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March 4, 2016 13:50
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# 微分処理のテスト2 - 2次元でテスト" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## sift.pyをインポート" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 17, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "/Users/noguchi_osamu/PycharmProjects/mps_20160220/noguchi\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "%cd ~/PycharmProjects/mps_20160220/noguchi" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 18, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "SHIFT.ipynb\r\n", | |
| "\u001b[34m__pycache__\u001b[m\u001b[m/\r\n", | |
| "\u001b[34mimg\u001b[m\u001b[m/\r\n", | |
| "sift.py\r\n", | |
| "【sift.pyのテスト1】微分処理のテスト.ipynb\r\n", | |
| "【sift.pyのテスト2】微分処理のテスト(2次元でテスト).ipynb\r\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "%ls" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 19, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "from PIL import Image\n", | |
| "import numpy as np\n", | |
| "from scipy.ndimage.filters import gaussian_filter\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "from mpl_toolkits.mplot3d import Axes3D\n", | |
| "from collections import OrderedDict" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 20, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<module 'sift' from '/Users/noguchi_osamu/PycharmProjects/mps_20160220/noguchi/sift.py'>" | |
| ] | |
| }, | |
| "execution_count": 20, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "import sys\n", | |
| "#del sys.modules['sift']\n", | |
| "import sift\n", | |
| "sys.modules['sift']" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## パラメータを設定" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 21, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "sigma=0.32\n", | |
| "#sigma = 1.6\n", | |
| "s= 3\n", | |
| "xmax = 100\n", | |
| "ymax = 100\n", | |
| "k = np.power(2.0, 1.0/s)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## テスト用の条件を設定\n", | |
| "### テスト用の関数を設定" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 22, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "def test(x, y, sigma):\n", | |
| " # 2次関数\n", | |
| " #return (0.1 * (x - xmax/2)) ** 2 # 1変数の2次関数\n", | |
| " #return (0.1 * (x - xmax/2)) ** 2 + (0.1 * (y - ymax/2))**2 # 2変数の2次関数\n", | |
| " # 3次関数\n", | |
| " #return (0.1 * (x- xmax/2) **3) * sigma # 1変数の3次関数\n", | |
| " return (((0.1 * (x- xmax/2)) **3 + (0.1 * (y-ymax/2)) ** 3)) * sigma * 0.01 # 3次関数(クロス項なし)\n", | |
| " #return (((0.1 * (x- xmax/2)) **3 + (0.1 * (y-ymax/2)) **3) * 0.1 * (x-xmax/2) * (y-ymax/2)) * sigma # 3次関数(クロス項あり)\n", | |
| " #return np.sin(x / 25) + np.cos(y / 25) # sin, cos (クロス項なし)\n", | |
| " #sin/cos\n", | |
| " #return np.sin(x / 25) + np.cos(y / 25) + np.sin(x/25 * y/25) # sin, cos (クロス項あり)\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### テスト用の刻み幅を設定" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 23, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "def delta(i):\n", | |
| " #return sigma * np.power(k,i)\n", | |
| " return i * sigma" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## テスト用のoctaveを作成 " | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 24, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "-0.3946208\n", | |
| "-0.3946208000000001\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "x = np.arange(0, xmax)\n", | |
| "y = np.arange(0, ymax)\n", | |
| "\n", | |
| "octave = OrderedDict()\n", | |
| "for i in range(1, s + 3):\n", | |
| " scale = delta(i)\n", | |
| " #v = [[[_y, _x] for _x in np.arange(0, xmax)] for _y in np.arange(0, ymax)] # -- debug\n", | |
| " octave[scale] = np.array([[test(_x, _y, scale) for _x in x] for _y in y])\n", | |
| "\n", | |
| "#--- debug\n", | |
| "print(octave[0.32][10,11])\n", | |
| "print(test(11,10, 0.32))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## プロットしてみる" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 25, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "%matplotlib inline" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 26, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x10ab0e4e0>" | |
| ] | |
| }, | |
| "execution_count": 26, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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xY8ZsrrvuZpJJzaxZZ/V4Y9Xa2lpyDV8kEuGaa67h4IMPzpQzTJo0ieuvvx4hBNOnT+ec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\n0opcrNlShdCum/H9QiAiVFZWErg2BKG07Yl4QkpcnOnatWtod25tEV/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yedeAMWdizBE4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\nQbtCbHUKBAKBoF0hAp9AIBAI2hX/B2e0q+cIlbMYAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x10afae160>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "si = 0.32\n", | |
| "\n", | |
| "x = np.arange(0, xmax)\n", | |
| "y = np.arange(0, ymax)\n", | |
| "X, Y = np.meshgrid(x,y)\n", | |
| "\n", | |
| "fig = plt.figure()\n", | |
| "ax = Axes3D(fig)\n", | |
| "ax.plot_surface(X,Y,octave[si][Y,X]) # Y,Xとなっているところに注意!\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## ダミーの変数を用いてExtremaSpaceを作成" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 27, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "dog_space = list(octave)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 28, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "ex = sift.ExtremaSpace(dog_space)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## 微分(1階・2階)を実行" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### 1. 試しに2階微分を計算してみる" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 29, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "array([[ -1.88160000e-03, 0.00000000e+00, 7.05700000e-02],\n", | |
| " [ 0.00000000e+00, -1.88160000e-03, 7.05700000e-02],\n", | |
| " [ 7.05700000e-02, 7.05700000e-02, 1.38777878e-15]])" | |
| ] | |
| }, | |
| "execution_count": 29, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "sis = list(octave.keys())\n", | |
| "\n", | |
| "d2x = ex.d2fdx2(1, 1, sis[1], sis[1]-sis[0], sis[2]-sis[1], octave)\n", | |
| "d2x" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### 2. 1階微分をプロットしてみる" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 30, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x10c159f60>" | |
| ] | |
| }, | |
| "execution_count": 30, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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OHTtaTPE6tHDhs7CevMPhcA3Bsxrd1iWZCp/Wmvnz59Ov31BOOeUivv56f9PC\n60XNj2Y3pNyJdP0l7clByv4uk1zc19cZrcgySRypiVLDcSeaXTBKG5zWLxaaiUDz0+zXiYqKnXjl\nlVccHT1VfVi8dRiLxSo7AjVn69Cjbvn9998588zzOOKII/j886MJBD4DRibs9QxSCqrH9hZTULCW\niRP/7mjcU6LweRZfM8L64MLhMGB0ba9PwYs/b6qbVJXgDeHUUyfzzTfd8fsnYi94VRjTCL5wdU1K\nDUHrrRg1ck7XDkXrLa7WGmUGzrM7qxpJp+uskoiVrPKZ4zMqNcJ8n6knr/v9g7jjjvvqRIgSrUMr\n66+goCBp95CmWiztkR6nFp9SiqeffobevYfw2mvPI8TuwDXUbEEYAaah1LXxZ6OwcBq33HJN5QNW\npuOerNfKysrYsWMHO3bscCR8b731Ft27d2e//fbjrrvust3n4osvplu3bvTr14/PP69+j1BKMWDA\nAMaPH5/xOZ3QogvYLZem5eJsqEkJyYRPa82LL77IVVdNw++X+P0jge5k/vzRC6XmAj8Aezu8ql2Q\ncjeUeh8Y63LtuxiF8k7ohVLzMHpidnO00hDNBSg12uE5+5hF6V9j/H0zZWez+H4+cHyK/bqyffuH\nvPvuu4we7fTa0mNZh4ldMtIVS/t8vmoF003d7VfXNAdXpxOWL1/OBRdcyebN2fj9rwBHo/WDSfZ+\nAilzUOqCuNfeoX37Xzj55JrNGawHrvj7oeViV0oRCoXQWvPRRx8xceJE2rVrR6dOnfjuu+/o3bs3\nBxxwAH369LG9EqUUF110Ee+99x677747gwcP5thjj6V796rf4vz589mwYQPr1q1j6dKlnH/++dVm\nX86YMYOePXtSWlrq5E+WMS3a4svKyqKwsJCioqIGbbWTKHxaa+bOnUvfvoOZNOk6fv75Z/z+Y4Ce\nOPsIspFyAEK4mZJuWYxOR/hYa0cgpdPm02D0xByMlO+7WJtZtmVNsszMUKfWIih1kFl8nypGGMPv\n34nJk6c4Pn5tSFUsbTebznKXetZh0yETcd6+fTsTJ17EUUedwjffTMbvX4IQy8xQh90DWQi4HqVu\nintNUVg4jdtvvzbjh33rgcvaPzc3l6OOOootW7Zw0kknccwxx1BQUMCcOXO4+OKLkx5n2bJldOvW\njS5dupCdnc2ECROYM2dOtX3mzJnD6aefDsDQoUMpKSlh2zYjvr5582bmzZvH2WefndF1u6FFW3zW\nTQIarodbvKc2AAAgAElEQVRm/LkswZs69Ua2bi3F7x8BdEfKN9B6AVqf5vjYRpLLIxhfdqeTILqj\n1H+BrzBE1wn7m2vXYCTdZI7Wg9G6GCgBnMQJjGxLIT5EqV4uzrkYo/PMLg5WdgGKMFysf0rYpoAv\ngAVImcWvv2pWrFjBgAEDHF1bXSOEqNZGC6qe3q2YYbJWWpaVmIml1NIsqqZGNBrlkUce47bb7qGi\n4lQikbUYv5cgWt+K1v+wXSfEPxCiDUqdFffqK3TuLPjzn491fT3WZ+3z+QiFQpx88skpJzpYbNmy\nhT333LPyv/fYYw+WLVuWcp/OnTuzZcsWOnbsyGWXXcY999xTOeatPmjRFl/8j7ShpybMnTuXPn0G\ncsYZl7FuXR/8/rOwLDwj3vYjborKDXecm7ZeULvpCUZ9nc+3yMXa9kjZldqVNjhtndYGKfsgxFyH\n6wRaj0qIS2rgW4SYZSb5HI5SNxCJHMptt93j8PgNQ7raMKuVVksqxG8OwpzsGhcvXsyAAQdx661v\n4fd/SCRyP9ZDohCPIGU74CSbI5aj9c0oFf89rKCg4DruvfcmV3+PxhxJNHfuXDp27Ei/fv3qNbu5\nRVt88TRU8+g333yTq6++nm3b/GYMb39qPl/sjhDt0HoRRsGpMwyX5XyUchpvM4RE6yU4t76MyQux\n2EcY9XV/cLTWKDN4Dq1jZD4bEIxsyz5oPQ+tz3B8TqPpdRBwMk6lhxnn+xQjm/YttP4VrUcA47A+\nT62HsmjRnaxfv56uXbs6urbGIl1sJxaLEY1GK7saxVuHTbnMormydetWDjtsDL/9FiUUmoHhyowX\nnQBa34LWs23XC/EAQuyCUifEvfoEvXrtyahRo1xdk53wlZSU0KFDh4zWd+7cmU2bqkqnNm/eTOfO\nnWvs8+OPP9bY55VXXuGNN95g3rx5BINBysrKOP3003nmmWdcvZdktGiLL576FD6tNW+88Qa9ew/g\nzDOn8N13/cwszR4k+xNrPRyfz01RORguyyiGy9IpRfh8XXE+vw5qU19nTFBoAzi3GJUablrITofB\n7oqUewLpShQSkcBADKv6WZTaHa1vAo6m+ueZSzQ6jLvumu7w+E2L+FKLVJl/0WiUWCzmlVrUAktU\nwuEwd989ne7du7N16yZCoaXACVQXPRDiYaTsAJxoc7QdaH0XSsUnvPjJz7+Ve+65sdbXGI+TcobB\ngwezfv16Nm7cSCQS4YUXXqiRnTl+/PhKMSsuLqZ9+/Z07NiR22+/nU2bNvHdd9/xwgsvcNhhh9W5\n6EELF776dnXGYjFeeeUVevcewN//fgUbNvQzXZo9SPwC16Q3sVg57orKLZelm5o+a37dBpxPT6hN\nfZ1A6wNddoHpiJSdcSPWSh2MEN+QeUF7CVL+B6NNWwXwV+BkjK4YNYlGRzJnzhy2bt3q+NqaOnal\nFj6fr0YhflOZS9ccXJ0ACxYs4IADhjN9+nKEGIQQY4A9bPb0o/WtKHW37XGkvB0p9wKOrHzN53uA\ngw8eVudx51gslnGTap/Px8yZMxkzZgy9evViwoQJ9OjRg9mzZ/Poo48CMG7cOPbZZx+6du3Keeed\nx8MPP1yn15sOkeaL2ewf4yyXTSBg1GYVFBTU+phKKd544w2mTJnKli2bMdwT3UkvdtWRch5a/w+t\nz0q/cw1KgRnAZMCp710jxINoPQA4yPGZhXgYrbsBTlP5K4B7geNwVmYAsB4hXkXrK3H2vKYRYhZa\n9wQOS7FfACk/QqnlCLEHWp+KEMsRYiVKXZXyDDk5b3L66fsxfbr9DcoJ0WiUioqKJjnp2rLu8vJq\nJlUlllpYbtP40oz6LrUIhULVEtqaGt9//z0XXngVK1ZsIBCYgVHe0xf4FjvhE+IuhHgUpTbYHO0n\noCuGV2Ko+dov5OX1pLj4Pfbdd1/X15n4OWutGTduHIsWLWoWDxZxJL3YFm3xxWPFKGqDUorXX3+d\nXr36M3Hi1WzZMgxjYGoQp6JnHM8qKnfqwoPauSzdz68DTMtttYuV2UjprswA/ojxt3Y68UGg9SEp\n3msEIT7CGOGyEZiM1hcDO6H1gWZizQ8pzxCJHMi//vVvfv3VaW/R5kUqiypZqUUmbdpaeqlFIBDg\nxhtvZejQw/jkk0MIBNYA45DyJoQYjr21V4rWt6PU/bbHlPIGhOhDlehBTs7/MWHCCbUSPbD/nJuL\nNZ0pLV74rA+rNq5OpRT/+c9/6NmzHxMnXs333w/E7/870B0hhuPzuRm/A0aGZifcNp82XJbf4cZl\nCQeYPTh/cLHWbX2dUY6h1HacZ2laHVmWpd+1Bj1RSgPL416LYSSvTEeIVcBZZkf7PeP2KUDKEabr\nMxXt0bovM2bMdHFtLZdM27QlttFyGztsajdnrTWvvz6H3r2H8MgjPxAKfU4sNhXjAe47lPoPWj9p\nu1aI6ea9wa5zyQaU+jdaPx332nqysp7nhhuuttm/9u+jpdHihc/CjfAppXjttdfo2bMfZ589lR9+\nGGQK3v5YFp7W/YnF3Izfsc4xHCm/drXWqDnLx83YIPfz66BqmoGbGGMbfL5eGfTEtOMAlAoBTgvp\nfcDBSLkE4yFhDUI8gJSLgD+bbZ72t12p1CiU+h/pmleHw4fw6KOPs2PHDofX1vpINXWgpRTif/75\n5/zpT8dy/vl3sn370wSDLxJv2Ul5I4a11sVm9W9ofS9KzbI9tpRXIsQI4r+z+fnXcMklk9h5551r\nfe2JDxB+v5/CwsJaH7cp4QmfDUopXn31VXr06Ms550wzBe9M4gWvikKk7I47lyO4H7wKVS5L530p\nwerB+RNQ7nit+/o6iMVGovUmnLt4sxFiBD6fmy4w/VGqDJiBEHPR+iCz00W6gtz2Zrecl9Ps9weU\n6sHMmQ0bpG9JJLMOrSGtyZosN6XM0tLSUs4+exIHH3wwn346hkBgJTVLljag1KtAMmvvbqTcBzjc\nZutylHoHrf8d99oS8vOXccklF9bJe2jpQ2ihFQifE1dnvOCde+61bNw4JIXgxa8bihBuJpVD1eBV\nN4XhAH3NkUM/uFjbwfyBuSlPKETK3i4tt45IuTtuHha0Hkws9jvgJItyK1L+y/z/EbS+mZpdWZKj\n1J/McorfU+4XCo1i1qxH6q2/YGskk0J8yzq0CvKtUouGtA611jz33PP06jWIl176l9lMeipQM9Gm\nytrbx+ZI29D6IZR6xO4sSHkxcCywa+VrhYVTuOOO6+skcc96L/G0tMkM0AqEzyKd8C1dupTu3Q/g\n3HOvixO8/cgsaWVPjFE4blyORmG4EfdKfWO1J8e0SNzFCavm17kpbRhhWm5uJj4chBBrXZy3wByx\nlIng/oqULwBPotQfMG5EFTgTTTBisb0R4qU0++2KUvvxj3/Y3bQ86hLLXRpvHQohyMnJqczqTDWC\npy7FcNWqVYwceQSXX/4YJSXPY8R8kzWT3oBSr5HM2pPyZrNWNnHkEMDbaP0VRlMGixfp1CnCSSfZ\ndXVxT0uexQetQPgytfi+/vprfvlF4fefQeaCV3kW3E8qB2iLlPvjzvKKd1n6XazeB6PnpxvRtiy3\nd1ys7er6vIbgbsXoPmNHGVK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kLy+v2jSC5pxIs337ds4+ezJjx57M119fRCDwMRB/o34O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dv2wBRLnhlYOwB5ov8shf00AS5GqcdxXbT9IYT05pYDFzlizHv52E+2I8/WwBGRToXwAjL6MQr4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\nUdGdVHzPD9R05huO8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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x10ab74ba8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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oSvMOt7re4Vps+3mk/BClmjoY0zYZGMkp7zDpNsObDUkKsRLH+Uuj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BAAAg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\nCTA5EMpBz7x3zVUw7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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x10ab606a0>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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y8rx4Y1dXF1prWlpa6Orqyvkev/baaxx//CksXfohnZ2XAX3FFv6GMW8B11dw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\nEUMJrBvOMz28DTaGteYasdm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TwFxsvVWhIxrsGJjHgP0wZi8qs5heQ6mrsckWJ1HeXL98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\nEAQhoJClTkEQBCGgkMQnCIIgBBT/D7zllC/1nimuAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x10afa2e48>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "sis = list(octave.keys())\n", | |
| "\n", | |
| "x = np.arange(1, xmax-1)\n", | |
| "y = np.arange(1, ymax-1)\n", | |
| "X, Y = np.meshgrid(x,y)\n", | |
| "\n", | |
| "# x方向の微分をプロット\n", | |
| "fig = plt.figure()\n", | |
| "ax = Axes3D(fig)\n", | |
| "ax.plot_surface(X,Y,ex.dx(Y, X, sis[1], sis[2]-sis[1], octave)[0,0]) # Y,Xとなっているところに注意!\n", | |
| "\n", | |
| "# y方向の微分をプロット\n", | |
| "fig = plt.figure()\n", | |
| "ax = Axes3D(fig)\n", | |
| "ax.plot_surface(X,Y,ex.dx(Y, X, sis[1], sis[2]-sis[1], octave)[1,0]) # 同上\n", | |
| "\n", | |
| "# z方向の微分をプロット\n", | |
| "fig = plt.figure()\n", | |
| "ax = Axes3D(fig)\n", | |
| "ax.plot_surface(X,Y,ex.dx(Y, X, sis[1], sis[2]-sis[1], octave)[2,0]) # 同上" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### 3. 2階微分をプロットしてみる" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 31, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x10c1a3d68>" | |
| ] | |
| }, | |
| "execution_count": 31, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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U66ou9zkvRHyRSMTomDIa4BKfDbC6EWVF7LQrsdA1mcs2vF6vLQk01cCsmFBv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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x10c43ce10>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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0VPjcc8/x5JNPcs0115Sy6Z2BYJxhZyAX4ZkIz5i/hkKhkiIqm6nObMIz+/GL\n2Vaqe9T/Okxt89xzf0AyOZv+7+oddCp0T2BKr+jBddu87sMVSPkESoWAWoT4M0qZZosmSm+2AHgA\n7b4+s4w1esM0tNgf0L4PGAFMs7xupaLeOoR4A6W+iJTmxkIC23Fd43/YhpRPotR9CFHtqx/6MwC5\njrplSLkD+5Ev6PTpKMtdwxpC3IsQX0bKUiPJv7L//oJTTun7BjBXqnN3UG2BgPgqgnxu50opotEo\nsViMqqoqGhoaitb5s73PXIRnMFADtf7mmQULFvDKKytIpc4uY8UazAyVzgZLHOd6pDwQpUaTMYs1\nh6VpthiCNoudSGFmsVuAN1HqzAIeWwxWe12nthtaNgFvo5TtOpn0xjjmYNMmSuNh9AiA/8bCQdcO\nhwPNWfXDLV79UN/0uO7rmAxApn44GpiAEI+h1BfR3ao2YdKn37O8LsCHKLUBpa4r8fkd1NX9G3/8\n4/8rukNzx44dn3hxaoOA+CzCEInruj0EX7MJr7GxsWzCKyfi8xNefxGnuU4lSNDMLSaTyfR1fvzj\nn9HdfQx2v5qPedHeEWjlkUl5mi024Dgf47ovo8WezWzaCDLNNJk7Xse5C93Qsq/FvRoZtU9XoKHl\nLmAWUvYnWF0sHkKTk02bKNBehq9782+FHNIZWTGlpmVlADb56ofvI+XTKBXCcZ5AzwaOwKTEdURc\nOjKNQzZHcMza81HqMpQq7TsXDl/JnDmf4+CDD+73sbkivmK7J3dVBMRnAf4ILxqNIoSgvr4e43Ye\ni8UIh8MMGTKkIBeCQlAK8WUT3s6KOM37ZRRowuEwkUiEf/3Xy+nq2gctj2ULHcAr9NZeNPA3W0z3\nHZbdXjPNRkKhDSj1MlI+AlR5zRYCKbcBh6Cd1m3NlT3tNbTYVGgBWIqU7YBdnz1NTpXQJTVE3YyU\n+5W5Ug1aZWY/LwNgzIFPQcoQJl2q1KtI+TjgEArVI2WDVz8ci84CFCJKUMn06XNI6QA/KfH571NV\n9d9cc80L/T4y19myY8eOdOPJJx0B8ZWBXOavjuMgpaS7u5t4PG6d8AyKIb5yCM/22ISZTzQKNKlU\nCsdxeOedd/jP//y/xGLlpDh7Q4g7EGIyUo4r8pn1GIWNnt5425FyPTAPIfZFj0fcn6MVv4ncUl59\nIYYQL2BfRs1FiMdR6kvYTuvpWmSrBXLKxjvejYfNRiQNTaitSDnR+43/M1b0rB9uQMqnUGqer37Y\ngK4fHoD6Apb+AAAgAElEQVSuIZrPyq1g+jSJEEtQ6q8lr11f/2MuvvgCRo0aVfBzghpfgDTyuZ2b\ntF0qlaKmpqYihFcMbER4togvm/CMAo1Rgj/77O+TSBxO8XN5feEtlGrzxhdswNSWnvYGqc/yfpfw\nteJvoGcrvpk93At9UDaRL3LQCh9jKtAQMQ/t3We3i1O/vxtR6lTL60oc50GU+jxK2eta1uiPUAW6\nqWoYMNlHiG66fmhqxK77BpkO4npcN4ZSKXSq1J7ggsZ9CDHNG7IvBY/T0LCcH/3ozwU9Old5I984\nwycRAfEVgXzmrybCSyQShEKhdOqukuiLkHaVlCb0FNX2E54f99xzDytWrELKM/OsUgokjvMQSn3B\n8uG5BViBUt8lc7BV0zOVBhkpr8zsoZTPeNGhv/NQN1pACO1SbruhxczW+fdrAxLHeRiljqoAOS1E\nqRBKFTeU3D8MoR5Zwp5DwN7ez1QfISZQahOu+yHaGHckSt2GFlwwNeLh6CzAJEqrH24CPkTKxZTW\nlJSivv4i5s79t/TZkG0+m42A+ALkJTzXdYnFYiQSCWpqahg6dCipVIq4Vp6tKHIRXyUIr9SIz094\nffkEdnR08JOfXEZX1wkUZ3nTHx5GqRrsup8bhZaZSNlfusgv5TUxR+TQRk/ngyR6Nu3vuO5wdF3J\nRqPFXcCMAvZbLB5DqSrr7y90Ay97UbrtbMmTKOWgVOEq/v2jGhiN4zyCTp9+1fu9qRFv8rIAryHl\nQkDgOPUo1YBSe5GZP8xPxI4zDzgdKUuz5BLiv2hp2ZOvfvWr6YYy13XTdmemROP/Mb/3IyC+QYC+\nvPCM+WsymUwTnmkNHigpMf8+gbTySyXGJIp5PX4n+Lq6un6NcX/xi/8gHj8ALX5sC9uB14roBiwU\ny7wGkaPKWCMTOWQ6D58BlgBf9zkfLEs3WuiDstGbPTyAwo1il3uzdaeXsd9c6KTvhqHSodO945By\nvNV1tcPFErRmpm1Cfd+r+/r1ODM14p5ZgHafoPeGdBYAqgmF6r0swEgy9cN3vGaZK0vc21Zqan7F\njTfen7Pskst81n/mRaNRHn300fQscq7u70qY0N5111384he/YOXKlbz00kvMmqVnOFetWpU29YWM\nmkuxCIgvC4USXm1tLfX19b1mYQaK+AyZmK5RW2MS+a7TH4olPIDly5dz223/IBY718ZW03CcO9Gy\nTfnU8EtBCiEe9RpE7CngZxpa/gl99z8u66DcnpUufRSl7kaIWt/s4X7o6HBfMkTvIsQj3mydzf2a\nhpaJJTQM9YfV9O8wXxqMDVWmocUeHOd+L33anx5nT9FpfxYAtmY11KxAqU70ES2AU9EqLXO8/xb2\nd15TcwXf+MaJTJmSW9jbnG3Z51gikcB1Xaqqqmhra+Oxxx5j2bJlDBs2jMmTJzN16lROOeUUjjvu\nOC644IIeRrInnnhiLxPa999/n3fffZfFixfzve99L21Cm++506ZN49577+W8887rteeJEyeydOnS\ngl5/PgTE5yHbCw8yXwr/oV5bW9un+etAEJ9JaYJuGqkE4Rn093qybwYKITzAu8M7n3j8COx611XK\nCHYe+sCaYXVVfSDvh1KTc/0rmUYL/6B20qsrmejwQ6RcBKR8zTQx73OzrfzyAUqtQ6kLLa9rBLk/\njZS202lr0IIA51teF3T6VJWZPg0Be3k/fgWi+Wij4CO8tPj/4Lr/Bz1j2ogQ++C6U9CjL8cC2aMG\nb1BVdQe/+lVvf7tC4DgO4XCYc889l3POOYdjjz2WBQsW8NZbb/HGG29QX19fMRPayZP130Ous8fG\n+TroiS+f+Wsuwiv0UK8U8fnFrI2mZyQS2Smdo9mEV6wT/F//+jc++GAr2lvN2q4QYr4X5dgk003o\nDsa+xJdLwRqvoaXYAzmMju729UWHkGmm+QBYjBBDUep6eqbRjA1QPhmvvqGjmyNQymb3LcDzaD88\n2/OLxrH9UOw7tscRYjFaj9P2UdoNLENHegfQU9C7O50udZxVwCKk/BkAjrMHSo1GqRnU1r7J5Zf/\nlBEjyqsT+9HY2Mjs2bOZPVvXdu++++6Km9Bm46OPPmLWrFkMHTqUX//613zmM58p+nUMWuLri/CM\n23l/jRm5UImIL5vwTITX3t5e8egy+/UUku7tD1u2bOGSSy6jq+sb2K3BPYhuErCrIJJRPBlped17\nUOpwiwdyA9DgqZFMQ8oT6Z1GW9dDxkunS4eha6yT0FFHPpjo5rA+HlMKEgjxLJXxw1vkOTt81vK6\nAHcjxL4VGD8xmYADkPKAHP9aT+60+I40IQrxKNXVKc4556ySrp/d1ZlMJq05tJRzZu27776sXr2a\nYcOGsXTpUk466SRWrFhRtFj/oCO+vtzOTYQnpSya8AzM423IfOUjvOzHVBrmPcvuYC3VjfmnP72M\nRKIZHX3YwhbgDezrZlZK8eRZL8Ip/m61b6xAyk1kUr350mjZQt5vIuVTADhOxOs63JvM7KECFqHd\nImwfG5Xyw0shxNNUxrG9DZ1i7l2DKh9rKN58WKBnNYcCB1BX9xp/+9ufSyarbBPa9vb2nDqdlTSh\nzYVwOMywYVrKb9asWUyYMIF33nkn3fxSKAYN8fXndh6LxXoNV5cCG5qWhRCerWsVgkQiQSwWK5vw\nABYvXsy99z5APF6JhpYZlnUzU57iyXHYVeKIIcTzaJdymxGORIiHgWNQqr9Ub7aQN2SiBn8zjXZN\n1zcTIeBF4GN0Z+l+lH+TUUk/PONEYduxvdJ6nPei1GEoVZpWayi0mNmzZ3DUUaV3H2ffUOcjvkqZ\n0Obby+bNmxk+fDiO4/DBBx/w3nvvMX588R3Auz3xGV1I0/noJzzjCABQW1tbFuH5Uaqws9+uqJAu\nzUo20kgpiUajxONxQqFQ2YQHOqI+5ZTTiEZHo/UtbXUbLkPK7fQ05bSB+xBiGErZtfARwqTIcjW0\nlIP5QC1KHVTi8/1Rg7/r8CPgf4FjEGILjrMa111CzyHtPcnMHhbenFI5J/gtaCcK23VZ0FmAHcDn\nLK8LsMRLzZaaCeggHF7M9dc/XfZO/OdXPmeGSpnQ3nfffVx44YVs3ryZL3/5y8ycOZP58+fzzDPP\ncMUVV1BdXY3jOPzpT38qabZwtzaiNcLRruvS0dHBsGHD0hGeIbxC3M6Lxfbt22lsbCy46SSb8Iwh\nbX/IZeJaLoywdjwe73EjUF9fvt3MH/5wA5ddNhelQt58WRWOE0FKvx3Q/hQ3Z5VCG8HOwa4nXhvw\n38DZaM1NW1gD/BU4Hy1/Zgs7gBvQM3s2xzjAcf6AUtNQKjvd203GBHgDSq1Dm8QaIW/jiXcAWp0m\nO7pdCjwKXIRtbcvKmOJCxnj4aOy7UZjv8rGU6pdYW/sgZ555KFdf/ZuydpJtQvvEE0/w8ssv8+tf\n/7qsdQcYg9uINhQKpdOHsVgMqAzhGRQaiRUb4ZV6nUKQTXgmwjNNPuViw4YN/PKX/4HrnoYe4JbA\nFqRsQ9sBrcN1l5KxA2rwoohx6KaLfDNS8xBiD5SyO2agIxH7Fj66oeUw6x2GWlGmxfLsImS6LXNF\nIPmEvLd5n2sbjrPem0nroqeQ937AIsC+cLYeaamEKS5oC6YGbI+1aDyAjpZLU2iBtdTUfMTPf35f\n2TvJzljtTl58sJsTn/ngzMxbLBarKOH5r9sXIZVLeDaRTXiVEta+6KKfkkzOQJMe6NqQbrpQampW\nq7aJItYh5Yso9VCWvqVxP6gB3kJK2+msl5CyA/sNLYZEbHcYvuV189kWiy6l29JB19VGoFRrlqZl\nRshbyufRMm0P4ThPolTEa6YZR19C3v3DmOIejX1T3B3oBirbikAA29AasGdS2ndZUV//OFde+QuG\nDLE9aqKzWAHxfUKQSCTYsWNHujbV0NAwIDNv+YjPT3jhcLhswivXjLYQr0AbUeXTTz/No48+SSJR\nSENLrijCr29pzGJfAlLotNo8r0Y0DphMeTN8SYR4wks32YxE4h6J2G9o0WLclRCLttlt6Rfy3ga8\nCpyDjuyN72F/Qt5j6T8NvgD9uZVa58wPe/6Auda+G602VGpz1uuMHl3Pt771LSv7yY74Ojo6GDnS\n7jjPzsRuTXxVVVVpd/Ht27cP2HWzycI24eW7TiEolPDKuYYfiUSCs8/+Pt3dX6D0lvJc+pYvAU8A\nX0XKTZ7M0/Mo9SBC1HiH5lD0oTmJnnJefeE+tOXQJ6Wh5VGUCmNfLHoD8B5Sfg/bzSG6A3ea75Af\nAjRl3ehs9gl5r/eEvOM4Th26mWYEuh48Ga1sA1pDdBlKnYb9iCyXHqctGKukUiP2OHV1T3HTTf8o\nuwEN8pvQ7i4C1bCbE5+xCIKBFY8216oU4fmvI3tKd+RFsYRnC9dddz1bttQANme0TFR2HDotlu/Q\n3IAQqzw7F9dXO/TPp/nTYW3oQ+gc7Cu0fIhStkmkA1hKJcSidQTyqQq066/wJOVO6+MxIXRD0T5Z\niiVRL6VrZg/9jukRXLcbHe11AXEKE/IuDIXrcZay9kOU4z0YDr/IUUcdwac+ZdfGKduENkh1fkLg\n/+AG2jXBjEpUgvCKQaEzgflQzvu2evVqrrrq/xCNfge7B/69CKFrg73hPzSnk9l6J1JuIFM7fBrt\nqu2PDtsQYjJK2T3sMw0t9qSjwKh7NFVALPolpOzEfru+mTM8uoA5w1yoQ6c7x/pmDyXQ7jVGvYjj\njEKpBSjV6RPyNs00Eyk88vfDhh5nX2tD6d6D2wiFXuGXv3ySrq6uXvZCxm+vmJ6G3d2LD3Zz4vNj\noMSjTaOI4zgVj6oKMaMtlfCy1yoFP/jBRSSTB2O3bX8D8G4JA88N6IPP742X8qLDDejUaQyl3gV+\n41MvMVZATZRW8+urK7IcvEtlxKJTCPGkV+O0FzFpPALUlDFnmAsOMAzHeQOlPoeUpnHICHmb6PAD\npHyRTOQf8dWFm8jfNVxJPc44QixCqa+VvHZ9/VNceOEFTJo0Cb+9kJQy7TBjVFjMTygUymtAC7mJ\nr729Pa2YsjsgID4LyE4j1tbWopSqeCqxEDNaGw00peDBBx/k+edfJpU6p+Rr54JuMPiUpYHnKrT3\n2Qi0hc9JaJWPDi+ltsGLDrV6iY4OG7wIwmhb9lXwNw0tJ2JXMkviOA94qTfbHXzz0DUzuzVOXX97\n1au/2f67eAYpU4BfQ7Q/IW/TTPMCSj0IhL106RD07KER8q6cHqdee3QZa39Eff1G/uVfLgL032oo\nFOp17hjVKkOIfn3iXBFivohvd0p12q4A71KodKpTKUU0GmX79u24rsuQIUPSnaMD5clnrmMIr729\nnUQiQUNDg5UUa7HvWyqVYuPGjZx//o/o7p6D3Q7GF5GyGyltp+DuQQitZamjyCHo6PAzuO7JKHUR\ncBlKfRvXPRzHGYHjvAPcDFyJ41yPEP+NnsN6A11fAiHuQYhR2K1vAixEO4kfanndLWgXiq9gu6FF\niDtxnCZ0qtIm4gjxAvBlCruPb0B3iB6G634VpS4Afg6cjesehRBjCIU2oeXO/gP4CKW2A7cDz6Od\nOmxAu2hIeVyJz5dEIgu59tqrqKvrWwFJCEFVVRXV1dVpYflIJNJjtMt1XeLxOF1dXcTjcaSUJBIJ\nli1bxgcffIDrur10PxcsWEBzczOTJk3i6quvznntH/7whzQ1NTFz5kyWLVvW73Pvuusupk6dSigU\n6uW5N3fuXJqammhpaeHRRx8t9g3rgd0+4vPLhxXaCNIf+msUGch6opQyndJ0HCfdxTrQ8Ls2XHfd\nH+js3BNNHraQ8ASHT8Bu9GS6F/tLneaKIPzalhu8COIxlLoHqEapFEqNAp5DR4c2huG7gZdR6hTs\nN7TcCcy07kIB71coLQv6pqXciCwj5O2fKXWcP6ItfvbzCXk/CQhCoQhSZgt5F54KL1frU4ilNDWN\n5KSTTirx+bkNaI2Uo3Fcv+2225g3bx5bt27lsMMOY/r06UybNo2jjjpqQA1oV65cyR133MHKlStZ\ns2YNRx99NO+++27JGandnvgMHMcpW4GkmM7IgagnmpRFPB6vGOEVa0S7fv16/uu//i/RaGl2KPn3\ncTdCjEKpbLPN8qBTp7NLTJ3m07ZMIsQNKDUex2lAD5g/A+A7MEei02kTKYbItfv5AUhZvDBv33jN\nm6+zrXeKl5athIefqd2dR2X0ODswyjI9b3bacd3eQt69x2jyCXm/5ml9Hlni3qLU1j7HjTc+aF2I\nwxBiKBSipqaGa665hquvvpo5c+ZwzTXX8Prrr/P666/T3t4+oAa08+bN49RTT6Wqqopx48bR1NTE\nkiVLOOSQ0hqOdnvi80d8pZKRIZeBmn3rC9lao0IIGhsbK6pEk+u1GBFrv02REILzzruQePxQNBnY\nwhqU+qAC4wCLkLIb+92LL6GUC5yElIbU/AemqR2a7kMj5WV88ZrR6ifZ+BCl1njpOZtwEeJRlPoi\n9oTDDZ5EKYl9D79KOiS4CLEQpXLJqQm0rNgewOQcjVJm9nCVT8g7Qs/Zw6eAOTnWLgw1Nc9x4olf\nZvr06SU9v1iYfoUjjjiCI444AtAGtH5LoUob0K5du5bDDst8h0aPHs3atWtLfk27PfEZlEJGxRKe\n/1q2kUtcOxQKsWPHjorLr/nhlzjLtim65557WLbsXaT8rtU9OM49wGHewWELJnX6Zex2LyYQ4pkc\nDS35Dkwj5aUHtbXO5JNkZtMaMM0WjrPAi5xsNxkY/UmbIt+g7Zcq5eH3ijdycaTldSHzfhRDLKZR\namTW7GFXevYwFFqP6z6Glmp7hFDouR6fr/7pL2uziVDoDX7zm/8pYm/FIbu5pauri0ikHDWkzLq7\nCgLiy4FSCa+Ua/WHvtwkTKvyQCCfiLVBR0cHF1xwMd3dx2K39mQMW23rW96DEHujVKvlde8uUubL\nL+VlfqeA7T2iQ9e9CykVQiwiFHod1x2ObhRpJqNcUgq2A6+j1BnY7nXT6ekxKNVkdd1MRPZF7I9c\ntGP3/YiQkeDrBFYCZwINvnTpuhxC3nugNWn9tWFFff1CLrvsp+y5p30fQINCTGgH2oA231qlYrcn\nPnPnUggZlUt4/muWS0imhtfd3Q3kdpOw6fbeH9rb2/t8T/79339FNLofei7KFmII8Zw3Q2WzfrkO\nLUFluza0Dl1zKjclK9BkNgxoxnWjwPXAiSjViOtu8JotXkPKhYDj2TsZG6CJ6MO2/z9v3dAypQL6\nk2tR6iOUOt/yugD3o1Pp9lN9WhSgpSJ6nLo+24SUprN1BJBLyLsNx2nDXxt2nHqUqqWhoYrzz/+e\n9b35kX125RplGGgD2hNOOIHTTjuNiy++mLVr1/Lee++VpVSz2xOfQV9kZIvwsq9VKiGZCK8/R/hK\n1/VMtyhoge98zTNvvvkmt9zyV2Ixu67qQtzhRQx29S11begQ67WhzLq2FVruRIj9kdJEp37XdAls\n93WWrsV13wS6EaLea7YYgY4OJ9PTJHYFUm4C/tnqfsGkpw9FSrv2SxkXg+9gfxrrXZTagFInW14X\n9FjEun7qs/mi/w6kXIcQd/Kv/3ot1dU2u5pzw3+2bN++vZdqy0Ab0La2tnLyySfT2tpKOBzmpptu\nKuv8262NaEF3HZrux2z1AX/6LhwOp+tmNrB161aGDRtW1IdTKOH5sW3bNivu6AbZA/B1dXV0dHTk\nvRlQSnHooUewfPne2BVK/gjt+v19ykvlZeMF9DzWj7A7FlGpdVcD/0Px70MMYxKra4drMSaxmdph\nG9r77TjspqcXA0+jDWbtHtKO82dgL6QsrY2/77WvQ6lPodSnK7D274EZSHlkic9/kcMOSzB//jyr\n+8qFbBPaBQsW8NZbb3H55ZdX/NqWMbiNaKFnFOaXFquUYLO/m7Q/lEJ42dcpF2Z+J9c8YF97ufba\na3nzzbetHxaOcx/wGa/T0RbyNZ7YWPdZb/Db9kF/L/DpEt6HWnLrWm7zJNqe9n63Eljmk/Hak0x0\nWMr4QQohnkKp47H9XujU3ybgm5bXhYxmZiX0OJ9HyiRQ6t9IJ9XVL/CHPzxlcU/5sbub0MIgIz7Q\ndzOJRKLiDgWFEFIqlSIajeK6LrW1tdTU1FS8VpeN7OaZXPOA+V7Ltm3buPLKq5GyDriBnrJPpjBf\niijwE14LvF0y1c0Wtvzl/LgbIfaxPmOYkeKy9T4Yk9gadFPLaWiSi5Ix/12PUkuQcgEQxnHqkXII\nmbm0/ek7OrwXbes0xdKeDSSO8zCV8R2spB5n0qtTf4VS69S1tc/w7W9/i6Ym201ChaG9vZ299rIh\nEbjrYLcnPtP9GIvFAJ3eHAhLnr6IzxBeKpWirq6OhoaGkgmv1Iivr27RQnHppT9HyilI+SV0NLEF\n192ANotdhesaO6AISjWiBZ8n0PfQdjew2Kuz2Px6rq3QLOB6KjNEraW4lPon7Db25GqyqEM3JY3z\nNVroz1NKY/67znNASPjsnfzRYSNazusdpDwb+wPlC1EqZDmdrqGl5Sqlx3kvQuxZxk3ROsLh97j8\n8rus7qov5Ir4JkyYMGDXHwjs9sSXTCZpb2+nuroax3Gs1vH6Qi5Cskl4fV2nPxSbWs11jVdeeYU7\n77yHeNxICzlkZJ+m+Q7QDs8OqPfQthZ8Hk7GOX0PnzKJ3T80bQ10KLatgSrVKFM549pC5cP8n+dU\n3+fZ7YsO1yHlIpR6GCGqUUqiSdroleZSLSkFlZNpgw3eDdF5/T+0aGxBO4mUeiOgqK9/nMsvv4y6\nujqSyWQPq6FKINdZsrs5M8AgID5/SnPHjh0DNvfmJ4tsWS8bhJfrOv3Bn1ottpbov4brunz3u98j\nGj2S/pU+Gr2fpqy27bZ0W75Sr6DUo4Dj1Vn2Ahai9Q9tHJ7PI2UM+7OARvnlCMvr+o1rbUJ6hqqf\no3T5sHoyc2nmdy5KPQu8iBAzcZyPcd2X0dGhUS0xFkCT0bNthUOPGFRCps10n1ZC/cXcFM1AylI1\nWt9kn33CnHnmdzBC0olEIj1nV67vXl8IanyfcBjdOfO/B5L4XNels7MzTXiRSGTAa3hQfqSZ/dg/\n//nPrFnTDcwocUfV6Bqgvy3fRYjrUGqSFw2uxnVfAlJZ3ngT0IRYaOOEsQY6qYjnFIKE18RhWzRb\nN7RUIjqFp7wbC9uuDiDESyj1RZSalaVa4hfwfh6lHiSjaTkEfWPTVy14NUp9jFI/sL5nrce5A/uS\ndZBxmv9Wic9PUFf3FH/849+oqek5pJ/Ld891XfLZDJVrQhtEfJ9wDBTxmRGKRCJBXV1dRQmvr9dk\nK9L0X2Pjxo3827/9gq6ub2K3jrMQnSY7HqVCWanSNmC9l1p7FKXu9sgx4kuVNtNzRs3s/a4KpQzv\nqVBDywsVik6j6NrpN7D/Z/8QOorLljyLYKS4ekaHRtNyA0KsQkpTCza1Q+N4MAnHuQ+lDkcp2+7f\nfelxlguJ48xHqS+gVH1JK1RVLeKznz2Ez3ymt4FxLt89061uyNB13bQRrXl8IdHhYPDig0FAfJX2\n5PPDdV1isRiJRALHcaitre3XK6tc5HpN/n3YjjQvvvgSEomp2LHYMehA13C+Se8ajkmVTiRb4UKn\nStcDryLlY+gZtQZctxEdUQ71Uobfx35DSyWUX8y4hf0oUtdOxyKlTasoKF7iK4T+7uyDUtPJfHU7\ns6LDp1DqXqSs9tzV15CJDkcVeK2+UIoeZ6FYiFJVKHVwic9vp6rqJa699oWCn9GXzVBfruzZhJjr\nfOzu7qahwXYn7c7Fbm1Ea1CMbFkpkFLS1dWVFoweOnTogHni+V9Trn3U1dVZa6B57rnnePjhR0kk\n7EYj2qR0EvouvxAYhYuDkfIrSHk+2kz0HFz38wgxmlDoY+ARQOE4tyLEn9FSVxmj2FLhOHfjOLMB\n23UhHUWC7ShSpwulPNbyutrWyXFa0J9HOTAGsZ/Gdb+OUt9HiDrgKKT8LI6zF47zIfA34Dc4znXe\nZzoPeB09sF8oDFl/BftHYBR9E/cVSm3Eqat7ivPPPy9t21MOTLQXDoepqalJZ6AikUi6xp/LhDYe\nj/PSSy/xzjvv5CTUSpjQbtu2jTlz5jB58mS++MUv0t7eDsCqVauor69n1qxZzJo1i+9///tlvy+7\nfcTnh00zWshtzWO+ILav1d8+uru78wpI20AikeCss84nGj0Ku8LAb6Nlor5R5joOmoj29LoQnwE2\nA2d7tRYt52WMYnunSidTmDJKpayMKhVFGjGAUobg+8M7XpR2iuV1QY8B7OUNlIssCa9Or1PYdJYa\nP7xanx/e/ujosLepbmX1OO9Gy8uV2oizmrq6dVxyyY+t7isbxpXdD78JLWjroQcffJANGzZwyCGH\nMG3aNKZPn86cOXMqYkJ71VVXcfTRR3PJJZdw9dVXM3fuXK666ioAJk6c2MuRvRwMCuIzEYsNM1ro\n36nAXLPSMELWqVSKmpqais0nCiG46ab/ZPPmEGBzMFniOA96Q8mNFteN+WbgjBVQoanS7KYLf1ep\nsTI6HtuuALoD8FMV6C58znO3sC3DZT67z1dgoHwTegzgHHrfBAhydwonUWoTrtvmCXi/g5TPAkbg\n2Zj/1qPUeiqjx7kWpVZRujC3JBJ5nGuuudKKDVCxyDahveqqq5g7dy7HHHMM1113HcuXL2f58uUk\nk8mKmNDOmzePp5/WikJnnHEGRx55ZJr4bGfqBgXxGZSb6iyE8Gxdqy/4neAdxyEcDlf0D2XdunVc\nffW1RKNnYDcaWYBS1daHkvUd/X59NLTkEgOWwFav6WI9jrPWa8k3RqINSNmNUrXorlKbWFyhsYiE\npxpyEraH4DMD5aUr5OeD49wFHOg1uRSKMLozdN+s6HBHj9qh6y5HN7b8J0I05LH/KXXf96FnOksV\n5l7G+PF78Y1vlJv9sAdzU3344Ydz+OGHAzoS7M9IthQT2ra2NvbZR38GI0eOZOPGjenHffTRR8ya\nNaCxpSMAACAASURBVIuhQ4fy61//OmfTTzEIiK8AZBNeIZFVJYjP75hQVVVFY2NjunurkviXf7mU\nZHIWuV3BS0U78CpKnY7doeTVJd51+1OlU3yRhEmrrQReQ4gISl1dRqo0G0ky2pa2veXuRohRFeho\nreRA+XKk3A58x8JaAm1fNBSYhOs+iRDrUOp8lNqCtv/Rn62x/wmFIkhposPx9K0y5MfLaGPcUuvf\nMerqnuGGG+7bKSNPBpXS6SzlLDT7GDVqFKtXr2bYsGEsXbqUk046iRUrVpTVcDMoiK/U5ha/XVGh\nhOe/pk0zWr+AdGNjYzo/77puRTtVH3vsMZ59dgmplF3LIce5AyFacd0x/T+4qHVNPcuWHU4DMBHH\nWYBORc5Bp9U24rrrvYNzWY5U6Wh0FDGGvhsoTC3LtrZlpaTUKjlQLhHiEZSaQ//CCMUijnaD/xp6\nfGE0MDorOmzvYf4r5Xx6msMOQ9cOm+l5E+gixBPeaERpNy/V1c9z/PHHMmvWrBJfnx3kMqEdMqSn\n2EGlTGhHjhyZjvo2bNjA3nvriL+6ujptxTRr1iwmTJjAO++8U9Z7NSiIz6BQMvKnEksVs7ZlRpvP\nMcF/nUohFotx7rkXEI0eg91U2ZsV8oF7ukwV/HwwqUjT0BKm98GZK1X6Cj1Tpfugo4hJ6AOyjfy1\nrPJQuZrhqgoOlD+MVoY50PrKWo9zNPn1OAWZevDkPOaw64E3kPJJwPHZO3WjVBhozbly/9hCVdVr\nzJ17S4nPrxx27NjRy4uvUia0J5xwArfeeiuXXnopf/3rXznxxBMB2Lx5M8OHD8dxHD744APee+89\nxo8v76ZrUBBfoRGfDcLzX7NU4ssWkK6vr88rIF2pWqJSiiuvvIrt2xvRB7UtSISYD8xBKZt1yajX\n0PJ17JJ0oanIfKnSriytUtOBWIdSSXRk8763Z1tdl0sqVDP0R9S2B8o7gOUo9W3sjxisp3Q9znzm\nsNu96PB94FV0FDmXjAbtMLSAdzP9fa719U/w05/+OF3f2pnITnW2t7f3SnVWyoT20ksv5eSTT+aW\nW25h7Nix3HHHHQA888wzXHHFFWm95T/96U+9yLhY7PZGtJBRUlFKsW3btl4GsdmEZ0PIOpfxbSEw\nhKeUKsgxIZVK0dXVZU1ZwdQR33rrLY48cg6x2HfJpYhSOu5HiDVoHUp7B5wQf0OIEFKeZm1NjX/g\nOF1IeSb2orIk8ATwKo4zFVjjjVyESkiVZiOFENei1HHANEv7NXgOWIQ227XtGHELQgxFyq9ZXRfA\ncf4INHlparsQ4maEGIaUX0XPh24ENngp8LXe5+rgOBGkbEQP309Ez6xWAe8ycuQzvP760l7SZDsD\n2Sa0DzzwAB9//DGXXnrpTt5ZSQiMaKF3WjBXs0j2bEs51yomEkulUnR3dxfsmFDqdfIhO636k5/8\nK8nkIdglvW3oweHvYPeu3qTfyh9s7Yk24D2kPBe7qUiBEK+h1LFIafROMyaxOlXqtwEyQs9+rdJ8\nMlvGD2+qxf1CpkP0ROx3iL7vjRhUoptxKVJ2UBk9zne9GVQzGlFDbw1aCWz3dZauxXXfBLpxnHqE\nUFx//c27BOlB74hv+/btZUdXuyIGBfH5P0gzy5dKpYjFYoRCIauEl43+XNh3thmtSat2d3en64jz\n589n6dKVuO5ZVq/lOHcA05FydL+PLW7dSri1m7b6gz1nAZuYh76h8MtlGZPYEf2kSp9ID2vrdnx/\nw4Wkcn5491AZE188x4gjLc9yQk89TvvE4jgPFbBvBxju/bT4PtcYSj3GhAkxjjnmmLSm5s7s6MyF\njo4Oxo0bt7O3YR2DgvgMjJBrR0cHVVVVNDQ0VIzwzJc4H/H5BaTL8eYrJ+IzhAeZOmJnZyfnnvsD\nuru/hN2vx2tIuRU43eKaAE+ilIttt3Z4yWtPP9LyuluAt1DqLAojpwg6ypvQa1hbqfVew8XrXsMF\n6GhsPjpV2oQmxXKja13Lsh/5gv78lKfQYhsPUjk9zqdRSpaxb5eamne55ZaH0oL2frshv4bmQN8I\nBxHfbgST0gQGRDwa8gtI+x0TyhWQLoX4+kqrXnTRj9m+fStwm68bcSTF2wH54SLEo96dt833PQos\nwr7jQNJrTz8O+wotdwIzvfe0VOQa1l4GLACOR4g2r6vUnyo1rgemq7RwRwLdIVqJyDfmjRh8HftH\nUTvwBoWLZxeDBEK8iFYGKm3fNTXPcsop32DGjIy1lxGUdl23l7tCNiFWIjrMdY50dHTsds4MMEiI\nz8zjRSKRdHpzIJAtIJ1P19MG+kupgibd7u7utC9fdlr1rbfe4p577gMuAhxfim0tUj6CUnd7dYkG\nXHdPdIG+mf6NRechxBCUKtW/Lze048C4CjgO3OfN1tmuk73mDWefYXldFyEeQ6kvAlPp6ZhuUqVt\n3uf4JErd50uV7kGm+zCXQMErFauRaV3L/VDKthKOSVNXRo8zk/Yttdt5A+Hw2/zyl3/v8dv+7Ib8\nZFjJ6DB7gD2I+D6hCIVC6SHMeDxe0YFvP/yuyfF4vCKEV8gXvRBfPqUUZ5/9feLxz6B1EKF3ii3e\no0gv5Qso9RDaWNTfwt1KpoV7E1oZ4yzs3nl/WKF5sjZ0ncz2bJ2JeisxnP0AOqWX68air1Sp6T70\nz6YZW6fRwEQq51m3DqU+wr7LPOjZyA1AJfQ4y037KiKRJ7jiin9l+PD+RRb8dkP+soxSCtd1exGi\neWw2GRZyTuQzoQ2I7xOKgfTkMzD+V11dXRUhPD/y1RKLiTJvv/12Vq5cg5Rf6ONKNeia0f6+QzSF\nFgc29aY3kPIJoMpr4e5CF/ZddPOFnffAceah1BHYNijNpPWK0YksBIacss1ay8U24M0iO2VzpUp1\n92HPrtJFKCVwnIVoVwp/qrQ88nace9AD9rZd5vHEsyvRLGP2PauMtO9K9txTcfbZ5TWO5XNX8BNi\nf957uW5+c5nQBsT3CYafHCpJfP6ZQCEEdXV1A25G699DITZF27dv5+KLL6Gr60SK116sQs8mjeql\nYiLl08A7OE4NUv4VUN6cWiP64J2IPkiLveYT3h/5YUU+rz+85KX1jrS8riGnM7Fdb9I1w2kWOmUz\n3YdKteK624CbgG96n6vpKn0KpeZ5qVIj49VXqjQXXvJuiOwP2OtmGSrULPO6l6o+ssTnJ6mvf5Ib\nbri5Ik11fZnR5osO/WRoiNOPRCKRlgvbnTBoiM+gkkonpoHGqL5Eo9EB6cgyrynXHgqpZ/7851cQ\nj49HzyDZgAPsgRDvo9TxSDkdo5SfiSjW4rr3AbGs5osJZCS9cqEbWOzNTtn8+qYq2NBixjj2tbou\nrPAGpG0P7fsJ1UhDjc+TKl2PlqDLnSrVpOj/DqYQ4kmUOhb7IwaVbJYxOqLHUGq0Gwot5rDDDuLI\nI4+0urP+kC86zHZmN5Zt0WiUO+64A6UU1dXVxOPxHjfvCxYs4KKLLkorr+Qabv/hD3/I/PnziUQi\n3HrrrcycObPP527bto1TTjmFVatWMW7cOO644450U83cuXO55ZZbqKqq4ve//z1z5pQvRDBoiM8f\n8dnw5DMwZJNrJnCg2pDN8HkikSh6LnHZsmXcdts/iMVKkXPqC2aQ2qiHZJTylfJrIXZ79Zj1Xt3w\ncYykl64bjkA30bQADV5DywFIOcH6fnXEYruh5Q1vjOPblteVCPEwcDR2pd+gf0LtO1Wqo8M1uO4y\nIO4bwN8b2IpSQ7GvKmOaZUZXpFlGd8zWAqUKI+8gHF7M7373nMU9lY5cjTTJZJJUKpXWA3766ad5\n4403GD58OOPHj2fGjBl873vfG1AT2hUrVnDHHXewcuVK1qxZw9FHH827775b9tk6aIjPwIT05aJQ\nAelKp1VN2iKZTObcQ1+QUvLd736PWOxzaHFgWyimQaQene70RxQJlGrDdXV6TaklSDkfqPJmp0YB\nz6LTazZa7PV+lbI9+C0RYoEXJdh8f0EfxDUodbDldUslVP+gdmuOG5sNXgZgvXeN33q2TqardDLl\nfZbrK9gs0wUsQ6nTKDVVXVv7FN/97hkccMABVndmE6YWWFVVxRlnnMHpp5/Occcdx8KFC1m5ciWv\nvfYaq1evHlAT2vvvv59TTz2Vqqoqxo0bR1NTE0uWLOGQQ8pLZQ864iuXjLIFpPsim0oSn3/4PBQK\nUVtbWxTpAdxyy19YtWoHStltuNCt5LPLaBCpxkg/+ZtohLgepSbiODXoTtGn6alvmcs1vZD93o1u\nWLAtEvwQOi1m22qmA30Qfwv7M2qPoAn1IEvrZW5shHgDIWYg5bFoWyfjeLACKZ8i43jgT5WOo5Aa\nsG46mV2RZhltwzQBKceWuMLH1NSs5qc/vdvqviqNWCyWVpOaOXMmM2fOHHAT2rVr13LYYZla/ujR\no1m7dm3Zr23QEF+pnnwGSqn04DdQkIC0EAKZyQVZQa7h866urqLX2bx5M5dd9m90dZ2C3cNzkde4\nYHvu6yn01/XLSGm+ttn6lmtw3ZcAF8dpQKkGlPI30eT6ur/sNbR83vJ+29FuA/YHqHW6dxJS7m91\nXehEmwOfhn2DWX/6tIpMqtRYEBnHg/VkNC1fQ6dK69E14L3IdJX6I+ilnspOJfQ4V6PUmjLGZiSR\nyEKuvPIXNDba7zK1iVyqLTvbhLZSGDTEZ1AK8ZkIb2cJSEPfw+elXOcnP/kZ8XgLUI6CSDYSCPE0\nSn0Zu40LXcASlDqVnl/ZfPqWHUi5HlM3dN37gajvADVNNBO8hpZjsT2npptDWiswQP0ulRJ01oTa\nVEZkkw8Sx5mPUn2lTwV69nMYuVOlZgD/GZS63zc7OgRYg/ZgrIQe533A4ZRuw7ScMWOG8PWvf32X\n0+HMRrYJbS739YE2oc23VrkYNMRXCkn4BaSLITz/NcslPtd1icViJBKJvMPnxWLRokXMm/cwif/P\n3pnHSVFd7f97q6dnZVgEFwQRVBZRo6K4Rd9XFER91USixihG3GI0GpckIv7MZhZQ4xbFmEUTlxg1\ngBsqoOyrLIoLRMCNZWZUwjLM1jPTde/vj1u3u6ane6a7+haiw/P5+HnfDNW3qru669xzznOep8mu\nqzpMRoi9UCqoIWd6CPGcV2rK1nyy3PtvgO8B2pCiRKPFnpUqJBJZgOuuJkmi6Zx+2azxAVJ+AVyY\n5zqpkCHOqH2EUpUodb3ldQFeR6lowPJpuh6wmR39DF0JUMA8YIHP/mdftMReX4Jnr0uQspHgxsaN\nlJTM5aGH/h3aDG+YSJfx7WwT2nPOOYeLL76Ym266iYqKCj788EOOOeaYvN9bhwl8Bn7qf6YAYgKe\nya6+DAFpKSWxWCwrxZdcg/nll/+QhoZh2M1yKoCPkfJq7BJE1ll6IJegA1s/7wG6GfgL8C1ctx7H\nqUSp5Sg13csmDPGiDzoYZku8kJ5q/6ko1SnPa07FbJQSKHWc5XXBcV72BAHyDfqpqANWoNRF2Cuf\nmtnRUrRr+xh0oNvuYwhX4rrvkl2pNB3ivupFsDm2aHQRI0acwjHHHLPTRpvyQeozMV3Gt7NNaAcP\nHswFF1zA4MGDiUajPPzww3Zk2TqCES0kzWgBtm7d2sqM1hzjl/YqLi7O60MOYhKbOnxeUlLS7m7R\nGNeWlrbPHHzggQe5446/Ulf3PWwGKMd5EF3aa0v5JVdIHOd+lDoOpU6wuC44zsNAP6Q8I+VfXLSD\nglYv0Saxn5M0E/WTaNKZxL7qsRevxW6frB54AC3DZXuUYzZCvI1SP8b2XliIxxGiGCm/a3VdAMd5\nFNgDKc9t46gGwG/rVIFS232lUrO5SWUIT0aIrXkwfbdSUvJ3li5dRO/evWlsbKSwsDA0NxgbSDWh\nnTRpEtXV1dx4441f8pUFxm4j2nSyZeZvqeXEfB0TUs+TDYIOn5vzZEOiqays5Ne//i319aOxm5Ut\n8EpCJ1lcE+ANlIqEoMJhhJfTEVoiwF7AXiRNYhWwDSk1iUaITUi5AojjOGUoVY5S+6AD4dse29Iu\nOUQzC/uGML8YQztchDH0vd4jhlxneV3IXo8zNdMHf6lUa5UahrDZ3JQAn6F1VSVB7mVJyWx+/OPr\n2HvvvWlsbEwI5cfj8RayYbtSCTQ146uurv5aOjNABwp8fvgDRZiOCdkEPv88YNimuDfc8FOam4/A\nzuybQSPamfvbBC0JpUctsBylvofdIBL3hJdzIbQI/HJeyVtam4ZEozxiiymtHYieUctHts44zNsW\n5DZD3/shZRgOCS8C30RK+w/P/Hqd6WT2NKtUB9OX0X3e+cDrvlJpD5LKQm1VVz6mU6et/OQnN1Fc\nrL9jdXV1Cekvv1KK33LI6GnuKoa0NTU1iZm7rxs6TOBLzfhisRjNzc1ZaVnmc85Mgc8/DyiEyHn4\nPNvzGMyaNYuZM+fR3GyX0KKZgL2x7cydZBjaHvh9Ac0ctKEc0glNoOiP664DPgau9qj1hkQz12Mh\n+h3TjZ1TdkzBpMO8bbHgCm/o+xrL64KuAjQRnBjSFsLQ4zSs0s+BOPAjtLNFg1fqriISqUrDKu2C\nLpUOBPYGXMrKZnLffXcmgp6B0cU08FsOSSm/dEPadBnf11GgGjpQ4INk/8zstHIpJ+Z7Xv8Xyj98\nns08YHtoL/A1NjZy1VU/or5+OHazsg0otd7rZ9mELUJLKjYDa0JRaNHkkFNQqgfQA+ibom35BVrb\nshJ4GylfB6LewLa/z5Q6RD8PKeOA3R4nmKHv45CyfXuc3NDkVQG+hZY3s4lw9Tgd51XvPpqxixI0\nM7RvmlKpGcBfg5TzAYHjFNOnz/6cffbZLVZO9/tsS1Q6kyFtOocFGwEx3fV9XZ0ZoAMFPikl27dv\nJxqNEo1GKSwsDD3omS+lCXxtOZ/ne562At8f/nAv27aVonel9uA4z6NLWd3aPTZ7+IOIXYahLkGG\nodBiepGZaNZRtBJJL6Q0lH4J/DcxfC/EOqRcgH54Gkp+T7Sz+rnYDyBLkLIB+31ZSBq12q0CAAgx\nhbDMa7Xrh4NSQ9s5zl8qNapHCk2ieYw//GFC2t91tr/1TIa06USlU0ul+WaHu3t8XzNEIpFESbOu\nrs7aYHl7MAHPNLbTOZ/bQKb38+mnn/Lb304AChHiMbSSyQB0uS2f8u5slHJRynYp63WUKmgjiATF\nW0i5A/sKLXUE60U6GBKNUt/w+oYKqE70DeFNoBn4dwqJ5kB0iTVoMGz2qPr/h90KAORv1NoWqlDq\nE8LR44wByzxhgCAbYkFh4btccMHFnHRSy82EjWdNe+7sJkNMLZX6y6VtPXM6khcfdKDABzr47QxP\nPgPXdVFKUVdXZ234PB0yrem6Lj/4wXU4zjG47n4IUemRMCZjVPOV6owWfe6PfqBm86OvRzMBz8du\nJlKDnvmyLZkVR4g3ciS0ZAfdizzQUi9SoPt+XdFOFovRvaZiLxhq1wMpX0OpSSnzaaZvmI0YtnHO\nOMTCNbeE1j09iuBGrW2tHZ55bZLkc1DAFb4gGl3Nb37zdBvnsPvbb69UaoJhPB5PlEozubOnC3y1\ntbV07mx7rnPXQIcKfAZhBz7/8DloIeswzRxT349xXp86dSrLl7+H616FdjbwK5nU+RiJG32yXsYb\nbx+0xmXrzEI/7Pvm8ZBID12KHBCCZNaL6GDyDcvrfoRSFaHQ9fVD/ljfQ/4g4CDf/WtMUaJZiFJT\nEaLII9Hsge5NDUKTNgw2o0cBbPc5AVZ6WfXJlteFpB5nGOa1leTn7KAoLZ3F7bePo3v31kG5LbGM\nMODPDg1hri13dpNFmn83AdL/b6loyz/PD5v+e8OGDaOqqoqSkhKEEMyYMYMePXoE+4w6ygA7kLjZ\nhuBSVmbXxyzd8HltbW2CwBIWpJQJBlZDQ0OirDpkyLFs3nwq2Q88N6BLbFVeZlGBUrW+YLg3mua9\nCLgenZXYwhpgsreuTTkuo9ByBXZ1ScFx7kOpoSh1otV1YQlagutGcitFxtHv1z98vxko8AxiOwOb\nEWJ/7Gt9ughxL0oNB45s9+hga48A7DqJADjORPSGa0TAFT6gd++lvPPOsrS/c7MRtf28sQE/o9QE\nvdGjR1NZWYkQgssvv5wjjjiCww8/vEVQHzt2LN27d0/4523bto0JEya0WnvAgAEt/PeeeeYZBg0a\nlPH1q1ev5uKLL2bZsmWt/PeGDRvGvffey5FHZv392j3A7oftjK+t4fOdUVY1uzlD3uncuTO/+MWv\nqK01YszZooTWuoixhAyU42xCysVo94O/Ym9WzWhQnhJwLisztEXSkV4GaxOzPEq9bfmwfPpvftKF\nsUKSwFbP9WAF0IBS64Df+Ug0vchf1/IVNP3/8PYODICp6M2Q7YwddCZZQ/BMMk5p6Sz++MdHMm5u\nd3bGlwtMydM8o4qLi3nqqadYtWoVP/vZz/j44495/vnneeedd3jwwQe59NJLATL65/mxdOlS6/57\nttxuOmzgs/EBZjN8Hmbg858foFOnTkSjUdatW8fEiX8mFrvSwlmKMXRuKV9HiDKUutrLJIxruplt\n8rumH4gus2Wzy52OUoVZsOlyxVtIWQ2cYnndeuBNlLoA+z+h5xGih8X+m4Mer+iGNsU9E+0PuAMp\nq9B2ThU+XUt/qduQaNoLwNXAe4RhwaTXfh+lxoSwtuuJGZxOUGeHSGQpRx99GMOHD7d7aTsZ/uBc\nWlrKkCFDKCsr46GHHgJIZIUGX3zxRVr/PD/C8N8bM2YM0WiUUaNGcfvttwd+vx0q8Jkbm68Ley7D\n52EFPv8sYFlZGTU1NRQUFKCU4qqrfkRT0/Hk7zLgRy2a9XYhOrPrA/RpNavmupWeJuJilHrFN7i9\nB6R1P9hBOB5whtByOvYJLZMQYv8Q5MPC7L+ZjOxIb+0uQBeUGpRiAZT0w5NyBkpNRogS7x76STTJ\nDY3Oqg/GvgWT394pfyua1ngFLUIQNJOsIRpdzP33z23zqF0548uEHTt2sHr1ar7xjeRnY97Hb3/7\n21bH5/v+snn9008/Tc+ePamrq2PUqFE89dRTjB49OtD5OlTgM8gnGOU6fG478PlnAUtLSxPnN+eZ\nMmUK7733MVJeZu2cYAgtB5HZGig5q9Zy0PcLlDI9pxVIOQMhCn0CwZsR4gCUsk9oEaIrStkuvX1K\nWPJhOoCEMWeYbUZWivEp9JNolPocpUwwNBsao1xS6AXL0yxfM+hNQBj2TqA3XO+j1PcJmkkWF8/j\n0ku/z0EH2SV5fRlI58wwfPhwnnnmmbTH77333mn98/xoy7sviP9ez549Ab3Rv+iii1i6dOnuwJcN\n8jFuDTp8bivw+Z0j0s0CCiGorq7m+utvpq7uLOxmT8b8NFf2ot9p2wxuuyj1X1y3Ej2cXYNSNcAE\nj4DRBdgfOARtMhsEW9CeeFdgO3PS+pNhyIeZsqztOcN8TXGLaJ3dG+WSKmAaOoN/HIh4SjSdvdcM\nQN//YIElqcdp297JZO0D88hSKygs/Jif//z5do/8KmR8qSa07cmVZfLP86Mt775c/fdc12X79u10\n796d5uZmpk6dyogRQclIHSzwGWTjyWfQXsDJ5lz59BMNIywb54hf/vIOGhr2Rz90bEHiOC+h1DDs\nKKlE0LJce+I4s1DqNK+3twXX1f0mLQE1D/0g7eR7kA6mtaRXazjOc4RDaJkbknyYv9dktywLa0PI\nmgyJ5j8IUYqWlhPANlzX9A3X47pvoolQnbzhezMvegDtb8yMHqdtIQOAj72N3HkBX68oLZ3JL3/5\n/ygqKko4Luwq4tI20J5qSyb/vKqqKq666iqmTp1q1X+vsbGRkSNHJtinw4cP56qrrgr8/jrUOIOZ\nX4HMnnz+Y/0BJ6g3X2NjI83NzXTqlNuuNVdfvkWLFnHmmecSi/2A7Agl2eI1hFjnlfZsZpGvIMQn\naJ3PdO9LAtuASk/Sa6PHLjWSXl3QNkADaZlVrERnITeQnyNCKmIIcR9KfQedydjECwjxGUr9ALsE\nDuNneDxKHd/+4TmhAbgfOB89Y5gOCi1K4HewqARivuH7vUk6HhiCifmsz0MHSrvQn8lRKBVUru1d\n+vdfw+LFc1sMi5usKVVPs7m5GaUURUXBCDQ7A4aRbsh5r7zyCp988gnjxo37kq8sL+weZ0hFJrWC\nXJzPczlPtgjiyyel5Prrb6ax8STsBr2wiCfVwMp2+isOutTZHaUOIynptd1jI1biOBtx3aWA9DLD\nMuAL4GiCsvQywSh7KGU76G0DVqHUZdhnLc6kbQ3R4NCfR592RAwEugzaGRiYQqLxD9+/gVLP+1jB\ndShViu25S435SOkCQTcCTZSUzGHixGdaiVL4B8RTxaUhOVi+M5wWckVH8uKD3YEv8b9TMyxbVkXZ\nBj7DFK2vr8dxnJx8+Z544kk++WQ7Sp2T7+W2gC4ZDrKupKLXHYyU+7V7bEsY65huKDXYe5AqYIfX\nb5qBDtBvAUt9JbZ89Uk3EZZ9j+6/HYaU+1peuZ4kC9e2GPsmtCtH0M+jlNbzok0o9TmuuwpYjhDF\nKHWfR6IxDhb709opPRc0IcRCtHdksEdfQcEiTjnlfzjuuNbzm0KIVr9Z81yB5EhAe/JhXwZSn1E7\nduygd2/7LN1dBR0q8KWSQaSUOI4T2Pk823O2F/hSRxNyUXnZunUrP/vZOOrrz8NuxrA6JEbdam8G\n8CJL6xlqfhxdVrsc3X+q8diGlUQim1L0SU2/aQD6Adz2z8BxpnjlQtv2PauQcgsQjJnWFjR5o18b\nLNzgcJznUeo4y59HIbAfjvMSWqptBJoIZZzSq/A7pWsSTRegN/o+9qb97/8LCLE3SgV1KdlGQcEK\n7r77zaxfYQKcECKRIaaTD9sVTGlTM75DDrGv5bqroEMFPj+EEDQ1NVFXVxeq83lbgS8ej9PQ0IDr\nuoFtim655TaamkyfyxYkQrwKDLfMqDPrjiDpd2YHOnM6Ail7en8p9/5Lp09qgmE2+qTGUNW2NHS3\nrgAAIABJREFUfY9EiNfQn3E2wtK5YENoIxfwZoh2RitS9Dgj6HLnPj77HwlsT5BohNiElMtIkmg6\neRn+QbTc1JgZyasIyvQtKZnD9df/KOdMKJUxmU5cuj1T2nQ+fDaRbpzh6+rMAB0s8JkgZHZYUsq8\nnM9zOacfqUzRoK4Ny5YtY/LkF2lstOuqrgd7S1Hq6BDWLUGpo9o9MjesRMrtwKXtHFdGa7HnBp9Y\ndwVSTkOpSR5bsRTYilY6sSOVlMRrQHEIn4VxbP9mCCMXcYSYQzh2Ri5CzKJ9FRUH2APYA6UOIfnT\nqvH6hsaBxGxqDImmGj1nGpSZ/CmlpZ9z8803Bnx922jLaSFd3zDVf89kh0GQyYR2d4/vawKlFDU1\nNRjVcWNKGyb8gS+VONO1a9fAX1bXdbn88h/S0HAydtmL24B3sxh2zhXbQ1rXRYjXUWokwT6H9Pqk\nSn2GdnUoRYi1KLU8RcHkIILrk+4A3kGp0dgntJgM1bZPImhRgHDsjOBldIZ+WMDXmwy/f8qm5jNg\nKfBfhKhGqbs8Ek0ZrptJTSgVkrKymfzhD+MpLc09O89nji9T39BvStvU1GSlb7g74/uaQghBaWkp\nkUgkoW+5s9DQ0GCVOPPnP/+ZysombAv3auLJYdblp3Qp8tAQZK1eQj+0bCq0FKMzmlrgapTqgSFf\nKFWZok9a7DERe6AD6MG0x6zVCi0DkdLmvCVo8sYClPoW9h3bwxMF0CzfVdjX4ywB9keIKb55USOt\nV+X1DY2aUNS7j0ZAYSBmZlSItznwwL0ZNWqUxWsLjrZMaTPZDrXl0J7JhLZbt258XdGhAh9ANBpN\n3Oid4ZrQ1NQE6H6eLeLM559/zs9/fgd1dRdh9yH0LlJuBS6xuCbA+0j5X+wRWgy2AKtR6nJsZ05J\n01Pj96XJF7Bfij7p57iuoeUvQalX0fqkZWgvvdSMYq1XWrVtCwQwGSH2QalB1lfWwfrwEEQBwtbj\nnIG+d8atIimtl9SVMGpChkSzBinnY2ZGHaeRiROn51VKDJugkqlU6s8M0zm0Z3oexWIxiottiyns\nOrBdZ9nlkY9sWbYwAa+6urqFGa0ttuj5519Ifb1ADwY3WllTlwynAyPJzsU7W0iEmAaMwO6MoX5g\nOs7haBanTSxBynqk/N92joui2YRH47rfQku63YZSlyDlcThOJxxnBfAAQkxAiAeBSWgVmngb6wbB\n58DHSHkW9jOyVUi5FSltu1yA0eMM7oXXFuqBt1DqbNoe6TBqQocj5ekeAeY24BqgGyeccByHHx6G\n3VL4cByHgoICCgsLE8pPZWVlFBUV4ThOi2BYV1fHI488wj333EM0GmXLli1p19y2bRunnXYaAwcO\nZOTIkVRXV6c9btq0aQwaNIgBAwZw5513tvv6rVu3csopp1BeXs6Pf/zjFmu99dZbfOMb32DAgAHc\neGP+fdYOF/gMwnRNqKmpoaGhgdLSUsrLy/N2g/Bj3rx5rFz5HxxnP4SYA9yJ49yN4zwCTAHeA5oC\nrPwSukdi2+hzKjqQDmnvwBzxDlJuQ8pTLa+r/fAgKIHDyHkdhZRnIeW16GB4GdprsADHqQceQuuT\nPgQ8iTae3Rz4qh1nMo5zNNqCyCY0+1SI4djdEOm1HWcqQpyMdkmwCyEm4TgHoG21cn414FJcvIW/\n//2veV3HrqbVaUqlJhiaIFhcXEyvXr2oqqriww8/pH///uy3336cffbZzJ8/P/H6CRMmMHz4cNas\nWcMpp5zC+PHjW51DSsl1113H9OnTWbVqFf/617/44IMP2nx9cXExv/3tb7nnnntarXfNNdfw6KOP\nsnbtWtauXcv06dPz+gw6XKkzrIzPdV3q6+vTjibYOldzczNXXnktTU2noXUrAZrwG8UqNROlnk+R\nhDJEjEwP8rBKhtvQrgBjLK/rIsSMPAgtbeF5hNgTpQa3f2jWiKA3FVXAd73ZOklSn7QSvz6p43RC\nSqNPejDtK5gYM9WTLV6zwTSgKBT2KcwhPD3OTd5Ix7WBVygtncWtt/6UPfcMOjCvsasFvlT4RybO\nPvtszjrrLFatWsX8+fP59NNPefvtt9lnn+R3MCwT2tLSUk444QTWrVvXYq3PPvuMmpoahg7Vfp3f\n//73eeGFFxg5cmTg99zhAp+BLTPaVE3PdKMJtgLf/fc/wH//G0U/DA0KMer5Uh7r/a2xBbXbSELp\nYFjuBcMBmHm11jNwdpAkytju3RgGoO3s9HN06e0H2C4Xalsn/0C5g1Yg2RMpDUFJ65MaSTYhPkHK\nRbStT+qS9B20rQVZi5aWuxj7xaEYQryJ1uO0/xjSQ/bHo1RQgsZaunSp49pr7av17GpIDcxNTU0J\nu7N+/frRr1+/FseHZUKbCRUVFS1mJ3v37t3CnDYIOmzgy7f8mIump43At3HjRsaPv4v6+ktp/6Fc\nhGam7d/CVy05r7YxMa8GUaRsRpfIVtNyeDsfvBcSUSY8bUvHmQwc7Y0r2MSnKLUpi4Fyvz7pobTW\nJ61qoU+qg2ETSkmgKzpw2vtMkh6Mtr0S/dqn9kWok0P2JwZ8fZzS0lncf/8DrfQ4c0XYBLowUF1d\nzapVq3YpE1rb6HCBL9/yYxBNTxuB79prb6Sp6SiCe9QVoXsdfXFdI9BbBzwIHEEkEkPK11Bqkqdk\nUu5lgAPQ6vm5fFVchJiGUqdhuy+ks8hvhKBtuTy0cmF+Hn6Z9UmlXAPMwHF6I+W/gLgnydaZpD5p\nX4JpdX6MUpXk7sGYDarQ2qc/DGHtOELMRakzCDpk7zjL+cY3BnDSSSdRV1fXggEZVFNzVy91ps7w\nnXHGGTz++ONpjw/LhDYT2jKnDYoOF/gMgrgmNDU10dDQQCQSyWk0Id/AN2PGDBYuXEY8Htx/Kj1e\nxXG6I+XZuK754jf4yqSbcN2XMQoYSY3LgehgmOn9v4wmKxxp+XrDGreIe6ohZ2C/XGg8/GwOlGt9\nUsdZiWYinu39vaZFVp9en7Q/2WxktAfjSShlX70jOSoSdBPXFl5CZ7+HBnx9LYWFi3jooVmUlZUl\nhsX9qimps3FtaWru6v09SG9C25ZqS1gmtKnXZLDPPvvQpUsXli5dytChQ3niiSdasT5zRYcLfKlf\nwva+mEbirKGhASFEIImzfAJfbW0tV155LfX1I7A7lPw5eqbsSlqWTkvQs2f9UhQwKkmncamzC7/g\nsxlGtl2K1OMWmtBim134AjqrCqoakgkxhFiEUqOw/1Nb7c1G+gWu29MnrWixkdFZfTp90rnkZ93T\nFlL1OG1iG/Af77sXLNgUFc1j9OjvMWCAtp8ys3F+9RT/bFx7mppfRbTnvh6WCS1Av379qKmpoamp\niRdffJEZM2YwaNAgJk6cyJgxY4jFYpx55pmcfvrpeb3HDmVECy3NaLdt29ZmqTIej1NfX49SipKS\nkkTDN1c0NDSglMpJ7khKSX19Pb/5ze/5y19ep6HhOzmfty04zkTgQKQM+gWqR7MUK73sogKIoYNd\nATqIDITAVkCpeAEhqlDqakvrGWwG/gJcSTbu7rlAiH8ihERK2xmqRIh7gf8JyIhsAPzkp00oVevp\nk5ahWb5DgFOxmwG7CHGvVwK3PxfnOH8F9kLK1hlEdqiivPzfrFq1Mme5Lr9qiskQ/UIZZmRgV/Ti\nSzWhff7559m8eTM/+clPvuQryxu7jWjTIVMm1tZoQtDzZMsgVUrR0NBAY2MjFRUV/OUvf6Oh4YrA\n506Ppd6ue1gea5SiS2YH+rKLN4FZwHEpVkDGF68XOhj2JbfgFSahZRIwxGO62kQFSn1CGB5+MB09\nYhBURDxdVm/0SV8isz6pkWQLOkKSrx5nW1iDtrv6XsDXK8rKZvKb3/wikEZlJk3N5ubmhCi+35g2\nXan0y0I6E9qvs04ndMDAl+rJ5w982YwmBD1ne6XOVOf18vJybrjhZzQ1HYf2m7OFZoSYjVbYt72b\nn+fR6o/0PVBrvVJbhRcM/w00e4zEzmjlk4HokYz0QS08QstKT7U/nw1Aeug+1vEh9LFqgbdDGDEo\n9v6rIb0+aSVSLkCpqWn0SQfR/gD6dsLR4wTNcH0VpYYR3EZrNXvvHeHSS9tz+Mgefn89I/+Vi8D0\nziqVpjOh7dnTthrSroUOF/j8MAEpl9GEfM6TDpmc11944QXefnsNrnu5tevQmIwQe2FfYf9F0otF\nd0L3j/qnBMNKhKj06Pkr0cGwE1KWo2fVBqGD4qqQCC3G1eF09APfJpYgZYwwPOvCHDHQwfroLPRJ\ntcizLpO+idYnLfIyQ+N4MBi/44HOrMPS48x3EL6ZkpLZPPTQE1ZNqNMhW4HpVGPafBil2V6Xwdfd\nmQE6YOBL/dI0NjbS3Nwcivu6/5zpAp8hzZj+n+kh1tbWcu21N1JfPxK7t6gS+CiEAe0taFJBtsov\nnYABKOUnYdQkCDSOsxEpV6D1LCPo0tpCdJnNDG7nixcRojNK2XW3MJJnSp2Ffc86M2JwveV1Qau/\n7ACy0SfVIs+ua0qtcZTajFJGheYtpHwd7XhQjusWell/foSE9IgBZhA+2G+3oGAxJ554LCeeGHTu\nLzOyYXW2Z0wblFEa9Bp3B76vMRobG4nH4y2yrLCQGvhMDzEej1NaWtqqh/irX91BQ0Mv9M7ZHhxn\nMkodi1J2B7R1KTJf5ZdydMlzoKear9CCzp8jxGAvM1yOLmulSnrlWgLVgVpK+64O4UieaegRg/9F\nqaBmqpngIsTMPLJfo0/aEymNJqtxPKhEm+52Bv4ORIlEynDdbiTvX/DvoxDPI0QvpAw6CF9NNLqc\ne+9dGPgawoA/GGbLKE3nxdce0m3I2xtn+DqgwwU+pRQ7duxAKUVhYSGRSCTUoOc/bzY9xNWrV/O3\nv/2DWMy2q/pCr/xmm0Zu+mS2lfu3A2uBMSjVK2Vw218mfRNQXjDsQvJhmjkIJy12bPcxjOTZVdh3\nSJiNUhKljrO8LiRJJzazX+N4sAohSrxBeIfM+qRlKfcvG/ujz1Dq47wG4UtK5nD11VclNCVtw/Yc\nX7renz8zzOTS7i+VpkNqxvd19uKDDhj4zCye4zjEYrGdJimklKK6urpNtRelFFdccQ2NjSdiV62+\nESHmow1KbZbf4p5Y9OnYFotOr/OpB7ehC0od7AuG1YlgKMSnSLkYEF5mYYxFzcM0LCk1I3l2FFK2\nrUSRO2IIsYRwdC0NY3YMYehxJsuQ5rrb0iet8umT4tvM9Eb3fFuWuZM9yaAEog0UF1cwduxPA75+\n10CmvqF/tCIej6dllKYrk+7YsWN3xvd1RDQaTXwJbAhVZ4JRezGzgF26dGmzh/j000+zdm2VN6Rt\nD0JMQoh9sW9Q+iI6ENnuk+USnARaqaMrSg3Gr2/pulUIUdHiYaqPLwOWooOhrTEG0yM72dJ6SYSp\na6mz30NCIZ3o6+7dThmyLX3Sz3yZ/TKS+qSdgSKk3EbwCoakrGwmd931O8rK7PpE+vFlKbf4g6ER\n3MjEKAU9yzd37lxc1yUajWZ8Tm3bto3vfve7rF+/nr59+/Lcc8+lDZLTpk3jxhtvTAyvjx07ts3X\nb926lfPOO49ly5Zx2WWX8cc//jGx1rBhw6iqqqKkpAQhBDNmzKBHj/zstzrcADuQKAUYYkunTva9\nwAxTUwhBSUkJNTU1dOvWLeOPYNu2bQwceCg7dpyL3uHawga039s1wB4W1zWD31eQXVkqW5gh52FA\n0Dm1dFDAc8BmhBiAEBuQ8nO080EnT0ezL8F6Ti5C3OMNZtt2jKgA/oH9+wfwAdrD8cfY98OrRPf0\nfkhwfVk/FHrUohL9mSxBb2KkT5KtF9nrk77NoYduZOHC2aEGpsbGRoQQeYtdh4V4PE5jYyOFhYU8\n/vjjvPTSSyxdupSysjKGDBnCkUceycUXX8yhh2oJuLFjx9K9e3duueUW7rzzTrZt29bKkkhKyYAB\nA5g5cyb77rsvQ4cO5ZlnnmHQoEEZX19fX8/KlSt5//33ef/991sFvnvvvZcjj8xZAnH3ALsfYbqw\nx+NxGhoacF23BVOzPdx66+00NR2E3aAHjvMCcIJHM7e57iTgSE/yyiZeQWdkto1rtwMfYnqGycxi\nq1dmq0CIZM8pEunkETD2R1Pz23p4G33IMNRIpgDHWb9/ydm3U/KYfcsMx3keu3qcAk2Q6Qx8iBDd\nvN5enU9bNlt90hglJfN48MEpoWdjqTqYuyIcxyEajXLllVdyxRVXcMYZZ/Dss8/y9ttv89Zbb1Fb\nW5s4dmd78RnYrsx1yMBnYDPwGYmx5uZmSkpKWhFXzLnS/dCWLVvGs89OIha72sq1JDEXbTlkm6a9\nIiRCS1jGtZlKeoLWZTYJbMV1Kz0Cxn+Qci46GJbjuiYzPASt7+k38bX9EF2CttexPw8IM1EqglJD\nQ1h7eYh6nDXAuyg1Gv0dMfqk/jlRfzBsKbQO5SjlMGLEKQwePJjGxsbQZ+R2ZaQ+k8y4RO/evend\nuzdnn312i+N3thefwZgxY4hGo4waNYrbb789tzeZBrsDX56Bzy8x1tbwe1vyaN/5zveIxWpxnEfQ\nos+90M38/QkeABo8geTzsCtuHfeo72dge/BbG+IeGkK/abUnZ3VRNleB9ibskULAMGzECm+92ejP\n1UUThj5BE3xszT+ZecD/w/48YD2wDKUuJOjsW2a4aKeLMIxxTb+6P1L2aeOoMlrL6TV4s4Qf4Dhv\n86tf/T+i0WgLFiQkWZO2guGu7s6Qen21tbW7nBff008/Tc+ePamrq2PUqFE89dRTjB49ut3XtYUO\nGfjMh+04TuAUOlVirL3h90yB79FHH6Wurgj4CUkHhI247nNAs1dy64xW0DiEbGfW9ANi/xAIEcbJ\nwDah5X2k3EJLtwEbkAjxKjAcLcAcBJnc0hcC83GcQ9CWSTO9oe1OuO4eJLUtgzDknkeIHiEo7Jjv\nht8N3iZeRpcjw9Dj/ITgHoElwAGUlr7FTTeNpV+/fi30NcMaGP+qGdHu2LGDU089tYVjgh8724sP\nSMinlZWVcdFFF7F06dLdgS8fBMn4MkmMBTnX5s2bue22X1BXdyFa9Pkg4KAWaiauW4kQFTjOBo/Z\npnxkjH7oYJjaR/kEpTbQvuN3rtgMrEGpVCujfCHRxrUjsG85NA0oJrigc2YI8SZKnYaUZm0ztG0y\nw5UJBRMhyn1yXoegy3OZsBk9D2j7cwbYgFIbUepay+tCuHqcZoD/RIJ7BH5Ip07buP766xIbXjf5\nY0sEt1wtiNoLhl+ljG9X8+JzXZft27fTvXt3mpubmTp1KiNGjMjnLQMdNPDl6sln4JcYy9WXL13g\nu/nmsTQ1HUpmVqRWM1FqoG9mbTtSVngza34yRrlHxjgQIRahLWvsyg7pUuRRITgZvIIOeLYJLTuA\nlb5+kE28is4i/Ndshrb3RkrD7nQ9OS/TMzRyXoVobcvu6MxwMIZZmSQO2f6cjRv8CUhpf0A5XD3O\nhV6/+oSAr3cpLZ3FXXf9vkWgikQiiczOn/EZpAuGfl1N13Xb9OPb1TO+dCa0u5IXX58+fRg5ciTx\neBzXdRk+fDhXXZW/IXeHHGfIxZMP7NgU1dbWEo1GKSrSfY+FCxdy1lnn09BwNfn1QnT/SWtcViDl\nu+iB9WIvy+iBziTzsZMBWA7MBG7Abm9vOzARuBT7jNZHgW5IOcrqutps9yHg++gSdK5w0VldpZcZ\nbkTK/yJEEUpF0QF7BHo0wuaM2WJgAfoe2u4brkVLzIUxGtHsjYucg94g5A7HWcrRR+/g9ddfaaFy\n4rpuImCZgJgaDP3PSFP69LdLzN/T+fEBFBQU5CwltrMQi8VazPq99tprrF271gqBZBfA7nGGTGir\n3GnTpsh/nng8zpVXXkNDwynkTwDw958OAt4BLkKpTmg7mU1IuRBtJ1PiBcO90PNOA8mO+NLsEVrO\nJBxCyyFIaTfowQfenN53La+rMxshDsZ1gwQ90JnhPsA+Pm3LOEp9DjyBEAeirYdm0tIC6ED0BiZI\nObgZbRsVhni2xHGmotTJoYxG6H7nXih1cMDX11NYuJCJE99I65mXGghNMEzN4IBEQPSXSlP7gP5g\nWFdXh+M4aaXEdoVg2BEFqqGDBr62PPlAfxlisRixWKxNibFcz2nO8+CDD/HFFwLd67EHIZ5DiAN8\nShk9cd2jvP+/GaU+84LhRqR8HaWm4DhlQCe0190gdNktlaTzgke0ONTq9WrLoWzZlrkgzBm1NSEF\n1AJgBUJ0Iem1F0dbABmn9EUo9YoXDMtTgmF72Xx44tnaFsghuC1QW9hCvv3OoqL5XHjh+Qwe3Pq9\ntyX3ZYJgU1NTwibIHJtNMDT/HolEEgPsqVJiQXQ1bSJd4MuGcPJVR4cMfH74A5KRGGtoaCASiVi1\nKTLnqaio4De/+T319d/HLnFhHW1b1kRJeqsd6/0tRtIkdiOu+wIQQzumd0ap3uie1doQhJclQrwG\njMiDbZkJM1CqIIQZNYnjvEJ+hqeZUI2eYbyUZD+yAM3i3ddnAdScEgyT2bzODPdEl7YHkczOwyTL\nGD3O8wnjcZIUFA/a7/ycaPQDfvOb9CzFdAgaDP0lUCMJBiRKoGZtE9zSSYm1pau5M5zaq6urOeig\ng0I9x66ADhn40mV8fomxXIkr2Z5TSsn1199Mc/MQ9KyYLUgc52XvgZyLZU0xmmXYL2X4VzNJdTBc\njmaSPu0xSfugM9V8iRevACUodVS7R+aGWuAtlLoI+zNqb6CHvu1nNrrkOziLkq/fD88E9maU+twL\nhpuQci5KveQrbe/wXmO/hGV0RHWZ3TZWeSMuQQXFFaWlM/nVr25njz3yU75pz0DWHwzNvxnndfOa\nVPKM+b9+ok17upq2g2G6jO/r7swAHTTwQTLgKaWor68HyEliLMj5Zs+ezZw5i2huzp+V1BImwzm2\n/UPbRRnQH6X647pL0dqIVyDlZk/Wy+9+YJRMDEU/2x/MdrT6xvexzbbUDuX9kbKv1XWhDliOUt/D\nfkBdg5RfABcGfH0UTQzqjeuaoGxK24uBLQhRjVJ3pvR5+6P7vEF7fpUo9SlKXRPw9W1B4jjTUGo4\nSgUdcfmAPfeUXHXVlVavzMDvmReNRhPPkng8niDAGS1MIG1m6GeTQvvB0E+i8QfDdIzSbJDrOMPX\nBR028PnNYKPRaF7ElWzQ1NTEddfdTH39cOySC3agM5yLsftAbkaI2WjlEK1kotTB+DUutazXJvTO\nfDZJx+090L2nJEXfj2R2E5QckgkftVPuDQ4dUA9ESrvmwOGVT3VmKMQGlDrdy6ybfH3eCqR8A6We\nT0h5JYPhALL5jib1OG3riILOrqN5VASaKS2dxUMPPbZT/DbNqJMRs0iVAcuUGfpnAf2kmKDBsLm5\nOVGCTUegSb2uVOzO+L7GUEpRW1tLQUEBxcW6DxJ27fyee+6jurozeodtDzqIDERK20aaUzwyRDoC\nTlLjUkqj0CFRarMvGC5Dymk+VuJe6N6TCJHQ8pLHLLTtUP4JSlUQTDGkPcwMkRjyGpr0YlTtC9Gl\n6j6+0nZjC13LJOnJBMN90MGwPy0ZwGHqcdYDK1DquwTdzEUib3LccUdxyim29WRbQkpJLBZLiNKn\nC7KpmaH/tX7zWD9D1E+igWDB0E+g8QfD1BLp7oyvg0AIQZcuXRLsTf/Aahj46KOPuP/+B4nFLre8\ncliU/SrgQ6T8AdmTIRySw9vmQRv39Z424rpz0A+1CI7zlPdQHYgOiPl+FWeilCAMh3LHeRGlTiK4\nYkgm1KPLp8Ef8JlRA7xD+8P7RWhN2P1TgmEVyWA4DaUmeQzgco9oshoIU4+zbx6SajuIRpfywAML\nbV5WCxheQCwWC1wxMkEo12Bogp2/Dwgt2aQmyLUnyQbai2/OnDnU1tailKK0NH1pOSwvvjfeeINb\nb72V5uZmCgsLueuuuxg2bBgAb731FmPGjCEWi3HmmWdy//335/QZZ/zsrazyFUSY1kQGUkrq6ur4\nwQ9+RHPzsWTfA8tqdRznFYQ4FdsDw44zGcc5htx96VJRgCZVDMV1RwEHIURn4EKk/AaRSCNCvAKM\nx3HuRYi/ohVRPkIP5meLOrTo8jnYDyCzUUqiVFDFkMwQYhKO0xc9QmJ77X/jOAPQGV6uKEI7UJyA\n616AUjcDtyDlKKQ8BD2sHgdexnHuwXH+gtboXOP9PR9sQqmNSHl64BWKi+dy1VWXc8ABYWiRJp1Y\nGhsbKS0tTRik2oAJhMXFxZSVldG5c2fKy8spLi7GcRzi8TixWIy6ujoaGxsToxCRSISCggIKCgoS\nRDoT4Exp1QTFoqIiSkpKKC4uRghBNBpl+/btTJo0ieXLl9OjRw+GDRvGT37yE1auXJm4tgkTJjB8\n+HDWrFnDKaecwvjx49N+Ntdddx3Tp09n1apV/Otf/+KDDz5o8/V77rknU6dO5Z133uEf//gHl1yS\nJDNdc801PProo6xdu5a1a9cyffp0K59zh1RuARISOE1NTTQ2NlJe3pZ2Ym7wC1i/8cYbXH31LdTX\nX4HdBHsqQnyK1ly0uX9ZAsxDq3vY3M23pXbSgCbRVBKJbMB1K4AmT5PUCHQfjKb2p3O+eBwhipAy\nKDkkE2IIcR/a4cK22Pd64CngR9hnW34EPANcjxaMtgmjtDMGbYxbBVR5Gf0mtP2P3wtvALrfm92G\nxHEeAg5GylMDXt8munR5gTVr3rf6m4aWWV5hYSFFRUVf6uB56tC9lDJjZugvk/rXiMfjiaCqlOLM\nM89kypQprFy5khUrVjBs2DCOO05XUQYNGsTcuXMTAtMnn3xyIqgZLFmyhF//+te89tprgA52QgjG\njh2b1esBevToQVVVFVu2bOGUU05h9erVADzzzDPMnTuXP/3pT9l+TLuVWzLBZsaXKmDtOA433XQL\n9fUjsPtRb0eXsWyzIpvQVjhnYbuE5TjPkZnQUkJrG5katFuFGavQAt2aSdoFnZEMBmrT03xZAAAg\nAElEQVRRalMo/TddctsP+w4XRjPzm96IiO21X0ap/w2h15nO1/AA4ADffatvUSZ13RfRs6Fl6NnQ\nfdHl7b60DobLkLKO4P6RkrKymdx11++sBz2j4iSlpKyszNp8b1AYZ4l0GqJmFrCtYBiPx2lubk6o\nypjssLq6mr322ovTTjuN0047rcU5d4YX36RJkxgyZAjRaJSKigp69+7dYq2Kioo8PrUkdgc+S4Ev\nHo9TX1+PlDIxFjFu3O3U1e2D7VKWDiKHhMCKnOJJQ9lW98jFD89AC3RDS4Fu41YhxDqknI8O/IXA\nVJJizzZ6cZtQan1IVP0FSNkEfDOEtU1p1n6vM6la01ZmXUrrTUy9t4kxmeEUkkIJ5Wj/yQEei/gM\ngm+63mO//cq56CJ7xCkjatHY2EhhYSGlpaVfWpbXHnIJhqAZpdOmTaNXr14UFBRw2223sW3bti/N\ni2/VqlWMGzeO119/Pa91s0GHDXy2enypzuum/LFmzRr+/Oe/0tBge2bvPW+o92LL61YCHyHl1dhX\naMnXDw/0NXUDuqHUId5YxWzgbeBUT+z5HaR8A+18UI52PjgIHQxzE+h2nOdR6niUsk3Vb0KIBSj1\nLewaBIMWJ1+CUt/B/k87n7GLdJZbdST9Jzfhuv9EKQfHmYlSy7zMMBcz5kZKSuby8MOT8pYXNHBd\nl4aGBoBdIssLAn8wjMfjNDQ0UFBQQGFhIVJKFixYwPz58/nwww854IADGDFiBEOGDOGSSy5ppdkZ\nphffpk2bGDVqFE8++SR9+/ZNrLVx48a0a+WLDktuMTCN4FxhhlWrq6txHIeuXbsmmsVKKa688loa\nG79J275rucJFiGnAadhV7QfHmeIRWmwqyoCm1Ifhh9eA7keejZa0OhMpfwjchlKXIuWxOE4J2qLp\nboS4G8f5EzAFeA9oamPtRUgZQ6mgJbe2MBkh9kE/1O1CiCkI0RvdV7MN23qcWigB/hfX/T902fNC\npDwLOJBIZAvwHPB7HOd+4FFgBro32vr3Go0uZsSIYRx7bP4iDqZHX1dXRzQa/coGPQPDXq+vr0+Q\nZqLRKBs2bGDdunWMGTOG7du3889//pPjjz+e999/n3i8NUnJeOkBWXnxNTU18cwzz3DOOee0+frt\n27dz1llnceeddyb6iaADZZcuXVi6dClKKZ544om05wyCDktuMcOeSim2bdtGt27dskrdTemjvr6e\naDRKSUlJqx/F3XffzS9+cYfXKzsYewPrLyBEFUpdjd09S1h2Nfna92SGEE8gRAQps8l8m4HP0f3C\nTUi5AaVqfPT8nuiy6oHozcV9KHU2QS1wMuMz4G/A1eTPmE1FJfB34Ie0NibOFzHgPuB8dOZmF9o+\nag+kPDfNv9YAlQhRieNsxHUrgTiRSCdc1xCfelFc/BqLF8+jd+/eaRVSsoU/y0v32/6qwQh1OI5D\nSUlJoqf3t7/9jcmTJ/Pwww+3KG22ha1bt3LBBRewcePGhJde165dW3jxgR5nuOGGGxLjDLfeemub\nr//d737HhAkT6N+/f6K0OmPGDHr06MGKFStajDM88MADubz9jDe/wwc+yM6TD2ih55lpWFWLvA6i\nvr4nUlYkHrC6sd8LvdPvS+6BawvwCHAZmt1oC00IcS/5eJ1lguP8DSH28EYZbGID8CRwLcFHRBrR\njMSKFozE5H05Cr1p2Q9bmwzHmQgchJQjrazXcu2H0EIG+btTp0KIfyKEQsrR1teGdejM7sdkXx3Z\ngbl3jrMRKT/lkksuYeLEh9LaC/kDYaZgaLK8pqYmioqKAnlu7krwv5/i4uKEFOPGjRu5/vrrOe64\n47j99tsTrhFfU+xmdaaiPWsiP/xGtO3ped5++y9pbj7IK9+AdkAwvYz1uO6/gWZvx9oV3cM4lPYy\nAK3QcjjaPsgetMhwT4J7nWXC6jz1JzPDcV4gfxdxM6vW19d3+hQ9YnAckUgVrrsSiHtjFV3Q92ow\n2ksvVxilk5PzuOZMMGzIMFRUjB7nD0NYG5+PXy4tgc7efwOR8mP23LOR++67t11HBTMQnhoMQQ9x\nO45Dp06drPUIvyyYrFUIkXg/UkqefPJJHn/8ce6//34rJeGvMjps4PMjU+DL1Yj2nXfe4amn/kUs\n9gPfX4tJUr5Nz2gHrluBEJsQ4mOkXAhEPKr+Huhy0iEk+3grkXI72qXcJipQ6mPvoWaX0OI4r6HU\nqQGIEO1hvseItN9/c5xXgaFIOdwXDHcgZQVCVOA463FdLdCtg2E3dPA8lLYzzzhCzEKpMJRO4hbY\nkJnhOFPQepy2y6eg+4aK4OLqLmVls7jvvrsoKWlNXmrPXsgISJvymhCC5ubmwGXSLxt+Bqo/a/3s\ns8+48cYbOeigg5g1a1baz6qjYXfgo3XgC2JEq+vZ1xCL/Q/tE0/0jjUp+iyBLbhuBY6zyWO1TUOI\nErQy/XbgMGzfLv1QOy6Eh9o0lCoKgdDSiBALUepc7DMilyNlDfC/KX9P3qvkWMU2pKzwmKT/Qco5\nQNTL4o1A9yEkFXVeRhvMZtdLyQ0voQfgD2vvwABYHmImaRioowj6vRbiLQYO7M23v/3tHF6jg6Gh\n+UcikYReb3uZ4a4cDP29SZPlKaWYPHkyDz74IHfffTf/8z//s8te/85Ghw186Uqd+RjR/uMfj/PJ\nJ9s8QkuucNClzj2R8gjvb3GU+gx4EShCiA9RaoKvX9gbXXbrTbAe1EKkjAEnBXhtW9gBrPQ0Iu0S\nA3RZdl+Uss1aNBnZGSTNWzNeBVqxZI8WAt3w34RAt1IrUGo6QhSjGa3bkfKb6L5ie+vngm3Af1Dq\ncuwbzLohZqmgZ0bzuZcNFBUtYOLEaTk9zM2m1owfGYkvIFCZ9MsOhpmyvC1btvDTn/6Url27MnPm\nTOsD/V91dNjAB8mAZ5QM/DM7uRjRbtmyhbFjb6Ou7gLssS0L0A+c7cCVKLU30OD1Czd5hIynAdcr\nu/l98drL4BoRYj5KfRu7LE7dixRiEK4bRCOyLWxCqU9CKMtC/lmTA+wF7JWycfkCeBrojhCrUGqh\nz/Vgb/TYwQCC/gx13/cwj5VqGy+hhQDCyFI/Bz72RNCDoahoPuedd27WjEQg8RuPRCLt9vKycWH/\nsoOhmSGG5JyhUorXXnuNCRMmcMcdd3D66afvzvLSoEMHPiBR6zeq5EHYXD/96TgaGwcBdh9A+sE2\nxHtIQmtpL4W/ByXEGqSchxAFni+ef4A7qbiezJzsWiSF5xZhvN/CKMtuIZysqQC9aWkCrvVK1k2e\nBZAZq5iGUpN92pZmaLsf7W+gViPlf7EvZAA6k1yNUpdhf5NhSuxHIWXQkY4vKChYxW9/+3RWR6dm\neblsav1oKxj6tX/9wtFhBMNMmqE7duxg3LhxxONxpk+fnrfr/NcZHTrw1dfXE4vFEl/MoqLcSzpv\nvvkmL7zwMk1NV1u+umVez2lYG8cI9K68C0oNTvQLW/riLUHKV0k6b3dGqY9CIrS8EhKhZVFIZVmj\nPXl4CFmTRIjX0Io1ZtORzg+vwdO2NGMVk2lfoNtPHrIrZAB+PU67DGKNdz2iVmovNVsoSktn8fOf\n38aee7YfOI1BbEFBAeXl5dazn0zB0D9SYTMYptMMVUoxb948fv7zn3PLLbdw3nnn7c7y2kGHDnwF\nBQV06dKlhSNyLojH41xxxTU0NAzDbu+m2euvnBlg3XS+eM0oVYVSlcAs9G1/xNNK7IxS+6GzwvTu\nB9lhOkoVhkBoaUKIed6coe2Zo/eQcitwSbtH5o7pQDafRwmthZ5rUwS6l6ODnRmriCOlA9j+rEHr\ncX4BfC+EtSVCzECp08hVQi6JtXTr1sgPf9j2RtMYxMbj8Ywzt2GhPc3MTMGwoKAg4aWXitQsz2iG\n1tfX88tf/pLPPvuMqVOnJkSgd6NtdOjAV1RUhJQysF7nn/70Z6qq4thn1E1BiB4odail9aLoTGM9\nOnjcADQjZSVCbPKsgFag3Q864brd0OW2Q8nOMmcH8DZKXYx9P7wpCLF3CHOGEiGmeQ/h9MabwVFL\n8vMIspHohOn/JUva1V4w/Ah4xzvurpT7dQj5WRzlo8eZDabR0hE+V8QpLZ3FxIl/brNcabK8aDQa\nSpYXBLkEw9SsEKCxsbGFy7tSiqVLlzJ27Fh+9KMfMXr0aOvzh1dccUUimL777rtA22a048eP57HH\nHqOgoIAHHniglbvDroQOq9wC+XnyVVVVceihR1BXNxq78lNVwGPADyyvG0OI+71RgHS9Pe1+oNUw\nNgHrkfILn+BzD5L9wpZZqBCPIkRXpPyOxeuF5GdxNfY1RF9GiI1eydfuA0OIvyNEJ6Q83+q6eu3H\nEaLYW3srUOmNVaxHys3e/erk9ULNWEW2gX0mQryHUtdjfwNTC/wR3ZPcP9AKkchiTjghzrRpL6X9\nd5Plua6bYGx+1ZAaDA3/QAjBJ598wvLlyznssMN46aWXPCH8P7ew7rGJBQsW0KlTJ77//e8nAt/Y\nsWPp3r07t9xyC3feeSfbtm1jwoQJrF69mosvvphly5axadMmhg8fzrp1677sTcdu5Za2ECTju+GG\nn9LUdAS2NRcdZzJ6YNjuutpbrncbhJak+4GUJtN0UWozSumSm5QLUGqqj5nYEyhHqc9Q6gKr1wv+\nz8J20KsG3kWpS7Gv0/4RSlV6wcM21qO9B3+Evu4eQA+kNMxGc7/MWMWbKPWa19/thJR7oYWhB9G6\nbBwDlqLU+dgPeub7dxBSBgt6UEs0upgHH5zX6l9Sy4A2HdF3NkxmGIlEEuor5v3EYjFmzpzJXXfd\nxRdffMERRxzB+PHjGTFiRE6zjNnixBNPZP369S3+9uKLLzJ37lwALr30Uk4++WQmTJjASy+9xIUX\nXkhBQQF9+/alf//+LF26dJdViNkd+Mg98M2ePZs33phLc3NwOnZ6LEbKBoI3/jNhA8G85SJoea59\ncN2jvL81JcgYjrMeKd9Dl8j+5vWf+qCzjHzJIsuQsp4whqeF+DdCDEZK+zvlcE1g2zOvTd4vKYd4\nf2tGqc+9zUsFUs5CqRcQotTL5I1L+jIcpw9S2heh1gG7gnzMgouL5zJmzCX079/SFHhXM4i1AX+p\n1qhFNTc3M2/ePGpra5k9ezZ77713wiW9srJyp11bJjPaiooKjj/++MRxvXr1smYaGwY6dOAL4snX\n1NTED35wHfX1p2KXbGHcz+2TOLS25TeR0ga9uRBdqtofKasRohylLvMxE9fjutpxWUuwdUOTNw4h\ne4NYQ+75P+wPT3+AUl+glH0N0XBNYBcSzLw2ihY56O0jzzQmyE6aPPMCOlssQoi/kRRTz9YLr20k\nA3ZQg+BKCgs/5he/eDHxl0xkj68y/GMXfkLOmjVruPHGGzn77LOZPn16IrifdNJJnHSSfaZzLviq\nfuYdOvAZ5BL47r33frZsKcK2n1p4YtFzkbIZ+27fNSQJHOXef34yxraEBJtmT85EiEJvvtBfcksX\n2J73yD2HWL5mieO8GtLIRcyT4DoP+z8rY157Dnak2loKdGtnhwORsj9JJulzJMXUTSY/mNwz+UVI\n2Ujw75+irGwmv//9HQkSRbrB7a864vE49fX1LcYuXNflkUce4eWXX+ZPf/oThxxi+/eQOzKZ0YZp\nGhsGOnTgS834TBM5E9avX8+dd/6BhoYx2J2B20Q4YtENCLEI7chtV9tSiOcQYkCGnk06WS8Xpb7A\ndTd5w9uzUepFnyfevuh5tU7AOqS8CvvD06+jVEEIIxdm47IfSvVv/+Cc8TxC7IVS9s1rk84Op6AD\not8lfQeuW+kJdG/AdZcAwucs0pe2lYKaPYWgswj+/Xufnj2LuOii7yWsxFLlub7KyDRc/+mnn/Lj\nH/+Yk046iZkzZwYeurdxff6kwJjJjh07toWZ7DnnnMPFF1/MTTfdREVFBR9++CHHHGPLtNg+OnTg\nMzDK7O0FvmuvvZHm5qHoh7o9OM4UlDoepeyqkuheVh/sa1uu9fpGuRBaIuhsoSeuO9T7W2OKZZMe\n3tYPyVfQpbZD0HOJ+aIOWIFSF2GfvFGBtu7JtYeaDT4HPvTkvcLQ42zL2cEIdA9KyeQrWygFtXQW\nMWXtcrTObHeC+zw2UVIyh/vvf5ympiZisRhAogRoRKa/qsEvnYSalJLHH3+cf/7zn/zxj3/k6KPD\nmNXMDhdddBFz5sxhy5Yt9OnTh1//+tfceuutnH/++Tz22GMJM1mAwYMHc8EFFzB48GCi0SgPP/zw\nLn1fOvQ4gxF4Bdi+fTvl5eUZyyavvvoqo0dfQ339ldjNnuYBy9BGnDbXXY/2lsvHrDUdJI5zvxeo\nj2//8JywAngd+BbacXuD57jt+PqFhqKfm+iuEP9AiFKkDIN9+iAwGClPDWHtPwF9kfIM62vD8zjO\nF3kGVe0soslOFcAGpNyM7gXHgV7A4aQbg2kPBQVzOe20cp588u80NTVRWFhIQUFBC73MXVE4uj34\nTWL9WV5VVRU33HADgwcP5o477ki4RuxGYOweZ2gPmfp8Simqq6u5+urrqK8fgd3gFEPb7IyyvK4h\ntJyYp1lrOphyoe0yRhwhZnrZx8EkbYAkOsvY5D1Y30LKGQhR7LES90KzEgeR+TP8yGMVhjFisMRj\n4oZBMliJlNW0LVsXFFqPU8p89TjTOYu4wMNAVyKR8sQYTFI2zy/QnemebaegYDm/+c0cXNfNKCqd\nSSszNRBmUkTZ2TCm1n7TW6UU//73v3n44Ye55557OPHEE3eJa/06Y3fg85Au8MXjcerq6njiiSfY\nunULjrMRKSV6F5u/RqIuRe7XxmxdUMxGKRelwiC0hFUufBGtOpKqtu+gy2XdkfJw729xH0V/I1K+\ngVLP+yybeqEzjD6AE+KIQbPHxP0/7MupuQjxuqcsY3/nH64e5zr0d+VyXNf8Tpq8ec9K755Nxwh0\nJ3u8A9Gl0gglJbO56qorOeCAA4hGoxkDQXtamcZs9ssOhv4sr7i4OPGeNm/ezM0338w+++zDrFmz\n6NQpDMWc3UhFhy51gpYCAqipqUk0zI2po6EVNzc3M2fOHBYvXsKcOYtYtepdIpFSoDd1dXuh6eL7\nkNs+IqxSZANwP3AemjlpD0I85u3YbSuSbAEeAS4n+PxfDDD6lhtw3U1AM/qeNKIzssOwKzjwHI5T\ng5Rh+OG9hBCbQlGWgTXAZHR53faD1pTCT8hirMPcMzNWsQloxHHKKC11+OijD6wFgkyKKP5AaLz5\nbAdD8zwxw+gmy3vllVe4++67+d3vfseIESN2Z3n2sbvUmQl+UouhSRvWWNeuelC4oKCAkSNHMnLk\nyMTx//nPf1i4cCGLFy/jzTfnUVm5npKSXsRi+9DU1BOdFXYj02evbXbslyJ1FtnXo6bbxDpvx25f\nhkvbLx2Rp0NCMa3Fnr8A/gYcgeN8jJSLgAKPlei3bAqSvW9Gs0+vxH7QqwbeC0lZxox0hKXHOQul\nIig1tP1D096zGhznr/y//3eL1ewnnVZmqreeIc+k6xcGCUqZTGK3b9/O2LFjcRyH119/PfGc2Y2d\nhw6f8ZmeQE1NDa7rEo1GE7syKaVX2kwyP13XJRaLIaWkuLg4sUusra3l7bffZtmyZcyevYi33lpO\nLNZINNqH2tq9vPJbL/SPfRZCrESpH2N37/EJ2vj0R+QnVpyKMAkt7wCvAjcSXLE/PYR4ytvQGM86\nPxHD6JFuSek9DSQbc1jHeQTog5RnWr1mvfajCNEN1x1lfe1w9ThNteECNAkpdwjxFocdVsmiRXO+\nlAwolThjXFvSlUnbgsnyAEpLSxNZ3pw5c/jVr37Fbbfdxre//e3dWV64yPjhdvjAV19fT21tLVJK\notEoZWV69++6bsI2xGR5Zt4m2xmiiooKli1bxqJFS5g7dzFr166iqGgPamo2ozONY9HO3XYeQDo4\nDUEp2zJf0xFijacRafNh6SLEvSh1KjCk3aNzwwbgSdovJTcDn6HLbRuQciNK1fn6hb3R96o3yewr\nvGCt+2PPocuQuTFX24cJTOejs127aL3RyBUxSkoe4fXXp3LkkUEdHOzCzLH5S6Su6yZ6i0ZX02SG\nmbK8uro6fv7zn7NlyxYefvjhrLwE88H48eN56qmniEQiHHbYYfz973+nrq4uo7PC1xS7A18mbNu2\njUgkguu6KKUoLi5OWBUZmC9yQUEBxcXFge0/4vE477//PpMmTWL9+kqWLFnK5s1VlJTsR3393sTj\n+6KzwiBfxlkI8Y63k7eZRRpV/YvQA8s28QJCVKHU1dgu6TnOH1HqMJQKwohsQPeeNnm9p40k/fA6\nowPlN7GvIypxnAdQ6liUOsHy2jYCU1uoAP6O3mgEm3MtLHyDc8/ty2OP/dnmhVmHYZKmZob+Z0Zj\nYyMlJSWUlZWxZMkSxo0bxw033MBFF10Uepa3fv16hg0bxgcffEBhYSHf/e53OfPMM1m9enVaZ4Wv\nMXb3+DKhU6dOifKlYX+ZXZyxORFCWJFGKigo4IgjjuCII45I/G379u2sWLGCpUuXMXv2Qt55ZwZS\nOkQi+1FTsyc609iXtlmD9cCb3kC53Vuqe4b9kbKv1XU1nX4VSo3Bfh/L6FqeGPD1JehS3YG+we0d\nSLkJbeRbCCxEiBU4TidctxxNJBpMfhngHJQihFERgEqCCZVnBz0+c2weerD/paDgXcaPf8LmZYWC\nVCapyfJisVii9fHMM88wbtw4evbsSTwe55prrmHAgAE0NTVRVGRbf7YlOnfuTGFhIXV1dTiOQ0ND\nA7169WL8+PFpnRU6Ijp84Hv33XfZf//9E3YmUkpqa2sTX2rHcRLGj+0puwRB165dOfXUUzn11FMZ\nN07/iD799FOWLVvGggWLWbBgCR9//AzFxXvR3NyTWGwfdFbYAxMwdHDqh5TB+iqZsY6wLHY0oeUw\npLSt59fkyWR9C3uzkYJkFh4DZgJHo9RqXHcZjrMApRag1DSE6IwQJZ6t1EB0QMxmwxRDb17OJ4yf\npeNMIb/A1BZWIGUt+WTApaWzGDdu7FfOQdzvDtGpU6fEc2Po0KEMGTKEkSNHsueee7JixQqeffZZ\nBg4cyLPPPhvqNXXr1o2f/OQn9OnTh9LSUk477TSGDx+e0NiEls4KHREdPvA9++yzvPnmm0gpGThw\nIDU1NcyaNYvFixez9957J4ZjjcGlUYkwWaHtWSAhBP369aNfv35ccIFWGWlsbOS9995j6dKlzJmz\niKVLX6S6ejvFxX2orS1Dyg0odYW1a9CQ3vzbsBDm395Hyi3AaMvrAkxGiH1C0bV0nOcR4hxc13iM\nHYYO3pd7/7sBpd5GqTeJRObjurOBKThOV5Qq8c0X7ktqlqv96vYLyRbIWDyFMWTvesIDIwnupLGO\nLl3quO66a21eWKjI5A7R3NzMH/7wB5YsWcKTTz7JAQcc0Op1YePjjz/mvvvuY/369XTp0oXzzz+f\nf/7zn62eUx2ZWNPhA99dd91FPB7nL3/5C7/4xS84+OCDOe200xg9ejTdu3dn6NChHHPMMQwZMoTy\n8nKUUsTj8VaDsf4md9AeYCYUFRVx9NFHc/TRR3PttfrhsHnzZlasWMHLL09l/vwGKiqeJhIpRYhe\n1Naa2cKeBL/Fb3i0dNtGkhIhpqHUCLJ3Bs8WnwEfI+XV2B8xWIOU/wXua+OYEuAE4ARc9ybvb1uQ\nchlCLCESmYPrPgu4RCJdcN1SoB/QI8QypNHjPB37Fk8AU9EknFThgWzhUlY2i4ceeojCQtsiAOHA\n7/Tutw/6z3/+w0033cS5557LtGnT0rZGdkawWb58Od/85jfZYw+d3Z977rksWrQoo7NCR0SHJ7eA\nttC4/PLLGT9+PEcdpQ1XlVJ8/vnnLFmyhCVLlrB8+XLq6+sZOHBgIhgOHDgwMeLgZ335XZR3lnag\nlJJ169axdOlS5s9fzIIFi6moWE9Jyb40NvpnC/eg/aBQBzwAfA/9YLaJlxFig/eQt01omQgchJQj\nra6rs9+HUWocSt2c51oK+BRt/LoQmIeUq9AKM529EqmRYLOh2PI8jrM5JLeLHcCDwKXojVbucJwl\nHHtsA6+//spXIgPxm8QWFxcnfv8TJ07ktdde45FHHuHgg21bi+WGd955h9GjR7Ns2TKKioq47LLL\nGDp0KBs2bGCPPf5/e+ceF2WZ//33PRxkxkMqKiTQmivgIU22wbR1Q82snvWx/K0d9mnTLOrpYCq2\nReW2m4+tYuaJWjfTPFSuWrYpm6u2HvDIYTiEIuKWKAgqlhLIcZi57+ePmbkdjsJwD6Bc79fL1ytG\nuLjIYb7zva7v5/PpSXR0dIcfbhGFrxlYLBZOnDihFsPs7Gw6d+7MXXfdxYgRIwgPD6dnz551xp9r\n2yW5yyHC0Y06HN8VRSEjIwOTycS+fYdJS0ulvLwCb+/bKCvrY79fC6D2QIYkrUOSOrvB0LkY+BCY\nCgRpvLYJ2+DJbLTvbP6DJBWgKP9Fa09Vm6fla8CTwEW7nVceivIzOp2Ba3ZeA3HYeTWdIvv607Ed\nr2qLTrcW6I4su6o3LMPHZxVHjuxn4EB3RC5ph6IoVFRUYLVa0ev1apeXk5PDzJkzue+++4iOjq4h\nkG9LFi9ezPr16/Hw8CAsLIw1a9Zw9epVHnvsMc6dO6cmK9zk4nlR+NyBw8A6OTmZhIQEkpOTuXz5\nMv369VO7wqFDh+Ll5VVHBwTUKIQt7QqdhfXOv5i1OX/+PCaTiYSEJA4cSCA7+zje3t2R5QDKy/2w\nPVd2A69gi6XRDp1uDTbPzcmarmszuF5iN7h29citIcqxFY9tgNbpC2Ykydd+Pza0zt9ds/PKs0sq\nKu2SCkcw7BAas3jT6VZjM49+RON9A5wGNtMSvaGPz06efHI4sbFLtdyY5tTX5cmyzNq1a9m8eTMr\nV66sMaktaDeIwtdayLLM6dOnSUhIIDExkWPHjuHh4cGdd96pFkNHMrFzIXR1cADBQPwAABu6SURB\nVMYVYb0zFouFkydPYjKZOHDgKHv27KGkpIguXfpRXu6PxXIrtmOsbrTsqCwb+Cfu8YfciiQVoSja\n24fZtG8DkeV/abqujd9jS1Z/lqbtuxSbXq7Anl94HlswrCOyqT9wB7Z/K3f6cTrMEowoiquSkQt0\n7folx4+n0atXr3Z5zOn8u+V8l1dQUMDMmTMZPnw477zzjtvlCQKXEYWvrVAUhfLyclJTU0lKSiIp\nKYn8/Hz8/f0JDw8nPDycsLAwVUrhfF/Y2OCM81RZS4X1tSkuLq6lLUzDYgEPjyDKyhz2a31p+pGi\njE63DEUZ7YZhGYfB9bPYjMK1JBdbV3MSWyiulpzGljjfkn0rwBXgvJMFm3MWXndsk5wD0TY9wpEh\nOQvXhqcUDIaN/OUvzzNt2tQ2T06oD4vFQnl5OZ6enuj1erXL27x5M6tXr2bZsmXcc4/2JgMCTRGF\nrz2hKAr5+fnqXWFaWhpms5khQ4ZgNBoZMWIEAwbYxtprD87odDp0Op16XOocZOnO/ebm5qrawkOH\nEsnJOYWPT+9a2sLe1D+wshNJ+gFFeQmt/SHd65m5EkV5EUV5xw1rDwM6IcsTNV7Zii3i6QweHrfb\n7wtLnOJ/ArAVwttxbbjIbLeZe8S+jiuc4Pbbj5GRYVLvomu7oDgXQ+erAHcXQ+cuz/l369KlS8yZ\nM4fAwEBiYmIwGLSeSBa4AVH42jvV1dVkZGSoxfCHH36ge/fu6uCM0WjEarWyYcMGpk6dil6vV62T\nWmNwpjZms7mGttBkMlFUdBkfH9vgjNXaF9sRqYJt8u9JtO+a3OmZeRjIBHLcsPZWbBrGWWgv6ajE\nJrlw9uOsom5kk9meUnELtn+XIUBTxONb0OkqkOVpuHasXI1ev4qvvvqUiIiIBj9LK7Po5uA8GOY4\nQVEUhbi4OJYuXUpMTAzjxo1rl8eygnoRhe9GQ1EULl++TFJSEkePHmXbtm3k5uYyevRoJkyYwD33\n3MPgwYNVn1Hnu0LQdnCmqVy+fBmTyURSkq0YHj/+HVVVVXY94L3YusJb0WYy0p0G12Yk6UMUZQOg\n9WCIjCT1BkY1MbqnedjuJEGWr2cOcBUoQJLykaQ8ZPkCoLPfF/bEZtk2hJr3gz8CHwPPYTNXbz6e\nnocYN86Hr7/+ollf15hZdEulQ84hsc5dXlFREa+99hp6vZ6lS5fe7IbONyOi8N2o/Pzzz4wfPx69\nXs/y5cvR6/Xq4ExWVhadOnUiLCxMHZxxiFKdC6FjcKb2XWFraAvT0tLIysri6NFkjhxJJC8vB4Oh\nL5WVfnZtYSBN0xbWJs4uMdDe4Bo2o9P1RpYPuLCv6xGFJH1mT7rQet8tMYqWsd0XFqDTFQBnkeWf\nkCQfdLquWK1+QB6SFIwtcd4VitHrPyE1NZFf/KLl3X9DZtGOITHHG7/GnutWq5Xy8nJ0Ol2NkNi9\ne/cyf/58/vznPzNx4kTR5d2YiMJ3o6IoCnv27GH8+PF1fvkURaG0tJSUlBQSEhJISkri4sWLBAUF\nqYMzw4cPx9vbu97BmdrvlLV2nKmP0tJSTCYTycnJHD2aQmpqKuXl5Xh7B1FW5mfXrAXS+PHiz8Df\ngKexdZFachHYAKTh+h1WQ1zCJkP4P2h/7As63YfAQGR5vEYrWoBCbJ1hOopSaP8+XVCUrvbIpkHY\nfqbrP3f0+jheeGEs7777/zTaX12ud1/o3BWazWbMZjM+Pj54eXkhSRJXr15l7ty5lJeXExsbS69e\nvdy2VwfFxcVERkaSmZmJTqdj7dq1hISEdLQIIXcgCl9HQZZlcnNz1UL43XffIcsyw4YNUwdnHO+2\nax8bOb9T1tpxxnkK1VkPBXDhwgV78U4iPv4I2dmZeHndYtcW9sFW3PxwTBC6U5+m030MPIYsN2ZN\n5hqSNBpJKnKDMQC4V8Av24+Vx2CTSzjuC3OxWgsAi5O+sB+2I9LaeXN59OjxDdnZxzVNVm8K9R2R\nOgznq6urOXjwIOHh4Zw9e5Y//elPzJkzh8cff7zVurynn36aiIgIpk+fjsVioaysjAULFnS0CCF3\nIApfR8Vxf5Genq4OzuTm5tbxIe3SpYv6AuF4cdBqss45jdqRWn+9z8/KyiI1NZX4+CMkJiZz4cI5\nDIYgyssNWCyZ2GQAfdH2KDIV21DLWbQW70M8MAGYgWt5i41hsRemB9FewA/XpnIbOp4t4dp9YS6y\nfBHwtA/P+AIDMBiOExv7Z37/+9+7YX9Nwzkk1tvbG51OR15eHlFRUaSnp1NZWUlERAS/+c1vCA8P\nZ+zYsW53YikpKSEsLIzTp0/XeHzgwIEcOHBA9dUcM2YM2dnZbt3LTYgofIJrNNWH1CGbqG9wpnby\ndEPfpyXiemdKSkpIS0vjm292cOhQErm5Z6iulvHyuo3S0t52bWEArnc7ViTpAxRlBTZLNW3R6QJQ\nlIH2IR+t+RpJ+hFFcYcfp8O3tTlBxDI2fWUBOt05FOUkvXp1JyfnVKscp9eH85svg8Gg7iM1NZXX\nXnuN5557jjFjxpCSkoLJZCI9PZ1du3a5XSqUkZHB888/z+DBg8nIyMBoNLJ8+XICAgIoKipSP69n\nz55cuXLFrXu5CRGFD2DXrl3Mnj0bWZZ59tlniY6ObusttRsa8yF13Bf6+vqqn9vY4IzDuLeiokJz\ncb0DRVE4d+4cJpOJI0cSOXgwgR9+OImPTy8nbWEgDWsLa7MNSZJQlFS0Lx4L7X9mor3Xp3v9OCXp\nUyTJG1l+wsUVKtHrV7Fr1zaMRqOme2sKzl2e85svs9nMokWLSEtLY9WqVfTr16/V9wa2wjty5EgS\nEhIwGo1ERUXRtWtXPvzwwxqFztfXl8uXL7fJHm9gROGTZZmQkBD27t1L3759CQ8PZ/Pmze3eHLet\nqM+H9KeffuL2229v0IfU0R06nlNeXl54eXm12uCM2WwmMzMTk8lEfPxRkpKSuXLlR/T62ygr88Nq\ndUyR1vaWLAJWA4fQXhpRjiT1RlEmof2wjOO+sw+y/LDma0Me8BnwMjYXmObj7b2PiRNv5bPP1mq5\nsSYhyzLl5eWAzejBERN04sQJoqKiePzxx3n55ZfbrAsFKCwsZNSoUeTk5ABw+PBhYmJiOH36NPHx\n8epR59ixYzl58mSb7fMGRRS+xMRE5s2bx86dOwGIiYlBkiTR9TWD+nxIPT09GTZsGMOHD+fEiRMk\nJCQQFxeHp6enGuLb3BFzLbly5QopKSkkJSWzf/8Rjh//DvBGpwu05xYGoNP9B7gfWXbHi/P/Rqc7\ngSxPxR0Zge7144xFUe5AUca5uMJlDIYNHDuWxq23NmymrTW1Q2I7deqEJElYLBY++OAD9uzZw0cf\nfURoaGir7akxIiIiWL16NSEhIcybN08t1h0sQsgdiML31VdfsXv3bj7++GMAPv/8c5KTk4mNjW3j\nnd24OKJaPv74Y/7617/Sp08f/P396dq1K+Hh4RiNRn71q1+pLjPXG5xpjXfeiqJw+vRpTCaTmluY\nk/M9ev0ArNYxVFWNBO4Ggmm5zi4TWwf5fwGtx+Jlu1H0PSjKSI3XBkjE5sk5G1d9Pg2Grbz66v/w\nxhut9+ZSlmUqKiqQZRmDwaB2ed9//z2zZ8/mgQce4I9//GO7iQ8C2z1fZGQk1dXV9O/fn3Xr1mG1\nWjtahJA7aLDwtZ9/fcENhyRJpKamsmLFCj755BMmTZpUw4f022+/JSYmpl4fUsc9oMViwWw2N3tw\npiV7HjBgAAMGDFAnDCsqKtTcwv37/4XJ9CfKykrx9g6nrOxuZHkUMALwbdb30un+B7gLWXaHFmwf\niqJzi/uLbUr0AIryv3Dd3Po0Xbr8zOzZs7TcWIPU7vIMBoNqLL1mzRq2bt3KypUrGTbMHVOvLePO\nO+/EZDLVeXzPnj1tsJuOQYcpfAEBAeTl5akf5+fnq/FAAtcZPXo0WVlZ6PU2wbkkSQQFBREUFMSj\njz4K1PQhff/99+v1IXWIcx0dYXV1das5zuj1ekaOHMnIkSN5+WVbx3Dx4kUyMzNJTk4jPn4RJ0+m\n4eXlh6KMoKxsFLau8E4aLgyfIMv5wO803auNCsCEojyG1qbfNuKwOb/c4eLXWzEY9hEbuwQfHy1S\n5BtHlmUqKyuxWq014oPOnTvHK6+8wogRI9i3bx/e3lomVAhuZDrMUafVaiU0NJS9e/dy6623MmLE\nCDZt2sSgQYPaemsdDkVRuHLlCklJSergTHFxMcHBweoE6eDBg/H09KwzOAM1jYodptxa7MlZ4+W4\nF3JgtVrJzs4mJSWFAweSSUhI4fz5HAyGYVRU3E119UhgJDZHFqs9YHYcoH1Aqc2PU0KWn9R87WtT\nos/QWMhtY0hSMuHhJezbt8vt97gNhcRu3LiR9evXs3z5cu6+W+soLMENgrjjA5ucYdasWaqc4Y03\n3mjrLQnsWK1WTp061agPqZ+fX70uHC0dnHH4NUqSVGP673pcvXqV9PR0uyl3CmlpJsxmGVm+BbM5\nD3gMm7ZQy64nH5ul2os034/z+timRP2Q5UkurlCOj88qDh78D0OGDNFyazVw3C9brVb0er3a5V28\neJGoqCj69+/PggUL1JMIQYdEFD7BjUV9PqSFhYUEBgbW8SF1dXDGWWDv7NfYkj3n5+ezfft2MjOz\nSE09zvffZ9Gpky9Wa18qKvywySn64OrgjPZ+nM44pkRnAZ1dWqFTp11MmRJKbOxSTTtyZ+rr8hRF\n4euvvyY2Npb33nuPiIgIYSwtEIWvvZGfn8/UqVMpLCxEp9Px3HPPMXPmTIqKioQ5bQPIskxeXp7a\nFdb2IQ0PD6dfv37q6HrtLDfnu0LHvZC7BPYOqqurVW3hgQNHSUoy8dNPhej1QZSX+2Gx9MXWFTbF\nIs0E7MdWmLT347RNiY5CUUa5uEYhnTtv4vjxNLp161ZvWkJLhpac36g43+VduXKFV199le7du7N4\n8WK6ddPabk5wgyIKX3vj4sWLXLx4keHDh1NaWspdd93F9u3bWbdunTCnbSKu+JBevXpVfcFsi6gm\nsOW8paSkkJxsYt++wxw7lg54OWkLA7HdrzkPY7jbj3MfknQMRXkF1wZmFAyGTcyb9zwvvfTitUed\nooPq68ib+v/eYrFQXl6Op6cner1e7fJ2797NwoULmTdvHg899JDo8gTOiMLX3nnkkUeYMWMGM2bM\nEOa0LaAhH9KQkBA6derEV199xaZNmxg1alSNqCZ3Ds40Zc85OTmYTCYOH07g8OFEzpz5Hr3eH7P5\nVqqq/IBTSFKJm/w460ttby4nue22VI4fT72uRq6+e1qoP13ductzDoktKSnhzTffpLq6mtjYWHr2\n1P6+syFkWcZoNBIYGEhcXJw4pWm/iMLXnjl79ixjxowhMzOToKAgYU6rMZmZmUybNo2ioiLGjh1L\nVlZWHR/SXr161bkrdD6mc74rbI1iWFlZ6aQtPMrBgwcwm6swGPpRWurILQzA1bs4ZyTpH0iS3ITU\n9oaoxmBYzebNa7jvvvtcWqH2mxBHurqiKOh0OsrLy+nWrRs+Pj4cOnSIt99+m9dff50pU6a0epe3\nbNkyUlNTKSkpIS4ujujoaHFK0z4Rha+9UlpaypgxY3j77bd5+OGH6xQ6YU7bcn7729/y0EMP8eKL\nL+Lh4dEsH1Jn2zXnY7raR6StwaVLl0hJSSExMYn9+49w4sQxPD07oyiB9tzCQMCf5slzLwKfAC/Q\nXIG+Aw+PI9x7r45vvvmnS19fG0eXZzabVe3dkiVLWL58OYGBgVitVqKiorj//vsJDg5uVa/N/Px8\npk+fzty5c1m6dClxcXEiQqj9Igpfe8RisTBx4kQeeughZs2yOVwMGjRImNNqjCN0tDEa8yF1FMPA\nwECgbjoF1ByccYfjjDMWi0WN2MnLyyMlJYWDBxNISEji/Plc9PoAKiv9MJsdafbdaeg1QKdbCQxA\nlie4uJsSfHzWkJx8mF/+8pcurnENh7REp9Oh1+vVopacnMxbb73Fgw8+SOfOnUlOTiY5ORmj0ciX\nX37Z4u/bVB599FHmzp1LcXExS5YsIS4ujh49eohTmvaJsCxrjzzzzDMMHjxYLXoAkyZNYv369URH\nR7NhwwYeftgdrvsdi6YUIZ1OR3BwMMHBwUydOlXViaWmppKYmMjcuXPJz8/H39+/hg+p8+CM1WrF\nbDbXGd5w3BW2tBjWJ78YMmQIQ4YMYdq0aYDtBCE9PR2TyTY4k5b2D6qqquy5hX2ccgt9gHRkuQRw\nPSPQx+cAkZHTW1z0HINKZrO5hrSkqqqKhQsXkpmZyZYtWwgKCqrxdVVVVS36vs1hx44d+Pn5MXz4\ncOLj4xv8PDFg0/4RHV8bceTIEe69916GDh2qviguWLCAESNGCHPadoqzD2liYiJpaWmN+pA2NLzh\nnGbfVBxdnoeHR7PlFwUFBfbcwgQOHkzkv//NxNu7J2VlRShKP2yFrw/Nn+bM55ZbtnHqVCZdu9aO\nemo6juxGh4GA42c7fvw4UVFR/OEPf+CFF15o0/gggLfeeovPP/8cT09PKioquHr1KpMnTyYlJUWc\n0rRPxFGnoPmI6bXr4+xDmpiYWK8Paffu3V0enGloqrGlez5x4gRbtmwhL+8iycnJ/PhjIXp9IOXl\n/lgsjtzCxvRwMp07f8aSJdE89dRTLu2joZBYi8XCsmXLOHjwIB999BHBwcEure9ODhw4oB51vv76\n6/j6+ooIofaHKHyC5iOm15pPc3xIrzc44yh6zto1d/Hzzz+r2sL9+4+QkZGOoujQ6YIoLe2NrRD2\n5Zq2MIPQ0O9JSUlwqRNzdHkABoNBXePUqVPMnj2biRMnMmfOnCbbx7U2zoXvypUr4pSmfSIKn6B5\niOk17WiuD2lpaSmA2gG25uCMA0VROHPmjP2INJFDhxI5c+a/+Pj4UV3tjyR9z44dW5ttAN1Ql2e1\nWlm1ahXbt2/n73//O3fc4WoyhECgIgqfoHmI6TX30ZgPqa+vL3FxccyfP5/HH38coMZ9obsGZ5pC\nVVUVx44dw2Qy4e3dicjIZ5v19bIsq+nizmbgZ8+eZebMmYwePZq5c+dqcpwrECAKn6A57Nixg507\nd/Lhhx8SHx+vdny1C5/QGGpHYWEhkZGRpKSkMGnSJLKzsxv0IdV6cMbd1A6JdUQ+ybLMp59+yuef\nf86KFSsID3dHqK6gAyPkDIKmc+TIEeLi4vj3v/+tTq899dRT+Pv7U1hYqB519unTp623etPw3nvv\nMXDgQLZs2YLBYKjjQzp//vwGfUgBtRA6AlnbynGmNrJsC/aVZZnOnTurXd6FCxeYNWsWgwYNYt++\nfa0SWCsQOBAdn6BRxPRa69AUkX1DPqShoaFqMQwNDUWn09UQ2DsGZ2rfFbpTHtBQl6coClu3bmXl\nypW8//77jB49ul11p4KbCnHUKXANMb3WvrFYLGRlZamDM9nZ2Y36kDofk2oVF1QbR+RT7ZDYn376\niTlz5tCnTx8WLVrUIu2fQNAEROETCDoCzfUh1XpwpqGQ2B07drB48WLeffddJkyYILo8QWsgCp/g\n5qO4uJjIyEgyMzPR6XSsXbuWkJAQIbKvRXN8SGuL7IE6ptz1FS2HxVvtLq+4uJjo6GgAVqxYQY8e\nPdz+84qQZ4EdUfgENx9PP/00ERERTJ8+HYvFQllZGQsWLBAi++tQ24c0KSmpXh9SvV4P1DXlrh3g\na7VaqaysrNPlxcfH88477/Dmm28yefLkVuvyRMizwI4ofIKbi5KSEsLCwjh9+nSNx4XI3jVc8SGt\nqqrC8frh4eHB0aNHqa6uZujQoSxfvpzLly+zcuVKevfu3aY/mwh57rCIwie4ucjIyOD5559n8ODB\nZGRkYDQaWb58OQEBAUJkrxGN+ZD26NGDDz74gJUrV3LvvfciyzKfffYZGzduJCMjg1tuuYXx48cz\ncuRIIiIi2syJRYQ8d2iEjk9wc2GxWEhLS+Nvf/sbRqORqKgoYmJi6hyniSEK1/Hy8sJoNGI0Gpkx\nYwaKolBQUMCMGTPYt28f999/P/Pnzyc4OJiwsDAyMzPx9fUlOzubkpIS9Rj10qVLbVL4SktLmTJl\nCitWrKBLly7iuSFQEYVPcEMSGBhIUFAQRqMRgN/97nfExMTg5+cnRPZuQpIk3nzzTfR6PWfOnMHX\n11f1Id21axedO3cmLi5O1QfecccdREZGtsleLRYLU6ZM4amnnlIzLcVzQ+BAHHUKblgiIiJYvXo1\nISEhzJs3T/WB7NmzpxDZu4nS0lLVLaY9M3XqVHr16sXSpUvVx6Kjo8Vzo2Mh7vgENx8ZGRlERkZS\nXV1N//79WbduHVarVYjsOzgi5FlgRxQ+gUAgEHQoGix87jPrEwgEAoGgHSIKn0DgRhYuXMiQIUMY\nNmwYTz75JGazmaKiIiZMmEBoaCgPPPAAxcXFbb1NgaBDIQqfQOAmcnNzWb16Nenp6Rw7dgyLxcKm\nTZuIiYlh/PjxnDp1inHjxrFw4cK23qpA0KEQhU8gcBPdunXD29ubsrIyLBYLFRUVBAQEsH37dqZN\nmwbAtGnT2LZtWxvvVCDoWIjCJ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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x10c487550>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
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6du9uo729n1wug2VZbN68F01r4Pnnn3e229/fj6YdSCDQSCQSsRPUG7CsJttN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\nVYW4LmOv4CuBweTB8DyqkVI9ABFZb6lcgJTw6RhzVZiZN3E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fItaTUxkYRNNfHErROvQM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+8f8SXks0h5/TVmjNCcmyKoNsb0vqdYLHLCCSfQ1NTEiSeeyHHHHUdHRwfXXXcdF1xwwUbPsTVy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\nQqFQvIr/B4nXTznF0uFoAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x10c1a3198>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "sis = list(octave.keys())\n", | |
| "\n", | |
| "x = np.arange(1, xmax-1)\n", | |
| "y = np.arange(1, ymax-1)\n", | |
| "X, Y = np.meshgrid(x,y)\n", | |
| "\n", | |
| "# x方向の微分をプロット\n", | |
| "fig = plt.figure()\n", | |
| "ax = Axes3D(fig)\n", | |
| "ax.plot_surface(X,Y,ex.d2fdx2(Y, X, sis[1], sis[1]-sis[0], sis[2]-sis[1], octave)[0,0])\n", | |
| "\n", | |
| "# y方向の微分をプロット\n", | |
| "fig = plt.figure()\n", | |
| "ax = Axes3D(fig)\n", | |
| "ax.plot_surface(X,Y,ex.d2fdx2(Y, X, sis[1], sis[1]-sis[0], sis[2]-sis[1], octave)[1,1])\n", | |
| "\n", | |
| "# x-y方向の微分をプロット\n", | |
| "fig = plt.figure()\n", | |
| "ax = Axes3D(fig)\n", | |
| "ax.plot_surface(X,Y,ex.d2fdx2(Y, X, sis[1], sis[1]-sis[0], sis[2]-sis[1], octave)[0,1])\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "source": [ | |
| "## テイラー展開をしてみる\n", | |
| "- テーラー展開式:\n", | |
| "$$ f(x) = f(c) + \\frac{df}{dx}\\big|_c \\cdot (x - c) + \\frac{\\partial^2 f}{\\partial x^2}\\big|_c \\cdot (x-c)^2$$\n", | |
| "- 極値の近似点(テーラー展開式上の極値):\n", | |
| "$$ \\hat{x} = - \\frac{\\partial^2 f}{\\partial x^2}^{-1} \\cdot \\frac{\\partial f}{\\partial x} \\big|_c+ c$$\n", | |
| "$$ f(\\hat{x}) = f(c) - \\frac{1}{2} \\frac{\\partial f}{\\partial x}^T \\frac{\\partial^2 f}{\\partial x^2}^{-1}\\frac{\\partial f}{\\partial x}\\big|_c $$ " | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 32, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0x10ab77978>" | |
| ] | |
| }, | |
| "execution_count": 32, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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tkku9uLMoivh8PlyurEU3MDDO/ftP6OjYwaZNvXR0lC7z5fEMcfbsx3R378Tl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\nmufm5mIymdi2bRuTJk3C39+fwYMHU1ZWpvqQ2opF7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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x10ac8e710>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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G3i2oj7lOVVXl0If7cXicbH51M/rYQhaKhAlFwsCj/D9V04hFY0SHR4mNRum9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\nTYr/BxXVRGnQLXqXAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x10c151ba8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "#%matplotlib osx\n", | |
| "\n", | |
| "sis = list(octave.keys())\n", | |
| "\n", | |
| "#x,yのgridを生成\n", | |
| "x = np.arange(1, xmax-1)\n", | |
| "y = np.arange(1, ymax-1)\n", | |
| "X, Y = np.meshgrid(x,y)\n", | |
| "\n", | |
| "# c=(c1, c2, c3)^Tでテーラー展開をする。 \n", | |
| "c1 = x[10]\n", | |
| "c2 = y[20]\n", | |
| "c3 = sis[1]\n", | |
| "\n", | |
| "dsigma1 = sis[1] - sis[0]\n", | |
| "dsigma2 = sis[2] - sis[1]\n", | |
| "\n", | |
| "c = np.array([c1, c2, c3])[:,np.newaxis]\n", | |
| "fc = octave[sis[1]][c2, c1] # c2, c1となっているところに注意!\n", | |
| "dc = ex.dx(c2, c1, c3, dsigma1, octave) # c2, c1となっているところに注意!\n", | |
| "dcc = ex.d2fdx2(c2, c1, sis[1], dsigma1, dsigma2, octave) # c2, c1となっているところに注意!\n", | |
| "\n", | |
| "# x_hatを求める\n", | |
| "x_hat = -1.0 * np.linalg.inv(dcc).dot(dc) + c\n", | |
| "f_hat = fc - 0.5 * dc.T.dot(np.linalg.inv(dcc).dot(dc))[0, 0]\n", | |
| "\n", | |
| "# テーラー展開をする関数を用意\n", | |
| "def talor1(x, y): # 1階のみの場合\n", | |
| " _x = np.array([x, y, c3])[:, np.newaxis]\n", | |
| " z = fc + dc.T.dot(_x-c)[0,0]\n", | |
| " return z\n", | |
| "\n", | |
| "def talor2(x, y): # 2階までで近似\n", | |
| " _x = np.array([x, y, c3])[:, np.newaxis]\n", | |
| " z = fc + dc.T.dot(_x-c)[0,0]\n", | |
| " z = fc + dc.T.dot(_x-c)[0,0] + 0.5 * ((_x-c).T.dot(dcc.dot(_x-c)))[0,0] \n", | |
| " return z\n", | |
| "\n", | |
| "fig = plt.figure()\n", | |
| "ax = Axes3D(fig)\n", | |
| "ax.plot_surface(X,Y,octave[c3][Y,X], alpha = 0.3, cmap = 'Greens')\n", | |
| "ax.plot_surface(X,Y,talor1(X, Y) , alpha = 0.3)\n", | |
| "ax.scatter3D(c1, c2, fc, c='r', marker = '.', s=100)\n", | |
| "\n", | |
| "fig = plt.figure()\n", | |
| "ax = Axes3D(fig)\n", | |
| "ax.plot_surface(X,Y,octave[c3][Y,X], alpha = 0.3, cmap = 'Greens')\n", | |
| "ax.plot_surface(X,Y,talor2(X, Y) , alpha = 0.3)\n", | |
| "ax.scatter3D(c1, c2, fc, c='r', marker = '.', s=100)\n", | |
| "ax.scatter3D(x_hat[0], x_hat[1], f_hat, c='b', marker = '.', s=100)\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "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": "3.5.0" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 0 | |
| } |
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