJwxBIZcT7evLzcJCAIbHxWGxWLhXXEyv0FDMFgu3CwupqdPg7+tJsKcHDlKZXfgTHxCAUi5DKpbwqLISkUhEYV0dUrEYX1chczE5JMSui8+priYxMJCL2dmMTUqy9RsEcUtmeTmB7m5IxRKOHL8MwLwZY6lrbeXcKSFgxDfMl2fGj+TIvftM6JXMj7+dJDo5ksePShg0WJjzN2uF1Ku/mBCHdp5i9fPzyK6qIjEwEIPZzI6th5i9WNgCJQQEcKuokNEJiaxe+yETl45nZv/+TJ2ymqdeX0B1UTXjRg20z7CbOjvJrqhk9sABSCUS1r70CZMXjqOsrIZlk8eSX1uLXCIhwNbkamhvJ6+6Gj9XV0I8PUkrKaGzu5vRiYncKSqid1gYBTU15BaWAbBowigeVVbSJyyMbqOBz7YfoDizmMO/fkVszADievTnjS3PorHN7K9evM/CeRNo6ujkzJlbDEztRd+wMH46fJr508ay5YMdfLB5DYP6jgHg1FXhalhoa84aTSb2/3aG1oY2nlv3FCP6pnIj44Ydd17Z3ExqbCxjUmeS2GsgM1c/QWdXN/NTUrj4KIvcvBLi4sJJsSVu5dXUcD87n/6JsXy9ZSelhYV8u+djpo2Yxq/nDrJu4cukTB7LsiXT7Q3oLa98y5hnxvDw/AMGTRvM4NgYLqdlonRxpF9kBMvmPIfZbCYzU3CkltdXcS0vn/qqRsYP7ceYgWNY/vprvLpsHt/89gduPm58tOZVTl4TpNf5NTVcOnqdVavn4CiX4yCTUtfWjkQkwmy1Ut/WxlvLXmf0LMHoN2/eOII9PGnT6YS4wexi3H3dGZoYR1JoBHcLcrn/KJ8bRwQy05znp6M3mih4WEhAVCCGLj0rp4z/11kUYpOSrOOmLOHS8aPMXLaEro4uli4TmnTbvv2NTzY/x1NPvsb+Xz/i7uPHeDg52T3kXUYjFouF1HgBgvKgpJhjv19m1LhBqB0dWTxtGamTJmGxWDiy6wd+PHWAg1uPERgjsAjWr5wnuCR/OcHqZ2dz9c8chvdM4OXVn/Dyh6so02j4ct0HTF0yD4Cxowey+YUvWPnuUvqGh7N1x2Hunr1OQ0MFMXH9WPLGfNxVKo78eo5nFgtvqEwiIae6GrPFYreE17S0cPSPK0yZPAxPZ2dclEr71kjt6MgLC1/lwqW9HH/4kLFJSfxw4AQjhvVF7ehImJcX8XEDcXYWTvKfj/2IwWgk3NubI9dvMyt1iD3h6OKDPxnVpwdhXt7k2CoFN5WKTz7fxcBJA4j08UHT2Um30ci9C+kY9UYWLJ5Kel4Ri8YIKdJbvtuLm48rRoOJiSMG8sO2QySP6EmYvy9H95xhzXNPopDJ2H3oDADLn5qCVCxgy/6yqbd3dSGTSu0UKovVSqQtt+JxfT0yiYT9Xx3muY2LaGhvZ/UTT/O4JIt7xcXkFJQyrE+SffugkMlo6uzkzVe+ZsqKScxPGU67tp2bBQWMTupBl74bg9lMru31pib2ZOacF5i0cjJ3jt8hNCmUaWNT0BuN/H7qGhmXMrBarDz5ylx8bXvvd5/7mAcPzhIQEM21O6e4UZDPkKho2ru60HR0sG/nCWqLa1m5cSEgiJ0ifHwQiUTcKMjHYDKzduo8rjy4gcFsZvbomTz/4dskxQuNw75hYUjEYg7dvUfJnyX0HdrDDg3Ozynhj+0HCAyJ4PoVYcE8eescbTodBaWVjO7bk/c2buPFt5bgIJVx/3Exd47f4eP31jJmhDAs3H3se0YPGMWWvT8wsVeykC0il//rLAoJPXpYP9+7l/7h4ZzOyCTCz9ceqa3V6/FwcuJRZSU9g4MpbmigrauLIHd3/FxdefW975gwa4T9qvDHgwd4OjsT7OmJXCLBZDFz93ExAW5u9AgWVGAWi8WumNz85lYSUhJJGZSMk0JBqKcnZRoN3i4u3CwsxMPJSaAU2TQKvWKEHMW7Gbl89eombj64goNUSmVzM26OjmSUl+Pk4MDQmBiK6uoAWDnvBY6f3UVeTQ2B7u5cy8kl/Uw6K9fOwYoVbbeeSQNTGTNO+ICtf3cZHs7O7Dt4ls6WTnZ9+wkP8h4ye9ISamqKOHpVKEH/Ktt/OnKGsSMGcCczl9kjhnDywUPcXZy5eOQa/cb348gXR2hqquabPZ8C8PWHv/D8a8+wZ+dxwhJDOfD1bp7/bAMz+/dn5/nL9IuPRimT2U1jSUFBvP+33cyZPYa72QW4eaiZ2rs3Gz/eTnSfaD5+7jVWbnqNSSMHATCiTwqhoUkYjd1YLBbe/GELXd16Lu+/zKoNT/P15p9444PVPPuUkB/x08FvBPWlzRotEolwdXQkOa4v1x7eoLO72z7yBegZHs2kKStZ9dYz/PTJfn7cvgmxSMSPf5xl+RPjUcgd+GLfEWRyYTu2cvpEmjo7ae7s5FZWLsWZxYyaMpRP1n/KZz+9Zwee+KjV9ucgEYtxkEqpa2tjwuCx3Mm8yZDeqQwbNZ3562bzuLiSxNhwe9KYk0LB68+s5/qdU7TpdGx681s++/RFvt9/nIfnH7D9l818/M0eJs0QFtqy2noiA/3549BFps4ahUgkIjk4mKL6eswWoSHeotPhZcOrFdXVUVbfQJCXJ1WaJp5OGcpLm75h3OwR5GUXMyqlL3H+/naXZEFtLckhIXy2dT8uni6snDcFN5XqX2f6oJDL8VWrqWhqYuYAIcLt/U9/BmDynFEUi0QMioriWn4+JrOZSB8fsioq8FGreeMl4cry13xZ7ehIn7AwrufnMzgqCmelkvE9VHTb9riH7t4jyNPDPuEYtWA04b4+JAUFkVlRwa2iIpwUCsK8vPBRqwnz8hJkwGXCCd4W5MfQmBi6jEa+OLgDL2dnMsvL8XN1xcPJieFxcTgpFHZ2AsDOw1uxWK0MjIyko7ub+tJ6Nr25HEe5nLyaGuIDA/lwzy9MGyL0RWrb2gj28OC5xTM5+eAhOyYfJaO8jMmLZhMcF8ziJxZz7OJBe7m+Zt5UpBIJXs7O3CwspL60njc2LueDPdsZmZjA2F+S6DYa7Z31jz9eh4tSyfrnn0bl4ICLl5oZ/fqRWV7OE4P7U9bYSIyvLzFRgm5i99nDLF/4BOfSMpg8qB/nM//kfrFwYinlcmYvW8EP737EkulXAZgyeykVhSW0tzfh6SnY0ffvPcXjnGzyq6pxUDpQ2tjIss0CJaimpYVHucUsnjya0sZGu5tw/8U/8FOrydfpUMhkdk7mcxs/Ju3iLYI8PPAM9LS/t3Fx4RjMZr7Yd4SX5s/ivW27AQH+q1Yq6ezuxmq2EBQTRK+QEBa/s5JgDw+6jUZyygTg69WcXABmDuhPi1aLq6MjSUnD0HR2kpg4lOuXjvHOh2voMhgIcne3Y+f7hoXh4OCIysGBkoYGRj41EieFgoBIf07sPIizUknyiGQGRQnO0LE9ezN1+lq2bt+IzmDg4oM/6RkcRFNHB8khITjIpPZ4AxB0ChfP3Gb0oiSeGjWFaaU5nD64j02vLcNRLifQZvn+q8Hr7+aGo1xOwf18du7dYn+cf+T4p6gUeiQnW7/ev5+etmDZaD8/im1MA6kt06FCoyHUyxOFTM7Be/eI8fPj0tU0ujq7eHbhNB7b4r+O/Xqe919fgVQioUKjEUq0s9dI7BFFiKcnHk5OdBkMdpfkjYICTEYTcYEBxAX4IxUL1YVYJOadT3awfPlM3FUqWmwz/r8abjqDgY6uLhra24ny9SWnsorZAweQUVZGVUsLpbllLJst9AhuFxaSGheLWCSARi6kZ1JXUsfIMQPoHRpKemkpBpPJ7q/oERxMSUMDFU1N9AwO4tj5myx6Yiw6g4HfL99C5iBH6aJk+gABsrL98CnGDe9Pt8FIXIA/v129RXRoIFKJhDAvL+4UFVFdVsvSqQJ/8IudhxgzeiAnj19j2vSRpD0qQCwRMW/kMLbu/Z0XFs5AKpGw/5rQqJs+aABf/HiAhxcf8P7WV5CIRBjNZnoEB6M3GsmpquKlxa+z6btNAFRrmvj57W34BYQy84XpTO3dG29Pf07dv8nckZO5kn6dYA8Puzdk5NCpdHS08M3hn3n56bXExg7g1U9WYzSbuX37TxbNGMe41Jl2L4Onvycn9u/hxv3zGGy0pYeFxcwfMYyMsjLSMvNoa2pn46oFAPxZUU51czOuKhU9bQ7Zzu5uFHI5D0tLifDxQe3oSEFNDTLp/75OOkiFE3PfwbNcOXKOKctm4urtysT+fVArlXR0/28itaajk5/2HKf3sJ58++rXnDm3k/TSUqYMTGX3RcHxOyYpyW5H337kDCoXR4YkJ6DV65k+bDzz17xIzu0sXv18Ha06Lb1CBE7HX587fy8/buVm0dTRwa2rD+kzJIneYWF4OTtzOTeX4pIqBiULyLpYPz8u5eQQF+CPTCLlUWUlE5OT/3VwbP8+/n38+/jnOf4pKoWYhATrtCfXcHjndp54egnNtc28/LYQDrrjhyN8/PYaZk5/niPHvuFecTHuKhVavd7udOw2GhkcKzQaHxYX8u2X+3hy+RM4yuU8OW4OTz+3lqqCKk4c3sHPZ4+x78tDRPYSkNfLFz5BuUbD4T1nWPnsbK4/fMSw3kmsmLeO937YTKWmiS0rXmbxK+sBGDW8H68s28SGLzYQ5+/P7gNnuHn8Cp2drchkDrz57Zv4urpy4tQ15kwbDQhKxtzKKgxdBhIiQwnx8MBssbDrwBmmTB6Gl7MzSrmcy7lC6Rrq6ckLCzZw/tJ+LubkMKFnT77ee5SJowfj7uSEm6MjgwZMsmPRL949R11bOyEeHhy/cY9pqYPsjcbj524yduQAEgMDybHpFILc3Xn7vR+YtmAcIpEIB5kMo8nE0T1n8Qr0YvKkFC7dSGftXEErsvmLncT0i6ahopExI/qzf/cpxkwfhreLC0cOX2DpQqGhevL6PQCeHJuKVCJBIhah6ehEq9fTotUiFYtp7+7GarViMpuJ8Rew7H/1Xs4dusLSlTMobWzkrcUbuJd2jnvFxTR1dtI3LOz/SA1r6uzkk893MXzaUJ5MGUFzq4b82loGRMfRoW0XksdtqtiewSGs2/glI6ancO34LSJ7RTJ+cB8sVjh3O52cWzk0VTcx/+W5dhHRj5/s4/ypPURG9ubMxX3cKixkYGQkrVotnfpuDh48T1NtMyufFxrQXXo9Mf7+KGUyLuXkoJDJWDNrGRdunaJVp2Xl3BdY8d7zOCiFymJ8z55IxGJ+OXEek9FMYo8oHOVymjo7aWho5uT3JwhLCufCMcHyfPj8AZq1Wkrq6ukXGcGP24+wcMkTyCUSKpubuX7uHpvWLWL2TKFP8+3PbzN19Dw2/O0dxvZIEiT/Uum/Tk9B6eBA7MA4XuvzKSk9hZn/7UdCjLurtyuVzc2seHcZJQ0NKGUyonx90ZtMFNfXcyczl6bqJmbMfgGArV/tZ/7K6birVKgdHXn1bx+Rfy+fmSumENYjDIvVyvC5qbQ3C/txvclERlYBM+aPJ8TTk8HJ8YR4evLRT1voFRJCUlAQkp+/ICko0P581378Ar1CQwXAS2wQCfXJtGnaWPbik7irBHl1W2O7PbsiKSiICB8fu9TYRang4I07DBvZFy9nZ1p1OtxUKib8B8jKwtdWoDMY6BEUREZZGZ6BXsilUu4XFwvqvIBo1n/1FgA3cvNJiY/F09mZ+OhQVA4OOEilgjKyTyyxfn5UNjURZev2n8zIYMr8sdy5kcEry5/kxxPnUDopmbt4Mgd/EaLUw2dOtPtJxk1N4fSxq6xaPpMQTy8apqXw1rI32PDNRpzcnHFWKOg2Gnln5bMALKwstJvSvF1cOHz3HhF+viSHhHC/pIRYPz8elJXZcy7cVSocZDJ2fLWZcbNHkBQYhELhhFavJykoiPXrPkWxdrq96eajVtPWpUPbpqVXSAhzF75EU2cn97PzmTnnBZo6O1ErlXawzbqNX/LV++u4fX4SG755C7WjI0dOX2PCqEF8sHYdAwdOYeqaqXzx0uf0GCycM5lp15m75HnaGtswWyz4qtXIJGKCPT15f+se/CL8qSqq5tyluwBoqhrZuGEJOdXVBHt60NjegZubL+mlpUxKTqa4OANHlZIEG4FbJhHTputi2sghzJu6nL4/f4iPWk2AmxsjZi6io6MJs3k6ISHCxe5GZjYx4cH8snk7009t5+G1u3z81mo+33UYRxdHfv7iI2bOGm33e2RXVaHRVDG2RxLppaV2z8U/cvxTLApSsZgpA/py9/FjDGYzVy/epyBNQI0teGkueqORYA9PDGYzgR4eGM0msioqiPDxITDYh4aKBiavmgzAZ2vfxifEh5eWz0EqlhAZ7E9USACRPj5IxGJCPT2J9PGxZw2cunqXI1v3Me3YNsQiEVG2fEOr1WoHsbipVPi7Co0ckUhEt8GIl7Mz5ZpGhibG4emhRiGTU9/WxsDISIEJMb6fvZP9oKyMARERNHZ04OHkJITGeLgSHxCAi1IpJFt3d1FQK1wxB0ZG0js+irLGRnqFhlLZ3Ey/mEiCPTyobm6mob2dWetn2fsioT7eBLi5U67RkBgYiMlsJqOsjDBvLw5+/weqFxzoNhoJsqVcKeVyYv38aOuto1yjITTUn1AvLwLd3WmbIzTIWrVae0x7z5AQGkb1JsDNnermZvqFh+Pq6s3AyEgSAwWpue4/9GlMZrO9UlErlbg5CzwDk0XIc3RVqYjw9ibQ9kHV2iqAhISh+KrV+Lu5MX/Dctq7ugj18qLvuD44KRQYbTLtps5OzBYL05dOIsDdnUlLJtDY0UH/xFhUK51o7uyks7vbPq0YMT2F2+cnkZZ2hpTYfbgoFBz8/g9Wz5uK1Wpl2gvTGRgdxfJbR6ioEKq1BS+8QP9hyZgtFjq7uwnx9ESr16M3muho7mDJU5MJCva1f0be3LqTF9YI48AQT2Hs/NRLS5GKxRhNJmY/s5YxSUls2/cHAFMmDBUyUtP/xNMzkGAPD3zVakQiEVptG6PGzGfMM2PsExSD3oiHkxNGo4GcqmqGTh5Bi1ZL+rl0Nn32HPtDEjGYTMxduxgQxFdzl61BLpWS++gx7gN7/sPn4z9FT0Gn1zNtwiL+9tq33EjLIr5/LFOfncLUZ6eQEBCAn6srRw5fIMjdnaqmJr4/dIqBkZHcLCggKTCIpU9PIe1sGmln07h25wT9hyVT3NCIwWzm2qU07t/Ppkyj4czBy4R4etqnC2FeXkTHhnLg+Ha2/3KM2lYBnlHT2oLZYkFnMPDT8XNk3s8lPjKJ+MgkruXnc/yPqyxctJGTV++y4+djhHh6sefLg0glYj7fdZjKpiYKMx9z4l46J+6lYzSZaO/qoqZFgMRYLBb6R4Tz5bbf+O3WbdRKJdt2/W5P/T2Vmcmvu08R4+/PsJRZSCUS3FQqJk1Yit5kQiaV0trQxp3jd7hz/A5hXl7k1dTYTV5mi4WLJ2/x/Q+HWbp+HmpHJT2Dg7men8/1/HyGREezbccRIn18qGxqQiwWU67RYLFaqays42haGi06HQazGYPZjEQsFshUNideUkxv5m54mnUrPyC112BmzViP0WziTnYad7LTePOtbwU0f14h8598HblUcF6OSp2Di1JJbHQf9CYjCxe8ycIFb9qnB1/s+Ry1o5KalhYu7LnA7cIi0ksEuGmkj4/9PcsqK8dBJmX93JWEhiRw6MsjqJVKvt6ykzvH73ArK5fLaZn0DAqiZ1AQ147fYsM3b1HT0oyfqyv+PkF8+fkGli55h/ScNL556UN6hEVR16xh/7lD7D93iLw7eWxZ8y4vzVvJT/tOoOno4JMv97B+3ae8vG4+8aFRvPL0Gk4fuMTpA5e4e+8kP+z6XUDjtbWRMnAKV3+9woj4OKZNWUVIQgg9YvuyeM5EFs+ZSHpBMQ5SGaFBfvy0dwtqR0duFxXR3tVFbnE2T26Yw54Pf+Tnzdv4efM2BifFEe7tzZnzu/j1l5P4hvux+KnX2bNnCy8vf4+dR75DLBJx7fA1rh2+RqtOh1+EHz3i+rF27lT7lOQfOf4pFgWz1Yqjo5qEAT1x93MnzMvL7iNXyGQ4SKX4RfjbZcAWkwWtXo9CJhNCM3RawpLCCEsKw1Eux9/Nzb5CB8UGoXB0sFF8QjHZMNpyqQS5VEJdY7OQixjkJcSJSSQo5Q52A4mLh7BFUKnUqFRqrFYrgVEBdLZ1UvqoDFcvVzydnPAL8yXE0wttu5ZuoxFnNycsZgsWs4VqG+C0s1tIVy7TaGjvEswuMrkMvclEYVqBYAHu7sbN0ZGAqACsViutrQ0UlFchk0goKcmiuKSKjq4uPAI8iO0fQ2z/GLoMBtq7ulDKHZBKJJQ1NuLo7Iimpgl3lYqObj31bW0C8FUup72rC+9gb3QGAy5KJVU1DXYgrNRBhpNCgd5oxGQ2CxFvUikmG/PQSaHA1dUbq9VKSXEWJpOB0tIsdHqD/fFL84qpbmqmqVpDXV0pmvYOxGIxBr3Qrddq2wQid14aBXlpqB0dUcjluCgVKOUCfcs31I+CtALBEKdpt09mACrzK2nRChF07e0aovpE0anvprSwkNCkUIozizEaTIhEIkQiEZG9hOrNRaFArfaivb2Jpo4OCnLTkUkkSCQyIYhFobB/7hydlUTGJeHtHULN4xrcVCpqHteg69DR3KnFYjEjlcqpyq+kKr8Sg8lEY1UjrTod7ioVFZW5+EcGYLFCR0cL7n7uNDVVozca0dsEd7WtrYhFIixWgTr2F3FJLpXi4eSEWCzFLyAMvwCBPiWVSNCbTChUCpzdnbFazbTodFRXF9qTql3cXHBxc6GltR3PQE8kEoG49RcA9h85/ikajfFJSdaMhw8xWcwoZHJ2X77GsB7CXmrn7uMkDElgVv/+/PHgARlX/yQgOoBubTdKJyXzRg8jPrIHVx8K8s5zN9KQYtOjHAAAIABJREFUOcgwdBmYOTbFNt8WyluzxcLDsjKq6hopeiDsvbStWpROCt55ZRmFdXV2HmJpYyOjEhJo1WqxWK32LMKvvvuVzRuWcq+4GKPZjI/ahat3M1k8ZQznH2UT7etLuLc3jyor2b/zBADLVs1EpzeQW1bJ8B4JKORy5BIJWr2eoxdusmLGBG4WFtrFSK1aLfEBAUjEYnKrq2ns6ODutQySByfQ1qnjqaFDuFVYSLBtO+Dn6kp1SzMBbu7sunCFyYP6oVYq2X70DLoOHSuenEK30Whv6CUGBqJycKBZq8VHreanUxdYNXU8pzMzGRwdzcXsbMwWC7MHCLqJI/fv0y88HG8XFyRiMXqTiT8rKnBRKglwc+PPigp6h4by0oufATBnzXQ8nZwwWiwYTSZeWfQyF64eorKpCV+1mprWFnZ8f4TpTwsj0viAAEH88+53LF81Cx+1ms7uborq6wlyd8dBJqXLYERnYwu0d3Xh6+pqfyxPZxd2Hz3HpDGDUcgFuGmvkBC7B6JT382R09fIv1/Al59voKmjg3AfX67m5vDFa9v4cfd7uKpUPPXUa0yxbUP7x0QR7OGBFSv3HhcT7edHQW0tPmoXhib24XFlsYA5s40MU3sP5cCVU+z97ihvv7OKhvZ2expVXWsruVXV9IsI58Xl7wKw/9AXSMVibhQUsGn5m5y9/BuPKitJDglh3sx1DJ4ylCXzJtsXwwHJw0jPuknfHkPJyL5NRlkZgR4eJASF8mdZMZte/Iq4QXE886Rge18w/VnWfLqBlJgYtm4/RFVBFXt/ef9fR9EYGR9vXbJuI6NG9qfBBtX4S9evkMlQyOVczM5mVEICpY2NpJeUoFI4EOzhSatWi1QisXemo3x9ya+pwcPZmW6DgYb2dlp1Otp0OsK8vPB1dbXHgQHsOHqGaWOGkF1Vxcj4eJRyB7oMehrbO3hUVSkkQzk6smvH7wDMWjABrV7Pyf0XeHD9Js999jIz+vXjSm4uET4+HDt7nUEDe9Cm09l5BFeO3WD5qlk8LCmlb0Q4e/aeYvTkIQJ7UK0m2MODEQPGsuSVlwB4YuIwqlta8HNVs37xRiIS4vj843VEhMQxbd5KRswbTp+wMPsevlWrtbMjgz082PTpDoaM78+ZPRdY+9J8Lt1+gFQuY4KtiVZYV4feZEQhk6NycODsieuMmjCYgZGR3C4qwsvFmcb2DnvJOa5HD67k5jIsNpa8mhp+3Xeanqk9WDtlFklJwykqSuPXSyfsKtRJo59k0RtraKpu4vLhsyx8cxnTBvXn+bUfsf2Htxg/ZgG7Dn9LlL/QdGvtbEOnN6A3mezJTZf/fMQX6zdz6Ox+3n19Kz/veMf+nq1f9ykzn53K3k8PUFyUxdbf/oZELGbe2Nn8cfUPXlj0BovfWcmUPr0BwevRbTAQ5uXF0iXvUJCbzle//o3h8Qk0tLWy8a2tqD1dePvlpfbF/8u9R4mIDyXnfj65d3L57oeNLHrqdaJ6RzN17mg2rXqXoPAISgoEbP6Og3/j6093M3LeCCE7MiCMH84eZ2xSEmtWbeG1D55lasoE9pwTGEQtWi1lj6twcnNiTO+eeDo7o+nowGQxo1Y6otXr+fDDn+g1UmBsRIQE0Dc8nMaODu4VPSbaz5dDv51j2pwxzB83i1sPr1FYW8v9+9kAePh7MCAums/e3UFSag9Co4OY0a/fv86i0LdvX+uB06epbm4m2s+Pi1mP6GwRVuDy3HJmzR2Lg0yKtltPQ0c7YxOF6HSJWMy9osf88e0fJI8QGikZFzOY+twTxAT40yM4mJuFhVTVNdI7OoLc6mrcVCoqq+upKxGumsFxQdw9cZc331qBi1JprxQeVVYyKCoKk9nMrcJCBtuUaLeLinB3ciIpKIjmzk7KGhs59Ns5QuJDiI0KYWhMDA3t7Zy9/5D4CIEBEOTubs9UcJTLEYlEHE1LY2hMjBCNbiMC/6XK9HJ25n5JCRHe3vi6unI6M5Py0hpmjBzC2fQMJvfvw5ZPfmbSvNH2v2FqbCwms5nrBQWMiIujo7sbi9XC3hOXmDdxhJCQbatErublkRwczOlbaSybPJav9x5jxDAB334/M495Y1MRi0T2ReFxfT3pD3JZNmMCCpmMzu5uVq94n/e+WEdzZyfRfn606rTEBYYCUFJXTZlGCJgN8fRk6+6jTJqQQkJgIIW1tcT6+7Pr0lWmDRLEV3/JqXtFJ3Ep4y6RPj68+8lPrFo1m2APD344dppBfRLt48IWrRa9yURpXT3zhgxm2+FTPDFqMJqODs5fvMuk8UMJ9vAgy0bvyiko5YO167BaraTnpCGTSFi2YCM79ryPt9qVrw8cY2LqQFJ7pzBy3FwAnNyc6De+HyajieG9klA5OGA0m/Fydmbe7A18+N2r3MsrJMhP+Ju+tex1fj3xEzUtrUTYpjyffbWH0dOHMSIujrGj57P36HecvSdAVmalDkEiFvOospJ5o57g7J0L+Lm6IpVI8FS7ERqaxIo3X8FoED4TDRUNPL14ClOHjiW/+BGvb/qWLz9cz/Qn1vL2Ny8zptcArj16wJ6dguEqIjmCY1sPcO78L3x76AR9kmMZGhPzP5YQ9fdi494BlgONtru9YbVaT9t+9jqwFDADz1ut1nP/1ZOISkiwhgX0J6ZXIqPmDCfKx8duVfZTu9IzJISv9x7luaem0aLTcdXGDPgjLR0PF2ei/fzYuP5LAF58bzneLi64qlRUNzdz6sJtijOLGfP0KG4ev82atfPoMhrt8ex/deS3Hz7Fuqem0200oJDJySwvt6dQl5ZWc/v32wC8ueVZTl68TVNNE2OnpvDH/vOkThvKtje28v62jVy4cAf/yAAu7LrA8tfnAxDj54fOYEBnMNjJTh1dXVy/9oAJYwcjFovJq662+zcMJhNbtx3k47dWs/K5D9jw5hJUDg589bf9zFswEaVczvbvDhFkM3XF94zCYDYzKTkZrV5PSUMDXQYDta2tDI+Lw0EmQy6R2E+++vY2Tpy5SUCkP2N69SS/poaHD/OYO3EEX3y1l2dXz8FssdihLB7Ozhy+cJ3Rg/vgo1bz9OwXEYvFdHV1kpV1jRc/+JhXl83j4x2/ARCWGMqU3r3Q6Q2cuJdOQlgwEbbQ2ZGDevPzjmO8vH4h72/5EYBFq2bg5eLCN9/+ypgZqfi7uTFp8Fh2nT2Mp4sLU1Mm8POpA3bZeIAtL9HJ0YlnVrxFTWklb3z5Iq8ueR2/gHBe+2g1/m5u9uf/4Yc/UV9ax7QXpvPNSx8ikcg4fm43b236joQh8Tw/ZxoDB07l7R/exWBbmBeOHE98/BAKC+9zLu0mepMJoy1bM8LHhxF9h1NXV0LfvhMAOHl+D5XNzWSVlRMT4M+ryzZRUZHL+TvnuPIwi4Nf7KOhoZwHDwXmRG1rK3Wtrfi7uXHn8WPi/P2pbmkh1NOTqxmPSDuTxs5tm/HxES4sV9Kv46xUUlhbi0gk4vNXv2Peq/MY16MHQ/uPY9HLLxAUE8jKcVOE55N2i082/I2EwYmsW/0k94uLeaJPn/8xReMvwPi/c/uXVqs12fb114IQD8wDEmz/57u/6M7/2SGXSNDp2rly6ndy0vK4ci+TRk0rjZpWnJVK2nQ6ynKEdOi61laa61tQOTjgqFSQHBKCh5OTvakU7u3N5cxHVDQ1Ee7tTXluub3RVF9aT7i3N2IROMhkOMhk9tThyvxKShsbMZjMlDQ0kFdVjVgkJjujgIK0Aq5cOMiVCwcp02goySqhtb6FurY2RCIR7ioVjo4uZOY9xtXbjT4xkcQOiKW2pZXallbKm5rs25twb29ibUGmjZWN5FRWEePrS3tzO0V1dRTV1ZFWUkJDRQNtOh31FXVIJQJjsrmmCZlUKjSi/D24dvgK1w5foXdYGLF+fhTV1dFlMJAQEMDp36/xOKuEm4WFwusym8msqCCzooJwL29qHtfQOyqctJISVA4O9OoVi9VqJapPFJnl5UhsDse/9swJ8REU1tWRUVZGdvYNZr84l6RBfXBxcae6qJr6tjamTkhh6oQUCh8UUVRXz73iYtLPpSMSiVDKZZz++SRqR0dunT1Pq1aLQqVAoRLCWp0VCibOHilgyUUQHd0XB5mMls5O5ixdTbSfnx3mW6HRUNPSQmJCCg/vXEen6yDK14eUyWOxWoR49wsZf9qhqk3VTUxdM5WB0VFkZ9+gvr4UV5UKtacLE1MHMnDgVO7e/YPEwEA7AHjMuGdoaqrGycmNuxm5OMrl3L+XzenfLuKrdsFkMhAfP5hJC2cyaeFMnBQKrt/LJNTHGweZDJXKhYiIZHzVLlzYdYHBk1ORyRTUtLRQ09LCzYICIn19uV9SwpDoaCEp2ygkk08Y0Ieh04cwbNgcvL1D8fYORW7zQfQJC+X4gYsMm53KiW0ncFEq6T9kDONGDaRHcDCDh8xg8BAhQKbPmL6c2LMHX7WaEFs26z9y/LcSomyVQqfVav3s/3G/1wGsVuuHtu/PAe9YrdY7/9nj9+nb13r15k2u5eXh7+bGgb2naaoVhCfTlk0SPPZmMxKxCFdHgcb8Z0UFSUGBZFdWce7YNfqNFRbAj1ZvYsTUKby5YTHOCoU9G9HbxYX82lrCvb3pNhjsZqJrl9I4ufsAf5zfh4eTkz1O7FJODmOTkjCZzZzJyiLVlm1pNJuo0DTRIziY/Npa3FUq0ktL8XZxoaiymgUjUmnT6XhYVkZ8gEB3yq6qIjU2VtAEeHnRbTRy9/Fj+oWH4yCV0m000qbTkWcLYx2dmMijykqsVis9goO5kZ+Pp4sLUT4+3CwsJMDNjcyycox6wTuQEBpMr9BQyjQa1EolcqmUzPJy1I6ObHnlW1a99Qxmq5WR8YIu/nJuLgkBAWSWlwtEppoaeoWEoHJwILuqiiHR0dS0tNgZFVG+vtwqLGRMYqI9r2Hl8nf55rvXMZhMqB2VtOm66JcobAce5KZTodGgkMsJcnfnXFYWAyMj8XAWCNleLi4U2t4LwL5NmTZxCd/t+5xoPz/2XL7G4IRYov382HfjJjEB/vZKwWhjXpgtFvqEhXHmzz/xc3XFVaUis7ycMC8v3FUq+3tc19bGFy99zq1bR6hr1uCkUPDUU6+xa/f7REf0YMfpQyQGBhLs6UVsrNBcXfHWK/RKjkEsFuPn6oqPWi0sZDIZb7/7PVs2rxHGwLaKc/6EeZy/dRpNR4fdQ7Pv6g2C/LwZEBHB+5/tZPOry9j0kVAdLV02HbWjIwfOXOXS/vNs3/MB7ioVYrGYQP8Ixk95hqkrJ9uzQKpKaxif0p8F01aw9devuXQ1jUUzxzF/1np+3P8JT09byee/fMyf+cUAhIb4c/PCfV5e/TR/232UlNQ+DIuN/b/ufVgrEomyRCLRzyKRyM12WwBQ+R/uU2W77T89rFYr3QYDVZX1FNTWYtAbOfP7Ls78vosxiYlYrVYqmjSYLVb8XF1xUSqxWK32RtlTCycT4O5OgLs7FrMZq9WKTCK26wI8nJxQOTjYg0+i/fwYHB3N4OhogmKDUCoFKGd+bS0A+bW1OCkUWKxWcqqr0XZ1U9LQQElDA24qJ6psKVbOCgfadDqGx8XhrlIhVzpgtlho1WkRISjv/kqk0hkMOCuVNLYLEty/MPMWq4VyjQa1oyOtOh2tOh0FtTW0aLXkVlZhNJkI9vQkMTAQiVhMUlAQ19Kz6BcRjqamCU1NE0aLhTadjrTiYtSOjrR3dXHq8GV7dVLX2ka30UBpYyOljY1IxWLKNBoCPTxILy1laHQ0ehspO8Dd3c50PH/uDufP3cFFqbRne959/Jjq5mZaNBoMJhOazk7EIjGazk769ZtIv34TkUskKGyhJVq9nqm9eyOVSISwGamUco2GWH9/5LaqRyoRxsOp08Zhtl2k3N0FEZPeaKRd00630Uh1SzPVLc2oHR2RSgSWZ01LC84KBQabYMrXZn++mV+AzGZoUjs60mNwX4KC4iiqq6OutZUpqybjIJMxctxcDCYTudXVxMYOID//Hvn593B0Vtq3DBKxEDcvEonIq6lh3rKpQpqUwUB9exv17W2Mnjrb3iiViiV0GY14eggBRCUNDcQPjqdVpyMiOYKI5AiuP3zEo8pKDN0Gpj8/yz5lEItEpI6Yw9AZQzCaTCjlcpRyObPGDEMmkTDnuUWcOXMLZ3dn7hUXM3nZNDq6u5i4cCZSicRefaXGxpI0JJH0khJiekUR6O72/z7x/j+O/+6isA2IAJIRouI+t90u+jv3/buliEgkWiESidJFIlG6prHx793l38e/j38f/z8c/xMBs/af/Xe3D7GJidY+vafiE+rL+Nkj8HV1tVNzZFIpE3v25PvDp1g2QxgHljc2khwSwsnMTLS6LmIDA3jnuU8AmPfyUwyOj8XDyYmalhZOnL1J7p1cJiybwO3fb7P42ZloOjrsK3NqXBzF9fVcvJfBiinjaO7sxN3JiXvFxUT7+lJcX096VgGNVcLCtejJSRy7cBNHZ0fGD+rD1m0HCY4L4tDf9vLhjvfJyivGwdGBMzvO8OYnawEhx6G+vQ2xSACYOsrl5FZXU/a4iknDB9JmE6aE2vZ9BpOJT7/ew/uvr+SrPUeZPWk4bV1d3MvKo09CNE4KBW+t/5IBk4VS1y/MDy+1C6MSEqhpaaHLYMBitWK2WHBRKvFRqwUhkq3x9qiykntp2cjkUuZPHMWdoiKyMwqZOHoQX374C+9/8Bx6o9HedDNbLBw8epEZ00YQ7uXNS699ScadWyT2GUDG3Rts/GELk5KTWbp8MwCvvreCCG8fxCIRjyqFwtFJoaC6pQWlXE5OUSlj+vXi94u3AOjdKxZ3JxUblm1m2bsriPTxYVTvQdzOfoDVamX6qJl8uPdbO1S1d2gocqmEyNAEXv7sU07+dJQvf/mALa98S1tLE78c+BxXR0cKbbqMzzfvIDPtOjOXLybvTh6OzkpeeXs5Jy/epiSrhP07PmPMuGcYMm0Ijs7CJGjllAkMGTKdsrJsMnLTyKupIczLC5PFTFNHJxuWvEle3h369xd0DZv/toFQT09uFxWhdnTktx3HObLnO47fuojVamX+hHn07juK/fs+BAR4UEWTBl+1Kz8fPkNqSm+6jUY8nZ35eccx0q/cIiPjAiqVQJs6d/8qEpGIGw+zGT2gF8/MeJZtv32NUibj+cWb8AsNZMaKKcwYIIBu7hbms/iJxTz38ZuM69eL0sZGUuPi/u9tH0Qikd9/+HY6kG3793FgnkgkchCJRGEIsXH3/8snIRbT3tLO/u1fcvH3G/y67zT+bm74u7nRrGlFLpVy+ddLguCms5O2ri60ej0uSiU9w0Lxd3MjPf0s6eln6RsdyYFjQgy4u5MTv+/Yj4e/B8UZxZw+vAc3lSM5jx7bm4DNnZ3oTUYeXngo0HKbmmjs6ODgrlNUNTfzMKeIg1/vIe9OHnl38mjr6uLC3rPou/R0GQxo27VU5FWiaaxi77ajOLk5kRAWjG+or129VtLYQEe3nnKNRlArurmRFBRI6aNS6tvaCPPywkEqJb2khPSSEgpqa7l19hIWiwWjwYi3iwu1ra0oVAp81GoBodZQw86PvmLnR1+RHBqCj1pNXWsrFU1NQu5mS4swonuQSWFtLXKp1L59iPXzI+tqFhFRwaSVlODl7Ex4QijphY/xCvKivLGRgtpaQSDk6kpOdTUBUQFcvfcnudXVFOcUsGTjWgZM6o+Hh79d0DRsdgrDZqegN5owms10dHej6ezEVaXCbLHwuKQKk9lMY5WG9u5ugiIDCIoMQKvX097VTZ+RA/B3c6OquRm5XDBTlTQ08OSaZ4ny8SEhMJCEwEBEIhFGs4WoqD60N7Vz9+5xwr29GfPMGB48OIuDVEqLVouDVIqDVMr5U3sYMfkJ+g9LpqqiCIvFSrCHBxHxofQb34/4+CFkZV6jV3IMoSH+hIb4M2TIdG7dOoper6O9u5tWnY72ri5KGhoJ9vRAJpMTFpbEjBdmMuOFmXi7uAgpZgEBtGi1+Ef6Y7UK292i2jp8fcPwDvYmr6aavJpqdAYD8QGBnMnIJCQuGINZUCfWt7XRb1xfwqJj6dt3At3dWrq7BcanFSsJMWGUNjYS36sP2RWV+Lq6kjJ9OAlDEugTFkZs7EBiYwfipnJEpXLlccZjPJ2d/w/Q7395Pv4DC8Dfi437RCQSPRKJRFnACGA9gNVqzQEOArnAWWCN1Wo1/1e/w2q10txcQ3h4MoExgSSlJNl9AAF+XohEIoJjBYWag0yGpr0DdycnNB0dtGq1mC0WAgOiCQyIxmq10nNAAioHYX8f31P44PiG+xIZ2QeZREpEbAhBnh4EeXogEYvxVbvi6u2Ks0LYU6scHOiR2gNPZ2eUTkp6DupPR1srHW1C4y00PoKGigbau7owdBkIig1ELJHSa3QvGisbqWtro7Wx1S5bdlYocVYI8l2TxYzeZKJN14VUJsVsESTbVc3N9pNQ5eCAr28oUomEqsIqQcfu6kpZTjmtOi1avR5XV2+Seg4lqedQWrRa2nQ6nBQK/F1d7fCSxo4OekaG4eHsjMVqtcuQ27p0qL1caNXp8HZxEUJ765pJCA1G1y5ULb62QNRug4EoX1+6OrsIDPXDVaWira2RwgdFZFzOpKDgPmWPq1DIZHRru+nWdlPR1ITZYsFgMlFTr7Hb3NubhF5FQ3k9KgcH8h8UkP+gAJWDA66Ojhj1RrR6PW4qFV1dHUK/QKkk7dxdWnU6NB3taDra6ejqQiIWk5d3l8r8Svz8wtF0tPPw/AMCAqLtqL2/egqRkb3tbsfGxkqK83MEpP79fExGE4WF99HrdYjFYqS2r7KybDw9A9Foqmjp7EQpl6Pp6KCjuxuzxcrjxxkUFqbz4PwDHpx/ILy+ri7KGxtxcnAg+3o2JpMBg9lMR3MHVquFR/fSCfbwJNhDqAjbu7qICwxAKpHY6eLuTk6YTGbEYhF5eXfsi0K3wYBS7oBELMZqtdKmaaOrswupWEz6WSG/uUyjobq6kOrqQpo7tchkDnQ0dyAWiajQ/OMBs/8U4qUeycnWDV9/Q/+oSAxmMyoHB1ptWm2RSEScv79dU55eWkpDezupsbE4K5XsPHMR/wBvhtpm/Fdyc4nxExDviYGB6E0mbhYU0CM4GHeVgGX7j2iyb7b8QsrMoUwY2BeT7Xdr9Xohbr6hwW4G2vLZTgAmzhpBfGAgOw+e5tqRSxz6/Vsa2ttpaG+nR1AgtwqLCLE5Mf8Cse7fdZKP3lpNsQ2Vfi0/n8fFlcwaOYSallYC3d0ZnfIECzYIeLJJIwfho1Zzr7iYP3aepuDPbD77+X2enbsWhULF/FeXkhAVRqSP0L2/V1xMv/AIKmwNy3KNhtMHLtHe2Mai/8XeewY3ebVtu4dlyXJvcm+4994AY3ovprfQOyQkEBJKCKGkAUkIgUACBAihQyD0EnrvYAMGG3fj3otk2ZYlS/vHLfR+3+z9vvuZ2d+eeTLzrBl+YBvh29Za67rO6yyLxvH48SvqK+oNyU9X7jxl3MAeHL14k4S4UL5bvIUVGxcS4enJ+efPCXZzxd3Onj2nBIrJtGH9OHz5FuEhvlhIpdy6n8bHE0bw497jWNlb8cOiz0jqlsL6jYKWP9Q7AGtrB5qa6hGJjNl69i/KC8r547uf2Xj4F1bMWMaGfT+y8bNtAHy7dQlva2qI8PSkvrkZVxsbNFotH836msNHv6ewupp6PSUbID4kBi+vUNb9sYFv5n/NifO7sTI15ej9BwxNiCcqJIGIiG4kDhBK6UWzxhrUjrsPnqUst4xxc4aya/1BvvxhAfKWFh6mZdC/SzzGIgEWs5SaIm9tpb6piQQ/f8rq6+jg5IK7eyC/nNzHq7RsOnaKMLyHxcbG9I6IpqqhFqVKxZrV2/jyqw/YdfAsu3/4nmfp9/l2wx5DFsjGr38nZfZgamsaCPIRgo76R0aSX1VFu1bQQjQ0Kw3OTm/KyslIzyU+LpS9m/5k57aVJMQP4KeDm8kuLCEpIoQAFxfDxOVlcTHxPj5MHvspK39eQoibG/aWlv8cRmNMbKxu86FD6HQ6nqVmMm1YP4OBirylhWuvX5P3Mp/w+GB8nRx5nJmDt5szy6YtYeOBn/CwtzMEqejQ0SMklFL9zXvmyVPcHWQ8uvcCFx8XuoSHGCTNIFQpKo2G737Yw/S5owh2deVNeTlO1tak9BnPwPfG0LVfokFnUCWX8/RZBim9k7CzsGDmpBVs3rWSnMpKQtzcUKpUqNs1LJ71JUNmCeYjCdEhxPv6AqBobWXLnr/o3juBP346StKILvSMjURmacmzggIACorLKc0pJaZLBN2Cgymrr8fD3l64ZeVyssvLhapD70fQ1t5OgIsLNzMySImNYfPeE3w8dZQw8TA15WxaGhZSqYExaW9hwfE/LjB+Zgpp6dlM6N+DzLIy4ry9eZiby9uKKib16GYIj/HXR5mt+2QzQz8YRmywPxZSqeF2DHJ1Ze22g0x/T7Cfk1lacvrZMzxlMhJ8fXlTXs704bN48Og8bi4dKKt4S1l9PY7Wgj+CzNoee5kbVx7fZFiPoZSX53H07k28HR0Y0XMEJ2+cZMGU5cR0048L547m7JV79OwaR7iHB5fS0ynILmZwz05klpUS5+1DTVMTC6d8BsCyzcsMs/oahQI7/eVgaWpKs0pFYU0N5iYm+Dk7Y6wfAT4tKKChuRkzExPCPTxwt5dRq5BjZGREg1KJur2deqXS8D71cXSkRqFg46YDbF2/lOrGeu5kveHY1lPs3L6Sh7m5Bqk8QE5lBY8zc+gZHY6ZiZTIgEiMjcWoVM1kFLyhtE7IoHgXde8pkzF9+Cwu3/oLMxMJH338PVs3LTPkourQsWXLEYaME1K63rFn4319uJ+Ty53Lj/j601n/nEMhMjpat2D9BhLDgtDpdFhIhVEfCCdi87wcAAAgAElEQVRwgLMztU1NyCwteVpQQHlDA33Dw7GQSjl06y4OMhuSA4VK4Ul+Ph729jTrDTqUKhVPCwoMuv92rRaVRmMw4Pj52z/oPq47PaPDMcIIS1NTmlpbcbW1payhnhZ9T7/qS+FWGzplAOEeHuw6cIb7525x5MQWFK2tlNbXE+Hpyc3MDELdBX384zxhZnzy8GXWrphnCJ29m53N25IK+ifEUFJfT7CrK8mJ/Zn5uXDT9u+eiLONDS+Litj7059UlpSyfsdKpqRMxcHBg/eWTCUywMeQ45BVXk6ou7vB2KSwpoazBy5TW17L3OWTeZaaibxWzqgRvQC4l5bBoKR4zt97QlSoPxuWbePzDR8S4enJhRcvDOnU+88K7Ltpw/px/PZ9wgN8MDE25uLFeyyb+x5f/7wXKzsrNq34nIHDp7Ju3QIAvJzdcXcPoLGxhtbWJn45d4oWeQsbPlnBgYtHmDFsGr8e38m3CwV36Z2HvudtTQ0BLi40t7Uhs7SksbmZRXPWcuz4Bl6VlCAWiZDpTVZigmMJCIjjox8+Zf0Hqzh37Sj2FhbsvXSd0T26EBeRRHh4Mj31NPAZIwYgMRahVKn4/qf9lOWWMfOziWxZ8Rubd62ksLqax49eMT6ll0FPotPpDHbufaNiqKyvRWZljbt7IDvOHubh9WfEdo828Agcra3pGR5FSXUFxiIRH77/Let/+pTjl26zYclSXmU/Z9nyzXy4RPCN3PTN7wydM4Sa6nrC/L3RarV0DgigoqGBNo0GUxMTCqqrDRT4vKpKykurCQ/yZfv6/ezb/RUREd3Z+ud20p5nMbhnJ7xkMkr0FXB6cTHdgoIYMXgm63d/i7+TE042Nv8cj0axsTFqlZqMkhIspFIhAPTRS+4+eolKrSa3qgqNtp2cykqq5HIDsKXSaOgcGoSNmbmhf7e3sMDMRCJEyonFqDQaXGxtsbOwoKm1lbL6ehQtLQbasU+kDx4ujqjUGkPKU5VcuBHsLCxpam2lTaOhOKuQ4qxCahrlaNrbMTU3pdOAZJrb2lDrA2MBnK1thPK3vR25Pu+g44AEjEUi3OzskOoZc0kRgj6hsrERazMzOvcYQEJ8GAnxYdQoFLToe3kzSzN6jetHY3MzLi6+JKf04vW915hJpQbgMErfGtmYm1MllyMVi7lx/jQyV8HQpGNCOD36JFLZKKeyUU5yTBitajUJEUFYm5oS0zuGDg4OyFta8HVyMnxPj88/5vH5x9QplcQE+dGsl6vXltdSLZfj4O5Am6oNL68wGirrDQxCP79o3Nz8kclcsbCwwcxUithETFVlIVKJhJYWBXVKJYHRoQRGhyIxNkZsbIy9hQVWpkLf3KpW02N8D7Q6HWqNBntLS2zMzLAxMyMhYRC2ts6oNe2o1SrqmpoEybu1wNHo1nsEr17dxdZJwIoalEpBVi4yprq4GnWbGmcbawJiA3G0shIuiRwBF3nHR9Fo26lobKS+uRl390Ahedw9kJKSLOwsLWlVqlDrzXYlxsa42dpibe2ASM9nkLk5oNJo8ArwoKGhChOxMVIzKU7W1jhZW5P66BblJVWE+HrhaGWFVCw2vJ7MygorUyma9naaVSqaVSqkYglScymutjbcuX4KrU5HTs5TAYOyMcfR2hqRSGQAt41FRkjEYt6+fU2kp4ch/OhfWf8WlUJEVJTueVqagU34OD+fMD0bcOa0VXQe2pnZowax99wVbhy+yfilY9FotdSUVDO8Vxf8XN25lSEMQPLKK/B0kPHn7+f4ZMlUbMzMDIeIpr2di4+eUZFfwfPrzwFIHJyIlb0Vw7t35mZGJjWlNTi4O+Dt5Ei0lxfPi4oI0Id8AMybvoZ9B9dSWFODRqulVqHgwvEbfLJgIqV1dXjIZNiZm3PrzRt++2ovAFt3raS0rk7vJOSAk7U1NYomquVyDu45y6rPZpFZVkaEpycg2KX1CQszeBFmlZVx8KdjDJ4zGEWdglmD+3Lk/gODChAwgIs/bTnIF4tnoGlv5++XLzERixkYGUmdUsm5u8IgaHCXBIyMjKhTKvF2cGDz78f5bN4EDt68Q8+ocP48d4OOnSLo5C/4WG47fp7unaMJ8/CgRh+9ll5cjJlUSOx+l7K1avkWAEbMS8HewpI2jTCFmDloLC8yn5BfVYWvkxO5lZWs/GAtKzYvASDQ1RULqZSFi77n8zVzhfFlXZ0h3s/WQmCxqtuF9ie/qhoHKyvsLSyobGzE0tSU+6/fkBQWTFNrK/XNzfg7O2Fm8s5pWc6JUzdQ1ClY8vEk6pqUdAqN5uyjO/ywZCs/7VqJi401S1b8zPhZgi+luYkJXg4y2rU60vTs1IzSUuwsLekSGERRTbXgNamPoh89YDLr/tjA+cNXWfzpFKrkcnQ6Hb5OTmSWlZH2MouenWLYqxcsLV44EZmlFflVVQzqOoRHaTd5WlBAJ39/Jo79FP/oID6YPw6tfn8mBkdSUFpAZHAcqRmPeZibh7ejI/0Te3Dj2R0+nrGK/lMG07OL8J4Y338s879eQd8u8Zw4d5OSN8Vs++mzf077EBgWppNZBxASGUP3cd0J6eBpyGXwc3bGydqaTftP8PHkkeRWVnLxxkPmjRnM6aephHl6YG1myrbtgsHl6qUzyK2swsbMDKlEwuHz15HXyuneJ5HrFx+wdP5EgwQXILu8nHgfHzbvO8G8CUMN7cPbmho6ODhw+uETWpWtbPlMSEbecuw3nj3J4MnfT0gcmEBVUTVTpqew/osdzP9iGhdO36Jjr1juX35CSOcQALwcHfBzduZtTQ1udrY0q9owEYs5dOwSUUnhdPL356dfDjFsjFDu6nQ6Lp65zcqFU+mWPIJ1v39HdIcODBs4nY83LiXAxYVrd56ibBDA2KEp3alsbCTO2xupRExeVTV3n6VT/KaYWTNGoFKrsbe0NASXyCwt2XP4PN17J2Bjbk5BdTVyeRMjOnfkt+PniY0N0fsgCgKqKE9PLqWnE+7hgVanY2iPYUz5ZCEnd+4nPf0WfftOY9+RHwz2bXt3nGTq3BGU1Nfz19ZTvLdwFP0jIxkxfCF7D6+nd/Jw/vz7ALPGfQzAgRO/ILO05FJ6OgHOzliamjLrvU8ZMX8cyXERLJr2OTsObTBUY09y8+geGkJscDS2ts507ZXC/M+msHDyYhJ6diMwPhB3T2f6hgu0mnVbBU/FlK4dCfUOQKttp7C8mDFD57F1/3cMTOqHRtPG65wXBgB6/qQlSCQm5Oam8f6qLxgxsBv7D52nValiwfzxeMoccHT0JD5ekAWdO7+djfuO4+zjQuegQHrEdSMqqidH/trEnJlfEpgQyKZVS8grFXCj1MJC3OxsUbaqcLaxwd7SkrTCQsI8PGhsaeH2y9esfX8JMpkwSvzt2K+ChV5zM/vOXKG1qYXS7FK+W7uQ+Khu7L9wmBqFgq/mCTb7S7asJPNJFmf3HuHitSPcevPmX5ZO/1t4NOp0OkxMpIilEiwsBReeBj2mUKdU4mprazDMsLOwQOYqQ6sDTZuaKrkcazNTSnMFUKywusbgYlMll6NqVlFVVEWdUomiXmHw73unm383vxVLBMGJWk/3fec6ZG9nTVFDEwGBws/SycYanU6Hm78b/uG+FGeVUFxbR7WeIi02EVPXIKc0p5QegwT020MfOGIqkaBoFQ6keqUSY2NjXG1sqFUoCIwLNKDrWq2WliYhZs3HLxwXW1tUGg0RCfG42dlhbGRESXYJDu7CaKtaLkepUmEhldLW3o5WqyUooANmlmZYm5oi1t+0Wv2mkre0YGRkRGl9PT6OjtQqFBRmF6NoaaGyoBKnHgKg9y58pbmtjaryWtSurjhZW+Pi4sPLmy8xM7PCVGpBVLdYbMzNeZgm+BtG9ojEz9kZR2trigYmYGthIbRRgzpS2dhIbFJ3LKRSfIMEPUltUxMiIyPS7rzEuq+gn8jNTcOrgyB3LirKNLgUAcT4CKa59fUV9OozgarSClQaDe3t7ZTnlTNy0gA87e1RtAqHWm15HSU5pXh6ueDhEYRYbILIyAhPXz8eZWZTUZFPaGgSmWVlhpDczMwH+PhE0NhYTcdOEdQrlcR2j0at0aDT6XB09KSmpgS5XEi2bmlT0bFTJAUVlTQolXh4BJKXl0ZjczMdh3TkxpHrODl7GwhYAS7O1CubcbKxNmRotrW3o2ht4XFeHum30ykuyqC1VTj43yV2va2pISIqkD3rD9FrUi/DHnr2Kht7Zzvy8tIAcLC0JP1OOgndhRbsXaX7r6x/i0NBo9UyeNoo+vRMNPDsU7MFkK5HSAjNbW307B4vmHGam+Pr7sLByzfx8nLBzdYWkZGIucsnG17PSybDyMiI16WlDB3YlZfhxUiMjRk3bQhva2ro6OdnENdUNjYiEYvp1DkSY5EIjd6T0M/ZmacFBYS6uxPl5QX6Q0lmaUXvHgncMH5GRWk1YUmhJAcFUbdyBuEeHjywt8LE1AS/aL//CoBVKFBpNLS0tWEsEvHXnvMsWjyF6M5huNjaCr5+bytRhQubxFMmY8Donmja2/EI8qBeqSTYzY02lZo2tZrDp24yZcYwwyFSVl9PeV09Er2O4NcfD9J/cl/MLc1wtLamrF6wg3unhVC3t5PUPQYHa2vsLS2wNDXFxdsZE7GYHilJuNnZkVFayt27whvsw4nDiAsLIMjVlXatlpSZY7i0/yxZWY+JiOyOWqUmvbgYBzdhQiOvFUpnrU6LmaUpRkZGgi7A2wUzExO8QgQM5G1uLiCU6orWVkI7heCgnwxNeP8jnj94TdiYftTUlGBtZmZA4lvVajTadmJj++EV4kW3lM5kvS3h+fNrrN29lsrGRsH2P0Bof+YuGM+law8xEYvpN3IsJW+KqW1qIj/rNZNdxxIfP5DBU0YhFolQtgmHdmLiEEYuHMWzy4L/gaWpKSIjAYjWaNuJjx+AXF7DvXtC1qO8pRVjkQh5jRxzfykajZpJCz7C3sICO2dbBs0aTOW3hQbD4GcFhVzad4W1az/Cz9kZsUiEs40N8pZW3Gxt6ZLSmTsXe9BvjJCp+m5T21laUt7YQHCnYBwc7ahRyKmsLCQ82JfnL7Po1WeCYR8MeX8IjdWNXH6ZjkLvXv6vrH8LoPE/6z/rP+vfZ/1bYArhUVG6tNRUXpeUYGdhwU8/7Se2XxwArYoWOkaG4GhlRbVCQXFtLSqNhpK8MrokRuBsY8OU0QtYv1Pg3e/44SASUxPmfDyeQFdXMktLCXF3p1ahoLFFYIAV19VRUib0v1f3XaWi7C2Xr+6nXas10IT3/n2dqQN6YWZiwsUXL+joJ6QFP87PJ8DFhabWVrLLyxkQFcXJB48YEBfNvpOXGTO4Jx729hRUV/NKr9/QtLcT4ubGg1dvGJncycBi9JTJyCwrJcTNnesZGQYcpX9EBPXNzYhFIuqVSnIqKlC0thLh6UlmWRlDoqO5n5Nj6Pl7hYaiUqsN0mcfR0d06Pjzyh2u7r/Csg0fIRGJCNTbpVXJ5XjJZORXVeFmZ8eZp894r0sST/Pz6aD3M7ia/pph8QJolVlahrlUiqdMZgjtPX7vIf3jYpBZWpJZVoanvT2jUuYC8O1vawDhxrEwlfL7bydZ9dksWvXfY2tbG38/f0GCv/Az9ZLJEBsbM2/+t6z+dj5udnZklZdR2SgnKSCAisYGNO1aVPrItZK6elxtbfF3dqKlTU1FYwNP3uQyODGWoppaapqa6OjnZzCVqWho4MSRy1w/fY6Hj87RptHg5x3K9ae3mTZyLheuHsbS1JTw0M70GToGgFkfjsXJ2hpLU1Nel5QQ6+3N86Ii3GxtGdl/Ik+e/k1Lm0DPBnCzs+dJXi4P0zKYmdJP8P5obEBkJMLK1JRLT9J4r2eyIRX60vXDiEUiNu39iyuHz3P24i5a2gTsJy62D0MmTWD+rNGo9LLyZQs28OtvX5AU35u7T66SWlhIpJcXQV7+FJQWMG3CckYsGElisOAQdujQRXyjfBnVtTNff78bJy8nPps5/p8DNEbHxuoWb/6ZaJ8OmJkIzsvZ+h7dTCol2NXV4Fj0sqiIxpYWkgICsDYz49jDR9hZWhiCO2+9eUOUlycVjXISfX1R6b0LIjw9sTQ1pbapCXW7hrJ6gbK8d+txOqV0IqVjPPLWVqT6Maa3g4Pe8s0IBytrVn4t8BQGje9DvI8Pv/91kWeXU9n9+xqKamtpbG42hJ34ODriZmdHqp6MdOnyfZbPnWggVN3IyKCirp4hcbEUVFcT6OrKkP7TmLxcSMVKigjBUybjVUkJR34/S1leGYu+mcPyWSuxtnYgeURXunaNNQiocisrifD0pLS+Dq1O2AT7fjyKubU5sxaO42VOAQ1VDQzs1QmAR5nZDO+cyIm7D0kMC+K7FdtYvvZ9Ojg4cufNGzxkMvycHFm7eT8AH84Zw8Unqbg42tPBwYELVx+wcNIIdpy8gKmFKZuWfIWvbyQ7Dwhinwj/CExMpMjltUgkUnZcPEXOizx+/34Dm47t5ss5K1j/xw/s3XgUgMVrZpNdXk5SQAA1TU04WllhZGTEl2u2sfXHpRTV1lAtV+CmD1HtEtMVGxtHthzdxsq5qzl+bie25hacfvaMPuHh9EoeilRqTr9xQun9ydzxGItEKFpa2LH3FNUl1bw3exiHtp9k6eczkLe0cvvRc1J6dP7fLPFqm5qQt7TQJTiMnLJiAty9sLZ24MC1c7xMfUPHTpGGUZ+JsTEJfv7IW5ppUCr58af9fLZkOruPnOPXr9bwKvs53285wIxpAqHtk9lfMXrRWKRmUrwcHChvaGB4XBw5FRVI9JoNuV48B5BZVsbzxxl06x7H+k9/5tTpnwkOSmTvhcPklpSRGBSAr5OTwbX5pd5Md8zQefxy4Hs87O2xMTf/5xwKPkFBuh3Hj5Po50eNQoGzjY1hQlBWX09ORQXBbm5COnFqFm8eZuIT6cvO79bx8s1T1qz9ja9WCLfUk/x8ory8OHb9Lt7ebiQHBVGrUOBobUWzqg0dOto07RTo5dptGg3udnY8epONuYUZXjIZhTU19A0P5252NjkZBSx4bzgP9f3vqcOXef/9sdxIfcnwLh35/PMtrFu3ALWeIn30xh08PVw4+NMxKkoEj8BLl//g6qtX1CuVmJmYINN7PG7Yfpia4mrGzR6Kt6OjwRpuy9EzJMaH4WRtzeuSEvpHRHA/J4cahYI+4eEGNd27VVpXx903WQS7uxlCWTr6+XH49l36xUYbsI0dJy8CMH1oP47duc973ZNJLy7G18mJ7IoKnG1ssDEzY+uev0jqGUeivjqqaGjAx9GRe9nZiI2NhbAXlYqKsmokpiaEensS4elpqIycrK1xs7PDyMiIwupqVi/5menLJuBpb8/56w/olBjB09RMvPyFsXPqrRcExAcQ5ePN919sJ6RTKAMGJCGzsuTXbccIiPXn4flHBt/OAwfWotJoOHH/IR7OjkR5edGj8yDmfbmMSQN7YSwSYSGVciY1FYCBkZGGyLzKxkYampu5eeQmfSb0EujsFZV4OzthJpEYcJoXRUWEuLvztrqaeF9fVq/9jRVLZyAyMuLLtTuJHxAvEJxq5Ibfw9TBfbA2M2fJV1sJ6RxCbKAfmaWlBjbrnfQM6iuF6cbC94bzqqSEUHd3zj9/TklBGX//cYGBM4YQGeaPk7U1j7JzCPYQfkZb1+5lzIfDqauXM75rF77bcZg5k4fxw0/78I30JSEqmIGJXTl4428A1i9Yx97jW2hobqa0ro4RHTvT1tb6zzkUYuPidFuPHEGlVvP08WumjexvSPdpbG7myqtX5KXlEZYYTICLM2n5hbjY27Fy1nJ+3Pcj7nZ2pJcIEl2pWEKCry+VjY2429tz/O4DfN1duHXtCW7+biRFCDTnd0i2oLjT8M3a3cz8YDTBrq5klpXhYGXFoB4jGTJxAkn9EgjSl97lDQ08fpTOqEECgj578ko27fqC/Kpq/Jyc0KFDpdbw6eyvGDhDkNXGRAQaZv6t6ja+++UgfQcns3vDYZJHJdMnLgprMzMe6RmQpeXVFGUWEdstit5hYbytqcbDXoa5iQlVcjmZZWXILC3/t4CPQBcXLr9MJyUulp92/cmns8fSpmnHVCLh1LNnWJmaGmLsHKysOLLrDJPmjuBpWgYTB/Yiv6qKMA8PnhYUkF9aLtCcy4SN5OfkzMuiIr5ZtImUuSkkRgRjIZViZmJCU2srAS4ufPvrAWZNFPwB7SwsOJeWhru9PQm+vmSVlzFt+GzuPzyHu6sPZRWFlNbVYa8HPp3sHLCzc+HGszuM7DOagoJ0Tjy8i6utLaN6DePMrXMsnv0VsT0TAJg8aTDnrz+gd9d4Qt3dufDiBeUlVfTtFEtmWakhrfnTGV8A8MmGT/BykNHBwZHKxkaDBsbMxASVRkNRTQ1SiQR/ZyfEIgGAfpyfL9CYpVJC3N3xcnSmqqHO4K+p0mhoUCox12sT3tGct/x6lB/XLKC+ScHdrCyO7zjD9i2f8ygvjxA3N8P0Iauigkev3tAjJgIbczMiAqIwNhajbGogr7SAkro6QVGqBybd7e2ZPnwWV2+fQGxszKdLN7Lph09pVatRtAotzK+/HWPQiB6AQHM2lUiI9/HhZmYmT+++ZPVHU/85jMbG5mZ2bThEfnE5EbFBNLe1kVdZSV5lJVKJhLEdOxIUF8DQ2FhERiIUdUL82trd65GKxQYRCEC/iAiDYrBGIcfDxZG8knI694jFwdFOYMaZmxsUdMdv30diLCZxcCL+zk5IxGICXAQ33iMXD9JtYCfsLCxYNOtLFs36knatFp9Qb5Yv3MiCeevoN7U/TtbWZGTkYWRkxO/7zlJUW8vw+SORucmQucl4mppJTkUFp549421NLR6BQu5C19Fd6eAhRI+NGDyL6roGqusa6BQeREBcAMmBgXTvnMK5v+8JkXdewew5fJ5WtcB3V+udgSxNTXmYm0u/yAikYjGOno78eecBy5ZvprapCStTUwOHP9zDA2szMzoOSkSt0dCrcyz7z12jpL4eY5GI0jpBLfkoL4+imlqKamqRSiTIW1v56+Qm+naMYc3CjVy+/4wIv1D6duxNYEAso4b3QqvTodXpGDxgBm1qDY+evKJfnymk5uTz4NF5Ro1YQFlFITFRPWjX6ejg5kMHNx/q5fW8Lc6iXavl3pMrlFaX8+DaU9Z99ivXHl7hk5mrOfzXJt6fNYr3Z41i776zJHWKYsaI2QT6R1NX10hUqD99O/WlTdPOqhVbSX9bxMVLe7h4aQ+mEgnVcgUiIxg7YBKB3oLjto+7DwDLZq1ixQfrDI5JLWo1R3adIf1JJjvXHmDN6m1UN9bz4fvfsuqr7VTJ5fSI68aHExYyZdhMpgybiVKl4sef9hPSOYT6JgU25uak3n/FL5s/Y/TIRdQoFHg4upBbWUluZSU5FRVIzaXkVlaiaddSUpbH9ae3KSwXRHTtWi2fz/uaqydvc/Xkbeqbmnj85CKtajUHLt2g78TeLF6+iYrGRhJCBfwteWBHjvx2miO/naakoprmtjaGp8xDbGyMb5Tvv7wf/y0qhdCICF1ocH/q6yoZs3Ai5lZmhHYQ2H037zxj0eRRLPp8Ez9+u5Cs8jKaVW3EeHtz7fVrlCoVrra2jO4uuOruv3KahuZmIj09EYlErPh4IyJjEXH94zi5/RAb937P7bupWMuE0df0gX0orK5m/+ELLHl/Atnl5QS6urLzrwsM65tMRmkJZ3ZfxN5F6GcnTk1h++bDxPWNI6VzPGu/+522ljYunT7CB19+gYObDBsbK45vOcknawSMwMfR0dDvS8ViPOzteJyXz53rTxk5vCcWUoGC+46c067TsfT97/jrrx/Zevwso/t246Y+kTrYzY1Qd3c6JQwkJEJ/cy4ej425ObEdOvAoL484H2/qmpQ0t7VRp1QS5u6OhVRq8FysUyo5uP8cHUI70D8pnpdFRVSUVmPrZMul3y+x/Ku5KFpa/oth+fw5rx5m4B/jT++IcJZ8vAE7Zzu8Qr24uPc0q7Z+Toy3N1/o9SHzF76Ho5UVIpFIoAzrK5Q6pVKQ8ZZWEhngQ1GtIOc1lUiwMTdn3aKNvP/tXCylpvTT6w1yKyvZ8s0fzFo6AUf9uNLV1hZ1u4a+XYcz64tFfD3/IzLyXvHb4bNsWb2S1zkvsDQ15VlhIQAzUiZjZ+fChE9ncvPwDdz83Vn06SQe5+Xz5NJTTu7bjZ9fNOOXTMZBJpiazBk0SmAsatp4nZ/Jk/w8or06GCqE1R99T15eGpMWfATA8KHdcbCyprKxkdK6OlLvv2Ll/Ck8yctFrdUysmt/xk7/kNWfzwbAyswMtUZDdkUFp8/cJKlnnEH3c+n8XS4c/BO5vJait0KuxKOcNzS3tfH8dQ4DkuKY/d5ivtv5JfaWFmz95Si1pbUsXTObLuHCAXEn/Qn9Enuy5rdfGN+7G7VNCnydnP857UNgWJhu3R9/MCQ6mpzKCjo4OBqcl/ycnZFKJAZcwEQs4fcLV+nXKYbTV+/z8OxDftu9mhK9wOmHL3ex8afFmEokXEpPp1doKN9s2MPs2SORWVoaiDTv1rFb91DUKejfXSDNuNsLIaoh7u7s/vuqIcPvHRvQUyajvKGBjNJSgwoxyNWVq2kvmdKrOwdu3qbgVSHOHZyZ3L+H8H/cfUhCkKAsfFlcjLudHT+s2MHy9R/g7+zEjuMX8A3ugFoPcsV4e2MsMuLwyasMHpDM4YMXWPnJNGoUTew7epFuveIpratnXGcBOJw59yt6TeqFVqNlTHIncioqMRGLDYEyt5+mk5uayycfC5bzyz7ewPK177NuxXbGfzyK7NcFlGaX8vWKOaz4ejtfLJuJRqs1JErFenfgo4+/x8Lagt5je+Dr5ER9UxNdgwVa8evSUvb9cpyBk/sBUFcv5/D3+3H37cDQWYNJiX7eNm0AACAASURBVIkhIX4Av5/cybxxH3HwzC68HRyo14Ni0ycsB+D9r2exZOKHDB4/gbETB1Df3ExRaSX9E2JIju2Gt7cgVQ5PjOPp7ducuLgXrU5Hq1rNsTPXWTpzHDkVFZw4dxN3fzc+HTsRgOfZ6TwtKEAsEtEzNAStTnA+korFPMrLI8DFBRcba+7n5BoOZnsLC1xtbWlrb+fw8ctkP8smpncMXgEe9AwJQSIW06iX84PgZXDy3E38In25vO8Kv2z+jNclJST4+XEzI4O29naSAwMNpLz7OTnC4abRYGthwbxxCxgxZwKVbyvpP6oHRkZGeDs4GCYuAc4uREd24+jlPxEZwaWbj+ncMRIvmUzwpMzK4unj1/TuIVwUkV5e3M3KIsjVFYmxMbfevGFMx47/nEMhOiZGN3LmIlz9XIkN9sdUIuHhayF1OiE0EDN9ZuS7kVttTQOjunamVa2mrqmJGoXCALwZGRnpjV5rGRgVRVZ5OXVKJZGeHhRW12BnYYGRkZGBzvrXn1foM6QLZlIpZhIJdhYW1CuVBLg4IzIS8TA3F2cbG2aNEazV5n6zkGh/X/b9fhp1q5qZH4zG0cqKZ4UFdPYP4H5ODl2DglC3a7j+Wrjdm5tamNq7ByV1dXjKZKQVFmIqkVCnVFJaV8eYjh0ZPepTZq6aAgj2807W1tiYmbFg5lck9E+k/4Ak5oyazYBxY7F3sadPz0TDQRXj7Y2pREJFQ4NB47Fo6jK8A4JZ+MV0GpqbaddqDQQYV1sbmvVO0CZiMadO32D6hCE4WlnxqqSEisZGeoeFsnr9LgCWLppMXlU1EpEIiVjMdyu2s+HnJWzZ8SeNNY1cOf0nQ8ZPZsOXwq3p5xtJREQ3ysvzyc5+wtbTJ3B1lDE4Np7CynLCfEPYe+0Cv+u1IfuPfEeVXI6nvb2h13+Ym8v1yw9ZOvc9bmZm0jkgwIDEjxz+EU6eroR2DuXHZcv48+YFEn19+fXYOXp3jeerRZsoLc1j5bY1AHg5yAhydUOt0TA8ZR4KRT3bjmzm+y92sOf3L9l/7RZX9l5h5+9rDFRtlVpNTnkFijoF33+8jDfZz/D1DqWhoYrLaU/Y+uUeOg7piJ2zUFn0ioqgU2QnbqXexUsmY/TIRSzfuJA2tZoeoWHUKuRMm7CcLb+vBmDe5M+ZtnoGNubmhLgJLk0yKyvEIhEiIyM02nZOPn6KpbmgkjQxNsZUIsHP2ZkRfd/jweML2Ns68CQ7g+Mnr7Fo1lh0OkGnAVBaV0+/yAiCfYLJeZtNQ7Pyn1UphEdF6cbNWUx9ZT0DxvREpVHjbifIgn/94QBr133EvpOXmTisLy+Kiujo54e5iQmvSkpIy8pD2aDk19XfAvDJhq/x9/XARCzGxcaG7duPUV9ZT3TPaO6euMuIhSMMWQQAq5fNIrWggNyiMoYlJXI3O5vkwED+vHaHkT27UKtQcPTYZWK7CQlUMktL7t5OZfCAZMLc3dm47y+uH71CY2M101d+QJi/N02trZw7eIVp8wT//XAPD96Ul2Ntaioo52QyzqSm0qJsJSHIH2ORiA4ODgbgsF2rZe0Pe1i/6gOev30rIOkX7zCwX5Ih4CUitBMT5gsHVURSGCHuboS6e7D32k0mdE82PF9aYSGxPj60qtWGiU5GSQnZecXUltfy8bRR7Dl7BamFKe3qdh6cecBX6z+isaWFIBcXAH6/cJWcZzkMGNOTHiEh/Hb6b1KvpjJ4xkAeXnzMgvnjaddqmTRiHgBn/t5LnVIwCJEYG3P5ZTrOtjaEeXiQVlgohOzkFRDrJ/T0lY1yxCIRE/oMZc/fJ5BZWpLSpS85Ba+oksvZvPkQIycNwNVW2IBWZmbUKOR8+enPLFk7j7mj53D34XmO3X3Iug+W8uDZdazMzLiSng7At/O/Ii8vjTFTP6RDWAfsXe0xNTcl3MuTjyYtRio1J2lId5obmwlNEmzwv523GBcXH3Q6LWf+3kt6cTGRXl6YiI3Zc/YK1SU1PL+RxqBZgoeEscSYUV07U9vURHlDAzUKBR+kjGPfldPEeXsjs7Lmt/N/M7CTsCddbW1RqdWUNzbyweTlLPphoWC5ptPxxQfruHfvLxITB1NUlAnAiu0/4Ooo48CmY+zasYr+fady5uJuzqelUVNWy68r13Lpzll6JAp+CttPH2BQTBzP8nMRi0TYmpvjbm//zzkU/ENDdSF+veickkR4fDAhbm6GEt/XyQlLU1P2X7/F5F7dyamo4NKtx4zom8zL4mI87O0RGxvz8IVwK08f2Iei2lpMjI3R6nQ8yMmhqria6MhAsgqKGdW1M6YSiWEefenlS1JiYzh07Tbje3UzpPfWKORIxRIe5eUhNhaxbr4giPp65zcUV1Rz9tezuAe44+bvxoyxA9m66zgT3xvE3n1nSe6fSMbLXJw6CM5IaHV0CQsxZB1klpUR4OzM9Qep+AV4Ed2hAwtmf8PUFUK562YrBJBMGdSbrp0GMX/dcsb1SCYmPIlF331FZHgAlY2NtKmFZ4jo4EVJba3hNj33/Dm1lXU8v/mCL1bMNkS4vTOrNRaJuP74OWFBPsgsLXnw6g0WNhaMjI9n/7VbhPp1QCoWG0rdbsHBXHv9mqSAAGqbFEwaPo8Rcyfw0/LlKJWNeHuHc/LKETTtQum9ZN46Zq6eSnlpNSe2HmPKyhlM6JLEgAGzOHNuO1ERXTl78xS9EwXu/qusZ5hKJKQWFOApk2EqkfDZ5z9jYWPBhx+9x6xxizh86leDLuHY+Zv0792JYd0Go1ar+GDVanr0TGBGyiQ+WruKojdFRPeMZnSi0BIeunUHcwsz+kZEEBkcT21tKc/zsujbqQ93nt0ipfcYJBJTbt87ZXjmj99fh5OXE+mPnhLXI4nPPpnKii+2IjWTMu+jcSSFRuPk7I1M5gbAtVt/8s1PewmMDySlYzweji7M/eQb1q+Zz7jRn5IyL4U5g/uTX1UJwIuiYqT6gBd/Z2ccrKzILCvD18kJpUrF65ISPpu2hMAQIUty/srpJAUECMra89exsDHn8YUnrP7qfeJD47iVdp/MsjL2rz0EwND5Keh0sHPVz2w7spn0t0VM6pr8zzkUXNy9dGdu3yCnvAJHG2u+mf813+4UNmGrWk2Cry8vi4qI9PKirL6ePbtPUVtaw4LPpxHm4cF3Ow7TrZfwrC/Ss/lj/S8c/3s/N56/Qt2qZkLf7lxOT0er1eLn7Myrgrd4OAnEn/WLNmBtbc/2PWsQGRlxPyeHpIAAJo9bzO5D3+FoZcW3vx6g/4AkQIhQe1NWxqtnWbS3t7Ni7kTOpKYS7+PDlDEL6T8phcSO4XQOCDDkSFy69pCakmruXrzKxCWz6BgVQoSnJ2JjYxqUSrIqKsgpLaOyQHjDfDx5JK9LSnCxteXcgyckR4ZSJZcbGHY25uZUNjZy9JRggrJg6ih+O36e6cP786qkBHMTE4Lc3Fi46HvSnz7ks1+/JNjVFX99xmG7VkurWo2thQXFtbWYmUhobG7h5MXbLJw0Aq1Ox7Ah8zh9bjsAh2/dZVqfnrwqKcHDzs5gFlMpb8Tdzp435eV09PPj4B0h+TvI3c0Q26ZobSE1r4CJXZMpq6/HxdaWtzU1NDY3G+TeHf38MBaJDH22l0xGc1sbj/Py6BESgrpdQ25lFa+LBZzJ38WZABcXzE1M/sto949zfLhggqEt7BwQQJu+Hz+bmkaklxenL9xm+thBqNRqPpy+iqUbFvIm7y0zBvShrL6en385gl+0wM2YPaQfmWWleMkcKKqtIcDZhayKCpysrdn480GWfjwZK1NTw8hw7JCZ7D2xjbPX7jN/bAq5lZVCNaDR0KbRYCwSoW7X4OskVF+adg0ldXV8tvBHek3qxbR+vWhqbcVCKmX7iQv06BxDmLu74XL84/RlFowfxrrth1g0czQAzao2RqfMZt9fv/C0oICstByWzRoPwIGbt0kOD0UqFnPq+j3K8ytYu2zO/5mRpD7spcrIyOjV//Kxo0ZGRs/1fwqNjIye6z/ubWRk1PK/fG77/9vr/2f9Z/1n/XutfyVgthvQBOz7b3IffgQadTrdV/9TPsT/tGLj4nQHzpxB3d5OsKsritZWli3bBMC0hWNpaWujR0gIf798iZmJCWHu7lxLf8WE5C6o1GrqlEoDCnw3O5tO/v4Gs1Yna2s07e3UKQWb7AM3bhPg5W5A+tt1OuwtLAh1d+dJfj5Nra1YmpoS4+1tiFWzMzfnlz/PApAQH0Ynf38ySktRqlR09PPjdWkpbra2BiBMKpHQrtVSWi9MRMxMBCm2s40NtU1N7Nh3isVzxiEyEpFdUYG7nR03MzPpHxkJQEF1teGWuJOVhYuNDTUKBfm5xQQF+zB7yHjup90xkFZ8nZzQ6D0DnxYUkHr3Jb+t/4ZdF44T4+2Npakpao2GLP00IdLTA7HI2BB4+zg/n34RETzJyyNUnwwd6OqKj4dwax69dZlYb29O3n/EwIRYHubmYmRkZBgl3ruXxp7vN3ProcCY3PjrYd5mvEVRL8fB1YHPv5rHvkPnSb32hAnLJ/P44mMGjettuAWdbWxIz8xj2sDeFNXW0qZ/H2SUlhLg4szT/AJc9MlgAIfOXePBqfus27qE/YfOs+SDieh0Om6/eUOv0FCO33/InAEDWbfnIADTh/dHYiyioLqap1l5aLVaxnRN4kZGBl2DglCqVNzNyiK6Qwdupwo4xPje3QyVzOdLN/HJyhls/Pp3Uh/d4vLtkzx/W0SAizPPCgoB6B8ZyYQxn3Dq9FZel5aSU1HB0NhYzqSmsmvVTs6d387ZtDRSYmIAkIgl9O07jWOnttKqbuPvZ88ZndSJh7m5ROsj/KoVCuwshKTtKrmcQyeu8P7EYYQFRJGZl06v5OHcfXBWiCD080MsEqHVCS1cvbIZZxsbZs/7mp82LcHazAyxsfH/GT8FnU53W7/Z/2/LSECzxgK9/p8+/68ulVqNv97dqKlVkKCGdBIMSjzt7VGqVChVKjzs7fF3dsZCKuXctnMkBQfh4+iIq0RiEI50cHCgXasl0c+P0vp6TCUS7C0tuXjtFqO7d6GtpQ2pWIyn3t9QZmWFibFAWgn38CCrooIgfQjM8b0X2PD1AhQtLbw3WHhEe72tm6e9Pa9KSiipq0MqFmNvaUlORQU25uaYqNXkV1UR1UFIDM6pqBDk0fpA2p3ffcsX8ycjb2kh3MOD8oYGzE1MqHsX5uruTmNzM7YWFoS4uaFub8fOwgKNVourrQ1KZSO25ubY6JFpkZERBdXVBLm64u3oyLz13zB+1gISfH2xMTc3hM3E6r8fkUhEU2urIX7Pz8kJlVpNY0sLVqZCaO/9nBycnISvF4tEWJuZoahV4GRtTZ/wcH47fh5FnYIhQ7oRHOmPh0eQ4Q3ZY1BnSmL90bZrcXa2x83WltamVmZ9OYu8zEJGTR5IuIcHf14X2o2qshrynufRPqAXVXI5L1/l4DPEkbScfJQqFbevP2XQoGQDDpTcKQqdVkddUxMDUrohFYu5l53NtRO36Rsejr+HG0NHfIiFtbChjEUiGptbsJBK6RcbRXlDg2DjnltCj5AQKhoaGBAVRUtbG94dBIygqLaGUHcP5C0tpMwezOPMHIbOGULCoERklla42dlSr2zm0r4rAAzeGM3oRWN5VVLC49dZSM0Fbw5XW1umrZ6BSq1GKhYbRud9+07j6tW9GBn9gp2FJeUFFWR6l3Hz8iPi5/nSrtVSUF2NvYWw9bxkDqhVamzMzZm2cCmZZWW8/81ijIyMePwgnS6BgTzMzcXLQaDKO1sLloAzF7/HsRt36RgZ8i/vx/9PCVH6KmLju9NH/3WvgWxADnyh0+nu/DevOQeYA2Dv6BR3/8VzDhy6wLW/zlFfX8GK3wRTzx5hodiYmzN1wuccOLwOHTpSC99iJpEQ4elJenEx7vb2XH8lkDzS76RzbNd2Hj2/w8PcXHas2slfJ39m+szV2DrZMvvDsShaWwlyFXq7qeOW0NhYTZcBfRg6rg/WZmbIW1rY9PlvjPpkFDWlNZzcdpTPtwiz9E7+/rw3ehHjlk5g96pfWfzTUlxtbeng4MDYYe/z0fcf08FB8Op7R40O8o9m5Y7NPP37KYOn9sfN1halSkVmzluGJCeSV1nJoe2nOHFIIP/s/Psklw5cwd5Vhk+kDw2V9UwZ0Y/7OYL+YmhsLA1KJZ9+IqT1zf9sMm9ra3lx5yUzJg+ltqkJC6mUvfvOcmjbz9jZOZOQ3JtpCwQFYEldHanX05g3exRrlv/CF9+8j8TYmHtZ2Yzp1JGM0lL+2HmS79cI040HOTlEenkhFYtZtX4noyYOIMTNjYzSUiykUu6nvWZ0zy7k6sd5T9MycPJ0QmRkREurioldkymurSWnspJgV1fS3r6lf0QE+67eBKBvfDQa/cjU2tSUtzU1mJpI+GP3aQaN7ikE3upNdAGOn7xGz74d8bC340VRMY2NChKCAjAWiXiSm0f6nXQWfziRKrmgS7j+IJXhvbrw9+NUvD1dERkZ0a7VUlJRTVAHD3wcHXmcn09htpDtCDBj9EAupj0nxMOd59n59I6L5Nqzl4T4CtVnXVMTTjbWWEoF2vKuo+fxCfdmVGIihdXVBkyhsbmZFrWaABcXSuvq2Pa1MIbdsWuV8LxmZuRWVhqCaisbG2lsaSHA2RlzqYkhryHE3Y1quYIahQJzqZRmlYq29nZyS8qIDxQmWM42NjS1vlNt2pFdXk5hTQ1arZauwcFYm5n9nwMa/4dDYRuQq9PpftT/XQpY6nS6WiMjozjgFBCm0+nk/A8rJjZWd+32bUrq6/GSyXhZVGRwKp48fC4f/biUKC8vXhQV8ejcQ1Z/PkcI+FSrKWuo55Oxc5gwX8hMMLc2J6FjOHdvPGP6e4PJrqgwhJ4U19RS+baS1/dek/taOERmfvUBtaW1jOibzNuaGp4+yyAuNoT65mZSYmIob2ggv6qKLoGBAKzasJsJEwYS6OpKg1JJTmUlqz/4hnGfTsbL3ZmeoaEoWlq48uoVxVmCHmPWmMGU1NViKjHBVCLBzc6Oq69e4SWTcefFa1KSEmltazNYnudUVKJUqQjz8MDK1JRTz55xaP0Rln3/AfcfpzN31CDmf7SO+Z9Nefd7IMDFBZERrPluN9+t/ACVWpAUP39bxIDISMr0zwECq9LNzo6baelM7duTpWu2Mv/D8Zy7/gBLO0scHO3wdXLCX58KvWHnUexd7JgwoCdmJoJr0c4zlxjZq4uhBVBpNEwYIMiC957bT7VCgVhvaLps3rd8++tyg9DNylTKog+/Y60+J8JYJKJdq6VrbDfupd3BysyMX/adYPiQHrja2pJeXEygqyu25sLN/yAnB41Wi1QsJtTdnSOXbjKidzI6nY49h8/Tu18nPOztDTyOe49ecvyX/Tg4eLD7wLdodVqG9pvMsfN7SIpOZtOJfXQJDGT2pOWMWCCAeDUlNXQI8UJsbIyTtTUBLi4UVFfjaGXFwOTBXLl/keyKCvz04O3s8Z/wzY7VVMnlJAX4o2nXsvPAGYYP64mtuTlzJi5jz5ENnH8oBLcM65KInYUlRbW1+Du7kFNRjsTYGBtzc6JDE5FKzVnzx2bq9OnrBzfsYtuRzXQODqe6voqNu44xe9JQxqbMZu9fW4kJCOd2+jMuX38IQMb9DEoKCvnrzDYOX72Fk6sDI+Lj//89FIyMjMRAKRCn0+lK/pt/dxNYrNPpnv5Prx8TG6v75ehRbMzMyKmspF94uKFUVKpUNDQrScsvJNbXB29HBy48f4GVmRlHtpxg4MwB9A0PN6gYS0oqmdpfKPXb2tt5mPt/sfeeQVGe7d//ZyuwlAWW3jsioCAgWBAs2HsviTExsSYxMb17JyYxxZiYmJhYY2KMxt57LygighSp0utSd2m7y+7z4trsU978fs9/5vnPnZn7mmGGF9csu8uex57ncXy/n28Jao2G+if1hET4E+bhiUIuLE4Qzmp9JhN3HuazMC1FSDrS69H29LBwxmpe/PIVAlxcLFkRtlZWXMrLIz4oEBEiduw5zuw5aZQ0NDAsLAyNOdLux417WfaK0AnWG43EBwYiFono0un4/Ls9DBoZQ01ZHWOGx1kCP2rNMmSljQ3peYVEBPkR5eNDRlkZCUFB2MjlZJSVkVNQirevG2Eewk6kuL6e+KAgalpaiPLx4dMffmPR/AnYW1vjZGvLzaIievQ6Yv0DAMFJWlfdiKOrI+6OSpxsbWnWakkICuLUgywGhwQT4OrK4YwMACbGxHAi8wFb3/mWDTs+RWljgwkTfioXDH19SCUSFi94m/U/vA6AVCxh546juPm7MWP8CNwcHPD18ONxRTG+Lm60a4XviL9txy7O7hgMei4/yuKpcXMwGHTsPH0AVwcH1q3ZxFdb3+apactIGjMSgKRJiRzcdIivfnhTKG4FBVTWNDB1aAL3y57gaGtLQVklHz4n6CZ2nzuCtUyGn0qFUqGwBP5YSaWUNTaayd1CT+rvsW1pQwO6vj6LCe2ZtKkcuXkBK6mUIDc3pBIJjR0dlvtd7O04m/OIuop6Pln9EtW1pVwtKODDF95n3/FtPK6rY1T//hb9yL7rN6l7Us/8qaPR9/UR7uVNauoCHj9O5/L969S2tuJu7iUB9Pf2JtgniLwnhXR0d/PzlgO8+PICPBwdMfT1UaFWc/bCHVJShTXv6+xMTmUlKRH9eFxbR1ZhKS9MSPt/bogaAzz+XwuCSCRyFYlEEvPvQQhZkmX/1QMZTSYMfX1UtbSQdSPHEmShkMvpMxo5cuwq+bfzOXPpDnsvXKOuogFXe3tOHd1JpI83t4qLsLO2xs7amsQBERiMffx++TrNGg11Tc1E+/pgbWtNY2OrJQTk79j3QFdXQtzcOLfrHH9evk51SzP7Ll7D1soKhcKe3R/volmrpbq1lerWVn7cc5SirGI6untwc3Dg1O9/4q5UEujqilwiodegRywWk/8gk6/f/4Wv3/8FG3OhMfT10d7VRb/B4YR6ePDXD3vY+MkO2rqEptDfeO4t3/5B4b1C8ksrhGgxLy+qmpupb2sj2teXmalDiA8MolmrpVmrxdPRkW5dL1eu36e4oZ7whHD8VCqMJhMSsRi1RoOVVMYPPx/gh58P4KdSceHXCySGhnD+2HWifHxQ2dlhI5MRHxzEpq/3IBaJmDpoEFMHDcLQ18ew8DCGjB/JiUOXadZqsbOyprqlhUdVVUjEIl79fAUeSkc8lI6Eenjw8ur5LJ87GR8nJ/aev8ozq95BKhYzZMg0Wjo7OXo/838+f89gRo1ahI+TEx4egfT1CRRoqVjM1av7aOvsJDCkPwp7BQp7BVMHDeKNz1ZQ3NBgGUHWl9VT396BrZUVMX5+zE8dxlOr1/LU6rUo5HI8HR3xUCrJKi8np7KSR1VVqDUaPB0dqWltJfPJEzNi3hp7a2t69HqatVqqWloYN0AIahkSGkq0ry/3nzwhq7ycJ01NtHd3097dTbdOz/S4OM7uPo1EIqW0oUEIx122EJW9PW4ODhTU1lqiCGYPTWLMSEFHIZNISE1dwOXLe1GpvIUiqlJR39ZGe3cX7d1dHLmZztPL38JkMhHg4mLG1Cspa2ykQq3GXakk71ae5fF/+fUoXk5O1LUJkQVX/rj8317Y/1+zJAHmA/v+j9tHADkikSgbOAisMJlMLf/V35BJJHg5OWEjkyG3ltFs5vhLJRKsZDL6xYdhpbAiLDqYCUPiSRzUn8LaOkanLaRXb2B4WLjlzTD09aHWaBmXEIu3szM9nT0YTcJ2qk9voEuno6O7GydbW0vzrkevJyAqgBGx0bg7KBkxKJonTU3cu3eapElDadZqCXV3J9TdnRlTUxGJxYS4u1HS2EhMUjItWi2Gvj7K1WoBsOLoSFjkAGatmcGsNTMorKtDIZcjNp/7zmw/i95gYNDwYUxdNhl/Fxcq1Goq6hqpqGskeVYy1nbWuLg64enoSGljI97Ozjjb2VKpVnP8dgaNHR0Wl6SVTIq3kzO+4b4Eurpybtc5tD09lpxIrRlYO2F6ChOmp9Cj1+Mf6U97VxdeQV5CGK+tLZqeHnr0eiYsGkOvXs/NoiJuFhVhMplo6+oi+3omQQOD8HdxwUomQyaREO7lhdEER/aes/zPWjs7ufwol/SSEgzGPqaNSOL6mZM42NhQWpqFl5MTadFRFldlU1MV6enHEYlE2Nk5oVZXo1QoKKyrw909AKVCgaOrkoDoAAKiA8ivqeHS5XuEurvj5yLsVhJHxCARiejs7aW4oYG7JaXk3c4h73aO8HkSixGJRET7+tLf25sYf38Mxj5L2neUj4+QJWl+DS729jhYWxPg4kJZYyO9vV3Ut7XR0d1NUkgIkT4+hLi7WTJP/240T3huMp3aNtyVSmytrGioEPoFf+Peba2ssLWyIr2khGNHr9DQ3o5SoeDx43Sio0eQm3sDuVSCzmDAz8UFlZ09Kjt7JiXFc+fSBVR2dmh7e1C6KBGJRPQzH6skYhHJs4bjrlTirlQye3YaOoMBfxcXqmsaGLtk7H+7KPxbiJfi4+NNxy9c4ElTE0Fubpy+m0lnu2CWaa5tZuq0VGzkcjTd3bR2dTEiPJyypkasZXLul5Vx8JtDDJkmkJOv7r/CtNXTiQkLYoCfH3eKi6lta2OAry/FDQ04WFtT1dBEfbkgFHL2cOLm4Vt8sXEt9tZWVKib8XdR8aC8gmFhQmDtzcJCC9npbmkpSoWCKB8f6tvaaNJoOHL0Mn4Rfvh6ujGqf3+aNBrOZWYR5ucDCBQfgS7cg1KhwGg0ciIrixH9wtH09OKkUNBrMFhkyH5mf4S3szM+zs6czMqirq6JKcMSOZeZxYT4WDb9+CejJg8DBF380LAwevR6HpizA1q7ujD09fHrX2dYODONZo2WCG+hs345P5+4gEBOpd/n19DDOQAAIABJREFUqdEp/HjgBGkpg4XxZF4hs5KHWIxGAFUtLWRmP+a5yWmWDI2Vyz9h/cZX0PT04uvsLOyAfAMAKKmtosKsovR3ceHH344wZVIKEV5elDY0EOrhwd5rN5icIDj6/h79xfeP49y9awS5ufHVT3+wcN54gtzc2HXmEvFRYZaRpFqrxWg0Ut/eztRBg9h15iKjEmLo0um4eD2D1GEClepvsErhkyo+XbmWzs528ktzkUulLJj9Kr/t/xoPZxe2HDvBhMQ44iIGkTJyLgC+/XxJGBePwdBHQkgwSoWCHp0Olb09C+es5dsd67hXWoqXWXr9ysIXOXhuH7WtrUR4Ce/z5u1/MXxMAin9+jF96mp2/fkVB85dA+CpiaOQSiTcLS3lhcnzOXfnAm4ODsilEuxtbImOHsELH76GQSccoyvyK3h66TQmDx1DXnE2H2/YzoYPVzFpwlI27lzP6EFDOJdxkyOHLgHgGeTJud1nOX78e77ec5CEhEhS+/f/5/AU9H19XHyYw737edS1teHn7U5KUgwpSTE8vJKFtUxGRmExttZW1DaoBfS5qyu9ej3a9k58wrw5svUPjmz9gxGzUgj19+ZJUxOVzc3cvvmQzPOZ3Ml9zNXD1ymtrOX2sTvk3sgl90YuYxJiGL90PA8rKmjs6ODe42IaOzoofFJFR3c3ta2tPMwusvjgGzs6uJdXSItWi4ejI5mFJVw+eJrTv5ymrrmFymY1FU1NlOU8QacX6Mt+KhXFDfX06PVUNjcLST46PQ8rKmk1b6EdFQo8HZV4Oipp6+rk+s0snG1tqW9vx9nOjsf3Cmnv6kIkEWNnZc2pP/ZRVFRBUVEFaq2WmpYWFHI5D7IeIxKJcHNwwMfZmeSUOHycVfi5qCxBuBKRmLulpTRWNiKVSOhq7yK/uppr6Q/JvpJNk0ZDQ3s7Kjs7VHZ23LqVRXluuRDfJpGQXlKC0s2RxvYObmTkCElGOh0BAVEEBEQhlwrmHblUmHhb29kIsmyDnrq2Npq1GhqrmiwpXVUtLVQ2N6PVttLZ20tNSwtn9x0y0427UdeqLaGrtlZWFk3KvQv3qW9r4/jWo/iaG4vHftkvJC7JpLR1ddLW1cnJrSfQaJoZOXo+N4uKyK6sZOiU4XT29hIQEE3GmQwuZz9i/JRnSFs8hrTFY7h/5RZnd57j8u+XsLWyoqalBWu5HLEIQmLCuZ6TR8aZDNRaLWqtlslPLcRKKsXNwYHqlhYh5HfvAURmc9OtW4fIq64mdUgsqUNizXZ5MaHu7lhZKahtbaVZq6VC3Ux09Ahycq6RdSmLM7tPcGb3CVSeKtQaDf7+USgVCkqzBa3IqLnjKWtsxGg04uXkxM2Tl7h58hK2SluuXv2Dpo4OEhOjCXB1/W+vR8m6dev+X6zz/6vrm82b1zUWdmJlY4NnkKfFH9DS2cm0maOJ8PbmVmYuY+JiCPJ051JeHj5OztwoeIyzkwPjRw8h71Elzi5uTJk7mmB3d6J8fWnWaqiqb6KutJbopP7UVzQwZXwyg4dGM2J0Asmj4vFxchaSoO8+JC0+lnBvL1zsHZBZy7GRyyiur0er6+XonjPcu53DjEmpPC6p4OqNTKROCq6fvMP8NQu4ez6dp56eyuETV+kyGsg4k8Hg1FhEIhEKKyszrLWHrl4d9W1tKKyseJBZQL8QP7p1ejKfPMHDUYm+rw9Dn5Gbt7JIS07g3Y+2MColnpRhg/hlx2FShsai1mrRdosFh57JhLNKSW1bG+GenkSFBvKoqorq1lYeVVYSFxiICEFQJZVIsJbJMQGZmfm4+7vj7+aKQmXH45wS5k0cyb0H+QxNGoBIJDIvYC3DYyOp7mgjNjwYmVTKBy9/Q1VZKZdOXuPInu3Y+gUxeWgCLSY5UQkJ6G1lDAkJwUYu53TWQ2IjQujn5cnBa7cJ9/Nmx6/HWbZoChu+3M3t29kMiu+Ph1JJj8ERn3Af7G2s+WXzDyRNFra8Lz/9LBPmz6JJo6HJjOvr5+XF9PGj6TU5o23pxHdQEO8+9xYBwf2IGxGDTCIVIvwcHSkoq8JW5sbEFybx8wffc/XUDdavf5VPP9vOmNmT+frDNbRV9PLU208jtZJhZWPFtq/WY2uj4s6tU8x9dhHder2ANmttZWRyHCtmPcul0/sovl/OzVNX2fTth7R1dZFRXILK3p53V3xCQ0MFq1c/z8VHuTSVaDi1/xjvrl2Bm4MDDR0d5NfW4umoxH9YPMHu7hYalTLQH09VP3b+9BEGg47m5ho+//ojfJ2diUyJp0mj4cbZ2zhGejM9ZQhPT1rE8vfepxU9279eT11dKWveXEtVYSe1nRpGJcXyoLyc/b/8Urdu3bpf/qv1+G+xU5BJJOj1Om6eucDjgifczC3A09ERT0dHHjwuQSqRkH87H7k5Rk0hlwtdZBtrZGZm4LWLh7h28RBWUinpJSU0azTYW9tw5/gdtG2dVJbUcOussLW6/TCfnMpKciorkZiFPFWPq+jW9VLZLESJX72TZf7WauX2sdv0dvXS29VLl05H9tUclC7CB65b08W9i5kUFt7j0o37uPq44OrqhFgqRiIWfkwmE31GI0YTONjYEO7lhUwqpbW+lV69kMcQ6uFOi7aTFm0nrZ2d5FzPRiwS4errilJhQ0FtLYFRAVjLZUT5+HD/6k2u7r/G1f3XUNrYWBqVZY2NRPn6YG9tZSEt9+j1yM3+//auLqykUqoeV9Fn6KOhvZ1egwE7J3seVlTQoRaCZTq6uwn1cCfUw53cqmq6tT3cKSqhrbOT7m4tMcMHkzx1NJ6ewfiEeGPo68NkNGEymvBxcrKg39wclViZ07Ll1nKaNVqULkoaOzqISo4iKjmKxo4Omjo6aG1oRSQS0dShob6+jHBPT1o6Oxk+YqYwynV0xMvREXtrazp7e/HyCsbJw4nbt48Q6uHBmNnTuH7lCK729thaWVkamReOHMRoNCCTCzsXd09fZBIJsaNi0OsMuLv709ragFgkwtHWFkdbW2xtHcnKukhbW6PwWOa4PBuZDKPJhErliaubP2PnzGDsHCGFSyGX08/HmyaNhuihg6isyKPXoMdOYUNlZQFhETGWfFEnWwVxAQFUqptpqWtBrdHQqeulsaMDg85AdWk5/v79qajIp6IiH7FIRJNGQ2tnJwq5HKPRiEwiRSwSkZw2hbaGNqL9/RCJxIhEYuysrSkuzkAiFeNsa0uY2fH637n+LYrCf67/XP+5/n2uf4tGY9TAgabM+4KUoUuno0evt+gCpk97kX4Jkbz60kJ+3HGI03v38/oP/8JeYU36hUxeXDaHYC8/buRlA0KCtdLGhmWL3uKzre8T4OqKQi6nw8w0PHT+Bg0VDWSaRR4L3lxMsI+nYCe+cJdubTfWttbMmj4KT0dHDl69xfzRIywS5Kmj53Dx5jHUGmHHcjEzm8d3H/Pua0vo6O7GSibD1sqKUw8f8uUqARx6++4ZMsrKLOjufp6etHV1cfFhDns37GHz7vVoe3qIMcuQP978K08vmAgIkXrVLS18sfYbZq2Zh0gk4unRKZzJyWHiQIHx8LeWo769g58+38PWH9+jSaMhq6KCUHd3Qtzdae3qYsOXOwF4/bVneNLUhKejIz16HcdP3+C1Z+ew8/RFZo8cxpuvb2LZm4uI8hEapZu2H2DuzDGEeniQXlJisbarNRps5HKKGxqIDwxk95+nARiQ1B8fszxdrdGweORYahprSC8pYYCfHw8rKnht/kq+PfAzIHg3VHZ2bPxpH/PnjQMET4q2p4eq5mYGBwchFoktuRjNWi0qOztEIhEVajVBbm5cycxmyIAI+owm2ru6UNnZWejYta2t3HiYCyIRQ6MjaOvqYvGEeWw7/jsn/rzIqtXzkEulHL9ym9lpIwBo0giS7h6djoLaWrycnKhsVmMllTFn+Chu5D7ARiaz6A7ef3UTz7y1gH2bD/H6uhdo1WpxtLWln6cnl/LyaGppI9TXm7sZgq9wetow/FQu9Oh1pI1cwPFzezhyM51JSfF89c0eVJ4q5swYbQEMh3t509apJS11Dr8e+YWyRmEH8/ri19h+aCubN/xK0MAgpk0Snn9ydALf/LWPEF8vHhWUkn4ind92fvLPsU4PioszbT1wAF+VitrWVotFGkDb04PKXkjnDXF3Q2mj4EpBATKJhPQbWbgHeDB9WCJ5Znzbvbu5vPK0ADfp0eupUAsmGIPeQExYEAorK8QiIaYboMKMeheJRAwPD0dn0COXymjv6uLlVZ/z/obVKORyi9DGw9GRrPJyVPb2tGq1PCqrINxf8C+MjoykWaulrbOTs+dusWyhkGBcUFtLUoggRe3S6fh66z58+/ni5+3OkNBQGjs6UHd0YDS/H/08PckqL8fO2ppAV1dO3stkfHwsUrGYsw+zqSyoJGhAEKMjBSDI5bx8Us1KSnelkm93/MXwkXF4ODriq1Jxr7SUhrZ2Zg0WUF17r97A19ONktIqkuOieFRVjaNCQXxgIEdv3WXRqBFYyWT8dERY5PPSRvDX5Zsc3PwHP//xNSCg8f+2Ypc0NLB42lJ+OvAjIIiwdqzbhYe/J3OWTyU1IgJbG1vuFBaQFjeUnJI8VHZ26MxHjEFRQ2hvb+LwzUu8umgNdnaOfLN7A31GI0cPXuLlFfNYMH0liWOFD7yzhzP7v9/OpZtHMfT1UdLYSE1LC2Ojo3lYUUF5QyMlD0r45gNBMXk+KwNDXx8qOzuL8Ohvj01RXR0+KhW2VlbUt7VZxEidvb2YMGEjt+Lo+Rvs/eZnVnz8GlYKK6YMjsfO2vp/w/qJRSJ+3neCqPhw1j3/DvcyznCvrIznpjzNloPbMRiNjI2OtuDeNmzbh75Xz5IFk2jv7mZEdBxPL3+LO5cusO3Qz6g1GqJ8fCzW7EBXVxxt7citqqSyuZn0qw8sGH6FXM7d0lKKyqtJigy33H+1oIAYf39LL2RsdPQ/qyjcSU+ntq0Vdwcl53NzLUEnn6zdzPw35zI8PJybhYVk33jE0memUtcmSFh79XqenTiXtzcLH9bKgkoGpgygtqyOJdPGUtbYSI9ej1JhQ7NGS2l1HeW55RRlFAGQODmRxspG3nzpKSqbm8l+Us7AwAAa2tsZExVFi1ZLhVpt+Rb/fOsfPDNvAi729tS0ttKl0/HtZ7uYs2IaUomEUf37ozMYuFpQQP4jQWU5d0KqJRXK29kZWysr7hQXE+LuzsWHOcwYkkilWo3KjJRrM7MLPRwdsZJKOZmVxZW/rrFk5SzuPshj+YyJfPztbubPF75VxSIxwW5uGE0mvt97lFcXz0JvMJBfU0NmXjFzRg6j3qypB2H3EebhwYXcXOYlJfHeF7+wdtUCzmXn4GCrwM7KCjelA8FuwqL/7fwV5DZWzEseisQ8y99y8AQzRg9HLBIJYbliMdNGTgdgz6k/aO/uNuvxHXhr+ad8s/0jlAoFhr4+rKRSPvp4K2vfeAYAR4UCo8lISuJ4zt44gYu9HXsvXGNQ/1CC3d3Jr6kh0NUVG7MLNaOsDJlEgrOdHd5OTlzKy6OflxfOtracvfeAEH9vwj09LQvqUUUlu//1C3q9jjPnf6XXYCB+wHDO3zlHcsxQ/rx8krjAAEanzGXuS0sAUNgriAwPFDgIBgORPj4U1dfj6agkOTaZrPwMKtRqnMyY+kkjprDj+G+UVNcyNTGBHr2eo9fuMGxQFEobGz54azMbN73Oz78LUfSrFk9HqVCQVV7OiKgYiqrLBSSbnR0hgZH4+0fxr18+sXAsv1mznl2HfybSxxdtTxc/HzzNwsmjSY4fzcU7Z0mMSmD/ldMUVwhj2Gv7ryGWiPlxyzt8/9tRXH1deX78mH9OUYiPjze9//PPNNSqGRbbH01PL5+9KlinP//pLQrr6unn6cmjqipkUikh7u706vVE+/oiEYtp7OiwpFIX1NZa1GNpUVG0d3ejsrPDwcaGssZGqpqbcVcq6TJrAqpaWrCztsbNwYFiM0SjsaOD0ZGRmEwmsisr8XR05It12wAY/9w4on19KaqvR2ljY3F3tnd1CQ5JqQSVnT29er2FJuzr7IyznZ3l2+VG4WPGRkVTWF9PWWMjI8LDOZudQ3I/ocrfLS0VQm2Bc7fuk5wwgPauLi6fT2f0uCGsf/lLdu/fyBUzA3LekCSMJhMPnjyhvbubHr2eOUOG8dPJU4T7++CnUmElk3LJfP/0uDiKGxoIdXfnUVUVPXo9w8PDedLUJKg0s7KYm5REdFQyAHtP7yXMfHSwksm4fOEu/Qf3QyaR0NDQTPmjciryK/j2+7cA+PTLnYglYtTVatrVbaz7bi3lajUfLFnLkYsHeGXpOpZ/8gLNLYLcefLgOCqbmxno50ePXofRJMjPe/V6fFUq0ktKhJ2WeSu94/g5qotrSJ00lD1f/sl7X6wizMOTi7m5RHh7cbOgkDfnLWHvRWEBCnoPJ/Kqa9i3+yTWtta8s2YxJx9kMXlQLNmVlRzff5H5T0/kzJlbAMyflcaTpiZMJhN//nCY7ze/xcpVn3Hj8lHuZt/gt+MXiR4YZgGrDgkJ5dmF73Dw8CZ0fX38fu4K44fG0dnby+Ipz5GecYYf/zrJCzOF6PqQgEiWrHmTp5+ejL+Ligp1MwEuLmh7e5BJpCgVCu6Wlv5PO75USrlaTXJ4GPY2tnT2dBPkH0HRkzyu5OczwXyULG0Q9Dd/28+HJk3mdvpJ4TFksn9OUYiLizN9tG0bJQXl9On7GJUST435+NCt0zFh4EDefm8zX32+hpKGRpQ2NigVCt565zve+eB5siurOL79FABKFyVLl8/ESiojwNWV9z77mcHj4sm+8YiaompWv72Ytq4uS3c8xt+fawUFXPjtIhs2rLGYc8qbmsgqLEXbqsWgMzAqRXgvO3t7ObTnDO+89RwO1taMTp3H028to7Otk5TkQfiqVPQZjQzqF8uGvbsAGBkThY+zyvJ6M8rKCHBx4Y1Xvmb2SzMYFx2NVCIhp7LS8jc2v7+dLTs/pEenw1el4n5ZGXbW1oS4u1PcUM+p87dRmVOexyXE4mhrS0N7OxKxiLq2dqJ9fS0cS6lYjJeTExVqITbdx9mZta98xZv/eoHa1jYGBQRQ396GjdyKnMpKHBUKkkJCqG8XvBh9RhNNGg1Go9Fiu962fg9jl4yl9GEpb770FPk1NezYKAhct/30AWWNjajMhfBibi6Ztx7xytI5vP3B96x94xnaOjstyd/ff7EHlbeK4vvFOLo7onRRkn0rg5NndrBx+wHKsstQeavwixAK5fIZE7hXVsa2L/fy+roX+PazXYx7ZizVJTXk3chl+9YP6ezt5dsdfwHQrm7nwbV0hk8eiUeQJ/bO9vi5umBrZcWunw5RU1zNiDkpGHQG7J2F3drvX26jf2wc7ep29v2xgRdWr2fnTx9iNJk4mZXFo3v55N7Io1+SkBQ+JHUQoyMj+fTH36kuqiZt0Wh+fm8LE5ZM48V5Uxk/dgkL33iGhaOFI5C+z0hBbS0ysZgzZ26hrlGj1+lRuijp6eyhNLsEk6kPo/m4sfrTFdy7/hAHlQMr50zG1tqGXr2O9JISbl5/wJNHT/Dv78e5P4RC+NJXr7Hjo21s2fMZvs7ObD18mjXzpv1zisKguDjTolffxcrGiuHx0YhEIo4dvwrAtKmp9JpHat16PZVqNSaTidT+/ZGIRBiMRkG4YzYVGYxGJCIRj+vqLNl8fUYjYZ6eFNXVIRKJsJEL4SAA128+IGFwlIXbqLKzo1mrJTYgAKlYzM2iIrwcHVm5UDifPvfRKgaFBXPi1DVkVnImpg1BaaOgoLaWWH9/Qfrs50ePXs9lc1aDvbU1oyMj6ejutmwZvZyceNLUxJOGRuYPHcLrH33PomeFhKXatjYCXF1xUij414c/kTQlifBAXz5/9RvGLZ5I5eNKnn1+OgU1tQCMHzgQuURCSUMD7d3dyCUS5qXNZNqi51j07BREIhEScwYDQEJQELWtrTjb2dHR3c3tzFwWjR+JyWSisaODhxUVzBo8mKeffg+ADd8JSUSNHYK3YMuGPby1bhlnrt6lsbKR22euEDYgmi2bhJ1C8rAZ+PqHU19bTkVFHpsO/YqVVMrcYSnkV5SSPGgEm4/8xrWjAk9hndn1Gu7pSZdOh1wi4VFVFTml5cwbMZT7ZU+IDQiwGMeWv/QZYomYhPHxfPPaR2w/9itJISHsuXyNhH4h7Pj5MKcP7GXTfmEk76NSEentTWtnJ88ufAeTqY/vdv6LX7Yf4pM3X+BwRgYnfjrBph/esqR0+bu4kltZRbe2my3vfMHNOydIjB9LcfF97hU/ZuumP4hNEwKGQMC/JceP5sb9SzhYW/P6O9+y9KW59BoMpMXEU9/cwNrXN/LZZwLxelzqbFauf53I0ECC3Nws/SCRSIRcIkEkEnHuUQ4yidD7sjF/Pgf4+RHbbxCV1UVYyeRUNDVy7OodXpgqHCWzzV8sDR3tJIf3I9Q/nJq6J7R3deGmVP5zikL/6GhT1oMHtHd3YW9tw5Z9xxiTKphFzpy/TVxSFMnh4dwuLib7YSEKewWaFg0eQR5MGhRLYmwqx64eAwSvvVgsxj/KnzEDotEZDHgolWh6etAZDFQ0N/OkoZGKfCGJp/h+ESKJmK3fv0ttaysVajV+KhXX8wuYnZSIrq+P6pZmXOyFacjeExdZNnsSWeXltHV1Eevvz9l7D5g/Mpn9V2+SFBVOmIcnj+vqOHH6OgCpIxOQSSRkF5YyPjEOqUSCTCJBIhZz6kEWc4ckcbWgwDJxcVQocHNwQCIWU1BbS5NGQ0F+GdFRITS0tzMnMZH0khLszBFkEV5e1LS24OOs4nBGBsnh4SgVNvy0/yQ1xTWseXkhfSYT3TrhyORi74DKzo6G9nY8HR3ZfeEKS8eN5kJuLglBQeRVV1NaV8+i5OEAXMjNJdLbG0dbWxRyOZ29vdwvK7M0MrPMCcirlq8HYOnbi1Da2KA3GjGZTHz6ykb+PPQtjR0dqOzsUGs07Dt4ntFjkyzPXyGX89a/trBs5Rx8VSpatFoK6+qI8vFB39dHZ2+v5cjX2tWFl6Mjfi4uNLS3Yy2T8eeJS0wbJxx3ShsbSQwOtjht2zo7OX7uJvfP3ee33z6ltauLADdPruTlsH7N1/x+YCMONjZMGP88k58X+iITRgzGw9ERqVjMvdJSIn18LNzM1EHDKXoiWO/VGuEIFBMSyZn7tzm09yzvvf4s9e3t2MhlyCRCUGxOZSXDw8NZNGOl+XO9B5FIxF+37rD9oy2cOr+HssZG+nl6MmnCUkbNHc+yBVMs04dxI+dy4dpBEgaO4MGjmzysqCDAxQV/VzfKGup56+WvGThyIItmmgVfSz9mwdsLSO3fn43f/U5Hcwe/bH73n1MUAsPDTZOmvcDIOSn4ODnR38eHhxXCoo0PDEQqkXA2J5sxkVF09vZy9mE2zvZC99rX3Lj7u0KmRUUhk0oRi+BxbR3anh4KSyvx8HLFaDIR4i5Yjv9+3Y+qqhgUGMihe/eYmZBgeU5NGg3Vzc30GY1IJRL2bDsKwLJVc6hsbubcgcs4qBxQujmydOYEdh87z8JJI/lhxyEikiIoziwmKUVAb3XpdPg4OVHb1oaLvT2XL9xlxtRUMgpLiAkJRCoR8+O3+1jwgpBIHOzmxqVHucxOSmTe7NdY+M5CZg0eTNrop1j68Sp6OnsI9vOyZDH2GY0UVNcwJykRmVTKJz/sIW74AAqyS3h50XSKG+qRSaS4mhuZTRoNmWVPCHBzJcjNjfSSEjo6tMwYksjRexkMjwinuqWVyibhuDEnKZGbhYWk9u9PR3c377y3md4eHX/++jUuLj4MGpTG9zs+pMR8nj179BrPPzeDJo2GY/svkDplGKkREXz2/W+sXTGf1Ss+ZcvW9xgSJ1jcr6SfQyaRcKekmAgvbyRiERu/2oPcWs6q1fNIjUvmauYNSwO2pKGBcQMGED9gGBERQ5i2agZOLo48NWIkOy6ep7GykbhBERYGxuX8fAoLy0lNHMgbL3xCTU0Rf53bx8ThE9h3/hDPTn2GwcPSWPfZajQ9QjP2jRc+IXlGKvfP3mfCCxNIi4/h6MVb2CoVJMdEWZqqDQ3lAJRVl3EyIxNNq5bJIxJJ6B/H06te5/P3V7Jh6x84ezqzfvVL3M0V7OilDQ3cu/OIqROSsZHLcFTYUqFW46hQ0N7dTVljI+8tfpnkNGH3uOq1RUR4eVHX1kZ2ZSV5mYXYO9szeUQiQe4epBcXkV1UxvEfjwCw5MNnaW1uJ+9WHqNmJlNf38yyiWP/OUVhUFycadeRI9S1tTHQz49HVVWWTvPGt37kjS9XIzZ3gR/ll7Ji+gTqzI61jMJi9n+9D/9wIUPA1tGOsTNTqG9pZUJsDJfy8misaqJfRCDFxZVY21rz+O5j6soE0vJTa+eSfb+AKeOGYyWTcbe4hMTQEPJrqhkXPYDO3l5uFBYyJjISgP03bhPi68XQ0FC6dMKZ7vt3f2bQmDiSUgcxIjycuvZ2zt2+j6ePACkZHRlJe1eX5TU529lxID2daF9fWjo7CXZzw1oms4xJu3W93CoqJjUiAjtra87l5HDp8HVWrZ7H5YxsnhqbwoI5b7DyEyGWTiIWMyQ0FCuplJ8OnuLFuVPoMxrpNRg4/fAhk2NjqG1ts8zUC2pr8Hdx5cK1e7y6aCbvf7mNSTNSKa6qpaakhumTUnCwsbGE/P5+7gpNVU08t3Ayno6ONLS38+XXu1mxeh61ra309/GhWaMhNVYwpd3Lz6SquUVgGLi48NWmPcxaNJ5Yf38K6+oIdnfnm237Wb5YWFhtnZ0YTSbiQvqRXpgngFne2MSH61fh6mDP3gvXGBrT37KTKm9So+3pobSihjmpw/li82+8+dJTVKjVbN/yF8temoePk5Ol0Xv93F12frMBf/8odh0DPMOLAAAWdklEQVT6EYVczusvfsl3W98l3DeY9zf/xLjRSaxa8AoTF88CoCSrhMhhwv98fGoiCis5hj4jrg4OzJ/5Mh9veYfM3CKi+gkZjV+98QNfbn2HDvMxAOCjd35g8StzSAgOJnHQKI5cOmRJ5h4bHY1cIqFcrSYxYiBXszNwVyqRiEX0D+qP0Wjktc+/pq3BHPVX38KSNXOZkzKeqpoSVr/6Bd9vfIPFi9/ntfXLSAoNo7C2hq8/F/pYAVEB/P7tFrKyr7L36g2ig/xJCA7+5xQFb79A03cH9zMlNhZNTw8Go5F6M3DEw9GRiqYmfFUq1FothbW1/LXpEP79/blw+BC/n/yVq+kPWWo+U/15/RajYqJ5VFVFxZNalk0bz73SUgYHB6Mz6NH3GdH/L47Eovp67G1s6NHp6DUYcFIoaO3qItzTg6rmFmpbW5mblGRpAt7NecyckcP4/fRlnpo4im+3HeC9F5+mqkVYBDv/OInSRUnhvcdY2Qrb+6//9RI7z16kp7MHkwliBoThYm/PzaxcNG1aHFQOzEoegr3ZBXj0/n1iAwLo0esoa2xicmwsRXV1dPb2EuPvT0FtDWEenhbtxNWCAtJvPmT82KFIJRJatFqGhYWx9+oNhkdF4OPsjL6vj3M5OYDQXC1Xqwl1d6dLpyPUw4M9F68SHxGKSCTi/uNijH1GRg4SQLI9Oh0ONjakl5QQ6uFBR3c3ZTX1iERgayfoG6zlcou2JMTdnT6j0ZKh8eNvR/CPDGDSoFh+2H2YhXPGUVRXh9JMUjp+8BLBMcGkxkazevE7pC2cyLjRSfipVGw7cAobO2sO/7if5mZh3Hb/wUVqW1u5XVzMQD8/vJycCPIJZsOe3SxKS0EuFQA6O04J/MSlk9LIq65GZzBYQDeXz6czamwSDjY2PK6tZYCfH5rubkvzs66tjbjAQMrVauICAnj74x/5/IOViMVifth/nPD+gWh6emisEvo0dk72LEpNxtPdj+df+4DhExIJdnPn5PlbrJg/hfauLjLLy8nPFJLPXl0ym3ulpQz096eyuZnT526RdyuP5FnDiYsMw8vJicu5eUT7C83VE6ev4xHgQYifF0PDwvhy2z5eXzqPjbv+wtXXldTYaPp5+3A2+6Fw/+/nefedpZhMJmpbWxkVM5iODvU/pyj0i4oy9QsZjbOniknPTcDHyckyY9b29DAzIYGvduxn7bNzaNZqKWtsZEhoKMcyM9HpDYR7efLK4jcBWLvpLYLd3fFydESt0fDb76coz33C2CVjufzHFV776HnKGhst5KW0qCiqW1o4ePYaLy+YblHLXcrLExZgTQ0Zd3NpqhJETsuXz+bPQxdQujowMSWJ7zf/gU+YD39u3s76nV9SWlKFnaMtJ346ydtfrAIg3MvLMjbt1Qvwzdzqah49KGRS2lAM5rO3t5PQtNL39fHpZ9vZ/MVrfP7zXp6aPZ6mjg7u5TwmcWAE7kolK5/5kEGjBetx1JD+ONraMqp/fyqb1UjFEjp7e4VsB4UCLycnTCaTpRCWNDRw8dJdHFQOzEsbQUZZGfnZxYxJHczmz3bz8ecv0aPXW96jls5Ojh2/ythxQ4jw9mblivU0NzQQGBHCrUtnee+XDcxMSODFtV8K79GrC+jn6fm/8TTtrK0pqq9HZWfHg+zHTBiRyIlLtwGIiQlHZW/Pe6u+4LmPluDr7EzqgEFklTymW69nybSlfLzjC0sRifT2FtLBAyJ4+eNPObLtd3Yf+YUNH/xMaWEuB0/txMnWliIzvfqjlzdSU1PMvBef5drBazg4ObB+4yscOnOdurI6tn/zL4YOm8mM1bOwNhfy58eNo1+/JGpqinhUksfj2lr8zc5cncHAinkvUVqaxagxCwH48KuXUNkL/hEbmUxIf979LRcf3EHb08NzkxcQEzOaA38J7NEevc5MbpLy54lLDBsWi7anB3elkgP7z3Hz5CUePDiPSCQU/lt5DxAh4k7uY4YP6M+y+a/w9a7PcVcqefHZD/EK8mX2C1MYGy0U8vtlpSye9BQrP3mHuWnJlDY2MTQ09J9jnf7P9Z/rP9e/z/VvsVOIHjjQdO3WLUQiETWtLYS6e1i2cS++9iUOrkrmLhjPqVM3OLx9N69s/BAbW2uObTnOlq3vERuZyIV0IS3J3sYGe2srpk58gS+3f4yfSoWjGcve3tVFekkJjVVNZJ7PBOCZV+cS6uHBhQfZFN59jIOLA+1NHbyx5ilaOjvZueso7699lsJaYfw3e9RUTt86h85gQKmwYfuuY7j6urJ0hiBKaevsxN7Ghh2Hz7Dh1VcBKK8uoqCmFhu5HIPRiLtSiVQs5vsdBzmy81cOnP2DJo2GwUHC+XT1K1+w9NX5yMRixGIxmu5uftnwOxGJEXiHeTN/xDDyqqsZYBY49RoMNGs0ZJaXc+Wva7z37vN0dHfzpKmJxOBg+oxGunU63nxZUH1u+vFtTqXfZ1JSPBllpRTnl/PS/GkczshgSmwsM6etZuP2dfiZVaW/nrzA7LQRONva8uet2ySGhWJvbc21x4+xkctpVrcxN2UYxzIE/4pYLCYxNIT2ri5yKypZPn4SLe3NHMm4z5CwEK48zOWHtzbw4hdvAxAV5E+gqyvHbt8j1N+bPqMRFwcHalpayH9UQvKQGORSqUVWbC2TEeTmRk5lJeW1DYyKiebAyStExIQQ4eVNVXMzXk5OFlVsk0ZjSc5q6+qita2DbR9+z9J1L9Kt7SY6Qsi36NbpSOkn6A7yampwslXQou2kSaMRdnkGAxKxiDcWrOTT337AxdzoBTh/4iYpE5L47KXPePf7d6mub2JwRCjhnl78lX4XV6UDtY1qy/2jYwbgbGuLtVzO8ys+5uPPX+KXX48ye3YaNzJysFXaEubnbZkwpQxIoKa+guUr1vPGx8sorK3FWi5j+7rdLH7/aYoellBXWsczy2cAEB8UxLkcgTrVoe7g0Pd/cuHC7n/O8SFq4EDTgpVvUFdWz5h5I+nV6y2KvnWvb+bbn95hx58neWbOBO6WljI6MhK5REJxQwNZxWW0NrTy7TuC+eij7d/j6uKIlVSGt5MTP363D123jvCEMK4dvMbsV2dz49BNi432y89f4WFFBY/LKpmQGMfl7EeMGhjNH8cusnDaGFo6O/lt13GSJwtNNFsrK25dyWTm9JFEeHmz6bdDHN32J319fcx96RmGDo6mS6fj+L4LFt1BtK8v2ZWV2FlbW7Bcp7OzaW/TEBcegpUZGvP39r5Hr2fDF7vY+OkaciorsZHL2ffnWebMHUttaysjIyIIDR7IgmUCgn3IhERC3N2I8PJm69EzPD9lLGKzZftv6Ku+z4BaI5i6KtRqcvJK6GzvZPn8Kew5eRF7Z3vU1Wryb+fz7sfLadJoSDAXqU17DtFY2cjwyUMYFx3NrtMXKXlQwvg5I7l2Jp2Vz8+iR69n+UIB3PrXsZ9o7OjAztoaa5mMM1kPcXdyJNrXl6zycvxdXLj9qIDkgUIjr6qlBbFIxHMT57L7zF/YWlkxM2UiRaU51LW3s/u3E0yYOsKS1SGTSmlob2fjv7az5v1neXrSIrKyr3EiK4vX5z5HVt5dFHI5l8zE7vefexO1upp5z6/GM9gTFx8XZHIZA/38WLPkXayt7YlLi8do6CN6mMAmXr/sbWxtHZHJrDh0cht51dVE+/oik0rZfeI87U0dPLrxiMkrJwOg69YxbehgOnt7qVCr6dLpeG78TPZePE60ry+ezi5sO3uO5GjBr+KnUlmAqy8veY9XvlyDl5MTOoOB9a9+y9Wrf5CSsoDiYmFa8dYPG3B3cWL/D0fYtvUDpk5ewZ+HN3M2OxtteyebXlvHpdunGD1EMNJt2r+VcQMGkF1ZaUlTd3Vw+OcUhYGxsabE5DnY2NmQPH0YSoWCPLNvYNqYoXT16sgsLiUuNJjihgZqKup5bnIahXV1eDs50dDRTl610IRKiYiguL6ezt5exkZHc+T+feytrYkPDOTUgyymxMdZ0pQAzt3MYEhcFA+LyogK9sfPxYVKMwjTz8WFnecu4aRS8spMAaf+r51bkFnJuH3kFj7hPvj19ydt4AAOXrxBauJAHj6pYOzAaIrrG3j8REC8u7k5MX7AQGrMUfQN7e3IpVKO3ExHJBLx/PgxvPz2N8xYLOw26lrb0PfqSIsdyJJ5a1ny0QvEBPjz3KwVPL9uDSajkbBAX+7dFRx3K+ZPoUeno669HblEgp21NYtmrKRfTAxPrZqJ3IwOf1QlPJ/RkZEcuXWX1NhoKtVqymsbGDEgEi9HRx6Ul1NcVcv0IYPZvPMgAC89O4u6tja6dTo6e3t5c8mbbNn3HXt3nSD/Xg5tbQ089/6LLJ2YBsCokQtJmZZGdXENNy4e57Pft5AUEkKEfzCNzQ24u3hy+M51dn4uJDjt3v0xBmMfIoTpiEgkYtfpi8isZIwfPIizdzNZnDYSsbmx+sGX2/AO8SL/dj77f/2Oj7dt45lJY9i8+yABUYHk386n8N5jvvpJEFPdKSph7IBo5FIpAyISkEikXMu4zIfvfM/2rR/y7oafOfHbb6Q/uMT9MoEzXFpZS0lWCZoWDWW5xRw8upmJY5+hoiKPs7fP88yMZSSkpNIvUdhZPDVhFDMmvcC3v35OqLs706esYPbL85k8bDADQqO4nJXOyvlr2H9iOwDvv7WZpa8voLO3l2FhYYhFUNfWjr+LCzKJhKaODn7acxSJVHjNI0YmEOzmhlJhQ8qw6ew/vYekyDgeleTyxde7+eKj1TRrtRy6JAjCVF4qIn18GOjnT69eR0lDA5E+Pv+cohAXH2+6feeOgKNqbqa8qYlIs23XRiajoLaWaF8fHlVV46dSEerhzhvvbWbJyllkF5aiadXy7HRh+qDWaMgoLSMhOIgAV1fUGo0ZpSXDT+WCRCxC32e0oLO1PT3Ut7eb/QEyfJycqG5tpa2zk9+2H2Xes1Nwc3Ag0IyzulNcjLeTE74qFbsvXGH0oAHIpVK6dDpqW1sZFhZmMQj9jZ0vLa5k+YyJFrHQS69/Rf9hkYxMjKG9u5sgNzf+On8NG3uhkRYTFkSQmxtH79xjTvJQ3nr3O95573kuZz/i7sm7LFg+HalEYlH4lTc1MWHgQE5mZZEaEcF7H/zA15+/Qo9ez4l792mpb6WlroU5cwVhy4Vr95g6Zhjnb2fi5u3C7ZPprFo9TxBtFRbibGuLt7OzRRcQ6OrKnotXMRqMuHu5MCkmhjvFxRSVVzN5SAK3iooY4OvLxbtZAHj7uhPk5ooIEX0mE1duPWD08EEEurryuLYOb2dnaltbuZVhnoYMCKdHr6ets5PRkZEcvXOPmcOSWPH8x4yYO4LoiGAGBwVZjpS/XrrKyJgoSxyfg40NVc3NZBSWMC0pgV/2n2TVwmm0mxOkrWUy7j95Qv6jEl6cN5XGjg62/PIXbn5uSKQS5o5LwUOp5LNf/iA8VmBxDg4KwsXeHrFIRGZ5OZ29vdhZWzPA14fvfj3MioVTMZpMnM8RYuYyL2Sy9IWZlJtdt1KJhKSQEHr1eqQSCXVtbRiMRq7fFaYDiyaM4q8rN/Hxcae6uoG4yDAaOzqormmgXS0g1AJdXS3oud1nLpGaMJDjZ26wdslsy9p577OfGTFlCOrmdgYEB+CrEnZTR66lMyphIP4uLtja2PJX+u3/du7Dfxkb9//H1dTazpWCAkZGRCCXSvFXqSwz9Yb2dowmE1ZSGTZyOZdvZvL5ybsERPrz7NRnuJVxno/W/4xirqABKFerSQwN4XJmNvaOdswaPJgevQ4fZxV6g4GOnh56dDpLUEh1Swsh7u5Ut7TQo9dbYKwD/XyZ8dR4Cp5UkjhmJHeKiwE4ffQar61awI+HTjJj9HB+3HaQV1bOQ2ljg5VUyuY/j+Eb4s2tE3coyxEks4ePfMv+O+l0NHegUCpYsHw6A/38+PXkBSoLqhg1bTgTU5IshWfX+csoFf+jvfuNqaqO4zj+/kwUBUVEvKYoCMpI1LxoYKtmUIws57Q/brq1WavpA/WJtWbrQT1oZW3OleuPazNty5hlli2nqDnLjFSmkqhXr+LwpqDCpmaNBH49OEfjmndchTr33v1eT849Py7b97MffDnn/s45pFAx2c+WQ4dY8fYSqoNBBqWn8eYbi/mjtZW70tNvXICVmpzM6s3bebBoHLUNDcxdMIveSUl88t12yqb4KSgdRocxrKlyHvM9/+np7A4EeG56OWdaWih7uZC6UIg/r13Dn53N2q+r8OX4mHGvs7oRaGzkmUceojoYJKN/f/YcP37jasFdR4+SO2QIIzIyKJ7g3NCVOWAAw9LTkURDczM122qYVHQ3fXtfYm/tMYonFPDLwaOMzMsC4KcfD1DgH0NhVhYvvbiciWV+mi5d4q13l7BuQxUnUvvy6covaT7r/LekzyqX0dbRwdbaWoYOHMikUTnMmDqdpe+9Q0qfPiyYM4PU5GR2B5zlv/Lx452b0u6bSHUwSMvVq4QCIUrKJ+NLS2PvyZPkZGa6z7N0VoDqL1wguXcSDRebGTt8OCtWVbL4hdm0XmsjdOwMu445z8K80uL8cfFl+xiRkUFR3hheXb6KvIl5NP9+hZr600zOHUV6Sgo7645w7pSzIpLWrx9T7hlLns/HjvZ2DgROsnPd91Q8W0Fx8TiyBw9mf339jScmVX9bTf6YbIaMdH5GPvpqM3OnlXK5+TKNjc0UFYzmYX8JW2p+BmDDykqe2nA/waYmvqjew5PFJVH/PsbEkYKkC8BV4GJX741DmSRmLkjcbImaK8cY0+UTXGOiKQBI2h/NoU28SdRckLjZEjVXtOx1CpZlhbFNwbKsMLHUFLp8Hn2cStRckLjZEjVXVGLmMwXLsmJDLB0pWJYVAzxvCpKmSQpICkpa6nU93SXptKRfJR2UtN8dy5C0TdIJdzvI6zq7Imm1pPOSDncai5hD0ivuHAYkPepN1dGJkO11Sb+583ZQ0uOdvhY32XqCp01BUi/gfeAxoBCYK6nQy5p6SJkxxt9pWWspsMMYkw/scPdj3Rpg2k1jt8zhztkcYJz7PR+4cxur1vDvbAAr3HnzG2M2Q1xm6zavjxRKgKAx5pQx5i+gEpjpcU3/hZnAWvf1WmCWh7VExRjzA9By03CkHDOBSmNMqzGmHgjizG1MipAtkrjK1hO8bgpZwJlO+yF3LJ4ZoEpSjaT57thQY8w5AHfr86y67omUI1HmcZGkWvf04vqpUaJki5rXTUG3GIv35ZAHjDGTcE6JFkqa6nVB/4NEmMcPgdGAHzgHLHfHEyHbbfG6KYSAkZ32RwBnPaqlRxhjzrrb88BGnEPNJknDANztee8q7JZIOeJ+Ho0xTcaYdmNMB/Ax/5wixH222+V1U9gH5EvKldQH5wOdTR7XdMckpUoacP01UAEcxsk0z33bPOAbbyrstkg5NgFzJCVLygXygb0e1HfHrjc71xM48wYJkO12eXrrtDGmTdIiYCvQC1htjKnzsqZuGgpsdG/7TgLWGWO2SNoHrJf0PNAAzPawxqhI+hwoBTIlhYDXgGXcIocxpk7SeuAI0AYsNMa0e1J4FCJkK5Xkxzk1OA0sgPjL1hPsFY2WZYXx+vTBsqwYY5uCZVlhbFOwLCuMbQqWZYWxTcGyrDC2KViWFcY2BcuywtimYFlWmL8B9FZCZpNAFrgAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "testing success ratio: 0.77\n" + ] + } + ], + "source": [ + "sample_Total_tmp, training_input_tmp, test_input_tmp, class_labels_tmp = breast_cancer(\n", + " training_size=training_dataset_size, test_size=testing_dataset_size,\n", + " n=feature_dim, plot_data=True # ,gap=0.3 # breast_cancer使用時はgapパラメータを削除\n", + ")\n", + "training_input_pi_normalized_tmp = {k:(v+1)*np.pi for k,v in training_input_tmp.items()}\n", + "test_input_pi_normalized_tmp = {k:(v+1)*np.pi for k,v in test_input_tmp.items()} \n", + "\n", + "# Predict 50x50 mesh to visualize boundary\n", + "(train_for_pred_tmp, _), _ = split_dataset_to_data_and_labels(training_input_pi_normalized_tmp)\n", + "(test_for_pred_tmp, _), _ = split_dataset_to_data_and_labels(test_input_pi_normalized_tmp)\n", + "\n", + "feature_map = ZZFeatureMap(feature_dim, reps=history_q_tmp[\"rep\"])\n", + "svm_tmp = QSVM(feature_map, training_input_pi_normalized_tmp, test_input_pi_normalized_tmp, None,lambda2=history_q_tmp[\"lambda2\"]) # the data for prediction can be fed later.\n", + "svm_tmp.random_seed = seed\n", + "quantum_instance = QuantumInstance(backend, shots=shots, seed_simulator=seed, seed_transpiler=seed)\n", + "result_tmp = svm_tmp.run(quantum_instance)\n", + "print(\"kernel matrix during the training:\")\n", + "kernel_matrix_tmp = result_tmp['kernel_matrix_training']\n", + "img = plt.imshow(np.asmatrix(kernel_matrix_tmp),interpolation='nearest',origin='upper',cmap='bone_r')\n", + "plt.show()\n", + "\n", + "print(\"testing success ratio: \", result_tmp['testing_accuracy'])\n", + "\n", + "train_result_tmp = svm_tmp.predict(train_for_pred_tmp)\n", + "test_result_tmp = svm_tmp.predict(test_for_pred_tmp)" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(7, 7))\n", + "heatmap(mesh_predict_result_bc_opt)\n", + "scatter_data(train_for_pred_tmp, test_for_pred_tmp, train_result_tmp, test_result_tmp ,yshift=-0.084)\n", + "plt.show()\n", + "\n", + "# 赤がA、青がBのラベル。●が訓練データで、■がテストデータ" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "kEBJQyQtWL9B" + }, + "source": [ + "# prepare dataset_ad_hoc_data" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 315 + }, + "id": "f75-qaZHWL9B", + "outputId": "72ae6915-563c-447f-e8ed-83d7c1a2c622" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light", + "tags": [] + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 5.67 s, sys: 9.8 ms, total: 5.68 s\n", + "Wall time: 5.68 s\n" + ] + } + ], + "source": [ + "%%time\n", + "\n", + "training_dataset_size=10\n", + "testing_dataset_size=5\n", + "aqua_globals.random_seed = seed\n", + "sample_Total, training_input_unnormalized, test_input_unnormalized, class_labels = ad_hoc_data(\n", + " training_size=training_dataset_size, \n", + " test_size=testing_dataset_size, \n", + " n=feature_dim, gap=0.3, plot_data=True\n", + ")\n", + "(train_for_pred, _), _ = split_dataset_to_data_and_labels(training_input_unnormalized)\n", + "(test_for_pred, _), _ = split_dataset_to_data_and_labels(test_input_unnormalized)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 315 + }, + "id": "ChcnJ70YIdPc", + "outputId": "6417157e-7295-46f1-fd2f-fca62bcd5db5" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light", + "tags": [] + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 6.93 s, sys: 7 ms, total: 6.93 s\n", + "Wall time: 6.93 s\n" + ] + } + ], + "source": [ + "# %%time\n", + "# training_dataset_size=200\n", + "# testing_dataset_size=100\n", + "# aqua_globals.random_seed = seed\n", + "# sample_Total, training_input_unnormalized, test_input_unnormalized, class_labels = ad_hoc_data(\n", + "# training_size=training_dataset_size, \n", + "# test_size=testing_dataset_size, \n", + "# n=feature_dim, gap=0.3, plot_data=True\n", + "# )" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 315 + }, + "id": "rnox1LK3Q1L3", + "outputId": "1c48f65a-080b-4971-af65-196daaaffca1" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 7.48 s, sys: 4 ms, total: 7.48 s\n", + "Wall time: 7.48 s\n" + ] + } + ], + "source": [ + "%%time\n", + "# zero gap版\n", + "# training_dataset_size=100\n", + "# testing_dataset_size=50\n", + "aqua_globals.random_seed = seed\n", + "sample_Total, training_input_unnormalized, test_input_unnormalized, class_labels = ad_hoc_data(\n", + " training_size=training_dataset_size, \n", + " test_size=testing_dataset_size, \n", + " n=feature_dim, gap=0, plot_data=True\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "id": "1PONjSEUWL9H", + "scrolled": true + }, + "outputs": [], + "source": [ + "# Breast_cancerと同じスケール(-1, 1)でプロットするためにdatasetを規格化\n", + "(train_for_pred, _), _ = split_dataset_to_data_and_labels(training_input_unnormalized)\n", + "(test_for_pred, _), _ = split_dataset_to_data_and_labels(test_input_unnormalized)\n", + "dataset_array = np.vstack([train_for_pred, test_for_pred])\n", + "min_array, max_array = dataset_array.min(), dataset_array.max()\n", + "\n", + "training_input_normalized = {k:v for k,v in training_input_unnormalized.items()}\n", + "test_input_normalized = {k:v for k,v in test_input_unnormalized.items()} " + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "50" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "testing_dataset_size" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "2B6dMSzXWL9M" + }, + "source": [ + "## Classical SVM" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "2DUOO2UdtP0G" + }, + "source": [ + "### Without Hyper Parameter Tuning" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 299 + }, + "id": "FoHOqYx7WL9M", + "outputId": "1c9b6a23-3a1e-4be2-8813-3490f1f067bc" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "kernel matrix during the training:\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "testing success ratio: 0.67\n" + ] + } + ], + "source": [ + "result = SklearnSVM(training_input_unnormalized, test_input_unnormalized, mesh_list).run()\n", + "print(\"kernel matrix during the training:\")\n", + "kernel_matrix = result['kernel_matrix_training']\n", + "img = plt.imshow(np.asmatrix(kernel_matrix), interpolation='nearest', origin='upper', cmap='bone_r')\n", + "plt.show()\n", + "\n", + "print(\"testing success ratio: \", result['testing_accuracy'])" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "qw_dt-4oWL9R", + "outputId": "5643404a-b1b8-4131-bedc-39514ece029b" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "result: ['B', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'A', 'A', 'B', 'B', 'A', 'A', 'A', 'B', 'B', 'A', 'B', 'A', 'A', 'B', 'A', 'A', 'A', 'A', 'B', 'B', 'A', 'A', 'B', 'B', 'A', 'A', 'A', 'B', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'A', 'A', 'A', 'B', 'A', 'A', 'B', 'B', 'A', 'B', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'A', 'B', 'B', 'A', 'A', 'A', 'B', 'A', 'A', 'B', 'B', 'B', 'B', 'A', 'B', 'A', 'B', 'A', 'B', 'B', 'B', 'B']\n", + "truth : ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B']\n", + "{'accuracy': 0.67, 'precision': 0.67, 'recall': 0.68, 'specificity': 0.66, 'F1-measure': 0.67}\n" + ] + } + ], + "source": [ + "# モデル評価\n", + "\n", + "# 誤分類チェックのためにtraining/testデータを予測データとして利用\n", + "(train_for_pred, _), _ = split_dataset_to_data_and_labels(training_input_normalized)\n", + "(test_for_pred, _), _ = split_dataset_to_data_and_labels(test_input_normalized)\n", + "train_result = SklearnSVM(training_input_normalized, test_input_normalized, train_for_pred).run()\n", + "test_result = SklearnSVM(training_input_normalized, test_input_normalized, test_for_pred).run()\n", + "\n", + "eval_model(test_result[\"predicted_classes\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 446 + }, + "id": "caD7ziXUWL9Z", + "outputId": "8fdbda47-079b-40ea-e981-e3398795eee1" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(7, 7)) \n", + "heatmap(result[\"predicted_labels\"])\n", + "scatter_data(train_for_pred, test_for_pred, train_result[\"predicted_labels\"], test_result[\"predicted_labels\"],yshift=-0.014)\n", + "plt.show()\n", + "\n", + "# 赤がA、青がBのラベル。●が訓練データで、■がテストデータ" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "id": "O3Z19RXQrXep", + "outputId": "4eb329c1-c422-4575-fd59-267c13cbded6" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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4EIC71U+hibGnYgtcPzY3Mr2kvyWRBV5npNU4mlZNMl3z3g3gOWa+WbKf2f60go4FLvqDGsPnqCTT2MziyYt+GsfzyhUyknYRwM8S0c8AeDmAe4joOjNPVAQ23p9W8PTr7PjZDFXVp0nMtbKZgvah2s7iKZCk++02Lj26js1lf1dvMl3zPszMZ5m5A+DnAXw+O2GtIBF/KsxHDUGC+R6VVEYdSWm7CqPot9SC38UNRoQTXFFSzyeN3e3s7KDFxzrvWx7+q0Ri7SCJ+kklmG8TN+QaWoIMGemJayOLZxzRb+mXwrCPKE1aZv5LZn63qYsppCT+VJSPWrlLH2BXQocclVRXUtquimi7FpVmwomIAoQRK7xBiQTNoXKXvpKKGbp1yOvnl3M7xa+fv4TuhucdCepKSkGXdaNVEU1GPxkmnOVxGbq79MnomBotnk47xdelrqQMXPLZJixJW4TuLn1lOqYBi2d3cTOMSZpFh6QMWPLZpjmSVqZLH5Dk5aYSs0hHLauYoaLHGfRBVu7Mp/OaoqS0ipf5tCY44QcFiqszFFTMaJ/ax/rBJXQhkIrjDwODVRfyavK2T+2XL6ttVILIQTVm3IXv2Wlce+PyaetSpKPmWYkLKmbcOTiNtZag+11WjzPog6zcmc+2X7QKfcTevgKao9OWIdJRU6uwKBJJUKd5dziXSKcyPc6gD1JUk7e0S71tv6gqo1XOzp0OgNjbN8t0SNot4DWt2/nvpTruOONW4qJO8DJ6nEEfpKgmb2mXetGo+/JryFkVWe3t6znNl7Qj/e13Dz+EFVzFHUzqf3cOvg95v1baGWK4MYP++Xy9sXdhVc7iadAH2buwKr62IkTZLZprbVXWDwXPnJ1vdwqPqRzvHWheti/PVnOM9LcuNrGOS5jHyA/aGoz8osXSSsp/WmSJNWhZrezb9b0va1F0WAhx5IZpvvW4pNt3ZQtsiiNLbC0+CeAvcrb/JID36TtNZUkmqlx4EcC1nO0jD0DwkjZaj0eUSJXakUghWGKzPK2w3UW3uvEqD8Cx3WEdYWdCaaL5Oq2ETlkrEsmSJbZMKihJGdlrLon6Miqp8rr+HQr2HWk43klOQzRf0hbplDqkiO/6YR6y15yziugfLKHzuKWu6Hm+9TxCyITSSPMlLZBv5dUVO+wiQ6Uusteckbx9LCUW+OFI/zfdK1gml3gK6zM3StIqxeHq0kVDjLuVveaM5F3DlQmXGQCzOqVIgs5g+uozj9EYSZu1ApdG0ejURQ1kqKjqZ8o6bwUf865oFpmqriGqFdygiTo+LgsvyH2mMZJWOQ43RF3UNhmJrJSbrMOfWlArWFgPbApojKRVjsMNURd1wZhE/iaflauSX1L1Q4mcWsHZXr7TVgO7MZJWOQ43RF3UNbJV8g1XlhTVA2tUDewCGhMRlRfZVKT/+FYnuFE+RsN9dQ9bLbRyfrdWu7YLqPO7WvgNYPtZnp6IqPHIpmm2LHqB4cqSou7sWru2e0xjJi2QTNzBY+eSp/kAccK6oodklTPOXQBehJZA/9VeD/vtyRPst9tY7Y0p1yJDmM2EA0MhoDK9fF5ORP+XiP4fEX2NiH5Lz6kjjSWr+947+vfb0FIwfrPbxaX1dQzm5yfqgR0ZoVJDWLZA/cOC7SYmbt0C7gXISNp/A/A2Zn4DgPsBvJOIfqz+qSNBIiupukhWO0MAr8DJQJaahqnNbhfnBgPMDIc4NxhMWo1FhjCbCQcGE0lKXT6cWKpeHL28a/TnldWkihEn+xnfDFNeUtWVY7vliei4JQkHeVT+XRhMJJFtKj1DRE8DeA7A/2LmL9U/dSQo+kjyWatIKtstT4rCH21dh8HgHalJy8yHzHw/gLMA3kxEP5zdx3h/2og7UglbQVIByDdMmQz0F51vxeJ1lDSMq4NqA67vAPhLAO/MeW+dmReYeeGMbL94FwnWRfh2Pb5QliJXJqlkgzJUKNKtRef7mIHrEGEweKc0uIKIzgD4d2b+DhF9H4A/B/C7zPwZ0WekgisUyrTYCDzIhsYVXY8OggqmEAVLAG4C+EXlaBSvwzc7hs7gilcB+AIR/TWALyPRaYUTVhqRde1xOJFweaFx3peNsUWRjugigCX0Btw1kbEe/zWAN2o/s8iKNkTtRlZVmNsVKGa+FPB2iW8pciE34NaAu4ioIiuaAwknDIELPFVPOYWtqEWKDV1QhpAbcGvA3aTNs66NMfw2gZbZmu4nCo1bfvR6WPrnGKme3tnZQYv5KIVNOHFFkUTpxB3AjxDRitZo3qCJv1BxN2lT65rgCmwHf5eGxrmiRqyscgqbSFe8qHZe4/gm+S3jNgk+1VlzmkFPBH9bYrPbdT9Jx6mZTC7S04X6e1EkkckCblXISY6fFsxKWhm/Z44/ywsJ5wM1raTKKWxFi5spss4K8cSPb07SKpQopY8y8FFjV+IFlfTiHcXtGVZ7vRO+58JVTJ6VeJwpsc7moqvkrgbMSNoXkfhbQ2uX4QqR3iqKlRVtzxxrc62Ld1z8nLyeXtBIG4Af1llXDbjqZO1oltBmJO0exBE00e85SZHeKor1FW3POdZT196Kc+sDef0vrx0H4EdRcJ0F41SpmrVjQEKbkbRFK8HA/Z7aKdJb50/uDiCRhHkSRlekUB3rrElJ6DISqmrWjoG8WqvW4/12G5ceXcfmcnhGJmP5t0V663Xk65gia67OSKEq1lnTklDx+2n1xVYtuWsgr9aan/almZloFc6jSG8t0jHzJIzrSCHTktDl96uatWMgr9bMpM084PbbbfzCtWtxwuZRprd2IS47mpUwPyPYT7RdN6Zjgm3n5WZZBPAYkhXFY5DTSQ3k1ZqZtLNoht/VhqVSpLeOb5eVMJ8V7CfarhvTkjDESCgDebVGdNqbc28CbW+bOLQ9bFkqRRk0PcV9APfZL7LXWYcQI6E0N2hrVN1jrdiyVMpID1kJ41qnDVESBkhjGnBpx6bUkpEeMvvYkHRlhCgJAyNKWhEWpJZUrqusXt3H8eogtTZHSddIoqQVYVhqSbVrlNWrs/sdjl1rwYRV9WOGmlfcNKKkFWFYP5PKdZXVq6e8ZtK0ESVtEQb1M6lcV1m92rXVOGKVKGllMOCvlcp1ldWrXVuNPWSp39ef++pJPm2ctGXk1E1q/+I++ltLtQ4r1a5RNgLIUqRQKDWWUnuB1o51BrvgqWJ20rrKfdRJjr545+A01m5cqfXklapJJatXu/CPbkGtyqNFjNSwNtgFT5XSDgOVDrqwwPiVbb9q5VZFUF2fMMTw1IxUhwTAT8trZWmZ0x1iv932Jlz1sNVCS/S7rvpsKfpamp5X2joMENFriegLRPTMqKn0ZakraIpFU1ROqbXrzZPXOjlSp7DKo2WkalirrpIMdsFTRWZ5/BKAX2Pm/wjgxwC8n4heX/qpwCyaWX0t/bt+fhntU/sT+7ZP7aM3XM0/kCBPMhR9sIi0DvXw2/nXL6zyaJk8e8FEZk0V/dRgFzxVSictM/8TM39l9P/vAXgGwGtKj9wQi2Z3cRPrD13C/OwAhCHmZwdYf+gSurOb+R+YgsocylUeLZPaC4SZNVX0U4Nd8FRR8tMSUQdJX58TTaWJaAVpvM7cHHAF7uNgNdFd3ER3MWeSVqlk0ACUqzw6YLPbxQY9mP9m1WoSmrN1qiI9aYnoFQD+GMAjzPzd7PvMvI7EzJQYolLFfQ3JkngOpWF13rGF5Om7h2RNMkTyhL2Ayaf2Xs72BpMam66srWFudxe7c3NY7fW8MEJJMYv8CRrIKknKekxEdwH4DIDPMfNHSvdfWGB4nk9bqlfm9c9NMdC31kfrcugIx1ihN7JNdFqPCcAnADwjM2EbQ57ekzItVuKQUIkJWATwAI5//a3R60BWSTLW40UA7wHwNiJ6evRnq+qQO8r0m1i/2R8E3f6EUWtbAL6I49pbw9FrR2GJqshYj/+KmYmZf4SZ7x/92ao65I4y/SYQ/WcqEMQErN24kr+/R9FNVZiaLB9l32henduUKbESB4OoCeCewAVloBaxTaZi0i71+8AjULPyZq3DqfW4hcmnciB6UKOZQ27R97lZwWwO3Hrc+CyfWhkf43VufwmJhE31IIdZHpEMgiyn3gVB1JpH0U1VaPyk1ZbxEbge1GgEWU65ATGAV9FNVWjk8nhCfxX1ylHVXwLXgxpPXpWRjYL9PYluqoLfklbke1PxyenKzvAoyyMy3fg7aQW+Nzws2C6auLr0l8D1oEhz8HfSivJx1wXbRamcKvpLUY6lZ3qQVM1kHWRXNQ8j/GokgeOvTitKzRR1mStK5ZTRX2Q6dnuiB0nVTNZBXt3lj4+9b7MTe0OZiDn/yILUZ/yVtKLUTFE/1zqpnFsAHkcw1mGpmslVGZesF3FyVZMlxGokgePvpBVVGFwRbK+ayplKWFEPWA+tw1I1k6uQtSOIVjVZ/ChYMTWYmbQvoL7eI6ow+DHBdpnlWZ7OWpTNAxixDve3ltC5fAut7iE6l28pl2NVqhyhYmnPsyPIYLJghc2Knp7UNS7DTDXGmQXGcCyf1nAVRqm4YlEOZdGENZBj2d9awsoTV3Hn4PTRtvapfdx58rT0/cnqtICgGmJWJwWKx0JQebIQk2Orev0ZlOLNLeXYFuZNLyyAt7fr59NWIrvU9EHvEUU0ie5AC/UHLOfJvXbjysSEBZI6yir3R6pmMqBeEbPIjpCuan4Z9uor26zoGVDEmxlJSwsMZCpXEMR6Y02knqhFP6ysxNXxhBU8uVsHh+C8J4WJ+yOSnKJzPYxJ63DKLyNRS2yjev0ZlCSthbrGgM+SNg8VvadMj8m8L6UTFkU0mfC/Cp7ccy2B1caEXqhaEVOUJe0qe9pmRc+AIt7M+GnTNLYUFetuWU/WnPdXnriavC0KEAfy82PTiCYT/leB1bk3XMXKqRydtnc6/wN1UO2xa7hWtWpOc/98vv6/fv4SuhsFY12Fot+HZ5iRtPOorveU6TFFvXWKsB3RJHhCd2fz6yiX3p8qVlTVHj+e1aoW1pwuejhXxbOItyLM9fKpWo2xTI8p6q3TF0VeOEDRGlmo69S0okpj+DyhdlbQiQ6d1r8wRkEVgqOnvWqVAhXG6xyPV7gQbS9CZ11k0erjIpKSe7pqSjehVnWWKmPnOf5N2jI9LOf99ql9cZUCWUSxx19HUqmvKCZZhC5duSwOW2cMcF5eqgDvJadMPLlhTNSz9i+MsUwPy3lfi54j8tN9XrDdpP8uq7++UuIzVf2XvvUQHvdtvwf1opN89b3WvOf+SVqg/GmfeV+LJVEUY2w7JjnPen4XyqO3AHUrb5ml3jZZyZitxwWoSUgfq40U3XNJZDoMPElEzxHR36peX1DoqmRRlzz99d8B3I3j1YWuTCffegjr7urgo+9Vwz2XkbSfAvCHAP5I/rBmMaJLFdU5zmLSfyeSli/gWEKIrLyqmU6KflnjOqzmrg7Lj17Pj9F+dB2by/lLCd3fMXs82hXouLuQfpjIdBj4IpKfTLNJ/XRFschANf+dSvaIjK+0QO9XqmjhmV9WqauDxD2VjtG2iYZ7rs0QRUQrRLRNRNt4/nldh7XLIsQ67BCJhHsM6hNWpeu4KI84K0W7AAaj6xrgaMJeXVlBZ2cHLeajihbCiSt7Llvk1eFKqdjJfbPbxbnBADPDIc4NBu7bcWq459omLTOvM/MCMy/gzBldh7WPbj1I1YKpGsU0hnJFixrnMkI2Kkm0utFpFa4Sx14HDffcT+uxS3THoFaxYCr4SsepVNGi4rmMIePb1mUVrhrHXpea99w/P61rdMegCiT0YH4etMxHfzqQqmhR4CPkDQK/n8BnCEwEnhn9eybZ7g26VkOCOPYH/+eG1nEZhzdo4q8KMi6fTQBPAXgdEd0mov9a6UwhsYjjHj6qOmwWQb3k1Z5+xXG118N+e1Jh2m+3j88lqiWdTtysruhr3yJdNagNZzWZQsZ6vMTMr2Lmu5j5LDN/wsaFNQaB5DZhECm1lpb5CHX7SU2hazXkm/VckqjT2sBEvq6AzW5X/EAokyya/aRG0XFPVfONPSGISXu09g84Y0NVPzIRyNC59xZ29jonts/fO8Bg45y4b2uKh1Uc+ltLWLtxBbt7c+D5lloKZcGNAAAG3ElEQVRWkgdZTePjvCAZDRGOIUrV3xk5Qe/CKtqn9ie2TWRIyfpJPSGtbLmz10nqbpX1dcojx9/tO+FMWl8zNgKitBKErJ8U8KJGcF5lSy8qfxomiOUxAD8zNgKku7hZ7IOU0RU9yFMFgN09gcXIc+tvXcKZtCJ9yxM9q65PT5sOa0PvL1r1WJy0c7O7uTq679bfumMUzvI49octx5be78mqJ09H9976q2GMwpG0MjWXArYua8GWBMyWyB3fbpF0mV/ZeuyCojG6W+4Q4UxaoFjf8kTPcootCViUCWWZcR3dRNihdorGKORJW0m/MyxlgvhB2NL7Zc5jYdUTxJhk0TBG4ei0ZXiiZznFlt5fdp7oUxejYYyaM2l9rAdkG1tV8svOE7hPfbz6h3YftIYx8nJ5XImAerEYxVacc9F5Al71nOj9a8I2UnOMnExaIwXCdFb0hyV9qY+juNfOvbfQu7BaPfl6XIdMrbuuLOg++tTH7nVRjPHGIw+ezIRy4IMuojmSFrCaTVObTNWEnb1O9aoJuusF18W3VY9KfecAVgnN0WlDQ1A1obT7Xx6+5cHa0q1lUak1HIBtpFmSNovPwRaC+FhhPG0RPubB+rTqUalQ4dsqIQcjk/ZNL9zEtuvmTIrBFtZ9fjq7/wWYB1uFymNU1olxHM22ERP4tTzWme6l4Hboby2ZbUKVV0wtp/7tUW6r6n2okAfb31pC5/IttLqH6Fy+Zb50qEtUaw3rrBFmAH8mrW6HvKRBIU2kFhY7q4uomBowUf/2KLcVm+r3QSUPFieTx1MjWGMnrm/1nWtipBP8wn3E27+t+KHLELsJHqtwEZLH61zOL8GCeSSVDOrSQf7SLHP8IzeY7vuQd0mC7zw/O8DgsXP1Dm7QjqBFhSlx/bjsubvwG8D2sxxQJ3jdpvYSg8LRD+BBwed1JVKrlum04HIQGbsqGcHG0Zy0od3O4Ftrz4r4szzWbWqXdTuYLqOpevyq90FBDxYZuyoZwcbxPXxRxfXjMVKTlojeSUT/QET/SES/buRKTAS7yxgUTDehUj1+lfugaA8oLfBWFd8DEwItTp5FpsPADICPAngXgNcDWCKi12u/ElcOedNGCtXjV7kPihKutMBbVXwKTMiz2AdanDxLqSGKiN4C4L8x80+PXn8YAJj5d0SfqWSIMozvuZe1DCBFD5iRFdzG9z8RbI9RE2fbPWFFTbcvAriWs33sIRqCIUpmefwaAN8Ye317tC3iC55IOG+aOIt018+iEa4fGetx3sw/8dgmohWMbHFzDYnACQaPQu8K25LYokh39a21ZwVkJO1tAK8de30WwLeyO403lT4jWesmognfAvRd0xDdVYSMTvsyAF8H8HYA3wTwZQDLzPw10WcWFhZ4e3tb53VGItL0+8DKCjCmWqPdBtbXAdeLgCKI6CYzL5TtJ9Pq8iUAHwDwOQDPALhRNGEjEdd0u8kEnZ8HiJJ/fZ+wKpgJY4ySNhJRRpukjUQifhEnbSQSGHHSRiKBESdtJBIYcdJGIoERJ20kEhhx0kYigREnbSQSGEaCK4joeSTFPMqKezad+P2n+/sDavdgnpnPlO1kZNIeHZxoWybCo6nE7z/d3x8wcw/i8jgSCYw4aSORwDA9adcNH9934vePaL8HRnXaSCSin7g8jkQCw8iktVIn2WOI6LVE9AUieoaIvkZEl11fkwuIaIaIvkpEn3F9LbYhou8nok8T0d+Pfgdv0XZs3cvjUZ3krwN4B5L6Ul8GsMTMf6f1RB5DRK8C8Cpm/goR3Q3gJoCfm6Z7AABE9KsAFgDcw8zvdn09NiGiawD+NzM/QUSnALSZ+Ts6jm1C0r4ZwD8y87PMfADgvwP4zwbO4y3M/E/M/JXR/7+HpEzPVJWdJaKzAM7juJvP1EBE9wB4AMAnAICZD3RNWMDMpI11kscgog6ANwL4ktsrsc6jAD4EYOj6QhxwH4DnAXxypB48QUSndR3cxKSVqpM8DRDRKwD8MYBHmPm7rq/HFkT0bgDPMfNN19fiiJcB+FEAH2fmNwLYB6DNtmNi0krVSW46RHQXkgnbZ+b/4fp6LLMI4GeJaIBEPXobEV13e0lWuQ3gNjOnq6tPI5nEWjAxab8M4AeJ6NxIAf95AH9q4DzeQkSERJ95hpk/4vp6bMPMH2bms8zcQTL+n2dmUSfgxsHM/wzgG0T0utGmtwPQZoTU3lSamV8iorRO8gyAJ6ewTvIigPcA+Bsienq0bZWZP+vwmiJ2+SCA/khwPQvgfboOHCOiIpHAiBFRkUhgxEkbiQRGnLSRSGDESRuJBEactJFIYMRJG4kERpy0kUhgxEkbiQTG/wdRcLR8IwB7PgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "heatmap(result[\"predicted_labels\"])\n", + "plot_train_A = training_input_unnormalized[\"A\"]#/np.pi - [1,1]\n", + "plot_train_B = training_input_unnormalized[\"B\"]#/np.pi - [1,1]\n", + "plt.scatter(plot_train_A[:,0],plot_train_A[:,1],c=\"red\")\n", + "plt.scatter(plot_train_B[:,0],plot_train_B[:,1],c=\"blue\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cyOjSO0QtbxS" + }, + "source": [ + "### With Hyper Parameter Tuning" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "wa2CXg0Ktlpw", + "outputId": "6682eb34-6fc3-49a6-a4b7-dc1aaaa55503" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "sigma: 0.1996383184555079, lambda2: 9.398534320413074 \n", + "accuracy mean: 0.6849999999999999 \n", + "sigma: 0.005400032833358021, lambda2: 2.5898673297026282 \n", + "accuracy mean: 0.45999999999999996 \n", + "sigma: 0.1327319518426118, lambda2: 0.03779007473269011 \n", + "accuracy mean: 0.535 \n", + "sigma: 0.0024132593624641967, lambda2: 0.004659404373567989 \n", + "accuracy mean: 0.45999999999999996 \n", + "sigma: 7.586213275530738, lambda2: 1.8045234358169842 \n", + " 16%|█▌ | 4/25 [00:03<00:20, 1.03trial/s, best loss: 0.31500000000000006]" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "job exception: ARPACK error -1: No convergence (1501 iterations, 0/1 eigenvectors converged)\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 16%|█▌ | 4/25 [00:05<00:31, 1.49s/trial, best loss: 0.31500000000000006]\n" + ] + }, + { + "ename": "ArpackNoConvergence", + "evalue": "ARPACK error -1: No convergence (1501 iterations, 0/1 eigenvectors converged)", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mArpackNoConvergence\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/opt/anaconda3/lib/python3.7/site-packages/cvxpy/expressions/constants/constant.py\u001b[0m in \u001b[0;36mextremal_eig_near_ref\u001b[0;34m(A, ref, low)\u001b[0m\n\u001b[1;32m 242\u001b[0m \u001b[0msigma\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m-\u001b[0m\u001b[0mref\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mlow\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0mref\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 243\u001b[0;31m \u001b[0mev\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mSA_eigsh\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msigma\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 244\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mArpackError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/opt/anaconda3/lib/python3.7/site-packages/cvxpy/expressions/constants/constant.py\u001b[0m in \u001b[0;36mSA_eigsh\u001b[0;34m(sigma)\u001b[0m\n\u001b[1;32m 237\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mSA_eigsh\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msigma\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 238\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0meigsh\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mA\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mk\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msigma\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0msigma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mreturn_eigenvectors\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 239\u001b[0m \u001b[0;31m# Run eigsh in shift-invert mode, since we're particularly interested in finding\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/.local/lib/python3.7/site-packages/scipy/sparse/linalg/eigen/arpack/arpack.py\u001b[0m in \u001b[0;36meigsh\u001b[0;34m(A, k, M, sigma, which, v0, ncv, maxiter, tol, return_eigenvectors, Minv, OPinv, mode)\u001b[0m\n\u001b[1;32m 1689\u001b[0m \u001b[0;32mwhile\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mparams\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconverged\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1690\u001b[0;31m \u001b[0mparams\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0miterate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1691\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/.local/lib/python3.7/site-packages/scipy/sparse/linalg/eigen/arpack/arpack.py\u001b[0m in \u001b[0;36miterate\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 569\u001b[0m \u001b[0;32melif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minfo\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 570\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_raise_no_convergence\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 571\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/.local/lib/python3.7/site-packages/scipy/sparse/linalg/eigen/arpack/arpack.py\u001b[0m in \u001b[0;36m_raise_no_convergence\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 375\u001b[0m \u001b[0mk_ok\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 376\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mArpackNoConvergence\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mnum_iter\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mk_ok\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mev\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvec\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 377\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mArpackNoConvergence\u001b[0m: ARPACK error -1: No convergence (1501 iterations, 0/1 eigenvectors converged)", + "\nDuring handling of the above exception, another exception occurred:\n", + "\u001b[0;31mArpackNoConvergence\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 10\u001b[0m \u001b[0mhistory_g\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 11\u001b[0m fmin(functools.partial(score_rbf,train_in=training_input_unnormalized),\n\u001b[0;32m---> 12\u001b[0;31m space, algo=tpe.suggest, trials=trials, max_evals=max_evals, rstate=rstate)\n\u001b[0m\u001b[1;32m 13\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 14\u001b[0m \u001b[0mhistory_g\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msorted\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mhistory_g\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkey\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mlambda\u001b[0m \u001b[0mtpl\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mtpl\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/.local/lib/python3.7/site-packages/hyperopt/fmin.py\u001b[0m in \u001b[0;36mfmin\u001b[0;34m(fn, space, algo, max_evals, timeout, loss_threshold, trials, rstate, allow_trials_fmin, pass_expr_memo_ctrl, catch_eval_exceptions, verbose, return_argmin, points_to_evaluate, max_queue_len, show_progressbar, early_stop_fn, trials_save_file)\u001b[0m\n\u001b[1;32m 520\u001b[0m \u001b[0mshow_progressbar\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mshow_progressbar\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 521\u001b[0m \u001b[0mearly_stop_fn\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mearly_stop_fn\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 522\u001b[0;31m \u001b[0mtrials_save_file\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mtrials_save_file\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 523\u001b[0m )\n\u001b[1;32m 524\u001b[0m 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\u001b[0mreturn_argmin\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/.local/lib/python3.7/site-packages/hyperopt/fmin.py\u001b[0m in \u001b[0;36mexhaust\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 354\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mexhaust\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 355\u001b[0m \u001b[0mn_done\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtrials\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 356\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrun\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmax_evals\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mn_done\u001b[0m\u001b[0;34m,\u001b[0m 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directly\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 292\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mserial_evaluate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 293\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 294\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtrials\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrefresh\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/.local/lib/python3.7/site-packages/hyperopt/fmin.py\u001b[0m in \u001b[0;36mserial_evaluate\u001b[0;34m(self, N)\u001b[0m\n\u001b[1;32m 168\u001b[0m \u001b[0mctrl\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mbase\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mCtrl\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtrials\u001b[0m\u001b[0;34m,\u001b[0m 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45\u001b[0m \u001b[0;34m@\u001b[0m\u001b[0mabstractmethod\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/.local/lib/python3.7/site-packages/qiskit/aqua/algorithms/classifiers/sklearn_svm/sklearn_svm.py\u001b[0m in \u001b[0;36m_run\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 129\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 130\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_run\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 131\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minstance\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrun\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 132\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 133\u001b[0m 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\u001b[0mArpackNoConvergence\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mnum_iter\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mk_ok\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mev\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvec\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 377\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 378\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mArpackNoConvergence\u001b[0m: ARPACK error -1: No convergence (1501 iterations, 0/1 eigenvectors converged)" + ] + } + ], + "source": [ + "space = {\n", + " \"sigma\": hp.loguniform(\"sigma\", np.log(0.001), np.log(10)),\n", + " \"lambda2\": hp.loguniform(\"lambda2\", np.log(0.001), np.log(10))\n", + "}\n", + "\n", + "max_evals= 25\n", + "trials = Trials()\n", + "rstate = np.random.RandomState(seed)\n", + "\n", + "history_g = []\n", + "fmin(functools.partial(score_rbf,train_in=training_input_unnormalized),\n", + " space, algo=tpe.suggest, trials=trials, max_evals=max_evals, rstate=rstate)\n", + "\n", + "history_g = sorted(history_g, key=lambda tpl: tpl[1])\n", + "best = history_g[0]\n", + "print(f\"best prames:{best[0]}, score:{best[1]:.4f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "_r2ZdnP5twbV", + "outputId": "4ac5dad7-dca9-486e-f025-f1c8970bd6db" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "result: ['B', 'B', 'B', 'A', 'A', 'B', 'A', 'B', 'B', 'B']\n", + "truth : ['A', 'A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'B']\n", + "{'accuracy': 0.6, 'precision': 0.67, 'recall': 0.4, 'specificity': 0.8, 'F1-measure': 0.5}\n" + ] + } + ], + "source": [ + "# evaluate test data with tunned hyper parameter\n", + "lambda2 = history_g[0][0][\"lambda2\"]\n", + "sigma = history_g[0][0][\"sigma\"]\n", + "gamma = 0.5/sigma**2\n", + "\n", + "result_ker = SklearnSVM(training_input_unnormalized, test_input_unnormalized,None, gamma=gamma).run()\n", + "\n", + "df_tr = make_df(training_input_unnormalized)\n", + "data_tr = df_tr.iloc[:,:2].values\n", + "label_tr = df_tr[\"label\"].astype(float)*(2)-1\n", + "\n", + "df_test = make_df(test_input_unnormalized)\n", + "data_test = df_test.iloc[:,:2].values\n", + "\n", + "# create model\n", + "a, b = get_lagrange_param(t=label_tr, kernel=result_ker['kernel_matrix_training'],C=lambda2,print_mode=False)\n", + "# predict \n", + "kernel_func = functools.partial(gaussian_kernel, sigma=sigma)\n", + "pred_score_train = array([model_rbf(row, a, label_tr, data_tr, b, kernel_func) for row in data_tr])\n", + "pred_score_test = array([model_rbf(row, a, label_tr, data_tr, b, kernel_func) for row in data_test])\n", + "pred_label_train = (pred_score_train > 0)*1\n", + "pred_label_test = (pred_score_test > 0)*1\n", + "\n", + "df_test[\"pred_g\"] = pred_score_test\n", + "# \"Accucary\", df_test.apply(lambda x: (x[\"label\"] ==0 and x[\"pred_g\"] < 0) or (x[\"label\"] ==1 and x[\"pred_g\"] > 0), axis=1).sum()/len(df_test)\n", + "eval_model(df_test[\"pred_g\"].apply(lambda x: \"A\" if x < 0 else \"B\").tolist())" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 66, + "referenced_widgets": [ + "714c2b27f8854c0f9e8773b365903d6c", + "498681ae578a4f36b87c970ee5b2b15b", + "6880780fc71144cc96946ff24db37ba4", + "c5be4bf2d23d4971901ba91f719be202", + "7613baeb70854361947f0b011e398458", + "01173ae4fea44bc4b2fe2e5e60c022f5", + "ea2d573687d34ad1b36cdfe2410984f7", + "3cf99c36b53f4375beeaec8d2810a4b0" + ] + }, + "id": "EEHoCYZ6t8Wl", + "outputId": "c572d966-ad85-4671-d50f-a480527c4cc8" + }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "714c2b27f8854c0f9e8773b365903d6c", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatProgress(value=0.0, max=2601.0), HTML(value='')))" + ] + }, + "metadata": { + "tags": [] + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "pred_score_mesh = array([model_rbf(array(row), a, label_tr, data_tr, b, kernel_func) for row in tqdm(mesh_list)])\n", + "pred_label_mesh = np.array([x>0 for x in pred_score_mesh])" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 446 + }, + "id": "4pYg6-xquHT6", + "outputId": "58ebf25a-0fa9-4a2c-aa2f-1ec2fc67e075" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light", + "tags": [] + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(7, 7))\n", + "heatmap(pred_label_mesh)\n", + "scatter_data(train_for_pred, test_for_pred, pred_label_train, pred_label_test ,yshift=-0.014)\n", + "plt.show()\n", + "\n", + "# 赤がA、青がBのラベル。●が訓練データで、■がテストデータ" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "hKWzt5ppWL9j" + }, + "source": [ + "## Quantum SVM" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "pAE_e4pIutIA" + }, + "source": [ + "### Without Hyper Parameter Tuning" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "a0Q6MGWxWL9j", + "outputId": "05244fa9-ee39-4087-aae8-e45a00342483" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1min 47s, sys: 1.48 s, total: 1min 49s\n", + "Wall time: 3min 14s\n" + ] + } + ], + "source": [ + "%%time\n", + "backend = BasicAer.get_backend('qasm_simulator')\n", + "feature_map = ZZFeatureMap(feature_dim, reps=2)\n", + "svm = QSVM(feature_map, training_input_unnormalized, test_input_normalized, None)# the data for prediction can be fed later.\n", + "svm.random_seed = seed\n", + "quantum_instance = QuantumInstance(backend, shots=shots, seed_simulator=seed, seed_transpiler=seed)\n", + "result = svm.run(quantum_instance)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 299 + }, + "id": "sKxpQZtLWL9p", + "outputId": "337b9a72-6c22-4ae9-8668-9a46f0451515" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "kernel matrix during the training:\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "testing success ratio: 0.9\n" + ] + } + ], + "source": [ + "print(\"kernel matrix during the training:\")\n", + "kernel_matrix = result['kernel_matrix_training']\n", + "img = plt.imshow(np.asmatrix(abs(kernel_matrix)),interpolation='nearest',origin='upper',cmap='bone_r')\n", + "plt.show()\n", + "\n", + "print(\"testing success ratio: \", result['testing_accuracy'])" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "QD8U15wAWL9u", + "outputId": "18e227c1-f8a8-4d6b-d675-c80763239f49" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "result: ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'A', 'B', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B']\n", + "truth : ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B']\n", + "{'accuracy': 0.9, 'precision': 0.88, 'recall': 0.92, 'specificity': 0.88, 'F1-measure': 0.9}\n", + "CPU times: user 40.9 s, sys: 40 ms, total: 41 s\n", + "Wall time: 1min 27s\n" + ] + } + ], + "source": [ + "%%time\n", + "train_result = svm.predict(train_for_pred)\n", + "test_result = svm.predict(test_for_pred)\n", + "\n", + "# モデル評価\n", + "eval_input = [\"A\" if x == 0 else \"B\" for x in test_result]\n", + "eval_model(eval_input)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "6LpcozbXvAvN", + "outputId": "3cc02394-ec44-4088-ecc3-990f0a8644b4" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "['A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'B',\n", + " 'B',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'B',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'B',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'A',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'A',\n", + " 'B',\n", + " 'A',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'A',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'A',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'A',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'A',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B',\n", + " 'B']" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\n", + "eval_input" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "V1FnXLvdDnYc", + "outputId": "bef9b069-c43f-4af4-e672-0bb8eb20d01f" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.89\n" + ] + } + ], + "source": [ + "cnt=0\n", + "for i in range(len(eval_input)):\n", + " if i <= len(eval_input)/2 and eval_input[i] == \"A\":\n", + " cnt+=1\n", + " elif i > len(eval_input)/2 and eval_input[i] == \"B\":\n", + " cnt+=1\n", + "\n", + "print(cnt/len(eval_input))" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000, + "referenced_widgets": [ + "d6c853835e9b40b1a2b73569d460e140", + "c605660be7e44aabbd44c9f97d31615f", + "95ff77d545164917977da786c58fefe1", + "aed951468f8e4ff089acd167699084d1", + "b0e2e6e2ca8c4f14992dffbfb95fbb37", + "1859624f6b0e4a399ce0874c8187eda4", + "f96614fac8744b9199fc88b417f8ca93", + "417a60afe101464cb95474d57a664a67" + ] + }, + "id": "_vTuxhQseJEi", + "outputId": "925a3216-9cad-4ec9-8f9a-7865207f45d1" + }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "96d6e481b4564745a79660a55ebf2903", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(IntProgress(value=0, max=153), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "epoch 0 has done [0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1]\n", + "epoch 1 has done [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1]\n", + "epoch 2 has done [1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1]\n", + "epoch 3 has done [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1]\n", + "epoch 4 has done [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1]\n", + "epoch 5 has done [1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 6 has done [1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 7 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1]\n", + "epoch 8 has done [1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0]\n", + "epoch 9 has done [1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 10 has done [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1]\n", + "epoch 11 has done [1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0]\n", + "epoch 12 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0]\n", + "epoch 13 has done [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1]\n", + "epoch 14 has done [1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0]\n", + "epoch 15 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0]\n", + "epoch 16 has done [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1]\n", + "epoch 17 has done [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0]\n", + "epoch 18 has done [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n", + "epoch 19 has done [0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1]\n", + "epoch 20 has done [1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0]\n", + "epoch 21 has done [0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n", + "epoch 22 has done [0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 23 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0]\n", + "epoch 24 has done [1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0]\n", + "epoch 25 has done [0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 26 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1]\n", + "epoch 27 has done [1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 28 has done [0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0]\n", + "epoch 29 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1]\n", + "epoch 30 has done [1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 31 has done [0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0]\n", + "epoch 32 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1]\n", + "epoch 33 has done [0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 34 has done [0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0]\n", + "epoch 35 has done [0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n", + "epoch 36 has done [1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 37 has done [0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1]\n", + "epoch 38 has done [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 39 has done [1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 40 has done [1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1]\n", + "epoch 41 has done [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 42 has done [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 43 has done [1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n", + "epoch 44 has done [0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1]\n", + "epoch 45 has done [1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 46 has done [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0]\n", + "epoch 47 has done [0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1]\n", + "epoch 48 has done [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0]\n", + "epoch 49 has done [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 50 has done [0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n", + "epoch 51 has done [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0]\n", + "epoch 52 has done [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0]\n", + "epoch 53 has done [0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n", + "epoch 54 has done [1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0]\n", + "epoch 55 has done [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n", + "epoch 56 has done [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1]\n", + "epoch 57 has done [1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0]\n", + "epoch 58 has done [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0]\n", + "epoch 59 has done [0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1]\n", + "epoch 60 has done [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n", + "epoch 61 has done [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 62 has done [0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 63 has done [0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n", + "epoch 64 has done [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 65 has done [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 66 has done [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1]\n", + "epoch 67 has done [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1]\n", + "epoch 68 has done [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 69 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n", + "epoch 70 has done [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1]\n", + "epoch 71 has done [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1]\n", + "epoch 72 has done [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 73 has done [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1]\n", + "epoch 74 has done [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1]\n", + "epoch 75 has done [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 76 has done [1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n", + "epoch 77 has done [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0]\n", + "epoch 78 has done [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 79 has done [1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1]\n", + "epoch 80 has done [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n", + "epoch 81 has done [1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0]\n", + "epoch 82 has done [0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n", + "epoch 83 has done [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0]\n", + "epoch 84 has done [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0]\n", + "epoch 85 has done [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n", + "epoch 86 has done [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 87 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0]\n", + "epoch 88 has done [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1]\n", + "epoch 89 has done [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 90 has done [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0]\n", + "epoch 91 has done [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1]\n", + "epoch 92 has done [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 93 has done [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0]\n", + "epoch 94 has done [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1]\n", + "epoch 95 has done [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 96 has done [1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0]\n", + "epoch 97 has done [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0]\n", + "epoch 98 has done [1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n", + "epoch 99 has done [1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0]\n", + "epoch 100 has done [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 101 has done [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 102 has done [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0]\n", + "epoch 103 has done [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0]\n", + "epoch 104 has done [1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 105 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0]\n", + "epoch 106 has done [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 107 has done [1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1]\n", + "epoch 108 has done [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0]\n", + "epoch 109 has done [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n", + "epoch 110 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1]\n", + "epoch 111 has done [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 112 has done [0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0]\n", + "epoch 113 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1]\n", + "epoch 114 has done [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1]\n", + "epoch 115 has done [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1]\n", + "epoch 116 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1]\n", + "epoch 117 has done [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1]\n", + "epoch 118 has done [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0]\n", + "epoch 119 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1]\n", + "epoch 120 has done [1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n", + "epoch 121 has done [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0]\n", + "epoch 122 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1]\n", + "epoch 123 has done [1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 124 has done [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0]\n", + "epoch 125 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 126 has done [1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 127 has done [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0]\n", + "epoch 128 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 129 has done [1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 130 has done [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 131 has done [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1]\n", + "epoch 132 has done [0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0]\n", + "epoch 133 has done [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]\n", + "epoch 134 has done [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0]\n", + "epoch 135 has done [0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0]\n", + "epoch 136 has done [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1]\n", + "epoch 137 has done [1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0]\n", + "epoch 138 has done [0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0]\n", + "epoch 139 has done [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1]\n", + "epoch 140 has done [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0]\n", + "epoch 141 has done [0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 142 has done [1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1]\n", + "epoch 143 has done [1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1]\n", + "epoch 144 has done [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 145 has done [1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1]\n", + "epoch 146 has done [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1]\n", + "epoch 147 has done [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", + "epoch 148 has done [1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1]\n", + "epoch 149 has done [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0]\n", + "epoch 150 has done [1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1]\n", + "epoch 151 has done [1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1]\n", + "epoch 152 has done [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0]\n", + "\n" + ] + } + ], + "source": [ + "# 時間かけてでもjupyter上で実行したい場合は以下のコードで実行可能\n", + "(iter_num, input_size) = (51*3, 17)\n", + "mesh_list_iter = np.array(mesh_list).reshape(iter_num, input_size, feature_dim)\n", + "\n", + "mesh_predict_tmp = []\n", + "for i, iter_list in enumerate(tqdm(mesh_list_iter)):\n", + " tmp_list = svm.predict(iter_list)\n", + " mesh_predict_tmp.append(tmp_list)\n", + " print(\"epoch \", i, \" has done \",list(tmp_list))\n", + "\n", + "# print(mesh_predict_tmp)\n", + "mesh_predict_result_ad = np.array(mesh_predict_tmp).reshape(-1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "O3d2l_zEdWRz" + }, + "outputs": [], + "source": [ + "# import pickle\n", + "# with open(\"drive/MyDrive/QML/bc_ad.pkl\",\"wb\") as f:\n", + "# pickle.dump(mesh_predict_result_ad,f)" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 446 + }, + "id": "BkAEu17MWL9_", + "outputId": "0b5bcbc9-ba47-4200-adad-f746e00329d5" + }, + "outputs": [ + { + "data": { + "image/png": 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cVEqAwxExvpONEKID+DngswBSynkp5XnTHbPGVu0IT9jQU80bZ1elbcfWvJNGx3ISKQEOR8To+Gx6gJeBI0KINcBp4B4p5YXyRkKIHajbCD/6QyiTRiPSGrbYqqvhqv/pEyb0tIp/YCHK5gj+46KW/yMpohjLcYRvOxwG8S0xIIToB/4GWCelfEYIcRD4gZTyP9f6TH+LkOMtLL24Wr2HbrjyFMokMl+nTRvql503gWmFTzYqlV5DNj/XOk+utcDoPYOsX3tcexPG+5w2afgaLEw2jZSiSIoQYzkpTIUgJyWb32wkEfocZYmBF4AXpJTPeM9HgZ+u+wlJ49IaNtqq68jmF4ptzM2vYvDgKPmpnhg71WSkMe/ExrHscMSM72QjpZwE/pcQ4se9l34e+HboLQaR1rDNVq0hm18o5jhwzKn7GSOtvjzbxrLDETNalTqFEGtRRok24BywVUr5/Vrt+4WQ4/W+0JCJY+1GyQ3AFyteb0O5Ux4ALjdiVtKs/texYprp4au1NuHMaFWoUmKgGl1MMkmNEgOtqBt51iT4d6JXWTKkWc6Z0VJGyX/8h2hdv75lOUKga0bTSuqUUp4B+hvuVQkTJg7RyleAN6F89mPeyy3AF4BbgUvA/ka2oSmbP/taM6TFG0S3xEC95KAi0coa2YJuCeN5lJ8oS/vuWEq5/1hzPtZO/TBAMnI1JkwcssidqGM+CrzTe/kR1ERzCvhMo9vQnEPar3K1Zq3A1lDouGjmfc869cquW0r8k43BcOUTwEaUBeFJ4AngduBZ4GY833IjGk9D+GbF51rn2bzuqOZGGuiLbrusa1rplPVuZgn+Zt73LKNTdt0ykplsopbW2AlsAikEXxKCK7Zu5WrgwwBnz7Kmq4vzQvBid7fK4ZAajyq5Hi9+sRtZEEhqP+aLV/IHz3wk+D7Uk5Up/2XaFazPjeyvadYAH6zyelsbfPSj0KIzOts02oSQNcoMje57HnV9lSfl7vRe1+DF7m6kEEpSqN5jZwN9TAMNHsdl6JRdtwwzQpwCdUBr5dnU+RUdxhkoN1X4pjo6Fv+/8kq4StntuqfC2RMWnJuv6LW/YmZxx7X3JylZmRCEdfaWH4tWqO1j+wLceitcugT7/ZxsFodCNyIVHykB9r28T2NnBhg8OEqhmKNQ9Gb1GVRwz2Moe7WPILr2Nafri0oj1XLzAh7HZTRgqa81LkOXgdiv5843s7J5E8mFeG7ZAgcOwCuvwPAwXH89nDgB115reMOOIBShto/tVjh1Cj6j42RLayh0nITY9/xUD4MHR5mbX7U40ZQooHwFg4T/Zd4s1POtNHIcUxiDZGayyaFkNYZRy71h77lpv8Btt8HDD8PsLAwMwPbt8OCDcMMN8NRT0Bm0Jq/DJDV9bM/CzTfDRZ1Vi0ZZ78RkjWwg5L7vO7aHQtHHQVkADoTpVBOh41sJcxw1/Me2YW/xtKC0tsJ998H8PNxyC5w+rV6/+2547DFYswZuvz3ZPkJt220V1qyBD1ZxarQBHyXCkxe1PVmTnnye9+zcyfyv//qCj236pZd4//thWtes4iT46xNy30dODS1f0VRSACKOhUkUE9eBjm8lzHHUKeFRi4RKqWRnsikWYcMGZYM5eXLpe3fcAXfeCZ/+dDJ9KzEG9KFWejMoG1LJdltBayt85SswMgLlhUJbWlTe0CeBEGEIwfrUx6IzJWIGxsaY6Otj+/AwK9sWb2odly6VXGx6OCmY2jSw77MXV2s2DP7dVmLqOtA9PkGPY70SHkGI0QecnckG4OxZZS6r5PJlOHw4/v6U42e7raBYVPOjlDA6Cu/0nBqPPBJh3pApe7IPPfk8o4ODrJqbo23TpiU+NnH99fzlide1XGxdnV4IXTNJwehagksKAiH3vX2FhlQGpNJ3sAyT14HJ8ujlJTzi198MjL1lobNGiLj4Eydg40b4oz+CJ5+E48fhwx/2fBrvgotX0VjIchB7coTVsvfs20euUFjuYzt9Gi5doveuu3jxxATDR49y5+//PqARudUsEvwRlEDXYWjdCMNPb69vSktTWW9NCaSahL0OTJdHr1XCw8LJR0sbLSj9PUKOfzzcZ+uFi9a84WwK8P019lcrDLWR7WjqqlVjyxY4ckT9f/YsrFsHL73kvdnI6TOg9abFNmC+FZ57Dt70JmUnLDd9Pvqo8q/9h3vgpxM2ffrQiG5XEnLwuuSneui7d4K5+VW1G61E/bKuU8NJigD7+Lh+03Ii1xesRQfBQ7TzKDPcXO0mK9suMHF/H71d54CItOBCaCKGHY9RlhhwREEDtu0aaUONk5TW20X0fGz77Z5oskxv1zlG7xlkZdsFcq0VhXiiLOudJsJcw3V8K7nWeVa2XWD0nsGFiSbLZGOy0bRjT3Y16CVuZDsh79dG04aS0nor5cb4+diaOTfGAtavPc7E/X3suOkwHSumaRFFvbLeZWhfc2nISgj7m6tKefSOFdPsuOkwE/f3BSq2mGay4bPx7NjGpchr2Mu1tqtru90BPKie1nBpcNdd6h79rnc1mHit0ScjWm82l/zOAlMoPbRGyrJ79Had49DWXRzauguuXsOHNpypX8Kj4r3rJpVT0WaToRaN+qcqfCvTn4/QLF1OqeSAhWRjZZMGdOLic4BXdy2WtCGNPuVaC+zeEHHmnsuNMccZVGmBp1mU8rnoPb/Xez8MohV+7iuMsHRBUyrhEVkovq2UXZvWUh6+bSFusomLenHxVWzgsaQNJWVPdrkxZphClRSYp/Gy7JXIInzjTrMlPGzkCtLhn0pByQE32cRJFdttPRt4LGlDSdmTmyk3Ji6OUd80CY2VHJg84V/CI2u8DW3/VKKELTkQ4w86N9nETcl2O4268Ke951H9aqpXqqCWTEVFn6aHr+bQ1l3mI2RKuTElDb1PeK//JirMfBtwBCuUrmuSkNRPVU6hN9mEKTnglfGoV8JDlsp4ZIn/SeIrmp58nkM7d3K+o4NiSwvnOzo4tHMnPfmyQaZbcqCDxEqLWBcg0Igj0ZQT0mTgQbU+i0aSZwKUKrDKaXsGZeIpsnjDLPkaLC3tPHZmALYTWjo+VE5ZPUyWWyiPRKkTi1+rpIDJcgs6nw19TYUMxIxsf6pcF50zM2wfHmbLY48xODrK8fXrI5HFMV0Sw61sLGRBhsW3odl+xIZJX4MhShL8cUv91CWOcgspLeGhfU1VkqQcT53roq1QYNXcHKODg2qFY1IWJyKsW9k4YPKh67TaGQ/1josgvgZL5GgCSfBHKPVTF9Mh5Vqx+HZWQau8pnYeOWS/HI/GdZErFNh94AC7hg6ZlcWJgHhWNlevgR+popXf0gY/8VEQboHV1Jj0NRjCSgl+kyHlaSnhocneDfvJtfo4OZIOd9a4LtoKBTYfPRo4tSIJzN/lvfh8fnYE/lmZAVu0wLovwNpPwo9nOkLf4YfFpZ1rYaUEv8mQ8jSU8AhAb9c5Rm8ZZCUXyLFUjifHPCu5wI2/8c1kgwM0r4v22dnAqRVJYH6y8eLzQcI7R+EaL0L/Zx6B62+Fl0/BdzMZoe/QJYWlna2V4DcZUm5zCY+gTMH6J48zQR87OEwH07RQpINpdnCYCfr4qwfevTTiK240r4vZdm+QBUytiBuzk40XLsnPn4APeRH673gSWp6AntuVVv6P3Qx3ZjJC36FLCks7D60bWS5QWUlSNvLKkPK4yrKnCc8f0ss5DrGLaa6myBVMczWH2EUv5xb8IYmhcV3M53Ic3VwxyC6zNLy5UkMoIcyWGKiU5K+nlR9SXjwOkpKRD7XdAJuTj1sS+jyFklKpd+8uFQOL+YZZ8xxoSMfrSPDXwqqwdIikjEc9Yt/fbeiZqVaQnPxLwOti7MwAGx4cWxqKD+pHTw7fUPzQ9Pcjx8ctKzFgTCvfkWrSKF+TAhu5ow5p8BMGuC6sDMWvIL7JJqXx+alD84YcOu/AFGmUr7HcRh4pcZXxiIu0+Ak1r4tAofgJEU+ejU58fmNi+Y4S3hxinRlGhzSWdq5Vljct6JYj0ChHnaq8L1M5STvRu5V1ol/iW+O6CBSKn9BYNb+yyVh8vsORGUyVI0gDpnKSdH8zR/zb2spQ/ArMTzYZi893ODJBCiWCIiWNfsI6WBuKX0Y8Ppssxec7HFnAdDmCNJBGP2ENrA7F97BOGy0/1cO+Y3sYOTXE7MXVtK+YYWjdCHs37Dcvee9IBhN27iTpRm9F0EWsEu9L0JUI+gvvUYu0nJNapNFPWIW9G/bz2Mkt/lpvCcrVGMmzEf39kvFxpNB3UgspVVnTQULHiZvKaUnK2W5a8tsaAuRwmMjHityxHeS01Ni08XMb5Jj7oXFO3FiuQsRjeezMAIMHRykUc0smnVzrPLnWAqP3DLLh98ai3SjYkWejGwY52dVVv6ypJXHiDkdm0A39daSG9WuPM3F/HztuOkzHimlaRDGeqruaGDWjXTcZwEawE/9Kc3FLtqeRrJmkss5OlKTMLMp5O4RS8DW1LZdhkGl6u85xaOsuDm3dlXRXlmGPtr9OWdO4JdvTSEKhl46QDKOqe0oWq3z2eVVAo8adc0eC2DPZRFDW1OFIHTVMxoMHR8lP9STRI4fDCPZMNikoa+pwxEWhmOPAsSQrdzlCoSnro90uQ9gT+jxE9GVNdaU4HA7LKBTbOHpqs5W2d0cdsuQHzQP7qO5TDCEwa89ksxd4DP/JRvfH3hlUBnSRxXyCkhTHSVR2cFnSlo2hlzb2KY2kSrOrjB9c6qzZ97SNjbT1N61ENtarpaGUfIqPEapcgT1mtCgl25tdisORDZzJ2JEEhtJQ7JlsIDrJdifFkS6yZueOwkSbsLRI5s6JQ5996KehBMAeM1qJKCTbdaU4TpF6mYpEiNoXliU7N/hL0OhU+UxYWiRz58ShT5A0lAD3abtWNlGRhip8aaWZZemjwlX5dNiMoTSUbE42aanCZwKT5g/nC4uOJKp8OtOYQwdDaSj2mdGiwFQVvjRg0vwRxBfmzJP+xF3l05nGHDqYSEMhq5PNBlR4s99kE7QKn+2YzivS9YU9XbZNl+vkcKSLqNNQPFI12WjH6peq8FXm2YCaZFpJVRU+LQLmFYVC1xdWRPlvbgGeNNwnj7Tm0oTF1P66fBjHgk/Rr9xLQJ9iNn02kKkqfL7E5UsJIks/D3wphj45HI7oMeBT1JpshBDPCyH+XghxRggxHnwzCVGqwjeMCucb9p5naUUD8eUVrWN5vXYf8vSwk0N0cJ4WinRwnp0cIk9PNnKd8ijp/vILcif1E966UT9+/B7dCfbRkRxTwBFgG6oY2zbvedw/zEo+xWnUtTrtPQ8ZJRlkZXOTlHKtlLI/3KYcxgiSV9QIGwg02YwxQB8TDLOdGTqRtDBDJ8Nsp48JxooDjfcpScZQ+TI1ygRQqyii7k0jiptL2D46kiHDqQXZNaM1E3HlFZV8YXXKnJfI08Mgo8yxikLFBwq0MccqBhklfzGlMvppqCybhj46Fsl4aoHuZCOBp4QQp4UQO6o1EELsEEKMCyHGefnl6Hro8CfOvKKSL8xnhbOPPRSWZSwupUCOA60pldE3JOkRKWnoo2ORjMts6U4266SUP41yC90lhPi5ygZSysNSyn4pZT/XXBNpJ02Qn+ph55FDdGw7T8umIh3bzrPzyKF0FqzS8aVEmVfUhQq0qLPNEYaWrWgqKdDG0UQFwBogDZVl09DHrBCFnyUuc3hCCCmDhVAKIX4HmJVSfqpWm/4eIcc/3mDPQqAdDlpNPhuWhvWVRVtYHw46hbLnztducmHlSvomJjjX6+/d89tfsVHSk88z0dfHqrnqAl8tFJE6v2WEhMuWH99qtKDW+zrtKm8gQXa3kQjnRvpYqzu2XwtJUC3tAJamWehEv27S21yxpYUriponLA76+5Hj474Dw/duIIRYJYRYXfofeD/wD433MCGyaMcu96VUrDbmczkurFzJ4Oio1kSjy7neXgZHR7mwciXzuaXmsvlcjnZd4aTVKb15paGy7MqI2zmWE6WfRdMcPtueztoTOma0LuBrQohngW8Afy6lPG62WwbJqh27Iq+o2NLCdEcHh3fsoG9iguProxfbOr5+PX0TExzesYPpjo4l2xSb5HKRyUrh9JAvAAAgAElEQVSSltFvhCHs37+3RNzOsZwo/Swa5vD5XI6jm9N50QQ2o+lgtRmtAxX6qdNuWv2bRtNBIxnmOmY0X3Rk9FeiEsTSqG7cyP7FZUZrBy5ottO5JkjnteDLThau9bp0slxfbht60aArUOHm9YjYHB4bUZnRMoch+WxHBVmX0U/D/tWbCMO0yyo6E02tdlGmHXjm8FqmaRPm8DhpvskmDbb2rJCEjH6chN0/XQWLRpUu3Fg3T9RpB2upaZo2ZQ6Pi1QJcUaCIflsRw3iltGPmzD751fJMyrcWDePgXIm53p72XXoELsOZeuiiWeyCSAzn5/qYd+xPYycGmL24mraV8wwtG6EvRv209t1rvG+GJLPdjhq0o1eNFIX0U5EWR/rjfhaoqJZy5mEwHyAQIAY9LEzA2x4cEw7/yU0GcmzaSZZ/UiCFpIiroCAagQc640Q+3WimZcCwOMGvyeqPBtNrBvrVgQIBIhBz0/1MHhwNJ78l6z7EhyOEm6sm6eZypk0gFkzWoAY9H3soVD0SVwo5b9EYcrMui8hj8opGkFF1rWjbPh7SW8EmCMcWR/rSVLLlHcR+AvvAWZNefWw6D5gdmUTQOtn5NQQhaKPnLDTcdLDyco7HPHQSNi0aSy7D5idbALEoM9eXK3X1uW/1CeLcjwOhyMYFt4HzE42AWLQ21dopjC7nID6ZFWOx+EwRWfE7WzAwvuAWZ9NgBj0109qdsXvADYB3TtfZGq6O1gUTTklc6Sz4Tt00QjfFki6OieZfOi6WLoUGUn4UkwTpLxETPcBI5PN6TfciNg4Ts/P1JehB7hw5Ur6/nCCi29dpffluqa5gNgY3lwzxDHsJFNOysyR1oV7NhuadVmmprvN9sOhh4WyXEbNaH4y9GnX+kk1zhzpcGQXC6WKjGuj1ZOhT7vWT2pxEiXxEpcWWrORRV9LVFhYAsOIgoDo75eMjwf8UIC2BiwqqTKjNdrVKKX9LYrjdxgkwJiTj2s0DiBhZTVRmLQhUB6OdSU+rFAQcNhF1NL3lsXxO1LCGVTdlqdZ9MFe9J7f673fbESdh2NhCQw32WQdUxIlFsbxO1JAlGWUbUAzPTARLJMqSr7EQMkMYws2KMlGSZS/mHTVi0tEKS+UFM5MGC1ByihvNd+dhvkZ/NM7ksQiqaJkVzblZhhbsFl+ImmC/tpMu7yQMxNGTwAJq1Sgsz8OwNDK5sZXTzNew+G+4NwqN8PEgI0BAElS73hEmtMSII4/tj7pUG98luT6B4ku0CJDVDtXC+c2yjLKNmAo768ejdzLksxXS25loyOnUI00RaqYIk2htGnN57FQ7iNRohpzUZdRThrd/XEkONnoyCmAcmjJskdcJXVtZpKlx6TWI+ljleZ8Hl25jwdRfr6sB0JENebWoSSq6hGwjHKi6OyPA0hysrFQTsERMWkuORxk3Dkfjj4b0Jts0lJGWWd/HECSk42FcgqOCEkgjj9Sgow7F+qtTxeqTHIby2/Srd7r92CHCVgHv/1xLJDcZGOhnIIjQtJeclhnfFbSTD6cRshaGeV6+6Obh9MEkjrJ5dl8EX2b+GVcXkNAevJ59uzbx9DICKtnZ5lpb2dkaIj9e/fGI3ya9nO1F3iMYEEsrnTDAmuAG1CX+RJa2uBte0E8AFsvpyOXRocu1L5U7o/G/uWneth3bA8j24aYvbia9hUzDK0bYe+G/fR2nTPQ2WRIThstSPReznuMEvrXsna4YBCto8dDdcU8Z1BZ2EWW5gC0eo97qPvrMRJNtipfYTL83EhI5xjKNFYKddahhabPu2gFvgu8CfgA6jDKzwsQLfDOUbj+VvjbvfCd/Yn20wbGzgwweHCUQjFHodi2+Eade56p6yj0NZQpbbQ4beJpV5I1KQeSppDrKCiX+9DF+RgpAneifm+MAu8svfEzj6iJ5uVT8N3PJNU9a8hP9TB4cJS5+VVLJxrIpB8webmaIMQhf5IGCZp6mJQDSTqUOglKch+XUVFn9VY4zse4wAlgI/BHwJMA656AN38Yvv8sfPVmKCaQDWkZ+47toVD0cQxmQfLJI32TTQM28QXb6KkM20aDyIHYbi+3SYZex4eT5lDvKPE09L4MbN8CR44Ab/4wZ8/CunVreOml8wD6JaRtGgcNslDSXZcM+QHTYUYrJ2TezdiZAfrunWD46e3MXOxE0sLMxU6Gn95O370TjJ0ZiLafSZEVORDbZOgtlGy3ljITbUfH4v9XXglXlSkDaN10bRsHDRKqbHZGcg3TN9mEsYnnqWkbLRTbmJtfxeDBUfJTPdH0MUmyIAdiqwy9ZZLttrNlCxw4AK+8AsPDcP31cOIEXHut5hfYOg7iJiN+wHRNNmFt4vvwtY0WijkOHMuADSQLciBB/E5xU/LhTHt9mPaeuxXNEm67DR5+GGZnYWAAtm+HBx+EG26Ap56CTp0AG5vHgR9TwBFgGyrCdZv3PCgZ8gOmb7IJMx+MsDzao4JCsY2jpzJwVrMgB5I1Gfomo7UV7rsP5ufhllvg9Gn1+t13w2OPwZo1cPvtGl+U1nFQz/QXlAz5AdMRIFAecx7mF6SmzfMHlzrry6OngZJ8hl+eTR3HauL7mxW/U5NSLMKGDdDTAydPLn3vjjvg61+Hw4fV89L1VnXMpXEclJv+Kgmaf1XDD5hkmYBGSG6y6ULP1ipQNvHdhDdVtKOKXum0ywIl+YxSBM9rKB9NWiJ4VqB3o7HZ79TknD2rHpVcvrw40fiSxnGgY/rTJWO1kpIzo+lKll+mcZu4rs7Vj5CZBKoF+YxhlFz+sPfc9okGtC/W6Uur6dh2npZNReWoT5vUfx7V5/Jggyj3oRv1Y83vESJAKhbS6H+MsnJnhiYaSJvPJix70ZtsvoOTireBaiaIKnRenlkIY09dueY4Sk7rRmnZGs2VRv+jy1WtSXNMNuU5EvUMh6+TOYmIpiItEh/lJacrk0TTsg9xkMZyBK5yZ02aY7KBxRyJt2m0dVLx6cb285f1ktNRauilrRyBj+mvS1fzyaYJNCKaZ7IBtcL5/zTalSQiHOnE9vOnW3La5n2oR9Rly9Pkf/Qx/U1yHbJN0HM2b19Jd8M+xHSEPkdJhspRmwqBTDz0OQpsPn8Wj8E0nvt610Hs+6OZepB/5q3wTPWvSCS0uVo5jZIP8TEaKu9SorlWNuDKUTcLNp8/NwazTdpMfzH5EJtvZTOEk4rPOrafPzcGs0+typ02EsSH2ID6dPOtbHTCoDMkEdGU2H7+3Bh02ERMPsTmm2ycVHx2Scv5c2PQYRMx+RCbb7IBJxVvO5oltydXdKX3/MUxBputjLcjHDH5EJvPZ1OiJBVfYYN8sbub7imNlOpO0l9C2laqHNe0ig/WpcYYjIxmLOOdFGmuJhqTD7F5J5sKFkIkdaU7pqPZro03Ub8+pTE81rFIM50/k9fXwnE8w/JQ51JJgZOoUOgAEWiNnJ9Q+xtTyfPmNKM5HA5HFGShmmhMPkTtyUYI0SqE+DshxJ81tkmHw+HICGmuJlpODD7EIGa0e4DnvC6knp58nj379jE0MsLq2dnFei9B2ImeOc35dxwO61gD3AB8seL1NpRl6QFUhZOaTKFMZbrVRG3PuTHsQ9SabIQQPwzcDHwC2GOmK/ExMDbG6OAguUKBtoJnqAxTtlXXbxORf8fhcERDK/AV4E2oiN5SRYcW4AvArcAlYH+Nzw+MjanSz7q1a2yqJpoQuma0PwD+L3wm+jTQk88zOjjIqrm5xYmmRFRFjxwOh9UUgTtRmpejwDu91x9BTTSngM/U+GzpHqJbdwmwq5poQvhONkKIXwReklKe9mm3QwgxLoQY5+WXI+tg1OzZt49c5STjcDiajhPARpTZ7EngCeB24FmUGadWHbTA9xDbqokmhM7KZh3wS0KI51ErzPcIIUYqG0kpD0sp+6WU/VxzjXoxprK0L3Z3I4XwfbzY3c3QyMjyFY3tpL28b0jyUz3sPHKIjm3nzZRNdsTHFHAE2AZs8v4eIbkoLe+a+rKA7VvhauDDwNmz8P4umK5zTQW+h9hWTTQhfH02UsqPAh8FEEK8G/gPUsohrW+PuCxtzfhzzc9rJWsaoqF4/7SX99VkyTEaA7ZjVPI8q1iXRxNxHkolYfZXTC2OtY6ykKcrr4Sryk1eU1W+fybAhmKuJprEue9/Va9d8+XZRFW2VVNSxRECVzY5O1ieh7JlCxw4AK+8AsPDcP31cOIEXHttnQ/p3kNasbOkQEIEUhCQUn4V+KqRnsTFOvzDFVtRtSf8QhU3RdUpxxJikjx3xECQPJSYQ4Nvuw0efhhmZ2FgAE6fhkuX4K674Kmn4F3vgulqkaRB7iG2S9XEiLUrm2p+GDax/LEz4Bf7lG0F/G2sJftzEAyVWs0kKS2bvAb4YJXX21B2aGsutjj9J6fQz0OJkdZWuO8+mJ+HW25REw3A3XfDY4/BmjVw++01PhzFPaQJsVYbTdu/EjSHRbNsa81fJOX25yDMlP11fof6WFw2uRaN5m3EhmH/yTJqhXRVEnMeSrEIGzZATw+cPLn0vTvugK9/HQ4frvHhRu8hTYo1P7ZiJWzZ1nr25zpMVo4653eoTwrLJjeStxEbSfhPdP0bCeShnD2rzGWVXL5cZ6IpkbbSzxbQnJMNLJZtHUaZbYa95/V+jejYn1uB98LO9x6irfUSAsl1tbTeS36HKNlJ+k12Q+hVsrSpbHI3nBCw8TZoex2ePA9PfMHL23gWbr4aLiYdnp6Ejtc69ExOacxDCXMPaWKElNFLcIv+fsn4uJrtNZGPVzQ25Xx/vIHPbkPPLLACOjjPzEWNkLUO/E2BQaIZcyz1d+S8RwCTXVKhswuhz3mgD7X6q8VKlECgLdUsyw7Zli1wxPPpnT0L69bBSy8tvl8a642Ew4c6RwHGL8PBv74qUyhZl3rZ9m2o1UCNm7SJkhdik/6xX3Zvciyh/7dg/Jz0PUjNu7IJQwD78+zF1Xpto/Y7ZCFUOOVlk+vmbSRJEv6Tkn+jjeUrnFZiz0NxJIfZyUZzAHV1NlhSUDfnpdHcmAD25/YVmplfOn6HKC5EEyY7k6S0dHeovI24SMp/YqF/Q/ee0/C9ybGA2Wi0KufJiIkmLvl+3fj6dTDECMNPb6dQbKvdVtfv4DfeO/DPai6FClfJS6lZbiHpkramyyZHTOi8jbgIMH4jp+TfSEpmv6IcyCTXVW9nczmQlJc0cWa0IASIr9+7YT+5Vp9kkQhKrQINhQoPjI0x0dfH9uFhOmdmaJFyMRT2XlSorMOXhvI24qKZ80OyUA4k5fvgJpsgBLA/93adY/SewXj8DiFDhX3LLaShpK0llPI2br21et7GnXfCpz+dTN8WcP4TR4LYO9nE5YcJSgD78/q1x+PxO4QMFdaSSk9DSVtLaChvIy4s9J84mgNrFQRstDkuEMT+XOl3yKO0v34MlQGosy0/n81elCJBvXmjAHzf2763mtKSSg9a0nYKNTmdQpnjVhCv/6cbvZXYCtTon0Wt+IZQxzGOCLcpkl09JO0/cTQlRiabG189zbhtMuc2MIYKQS6gN9GA3o2zFCpc+u5a88cXgT9RbeX3hb5Uum4orI8Uyvo/Ocbx9YbDyHRNfuVhwA1ICJUCXoT2CUX5wu4BGSiBKts0knOk81m5yR3rpLHXjJY16snmR0EpVPhDddqU5dzkp3qiDYXVkEIZHRykJ29psk+D+UjaobRMOl+Yoylxk01c6Mjm10JXfqbXa+PnvynAgWO7o5US0ZBCyRUK7D5gebJPyHykyYeuQz4u1OO9AtkqkCx/LITcOl/YUvJkQ2rJURM32cSFjmx+LWZQZreSuaePRVnhMNspwNFTm6MNhdWQkm8rFNh81LK6AJVEUbrAUll9Wxk7M6DG9DDBxrojVbjJJi6ikqXxM/dobmf2tfZoQ2E1pVDaZy2qC1CLRrtoqay+jeSnehg8OOqqsjYBbrKJi6jl8GuZezS3036Vd0eNKhRW0/8z225RXYBaNNpFv9ViCXf1se/YHgpFH7tvBFJLk12a4X82l3u3NR1EE3tDnzNCSQrm7157O5/jdgrUka8JQi35mSGU+aGeKS0Hm9eV2YqiCIXVkEKZz+U4utmmugBVsK10QcYZOTVUX9IJ6kot6XLdZPUAjqQUzkNhczqIBm6yMckZyG99KxQhX+zhCTZGN9kALTNFip9fegrzP9ZDn5hgjlU1P7dSXGD3hogd9RtQlR7rTDaFXI4Du6PQ5zFIhYRQqJuRbmG9oNVeM0hi6ugesZd5aGLcQt4UFaHAvZxjlEFWcoFc3eIe+iyYwsooyeSsbLtArnXpdnKt86xsu8DoPYP0dp2LpA8LaPh/BkdHOddraV2AKCWEdEPKddtlmEjV0R1W4yYbU1QJBV7PcSboYweHEVxu6OtzrfNLTWHl21l7nIn7+9hx02E6VkzTIop0rJhmx02Hmbi/T8nomMDH/2M8oRPCZ+ZHKSGU5eqUETO0bmTZj6JlONNmJjBSqbO/R8jxj0f+temigaqI+ake+u6dYG6+jims7QIT9/epFUrU0uOGJGcaMVmE22CAtjW6FspUEkF1ymZBZ6wvq8paknwaIRm5IQ9nRlO4Sp1J00D4a2BTWJTS42dQN8qnWdwHV3IgGF3ALT5tbqHpJxoIoY4+hsvJSSlusjFFg1IwiZjCNCRnUiWzonszj/qmPwU86dPmSdJzHA2jrY5eT/LJ5eRYj4tGM0UEVRF7u85xaOsuDm3dFW3faqEhObMgs5IGxeCkKvpm7TjGgU5VVh3Jp1JOTkqquzYTbmVjijRWRXQyK9Fg4jhOAUdQvsBN3t8jZHd1VE0rzS9/DKKRG3IYwcjK5vQbbkRsHI/8e1PlkCuFAldK7oOaZFqxrypiBDIrsQcBaBD7uIlarsandAP3EFnRM7/zV+9Y1vtsoHNQXoqjNLnolsMAYzk5lUS2v02CW9mYJG1VEaMsOdDMxFy6IVV+ND+iKMXhcnKsxPlsTBNUCibJSpcR+JkcRHscNfw/+dd72Ld/DyP/NMTsxdW0r5hhaN0Iezfsjz551zSNlOIAl5NjMW5lYxNJhx2n0c9kIzGWbhhjgL7LEwy/sJ2Zi51IWpi52Mnw09vpu3dCyfeniUZKccAyuSGHPbjJxhZsMJdEWXKgmYmpdEOeHgYZZY5VyzT3CsU25uZXMXhwVFVlTQth/S1Ryg05jOAmG1sIEi5bSZTS42nzM9lKDKUb9rGHgk9Z1kIxp6qypgVdf0uO+jk5DutwPpsQ5Kd62HdsDyOnIrSRBwmXrfT/RC09HkXJAYfx0g0jDPmqiBeKbRw9tTm+XK1G0SyRwQ7gEKwBbgC+WNGkDaVe8wA0qELoiAoj2miiv18yHn3osxVUC8sEdQHkUMv4AL+uFkIkN2l+QKDs2gliY3hzPVIdhlpHZ62FIlLHONFCesoZ5FGyM3N12nhaaa298F3gR4vz8NcfgP/tadWIFnjnKFx/K3uB/ab7HDFpG69OG80EJuUyXNixoxp1/D/tusknaQoF7kX9YNPQSisCdwIg1eRyzTtVu595BK6/FV4+xWdi6rbDHzfZBCGIXEZQnCy9oxY1/D9DPzxCriWD8vzr0dNKA04AfH0jtLTBu56EdU9Az+3w/Wfhqzdr59c6zOMmmyDohGWGlctwYceOepT8P8OocTgMe/fsJ3eFz4AMGgpcTSZmJ/GLW5a00qZRS5hp73m1SLPxL8P+7dB2Nbz5w5A/CzveDy/oyqE74sBNNkHQDcsME77pwo4dAalXiiJUKHAK5fsHxsaUT+t7HYsvtl0Jp6+Ce733HVbgJpsg6Nq+w9rIXdixIyDVSlGECgVOoXx/Tz7P6OAgbNwC+w7AK6/A8DBcfz0cPwFXX8vo4CA9eYs63cS4ySYIQyx3WlbSqI28irmErbgVjaMmpVIU08NXUxy5or7JqRYm/ZGG2LNvH2233AIPPwyzszAwANu3w4MPwg03wFNPkVu5kt0HLOp0E+MmmyDsRW+ySVEOncMBmPVHGmLoiSfIfexjMD8Pt9wCp0+rN+6+Gx57DNasoW3jRjYftajTTYyRpM4bXz3NuIFY8cTzO0phmX55NgF+UTayT43E4yd+LB11if38mPRHNkjNcX4e2LABenrg5Mml791xB3z963D4MO0t6fpNndQ9wTTpOgs2ECAs0+FIDab9kSZYAZw9C089tfy9y5fh8GEAZttt6nTz4iabMAQJy6zDGuCDVV5vAz6KOzmOGNH1R/4SdoRGg1Zu2nwux9HNdZyoQUK9bQkLD0vC1V7d/SwhWoGvoEzl5YuhFuALwCeBjyTQL0eTouOPbAG+hD2h0Rq5aYVcjgO7azhRg4R6pzAsfAlJly/BTTaJUZLakCg3jye0wSPArSi9TSe14YgNP5mYkkzSRewJjdbITRscHeVcbxWTQ5BQ7xSGhS/BhvIluMkmUU4AG1HXypPAE8DtwLPAzeiXsnc4IqGeP/I2/OWTkwiN9slNO76+hhM1SKh3CsPCl9BI+ZIIcZNNQrzY3Y0Ugi8JwRVbt3I18GGAs2dZ09XFeSGQQvBid3fCPXVYT5S+hFr+yD/F3tDoMLlpQUK9UxgWvoQg5UsMkqp6NibD+uIONe2eKluzdpRJbVx5JVx11ZJ2YfbbhTYv4ncskgoXjeQcVSt5UfIlPEbgkhc1STA02shYDrI/uptPICy8kmrHqjjUQovGThQvtXDFxtqzUqPXiVvZJM2WLXCgQmrjxAm49tqke+awnTh9CWkMja5HkP1J+b7PaIZ+mw4R951shBBXCSG+IYR4VgjxLSHE7xrtUTNx2211pTbo1K337GhK4vQlxCHVFCdB9ifl+z4yNMR8rv4O+IaIR4DOyuYS8B4p5RqUO25ACPGvjPaqGWhthfvuqyu1we23J9tHh73k8S+fDNH5EqKSaupGOfH9HqZdlUH2J+UyVfv37qXgM9nUDRGPCN/JRipK1siSKItzCDRKsaikNm69tbrUxp13wqc/nUzfHHZTyvnwm2hKROFLCFBBsy664bWmEw2D7E9U+54Q53p7GRwd5cLKlctWOPO5HBdWrqwdIh4hWj4bIUSrEOIM8BJwQkr5TJU2O4QQ40KI8Zc1q9U2PRpSGw7HEsr9NLpEZYrPmlRTkP1J+b4fX7+evokJDu/YwXRHB8WWFqY7Oji8Ywd9ExO1Q8QjREipv0gRQlyNSnzfJaX8h1rt+nuEHP94BL0D9QvnGCos7yIqhn4dKns4Qtn9uKO3pAgQ2fG49zfAsXDRaPqkKhptJ3rmsxI51A3xUPBNGSHIodY9PHmU/2oEtYprR/lZ9hJutdGN3sqqC5gM8f0x82J399Lo1xpMdnVx3WTtHap1nfT/Foyfk75nNlA0mpTyPPBVYCDI50JjgcSCNbhj4QC9nI9yLPYlRIIJGRlbTH0RoTPRBGkXFt88GyHENUBBSnleCLECeC/wgNFewVKJhUqK3uMgKns4ghWOKbn+SH41hzgWftt1K5/kqXeOap6fIP4Xy30JDVPPpFjKOxpEmbmyegwqSCQXcX+/1ud1VjbXAU8LISaAb6J8Nn+m2b/wWCKxYAzdqOZOsn8sHPro+l/aSIUvoSHSLiPTZPiubKSUE8DbY+jLUnQlFv7C+z9iH45xHgrQdhv6chNbQ/fIkQaG8PfZ5IDtZP/XfBAZGVt8Vk2MvQoCQVQos+630D0WrxnthcMGUp7zESkWVxd1LMfeyWZFgLYxymQngu6xuMq/iSPlpDznI1JSLiPTbNg72WhU4VtGVv0WOsei1WvnyD5pzvnQNXXrtEu5jEyzYe9ko1GFbxkxyGQngs6xaPXaOcxiqLRufqqHnUcO0bHtPC2biv5lAiIqTR47k6jwZL9HtXSPSqmbz+Dvs2kWk2IKsLfEQKkK30EWw3t1SMBvESqEVeOzC9Q7Fq3e4x4CBUiYCvXONGdYfg5KuU4nUedgrf7XLRzHMZRD33SZgLQTZEIvCWul0KSYVJKx37Ybve7tXdnA0ip8umTVb+FTkTDITc4RAlOlddNecthWGjEpRmnqs4EgaRYGsXdlU6JUhQ/UL8h6K5ys+y1Kx8KFN8dPkFynIOcnSK6IC9/Vp5FjlQIJmkAESbMwiN0rm3Kc38JRTpSlkHUwVVpXN1fkQczun8NhmPRMNiW/RRvLJ51W7/WAfgtHSjGhh+WHqVynIDkgJvfP4TBMeiYbcH4LR3I+DlO5TkFyQJwPx5Fi4vHZRFkmIEG/RffOF5ma9i8h2NU5yeRD11m/nVSSlI9jHWZ8hjryM5U4H062iamsStyYX9lkSBpfZwII0i7p7aSSIHpYUWLKZ6gjP1OJif1zWMHA2Fhm7peVBCqepstC8bQp1AGqJo1foo3IygQ0glYMuYnCTw1uRz6eXEx+UCLJz2lB79gK4HLjmytnYGyM0cFBcoUCbYWyGa881ymEKXfszACDB0cpFHMUim16H2pBP/csK8R1/cVA1XyWFN0vyzFSPC0wThrfETW6ht+gqwUNqpXWjcJnuH7tcSbu72PHTYfRvks2o95X1vJfKsn4/dLMyuZ6IcffxqL8vx8rUHbrBHErG/P4HmOd8r5t6Pk3ctT/hdhoPzyizvbeeeQQw09vr7/Csa3Uc9xEXQY6AaqOm23oRT1Wu1/uREkW+dHJYt5NRL6hZFc230PZGHVx0vgO3XBmXUf664b7YYi9G/aTa/XZyWbW+0r4/BilkfB6nYmmvF0CvnQzk40kmD05qxIzDj2ChDOv1vxO3XZh+2GI3q5zjN4z6EoIVMOC82OUuEqJmJJe8iH5PJusS8w4/AkSzmxSVt6SMsPr1x5PbwkBk1hyfowRVymRhHxDdkw2TmKmuQkSzqwTKlySdymXo9eJEk8qrLoacZUQiFv2pxFsOj8miEuSy5T0kg9mAgSEkON+jRoMF42TBce2hQECtdgBFLAAACAASURBVLaTpEx5UFo2FZE6v3tK4b5jKHNJuSS/Dn7nRDesOithx7WOY7k8v02rKMvOj5FrrFoZC/C/X26KvisI1ATvgx2hz/VIo8RMXKGXWQ/xrGDllRc0G3p/yytVRkkzlRlOo/+jGc5PHJJcCZWZj3+yaQXei5KbSdvNspEqgzZuxxLecs3zaP1kfUvZ/yUzU5Q0U5nhNPo/muX8lCS5hlEri2GivV8mVGY+mcnG+WgcZXzrhZ9Ey3b4D4Y7ouMPykrYcRr9H810fkySULkWM5ONwJUBcAQg+TgVQK2WfsOnzW+QjbBj3dIGQUogmKYX5UdyYeGNkVC5FjNX+ZtwZQAc6SMPPODT5gHs8mOEJa3+j3J/nQsLXyRo6ecEyrWYKTGQw5UvToIyGY+WmSLtK2YYWjfC3g376e06l3Tv7Mdw+YI1wA3AFyteb0NZiB4gcu3Q2uiUNrDV/1Hy1zWrXE81PAkaP0moJRF0MZdrscR+4WiYChkPSQszFzsZfno7ffdOMHZmIOEOpgCDfoxW4CveJsp/fLcAXwA+CXwk+NeGx/k/HDFjtsSAIxpZfT/yqIlmrk6blSgzg2fPtikPR2wKcIwqm0aZ+2Q4j+N9wJPeR38B+BrwKHA7Kn/ufSzKVJk8PwtjMuI8G1N9juUaqoJN10g5SR2PmvT3I8fHLc6zcURHGsNYoyLKnCTDfowTwEaU2exJ4AnURPMscDP6OoyR4fwfjhhxk00WSGMYa1REmZNkKo+jmwXZnC8L2L4VrgY+DJw9C+/vgmldSZ2oiUsWx9H0uMkmC6QxjNVGTPkxKtRzOzoW/7/ySrjqqurtHI4s4SabLJDWMFbbiCGPY8sWOHAAXnkFhofh+uvhxAm49trw3+lwpAE32WSBlMt4dHVq6u7EkQxs0I9x223w8MMwOwsDA7B9Ozz4INxwAzz1FHTq5ko4HCnETJ6NI172Ao/hnzNhSxhrRQnbSa6r3q6shO2yCJwoSwPX+q6/DfFdNWhthfvug/l5uOUWOH1avX733dDeDrffrh6fjmZzyRKmRLEj87jQZ4sJFOIYYRir8ZDPIHLojy9/aezMAIMHRykUcxSKbYtvhAnZjUNm3zucb30r9PSoVUw5LS2wbRscPgzycTvDbQPR4PkNSiOhwLaGN9fDhT47kqVJwljzUz0MHhxlbn7V0okGgkvjxyyzf/bs8okG4PJlNdE4HFnGqBmte+eLTE37x3N2dU4y+VANU4pDnyaQ8dh3bA+Foo+DSldSxrA8jcNRlyYzNxpd2ehMNEHaORwjp4aWr2gq0c0paub8JEfy6Ew0QdpZjjOjOVLF7MXVmg0jahOkncPhqImbbBypon3FjGbDiNoEaVcLzZBt7RBwhyOFuNDnrBJlaLBFDK0bYfjp7fVNabo5RXHJ7NeYQyKPhGoyH0AkTAHHUEqoF1E1XdahqlTaVOTxCPb1KSBuZZNFKsoNIL2/w97rY8l1rVH2bthPrtXH0aKbU5Q1mf0m8wE0ysDYGNwLPM2iCupF7/m9wJmkelYFG/sUECMrm9NvuBGxcTxQvH0pdjyNce+mCHMs8lM99N07wdz8quVvlnJJBllSbiBN9HadY/SeQf88G519K8nT+OXZpPA4OerTk88zOjgI81XeLHqPg6iqlTasJsr61HNnnnO96RuUbmWTMQKFBidF0BK2Faxfe5yJ+/vYcdNhOlZM0yKK4XOKmiQ/KVYaPL9xsGffPnIFnxVyEWVis4ki7D6QzlohRhQERH+/ZHw8VGErt7JpjI5t55m5qHEVd7BgTunJ59mzbx9DIyOsnp2l5SoZvd3asD/BuqxqDSIf6zFn7ttCmHN/vqODzhmNYJMVKPOzCYKcrzKmOzq4etoiW6imgoALEMgYQUODB8bGGB0cJFco0Fb6pVeyW58E7gHWRtAx509wWMTqWc149tfM9iMM7bp9twyzZrQ3RtzO4UuQ0OCS3XrV3NziRFOiiLJnH8TVWXFkjpl2zXj2q/ybxM2sbt8tw+xk80H0on1+xWgvmoqhdSPkWqt5PcvwwnlTa7d2OBpkZGiI+ZzPzakVZU62iVY4utnSWiE+mPXZdKBCbhsgdt20lOcq1I1GK7ESmIDzb4/Rbm3YnxC5z6YbvRVdF3olp6vgfDbREObc9+TzTPT1sWpurnajNupHozWaoxPGZ9MGvd8+a1c0mhU+mwhMi1PT3dqDKZKLN+W+hXqhwbnWeXKtBUbvGmT9M8f1fwhYaLeupN65DzUR6ZoOnYnROCaCP8719jI4OsrYBzYshhWXaPUe91B70jiDMjGXf9aEr7NKn/LPvBWeqd7M5kAZXzOaEOJ6IcTTQojnhBDfEkLco/3t6TQtpp5qocEdK6bZcdNhJu7vY/3a46rhCs0vtNBu7XA0yvH169XK5SbUtSC8vzehXq81WUyhJpp5lk5SYM7X6denFKCzsnkd2Cul/FshxGrgtBDihJTy276f1JEDcRiht+sch7bu4tDWXbUbrUP9Equ8YMqx0W7tqM570TufN8XTnVTQBWz1Hroco/4xhkVfZ5DvrUdU35MgvisbKeWLUsq/9f6fAZ4D3qT17TpyII7k2IC6+dSj1WvnsB93PuPhFHqTzakY+pIiAkWjCSHeArydKhZDIcQOIcS4EGKcl19WL5bkQFbiJh0b6ULZlttYfpNq9V6vZ7d22IU7n/Fw0b8JkApfZ5xoTzZCiHbgS8BHpJQ/qHxfSnlYStkvpeznmmsW36glB+Kwg7WEs1sHJQUSJpkgrvPZzETl62yya0IrGk0IkUNNNI9LKb8ceCvVyhWbVKVJefhyaCpDMUu/bovUD8sMY7cOSpaOs+3EcT6bmah8nU12TfhONkIIAXwWeE5Kud98l8KzoBy9SXMmszR8ORTVQjHLL4YIwzLrhVfaqG3n16ekwkXTdhxNYnPI7jI2oK4jv8nGkG8sVceqDB0z2jpU+aj3CCHOeA/nYrSJeqGY5TgJGoejcZxvLBS+Kxsp5dcwYfTqQj9DO0460TfB2YJOKGY5UYdlZhFbx6fDDkq+sZLZ+jWUj8bGKp+WkJzqs63l1tNoR9UJxSynFJbpJhtH1omrPHo6LVux4koMZAHdUMxyXFhmfZxcTfoZY3kV1lJ59MdQaRlhiVuuJgO4Sp1ZQDcUsxwnQePIMnnURDPHcgWTgvf6oBKuDUwScjUZwE02WWAd/pnj5TgJGkfW2Ye/TFYBDhzbHfy7g8jVOBZwk00W0JEpKcdJljiyzghak83RUyFqwzi5mlAY8dnc+OppxkPmCaQ1hjxRSqGYlTbkSnSk0xvE5Y5Eg991EHlJBY3vbYTYr2vN8iazr4WQpndyNaHI5MpmskvzTmpT+HKjVMqUwOLk4iRLHM2G5hzSflWIoluuNEcoMhmNdt3k8rjqxH5VN1rNLwj1ZEpK/fjNGPrhsJ8alUhFRQxv7JVyo0KnvEkONq87Gvy7XWmOUGRyZWMNZ4B7UQOztPQuhUfe673fTP1w2INmpNTUdLfZfphCp7xJDnZvOBD8u10ph1C4ycYUtoRH2tIPhyNO6pU3yXmvj6oig4FxcjWhcJONKWwJj7SlH2lD90bhbij2Uqu8yQ7v9fUNfLcr5RCYdPpsatibl9FFcrI4QcIjTcrG2NKPtGGrnJIjGNXKm0RFRks5vNjdTfeU/w12squrqn+8FumcbEJIiTQSShoKW8IjDfQjbNitjSG5aSXOUOIspyPYGKqf9PHWmWhK7eTnBf2v6n2vM6OZwpbwSFv64XA4mho32ZhCR0ImjvBIW/rhcDiamnSa0YKwEy158fxUD/uO7WHk1BCzF1fTvmKGoXUjfPqZe7hiRkO/v7LEdMLV/Kzrh8PhaGqyv7IZRsmKSxblxftQ8uMlxqDv3gmGn97OzMVOJC3MXOxk+OntehMNLC+4Zkt4pC39cDgcTU32VzbV5MULKPnxCe+1QZibX7X8o8W2xrZtSzU/W/rhsAdXidQRM9mfbGpRAA4Al/FXh20EW8IjbemHww5caLcjZpp7sjmKMq+ZnGyiJE6dtSyRheNWr7wxdd6LsvSxw9EAQsroY7pFf79kfDzy713cQETf04KabOocAhlkY4832qE6VCtDC0vLBliQtZx0jkAlA2NjjH1gQ+jjZsX+VCtvDEp2peR1rVyh57zHKI1lymccG/O3kh5zUugfEyEl9Pcjx8d9P5TOAIGofo22oy1FnihO3ywUPfk8o4OD6T5ufuWNL3mPOqWPyRvuoyNT6JZo0S7l4pHOyWaSxRVJtcevo6X4ymaUucGvbVJMAUeA/4i6MdbD6ZstY8++feQKPjZSW45bHhWmX67htRP4v2nMzFvyTTocmlw3OYmQ0vcRRKoG0jrZ+KEpL85uzbZJUF4WQCf62pWhXcbQyAhtOpNN0sdtDBWOXy1M/3Ean2xClGxxOKImm5ONprw4vRptk6Ce2awergztElbPalZhTPK4+ZnJoiBEMUqHI2qyOdlAMHnxOm0n35hAiWmdsgDVcPpmS5hp13TIJXnc9mE+GjINfklH5jET+nwJbZkYowSRF6/R9rpD/nbJQBEtOmG4OmUBKkmLvlm9EN6Ix8bI0BDbh4frm9KCHreo+z+C2cmm5JtMGzGOk4bYyXL1kFq8l3SF20eMmdDn1n5J63jThGJqTza64cubQnSiDaUSkPBArhu2WS+E18DY6MnnmejrY9XcXO1GPsdtyf6Y6H8p/N4UK1Grdptu0H5EeJyNhzYHuVbTFG4fhERDn6tl5Td7KGaQ8GXdsgCQHn0zP9+EgbFxrreXwdHRaHThTPU/iImrmk/xSu/h55tMCwmMk9hIS7i9IeL32TRrKGaQ8sw6ZQHw2qSlDK2Ob8LA2Di+fn005XtN9V8n9D7ntavmf/yW9zBR+jgJEhonsWJLuH3MmDGjiX4JdRQEOtC3c6YAraX6NvSqZq4APoEKe66XW2OJ2azSBzW9ejUjQ0Ps37uXc71lP6k7UOG8fhgYG42YUhZMGqb6n0eFPdex9KXSFBaWiI+zVWa0clagQtur4MxoUdKMoZhByjOnpSxAeS6Qt3+dMzNsHx5moq+PgbGyOg6659zWsWGq/73Ab/i0+Q2aY6KB9I8TXZowTSGZyaYZQzGDlmculQVo1Pxjijo+qLZCgVVzc4wODtKT94zruufc1rFhqv954AGfNg+QTh9FGNI+TnRpwjSF+Ccbk6GYtSQ/dC7URj6rQ5jyzKWyAMOoENBh73nSKxrQ8kHlCgV2H/CM67q+CVvDdE31vxl8FEFI+zjRIY40hW7UD1S/R7fhfpSRzGSz28D31pP8qKzMGeVnddmA3mSTlvLMGrlAbYUCm496WilBJIRsxFT/dfJsmklyJu3jRIc4rnPdaLcYo+LMJHW2oA5orRj5qO3P5eGSlVRW5qzcdiOf9ajn0FtwUJb8MH55NjasWnTQ9EF1zvxg4RiIUemfP2HAN+HncNVyIpdkjaLuf5P4KII46sfuGmDw4CiFYm5ptdwax9nGMgFVKbvOxe6UBQFEgJmVzU8QbyhmI6aIOM0YtvthghDUBwXBJIRsxET/m8VHEYD1a48zcX8fO246TMeKabvHSRCZqjRe5xESb/G0bvTrngdRr24kXNJwSG5qfnUF5Qj+itSlPCCvFLXRkM4G5E3qnSPjYag7Uebaej94cqgbrY7skqVEEn7u99260jGdwEOhuxMJxsdVkMPdaFesDH02ZUdsxBTRJGaMyLHJBxWHz80UzeCjiAvdH4MZyvFLE9lQfW7EFOHMGOGwJRco7fImQcphOBwpJhuTTSPhks0QamkKG3xQWQgdTrsvy+HQwEw0WtzsBR7D3+5dzRTRyGfjRqc8QZi2jVDKBdoa4XcGQTd0+DDwOeyVqw9SDsNhhriumSYlG5ONZ4pY+YELy8Ilc63z5FoLzI2uqn5jMRXSGjXVyhNcRDnpT7JUtjxI27Sj60srP7clf85jqHNrIX4OdRv1s0wFw8QSZBPxNWPj+anFQmqC4T5nw4wGsJ4l4ZItokjHiml23HSYifv76psibDdjBClPEKRtFgjrSyvz5+SneiLskCN1ZPGa0VyJdXUGCfttjGysbDx6u85xaOsuDm3dFeLD2GvGCFKeoPS/TtukTF9RMoR/6HA9CnDg2O5wY8aRDYJcX2m5ZmrMIUmmYmRnZZNldMpEF712QdqmjWr6ddM09pOpAEdPxRT9YVp/L01MoXK1tqFk+u9AqVvf4T3f5r0fx2oiy9dMI0Q8Xt1kkwaClCcI0jZN1Mql+SKqMmy1apWazL4WQ1x7mnOBoqZKaQouAS94f2HRX3Kv194kWb1mGsHAeI13stGN6HCRH0sJIg0TRkbGdvxyaS6hwq4/xNJfYZqTT/tVhjN2054LFCX1/COVBPWX6ErHVLbL4jXTCIbGa7w+m/h8UdliHf7SMKAuzOuA/436tV+LOCTOo0Qnl6YIXM3S7HBNKZjN6wxLKgfJBbLRZxglOv6RSnT9JWElaHSur7RdM3Xo3vkiU9NVagsEqToaYrw6M1oa0JGGAXWx+E00kK5SBhBehl9TCmb3BsMZn66MwCI6/pFKTPtLbJJeioGqE01QQozXVEWjNRJJkca8hQXqlSeopHyiaal4nnApg9DnIKx+nWYOVe/3z2luICQG9PdMiYcaj1bS9Y9UYtJfkrLyHw2LmgZZwdQjoPXZd2UjhHhECPGSEOIfwvbJEQHl0jA6q5wW4J+R/lIG0Jh+nQ05VE5/bxFd/0glpv0lNkgvpY2A41VnZfMoyjL3ueC9cURKSRqmJKdRj8vAP6F8FnFiQvJDJ5emnn5d0Byqsn0oDrUw097OyNAQ+/fu5VxvCCmJRvufJXT9j+X4+UuiGnNJSy+liRDj1XdlI6U8CbwarkcOI9gaqlktpDWKENY4Zfgr9qFFSjpnZtg+PMxEXx8DYyFiPl0ZgUV0/Y/l1POXmBpzjvqEGK+RBQgIIXYIIcaFEOO8/HJUX+uoho2hmiYlP+KS4a+zD22FAqvm5hgdHKQnHzDm05URWKReaYpK/EpVZFFmxjYiHK+RTTZSysNSyn4pZT/XXBPV1zqqsQ69CzXOUM2gkjpBicP3orEPuUKB3QdCRK/Z4DuyhWr+kauAH0Yl5+r6S0yPOUek4zVV0WgOjw0oJVq/vIA4QzWDSH6EtYmb1q/T2Ie2QoHNR4+y61CITtisvxc3UfhH4hhzmuSneth3bA8jp4aYvbgafg37yliEIcLxmqrJRrsWeQhMhZIa6bONoZoR+JFMnQNtNPehfTYaxYFUS/LbQMK+y4UxOQZsp34ZiwArgYZDmw1Rq1/9mh59ndDnJ4D/Dvy4EOIFIcS/C9A/hylsC9W00Y8UFM19mG1vhhjlFGDDmEujFFFCsmG+Kxsp5b+NdpOOyLApVDMLkh8a+zCfy3F0czPEKKcAG8ZcGqWIEpINS5UZLRZ2slRfC5Cbli8fJ7u6uG7Sib0tYKMfKSga+1DI5Tiwu07MZx51AxohWAnqylyRK4FrgJdRQqOuRPFybBhzQaSIbJlsEsJpo1Uy7d8EoHvKxVMuoV5Iq18Iqy3U2Yf5XI4LK1cyODpaO7EzrCy7bZL7acGGMWdAiiiruMnGER22+ZHCULEPxZYWpjs6OLxjB30TExxfX8PTG9Z2b1JyvxlIesw5KSJt0mNG68b3AhNIujonmXzouli65KiCTX6ksJTtwxUbl84Aa4AbUDXbymk7CHv3wAOfhMu1VLer2e5NSu43C0mOOSdFpE16Vjaav+Qikc92OKrQCnwFZaYvX9+0AF94H3zyY/CRj9T5gmqy7DZK7jv0cVJE2qRnZWMhpbhzU3k4TZMvoUFSJSKWbbf7ffCuJzkmi/D0LyDe99c8Atx6C5w6BZ/5jM8XVtrubZTcTxmxnfsa74/dNcDgwVEKxRyFYtvC+7nWeXKtBUbvGmT9M8fhmWj6ldT+Nkp6VjYOhw1MnoCvb4SWNnjXkzwB3A48+/dw881w0W/yqLTd2yq579Bm/drjTNzfx46bDtOxYpoWUaRjxTQ7bjrMxP19rF97POkuWkHzrmxqyZI7HFWoLKW7ZQscOXI1HwbOnoX3vxem/SIZq9nuTUjup4kqqQZV6US/7HPY8PMG6O06x6Gtuzi0dZeZDWSA5lzZ1JMldziqUOkL7OhY/P/KK+EqnZVGNdt91JL7aUMz1UC7Xdjwc4dxmm+y8ZMldzh82LIFDhyAV16B4WG4/no4cQKuvdZrEESWPUrJ/WYnjdIxTUTzTTZhQk2r0RnBdzhSx223wcMPw+wsDAzA9u3w4INwww3w1FPQ2UlwWfZquSJXoiT3ryKd+UpJEEQ6xhE7zeez0Q01XUH8JZWbBRN2+hhobYX77oP5ebjlFjh9Wr1+993Q3g63364enz5IcGmSKHNFTJTmTgNOOsZqjEw2N756mvGIw+gEEYX7GZAlT6o8QSMkGlYdtZ2eeMoTFIuwYQP09MDJk0vfu+MO+PrX4fBhlJk2Kc6wvPREyR95EmWCy+rKyEnH+JLkdZ8aM1pXp57opW87G2TJHanl7FllLqvk8mVvokmSZi+T7KRjrCY1ZrTIJGhskCV32E01M1QaCFImOYtSN046JloiNsemZmUTGTqhplkKLXUEo1ZYfBoIUiY5izjpmOiolx4SUnm8+SYbG2TJHXYSRIHZRnQnxbRMnkHpRYWXryRY+LljKYbMsc032UDysuQOO6ljhurSLW+Y5I8U3eTQoEmkJtFNIdBttx4VZh40/NyxSBBzbABS47OJnEZCTZs1tDRjvNjdrV0Eb5Iyn2FZWLzJiMGmwERoey8qtNmFN4cjiDk2wP2zeSebsDRzaGnGCF1t1VbFZV3TX616Ow4HGEkPATfZBKPclllJafI5iDLFWb7CaabSBpHvT1lYfBz5PdqsQO9GkbKw/szmm9Wgkf2NZH8MjaPm9NmExZAts+mI2k4fJzaHxa9DL9LS1v477MDQOHIrmyAYsmU2HUHt9DbJ2xSBv/AeSfWhFhtQply/HLJ6Yf3OH+mIYhxVwa1sgmDIlunwwYC8jTGS7EOjYf0GciscKcRQeoibbILgpG4cthM2rL/ZpW4cSzGQHuLMaEFwUjeONBAmrL/ZpW4cy4lSiRw32QTDkC3T4Ugc5480i02+sIR8oEYmm9NvuBGxcbzqezaGGmpTsmVW5tmAmmRaWWbL9NtfG5MC/foU9hya+l5HBDh/5DIiG681cvPm/ypH4es5BkdHOb5eX9qg4eskIR+o89kExUndZIc0h2BHjfNHmqGOL6ytUGDV3Byjg4P05LNfq9pNNmEo2TKHUdUBh73nLjQ0GHnUkt7TsOrYdp6dRw6Rn+qJZ/sPAY8D+4H3snjDLZVkvtJ7Xi2JN2u4HJ3lVIxPOrznQeYFDV9YrlBg94Hs16p2k40jGcaAPtREPQNImLnYyfDT2+m7d4KxMwPx9KNauO8l4AXvL2RXJbkcV3pjCWNnBpaNT2a8532o8auDhi+srVBg89GjofuaFtxk44ifPDAIzLGs0FWh2Mbc/CoGD46aX+GkvaRAlLjSGwvkp3oYPDhadXxSQL0+iN741Pyh0j6b/VrVbrJxxM8+6ldTBArFHAeOeVWuTPlWdMJ9g5Jm/47zRwKw79geCkWfKmwFFsdnPTR9YbPt2a9VbTb0uZtlSWCC5REeXZ2T0ZV9tgGbwhxtZASNyaaNo6c2c2jrLnPyLzrhvtUoKzGQOSLOrUgjI6eGKBTb6jcqsDg+66GRmzefy3F0c/ZrVZtd2WhmG09NdxvtRqw4yQ9/NC0Gs68Z/rUX1hfTROG/zcjsxdV67XTGp4YvrJDLceD/b+/sQuy6qjj++8/khrZJxhEaQjDFtoMopZS2GVokUMQvkljUhzxYO48yCDakdkBUBPFB6EujD6NCSBoik1hkakHERgWV6oPaSa2pNVU6Y0uHmiZSHas+ZJwsH865zXzcmbvPnbPP110/GObey5171p59Lvucvf7rvz7f/F7VlSnqbGvaa11r0UMLgkpZ1Aey6bi2kyRbu3B1x2Dc8yLUSn01Ocl/+6nNQzfKOtc7HvezZD4/N2L/+55m+tAhWouLbF28dkt/pdVisZXU2cyNNL9Xteds8sRbEIQxxtoe8atpAbF3FkLkvqvpN/lvP5Lz+Xn2wAHuOH+eY+PjLAwNsTQwwMLQEMfGx7nj/PlMBZ25UFJ9mczyv6LQ6KgxM5MkGENJw8h0RVe13MhnCLtSDtzz172WJNOnSLaetpN8ESZIWt9WkVm6xzxLIh/97wafcwNJz/j0b+yM8p/vN0i2NrPU0WwluDneZubP72xKpIfzs0iqdm6MfgVm5qxrUPW9s6libiRHy4/cdP5F0qF2pmPMI8A0yRd29RVkK319mpVf5BjzvZHcdzUZ5b+1nD8noZfz0+lKPRebqtqh52T5Earzz1TJHJsNamc6xnyA5MpwnJUV2uPp68t2Fm6dnY03353kvm0HgevoSf5by/lzVpLh/HTCqIxAIBNVtUPPqQVBqM6fbwCTWQKMSEDtzJqYR9LHXcbwyGOPxZ3vnOW+tZw/Zy2B56cTRj3vbLLYoRdJTpYfoTp/quRwEVA702vMY1NT1ZzvdajV/L0BnCTJNz6Y/j6JN0nrRB5eaX1MlDubvW+eY+aMOhZwdiNIDlqwHXqW5GWIzHG5+qRTsi9U5x9ar1IIobH0EPOOUCuPitS/1Gb+qmZ9X2WeJtn6XOTaRVU7B3eKJIeT09ZaU/+PUe9sdr3jYuAbM35whe3Q85A5br8+QOQPibqpKoTG0kPMb4VaeVTE/r4W8+fW9+FkzUc6HYm62Fz89m7stFb8YKz9CVyT3qbiduhzIyMcnpxkeGGBLUtLDC8scHhyMrhwa2zfFK3BLnrcIupQshCxdmZqbCzufOe8lVSL+XPr+3Cy5COddalna0hC5QAABYlJREFUzqbhdugTB4/SGuxydreAKjlcTBC22PQQ89GJiXjzHUFSXYv5c+v7cCLmI/uJei42DbdDH9k1x/SRQ/XS+UesTZgbGYkz35Ek9LWYP7e+DydiPrKfqOdiA423Qz9w59n66fxj1ibEmO+I9kKVnz+3vg8nYj6yn6hnnU2bPOojxqCbaM4eFEsDA2xZKrjDVh11/jFjztv+PouEvpdjVnn+3Po+IcReaYxEdbbRVlrZObgaUN87m7wIVDUPXr0aNw6neAqW0FcKt74Pt1eKmI/sJ4LubCTtJ9m9HgSOm9mjvR6wm4Z8o5qWbvUusfXp633+ZkwEN2MzXynzwjoS2mKgBEl19HO9nfdcXWdD79b3tWqZsFzOvJp2Lc0hrpltTrO2zgaSRaZF5hxc5f4fAaw7v0dHg/6+652NpEHgWyS7zLcBD0i6LThCx6kqFZfQR6dDHqxU6/siySpndq+0TRNyZ3MP8LKZzQFIegL4BPCnmIE5TnQOAs/Q3cuuphL6IFblwYY/vVBmNMWRRc6c0cvP6UxIzuZdwGvLns+nr61A0rikGUkzlwMLqB2nVBouoXc2wOXMhROy2HTaXFyzeWdmx8xs1MxGdwZaQzlO6TRcQu+sg8uZCydkG20euGnZ8z3A63HCcZwSyFtS7VQflzMXTsidzbPAeyTdImkr8Cngh3HDchzHiYjLmQtHZt3ls5IOAt8k2cl+3My+3uX9l4FX06c3An/fZJzR2At7Q997Ds4FvK3S480ZH2tz6YPxvnMIbhkBBlZmCyy1CP7rLPzjXyUFF5O85/bdZraz25uCFpvNIGnGzMKE2A2gn8brY20u/TTefhorlDdedxBwHMdxouOLjeM4jhOdIhabYwUco0r003h9rM2ln8bbT2OFksYbPWfjOI7jOL6N5jiO40THFxvHcRwnOlEXG0n7Jf1Z0suSvhjzWGUj6XFJlyT9sexYYiPpJkm/kHRB0ouSjpQdUywkXSfpd5L+kI71a2XHFBtJg5J+L+lHZccSG0mvSHpB0vOSZsqOJyaShiVNS3op/e6+v9Djx8rZpK0J/gJ8hMTy5lngATNrpFu0pPtIbPu+a2a3lx1PTCTtBnab2XOSdpAUu36yiXMrScA2M/u3pBbwa+CImf2m5NCiIekRYBQYMrP7y44nJpJeAUbNrOEFrCDpFPArMzueusHcYGb/LOr4Me9s3m5NYGZXgHZrgkZiZs8Ab5YdRxGY2d/M7Ln08VvABTo4gTcBS2h7/7ZbZTVWVSNpD/AxEucwpyFIGgLuA04AmNmVIhcaiLvYBLUmcOqNpJuBu4DflhtJPNJtpeeBS8DPzKyxYyWxpfoC0C990A34qaRzksbLDiYitwKXgZPpFulxSduKDCDmYhPUmsCpL5K2A08CD5tZEz2kADCzJTO7k8Tx/B5JjdwmlXQ/cMnMQjwAm8I+M7ubpNfm59Lt8CayBbgb+I6Z3QX8Byg0jx5zsfHWBA0mzV88CZw2sx+UHU8RpNsOvwT2lxxKLPYBH0/zGE8AH5Q0VW5IcTGz19Pfl4CnSLb/m8g8ML/srnyaZPEpjJiLjbcmaChp0vwEcMHMjpYdT0wk7ZQ0nD6+Hvgw8FK5UcXBzL5kZnvM7GaS7+vPzWys5LCiIWlbKnAh3VL6KNBINamZXQRek/Te9KUPAYUKekKap/WEmf1P0kPAT7jWmuDFWMcrG0nfAz4A3ChpHviqmZ0oN6po7CNpK/VCmssA+LKZ/bjEmGKxGziVqisHgO+bWeMlwX3CLuCp5NqJLcAZMztbbkhROQycTi/+5yi4XaDb1TiO4zjRcQcBx3EcJzq+2DiO4zjR8cXGcRzHiY4vNo7jOE50fLFxHMdxouOLjeM4jhMdX2wcx3Gc6PwfgmOUXRCVUKwAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(7, 7)) \n", + "heatmap(mesh_predict_result_ad)\n", + "scatter_data(train_for_pred, test_for_pred, train_result, test_result ,yshift=-0.014)\n", + "plt.show()\n", + "\n", + "# 赤がA、青がBのラベル。●が訓練データで、■がテストデータ" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "id": "Zd7rYez2CjVc", + "outputId": "c9b197c4-c189-44e4-f22c-c6092736b5e4" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "heatmap(mesh_predict_result_ad)\n", + "plot_train_A = training_input_unnormalized[\"A\"]#/np.pi - [1,1]\n", + "plot_train_B = training_input_unnormalized[\"B\"]#/np.pi - [1,1]\n", + "plt.scatter(plot_train_A[:,0],plot_train_A[:,1],c=\"red\")\n", + "plt.scatter(plot_train_B[:,0],plot_train_B[:,1],c=\"blue\")" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "kernel matrix during the training:\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "testing success ratio: 0.9\n", + "result: ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'A', 'B', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B']\n", + "truth : ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B']\n", + "{'accuracy': 0.9, 'precision': 0.88, 'recall': 0.92, 'specificity': 0.88, 'F1-measure': 0.9}\n", + "CPU times: user 2min 37s, sys: 1.56 s, total: 2min 39s\n", + "Wall time: 4min 57s\n" + ] + } + ], + "source": [ + "%%time\n", + "\n", + "# evaluate test data with tunned hyper parameter\n", + "lambda2 = history_q[0][0][\"lambda2\"]\n", + "rep = history_q[0][0][\"rep\"]\n", + "rep,lambda2\n", + "\n", + "# Wall time: 9.47 s for train_size = 20 test_size = 10\n", + "os.environ['QISKIT_IN_PARALLEL'] = 'TRUE'\n", + "backend = BasicAer.get_backend('qasm_simulator')\n", + "feature_map = ZZFeatureMap(feature_dim, reps=2)\n", + "svm_opt = QSVM(feature_map, training_input_unnormalized, test_input_unnormalized, None) # the data for prediction can be fed later.\n", + "svm_opt.random_seed = seed\n", + "quantum_instance = QuantumInstance(backend, shots=shots, seed_simulator=seed, seed_transpiler=seed)\n", + "result = svm_opt.run(quantum_instance)\n", + "print(\"kernel matrix during the training:\")\n", + "kernel_matrix = result['kernel_matrix_training']\n", + "img = plt.imshow(np.asmatrix(kernel_matrix),interpolation='nearest',origin='upper',cmap='bone_r')\n", + "plt.show()\n", + "\n", + "print(\"testing success ratio: \", result['testing_accuracy'])\n", + "\n", + "train_result = svm_opt.predict(train_for_pred)\n", + "test_result = svm_opt.predict(test_for_pred)\n", + "\n", + "# モデル評価\n", + "eval_input = [\"A\" if x == 0 else \"B\" for x in test_result]\n", + "eval_model(eval_input)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(7, 7)) \n", + "heatmap(mesh_predict_result_ad)\n", + "scatter_data(train_for_pred, test_for_pred, train_result, test_result ,yshift=-0.084)\n", + "plt.show()\n", + "\n", + "# 赤がA、青がBのラベル。●が訓練データで、■がテストデータ" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(7, 7)) \n", + "heatmap(mesh_predict_result_ad)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "bHLUb7G1vyar" + }, + "source": [ + "### With Hyper Parameter Tuning" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "GsEmGxpqvxBj", + "outputId": "6e626b57-7766-4096-d5c6-3e2b355e7236" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "rep: 9, lambda2: 0.3379856787135712 \n", + "mean: 0.63 \n", + "rep: 3, lambda2: 0.007272965001694547 \n", + "mean: 0.5850000000000001 \n", + "rep: 4, lambda2: 0.04297649232546777 \n", + "mean: 0.64 \n", + "rep: 9, lambda2: 0.004659404373567989 \n", + "mean: 0.505 \n", + "rep: 7, lambda2: 0.0054290416619287634 \n", + "mean: 0.5650000000000001 \n", + "rep: 9, lambda2: 0.09404510544401405 \n", + "mean: 0.6000000000000001 \n", + "rep: 9, lambda2: 0.18345409505505353 \n", + " 24%|██▍ | 6/25 [2:04:20<7:12:35, 1366.09s/trial, best loss: 0.36]" + ] + } + ], + "source": [ + "%%time \n", + "\n", + "os.environ['QISKIT_IN_PARALLEL'] = 'TRUE'\n", + "space = {\n", + " \"rep\": hp.choice(\"rep\", range(1,10)),\n", + " \"lambda2\": hp.loguniform(\"lambda2\", np.log(0.001), np.log(10))\n", + "}\n", + "\n", + "max_evals= 25\n", + "trials = Trials()\n", + "rstate = np.random.RandomState(seed)\n", + "history_q = []\n", + "fmin(functools.partial(score_quantum,train_in=training_input_unnormalized),\n", + " space, algo=tpe.suggest, trials=trials, max_evals=max_evals, rstate=rstate)\n", + "\n", + "history_q = sorted(history_q, key=lambda tpl: tpl[1])\n", + "best = history_q[0]\n", + "print(f\"best prames:{best[0]}, score:{best[1]:.4f}\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[({'lambda2': 0.018002718351046443, 'rep': 2}, 0.03500000000000003),\n", + " ({'lambda2': 0.02894242088720116, 'rep': 2}, 0.03500000000000003),\n", + " ({'lambda2': 0.03334055173970387, 'rep': 2}, 0.03500000000000003),\n", + " ({'lambda2': 0.08351409258775638, 'rep': 2}, 0.040000000000000036),\n", + " ({'lambda2': 0.0011871698109490226, 'rep': 2}, 0.06500000000000006),\n", + " ({'lambda2': 3.0628801873477514, 'rep': 2}, 0.09499999999999997),\n", + " ({'lambda2': 0.013595255614011417, 'rep': 1}, 0.22499999999999998),\n", + " ({'lambda2': 0.4109546561543689, 'rep': 1}, 0.24),\n", + " ({'lambda2': 3.416951188980379, 'rep': 1}, 0.2650000000000001),\n", + " ({'lambda2': 4.470537128310589, 'rep': 1}, 0.2650000000000001),\n", + " ({'lambda2': 0.04297649232546777, 'rep': 4}, 0.36),\n", + " ({'lambda2': 0.3379856787135712, 'rep': 9}, 0.37),\n", + " ({'lambda2': 0.18345409505505353, 'rep': 9}, 0.375),\n", + " ({'lambda2': 0.9779963058616321, 'rep': 6}, 0.39),\n", + " ({'lambda2': 1.1842655043593648, 'rep': 6}, 0.39),\n", + " ({'lambda2': 0.22068563028667662, 'rep': 8}, 0.39),\n", + " ({'lambda2': 0.04223352475962893, 'rep': 7}, 0.3949999999999999),\n", + " ({'lambda2': 0.9744337603714344, 'rep': 5}, 0.395),\n", + " ({'lambda2': 0.09404510544401405, 'rep': 9}, 0.3999999999999999),\n", + " ({'lambda2': 0.007272965001694547, 'rep': 3}, 0.4149999999999999),\n", + " ({'lambda2': 0.0054290416619287634, 'rep': 7}, 0.43499999999999994),\n", + " ({'lambda2': 0.0020865530397624916, 'rep': 3}, 0.44999999999999996),\n", + " ({'lambda2': 0.01273526288892435, 'rep': 9}, 0.45999999999999996),\n", + " ({'lambda2': 0.004659404373567989, 'rep': 9}, 0.495),\n", + " ({'lambda2': 0.003373871959499393, 'rep': 6}, 0.56)]" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "history_q" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 384 + }, + "id": "rb5aRWoddfdk", + "outputId": "26dbdcb6-6219-48cc-e1f8-3691749796fe" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "kernel matrix during the training:\n" + ] + }, + { + "data": { + "image/png": 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JauWHqcSEO1ee0CK8GU1cXDh/9SFjh/TExsyUyIREAB5eecacmSMBSMjLo7S6Gi87OxJzcol7Eot3c29UFTX0DQ8FYPfus8ybPZo7b97TMSiAtSt2M27eMEK9vTl47S4927fEWCT6UuYaiUQsnbqGHUfWsHPHKQaN6YmbtTVyiQSdXsfZe0/JjMvEr60fAOFNg9i+8xTdB4exe+UBJiwfR3x0InU1dbQNb0Gojw/jRy5h5topAMR9TDFwLCIhv85dyuEbp+jk5/c/mimg1+tvADf+zrXFhXn0GTiZ1zdfkxAVz4pN+/hl4XeAIW16fes1G3+bz88b9vNKbMyaZVMora7m/PFbzFr5C3KJhINrjgEQdnwtHcNb4mhhwdXKGkxNTPh91wnGzRuGSCig94iurJ72E418DQv25z0H2LpyPy6+LiyaN47jO7dz9fF1LKzMCfPzY9Hv67l+4CoiY5FhPF5O9B0WTmphIY28g9DqdNSo68hTKimprCSkiQ+bV+zD2FjMx6g3AMyeO4aOTdsx7YeVhPXtTdPwpvx18AoBof6UVldzYsteFmxdycOTDwGo6hGGRxNP6rVa7sbG0XvEaFr1bEl0WhoioZCX11/xuLaOkiIDGVtZVsXEgT15+vgtE4f35nVaGk6WlnTu0YaL0dE08/BAJBQyf6NhUblYWdGyZ0ucrax4dCqSoYuGcuN+FK3aBSMWiXgaHYNEJsHCyhyAywdu4evbirF9u7Jl1ynevXhC2LBOlBeWc+3QOX7csZwHN87zftZQAJq6u/PTpJmEtu+Hm78bz+9HEx+Tik+ABxtmLuPdh0jKa2p4cu4JAGZWZuzbd57spBwePz7LnouduXX4Bo2cHfB3dqJ6YDuKs4sRGxmma3z0e3qMDGf7qoOMnDuRu0+iSX6TTEPPBjbuWc7sCcvoMaYvZ/4w8AOqymp0Oh1isYTpYwawfvMR3ALcKM4v5UmJEjtXW/46f5v53wzl4RUDj5Iek872P0/z7XeDOLvnCgt/mIhWpyMnKQePIE82LViBh0cQzZr6AmBha0FRZSV+Hq48jU3A1tWW54/eYq8wJ8DPkzOX7yMQCHDzdwOgorgCvV6H1NiYHkM7c/f6UyaN68/JWw95dCoSa2drXBq7oKkzlBsKmYwuAzpwZudF/jy0iqT8fELaBBL3LpmXj97hYWvL6B/G4GFjA0CpRxUCgYDdy/6gUaNg0nLz//ba/epo/Iqv+Ip/gWjVqlX/02Pg0PHjq1Zt+Zmoe9GIjEWsXTkd11Yd6DtqLNMH9KZ9eB/c/d24dOQGjp6O7Nt2mv6DuiCwkTG6Vxe27D3Nd3NG0LFHa9QNGkLc3Q3yo0RARkkJWZ/y6BzajOzSMpwsLLD29aBOVYephSkzJgzCrLE9z64859b1p7To2AFnH2fcbW34c/dZ5kwcyvvEdHasXcbTOzeJfxFH3xEDWDlzA9NWf4uZiQmxsZ8oKCvnwq4rVNWpqS6vptPQMGydHXD3a0RIEx+cmgQjFAmZMLI3Xvb2OPs4Y24mZ/rQKfQYNoSRvbtw9fwD6mvrGTgoHAu5nNcfE9Ghp0XrQFp5eTGwcz+6D+2HV3NvPj6OwcbRHnNLSw5sWYPO1IGWHYJZNGk5s6aOZtqElSyZPY5WPr68fppMz0E98HR2wN3Jnl+X76Z9z9ZcvPwQI2MjLB0subr3AnOmjmbX4Yvs+GkVt8+eZdL0yZiamBATncjKTQvIVyoJDm6MQGZO+1ZB1Aq02Do58k2fbgR368j8sfO5cf4mvYf2pv2ACGJexjNz0VjqxQJsHW0IdHbBN6wNV649pnWIH/YBLoSEBqIzEuIZ3Ah7D3vmLZ1HQVEZ478bjJ1CwfuMTPq2bI6jky35SiVFlZXYBnhgbWFO0sdUVi2cxKXLD+k2NIyuwU0QGxtj7GyFQCBAq9VhZmWGUyMnNv62ANsmLsgkErJLSukbHkpJrQonOxsK80to0yYYe4WC3JoqrByt6Ny3HS1bBtCg0fD+dQKdO7dEp9dj72xLt2bBNO7chh79O9PY0REbMzOK6msoqa4CAdhamNOihT/GljKeRb6lZ/tW9Axtgbu7I242NrjZ2BCT+IleI3vg7eCAxMiI5PQcwlqFkF1VgVgqxtzanAkjexPo6Y6vuwsysTFanZ7UtBx8m3jibmOLg0JBs0AfPsSncv/6M74ZFoGpiQkyiQQPO1vMpVK8QoMYPXYA8fFp3L5wOn/VqlV7/6v1+I+VD/8vqK2q4eqZ+6QkvWHC4tlce/ee17cM6sOsxRvZ8dsips8ZSV5eChU3ili/fw1nHzzF3tmWLfvPYCI3+UJCWcpl3I+Lo6KmhuoKFd5uTkikEoQCsDUz48y5uzy79pAXL64AEDGkMwqplOdPLzHiu9ncPncGmbkcbYOG6dOGsmX/GS4e30dY2AgAVKpK9Ho9Tp6unNl5kT/+WEyrFgFcPHkHsVSMZ7Ant09eQq1S8+L5NQBWzp5AZlwmEUM6s3TuJlx8XbBxtkFmLuPHvRtYPOJbVEoVyYlvATj18AmdmjahTYg/1Wo1r1/F8vZ1PAs2rsVcKmXTwk18+PAQjcaQWs77+VeGDApHo9WxdOsSjI2MGLZgGHG5uXy/djvF2cX4OjjwIjUVgKk/jOfp47e4B7jzx8ol/N7lOPn5aRy5cheAFbv+QKPRIpdIAHj59Dbnz7mydNYYft15nKKsYn5fvpeZP00k9mkcxVVVZOYX0b6HQQGyNTPj6qMonkVeIep9R85vP8XvB35m+fwtdBjcnk7hLTl65S4RXdoCoPR0IOZZLEZiY+5mFWEsMSYuK5tgD3dkEgnz522kVUQrAvwMJJ1EKuHkzgu8fnqf9bvc6De8Kw/uvCAjLZcubZqS+CqJc4d24+ho8E3Y23twucVrfFydqKipIepyFPdO3KKsLJ/wQf2Ie/6RMSfDqa2v4+WNlwBUtvFn8vA+mJmYcPzAb5iYmiA1lRL77AMyUzPCRoThFOKPldzgX3l8JpKGeg3DZg/i7P6rNOvajCu7L6HX6/l2VD+ySktwsbLm8J0HAERdek5pbinJMZ+orlBx/+x1dBod5UXl2Lvbk/cpj9mTVjN0vqEkK80vIzsxm8M71vPrihl8N+MX6lRqFq+Zxh8rl/DLgf1s2HgIhY2B7P30/hM2ztZYOVqTKEwm7lnc316P/xjR+P+C4KZN9XM2/I6zoy3hAQFcefuWroGGmj+tqAiZREKgiys3P7zH38mJc7ciObP9ECPnfou5tTll+WVMG2mQDI9cv0d8VDznju6kZ5/x9J/Wl66BgcglEpas3smbyGdMWTuH5o0MEywhL4+m7u5YyeV8yMrCytSUV7GJ3DpwG4WdgtD+obg42eFmbQ2AQCDAydKSarWad5kZ3DsbiZ27HX7NG6PX6zE1MaGNlxdPkpK+SGiPzj3mj/XzuRgdTVlROWUF5YiMRNi721GaX8aE/t3ZfeIKLUMN8lPMh2SiLkcREOpP9z4dSMnKpTi7mOatA3n7Kg6JVEKPTq2o/2yOArj/JJqJA3uy88hFVJUqfJr78OLqC8bPHopQIMBeoSBfqQTA2tSU2eOXEhTagnHfGrRxa1NTjh24zNhJ/Smtrkan13NhvyGojZ0xmDKVioXDv+PTp3dEp6WRlJdPvbqegaGtSSsqwsveHqVKBcCPi/7g4P5VlNfU8DEriy4BAYiEQp4lJxPo7IxCJiMhLxfBZztLbE4OESEhxObk4GlrS0qBQV04/eIF1qam5BWVIjeV8vjCUwAmTh9CkKsr1Wo1aUVFfPyUwfCOoew6fY1uYa0IcnUlKT8fb3t7AD5mZVGmUuFiZfXl2527/ZjuHVtSWl1Ng1aLAHj/PolBPToAUKWuo4mLCwtXbmPBvLGIhEJO3XhIv67tiEpIYmTH9lSr1V8CZ0ZJCTllZcgkEpq7u3P6eRR9WzTHSCQiu7QUjU5HkKsre64YvBmDOrcjOi2NEDc3jp67xYRhEZRWV9PExQV1Qz0NWh0vUlNp6+0NwIELNzEWG/PdgJ6oGxp4lZZGSlIGYyLCqaytRSAQcOfVW0Z06WiYQ9nZvItJZsqAXjxKSCC/uJRvunb5W0Tjv0VQcHL10M9asY4/li9j6NgZdBnRmWdXowBI+/iJvLwU1hz8jYiQEDYfv4DMTIaZlUGOqyipICEqgXYDDCxwKy8vhAJ4k55BjaoWPzcX1A0NiIRCFDIpt+6/IP5FAtmpBilp9q9zUUilTOo7mrbtI3gfHcmao1tJiUnD3d+NWpWaZWO/xd/fcP/MzDiWbv+VK7suYWqu4M+9y7n4/CVpH9I4vnMbY2bOQSgU8PjKPfLyDDtzTNxzNh8+h2MjR94/fE9QxyDK8svwC/Hi1JZzJMRGM/mn+aybtQCAcw+vGsqH1E90Dgxg646TtI1ozfX9N1i08juWTFvLixfXkMsNRGDvoeMJbBdIeUE5eam5/L5+Hvsu3mLyoF5M/GYlqqpKrlz9k78ePQYMTsW81FxqKms5sm0j42cvYteGlVx6/pA9644hVxgypYUrvgWgrX8wSzduY1C/LjyPSeDVjVe0G9COupo6Luw4w7Ube9lx+grpH9MBWLz4Gx7FxfPrjB+Z/ssSqsqqmDF6AGcin6HTamnu70O9VktKtkExKs4tobq8moSoBFr0aIGjlyMZMRksnzGWq+/ekp9bTH2dwXEJoFKqMLc25/C6XSzc+gM3Dt2iJLeYzfuW42ihYOX6fRiJjSjKKALgw+unbD21gw+xKQzoHMqOXacpzi7Gq7k3gS39OLDqABv3LDcEwssGslen0zFiSHcqamqY2G88vx7fwc0T90iPS6XjoM5Y2lsilopp/tnFGZuVzdFfDjBrw2yObzxNx6EdObvtGBYW9hw+sZ688nLMpVKq1AZ35Znzd5GZyfAL8SY1IYOMmAzCh4Vx/dAtTC1N0TZoUVWqsHMzOCZdGrtQnFPMvTNXeRh5hmMPItFpdfRs1Yyl8zcROqAd1k7WWJuaApBfXIq5uSkxL+KRW8jZ8/MGUlKi/2fVh/8X6LQ69DodE+csoW2v1jhZWPBKbLB3NmkfRMWNIvydnNh8/AILxgzhfWYGMZlZ1FSoMBIb4dfWjyauLgDIJRJKq6oMETopm7raOtbP+p6EpGj2XLyJQCREZib7YkH2srPjVWIKA8dNIiA0AIWdBR+ex2IsNqKFpye3nrxi0KgpVH425nQf1YdBHUMRGRuhqWvgdVoabfwbk5eSx9bzh3FQKOjWrDXrDh7+krJpdFqUxUo6dGpOsXcxmfGZtO3SnE8pWazYMItN6w6Rl5rHsInTAchTKqmoraW9X2N+XLyVITMGkPghlXFzh2EuldJjfC8cPV0ozS0FQGwiZnL/nmi0Wipqa8mvqEBuIedDdjYterTA1NKUsy9f0iW4CQCJ+fmU5JQQ0NKP/E9jGDAkHLlCRkFFBd8sHkVmdj56nZ67T6IB+GHzTiztLQ27bHk15tbmZCdm07lba9w3zqVAqcQ3wJPqcoPcZmtmRlFWEd0GDqZFk8bsWHuEua+T8GrqBXo9qkZupGbn0TbAwNwnmcnxsrenV0R7Xr9PQCI2ZsrYfuy/dQ8fd2feZRTSp09HHC0M3pLnKSlkJmfTZWBvykuU/L5xAVqdjuj0dJQqFR37tePn75YSPtBw3GbemBWoGxro3CaEjJIS7DzssfOwJ/55PH7NGxM2tAv5SiWBLs5YOVkB4OPtxsvkFIa0bU3zNuGc+/My05eMpbS6mo/RiRiJjWjp54Pos1R++rcTzFg/Czdra378bRalVVU03rGc+NhPiI1EeNja8Cw5BSdLwzvYONtQkluCQADe/h4oi5RodToWL/+WqIQkhEYi6mrqGNc1DIDXaWlk2FmQ/tHwDWsqVOSk5NKleTAlhYW0a9GE03/dQPLZRq2p1+Dk7UTLDsHk5hVx4OpfdPLz+1vr8d8iU2jRooX+yfPnHLn1gIDGHtiYmX1J/caMWsqC9dOIevkRU4UpbUP8aebhSWZxESKhEKFQyIThC7h5y2BU2X76Ct06tCCrtJSa+nrS4zOI6BpKpVrNqYNXmTJjGI4WFl/04vTiYsL8/LgQHc21XVdZsWEWrtZWlKtqaOZDvKNiAAAgAElEQVTblIycZKLT0jm19zIANVW19P4ugsOrD7J21w+cO32HFuHNSHybTHF2MQVpBcxZ/S3q+nocPk/iTWsP8ufWpbzJyMDP0REzqZRqtRpzqZROHYdy4OwOfBwc2HryEgCzRw7g8J0HSEzEONvZkFdaxoh2oXQLH82ohRMZ06MzjxMTsTUzZEvH918h5uUbLlzbS7uW3dh2dh+TIoZx8OZZNn+/DbVaxc6/fiMm23AcZfey7cz9fQHrZ/zE70c3ce38A8ytzZn/zVAWLt1CWUG5wdTUxjCJ2rQPobmHB4u+38yGDXOp02gwMTZG3dBAg1aDvbkCE7GY71cbzFejJ/Ql2M3NEDC9vMhXKtFotShkMizlcrafvcKYiPAvPFBeeTmJ+fm0b9wYsUjEuZev6NO8GRIjI+7HxdEzOBihQPCFEwl0cSGjuJh6jYZAF2cexifQ1tubPKUSS5mMOo0GmVhMZqkhaDpZWKCqq8PHwYF3GRnIJGJ87B0oqKjgY3YWVnJTfB0dkYqNyS4tA8DL3h6dTkdRZSVZpaU09/CgTqNBJBRiYmyMRqtFYmz8xSyk0WqJTEzESCjEzcYGb3t78srLOX75HoN7h1FUWYmvgwNPk5MBEBsZ0cXfnzKVCnuFgpjsbFytrHiTkUGrRo2Iyc6mrbf3F3+OTq9Hp9MRk53N++Q0RnTugEwsprS6ipKqalYv2saJ4+vRfC5ZhUIhFTU11Gs0KGRS3mZk/m2fwr9FUAhu2lQ/99dNWFiZ0795c6LT03H/XMMbi0ScffCUI+v/ZO7mH9DpdIQF+ONmY8Ph+w8RCAQUZRXx7dDeAOQrlezYcpwb544y46eVtGwdiI25OYHOzpx89pzNc1Yz8NtxmFoa0qxendug1+uJzcmhKLuIJoHe7Fx5gPLyIlb9uZwPsSmYyE3oGGLgOMpUKoJdXcgrV5JdWkpFbS0KqZRrp+/j39aPZn7e1NQbLNRxSYZ02tfbjSBXV4oqK7l5P4rspBxk5oYSqH/vjqjrG9iz+SQ9xxuIum2LfmfY7LH4+HpgY2pKvVbLtQsPWbVwEvdiY7l+/C6h/UPR6QwHlvq1bIGqrg4ruZzYnBw+JH1idNdO/L73NFPHD+R12ieCXFyRSQyHwIyEIhYu2ERIlxAs7S1o5evDu/QMTm74i3HLJ9AzOBiNVsv11wafhVarw8vFkdtXnjBn2ghq6+v4Y8txhoyPoJGdHa/T0ugVHMzDeIMLdd/qIxw5sY67sbHU1Kpp1sgDB4UFe45fZvrYgWSXlRGdkEL7IH/A4L5ztrQkMjGRMD8/csvL8XN0ZOeZq/QIa8Wxw1ex93Tg6udzCScv/UmBUkleeTnGRkZotFqaeXhw9MJtWrQOJNjVlX2nrjGwj2GX/ZCVRSNbWxQyGdamptyLi+Pm/psEdQyiSbPG5OYX4+Zsz8ntF+jzncFAZiWX08bbix9/3kVQp2BMFXL+WnuUYYtGkvgikRXzv0Hd0PAlKDxNTubZrZeMGdeXBo2G6NhkPD2cKFepCHFzw16hQC6RcCLSwIvITaVYyOXUNTSwb9Uh+k3vj16vZ2D7NlTXqTEzkXLk8h2G9DQYzmZMWI7C0ooJS0bRydeXDX8eJ+FFAnsPruLw5TtMHdKbX7Ycpu/gLgBEv00g5kkMG3+bT0JeHpdP3+W3FTP/VlD4t5Akf/xx9SqjOgs8QxqRVVZKXkkpl07fI+plDAIbGTIzGa4+3phamKJSVuPn7kJwj1580zWckdOm0rtdK2JzcshXKimurCTxbQrdhvbn+B+76DeiP6eOXKdnlzacPHETv2Yh5Kfl4xnsiUQqQS6XYmNmhrKmhg7BAVy5GklwWDBmCgu8Gruh1mpQVdZQWFlJdnEJXo4OOFpYYi6VklxQwIPzkbRuE0S/7u2xtlTgZmPDvedv0BoLKUgvQK1Sk5tdSGFDDc08PagW6TAxl/Ls8lOS3sUwcFgEn4qKsHG3RS6XIhQKGT9hCKvn/MSEicPZtu4w/i19KcwvJSTQGxszM168isHS3oKy/DJUFSpiUjPo2DSQlMJCvOztObD1NI1CvHhy9xXm7jY0c/fg8sPn+Hq4otPrqddquXLmHjNmjaSgspLmnp7UaTQUl1Qwa2R/rr9/T0JmNn+tP8THp+9x923Eq4fvcA90p30TP1au3k2XoWFE3Y8mNa+AYZ07sHHPSWxdbNHq9fTu34lHH2Ipzikh6nIU44ZHsPOvS0wYFsGoQTPpOSCcZl6eJOXno6yp4c71p1RL4OKOy3xISqNv11DOPo1iXK9wVOo6/Jt48ejmC5atnU2vQd04ffEuA8JCuX4/inYhAaQVFRmyBl9PUnLyePT4DT26tcVIZDCcXT5+h7iPqeSVldM80If7918SMTycEH9vpMbGONpY4aBQENwmgMjbLynMKuLa4VuUibR07NYKjUBP/+bNsQvxwMXairatmrB69W5M3W0oqqykoKKC96/iGT60O9amplSr1Wxbvp1eA7sS5ueHVCzmj31neJOYirO7AyYmYoRCIVsXb2PSxMFUCXVIpGK6t25KRkkJ65b+iUOQG/5ebtRrtagbGmjXsy1yF0s8He2RScQ0CfSmSbtAbM3MMDKVYC41QaeQEObnh5OlJYE+HhRparj/4CUvHryhw4D2nN2//3+PJCmRSkiMjcb3vS+LJo/Aw7Uxs1b+AkDXwEC27D+Ds48zFSUVGImNEAqFCAQCTkU9Z2RoKK8/fcJBYZBiPGxteOsTQ01lDb2GDcfJ0pIxE/vx/eodDB8bwcalu+g4tBO5KQaS65epc3nxweBiszM3p7ywHKmplNf3ntFrQCdm9BvA+Gk/sGTpJADqNRrW7DzGwsnD+X7MLC4/OE9xVRVFlZVU1NbyPCYBK0dr9i3/E0tLA0k0aslIZGIxRZWVTO41CCsrB/ZeOkL0m3jkEgmv7r3h4uFDjJ07E4CwcX6MnPstWr2eNRvm0CtsEHq9nu8nj0AhkyExEVNXW//lANKS6aOpVqupa2igqraWnduXUVpdjY2TNeEBAdRpNIzu1YWIrgbb7sHzuxGIhBRWVPDu/jve3H1DzyGdkZpKSSksoJ2PDxZyOZKfDcx6Tkou104dY3bQCrb+dRGhUMibB+9o0qEJ9ep6kvPzMRYbEfa5ZjWXSsksKUEoFCKWijl47S6LJg1n5cb9jJg/jiq1GhNjY8w+lw/O3s4EujhTNSac5xefIRAIsLJSoNXpeJOWzraF6wlp0+4LiSaRmfDD2t0079acsOYdefruKQ8/xGKuMOX2odtETO7NxXP36da3PQA+LXwwkZsgM5Nx52MM7gHubF26k1Y929K5W2vOHb7Bhp9n4mVvT3xLw8lWI7ER04b0pl6r5dCVO6y8s4+gsCDePP9I5IX7jP1xIjqdDufPDsI3t6Np0y6YlwnJeDo7ENCqKXGpGSikUt6mpTN1wkAsZDKiPpdAWp0OicSEpPwC0j+mETqwHSkFhqD+x65lnLkdyb2/7tJjQk8AfH09eHH1BaqOKk7EZWDjZEPMkxjaDWhHdUU1Lb4ZytIxM0hcNB+A2Kex+LTwwS3AnWvHTtG2X9u/vR7/LcqHZs2b609eu8bOrSdZuGg8wBepZ/uBc5jITTAWG5OdmI1fWz8u7zpP99G9GNmvKwVKJa29faiqNchh55+/ZGTH9vxx7ALWTtbEPP5I75HdcLa0ZMOKPYR0CSEwxIf8IkO9GezlQTMPD347cJqzuw7x4561OCgUxCalc/fIHX7euoALlx9SU1UDQNzzWIbMG8KxdQcZ98MkMuIyGTywC6MixiKXm2Nn58GgOYOpr63/0u9AaiplVOcOaHQ67sfFYWdujqVcjruNNd8v20rXUeHYmJpyZJvhgFC/b3tjJBJiZ2ZOUnYutdVqQpsGcP78PSaPH0B0ejrxb5Iw+1wCmZhKSYlOYc7Mkcz+9heWb57Dxh/38Ou2Rezef56bp07z17Uj5JUbJMnb5x/h4OHAL3OmsXjDVgoyCijJKWHXvhV07TCQb5bNRmQkQllsuN7I2IjRA7px6cEzWjYLwFImQyGTYWJsTG55GWYmUtxtbFi2YQ8Azbs0ZWDLlpyJesGgVi35kJ2NWCRCLpHg4+DA48RErM3M8LQ1HO1v0GgorqpCr9fjbmODuqEBjVaLRqcjNicHe4UCJwsL1m08BMD6FdNJyMsjX6mkpacnj5OScLe2JtjNDbGRESVVVdx6/4Gmnu4A5CsraOvtjUggID43F1tzcx68jyHYywM/J0d2nrjCiH7hRKenfwlsUrExdQ0aMkpKePb6I66NnPmUkIGHrxvmUinhAQFodTrKPsuwGq2WpQs2M3nJGPKUSvo3b8aVt+84v+kcfx5cSU1dPSKh8AvPlJSfh42ZOSVVlajUdZiIxRgJhWSXldHOx4eUggLKVCqcLQ19HF4mJGNvY0lpZRWtvA2KR2VtLf7OzlyMekmdup42TfyoqDHMUyu5HGcrK4xFQmrrG1jz6wG2rp3/v4dTsLF10l9+9ogqtZpjv59izILhX84yLNs4C1MTE5wsLbn+7h1NXF0IcHahoqaGtxkZOCgUeNjaYGpiaC5x++MHOvv7o9XpqK2vJy43l5yyMhwUChrZ2eGgUHAhOpoQN4MHvVylYubwaew6t5embm7sOHGZuWMHodXpkIrF5JSVEZ2e/mUCmxgbo9XpcLSw4PbHjwS7uXHj3nOmjuhHVkkJrtbWvEhNJSu3EGsbwwTo7O/PwN6TcPX04Ye1079c06pRI+JycngXk8yEPt34mJUFgI+DPUZCEafuPcbT0xkjkYi23t5Ep6VRplLhaGGBUqVC85lTkIrFiEUiFo6bz5FL+ympqiLUxweNVktWaSmu1lacuP+Yxp6uADhYWOBqZYVGp+Plp0/4OzlRVFlJiJsbWp2Oi9HRSMViWnoavBx3332gXl3PpF7duPHhPR+i4lk8ZSSrNh0k6VUSg+cPZtvC9Tx5ZiBKP2ZlMWPkbJbsXIWyrJJWAY05uOc861ZMZ973m9i5ZQnGIhHu7gaeZsyMuZhamlJRpCQ/vYBu47vx6/RlLNm1HkdrK9p6e3PrwwcaOzoC8NOcTazbuZgPWVm0atSIn3/YSXV5NWu2L8TdxpofVu/it9WzOHrvEQAlOSXUVtdy7+xVZm9ajJu1Ne42NljKZaQWFpFbVsbOH3czbc0UFFLDPHr+9D3HNm9n0g8LCGvXjGA3N5IL8skoLqGDry/jRizi6dML9Iz4BoBd+1ZQW1/PvY8xyKQmCAQC1HX19G7WlPNPovj46CNvnz5jz6mtAEiMjXmdlkaXgADKqqvR6XV42tpy9NZDkl4nYeVgRe/eHTi61/CbLl0ykXyl8gthqpBKMTYy4rd9J5k6ZgDVn4/Z/8dxep1Oh0AgYOa8X2nRowWNPJ3pGRz8t4LC17MPX/EVX/Ev+LfIFFq0bKm/++gRAEkFBTR1c0OnN+yCOWXlWMplnLn7hIiOrZFLJJy++YjuHVuSVlRElwB/zj9/iYONQV/uFdKUR/Fx5CuVVCmr2btyC/vP78ZIKGTx1DX8sGUBjR0ckH72QQgQkFJYiFwioa6hAU9bW+o0Gj4VFvIgMprJww2NRpQ1hjQxr1yJs6UlL1JT6RUSQteOg+gzdgQLpo4kp6wUH3sHNDot9RrtF6Jr6YrtzF80nlepnxjUqiXlKhWv0tIIcnVFqVKhkMmwkMm+yE8CgYDth86Tk5yDvbs9i2eOIbesjNzycv5ceZCjJ9ZSU1ePxNjwDnUNDfy0ahfNujXD3sGGTfN/o9fYATh4OtDGvzGFFRUc3nyaP3cuA6BeY5DP0pOyGNYrDIVMRnZpKWYmJmh1OizkcnQ6HctX7gTg59UzUMhk/LrnJGFdW+Hv5ITYyIiiykrqGhoorKiglZcXqjpDO7mH8fEEurjgqFBga27OlbdvsTc3x0wqxcXKChNjYy68fk0rL68v479y8wkLJw6jQaNhw5/H8WnhQ9egJiyY+SuHDv+MxNiY2nrD/Ru0Oi5FvaJXy2aAoSHKteev0Gn1DOncjoziYhrZ2fE4KQkw8FKnHz1lROcOTJv6Cxs2L8DO3JziqiouPXiGTCGnS9Mm2JsrKKqsBMDV2prHiYn4Ojqi0+v5VFhIW29vnqek0MzDA6VKhaqujmfvDV6UYV06oG5o4Jc1e/Fv48fUQb25/OYNxkZGxL9J4v2D9/Sd2ofMeEM22L9fGD729hy6fo/v+vWgtLqaB7FxJEQlMGJULwqUSnwc7Ln13KAAfRPRlQatlpSCApq6u5OQl4u/kzNX3r6lrbc3d96+Z3C7ttz68AGA5p6eWMpkZJWWEuTqSkVNDdZmZv97ygdPPz/9gCFTWfL9RNQN9Rw7fYuO4Yaxd/D15X5cHFeO3uL7Jd9QU2eQ+3b+cQJtgxZnH2eWTvv/+re8SE0lzN+fYSO+x9rRis2/LqC0uhpTExPuxcZyccclgjuHfHFE6jRapg7qza2PH2jj5UVCbh47Vh1EbCJm8KyBPLsaxZCxvWjmbqhP6zQaJEZGlKlUZJaU8PZDIr3D2mIllyM2EmEkFJGvVFKpVhOfYyCtTm44yY6DP2FsZMTJ6w+IifyIpaMVr+4/5t6DE6QUFrB57SF+32hwNO4/e4NHZ++z7dDPX0qAw7+dZPOOJZy4dp/8T/n0G971S+eiroGB3P74kZ7BwVTW1rL/7A0iurWlR+suZOcko26op16j/eJTaOruzqIlW9iwbg4pBQU0dnREWaOipV9T8guzEAgEGItE/LLTUMJ1Cm/Jo3uvSHyRyPG/1hGZkMDPM9fy8+6V6PV6mrq78y4jA8Xn/oCl1dU4KBS8iEsi8kwkG36fj42ZGas3H8LJ2wlTCzmWFuZfzDTJ+fk8evwGI7ERFnYWqFVqmjVpjJ25OS6WlqzYsI/M+Ezm/WJo0ScWichTlpOZlodYYsyY7mEUVFSye/dZKksr8Wvjh6mlKc6OhpIvO7uQ9w/e8d2cETR1d2f8N8vxa+OPqlJFWX4ZU+ePopmHB08SE9mybDcAHoEerP9pJq/T0sgpLaONjzc3n7zC28eN1JQsZOYyhnVsh0xskHk3Hz1Pl04tCHB25k1GBlt/3MuM1ZOwMTfH18GB/VfvMKJ7JyaN+QEAK3tr7D3tad29JYdWH8SpkStt+7X90jO0eWMv3qWk0aN5CABnbkUS9yyOIVP6kZWVT05yDpnxWez+80cO3bhHTWUNaR/T+PkngwHu0rOX/Dp7KVOXL0FZXEFYr7b0CAr63+NolBobY26j4FFCAsPbtMHayfqLe624spKKmhrOHd1J+PDOGIlESIyMuHHuKFN//JGayhr+OHaB2WMMrczylUqGjfies6c3MnDgPC69eUNjBwesTU15cfMVD++dIahTMHJzwwSur2tAqVLhZm3Dh6xsGjQa7N3teXDtAoHvAhEIBcR/ysT+s7qh0WpxsLBAJhaTkJZF3qd8Xrl8olpZjaW1AnuFAqmxMXEZWSiLKgCDK9NCLie92NBTsLpChXsTD7oO60NkYiJOlhZUllRyOyYGMDQ1MTVX8CwuAYXCjNzMAgRCATqdDnt3ewrTC1A3NHwhlYoqK6mpr6eytpYb795TX1dPlbqO1q37kFdeTmFFBTKJ5EsQ0Wi1vIy8y+87bQgJC0ZVV4exkRHt2g3mY1YWFnI5AoGAvFSDQlPQwgdbV1tun7yERqtFJBTSeXAP1A0NhLi5UlZdTaCLCyVVBjXk1vlH/LhoIkHeHghHCZGKxagbGvBq5kXbAF8cFAoKKiqo/eznqNNomDy8D+8yMrAxN0ckEODn5ERkQgKlVVWIjEV0GNyes0cN7TmmTh9GkIsrbtY2fMzI5NWnNJp5eODq54qNsw0RTUO4FPWKdo0NrdJeiURYjbTAztycsupqpiwbx7nDNwznWqyt+JCajlQsJulTFjPXGAKPUCBAJBTyOjqO4Ka+ZBYXU5RZSEgTH5SFSkb2CDM0lf2cHdm52ZKUl4/Y2JgmLi50GNIRZysrxEYiKmpr6NKmKZZyOf2m9wegma8Xb+JSaOrujp2zA8Om9MdSJiPE3Z3iykpkkv/D3ntHNZnufb+fkJAQQmiB0HsXFFFAxIq9j2OZsTuWUaf34lQddYp7mo7O2MeyLWPvHSsgNkCK9N57Agk1IeePm8161jrnvGef913Ps/Zea19/ZiWBO/d9/a5f+RYZD9Oz+3oELY0tyK3kuNvbEebuzlWJmLqyeiRiMU5ujkyY1J9P0rei6X0mJOYSps1bzNIXJ3I28SF5ef+UPKNw7f/0O/8bV2Ojlrtnr1NTXIO+s5PSrFIuXE/kwvVEnhQXo9PqmTh1CW36drIeZ9PW1cXrX3/Fka076NB3oHJV0d7VRXtXF60aHSoXeyEgnN1CS0MLp47foKO7m4ykVEJChqLX6unq6KKro4u6sjrMJRK6DQZcbW15kpBOYGQgzs6+dHd2Y+oxUVNUQ0JmNgmZ2eg7O+k2GOgyGqktrSXnYQ7dHV0MCvbHx9ERsZkZ8XceU5JVSmV+JZX5lTRVN5JeVoaZCKxV1qhc7DEajBQ9K8JeoSCrohKvUC/qSuuoK61j5cLpJNw7jdhcwtVDN6gtqaG7V2wjJjAAKzslFTX1lGSXUZJdxpXHKXg7OGAtlxPg4oymVsPDx5nI5BZkV1UJKWxlJY06HY06HVWaZmpqilF7qtHUa+no7qanp4egSGHGnVpSQlZFBVfPHuHq2SO0NLVw96+7ePuFUFBby/5f/iJ65EASbz0ho7wCtbU1J28n0tzWRnNbGy8vmkxWRQWVzc1k3MtA29bG2eRHTBg8kL27T2Ps6cHfyYlGXSuNulYun7lDt9FAamoOZ87eItDFhZKGBkYEB1Oj1RI5dhBVhdWsWjOHVWvmcObSXazlciqbmrBTWqFSKjGZTEwdHYOmXkNGeTlODnbCBMNopLCogtqKeu5l59BpMNDe3U3kxMGEe3kS7OqCqceEl4OKGSNi0La1oW1r4/aVB2SUlzMqNoKObgGdOnvOeHwcHRk2ehBnEpIpa2xEJBIhEonITykgLrQf+s5OrCwsSL4gkLlUVkp6TJBbXU1yQQHhgb6EB/piq1Dw1y+H8FSp8O7vg4W5OeFeXphMJu7n5pJdVUVIgDd2lpbYWVqydN4UfAb40NElHAYzYqMYOz+ORp0Oe4UCmUSCm78r9goF9goFI/r3I2x4GMmFBdw8eJP+/fz+6f34L1E+REZGmvadOYPEzAw/tZpOg6EPAns9IwO5uTl1LS14OTjwLLcQbb2WQZH9kIjFuNrZsW3rEWYvERCNHyx+n7sJZzj79CktDS289sIUNv95jIUvjGfO1OWsWPdmnyAoQJCLC50GAyX19dxKeMqymROJz8qiRatD16wjNjIMuVRKdpWgctTZ1c2cIdEcvHmHF4fHsGD22yxbL0hgyaVSon19eVpSzFD/gL769FFOPgtGDaehtZW2ri6elZUx2NubbqORtq4uHJVKnhQX49074fBXqzl6J4F2XTuX9pzn+JmtXM/IIMDZmaK6OqYOHEh2VVUf7r6htZX80kqcnVRIJRIuHr6B2lPNnJljyK+t4XlqPlcPnefaDUG4NbmggLySCjLuZbDk1ZkEu7pwLyeXoQEBZFUIm7zbaOS3H4Xy4d2Pl+JqZ0d8VhajgoNpaW9HaWFBp8HQB6tVW1tz+I6gpBTs7UGYuztNOh32VlbkVVdzNymV0cMGEebuzpPiYhQyGWprgdDVZTBQrdUS7uGBhVRKTlUVNRoNY0JDmT79TTb9/glqa+s+FqaPoyObdx1jxYJpNOh0uNjY8LCwkEhfX5p0OtTW1jwoyGewtzA9sTA3p0arxUOlYuzI2dy5f5qyxkb0nZ1Yy+X88ftxvvxkBVKJGHOxkDyLRCIO37nP7GEx5FZVce9BGjPGDaOzuxsrCwsclUqqtVqOnrwOwKDYMNTW1vz05W6Wr11IjL8/+TU1JKc9p0PfQYe+A5mlrI8ubm9lRU9PD9dTnhHm44m3oyNZFRVo29sZFxrK9cxMwj09uPNM6FlMjR5EUn4Brra2hLi5UdogSNE3tgpwfRtLS4HCXiGolEcE+RHm7o6+sxOZuYSC2joGenn99/YURCKRB3AQcAZ6gF0mk2mLSCRaB7wK1Pe+9bNeabb/1+Xs6mnasGcPMoUFXe1dTBkymB1/ngZ6PQHkMl5fMpPMigpemfIyF+5dwmgysX/3GRYum953AoKAi7dXKKjVajl1/Ab2znZ89MrLGHuMfP3zPgaOHEBeWkGfJ8A7K+Zy/NZ9rFXWeKhUPHqShZWtAgsrOYP9fKlvaSG/tJLU+FQAJi0Yy5TwgWRVVmIymUh4ksGk4VFklJcT7etLj8nE2KGT2HP+ELnFQg0/MSqCPYfOM2XaCMRmZmRXVGJjpaAgu4QJo6JIzsxFYaOgQy8w6OLCw4hPSWdqTCRjhk7m/O0zJD3Pwc/NhUHe3jwpLiY7v4TGagGnn3k/g8MHv+VpcTFeDg7EZ2XR2d6Jv7sr9+4+JWpofy4eu8n3X70OwJX0dOprG4kI9udZfjEvxEbzrKwMW0tLPFT27P3rMj1GY1/5EzdjGIaeHkYGB5NVUcHNaw8YPiaS1o4O1NbWhHt6cD4llapCIXB+sGg2P/39FDYONkT1C+RRZg4/f/A1+y4c4ti+C0xbMB47S8s+xmBlYxMTwvuTW11DbnE5Q8OCkYjFpJSUEODkhL6zE3eVqo++fjQhEW8nNUWVNUQG+WHsMfW97x+b/cLxeCLGCo1IZ1sbDL0jun+k+8EuLjzKL2BM/zCK6+upam5mfFhYX3PSUirl5O4LrFv/GpeSn1BXVsf7y+ZiMpnIr60l/v4T+vX3Jy+nRLgHCZls/v5dGlpb8VWruZudzRA/P/Jrawl2ceFpSQmnj1zjm0+F8uRZeTl376Dpvd4AACAASURBVDxh+qThWEilpJWWMtDLC0+Vih/3HWd0XBR+akfkUgGvY+zpoUajITk7j5dHxFJUV0dxfT3DAgPZd+YqC6eP48rjFES9B4Wzoz3Wcjn6zk5a2tuZNKA/Vhby//ag4AK4mEymFJFIpASeAjOBlwCdyWT68Z/9rtABA0xbjx6lqKwKB0c7zu28yOJ35wLg7eiImQhcbe14UlxMpI8PKaWlRPv6IhKJ+Gj9NpavfLHvVHayscHVzg6ZREJHdzcd3d042dggEUvoNnTTqGulpL6BAGdnAOa+8Bpfb/8cbwcHWtrbqdJo8FULSMRarZZ7d58yMLofA3sbjRq9nhHhMcSnJLLlu/3s2vY5mRUVFNTWora25tfPdvHn3zey7rvdTHt5LACBLi5kV1VhMplIffyc/oOCsFUocLOzo6S+niqNBidra/IKhSAycnB/PFQqiurq8FSpWLbwMxauXYCvWo2vWk1+TQ3Wcnnf79fTew+v33vM4EGC8IdIJMKyt5aXiMXcz3jOpjWCsOrUlxbz0YdLaWlvp0aj4avVX7Hj2K94qhzYe+Yqrr6CQtA/cArZVVUkpmQyZVgUn7z9Ix9tWk0/NzeqNBps5HI2fLeHaQvG9538BqMRY08Pwa6ulDU2kFVRyczBgylvasLF1oafdh9n0uRhfdMTiZkZPo6OSMRiLqWlMSIoiMrmZqzlFjzIK8BKboGv2hGlhXDNJfX1iEQihvj5sXbDH3z16UquPnvGQC8v9uw+zYa1q+g0GKjp1Y9ws7envasTbVs7F+KTeGf+TBJycxnk44NULKagthYXW1u07W14OQjZmratjVqtFj8nJxp1Op4UFTHQy4sryU8wE4uZPWIoCbm5tPQa7AS6ONPW1UVRZQ0ySxmxAQEk5OQyLCiQzT/8ydq1K+jsLVFBwClklJf3YV6cbW1JLyvDXCxGZm6O2EzExTvJdOiFILZ01gS6DEZ0HR0sn/MG+05uRy6VsnXbUdZ9+ioNrS2klZbR2CBcs53KhukREXQaDJxKTCY6OIBQd/f/2emDSCQ6B2wDhvH/MygEh4WZvj9wADtLS2IDA3leWYm4V225WqPFUalk/+4zrFwzm1tJqRSmFRI1OYrMhExenDuObZsOsPFv7wDwxitf8spXy0i+8oiMpFR0umbGzJrKuveWIRFLWLf1T6JHDuwLCtq2tr4060raMwb7+tDW1UX8ncckX0jm4x+Ebm5tb9CxksmI9PXlyrNnBDg7MzYihrNJt8kvrcTXw4WWjg40mlbCfDz7Nuu3H2xlx4FvsDA3p6yxkbKGBrT6NmwUllhKpQzw9CS9rKyPSDU+LIwJ4xbz5ub32P7Jr3z222c06nQEOjtTXF9PiKsrFlJp34iuvLGJ1IdZvDJ3MteepnF++3nsnO3wDvUmZlQEZZW1ZN7P4K13FgKQVlrKhV2XaKxp4Ls/PqFao0VlZUW3wdA3qbGUSpkSI5BrUnJSKWtsZMf3h9iy9RNyqqsZ5OVFlaYZLwdHjD09aPR6iuv/kRyCSqnE2caa1o5OxCIRu45e4NNX53MnO5vhgYG0dnRg16talF8jpLweKntKGxpRyGSYiUS42duz71o8s4bHIBKJ+hqZNpZyugzG3jLHgMRMLPR4tFospVKUcjnljY0E9YKdugwGjt1LZOHoEfx5JZ5XJo0RYOBKJXUtLTyvrGR4YCDmvQcJgL6zkzvPnzNj0CBaesVcBnp6IjM3p6W9ncrmJnwd1X2sRysLCzzs7UktLSU2IIAarYZAZxcS8/LwUKk4dPQyLr4u9Av0BmBYYCCXn6UR5u6OuViCq51dXyCSmUtwsrZBbGZGS7sQdGwVCmo0GpRyOeZiM+RSGQ2tLdhaKmjS66nVauk2GLDsRQL7qdV94iv5tbX4qR1xsrH9nwsKIpHIG7gHhAHvA68ALcAT4AOTydT8v/q8b3CwKdh3FHEvjeP9JbP58OvfmNJ7yrra2nL85A1unbrMCytfQiQ2Y9LoISyevoypi+aR/eA5MTOG8tZ8gTv/tKSE7Rv+5PbN44SEDGXhp8uwsVUyIiiQPw6cZd3br/D1lj/7UnVLpSWfv76IIwmJSKXmlOeWc/t4PPE3D7I3/gb71+8ifHgUU+eOAaDbaGSApyf6zk727T+H2lONV4A7TU1aTD0mwgN8eF5aTklWKWXZwkx6yNRoZg6PQdfZwXuvbiI7+wFrvl5Lxv0MXv9oEdkVlWx89QNWfyWYcyusFTy8/JAZK6eia2sn70kep/f+ScKja2j0er7ftJeAyIA+7sP8uRP7TqHsqirKGxoZ4OXBD1/u4vNNr/Wd0E/zBGGZucOG4u8TytvfbKSzvZOhowdRVlnL0b8d4Ltd61AplZiJYOvWowCoXFRUFVXRoe/ghx/e5eD5G5TnCFoNno4ORPn6kllR0df5Lq+qY9bwGE7cTqAgtZDlKwQ/hP3nrtOvvz8utrZCEOo1y7mfmc20qMEcvX4XB1cV0yIGou/sxNhjIjEvj7O/n0dho8A33BeA8MgQNHo9HW2dlD4vZfS4aGwVCupaWnhwJ4UZ00dx4q/rvLpMmEidunaPAQODsLawQGxmRkZRKWd/O8PwF0cwcWwMO345wg/fvsPd7GzqGoRHVVuv5e15L/DXg2RqSmqwslFQkFpIeFw4T68/ZeXq2TgqlX3p+sbv99BvaD+cXR0JcXXll80HmLNiGmIzM7x7GZq2lpbcyxEk5LXtbVw5dIN3PlrCK7NeY9nnrxHdPxhftZqq5maqNRruxT/mhRmjAbhyPYkrh86w+tt3CHZz5UFKFtcPXOPgsR/YfugMH6+cx5jR8/hh37cAJD/KIPtBNq99uJCDe85iq7Zl/TvL/mdYkiKRyAq4AnxuMpnS1q9fnw18D+wAooDZ69atO/f/8LlV69ev37l+/fpVHfoO15dfW82DCwnk1dYRPjqcH9/9lrsX76AK8ubKgXOs+OZ1Hl99jF6jZ8bE4bSYSakuqiZyYhQhYX6klpaSXVVFtK8vVW2tDBk9BmdPN16dPYWr15Owd7LD3sUe/5AhrH9nOXRIKcsvYu7quTwpLOLc1rOExoay48sfmbl6HkNGTmDS8CgU3k5cPngaiUJJWXEVTc0t9MglNOl0pN5LZ9SkGOJCQridkIJIBA2tOu78dRdNrYbnaU+oq65k5ZqFfPz6ZkZMiCY3v4ypS2bz2+friRw5nIhBIWx44xsWvLuauyfuUJJVgn+EPw6uDiwcO4pnhSW0teiZMH8GcrmM8qYm/vbZWprKWsh68pT89OcoPV2ZFD2I+Kws+ru7c/v2Y2IjQmk170Hb04UJkEkk9JiBXC6jqlmDvdqHiZNi2f3DbrzCA8lMyMQzyAeZWkl+aSWVGg0KGwX2LvbcOnYDd39PXlo+jfikp9SXN9DV3sW0CcM4czIeDz83rlxPwmAG2lY9kSEB/Lh5P0kX7zF0+jCePn2OSCmjvLiaB1cfMWZMNDlVVZiJRLR3dWOrtOLwsSto67U8uvKYBlEXKVn5eLo7MywwkKyKCkJiQggL9cPN3Yl6bQt2VlYc+PYAkROi8HZ15ur1JLLT8lm97EW2/3aMlsYWblxO5PbNR1TkVPD4Tiphw8KIDQjgl41/YmVjRXdXNyXl1QwaPwgnGxshM/n1L0qzSpHJpWjMe5g5eDAbP/mF2YumomnV8ejSQ8wtpDx9nIXJwRIHpZIug4GK5mZ0Gj1LJ49l59/P4+ip5s65RKw97Bng7cXeU1fQi3tIuPWEkqJKCjOKMJdJcfBW497Pn/sn72Pj78Sd+ykc2nICj4G+PLn6BIWXPbUaLRaWFgwYFsH57Rd4e9VL3E5KQeWiwjfAg5P7LuE/OAAbTxdcXRwRiUSUFFfS3tpOxrM8lHZKuju7SYi/+E+xJP+PRpIikcgcOAUcNplMpwFMJlOtyWQymkymHmA3ggP1/22ZTKZdJpMp0mQyRVpZ21BbXEN3dxc2altEZiJ8g0LxDQol73EeycnnGeTrQ3lBIVmPU4UU186KqMlRNNc1U13XSLinJ+Gensil5oLXnq8zniEeAq22o4sAZ2cCnJ3p0HcwbNiLJCaeJjHxNDaWlrip7Hn06ApZSVmY6CErMYum6kacbW0pSCuksbGSjPsZZNzPIPFMIj6Ojtw+n4BcKWdYQABF9XWYekyUZJUS5ONBUe5zrOysaG6uobm5hhBXV3wG+NDe1UVTVRPp9zKYt+Z1jMYeGltbqa8v49ntZ/T0GOjpMSAxFzM6NoKiujq8XNSovZwoSCngaU6BUH/7DCA39yHFxekUF6fT2qzrRVM6UaPVsmLeNPJranD3dqEwtZAH1x7R30OY63uqHHC1s0WulNPR3U1hYRp+nq48vZuIoctAa2MLMksZnW2dDI/sz/DI/tRUFwEC6MlkgobKBtISH6Jpa6OurA43e3sc3R1IjU8lNT6VAGcnvEO9efbsNvXl9Ty5+gRnW1uSzifi6u9KSnExRUUVWJibY2FuTlVzMy2NLXS2d+Li60JdWR02Dja9vheZZNxNpyKvAkuptA8sdGTLSTIy7lGQVkh7Vxc9PT1Yq6x5XllJc20z54/vISfjKTkZT2msryFqUhRmIhFZlZXkZ6dRWVLG5eOHqSqo4tRPJ5GIxZiLxZQXFVJeVEhbaztxISGYmZnx4MFZLp66hbahBX1LG9VF1ahcVXg7OOChUuGhUnH3xC1qimu4kZFBc10zHboOmmubuXkonk6DgfGjoxkZFISFwgILhQXJN+7Soe8gK6OA3Ee5PHl4k7LsMmpLawmIDOTu8bvoNTrkFjLkFjL0Gj3JFx9y//5JOrq7yEzIJOXWY9q6urh4bif3k5/x5NpTEhJSSUhI5en1p5TllGLoMmA0GKkrq/un9/X/dlAQCXnTXiDbZDL9/F9ed/kvb3sRyPzf/Rv/Wf9Z/1n/8+v/ZPowHLgPZCCMJAE+A+YDAxFcpkuA1SaT6X9pT+Ph42eKjZlD9NRo5k8dQ5CnH9/s3AvA4unj+tR4pRIJfmo1lc3NuNvb06jTsXD8i5y+c5HOXs3FCC8v9l24jkxh0TdG6jQYmDNjDT/sXs+lS/cZNKx/HyR3ZHAIaaUlOCqVOCiV/HbsHP3DA4m/kIB3qDe71/3MgvdWs2K2oMjTbTSw5pX17DqwngmjZnP00gFqtUKjzoSJvTtPs3L1bN5b/iXDpo8GQO2pxt9PYChufGMjnr4BrN24hryaGpxsbHj2vIDHVx8TEiMoEb2/eDZbjp5lVGwEoW5u+PmEMWzETL7d8gHeDg4ciL9DgKdbX3c9rl8/yhobaWht7cNK3MvN5WlyJqvnT0cqEdNlMOLrLgBYvv59BxV5FUydO4aC0kpObz3Br/vWk5D+HE83J4w9Pfip1aT3wqLNxWI2vfYVM1cupL21DTOJmEHDB9Cib8NL7UitVsvzRzmsfU1oZIrNzLiclkawqyv7D11g1KQYhgcGciMzs0+BenL4gD6LtoqKWl4aM4KU4mLOHLzKlu/f5/bz5wwPDORRURFnDl9Daa/kk9cEOPsvf57AK9SbESHBvDL3HQ6d+o2UkhJ81Y5s+uR3Pty4io5eHgtAQW0tTXo9LTo9Lip7fNVqjp68Tty4aHwcHbn6JJUXY4dgZWHR1/RMfJbF9GFDsJRKKaqrI7uqigEeHqSVlJKZkEnc1Fiq6hqJChLUlq/cSubFSSPJq67Gx9GRUxduM3zkICJ9fTh6O4GpMUIp39yLtbC3smLjpt18+NFSzt9+wIy4oUjEYuwUlkjMxNzNyeHO5Qf4DxK+f3LUIE7dvE90RD/WrlrHp1s+ITe3hLaWNsbFRaO2tuaLT7Yyc42gal5eVImrtwt2lpZsePNbfty3kUhf338f7oPa2d10OekeNVotZ/dcYsV789jylaC5+PL7c7CRy/F0cKCyqYmiyhoWjBpOQS+JSSqR4GRjw+BBglX8gfP76efmhkavx7zXZuz4rfuEBHgT7euLRCzmaGISbiqBQGVvZUWEtw/3c7IZGhDAzwdP8tq86cilMgy9qjcJubkYewlaPo6O9JiEBmhyQQFx/UJY9eo3rNv8No7W1nQbDOw+dhH3IHec7QUu/OiQEML7j8Bg6Obuoxs42diQU1WFv5MTyQUFJNxLYe2qBdzMFJKqRp2Ol4YM4c0PNvPmB4vQtrcT5evL8QfJ5D7OZenCaWRXVvbN+Y0GI052tlw5foulK2eikMkQm4lQW1vztLiEIX5+FNbV9cGKFTIZPo6OmJmZcS09nRA3N7oNhr7Xjty9j7lMyotRwvOTkJdHvbaFSeED+P6Xg4jEIj54cwGff7YNlZuK9tZ2Sp+XcPivHwDYd/46uzf8zKYDP2NrqeBB0jPaWtt4e/kcftx+hA0frSS1pIQl0xYBMHT0ZEbOGYHYXMKTq4+RSM0xdHVTXVTDoo9fZlxoGIV1tbS0C9e78Z0f+fvxn7iXm8sQPz9+3XYEjxBPFDYK5o0cxvZj54kbMZjjh68I3z95CDWV9Vzec4nf96+nRqNhgKcnRXV15NfW4OuoZtbYWby58QtiIwWZ/bLGRs7vuoS9qz0vzBtPmLs7CpmMiuZm7Cwt+eyLbdy+cpovdv8EQJS/H8GurhxOSCQmMABtWxsSsZggZ2e2/XUevxBvMpKfM2a8YC1va2lJTnU10yMi6DYayK+pxVOlIqO8nIznhbQ2tbLspSnkVQvnabCrCxbmUi6mpDIpfAAikQipRMynX23nlTWzkJlLCHF16xvNG4yCb8eOI+fxCPZgeuRg7BSKf5+g4Obla/pi63YOfPcH4UOG8t4nS9mzWwAvlWWXkZRwlvScFKLCRzBz8XIiJ0ZiJhL1CbFkPMlhdFwUICgJZ1dV4qlyoNtgQCIWk1NVxbDAQBQyGZdSUjm39SyPHgkPTPKzRIrr6xkeFMzsOe9TVVnIlEWzcfFzYWhYMHk1Naxb8RF2dkJVVFKSwa4LR1i/5msmL3qRT1ct4ElREedO3SLxcjyL175K8oVkbBxteNBr/HE1/gg//nGE4eOjefIgA2cfZypyK7Cys6Jd185f23ez5puPOfqTICKy9PPVvDx6OLlVVTjZ2JBcUICF1Jwrh28yas5I/r7pIPfunUCpFALbgtXvEBQt1KuNVY0snjqWk/eSGBEeyub1u6kuq+TS5Z19KM7UkhIkYjEaTSvrVrzJpr/v5L1Z8/n6j9/JuJ+Jd5g37bp2PlwzH4DQwEGs37edV8bFsefSdaqLayjLLmPV+/P57sPfOHr8b5x+9JjTvwj37OCRTRy5dZ8P5y3guwMHSLuVxubv3+XrjTsJHhKMucxcMEaNEFytG3U6dnz9J05eavrF9qMovRhXP1eWzZ5ERnk5D5PSUdhY4u3v3vfM3DmXyMHtm9l24QRNtc08vvqY4bOGM6J/Pz575yc0TXXU1QnTHwsLBSvXvYOXuzO+ajWLXlhJ/8gYSvMK8Q8LQlOvZcv2T9F1drB6oTABipk0jHdXvSyMB1XO/HryJM+TnpP18BlDp45Aaa8kJrp/39hz97GL3Dt9m/f/9jY/ffgrs96cy55vtmI0GriTeI7HhYVE+fmx94zg+3D01z0sXfs67bp2Ots6OfTLbyx5/21uHruMd1AgZmZmmInNCB0maE4Yug00Vjay56dNFJXlsO6HvVgoLFj1ykzGxU5m2JhpxL4Qi7lUOAjLcypoqmmis72TIVOi2bd+B3fvHvv30Wg8dOjAuvc/eJf65g5mLJ7IEH9/BkQEERsTztVLCcROGI+Nu4q6snaipwzh2r6r2DnbMXxAP8Lc3flwzSd8/sFrONvY0NDaSqCLM0V19dgrFNy8/4R+/t6IRCIScnIxN5cQGhuKm5s/A2NimTQyGi8HB7KydJw+9Qvf/Pk7Oq0OL3937t99yuy4YbSaydBUt2JhoUCn0zByxnguHT3FZ+s/EPT8LS358cvNtLY2Y2aQM/SFoUTH9Mc5wJv+QyPwcFUTFzsIH0dHnN3VqGyscfd2QWGrIPnKY+a9v4RQf28aG9pw8fTAxtGGgYG+6Ds7qNFq8VSpsFMoeJT4jFXzpyNys8Va5sbwSRMYGDOMHqMRuVLOzOEx7PvtBOMnDuX86du8PCWO/XvPcP/+CeYuW4JSLkcqkbDzx8MMju3P7nW7mTx/LiKRiMq8apauWcC+X3cQ0D+U9tY2PALc0bS10dZhwRuLX6RKoyHA3RVvXzecgt1wt7fH0tsBmYWUmIAAvtu0iYaGClQDglk8ZhR1OilDRw1ixMhBKC0sUPu5EBcexsGdZ5g9ZxzOtrYo5XIBNtzfA1snW5ZNHY9PiBf+vu7YWFqSUlzC6KhwdCYDd08lUJRVwtJZE2lXilGrfHnj5elklJQyYnw0Lw6JorShAfeBPrj4ejBx4QyGTxuLg9qVN16ajgmo0Wiw83Cn/4j+BA4OZvq0UVTUNjAoIoTrj1MJjQkjNCaM4P7+hHl48KS4GLGZmhnTRlFYXMHoOXGMHT6Y6NAgvB0dsJTKkJmbY6aUkRz/FPf+3gQOCiLY3wvXkADyU3IZEBfFYB/B5DfU34vwIF905lJmjBuGu5uaWo0W/5AwJk8ahr2fG7FjIzG3kjFp+kgigvwI8HanpLoOkZmIqFFxdMslRAwKwc3HBSsLC0yWdoglYmZMHkGAqwveTmr6hfii8lYzMDKEkaH9uHP7GVmZif8+Go15OQWs/3Arj5Iv09XRRYLLIw5v/w2A6fOWcu3kcZYsf4G0J3exUdvy5fdvUq3RcPDYFZprm/l85ya2HRGmnm/Mn8HjoiK6DQZOnb3FW8tms//cdcIGBDDY14eLNxI58usuTL1tEBu1LSZjD1WVhey7Ec+ycXGcfPSIzIfZzHohji17TrBl3SdMmiJoNA6OiUPX3sGqrz5i1dzXuXzzKBcePeGtzZ+QEp9K6LBQzm8/R27uI6qrBVzA8tpypk9ZyYxX53DnrzsMmTqE6qJqgocEEz05ivfnLuD9TZu5cU6QY3vr3TN9yshO1tZ8/+VOoqdEETaiP+VNTez84mcqKvLQ6wUY8sr3vmT8sEgOXbjJ7Ddnom1vZ+zMEWRWVBAxdhBjFwpydDtPCWjz+W/M4ubZe3zy8/vMHzOVD77fjFJpR2l9A69/9zEFKQXIFBZ9jlJnDu8kL+05e45s5o89p7h67AQL3ltN1uNsrh4+x6hT21m64DNe3yDQguePHM7yletIfXwHC0sZ+pY25q+cQVp6LtvX/8nWHWup1mg5dEbgDdQU16CwUfA86TkHvtvJ0rWryUzIYu2ny3FX2XPq7C1MJhNvvCNkLm+/+T1DpkZz79IVfnS2QywWc/voHbRvzWSglxd//XQCGwcbqnph5lVV+Ri6DXTo2vnw7UUc3XmWzHsZOLg7Yurpoa6sjsLaWpaOj+OT9YKGRFLtAwyre4T+zNWLjJ83BicvJy7suEhGqDc1xTV4BHuw/BUBH3P13D2GTI7BzcmBm2fvUZBaSGFaIdOXz8HO0pJbz59jr7Dq6yl0d3bz3soNfPrT2/QYeyh9XoombjAVeRUknXuAmcSMhNOJfVDt6KH9efQggzO7D/HuK2c5fOMu+pY2NAFtpN1K5f3vX+PK7WRCBwQAkJmWh8JGQcKp+7RqWnFwcfin9+O/RFDw8vPCycuJw9+cxkGp5P6zLC7cuwQIkd3SWsGjzBw2HtzCs6RMPFT2fPH2T4xbMh65lRxnGxumL3oREJBo29btw8nLicDIQOKzBC6Dr1otsN+Ox7Pow9f6jFr6hwcyLDCADn0nVYVVnHz0iDnR0cTFLeSL1xdRXVTNzyeOIe51J5LKZUyLiCBRmceek79T19LCxMERXH70lKnzxjEsIIDOtk5+iP2Ua/cFP8z82loOn96G0kKG0Wjk1O9/Z8W6N9nx+U/cuX8an7vXWbf6K/ZdEAhI+/afI3zUAEaFhBCfkcmGzW+z6MU1HD23C5FIxIzl85FZyugxCIFtSEx/fNVqXp87DZFIRHpZGaOCg1n7ze+8sGACReXV3Hr+nJnjBSFTbS80193enm/27GDVtInYOduxadXHHL16lGlDBtPa0Ullk8Ct+HrXNkw9Jorr69n48asMnxjND+98z8/7vyN25CDEIhG/7PqM7zYKfaBrvm78tn0tm3/zQNugZfXb85BJJFTkVrDis0W8tfpbPvvhDVbOFUhsJQ0NaNvacPFzYUi40GydOTIGg7GHyqZmKvMraaio7wMvbdj8NoeOXyVu5jSUdkoWTx1Lx5xJ5FRV8d7KDcz7ZD6Xd13i1W8EnkFhdgnRUWE4KpVcTXuGTqPH1c+F8twKAqMCUbmoGBoQwNX0dJprBPCSb7gvo0NCyKuuZtrCBdTXNdHS2MJb61eQnpnP/CVTCXJx7vsts5IyefHtWVTVNbB02Qv89uMh3v9uNdlFZdS3tjIuVDBxOfdUEE0pfV5K9KQhmJmZsf3LjfQfMBIRMGfuBIrq6tBqW5FIzZkYPgCAg+dvcHjLH7z65QfsPXedloYW7p65wR9/38xFtT0VjU1c/vMscXsFwWOJuYT9327n421fU11Wi1Rmzp//nzmCsP4lqNPtHZ08vH2LpKRn+KrVJJ1J5HllJc8rK1HbWGPsNnB17zXyM4owl0po1rfR3FxHWXYZN45cIjO3GGNPD8aeHgpra5FaSLl18TRndxynRavDwkrAzMffeUz8zYPomnUo7axQ2lkRfyEBuVSGi58L/QYHkf04l7i4hdy+fZir6emkJN3j2e1nuDiqcHEUbLm0bW0EODvz556z3H+WRXJBATa2SqrrGymur0cml3Lw0EUeXnrIw0sPSc0voqenh4ZWHdcOXqKo6BndHd34+IVR1thISXk1JSUZPHiYzoOH6YQNDyP+8C2eFBfRYzCyc+9pSkoysLdSYCmVUpFXQWdbJw0V9TRU1OOgVFLe1ERLezs51dU0AUQPRgAAIABJREFU6fWUNTbSVN2Ei60tPu7OeKhU3Hycxs3HaYS6u/P3P37hRnIKJVml3MrKwtTTg1rthZkIOrsNSMViLp2+zaXTt6ksqOL20TucO3aD8sZGkm89JTRqEKm5hWjb23GxtSW3uppJi8czabHgXdHe1YXaU013ZzfdBgN2CktUbg40tLbyxtfLcLKx6SOyPcnMJdjVlXZdOyk5BYS4utLW2YWNpZyOtg7qy+sRm0tob22jvbWNBwUFOLg74B3qTXFGMTnV1ZQ3NiIzN8dvgB/uKnscPdUEODkR4OREh66d9q4uqpqbcVXZEzM9huxH2QRFBxHVL5CKPEEMx0GpJHJSJJGTIjGZTFjL5Wja2rCys0Kv0dOua6e0rp6C1AK6DQaa9W1C7W9mhkxu0efDAYL+gb6zEz9Pgc5sMpmQS6V9rtPjl4wn434GNnI5Cksbhs8ajkqpxN3ODn8nNRKpObmPciiqq6Oorg5zqQSZTI5cKSekny82jtaYm1sgMTPD1d+V2dFRNDRU0KzX06wX/tfQgVHYKxQ8uvyI2tJ/HqfwL9FoDI+IMP116RL30zIZMTCMrMrKPlXdzb8e4rU1c9jw1Q4mLp3AYB8fhoZFcTrhRp845dYvdnPypNAF3vzncfzCfMhNzae7sxs7JzvGDRuMpq2Nnz7dwaz3ZhHt79enqvv3a7dZMXU8BbW1nL10l5lTR9HPzY2r6elMGRhBelkJTTo9D5MFARSjwYhffx+e3HhKzKRoTm07y9TVU9HUadA160i/m86nG1aTUlRMfy9BHPbjV9dx6coeHhUWIpNIUCmtaGnvIMDJiZfnfMDOgxvoMZk4e0uQmn9t1lTeXfsL4XHhqNX2ZD3NZc70ODZ9uYOoyVFMiB1MW1cXst7pyqnzt0i6kMDRk78wIe5lVnz1Jj9/8DWvrV9LQUoBZmIRq15/iVvJAtPz3ol7hI8ewIX9f7HrxO/s23mKqElRRPv7cezUDcpzy7FWWffZ0r37xTK6DQZen/cWl+OP0dhLT67t7XdIxOI+4g2Ar5szMf7+6Do6kJkL/2O1RouLrSBU87S4hME+3kglAiEqr7oaEyYCnV1oaG3tu/+dBgPPKyrwc3JCaWHBoyIBROXt4CDwI8zM0HV0kF8jyNInFxTgq1Zjb6XAXCzpk9CTS2WklpQQ4+9PWWMjTjY2tLa3o7Ky4mFhIa52djgolYjNzDD2bmyFTEaXoZuS+gZUSiWOSiWtHR1YSqU06fXYWVr2ye2BQLV+XlmBCBHejg50dhuQS6XEZ2UR4+9Pamkp/T08uJUpZKixgUKab2NpiUwiwYSJHpNAwvNxdKSupQWZRNI3Ou/qdafSdXRw8fFTZscOoad360rMzPhu2yFeXzGnj5T2Dx6LUi6ntKGeHhOEe3r+e00fbBUuvPndF6yaPhE/3wF8+ON3ACydNp5f9hzHxc8Fc6k5uuZWlk0fz58Xb2Jtr+T16S/wKDerjzWokMnY8MNeRGYiTD0mFrwyDX1nJw8SnxE3OpIvXtvAS+8tpCBNqPdvnDjNnaTz3Hr+nJFBQWzZc4LqompSku6x/+xu+nt48fGGbaxZLViC95jg1tNnLBwzkhdnvM7W/RvRtrXhbm9Pk15Hs76Nkto64g/F913fC6un4WFvj5ONDcMHjUSna+biw3ucOHiZ9Z+tYsexC/zt4w/ZdEBIv6fGRHL00i3Gj4ru05Z88uQqVdVFGHt62PjbQVz9XPtQah+++jId3d1UazS42tkhFYsx9PTw1aad/PD1G7R1daFp0/P+KuE33X3wG1Yu/oL1Wz/g1KmbqD0cCe3nx6HfTvL9D+/0jnoFHUWAuvI69m76lVXrPkRhbUna7WfomnXEzY/DYDAwJDCAq3cfMX6E8Lz5OzmRmJdHQUkF8X+/xYRlE5g3chifffM7/Yb2w8pOSZSfbx/ZJyU7n+iwYB6kPSfnUQ5ffbqSpyUlDAsI4HD8XbZ/9j3+/hH8uutzAM7deUD63XSip0SzYfU7JKXeJyk/H5m5hN8++Y35Hy8h7VYas5cI2JK09DysVdZYKS1pbtTS2dbJtf2X8R8YxPjZo/hr2xl2/fEFADt6+y5VBZV8+9kaWtrb+fPsNcqyywgfHU5rUyvXD15hwdrFeDk69JG6Vs97lx/2fUtKei4xEf3Y9t1BJi6fyAAPD1KLS5gSMRClXE58lhAUahuaOPa3I7zzw5ts/3wXE5ZMIDjEl0BnZ8zFYg6fu0na7TTGLhI4QC5qFb+t/Z2JS6ZQklWC0l5J8pX7zHrzZcqyy3jvtXn08wvl478JOMK0W6nYONgQMS6CXV//yru/fM6iEcP/faYPmzZ8ty5uwkts//ZzDEpnImKHceuvm+Sn5pGWU8zhP7awcPVS3p61EAdbT+x9nWhpa0ff0oarczAVdY0YFBKqNBq8HRxw9HHCZGmOsdvIgFBBMyAw2Bu5uTmN2nYuHzxN2sME8tLTWfLRW7RLTHy5/ENazWT8+tXHrPjiXaRiK3xCvFA7h7D5yzepKDJy41Ii545fJSS6H2fO3CLjyUNeXbWQZ2VlXL+axMEtxzFKxSScSuBBwkUeJFwgMz2JPb/+wk8/HqRHJaf0WSUzFi8hO72AfrH9SHj4jJ8//ZTFr3/AL599yq2z55k4bzZ2Drboek1Tkm6lMOe1V3iSU4C7q5oNH33D6QO7Sbh+iaT4a3TJ1ag9HHmcnU9WcSners5ceprC9InD2bbrBHfuP2X2pFFUdOrwCPag3dxETVkdbWZGvnlrFUHB0Wz5+lsWfbKCyxfuk/g4g8SUTHz9PZCZm/P23PlEDZnEklemkxD/hIzENAaOjkAiEXN512XmvTyRGzeSKaupJ6+wnMFhAZy7lsDeTb8y9qUp5DzIJjw6hMLyGlqbdcweN5y8mhqqNRqa9XoqC6spq6rl2Z1ntLe2I3JVkpdRxKDQAPQ9Bnp6LAiKCsIoF1Oj1ZKXlo+Lrwt/bTnA7FeXkV9RRcKZRAYODeOVpS9y+cwdKvIqeHw3jcd300i8epPBcUPQNrYwNTaK65cSqSqpQOXsiJ2HA09vPCFuSiwikYg7CU/p0HdgNBjxDfJEbGbGmnnLmbH8ZQrSCrh76gauXh6YW0hpMxoI9RJ+I43RxM3T94ibGsvRXefw7u/N2T9OUVRSwytzJlPXosVkMvVleM8eZWPs7sErzBu5Uk5hWiH2PmpuXknkcWo2zXXNlOQUoHJyQNfcilEswlwq5cSOvRw59Ctp+cWo3Z2JGxnJwa2HCBkejtojCGdfZyytLTETm+Hd34fqwirkFjbcPX2D4uL0f5/pg8JGwbgl46gpr6CmqJpNG95EbC6kZt9/+BajRr2Mp0pFSMhQWppaObbrHO9+vJSkrBw++XQ5O/ee7kOvadr0RHh54WRjQ4LUnOyqKlLjU5n2xSoeFRYyde4YrFXWZNwXyoEVsyeTkJeLnZ0LqfGpTJqyHLHYjKnzx/EwOYM1q+dQmFbIqVNCBPb3H8ygkLWc2XaKD7Z+TX1LK5pGLXIrOZZWCsyl5jTWV/Pq2k8pShfS3Y7ubjyCPWhtamXjzq8xNzOjSqOhRd/GjcNXmDxjCS8tmkxWcjoAXr3aDg+z88jLK2XFl0twsbVlzctvER0Zysqv3uXw3/YglQrZ0Z4fv8XJ24nwsAB2fneIF4YP4cquK8w7sIEdP3xNQEAkaYunMHfqaAB++HYv0VOHUFVYxeTJrxIyNIR7l+wYEhhAQUoB5/YfQqfTED1yPwCxsbNY+flizMUS4iYNpbVZR+jgIGprGwmKDsZWoSB2QhRfLBP0GpbNnoR/mA9qtTfDRkTwVGFBYk4eY8YPIaughH1/XWLhrAmU9zYyKyxl2Dvb0S+2H/4h3lSW1xI3crBAJW7W8Oqq2TTqdNhYCtdbHeKJwlqBnZ0zry99kV1HzjPt1SkM8PTEYDTiHuiOSCSiuVZoGkZ6jmBcxAAyystpaW9HbmXB51s+4mlKNjZWCiLGDKKupYUQV1cU1sLJ7x/h36f01K/fUKL6BxE9IJihE6MJcXUlpaQEr94yBgRma+wLsbR2dDBh4TgspVKcvJ3Je5yH2ExEiKsbFU1NfeYuRqORmOkxDAsMxMXWltM1zYwJC8XQZaAgtQCZXMaG3z/Do1dYRmJmxhNXNZV5gqze1PGxtHd14a5S4R8WwsUTt1j0yvQ+bkhkcIBAZ7ezYtTEGJIT0oiPP/RP7cd/iUbjf9Z/1n/Wv876lwgKMrkMN5U9Wm09UrkQ6Vz9XHH1c8XLKxS9vgWRSERpaRahw0Jpa22nSa9nSEggXQYDWUmZ/4Vxp+nTDuzv60VnVzeTFoxFo9djJZPRbTRiaW2JocuAoctAt1GA95aUZFBQkIKFwgKpvFcCy2CkxwR6fSv+/oPx9x9MQcFTcquqefLkKrpmHVKJBKWdkvyUfJISzlNdVM2gUUP6kGqdbZ3UarU4+zqjcrKjVqtFJBIhl0rxcFBhMvWgb2mj22hEo6lDo6mjtNdpykJhwZiYCFra21HIZPT0GNHo9TTXNtPcXEtPj5GeHiOxsTPJf5pPrVZLc30DDkprJFIJIpEIT88QSkoyCHN3p6Wjg5aODkE81t6GwpQC6uvLqS6qJjs7mW6jgXvnbhASOoSwsBH4ODri4+hITU1RXwdd09aGX7gvGm0rwb6etDYJdm/ONjZYWdlhZWWH0WTCw96elhZBIam7s5spEQMpbWgg1N8bhbWC0oYGbHrt54L6+ZD7OI/Otk6crK3RNesorq/H2dYWc3NBTr+ju5vUohJSi0oI9HanubaZlpYGwWKu20h6Yiad3d1YSqVoGwT8hl6rR6/V01TThKHHiMrKCpFIREtjC8/zSmhtaqWmqp7y3HKcbWyo1WppbWqhtakFMzMz+rm5YWFuTm1tKfrOTu49SOPBtUeUNjTgoFRiI5cjEYuRiMX4hnpzff91TCYT8cfvoJDJSDqTyI3TpzAXS6jWaHC3t6dWq6VWq6W6sBp/LzfB7bylhebqJjIrKrh/6j4KGwWGLgPp+cUk5eeTlJ/Pg4ICKqvrqa0sx9BjpLCujia9HplEgrahheL0IkGIRqejQaejWaejpb2dttZ2wZT4YuI/vR//JRqNYeHhpsMXLnD82DV8BviQ9ziPab2iJiKRCJPJxABPT07cSeDFEUOJz8piWsRA5FIZG7cfwjvUi8hAgThiKZWitramy2ik22DAuvfGOTt5U1iWS1tXF2mlpX3lxto3/sa6Le9R2ys5rmvvYPrgQWjb2niQn4+mqQVMJgaFCN3i3KpqFo0Ywe4r17l15BZ/7l1PaUMDpy7ewdzCnMM/7eDMjaN889UfjFss8DEivLyo1mgwE4l4mJzB2NFRaNraiPDy4tT9B3R3djNsUBgH9wkArFkLJtLPzY1GnQ4vBwdemP46X279iKKaWiYPDCcxX1D7UfTq98llMupbWijOK8fSxpKpMZGklZYywNOTwtpatO3Cg7HqRQGAFTtmMh9/voLHRUXoNDo2rH6H9fu2s3D0CFa8up7YmbE4uzkyLkyYrV/PyKCzq5sBXh588eaPbNr2EcGurrS0t9NtNLBtz0nmzJ1Ae6/+ocJChsRMTI/JhIutLafuP2D5xLGUNtTjbq/ij1OX8PRzI8ZfuGcGoxGZRIK1XM6joiI8VSrEZmboOzsxGI00tLYS7uVFVq+PhlIuF5qhYjFHzt1k9tTRJD3PYURYCBduJ7Nm1hQaWlspaWgAwFOlwl6hoMto7JtC3MjMZHRICBIzM6q1WlxtbSmsqyXg/2LvvYOivt++39cubWGBpffeUQSkKCIodrElsWtiLIklxhSTaKJGY4qmmGIssURN1Nh7L1hQg4p0kN57WzoLC7vLnj++hPPMOWfu5zdzn/uZ3z1zf2YYmsuu3/LZ63pf72IrOHLp6ujQ1NmBudSY1NJSatsEB7BH8clY2luyNHbcQJ4lQICTE+duP2JcdBh3Hybyzrxp7D93AycvRxqr5bw+WXCx+qfd6FGrkXe0U9XcwnBPT1QaNcklpXSrVFgZGzPI0ZG9p64i6ncgGxMdSoCTE08LC9n9+SG+3vURliYmXIp/ypSR4VQ0NaGro0PaS+HacHKxY0ZICCqNhvvZ2bQqFCyIjPzvk/ugIxZjbyajpqgGqZmUbzasoKi+HoBPln+Fg7szW79ezdV9l9HR0+Xcz6cJ+eMrXK2s+Hj5XF6dtpLpl38D4E5mJlG+vhjp66PRajl2L57hAX7cT03gVkYGYR4CAebI4UsAHDz6JQCrF3xIa2sDK7asI8GkAG87O5LjUvhi3Vt8+dMRLu25AEBy8m1+v3WXtydP4G5WJonFxYJOPyGbtKR4Rk2cxs2EJEbNjh4wMgXwd3BA0dPD1AmRWJuaIDMyora1lduHbjM4ajAW0cOpKxHELx1KJSKRiAq5HF2xmM9+XkugsxOfLF6PZvuHSI0MOf3jWZx8BC2AvoEexenFvPf12+xYt4vFE8awe8NvHD2zgx8++ZXk5NuUVRZw5rbgpHTwt3OoNRou/HQeKydr3l7/GT+8t5Goh5fITn+OrZstBckF+PRb1t368w4///gxeTU1LNn8Jt29vZxLTGR8QACnbsazYc0iVBoNb8xbD8BfZ36gR6Xiow928MV3a+juEGzTE4uKMQkwRKlQ0t6pQL9/pKfWaNjx61+ETwxlwpAh7D12kchRIUR6e/O0sBB7MzOqm5up6scgxg0ezMVHT3l+I5HdO9dzPuE5bfJ2NH1a5kwcxe9X79DV3jXAP7B1s2XRrElI9PSwNjVh++7jhMYEc+DMdXT1dWmTt7Fu5Xx0xTr8+pdwXYyODiHc05Pu3h5+3vw7Kz9/k8zcYrRaLWEBPpQ0NOBubY1rf+p0VXMTCRf/JjTEn6LUIlqmdVGZW8GezV/yMu8FhXX1+NrbcztTwI2u/3mb77a/z+PqHHR1dDjz53VCJoRw+9BtJr89mafJL/EP8kK/f+xcJpdT39bG2b2XWfvtSgrq6nDu7WXZlPF8+uVent97wNW7x+nyFjZmE4mE25mZtCoUzAgJYe36AXeD/+36t6gUrKwdtOMnvElp8UvW7/mC71Z/gYeXoFZbuuF1zu69xGurpnPyx3OMWRBDWICvYMelUrHu9TV8umcb+hKh7ZgcFER2VRW5JYJhxcqFM6huaWHXd0d5d/0iLpyNo6mmCUMTAbR6dOMGXx3+nozEbKZPHc2KOas5dP43/jh0mahpI9i/aR+NjZV8vOsLADpbOnl8/jFL1i1g4pAh1La28ryoiNbWDurL6ynPKcc7xJtNby/G01OgqJ6+dYIz5+7iE+bDpjdWMn3eUvwj/BkZGkCZXM5PH37HkPAwUp8KJd7lO8d5mJODg5kZQa6uuDt6sPyjLcxeOAl/R0feXvoFUlMjWhuFMvmDbctxMDfnXmIa7u7CO3BSSQkSPb2B2XuYuzsR4UKs+bo9X/Ps6jMipkdwaPMedHT0iJwSw5jYEeTmlmAgleDkYDNwfv749gQlRZl89ttXnN95ER1dMVNXTqNX2Ut1UTURUcFcOxXHpvVCJWJhbMzOk5fobu/G0NSQhrJ6Nny0hKNX4zA0lrBk8jiSS0spaxA8HevL6wkLHURGVgEPTj5k+55PuP88jQUTR5NRUcHx3ecJGTeUMRHC8Tz6x1WcfJ3Q9mm5ceQKa3d8wN3z8UyaM4a2ri6UXUpqSwQDVYCmmiZ8Qr1RKpQM8fOku6eHnRv2M+XtqYQP8eXk0eusW/sm1iYmPC0sBCDjZSGTRobhYG7G598cwMnXCamplIenHtLVqeDVNa/R2dLJ6BHBAMQ/TUOj0TAkyIeU5y8xNhNo26PmjkZmaDgASrb3K1vVGg0HfjnF1MWTqK+TY20rAIoqtRpLY2MKiis5/v1BIicJI8lxr0aTn1NKcXoxQ0YF0NPVQ3tzBxZ2Fsir5KxfMZ91W3bj7CdI9GtLahn/2ihqG5o49cNRhk+KZtu65f99eAr+Q4ZoD5w7h4eNDVIDA5o6OwdIJGqNBmdLSzZ/vZ+tm1aQVFJC/M1nhI8L4dGlJ6x5fyEnz91h9mvCwVs0YxlLPnuXmuJa8hLzUChaeWXVbFa9GouVpQNb9x1gUIAnI72FdqCyuRknC3MkevoDbUVDeztPMrJ5dOYRm799F3OpEY3tgh+ivq4urlZWJBYX421nh4O5BTfSUrGQSrEyNUXR00OvSoWDufmAf9/sqcu4cPOPgf9vhVzO85RsbJyt8bazG8gG/MfO205mSkzUTFZ/u46Lv57j230bqGpuwdnCgmu3/2b65Ci8bG3p7jcZLZfLuXA+jnlzJ5FXW8u2lZsYM2M66l41b70zm5bOTk7su8T2be8BAu367NEbqHvVbP/yXaqbm7ExNSWxuBhXKyu0Wi0GenqMGirQokvLcymsr+OLD3Zy6sz3VDQ1YWlsjKKnBxtTUyFgpbeHHpXglVDS0IC1qSl+Dg7UtbYiMzLkyNW7rHxtCg9ycpgQIGyG/1i2Vzc3k1VVSbSvHzUtLf2PMSLY1ZUjd+7z5viYARPSf87BP8/9z6ppaSGrspLBTk70afuwNZUN/E5XR4cdh8+w7q15HLx8i7kTR2FsIEGir098Tg42MlM8rG0w0NMbaDnEIniaX8j00BCkBgZUNMlxtbJGpVYjFotJLi1lsKMjcf1y9wAnJ9ysrLiZkSEwMnt7cbe2pqalBXVfHzu2HCRsUhh6BgJha+74aHKqqzGWSHC0sMBUIqG2rY3i+nrMjIwIcnFBt99pGsDDxmYgp0LZL4HXIty7Ej19/s7Px9XKauAYOVtaUlBbS59Wi7qv75/8z/8+m4Knv792/Q87sbQ1p0vRjYmJlC6lUAbJq+SEhw7i4YMX2HvYM9zfh7zaWsz7QapejQYTiQG37wtsuvbmDha/Po0XxcWolL3oSfQZ5ulJp1IpgHRdXUwMCKCkUSD+NHcqOLD9GO9vWYaZVMrz3HwmhQ7leVER3b29eNrYUC6X09okvCubmJsQ6u5OQ3s7jR0dGOjqMnVoCGqNmoSCAoJdXXleVERlbQPm5sJFayuT8SI5m92fb+XGk5soenoIdnWlvq2NE1fuYW5nTuQQ/wFps8zIiE6lkteGR1LZUEtKWRl6OjokJ76kJKOEX374iAc5OQNR9E3yVhoqGnDydUJeJWdY2GDSsgqYHBVO3PNUAvw88Lazo6pJYCj6Ojhw+sFj3Fwc6O7tJdDZmYK6OgKcnDAxNOT0wyf0dPUQFCBsnA3t7bQ2C3ZprQ2tVORU8NsvnxIxfBpzVi+hprgGa2drXpkyCoD9u8/gO8yXoABvKhrlNFQ0MC82BjMjI5JKSgj38CClrIw9W48AUFyYwa5TuymqqUVfX4+8pHx8w31Jf5hO/os8zp7/iQtJSRj2j9v+/PoYn//8Aaq+PhzMzPhl51+MmBaBzMgIezMz5B0d+Nrbc+1JIgB2jtbE+Pvz2cZdvLI0lhHe3ujq6KBSq8mrreXh/UTyEvMJjw3nrVcmAvAwJxcPGxu2bdjL+1uW4W5jjZ6OLt29vVgaG/MoL48bp+6xdZMQBFRcX89gJyeWLtnCtp0f8TQvn3AvT4wlErZ9fZCvvlyNro7OwDl2tbLi0t/PeWXkMHKraxji7ExXby/Vzc04W1ryw49/8sXGFQOYhYWxMbnV1XT2KBnh5Y3UQFBnvvvR93z82VIa2tvxsLGhuT//xN7MDFNDQxIKCigoq2LYYN//XozGwOBg7YMnT/jym4N8+PEiZIaG1PQfjGfpORSlFRERO4y0RxlIjCSIdEQ0VTexcZ1wMOZNXsjTpDuAEJqh1Wo5//gpIX5eFNTVYaivj6avj5amNsQ6YhorG9H2c0SnT45CX1eXP45eJe78Zd774VPUag0yMxMaauS8MiqCQyeuYdivnyhMLcQj0IPshGzGvTEOf1cnwj090dXRZcqUFWg0GsbNn4DMxgxlp8DYmzU+mtrWVvwdHLiVmYm3nR3pJaVED/LjXnIGWk0fAb4e7P9OmCOLxWK2//ABdmZmxOfkUFHXyPihgSQWF/NqaCi//HWRztZOjGXCTN3Z1xlnS0vC3N357dx1po+L5Oq9BN6dO53DN+K4duAyh058x8t+oO76iTjGz43hwOaDhIwNp6GiAZWylzUbFvN67AI2HdyBsZEhpv0pXSlJOSyZOYnGjg7uPHrBgqljyaqsZOygQTR1dnDl70QWTxzL5u8EXoyNmy3zpozhVmIK88dEc/ZRAn7uzjQrOpkYMIRTjxPo7uzmjUkC+GYikQiZod3dmPXTes2lUk4/fUZscBBZlZV429nx0buCicuJv7ZTVF9PWlkZo/z8aO3qwlBfj66eXtyshR5/78mrDA0X/Bp0xWLCPDzQ19FB0dNDfl0dT59nYO9uz9iAwTwrLMTbzpazZ+8yb67QYrlZW9Gh7CG7qoqn8am4BriSGpeK11AvDIwMWDZpHD0q1cA7c1NnJ2/Ofp+Tl/Zy/VkS82KiOHE3nluHb/LjgY24WVsLtGOJUA0+LSwiwsuLZ4WF9Gm1QuxhTy/OVpY4W1ggMzLiwpNnTAoXWqZf95xi5NQIqkprGDZUcNpSqTUM9/biwo14gsP8sTMzGwg1lujrYyuTEebujlKlYtPW39j9/cf/0qbwbzGSVGs05NfWkvz4CafO36VTqUTe3o68vZ340/E0VDSg1Wo5sXcXgRGDaKxsxD/Cj4b+C0kqNaVCLqdCLqequQl9XR3MLYXy8R97MhtTUzychdxAqakR8mo58mo5WrRYm5qScPM+SqWC1PtpONvboOjsorOlk2ZFJ0l3XpB8J5nkO8ncunQcPYkeaUnx1JfXY2VqSkJBAVOmrODGjf2Ympnj5ONEQVIBaQ/SSXuQPmBBVlhfT3NjixDlZaBPh7KHsz//Rd6LfLp7eynKzaIoN4vYtyZjqC+nWntKAAAgAElEQVSUhMGurnS2dKDo6eHUD2eoam6msaKB+It3SLmbSsrdVF4mZHPlTBx/3r7PtUMXcLOyok3ehq6ODvGn4yksTMHB/P/OVrTzsKOltR2Vqpe0h8no6uty88qfSA0M6OnpIjUulbun7g+Id87vO0pFUxOdSiUBgd48yctDoqdHckkJP+05ybwx0RTW1VFXVk9dWT3hYYOFTM3j90kvL8fCUsZIHx8MdIXy3FAqwdfLhYLaWgpqa0koKOBM3GOOnbyBvKOD3JoaziUm8lp4GIV1dfRptbysqsLc1gxzWzMyKioobWzk7rE4unp72f3jcXbtOoWHjQ36unqciHuEqaUpGal5ZKTm8cdPp9H09fGipIRejYaU9Fxa61tRq9XUtLTw4NwjDPUN8BvuT2JuAYm5BdzKyESip4emr4+Mh+k4WlnSVN1E2v00dPV0yaqspEwup6CujoI6IQO1pqaQkoYGHp97THp5OQ9PPaS2thgnCwsa+7UM3b0quntV5OaUUFxfj1KloqGphcKsEowkBlw4dpOrD59x4tYD6svrOXsrnrO34jGxEIKG817kC2FHenpYmBjjbGFBZ2snf98TKOnWpqZYm5oO5EteSUmhsqmJG+f+NeIS/JtMH0QiEU4WFrh7DcI7xIvrjxMHSle/CD/cA90xlkh4/d33hcTikjreWDYDezMznmblYmPjNsD8+kckZCuT0aNWD0S57dx4kEUbFxLk7U56QQmvzBfUfIcPXGTjuqUs2rCcFzdfMHjkYEZ6e1NqZsZ3x+4RMSKQiGkj0NMXekEHLwdO/LSfUROnUZ5TjmKC0ApoNBrmzl/PuTM/svLzN2mTtzEsVjCyTq+owMncHGOJhD6NFldLS+rb2vB3cMDRzR3/CD987e2xtHQEhNKvXC4n1N2NDmUPd4/dZfaEUXiHeuNgbo5fhL9Aj+2vXprrmtHT18Pf2w1rW0eaOjtobWilpqUFr6FeGJsbI+/oYN9mQVtRXV3Atj92YGJiTuRrkWx7fw1vr92Mr709RkamdDR3YONiQ0V/f71o/SohmLahibLsMubPnoinrS1arRb3NQu5nppGtJ8vgTGCzFfSn/z0zubFRHp7k1BQQItCwTBPTwx0dYlLSCYgwmkgkKdHrSbY1YVetYbSxkaCXV0Z7ulJU2cn4Z6e5NXU4OfgQMkYIQVbiKpzweZTUwrr6njjnZlI9PRQ9PRQXF/P0tjxlDU2DmAuE8cMR6vVEuHlhUqt5vXYsTzKy2PsoEFIDQz4ZN1i7GQyWuzt8Hd0AEBqIKFDqWSYpyeKzxZgb2bGrDWvIm9swcjYkMFOTgOp3yBUNq+8sZhwDw8q3o4l0tubkuWxNFSEUVhfj7+DA319fQMp0nMnjRauJ3MzzKXGyId20KNS4b5yFjpiEb72Dhx/8AhvF8eB5xjm4cFjXzd27j7JurVvoisWk1VZyezZE0gtKMbcyGgAb5AaGODv6EiwqyuppaW8+9VmPn5j1r92P/5n2geRSFQGdAAaQK3VasNEIpEFcAZwQzBunfu/C4OxtLLXfrTtR4rTixk8cjDRI4L5efPvAEikEgqyM7gR9xe/HDjNzq3ruZ3yHLVGQ+bLQizsLenp7sHRVigbR/p409jegbyjg/vxSQwa6s0n81eRlP6Ii08TEYtF3D/xgJJ8wcRk/6lfuHLzMSUZJUS+GsnVvVcYv2gCBob6RAYOIrWklBv7b9DUKIwLQ0YPZ/WqudxMSEKpUBIdEURLVxcZKbk4+ThhY2rKuIAAvtpzjPwkIZfw8O9fsGTJFsYtGodSoUSsI8bC1pyOlg48XB35dcN+Ji2ZzIubLwB4/YPZ6OnoIDUw4MThq4yYHkFXZzfaPi3DB/tw+0Eiz68+o7lZAKGsbBw4cPgLOpVK2rq7MDOScvHe34yLDOHwwYu4+LsQGOiNS//4LKmkhKZqOb5+7uz/4g/e/WoZdy49YtJro+nVaEiIS0IkYgDJLkwpwt7TnpWzpvDj72coTClk6Pih2Lra0tWuIDo4gPjkzIHo+s0fLOHzbw9QX97Aso/ns/fLP5BZywgcHUhpVikzF06ioqkJKxMTAAoKygnw96Clq4v0hCzs3e0ZETyIxKxcAnw8SM8uZFigHz791meHLt7C2ExK2r00xsyLwdfBAV2xmLLGRnzs7XmYksFf3x/GxUOIog+bFIaTpwMGurr4OThw5vI9bFxsyHqURcT0CJpq5Ni52DI+IIA/rwjGL/budnS2KZgZFcHyxV8wKHIQbyycQn5tLbXVjbTJ2/AJ9CTYRVDCbvzoF5Z+uhB7Mxk9KjWNHR109/ZSXVbLm1PH06fV8rSgAEcLwULvwd8p1JXV8cocgcty7cIDJkyPwtTQkEdP05AYSZBZy5g7QgikLW1spKKpiX1bjnD+wk/8Ff+Y5roWxowMYeM72/lkx/tkZBSgoytsOj3dvVjYWyASieho7iBoiDcxgwb9H2sfxmi12uD/5ck+A+5rtVpv4H7/9//x0kJBUgHxdy6gb6DHlne/RdHRjqKjnbDJYbi4+fIkP5/HV++x/cifA7uhlaMVh7fso7e7l4rqeiqq6+lVa2hXKskuq0CpEECZQ1ePs/Xb3wlwd6EsuxyRSETQiOEEjRjO2mWbcfJ1QmYtw83Blvz8F0yIDKXsZTmpJaXcP36fpMTbjJsXy7h5sUiMDflqyz6MTAzZ9LaQxlxZ24DMxoyUuFROH7jCV3uOsWXNmzx7coNnT25Q2dyMnYcdXe1dHNm2i7qSWmpL6xgR6E9efhlVlXnUltSSEH+NhPhrBLu6UNfWRmVzMxs+XcaHry2kvqweiVSCg5k5z68+o6ene+DwTVg8gcK6Ok5fe0BSXhFSAwNMLU3RoiVwdCA2LjaM9PFh2Zz3WDbnPTpbOsh5nktZZS2lpVlse/87mutaMJZIyEzJQyQWYeNqi62dFbZ2ViQ/fMqF3/7i7suXFKUV0dbUyqAhXrTUNVOQXEhbVxeZ8RnMnTuRuXMnIhaJsHS0wtLRkvTMAjyCPNiydRWmFia4DXZlhLc3gxwdKauooayiBnm1HHVfHzkp+WQ9ymJ4oB/3HicxJyYKtUZDVX4VyS8LBlrEwuQC9CX62HnYc/f4PV5k5/PrD8cG5NyIREx/aw4+YT74hPlQmFpIX18f+dkl9KrVhI4YQvzpeEImhBDo6kxJZilhHu6YGhoSGuJPaIg/DZWNDPX1pFejwcLeAo8gDx6lZHLyx7Mk3U7CzFpGTko+zQoFzQoF494YR9LTTJo6Orl582+KCiu4fuQWEmNDsqurqW5uxs3aGlNDCaaGEqIjguiQt6PWaCisrCZ07FB0xGJellZg42JDn0bDyW+Ps/m7g2z+7iB1ra0Ul1RhYW/BlZQURDpijEwMySqvIGLKSIJcXFC0KzA2N8HY3IQ+TR9+bs6oVWrijt/m0ok7//IN/V+BKbwCHO3/+ihC6Ox/uNRqNXWVVWg0avo0WvxCBWqzQtGOvFrO86fXUWk01NQUkZ2QjZ2ZGdn5pZS+LMPc3AZVrwpLKzMsrczQ1dEhp6qK1oY2FK0KGtrbyS+tZNq8cfRptVTkVpCXlUrclbPEXTnLyOkx2FmY8+zuA3JyS6itLebOkyTKsssG/BCqqwspySyhJLOEspdljF80HnlNE56eQxGJRJibm6Ls7KaptomQ8SHkJ+Xj4RFMSUk6JSXpWJkIJ8nNSxDqVOVXUV1YTdzjZIzNpDQ0VlD2sgyxWAexWIfSBgEINTcyoqalhcjI15BXyxGJRPSo1eTlvSAt7R6pqXdJTb1LW0Mr1qYmOHo7YmUpo7u3F0dbK5o7FTTVNlFVUIWujg6xi14jdtFrDPXzoq2hFQOJPsXFaYydM4n8zAyeJb3E0FiCpb0laLWoNBpUGg25uc/Q1dXH2cIC7xBv2toaeHg9gb4+LYWpAtFLT6JPfGIG8YkZ9KhU9HT18PDKVUoyS+hsEUbMOc9zKcsuF6YZCgWGJkYYmgjAYlpKLi+fvEStVlEml9PV1oWOWCyoKAurKUwtpK6tjbq2NoxkUorTi4k7c20guEbVKzxOVywm/UE6f198QmFqIYWphSQ+fEB1SS3aPi1ikYibJ+9RXpzHkwtPSMwuIDcpC12xDh1KJdfO3ufa2fu8/PslMiMj+vr6eBx3hbbGNoozS2htltPa0EplfhXWTlbYm5lhb2ZG+oN06krqaFYoaG1spSi1kIbKWkoySrA2MUGpUgkOzjW15NXUcv36YyoLy6ltbSUjPpObh29R0SinurCK4vRicvvH6abWMkytZRSUVZF6L5XUZ4+J8RcIUllPXmJvYc79czcpbWykurAajVqDRq2htqSWB3GJ5DzNoa+vj6L0/H/5Bv7Pbgpa4K5IJEoRiUQr+n9m+0/OQ/9nm/+vB4pEohUikShZJBIl9/Yq/5Mv43/W/6z/Wf9/rf8spuCg1WprRCKRDRAHvAdc1Wq1Zv/Lv2nRarXm/9Hf8R8yRLv9jz+I8fenWaHgYWomY0ICB37vbm3NB5/9zI/fvI+6T8P7a3fw+rszSXyaiU+wF63N7cyMEnqvz7f+RlVBJQEjh9Bc28TwaRGMCx6CSCRizbIvmbpiKiH+3vg7CIDS0dsPeGvqBJQqFc39jkKF9fWkFZZw8vujvLP9XSYHBg6kEde3CXyFtPJyAp2dWTHvfXb8+T1uVlb0qtWkV1QQGxhIZXPzQM9sLjWmubODhvZ2OpVK6tvaaFV00VLfgq2TNTPDw3mSl8cgRwFUUvf1MW3cPL489B09arWgw1d0o9VqSb2XxrJVswhycRkgeLV1dfH2m1s4ePRL/rp+n9KsUtQqNc/ux/HXtT/o6O5GV0eH6hYB2hGLRLyIT0NHV4fNa97kamoqYwcN4pdDZ5kYO1JoPyQSVrz+KQB37x7hUnIym958n+S0hzQrFDzJzyfG33/AHahMLsdOJvAyalvb6FWrcTA353FeHhMCAiiXy+nVaChrbMTTxgaRSDRgj97Q3s6Jq/eYHTuaiqYmUlJzGTUiGH8HB9q6u2ns6KC+rY1Rvr4AtHd3o9FqUWs0tHV14WVrS4dSyYkbD5BZy7C0MGViwBCK+zkB9mZmbN12kK83r6JHpSIu6yUxg/xpUSi4cPkBm1a/QY9KhZ6uLn/cuidcc26OeNvaIjMyQmpgMMBrUPdpaFF0kVpWxuTAQBT9eo/6tjY8bGxQqlRUNjWRUV7BxMAh1PSPotdv3cOCJdPY/+MJAKJmRmFuboqHjQ09KhUdSiXWpqakl5Qy2MV5AMjV1xWo4CpNH21dXViZGHM6PoHwQT6o1GqGODvTo1azZdsBXl04kUgfAUdpUXRy4voDnL0c0Wq1zBk+HJFI9H88in4r0AksB2K0Wm1tf4RcvFar9f2PHmtkZKLddfES+S/yyX6eybKtb/H+q0Ia0KY9v1KeXc63m1bxw+EztDa28tW6t2nv7uZWWjrWZjJG+/kRO/FNAA6f3YWBri5mUimZFRWEe3iwbc9xosaHM8TZGR2RiJVLtuIe6A7A5NljeH/OcuYsf5uPVi1g1vSVnLi4h76+PqxNTckoL+fYwcsDoJudhx1OVoLl+sWL91m9bBanbz4kOiIIAK1Wy0+bf8fOw44+jXDTbt20AgtjE+bOX8fUVVMZ6e/Hmcv3GB0ThkgkYuPyLRw6s5MjfwqCqNnzJmJqaMjDlAzcXBwoq6hh8vBQ4rNzqC+rp6dLSX1Zw4AaMGhMEKMjh/LXkau8//4CKuRNuFhZ0qvWkFpWRoSXJx3KHsrlAq3YXmaGob4+Pvb2fLJ5F9MWTqCsooYxoUEY6etz8f7fGBgZEBkozPmP/XkVfUMDtq5dygef/UxTdROL1s0jO72QxOvPGbdoPKd/Psruv3YAoK+jQ1RgOAve+ojIVyNJvJGIjYsN0aND+Xbtz1y6sof8ujq2fvALAAFRgvLV3M6cG0fPExwRQUNlI9GzoomOCBpQvf4joHr99Q2s/WYFJ3+/wpSF4ynILaM8pxwnXyfenTudxYs3EzVzJFcPCjqGoTHh1BbXoi/R59tv3+fgyatEjQ6lpLqO5rpmAoN9ObPvMpu/XMWJi3f/uZ6pzK1g0epZXD59lxUrZmNtYsLJuEc4Otvw/XvbEInEfLxTgMza2zuJDvCnsqmZstp6TEyklOZXMDlmONlVVZTmlKPqVWHvIWyE6h4VtaV1rHzzVfR1dDh07iazpsZw+e4TUu6k4OTjhP8I/wFfkQVRI2lRdPLFF/v48bsPya2uQV9Pj4uX7iM1lRI2bDC2Mhnift5EmVyOga4ue784wqDIQcROH0Wkt/d/rSBKJBJJAbFWq+3o/3oi8BVwFViMkDy9GPh/JU7/P5eVvS3uzvaIRCKUCsFtaNXGLQAou5TEzorhUnIy9h72RI0KIaWsDJmhIVNChtLQ3o66rw9nd2GE+aKomLEBgyltbERmZIi8o4Mp06Jp6+5GoqdHi6KTr3d9NJCW1NLVhVqtImrCMPR1dJixfDYmEgPkHZ28KC7GxdKSiOkRA7HvhhIDxCIRip4efMKEXXn351tZkZNIYX09xhIJ4xaNo6u9ayC8pKG9nbnz13HuzI/8sHsdpoaGfLh4FhJ9fXaevMTEhdOxlcnwGybsnVXNzQx1dWXXp9tISbtPc2cnOmIxhckF1JbUseOHtdzJzKSvf0NvqmniwaNkjEyMuJeUzvSRw7n+LImpEWGCa0+fFk8b64ERo76eHiqNhvq2NkZMj8BYIsHNxQFLY2MA2praMVDoDyDlYRNC6VWpuZmRjoGRAXYedkT7+fHb5wcYMW0kZdllhIwagb1M4IYcvXyXuUs+YPobEzHU16fEyYqQiACCXFxYvGUpYrGYVoWCpiZBMJYU18k721ah6etDZvUWWY+zGD13FDlPc9BoNHyw4FXSysrIrBDCXdpamnC1tGTGokmEurlx+8wDBo0YhI29JU2dncz+cCZBLi5U9guiRk8ZgZu1Nd9/cRBFTw+vz5qEg7k5HjY2pFcIsuiq4jLuJqWxZI5g4VYml5NlZ8GxveeZu3wGNqam6IrFjAkPws3KivrP3+HcL6dw6jdNcfLywtLYmMtxCYyLDqO7pwfHCHPMjIwoy61g7rQxgqlv/7jWQiql0NEaiZ4ebV1dzJoag6GeHkOCfAgM9iX5WRbThoVS1F/tdHR3092rYsSrkcg7OvGxt0dqYMDp7l5mzxwnBBrZ+Q5UssM9PdHV0eH1T+ejVKkGzs2/sv4zWZIewKX+b3WBk1qtdptIJLIEzgIuQAUwR6vVNv9Hf8vO0VUbFDAeWydHtu/4kFmxbzJ6mmD/vXrVHD774CfGLhxDzvNcHL0ceWt2LEcu3MIrwIPlk1/j4K2LA6Wou7U1+8/foLa4FlNLU+bPmkCrQsH9+CRiJ0Sy5b0fcfR2orlGeEk1VaWcuryPP8/d4tWpo9m05keiZ0dz59gNtu3bxKwx0/HyCuGbA4Igqr6tjYLMYqZOiGTKyEkkZj6lVaEgu7qa5sYW+jRaVL0qjmzbNcB2O3h+P9kVlYwePAg3a2tCQiaydON7SGVSoocM4rM1O8jPSyI8UpCLL1/3OgUVVYweMhhjiYRJMbOxtnbm3OU9aLVa5s38AK9AX+RVwk3+677PkBoYkFxSiqOFBZbGxvSo1Vx8mMDssSNpbO/A3dqaebMFZ6RdR7awed0uFn44mz0b9+E/LAA7Nzs6WzsJHRWEj50dMiMjsvqzJE//dons1Bes2vYxlXmVgkltaydvrJ5JemYBU0YP50rc3yyYKrx+E0NDriankJ+Uj0alQa1W8/X65Syc/ylTV00jNjyEhzk5A+1SYV0dxhIJRQXlpD/MYO2GJaQUlzAmYDDZ1dWsfnUR81asZsL0KACKy6t5du053iHe7P/mG679fZsrV+MxtTRFrVZjamHCgxMPiZ4TDUB1QTWOPo64uzuiVKmoq27k+w/WMWbiHEbPG839v+5z5NBWOpVKzj8SRGlNNc188OZMlCoVn23chVKhxMbFhsLUAtLT7/PN8f04Wlpg0b+R/vrtn3gN9SIgzI+CrGIU7V00VjYybOow3O1ssTQ2xtnSkssvBJKRulfNk3OPGTRyMCXpxXgEeaDVgvcQDzxsbHj0PI1fPt3MvBWrAbCws+Dl3y8xMDJgxIwR3DsWR2VZESu3f8DdP+9ycN/nhIWMZ+x0AddPfvSEERPH4h3izYXdpwkcGcpPW9/7rx1JarXaEq1WG9T/MVir1W7r/3mTVqsdp9Vqvfs//4cbAoCBoT719aWMnjsaezMzZDIbgscGEzw2GH1dXZx8nWiua2FI9BA6WjowMTSkMr+K2qoGLCzssDE1HYgEb1EoyHqUSVl2GdWFVWRUVJBbVc2QEF8q5HJyc5/hP9wPE0sTTCxNcPHwxlYmw87dju7eXoZPHc6F3/4iMzMeSxNjOjtbGDYhCj2xGD2xGGcLC8bFhGNtasL0eUupkMtR9PTgbWdHgI8H06OGIdYRM+2NeQSFRRIUFkl9Wxsj/f0wNTQkJGQiaWn38PV149ahWziamxMzP4aCgheMnjea0fNGo1KrqSurp12pJKmkhDEzppOQcFHgu+vqMjQmDPdAd7xCvAYCSDV9WjxtbbE3kwnCGYmElLspiEViRCIRebW1hE0MJ2xiOC6WVlSXl2ImlRI2YThT54zFfZArCdcfMsLLC09b4SKuqmukqq6RwSMHY2npiKJNwbRpozA2N6ahop6mzk5sXWywN5Ph6iOkKSWXltKpVDLU3Q2ZtYyyl6WEjw+lWaHAxkXAEq4/SyLMXSCkGUskdCt7cLIwRyQW4zfcD1uZjCB3N8ykUsrLa5HJrMh++hKpgYGAd1iYIjE0QCKV4OIyCAuplFFjw/Af7MG9E3cwMhUMYYb4ezLE3xNzWzPsnWww0tdH3tiCvEqOn18EIh0RlhamdHcIk47u3l5qS+qoLamjTd6Gvq5g8OLg5YCZjRn2nvZMWzWdYRFTsJKZ4mJlhV5/hH3GiwSGhPtRWVbLxLERFKYUMnH+WNxsbVBrNLhbW2Okr4+1mQxrMxnt8naa6poIHOrL8/j7tDe1ExTqR6ibG/o6Omi1MHXOm4ycNIyRk4Zh6WhJZsrf+IT50FQtx2WQKwpFG3bmZhiZGNLY0UFZWRbeod54h3rjGxBEcXoxRjIjDAyk+IR6/8v39r+FcesPP/y0dcvvu6jMrSSztJxlq+Zy+9xDaopqcPR2pLG5DR1dHbo7uwkZESAIjDJySbjyN98e3o6liQm5NTVUNTdTJpfTUCPH2dcZQxMjpo4aTpuyGwtjY+paWvEfGsLuTV8yfFwMUpmU1R8sQN7RQWJCBk5u9ryITyN26QxGxcZibWnOnGWCyaq5sxUdSiXqvj561IJ9d5tWRWV1PTMihxGXkYmit4f69nb0DPVRqzWoVWoMTYwwd7Yi4UkqUSEBYGvFh5s3MCkwiClzF+Ib4MHTv9NY+80mCrNKaG/uoL6+CXmVnFmTRvEk7SUegR6s+mANxgYGXE1O4dA3P+Ls7o26V4VGrUFrboiPnR13MrNwt7Zm8byPmbtgCoUNDVjamqOjI+Z5Rh5jokPx9XWjrLERiaU5Qwd5kfWyCCd3B6qrGtDTk2DhYk1OdTWVzc3kZxTR2dJBY6WcmHljkcqkSPT1MHewRFeiz5SocDJyi9E3NKChrR0jA33EIhEZRaUUlVVRU1BNxPQIrM1k9KhU9En1qCmuYfq4SJ4XFOLn6Ii+ri4uVpacPHeHro4uRCIRNYp2ioorcXO0Y8QgX4x83AgcHURzZyfNnZ0EujozbEQgCQ9TWPXZW6g0GhKeppPyOIOfd67n4cMkwiaHUZBbSnVNA9WF1Ty7kcjEqVEMdnXmyeNUnL1dGRw5mJLsctauW4ypoSE51dWkJWbT09WDtZM11T2d2MlkZGQV8vF7C3mamEVhcgF+w/2pr5Xj4GhDQ3s7HUolMxe8QlpaHu/Mmsqeg+fwDvUm7VE6/kHeuFlZsXHjbtqM4PHVpxS9LEUqkzIkegjtii7CxkbSXNuMUq3mRVI2J3+7yIpVc0jPyEeDlmZ5G50tncxYNovWxlbWLppFRmk5kbExjAkKoL5HgaO9Na8tXoS/hzNuTnYYOJnRp9LQq1QRMTWCyoIq4m9d/peMW/8ttA9isZizO04xYXIkrt5OPEvNZtAIfwaN8EfZ24uRqRG2rjb4BXlSXFiBqaEhJhYmKBStJKfk4GplSbiHB+EeHgxxdubF/cdotVrKXpah0mgoyi3D0dwcmdSIrCdZzFryNkqFEqVCSUFdHV62thibG9PapcBvuB/7N/3Eg5MP8La15dyxm/gO96Nd0UW7ogt9HR2GurrSo1IxMjQAG2chij16kB/+jo5MDQ6mo6WDCaPCcPR2xNHbkZb6FkbHhCHR10cqk/L7N8f45Mvd7NiyBguplGExQ7m47xrTYqOZFhuNm7+gd2jr7qa3R8UQZ2e+WrOd1q4uQjzceW3ZUmxdbTGzNcfM1hxdHTHNCgWxwUFIDQx47d05SA0kxJ26gaKnhw5lD66u9phLjTCXGuHv4EBhaiFuVlZ4hXgxbvBgrO0tuXfpIv6ODgS5uGBpbIyegT56Bvq4BbhRmFKInp4uUb6+5KTkU5JRzIOMLDQqNXZmZojEIp7eS+bpvWSCvNzx9XZF1avm5PfHCXZxQV9XFzNrGeU55ez86TjTw0IFPoNKxf30LCztLagvrcPIxAhfVycCA7xxtLAgubSUrjYFx74+TKCbK4FurpQ0NFLT2kqbvJ2qpmYMdHWZPjGKWYtiWTTnI1rqWqgrqcPDzxUPP1e0fX34DfejuL4erVZL+pMXeA71RF4jx9bdlseZ2ShVKqQGBiTeiyfxXjwPz94bMOQxMjWiraub4MgAVn64gOGRgXQ0d+BsaUGYuzth7u5sefdbIiOCSJc9AY0AACAASURBVCwuZt6CyZzaeYgFS6cLitceJa+8NYVRAYMIiBpMQNRg8pPyubr/MrOiR3Bl70UKkvKZOT6K0JFDsHKy5mFSBrPfiGXlrCmsnDWFiBGBXD1wHRsXG/ZdvEHgUF9qimuQd3TQ0dJJQmYOJ/ZdwtPGVviwtyPj71Saa5tJiUtl8HD/f/l+/LdQSQ4ODNTGPXrEt98dQaNSs37DMpr6JaBLX1nKpoPfUVNSS/LtJDZ/t4a35qzhwJlfMdDVQ2pgwDdfH+T1VUJsnERPjwAnJx7l5WEhlaKnq4uOWERTh0CgMTU0RF9Pj6YOATiU6OvTq1Lx9+NUSjNLGRYbzhsTYqhoamLdyu2cPPcjB85eJ64/1lyr7WPO2oXcPnSbRRsX4mxhwYNHyZjZmnH2579wdHNn0YdzyMsvw9hMUDFKjY1wMDfn+YssZowfiaO5OTWtrVhIpVgYm3D88WNmDgtnw5eCe9SOr96jqL6eG3FPWfTaRK4/S+LN8TG4OHmz4+wxvBzsuXfnGRb2AhB4Yc8p9PUlTFv+KhuWvElNYw1vLdnCzn0biBk+ES+vEM5f2sWV1FQA4v68y5zVr3Lsh9NEzYqiPLuc2pJajh75ilUffMuzh3fo6mrj7D0BMjp/5i7vrZzLn+dusWzeVBIKCpgWHMypxwm0NrTyzuypFNXXs2uHILp57a2peNnacuPhcxZOGUNXby/6urrYymQU1NbyJCOb5bETuNwfodba2oGFuSmtbR1MDg3mdko6g1ydMZZIaOrsZJinJ21dXZyJewyAi7s9I719OHknnuUzJjF75lrmfDKXKSFD0dXR4Ul+HqFu7tzPErwOWupaWP7qZB7l5THaz48X/QEw5lIpdW2t5NXUounrw8vWll6NBgBTiQQdsZi/M3MQiUQsmTCGx3l5GOjp4e/gQGVzM21dXZhLBfKVncyMM3GPGR4sjNUDnJxILSujsqKO+eNHYaSvT4dSOTDaLqitxcfeHgdzc1oVCrIqK4n28+NcYiLtze2IxGLGhQZS1yZEy1sZGyM1MOBZURGmhoZMCAigT6ulrauLcrmcg7vPsPuHTwZwLBCEhsmlpfjZ2/ProXN8tXbZfx87tqryWnbuOcXti6eY+Oo8Lt59wslfhCondv481s97i7TsRI7/uI+ftv/B4XN76FQqKapv4MW9FMYtGEtaluBNNzkqnML6OhzMzciuqiba15ebiSlIZVImBARwKy2dg5t20dgoINkf/vAlTbVNnNn7Ox/v3MpHcxbi/uguZZW1HDj2NftPX+PnDZ8RO0MYeSrau1D1qBgcNZifPvyO+EdnSLMrpk+tYciIUPwj/Ph1w36qKvNo6H+Oiso8xo5ZyMSF0/lszQ5i5sfQUNHAsJihHH/8mEWjomn46wL3Lp8HIHHxFJwszLH3tKdHpSLlTjIGRgZs3PUrOjo6fLF6Gzk5T/mH9PXJ9zuIihpKUkoOF589RtHTwxvr59On1bJ843p09HTQ09WlsVIYSb718QKyC0pZ88VSpkeM5pPvfiLx3mPuvXzJkOgAIS5eXxjrAlz84zD1pXXs3b2BRa9vRNmtIHvyCJz9nLl/8i4hQ/04/+dNwmPDAcEubfmqr0l+dh+JVMLx7w9y6Oxudv52CrFYzLo1r/P7rTi0/SPb9qZ2UuNSMTSWcPHXi3gGe/FSJ5vZCydR19bGlh2H8Anz4bUxkQD8uvcUT3WTeHj5OrXFtcxeO5vr+67TOK2RRTPGc27PZQ42NFNYKIB67u5BdLZ2YmphgrOFBSf3X6a7X0vi4u9CbXENS9bOI9jVlXVb9wBgZmPG1KnRLBo3Gj+fUDq2f4WBkQFnd/6Fu58v5rbmWDlasWiWILXe++dFlAolVg6WXNt/nZj5MRzddoCwmChe+nnQ1tWFv6MjD5LTAch+moNYLMY/wg+pzJjr+6+T9coIUu+nYWFnQXNdMxd3nSNiimB0ExYVSFVVPV8sX01RWTZbfjmCobEhNi42HP5yD+989xF7zl5D3a/IrcyrxCvYk+yEbHT19dD0b3b/yvq3qBRcvX209pZ+LNm4muXTJvLqK++z4DOBpxAzyJ/t3x7GwcsBc1tzaopq2Lp2Kave/5YRr4xgx/ub2H/xCCHuAu+gR6Vi/fpfaJe34zrYldEzRqLoEVyCAd6ZuZTlm9aT8TADAH1DfX7f+zn7r9wieLA3D+8ncvO4kN2YmJVIiN9Q3nx3HXPfEEZVKo0GY4kEC6mUb7cdYvVHCxGLxLR2ddHd24uvvT1X4p9RW1JL2csyAJZ/+jqO/QlRkeGTKCh4wfnnCVzcd429uz9j//kbfPzGbH6/JczIbWwsKC+uYmJUODUtLdy6EM+RX7fR0FiFsreXjV/9hq2b3UAY6voPF2Gkr09TZydmUindvT3IDI345PNdfPH5CqpbWtAVi7l84xEAny1fwJTY5WzZ/SlXz95j8swYKhvlHP3qd46e+xVbmQytVjuQEFWSVcqLm4lMWjqZYYF+3L77lEcX7rHu54+Rd3QwKzyc25mZ/PMmNdTVjfbubq7cfExhcgEx82OYHBrMeyu389r7r9Lbq8LPyRHb/jFZalkZLpaWPE/Loae7h7mxMQPxaVeeJ/HNyo8IDh7Lqi+XDpzjc3svExAVwMUDJzh19XdyqqvpUCq5sPMiM96dwZkfTvPuNoFkm/4iB+8gT+xkMnJLKqgqqOL2yYs4OXkzc+0szu44w8VLOymXN3LstFARalRqNn+whJKGBo78cZnGykacfJwwszHjzrEbfPrzR3jY2AzYq62Ys5p3tn9Mb48KX3dnju0+T9TMKMzMTLCVyQh0dkJPR5er/dVaaU45affTmLpyKj++t4WJs2YRMGoI4V6e6IjF3Pk7iefXE5m6ciog2Ksd3v4zC95dhbmdOZmPMnlw8wJ/3jjJb9uO8v0vH+Pt6MpX+wTjmmdXn6FUKljw2Rtc3XuV4VOHs27xnP8+Jit2jq7aT7b/yMbli1i/fQ/2HvakPxB21I7mDgryUvnu6E+8NWUuc5a+g5OvEy7eTujq6JCdlEtxRglvrZ0PMMBUvJOVRUN5A2NGhpCSX0RPVw9OzrYU5JQSf+YhfX3CjhozdxyBQ335evVXDB05grgr5zhy7TjPEjPRN9DDQCph0+K3CQ0V3hFaWxuInDSOupJaigtecuLqIXKrqzm75xJFuVlYWjpiYWtJQvw1xGKBeJKQfJ9f9p3Gb5gv8afjGT1vNFWF1UyLjebIfqFCWPvzlyyPFVx/4nOy0dXRQa3RIDUw4Iv3fuCdb1by+PozPlyzgFWLt5CTk4COjlDojZ8xh1GzolF0dFGYUsi6Na/z02+n+PS9N/h43c90dXTxx+Ev+eLHw4CA4YjEIhRtCs79sZeAgFGUl2dzPu4cG1Z/j4mZCTIbMyYvFBR86xe+w5zlK4idMYqzf15HrdIwacFYdERinj9IYemi6dxLzqCupA6A95bO4srzF5z/5Tzrdqzh0ok7rHxnDqmlZYjFIsI8PChtbMS438Qlv7wKYxMjqoprULQrCBo2CHVfH6P9BHu2p5k5/F/svXd0VOW79/2ZTEnvPSGNFJKQEEJN6L0jTRARUZqNalcsiKA/AUUREUUREBEQpDcpoSWhJRBIIQXSezKTyWQyfWY/f+wx7zlrPe9Zv/U85z3v+a117rXyRwJsMnvv+76v+7q+1+ebGBNJo70G31jTTERUCH/uOMmIucMx6oxUFFTy3PxJ9AgOYf/VGxRkFtCpFo+gZpOFV96cR7teT1pMNL9fvs69i/dISE+kf59E/tx/no/fWYzFauWvfNEkyEkuJzUiAh83NyaPW8Ar/1hNbWkt9y7eI65fHANGpSJBwoBoMe9wvbiEI98cZf2W1Xy//RCTnhnNTxt+xc3TlW3fvtuFqtPZ9TGX7j9E3aymT2o8OpOJgvslJKX2oOB+CVK5DA9fDxEEO16cw77BPthsAns/3cXO/RvJLivDYrYwNCGe9Wt/YOriSWIy1z6ftWotidERNLa3U1FUSdbxbI4f/+ZfB7LyP+N/xv+M/z7jv0Wk0LdvX+HitWuUNDYSHeCPt6sbHXbzUblMxsErN9AoNQxJS6FerWZKaiqjRz7Ljt+3EOLtzdVHjxhsd/GVS2X89McZjDojS56biqezM80aDTo7b3HP+QxsNhsyu3x08cSxHLp1i872TgydBsYP7scve06QNCSJuYPSaWpvp6KlpQvlXWVXBXYYDPSOiMDdyZF7lVXs+vIAExdPINjLC4PZTO+IcCrstOJwPz8a1GpqVSr8PTwwWyzcuZ1PZEIET/Xpw+0nT2jr7MTTbpI7KimZkvo6GtRq+kVFYRNsPG5qJiEkhN+uXKepsonkfvFdHgKDYmNxcHBALpViNJvJLiujd0QEd8vLGRIXR1ZZWVffAIi9+TqTCQeJhBqVknBfPx43NXHz7G1CYkJYMXcaDhIJRntS7G55OYPi4nhQVcXN3AJWzH6Kt9Z9x8x54+kdHs6a9TvYuHZZFwl5y7vf8d3uT3lYU02AuweZtx4wcWQae3ef4B8fvMqN4mI2vvkN67eLEmFXR0csNitGs4Ve4eHsvXiFheNGMXPGan47tImDGdfxD/Tl+/e3A7Dn0Fc0qNWoOjuJDQwUj4eenmzeuo8XFk4jyNOTHw+c6pKmx4eG4Ovuht5kJj4khN8zs3iS9wSJRIJPsA8Thw4gI/cBP639hne+E0VqSd264evmxgcffseASSIs58T244xbMA691sBbL86murW1K+9ispj5YM13bNq4miPXsoiLCqO0spbG8kZGjR1Iz27dEASBfWdE42EHBwmLpo7jH9/9hlQuxS/Uj3uX7jH3tRnEBQUR7ufHzlN/MSG9LwAzxz/HvNUv4Rviy/i+vdmwfidu3u7MeW4CV67nMmp4PzR6PYWPRKtCfYeepqom1r23BLlUxtbfjvHOwjn/OseHsKhoYeqsl3nupen0i4riy12HiEwScwQDY2Ow2mx8sPIrPvv2TapaW6mqbcSg1fPrph+Yu2oxcT2jGBwrSo6/23OUW2ezcPPwJPP6Udbv/hGAOcMHM2X8i0QnJtJrWC9GDBLZd1ey7rFy7rSusO5KURE6o5HL+zNwcnUiMjmS5JQ4utklv2G+vlisViQSCecePGDLyvV8+vM/SAkPx1mhoKq1lbbOThrb27s4kF+tXMehs7/iKJOR8SCfxsomlHVKtG0dLH9zPs4KOaev3qJPSjwgUqNig4I5kZtD5plbhCeGU11Uzdur5pNRVERLXStj0vvQYq+gOMvllNQ3MCc9jQdVVXzx7vekTRnIkR2/cuDULtydnLlUUICrnQ8Y5e/PopmvsPijlaT3TqRdpyM5LIyP1u1g/dpXKW1owMVRwdj+IwA4dyuDA/vOcOPsRc5e2s+vpy8RGdONlpY2hqX0JNzXl+O5uYzvJTaxFdXV4aJQiDLcPy/y3ivzOJGby8DoaHYfOMPrS+bQ8W/ozGdu5ZAYHcHj2no0Sg1jBvXtqgaUNTXS1qnj1s2HPDdNPM5cKSxi7qB0yuwYtAg/P5wVci4XFtHcrCIushsxdgEWwPWSEi6dvMHkmSNJCAkht7ISZ7mc6MBAShoaiPDzI8rfnwa1mmtFjwCof1zPkCGpouDI3R0vFxfq2tpEUVdbG7klj5nQLxWp3azlr7yHzElPo02nw0WhYM3a7WxcvxyFTC76Wuw8SO9BSZSXiMnnYem92fnNQT78+CVOXr/FgF7x+Ht4YLHZeFhdzcjEROrb2oi0b0YN7e3cr6xkYkovHtbUEuzpSUVLC4Pj4lDrOmls15Bb8pj5I0V4bodez/5zGUTGdOPayWxWr5hHmK/vv86iEJ+UJHy44wf8PD1o6+wkxMurqzRU9riagSkJnDiWQVz/HgyOj+NGwSMCfL0J8/HBKgjojUZy7c44eRl5vPPBYrIKHyGVy1A3q3l6zFBRntzQgFwmY3Lv3l1U3U6jkZ+2HmTxijk4KeSUN7fQv3t3cirKaWpSMaBnDxrVauqaxAjBydVJRG61tiJ1cKC8rpFXp0xBp9eSWVJC36hICmtF8Y+3HUKqM5loaGjh23c/41TGETQGA7GBgbTr9ew7doHg6GD6x0TTaIfVOtg5AtP79ae6VSTuWKxWsjPzyL2Yy++/f8GN4mL+fnLNGg351/NJGpJEXVkd4fFh1Jc3MG5Yf7IfFhET2e3f4dAj/f04cCUTLx8PPJydSQwN5VF9PUnduuHq6Mjpe/fRdegIDRZdtKQODuhMJh4XVgCgblaz9vWFTH9qGZOXPsWTvCfED+hBei+xFv7dl/vpP7E/yTGRqHU6igqesHTmBGyCiLeP8vfnbnk5h3efAeDxw2Le/HI1VpsNZ7mcM0eukD5xAA9vFpJ5MoMz53Zx9dEjLPZ34tTe8zz78nRcHR0J9PTkx93H6DUkCYvNRkp4OEqtluiAAI5fuwlAQlwkCaGhbP/5CLF9YnhqYP8uiOvd8nLuZRdQX15P6qjezBstTqqCmlpCfXzY8OlOlqycQzdfX1wUCrQGA75ubuTX1HDq5DVWL50DiFYBsYGBzJn1Bl/seI8alYowHx+cFAo++2gH76xdSrivL1n2aCo5LIzMkhL62cngMYGBtOl0lDc30zcyks+/2sOHby+izm6AE+zlxaP6eto6OxkcF4fMTuZa/vZm3nj7BRFjFx5Ok0bMuwR5euHp4sK9igqaNBrigoJICA3911kUonr0ELYfOkSojw86k4leYd24WFAIQHt7B5HBgTg4OBDl788H72xlwetz8HR25vuN+9jwxUou5T3E30fs1s6+lMNzz06kuKGB8/suUlVSTlVVAVl3LzJj8hKWrF+GxWQhIljEPAyKjeVxUxMezs5UtraikEopa2jEZrHi5eku1q4tFjJzxATUqLRUYoOCqFOp8HJ15fln3uKX/V+QX1ND74gITFYr/9j4C++/u4h6e6tyRUsLHs7ODI+PR6PXc7e8nJqaRkxGM0+PGYrRbKa8uRl3e+KtZ7durN34MyuXzSXM1w+VtoML+fmM7tkTmVTa5SXwtyvy5fM3WbVkNnlVVaRGRrJq5UaGPj2UoCBf1B2dRAYGsGz2y+Q9uALAsZwcKkuqCYwIpE/3KCL9/GjWaOg0Ggnx9ubkbbHq8OtnYmJy18Et6Ewm2vV6UsLCyCgqIi0mhmaNhhBvb1wdHSlpqOdWgQjymDkkjcK6Onzd3PBwdsZitTJn8ov8deUP9p/LILlnDBF+fl3NQS0dHYT7+tLa0YG6s5M+UVGUNjTg6eLChXt5jO+bilQi6QrVnzQ1dXkg/N2eLggC7nZVYrCXJ9lljxmVKHZ5tut0FNTWkhwWxrYfDvHaS7PxcXNDpdUS5utLTnk53ezVob99HwwmE1//Yw/fb32P8uZmMh8WschuzKI3GblS9IiYwEB+/ukoAOEJ4bwycxKXCwsZ0qMHpQ0NpEZGUtXagt5k5szFbB5ee8j3Oz4AQCqRcOLePeKCgrqqMIIg4OniwoFL15k/bjjOCkfuV1YC0Cs8nDqVCoVMhrerKxabjdYODd18fHlQVUWfqChuFBfTYa+G9ImMxMHBwd6WradH8L+Y70NwtwhhyvSXaKis5e3NK3l11mImPSOWJCc+PZL7OUX4hPjy6OYjhk5Jp13bSXSw2Kvw+rPLWPbZ+3SPEptr/sZml5VV01TZyNuvPUdTeztvvfw5r61fQualuzg6KwiICARg3dLl/HHlNHUqFYmhoXzx0Y+s37SSH3cdFTPAJ67j5OTC4o9EnYJGr2fvp7t5b8vrTEsfwY38u9Sq2mhsUaFt6+DCrxeY9/48Vs+Yx6BBoqBq3ntzaWtV4+HjwaZlaxn51FT6j+9HclgY2fmPyP0rB3cfjy4r+j+OfsPu05fo06sHCSEh+Li58+7n3zPuqaEMT0hgzRc/4h3g3dW5OWbKYGRSKU9qG7BarMwams6R69l4ersT5CXSqHqHhxMVLuYVVqzbQHVRNUlDelKYVcT1CydZ/vmHJCdEc/t2PhIHCRFxYXRqRTBp2b3HXD95gamLZvMk7wnO7s7MeWEylS0tSBB3sauX7vD6EnHXdFYoOHLnDs4KBS1NotfE08MHk1VaisFsZlBsLGarlaI6kelYXd3I7JGDySwt5dy+C3z5xWquFD1iVGIiFS0t7N9/lti+saQn9rDfn0ukDU8VW4PX7WbFusXcf1DCqEGpZOcV0S+pB9VKZReivrK+iW5BImI9JTwcLxcXvti4m2cWTSEhJITfz1/hhSljcXV07IrWbpSUMDA6Gi9XV45cz0bhrMDL3Y2cq/dprVcy48VJ1DQ0M8DuMZpXUYXNYiUlOori+no61Fq0bVoG9k/CZDbTIyQEi9Xa1drs5uTE+s2/8OKiaRTU1jIwOppOoxGJRIJCJqO+rY2fN/9Or+HikWzM8P7kV1Vj0OqpyK9kyPgB1De2onBW4OHmyqjERL74dh8J6WK01lrbyrD03hjMZja+tY3xL05g+awp/zrVB7mjgivn/2Th2kUM6dEDf/9w+o/vR//x/ewJGmipaSFt4gCKHzzmmUHpnD56hZvX7iMIAum9E0mLiSEtJoY6lYo9mw6QfSKb4jslXMjPJ7uomOfen4dSq+Xort0ER4dQ8bCCiocVDB46nf7du+NkpzUPmNSf+TNeYd93X/H01JHk5JxnwOSBXditPpGRfPTt2/SNimTpGx9Tq2pDLpUyJrUXYwf3Y+e+Dei0elat/5yoXlFE9YpC16lnwsC+DO3RA3//MH788mNCvL1Z9eIaFowZwaAZg/ll62e8uuFlXt3wMo+bmqkuqsZitXIhP593P/+ejWteY0RiIiaLhYDwAPzD/LuQ5/EhISSEhDBlQF+eHTGEOpWKOcMHc+jLwySEhBDi5cX9qipeWbOWV9as5e3Fz5B/9w5DB6SQkJbAj8d2k5wQzbpln7Fs7lOsfHY6U1NTUTW2oWpsIzIpEicnV6RyKa+8/ixyhZzd3/6BVq3FSaEgNiiI6N7RZBQVkVFURH1bG6kREbQ0KTn1wynioyMwWiwU5JbQ0qDk8F/X8XFzI9zXl3BfX8xGE6rOTqqe1NI9JRqbIDoiOcrlXLyRQ35mHgc2/dr1voTEhJB1OYfSihr0nSJkZUR6KlabwE/rtlLW2MiNU9kEenoS6OmJtk2LzmQSFYEFxfx2/CJmo4nzp25Q3NBAzl+5OMpkNGs07P7jLLv/OMvN07cI9/NDqdVi1BmpLalFZzQyYnwa7l5u6E0mBicl4O7kjLuTM1tWrqNPbHcu38hheEICx7/7kxGDUvF3d6dZo8HDyYluPj5UKZVUKZUcuppJ7tWbKGQytqzawOEzV3GUy+nm44PBbOJBfilJQ5IYObQvI4f2pV2nY/s7m3F0dkQqk1JT08SpHSdxdXHmQXYBGr2ePVs34eSowMlRgUapYeuG3VQ0NWMwaAmNCPqn5+N/i0ghMTlZyLp1i8++3E1pbgn7/9hMTrmYRV0ydR5vbP6MuLgIDmz7k+dXzWbtK59wKeN3tAYDro6OfL79N0aMGwiATRBE6zA7lahVq6XDzlIAiA4MpLKlhdzixwCMSE3mVmkZWcezRFOWock8NTwNHzdXli3/gl92ruXbgyc4uFUUhdhsVlZtWcP3737F179uFs/gF7KISe7OgU2HiO0bS0xqDE6uTl2JNLPRhINMSllOKW+/9hyujo6otFrUOh1DUtJY8+1Wls+eynsbdgCw4f2XaNfp2PXHWZY8M5mH1dWMSExE6iBl3bY9zJk5hl0/H8M/TDzzn917DJ1Ow4J3X2Xj6rcpryxgxrTlbPrxQyYPmUhMTCpnzu3irv2e7vv+KG+9v5AffzxCcHQwgiBw69Qtdv7yCZ9+8TOZ5/9C19nO2esiCmPnL8d4d8V8Dl25waBeiTyqrycuOJjKlhby7z7inSVzKW1o4LP3RZn2Z1tWU6NUcfpwBu+sfr7LYk0ikdDU3s6V6zm8OHNC1++jNRgozXtMXO8Y0mNj+errfTz17FiCvbxoam9nUFwcWoOBJ3YLNVVnJ37u7hz67Syfr3mF5W9uYsDkgfTtEYO3iwsnrmST3DOGU3+Imf6wHmFMHplGg1pN74gIfj56joXTx3OvooLHFbV4+nmikMkYmZjIgYuiwGtQak9cHR1pUKu5fjWHtxc/Q31bG/VqNQOjxQXQUSYjzFdMQHcajdx7UkFMSDDljU1MSu3NubwHovHvwlldx52/KzS5N/NZ9MxknORyHGUyfjhyhkUzJrB93zEUjqIT1uKnJ1KvFo+g0QGB6E0mdh05R1JqHGkxMTjKZGgMBi7kPeD7d7/kRtYx/p7PFquVytZWcp+UM3Ngf/acufxPRwr/LRaFpJQUoeDBA2pVKg6cvMybLzxNZol4Pv37ZmZm3mfqeBGBferGbSIigukdEUGgpycNajW3nzwB4PcvDjJ45mACIwJJi4slv6aG8cnJGMxmLhcW0i8qirKmJmR2/v6w+HjWbd1Dz/RExiUnU6NS4ePqiotCwYEL13hp2gTq29q6UGbqzk7SYmI4nXuPGQMHsP2341TkV/D91+9Sq1IR4u1NSUM9IV7eGO2S0y827SYsPoySOyV8tfkNHGUyDt+6TZ/uUeQ+KUcqlTK9X1/Udh+B8zn3cXV34cjXf/LT7nW4OzlhsljYvPMga1e8wP3KSvRmc5fHhaNMxtrVXzP3nWdQNbfxJO8JYQnhdKg66JeebCfyQEKIeMTSmUyoOzupbWvDUSajZ2goBbW1FNfVM7F3CjUqFUazuev3ifDzo3tAAO9v2EFCWgJj+qZwNusufXrG0tyhobGhlZF9U/BwFsP1vUcvIFPIiI6PYGJKCp9+s4ePV7/IngsZjEhNJsjLix0HTtK7nxjqujk5sePzX9n+/RpqlErGDhjB5j/2UllQgaefJ8MG8llcGAAAIABJREFUimi2v3M0WoOBoro6LDYbaTHRNLdrqGhp4ft3v+bcxV/Zc+YycXER7Nksumx/unkVu3YfZ/HC6dS3tZH3sITpowZzJusuv236iR8PbuXK7TzSUhPJzhH7JeZPGoXBbObm48fIpVKSw7rh5eLK3fJyvFxcaNZoUMhk9LMraa02G3KZjMPXxM1l4cQxHMzKJsTXh8raRiryK3jjlblMGvMsAOPmTOejVeI9mTtyKHtOXUAQoPzBE8bPGUVDs5Lesd2R2Z25FVIp0YGB/HD0DEumTeC3y9foGRNJSVUtLm7OXNx3ic2bXu9yAWvWaGioasTJzZkXxo7EbLHg6uT0r7Mo+AeECgtee4+Cm3nMfv1ZDFo9t8+IHgjTX3uKHe9vY8rimVz+/QLjFkzghSljef/j75A7ynF0UpA+cWBXdj0lPIxPNu7CwUGCm7c7770yj1uPH+Mok+Hq6Mi2L3/j9JHdREWJZ7WFH7/K8JQkVi/+hJmrZvPjh1t4atGz1JbW8vpbC/jt4DlO7zvIko9XA9DW1EZy/3hMFit/bDnCx5tXEOXvz/eHTtFS3Ux8WgLKeiW3Tt6kuFj8DPvP7uf02essWzCTZ2etJnVEP07s3cuMRQuZPH0Ea1/7jMT+vSjPF3fO9KmDcPdx5+XpEylrbGTv3pMEhAcweVQ6BrOZ1MhIBg+eicUillHXfL+Oyb17c+r+feKCgsi8X8CcUUM5cPEa0d270arpYGxyEudy7wPQJ7Y7P//wJzPnT+DtF95i8UcryDyWhdxRzoCJAwgM8UPm4NDVvLNx2SekjRrNuLkjadNoqSqooiCzgDfWL+XA7lOseXcR+09nEBAuJm/D/f0oKC7n8Nb9DJ48Ek9/TxbPmsibb3xJRFIkS+c/xanMOwxJ7QmIlmuXzmZRVVSNu487g6YNora0lvnTx+Ll4sLSpeuI6tUd/25iZBTaPZjG6ibO/nKafmMH0mtwEtePZuLs5sTCRdP54fs/6FR34mpvSMvLvE3ywH6MfWYkIxISePXl9eTnZdO7/zAie0bg6OrEe0ufJau0lF++OgiAh68HLy+fg4DAsufeYsn65fyx+QBNTVV4ewcxbOYoho3o11X2zLh1n6yjWez46SNWr9qEf5g/OVeyGfvsZN5cOJtdZy4ypG8yfxwSUeuaVg2OLo74hvhSXVRFs/3dMZvMaNu09BnTh+3vb2Tyc88AojO3o7MjVY8qOfznFhYt+QSr2co3O97n1Rc/Ye03qzly+CJx/cXS/K1Tt1DVqwiLD8Nms5F34w4ZGb/96+QUAGQKGY8e3eTehVzCu4di1Bsx6o38/sVBHjy4wrhh/bl16zT5Nwq4XlxM+lPp9ByUSFhCOEW5Jag7O1F3dqIzmpg6ZzSjpw0lNE4stT0qq8TD2Vk8//aLJS6ufxd+PTY8lEd1dVy/fpjs49nU1pbi6OJIt7hu6EwmQqJDqKoqYP/mn8WvrWKIfPDLP3D1cCEmMJCMoiK0ai23L91Ar9V3+TKo1U2o1U2khIfTVNnMXw8fEtOrB37d/HhqwQL8Qv249NdNioqyCYwMoqgoi6KiLJL7xTMmvQ83ioux2Gx4B3jj5e/Frp+PoTebGTx4JllZx3j48BoPH17jrwOXOffgAcpWNZezc5k5fBBHs24xLr0vB7Yd5cR3J/Bxc6NbgB/dAvwoa2wiNCaU0spaHj26icVi5a/Tv5I2NY2ye2XcunCXKycySbDnKoqLb+Hp7yl6R9YpKb5TTERiBKX1DRTdfYiboxMWk4XL+y9zef9l+kRGoG3Tcv/+JTx8PXh87zFag4HQOBFxX1Bbi1+QD0+am3nS3ExBcTmqxjYsJjMu7i7UltZiNplxcXTkWnEx8QMT8PTzJLpHONE9wql5XEdrvZKHD68QFh9GeWEl7a3tpE0YICY3q5upK6/mTsY17mRco6Wlhl4jetHcrKKtsxNNm5rk3oMw6ow4ujpx+8wtapRK4kOCMRlMmAwmZAoZTgoFQZ5e3L9/CbPRTOLAJHx8guk9vB8Wk4ValQofNzd83NxoqmzCbDKTWVIi8hjC/LFYTNw8lU2n0ciAXvEEe3qSPCSJ5CFJNFU1IZFICIkNISQmlJaWOiKTImksb0Sv1ZP5ZyY9UwbiFeiFV6AX/Sf0w8XThdzc82Kn5sAE4tPiUXZ0UFHxgItX7hAQHoBcIUeukNMtrhs9B/dE16HD088Ts9n4T8/F/xaLgtlkpqmiCQcHB9y83WlqbKW1uZ7W5npcvVyxWMyYLBZcXT1Q1inxd3fHZrPR3qqhpaYFd283LDYbFpsNR7kcg9lMu06Hsk6JVCJB2SDWevUmIx2qDrTaNkwmAyaTgUa1mg6DAXd3HwIjA+nsbMdmsYm+CDKZaL5qMqJQOKNQOOPvH4arQlw01C3t6M1mLDYbbp6uBIeKVm4qVROdnRq0WjVarRqrzUZ7azs2QaC1tpW2xjZsFit6rR6fYB9MJgNtjW1IpTKkUjGiaenoQEA8rnSoOmhrVOEf5o+jTIbFYsLZ2Q29vgO9vgO5QkaItzceXm74BPtitlpxcXNGazDg4edBcPcgkXys19Ou1+Pp7ExrfSsu7i4IgoBMJsXXNwST3kRgRCBOrk64uLug1GpRarU4OblS/6QevcmModNAS0M9FrMFg1aPVCrHZLWiblbj6eeJp58ncqmoD3F0dKZTIypFVZ2d2Kw2VI0qPJ2dRd9KO09B26bF1cMFiYMDzdXNyB3lONgjFbPVSoeqA6PO2DUBNUoNNosVudwJdZMaV09X3LzdMJjNaA0GkEjQ6TRd91OhcETXrsNkECMrqVSOySgCav4+vxvMZpwVYhJPKpOKm5LZjNTBAZlMgUlvwt3HAxcXD/QaPdo2MQH5Nw2qpaaFoKggbIJAYGQA2rYOvLwCCY4KwWA3ov3bJRzA1cOFxspGXF2csVgsODo64+TqJD5jJwU2mw2z0Yy7lxvuXm44u7tgs9iQSBywCQISB9Br9WgMBqxWK37d/FDWK7GYLV3PxmK2YDFZaCxvwNv7n080/t+AW3sg2sP9PboDHwNeiETnFvvP1wiCcPb/9P/5n/E/43/Gf+34P14UBEEoAXoDSCQSKVCHCHJdCHwtCMKX/+y13H08eOH1OTi7OaFqVPHMyKFo7DX4z1YuZ/WnogX5pKcXoHBSsP/nk6z76GX21l/k3VfnsT/jOs4KccU3ms2M7tlTxGRpOmnt6KDgRj7TJg2jRqni2dnj8QvxpaNN7KAbmZjI+bwHzHt5FWaDiSWvf8TAtGT83N3582QGby19BpPBxM9ffg7AoEHTcXZ0ROEoZ9VnS6lqbUXZqiasRxjtrRpUjSr8AkIY+8JYJjVPA0TxTMrIFJT1SrbuEPX+WaVlyKQOfP3mFt7auJlFT0+kUyOKkQbFignSWpWK4tvFjJkymPiQEJ6d/iqTxw5izffr+OvAZeQK8fFt++Jt+ozri7urC2d+PkfK2nAu/HqR2ds/5PeftjB15hKO3L5DalQkABve287c15+mpaWNdzd+i5u3OyMmTee5CSM5cj2br957B4Ohk5ShpwF4Yfm7PLtgMrUqFTOnjEDfoWPBc1M4e+02E16YjLuTE/1H92HbO98AItx24Ji+GPVv8vTM0dSPVHPy1DVef3UuhzMyybhyl2Xzp3OtWJQUO0gdmD1vArmFZXSPChWZl4GBtHZocHN0ZN27S6hra+vyufAP82dYv2TMJgurn5/Jx5t/Zv7LM0gJC0NjMDBj2TS0HTpa60Qhktlo5rnJo7hSVITWYGDa8ulMHdiPoro6/Nzd6dErWrT28/Ji8ksiMNjTxYXs/EfERXZj9acbmTioH45yOdpZYwn39eVYTg6eLi7kVVUBMGDyABKiwpE7OLBilaiNmT5zNFWtrTgrFCSEhHChoIApqb273nur1caklBTSY2LoFteN2WkDSY4IZ//e0/QZ24dZwwZ15XX8PTwYmhBPaKx43F298GnMVhsOEgkrN36AqlHFqiWzu64t6y/2QhTZRWQl9Q2cPLntn5qP/1mQldHAE0EQqv4t+eWfHf7eolV569yR5FzMRaPXs3C62Krc3vIZs2aM4q+rd+g5qCdLnxrP+LEv0Gk08vKsSWgNBspyyoiLFHHqaz/ZwZQF40VlZHQkeaXl7P/18y7+XuhEH16eMYlalSiqqVYqCfT2oseAHug0nYwd3I/uAQHUqFRkn8rktednMG3GSAIjRbFTWW4ZLRoNT/KeELJkJvt+P4OzuwsJI/pxT29ErpDz4661lDU24t9PVNstWfAxH3y1goxrObg6OmK1CYxPTkbV2YlC4dSlsR82S6QPOzg4UFLfQGFWIW8tm0dhXR1yqRSdTsPa1V9z6I/NOEgkhNjx4n3G9eXFkSPZsv9PCu7folY1kw5VB1sPHOeltz9Gr9UzOjmpq6Q3ZsEYfN3cOPTNEV778EUKSyuISoqiqb2durI63vxiExazpUu8NGraEHqFh/PSqxv4cMOrLF/yNB0GIxOHDeDuk3Ks9jZnyz9WiM9MryPU25thUwfRIzgEi9XGuy8/K07IYWlUtLSg0esJ9hRVqNGj09n101FefXUOod7eLF+9kamLJ9EvKorqViUKmYwof38K7WKnp4aloTeZ6DsqVfStDPGl8HElTe3tJIeFoe3QMS2tf1fz0bDBqVwuLCQtJgabYMPZ1QkPZ2dCvL05evYaqf0TEQQBudShSzr+N9qvtaOD4aP7E+QpAnF1JhMyqZRwP7+uhjSA+SOHcbmwEBeFgvslT1g0fjSn7t/nSWEF6bGxHLmezZT0/vxwWJR2u3q48spTE6hoaSbKP4CAAB+UWi37dp9kyJR09CYTzgoFj+pFDL6/hwch3t7ExEfQ1N5OmF12rdaJBr9L5qzg1dlTEOyfwEmuoFrZikavZ3TPnl3o939m/GctCnOBA//m++USiWQBkAO8+b9znbbbzL0E4OMfgFKrpam2hetnLjD56VFkXhdhFGkj+2Cx2lg4fTzf/3oci9XK0dM7cZTJKG1sxGg2s3LZXKaPExWQL3/6BuN79UKj1+Ph7Exjezu5FRXcuPWAF2dPRCGTcSYvj9hAcZK3dnRw/vAV+o7ry7RBA9h36hKvzZ6Ch5MTB458Ta1KRV5pOSlJonItKCyAitIaVqxfwqXb93lmznjulVfQLyqKgt7RJMRGojUYuHbjHqGxYglw5951fLbpF1zcXcgpryA6MJDrj4qZ2DuFKUuncze3iDAfHzo7xEkol0qZk57GYYmEvKoqqhtbSAgJYcG7rxIUFsCp+/dRtqq7vCvcXV3Ysv9P3nhuFnsuZ2C2Wtj5yycAPKyuJsTbmx/2HqNbnLhwpvaIJj4kmHWbV5FV+AhPP08cZFJig4IYNS6NvIclODp7MHOQ6Lr1w8FTeLm68tWWN3lQXY3eZGJscjIX8/O5ceQ6wxLi+XH3MV5/WcyUO8nlfLH9N2JSYyhtaMBJLmfnifPMHDWYs7dzmTkkDZsgsPMbMdM/5cUJePh6cPyvG3j6ezJ89jB2frSTtAOb8HRxoVrZisliRWrfcI78dZ0hA3uh69STV1XFgysPKMjL5tzVo8gcHGiqasJ1uCNOLuKkzbhyl5DoYH757RQB4QGkJsdx6/FjekdEMGFMOoW1tSjrlSSGhnZ1w9558oTv1uzg9U0rsNpslDU18ripmXvXHyDMGkPG5dvknM+hpkaMdnJyztOu04mMj8wCKvumcP1EFjOeG09ZYyMld0r4a9d5Ptv2FgBmq4XKlhbKm1uQS2VE2KXmZqOZ4z+cYtyL4zhwLZMda8SA+6cjO5BLpdgEgRBvb5TaDrxd3XjS3EKYjw+f//wZGoOhq1fCz92dHsEhnLt0izx/f4oelP3Tk/n/uiQpkUgUQD3QUxCEJolEEgi0IvpMrgeCBUFY9B9dI7VPH+FKZiYbv92Hk6sTC+ZOxEkuHgeem7mc97a+y+3reTQ8qeejj19mVPpE9p7+jbjgYDr0elYu2cCGbaKnwZPmZhHBdj+P2OAgEXYaGcmj+noe19QTExZCdEBAF7Djbx3EtVt53D13l1nLpzMpJYXihgZemr2M8xkHOXw1k2t/iHzAtpZWpi+fxYntR1n++at0Go1Ul9UikUg49fOf+AeG8uGmZdwtfoyfr6hpf1JczbQxg7h0N4+RfVO67MpdHR3x8wnk6M3rpMXE8Pk3oi/vJ28uIr+mhivXc1kyexJHM2/x7Igh9IjpzUc7vmFIahKXs3PxCfYF4OLeixTcv8XKze/zwqiRNKjbWPLce3y+Yw0vzV6Gq6snFy7u5Y/btwHI2J/B1EUT+XL1Fyz+5DUeXH1Ih6qDH759nwUvfkhLYwMGQycffS8a8uTlPGLJ7Els2PwLH7y1kLLGRlIjI8koKqKhWcmcoel0GIxs+kr8/Yc+NYj02FjO59xn9pA0Oo1GvFxckUmlqDs7OXHrLi+MHsFNu5Cnw2BAb1ccDo+P5+CNLPrGReOscKS6tZXBcXHiQvenSEUaPiiVcF9fzuc9YNbAAby2/B/MeGUqqRERonN2dTXJYWFklYlNcu1aHZP7pFLe3ExccDCP6urwdXfHx9WV8uZmKlpaUMhkhNgl4QABHh44yeWczr2Hi7MT0/r2Jbu0FC9XV8J9fWnX6dCZTF39Kr5ubuw6+Rd9UuIxms30j44mp7yc+/eLmTdlNAp7A9Nje7Sm1GpJjYzERaGg02iktKGBPlFRHLp1Cy8XF1pUasb07oWqUzzmOsrkeLo486C6BqPZzJTUVKw2Gy32fpFN635ix3drcLDrb6QODpgtFgrr6ogPDubrPUf48JX5/zU6BYlEMg1YJgjCuP/Nn0UCpwVBSPqPrtEjKUk4fekS3q6ulDU10Ts8vEvtltStG3KZjM++3sPHbyykob2d8uZmKqvruXniJtu3vU9RXZ2YdQY+fmUdUxbOwmQ0oW5SY9QZGTx9EEnduvHhiq+Y/dZsKgoqWDx3CgDeLi7UqFT4url1ZejVdnvxqpoGnhs9HI3BgL1DFj93DxrVavzc3dGZTIwaMp1tB78jyMuLSD8/lNoOTBaRmPT3Tr5x8x5mPj+BHiEhOMpkdBqNLJn3DjOWzWbe2OF0Go04SEBmJzU9qK5m+9pfmP3m05z56SzfbnuPOpWKuOBgPvzHj0T3jmbm8EGY7V2DSm0Htao2zFYL/btHE+Ltw5XCAi6fy+a1xU/jJJfz/DPvcOSoaNNW1tTI1dsPiIkNJy0mBrnUAblUxv6rN1gwajg1SiUSiYRXnl8DwO6Doh3c9p+P8Oqimbg4OlKtVBLi5YVNsJFXVU1cUFBX6Hr8Yha9UuLoESyqJWVSKRkFhQyMjaG4vp5+3buTX1PD4Fgx+jJZrRy+lsXQlJ5oDQbyy6vw9vagX1QU527n8rT9bN1mbwCLDQqiUa3GYrPaJ6+CrNJSMi7c4rUXZ1DR3ELviAjKmkQSlJNcwXff/s6mdSv4Zt9Rhg7tQzdvb5wVCo7duMlzo4cjINCs0XQxMAI9PblVWMKoPsl4ubiikElp0XRQo1LRzce7i29x/o4Y0c4ckoZEIuFSQQGOcjlBnp4YzGbSYmL4/Vom+z7fxYTnn6K5WuzOfX7hUzhIoKShkb6RkWiNInNUre5Aq9by0rQJFDc0UNYofoaEkBBCvL2x2Wx4urhQUFtLsJcnDep2YgIDaFC3E+zl2QV6dVEoyK+pwVmhIDogACe5HF939/+yReEg8JcgCLvt3wf/7TotkUheBwYKgjD3P7pGcu/ewsmLF9h/+ALpw1PxdXPrQnW9vmQ9s9+YjdlkEUtXXq6sW7qC4sf3Ka5vINDTk7eWb+LXXzcA8NXuw0ydOIQOg5HbdwvQtmkJTwijX1wMX27YxRsfLMTH1a3rZpusVmICA7iU84DSu6WMnj6U4fHxVCuVTB81k9v3Mjh+5y7ndoq7lEwh49lVs9j2/ve8sXkl549cISo5CrPRTHtrO+pmNd17dcfD14PQQDEUPb73HG+98wKXcx8yJb0/Hk5OCAi4OjoxZ+47zH9nLuOTk/n06z0AvLVsHruOnEUql+Hm7YZEImHO8MHMm/0GExZOZv7EURzNuoWLmwhlufDrRTpUHez85ROef+Yt3t68klFJyVx/VMQXb36LTCZn3bdvdLWL7/v8dya9NIkT24/z9JuzKX9QjkQi4e2X5rLuq18ouVOMT6APPiFiJDJkSjrxwcH8uOMwk54ZjdVmo09kBCUNjUQHBODn7o7WYGDHflEW/dp8sa35RkkJw+LjOXr3Ls4KBb3CwvD3cCertAxHmYxe4eGACHFxc3IiNSICvcnEnzdu8uK4UTS1t3OvspLJvcXknMYO3iltaADAKgikxcRwr6KCcD9fOgxGgjw9MFmsFNTWdoXSg+PicHV0RCKRUN7cjJerK8Genjxubqa6tRWFTEZ6bOy/a4gK8vKiWSNOsMySEhJDQ4ny96etsxN/Dw/kUilqOzsBxIgzv6YGuUyG3MGBxNBQKltbOXjoPO8tm09ZUxOujo5UtPxdlIOYwAAa2zWkx8TwoLoaQRCoUSkZlZjI46Zm4oKCkDr8P6oBiUTCn3fu2HkbogmS1MGBjKIi/vz5NNu3vEOxPQcR5uuL1WbDRaGgQa1GrdORGhn5//2iIJFIXIAaoLsgCO32n+1DrEoIQCXw8t+LxP/biOoRL8yat5wP315EZUsLx45ldPUyDIuPp7Cujm0bf2XrV2/xoKYGrcFA9pVcmqqa8AvxZfGCafjbW2gP3cjmgwVLGTBgMo7OTqz7apXo8uPlxa+HzlGWW8bAKQPpFinazBXfL2PF89OpUaqIDQqioLaW3TuPompQ0W98P8oflvPSq7OJsecg/tbvK2RSShoaObL3LCtWzSPc17errbldp0NAQKUVd7bV81Zy4MxePJydOXY1m9wLucSkxnDxwBl++3MbNkFg48bdfPaJaBF26/FjPl66hl1HdlDe0ozBZObQl4f59JvXOXH2Ol4BXoxL79sVHSV168bWA8dZOH08NSoVRw5fYPyUoQyNT8BsEWvkj+rqKLUvhCMSEli5/Ateef95Qr296TQaiQkMJG3ABLJvn0Pq4IDUwYGlr64H4OMNr/H7sYtcPHCGS5f3kV1Wxm/fH+WN915EEERnqsLa2q42ZlVnJ51GIyazmUtns3l/+XzUOh2X8wtoqWkhNDqEwXFxXS3DT5qauJCZQ/fYMFSaDvQaPUP7JBFsD+d/PHSK9lYNK5eK2XWt0YDeZKa0sRFlq5rF40fTYTCw7dejPL7/mPSpaQQF++HnLqpcTWYze789zGf/WImfuzvvb9hBysgUDFo9VUXVvLxwBn7u7uhNJt5b8y0A0b2jWfT0RMxWKw1qNYGenqh1nfi6uZNZUoJa2c4L40ZhtopS9i0/H+bNJXOQOjig1GrZ9NVe3nt7Ie5Ojihkcrb/cYo5E4bz4Xvi9cMSwrGYLLyyeCbf7TiEu48HM6eNpFGtprqxhRG9etLQ3s4Au/dEfk0NGZm5TBgxkAvX7xLaPZj87ELeXzafGyUlPLxfQnVRNZvXi8nea8XFfP3ONqYsnYayXsnyF2f+10UK/xkjJjFROHj6NDu+3I+rhyub16/gWE4OAC+MGMXbn21j/NShfPfJL/Qd15crf1xi98HN3K+sZFRiIp989QsvLJgKiA1RPYKDqW9r41F9PUaLmcLcUqZPGka1Ukm4ry/3q6p4cl/slVj2wgzya2rY8/UhlI1KUkf3YfiYAQR7efH9twfZvH4Fn369hx82ipiu8PAEvvn9Oza9tZUPvnkTNycnsu6JevmrB68SkxqDXqun1/BeKBvECsfEkWk8qK5G29bBtCEDcZA4UNnSQqfRyNJpC1i65h0WzprA+++LL8zWr96iSdPOpbt5OLk5ExkYQEJICP17DWbnqd8RBIED247i4Se+9L//tIWX3v6YcVOH8O7Cdzn+1z6Wzv+A4ye+RSaV0b//RHYc+q4rW/7Biq94Zd1CMk5nIZPLCE8I4+SO4/x6cDNfbv+d37Z/g1bbxsmbV+3XP8Ebb79AVUsL3QMCOHrhBmOG9SenuAxlnZLVz8/kYXU1i6aLqaPfz+zDaLHw09aDLH9zPjX2HbtnaCiFdXVcOZ3FB6+/2OVVWVBSgV+QD6qWNgb1SuRWYQnpSfG4OzlxregRMwb0o6pVSaudNNXU3k6AhwdH953ny/UreX/DDqbOGU2v8HA0ej1XHxZgswnUPxarFTarwBtLZnPnSTkBHh5cuXWf6aMGc7+qEg8nZ4ofV5Mc3524oCCOZ4l5l6iwYPw9PNAaDBw7cIE3V81H3dmJ0WIhPjiYW48f4+Xq2rWwXSkqwmqx4uzkSDdvb5wUCpo1Gu7fLWL2lBFE+PnTqFZ3lVX/btrq1z2KBnU7Jy9l8crTk7lQUEBZfjlmk5mlc6d0NdU5yuWUNzdz+ux1Ro1JI95+NNOZTBy9lElhViFffL6yK7Kw2mwotVpKGxroERLC6YybrH52+r+OzNlFocBZocBqttJrRC9kUimpkZGkRkbSr99EWmpaRKfnDo2oXDN0crf8CSnh4RgtFs4dPESYrw9hvj40tbdjMJtoam8n0NOTovtl9E9PRiaVUl3XRI1KhbNCQYe6gw51BwqZlIHR0TRU13H16gF8gnwor2mgvq0NB6kEnUmUvcbG9iM2th8NDeW06/Xk5JzHarPRptWSFN+dUz8e517OZRorGwlPCEfhJH4eq9lKh50iPLJvCi2aDpo1GpwUchRyOTExfZDKpdS1taHr0KHr0JFVVoa7kzMxkd2IDAxAZqcExcSkEujpSaumw26xBhIJTJ25BL1WLwJPXD1xksuRyeRIJBL695/I3bvnCPDwwFEuw1Euw9XLFavNRva5K7S3tKNubqf8yQOUWi0Xjxxn0sznmTJjKRKJBIlEgl4rqiAKWEljAAAgAElEQVQ9nJ3RmUz07ZNAfVsbaYk9cHYXlZPdAwKw2WzYbDa0BgM9goMwGkwYzGYsViu9IyKoaGmhT2QENouNytZWogMDiQ4MZHBqIqqWNqRyGaE+Pvj7e2Mwmwn18cFistCgbqe1o4M7dwq4c6eA9NhYntQ2YDFbMFssRCVH0aBW4ySXYxNsSCQSVI0qnN1dRCWgfSJG+fvT2tGBXmsgp6KCxoZWjBYLpbmlxAYGUtrY2PXMZA4OJHUTiVUtNS1Ut7ZyKTuXnEdlPGluJtLfn+4BAfi6ueHr5kaIlxdnd56lQ9NJ9p18JBIJD/NKOPrjPkwWKyqt1o5bs2KxWWmpbSXUx4dHdfXkVVWhblZT3NDAo3ulxCRFIZVJKW1spKm9nab2di4XFnK3qJS2JjUWq5UnTU08bmpCJpXSUN6AVi2qT+vb2qhva6OpvZ1mjQaZVIqPq2sXHf2fGoIg/P/+lZSSIqi0WsFoNgun7t0TtAa9UNbYKJQ1NgoPqqsFg8kklDU2ClabTTh486ZQWFsrVDQ3C9sOnxSUHR1Cfk21sPPMX8LOM38JCxZ/LKi0WqGwtlY4fPu2MGLEPGH1h98Iv1zMEFat2SLk11QLt8rKhE6DQeg0GLr+rtVmE0obGoROg0E4de+ekFdVJRTW1grlzU2CxWoVcsrLhZzycsFgMglZpaWCzmgUdEajsHTFZ0KDWi3UqVSCIAhCi0YjXC4oEAwmk2CxWrv+7YPqakFr0AudBoOQW1Eh/HDyvHDuwQOh02AQTBaLUFBTIxjNZsFoNgsGk0k4kJ0tFNTUCMnJwwWd0ShklZYKRrNZyK+pFprb2wWL1SoYTCbBYDIJv93IFBrUamHt1t2CxWoVpkxZJjyorhYKamqEnPJyobq1VXBwkHbd08O3bwt5VVVCfk21YLXZBI1eL1htNqFFoxEEQRCuPXokXC8uFj7askv4aMsuwWSxCIIgCHUqlaDSagWd0SiYLBbBZLEIGr1eKKipEWqUSuHkvVzh5L1coaCmpuvzWG02oV2nE15c+olQp1IJuRUVwr7rN4TC2lqhsqVFqGxpEUwWi1BcXy9oDXpB2dEhqLRa4URurmCxWoV12/YKdSqVYLJYuu6n0WwWDt68KRhMJiG/plpQabXCsZwcob6tTcgoLBTaOjuF6tbWf3c/rz16JLTrdMLAgVO77ptGrxfadTohu6xM0Oj1giAIgtagF7QGvWAwmYSFL30iWG02wWK1Cr9czBB0RqNQUFMjKDs6hMLaWiG7rEwYNWq+MGrUfOFqUZFgNJuFzXv+EK4XFws6o1EorK0VVFqt8O0fJ4RVH3wtzJr1hlDR3CxUNDcLgiAIKq1W+D07W1B2dAgmi0XIKi0Vbj9+LOy6cFnQ6PVCjVIprN++T1i/fZ/QaTAINUqlYLXZhNuPHws1SqXQotEIOeXlgtYgPr8H1dXCbzcyhd9uZApljY2C0WwWlB0dgiAIgsliEYCcf2Y+/rc4PkTG9RAWrfwAs9HMxKeGsXDKc7y++VMAhvVNpkWjwcHBgYr6Rkb2SiK7rIyRiQlYrDZmTHie9T//o6uNuF/3KHIrKjGYzSi1Wmb1748gCPRMGMhf2efJLCjCx9uDcF8xCTgiZQCX7t3E08UFNycnDpzJYPrYwVy6m8f/Yu+tg6PM13bdq9OddNzd3SEkBALBgrsMDoPLwAwwMMPgMsDAMLgPzuDu7sECBEIgRlyJErdO0pI+f7yZ/tbZ5+z9rb3Pd6q+VbV+VVRRnVTq7e5Xnt/z3Pd1NzXIeXL6CeFDwxk1MAKAmsZGxvcfz4X75xg/cCJPXt0kp7SUivp6lCoV+1cdYceRVUwbNY/+EwXyUkBbH+GpjoiDq48S2qcdgwd3w8xAn7cZmZR+KaW2spa6FpXlmoXTeJiYgLuVNX4ODtjbuTN7+a/07hdOB09Pzjx/iaO1JdUtjTcfOzsq6+tJzsrDwMSA4aGh3IuPR61W42dvj1RbgqpZjZetoH//Ze1eXAJccHS1o6SwjF1L1nLkxgmkEgnv4lOQ6EjwdnXUNHuzS0u5susaPSb04OOTj7SJCKJzcCCV9fUYSKV8TM+ivrqeyQMFsKqOWExUWhoeNja8SklFX1fKwDZteJuRgYm+PimFhXTy9tY03apk9fQJbEVOWRkXWkCv0ZmZhLi6kFJYxP0HUXi28dTg1a4+f4ODozUdPD2Z9u1yth1awZvkVNr7eHH0yDXmzx1HtUyG7j80ARVKJdUyGfXyJnoFBLLv/E0G9+6EvZkZkZ8/0zPAHx2JNnKloCD8G45qb2ZGSlERSfn5tHJy5Fl0HMXZxYwb249PObnYm5u1vAcZ1sbGqJqbUahUyORN1Moa6erny93X7xneLZwGuVzD9TA1MODgtbv06BhCUVUV4V5e5FdUYCCVoi+Vkl9RzoljN7FxEZynYwf3JLmwEENdXVbOWsuaP1dSUl1NTkoeQ/t0Rk9Hh8Mnb+AR7CG856p6uoW2RqylxY5NJxg3aygR/v7/OtuHf69/r3+v/z7rv0WlEBgUpI798IEtRy9g72GPhbmJBqm+bfUhZi2fhKWREdHJaTjaWvH7vI1cuXVQgInKZBw7co3vZo0E0IxplCoVhVWVVNQJmoPIKy/o+k1n+rduzau0NOzNBInt45cf6NetPQlfvnDv+APGzRmOlZERAY6OfPvtMv48vIrX6encOyVEuhlbGFP5tQo9Qz3a9W+Hh50tgY6OrFjzJ7butlw+cJxF+9ZSV1lLsK8nAMXV1diamKCjrY2RrhRnC0veZmTgZ2/PLwu3MX3hODp4erK6JcFp4oSBKJtVuFlZcT8+gZTYNBZNH8OPv2xlyx8LyC0rJb24RJMTceSPM/Sa1IsgTzcObDvL/KWT+HX+To6cXMeMSasxMDVgyKxBRN8XgKw71i0gpSCfw4ev0GtYV/YsP0ivCb2ZOawf837aTHpiIjZ2zsxcOUnzHblaWpJUUIBUIiHI2Rl9qRQdsRg1auLyvmBvasq6lYKtfPX6H9DV0RF6CC4uVDfIiMnKpldgIEqVih/mbmT/vuUaXb8w7RAh0RKTX1mJnrY2ZgaC2KmsthYLQ8MWVaEg/DHW1UWqrS1gzvR0aZArsDczQ19Hh4cJCfRt3ZriqirNCNO8ZcStJYJPuXnYm5libWxMk0LZwkQUo6cjpbol+g+EkWRUWhqdvL2Jzsykvbs7tY2NyJqaMNLTQyqRkFtWhrwFpONs+R/fqUQsxsrIiMLKSiLjE/FycsDLxob0khICHQVVadbXr/ja2aHVcq5ml5bia29PVX09OWVleNnaUt/UpCEpmRsIfaDs0lJ2/nGCA7uXAZBSWIhELObanef8PGUkOi0Vs6q5mdrGRoz19DQ9hlB393+d6YODi7vawcaPnsOHsPrnqcz7aTOhLXFZjk42xL9P5smFe/QY1RcdXSlerdy5cfA2tRU1iMRatO/fnjnjhgDwMDGRuyceEP38EcXF2Ww4cQR1czP9O4SycsluHt45zbSfl6JnJFxQlcWVbFg+i7txcRjq6vL4uqBcPL1/Bz+s+pX3999j52ZH+4HCiNTC3AR/BweUKhV7dpxBR1cH/45+2NhaUllVg7WFGZnpeXx+m0z1V2Hm7RHsyZhRfVCoVGz99TAFudkMmDyM9Nh0vpk+kC9firmy5yLtencEYPjIXswePYfv1v1EdVk1ae/TSHj/jpPXDiCVSNi24xQOng6UFQqGn079wrAwNKSNizNPkj6Tl12InqEez84/Y9LCMaiam7EzNeXlewEM269zO7xs7Vi1/Qio1bgHeaBSqoi6+ooflkykqLoKXW0d/pgvGNG6DuvFxyexiMUSftv9Mzs3nSC0T1vKCstp1c6XXgGBXH4bjaOloGtoVChwt7bmVfxnEl7E890PAtC1tKaG+MR0RvbuirWxsWamfunqYxZ+N5aDFwUD1k8ThmvGgBdevyEnIYeveV/p1uIN+ZJRQJcOQaQUFFJRVE6Avwe2pqao1WruP4umW3gwH5LSGdhJCLw9d/MJrn7OSMRiWjk58bmggJe339BlUEc6eHqwddcZfls6k+zSUo2/Iik6mYUzR/M6PYOs7AK83B3JKSzBzcGWhMQMfP3ccLe2xs1KAL8sXrePfiO70yCX09nbm3lzNrJo3XfotMB9lM3NWBkZabZMYi0Ri2b+xtUbe5n1/XpGzR1GhJ8/UomEjzk5VMpk5OYWad7D54ICLh28ycCp/XC1tEQml/Po/mtmTRrGnbcxTO3Tg6kz17Bm4xwAkgsKSfqUToeOrdm18jARYyOYN3Lwv85NITgkRH3m1i1On77D9KnDaJTLcWipFHYdvYSLvwufIj9hYGxAaI9g/pizhnELZjCoh5Dg1D+0I/klAobq6LX7TB7Sm637zmLtbE12QjYTZwxFXyplyeyNdBrame4RoZqnVLNaTWcfH05HvuDC1jMs2f4zjubmPHoby8k/9nPw4j5eRH/SuDYzYzPoPaUPV7ZdZuiPw3h35x1DJvZl55K9KBRyjIzMmL12KjlfipDqCnva7MQclv8wgZLqauLz8jA1MMDC0BBXS0umTFnN3F+F4NTLpwSB1OQZw4iOT8HCxozGJjmVxRV0aR/EmRO3GT6+LwqlkrScfPSNhFyJhroGnp55wtot85k2ah7L967kz5WHWbJ1HrevRvL6XiT7zmwho0QQL725F43UQJf1C2dy4OZd4l8kIJaIWbPiO0YN/Z7+U4YiFov5kiqMDH1CvenZPpg9u84we84YJGIxTubmVNTXUy2TYW5ogLWxCVtPXALAzsOekWHtic7MpKOXFwUVFQKwpgUHH5+Xh5uVlWbcVt/URF1jI3o6OlgbG1NeV4eORIxES8yrtDQCHB2xNTFm457TACybN4GyWoFx6WBmxt2YWNp4uuNsYYGRri41DQ2kFRXhZCHcpAorK7E1NcXcwEDDl3yW/JkwD0FKffLuE3p1DKG4qooOnkJ1JxKJNPLjwqoq7E1NSS0oxMfBHpFIRLCrK83NzVS2IOukEgmb95ymx6BOSCWSluyQbK63jDPL6uqwNDTU9BT+zjURi0SU1tZiaWSItlhCYn4+7d3dSSkqQtXcrIm6z/4qZG82KZWYGxi0+B/qsDQyIrmwkISUTDq1CdB8pmYGBlgaGSFXKqhtbOLw6ZusnjvpX+emYGntoP52xi9cOLab71eswdzWjGfnBYCmg5cDpw5u5nHsG4Z26Uufgd8y9eexZBUUoS3V4eOTj5hYmhDWVVC9+dnbU1BRQU5ZGVWl1YQGevMpLQs3R1usTYy5cu0pkVfuk5kpjGhWH9qNna0lc4ZNYOK8nziydQPrjhwgJymXseP7c/nyI7auWED//jMBKC39wsRlM/nw4APJHz9y+8EJIj9/5n3kRz5GxtB9bC9eX3tNdnYCmZkC/qyy6is/rdhJx8EdOPnbcUJ7C1WHZ4gnteW1rJoxg5k/r+LMAcF6vP/Wec1c29HcnN1bTuHXwQ+VSkVEpxC+HzOX5OQ3mtJyyabddO/Vnox84ck7tEN7br6Poau/H0dP3qS6tJqdG3/i8G1hC+Tu5sDLh9E4ejsya3B/ft11jFO7dvHrsV0kPE/Aykm4YHt0E86ffu27MnLCHH5d8z1bdpwkPzUf11auhPQI5srOq+w6sJyTVx8gbxBK78XfjWX3mesc+O135m9cS+S5SPYdW83mbSdw8nViWJ8uRMbG4+wgCMKycwopSM8X4CkqNZ4hnsgb5Ywf3JOY7GweXYjEO9QLH1+Bh5gQl0ZJdgmPr11n0IQxOPk58/LyS3pP7k33wAC2bjtB/JsPms9HpVIwdfX3aEu1CXZzZdfmk2Qnp2JmYUP7Ae15ev4Rx85tRiqRsGHrXwAYmRvx3cShGOvp4uroxYLfNlJZUkXU/ce4uvvRbkA77N3tiGhpfu49fImU6BQmLRvPmS0X6Dy8E2e2HcbR0ZsdB5dTUV+Pi6UlT5KEPJOX118h1pbg3tqduqo6Yh7EED40nPTYdKwcragsriQh+gM9RvYDwMzWjIL0Ak7u2Up2bjIrNx5CpVIxckJ/Zo+YyaK9v5HxMQNDEwFB9yU1H0dvR6rLqmmoayDu1XuePDn1r3NT8A4IUO+7cIE/Vx1l7JIxRF1/TcehQildV1WHlpYWzg42RN55zdARPbh68RGTJw/B3syM3zYfpUnWxNKlgnDGRF8fpUrFxxxhAtHNz5cGuYJh/afw64G1qNVq8gpK8HAW0qk3L9zJ3hPreZOaRnlBOfJGOYumjOJpUhI3zz3Cs40HeclfNDz9oqwiDqxfz4zFS3l29SF/nt6MrrY2G9cfQaIj4dzR7Vx++ZgNP/5Bj1GC/TugnR8GUimGurpcPn2PgaN6oGxupmdAAMs2HMDUxpSOnduw6eftAGw6tJqahgbcrKwwNzAgNLg7B6/9xbv3icwdM4QTD56iVKqQSASvhKGZEXWVtZhYmhB99x2/rfiOLQfPM2p4L17Hf6bqazWzxw4mLKQHAJ6ebRk+fwQxD2KwdLRk7fyprNt7ksXfjWVAv2mEdu+Ig7cjrQKFp2ZcXBpaYi30jfV5c/MNY74fRmdvb42V+GVyCl52wh4YwNvOjpqGBqpkMnzt7Lj9IZaRHcIoqq7GpIVobGtiolGJVspk2LV4BSKThbwHtVqteSo+SEggws+Pp58/A0LfyNvWlpLqas124UtFBWEeHnzKzaVXYCApRUU0tByPnlSKrYkxWiJBqWkglfLXvSd8060DZgaGJOXnE+DoSH5LriYIXA6VWo1UIuHWx48aeG5yXAZibTEzRwzgS3m5Zg9vqKvLwZPXWTxrHGeevmBk13BO332CtlSH0EBvWjs7o1SpNIYrhVJJYn4+Jvr6OJqboWpWk1deRqNcgamBAU7m5mw5fAEnX6EH4e3siJ+9PU+Sknh+5SWz541BrRb8Gib6AiVLLBJR0iLNNtSV0q91EM3NzZx7EUVdZS3zRg35p24K/1XW6f9PSy5XkF9cSmLiS97ecWX2vDHcfSJEfj08fYeioixO3DrB/j9WY2Cij7GFMR+zcyivq6PviAiObTyj0anXNDSgp6ONtkSCWEuLFymp6EgkHDi/E7lSRWxKBomvEjnxXMiYPHJxNwqlkp+Gj8PDIxgjIzPMbM1QNzfTrl877M3N2P/rJl7cEUZPyclv2XnlIpvnLWfE9OlYGxsTk52NolHOjQuHmPHTKh5ce467ny8Pzt4EYN7kEVyIfImrsz22rrZU1NdTVlxBbWMjRVlFRD9+gaOPI7m5wlMko6SEngEBvM/KwsvGhrm/rwQEGGdEpxBeXYviwe2TWFgIN7aIAcNwC3RDSyKmtqIWbbEEkUiEp40NS/f/TlZmHAsnj+TIDcHFGPMxGZVShVgi5tSuXazbe5LVcycRHhFCc3MzjbImkqKSGNJduDFP+GUo2y6fJMLfH4m2hPev40lNycbf34Njm89y/Ng6HiUksH/VEQD2n1hHaU0NM4dOYs1fu8iOz4YOYdx9/hZXT0eq6+o1Zi6AgspKDt57h7yxiU5Dwjn/+AVaWlpMG9CLx4mJVFTWcO1NtCb8RstdxNt3CZzedoA95/dy/epTirOL8V42hXBvb1b9cUgDvAH4WvyFXSc3UVRVhZetLUuW7ULfSI/02HR82nlz/+gDDh5fQ7WsgWUHDgDg6OPIlMG9ySsvZ9GYGWw8e5AXV15SmFFI93HduR8Xh7OFhWab+ygunrunL9GuSxC3D9zCwMSAK/vOU15eQNS7+2R9/YqTubnG6Hd8zyW6jOyCWtXMw7JqXl2Nou+0vjz86yHuQe40NQjBMH/DZ98WV/K48g03j5/j2aurnLwfiURbzKiIzowf+RO+oQH0Gt5Vo1otr6jhdOQLygvK8G7lwdb5q/7p6/G/RaXg7uurjug+nrlLJmGkq8ulm09pFy7Qltu6unLi5iPykvMYNr4PxdXVDA4OZvSIBXiH+KFnqMcvc8Zj3NKJL6yspI13K8LDh+MT6svKRdPILCnBy9aW5IICls9aS2jPcJRyoWvs39GfCT26cvjGfYJb+5BbWsaG7xZjbe3CoXPb2Lj2EBFjIwhrSbVWqJR429qRW1ZGXnk5cqWSIGdniqurMZBK8bGz42lSEoa6urx5L8ifq0qr+HZ0PywMDdl5+CJRtyMJ6tyOx9eu8vHTUx4nJrJpwWZ2n9gIwF9Hr9Mka2L5sulU1NVRUV/P2jkbuHRjP3c/fuLp2ad0GNxBU65/2687JdXVeNnaolarOfn0OWO6hNOpwwCevrpJeV0dpvr6msRsfwcH5szbyLbtv3Ar5gNjwjvyKi2NXoGtKK+twbSl033ikRAzJxKJyE/LR94gZ90v07kXF8eSCfM4dO0YlfX1hHt5kV5cTEaxMB0w0tfDx86OC1cekRSVxOot8/CytWX+oq2E9A6htrIOTz9XurQkYacXF/PuUzLVZdW4+LugaFIQ4u2BtliMuaEhixZspbzkK1N/FapBH3t7ohNTyE3KxdTalOkj+lNSXc25iw/IissiuFcwxVnFBHUPAiAnKYcmWRPDvumBq6Ulk8ctxsHDmdrKWqycrGjTvQ0Tu3flZmwsB1YI2RuerX3Zs/kXQUn4Op6Ondvw9N4bfMN8yfiYgVeIF0NDQ9CRCD2CX1btJnxIR00M4Y6l+5m8Sjif23t48C4zkwg/P+YsEJq3lcUVuAS6Ej6wA6snL8DDM4TB3w/B0sqM8rIq3JzsiI9LY2RfIdvy8InrPL/xiAlLpqElFhP/PJ6Pr95w79FJVm88jE+oN7cO3mD7YcHufu3eC7YtXczSHTsoyy/DtZUr3w3o86+zfQgOCVG/evOa6VPXMHD2QMJ9fdBpKbOOnBKetkOGRrBt9WGmLB7HtWN3iBgTwbC2bUkvKWbS4Gm8fS806QorK7E3M9PARbJLS/GyteHM7af4+LthaWRE5tev1JYLlYWbqwMRfn7M/XkzH6Ke88PGxYT6eqElgms3njFr4hB2H7qElliQdLy48QgnN0+SPr1l2oof6dExBCcLC9oHd6epSYa+vjFbz+4j/kMKeoaC+Cc02B8XCwv0dHR4mZpKR09PPhcU4Odgz8qV+2jVJZBvenbmhymCvyJiTHemfdMPLZEIVXMzR6/cY87YISz/bT+rlkznUmQU6bHp2LRE3/293+zRpwMHNpzg5PH1LP/jIGt+mc76nSd4dPk6797dYf8N4TP68PADsxeOZ+l3awjuGkbs87c0Nzdz5dZBLI1N+OPoOSQ6EvpFCL2PY0eusXzhFPLKy4mMiuXbQT2oqKvHw8aG12lpyFUqegYEsOQ3YSTZb0QEXX192XXmGjNGDuDux08MCgkmuaCAUHd3jt59hJZEzKReEYBw04n8/BldbW3aubuT9fUrZgYGVNbX42plSW5ZOZZGhvy2QahEtv++gNyyMh6++cDgLmE8SxK2FUPbhVLf1ER5XS1J+QWa80tW18DknhE0tlCTniUnk/ulCG83JxxbsiR7BwZyKTKKQB+hb+FmZYWNiQlJBQVcufKY0G5BPLsRha6+rvB9hYai3RLvBsKWJqxdX168ucOq9QdYt2IW6zYfJer+Yx48PSeMPsVilM1ChXQz9iPDQ0O5GxeHd4sRT6FQUphRSHA7f5zMzXkRm4CVrdAsTYxOpm+/cF5EfcTewx47M1MsjIxwtrDg0rNXFGUV88Pkb3gYL2Seulpb4WRujkgkwsLQkAnjlnH16vZ/ne1DZV09OaVlaIm1ePjXQ1qtcdYEuh7btplV+3dSXleHgYkBuV+KqCiupG/r1lz/8IFwLy+mLPsPA1Xf1q0RtYSRRqWl0cbFhaMX7uLeyg1DXV0sjIxIyMhBv6Uho2pu5uzzl7gGuuLg5UBGbAaDwtrSpFDyJfWLxnJ74/gpAPwCwggfFo6Nqw1SA13UajXnI1+y4tAWYh/FUltRS9Sj94i0REj1hFLOQCrl6pNXVJfXMGJwd0wNDKhtbKRJoeRN5AN8w3yxMTHByFRwGc4bO5SPOTlkFJegaJIj0hIhEYt5df8BX2Z+g429JdmJ2Rqm47ali1n4x2Y+xadSWlzEl/JyUt+lINbS4vS+nQwYPpEXKYJSESA9MZGi6ir6TxmKSqEitHtHGmVNmBoY8MfRcyydPg5DQ1P8XwmVgkRHQmpxMTmlpXTpEMSZ20+ZNWIAxx8+BWBa355ci4mhskS4QPwdHHiTno5IS4RcqcDXwZ5zj18wbUAvHsQLY9FJvSK48eEDAKVF5fRo34bY7BxNL0GlVguU5JpafO3tqZbJmDVPGG0eunGfKQN70qxqxsbEhNhHsfQc3hU9HR1EIhF5ZWX42NkRkyxAXOSNchrlcu7Fx9Pdzw9DXV36dwhFq8Xb4WljQ1JBAeN6ddWMDCvq67gb/QF3JzvsPezp26o1rRydKK+rw8/enpjsbHJLy7A0Fr6zRoWC7Wf20CiXM23WCEpraxk6tjcRQzppyNUPEhLoHSigRTysrfmQk8OQkBCUKhUVLWnSCS5fuHP/FZLObejZPpjKOkHl2qeFv5jqWoiViTHd/IQel1qtxsfdmZqKWiyNjBjTUaBlibW0kCuVpBcXU1Zby6DvB3H16vZ/6nr8b6FoFIkQMOlmhijlShzMzJDqS5HqS2lsrEOpVNGsVqNSKFE3q5HqS1GqVDTKGjE1MEAsEaPXYqpqbm5GWyxGJBIh1dZGoVLRrFLhbGmJvo4OWiLQ0dOhsb6RxvpGPKyt0Zbq0FDXQH1VHRIdCbWNQoPK2MIYHYk2Eh2JBtfeUC/D1sEKlVKFo72Qd9gka8JQX49GWSPWztaIRGDtbI1YooVYoiWIbfSlSHV1MNEXsOo6LdmFMlk12joSIXHY2hQTa1O0RCL0pTrIWvBsLt5CoIesvpomhQKJlhaKJoXGvNPYWI9SoUSqJ6WxsR6RSIS5jVOqUagAACAASURBVDliLS3q6iqR1TYgEonwdnXE29URGztndLV1ELd8Tg7ejjTWN6JqbkaiI8HQ0JS6uioNvlzRpMBYVxcjXV1sTExQypUCTr2yjqqSKprVagFCkv+V0vyvlNfVolarqf5aRWW9TMCk60hQqlRU1cuorRJOdIVShUKpQlYjo1Imo6K4Al1tbY0suUHeREl1NVoiETUNDZTX1lFeW4dIS0RNg4DFl4jFfM0tQY0apUqFUqUiv7JSQO/LBcR5ZUklatTIGhpRNgtWaB2JmNrGRuqbmqiSySirraWirk5jQPpaXYOeoR4lNTU01DWgam6mUaFAWyJBIhZTWV+Pvq4UbbEYbbGYoqoqmpRKilqIXtUto8pmtZqahgYkYjFGuro0q5tpVjdTJZPRpFDQrFZT39TE15oajeuxrrKOrC9FGEil6GgLxjm5UkVtYxOKJgUmenoan4JMLqe+qYnGlmP8+59CpaJJqdQkWTXUNfzz1+N/h+2Ds6eX+vsl62jT3p8e/v5cjYnRxLrZmJhgIJVycMc55i+exKOXMchqZTh42nN6419MXzebzPgspo4WKLzrfzuEnYc9hRkF3L9+ln7DxmNoZsTvK2bjYOfOt7N+xjPYk86hrQChqTcgKAhFi6qsqKoKfR0d7lyN5GvOV/pN66vpV4BQVjqYm5PX0lOY3n8EFyLvoFAqcba0JK+sjMzcAmxsLTXNtIMr9rPj2DoczM15l5lJfnEpRZmFaEt16BnRDlMDA95nZqLf0iTqFRCAh6s/x+5fZevPW5m0YjoVxZUM79OF1KIiahoa8LO3p7zlKfK1pob6OhnDwzvwNiOD7Yt2E9ChNRWF5UxfOA6RSMT92y8ZOqw7IPAO/pi/iTZd2jN+8iDNpOPxhzjCW/mRV16OgVRKV1/haZT4JY9n7+J4dPIhR06t53pUNL1D25BWXEyomxsm+vq8SU/XpCU1KZUoVSrsTE35kJNNN18/9py8yuIZY9l74SY/jh1KTUMDOi3Tk6efP+NrJ1QDaUXF9GoVQH1TEy6WVjxOTMTb1pa88nL87IXGanJhIR08PamS1aNqVmOqr49ELOZzQQEKpRILI0OUqmbcrQXfQGpREXcevWb4gG7kl5fjbGmBXKnC2cKCwqoq6hob8Xdw0PxtgLyyMuoaG+nTqhUyueD2tDc1RVsiobSmhndZWXT18dFUFtmlpQxs04bMryV4WNtw6mEkMwb2oaS6Gj0dHXYcEtS6dg6C2Km7vz87j15i1sQhZH4txcvGBh2JBJlcLmSH+vlptBsAWiIRGSUlOFlY0KRQYNJCDHOzsuJrTQ1NCgWpRUUacI2Zvj6xubkC7OZ9POP7RmBuaPhv78O/17/Xv9f//vpvUSlYWjuoJ85azJUTBxk0egrt+7fn/tH7AOga6BL96gEHr/3FwHbhLN++j/bhrcktLKGmrAalQolKqcK2BcE+sF1bkvLzKa6upqaihq7BrcgsKcHRwgJzAwOOn7/L69svKS4SRkNrjm5CT0eHaf1HMWz8DK6dOcivh/ZSkFHIN8N68CL6E2tmzyY8fDgAxcVZLP1zLfeOP6CmvIZTpzZw+9MnspJyuLz/BBMXzybvcx4xka9JThbGqkVFmSxZ/yehvdty7/gDAjoFUJRZhGugKwXpBVz96yiTFy7g5PZdABy8dhyTlhBTb1tbjpy4gWugK9nx2UyaOIgJQ6aTkvIWXV2hLzJ57hJ6DO1M0idhDz3xmz4CrdjZmS2bj9NQ18DBvSs0e3gTfX1eR37Azs2WFVNnsGL3Hrb8soh1xw6Q/DYZiY4ERZOCaTMEl2egkzMLVu5g0c+TuB/zkQfHHtA6ojUmFsac2nKQV69vsGbbMc12Z9miKZy9E8nWRYuZNO8X9I30+WHSMI5cuktdZS1DhnVHJpeTliOoUMsLyynKKiIu6j1BndoRFBFEwosEtqyZy5OkJGLeJCCrkeEa6ApAYYYg4z64fiNLdv9B3LN4MuJTWLFrEW5WViycswkzGzNKvwhP8ejoW6w9up+veV+ZMLwPS3/ahqy2AZcAF/w7+HHzwHU2HxTGvrtaIu8VcgXzl01BqVIxrOsA9lw/za2jd8lISqJD327oSHVw8HKgYxtBvPTkZQxPzz1i1m8zOb7+DN7tvHl67RaePq3ZtW8ZCV++YGNiogkqvnnqAWJtMe37tyfhZQKp71IZNn8YT049oVnVjFgipq6yFrfWAnnJ1t2W3MRcXj64w8ePT9h68jKKJgVD+ndh0Xe/8c28kSiaFLi7C7qG9NQclAoVyW+TMbM25fqp46Slvf/XaTQ21Ndx5uB2Js9dzMSpQxgY3gcfH0HzvfXob1y57ERFfT1Lt+zGzMaMEFdXJFpa3HiZyO3zp3jy5j73o//jhH/2+B1WTlY8v/CcsT26klpURFRsIkH+nhRmFRLYMYhAhHHVhu9XM3/7ctYe28fwTh1I+/QZdbOa1OhUFIO6cnTDTnr2nsCMFRMBwZiSVlTM9q0L6dHlG9JLiqmqqGHK8L706BZKeV0diiYF8gcN+Pi0B+BaTAw6elLkCiVJse8ozi1g1M9jSf+QzrxZoynJLubd3WhGzfwOgHBvb1ZuPEjH/mHI5HJe3HzIu4cGXL7xJ3o6OnTo0ZO+Y4ZTmCmUuuMmDaS1szOmBgb42dtr6EBnrz3i50WTMdHTQ1ss5squawCs2zaffU9imXBoBR8nzEFLrMW2yydJjUlj+cIppBYXY6yry7N3cQAsWLmDnesXENI7hPKCchLjowgbFEbcs3iCwsJ5nZZG5PW7nLkhaD9M9PTJS85j5pIV3Dx+lu83LKK4uhpzO3Ne34hi9Og++Ds48OS+cNNMfpvMmIWjKMsv49a54yxeGEnmp0yqZTJKKqvIT8sn6f0HFs85DsCwzTMZMnMkU37+mZv7rzN9zXTcg9wRa2mxddsJHLwccPZzJvybcOF4zhqTFZdFXnIe5X3Cads3lNykXLxCvPD1dCGptTelNTW0cnLCM1gQbN3+6wqNcjl6Uimzlq1ASyRizPfDSEsL5kvqF/JT82mSNTG6R2dAmOhsOrCC1wnJLNn8Az9+u4DZGxbSOySI2+8+4GZvQ11jo8bi33V4Z34cNp4F89/y7MIzenzbg24B/gSscCKloJCoq68wtTahdYQwmm/n6cH2d6mM/mEG205fwdHLgfTYDC5cfEDP8X0Y36MLUyevJmjdDACUChUqhTB237HuZw7fv8+Unt3/qevxP60URCLRMWAQ8PVvKrNIJDJHiIxzReAwjv4720EkEi0DpgMq4Ee1Wv3gPzuIVkFB6oXbd+Hn4oiHjQ2nbz9hwqCegLAfbOPiTGv/jtx6cRt7MzMW/rINGxcbHLwcaG7Zt/8wQqAzbzxwlqSoJHKzU3D18GP0ghFE+PlRLZOxasluJDoSpswfTRsXFwD2nb7OrHGDMTUwEFDfYjHZpaXcOP+Il3fvM2X5HLqGtkJbLHyZarUaZbMKWZOcvPJyzm26QM+JPYloFyREpOd8YXTnjjxMTMSpRdgyceC3JCS+4m7cJ8rKq6mvrsfU2hRtbQmZ8Vn8NGUkx+89IchfOCF1xGJ+nLCQ4bO/pVN4G169+ohYW4yRmSGp79PoNiScHv7+NMgF/0Z+RQW7Nhxn2/aFbNj6F/pG+tRV1fHp1TtW7V2uCT6581aY0FhZm3Pq97M4+TqydPE0br95z6CO7dhz8CKjxvQhubAQI11djqw9DsCff63hSUIik7p1Q65UkFZURGJ+PvZmZoR7edGokNOkUGp0/WeeCDdjfR0d3mZk0N7DA6VKpUkrMjc0pKahQcNr+FxQgL6ODvZmplTU1fMuPYNxnTuRXFiIREuL5MJCrIyMNK5HTxsbXCwt0ZFIiEpLQ1siob27OztOXcGntQedvLw11Ki/16VnrxjRNRwDqZScsjLSiovwd3DkRXwSvYJbo2puFhp2LZ4YQ11dvGxtufD2LSPbt0euVJBeXIKXrQ1RaekEu7hgoq+vwZ9ll5YKhO+mJmxMTLjz6RODgoNplMtRo+Z+fAIDgoLYsFuoREaP6UteWRlt3dx4kZJCJ29vmpRKjUNURyL4IP7uo8Tn5VHf1EQ3Pz9ufYzFzsSU9JISRoeF0aRQcO7ZK7TEWkzoLugakgsLefEujpG9uvA8OZlQd3c8bWz+a3QKIpGoK1AHnPyHm8JmoEKtVv8hEomWAmZqtXqJSCTyRwiFaQ/YA48Bb7Varfqf/HkAnNw91ZvPnCL2USydBnYgOTZNAxwZMbo3168+Yd3P0zly/zF1lXV8O7AHKrUaM319dp2+RpcuIZTVCroDU30DOnl7o1SpyCgpwc7UlM8FBexZc4z9h1ehVKk4/+AZf7/tsvxSGuub8Az2oE9YCIeOXWP94pl8aWm23Xn/gcxPmXTvJ6j7qmQyTqw/xZRVkzi/7RInT65n67GL6BnqEdjai6inMWhpaWkELgALZ4xm8ao9SPWlmFiaMGhQV2obGujs40NpbS1zZ/zGss1zOHXkOiBAQycO7MWRy3f5Ycxgfl6yg9k/jUNbLOZtUirautqUF5TTWC+AW4cPihBwc2VlBDk706hQkFRQQA9/f76UlyOTy7EzNWXFr/sAGDyxLy6WlmiJRBw+dIWqr1V0GdGFid27svv8Dbp0CMLGxETT5Lr59r2GxairI2XtnuMMGdyND6kZuNhZs3nhDgZ/9w1TWyArtz5+5PPbZPw7+NHWzY3R/SZw9s4J3qWm42ZvS4CDA2vWHyK0v3B+Vn+tIjTYHy8bGw6evYmOVIfw8CBuXHiMT3sf9I31ifDzo7xOUDTevh+FS4ALFoaGvI+KY8HUkVyNfk9ZfhldOgQhEol4+TaOnMRsAKbNHolcoaCwqgorY2OsjIx4mfAZiY4EHR1tpNraVFRUY2ZmTLsWUKqqJay4uKqKyKhYGusb6du7I1cuPkJHT4fuvcNITs9lQp9ugBADWFBShkgkoiiriIkj+nL0zC3sPe3J+JDO/DnjMDMw0CgaTfT1+VxQQNXXKmYM6sPHnBxevIrFxs2WLn6+RGdmkvAqkaAuQkPc2tiYUHc3Vm88TEivEJoamghwc+bA5jME9wpmcPcOFFZWceaQcA7Zutry3cShFFRU8DomgY5tA2nn4fFf02hUq9UvgIr/4eWhwImW/58Ahv3D6+fVanWTWq3OBjIQbhD/y1VaWMT6GYsoLyijpLCMjI8Z3Dt/iXvnL3Hr1nO+5pUSk5XFu7vvyE/Lp6llXPXTsh3kJedhpq9P3JvPxL35jJ+9Pc+Tk3mbkcHWdUeoaWjg8YM3LNowi5SiIk7efERxdglJUUkkRSWhJREjEosoyi6mSibj/vlL3I+L4+jJG5TX1fEpMo6Yx++4ee4RN889oiCniA17F+FoZoZYokVeeTl5n/MYN7AHVfX1jB3Zh/QP6VSVVvL44m0eX7xNRX095QXlNKuaqfpaxfVrT6mUydh05DxRaWk0NtRz/+FrlAoVSoWKeaOGcPL2Y6q+VvH082f0jPQ4e/IOyYWF9GobRG5iLjEPYoi89JDISw85c+4uRrpCzkR6cTH6UqnAYExP5+rDl5TW1KCrrU2biCDaRAQR5OzMzk0nkIjF5KfmM+b7YRRkFHAvLo5vB/Xg5ds4zt96yvWoaK5HRfPg2AOOb9lFWlERa/ccZ9WciRRXVbF3yR/8Pn8Tszd8z5HftnMzNpabsbG0dXMj7X0aD08+Yu7kFQyfOZnY7Bx8nR1ZPmMlNQ0NrFs9m3uH7nHv0D12Ll1NTmkpE0cv5OKfR2gfFsjNy0/oO7wb5YXlKBrlLJy3GQtDIywMjTiwfj2KRjlXjtxG11CP9TtOUJJdzMi+XUnIymX/1jOoVCpMrEwxsTJl+fe/8y4+hS3zN2JtbMyNR69QKpSo1Wp87e25feweRVlFeNnacPHeMy7ee8aUUfN5npxMfE4uOYk5dO3WFolYTECnAHzb+bB18T5eXX2FXKlCrlRxeuclwvy8KcktoXfPMKaPW4RHGw86tvLFu50PVTIZb9LT8bK1xcvWluzSUpaMmc7kfj3YcfIK0bFJ/DB2CK421py58oBjvx7Gxd8ZGxMTbExMCHZ1ZefxK6ib1QQ6OxEe4Ct4RjzsqK2oQVdbh+j3icyYO5oZc0fToVswSfn57N5wnH2rNvApLes/uww16/+0p2DzN7ZdrVYXiUQi65bXHYC3//B7+S2v/S+XnYsjo2bNoFXHAJzMzdGSaNFtlFAG+bs4sXXlIVILiwgfGs6XlC/oamuzZesJeo7pzoenHzHR12fxd0K0RKNCwbo5G4gY3odRPwzDSFeXzj1C8XdwQEsk4sLx26ib1aR8EvbLAyf3pYOnB8uW7iYnvIzxP81i0/w/CGgXgrWxMXWVdXT5JoKAtoIkt6paENNcio5m4KxBWBga8ueOJTxJSsLW1BQPGxuCewXj38qTyNtRALxMTWXiojF08fVl4eLtZMVnoiPVISsuk4VTR5HUryPPrzxm3iYBz/3L2r10HRzO9yMGUi2TYTHZiL92X8Tbzo67Ue9JfJWIi7+LRtE46dtB1DY20btVK9RqNSlFRYS4urBq1Z/M+WUChZXCPL9zsCCc0ZdKCe3TFidzc1xbudLZ25vUlGyWTJjHlUcXmTViAI0KBbUtCPmS3BLCBoWRmJ/PkMHdaN8lnr6tg6iW1XPxeRR9W7XC6eoRYhKFRCaVazNTl47nxJZzBEe0QyFX0L9NEMEBYaw/dYA7L99RklPM8eMCck8mX8na3w8xcPpgdA31uH3pKT2GdqZZrWbUoAiG9hxNxIAhGv7Cu/govpu0Gh1dKUlRSezbtZT78fEs+O53gnsGY2ptyultf9Kui7AFDe4eSm5iDuduHKSwspIz2w9iampNQsILPDzaMHjqGH6aMpKEL1+4sPsYAH3HfMOosDCyS0u5uuMKNy48pqmhCYmOhKS3cYxdNIHRnTuiaik51c0Cy2Fw387cffyasL7hfH79may4LH6aMZpXqan0CgxkYH9hz//lSwrzf/+N5b/tJyUmkezseD4+/ohHsAdOPk4MnjmMZ+ef4bJoHAAr1vxJzudMpFI9iqqqWDjuByoqinif9J6B3Ucgb1Tw7NoDVAqhKL/912ViYu7z87rttI5YTHXZP58l+U9NH/7HpCeRSFSlVqtN/+HnlWq12kwkEu0D3qjV6tMtrx8F7qrV6iv/L39TkyVpaGzadvioH+k7tS/G+nokx2Vo1HGuAS74ebmS8aUQeYMcf29X3KysyPr6lcd3o/AN86N/myC27D0DwLQpQymqqqJRoSDqaQyzJg0jOjOTVk5OaIngVXIqIe5uVLWIS7JLvvL8wnNmLBiDib4+V24+pV/fTnxMzaRza39is3Ooq6xF1CJz9nV3JtDREVVzM7fffaBXcGuG95vIm7e3iMnKItjVlUtvo6ksrqC5WfhsR/Xpyunrj3h++SmLt86nvK6OUDc3nsYloFYLfQpHWysULRQfUwMDkrPyuLr7ElsOrRLw8FV12NhYYGMsYN3TCotobBGkNNQ10r9re9KLi9HS0iLUzY3kwkKsjY2JSkymg78PXra2vMsUsPbBLi7sPHGFqaMH8CIlhR7+/sR/EW627T08OP7wKXWVdQS2FrY/qSnZxD2LZ9K8kWR8KWTvkj+IfHUdE30Dpn2/FidfJ17ffs6vewUa0KP7rwHwbuvNle1XmLVmCjUNDXwTGsqPS7bxy+LJNKthzACB7JSY8IJP2Rksn7sVBy8HZs0bzd1Hb6hrETnNmz6ShT9tpcsIoan364wfePnpNdHpGbR2cWLFnC2MXTqOISHB3Iz9SOmXUkb27qKJaLt18QlTpg1lSLdBPH//lJLqakz09TXRcLtOX+PFlef4hPoyekJ/AHasPkL/Gf049fsxVu5equEj+NrbYSjVZe2WoyS/S2bHEcFo9DwukX6hwew/dpXFc75lwpjF7PtrDVZGRmw5fIE5k7/hZWoqQ0JCAAE4M3PSKi5c2sqes9cZ1LsTzhYWyORyIj9/5t6x+2zYNJ+KFi1KTWMjb98lENYuEBM9PXzt7alpaGDNhkP8uOBb7ExMSCsuxrmFIWGoq0tFfT2nrj3kU+QnvpkzlFFhYf+/Th9K/k6CEolEdsDXltfzAad/+D1HhJzJ/8dSq9WHgEMARkYWajNbM97eekvpl1J6T+nN7b8uAyDVH0DiqyTWrprF2OE/4rJlPgqVEndra0ysTZE3yimorCD1XSoATd8qUKvVBDk7odVThFIlRIuZ6OlhbmhInlU5Z87c1cR3Tf5xFBYOFmz8ZQ9D5gzl/pkbhHcNwdLKDGcLC96lZ/Dw+EN82vsCkPA8AZ/l0zl39xl11XVYd+vMqB+mUF5Xy9WLj3CbOx5ZTT25n/NIjxWenBMG9CD69ls6DurEp/g0bJytuf3qHSqFEqVCxZOzDxm/fCLJbwQN/9I5E7AyMqJpZpPGx2FlbU7C+2RE7f14cvk5n9/HIxYLjb1+kwfyPjOLl5df0H5gGM2uLnhYWwsqwIJyntZ8xGlgL42DTo2aVu18qZbJuLLzKh32enJs81nGLRjJ6zThmJVyJaFugg9g5fSlBIWFE+7lhUKpxMzMhovPo5j2/VqO7V9NenExd05d5GO88B3MmDCE2ZNWcPf0JeztPSkoKaOVuwuX370j+UMclfUyXC0tsbFxBcA3MJR5k5eRlhZDZWUb7j125vDvm3n0+h6PYj7x9LMwEfJ2E06tNm16cu3ec87uPMTCPWtobKxn69w1OJ7djZeNDYtGTUb3wB6eXxSYHE8fXaBJ1oSVlTMl1dVsXLSXziO6oGppUsc9iyO4ezCDhkawbeUhANJSYmj7pS2TVs1g5/JD7Du2moTPmVw784DOQ8K5f+kS9vZeRKdnAFBdWs2lBy8wsTJh9YaDGJoasXzRTkL7hhIY5sefp65hYmnC2Qah+oq+E42hqRGxubnImxT8vuoAC1ZNY9Oy/VSWl5KXl8SJyz6a83TY+D5UFFWwZ80x/jy0krtxnxCLtHD2d+bY8RvYutng5umEdctD40NODvnFpez9dQ09+o7mxv5b/8kl/R/r/7RS2AKU/0Oj0VytVi8WiUQBwFn+o9H4BPD6zxqNvoGB6rO3bwuJQFpavMnI0HSyewYEUFpbS0FFBa2dnSmuqsLC0JAHCQn0CgwkragISyMjXqUIJ6SdmSmh7u5U1NVpKD7mhgYsX7ufrb/9iEKpJLu0VGN5fZyYyMvrUfyxZg5pxcUY6uoiFomwMzVFJBKRXVqKlZERpgaCJkCtVrN2518smzuR1+nptPfwYPWGg/h39GNM9y7cjv1IiJsr1TKZhp5soq/PoVsPyEnKYeb04diZmpBcUIitqSlWRkZEZ2bSwdOTgkqhdbNr11k2/TqH5RsO8MeqH3idloaXrS1WxsYcf/CEoZ3DMJTqaug9Rrq6qJqb+VpTg5mBPlFp6UT4+Wm673WNjRRWVvIuRdAx+Lg4EuziQm1jA6pmNU8SEhkT3pHahgY+tATsNKvV/7dgkddpaYS6uzFi6Fxmb/ievq1asenAWSaM6Y+3nT1HHjyid4gw5p04Yi6DZ4zkx3HDeJOezounMcz4djAKpZKahgbSS0rISMyisV6Qk4u04IeJ31Df1MTbDOEic7OyYs2PW2gT0ZafZo0hubCQ58+E6YlUX8rQ3p1xsbQk8vNnbE1NsTUx5tLjV5jZmNHVzxexlpYmXq6DpyfZpaU8fhOLs5s9g4KDhRQvtVpQsEp12LDmEPVV9Zw7IzhVk/LzMdbTY+ees6xZOpPMkhIkLdViU0s/4vnrjywYL2g5sr5+RSaXc/bkbWbMGE61TIapgQGm+vr0jRjJnacXkUokmu/Yx86e2OxsRCIRVsZGOFtY8jAhgTAPD0z09bnw5i2Bzk7YtYTNvM3MoK2rG7WNjTyKiqFHxxA8rK0Ja9eXp69uYm5oiKypiSvR7wBwtbGmvbs7OS3K23AvTwx19f7Lpg/ngAjAEigBfgWuAxcBZyAPGKVWqytafn8FMA1QAgvUavW9/+wgpFJ99cixP9GuXzvkjXKy4rJ4elfYcRy8foLcoq8M69iev64/wMffjX5BQTQpFGw6cBZtHQkrZk8gLEwYST5+fpnY7GwCHB25HBnF1P49uRoTg6WREW2cnYWT40k0Vo4CTKMoq5jYxx8Y9ctohoS2ZfL45ew4tJzUoiI6enlx7PoDSnJLCO8j6Cb+BrC6WlqyesNBli+eypHzd/hl2mjSi4sx1tPjTtR74p/Fod2CY/txwbdMG/UjIV074ujjiIu3E3KFEpGWiNZOThzce5FeoyMoKRESpSb1iuD6hw/UVNTQsbUfV649xaONB8Furki1tbn15DVKuZKqFgZku54hdPP1ZfuB88yZMZJGuRxjPT3yystRNQty3/qmJq5HCmX9oK5hvExOYWLXLmw6doGIrm0pr6vDwtCQdh4egq5CIsbcQJAt373+nMjrd7n98BTnHj7nyG/bOXL1CMtmraOysoTvf/+F6X16UVAhHH99UxPDe49h7JyZvLgWyZyNc8hO+0Lfru0Y3W88z9/cwURfHz9fwYVpY+NK/4nfcP/0dVJSorn0/D4Lxs1j/V9bkKtUGOvqcnTzWTZsXQBAeFBHjt2/SvTzj9i52ZL4KomGugbmL51EdmkpB1YeYt3eJbz58B/JXVZOVlw7d5AnMS958SEBR2cbbIxNUDY38/7DZ+KexzFuznBSkoWG3JltR2jdvgMhvUIQS7T4tmc3kv8v9t46Oupz//d9TdzdiHtCQoQoENyluFuxooVSaAtFWqC0FKggLS1WoGiRFIcgCQ6BhBhxIe4Tz0wyfv/4Zufcu9a997fPWb9z1t5r7efPrMlMvk/m+TwfeUtVFbmVVbjYWLNs0gIkkla+OytgM2RSGWOiw7n7+i1ero789w+etwAAIABJREFUsvU4k9ZMZEJ0JBcePKFV3EpNSQ3zl0wEBNfp3Wv3EHvzCJcfPcfQzIgp0ZFcS3pL+qN0itKKmPDxeBqqhSAyY8xgbj57jba2Fn5errjaWCOVyfn1p7NMXizgVDLKyujv6wsII1KJTMa6D79ALu9k/cGvmNOv378PdbpnUJBmz59/kv4qCws7c5ZNGkNaaSkAq2d/QszIEXz66Tx+/ukMti62NNc3M2zSAOQqFYP8/dn7y1l2fL4EEHD9NV1uQU1SKTnFZTTVNjF8YCQyhYJmqZSyylpS4wWptP271yNXKvhwzhZycl6xaudmMp9lMnr+CJqb24jy9+HW/RecPyCIb5iYWPLTqT18t/4Af5z9jk6FgtaODk6fukFNSS3Bg4NpqWtmxoyRPH4tNDMXfTCcorp6epibo1CpSC4uRkdLi5cPk6kvrydyTCT29lakvRREVvoPCae3uzsVjQ0kZuYxY1AMCdnZXNofy/5DG3mQkUn8uXjMbYRbJONlMiu/X8PQgAC+3XuCNWtmcf7vByyYPoZxQ6aiVqvZdXofg3sK6Lu1a/cwf+103iZl0dHeSczgMPZ9+TuzNs4mLSGNptom6ivq2PP7lwAc+f0yn3wyG3sz4fNupKTQIm6ll58HqRl5TBzSD20tLZyshHr2aW4Ofj0cWLN8F2M+GkMvD1d0dXRolkhQqdV8uWgD9x5d6rZQy6mqorSuHnGFmMkj+lNUW4ubrS0etrYcuRFH39AAXmfkYmolMBKjfbx5+DqVRxce8cMvX5CQ/o7ePl542dly6nY8Go2GxupGLOyEtldVURWffTyH+rY2sioqeHT5CQtWTOHZi1R69fbj9ZNU1iyaSnljI2dOClR933Afpg/pT4tUyrfbj7B+8yKK6mqxNzPH1caGgi7exz/W7t/OYWppgqGpEUEBXryvrMHGypyEq88YOW0wI3r1Qq5UUtMiBPJ9P51l6PRB9PPx5vztR2Q8zWD3nrU8ycmlJKeM1oZWPlowEYeuTCGnqooHj94gaZXg5ONEdC9/KhoacLKy4vSJ63S0dzDhw9FEewm+D3WtrTxNy8TA2IBIby9ibySwdeX8/3Af/rP+s/6z/ufXv0SmEB4Robl+/z5mhoYY6AoeiP/w/6tpacHW1JSly75hz77PsDU1JbOigm/XH2TTj6sJ9/Dg76Skbqntgtpa7MzMiIt9zMx5Y5CrVPTz8eFtcTEqtZp3hSWE+3vj4yCM8wz19Dl05SaLJ4wk9uVrZg/s3835NzM0pI+3NwqVEqlMUDlSaTSI21pxtbbBWF+f53l5XDl1B/cgdyIjAjHQ1aW3uztaIhGyLnRcVbPg/3fr4UuWz/iA9s5O4pJTCfH2oK61lWGBgdS2tHQj/ObP/JxNP6/j9KFYdn27GtMu7X61Rs2V20/o0zeYMHe3bpRlbUsLLR1SPG3tuPfuHSX55SycOJLyxka0RSLaOzsxMTDo1kSsbm4mp6qKxrZ2pkVHUd9l3JpSUoKxvj4BTk40tLeh6pqe9LAwx9zQiNMPHmFmZUa4hwcqtZoLl+/x0bwJzJvyMcf+2kdNF214UM8AEgvyCXF15V15OQq1mhAXl26D38yKCt6k5aDdxZKUSWWsmv4BqSUlBLm48DQvjyhPTz6c9QWDpg1l7sTh5FVXs2mxkLls/X0Ho4KDBXSpSsXJ2w9ZOXkse/+4yLTxQ3CyFLwoZV3TnE65HD0dHR5mvCPU0wO/LlETD1tbqpqb0NHS5ufdp3jz9CFvkgVx27KGBqxNTBg1ZAZPnl+lrbOD09ceMOuDodS1tuJtb8/LggKGBQYCQq8pNimJirwKlkwbQ1ZlJb2cnZEplezY/jvf7FiFmaEhT3JzhT3y96elQ0p5QyP5NTVMDAsjPjurW1fxzfv3OFtZdmtGbtlzlP6joxkZFERdayuVjY0Y6Olx/uxtvv5sEQa6enQq5N2K3TpaWijVanzs7VFpNMRnZTE5IuLfp3wwNDTR7PnzPIamhqQ+SCFqXDTbFgv69cdvXyQvt5ilE0dzOfE1dWV1rJk1kQ65nCvPX2FqZsykiAhi+gq+D8djD6MtEuFkZdVl9eXCsdg7DOgbirWpKVbGxmzd/hvuge4A9AzxZvOCdazZs4WFI4ey+KPt/HJoEx1yOdYmJrzIzyf5TRbevYRU0cXKShBrMTHh9I0HjBnSh4TEVCZ1pdAA+389j7WTDTKp0EibOmkoA0OimLFwLTGTYujt4c7jpHT8fNxws7Hh262/s2H7UpLyhEbg4GDBku1tbiG+7s5UNDbS282NutZW3qbkYGBsIGgZdPUUooeH42RpyfWrCaxaMo2sigoG+PnxtqQEfR0d/Ho4UFIvprbr0AY4O9MiFSYAB89dY9yIftS3tuJgYYGnnR2vCgrQaDTdQepZYjplOWXs2LyMHw9fID8pn0VfzuHlo7ck33/NkFnDObXnIPEvhNS7pF5MtLcPX+/7AzMbMzrbO9DS1mbEsGhWzVrDsxfXaGhvZ+6U1QBEDo2hvaUdM2szbp45wwdz5vLq/mMmfDSD8IgA9HR0eF9Ty/iIcAA+nLWRz/as4t6NZwQNDKKqqIq6klpsXWyZM2E4C2Z8ysJty3h4+iEAPbx68ObBcwwNzTh44msuXH3IyOF9KKqrozy/gpAwfw5uOszOX7/g5i3B96OhSkxbUzvTlk8gL7uYGaMHYW1iws1UARezbPwcLC0d+PqY0Jisr2tkztAB3ExJxcrEhPfFlRiZGjI+KoILD57wPv09uvq6uPYUqM16BnrkJOaw5fNFSGQyrsY/Z9aowVx88JSMJxkoZQrGLhmDsquZPKtvX4rr6zh76R6LZo+jWSpBhIj9u/+k78S++Lk5Y6yvj2VXQzy/pgY9bW02f7SF8AH9WfXJLHo6Of1TQUF7+/bt/+TR/d+39h/4dbu3TygPLtzB2MSMwSOiqSnuwMXVj3evs7l47HfmLpnP8qlLsbFxwsLVhvSyMuorxGjr6pBbXc3gCcPoP24wvZyciE/JQEdPh5qWFiyMjKhqaWZQUCBmhgb8Ff+Ml7eecu3ccV7FP2TDF58SPLwfKz6YTF27Hi8f3UXcKaKkvp6eXq68SM/ij+/2k5NYQHJ8ElfPxzJhxgd8teEg5jbmTB4ag1wbEjNz+f37M3iGefE87g1qtZq7Fy6Rm5LO6o8XUd+qy8QPR5P6PIPyOjFV+ZXkZhRRJ2nn1vlz6Fnbce/Pe2QnZuMc7omjhSVmpkL3urWjg5yiUhIfviW0Xy9O7DzK5VOHyEhKJPXVM8zNXLBytcXI0oSCymqifLxJKRFUjE7/FsvNW09ZMGMMujo6WJmYUN7YyNvcQjrUSr5a/iljZ05iyfh5aJvZkJJfRFV1PTnpBQzp2xtTAwMWTZ5Jv5EjGNY3jHqRnLK8ct4+TqXv+L7E/32Lo/t30KKtx6lfY7l76xkrF05Gy8qDb9YtoVdwfzolMpYvnMzRw1dwdHWnRt1Bm1JG2NAookb0wcjSmFe3nlNbWk308CGItLRw8nBj/bKZlIjFPE9IpjynHEsXG+paWzFxtOR1QgoHdn7GiMnTkLZIKX5XjG+kL1q62ty6eJ38pEKK8tOpqSol6VkC4z+cQ8jgUHzdnFm3eBVNjRoSLt9HrRDxMu4NOw98hp25OVs/2UROShp6WqZs/W4VPg4OTB4yjLAPxnAl9iGP/nqEAg22Nq7M+WIhg3v2xNXamoun73Dn7nP8w3z560AsCpmCe2dvEv/wLevXzEVloc/kEf1JSc9D3innxK6DuHh50aqn5lbsI45+vwv7kCDuHLtNW1MzkrZ2muvbMLEypUPSSUZpGdfOP+Dsb/tYv34NR09dIyUlhwXLJvPF/NXI5Ho0SCVoG+vT0N7O28RMHt94QWd7J34RPTm57xwFBW+rt2/ffvS/Oo//EkFh954ft5cXFrPl8E4+GDuAPV/+jrOfM6ZWpnz8+Tzce/dGLlLjFRrEyJF9ifLyIuV9Ma+uv6KqqIp1C6eRnFNAZ4eM/oE92f/9KYydrUi6/5Yxw/piZGxIW2cHOto63L7+hL7jYwgMjSJy4GDevs2mVy9vgvoPou+gMHR0zGhraqO2pJZxo2PYv/Mkw2aMZd6KaQwcE8PIyaPwsrMjamAoRZXVeLj2IL2klKkxfXAN9SDG1xcbvx50qlWYmdvi5uuLlq0xDj6OWJuYUJBdQs6rbPqM70PCxfts27ICM29PMh6n8/HXi4kZGYW5oSHXbz7BxtEaZysr0vOKuHn4Jnt/WE8vFxeKG1sYPnkyIVH9iBgwmDlzx9DH2wd9PV1ievrSIZcT6OzMyTM3Wbx0CmF9e+FkZcWd1DTKxA0MCwzk3J83WTxtLNqOTgwNC8a5TxjPYp+xbdNSevm44+PnTmZFOdXNzVjbuHPn3CWChvYRSEIn/8Y/MoDnsc8xMbHAJcyTs/vOMXnNVIHvoSWipqGJXsH9+XnHWs5dErwUpPrw8sYz3Hq6MykmmnN/3qKisJLku8kMmjGEhJvXUEpF7P7hM548TiYmJpSU/CKkrVJ+3PIp0xYLVOa/9l2m97Aw3F1DUKvUGJgY4OzrzLDo3uz+8jeMjSyZ8dlMpsybwogpY8h+XYRbT08enr/LwLH9qanowLu3Nz2jehE2OJSGmkb0e5hTUFVNS2UHtvbO3LtziikL5/E09R2RA4Yxum845Q0N9BkbjYW9JakJqYiA8NCeqDUa4m4+Y9aqyRTklDB+xjDWzJvBztO/MG78QF5k5mBsZIhULsfU2gwbeytMzKy5cuIoGzeu5cev9zB66kymjh+CS7gXZjaW1BTVMmDaAFyc7bGwMEWjLeLqsQus+2k7L5Le4RfmQ3urhOKSKmLGDmPw8Che3U9mwdTRuFhbozDUpiinhBZxM0/irjN1xXweXL/8TwWFf4nywdXLW7PnrECIih4diYmBAS/jhZm0d6gXZ78/xe27x/n5zytkPsvk+5/W0SyV4GVnz4lbDwgL9usG5pTU1xPh4YGhnh4tXTJbqbmFmFmZMTQggIb2dmJvPiI5Tnj/VTuXkJqUTWFqIcvXzebk77EsWzMThVKJv2MPLj59SfLdJHwihFGPQqbAqocVHW1SKvIq+PqLxRyNvYuZtRlW1uZYm5hwaMdJPEM8u0lde3euYdM3v2HrbENrYxuRw8MxNzIi1NUVqVzO3EnLWbbzE1ITBIMaZz9nPpk9iUOXbjJpeAwPklLx93JDIpPx4kES5rbmFKYUdhOi5nwytRudZ2VijEqt4WluLuN79+ZpXh5KlYqB/v7dRiQxvj6I29ox0tNj3bJdTP50MsUZxUybPIz00jL8nRzR1tLq7tMcPBmLg6cDC0YMITpiNFOWLkAhVxAzLILKWjGV+ZUE9wnA0ULo9ivUahIeJtJU28zHq2bgaefA68ICfth8mJVfLyTG15cxoxbx7RFBqLaouoa6sjomDI8h7tkbnv/9ghVfLeD6+ft4h3pRnFnCuk/mdvcIXubmEX8mHhd/FzraO9j6xWIuJTzjxbWX7D+wgdhnrzi7+w+kUoEkt/7AVgz09PCwtaW4vp6yokoq8yvIfp2NrbMdXiGe+Pb2wdnamuwiYeoVHeiLp60dlU1NbFr9A3K5nNmb5nDvxD06JZ3M+2ImpgYGhHVNIA7+GYuxmTHGFsZkPstk08bFbNkkZJMB/QLoF9QTf0dHvj0kaH2q1Wr8I/24ffQO23av5s+zt8h+mU1gTABTpg7nzr0X5L7OZfRiwQxG0iqht58Xy6ev5PGL63y0aBv+0f7oGeqRcCmOpd+uoqmumQs/CQFYT8+AmZ/Nx9jMGLVajYG+3j+NaPyXCApObp6a+FfP0dHW5klaJrMGx3Dkyh1A0Cf0cRBMXCUyGWvX7eXrb1ZiYmDA0Qs3+XzxDN6Vl3Pmj+sAzF74Ab3d3elUKLiW+Ib6SjHHv/uRtIyn/HjiEivnTiS5uBiHri+wj709ew6f59OPZgh2bDU12JiaYmlsRGtHJ44WFtS2tvAiV0D6je0dioWxMS1SKSKRiDO3HzJ1+ACK6+uJ8fWlSSJh46YDfL19RffIrUMu5+9bjwnr04uhAQE0SiSUicXo6ehgb27ebb3W2C4Isao1GrIrKxkTEsyQAVO59+gSMqUShVKJg4UF7Z2dtHd20igRXn/j5hM2Lp/N0etxLOvqvZgaGRLh4UFGeTmhbm5s+mI/R37bAgiALfeuA29hZISFkWBNpqOtTadCwYWHT4Xyq6QGgJVzJ1LT0oKHrS2lYjEpxSWMCQ0hPisLdxsbnK2tuXj3MYP79e7e0wOn/2b+1FGo1GpqW1ro4+NLcV0tvx2+xNqPZ5NbVUVKsoDg9AhwZ5C/P3nV1RRVVjM+KoKbyW9prW/hw3HDkSuV6Ghrd+se3n2ZzOi+4ejp6GBpbMzttDR8e/Sgp6MjSpWK/Joaqpub8e/RAxAQnLlV1RTml2LjbMuooCCM9fWpaWnB2coKpUrFjycu0bd/KAFdBrDF9fV8OGYWP108SpSXF1cfv2T8gGjszc2RyGQcu3QbeaeMlAfCaHvR1nkM9PfHQFcXqVxOTXMzXvb2VDY24mJtze9X7/D717t5l/kMAKVKxeOcHMGJKyAAiUxGblUV/o6OnLh2j8WTRmGsr8+DTAFr4WhpiX+PHjRKJNiamlLe0IBIJMLcyIiqpib8evSgvKGBV13grwgPD5y7fCbMjYzo6eiIvq7uv09Q8AsM1Gz4+SB6hnqMCAnmfkoall3Kxv49HNm6bh+rty8mv6SCmpIaVs2bxG9nrrJgxlh+PXKJhQsmdGO+S8Rizp27g1dvL0aGh1Lb0oJcpcLW1BQPW1sOXBA8FV7eEMhKS3cspr+vLzt2HWPagrGkZeRRkVeBtZMNH8+ZwJZvfsfGyZahXVZvpWIxfby9eF1YRG1pHSunjUOpUhGfnYW+jsAdOHs3ATMrU7ITcwCYM08gNoW4urJ4/lbsXO0IHhyCha05M/r0YdP3hyl5V8LE1QKwJf1RGqtXzsTC2BilSsWL/Hwy3+Yxb8pI7r5+y6trL3HydUatEoLOupWz0BKJ6FQocLCw4H1dHTpaWjzLyWVwYADF9fV429t3cwH6eHvzqqCAEDc3tu86yppP5nDnSSLZL7NZ+PE0wjw8/h9uRvtOx2LVw4refl5klZTh7+rMjGETKXqfwZU3b+jn44NEJutuZNqbm9Pe2cn5U7cIGhjEnWN3+PHQRtxt7XhXXkpbp4wdq3dz45aA/dBoNHz3y2lCBgSjVqvJeJ5J5JDe1NY24O/pytwRk9mwby9ObgJCdFhgIP2jxzBy6jSyEjO4cu0gJ28+4PYfN1m1awVFuWX8sWsf/YcLPAb/6J4CAGnMUC4/ek5SXDKJT+5TU1NMr14D6DNqIFvXLeBlQSE3zwrTh8ixkUyNjqK4vp5vvviFqor3OLl40drcRF7ea87eu0KwizMpJUJmcetyPBoNjJs2hL+OXmfY7KH8/cs17FxtWf3JHLIrK4nw8GBll4y/Wq1k6Y6P2LbkCwaO+YDizPcUFr5l4ocLmD13LK/f5fD71h+ZvEQQ93n7IBlbZzuqSyrYc3gL4V6+WNs4cfPFA5ZMXsLH32/i+qG/6ewULoq0tAS8vcNZuHklhmaGFGcUs/2Thf8+ykvv8wuJOxHHqEWj+O1ELJb2luz+WCDXbDvxM/2nxBDo5ERuUSloNFgaG7Ny3iSmTVjBzHXz8XFwYOWnuwH4cc86HL0d6RPgx76D59i1ZQUbtv3Krm0reZyTQ0CQN38fv0X4CGFv5EolPx46j3+0P4FOThzacZIlm+ch7hrTBfQNoKaklqzCEgACvd1xtrLGtJchfze8FKjNurqM7BVEiViMvo4Oxe+KcQ8UTE1AKGkObz3Cgq8XMW7FB4IMeU4ZSXFJhLq5oaWlxeRPJnXvx/dbVvLtoTNMnTSUR4mpOLjaY25rTm1LC4N7B1FVWIVIJOp2QLqc8JyJA/tw5/VbpvTvQ25VFUMCelJfXk+WRSVh7m5UNDZh3pURKFUqMjIL6Ofri4u/C+aGhrh7O2NgbECEpyf3MjJolkipLRWCSHtTGy+vv2D4sa14ODrw2cIv+fbMYT7Z+BM5b9PpdXo3s8fOY/8FQa/B1dqawQOm0GfoMGL3X2L9ntX8dvgS78pLCXZ1J6OshLi44yxeKbAkRSIRVg5WHPjsB2pqitl/6RhHt59kww+rsTc358+4K1w4fI05uwYDMHvaOk5eP8lvP5xl2c5l7PvjCvpG+mw98DkldfVc2H+czUd3U5kvyL0lXIino6ONG0f/5m7cHyTff8uhy0doaG+nU6HAWF+fPYfOMXPGqO493bNqM4ljJjBt0TgiR0ewYPIWmqVSKhobMTUwYHhYH8ZPXs70NQLMuVMqY+MXCxG3tzN/1VR2rN7Nx99/zAA/PyqbGnl1P4mnspfM3zIPgIqiKrYv2UjimzguPH2BmbUZl2N/5sLTF3wyfwO+wUH8eGZfN1R99cIpxGVk0FApGPrkVpRS1dzM2+x81uzdgo+rE3M2z2dCWO+u75yYl+9y2P/ZdhydvFn3w7p/+jz+S2QKvcPCNDuOHyfIxZl35RWoNRrGBAsyVHuP/sXAoRH09/MjrbQUiUxG+rt8BkaHotFoaOvsRKlS0b/LbUij0XDh6XPGR0WgUqvJr6lBKpfz6nEKG5fPJre6GhMDA1KKBQEOkUjE5IgITt5PIOluEjt3rmLN8l183OUEXdHQyJDAAE5cvA2AsZkxWtpadEo6+XT+FLS1tJApFFx6/gpDYwPqK+rpHexHXx+fbiu7hrY2vO3t0dLSoqG9nVuvkhjcO4j9P50hZEgIUwf05dbbFPr5C89Q2dhImIcH2iKRYB3n4MDle09RyOQsnzmeto4OwYewS2U64VESAweF09PRkeuJSYyJDCOjrIwmiYSUhFTUSjUhQ0LQ1RXugLt/xPH9D59S1dSEhbExWRUVtLRLqC+v7zYobWtu78b1p5aUYKCni6u1DUqVitaODm4/e8PYAZE0SaSUNTQwyN+fUUMEX4ZfLxwkxNWV0w8f09HWwfLJY2hob6e0oQFTA32CXd3plMtQqIQeQWO7hBKxmA65nN5ubtS3tdHDwgJzIyP+jH+Mr6sTz56mMHK44GngaWdH7LNXdLR34OrhSLCLC05WVsiVCj4YvYS1P65HqVJ190Tq29oIcXVFpVZz89lrqouq+GTpjG6ZtLbOToYGBJBfU8Pff8cLnxHsyZR+0ajUahKyswlzd0OEwInpUCiobGzE296++3987M9rjJkwiNTMfGYNH0js05dMHdiP+KwsygsrWTt7EnKlkvd1Ao7g4qV7DBgZTT8fb349JyASNyyfTYlYTE5VFU0NLXw4fHB3UGhob+fs9QcM6BfKF4s3c+ziAfJrqmlsakVHT5fke8nd/BsQEI03Hr6gV7CPIMeno0O4h8e/T/kQFh6uef3mDa8KCujl7Cw0Cbukt7RFIk7feMCowVG0dcrIKS5jUt8orr54zdjocFqkUuQqFcEuAoPur1evMNLXx9veHm97e7IrK1GqBN8ITzs7OhUKMisqeP9euEUWjBlKTmUVr9NyumXfQUiBTQ30qWpqpkQsxqcL+FMqFtMkldLaLsHbsQf25uZUNTWRmfseP29BFCOjvJwAJyeau2p+WzMzlGo1zRIJlU1NRHh4kJhfwPiIcCyMjDh29wEhvp7dz7xvwy8cP7ebgpoa3GxshJvUxASZQsGJK3cxtzHHxsGqu7naz8eH1o6OrkajCfFZWehpa+Nlb4+ZoSElYjE6WlrdUvXWJibo6ejQIpXy9/NEgn08KG9sRFdbm7q6xm7npn8Yxr4rLyfCw4NGiYS9e0/xzdcr+PnwBRbMG4+lkREnYu+y/sNp3TX/ubhHTBka0y3vPmncUrb+som9n+0jLu44cqUSAz19WqTC/rRIpSS8y2RkaAimBsKtvXLxVNat2s0X3y3n5s0nfLxwCn9eE1L7j6aN5affLzBwVDRllbVMHdCX53l5XNh3mXOnd1FUV8ehX//qhjnPmDIctUaDu40Nz/PzhUvi3huaaprQM9Bj7rJJKFUqrl24z7jpgglvhKcnnQo5V58k0inpJP78Q2yd7VApVGhpiTj2+1eoNRqedYGR7M3NOfzLRdaun8f2jb/wy6FNbPnqV9ASsXjVNBolEpwsLTlxXNDJdPJxYs2siXh7BvNX/HUy89+z6cNFrNqyk1WLpwol1a7j+EcL7Nyrv11k15FtXI9NYOcXHxHTbyJDJ48XDJf/us+gD/phqKfHZ3PXAuDo5M2wOSOZPW4o1iYmnLz7kOXjR//7BAUbW0fNjiPH8PFx5UV8Ms5+zjy7IjRk5q+bgZOlJRqNhrcFRUT4euNtb8/7ujpKxGJMDQwIdnWll58AbElIeoS1iQkdcjkN7W1YGZuQV12NlYkJvZydKWsQ09gu6WZhlorFfD5nFWdun8PR0pIzV+/z0fSxNLS3425rS0ZZGe/r6robk//g4etpaxOXnsH0PtHMm7eZ4yd3kF9dTZCLC09ycykpq8LQVEjXZ8f0Y/q0z2loqOLgmb2YGBh0uwallpZSVy1mVJ9wqpoFMJKetjaOlpZ8t+s4WzZ/RFppKa7W1pQ1NAgcA0tLiurquhGTBnq69DC34Oj+v1iwehq93dyQKZWYGBjwpqgIL3t7ZAoFZQ0CYamXs3O3vV7S+/dEeHhQ2OW3aayvz/W3b1EoVUyMELj/Fx49pzy3nHXLZnIjKZm7R+9y6tQ3xPQdj729O33H9efMgYO8SBZu2csJz7m0/ywf71lL4t03TJkzipcv0/hk7mRWrNnFL/s3oNaAuZGQlURGjmHlrs95eOYhCpmC+Rtmse/zn+k3djBugW7MGBTDz8cu4tGl5rx9ySfEvbxHakkJoW5urJq3gdD+UXyx/kOaJBI/5112AAAgAElEQVT+OPY332xayvXkFAAyn2fiHebN5zPnkpCaiEotOEtZGhvRIu3gdmIyP366hZkrVvDBBEFe7czRa9SV1aFSKPly78eEeXjwIj8fcyMjvO3smDNzAwkJZ9n++zEARg6KxNTAkMt3HjN6aDRX/o5n1Nj+BDo58euZq7j2dOX1rdfs3LYSEJirJ87fYuPy2dxMTRVEY+3teZyTQ+a7QtIfpbH5mxU8SBSeISrYn9zKKjzs7bA1NcXd1halSsXaz3/k228FoJ+OlnZ3iahSq9FoNKzb+DOmNmZEjYhgWlTUf7gP/1n/Wf9Z//PrXyIoaDQQfzaeovcV9OobQHluOaZWpphamZKdWURWRQWZFRXUV4rJq66mqqkJmVLJy/hkMvOKUSiVzF21lrmr1iJTCGrDhbW1nDt7B7lSSWVDIzpaWhTU1PAsMwe5SkVudTW51dVUVNTSd7BQ80pkMmqKaygRi3mUnE5+dTUpOQUUvSsm+W02yW+zqWhoQKlSIZXLqS2tpbKxkaKCdEwNDLrx9vn5pVQVVVOUVkRRWhF1ra306h+IkZEZBTU1vMzNQ6FU8ig9k+bmNlobWkkpKSGvtIK80gpBMDYxmcKMXOrb2igrq+FRYmo3h6GhvZ2KshqKs0spzi4l7917jPT1+WDhaNo6O5GrVCS9f09RbS2ZecWI21pxtLSkWSqhWSpBW0uLy38/RCKTUVxSRZNUSmVTEwU1NYhEIuqrG6gqqiIhO5uE7GwaqhrIScwhu7KSlrpm3iTeRSqXk/nuKZa2Noi0BPpzTlUVOVVVyKQyIofG0NTQQnFGMUXVNXgEuKPRaIQGabuEFqmUyMgxREaOISnpLmG+XnS2d2BgbICdmRnDZo7B1MqUguR8WqRSijOKMTc3xdzclLa2BsG2rkVCfVsbdg7OBA8KxszQgJT3xTi4CxqI+nq66OvpIm2TEurjibW1E6aGhsi7+iKtHZ2YGxlSnltOaNgQTCxMUKhUKFQq6srqmLh6InqGgvpzs0SCmaEhZgYGSOVyPII8GTRoJrPGDmHW2CEkvEzFWF+futI6HC0sSUtIxcrYGG0tEQqZgnFhvZkwX3AbMzM0REsk4vmNR+hoa1NeWEmnQoFKraanoyN2bna0t0jQaDQMCO/FgPBemBkaIq4QoOoypQItkQiJTIaOjjZl4gYM9fTJqqykrrVVsCOUy2mSSnH0diInMbsbgv/PrH+J8sHR1UNz6vYNquoaeHrpCZu/WcGxY4KeQvDgEPLe5PL5yjnsO36JyZOGUtVVl8dnZRHo7ISutg6xNwUzVC0tLbS0tVg6YxwKlZKiunq87Gwx0TegrKEBOzMzDhy/TGuX6/S2TUu5nviG67/eYM6Xs0h/9o6hY/ri7+jYTQqKf5aMdQ9BlCUvKZ91K2fxw4GzjJ8xjGapBGsTU3zs7bn44CmLPhhO8vtilGo1qW9zup+xpriGgeP7oaejg7OVJbFXE7DuYYWrpxMPLz1mwfLJ3RZk/o49aO0QfA4jPT1Rq9U0SiRcvPaQ3MRcPILcaaxpwthMSBWnzxnNhdO3MbM2I7hvIOL6JgK93UlOzcHJoweN9U0M7B2Eu41ArlGqVag1QkPz/F93+fLjeWzf+weuAa74+rrham1Nk1SKTZcN3KFf/2LAxBi87OzoUCgoqa/n9a1EVnw8kzULNnHp2m8cPn8DF3+hrzOjbx8+/fJnirMKGT53FAALJo7k4LFLdLR3MmHmcIpralErhZFqmK8XIa6urN7wI+a25jy5fg9tbR3+vnWMtyUlVDc00t7UzpyRgwF4U1RE/M3nvLybwGf7v6RB3EzsgUt49vJh1drZjI0Zxafff8vlXwU5dWdXHyrLC1m4dSVero58Nnctq77fyNt7ybxMuMeSLevw7+nBIH9/+kYJ9oN9h49kxKyhjAkOZvFH29n83UrSS8t4cukJA6YN4MpPlxnx4Ug8vQRcQ3tnJ3WVYhxc7Di54wTjl0/i1tGb+Ef2ZPaH49jw0dcs2r6co1sOAtDW2sj6g9sozy3HJ8SLnz/9nsnL5rBv8yYiI8diamlGyOCQbn7LyPH9qWpu5sqPV/j1j684dvYGrj1dsbYy61bi2n5oc3djMquwhKwXWdyPvcSWYz9QllPGpqWz/33KB2mrhOPfnaH4XTFeYd7ce5FMeV4F5XkVtIhb0NHTJbOigpxXOXTIZMT4+vIkN5frh26QmJnXbWbaUtfMZ4umo6OnQ2pJCWduPCTExYW86hp0tLVxsbbiwv0nKOVKtHW00dbRJqW4GG1dHezd7GisayL7ZTY5+SWcvxWPr0MPXqVlk/0ym4bqRhqqGzG1MsXM0JDIkeGkv8tngJ8/hVXVtHR0UFdWh1ypokkq5fWLdFIepJDyIIVpYwZh6WCJSq2mML+UJ28EFmb2y2yaW9owNDEgMTWbiqIqKoqqkCmUFFZUoVKrEbe18Tw/n7tPX+Mb6s2h3zZTml1GU00jlYVVVBZW8TargJUrZ2Bsboyxvj4DQgLp7eaGp48LjfVNaOsKgahELO5qOmpz5NItDPX0aG1opVOhQN4po0XcgoGuLinFJbxNz6VFKqVFKiX9RRJXD13H0dICH3t7Tn9zEu/e3mxe/SP5+clIZDLizl5DXCFGXCEmtaQEM2tBFuz4dz8yYXgMedXVhAwI5vXDJ3TI5YwMDeHhmYc8PPOQb9btZ/WGH/l17+dkPE3nwJkf0NXVQyoXmKk6Ojoc/2Y/Z+/Ec/ZOPL9s/p2gAUHo6Rmgo6VF7IFLmJpb8MWGhaSVlGJr60oPDwdmr1vE7HWLiH9wlqFTxnLkq58JdHbCLyCC2pIawkaE8fXxvRSlFZGbU8ypuAR8/MPw8Q/j0qlfqCip5udTVzCzMsXJyoqkuCR6ePXAzNiIpqYa0h+n06lQ0KlQUJpXTlNNE3Klkr7j+7N/w3b8I3vSs29PNBoNk1ZMp6mmka9/+5qvf/ua0bOmc2rHUQYNjiD2wFWCIqPo3783iz7diEqloFncgLauNoYmhhiaGJL+roCbv90kaFAQcqWS4L6BaOloIZXJcenpyurda3hfU0uwizPBLs6E+nri5O2IoZEpV3660o3L+WfWv0RQaG9vormxHo1ajYWtBQnnEngQd5YHcWcJCfBGrVbjYWtL+MhwktJy0NPWZpC/P47ejry8+gI3Gxuqi2uoLq5BoVRiYWeBTZcSs4GeHnnF5dxOS6NU3ICNozWl2aXdZiFXT8eRHJdEQL8A5o8cQk1NMdEhPTGzNkPc1kbum1xUChXePd3x7unO0CGRvHn/nhFBQSScf0RVUxN6erpYGBkxZ+ZoiuvrSXvxjrf33iJpbUfS2k5ZQwO3/7xCZWkNaY/S6WjvQM9AD78of0aHh5KXnIesQ4akVYKkVUKwqyutDa0Y6urSLJFw98x9OiUy+vr4UN7QgKmVKU4+zujo6qCjq4OnhxNOlpaY25ozyN+f9s5OOuRyGlvb6BccwJSYPsgUSi7GPuBi7AMquqzL7MzMUKs0PMrJIWZCP9wC3Ij09MTJypLIEH/yq2vIr64hJCaSV89u0dgu4cj5G1RVFWBgYoiTjxOenqEkFhaSm/uaySP6M3lEf4JcXLh55gz+EYG4uwcR9+wNRZXVqNVqamqK6e3mhqmB4GatkCkwtjDB3Nac8eNXc/PmIUrFYlQqFbUtLWiLRNSW1hIc3o/lk8eyfPJY6uvLkUll9IoO49H150xaNQVHb0eeZuegVCoxMbGktbGV2tI6akvrGDxkNolxzzE1taJF2oFXby+MzIQmZ3NjK+693OmUdDJxYB/cAtxwC3DD2zuM1oZWxo3uj62rHZWNjSxZPgVLO0ve55VRUZFPSW4hrtbWuFpbI64UM2+6kBUFR/XE378PbgGujIkMI72wmMaaJjqlMirrxFTWifEIcqehoRInS0sGTB+Aey93HC0s8An3wS8iAGNTM1rqW7BztcXO1ZZ5Y4cSMzkGlULFu/JyjPT00NXT5eWNV2hraxPs4kJ9eT3lDY2UNzSSWVyGhb0lAKmpD1nw1Yf/9Hn8lygfvHr21CQlJfE0L4+7p+/z688bOHJVgDkjEtEibmHAoHDK6sXo6+kiVyjp5eqCi5VVd7p0M1mwjStMKcTBw4FBEcH49uhBQU0NGo2mG55qY2rCyVsPuwUxt3+6iA3fHEKlVPHR8qm8SMsiPNCXno6OvCgoINzdnfvv3tHUlca1N7Uz44MhnL0Sx9QJQinzND6J1YumklNVRaibG+cfPCE62J8SsQA0Kc4royA5H5VKzSdfzMfe3Jybr5Pxc3OmsKKK9CcZrPtkbrfaVE1tA/2DAzjxxzV2b11Jh1yGWgNff3eEi3/8wo+XT1ORX4GuvjBB8fBz5eYfdxg0fSAajQa1WoNSoUStFKzlbW0tGeD3P/gh4rY27M3NqW5u5u+Hz5k/bhh/PXyKgbEBUf4+VDY1IZHJiPEV1Jxvv0lhVHgoDzPeUVtcS1R0L25dTmDB4gncfZiIR4AbdmZm3TRfuUrFoxvPUas1rP9kLp+u/J7Dx7/m58N/0XdYOO62tvx1MY6oIcJ0w87MjM8WfsmBMz9QKhYzJTKKg5eu0SmR4eznjIGuLgP8/DDtonKnlJby4mUa5bnlzFg4DrVGw9uUHK4cOsPNe6fZtvMIti62nN4veHN+c/oXXt9+zeLlU9EWifhp5x8s+HQGF4/dIO7aeY7fPE/B+wrG9otg5w5BXm3Zp7OwNDGhvbOTc3/eYvyMYThbWXIj/hV2bnaIK+rp4ebQraeQVlqKqYEBpQ0NpD3NYP2KWew7ehEbJxv8e3qQ9DKDVfMmMXLwdADs7d34/c9vuXT3MXM+GMaGdT/hG+FL8v0kBs0YjKRZgleoF87WQtlqbmREDwtz1q7czfET2/jhyF94hniipaVFyoMUcpOz+OHoV2RXVgICOKq+vB6RSMTHS6fRKGknyMX1vwfR+P9hG/cDMB6QA0XAIo1G09wl8JoD5HX9eqJGo1nxX31GY00jVx6/QNdAD31Dfc4+ekrcKSEofPPrRrLKyunv58euhGSWzRuPno4uhrq6nHv8DCsrc2J8fNizUkBAfnl4N96OPfB3dKRELKamuRknKysqm5qwMjZGIpMh65B189ofZWejlCtw8nFGg4bM51lMGtiHutZWBvn78yQ3l/K8CoYMFEaexfX1aGtp0W9gGPGJqfTpHYBfpB+WxsZUNjYS7eVF39AAHj5NQtoizO3HjInhxdUXDJoxkLdF7wnxcEfS3I7SWUWAmwuZ2lnUtrSg7OJKLBo5lNyqKvqOiepumnra2TFh9ggiRkVQkV+BQq5ApRQOoY+9PeOXjOXoV0fZe3QrhbV1jAsNpaBG4C50KhQ8y8vr5tpHeHhQ3dyMno428k45Go0GLS0twny9sDQ2RqXRoFAq/wdO4ek7itKK2LZuEW96FHHjSjxDJ/bnzoNXHNu1l7/uX2bplGVcvifI7FsaGbHr/rdEDRvI97tPsOKrBdxMfkvkkN4c3X6Sk+d2sXLxVOZNFXwuhs0cg7a2DhuXbkOlUnHw0jU+mSG4Gz3KysbE1ICff7vAvHnjADj2wzl6DQxCpVRRWi/meewzHty8zA9/HaFFKuXR7eucunEKeadQfpz99k+0tHT4dMEmZn+xgB5ejpTW1TN01hA8Q7148TgFeaeclt4BWDoIt+vOdfsxMTdh/uezsHWxxcfBgQfpGVQWVNIz0JO9u7YiEmnzYpzwN03/cCwlYjEVRVW0Nbay7+hF6svqCI7pRWWtmPiLd0l/lM6CjcJIslMq4/SVOLxDvHiY8Y7AmECi+gaRlpBG0p0kpO0SjMyNOP+9QKDasv8zrj1NJGhQEC3SDsIHBONoYcnduy+IHhtF1JhIVBoNUV1ybA4WFnQEyVkzbQlKuQJTK7P/6hh2r/9V27iRQIJGo1GKRKI9AF22ce7831Sf/9nlHxSkSUpKAqBUXI+PvUO3qq+ztbXg0VhZyey+fTke95C5Qwfy++VbLJ06FpVaTYdczoN0oU4fHhxEh0JBaX09A/z90dXW5sKrV/Tx9sLNxlZQKeoCPAH4OTjw4YdbOXR0K9paWnQqBIl4cyND1BoBPKVUq7uBOf/gFrjb2CCRyTA3MmLz7iMEDwxmcmQELR0d3Hr5humD+3d3fLVFIo5djSP3dQ6bty7FwtiYZokEJysr8qurae3owNvevjvrWThnE5eu/MTuw+dZNn8i5oaG6OvqUlBTQ+yNBBbNHIeRvn6376G4rRULI2N0tLWRyGTdJqbG+vq0d3biZGWFRqOhUyEcEj0dIcNo6+igU6FAJBJhY2ranVUZ6OnRIZcR4CQ00TQaDS1SKRVNTZw9dZNRUwYJwJ0Hb1g8bzxrFm9j5c5ljA4R1JwnjF/F4BnDWDZ9HDKFgu/2nsA71At9YwMCvd3p4+3NnLmb8AkXMhFTK1M+mj5WmOi0tJDwJJm5E4fjYmPL87xcOmQyQt3c2LZTuMX9ovwY2qc3LtbWvK+r401WHktGD2fDN4f4futK6ltbScjM6lbvmt0/hrKGBu48SWTZpDFI5XJyq6up6fIHmREdTUy/SWhr63D3oRDYZAoFT3Jz+eWLnzgde4grcU+wtLckuqcvbwuK8HB0ID2zgCHRod3fY3FbG8b6+tiamaGvq4taraZZKuVFehaLRw/ndVER5V1YkSgvT3S0tLmW8ILJwwQ/i+Nnb/DZslloiSCrQrjxQ1yFy+ur3cf4ct2H5FRVEebuzvHrcTh7OJL5Oof+Q8IJcXWlrbOTP04LxEBLBytiooOxNzdHX1cXpUqFi7X1fx946f/vsItEosnANI1GM/d/NSgEBgdrlmzczrABEbhYWRGflUVPJ8FYM7O8AiN9fQx0dZEpFZgZGNLW2Ym7rQ06Wtq8fV+MnYV593v9sessf/65k/SyMmpaWji27QTbDqwnv7oGaZsUCyszJkdEdLPPjPX1aZZKMNE3oKqxCWdrKyobm+iUdhLo4UpG/nvcXR2pbRLKB11dHXo5O3fDWwtLK7l95BYnzn5HQU0NkV5evC4qQqlS0dSFaIz09KS6uZnHL1IICPKmtLSaD0cNIbm4GC2RiJqWFlpb2onyFw6Jq40NpeJ61i3ayrxNi4jw9ebBs2R6h/rxLquQxeNH8iQ3F0VXYDPpChDmRkbIlUoKSyuxt7dmSEAA15OSUcqVlOWUMW6cAIF1tLQk/l0mZsbC9GJUUBAJ2dn0dnfH1ECf+ta2Lom3ju59rW1qJtzLk1eZuTRUNTD9g8GcPHsLF38XyrLLCB8cSnWFUJK1N7UTERWITKmkuq4BSXM7H44bTnpZGY6WljzNyCLYy53UPMGcpiA5n+GTBEcwbZGI2tZW1Co1ng729PPxJSErk8KSCvoFC8KzT5IzSEtIY/qyCeTlleDn505tUzNudra8yynCxc0BlVrTzVI11NUl2NWVh6kZHP3qAMcu/QJAZVMThnp67PlsP/O3LsDHwaEb/JNTWcmgnj15lC0wOcUNzUyJ6UNhl+GOno426SVl+DkKTMx7D16xfM4EnG0deJSZTplYjIu1NSq1mlXTlnHo8hF6Ojp2A9S0tUS8zsrHxdGOmsYmgt3dUKpUiNvbGRYYyKwZG/hs9wqqu14/KTyc32JvYWFviYOVJXZmZmhridi4/DsWb1+CXw8HUoqKkXcIgd/OzooBfn4kvX9PjbiRMB/Pf7p8+O8ICjeBixqN5mzX67KAfKAV2KrRaJ79V+/v7uunGTthCUEDglg8djir1+2l3yTBRnxS3yjWffoDg2cNRt4ho6aklk0r57L1+yPMnj+O5TM+5tiV37tx7jpaWmzbcxxtXW0ihoXh4+BAU3s7LR0d9Pf15ZPVu/EJ9+HdEyGzcA1w47utKzhw+m8mjBlA7LUEKgsqqS+v58ip7QwfMJFhkyazdNlUQFCLViiV2Jubs3fncX4/uAmRSMSrggLUXb2LJ8kZVORVUFkgRPv1Xy9BIpMR5emJj3dvzM1tWLN3C9IWCcsnj+XrH45z6dhhvvxlT/ee+Hu5Ee3lRaNEwsHDF3n3PI2/r/1CTlUVe7b8jn90T9oaBdLWjo0foaejQ1mDGCdLKyQyGWaGhuw7E8vKWeOpbm7BSE+Pk138jS8+msXeo38xe9pI9v90hhEzh9DY1Er82Xg2fbsCf0dHtESC+hTA+asPqMivYNjMIciVShSdcn5cu4345zdIyM5mRK9epJWWYtU1wrQzM6O4vp74+4no6OnQUNXAps8WEhYYzZ9xV9DT0eFB3EvWL50JCDDnR5lZ6OjoUFtai7uvS7f/hkgkYmhgL7b8cJToYUIPwsvOnqUz1jB2/hSO7NpFWvYbYp+9IjU+FWdfZ2ydbTi+4yAz1gj8FS0tLfSN9BnVL4KE5DTeZxRz5tefsbR0YPikKcgknezbs57C2louXhJM0h08e/DRByOpbGrkh+9P8i4pGf+QUKStEu7fPcPFx3EEODt3l2j7Nx+lz/g+9OrtS/a7QrS1taksqMQr1It+vQPREoGrtQ3f7TsFCGY7Vg6WFKYUIW2TYt3DiramdsYuG0sfby8evE5l/4YdzF0roBWrCqsozyvDzsWe4fOGsW3hWurqyrj28hHfrN7FTye+5YOYEURHjwfg+fNYAgJimLtxETmJOVjaWfLVx/8H1Jy7PB6UwLmuH1UDrhqNpjewHjgvEon+X4sZkUi0TCQSJYtEouTG2nqe3buNk4tAMGlrbKO+vJ768nqqmpqIHBOJsYkhcpmCceMGoCUSYe/hwMkjfxPyf7H33kFR3u3/72uX3nvvUqQqXVARFUXsvbcYjSW2WKLRmKgxiYnRxBp7ib33hmJFARFROtJ777AsZZc9f9x8mXNmzjm/Z34zZ87zzDz3DDPOuALuvZ/PfX2u6/1+vfv1x1Jfn8dJSTxOSkJNRYXC9EIsHS1IeJaIqa4u1kZG9DI1QSQSoaWnhbWLNV6hffAK7YOOoQ65VZVo6WmSXFSEQqGgpqQaZVVldNTVcXLywczOjNqWFmpbWpB2dNDXzg55Vxe+YT40SaXceP8eZ3NzOuVyXC0tCezjiq2bLcbWxhhbGwv9ArmcjwUFTF/8NTY27qiqq3L32E0aW1tx8XfB23so7k72uDvZY2JmRFxsMi8zMlASiXD2c6a9XUpLWxtulpY49OmFupY6uka66BrpUto9TeiQyemUy3qOFY01TRTW1FJWX4+Jri5O3k44eTsJwTFFVZjr6eLi79wdHAO1lVUY62jT2NpKYXeISFFtLa1NraS9/4CJjg6D3dx4fCqSwaPGsW7Nbu4fFYJvT+66yLvkTN4lZ/K5vJy8ikqa65rZsXoJa1bNRllJiQ1/7eLSkdtEv05k+ReT+PP4Ff48foUtG/fTUt/C7pXbSHqRREjv3rx4EIO3nR05BSV8/8cxfvl2MU0SKU0SKX9sP8H4RTOoLq5m4bcbuRj5kg5pB2vWzyP2Xgyxd2JZtHUVgQGeBAZ4Enn2AZ1tnWz8+ndcHe2oLKxkwZoNzFy5hEHjB9AmbedVZiYxKRnkpxSQn1LAryvWkFNZyaO3CVi72nD08l5sXG0YtXg0uy6d5e7FJ5y79aTHY6Nvpo+tqw2pH7Pw93Nn65JF+IT54NjLmvfpWdS1SMiprGRARD8GRPRDVV2VG8fOsvr7L4iLuY9YWYk1WxcKDIV3H3l19RUrd/6AV4AbXgFueA70JDMzjqCxQRR/LmHD/p0sWvMDHz99ZuT88TS2thI+ejYnzv7EibM/8ff9a9g6OvHi4nNeP3iErBtQ8y+t6//dSkEkEs0HlgJhCoWi9f/h370E1isUioT/t+/v5++vuPHoUU86kbqKCqrd5+KU4mLqJRJu/vMIt2A3JoQGk19dzZYl29n7z06MtLX5c+955i8SrMdOZqYkF5dw7exDFi+dAoCjmRll9cIM+ebDVwQGeaHZHbPuZWPDp6IialuaeXrlJctXz+R9Ti7S5lZcHe1wMDHhU2Eh9iaC8OdjXgG9zM0oqavD09oaMz093mRlcXnPNQzM9Ok7xJvZ4YMpqqnpoRsPdHFBLBaTXFREY2srWmpqZJdX0Mfejuj3yUwc0p+00lKausv1o98f5syVPXwqLGS4lxe53RyElrY2THR1uR31Fsfetj1PZiNtbdplMpREIp68fs+I0EAs9PWRyeVklJURH5/KmjmTenIJyxsbya6o4OOrJAaN6EdrRwcl+WWY2Zjy+uYblqycRm1zC+5WQjbwnZh4poUO4HVmJvYmxhhp65BZVkZOQQkuDja8jf7IrInDickSwLP71/3G4+eXSSkuRtrRgaOZGcpiMYkFBYS6ClOZ568TegJ59PSEzeb8w2csmTiKrq4ucquqOLz/MktXTievuoomiZQ5IcLx531uDr1MTcmprMTGyIhfd55kxsKxSNrbCXJyokkqpai2Fj97ewAuvnrDvKGhnH/5mhkhAyiuq+PyjadERPTHydyc6M+ZvH/5iXP79/I6QRDBZVdUYGlgwJdTlvPz8Z9p7ejg52VbWbh1JSgUTAwJJq+qqqdv5GVjw8TxK9hx6Ds+l5ejoaqKRNpGZWElPj6uDHJ1JaeysmcC1C6TCRtAklBVjh05kFfxyQwO7IuykhLtMhnv07NwsBYYEhu/+JapX3/BmPABWBoYcP21EOzj1ssWkUiEm6UlRbW1PS5MJbEYbTU1XC0t0VZXZ8GcLdy8+ef/d5WCSCSKADYC4/7PG4JIJDIRiURK3X/uBTgD/3oG9n+v/17/vf5/v/53Y+M2AWpAbffL4hQKxVKRSDQZ+AnhSCEHtioUiv9lsqW2toEiYuRCgsb0Q11Lncz4z6QnCLzCOZu+RE1DDTdrK569fI+Dux3DPD1p6+zk5KV7qGmqs3LmeKZPXQ/AmYs7ya2sRFtdnVsPXrFm/mSuxMRiZ2qCmzpN71cAACAASURBVJUliQWF1DW39Pzs/JQ83t6NZtkvSxjo0ptVK35jx65VxObkMNDFhbuv4qgsqMCme4TpYm+NgbY2lvr67Np7ji3rFzBv5nfcuPkXSUVFmOrqcu3xK7ITstDsZhNsXDOP5Yt/prG+limrp6NrqIuHtRV5VdWIRPDmQRwho4MpzBeyeCcO6c+LtHTe3Ihm9bfzuHozCksnS2ytzLAyMCCjrIzinNIeqbaJjQnjBgVxPfI1g4K98bKxITE/H1M9XRLy8gl2dsZUV5fTjwQX44ggX25HveWrSREcufaA4H59qGluxt7EBDdLS47deYxILMLTtRcAL6PieXnzCX+f38Xth6858vPPxCe/xdvVD2/vMMJmhbNnw0aiPwlPr4zSUo5tPUX4/BE8PfuEKeumImmQMGt4KDOnrOHCtT8B8PEQ+AjNzbVcfPGYA5sPU11dzF/n/+L4HxfwDfdDrCRmcEBf/th+guXfCRSiAEcnPhUW8CYhBSs7c64fuIVbsBvL507kRXo6sY/imbdgLO8zhQlW3L04Bk4eyNrJs0jKSiazrAxtdXUs9PXRUlPj1I1HxN6NI2JRBPY2QuPwwOaj+A33p76ynoCIACYE+FFQXYOkvR1DbW3WL/mVzMw4jt8RpNSZeUVMHBjE2btPmRg+kPVLf2ftziV429ly9PpDBgV78zY+hcWTBBpURWMDC6evJerZOY7di8TH3YkAR0fSS0t4FZ/M21tvWbZlPrXd1Z2/gwP338SjbaBNL3MzfOzsaJRK2b7tMAtWTMXT2pqPhYV4dOPkOmSdyORd/LrzJEmx71i397v/rNwHFw8PxeKN27F3tWVg795ce/IKu25NuYaqKpcO3eTowe859TCKlsYWwkKE/5ebpSWbfznC3AXjeo4b8ZnZGBnq4mVtg66GBof+uUVomJAD2cvUlDefP6OvpcXFfUKqdfgX4Yzy8eaX3acJGOFPTWkN9ZUNGFsbMz0shE3fH8DJxwkrZ6GUrq+sJ2JgAM/iP9LW2s7U8EGU1tWho6FBfnU1wz09OfU4ClV1VXI/Cd31rxdOIb+6GjsjI7ZsPoC6hhrL186mrKEBP3t7/jh4gbKcMqYuF45AFvr6eNvZ8TYrCy01Adn99lkC4ycMIbeyksriKmrKaunq1ilMmxaOmrKKkOVgYoK0o4Oy+np0NDSobmoit6QcLR3NntLVz8GBsvp6jHV0OHT4Khu+mcvZu0/RMdRhiG8fLPT1aJK2YdR9PNl3/hYqaiosmTyK2x8+0NnWwc19N9lz7HtuPXrFhIhB5FRWUlgoBLp+OWoYMVlZ3L0ShZ27HYlPE9n263LGhU3l9J3TfMrKoyC1gDmzBJ9BW2cnF88/wCvEi/bWduor6xEriYkY3I+9v/9D2ocExi+awaKpwuuL6+rwtrNn7dZ9JLx4w/V7x9l//BoAlk6WVORXEH33GX0HCPfdytkKUxsTPOxt2bZqD739XSn5XEJWxgc8fYMpzsvl7qOTKIvF7Dx0Xvg+jpZMGzoQfS0tvly8neK8XMYsnERKdArVJVUs/2UxFvr6PY3Ge8ceMHDSAN7eisHY2hjfYb68vf0WdS11LHpZYO5gjo+DPWfPCs/I6sIqBk4J4ea+a/QJ8aEir5zWZil27rZ8vXQam9f9haSxBWdfARjs6O3I+8fvqS2r4csf5/Pbih0YGJgxdOZw7p+8yYy184g8HYlMJvSTSkuzCBk5EjM7M7T1tVBSUWb5xNH/OTi2uqp6qkuqibsXxz09LRZvmM2BbacA0NTT5P2bZ7S0rePMr4cZMmEUHTIZNc3NRL16j+8wX8obGmjo1hFE+PtwPSoaWyNj0ktLWThrDE8Sk5g5aAAikYi21nYO/XqOlBQh9GPH76t4/fkzZw/tQiTayOsHjxgyYQzG1saIxWICRwVy5ucjGBgIZ7umphrGhQYR9+AdfUP7YqqrS0GNoPd/cvYppht1+Rj1EfNeFry49RiAxV9M5OLxO4ybOwJnX2fUtdQ5e+YujTVNfA7x5MXt+0xeOo8bh4UwlVmrJpNdUYGWmhq6Ghq0tLVh7WLFlfMP8Q7z4eGp+yQnv0BFRVD4dXbI8BvqQ6tESmZpGQNcXZArFGRVVPDixmtknTL+/PUbmtsE+nNpfT2ZpWV42toQdes28xeM4/yeI4yaNY0n7Z10ybuor6hnyVwhYOfozzv5Yu1aVJWVMdLW5sbl+6iqq/EuO4eLe4+xes4kLlx9TEasYABbMDKMyLvRHNy5ga9W78DG1QZVZWXCJ0/h7z/O4xPmw6AR/fhYUABAS6OEmEfPSXgWg2c/YcIgl8mxmTyKqYvHYffGlrKc0h7G5PukTNZu3cef21dx8skzTt94THFmMcHjgrG1NefAph04Ofnx6v59AGrrypiyYCn1lQ0cOLWV/n2DmfblCupqbFB0KbBzciarvBwbI0MuHBQMS+7u/env40GXQsGju2c4F3WP9zHJdLZ1MmhyKGf/uEzEogjCvQVtxnPdF6TFpDN+yRjuHL3PuwfvKEjPxcTSnHWr5xD54ROqyspodjM2Yl8/RsdIl+kbZpH8MpmHd87w67mTXP/rCguex6CsrEqfAb44+zoBoK6jgY6BNi8jbxLo+BPDp42js72TkGBvzu/5m4TIBAZMGkBQoAAKio1LJulFEu+evSRi1sSeadu/cv1bVAq2vZwUg4fMInRaKHPDQgkNmcKM1cI4aenkUew8fIGxY0PJr66mvqaBWWGDiMkWmk2hviF8TH/fM1PXVlfnbnQcGrqaGOhoY2tsjFgEp47dYsf3i9l97AqWjhbkdD/F45++4eKtQ7zOzGSCnx+7T11Fx0CH/JR81q2Zy0DfQSxY9y1fz+9m8XV2cvFOFCtmj2fi2K959PgEJd3UotaODrIrKmhpa+PJuSjUNIUn87JVMyiqraWfoyM+Hv2wtXXnl+M7KKmtY3JgAD/9dYbntx6w9BchVTnUy4PalhbM9PTQUlNjycLtSCWt3L6zn6Lamh59QEOlMMP+Zu4kxCIRnwoLcbeyokvRhYaqGqefPGfesMF0ymTkVVex+etdAOw7+QP3X8YxM2II+49fRc9Un6BAL2Ljkpk+eghmenooKyn1gFjvx8Rz9/Btvv1jFdEvE1DX1iDtbRprv19AUkERJnq6FBSWMTJYeAgZaWtzJzERSaOEspwymmqb2LFpMZPGr2DxjsUoicVUV9czwMsNEHBptS0tKIvFvLjzhkmzRlBYXYOHjTXR75PZtWYDC7/dyOK5Atj2XW4uf63dxfwtS1gYPgxJm5R/Hj+nIr+CmtIavIf0JfZOLP0nDgBAWUUZSaMEHy8XIh+8wdLRkqt7z2NmaYPfCD+KM4rYunkxWmpqnHksHLE6O2QsGhuOspISf569wesbLxi/fBIpr1N4cusqP53Zi7WREZ3dXf0/vzvM0p8WkvrxM4aWRrTUt9Da1EroYH9i4pIYNigAO2Njzj0QUqvUtdTJSshGQ1sdhQKMrYxpqG5gUFgAfW1tOXz+NvfOXCVi1iRAqBQ+Rn1ES0+LDmk7uZ9yaWioJihiEM11zaxfN4/wgWPo6yNAYlKT3zJq+kwc+jjw4tILJn8ziRnBwf85xwebXk6KQ9evkpWSS3pcBuu3LORptDCwKMkqYey0MHJLyom+Ec3uP9YSk52NklhMY2srQU5OfCgo4M4RoSz7fc9adDXUic/Nw0hHBws9PcoaGrAzNkZDRYW4nBx0NDSQdjvw7IyNOfD3Zey9HFBWUaK2rI4lM8eSWV5OW0cHvS0suPzwBdJmoRKRdcqZPS2Ct2kZmBoZEO7lxbof97N42VQO7D7HnGWT0NHQID7tc09s3KKx4Ry58ZC85DwWLpuCoZYWVU1NqCkr892y35iyZgqhXh48eSdQdgZ4e2Cmp8e+Y1dZu3QGqSUlOJmZ8dP2I3yxfArFdXXkpRWg1d2zKMkqwcjSiKQXSSirKHPiyA98LCjAv1cv1m8/iIOXA7NGDO6B0XbK5VQ0NFBSVUN7Wwc+vR25ffM565bN5P4HwdlZVVjJiRPbAPh2y36GTRc2iz421vz81z/8uHYBM6aup61Nwh8ntnHi0DX8woWnfEuDhLbWNuSdcpRVlflyYgRRqamM7NuHv05eZ87UEehraTFpzGIATM2tGT5/ODf2XWXC15Nwc7bn0tHb+Az3xd7GAj97ey5GvuRzvKCer6+s56/9Gzh94zErZo1HW0OTRSt2cPDPDSgUCnbs+4dNK+fwvFt4dOGPq2zZtZxV8zZx5+EJ3mZloaKkRKCjI50yGRcePefl5Vf0DuzNkNGCPubFgxiUVZVJePqOWZvmMj7An32nruPo40ioqysHj10jLykP76GConHmhGFcf/wKRzd7GhubqauoR9tAGztrc8z19Wnr6CA69hOrZgpHxIyyMj58ziHC34fXmZlYGxriaGbG/dj3pMcIv/eUuSN58TxeeI9sTFDTUMPc2JAwDw+apFLkXV18LCzEwcREGHe6uCAWRLEoi5WQd3Xx++GLeAa78+DEI/45sf0/JzZu9+4/tw2dNIGU6FRa6prR7mVC0sskastrGTYllLcvPrB40kjOnbzN2IlDsTEywkxPjw6ZjMTsPFysLHh2942g4zfRwMTIgF6mpuhqaBCbk4O/gwMPPn3C0cwMaWcnj5/EkJ9fSkFBGV1aKqAs5sOTD4QMDyTyQhRhI4JplkoJ6NWLZ2lpvLn1lv5jgjG2NKaisBKJkpzGmiY+vPyEp7cLGGtib2LMh4+Z+Pq7o6aszM1/HlGSXUJ5XjmhQwK4f+clbv3cSIxPQ9dUj7cxn3BztkevtwUPjj7Aqq89STFpNFQ1MDwkAA1VFZpUFTiYmPDkTQKmpoaIDTVp6ezgze0Yij8X01jTSHVJNVPnjaK5vY0HFy6xbMcKqpuacDQzpUsBulYGyFVElNbXk1taTklNLf5OjigAUwN9Lv99C0tPWz6++ETfQHfK6upx93bGM9gdFwsLxGIxh/46g6GVKZMHBXM1No4umZw6RQeu/d2Jun6XpUvmEPkohvHjhmBhZMjofn7cvfeS/JR8rF2s+VxSSl+nXtx5HoNCAeFBvrxIT0faKsfc1ooBEwdw/a8r6Ojp0y5tp1XWyeWjRzi17zfisrJJzsmnS9bFsIhgPH17I5F18DYumdyPudSIO7E0ceP4ge8JnjQJW2Mj/t59Dq3e5jy7+pLc1HyKc3ORKMDQ1IS8mhryM4tIT8yitLWJhJTPpMdmMHXlRMYODebx01jKSqpok7ShoqbC8nXzuHHyAWILHQoyCrm09wRyHV1qSmqQy+Q0VDdQV1GHf38vXkYKFeqhTb8zaMIw/lzzI+paxhjbmHBm31WUlJQobm0iKa+AlKQs9E31eRoZg66xLknv0skoLObUz/vR1TEGFLx+EMeNs0dIeP2KweNGI2lo4dm1VwwfHsTJW5E00Ulrezvv3qUgUlemtaODmPTPpBeXCMlaXTIennuCiY0JqTGpZGXF/+ckRDm5uyvuR0Uh65LTJG1DS02NxCyhvB/bz5/LT17RJmljwogQsisqsDI05HFULCPCgsiprGSsj0/PeTM6MZWcjznYuNowenAQWmpqKIlEQnmqpCQo7e696fH7jxsVwvvMHBQKBfPDBnMrIQEjbW3UVFTolMloapOipizIZEHQxHcpupB3KciprKSrqwuxWIyNoSG9TE2RtLcTn5vb02sAKM0rRy6X49DblqIcwVDz8MozJs8diZulJf/ceYK1kxUe1kIz89yZewwYFYSkvZ0pgYF8Li9D3iVQi1bMXkdw+GCCIgJ7RErjfX15kpoqJGTLZJy8cI+5M0Zx5XYUy2aPR11FhYZuNgIIDdf/eR/vJXwgzEsItL16/SnrlsxAQ1W1J1QFoEkqRUksJibmE0oqykwZMYhvFv/K2Yu/kFhQSHJaDqGBfXpUpQfO3UZZRQk9U30GeXvy6w9HOHH0R8aNWcaWfevxtrNl8Vc/sXv/BgB0NdTZ+MNBvt3wBa/TMzi6eS/r923mzf1Yxs8YzqXjd1izfl4PhCbQ0ZE9hy9h7WJNWW4Z36+YS1RqKqN9fKlsrOfigxeU55dTli1Mc5ZtnsehHac5dvxHUotLuHf7JYouBdmJ2Xz88JyH0fdJLSlBSSwm/rlQrU2cHNbjlE1PFT6L2gbaFKQWkJecx5ilYwh0dOxJxXqamoqehgbKSkrExacwITyEy7ee0j/Eh8rGRrITc1i7aCq9HQVK+bgZi1i1dg57fj3N3BWTuXf1GXlJefQd0pfQsABqWlp4dSOasXPCAUiITSFsaCA3rjxh46q5TJ+4HOe+HviE+ZCdkI2dhx2q6iqUZAkq2o/PE9HR1yFobBDBfp6oKCvjbWf3n3N86O3hoejrNZpz536hUdrKwtmb+OPoFgD0tbSobW6mUy7H2dyMjNIyzPT0yKqooLSqhsjTkVw4+yuSdqGJJu3o5PstBwmdFkpDdQODA/oi7ejg0tkHrF01mxMX7vHlrDE9FtPTv13k1OntlNTV0SSVoqepyZpFO3Ds48i6tfNYOHM9xy7s6glG0VRV5fzD50wNH8TrzEyCnJxoaG3FycwUVWUVEvPzMdLRobKxEeVuYUtGYQkzBw2gtqWFSw+eE3Uhkn+u/MHcqWu5cusAHbJOViz+hQsXhATj7IoKYlIy6O/lRqdczrvkDI5v38fNx+cw1NaiuLYODVVVWrobh0Y6OoI5S0MDJbGYTrkgjFn5zS627viaLkUXBdU1PLwuCHNCx/bnc1oe38yaSHlDA8lFRfR3cWHl8p3s+msd2urqyOTyHtGUub4+u/f8Q9iUUCz09EnJK6Q0qxRHH0eczczIKq9AR1Odonxh+jBigD+aqqrkVFZyYOtJjp3ahrqKClFpqTRJpJz44W9evLjQcw8S8/Lx7eXAp4JCZDIZY/0FSreVoSHH70XSUNVA7L0YLlz9A4BnaWlUlFZjb2/J/fNP+PPXb5B1yZG0t2OmZ8D1+HcADHUXvBKJBQU9PZ/ikgoaqxvx9OlNZU0dHva2JKZnM21oCJWNjVy58RSANkkbO75dRGVjIzUtLVQ2NuJhZYWepgZvu0VadsbGPROd5Qu2ce3Gn+y/eJu1cycz94stnDn1E5L2dg6eucm6RdPQUFXlQ3e0QHxyJinRKez+ZTVffbWd/hMGsGhsOB1yuWDySs3Ez90FSwPBtaksFrNp0342b/2K0aETOHv/PC9eC7gAL9/e1EskXPn9Mj8fFEbz+dXVvL4Xi+9wX15decXOX1ZiqK39n7Mp6OoaKZZt2IF1b2tSolMZPH0wp7cJjrhpa2aTGf+ZXT8uZ8NPhwgZ2x9Pa2v0NDQ4fvk+tm62RHj3ZcfOEwDMXTSe6LgkvhgfTko3aj29tJSAXr2QdXWRW1nJ6aM3qa8UpMGrtyzgRfQH3j14x4z107iy5xrjV4zH2sgQ/14OXI2OJT0mHWsXYUTaWNPId0tncfxuJNr6WgzycievqpogJ0cuPH3FgpHDOBP5DEQiPnVnQ0bMCuPCH1eZ8s0k6msa0NTVojC9kPqKegaNDebawduEfxGOrENoWo3r509qSQkikYjeFuaU1An8xOqSakRiMdmJ2VQXVUG3q3Li8vG0NAvhLUHBfVBXUcHFwoLrr96iqq6KSCRiXL+Ank3ETE+PpMJCHM3M2P7rMXZtX8kPvx3DzMGc8NAAJG3tlNTX42tvB8B3q/Zg5WzFlg1fkl9dzeHdF9A31cfWzZZda9cTlxzHkrmbGfnlGAAWjg1n3OivaGqqxdLSmdFLRhPg7sKLt4lc2nuCTX9vx8vGhr//vgKAub05h7Ztx8TEFm1tA7z6+fHiwR0iX9/mQ0E+FeU1xN6J5aedgtV6/6HLaOhocO3Ycdbs3kZhehHJr5MYOjMMGycrpgQGsuv0VV7fEDbBgoI0tLR06e3py7fbFjE9fAYrf/uBz+8/U1VYiaO3I8bWJkwZHsLQYCG7UVVVg5W/bWZAXw9+XP0ne45sIi4nh5Q3qbj2c2Xz7MVMmLWIqQsE63TkvWhc+7nS2d5JRmwG5XnlaOtr4RXaBzcXe84fvEHQ2CDS3ghGvKSYBBxcXJixYhJJHzK5dewi24/tYM/6vUgkjUgkjcxZtxR5pzB2DhscwJOoOD4++8jW3at4m5yOSCSitamVnMQcxEoifIf5MrSvMH14kZpG0oskDv66gS+W/YiFo8V/VkKUvrEBGrqaFGUUM+frSdRJJITPFj5g7a3tXD99hIVfTUJZVZmfFn3H/edXOX75PuHDgrh1XegW79q+AhCyCj4aaHM7Nh4zYwNic7J5fS+WPuttKauv59qVJ7RJ2nj6ULBrLNk4hyEhfkSeu0dpfjl6xno8PPYAE1tTgret4NPzT5TnlffYmkGwyLY2tdJc14zZgGBUlJQ5dPEuuka6FFRXc/73k4xdOJXSbCFbItzTi8JJpfS1teXHfbdQKBSMXjoaFVUV/OwdOFZVx5Vdl+ntLzD+y/PKmT9F+HDGZAsCnPjH7xk3fRgdcjmfnn+ivqa2J0C1pbmV8UEBaIUKVmktNTXi8/IwtzCmpraRuopamqXSHhm1QqHgQ1o28q4ukmM/kFleTmNNEwoFpDmW0tvCAksDA2TdsXQGZgbYugly2ui4JNyC3Ti/528erLqO+pEDKInF/HRwIw8eCN63ts5Ovti6mHM/n2biqgmc2n4E6/2bOPnrX2w+9hsyuZxDBy+z43uh0ZhfXY2K2s9YOJjTVNdERX4lZ+6e4XlqGtqaGpzYvp9FW1f1IOrnLRjLqnmbcHLyI/ZOLAf2b+TRoD68j/qAjZMVu05fZcOC6YwZI6A8Jn+1ACcfJ8L7evEqIxOPPgO4uvc8KSmvGT9tMfkpBSxdMAlJezv9hwiLfOCkgUwN6Y9YBJ8/JzB/ykoGjRtGXVktJ344xF83/iHMw6MHLLPt0SsUXQr6DfND30wf76HexD+KJyEygQmhwfz222r0NDX5ozt1S1tbD7dgdx5ejkJZVQVlZRWuH79HxPwxOLra8ikmjZhbb1myTZjC3b37koq8ClKSojHU3sw/vxyhsbGGCw/P8/3CL/jr2lXO7/yHx2bC6Dwz9T2WVk78eeU6ii4FDdUN//J6/LfYFDraOvAK9uDRmUj2/3CCX/av4+peAdxq6WSJhYWjkMZTUMXQCeMprK1lwuhQFAoFw8YMwERXh7NRLwEwMTXEysKE/i4uyORyOmQymsPaqGhooLeFBV8tmMCP3x3AxkZYgA4mJuw7dImqqiJMbEwoyy/mq5++wtnMjIZWCZPnjeTQ9tM9lYWkUUgzKskqwb47h+Be9Dt8AtxJSsxE2tmJbS8XpM1SdI0ES3duVRV3j92iOKuEkKkheLk5Ev8+FSdPB56lpJKd/Z69V49z57QAlvEe6o2RtjYnHzxlzoghJOTl8eWiiZw+eZvyvHJMbExoaKhCSUm4fTWlNZx78Ax1TTUsrExwMDGhtK4OOxMTkt+lo6GjKTRmuz/ATVIpowcEIBaJUCgUSNvbqauoI2SK4C1IyMhG1iHjqzHCeba6uJr+E/sjEokoSM1Hz0SfgJAwcioreXX1Fb0dbUlJy+kJX2mXyYg6G0VlZT4WJka0tjbhamHBwGEjKc0qYcggf9JN9XtyGdRUVbh28Cwz1yygsrCKy0cO09HWgbO/M/KuLqatXICro93/xcvQd0AAr+7fZ9zXG3mens7L669prG5k6Gp3zvx0mjFjlnL//mEArBxtaalvQVdLE3crK2qqyoiYOw7lSyokv49l3BczeZ2ZyXg/P6q77d8d0g4Ka6qxMzZBoehizncLMTMz5PqhO4RNHcW7x++pq65nSqgw9hw5fzyq6qp0yuWkvU0jdLA/l5KysHV1oKCmhrTsfMYP7EdGnBAeU1tbjpmdKQqFggEDvHnzKBJzB3PuHr+OZ6AvLfXNOPTpRVGpsIkMGd6PdpmMu1dPYKStTcCQQVg5WZKUX4CbWzBvbrxhyS/LKC8SXm/lbIVYLCLuXhwRX0b0RBj+K9e/BaPxv9d/r/9e/z7Xv8Wm0Nbaxq1Dd6ivqBfSoZLSeqCnahpqmJnZk1xURNL7N/QZ3AdLfX2Sioo49vc10jLyKG9o7CEJh3l4UFxcSXxuLteev0FdRQVzfb3urEEZNyJf09nWib6+Kfr6gtMueGQ/1NW1yEnMoawsm9yMAm7ff4mGqhqfkrMoKviMupY66lrqiMQibI2MMLM3o7asFmUlJcytTFAWi0nuVo35j/CnsrCSjOQEMpITsNDXx2dwAKGjginNKuVdnOCMe3UrmvqKehwc+vIpPp3ODhmdHTJcrSx5/fkzbi72NLa2UlBWybOYRGx62/DTH6v59OYdjY3VtLTU0dJSR2d7J0F+HtRV1NPY0oq6iioDXFzo6OykS66gua4ZhUKBpL29R7t/6e4zyurrkcs70VBTo6qimIK0AlpbpHS0dVBbXsvn8nI+l5fz7t09Xl4UzudfLp3Ch6h4zOzMuHf1Gc+fXiHIyYmXl19SlltGWW4ZbR0dWDhaUF9fyW+rf2ftvi0oUODaz43om9FUNzczbdIwUt+kkvomleg7b7G2dWbb0qVkxGXw09kDJD5/z8yBA9BQUUEsFvPL6j+4+OoNF1+9Ie5eHFbOVtTWlaGsosyFP67y+WMKyzbPI7GggIKCNPyGB7Jk9U6WrN7J0X2bUNNQ4+Luq+hqaKBQKMhPzsNncCBz1i8h6VUSmmpqxOXk0N4uob1dwr6N2/lcXkFkcjJaWnoEe7ry6NxTOts70TPRI/1ditDLKBK+JI0SMuMzae/oRFNHk23LfwHEGJgZYKKjg6JLwdusbEZ9NYpRX43Cyc2Lm/tu4ubtxLFdF9DVNcZvUF+sHXqRGp9IYU4One0dZCdmk52YzaekLE7tvICfXzjSjg6BWiUSYWVkNKLQCQAAIABJREFUiHvfAAZM7E9VWQ0RAwOIGBiA91Bv1DTVSE+K5/Gpx1zae+JfXo//FscHAL9wP/x83Uj8mIlIJOpBaa1fPos7fu+pk0jYd/kgbZ2dSNrb6WViQrySGHUtdYKcnIh+Kog8rrx8IwRxzNBHLpNT0c0+lHa08yA+kT7evYm7F8ewmYIxpU4ioaK0mkXbVjN/+BBknTICAzyRdnT0oMoX71jNMB9hlCTrkmOopcXcySN4kZzKHyev8PWcCSgrKeFz4DsUCgXWjpZYOpjj5CNIVLf9coz6ynrsTUwocLHCwtqU948TcO3nylcTImhpaMG5ryPDhgYCYKSjzbXLkaxZPouPBQVYm5vQaqiHp7U1J0/fxqufP30Gf9nDgJw9eijP0tKwdLRgtK8P2389xo+bvuKf/dc4sFcY+73Lze3plGurq2PvZou5vj4LflyGuZ4u+87+zo0bUcwPG0xbRwcKFPx9SRCEbT95mLykPK69fIOPqxOjFo2lMLWAL74cT3trO/nV1ZjYmLBu+SxAEEfFP33D/G/WIRKLUFdVJbOsHCVlMVKpEPZaL5Hg1C3h9Xbuxao56/h680/EPX7DuwfvEIuVKaqtpY+tLQUFZYz8YizzhgpqPWVVZRTyLqYsWIqkUcKWXcu5ces5h3acZsnmeWhp6eLk40RLvWAm2vz7MX7duIRDt+7T3NaGsaklAaMCqS2t5fnFZ/x8cD2fyysIdXNjj6ogHQ8ePJKi7BJWz5xA2TrB5/D12lm8ik9GWUWZ8vI8Qo2HIu6eMFk4mPPlrDE0SaU0j/DH1s0WHUMdxgwNpkEi4ciPe5i56isedePSXL29sHaxRk1Zhclfj+fRuScoi8UYdueLuPZzRVNHs+dIFuLlTp8+znx4n0ZRbQ1KSkrom+pTXFlNvzH9kLa0YWhhiHY33LZd2k5DVSNdcjlmdmas+n4/AY4P/qW1+G9RKSgUCgpSCyhvaEDUjfRWVVVDVVWN2OxsnG0ssTY0JCk1Gwt9vR5slkUvCzR1NFESiYi6do+oa/eYPnggi1ZNJ8jJCQMzA2yMjBCJRDS2Spk9OARddXUW/zAfv0AP/AI9aGqR8PDEA+yshVShthYpJjo6KIvFBDk5oa2jibRFSkpxMSnFxVQ1NtEhl6OuokKbpI1vF07nu837UVVSIqW4GG11ddSUlSnKLkHWKUPWKWPHD0tRVVfl963HcHCwwlBLi+93rcB7oBevMjPRNdTBXE+PRqmURqkUaUcnoycN4dCJ63jZ2FDb0oJYJKK8oYGFCyYwfPoQRCIRKuoqqKir8CI9nSAnJ3KT8sirqmLX9pWIRCJ+2bmK+Nw8qpua8baz68lxEItAWUkJQy0tVNRUEIvElDc0MGHiUNo6OniUnMzNd++ZNCqUSaNCqSqqoiijiMmD+lPW0MClPadZ+fUMxoWOIf7lS6JiE7l16SjVzc1UNzcTlZyChoYupramxNx/JSjusgqZPVIIb5V3dWFvbMz66bNZP30204dP4Ysty3h06QYyWSdfLpmMRNLAw1dxRH1MZkR/f6Kvv+b8S+Fr7eRZeNjbYutqi4+XC6vmbaKptoljx3+ktaOD3p6+hPf1YtDY/gwa25/cT7kcunWf5RPHoKaiwpQ1k+njaM/McWH8fXobT169Z//6Pfx04B9mfjeHmd/NISctlezEbObO/x4HZ2v0tbT4XF6Bj5cLE0OD0NExZP8PP5JdVEp2USmmFsbUt7by5PV7Arx68z4yHq8+zuhqqBOTkMr6A9uoLq7mxr2j3Lh3lEWrppOdmE2QkxNZKblMXTSWIe7ujJ4xDBc/FxIeJxAS1JfO9g462zsorasjIT6NPr6uyORdTA8LYVQ/PxKjPhLq34cZEaF4OwhUbVNdXaYP6s/qtXNw6NWH3E+5JKZn/8vr8d9iJOnr56c4dOUKHlZWyORy3mZnMdBFiGWvbWmhsbUVRzMzmqVSCmpqUFNWxsFEICk9SU7BxcKc7O6Z+v0j9zl7egd1LS20y2RMipjL5sM/kZdZiJauFn4ezvjY25PWPSOvbGzEzdKSts5OyurrcbO05PGnJCyNDLEzNuZFYjIRgb49nXuRSERlYyMmujo0t7Xz4VMGvZxsCHJyokMuR1ddnbKGBjpkMsTdE4v/cRtK2tv5WFhITXU94QE+Pej5vKoqYlMzmTlEAHhqqKpR29zMow8fSYtNZ/78ccSmZjItdACfCgt7nrT/c7W0taGppsrD6PfMGxXG4Ut3CRscQB9bW7LKy6lpbmbjgo18f3gbAIZa2pjp6dHY2oq6igqWBgbUSSQYaGqira5OS1sbsi45GaWC+KeXqSm1LS24WVqSWFiIqa4utc3NWBoYUNnYSGl9PY6mpj26g96WluioqyFCRKNUSn51NdKODpprm1g4ajjH7kXi2MsaU11BQKajoUFRTQ0e1lY0tkrpkMmISclg3rDBDAmdxoIty3B1tCOwV6+ez8SSeT9w4NRWTl+4z/qlMzl1O5Igfw+Ss/II7uNGRmlZDyRGV0PgeqqpqOBsbkFZfR3JRUXUtrRgbWjI1VP32bF1GVpqajR33+e2zk6eJCYxe3AIaSUlXDz7gC8XTiAxvwAlJTHhXl4kFhRw/YRQTfkO9yWinx/Txy5i2W9rGeLpQVxODroaGpz45RyBIwMQKYnpHyQYqHS7Q4b/ufyQgJC+OJub8zIxGV1DXUZ5e/PPfcG1mhj1EYC1a+fy5P1HXOytKayoQi7vQl9fh6SYVIIG++Jpbc3d13GU5Qj3zNTWlPFD+9PcJqVLIehrnM3N/3N0CuaWtorF67dibG1CaVYJEZMG8+jGSwBM7UyJvRPLvuPfc+Dvy5jamzFicCApxSXkp+Rj527HQNfelNTVAWBrZMR3a/aweNNcpJ2dDOrdmyepqYz18UEml3Px1RueX3hOdoagIbhw9yT1LS2smLWaaSsXkJ2QRUuDhKCxQcwbFcY/D6IoTCtEQ1soy5pqm9i5dTm/HjjHkIggPG2sUVFSJrO8nA+fMpg9cih/n7+NX7AXDy8K5pegsUHkp+Qxe/IIHsUkUFNSQ1NtE5+i49my/zsuHrmNhaMFVk4CrFZDRxNjPV2CnJxobG1FRUmJ87efoqKmgrKKEnH34miqb0BJSaAyj18xAQ0tdWyNjVEWi5ErFJjq6nL48FXsPeyQtrSxavYEurrvdUVjAynFJQxxd2fdhj85+OcGVqzdRXl+CSt/XYa2ujrlDQ09OoUt6/biN8Kf0UODURKLufP0DRf+PMrxG0fZ+e1Brl7bzdG7j0mJTgHgr51r2HP6Gqd27WZQ2Hi8w3yYM2ooG7/bh0gswtzeDN9Qb2wMhVK5Qy5n+dRl9Hb3x9HHkbLsUiwcLVm/fBZl9fWcP/+AysJKNm9bAkBRjSDEunh0L1uPHsLOzoL30Um0S9vRN9Hj9O978egzgJoqYYEoFAqMTS2ZsmYyoW5uWOgbsGX3cZ7duI9YLGbk3EnMmjQcDVU1bE3MABg2bD4HzuzA2sCA0JBJ7DrzB5+Ss3qmPx8iE1jx45f0sRH0KytX/Y5HiCchwd5cu/CY+sp6VNVU0DbQ4bs18zh18zFTRw1m/XKBw/nk8Rm+WrsV9/7uxN2L49zxnfx5+SqRpx8jk3VgYmmOs78zPv2EXInqugbiH70nPeETWw5s4t7lKCSNElZ8O5evZ36DoaElfUO9mTxlGACPnsRw5dBx1NQ0Gb9wFtJmKT+vX/Sfo1NQ01JH0tRK2atkvt+2mGMnb2HrLsiKIwYGEHXxMdcjX1NdXI2pvRnOZubs2nqcuWumse+7Q3R8M43hvsIObKKjg2s/N66feYj/CD+KjGtxtbDgzefPOJubc/vALYzMjdDTMwXg0vUnbFg8Ay//IMztzUl9nYKlowWRZx4zcUh/Is88pKOjne/3fQtAelYBT1NT8Rvszd5NR7h8bTdyhYKYuCQaKht4lZmJqa0p5/ZcoTBXGD99t3EBVoYGWBoY8Pvqb3F1DcJvaD9mbpiPpYEB0hYpjy/exCdYMOOY97LAZlggqkpKGGpr8/22v+ls72DnL6tolko5vuNPvLz709E9Zhrbzx9dDQ3icnIw09NDVUkJI21t+g7pyxBPDxK6VXSHLgvW7GXTxxB9PxaRCPIzPnP60TM0dTSwcrSlsLickUH+OJmZUi8RehatzVIK0wrJcrenprYRXSNd9PVN0dPUZODkEBpbW7G2NcN3qUCjTi0pIXxYEIVpU3HwcqA0qwStiWrEvXrCoWtHcbey4o8D5/FfKoBbm6RSvt65kcqCCjR1tRg+egCFVdVklpejq67OuYN/smDNBi53qw3DRwRT8rmEaV+u4Ore82ze/x3Ndc2oqKng6dOblb/9wNW954notn7nJ+cRMCoQR1NTkouK2LL7OD+vX0RIyFTCZ4wjIzYD269mcvvDB37sbshp6mlirqdLQn4+JiY27N18jIKCVBQKOSUlWVx//QQTHR0S8oT31rq3NS+vPGPwAF9qS2tw7+/O04uP8QwWDFODB/qioapC4Eihb+Ti54K+qZCGJmmUsGD5Dzw7F8XAiQMJCPQkt6ScDTPnMn2B4JzNTExGWVkVAwMz7ExMeHLzGhJJAxu3LEJFRZ39J39k/pQVlHwWtDHxb5/i6tqPkV+NJD85n7jI1//yevy32BREIkHVZu1iTVFNLX5DfaguF4Qq77JzqKsrZ3iIP5ImCekx6VREhOIV4oWZnh4BI4Lo42iPQTeuvLq5GUmThOBxwfS1s0XS3k5aUTET+wWipqzMwIkhlOWW8fal0HT5cdhG8qqqKMzKpbW5H8bWJhR/LsFvuD9G2to4efemS97Fh0SBFdBc18ys4aEcvXKfUYtGo66qSoNEgoWDBSY2Jgx1d2fLtcMMnzec6BtCdVEvkZBXWkEvU1OGhE9FpCTC1s2W8rxyDIICUHQpsLZ2xi1YkOU2VDXgaGaGpL2d1o4Opn85hsf3oknMzycrtxjvgEG0t7aj6BKe/OmlpVgaGODdDZSVd3WRU1VFW4uUj4UFVFfW0iGXM3a4MFNv75QRMiaYfo6OGBiZMTE0iOzEbJpLanBxsEEsElEvacXWyAgAOw87nH2dcbeyJqZZgpKKEikprzHV1UUulwvHIF09Xr8RdAdfTh7J09RU8jOycAtyI/1dOhWNjVRU5FPb0sL9+A/UV9T33DMlsZgPkQn4DhdclleO32XojCFUNDTQrKaGgYE5GjoahA8TSE1menpkZXygrsYGM0sbAh0dyfEu4dmFZ7j4O/P5/WdSUl6jfEmopHwGC01Fcz9vsisreXbjPiEhU4mOvk57eyu+/QfSJJXiZmnJkVsHAYiYPw4NVTU8rK0pK8vF3t6T0NGjqSyoREtLn8KqarxsbNDT0ADg4LtMvAf7Ud7QgL6ZEOFnbmNNfXkdjdJWWjs6MNDS5t39OAAy0uNY/uv3tEvbMbYyJuruNXr3DqA0pwyb3jbkJOYQGDiGfqOETURNQ42qoiqSPkQj7WhHImlALFaiQSIhKek5p87fQ0tLH7Gy0CZUKLrIzIjDI90dG1cb1DSH8/z5+X9pPf57bApiMYMG+tAhl5OamceQgL5E1wgKLBM9XYZOHEttSwse/q64+rqQXFyEp48LnTIZg4cF4mppQU6lIDqJjk+irrwOayNDTHR1aGyVMtTLE1UlJaqamhgRFsSt5ucMjhD4CA4mJnwoyMfJszf+bs4ourpwCXAhwN2Fd7m5DJ8cSm1TM3ragk25oqwaZbEYZVVlArx68zI9HXVVVYZ6elBWX4+WmhpBY4PoY2eDfLwgFrpx+zla+lp8KiokdHooRoa6JMWmY+ZgRkVjA7ZutngM8MDBTKhePiQJROT2zk4i+vZFR10d0bhBpH7O4/yu4wydNAo1LXVU1QT4rLGODjcfviJiWDCdMhmJGdlYWJhQmF6Ei4MNajYWKBSKHh29TC4nyMkRDVU1AkcFYqClTe8AF2SdMqy7G7NKYnFPRoF7kBuuTna8Tk5DU1sDV0tLHB29UVcRFl15QwOyri48fYQ+UFlDPcVZJTi4uWDjZIWJtSnWhoZ4eobQ1tmJg6UZCeqqNLYK53c9TQ1inkcybFYYDXVNPL59kV7ejlg5W2Gso8OwCZNw83XByVxQ63V1deHpG4yiS4F3mDedMhmtza18/PCcDfZLeVL4hPHTFpP8PhYAKycrnl98xuzxw7A2NEQsFhM+Yxzt7a3Exz9g/f4fKKqtFQReHYIUXNdIF0l7OwqFAt/gQfQb0w81TTU+Pf+EtYs1VYVVVLs0Y9FtiAr/IhwDIz101NXpbO/EzsaCTwbaWDgICeK3LkTivsGKqCgh8cnU1A4vN0cSDBMYNG0QKQlxaOvqkfE+BQcvBzR1NOk7yBdVdeEeuwW7ETAygObfmtBQVcPFJQAnT1fqJBIGD57Jx+cJjF82iXapYNeXd8rJz8qkoqCSsJH9sbU1/9fX47/AaPy/i43bBnwFVHe/bLNCoXjY/XebgIUIjMZVCoUi8n/1S9g7uyiCAiZhYmPC/CUTiXwai6mN4Lhrk7Tx5OxjvvltOXu/O0TolCEEB/clI68In96OnDlyExtXGzx9BGxVRXUdfZ0cSMrJR9GlIO1tGhNnj8BQS4vS+npun35IyNRB3Ngj4NhGLRlNPzcXftn0N3YedlQVVWFkYURJVgk/7V79f7D31kFxZf2+9wencXd3JxAshAhxd09m4p5MfGYiE50kk4lOZJKJu2fiShIgRgQI7g7BHRroRvr+sTncU7eOPHXrnnqf89ZZVV3YZnf37r3W+slX2LHxT2rKq/HpJ+xihemFbNy2iEvXn9BQ3cDseWO4/ygSNz8XXt+KZO26mTwI/0BOQi6pX4Qc+/GTk7xOSUEskXDn6D2aG5rY8+dPvElIRlNLnSdnnlJdVo2DjxB+L148CZlMxvU7YQwa3IPPX1OIfh7D0LlD8LCw4N7jSD49/th1/eZtnY1IWZnKhgaUFBQY5u3Nu4wMXM3MePIhmoyYDCbMGEpFp4FNf3c3tv1+Fmt3ax6ffsCu4xvYsfowI5eMRKSuioOxMbVNTRhoagKwcclu7L2cWLvme2Ly8nh09im2XrYoqygTHxHPjr0/8OBVVBeUdvL4gRRWV3N65yVMbE0wsjJk7dzJbN1/lh6DBCSlvqYmSZlC6F2YVoiBuQHZcdnYeNjg7e3E+4hYNiyezuhRS7FysqGlWcLYBQL0PT0hm8fn72Ht4IiOkTb23exJepfM2vWzCY+OpyijiNzEPJz9hUUqPjKeLft/4EXkF3ITcjGxMyE1KhVNXQ36TQllUlAQiYUFqCop8zhcuK7FOcWsXzmTjJIStv2wF4+e3qhpqlFTWo1IUw3f0G40NjThZCUUM88cvI65gzmfnr8neERvpM1SGmsaaWtrw87LjqH9gtDX1KSyQfgMHr/4QGluKa6BLry8/ApbDxs8+3iRn5zHgAFBrJuzAa+gAPQ6bewc/Zw4ufEwhoaW/HpkDfceR1JRWIGtpy0R1yNYvH0Olw7exDtUSKOri6uxcrWiurSaisIKygvKuXJh5/+bQuO/Yxu3FWiUyWT7/o9j3YBrQABgBrwEnGQyWft/9Bzm1nayh5GvsdLX59qzcEaFBnP5jrCW9O7rh7u5OXH5+Zjp6lJSWysIk+blYWtoiJmuDpUNjSyZKbAqj57fjrWBIWnFxVgb6CNta+dFYiIDPTxQVVKivdMC7V9YjyqKigT5hvLuy0skbW1kl5XRw1GYnE1SKSIlJSoaGrocoUy0tdFVV6dD1kFDiwQtVVUWLvqVn3YsQKSsgoWuLg9iY/Gzs0VRXngOfQ0Nfli9l6LsPB4+/gsFeXnaOzpoaW3lSVwcpjo6hDg7dxGWbkS8Y87g/iz/cR+bNs5HUyRCRVGRx3FxfMsvZfHYYRRWVXVRpwurq5HJZGRk5GNla0Z/dzc6ZAKz7mt+Po7GxqgqK3cJcIiUVWhtayOvshJtNTX0NQSvB111deqamkj+9o3KhgZG+PgAAmuzor4eawMDXsclUpJTwqpZE5g8YQ0+oT4UZwuO0vv2rgbg5w2HKckt5rfjP5NUVIS8nBwZcVmsnDWePceu8PPSGcTk5TFvlCDE2s03lLkbZpCWmkuLuAVtA22KMooIu3WfVYc2MKZ7dyLT0nj3UrAWTH6XzPkrO8koKcHOyIh5329m5sbptHd0EOrmxsVHL5kwsBdv0oSajpqKCq3t7Rxeu5/7T89SI27ESt+gSwpeQV4OLysbJkxaw46DqwB4E5dEyocUPr4M5/7zCzRJpFQ2NOBra4tYImHT9uPEvv3Aiv1CrcnFzBQ9dQ2efo7lu/59eJGYSH93dxQVFDh48Q79+vgR/iaGUYNDuu6JyLQ0BnoItHUVJSVkMhmS1la+5OSQ+CGZrStnd0m2Z5WV4WJqSltHBwaamshkMlQUFVm5bj97dq+gWizGSl+/i9mqoaqKsbY2hy79jbOXPfZGRnhYWv7XOUT9B4vCegCZTLa78+fnwFaZTBb1H52/m6+v7P6LF2iJRKgpK9PW0Y4cwh3cLpPRLJVw+eErhvQNxEBTA3UVFZYt38PSn7/D19aWu9HRKCsKE7C/mztfcnJIzy5gVK8gNFVVkLS2UdfchIWePs8TEuhua4tS56KgrabGib8fM6JvEC+j45k5MJRnCQkYaGriaWmJcifl9l9C5bK6OholLSjKK+DYGc4eu/2IyqIKXAJdcTI1wd7YuKsNBoI1XXFNDS++fGVC72CapVLyKitRV1Ghrb2dbtbWFFRVoi0Scuwh/Sbz97NLPP0YzZwhA5CTk6O8vh5VJSWySktpkkpxMTNFpCyAkdo7OlBSkKdG3ERpbS36mhpYGxhSKxbT0anVGOzo2GUz19jSQlldHWV1dXhZWVHbJKauSWgdlpdUMXVAb6obGzHv7A5klpZi0ulSnVFaiqOJMeIWCbeuPGPSjKEc3HyaOeund7UYZ46axfn75zDR0SEsPgEHM1OaJRLaZTLMdHRobW/n0rkHXcpRGjoarJgxlvPPXjO6dxCtbcLntXDyCo5cOYCKoiIfElPZtWQNABv+3M+M/n1oaGlGR02drfvPsnjeeL7m5+NsaoqmqipiiQSLztf/MSuLPq6ubD9ygY1LvxOEcDsjKb1OZ+kNK/Zz68Y+yuuEaOddRgbaIhGzh03iU8IH0ouLOb7jAku3zKatvR1jbW0+pqTjZW8DgLe1NZv2nGT0xAHIZDIyC4vxsrchu6yM+tpGvuvfh49ZWV3XVEVREbFEwruEFMR1YsYNCOHGk3CmjeiPnJwcpbW1tLW3d4GRFk9fx7R1M5kc2ovqxkbepqahr6VJUVEZgwJ9MdXRoUkq5UWiEJ3+y3u30NNDQV6ey3+/YP38qf/li8IsBGu4aGCNTCarkZOTO4og936587gzwFOZTHb7Pzq/samlbM6KTTj4OJAdl03I4ADCH7wHwMHHgU9PPvHL9kVcufUCPTM9+gV0I6moiPi3iTj6OTLM16erR26lr8/K+b+y9Nf51DU1McrXlyfx8Yzy9UUskXDr7Qfe3HxDYY4gnHHk4m80S6WsX7iDiSunkBKVSk1pDX5D/JgxtB8XHoRRU16DupZwAzdU17Nx+ff8cfkuPYK9MdPVxURbi7yKSj6lZjC5dzAn7zylu68rD28KDE5HXwcqi6uYNXEoj6O+UJJTSl1lHZ9eRrD3/B5uXXyCtqE2Tn5CCqSkoIBE2soY/+6U1tUjUlLi3M0n6Jno0SppJTZMcElW6FwIhy8YhgyB36+mrEx1YyMuZmZs3XKcgGEBtLe2M2NQn67rXdfUTFRWFiO6dWPjrr/Y88sS1u88Qfy7GDYf+QkNVVXK6uow6cyXj+27jIOPA/36+GGsrc3NpxHcOHyWI1f/YP+mk9y4tocjtx6Qn1IAwK6Ni9jz1zX+Pn0eN89A+k3vz/AgP3btPkN1aTV23nb0HRTYdcO3trezfPJSHF18sXazpraiFl0TXTaumkVFQwMXLj8UXJv2dVbiS0p4G/aZK0cP89Mfe7C1MSc6KhFxnRhlVWWuHj1GcOjwLnKTRCJGWVmVqT/PYGg3b0z0DNh86DSRd8OQSlsYt3gaQ/oEoKeujpG28J779ZvOkYu/YW9kxMjhC9l1YhNf07IozS1D10SX8KvhrN69sEtSfdXKvfQYFUSglyt3boeRk5CLsY0xeqZ6LJkxhj8v3WX8qH5sXL4fgDdvbjFt/iqCRgYReSOS6+cPcODWdZ6deUZDXS3mdla49nClm49A3KtubOT9wyjyk/OZs/k7ol5E01DdwPxlk1i/aCfKyiI8Qjy6FLKfhH/kwu9HkJdTYNTs6aiIVNiwYNp/qW3cccAe6IZgFbe/8/dy/8ax/+aq869t45qbxP/WIf8z/mf8z/j/YPxfLQoymaxMJpO1y2SyDuAUQg0BoAiw/FeHWgDF/845TspkMj+ZTOYn64Dwe4+QyWS4BDgT/uA9uYm55CbmYmlpjGugKw0tEjo6OnB0sMLe2Bg9dXWS3iWRm5CLSFmJD+/i+PAuDkt9fWzcbQR14zcJyMnJoaasTF1TE2KJhLqKOqxcLfHpHYhP70DexydTUFVF0JCemJoaUltWi523HVXFVULYn/WNFnELpvammNqb4hLoiqKCAn16+RKflIm8HISnpGJjaICWtgbqKqqY2poQl5BBXWUddZV12NqYC7TjykqqiqtpbmzGxMYELS0DtFRV0THSob21DVUlJVSVlPCwsKA4q5ikwiJB8DM9XaAv+7gzY1g/tPS1MLE1QctACy0DLbTV1Bjo4UGtWIyRlhbG2tqY6Ohg380eW0tTXBysUJRXIKGwiITCIkx0dEj+lIqcnByaeppIWluxcLbAwcsFW0NDFOTlUJSXp6CykoLKSlqlrTw6dwcNVVXaOzp4ePoOgyeP5eAKXx3FAAAgAElEQVTm02SkRZNcVMSV/adx6u6IU3dHCqqqqCquxNG5O08eniXQ3Yncigr8h/kTFx2JnZcdfnZ2XDp5j0sn73F4yxl6DBjE65fXePvkBQtWTiHtUyqS1lZSv30T5PLDbpJZWkpmaSlHNvyFmb0Zbm7BtErbCH/8gbrKOsaO70+LuAVlZREh40IYPn8Ew+ePoLAwDSNLU/7a8Actra0MGDATNW01hswcxYyf51GcU8ybuCTeZWTQr990+vWbzuvXV4jJzuHGuw94h3THxtAQSZMEY2sjzK1NyM1J4PalpxRVV1FUXYWKmgq6hjrEZeXg4OPAs0fnsHazxj/Yiy85OahpqfMhOY3Ry0Yxetkops5dybM71/C0tKA45xvDR88n0NWJgGEB6BkZUpCZg5aeJt8qq/hWKRDvitKLCBweiLStHf/+vrgEuvDmUxx9J/Znyk+TEWmKsNLXx0pfH18fF/qNGoO4qY6HF67RVP9vOjv+m+P/Nn0wlclkJZ3frwICZTLZFDk5OXfgKv+70PgKcPzPCo0m5tay2KQ4Glpa+Ov4LVatmM6RTlWeCdMG42RqipZIRGZpKZ8yMpkc3IO2jnZO333OovHDEEsk9AoYDMDR26cIcnBAQV5e4Cvk5PPh/gdW/zyLuPx8JgYGci8mhlBXQV5c2t7O+nWH2H9gDdpqajz8+pW+rq5oiUQ0SyWoKimTW1FBbSes2M3cnEZJCwaaWmSXlfE5KxsfWxv0NDRQVVJCQV6eGxHv8HG277I1V5SX5/fdZ/EO7cb3g0NRVlTk9ufP+NnZ0drWhlgiwcvKim+dqEx1FRWyysux1NNj6y9/smnrQqwMDMgpL0dNWZkasRhVZWUknYXGD4mpDAnwZcGM9Vy+uZ+77z8xPMgPBTk5Surq8LCwYN6i7Wz+dQkgFCZ9bayRtrXT0tqKhqoqMpms6+u5F68RaYhQUBD2DFdzc1qkUvzt7SmvrycyNZWJgYFcjnhDeWEFk4eHsmPbX+zZvaLrM1277gDrNs2lWiymm5UV3h49iU96z7pNh9m9fRktrVKWL9wFwOhlo1FTVaEor4T6qnomjxnA5rWHGLtsDIO9vFBRVCSrrKwLNn7jThjLZ4+nqKYGZxMTdh69hLyCPD8unIqKkhJnn71kSr/e5FcKzbH0klIKMovIjM0kYGgAvTzdMNHWQqSsglgiob2jg227TzFyyoCulCkmO4dZoaGce/mKUYH+5FVUoNh5PZxNzVi2+nfy0rIoLRVcEcPe3kMOOdplMsFjUk4ORQUFXMxMqW4Us+vXU1w5s5e84nwAVJQUic3LR9SpktXe0UFdUxOZZWU8vPyCOYvHY6Kjwx/HrwMwfcYwzHR0kZeXR0lBnvYOodCYXlqKS+f/K8jLdwnRWOrpoaSoyKGrd/H3c0dPXf3/XaHx37GN64uQOsiAPGDhv1okNgJzEKzjVspksqf/2Ytw9/KSnf77b+yNDCmtq0dXTY2mTgn2huZmfGxsWLvlCFNnjcDdwpzqRjH7D1xk5LRBBNjbk1laSvg7Qa9u6vB+ZJWV8SU6mT7BPjibmdHQ3IyhlhatbW3ci45hfIB/F7utWSpl257TbF8/n7j8AmwNDSmqrqa2qQlzXQGFKGlr6+oMqCopdSpJCxOyvUPG4oU7mPOTUP0OsLeno6MDaXt7F9NTpKxMWkkJF4/dZtevy6kWi7v+FhmXxHf9+5BXWdnV817700GWrp3B8QNXObxvLU1SKVWNjRTX1FBeX4+zqQkm2jpd5qaJhYVoiURUNDRQUlVNLzcXRMoqdHR0kFdZiZGWFnZGRl0qQYoKCrxKTkZLVbULpl1QVUVuRQXG2tpU1tdTVl/PYE9B2iu3ogIlRUWSi4pwNTMjIS+fnq4uLJq+ju9/mUfc6zgcfR0Z0qM7AJOGz2LbqV3429lx920UfX29SC0uxt7IiPL6erpZW3Pz9TvCLrwAQFmkwrmz2zhw/jbDh4Qgk8koqa1l9/KdrDn4E56WFjx9H83l308BENCvDwd2rKC6sRFddXVGjljMruMbqGhowN3cnNqmJqwN9OnEdvE8IYFx/v58N3Mj58/toKOjg+jcXNwtLISiYGkpK2asobg4k4wsAf5+451ggTezXygtUgl5lZWcPXOX5UumUN/cTEV9Pc8fvO2ShO/t7MzNqI+oiVTp7ezMrdfvmNgvhNb2dp7HxDEjtDdP4+Px7hQANtPVJSpTICklpmQzb+QgniYkMMzbm/zKSuILCvC3s6OhRcByHP79EgHDApg3ZADNUimxeXkoyssTn5bN7KECtLmuqakL7q/e2XFp6+hA2trK54S0f9gh6p+C+2BsZiVbsGYLYbfuMXDiGHoNCuDWXwIkV0FRgStnficlL5MhvUbhG9iPReu/Iy23EA1tdcoKypGTgx7dBUNsEx0d3qSmYaitRUurFFNtHb6mZzMyWMhwrj56xfOLj4mKugfAm8RY6pubGeYXxMzFG3nz7BEjpk9DQ1eDuVNGcPXRK45t3oGbWw8AysryOXL1Dw78cgozBzP2bVtOdE4OL55HER8ex/Sfp3J59zX0TPV4EybQZBOTP/DLbycZMq4v1/+6j5mDGR3tHahpqWFgbsCvi1Yxaf5iPjx9DcDMjQsZFtid4poaNFRVeZeQgqRJQm1FLZ7+ruxftYevX1+iqCgAW1Zu30Of/v40t7bS2NJCf3d3XiUnY2toyPVLT6gorODMX5u7SGBiiYSE1GyMTPVZMHQsJ578zbrJ85j3809ImiSY2ZvR3NjMhMG9Aejh3ZOF6zfy08KpHL3xgLykPPJT8li1exGHNpzk4rXdXH/9hk+PBfr6kYM/8tedJ2xZOI+Nf/zJ58efOHpmMysW7cJ/iB+2bjYUZRfTs9PNKK+ykrvH7qOlp4mhlREtjS0YWhoyaUQo8QUFPLschoWLJUE9hR58SU0tYRfCePrgPGv37MXU3pS3t9/i1sON0J6+bF91iPT0aITsFtTVtZm+ZgG2jhZY6umzaPIyDA0tKS7OxrdHb4pzCzl3bQ8dMvh+otCS9A7pzsa1sxEpKaGqrMKvJy5RUVhBwodobF2cse9mT0hvX3w61aA2bv2T4qxvTP1pCld2X6PnuJ7cOnoBVVV1rt8/QWZpKd1tbDh2Tbiv7568yoCJIxFpiKitqOXehXNMXbqEhIgErN2tqSyqpLG2kdCpoQBImyXkJuVx8cRuqmsrWLjkV+Gz3zSHAd1DWPjTZoAu6nX653Rapa0oKCpg382e8JthPH9+5r8P98HQUBe3YDe8QjyYGBjItago1mwQtOlUlZRQ1VBFQV6ePVeOcvvP+/ja2FBUXc0oX182vzhFz+FBXRLsUZmZBDo6kF9Rgb2RMc8iPtHc2Ey0SQ56GhpoaKuz6fCPPLojXJvU4mIGe3py6PZt/N2cGDilHxXl1YhrxRhqalKQWsDaA7vw9xSAMGKJhJK6OhZu+p6vX9MoqKrE1sgQaw9rgvsKrSG3YDfsvO1w7ymQWRQVFFiwYAJGWlqcF7dQXVLNxp/nUNfUjJ2REQ27tpPwJoFFu4XqenNjMzpqasjLy/Mo6gvKImXKC8pZN3cy32qqmbdjGa2ShUibhWhqaLAfJtraZJaV4mxqhrStFTdzc7REItasmEFBZSUXX0eiqi5U+ycFBtIskaCuosLKHbvRVFVl99W/MNLSolHSwmBPL9o7OvhWI0jQHbl3GXk5OaRtrbSIW5g0azj3b7zE386OY2c3k11WxvT+fejpLbzfhpZmJg3pg8XLJwTa2/Pu7lvuRnyguCiHmWM30ihp4cKOiyyfLHAT7IyMcN1phrmeHt+qq6kWi3E0MeHKw5foGuuS+CWaZWtmdPXsx/h35+yWE1x6+ZAjG45z9dYB1EWqFGR9o6yujv0n1jNzwnJm/DwXgB4eLpjq6KCjrs7Pvx7n9/N7ObThJDY2HgSOCCQzVo8miZT8ykp2nRDwLjaGhuRVVCBSVubXE5f4ZfH3rP/tBB4BvnyOiODwwXWoq6hy8OpdQCBdefX1RiJtxae/D9+NGiCAl6RtFFRW4mBsTExeHs5e9gD8sP9HzHR1+WXhFhbs/AH3nvu49OsZluxezuju3YlISeHIptPUlgst0pqyGlwDXVikuYOMkhKy01LR1NSlsaWFgUOms3TeBJbN3U54+DUAdHSMWHtgN2P7BpNeXIy+mT7Pn5/5h+bjP8WiAEK4k/AxhTRLS+yNjGjvDK9bWlsRaYi4/iSc7LhsFv80A0lbG5d3XkR7pxqefTzJTs0joxMiHOTgwKkHzynPL2P8hIGMGtATc11dqhob0VNX5971MOqr6rsgwl6WlqirqJDyIYWC1AKMrY2pr6qnubGZhpYWvPt6k/Y5jQAvoTUU+zWNAD93ElKzUddSx9rAkLqmJmLDYgn7VsX4ZWOYMW0YkTEJlHRKnre2tXVpNBhZGWFqb8qJi/fpFuxBUXU1KmoqWDhZUJQhkFne3X1Ln24eGGtrM2dwfx59/Yqyp2AKq6Omzs2913AL9EBTT8AFqCgpIZZIyCorp6qhEWsDA2wNDckuL0NRXoHPX1OYO2ow2eUCsKWhpYW84jIUlRWpKRNo3m/uvEXPRI+mhiY8LSxpaW3t4j7s3naSyYvHkFlaxuCBPVBUUEDSLCE6N5fElGz6BAjpQXGtsIg8eRXF8qmjSXifREl+KVPXT6OXszORNyKp7WR9GloY8T4jAxCozcmFRZz+6w5zF47DQk+XsPgEdI11GdcziCjvKG7ffcWTy0Jn2/b2n4yYO44vHxIYvXQcf5y9jbhejIOPA+7m5rxNT6f3qAEYGwu75rEDV1iyehrhqanMmTuGF++iyctLos/w4aioqaCmqUZlQwPHd1yg/wxB8+FjbDJ9g7px9sxdJC1S1v92gl0/LSQ0dBoWFo7kV1Yhk8nQNRYQh/OWTmRMnxF8in/L3cN3uW6oTfSLL2hoadJ91ewuafeGTmh3SXYxlj30MTa15uGfD/EI8UBFRY3Ejyl0dLJcW1rElBcIC+Hlk78zYOD3ePb2xMXMDDU1LVRV1QhycOBvezOqGhroMSYYp04UZ11lHbkJuURbmaCuosLOxav/4bn4TyGy0tjUTJNEQkxYDGHvo0kr+sb9J2+4/+QN1WIxSe/jGdk/mNzkLKoaG1GQl2fi2inoqqlRmFqAjbMVeRWV5FVU8iEzEwdHKwYOD0FfQwNJaysymYynH6NRUVLCO9SblA8pZERnkBGdQVxePkU1NSR/isehmz0RNyLo2csHx+6OqCkr01DdQGz4RwqrqymsrqY0r5TIiGiqS6sJvxZOa1sbzVIpDj4OKIuUqayoIb2khNdXw4l/E0P8mxjaOtq5GhZJQVUVmbEZaOlrUZpTgrWBASpKStw8dBkdIx1iwwTLtkHfD0K/E1QDEB3xFSMtLYpra/mSk0NZWT7x72KJfSk8GltaKKqpIfZNPDrq6hRWV1MjFqOvoYmkrQ2Rpho55eVEfIon4lM8TRIJtuYmOJub8f7ZS1LjsyjOKsYl0AVVNVWqGhuRtrejpKiIkqIiWcnJZGTk42hizJ2bYSQVFKKorChwTr4KatNp34ox1tLGWEubKSP68fDrV1LeJ2NiZczzs88x1tamvraGoupqTHV0aG9tR1tNTXiIRETejETbUJtX72J58CqKxMhEAl2dBLBWvRj7bvbM3bKcuVuWI5ZISHybSNrHNBLfJGLvY8/ruw/JS8pDW01E4rskKosquX3sPreP3ae2oo7IzwmY6ugQm5tHSU4JMlk7ZXllgjJ2aTW+trYs3TKb0twySnPLujgHy5dMIeGDgAkIDZ1GePhViooyiS8ooLSujubGZpobm6lsaMDY2JrM0jLeRt7G1tGC168v0SxuIq24mLdRcchkMrK+ZpH1NYuS3FKhNlH2jZBxPSnJLaGxsZawGw9J/5pJYmo2cXGv+BwRzueIcIYMm4PvQF/CbjygSSqlubkBIysj4vLzyU3IJaeiHEVFRfKT84RHag7aRtokfEklr7gMQ0PLf3f+/Z/jn2JRQE6O7IQc3Hq4MX1oP5LfJqFrrIuusS4eFhaoaWgSlZpOr7F9SYhOQ1VJibSPaeioqxP59yu0RCJCnJ0JcXbGx8aGrMwCIl99IbO0FA1VVTLLypBXUKC+uZmYFzFo6mshk8mQyWQkvUtCV02NHsN74etoh427DQlJmcQ8j6ZaLObFxadY2tnhamaGq5kZ/UeGoG+qz5BBwTQ1ipGXlxccpdRUCBkXgqaOBiXfKtDQ1UBDUwcNTR1qxE2YWxphY2BAXNwrXpx/gZWbNdWdwiW2Ls48v/gYJz8nnPycaG4UJrm+hgbNUgmVxVU8vxtJoL09Ompq6Oqa4N27OxZOFlg4WWClr4+HhQXjxw/ASl8fCz1dDLW0eJeejoupaVf4XJpbSmluKZoiEYlJWcjJyWFj54qCkgKhU0PJ+pqFZy8PXM3McDE1paK+nor6eoIG96EwvZD3GZkoi5RRUJAn+WM8GiqqhIwKRtLahqWBPlYGBlgZGFBeX4+2mhpefb1pbWunRdyCWCIhPf0TmqqqNLe2Ii8vh4OREQ5GRmioqtJrQi98Q7yQyWQYWRsxYEwvYjKzkZeX58XTS0hbpCCTgUyGnoYGFUXlePXx4sXdm/RxcWHC4pnkJOTwPiMTl0AXUmLjcPBxwMHHgaCRQSgqKeJgbISCgjyGloYUFWVQkJuOgoICIk01xBIJbe3t6Jroomuii6GJPs6mZtQ3N2Pr4szniAj09IwJDBzBp0+PsDE0xNPSAndnW9ydbQl78JbuvXqjoqjI5Dk/IJPBsBELCB7dk7aODvoE+9DN2hppsxRpsxQDcwOKisvR0NClLL8cXWNdlJVVmb5uLuNG9MXQVB+JpIlew4bQa9gQZDIZVcVVWNk6k/rtGwUFKbx8dJuqxkaamhrobmPL38evUZCbSUFuJu/f3yUrJgt7LzuKs74RPGjgPz4d/xkKjcrKItmSH3fTfVB3op9F4xHizv7VvwCw99pxCvNLmTdiEGefvERRWZHp/YQC2OqfDtBjTDDTe4UwZrTg+3Dk7DZexyUyKsifu+8+Mr1fb07cfsycsUMoqq5CXk6ev47dRN9MCI2D+vjw95nHOPo5MnV4P35afYBVW+bS2tZGN2tr7nz+QmF6IVauQs3CQFOTPi4u5JSX8z4xFTd7axqam+nv7k5iYSHuFhYcvHgHHUNtCju57f6hPvz+w05mbVqMqroqBtpaxEen0lDdwKTJg7lw5h7DJ/ZDLBUYbsO7+XDhVQSedtaU1tWhoqREs1SKqLMNGf85hTZpW5cGod+g7lgZGPD61SemjxtEZlkZAz08OPXkBU62ltgYGnYx/gBB5Sc1lVA3N45cv8/88cN4Fh9Pa1s74wP8ic7NpUYspq0zhYuJiKMovYjf960itbiYfT8eY9yK8aRGpfDs1i3O3D3DjGFTOXX/IgDeVlZ4uwUycOQUaspqmPnzNFLjswgJ8WGoXzDvk2JxMTNj/DihqGfraUduYg41NaUUFWWw8rdtnN31B4ev/4muuhrldfU8uPqCTT/PA2Ded5tYtH0uF/deZ+yy0XyNiKexppEeo3ugr6HBvOGTOXjnAp+eCVyJlE+JlJTkoKmpx93Hp1m2eCcL1n9HfnkF5fnlWDtb8u7+BxYuncQvPxwAIDcnAf/e/Zi2aAzv335lxcxx5FdWEV9QgI2hIcGOTgwZMo/vNs0CIOtrFtMmDuZbdTXFtbU8OvGIvpP7ENrdm+KaGs7/cRMtfa0u3c6KwgpiXn7m7NXfiExNI+rxJzb9OIej5//m5c1H6OubM/uX76iuETg3owL9CE9NJSsxh9FDegmOWC0SIt7EoG+mj4qaCsa6OvRxEdLcpKIiYlMz2TBzHn36TGTKj5OZGBj436fQqKamhUuACwoKCsgryCOua8LGRqhM66ipY+btSmNLC8oiZfxcHFFRUqKuqYnRs4fR0akf8O7d3wCIJRuY2CsYBTk5enm7U1JXh5unA+/S0+nn5iZgGsb0xMbAAICk3ALCn/7Nd0suo60mwtLFEmdTE2rEAmnK2tCA5sZmrDuP1xaJSC0uxtbQkMaaRtzNzfllxwlCtjihrKhIXVMTTl72pMSkY+UqhGxDvLzYKyfPrYPX+PngGqwMDDAM1cRSX4/0klIMzA2wMzIiqUhYRAoqKxni58OJ83eZOmkwH5LT6OnhSlldHTKZjN59/Siqru5ytdZWU0NdRYXoZ9GMHdEXVzMzapuamDmoH6nFxehpaFBcW0tOqVBTUFZUxM7IiI6ODszsTCmsqhKiDUsLlBQVya+oRE1Vhd7OQn5a+q0CSZMEbTU1UjPz0dbXYVJID6b8cQczM0ciP3xFLK7Hz9YWgMi0NHR1Teg7uS9pn1LRVFVF2iLBy9KCkWMX4mBsTIdM1sXv79M+mSGzhxMfEY+Kijqm1ibIySkQn5SJrrEu/T09iHG06Co0pqV9xFRnDUPmDcFCX5878TmoqqsSYG9PW3s7Y6bNo7+7O9UVQo1DWaRMH4N+HP5lM7F5eSzbPAfDTm5LhVMDH5LTiH37gY+h3qzeLag73b70lJTPCTx/8JYho3ujriJgOIy0tLA3MmTIkHk8e3aagMFCV2rqpMFoi0Q8S87C29OJbqHdMDTWx1RHmzuPI3Dr4UZsWCxrV38PQGt7G8qqSoiUVdBRV2fOgrFoikQ4+zmhoDiKb1nFGGppEfdBcJQSd/NEWVEBbz9XpO3tOBobI5PJuJB0hymj+qOuokKHrKOL6OdkaoqrmRlR4+aiY6zbBSn/R8Y/RaTg6ukpS4iLo7imhos3njJ1wqAuII+zmRl66urIZDJSi4tRUlDAxcyMuqYmvubnY66ri466OisXCz6M/aaFMnfYQMQSCXJycvxx9jZaBloYmBtgoKWJr40NjS0tWHYW0dKKi4nNyWWoTze0RCIKqqpQU1ZGXl4eQ01N0ktK0BKJupSQFRUUeJ+RQZCDA3kVFWSXl9PPzQ1VJSUySksx1xUqwtVicRfuQFVJici0NCx0dYU8XUGBbzU1+Nna8q2mGh01darFYky0hcKhsqIS0rZWlBQU2bnvHLPmjkZTVUSHrANtkRqldXXoaWh0vaa4/Hy01dSYM3Y+d59f4fmXr3w/oC+t7W00tEjQ19BgyKBZbDqyHgAjLS1czMyo6LSmb2xp6cJflNXVkfLtG0oKCmh1CogoKihgqaeHtpoaLa1SpG3tKHbqU3zKzGJyjyCuvH3HxB5BXcc/joujp6MjbR0daKiqMmv6RlbuWkCNWIyPtTWZpaXExQnW8lOGCa3Hfylu2hkZsf2308xbOJ5mqZTm1lYcjI0p7uyGNEmllNXVEeLsTEZJCR/exZH1NYsjB3+kqrGR3IoKXM3MunAcCQUFyMvLk1nwjS9PPrPvt5VE5+TiZm6OipISiYWFlNTWYmNg0KXZUFRdxfTh37PvyhGCHBw4/fdTdI0FlSx3Z1uKqqpJ/5LOjtVC9FJeV8vn7GwMNDWJfBvL3AlDufn6HQFeLqgqKXHy+C2e3rrK+2iBD6PZOUkPnL/N1DEDMNXR4fLrN3S0t1NRVMmcycOJSEnh8JrfAVi2dx0eVpZY6etT2dBATnk5RlpaWOnrd5H10kpKeP9FsBnwcHcgxNmZt2lp+NjY8DQunukhPf9LuQ//M/5n/M/4/+n4p4gUTMysZDZW3fhh/8+4W1pw6dwDdAyFXdbC2YI3NyP5aesCvmRlc+P3q9z++w+eJyaSHJNOzPNoDp3c2LVrApy+9QQjK0MyY7MIHuDHvbNPWLByCtL2dm6ef4SFsyWRtwSgUJ+J/RgxIJi7jyPp2cuHZ/ffkPwhCRWRKtev7aFP70n0nzi8iyVp525DoL09tU1iXr6NYWjfQBqamzHR0UEskeBgbMx3MzfRf0b/LoPZpSum8jk9k0G+3djw8x/Ef37PnzeOsXnpbq7cPsSx83/z9Mpt1h4W6ii9XZx5HpeAt60NEVFf0TPV48AP27j48CzGWtrcCHtDWV4ZFYWd1uzDA5gR2htlRUWaJBJaWluRk5Pj6Pm/cfB16LJLr+6Eag/w8GDrb6fYtG4O+49fY9n8iYTFJxD9LJq925dTUFVFSW0tZXV1ABRkFhHzIoZtv/9ATnk5lw/dQtYhI3RaKHUVdYzo14OIr4ld+oAbl33HhbBw4sPjEdeKcejugHeAG28fR9HSJEHbQIvJkwYj6+TKvf7wFVNrY/LTC6n8Vsng0b1RUVJCWyTi3uNIYl/EomOsw/HDQqRzISycd3feoa6lRnFOMX+c/qWzJVvGmW3n8ezlRdTTSIbOHA0IVn+mtiYYmRpQUVZF1P0oLJwtSP2UxqBZg4h6EMXqjbNxNjVjwWIBFKSipsL27YvRFqmx7pcjyGQy5i2dSGVDA2EP3qKmqcakcQO6hGgMtbTJLC3h5v1XTBs7kO2bjzN31RTk5OTILilltL8fCvJyhKcIsn5vH0fxMewNv535lQtHbyNpkrD4pxloqKryMSWd93ff49Xbi0lDBHZrS6uUHZtPoGOog52XLZIWKTHPYwgZH8LLiy9ZtG0262b8wHdrlgKQk5CDtFmKia0JGdEZrNg+jxBn5/8+iEZPb2/Z5YcP2bPxBOOWjyHIwaFL1CS5oJAX514wa+0U9qzax5Ldy1BTVubVw3d8//1IyurqOLv3Gr8fFLj2cnJyfKuuJr24hFB3N4pranAwMSGhQIAwP42KpqqkmtLcUgB+WDkdeyMjhg5dgKKiMoFDg7BwtqCjo4MAV0fqm1v4a89lgkcLcNYX518QMj6E93+/o8eYYJZNHkWHTMbwIXMoLs5k9IyZDBjTmy8fEijNEZ5j368/8K2mGgs9ffaeuYGnvwsZybkEB3kTm5BOUUYRLgHOPD39DABNPU2OHvyRDpkMBXl5rna7qnQAACAASURBVL99j6+jHbHZuYzy92Px/B20SlsxsRVC3ekLxlArFlPX1ERFUQUzhvUnsbAQP1tb/v78hScnn3D+3Ha+5Ag4/X+BkL9+9J7MmEw8e3vy5PItVv+xid8Wb+TAlSNI2tq6ilYTx61gz4mNmOvpcffDJwJdnXgW8Ykpw0K59fwNfYN90NfQ4PpDITQ2d7JglK8Pq9YdYOKCUSQnZjFnzGB+3XeOlcumkl9VxdVT91m7biYgYFRuhL2hprSGGRMHU9nQQF5lJYaamrhbWHDuzjOsXCy5uOM8ABeu7+Xu2yiSP6QwZFI/khMyKUovYsy0QfRwdORm1EdSo1IxthGUmdM+p7F+/VxqmprQVVPj5tMIIm68olvf7nj38iT+bSKL54zjj+PXsfcSZOR1DXXo6+rKs7h47h++h1dfb87t34exsTXde/Vm1drv0RaJuq6pk6kpjiYmgn/G4O/Yfmonm+dvoLa2nJTUjyQVFaGmrExJp8Tdm/AvTBk3iL27zmLrZYu4tpGC1ELkFeUJHh2Mlbkxp369iKWzUJd6+/QZQ6dNoCS7hAP71vDTpsMYmBuwfdUclqzeQ8DwQHR0NIkOFyThlVSUMLM3xdLCBEcTE0K8e1BamvPfZ1Fw9fSUzVmzmaEDgjDS0uLRpxhcbISLUd3YSIdMhqGWFhX19Vjp61Pd2IiBlhYGGho8i/6KvYUp+eXCrvnx4Uf27VxBVnk5YomEw1vOsOPASt4lpaKnK+TsQ729CesUo5CTk6O6oREjHW2+lVVibmxAcXklAH5ODoR/isPJybpLMEUmk+FkakqtWNzlVnXjwG0OHV9PTnk5/nZ2pJcUU9XQ2LUz93d3Jy4/n5jYVOxdrCnMK2H+qMF8ys5GpKREdnk59TUN9PURiqsGmgK+YP6MjSz5dT5murq8ehtNUIAnyVl5TOzTk3fp6V2S7WadUYq0vR01ZWWKa2qw0NfH19qaR3FxNNSLqSyqICBQOL+dkRGxeXmIlJVplkoZ6OFBeEoKnpaW6Kir0yKVUlJX16XUlFtRQWlpFcOD/HgRG09ZfhkjB4dw7foztA21qSgox6G7YxfCsqm+CUtnC1SUlMjPLEJdR52ZA0OJysxEV0ODdzGJDOrRnXvPBZfq8vxyAof4I21rA4RCaGHWN0ICvQhx8+Tupw8kfc2gf19/ACLex5IQkcDohSPITs7FwcOOsuJKPJxtifqYgL6ZPvp62l2iMhJpK97WVrx484VbRy9y6NI+FOQFAxxNVVV2rtjL5DXTcbWz+t91mqwcBnf36QJYSaStDPB0J7O0rEsgJTE5iwAfQWz35atPzJk8HFMdXd5npJOeX4S9hSlycnLMGjaFE/cv4WRiQm2TwFaUtLYSl5qFi4M1KRl5eLrYoa0mIreiggHuHowaPp9Nh3+moEK4FycH92DvmRtYuliipKyEs6kpHR0drPx+HasO/oyjiQnRaZmoqgm1Cg2RKn62toR9jae5sQVfd0cCHRz+oUVBYevWrf/ZMf/l4/CxY1u3bd/EiSM3iE/LYdSAnnzNzKGqrh5DHS3un3/K7IlD2b7uCH0GBWKgqUmTRCKYoIhUKamrQ1VZGSUlRVQ1VJGpKOJobIyNoSG6LqZ0t7UlrayUvq6uaKiq8tflB6TEpJObVkD/3n5YGxqyafFOnHydiYmIY9iAYMwN9LExNEBVXZVrJ+/j6G2PvJwc4bffUCVuJPLhB5qkUnp192TgsJ68+PKVOycf0mYsAHJevvhIRlwWBRlF2Ltak5pfSLCPO58/JdIvpDtHT96iu48rlQ0N3Dpyl8Eje3HpzH2+fEmmor0ZHwc7Avp1x9PKiqjMTEb2DCAmO4fWZimnDt3ga2QCFSWV5Kbm06e3H9Gpmbx/8hEHd1s6ZDJ0RCKhEi2TkZmRT0CAB63t7XTIZJjo6GBraEh1YyNndl1GrK3ItX03cApy4fixGzh6CLulg7ExeuoabF5xkPFTBuFoYsLz1x8Z0C+AsIjPrJg9gQf3wlm4aCIKyoqYGutjbKjHkKDu1DQ1cf2PO4yc1J+IB+8J6enDH3sv4urjRF9vD35afYBZc0fjYGvB0NAgtiz/HQ0dTSytTYiJiKc8v4z+fQMYP2c2sbGp+Pu7C9TzxkYG+ncjOT2Xr+FxuAS5IpW2cmz9HvSsrVg9YzzXrz6lvr6RN3fekvo5jW8Z32hTVyLYzwNrf3fCH74n8mkUJYXlJMWk4+znyrLJo/hWU8PDe+GkpuSgb6qPnII8vtbW7Fp7FBU1Fc4dvcXerRtol+mgbW2Ak40F79/HkV9QwpRR/ZkwbBY3wx/S08mZ9Zs3MdSvB0mfsvk77DrXLz5GwVCd8GdRpKbk8OFVNNMnD2XVzJ8ZMGEgDy+/4MqJa5w9dIBqiQq9x4fy19aTvHn4nM9h70lI/4Z7sBs39l5j25r5rF9zEDSV+fmnRVw5eY/S6hq6d3PhydUwCtMKKckvo6qtmZLsUgb08WftnE3k5SWWbN269eR/Nh//KSIFPT0Tma6uCTsvH8fD0oJ9285g2CncOnnGUGJTMlHVFFFfWY+7qx2hbm789fA5tw9fxc2/G7u2LOZZgrDzj/TxYdqUnwgZ34uPDz9y6uxWonNyBI5BSzN/HhCUglsahZ1fTkGOoYN7Ep2UjouDNY9uvaahup76qnqO/LmB1av24djdAf9OMo66igrdrK2oETdx99U7evp7kVxQyJgAf+Ly8wl2dCQsKYmszAKyYgUWXMCwQEQqypjp6PDsqRCy+w3249qh09x9doknn2L4+PAjkxePAUBZQYFb5x4zYsYgDDU1+Zqezb2jd7h4fS+aIhEbdp7A0NKQxhqhezBkZG8C7e27GJGp377hYWHBhh3Hmb1gHHJycjgaG/MyWWhvDfPuxvezf+H0qS2cvv+M74YP4Gl8PNd2X+Xyjd+paGigrqmJ6CShO5CblEf4vUds+HMbvjY2zJ26jsDBwcRHxqOho8mqLXPZueYIo5cJOby9hSnJ6blkx2VzdPfP5JYWUSsWk1RUxKlf/mLCislM6NOTP87cAiDu9VeGzh3GoR+34uISxNnLv3Lw5A2WzBlPZGoqJbmlbFk4jwvhgm7npV1XGb96PJ8ef8K+mz3tbe1oG2rTx9uDzev+EAxe5g3F2lBoI29dupPeYwbw5fln/jy/ja2//IlLgDPahtpYW5oS8SSK4EH+VFbX8fKSYODz7NE5Hn+MJCYpg+bGZr4bNYDrzyKxdbRAJoMbf9yhW2g35k4QPEnXrjvAlCVj+VZWiZuNJUGOTtyPicbOyJCc8grk5eTQEokQS4Q2cmxUIn/t2sWbmEgmDptJnxHDWLRoIjnl5XyM/EpRRhEh40NwMDMFIKe0jDObjzNn2yJaGpuxMDcm6WsGOsY6yNo78HVz5NrFx+zetBiALzk5XDv9gNLcUlKTo5j140p+nD3pv0/6YO3oJDt28wantp7DPdiD/iN68iFC8BBw9Xfm/PZzXLy+l7HD57Lx6CY8LCxIKipCUyQiOSsPdW11OtoFoI2ykiL6GhqY6+mhr6FBQZVgBnP3SzQTgwJ5l57OteP3qCkT2lvLt89FV0ODeeMXMWvDUl5desXq3QsFPIOzM/diYji35RSTVgvmqR/uvse9lweFqQVImiTs+nU5ZXV1REQnEH4tnGHzh6KlpcGjs08pLxS4D+eu7uHigzBCgry5+NddBk3px+s7kUydPZKKhgb2/LCLuVuX8uTUEwAGzhzItH69yKuoxNXcnMPX79M32IfkwiI6Ojo4u+UEbW1SdHSEnHnbkbUUVFXx5v57Rk4ZgIK8PAaamuhpaJBYWEhCXDpDQ4OIyxO4/L1cnKlqbKShpYV1M9cyY+0C7hy7zrLfVxL15BOjpwjot55Ogjxcj6CRLNq5hpn9+7Lj6EXsu9mT8iGFJfMnsGHdITbvWsr75FT0dbW7/u/h52gu7jzD/F+X8OJiGCeObGDmrF+YsmoCIU5ObNp8jO+WjAdAT12dtQt24uLvirWbFeWFFVQUlPPL5oUCg/LaC3z6+3SBr2yMDLl66j55Kdn0GtsXfXN9Dq7ZwvQVS/lx3hR+WLsXFXVVsuMzOu8wefpPG4CnlyM1YjGvr4eTnZyBiaUFGroaKCgosGf7MlKLi7lyXrCBs3azpqe/J1b6+owcNIOh08cT/eILr19fYtiIBQyaORBDY31Kvwlpq6eLHWu+X8Pv5/cyIqAnlyPCGN29O6Gh0/nr6j6u3X5BSGh3Il58AqAoo4ipS8dxeP2fjFoylsgbkdRVVZOa+pHRM2ZjbG3MlUPHEYkEy8FuQT1x8nfi6sGTRH16zKQJa/Hs5cGEiYPYtvIQoVP7omuix+cnAlNVXCfG2d+ZisIKug/0Ze+yrcTEPP/v05LUVlfD2dQUY2sTPHt70sPBgbGj+zJ2dF/SYzOQyWQoKiigo2NMSlI2V+6/pKZTvCPY05U7+28zzKcbw3y6oaSoiIGWFsqKCigrKvIxLoXMsjJ6OjvxPiMDBXl5Qsb1RKQhQqQhws/OFmcTE9rb27hx8AI9RgWRmlOAUqfmgJelJY7ermR8ySDjf7H33kFRpWvb768D0EATuslZcg6iKCAoijlgznFMo05ynLQn68w4jpOcrc7oBMOYc84JRVDEQJQkIDmHJqcO3x+Lzdmn6ntrz/lOnVPzVr1PFVVdi2atxar1PM99X/d1X9fjfFJTEnD0cOD8kX0MnzOiv7356p4rvCzMora0joriKiLiIgiMCiEwKoRKlYrxMUNxVCoZMmkI5kZGzFg8AZm+PmWl1QyOicLc3AS5mTFyM2Oqi6rRl+oh09enpL6OoWEByGUyCtMKsbdQMmb+JMzNbbBztcfO1Z6S+noKsoqYvnAcqam5hHt4cOz4NUxkBqQ+zubkzv3YmZsz3NeH4b4+xGdkoS+Vcu7oDRwdvdAz0KehoQITmYyka7do7uigqb29X9zVwzuIMaHBdPX0YO9hT4irCzJjGVYmJgweNxhzIyPihoZx5+x97py9T7dazZQhg1Fa2uJqZYWZpRkVjY1YO1sR7e3N7efPQSzC38EBfwcHHJUKfMJ88Y3wZeboaCwdLImdPwpVRwcarRb3EHeszEypKamhpqSGEBdn4fr2toyIGYyLoy3Tli4jMnog7d3dBI4IoqWhBWcfV5x9XAkeEcLkUREEOjliamiIXGFCQEQIEokYO1c71Go1UomEwpoalHZKlHZKfHxd8bG3o1ejQSYzRt2jRm5qwpgxywgbH8bIQcGMCfBnSJAPQ4J8EIlEqFS1iEQigoJicLO2YuTIhcTHH8HF0pIRsWG429jgEeqBR6gHPZ09BDg6YmUvLOz6hvpY2dvg4RFK9JRIFDbmjJ87h5lrljBzzRLEUjFatQal0p6m9jacvJ0wUZria29PT08nafHpWJmZYqI0wURpgluwG0amRoSOHsgIX18UCpu/PB//FpGCT2Cg7qOdPzN96BDUGg2Hr8Xj5yOw4/z6hDH/ZWiqL5VQ3dxCr1qNrbk5l54+Y2xwIBceCJTW2tJa3nllNs2dHWh1gn7Ca3Om8PaH29jw3tJ+Uk53H6h16eFjmuubWT1rElnl5SiMjKhrbUVpbIyNmRnX0tKJDQxA0oe66UmkHL4WzyuTR3MvJxcHpZLd246w4YNlOCqVvKipYYClJc8rKrDqK1e5WFpy7skTinNKCY8IQq3RCIzI7i4cFEqyysuRSiT9voRpJaWEDhjAa29s4d3PVlLX0kJtSwujAwI4k5jMolHDae8rPYIg4tKtVvOiuhpPW1uuPUllTlQEelIp5Y0Ngsx94mMMDAUQLdDHHXtzc/QkEjRaLbUtLf3qP2KRCGMDA1o6OxH1KR2pNRoupTxldlQ4X3y3F68wb+aMGMY/954iYKgvX67+iBWfvoWbm3D/5/ddIXBEEDNGDuNKylO0Gi2vjB0luHr39nDj3mOGR4Rw45bgsdDb3cuUKSPQ6XSkF7zE0daKipp61D29bP9gM4evHOJxdj5uTkIonZqai1ajZcGUWI5evsOYEUOoVqlobGujILWQYTGheNvZUVwvgHRWJiY0d3Tw4EkWiWcS2f2HoD3Q3NlBS2cXN++moNVosbC3YEaUQMB6XFSEr709t1IzmBAWSml9vYBNVVai7lNJevggnSl9ku1PC4tYGB2Fp0coNx5e7xekcbG0RKZvwN3s5/1GvSAIDN9+/hwfezvqWloJdnamurkZiViMp60tb3/8E4tXTqWpD5gc7u3N9cxM3KytOH32DsvmT8LU0BBf9wCeZD/F1NCQ9D7TXACFkdBBeSc7m8rqehaNGo5MX/+/T/rgOMBNd/fRQ2R6epy7k8S4qDBOnBfKW/9YNZ/ShnpaOruQisUMsLIko6wcHzs7fvr9BK8unUaPWs2PPwjOO9XF1YyYM4KRQ0PIq6oi51k+MSPDcFIq+ePgBd5ePZc/Tl1hTIwgumJtasqjwkJMZTKGerhzJzub0f4B6HQ6kl68YNCAAVSqmvC1F0w/qlQqjA0MKKmvR08iYcsnu9m2/X3MjY2pa2nBylRwFqpobOyftIf2XsDOzY45k0fS0dODq5UVb274jqkrJjImIICbWVmM9POlu1dYqMRiMdv3nmLOjNFcvJHE4uljMZXJaGxvZ/feM9h72PfvTgC+9vYcvpNAXkoeH72zjNlT1/Ljvs3EJz3jzXlTaWxr46ute/jkgxX9z7y5s7O/H8LPwUGwzquvJ8LTs19KbPNO4ZnGjB2KWCSivq2NCA8PVB0dlNTXE+7hwS8Hz7Ji/hT2n7zKe8vnAELFaOu2AwwdH4ZUIsHbzo47yak4u9rz8MZjvnp/FbefP6dWJfAgJoUOZPbUtUxbM5vG6iYkehJuH7/KzVsHSMrPRyk3prGtvT+dSS0uJreikt7uXkK93Onu7WX394dxDXDl3VVzeX39Vr755i3OJQqLjk6rY/dnP/Dujo1UFlSASERMVCgdPT2cPXy9nzkZ5OzMd38I8mdGpsbkP85j+/fvkVxQgIeNDWUNDdx/mMaIyIH88t0h/CL8+tvdv/hYSHVqmpu5fvouMXHDeJaUyYjYMEQiESN8/Zg27S2MTASWaPiUcEKCvHmUnMHcyaO4/jgVnVbLtT3XsXG1YfjMaDQaLYmnhQrN6+8swszIiIzSUmJ8fbmYmspgNzcqmwT7veSsPObGRPGyTkhnenp7Kayt5dKvl1m8YQ7GBgZ/mafwt+h90OnoLwV1dXSjJ5H0v/BlDQ04Ki2QiMVUNDaSlP+Cwa6uGBsYYGRqhLmREQ1tbTxLFCThV3/5JhMHh6IwNhY8HI0MOHPkOmvWzMbOzQ5zIyOCQ33wsRN2ncb2djKTs1m/YjZikRilsZDDGRkYEOjkhImhIcre3n6ZK0elkpbOTrzt7KhpbmbwuMFIJRIa2tow1NdHq9XyID+fAVZW/TTn+csmc/NWMi/r6hjs5oa+VEr0zCgCHB1p7erC18EBPYm0f1HQ6XSERAbgbGFBxr0M1HGxGBkYoNZq2bBmHuVNTdiZmfU3LN3IymJyRBjX91zD2MCA8YvjMDYwYM74EVSrVFiZmlKeW0ZnHz+hvKkJfwcHDPX0hPNqNDgplbhaWaHT6biemYmJTIa9u+CCbWNmRltXFxODBbA1t7KS0QEBXE1Px8zSDAOplOri6v6SoqmhIXoGeoR7eAgmJvb2zP5sLjcTL5LQ/YAetRoHhYKLhwQ5NhuFOa9sfJWm6kaMTI1YMXMC6fHpPCosxNfeHgM9PXrUGgr6jE6SUjIZHTUIfakUK1NT9py5iu0AWzasnI2hvj7hU8IxMzJiatRQ4fv5L5j/5irS7qRh42rDrPEjMNTXQ2Esx+99B9RaLQfP3qAjvIeZcYKewoPnuRze8x0TFo9ltL8/T4uLAQgb7C9ohlqY8uzmM56mCMDk5k/XYKSvj5etLS0ThwqduyMFwVeJWMy0aW9x4cIO8ioF9StrU1OeV1Rg7+GAgZ6UWcMjySgtRf7uLFJvpRLk7IxYJCJJktT/niqMjYn190et1TDYzQ1rU6Hb18PGBjcra6QSCT19G5G7jQ1Bzs5UFlVhbGCAgfSvT/W/RaTg4eenO375MhZyOWmlpTgpleSUCw8vysebm0/SUPeoGTE4CK1OS1FtHY1NLZiZyTE1NGS4jw/5VQKod+Z8PI+vpzBlbRzBXm7IZbL+5qd/uS/fvZXSr0I0eewwmtrbefw0myVTRvPgxQvaurpwtrSkuLYOpYkcE5kMhz4fxprmZgYOGMC1jAwGWFlx/3EG4QP98LG3o7OnFzMjI7IrKjA1lJFbKdzTyd3niZoRhc8AJwqrqrEyN+PqsdsERPkzIXwwV5OfoLA0J9xD6KA7cysRrUaLf6AH4R4etHZ2UtLQQHNHBxtXf8zoWVMJjArof36TB4aw++RlJsdGotZo2L/3PGNnjODojtNs+vr1fnOdfy28Mn19ivqEYeNzcogLDeVxURH7/nmCn354B7FIjFan5fbzbEBITwykUm5cSmTs5Cg8bW1ZOudtbtzYx5GkBwS5ONHdq0bZ57f5orqGwqJy2pra8A5yJ+1BFp+8tpjp095i8ceL8LW3Z+8fZ/n0fSFyMTU0ZGTMPD775TMqauvZ8f5Wln6wFitHK3zs7Tly6DLDxg8ltE/6zEIuZ+P3ezAyMUJpq2DNjEkcuHWXz1es5fz96xz84xxWTlbkJAsOURNXTeSPT3/h9MVfya2q4sePf2XIhCE8upTMrVsHScx6ip5EilQi4f21glX81NfjmBw2iNauLk5cisc7yJ3Wjk4KUgvo6ezBzt2OaSMj+/sOkgsKMDMywtTQkNOnbhIRO5iHd57iEepBsOsAvv1kN5u+e6vfQGjkyIV88/sm9v98iqiZ0ZzdfhYjEyPUvWpGzh+JvoEeRZkvCQgXeBCNtU04OtqQcDWZlcuns2HVV7gHezBr8QQunLhFfWUDUTOi+jfT1NupZD16Rkj0EOLmjsZQX/8v8xT+I9AoEon2ikSiWpFIlPVvx46LRKK0vp9ikUiU1nd8gEgk6vy33+3+T+f/n/E/43/G32v8lZhiP7ATOPCvAzqdbu6/PotEoh+A5n/7fqFOpwv5f3ITvb1qUvMK0el01LyswXXycJrrhFOeLkng4bkH7NzzGbv/PIulgyUens4Yy4XcTKPVkldViUxPUMqJmzKCwrRCBnq7Y25sjFwmI72sjCFubgzz8uJKehrtqjZunxSs6JfMGIdOp+PoT3/Q0dpBb3cvJdkljFkyhkgvT+5lPudJbjmaPnZcVWEVft+s59L+a6zZsIA5o6MRiUQ8eFFATnYRc8aN4E7iU6LDg3l0T6CcRs2IQt3di9LYmLweNXnZL3H0cuTR5RTcXRx4/iAbBw8H2loFUEksFhE1JAR7hQKJSIRcJiPrxUtqS2sZO2caqtpmzvzzLMamRv3P0NjUmF6Nmsa2dha/EkdNczNOvs6cj39AXXk9m9a/0s/wy66oQCIW0aPRcP9cIhOCgti/4yRN1Y1ceJaKu7U1qo4ORvoJu9RHn//M8BlRzJkrPKtHhYWUleVS19LCo8uPmP3lUOKzs/nzV0Gv8Lsv36Csspaj239n8qK5iKUS1BoNWq2a8sJKMhIzcfB06FeW6ujuprWlkduXknANHICNjQtdHd0McXcTxE961Dy88Rj/5QKQWd2soq6klocJ19jwwyZyKitpqGwgbt5KUjJySX/wBLncjIYGIVK7tleMT0ggL+vqMJXJuHFtP16DvMjJTsba2oXLNx6wYvZEunp7SUgQuBMOng7MjByKiaGCs78d4c0f3qeqsJKWhhYsHSypK6ujV6PuB5PvX36IqaUpY8ZEUF9ez7OHmZTnl1OUXsSUnz8kfIrA1h05ciEA8fGHSc9bgo2rLY+vPebq5d9545OtPL2TTNb9THQ6sHK0wkhfeK+ru3u5fe4+KbcTiJ0ShZHcmIZKwSn7zvlLSCRSXANcCeqLLGRyGTU1xRSlW1I6qp7izOK/PB//j3wf/u24CCgFRul0uhf/1ff+0zAyMtFJpfr84/sdjBw1hC/e+LZfiXfd1+tIvvmEyLFhZKe9oKO1gw/XLiQhL4/vNvyIgYGM3w9tIT5bCHWnhoay6Ye9uAW6cXzbQQ6d3sGB09cZPyaCssYGrh68ibG5nK72/4u2PHL2CGoq6hgbMYi3V37JkPFDybyfybc73mPtko+xd3UifIqASnu4ODDAyhIzQyM+/HgHC9ZMI7+4nHkjoymsqcHW3JxtPx+htb6FshcCL2D558vJePic0KhAzu6+SEN1A5NWTeLC7nPsPrCZH386RPXLaoZMFMDP1TMmsOGDbYxeMIpejUbIXe8+5PCZnViamPDR5t2C32Cx0Fsxfvl4FgyLpLiuDgsTE0rq6zA2MOCPfecZOyWqn7NxuE8tetXU8UyLe419x77ju20HmLt4InkVlaTdSePrj9fwtLiY7t5eEuMF2fyGqgaO79nB71dO0drVxQdzV/DW119y/1QCcnMT3vhkGR+u3sib3wmiKZGeHny77SDqXjUXj+5n86FdKOVyunp72bjiA7Ye3EaMry9bdh0GIPFCPEs+XcH+Tb/R0FDBhVsnOHDqGktmjefGkzSqX1Zx+rcDXIkXJuyC6a+x6MPlpMenoy/Txy/SDz0DPQa7u7H9x0N0tXbiG+GHjYug23nmn2fwi/DnxbMXfLfzfXb+chwbFxuMzY0J9HXnzKFrRMVFEuDoyC87BKDx2umj/HHhIDqdjltXHzB6QiQSsZiWzk7KK2s5//MZIiYP490Vwv44dvRi9p7czu2UVGKHDGTk4Bj2XDlBgKMjSfn52JiZIZVIkPSF9+l5hayeNI72ri7WvvY1rkGuvPfqPApqarl09T45D3MYNn0Yw0KFqWRmaMiXn+/GZ4g31gNscLezJeXJczS9atS90HnmqQAAIABJREFUGpbMHMcnH+3g3U+ElCyjtJSC1EIyEjK4deMg28+fZPHw6P/vvCT/7fhw4Md/Xajve8+BfASfyU90Ot39/+Kcq4HVAI5OToNSnz/neXk5/o6ONHd2YtiXqxkZGPDHycvMnTyK1JISRCIY7OrG05cv8Xd0IK+qGkelAksToa/h9O1EbJ2sCXFxwdnCgsN37xPm7UFXby9KuTE9ag2lDQ08zxS0BaeNHoa9QsGOY+eJjR5Me3c3YrEYM0ND7MzNeVRYSFtXVz/ynVVejkxPj6KKKhTmpjgoFDhZKEkrEfQAwj3cKaipRa3R9De/+NjbY2NmhkxPjz9OXSFooDelFTXMjI7AzMiIPVdvYmRqjJOloPFw83ISr74yHbVGQ0NbGzI9PfSlUixNTDiV8ICGigbsPe0xNhKipYnBwVQ3qyiqrSPG15dzT59ir1DgqFCglBuTU1HJi5qafs8BT1tb1BoNbV1dnLh1n9ERoTzKzcdYboRYJCIuNBStTkdTu1DeupX5nEgvQdzm3L2HLB0/io++3MXWz1/jWUkJEpEIT1tbejUC0FjW0IibtTUXHj0m3Nebrz76hSXvzOX9xW+RnHINtVaDn9egfo8FqUTCt3uOMyJmMA4KBaeu3cPRw4Haslq8fVw5uuMMb328jMwSwatyYXQUcVPWMff9Bbx4ks/a5TP59cA5KvIr+OcP75KYn8+VY7ew9xAqRr4hHhhIBeBz2x8ncPJx4s7hO3R3dmOiNCF80lDmxQ7nZMIDjPqir0AnR7p6euno6SHpfirXDp3Dxs6FupoK5HIFew5vxlDfgJ0HhegoZmQYf+48xYI10/hszSb2n9zOG8s/x8rehg2fLufa7WTsPRz6qwk2rra8t3oexjJDTiQ/pCSvjE9ffYX5S97lnU9X0N7dzRdvfY+ZUsCy6mtqmP/+YrISs9j80av4+YQRO2kO73z4Cr/sOEbMjGga6lX8uEEotyoUtkxaOovoEYPwtLXlt4Pn+fyNpf+/kJfmI1jP/2tUAc46nW4gsAE4IhKJTP93f/jvtnFSQ0MWzlpPdXMzhvp6/LzzGBllZWSUlVHX0kJbczsHTl2jIKcYnU5Aw3/fuI+Tl+5yft8V2ru6aWxro7GtjZVTxrJv0142f7qLLbsOE+DqjExfHztzc/QkUpbNWMuLgtJ+W7oL8Q/p1ajp7ugm8UkmT9NyWTZpAYsmL8NAKuXnj38j71k+RbW1FNXW0tbVxVB3d7ycHamprsdBqSSnohKtToequRVFX/XiZWU1j66k8OhKCt29vehLJDR3dFCUVsg/lr6DTqdj8dx3UbW3Y2wm5/s3PqOjp4eOnh4kehIuJCRT29KCjZkZWeXlLJq6EgOplHkjoynNLqH0eSmZD5+T+fA5Te3tuFpZ421nR3t3N4MGDCDCw4Odu45TpWqmuL6ecYGBVKlUVPW5Gb+69ivqWltpU7XhqFTQXN/MZ0vX49W3YLR2dlJYW0dhbR2Z9zP5+svfScjNZeXksew8cp7cJ1nsOHKO+DspWJmacDI+kSOX4zlyOZ786mrau7t5npTNgsnL+Pyb1xnl58fwCZM5mpDEzsPnOXb7PBdTU7mYmsr2Y0JvyY6Ne7mcmMKCybH09PQyPTaK6sYmOlo7mDp8IuV55ZTnlfPbxesERQ8k424GOh0k5ObiFuzG4tdnsmrVJtKf5iLV12PYsBCGDQvh1M/n6ert5bcTlwiLDib5YjLtze2YW5kzcv5Ibh26TVN7O+3N7dw7fo97x+/x0bpv8bKzIzO7EFWditWb30QsFjPztXmExAzkXk4uyQUFzJ82mvnTRvPnzlO4BrmSnV/M+h/eZfbEpcStm07EtEjqWlqZO3kUowP9iZoZTdTMaFS1Kta+9jUnkh8yNyKS7KTn/Hb9CvNen0GlSsW1q0mExoYx680ZzHpzBl4hfqybEoeTtxOH7iQwY+kq8jMyqe8TyrE1N+fIt/s5dOUIh64cYdqq+Vw/fJ5HjzL56P2f+qPKvzL+j0uSIpFICswABv3bRO8Guvs+PxWJRIWAF4Iz9X85ujt7iIqL4cWzAr5LyWX6wnHcvJwIwDO5IbdPXubo+V/59tv9qGpVuFhaMmVtHFq1hohpkcj09dH2pRsNbW3Yuzkxe3UcMj09BlhZcS83l+mDhQXylY/Xcu/EPZ48EkpJ19++zIvqGg5u28H819ZSkl1CYNBwomZEoUPH2CVjyX6QzZlqgRbdVNXI2O0BHN9/iZjp0ZjKZAQ6OXEvN5fq4hrqB7Zy8fQdBo0aiKqPSt3a1cUfJ68wc1IMbsFuWDpa8jLjJTKZEZllZVzafYmxM2eSlSr0Glg6WDIkyAc3a2s6enoY6u7OrLVL2X3qMnr6UmpLa3n+NBUDAyFScPRyxNpaiYulJdUqFTJ9PdJLSzFRmnLhVhKqWhVTBw0i0tMTELoeZ78+DUsTOU+uP0EzP47EM0m4e4SSVV5OY3s7tS0t/a3TeSl5jFo4imFeXqQWF2Mol/HyZQaTx3zB15/uxnnlPAxNjUi+LFB4d874gD0XrnPs953MWLyKPw9d4r11C3iZVYSphSkSPQlZ+UUM7+sK9bS1Ze28twgMG0JzXTPvv/2D4JkR4E/QABeS7ZRMmfsKUyYIRKH2rm5SLj/iyvn9fPjTTzgqlcTfSiHzXiaR04Zx+Ps/kEr1SLwq9EqYmlpy9eANZq+cgpOFBQd/38Irr33KrQsnyXySzIjJEzDQ02PG6Cg+Wy0oKU2augqNVsvKKWMJ+nAY/sO+JyAqgJxHuShsFDy8/Ijlq6f3l527O7ppV7URFTWQY3suMmLyRO4dv4e+oT4zv9vAmcRkZg2P5Ox2IbK4evl33v36J0ryyli26jP2/bYJ1yA3Tt14jMJaiVgqxtLesl89ymuwJ/OWvsufW3ey6+Qu7hy5g6WlPQpjY66cPExpTimhI8KpaBJK59XF1dTXlXPn2E3GLBrfz6f4K+P/DU9hNJCr0+n6ryYSiayARp1OpxGJRG6AJ1D0n05kY6lgzeKppJaUEOLiTGdPL8sXC0YhSrkcrVpLQ1sbo2aPQKPV4qRUkqLTMWboQF5U1/STmgDOpjwhfEo4CiMjgl1ceJCfT4iLCxmlpbhYWjIk0AcjM2P8+0p6UokEZwsLlmx4k7Gjw1GNHIQIsDAxQasDH183FLZKRgUIRidZ5eU8KXpJ6JhQAKqamzGQSuns7sErSCDSjJkShUQsZuRCoeZtZWrKzEkxGOrpodNB1Jgh5Oa8ZN2qWdgrFGROjcDM2hwrc6F34MSuc0wZEU5TRwf6Egnt3d1MnzAcSxMTDly6hU+4L+MDJvSXVWeHD6WhrY3alhZCXV258OwZAywtmTF1JAMsLcmtquJxUVE/KOZjb4+ThQVqjYbIqZGUNtQzbvk4NGoNvb1qhnl5odPp+pt3pr01jRH+fnSr1SQkPmPdvDhSb6XibGHB+k+XcyMzkxlDwxgXEgTA7eznzBsXg0z+T6KD/fn4jR/InVZJQcFTTp7+EY1Wi7ODGzW1ZYAAFk9fvYCoqIHYm5tzoEfNkIhA/jh0gcmTh9Pa1Mbbn6/gXoogNbZ2+kS2tXby9cE9lOWW4W5jQ7KpIam3U/nqw9V4eblw6veL/XoTg4YHIxWLifD05NCtu/x47AS3D97C2zsMuakZgSMEFenjV+L58aSAKQz19aK5o4N7ubnMf20dB7/ag4GBEW1tKvT1ZRw7swMTQ0MO3Lor3NMHi/jlm4OYzTEk91kGuw59y9srN2Flb0N1czM6rZaM0lKMTIT05I1PtvLeq/OwNLfit+tXcA1y4/M3lrHqja94873FaHQ63lu5sR/7enwvgdVfvoXcTE6oqyv3bp8kZvQcJGIxMeOmM37pWBrrVXy8VPB3kMmMmbxgIdPmjcXVyopdtWf+0zTsH/9xUfh3L0mRSFQOfK7T6fYA8/i/pw4Aw4EvRCKRGtAAa3Q6XeN/uoaqo4PG9nYeJ6VzfNc5tm5dz9Fr8QAo7Sxoqm0iwNGRnd8e5P1PVvC0uJhpw4aSX12Nu40NL6qrSXgqdEmW55XjP8yfYBcXdDodzZ2dRFpYkF9VRU1zM27W1tyMT6GxSrgthbERT4pecuvYFSzslJTnlzNr9lgcFQpqmpvxsrXl/o1HqHuEfPn+6fvMXjOVa39cY/rrUymsqcHM0BAnSwtOH7iC66szMTU0JOtlKRUvhPVSp9NRV1ZHYLAXnoGCXHzK/XQyy8pIys/n2e1U3v90JZduCkSVeeumo9ZqKaqtZai7O61dXVibmrLjwBnqSmsxMJZx/9T9/k7SQBdnDu67QG93L+FTwunu6KZMLMJY34D86mpynuUTO2pIP09B1d6OXCYjraSEF89eEB0ezI19N5i7YRYvMovIdCnrZ14C3D54G/+PnbAzN8fG1ZanxcW4D3Sno6eHrR/uYtfvn3Lu8VP09YTXadrgwfx67irX91/D8nMF/sP88LG3Z+qSpRxNSGKIjyfrPv6SuzmCCpGvvT3bPvoQ1foP8BzkyZMbj0m7k8b+w5tJys9n4uqJlDc2EjNEIE9lV5Tj4ufMqW3Hee/7t7j08DGHf/yVacsX0aPR8MO7PzF+6WQu/C6Yx7zMfInSTonePCmmSlOOfnOUqOlRVBRUkvM4k5LnxXT7eLNgcixvrRFMbxsnNhIc6sPE4GAObD7Mui1vkJmczc3jF5nx+lx27j+D92AvtH0VHblMhlgq5mVdHc+fJ1FUW0tOTjK9vaFIxGKu7bmO/N1ZqPsIak/vJFOwYALzl7yLjcKcUzces+qNr/ht+0d0d3Rj525HQERIf9Vg8QerMTWTU5CRh1arZcGr6xk4eiDdajUyYxmHtxxly8/vod0sqFP19vTS2drJT5/+zgdb1lKWV/afpmH/+I+Lgk6nm/9fHF/2vzl2Gjj9l6/eN5prVTzKzUer0fHs4V20uje5e+weAMEjg7FxsaGrtwe5Qs7DnDzihobR1N7Gjo17+WnXh0R6enLthICsL391Jk/zCqhraeF+Xh5TBg7k+70nmB03ColYRGVTE48uJeM5WAAOpWIJmdmFDPD2wtnZjgfnH1JUW4tYBL72Dn0KyvSbnngM9MBSLmf8yvFYyOXIZTIclUp61Grcgt2RiEXcepCKtbM1vX0Lib+zEz/8cY2gEG/crK1p7+4m7Y7QHjtobChKWyUSsRhJ36TysrUltaSEET4+HL2VQOyQEEob6tE30GfcnFFcOnQDiZ6EdpUABB7+8xJRkyM4t/si5kZGFFY2MDsqnJOJydSV1eEz0JOsohK8+licRbW19KrVDHFz45ajFebGxrgFu9FQr2JgmB+XryXS1tRGzERBqVir0ZJbUYmfgwPRvj4cPn0dJ28n4rOzaWqow8zIiPT49P5FShsaSsa9DHQ6DQVZL5kxczR7z11n/sKJvLn4fUy+28C65TM5fvUuALUtLYSFTSQ94RldHV2MmBPD4yuPEYsEgZryxgZuPkrFu+/+bz18xro1c3jlzgOCnZ25eOwWQYMiGREbRlFtLe3tzbj7OBMwRIjmslKEjttHCWm8tXwWB9V/EjYkACdvJ1wDXRka6sfjoiKifXxobRbA4dTbqZRmlzJgvSUu/i5MHTQIrU6HVF9KzOAgVn+/Hok0DlFfeJ+sl0fk1EhG+wewaO0Gku+lMnXRK0RPicTT1hYbVxtSb6X2e0Nm3c/k0tX7vPPpCipVKhTWSt58bzHdHd0c2PMl3+w5ileQe7835NBgXzp6eggbG057dzdLXpmCCBE2Zmb4Rfrh4ueMVCLhlQmxgMCAPHv3AXU1FaTmFeLi5/KX5+PfoktSIpVw72QCphamrPh4PSdvJWLhYIGFg4DGVxZW0qvRounVIJZKyCwrw0RmyPIPF3Li+j1eVFejtFWitFVSrVIR6uWOkYEBzpaW3MjKImZkGBKxCBtTM6pUKma8PZPGqkYaqxq5l5tLa2OroPabV4xYKqa5uZX04lJqW1o4fP4WHa0daDVatBotTdVN+Dk4oKpRkV9YRrCzM99+vx8zIyPEYhHedvbIjGSoapqoLa2ltrQWdxsbHL0cefIwk3vJqdxIfMLmHe8SMioEkVhMY3Uj1xMfY2phiqmFKc6Wloz08+PrH/azaKzQiRn/UOA8VNU2EDo6FJ1GR0drJx2tnXgO8qCzp4exy8ZS16hi9dTxFNTUEhPkT29PL/kZhcyOjqS8sYHyxgY8bW1p6uggt6qKpuomnJRKuju7cXWyw0mpJCIqBPcQd2J8fYnx9UUilZB0JhF9qZRHhYUknI2npaGFq3uvUVr6nOMPkylMK6SlQdChSCkqQt0t0G2TLyZz5XoSy6eN41FmDl5BgTQ1CFL16fFppMencfafZzHpU8UqzyunXdVOR1s7z8srmDfnfW4+SuXeiXt0q9V0q9UknU3io3e2IZXqs+uQYBRsKJdR39ZGSlYu7e3NpD14TltTK21NrYhEInyG+vDs1jP+vHQTK3tbCsurSL+XQUt9C+8t/4jMB8+pVqlwcHPGwc2Zuqoqlq+dSXppKfXl9dzNzsba1BRza3Myy8qwsHCgoqCS5XMnsXzuJJLOJuHsYEPcpFV4DvakPL8cGxcb6moaePvjnxg+M5ply6eib6CHvoGQRuY8zKG9u5uHd58hlorR6HTYudvxzZ6jfLB8LnU1Ddi722Pvbo+duTlnD1+n4NkLnldUkFtZRVpxCWte2UheisDcvHo/hcdFRTwuKuJy8hMMjAzo6Ggm6Uxif9ryl+bj30F5aceuXRvHzppJZkImk2eO4lF8KpaOlphamLJ03kSO/HYWuxBX0pIysXe3Z9LgUH47dRlfd2f2fXuYoOFBBPm54+npjKOFkuScfDJeFGGhMMPL1gYbM1PO3k4izNeLwyev8+TaE5rrVHS2dtDa0cmapdO5d+8J46cMJ/HaI3wj/MhLySUqLIh9P5+iOLeAde8txcfPDbVMQkJyOl5+rvz88TZWrJhHREQwp+8/pKGqkSJVA8ZmxpzdcYqK4pfUVVYxb+FUGuhh3rgRrJi1GAuFE2npeYyKHUqQqzMn9p+noaKJyhcVlOWUUq3rQqkwZVJsJHKZjM/+sQOlrZKVsyciMzTg09X/wNLKnp6uHjS9Gt57fSGBTk6kFRQxNjSE0sZGvGxtKaitZczQgRgrTZDp6fHrr6dJT81j8GB/HmXkYmdtwcGfD1HV1U13Rzedvb1UNTYx0NMd/wHOaLRaetRqTh+7jsJWgYOXI/FXHxI5ZRiJpxPZ+uM7iMytGDYoADN3K2aMG05oiA8mhjLkrlao6lqJnhXN0xtPmT19NKvnrWPD5reYMmQwn2z8hfc+XkH0yMGMGh+BSt2Ne7AHJgoTPAd5YmFvgYuTLeGxg/hoxXpmv7GYmiYVlXUNjI8bzr1LSfgOCeDWqQu8vfE1Ei4nU1dRz8QJUZg6OvDk6mPsPR0EZ287a6ycrFm0Io7m7k70ZPp8sW4tErUJSltLFBZWbP10HRWNjbSjxsrJitCRgxjk5YGNmRkXTt4m5c4z4i/d48Senzn350E27dlKxLAQ0ktKKK6rQ24u59xvF3l36xv8uvE3Jr8ax6+ff4fS0p75SyZR19KKg1LB/btPaapVYWJugvcQb/7YvA8bFzv0DfQ5uPMoFnZWhA4PJnbqTFZPGk9vg4zs5Ock3E1FrpBTXlBC3MxY3pr3Gs8fPOetrW9w/egN3n5nGQd3nOT2+bsk3kjmwqGDmMltiJkxGomehMfXUsjLS/lLykt/i4YofQM9RscORd9Aj7t3UvAJ9+nfaQz09Jj19izCPTy452zN4tgRiEUiZo4bjqqjg7FLx+GgULB7x3EAfCN8mTo8HLFYjMLIiCP3EpkVFUFXezctnZ1MjYshI8gVQ5mQX7e2tJNfVYX/MH9szMwYGDuQccFBeNrZYmZkROyiWMEMtM8noqyxEVWtCn2plMhxsRTU1KDRahkXNpAT9XfxdHZgqLs7mZEZmFoJwKG+VIJET0JBbS1zV69j2LghFOSWEOLsTFppKeETh+E5yLMf5xgfMQhrU1Ne1tVR2NtL0IggRkYPolLVhFQiYdLCuZjbmGNiLpQ/u3p7yamsZNdH3zPk7K+8qK7Gx86OIW5uNLW3Y25kxP5jV/rJPDqdjknDwujVqBk1azxOPo4Ymxsza9xwwR2qrY327m48bYQefNcgN4JigvC1tyc4OhAbMzNc3ptPY1sbtaW12JmZcauqEdto4f+VSiQ8KijEL9IPe1tLxi8fz82sLKavWIxIJOrfuW8mC2F99KAAVLUqDOWGOHjY42ih5MiWg7w+N45LaWksfOs1HJxskPdhIg1tbXiGeuEZ6oFcISf+Tgr3751h37XT2CsUaHo1vLrxFUorhAaqF89eCF6dOS/ISnzO+LmjmPvKeoZOHIK+TJ/sh9kU1dYil8kIGShUXCrqG/jnrmMsXDSRkfNHoqpVUVtaS0NDBdETx9PY1ELagyyu9blOn76yj5LsEkrr6lGpavCwt8PQUI6lvSVNHR0knr5PkiSJUXNiADDS18fRwoJE5X0GRgchEYvpau+iOLMYpZ0Se3d7Jk5czZUrwhz+Yuef2LrZYu9uh55EysT583APccfYwIB5HyxEq9USty6OpzeFZzpozBCmTBnB3aRnhI4IoTTnr2MKf4v04X/G/4z/GX+f8bdIH/bv3btx9qJFdEp0LJkYi63SnFAvd/xdnTHS1yMxJZNn2S9Q2irR6omxVyhYPOcdIseFY2ouJ6e4jGWzJxAVNZAIP28OXLzFg+QMPDyd8XN2RCwSE+jtisJYzoFT15AZyWisbqJV1ca0ERFYm5qQllNIcVUtISHeXL+XQlVtA8FebjR0tqORiPBzcUIsElGpUhHk7UZtSwveAW4M6rNK27b9MCKRCFd3R3o1Guzc7OjSaTA2M8bH2YlQN1dMZDJySyvQSUW0NbUhlhtgbWqKTGlMcX4ZNs7WGJkY8ub8N5gwexJWJiY4W1piojShtbOTQCcn2rq6uHU5CbdAV4xMjdGT6TPEwwMHpZLw8cMx1NdHKZejlMt5Xl6OlakpT16+ZNH4kbi7OhLg7YalXM6Tly9p6eikrauLQG83yitqSUpKpaG6ibiYcOQGMvSlUkQiEdmVFcQMCqKsoQF9qZSBAwawa/sxvII98PJ3pbC2htGDQyhtaKC+tZXtu4+zfv50MkpK0UlEtDW34+vixJGdp1izfCatXV1sfvc7lq2ajYONJcYGBlg7W6Nqa2femBF0q9VEjBnKL7tP8vrcOE6cuIGhuTHfbfiKW+dusuGNFdT3dGJoaoTSTomBoT4xcZMoyC4mLNAbCxsFt649YFCoL0ozE9q7exgTHoq+TJ8JsRFkl5Rx+/hV0EgwtTLDZoAN3Ro1H676nIDhAwXfTgMDYiIHsv3bg5hbmVFbVseBXd8QNnQ8LfUtvLN2Pv6+btiGejNk7DDsFGb8sOl7ftz0Phl5FcidlPS0Cpbwr86djEeQOx6BbpSVVdPZ3kV9nYogD1eOHzhHS2MHUkM9rh87x7R1s4kZFkqI2wAS7qYyZ/UqRk6czmevL2WAYwg2rraMGzyQrz75nqr8Ot5cOZvzF+8SEuhFdn4x5fnl9Hb30lDZQFFRBbOmx2KvUHBs32mKitL+Uvrwt1gUtv64bWNaYgmeA70IGODMt9sOILEypqyhAY1WR8KNFCzsLGiobEBiKsPXwZ5r15MxdlRw7fAtwqKD0SHYn5kbG3NozwV6u3qpbmuhTaRBpqeHRCyhrauLrR99T9CwgTy9+YyakhqadD0M8vHk5q1HiMQiKspqOPDDTrKS01i1aiEbVm5CT18ffSsTKlUqqmsaGBMiTJD8nGL8PFzILCvD2tUGtVZLXHgYGWVl5BeW8fTGUyoLKhkSGSQYgnb3cHzvJS4eOEzc8pkc3X6aiROjePI8n12fbyV68hh0Ohjg7UWXVNcv0vK4oJCvX9/E3IXTsDU353bCE1pVbVQXVVNTXINvoDsmhoao2ttRyo0xNzZGXyrl+JV4FJZmFJRU4GBtSU5lJfWtrTgqlfzw9T4iokNIuZ/OtNFRJD5MJ/7MNda+swxrU1M6enqpaGyksb2d25cecD/+CT4DPRns5sr2P8+QlZSOnlLO82f5xI2M5ML9R+TmvKSouIJBUUHoSSWcO3KTs78fZfnqefg7OnL3QRoaGyOSHqSxfN088quqqW9tJT3jBVqZhDuH79Csr2WonxcJTzNZPX8Key9cJ/VOKpeOHmTxhtfwDwuhpL6ex9ce01jZQE1xDY6eDrSr2oiOHMi3X+2hqaOD8rxyvEI80Gi1XNxzBc/Bnjx+lEVFs4pnN5+hqmsCrZiAqAB2f/gTq1fOw3iADU9vp1KWX07S+QcsmDeBFgMdOY9y8RrkibjTnJDYEPQM9NAoZNS1CopV1mZmfPvFHwyKCedRVi7+kX7s3fgrkVOiMbcyQ0UvrlZWWMjldOjUmJrKeZaQzo3LSUxaOYWv1q/B0syNGa/NwcJKgb5Uyt7fziBXyHENckWukDPAMYQdW98lPHoclb3taHtEvHiehctQf5IuJxM4xJfv3vuW1R+twCfYA1VzG5mJafTK9Dh35DpGxnIyUhP++2AKnW0djJwzmiPf7qfkeQljZozgxM9CrmbhYMn+nVsorypmbOwCXmYE4G1vx9IP5qM0NqY9up2GltZ+A80X1dXMXD0FR6WCrp5etDodyTn5hPt6YWtuzqtfv8XpH09z/75Qw371nXguPUvljx828+YXmzn7+0FWffoOhiaGtHV1MW7JRPZu+YmKfEHfoaaiDHdne078fE6oFsyNo627i/KXleSm5JHgPYBdn+1Faafk2cMEACxNNvDuP34iYlokBkYGLHx7LcU5JYxeFMvDggI+X7WO1z7dxJ9f7AFg3nuLmBAcRHx2Dq7KNpFJAAAgAElEQVRWVnS1dbJuyzvsOXUVmbEBJTnFPH16DZFIyP4cPB3w8HFBq9NRqVIxaMAATqekMD5mKGcvxtNUo2L5uFjK+oRiXtbVMemV8XSr1RzY8T2DY0O5sP8oqzetJyEplbwBgqrRrCihJHn/+mXmrFvJCF9f3tm4A51Wh4GBIUPDAtixcS+tC7qQSMS0twg+F2MDA9n661HOHPqVjX/8zKuz13L5zgmqistpqKgnOjKE86fvMHmGUJ4zkhlwaMtRAkcEUv2ymrfWfkPgiEByKisxt1Fg7WRD3LotRAb6AvCs6CUNlfXcvX6GBetex9ZSyb2TCZS/qOCjz1fxjzd/IDP9PhdO/AHAoEFjefr4OcGDfDCQSjn65E8UChvSn96n9ZsWrKycUGu1zB0ZzdLfrwIwdNJQxGIxK8ePxmT2HNaYfCmY5hw4jbOrNwWZRQQP9sW5D2sytzKnqrCK6NnRHP/2CMs3reGfGzajVNozfu8mMkpLifX3J+GqoAaVcjuBqSvnkJWYxZa9B/lz607kfTyEsLHh1BRX01TfgL27UIb1CvNi0479fP7GUtQaDWf/eRbfgQOFRe/MHmzd7Bgzdwq3zwu9FYXpRbgFeFKUXoj/MH8y72X+5fn4txBZCQwO1q374humx0TS2tnJe2u28Mu+jQA0trfh5+CIqr0dkz7D0z9vxrNgZDRt3V18/e0+1qybg5mRUHKxNjVlz5WbTIwMo7mjA2dLS6RiMbExc7kZf5TcyipCXFzo6hVUiOImruLk+V0Y6Em5n5dPtLcXe87fwNfPjaq6BlLvpLH5kzX92ndqrYZ3Xv2Gt7e8Sm5hCQtjR9DR00NhTQ32CgU/7TjCd5+/zvmnT4nxFV7iM4nJzIsZRn1rG3fSMmmoqOftxTPZdeYy3j6uRHp6sP/ybSYPF5SC9CQSSvpUqGV6eny5bT8SqYTI0YOJ8fVFLBJhoKfXbwaTU1FBTXMz9goFBTU1TAgOJiE3l/T0fIaGBaDWaDCQSvlwtfBM3Xx9eO29RehJJHja2vLuJ9vZsmkdx+4mYSg3xMrMFDNDw37ykpWpKT8cOo2Xvyst7Z0EODtRpVLhpFRir1Bw+OodAv09yC8WyFoThgrMd1NDQ347eZlX50zGSF+f3MpKANYu2ED83WP9LtLd6l4s5Cb0qNVklpUx0s+X5o5OFMbGJObn09DaSlleOavmTAKE1u/61laGuLuzbcdhvv5oDV29PXT3qokaMpZTN0+ilMuxkAtAbGdPD6UN9ag1WjKKinG0tsTFyorOnm4M9Q3o7u3FXqFA1d5OZrkAyPWoNYwPCkQsEiOVSMivqsLH3p6Onh5yKiowNTTsN98BuHY/haWTx3ApNZWZYWH8eeMOy8bF0tTexq4/z/He6nno0FHVJ0H3sq6OqoZG5kZGcOhOAgHuLoS6uqLVaoW+kYoKFMZG6EmEfdvDxoZjDx4yLzICqURKaX0dRbW1JNx5wmtLp3P89n1aGlqYNmE4AM0dHbysq8PT1pY79x6zYcksJGLxfx+NRt/AQN2W/ftp6+hkXHAQifn5mPdNcl8HBz76xz+Zs3YalTX1dDS3s3TyGL7bdYTli6Zw6OR1Zk0b1b9iF9XVcuLEDZz9XIiLDKO2pQURIiRiMV52dvxy5jKtja1kJQqaMcvem89gV1e+/mE/MxaMIzO3kNrSOsysTFkeN5atvxxBbi5n0hjBNq6wthZ3a2vyq6upKK5i+ZSxiEQiLqWmYqCnxxB3d248S0MkEVPwTCA8zZw5mp7eXrzs7Fj76pc4+7lgYW9B0EBvxgYG8tm2vdQU1xAzLwaA+ycTeP/D5Vj8q1c/N5eyshrmjIriVMID7h67i+9QX/oCBda/MguNVkdDWyuuVtakl5ZiIZfz8MULRgcE9Ld0/0u/L9LTs1/qbMuPf7Js+VTuPckg91Eu0xaNY4SvLzqdDk2f3Nv2I+dw9HTAw8aGjMJiIv19mDlmDhmZCVxJT8Pd2gZDfT1auwRadGd3N8YyA44fv0FQVACnfjrD1u3v4uPoQm55Cd1qNUunr+Z+ksAxEItEbP7lEEER/hjp6/Mg/imDooMoLihn+NAQ5oyZxfvbt/RLvC8cNZzYmLmMmRPH88Qsfv/zC/afv8GVfefY8uvnpOYV8ufm3YSNFCaI5yBPJBIJc2OjOfvgERn3Mrhx5iTt7Sq8vMKImTWGtQuncunpM3IeCizLsNhQYv39ySwrY88PRynMzcHIyJTOzlZKS7O5kHAJd2sb7ucJ/SqZ6fkUphWy8vU5bNu0hwXrZ/Hbxv04eTvxzrtLSC4oYLCbG2+v/BIAI7kxb2xczpIJc5ixdBWVhZXcu32SBa+uZ8krU8itrOLLVR8wcf48AB5cvcPAqHDK8yvYtvtDnC2tcHML4mLCZV6dt541W9Zzfd91il8InIX8/Mf4+Q1j2aerUJib/K/2zjO+qTPb18+WZMlN7r0bNzDGGLDpvQVI6C1ACIGQCSUJSSAEEkIKyRBgMqSTQk1IaEMvoWOKqcYYbGNsA+7dlptkyWr7ftge38m5k99wzsy5lJ+fL5K2ZWstvdLyW9b6L5KOXmXVO3MfH4l3k8XCpd+kVGJbpZLbyXfQNTWha2rCarXSpDOQk5WH1WKlKKcYe6WSzMuZlNTWknY+jXq9XmrxrlDQzs+f/NsFJB9N5mym9AblVlZip1RS1VDP8S3HaKxvpLaqmtqqarKy8lAq5Ng62NLY1ISuvpGze0/w26bDWEW4/Nt5tDUNUkt0oxFbGxvc1WoC3dyo1zQgIqKyscFktqBUKFDIZGjKatDXN7YkSJnMZpQ2NjioVBTm3eX4rj2oXdUknUrGKorYOdpx+shuzCYzZpMZR1c1uZWSJkJVQz0lZVUcWX8YlUJB+/AQLCYLZrOZek0D9ZoGTBYrtjaS5qDFasXXxRkvJyfSLmYgiiJWUcTWxqZFsh3gxNGLVGu1WCwWSULfRs6NC5daAhFIx6+FGg2mJhM5KXfJKS+nfWgQeVVVaDSl1Ov1yAUZYV5eNDYZKaqupqi6GlulEgEBY5OR7NS7tO0micy6e/hTUltLdlkpA8eOxGyxYLZYqNHpCGoXRL1WR7VWS5uObfBzcSUg1A+5TKCiooA7V+602FWn1+Pq6o2pyURtbSUWq5WQyEAiOrbnzLnrCIJAXV0V/uF++If70VjfiNxGTmNTEy4uanR1OnS6WmQyOeExbaksrESlUODupKZB00CDpoGSAqk9nKI5Y1GtdsXBQU105zgUCiU6gyR66+XkhJeTE9ePXcfD3wOr1Uq3p7uSfiObDn1iCGwbiJOdXYumYljHcMI6hqO0U3I1OYNBT0/i2ukLNOkM9B88iU6DOyEg0GQ04eLiTVhcmCRx7xXI9XMXcfN1435FBW3axHL//i1c7O0xmQz4uLpw4cx+YuK7EBPfBScnD4qLpb4Xt2/koFTZPPD38ZGYKQSGhomvr1jNuKf6ALDp54M4NJ/Bzxg/TFIRcnNr6ZeotlW1TKt+OniSWWOe4svN0h5BdHxbhsXGtoipZpWUEBsUxMdrNrJy2VwajUbKamtbmqyePHOVwjuFLF78Ak1mMzcLCugYFIRCJsNdreaX44nEx0QS0DwTUSkUbD95jlkjBrPpt1NMf6o/i5Z8zqKlswh0cyOtsBCFXE5afgG+zbXwfaKi+PO3WzHqjbTv1R4fVxc6BgVR1dCAt7Mzey5cpm1oYIsOZFVDA7FBQby+5K98sWoh2y4k4WBvR6/ISH67lsLwhM5UNzRQ36xc1N7fH4PJyL2KSkI9PSmvqyMmIACj2Uy1VotCLqdYo+HMeUk0ZfjA7rirpYSmzJISDEYjnUJCsJHLMFmsqG1taTQaW2olMouL2bHzGO+/PpPZc1bgG+bLvJcmsOYvWwiKDuLnv3xDjwFDmfOG1DDn162H0ZRomLNwKidOXcFisTB/+ljuV1Rw/XY2SlslbYMC2PDlTgAUCjnDpw+hscnIxQOXSBieQF5aHqIocvlIEov/soAbqVkkdJFUhbau20N4lwj69IjjwN4z9BvWnVqdjlpNPbXltajsVfTv0YmbuXkA+Lu7UVheScrJG7j6uDJu7CAcVCpqdTo0Oh2Zt++TfiGd+KFd6N5Reo1zV1Lp2y2Oyzdv071jNFqDge7h4aTm50tCwVczyE/P4+OPpC7P20+eY96YEfTuPZ6te7/jRHIq3WLa0s7Pj0D/cHadPYqvi0tLUPZ2dmbf0XOMHNqbqoYGXB0ckMtkNJnN+Lm4MGfmB8xePqNlDLq2acPZO3ewWK0kX7jF+DEDcbG3J8Ddgxt5uXg7O3OroKCl56nVamVwTAw/7jyMpkzD+wtnYa9SPT7Lh4CQMHH2m+9RkJFP/2f74+HqzJXE5u65Shs+X/42yZmpvLtwLVXl5azd+BHHzl4lvks05xKTCYwMYES8lOdusljYm3gRb39P3BwckAkCyddv86cJT6NramLD9kNkXMjg0P7vAUi8dR1RFJk6bDJT5s8j9fQNXL3c8Av3Y9nrM1ixdjPXTiYRHiPtD9RV1bNy7Zus/XwrHn4eLJ0zldzKSvYcOYu2VsuECUNYOucTuo/oxaldUseng0c38d32gwwf3J01H6zHXm1HdM9oGmq0jHiqF/OmvE5oRHRL1WPbrm2ZMW4o9XoDtTodRTU13LyYTmhsKCqVku2rdpCbe7NFIu61Ve/SJ05qGKM1GAh0d+Nizl1EUeROZi6l90tZ9sYMSmqkvH6rKHLh1m2iw4KZM/4lNu3fxLJ5K2nXNYa2XaOIahOErqmJTs1CqbOmLGbQ1KHMnfgM6/cfo0FTz851G9hzYgcbN+9n4bwpJOfmcmx3IgAfLX2JHecu8pcFy5i34h32fruDr376lGnPPM+rq99FZafiVuJNFr4mSZMVVFWzdcN+AtsFIZfLKcgsoNuIrng5OaHR6fh2yZcMnzGanj2kgiiFTMbbs5dTW1tG3+HP8OqCqew7dp6K/AoGju7NkV9Psumbj2nXTtooje6YQLdnutEvPpaC6mo+nvchNja23Lx5mv79pdKeDT+voK6xkfkvvAdA/4mDWPDcWARBwN+3DUOGTcM3zI/cW7k0NjYwfsEkhsTHtVSePjdlKT4h3gyaMpDTOxPp2C+WY5uOYzTqWbflY2obdcQEBPL2x98CcHr/Ica//Dyl9yXJuCO7fqH/U2OxdbAluqeUUXvvVg7Pvi29RzkpORRk5HNwzwaycm8zevhMTCYD3+/8hrjgEFZ88xMZSRl4NSeopSZdRqVyoNtTvfAM9CTneg5fr170+Ei8uzo78srM8VzIzub8wYsse2sWIc2bXF9/tpUVG9YjCAI9RvekZ5cYPlz0JZs2f4S2yUCXFybwy+lzLXp/Z9MyaKxvZOiwDqgUCm4XFzNt5GCqGuqp1xtYPPtZ0p4qpNvT0qael5MTtY06eg18Bm2Nljc/nUtRtYbxXRP45KufeGPus9we1YdDu6SCq8rCSgqqq7l88jTnLuzhQlYWNgoFcfHtuHDyGinZ91i05jU6BgUxYoRU/7/8k+8ZNWUIuZWV/LBuGZUNDdTr9STdus0PX+1g7qdvMiCmfYvadKCbG2V19ZTX1TGovSQpHh8ayoQRLxDTpSvvf/46J85cxSNAKhfXlGmYPelV/rz+Ezav3cE7H81h9/pDhHcOJ+d6DtpaLXZKFXbNm2Jb9xxn8YuTWX/4OG99vYJqrZa28e2Jio+k9H4Z9ZoGDFo90f6SctHYVycwdWAftiVeYOSA7tjaKDEaTPg6O+MT6o2boyOxQUHs0+oBsLVREhUcwNBxk4htH47Hx/OI8vVl/sqlRAT5s2frUYaM79cy/lF+fty+douB4/sRGxjIvJ9/o+vwBDoGBVFSW8NnGz+mrrGRdn6S5LxKoeDZN58n+VgyixY+T0ZxMd4h3tg52lGj0yGTC6zdtZMLuyVNjl5je6LXGvBQS+rfbm5+fLlhORu3HuTG6WReWzkPjU5HgKsrSqW0mR3UNhCL1YpCLuflt5czf/YEqhsauF9ZQZeQUE6lpbf8FweY8+FMSiqkupKsCH86R0dgnGIk9cxNnOzsOHo1hTaeXlSVVAMglyt4frzUedzHxYWCzAKGzRjKLyu3ERwdREBkAK8ukDIVAbpHRlCj1eLTxpcdp84zZ+Xr+Li64O3szIpvfuK9+c+TUVTYshdX9OIoDu5LRJAJPDdiIKdDfPh69YN9Hx+JmUJIZKTYJqArs1fMY2L3bowbs4Cp70gRckB0NJ+u2UT7ntE4uqpJPXWDP78zh2Wrf6Tr4C4smTaPXSd3E9UsnW20WHh72ZcA+If70bV3HEVllbi4SPsAb8x4m8kLnif52PWW19/w/XI2HT9Nzw7t+O3MZY5s2kdVVRHHzu2jQ3gMryz/mDGjpeMzQRDQNTUR5uXJJ59u5I03nsNWqaSivh6QOvPsPn4eXb2O4hzpGHPyiyPxdHIiwseHznEDyctL4/C1i/yybi/frn2br3ceZMnM59h85gQgBaq8knKe6dqF28XFHDtwns1frCa/MAutwcBn67bhFeRFdfMHbMHsidja2FBvMOBqb4/ZasHWRskb73zOh++9TLVWS6PRyO7dkrDMu69M56U5K1j8wUvs2nOSvoMSMJhMrHvvBzb9ugoPtRqL1Sq1dwPu3iskcXsiw2cPJzLInyvX0tn/w06++GkVRRoNA6OjuZCd3XIa0icqkpyyck6dTyY/PZ92PdoxvGc8r856n6nvTEdb00B4SECLPFxGcTFymYz7ZeVUFlYytG8CFlHE2c6Osxm3eWfabIY+PY0F784EpHyUz5Z8R69xvVj/yV+4euMMKbm5ZOcWcviHw4xbMI6tK7fw8idSs9WKkirUbmriQoM5l5xG6b1Szh04joODC6PnjiNpXxIbfngfrcHAX7+T9BTs1HYsmjWJer2eL37YSeal2/QY0xOFQsGeddt49+t3iQsOokgjCenMHD2TDzf+BY2mjqjgAPb8eozOgzvj6eyEnVJJXHAwKoWCXxKlI8Pi7GLup92n5+ie/Lp6M537dSeqaxR942JQyOX8dv4ql/ZfZNQ8SVektrKOravXM2TySFT2KjKSMrhwZj/f7d/Kpk9/5b3Vr9A+IJCln0oC6pePnUOptGXK4uc4vuUEg6cPZtaQgY/PTMHJ3p5PfviAYo0GURSZ/8mfWno1KGQynD2cmTygD5fv3kXlYIvZYuGZcQOIDw3lzqI3qGtsRNa8IXQ0JYWP3p9LbWMjbg4O7LlwGYWNguqqWqJ8fVm18c8IgoC+uet0RAcpO9FGqcBeqaR9bAQDNqygRqfDy8mJxWv+iru/e8vRU5VWy430bBojmghsG4ggCGi0Wm43Zw8ajEbkChl+YX54B0u1Az0jI7lXXk55XR0DR44hostbuDk68PmahQiCgNls5qN1G1u+VBmZ93l5zHCySkukZjE92vFF/18QRZH0oiIiEyKxUdrg6uPa8h6KiBRrNLg7OlJWU4PBaGTNildpMpsxWyyk5RcQ1ikMAKVCwQcr56M3mnB0dqC8vh4HlYq//ric47fSmNyjOxarldjmL61VFOn40Wy6hoWx4O3PmP3KJCwmC0Hu7ng5ObH7ylXGd+va0orvbnkFrg4OdOgYyZ8mPM3TQ5/HxcsFg0HHqM6dsFhF+vccxbXrkjJSuLc3eVVVjO0aT2GYhrTCQrqGhbHhp/0ERQfTrdtIPvvrohb9hQHR0ZjNJrp37cC1Tv2QCZBXWk5RdjEff70IF3sHjnr7UFog1T4M652Ao60tXk5ObN9+jAkTh1CUVYRMIaNJ30THAR25V17OzYICnps6ApDauhVUV6M1GHDzdePMmW1EJkSRn5GH1WqhX9u2KORydhyTSvynL5xP8pkbRPeI5tcf97N25Ru8tfwr1G5q4gd0IreyEqPJ1NKXIbZ7NONGD2DCkIlsPfIrxTUa3p3xJtZPljJz+CA6dYjk2OYjLbUMunod7327nFP7zzN5/BAOb97NsDFTJa2NYC9c7O1Z+ul3fLpUCoRRUV1ZseUL+rVtS1x4G67d/nuz3X/NI3H60EorrTw6PBIzhUajkZRbWSjtpEapGbdyqA6RBCkHdYjhXuo90goLKa2sxmw0I5PJSE7JpH1AAOkX0hk1vE/L2qtzaCj7kq6gsFHQp0M0naLCqGxoaJ7ye/HNzoOYjWauH5eWD7YOKrqEhFB4pwhz+3akp2ajsFGg1+rpHRlJ6ukbhHUKJ76tpG9oNJkICPJBbWtL6f1SAt3dqWtsJLusDBu5HAeViia9Eb22smUTqaZnAnlVVXQLCyP57Hkaqutx8nCirlFPj4gICu8UUnC7gOEvDQdA36CnQa/Hx9kFNwdHdvyWSH11PU/HxVFRX8/lg5cJiAzA0LyGVyTEY2ujxEOtRi6TYa9U4qlWc/bOHRLatAGgW0R4S1WixWols7iETiEhFGYVERUbRrWmnr0379K7dyfkMhlWUcS1eX2ak5WH2WRBbWeHT4gPVQ0NHNr0NxY8N5breXmEeHuRW1mJQi6X7JHJyC4r4/rldKyiiFJpS3xoKK+lniavsgqVjQ1+/uEteRB2SiUZd/OwkclIzy2gprwGHxcXXH3c8PJy48KF3Zy+/Sw2zX/faDZRXJzNpcu3SL+VhEImx2gwcuN0CvH9OlLbkMed9Gv4R0h7Ile8XWnSNzG5b0+8grz47fhFriadQBQljQ7/CP8WsZwjZ6SMw86d2tI9PJyC6mqyrmbh4uJFXVUddZoa0tPPSzM2X19i2ktdvXZtPIR3sDeOdrbYq+25dv8+ujod3iHeuNrbYzSZCPP25uf1+6XPnaMtjQPicHX14VTiNcryyrC1dcBkNKHR6biTW0h2djJdhkiy/1UlVVw4eY17N+9Ln7fsa5SV5TJgcn9Sky5T9OIoLh87R1SU9Pw7d65w4PtDiH8S0VTUtmSbPgiPxEzBbLZQlF1EeLA/aYWF2KvtW0psqxsa8PB350ZaNk5OjviF+1HX2Eja+TS2HjlFRJcI/N3cWp7vam/PqleXcDPxJok30ogJkNqPj+zUiXq9nsxLmRRlFdGkN9CkN+AX4ouDSoWmTMP9igocnB3Y9vl6cpKzqdZqcfZwlop1dDpqdToaDAZGde6MRqdj8Ni+ZJeW4mRnh7ezM462trTz98fN143evTvh7uuOu687vxw6LZ15y+X0GDqQmopaMs6ns+K11ZgtFsLjwjAYdESHBRMdFkx5fjm//Ha6WbhFRt8ecdxLvUdeVRWl+WVoSjRYTBYEmQyhuRdBZkkxfq6umJqzAi1WK2sXf0W1VotGpyPI3Z1+8bH0i4+lwWAgIzUHD7WagMgAhsV2RBRFPluymMBmFSmDyURKfj4p+fmYTRYsJjPnrt7kT9NHI5fJSE4+ikano6iskq5tpKYt51LTOZeajtlqRSmXcy/1Hgd/PsbkhdMJcHMjPLwLF9MyOXAyiUFThyKKIqIo1XhkJGWQeP46ZpOZysJK9EYjvbrF0icqiujoXhz4/hCOKhWOKhVmi5U+w6V+kyMmT5Ha1Qf7o3ZRc+7gJW6euYmffzgymYBMJpB19Q6pp1Ipq6tn9MCe7PjmR9q27YaAQG72HYLaBeHtLJV9b1n9FVtWf8X+bSewUSgwWSyYjCYW/XUlDk4O9BjZmzET55KSmYNcEOgdFUXvqCiMeiN+YdKGcETncLatP0BUQhTOHs50Dw/nXkUFDioV6VdSSL+SwuFff+XujXs8PWMChzb9jaM7tzNg1NPoG/TsTbyIIBMYMWkaI0f2Y+TIfrj7upNy6hp+YX7kVlYSHd0LQRAYHBODSuXAwX2JKJW2rNjyBSu2fMH0Wcv4eePHpJxJpaa8pqXj+IPwSBRELVv63gexnXujdLEn8WASXoGebPxoHcmnLhPWowPa+kYWPDeWPftO0z4uAk8nJ0YM682p01cIbBtExzbBvPbmGo4cTSKqUwRuQaG8+uIEaozSf9v86mp8XVywWK1Edgon7WY2alc1zh7OdIpvx74j56gpryEuvh17fzjI7A/n0L1PHKFeXlQLRkrvlSA4KKlt0FJdWUtcRBtu5OVRU1OPv6c7WaWldAsL4/Ldu7Tz9+dmbj7lVRoKMgvQa/XE9Ihm0ydbcYz0wlZtR2z/WIwGE06uLjgHuHNyz1lGvPQMTRYL2qYmXho/nBpLE/WNeuyUSjQ6He4RPpRoahAEAVOTiZqKGuqr69HWavGM8KW4poajpy7j6K5GBEI8PNA62mC1ETBbrXio1ehNJmSCgJ+rK6K9Ai8nNScTr9G3W0cSL6bQd8QI2keEUFJTQ05ZGc729igVCo7sPEV1qYb5sydQrNHww+pfGDZpEln5Rax+YzEjp05g3pTX6T68Dwqlgt5RUbwwfh4GrYG6qlrihySgbTIQ0D6CL976kOdfmcHghDjeWfYVx05eIqe4lP1btpB1I4Pk0xcJj4nms6XvM3fei9wqLCQ4NoL7qfeYOmkYHmo1f165Ad82vlw6cZr+4wdz7MQljvx8nN7jehHWKZx3X5zOKyvf486VO2hrtVw8eYL8nGySL96l55B4Du8+zuSF0/EPbIOtrSO2DrZcTc+iR8dodv68B0GQkZF6DbObByFBfiRfTmPerPHYeDpSUVJF12EJLJw0nXt5jbiEeVFQVUVlVS0dOkVx634epffKuHvjLio7FWEd21BaW8vub/ZTZGjA3lGNT7A/MpMdVcVVTHzhaRy8PKgp0vLyW8+z58dDXDuVxOXjifQfN5h7uUXkFZYyYewgTLY2VBdXMWRwd/xiw+j7zFDOJd3A098bQSbQd3w/hsR2IMTDA1WwK2Fh8Xy6dC7eLhF4BHhyYt+uByqIeiRmClarla3fraHkbgkvvjyOVQuWoFLZoVLZEenri0wmIzEzEwcXB4pLKnC2t5Mq/oqq+HbpKt54ftEAAAiXSURBVPRGE12GdqHL0C50CAyktrKOfUlX2Lp6ByobBfV6PbuTLpNTXs5P6/fh6OKI2k2N2k3Nilf+TGDbQLqN6EpsUBANtQ2UFpSz6bPt5FdV8sP7n1OUU0yAtycB3p707NSeUxkZjOrcmW2rt2C2WsnOK8JgMhHt709Kbi4NmgYOfLuX7JRMslMypXbvPaMxmEzs/mo7O9fswD9cUk5q6+uLQmnDgW8OkHs7j9zbedjIFZw9cJHy+noaDHpWLfqKn1ZsYFy3BGYMGYDVasU72Bu5XIZcLsPd0ZGx8fEM7BdPW19fwry8KK2tpbqkmig/PxLatMHN0ZG1q7awdtUWSmpq+GLZjzQYmtBr9Ww7l0RkhzCqiqpwd3TEZLHg7ezM+Wu3OH/tFq5eLmz+7iPOZmZyMTmNKxeO4uLtQuqZVAY+NYmC6mqMRgMJ4WEkhIdhEUW69OlNz2f6cvduClarFWd7e+yc7PDzD8fZzg53R0fUHk6oPZy4evQK7/64hqCgaKqrS5j/0gTGTH8BlY0NZVUaMi9nkp2ZiqOtrdQG8NIVHF0cGDZ1LGe2nSGmRzT9J/ejR5cYzu44ywtzlyNaRYbNGsawWcOI7tiVQWPHNGd3wugXp5J7Kxe/cH+mzR1LZWElUbFhyGUyRs2cxqiZ03B0dCUhvr007Y8LI6ukBAeVCt82vtxNvUu/fhNx8XalU0gInUJCyE7OJsLHB73WwKiR/cjMuESXIZ3pHx1NSVkV09+cRNf49oyaPJhRkwcz7o1xnDz+MxE+PtxOymDIc8MI9fTk7ZVzmfb2TKI7xktSfu1CCGsXgsrGhjtX7xARH8nps9dwdVFTmluGpkyDZ6Anr780ieNbTlBSW0tJbS2ailqcPZyZOn0Jv/78aUsH8QfhkTiSDGvXTly69it2f7GTp2ePomNMBPeLpfW4pqyGq4evMuzFp/hkzltsOLgVgEO7TpEwNJ5GnZ6UUzcYMVkSrIwPDeV6Xh7Z2fl0iA7D2d6ecG8v8quq8VA78u3mvTQ1NlFRIBXjzHvrOcK8vRkz4kV8/IKxV9vRfWR3yvMrGD2qP2n5BWz64HsGTHwKgMuHkpj2znTObE/EM9CT99+YSWZJCeu/2cXhXT8z/6P36NK5naSnlyrlxR86tI5Ld+/i6+zM19/uILJLBKW5ZbTv1o60ixlUFlXSJrYNSXslNeeeo3syZdQgtAYDYd7e/LD/KP7BPhTnlzHz6cGMHDEbk6kJV1fpGHby4mdxcbDn9s0cmgxG5k4bTUF1NUHu7vx86BSpp1P5Yd0yLmZLO9COtrZcSsmgpqyGs3tPMGbORL77YDUL1izn6PqjPDP3GfRaPVOGSLkE3TsP4J11q+kdE02NVktq9n3qquoIjgxk/7qDfPfduxxIucH9m/cAaJ/Qjra+vix86SP6TxxEaHQwozp3ZuW6X0jo0xEfFxeS07Nw95ZESeUyGXdu5HDxQBIz3nueKF8f9h04ywvPjqC2Uce+A2cxm80tlX7T35lKSWE5p7eeYuKiify24Sia8mpWfP0WQe7ufLnxbyiUChycpC7Y2z5fzzfbviTldg4DE+LYsvUQF48k0m/sEOJ7x/Lr539j6cdzOHj0Qkt9RWN9I89Ofoqzybc48N0eJrz+LJ/MfRNPz0B6Dh1C71GSVJ6mQSqUC/b0YEK/4ey/cJwlL73P8OdHs+PrDbi6enPoyHqSc3NRKRQtJ0zHjl4kNDaU+zfvU5ZXhp2jHY4ujhRmFRIcHYy92p4Le8/j6iW9RyX5+fgEBiKXy9nw/XLe+fR7lCoblr4yncXvfUW/8X1oqNdhMUsJbfXV9ajsVOi1evzC/JjWuxfA45PRKAhCJaADqh62Lf8LePBk+gVPrm9Pql/Boih6/qsnPRJBAUAQhOQHiWKPG0+qX/Dk+vak+vWgPBJ7Cq200sqjQ2tQaKWVVn7HoxQU/uVRyWPKk+oXPLm+Pal+PRCPzJ5CK6208mjwKM0UWmmllUeAhx4UBEEYJghCliAIdwVBWPKw7fl3EQQhTxCENEEQUgVBSG6+5iYIwglBEHKab13/1d952AiCsFEQhApBENL/4dof+iEIwtLmMcwSBOGph2P1g/EHvn0gCEJx87ilCoIw4h9+9tj49p/goQYFQRDkwDfAcCAamCIIQvTDtOk/xABRFOP+4VhrCXBKFMUI4FTz40edzcCw/3Ltn/rRPGbPAu2bf+fb5rF9VNnM/+sbwNrmcYsTRfEIPJa+/ds87JlCV+CuKIr3RVE0AtuB0Q/Zpv8NRgNbmu9vAcY8RFseCFEUzwGa/3L5j/wYDWwXRbFJFMVc4C7S2D6S/IFvf8Rj5dt/gocdFPyBf+x8WdR87XFGBI4LgnBdEIQ/NV/zFkWxFKD51uuhWffv8Ud+PCnj+IogCLealxd/Xxo9Kb49MA87KAj/5NrjfhzSSxTFzkhLovmCIPR92Ab9f+BJGMd1QBgQB5QCnzVffxJ8+2/xsINCERD4D48DgJKHZMt/BFEUS5pvK4C9SFPNckEQfAGabysenoX/Fn/kx2M/jqIolouiaBFF0Qr8yP9dIjz2vv13edhB4RoQIQhCqCAISqQNnQMP2ab/MYIgOAiCoP77fWAokI7k04zmp80A9j8cC/9t/siPA8CzgiCoBEEIBSKAqw/Bvv8xfw92zYxFGjd4Anz77/JQ5dhEUTQLgvAKcAyQAxtFUcx4mDb9m3gDe5vFORXAr6IoHhUE4RqwUxCEF4ECYOJDtPGBEARhG9Af8BAEoQh4H/iUf+KHKIoZgiDsBG4DZmC+KIqWh2L4A/AHvvUXBCEOaWmQB7wMj59v/wlaMxpbaaWV3/Gwlw+ttNLKI0ZrUGillVZ+R2tQaKWVVn5Ha1BopZVWfkdrUGillVZ+R2tQaKWVVn5Ha1BopZVWfkdrUGillVZ+x/8B+x3BKK233WoAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "testing success ratio: 0.93\n", + "result: ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'A', 'B', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B']\n", + "truth : ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B']\n", + "{'accuracy': 0.93, 'precision': 0.92, 'recall': 0.94, 'specificity': 0.92, 'F1-measure': 0.93}\n", + "CPU times: user 2min 50s, sys: 1.26 s, total: 2min 51s\n", + "Wall time: 5min 30s\n" + ] + } + ], + "source": [ + "%%time\n", + "\n", + "# evaluate test data with tunned hyper parameter\n", + "lambda2 = history_q[0][0][\"lambda2\"]\n", + "rep = history_q[0][0][\"rep\"]\n", + "rep,lambda2\n", + "\n", + "# Wall time: 9.47 s for train_size = 20 test_size = 10\n", + "os.environ['QISKIT_IN_PARALLEL'] = 'TRUE'\n", + "backend = BasicAer.get_backend('qasm_simulator')\n", + "feature_map = ZZFeatureMap(feature_dim, reps=rep)\n", + "svm_opt = QSVM(feature_map, training_input_unnormalized, test_input_unnormalized, None, lambda2=lambda2) # the data for prediction can be fed later.\n", + "svm_opt.random_seed = seed\n", + "quantum_instance = QuantumInstance(backend, shots=shots, seed_simulator=seed, seed_transpiler=seed)\n", + "result = svm_opt.run(quantum_instance)\n", + "print(\"kernel matrix during the training:\")\n", + "kernel_matrix = result['kernel_matrix_training']\n", + "img = plt.imshow(np.asmatrix(kernel_matrix),interpolation='nearest',origin='upper',cmap='bone_r')\n", + "plt.show()\n", + "\n", + "print(\"testing success ratio: \", result['testing_accuracy'])\n", + "\n", + "train_result = svm_opt.predict(train_for_pred)\n", + "test_result = svm_opt.predict(test_for_pred)\n", + "\n", + "# モデル評価\n", + "eval_input = [\"A\" if x == 0 else \"B\" for x in test_result]\n", + "eval_model(eval_input)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000, + "referenced_widgets": [ + "6481005d70f149f4b5249a62ae97050d", + "612ffd63f1a744bd81c55a71d9c8619e", + "32b58198737348abb3c86ed1cf6fc8c0", + "edc08c99ee9e413a82c6ea9dcdbfb828", + "25f285cbfbf847009e28be3bfe2718f4", + "6c4a4af82bf04b2db917b4efc304d546", + "c60a14fdc7ea492e8698fd5d8cdaa36d", + "6e0b66d23096434e85b8e5206cb101d1" + ] + }, + "id": "xv16Y0_kxnZ3", + "outputId": "0c3c3097-cae2-4e27-cb2b-b0f9c94de055" + }, + "outputs": [], + "source": [ + "# 時間かけてでもjupyter上で実行したい場合は以下のコードで実行可能\n", + "os.environ['QISKIT_IN_PARALLEL'] = 'TRUE'\n", + "(iter_num, input_size) = (51*3, 17)\n", + "mesh_list_iter = np.array(mesh_list).reshape(iter_num, input_size, feature_dim)\n", + "\n", + "mesh_predict_tmp_opt_param = []\n", + "for i, iter_list in enumerate(tqdm(mesh_list_iter)):\n", + " tmp_list = svm_opt.predict(iter_list)\n", + " mesh_predict_tmp_opt_param.append(tmp_list)\n", + " print(\"epoch \", i, \" has done \",list(tmp_list))\n", + "\n", + "mesh_predict_result_ad_opt = np.array(mesh_predict_tmp_opt_param).reshape(-1)" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 446 + }, + "id": "U-s7g611x5ff", + "outputId": "33f2ab59-5641-40fc-c0be-477b25be7c72" + }, + "outputs": [ + { + "data": { + "image/png": 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IO2llLKeVEuDxGCZ0shFC9AA/DXwcQEq5JKU8Z7tjztiqPfGJG3qqeePsq7XtuJp30upYTiMlwOMxjI7PZgB4ATgshLgJOAU8IKU8X91ICLETdRvhn30fyqTRirSGK7bqevjqf/rECT2t4x+4EmVzmPBx0cj/kRYmxnIS4dsej0VCSwwIIYaBvwQ2SCmfFUIcAL4rpfxPjT4z3CHkdAcrL67O4KEbrjyHMoksNWnThfplF0xgWuGTrUqlN5DNL3QuUegsMfnACJtuPq69Cet9zpo0fAjnenro1VHgrleKIi1ijOW0sBWCnJZsfruRRuizyRID3wK+JaV8Nng+CfxY009IWpfWcNFW3UQ2v1Tu4sLSOkYOTFKcG0iwU+3Fet1yAC7lnbg4lj2ehAmdbKSUs8D/FkL8UPDSvwa+HnuLUaQ1XLNVa8jml8oF9h/z6n62WNAtB+CaL8+1sezxJIxWpU4hxM0oo0QXcAbYJqX8TqP2w0LI6WZfaMnEcfOdkhuBz9S83oVyp3wIuNyKWUmz+l/Pmnnmx6/V2oQ3o9WhTomBevQxyywNSgx0om7keZPgH0OvsmRMs5w3o2WMiv/499G6fkPLcsRA14ymldQppTwNDLfcqwo2TByik88Br0b57KeClzuATwO3A5eAfa1sQ9OCs/hyO6TFW0S3xECz5KAyZmWNXEG3hPESyk+Up333rKTaf6w5H2unflggHbkaGyYOWeZe1DGfBN4QvPwYaqI5CXys1W1oziHd1/has07gaih0UrTzvuedZmXXHSX5ycZiuPIJ4E6UBeFJ4FPAXcBXgbcR5Na1ovE0SmhWfKFzia0bjmpupIW+6LbLuabVpUIh/EddO0vwt/O+5xmdsuuOkc5kY1paYwzYAlIIPisEV23bxrXAOwGef56b+vo4JwRn+/tVDofUeNTJ9Tj7mX5kSSBp/FgqX83vPfvu6PvQTFam+pdpX7Q+t7K/trkJeHud17u64L3vhQ6N0fnyNdeEu6ViyBrlhlb3vYi6vqqTcseC1zU429+PFEJJCjV7jLXQxyzQ4nFchU7ZdcewI8QpUAe0UZ5NzF/RjRyFckvN7aanZ/n/q6+Ga5Tdrn8unj3hinPzRb32Vy0s77i2czMtWZmU6ITGPrZPw+23w6VLsC/EyaaVcwNuhUInTYR9r3bkT53eyMiBSUrlAqVyl3pxARXccwRlrw4RRNe+5nR9UVmkXm5exOO4igxa6u2sbF5NeiGed98N+/fDiy/C+DjccAOcOAGvepXlDXuiUIbGPrbb4eRJ+JiOk83LGoUTY9+LcwOMHJjkwtK65YmmQgnlKxgh/i/zdqGZb6WV45jBGCQ7k00BJasxjlrujQfPbfsF7rgDHn0UFhdh40bYsQMefhhuvBGeegp6o9bk9dikoY/tq/C2t8FFHQFLjbLeqckauUDMfd97bDelcoiDsgTsj9OpNkLHtxLnOGr4j13D3eJpUenshA9+EJaW4Lbb4NQp9fq73gVHjsBNN8Fdd6XbR2hsu63DTTfB2+s4NbqA92Lw5Jm2J2syUCzy5rExln71V6/42Oa//W3e+laY1zWreAn+5sTc94mTo6tXNLWUAMOxMKli4zrQ8a3EOY46JTwaUF1apX/sbLwviUF+JptyGTZvVjaYZ55Z+d4998C998JHP5pO3ypMAUOold4CyoZUsd3W0NkJn/scTExAdaHQjg6VN/Q7QIwwhGh9GmLZmWKYjVNTzAwNsWN8nLVdyze1nkuXKi42PbwUTGNa2PfFi+s1G0b/biexdR3oHp+ox7FZCY8IJJl3k5/JBuD555W5rJbLl+HQoeT7U02Y7baGclnNj1LC5CS8IXBqPPaYwbwhW/bkEAaKRSZHRlh34QJdW7as8LGJG27gL058T8vF1tcbhNC1kxSMriW4oiAQc9+712gGXmTQd7AKm9eBzfLo1SU8ktffjIy7ZaHzRoy4+BMn4M474Q/+AJ58Eo4fh3e+M/BpvBEuXkNrIctR7MkGq2Xv3ruXQqm02sd26hRcusTgffdx9sQM40ePcu/v/i6gIXfSLhL8Bkqg6zC6YYLxp3c0N6Vlqay3pgRSQ+JeB7bLozcq4eHg5KOljRaV4QEhp99v/Gsbs0W/qWiwv1raTa1sR1NXrR533w2HD6v/n38eNmyAb387eLOV02dB602L7cBSJzz3HLz61cpOWG36fPxx5V/7tQfgx1I2fYbQim5XGnLwuhTnBhh6cIYLS+saN1qL+mXdpIaTFBH28Qn9ptUY1xdsRA/RQ7SLKDPchcZN1nadZ+ahIQb7zgCGtOBiaCLGHY8mSwx4TNCCbbtB2lDrpKX1dhE9H9s+tyeaPDPYd4bJB0ZY23WeQmdNIR6TZb2zRJxruIlvpdC5xNqu80w+MHJloskz+ZhsNO3Ys30teolb2U7M+7XVtKG0tN4quTFhPrZ2zo1xgE03H2fmoSF23nqInjXzdIiyXlnvKrSvuSxkJcT9zVWnPHrPmnl23nqImYeGIhVbzDL58NkEdmzrUuQN7OVa29W13e4EHlZPG7g0uO8+dY9+4xtbTLzW6JMVrTeXS37ngTmUHlorZdkDBvvOcHDb/Rzcdj9cexPv2Hy6eQmPmveun1VORZdNhlq06p+q8a3Mf9KgWbqaSskBB8nHyiYL6MTFF4Cg7loiaUMafSp0lti12XDmns+NscdpVGmBpwmUZ4O/Twevn475vaITfvpzTLByQVMp4WEsFN9Vqq5NZ6kO33YQP9kkRbO4+Do28ETShtKyJ/vcGDvMoUoKLNF6WfZaZBm+fK/dEh4uchXZ8E9loOSAn2ySpI7ttpkNPJG0obTsye2UG5MUx2humoTWSg7Mnggv4ZE3Xoe2fypV4pYcSPAHnZ9skqZiu51HXfjzwXNTv5qalSqoflQnDtf0aX78Wg5uu99+hEwlN6aiofeB4PVfR4WZbwcO47bSdUpSP3U5id5kE6fkQFDGo1kJD1kp45En/hepr2gGikUOjo1xrqeHckcH53p6ODg2xkCxapDplhzoIbXSIvkIEAiw5YS0GXhQr8+ileSZCKUKnHLankaZeMos3zArvgZHSztPnd4IO4gtHd9sXMU6N7pLizjlFqojUZrE4jcqKRB2DbUyFnU+G/uaihmIaWx/6lwXvQsL7Bgf5+4jRxiZnOT4pk1GZHFsniPwKxsnuSLDEtrQbj8Sw6avwRIVCf6kpX6akkS5hYyW8NC+pmpJU46nyXXRVSqx7sIFJkdG1ArHpiyOIXK1sskLs49cr9XOeqh3UkTxNTgiRxNJgt+g1E9TbIeUa8Xiu1kFrfaaGjt80H05Ho3rolAqsWv/fu4fPWhXFscAfmXjSR+bvgZLOCnBbzOkPCslPDTZs3kfhc4QJ0fa4c4a10VXqcTWo0cjp1akgZ9sPOlj09dgCScl+G2GlGehhEcEBvvOMHnbCGs5T4GVcjwFlljLeW55z1fSDQ7QvC66Fxcjp1akgZ9sPOmTwdLOzkrw2wwpd7mER1TmYNOTx5lhiJ0cood5OijTwzw7OcQMQ3zhQ29aGfGVNJrXxWJ3MMgiplYkjV2fzRh6eiq9JCad7nGQDMrXOC3B3y7lFloh8IcMcoaD3M9B7l/VZKlUUP6Qg0k53WrQuC6WCgWObq0ZZJdZGd5cqyGUEnZLDESQ5I8rL54EacnIx9puhM3JJxwJfZ5DSaksNWlTKQaWcARew3OgIR2vI8HfCKfC0sFIGY9mJL6/29EzU60hPfmXiNfF1OmNbH54amUoPqgfPQVCQ/FjMzyMnJ72JQY8GSCL8jUZsJF7mpAFP2GE68LJUPwa/GSTNzRvyLHzDmyRRfkax23kRkmqjEdSZMVPqHldRArFTwmfZ5M3gjnEOTOMDln0NTQqy5sVdMsRaPhUM5X3ZctPaMNPrXFdRArFT2ms+pWNx9Ou2CpHkAVs5STp5rQazn11MhS/Bj/ZeDztSAYlgoySRT9hE5wNxa/CTzYeTztiuxxBFsiin7ABoxsmKHQ2C1sjdbka53w2xbkB9h7bzcTJURYvrqd7zQKjGybYs3mffcl7TzrkLR+rH70VQR+JSryvQFci6M+DRyOyck4akUU/YR32bN7HkWfuDs/7SlGuxkqejRgelkxPI4W+k1pIqcqajhA7TtxWTktaznbbkt/OkHI+lnHHdpTT0mDT1s9tlGMehsY58WO5DobH8tTpjYwcmKRULqyYdAqdSxQ6S0w+MMLmD0+Z3Si4kWejGwY529fXvKypI3HiHk9u0A399WSGTTcfZ+ahIXbeeoieNfN0iHIyVXc1sWpGu342go1gjPBKc0lLtmeRvJmk8s4YqsriIsp5O4pS8LW1LTcrAHgMMdh3hoPb7ufgttXyO2njToCATlnTpCXbs0hKoZeemIyjqntKlqt8DgVVQE3jz7knRdyZbAyUNfV4MkcDk/HIgUmKcwNp9MjjsYI7k00Gypp6PElRKhfYfyzNyl2eWGjK+mi3yxHuhD6PYr6sqa4Uh8fjGKVyF0dPbnXS9u5pQp78oEVgL/V9ijEEZt2ZbPYARwifbHR/7J1GZUCXWc4nqEhxPIPKDq5K2nIx9NLFPmWRTGl2VfHdS70N+561sZG1/mYVY2O9XhpKxad4hFjlCtwxo5mUbG93KQ5PPvAmY08aWEpDcWeyAXOS7V6KI1vkzc5twkSbsrRI7s6JR5+96KehRMAdM1oFE5LtulIcJ8m8TEUqmPaF5cnODeESNDpVPlOWFsndOfHoEyUNJcJ92q2VjSmyUIUvq7SzLL0pfJVPj8tYSkPJ52STlSp8NrBp/vC+MHOkUeXTm8Y8OlhKQ3HPjGYCW1X4soBN80cUX5g3T4aTdJVPbxrz6GAjDYW8TjabUeHNYZNN1Cp8rmM7r0jXF/Z01TZ9rpPHky1Mp6EEZGqy0Y7Vr1Thq82zATXJdJKpKnxaRMwrioWuL6yM8t/cBjxpuU+eVbSSa+HzYTxXfIph5V4i+hTz6bOBXFXhCyUpX0oUWfol4LMJ9Mnj8ZjHgk9Ra7IRQnxTCPE3QojTQojp6JtJiUoVvnFUON948DxPKxpILq9oA6vrtYdQZIAxDtLDOToo08M5xjhIkYF85DoVUdL91RfkGM0T3vpRP37CHv0p9tGTHnPAYWA7qhjb9uB50j/MKj7FedS1Oh88jxklGWVlc6uU8mYp5XC8TXmsESWvqBU2E2mymWIjQ8wwzg4W6EXSwQK9jLODIWaYKm9svU9pMoXKl2lQJoBGRRF1bxombi5x++hJhxynFuTXjNZOJJVXVPGFNSlzXqHIACNMcoF1lGo+UKKLC6xjhEmKFzMqo5+FyrJZ6KNnmZynFuhONhJ4SghxSgixs14DIcROIcS0EGKaF14w10NPOEnmFVV8YSErnL3sprQqY3ElJQrs78yojL4lSQ+jZKGPnmVyLrOlO9lskFL+GMotdJ8Q4qdrG0gpD0kph6WUw1x3ndFO2qA4N8DY4YP0bD9Hx5YyPdvPMXb4YDYLVun4UkzmFfWhAi2abHOC0VUrmlpKdHE0VQGwFshCZdks9DEvmPCzJGUOTwkhZbQwSSHEbwGLUsqPNGwzPCyZrh9HYDO0Ujvks558NqwM66uKtnA+HHQOZc9datzk/Nq1DM3McGbQjAbKQLHIzNAQ6y7UF/jqoIzU+S0jJFx2/PjWowO13tdpV3sDibK7rSjGt9LHRt1x/VpIg3ppB7AyzUIn+nWL3ubKHR1cVdY8YUkwPIycng4dGKF3AyHEOiHE+sr/wFuBv229hymRRzt2tS+lZrWxVChwfu1aRiYnjU00AGcGBxmZnOT82rUsFVaay5YKBbp1hZPWZ/TmlYXKsmsNt/OsxqSfRdMcvtidzdoTOma0PuCLQoivAl8G/kxKedxutyySVzt2TV5RuaOD+Z4eDu3cydDMDMc3mRfbOr5pE0MzMxzauZP5np4V2xRb5GqRyVrSltFvhVHc37/XGG7nWY1JP4uGOXypUODo1mxeNJHNaFpf6rIZrQcV+qnTbl79m0XTQerVKXVk9NeiEsSyqG7cyv4lZUbrBs5rttO5JsjmtRDKGFeu9ab0slpfbjt60aBrUOHmzUjBHG4EU2a03GFJPttTQ95l9LPU7RB0AAAgAElEQVSwf80mwjjt8orORNOoncm0g8Ac3sg0bcMcniTtN9lkwdaeF9KQ0U+SuPunq2DRqtKFH+v2MZ12cDMNTdO2zOFJkSkhTiNYks/2NCBpGf2kibN/YZU8TeHHun0slDM5MzjI/QcPcv/BfF00iUw2A8Uiu/fuZXRiQtmGm8jMF+cG2HtsNxMnR1m8uJ7uNQuMbphgz+Z9DPadab0zluSzPZ6G9KMXjdSH2Yko72O9FV+LKdq1nEkMrAQIDA8IOf3+4EmEGPSp0xvZ/PCUdv5LbHKSZ5N6EIBHj6QCAuoRcay3QuLXiWZeCgBPWPweU3k2mjh33TsRIBAhBr04N8DIgclk8l/y7kvweCr4sW6fdipn0gJ2zWgRYtD3sptSOSRxoZL/YsKUmXdfQhGVUzSBiqzrRtnw95DdCDBPPPI+1tOkkSnvIvDnwQPsmvKa4dB9wO7KJoLWz8TJUUrlEDlhr+Okh5eV93iSoZWwads4dh+wO9lEiEFfvLher63Pf2lOHuV4PB5PNBy8D9idbCLEoHev0Uxh9jkBzcmrHI/HY4tew+1cwMH7gF2fTYQY9O89o9mVsAPYBvSPnWVuvj9aFE01FXOkt+F7dNEI3xZI+npnmX3k+kS6ZIw0fCm2iVJeIqH7gJXJ5tQrbkHcOc3ATzaXoQc4f/Vahn5/houvXaf35bqmuYi4GN7cMMQx7iRTjTdHeqKgWZdlbr7fbj88Te9VV+4ZDspyWTWjhcnQZ13rJ9N4c6THk18clCqyro3WTIY+61o/mcVLlCRLUlpo7UYefS2mcLAERuIlBhp/KEJbCwm0mTKjtdpVk9L+DsXxeywSYczJJzQaz6Hy8E6iTONNJKycxoRJG4zl4Vy5ZyRZ4sMJBQGPW5iWvncsjt+TEU6j6rY8zbIP9mLw/MHg/XbDdB6OgyUw/GSTd2xJlDgYx+/JACbLKLuAZnpgKjgmVZR+iYGKGcYVXFCSNYnJX0y66sUVTMoLpYU3E5olShnlbfa70zI/SXh6R5o4JFWU7sqm2gzjCi7LT6RN1F+bWZcX8mZC80SQsMoEOvvjASytbG556RTTDRzuKxxYFTOMJ3G0YvVNECGOP7E+6dBsfFbk+kcwF2iRI+qdqyvn1mQZZRewlPcXl7BApzTLE6S3stGRU6hHliJVbJGlUNqs5vM4KPeRKqbGnOkyymmjuz+eFCcbHTkFUA4tWfVIqqSuy8yy8pg0eqR9rLKcz6Mr9/Ewys+X90AIU2NuA0qiqhkRyyinis7+eIA0JxsH5RQ8hslyyeEo4877cPTZjN5kk5Uyyjr74wHSnGwclFPwGCSFOH6jRBl3PtRbnz5UmeQuVt+kO4PXH8ANE7AOYfvjuUJ6k42Dcgoeg2S95LDO+KylnXw4rZC3MsrN9kc3D6cNJHXSy7P5DPo28cv4vIaIDBSL7N67l9GJCdYvLrLQ3c3E6Cj79uxJRvg06+dqD3CEaEEsvnTDFW4CbkRd5ivo6ILX7QHxIdh2ORu5NDr0ofaldn809q84N8DeY7uZ2D7K4sX1dK9ZYHTDBHs272Ow74yFzqZDetpoUfS9CsFjkti/lrW1z6JoHT0Rqyv2OY3Kwi6zMgegM3g8QNNfjyY02bT0sQxiJaRzCmUaq4Q669BB2+dddAJ/D7wa+AXUYZSfFCA64A2TcMPt8Fd74Bv7Uu1nmlwZr43GWJN7ni0dx9jXUK600ZK0iWddSdamHIimHb2vN+0wOENUy33o4n2MlIF7UcFpk8AbKm/85GNqonnhJPz9x9Lqnju0meRT+nI1UUhC/iQLEjTNsCkHojGHuKie3RIVuY/LqKizZisc72O8wgngTuAPgCcBNnwKfuCd8J2vwuffBmXHsiHTIEouVw5Ms9lY2VRoUf6kODfA2OGD9Gw/R8eWMj3bzzF2+CDFuQFjXUydPMmBzAGHge0o8+b24HkaIo170AtoyWqot0n6AQF/JGDHNrgW4AfeyfPPQ9/rbkK84xxii6R/7Kze97k0Dlqkf+wsYotUJumPoV+6OQdka7KB2Hk3U6c3MvTgDONP72DhYi+SDhYu9jL+9A6GHpxh6vRGs/1Mi7zIgbgmQ++gZLuzVE0CPT3L/199NVxTpQygVULatXHQIrHKZuck1zB7k00cm3gRRg5McmFpHaVy14q3SuUuLiytY+TAZD5WOHmQA3FVht4xyXbXuftu2L8fXnwRxsfhhhvgxAl41as0v8DVcZA0OfEDZmuyiWsT3wulcnMbSKlcYP+xHNhA8iAHEsXvlDQVH8580If54Llf0azgjjvg0UdhcRE2boQdO+Dhh+HGG+Gpp6BXJ8DG5XEQRiPTX1Ry5AfM3mQTZz6YYNWKppZSuYujJ3NwVvMgB5Inv1Mb0tkJH/wgLC3BbbfBqVPq9Xe9C44cgZtugrvu0viirI6DZqa/qOTID5iNaLTqmPM4vyA1bZ7fvdTbXB49C1TkM8LybJqEMae+v3nxO7Up5TJs3gwDA/DMMyvfu+ce+NKX4NAh9bxyvdUdc1kcB9Wmv1qi5l818AOmWSagFdKbbPrQs7UKlE18F/FNFd2oolc67fJART7jGOpX38soH80G1IrGdd2pNejdaFz2O7U5zz+vHrVcvrw80YSSxXGgY/rTJWe1ktIzo+lKll+mdZu4rs7VPyU3CVRX5DPGUXL548Fz1yca0L5Y5y+tvxLGTg/Zk/ovovpcHWxgch+CEOTQR4wAqUTIov/RZOXOHE00kDWfTVx0ciQAvoGXineBeiaIOvReXrgSxp65cs1JlJzWjdJyNZori/5Hn6vakPaYbKpzJJoZDr9H7iQi2oqsSHy0mUxJbLJYjsBX7mxIe0w2sJwj8TqNtl4qPtu4fv7yXnLaZNnyrJUjCDH99emWz3VpAjVE+0w2oFY4/69GuxxJRLQlrp8/3ZLTLu9DM0yXLc+S/zHE9DfL9cguwcDzRfdKulv2IWYj9NkkbVKOupXwyNRDn03g8vlzeAxm8dw3G+uJ749m6kHx2dfCs/W/IpXQ5nqlDio+xCO0VN6lQnutbMCXo24XXD5/fgzmm6yZ/hLyIbbfymYULxWfd1w/f34M5p9GlTtdJKFSB+23svFS8fnH9fPnx6DHJRLyIbbfZOOl4vNLVs6fH4Mel0jIh9h+kw14qXjX0Sy5PbumL7vnL4kxaDIE2ZNfEvIhtp/PpkJFKr7GBnm2v5/+OY2U6l6yX0LaVeoc16yKDzalwRg0Rhrhs+3KHMtahBdRAQFZ0SJMyIfYvpNNDVdCJHWlO+bNbNfFm2hYn7IYHutZpp3OXyIpAKdZHepcKSnwDCoUOkIEWivnJ9b+7kGFN4dNNi36ENvTjObxeDwmyEM10YR8iNqTjRCiUwjx10KIP21tkx6Px5MTslxNtJoEfIhRzGgPAM8FXcg8A8Uiu/fuZXRigvWLi8v1XqIwhp45zft3PB7nuAm4EfhMzetdKMsSogPk5cZfMIcylelWE3U958ayD1FrshFCfD/wNuADwG47XUmOjVNTTI6MUCiV6CoFhso4ZVt1/TaG/Dsej8cMncDngFejInorFR06gE8DtwP80LvhG/vqf0G1n0YHl6qJpoSuGe33gP8LVcos0wwUi0yOjLDuwoXliaaCqaJHHo/HacrAvSjNy0ngDcHrj6EmmpMAf/+x+h9uVvq5ES5VE02J0MlGCPFzwLellKdC2u0UQkwLIaZ54QVjHTTN7r17KdROMh6Pp+04AdyJMps9CXwKuAv4KsqMQ7lBJbSopZ9dqyaaEjormw3AzwshvolaYb5ZCDFR20hKeUhKOSylHOa669SLCZWlPdvfjxQi9HG2v5/RiYnVKxrXyXp535gU5wYYO3yQnu3n7JRN9iTHHHAY2A5sCf4eJr0oreCa+iMBO7bBtcA7geefh7f2wbwAsUXSP3Z29Wejln52rZpoSoT6bKSU7wXeCyCEeBPwa1LKUa1vT6gsrVYSZoR2Nmgpnybr5X01WXGMpoAdWJU8zyvO5dEYzkOpJc7+irnlsdZTFfJ09dVwTZXJa26+zi+4KKWfE64mmsa5H35Jr1375dmYKtuqKaniiYEvm5wfHM9Duftu2L8fXnwRxsfhhhvgxAl41auafEj3HtKJmyUFUiKSgoCU8vPA5630JCk2EB6u2ImqPREWqrjFVKc8K0hI8tyTAFHyUBIODb7jDnj0UVhchI0b4dQpuHQJ7rsPnnoK3vhGmK8XSRrlHuK6VE2COLuyieKHiURI2VYg3MZasT9HwVKp1VyS97LJaZOk/0THv1HJQ0mQzk744AdhaQluu01NNADvehccOQI33QR33dXgwybuIW2Is5ONNT9MpWxrF6sHTCfhNtbTwINEz8lZQMVZVvwOQywH93tW4nDZ5MxTPX4rvoeK/+TB4H2T6Po3Es5DKZdh82a4/XZ45pmV791zD9x7L3z0ow0+3Oo9pE1xdrKxStyyrc3sz02YrR113u/QHF822Q5p+E90/Rsp5KE8/7wyl9Vy+TIcOhTy4ayVfnaA9pxsYLls6zjKbDMePG/2a0TH/twJvAXG3nKQrs5LCCTXN9J6r/gdTDJG9k12o+hVsnSpbHIWwtPT0PHagJ7JKYt5KHHuIW2MMyUGnAvXrEcE+/MEo5TKXc3bVvwOJp3c1XUpYoYKp34uEpI8N0qE8PTUjm8U/4kpZ/1mVHhzmDO9iX/Dl7zIB+27solDBPvz4sX1em1N+x3yECrsyybbIQ3/ifdveALsTjaaA6ivt8WSgro5L63mxkSwP3evWdBrq+N3MHEh2jDZ2cSX7jZPWv4TB/0buveclu9NnivYNaPVOU9WlrxJyffrxtdvgFEmGH96R3NTmq7fIWy896BMZs1oYrJrWG4h7ZK2tssmtxsRxq9xKv6NtGT2a8qBzHJ9/XYulwPJeEkTb0aLQoT4+j2b91HoDEkWMeV3aCFUeOPUFDNDQ+wYH6d3YYEOKe2GwnrSo53zQ/JQDiTj++AnmyhEsD8P9p1h8oGRZPwOMUOFQ8stZKGkrUcf7z/xpIi7k01SfpioRLA/b7r5eDJ+h5ihwlrlFrJQ0tajj4P+E0974Ezo8yoctDleIYr9udbvUERpf/0gSlFAZ1thPhudUOES8J1g+8FqSqvcQtRQ2DnU5HQSZY5bQ7L+n370VmJrUKN/EbXiG0UdxyQi3OZId/WQtv/E05ZYmWxueekU0z72fTVTqBDkEnoTDejdOCuhwpXvbjR/fAb4Y9VWfkeEBxVU0A2FDZGS3/THxzi+yXIYma7JrzoMuEk+km5Ai9A+oShfWIuy+nmjlRIcOp+VW/z9KG3cNaPljWay+SaohAq/o0mbqpyb4tyA2VBYDSmUyZERBoqOJvu0mI+kHUrLrPeFedoSP9kkhY5sfiN05WcGgzZh/psS7D+2y6yUiIYUSqFUYtd+x5N9YuYjzT5yPfIJoR5vEchOgWT140rIrfeFraRIPqSWPA3xk01S6MjmNyKKYrSmPP/Rk1vNhsJqSKF0lUpsPep4XQATpQscldV3lanTG9WYHsero+cYP9kkhSlZmjBzj+Z2Fl/uNhsKqymF0r2YgboArXbRUVl9FynODTByYNJXZW0D/GSTFKbl8BuZezS3031NcEc1FQqr6f9Z7M5AXYBWuxi2Wqzgrz72HttNqRxi9zUgtTTbpxn+53K5d1fTQTRxN/Q5J1SkYP765dfzCe6iRIgStC6N5GdGWan8XI8CbN1QZSsyEQqrIYWyVChwdKtLdQHq4FrpgpwzcTIZdfTrZ+sHcGRKMdrldBAN/GRjk9NQ3PZaKEOxPMCnuNPcZAN0LJQpf3LlKSz+4ABDYoYLrGv4ubXiPLs2G3bUa0jJlwoF9u9yqS5AHUxICOkW1otQgC+vpKaOHtBKyHWmJioH8At5W9SEAg9yhklGWMt5CiwZ2cQVU1gVFZmctV3nKXSu3E6hc4m1XeeZfGCEwb4zRvpwBQ3/z8jkJGcGHa0LYFJCSDekXLddjjGqju5xGj/Z2KJOKPAmjjPDEDs5hOByS19f6FxaaQqr3s7Nx5l5aIidtx6iZ808HaJMz5p5dt56iJmHhpSMjg1C/D/WEzohfma+SQmhPFenNMzoholVP4pW4U2buUBIGX8Z2YjhASGn32/8a7PFdvSiktagfCxVFOcGGHpwhgtLTUxhXeeZeWhIrVBMS49bkpxpxWQRb4MR2jboWixTyRxKJaDZPbQLNTG3ueilzlhnLeqHQGXFWZF8miAduaEAb0ZTDP8GTJ+RoQfDr2xs0UL4a2RTmEnp8dOoG+XTLO+DLzkQjT7gtpA2t9H2Ew3EUEefwufkZBQ/2diiRSmYVExhGpIzmZJZ0b2Zm77pzwFPhrR5kuwcR8toq6M3k3zyOTnO46PRbGGgKuJg3xkObrufg9vuN9u3RmhIzlyRWcmCYnBaFX3zdhyTQKcqq47kUyUnx1d3dQ6/srFFFqsiepkVM9g4jnPAYZQvcEvw9zD5XR3V00oLyx8DM3JDHitYWdmcesUtiDunjX9vphxylVDgWsl9UJNMJ+5VRTQgs5J4EIAGiY8b03I1IaUbTJYrCDt/iRzL6lIclclFtxwGWMvJqcXn6ETDr2xskrWqiCZLDrQzCZduyJQfLQwTpTh8To6TeJ+NbaJKwaRZ6dKAn8mD2eOo4f8pfm+Avft2M/GPoyxeXE/3mgVGN0ywZ/M+88m7tmmlFAf4nByH8Ssbl0g77DiLfiYXSbB0wxQbGbo8w/i3drBwsRdJBwsXexl/egdDD84o+f4s0UopDjAjN+Sxgp9sXMEFc4nJkgPtTEKlG4oMMMIkF1i3SnOvVO7iwtI6Rg5MqqqsWSGuv8Wk3JDHCn6ycYUo4bK1mJQez5qfyVUSKN2wl92UQsqylsoFVZU1K+j6Wwo0z8nxOIf32cSgODfA3mO7mThp0EYeJVy21v9jWnrcRMkBj/XSDROMhqqIl8pdHD25NblcrVbRLJHBTuAg3ATcCHympkkXSr3mQ9CiCqHHFFa00cTwsGTafOizE9QLywR1ARRQy/gIv66uhEBu0fyAQNm1U8TF8OZmZDrMtInOWgdlpI5xooPslDMoomRnLjRpE2ildQ7C3wOvBn6BZaWaDtRleDtqwtlnr7dWyNp49dpoNrApl+HDjj31aOL/6dZ1cGQpFHgQNVNoaKWVgXtR8miTwBuCZo+hJpqTwMcS6LJHDz/ZRCGKXEZUvCy9pxF1/D/zPT3c9KOn4aqQVWYWQ4E3oaeVBpwA7kTNxU8CnwLuAr4KvA39/FqPffxkEwWdsMy4chk+7NjTjIr/ZxyYgGvn5/niH/80dIVYL6KGAteTiRkjeXHLilbaPGoJMx88rxNpdrpY5Auf+ATXAu8EymfOcOo97+GfFL0ip0v4ySYKumGZccI3fdixJyoRTE5aZFC+f+PUFDNDQ7zx9HISWmehwOhnP8vM0BAbpxzsdJviJ5so6Nq+49rIfdixJyoRTE5NyaB8/0CxyOTICOve8Q6u+shH4MUXYXwcbriBrmPHWNfdzeTICAN+heMEfrKJwiirf0HW0qqNvMZcwnjw3K9oPI2IYHJqiE1/pCV2791L1223waOPwuIibNwIO3bAww/DjTfCU09RWLuWXfsd6nQb4yebKOxBb7LJUA6dxwPY9UdaYvRTn6LwvvfB0hLcdhucOqXeeNe74MgRuOkmuu68k61HHep0G2MlqfOWl04xbSFWPPX8joqNPCzPJsIvyrRkylM/lp6mJH5+bPojW6ThOD8HbN4MAwPwzDMr37vnHvjSl+DQIbo7svWbOq+lC7J1FlzAlI3c43EJ2/5IG6wBnn8ennpq9XuXL8OhQwAsdrvU6fbFTzZxMGEjR0ltvL3O613Ae/Enx5Mguv7In8eN0GjQyk1bKhQ4urWJEzVKqLcrYeFxSbnaq7+fpUQn8DmUqbx6MdQBfBr4HeDdKfTL06bo+CM7gM/iTmi0Rm5aqVBg/64GTtQood4ZDAtfQdrlS/CTTWp4qQ2PU4Tl7FRkki7iTmi0Rm7ayOQkZwbrmByihHpnMCx8BS6UL8FPNqnipTY8TtHMH3kH4fLJaYRGh+SmHd/UwIkaJdQ7g2HhK2ilfIlB/GSTEmf7+5FC8FkhuGrbtitSGzz/PDf19XFOCKQQnO3vT7mnHucx6Uto5I/8E9wNjY6TmxYl1DuDYeEriFK+xCKZqmdjM6wv6VDT/rmqNWtPz/L/V18N11yzol2c/fahze5j5BzVK3lR8SUcIXLJi4akGBptZSxH2R/dzacQFl5LvWNVHu2gQ2cnXrbQoSr8yiZt7r4b9u9fIbXBiRPwqlel3TOP6yTpS8hiaHQzouxPxvd9QTf023L5ktDJRghxjRDiy0KIrwohviaE+G27XWoj7rijqdQGvbr1nj1tSZK+hCSkmpIkyv5kfN8nRkdZKjTfgaVCwXr5Ep2VzSXgzVLKm1DuuI1CiH9pt1ttQGcnfPCDTaU2uOuudPvocZci4eWTwZwvwZRUUz/KiR/2sO2qjLI/GZep2rdnD6WQyaZUKFgvXxI62UhFxRpZEWXxDoFWKZeV1Mbtt9eX2rj3XvjoR9Ppm8dtKjkfYRNNBRO+BFPlDHTDa20nGkbZH9OlHBLmzOAgI5OTnF+7dtUKZ6lQ4PzatYxMTloX+9Xy2QghOoUQp4FvAyeklM/WabNTCDEthJh+YcF0N3OKhtSGx7OCaj+NLqZ8CXmTaoqyPxnf9+ObNjE0M8OhnTuZ7+mh3NHBfE8Ph3buZGhmpnGIuEGElPqLFCHEtajE9/ullH/bqN3wgJDT7zfQO1C/cI6hwvIuomLoN6CWfAZn4qSjt6SIEGH2RPA3wrHw0WjLuCpOGOscjaFnPqtQQN0QD0bflBWinArdw1NE+a8mUKu4bpSfZQ/xVhv96K2s+oDZGN+fMGf7+1dGvzaiF3gk+vcP/wZMn5GhZzZSNJqU8hzweWBj9C7FwAGJBWfwx8IDejkf1TjsSzCCDRkZV0x9htCaaEDlVFkkNM9GCHEdUJJSnhNCrAHeAnzIbrdYKbFQSzl4HEBlDxtY4diS6zfyqzrGsQjbrl/5pE+zc9Tw/ETxvzjuS2iZZibFSt7RCMrMlddjUEOr95tY94V9w1rNdFY21wNPCyFmgK+gfDZ/Gr1HEXFEYsEaulHNveT/WHj00fW/dJEJX0JLZF1Gps0IXdlIKWeA1yfQl5XoSiz8efC/YR+OdaLYRrejLzexLXaPPFlglHCfTQHYQf5/zUeRkXHFZ9XGuKsgEEWFMu9+C91jYVluwuMAGc/5MIrD1UU9q3F3slkToW2CMtmpoHssLMtNeBwg4zkfRsm4jEy74e5ko1GFbxV59VvoHItOrMtNeBwhyzkfuqZunXYZl5FpN9ydbDSq8K0iAZnsVNA5Fp1Yl5vwYK20bnFugLHDB+nZfo6OLeXwMgGGSpMnziwqPDnsUS9/pVbq5mOE+2zaxaSYASIldepiLKnzNMo0Vgnv1UGgHIeOEBZKqB2q2OhYdAaPB1DKdQmQt7DptM7BleNYr0wALItDmSoTkHWiRPW2cuxsJJ5G+UrTSchbIrR9ovFbDa/74WHk9LTZpM7Eqa7Cp0te/RYhFQmTmmjaFluldbNecthVWjEpmjT1uUCUNAuLuF88rVKFD1TUWbMVTt79FpVj4cObkydKrlOU8xMlV8SH7+rTyrHKgARNJGJI0NjA7ZVNNd5v4anGZClkHWyV1tXNFXkYu/vn8VgmO5NNH8om3sXqSaczeP0BsrO09cTHhh5WGLZynaLkgNjcP4/HMtmZbMD7LTzp+Ths5TpFyQHxPhxPhknGZ2OyTECKfov+sbPMzYeXEOzrnWX2keud304mScvHsQE7PkMd+ZlavA8n3yRUViVp7K9sciSNrzMBRGmX9nYySRQ9LJPY8hnqyM/UYmP/PE6wcWoqN/fLWuzm2cyhDlA9afwKXRgrE9AKWrkjScXfG9hOWgXDrOfgdKB3bAVw2eymN05NMTkyQqFUoqtUNeO1mOs0dXojIwcmKZULlMpdeh/qQD/3LC+knP9ikrrXZ4bul9VYKZ4WGS+N7zGNruE36mpBg3qldU34DDfdfJyZh4bYeeshtO+S7aj3lbf8l1pyfr+0s7K5Qcjp17Es/x/GGpTdOkX8ysYMLa1sdMr7dqHn3yjQ/Bdiq/0IMH2cxw4fZPzpHc1XOK6Vek4a02WgU6DuuNmOXtRjvfvlGHqVNqtLPxvyDaW7svkHlI1RFy+N79ENZ9Z1pH/Pcj8ssWfzPgqdITvZznpfKZ8fq7QSXq9b0rnSLgVfup3JRhLNnpxXiRmPHlHCmddrfqduu7j9sMRg3xkmHxjxJQTq4cD5sUpSpURsSS+FkH6eTd4lZjzhRAlntikr70iZ4U03H89uCQGbOHJ+rJFUKZGUfENuTDZeYqa9iRLOrBMqXJF3qZaj14kSTyusuh5JlRBIWvanFVw6PzZISpLLlvRSCHYCBISQ02GNUpDGj8sVp3eGAgRCP5ZSAEE9OraUkTq/eyrhvo0k+cMIO1a6YdV5CTvOWmmDDJ2f2NdX3DIWUcoI6KJZrsWN0OdmZFFiJqnQy7yHeNaw9urzmg2Dv9WVKk3STmWGs+j/aIfzk4QkV0pl5pOfbDqBt6DkZrJ2s2ylyqCL23GE11z3TbR+sr6m6v+Kmckk7VRmOIv+j3Y5PxVJrnHUymIcs/fLlMrMpzPZeB+Np4qvfetH0LId/q3ljuj4g/ISdpxF/0c7nR+bpFSuxc5kI/BlADwRSD9OBVCrpfeEtHkP+Qg71i1tEKUEgm0GUX4kHxbeGimVa7Fzlb8aXwbAkz2KwIdC2nwIt/wYccmq/6PaX+fDwpeJWvo5hXItdkoMFPDli9MgBzIeqdJOJZp1Shu46v+o+Ouyfg5MEqf0c8LlWhyxX3haJs8yHkmRRVXWGv0AACAASURBVD9GXLz/w5MwyRRPyzit5KRYl9yHlWGstVRyKEZQZga/wmlMhvwYLY/Jiv8jLM8mwnixlbuVyDVUB5dy0apJ63g0ZN+wVjO/sskDWQxjNYXJnKSs+jHi4v0fngTxk00eaCfzTy0mc5Js5XH0s1I6p9EjjcKrScnieNoeP9nkgQyZf5zGlh9DVz3XsMqux+MSfrLJA+1m/rGFz+PweKzhJ5s8kHEZj75eTd2dJJKBvR/D47GCj0bLA3uAI4TnTLgSxlpTwnaW6+u3qyphuyoCx2ROUaPv+qsY3+WJV6LYk3v8ZGOZRMKmY4SxNvtu6yGfUUvYsrJPU6c3MnJgklK5QKncpV6s5BQdIZo0fj2Z/bjfZRCb58DF89uMsP62EgrsanhzHvFmtLzQJuaf4twAIwcmubC0bnmiqRBVGj+LMvseT0axurLpHzvL3Hx4PGdf7yyzjzQwpXj0aQMZj73HdlMqhziodCVl2kmexuMebWZutLqy0ZloorTzeCZOjq5e0dSim1PUzvlJnvQxbG50HW9G82SKxYvrNRsaahOlncfjaYifbDyZonvNgmZDQ22itGtEm5X59njq4aPR8kpOyw2Mbphg/OkdzU1pujlFScnsJ1W+u818AEaYA44BJ4GLqJouG1BVKl2a/A/jXp8i4lc2eSTH5Qb2bN5HoTPE0aKbU5Q3mf028wG0ysapKXgQeBo10RD8fRr1+um0elYHF/sUESsrm1OvuAVx5zRs0f+MTqx8u8XEx9nf4twAQw/OcGFp3eo3c1BuYLDvDJMPjKzOs4Ho0vgWZPY92WCgWGRyZASW6rxZDh4HUFUrXVhNVPVp4N4iZwazNyj9yiZnRAoNTouoJWxr2HTzcWYeGmLnrYfoWTNPhyjHzylqk/ykRGnx/CbB7r17KZRCVshllInNJcqwa382a4UIKc0X4hHDw5LpaSWbrotGN9ptZROHnu3nWLiocRX3cMWcMlAssnvvXkYnJli/uEjHNdK83dqyP8G5glItEmusR7Ak8ET0r3eVOOf+XE8PvQsawSZrUOZnG0Q5X1XM9/Rw7bxDttDhYeT0dOiA9QECOSNqaPDGqSkmR0YolEp0VX7pVezWzwAPADcb6Jj3J3gcYv2iZjz7y3b7EYdu3b47hl0z2isNt/OEEiU0uGK3XnfhwvJEU6GMsmcfwNdZ8eSOhW7NePZr7PYjDou6fXcMu5PN29GL9vklq71oK0Y3TFDorOf1rCII582s3drjaZGJ0VGWCiE3p06UOdklOuHoVkdrhYRg14ymKwfycPCoRx/J5SlA5nMV9mzex5Fn7g7PQ9kFo6+fWL2iqaWMykHYZrCTWaAfvRVd0uPTY4R9e/Zw95Ejzcd/J8pv2Yg0cnQ6Yf+urMTir8TuZGPCtFh1wYc5Ao0EEGTct9AsNLjQuUShs8TkfSNseva4yr3RwUG7dS3Nzn2s4AFfytkZbAR/nBkcZGRykqlf2LwcVlyhM3g8QONJ4zTKxFz9WRu+zjp9Kj77Wni2fjOXA2VCzWhCiBuEEE8LIZ4TQnxNCPGA9rdn07SYeeqFBvesmWfnrYeYeWiITTcfVw3XaH6hg3Zrj6dVjm/apPJobkVdCyL4eyvq9UaTxRxqolli5SQF9nydYX3KADorm+8Be6SUfyWEWA+cEkKckFJ+PfSTOnIgHisM9p3h4Lb7Objt/saNNqB+idVeMNW4aLf21Oct6J3PW5PpTiboQ5mIo5iJj9H8GMOyr9OU+TkHZuzQlY2U8qyU8q+C/xeA54BXa327jhyIJz02o24+zQizW3vcwZ/PZDiJ3mRzMoG+ZIhI0WhCiNcAr6eOxVAIsVMIMS2EmOaFF9SLFTmQtfhJx0X6ULblLlbfpDqD15vZrT1u4c9nMlwMbwJkwteZJNqTjRCiG/gs8G4p5Xdr35dSHpJSDksph7nuuuU3GsmBeNzgZuLZraOSAQmTXJDU+WxnTPk62+ya0IpGE0IUUBPNE1LKP4q8lXrlim0qz2Q8fDk2taGYlV+3ZZqHZcaxW0clT8fZdZI4n+2MKV9nm10ToZONEEIAHweek1Lus98lA2Q8fDkW9UIxqy8Gg2GZzcIrXdSvC+uTy+Gi7UKmzsFm1HUUNtlY8o1l6lhVoWNG24AqH/VmIcTp4OFdjC7RLBSzGi9B4/G0jveNxSJ0ZSOl/CI2jF596GdoJ0kv+iY4V9AJxazGdFhmHnF1fHrcoOIbq5itX0b5aFys8ukI6ak+uyrxkUU7qk4oZjXtKkHjaT+SKo+eTctWovgSA3lANxSzGh+W2RwvV5N9plhdhbVSHv0IKi0jLknL1eQAX6kzD+iGYlbjJWg8eaaImmgusFrBpBS8PqLKqEcmDbmaHOAnmzywgfDM8Wq8BI0n7+xFS3F+/7EYCspR5Go8V/CTTR7QkSmpxkuWePKOZnmToydj1IbxcjWxsOKzueWlU0zHzLdoJYa88lm5xb1cD6tUQjFrbci16Eint0jWcnBcJa1cClvnKPH90SxvsvhyDGl6L1cTi1yubGb7NO+kLoUvt0qtTAksTy5essTTbmjOId3XxCi65UtzxCKX0WjXz66Oq07tV3WS1fyayZRU+vHrCfTD4z4NKpGKmhjevt5ZZh+5Ppk+mUSnvEkBtm44Gv27fWmOWORyZeMMp4EHUQOzsvSuhEc+GLzfTv3wuINmpNTcfL/dfthCp7xJAXZt3h/9u30ph1j4ycYWroRHutIPjydJmpU3KQSvT6oig5HxcjWx8JONLVwJj3SlH1lD90bhbyju0qi8yc7g9U0tfLcv5RCZbPpsGtibV9FHerI4UcIjbcrGuNKPrOGqnJInGvXKm5gip6Uczvb30z8XfoOd7eur6x9vhHOTTTNH/pXwyRhSImGhl8YDCFwJj7TQD61zFPG9VrbpsUtWJe2zStrHW2eiqbSTnxQMv6T3vd6MZgtXwiNd6YfH42lr/GRjCx0JmSTCI13ph8fjaWucM6MZZwwtefHi3AB7j+1m4uQoixfX071mgdENE3z02Qe4akFDv7+2xHTK1fyc64fH42lr8r+yGUfJikuW5cWHUPLjFaZg6MEZxp/ewcLFXiQdLFzsZfzpHXoTDawuuOZKeKQr/fB4PG1N/lc29eTFSyj58ZngtRG4sLRu9UfLXa1t25Vqfq70w+MOvhKpJ2HyP9k0ogTsBy4Trg7bCq6ER7rSD48b+NBuT8K092RzFGVesznZmCRJnbU8kYfj1qy8MU3eM1n62ONpASGl+ZhuMTwsmZ42/r3LGzD0PR2oyabJIZBRNvZEqx1qQr0ytLCybIADWcvOSeNrHDfxYcfzSOqVNwYlu1Lxutau0AvBY5LWMuVzjov5W2nn2Uihf0yElDA8jJyeDv1QNgMETP0a7UZbijxVvL5ZPDSP20CxmHTP9Akrb3wpeDQpfYzDu+dxD90SLdqlXAKyOdnMsrwiqff4VbQUX9mKMjeEtU2LOeAw8B9QN8ZmeH2z1Wjqwu3aH0P51zRFVJh+tYbXGPCfac3MW/FNejyaXD87i5Ay9BFFqgayOtmEoSkvzi7NtmlQXRZAJ/ral6FdjaYu3NajMWqamGQKFY5fL0z/CVqfbFLePY8H8jrZaMqLM6jRNg2amX+a4cvQrkRTF657MUa1RlOEmclMkOLueTwV8jnZQDR58SZtZ1+ZQolpHfNPPby+2Uo0deEWu1N03O3FfjRkFvySntxjJ/T5EtoyMVaJIi/eoO31B8PtkpEiWnTCcHXMP7VkRd+sWQiv6bGhWb736Nat+t9puv8T2J1sKr7JrJHkOGmFMVarhzTiLWQr3N4wdkKfO4clndNtE4qpPdnohi9vidGJLpRKQMoDuWnYZrMQXgtjY6BYZGZoiHUXLjRuFHLcVuyPjf5Xwu9tsRa1anfpBh2GweNsPbQ5yrWqmaaQduhzZFINfa6Xld/uoZhRwpd1ywJAdvTNwnwTFsbGmcFBRiYnzejC2ep/FBNXPZ/i1cEjzDeZFVIYJ4nR5mkKyfts2jUUM0p5Zp2yAARtslKGVsc3YWFsHN+0yUz5Xlv91wm9LwTt6vkfvxY8bJQ+ToOUxkmitGmagh0zmhiW0ERBoAd9O2cG0Fqqb0cvOmoN8AFU2HOz3BpHzGa1Pqj59euZGB1l3549nBms+kndgwrnDcPC2GjFlHLFpGGr/0VU2HMTS18mTWFxMXycnTKjVbMGFdpeB29GM0k7hmJGKc+clbIA1blAwf71LiywY3ycmaEhNk5V1XHQPeeujg1b/R8E3hPS5j20x0QD2R8nurRhmkI6k007hmJGLc9cKQvQqvnHFk18UF2lEusuXGByZGRZCkb3nLs6Nmz1vwh8KKTNh8imjyIOWR8nurRhmkLyk43NUMxGkh86F2orn9UhTnnmSlmAcVQI6HjwPO0VDWj5oAql0rIUjK5vwtUwXVv9bwcfRRSyPk50SCJNoR/1AzXs0W+5H1WkM9nssvC9zSQ/aitzmvysLpvRm2yyUp5ZIxeoq1RaloKJIiHkIrb6r5Nn006SM1kfJzokcZ3rRrslGBVnJ6mzA3VAG8XIm7Y/V4dL1lJbmbN22618NqCZQ++Kg7LihwnLs3Fh1aKDpg+qd+G7V46BmJTh+RMWfBNhDlctJ3JF1sh0/9vERxHFUT9130ZGDkxSKhdWVsttcJxdLBNQl+qyFrsyFgRgADsrmx8m2VDMVkwRSZoxXPfDRCGqDwqiSQi5iI3+t4uPIgKbbj7OzEND7Lz1ED1r5t0eJ1FkqrJ4nRsk2eJp/ejXPY+iXt1KuKTlkNzM/OqKymG0pGC4lSulqK2GdLYgb9LsHFkPQx1DmWub/eApoG60OrJLjmIk/Dzsu3WlY3qBR2J3xwjWx1WUw91qV5wMfbZlR2zFFNEmZgzjuOSDSsLnZot28FEkhe6PwRzl+GWJfKg+t2KK8GaMeLiSC5R1eZMo5TA8ngyTj8mmlXDJdgi1tIULPqg8hA5n3Zfl8WhgJxotafYARwi3e9czRbTy2aTRKU8Qp20rVHKBthn8zijohg4fAj6Bu3L1UcpheOyQ1DXTpuRjsmklLNVWSKtp6pUnuIhy0j/DStnyKG2zjq4vrfrcVvw5R1Dn1kHCHOou6mfZCoZJJMjG8DXj4vlpxJXUBMt9zocZDVozRbhuxohSniBK2zwQ15dW5c8pzg0Y7JAnc+TxmtFcifX1Rgn7bY18rGwqtGKKcNmMEaU8QeV/nbZpmb5MMkp46HAzSrD/2C4ObrvfYKc8mSLK9ZWVa6bBHJJmKkZ+VjZ5RqdMdDloF6Vt1qinXzdPaz+ZSnD0ZELRH7b197LEHCpXaztKpv8elLr1PcHz7cH7Sawm8nzNtILh8eonmywQpTxBlLZZolEuzWdQlWHrVavUZPHlBOLas5wLZJo6pSm4BHwr+AvL/pIHg/Y2yes10woWxmuyk41uRIeP/FhJFGmYODIyrhOWS3MJFXb9Dlb+CtOcfLqvsZyxm/VcIJM084/UEtVfoisdU9suj9dMK1gar8n6bJLzReWLDYRLw4C6MK8H/j/Ur/1GJCFxbhKdXJoycC0rs8M1pWC2brAsqRwlF8hFn6FJdPwjtej6S+JK0OhcX1m7ZprQP3aWufk6tQWiVB2NMV69GS0L6EjDgLpYwiYayFYpA4gvw68pBbNrs+WMT19GYBkd/0gttv0lLkkvJUDdiSYqMcZrpqLRbEZSOB0X36w8QS3VE01HzfOUSxnEzh2Jq1+nmUM1+J0zmhuIiQX9vbTEQ1u+BnX9I7XY9JfELP+R1j2jZVHTKCuYZkS0PoeubIQQjwkhvi2E+Nu4ffIYoFoaRmeV0wH8H2S/lAG0pl/nQg6V199bRtc/Uottf4kL0ktZI+J41VnZPI6yzH0iem88RqlIw1TkNJpxGfhHlM8iSWxIfujk0jTTr4uaQ1W1D+XRDha6u5kYHWXfnj2cGYwhJdFq//OErv+xmjB/iakxl7b0UpaIMV5DVzZSymeAl+L1yGMFV0M164W0mghhTVKGv2YfOqSkd2GBHePjzAwNsXEqRsynLyOwjK7/sZpm/hJbY87TnBjj1ViAgBBipxBiWggxzQsvmPpaTz1cDNW0KfmRlAx/k33oKpVYd+ECkyMjDBQjxnz6MgLLNCtNUUtYqYo8ysy4hsHxamyykVIeklIOSymHue46U1/rqccG9C7UJEM1o0rqRCUJ34vGPhRKJXbtjxG95oLvyBXq+UeuAb4flZyr6y+xPeY8RsdrpqLRPAGbUUq0YXkBSYZqRpH8iGsTt61fp7EPXaUSW48e5f6DMTrhsv5e0pjwjyQx5nRpoSy50xgcr5mabLRrkcfAViiplT7HDNW0igE/UlrhvFfQ3IfuRTOKA5mW5HcBV3yXU6wOr68tYxFhJdByaLMlGvVrWNOjrxP6/CngfwA/JIT4lhDi30bon8cWroVquuhHiormPix2t0OMcgZwYcxlUYooJdmw0JWNlPKXzW7SYwyXQjXzIPmhsQ9LhQJHt7ZDjHIGcGHMZVGKKCXZsEyZ0RJhjJX6WoDcsnr5ONvXx/WzXuztCi76kaKisQ+lQoH9u5rEfMa13dfmilwNXAe8gBIa9SWKV+PCmIsiReTKZJMSXhutlvnwJgD9cz6ecgXNQlrDQlhdock+LBUKnF+7lpHJycaJnXFl2V2T3M8KLow5C1JEecVPNh5zuOZHikPNPpQ7Opjv6eHQzp0MzcxwfFMDT29c271Nyf12IO0x56WItMmOGa2f0AtMIOnrnWX2kesT6ZKnDi75keJStQ9X3blyBrgJuBFVs62argOwZzd86HfgciPV7Xq2e5uS++1CmmPOSxFpk52VjeYvOSPy2R5PHTqBz6HM9NXrmw7g0z8Dv/M+ePe7m3xBPVl2FyX3Pfp4KSJtsrOycZBK3LmtPJy2yZfQIHZ5AtPb7f8ZeOOTHJNlePpnET/z33kMuP02OHkSPvaxkC+std27KLmfMRI79w3en7pvIyMHJimVC5TKXVfeL3QuUegsMXnfCJuePQ7PmulXWvvbKtlZ2Xg8LjB7Ar50J3R0wRuf5FPAXcBX/wbe9ja4GDZ51NruXZXc92iz6ebjzDw0xM5bD9GzZp4OUaZnzTw7bz3EzENDbLr5eNpddIL2Xdk0kiX3eOpQW0r37rvh8OFreSfw/PPw1rfAfFgkYz3bvQ3J/SxRJ9WgLr3ol31OQTpmsO8MB7fdz8Ft99vZQA5oz5VNM1lyj6cOtb7Anp7l/6++Gq7RWWnUs92bltzPGpqpBtrt4oafe6zTfpNNmCy5xxPC3XfD/v3w4oswPg433AAnTsCrXhU0iCLLblJyv93JonRMG9F+k02cUNN69Br4Dk/muOMOePRRWFyEjRthxw54+GG48UZ46ino7SW6LHu9XJGrUZL715DNfKU0iCId40mc9vPZ6IaariH5ksrtgg07fQJ0dsIHPwhLS3DbbXDqlHr9Xe+C7m646y71+OgBokuTmMwVsVGaOwt46RinsTLZ3PLSKaYNh9EJDIX7WZAlT6s8QTOcDps2bacnmfIE5TJs3gwDA/DMMyvfu+ce+NKX4NAhlJk2LU6zuvRExR/5DMoEl9GVUeh59NIxoaR5X8iMGa2vV0/0MrSdC7Lknszy/PPKXFbL5cvBRJMm7V4m2UvHOE1mzGjGJGhckCX3uE09M1QWiFImOY9SN146xiyGzbGZWdkYQyfUNE+hpZ5oNAqLzwJRyiTnES8dY45m6SExlcfbb7JxQZbc4yZRFJhdRHdSzMrkGZVBVHj5WqKFn3tWYskc236TDaQvS+5xkyZmqD7d8oZp/kjRTQ6NmkRqE80Ugtk+zQO7CRVmHjX83LNMFHNsBDLjszFOK6Gm7RpamjPO9vdrF8GbpcpnWBUWb0sUsW3QCG2PfIwHUaHNPrw5HlHMsRHun+072cQlx6Gl7UbsaquuKi7rmv4a1dvxeMBKegj4ySYa1bbMWiqTzwGUKS7lFU5uc3RiYHx/qsLik8jv0WYNejcKH9Z/BRfHeurXrqVx1J4+m7hYsmW2HbpSPy5KArkcFr8BvUhLV/vvcQNL48ivbKJgyZbZdkSVoHFJ3qYM/HnwSKsPjdiMMuWG5ZA1C+v3/kiPiXFUB7+yiYIlW6YnBAvyNtZIsw+thvVbyK3wZBBL6SF+somCl7rxuE7csP52l7rxrMRCeog3o0XBS914skCcsP52l7rxrMakEjl+somGJVumx5M63h9pF5d8YSn5QK1MNqdecQvizum677kYaqhNxZZZm2cDapLpZJUtM2x/XUwKDOtT3HNo63s9BmhTf2QiYcYNcvOWvlCg9KUCI5OTHN+kL23Q8nWSkg/U+2yi4qVu8kOWQ7BN4/2RdmjiC+sqlVh34QKTIyMMFPNfq9pPNnGo2DLHUdUBx4PnPjQ0GkXUkj7QsOrZfo6xwwcpzg0ks/1HgCeAfcBbWL7hVkoyXx08r5fEmzd8js5qasYnPcHzKPOChi+sUCqxa3/+a1X7ycaTDlPAEGqiXgAkLFzsZfzpHQw9OMPU6Y3J9KNeuO8l4FvBX8ivSnI1vvTGSuqMTxaC50PB+zpo+MK6SiW2Hj0at6eZwU82nuQpAiPABVYVuiqVu7iwtI6RA5P2VzhZLylgEl96Y5km45NS8PoIeuNT84dK92L+a1X7ycaTPHtpXk0RKJUL7D8WVLmy5VvRCfeNSpb9O94fqdAYn5RYHp/N0PSFLXbnv1a13dDnflYlgQlWR3/09c6aK/vsAi6FObrIBBqTTRdHT27l4Lb77cm/6IT71qOqxEDuMJxbkUk0xicllsdnMzRy85YKBY5uzX+tarsrG81s47n5fqvdSBQv+RGOpsVg8WXLv/bi+mJyFv7rqcHk+NTwhZUKBfbvyn+tameSOivx7pnOtYhRgsApiXpNWu5XN8rZGsLl9Z12x4WulHothsJ/mx3HTF8HMXBqrMcYn83Y+LopJkdGKJRKdJWWl0xLhQKlgsqzOTO4XKs6r+fe+2xM4ksQ6DHK6hrxtRQA25YFnXDfWtot/LcdMTw+j2/axNDMDId27mS+p4dyRwfzPT0c2rmToZmZSAmdRkgpv0xIaf4XhRgelkxPKwejLkE3Is3qrvlGtqP3S1nT5i9+Uipn5QRqad+NuhD2oErfukiR8D4XUeGjF5p8z1pUzfjgM/KTwvz5nkOZNqPk0XShXRyvlfOX11+3jXBqZRNjfJoka+d++Ddg+owM7XR2VzYu+kYMSn5Mnd5oJs4/SXRzEwaBSdQFW/sLshC8PsnKC9nG+W4W7ltLxPDfTJ4/jyLO+PSEks3JxlU5dEOSH8W5AUYOTIbG+UfKZLaNZm7ClT5vQv0y3MnKDO2dwetVloWBYtHe+a4X7ltRELiGWOG/mTx/npVEGJ8ePZwJEIiEq3LohkoQ7D22m1I5xGhcAvYDB6N00CKauQkr+jwY/B+yD7v37rV7vg2H+2by/HlWozk+PXpkc2UTRQ49SQxJfkycHKVU7mreqAS4pHChmZsQp8+jExNunu8GZOr8zQGHUf7GLcHfw/giafUwoZXWxlhZ2dzy0immPynqJnCGoRUOmrAcehTnpU6YY3X0ST1n4OLF9Xobc0nhQrcvMfq8XlfKw5H8l8ycP9ek711mCmX6LLH8o6rigzuC8uF401pTrK5s+npnNRtG/GKH5dBNhDl2r9EI8gcV3eQKun2J0ecFXSkPR+TvM3H+vPS9PlH9kZ66WJ1sZh+5HvmEWPFAsvqhOSddwXE59DODg9x/8CDXzs9zVbnMtfPz3H/w4IrErWaMbpig0BkSj5tEHkoULObOTIyO2j3fhk1JmTh/Xvpenyj+SE9Dsumzybkc+p7N+yh0hozuAuCSwsUe9CabGH3et2ePvfNtIaQ6E+fPS9/rY9Ef2U5kc7LJuRz6YN8ZJh8YyVacv8XchDODg3bOt6UQ+kycPy99r49Ff2Q7kc3JBnIvh77p5uPZi/O3mZtg43xblBdy/vx56Xt9LPoj24ls5tlUMJEfMQphQXNyi6Dc0cFV5YQrbGUxzt9mn03L30cJoY+zTZfPn5e+V+jIK42ios6amdLS9sFlgOyubEyhGdXcefmy3X54kifhEHqn8NL3+vJKFv2R7YTWykYIsRFlve4ExqWUD8XdYFgsfrOclrB8F9tx/o2+vxURwVZk5p0SL8wiuiUGUgiptj7WK37P2jwbGkvfh5GpkgnV4cy1VHJpRlgW25xkdZ4NqEmmQGQfnHPHQ4OG53ffsNbnQ1c2QohO4GGUlfmHgV8WQvywdg89HldxPITeOnX8YKlK3ydJ1HBmr5XWMjorm58AnpdSnoH/v727CbWqjMI4/n/MorLEQAlJSYto0iD1EoQg0RdiUg0rGjupMBpENYkGTaNZIGoYWRKaEBF9QIU1qLyaYaZFH4YXi2v03USKp8HelpZ1t+W7X93n+U3uPYcNey0Oh3XO+66zXpC0CbgF+KhkYBHFrQC2MfUsu9O0hb6Tv+yDzbrjh5rR9OdE2plPcJZfHF+XPZuLgANHPZ5onzuGpFWSxiWNH+r4A+qIqgbeQh//Iu3MvetSbI63uPi3xTvba2yP2R6b03E0VER1A2+hj3+QdubedVlGmwDmH/V4HnCwTDgRFZzsluo49aWduXddvtlsBy6TtFDSWcBtwAtlw4qIKCjtzL2TPXX7rKQVwOM0K9nrbT86xfWHgC/bh7OBb/5nnMUsgSVdr90BOzpcdkrne5Il1+EagXwvmAkLLwWmHbtb4HZE8BefwXc/VgqupJP92l5se85UF3UqNv+HpHHb3RqxB2CU8k2uwzVK+Y5SrlAv30wQiIiI4lJsIiKiuD6KzZoe7nEqGaV8k+twjVK+o5QrVMq3+J5NREREltEiIqK4FJuIiCiuaLGRtFzSx5I+lfRAyXvVJmm9pElJH9aOE5AregAAAppJREFUpTRJ8yW9IWmvpD2SVteOqRRJZ0t6T9IHba6P1I6pNElnSHpf0ou1YylN0n5JuyXtkjReO56SJM2StFnSvva9e3Wv9y+1Z9MeTfAJcAPNyJvtwO22BzktWtIymrF9T9m+onY8JUmaC8y1vVPS+TQ/dr11iK+tJAEzbP8s6UzgbWC17Xcqh1aMpPuAMWCm7ZW14ylJ0n5gzPbAf8AKkjYAb9le206DOdf2933dv+Q3mz+OJrB9GDhyNMEg2d4GfFs7jj7Y/sr2zvb/n4C9HGcS+BC4cWT275GjsgbbVSNpHnATzeSwGAhJM4FlwDoA24f7LDRQtth0OpogTm+SFgCLgHfrRlJOu6y0C5gEXrM92FxpxlLdD4zKOegGXpW0Q9Kq2sEUdAlwCHiyXSJdK2lGnwGULDadjiaI05ek84AtwL22hzhDCgDbv9m+kmbi+VWSBrlMKmklMGm7ywzAoVhqezHNWZt3tcvhQzQdWAw8YXsR8AvQ6z56yWKTowkGrN2/2AJstP187Xj60C47vAksrxxKKUuBm9t9jE3AtZKerhtSWbYPtn8nga00y/9DNAFMHPWtfDNN8elNyWKTowkGqt00Xwfstf1Y7XhKkjRH0qz2/3OA64F9daMqw/aDtufZXkDzfn3d9p2VwypG0oy2wYV2SelGYJDdpLa/Bg5Iurx96jqg14aeLoen/Se2f5V0N/AKfx5NsKfU/WqT9CxwDTBb0gTwsO11daMqZinNsVK7270MgIdsv1QxplLmAhva7sppwHO2B98SPCIuBLY2n52YDjxj++W6IRV1D7Cx/fD/OT0fF5hxNRERUVwmCERERHEpNhERUVyKTUREFJdiExERxaXYREREcSk2ERFRXIpNREQU9zutiku5Ref5kwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "plt.figure(figsize=(7, 7))\n", + "heatmap(mesh_predict_result_ad_opt)\n", + "scatter_data(train_for_pred, test_for_pred, train_result, test_result ,yshift=-0.014)\n", + "plt.show()\n", + "\n", + "# 赤がA、青がBのラベル。●が訓練データで、■がテストデータ" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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JpQQ4HBHjO9kIITqAnwc+DyClXJRSvm66Y9bYqh3hCRt6qnnj7Kq07diad9LoWE4iJcDhiBgdn00P8ApwUAhxFXAC2CGlPF3eSAgxgrqN8M9+BGXSaERawxZbdTVc9T99woSeVvEPXIiyOYj/uKjl/0iKKMZyHOHbDodBfEsMCCH6gb8E1kspnxFC7AN+IKX8L7U+098i5FQLyy+uVu+hG648izKJLNZp04b6ZedNYFrhk41KpdeQzc+1LpJrLTCxY4iBdUe1N2G8z2mThq/BhcmmkVIUSRFiLCeFqRDkpGTzm40kQp+jLDHwIvCilPIZ7/kE8DN1PyFpXFrDRlt1Hdn8QrGNM4trGNo3QX62J8ZONRlpzDuxcSw7HDHjO9lIKWeAfxBC/IT30i8A3w69xSDSGrbZqjVk8wvFHHuPOHU/Y6TVl2fbWHY4YkarUqcQYh3KKNEGnAI2Sym/X6t9vxByqt4XGjJxGDdJaVb/61g1x9zYpVqbcGa0KlQpMVCNLmaYoUaJgVbUjTxrEvzb0KssGdIs58xoKaPkP/4DtK5f37IcIdA1o2kldUopTwL9DfeqhE0mjiBoyuYvvNEMafEG0S0xUC85qEi0ska2oFvCeBHlJ8rSvjuWU+4/1pyPtVM/DJCMXI1tJg5dNOeQ9ktcrVkrsDUUOi6aed+zTr2y65YS/2STZLVNaEzjaRjfrPhc6yKb1h8O2KkQfdFtl3VNK52y3s0swd/M+55ldMquW0b82mgmpDU8O7b8zDq48kp47LHl77e1wegoMw8/zOUz/xh6My891k13wednYhF++Exr8HwITT8FXQTTqcq6plUb/hFqzSzB3+i+N5hT9lJ3N92zGgO7k0g0Dq0l6tw8nbLrlmFmshGoNVOtPJs6v6LDOAPlRgGtrfCVr8AVV8DCAkxOqjdbWuDRR+Gmm+g+dy7wd0OZc/NVvfYXzS/tuPb+JCUrE4Kwzl4jjl6LQ6EbkYqPlAD7Xt6nyZMbGNo3QaGYo1BsUy/Oo4J7DqGSIHwE0bUmGtD3RaWRarl5AY/jChqw1Ncal6HLQOzRc+ebMaNdQfwhnsUi3HknSAkTE3DNNer1hx6Cm26C48fhgQcMbdyRGGkNhY6TEPuen+1haN8EZxbXLE00JQooX8EQ6he7ozb1fCuNHMcUxiCZmWxyqGX7GGq5N+Y9N+0XeOopuPVWZTZ74gn40pfgttvg2Wfh+uvhrO7PYEdq0CjrnbifMElC7vvuI7soFH0clAVgb5hONRE6vpUwx1HDf2wb9hZPC8vjj8PWrXDppXDLLfD883DddTBnyTo9j/IxlQtTbku0R7X7ZPhX6/X/8A8cHRvjda9g3esdHezfto22NvjEJ5QF1BcnwV+fkPs+fnx45YqmkgIQcSxMopi4DnR8K2GOo04Jj1okVEole5MNQEfH0v8XXwyXWGJDmQT6UCu9eVRsfMl2a2Of+rz3DTB49ChfKxa57sMfpvOaa2iRks75ebY+9BCPPgq/93vwsY9pfJGTgqlNA/u+cHatZsPg320lpq4D3eMT9DjWK+ERhBh9wNmbbG6/HfbuhVdfhbExeNvblHntLW9Jtl9+ttskMGVP9qEnn+cPb76ZlpERRIWPre1zn9N2sXV1eqF2zSQFo1sCvaQgEHLf21dpSGVAKn0HKzB5HZgsj15ewiN+/c3A2FsWOgw33wwPPqii0TZsgBMn4Nw5+MhH4Mkn4b3vTa5vUcbFlwZW0DDoSoLYkyOslr1r925yhcKSj+3LX1Y+tqNHlenz2Wd5940f4DN3/OqFMt2+kVvNIsEfU3jw8Ppxxp7eWt+Ulqay3rqpBbUIex2YLo9eq4SHhZOPljZaUPp7hJz6ZLjP1gsXrXnD2YgKfX7uORX6PDAAx44tvf/wwypQYMcOxL59wb67cjuaiMrjqqmrVs5VV9VNG+Kee+C8X7nhehjQetOiskzA7bfDwYPq/+efh/Xr4eWX7SoTUINGwrmTkIPXJT/bQ99d05xZXFO70WrUL+s6eSJSBNjHR/SblhO5vmAtOggeop1HmeHO1G6yuu0003f30dt1CogoRSCEJmLY8RhliYF0UCzC4KAKcy6faADuuEOFRd97bzJ9g8A22VLa0Pi4mjtLlNKGtH0aEfQpcq23yqDAWj62tGroZYDerlNM7Bhiddtpcq0VhXiiLOudJsL4p+r4VnKti6xuO83EjqELE02WycZkU7JjP/+8MpdVcv48HDjATFeDXmJNe3nV7QS8X8eSNpSU1lt5bkw9H5slcR3NysC6o0zf3cfItQfoWDVHiyjqlfUuQ/ua0/VFJUnY31xVyqN3rJpj5NoDTN/dF6jYYprJhs/Gs2MblyKvYS/X2q6u7XYEuE89rePSiCZtSKNPRrTeSmWSb/Txsf3X95Lt1HJDzKL00Bopy+7R23WK/Zu3s3/zdiD4NXb5jHIq2mwy1KJR/1SFb2XuixGapcspyeJYSDZWNmlAJy4+B1TUXTOaNqTRp1xrgZ2DEWfuDQJtrfDpT8PiItxwg5poAD76UTh0SDmsPnZbtNttBk6iSgs8zZK58qz3/C7vfUdwqlyb1lEevm0hbrKJi3px8T42cGNpQ0nZk7uAjxbhxkEYqvCxtQK/dgf80Z3wjwn62NLILKqkwCKNl2V3KC4iHf6pFJQccJNNnFSx3frZwI2nDSVlT14HbHkeCk+uzI35vfNw7oCZ7WaZI6ycZCpxJQeC8U60/VOJEja1IsZkZzfZxE3JdjuHuvDnvOdVfjVVpg1t3Qr33afCoZ98EjqrOVW7WS5HUetRLlNR0ae5sUvZv3m7+QiZUm5MSUPvU97rv4EKM98CHMTuX+IJSf1U5Th6k83xEN+9DfjMVcgPfQgpxPLHxRcjf/3Xka2tvNSdXCVII/wvEl/R9OTz7N+2bYWsU0++bJDplhzoQIU6lx4xliCxLs/GRkwGHlRznIqNUjdtiHsr04YC+GHlIxY5bU+iTDxFapemsEwJYPLkBgbvm1wuHQ/KJJkjnHS8RyiHum4emEDdnILw4Vb47nfVgLzxxuUlPCYmVIjk6Cjs2bMyx0wD0wEEYmPIa7iyVIomke1PjetiMZejkMsxNDHB0YEB1U+dXQy5P1B7n5ovzyZDdHXO6KUNfTmZ/kVOCn0NJQn+uKV+6mKy3ELKS3hckDYKSpJyPHWui7ZCgTVnzjAxNKRWOCZlcSIiG6HPGWPm/suXv1AjKOvA5wyHesdFEF+DJXI0gST4I5T6qUsppLzesWyk3ILxWHxzVF5T2w7ut1+OR+O6yBUK7Ny7l+3D+83K4kSAW9k4ksekr8EQVkrwx1FuwfYSHpqMDu4h1+rj5Eg63FnjumgrFNh0+HDo1Io4cZONI3ksLu1cCysl+OMqt2BrCY8A9HadYuKGIVZzmhzL5XhyLLKa01z98W8mGxygeV20Lyw0lFoRF26ycSRPCks7WyvBb7rcgq0lPIIyCwNPHGWaPkY4QAdztFCkgzlGOMA0ffz5Pe9bHvEVN5rXxUK7N8hCpFbEiVmfzTb01EY6iU063WEhpn0NBrBagt9UuQWdEh5pMad5/pBeTrGf7exn+4omi4Wc8ofsj8vpVoHGdbGYy3F4U8UgO8/y8ObzpjoYDLOhzwEk+cPKi8dBUjLyobabxtDnWZSUymKdNqViYDFX3Kx5DjSk43Uk+GthnZbYh3Vj8e+1MvR5BZVlLmqRZJmLgNeFyVD8uvT3I6emXOizIwWksbRzCmzkkWJ7CY+gpMFPGOC6sDIUvwI32WQNzRty6LwDU6SxtLPlNvJI6cS3hAcEKCmQNGnxE2peF4FC8RPC5dlkDW8Osc4Mo0MaSzvXKsubFnTLEWj4VI2X+IgSU35CE35qjesiUCh+QmPVrWwcjmalmcsRmMpJ0o2PiDiOwspQ/ArcZONwNCMplAiKlDT6CetgbSh+GW6ycTiaEVeOIJ1+whoMrx8n11ovbI3E5Wqs89nkZ3vYfWQX48eHWTi7lvZV8wyvH2d0cI95yXtHMmQtH6sbvRVBF7FKvC9DVyLoT71HLdJyTmqRRj9hFUYH93Do2O3+eV8JytUYybMR/f2SqSmk0HdSCylVWdMhQseJm8ppScrZ7udwTWUQQDUSzseK3LEd5LTU2LTxcxvkmPuhcU7cWK5CxGN58uQGhvZNUCjmlk06udZFcq0FJnYMMfiZyWg3Cnbk2eiGQc50ddUva2pJnLjDkRl0Q38dqWFg3VGm7+5j5NoDdKyao0UU46m6q4lRM9rlMwFsBNvwrzQXt2R7GsmaSSrrbEMVMltAOW+HUQq+praVEjUZRzh6u06xf/N29m9eKb+TNPYECOiUNY1bsj2NJBR66QjJGDCPMqfNe8/7lEkkctw5dySIPZONbvx3gnHiDkfk1DAZD+2bID/bk0SPHA4j2DPZpKCsqcMRF4Vijr1Hkqzc5QhFZ8TtMoQ9oc/DRF/WVFeKw+GwjEKxjcPHN1lpe3fUIUt+0Dywm+o+xRACs/ZMNqPAIfwnG90feydRGdBFlvIJSlIcx1DZwWVJWzaGXtrYpzSSKs2uMn5wrrNm39M2NtLW37QS2VivloZS8ikeIlS5AnvMaFFKtje7FIcjGziTsSMJDKWh2DPZQHSS7U6KI11kzc4dhYk2YWmRzJ0Thz670U9DCYA9ZrQSUUi260pxHCf1MhWJELUvLEt2bvCXoNGp8pmwtEjmzolDnyBpKAHu03atbKIiDVX40kozy9JHRbNV+XSkC0NpKNmcbNJShc8EJs0fzhcWHUlU+XSmMYcOhtJQ7DOjRYGpKnxpwKT5I4gvzJkn/Ym7yqczjTl0MJGGQlYnm0FUeLPfZBO0Cp/tmM4r0vWFPV22TZfr5HCki6jTUDxSNdlox+qXqvBV5tmAmmRaSVUVPi0C5hWFQtcXVkT5b24AnjDcJ4+05tKExdT+unwYxwWfol+5l4A+xWz6bCBTVfh8icuXEkSWfhH4oxj65HA4oseAT1FrshFCvCCE+J9CiJNCiKngm0mIUhW+MVQ435j3PEsrGogvr2g9K+u1+5Cnh23sp4PXaaFIB6+zjf3k6clGrlMeJd1ffkFuo37CWzfqx4/fozvBPjqSYxY4CGxBFWPb4j2P+4dZyac4h7pW57znIaMkg6xsrpVSrpNS9ofblMMYQfKKGmGQQJPNJBvoY5oxtjJPJ5IW5ulkjK30Mc1kcUPjfUqSSVS+TI0yAdQqiqh704ji5hK2j45kyHBqQXbNaM1EXHlFJV9YnTLnJfL0MMQEZ1hDoeIDBdo4wxqGmCB/NqUy+mmoLJuGPjqWyHhqge5kI4EnhRAnhBAj1RoIIUaEEFNCiCleeSW6Hjr8iTOvqOQL81nh7GYXhRUZi8spkGNva0pl9A1JekRKGvroWCLjMlu6k816KeXPoNxCHxFC/HxlAynlASllv5Syn8sui7STJsjP9rDt4H46trxOy8YiHVteZ9vB/eksWKXjS4kyr6gLFWhRZ5vjDK9Y0VRSoI3DiQqANUAaKsumoY9ZIQo/S1zm8IQQUgYLoRRC/DawIKX8bK02/T1CTn2ywZ6FQDsctJp8NiwP6yuLtrA+HHQWZc9drN3k9OrV9E1Pc6rX37vnt7/iVklPPs90Xx9rzlQX+GqhiNT5LSMknLf8+FajBbXe12lXeQMJsruNRDg30sda3bH9WkiCamkHsDzNQif6daPe5ootLVxU1DxhcdDfj5ya8h0YvncDIcQaIcTa0v/AdcDfNt7DhMiiHbvcl1Kx2ljM5Ti9ejVDExNaE40up3p7GZqY4PTq1SzmlpvLFnM52nWFk9am9OaVhsqyqyNu51hJlH4WTXP4Qns6a0/omNG6gG8IIZ4F/gr4EynlUbPdMkhW7dgVeUXFlhbmOjo4MDJC3/Q0RweiF9s6OjBA3/Q0B0ZGmOvoWLZNsVGuFJmsJGkZ/UYYxv79e3vE7RwridLPomEOX8zlOLwpnRdNYDOaDlab0TpQoZ867ebUv2k0HTSSYa5jRvNFR0Z/NSpBLI3qxo3sX1xmtHbgtGY7nWuCdF4LvmzjwrVel05W6sttQS8adBUq3LweEZvDYyMqM1rmMCSf7agg6zL6adi/ehNhmHZZRWeiqdUuyrQyWBU2AAAgAElEQVQDzxxeyzRtwhweJ8032aTB1p4VkpDRj5Ow+6erYNGo0oUb6+aJOu1gHTVN06bM4XGRKiHOSDAkn+2oQdwy+nETZv/8KnlGhRvr5jFQzuRUby/b9+9n+/5sXTTxTDYBZObzsz3sPrKL8ePDLJxdS/uqeYbXjzM6uIferlON98WQfLbDUZNu9KKRuoh2Isr6WG/E1xIVzVrOJATmAwQCxKBPntzA4H2T2vkvoclInk0zyepHErSQFHEFBFQj4FhvhNivE828FAAeMfg9UeXZaGLdWLciQCBADHp+toehfRPx5L9k3ZfgcJRwY908zVTOpAHMmtECxKDvZheFok/iQin/JQpTZtZ9CXlUTtE4KrKuHWXDHyW9EWCOcGR9rCdJLVPeWeBPvQeYNeXVw6L7gNmVTQCtn/HjwxSKPnLCTsdJDycr73DEQyNh06ax7D5gdrIJEIO+cHatXluX/1KfLMrxOByOYFh4HzA72QSIQW9fpZnC7HIC6pNVOR6HwxSdEbezAQvvA2Z9NgFi0H94TLMrfgewCeje9hKzc93BomjKKZkjnQ3foYtG+LZA0tU5w8z9l8fSpchIwpdimiDlJWK6DxiZbE686WrErVP0/Gx9GXqA0xevpu8Ppjn7jjV6X65rmguIjeHNNUMcw04y5aTMHGlduGezoVmXZXau22w/HHpYKMtl1IzmJ0Ofdq2fVOPMkQ5HdrFQqsi4Nlo9Gfq0a/2kFidREi9xaaE1G1n0tUSFhSUwjCgIiP5+ydRUwA8FaGvAopIqM1qjXY1S2t+iOH6HQQKMOfmIRuMAElZWE4VJGwLl4VhX4sMKBQGHXUQtfW9ZHL8jJZxE1W15miUf7Fnv+V3e+81G1Hk4FpbAcJNN1jElUWJhHL8jBURZRtkGNNMDE8EyqaLkSwyUzDC2YIOSbJRE+YtJV724RJTyQknhzITREqSM8mbz3WmYn8U/vSNJLJIqSnZlU26GsQWb5SeSJuivzbTLCzkzYfQEkLBKBTr74wAMrWyufu0EUzUc7hecW+VmmBiwMQAgSeodj0hzWgLE8cfWJx3qjc+SXP8Q0QVaZIhq5+rCuY2yjLINGMr7q0cj97Ik89WSW9noyClUI02RKqZIUyhtWvN5LJT7SJSoxlzUZZSTRnd/HAlONjpyCqAcWrLsEVdJXZuZYfkxqfVI+lilOZ9HV+7jPpSfL+uBEFGNufUoiap6BCyjnCg6++MAkpxsLJRTcERMmksOBxl3zoejzyB6k01ayijr7I8DSHKysVBOwREhCcTxR0qQcedCvfXpQpVJbmPlTbrVe30HdpiAdfDbH8cFkptsLJRTcERI2ksO64zPSprJh9MIWSujXG9/dPNwmkBSJ7k8m8fQt4mfx+U1BKQnn2fX7t0Mj4+zdmGB+fZ2xoeH2TM6Go/wadrP1ShwiGBBLK50gz5dqDyaNOTS6FBrfzT2Lz/bw+4juxjfMszC2bW0r5pneP04o4N76O06ZaCzyZCcNlqQ6L2c95gg9K9l7XDBIFpHj4TqinlOorKwiyzPAWj1Hjuo++sxEk22Kl9hMvzcSEjnJMo0Vgp11qEFl3dRBZd6UJ3JkxsY2jdBoZijUGxbeqPOPc/UsQx9DWVKGy1Om3jalWRNyoGkKeQ6CsrlPnRxPkaHJvnZHob2TXBmcc3yiQYy6QdMXq4mCHHIn6RBgqYeJuVAkg6lToKS3Md5VNRZvRWO8zE6ArD7yC4KRR/HYBYknzzSN9k0YBO/YBs9nmHbaBA5ENvt5TbJ0Ov4cNIc6h0l3XBVN1x5JTz2mHpJeHbVtjYYHYV77oHL1mqWkLZpHDTIhZLuumTID5iuyQZC591Us43On+1k7OmtHDp2OxM7hhhYdzTCjiZEVuRAqvmdSjL0x/D1O0VOSbK9mg+n3L6e9sCICGh9Fb7yF3DFFbCwAJNe/lFLCzz6KNx0E5w7B3v2aNx0bRsHDRKqbHZGcg3T4bMpJ4xNPE9N22ih2MaZxTUM7ZsgP9sTTR+TJAtyILbK0Fsm2W4rxSLceSdICRMTcM016vWHHlITzfHj8MADGl9k6ziIm4z4AdM12YS1ie/G1zZaKObYeyQDNpAsyIEE8TvFTcmHM+f1Yc577lY0y3jqKbj1VmU2e+IJ+NKX4Lbb4Nln4frr4azOCtzmceDHLHAQ2IKKcN3iPQ9KhvyA6ZtswswH46yM9qigUGzj8PEMnNUsyIFkTYa+SXn8cdi6FS69FG65BZ5/Hq67DuZ0y3OkdRzUq0QalAz5AdPhs2nUJq5p8/zBuc768uhpoCSf4ZdnU8exmvj+ZsXv5KCjY+n/iy+GSyrMt6XrreqYS+M4KDf9VRI0/6qG5FOSZQIaIbmVjW4UiaBxm3iz6bClXQ4kC34nB7ffDnv3wquvwtgYvO1tyrz2lrdofkEax4GO6U+XjPkBk5tsdCXLz9O4TVxX5+pHyUwC1QX5jDGUXP6Y9zwNoaKaF+vcubV0bHmdlo1F5ahPm9R/HtXn8mCDKPehG/VDw+8RIkDKj5tvhgcfVNFoGzYoc9p996lw6CefhE6dpOg0+h+jrNyZMT9gunw2YRlFb7L5Dk4q3gaqmSCq0Hl+nvmznUha0leuOY6S07pRWhFHc7W2wqc/DYuLcMMNcOKEev2jH4VDh+Cqq1SwgC9p9D8mULkzLTTHZFPKkVhNfS/VD8mcRERTkRaJj/KS05VJomnZhzoUizA4qMKcjx1b/t4dd6iw6Hvv1fiiNJYjcJU7a9Ickw0s5Ui8U6Otk4pPN7afv6yXnO5SkWdPPrnyrfPn4cCBpXa+pM3/6GP669LVfLJpAo2I5plsQK1w/j+NdiWJCEc6sf386Zactnkf6hF12fI0+R99TH8zXI5sE/Q8n7evpLthH2I6Qp+jJEPlqE2FQCYe+hwFNp8/i8dgGs99vesg9v3RTD3IP/MOeKb6VyQS2lytnEbJh3iIhsq7lGiulQ00Xxh0s2Lz+XNjMNukzfQXkw+x+VY2wzip+Kxj+/lzYzD7pKkSaRAfYgPq0823stEJg86QRERTYvv5c2PQYRMx+RCbb7IpD4OuvOBz1JSIcKSAtJw/NwYdNhGTD7H5JhtwUvG2o1lye2ZVV3rPXxxjsNnKeDvCEZMPsfl8NiVKUvEVNsiXurvpntVIqe4k/SWkbaXKcU2r+GBdaozByGjGMt5JkeZqojH5EJt3sqngQoikrnSHrky6DzbeRP36lMbwWMcSzXT+TF5fF45jxNVEGzk/ofY3ppLnzWlGczgcjijIQjXRmHyI2pONEKJVCPE3Qog/bmyTDofDkRHSXE20nBh8iEHMaDuA57wupJ6efJ5du3czPD7O2oUFVRMjqFT5NvTMac6/43Bkj1mUqUy3mqjtOTeGfYhak40Q4q3A9cCngF1muhIfGyYnmRgaIlco0FbwDJVhyrbq+m0i8u84HA472DA5qUo/69ausamaaELormx+H/g/gLUG+xILPfk8E0NDrDlzZuWbURU9cjgcmaV0D9GtuwTYVU00IXx9NkKIXwJellKe8Gk3IoSYEkJM8corkXUwanbt3k2u4Jcu63A4HNUJfA+xrZpoQugECKwHflkI8QLwKPB+IcR4ZSMp5QEpZb+Usp/LLlMvxlSW9qXubqQQvo+XursZHh9fMp2lhQTL+yZJfraHbQf307HldTNlkx3xMQscBLYAG72/B0kuSqsbrloHH/wQK66jtovhE78OLa1UvaYC30NsqyaaEEJK/bhsIcT7gP8kpfyluu36+yVTU+rk6aLRjZrx5xsDbCchRIDjvPLDAdrGkLZjKk9jWY5ANclzUKGYOSKRPM8q1uXRVMtDgWWS+3ErIV/0Ycl3vwtXXAE33giTXhnulhaYmFBVRkdHYc8ekI9UHM8g95tSNVHblJ4jpP83YeqU9B10zZdnE1XZVk1JFUcIMl42uamwNA+lWFTlqaVUk8s116jXH3pITTTHj8MDD9T4sO49pBU7SwokRCAFASnl14GvG+lJXKzHP1yxFVV7wi9UMQUrqlQSk+S5IwaC5KHEHBr81FNw663w5S/DE0/A0aNwyy3w7LNw/fVw9myNDwa5h9guVRMj1srVBNIoC8IgSkLCb6DUs7GWdJCC0IFSTW1HaRGN4lR9axFE8txNNsGJU8frOFbnoTz+OGzdCgcPqonm+efhuutgrl66QhT3kCbEWjOa1kQDwXNYSmVb21hZK7yVJRtrrYvuJCq+PmhOzjzKn1IqtdqH8ks4VmJx2eTUUz5+S7/cSzlmd3nvR0mt1UElCeahdJSlqV98MVziF6bc6D2kSbF2sjFK2LKt9ezPdZipHHXO71AfVzbZDEn4T3T9Gwnlodx+O+zdC6++CmNj8La3KfPaW97i88G0lX62gOacbGCpbOsYymwz5j2v92tEx/7cCnwAtn1gP22t5xBILq+l9V7yO0TJNpZrG6UxVHgYvUqWNpVNTkN4ehI6XutZ+eu/koTyUG6+GR58EBYWYMMGZU677z648kp48kno9DPRh7mHNDHW+GysC9esRgD78zjDFIpt9dua8DuU16UomewOEShUOPFzEZPkeaTorgZml45vI/L3oc5REv6TCPwbJkpetLbCpz8Ni4twww1wwktZ/+hHob0dbrtNPe69N/BXO2rQvCubMASwPy+c1VT2idrvkIVQYVc22QxJ+E8s9W8UizA4qMKcjx1b/t4dd6iwaDfRRIvZyUZzAHV1NlhSUDcirdHcmAD25/ZV83ptdfwOUVyIJkx2JnGlu6MnKf+Jhf6Nrs4Znn9emcsqOX8eDhxYaueIBrNmtCrnyYiJJi75ft34+vUwzDhjT2+tb0rT9Tv4jfcOlMmsHnVMdjXLLSRd0tZ02eRmI8D4jZySfyMpmf2KciAzXF69nc3lQFJe0sSZ0YIwiJ6zcxBGB/eQa/VJFonK79BAqPCGyUmm+/rYOjZG5/w8LVKaDYV1JEeA8Zs5slAOJOX74CabIASwP/d2nWJix1A8foeQocLl5RZWCAumpaStQx9L/SeO5sDeySYuP0xQAtifB9YdjcfvEDJUWEsqPQ0lbR36WOg/cTQH1oQ+r8BCm+MFgtifK/0OeZT214+jp9Dchb/PRidUuAB839u+t5rSkkoPGgobpxRKNbrRW4mtQo3+JCSEZkl29ZC0/8TRlBiZbK5+7QRTSedq2Ei5bL5uioXOjbMUKlxNkr+cx4Cvqrby+8I/qKCEbihsNSn5kv/nGAx89QhHBwyHkema/MrDgEPmI0FZzkyQ2g53ATtABqodkW0ayTnS+azc6I510thrRssa9WTzo6AUKvyhOm3Kcm7ysz3RhsJqSKFMDA3Rk7c02afBfCTdENkuZpwvzNGUuMkmLnRk82uhKz/T67Xx898UYO+RndFKiWhIoeQKBXbutTzZJ2Q+0sz9lyMfEerxAYFsFUhWPi6E3Dpf2HLyZENqyVETN9nEhY5sfi2CKEZryvMfPr4p2lBYDSmUtkKBTYcPa3xZgpTykRohiCyMg8mTG9SYHsOpo2cYN9nERVSyNH7mHs3tLLzRHm0orKYUSvtCCuoCNNrFFMjq20J+toehfROuKmsT4CabuIhaDr+WuUdzO+2XeHfUqEJhNf0/C+0pqAvQaBf9Vosl3NXH7iO7KBR97L4RSC3NdGmG/9lc7t3WdBBN7A19zgglKZi/eeNdfIHbKOCjBK1LLfmZYZYrP1cjB5vWl9mKogiF1ZBCWczlOLzJproAVbCtdEHGGT8ejzr65TPVAzgSVzgPgs3pIBq4ycYkJyG/+R1QhHyxhy9xa3STDdAyX6T4xeWnMP/jPfSJac6wpubnVovT7ByM2FGvISVfyOXYu9OmugBVqJAQCnUz0i2sF6AAX1ZJTB3dI/YyD02MW8iboiIUuJdTTDDEak6TYzGSTVwwhZVRkslZ3XaaXOvy7eRaF1nddpqJHUP0dp2KpA8X0PD/DE1McKrX0roAUUoI6YaU67bLMJGqozusxk02pqgSCjzAUabpY4QDCM439PW51sXlprDy7aw7yvTdfYxce4COVXO0iCIdq+YYufYA03f3KRkdE/j4f4wndEL4zPwoJYQsrk5pG8Prx1f8KFqBM21mAiFl+GVkLfp7hJz6ZORfmy62oBeVtArlYykjP9tD313TnFmsYwprO8303X1qhRK19LghyZlGTBbhNhigbY2uhTKVzKJUAurdQ9tQE3OTi17qjHVWo34IlFacJcmncZKRG/JwZjRF/2/C1CnpezDcysYUDYS/BjaFRSk9fhJ1o3yapX1wJQeC0QXc4NPmBpp+ooEQ6uiTuJyclOImG1M0KAWTiClMQ3ImVTIrujfzqG/6s8ATPm2eID3H0TDa6uj1JJ9cTo71uGg0U0RQFbG36xT7N29n/+bt0fatFhqSMxdkVtKgGJxURd+sHcc40KnKqiP5VMrJcdVdrcOtbEyRxqqITmYlGkwcx1ngIMoXuNH7e5Dsro6qaaX55Y9BNHJDDiMYWdmceNPViFunIv/eVDnkSqHAlZL7oCaZVuyrihiBzErsQQAaxD5uopar8SndwA4iK3rmd/7qHct6nw10DspLcZQmF91yGGAsJ6eSyPa3SXArG5OkrSpilCUHmpmYSzekyo/mRxSlOFxOjpU4n41pgkrBJFnpMgI/k4Noj6OG/yf/wx5279nF+D8Ns3B2Le2r5hleP87o4J7ok3dN00gpDnA5ORbjVjY2kXTYcRr9TDYSY+mGSTbQd36asRe3Mn+2E0kL82c7GXt6K313TSv5/jTRSCkOWCE35LAHN9nYgg3mkihLDjQzMZVuyNPDEBOcYc0Kzb1CsY0zi2sY2jehqrKmhbD+lijlhhxGcJONLQQJl60kSunxtPmZbCWG0g272UXBpyxroZhTVVnTgq6/JUf9nByHdTifTQjysz3sPrKL8eMR2siDhMtW+n+ilh6PouSAw3jphnGGfVXEC8U2Dh/fFF+uVqNolshgBJdLkzKMaKOJ/n7JVPShz1ZQLSwT1AWQQy3jA/y6uhAiuVHzAwJl104QG8Ob65HqMNQ6OmstFJE6xokW0lPOII+SnTlTp02FVlrYcGxbSdt4ddpoJjApl+HCjh3VqOP/addNPklTKHAv6gebrlaaIzW4ySYIQeQyguJk6R21qOH/GX7rOLmWDMrzD6CnleZIFW6yCYJOWGZYuQwXduyoR8n/M4Yah2MwumsPuYt8BmTQUOBqMjHbiF/csqSVNocyAc55zytWNFcBdH5wpZTPeBv86CfcDc4i3LkIgm5YZpjwTRd27AhIvVIUoUxOKZPvbwWOnjkDvzgOlwwshYmfa4GRR+Ga3+MPnnsuyS46ynCTTRB0bd9hbeQu7NgRkGqlKEKZnFIo3/9j+TyX3nILSAlfnoBrrlFvPPQQ3HgTHD/Ore95Dz15izrdxLjJJgjDrHRaVtKojbyKuYTNuBWNoyalUhRzY5dSHL+opsmpLib9kYbYtXs3LUePwq23QlsbPPEEfOlLcNtt8OyzcP315H7wA3butajTTYybbIIwit5kk6IcOocDMOuPNMTw+DhthQI8/jhs3QqXXgq33ALPPw/XXQdzc7QVCmw6bFGnmxgjSZ1Xv3aCKQOx4onHzJfCMv3ybAL8omxknxqJx0/8WDrqEvv5MemPbJCa47w88rujY+n/iy+GS5ZyBNoXEuh0AyR1TzCNW9kExYVlOrKIaX+kCUq5abffDnv3wquvwtgYvO1t8NRT8Ja3ALDQblOnmxc32YRBMyzT4UgNuv7IX8aO0GhQOWcfvBkefBAWFmDDBmVOu+8+uPJKePJJFt/8Zg5vquNEDRLqbUtYeFgSrvbqJhuHw6Hnj2wB/gh7QqOvb4Xf+zQsLsINN8CJE+r1j34UDh2Cq65C3n47e3fWcKIGCfVOWVj4CpIuX4KbbBwOB/jLxJRcIGexJzT6LUV4fBA+dBMcP7b8va13wEfu5Mb3v59TvVVMDkFCvVMYFr4MG8qX4CYbh8NRop4/8mbgvM/nkwiNfuvz8AtPrsxNe+95eMcBjg7UcKIGCfVOYVj4MhopXxIhbrJJiJe6u5FC+D5e6u5OuqsO24nSl1DLH/k17A2NDpObFiTUO4Vh4csIUr7EIEZKDPT3CDn1yci/1ihxh5pKIeCqq5Qj87HHlr/Z1gajo3DPPXD+PDwS/PtdaLM+SYWLRnKOIi55UZMWlJ9Cp10ayhkE2R8ZoK2F+15saaFF4z5fbGnhomLtHah1neiWGHDF05KitRW+8hW44goVSTPpeRhbWuDRR+Gmm+DcOdizJ9l+Ouyl3JdQSWnyGWJZ7ZfQtINWRYO0RBkH2Z9SMIBOWwuZb2+nc95/B0yHiPua0YQQlwgh/koI8awQ4ltCiN8x2qNmoViEO+9Uuk4TFbpONyldJx54INk+OuwmTl9CHFJNcRJkf1K+7+PDwyzm6u/AYi5XP0Q8AnR8NueA90spr0JJQW4QQvwro71qFp56qq6uE2fP+n+HoznJ418+GaLzJUQl1dSNcuL7PUy7KoPsT8plqvaMjlLwmWwKuVztEPGI8J1spKKk91CyBDuHQFTU0XVyOKpSyvnwm2hKRKHWElUFTd3wWtOJhkH2J+XVQ0/19jI0McHp1atXrHAWczlOr17N0MRE9RDxCNGKRhNCtAohTgIvA09JKZ+p0mZECDElhJh6RbNarcOjjq6Tw7GMen6aWkRlis+aVFOQ/Un5vh8dGKBvepoDIyPMdXRQbGlhrqODAyMj9E1P1w4Rj5BA0WhCiEuBrwDbpZR/W6tdpNFos6j47+OohLJVKJmKQSKV3U8kGg2UrtPnPw+vvQZf/Sps2QJ///fwnvfAyy+rNqVotADHwkWj6ZOqaLRt6JnPSuRQN8T9wTdlhCCHWvfw5FH+q3HUKq4d5WcZJdxqoxu9lVUXMBPi+2Pmpe5uumf9d2imq4vLZ2rvUKPRaIHybKSUrwNfBzYE+VxoLJBYMMrN9XWd6Oxcapv1Y+HQQyfnoxyLfQmRYEJGxhZTX0ToTDRB2oXFd2UjhLgMKEgpXxdCrAKeBO6RUv5xrc9EsrKZRd1EF+u0aUNVsEy4sFi9X6g1fzV/uBWee06FPg8MwLEyuY2HH1aBAjt2wL33wh4iPxZu5bOEjbLsNc+Pbn4ILPkSbDLxRLmyyaMmlHomxdUED/02sfqKiapjeaP+50WYvMv+fuTUVCQrm8uBp4UQ08A3UT6bmhNNZFgisWCM9iIMDqow52MVuk533KHCou+9FzrJ/rFw6KPrf2kjFb6Ehki7jEyT4ZvUKaWcBt4VQ1+Woyux8Kfe/xH7cIxzP8Dz6nFb5ZvngQPwXu/pFvTlJjZH2EeHfQzj77PJAVuxNjoqMoLIyNjis2pi7NVGC5JiknW/he6xeMNoLxw2kPKcj0ixuLqoYyX2Tjar/JtcIEaZ7ETQPRYuYjr7pDznI1LSWF20ibF3slkPtAb8TFb9FjrHotVr58g+ac750DV167RLuYxMs2HvZDNIuMnGsEx2Iugci1avncMshkrr5md72HZwPx1bXqdlY9G/TEBaS5PPsKSiXO9RLd2jUurmAfx9Ns1iUkwB9qo+dwE7UKaxIvrS3Qn4LeqFzvqFGGuF3dY7Fq3eYweBAiQaCfdt2rDpk6w8B6Vcp2Ooc7BO/+suHMdJlEO/vExAKVfkEPaFLydFkAm9vMSC7RNwBUmG4jdyL/PD3pUNqAv3blQVPl2y6rcoPxblFQmv9V4PcJNzhMBUad20lxy2lUZMilGa+myg079JoHYhsXdlU6JUhQ/UL8h6K5ys+y1Kx8KFN8dPkFynIOcnSK6IC9/Vp5FjlQIJmkDcn3QHFHavbMpxfgtHOVGWQtbBVGld3VyR+zC7fw6HYdIz2ZT8Fm2snHRavdcD+i0cKcWEHpYfpnKdguSAmNw/h8Mw6ZlswPktHMn5OEzlOgXJAXE+HEeKicdnE2WZgAT9Ft3bXmJ2zr+EYFfnDDP3X279dlJJUj6O9ZjxGerIz1TifDjZJqayKnFjfmWTIWl8nQkgSLukt5NKguhhRYkpn6GO/EwlJvbPYQUbJiczc7+sJFDxNF0ulBjISJmApUYBvrCRwxpgO/IR++TxaxFJfo6uxL5A6ZlGyIbJSSaGhsgVCrQVyma88lynEKbcyZMbGNo3QaGYo1Bs0/tQC/q5Z1khxdL/lVTNZ0nR/bIcI8XTAuOk8R1Ro2v4Dbpa0KBaad0ofIYD644yfXcfI9ceQPsu2Yx6X1nLf6kk4/dLMyubtwk59U6W5P/9WIWyWyeIW9mYx/cY65T3bUPPv5Gj/i/ERvvhEXW297aD+xl7emv9FY5tpZ7jJuoy0AlQddxsQS/qsdr9chtKssiPTpbybiLyDSW7svkeysaoi5PGd+iGM+s60n9ouB+GGB3cQ67VZyebWe8r4fNjlEbC63UmmvJ2CfjSzUw2kmD25KxKzDj0CBLOvFbzO3Xbhe2HIXq7TjGxY8iVEKiGBefHKHGVEjElveRD8nk2WZeYcfgTJJzZpKy8JWWGB9YdTW8JAZNYcn6MEVcpkYR8Q3ZMNk5iprkJEs6sEypckncpl6PXiRJPKqy6GnGVEIhb9qcRbDo/JohLksuU9JIPZgIEhJBTfo0aDBeNkwuObQsDBGptJ0mZ8qC0bCwidX73lMJ9J1HmknJJfh38zoluWHVWwo5rHcdyeX6bVlGWnR8j11i1Mhbgf7/cGH1XEKgJ3gc7Qp/rkUaJmbhCL7Me4lnB6otPazb0/pZXqoySZioznEb/RzOcnzgkuRIqMx//ZNMKfAAlN5O2m2UjVQZt3I4lvP2yF9D6yfr2sv9LZqYoaaYyw2n0fzTL+SlJco2hVhZjRHu/TKjMfDKTjfPROMr41os/hZbt8G8Nd0THH5SVsOM0+j+a6fyYJKFyLWYmG4ErA+AIQPJxKoBaLVewd6EAACAASURBVH3cp83HyUbYsW5pgyAlEEzTi/IjubDwxkioXIuZq/wKXBkAR/rIA/f4tLkHu/wYYUmr/6PcX+fCwpcIWvo5gXItZkoM5HDli5OgTMajZb5I+6p5htePMzq4h96uU0n3zn6aqUSzTmkDW/0fJX9d2s9BlHgSNH6SUMsi6GIu12KJ/cLRMBUyHpIW5s92Mvb0Vvrummby5IaEO5gC0ujHCIvzfzhixmyJAUc0svp+5FETzZk6bVajzAyePdumPByxMcAxqmwaZe6TRXkcJs/PhTEZcZ6NqT7Hcg1VwaZrpJykjkdN+vuRU1MW59k4oiONYaxREWVOUlr9GGFx/g9HjLjJJgs0k/mnkihzkkzlcXSzXDqn1iOJwqtxyeI4mh432WSBNIax2ogpP4auem7EKrsOh024ySYLNJv5xxQuj8PhMIabbLJAymU8ujo1dXfiSAZ2fgyHwwhm8mwc8TIKHMI/Z8KWMNaKErYzXF69XVkJ2xUROFGWBq71XX8d4rsc4UoUOzKPm2wM00j4pHaIY8n84xfGWnbjrPfdxkM+g5awZXmfJk9uYGjfBIVijkKxTb1YKg18iGAhu9XCf8N+VwTEEW5r4/mth19/GwkFtjW8OYs4M1pWaBLzT362h6F9E5xZXLM00ZQIKo2fRpl9hyOlGF3ZdG97idk5/3jOrs4ZZu6vYUpx6NMEMh67j+yiUPRxUOlKyjSTPI3DPprM3Gh0ZaMz0QRp53CMHx9euaKpRDenqJnzkxzJE7G50XacGc2RKhbOrtVsGFGbIO0cDkdN3GTjSBXtq+Y1G0bUJki7WmiGbGuHgDscKcRFo2WVKEODLWJ4/ThjT2+tb0rTzSmKS2a/xhwSeSRUk/kAImEWOAIcB86iarqsR1WptKnI40Hs61NA3Momi1SUG0CyFM7b572fUkYH95Br9XG06OYUZU1mv8l8AI2yYXIS7gKeRk00eH+fRr1+MqmeVcHGPgXEyMrmxJuuRtw6BRv1P1OKlXdx70uEORb52R767prmzOKalW+WckmGWFZuIE30dp1iYsfQyjwbqJlTVPvLCJyf5MgGPfk8E0NDsFjlzaL32IeqWmnDaqKsTz135jnVm75B6VY2GSNQaHBSBC1hW8HAuqNM393HyLUH6Fg1R4sohs8papL8pFhp8PzGwa7du8kVfFbIRZSJzSaKsHNvOmuFGCmeJvr7JVNToQpbuZVNY3RseZ35sxpXcQcXzCk9+Ty7du9meHyctQsLtFwio7dbG/YnWFdQSoPIx3oASwKPRLvpJAlz7l/v6KBzXiPYZBXK/GyCIOerjLmODi6ds8gWqlk8zQUIZIygocEbJieZGBoiVyjQVvqlV7JbHwN2AOsi6JjzJzgsYu2CZjz7G2b7EYZ23b5bhlkz2psjbufwJUhocMluvebMmaWJpkQRZc/eh6uz4sgc8+2a8eyXmO1HGBZ0+24ZZiebD6IX7fOrRnvRVAyvHyfXWs3rWYYXzptau7XD0SDjw8Ms5nxuTq0oc7JNtMLhTZbWCvHBrM+mAxVy2wCx66alPFehbjRaidXANLz+rhjt1ob9CZH7bLrRW9F1oVdyugrOZxMNYc59Tz7PdF8fa86cqd2ojfrRaI3m6ITx2bRB77eftysazQqfTQSmxdm5bu3BFMnFm3LfQr3Q4FzrIrnWAhMfGWLgmaP6PwQstFtXUu/ch5qIXClnazAR/HGqt5ehiQkmbxxcCisu0eo9dlB70jiJMjGXf9aEr7NKn/LPvAOeqd7M5kAZXzOaEOJtQoinhRDPCSG+JYTYof3t6TQtpp5qocEdq+YYufYA03f3MbDuqGq4SvMLLbRbOxyNcnRgQK1crkVdC8L7ey3q9VqTxSxqollk+SQF5nydfn1KATormx8Co1LKvxZCrAVOCCGeklJ+2/eTOnIgDiP0dp1i/+bt7N+8vXaj9ahfYpUXTDk22q0d1fkAeufz2ni6kwq6gM3eQ5cj1D/GsOTrDPK99YjqexLEd2UjpXxJSvnX3v/zwHPAFVrfriMH4kiOQdTNpx6tXjuH/bjzGQ/H0ZtsjsfQlxQRKBpNCPF24F1UsRgKIUaEEFNCiCleeUW9WJIDWY2bdGykC2VbbmPlTarVe72e3dphF+58xsNZ/yZAKnydcaI92Qgh2oE/Aj4mpfxB5ftSygNSyn4pZT+XXbb0Ri05EIcdrCOc3TooKZAwyQRxnc9mJipfZ5NdE1rRaEKIHGqieURK+XjgrVQrV2xSlSbl4cuhqQzFLP26LVI/LDOM3TooWTrOthPH+WxmovJ1Ntk14TvZCCEE8HngOSnlHvNdCs8F5eiNmjOZpeHLoagWill+MUQYllkvvNJGbTu/PiUVLpq242gSm0N2VzCIuo78JhtDvrFUHasydMxo61Hlo94vhDjpPZyL0SbqhWKW4yRoHI7Gcb6xUPiubKSU38CE0asL/QztOOlE3wRnCzqhmOVEHZaZRWwdnw47KPnGSmbrN1A+GhurfFpCcqrPtpZbT6MdVScUs5xSWKabbBxZJ67y6Om0bMWKKzGQBXRDMctxYZn1cXI16WeSlVVYS+XRD6HSMsISt1xNBnCVOrOAbihmOU6CxpFl8qiJ5gwrFUwK3utDSrg2MEnI1WQAN9lkgfX4Z46X4yRoHFlnN/4yWQXYe2Rn8O8OIlfjuICbbLKAjkxJOU6yxJF1xtGabA4fD1EbxsnVhMKIz+bq104wFTJPIK0x5IlSCsWstCFXoiOd3iAudyQa/K6DyEsqaHxvI8R+XWuWN1l4I4Q0vZOrCUUmVzYzXZp3UpvClxulUqYEliYXJ1niaDY055D2S0IU3XKlOUKRyWi0y2dWxlUn9qu60Wp+QagnU1Lqx2/E0A+H/dSoRCoqYnhjr5QbFTrlTXKwaf3h4N/tSnOEIpMrG2s4CdyFGpilpXcpPPIu7/1m6ofDHjQjpWbnus32wxQ65U1ysHNwb/DvdqUcQuEmG1PYEh5pSz8cjjipV94k570+oYoMBsbJ1YTCTTamsCU80pZ+pA3dG4W7odhLrfImI97rAw18tyvlEJh0+mxq2JtX0EVysjhBwiNNysbY0o+0YauckiMY1cqbREVGSzm81N1N96z/DXamq6uqf7wW6ZxsQkiJNBJKGgpbwiMN9CNs2K2NIblpJc5Q4iynI9gYqp/08daZaErt5BcF/a/pfa8zo5nClvBIW/rhcDiaGjfZmEJHQiaO8Ehb+uFwOJqadJrRgrANLXnx/GwPu4/sYvz4MAtn19K+ap7h9ePc+8wOLprX0O+vLDGdcDU/6/rhcDiamuyvbMZQsuKSJXnxPpT8eIlJ6LtrmrGntzJ/thNJC/NnOxl7eqveRAMrC67ZEh5pSz8cDkdTk/2VTTV58QJKfnzae20IziyuWfnRYltj27almp8t/XDYg6tE6oiZ7E82tSgAe4Hz+KvDNoIt4ZG29MNhBy602xEzzT3ZHEaZ10xONlESp85alsjCcatX3pg670VZ+tjhaAAhZfQx3aK/XzI1Ffn3Lm0gou9pQU02dQ6BDLKxRxrtUB2qlaGF5WUDLMhaTjpHoJINk5NM3jgY+rhZsT/VyhuDkl0peV0rV+g57zFBY5nyGcfG/K2kx5wU+sdESAn9/cipKd8PpTNAIKpfo+1oS5EnitM3C0VPPs/E0FC6j5tfeeNz3qNO6WPyhvvoyBS6JVq0S7l4pHOymWFpRVLt8R/QUnxlE8rc4Nc2KWaBg8B/Rt0Y6+H0zVawa/ducgUfG6ktxy2PCtMv1/DaBvxXGjPzlnyTDocml8/MIKT0fQSRqoG0TjZ+aMqLs1OzbRKUlwXQib52ZWhXMDw+TpvOZJP0cZtEheNXC9N/hMYnmxAlWxyOqMnmZKMpL06vRtskqGc2q4crQ7uMtQuaVRiTPG5+ZrIoCFGM0uGImmxONhBMXrxO25k3J1BiWqcsQDWcvtky5ts1HXJJHrfdmI+GTINf0pF5zIQ+n0NbJsYoQeTFa7S9fL+/XTJQRItOGK5OWYBK0qJvVi+EN+KxMT48zNaxsfqmtKDHLer+j2N2sin5JtNGjOOkIbaxUj2kFh8gXeH2EWMm9Lm1X9I61TShmNqTjW748sYQnWhDqQQkPJDrhm3WC+E1MDZ68nmm+/pYc+ZM7UY+x23Z/pjofyn83hSrUat2m27QfkR4nI2HNge5VtMUbh+EREOfq2XlN3soZpDwZd2yAJAefTM/34SBsXGqt5ehiYlodOFM9T+IiauaT/Fi7+Hnm0wLCYyT2EhLuL0h4vfZNGsoZpDyzDplAfDapKUMrY5vwsDYODowEE35XlP91wm9z3ntqvkfv+U9TJQ+ToKExkms2BJuHzNmzGiiX0IdBYEO9O2cKUBrqb4FvaqZq4BPocKe6+XWWGI2q/RBza1dy/jwMHtGRznVW/aTugMVzuuHgbHRiCnlgknDVP/zqLDnOpa+VJrCwhLxcbbKjFbOKlRoexWcGS1KmjEUM0h55rSUBSjPBfL2r3N+nq1jY0z39bFhsqyOg+45t3VsmOp/L/BxnzYfpzkmGkj/ONGlCdMUkplsmjEUM2h55lJZgEbNP6ao44NqKxRYc+YME0ND9OQ947ruObd1bJjqfx64x6fNPaTTRxGGtI8TXZowTSH+ycZkKGYtyQ+dC7WRz+oQpjxzqSzAGCoEdMx7nvSKBrR8ULlCgZ17PeO6rm/C1jBdU/1vBh9FENI+TnSII02hG/UD1e/RbbgfZSQz2ew08L31JD8qK3NG+VldBtGbbNJSnlkjF6itUGDTYU8rJYiEkI2Y6r9Onk0zSc6kfZzoEMd1rhvtFmNUnJmkzhbUAa0VIx+1/bk8XLKSysqcldtu5LMe9Rx6FxyUJT+MX56NDasWHTR9UJ3zP7hwDMSE9M+fMOCb8HO4ajmRS7JGUfe/SXwUQRz1kx/ZwNC+CQrF3PJquTWOs41lAqpSdp2LnSkLAogAMyubnyTeUMxGTBFxmjFs98MEIagPCoJJCNmIif43i48iAAPrjjJ9dx8j1x6gY9Wc3eMkiExVGq/zCIm3eFo3+nXPg6hXNxIuaTgkNzW/uoJyEH9F6lIekFeK2mhIZwPyJvXOkfEw1G0oc229Hzw51I1WR3bJUiIJP/f7bl3pmE7g/tDdiQTj4yrI4W60K1aGPpuyIzZiimgSM0bk2OSDisPnZopm8FHEhe6PwQzl+KWJbKg+N2KKcGaMcNiSC5R2eZMg5TAcjhSTjcmmkXDJZgi1NIUNPqgshA6n3ZflcGhgJhotbkaBQ/jbvauZIhr5bNzolCcI07YRSrlAmyP8ziDohg4fAL6AvXL1QcphOMwQ1zXTpGRjsvFMEatvPL0iXDLXukiutcCZiTXVbyymQlqjplp5grMoJ/0xlsuWB2mbdnR9aeXntuTPOYQ6txbi51C3UT/LVDBMLEE2EV8zNp6fWlxITTDc52yY0QAGWBYu2SKKdKyaY+TaA0zf3VffFGG7GSNIeYIgbbNAWF9amT8nP9sTYYccqSOL14zmSqyrM0jYb2NkY2Xj0dt1iv2bt7N/8/YQH8ZeM0aQ8gSl/3XaJmX6ipJh/EOH61GAvUd2hhszjmwQ5PpKyzVTYw5JMhUjOyubLKNTJrrotQvSNm1U06+bo7GfTAU4fDym6A/T+ntpYhaVq7UFJdN/B0rd+g7v+Rbv/ThWE1m+Zhoh4vHqJps0EKQ8QZC2aaJWLs1jqMqw1apVarLwRgxx7WnOBYqaKqUpOAe86P2FJX/JXV57k2T1mmkEA+M13slGN6LDRX4sJ4g0TBgZGdvxy6U5hwq7/hDLf4VpTj7tlxjO2E17LlCU1POPVBLUX6IrHVPZLovXTCMYGq/x+mzi80Vli/X4S8OAujAvB/4R9Wu/FnFInEeJTi5NEbiU5dnhmlIwm9YbllQOkgtko88wSnT8I5Xo+kvCStDoXF9pu2bq0L3tJWbnqtQWCFJ1NMR4dWa0NKAjDQPqYvGbaCBdpQwgvAy/phTMzkHDGZ+ujMASOv6RSkz7S2ySXoqBqhNNUEKM11RFozUSSZHGvIUL1CtPUEn5RNNS8TzhUgahz0FY/TrNHKre75/S3EBIDOjvmRIPNR6tpOsfqcSkvyRl5T8aFjUNsoKpR0Drs+/KRgjxkBDiZSHE34btkyMCyqVhdFY5LcD/TvpLGUBj+nU25FA5/b0ldP0jlZj2l9ggvZQ2Ao5XnZXNwyjL3BeC98YRKSVpmJKcRj3OA/+E8lnEiQnJD51cmnr6dUFzqMr2oTjcwnx7O+PDw+wZHeVUbwgpiUb7nyV0/Y/l+PlLohpzSUsvpYkQ49V3ZSOlPAa8Fq5HDiPYGqpZLaQ1ihDWOGX4K/ahRUo65+fZOjbGdF8fGyZDxHy6MgJL6Pofy6nnLzE15hz1CTFeIwsQEEKMCCGmhBBTvPJKVF/rqIaNoZomJT/ikuGvsw9thQJrzpxhYmiInnzAmE9XRmCJeqUpKvErVZFFmRnbiHC8RjbZSCkPSCn7pZT9XHZZVF/rqMZ69C7UOEM1g0rqBCUO34vGPuQKBXbuDRG9ZoPvyBaq+UcuAd6KSs7V9ZeYHnOOSMdrqqLRHB6DKCVav7yAOEM1g0h+hLWJm9av09iHtkKBTYcPs31/iE7YrL8XN1H4R+IYc5rkZ3vYfWQX48eHWTi7Fn4N+8pYhCHC8ZqqyUa7FnkITIWSGumzjaGaEfiRTJ0DbTT3oX0hGsWBVEvy20DCvssLY3IS2Er9MhYBVgINhzYbola/+jU9+jqhz18C/gL4CSHEi0KIfx+gfw5T2BaqaaMfKSia+7DQ3gwxyinAhjGXRimihGTDfFc2Usp/F+0mHZFhU6hmFiQ/NPZhMZfj8KZmiFFOATaMuTRKESUkG5YqM1osbGO5vhYgN65cPs50dXH5jBN7u4CNfqSgaOxDIZdj7846MZ951A1onGAlqCtzRS4GLgNeQQmNuhLFK7FhzAWRIrJlskkIp41WyZx/E4DuWRdPuYx6Ia1+Iay2UGcfFnM5Tq9ezdDERO3EzrCy7LZJ7qcFG8acASmirOImG0d02OZHCkPFPhRbWpjr6ODAyAh909McHajh6Q1ruzcpud8MJD3mnBSRNukxo3Xje4EJJF2dM8zcf3ksXXJUwSY/UljK9uGiWzV1VcLa7k1K7jcLSY45J0WkTXpWNpq/5CKRz3Y4ghK2jICNkvsOfZwUkTbpWdlYSCnu3FQeTtPkS2iQVIkI7e2Gtd3bKLmfMpI696X3Jz+ygaF9ExSKOQrFtgvv51oXybUWmPjIEAPPHIVnoulXUvvbKOlZ2TgcNhPWdm+r5L5Dm4F1R5m+u4+Raw/QsWqOFlGkY9UcI9ceYPruPgbWHU26i1bQvCubWrLkDkcVIimlW812b0JyP01USTWoSif6ZZ/Dhp83QG/XKfZv3s7+zdvNbCADNOfKpp4sucNRhdJEc9VV8MEPrny/rQ0+8QloqXdFVbPdRy25nzY0Uw2024UNP3cYp/lWNuWhppUEddQ6morWVvjKV+CKK2BhAUqlbVpa4NFH4aab4Nw52PN/UbME9Ypf1kFKfltYotgqysPPKynplg2hVIvTLI6ZUppvZRMm1LQanRF8hyNVFItw550gJUxMwDXXqNcfekhNNMePwwMPEFyWvVquyMUoyf1LSGe+UhIECT93xE7zrWx0Q01XEX9J5WbBhJ0+Jp56Cm69Fb78ZXjiCTh6FG65BZ59Fq6/Hs6eJZwse5S5IiZKc6cBJx1jNUYmm6tfO8FUxGF0gojC/QzIkidVnqAREg2rjtpOT7zlCR5/HLZuhYMH1UTz/PNw3XUwF6C/xjjJSpNcyR95DGWCy+rKyEnH+JLkdZ8aM1pXp57opW87G2TJHamno2Pp/4svhktsGC/NXibZScdYTWrMaJFJ0NggS+6wm2pmqDJuvx327oVXX4WvfhW2bFHmtfe8B15+OfbeLhGkTHIWpW6cdEy0RGyOTc3KJjJ0Qk2zFFrqCEatsHiPm2+GBx9U0WgbNihz2n33wZVXwpNPQmeSgSNByiRnEScdEx310kNCKo8332Rjgyy5w058FJhbW+HTn4bFRbjhBjhxQr3+0Y/CoUMqB+e222LsbyW6/siwEjm204sKL1/Nykkn571eLfzcsRxD5tjmm2wgeVlyh53UMUN1MUOxCIODKsz52LHl799xhwqLvvfLxntZG93k0KBJpCbRXQnqthtAhZkHDT93LBHEHBuA1PhsIqeRUNNmDS3NGC91d2sXwZvB8xk+D3wPeEQ9LUW6nQcOAHwu4k5mHROh7b2ECz93KIKYYwPcP5t3sglLM4eWZozQ1VZtVVzWTVY+b7QXjrRjID0E3GQTDD+pm6L3/t1Yv8JpptIGke9PWZhznPk9vqxC70ZhQ5h2ADKbb1aDRvY3kv0xNI6a02cTFkO2zKYjajt9nNgcFr8evUhLW/vvsAND48itbIJgyJbZdAS109skb1ME/tR7JNWHWgyiTLl+OWT1wvqdP9IRxTiqglvZBMGQLdPhgwF5G2Mk2YdGw/oN5FY4Uoih9BA32QTBSd04bCdsWH+zS904lmMgPcSZ0YLgpG4caSBMWH+zS904VhKlEjlusgmGIVumw5E4zh9pFpt8YQn5QI1MNifedDXi1qmq79kYaqhNvaqKNaoo+u1v7OGxGvj1Kew5NPW9jghw/sgVRDZea+TmLf55jsL/m2NoYoKjA/rSBg1fJwn5QJ3PJihO6iY7pDkEO2qcP9IMdXxhbYUCa86cYWJoiJ58PoHOxYubbMJQsmWOoaoDjnnPXWhoMPKoJb2nYdWx5XW2HdxPfrYnnu3fj5Kd2QN8gKUbbqkk88Xe82pJvFnD5eispGJ80uE9DzIvaPjCcoUCO/dmv1a1m2wcyTAJ9KEm6nlAwvzZTsae3krfXdNMntwQTz+qhfueA170/kJ2VZLLcaU3ljF5csOK8cm897wPNX510PCFtRUKbDp8OHRf04KbbBzxkweGgDOsKHRVKLZxZnENQ/smzK9wfEoKNBWu9MYF8rM9DO2bqDo+KaBeH0JvfGr+UGlfyH6tajfZOOJnN/WrKQKFYo69R7wqV6Z8KzrhvkFJs3/H+SMB2H1kF4WiTxW2Akvjsx6avrCF9uzXqjYb+tzNiiQwwcoIj67OmejKPtuATWGONjKOxmTTxuHjm9i/ebs5+RedcN9qrEKZU7JIxLkVaWT8+DCFYlv9RgWWxmc9NHLzFnM5Dm/Kfq1qsysbzWzj2bluo92IFSf54Y+mxWDhDcO/9sL6Ypoo/LcZWTi7Vq+dzvjU8IUVcjn27sx+rWprkjpLMe2pzrUIUYLAKol6TRruVzvK2erD+bWtZseFrpR6JRGF/zZTmQc/khrrVbf7awQen/XY8M5JJoaGyBUKtBWWlvSLuRyFnMqzOdWb/VrVzmcTJa4EgR7DrKwRX0kOMG1Z0An3raTZwn+bkYjH59GBAfqmpzkwMsJcRwfFlhbmOjo4MDJC3/R0oITOSEgov0xIGf0vCtHfL5maUg5GXbxuBPpFZ5tvZAt6v5Q1bf7iZ6Vypo+jTE/tqAthFFX61kby+Pc5jwofPVPne1ajasZ7n5FfFNGf71mUaTNIHk0b2sXxGjl/bmWTICHGZ5zYNjb6fxOmTknfTqV3ZWOjbyRCyY/I4vzjpEruTNU+9wITqAu28hdkznt9guUXsonzXS/ct5KA4b+pPH8ORZjx6fAlnZONrXLoEUl+6Mb5B8pkNk2d3JmqfR5A/TIcYXmG9oj3eplloSefN3e+q4X7lhQELiFU+G8qz59jOQHGp0MPawIEAmGrHHpEJQh04/zZC+wP0kGDaOTOrOhzr/e/zz7s2r3b7PmOONw3lefPsRLN8enQI50rmyBy6HESkeSHbpw/NilcaOTOhO3z8Pi4nee7Bqk6f7PAQZS/caP39yCuSFo1otBKa2KMrGyufu0EU18UVRM4/dAKB41ZDj2I81InzLE8+qSas083zl83XyUWdPsSos9rdaU8LMl/Sc35s0363mYmUabPAks/qko+uEMoH05EprWsHkejK5uuzhnNhgG/2GI59CjCHNtXaQT5g4pusgXdvoTo87yulIcl8vepOH9O+l6foP5IR1WMTjYz91+OfEQseyBZ+dCcky5guRz6qd5etu/fz6Vzc1xULHLp3Bzb9+/XTtwaXj9OrtUnHjeOPJQgGMydGR8eNnu+IzYlpeL8Oel7fYL4Ix01SafPJuNy6KODe8i1+ozuHGCTwsUoepNNiD7vGR01d74NhFSn4vw56Xt9DPojm4l0TjYZl0Pv7TrFxI6hdMX5G8xNONXba+Z8GwqhT8X5c9L3+hj0RzYT6ZxsIPNy6APrjqYvzt9kboKJ821QXsj68+ek7/Ux6I9sJtKZZ1MiivyIYfALmpMbBcWWFi4qxlxhK41x/ib7HLX8fZAQ+jDbtPn8Oel7hY680jAq6qyeKS1pH1wK+P/bu58Qq8owjuPfn6NRWYOBEkNKWkQgLVIHIQSJ/iEm1aJFRms3FUaLqDbRImglbSKQ0TCyJDQhIvoDFdaicsYMMy3UDAeLmeh/Gyl/Lc6ZHMcZ75k/73nvnPt8NnPv5cyc5507w3PP+z7neWfvlc1MqVjV3HX2bNo4Qv1qLqFvK9H6vnp7pYTrkZ2k0pWNpHUUs9ddQJ/t56d6wlY15Be7p6XV/S6p69Mn+vnTaSI4nTbzbdW8cDaqusVAhpLq5H/rI+ueY++zYeqt72fVlgmjy5nHGrmX5n7ONdvczYX32UCRZOYx6TW4tvt9VDDh+7ult9L3t7yykdQFvEgxy7wc2ChpeeUIQ2hXbV5Cn9w462BZW9/XabLlzNErbdqqXNmsBo7ZPgEgaRdwL/BNysBCSG49sI/WvexmaQl9JWPWwRY8+HvOaOozmXLmSfbyC+OrsmZzxezZhwAAA85JREFUDXBq1PPB8rXzSNokqV9S/3DFG6hDyKrhJfThIqKcuXZVks14k4sXTN7Z3mq713bvooqtoULIruEl9GECUc5cuyrTaIPAklHPFwOn04QTQgYzXVId2l+UM9euypXNfuAGScskXQI8ALyVNqwQQkgoyplrJ7t1+ayk9cALFDPZ220/1+L4YeCH8ulC4OdpxpnMKlhV9dgBGKhwWFuPd4bFWJurA8Z7VTcsux6Yc/5qgcsWwd8fh1//yBRcSjP93l5re1Grgyolm+mQ1G+7WiF2A3TSeGOszdVJ4+2ksUK+8UYHgRBCCMlFsgkhhJBcHclmaw3naCedNN4Ya3N10ng7aayQabzJ12xCCCGEmEYLIYSQXCSbEEIIySVNNpLWSfpW0jFJT6Y8V26StksakvR17lhSk7RE0keSjkg6LGlz7phSkXSppC8kfVWO9dncMaUmqUvSl5Lezh1LapJOSjok6aCk/tzxpCRpgaTdko6W/7u31Hr+VGs25dYE3wF3UrS82Q9stN3IbtGS1lK07XvF9k2540lJUg/QY/uApCspbna9r4nvrSQB823/JWke8Cmw2fZnmUNLRtLjQC/QbXtD7nhSknQS6LXd8BtYQdIO4BPbfWU3mMtt/1bX+VNe2fy/NYHtM8DI1gSNZHsf8EvuOOpg+0fbB8rHfwJHGKcTeBO4MNL7d2SrrMZW1UhaDNxN0TksNISkbmAtsA3A9pk6Ew2kTTaVtiYIs5ukpcAK4PO8kaRTTisdBIaAD2w3dqwUbameADplH3QD70sakLQpdzAJXQcMAy+XU6R9kubXGUDKZFNpa4Iwe0m6AtgDPGa7iT2kALD9r+2bKTqer5bUyGlSSRuAIdtVegA2xRrbKyn22ny4nA5vornASuAl2yuAv4Fa19FTJpvYmqDByvWLPcBO22/mjqcO5bTDx8C6zKGksga4p1zH2AXcJunVvCGlZft0+XUI2Esx/d9Eg8DgqKvy3RTJpzYpk01sTdBQ5aL5NuCI7S2540lJ0iJJC8rHlwF3AEfzRpWG7adsL7a9lOL/9UPbD2UOKxlJ88sCF8oppbuARlaT2v4JOCXpxvKl24FaC3qqbJ42Jbb/kfQI8B7ntiY4nOp8uUl6HbgVWChpEHjG9ra8USWzhmJbqUPlWgbA07bfyRhTKj3AjrK6cg7whu3GlwR3iKuBvcVnJ+YCr9l+N29IST0K7Cw//J+g5u0Co11NCCGE5KKDQAghhOQi2YQQQkgukk0IIYTkItmEEEJILpJNCCGE5CLZhBBCSC6STQghhOT+A2aEC+SKYMWdAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "plt.figure(figsize=(7, 7))\n", + "heatmap(mesh_predict_result_ad)\n", + "scatter_data(train_for_pred, test_for_pred, train_result, test_result ,yshift=-0.084)\n", + "plt.show()\n", + "\n", + "# 赤がA、青がBのラベル。●が訓練データで、■がテストデータ" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "snbkqWui3Tv3" + }, + "source": [ + "# showing that kernel is not periodic for π" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "LLyi5vrl3GFo" + }, + "outputs": [], + "source": [ + "\n", + "%%time\n", + "\n", + "training_dataset_size=10\n", + "testing_dataset_size=5\n", + "aqua_globals.random_seed = seed\n", + "sample_Total, training_input_unnormalized, test_input_unnormalized, class_labels = ad_hoc_data(\n", + " training_size=training_dataset_size, \n", + " test_size=testing_dataset_size, \n", + " n=feature_dim, gap=0.3, plot_data=True\n", + ")\n", + "\n", + "# Breast_cancerと同じスケール(-1, 1)でプロットするためにdatasetを規格化\n", + "(train_for_pred, _), _ = split_dataset_to_data_and_labels(training_input_unnormalized)\n", + "(test_for_pred, _), _ = split_dataset_to_data_and_labels(test_input_unnormalized)\n", + "dataset_array = np.vstack([train_for_pred, test_for_pred])\n", + "min_array, max_array = dataset_array.min(), dataset_array.max()\n", + "# training_input_normalized = {k:v-np.pi*2 for k,v in training_input_unnormalized.items()}\n", + "# test_input_normalized = {k:v-np.pi*2 for k,v in test_input_unnormalized.items()} \n", + "training_input_normalized = {k:v for k,v in training_input_unnormalized.items()}\n", + "test_input_normalized = {k:v for k,v in test_input_unnormalized.items()} \n", + "\n", + "# %%time\n", + "backend = BasicAer.get_backend('qasm_simulator')\n", + "feature_map = ZZFeatureMap(feature_dim, reps=2)\n", + "svm = QSVM(feature_map, training_input_normalized, test_input_normalized, None)# the data for prediction can be fed later.\n", + "svm.random_seed = seed\n", + "quantum_instance = QuantumInstance(backend, shots=shots, seed_simulator=seed, seed_transpiler=seed)\n", + "result = svm.run(quantum_instance)\n", + "\n", + "# %%time\n", + "train_result = svm.predict(train_for_pred)\n", + "test_result = svm.predict(test_for_pred)\n", + "\n", + "# モデル評価\n", + "eval_input = [\"A\" if x == 0 else \"B\" for x in test_result]\n", + "eval_model(eval_input)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "uo5-QV5NWL-I" + }, + "source": [ + "# Depth vs Model Performance & Depth vs Time" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "i4ezX-rhMGB0" + }, + "outputs": [], + "source": [ + "# サンプル取得(ad_hoc_dataを使用)\n", + "aqua_globals. random_seed = seed\n", + "sample_Total, training_input_unnormalized, test_input_unnormalized, class_labels = ad_hoc_data(\n", + " training_size=training_dataset_size, \n", + " test_size=testing_dataset_size, \n", + " n=feature_dim, gap=0.3, plot_data=False\n", + ")\n", + "\n", + "# 規格化\n", + "(train_for_pred, _), _ = split_dataset_to_data_and_labels(training_input_unnormalized)\n", + "(test_for_pred, _), _ = split_dataset_to_data_and_labels(test_input_unnormalized)\n", + "dataset_array = np.vstack([train_for_pred, test_for_pred])\n", + "min_array, max_array = dataset_array.min(), dataset_array.max()\n", + "training_input_normalized = {k: (v-min_array)/(max_array-min_array)*2-1 for k, v in training_input_unnormalized.items()}\n", + "test_input_normalized = {k: (v-min_array)/(max_array-min_array)*2-1 for k, v in test_input_unnormalized.items()}\n", + "\n", + "# 計算実行\n", + "dict_result = {}\n", + "for depth in range(1, 11):\n", + " start_time = time.time()\n", + " backend = BasicAer.get_backend('qasm_simulator')\n", + " feature_map_depth = ZZFeatureMap(feature_dim, reps=depth)\n", + " svm_depth = QSVM(feature_map_depth, training_input_normalized, test_input_normalized, test_for_pred)\n", + " svm_depth.random_seed = seed\n", + " quantum_instance = QuantumInstance(backend, shots=shots, seed_simulator=seed, seed_transpiler=seed)\n", + " result_depth = svm_depth.run(quantum_instance)\n", + " eval_metrics_dict = eval_model(result_depth[\"predicted_classes\"], print_mode=False)\n", + " print(\"depth: \", depth)\n", + " eval_metrics_dict_print = {k: round(v, 2) for k, v in eval_metrics_dict.items()}\n", + " print(eval_metrics_dict_print)\n", + " print(\"--- %s seconds ---\" % (round(time.time() - start_time)))\n", + " dict_result[depth] = {\"evaluation\": eval_metrics_dict,\n", + " \"time\": time.time() - start_time,\n", + " \"result\": result_depth}\n", + " \n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "6oBWakWOMr6F" + }, + "outputs": [], + "source": [ + "records = [{**value[\"evaluation\"], **{\"time\": value[\"time\"]}} for value in dict_result.values()]\n", + "df = pd.DataFrame(records,index=range(1,11))\n", + "df" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "HsCW1gdPM2ba" + }, + "outputs": [], + "source": [ + "plt.figure(figsize=(10,6))\n", + "for col in df.columns:\n", + " if col == \"time\": continue\n", + " plt.plot(df[col],linestyle='-', marker='o',label=col)\n", + "\n", + "plt.axis('auto')\n", + "plt.ylim(0,1) \n", + "plt.xticks(range(1,11))\n", + "plt.rcParams[\"legend.edgecolor\"] = 'black'\n", + "plt.ylabel(\"Model Performance Metrics\",fontsize=18)\n", + "plt.xlabel(\"Circuit Depth\",fontsize=18)\n", + "plt.legend(bbox_to_anchor=(1, 0), loc='lower right', borderaxespad=0, fontsize=11)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "l8kwArd8M7_h" + }, + "outputs": [], + "source": [ + "\n", + "plt.figure(figsize=(10,6))\n", + "plt.plot(df[\"time\"],linestyle='-', marker='o')\n", + "plt.xticks(range(1,11))\n", + "plt.ylabel(\"Calclulation Time\",fontsize=18)\n", + "plt.xlabel(\"Circuit Depth\",fontsize=18)\n", + "plt.ylim(0,100)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "jJkprFj7NP8r" + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "R2hMAPANNVhl" + }, + "source": [ + "# Appendix" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "7dwxGUstM_NA" + }, + "outputs": [], + "source": [ + "# Appendix " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "qHGSV1u-WL-I" + }, + "outputs": [], + "source": [ + "# # jupyter上で回すとBrokenProcessPoolエラーが発生することがあるため、Terminalで実行。\n", + "\n", + "# # shotsやseedをjupyter上で変更する場合は注意\n", + "# code_string_depth = '''\n", + "# import os\n", + "# import time\n", + "# import pickle\n", + "# import numpy as np\n", + "# from qiskit import BasicAer\n", + "# from qiskit.aqua.algorithms import QSVM\n", + "# from qiskit.aqua import QuantumInstance\n", + "# from qiskit.aqua import aqua_globals\n", + "# from qiskit.circuit.library import ZZFeatureMap\n", + "# from qiskit.ml.datasets import ad_hoc_data\n", + "# from qiskit.aqua.utils import split_dataset_to_data_and_labels\n", + "\n", + "# # サンプリング設定\n", + "# feature_dim = 2 # 特徴量の数\n", + "# training_dataset_size = 20\n", + "# testing_dataset_size = 10\n", + "# shots = 1024\n", + "# seed = 10598\n", + "\n", + "\n", + "# # モデル評価\n", + "# def eval_model(pred_label, print_mode=True):\n", + "# test_label = [\"A\"]*testing_dataset_size + [\"B\"]*testing_dataset_size\n", + " \n", + "# accuracy = sum([x == y for x, y in zip(pred_label, test_label)])/len(test_label)\n", + "# precision = \\\n", + "# sum([x == y for x, y in zip(pred_label, test_label) if x == \"A\"])/sum([x == \"A\" for x in pred_label])\n", + "# recall = \\\n", + "# sum([x == y for x, y in zip(pred_label, test_label) if y == \"A\"])/sum([y == \"A\" for y in test_label])\n", + "# specificity = \\\n", + "# sum([x == y for x, y in zip(pred_label, test_label) if y == \"B\"])/sum([y == \"B\" for y in test_label])\n", + "# f1 = 2*recall*precision/(recall + precision)\n", + "# eval_dict = {\"accuracy\": accuracy, \"precision\": precision, \"recall\": recall, \"specificity\": specificity, \"F1-measure\":f1}\n", + "# if print_mode:\n", + "# print(\"result: \", pred_label)\n", + "# print(\"truth : \", test_label)\n", + "# print(eval_dict)\n", + "# else:\n", + "# return eval_dict\n", + "\n", + "\n", + "# # サンプル取得(ad_hoc_dataを使用)\n", + "# aqua_globals. random_seed = seed\n", + "# sample_Total, training_input_unnormalized, test_input_unnormalized, class_labels = ad_hoc_data(\n", + "# training_size=training_dataset_size, \n", + "# test_size=testing_dataset_size, \n", + "# n=feature_dim, gap=0.3, plot_data=False\n", + "# )\n", + "\n", + "# # 規格化\n", + "# (train_for_pred, _), _ = split_dataset_to_data_and_labels(training_input_unnormalized)\n", + "# (test_for_pred, _), _ = split_dataset_to_data_and_labels(test_input_unnormalized)\n", + "# dataset_array = np.vstack([train_for_pred, test_for_pred])\n", + "# min_array, max_array = dataset_array.min(), dataset_array.max()\n", + "# training_input_normalized = {k: (v-min_array)/(max_array-min_array)*2-1 for k, v in training_input_unnormalized.items()}\n", + "# test_input_normalized = {k: (v-min_array)/(max_array-min_array)*2-1 for k, v in test_input_unnormalized.items()}\n", + "\n", + "# # 計算実行\n", + "# dict_result = {}\n", + "# for depth in range(1, 11):\n", + "# start_time = time.time()\n", + "# backend = BasicAer.get_backend('qasm_simulator')\n", + "# feature_map_depth = ZZFeatureMap(feature_dim, reps=depth)\n", + "# svm_depth = QSVM(feature_map_depth, training_input_normalized, test_input_normalized, test_for_pred)\n", + "# svm_depth.random_seed = seed\n", + "# quantum_instance = QuantumInstance(backend, shots=shots, seed_simulator=seed, seed_transpiler=seed)\n", + "# result_depth = svm_depth.run(quantum_instance)\n", + "# eval_metrics_dict = eval_model(result_depth[\"predicted_classes\"], print_mode=False)\n", + "# print(\"depth: \", depth)\n", + "# eval_metrics_dict_print = {k: round(v, 2) for k, v in eval_metrics_dict.items()}\n", + "# print(eval_metrics_dict_print)\n", + "# print(\"--- %s seconds ---\" % (round(time.time() - start_time)))\n", + "# dict_result[depth] = {\"evaluation\": eval_metrics_dict,\n", + "# \"time\": time.time() - start_time,\n", + "# \"result\": result_depth}\n", + " \n", + "# dir = os.path.dirname(os.path.abspath(__file__))\n", + "# with open(dir+\"/../output/depth_variator_output.pkl\", \"wb\") as f:\n", + "# pickle.dump(dict_result, f)\n", + "\n", + "# '''\n", + "\n", + "# with open(\"qsvm_terminal/script/depth_variator.py\", \"w\") as f:\n", + "# f.write(code_string_depth)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "X9Og-QmcWL-M", + "scrolled": true + }, + "outputs": [], + "source": [ + "cmd = [\"python\", \"qsvm_terminal/script/depth_variator.py\"]\n", + "\n", + "proc = subprocess.Popen(cmd, stdout = subprocess.PIPE, stderr = subprocess.STDOUT)\n", + "\n", + "\n", + "for line in iter(proc.stdout.readline,b''):\n", + " print(line.rstrip().decode(\"utf8\"))\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "1F2BeQLaWL-Q" + }, + "outputs": [], + "source": [ + "with open(\"qsvm_terminal/output/depth_variator_output.pkl\", \"rb\") as f:\n", + " result_dict = pickle.load(f)\n", + "\n", + "records = [{**value[\"evaluation\"], **{\"time\": value[\"time\"]}} for value in result_dict.values()]\n", + "df = pd.DataFrame(records,index=range(1,11))\n", + "df" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "fstd7nwsWL-U" + }, + "outputs": [], + "source": [ + "plt.figure(figsize=(10,6))\n", + "for col in df.columns:\n", + " if col == \"time\": continue\n", + " plt.plot(df[col],linestyle='-', marker='o',label=col)\n", + "\n", + "plt.axis('auto')\n", + "plt.ylim(0,1) \n", + "plt.xticks(range(1,11))\n", + "plt.rcParams[\"legend.edgecolor\"] = 'black'\n", + "plt.ylabel(\"Model Performance Metrics\",fontsize=18)\n", + "plt.xlabel(\"Circuit Depth\",fontsize=18)\n", + "plt.legend(bbox_to_anchor=(1, 0), loc='lower right', borderaxespad=0, fontsize=11)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "_Qi5qsjAWL-X" + }, + "outputs": [], + "source": [ + "plt.figure(figsize=(10,6))\n", + "plt.plot(df[\"time\"],linestyle='-', marker='o')\n", + "plt.xticks(range(1,11))\n", + "plt.ylabel(\"Calclulation Time\",fontsize=18)\n", + "plt.xlabel(\"Circuit Depth\",fontsize=18)\n", + "plt.ylim(0,400)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "P6nkR60_WL-j" + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "sYU_LStVWL-o" + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "QXLWM-xfNNNF" + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Zt-H-WZIQyDy" + }, + "outputs": [], + "source": [ + "%%time\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "from qiskit import BasicAer\n", + "from qiskit.circuit.library import ZZFeatureMap\n", + "from qiskit.aqua import QuantumInstance, aqua_globals\n", + "from qiskit.aqua.algorithms import QSVM\n", + "from qiskit.aqua.utils import split_dataset_to_data_and_labels, map_label_to_class_name\n", + "\n", + "seed = 1099\n", + "aqua_globals.random_seed = seed\n", + "\n", + "from qiskit.ml.datasets import ad_hoc_data, sample_ad_hoc_data\n", + "\n", + "for i in tqdm(list(range(1,10))):\n", + " feature_dim = 2\n", + " sample_total, training_input, test_input, class_labels = ad_hoc_data(\n", + " training_size=20*i,\n", + " test_size=20,\n", + " n=feature_dim,\n", + " gap=0.3,\n", + " plot_data=False\n", + " )\n", + "\n", + "\n", + " feature_map = ZZFeatureMap(feature_dimension=feature_dim, reps=2, entanglement='linear')\n", + " qsvm = QSVM(feature_map, training_input, test_input, None)\n", + "\n", + " backend = BasicAer.get_backend('qasm_simulator')\n", + " quantum_instance = QuantumInstance(backend, shots=1024, seed_simulator=seed, seed_transpiler=seed)\n", + "\n", + " result = qsvm.run(quantum_instance)\n", + "\n", + " print(f'In {20*i} training dataset, Testing success ratio: {result[\"testing_accuracy\"]}')\n", + "# print()\n", + "# print('Prediction from datapoints set:')\n", + "# print(f' ground truth: {map_label_to_class_name(datapoints[1], qsvm.label_to_class)}')\n", + "# print(f' prediction: {result[\"predicted_classes\"]}')\n", + "# predicted_labels = result[\"predicted_labels\"]\n", + "# print(f' success rate: 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