{ "cells": [ { "cell_type": "code", "execution_count": 12, "id": "b3e6ce8d", "metadata": { "collapsed": true }, "outputs": [], "source": [ "\n", "from pylab import *\n", "from scipy.ndimage import filters\n", "import os\n", "def imrow(*args,**kw):\n", " gray()\n", " size = kw.get(\"s\",6)\n", " inter = kw.get(\"i\",\"nearest\")\n", " if \"s\" in kw: del kw[\"s\"]\n", " if \"i\" in kw: del kw[\"i\"]\n", " n = len(args)\n", " subplots(1,n,figsize=(n*size,size))\n", " for i,im in enumerate(args):\n", " subplot(1,n,i+1); imshow(im,origin='upper',interpolation=inter,**kw)\n", "def rgb(r,g,b=None):\n", " if b is None: b = zeros(g.shape)\n", " return transpose(array([r,g,b]),[1,2,0])\n", "def N(a): return a/max(amax(a),abs(amin(a)))" ] }, { "cell_type": "markdown", "id": "21e1a288", "metadata": {}, "source": [ "Template Matching\n", "=================\n", "\n", "Let's start with a seemingly simple problem: finding a letter on a page.\n", "We assume that we have a template for the letter, and an image in which\n", "the letter is at exactly the same scale, and in which it is present\n", "in exactly the same font." ] }, { "cell_type": "code", "execution_count": 5, "id": "bed33381", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(29, 29)\n" ] }, { "data": { "image/png": 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jUSSTSXi9XtjtdnR3d6vW9EAggHfeeQfr1q1DKBTCSSedhPPPPx/HHnssEokE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\n6KOP2L17N42NjbS1tSlCLQSyuLiYaDRKa2trmkFbTU2NGi9Eo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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "template_A = mean(imread(\"simple-ocr/template-A.png\"),axis=2)\n", "textimage = mean(imread(\"simple-ocr/small1.png\"),axis=2)\n", "print template_A.shape\n", "imrow(template_A,textimage[58:87,30:59],textimage)" ] }, { "cell_type": "markdown", "id": "0b29d4f2", "metadata": {}, "source": [ "A simple idea for finding the letter in the image is the following.\n", "We slide a window across the image that is the size of the letter.\n", "Within the window, we compute the squared (or absolute) difference\n", "between the letter templat and the image.\n", "The letter is present wherever that distance is small.\n", "To visualize that better, we can also display the inverse\n", "distance image and" ] }, { "cell_type": "code", "execution_count": 18, "id": "9cb58ba4", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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tdqPerN/vRw0wR3H5ggNczs/Po54RVbVSqcSxX5AuishJmYxGI/X7/TjaRtom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\nNw0jEyMZxdnc3Py2cCFKDMObZ8MI4Fmz8FHiPgzkF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zfq9RuC48eP65lnnpEkPfPMM6Z8\njh8/rmeffVYLCwsaGhrS5cuX7eTjhx0hBH3lK19Rf3+/vv71r9vva62v2WzWTp3Ozc3ppZde0uDg\nYM3188SJExoeHtbQ0JCeffZZfeITn9Bvf/vbmuvn9evX7erd2dlZvfjiizpw4EDN9XM9EXX27SkP\nUWfXVj+jzl7nfr7vDOb3gT//+c9h9+7dYefOneHEiRMb+epbji9+8Yuhu7s7pFKp0NvbG37961+H\nXC4XHnzwwbBr165w9OjRkM/n7fM//OEPw86dO0NfX1944YUXPsCWvze88sorIZFIhIGBgXDw4MFw\n8ODB8Pzzz9dcX//1r3+FwcHBMDAwEA4cOBB+9KMfhRBCzfXT49SpU3bSuNb6efXq1TAwMBAGBgbC\nvn37TN/UWj/XG1Fn337yEHV2bfXTI+rsW9/PeG1yRERERERERETEHYd4Y1xERERERERERMQdh2gE\nR0RERERERERE3HGIRnBERERERERERMQdh2gER0RERERERERE3HGIRnBERERERERERMQdh2gER0RE\nRERERERE3HH4f8ff9MEItuHFAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tw,th = template_A.shape\n", "w,h = textimage.shape\n", "ds = zeros((w-tw,h-th))\n", "dw,dh = ds.shape\n", "da = zeros((dw,dh))\n", "for i in range(0,dw):\n", " for j in range(0,dh):\n", " ds[i,j] = sum((template_A-textimage[i:i+tw,j:j+th])**2)\n", " da[i,j] = sum(abs(template_A-textimage[i:i+tw,j:j+th]))\n", "imrow(ds,da)" ] }, { "cell_type": "markdown", "id": "656b5eb4", "metadata": {}, "source": [ "It's a little easier to see what's going on in the negative image.\n", "\n" ] }, { "cell_type": "code", "execution_count": 19, "id": "a5921809", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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U4aKg1EQNh8P4u6SQDWqYqKdl7gFN1IxhxFCsTCYTDnx/fz/mh7k9Pz9fCx4k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F577bV48OBBvPnmmzEej2NraysePnyY5QD379+PT33qU3Hnzp08JYLAq9lsxv7+frKZgMbxeJz1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\nl75jFOjrq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aex8ZQLsL6Up7H+rLmzBoAfZ/KwZ2zgst12Bsb6Zdat/Byvl5mZ0inTt7Iu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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imrow(-ds,-da)" ] }, { "cell_type": "markdown", "id": "fc02e303", "metadata": {}, "source": [ "Because the minimum distances aren't easy to identify, let's display this in a different way." ] }, { "cell_type": "code", "execution_count": 20, "id": "e3a77e3b", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Qgy4kmirtiPGBm2DzPIennnoKvvnNb6561u12h4f1EJ1OB+bn50spp5gvtyuo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\nRERERKw5RBIcERERERERERGx5vD/ABKYGMVV7cYIAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "max1 = filters.maximum_filter(1.0/(5.0+ds),(10,10))\n", "max2 = filters.maximum_filter(1.0/(5.0+da),(10,10))\n", "imrow(max1,max2)" ] }, { "cell_type": "markdown", "id": "d765af9a", "metadata": {}, "source": [ "Statistically, it's more important to look at the distribution of distances." ] }, { "cell_type": "code", "execution_count": 21, "id": "dfa1b90a", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "_=hist(ds.ravel(),bins=100)" ] }, { "cell_type": "markdown", "id": "dcaed6b9", "metadata": {}, "source": [ "From this, we can read off that a threshold of 60 might be pretty good for finding\n", "the locations of these letters.\n", "\n" ] }, { "cell_type": "code", "execution_count": 22, "id": "56c73773", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "imrow(60-clip(ds,0,60))" ] }, { "cell_type": "markdown", "id": "e6af14ed", "metadata": {}, "source": [ "Another way of automatically characterizing a distribution like this is by\n", "mean and variance.\n", "\n" ] }, { "cell_type": "code", "execution_count": 41, "id": "191698ee", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(103.4008935505834, 14.741544406032297)" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mean(ds),sqrt(var(ds))" ] }, { "cell_type": "markdown", "id": "6cba1755", "metadata": {}, "source": [ "Outliers in are pixel values that are \"far from\" the mean,\n", "where \"far\" is defined in terms of the variance.\n", "(Like \"IQ\")" ] }, { "cell_type": "code", "execution_count": 73, "id": "e305e85a", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "_=hist(((ds-mean(ds))/sqrt(var(ds))).ravel(),bins=100)" ] }, { "cell_type": "markdown", "id": "230303cb", "metadata": {}, "source": [ "It is much easier to pick thresholds and compare the results of different template matches\n", "in this kind of normalized histogram." ] }, { "cell_type": "markdown", "id": "861a30f2", "metadata": {}, "source": [ "Computation via Convolution\n", "===========================\n", "\n", "It turns out that the entire operation above can be expressed in terms\n", "of the convolution. \n", "\n", "Consider the distance computation and expand the square:\n", "\n", "$d_{ij}^2 = \\sum (t_{uv} - I_{i+u,j+v})^2$\n", "$ = \\sum t_{uv}^2 - 2 \\sum t_{uv} I_{i+u,j+v} + I_{i+u,j+v}^2 $\n", "\n", "Now it is easy to see that the individual terms can be written as\n", "follows:\n", "\n", "$ d = ||t||^2 - 2 I * \\hat{t} + I * b $\n", "\n", "Here, $\\hat{t}$ is the flipped version of the template $t$, and\n", "$b$ is a box of the same size as the template.\n", "\n", "The operation $I * \\hat{t}$ is called the *cross correlation* between\n", "the template $t$ and the image $I$." ] }, { "cell_type": "code", "execution_count": 27, "id": "22acd3e7", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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QDRAqFN6RhgCLncvlQraRO3+BC1EKnuf1RJ5min0HfywWC3U6nbAB+fyzM5+R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S1BLLbSgAg5hRlENmFbkbMyuKPulGyHMyjOQODAyyweB3aIzztr5c86OGMvC3Np4gQ9ReZhfV2m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\n7eGHHw6//e1vl6+hH0GGhobC9ddfHyYmJlqmf4uLi2FwcDCsXbs2PP744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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "t2 = sum(template_A**2)\n", "cc = filters.convolve(textimage,template_A[::-1,::-1])\n", "I2 = filters.convolve(textimage,ones(template_A.shape))\n", "out = t2-2*cc+I2\n", "imrow(ds,out)" ] }, { "cell_type": "markdown", "id": "0b85d96e", "metadata": {}, "source": [ "As you can see, up to boundary conditions, the results are the same.\n", "\n", "Writing the template matching operation in terms of the convolution lets\n", "us apply all the computational tricks (in particular, the Fourier transform)\n", "to this problem." ] }, { "cell_type": "markdown", "id": "331902cf", "metadata": {}, "source": [ "(cross correlation for template matching)\n", "\n", "Many people use cross correlation as if it were a \"template matcher\"\n", "all by itself. It really is not. \n", "\n", "Cross correlation for detection of signals usually assumes zero signals \n", "and templates with an (expected) zero mean. \n", "\n", "In that case, $||t||^2$ and $I*b$ are expected to be close\n", "to zero. If you really know that that is the case for your signals, then\n", "you don't have to bother computing $||t||^2$ and $I*b$. \n", "\n", "But usually, computing all terms is a better choice." ] }, { "cell_type": "markdown", "id": "7103eab8", "metadata": {}, "source": [ "Normalized Cross Correlation\n", "=========" ] }, { "cell_type": "markdown", "id": "2fe0fb29", "metadata": {}, "source": [ "Above, we derived template matching and related it to the convolution (and cross correlation)\n", "by considering the Euclidean distance between a template and the image.\n", "\n", "There is a second way in which we often determine whether two vectors are similar:\n", "we determine whether they are colinear, or, more generally, what the angle between\n", "them is. This is done easily by the dot product:\n", "\n", "$\\cos(\\angle(u,v)) = \\frac{1}{||u||} u \\cdot\\frac{1}{||v||} v $\n", "\n", "As before, we compute the norm of the template directly, but\n", "we compute the norm of all the image patches by convolution,\n", "and the dot product between the template and the image by\n", "convolution as well." ] }, { "cell_type": "code", "execution_count": 28, "id": "03a1ca01", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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W6bP/20uYud7PAUD3Ad5OtmFHqZIgmXFwcKBKpaLBYKCLi4vwG/hiKkTADKxj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\nVJ1OR6urqxqNRkFCsx+bbSaeOg0wZ8zI1qNujZRl9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UdAGGvZM+kgJtMrJUHT1/gfvTka\njXR4eBhbqQBfi4uLuSMfuR9ZK51OJ7IiXJ+77fN9rxAiAGSwjpRlGrrtYQ8vOh8ngdRtxg6dDHmD\n40Ugh+0XxWIxJ0vMFcQSNsDngvZdNsbplUZ1H0YdLClnY90594iuZ+exrpyk9yxF384CgUAQANuL\nfka3Io+QXuhM7L1nFnkwgfXA3zzLMxA8a0pSbo1yefYBfQf3o0MhVtGN6Mp56xpsi273WllSRi6j\nTzwzwMeZ+2MbwFB+lKpnTPsRtU5SOHmQ4k50KG1Ls0QZR9//zjrHsXRs5sFBHyOeT7DIt0swhvgQ\n4NmFhYs6Gcw59i91fGkrGJe+EAxgLNz3mrcOUvKWK9UVHhzAPjGeyCJ6mIs5IsjpWc3o0XRM6AeE\nrGd9IK+u95AfCFba5cdQEhjwwLKkXAaxpPBFkBnWFnPsGRmMkbdr3tim1zzywH/f63pHCASqQwPk\nWJDsScHZoooo6Y1eDZooEGQBjn2r1YqUSU8bZ0+jpFCwRL5ms4v0XNggFsDp6amazaYkRaQAIMnE\nE1FHMbNY/EqNg5Qd8cUpFAgILJdXlp5MsiN7/AQIogywcOwzJ0q/trYW9QuoTJ+mL9FeBJGUVYDw\nysqKNjY24txz9vouLy/HkSd+XAxjzTOoUQCztrq6GvMMGYAzTpoUQIQj5DCAHGdCuz0lCyKn2WzG\n66TzAfIWFxej2CRjRnpVq9UKQoB6AJxigTw6w8x4MabuYEmZsnOW1FNFL7suW7T+OixysVhUs9nM\nGTcUImmyHt1kbmq1WuxVdAMmKeaMefKxxWh4P7kgCFjLpBM7CMaRcDKM1EscWeqX8D5RcT/qkb7x\nw7pDqXq63zxg8fsru1izGCZkiGgtUUUypaQs7ZN99551AxkF4Qq5gJydnJzo8PAwgCpOydHRUTiz\nHv1ycoh6LBBVREZ5j+0OaRYKpB56xy+eRVsx/jhjkKeetQbQw7HluRC3jA/kte9jR9eTOebRQbZR\nOZj3NQcRTASZyLq/JinXJu5HnQmyscgkA+QwD7RDUkT+yQDDuaW4YepkOPHBPmNSTylOBeHNEZ0A\nSmSEuhFkQaDDGAtIBNrhegu97oDW6y2kBII7A9LdOo3XHJRBuJI5hzxBeFOnyLMNcex8DtDfAFwI\nMHe6wBvUgErTWxkb2giZzLzxOrKI/mRNIeuQfOzP7XQ6un37dmS78H3sCFE031M9b/vCZdc8YMtY\nPcwEAlgszf6DEJXy2xawd+geX4dORHJP/sdWur7hXsgpwSZfGx6JdxxzdHSUC7RJWfaBOzYedJt3\nOYZ2Z5jsK0lBfmCvuF8akHPHGT3FGPEc1gE2CzLNHTR3ZrE7jB/ZoB6IQ0e5U+/f5TXX6x68oT8+\nd04ksH6xIT5W2GHG28fP5QuCHBLJyQfGjzFxgtPJFXdk0aH0Hzznc+2BL89MSeXfM178dfrk883z\nsC9OYDA/LgfpmGAvHctjW9IgMIE1is67DPvWGx9H355AUBMZ9R9fH/QHmT0+Ptbh4WGQR07mpX3y\ntvo1b6zvdz2oLn5HCARP73Hm2qNEvt8PY4rTyyJg4v0zkAfsQeQZGGIEhImCuIDQIBJHoUJIB6IG\nnuLlzBPO4b2Ydp9I7uWV+YmwAQ4QPhYufeRZ/OY1CBPAbpp6yvcZS0/R8rFCwUkKR9AdP0nhSEMK\n0F4HVO7koWQA5CietA/O7OEgACZ5nhNPvtALhezYOQe3pKySTss48UMqGBFSFAXn07L/ibb7NgTG\nA8Pq8z9vvC+TDT5/2ZUSCABlinvRX5QW4+DpXA5KIXloM4qMOfAIQarEU1mW8gQCcoNMejEwnAJI\nI4glFCJtoH3Iz9raWjhErG1fixCCku4ZCfPxnMfGPmyX61AncaUsLc6dXNaqpHDQPJ3Ps8HSteDf\nwbB7dIytAKSnptElB3XMOdlovvcTuUD+0Z2XzTd98ugaOhBZ5T2P1KROM6QJ98TZJK3fZZzxZUzT\n9U2bGTs+Q9QF5w0d6BFvjyhiQ2iz6yyACjqfuYbU5TPebo/8+dY931vsURV3QPgOAI1xd+LdHRUc\nIy/o6HqdOaWvjD2YAsDuUVnG1h2bB7kc3NJOB220JQWeafQLufZ15ECSeU5lwvvr8wi54s/wqJSn\nDTP2OI7cK50rnCCwBA4SNjwl9+6nax8EjPp8PIwkgsu0B0fcNrvjhIzwHlgvvaf/9uc4GZA6Zq47\n5kWBXQdLWSTYAxjubDspkLbnXuPA8xzz0SZ0mt/LnTd3xmmP7213eeN+6ZaK+13uyHGxxiXlHHMn\ntPnb2+5zzG/vQ6qnUnKBsUij5qnPkfbZSaV0vHyM0PveL/+839dJVw9QpNHzy/Tkg1zznpte8/o+\nr61ufzx747LvzmtLOp88w19jvP3nMnsxT249Kyb1P9/K+N1rXFzWHkQXv2MEgi9+wBX7/afTqdbW\n1sLZh2V3UOnKFGVYLBZjbydRVcAfhV5I2wZUcLnBnc2y/Sfr6+vhYKMMMZy+r5H3Jd0lTCwWPsvl\n2y1ccD01kxQiwBGOlzOZgAZOKkDoqOxJuq+DYPqbLrwUHOHMEf1iDth/XihkJzkQxZPy1cth0Pke\n7DdtwHEABOMcOzlDxgNjwLjSZtrroIrxJKtieXk5IjlEERk/Mjlw9in0SDuZAzeqgFYAuFeWpS84\n605oed/udV2mpHmNqJs7cC677nSkBp00VJyBeYSP3/MyReKve3ogBJnv34SMYo4gtpAN5AtZB/AX\ni8XIROF9xpB14M4ujuP9lOrvSQRFZhfEEefRk1KJDiHV04spFYvFOAkBsIC+YS2hm7n/bDaLteE1\nQQqFQkS1Of2F9QPjD8HBNZvNItrD+l9aWlKz2YyMLBx76fLIJ+vIiw7ihNFf9BZZCOPxODIo0OML\nCwtRzInx8NTUdCzQG05gsE6kLM0XIgMbg8OITpHye23JTGC9SVmauZ82RB0ZJ/RdDzqpPZ1Oc4SM\nk9SSgiTxMWZcmBuPhHM/6kR4O/3oT7JAPKKD7vLtN+7css0C28LxiDhZgFnX4+mVAkiPjjpR7BlX\n/h56yKNTAGlJuRMkmE/Xi066O55wzLSyspIbd9avFztDt5KqTrq2r1Nfi4wJJ0ZAHJZKpSDfGVuP\nbM5z/PxKbdm9dO/DqJNdByA7zAXEOWShB4bQFRC5ji/QLWkQwaO8yIjbS5w8d25cxqW7Ma7XDuA5\nkK/g/dRZ4nI9nAZaeA7YiaCDH5VHe/1eYDbvr5OuPjaOdXy9pWQL90+zMjwC7ySj+yuMn4+5YzNf\nH+gPD5Q5VvcxdmfUnfLU1tFGvpeSB/SbcUvv4dkeTjim0ff0PYJHkJh+6kPadsZ03uWv+7x4O33s\nfGvCPB3qON4Do+lYpTLi90rXBvPLZ8C/Ps7014kUv7+Tg9zfawxxH9oMpvL37uVfzCOLLiOoHgQf\nvyMEgkfw3SknBXQ6ncbAoDAxVgggCgVQ5440e5IosISglMvlABmz2SyK+sGe4pA7G0UKLxM8mUxi\nOwApMBynJ10eocXJ8UgpAjSZTGLflJSvrupKFWVJ/9jHCGghcoRQEp3z40K4h4MD7uFKjf02/E/R\nPcbdz4pGsUvZWdtEijgWjPc5NQLQ5IDX57BYLAaBBNgFBLty9bQowDXtZyydlEFmqLVwdHQUqW2M\nLfuBcW65D/0DjAKCWYhEzVymiMCnYD81wPe7+CwKyI2BK0PahMwxx2k6nQMLIoIOylO29H5ssTPv\nfD/dX8gY+5wgF76/eWlpKdYCbXTAzPen02nsV0PJzlOc91KCDzuJ4IWE2CI0m83iODn2QqK7yMjx\ndE8KwKEHIKPcEAM0fJ7QV9yfZyCPOMB+LGjKjgNYkFHWG06pF4Kdt+YAuulxpSsrK2o2m3EcYLlc\nDgDkBANkY7PZ1Pr6elTmlxRbGCBieDbZbcgx6xTw4NsmPCuOdYUNgViFdGWcWTsOZtCdrDn0n5QV\n3gKYQIJIWXpmqr+wUeh6B8gerXYnhzll3CHD0/R3t2PoCwgEZIux8r2qZKGgb7Gv6EZvh9tplyku\n/xtH27dzeZYTzhzzQLaa12VgzGgDJIEHMXgGwDCNonIx1qurq7noLLKf1oZhu8d0Oo2tIswL+p1A\ngQdk0LHodbaBcnSqZ72ka+syIsHfe9h1r1/MKesTu4hs+7YT7LdnEvEZKZ+xxPqVMn3Ad3iu6yHu\nJeWLIDoxP+9yB4/v0BeySP3e82Tb11lq9zkGkNNFwOoplvKtvmmtLx9Ld5bTYAm2xTMnUgc07Qv6\nirF3AobPubyj87B37nxzTyfM3VfyufTXnOTgWe6gui+UYjp3mL3PvkWKdZ6OkV98DsyHHwMeT8fS\niQ9+LiMRfFx8vlyW0iCdExyXkV/oWyeYfDzul9nDGvIgsBOByEs6hu70p2ODPLlMOhlFmyHoXR69\nXZeRLWlf0utBfZN3hECAQfVGYtwYfAeMKAtPv4MEoHYBA+uZARhXFyRPz+RkBpxhKZ+O4pF6Z4W8\nEKOUpczeKwUK4MczZrNsfyZAk32LgCF+3GlnjyV7YDH+Dj7oH+8zZimIxuGFUEDB4Oi58fFIXrFY\nzEVNqAEAwQNIkS6KYxUKhaj34KSIK5F+v5/bN0cbMJbONjOvRPgwCMy/p1u5EnBA5O1lXFAAHtVh\nTDxKTtSez7CgAZHIhxNlKICU4UYe/Pe8i2czLvSV+eIz/nnf1jAvJdzlgHl1gMEz3bBdBvh4noMQ\njLYf/8UPoJR1TkEnvkukkrXuzCzzifxCIPl2mAfZxsD1MANZ6siwzxrnEVnBqZey01sYZx9/1hZZ\nJThQAAcHVOgAMh8AT16MEV2AM+1Fd2kXska7PGvK0/I9IyUFV5Cga2troXelbGtHqVQKZw6yYDab\nRWTFCV4cYrJ/IEHpGzoBgsN1q4M3d4CXlpZifyfOspTfKpJG23BAnLhZXMxq4jjocvKG+yIPABMH\npmmml6QgsrEL7uDwfAd5zL9nLHl6JhlInjnitojPuWOATnECmjaRgSZlWU1+H4/szdPBThg5AeAY\ngXs4webkCOORZiryOic/4ciTmZhGFrkgdZgPdL2UTx/nGZADZCIQkEijWoy7O1CsF3eUmCcnGOaR\nBg+iVx9W3euXr1O2hxJY82NzfV75jqeHS1m2H2Skrz/Xe9zD1xbrHX3jeiElG9ypcZ3CRTud9HDn\n1DEMYwCO8n6kNh0S0TN85o0NJ8tgnzxgh953XeHrjHvQFsd980gB199OfvhY8+OBEw+y+Hj6eDAW\n9DNtpzvU6APvp3/GP5s646lT7470vDn19e461HVK6n+RWeb6KiUPvG+p7vPxTfvh2/GQ1XlEk+NI\nv4fLmAdiPUMndfr5LgHZNBMGGfY5TUm8tJ/eR/9Mql99vfn65vOX2Q6/0r68VV38jhAIGHwfJARe\nyp8AQAf5jEdT3UlAWD09kd/cx1NsXfH6xHvk5bJr3qSkfZp3uRFI75HezxWVs6e+2Bx40ncEljal\nqWgpgMZB4Hv8zANttNPTPx2AOsB3IsQBh5+162wqBIsbGECOK2IHLDzPZcafLWXAlOe4c+uy48bM\nlZvPjSvYyxQSz0AeUmc6HcsHueZ9zhW2K0J/32UoJQHmgeX7KfTL2uYEyYPeE4PO/DqIoP1OuqVt\nSOXY25Ma+d9fl1+khErKkQUOZmezWQBRL0yLw+iZQqSt4rASCSXDJCWocFzcgeFI1TSqlRIF6AtP\nreczs9ksagHgKPnV6XRiGwJV6l12UkKD9exRfDLPXI9JmcNJzRVAIGQqdgj9BcnAdyERIFnI8kjl\nHGCUEixk5LjtS8Ej7Uc/00bPDmJMHRBTXI2tYGyB8Ww4B+eMm5Mc1JxBDrBDXK7TkUEuJyqdrHCA\ndXaWnVBEcUKIZojwfr+vnZ2d2A6Vjg9Vusm8I418Op3mjjd1545xYk7IgmHemAdky7EGGQkQS9Sn\nYX1hrxzweuZjSqI7HsHmsr74PwW73IP5h2yi7fTZi3SiNyTlCqRyuZOKDDi+SMneh5VMSB0Lz+Zj\njJABH0MpIxOdEPLghtcaYs1wpWSClGU9uDPqVzpX6HGP2NMnKctw9DUuXchNr9eLrTVsYXOZA78S\nEIKA9HGYh9W9TdgkHyvHzY5f3EFkHRDAkDKy1C/HNLQpJRn8Sp1PzyRJnUNf0z4uPmeQ8E6i+hg4\nBnM9x/c9y4Dv+XNoB2OdkgepfvP3/BQlcEKKz7vdbmxjdltTKGQ1bPi++xNOAiD/fpIF/gPznGIA\n5MsJdNdR9JvxwYZ4tjZzxRZvJ1dSXOz3csxFW1w2vK0upy5TrGfPQOA+5+fncZpReh/Xu4w5vx90\n+y/XO0IgeGQBo+VVfkmnBlgyWLB1AKezs7M4HcEHHqUDKHRDmoJfFpyn1KeAJGXYXUm7Mk2dLVem\nAB4pSy1JGSe/FxkXVGdNIwbeV9pK2rwDaoSe57gg0m/AKeCc1P2U1eR76dguLi7GGbYu0IBvvgPg\ndKVJX9mW4W3kM27YAHIoBJ8LKTNWvpCcRCkWi7lj3lJmnAXqYJwxZmExV5el9DEHHm1y1tWdaZeB\neYYplTt3cPjtkQHag/wwJ57K7QSQO1y+dnzMXP5TFtTb5p9zEOGy5G3jfSf7GGNXik7COMBI2Xo3\nJp499LCC0ge5MNIYeraReXTXncJCoRBZUTgZ7G9kzjzV251Jnwf0g79Pe4i+stbRC643kEXWqGef\npFECZMcdTj9xwbc4AMI4Aoq102w2wxkEEECuuN72OgrFYjFOA0odan7cgXaSj6yIhYWL86PpMw4c\n20a4v1fkR596ijnj7ZXXU5DKeB0fH8f96BfjSfYExWax04wbQD8lVNEJnkFWqVRy61VS2DzGiSi3\n39OjQgBA2kjhRXRIr9eLo0bROcfHx9rd3Y1jYdEV6GzGyo8CdvBNn8hkYxx8fiSpWq2G/uXoTgf3\nnE5EO0ejkWaz7NQabCdEQbVajXogpVIptmQWCtk2RXcmmUMcSMgJTgPxkxkmk0kc95sSDI6HGK/T\n09PAYjx7ZWVF/X4/t+9XUhAj5XI5spNoEzVGONL0Yb3cIZjNZrmq/Gn6v8+F22/HXlKWpePRVOTX\nHRzk222mpLv0aUpyOh5w0spfnxc0oY1OQqUOkOMm7g2Zit5IiQ//nqS78DY2yf0OPp86xGBnx4iQ\nEemWCMbWn+F9T/Ee907HNO0Dc4M99bFx8oAaMcwvdm5e31IfRsqcZvdV3C6Br1N87ERV6vgij5zs\n4hnkjuHIHvXvMtYuV+kaSOeKz1HXx22NlM8Yc0LKt2ctLCxEBrVjnlKplCOOJpNJHC9MW6lLxzMY\na9qHXkU2PDvY/V7vE3NDX30uubcTIB4EWVhYuCtg44SR1zvzDPZqtaparfbAuvgdIRC4nF1jgJ1J\nB6igXDG2gBUpKyqIgDuw8CM50glioTvL7sqXReFOCYvKF2vKhLoicSYs/Ywzp15IjO0Y7iQB9hxs\nAxAAwq6QcGBTgqJQKITQIICACRzMs7OzXAquK2gAMClXjAOGACDJAnZw7bUCpHz6De1yY8EcSpkR\nAQDTNo6B9P2p9NlTz5gD3if6gzFhPLxwkZQRXcyDK0qff8aG9FMfcwpPccoDzotnTHClzq7LjKcD\nA+Bw1ngmytFJGCdoMIDIyerqatwvNf7uDLmhdpY1dQg9M8Qv5NUZUylfe4H2AsRRbKQf40T683iW\nR7DdqKbGn3lhrC9T2g/TBXj3on4OapAZ5BlngK0ORErRHX4EL3PnOtsJ3JTw8WfwOSlfXCs1bIBe\nN9pO8NFGgIGDQvqInKFTTk9PY9sA28iwLV4A0Vl86hpAFkj59EMi0sij60ou3/rlwIejbYnCuKMh\nZVEsjjzlNAh3wjmCV1LoUI9S+tp1MpK59aMdSUN1YOgRRr8335Ey/cZccS8ntamh43qe+6Tp/xA6\nvo2Bgr6VSiWnI/gMY4HNhSTAsXYcgV1FNtyGOWhNj0mTFNsQOAEIEiPd1pHqI+TE7Rrv029++x5v\nd1acLGfc+JzrQyfdnOhx+Xb59QwJ8Ad1URgn9qg78ZsCVT/lxwmgh5lAYHxTQp/LbbqTqRBEHlxy\nYgFc4vPLbyc6pbtT0XmGE0kpQXAv/DKZTHK62yO5KbHg/UN+/Ehe8AV2wteRkxk+LqlTSx9crh3D\nOX70cQBnMaaeKZviICfgnJhxve9RXhzJ1DH0+eE1v5frG8byMhImxdo+V6nN5DNOrvPaPMLF16yP\nB7gBxxzdVygUos/oBJ4HpnW76BhNUk53uvy575NG9V3+fFuO98dJqBRb+tzPG18wBNja10G67ty+\n+9j7GPLb58WfhQzTLwIC/I2v7H6e+wWedeA1ihxXvKsJBITTF8H5eVZMD0PaaDTCaZ7NLs7RJC3V\niQGvjo+SSVlULt+/jqJKI6600Q2tK2gEAWdfyk4r4PM8W8oqXvuWAy925ITHcDiMPpBi6sqK4pAw\nea44EZQ0VciFwoGUCxELy89/5+hGHAKuyWQSUUfG0FNyiOB5JMnbwkJmnHxRMvcsADdg6di6AXGl\n4cDdyR4WEIDYGWSAG+PB6/wgc25kaAf3Pju7OFaOOWIRQs5Q8I9nu+Jx+aXt7KcuFArhXDh7y/NJ\n8XVjgqEj+sXedJS2KyXm1JXpbJaln7nCnKcg07anxArGIq0Bglwge+7we/sA6cgW38HosA6RG2QX\nwMJ64J4eIXDSysf13XY999xz+uEPf6itrS298sorkqSvfvWr+va3v63NzU1J0te+9jV94hOfkCR9\n/etf13e/+12VSiV985vf1Mc//vG597127VpkcbFu3RkHoEoZoQbYRXZZ40QbHDi4TDAvEFe83+12\n4zSFYrGYO2eZ+7B2WQfofa93QAQCwEc70JFO3GFspcwZ47lnZ2cql8saDAY6OTlRu93ORZlpO+u2\nXC5rfX1djUYj9zwynaj/QhQD4MhvioOR9eBFWCHD6vW6Go2Gzs7O1O/3I2JdKpVyp9dA2oxGo9yx\nmNVqNRxOJ2NwmtGF6DhqYjAenvpcLpeD1MA55nQH5lpSRLWJojHubr9ns1kQL+hxinfyPb4L0Y2M\nYZeQB8/wcnLHiSmKABJtAnzhdFEg8Pw8OzHJTx8oFi8y2DjZQVIOXKKn2OYBUTEcDtXv93O2UlL0\nCXtKHRJOnWHMncxeWlpSo9EIcoLsPcbVsY+TOefn53GUNfPD55FFz+ZAXzu5x3hOp9PIlECmvHaD\nn7/uzgh6GrwCUVStVu+yre/G6+3Sw/V6PQgE7F1aAyRNdec1soDQ2V7Dgns6rnBs5fPJVh13PJGd\nlPRFdrifB0Qcg3kACVzljhQ23x0mr5HiWVNkvUDMpfKNPuPYcZ7tOg196c69lG2RI5DldcO8rcg5\nbeOzLuvobb7n4wQOcyKHe7OWHMdhZ8AytInvrK6uhn5k/lLChO951gUYj/457nbC0f2MdP7d2ccR\n9fvRN3Qg93FywfU3+lNS+CfpqW5LS0vRZ7BdmvnGGHqQGd8MPAzedAxMEITvMddeuBM9icxw6hNB\nCg84pLLjpPp0Os2dYuTj4z4m+jDF4fTL9TLPceKO79JeJ3mQeWTEMTjycb/rHSEQME4e1ZDyqaa+\nRxAwiIF0ZShlTJ8fE4KhAjA4E3N0dCQpc0xc4AFsnhriCx4VSgwAACAASURBVNYVJW3hxyNLfk/+\n95MTiCyxl9SjRzhEjIU/bzAY3JUBwGJjwlEUKA5vC4vNnWVPWWTsR6OR+v1+gE/a6YqGz7siIxvh\n+PhYw+EwhNEVLHON4Hv//Ngzj9i4cmbuASDu6GKIMJzc15/HwoPhRg4xxPTV59fHme+w9QO58TlI\nySbAOcQK7SGig4FANlGEjDPEGYUxcZ4AqR55wugw/4BxIkF+pCcXQMSjTBB2TrKkmST0ERDuStnH\ng89hhBg3N0a8n7bLSTIvLuZg10kAng8jjE5wwok54nvOtr8br89+9rP6whe+oM985jPxWqFQ0PPP\nP6/nn38+99nXXntNL7zwgl577TVtb2/rYx/7mF5//fUc082FQXbiEf2CofdsjsFgEGvaj6JjPhz8\nSNkpKcPhUFIeKPE/ZJWDRyf10mrarBEcWfQODuF4PM5ts5hOp1F81tcxcofOOTs7C1uxvLwcdRtG\no1EQDDjobmCJ/vtJBchwtVrV1taWisWiBoNBZDdwQo7PQ6FQiLZ7lG5paUmtVkv1ej3GfDabhZ6F\nXAfoQAqgm5kbn1/AJjaoWCyG8+7bBKvVaoB1KQNNrVZLKysrOjo60u7ubuhQLgr+OhmOzgLEdTqd\nyFyjXwB8JzOQPyk7McJBHHNJuyGnFxYWNBqN1O12g7iGZOI5vV5PvV5P0oX9o32MA2BsNpsFOUSg\nA4KGDBTa4NsJ+OEe2EfaD3kwGo1i+5DbRTDAycmJarVazAWZFg7ynNh12fK5GwwGUbCYPtBW5ClN\n40XGcJzAB6wfZImjOAuFQhRCJUOBtey21kH+u5044Hq79DBYwMkWxy04duAWnBR3drjSAIqUOSip\nQ+bkgJSlVqc/ng3jNpM1406/Y2PWJ7bBnVLHEk5gkZXIOvD6I+gfD0K4zGOXPCMV248OPTo60mAw\nCCzmvsG8wCLjB67EZrquok/YEcaEMXA8SF9cF0Bw4Gw7gYEthPhkvNDPjUZDkrS3t6der5cbD+yi\nB2bTTFSy7pgLdz59yzBj4/LkWA58jl/gwQNsD3qF76dkhWcHM/esBZcl+uaBJc+cYvwcd9IWd9IZ\nS9fNTsI6ccK6g5CjndhQ12GOYX2Nuy7udrvq9/uBaTzo6H6lk12OOdyPdsLCiQv0hc8FcgtB7MQe\nbeO6n15+x7YwpIwYBp+BYUAQXimfZuKsrEcapTzTImVOiC9IAJgXp3Imh4lA4N2ws5gQLtpGWxDy\nVLGhUGiHO10e1eMzKUPoDNk8AU1ZUB8Ld+74G8XkqaQoT5xybx/OmysSgJ4DAQcynkrnY4vi9nRl\nJz0k5ZwA3kuNo8uJk0A41SgF+kH2hRtDH8/pdJrbz8r3PeLowND3EjtLzzPZ77m6upobJ5QakT6y\nMlB8zEnK/DtJ4vLn0XR/j/8dkHvk1cGMp0U5UeaMpd83JQdc7tLLP5sqWnfmXLnTVsbCx532czE/\nKEg/atDrLSDHyI2PwbsZxH70ox/Vm2++edfr89r84osv6tlnn9Xi4qKeeOIJPfnkk3rppZf0kY98\n5K7PDofDAEM406R1p07zwkJ2RC5Ax7ceOdtOhBgiyqMgjDuAwIkp2uERCeZ8PB5rMBjEsavMcaVS\nCX0J0UbkHCdwPB5rPB6Hk4/BHw6HQRRI2QkOLufs84Z4pZ0+B0Sh6BdOFoQEP5KiaJiTzYyb60lJ\n4UQcHx9HxIZtEjzH96H71ggn5RyAcL/T01M1Go0Yi5TgpG/uAPPD3n+yDNCDOOmj0ShAeqFQUKPR\nCDJ6Op2q3W6HvuP5TuzhzErK7R1FDnBcILOw1ehqwLKPk9tS9L6TEVJWVNRJJtrksoTMpP3qdrs5\nQOdkGgECz8ZAjsAi5XI5F7QgM4Hvp5frwHkR/PR9+oLMQAQ4+cUcsxZpD3qVApOsEfoqKZwgt3XY\nEtZjvV4P/eF7/R2zvFuvt0sPs46RZXQlcuwOPPrWTyRzHOO2FuIGfZgS7txTunuLgmMsnDaejzPF\n+uM5rF3H2Y7BWAOzWXbkLvrEtysUCtkWHcc9Pi6OBXweyACSsmPFkW2392Q3oO+lfPq662bH0K7r\n0vc9EAE54/flb8ebOKO+FZcxArughxkT+n90dBT4kb76HOK040QWi1lxZL6DTXbCNm0r4+aBKSew\nvM/0CXwvKcbKfRq/v8slY8/WHGwDcu143/U6bQffzTvdgnkGgzhWdrLdn8P3wUa+7Z3L7Tvy86C6\n2LMOHX+nPiRy4H4t8+fyz3ewM8yt38exGEQNazlt672ud4RAwEn2zpLGKCnYPC/0QFaAC+1sNouU\nIF5HuThbkzJn7lwiNCwsmH3ADcaWwWXxeQTeU13oGwWRECwiMLA/gAzAKGDbz+bGiOPco2i4J+8z\nbm7IfVGkgpiyrR6V9ZR5Ig8IH0BuaWkpx2rSD6IjGC6v2F4ul1Uul3NgFwXrrHGxWIyIMfOYGjUp\nU/C+wCVFNIgsAo8IMUarq6tRBAUwCrOIPBFtSY0B8uhEEc8li4SoJXNBm5BhlCxKkq0ikCoOaJ3g\nwehKCnni+DnGin5gILz9Li9pzQieRf+Zh1QpQqKwJlwpM773u9J7OnHl64rPpvtmGQsYa/bfkgaL\nrDLeRMJQzMwt8sRczgPo7/brW9/6lr73ve/pwx/+sL7xjW+o0Wjo9u3bOZD6yCOPaHt7e+73h8Oh\nqtWqqtVqTtdSy+DatWtqNps6OzvT3t6eDg4OYj05qGE9zmYzNRoN1Wo1NZvNXMV2tgb4+pEuovRO\nEHkE3h17T890u3HlypUA2jjHDhKJbkynF1sbqtWqnnjiCS0sLOjmzZvq9Xq5FPEUDA8Gg5AdUvVp\n23Q6jdRtN/xE+VPQ7pFfX0+SolhitVoNQD0YDMKu0a96va719fUgetDlnj3ElgfS3ckyQAdgtzY2\nNvTYY4+Fg8wzce6Gw+Fd59Kfn59H8TvIZqL6EEper4FxWVtb0/Xr18M2HR4ehj5ExwE6Gc+NjQ09\n+uijoR+JqEmZPUKWVlZWNB6PQ36JzHW73VjrbEfwjAQcglqtFt9xrEH6K06+A69KpaL19XU99thj\nOj09VbfbjTEjlZqLWgGLi4vxLBw4+uzZFufn2ZZCd2b8QoenOvh+ABB5IupVq9Ui05D1jS5ut9ta\nXl7W+vq6KpVKZM/Q3kajoePjY9VqNd24cSOyhiBZ2GoxHA5z9hywngYdfhev31QPe1ZoSuKvrKyo\n0WioXq/r/PyiujrOEXKKLnEsh3zW6/XcschgYF87ku6qfQXx5k4VmCKVxaWlJW1sbIRebLfbufc9\n0xf5XF5e1vXr17WwsKDbt29HsI4L7OjOuZRhAghE2sMY8D3WNmQn8oUe9sLdYDvWdblczm0FJjuW\nucJXIDM6xd0+F36yimcROPG+vLyszc1NVavViEqjf5xQTYkNyAZPzwcnEYn3+UIPon8gPD36jR7n\nbzAjdqRUKgUBjA+VBnndD4BEB4vjt3lmoZSvNwFGxxfhPR87iAOXp83NTdXrdW1vb0fWo2dScg/P\nSFhZWVGtVgub7X1xXQzhBDZF5i675hG66fvcB4LHM9rI2KJ/2L+FhYXIRvMsfq+9sbKyovX1dS0t\nLanT6WgwGMS64XnoDQ/a+Zg+yPWOEAhHR0eRVkgqqO8j8U74vlsYIJw+SWHEnDRwRcF+RSkDBQgh\ng+5pM66YpAsACgABRMGeo3hwlp0g6Pf7UdW40WjEnlHa4PtlPIINiEJgWdiuDFCmKCuPhvnlLKk7\n2ZACADwYWPrB4gb4D4fDAEMoFOaNtnhFZ9+TSXvd8RyNRmq32wHaUDA4hiwY0qqcJXQixJWJO4Np\nNgXyBthfXFzU+vp6LiMDWcRg8T3243qlc9/P721iQfLctJo5/Xc236NigPbBYBD98LRfDI3P09LS\nUqTUknbbbDbVarVyc+1MNpkRzqoyR95/T6FivQB4U0bzQa/LokyMG7Ls1Xkd5DOHOJr028fZdchk\nclHhvNvtBlnD+kIZp0b5d+X6/Oc/r6985SuSpC9/+cv64he/qO985ztzP3vZPL300kuxtm/cuKFq\ntXrX3Hi6vhvsFOziNAJicMLR1S7PTlJSZ8WdqTTVH4NarVYlZdEBHDoHa65rcIZoA/qFLQe3b9/O\nEXYOVHgmUW3XF9zPiRNSV3Ggcci5nFyk3/QVO0c0G4eZPjopUqlUQpapq8JcuL5nPUF6M3/IOvIO\n8b28vKzDw8MgAYi2ERmRstTKtJ4DUT6AMwAbUpOMi5OTk4gQeSowbTs7OwvbSQQc2UEWU9LBZRC7\nis3iO3yeZ6b2RVKAdOSH8eQ+jAnf4flOVhIJg4RiDQAEU7voOpZ58618g8FA4/E47pNebnvS1+et\nede/nDSBLnV5dnlnHmi3R3WdVPN1iWwgz2Q7eIowz19ZWdGrr76qn//853e193fh+m3o4U6no9Fo\nlKvbkl5uH32+ed0dQOSJelbzAmroE+YEmfWoOYEE1gryjs7D0fVUfPSn1zXxwJ47XgSWdnd37yKR\nJpNJ4DVwSTqOacYA30txKZ/lGei1FN/wWqVSCd3kWUhOSnjNM7C9rx9fr+BXPptmijBmGxsbKhaL\n6na7oW98rCH2PFh4dnYWW6iYd/Rl6gPQ/vF4HLbU17tnFDHvqV/ltU88cEc/XV+gU5EFHwvsgN+H\n8fAMJp9fZNkzCPyekPncx8cdHO3P8wCk/7gs0Q+2F16WAZ5eD+qEg7XxQYrFYtgoD6whi8gh843c\neSYNbU+xwMrKSvTH5QWssbCwoN3dXXW73QfqwztCIPT7fR0cHAQbj/LzglkMKgCkUCgEQPU02kql\nEo4wEUl37vksQsIgouBWV1dzisUVCpMHc14ulyMyIuWP6/N+nJ9fFAbb2dkJwb969WpuDGgvIM2P\npnHAQZQfwOOAg0UBc8qVOtMsCmdwAdYeYYLZKpUujtjCsHBWOiAGAsUzKUgRJjMBFtWBFhGiX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oBNEDUYcz7uylO43IMGQGDrs7I8iWz00q2+ln5l0eWYDdx3n06CrtRRaZN47KpI2AGYgRHDRO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\nTsqiRzwbSpp1hP15vj3IM7q83S5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Xri1SodqiFqjNRWkXHlkPL01kXbz0+1RUPSzVli7O\nBEJGRkbGMsKOHTv05ptv6u2339bk5KR+/vOfa+/evYvdrHeNvXv36plnnpEkPfPMM9Ho27t3r557\n7jlNTk6qt7dXb775ZqxqvJQQQtCXvvQlbd26VQcPHozf13K/BgYGYqXoixcv6sUXX1R3d3dN90mS\nDh8+rL6+PvX29uq5557TJz/5Sf30pz+t6X5duHBB58+flyRNTEzohRde0Pbt22u6T7WArIeXHrIu\nro0+FVEPSzWoixes2kJGRkZGxpJArRa0LWIR2yIWrl0OhWqLUqA2F6VdPGQ9vLSQdfEMlnqfHEXR\nwyHUni4uhRDCwtEVGRkZGRkZGRkZGRkZGRkZtYi8hSEjIyMjIyMjIyMjIyMjI2NeZAIhIyMjIyMj\nIyMjIyMjIyNjXmQCISMjIyMjIyMjIyMjIyMjY15kAiEjIyMjIyMjIyMjIyMjI2NeZAIhIyMjIyMj\nIyMjIyMjIyNjXmQCISMjIyMjIyMjIyMjIyMjY178F6MC+bM8dOKXAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tl = sqrt(sum(template_A**2))\n", "cc = filters.convolve(textimage,template_A[::-1,::-1])\n", "Il = sqrt(filters.convolve(textimage**2,ones(template_A.shape)))\n", "cout = cc/maximum(1e-5,tl*Il)\n", "imrow(ds,cout,cout**8)" ] }, { "cell_type": "markdown", "id": "168d60d2", "metadata": {}, "source": [ "Now, there is one more improvement we can make to this.\n", "As written above, if we replace $u$ by $u+w$ and $v$ by $v+w$ for\n", "$w>>u$ and $w>>v$, then the new vectors will be nearly colinear no\n", "matter what $u$ and $v$ are. \n", "\n", "For cross correlation to work well\n", "in detecting a pattern, we want $u$ and $v$ to have a wide variety\n", "of directions, and to accomplish that, we subtract their means." ] }, { "cell_type": "code", "execution_count": 29, "id": "b7695f78", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ljwS41+vFzJkzsXTpUtTV1cHv96ux3d/fj/b2dvU7icViaixyi3Y8Hlf91Nzc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\npFD8AAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "template_A_centered = template_A-mean(template_A)\n", "textimage_centered = textimage-filters.convolve(textimage,ones(template_A.shape)/sum(ones(template_A.shape)))\n", "imrow(template_A_centered,textimage_centered)" ] }, { "cell_type": "code", "execution_count": 31, "id": "9db608ad", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-0.457507 0.950109\n" ] }, { "data": { "image/png": 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+5Hm9Xi/mvNvtbgBSrVZLnU5H1WpV3W43+ODs7Cz0w/X1dfCrz53PJ+RGIsAH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\no6NDJ06ckCT95z//0Zo1a+LvKq3P7733ng4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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "tl = sqrt(sum(template_A_centered**2))\n", "cc = filters.convolve(textimage_centered,template_A_centered[::-1,::-1])\n", "Il = sqrt(filters.convolve(textimage_centered**2,ones(template_A_centered.shape)))\n", "cout = cc/maximum(1.0,tl*Il)\n", "imrow(ds,cout,cout**2)\n", "print amin(cout),amax(cout)" ] }, { "cell_type": "markdown", "id": "48f82c68", "metadata": {}, "source": [ "There is actually yet another way in which we can express this.\n", "Instead of computing the cross correlation in one step like above, we can\n", "think of this as \"standardizing\" the image, filtering it with a nonlinear\n", "filter that achieves a constant mean and variance across the image.\n" ] }, { "cell_type": "code", "execution_count": 32, "id": "da3cfa63", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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JBAIBCZ6tVitqa2uxceNGuFwujBs3DldeeaUEEq+99hoOHTqEmTNnYuTIkejV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\nAjABrP/4x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gULDDCx39y7lJGRgRNPPBHXX3+9pRpt3LgRp5xyCl588cXDjoTjucicdwAe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GkYu1yuoOhrQ0MDgOHyFAoUOtwUDExnY6nIwoULcf311wc5+RSmTMszl8BoRUyBRn7SBg2F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\nlEqSC0dDS6eBUfHy+Wb0TiNP2qBkOmtPT08Qw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Vu3SsfZ0T6nEydOGFOmTDGmTJliFBYW\nikwY7fMaDWTJ4guHLDkcoAt9Tma6WGSxJYfPH1ly+MIiSxYH6EKfk6aLRQ4bxuiTxTbDMIxzB1dY\nZJFFFllkkUUWWWSRRRZZZJFFo5HOWQmDRRZZZJFFFllkkUUWWWSRRRZZNHrJAhAsssgiiyyyyCKL\nLLLIIossssiif0oWgGCRRRZZZJFFFllkkUUWWWSRRRb9U7IABIssssgiiyyyyCKLLLLIIosssuif\nkgUgWGSRRRZZZJFFFllkkUUWWWSRRf+ULADBIossssgiiyyyyCKLLLLIIoss+qf0fwBXTQ5AtA/R\nkAAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "textimage_standardized = textimage_centered/maximum(1e-5,Il)\n", "imrow(textimage,textimage_centered,textimage_standardized)" ] }, { "cell_type": "markdown", "id": "7c730924", "metadata": {}, "source": [ "We can do the same to the template, but of course \n", "its display doesn't change (since this amounts to just a linear transformation \n", "of the gray values, which the display routines compensate for).\n" ] }, { "cell_type": "code", "execution_count": 33, "id": "05dd7f18", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "template_A_standardized = template_A_centered / sqrt(sum(template_A_centered**2))\n", "imrow(template_A_standardized,s=2)" ] }, { "cell_type": "markdown", "id": "f3cbc3f9", "metadata": {}, "source": [ "In terms of these standardized images, the normalized cross correlation now just requires a convolution with a flipped template.\n" ] }, { "cell_type": "code", "execution_count": 34, "id": "6a77a667", "metadata": { "collapsed": true }, "outputs": [], "source": [ "normalized_cross_correlation = filters.convolve(textimage_standardized,template_A_standardized[::-1,::-1])" ] }, { "cell_type": "code", "execution_count": 35, "id": "1c21bcdc", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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+GZlMBm63W8oII5EILrjgAnR2duL888/HJZdcgm984xvYsmULAOBnP/sZjjnm\nGClL/8tf/oJXX30Vzz33HDZt2oRrr70W3d3dsNvtmDdvHpYtW4bp06fjxhtvxMaNG5HP57F69Wp8\n8YtfxNNPP41AIIBvfetbeOWVV2A2m+WIwKJFi/DNb35TOmiHQiGceeaZuO6663DRRRdhwYIF2Llz\npzj6EydOxB133IFly5bhrLPOQmdnpwgsMysMorRQ6wwCBY4B186dOzF//nzEYjFcd911+MIXvoAv\nf/nL6O7uhsViwbJly9DY2ChHMJYvX45XXnkFK1aswPLly3HDDTcgmUxiz549+PSnP40HHngAM2fO\nxE9/+lO88cYbsunvvvtuPProo1IGdemll+Kb3/wmLrzwQqxfv16cZmajSqXhTtX33nsvjjzySFx4\n4YV48803sXPnTpTLZYwfPx733HMPjjrqKAnOmRVnyaY2jsbsjlaUDGJOPfVU3HvvvTjhhBMwd+5c\n4UGxWMTUqVNx44034t5778UZZ5yBrq4unH/++Whubsaf//xnbNmyBVdccQWi0SgKhQI6OjrwyU9+\nEpdffjm8Xi++973viZN42mmn4e6774bL5cJPfvITPPTQQ9Ko8tOf/jR+/vOfY8mSJQCABx54AOl0\nGqFQCHPmzMHixYtx/vnn44UXXsDll1+OeDwOm82GSZMm4Uc/+hF+/etf409/+hOuuOIKhEIhnHHG\nGVi6dCmOOeYYLFiwAFu3bpUgBADGjx+Pxx57TIxiPB7HF7/4RfzsZz/DWWedhYULF+K5557DCy+8\ngEKhgKuvvho33XQTvv71r+PKK6/ERRddhFgsJsZz6dKlmDp1KhYtWoSVK1cik8nA4XCgvr4ev/rV\nr3DiiSeisbGxopJgwYIF0sCstbUVy5Ytk/2xe/duARV1Vs+Y/aJS1obhYCMGLrpkkEEsAHHqCCbS\n4PGtBgxEkskkQqEQYrFYRZ+DbDaLeDyOaDQq58RZMs83MPDMPfcYAxj2VNCIPasYOEbaEW0QGagA\nwwFjKpVCOBwWu8Jz5QCk8qFQKCAcDssRMjYBJMBIJ4H/5rz4DJ/PJwEpdYnOZHM+Gqhm+T0BD2Mm\n2egA02mmg1EsjnSx57Egjo9OO6tHvF6vBKShUEjefME9kMvlpF8FGyzqbJkRRNX2gU4jnVLORR+T\n070lWHESiURgNg/3iqCM0ZHWwYIuCdYBh34bAsfA+ehqCc6rXC4LGGI2D/eliEQi0l+DjiybiZKP\nrAgEIDK05fmuAAAgAElEQVSbz+flCAKdV81H7g36FqyuoNNus9kENCOQxrd++P1+OBwO6RuQTqdl\nj1CWCMYAw+AqQRTKK/lnzEgTJAIgoBLtdDgcxtDQkMgO+Ux+8O0sPP5A/c0qDV3NU01+uCa6Aa4u\nGdbO+MFGDJarZdVJOtBlgEHdqJMgDodDjr0awSye9aZ+pE7TwRWJ49Dn7jVVC6SNxP2hA0tWbenj\nXgCk1J17m5VolCdj8E4eEAhlsErSgKtxfMYz+9WyzgcSQOl5HuhRAs1nHovWGXANzOuqrH81wWGs\n/ND+LP9tBCuqgUP74oO2UcbnkRi86uo2LRe0Zfpe+rnaFvD/GhDjM3hP7c8Ze3Do8en7ap2p+a5l\nV9siI2+o/3SfEW3PeW/j8zWAov0c4L290fhvAnD6s/2RcW00YK758q+AB8CHBCDoZlO5XA4vvvgi\nFi1ahEmTJiEej6OhoQFLlixBJBLBTTfdhFAohIkTJ6KhoQHLly9Hf3+/ZIjK5XJFGSsdwd7e3gon\nkQqGCHw2m8W7776LgYEBOYpgMpkQCoUAAHV1dSiXy5LZLJfL0k9hcHBQnB06IDpTQ2XOTRUOhxGJ\nREQxDgwMiOGkM0Pno7+/X5y1d955Bz09PXI0wWKxYGBgQO5DRJXGv1AooK+vD93d3cKbrq4u3HTT\nTbj11lvxsY99DD09PRXOH4CK8m4qUt2YRzfvofMci8UQiUQQCoXE0enr6wOAiiwIHQeionRQeS8G\nEMBIEy1unGw2K82snE4n+vr6kMlk0N/fj97eXgCo2GA8OzV9+nQ888wzWLVqlWQ+LBYL3n77bVx9\n9dV49tln35OFBEbOynHc5I12YIGRzcV5Dw4OIp1OY/PmzdIoymQySdO0Bx54ALNmzcIf//hHqQ5g\ncLR7924kEgm4XC68/PLL2LRpE2bMmIFTTjkFwWAQ8XgcwWAQV199NaxWK1auXImHH34Yg4ODUja9\ncuVK3HHHHfjKV76Ca665Bi+//DLeeOMNWavBwUHk83kMDQ3J3jGbzVi7di0uv/xy/OlPf8LcuXNx\nxx134K233kIkEkE8HkexWMSuXbswMDAga1AqlSSDp0ui2YuC633rrbdi7ty56OzsRDQaFSe4XB5+\n7Vc0GpXAfsqUKVixYgWeffZZDA4Oyr4ZHBzED3/4Q6xYsUIcaGaD2SeFgRrXZ+vWrdIbRMs310wr\nTDof3P8HY+aLa8bz5sycsJSfxpRrRaDBiNgzO02Dy6oQBik6a85qAcoEM/g+nw9er1eMI/Wmzmaz\nAosl1wxs6HxS/rTzweoDvacJjHBv6zJr/QpCXuN2u1FXVycOOM/TRiIR0SUMnjU/WdHGXhO6vJ7N\nF/UZShJ5TjnmvCjLHC9Bbt07gDzSZcXcq3w+56WPbZAfdEwY8Opsjg4uuR5s0kjesQqOzhFfgen3\n+6VfBINdyg97JTBbZXR8NTFQZdBNmdTBe7US/mQyKQ06bTYbEomEAJmcBxsXcm9wLnS29GscOXZg\nJPPOzD0BBOotVkPQHhFcoJ2lHWcVAzDcn4b20WQyCR/1Psxms4hEIhLQs4KDulof09RnYo1ZOO7f\ndDotDUPZkIzOMSvRuK6sxKS86Wymln9WNrBiQVc1EpCwWq0Vb3U42IjyUS1Y1xl1rpkxG0pZLJfL\nspe0jaNeJ/BKkE8HZToQZMBOv5A6hrZTJ1l04L03EEEH6rr6hLLA31G+gJFjVrxO6x0GjgRVmQTS\nvyc4QqJ+414lr/U4qwXAmvYGLmj+a3BnX7wwVoQY+9gcyHj2RVqfk6jL3G632BC9vlomDuTZGqjU\nwK9eLyMfuL663xc/17zRoFO1YJe6Q9t6feSBOgUYqVAw8odxnBFc4jx0NZdRBtnPQPNQ+wykvdkz\n7YeSNIhKkJnzoJ/LZ1GW9NHTfa2THrsGEPhcTXpc+wIoPhRtrYWB5120gzh79mx8/vOfx9e+9jWc\neOKJYrjz+TwGBgZEKCiA/L9ujkJB4uJyI1ksFimDZXZh8uTJmDdvHhwOB15++WVcfPHFeOaZZyRL\nFo1GxVgzu8VncAP09vZWZOao2JmpMGbwOHY67bqcjAIRDAbhcrkwbdo0zJ8/HwDwu9/9DnPmzMEd\nd9xRURJIRe90OuVsI8fBLKFuAqmVHQVZCxk3HOfABlN02nT5GZ9PJ5KOBh1pk8kkwUNbW5u8/5zP\nIwKnS5s1UktnP5FIVJTqcQ24GXQH6ClTpsg7zLUTtWXLFixevBivvfaaZBB5T2YBmNUyKnNj+RNl\nlqXMfr9feEa+MSD2+XxyPwJeOlNLYMFqtcLj8cDr9Uon+RkzZuDwww/Ho48+ijvuuAP9/f0S5PAZ\njzzyCO666y74/X7MnTtXFAwDD66v1+uVQCKRSKCnpwfpdLqixJlG3W63S+f55uZmfP3rX0cgEMD2\n7dtx7rnn4qGHHqpQ8H19fSgWi7jtttswatQoLFiwABMmTBAH2phtIp/S6TQ6OjpkvnQIrFYr3nnn\nHdx+++1YvXp1RdkiUPlqVzZKZSm0Rql19pbOkd6f1EcMHA4mYkDETCIw4mQwSGcAoBvuMZPKfUHn\ngyXYfr8f9fX1CAQC8ho/6jYGKvr1eiylZrNaZlRZ2RCJRBCJRES3UKay2WxFSTnliaXmbBLKwMXt\ndsPn86Gurk7+6E7+3JsEOrkfPB4P/H6/NJAlaJBMJhGNRjE0NCTgFnni8XgkGAsGg3Lchq+uJO91\n+SpQ3WCT5yzHJ4BMGWeWWFfdMJjVfNAAt8vlEl4EAoGKtQIg9+QzNfBPu0e9yz1FvcLKDtpDr9eL\nxsZGNDc3o7GxET6fT+RNB/8cO/WDDoT0s7mntcOmAy3KLo9H6MymPo5BeXI4HAgEArJezODS1tG+\naQBBgzkalOfaGHsvaFtHp9Dtdlc0aNbP4D4hqM59pSsjmbgYGhpCIpGQIz0EGWjTKJfaFmrZSiQS\niEajSCaTsFqtqK+vR3NzM5qbm1FfXy/HLchD/tbYE4PPYqBI36Ca76Qda73eByPpZq1GHvAz7XuQ\nd/q35CVtH+WGOo6+jXEf8RpgpKye4A/3IiumCN5y7+p9aezdosenfSbKBDDyBhFtQ3g/+lI6iaP3\nDmWZ/oIGoIzPJUDt9/vFTzQCppqH+yLOy5hc0qCBBkZ4jfYnNb+MvDBW8+hn7mt8ei0Yb3C9NL/Y\nc6q+vl7s+b7Aiv09U/O6WhBL0EofzeNYdPyh9wCPQXLN9VppHuu+K/R3taxpPWgct+6PpHst0f+p\nVvnA55C3vIbAndavmm/aVzXad+PvuN8IErtcLqno1uulEzXG+VVbJ46TvOP89waKHQh9KBUIxsx+\nf38/7HY7Ojo64PP5cNJJJ4mBPu2007Bp0yaMHj0aVqsVu3fvlnOH3MB8rdiUKVOQSCRgsVjklVZU\nkBqVDwQCcDgcaGtrg8fjwezZs3HZZZfhzTffxKZNm/D0009LcNPT04OlS5fir3/9q2TvfT5fRblK\nNBrF4sWL8cgjjyAcDleUwmezWQQCATQ1NaG1tVXG3NTUVPGWBm4SBo9m8/DZxiOPPBJ33HEH7HY7\nnn76aYRCIaxdu7bCGaGzbbEMd+ZmQzm/34+TTjoJN954IzZv3oxXX31VNgGzeloxUyj1OTQqRZ5j\nvvbaazFmzBiEQiGUSqWKs6JW63C35csuuwzNzc3y6iydZSgUCmhqakJjYyPMZjPq6+vl2Ac3DddM\nlwLreeqsGw0pFW4mk8Fjjz2GK664Ar///e+xZs0aPPfcc9i2bZtUjPz85z8XY8o56oyaBjB4b/0m\nDM03OvYEg2icaLjPPvtsOBwODAwMVPCCwIjT6URDQwMKhQKmT5+O2bNn4xOf+AQee+wx7NixA3a7\nHccffzysViteeeUVbNu2TSpPdDawr68Pq1evRn9/P4477jh5pZJGtQHIXNjs6/TTT0dTUxO6u7sR\nj8clO0HFGAgEMHXqVJxzzjlYuHAh1q1bh5deegl/+9vfUCqVpOEhG4maTCasWrUKxx57LL7xjW/A\narXipptuqlBYWl7z+TwefPBBXHfddbjrrruwbNkybNq0CV1dXRIg3HbbbcJjGn5tkBlA6VJaoPKV\njjrzQL2jEVadCTiYiMEsgVjNJ31Gn/uT+xEYeZUfQSpmdrVTxSyjzmjz9XMEC4ER/cHPqY94rpsG\n3uPxVDQ6ZKBFENmYQWfwqwM3BjbaaaEzTeCA2SwGY3qvaceOlRS8D2WSPKI+N5mGM8jxeFz4EI1G\nRXY1sFUte8XxUbfQgdeBO4NpBqO8jhUjtEfkhXbK9LEVPpt8oH0qFAoiE3T0tcNOu0fAks/zeDwV\nlRA88tHQ0CBvTaIccV3IE2OGkHaZAAIrELiWvL/X65VeAl6vV4AMAq+6goFz9Pl88Pl8ApjrKhkA\nUt1AWSQoyiCHupU6ERipkOO+oF/j9XrlVWrAcN8eXVkJQAAEAhy6moeywICe1RzkMR1rnZTgPmMT\nTwI/3EesyNB222KxyNuuCE5xT3FfaGCXvNCVFQQQmOkjT7iXNBG8P9hIn7XmmpB0ogWofL2bztLy\n72rH9Yz7lM8iaZ7Tv9Hf6/U0lonTVzKe5+ZzdYDNe3MeRnBQ6xRtx3WPK2Ngx/EBkL2qeUSe0m8k\n0MYkkRE82FsgbOSPtgP6evLC+L0elwYg9LWcv94XRvCh2n2NxLkzKcdjQ7QRjMGoq5gM0PfVGfJq\nz9OJWSPApX9vrIjTvobO5tOnByA2k/ZSr5WWL+3HF4sjva4AVNhv4/rRfmm/n7wgvzTPCchoudd8\n0QniatVBGvjTRxsYt2ieAyPHIjl/2jV9FIyxL9d4b3JhlGvqAA3OG/ccf7s/QO1DAxB4zrlcLqO7\nuxvlchkNDQ1obm7GxIkTsWvXLhQKBZxyyim49957JYPL4EY7Qp/97Gfx2c9+FgAqlBvfPc2AjRs7\nn89j7NixePzxx2VxLBYLAoGAZJ2AYcZnMhn09PSgt7dXBJmva+IZSLPZjK6uLgkSS6WR8sVMJoOT\nTz4Za9asEWNOZ43Iqa4+4BwA4MEHH5T79/b2VpQt0iGhkiBfli5dinQ6LU6U2+1GV1cXLr30Uumm\nbwyeAFSgsgxu+TuW6QBAV1cXuru7RSnTYdGbZNeuXdi1a1cF0koH9txzz8UXv/jFCiGmILe0tFSg\nfLo8iU4leaVL6jTgYLVasWTJEmzbtg1XXXUVLrroInz729+WUs9XX30VP/zhD9HZ2Snrrhs/cZ6a\nNxo8IN/oPFqtwx3/7XY7TjnlFIwZMwbpdBrNzc04//zzceqpp+Kvf/2rvHVCO5gzZ86UNQ4EAvI2\niueffx6/+MUvxBE3mYbfUMG3M7BqhXOmYzk0NIRIJCL8otGgzI0bNw6nnXYa4vE4AoEAPvWpT+HM\nM8/Erl27cP/992PPnj3iDBAUePzxx0U5AsNvt+DbGCizBF1YehuNRnH99ddj1apVWLRoEdasWYNV\nq1ZhaGhIHCGWZ5nNZtx2223o7OzElVdeid/+9rcwmUYaiz333HO4++67sX79epElyiUBJt24Tssj\nUBlQUqETdKL8aZ1xsBFBmlwuJ5VBXFNWyNBAUR+yn0FjYyOamppgMpng8/kke81XPNrtdgQCATQ0\nNCAQCMDv96O5uRl+vx8mk6miyWFbWxuam5slKGHJnj4v7XQ6MWrUKIwdOxZWqxXhcBgNDQ1wOp2o\nr6+XN9swQNRl45RPBpasImhsbER9fT3K5TJGjRqFYDAo1TtOpxMDAwPwer0YPXo0AoGAACrMSCcS\nCQQCAaliYGabZ+jdbjeamppQX1+PTCYjAAj3DhtFshycc9dBtDG4dzqd8Pv9Yi+t1pEmdaVSST4v\nl8sC8DJ4JtCQSqVkzXT/i0AgAKvVioaGBgF4tANVX18vRzL0aw8ZIJrNZjnjDAyfz+dxj2QyKW8y\nCgQCGD9+vATXuspBl+3rrBvHQACIlSrkqdPpRDQahcfjkYyN2Tz8amTqDa/Xi1GjRsn4qSsITDc2\nNsLhcGBwcBCxWExki+vON9CwuoS+DDDshPIVoolEAj6fD6NGjRI+x+NxWWceh+EYmpqapEHlqFGj\nxLmlDWpubkZra6u8fYgVDmx02NTUJHaFe4oAL6sWzGazvC2Jc+XrH4vFIsLhcAVYwns7nU6MHj0a\nDQ0NAIBwOIzBwUFxuu12e0XFHOWHdorHNaiL+ZpWDRTSsdYO+MFE9Oe4H3RwQsCQ+5u6gfJRLpdF\np/IYLQN97g2v1yuNXLlPGZQRpOWzWLnJBA2Pahp9Ru49Ak68B/WVLmvXgDCDWFZB0dawClMfmwBG\nbBTvzddIc3ysGNPBkw5MgWHdwWoau92OrVu3ir/C78nzvQXnOgjk38aAj1VNHC+DSl2ZQ3knSEef\nxeVyiW7h0T3jfDTpCi7dZJ72ieMwAsSlUkl64OgeOvStGVeRL0YwSfODQavmt046aP0MoKISiT4+\nK0904B0IBOByuZDNZqUPDBMAlHtWenGcwMjbX1g5STvCqgGPx1Nx3I86h2CK0+mUZKmuiCqVSjJm\nq9UqR8mqAaQ6GNcBOEESJiMIgvM7+lkEaQkq0ochvwgklMvliqb4WpZ1koRVLfn8cBNqVm3Sxmgg\nyHiv/QFVHwqAQESdJa+6HMrn86GpqUk68Tc1NaGpqUmcKjICQMWm0B2BdUkljReVkm7cwuwDM8FU\nqrq8jsEOUSsdcDIApZPDIF6fW2EgbjyDxvnW1dVVlO0zMAeGhTaVSsHj8cjz2VyJ1+uAHwCCwaBs\nZm62J598Etu2bZNxa0RKo8M04gRKGFyRpzr7xmeTv+SXzjBQMJm5Ij+ZDWIzs7q6OnHwqPC4UTUK\nqs/96PlrZI0O3RNPPIFCoYDDDjsMs2fPxtSpU9Ha2orPfe5z6O7uxs0334xEIiHzpsHT/OA9dSkd\nZYAgUqk0XJ5rs9lw3XXXIRaLIZfLwefzobW1FbFYDH/+858rXsvI0iqbzYZp06ZVzDWZTOL3v/89\nurq6Khx3yjQdAw1kaJklMMfMJveAxWLBlClTcPnllyOfz6Ourg6jR49GNpvFH/7wB6xZswYA5DmU\nJza941rrMRmRVe5jq3X43eubNm3CzJkzMWvWLKxZs0bkWh+v4RGmF154Ael0GrNmzcKpp56K1tZW\n1NXV4dxzzxXe9vT0iFHi3Oh8OBwOxGIxMQqciz5iobPnHDvXnMDJwUZE7bPZbMV74bm3GCBQd1DO\nKHes3NDZJeoOXbqoM580oPw/11FnTbnfvV6v7D8GjHqddK8FXs+shN6v/E5nfThP/q3BTOP/SVoH\nEhDkPEjVejxwrC6XSwJb9kGhDtpf5ovP1/qPfzgW7g/qW1ZSUKcbs9OaD3rOzGJqEIHP5/rxORqA\nNQb5DFAZBPD4IG0/syjcp7q6QJe0GrMh3Lu6PF+XpHLcOlNIWaHMakdPn5/m/HW5tuY1HU1WfvA6\n6k2v1wsAEhzRtmjHnD4JMFKqrcti9Z7i33p+1J/U1+S5llEdJJKvtMt6X+rrqdf5pg5jxREBW/o1\n5BvXmeNhTwbKPefGdTBm4g520hn+allrBlr7ul7LFv/NpJmxZFzrQp3xNmYn+fxquqlapYiWVaB6\nFtt4L/0snTCqlv006uJqGW99L86NOoWfUScZ730gsri3rKzerzrTa6zsMvKCtLdn7y2A5/MAVMQo\nxntqgA6AAJC6L4CuVOU1nMPe5luNjHOgntZHnjmGavfWCR0tn7p6VFcgaF5QHui70C/WyST6eryG\na8Exah7xN8Y5VfML9Hj4OeMRPUbNE03GIJ7rpRMN/Dfnx/9X47nW/axy53X8zQehdz8UAIECwsl0\ndXUhFouhpaVFSqrvu+8+2Gw2zJw5E5/61KfQ0tKCXC6Hzs5OACPBQTwex9tvv4377rsP//jHPwAM\nL9wJJ5yA22+/XYyn1WoVxK9QGG60uHDhQkQiEZx00km49tpr5b5AZVdNok80vmySREfD6GDzGUSI\n1qxZg+uvvx7hcBjlchlNTU1YsmQJjj76aCQSiYqgm+MslUr4t3/7N2zZsgW33347jjjiCHEAGhoa\nBGWkoBNAWbRoEbq7u5HP53HRRRdh/vz5mDlzZoWTRqJAE0nj/xmU6+ZbGnygk0DwgE4rBV9XcBSL\nRfh8PnFun3jiCdxyyy2SxXQ4HFiyZAk++clPCsrN4JdOHjcx58tSLFZG6FJcXcXx1FNPwWQyYenS\npairq8O4ceNwzTXXYNGiRXj55Zfx/PPPS9NMbVg1b7QhZtBAkIeOGMuttm3bBofDge3bt8NkMmHj\nxo1YvXo13nnnHWluRfDH7Xbjtddew0033QSTyYTzzjsPZ555Jlwul7xmlMATndIjjzwS3d3dFeio\nVsoulwttbW3o7OysUKikcDiMLVu2CFra19eH5cuXY9u2bWJMeD+Xy4XBwUGcffbZyGaz+NznPofr\nrrsO+fzwK+fcbreUblN29DpFo1F873vfw9e//nVccMEF+K//+i/ZWwxoyFcA6Ovrw1NPPYXnn38e\n1157LUaPHo1gMIgf/OAHmDdvHjZs2IB77rmnIqvBZ5XLZXg8HjQ3N1e8mpHKlUqZWXY6xFr5Vtsf\nBwPxbQLsvs7MI3UejTfP33d1dSEcDkuWq7u7G8XicDPQvr4+2O129Pf3S3ATi8XQ3d2Nvr4+pFIp\n2O3Dr/k0mYazZayKYhULAIRCITm3rxvW6bOyDMBjsZjoS32kTGfv+VkikUAoFILZPHw8zGq1oqur\nC3v27EE0GpXgibLAih421uMrGVOpFPbs2YOhoSGUy2XpJcDGVLFYDHv27EE6nZaMMRvkMruuwRrd\nvIpj0CBbuTzSy4SVD1rPOp1OxGIxKXdkqWi5XK54ywB1AsvUBwYGsGfPHslIhcNh7NmzRyqDSqUS\notGo2C1dKaBtH/tAZDIZhEIhpNNp1NXVyXoVCgVEo1Hpj6DL9D0ej1QlUJ/zVY/Ae9/DTcBRJwyo\nr8xms7zekGB7IpHA7t27ZdzabjBDx7LVHTt2yJy3bduGvr4+6d3AajjKYj4/3JR2aGhI5I79JPjq\nRVZyMRGwZ88ehMNhsRkMavhdKpUSW0I9y8wbbSx7D+zYsUP663ANeL6bvSuYFWU1ZDgcxsDAgGSh\nWF1gtVql1wL5MjAwIDwnjwgMsLcF916xWMSoUaMESOC8mUzp7e1FT08PEomE9Ggi8EBHV1ciGEuO\nDwYiYMXMqLbbPMaiATOCq9Q3oVBI/JfGxkbkcjnZ5319ffLGprq6OgGHtL1jyXY6nZa1p7/JgJu2\nmn4Yj9gYgy36pvwMqAQSKCN8lsUy3JeM1WE83kVfyWw2SwKRb5fi+CjD1G3aJ2YmmxUK27dvx549\ne6Txrh4zx2f0qYzE3+jEDfWtBpepPwnOczz6WfShTabhisv+/n5YrVZ5/TWTpfSv9Ns1mPXWNkT7\nv2azWSqkdcNj/q2TZyTtR3Ou+6oI0oEswQtdVWQymSoSZ5QlvhaXlQh8NgHbUCiEzs5O2O126T/H\nKgl9NEcH9xoYpb01/q5YLIr9YU8PZvdjsVgFnylf2k9lvEpdyt8AEHtu7Amjn0/51EcDucZGcJmg\nK6u4YrHYe4J+3peJHh7Rp9/E/cbkOZNFOvGjgZq9ARv7Aho+FABBo6VUilQ4hxxyCAqFAtauXYts\nNouLL74Yxx57rBgZLj43BQUgHo8jHA5L2SvfVsCyXH2mkl3hY7EYtm/fju7ubmzduhVvvfUWbDYb\nzjvvPDQ1NeHuu++WhaMSZxkIMHxuEUCFMqIQ0skhUNLT0yPZFzoeXDwuJJEmZotSqRR6e3vxve99\nD/X19dJ4b/Hixejo6MDChQuxZcsWpNNpKV3v6enBP//5T2SzWVx11VXYuXMnrrnmGtxwww24/vrr\n5U0J3ODlcrniaIBWcDpjyFJbOgdUkMzIUPhYDcEMCjcOG/7ZbDb09fWJkmR2R2dadAaZws/PqXjo\nQGtkzWQyob29HQsWLMDSpUtFBpLJJAYHB9Hb24vLLrsMzz//PL75zW+ir68P69atqzCC1VBcI6jA\ndea8BwcHkcvlcNVVV2H79u3i2DJ7Qx5RhiwWC5LJJCwWCzZt2oRwOIzXXnsNmzdvxpe+9CX8+7//\nOzZt2oQXX3wRFosFf//737FgwQJMmzYN69evl6BLZ2ODwSBOOukkBINB3H///QIymEwm6Xz++uuv\n44orrhDZ0woLGOlo7PV6JdBKpVLo7u7Ggw8+iLfeeguvvfYa3G43zjjjDHz+85/HJZdcgng8Lpkz\nnfF68803sXjxYsyZMwe33nornnvuOeEhK48OO+wwLFy4EDfffDMGBgZEMbM7+mWXXYZnnnkGp512\nGv74xz9icHBQqiOI7LMkq7+/X2RZz4syrYE9I2C2t4zHR5204SP4qUGDUqkkzZb0Wxa4TwiM6dJB\nnXXRx0O4Z6nraWi5PqzuokHVTeh05pz6B0DF+XcAUo5LnexyuaQhE4NgjcIbMx36c8qMzs5q3UMb\nxHH5fL6Kc5cErRKJBJLJpASbvN5qHW7qaCzh5P10Zph20pjFoU7VDpHOIjNw5pE2i8UijgYdJZ2d\n5v7VmUgNbgMjWU0NNOsmjXSgWTbPwJOVUew1AYxUBjFA10CKrhThc/X49OcMMgji6Iq2cDgsupdy\nZTKZpOSYDTZZ2hqJRDA0NCRBM4MvAh0cH/cH+ce3v+iAS/OQ8qr3RyaTEQCPjjKr8HS/CVas0Qeh\nnBOEIFigezfwGh454Xg0GK+DBfY64NFH7gUee9HVopQdHbBw3hp8J0DCfQOMVCRwzzscDgGADlbS\nJfjVMooEyfWxFeoMHchwfXW1CVDZRV6D/dVIB/0A3iPHepz7y6Drsnh+r48J6/twb1W7j9Fea9DC\n2MeGn2tQmbqYAXU1XuuS873xRyf7jP6Ckd9GoszrM/v6jTi8TgfFxnEaM9/63/wNdbNOIhlBkWpV\nDfNBZpoAACAASURBVDrwpw7fV6Z6X9/p8eh/E4w3vvGKvoTRb6COoH1gAGy8P3mhkwZG3mleUTaM\nAbM+IqC/MwbXeo8QTOdzjfGDxWKpqADUlVfGmEfzg6+pr8ZP/X9jklPPV8d0uhrXyIu97bv90YfW\nA4HMY2AVj8fR0tKC448/Hrt27cLOnTsBAL29vZg2bRpMJhO6urokO8ZyRF2OSQNULBbFseTr6Mhc\nlpHSWWUmY/Xq1ZIt/8IXvoBgMIiHHnpIglAaOovFIu+t1qV9ugxRlyKyooDntEl0lGiY6SQwU080\njZli8sPlcmHWrFloaWlBIBBAXV0dAEhZLB15zu33v/89Tj75ZJx55pn44x//iHA4DACCnuryVADv\nCfw5TgbLumESnURuRDp3nJ/OLgAjjrEO5rRjrBE/Crk+usLrmcHRqC+ff/bZZ+Oqq67Ca6+9hmef\nfbbCgNAhtFgs6OrqErRfK0yOW1ck0FHSGXSOn1k4AlIMfrhhteHUxomAFsucQ6EQ7rzzTqxduxYP\nPfQQvvKVr2Dz5s3o6+vDxo0bsXPnTpx55pkoFAr4yU9+Ig4nA5XPfvazuPDCC5HL5bBq1SopAdYo\nOZFPztkYDFL5UgGSBzwTtmfPHln7008/HWeccQZuvvlmUZz6vefMAIbDYfzoRz/CXXfdhWg0CmBE\neXu9XsyePRtf/vKX8fzzz+OZZ54RWWIJNYEnVvnwTLweP4MsItsaeNL7jZ/TKGm9wHsb0eOPOul9\nTSNH3nAt2DG/v79fwBv2ONCBtt/vl7cv1NXVwev1IpfLVbzCj2fugeE14Rn65uZmtLe3i9wyAGK1\nA1D59h4G7EYwj2/joC60WIYb0zJgZs8DXssxA5CxcU8wO+T3+zFq1CgEAgFEIhEJHNnjhkCox+MR\nPgaDQcmoaVCFY+cY/X6/AB7UFfwNZZs6zujU8Hu/349AIAC32y06Sf9WO2+0NWzeyvPx/H0gEJBj\nc9RP3Fcul0veKMFAmLo1FotJBpprxTVyu90IBoOiP9PpNKxWq5xB1vpfNyrUwSh1snagySPaTY/H\nI28gCgQCskYEjyiruVxOehjQjns8HullobM/wDBAyQCdfgP5qrOu1D06K6eBbp5FdTqdGDNmjPQA\nKZVKkmEjQO5wOOR7APD7/Whvb5eqPcoZATz6Jzzjy/GTL8CIc6zlUTdmJN+CwSBaW1tl3Z1OJ0Kh\nUEWlDG0Fn8F+KOyZwr1jsVgQDocFTDIefSPvdJb5YARydY8lLVckJsOoG5lNNAazOgOZy+UEQCXA\nVa3CARipCrRYLGhsbAQAxGKxCr1kLMUHKrPQ2l8y6iqSDuBtNpvIJoFOHWDruesSdjadZiUNq110\nAExAkJUWGjw2BuBGQGRf8mcEOfT13IP0scgLXRVhfB6rn6gX6KfSL9eyoKuvuFYE3sxms4B1lIdq\n66wbqPJ+GsjXf+vgc3+kf6fBJuorBsO6qtnIC4K8wEhVNL/Tfpn2WfWzuRf2N06gsgqWY2Tlmwbf\ndCzAa10ul1QWRqNR6XtBYF7zQYMJPM6m19R4xELPieCSPtamx62J1S6UNf1WEr56mpVH2s/4/0sf\nWgUCFSbL7RiY1tXVYeXKlZJR37Bhg5TvDw0NSeaapLtv01DrM4t8HolCweZCdAo0GEAjqJ1VKh6b\nzSZnHIn805HW5dxWq1XO7JbLZdTV1YmCbGxsFIM6ZswY6fxMx4X3sVgsqKurQy6XQyAQEGden2nj\neftx48ahXC7Lq2rK5bKULC5ZsgRPPPEEvvvd72Lr1q3S9IZGQWejqfR0lktvBAq+1+uVt1nQSafT\nyQYg2tHnWxeKxSJcLhdSqZSAMSy9BIa7/rPcFQDq6upgMpnQ2NgoTuioUaPQ2dlZccyBvSyam5th\nsVhw22234Utf+hJ6enqkIqCurg7nnXce/H4/XnjhBTkOQzIidcazmvq8GP92Op1ob2+XANbr9YqR\n1oqdCp9OHLMJTU1NgjYmk0msXbsWDz/8ML72ta/hb3/7G5566in09fVh2bJlWLJkCS6++GL09PTg\nsccekyMfU6dOxVVXXYVx48bhD3/4A7Zu3SpBFx0Iq3W4sRWzlAxIaGj12vLVZ3a7XV51R/RXv7+c\nSDedZGbI2CyPZZWrV6/Giy++iJNPPrkiQ+dyudDa2gqTyYSf/exn2LVrl1TPsEP5Oeecg4aGBixf\nvrwCMeZ5WqfTiZaWFjQ2NqJYLEpzm3K5LDzVe4VnBbUjwLkfbOABMMJHOiY0cJR1GlX+RutDBlMM\nYCj/zGByf7DjPHUlUFlyaLMNv2Krvr6+ookbjR7Xnd8Vi0WRTwYqNttwY10GOszMch4EBvR+oPwQ\n6OBvKBtaTr1er1QYWK3DzQRZeQRAnkfHmWAJdR73iwZNOXd9tlk7QVoX6zPrul8Ov+OrCvks9pmh\nw8F1YqAGQOwcMNJLgn1p6MBpEEMHjCx9Z9CsAQ/yIxaLwe12C5jE3/EZdP511R4r/jRgrO29zu7r\nDBuAiiA6EAiIvqIDRSc2nU6LfmFDTb6ekzKpmwum02l5zSMTAtQZzNRrHlPuWL2gAWiLxSKyziMW\n5CfvQZ1Ff4DXsHlcLpdDY2MjotGoBBzAe88u8350KvWeowxyb/OIj9VqFVvOV/5yHuFwWPSBfiUj\nbRorfbgvy+XhJp78nrqbDrrWJRwrfbODjZi4qZaNBFBh+7gm1FNAZVDPpFi5PNJcT1doVbNzlBu3\n2436+vqKbC4rZ6kPdKaTup+2n3tV93cxBlL8W1cxWSwW2Td7K5lnwsTv94uupT7VYKb22bTfqius\njFlgIw/3RUagQQfCLMOnLDP43Vv1hzG5Boz0lqgWyHM+5Bkz33xWtbnoagPuRfpIXN9q4AH1uw7K\n9f2r8YF/cx/rqihdaa33vXGOWi7IIw2ScdzGTP/+qJpcsbKMx61oW7Xd0UAMk6b19fWis7S+rwZg\n8FqdsNLfGXkKVFbp0y4TENfrxTHx2cZ1JpjLSjvy07hmeg30mPfH3w8FQOD5O26yXC6H3t5eHH74\n4QCARx55RMoBX3rpJZx77rkoFAoYGBgQ4zN9+nTccMMNaGtrQ2trKzo6OvDb3/4WDz30kJRWu1wu\nXHHFFWhoaMCf//xnhMNh3HTTTTj11FPh8Xjwy1/+UoSaGdFkMokJEybIa//obNlsNlxzzTWYM2cO\nDjnkEDgcDvzyl79EJpPB7t27sWjRImzdulWM+09+8hMcddRRmDRpEkwmEx588EFceOGFMJlMuOuu\nuzBt2jTY7XbMmzcPRx11FM4//3wceeSRuPPOO9Hc3Ayz2Yz7778f0WhUNkuhUIDf75dOyqVSCY2N\njXjyySdx+OGHw2w244EHHkCpVMJzzz2HSy+9FJlMBq+//jo2bdqE008/HStXrsQrr7yCq6++WnjM\nIwfacaWB1woeGN4EDQ0N+OlPf4pZs2ZJ9+W77roL+Xwe//znP3HFFVegr69PgvZbb70VEydORHNz\nMz73uc+hvb0dCxcuhMfjwc9//nMcd9xxsNls+M53voOjjjoK3/nOdzAwMICzzjoLV199tWSWWPnx\nq1/9Cvl8HpFIBP/xH/+BlStXSrDKV5iNHTsWf/3/Xr25adMmJJNJnHbaaWhqasIDDzyAZ599Vsrl\ndfAMjChAOvZGxUDFNWrUKNxzzz044YQT4HK58PTTT8NsNiMSiWD9+vX41re+JVk2OoE//vGPceKJ\nJ2Ly5Mkwm83405/+hA0bNuAb3/gG4vE4YrEY7rrrLnz+85/H4sWLceqpp+KSSy7B448/Dr/fj7PO\nOgs33ngj5s6di7Vr1+KII47Acccdh1AohEcffRS33XabgGxtbW244YYbMHfuXFitVnzyk5/EqlWr\nUCqVsHPnTlx00UXyBhTOf+zYsbjzzjtx1FFHwePx4P777xfjy3OVbrcb48aNk31hsVhw/vnn4+yz\nz4bdbsdjjz2GYrGI2bNnY/fu3YhEIrjllltw7LHHCqBGXjOwbG9vx8qVK7FmzRps2rQJEydOxOTJ\nkzF27Fg8++yzePLJJ0VGfT4ffvGLX+DjH/+4ZBEDgQDK5TJWrFgBj8eDYrGIJ554Aj/+8Y8lKAFG\nXg2qz5hzzffmuHyUiUAfS6IZoPC8fTwelyoudvCmI1MoFASMjMfjSCQSsNls8jeDF509Z8WNDpZs\nNhvC4bC86YbOp+7YDEBeNaeBAwLAfGvD0NCQANIMcJiRp47XmShmgBhs81qeMSXQzTfssA8Cz9Hq\nChmCGDw6YDYPvxkFgDhtzBLpbCx5zYAKeG+DRM6B8zCWzFPmuaY80seeC+yDwNe7ks9DQ0Oio8gz\nOkU8GqQ7/vNMPav4yuUyBgYGJBPDDBPL6Hncj4EE58J5EUgxrrV2bKo5qQCkBDgajQqAQ6fUZDLJ\n2VauL4N7diDn8UfyPBaLiTzos/xDQ0OSiScwqc95AyNBsc6C2mw2DA0NVWS0CPjwiBbXh8T9wqCP\n62s2mzE4OAiz2YxQKCT9B1i9Yjabpb9DNBqVZr58LoMaHTzSDysUCohEIhgcHBQZIchNZ14DYAAk\nm8X5DgwMwO12I5VKyVGHYrGI/v5+hMNheTOKsXRaJyq4Jw5GPayPghirjKhvqReBkQpNbbspcxqg\nI991oKbXQAP63E885qr7z+jqUoJ3zHIzi20MunSAS12rg79cLidJEIINxgoUyj7HnM1m0dfXJ2Ml\nMEcgnLykPLEnCPWsPqZA0kGSfv6+giddDaXHxvlo35mALKt9yFsAsqfoW3E/Gp/F3zIbTduUSCQq\nKh3K5ZFKC+3PAyNvs+AxAD1+454zVmrsjV8avOU6Us+wCjSdTksli67O0sfWtBzTT9CfcV7GY6jV\nyBgUk4fGdeY9ePSOdkPzjDqba8IKn97eXvk3ZZ8JR+p78pS2m3beyEOStt9sHs1+M2zMz7Hp9WKS\ng//WlbsEiPSz9doaQSodBx0IfSgAgu4WDAwL9o4dOzBt2jSYzWbs3LlTnKmdO3ciGo2iWCxi+/bt\ncg738MMPx4wZM2ShR48ejSOPPBIWiwUnnHACJk6cCACor6/H+PHjpaHT8ccfL2Wz48ePF0Ya0aFw\nOCxKmKWmxxxzDCZMmCBKKRAIwGQafr+3Ll+x2WyYMmUKDjvsMFGqkyZNgt1uR0NDAw499FBxHvma\nyVwuh0mTJqGhoUE2Ebs4603ATCkdNGbHGASwhDQQCEgGz2w2Y+3atejo6MCoUaPQ2NhYUYaoUUE+\nG6h8H7DO2DY2NuLEE09Ea2urKOa2tjZRflp5BQIBdHR04NBDD5VnNDU1oVwuo6WlBRMnTpQN5/V6\nUV9fD2BYyA855BAccsghgs5ys7MCpLm5GU1NTeLMmkwm9PT0IJVKobOzExMmTMChhx6KsWPHSkn9\nmjVrcN9990k5PdFrvSE1Ekrib7Qj63a7MWXKFMnW8bVezGiyMRKra0wmEz7xiU9gwoQJogTa2tqk\n3wCNzuDgILq7u9HR0YFp06aJo/nCCy/AbDZj1KhRmDFjBqZMmSKlVw899JAAJlwrv98v/UNoXILB\noKDDzJ7pcq1gMIiOjg45EtPW1laBFOsMRH9/vyCbLS0tUn7LzCuNeqlUwtatW/Hyyy9j5syZiEaj\nMJuHO5hv2bIFsVgMu3fvxoQJE3DyySfj+OOPlyzU66+/jjvvvFN6OlBZHnXUURg/frwYIeqLMWPG\nyP959Emjx5RhbSy0ETvYSPNEVyKR9NEX7hHNNzqQ2mlgEK3vTT2tKwP4WwASbPJ7bYBJNM40dAx4\nNUCgM/wcOx1I3puOtbHqhPPR4AH/8Pe62ZwOGKkHde8bOg36zSgMyPg952nMsuj10Y41/09+cGzG\nKjvdS4L3NwI6dCips3WmRVcvkLfc39RnrHjgZ3yWdkozmYwAFXRaWQHCvUuHuJpTuK+MCH9P4ICB\nrl5n3o/2gXzmHAhg8DPek84qf8NgnbaNvOX9dNCi9xVlXe8BLZ+8hy77Jf91GTTXmXtFn53ms/Ve\npbwz0OcxHo6N/KPt10Gm7tfBgJTBKfcw+aSBPjq55AlBKsqGdla1Xubc9bHUg410QLo30qXw1Yj+\nnA4Oaef0/jFmL3XgT5nh86rZRA1qUXYoD8bgn7/VQQvlnDLO+RtJgwe8nnvRaB+MGX6gsrcRx8e9\ntrdAySibeyPNR30NfVzOSe85zsNYMcBrud+r8ULzkXynneF9tO7VY9DX6ioAgrjG5+h5VZt3tbHp\nMep4Qf8haVk3PkPzUZPRjzDySI9hX2vL8enf8F5cUw0CG20ux0YwSgNzxt8aPwfe+2pH4zj5e+5H\n+grc+3vTD9ov5xx1tYr2m6rxqJp9PRAylf8ve800RHoD8uydLntjwODz+eRd10NDQwiFQpIFnzRp\nkhj0bDaLrq4uJBIJOYfLs1wEHorFIjo6OirKrVi6GI1G5T3fg4OD0uWYDpbL5UJ7e7t0ZGYTPJ7v\n2b17tyi2XC6HtrY2yQoFAgEkEgns3LkTpVIJY8aMkfc222w2dHV1oaurCw6HA6NHj5aqB6fTiXg8\njlQqJWUszGiZTCZ0dnZK0EfAgF1a+a5mlpb7fD7pcFsoFCRrw3vpDIkWNK2oKXQOhwPt7e3SRJJn\n0NhBtb+/v0KJ833TwLCgs3s6ARRWVDidTvT29srxFY6bGUduJipQk8kkHYb1WWR2IW5ubsaYMWNw\n6KGHIhKJoLOzE++88w56e3sr5FEHoFqBUDa1YSBPgOHSIp/Ph/b2dgAj3VMZ1LOKhYaP55VZHspy\nt87OTukcTwoGg2hpaUE6nZa3arC0NhAIYPLkyTj88MNRLpfx/PPPY8eOHXI2m/JjMpnQ1tYGp9Mp\nxxAoS+l0Gl1dXRVn4Cgr48aNg9frRVNTk5whZFDFcnQ2Lezv7xdZbW5uliMSmUwG/f39FSXudrsd\nwWAQe/bsqcjKNTY2olAYfgc9K3ZSqRQikQi6urokK6yBAB7HCAaDkgmn88k1GhgYQCQSkSBIyzRJ\ng4bvV4n+byWTyYSjjz5aMp7BYFCO1jBL4ff70dTUhEKhgO7uboRCIZRKJXm3c7FYFIScgcro0aPh\ncrkk4OBRKmY1qYMY6FmtVrS3t8u5QspjJpORngMMkthAkUdXgsGgHAeLx+Po6upCKBSSQMpqtaKp\nqUkqInjOnfuaPWZSqZQAwsZA2+/3o62tTZr3Ur4jkYiUaHu9Xgle+YclhB6PR45fZbNZRKNRkUEN\nwHCfeDweKQVnAJvL5eScMI9/MZvf0NCAhoaGiuMh4XBY3phBvdLQ0CDHzPL5vOgiPpcZlWKxCI/H\ng1QqhaGhIWk6bDab0d7ejvHjx8uRiWw2i97eXqnQ4FEyggsApJExbYnb7YbP56uww0NDQ0gkEqL7\nqVt5ZI/EhsHsps3qC74Jw+FwIBgMwuVyyVs0BgcHkUqlKjp6+3w+OX9NO66PDubzeYRCIcnwUXe5\n3W4JmOmU0fknwMm9xT4PlHH2Z2hsbERjY6NU+KTTaQwODkrQbjKZRM8TeGLloa4K0mfAeSyCYHM8\nHhfAyuFwyN7iuHl+msmL/v5+6W7PI0gEUfT6AZDO/tStJpMJwWAQhx12GPx+v2Sdmc3Wb2vQvNaZ\nSO5pyueyZcsOKj2sG5pqP0AT/WbaaWDklZ3cR/QRNJCpia9P15UMugJBd/Y3Ag06IOd1BFj5Gf2p\nQqEgCRTeWzd2NgIZ+D/kvXmY3FWZ/n1X9d5dvS/pJBACJAKyCIyyjSIgARmHAMOIILgAKqgTo4Oj\n/pQRUYK4MDrCjILABYjs4AAKhmFTNg2oCDETMSEkZOn0Wr3vVe8f/X5O33Wo6gTQYTDnuvrq7qrv\ncpbnPMv9LEfTKQ3IAIwiN/x4l98LjUvKGbODHA5O8o5CxpsDHIUac8YaoCPGRjnrU1FREdJ94eVu\n7BUyeB1k88g7TrTxNfEUIMbI2GOwx9fYjW/6HK9Fob0Ij+BZ7mhgTwN20A/y892ZsK297hEL+a6f\nCUDwOXSgnM/jVGXolv3oTg364qCUpCCLcSQ4CEO/8zlF8oEdpCRms9mcUywKzRHFgwFv0ZfZozjr\neJ/v05kcZ4xzpmteF6jXUXYUJAS9G3OJRCIop9K0x4EQzaeeeionD5MN0tbWpq6uLm3cuFHJZDJE\nLUjSb37zm1CVHiYF0/DiHq7cwqy3bt0aiip6vjBj8MXZvHlzTl7W6OhoUADa2tq0bt26HMRImjLg\n/vSnPwVjGEO0pqZGPT09QeDjraGgjh+txqaH+DGoUPDpJ/MRex5BvmJvint3JiYmtH79+iD4IUYI\n1VG+iYkJbd68OTBJR1AxaDdt2hTW3TcmQI33JZFIqKqqKjBPJ2wEIO/r7u7Wn/70Jz300ENBUUIw\n0EcHI9wbCU3QL0JAfX7Hx8fV2dkZ0icwqGIUGaWUkLORkRF1dnaGUF+QeEcd0+m0uru7g9DhGjx6\nW7duDac0gIb6hoeRbtq0KSilknIMJ9bCowsSiUQw8FeuXBkYrisa7nHzudqwYUMOGs47UCg8f4ux\njo2NhdSkdDqtjRs3BtpFmYHpMu+ExkpSe3t7+LyyslJ9fX2hT6xdnFNIn5wWWDsPS94RGuGOvmeh\nOfY94CtGEEYYRjnh+fx2ZQVacWWSnHQMfHiUH1lHAzj0qAH3QqBY8L+Umz/Ie4nSwnABJKAP5EG6\nlwi6Q15gIPPjOZ5EoGHEM3ZXaImcYo6SyWTYmyhe0Ld7cWg+dvfewF94t3u8vZYBc0FfkZkuC9yY\nQfnB6HBZCd3QXD5I07nA9AtFDO8NQAnfQXukCbghXsibhkHKZxSypOAUXnF+kE3cj1LP8wm19fmG\n/lzW8AyPjOO3z4lHvxQVFYVaB4SbkirED7QCwAWIgnIK/ye6AmWcPcU+wJjyyBNSC5hbj7AoKioK\nEWfsHzeOKMzmpy0lk9PFuVyu+72+VvAE5igOh0dZhg53tBZHwBa6hu/zRRbAbwDn8xlZzlv8mf5Z\nvj64B9gNRn82a+rymr/9vYXG6Lpo7An2scfvRVfw8aDPOZ90o7rQ+/25r6TFYIvruPSLvcL6+Fxt\n65nMDfLCnXrsW65zT7WPd6Z5j0GjQqBG3Jx356OHeO2QB4BKM9FD/MyZDGmnjUIAmOvzzsvdqRTz\nMMYXg0k+PzwXXT5eN9ZsJnDDG5FbfL+tdYB3xuvskSjx9dtD3zMBaLTXDUBgIp2pwYAwcpyYfaOB\nQgIOYKCzaVEuyK91Y5DcRhRHZ7woCYReu3EFskTUAPe4oUzRIYq1YYxAkK58wlBgam4kYuCxwTCW\nUSAQwCDREByAiAMwPINwRDcwYwYLsSHwpWnGj/cCBaQQIsycuTcGQoR5okx5oR0McPrEWnIf65RM\nJkOOPwamj9dDQvHuufHvTIs5jPvv73N0l3nPB7YkEtPHBDn90mcYKmubyUwdL4mS7qAD4ydM1g1e\n+iIpB7Cg75wb68zKlRMfPz+sJ9+xzjwfJdtz12MEG4bnz/HUBwAcDA1/N2N2WmPtUaRhzLyb8fge\nJAKI+eY63uv7LA7d8zHtSI01lqaVFAcVJIUIgERi+shWNz7ccAEMoDHnbqA4EOXC2vMD2dM8GxqO\nAQ8p16MU52rzTgwmV5j58UK8/OZvDGFXbj0EFGWIcdM/D3PMZKY8+/SjvLw8gDQY1Q5y+xw4f+Zv\n50HMMfvN+QNjdmWOzz00krFBD6wN78eA9fVw/uIeTN+THM/Hd8gn5tAjn7wgn4/blbdY8WNM0CJz\ny/r73DndAaRQcBGZBTCP7OVa5Cb8x3kTtOtGAWAJ42VeAbLcu49MYSzsJ9bBT5pyUM4NOsbOeAH3\nALxYZ+bbo7RYC6L9HGDx753uKXwJEMX9LoeZi5KSkpx6KNCa6wa+Jx1I35GaGx6xkeHX0PIZFjEo\nEDeX//Hn22uouF7j78zX71iH31aLnwkf8PfFzQ3l+F7vgxtw/r0bWNtrNMfPjT+P+Y4/e6axbM/7\nHJCh+X7za93ZU4hW4nu2Nb5CfYufAQ8pNI7YCcU9Ui6tuPNne9cnviYG2/nePfSut/qP83XvY6H9\nWWjfwRvpT6G+0mYClry58xk9OHY6+D7yNcoHaLzS9roACBQwwjByTz0KBsolBpSU62nBWPB7XLBz\nfUVFRTBuMPIQdhQdckGM5yKbzYZQMDxo9MtzaiE8+oTXBWHN/17Awg19aZrhU+iKMfkCo2y4wcR4\n3QuTzWZzQmb43M829c2dj1k7AIAiCPPiPg8jQulBcfJ+x0Y0jeMr4zQKPnPB4UqSF8Vxr2m8SWOU\nnSJr9Ndp0efFNxP/JxKJQLMAVSiajNsVXvodh5dJuYqmAxL5GD70j4LmYX3Qi4eLMf/e3AhAAfTx\nu7GFUUHfoUcACTesADjcA+fCM55L9nEymRtOxf7361Gguc8jERgLc07/YwHK8+PPGH8hZWpHa+4B\ndGPAFS14bT4e4bSPocPcAuhJualAPNcNDudLrmzF75Nyo4Mw1HxPxQpcbOSwD5zWY09JrGBCN7Fi\nxH3IMwxYZAn8YXx8qmAkhitAGiAEIEU+JZfm/7PXHRSOlUsHgbifMWPUuUHqQEVs0DhwE9dWcCNY\nUgC6KcYHbXC/y0/kKfQCD4rn3QHGuNEXfuMJYo5dUXTD2WWLG86Tk9MnfhCBQF8wnqFdwF/kCPwK\noBUa8j3hgA8gBH+7Z9GBAp7N85zvooMgj7yImr+PtKTYWRHLI55BnxkH43d5wfWuIzi4B3Di9U7i\nfcrfjHN7lee/tvZaZdGrMa5eaSvEn1zXi3mo31vo/fF32wvmx0ZuoXfE+rDTmOsur8bAd3qXciOs\n/f3eXqnh5nPuoKrrv3zvstX31qtpMbDwSvuZ73ne/0L30/Lp86+0ub5QiDZiXdHpI6bzQm1bc5WP\nvv8c+5HneOQPn7ne5n0stEdfaXtdAAS81iDRLjwcKUJhcMUGQ93TBxDMniMmTREfFcRdqeNonNZN\nAQAAIABJREFUJZ7hQsyLALli4wWNaNyPcechUrGnJZvNhloBNDdOJyYmcirJSgp586RLeHEuxsdz\nHGihr24s8QwEAF5Z5hpFg7XwiqdEPbhS40a7lB8xA4SIDWPm0KNFnNiduFGsUTyhA57pxq2DSM40\nE4lETqVgFC9JgZZ4H9972Crzx5yj/KGEuwHEOJyu3Thi/NCEe+58fjw6gj3jdENfHHGMQQye4+iq\nM1O+93ny9XEDkPV0cMTHxj5xsMOv8T3utMQ4nPm5IEe5dqDJx+qf5/PMxugx9zsduGK/ozXnAdJ0\n9WxfI/dUY5w5cODKYz7Fr5DSGdOEp0SxPi7wYi8ORokbJryLZ0jToeK833mR07PvHX5i+nIvNnPm\nUU9uFJWXlwfwmAJ4DmDwPHIYfX5cYXKDlxZ/zxgdRCZ6wvM58QQ7UO/jhc+4su1GuHumkRHkrgNw\nU+OCCCuABOgKXs68ORgBOIG8hu7gLYCmzusZTxymT6g+UTb+Pi8y6Tyd++if8+B8yi+RGcw1Vc7j\nveDjZN3c8KZekkdSsqbwWOiqpKQkpA/Ez3eAywE9xux7x/k+fWXOKisrw1oTyeAAvEdweYQKDXAl\npmucLewVBzwY947Ih1+pIh/z2dhI+Eu2GKCN9fd8xqzf92r6NxMwsL3NDev4M39HITkW9yffbyl/\nBAj709/1SvpPPx3wje93HZhxoivHTpZtgTn+U8jgj2Wty1PG6zKR75xvue4XrwM/Mb35/MV2SKF5\n9efke747UlzmuE1QCCBwnbWQrhP/H/d/puZ9i/vg9Jrve97hchs6ytfHmeYwX3vVAML8+fNVU1MT\nBNqKFSvU3d2t973vfVq/fr3mz5+vW2+9VXV1dS+7F2KkwEYmk8nxBDtBcj0LSaVfNmMymQwnFXAv\nRE/RKxQojGiUPfdUxOCFhxT6pLJY7vn19AAPq3cvgBOnezQkBcUPBSAmaPcYoOC4hwYm4R6ofP3k\nCC8X5ii6eFYYqzMiPAiSgnKGcR/n/bhxwfcxk3Uj370Z8Vqj+MF03NiOC6GwkWLghPXJJ/QwULPZ\nbMhzjqsC00fuxTiOjRBnIKwlfWNs9MU9hDyDyAqa3xujr7Gi5cLEi5VJymHWpNG4gONv5ot8Z6qU\n5wMMUHZjb6zXD2Bs7omOUWD6zbvcs+YGTcxsY7DK+4bHl8b4oQ3f7z4vsefsjdReCy/2kzg8zBgl\n30OtBwcHw36Xpg0gj27xvQCviNfWveVuoDvf4zN/RiIxfeY9vNnvoz+cioOHHmAiFvDwTaLa2FcY\ncuwV97TGCgVj4HsfOwaSpJDbn0hMgdHUe2AMfJ/PgGLOGCdzjiGXzWZDnQoMsURiKn8/k8mosrIy\nZ894NFD8Xngt/Nv5sKRg/A8NDYXoAopYkofPcYgcxUWNCYzsOO8fkIJx0zfAD4+WYw79WDSfh5GR\nkTCfPAtjGL0hrhnAWvo6M7Z4XR3AgF48lcGBZgeMPXqDPnJdWVmZamtrVV5erqGhoZCOiKODIp0U\n6gSggIboC2COFwVzhd33octCX3/Wy2mJecZIdAOMufTUEd9nRUVTtSYYJ04QB49dz8lnfL1R2mvh\nw/mU/pnmITbK8j1je9orNe6dDzgd+DPcAPEieTPJ1kLGFrTE818riCC9PDIgdsAUMhTjdzod+/Wu\nf/s44tTSV9J4X6z78HlsHBMt5HLCDWO3QWYydLe1bi4HYwM23x6HJlwvK/TufN/7dTwXXZ57Y/ns\nz/XPeHbsdHS91YFzn6vYXnE63Z61zdcfWr7nxABKfD/r5Ps5Xjv0h3huCvVte9qrBhASiYQeeeQR\nNTQ0hM8uueQSLVq0SJ/73Of0jW98Q5dccokuueSSvPdK03nHLAznZGMIIIxjQvBJQmA5CEFz48M3\nO8aCC1L3kjoTdEIp5AX1sEs34FgwDEpHgOibE4YrUigm9MHRXRQXFFr6x3copRh0FG1yLzHMH2Al\nNu7cUHPwwJlVHC7vBpijXs70mBN/Tnyvv8vXPlZe3JCOc9pdAfZCZs4UGAPz64wgkZhOW3CPuhvC\nsSDw+fV1daErKcfg8ugLpzV+WEtX/uirp3N47rkzIDd4fL3ifvIM76+kcKqHrwsKMIprvG+oxB4b\nUyjD7uWOQQZ/Dz/sKX8P8+R7BoXd959H3XhIufTys7TfqO218GIK+2GwxFE+Xm3fjRKMQQzDycnJ\ncL/zWowrAAk8wfBDV2gcbJCmDUkvyEfdFD73iu54TzGcPVqA5nyN316XgP4VFRUFUNVz0umve3S8\nPgD7gefk42MAdBhN3hfnT/TXlRY3lvmM9XOlimdx0kAM8HhkAf2FRzgPZ1zuhWKt8SbzLPiMpzgg\nj6iHQCSCr4M35xdeuZz97XzSPd8OJNEHmtMHvylm6N455s/lLpXP4fnMGfLXadBpmXt5DkBWJpPJ\nAeuZd4B8STnggMs8aiK4DsC6UxyTIpJEDHCN7ycHPAAF/IfUtULKqetOcR0I1834zTtiw8Lp3mVe\nPrp4I7TXwofjlg9QyOcJ9etiHW6mfuYzrma63q91A5nP6J/L5m0Zn9t637aMrFcDmORrM71npnu2\nZYQVAjtebb8L3edOylj3i4EMaToljetm4sN+T/zs7RlLzDvob0wXhYzbfP2Pv/O5gTfl2yP5DOcY\nAIn7Htsu+WjdbZl8czYTLRSasxgg3J55jsc8E/jy52qvKYUh7sjdd9+tX/ziF5KkD33oQzriiCPy\nMksEIkKQo0lcQFM4zcP4JeV4TDwdQFJQypyJeWE+KXex3Zj1BXDD0gW9P9sL32HAori4EpnJZILH\n1hVZlFU2gReayrdpeD4gC55DFAwURM81ZjNxBBfPcYPKCdWBEMbmm5HxO0EzD2w0V4opcOk1KTCA\nKysrg2Ljz2ecDg64ssznvoHds4xxg6eGVA03HF0I44XDQKLKfDabe1yMK/XSNPDCmjqTipUv+utM\nHSXaQ4u8grvTBF47vmPM3O/M0+kRkCpWOpwBOjjhirfTUZxy4PTCM3z9AW14tgMF/E8/fS+yJ3iG\nzymGzOTkZIjE4TP2nNOTCxLG4Ao5Sj5RSU7Db8T2ankxnkNoHQMCOuWIvLgKvDR9TBNHrxUXF6un\npyd4w3m+/wBUOKKP0SUprG82Ox2GTxSENLUPCaX2yAKeCyiNsUVoPbyVfRQXLsWohLYJqx4aGsrh\nAf63A3l4fl3osy6AmfAQ+EhsSDl44HsukUiE4r+ukLjhy/P8hzERIYBRz4kEw8PDqqioCOuXyWRy\njihkf9F33skpADwPkIl+EC6fL22EdRgaGlJ/f7+kKQCGPhL94ZF/no9P5GBpaWnwykMDnKIQH6PF\n/HnEDONlLG7EI2MlBeDDQ+4BHZgf+oq3FT5UXl4eoga4hxSPuI9cy37j+GZobHh4OHzvoIrLCq85\nAc9kXPBzeCOfIUMBD9i3pE7EACsphR6tQZFdBwYdMIA2eQ5AX0y3yIs/p4L7v91ei04c847YOGIN\nYz2X+x3IKfQMl78xn5ppTL42sT7hLdbZ8o1vW4YnfJA9H18bG7P57ve+/19pzKFUOKd/WyBQIWPa\n9zbz4/whbq4Lv5L+8/5YV3JQ0UHAQmPJB3gUmhP/LN4n+Qz2fABFof0Q/+3P4T6PDPf5d/2S+/L1\nNd+4tgcQ2J7rkcnb84y/RHtNEQhHH320ioqKdM455+ijH/2otm7dqlmzZkmSZs2apa1bt+a91xcT\nQw/jYHJyMiDxbtQipDEeUNa8uNzExESOQZfNTleUd+PPw64xdPyIRJiWGzwYcxgbHkrrxjgGTaz4\nlZSUhBoIMBKvsYDxzHWx0lpVVZUDqDhQ4SHy3IPy4MarAyLuccdod2XBi1xSgNAFSUVFRUi9wEhn\nfliPfEYofyMEUXTpi3tk3LjwaAjWgMgJXwf+p6Alf9McfOCHUFEHW5zporTSH9YAmuUzf4czE4+M\nQTll3vmN4cTYWb/y8vIwZmfKGFaExTkt8W73YjKmOBrDwSdohDV0huzzwDNZbwe2XJC5QSFNF2yE\nBljXWOhwbTyf7B83HPOlnPj+9/BnB/b8Ho9UeiO218KLn3rqqeDVrK2tDVEtw8PDOdXqPUTbUxnw\n4vrRTHinfZ9K00a3RyhIudFTkoIB68UcoQ/ywllf54tDQ0Pq7e2VNE0/MTDhQHQymQyeWp7BXHAE\nnwMOnM2MEYysgJ7jVAk3EH2tYiXRFWbngy4D2JeSAhDCPBM94XM1Ojoa1imbzeZ4t1lD5pn7/V54\nu58GQN+RHfBfV0bduMCYJkWOvg8PDyudTqu3tzeE50MrHNfpoC/vGB4e1sDAgAYHB3PSK3A2MC5k\nFXMHAODRA6RhABBxCoEXA6SWg/N7aAiejJz0NeHYQyJnvBaB07ornw6SIn/jNI/q6uoA9jgYxXOZ\nI48mgHa5lvmniDEgk6ciwVNdx3DggR+PQvAxQNPsA9aGaD4iOpxeN2/erM7Ozh2WD7s3lcaawS/d\nGHS9D17sepZfExtbMxnfhZqDDT5eN5D44brYabK9LZ9XOH5XbKzFct91nz93yzd/hQx7b8xDvnWW\ncnWYmdYqHwCd713eN49Uc4APHcn5ejxWX8PYgOa+eM3jucrXp0LGdfy9t3zz5893WnMd33XeuC/5\nmtuL9JG95U7emcCqQmObqb2avflq2vbQ6/a0Vw0gPP7445o9e7Y6Ojq0aNEi7bnnni/rYKGFJhcO\nL78f04YS4QZbfFY0Qqu4uDh4ubnXj4pzwwUGi4Hm+ZNsKK+wj3B1j2xpaWkohiVNK0woO7SKioqc\nvK9sdsqD4CGynl6AIYoxSIEk7sGw9blAcXUFxMeCd6GioiIYSK6Ux8oC30NU7rEnlxVFBOULRcej\nFTyCAYHGvMcMSMr1mrO2KGRSLsLGNe6ldq8g/XWjmsZaMC5nnm5IE7Hioa2sP0a1h0i70e9eFO+v\nGws8AyUMJTtWuFhXV9KdgfG5G+Q8A1DNGbADHFyLcuu53g5+MddeLNKjVHz93fMLHQEqsE5+jQsc\nBz74n7ngO2gKYYeR4AqTRxrwPK+EjqKbz8hzRfyN1l4LL164cKGam5tVWlqqgYGBoOB6ZFMikcjx\n3kL7PJO5BQyEd7qn1w3vOBqFdUulUgEoYl/AW/GIepoN+7mqqiqAhHF0CnsRnstYiDSanJzMOQI3\nn4cIesKIjovmwqOcF8b7yBVi6CxftA3X0GfWz0FvaiggiwjHx/s8Pj6unp6eEGng3mYHJuhHUVFR\nDhDDqUU09jN9cKAAwxDawKAmbQ6a8MgKB0gAEIgsdGcAdAUQDHDkwDGy3EGM2IiCdgGNiH4AbCCK\ngKgG6H5gYCCAo/SN3/Af6Aydhjl0fsY4/AQDGvMAsAvYQf4ya+a1cwB0fC9Ck8gs0iQ8zSiTmTpO\nFF0Dgx76YNzQBns3BtQZF3TNe3zvOMDLPDnoA33ADxobG1VfXx/0i9WrV+flV/+X22vhw9J0dIBH\nPvK5g/guH/MZZS5DYyPGDf1CBoQbhv5s7wfPcmcMNMizYwMwn9ESG8uFjEqfO9df3emQj4f+bzSf\nG9dJfP593fL1j7Fxb0wDrkduC2SLjdA4Ui2WSbGOmo+uWOvYMRnzBdfH841Tyj1Fxt/pnzlPi6NQ\nCgERPFtSjt5YaNyFmuuEMQ3HwJTzwbhv+d7jtBFHE2/v+m6rvZIxcn2h/m6rvWoAYfbs2ZKk5uZm\nnXTSSVqxYoVmzZqltrY2tba2asuWLWppacl7L+i8MwuYJ8yBicQ75MarE4UXYmRBXFlE4USJkaYZ\nUFlZWY63C4IlrDmbnc4tRzmk2J4zWM9JdUGfSCTCWckoLzAThL+HpmN00ffKysocgxTCcCWM612B\nYXweisx8unGHccj4HK2mD775UJoRUMwpimOMoPI988p3KBHuvY+NzBhFdGPcjVgXIO7FQ2FiTSSF\nYpsortCMK2LuBeIa/q+pqckpXMUzoWmfH94BPXrUiKSgMKJso8wRYowRxnu4BoWcdQIIcIUinwJC\nH6FzPK/eD+aUugcuELjHz4mPmTQCvbq6OtBcVVXVyyJq3HvHnDvNMj72JWvup5A4aAVtOYDl4AP9\ndYPQGTkM1EHHN1J7LbyYtXEgk8/dOALUrKmpUTabDV7LqqoqpVKpQFfNzc3BGJSUs54Ym5JCyDXr\nl0ql1NzcHNaNCv719fUqKytTX19fAO+QA+Xl5aqvr9esWbM0PDysvr6+4J2urKxUbW1t4P+cJMN3\n9fX1Gh8fV3t7uwYGBnKMZB83oG9dXZ0aGxtD1A/P8r2WzWZDaD/GPfwBGnMvrf8Pn3NlLva2sMcI\nu+f5lZWVampq0qxZs1RUVKSenp7QR4AY9nBpaWlIuRgdHVVZWZlqamrU0tIS9ooDdG4IYDh7Dr+f\nZICsLC4uVk1NjTKZTOAjqVQqB2SgFkJDQ4MaGxtz0rWKioo0MDCg0tJS1dTU5OSUDwwMaGxsLDzL\nwSDnJ6w7tIrRSvTD0NBQkHmVlZWqqKhQfX29Zs+eHYChwcFBJZPJACowXlLK+K6mpiYY/qTRwNc9\nMsfnChkCH+U0kerq6lD0Eb3I0/Cgy6qqKtXV1QWZA+geK6AlJSVqbW1VU1OTBgcHtWnTpgDQeVQO\n+onTmvNL5rSoaPqoUtcNuA7+4bLYHQgOsLhuApCB/HsjttfCh2nMMYCpGy8elePFCf07aM3nO26x\nQeYGRHHxVMFTnHPDw8OSFJ6NPs71rHdZWZkaGho0MjKiwcHBEB1F39zw4v3FxcVBn+Y93pwf+jgA\n+sbHx3PSfLz9pQGEQsZ9UVGR6uvrVVVVpd7e3nAqi18n5epkbvyShtTX15eTDrWtscV9iK91mwTZ\nha0TO+TQo2I6gWcj3+KIGNed3ebwcfNuSWGfO23Qj+rqatXW1qq3t1dDQ0M5tZl8rN4/eG4mkwlR\nYDEwEgMCM82jpODABXClr8wVPCvWufO1oqIiNTU1qaysTIODg0qn0zOCgX9JGn4toIG3VwUgQDzV\n1dUaHBzU/fffrwsuuECLFy/Wddddp89//vO67rrrdOKJJ+a9H48lBvmsWbPU1NSkkZERvfTSS+rr\n61N1dbVGR0e12267qa6uLieMua2tTaOjo2poaFBra6tSqVQIJ+3r61M6nVZPT0+OlwdjubW1VfX1\n9TneCPJ4t27dGgzidevW5XhnWltbg7diZGREmzZtUn19verq6jR79uyQT7p+/Xp1dHSovr4+KAL1\n9fVB8UskElq/fn04XtK979XV1dp9993V2NioyclJdXd3a2xsTHV1dWHBy8vL9cILL6i7u1v9/f05\nOZIU/QMQkKY9QLFHGkNLmhYcTswoDCj+jsYBAOy6667aa6+9lEql1NbWpq6uLq1bty6shTSlcFVX\nV6upqUl1dXUhFNg9UwAWJSUleumll7Rx48bwPfPjhmw+xK+kpESzZ8/WTjvtFOisra1NfX196uzs\nVFlZmVpaWtTc3Kx0Oq2amhpNTk5qy5YtGh0dVXNzs1pbWzUwMKCBgQFt2rRJmUxGLS0tmj9/fhjL\n888/H6IvKioq1NLSEoACjFwEcElJidLptDZs2JCTDwyNVVdXa968eZo1a1Zgzm1tbXrxxRfD2Ht6\nejQ+Pq7KyspQ8A7BOTY2plQqpZ122inUlOjo6NCWLVuCoe2GCXNHqgF7kZ9sNqumpibtt99+6u/v\nV0dHh9ra2oIyUF9fr5122il4/JLJpNauXRv4AUy1oqJC8+bN05w5c1RaWqr29natW7dOmzdvDnPg\n9AigCHDi3hb3ZrkiAT0gWDCKUMY9GsSRXgAjZ9oOvLzR2mvlxRgTeBFTqVQI64ZmPHTeATsatAYY\nQbg8Df7kBgYRChzL6zSBUYPx5eCv9PJjGfnOI6PgGU7zHjUA/bgCxHGKfIaChWcX+gR8QoEA9MD4\n4foYoPL5cH7qPNeBUv/xCBn6T/QevKa6ujoY3w6IOqhMvxkfkW6A5jyLe1lb1hmAhMa8+P7nHYwD\nwIP/Cc3nek5UQMaPjY2pp6cnzJvLqRisoF/0k7mBfzpwLSmkSCCLAVR87O5hI8Tf0+HgL/4uT1OA\nBwIgIBeYO0/Zcx0Fo5B7qNvgMgOQD2eBNO3V4m/W3B0pGFzuPIF3MnfsDTcopNwTbPjb5Qufs29x\nmHAv9OaphB5lxMkpyWQyAH1vtPZa+bDzghgQouXziHqDhmLPppR7UlNsNDjvcZp0Xu97O77XjUPe\nwf/uZKAfrrs5aOWN93GP94W+Oe+O5yFf//5SLTZSy8vLVVtbmxPJFfcpBpH5DTjKWsegXvx37OSL\njWX/PF7f2OHHnMNbsZtcjsVRB/HcxqBVDCDwmds9sdEOj3I+SWNvwN9iPc5TfeN5iukzbjFg5fZO\nHDHhOnM83pkAHmxNT5v9c4Nfr/T+fPxgW0AL7VUBCFu3btVJJ50kaUqBOP3003XMMcforW99q045\n5RRdffXVmv//H1lTqMMIn4ULF+pjH/uYFi5cqMHBQV122WX67W9/q/7+fjU1Nem0007T7rvvHpTZ\nl156SZdddpkmJyd1/PHH67DDDgve5mQyqf7+fj311FO69tprc5QKSaqqqtJpp52mhQsXhlzC0dHR\nYJxt3LgxeKmvvPJKrVy5UrvuuqsOPfRQHXHEEQFsWLt2rS6//HIdd9xxeutb36o3velNGhwcVHl5\nuW666Sb993//t8455xwtWLBAxcXFamhoCN6bRCKhX//617rlllvU0dERBE9paane+ta3aunSpWpu\nblYymdTWrVs1PDysWbNmBWKtqqrSY489pnvuuUePP/54ENju5ZdyjxvkJ2Y0vgFcUcXbjRLlm0Wa\nUv7nzZunD3/4wzruuOOUSqXU3t6ulStX6qqrrtLatWs1MDAQNvWcOXN06KGH6pBDDlFpaamqq6sD\nYEAkCt6wF154Qd/73ve0du3aHHqJlWEHRpLJpGpra7VkyRLtueeeQRlZvXq1li9frnvuuUcVFRX6\n1Kc+pb322kuDg4Oqra3V6OioLrvsMv3P//yPli5dqv3220/Dw8PauHGjvva1r6m/v1/vfe97deqp\np4b1+8xnPqPnn38+zOGZZ56pvffeOzCD7u5u7bzzzsFA2bBhg84//3x1dXVJmg69Li8v17777qul\nS5dq/vz5wVP/hz/8Qffdd59qamqUTqd11113qaysTEcccYQOPvjg8J5f/vKXeuSRR7TffvvptNNO\nU319vQYHB7V69WpdddVVwWPrecQuPFwZcUX/sMMO05IlS9TT06PHH39c1157bVDqWlpadN555+Wc\nff7Nb35Tq1evDmBWeXm5Dj/8cH3oQx/SzjvvrOLiYqXTad1666268cYb1dfXl6McoNSiXMIXmCsP\n/UNwYOiRy+vKdSxw3ECjMf6Y7reHYf5fa6+VF8MjvbYFvx18wvCjAByfYxiNj49rcHAwGDA+35lM\nJsdzhVLkaRIY/4ANAAR4X1EY8FbhsSKKBlCB/HmXCYwT5TqZTAblziNwyKenb+5xhy9imI6Pjwce\n5rTEfGIobqvFEQkxiMA1bgBIuV5fgA7mCkAgzk2lwQcwaEtKpo5eJPKIPRn3BcXdIyN4v4/Xo4Qc\nDGIdARCIRsCIdOUVg9ZBFFd6HVTiGTyXtYBeHIiAVpEf9BcvEoatew6514FHn4t47QHkifjwuYoV\nfP8u3ousVazgAfp4HSb3jPl42B++T1g/DzeODYx8dOrKM8+XFAB05pxnOJ93hdT3PM4JopFiWn2j\ntNfKh2PDJd/3bnhJuWl3bhQ6zW9P8z0mTdcEcn0ydjjR0MFYT089Q3bT/7hhMPNuvwbaib3gkgJf\ndr7reymfQfTnBBFmehZjYr85gJkPAIgb9Yc87SA2wmcyUP37eF393Q7CxBFRUu4x3OzX+Hm+p2Mw\n12WX943vZ6KLbDYb9AkHxGgO2sfz43wsnh+3YfLRhNOgy5xCc854nF/OBE4gc4kM3J77/lLtz/W+\nVwUg7LrrrnrmmWde9nlDQ4MeeOCBbd7PJCaTSc2bN0/HHnusdt11VxUVFWnWrFk644wz1NHRoV12\n2UWHHHKI9t5772BE/+pXv9LVV1+t8fFxzZ49W7vvvrvmzJmj6urqkHO9aNEiPffcc3r66acD0UxO\nTmrevHn6+Mc/HjzmY2NjmjdvniorK9Xe3q65c+cqmUxq11131YsvvqhVq1apublZe+yxh4499lhN\nTk5qzZo12rx5c47nJJVK6W1ve5v6+vpCLmoqlVJFRYXe/va3a3x8XBs2bFB/f7/q6uq0ZMkSnXPO\nOXrggQd0wQUXqKOjQ2NjY2ppadEuu+wSAJOmpiZ1d3ervLxcXV1dGhgY0Lx58/SBD3xA2WxWTz/9\ndFC+vGYExqAzZhi9e4hc2DiKR/gPYU4oRGyuww8/XNdee62qqqr06KOPqre3VwsWLNDixYt16qmn\n6l//9V913XXXBWFSU1Oj+fPn67jjjlNLS4vWr18fQs9Iv2Ae3/Wud+nxxx8PocXZbDbnOEbWkw2J\n8lJWVqbdd99dixYtUm9vr9avXx9ya0tKSlRTU6O6ujo1NTXpoIMOUl1dnbq6utTY2ChJam1t1SGH\nHKJ0Oh08apOTk2publZlZaX22msvbdiwQTvttJNWrlwZIghqamq0xx57KJlMqq6uTnV1derv79fY\n2Jg6OjrC+PG+Y4icc845+vKXv6xMJqOnnnpKq1at0oEHHqjjjjtOJ598srLZrH7729/qoYceUjab\n1dvf/nZ9+MMfVklJSSg+tmLFCs2ZM0eHHHKIFi5cqGw2q4cfflg33XSTuru7lUxO5xKT5oDh5YKA\n74jSaGxs1MEHH6yjjjpKL7zwgn7+858rm82qoaFBc+fOVWtrqxYsWKCenh7tvPPOAeypr6/X+eef\nr3POOUdtbW266667VFRUpJ133lkXXXSRzjrrLJ122mk5ERmO8Dq98hkeN/dmTExM5EQnh/T1AAAg\nAElEQVTfYFTCV1wZc++5K2GTk5OhuOX/hpfiL9X+HLwYRd6Nw3gtstlsKFLoxdXY4wMDA+rp6VF5\nebmqq6uD0uHrlc1O15aBR/Hs8fHxENI3NDQUwFYiCujb4OCg+vv7Q10WisyNjIxoYGAgAGeej4/B\nBcABgJfNZkO1ey/Gi6FJoT/mhuiDbDYbQuml6WgYTjZAoXYD3JsrJfkArvg7KRdYiKMD/FSFRCKh\nwcFBDQwMhKgP0uhYUwxlFDRJIV2D7zDQeT+82mu+YDBiuBPxwXXMPT8ofHwPTZGuwF7t7+9XT0+P\nKioqQjRbJjMVlkq9CorLutE/NDQUeLfTM7SaSCTCXLlxxPejo6MhDaanp0d9fX0hfQcwFlomxHh4\neFiVlZWBbvv7+zU6OhruYd0wrqAjN3igCcAND+GPU60A7Xp7ezUwMJAjz6FP5olxQg/Mj48fWorp\n0+fMaSemU8A0B3uk6doTrNPIyEiISkCBHh0dDelDVVVVymazod9vtPZa+TBzAs0WMhKl3LoiDmC5\np76QoZTP4+ugEbTK5w4exs/CiSBNF6llDBR59lowbqC6nkpj/ztAgiENPTr46aB/ofn635Lt3rex\nsTENDAwE3gUw6tFc9NkNdtdl4j03Ez04QOo8j3fEzYEA9j/rAxDMswDjPSWAMXiEiNNfDEDGwEkM\nIDhP8TmEb9BP7nVaJYoRPcQjE+if2zgORuSbV6cZnpXv2pg35nNAcQ/rj4xGV/jfdljNtBcclJEK\n84+4vaZjHF9tY2GTyaQeffRRvf/979dPfvITzZ07VwcffLDe+9736tprr9Uf/vAHffCDH9Quu+yi\nG264Qa2trbr44ovV0dGh8fFxXXzxxbr88sv1nve8R+9///u1884764orrtAXvvAFvfOd79RvfvOb\nYCA4M1u9erXOOeccjYyM6PLLL9fBBx+sK664Qrfccot22203XX/99ZKmJu+pp57S+vXrdeSRR6qz\ns1Of/OQntXnzZo2Ojur666/XTTfdpDlz5uiee+7Rb37zG/30pz/V4OCgli1bpqamJt122216+umn\ndcEFF2hgYEDFxcXadddd9W//9m9avHixnn/+eV1++eWamJjQ8uXLtW7dOv3sZz9TUVGRzjzzTK1b\nty4g/ZWVlfrSl76kE088MaCw0jQg48wZ5YWxoxR6WBy56NwDg8doSyancpEcrXzb296mG264QUND\nQ/rgBz+oZ599NniFd9llF33/+9/XxRdfrJGREd18880aGxvTqlWrtGbNGnV2dmrZsmX6yle+ogce\neCAoQ3h3Fi9erO985ztBmGLg+UaOBQrCaevWrfr0pz+tQw45RC+++KLOOussdXZ2BtCkp6dHX/rS\nl1ReXq4LL7xQp512mu6//3794he/UDqd1gUXXKCjjjpKK1as0Hnnnaeuri4VFxfr61//uv74xz/q\niiuu0KWXXqpHH300hLOm02ldeOGFWrZsmSTpox/9qD772c/q7LPP1nPPPRfCZTFciouLNXv2bB16\n6KH6yle+ohdeeEGf+9zntGrVqqAU19bW6otf/KJOOOGEkFfb3d2t//iP/9DBBx+shQsX6oILLtCd\nd96poaEh3XvvvXr++ed1xx13qKqqSpdeeqna29tDOD/AC2HicYoAxhJK7bXXXqsXXnhBN998s6qq\nqrRkyRI9/fTTSqfTWrt2rU4//XS9+c1v1p133qnly5frwQcf1PDwsKqqqvTFL35RH//4x3X77bdr\n2bJlam9vD8rE0UcfrSuvvFIPPPCAjjrqKK1bty7HEIAfuIHvAtZTFWIhhXBxpBz6j0/KgKFjMMRK\nmSs0O0JzpQ8FB0OE5oqCe1WSyWQ4nhGFLplMhqr6nmftQCaAIGvEtYBArAWf4xEDMPDaHe4pQIlA\nUMPvR0ZG1NfXFyrP+2kJo6Oj6u/vV3FxcTBOea/nADNeV6IAEegLkRGuKLvX2pW62DMTA1+uqHG/\ny01purghUVzwRtbRTwMgNJb7WBvAYQxB1ph1Zl/5sY2uzLunmzoDyBunET+NAM+8pGBE+gkgXV1d\nAUzyyBg/YpK1HBgYCP0GAIJWude97W7o+Dp4jSVyuAGyqINRUlKioaEhdXd3q7e3NxgyzCNAFumM\n0K5705hPl8/0i0gSD8MltSP2FvIewF9AYkASp2XACWjDUymQAdChzyNRIzT2GvTjhoTrHHF6EQAT\n+8Fp0IvsVlZWamBgIKcg9Y7SnDe4cZ/vGkkvWzfmMI5y8aLRDgLkM5xohYzOfJ5g+hF7qNF3PArB\nPdqAAw6OeV20OBrGdYO4n/nG5MDYTCDD9jbn1YUMT3+He5jZS16PJu6Pj83BA+9/oeZAQD7QOd9Y\n8kUd8C7060wmE06mwfDlGmS59zemj+1pzgPjH58r5ChzyHxXVlaG4vbwdL/HxxQDF4XoIR/AVmgO\nXTb7PPp+Qp+C73oK8bb23fYCYIWu2xbI5tfFjrftqevwusSKOSEiXCGMdDqtc889VwsWLAiItIcz\nunBlYo466ijtu+++WrFihVasWKGuri4dc8wxamhoCMIIBjU5Oal0Oq3+/v4QmprJZNTb2xsMHgxb\nz3+FCFEaXZmVFApDMR6ug2GCSI6Ojmr16tW65ppr9Pzzz+vv//7vVVdXp6KiIqXTabW3t+d41zo7\nO8PG6enpCV5599riTUMxd5QPFM+Nbc+v87BLmAIgQiKRCEp9cXGx6uvr9bnPfU6VlZW69NJL9bvf\n/U4DAwPBY/Tss8/qy1/+soaHh3XmmWeqqakpFJzCAzg2NhaiC9LpdEBre3t7tXHjRqXTaQ0ODiqb\nzQam4LmczqhdqZKmCmx1dHSEQmfJZFKHHnqo7r//fl1xxRXhHPrddttNW7du1cqVK0N4LUxwcHBQ\nvb29gS4mJibU19cXhKKHgErT3jK8aJKC57KzszNUvUaBPumkk/S5z31O3d3d+sxnPqMVK1aoo6ND\n/f39amtr0wsvvKCvf/3rWrNmTbgXWqSmRn9/f/AEk8/LXuJsdbxZjnSiwCcSiaBsepE79hcKZHt7\nuw499FCdfPLJamlpCZ4vvqcPiURCBx10kM4880ytXLlSX/rSl7Ru3Tr19vZqcHBQQ0NDevDBB/Wf\n//mfamxs1DHHHJNTw8AVBdYWxRUFxXPfoNNYgEnTihT07GADUUMwSg+ZpS87WmP/w99YW4SeK63w\nEPgiPMaBMj8ZgEgE9npvb6/6+vqCYY63nugmUhDc4wDfoI/uPXVeAA2xD5z3EhaKsULhPQrW4T3G\n+wnPhLcXFU2dEFFXV6dUKqWqqqpQc6S/vz/wdkk5Ff/pLzQO/cUGNSCKK+SMyxUmr7nAOAHB3MPF\nfsAI9joXDjBkMtN1L+gTRiOgCxEazEcM3kEPyAm8kqwfxTK9uFZR0VRdoWRyOsUBY0eaPsaTzygs\n5sCDlBvKj6cKunXPkOf0Is+ZO6+Xwhy696u/vz9HX/AoE2iJ9fY1pfl72DPx/HmURgwCAXjFnn9P\nW5GmT2Zg3QFWaFzHfvAUF3gm/MANHWQFY3P6ZP9Tr4HCZ0SDxuAI15Guwvh5FgU9m5ubt495/RU1\np5lCAILrP/CDGIRyucb+8z3jezx+ZxyJ4kaJP5/moGfcb2jKjSyXwzT65yCY1yFxZ5E0bbzG6UF+\njfeX62NP9ytt8f3x3x6xk0gkcvYedJ9vH/uzXK+Px1Ponvgz5rvQejq90HyOuI418j4z5+hXr8aD\n7sa5yzSXbfy4QxQ+i+3idOD05EdOu17o/xeihXx0EgN6hQxqXy8Hr5CHzu88CsXtl0Lz9Wro1vdL\noe9mek++VNR87XUBEFDsJQWhh4Jz6623qq6uTl/72tfU0NCgVCqVg9o4elNcXKyWlhbtv//+ymaz\nuueee7R27Vo9+OCD2nPPPfWWt7wlhxml02l1dnaGM7Ap1kTYIwYiSgkKDp4IR95RcBCOcfgvG6C4\nuDiE7zpz2H///UOROZhNLFzHxsZUW1urk08+WV/4wheUyWT0la98Rfvuu68uvvji4FVOJKYKMDoD\nYHOhALixjWBB0aM5cceFzCoqKrTXXnvpsMMO0xNPPKE77rhD6XQ6vI+5efzxx/Xwww9rv/320/77\n758j6BAqzc3NKikp0eGHH67/9//+n2pra5VMJvXEE0/oyCOP1C9/+csAekjTXiz+9wrb0A1KqoNM\nhxxyiJYsWaK3vvWtOumkk7Rw4UKNj4+rrq4uADIYDBQK7Ovry0HAk8lkqJfhpwmgPKGMQTOTk5NB\n6WYNAJaqqqp05JFHarfddtONN96o3/zmNwEQQokeHx/X+vXr9eUvf1nf/e53NTg4GAq7ocAPDAyE\noovO1GnMSYzuohwCErEHnVn4et11111as2aNPvWpT+mUU04JXgW8jG1tbQGYO+WUU5RKpfS9730v\ngBr+3nQ6rRtuuEE9PT06++yzc86VZ57dMEShd2OSPeaouRd8gybcs+Fhg9CLe16dLmdi5H+tzb2k\n0IeHXUq5Xglp2njByOrt7VU6nQ4FbKkNQPV8Pu/q6lJHR4e6u7sDUAgABTgLaCYpx7Dnfe75pP8Y\nkNAH/BklhzB7j/JpbGxUQ0ODamtrlUgkAsjR09OT0zeA2aqqKlVVVeUU3ctmsznGYTKZDGlNyDWP\n2CAcHoMdw5Z5jRWYycnJnLz+2GPMe7keHoQccsPei+4BPsDbqO3AXsCQj2sLxJFC9BEQmHo+XsdA\nUs7xkgAeRAZ5hW1fz0QiEU7SYE457QC69FB+Ik5oyGQHW5gDN9b9OFivWcGaEPXA+OFHFRUVIS2u\ntrY29K+ysjIHRCAqwfWGWKmlT8wP1/laesoIdO4nYpAGSCSM5w4zTsAbj0iQlOMt9pQQeKdHHLHu\nvA+dqb+/P6TuAeRQMKyiokJVVVUBsONdnCBCJf6ioiLV1NTskBEIMaCSz1CJvcVudLlDBR4lKaRa\nIk9ZB1JsHVyjcW0+48GNuhiAcN7segTf8w7Git5K/6CbyspKScrhN/6MOIotBlP8Wo8C8O/dmN6e\nFvPp+Dvmy3Vh9zKj23vUiN/PXo1lwUx/xw16kHJP94nHAE90ozjWf5w3wLM4cYkjWOM0hO0BPlgT\nB5rcQVRojA4O8780zduIgKuurg76epwOVIgWvMXfxQCCz49Hu/p+ceeuO62YM0/rgXbjdfJnbQ+N\n0g//35vTr9Ml9zh4zbMKAV7eXrcUhlQqpb6+vpcpQevXr9ftt9+uM844Q6eccopuuOGGHGMXRQSC\nOvTQQ9Xa2qqVK1fqySef1MDAgG655RadeOKJOuCAA/Tggw+GZ2/dulVnnHFGCFWuqKgIOe5NTU3K\nZrNatWqVjjvuOPX19WlsbCwwYhQl+uqbjUrNg4ODOcovi8ARURMTE2ppadGHP/xhnXHGGUomkzr/\n/PPV29sbnoOSmkwmtddee2nu3LlaunSpxsbG9K1vfUvpdDooj84gUd58EyLcPY/IGRUbg1oHGN6E\nkuKJwjOwzz77qLKyUitWrNDw8HB4Hu9JJqfCFx988EH93d/9nfbcc0898sgjAUAhJL+1tVXvfOc7\ntWTJEi1YsEC33HJL8JZt2LDhZYIDZcb77GMkcqC4uFirVq3SO97xDrW0tOiwww7Tvvvuq82bN4d6\nGYODg5o/f75uvPFG/epXvwqhvZya0djYqDe/+c2Spo9fPOCAAwLdedV4N24lhZMdMGYQpnj6SktL\ntfvuuyuTyeixxx7L6b80XbxoYGBADz/8cM5pFkVFRaqurpYkvelNbwqe3lQqpcbGRlVVVQUvaEVF\nhfr6+oJCGDMPDzUjVMmVEzwWHR0duvTSS/Xd735XS5cu1SOPPKKVK1eG52DUlJWVaZ999tFLL72k\nJ598Ur29veGd7n166aWX9Nxzz+nQQw9Vc3NzAE/c2wX9ubLuIfCsOxEisQeGnD0P+4WWmAtn2B5x\nQZjZjtQ8BJ85dcUAjyVCkUJ7biDhCWa/cJzjLrvsonQ6HZ4JCJBMJgMo5rnvsQIq5SqsgFepVEqZ\nTCZEFOEdRlGjKG5VVVWOR9qjI1KplBKJqaNZiRYYGRlROp0OAJsDsfAu57mE6rvARbkaGBgIhRqZ\nV7wogA8Yf/kUWxQ6UhHGxqZOXIHXUkiUNQEQJyKgvLxcNTU14VhLjMTi4uLAa+mTpBwjkSrR9N89\n1d43lA0AJeraADACDACgYmT4cXOE7AP+Mg7Pw4b/o/jST5RH/gd08AKL9APejZfT17eysjLUf3BH\nACCQe0Xh5Q6uYTDQDwc0XYl1EC5uzKPvAcACxoFx4rwS3sepD6QAsAaSQgpdeXm5KioqVFdXF0Bo\noifKy8sDzVLPIlbyae6JZn2k3MKWDj74SSHc4ylT0A9ytbu7O+8c/TW3fIa8N9beDZE4IkCaXiv2\nSX19vfbcc0899thjIUII+oXW3LnkKQb5+uIOCfY0/XB9BQAMfu/0w16Xpgqb8xl6CHzKgX+fm9gQ\nymfgeX997zj/iA3pmZrPD/d7JLTrqLFuDi918NCdIhjpPiZ3rsTgTjx2/y6OCvF+IkPZd35dvN8d\njPIoIR9D/B7v20zpDA6S+XXMmYMWNGRFDLChu/FZvqKL+Vohw9jl8Ex05XTP+FmvmN48apL9EKf+\nxHQJLbFPt7cV4iHxmiH78u0HSS/rV6H2ugAIbvC512NyclJtbW164okndPTRR+uf//mf9dhjjwWF\nFaHOIldXV+uEE05QT0+PHn300WAgbNy4Uc8//7ze/e5368Ybb9TmzZsD8b300kuSFEJXMWJQlkZH\nR7Vu3bqcRUD4sbDUHPBjxqTpjYFRRZjm4sWLdfTRRwdFpKSkRI888oiWL1+ue++9NygOyWRSs2bN\nCtdcffXVQelYt25dKELU398fFDEUSt7v547DyGDGMEsUahRZNiEGGwoUofd475ifxx9/PAgPlDje\nOzExoeeffz5EL5COkUgk1NDQoOLiYl188cWBYZELD2E7Q8fw5DtXymCWGC1EcmBkNDQ06PDDD1dz\nc7NuuukmnXTSSTr++OO1du3acLQg6wgAVFRUpBNOOEGLFy/OERQu/ABWmDP6kkgkQl7u3Llz1d3d\nHcYOrUvT+VA9PT0aGhrKyY3jmmQyGQyyiYmJQDcYx1/96leDMovCBnjj0TEYCC7cYrTbGSFMDYY1\nNDSk5cuXa/ny5TrmmGN0/vnn66yzzgqIKsZKIpFQVVWVNm3aFFIo/LkUNx0dHdVvf/tbHXTQQYFu\nWEf6gzJJg9k6bThjiz0irqS7oiIpGBA+P3y/PULnr7ERUk8IdiKRCMcVOrCWSEyndXHONdEvXvSw\nurpaCxYs0AEHHKC/+Zu/0cTEhLZs2aLi4uIAyqZSKVVXV2vOnDnhCFJyxilKR1/Gx6ePMJ2cnFRN\nTY06Ozs1Pj4ejCb4XENDg4qKitTQ0KDGxka96U1vCudCUxNEmuLPtbW14bOOjo7QJ05vwCjjufPm\nzVNVVVXwIEBvg4ODwSBGHoyOjqq9vT3UneGd7GNokKinGNRyT1E2O5XK1dfXp9ra2nDknaRgEHJE\nHzKsrKxMra2tKisr08DAQDgquba2VpJyCh7W1taGU2tQtglHJzWjr68vJ68dfufeC1KhhoaGQsqB\nAxnwR3ghsqW4uFizZs0KYetVVVWqqanRxMREKEqbSqWUzU4dMdvV1aVUKqWmpqYc4ArFraGhQdXV\n1TnpKh49QN98DWtqakKfGCeerNLSUtXV1QV6p8jixMSEKisrg1e9qqoq9FeSmpubVV9fHxRIj+6D\nl3ukD8oiBn3soEilUmH9Jam2tlYDAwNhzlpaWoInH5ocHx8PKW+ZTEb19fVqbGxUbW1tTlQkNN/Z\n2RmKQzrfzOe9BcSCt7tC6tGZAFIuu4k0IrIIuuF0JI+m21EaNIy881QXT/1gXgHFaK4/Ycgnk0kd\ne+yxOu+883TuuefqkUceUXd3d9h3yG9JAUglejL2LqNrYFDCB73OiMtQUtSSyaRmz56tiooKbd68\nOYC4yGr2dyaT0YYNG4IcccMFsERS0O1wbsFXHHhmDtGRXHenxSDE9jT2KqlFUm7+PzzcnR/0A1AM\nkJvnOMCIbEAeoPd4dN1MBp2PHX0fWpKmHZREfqFLeURWUVFRONGLArfovFVVVYE3EaHHXMb6E+CD\n0w5GtYPBscOGcccgJVEG9MOj8+DdOA+I+obvOo9zgCGey3x6JXTi/1NwGD2dKD+cX/X19WFuh4eH\n1d/f/zJHl6Sgm/ihAtAL8tHBpXh+Y9rdFi27DeXXxzo4QJFHxxdqr1sEgjMejDdpykDt7e3V008/\nrcWLF2ufffbRs88+GxQCjNCxsTE1NTVpp512CguIoK+oqFA6ndYBBxyghoYGtbW1BQ+CexmdUbNI\nvlE9FJENIU0bNRjgDhy4VxkFBsMPAGRiYkJ33nln8OQ7Q+ru7g5E9uSTTyqbzerAAw8Mlcd5tntZ\nCRv1EEyEOmNE+HM/DAxU0g1H5ol+OGotTXvaYQJOzBgV2Ww2KA58BsK8du1ajY+Pa+7cucFgwfhH\nQXVQI0agGRNMBsZXVlamdDodxo0y96c//Ulbt27V3Llzg+fRo0nIa52cnAzgU09PTzCgysvLdeCB\nBwZmRcioG/6ZTCYn1WBiYqr6NUxdUmBizBN9d28d9yO4fezQ5osvvqju7m6NjIyorq5OZWVlWrBg\nQQjhgmk683HE1YEHBxbc+yxNhzU9/vjj2mOPPfSWt7xFNTU1YR09GgfagS7do8L4PfeSNXMh58a/\nG1XuwfNnutB2tJhn4A0gtJcQ9hg5pu2IIALgJYq8KykYmXibXDH1kG+eQbQS+8LpEB7jHlsACfhF\n7H2Xcj0PbljDt4gc8DQMDy/kfYR7e10A+ACGM4oIz/HICJQo5gFDE4XHizO6Agz4jLHlCnjsQXQP\nTrxf/ZQRGrwVJRowHGWUMbEXeSfPgh+59wvDmuczHuYi7jP0Qt8In+dzV4ZcGQNQpF/Qi9cdYt4x\nrtw7z7M81J+1g6fEdIQHlnWDx0Cb0Afry+dc69EF9M9D/RmvP9e9xswxa+3zAa26TOEzwAXfb74n\n8vF4ZCfgmiu3gHVuFKIIuxxywMD3JnzS5TH9pE/ch/HL9UTsuKLO2vm7d7TmBkY+rzP7Hnrz5vPF\ntdAUukgsJ52ePRIkbjEfcsA+bg7Ix2Pxe+FZvs/QH/KNPeY30Anpp35tDCDQT97vY5/Jw1yo5fOO\nx33lO/ZEPmMP/kFfXF45IMG6bc+ecOAhjsCUlDN2B5ycF6GTelSR69ke6u7vjRvz4DzT16JQ/5Gd\nTkv5rvEf1xMdkPHmep4/a6Z3+F6JnxWDAX5PoTlxYMQjy9yBF+sOzGXcP//9SkEw7on3q//eVuQB\n7XUBECBaBGwsZDdv3qx///d/14EHHqiPf/zjuuCCC4I36KWXXgqhhW9729u06667SpLOO+88LV26\nNHjmMdgPOuggrVmzJhClh97jiZKmvfpsHpRBFpdK4xRDkaa90ShypGSwcVFqb731Vn33u99VTU2N\nTjvtNJ155pk666yzVFJSoo0bN+YYUBizJSUl+uIXv6itW7fqqquuyikEBkpPmDqKkecTS7nHhcVR\nBygWUu6pGCgrnKfOuoyNjSmdTqu0tFSHH3647r333sDISYEAZDnwwANVWVmpLVu2hO8mJ6fy4IeH\nh/XVr35Vv/71r3X++edr//33D+8lZcSZjxuV3kc3cujj5OSknnvuOX3wgx/UokWLNH/+fG3dulV3\n33239thjDx1//PF6+9vfrkQiod/97nfq6ekJ72Suli9fru985zuhGGNJSYne9a536fvf/36omQAI\nhDGFl501d+MCzxz9hXarq6sDTXE6Rz6GxmcAYOPj47rwwgv1y1/+UtKUQrHXXnvp9ttv1/j4uPr6\n+nJAsLKyshxAAtqenJwM4dbkrSIs3GiYmJjQzTffrA0bNuhHP/qRPvGJT+jXv/61ksnps7snJyfV\n09OjffbZR7W1ters7AwnO2QymZxTKA477DCNjIwEoM+VAGdmCIMYHWXtHaTgOtYizj9kX+AddqCK\n94Jge9X9HaENDQ0pnU6rpKQkeG4HBgZUWVmpTGaqCvPo6Ki6urrU1tamnp6eYLQRtZBOp7VlyxZ1\ndnYqlUpp9uzZymQy6u/v1+rVq4Nn03P0UVYBwahJglcBPkC1++bmZlVVVQVPOzSDIcoxjvDx0dFR\npVIpVVZWavPmzero6FBPT4/a2tpUWlqqpqYmFRcXa/Pmzdq4cWOIFoJ+oCmiIuBtpBNQ6FVSKMjo\noGAymQxe46amJjU3NwdAk6Mh8RDna84H8Nr29fVJUvACYVSOjIyou7tb3d3dwVivr68PXprJycmQ\nljA0NKS2tjb19fWFNZ+YmDpRAiC3oqIi8DP3RsSgpCvq8JB0Oh32Ne/Gi4/i2d/fr02bNmnr1q0q\nKytTW1tbMDI3btyo9vZ29fX1qb6+Xu3t7YHHbNq0KRyNy9p0d3erq6srALh+pCQ8r7+/X4ODg0qn\n02FdkOOcUJHJZJROp0P9i76+PhUXF6uuri7QUnV1tYaHh0M9j0wmoy1btmh8fFzV1dVqa2tTR0dH\nOBYUR8fw8LC6u7sDH4wNfqc5aUo/ghcBgBIpNDExofb29nASRDY7FSnT2tqq+vr6EA00Ojqac0wn\nMr24uFhNTU0BsOe51DCAb9M/ZAG8F17JesNXATKQIw6KEIWSyWTCHnf+Q8QEuhM58DtS8zQkpw/m\nm33o9VAckOX6VCoVPMi9vb2677771N7ert///vdBH4CepGlgjZNHHFh3oAc6QJeg0Qe/L5FIhP08\nODiozs7OEMmKh3tiYqo49UsvvaRkMhmOJHUPrOt2Doh1dXVJyu9BdocLPx4BlEwmQ+0HZP32GmLQ\nehzR6boEn7MHsB8K7XX4ULyOvp+2pzFWHGnZ7HRdLRqy3Z2DmUwmRGARbdDV1fxTEOsAACAASURB\nVKWJialUtMbGxhAx1N3dHeRNJpMJTkF3KnAcK3IyNqTpYz4gJgaaADehCcAw5HE2mw3Ri4nE1PHF\nW7duDQCrA67QAPwJZ0A+oMGB3ThlI3Y2Yz9UVlYGvYCIA4/QwAELPXAtID76BWuCUyIfqBfP5ytp\nRGhnMpmcWmX+Tgf/C4Es4Xmv6O1/pgbBEWbHOaP19fUhbHLNmjX6wQ9+oIsuukgnn3yypOmiK4RF\nvetd79Lk5KR+/OMfq7e3NxQg7O3t1e67765jjjlGxx9/fCj4xwS5UTw4OBiEHAuN0QITQ8EifJDN\nivcYw661tTWEz0BcVG7u7u5WW1ubvvGNb2hoaEjnnnuuli1bprVr12rFihXBsBsaGgpMmfs+8pGP\nBCE9a9Ys/exnP5MkHXfccUFpB/CYPXu2dtppJxUXF2vjxo1atWrVy5A59ya5oMAwjr1QKM5r1qxR\nb2+v9t57bzU2Noa0i+Hh4bApKysr9Y53vEMDAwN69tlnA7iRTCbV398fFOZ0Oq0vfelLSqVSIWde\nUjjNAKXREVoIms8hbDak580dccQRKioq0qZNmzQyMqInnnhC73vf+7TvvvsGZuPKj88N4Z2EehFJ\n0djYGPqWyWRycqDLysrU2dmZI9iZPxd8TzzxhI455hgdffTRevLJJ0OxTpRrojV4Z29vr4qLi9XT\n06P+/n41NzeH88ZhZjDUVCqlhoaGEGaFV5jnMl5JQRA4WIBiAmOdO3euysrKNDIyol//+tdavny5\nPvKRjwTB4PlxTzzxhP72b/9W+++/vzZt2hS8ywiMZDKphQsXasGCBVq5cqW6urpyctroBzTpyDjP\n4DtCdV3gutcRWoI+oRMUiBj15/sdrf6BlItyw/dQciSFuZamQzgB9UpKSpRKpcLeQ4kYHh5WW1tb\nUAwJi4cu4SmScvJkydsG/IU+OJ2B8HOABMLKWVN4F2eQuycnlUqFIneeb0/ePvyEPgIyAWZgaKEw\nFRUVhTBQrsXwKikpCfvXK9Mj74gWAISJvY7uHWAMnHRBCgPPr6ioCHUOHNgeGhoKYc+Mh/Vh3crL\ny1VfXx+MOxSt/v7+YACzzwm7pS/SdHFbABuMejye9AfQLpVKKZVKacuWLYH2HMRkzMwfKQTIDEL8\noT2PHmDtoB/ucU83oDhjr6ioCOkyRCeReuGOAf6GZkmdIVwWfuNRD+5NIlIh9qx65IpH/zAWeDT0\nVlFREXg996As+ykgFRUVOSHuzAV6TF1dXZBjgFDOT7254cNcer2LZDKZU7eJezw6En5Bn9zTyLoT\nljwxMRFq/exIrZChwPwjaz2VyH872OBGWDqd1u9+97tgLAMq8j734Dt9xsa568T+vvg6j4rJ97xM\nJhMKVfNOro097R5p4U4k6NX7FnuMPYzf954DcTzjlUQjsGc8bcf1KsbCHvbP8vWXfhAh5Hpu3K+Z\n+sezeHY+jzvzX1paGuQGxw67LubREETsSbn8za/jubFOHo+Vz5GxcUSLR6e6EevREVwL74OfuM3i\nY/XPYm97ofnxdfXGOIgq9LGjm/J/PE/QgK8t84f+4pFDhdavUNuWoR+PDzqjuSwlOg1Z7CnFcXvd\naiCgrLBBUKQ8jP7uu+/Wscceq1NOOSUYiTDCefPm6Z3vfKdWrFihb3/728EzhrAsLS3VD37wA+2/\n//6aN29eQN/c20zxpGQyGTyhjiSiBIyMjGjDhg068MAD1draGrxiKLCHHXaYGhsb9eSTTwZCQfGB\nYbER+/v7dfnll+uQQw7RgQceqBNOOEF/+tOf1NPTE5BbCvXBEMhBzWan8kDnz58fcoMBMCYnJzV3\n7lz97Gc/U0tLixKJhJ555hkde+yxQWAgxF0hgjg8/NObhyytXr1a9957r0499VQdddRR+slPfqLe\n3t4cYOaoo47SO9/5Tj300EN67rnngpctkUgEzwJzy3GXzkhQSAsh4B5V4cYh71i1apVGR0e1zz77\naMuWLVq+fLn6+/v11FNPqbu7W+94xztCXq/nHaL0MfekNGCI029JOZW78cInk0nttNNOAUxIJBIB\n7cfbMzg4qDvvvFP19fVavHix7rjjDq1evTocH8cGbm5u1rnnnqs3v/nN+sQnPhFAFZBlV1pBP1lb\nCnm68HFhD0iAMCCU24Upe8jpbmJiQsuWLdNb3vIWfeQjHwlCgP1x22236WMf+5iWLl2qp556KhhK\nrE1LS4u+8IUvqK6uTjfddFOOd8zX2hUmN6w8ugbhDYNjjAhiaIHoC97B2Bhr7ClDMdiRGjTHfJHi\ngZFSWVkZ6BfBCeBKVWaU/snJyVBbYGJiQj09PSGVyMPSHSTCSKPSvitSnOxAlX282RUVFcGrSTg2\nXl/nvQhuvF7k2zc1NQWPPHsUGsLYrqqqCgp7KpVSa2urqqqq1NvbG9Ls2tragncb47aoqCgnqskV\newrUAQa6Z9fTz6RcT5ZHjcF7+A6Dua6uLvAAvMiAQbwfuvfc/l122SUYlKlUKkSLeMFL9h30Ik3z\nX7yZcVixH7mFAs8pFO3t7WGOMcK5pqhoqlgsuc41NTXBuOSkA+pokP4CyFVZWam6ujo1NTUF8IJ5\nTCaTSqfTgR4cIIAGiouLQ4FN5AB0hGcYA72hoSHUWyCaqrq6OsxlbW1toE03rFEU/W/6wg8AitdC\noF/wN+aSeXfDBb6Idw6QRlJwkLhMcAAIYMKbG0ROqx41CY15pAK8nAgMTmPhxAw/ehM+RCTYjtZi\ng1iaNngA6ohEkl5usLGH4E3McUlJSfCIYpxJucCBv9cjQHk+eiFgrRtZ7FmMevewuuHn/UV/Rt/1\nyIp8RqjPD2k48HwMXze4PCUrfg59Ixe+UJh43BiDe6h9rdwIRJcuZKj6u+hrSUmJWlpagtPQvfA8\nxyM9YoPR95+nXseNZ1A3x2vIuG4tTc05xy5Dg9CHF8yEJjwSDV7JCTwOSACaxHPufecaThBCljEG\nrocve+S5R4lwHXqL00S+NY/Be59r3gso7/2hjz7H8TrPlPrCfew1QJHYHovvi0GRbdExILI/22WS\np6cANs3UXrdjHJ3AETgUoGtoaNDY2Jg6Ozv1gx/8QOPj0xWUYToHH3ywUqmUli9fHpRGCAmv8aOP\nPqqmpiYtWrRIO++8c2DCnL5AMZZEIqGKigrNnTtXNTU1OR4EmPINN9ygsrIy/eu//qt22WUX1dfX\na86cOTrggAP0yU9+Uj09PXrooYc0PDwcvF08v7i4WDvttFMoDtXd3a3vfe97+ulPf6rTTz9de++9\nd9ics2bNCsBBc3OzmpqaVF1dHU4RmDNnTlB0Oa4EQlq0aJFaW1tD3++4446gxDqRYADA/FH2XBih\naPAZhHfllVfq97//vb7zne9oyZIl2n333dXS0qI99thD//AP/6Cvf/3ramtr07e+9a0Qml9cXBzm\nq7i4OIxr3rx5ocCWz7WUq/hJ05vSlWoUL/c4u4L9wgsv6JlnntHQ0JA2b96s3//+94FOiHpAoURJ\nBczi+WVlZaqtrQ3gDdXY3eCqra1VXV2dqqurg4eroaFBra2t4chKFL1f/epXuvjiizU0NKTrrrtO\nRx99tBobG9XU1KRZs2Zp4cKFuvDCC7V06VK1t7eH9aipqQl7h9DobDYbjhPjOjyKzjwBHHzu8Fyh\nrME08KyB8jY2NoZUjI0bN+rSSy8NIYCARplMRps2bdI3v/lNLViwQFdffbX23XdftbS0qLGxUbvs\nsosuuugivfvd79Zdd92lu+66K0S84FnJZqdrZvA+PHd87+slTefeYnR6lXUPUfTCoq6oOaN3MGpH\naq5sIGgxvohuwavsHkUpd/6KioqCkSMpnGjgRjpgqhdIpB6BNCWYKUoHXaKMcUwgioEj97EHCj4w\nNDQUDH7owgtYMX764nUUXGFwT7EXnQStJwwbIBAegqHu0QyE0uPBZd7pC4Y/P+zXRGI6PQoaRgH0\nFCR+UGpQwEhVoU4Cyl1FRUWQJZWVlTkFLOERzIvPGfzR+TBjdCUR0B9vFzTlHtdMJhPAZIBuIiro\nB4Yz73PlPAZiWCciUVxGeDSepwXCVyjEBSg7PDys3t7ecFwk6wZgxNoCbkHrvNcVx3x8BrnsQJ6D\nM8wta886uMeO+WMvxbUMfN4mJiYC6AVtcK+kQK++nxwMgEfwXgemOHaTSBOKkg4PD6unp0cdHR3q\n6OgIIAJOEgB9CvjNpDT/tTY3bqRcjzsGW5ya580NI0+DwAhjX/n1DlA4SAi/g755n0cVxf3N1+gj\nfMQNLvTSOMTf9dR8DfpzHsTnLsvyGaju+fW0xnye5tgD7Q6Y2FjDYI6jjGIj1J2Tcd+IxkI++TOc\nv8Wfe3M9yXmyN+gB3Spfi4EbgBOi1PJ55/Pdiy7na+X3xePxqBD34LuOAZ26Aexz7Hqvvwd+Vqjf\n3o8YeIrtVWSiyzDnk+gSrmvGc0PzOjpxpFocJZCvzTSefOvk0Sax/GZvoS+7Y7dQe10iEFC8Eomp\nY7QuvPDCUFDvsssuU39/vz796U/rvvvu0xNPPKEbbrhBZ511ljKZqXydSy65RMcff7xKSkr0hS98\nQf/4j/+o66+/Xtdcc40mJia077776oc//KF23nlnlZSU6POf/7zOPvtsLVmyRI899pgOOuggffOb\n39SsWbPC0VjLli3Tl7/8Zd155506//zzA9IL4/3FL36hH/zgB/r0pz+te+65R8PDw2publZ5ebm2\nbNmiT33qU1q1apVKS0s1d+5cXX311dptt91UXV2tk08+WYsXL9a9996rJUuWaHh4WI8++qgGBwe1\naNEi/fjHP9bDDz+s9evX6wMf+EDII7r77rvDJodxs9hU12Y+m5ubdfjhh0uaItQ1a9bovvvuC0oc\nTAAFwUOWHC12Dy2fgUpNTk5q5cqVWrp0qZYtW6bPf/7zOuecc9TR0aF58+apsrJSf/zjH/WpT31K\nTz75ZECw3vOe9+j973+/jjnmGBUVFel73/teMBpuvvlmffaznw3entiTwmZCUNB8k0nKyQ/t7e1V\nKpXST37yEz333HNBAP/85z/Xu971Lq1bty4ndPmLX/yizj77bFVVVel973ufjjzySC1atEi9vb26\n/vrr9fa3v10lJSX65je/qUWLFukDH/iAMpmpvOw777xTc+bMCcBBNpvVLbfcEvqWTqf1nve8R2vX\nrpU0dTRib2+vzjvvPF1++eW65pprtGHDBq1du1bNzc2aM2eOampq9KMf/UgXXXSR+vv7dcIJJ2jZ\nsmWaNWuWksmkvv3tb+v222/XV7/6VS1ZskSf+MQngnfquuuu07/8y7/otttuC+GuMAtp+qg8B4gA\nokZHR7XvvvvqsssuU2lpqf7pn/5JH//4x3XbbbfpRz/6kX7729/qv/7rv3TkkUfqpJNOCgyKKI2r\nrrpKRUVFOu+88/Tggw9qzZo1mpyc1OzZs1VWVqa77rpLX/nKV4IhiPKNEMfg95oIAFsufPjfEVT2\naTKZDLTlIePOexAIzAOCYEdUXN2bSH0YPP6kJpFa5UcFYpRnMlN5zb29vcEYIO2muLg45B66t4jI\ngLjIKOACgFtvb2/w2lP7oKKiIqwXhhCpCBhFkkI9ENafM+rJt46NPdKV4IVDQ0NBGSDCgqN6iUzA\n6AXUJpoHkAEQgNQ36p3Ql9hrF3tHmBtoHa/t6OioKisrg2JOSgTRR3hDuJ+wYVKz2HdFRUXq7OwM\nUREOauRr+RQg96CzruTto0hBU3j4MRJRyh28YR2z2WwAPZANXANAhOELIEF9IFJh0DPguQAUAwMD\n4ex5eJGkQNcAT1SjJ2eUKMGenp4gfwGD8LTRR+gQ4MTBt3yKGco+Cj4natBnvqOPGGDsX2pkOGCE\nMspvHCWJxFQ0IPIWgId+uNx3z5TTFEAX64dxCbgC/aO3cA3zBO8hig1Fln7saC32jsapAhSHxoBF\nnruRLilE1GKUQGv5Ihx8LSUF3hJ706Xp4tjojrGRGT8fme5AlL/PAWQ3DAE3+T/2cpMKGqfHOCjt\noAT7KjZAiagAbI3BgnwefviV89UYFHBQxg1g1tjn3Z87Ojoa6rtsK+/dW75+8nmsI/E9stfTMPxZ\n9I/oLvgZsi5+J/OA4xG6QfbH4C1yV8qNhMG4jcfhNONrLCnnZBIcDT5ufy7AbKHoDH8v73ZgjXGg\nH3kfHSDGXnLbxenQ++XRPD4u+pJP5uYDQvjM+xuDT/lAdJrryH7/tiJyX9ciir6gPT09khSK6RCW\nODo6qkceeURve9vbAiMtKSkJYXGEn+JFxzDBA8axcihVhNZQ0MtzUxzVgkEw8SMjI1q+fLl23XVX\nHX300dp55501MTGhzs5O/fCHP9QzzzyTk4ff1dWVcy5zNjt1vjHjHhwc1IsvvqjHH39cCxcuVCYz\ndYzSwMBACPEsLi5WZWWl+vr6AmNFELe3t+eEiC9cuFC77bZbeP769etzihvCKGG8volgrI6MshFg\nCtL0Rlm7dq2uvPJKlZaWar/99tPuu++u0dGp4y+vueYa/fGPfwzPQBlvb28PedF4dtyARNHMt2El\nhXAzZ+AuZGEQ/f39euihh3TYYYfpueeeC+G4xcXFevbZZ/W73/1OTz/9dFAOi4qmilGiMBYXF6ur\nqysw2q6uLvX29mpkZCQUAsJIqKqqUldXVzhCq7+/P8w3c+81DhjD2NiYnnvuOV133XU6/fTT1dra\nqrlz5wY6vf/++3X99dcH2iUntKurKzAjL3ZFAazx8fEQSo4CGzMTFA+MZ+je1wtlJZVKqaenJyj0\niURCAwMDuuOOO7Tbbrtp48aNAY1lXe6++261trbq1FNPDfSYTCZ144036sorr9SLL74YwmVdEWHf\nuzecdXe6YF86w+Y7IieoDxErMIzPGTyMFAVjR23wQOcLhN1jGHgUEPPqnheEJOg7ilE+FBxexDWE\n/ePl8KiH+D2+pvmuZTx44P0+N8QZh3tcPSoAecE+BmShj4wBvuS5mw5U8V6PCHBDkrn31A5vsfIX\n5y27QuCKAfTMXACsudLrocAzeTzyeTP4zBUU9lSsrPEu/o69Op7ewpiYd2RE7PHhen7gKSg9rB9z\n7s8lasl5AGuEd8n7AjBDX+kv4AUGSWxYxcrk9swtfWScrN/AwEAOfUCjgKyx18vH6/McR2FxH8+L\njSnkJO/kt4Mevj+RLR4h4aHSbqCy9wB8pB2zFk1sjHhznajQfVzna+fPKkR/3OM6lRu83i/nZ9vz\nvEKfx3qd9zU2gB184D70dNcT8xnC+d7PuKRpvTdffwsZbv68Qvs63zP9Ot8XfAc/KxTmvj2N58Tz\nxXcuR9zTHRuqvs7Op9Ft8xngPmZ4kofj+5rAO5j/fABIvufG6+syFtqNgZxCz93WPMb0ELd80QUx\nCBjPqf+drz/xHi8EIPBdoRbve99T8XvyXTfTerzsXdlXS62vskFgKFke6klXQMg8nMUFJTkomcxU\nGDQGHkZpaWlpqCIOsaM4UoiK4lYuYHkvilYmkwkIPxuC854xEP1MYxaGglFeB4HN1NPTk5OSQR2G\nbHbK40JVbEkhbBaDMQ73Qilsbm7WiSeeqHPOOSecD33ffffpkksuUUdHh8bHx5VKpUJuP8oOTBAl\nGiUMAe4hYhgRMDjylhsaGlRWVhZAjpGRkWD44rWg9gEosRtyeDZRQtzAjRuKuoeuMxcoIkVFRSHN\ngCJnoJ6sH14OQuXxRtbU1ASvHPNdVVWl2traoHi5B4zz0wkBholAB9AcVW09n4hnk1NLTm8mkwle\nN5g8Rb8YYyaT0f/H3puHyV3V+f7vqt67q6rXdHcIwbAYTVhlrguLCA4qoqOoCAIK6IPOqIPIsIhx\nrgw8KF5HUBGuMjNmxoXB0UGNOjICsoMKUSEsWYAkJOnuJL13VXd6q6rfH31fp991qO4kiheu/M7z\n9NPdVd/lLJ/zWd6f5QwPD5fQCDSEJ47TGJjnWDA7Ak6eLoAEFeoBEDwyAODCkWk3hBKJmaiiVCql\nBQsWlIBO0B7Myg2mGKGNBRIAV+yBcSUCTy905KHJ8bU0QDnmdXfK/p9TSyQSOvzww0P+NufMsyfj\n0D+8qeR4wxvJbS4Wi6EuC95FwuQxBokWwNM7OTmpTCajffbZJxxJKikUYuzr69Pw8LCmpmaK1C5e\nvDj0yfMx8aKSfw9/YxwoFxScxbvCfqeyNw05ks/P5GR7jQHoJJfLBa80qQDwc/h7Q0ND4Ok7duzQ\nwMCAurq6ND09HSqmE+rtoauAFXg7MF5Jc1uwYEHwNBINgdcZsNzTIPDsV1ZWhlSrdDqttrY2FYvF\nMHd+lCEN/kQf2T/IPwBY+Exzc7NaWlqCQU/hR7zPvb29GhgYCI4CigOyX+Hb7e3tampqKuFXyJba\n2tpAd0R0VFRUaN9999WSJUuCQ2F8fFxdXV3h2snJSdXX1wd6c2UeQ5fzz+G/pBfCH1kTL2bp9UEK\nhYKam5slzRSxGx8fD9Ew0BL34fX1mjB1dXVqbGwMjg7nk4DufhIJ6SgAqOxTnodsZ95It+PIXSKI\niDCCnklV8ygTwsSZI4CDqqqqUM2d62mAH4BB8AQPp4Z/k7r04x//+CXFh5Gn5cLb4+ZRSbGRj44R\nR3LyfWzUECVCtJg7clx3gLdVVFQEfjzfeFh/jyDg3a6/xQ1+5SCG6wfl7kEHSyRm051iOY6O64Yt\n+hspHrvz/MfRVsyBAx2xkSzpOd95fRbXm/Dce7/dc4x+6WOi8QxPP0bmxi1+F3InBs+JQoAu5mvM\nLbwSHuQgDeMlBVBSCR8r1xxsYM4cdPJIs7nWz+cPHibpOSknXBuDo7s1og1UKac/+vO8uUPGwTvv\nA2OeC0D0PvCzJzqs9zd+xt4AMC9IBAJFLhKJRCAyCm7RHBEnvBTmQjgrxgzoOxvDz/lG0fRJRaAR\nQgvjdo8NxOMeIpgn3t4YtWHhp6amNDw8XLIR8Tx70UKEtzTrLcpms6ESNEowSjsKB++pra1VOp3W\nySefrDe96U3auHGjWltbtWXLFv3yl78Myq00s1EJ82Yz06qqZk8TkErzh9xT5sXGiCLo6ekJ849x\nx5wx7xw3JSmEg/JsFKNEYiYM2L3BAATFYjF4y/FE0Q9+s/nwCrEBHeUtFGYrABNNgAemUCiEEF43\n9guFgnbu3FkydwAZFEKrrKwM+ZuARfTJ+8ia4hlD4a+urlZPT094PgyV4mQo6C6AERKu8MNQARL8\n/b6uzqjcQGdee3p6SoAjxosx5kfigEpLs4x6eHhYg4OD2rFjRwnzZk/DNB3gc4bmexUggGtcgDuY\nxjryHeNHCYLv8G6e5/TxUmxxwSUAP/YbtMVcQXsYk+ylTCZTNmRami30CQ/zAla+3gBhAFq8y2t2\nTE1NhTBsN2ZZc/dswNNRangnoAORScXiTBoPSpDvjZjnuKcfHgwIzTV4nePjEDEWXWmQ5vbuI+/i\n6LHR0dFQs4B5AFBnf8CjUZgZO2tHvQpkinvVff08R9KbGyWulPl6st5+qgY8yU/lAJyGVuC9gEmu\nNPJMfrg+9pYxd55GQpobIf6cjOHOCSIN/FQBrwuQTCZDOgu81fUET1+B/uJQ6dgb5bTg81tRMZsW\n5/Ua3JBHyXc+yTt5D0BYPp8P17IenmbiBWljvuDr6joN4/caDj5OB2bZH6SkULiTqErm7qUYgVAu\n6qiccRMb1rG3EN2jnDEB33GDNnZ68J6YJuE/7Cs3alzG87ucN9X1vvnmIfaO83suGR3rIeUiavmc\nd8SG+Z40H8N8xlY8xhgQ4Htfm9iB4u/Y3fjj/sV6Z7n75oo04TnwC2TZ7hrXePopY2BssayGLzqA\nsDtacsAFnc/H6vf6M2M6er71vfmMdge+5upnvE/nop+52nxrHTfnD7ybZ8T0t7vnvSAAAqHx/CYq\nQFJggNLswCgw4oYBXnQMJ1BNQAU3Zt2wQInivhi1ol8YYwhaDE43wuinF5rxcF7uxejiGgoYskm9\n0j+AAfeg2DA2Pvf+rFq1Sj/84Q9VVVWltrY2ZbNZdXd3h+qpgBo8n+YbjzO0UUJpbsgRxo9H2pUG\nlArG7wqZK8BxGC2Ki4cE806M8VjRdiUjDtn0vzEoEKw8x41LrvW5hm7wAEFLCFCvKcHfKOmsnTOq\nODSezz3yBZqjD4AMjtwyZ6CteMW8oAu05+90pQ4lkjkk5cf3AtfilWCvACBB+/4Z8+H98L9R0tnD\nGDIejsgedtqEzmK0nut8f/Dbw3BdQNNHp03v+0uxOa91vgofJDrIj/5yAYSRU1NTEwoJQs/U4Ijr\nuLhxzP4tZ1x5iLOk4GnHCOIajEinJcaCAY5RhyGDoei8zCO+pFnD1YEmqVQh8OgG92QnEomSYwI9\nyoeTZqBZV+She97noBmfEeXlhiTyk/95NuNE1sKvKWpZzlDwEH83RFzmMQ/0MQYQpqenQ00LDE3A\nCacFjxxjHjDqYxCW+wBF4Cu820FjxplIJAK4gocdAAE56h5zTm6JacxBUq/07cDy9PR0AI2YL+aE\ne2NPaqxoO02wTnzv6RUAd9BUIpEoOW2pWJw975zi0cgM9iSAkfM/l+VO6zyTtXU6YYw+FgcgWKM4\nxYNxVlZWhmg8+MZLrZVT1Mt5CVmbuRR7eAg06+AY6xbv4RhAkErrJLh8lWblceyVjg01lxPzGSLl\nDOX4+rnuLyfn4/dBj9gFzBPAlc/HfM375vvV5zQGeeIx+r4qN/5y189l8O6OBsp9P5fxOtdz98bY\ndv4QG8z+DI82dnlVro/lQI5ygEA5u8b/jsc03xj8OfGz/JpystBbPG7vc/zO+cCHPQUF9uR7p+Hd\n7ck9aS9YBAKLjnAiRxGlwA1wmiuZGCMeXYABg9HuipErIkQ9SKWbFyUgNnoRzoT88b30XC9moVAI\n17nBWiwWSzwx/m5X0Dx8SyoN90II8G48CORGTk9Pq7u7u4SZIpQpuoWhRn0v4AAAIABJREFU6/Mo\nzSKHCJsYNWTdYLo8n/F78R3AF5QZ5sYVY1f88Mq5YcgYUP5ocZhfOWHhTIu/vWCZXwdw4tcz57wL\n76UruIzbq8W7ksVzfI6Z/1ixYm5dGfX8sXKovyuo3if66Qqhew5YQ6+EHnsGUPTcGPeQSYwgUn48\ndx1llP5ynz+P/e60Ehv3TjOML36OC2+nnRix9r8BuXxcbhi/1BoGHCGZbmiyjpWVlaFmjJ92w9ph\nUKFUsk5cQ+qCG0hSqbFCrjrr4UaNG2jZbLbE6+yRCtQYcAXGQQvomn1CyL6kENVA878djHB54eMk\nmgGDmWcwJ15vB1qFn7tCJc0abZ4/77JsYmJCQ0NDyudn06AASfibaAeMdvaK71MHPph359Fc49EV\nbhi44RGDltwD73T64l5+x/vPZTeyivWMwRTnr9CthyMD5CB3SU1z3gV9QVf19fUqFmej6lgTjBDe\n53UVHEhiXX39XBH27+Lw1FgBd1lBJIHrSn4fMovnsUfYo/5O+uARNb43nQ7oh+/J+H54Aqk8ceol\nzyR9AbnJM3gOEXUvtebgeGwUxUYMum/c/F72l+8laKSc4eCf+54uZ0wC2jp9x7LTjWz+L9dXWtzH\nvWlubHs9G/8tzRqurt9yfzngYXfNZVc5HTRurIXz0NiYK3dvDLDM12K+MJcRu6ftD7neeVrMR6RZ\nHufgMZ873cQA++7mYG/Xb65nzPV/ubmci765fk/Wbb71LvfeufpdDtCI92AsM3bXp929+wUBEFAs\n3WiSSqtSutHDdygTrkTEnklXzrg+NqxcOGOYoGiB2MJQYDqSQp/8b96PRyD2YvsYXFnjexRyUPhE\nIhHqCTh4wBzExicGEd85ECHNCmgHLeIqt3ihJT2n76wPfcCgJnfcjTEXXh6RgHLsXibWCoUypgHm\n38GTeP3KhT/5+qDssUaMxz1OXrgPkIcoFvrgz0cRdUHuoA9j8XnwPsI83RBjPVkvnkPUjf/ERgZj\nhVb9t6PXroDTD9bDjUjWxEE+3kFNBK6nEi0KLfPjII0bI3hiWUf2P9e49ywGkBz8Ye86vbsS4TzA\nQYnY08raeUrVS6254oShC2+WVKLow0uIsqmurg7HLmIoArqxrk6vkoLnG5CMNcDzCF1UVFSE3Hvo\ngtS1ZDJZUs0do93XUiqldf6n39ACfXDAjd8uN5y2YnCOsToPxYjM5XLK5/MhxcmrQTsPd4OZufY5\ndHrHg04ERUNDQ8nJA3jAnbfSV/o5Pj4e5ADGqRv28G03Ery/zKsD0u7NA6REPsDXnZczVw4I+z73\niCR/H/e7V5FxuWHgnnQ/t9vTc5gznzvuAzRz/uL7wOmFsThIzA/yhu/YYw7ceWSB8ztoD5p1uc56\nuExlHwEu0SeiQRzMgR7ok8uecjnFrrt435CD7ghgzMhy1tmjOH3+GA9z8f+3WYcZjTl0unLZLs0C\nPQ4gzGcEuIHmRrcDdL528AH2igPGbhSXe4e3WFePx7qnzUEP+Go5Q8/1dOaJ980HrHh//Vm+v9Hl\n5vO6+zyUM+pc543XxPvq4Gm5PsYA1FxrEt/3xxrlzr/9f+9XDOR4nSXX+8qBCD6vu+vD7j6jTy6X\n5uprvP9iQGA+ukWPcl1nd82dsK4/+zN9PryP/j/XzfUsn9/52osSQChnnDoyhwAG2XNFh+bGkufi\n+cZ0QcckuAGJkuXh1c6A3TiBkP3IQ2lWSfXfGK/0U5rxVhC6yvdueMLg3EuGkuPCgmd4BAXjdePZ\nlQEfA5EVrAP3wsSKxWJJ/j/jAXXmN/3GcHBgwwEXbxUVFWH+YqHBescML1aCXbGPGabTBvdCP/wf\ngyHMp6SSUytQrOhXXV1dUPygx+rq6mAg+IalobwxPtbDxxFHAcTrSIEqB8XiZ8XCyOmT5nPKvMd0\nT3Pjnv3o+1VSiZJcLM56m31N6Q+0C/1hRHlajYNQgFPunXTmyLPifvO98xMHQpzuYvDB1+Cl1Ah9\npxHBBW00NDSEa4rFYkjp8fXH8+0KLXUykslkyD8HIMWA5W8MITdmPfeelBs/OYV7SYWhfw5AS7OA\nBc+CHlB+iRbD+4whCX1g1NAv6M0LLFKzRpqtGeJh+NIsWM38EMXjZ3/HMkua9Tx7VNDExMRzThDi\nWt7JGPA+E5nhctSVbrzGFEjlHexRXyfnN8gmjhTmczfeGUvMwx04cTAbHsCRdPARBxYYh9eImEsR\nRWZBh8hxScFgdRnPfHB/7JGFj7mhwN+sKbTix3tSaJki0IBirvsAtHqkA+9mrBSIRA4BKrhOw7gd\nqKLP7F/mnCgceK3vF6m0Zg77A/7tz3NaZy3Yo0ToxPRXUVER6N/7/1JrcxkXTsPQJzorPAoa5DMH\nn1z3cz7hn7kTLjb8HHyMAU037mI9JDbKyxmU/P3HAAg8251s5UCQ+NnQmUe/7Ml7Yh3Kxx0bWzEv\n4j2xvuatHA9zsHI+Y86v3Zu2N4b3fM/w8fhvN2SdbpyvlHuW65euH+/pGCQ9h9+w7j7H8XNi0Nqf\n5b/L0ba32JHnz4l1ZH+ffx/T5VxrFT8/fpfbTeXu8eZ9292+mBdA+NCHPqT/+q//Unt7ux577DFJ\n0sDAgE4//XQ9++yzWrJkib7//e+rqalJknT11Vdr5cqVqqio0HXXXac3v/nNZZ/b0NAQvJeupEFc\nLhDZ5PEku1eGjVVbWxsM7ljoO6HCNFwJ8foCvoCO9rqXw6vk0weEtKQQjivNghYsCu+empoKigQK\nhm8yR/wZM7n/fsYqgn18fLykujP9dYUN44rcdQr7QTjlUDkUdDf8CFlmPH7CgBufcW6yG3AxyBGv\nF/PlBq97NNxTwTyiDDFWD6XFMMWo8ArQCGaiA1hXjFDmW1LJ3NF/N0rpu9e2cCCGsefz+VB9ORZ8\n9MeFt88HCipGhEcTuECELjOZTInXDZphXM5YiFhJJGajLSQFbxzeXwfaXIhisLi3jPmKgTYHHWLg\nyb9zI8Q9LDEzBlB0emH9fJ0cgPLCU3srOP9vtT8VL25ra5M0e8IGdQYADlpaWpTJZEoitcglZw3Z\nKxjPnrft4BDGsKTwPIw/1sRDnisqKpTJZJTJZNTc3KxcLqexsbES3sg74Wu8n72GYYyMgYZdkWAv\neHSEK2KxkchnGJoYdNKs8VRbWxtSO+gfpw1hYBLuzRw4COHAnp/uICmcYIGH32sVSKXRHuxVN86Z\n55GRkVD4lRoRnChTKMyGkzuIADjiABzAN8agpGCYUuyYuWGOMejZo6TjUciWtXRe4zUAvGZFnEKF\noQ7/YU6gWdYYunU5xBrAYzxtxWWoOyacB/rJI/S/vr4+fDY1NRX+BlD3aA14OxElrJenH7hCDt36\nHmAczDPrxpoBEsGzSTGiyCWgHDQNb3CgDX5dLBYD33A5Ug7Edvqhdg+0Wq5Gwoux/an4cDlDks99\nP6M3INfnMuRdnpeLJOHHI4zi/riM9Chaj6j0/paTn/MZV3syB3tLD7HB4zaC6/+xjsu19GOucTio\n4npauTbXms41dtd7vM8O8JR7Xvy+2C4qN9Z43DH4U+5dcxm9840Ze2Gua+cCjnbX5z1pDqKzJzzy\nyq/z9SxnOLsOMF/zsbgO7/QTG/gxoFcOEJjr/bHM35u/5wMQfD7mHW9xnivuu+8+pVIpnX322YFZ\nXnrppWpra9Oll16q//W//pcGBwf1hS98QU8++aTOPPNMPfzww+rq6tKJJ56oDRs2lPUQep4S3/Mb\nQx4jFKMIAR1PpjM2nuNoFcQSIzEIWRTRmpqaAGo4YOAoLx4DQiAxEBH8CF0v7IiXyz3pPNsVFhQA\nlKGKigpls9nnvMvHzcZk7vjMPWhumOGhkhTCGh2Bjb3RGKZuqGN4+3rGxWl8zTxCxOcRJcjvc6PP\nFRTeUyzORqPwXBQqwCbG4Wi7e1boExvPDVlozj3mKDqM20+KwJuOwhvT2VzMsZzQLxaLJSCMg1n0\nI2YW0KPPO2MiMoS94YpADNxwre+xODWF5ySTSTU2NiqRSCibzQZAJA5lpH8uyDxlycE39gb3eEqB\nR3f4XEFH5GLG17EfuI65ZH58Dp1H7AnTfCHan4oXn3XWWUExzWazymazAYStra1VZ2enWltbVSwW\ntXPnTu3YsSOcCsPxfBwLiIHuJ7rQMFIxEgi19rBnPJF+/CZGdiKRKDGc4V9NTU3By8sRkRiKnDTg\nAGic1w7/qKqqCuMoFGa9/BhOPI/+Y/DRd699gKGMoZRIJJTL5ZTNZgO/Ze6gX4w3qTS3FnrkaEgH\nvfy4ReaX+4geIDXOUz7y+Xw42QU+CgDLMcUVFTOnGfGDXMEgpt8YnuzbdDod+Bi1GvzIWT/eGCCF\nYzgBHYiW8PXN52dSZxgzMhuaYVwe+eL0Dm9wZ0SsD7i3y2UJhhryc3p6OpziEQNe6XQ6HJEICEO/\n+LuhoUGpVCpE4mCgwxsBV5hH5tl5FOCGgwHxcaZ8HxcoZK9BLwDLHGFdVVUV5p3vONkKUATAif6x\nHzyqhvnMZrMaGRnR9PR0WH9ptu4SoISk0I/bb7/9JcWHY70WXUia1W2JinH9ku8dVNobQ2dv5rjc\nPS5zXfcud31sXM3X5vIQ/yEt1sliXaJcX/fkmbS97WO5e+OoMK6LHXrlQJW5gJYYRIh5nN8fAwhx\nX52+/ljD/vloc80DLQZ8yoECft/uxrWn9BHT7Z7uyXLP9/0Uj3dv6NVBC7dJ9vTe+fo+bwTC61//\nem3evLnks5/85Ce65557JEnnnHOOjj/+eH3hC1/QqlWrdMYZZ6iqqkpLlizRQQcdpIceekive93r\nnvNc96yUqxCNUo+B4YgRxlS50G83iPiOgkj8j8eGgj8YHxQijMEJ3+AYyxi2Djiw2N4v/h4bGwvv\nTCaTqq+vD4qeh+55WGShUFAmkwnCAoWAjYCi4cYvaRLF4mwBKMCHGHUtFotBIaCfHp7IPBaLxaDA\nuYeBd8aInTMq95o7WMTaomRR5AovE8/yefW1ZgM4gMI7iXiIvS4IXwelGKd7P512AIOY0/r6+oBg\nAqyg9PEeB8R8LVGw3Vh1umLszvAw7PCoOl16GKMb4BQ3dJqHbh1sYR5dWWYc0GlsrHOPR5RggPgz\nHXX1dBsMOz9uDKDAjXr3TMX9iAEupxe/zhVtBwWhP76P6fnFmn/7p+LFeDwrK2dOw+Ez3xfMt0eP\neAQY12NMYfBzPcaH7zd4hssCz1PH+GJtASTZJx7Nw328g/e4DPHxSqUeUujZr4U+AIgBDxyYoz/s\nGae38fHxEvDDPcie7+1GM8CfV/KfmJhQNpsNQDR8nzF63R5Pm8PgZiwY3OwNIph8L2CcIEecP/jp\nORx5yVoRycX7MY7jFAtXjuEN/KY+gP8Q1QD/g76Y6zgq0PP2Y/DAlSg+87Wm0V/vN3zFPVrudfQ9\n4I4CIjD4HLr1FATAGfggz3Iw1+eMPrD+7AFAV941Pj5eQrMAH4AeDuCyB7yAIfuKPeD7hPc53/fU\nSMZJX6H96urqUK8DukLmomN4PaYXY/tT8WHkMutKc1kW07DThX+2J4bB3gIH5Z7r9Oq09McYauXe\n6/fO1Y/5xuWgTLnnzXWfPzv+vtz1cxny8TzN1edy75hrzh0U8OYGLHt1vvniPW4XlHsX6xuDXPF6\n/iHA1B/a5ptv70M5mvNxxftqb9+3u3f72sffx3Thz4nn3q8rB7DN1b9ydDTfc/yz3Y13rzn1jh07\n1NHRIUnq6OjQjh07JEnd3d0ljHHfffdVV1fXnM9BWZEUTghwlAThxKRgfEEMHsXARkGRKseMEVig\n+whQBLAbKI76ubfalbV4IzvTB013xuACAA8f/ZJm8xdR9lB+XTBLpcUBOW4qjiAoFotB0cXDgwB3\nTzMGmBuV/O2pI/TVC1Z5n4rFmXPU8aS4EenRCdKsoUZYOco296A8oKC6kQJBe+68z6976RknXhgf\nN7Th/fMwJ+YR2nTDlzWanJwMRaq41+nVGUZ9fX1JCLFHekCjHobKOKh6z/y6txYDI5EoPRaU58fG\nMf3z4mmeisKclAvH88+LxaJyuVzJGJyxeTqMrx9ezmw2W7JmvNeZFYLKwTje4yCBC1Cf//hz5yuF\nQiF41mIQcq5Quxdrez548SOPPKJUKqVkciayxMNk4QnSLJjn3mOMOwdVKyoq1NzcHI4wHB0dVU9P\nTzA+pFnlzcPmGxsbA0A3PDysXC4XvM319fUloIWkYIhlMhm1tLSUFDYFBPL9Jc0aNg5uSKWV8Qk9\n53NkQkNDgxYsWBAAuoGBAQ0MDASAz5/Hu+vr65VOp5VIJIIh6WlPGFYeIVZTU6O2tja1tLQon8+r\nr68veN69/kBlZWXwPFdXV6u1tVWpVEqSwlGao6OjIUQeWcIecR4cg/QUt/IUETzK6XQ6vAtQIZvN\nBg96fX19uN5r5jA+PgcQAKz0aCG+Z/4aGxvD/W5Ye+QBsszX3tfCQQQHqVwx5v0OLkPXDlB7moLz\nkImJCdXV1SmdToe6GLwLr30+n1djY6M6OjoC/bt336MNYq9g/Bl07fKeaMeqqirV19errq5OnZ2d\nqqioCCkruVyuxFmRTCaDDGHtGhsb1dLSImn2NAeXyTQHmbx533w9XFF3gKGrq0s7duwoW7zxxd6e\nL53Y5ZbrjOWMC9cx4s/9f/iz7435mqfheoFU+hQbvqxzZWVl0OMBquYyWvbUuHQdOdYPPBpjT4w6\n+Bm0uid9APBKJpMhCmc+I9J1M+RQuegQH5tUWjg2buhYvuY+LmQANXHcqHfeFjsAud+vLTce1yEB\nPtHz5zIw/2+AB9KsQyPeCz7H0HMcFem6CBF1uVxuTh1wTwAGmtOt20rowNCt2wDl9orbgBRUB2wu\nRy/P17zvKcAn/ZFFFHeH3Mz1nXsb2QCe3+n5dCiO5HH7NWzMVCqlRCKhfffdV9PTM5WvR0ZGwjMw\nVDiTO5VKBeJDiDsC75sWhchRcULaXYmhIjaKkXuNWRCMQQcoHMFHEUBRRCmqq6sLRhyVoRH6rhDC\nJDFCCY/EWHRiZl6npqbU0NCgxsZGtbe3K5lMqq+vT/39/WE809PTwXvV1NQUlD0/TsqZEV55Z9QA\nN15cjPl2jzTz42G1MM+KiopwBCdzgxKOQo7ijnHDZubYMwAVojLoc1NTk8bHx8O9Pk8oiijMGDIO\nInmtAJ+TQqEQvDoe4eFC0Y2JZHI23B6POJ+hgEN7NNYI5QtllDzaQmE2vSaVSgXmhbDj3RS6iqMq\noFNAC/oJHUKLADKJRCKAg1VVVSXhyU6rjKOhoUFjY2MliqynOhCW7sCCCwto2deAxhhcgXVFiv7w\nvrkE+Yu9/aG8+MADD9TixYuVyWQ0Njamvr6+kggXwFCnF9YpmUyG8Ojx8fGwL+vq6tTc3Kzm5mbt\n2LGjJDrFDW28o5zmkMlkgqIL6Mm6oJTBhzxEm3oDKDVxLQ0Er+9fpx/2LzVk4tx6ScGQTafTwSs7\nODgYeDa83etv1NXVBX6JEupgJzwAw57fdXV1amtrC2Ade8xBctYAPplOp9Xc3ByUpuHh4RKwmz7B\nf4j4QC6g7I6NjWl0dFSSlMlkwjWseyqVUiqVUktLS/Cw+x5jrRoaGoIcdQCBNdu1a5dGRkY0MTER\n0kwwXlkz0jIaGhqCXINHOZAE/0OW8D6n+1h5dIXTQYnYOJZmC/m6fAEQcD7PWsV1GdAj4LX19fXh\nGQ0NDZIUaBjwxx0YRIVIKtFDHDghNQDgoFAoKJ1Oh5QUovx27txZoo+wrux1AJ/q6uqg+7jzBcWW\n+UPvYf+zt9zzCY9mXtjD7L1cLqdMJqPGxsZAjxs2bCjPyF7k7Q/lw9IsgBinWnHfXAY59yK//POG\nhgZlMhkNDAzMCSA42M+6SzNAZHykpgPy/i76jn7lgGTMa+drbig77/L7SDdLJBIaGBjYrdGH/k4N\nEmqk7K4vVVVVWrBggSorK9Xb2xv491zvgZdTryaXy5UUu/XrfUwuC2KQgOeWW3/Sk5A97oTlPR7Z\n7evlvC5+nztpfH3hC4CVDq7uLTj0fDTkicv8WJd2nkRz3gTdoj+4U6scDe9JKzevADCk/w4NDQU5\nG98XgzquF2Mbz9ev+UAuv8dpoBwguSdtrwGEjo4Obd++XZ2dnerp6VF7e7skadGiRdq6dWu4btu2\nbVq0aFHZZ6BYVFdX6+1vf7ve+ta3qqamRs8884xWrlypbdu2SZr1Zp555pm64IIL1NbWpq6uLl1+\n+eV68MEHNT09rZe97GU677zzdMghh+iYY45RoVBQNpvVv//7v+uf/umf1NPTE5Tfww47TFdffbU6\nOzvV19cXGEQymdTWrVt1zz336Otf/3pAkCsqKnTCCSfoPe95jw4//PCA7ksKRjWhg7lcTtddd53+\n67/+K2xWF6YYQ9JsbrYb3niGV65cqcMOO0zSDAEODAwEpXXnzp36+te/roceeih46jKZjL797W+r\nublZxWJRHR0dSiaTIb/117/+ta655hp1dXWVFBhEIdhnn3104YUX6uyzzw4erP7+fl177bX6yU9+\noh07dgTFaNGiRfra176ml7/85SEHF+/6xMSE+vv79cMf/lD/8R//Ec7YlqQjjjhC73znO3Xccccp\nmUyqtbVV+XxeGzZs0Gc/+1mtWbOmZC6qqqp03nnn6f3vf39QYFFwUNqffPJJ3XjjjXryySeDMdHZ\n2anrr79eixYtCjmZCI/7779fn/3sZwMA4UfInH322frEJz4R3kGleeaKwoPr1q3TZZddppGREUmz\nIfnMJdWmWXOMaMbGOLymhzRbi8BzQ1kjjIrDDjtMl19+uZqamtTU1KTp6WmNjIwol8uFlJiBgQF9\n+tOf1jPPPKNEIqF3vOMd+pu/+ZsSwCuXy6m1tTXkk09NTemJJ57QnXfeqfvvv78kusPTLQiJBvVm\n7IzhQx/6kM4880y1tbUFw2DXrl3h2g0bNujLX/6yurq6Arj3tre9TaeddpqWLFmi+vp67dq1KxgQ\n0NXIyIjGx8f1ne98RzfffPNzFBqEmaO57qmk/x4Rwv5jH8/l6Xmxt+eDF2N0AdC4d9eBTA97lmaN\nAhfg7DkvFjg6OhrWEHpx1J35h18VCoWQi10ozKQ3NTQ0BIPU8+Bd4GF8AZ7xA2JP3QTe7w1AgOd6\n5AKKPIoGfGFkZCRE07S0tCidTpfUIwG8Rc7hpScChigYlDqKByK/KBaZzWaDUemh76wB78pms2HM\nDsriKUd2wTcqKipCzQePNpmentbw8LAKhUIw3DFM4PO5XC6k5LHmABcomNDW4OBgSa0hDOVdu3YF\nBdtP0gD0cXAZ3ohBUygUAj/DuAUg8n0vPTePlPWJIwtc/jC3zK8b9CMjI+GZccHeXC4X7qurqwv8\nGQeJR7Ht3LlT1dXVgVey17zuBSH+0JJH2DFX0G6hMBtt517giooK5XK5AGTjeMEIQzHFsMK4otXU\n1ITaItAukSsA1l53gvl1nurAMp97lCPyhTH9vxYJ9nzwYeYg9jj791Kp0e7fOSBDw+DAOJLK7wcH\n0rw4t+sCrK+n0fq7KMrKusYe8L3xasbe9ni86NsO/NN/nzt+8NjyzD3ty+TkZHiPpyu748fnWpqt\nB+L7ku993h1UcB7k43enXCyzeBdyw/dMubl32e19ZgzoTDH9+Luy2WxwgsX9j6//U+lT/i53ivqa\n+lr42N0hFo+LaD1oPx7P7sYW778YJAJsxVHme8t1KQeS+H5yclLDw8OB3uGVbvyXm6c9mX/6uadR\nOXHbawDhHe94h771rW/pU5/6lL71rW/plFNOCZ+feeaZ+ru/+zt1dXXpqaee0mte85qyz/AQ8Ze/\n/OU6/fTTlUwmNTg4qHvvvVd9fX1BOKZSKR155JFatmyZisWiGhsbdcABB+jXv/61GhsbdfLJJ+vc\nc89VXV2dhoeHNTIyoo6ODr3//e/Xhg0bdMstt0iaYTqpVEqHHHKIampqtN9++5Wg/K2trVq8eLE2\nbtyoH/7wh0E5rKur0wEHHKDly5dLKkVTY0J785vfrJ///OdhUTBg3TCemJjQ6OhoAB+kWaZeVVWl\n1tZWLVy4UNLM4u67777hXQceeKAWLlyoSy+9VGvWrFE+P1MR/9BDDw3GP4RDFeDOzk5t27ZN119/\nfWCiKKOpVEpvetOb9IEPfED19fXBS5/JZPTJT35SxWJRN910U0Abq6qqdMghh6i9vb1EGfAN2dTU\npCeeeEJr1qwJSsaCBQt06KGH6rDDDisxOhYvXqxbb71VTz/9dFDYpRmA5YADDgjXlxMoRxxxhHK5\nnD73uc9pcHAw9O9Vr3pVqCzv6GhTU5O+8pWvqKurq8SzOD09rfb2dh188MFhLWI0FQZ+4IEH6ppr\nrtHw8HDoD32GmXmRTa97wXNipJhx+/gAEtzAWLBggY455pjAwGPBjHG1bNkybdq0Sfl8Xscdd1wA\n1XiXh/LRnyOPPFI1NTV64IEHwpjz+dnilzRnNkRHoAB2dHTo0EMPDfTukQqFQkGHHnqoisWiPvvZ\nzwaht3jxYh1//PFqamoK8+GM2Jng9u3b9YMf/CDQB+MhwgZa9Ptjjwxj9/e4MCwnpF/M7fngxSit\nbkzFXjQ3pmh+LUq/Rw8QOu+/MRKhP/YM0SmszcTERAiJ935h0HsEGqGlCGivueFKt3sl+C5WkNzj\nAHDnEUMYTNCdA4ekdDgfcKMWIxDjDR6USCQCn4SXYPyh0BNp5WPAsAXQZs7om4fPxnMBEIin0efF\n19FTlDwP3n+Yc/ic70PG4QACP0RKefV/+uKgAOBKoVAIax/vU64tZxzEyvd8HmCni5g/0yfmmbng\nWk9P8TQ+eD3ry3OIqmJt3YB0nu4KozffjzFtcw/zAoDMOjndsIdZA66heCbzXi66y/dVPH/eR+8X\nBi2ysVgsPkfO/L+WwvB88OFyRkvcYoAgvt8NQNbBaQg+6oZs/DwVKni6AAAgAElEQVTo00Edl82x\nTHUjF97o/YgN7d21eB5iQ4zvPEUm9ijTH983/B/zh3Lz7oYmNOr7JTa0vdE338uxPI3f7+sa92O+\n98Xv4h7Gy/Pnu5+GzCwHUNFYY5/v+dqfAkTw9XKQcr4++73l+gS9+xrMt892t0fnaj5/9N0jejyd\nl3ex3+Koyrn6M9cY5+qrO97+kDYvgHDGGWfonnvuUV9fnxYvXqwrr7xSl112mU477TR985vf1JL/\nc2SNJC1fvlynnXaali9frsrKSv3v//2/59w0EOvU1JT++Z//WUuXLtXpp5+upqYmffzjH9eaNWuU\ny+VCONUxxxwTJvbHP/6xfvGLXyiZTOq9732vrrrqKq1fv1533323/vmf/1m5XE4HHnigrrjiCn3+\n85/X9PS0fvKTn6iqqkqrV6/Waaedpquuukq1tbW64oor1Nvbq7GxMbW0tOicc87Rl770JWUyGX3j\nG9/Q5OSk7r77bj322GP6+Mc/rnPPPVdXXnmlVq9erdraWo2MjIT80+uuuy6EKCJs47oNGM8snlSa\n9zY1NaWPfOQj+qu/+iudffbZam1t1Uc/+tHgKW5ra9OHP/xhffvb39avfvUrnXvuuRocHNTb3vY2\nnX/++XrrW9+qj3/84xoaGgoK64knnqhLLrlEmUxGV155ZVCw6+rqdOqpp+qLX/yitmzZohUrVujO\nO+/U5OSk9tlnH/3t3/6trrzySjU0NOjGG2/U6Oiourq6dNxxx+nv//7v9a53vUvnn3++tm/frpGR\nETU0NGjJkiW67LLL9O1vf1t/9Vd/pU2bNqlQKOi+++7TmjVrdNRRR+mggw7SihUr9NOf/lRLly7V\nGWecoVWrVgWEjZCvq6++Wo8++qi+8pWvaHR0VJdeeqk2b94c0hpOPfVUffSjH1V3d7d+9KMfqaur\nS5s2bdLrX/96dXR06PLLL9drX/ta3X777brhhhvU29ur/v5+VVRUhBQGBN73vvc9PfHEE7rpppu0\nZs0aff7znw+FzfCmnX322TrttNMkqaTwJwoxyhfr64ooTBljlRYrwjAMwsdBJPP5vO677z4dffTR\nymQyamho0PHHH6+/+7u/03XXXad77703eOeeeeaZ4I0aHh5WNpvVihUr1NfXp8nJSV188cVatmyZ\nrr76aq1bt04nn3yyPvCBD6izs7OkVoQLJegTAAw6T6VSGhkZUU1Njb72ta/p/vvv1/e+9z3993//\nt1auXBmUx8nJSZ166qk677zz1NPToy9+8Yuqrq7WTTfdpDvuuEOXXHKJ3vnOd+rCCy/UU089Feam\ntrZWmUxGN954Yzj61UPVmFN+6Hs5NJq96OHI5RSTF2v7U/FirwJPCKqHpEuzgg8jw0ORSSvCo+yG\ni6fUgLxTYE+aNZR9jSoqKjQ6Ohoqt9PHdDqtfD5f4i3AYPc0H4weUqUAJ+Lj+WLABMMbQ49wbj7n\n+X6MLrxq165damxsDNFKY2NjwVtDwcGxsTENDQ2FuSW9SFKo+eAygXnE2HTeQvQCRh73UcuCyIBc\nLheup38oGHjF8U4yl/EeYg7xTNP3VCoVDOqxsTENDAwEed3c3Bx4BIY99Ode8rGxscA/CJd3w9iN\n9mKxWHLCB95QT3FineBd5YwR2lxKVnwtxoN7szxiw0Ef53cOkEgKgBCpjdA2nnkH1ei7Rx9A0zQ3\niKA5aoiwH3kWewdaJdqnublZ+Xw+1PkZGxsriWoA/GIsrvR6xA7z7umUzK+f0AHt8Td7k89IYQFo\nfDG2PxUfRu5DW+Xocy7DJo5Y4H4HrHzPuNMibg76AO5wyo0b7dCCh4f7vp2rzzEwXa753nNno9/n\nn7nhhe5Tzgnh/Xbni//PHDFnDmziBHSw0MfBu9ANfT2oQ1FuLNJsEdLYgIznhP3HWNwBkEwmQ7oz\nsmo+sMMjr+JTY+Zq5Z4XgzJxFMjz1Vx28ew9eT5r5x58p4sYZJD2HkRwGoqf74CU7xHssEQiUZLq\nEtMl18dRAvPN+562+e7Zk2fNCyDcfPPNZT+/4447yn6+YsUKrVixYt4XSrNegXw+r8HBQQ0ODmpk\nZES7du3SMccco9e//vW66667JElve9vbtHTpUnV3d6ulpUV9fX0aGRnR4Ycfrssuu0zd3d365Cc/\nqWeeeSacOT00NKRLLrlE3/zmN3XJJZfo97//vbq6ujQ1NaW1a9eGauOPPvqoenp6JM0QzLPPPqtX\nvOIVOvbYY/W9731PfX19GhoaUjabVW9vryRp8+bNeuyxx0KorDTj5WdMDQ0NAWXykHUvYoMSIc0S\nF4p4V1eXNmzYEHJEH3vssSDwk8mk1q1bp5/+9Kc67rjjdPjhh+vBBx/UM888E5Scrq4ubdy4MQj9\nTZs2qba2Vh/60If0ne98JxiYS5cu1RVXXKHh4WFdfvnluu2224KHZ3BwUFdeeaUOOuggXXTRRfrN\nb36ju+++W1NTU+rv7w9HqW3dulWPPfZYUHZ++9vfqlAo6IYbbtApp5yiL3/5y8GLtnPnTt1+++06\n+uijNT4+rlWrVunVr361zj33XB122GH6/e9/H0CERGKm6NjTTz8dmOOaNWu0devWYECuW7dOr3zl\nK/XRj35UtbW1+upXv6pCoaCNGzeGo+YKhYJ6enr0+OOPhzVH0cOTVV1dre3bt0ua2TBbt27VQw89\nFApdovBu2LAhKEp44zyFwUNqXWC5QsA6wyRgbCjbAAfSbHgq9DI2NqYNGzYEw2j58uUqFovq7+/X\nAw88EGiL6JJisRgUsSeffFK/+93vVFdXF1JNfvGLX6irq0tLly4NAqSmpiYYYNAmc8C4EITF4szx\nXCjMvb296urqUjKZ1ObNm/XQQw+V0PvTTz+tV73qVfrIRz6ib33rW9qxY4fGx8e1bds29fb2qlgs\n6tFHH9X69etL3tXa2lpS6DM2Mpgr96KjjDt45ydcwHtiQTef4Hyh25+KF7u3Gfp2MEaaNVb81BFq\ncWAE5HI5jY6OBlqXZlPV4EXJZFJjY2NqaGgo8Vqh7HICAXRL0arR0VE1NzeXHNMozShmpDewR8jJ\n9loyKEVE7zAmL5YIXyGVzE9B4H0e4giwMD4+rpGRkVDoj7B1cvFJfUB5gQdMT88UbMTIJCqAe9yD\nhnEHwMIzJAUDG0DCj8tkX2BgeooV8oojBzH2KehXW1urqampklMkWGsiL1gvPNiEg+ZyuZJ0D/Yu\n+fnMLfUWstmsmpubJZUeSVwsFkMhQK9Lk81mQx+YH1f0PVzbDVZXwuEVHgUYK1OuFGLEs4Z1dXWB\nRj30nMgSUrgAEOhTbW1tOFljampKzc3NgffGkR+A2A52uQcZGQLNexoIe9lPsqBQL0BCNpsNc+Jp\nQ6wTx4xOTU2FI14xjhgT8s3Dad2rxvoAJvoRrNQdwejxaL4Xa/tT8WEP/ZfmjpSJjVVp1hB0fQL+\nERskXscCuoqbRylKs7W7KATLva7XMAYMfvdUx/tpLuPMDUQHev175sCf4fRHRKJHXLiu7SCDg37+\nLJwNvMudFsi8cvf6eJ3/xnPj42I+PHLTj7J3XZLx+zgkBZ2MOYcvEsVXrqEnuTznmXGaqN/jPCiO\ndvA1jNf7+WjlQP/YyJ6rMS/Q/ly06HwsbjHwFH9H87lxwEOapS9PHayurg5AsY/T34UuE0cxxO/f\nU1CF6+eL9tqT57wgMbswHiYPo//uu++WJL3uda8LyuFJJ52kvr4+3X333cEIrK+v1zvf+U6l02nd\neOONWrt2bcinlGYW8Nlnn9VNN92kffbZR695zWvU2NhYEu5JGDXCFoUsl8tp6dKlzzmKbNOmTSUh\nh0uWLFFra6uSyaR27typL33pS7rllltK8uMhVAxDiArlEkEMk/GjjFD8HJkeHx9Xd3e31q5dq2Qy\nqX322SfcPzg4qEKhECqJjo2NBQ9GV1eX6uvr1dnZGYpunXDCCUqlUvq3f/s33XPPPcHDhOLX39+v\nq6++OkR6NDY2Bo8P7+Js51wuF4zQ/v5+5fP5oHw4qtrY2KiTTjpJmzdv1vr16/Wf//mfmpqa0l/+\n5V8GEIb1KxQKGhwcDPMwPT0dcoEnJyeVzWb1zDPPhBxpNh3Cc/PmzcFYHh0dLTHgvegMHnU8KSh6\nFRUV6uzsVENDg8bHx/Wb3/xG3/72t9XV1RXOucYg8cgT1gNG5ZsexsLau4czFrLOeNyLg/DauHGj\npqam1NvbG2gMAwdGtHPnzkCHLhhROJnHyclJDQ0NBePCGTL989DXcozUvRQOkHgY87Zt20KBLxRR\nX2f6umjRIi1YsECJREKDg4P6/Oc/rx/84AdhDlFS6SPzhmDx+WfOEeButNJHVzZeas1D0OGJGIRe\npNTpxr2hGL+jo6MlHkwMUhrGonsyHXAj2oTii6lUSoXCTD2EXC4X+Dv7U5qhOYovUtyP+ib0J5fL\nhRxzogpiYUtfMfrw+NOgJ/YtXjly2vH2kpuLoVVbW6umpiY1NzerpaUl8CZPScCocs86NOzRMswf\nBUkBC+AvlZUzRYbb2trU3t4eioyR2z4wMKAdO3aot7c31G8YGRkJ9zHX/f39GhgYCIV0iSqRZvcY\nEQ3t7e1qa2sLAATpeZygIZWG/FLIjHljfbge/sVa1dXVKZPJKJPJKJ1Oh2KL1GHwOg/pdDoUC8zn\nZ498rKysDIXkOOmDeXNDai7lk+8YH7KZCA7WygEEjC3mmXVzo4r15DOAWKJlAOkBLqALeBnzyr7k\nPo/IArRJp9NqaWlRR0dHqKfkoB+/0YOqq6vV2NgYioamUqlQSJh9xfWSQt0L+oXehK7BvvHTf5iv\nhoaGsJfYa3FxsZdC88jUctEBbjS7rHKwlud4rYzYACbCYy6AQlKIJOJUBWqXwItc5joYybNJwXRa\n5Yc+zdWgnXLGqTeezTXwZX++A8bJ5Gzx09jD70YXtMo8OxAjKZzA4rpCPJeVlZVqampSJpMJgANg\nJTof43S65zSAQmHm+Hn4nuvRcaupqQnvYhwAkjEoFc8f8wWPZC/ORRteCN2BXp8L6NejIuLnudG/\nN437/J3xfpjrPuQJtMnn/I7THuN3Ov3O9Q4HNhw8d4CJYsfwYeyHcukLvt9ZU/rv+4Qf5xG7M/6f\nL1DnBTlw18Mxq6qq1NzcHLzUv/vd7/Sud71L3//+99XZ2anjjz9ed9xxR8iRraqqUktLi17zmtdo\naGhIDz74YBBmHjqXz+d111136YILLtBb3vKWEGoPQ8hkMiEUE2Z06qmn6i/+4i90++23B7ACYz+T\nySiZTAYl7Stf+Yqampq0cuVKffe739UNN9wgaRZJhphcEYUA/RpAAhQFhDVFw2D+09PTSqfT2m+/\n/fT6178+hPPizeOYr8bGRg0ODoaidIcffrguv/xydXd3q6+vT4lEQplMRieffLLGxsZ0//33h8JQ\nvilHR0e1du1abdy4USeccILa29tDRfVUKqXa2lrtu+++6u/v1+TkpDKZjBYtWqQVK1aoUCjo97//\nfQmyWVVVpSOOOEKdnZ265pprtH79etXX1+vhhx/W29/+du3cuVPPPPNMYD4YGRT7WrBggQYHB5XL\n5bRw4UK9733v02mnnabf//73Wr9+vaTSdBAEX1NTU6iIy6bBAAJQ4P/q6mp1dnaqublZBx10kD75\nyU8qnU7rPe95jx566CH95je/KREqfkQm4IuHIcFUQMVhUu7J9znHg8QzULphxM6Q3TNICLLPWTKZ\n1C9/+UvV1tZq586dIdS7qqpKTU1NSqfTGhgY0K9+9St9//vf19q1a0sKxvEeV0q98JWj4AAy9L+5\nuTmAYQ0NDWpubtYHP/hBveMd79DDDz9cEtaMV6yyslILFizQ0NCQvvzlL2vJkiW6/vrrdfPNN+vf\n/u3fgueTFnvlXDlnLtyTwf5z/uBKyFzemD/35nnoNAeQMHIxakZHR0ONEQwRQAjmGYCWvGtPWQOI\nwsBAwVmwYIEaGxuDsefg4eDgYAjb5xkoXygzrtR6xAB7zesZxMLewSaKrBIRwHtqamrCGfYYPnj0\nMcKIsGDsKHcNDQ0B3GA+iXRwuoYH5fP5kqKKDkIyfhQpZATziYLhUU1TU1MaGhoKe4F549SZ9vZ2\nDQ0NBcOc+j8DAwMlIcquZDMneOLhgximREQkEonAn5h7gBYM7JqamlC4sbGxsSTKwpVF5on3sKac\nnCHNFgV1xYpomYqKirA+Tuc05wHQhINLgEIY1R4pQhQaNJTNZjU4OBgiRzxE1SM9ADqk0tN04MUO\nfno/fW96lIkDZAAafqoCkQ3FYjHoDPAB99TGRhzv9CgJDFLns/B1V4RZe9YDgAcQhvG5PHmpNeh3\nd0AW8g0Pd2ywuB4HuIWDIvZmesSdG1MNDQ1Bf4Sv1dbWBmcD18Xed987NNcl5kqb8D7wg4eWMfo8\nJBKJYOh7FAynuzAuT6MCSPOTY5iDWD9wp5dHbLlOBi+nP6wLoC80jGfZjXWXReyLQqGgjo4OjYyM\naGRkRPX19WpoaAgyL5vNlui3NAxQ+DAgLf308XG9P6dQKITTghgjKYLx2sTz43ubtYm9+dCig9Ce\nmru3LY4kcF17rlZVVaVUKhVsKudP7hhA5rsuUU5XKNcc3I1TDXgPoI2vF3p8NpstmSNfH99bscPM\nbQNfF945Xyv3/Z7eS3tBAAQai4dHe2hoSN/4xjd000036fTTT1c6nVaxWNTPf/5zHXroocHDLs1E\nIWzatEldXV1h8jAKUFK3b9+utWvXqqOjQ62treEaNuunPvWpwIBe/epX67DDDlN3d7e+853vBIMT\nbzPC7qqrrtLw8LAOOOAA9ff3a+HChaFyf7FYLFFsPAwKg5GQQDYRGwJlO5+fqeY8ODioffbZRy97\n2ctCvuny5cv1P//n/5Qk/frXv9ZDDz0Uqljncjk1NDToggsuCDmQixYt0hve8AZNT0/rlltu0Y4d\nOwLTzeVy2rp1q55++ukQTui1GyorK9Xf368777xT73//+9XU1KTt27cHb0MqldL111+vgYEBJRIJ\nNTc3a8GCBaqqqtK9996rxx57rESRq6qqCsDHmjVrQiXuH/3oR7rmmmt08skn6+abbw6pIiif09PT\namxs1L/+67+qv79ftbW1am5uVnt7uwqFgr73ve/p4YcfDv0mogAGSkQFwsURXxgsitv09LTe8IY3\n6JZbblFnZ6caGxu1ZcuWwPTjatOAQzCOycnJ56DM0uw52oTdMtd+LCKKpQsVaIhxOUBA7iiREAhF\nFMipqSmtWbNGTzzxREkaBQoBdLlp0yZ96lOfUrFYDN5d92b4tQ5glAv/5v53v/vdWr58eahXsWjR\nIrW0tKhQKGjlypUBsCIFghoa//RP/6TJyUktWrRI2WxWHR0dqqiYqSLO3GE80VxAeiRBOY8HRgnN\nheFcitufe8OjAi0Wi8Xg6ZUUjPpkMqne3t5QF4TTMpqamlRbW6v6+vpQXBSPOd4weGQymVRbW5va\n2trCfuzr6wsRQplMJpwwIkk9PT0aHR0NaD39weO0cOFCLVy4MByFJykYRVzvyiOGi1QajolnxT10\nGFwVFRUhhaK9vT2E7OfzeXV0dKhQKKi1tVVNTU3PqaaPMk6uOWfF79q1K0RoSTNHRHJMJHNNRFhd\nXZ2WLFmixsbGcARxW1tbAOn6+/tLTj6QFI7R7OzsVLFYDMekemHg2tpatba2avny5aFYbUVFhbq7\nuwOox7rW19crnU5rcnIyRIrA51KpVCj8m0wm1dHRETzdKMF45FpbW7XPPvtodHRUO3bsUGtrqyor\nK9XR0RGivdra2kLNiOrqamUymVDsMZGYPfq3UCiEtUqn00EGklLCaQFSqdLuEW1uJNNcSaysnDmS\nDeOAOiEOJpGSkM/nQ+oYJwVxLChge2dnZziKGnppbGwMcwMvz+VyGhoaKinSGDfncewz9iWf1dfX\nq7GxMfBh1o5omMWLF5dEhBDJQJ9YZ+YrLgoKjTD3Hp3mP+4QcI8wegbrAN+YK4T6z7m5LhF7IaXZ\nM+QBetzo9ZoSnnLlz4b2+/v7S2Q5p1y5PkS0zvT0zIks1DdxZxjGtTQDErBP+ZzIGI9+2BODBh09\nBrPcKAPEA8AD9OR7TxVwTzn8FT7hXmfe7SdwSXpOrYP+/v4w1+w7dBR0Od5ZX18fdG0AUvrH+5C5\n7e3t+uu//mt1d3frq1/9qgYGBjQ2NhbqTnGvO0SIFsKhVFlZGU48ivX5ZDJZckxhW1ubamtrtX37\nduVyOfX29oZoYvR2wGxAPXgF6wO/iEED5oe58VoM5SIS9rShI7veBnAEmO9pmICrgPykQEozMtAd\nEtAbssbXk37vrm+xHglYw7PhwxUVFQFAGB4eDk7A2KFBo+C9r2E5h4+DIn9ohEf8vN3t2xcEQECw\n1NTUBIQ0lUopk8kEgj7qqKMCqLB161a98pWvLPHyuiJQLBYDAfkmhmA4e9MJrq2tTaeffnoJg56Y\nmNCqVav0yCOPPAd1p98LFy5Ue3t7IFI2aEVFRfCMYVSxABh0KNeAHJJKCgZBcB6OevHFFwfmuHz5\ncr3yla/UunXr9OCDDwaiYyNUVFTopJNOKnmeJK1Zs0Y//elPg+eDkF9ptoI1qK4zfBQC+h0Ljc7O\nznBihK8tzJU5hPksW7ZMY2NjGhwcDAYL9RoWLVqkVCoVFCffsIlEQosXLw4nUjgNceYuc4yHkI2I\nMgzQgofSASdnwDU1NVq6dGlgun6/5y1BF2x2aECaDXkGAc/n88Ejz/w5MhszAKIO8BK6Usvf/M8e\ncrrjOvrh6CUMyJVCV/y4zr2yrvj5+KBXwBpoOpPJ6NWvfnXoB+AF73cUnHlOJBLaf//9Q3/HxsaC\nseZeWJ7FPvJ5c7qP0WLfi66c+Pwwhy+lhuHokRgcMygpeKO8NgDz7tFIGAGEXXM9HmL2GkVAoRe8\n8XwPr0ilUmpubg6FCOkbRlocdolBmU6nS8I2ARRqa2vnPMdbKh/Oyn0ODHKNNBvqyxzBB5z34Y2q\nra1VKpUKQF9dXV0Jj6murg7H6kkK+57P2StEM6CcsjcxlhkLhjX3YHyzblzT1NSkzs5Otbe3q7W1\nNUQDumeG9fWQdDcE6+vr1dTUFCK+MCpRQElFICwegwNQB49+Q0NDMAxYa8KOpdmTlJqbm4MuAKhS\nWVn5HMOJPmNcw9OgD+d53qABwFqPDHG5j8HvshwgmlofRGEBErGXUqlU6DvfM0ZkmR+dyjtjL61/\nBxjGcwA7vAYEdAi4gFxyIx5QkbUGVIQ22LOMOfaO+TzG//ucewQRivV8e/TPubleQ3Owm/0Ez4wN\nFXQTN4b82cy9G59O18hWdAGvp4LxO9e64PVGF6G/3s8/Zk19fPQ9NnZ8DOUABGQGkWFEKrjBK6lk\nfvx/9pf/z5rMZRS7Q8cjc3xOmJf6+nodeeSR2nfffdXY2BhqszmYQh98HnxvAwTGAJOHuksKUagU\ngh8YGAj1LeChgJE8L06LwFaIvfU479x56r/dMcZ9e0Mb7mmn8V7mA1lNKqLrucjo2traYNMwX4Cu\njBFwgXfOZ5TH+qavlzv+WC/mAX7K9x7p4mNzOvM1jq/9Q/eZ8+VYT56vvWAAApu3UJgJWyTsdXBw\nUD/+8Y911llnqViciT54+umndeKJJ5ZsVAr9OJLnmwQi2W+//UIuOPdVV1dr586d+uY3vxnQv/e9\n730qFAq68847tWPHjpINUFFRESocX3vttXrggQd0xRVXKJPJhJoDGLMgXGw6N/Bd0BLi5AYoChIe\nserqai1btiwoi0NDQ7r++uvDqQgI28rKSrW0tGhiYkL/+I//qOHhYdXW1uqv//qvte++++rJJ59U\nd3d3KJBXLBbV2tqq+vp6tbW1afv27YGoWZuKigo1NzfrVa96VZg3CJzCV5/5zGf0zDPPhDHW19fr\njW98o84991xddNFFWrFihYaHh1VTU6ODDz5YRx99tHbt2qWLL75YO3fuDAwJb8hxxx2n73//+0GA\nsdlyuZyuuuoqPfXUU8EgeMUrXqEzzzxTl112mY444ghdcMEFJeFsKJ0o/wBMiURC++23nz74wQ/q\nwQcf1MMPPxy8KRUVFXrwwQf1xS9+UUuWLNH73vc+tbS0BCXQ02QAOXzeWGMUMd5HxIArSwgw37hs\nfo86wMhw+sZwkWaRUuaMvUCNAQ/VB4WnnzCiGGSQZs82Z21jgQRNMyYMhUQioTvvvFPf+MY3gjGZ\nyWS0ePFifeADH9ANN9ygrq4uPfroo2GvSDOG3kUXXaTu7m5ddNFFOuiggwJPiIEC1sHD0VzBQOj6\nffztIWHuieG+l1obHBwMoerSbNg/Rvnw8LCGhoa0c+fOEIGwc+fOsCfYHxg7o6OjGhwclDSDrhPN\nALCFoc3327dv1/DwsLZu3arOzk7t2rVLvb29IVcfbyehoNA49OqRKdlsNnjg3ODCoKdqPOH30myO\nsNf4wAuFgjQyMhIUCYDi7du3q7u7O/CX2tra4OXgp6enR1u2bNHExIR6e3u1fft2DQ4OBoAFYAQw\nDMOT+gTFYjHkxZIiQtrH6Oiotm/frq1bt4aokMrKSqVSKSUSCfX09ITUj2QyWVLrYmBgICjb69ev\nV11dnbZt2xaKBhPlxxwzb8wdXjU8Xn19fcFbRpjz6OioamtrQ6oCCk9VVZXGxsZK3jU4OKh0Oh34\nnST19fWFCATCtanTQj+kUmMCfoBBTv2E+vp6JRKJkOroPBE6idMEHIyFPijSDD90UBm+PDU1U2i4\np6dHXV1dwShGfjY2Nob6RBRKxhNMKgy1ROCzbhg5T/PIOa+9VCwWw8keePMHBga0a9cubdu2LUSi\nDA0NlUTBDQ0NaXBwMEQEcWoINTri4oZECbonEjkEr0bfAOxiLd2IgNacB73UWiqVKgm/l0rlFvWs\n0CuhO4wigNVYTmMMefqfNFsY1x146XRaPT096unpCU6rbAfG8GYAACAASURBVDYb9qQbPm64IBPc\ncJ9Llu7OyPG9CE+GpmmE2NN/Lw7q6TXo+jgSt2zZokQioeHh4fAOCmHH/XMnAzpQ7JBg/tHzGhsb\ngwzgXQ4AurGNXoeTqLu7W//yL/8S9iE6q+fHe/qopFC8miLrRLXiYGF+4rUYHx9Xb29v4M8Amcyb\nzzn9h//x/XxgoeuxrCFzCW/4Yxw1HrUEH8UIdyeT19QBdB4eHtbU1JSGh4dLADXGhVwjeiYGQOZq\nbnvGUQTQFIVzcSDj9CBixPcoAP/ExEQ4YMBt3XL9cZBmvj6X24NuAzhQsrv9+oIBCAjo6elpDQ0N\nhU729/fru9/9rk455RRNT0/rxhtvDCcDkOeXy+X04IMP6t3vfrde/vKXa2BgoMQQ4ofUhdWrV2vH\njh2SZiaKo4xWrVqlbdu2qaKiQnfccYe+9rWv6dOf/rQ2bdqkjRs3hr7m83l1dXVpenpaa9eu1RNP\nPKEvfOELWrZsmVavXq18Pq+DDz5Yr33ta3XTTTcFAc3mgRG4dx9DmFBK9wKMjo6qu7tbqVRKn/zk\nJ7Vu3TpJCooCuY4onclkUl1dXcrn87rnnnu0adMmTU9Pa9WqVfra176mM844Qw888IBuvfXWoLT8\n8Ic/1IUXXqhly5bp2WefDQoInqdCoaB0Oq0DDjhA27Zt0+bNmzU5Oam6urqgYK9fvz6EyDP/q1ev\n1tDQkD7+8Y/rX/7lX/TII4+oo6NDJ5xwQgBJDj74YL3iFa8IQApVv9/1rnfp1ltvDevp3vff/e53\nYa4LhYJ+9atf6c4779RPf/pTvf3tb9dXv/pVPfHEE0FJ7u7uDig7DLy2tlZjY2Nqb2/Xpz/96VDf\nAYUfAOuRRx7RY489pm3btumII47QyMiI6urqdMYZZ+jee+8Nx1MiSAuFmVBjAC2YEcomzA0h4sWq\nUMqgWY8w8DAykEiE0rPPPqvJycnnnKnNOkAvGNqkduRyuQAmAD5hYNFPR+bdEwdN+zugGUJds9ms\nuru7dd9995UYRpJ022236fbbb9fll1+u9773vcFbhsGyfv16Pfnkk7rhhht0+OGH684771QymdTL\nXvYynXbaabr22mvLhrA54s56eP/jsTiDdITYBcpLpWGQQYekbrW0tEiaUTTZF3im4W/5fF4LFiwI\nz/KQQElBMBLRAM05/SEDAB6KxaJ6enpC8VOUPGiM9xaLM7maKDWErhNi7QoY3hJXCBxcQJljP3Mt\n9IuxQ/rD2NiYuru71dvbG8LtAfLwbLD/OVmmu7tb27dvDyBuNpsN6QHSLB1S2JQaCFSpJ/wRPuLz\nSyFHxj89Pa2BgYGwr4jSAOAeGBgIMnX9+vXatWuXdu7cqYGBgZJK/J66hWIM35JmFDmKVHrUEgrm\n+Ph4qN6Pt57TBniezzXjn5qaCsc7kuoyNTUVdABAIwBLPxIT7zoh+M3NzUHOevqDG+S+/jToUyqt\nnM1+GB0dLTkdAhohyo9cZmgWICUGKagtwklUfX19oY94ndyTyfo7+CHNghwegQbQks1mw1oMDw9r\nYmKipOitRy3s2rUrpGUgE0gr4FqP6kAexVGDPkb6XI7/0uALrPlLrQEwxSH/zB/7y2kB3Ya5j72y\n0Dj3udeS5pFE0Dk8gOtJA/W+8A6ey08cGRF7SL1/cxlB8fXljB0HDzKZTDDWAJ+KxWIAB+CteNkl\nhRByZItHU8ZzyDji+WNvsv/ZE3FNIe+DNJuGAOCbTCY1NDSk//7v/y5Jw41z/emTO7FcT/Y5LzfH\n8LR8Ph/49tTUVEk9H4+y8yjqOGrC5ZB7wh2s8BQs5gZnmhuse9uYb59XdFf66H0mdQte5kBMPFek\nBsd6+e4iaeJ5KUdLhcLsCUEeregygYbuj2xkLv15c/Ul5gXl+ho3Xwt48Xzjpb1gNRBQ6iorK0Oo\nJYLjkUce0XHHHadEIqGurq6ggIJeT0xMaM2aNTrrrLP0rne9S08//XTwisPkMpmM/vZv/1Z1dXX6\nxS9+obVr15aEiuAFQljfd999uuqqq/SFL3xB7373u3X99deXKMNetC6Xy+n222/XrbfeKmlm8l/3\nutfp8ssv1+OPP67Vq1eHzYcBh1cPoY5iwWJTHwElJJ1OK5fLad26dcErgDLnBqIb+65kUwX6M5/5\njFatWqWPfexjuv3228OmW7t2rQqFgk488UTdddddJfnlKHqnn3662tvbdeeddwaAg0IjEBzeEhTn\nyclJbdy4UbW1tVq6dKnWr1+v173udXrzm9+s3t5effCDHwzFEqUZpnbIIYfonHPO0dFHH6329nb1\n9fWV1ANAGUJoMKcjIyPq7e1Ve3u7Fi5cqCeffFLSTPhca2trWDeYLJvS62EAmPAdXrV8Pq/bbrtN\nt956a/Aw/sM//IPuu+8+nXvuuZJmQ97r6ur0sY99TGeeeaZGR0d1zTXX6IEHHghoJszOI1XwKLhi\n5VEpKNR+nKQb85y1HhcxQ6jxXLy2/E1+sPcfpNYFJsCFnywBU3RDDqUHAcrRdDBL/25kZEQ9PT1a\ntGhRuB9gB3oeHR0N8854li1bpssuu0yPP/64fvazn5XwEGm2tgH8xAUfewya9fA/7n0pRyCgjGBw\nQ6MY/BjChD1Ks8XsSC8AyIJPNzU1PccTiWHgYYY1NTVqbW1VdXV1qKCPQMWYYN1qa2tDehI8sLm5\nWR0dHUokEsGT0t/fH5QAUHwHIdgbDjS7Eu1RPhTnw4DPZDIlEQcelTU1NRUiuiiESwFF5wHMCbKI\n2gbulfEUD/Yb6+GGLykIhcJMEcqWlpYSA4A18L7i6Savcnx8XNu3bw/gB6lt1JpBrrgSSM0H+uZe\nT0AbPGd4/0lZIES0ublZra2toXYPqRlEvtTV1SmdTqu9vb3EGB4eHtbIyEgJ2Aovr6ioCMcoE6VF\n9AuG+tjYWOg3/C6mA8bj4ABh2qwPIf1eFRvlf3R0NIBDvIs1q6urCz+kOXi9BgAYp0f6EntKYwWc\nyDt/HzTJPmxrayuJHPM9UldXp8bGRrW1tamzszPoG/X19SGP2/eV6yuxsUe/GRe8xAFo5saBEEkv\nySKK5UB5GvOMXPNjSp2/Iq+R1eivHrEVgwfMP3ocqS/Ou71vcT9pAKEeGbC3YDzPjX+7EV8sFkNa\nDoAAuhJ8ivvQPzwiwcEH97h6pAHvhk9zTTx/3IdHGXAOvgJQ4HPBc+DtAKmJRCKAzTzP++D9wibB\n0ONdyGrnjbzTxyIpzCF8EScustVTL9CRAZLQxZ2u4jX0v9H/0Ntjz3y5Nh/AxHzw4+PhfZICWMAY\nY/ALHghPImIljgQoN7Zy/Sr3v48DUAidG303jsRCpgGwczIGe7lcBIK/Z3dGf7n75gL6XpQAAgSP\ngtjV1VXiYS0Wi9q8ebMkBXQMA4p80F/+8pd6+OGHde6552pgYEB33HGHHn/88ZDDd+yxx+qUU07R\n448/rkceeaSESDjOA0V2amqmKvSPfvQjveUtb9GHP/xh/epXv9Lq1atDf1HAKHLlilxdXZ2Gh4eD\nAuVE6gvA+1FoISYIPpFIBKaXzWbV3t5eIoBRglEkPHQNQ42jYyi+8tRTT+nSSy/VN77xDX3wgx/U\nypUrlUwm9eCDD+qWW27RqaeeqvXr12vlypUBGUylUjr22GN1/vnna3BwUP/+7/8ePJPksEoK+b8w\nu5qaGi1cuFDnnHOOpqZmKn+n02m96U1v0v7776+7775bGzZsCKHGxeJMiO6GDRv0s5/9TG95y1t0\n0kknqbu7O+RYomRwrA3rWF1draOOOkoHH3ywisViUAxhJAhHlFIHrMhDRsHctWuX6uvrNTk5qaam\nJjU2NgbvEd6apqamUEwMxZvzzpuamnTeeedp//33Vz6f12GHHabf/va34XhJUiRYaxRc9zjAvMsZ\nNCi7vsFR9FFsMY6ZVzcgAHhQfDGC8O65cY1g5X8YC0KA5zLXniMmKexrjCJnyAcffLAOOeQQPf74\n42E+vACk59vTdxoKEXPgYIYzPDdmynlvmDP3qMDA94bx/rk0FAX2Cg0wAM8ta8New0jEMPAQdff+\nE97sipQrteRhUxSQHFU87i58nfdKM4XoFixYEPgyeeQcJcvaE13kAJvTDM90gEGaTYOjPk8mkwnG\nazqd1tDQUEm0QTqdDrIFUIRCdEQASArpAPl8PtQBIAyWfQAw43NHn9yzw/G6HR0d4XQMjsHz0GXk\nRD4/UyQtkUiEsE4vOtjY2ChpxpNP0TEMP8bR0tISiqwh7zju0fcZYKkfNcbpBS0tLWpvbw+Gq3uo\n4CFNTU1qb29XIpEIkRhehJYUJ+Sz6xDMJSkpAOpE/sF7yxniNFes3NCur69XKpUKMoGxVlRUBGU8\nnU6roaEhhJ46WN3c3BxSyagv4elczo/ggR4p4xFTeID53/clNUFaW1sDSEz0B6k+DsJA162treHI\nZ64jpQbeDB1jpDJ++h17tt2gkmZTRJCNiUSipAjaS6250QJPlRRAP3in84LYGHLjHpqjlZNt8GJp\nNrJQUomxx3XlDGhaVdXMyWgORODh9rYn8tUNGRryid/ooHiU8ZzH+4E5QHdxpwiRv1wH/cbvn88o\nA3BBv0B/BggHTIkj3+BL+Xw+5OnjYAIIRY9z/uO6jDRbf8adUw7mzdVI/8Z4npycDJGpDl56nxsa\nGkKB42w2G0674XvmyHlqbJBCb6xJOU/97pqvqwO9FLXlf3ga0Wu7du16zvGlrqcCnEkKEZbe973p\nW7zW2GzYZswbkSpOh05vrCVRdOgwpJR5i+f6j9FlY94xX3tBAAQWv6KiQgcddJDe8pa3qLW1Vcce\ne6z6+vp02223ad26dUokEjrqqKN04okn6oQTTlBra6uOOOII7bPPPnr66ad1ySWX6Etf+pIuvvhi\nnXXWWbruuus0PDysN77xjTr11FO1efNmXXrppdqxY4empqZ04IEH6sILLwxF8i666CKtWbNGq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WW1ubysrK1Nvbq+rq6kCLFDNjDvD4QU+kEKCgsc7QBXTEWnuf4xAswvV8zTAWQJdpzIMreawL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\nNjQ2NlojWtOi6uvr8e9//xvhcBgTJ05EKBRCOBy2Z4U3NzdbIuHdd99FT08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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "imrow(textimage,normalized_cross_correlation,normalized_cross_correlation**2)" ] }, { "cell_type": "markdown", "id": "3ad4e078", "metadata": {}, "source": [ "# Peak Finding" ] }, { "cell_type": "markdown", "id": "7596c2ec", "metadata": {}, "source": [ "Many computer vision algorithms involve the following steps:\n", "\n", "- remove noise\n", "- measure similarity to some template\n", "- find a small number of locations where the template is present\n", "\n", "We find locations by identifying places of maximum similarity to the template." ] }, { "cell_type": "markdown", "id": "8a62f350", "metadata": {}, "source": [ "Issues in peak finding:\n", "\n", "- scores near an actual instance are also high\n", "- global maximum gives us only one location when there may be multiple instances\n", "- local maxima may give us locations with low absolute score\n", "- noise produces false maxima\n", "- we often don't know what the threshold for a good score should be" ] }, { "cell_type": "code", "execution_count": 36, "id": "5e9cad6d", "metadata": { "collapsed": true }, "outputs": [], "source": [ "ncc = normalized_cross_correlation" ] }, { "cell_type": "code", "execution_count": 37, "id": "705f1a47", "metadata": { "collapsed": true }, "outputs": [], "source": [ "def local_max(image,sigma=1.0):\n", " image = filters.gaussian_filter(image,sigma)\n", " return ((image>roll(image,1,axis=0))*\n", " (image>roll(image,-1,axis=0))*\n", " (image>roll(image,1,axis=1))*\n", " (image>roll(image,-1,axis=1)))" ] }, { "cell_type": "markdown", "id": "120bcdbc", "metadata": {}, "source": [ "Let's start by finding local maxima in the ncc output. We can display either their locations,\n", "or their locations with their weights." ] }, { "cell_type": "code", "execution_count": 242, "id": "71d9d4c0", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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1tTn3e/vttyPVu2nTpkj726L7HHfh+m1KxjPY24xrMgiIM8/zQn32wu7ngrtj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\njuRPQjCYQJJxfidL2u/eS+J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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "imrow(local_max(ncc),local_max(ncc)*ncc,s=10)" ] }, { "cell_type": "markdown", "id": "4a373274", "metadata": {}, "source": [ "Let's threshold these (since there are too many). We take, as a threshold, 0.8 of the peak value." ] }, { "cell_type": "code", "execution_count": 250, "id": "03cce726", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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qiCgAgAoiCgCggogCAKggogAAKvwX9nOJOzLkFL4AAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gm = amax(ncc)\n", "lm = local_max(ncc)*ncc*(ncc>0.8*gm)\n", "lm /= amax(lm)\n", "imrow(lm,s=10)" ] }, { "cell_type": "markdown", "id": "a520bbe5", "metadata": {}, "source": [ "Let's overlay this on the original image, spreading the values around \n", "as much as the size of the original template." ] }, { "cell_type": "code", "execution_count": 251, "id": "5ed587bc", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 251, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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SPiEu+XRol5eDuTtI5fqV799LAJ704RDh5EeItMQbCcAdL3I8QM2LHyifA+XzqwSo3UA4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\nVJzv/sVJqQAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lm30 = filters.maximum_filter(lm,30)\n", "imshow(transpose(array([textimage,lm30,zeros(textimage.shape)]),[1,2,0]))" ] }, { "cell_type": "markdown", "id": "f0be07d5", "metadata": {}, "source": [ "It is possible that we get multiple peaks per character.\n", "To avoid this, we can use a simple non-linear filtering operation." ] }, { "cell_type": "code", "execution_count": 247, "id": "e4dec9bc", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 247, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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SPiEu+XRol5eDuTtI5fqV799LAJ704RDh5EeItMQbCcAdL3I8QM2LHyifA+XzqwSo3UA4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\nS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pw5rF+//vD/69evb2m0U6nMmjWLl156CYDNmzczc+ZMYDQNNmzYwJw5c05IH3+ScujQ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\nVJzv/sVJqQAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lms = lm*(lm>=filters.maximum_filter(lm,30))\n", "lms30 = filters.maximum_filter(lms,30)\n", "imshow(transpose(array([textimage,lms30,zeros(textimage.shape)]),[1,2,0]))" ] }, { "cell_type": "markdown", "id": "27d9aaba", "metadata": {}, "source": [ "Less obviously, another good way of getting rid of multiple\n", "peaks is with Gaussian filtering." ] }, { "cell_type": "code", "execution_count": 239, "id": "c2351d0d", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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3M/2sAAAAYHva0gE01hSC7Hqa59SJq5pNlU7/uL/2+9lMplmt1j9Wt4rtpIpm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\npdlgQtkwAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lmg = filters.gaussian_filter(lm,15.0)\n", "lmgs = local_max(lmg)\n", "imrow(lmg,lmgs,s=8)" ] }, { "cell_type": "code", "execution_count": 201, "id": "a1208548", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 201, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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cs54w4iVElDJMGO3qIqMXiNy3L7tT21cRj5yvI54LOF5ke2WR5zLi8X09ip6N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WvSLyMs1XOogqf6LyYUxQ7C5VZu9Q8IMJxFLIAtKn2WgJ1OgJIE6QHqTlfsUwpQYLGPiEtuoJ7H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\nmXOhvajQCA8AAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ncclms = where(lm" ] }, "execution_count": 213, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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AAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test = zeros((30,100))\n", "test[15,5] = 1\n", "test[15,10] = 1\n", "test[15,20] = 1\n", "test[15,40] = 1\n", "test[15,80] = 1\n", "imshow(test)" ] }, { "cell_type": "code", "execution_count": 206, "id": "99ab91da", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 206, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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EhIogEXZCQkJCRVAaYR8+fFimpqZk69atcvDgwbJuM5CYm5uTd77znbJ9+3a5\n4YYb5Jvf/KaIiJw/f15mZmZk27Ztcuutt8qFCxdWuaX9QbvdlltuuaXz70SjKgcRkQsXLshdd90l\n119/vUxPT8vvf//7kZTH/v37Zfv27XLjjTfKhz/8YVlYWBhJOeRFKYTdbrflk5/8pBw+fFief/55\nefTRR+XkyZNl3Gog0Ww25etf/7r8+c9/lmeffVa+853vyMmTJ+XAgQMyMzMjp06dkl27dsmBAwdW\nu6l9wcMPPyzT09Od0UOjKgcRkU9/+tPy3ve+V06ePCl/+tOfZGpqauTkMTs7K9/73vfk+PHj8txz\nz0m73ZbHHnts5ORQCFkJeOaZZ7Lbbruts75///5s//79ZdyqEnjf+96X/epXv8quu+667Ny5c1mW\nZdnZs2ez6667bpVbVj7m5uayXbt2ZU8//XR2++23Z1mWjaQcsizLLly4kG3ZsmXZ9lGTx4svvpht\n27YtO3/+fHbp0qXs9ttvz5566qmRk0MRlJJhnzlzRjZt2tRZn5yclDNnzpRxq4HH7Oys/PGPf5S3\nv/3tMj8/LxMTEyIiMjExIfPz86vcuvLx2c9+Vr761a92fcE2inIQETl9+rSsW7dO9u3bJ29961vl\ngQcekJdeemnk5HH11VfL5z73OXnjG98ob3jDG+Sqq66SmZmZkZNDEZRC2OnDmVdw8eJFufPOO+Xh\nhx+WK6+8smsf/kbwsOJnP/uZrF+/Xm655Rbn2PxRkINicXFRjh8/Lp/4xCfk+PHj8qpXvWpZt38U\n5PGXv/xFvvGNb8js7Kz8/e9/l4sXL8qPfvSjrmNGQQ5FUAphX3PNNTI3N9dZn5ubk8nJyTJuNbC4\ndOmS3HnnnXLPPffIHXfcISKvZA3nzp0TkVf+fX79+vWr2cTS8cwzz8iTTz4pW7Zskbvvvluefvpp\nueeee0ZODorJyUmZnJyUt73tbSIictddd8nx48dlw4YNIyWPP/zhD/KOd7xDXv/610uj0ZD3v//9\n8rvf/W7k5FAEpRD2jh075IUXXpDZ2VlptVry+OOPy549e8q41UAiyzK5//77ZXp6Wj7zmc90tu/Z\ns0cOHTokIiKHDh3qEPmw4qGHHpK5uTk5ffq0PPbYY/Kud71LfvjDH46cHBQbNmyQTZs2yalTp0RE\n5MiRI7J9+3bZvXv3SMljampKnn32Wfnvf/8rWZbJkSNHZHp6euTkUAhlFcd/8YtfZNu2bcuuvfba\n7KGHHipZJrpgAAAAtUlEQVTrNgOJ3/zmN1mtVstuuumm7Oabb85uvvnm7Je//GX24osvZrt27cq2\nbt2azczMZP/+979Xu6l9w9GjR7Pdu3dnWZaNtBxOnDiR7dixI3vLW96S7d27N7tw4cJIyuPgwYPZ\n9PR0dsMNN2T33ntv1mq1RlIOeVHKjz8lJCQkJKw80peOCQkJCRVBIuyEhISEiiARdkJCQkJFkAg7\nISEhoSJIhJ2QkJBQESTCTkhISKgI/gdAtMrafBGKGwAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "testg = filters.gaussian_filter(test,3.0)\n", "imshow(testg)" ] }, { "cell_type": "code", "execution_count": 223, "id": "fd55f9fa", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 223, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(local_max(filters.gaussian_filter(test,3.0,mode='constant')))" ] }, { "cell_type": "code", "execution_count": 222, "id": "8b6737a5", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 222, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(local_max(filters.gaussian_filter(test,1.0,mode='constant')))" ] }, { "cell_type": "code", "execution_count": 221, "id": "215af993", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 221, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(local_max(filters.gaussian_filter(test,5.0,mode='constant')))" ] }, { "cell_type": "code", "execution_count": 220, "id": "ce627d97", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 220, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(local_max(filters.gaussian_filter(test,10.0,mode='constant')))" ] }, { "cell_type": "markdown", "id": "1008d92f", "metadata": {}, "source": [ "General strategies for peak finding:\n", "\n", "- if you don't know a good threshold, use a fraction of the global maximum\n", "- you also should have a conservative absolute threshold\n", "- use local maxima after (and only after) Gaussian smoothing\n", "- Gaussian smoothing will also ensure separation of locations (but make localization less accurate)\n", "- you can complement Gaussian smoothing by inhibiting local maxima close to other local maxima" ] }, { "cell_type": "markdown", "id": "5ec13b4e", "metadata": {}, "source": [ "# Peak Finding with Mathematical Morphology" ] }, { "cell_type": "code", "execution_count": 52, "id": "7ed4c96e", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def showmax(a):\n", " \"just broadens maxima a little with a maximum_filter for better visibility\"\n", " return filters.maximum_filter(a,3)" ] }, { "cell_type": "code", "execution_count": 53, "id": "eeb7f2f8", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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e7Ws70xM+o0aNEvGuXbs01oSIAKCmpkbEa9as0VaPoM/9iQKTP0RECcBEgJ1s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\neMOGDUr2cdtttwEAli1bpqR83TZu3Ng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DRERERERERBRj/x9ShxJ0s/JdrQAAAABJRU5E\nrkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imrow(showmax(local_max(ncc)),showmax(local_max(ncc)*ncc),s=10)" ] }, { "cell_type": "code", "execution_count": 54, "id": "32f5fafa", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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iNm3aVBq/+OKLVaykdq1fv7403r17d+77d9oXAAAAQMKEPwAAAAAJs+YPAFAR1vyZXPRg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\nACBh/wOlM8sNf0Nj2QAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "peaks50 = (ncc==filters.maximum_filter(ncc,50))\n", "imrow(showmax(peaks50),showmax(peaks50*ncc),s=10)" ] }, { "cell_type": "code", "execution_count": 55, "id": "7f399da7", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Lb2/v/Hk+g8U7c+ZMjh8/nk2bNpnvNnr33Xezfv36NJvN+eXe5rs9vvSlL+Wb3/xm7rvv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\nPwAAAAAV+z8Ra0ZLvAJHJQAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "thresh = (ncc>amax(ncc)*0.7)\n", "imrow(showmax(thresh),showmax(peaks50*thresh),s=10)" ] }, { "cell_type": "code", "execution_count": 57, "id": "c72a4b90", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(166, 194)" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "unravel_index(argmax(ncc),ncc.shape)" ] }, { "cell_type": "code", "execution_count": 64, "id": "5de584a6", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(ncc[166,184:204])" ] }, { "cell_type": "code", "execution_count": 63, "id": "1313efe5", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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4ef3IRFTat1ppOZFn7yGkP32sCCbn4Ws62Tf4pd4/2yfrZsjc/BH0lo6DHYGu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\n10m9p5N6FPoM6DKNQB7ZM4B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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "ys,xs = mgrid[-10:10,-10:10]\n", "r = hypot(ys,xs)\n", "imshow(r)" ] }, { "cell_type": "code", "execution_count": 72, "id": "86c0a910", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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kJgLDhskd2n/5i9IVkbFsMvTLz7Wf328+59obqKgI+OADuZwzfrzcUl+/vtJV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\nuyLQZhiFCe0AAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "upper = -0.1*r\n", "lower = where(r<1.0,0.0,-2.0)\n", "plot(ncc[166,184:204])\n", "plot(upper[10,:]+ncc[166,194])\n", "plot(lower[10,:]+ncc[166,194])" ] }, { "cell_type": "code", "execution_count": 73, "id": "3101e65c", "metadata": { "collapsed": false }, "outputs": [], "source": [ "from scipy.ndimage import morphology" ] }, { "cell_type": "code", "execution_count": 76, "id": "3945b336", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Hr6uX+VpVNN47ioiIiIiqqdbJnyiK1E37qjfikgy5efMm4jiG4zgIggBnZ2cl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\nkR5etm2j2WyqRtvST2fe5IppmucamMt+TdNUJZy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IRJIUiUQ0PT0tSXrx4oXKyspyr+M9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\nCLC/ABFCrkjKfQbOAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ncc_u = morphology.grey_erosion(ncc,structure=upper)\n", "ncc_l = morphology.grey_dilation(ncc,structure=lower)\n", "mpeaks = -(ncc_u-ncc_l)\n", "mpeaks50 = (mpeaks>0.5*amax(mpeaks))*(mpeaks>=filters.maximum_filter(mpeaks,50))\n", "imrow(mpeaks,mpeaks50,s=10)" ] }, { "cell_type": "markdown", "id": "ec7b936c", "metadata": {}, "source": [ "(template matching and peak finding)\n", "\n", "template matching:\n", "\n", "- template matching turns a difficult matching problem into an easier one\n", "- the easier matching problem is peak finding\n", "\n", "peak properties:\n", "\n", "- peaks usually look roughly Gaussian (why?)\n", "- absolute magnitude\n", "- steepness / localization\n", "- density / separation\n", "\n", "detect with:\n", "\n", "- Gaussian filtering and local maxima (scale space)\n", "- mathematical morphology (peak templates)" ] }, { "cell_type": "code", "execution_count": null, "id": "813dbbe7", "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": {}, "nbformat": 4, "nbformat_minor": 5 }