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October 27, 2017 11:12
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Comparison of the behaviours of the SGD optimizers
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "%matplotlib inline" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "import numpy as np\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import math\n", | |
| "import contextlib" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Implementing optimizers\n", | |
| "\n", | |
| "I have implemented the following by looking at [Sebastian Ruder, An overview of gradient decent optimization algorithms](http://ruder.io/optimizing-gradient-descent/), [Chainer implemntation of optimizers](https://docs.chainer.org/en/stable/reference/optimizers.html),[skitaoka, AdaGrad, RMSProp, AdaDelta, Adam, SMORMS3, Qiita Post](https://qiita.com/skitaoka/items/e6afbe238cd69c899b2a) and sometimes their original papers.\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "class SGD(object):\n", | |
| " default_name = 'SGD'\n", | |
| " default_color = 'gray'\n", | |
| " def __init__(self, lr=0.01, name='', color=None, line=None):\n", | |
| " self.name = name if name != '' else self.default_name\n", | |
| " self.color = color or self.default_color\n", | |
| " self.line = line or '-'\n", | |
| "\n", | |
| " self.lr = lr\n", | |
| "\n", | |
| " def __call__(self, g):\n", | |
| " return self.lr * g\n", | |
| "\n", | |
| "\n", | |
| "class MomentumSGD(object):\n", | |
| " default_name = 'MomentumSGD'\n", | |
| " default_color = 'green'\n", | |
| " def __init__(self, lr=0.001, momentum=0.9, name='', color=None, line=None):\n", | |
| " self.name = name if name != '' else self.default_name\n", | |
| " self.color = color or self.default_color\n", | |
| " self.line = line or '-'\n", | |
| " self.lr = lr\n", | |
| " self.momentum = momentum\n", | |
| " self.v = None\n", | |
| "\n", | |
| " def __call__(self, g):\n", | |
| " if self.v is None:\n", | |
| " self.v = np.zeros_like(g)\n", | |
| " self.v = self.momentum * self.v + self.lr * g\n", | |
| " return self.v\n", | |
| "\n", | |
| "\n", | |
| "class Adagrad(object):\n", | |
| " default_name = 'Adagrad'\n", | |
| " default_color = 'red'\n", | |
| " def __init__(self, lr=0.001, eps=1e-6, name='', color=None, line=None):\n", | |
| " self.name = name if name != '' else self.default_name\n", | |
| " self.color = color or self.default_color\n", | |
| " self.line = line or '-'\n", | |
| "\n", | |
| " self.lr = lr\n", | |
| " self.eps = eps\n", | |
| " self.g = None\n", | |
| "\n", | |
| " def __call__(self, g):\n", | |
| " if self.g is None:\n", | |
| " self.g = np.zeros_like(g)\n", | |
| "\n", | |
| " self.g += g * g\n", | |
| " return self.lr / (np.sqrt(self.g) + self.eps) * g\n", | |
| "\n", | |
| "\n", | |
| "class Adadelta(object):\n", | |
| " default_name = 'Adadelta'\n", | |
| " default_color = 'orange'\n", | |
| " def __init__(self, rho=0.95, eps=1e-8, name='', color=None,\n", | |
| " line=None):\n", | |
| " self.name = name if name != '' else self.default_name\n", | |
| " self.color = color or self.default_color\n", | |
| " self.line = line or '-'\n", | |
| "\n", | |
| " self.rho = rho\n", | |
| " self.eps = eps\n", | |
| " self.dx = None\n", | |
| " self.v = None\n", | |
| "\n", | |
| " def __call__(self, g):\n", | |
| " if self.dx is None:\n", | |
| " self.dx = np.zeros_like(g)\n", | |
| " self.v = np.zeros_like(g)\n", | |
| "\n", | |
| " self.v = self.rho * self.v + (1. - self.rho) * g * g\n", | |
| " dx = np.sqrt((self.dx + self.eps) / (self.v + self.eps)) * g\n", | |
| " self.dx = self.rho * self.dx + (1. - self.rho) * dx * dx\n", | |
| " return dx\n", | |
| "\n", | |
| "\n", | |
| "class RMSProp(object):\n", | |
| " default_name = 'RMSProp'\n", | |
| " default_color = 'cyan'\n", | |
| " def __init__(self, lr=0.001, alpha=0.99, eps=1e-8, name='',\n", | |
| " color=None, line=None):\n", | |
| " self.name = name if name != '' else self.default_name\n", | |
| " self.color = color or self.default_color\n", | |
| " self.line = line or '-'\n", | |
| "\n", | |
| " self.lr = lr\n", | |
| " self.alpha = alpha\n", | |
| " self.eps = eps\n", | |
| " self.v = None\n", | |
| "\n", | |
| " def __call__(self, g):\n", | |
| " if self.v is None:\n", | |
| " self.v = np.zeros_like(g)\n", | |
| "\n", | |
| " self.v = self.alpha * self.v + (1. - self.alpha) * g * g\n", | |
| " return self.lr / (np.sqrt(self.v) + self.eps) * g\n", | |
| "\n", | |
| "\n", | |
| "class Adam(object):\n", | |
| " default_name = 'Adam'\n", | |
| " default_color = 'blue'\n", | |
| " def __init__(self, lr=0.001, beta1=0.9, beta2=0.999, eps=1e-8,\n", | |
| " name='', color=None, line=None):\n", | |
| " self.name = name if name != '' else self.default_name\n", | |
| " self.color = color or self.default_color\n", | |
| " self.line = line or '-'\n", | |
| "\n", | |
| " self.lr = lr\n", | |
| " self.beta1 = beta1\n", | |
| " self.beta2 = beta2\n", | |
| " self.eps = eps\n", | |
| " self.m = None\n", | |
| " self.v = None\n", | |
| " self.t = 1\n", | |
| "\n", | |
| " def __call__(self, g):\n", | |
| " if self.m is None:\n", | |
| " self.m = np.zeros_like(g)\n", | |
| " self.v = np.zeros_like(g)\n", | |
| "\n", | |
| " self.m = self.beta1 * self.m + (1. - self.beta1) * g\n", | |
| " m_hat = self.m / (1.0 - pow(self.beta1, self.t))\n", | |
| " self.v = self.beta2 * self.v + (1. - self.beta2) * g * g\n", | |
| " v_hat = self.v / (1.0 - pow(self.beta2, self.t))\n", | |
| " self.t += 1\n", | |
| " return self.lr * m_hat / (np.sqrt(v_hat) + self.eps)\n", | |
| "\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Helper functions for drawing plots" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "def calc_grad_change(optimizer, grads):\n", | |
| " param_change = []\n", | |
| " for g in grads:\n", | |
| " param_change.append(optimizer(g))\n", | |
| " return np.vstack(param_change)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "def draw_graphs(grads, optimizers):\n", | |
| " plt.axhline(y=0, color='k')\n", | |
| " for o in optimizers:\n", | |
| " plt.plot(range(len(grads)), calc_grad_change(o, grads),\n", | |
| " label=o.name, color=o.color, linestyle=o.line)\n", | |
| "\n", | |
| " \n", | |
| "@contextlib.contextmanager\n", | |
| "def new_plot(ymin=-0.02, ymax=0.02):\n", | |
| " plt.close()\n", | |
| " yield\n", | |
| " plt.ylim(ymin, ymax)\n", | |
| " plt.xlabel('Steps')\n", | |
| " plt.ylabel('Parameter update ratio')\n", | |
| " plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n", | |
| " plt.show()\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Experiments" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Stationaly with different scales" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
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bzg7iCXUp+hItlrRgyk9TmNR8Ette2kaJgiWcHZYQQgiRIyxYsACDwcCzzz7r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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7feb7e797150>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "with new_plot(ymin=0.0, ymax=0.011):\n", | |
| " draw_graphs(np.ones((100, 1)),\n", | |
| " [\n", | |
| " SGD(),\n", | |
| " MomentumSGD(),\n", | |
| " Adagrad(),\n", | |
| " Adadelta(),\n", | |
| " RMSProp(),\n", | |
| " Adam()\n", | |
| " ])\n", | |
| " draw_graphs(np.ones((100, 1)) * 3.0,\n", | |
| " [\n", | |
| " SGD(name=None, line='dashed'),\n", | |
| " MomentumSGD(name=None, line='dashed'),\n", | |
| " Adagrad(name=None, line='dashed'),\n", | |
| " Adadelta(name=None, line='dashed'),\n", | |
| " RMSProp(name=None, line='dashed'),\n", | |
| " Adam(name=None, line='dashed')\n", | |
| " ])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Non-stationaly, oscilliating inputs\n", | |
| "We look at stability and convernce of optimizers" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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GSqlVSqlzSqnLSqkdSqlOxflacMlOT95owT+WSvN0y/b8tr7Oaonm5iOam49o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\nNHnpeRTOKowr1cRqmzmauvY63rbkbcpzm5pbsSRvCQJBXXsd6xeuV57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VHOg8QGgk9s9o\nYqd5+6l2uga6Jl1zvz7nk635wa6DDA7HHmeiNbcnUZprNJqpx1NyrhBisRDiG0KIR4UQhaPPXSeE\nOMdf82Y+c6WE8AipLg6c2pVKqyquorqlWukQrMnIyAjhcNi2xFt9Rz3JgWTKcsuU5zZxux28cs5K\nX5x+c2H2I9LvpjydEIKKggrXtsfS3M9oObiLxg2Hh9nfud/VvE5pSX5EQN1obl7LrTMUS3M/0zXA\nXUrViByJW3O/KvfAm0fzA10HXM2rNbcnUZprNJqpR9npF0JsAHYDFwE3AZmjL1UC/+ifaWcHfQNd\n0HMUchc6jg0Gg5ZftJVFlfSF+mjqblK+fqwDa2B0ml00exHJAe992lQc0H1t+5BSuprXbmE26/37\nscDZaR5NRYH7NBmnw7CTuTCrpsnEcvoDIsCSvCWKlk5ERXO3N1qOBzN92hWKvJYd5o2R29SHWJon\niaRJ1VylUpWT5n6lyEReyw6t+fTXXKPRTD1eIv3fAu6SUr4ViPxWeAFY54tVZxFN3U1w8hCnZhU5\njrUr8baqyKgvvrNFrc49OHe1re+Mr1wnqOWAdp7upO1Um6t57ZrQ1LbXIhC+LMxuyurBmYXZzQ2L\nneb9oX4OnzzsWxQRnDUvnFXI7LTZSk6FXRRx0exFpCbbN3lzi4rmbqsm2Wl+cuAkzX3NcZfrBPea\nF2QUkJeep3SjZfc5n2zNVSpVOWk+mZ9zrfn011yj0Uw9Xpz+84CnLJ5vRdfvn0BjVyN0N9GZmu04\n1i4HtDizmDkZc9h1Ypfy9d1E+pflxef0JyUlEQgEXG0HQ/zRuLr2Ospnl3tuJhaJm7xbMGzvHujm\nRP8Jx7F2mpvnJ/yIxrnV3ExN8iPS74dDAe41ryiocF01yU5zv6olgZrmqtHbRO4KgdrnXGuuNU+E\n5hqNZurx4vR3AyUWz1cBx+Iz5+yjsbuRYO9xjrtIn7FbJIQQVBZXKne0hdhO/9DIEAe7DsZVucck\nJSXFMaq1JG8JyYFk14uE7YG1jtq4m3KZqDig4C5Nxmlh9uMsgjm/yi6FG2IdEvTjZgXUnCHz2k44\nau7j58Vt9NbtjVYszafiRsu8thNa89hozTUazXTDi9P/a+BeIUQxIIGAEOIS4DsYNfw1ETR2NTJn\n6BTHhcDpKzQlJYXh4WHC4YkHdlcVroor0m+1ld3Y3ciIHIk7vcec32mBS0lKYUneEte1+mNF+v1c\nmO00j2Tx7MXGDYuLXQo7zWvaayiaVURuWq53gyNwe1DQXJjdpCZZaX5q6BRN3U2Trvm8rHlkpmQq\nOUNWmi/IXsCslFneDY5A9XCmm8P3dpof6j40ZZrH+znXmmvNNRrN9MOL038HUAscwTjEuw94Cfgz\n8A3/TDs7aOxuZKEMIzEEi0WsA1SVxZUc6DpA72Cv0vVj5fQ3dDQAxNWN18R19DbOLfjQSIiDXQd9\njWiZ14pFMCnI0rylrm5Y7DTfdWIX5xWd59HSibjVfOWclfSF+jh88rDjWCvN97TuQSI5r9Af291q\nbqYP7Gnd4zhnLM3NMzF+oLJL0T/U71nz3Sd2I5G+2a6seZt3zXee2Dmlmh/qPuQ4Vmsem0RortFo\nph4vdfpDUspPAIuAdwAfBiqklH8rpXQ+ifQmo7G7kWWjNdmdvhZjHaAyv9B3t+5Wun6s9J76jnrS\nk9OZlz1PaU4rVBzQeHL6a9pqGJEjnFt4ric7o3F7aA2M/wM3KVZ2mu88sZPKokoPVlrjVvPK4sqx\n6zthpfnOlp0ERGBKNF9dvDouzatbqqdE89XFqwF3h+8tNT9haH7OHH+qICtr7tJusPict0zN53xM\nc6+fc635GInQXKPRTD1eSnbeLYTIkFIekVL+j5TyMSllgxAiXQhxdyKMnKlIKWnqbuK8tFwE0OQw\nPlZkaEXBCpIDycopPqFQiEAgQFLSxIYtDZ0NLM1fSkB4atcwDpVI/7HeY5wcOOk41m5hBnyLmLuN\nxsEZB9QpTcZK8+6Bbpq6m8YWST9wq/m8rHnkp+dT3VLtONZO8+X5y0kPpnu2NRJVzfe27nVsdGWl\neVt/G819zWM3PX7gVvOSzBLmZMzxrnnL1Gq+r22fJ81b+1unXHPPN1pa8zESoblGo5l6vHh7X+NM\nbf5IMkZf84QQ4jNCiEYhxGkhxGtCiLc4jH+fEKJmdPxOIcR1FmP+SQhxXAhxSgjxv0IIyxqPQogU\nIUS1ECIshPBtj7Slr4WB4QGW5pQyF/dOv9UBqtTkVCoKKpS/XM3FTQgx4bX6jnpfUnvAfQ6oStR5\ncHBwQu7qzpadlOeWk+2iGpIb3HafBGNh7hnsceyXYKW5ebPmZzTOreZCCNcRcyvNq1uqfXcozGs5\nUVlUyVB4yHF3yEpz8+f180ZLRfPK4kqqTzg7/Zaan6j2/QbRvJYTcWneojU30ZprNJrphhenX2Ac\n4I2mEuj0YoQQ4gPAfRg3DVXATuAPQogCm/HrgEeA/wBWA08DTwshVkaM+SrwWeCTwIVA/+icVrUr\nvw0ctfm5PGOWYCufXU4Zzuk9TpGhyqJKdrWqR/pta/R3xF+j38RtZGh5/nJSk1J5o/mNmOPC4TDD\nw8PWKTIJcEBVtrKdord2UcSUpBTfDgmCe83BsN3JbivNwzLMrhO7fE8dAPcpVeBN8+qWajKCGSye\nvdijpRNR0rzozaf5zhM7teajaM01Gs10w7XTL4ToEkJ0YjjG9UKIzojHSeB/gcc82vEF4N+llA9L\nKWuB24BTwMdsxn8OeFZKeb+Usk5K+TVgB4aTHznm61LK30op9wAfAeYC7476ua4D3gp8CeOGxjfM\niHBZbhmlxJfeA6NO/4ldSpUS7ErTnR46zZGeI75F+oPBoKuIVjApyHlF5zlGhqxyV6WUCcmLj7xe\nLIoziymaVeS4wFlpvvPETlbOWUkwKejd2Cjcag7GZ+dg18GYaVVWmjd1N9Eb6p0yzbNSs1iSt8Rx\nl8JO8/MKzyMpMDG1zSsqmq8uXk1TdxPdA922Y6w0b+xqpC/UN2U3t6bmXj/nWnPGza8112g00wWV\nSP/ngS9iOMZfw3DUzcdtwHop5WdUDRBCBIHzgefN56SRNP0c9h1+142+HskfzPFCiEVAcdScPcBf\nIucUQhQBP8U4jHxa1XYnGrsayUvPIzs1mzKcnX6ng1+rilbRF+pzTC+JJBSy7jy5v3M/gG+Rfrfb\nwQBVxVWOkX6rhbmlr4X2U+2+p8hEXs+J1cWrXd2wTEhLOrHT1+13UNPcvHasMyFWmptOiN+pA5HX\nc8LNLoWl5i0zU/NEpSVFXs8JN+lgWvPYaM01Gs10w7XTL6V8SEr5IHAF8OPRf5uPR6WUr3q0oQBI\nAqJbnZ7AcNytKHYYX4SxI+E05y8wfpbYHqhHGrsbKc8tB6AMo3PZUIzxycnJCCFsIyxj+fAKef12\n6T0NnUa5zslO74HRw5ltexkcto8kxVqY/YzGOWkejVsHNNLu4fAwu0/s9vVmBdQ0ryioICUpJabt\nlpq37GROxhyKM+1+FdVR1byyqJLqluqYB6ijNR8cHqSmvWZKNV9eYKSyqWpe3VJN4azCKdXcTNnQ\nmntHa67RaKYbXkp2vgiUCiG+IYR4VAhRCEaajBDCn1pnBnZnB+IZPzZGCPF3QBZwb8RrvtLY3Uj5\nbMPpLwXCGAcHbI0TIuaXbdGsIqNSgkJ5NDunv76jnpzUHAoyLI9NKKOySFQVVzEcHmZv217bMVZN\naHa27CQrJYuy3LK4bI3ESfNoKosqOXzyMJ2n7Y+vRGte31HP4MjglC7MwaQg5xaeG/OzY6n56BkK\nq4PgXlHVfHXxaroGujjSY9/pIlrzfW37GA4P+3qDCGqaJweSObfwXFcO6ATNff6sKH/Oiyu15nGi\nNddoNNONZNU3CCE2AM8CrwCXAXcCrRgHeW8B3qs4ZTswghGdj6SQiZF6kxaH8S0YTnxR1ByFgBnV\nvwJYCwxGOTR/FUJsllJusjP4C1/4Ajk5OeOe27hxIxs3bhz3XGNXI+eXnA8YkX4wUnzK7SYm9pet\nWSlBZRs1FAqRnT2x0k1New3LC5b75syZdkspHedcVbQKgaC6pZo1JWts7TbnNdl5YifnFZ3nS4nR\nSFQdUDBuQK4ov8JyTLTm5s5MohZmN5qD84E7O83fu0L1V9oZL5pXt1SzMGeh5ZgJmpulXX1qKGai\nrHnxanY077B93W535f3nvD9+Y6OYDM0FQmsewZtZ80cffZRHH3103HMnTzqXatZoNInDi/f0LeAu\nKeVbgchvsxewz8G3RUo5BGwHrjKfE8a3zFXAn23e9mrk+FHeOvo8UspGDMc/cs5s4KKIOW/HuFEx\nH9dh7AK8H+NGxpbvfve7PPPMM+Me0Q7/cHiYwycPj6X3mF/hbir4xFokVhW6axBlYhfp39u6l3Pn\n+NNsCc5EzYaGYiUwGcxKmcWy/GUx8/qtOk8mIhpnXsPtwrwsfxnpyemOznO03QuyF5CXnhe3rZGo\naA7GTcee1j0MjViPj9bc7C3g982KeQ23mpt9BmKltUVrXt1SzZK8JWSlZsVtaySqmpupbG417zrd\nxaGTh6b8c+6mt4OV5ovzFmvNI3gza75x48YJ6+R3v/tdX+3UaDRqeHH6zwOesni+Fcj3aMf9wK1C\niI8IISqAn2DU/X8QQAjxsBDinyPGfw+4TgjxRSHEciHEPRiHgX8YMeYB4C4hxDuFEOcBD2Nk12wB\nkFIelVLuMx9AA8buwEEp5XGPP8cYx3uPMyJHKM0tBSAN4zBBk8P7nBaJymKjCkvvYK8rO6yc/pHw\nCPva9vnWYRXUKlUAVJVU8UaLvdMfHY0bGB6grr1uyhfmpECSY/Uhq4U5UY6zeT03rC6DJivXAAAg\nAElEQVRezeDIIHUddZavR2ueiN4CJiqam30GVDRP5A2ieT03rC5eTWgkRG17reXrtppP8Y2Wm94O\nWnNntOYajWY64cXp7wZKLJ6vwjirqoyU8jHg74F/wki/WQVcK6VsGx0yn4gDuKOHhjcCtwLVwE3A\nu0add3PMt4EfAP+OUbUnHbhOShnrW8y3Ov1He4zs/QXZC8aeK8MHp3/0C353625XdliVeGvsbuT0\n8OmEOP1uD61VFVex88RO2/KjpgbBoFHicm/rXkbkyJQvzOCcJhOpuZSS7c3bqSquitvOaFQ1Nz87\ndqkP0Zq/fux10pPTfe0tYKKqeWVRZcyUjUjNh8PDbD++3TZ1LB5UNTfrr6tonhHMYHn+8nhNnYDy\n59whTUZr7ozWXKPRTCe8OP2/Bu4VQhRjOMkBIcQlwHcwoumekFL+WEpZJqVMl1Kuk1L+NeK1K6WU\nH4sa/4SUsmJ0/Cop5R8s5rxHSjlXSpkhpbxWSrk/xvUPSSmTpJS+1B0znf752fPHnivDOb3HqVRa\nRUEFyYFk1xV8rEq87W01DtCeU+jfuWvlSH9xFX2hPg50HrB83YxomfmkO5p3EBABX29UTFTK0wFc\nNP8i9rTusa1LHan53ra9tJ9q57LSy3yxNRJVzXPScji38FxeOvSS5evRmm9t2solCy/xtbeAiarm\nlyy8hKbuJg6fPGz5eqTmO5p30Bvq5fKyy/0wdRyqmmenZrOqaBUvHnrR8nVLzRdME80XGJof6rb+\n1tKaO6M112g00wkvTv8dQC1wBMgE9gEvYeTKf8M/02Y2R04eYVZwFrlpuWPPuW3QFSu6kpqcyoqC\nFa4O80opLdN79rTuYXbabEoyrTZsvOFlOxjsI0PROxQvHX6JquIqMlMy47R0Ik6aR3Nl+ZWEZZgX\nmyYucNGab2vaRjAQ5OIFF/tmr4mq5gBXll3JC40vWL4WHUV8+dDLXFFmfVg5XlQ131C6AYFga+PW\nCa9ZaZ4RzOAtc9/im70mXjV/vvF5y1KMkZoPjQzx8uFppHnZqOZNzppvbdzKrOAsrXkUWnONRjOd\n8FKyMySl/ASwGHgHRmOrCinl30opR/w2cKZytOco87Pnj6t8UIZxpzQc431utoNXFbk7zGsewprg\n9Lft4dzCc30tw6jaiGbOrDksyVsSM+pszimlZFvTtoREtEB9C74st4zy3HJL5zla861NW7lo/kVk\nBDP8MTYCVc0Brii/gsbuRhq7Gie8NllRRFDXPD8jn9XFq3mhyZ3m6xeuT1jkFtQ1P3zyMI3dzpr3\nhfpsq0LFi6rmeel5huYuPufbDm3TmlugNddoNNMJz7UPpZSHpZT/I6V8TErZ4KdRZwNHe4+OS+0B\nw+kfAWKdEnazSFQWVbK7dbdtPryJVWk6MNJ7zpnjZ0sF9RxQgKvLr+a5xujGygaREa3G7kaO9hyd\nNg4oGNF+Kwc0UnNzNyCRUURQ03wsYm4RSZysKCLEoXnjCxMiiZGaD40MJXyHAtQ0v6z0MgIiYOnI\njdO8aSuZKZljZX79RmtuoDV3xm/NNRrN9EDZ6RcG7xNC/FgI8bgQ4snIRyKMnIkcOXmEBTkLxj1X\nOvpnU4z3uY3094X6LKO1kVg1oRkaGaK2vdb33HjzUJzKAnfVoquo76jnyMmJzWii0zUCIsD6hev9\nMTYKrwvzntY9nOgb30oiUvM9rXvoON2RsIXZi+az02ezpmSNK2coUVFE8K750Z6j7O8cfzQnUvO/\nHv8r/UP900rz3LRczi85f8Zqfqz32FgHbxMrzRN1U641N5jJmms0mumBl0j/A8AvMXpM9QEnox4a\nRtN7ssZH+v1y+s0KNk55/VaR/obOBobCQ74e4gUIBAIEg0G17eCyKxAInm98fsJr0U5/VXHVuPMR\nfuJlYTadyuiIeaTmWxu3kpKUwtr5a/0xNAovmkPsSKIZRfzT4T8lzHEGb5pfuvBSkkTSBKciUvNt\nTdvISsni/LmJidwmSvPQSGjGar61aavW3AatuUajmU54cfr/FrhJSnmdlPKjUspNkQ+/DZyJDIeH\nae5rnhDpz8BoCRyrgk9qaiqDg4MxvzSLM4spnFXomNdv1eBqrHKPz+k95nVU87TXlKyxdfpTU1OR\nUvLioRfZULrBT1PH4UbzaEqySlhRsGLCwhyp+bZD21g3fx3pwXRf7Y3EaySxua95Qr1+U/OxaHmC\n8pzBm+ZZqVlcOO/CCWlVkZpvbdrKpaWXkhxQbjbuGq+an+g/QU17zbjnIzU/NXQqoQ5oXJrH+pw3\nbdOa26A112g00wkvTv9J4KDfhpxNNPc2E5bhCTn94FzBJyUlBSklIyOxz0SfX3I+rx97PeYYq0j/\nntY9FM0qYs6sOTHf6wUvi8RV5Vfx3MHnLKNxwWBwrExjoraxwb3m0ZhRrUjMnz85mJzQfH4TL5qv\nX7ie5ECype3BYHAsipiI+t8m8Wi+tXHruPMsYz9/Erxy5JVpqfklCy4hGAjaa964lezUbKpK/O/n\nYBKX5k1acy9ozTUazXTCi9N/D/A1IUTiwpczHKsa/SZlODv94HyAau38tbx29LWYESQrp39v217f\nU3tMVMvTAVy96Gpa+lomRIbMsnrbmrYhEFxaeqmfpo7Dy6E1MBbmA10Hxp2tMDXf3radroGuhEbL\nwZvmmSmZXDTvIp7d/+y45wcHBwkGgzxZ8yQbyjYkPIpoXlOFK8uvpO1UG9uPbx97ztT8xWMvcmro\nFFeVX+WfoRZ40XxWyizWzl/L/zT8z7jnxzSvfZLLyy6ftpq3n2rnr8fHWqeMab7t6DateQy05hqN\nZjrhxel/DJgNtAohdgshdkQ+fLZvRnKkxziYGtmN16SM2Ok9busjr5u/jq6BLuo76m3HWDn9u1t3\nJyS1B4ytbLOsnFsuWXgJKUkpPHdwfBUfcwv+ucbnqCpJXD4/eKtJDcYNS05qDt//y/fHnjPn+N7/\nfY+KgoqEHT428aI5wM2VN/O7+t+NpXuBYfve03vZ3ryd2y+83U8zJ+BV88tKL2PR7EXc+8q9Y8+F\nQiEkku+89h0uXnDxWA+IROFV802rN/Hs/mfHncUJhULsPrWbHc07ZqTm9/3lPi5ZcInW3AatuUaj\nmU54cfofAs4HfgU8AWyJerzpOdpzlIxghqWjWgocxijdaYXbReLCeRciELx69FXbMYODgyQnJxMI\nGP/Nnac7qe+o58J5F7r5MZTxEhnKCGZwyYJLeKbumXHPh0IhemUvj+97nPevfL+fZk7A68KcnZrN\nF9Z+gZ9s/wnNvc2AoXlHUge/rf8tX73kqwSE56q4rvCiOcDNq29mQc4Cvv7S18eeC4VCPHr0UdaU\nrOGti97qp5kT8Kp5ciCZO9bfwRM1T7D7xG7A0PxI4AivHXuNOy+909f+E1Z41fzDqz5MeW45//Ti\nP409Z2r+lrlvmZTIrXlNFZIDydx56Z08WfPkmCMXqfkdl96hNbdBa67RaKYTXjyS64EbpZSfklLe\nI6X8x8iH3wbORI72HGVB9gLLL+UyYAhotnmv26YoOWk5rJyzkleP2Dv9kU1oAF47+hpg7BIkAi85\noACfuuBTPN/4PK8cfgU403nyqeNPkZqUyicv+KTfpo7DSyMak8+t/RypSal8+5Vvj83xJ/7EwpyF\n/M15f+OrnVZ41TwlKYU71t/BY3sfY1/bPqSUHBg8wI6uHdyxPvEORTyaf6TyI5Tllo3dsIRCIV7m\nZSqLKrluyXW+2mmFV82DSUHuvPTOsRsWKSUNgw1Ud1dPihMXj+Z/u+pvKc8t15orojU3bszr6uro\n6enx20SNRqOIF6f/CKB/e2NwpOeIZT4/GE4/2Kf4qOSArpu/jteOvWb7emTZS4A/H/kzhbMKWTR7\nkePcXvC6SLxn5XuoLKrkzhfuHDv0djp8mscPPc4nz/9kQlN7wHveLRi1qc1o/97WvbzR/gY7R3by\npXVfSljt70i8ag6wqWoT87Pn8w/P/QO/rf0tz8nnKM8s58YVN/ps5UTi0TyYFOSO9Xfw+L7HeXjn\nw/zm0G9oCDdMihMH8Wlu3rB89bmv8vjex3lOPseirEXcsPwGn62cSNyaX2po/mD1g1pzl2jNv8pv\n9vyG//fr/8dLe6y7r2s0msnDi9P/98C3hRBl/ppy9nC0Z2I3XhOnWv0qkaF1C9axp3UPvYO9lq8P\nDg6Oi/S/evRV1s1fl7AFwyxPp0pABPj6FV/nxUMv8nzj8wwODrKd7QyGB/nc2s8lwNLxxBONgzPR\n/nP/7Vw+v/vzZAWyuGXNLX6aaItXzcGI9t912V38tv63vOuxd9FEE59b9bmEpyRB/JrfvPpmymeX\nc/PTN/PDgz+kPFjOe1a8x08TbYlH82BSkLsvu5tn9z/L+594P0c4whdWfWFGaP6Ryo+wePZiNm3Z\npDV3idbc0PwpnmJXt87x12imGi9lC36FUXL+gBDiFEa2yhhSyjw/DJvJHO05ytXlV1u+lgnkY+/0\nq0SG1s5fS1iGef3Y61y1aGJuamR6z3B4mL8c/Qt3b7jbxU/gjXgWiXcsewcXzbuIT//u06zMW8lL\nvMQN5TfY3jz5STzRODCi/S9teolD3YfY+fpOskPZZAQz/DTRlng0B/jEmk9w7eJr6e/tZ/PPN3PD\nksRHPyF+zVOSUth52056B3t54Q8vMNg7SFIgyU8TbYlX84+u/ihvW/I2+nv6eeg/H+L6xdf7aJ09\nfmhefVs1faE+Xvj9Cwz0DmjNHdCan9H8gxUfpLu720cLNRqNKl6c/s/7bsVZxHB4mOO9x2M6q2XY\np/eYnRDdfNlWFFSQm5bLq0dftXT6IyP9e1r30D/Uz8ULLnbxU3gjnkVCCMF919zHJ//7k3Sc7mAl\nK7njojt8ttAaFc3tWFW0ilVFq+h/ox+ZPHndKONdmIUQlOaW0ny6mRRSxu0MJRI/NM9MySQzJZOk\n4STS0yavgrAfmpdkldDc10wyyTNS88BwQGvuAq15CS39LSSTTFpamo/WaTQaLyg7/VLKhxJhyNlC\nS18LYRme0I03EqcGXW6/bAMiwEXzLho7oBvN4OAgmZmZgJHPnxxI5vySxLRthzM5oFJKTylElyy8\nhD2f3kNTUxMPPfQQpXmlzm/yiXgXOJNIzSeDeDU3MX/2yXKGzGtpzbXmbtCaa801Gk38xJXUKIRI\nF0JkRz78MmymcuSkUaPfKdLfFGMOlUXi4gUX86fDf2JoZGI95chI/5+P/Jk1JWtIDyYuUpSamoqU\n0lNt50jM/NeZujBPtt1ac625W7TmWnO3+KW5dvo1mumDstMvhJglhPihEKIV6AO6oh5vamJ14zUp\nw6jVH7Z5XWWRuGH5DZwcPMm2pm0TXotcJF49+ioXz09cag+c+VKPd4Gb6dG4ybbbvG48aM3dozXX\nmqugNddOv0YzXfAS6f82cCXwKWAQ+DjwNeA48BH/TJuZHO05SnpyOrPTZtuOKcUQ7oTN66mpqa6r\nPVQWVVKeW84TNU9MeM1cJFr6WjjYdZB1C+zr80vg58Abrq5qjZ+LhBCC5GQvR068oaJ5LGbywqw1\nd4fWXGuugtZ88jXXaDTWeHH63wl8Wkr5BDAMvCyl/AZwB5D4bkTTnOO9x5mXPS9mDmTZ6J+xavW7\n/aIVQnDTipt4uvZpRsLj+/wODg6SkpLCUzVPkSSS2FC6wXae7wC3AJcCz7u68kT8XCRSU1MnpRa1\nidfuk9GYmk8WWnOtuQpac625W2ay5hqNxhovTn8e0Dj6957RfwP8CbjMD6NmMsf7jjM3a27MMW5q\n9at80d604iZO9J/g1aNnuvOGw2GGh4dJTU3lwZ0Pct3S6yjKLLJ8/y+Br4w+1gNvB7a4vvp4u8F7\nTWqTyY5ogT9b8JGaTxZac625ClpzrblbZrLmGo3GGi9O/0HOBKtrgfeP/v2dwJu+CO+xnmPMy5oX\nc0zO6OOwzeuqi8Ta+WspzizmyZonx54z339k8AivH3udTas3Wb63FvjY6ONbwDPAdRhRf9Wver8j\nQ5OJHwvzVOULR17bK1pz92jNteYqaM2106/RTBe8OP2/ACpH//4t4DNCiEHgu8C/+mXYTOV4r3Ok\nH2Ah9uk9qotEQAS4seJGnqx5EimNGvHm+//7yH+Tn57PO5a9w/K9TwBpwI8BAaQA/wx0AL91bYFB\nvI1oTCKbik0WM3Vh1pprzVXQmmvN3eKn5pOZlqTRaOxRdvqllN+VUn5/9O/PARXARqBKSvk9n+2b\nUUgpOdbrHOkHI8XHr0g/GCk+h04e4tn9zwLGF/UII2xp3MLfnPc3pCRZf+n+N3AtELmUrAQuwri7\nUyE5OZmkpKQZGRmaqQuz1lxrroLWXGvulpmsuUajsUbJ6RdCBIUQzwshlprPSSkPSSmflFLu8t+8\nmUXPYA+nhk7FHen3cvDryvIruWbxNXz06Y9yvPc4g4OD1FFH6+lWPrr6o5bvaQX+AljtAWwCnsUo\nyaSCXwvcZEeG/DhsN1Wl6bTmWnO3aM215ir4pbl2+jWa6YGS0y+lHAJWJciWGc+x3mMAzMuOP9Jv\nHtxyS0AE+OWNvySYFORDT3yI+/56H4/zOOvnr2d18WrL9/zP6J/XWbz2QYxUn1+6tuCM7TNxkfCi\neTRT0fjHvJ7WXGvuBq251lyFmaq5RqOxxktO/68wznlqojjea8TF3Ub6T44+ovF6gKpwViGPvudR\nXj78Mj/a8yPWs57fffB3tqXS/hu4ELCq6ZMDvAejdr9UsGGmLhJ+HFrT0Tg1tOZacxW05lpzjUYT\nH166ZSQDHxNCvBX4K9Af+aKU8ot+GDYTOdZjRPrdOP1m2c7DwHlRr0UuErNmzVKy4bLSy3j2b56l\n83AndS/VkZWRZTkuBPwB+GqMuW4GNgPVQJXL6/vRiGaqF2ZVzU3MxXGy0we05lpzt2jNteYq+KW5\nPsir0UwPvET6zwV2YNToX4bhD5oP6zySNwnHe4+Tl55HWnKa41jT6bfK6483MnTN4msoTSslJSXF\nNsr/EtCHdT6/yaUYB3y3KVzbr/zVqVjczGt7xbR7spvQaM215m7RmmvNVfBD86momKTRaKxRjvRL\nKa9IhCFnA24r9wAUA0FiO/3xRFicIlp/AOZypvaqFWnAxcBW4Asur5uamkpfX59bMycgpZyysnqQ\nWM0ThdZca+4WrbnWXAU/NNfpPRrN9MFLpF9jg9sa/WAIvwDrw7x+RYZifdG+gZHP7xQ3ugJjV2DE\n5XXjzQGdygNrkFjNE4XWXGvuFq251lyFmaq5RqOxxktOP0KItwDvwziPOm6vVEp5kw92zUiO9R7j\n3Dnnuh5vV7Yz0YuEBHYCn3Exz+XA3Rh5/ee7GB/vIjGVB9Yir++Fmbowa83V0Zprzd2iNddOv0Yz\nXVCO9AshPgi8AqwAbsTIUlkJXIl1MZo3DSqRfrAv25mcnIwQIu4Ii13uagvQjrvaqxcC6bjP6483\nB3SqFolEa55ItOZac7dozbXmKsSruY70azTTCy/pPXcAX5BSvhOjCMznMG4AHsO+9PxZz0h4hObe\nZlc1+k3sIv1CCF8iLHZftGYXtVj5/CapnMnrd0O81R6mapFItOaJRGuuNXeL1lxrrkK8mutIv0Yz\nvfDi9C8Gfjf69xAwS0opge8Ct/pl2Eyj7VQbI3JEOdLfjCFiNIlcJHYCmUC5y7muAF4G3LSWSU1N\nZWhoiHA47HL28UzlIjGTF2at+eSiNdeaq6A1106/RjMd8OL0dwJm8fdjGCU8AXKBDD+MmomYNfrd\nVu8BI9IvgaMWryU60n8e7v/zr8Coz/qGi7Hx5q/qhVkdrbnWXAWtudbcLTNZc41GMxEvTv/LwFtH\n//4b4HtCiP8AHgWe98uwmYZKN16TyAZd0fixrRor0u8mtcfkAoy7uRddjPVrkZiK/NVEap5ItOZa\ncxW05lpzt8xkzTUazUS8VO/5LEYJd4BvAkMYad9PAN/wya4Zx7HeYySJJApnFbp+z4LRP63y+v04\ntGb1RTsI1AKfVpgrBaNyz/+5GOvHIpGcnExSUpKn98dDojRPNFpzrbkKWnOtuVtmsuYajWYiXppz\ndUb8PQx8y1eLZijHe49TnFlMUsD9l1s6UIh9pH9gYMCTLbGa0NRg5OarRPrBcPp/62KceU2vUS0v\nEa2fAbdj7JysAO4HyjxcO1GaJ5qp0NwvtOaTj9Z88tGaazSa6YDr9B4hREAI8VUhxCtCiP8TQnxL\nCJGeSONmEsd6jilV7jEpxb5Wv9foyvDwMOFw2PLL1qzcc57inBcAB4Auh3F+RIZUFomjGN2CLweu\nBV4DbsM4K6FKojRPNJOtuZ9ozScfrfnkozXXaDTTAZWc/jsw0nn6MA7wfg74cSKMmokc71Or0W+y\nEPtIfyIOT+0EFnHmJLZbzMZcOxzGTeYiITHSlDKBR4AHgJ8AfwC2eLh2ojRPNDN5YdaaTz5a88nn\nzay5zufXaKYPKk7/zcCnpZTXSinfDbwT+JAQwsth4LOO473HlSr3mNhF+uPJAXVy+lVTewCWYTjX\nf3UYZ37Be7VdpQnNbzBSjn6EUToKjA/ldcDngdOK106U5olmMjX3G6355KM1n3zezJrrSL9GM31Q\ncdgXAs+a/5BSPocRbFUPb5+FHOs5FlekPzodJZ5qD7Ga0OzlTI1VFQIY0X4np18IEfcC53aR+Gfg\nHRhtoceuD3wPaAa+o3jtRGmeaCZTc7/Rmk8+WvPJR2uu0WimAypOfzIQfRJpCAj6Z87MZHB4kI7T\nHZ4j/QNAW9Tz5naw0fdM0R6byFAf0IIRtffC+cB2F+Pi3cp2s0g0YexafMTitaXARzEO+KqolwjN\nJ4vJ0DwRaM0nH6355KM112g00wGV6j0CeFAIEfnbnwb8RAjRbz4hpbzJL+NmCl5q9JuYtfoPYVTy\nMYmsmqD6pWm3SBwY/XOJspUGF2BUxumA/8/eecdHUe3v/z0JIQmQYKHbAJUiTQFBFFEsFMWC2AXL\ntfd27b3fa+Nartdb7AULKihIE0RAmnQQASmKdJCSQEhIOb8/np1kspndnd2dDfr7zvN65RWYOTt7\n8uzsnOd8zvP5HPaP0q46BokvUSnRPhHOXwj8B5UZ7eLxvVPBeXXhzzowB5xXPwLOqx8B5wECBPgj\nIJ5I/zvAJmCH4+d9YF3Ysf9zsEV/ItV7Dg79Dk/mTSaBKtKGKD+Hficq+r0m8ya7HOzFdzscOInI\nCck90CTqkzjeOxWcVxeqg/NUIOC8+hFwXv0IOA8QIMAfAZ4j/caYK1LZkT8z1uavBRKL9O8H1KZq\nMm+yg0RaWho1alT+eJejhNdoUfpoOAzIRb7+U6O0S8a/6iUytA3tDvxqlDbpwLlI9D+Lt9ltKjiv\nLqSa81Qh4Lz6EXBe/fi/ynmQyBsgwB8LQeUdH7Aufx21MmpRN7Nu3K+1cC/bmcymKPbgZllWpePL\nkXC3XF8VG3YybyxffzLLwV4Gia+BUlSpJxouAH4DZnh871RwHgujgHtRbsKLcb9rBVLNeaqwNzj3\nCwHn1Y+A8+pHYO8JEOD/HwSi3wfYlXsSfSi7le1MNjLk9qC1RX8y6Ii3Wv2J9Lu0tJSSkpKYg8Rw\nlF8Qy0x1HNAY7xafVHAeDbNQ9aEPgcXAncBbcb+zkGrOU4Xq5txPBJxXPwLOqx9/Vs4DBAhQFYHo\n9wHrdiZWo9+GW6Q/mfrIkXyUfoj+9sAqID9Km0Q9oF4S1oqB0cBZHq5nW3w+xVsVn1RwHgklwLVo\nZ+QVaAJwJdpsbH7c755azlOJ6uTcbwScVz8Czqsff1bOAwQIUBWB6PcBidbot+F3pN9tGbsAbaOc\nrOhvF/r9Y5Q2iUaGvAwSC9CE42SP1+yH/u4lHtr6zXk0vALMRRWGMhzHWqGJSkGc759KzlOJ6uTc\nbwScVz8Czqsff1bOAwQIUBV/GNFvWdaNlmWtsixrt2VZ0y3LOjpG+/Msy/op1H6+ZVl9Xdo8blnW\nOsuyCizLGmdZ1mGOc4dYlvU/y7JWhs7/bFnWo5Zlxb3vQKK78do4BJXB3OU4lp6eTo0aNXxbDrbL\ndR6eaCdDaI0i6AuitEk08cvLJjQzUPb5UR6veWyo/UQPbf3mPBLWAw8BN1K5nGg28BH6rOKpOgSp\n5TyVqC7OU4GA8+pHwHn148/KeYAAAariDyH6Lcu6AHgBeATpufnAGMuy6kVo3w1Zof8LHAkMA4ZZ\nlnWEo809wE3IRdEFaeoxlmXZ66StUE7r1cARwO3AdcBT8fTdGMPa/OQi/dHKdvo1SCwP/U420p+F\nNvdaGKWN3e94N6LxEhmaCXQI9cML6qAP/1uP7f3kPBI+QvaeJ1zOtQR6oRWAeJBKzqNhF/ATUJbQ\nqyl/7z+rGNobnPuBgPPqR8B5gAAB9jb+EKIfCe5/G2PeNcYsQeK7APhLhPa3AqOMMS8aY5YaYx5B\n+aU3hbV5whjzlTFmESqQ0gQ4G8AYM8YYc6UxZrwx5hdjzAjgeSCuzcXyivIoKC5IqEa/DXuDrlSL\n/hygfiIdDEN7Ykf6y8rKKCkpieu6XgaJGUDXuK4KJ6JIv5chqzoG5qFAb1Q+1Q1XA9OIPrEKRyo5\nd8M0dB/kohnzdcS3+7ETf2YxVJ2c+4mA8+pHwHmAAAH2Nva66A/ZaToB4+1jRiGFb4BuEV7WLXTe\niTF2e8uymgONwq6ZhzRjpGuCdNjWePqfTI1+G02QZcbN1+9X4ley5TqdaIdEfySRl6h/NdYmNNuR\nNz9e0d8T2Iwq5MSCn5y7YQ0wFfn2I+FMoCFaxvKKVHHuht3AIGSb+g9aovsv8Fhc71yBVHOeKlQn\n534j4Lz6EXAeIECAvY29LvqBekjzbgw7vhEJdzc0itG+IdKknq8Z8vvfBLzuqdchlO/Gm4SnvwYq\nPxku+rOysigsLIz7eoWFhWRnZ1c69jPJ+/lttEcCfG2E81lZWeX9iAe7d+/GsnqoXJ4AACAASURB\nVKyIg8Ss0O8urmcj41iULOvF4uMn5274LNSXaHsMZABXAO/hPaE3VZy74Qm0/8EQVHHoDuAZJPrf\njuvdhVRznipUJ+d+I+C8+hFwHiBAgL2NP4LojwSL+BwDXtq7trEs6wC0T9LHxpg343hP1uZJ+jbO\naRzPy6rArWxnIoOEMYbdu3eXP6ht+FGu00b70O9IFh97gNq9e3dc17UHt0j7HcwA6qKcgnhQC60O\npEr0R+LcDUORZz+StcfGVWhi9ZnHPqSK83AsAJ4DHkT5BzbuAS4CHgDiTflLNefhKEb2pKfQCkWi\ntqTq4jwVqG7O/ULAefXjz8x5gAABKmPv7OtdGVvQBqsNw443oGqk3saGGO03IIHfMOwaDVClxHJY\nltUEmABMMcZc66XDt99+O3Xravfdn3//mYxtGXzR4gsuuugiLy93hVvZzuzsbHbs2BHXdYqLiykr\nK6sUGdqNIrN+if6DkZd7IXCay/lEB4ndu3dHjWjNBI4msZnqicC/UMJptNf7xbkb1gHfA15mlYcC\nx6CNyAZ5aJ8qzsNxN1oxuifsuIUE/xBUeWhgHH1IJefh2InuoSUoyXsnmhD/jfitb9XFeSpQnZz7\niYDz6keinH/99deMGDGCyZMnlx+L9+8PECCAv9jrot8YU2xZ1mxUev1LAEuhgZOBlyO8bJrL+VND\nxzHGrLIsa0OozYLQNXNRwPef9gtCEf4JwA9EThqugsGDB9OxY0cAbvr6JjJ+zUhK8IOE9JSwY1lZ\nWQkNbkClQWJV6PehiXevEiwqfP1uSGY5OFJEy6BI/1VxXbECPYEngUVUrFS4wS/O3fA58rF52VgM\nNKF6HkWmY9WRTQXn4dgAjEP+N7cF+zZoFWMwcAneRXQqOQ/HA2hy/S3QHT0MbkOTwWeJT/hXB+eR\nEGvyGgvVybmf2JucJ4v/a5wfc8wxHHrooVx1VcVTe86cOXTq1MnX/gUIEMA7/ij2nheBayzLutSy\nrFZIV9QiZBG2LOtdy7KedrR/CehrWdYdlmW1tCzrUZQM/KqjzT+ABy3LOsOyrHbAuyiPcnjomo1R\nUZfVKIDZwLKshpZlha8gRMW6/HVJVe6x0TTUOWd9hOzs7LgftHZ75wC3MvTbL9EP0UV/RkYG6enp\nCS8Hu2E1WrKJN4nXxjFIcH8fo51fnLvhGyQ09/V43dOAPJT4Gwup4DwcnyAOB0RpcwcqozU5Sptw\npJJzJ6ahDdCeQCs/NVCJr3+gydXYuHpQPZw7kYcsScehh+PDJGdNqg7O/UZ1c+4nAs4DBAiwt/GH\nEP3GmE+AO4HHkf2mPdDbGLM51ORAHAm4xphpyEJ8DTAPldk8yxiz2NHmWTTG/xsFibOBvsYY23Lc\nC2gOnITcL+vQvknr4un72vy1NKmTeOUeG02Rx8mZHJudnc3u3bvjqo/sFhlaCWQCyWUdVEZ7ZJGI\n5N+2+x4Poi3B/xD6HXXHtiioher7z4jRzi/Ow1GGVnJ6eL6qNqxoCHztsb3fnIdjCNAH2C9Km16o\nhOfgOPqQKs6d2INWiTojoe/ELei+esbzu1cg1Zw7cSUS/Y3Q3/IEcD16bsSL6uDcDTvQ5CUZVCfn\nfmJvce4H/qycBwgQoDL+EKIfwBjzmjGmqTEm2xjTzRgzy3HuJGPMX8Laf2aMaRVq394YM8blmo8a\nY5oYY2oZY3obY5Y7zr1jjEkP+0kzxqTH028/I/1QYcWBiuhOPKXSItl7muLvh90OrUosiXA+0ahW\npIjWfDRpiVTOyQu6Elv0+8V5OJagXZe7e76qPq8+xCf6/eTciZXAdDTTjgYLuBn59DbHaGsjVZw7\n8Rkq2fpfqnoaLeB+4DtirwSFI5WcOzE09PMW+lteRbkh/0XRknhRHZw78TFwCirVdjDyVCaK6uLc\nb1Q3537iz8p5gAABKuMPI/r/jCgzZazPX59UjX4b9q68vziOJZJAZbd1PmxXAc2S614VtAn9/jHC\n+UT9q5EGiYVA27iuVhVdkfjeHqWNX5yHYzKyxkTbJMINp6E8hN88tPWbcyc+QqslZ3q45jnIdvKV\nxz6kinMn3kW2mA4Rzp+JVijijfanknMbvwM3ol0Fz3ccvwJ4GuUl/BJXD6qHcxuTgAvRisQ/0Pew\nN5rAJILq4NyJpei+6If3CbgbqpNzv1HdnAcIECA1CER/Eti4cyOlptQX0Z+FItm/OI4lMkgUFhaS\nmZlJWlrFR5sK0b8v2ltgUYTziUSGoi0HL0KrC8nAzgf4IUobvzgPx2Rk16nj+arCqWiyMMpDW785\nd+JDlIBc28M1GyCBPcxjH1LFuY0NyK8frQpSGnAfMBL5Bb0ilZzbuBclc79G1UTjm9B38am4epB6\nzm3sQhUSuqOdEm8ERoSO/YX4cj9sVAfnNl4FWiF+VyPh/yyJ5VJUF+c2ytDK1R1oJSv+HQIqUJ2c\nBwgQIHUIRH8SWJO3BoCDcg/y5XpNqSz6E6maEB5dMcia0dyH/oWjLZEj/fF6QEtLSykuLnYdJHah\nvyHZSH8LVOc/msXHD87dMBk43vMVK7Av2lzMS4TRT86dWIk+5/OjtqqM/kho7/TQNlWc2xiCLD2x\n+n8hSh76j+depI5zG9uB94G7cM/JqY2qELxNZWtgLKSacxv3oySpN6kYbDJQ+dyjQufjFdCp5tzG\nEuCvwHXIqjYPTQzvQf2OF9XFOWhTv85osvURyrHpTtW9YLyiujgPECBAahGI/iRgi/4Dcw/05XpN\n8cfe43zQ/o6El9+RfpDFJ1KkP97l4GjL2IuRMEg20p+GdvONJvr94Dwcq0M/iYh+ULR/IrETNv3k\n3IkJiLuenq8sK0oRMNpD21Rw7sS7aAfkWFWTagAXIM+81+TYVHFu4xOUhHxZlDbXo+TqeKL9qeYc\nlIfzMrIghe8Gnob6OwVv94gTqeYclK90Gdo/5UVUBcLu86PAC8AKz1cTqoNzG/cBP6GJ9xoU8d+C\nJgJr4r5a9XAeIECA1CMQ/UlgTd4aMtMzqVerni/Xa0Zl0Z+ZmYllWXEvB7vV6E+F6G+LosC7XM7F\nuxxst3Ub4BYiW8MRiXQyDMcg0R8puugH5+GwLQzxJPE60QNVPYk0wbLhJ+dOTED1cOt6vrJWltrj\nzeKTCs5tLEIRWi8bnIFWAzYhH7oXpIpzG28h/3s0A2FttBLwDhJ2XpBKzm38G/X7pgjn+6DvxAPI\niuIVqeYcJOpnIU7DX3UXsrA96PlqQnVwDvq+vow2nDsVDfIdqbA1PhTX1YTq4DxAgACpRyD6k8Ca\nvDUcmHugb9uMN0UJm8Wh/1uWFffW7eEVE2zRnyp7j0ERpXDYkSGv5emiValYhPYYqJVoRx3oipbq\nf4lw3g/OwzEF+YLre+9mJXRBm2HFEqJ+cm7DIBFxkqcrVsbZyL8dqayrjVRwbmMIioL39Xjdo1F0\n9xOP7VPBuY0lqGLSFR6uOwh9Vp956kVqOQftAv4hcDmRd4C00CrAXOALz71ILeegFarnka3nGJfz\ntYDHkG1mlsv5SEg15wD56H7piapoOVEf9fsd4stbgdRzHiBAgOpBIPqTwJr8Nb5Ze0Civ4zKy6+J\nLKuGb8y1T+jHb9iRd7cIdHZ2NqWlpZSUlLicrYpoy8ELSd7aY6NL6HcsX38ynIdjColbe0CRxi7E\nFv1+cm5jCdoULRHR3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9bxDZvBvADN68IdN6tNrVqV+w3JcW6Q6L80zn6DhPJf/6r+16gB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\nIs6Dfuecc84554o4D/qdc84555wr4v4fOHf4NxYZQMMAAAAASUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7feb7ea42b10>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "with new_plot(ymin=0.0, ymax=0.01):\n", | |
| " draw_graphs(np.sin(np.arange(200) * math.pi * 0.1).reshape(-1, 1) * 0.5 + 0.5,\n", | |
| " [\n", | |
| " SGD(),\n", | |
| " MomentumSGD(),\n", | |
| " Adagrad(),\n", | |
| " Adadelta(),\n", | |
| " RMSProp(),\n", | |
| " Adam()\n", | |
| " ])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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/G2l+kj33kpaUZthORx832YpcN8IIO+jW2QCkHtsR8v2uhTROK5GFS+Gwk26A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\nXugq4MyumNQ3DQ2+HAYUe2h0K5NaDLJCRQscryLO1tyFprwIJ9CifT9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ISvbvd7BnT5j3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\niFLIiBBCCCGEEEKU4v8DRp4b6+/ERh0AAAAASUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7feb7dcf9690>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "with new_plot(ymin=-0.002, ymax=0.002):\n", | |
| " draw_graphs(np.sin(np.arange(300) * math.pi * 0.05).reshape(-1, 1),\n", | |
| " [\n", | |
| " SGD(),\n", | |
| " MomentumSGD(),\n", | |
| " Adagrad(),\n", | |
| " Adadelta(),\n", | |
| " RMSProp(),\n", | |
| " Adam()\n", | |
| " ])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Asymptotic inputs" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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7vLBV+eWVUnUxLv9fOOYlYEuhmO2AC1rr3wrF+A7QQNu89ylArlJqmFLKoJSq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\nnO0G7JB5DwEfdz5pR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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7feb7c1cb7d0>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "with new_plot(ymin=0.0, ymax=0.001):\n", | |
| " draw_graphs(1.5 / (np.arange(200) + 1.0).reshape(-1, 1),\n", | |
| " [\n", | |
| " SGD(),\n", | |
| " MomentumSGD(),\n", | |
| " Adagrad(),\n", | |
| " Adadelta(),\n", | |
| " RMSProp(),\n", | |
| " Adam()\n", | |
| " ])\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Sparse gradients\n", | |
| "These sort of gradients (are said to happen) in NLP" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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Wlit1f0iU9kFi5gZn0kokwiUfcysSQfBxLomBiASjk4/tiHNJDM5thw4dwuFw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\ncCL5BkV8KYcAAAAASUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7feb7c18e690>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "with new_plot(ymin=0.0, ymax=0.002):\n", | |
| " draw_graphs(np.maximum(2.0 * np.sin(np.arange(50) * math.pi * 0.1).reshape(-1, 1) - 1.8, 0.),\n", | |
| " [\n", | |
| " SGD(),\n", | |
| " MomentumSGD(),\n", | |
| " Adagrad(),\n", | |
| " Adadelta(),\n", | |
| " RMSProp(),\n", | |
| " Adam()\n", | |
| " ])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Noisy gradient\n", | |
| "Be more realistic to the real-world gradients" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 11, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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L6tGxY0f27t1LaGgoQ4YMKbffli1b6Ny5M02aNDHIOdwtMzMTV1fXak3ag+pN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\nJ04wceJEPDw8eOONN6itrWXBggV4eHiYxff222/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bYKjec669AutKPIEr9Y/brmapoiiK\nonQx9rRvL3xn0Gg0vPPOO0RFRfHpp5/y8ssvN9nukUce4amnnsLFxYX77ruv1edpKPmZl5d3Q/E2\n1rt3b/R6PRkZGSaLiOXn51NSUoK/v79J+8zMTLNjpKcbVki6uq3SvNZU7zmCYRSLBOLqv254JAF/\nA95o7wC7As/6jzdrb7+iKIqiKLeecePGMWzYMD766COzUpcNZs6cyYIFC/jss8+anJDboHGVn8a+\n//57gGZX+G2L+++/HyklH330kcn2hQsXIoRg8uTJJtvPnz9vUqKzrKyM//73vwwaNEgN7WmF1gzv\nCcBQoTIbGAYUNNpXA+RLKXVNPfFW1zjpD+zMQBRFURRFuSU1N5zlpZdeYtasWSxbtqzJRbG6d+/O\nq69ev2T3888/T0VFBdOnTycsLIyamhr27dvHN998Q2BgIPPmzbvh19BgwIAB/OY3v2HJkiUUFxcz\nbtw4Dh48yNdff82MGTNMJvGCYfz+U089xU8//YSnpydLly4lPz+f5cuXt1tMt4MWJ/1SyoZZFW2p\n7X9LUz39iqIoiqJ0pObGv8+YMYM+ffqwcOFCnn766Wu2vdbxFi5cyNq1a9myZQtffPEFNTU1+Pn5\n8bvf/Y5XXnnFZJKuEKLF52iu3dKlSwkKCmLZsmXExsbi5eXFX//61yYvUIKDg/nkk0/405/+xKlT\npwgICOCbb74xqwqkXJto60QIIUQ/wI+rJvVKKTe2Q1w3JSHEYCApKSnJOJEGQIfhm7AIeKaTYlMU\nRVGUm1lycjIREREAEVLK5PY8dnPvz0rXFxAQwJ133snGjbdsenlDWvN31ZaSnYFADHAnhvH9DZdw\nDVcPFq09ZldngWFS0A90ftJ/ufoyjjbmS2griqIoiqIot6+2DNX5F6DFMKqlAugPjAUSMZTzvC1J\n4GhnxyAlI78aySs7X+nkSBRFURRFUZSbSVuS/hHAq1LKAkAP6KWU8cD/Az5uz+C6EkeguJNj+On8\nT5zIP8FY/7GdHImiKIqiKMqNa+n8AeX62rI4lwVQXv95IdATOAXkAO1Xz6mLccZw+6MzLU1eSq/u\nvbg38N5OjkRRFEVRFOXGZWdnd3YIt4y29PSfABoW6joIvCyEGAW8iqGc523JE6jm54kNv7QrNVdY\ndWIVj4c/joXmtptWoSiKoiiKolxDW3r63+LnhWdfBb4DfgQuAbPbKa4upyeGhL8M6NEJ51+bupbL\nNZeZF95+dXQVRVEURVGUW0Ork34p5bZGn2cCYUIIF6BYtrX+5y2gd/1HLRDeCedfengp4wPHE+Ac\n0AlnVxRFURRFUW5m7bLQlpSy6HZO+AGC6z+mdsK5TxWeIv5MPE8OerITzq4oiqIoiqLc7FrU0y+E\nWN/SA0opZ7QlECHEb4E/AV4Yql8+L6X86RrtZwFvYOhkTwf+IqXcclWbN4CnACdgH/Bc/d2Jxm0m\nA3/HME+hCtjdltcQVv+x/JqtOsbx/OP49fBjWti0Tji7oiiKoiiKcrNraU9/aaNHGXAPMKTR/oj6\nbaVtCUIIMRtYCLwGDMKQ9G8TQrg1034EsBL4AsNomlggtn6V4IY2fwZ+h2G9rGHAlfpjWjdq8xDw\nNbAUw2JjI+uP22r+9R+92/LkGzSz30yyf5+NraVtJ5xdURRFURRFudm1qKdfSmmcHSqEeA/4BnhW\nSqmr32YBLMJwQdAWLwCfSym/rj/es8Bk4Ang/Sba/y+wRUr5Qf3XrwkhJmBI8v+nUZs3pZSb6o/5\nGHARmAZ8Ux/zR8CLUspljY6d1pYX4I5haeKLbXlyO1AVexRFURRFUZTmtGVM/xPAPxsSfoD6zz+o\n39cqQggrDHcKdjY6ngR+wLAQWFNG1O9vbFtDeyFEIIZhQo2PWYahxGjDMSMwFN1BCJEshDgvhNjc\n+G5Ba1gCrnRe0q8oiqIoitKUnJwcNBoNX3/9dWeHonSitiT9lvw8hL2xsDYezw3Dgl9X58sXMSTu\nTfG6TntPDBU0r9UmAEPn/GsY5gZMxrCo7h4hhFPrXsLPJ1VJv6IoiqIoHWXRokVoNBpGjGiuX1RR\nmtaWOv3/AZYKIYKAQxiS67uAv9Tvay+C1q111ZL2jds0XKC8JaWMBRBCzANygVkY5gs06YUXXqBH\nD9Nq/HPnzsVz7lyV9CuKoii3vVWrVrFq1SqTbaWlbZr2p1xl5cqVBAQEcOjQIbKzswkMDOzskJQu\noi1J/5+AC8CL/DxvNQ/4PwyTcVurENBh6ChvzIPmO84vXKf9BQwJ/tWd7x7A4UYxA5xs2CmlrBFC\nZAN+1wr4ww8/ZPDgwWbbNwHnr/VERVEURbkNzJ07l7lz55psS05OJiIiopMiujVotVoSEhKIiYlh\n/vz5REdH8/e//72zw1K6iFYPx5FS6qWU70spfTCUwnSSUvrUb9Nd7/lNHK8WSMJQ/QcAIYSo/zqh\nmaftb9y+3r3125FSajEk/o2P2R0Y3uiYSUA1ENqojRWGEqA5rX0doIb3KIqiKIrScaKjo3F2dmby\n5MnMnDmT6OhoszalpaU8/vjjODk54ezszLx58ygpKTFrd/z4cebNm0dQUBB2dnZ4e3vz5JNPUlRU\nZNJuwYIFaDQaMjIyePTRR3FycsLDw4NXX30VgLNnzzJt2jR69OiBt7c3H3zwgdm5lJtDmxfnEkJ4\nAAOBAUII9xuM4wNgvhDiMSFEGLAYsAeW1Z/rayHEPxq1/xdwnxDij0KIUCHEAgwTcz9t1OYj4G9C\niAeFEHdiKM2ZC2wAkFJerj/P60KIe4UQIcC/MQz/WduWF+GJ4Uqj1Vc+bfCvA//iyIUjv8CZFEVR\nFEW5GaxcuZKZM2diaWnJ3LlzycjIICkpyaTNlClTiI6O5rHHHuPtt98mNzeX3/zmNxj6U3+2Y8cO\ntFotTzzxBJ9++ilz585l9erVTJ482aRdw/Nmz54NwHvvvcddd93F22+/zUcffcSECRPw9fXlvffe\nIzg4mJdeeon4+PgO/C4obSalbNUDcAT+C9QB+vpHLbAC6NHa4zU67v8Ap4FKDD32QxrtiwO+uqr9\nQxjKa1YCx4CJTRxzAYYRNxUYqvv0uWq/BYaSoHlASX2bvteIcTAgk5KSZFMW1jfc2OTe9nO29KzU\nvK6Ri39a3MFnUhRFUZT2kZSUJDF0rA2WbcwVmntc7/35VpCYmCiFEDIuLs64rVevXvKFF14wfh0b\nGyuFEHLhwoXGbXq9Xo4dO1ZqNBq5fPly4/aqqiqzc6xevVpqNBoZHx9v3LZgwQIphJDPPfeccZtO\np5O9evWSFhYW8p///Kdxe0lJibS3t5fz5s278RestEhr/q7aMqb/SwwLaE2uT84lhkWt/gV8Dsxp\nwzGRUi7CUOu/qX13N7FtHbDuOsdcgCHxb26/Dni5/nHD+tR/PAU82B4HbMZXh7/CztKOuXfOvX5j\nRekAFy5c4ODBg0yZMsWs90i5vaWmpnL27FkmTpzY2aEoSrMqKiCtTavytFxYGNjbt9/xoqOj8fLy\nIjIy0rht9uzZREdHs3DhQoQQbNmyBSsrK5599lljGyEEzz//PD/++KPJ8WxsbIyfV1dXU15ezvDh\nw5FSkpyczKhRo0yO8eSTTxq/1mg0DBkyhA0bNjBvnnEpJ3r06EFoaCjZ2dnt98KVdtOWpP8BgfPn\nqQAAIABJREFUDL3qje/dbBNCPA1sbZ+wuiaf+o9ZHXgOnV7Hl8lfMveOuXS36d6BZ1KU5p06dYoj\nR44QGRlpVslKub0lJiaSk5PDPffcg6VlW95iFKXjpaVBR88pTkqCJmp+tIler2fNmjVERUWZJNTD\nhg1j4cKF7Ny5k/Hjx5OTk4O3tzf2V11thIaGXn1IiouLWbBgAWvWrCE/P9+4XQjRZKUlPz/TGic9\nevTA1tYWFxcXs+1XzwtQbg5t+Y98CWiq7lYphjr3t62GckJnOvAc27K2cbbsLPMj5nfgWRTl2hr+\noefl5amkXzGqq6vj7Nmz6PV68vLy6NWrV2eHpChNCgszJOUdfY72EhcXR15eHqtXrzYrhSqEIDo6\nmvHjxyOlbPLuq5TmFc1nzZrFgQMHePnllxk4cCAODg7o9XomTpyIXq83a29hYdGibc2dT+l8bUn6\n3wI+EEI8JqXMAxBCeGEo2flmewbX1XjUf+zIsp1LkpYQ7hXOkJ5DOvAsinJtDUn/hQsXCGvPdzal\nS8vNzaWurs74uUr6lZuVvX379cL/ElasWIGnpyeLFi0yS6jXrVtHTEwMixcvpnfv3uzatYuKigqT\n3v5Tp06ZPKekpIS4uDjefPNN/vrXvxq3Z2ZmduwLUTpVW5L+5zAMX88RQjR0avthKH/pLoR4pqGh\nlLIL/UndOOv6R0EHHT/vch7fpX/HJ/d9osZRK53q0qVLgCHpv1EJCQk4OzvTt2/fGz6W0rm0Wi12\ndna4ubmRm5vb2eEoyi2hqqqKmJgYZs+ezfTp0832e3t7s2rVKjZu3Mj999/PkiVL+Pe//82LL74I\nGIYGffKJad7Q0EN/dY/+hx9+qPKLW1hbkv7Ydo/iFuKIoQxQR4g+Ho2lxlJN4FU6VWVlJZWVlTg5\nOZGXl3f9J1zH/v37cXV1VUn/LUCr1RIQEICTkxPHjx/v7HAU5ZawYcMGLl++zJQpU5rcf9ddd+Hu\n7k50dDSxsbGMHj2av/zlL2i1Wvr168f69eu5fPmyyXMcHR0ZO3Ys77//PjU1Nfj4+LB9+3a0Wq0a\nmnMLa3XSL6V8vSMCuVW4AhkYaoS246R9AB4MeRAvBy+cbJ3a+ciK0nINQ3v69etHQkKC2W3k1qis\nrKS8vJzKykrq6urUxM8urKamhnPnzjFp0iQcHBxISEigtLRUzflQlBu0cuVK7O3tGT9+fJP7hRBM\nnjyZlStXUlxczMaNG/nDH/5AdHQ0QgimTp3KBx98wKBBg0yet2rVKp5//nnjkKGJEyeydetWevbs\n2eLe/ubaqbsFNyf1DtvOQgA7OuYbG+oWSqib6Qz8nJwc0tPTGT9+vPojU34RDUN7+vfvT0JCAhcu\nXCAwMLBNxyosLARAp9ORm5tL79692ytM5ReWk5ODXq8nICAAW1tbwDCuXyX9inJjNmzYcN02X331\nFV999ZXx62XLlpm10elMlw719vbm22+/vW671157jddee82s3X/+8x/+85//mG3ftWvXdeNVOker\nV+QVQuiFELrmHh0R5M1KSsnx48eprq42bgvAsCKv9S8Uw6FDh0hISODkyZPtfuwrV66wadMmk9en\ntExlZSXffvstFRUVnR1KuysqKqJbt254e3tjZWV1Q0N8CgoKEEJga2vL6dOn2y9I5Ren1WpxdHTE\n1dUVBwcHnJyc1Lh+RVGUm0irk35gOjCj0WM28C6GVW1vqzqS2dnZrF+/3mQJbE/g4i90fr1eT3Z2\nNhYWFmzfvp3a2tp2Pf6JEydITk7myJEj7XpcMCTFWq3WbJzhrSI9PZ2UlJQOuRjrbEVFRbi6uiKE\nwMvL64Ym8xYUFODs7Iy/vz85OTntGKXySzt9+jQBAQHGO46+vr6/SNKflpbGsWPHOvw8iqIoXV1b\nxvQ3dZ/pWyFECoYLgKU3HFUXIKVkz549gCH5HzlyJAC9MVTvyQV8OziG8+fPU1VVxbRp09i0aRPx\n8fFERUW12/EzMjIAw92EYcOG3dDwocrKSlJSUjh37hxnz541DhEBQ3IQFhZGWFgYrq6uNxz3zUCr\n1QKG5D+io1eA+YUVFRXh7u4OgJeXl/G1tkVBQQHu7u74+/sTFxd3Q+P6q6ur2bVrF5GRkcbhJcov\no7Kykry8PIYNG2bc5uvry8mTJzt0rkZ+fj7ffvstlpaW9O3bFysrqw45j6Ioyq2gLT39zTkAND3L\n5Bak1Wo5e/YsAQEB5OTkGGtTTwEcgC9+gRiysrKwsbHhzjvvZMSIEezbt4/i4vZZH62mpobTp0/T\nr18/ioqKbrh2b2xsLJs3b+bixYsEBAQwffp0nnvuOaZNm4aDgwO7d+/m008/5csvv+zyw4mklGi1\nWmxtbcnOzm73OzCd7dKlS8YVGL28vCgsLKSmpqZNx2pI+nv37k1dXR3nzp1rc1zZ2dkcPHiwQ+5M\nKdfWMDSr8ZwMX19fdDpdu1R4akpdXR3r16/H0dGR6upqszrkiqIoiql2SfqFEHbA7zF0cN8W9u7d\ni7e3NxMnTqSuro4zZwxLFjgCj2JI+js61cvOziYwMBCNRsOYMWPo1q0b27ZtM2tXV1fH6dOnW1WG\nS6vVotPpuPvuu/H29ubgwYNtjrOyspLMzEwmTpzI/PnzmTx5MgMGDMDDw4OBAwcye/ZsXn75ZWbN\nmkV+fr7xDkpXVVxcTFlZGWPHjqWurs5kyfSurqKigqqqKpOkHzBZwr2lqqurKSsrw93dHU9PT2xs\nbG5oiE/DUJLDhw+rknMdpLS0tMmLcq1Wi7OzM05OP1cW8/LywtLSssOG+OzevZuCggIefvhhevXq\n9Ytd7KWkpJCenv6LnEtRFKU9tWUib7EQoqjRoxi4DDwBvNTuEd6Ezp8/T05ODuPGjcPDw4Nu3bqZ\nJHbPYpjgsKkdzqWX5kthgyFhOnv2rLFqirW1NRMmTODUqVPGXnm9Xs+RI0f49NNPWb58eavqZmdk\nZODi4oKrqyvDhw8nKyvLWGmltdLT09Hr9fTr16/ZNlZWVvTr148xY8Zw8OBBCgo6aomzjqfVahFC\nMHjwYFxcXG6pBKGhXGfDMCwPDw80Gk2benMbfsbu7u5oNBr8/f1vaDJvbm4ujo6O5Ofn39AdA6V5\ny5YtY9myZWZ3dhrG8zdmYWFBz549OyTpz8nJYd++fURFReHt7U14eDjZ2dmUlZW1+7mutmvXLjZu\n3HjNu1t6vf6Wna/UUpWVlSQkJJgt/qQoSudpS0//H4AXGj1+DzwA+EspN7ZjbDetpKQkvLy8CAkJ\nQQhBUFCQSdI/EBgBLG6Hc90XfR8Ldi8w296wgEZQUJBxW79+/ejduzdbt27l5MmTLF68mA0bNuDj\n44O/vz979+5t0T9gKSUZGRkEBwcDhtKM3bp149ChQ216DampqfTq1QtHR8frth0xYgROTk5s3ry5\ny/bWarVafHx8sLGxISQkhPT09C77Wq7WMBejoaff0tISd3f3Nk3mbUj63dzcAPD39+fs2bNm5eJa\nQqfTcf78eYYPH06PHj1ITk5u9TGUaysrK6OkpIQLFy6wbt064/+S8vJyCgoKzJJ+AB8fn3ZP+qur\nq4mNjcXPz884l6pfv35YWFjc8ITe6urqa/6tVldXc+nSJa5cuUJiYmKz7bZv385nn33WpmFvt8L/\nCikl69evJz4+nitXrnR2OIqi1Gt10i+lXH7V479Syq1SyvYZTN4FnD9/nnHjxhkntgYGBpKXl2fy\nz20qsAO4kdQjpySH7VnbCXAyfzPNysrCxcUFZ2dn4zYhBPfddx9FRUV88803ODg48NRTTzFr1iwm\nTJjApUuXWtTbn5+fT1lZmTHpt7S0JCIigiNHjlBVVdWq11BdXU1WVtY1e/kbs7S05L777uP06dOk\npKS06lw3g4bx/A1jm0NDQykvL+f8+fOdG1g7KSoqwsHBAWvrn4vStrWCT0FBAU5OTsbJlw3j+tvy\nvbp48SJ1dXX4+fkRHh7OiRMnuvzckJtNQ/I+depUMjIy2LFjB/DzpPWm1ljo1asXZWVl7doDv3Xr\nVioqKpg2bRoajeEtzNbWlr59+3L06NE2J82VlZUsXLjwmnfmLl401Gbz9fUlISGhyaT+4sWLHDp0\niOrqatLS0lp8/pqaGtavX8/HH3/c5e9U7dmzh8zMTB566KEWdfYoivLLaM+JvLcNV1dXQkN/XiSr\nYYhN4yomE+s/voNh7On27duNk31bKvp4NPZW9szoO8NsX8N4/qt5eHjw8MMP8+tf/5rHHnsMHx8f\nAHr27ElISEiLevvT09OxsrLC39/fuG3IkCHodDoOHz5s0ra8vJwffvjB+GbY1LF0Oh19+/a97utt\n0KdPH8LCwti+fXubE7cLFy60eTjSjSgoKKCiosLY69mrVy9sbW1vmSE+DeU6G/Py8uLixYut7qEv\nLCw0VgFqOI61tXWbhvjk5uai0Wjw9vZm0KBB1NbWdsmLxpvZ2bNn6dGjB+Hh4UyaNIkDBw6QmJiI\nVqvF3d0dBwcHs+f4+voan3u12tpaiouLOXv2LCdPnuSnn3667s/+9OnTHDlyhEmTJpl0eAAMHDiQ\nwsLCJhPmo0eP8vnnn1+z571h0v215uDk5eVhYWHBtGnTqKysNOvtl1KyZcsWXFxc8PX1bfGdh6Ki\nIpYuXUpaWho2Njb85z//MSkF3ZVkZGSwZ88eoqKiTO5EK4rS+dSKvG0QERFhUr7S0dERDw8PsrKy\nuOOOOwAYANgC3+v1hO3bh2X9ZNqZM2cah0ZcT/TxaKaHTcfRxrSnpLi4mKKiIu69994mnxcWFtbk\n9sjISJYsWcKxY8cIDw9v9rwZGRkEBQWZlNlzdHSkf//+/PTTTwwfPhwpJYcOHWLPnj1UV1dz+vRp\nnnzySbOynqmpqfj4+LR6Vc6JEyfy2WefsXfv3mZf57WsW7eObt268fjjj7f4OTU1NezZswcnJyeG\nDBnSphKlWq0WCwsLevXqBRjGNQcHB5Oenm5WTlWn0xETE0O/fv1afCeksxUVFeHh4WGyzdvbG51O\nR2FhIZ6eni0+VkFBgcnr1mg0+Pn5kZOTw5gxY1oVV25uLt7e3lhaWtKjRw/69OnD4cOHGTx4cKuO\nc6N27txJXV0dEydOvH7jdpCTk4MQAj8/vw4/17lz54y/18OGDaOwsJDNmzdjY2PDgAEDmnyOo6Mj\nPXr0IDc3l/79+xu3Hzp0iG3btpl1QNjZ2fHHP/6x2RKfSUlJuLm5Nfn/KyAggO7du3P06FHjxQYY\nfjc2bdqETqdDq9WadNg01jAX6lq97BcuXMDT0xNXV1cGDhxIQkICQ4YMMd75SklJIScnh0cffZTS\n0lK+++47Ll++fM3e7szMTNatW4e9vT1PPfUULi4ubN26le+++45z585x//33d1jJ0/ZWXFzM+vXr\nCQkJafXfcHu5FddGUZRrac3vfNf4T3KTaeo2dmBgIKmpqUgpEUKgAYYDezQasgYN4r077yQmJoYl\nS5YwZcqU6yZ56ZfSSS1I5e273zbbl5WVhRCiyTG01+Lt7U1oaCh79+5lwIABxlvjjVVUVJCbm8sD\nDzxgtm/48OEcP36cXbt2kZaWxqVLl4iIiCAgIIC1a9eSmppq8sZeU1NDZmZmm9YOcHJyYsyYMezZ\ns4fw8HCTHuHrKSkpobCwkMLCQsrLy5vsgbzamTNniI2NpaysDJ1OR05ODg8++CA2Njatilur1eLr\n62tSLzwkJITjx49TWlpqcvGza9cuUlJS0Gq1BAYG3vS15aWUXLp0yeyuTUMFn4aEqCVqamooKSkx\n+7n27t2bPXv2oNPpsLCwaHFsubm5xuFoAIMGDWLt2rXk5+ebXaS0hZSSDRs2EBoa2uxdq9OnTxMf\nH4+FhQWRkZGt/t1prYsXL7JixQrq6uqIiIjg3nvv7bBzNsyZaPx/a9KkSRQXF5OZmXnN/0WNF+mS\nUhIXF0d8fDxDhgyhb9++ODg44ODgwJUrV1i0aBFpaWnGzpPGqqqqSEtLIzIysskLco1Gw4ABA0hM\nTGTixIlYWlpy+fJl1qxZg7e3NxUVFaSnpzeZ9Espyc7OxtbWlgsXLjS7tkBeXp7x7umYMWM4evQo\niYmJjBw5kpqaGnbs2EFYWBhBQUFUVVWxefNmjh8/bpx7cPU54+PjiYuLIzg4mBkzZhj/BzzwwAP4\n+Pjw/fffc/HiRebMmXPTD5Opra3lm2++wc7OjunTp9/Qui5tVKjRaKoeffTRm/sfqaJ0AI1GU6XX\n6687vKFVSb8w/BX3AvKllK0b3H0LaeqfWVBQEAcOHDAZsjC6spK9NjYcHzOGXo6OPPPMM2zcuJG1\na9cydOhQJk6c2GxisyFtA3aWdkwImmC2Lysri169erXpDT4yMpLPP/+co0ePMmjQoCaPLaU0SaAa\n+Pj44OvrS3x8PH5+fjz00EPGhC84OJi4uDjCwsKMrykjI4O6urpWDe1pbOTIkRw9epRvvvmGuXPn\ntvgOSWZmpvFndOrUqWsujlVXV8fu3btJSEjAx8eHX/3qV1y8eJENGzbwxRdf8PDDD7c4adTr9Zw+\nfZoRI0aYbO/Tpw8ajYb09HSGDh0KGC4O9u3bx/Dhw0lOTmbv3r1MmGD+s76ZVFRUUF1dbfZzsLGx\nwdnZmby8PAYOHNiiYzUMvbo66ff396e2tpa8vDyT3tpruXLlCsXFxSbtQ0NDsbe3Jzk5mUmTJrXo\nONdSUFDA0aNHSU1Nxc3NzSzu2tpaNm3ahKenJxcvXiQtLa3F34u2qKmp4dtvv8XFxYXBgwezc+dO\nMjIymDJlSocMqbhw4QI6nc7ke6zRaJg5cybHjh1r8v9FA19fX9LS0qipqWHz5s0cPXqUe++91ywR\ntre3x8/Pj+Tk5CaT/pSUFHQ6ncldhbLqMvad2UdeeR4O1g7oeuhIq0pj3f51uHq78u2Wb8mvzSes\nVxjaM1qOph4lckKk2d3TwsJCysrKiIyMZPfu3Vy4cMHs96+uro6CggKGDBkCgLOzs0lv/48//khF\nRYXx79jW1pawsDCOHj3aZNKfmppKXFwcY8aMISoqyvg/S0pJnb6O4P7BTOsxjTXfruGHuB+YPnV6\ns9/jlrh8+TJxcXFMmjSpVe8dtbW1HD58mKqqKmpqaqitraW2thYpJZaWllhaWmJlZUVeXh6FhYU8\n+eSTndKBIaU8I4QIBdx+8ZMrSifT6/WFUsoz12vX2p5+AWQC/YGMtgR2q/L398fCwoLs7GxjQmCb\nnIwcNYoTjo4cAwbY2DBz5kwSExPZunUrtbW1TJkypcmLiNhTsUwImoC9lb3Jdr1ej1arNUssW8rL\ny4u+ffsae/uvvujIyMjAy8ur2V6lqVOncunSJWPlogb33HMPixcvJikpybgqZ2pqKt7e3mZjb1vK\n0tKSOXPmsHr1ar744gtmzJhxzeSiQcNFkYWFBSdPnmw26S8uLmb16tUUFhZy9913M3LkSDQaDa6u\nrnh6evLNN9/w5Zdf8sADDzQ7fKGxCxcuUF1dbdbraWtri5+fnzHpr6ysJCYmht69ezNhwgTs7e3Z\ns2cPERERN/WKxFeX62zM29u72XkdTbm6ck/j41hZWXH69OkWJ/0NwzEahp6AYVjVwIEDOXLkCOPH\njzfptdXr9U3e5bqWU6dOYWVlhZOTE2vXruWpp54ymcy8Z88eSktLeeaZZ9i0aRMpKSkdlvRLKfn+\n++8pLS1l/vz5uLm5ERoayqZNm1ixYgXh4eFMnjy5XYeE5ObmYmFhYbzIb2BjY2O8kG1Or1690Ol0\nLF26lMLCQmbMmEG//v24WH6RC+UXuFB+gbzyPMPnjhcoSClgwOkBDPAfgEb8/HM6kHwA2162xJ2L\nY2/OXvbk7OHwhcNNljVeFrfM+LmVxoqDJw5SW1dLQVUBX7//NXf53sU9Affg6eDJ6ZLTJGUlkUYa\nXyZ9iZNwwi7Zjv/1+l9sLH9OjvPz86nT11FpX8nB3INYaixx6evCmSNn+GrjVyScTMCxtyOv7HuF\nU5dOUVxVjLulO1fyr1AWV8Zg/8HYWdlRXlNOSUUJG7dsxNrDmiu6K3y+7nNySnLIKc0h/0q+2Wvq\ndrQbv7L4FXP6z2Gs/1gsNKb/t/ft20daWhpPPPFEsz3s+/bt48iRI/j4+BgvXFri4MGD7Ny5k27d\numFlZYWVlRXW1tYIIairq6Ours54ETB16lSz35FfUn3Sc93ER1FuV616V5BS6oUQGYArKuk3YWVl\nhZ+fH1lZWQwfPpySkhKqfvwRzciROAjBF8AnGO4SDB06FBsbG2JiYnBzc2PUqFEmxyquLOZg7kG+\neNB8Xd9z585RXV19Q71548aNY/HixRw9etRkzLNeryczM/Oabwhubm5miRqAp6cn4eHh7Nmzh4ED\nB6LRaMjIyGDs2LFtjhMMPcFPP/00MTExrFy5kqioKMaMGdPsG5tOpyM7O5tRo0ZhZ2fH1q1bqays\nxM7Ozqztzp07qaqq4umnnzZ7o3J1deXJJ5/k+++/JyYmBgcHhyYnTjem1WqxsrIy3v5vLCQkhJ07\nd1JTU8N3331HbW0t06dPR6PRMGLECJKTk9mxYwdz5sy57vfk/PnzrFu3jrvvvttkOFV7SUxMREpp\nlsxdXa6zMS8vLxISEozD266noKCAHj16mPU4WlhYGMf1jx49ukXxnj17lm7dupnNGxk8eDD79+8n\nLS0Nd3d3MjMzycrK4syZM/j5+fHAAw+0+O5Reno6QUFB3H333XzxxRds3ryZadOmAYYhHwkJCYwb\nNw53d3f69+/P9u3bm/29u1FHjhzh2LFjTJ8+3fi36OTkxKOPPkpycjKbN2/Gy8uL4cOHt9s5G8+Z\nuJY6fR3Rx6LZnbMbvdQjpUSv13NcHKeqoApLJ0sWbV9Efox5Yuti50KtrpbLXGbl8pV0s+pGX/e+\nVNVVcabkDGU19RWAzkCv7r0Y13sczw55lnH+4whwDqCitoLymnL2J+1nx54dWGPNrPtnMXrIaGOC\n+uf3/4y+t54cixw+PPAh5TXl+PXww7balgCHAIbfMZw1iWv48+E/84/Uf/BQ34cY7TealIIUdp3a\nRQopvLH2DfMXXj9n3PaMLcHlwYS6hRLsEkx2cTanxCle+fEV9D+aX5zY1NrgW+uLXw8/+rr3ZVKf\nSXg5eGFnaYeNpQ22lrbkX8jn6z1fsyV9C0uSluDl4MWUkCnYWdlRVVdFVV0VJ9JOUFddx8nYk4y/\nczx3eNyBj6MPQgiklBRdLmJ30m5qNbUkJiW2OOnX6/X89NNPhIeHM3Xq1BY9R0rJmdIzHL5wmNSC\nVP7f6P/XGUN9FEVpQlu6gv4C/J8Q4jkp5Yn2DqgrCwwMZO/eveh0Ovbt20cPCwsGSEmVEGzGkPQ3\nGDBgAIWFhfzwww+4urqaTL51tnPmyGNH2Ld7H9Gp0YwaNQp/f3+EEGRlZWFra0vPnj3bHKenpyf9\n+vVj69atFBUVMXLkSOzt7Tl37hyVlZUt6k1vSlRUFCdOnGDfvn14e3tTW1vb5qE9jdna2jJnzhz2\n7NnDrl27yMvLY/r06SY9rQ3Onj1LTU0Nffr0wdHRkc2bN5Oenm7W61paWkpqaiqTJk1qtmfK2tqa\nadOmkZ+fz4EDB66b9J8+fRo/P78mh2yFhoayfft2YmNjOXnyJLNmzaJ79+6A4YJx/PjxrFu3rtmq\nTA0yMjJYu3YttbW1ZnMorqempoaYmBhGjhxp0ivemE6nIy4uDr1ez8CBA02+x0VFRTg6OprMV2jg\n5eVFVVUVJSUlLbqzU1BQ0Ow8DX9/f+Lj41vcI3/u3Dl8fX0prChk39l9VNVVodPr0EkdZ1zO8Mq6\nV6ilFp1Gh0MPB2x62rD7/G6Wf7acsKAwQgJD6GHbg6E9h9LXva9J7zIYhg/l5uYyZcoU3N3dmTx5\nMrGxsfj7+zNw4EA2bdqEk5sTHn092Jq5lUr7Skr0JZw8ebLdJxLn5+ezefNmBg0aZHb3SQhBREQE\nmZmZHD58mGHDhrVbspWbm9tsgQAAnV7HqhOreH3P62QWZTKk5xBsLW0RCIQQ2Lrb4tvNF39Xf7wc\nvPBy8MKzmyfejt7Gz20sbZBSsjx2OfHp8YSMCiHtUhr2VvZU2VVx5fwVnpnzDEGuQfh29zV7bd1t\nutPdpjuT75pM5sFMwsPDGTP058mklpaWjAgZQXFxMR8+/SE6vQ6JBD289957RI2OYuTIkdyjv4e9\nJ/diMdCClSdW8tWRr+jt1Jue9GRSt0n8dvpv8XLwolZfS62ulqLSIr77/jtm3DODqMFRZr8/W7Zs\n4diJYzz0xEPUyTpqr9Sy+uvVRI2KYvzd46/7va8JrOHijxe5d+S94AtrTqxhR7ahXKqtpS3Wwpri\n6mJqRS2fHv+UhccWAuBk64SVxoqSqhJq9T+vD291wYqvFn/FCP8RRPSMINwrnBDXEGwtzYfkpKWl\nUVZWZizeUF5TTkFFAQVXCrhUeYniymKKKosoriqmsKKQE/knOHLhCMVVhgre7vbuPBPxDK72N+8d\nTEW5nbQl6f8asAeOCiFqgMrGO6WULes6uwUFBQWxc+dOUlNTOXz4MJGRkfTQaDgGfAZkA43Tuaio\nKC5dusT69euZN28e3t7e6PV6EhIS2L17N87Ozly2uMzy5cvx9fVl9OjRZGVlERgY2OrhCVd78MEH\niY+P59ChQxw6dIhhw4ZRXV2Nvb19kz3VLdG9e3eGDx/O/v376dWrl7HKRXsQQhAZGYm3tzfffvst\n+/fvZ9y4cWbtMjMzsbe3x9vbGyEEvr6+nDx50izpP3jwIDY2NtesYtRw3qFDh7Jp0yaKioqa7Rlu\nmPzbVExg6B13c3Pj5MmThIeHm03k7t+/v7GiyTPPPNPkzzcpKYnvv/+ekJAQnJycOHHiRIt71gF+\n/PFH0tLS0Ov1zJ07t8k2mZmZVFYa/qSPHz9uMjSqqXKdDRpP5m1p0h8SEsLWzK386+CeBpu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55maI+hdGxStVHAyggODqZr164sXrwYY0yFUuZWVMeOHZk7dy47d+7k6FEZASmaDa1Vq1aFslHt\n27ePxo0be735WUREBL179y5Y21NZzijytm3bGDZsWMHtmzdvplGjRgW9+MYYhgwZwnvvvcfWrVtZ\nuHAhbdq0KbYeIz4+vszN61asWIGfn1+lplQppeo+b3r6nwAetNY+Z4zxHDOeC9zum2qd2Er6Jz0A\nqI/M6y87q7WqiLZt2xIVFcWiRYto27Yt+fn5JCQklJiKzpnXn5CQwOLFiznttNMKFitba9mWuo25\n2+cyb8c85u2YR9KxJEACsrYN29K2UVt2p+1mV+YuDqQf4KNPPiqxTv39+/POhe9wSddLSsyE4WvR\n0dEsWrSIw4cP06RRE8bHFQ/Gv//+e1aykluvvLVgZGN83Hiabm1KzGkxjLllDCnpKQTnBTP1xamc\nP/r8gowz6enpPPfcc/Q7sx/H/Y6zZu4axnYbW6G6tW7dmksvvZTFixcze/ZsWrRoQffu3YGyM/eU\nxc/PjzFjxvCf//yHpUuX0rNnT5KTkyuc2rMsQUFBDBgwgF9//ZUhQ4ZQv359rLVs3ry52J4UFRUX\nF8esWbPYsGFDhdNnHj9+nOnTp9OkSRMuvPDCKvVu9+7dmy+++IKUlBSaNGlCVlZWQUrdooFeQEAA\no0eP5rXXXmPx4sUMHjwYYwwpySnk5ORUeM8EX+rTpw+rV6+mQ4cOFdpVu6KaNWtGeHg4mzdvJiMj\ngxYtWlCvXuH9UFq3bk1WVlbBZotJSUlVzj9/wQUXVOn62NhYZsyYUZAK1lrLli1b6Ny5c6HPSdu2\nbWndujXffPMNaWlpJaYBdjavW7FiRbFF4Xl5eSxfvpwePXpUS8pZpVTt8WbcrjvwZQm3H0Dy96sS\nBAJDkXn9pTmSeaRmKnMSMMYwYMAAtmzZQnJyMvv27SMjI6NgoZ6npk2bEhkZya+//sqWnVsIbB/I\n84ueZ+LnE4l5MYb2L7Vn0qxJbD20lat7Xs1nEz5j3c3rSH8gna13bOWHP//Akr8sYe/de3m+8fP8\nt9N/2Xr7VpZfvpwH/B/g/S7vk/1gNkv+soSrel5VIwE/UDDVa+fOnSXen5SUxNKlSxkyZEihqUzG\nGHr16iU7nObkEVU/io0bNuLn51doHUa9evXo2rUrm9ZsIjwrnIbhDSu1+BBkqlfPnj2ZMWNGwRQJ\nb4N+gJYtW9K3b1/mzZvHpk2bAHwWkPbv3x9/f38WLVpUUM/Dhw97vc4lNDSU2NhY1q+v2IzHvLw8\nPvnkE3Jzc7nsssuqNGUJoHPnzoSEhLBq1SoAFi5cSHZ2NkOHDi3x/GbNmtGvXz9+/fXXgh7wxMRE\n/Pz8fDKfvrJatWolyRB80KjzZIyhY8eObN68mYSEhBL3PHGyHu3ZswdrLUlJSbXyGnhyUvlu27YN\nkPStaWlpxT6fTm9/WloakZGRJX5+/f396dWrF2vXriU3N7fQfevXr+fYsWM+3edBKVU3eBP0HwZK\n+uvXG9hTwu3KZSQyJ6qk5ZvWWrpP687jvz5ew7U6cXXr1o2wsDAWL17M1q1bCQ4O5ljIMf7127/o\n959+tHi2BW2eb0Ps1FiePP4k9++9nyd4gqvmXcUDcx9g15FdXBx3MTMum8Ghew+x9IalPDHiCS7u\ncjFdm3UttBsnyD/T0/ufzp7NewjJCOGXmb/QtnlbLrnwkkpN4fGV0NBQoqKiSg36nT0gBgwYUOy+\nXr16kZOTUxCQ/v7773Ts2LHYlJu+ffuSmprKmjVrKryRlSdjDGPGjKFp06Z8/PHHpKWlcejQoSpN\n/xo2bBgBAQF8++23hIaGelWvkoSEhNCvXz+WL19ORkYGmzdvJjAwsNgOy5XRtWtXdu/eTWJiItnZ\n2aWe5yy2TkxM5JJLLqnUepPSBAYG0r17d9asWUNaWhqLFi2if//+ZZZ99tlnExAQwI8//ghI0B8V\nFVXpxp4vGGM477zzSt1Toio6duzI4cOHSU9PLzHoDwkJoWnTpiQmJpKamkpWVlat7jQLMkUoMjKy\nIOh3Pp+ec/wdsbGxxMfHM3LkyFJHi+Lj48nMzGTt2rUkJSWxbt065s2bx7x584iNjT1pppsqpdy8\nmd7zEfCkMWYCYAE/Y8xg4Bkkh78qwVbgKJAN/AoUXf63KmkVu9N2F8vBrIS1lq2HtrJ0z1JWJ60m\n3+ZTL7AeSc2SmLdqHvkh+ayz67h/2v2EBYYxpuMYLuh4QcEGOqlHU1mzdg1DugzhsjMvo2vTrl4F\n6r169WLu3Lm89dZbhIWFVTr1nq9FR0ezZUvxzbGTkpJISEhg/PjxJW4WFhERQWxsLKtWreK0005j\n3759nHnmmcXOa926NVFRUezfv9/rHu/AwEAuvfRS3njjDd59912stVUKKEJDQxkxYgQzZswgJibG\npwtLBw4cyJIlS1i6dGnBnhjl7UJblk6dOhEYGMibb74JyDSiBg0aUL9+fQICAgqOnJwcNm/ezAUX\nXODTxfrx8fEsW7aMDz74AH9//3J7zUNCQhg+fDgzZ86kT58+JCYmlrsp3YkoJiaGgIAA/Pz8Sm1U\ntGrVij179hSMUNV2Tz9Ib/+mTZsKpvbExsaW+Pk0xjB2bNlT8Zo0aUJMTAwzZ84suC0sLIymTZsy\nYkT5m4YppU483vw3ewDZa2o3kohmg+vrh8BjvqvayWU+8BDQHJniUzTon7lpJhHBEZwVfVaxa09V\nfyT/wRcbv+CXnb+wbM+ygl0e2zZsS3BAMOk56aRnp5OWn4Z/uj/DWg/jlTNeYWS7kYQGFp+LmtAj\ngZiYmBKD4IoKDg4uWFB62WWXlbpAs6ZER0ezdOlS0tLSCnb4BVi0aBERERFlpk3t3bs3n332GfPm\nzSMkJKTEnZidzcm++eabKm20FhERwSWXXMK770q/QFUzO/Xq1Ytt27Z5vXt0acLCwoiPj2fx4sVk\nZmaWGziVJyQkhNtvv52UlBSOHj1acBw/fpzc3NyCDDI5OTmMGDHC5wsnmzdvTosWLdi3bx8jRoyo\n0Bzt3r17s2LFCmbOnElKSkqxVKUng8DAwIIdhkv7e9C6dWvWrFnDrl27CA8PL5YgoDbExsaydOlS\nEhMT2b17d5U/n+effz67du0iMjKSyMhIncOv1EnOmzz92cANxphHkPn99YFV1tri3Y2qwNnIsEgc\nspi3qDnb5jCi3YhamSZSV1hrWZ20mi82fsEXf3zBhoMbCAsM4+y2Z3PXwLskP3irfgWZSBwzZsxg\n1apV3PmnO8uculDSML43Ro4cyRlnnOHTxYXecob2d+7cWbBQNi0tjXXr1jFy5MgyGzidOnUiNDSU\njRs3Eh8fX2qPtjNFpKpZcqKjoxkzZgzr168vtnCysowxpWZgqqpBgwaxfPlygCrvWwGSkrc2G4cD\nBw5k4cKFFd6XwhjD6NGjC0YnamMRb0246KKLyry/VatWWGtZu3ZttaVKrqyYmBj8/PyYM2cOQJUb\nvU2aNPHZrulKqbrPm5Sd/wc8Y63djfT2O7eHAvdYax/xYf1OGtHIpgaBwFpgP+AkATyceZgliUt4\ndcyrtVW9Wrd873Lu/eFe5u2YR6OQRlzQ6QL+Pfzfpfbaexo2bBgxMTE+mQddEf7+/nUi4AfpmY6M\njCwU9C9evJjAwMBye40DAgLo3r07S5cuLbi2JEFBQVx33XU+qW98fHxBdqC6KiIigj59+nDw4ME6\n8z5XRffu3ct8f0vSunVrevXqRUJCAo0aNaqmmtWu8vLPN2vWjMDAQDIzM+vE1B6Q38XTTjuNnTt3\n0qJFi1ofaVRKnVi8md7zMPAaxdej1nPdp0F/KYYh8/lBevuvcH0/b/s88mweI9uNrJ2K1aKEQwn8\nfe7f+Xj9x3Rt2pUvLvmC8zueX6kRj/r16/s0j/eJJjo6umAxb2ZmJitWrKBfv34Vyik+aNAgQkJC\nSlwMeCormsbwVHT++eeTnp5eI5tx1UV+fn60bNmSnTt31voiXk+xsbHs3LnTJ6NQSqlTizfZewwU\n3RcekM25DlWtOie3s4FNQGcKp+6cnTCbDo070LaR91lCTjRpWWnc+f2dxL0Sx/xd83nzgjdZM2kN\nF8VddEpPcfJGdHQ0ycnJHD9+nJUrV5Kbm1vhdHsRERGcffbZp2xgVxpjzCn/mvj7+5/yPcnOfh51\npacfZMqZv79/wZoEpZSqqAr39BtjUpFg3wKbjTGegb8/Mrf/Nd9W7+RytutrOyTot0gLav6u+ZwT\ne06t1aumzdg0g1tm3cLhzMP8c+g/mTxgMvUCqzbH+1Tm9NJv27aNJUuW0KNHj1M+WFPKF3r06EF2\ndnahRfK1LSoqinvvvbfK+zgopU49lZnecycSo/4PmcbjuZNUNrDDWrvIh3U76TQHugD5wF5go+vn\nFTeu4Fj2sdqsWo1IOpbE7d/dzmcbPuO8Ducxbcw02kTUjQVyJ7Lw8HAaNWrETz/9RFpaGgMHDqzt\nKil1UoiKimLMmDG1XY1iNOBXSnmjwkG/tfYdAGPMdmCBtTa3nEtUCS4F0pC5/TOQoD84ILjYRlAn\nE2stb69+m7vm3EWgXyAfjv+Qy7pddspPn/Cl6OhoVq9eTfv27WnWrFltV0cppZRSdUyl5/Rba38B\noo0xjxljphtjmgEYY0YbY7r6vIYnmf9DdjE7D/i0lutSE5KOJTHuo3FcN+M6Luh0ARtv3cjE7hM1\n4PcxJ53moEGDarciSimllKqTvEnZOQT4DlgAnAX8HTiALOS9HviTLyt4spqA9PpvQ+b4n4w+2/AZ\nk76ZhL+fP19d+hXjOo+r7SqdtLp160ZoaGiVc+krpZRS6uTkTfaeJ4AHrbUjkbn8jrmATiauoPOA\nEOCz2q5INdh1ZBdXfnElEz6dwJCYIay7eZ0G/NXM39+fjh076giKUkoppUrkTZ7+7sDlJdx+ANCt\n/SqoPu4pPvfWcl18wVrLvB3zeHnpy3y96WvCg8N576L3uKL7FRqIKqWUUkrVMm+C/sNAC2B7kdt7\nA3uqXKNTyARgIrADiKnVmngv3+bz1qq3eG7xc2w4uIGuTbvyynmvcGWPK6kfdOLvZqqUUkopdTLw\nJuj/CHjSGDMBSTXvZ4wZjKxPfdeXlTuZ5ebnMtr4EWz8eAl4Gu/mWtWmbanbuPbra/l156+MjxvP\nK+e9wpDoIdqzr5RSSilVx3gTZz4A/AHsRmapbEAyUC4EHvO2IsaYW40x240xGcaYxcaYfuWcP8EY\ns9F1/hpjzOgSznnEGLPXGJNujPnBGNO+lLKCjDGrjTH5xpge3j6Hyvjqj69o/0wUZ2Wk8gIQB0yv\niQf2gXybz7Rl0+gxrQe7juxi3tXz+PySzxkaM1QDfqWUUkqpOsiblJ3Z1tobgFjgfOBKoLO19s/W\n2jxvKmGMuRR4Ftn0qzewBphtjIks5fyBwIfAf4BewFfAV8aYLh7n3AfcBtwE9AeOu8osaVeTp4BE\nZOSiRsxJmENkvUiuCW1EPtAauALYXFMV8NLOwzsZ9d4obvn2Fv7c48/8fvPvDI0ZWtvVUkoppZRS\nZfB6Rom1dpe19ltr7SfW2i1VrMcU4HVr7bvW2j+ASUA6cF0p508GvrPWPmet3WStfRhYiQT5nuc8\naq2daa1dB1wFtAQu9CzINUIwErgb2XG42llrmZ0wm1HtRnE+EAycg+zY+0RNVMAL1lreWvUW3ad1\nZ3PKZuZcOYdp50/TeftKKaWUUicAb/L0GyQX/9lAM4o0HKy14ytZXiDQB/iXRxnWGPMjpacAHYiM\nDHiaDYxzldkOiaF/8igzzRizxHXtJ67zooA3gAuAjMrUuyo2pWxi15FdjIodRTgS8H+JtDruQ4Y7\nomuqMhWQdCyJG2feyMzNM7mm1zW8cM4LRIRE1Ha1lFJKKaVUBXnT0/8C8B7QFjgGHClyVFYk4A/s\nL3L7fiRwL0nzcs6PQqbqlFfmW8Cr1tpVlaxzlczeOpsg/6CCaTETgMVICs8IZEV0XfHZhs/o9mo3\nluxZwteXfc1b497SgF8ppZRS6gTjTfaePwPjrbXf+royRRgqN8e+IucXnGOMuchsMXMAACAASURB\nVANoADzpcV+NmJ0wmzPbnElYUBgAY4Eg4HtkTtK/gAeRlkttevzXx3lw3oOMjxvPa2Neo2lY01qu\nkVJKKaWU8oY3Qf8RYJsP65AM5FE8xm1G8Z56R1I55ychQXxUkTKaAU6v/tnAACCrSMaZ5caYD6y1\n15ZW4SlTphARUbi3e+LEiUycOLG0Swpk5mby846feeTsRwpuiwBGIblQvwXmAyklPMGa9OT8J3lw\n3oP8c+g/eeishzQrj1JKqQqbPn0606cXzkl35Ig3kwGUUr5irK1cwhpjzNXAucB11lqfzIM3xiwG\nllhrJ7t+NsAuYKq19ukSzv8ICLXWjvO4bQGwxlp7i+vnvcDT1trnXT+HIw2Aq6y1nxpjWgPhHsW2\nRNYFXAwstdbuLeFx44EVK1asID4+3qvnOnf7XIa/O5y1k9bSPap7we3fID3+jyK9/LXp2YXPcvcP\nd/PQWQ8VapwopZRS3lq5ciV9+vQB6GOtXVnb9VHqVONNT/8nyEayB4wxO4Aczzuttd5Ew88B7xhj\nVgBLkWw+9YC3AYwx7wKJ1toHXOe/CPxijLkLmOWqTx/gBo8yXwAeNMZsRTa9fRRJy/m1q56JnhUw\nxhxHRge2lRTw+8rZMWez7uZ1dGnapdDt5wP/BB5Cdue9sroqUI4XF7/I3T/czf1n3M8/h/6zlmqh\nlFJKKaV8yZug/x0kwH4f6Tmvcm57a+0nrpz8jyCzWlYD51hrD7pOaQ3kepy/yBgzEXjcdWwBxllr\nN3ic85Qxph7wOtAQ+A0Yba3NLqsqVX0u5THG0LVZ1xLvewjYjuQpbYXMP6pJU5dM5c7Zd3LPoHt4\nfNjjOqVHKaWUUuok4c30nuNIQD6/eqpUd/liek95coAxyHDHAqDk5oFvHc8+zm3f3cbbq9/mrgF3\n8cyoZzTgV0op5VM6vUep2uVNT/9uIM3XFVEiEPgMOANJ4bkYaFGNj7fh4AYmfDqBHYd38Pa4t7m6\n19XV+GhKKaWUUqo2eJOn/6/AU8aYGN9WRTnCkSw+ucDVVN+co3fXvEu///QDYNkNyzTgV0oppZQ6\nSXnT0/8+ssg2wRiTTvGFvI19UbFTXWtkq+DzgQ+RrYbr+6jsvPw87vjuDl5d/irX9LqGl0e/XLBn\ngFJKKaWUOvl4E/Tf6fNaqBKNQdJ4XgPcBjxfwjmHgL1AtwqWmZ6TzuWfX843m7/h9fNf58Y+N/qk\nrkoppZRSqu6qdNBvrX2nOipyssu3+fiZys+mmgq0B14G7kE2E3AcAIYAO5FNDSLLKSs5PZmx08ey\ndv9aZkycwXkdzqt0fZRSSiml1InHmzn9BYwxocaYcM/DVxU72Zz9ztk88kvlN7qKAf6GzO//q8ft\nh5BdfFNdP08rp5ztqdsZ/L/BJBxK4Oerf9aAXymllFLqFFLpoN8YE2aMedkYcwA4hsSdnocqIiU9\nhfm75tM6vLVX1z8ENAE+BhKQ1EnnIjuN/QRcC7wElLY98paULQx8cyD5Np9F1y+iX6t+XtVDKaWU\nUkqdmLzp6X8KGAbcDGQBfwEeRqaWX+W7qp08ftz2I/k2n1Gxo7y6Phh4E8ni82dkrv9m4Ackj/9d\nQDLwbgnXHs48zNjpY2kY0pAF1y0gtnGsV3VQSimllFInLm8W8o4FrrLW/myMeQv4zVq71RizE7gC\n+MCnNTwJzE6YTbdm3bzu6QfJ3tMLWASEAPOA3q77YoHxwLPADbhbcrn5uVz22WUcOH6AJX9ZQrOw\nZl4/vlJKKaWUOnF509PfGNju+j7N9TPAfOAsX1TqZPPzjp8Z3nZ4lcv5DGgI5APNi9x3D7AFmOF5\n25x7+HHbj3wy4RM6NOlQ5cdXSimllFInJm+C/m3I+lKAP4BLXN+PBQ77oE4nlT1pe9h+eDtntjmz\nymXFAvuQaTwxRe47HTgTeNr1839X/pcXlrzAi+e+yIh2I6r82EoppZRS6sTlTdD/FtDT9f0TwK3G\nmCwkjfzTpV51ilqwewEAg9sM9kl5IcClpdx3N7AQeDVpNbfMuoVJfSZxS79bfPK4SimllFLqxOVN\nnv7nPb7/0RjTGegDbLXWrvVl5U4G83fNJ7ZRLM3rF52Q43vnA7F5OUzOy2FgzFCmjp6KMabaH1cp\npZRSStVtlerpN8YEGmN+MsYUTBC31u601n6hAX/JHjjzAaZfPL1GHisnN4ucJVPJbdWP0IkzCfQP\nrJHHVUoppZRSdVulgn5rbQ7Qo5rqclJqXr95jeXFv2v2Xez95RHq5ecyJyCYT2rkUZVSSimlVF3n\nzZz+94HrfV0RVTXvrXmPV5e/yssjn+IXvwD8kbn/N6I7pimllFJKneq8ydMfAFxnjBkJLAeOe95p\nrb3LFxVTFbcmaQ03fXMT1/S6hhv73IhBUni+AExH0ni+BEyozUoqpZRSSqla403Q3w1Y6fq+Y5H7\nbNWqoyrrcOZhLv7kYjpFduLV814tWLh7O7JZ193AOiSv6izgvFqrqVJKKaWUqi3eZO85uzoqorxz\nx3d3kJKRwpw/zyE0MLTg9pbA5cDbQAIwEvgbcA7gXwv1VEoppZRStcebOf2qjpi7fS7vrX2PZ0c9\nS7tG7YrdfxeQCHwJPAn8DnxYs1VUSimllFJ1gDfTezDG9EOmiLcBgjzvs9aO90G9VDmycrO4edbN\nnNHmDK7pdU2J5/QA5gBDgUDgIuAhZKpPcM1UUymllFJK1QGV7uk3xlwGLADikDgyEOgCDAOO+LR2\nJ7D7friPFxa/UG3lP7ngSbalbuO1Ma/hZ0p/G0cibxDA48BuYBqwB9hcbbVTSimllFJ1iTfTex4A\nplhrxwLZwGSkAfAJsMuHdTthWWt5b+177D+2v1rK35KyhX/99i/uGXQPXZt1rfB1ccC1SPC/1PXz\nS+jqa6WUUkqpk503QX8skggGJOgPs9Za4HkkLfwpb/vh7ew7to8z2pzh87Kttdw862ZaNmjJg2c9\nWOnr/wEcA5YBNwN3IJsuZPqykkoppZRSqk7xJug/BDRwfb8HSeEJ0BCo54tKnejm75oPwKDTBvm8\n7OnrpvPT9p945bxXqBdY+Ze7NRLoT0Xm97+LLO4dCuwtcu4PQC9gW1UqrJRSSimlap03Qf9vyFRx\ngE+BF40x/0H2gfrJVxU7kc3fNZ9uzbrRKLSRT8tNSU9hyuwpTOgygdEdRntdzt+Qef4PAVcC85HW\nWx/ga2S6zzrgT8AaZKMvpZRSSil14vIme89tQIjr+8eBHGAQ8DnwmI/qdUKbv2s+Q6KH+LRMay1/\nmfkXcvNzeeHcqi0QboS8cbciwf+LyNbKVwAXAhOBhUAMMgXoZuBnZDRAKaWUUkqdeLzZnOuQx/f5\nwBM+rdEJLiU9hY3JG/n7mX/3abmvr3idr/74ii8v/ZKWDVpWubxbkID/ZmAH8BHwI5LicwqyWOMb\nZDrQO8CdwAp0Yy+llFJKqRNRhaf3GGP8jDH3GWMWGGOWGWOeMMaEln/lqWXh7oUADG4z2Gdlbji4\ngSmzpzCpzyQu7Hyhz8q9AfgWma91FpLO8w2kETATOA0wwAvINJ//+eyRlVJKKaVUTarMnP4HkFkh\nx5Ap4JOBV6ujUiey9o3b869h/yI6Iton5WXmZnLZZ5fRrlE7nj3nWZ+U6WkUsulCCtAJ+AJZ2NvH\n45zTkbn/f0c3YlBKKaWUOhFVZnrP1cAt1to3AIwxI4BZxpjrXdN8FBDXNI64pnE+K+/eH+5lc8pm\nlt6w1KtsPRXRHViM5PC/EBhXwjlPIA2Cx4Cnq6UWSimllFKqulQm6G8DfOf8YK390RhjgZZAoq8r\npmDW5lm8tPQlpp47lR5RPar1sVoCs8u4vxWS9ecfSHafp5GpP0oppZRSqu6rzPSeAIrv4ZSDrAdV\nPpaakcr1M65nTIcx3Nb/ttquDgB/BeoDzwLtgVeQxb26sZdSSimlVN1WmZ5+A7xtjMnyuC0EeM0Y\nc9y5wVo73leVO5X97ce/kZ6Tzuvnv44xdaNPvR6S3eduJKWn0xQJQNJ+3lJL9VJKKaWUUmWrTND/\nTgm3ve+riii3BbsW8MbKN3h59Mu0Cm9V29Up5HQk288fyNz/PcBAZJff7sCZpVz3GrAMuABZPKxp\nn5RSSimlak6Fg35r7bXVWRElsvOyufGbGzm91elM6juptqtTqs5IEH818BUQCYwH1gItipz7FHAf\nstnX/5ApQmOQHX8vAIJqpMZKKaWUUqeuyszpVzXg6QVPsyl5E2+MfQN/v7q9FVY4sg3zNCToN8Cl\nyEIPxwtIwP8QsB3YiCwI3gRMQNKEvgPk1VitlVJKKaVOPRr0+8iuI7t4bflrHM066nUZW1K28Oiv\nj/LXgX+t9mw9vuIHTEKC+S+BRUiQD7LQd4rr53+6buuM5PtfBfwOxAPXAD1c19saqrdSSiml1KlE\ng34f+XHbj9wyy/ulrNZaJs2aRIsGLXh46MM+rFnNGYxk9nkemfZzGxL0/5vi6T0zgSjgM2ApkhJ0\nvKuMgzVUX6WUUkqpU4UG/T6ybM8y4prG0SC4gVfXf/D7B8zdPpdpY6ZV2yZcNeF2YCLwLnAr0ggw\nwC6gN9AWaIAs5G0GXI4sAJ4D/ARsQxb6ptZ0xZVSSimlTmKVyd6jyrB071L6tezn1bVpWWnc88M9\nTOgygXPbn+vjmtUsA7wJXAGMxt3DnwD0A5oi8/8jgTQk/edO4GtgGPAjMMR17Q9IA0EppZRSSlWN\nBv0+kJmbydr9a7mu13VeXf/oL49yJPMIz4x6xsc1qx2hSHYeT2e7jqL6IRl8PgNuBrohvf7DgLHA\nt8j+AEoppZRSyns6vccH1iStITc/l36tKt/T/0fyH7yw5AUeOPMB2kS0qYba1W39gXXIYmBHHyTY\nX4bM888q4TqllFJKKVVxGvT7wLK9ywj0C6RnVM9KXWetZfL3k2kT0Ya7B91dTbWr+5x0n54GAzOA\nn5E5/htruE5KKaWUUicTDfp9YNneZfRs3pPggOBKXff1pq+ZkzCH5895npCAkGqq3YlrODAb2Iuk\n9LwXOFarNVJKKaWUOjFp0O8DEcERnBtbuQW4GTkZTJk9hXPbn8vYjmOrqWYnviFIPv9/AC8jef4/\npvx8/h8hawOUUkoppVQdCvqNMbcaY7YbYzKMMYuNMWVOkDfGTDDGbHSdv8YYM7qEcx4xxuw1xqQb\nY34wxrT3uC/aGPNfY8w21/1bjDH/MMYEVrbuU0dP5dFhj1bqmqcXPs2etD28eO6LGFN0cotyHEE2\n94oFfkEW/l6G9Po/iaQELeo7JBXoxcB7aN5/pZRSSqk6EfQbYy5F4reHkXTua4DZxpjIUs4fCHwI\n/AfoBXwFfGWM6eJxzn3I/lA3IetFj7vKDHKd0hmZSn4D0AXZR2oS8Livn19Re4/u5d/z/82UAVPo\n2KRjdT/cCW0BkrpzIvImbkY+IM8ADwJJRc7figT85wJNkDf3DGBHzVRXKaWUUqpOqhNBPxJwv26t\nfdda+wcSfKcDpeXAnAx8Z619zlq7yVr7MLASCfI9z3nUWjvTWrsOuApoCVwIYK2dba293lr7k7V2\nh7X2GySWHF8tz9DDk/OfJCQghAfOfKC6H+qEdx6wAZnX/yGywNcCPYF8YKTHuceAi5BNv6YD7yCZ\nf1Jc163zODfXdf5qYC7wObK/wLPAPNdjbK9CvfcjH2odZVBKKaVUXVDrefpd02n6AP9ybrPWWmPM\nj8DAUi4bSPGZHbOBca4y2wHNkU1enTLTjDFLXNd+Ukq5DYFDXjyNCtt3dB9vrHyD+8+4n4iQiOp8\nqJNKC6S3f6Lr51wkv/+fkNGAbsD1SI/+EiACWQ8wBXgF2RRskKucg8iOv6cBu4s8Tj2ktRmPNBLG\nA1Nd11fEeuDfwBZgqevrTIpnJ1JKKaWUqkl1oac/EvBHOkc97UcC95I0L+f8KKSztsJluub73wa8\nVqFae+mpBU8R7B/MHaffUZ0Pc9ILQBb0xiKjAX9DWnLvIHO1HI+7zgkBbkQ2/Brl+jkfmf+fgIwG\nOL3/s4BAIBv4FGiPDAFVJHPQbuBLJOAf4CrrZa+fpVJKKaWUb9R6T38ZDOUnaans+SWeY4xphcR/\nH1tr/1feA02ZMoWIiMK99BMnTmTixImlXCGSjiXx2orXuG/wfTQMaVjew6hyNAC+QYLrp4D7KT43\nKxR413XOKGAf0li4AngVCC+h3POA0cgw0UPAYmQx8RPIyMGtyJBQSVKRkYLzkD0GGgN/RUYdelT6\nGSql1Ilp+vTpTJ8+vdBtR44cqaXaKKWgbgT9yUAe0jvvqRnFe+odSeWcn4QE+FFFymgGrPK8yBjT\nEpnWPd9ae1NFKvz8888THx9fkVMLeXrB0wT5BzH59MmVvlaVrBWSmvMrJKNPSfoCfwceAeojjYA/\nl1OuAUa4jqddZXcCHkWm76xw/ezpd+AvwJWux/gDmX6Uiiws3opMHzoZJCONoktruyJKqTqppI6w\nlStX0qdPn1qqkVKq1qf3WGtzkBhquHObkRyWw4GFpVy2yPN8l5Gu27HWbkcCf88yw4HTPct09fDP\nA5ZR+qLhUh3KOERmbmaFzt1/bD/Tlk9j8umTaRTaqLIPpcoQh/Ty+5dxzoPIaMAqyg/4i7oH6fFf\niOwXMAn4osg5h5FFxB2A15FGQxwyzWccMsLQB/cw01ZXWb2Q0YOsStaptt2LpE79obYropRSSqkK\nqQs9/QDPAe8YY1YgcdIUpFP0bQBjzLtAorXWSXfzIvCLMeYuZNr0RCSmusGjzBeAB40xW5H1nY8C\nicDXrjJbIDMwdiAxTDMnX761trQRhkIemvsQ83fPZ82kNeWe+8zCZwjwC+DOAXdWpGjlY4FI8O6t\nfwJpSOPCc6QgGZgBTENWgM+hcG9+GDLH/2rXdXcjLdNFyKjDSGSh8UJkTUK0x7VJyKLkxci6A4NM\nTapte4H3kXUR9yBps2q990AppZRSZaoTQb+19hNXTv5HkCk5q4FzrLVOxsPWyDpL5/xFxpiJyDrN\nx5EkKeOstRs8znnKGFMP6XhtCPwGjLbWZrtOGQW0cx1OEhdnzn9ZncYF1h1cR5emXco978DxA7y6\n/FWmDJhC49DGFSla1TEGeB5ZzHsNMpVnGfAr8oE5A2lNtivl+rdd174InIOkFL0AaSAsBS4BugMd\ngTbIiMQO17UtkcXJTcqpYz7SCPHUEAgq4dyqeBFZK/ExsvbhfSQfrrfWA42Q56mUUkqp6lEngn4A\na+2ryNrKku4bVsJtnyPp1csq8x/ILIqS7nsHSfbiFWst6w6sY1S7UeWe++zCZ/EzfkwZMMXbh1N1\ngEFakOnIMNJwJNXTBRRfYFLStR8hgX/RyV39kd7yccB8JKVoH+AWZE1BTyST0DpkN7rVSKB8L7Jg\n2HGshHqEI4ubJwLDqPovfBrynG9C1ilcjEydmoA0BCorFTgTSeG1Ehn9UEoppZTv1Zmg/0STdCyJ\nQxmH6Nqsa5nnHcs+xmsrXuOWvrfQpF55fbWqrvMHPkA28qpskBtI8YDf0Rj4BVk0/BAyJehL130B\nyGhCHjKNprPr9muRjcucT1UoMtXIWTdgkUB6OjLS0BQZ7iq6ALksB4FvXXUbBewCMpCd70AWNXdB\n9jK4rxLlOv6NrGfYi+TLfduLMpRSSilVPg36vbTugOzv2q1ZtzLPe3fNuxzPPs6t/W+tiWqpGmDw\nrle7PH5I4DwFSTm1z3XsRRobvZApQKHIfP8uSPD9vuv6QGQfAk/jkKGuz5F5cN2QhS8vU3wevkWm\n6zRA1iJsxb3qvT3wmev2K5GsSSALlychO+tdj/TYOzYh6xg2AzuB3shIiWM37sZCLLLuYSSSTlUp\npZRSvqXr77y0/uB6QgNCaduwbann5Nt8pi6ZykVxF9Emok0N1k6dyIKQ3YL7I0H7zcjGYv1xNzaa\nI3PrP0B2/C3NYmR6zwSkIXEdMj3nBmTkwFMmsknZZ8i8t8PAf5GGx2ZkwU0SshjZ0/8hDYbHkHUF\n3yKNh85IkJ+KNFZOL+G6CFd5VyGNiUlIY6MyG3Q4liENoa+8uFYppZQ62WnQ76V1B2QRr79f6Wt+\nf0j4gU0pm7ijv+6+q3zvSmAMMr8+tch9+5Be/4HARmQ60nYkCH8PmUZzNe7V8VlIQ2A5kqnoPmTd\nwDpkWlA+0gA4n8I7HuO6/29IFqJ2rjodRBoOicCPrsf3zIn7u+v+/0NGFkAW9EQhG5lFII2GK5FV\n+uVJRRZD70YaOc/jXcNBKaWUOlnp9B4vrTuwrtypPVOXTqVX816c0eaMGqqVOpU4C4u7ILv+OltJ\nf4wsAg5C0oBeTOHW/RWu+y5HFgi/iATMy1zXXuI6rw0yz36v67b1SGrSktyJLG7ei+x+PAYZrSg6\nmuD4G9JA8Myxu9H1nPYiU4EGI42Q8v5I5SANisPAWuQ1uQtJc3oL0ihpWk4ZyneSkFGlnrVdEaWU\nUoVo0O+lLy/9kuy87FLv35KyhW+3fMtb497Cyf+vlK+1Qja5+AuS6WcG7sD9VUpP8zkBCfwnuK4J\nRzatGOBxzi1ACyTzz2eu+0prvtYDFiAZihbgXpAc4Lr+XmQ9Aa7H+dZVzyDguOvcF3FvVvY8EjzG\nAA+4vvZFNkArOjw5CGkcPIA0VC5DRihecR3LKBz0W6RxUVneXJeFND7KT+x7ctgGnI0E/QuQLFRK\nKaXqBmOtDoJXlDEmHlixYsUK4uPjyzz3ju/uYPq66eyespuQgJCaqaA6JVkkfeYcJDvQq0jgWxHf\nu85/EShtdcp8ZCrQq8geAxWRj4wMzHGVvRuZGnQfMiphkY3HDJJR6ALg78iIgR+y8Hg9sleBc+wE\n+rnKG+h6nKVI0N8UaSTUQ1KqNkQaCfNdjxWAjAjkuurWAUm5OgxZcLwHuND1c2AJz2c1sk6hHbIh\n2Vjcm3kcQqYgrUQaUAbZc2AVMo2pOZL16GTnBPxBSCPyELLVuu5MohwrV66kT58+AH2stStruz5K\nnWq0p78apGWl8dbqt5h8+mQN+FW1M8jUnqlINp/KbHJ1rusoyxlIb3Vl+CGLd7sDdyBpQ59EcvID\nzMPda94YCao9dyOe4Do8/YY8v0HIFKX7kBGNvsgmaWuR7bkHIsFnIPAH8A3yhy7Q9dW4Hm8usqgZ\nINj1fSMk+J+AjC4sRhZPT0ICfn9ktKEDMoVoHDJV6d0idQ133Xc9sgC7LBYZ/TgLGRnIRNKiHkcC\n6S3INKuiowwWCarzgHhKbqz42nfIazCcwjsYegb88zzqdAXynujiMaWUqn0a9FeDt1e/TWZuJjf3\nvbm2q6JOEa2QoLouCsSdnWcW0us/1OP+sne6cDsTmarzNjKV5wMkSP8FCTb7ug5PnXHva1CSRCRI\nfQ1JT9oeaVy85brfuOo/AMmSFI6MUDwL3IpkVnKC4MuRkYKVrue6E3gJWZRclgWu60oTAlwKNENG\nKRYh060+x72VeD2ksdMXeS3a4069Goesr6iqb5HRGotskX4VMgIUQOGAv7Xr/OlIg/IRStkh0Qd2\nIq9DE1d9dCKlUkqVTqf3VEJFpvfk23w6vdyJvi37Mv3i6TVbQaVOEUeQaT5DXEdV5bnKewAZcXgI\n6b1+DAnoP0cCa0/bkB760cjaB08LkcXM0cgUquZlPLZFAv9NyKhCCLK78u/IlKQcJJVqMrIZ2z5X\neRcDf0J60f8L/IBMcSrqOWSdRGmykIC9rIB5I9LwGYq8Ru8gQf1hpGHRgsIBv+MxJEPTLOR1Amm4\nbEFGYcA9AhMIdMS9B0RpdgGfuo4lyChNFjJC8z9K3wBP1T6d3qNU7dKefh/7bst3bD20lXcvLDrg\nr5TylQgkmPQVf2S6zmik9/pqJAi+EPgQCYqLauc6SjIIGTE4B8lCdD0yjck5GiI98fVdxwDkOX2N\n7DOwwlWnKGTDM+e4Aln/MBj3lJkLkFGIvsiUpwgkyI9A1mEM8qiXRRohTyENpzgklWuK65qertsP\nu45tyDSd/0MC+veQ0Y7TkcbE18g6hvMpvDGb46/ISMwVwDXIKMhK4Ggpr1soMk3teoo3Qo4jU6le\nRgL90ch7cz4yVesaV13/jTvNq/P6NUHSyI6n9KlG+cji8nMpveFgkXUnaUhqW2f3la3ImhhnylMe\n0ljTyZ1KqbpEe/oroSI9/ee+fy7J6cksu2GZZu1R6gSUiwS0ychOw1XpGdmJBLx/IHsJ5JdzfgMk\nmL3Q9bVhBR5jBTIKEedx23ZkFGA9ksHoWiRAfwwJugci06o2ImshSgrC/ZH1IfWREYRlyM7JRb2A\nNBhCkClYI131/hYZfRiJTKNKxj0Fqw+SzckfWYx9KRLUO732w5B0s072qQVIQ2wvsrP09Ujjw7HX\n9TxfQBZyhyANtbQidb0CmbpVdP1Dtqv8j5DRjDklnAPSiLoVabgdRxoA9yONkZXAE0hj77+u51ta\nA6aofOSzst5V7gCkQXGy/QfRnn6lapf29PvQ5pTNzE6Yzdvj3taAX6kTVACSYtQXopEMQiCB3VEk\n+E9FpvA4x1FkWstQJPCtjJLSYrZFAuXJSDrX/0MC46HAT8gcfM+/UAeA94H/IA2Us5AGwlfItKfZ\nlBzw43qM4UiA/wPwMBK4D0CmAl2AO11rScYgr8cK4AtXHeYiU5iuct33lau875BF1J5ykDULga6y\ncpCRj0ykgTEUWZi9zVXeIWRqUJjr+uNIStVEJOvVp8ji86J7UixHGje3IY3Bp4FnkI3nLkamXjnZ\nn/7suuYGZHO61ym8tsMii88/ANbgDvY9tUZGdAa76lXZvSYykYZPWYuok5H3djvy+mxH1on0B25H\nXnNv/pMdRZ63k75X/xsqVTdoT38lOD39Y58dy6d3fEpwQOF/z5O/m8yH6z7UNJ1KqTrjfSQYv4HS\n91lwWGRE4GFkBACkt/r2SjxeJhL0l7eAuTS5yLSdu5EpOQZZpH4XhTMGnQ0okAAAIABJREFUOY4j\n03LG4x4Z2YCMEkQVOfcHJPtSDySrE0hDYbnr2mSPc+sj07cCkUD/n0jg/RvuhtkepEH1FtKwaYE0\nqnogow4bkAZkJLIGoiOS6ek1pHEVi7wny5HGX5qr7EHIaMIG132tXOWWlFY3E9nXYg3S2NiMNHp+\nQxpIj7qe80eu53wH7v04kl1lhuCertbcdX0C0qD80FVWPtIg9nd9DcK9BiUUaVwsRNZv/IY0vjq5\nvncaLNrTr1Tt0qC/Epygv+EdDUl9MbXQfUezjtLquVbc3v92Hh/+eO1UUCmlfCAf6XVPQqaz1EZP\nbR6yMHcgZY8UVNZS4Dzci6v3IyMIfZCe7u3IKMdvSNrVcCSQ3ohM4Ykpocx0JPA1SJB+LbJBHEig\n39B1bQDSqBmPpIEd6rrmZtd9LZERmfeRNRVDkVGEF5Dg/kcKZ6PKAkYhowb+yGvmh4zUjEMaCo2Q\nFLW/I42HvciIxaPItLBMiq89yEfWajzteh5HkQZheUKQkYn2ruc1icI7M2vQr1Tt0uk9XmjfuH2x\n295b+x7pOelM6jupFmqklFK+44esCahN/sjohK/1RwL6UUhgOh/pkQZ3b/eZyFSdRUj61beR3u+Y\nUsr0zOzUF5mqtApZIO3vKusFJJi+huIjEEWnEj2Fe6rTPR71OAsJ/HvgXpi8xPW1MfK+fYn0uMch\nU5m+QRoPC5HN7Z5HRie+RqYmFc1+ZZH1FPcjU31udp3f1FX/XNeRjUwJGul6nG5Io+Mn1xGFvMY9\nUUrVFRr0eyG2ceHZrdZaXl76Mhd2vpDTInyREVsppVR1iUPm0UPhBcGOIGQvhL5Ib/d9SJagigpC\nMhx5uqcS14cii46vQALvRkh62HOQIP0lJBA/jmRHGuhx7XPIOoynkB732Uhg7ozW3IN747ihrvIM\nEsRnIQH8dtc53+NuEIE0KoJcRz0kW9JepAHxIRLo/w3p7W+HzuVXqq7RoN8LRXv6f9r+ExuTNzJt\nTNH+GqWUUnVRScG+p+ZIBqKPkfn8tcXpRqqPLHA+D5m73x3ZGyG6yPlhyALqB8oosyPSWHjdVWaQ\nxxGCjBxUdP+LYGRn7EsqeL5SqvZo0O+Fdg0LZ+d+eenLdGvWjbOiz6qlGimllPK1Hq6jrohA0om+\nj+wA3aAKZfkhU3d033ilTh1lZfNSpfCc3rPj8A5mbp7J7f1v1zSdSimlqlUYcBNVC/iVUqcmDfq9\n0CDY/ef21WWvEh4czhXdr6jFGimllFJKKVU6nd7jhYcfhkaNICcvly829CO2yQTu3BpGUBD07Akt\nW4K1kJ/vPhxHj8LevRAQAMYUPkC+9u5d+Gc/P/dXgC1b4OBByM6GnBw5cnPlyMmBBg2gdWvIy3Mf\n+flyfUCAfN240V2mZ/m5uVJuTAyEhUl5RetpDKSkwLZt7jr6+0vZAQEQGCg/9+rlrlNJx65dkJYm\nr5VzGOMuo149eZ39/eVnz6NePalfQIB8DQqS5+k8Xm6uXBcVJWWEhkJIiPs1dGRkwKFDkJUlzzsr\ny/1+OfXp3BmCg6WM0FD53nNQ5/ffYc8e9/PKzIT0dDn8/KBNGxg40P3YznuSmytfjYGFC93P098j\nGbnzOH36yHNx6gVynnP/tm3w88+FP3POawry2JPKSSz17beQkCDn5ucXr2eXLnDhhaVfn5cHr7/u\n/iw670V2tvu1vfZa6N69+HW5ufL92rXw+efF6+/5nJ96qvhjWyvvZXo6fPopbN5c+LXwPLp1gz/9\nqfDn3t/f/RkBePbZwq9v0UG8sWMhNtb92Hl57ucJsGkTfPGF+/fJeR2czwjARx+V/X489RQsWVL4\nPbBWPuvBwTBkCNx2W+nX5+bCX/5SuI7Oa5CXJ8/v7ruhb9/Sy1i1Cj7+2P1+OL8bzmsXGAiPPSa/\nxwcOuI80j61wV6yA/fsL/3463+fny+c6Ls79GQgJkefnfM3Lk8+2Z/2d1zonRz5XTZrI3z3n75m/\nf+G/f8nJ8jsaGCivn/N3xM/P/dk6/XSpQ1gYNGzoPkJD5Xd60SL5252d7X4/PJ9H8+byO5KVJUde\nnjyW834FBMBKjySVzuM6vyt5eVJGaGjhz7+1cltEhHx/6FDhv2Wef5eDgmDwYLnf+Sx7vg7Wwo4d\n8n/I8zrn/pwc+Xs3erS7nvn5hX+n09Ph6afldn9/OZzX3Hl/+/WT+mZmwrhxxf/uKqVqh+bprwQn\nT78kZIvHnbm47k3rcf4IO3+QPQM55x9MeZzgG9z/8D3/EVWkjKJlOUdAgAQGGRmlX1O/PjRt6v5n\n5Hmkp1f8sX3N+efqNHQyMtyBXE0KDJR/rBER8hrt2FG4js5Xp/Fy/vnyHgYFuYOCkBApJy8PvvtO\nyvBsKHg2CmNiJCA4eFACu8OH3Y/hHPv2FX5sz4aln59c36QJpKZK8JKa6i6nIoyB8HAJooKD5bN8\n7JgcvvpTFhIiQRuUXqbz+wXlv/eejQvP38u4OHdA6HyePBsXmzbJ6wPu253fu9xcafhGRBQOop3A\nODBQyk1KKtxh4FkWSAdFeLj7HCfYdo49eyRo9/z9L9og8/ev/Off8zMSHCzBdUCAlJmVJcGi0xCv\niB495HPl/I1zOjmc39HkZHk9S/o75nxO27aVc48fl8+kZ8OlIs8nIEDeD+c9dV4X53k4nQFladVK\nXgvPzh6QvzGHD0tnS2X+7nrD+VvtBPlV/b06elT+loPm6VeqtmlPvxeWdb+WvmvXcNWXV7Ni3wrW\n3rS+4A+601tVNGBygq+0NHdvERT+5+No06b4fZ7/qFJT5Q+/E/gEBLgDh6Agd09VWfbudX/v/JN0\neqZCQiQQCAoq/XqnB9O5rmhvZ06OBBROgF/ScodDh+Q18+yJ8iwjIgI6dCj58fPz5doPPpB/prm5\n7sdyjrw894hFRkbJDYyUFAl0ndfOCb48deokj+GUkZHh7snLy5P3IztbeuPq15fXrkEDeVznPXMa\nXda6AxEn+MvPl2DZs3fceY7O15JGGI4fhyNH5HCCFM8ynB5Ip+HnBEIZGVLnjAx5XtnZ7oClTx93\n8OW8D877GRoq17RtK72iTnBS9DPq+V46nxPPQM5a6SVv1AgaN5avTq+kZ89+0Z7+3Fx3L2pmphyB\ngfKa168vr3e9esXfPyj8e+gZQDt1zs0tPEJz/Lj7M+XZUPW81qmb03vs9CA7gatnPT1HkpzD8/V1\nPk+er0HHjsVH4jwDc+f33/Nz77zXzoiTc2RnF26EFX0ezmuRne3+XKSlSXnDhsnn2XmdQ0MLN1aC\ng6Vx3qyZ+3AaEp6culVGfn7h98yzzp4jWs5z96W8PHkN0tPl9S5ttLCinM9F0QaU5/MLCZHnUpr0\ndGnApKcX/7/gvB5OD3tmplzj2fnjNMyPHSs86pKf7/7MZGW5R4U9P1fO58zz75fn/f7+7tfJea1C\nQ+X3UilVN2jQ7wW/39eS/e0sZmyaweTTJ+PvL3/YKvLHrXFjCURrW8uWVbve+WNfFY0by+ENPz8J\nQG66qWp1UErVXSUF2J6Nl+rk7y8N0kaNfFOeMe7Grbfq1XN3CnkrLq5q1yulTlw6084b/v5w5eUc\nyTzChK4Tars2SimllFJKlUmDfm9cdRVBqWm8saAxXZt2re3aKKWUUkopVSYN+r2QM+lGDoYZrp+b\nijl4sLaro5RSSimlVJk06PfC0r3LuGy8xeRbGD++tqujlFJKKaVUmTTo98KP235kd78Oksx44UI5\nlFJKKaWUqqM06PfCzzt/ZkKXCZgZM2QnlHHjZDcgpZRSSiml6iAN+r2QlpkmWXsCAuDrryEyEs49\nV7adVEoppZRSqo7RoN8LrcNb0zOqp/zQuDF8/73saHLeebL9oFJKKaWUUnWIBv1eGNFuBMZzi8jo\naPjuO9i6Ff70p8rvSa+UUieLvCzISavtWiillCpCg34vjGg3oviNPXrAl1/CvHlw2WXw6qtw4EDN\nV06pmpA0F9b8HY78UfWyUlfD4d+rXo6qPTYf9v8CS26AL5rD55GwYCIc+BWsrZ7HzE6FlOWw82PY\n/SVkJlfP4xSVeRCO7XA/r7zs4ufk53jX8LH5JZdXXfLzIH0vHF4POcd8WGYiHJgPOz6svvdfKVVp\nxuovZIUZY+KBFcuXL6dPnz4ln/Tpp3DTTZCaKj+3bi29/1deCfHxshe7L+VlQeZ+CG0JfgG+LTsn\nTYKx+rEQ2rxqZWUmw/EdkJ9d+MAP/IPABIJfEASEQf0YCAz3wROoITnHIHkh5GVCcBPAH5IXwKEV\n0KQftBgN4Z18/97XBGsh5whkpUCDWMg8ACv/CjveB/9QyMuA1uMg7j5oOtB9XX6uvN9Ht/L/7Z15\nmF1Fmf8/7+3bfXvf0p2lk0AIkAXCkoAsijAz0WF0NG4oi46OPjou6IPLjOiIy7jNDIoLg4zOMD7o\njIMPooxBQCSoIBi2BII/lpBAlk66k06nu9P7dm/9/viek3vT6c7a6U5u3s/z1HOXU+ecqrfqnPq+\nVXXqMLBDAm36a6DqtGyczhfh6c/Aljv1u/oMmPMu2WuwTfZKpKCgWCFZAaUNo6ezZzOs+z40/Qoq\n5kPdhVC1CIqqYbhb14YloeJUKK4/BDtkoH2NPivnQWHFntvTA9D9EnStkyOUSMpu/S3K/3AfhGGJ\nwemvgUWfG/tc6QFo/jUM98JQBwy0yf6DbRDSUL0I6i+W7Xs26piFlVBYBUVVUFit/XY9p/QSVB7p\nHh1zuAdKZsDCT+07z0PdOk5fs8qq8efQ8ntdt4U1UH4KVM1XGW25E3oboWwOzHknFNXAun+XTUpP\ngLoLZP+BVuVjsEPpr381kFa+QhqKpkD9q6D+IpVVfM30NsHWu2DbA3IS+5tVriOpOh2m/pn2D0PQ\n/gy89F/6Djp+6SwongrJUtlswaegdzNs+qnsXvcqmH8N1J2nffqaoXMt7HoWNt4GrSuBDFgBkIBU\nHSy6Lor3vOzetU7lXX0WTPtzqFmsvIZhaH9K99XOtSq/uK4P7oLBnSqzZJnSmqqFolrV5YqTVQ/a\nVkPXWiieJnsXTdH1VVwP1WdC7WKoXACJwmz6dz4eOUbbVTag8mp/SvUB4C/uV92M6duuvLauVHp7\nN0FPo2yZGQZL6B4Qh2SZyrR3s+pkzGVtu8+5evXquO08J4Swet8V0HGc8cZF/0EQi/5VTz7BkgVT\nof1P0L1ejdPUi6GwXBEzGVixAq6/Hh56SNN9UsBJs+D9H4Ar3w0zTtxTBKYHYaBFwrd46r4T0tMI\nzffC1rth+wPRTdsgVa9GrCIS6UPdMNwFQ11qqMtOlPhMTVNDA1CQUqOdKNJNvLcROp6BoR4J1zCs\neMVT1YDVnC3B0PmiGqAwpGMX1UH5iVB6os5TMl1CbPsDaqg71hycsVN1cjbKT4bSmWo0iqolNopq\noGohlM5W3rvWQc8m5al7gxq4zuflSMy7Wg1Z9RlZe6cHYdef1EvYfJ96pQZaJdJiWyZLIFkukVp9\nZtSYnivBZzkDZJvvUI9mbKe9MCCocW54vRrjnk3Qs0G9hb2bwKIyL54OJVMj0dYZiaN2nbf+leph\nHGiViBxog9pzYM5VOvfv/ipqdAfU8MYBg4JSWPgPkOmH7peVlvpXaf+ClJK59kZY+2/6nulXbx0Z\n1Z10r+Ke8iF4+tM65uJvwpwr1ZP3/Deg8wUomSnxObAzEi/prBkSKXjF9+Hkv1U+/vRPsP4HclbP\n+prK9pkvQftq2Ws0imfAwr9XGVTMUz5afg/rbpYgTJarfgy0RHkfhWRF1pkorIrEcqXEVdUiORdb\n71bdMiJhtkkilUz2OIXVUHaCBFnPRsUZme5ESk5g6WydK3Y8ppwPc98d1Y2YoHP0NsppeOqT2foT\n74dFjkNuT7ApPyEnbaD4u+tkAhIFSo8VKK4V6DpKluaItnIon6s6WrUAHnpzVhDGFBTr2Ok+qDpD\nWRjcBTMuhZPeBXWvzF5nG34CK9+1dxlYUmlJlsqBsYJs6N2q+w9B14QVQV/TnrbP5YR3wHnfVz1t\neVBh+4O6L4PKx5K6Ngi61sOwrolUrRx1TNdU2RxoeJ3uCd0vy3Gcf416rNfdlD1nUU3UyZJSWQy0\nyQkpmQ6VC3XPqFwom7Y8qFGxvsbR0x+Xz8y/Vr1ITZGNB9t13MGdchyb7pHNrQDK5kLtEuh6Ufe+\n4W7loexE1UVQ2qpO17XQu2Xs85adqPYrkVT5W0I26XhGNgBd17VLVD/7mtRWJIp0fQ91ZduYZBmc\n8n7ZcXc4Mdsu4qLfcSYbF/0HwW7R/1VYctJoEZLqZao7D7pe0k15x1p4oBd+C2wBTgdeDywCCgoh\nWQRkosYn6IZffZZ62AY71EDHwrwgpR6UrnU6XyKl3px0/56is/QECeVkhW64yQrF694gcda3df+Z\nnfE6mPkGNXw9G9TL2bFGvWwDrdEw9BjCKpfSWTBtKUxfmhVViahn/96zJbRHNujJMjWYNUskOPu2\nwVB7ZI8cIVlQqu2jkazQedI9sk/xVAmS3i1q0DKDWaGRGc72+qVqs73bw90SDSEjG8THrV0iIdfX\nJJv2bsn2JNYskQNYfWYkCFrlKDXdq4a7b4vKp/wkKDtJjeK676k3bn9YUs5Qcb2E6s4nVO71l2i0\nJFWvvA5GPcP92ySwY/smy9QQd2+Q3RIpmHKu/tv2gOKDjm0FEnNxj2bxVKXxpPfA4m/s2VseMhLd\nj75PjT+ZPcspN/0lDVHPZgGc/jmY/zHVCYDGX8C2FTpe98uqX5nhbM/icI/q7sh6V30GnHq1epif\n+JDKrGSmjjPQonzEwrm4TuWcieadD+7S50CL6kV/SzatIQBplXnVIvVWF1ZoJKF3s8LATtmvcp7E\nU8Wp0NeiaS3bV8D230kUHRQJOdals5SXwvLomihTT37pbNWd8rlyPBJFss1QZzQqswNaH4MdDyvE\nDj4o79VnKBRWZZ3D4V6ls2u97i+5jkWqHua+DxZco3TtLvew79Gr/h3Znn5LAhmJ2rgHeiwGd6l3\necfDsPnnynvt4ux1lZqiss0MqmxKpo1y7tbIcS/b8//0gOr6ljthyy9VD094hxzYKecrP5m0RozW\nflflB3ImF3wC5n8ciir2Pl8mLcdqNDJpeOkW1a9EkepS9ZmR01iddbz3RW8zbPsNNP0ati7X9VtQ\nDDP+CmZfJmclVSvbdayBtqd0vlQd1J0Pta9QGfdtUf0diOrojj+ocyZRGDljhQqVC3Tvr3sllM3e\nf/pCUJsVjyKMgYt+x5lcXPQfBLtF/39czJLFZ6mBLztJjWT7agnqzGB2KkTFPPWsV8xT4/TE0/C7\n78PZL0ISGAC6gUQJlFdDeSWUTYGahdBfDLVTI1E6oOOmB4Cg4xfVqNEuKNZn+Vyds2zO/huR/p3Q\n+ZwEQrpPUw/ixr/qNDWusRAbi3jKwXA0mhCCQtyzlBmG2W/ec4h+NDJpCeP+Zon7vmYdo2+7eo1y\np4OEIHEz0Aq7/h803y9h0NckwTPjUpj9VvWaxY1Puh92/FFisnWlRHbtuRK71WfJtoVV+596M9ih\n6TptT2qEoL9ZwrJ0VjZMuWD/DeRoQmmoW/9Zgbb3R0u/WiIaVUhIwBRW77nvYDts/hls+DHseCT7\nf6IwOzJRfaYa8Mp5Sq+ZHMf2Ndqn9RGNONRdANP+QmWfqo1sNygB0fqopjaceLmmKhwImbRGDIa6\n5Ez0bolCo4TPvI9GU6EOkpBReXetk0CtXKhRi/GYOhWC0tr+tKY9AMx8o0TaoR4/E03n2O0MhahX\nPsOePf3IoSg9QcJ6vKbqhYzuSz2NupZKZ+0/L/HUrM7oeY0Zl+5fqB+LxG3fvuzR/ozE8+y3qmPg\naGC4R/eimsV7TzM7ynHR7ziTi4v+g2C36F+1iiVLlhz6gdJpyPRBaxfcfbfW+l+xAvr7tb26Grq7\n9R6AWbNg0SJ49avhjW+EU05RI9XVBc3NCiHAOedAxbHVAIwr++t1zHe6XtJzBZUL1Yt7IL2HjuM4\nE4iLfseZXFz0HwTjJvpHo6cHnnoKNm+GDRv0LMC6dbBtG/TlTGdIRPPJMyOmxCQScPrpcMEFCtOm\nyXmYPRtqaqC8/PgWxY7jOM6k4qLfcSaXcV7uxTlkysrgoouyvz+Xs7pHd7eWAr3/flizRi8Ce8tb\n4LzzYMYMGB6Gxx+HRx9VuOWWvZdJSyYVd+ZMfc6bB5/8JEyZAgWjzEUdHpbD0dYGc+fKaXAcx3Ec\nx3GOSbyn/yA4oj3940lXF6xerSlDTz4Jzz4LW7Zkp8DklnkiAfX1MHWqQne34jY37zmaUFoqB2HW\nLGho0OjB/Pl6MVlREUyfDnPm6Bh7zVkf0jsL+vqgpASKi7OfiQSO4zhO/uM9/Y4zuXhPfz5SUQGX\nXKIQMzysHn0zifC1a/UG4e3bJcjjzxNOgL/8S4n71auhsxMaG6GpCXbu1IhCepSVWWJKS7Pif8sW\n2LhR595X/KoqpbmyUlOS4hGJhgZ91tfr/6oqfZaXu7PgOI7jOI5zELjoP15I5hR1YaEeDl606NCO\nFQL09mqaUUGBPpuaJPA3bNDn9u1yHGprJdBD0MhB/JnJyBm46ioYHNToRGenXmr28svw8MOwdau2\njUZBQXaU4vLL5RBs3apnIuJQVKQHnzdv1vSpadOiFYYGdNyBATlAc+fKSYlHQFIpORYVFfocHIRN\nm7R/Q4PyVVwsJ6m5WXn9/Odhx47suRsbtb2hAU46Sc5NQ4NGRjIZOU7ptGxQVqZRlJKSsZ+7CEFp\njVdJAuVvspyfTEbPoRzPD487juM4zjHEUSP6zexq4O+B6cAa4GMhhCf2Ef/twJeBOcCLwGdCCPeO\niPNl4P1ANfAI8OEQwvqc7TXATcAb0Bp6PweuCSGMeCONswdmEqplOWtgT50KZ589vucJAX7xC267\n9VaunDlTjkF3t0J/v6YLDQ3BPffArl0aFYhHKmbPlqhfv14jDk1NciZADlBu2LkzWjIzEtyxExKf\nq61tbOcj5qacl/ckEtkRil/9So7BgZBKSfzX1ChdBQXZAHpeYyQFBRL/JSVw3XV663NHh+zR0aF8\n9PYqrF+vh8ULC7VPYaFCMpnN+1vfCm1t3Pb881x5ySXKQzzSsn49/PjHGiVqaZFNKiqyIzOzZsGC\nBbB4sY4fh9JS1ZXycv3+7Gd1voEBpXP7dqWhvl55P/98OaTFxcpfbIuiIo0GdXbqIff4v8FB5bWt\nTU5jWZmcvbo6hYqKvZ2pXbu0f2lpNp3J/dwOh4dVtkfI0brtttu48sorj8ixJ5xjZDWtvLK54zjO\nfjgq5vSb2eXAj4C/Ax4HPgG8HZgXQmgdJf6FwEPAtcDdwFXAZ4DFIYTnojjXRtvfA2wAvgqcASwM\nIQxGce4FpkXnLQJuBR4PIYzyGsljaE5/nrFs2TKWL19++AcaGJDIPVjRFoLE89atGsnYsEGisaZG\nAjOVUqivl9MxY8aeArK3Fx58UIK7pUXnN8uOgPT36zgzZ8oB6eiQwEyns6MCmYxGUBKJrBPQ3q6H\nrWMBPpLiYgnesjKJ23RaoxFDQ9nRjpFUV8OUKSxrbmZ5QYHynUtVlY5jpjTmpjMfiEX9iSfK8dix\nIxs6OhSnpEShvT2732j30VNPhZNPVr1IpbLHjsv/hRc0ohU5X8u6u1leUZEdzUkmNUVv5CjZwEA2\nbN6s+jNSYMcO0WmnyQkuLZWTHDuAvb3ZEbcHH1TcVCrr/MSfmYyc+cFBOc5NTSrv4uLsszkdHfDS\nS9nj9vRov6oqOWk1NfCa1yh+XGfiegNK+3PPad+ioj2n+lVWKm55uUYNOztVJ/v79xyxy2TkPI50\n4HJHFs86S6N6sTNYV8eyD36Q5V//uq67eMpjRYVG9aZO1WdJicq/rU1p2LpV11B5eTaUliqdTz+t\n/CcSWSe1qio7NbGiQnbo78+G2BbptMqosTHrKOeG2EGdM0dpivPX3a26ODioeEND+i+dzjr3ufW0\nsFB5S6XGdszWrs3un1v/4u+lpdkV4XLD8LDSMTSU7ZRZtGj3Pdfn9DvO5HK0iP5HgcdCCNdEvw1o\nBG4MIVw/SvyfAqUhhGU5/60EngohfCT63QR8I4Tw7eh3JbAdeE8I4XYzWwg8i24+T0VxLkVOxKwQ\nwrZRzuuifxIYN9Gfr4Qg4b91q0RFLDJS+1mrf3gYWlslpGpqsiMM5Ni8v1+Cp71dQriqauzj9fVJ\nkA0NZRv+gQGJue5uiaHubgnSBQs0GtPRkX1oPH62o6hI5xwc3FMQ9ffr+C0tcna6uiSgamuzz3rE\nQmbJEuWttXVvxyUECe6dO5XmwcFs2uPRnXjkITfU1WWnNe3aJcE+NJQdMYlDLN5qavTZ2qp4uQ5c\nJiO7dHbu/n9ZdzfLq6slkOJRqPnzs05C7CjGTmYqBY89pnzkxoFsGSQS+t7bK6EWh5ISlUN/v0Rm\nnK5Y1OWSSqmsGhrk0BYWKl+xaG1sVIhtGx8nTk8yKfE8NJTNV67zHYKcl9gRGatNKixUHSkvV7nn\n2qG3F1at2nd9T6VUH3NYBhz0nSV2inrHeBv4kaaiQiOC3d3ZDoJDobBQTknxiBcxhiAHal/Pbh0M\n3d27R4Vd9DvO5DLp03vMrBA4B/h6/F8IIZjZCuDCMXa7ELhhxH/3AW+KjjkXTRN6IOeYnWb2WLTv\n7cAFQHss+CNWAAE4H/jlYWTLcSYOM4mqadMObr9kUqsuTZ8+dpziYgm+2ft50zBke8APhtpa9b6O\nZObMgzvOaMyZc/jHmEiWLYOjxbkdHpZzAxKGEz1VZ3hYPestLRLYU6fKsRuLuBc6diQGBpTmwsI9\n097fLyeptVWO5Re+ADffLBFdVJR1/pqb5Vhu2ybROn26pq+df74cwERCojjXoS0s1Gc8CtPbq2PF\nzyt1diofp56aXb0slcpOX0smdcxnn9VxcsPAQNbJKi/PftbWZh0w3HgzAAALqklEQVT2VEpxN26U\nEzY4uGcvfGyjoiK90yVOU1/f3uXb2ZkdbcodnYpDPKUvPmYcYsd3eBj++Ec499y9nQrHcSaNSRf9\nQB1QgHrhc9kOzB9jn+ljxI/VyzQk3vcVZzrQkrsxhJA2s7acOI7jOMcfyeS+R3Um4vzxMsIHQu4o\nB4w9ylVcLLEaO5U33jj6s0hnnLH/cxYUqNd9vB9mPxAH+1hg2bL9x3EcZ0I5GkT/WBgS7uMZ/3Dj\nFAPccsstNDQ0HETSnMPhxRdf5Ktf/epkJ+O4wm0+8bjNJx63+cTS1NQUf/Xuf8eZBCZ9Tn80vacX\neFsIYXnO/7cCVSGEt4yyzybghhDCjTn/fQl4UwhhsZmdBLwEnB1CeCYnzu/RvP9PmNl7gW+GEKbk\nbC8A+oHLQgh7Te8xs6uAnxxmlh3HcRzneOadIYT/nexEOM7xxqT39IcQhsxsFbCU6Jmq6EHepcCN\nY+y2cpTtr43+J4Swwcy2RXGeiY5Ziebqfy/nGNVmtjhnXv9S1NP/2BjnvQ94J7AROQeO4ziO4xwY\nxWiZ7fsmOR2Oc1wy6T39AGb2DrRk5wfJLtl5GbAghLDDzH4MbAkh/GMU/0LgQbRM593AldH3JTlL\ndn4aLdn5t0ikfwU4HTg9Z8nOe4CpwIfRkp0/REt2/s2Rz7XjOI7jOI7jTAyT3tMPEC2hWYdetjUN\neBq4NISwI4oyCxjOib/SzK4EvhaFdWhqz3M5ca43s1LgB+jlXH8AXhcL/oir0Mu5VqCXc90BXHNk\ncuk4juM4juM4k8NR0dPvOI7jOI7jOM6R48i8T95xHMdxHMdxnKMGF/2O4ziO4ziOk+e46D8IzOxq\nM9tgZn1m9qiZvWKy05QPmNlnzexxM+s0s+1mdqeZzRsRJ2Vm3zOzVjPrMrM7zOwA39zj7I+oDDJm\n9q2c/9zm44yZNZjZf0c27TWzNWa2ZEScL5tZU7T9fjM7ZbLSe6xjZgkz+4qZvRzZc72ZXTdKPLf5\nIWJmrzaz5Wa2NbqH7PVWrv3Z18xqzOwnZrbLzNrN7BYzK5u4XDjO8YGL/gPEzC4HbgC+CCwG1gD3\nRQ8gO4fHq4F/Q0uqvgYoBH5jZiU5cb4D/DXwNuBioAH4+QSnMy+JnNcPoDqdi9t8HDGzauARYAC4\nFFgIfApoz4lzLfBRtJLZeUAPus8UTXiC84PPIFt+BFgAfBr4tJl9NI7gNj9sytDiG1czyostD9C+\n/4uuh6XonnMxWoTDcZxxxB/kPUDM7FHgsRDCNdFvAxqBG0MI109q4vKMyJFqAS4OITwcvWNhB3BF\nCOHOKM584HngghDC45OX2mMbMysHVqFlaz+PXl73Sbf5+GNm/wJcGEK4ZB9xmoBvhBC+Hf2uBLYD\n7wkh3D4xKc0fzOwuYFsI4QM5/90B9IYQ3h39dpuPE2aWAd484kWb+7SvmS0EngXOid+ZY2aXouW4\nZ4UQtk10PhwnX/Ge/gMgemvwOcAD8X9B3tIK4MLJSlceU416jNqi3+eg5WVz7b8W2Izb/3D5HnBX\nCOG3I/4/F7f5ePNG4Ekzuz2axrbazN4fb4zeJD6dPW3eiV4W6DY/NP4ILDWzUwHM7CzgVcA90W+3\n+RHkAO17AdCe85JMUNsa0Oiv4zjjxFGxTv8xQB1QgHonctkOzJ/45OQv0QjKd4CHc967MB0YjBqL\nXLZH25xDwMyuAM5GAn8k03Cbjzdz0YjKDej9IucDN5pZfwjhf5BdA6PfZ9zmh8a/AJXAC2aWRh1d\nnwsh/DTa7jY/shyIfaejkd3dhBDSZtaGl4HjjCsu+g8PY5Q5jM5hcTNwGnDRAcR1+x8iZjYLOVev\nDSEMHcyuuM0PlQR64/fno99rzOx05Aj8zz72c5sfOpejlzBeATyHnNzvmllTCOG/97Gf2/zIciD2\n9TJwnHHGp/ccGK1AGvV+5jKVvXswnEPEzG4CXg/8WQihKWfTNqAomguai9v/0DkHqAdWmdmQmQ0B\nlwDXmNkgsmvKbT6uNKNnInJ5Hjgh+r4NCR2/z4wf1wP/HEL4WQjh2RDCT4BvA5+NtrvNjywHYt9t\n0e/dmFkBUIOXgeOMKy76D4CoJ3QVWlkA2D0NZSmaM+ocJpHgfxPw5yGEzSM2rwKG2dP+85BYWjlh\nicwvVgBnoJ7Ps6LwJOpxjr8P4TYfTx5h7+mA84FNACGEDUgA5dq8Ek0D8vvMoVHK3r3FGaK2z21+\nZDlA+64Eqs1scc6uS5Gz8NgEJdVxjgt8es+B8y3gR2a2Cngc+ARqUG6dzETlA2Z2M3AlsAzoMbO4\nV2hXCKE/hNBpZv8FfMvM2oEu4EbgEV9F5tAIIfSg6Q67MbMeYGcI4fnot9t8fPk28IiZfRa4HQmf\n96PlUmO+A1xnZuuBjcBXgC3ALyc2qXnDXcDnzKwRrRCzBN27b8mJ4zY/DKL19E9BIh1gbvTAdFsI\noZH92DeE8IKZ3Qf8p5l9GChCSzjf5iv3OM744kt2HgRm9hG0zvM0tC7xx0IIT05uqo59omXeRquI\n7w0h/DiKkwK+iZyDFPBr4OoQQsso+zmHgJn9Fng6hPDJ6LfbfJwxs9ejh0tPATYAN4QQfjgizpeA\nv0OrWP0B2Xz9BCc1L4gE6VeAt6ApJE1oTfivhBCGc+J9Cbf5IWFmlwC/Y+97+I9CCO+L4nyJfdg3\neofFTWiFqwxwB3BNCKH3iGfAcY4jXPQ7juM4juM4Tp7jc/odx3Ecx3EcJ89x0e84juM4juM4eY6L\nfsdxHMdxHMfJc1z0O47jOI7jOE6e46LfcRzHcRzHcfIcF/2O4ziO4ziOk+e46Hccx3Ecx3GcPMdF\nv+M4juM4juPkOS76HcdxHMdxHCfPcdHvOI7jOI7jOHmOi37HcY4KzKzOzP7dzDaZWb+ZNZvZr83s\nwmh7xsyWTXY6HcdxHOdYJDnZCXAcx4n4Bbon/Q2wAZgGLAWmTGaiHMdxHCcf8J5+x3EmHTOrAi4C\nrg0hPBRCaAwhPBlC+NcQwq/MbAMQgP+Levxfztn3TWa2ysz6zGy9mX3BzApytmfM7ENmdo+Z9ZrZ\nS2b2tpzthWZ2k5k1Rcd42cyuncj8O47jOM6RxkW/4zhHA91ReLOZFY2y/RWAAe8Bpke/MbOLgB8B\n3wYWAB+M4vzjiP2/DPwMOBP4CfBTM5sfbbsGeANwGTAPeBewcZzy5TiO4zhHBRZCmOw0OI7jYGZv\nAf4TKAVWAw8CPw0h/CnangHeHEJYnrPP/cCKEMK/5vz3TuD6EMLMnP1uDiF8NCfOSmBVCOGjZvZd\n4LQQwmuPeCYdx3EcZ5Lwnn7HcY4KQgh3Ag3AG4F7gUuA1Wb27n3sdhbwBTPrigNyHKaZWXFOvEdH\n7LcSWBh9vxVYbGZrzey7Zubi33Ecx8k7XPQ7jnPUEEIYDCE8EEL4WgjhIiTI/2kfu5QDX0TiPw6L\ngHkhhP79nS4651PAHOA6oBi43cxuP5x8OI7jOM7Rhot+x3GOZp4HyqLvQ0DBiO2rgfkhhJdHhhHx\nLhjl9wvxjxBCdwjhZyGEDwKXA28zs+rxy4bjOI7jTC6+ZKfjOJOOmdWiB21/CDwDdKGHdf8B+L8o\n2kZgqZn9ERgIIXSgB3TvMrNG4A4gQ9TbH0L4fM4p3m5mq4CH0YO6rwDeG53740Az8DTq/X8HsC06\nvuM4juPkBS76Hcc5GuhG8+4/DpwMFAKNwA+Af47ifAq4AfgAsBWYG0L4jZm9AfgC8Gk0GvACcMuI\n438RuAL4HhL4V4QQ1uac+1rgFCANPAG8fvyz6DiO4ziTh6/e4zhOXjPaqj+O4ziOc7zhc/odx3Ec\nx3EcJ89x0e84Tr7jw5mO4zjOcY9P73Ecx3Ecx3GcPMd7+h3HcRzHcRwnz3HR7ziO4ziO4zh5jot+\nx3Ecx3Ecx8lzXPQ7juM4juM4Tp7jot9xHMdxHMdx8hwX/Y7jOI7jOI6T57jodxzHcRzHcZw8x0W/\n4ziO4ziO4+Q5/x/3kDrU/HPz+QAAAABJRU5ErkJggg==\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7feb7dd23050>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "with new_plot(ymin=0.0, ymax=0.011):\n", | |
| " draw_graphs(np.random.normal(size=(100, 1), loc=0.5, scale=0.03),\n", | |
| " [\n", | |
| " SGD(),\n", | |
| " MomentumSGD(),\n", | |
| " Adagrad(),\n", | |
| " Adadelta(),\n", | |
| " RMSProp(),\n", | |
| " Adam()\n", | |
| " ])\n", | |
| " draw_graphs(np.random.normal(size=(100, 1), loc=1.0, scale=0.03),\n", | |
| " [\n", | |
| " SGD(name=None, line='dashed'),\n", | |
| " MomentumSGD(name=None, line='dashed'),\n", | |
| " Adagrad(name=None, line='dashed'),\n", | |
| " Adadelta(name=None, line='dashed'),\n", | |
| " RMSProp(name=None, line='dashed'),\n", | |
| " Adam(name=None, line='dashed')\n", | |
| " ])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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p0iRCaUsUf/7znxk8eDBdu3blzDPP5LzzzqNv375ccMEF4e/hhg0bADj55JMjjq2srOTA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\nfcDy1hVmMRJCqKDyPCgImiDo7SoRBO96j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4MXf5DXnfY6LGFhWzYJK8GZS84M/Ix+nL7x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\nH0saY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B6LyK+LyAX3GqdF5O3T/PyKoiiKMklUICiKsohsuX/fISKFHo9/MyDA9wHH3G1E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\n", 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| "<matplotlib.figure.Figure at 0x7feb7dd2ecd0>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "with new_plot(ymin=-0.001, ymax=0.004):\n", | |
| " draw_graphs(np.random.normal(size=(100, 1), loc=0.2, scale=0.3),\n", | |
| " [\n", | |
| " SGD(),\n", | |
| " MomentumSGD(),\n", | |
| " Adagrad(),\n", | |
| " Adadelta(),\n", | |
| " RMSProp(),\n", | |
| " Adam()\n", | |
| " ])\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 2", | |
| "language": "python", | |
| "name": "python2" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": { | |
| "name": "ipython", | |
| "version": 2 | |
| }, | |
| "file_extension": ".py", | |
| "mimetype": "text/x-python", | |
| "name": "python", | |
| "nbconvert_exporter": "python", | |
| "pygments_lexer": "ipython2", | |
| "version": "2.7.12" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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