{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Benchmarks\n", "\n", "We compare here the performances of the various algorithms. See Section *Experimental Results* in the paper for a discussion" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# This assumes the notebook server is running from the root folder of the repo\n", "import sys, os\n", "sys.path.append('../paper/plots/')\n", "os.chdir('../paper/plots/')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All the plotting code (functions named `plot_*`) is in the `benchmarks` module. \n", "Read the source for details, e.g. type\n", "```\n", "plot_allombert_lowaux??\n", "```" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from benchmarks import *\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We ran tests for a wide range of primes $q$ between $3$ and $2^{60} + 253$, and prime powers $r$ between $3$ and $2069$.\n", "\n", "All tests were run on an Intel(R) Xeon(R) CPU E5-4650 v2 clocked at 2.40GHz.\n", "\n", "Unless otherwise stated, in all plots below the prime $q$ is restricted to the range $100 < q < 2^{20}$," ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "d = parse_timings()\n", "primes, ppowers = prime_powers(d.degree.max())\n", "d = d[d.degree.isin(ppowers)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Variants of Allombert's algorithm \n", "\n", "### Small auxiliary degree\n", "\n", "Comparison of variants of Allombert algorithm with auxiliary degree $s=\\mathrm{ord}_q(r)≤10$. Dots represent individual runs, lines represent degree $2$ linear regressions.\n", "\n", "The \"Automorphism evaluation\" and \"Divide & conquer\" variants perform best." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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PH8ZgMJCQkMBVV13Vqu9Dhw7x3Xff4eHhwYgRI3jwwQdZuXIl69at49ChQ63a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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = plot_allombert_lowaux(d[(d.prime > 100) & (d.prime < 2**20)])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Arbitrary auxiliary degree\n", "\n", "Comparison of variants of Allombert algorithm as a function of the auxiliary degree $s=\\mathrm{ord}_q(r)$. Individual running times are scaled down by $r^2$. Dots represent individual runs, lines represent degree $2$ linear regressions.\n", "\n", "The \"Automorphism evaluation\" is still the best performer, however it is joined by the (naive) \"multipoint evaluation\". PARI/GP is surprisingly slow, especially when compared to our own re-implementation of the same algorithm (Allombert (rev))." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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/Pw4cOMA777xT7/jS0lJeeOEFtm7dyt69e0lPT+eVV15h4sSJfPXVVxiNtQu/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\nVIeDrav+lwuFJ5n1zIvoAgLdXVKb1IW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+FXoJmUthSPIQIjWRHT+4C3w9CtWZJCqsWYVf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\nLXt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GHgQgpJTYIFioGQuzQKcj9soh8ldqWdO0BmCm/beieAVv9L/BMuWXiGc0OGrUnKxr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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = plot_allombert_anyaux(d[(d.prime > 100) & (d.prime < 2**20)])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comparison of variants of Allombert algorithm as a function of the prime $q$. Individual running times are scaled down by $s=\\mathrm{ord}_r(q)$. Degrees $r$ have been limited to $200$ for readability. Dots represent individual runs, lines represent degree $2$ linear regressions.\n", "\n", "The \"Divide and conquer\" variant apparently shows a better asymptotic behaviour than other variants, however it should be noted that as $q$ grows we are only able to test small extension degrees. Consequently, the auxiliary degree $s=\\mathrm{ord}_r(q)$ is also small, and it was already noted in the previous graphs that \"Divide and conquer\" is very good for small auxiliary degrees." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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NYx04cICMjAzjGp/19fWEhoZiYWFBZGQk33zzDbNmzWLbtm2sWLECgM8//5yP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E5eDs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D98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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = plot_allombert_p(d[d.degree < 200])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Rains' algorithm\n", "\n", "### Comparison of the variants\n", "\n", "Comparison of the cyclotomic, conic, and elliptic variants of Rains' algorithm, by increasing extension degree $r$. Auxiliary extension degrees $s$ for cyclotomic Rains' range between 1 and 9. Lines represent median times.\n", "\n", "The Conic variant performs better than the Cyclotomic variant for $s=2$, and the Elliptic variant looks like a reasonable alternative to the Cyclotomic variant for $s≥3$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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4+DgQcV/EiPVb+VglRo2RyAcjrXq+J7sHsO0wAPzv6qaRciRmzqYAlwGnqFSq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\naF7fzM5bTEt3MU/FWPWOlq9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C16ZD/YMaz+M8bWpvTt2rdbRtaCP2lVhcol1GrF9LjP1G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kk0yYMKFLxwgGgwkxF4lEGDGi6xGNeDzKjh3XUF//Gjk5v2bw4Mfl6Mhxjvs7N2W/L6N1WSv6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\ntizOL3vP30xGRkbmcPT/J6PMMUd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = plot_rains(d[(d.prime > 100) & (d.prime < 2**20)])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comparison by prime increasing prime $q$, up to 64 bits. Auxiliary extension degrees $s$ for cyclotomic Rains' range between 1 and 9 (darker is larger). Extension degree $r$ limited to $200$ for readability." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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U0RHtUHImnjerftaINiWz6r1x822q0wWhwumJ9bC9eVgT2hZvNKHVbM0pqjXW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\nU6YpTRERkQGmX/bWNMZMBU4Dn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caY8QDGmNHGmBOyHNeAMy2KMWYRcDGwPQ/vLyLDkIIz\nERkqXgMuN8bsBI4B/jPXC1pr64F/Bh4zxrwMPA4cm+XQ/wKqW6ZDz8cJ1t7I9f1FZHhSKw0RGfSM\nMVOBh1uK8YvKGHMc8Gtr7aJij0VEBidlzkRE8mse8HKxByEig5cyZyIiIiIDiDJnIiIiIgOIgjMR\nERGRAUTBmYiIiMgAouBMREREZABRcCYiIiIygCg4ExERERlAFJyJiIiIDCAKzkREREQGkP8HGrQP\nDI4rDVUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = plot_rains_p(d[(d.degree < 200)])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparison with Magma v2.22-7\n", "\n", "Comparison of our implementation of Rains' cyclotomic algorithm with Magma's. Running time of our implementation (in seconds) vs ratio of Magma's running time over ours.\n", "\n", "We mostly beat Magma, and more consistently so as the running times increase. However there are serveral outliers in both direction." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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qmpcZVqoidfEVazKqXPOrCam8Qk72PU/Jqjg69V6tbOL0ZXy59mXbfWlOXx9X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\neuB6v9YVXOkTkJE5lwuVm5xGT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = plot_magma(d[(d.prime > 100) & (d.prime < 2**20)])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Global comparison\n", "\n", "### Allombert vs Rains\n", "\n", "Comparison of Allombert's algorithm (automorphism evaluation variant) and Rains' algorithm variants. Extension degree $r$ is limited to $2^{10}$ for readability. Runs of Allombert's algorithm are grouped by ranges of auxiliary degree $s=\\mathrm{ord}_q(r)$. Lines represent median times (all algorithms), shaded areas represent maximum and minimum times (only Allombert's algorithm).\n", "\n", "Overall, the Cyclotomic of Conic variants seems to be of minor interest, compared to Allombert's algorithm. The Elliptic variant looks mostly useless for these parameter ranges." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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2u51NmzYxdepUI1ArKCigurraaMfhcBjPdTgc/OlPf/pWK28lSZIk8H7dwqXf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8vVu3\n8ujX/gcpJUsvu5Tzbr4Zw5ymA0RhY4EhwbCTEBVB2c53SUy/ZJgcgLqm6rlgdn7iUYjKE6G+AA47\nZ42zi4/WTep+AAAgAElEQVTx3bjkIIwdVffLJTlwtDk4ZMOr1HqstZd0MnRsgsVrGilDGHlHzP8U\nFZy1Wk6XYanBgHDv2fMlUkdQhj3DBZsWaxqNRqM5JZRFdmwbw73nBNgSc3ac9lvWYCSUqEjZKbJu\n9Sw1gL5UH2O5MZa2LCURKRZhUTNKQ6SB4cww3Q3dQN5ZqxCIa2cySCnZ8ZN72X7PPQCsv/71rL3u\nuin3t5XiT6EaTgYTo3gVlJT5vny/nOioqItIXPVlhXu5PC8fyyGDc4sIO3NhseZPgfr4jmJ6SP2e\nGgQ3x5GjKuz24uu66JivYi1iiQh/+Nbuyh9MGOr5REmfWvC1WVs4Reunv2qqGpFEPpZkEoF4BqDF\nmkaj0WhOCX6/mnQl7s/78B5Vq6KM9U00vXYJVr0SDo7nTNqnlnNzHBw/SHOsmc5EZ8VjWmItHJ04\niuM5mMIMBgzCDB06xC/+8Z+COA5hGJx3y9tZdumlxMzYpIKxGn451vT3YAbbAwrL28uw0/nk/8ZC\nTphfAnVzgKgg1kIC2LPVqqnGOeVN/WaE5/bH6BtMk6hL4MoMAwMWhw4okbNgVbjMW0P4+M8dZLL5\nPWP+IEMNWeGH2frBti/UWTMjsPASNThR675nAGf2p9NoNBrNjCHn5pDjDs53jiKPZMAA8zVdGOc0\nkzGy2BkHicSVbu3MMeDA2AE86bG4eXHVY1rqWjgycYSR7EiwuD0s1vr37eOX//TP5FJqStKMRrn0\nT9/HvPXrMYRBY7SRXDo36bNUwnfWTM8DE9V0nx+xNBAY1VrGpacGBJyMctn8EmgQ/uoVDxmExZrr\nQEOzWpheQtY2+en9s/A8ARQLufomi+b2UF9ZNWcsvCkgiD8JveaLr/BGg3AZO1pfPJ36YpQuown1\nszmD9oBWQos1jUaj0bzkuJ6LfWAc57vHIOlCk4V141yMeUo4uNKddEeoz3BmmIH0AD2NPTWXsjdG\nGrEMi4H0AGknTdSIBlEeJ3btYuu/fAEnm6XnnHPY+KY3YkYiwfL1pmhTMCRQM/+sAoYwlCj0XKyw\nIPFsyE+ITrpeysmCO1Bw0pxMPqBNBjtCgeIVUtKt2rTfd8zD8wTRqEcuV3zv7iUJRNHzVBNRodeL\nnKy8YDOs4uMME1w/xkMUBgvgRVwFFRJ/ZzBarGk0Go3mJUVKydhDh3HuO6xWOS5MYL1hDqJ++n8F\nudJl/+h+4lY86EWrhhCCllgLA+kBDGFwVttZRM0oBx97jF9/6T/xHIdFF1zAhe9+V9EQQcJKEM1P\nMPoZaYYwag47+PixIYYwwMkUB/C6NliqBGpOJtaguOTp+GVQTwm5aH3ercsL3PAy9gqcPKpE3bKl\naXbsrC96r2t+vNjlquWs+fgTnkVum1F8XPgzRhLFvXilE6LPF1EqFM9MzuxPp9FoNJqXFS/rMvy9\n3mB1lHFhK+YV7eWREDWQUgbN+EfGj5BxM6xuWz25OwXMqpvFQHqAhU0LaYo2sfO++3j8zm8DsPyK\ny9l8002IkIiwDCuYHgUlvlzpYgmLnCyPHQljCpOWWEthxZWbKx5Q8GyQERXnMRWxFiYcy+G7aeFl\n9v5rVcqBfUdUGXVOl81zBw3SSSU82+bEWLZBRXcUmIKzFnbR/M9SSTAJA5BKXIZ50ZwwUYgSOYPR\nYk2j0Wg0Lwl2X4rB/9mJ05eGqIH1utkYqyrEQdQgaSfZNrCNs9rOwhQmxyaO0ZXoojnWPPnJQHtd\nO4mOBPWRenbcex9PfFsJtbNvvJHVV7+mSEwJBE3RprLXACJmhJxXXaxZhlVw1HzCE6CgesosiSEE\ncroxp65NIJb8/rXS4QKoKIKklMFi9q4ul+a2GOmk+v7Nf5nv+Zuus2aUlEERoYGBkLMmBJix8mGC\nFzpcEH6mM9xVAy3WNBqNRvMiI6Uk9fhJRn74HDLnYnXGETfORrRXLn3l3By7hnaxrGVZWQTHSHYE\nT3ocGT+iHC7DYn7T/Ck/i51Oc/DBhzjwyKMMHjgAwIXvfjdLLr6o7Nj6SH3ZhgNfuPmroyoNG0SM\nCC2xlvKYD9/tkl6h0V56+fGCaQ4tuDk1SenahbVR4aiO7Hj+Ycp7+CZGHVLjLrGYpLkzzuV/NIfv\n/fsBNl9VPoigmGbPWjBgYBV/70+KlrpqLyparL3sCCEWA/8baJZS3vhyP49Go9FoauMmbUbu2kN6\nxyAA8fUdJF7bw7ioHsUxlhsjaScZyY6UibXxnBIhI1kV87GsZdmUthAAHH7ySR756tdIj6hzrViM\njddfx5KLLiw71hRm2b2hINZMYQYl0TC+o1Yu1Bwl0Cb6YHCvcpnmnw9uDkMI1IjoNHBtsOoAqZw1\nfwWVz/hxFdsRrcfO2Jw8lCbeYNI4K0rfYeWidfbEER3zaY3FeM//u1qFymYn/E8a+tBTcP380mN4\n3ZOo4qy90Dy1Wghxxg8XwCkWa0KIHuCrQBdqI+2XpJT/Uu14KeVzwLuFEN89RY+o0Wg0mudJpneY\noe/04o3nEDGTltctIXF2J+P2ODjVz0vlnaKUkyp6XUrJWG6M9ng7I9kRGiINdCQ6Kl4jm0zi2iog\n1snmePoHP+DAww8D0L5kCWdd9Wq6163Dyo2opvySXK56I6ZyzkqcKT9io5JYq1Q2DfBs5Xad3F7o\n25ISXFtNmT4fZy2aUALQTheXQDNj8H/Ze/MoOc763vvz1NL7MvtopJE0krXL+25sgw0Yg02AEHCA\nkACBkOXeC8lNct+TvAk3yUkgCeFNIDeE7BBIwg14AxvCYmwwNjY23iVZ+zKaGc3eM71XV9Xz/vH0\nPtU9PdJ4k+pzjs6ou6qeerpkq7/6Ld+flUX2bWPsUJY9D89w6Jl09bBuqP0NbozVRlBpepOZ7emk\nQeumB2hea71I0wXOctsOePEjazbwm1LKJ4QQceAnQojvoP6J8Ymmc39RSjn1Iu/Px8fHx2eFSFey\n8I2jZH44BkBgJEHPbdsxepS3Wak+XedBxQC3Itoq5OwctmvTHexmJDHScgj7vm9/m8f/48tL3tcD\nAS75mZ9h++tfh6Zp5WgXS8RayAgRklKJKyPUIC4qNhtedhvxQLz1YHjHguy0WqtrA8wfK8/SFNV1\nV4RbUh2UUirvtXqxlp4AoXPgYITv/udRtb4Gyd4A6fkSjq2E4YbtdenIthGvDvbWUNTffH5zZO0F\nFGsv9PovE15UsSalnAAmyr9PCyH2AeuklN8B3nw6awohPgx8GGDDhs7rGHx8fHx8zhwpJam7D5F9\n9BRogsRNG4m/Zrja7em4y/unVcWanWvo/KykQOOBeNVKo5lSscizX1cjokKJBEJTwqpn40Yuf/e7\niA/UTTeoCBxpA2oOZ8yMqfRndkaJuGJazc0sIxBV+416gRUyQlWjXU8cW60ZTEKlu7TeH20llCNy\nyu5CQCHV6K+WmYRYPz+5c756ycjOGLe8bz3SleTSNq6EeFfdvcWZRtZ0qlGz5rRpfc3aSrtefTx5\nyWrWhBAjwCXAo23O6QX+BLhECPE7Usrm6BtSyr8H/h7g8ssvX7nNtI+Pj4/PabP47eNKqBmCvg+c\nT+i8robjJbd9VM1yLCzXImpGyZayFJxC1eh20VokoAfaiqJDP/gBxUyGvs2beePv/b/tI1ZuTeAI\nBMlgUolAx66Jn1JOeYKVI2+a0GpzPsspUUMziJseXa1SqhRlKQeFNFgZ6N2y1MB2pVQ7PQNKANmF\n2nvZGXBtLHOQhZnp6iVX3KTSxUITRJMeAlHTW3dkdhKpak6DNi5Q/qH5Ym2VeEnEmhAiBtwO/LqU\ncrHVeVLKWeBXXrSN+fj4+Ph0TPrBMdL3j4IGve/ZuUSoAa3tLlwXNK0aVesP95MtZcmVcg1iLRFI\neF8PpMbGePrOuwDYfesty6YWhWOrSjHpEjSCtWhdZf4mKMFVXISImnQghKjO+VS1Zh51ao4NpaxK\nT1a6PnPKV45Ib+29ZYRrS5w6Ww5NV/5qFcPc9DiOFubpx11cR9I3HOGWX1jbGEXzfBhNkbXmVKbw\nmEPa7LMm8E5D1qdHfbG2KrzoYk0IYaKE2r9JKe94se/v4+Pj43NmSCnJPDTOwr1HAOh+xzbCu3o9\nz7UcD7HmOpCfh3B3Vaz1hfs4vnicnJ2jl14KdgHLsVqKtfzCAt/7y7+ilM+z4fLLWX/JJe037TpE\n9SAZNweuTVivaySwm4a120UlvMwQGppK6bpudV5oQ52aU1LRrWayMypCF4jW5nuebmSt8gyNALhS\niT/XZnE6x54HbPbu76KQV3vYfc3A8kIN6urJyvM7PaNjTWKtpc9au3v4Ym01eLG7QQXwT8A+KeX/\n92Le28fHx8fnzJCupDSWYfH+UQp7lTVH8s2biV466Hl+yS15j2iyLXBdUqkTTBSmCBvharqzIt4W\nLZV08RJrtmXxwGf+muzsLL2bN3HtL31o2aiaLl0iRpicnUcAZkVs1KdA6ymmwQgqGy80KKQIhruX\n3qeYXnqta6u6suRw+eZnmAatRtaCoLkUCoIH/2OcA09nAdXd2TsU5MJXdbPzukEVGVyO6tD1yrB1\nr8ha80VN9h4txZhfs7bavNiRtWuBnweeFUI8VX7vd6WU33iR9+Hj4+Pj0wFSSopHFsg/O0Nh7yzO\nooryiKBO9zu2ErnA20rDdm0WigveazoWo5kxTuZOETGjbO+/AFAzOSv2HWkrjaEZSwa1S9fl4X/8\nR2aOHCHa28uNH/kIRmD5OZNhoYOUGMJQQs21lYiqTANoxrXByqCZEXS7uHR0FCjR2RyVA8jNKQEU\nKUcbNV2lHb2ijJ1QN53g6N4MD3yln1wui6ZJtmxzueB1mxncEFb763QyQOU8TW/oUq3hIX69Imte\nYkz4NWurzYvdDfpDOuoJ9vHx8fF5qSkeXWDhW8ewjtUiNXoyQGhXL/Hrh6vWHM2U3BILxQXPqJrl\nWBycfY6F4iKDoT5G4uvRUbVgETPCbGEWRzrVerVmgfTUHXdy/LHHMcNhXvsbv044ufzYKYEgLDXA\nwdQMQkawbN/RRqwBWFl0hGoYkLJaZ1d7QB5RNVDdmZoJoboaPt08o5o1KeHBu6d49oczgM7QMLzu\nummSW3dAvM7MtxNxVH+OEfQWnMs1GdQ3GCy9uLaGL9ZWhZf1BAMfHx8fnxcfayzD4rePUdivrCC0\niEH0qiHCu3sx18XaphzbCbVFa5EDM/twrAxbEyP0h8qRJ6eIGUxUB6gvFBfI23kGI43p1UMPPshz\n996L0DRe/Wu/Ste6dct+Fk1ohLUgwlZO/WEjpPzSXFsJtnapyYr3WvW1A5WZns1eZ9UHkFPNBckN\njYJHN88oDXpyPMyzP5xBNwRXX7HIRRfm1QD6aF/tvE7FUX30TQ9WLm46qY0Ig7oJBi0ia5X3V1ms\nlRwXQxMr96l7heOLNR8fHx8fQA1eX/zOcfLPqmJ1EdCJXb+O+PXr0EKdfV2krbSnUBvPjHN88Tgh\nCTu7txM16qJBtkVAD1RTnpPZSUD5qwFkZ2eZGx3lkS/8KwBXvve9rD3/fM/7CwRRM0qoIsqgVuAP\ntfdcW9lsrIT6z9UqqpYaBUStXq16Yw+xJqXqInVdZRWiGeq8JiEyccLiW99RtXtX3DrCxWsfUdfE\n1jSlPTsUMPUCSjfKadpWHZ0t3qukQbUWNWvVeaGrJ9b2n0ozOpdD1wThgE40YBAJ6gzEg8RDZ/cU\nA1+s+fj4+Jzj2HMFFr97nNyTU6qo3NCIXTNE/DXD6LHl68EqFJ0itts4V8pxHQ4vHGYmP0NPqIct\nwT4Mt0nMSUlASkJ6CF3ozBfn0YVOiAAPfu7vOPZozY5z1803s+3GGzzvrwudRDDRODtUSu9Up3Tb\np0CbyafUdAMjCFaucS5n9cNakD4F8TXqvIbNmTWLkPQpWDipfNi8GjA0k4NHwuzZE+LVr85xzx1R\nLEtjZHeSi1+/EfY9DlgQH2q8rlM3/+ZolxGkM6FXL9a01h2hL0D688RsjtG5HGuSIQKGRrZos1go\nMblYYC5rccVIz6re7+WGL9Z8fHx8zlGklOR+Mknq7sPIkguaIHrlIInXbkBPBpdfoImMlWl4nbfz\n7J/bT97OsyG+gXWxdQgPmwshwHAddE0nbITJlDIELY37Pvkppg8dQjdN9ECAdRdeyCW3vdPz3kE9\n2FjjZlsqJWkXvQWRY3n4iLVASph4CuwdEO5SIsuLhZMqVZpcv/SYHlCRNSlh7nB5HtQwBGJK9Ljl\nrlS3RGqmxPfuc7Btwde+FsOyBOs2B3nTB7eimZoSV3qgYdKCepAdCqTm8/QgbW06WuEVkateu3pp\nyql0gQOTaQYSQXavbaxjPDCZZmw+3zD54mzEF2s+Pj4+5yBuwWb+rkPkn1Ku9+EL+ki+cQSjN7zM\nlUupDFyvHys1nZ/mSOoImtDY1buLZDBZns25VCDpQgfpoAmNqBllbvwkY1+8j8LsPJHubm789Y/S\ns8w4wYgRUV/Wjq2sK7yK5hs33fkHrAg+pwhWVtW6NeM6sDgGkT7lrbbkQ5plS48Ftd7ALhWBK/P4\nfTOc2F/gwuv6ePrBOexyFC6bUQLkVW8ZRtPLYqR/h/f+hUZHImmJWAt41N8tkwaFcmSthUBcJeG0\nWCixZ2yRRNhk99rkEkEWDRo4riRfcogEzl5Jc/Z+Mh8fHx8fT6yTaWb/43mc2QIioNH11i1EL/P2\nSluOikVHRag50uHYwjEmc5MkAgm2dW+rTQpwvAWULnRVgyUl84/tZeyOe3ELFj0jG7nxox8l0rV0\nMkI9AqHsOIppJaZWIsQ6oZK+tC21vhfpCRUZ62ohKitea9kp9TNSS9u5ruSJ+2cpWS4Tx8YAMEyB\nXVKf47wLEgxsiFMVULH+hjq8FbNEdGlAoP056s3Gl3qgtVVIpxYibSiUHJ4eTWHqGhetT6JrS/cU\nCyoZkynavljz8fHx8XnlI11J5qExFv7rGDgScyhKz3t2YPZHlr3Wi6JTZLG4iCyn0PJ2ngPzB8iW\nsgzHhlkfX980lsm7G1LYkke+fjdPfO8+8gvKm234kku47pc/jBlcPh1raqaKplm50/ocy1JpRCjl\nvVOqUsLCKISSKk3qRaWOzsopz7W6wfSpaYuS5RIIaeiGoJBzuOnda/nOf4zj2JIrbx7srJHgdGvW\nwKMRoIPI2sBukB61e63usQJsx+Wp0RS2K7l8YxdBw1v8VcVawWbAY1zr2YIv1nx8fHzOUqTtkv7h\nGIV9c2gxE5m3KR5RYij2qrUk37QJYZ7el2rJLTUItdn8LIdSh9CExs6enXSHups2Iz2tLqSU/ODf\n/y/7H/0xAN3r17PrjTczcvXVaB12Egb0AFgr7OxcCZVGhFbCJDulhFzvltZrVCJrdmFJ1Gn6pFp/\neEuUm969lkLWIdZlcusHdKQr6RmKlMVeOWLYSgh1LJA6EXQdRNYiPa2bNM5ArEkpeW58kWzR5qL1\nXW07PXVNEAnoZIot/mzOEnyx5uPj43MWUjicInXnIeyZRhEjwgY979hGeLf3LM9OkFI2CLVT2VMc\nWThCPBBnW/c2grpHNMwpLalhdx2HfQ88xP5Hf4wRCHDLR3+bxM7NKyoUFwhM3QTZoui/Fa5Tm4+5\nHJXImletGkDqhJoDGunzPg51Yi0PTVMZJk+q9QeGQximRqxLCZ3hLeXaNyFqTQiV116cboOB90kd\nnNImkidOPw16cCrDTLrI9jVx+mLLR1ZjIYNMwRdrPj4+Pj6vILKPnWL+zoPggtEfJnHTRpDg5kqE\ndvVinEanZz31zQQn0yc5kT5BT6iHbd3baj5mzdTVq+UWFjn40KMc+tFj5BbUdISb3vteNl10CXOl\nDuZaltGERjKQxBRGayHVirGfKI+xoYuXFy+V6JHXPfLzqlauf3uTD5neeH4l7Slly8jawLD3RIgl\nYq2lkOo0DXqa53iNpGpp33F6kbXRuRwnZnNs6I2wvqez9HwsaDC1WMRxpWdd29mAL9Z8fHx8zhKk\nlKS/f5LF/zoGQPw1wyRu2ogwVs/zKlvKUnSKSCk5vnic8ew4/eF+tnRtaR8Rc5TQOPncXh7+0lcp\n5lR9Wc/QEFfcfDO7rrlm6dzwNmhCoyvYhaEZ1bU7xrFq9hvT+2FgZ/vzK5E16SHW5o8rIVbveSbK\nHmT1Yq3e+61OrLmOZHpMibX+4RaduEIr+5rVDV9vRje9u1BbrXda53g0JmgthP9pNBjMZIocmEzT\nFw+ydSDW8XWxUK3JIBk+O81xfbHm4+PjcxYgXcnCvUfIPDQOArp+6jxir1q7qvcoOkWyJdUNOZmb\nZDw7zlB0iJHESHuh5rq4VoFn7v0Oz373AQA27trFVbfcwvC2bdVrBRJNaJ4TEOrRhU5XsAu9Igi8\nRFTbD1IWapFe1cVphqF7pMXe7VqtXXNkrZiG/Bz0nNcobiqjmOoRQgk2twSi9tU7N1XEsSWJXpNQ\npIXAqaxdEXxeFhrhnroB6mKZjtgVGuDWf4ZOWWFkLV0o8ezYAtGgwflrl86EbUd9R6gv1nx8fHx8\nXpZI22XuqweUZ5ou6PnZ7UQu7F/Ve1QaCkDZc5zMnCQZSLIpuWnZa/Oz0zz0d//ExOEjCE3j+re/\nnctvuknNtqzHddCF7i3WXAdcFzMQIRlMNqZbvaYJtKOomiwY2AUzB2DuiBJsMQ/7kkoK1IzUBrpX\nhETquBJKiSZRrGmto19uqSHqNDVaSYG287drGt3UIAx1Vei/XDNGvYDrpHHjTH3SVnB90XZ4enQB\nQxNcvL4LQ1+Z0AubOromyJ7FTQa+WPPx8fF5BeMWHWa/tJfiwRQioNP78zsJbe1e/sIVUBnOXmko\nmMxOYjkWW7u2Lnvt1J79/OBznyWfSRPr6uLWD3+Y4a0trpNum5o3m2ApT0ILInQLzLr6rpXWqxXS\nSnzppkqB2kWY2qcK/5unAlRSoMFYWaw5KjJmZSEzpSJyelM0p1Udlx5Qa9Qdn6prLmjJkmdSEW+6\nig4uSTkKGro5NEPtsZTvXERpphKwDfNTV78ezHElT48uUHJcLhvpJmSuPH0qhODC4aTvs+bj4+Pj\n8/LDyVjMfH4PpZMZtKhJ3wd2ExheHbMp27UpOkUKdqFhMoHt2oxnxkkGk2oqQROGZhDQAggXnrj7\ndn5851dBSjbu2sUtH/wgkURiyTVVpIOhByh6mOeaQpAMxFVkKj8PRUPVaJnh04isLdZMaYUGa85X\nDQcTT8PQRY2CrWI+G4gBU0oYaobyVRMaJIaXLK86IT3SkBVRVyfWlm0uqOyx+bXQVOqzk9qwYPm5\nea3VCk1TnnFmGAqL6hmv8jgnKSV7xhdYzJe4cH2SxBkMY+/toGv0lYwv1nx8fHxegZRm8sx+fg/2\nTB69O0jfBy/A7GuRSnOdjr7UHddRAs0pLBnIXjm+b24ftrTZEK859dvFIo/+6xeJ9fVxw23vZ+7k\nKN/63KeZPnYEhOBVb30rV91yy/K+aW7ryFpEM9WUg+q55dFNVmZpfdb8MfXTqw6tVFA1aME6QaYH\nVFfoxFPq15oLIFyOTtp5Ja6MspiSjlojPQGJdWB4DLrXDO86uqpYU38W40dzzIwXQED/uhWKtUiP\n6mb1PF/UtKIRVFFIq7KfFQouIwjRPvWcV1msHZ7OMLVYZNtgnIF4m8/v44s1Hx8fn1cahQPzzP77\n88iCjbkmSt8vno+e8BANFZxSW7FWsAvk7Twl13vCAKg6tX1z+8hYGbb3bCceqEXwnvjKVzny8MMA\nTDz9LDOjx5GuS3JgkDd86FfYsMkj+uSFdNXoqSY0oREUAlhqqrskBVqZJuC6alB6c0qyXHfXINZA\nRZDWXgrjT6oI25oLVIqxVFBCrfL8XAfSaiQUyRajpTQDXI/ImlaLrM1NFvnG50dxXbjg2m4CoTZi\nulmsaRotZ3I2XCfUVAWo+Z6djqWGECo6t4qMpfIcm8mxrjvMht7Tm6BxLuGLNR8fH59XCNJ2ST8w\nyuJ9J0BCaFcvPT+7DS24zF/lbglojFxIKcnbeXJ2btnuS0c6PD/3PGkrzdburfSEanMtx597jv33\n3Yem6wQiUaaPHwUhuPRNb+G6d/0Cpiw01T21+4COp1iLmlHId+i/VsrWxlplZxqGpQOqg1Noqgat\nGSMI6y5VYu3Us2pgupVWwq4i+kp5WByH2JrGurkKQigxJVs0GADZrOCeL4xSzLuM7Ixx3ZuXmcvq\nEdFK5Szmshab+qIenZPl14HoUruPVY6OnQ5zWYvnJxbpiQXYPngWz4haRXyx5uPj4/MKoHA4Requ\nQ9jTSvjEX7uexOs3IpYzAZWyoaZrJSINIFfKcXThKAvWAlu7ttIXrrn0FzMZHv6nfwbgmne+hx3X\nvJonv3UP2666lnU7dqmTMp2b3CIlelPkJ2bGCGtB75mcXuRT6qdmQvqUh1hbVPVnmu5tb1FJiZ56\nFqb2qvcGhmuRqdRxleJsNbC9IupadINOzxh8+4EM6XmXwQ0h3vBz69D0Zf4MPdYaTxUYT+XJWQ67\nvawuNKNcZ1d5XRFtL4xYk1J2ZLeRLdo8czJFJGBwwbok2llqYrva+GLNx8fH52WMk7FY+MZRck9M\nAWD0hel62xZCW1oMDG9GutVar2wpS97OdyTSLMdiND3KVG4KTWhs7dpKf6RmByKl5NF//SL5VIqh\nbTu48q3vQNN0bvy59ylxWMyU773CTk3XqXqtRc0oETMCtqW6NV1b2WtE+1qn8wopFSGLDylhZVu1\nujLXUZG12KASX61mfeqmajSYLneIhrtV9yeo66P9rQ1ohYe9RpnFRZ2v3dtDoeDSPRDg1vevxwx0\nYLkhBIuFElOLBbaUp5W7ZaF5aqGAELBrqE6wCaGEWr14qu5ndcVR3nI4PJ1hcrHAFZt62jYJWLYa\nzq4JZdFhrtCi41zGF2s+Pj4+L0OkK8n9ZJKFbx7FzdlgCBI3rCd+w/qVTSRwHWynRLow37YmrYLj\nOu3qVgEAACAASURBVIxnxxnPjONKlzXRNQzHhzG1xi/hoz96hOOPPYYZCnPLf/8tNCkhO+s5rH35\nPdpKjPVtUx2hwsA0TJX+rBzPTtd+aibE+lUqMpRsFCX5lBJXsQHVaJCZhK716ljqeE3wCW3pSKh6\nNB0Gz697Xfd12bWx9WepRtYEroSTBzMMjaiarG/8Z5pCQWf91ghvel8HQk0tRKZo8+MjcwCs74kQ\nNHSkhEhQZ00ixJHpLALBzqG4EmyVpoKGZUSti3QVKDkuR2eynJxXkyikhIVcqaVYc13JMydTFG2H\nyzb0EA6c/uzQcxFfrPn4+Pi8zChNZpm/8xDWMZVCDG7pouttW5Z0e1qORa6Uw9AMDM3A1Myaq3+Z\nXClLtjCLNNqb5EopmcpNMZoexXIt+sJ9rI+vJ2yEsS2LkixiBpU9wuyx4zzyhS8AcMMvfIiu/gHI\nza7cQqNCMa1EWHQA4oNEzagazl7BsdTa3SMQ6oLMKUhPqtoxM6zEU2Kt8jBzLGU5EYipoviKWCvl\n1cD12KA6LgSqSL/DyF9F5IR7lnqx1VMn6p5/fIH7vzLOwPoQsaTJ7IRFsi/AG35uuEOhpu57aKo2\npL6SuXWlRBOCzf0xJHB0WkX+dg7FEYEWo5o6HVzfBteVjM7nODqTxXYka7vCbO6P8siRWTJtTGn3\nTiySypW4YDhJMnJ2Thl4IfHFmo+Pj8/LBNdySH/vBOkfjIEr0WImXW/eTPiifs96IMuxsFz1q4Im\nNAyhxJvt2ljFBfUNX++830SqmOLowlHydp5EIMH2hOr2zM7N8dg37+Tg97+PUyoR7uoiPjhA+tQk\njmVx/o1v4IIbb1K+Z6cr1KDWEOCWwHUwzTpRKmUtBakZyrIi0gN9tmogWBiFmf2qNq1SrxYqp4hj\na2D2oBJxs4cBAb1bamuvJMqkm9CzWaVA21Enlo/tVSJrarTA1GiBQEjj1vcPtx4r5YXQKJRqgrIi\n1pyyWAM4rz+GlHBsJosQsGNN3DvZqemnHVmTUjK5WOTQVIZCyaE3FmDLQIx4OZIWCxotJwgcns5w\naqHAeQMxBhO+Rcfp4Is1Hx8fn5cB+efnSN19CGe+CAKiV60hefMIWpsohFda05UulqwXcOX6NOnW\niuTrGM+Mc2zxGGEjzI6eHfSEekhPTfGjb9zOkR8+hOsooaDpOvlUinxKCaK123fxug/+KqKQWnnq\ns5RXUwPCZVHl1om15no6u1ATc/VRQ82oNQ9M7VXnFVKqQaBSTxYbUGJter8SlD2bVYoQysJ1hVGm\nVvND6ylH1lzHZeywEmvhmE4h63DTu9bSPdBo3pov2YRMHdFqL0JQsuvEWtlATUpJfW3+lvLg85pg\n84j+nc5nRnVvHpxMky7YxEIGlwx1LTGhjQYNJhcLS66dWMhzdDrLUFeITX0dDpr3WYIv1nx8fHxe\nQpyFIql7jpB/dgYAcyhK109vIbihTaoN9WXdSQ1a1UjWdRvEjitdji4cZTI3SW+oly3dW8hMTPLQ\nvf/A0UceRbouCMHGK6/kgjffSnLdOnJzc1jTKex0ji1XXI3hlEXXSpnapyw2Rq4vP4Sy2HPspWay\npXztPQ+xSSUKZ+XK9Wp1jRdGUKUt83PldGl9B6fozP1/JYjamuOHFrAKLl39Ad75P0bIZx2SvY1e\neLbrki06mLqG0aorUmiUXBvT0LBspy4NCnrTNUqwSY7NqDqyJYJthTVrmaLNoakMM+kiIVNn97oE\naxIhzyhvNGBgO5Ki7RA01DNI5Sz2TSzSHTXZ6SUefTrGF2s+Pj4+LwHScck8MsHit48jiw4ioJF4\n/UZi165DLGflAA2pz/Y3cht/oiJyB+YOsGAtMBwbJjLn8tCX/47jj/8EpERoGpuvvZbzb72F5NAQ\nALrQWb9uK+aGcqTPKRf7r5RiRkXAQKUnzUhTGrR+SoGjxGClCcBLXFXEWn5ORddCTZYa8TXqWO+W\nRqGyisX2tTVr+9v7w3EAtlyUIBDSPU1v00UHiUpptvoylkDJdgiHA1i2U+0CdV3p2U25ZSCOlHB8\nNodAsH1NnY+Z0DuqWSuUHI5MZ5lYyKNrgi0DMTb0RNrabESD6vNli0qs5Sybp08uEDJ0Lhzu8i06\nzhBfrPn4+Pi8SLgFm/yeWQrPz1E4MI8sKhES2tVL11s2Y3R1Xs9TcjqIqsESsZa38zw/9zz5QpbI\n4Sx7HvoiM4cPA6AZBluuv45db3oT8f5abVZQD5IINHl5FZv806TbmfhZHKv9vjJQvfJZHLsxDVpS\nEaJqPZzXgHQ9UPZUm1SvQ02WJvE1qtGg2WpDCO9IXQtcV5ZdNNqIjrKYLGRLHHlyGgTsvMLbYiVn\n2diOW14baLEVWwokEDAEFGtTpFwJrfTP1sE4Ejgxm0MI2FYxnl1GoOYth9H5HGPzeSSS9T0RRnqj\nBDroPo6WjZmzRZt4yOCpE0qQX7zBt+hYDXyx5uPj4/MC46QtMg+Nk3lkHFmopfmMwQjJN4wQ3t27\n4jU7jaw9f/+DHPnxT9j6muvovfoy9h59goVH95J54hBWVhXum+EwW66/nl1vvJlId3fD9VEzWrPQ\nqFAqNKY/pQujP1Y1Yj2bW2/GKdWMajNTSvDFB2tpULcpDVqZfOC2SYMCBCJqTqhmevufeXqidZ4G\nzaZt/uNTR9hyYZwb3j7UcGxyNM+p43lMU2BEwhhRh/FDKRzbZcOOJIlu75rDnFXfNOBhzlvGdpUi\nC+hqrxUt69Y1GHhREWgnZnO115qOV81aKmdxYi7HdFr9mQ4mQmzujxIJdC4RQqaOoQvSBZupdIqC\n7XDphu4VreHTGv8p+vj4+LxA2HMF0j84SfbxSbDVt2xgJEHkgj5CO3owelsMXl8GV7qeg9brkVLy\n9B138uw99wAw+8Uvo9/1NZx0rnpOz8aNbLvxRkauvqpqy1FBIIgH4oQqA8wdWw01LxWWdn6mT6ko\nWDFDWzKTSowly1YaxXR57Upkzap1rjpWTaS1S4OCSoUWFuosOTqg4jvWAeOHcxRzDqMHsg3vz08V\nuetzx7FL3mJr17XeY6RktU1A4bQRa6VyZM00RPVaWF6sgRJoUpYjbMDWvlD1M7uuZCpd5MRcjsV8\nCUMXbOyNMNwdIWSeXi1fNGgwnlIC+/x1SboibebV+qwIX6z5+Pj4rDKlU1nSD4ySe2a62owZ2tlD\n/Ib1BDeeeaH1co0FruPw8Be/wNHv/xCEoOvqbWSfH6c0n0Y3TTZeeSXbX3sjvZs2eab1NKGRDCSV\n15nrQnFBiTQvpFT+ZaBqxtqxcFLN2QzG1a/FifI4rErNml35ALUUKNSibV5pUKjVrTWnQNtRMcXt\ngNlT6nNlFmykKxGawHEk3/3yOHZJMjQSpqs/gO2alEpgWw6J3hAjF/ZCMdWwlushzNw2AyVKjkRK\nCJRTifUNBloHWnP7mjgSqWrYpGRDb5SxOWVmWyy5RII6O4biDCXDSxoWVko0YLCQK7GpP8qapG/R\nsZr4Ys3Hx8dnlSgeXyR9/yiF55XbPBpELhkgfsMw5uDq2RZYbawyrFyOB/72s0w+txeha+x8181s\nv/QKwkaU2ckUyaEhgrEWpqmAoRkkA0llrmsXVcSq3ciozFS5USAMTpvO0Py8Om9gp3odTIA8qTzU\nnGaxZjemWatp0BbqpGICG+72Pu5JZTSTtuzc0dmJYnkbknzOIRIzeOw700ydLBDvNrn1A+sJhnXl\nwabXfa06JWh6JEXbIWA0isR2kTXbBSTVuq9qg0EHkbUKla7QY3N5TqTyuC70xALsHIrQGw10NNOz\nE9b3hIkFDTb0RlZlPZ8avljz8fHxOQPs2TyFg/PknpquThzA0IheMUj8+mGMntWNMBTsAoUWEaz0\n9DTf+6tPszg+jh4N8Zpf+TDrNq5VBzWNga1b265dbSQAJdKsXNvzkRLmjyqxFOuHuaNKWHlFrBZO\nqpqy6IB6XZkCkJ9XYkkP1CYVWNnGIeuyTYOB0NT0AjPSel6nFxWBoungtBdrMxO1551JlUhNWzxx\n/yxCwOvftVYJNWgUapW91WE5LrYrMZvEWRutRskVSCRBQwNZazCQKxBrANsH4xiaRslxWd8TIRZc\n/a//eMismuT6rC6+WPPx8fHxoDSVo3h0AaM3TGBdDC1cNjst2BQPL1A4OE/h4DzObO2LXIR0Ytes\nJXbtWvTY6tbrSClJl9IthdrUwYM88Jm/ppjJEBjo5saPfoSBvv5aHdky0aOwESYeiKtoUD7V2USC\n7LSKlg3urq3vFEFriqzYRcjNqFq1ipAzwkq85ZS/HIEI5C1VG6c1RQ5dp/WoJDOkjq9EqAENkbU2\nFPMOmVTtWcxNFvnxt2eQEi57bS9rN5U/ayshWUe9T1o9XqnRCnZZoNVH1qSUyjZvBQExIUTVONfn\nlYcv1nx8fHzKOGmL3NPT5J6cojTWWCxv9IXRIgbWyXS1Dg1AhA1CW7oIbe0mfGEfWmj1/1q1XZtF\na7FlU8GRh3/Ej/7lX3Btm/CWdbz6136Vge61YNV9hhYjpwSCWCBG2AgrYWdl2od66pk/piJa0YGa\nd5pdVO/Vkx5XaybW1t1YQDCmIngAZrS1SGwVrQN1r0qjwkoQnYm12VONecwffn2KYs6hf12IK15f\nN3rKa3/K66P6PIu2xNQEXk/XkRK9WYwKDctW7xsV7z2p6tWAFUXWfF7Z+GLNx8fnnMa1HPJ7Zsk9\nOUXx4Hw1zyRCOqGt3TipItZEBnumbCOhqY7O0NZuglu7CAzHES+g4WfBLpC20tUuwKM/eoTjjz/O\n5lddw/DFF/P0XXfzXLnjM3H1Lq5497sZqIii5sr1ppFTutBJBpMYCMjOrmxsVG5OCbuBXUqQ6OVI\nYvNEA+mqgeuR3qUiLphQaVCoHfNqnnDtFh5rpvp1OqKlItKWaTKYnWiMZBZzDoYpuOnda9GNuvu2\nWkdoIB0sx1VRMYSnFnZciV5vhmwEIZTEWkxjaKJaVyapReJ8sXbu4Is1Hx+fcxJ7Ns/id0+Q3zOD\ntMqiRheEtvcQuaSf8I5ehFnuwLNdSpM53GyJwIb4CxI980JKyaJVM58dffJJHvqHf0BKyegTTxCI\nRLByOYSm0Xvr1ex83etZm1hXt0CzWKuphJARIm7GEY6lIlrLpEmXUInaRcoecZWZm81iLTuj3uvb\nvnSNYJ27fqWj08vst8VcUyq2Iqcx77LTNOhMubmgf12I6TEl3K79qcElMz5besAJDXCwyvM9JTQZ\ndyiqqVChqXq+8vOwbIlpaNWUp5S1c32tdu7gizUfH59zDmm7zHx+D/a0ipYFNiaUQLugHz26tEBa\nGBqBdS9tvc/MkaM8+Lm/Q0rJxisuZ/bYcTLT0xihEP3vuoHhCy5kY2Jj40XNAsx1ELpZS3taWSg0\nTSLoFLuoBIpefl6aoWrQmmvqFseUqIp4GP+GkrXfB1YYWROiFo07rchaRawtF1lTYm3XVV384K5T\nbN4dZ/dVHhYhrWxFymLQcsoD2PHOMkspVf1dMNngyWE5LqauVQe9q5o1dexMrTZ8Xjn4Ys3Hx+ec\nI/39k9jTeYy+MH0f2H3a5rQvFumpKe7/9KdxLIvzrruOa37xA0gpOf7sk4yZ8yT6B9javXWpBUOT\n5YYuBMlQN4bQy1Yay/iitcMp1qJpFYxAYyrVyqr79JznLaiMoEqfug7o5bWcFjVrepOI1gN1ouZM\nxFrryJrjyKrH2nkXxNl6UYJASPO2umgp1soiq1xo5gqDhqLH8h7sYDeEl/6DwLJdwqZe3a5EpUzB\nT4OeS/hizcfH55yiNJ1j8X5l4tr101te9kKtmMnwvb/8SwqLiwzt3s2u9/w0e2f3UnAKFPuLhPQu\ndvTsQG+OEFn5aghHCIjoYSKBpIrQ5Ga9040rwbaUOKvHCDWmQRfHytYajSOaGggllajTdHWuZ4OB\nvVQYNte/rQTRvtaskHM4tjfN3h+nsC1JstckHF3m67JNzVr9xAKpBZCy0HDcjfTjthB7JcclETKq\nW3ZdWVez1n5LPmcPvljz8fE5Z5BSkrrrENiSyGWDhM5bgeP9S4BtWdz/mc+weGqS7vXDXPMrH2Lv\nwgGEECQDSUJGiP5wPwG9STS5brWmLKCZxMwohqarqFc2t/L6NC+comoQqKDpSlBVOjPzKdVYEBuo\nNR940bu1JtB00zsNKp3GyJXQVMqw+nqFqqU+mlb+fS5jc+jpRY7sSTN+JFd9RKGIzk3vWeexSB2a\n3noPQqtGwkDgalpDHlSWr21l31G0XQKGSoPWD3GHZYbK+5xV+GLNx8fnnCH3xBTFwwtoEYPkLZte\n6u20pGQVOfHsUzzxza8zffAQke5ubvj1j3K0MIorXS7su1DVnLVcIItAEg/ECOl1EamVdHsuh12E\naN3amqHEmmMpoXjqWRVp693Sfp160aUZ3hE/122MXJnNn32loqXufCFwpeArnzla9VPTNFi3Ncrm\n3TG2XJggHFsuqtbmuNCq4krqBqA11qxpKr3rNcVASontuJiaVkuDytrgdz+ydu7gizUfH59zAidb\nYuHeIwAkb93s2UjwUpJPL3Lkicc49NgjHHvmCeyiSiea4TCv/Y3fYEZPs1hYZGv31vZCzbHByhMx\nwo1CbTVxSuWpA/ViTa+9Hn9K6aGhC9tH1ZrRWkXWmhoMmlOgK46sNZ4/OVokk7KJxA1edcsAG3fG\nCEVWMMy8XUepZtZ1ehrKuqPusCx/LtddKtZsV+JINcS9Up/mSlmN1PkNBucOvljz8fE565FSsnDP\nEdycTXBzksilAy/o/VzHIbswT3ZujvT8LNm5OTLzs2Tm5rCtIv0jm1m7ZTuRiMmxfQc49PiPGNu3\nF1mXnhzcvIXzLruKgSsuxIppjM/vZ010Df3h/jZ3BoppDE0n0k7QnSmVGaD1NWtCr1lpuDasvWTl\ndWW6CaV843uuUzbzrYx0Ciwd63QmkTXg2F6Vut16UYLtlyW9Lmg/Q7RdZE0zqpEwqRtLU57lyJpE\nCTatToA5rppWYBp6dcfKZ628JT8Nes7gizUfH5+zGjdvM/fVAxT2zIIu6PrpLWf8JSelJJuaZ378\nJPMT48yNnSB1apzMfIpMao5cKtUgvJrZ/6MHl7yn6Tobdl/CeZdfxXmXXUWirx8pJSfSJ9g7/Qwx\nM8ZIYqT9xkoFcErEg8kX9ovcLqdTmyNrwVgt9RlqIXraoRlLI2vSqa0PjWnTCmcQWZs/leXQU2r6\nwsadbexZdHOph1yFtmJNY9GSzGRK9IVNQNRpPtFwrSslWp2QLDkuUoKpi1qDQXncFPhp0HMJX6z5\n+PictVjjGWb/bR/ObAER1On52e2Y/SuL9kgpmRs7yfFnn2Ti4H7mJ8aYnxjDyudbXyQEkWQXse5e\nYj09xLp7iXb3EOvpQdN0Th0+yMT+PWTm51i/YwfnXXU9my69klC0USw4rsOBedVQsL1nO1q7dJuU\nUEwTMUKY7cTDauAZWdOUUNv4qtNfVzeXWne4dWJNCDVTdAkrF2uLM3keu/co+x85hZQQ7zZrcz5b\n7a2lWGufMj2RcjgxW+CCuCQZ1qrGHbKpMcGRsuFLuVhSZxqasgupTK6qRNb8NOi5gy/WfHx8zjqk\nlOQem2T+a6rz0xyK0vvenSuy6UidmuDRu/6TY888SWZ2ZsnxUCRC95o19AwO0j04SPeaNcS7u4l2\ndRFNJNADIWX0aoQbTE4Bzr/mSrBytTc0AyJLB5EfSh0iW8qyo2cHweXqz6wMGoKocQaWFp1SES31\nexJl4dHhWFFPNENF0qRbqwOriDVR7jbVPATrCiNrU6N57vybZ7CLDpom2PWqfi6/IdE4PmrJ3lrU\nOAqtfWQNyDtqRujB6SyXrk/U0qBNazZPByvYjvL+LY+hUsa4stqM4PusnTv4Ys3Hx+eswrUcUncd\nIvfEFADRK9fQ9VObEWbnBeMnn9/D3X/xJxTSyt0/nEiy8YKLWX/eCL1Da+geHCQSj7dfxLXVdACR\nVhGnQLRsTeF41GXZaqB5uGYlIqVECMFwbJieUE/7e5WbChKBeOv0p23B+E+UVUa0b7lH0B67qIRG\nfURJ0zm9sU91VESPU6r5qlVsPTSjTQ1c5/dNz5e49x+PYRcdRi7o5brbtpLs0mozSltRmUHa3LVp\nhpYVi3kHTNMgX3I4mSqyuZzJlU21d80docWSixACU68IVIkra80IvlY7d/DFmo+Pz1lDaTrH7Jf2\nYU/mEKZG19u2EL1scEVr7Hvwfr71uU/j2DabLr6M6979Pvo3jCDckhpevlKkVOKslC+78Ht84YM6\nbgSrthRCCLZ1b2M6P738PawMIT241G+tnuKCusfUPlh/5VKT2ZXgNBniClH7dSZUphS4JaC8v2J5\nHFYw3nrPHd534liOB+44RW7RZt22Lt74yxegG1qtBq8VQtSJ0Waxtnwks+gKeqJhbCPIifk8a/sc\nAoa2NLLWLNYcFwEY5XSnEKJs3aGO+5G1cwdfrPn4+LykSMelNJVHGAItZCCCOsJsMdKnDbmnp5m/\n/SDScjD6w/T+3E7MNUtTiy33ISWP3P5lHv7KvwFw8c1v5sb3/RKaXo4eFbIr2o8ny00NKCyUxyi1\niQLaZR+zYEJ1RZYKaI5NLLhMQb9V3r90YWovDF18+uLKsZamQNVvTm+9ChXxUl+3lptVUclAO1G0\n/H2f+sEsD92joq1dA6GaUIOWz9t2XQytluYsOBLpOITN+s7U9hYwrutiORqBgM5QMsJMpshCwaU/\npsTadLqIJqA3Flxi32GVXDQBRjmyJoQSdBVRp/ti7ZzBF2s+Pj4vKfNfPUjuyanGNwWIoI4W1BFB\nQ/0M6WgBXb1fEXXlc0qnsmQfPQVA+MI+un9mK1qw87/e7FKJ7/zdZ9j74P0gBDe+75e49E1vqZ3g\nuqtrKNsKKZXzf9Rj6DkoEVNIqeBOfg4CcShliZvR9s0HoASeGYaujTD9PCyMQteG09unXYRwd+11\nReysamQNlTIuLEBiHW0F2TL33f/EQlWoXXJDL5fctJFQvc9ei2eXKzrEwwJR/ny2hHxRCcmwqXuY\n8y6lUHJBQCAYIhxQ6+RsidR0XODQVAZNU2LNaRJrBdtRYrGMVo6sVcSar9XOHXyx5uPj85JRODiv\nhJouMLqCuEUHWXSQJRdZcHAKDtChSNIFXW/eTPTqoRVF5fLpRb72qY9zct9zmMEQt370tznvsqsa\nTyrlvFOXLwSOpWrdQonG911H1VVJMDQd23WgmCaoBwh2YjxrZcGMQmKtilbNHVGCK7hM7R3UauzM\nsHoOzUPcV0s1VGrWKnVqhZSKBEZ6l7mH97GS5bLnkXl+9A0l1K598wAXv7oXQk3PS4glPmqOlBSk\nICoFesW4Vqr7ZIo2UggiHYi1fEk1SAQMHV0TBA2dfMkFzWQ2Y2G7LriQKdjEw41fyZbtYNY1Pagk\nrIqsaZrvs3Yu4Ys1Hx+fJVSK21/Qe9guqbsPA5B4/UYSN66vHXMksmhXxVv1Z8FufF1Ur3FVI0Fg\nfQfCo475iTHu/LM/ZH5inFh3D2/7f/43g5vOW3pic0PAC42VVWKoIsJcV0XcpCRqhImaEUquTd4u\nEOvEeFa6SnBGy4a6/dvh5GMwuQeGr2iddi0VYP4IpFXUEjOs/NOkbJxMIFYpslZtMCiLtdysElFt\nPNtcx8W2HOrlVyHn8MxDczzz0DzFnBJLl9zQq4Raq302ibVs0UaacRxh18RaXbdmxjGh5BAJLNMJ\nWhVrKkIWDujkchI0k8nFAqauUXJc5rIWsZBR/X/PdSWWI+uaC2r9Da70hdq5hi/WfHzOcaQrsWfz\nlMYyWGMZrJMZShMZjO4Q3W/fumIB1Cnp75/Enslj9IeJX984KFvoAhEx0SKrMxLKyuf4/hf/mekT\nRzFDYQKhEGYozNEnH6eQSdM/spmf/l8fI97r0SVpW7VIz4tJYQHCverbubAArkPYCBEtizNTMzAD\nbUxc67HKkUGzXMOnB2BgF4w/CbOHlHirx7Fg/jgsjqnXXRtUR2t+HrJlG5N6kaitUs1apeOykgbN\nzUGoq+WgdCkl9372GSYOLfC2X15PJG7w1A/m2PPoPLalIqGDG8JcdmMvI7vqn5XHPjW9+ufsSEnR\nFRAK42qFqoh06u9tRkgXbKSESEDHdiUlx6XkSOazFqYuWNcdoVAWaxXRFTF1piyXgitI5UoMd4dJ\n5UvMZots6I3gStCFGjWVLdqs7apF74QQ2I6LoQu/ueAcwxdrPj7nEA3C7KQSZ6XxjIpONVGayDL1\nt08Rv3EDideuR+jL1EStAHs2z+L9owB0vXULwli9tZvJzM9x55/+IVPHDnse33zpFdz6kd8mEG4R\noSrlvN9/oXEdlQYsLIBTIqgHiJudN0w0YGXUz2Dd9eFuJcJSJyDSo6JurqNq2VInlN9ZfAi6RmpT\nA5LDSvTZ+UaxVqn5Wg0BURnmXiqoZ5+oCPmlax/48SQn9qgO3a//0yhWwanasm3YFuXSG3tZuzmy\nNArlVaNW917OsnFN9Y8UqQWqYq2SBpW6WX0vU7RVFK58re24PDOWImzqrOuOVI1tK5G1SFDHEQaj\nqRISyWAihK4Jjs1mKdoOjivRNUG6UKLkuHSFa/9gEUDJkQRcf3rBuYYv1nx8zlJWIsy0RIDAuhiB\ndTHMdTHMNVEyD4+T+eEY6ftOUHh+Trn/D5y54aqUktTXDoPtErm4n9CWruUvOk1mRo9zx5/+AemZ\nabrWDPG6X/xVAErFAqVCATMc5rxLr6x1fC7dLNiFF2x/y2IXwbYIaCYJs8MomhdWVomR5pRpz2YV\nLZt+XomjhRPqntF+6NkEXpE7ITwGqa9SZA1qw9zzs+p1pLt23zqKuRIP3X4IgGDUoJC1QcCWC+Nc\nemMf/es8xlLVf4Yl7ykx5UpJwREQVBEtVw+AEGpOZ8WWtmmKQn0146HpDJatukhdV1KwXUxdOWwO\n8wAAIABJREFUI1kWXQUrgDTDnEqXSIRMwgGdnmiAY7NZ5rIWA3G177msqtXsidYSvEKoEVSulH4n\n6DmGL9Z8fM4inMUi6YfGsU6kOxNmw3EC62Lo8doXQj6T5u7PfByhabzhfb9G+q5jlMYyTH7mSZJv\nHCH2qrWIpn/WS1dSGstQ2D9H8USa4MYEsevXoQWWiqDC3lkK++cRQZ3krZtX/yGUOfHcM3ztU39C\nMZdlaNsO3vbbv08kscJ5laX8i9dY0AJD00m2M7vtBCujBFZzREloKh168nGYPahSjgO7G8x5O2K1\nukGhNnIqN6fq9qqCsXHtR792lPyixdB5SW764G4OPnSYzbtidPV30GzRKg1KY1QNap2XtlueqiC0\nFiOvYCZTZDpdJGzquFJiOa5qEtA1QoaOpgl6yx+nElUDiAYNQobObMaqdoTOZixMXSNa19WsCw2r\nLNb8mrVzi47EmhAiCuSllK4QYhuwA/imlHIZ0yAfH58XC2siy+y/PIezWOue1BMBzDbCrJlCJsPt\nf/L7TB5REYtvuf+Ht3zkd0l/8wS5n0yycM8RCs/P0f2ObWghncKBeQrPz1E4MI+bqf11UDwwT+aR\nCZI3bSRy+WBV3LmWQ+prRwBI3jzSdi9nwr4H7+e//vbTuI7N1itfxZv+x29iBlZoAuu6tfThS4QQ\ngq5A4vS+mO2iSmWaERVZa1WkH4jC0IW1rsvT2mhFBK5SGtQuQrEIsf66e9TWnj6R5rnvn0Rogle/\nezvxnhCX3jjQeW1hi8iaKyV5txZVg9oczoLlIgWqds/jest2OTSVIRY0WN8T4ch0hqLtUrRdAoaG\nVv5/IGBohE2dou3SV/fff28swPhCgZKj0qbzOasajas+Gk2QK9gkpOmnQc8xOo2s/QC4XgjRDXwb\neAz4WeDnXqiN+fj4dE7h4DyzX9qHLDoERhLEb1i/rDBrppjLcvvHlVBLDq7Byuc59vQTfPfzf8Mb\n/9v/JLyrh/k7DlE8lGLyU48jnbqJ0oCWMBld3M/Y9PNsSVxCD0PM33GQ9ENjJN+0idD2bhbvO4Gz\nUMRcGyV69RBSSp5/6PscffJxkoNDDG46j4FNm4n39p+WQJFS8uO7vsIPv/yvAFx261t59Xt/EW2Z\nQdueFFK1uZQvIcv6p3khpWoesAuqecAuQGBd6/PrPdNWitBq4mW1atasWY99levFXMkD/74fKeGi\n1w3TNxxb+b09a9Z08iUH12hM/UopcV1J0XYADWl6i/5DUxlsV3LBYLxsXKsEXLHkEgnW/vvTNcFw\ndwTHleUB7crcticaYCyVZzZjETJ1cpbNmmSooZGgLxbgxFyWRbNU9WzzOTfoVKwJKWVOCPFB4LNS\nyj8XQjz1Qm7Mx8enM7KPn2L+jkPgSsIX9dPzjm0Ic2Vf8MVcjts//jFOHT5IcmCQ2z72CXKpef7v\nH/0Oex+8n2hPL69+z/sJbEwwf/tBCvvmQIPApiThHd1oGyPc/fcfZ+LofqLdPRyf3MtwaBsXD7yO\n8CTMfn4PgU0JrONpEND1ti2kpib47j9+lhPPLv2rJBRPMDCyWYm3kc0MbNpC95ohhNcQ7zKu4/Dd\nf/osz973LWVs+wsf4tJb3rri56keSKY2rPyVSHpCFecbITVeCiB4BjVv7WgQwquUBgUlvsJ1M1HL\nomXvQ+NMHVskmgxw5Zs3nd69m4SdZbsq8+oA4cYUpyuV/YYElZb1EHqTiwVms0U29UWJBg3VASrB\nclyKtkNPrPaPJl0TDCVD1To3Q9NIhAxKjqpzm04XCZkaEkiEzYatDiVDCASZot2QHvU5++lYrAkh\nrkFF0j5Yfs+X9T4+LyFSSha/e4L0fScAiL9mmMTNI0vqyZbDyue44xP/m4mD+0n0D3Dbxz5Boq+f\nRF8/b/mfv8tdf/5HPHb3V4l193Lpm36K3l/YhT2TR48F0MIGViHP7R//30wc3k+if5Cf/YNPkJmb\n4xt//UnuOfq3bO+5kvP7rsc6qmY8Rq4Y4Kmf/BeP3P5l7JJFKBbnirf8DIVMmsmjh5k6doRCepET\nzz7VIOTMUJiBkU0MjJzHQFnE9Q5vQDcMrHyOr//Vn3HsqZ9gmAFu+chvsfXKV53eg62Mc3ql4jow\nf1SlPYcuglPPqShhpzYfK6VevKxWZA3K47Tq04CCfNriR3eqrt5r37mVQKjuK6zTe3uc9/TJFOl8\nid0DS5+RK2XVK81LqBVKDoenMyRCJuvKNhsBQ8NFebW5EkJN3c66JrDLUWlDFxi6RiJs0h01mc4U\nCQd0DE0jGtAbJGjQ0OmOmuQsx0+DnmN0KtZ+Hfgd4E4p5R4hxGbg/hduWz4+Pu2Qtsv8HQfJPTGl\nIlVvPY/Y1WtXvI5VyHPHn/4B4wf2Ee/r57aPfZxE/0D1+KaLL+MNv/wR/uuzf8n9X/h7ol3dbL/m\nOsx+1Q1YKha488/+kPH9e4n19nHbx/6ERN8Aib4Bfv7PPsN3/uFv2PfwDzicepJrd7+Tvu71fOPh\nzzJ5Un3h7nr1a3nNz3+wofBfSkl6dpqpo0fK4u0wU0cPk5mbZez5vYw9v7d6rm6a9K3fiFUoMD9+\nknA8wdv+18dYu22Hx4fNqnmWepu/9ly37Jr/0jYVnBELJ1VUcGCXEj5DF6nXZzK4vR0NAmY1Imvl\nKFRzalYIfnTnYYo5m/U7u9ly2cDSa6trVGaMepVVN+6xZLuMp/Kqu9JjIkHzCKhmDk9nkBK2Ddaa\nQNSkAk35sAEhszG2oVKbal2zHC2OBAzWJELMpBeYWMiTCBsIIRrKAYSAwUSIQ5MZ32ftHKMjsSal\n/D7w/brXR4CPvFCb8vHxaY1bsJn90j6Kh1IIU6PnPTsI71x5YXipUODOP/1Dxp4vC63f/zjJgTVL\nztv9mteRmZvlh1/+V775f/6CSCLB+t0XUrKK3PXJP+bk3ueIdvdw28carw9Gotz6kd9m5KJLue+f\n/5b7n/1i9VjXmiFe/6H/xsYLLl5yPyFEVfBtueLq6vu5hRRTRw8zeewIU2URlzo1UW2G6FozxNt/\n5w/pXtMkWqVUAqxUUEKg1dxNgOLCy6JOrS2pUWVWu/7KpZEep1T2TeutiR0haj5purn8MPmVUp8G\nXa1uUFjS7DBxJM2+hyfQDMGr37Xdwzut/FoP1D57fn7pTNe661xXMjqfw3UlDnLJ5I5s0UbXxBKx\nVWEuazGXtdjUF22oIQvoGkFDI1u0Qcqqx1qFeqFl6LXfj/RG2TO+iOW49MeD5XMb79kTDWDqouE6\nn7OftmJNCPF1Gi1kGpBSvqXVMR8fn9XHThWZ+ZfnsCdzaDGTvvfvJjC88gkDpWKBO//8jzi57zli\nZaHVtWao5flXvu2dZObneOpb93DXJ/+Yd/7eH/PQV/6NE88+RSTZxW0f+/hSkYQSXuff8HrWbtvB\nvZ/+JDOjx7niLT/DVW+/bcXdmZFkFyMXX8bIxZdV3yvmskwfO0pmfpaRiy4jFGtKYzm2+sKudAk6\nlqpH86rfsrJK0L2cyc/D3KHawPdIT+Px1AnlUdbjMTILaoazq8lqR9ai/TB0cbV79dTxHE88MMvU\nmBJdl75hI12DXn5/QkUPw901QRbpUc+svv6wvF8pJfM5i/mchSZEeQKBJFCexZm3HJ4+mSIeMrlg\n3dJOWldKjkxnCJt6w5QBUGnQkKmRs1StW9BoEnui9sOoU2NBU2dtV4iJVIGeSIBo0GiKrAn6Y0Fe\nvX2g4Tqfs5/lImt/Uf75dmAN8KXy63cDky/Upnx8fJZijWeY+fwe3EULoz9M3wfOx+hpY/zZgkpE\nbHTPM0S7unnnxz7hKbTqEUJw4/t/iVxqngOPPsS//95vIaVLOJHkto99nJ61w22v71k7zHs/8ZeU\nioXWkwJOg2AkyvCu870PlvLK/b85pWllVOF9fTrUKUExvWr7ekGwi2qWpxFW3Z35uUaxZhfV9IH4\nmtbNBLqprl3NNK9Y5cia0Kqf6+jeNN/60hiOrfab6Atx6Rs3el9nhMoNAHV7EEKJt+Ji3diw2jB2\n25WkC8pMVwjVaBAwNBxXsm9iEac88qlyfsjQMMqTPMZTefIlh91rk0tSkqauETR0MuVxVEGj8XhF\nZ+maWBIhHOmNgRRs7I1W7T4aPqauEVvFaSI+rwzairVy+hMhxKeklJfXHfq6EOLxF3RnZcoeb98H\n/kBKec+LcU8fn5cbhYPzzH5xH9JyCGxK0Pfzu05rbqZtWdz9yT+uRsTe+bGP07O2jaVDHZqm86b/\n/pvkFhc4ue85QrE47/y9P6Z3eENH1wtNW1Wh1hIp1Zez1WJMVOV4RehUolQvRp1adlpFenq3rkzY\nSFcJNdeBtZfAzAFlGlufKZw/qn52b/JcQiGUuJKrOOt0tbtBy+x7LMX9t08gXdh5RZKRS9YxuLkb\ns5VlhdniHy5C1DzmpATp4riSvKXS3Qv5EvGQQSpXovj/s/fm4XGd933v5z3L7DPYF4I7KW5aLWv3\nvtuyLcu2ZDdO07hJ06Zp7+1te580N0mTZnW3JG3uTdt706Zxk/QmseVFdixbtiXLtmyJlCVrpSiS\noriAAIgds5/tffvHOzOYDcCABAiQOp/nwTPAmTNn3hnMzPnOb/n+/IAUFqem8xRcn+5EhPmiS67s\n8dzoAiNdMfYMpHD8gLOzRXqTkYYJA9W7s02DRMRET1FVLZG1qkCz2nQ3D3fFGO5a/ZewkKubThsM\nkkKIPZVaNYQQu4FVD6kTQmwH/gwYQqdX/1gp9Ycr3OyXgM+t9r5CQq4WSi9OM/OXxyCoWHN8Yv9F\nzdL0PY+v/P7vcub5H9dSl31bt6/qGFYkwkf/xa/x3Le+zt5b71j17dcdGWjh1Vyn1IzvaDEXSVSG\npK/zoHYlYfrE4mD0RH9rCnM5Zk/purvB67SJbaJPD2CvNg64BW3XkdnWtki+hjAaBpavCWvcDaqU\n4pnvzPDkN6YAuPXd/dz+vn5Eqn/55pBOEFqs5kseCt3J6QWSoUyMhaKH40suZMtMLJTZ1pOgK24z\nX3R5ZSKHUopCReCdmSkiFezpb41gRipRr5htIpU2sjXN9pG1sO4spFM6feX/M+AxIcQp9FenncDP\nX8T9+cD/qZR6RgiRBp4WQnwLbQPyr5v2/VngJuAoEH7NCHldUnj6AnMPHAcFqTeP0PWhPau25gAt\n1L76B5/htWefJp7OrCoi1kw0keT2e+9fegel1iYdtlp8pxIhk53t72T1vl5pfdflFbV9hpuHru2Q\nm4D8ROdirTCla9EyWyE9pLdV/cdKs3rY+uwpHTHrWSJFWEWIijXGGnrIrXFk7fDDUzz96AwIeNu9\nQ9zwpspjXaPXlOMH2gcNyJZ1/d5gOsqJC3nmix5zRZdMzGZXXwK3Mk2g5AUIISg4PtmSx4WsFnPt\njGmrzQRR29RRNsNoSZOKyvMUirWQTum0G/QbQoh96DFTAMeUUqt+tyulxoHxyu85IcTLwFal1LeA\nDzfvL4R4BzqCdy1QEkI8pFSnn8QhIVc2+SfGmH9QW1wk3z5CaV9A10V8tge+x9/8x3/DqWeeIpbO\n8Ilf+136d+xa28XWU5rT9UORy5DyBN1E4BV1dGk1KLX+dWq5CZh6BQwDhm+EZL8eAZWf1FHAlSYr\neEVtahvNQP++xe3RlI6oFWd0DVthSg9lN1eaWCEWfczWgub1X6Kg+vF3Z3j60RkMA97zqa3suylT\nf/CLOqZSSo998iROEDRku7Ml3e2ZidlELYOZgoNtGhzcom04opb2O1MotnTFGZ0rcmIyj20abO9t\nH8G0K5G1aoTNMkWrWKv8aS9j8hwSUs9q3rW3ALsqt7lJCIFS6s8u9o6FELuAm4HDS+2jlPrVyr5/\nF5huJ9SEEP8A+AcAO3ZcXKQgJGSzkX3sHNlvnAYg8Z4RvvrN/8jUZ19jcNde7vrET7L3lts7GscU\n+D5/8x//Ha/+6DCxZIpP/MvfYWDncjVNl0jg6wiX7+j02FJ1RJeKUjoi5pVWTnluBDLQdWW5cT0U\nffC6RZ+z1BBkx6A4rX9fivwFnepEwNB1rTYd8V4oTOvCeTOio3YrIYy1FWstg+FXL6gCKSmVAs6+\nVOCHX5sE4F2fHGkSaqs/diAVRdfX0weWKEfMlT3SMRvLNIjZJgXX5+BwulZjJgRs64kTsQwipsHo\nnB70vn8o3bberFqvBosRNss0Wuw3hND2He0aCEJC2tHpIPc/B/YCzwJVEyKFrj9bNUKIFPAF4J8q\npbIr7a+U+uwy1/0x8McAt9566xXsZBkSUplK8PAZco+dAwHpe3bx9Yf/iKkzunh88vSrPPjvf1uL\ntvs/xd5b71hStAW+z9f+73/HyaeeIJpMcv+//B0Gd+1Z3wfg1kWqyvMgetbWjNV3dLTJdzavca2T\nhwsv6nX27NIF//X/o1i3fk7yk+3FmpOHmeM6pRtJwdDB9nVoiV4tBsvz0L9/5SgdVGq21lGsVe+j\ng//N1FiZV360wCs/XqBcWPS2e+u9Qxx4Y5uh86sQa0XX112ey+BLScEJ2N4bwRCwszdBfzpCd2Ix\nOhk1TXb0JlBQmQ0K6ZjNYLr9azpS16UZtQwEEDFbOz4NIbDDFGjIKuj0XXsrcK1Sl/7pKISw0ULt\nfyqlvnipxwsJuVpQUjH/1VcpPDEOBnTfv49vP/JfOX/sJVI9vXzi1z/D6eee4ciDD2jR9nu/s6Ro\nk0HAQ3/0+5w4/EOiiST3/+rvMLTnmvV9AIHf6FOmlE6JJvqaxgatEhlo4eOVNr9hbfa8biQwLN21\n2W5AuhCQHNT7Bl6d274Ls69BbkzffuAApEeWFinVY9sJyHQ6vULolGyHgmpF2grERXf+dpQLPt/8\nyzHOHV9MW5sVa4vb3tvPjW9uU8u3xkIN0LYaKLriNkII+tJRkl7jKdEyBW4gUEp3dO7pT9GbjCz5\nBane/DZSi7C1PkeGEDULkJCQTuhUrL2I9lkbv5Q7E/oV/ifAy0qpP7iUY4WEXE2oQDH3heN6fJQp\n6P3Jg3zve39RS1/e96u/Te/INnpHtnHDu9/PC498kyMPfr4m2gZ27eGu+z/FNbfeiVKSr/+nP+D4\nE98nEk9w36/8FsN79628iEvFbVP/pZS2mEj0ra6Tb7OnOZuRAUy9rKNl8V496slapn4sPaw90QpT\nld/Pw9xpbamR2aYjcisJXDOiI2rRdPsIVzuqqbu1MsddMrLWfveZ8TIP/Y9RsrMe0bjB/pu72Hp9\nkq7hCH2JyDLNM52JtZIbdCTUALKV/bridm3ZzdimgSECqhOntvYs02lLY2TNMAT7h9KYbR5Tsxlu\nSMhKdPrp2Q8cFUIcoa6N6CImGLwZ+DvAC0KI6oTmX1FKPbTK44SEXDUoXzL7V8covTiDsA36fvpa\njjz1IC899m2sSJSP/V//iv7ti11+diTKG+++hxvf/X6ef+Rhjjz4eaZOn+Irv/e7DOzaQ7qvn1NP\nH8GOxbnvV36TLfsOrP+DaI6qNTxAWTFw7Vs5Vec7WqCttXHrejN/Rgu13r3QvWPlSFA0rSNiC+f0\nj1vQIq//mtUNXO9a3oy4gfo1GeYaibWlImutnHoxy7f+agzfVQxui3H3T28j1W0zXXBQCqTQtgAI\nQ9uT1Dd/dBBZK7lBrbuzE7Ilj0TEap0uUPco7FpzwMqvRSFoiZbtGUiRd1rFY31tW0hIJ3Qq1n5j\nLe5MKfU4a+maGBJyhSPdQM/5PD6HiJn0/8z1vPD8t3nqwQcwTJOP/PNfZmT/oba3tSKRmmh74dGH\nOfJlLdqmTp/Cjsa475d/c8nbrjlufvnrZaAjbFVzUlRFjFUuVXBlpDnb4ZW1tUZqaGXrjHrSQzrt\naSdg+AY9ZmmdCJTCrBfKa9Vk0E58NwkrJRVPPTLNU9/SFrH7b87wzvu3YNkGvpQ1Te4FEtMyIZbR\n3cRuvk6wL3/aKHurE2pK6ckFfalIrci/+R4s06gMUu/smJElxFesjSeiEIKwZC1kNXQ8yF0IMQTc\nVtl0RCk1uX7LCgm5+pFln+nPvoR7OouRtOn/e9dz4sRhvvsX/x2AD/zCP2X3zbeucBQt2m7+wD3c\n8C4t2l59+gh33vcTbD147Xo/BI0MdCRsxf18bTVxtTFb6dhcah7nUnTtADup7Tw6TWNeBAqF60vi\n9eqgSaxVy5E76TBuoK3oWzyG60ge+esxTr2YQwi464ODvOFtvbX78YLFiJUfSIgnF5sprNiiB94S\n6/IDScFd9E3rlJIX4EtJJmbXOjWbH3u1AaDT56R5WHuVsDYtZC3otBv0k8C/Bx5DvxP/HyHELyql\nHljHtYWEXLUEBY/p//4i3vk8ZiZC/8/dwNlzL/Lw/6sHerzz03+fQ29956qOWRVtN3/gnvVY8tI0\nRECuIkpz2jpj6Dod/Wq7z7xOf/bsWr1NiWFCavCSl7kSbiCRzUbFFZElA8Wxpxf40SPTRGIGH/z0\nNjK9K3m1VRBi2cjaxJkS33lgnNkLDpGYwfv+9lZ2HmhM8XrBohtTOYBkNLMo9exEnWFxo2DyA93J\nWfYvLhJbrWtLx6xaTVmzJKumKTstLVsqshYSshZ0Ggv/VeC2ajRNCDEAfBsIxVpIyCoJsi5Tf/IC\n/oUiZm+MgZ+7gYnJV/mb//BvUFJyx8c+yRs/eO9GL7MzZLD+EwA2Aq+s7TcCD+bP6c7MZpSCmRPa\nhqN7FenPy4wfKB05q4veKWVw8tksR745xfz0YgPHF/7TaT78szsY2NqB8Gxbr6a7PZ/46jhHj8wD\n0DUQ4UOf3kbPYKvdhS8XRX5gp3ACiFWXaUW0qJR+TQB6gaTg+Dj+pXmj58raDDcRMWuGtc0BtEWx\ntrJaa1evFhKylnQq1oymtOcMEL4yQ0JWiT9bZupPXiCYKWMNJhj4ueuZnR/ny//ut/A9lxve9T7e\n/Lf+zkYvs3OuxqiaDODCC/pxxXv0FILePa3dmfkJXQQ/eF1nHmcbhBsojMr/SCnFmRdnOPyVU0yf\n03WGmT6b297dz7GnFzj/apEv/ZczfODvbGXHgRUaHZoec3amxNHHx3jpe6OUCwGGCde+qYcDb+ki\nlmo91SgUQUWsKcMEO0HRDYjZdce147VGA9eXzBXXpjM4V/ZIR7VlR02s1cXWDCFqEbdOxFoYVQtZ\nbzoVa98QQjwM/GXl778FfH19lhQScnXiTRaZ/m8vEGRd7K0p+n/2evKFGb7wmV/HKRS45ra7eM/P\n/ePV1w1tFPIyzNXcCKZf0QJh+EZtj3H+R3qaQH3npfRh5lXdMJFeZgrBBqNQvPT4LM8/MkuqO4Id\ns5kd0/5myS6b297dx8HbujFNwb43ZHjkc+OceDbL1/70HO+4fwuHbu1e+uB19Wonn57k2396lKAS\n8dp6TYK33juESgoUkHd8vECSjlk1UeTWpUBVJA3oyJnry8X6Lzuh/xdCNKRMO378lUaCsh8wkIoi\nhCCQioITsK1Hp3tradC6t129+Ork7bhUvVpIyFrRaYPBLwohPg68pbLpj5VSX1q/ZYWEXF245/NM\n//cXkQWPyK4M/X/3OspOngd+99cozM2y/dob+NA/+UUMcxNFaKRc9OVqx9UYVVsYrUTSduvCf9CC\nbGFUD1Kvnrnnzmj/t+Eb13U5ThAgEBcduSl7ASeOZFEScrMu4BJL2txy906uvy2FJRZHPJuWwXt/\nYoR0t80zj83w6OfGKSz43PKuvvZfICqRteceOcfjD5wABXveMMCNb+lhZLtB0Qsouos1ZY4v8Yse\nXXEbUwj8SnOBMqO6maBCyQ0WxY9hVCZgLO7fTK7s4QWK3qQWX0opJnMO03mHhZJXi97lunz2Dmor\nDYUiHdOnv3Y1aba1uLH60FNRq60NB4SRtZD1p9MGg93AQ9WJA0KIuBBil1Lq9HouLiTkasA5k2X6\nT19ElQOi+3vo+6lDeL7DF/71v2J+YpzBXXu59xd/DSvSYWH35aC8AG5Rn5ANa/HHtPWlUnqqwNVE\naU7XoCUHoHvX4vbMNph8qTKNoVdHExfOaTPbWGbJw63JklwdTYrEL04MXDhXorjgE0+bfPQfH6RQ\ntBnanSESt/RYK8dp2F8Ygrs+OEiq2+J7D17g8MNT5OY83v6xYYwmrwmFyQ8+f4LnHjkHwJ0f3cMb\n378T4eRQbp6y1xoJC6RiruiSjllafAkDFWscLeX4AVJai3Mz7QQEDm5dnZpSium8y/n5ErmKZceN\n27pRSnFqqkDB9YlZJgPpKN3xCNmSx9hCiXjE1M0W6LFRQrTv9qz3QDOEIGoZJKMWBcdvcVxLRa2w\nXi1k3ek0Dfp54E11fweVbbe13z0kJASgfHKOmT87inIl8ev76P2JgwTS58Hf+x0mX3uV7qEtfPyX\nf4NoYoluw43ALWihBrp+SwbUeWFrhHF1RdWqDQVWHAYONua+UgMwE9HRtUTv4nD11Vp1rBI3kLXU\nnxMERCtR17HXilw4W+LGN/dgrpB+O/WirkvbdjBJ75YkvdG6OrRlvNZueFMvyYzFN///MY4emaeQ\n9Xn/T23Fjize3xNfOctzj4ximIJ3/fQhDtwxrK8QAseXNVHUjFKQLfkIQMZ7W2xLFJCtDFg3DQFW\nFBl4SKXwA8lEtszYfBnHD4jbegTU+fkSL55fQFbGQh0YTjOYXozW9aciOL7k1FSBmG0QtUwiltFQ\nj1b9tXm6gCkE6ZiuVzQMUYvUgRZqyegazloNCVmCTl9lllKqVtmplHKFEJsoDBASsvkoHZ1h5n++\nDIEi8cZBeu7bjxKSh/7w9zj30vMku3u471d/m2R3m/mRG4VXhnJ25f3UpXXjbSqU1EJNKW1O29xI\nIAw9e3PuNGTH9Iio3j1rO6C+DaW6FGLBCbBjBj/69jRPPTINCtxywB3vH0QqRaB0sX7tR4EfBJw7\nquvTth1KtRZfrWCMu+f6DPf+A4uvfXaUM8fyfO4PX+OuuwfZfV2K2UmXZx89jxDw4f+9P5KjAAAg\nAElEQVTtJrYfqpvnKQxKbaJqzchIWtcEVpjJO/QkIxgVsefmHeIRk2TEwjNjjM7lODtbJJB6nufe\ngWRtTmciYnJyMs9wV4ytPfGWpgAhBAeG0zw/Ok/e8elP6f+dWS/WKrV0VTPc2tNUJ9ysOrEWCrWQ\ny0mnr7QpIcRHlFJfARBC3AtMr9+yQkKubIrPTjL7uVdAQvKuLXTfsxcEPPJf/wsnjujh6vf9ym/R\nPTS80UtdJPCgPL/Rq7j8TL0CTlYLtUiy/T6ZrXqk1NQxXV/VtX1dl+RJ2VCAX8h6fPfPxxl7tVgz\nBHvmsRm2X5/C7mpf5zh/wSM/6xFNGPTv0HVfDXTQwbplV4L7/tFOHvrsKPNTLl//s1GGd8aRUk8m\nuP7tWxuFGuAJWxvcLoMyTFTdc71Q9Dg6nmVXX5LtvTrKrICiG1DydN3e6ekimbjFnv4UqVjjqasn\nGeG23W0GwNdhGoJrRzIcHcsykNZirV1kzV5mtEC1GSEUaiGXm05fbf8Q+J9CiP+Efg+NAj+9bqsK\nCbmCyR8eZ/7LJ0FB+h3bybx/J0IIfvDXf87zj3wDy47w0X/xawzs3L3RS11EBrom62pKbXbCwijk\nxrWp7XLjnqwoJAcoT08R9O5GZiVKBjXRIqWuoxJCYBhgmHpMkWEIhFnZZuhtlm201H81U3IWo2qT\np0s8+cVJyvmAeMrkvZ/aysnnshw9Ms/jX7rAOz69pW3d1fljOqo2ciCpB6Q3T0momtquMOKrZzDK\nT/zzPbx0eI4ffXuaiTO6AziWtLnjI3ta9nekUUmTLy3YlN1oCzJf0ombsYVSS2RMKVgouSgUI93x\nFqG2GqKWyc07FiPZ9f0z1XtcbmanZRikoiIUaiGXnU67QV8F7hRCpCp/rzAIMCTk9Unue6MsPPQa\nAJkP7CLzDh2BeebrX+HJL/41wjD48D/7JbYdun4jl9mIUlqoXYlzOS+F/AXdUJDog56VhfMTT/Xy\nzPdMYL7yc3GYluDAG7u46a299A4tplKDQFHM+izMu0xNlylmA3LTLqeeyaEUDOyM8e6f2EJfX4yB\nrTFeO5pj6myZJx6YxLQFXlnilSWuoy/Led25uO2QjmBJ1cYc07A6+r+bluDGN/dy8JYunv3+LCee\nzXHnx/YRS9ot+0qlUGYEscQIMu2pFm/YtlDyMITA9SVTOYehTKMpb7ULM7XGIsk06iNr+vflOjtj\ntnHlWOuEXFV02g06BHwGGFFK3S2EuBa4Syn1J+u6upCQKwSlFNlvnyX3yFkAuu/dS+quEQBefvwx\nvvPZPwbgfT//T9h7yx0bts62lOZ0CvT1gu/gjx/nR4+XmZgc4J2f2kPXCidgJRUvP6O/o8ZTJoYp\ndKTM0Kk0YeqTvVIKFYCUCikVSumRTkrqbUqC50qOHpnn6JF5hnbECXxJIetTKgS0tBpWOPSWbq57\nRw+YBgpFLGFyywf6efyBC4y+XFhy3V2DNoO7tTBSy9hvdEokZnL7ewe4/SP7WgRXFSlXEGtNUTWp\nFNmyz0hXjLmix/m5UluxZptGo2HuGtBc22YI0VCj1kwo1EI2ik6/pnwW+FP02CmA48BfA6FYC3ld\noQKFcnxkyUeWA2TZR5V9ysfnKByeAAE99+8neYs2Sn3t2af5xn/+DwC87ad+luvf8Z6NXH4r5Sz4\nzsr7XS1kxzj33Fke+26SbFaLhke+MMnHfn6nThUuwfS4QykfkOqy+OlfueaSTtpzMwHPf2+SYz9a\n4MLZRVNhISCesYimTOJpk3jaIp42GdwVp3+7Fi9SKUpuQNQ2GTmU4M6PD1IuBERiBnbMwI7qy/q/\nq2uVCFqkTqXJQKGFZSdu/fp2rRG1KoFUtcaBiZyLVDCYsrEMgTKsFpGXK/sopZsGklGL4xdyzBVc\nepKLzQf5sr8uqceGmjVCv7SQzUunr/5+pdTnhBC/DKCU8oUQr7OcScjViix6OGdzeBMFZEmLL1kO\nGn+viDLlLlM4bQr6PnWQ+PXaTHXs+DG+8gefQQYBt97zcW675+OX6RF1iFvQP68HlKR8+iV+8KjL\nsVe0r1fvcJRS3mf8tRIvPDHHjW9eukD97Cs6qrbjQOrSoiuGSc9Imrd/zOSO9w1w4VyZWNIkmbFI\npCwKvt/Wn6yeohcQVAaz77h+hZFQdSjVLrKmTwFuIMmXA7riFtZyRsigVaW59KlDKn1cT8KJaQel\n4LVZh6G0zfDAAM0mNbMFXa+WiWurjtemC4zOlUhE9dxOgW402JZcewOCen0uRKMZbkjIZqJTsVYQ\nQvRRCdILIe4EFtZtVSEh64SSCn+qiHsmh3Mmi3s2iz+1ipFJAkTUwoiZGDELETMx4hZG3CJ52zDR\n3VoIzIye5Uv/9jfxHYfr3v4e3va3f2adHtFF4judWXRcDShJ4eQLPPCXJvl8AtMS3Prufm5+ex8v\nPz/Pd/9qgicemmTnwRRdfe0FwdlXtKjdcWCJbtFOsaI1gRRLWuw8uCi2AqVwOrC8UIoVBV07ZHM3\nKNSGsXsVX7T5kkc6ZtU83dqyTFQNqPmrTZUNlIL9AzEWSj7jecl5t0h3Qqc8TUNwZqZItuzRHY/U\nCvtHuuOcmSlw5LXZhuNeSmPBUtMHmmvWlmsuCAnZSDp99f9z4CvAXiHED4AB4P51W1VIyBohyz7u\nuRzumSzO2Rzu2Syq3BQUtgwi21JEtqUxUnadELNafhcRc9l0GUB2epIHPvPrlPM59txyO+/7+f99\nc9W6BL6uU3s9oCT+6It8/UHI500GtsZ476dG6BmMUvYDhvYn2HVDitMv5PnOA+Pc+/d3tPx/nVLA\n+JkiwoBt11yqWIvVBFIzRbfVHX9NafcaNC0QArc6+klBruQjoxBfqj7M1E7+ji9rzv5V6g1jp4qK\nuC0YTtsMp212WhkmijC+UOLouP6iELEM9g6kGO5arFHb1hMnZhsElS5bqRRCUBsn1e5h2YbRYHXS\nsFxDd2/6UlH2Ft/7gtYatFCshWxWOhVre4G7ge3AfcAdq7htSMhlQSmFP1PGrUTM3DNZvAvFlqJt\nsytCZGeGyI4M0Z0Z7C1JxBoNYi5mF3jgd3+d/Mw0Ww9ey4f/6S9tvnmfpdlNZdHx3OOzPPOdaW54\nUy9veFsvlr1GJ0wlURMv8d2HPS5MJkh1W3z4720nkdIfXdUo1k3v72PiVInzrxZ56fA819/VaFI8\nerKAkrBld5xo/BL+l0LoWi4946jhfyA7jKpdwp0vOVFAYjSIrOrg9UBKUtHWKFreFxSkjlJJpRrE\nWvU+XF+y4MKOSreoMm0isQQ7YlqMzRZc/EAxkI42RLdA15HVTx9YibhtYi0j1qqiMx21cPyg9rRH\n17hZISRkPelUcP2aUurzQoge4J3A7wH/BS3aQkI2BKUU3vk85ZPzNYEmC02pDlNgj6SI7kjXBJrV\nvT7O8265xJf+zW8wNzZK/45dfPRf/Dp2ZH1d7lfFJrToKOZ9nvzGJL6rOPzwFC8/Nc+b7xli97WX\nWBumJFx4iecPFzh2vAvLFnzw04tCLVCqdnKPJkxuvruPJx6Y5Idfm2THwRSZnkWRspgCXUxZSqXw\npSKQsnKpzVSTkWU+UqtCDXR0TS2+Vi9HVG0pfe6q9uK45Emk9EjHrZq7f8nzKRiCaqdCIPUIqOps\nzKrom847KGHQn9Gv//oOUEOI2gSBS0UAiYjVLsFbo9pBahiCdNQmW9Y2IenQKy3kCqLTV2v10/1D\nwH9VSn1NCPE767SmkJBlkWWf4rNTFA6P4403FsgbKbsWMYvsTBPZmkJchm/Qge/xld//DBOvniAz\nMMR9v/JbxJKdF39fFsrzELgr73cZ+fFjM/iuYmhHDM9VzE44fP1/jLJ9f5K33DPU4EPWMRWhNnp8\ngR880QfAuz6xhYGti9Ga+nQYwPZrU5w7VGD05QKPPTDOPT+3vWbFcfZ4pblgf5KFkocvVdsolcJg\n2SSpVRctMkyoi05dTA3aalBi6cjaUmINwAkkQcmnK2bpJgRHQrLxtFH2JamKWKvex3TeIW6bJGMR\nlPLXbTRX1DJrkTnLEPiy8TFGTKMhchePmJS8gETEXNaiIyRks9GpWDsvhPj/gPcC/1YIEaWNv2JI\nyHqhlMIbzVM4MkHxuclaV6aRsIjf0E90VxeRHWnM3thlrQ+TMmD67BkOf/GvOfP8j0l0dXP/v/xt\nUj3Lj7657JSzeu7nOuOWA3740CTX3JhZsb6rmPN58QldO/e2jw7TvyXGi0/OceSbU5w7XuCv/8Mp\nbnhzL7e9p7/z9GNFqGXHZ/nGI4MoBW98Zx/73tDVsFs7cfTGu/uYPF3i3IkCLx+Z59o7epibdMnP\n+8RTJrE+E2eZMUpBIFGoWhSqhQaxZgHaMqXkBesbVQNALHkfrlz+/eIHkrmipz3kDKul9s3xgppZ\nrVTg+AELJY+dvUmUKUB0ntJcLYno4usiGbVYKDX6BcYjra+b7rgdCrWQK45OxdongQ8Av6eUmhdC\nbAF+cf2WFRKiWSqKFt3TRfL2YeLX9SPWqsapA0r5HOMnjjF+/Bhjx48xfvI4Xll3k0bicT7+y79J\nz/DIZVtPR7jFdbfoUCi8QPHUd6Z56cl5jv84y93/cDvpXrtBupiGTlsZQvDMYzP4nmLXtSkGt2nv\nrRvf3Mu+N2Q4/I0pXjoyz3Pfn+X4jxe46+5BDt7StXxzh1IweRR3fpqHvj2CU5LsPJjkjvc3jpEq\n+0HbKFMsZXHzB/o5/KVJfvC1SXYcSNUsO7buS+AEy0sqBfhSYbdboxlpnG1U529W8i5DWloYbac/\nBVIRYK74zbv2fLXpBPXrUqGBVMzkdfS2Px0By2zf2LAGREyjoSEgZpsoBdmyFmxCQLRNLWoo1EKu\nRDodN1UEvlj39zgwvl6LCnl9U42i5Q+PU3puCuUtRtEStwyRvH0Ye6DZrWkd1iElM6NnGTuhhdnY\n8WPMjY227JcZGGJk/0Fu/fDHGNq9d93XtSp8Rw8pX2MUuubLDxRuoAgCiedJXj6sxzB5juT7nxvn\nXT+zFbPeuyqAsu9CWdWiare/t1FMxZMW77hvC9fd0c33v3KB8dMlHv38OC8+Ocdb7x1meEcb53yl\nYPIlVG6SR3+wjZmpgO6BCO/91NaWk/NyKccd1yc591KCseNFvvOFcWRl1/7d7d36m/EDid3Op8xq\n6mSsiLWSG1ymXg+BahNbc325ZHdqO9QS/mqOr8WalIqpnEMyYpFYrn5vDaiPqlWJR0ykUuQdn5ht\nbq4u7JCQSyCssAzZNOgo2iSFwxMbEkUrF/JMnHiF88eP6ejZiVdwS8WGfSw7wtDea9iy7yAj+w8y\nsv8Qye6eJY64wQQ+lObXpfOz6AYU3caI0JkX8jhFSddQBN+RzI27PPftGd74gf6G/ZSCH39nhsBX\n7Lw2Sf/W9vVMA9vifOwXdnLi2Sw//Nokk+fKfOGPTrPvlgy3vq+feMpCKYX0XcTsCaziFM8d38Wr\nr3hEYgYf/PS2lvRpoBTeMqlMIQS3fKifqbOjtcYCBAzt6UyseYEi3s6GzGpKBZp2bf/1QhkmCAsR\nOCAMZJu7cn1ZGTklWHLWVT2GjetLjo5nuWYwVUt/lr2AZNSi5Plkyx47+y7R4mQFTEMQtdqLzGTU\nQiq15qOpQkI2klCshWwoGxVFU1IyOzZai5iNnzjGzOjZlv3S/QOMVITZlv0HGdy1B9Na3hR0o/ED\niSWoWHSsT+F6s8hQSnHiSe2TffBN3aR7LR790zFOHskyuDNeGyYOUMz6vPp0DoADb+1mrugRtQxd\nE4VesqQyEFxB774Y7/tH23j5+/Mcf3KeE09nee2FHNe9JcWBA/NEShOgAk7O7OKp7+kU2FvuHyLe\naxEohVkXXSm5rcaozcTTFje/v48jD04B0LslSjTR2Ym/ucAd0GLIbHrNCAGGiWQdZ7JacZRRFWu6\nWaIZJ9CCWxkmQq783GDYTC+UyZU9JhbKXDOom2h0R6xipjKNYClPtLVi2a5bIB3b3O/RkJDVEoq1\nkA3hckfRnGKR8ZOv6FqzE1qcOYXGOi7Tshjcc40WZwcOMbLvIKnevjVbw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wUAACAASURB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\nYgxrRERERCn2/wERObuKOdhqUAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = plot_all(d[(d.prime > 100) & (d.prime < 2**20) & (d.degree < 2**10)])" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python2", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.14" } }, "nbformat": 4, "nbformat_minor": 1 }