{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Metoda hlavních komponent - principal component analysis (PCA)\n", "-------------------------\n", "Základní otázky otázka potřebnosti dalšího parametru - jaký nejmenší počet proměnných vysvětluje dostatečně data?\n", "\n", "Matice $A$ popisuje transformaci (rotaci/inverzi) měřených veličin\n", "$$Y=A X$$\n", "\n", "- hledáme takovou kombinaci $a_1 X$, kdy $V(a_1 X)$ bude největší za vhodné normalizační podmínky $a_1^T a_1=1$ → _první hlavní komponenta_\n", "- pak hledáme takovou kombinaci $a_2 X$ , kdy $V(a_2 X)$ bude největší za podmínky $a_2^T a_2=1$ a $Cov(a_1 X, a_2 X)=0$ → _druhá hlavní komponenta_\n", "- pokračujeme dále vždy ve zbývajícím prostoru kolmém na předchozí komponenty\n", "\n", "Proměnné $X$ (jednotlivé vektory) mají kovarianční matici $\\Sigma$\n", "\n", "Praktické řešení: najdeme vlastní čísla $\\lambda_i$ a vlastní vektory $\\pi_i$ kovar. matice, předpokládáme, že budou ortogonální (autom. splněno, pokud jsou vlastní čísla různá).\n", "\n", "Matice $W$ vlastních vektorů matice $X^T X$ a sdružená matice $V$ vlastních vektorů matice $X X^T$\n", "(ident. v případě čtvercové matice X) jsou transformačními maticemi **singulární dekompozice** matice X ve tvaru $X=W L V$, kde L je matice pouze s diagonálními nezápornými elementy.\n", "\n", "Stopa kovar. matice je při transformaci zachována - součet variancí je součtem vlastních čísel. Vlastní vektory obvykle uspořádáme podle velikosti vlast. čísel.\n", "\n", "#### Reference:\n", "[Francis] Paul J. Francis, Beverley J. Wills + [code ref.](http://www.mso.anu.edu.au/~pfrancis/pca_public.f)\n", "\n", "![2variables](http://is.muni.cz/el/1431/podzim2018/FX003/um/prezen/images/pca_2var.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Příklad\n", "---------------------\n", "\n", "kombinujeme 5 funkcí: konstanta, lineární, sinusoida, gaussovka" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "from matplotlib import pyplot as pl\n", "import numpy as np\n", "x=np.r_[0:8:100j]\n", "fun=[np.ones_like(x),0.5*x]#0.05*x**2]\n", "fun.append(0.3*np.sin(x*2.))\n", "fun.append(np.exp(-(x-5)**2/2.))\n", "fun.append(np.exp(-(x-2)**2))\n", "nmeas=20\n", "[pl.plot(x,f) for f in fun]\n", "allpars=np.array([np.random.normal(a,0.4*abs(a),size=nmeas) for a in [3,-1,1.5,2,3.1]]) #sada ruznych koefientu jednotlivych komponent" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "testfunc=allpars.T.dot(fun)\n", "for i in range(len(testfunc)):\n", " testfunc[i]+=np.random.normal(0,0.3,size=len(x))\n", "pl.plot(x,testfunc[3])\n", "pl.plot(x,testfunc[1])" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([278.38631903, 107.52010322, 5.40402942, 4.68954832])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ncomp=4\n", "renfunc4=testfunc[:ncomp]-testfunc[:ncomp].mean(1)[:,np.newaxis]\n", "renfunc4/=np.sqrt(((renfunc4**2).sum(1)/(len(x)-1))[:,np.newaxis])\n", "cormat4=renfunc4.dot(renfunc4.T)\n", "eig4,vecs4=np.linalg.eig(cormat4)\n", "eig4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Transformujeme standardizované proměnné $z$ pomocí matice $y=V z$\n", "\n", "Nové proměnné jsou ortogonální, korelační matice $D=V^T\\ R\\ V$, kde $R=z^T\\ z$ je kovarianční (korelační) matice standardizovaných prom. \n", "\n", "Chceme maximalizovat diagonální elementy, za normalizační podmínky $v^T v=1$, pomocí Lagrangeova multiplikátoru řešíme\n", "\n", "$$\\partial (V^T\\ R\\ V -\\lambda(v^T v-1)) /\\partial v=0$$ odkud vyjde rovnice pro vlast. čísla\n", "\n", "$(R - \\lambda\\ \\mathbb{I}) v = 0$ " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### cela matice" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([1.62786451e+01, 2.32090173e+00, 6.29519299e-01, 1.50119041e-01,\n", " 1.03263348e-01, 9.57252513e-02, 6.62150369e-02, 5.10838522e-02,\n", " 4.67303490e-02, 9.54218490e-03, 1.23222916e-02, 1.47232863e-02,\n", " 1.64858358e-02, 1.77981932e-02, 2.04542722e-02, 4.16255903e-02,\n", " 2.68658635e-02, 2.99922881e-02, 3.35723504e-02, 3.44148285e-02])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "renfunc=testfunc-testfunc.mean(1)[:,np.newaxis]\n", "renfunc/=np.sqrt((renfunc**2).sum(1))[:,np.newaxis]\n", "#renfunc*=(len(x)-1)\n", "cormat=renfunc.dot(renfunc.T)\n", "eig,vecs=np.linalg.eig(cormat)\n", "eig" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1.0, 2.498001805406602e-16)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a=renfunc[0]\n", "(a**2).sum(),a.sum()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "14" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "varlist=[v.dot(renfunc).std() for v in vecs.T]\n", "cumlist=np.cumsum(varlist)\n", "np.where(1-cumlist/cumlist[-1]<.10)[0][0] #kolik potrebujeme funkci k vysvetleni 90% variability" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# ortonormalni vlastni vektory\n", "np.all(np.isclose(vecs.T@vecs,np.eye(len(eig))))" ] }, { "cell_type": "code", "execution_count": 167, "metadata": {}, "outputs": [], "source": [ "qlim=9\n", "recon=vecs.T[:,:qlim].dot(compon[:qlim])\n", "#comnorm" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "36.46679194885487" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "compon=vecs.dot(renfunc)\n", "comnorm=np.sqrt((compon**2).sum(1))\n", "#compon/=comnorm[:,np.newaxis]\n", "compon[0].dot(renfunc[0])" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.plot(renfunc[0],renfunc[1],'.')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[[],\n", " [],\n", " [],\n", " [],\n", " []]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "[pl.plot(x,v.dot(renfunc)) for v in vecs[:5]]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-0.06402871-0.00415379j, -0.22471942+0.00487112j,\n", " 0.08358843-0.00154518j, 0.03901550+0.00481319j,\n", " 0.02791199-0.00195391j])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eig2,vecs2=np.linalg.eig(renfunc.T.dot(renfunc))\n", "vecs2[:5].dot(renfunc[3])" ] }, { "cell_type": "code", "execution_count": 92, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [ { "data": { "text/plain": [ "array([0.81492937, 0.06170513, 0.0320817 , 0.03041386])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# funkce z knihovny pro Machine learning\n", "from sklearn.decomposition import PCA\n", "zca=PCA(4)\n", "op1=zca.fit(renfunc[:10])\n", "zca.explained_variance_ratio_" ] }, { "cell_type": "code", "execution_count": 195, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[array([ 0.03652131, 0.22300082, -0.45227578, 0.07291475]),\n", " array([ 0.05730909, -0.03768623, -0.38829991, -0.11200899]),\n", " array([ 0.47405738, 0.04763066, -0.29688383, -0.07454835])]" ] }, "execution_count": 195, "metadata": {}, "output_type": "execute_result" } ], "source": [ "[zca.components_.dot(r) for r in renfunc[:3]]" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([8.4569873 , 1.21942116, 0.08641346, 0.06694519, 0.05466067,\n", " 0.03905417, 0.0124432 , 0.01729072, 0.02478818, 0.02199595])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cormat10=renfunc[:10].dot(renfunc[:10].T)\n", "eig10,vecs10=np.linalg.eig(cormat10)\n", "eig10" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[[],\n", " [],\n", " [],\n", " []]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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NBUVq7mYrMVLIOTilNY4W0mPw80IURTr+cBZHc0O2jW9e0ea8PJxfDKfm6UT576P+f0NRHmwdpksKZ2IP9YZBwO9gaA7jz4DCRFcv4TpsHwHFShi6Gap0ePa+JV4JBEG4Lopi48fVe+ZoH1EU1cAU4BgQAuwURfG2IAhfCoLQ9361RYAp8LsgCP6CIBx41n4fhZ5cQFmsxcJIn6r2pvT0cmTzmKaS8D9nBEGgf31nrkSnkyTF/euI94XTX+tcMQ3eKp82DUxh1H4Yvk23XuDySijMgEE/PxB+0E0Mv3sKLFzg10Hgt6F8+pf4z/DMI//nxb8d+UtUHLHp+bRbdIbZPWoysd1/e4ezx6LMhtVtABEmnNdF7jwBAQlZWBjp42Zj8vjKoIvwUWaD7SNWoCtzdPMEESdgnM+DVcUS/1le2MhfQuJP3GxMaORmxfZrcWj+63v9KrMhJbTsY6IIh6brJnEH/fyQ8OcVqZm1K4DLkaU3cM9VFvPGuqvM2BXw5HaY2j9a+EHnDhr8M8gN4Nb2J29X4j+PJP4S5cqYVu7EpBdwIji5ok0pf4oL4eJPsLEXfOcBK5tDeuRD1dIvbdZF3HT45KG4/gKVmnc2+rLDL565ewNL/Uju8I0nt0iNb0wGyTmPCft8GgwtoEYPCNotbRspUYIk/hLlSvc6jrhaG7H23MOi+Mpz6is48Zlu1N/obUCE2IulqgSEhGJ4fCZXtLUZGNCUrw4F4xOWgrJYQ6FKw9hNfvjFZjC0sQtRafkcvKULjCvWaNlwIRpPWxNEEY4ElnPKbO9hUJAGkT6PryvxWiCJv0S5oieX8W5rT27EZeEXk1HR5pQfRXlwc4tuAdWkC9BrMRhZQfzVUtWiLu3GRCgi0Hsuenr6/HolljEbfak37zjdfjzHleh0Fg+tz4KB3tR0NGPpqXA0WpEjgXdJylbyae9a1HQ0K//9Eqp21tkbsOPJ6mvU5du/xEuHJP4S5c6Qxi5YGuuz5lxUSZlao0VZrKlAq56RW9t0sfXNJupeCwK4NoP4ayVV1BotBgmXyJZbM25QL3ZObMGtz7vyyztNGdmsMramCpYMrU//Bs7IZAJTO1cjKi2fA7cSWXsuiqr2prSvbk9vbyf8YjPLN2pKTwF1BkDoYSh6xC5sycFw7nvY0B2+todr68qvf4mXjtd7WyqJ54KxQo9Rzd1Y5hNBUGI216IzWHsuCmOFnGPT2qIvf8XGHKKIeHUtGRZ1mXUKEPzQkwkMUXrQKe0oFGSAsTUXI9JopA2iwKU1FvcXExrqy2lb3Y62ZSQH7FrbkZqOZny+/zY5SjULBnohkwn08q7E98fvcCTwLu+28Sy/6/Aepgv5DD0M9YY/KC9W6tYiXFmpe+1UD8yd4fomaDqu/PqXeKl4xb6FEq8Kb7Vw16V9WH6BLw8FY2msT1RaPntvJla0aU+FRity4fjvCOl3+Cq1LeGpeSRlFRKVlseaqPupE+6P/q/4XsFeyMLWq9MTtf3n6D9HqcbWVEH/Bs6ALllenUrmHC5vv79rM7CsXNr1kxysWwl8ZSU0GQcf3YEJ56DVB5AcBMm3H92exCuNJP4SzwU7MwOmdq5G51oO7JzQgj8+bEOdSuasOhP5yoSBFmu0vPfbDZQXVpIhWNJnxGTOfNyeIx+24fi0djjWakGxKCcv4gLKYg2q8LMA6FcpM3VVmXSt7UhPL0c+7loDQ315SXkvbyduxmWRkFlQfhckCOA1FKLOwM9d4YeasKoF5KfAyN+h1/cP0k3XGaBLJBews/z6l3ipkMRf4rkxuX1V1o1qTFMPawRB4P2OVYlOyy//Ee1zQKMVmb7zFiHB/nSS+2PVZjydvFxL5Yaa0bsBIbiTfPscZ++k0kAbiNLYCayf3FUjkwmsfKMRw5uWTmTY26sS8ByifhqOAkcvkCugSkfo8ClMugTVu5auZ2KrmyQO3AVaaZ+G/yKS+Eu8MLrWdqSavSkrTkegfYlH/1qtyMxdAVy5FcxO2w0IMj2EJmMfqudqbYzKqQnO+cEsPxFMS3kIiqrtyiWXfmUbY+q5WLD3ZhLlugrfyk3n1hl9CPqvhHYzdAvFysJ7qC4Nddyl8utf4qVBEn+JF4ZMJvBeh6qEJedyIuTlXQS26mwkoTcvcNp8Hg7KKBiyCcwcy6xbp3lXDIViaqb+gTU5yDzalpsdgxu5EHI3h6DEnHJr86mo0UOXXvpJw0MlXikk8Zd4ofT2dsLNxpjlpyPKd0RbjkRfO8Ruw3mYGurBO8egVu9H1jXybAHAJPn9XIUebcrNjr71nTHQk7HDL67c2nwqFCZQqw/c3q+LCJL4TyGJv8QLRU8uY1K7KgQmZnMxIv3xJ7xgou6mMbVgGUpjZ4RxPuDk/c8nmFcCi8p4yu6BpZsumqacsDDSp5eXE/tvJlGoqqA1Et5DoCgb7rzwzfcknjOS+Eu8cAY0dMbezIBVZyNeeN//2xfE8tOP3lIi+eRyXIQ0irvOL73R+j/xZ/6echz1/8nQJq7kFqnLf+L3SfFoD1bucPBDiLvyoFytgqtrIPxkxdgl8cxI4i/xwjHQkzO2tQcXI9IJSMh6Yf3Gpuez5UosK3wiyVGWkeCsMJO6Uevw02uIXb3uT96w6/0tqz2ePMTzSWnmYY27jTE7fOMfX/l5INeDUQfA2BZ+6a/bizjBD9a2gz9mwuFpuiymEq8ckvhLVAgjm1XGzFCP1WdfXAK4bdfiEQQoLNaw53rCQ8cLTn+PiTafkLofPV3DdfpD/TegerdysvQBgiAwrEllrsVkEJWaV+7tPxFWbrq5D7vquk3i13fWJbdr8JZur+DEGxVjl8QzIYm/RIVgZqjPqBZu/BF0j+i0/Ofen0qtZdf1eDrXcqCeqyVbrsSWnnDOisfg+lr2alvRoMlTum9M7XVhk4YW5Wv0fQY1ckYuE1hyMpyzd1IJTsp58XMApnbw9iHd/sDNJsLkK9D1K5Dpw+09L9YWiXJBEn+JCmN0Sw/05bIXkv75ePA90vJUjGxWmbeauxGZms/lqL9MOJ+ah1Yr8pvRm9SpZP7c7Xka7M0M6VHXkYO3knh7wzV6Lj1Ppx/OlG/O/yfB0ByGbIQeC3R/G1lB1U5we++jF4JptVKG0JcUSfwlKgw7MwOGNnZhp18CW6+WDmcMuZvDkhN3uJ2U/cjzi9Qa5uwJIPIJ3CFbr8bhbGlE22p29PZ2wtJYl24ZgDvHIfB31mr7ULeOV6lVvC8LPw1vwLkZHdg1sQWLh9Yjq7CY8b/4VXym1LqDICexdGrrYiWEHIR978EP1WFFE+kH4CVEEn+JZ0Kj1TD22FiW3lj6r86f1b0mrava8sneQD7fH0RekZrvjobSZ9kFfjoVTq+lF3hz/VUuhKc9dK5vSDQzb/Xg2vF/XoQUnZbPpch0RjR1RS4TMNSXM6SRC8dvJ5OSmgqHppJnXpWfVP3oUvsJI3xeMHKZQGUbYxq7WzOwoQs/DqtPQGI2M3YFVOx6iRo9QM/wgetHVQCbesGON3U/ALY1ICMKIk9XnI0vGFEUydi8GXVqakWb8o9I4i/xSAqKC1h6YymxObGPrLMvYh/X7l1jd/huNNqnH4WaGeqzYXQT3m3twebLsTT++gSrzkQyoIEzZ2e0Z1b3mtxJzuXNn69yJar0uoDQgGtYCXnI4i4+onXdF3HL5Vj0ZAJDG7uWlL/RzA21ViRg4wdoc+7yXt47GBgY0czD5pFt5Rw5Qni79mjyKmji9S90rePIjG41OHgrieWnyw6ZVWtfwGjbwAyqdYHg/botIveOh8Tr0H8VzIyEt/aCsQ34/1b6vLwU8NsI6qLnb+MLRhUdQ/L8BWTt3l3Rpvwjkvi/RmQXZbMjdAcZysfvsFVQXMCU01NYF7iOLy59UeboMk+Vx9KbSzHVNyVDmUFgWuBT26SKiyNn5w4+7V2b74fUw9vFkq3vNmPRkHq42ZgwqX0Vzs7ogKmBHntvPEgHLYoiybHBAFgXxJCSW9r/HZCQxef7g2iz0IcNF6PpVtcRe3NDyEmCSB/cs6/ytasfnQuOsNegHxbVWrJoiDcKvUd/JbJ27UadnEz+xSfPdZOcn0x6YTpasfyTo01qV4X+9Sux+OQdbsWXDpk9HXeaFltbcDjqcLn3+xB1BkJeMvw6SDfa7/Yt1B8Jcn3dJjJeQyHsiG7fgz85NA0OTYUN3SAzRlcmijoX3JGZj95w5hVAFa3bxKgo/MWvY3kaJPF/yVGnpxM3bjzxEyaiDA5+praW3VzG11e/pvvu7iz2W0xa4cOuFNAJ/+RTk7mefJ0ubl3wS/bjbMLZh+qtDVhLhjKDJR2WoCfocTr+6R/t7837kntfzKMoIoLBjVzYOaEFLavaUnj7NtEDB6HOzMRIIadLbQeO3r6HSq0T0cjUfMwKdLHvVYRELkY8uJbMfBVDVl9mh188NR3N+HaAF98N8tYJy/ImsKU/bBnAm6mLEa2rMOijlSwd0YDudZ0eaacmO5v8a7q8/XlnH74XZRGSHkLX3V1pv7M9jbY0ovvu7lxPvv7U9+hRCILAl/3rYm9mwJw9gag1D35gfOJ9UGqUzD4/m01Bm57aNRSXE0dB8ROmk67eDfSNIfosNB1PsWtflKGhD47XHwkalW4DeYDYSxB6SJc6Ij0KVrfV7SC2pg1sHQLX1uieJMqRLcFb2BH6YnIUqaKjASgKf/RiwpcBSfxfYpRhYcQMGUrBtWsU+PsTPXAQidM/QpVQekMUrahl8+3NLPJd9MgveXJ+MnvC99C5cmc6Ve7E5uDNdNvVjcknJ7MjdAdR2VH43vNlW+g2xh0fx82Umyxos4Dv2n6Hu7k7i68vLuVGiMuJY0vIFvpV6Udzp+Y0cWyCT1zpzcFjc2IJz3z0F6Dg5k3yL+pcNjnHj3M7/TYfnfkIlUZF5tatKIODUQbqniZ6ezuRXVhcIvI+oSm4C7rkcG6yZC6FJZW0u98/kSK1lj2TWrH+7SaMbOqK6c31sG0YWHvAqP26uPV3jiNMOAsK48e+F3lnzoBajcLDg7xz5xCfIM3xSv+VmOqbMrvpbEbXHY1Ko/rXcyOPwtxQn3l96xB8N4cNF6NLyv1T/GlZqSXd3Lvxw/UfWOi78ImfPnJUOQzYP4CBBwY+2Y+VwgRafQgNRyF2/Iq4ceOJfXs02oL7Px5O3uDgxW3/TazyX4V4/FOK1E4kR9VGHOcDNp5w+isoLoR+K3W7iIU9ezoJTXY2qpgY/GOvsNB3Id/5fse9/HuPrB+eGc6uO7v+sU1VTAzJixahyXk42V5KQQqiKFIUpXsfVNHRiMVlLCZ8SZC2cXxJyfXxIfGjj5GbmOD26xYUbm6kb9hAxuZfUIaE4HnoIIJcTqYykzkX5nAxUSeiDewb0Nmt80Ptbby9EVEU+bjJxzibOjOx3kS2h27nbMJZzl89X6quhYEF37X9ju7uulWu0xpN40OfD9kTvoehNYaSVpjGl1e+RF+mz4cNPwSgQ+UOfHv1W6Kyo/C08ESpVjLhxASUaiXHBh/DQG7wkE1pK1Yit7JC38mJ3OMnWFYtgItJF3mjylBMjp8AoCgyCtO2bWlTzQ5zQz0O3kqiQ017fMJS+FyRijJdHwPzYhIighDFJgiCwE6/BLwrmVHLyUzX0YnP4NJSqNkbBqwBA9Onfz9OnkTPwQGbCeO5O3sOytvBGHnVfWT9oLQgziSc4f0G7/NGrTcAsDSw5Hu/7wlJD6GWTa3H9rkvYh/GesZ0de/6j/W61XGkcy0HlpwIp0ddJ4yNConJiWFAtQGMrjMaOyM7fg35FWtDa8Z5P35bRv8Uf1RaFXnFeYw5OobRdUbzXoP3ynwPS2g/G4D0NWtLRr7ZBw9hNWwoAMX1hzM7aDkxt1bSIfUupnGtyb22BZO27TB95xgk3QSXJiCT6+YMbm3TRQ3pGz7W3rLIPe1D0qxZaHNzMQA2GwicaCiysfpG5jSbU+Y5q2+t5njscVpUaoGzqfNDx4vCw4l95x00qWkUJyTi/OOSksiwW6m3GPXHKMZ7j6fX/esXi4tRxcVhUKXKv7qG54008n8BaFUqck/7PPEoQNRoSJo9B0Xlyrjv+h0jLy/k5ubYT51KpfnfooqOJvfYMYIXxWfvAAAgAElEQVTSghh8cDDX7l7jS4ex9I+z53u/7ynSlJ5ESy1IZdedXfSp0qfkQ+1m7sasprM4POAw+/vvZ17LeazuvJoTg09wftj5EuEH6ODagYb2DVnhv4JFvovosbsHvvd8md5oOnbGdiV1gJLR/y/Bv5CYl0i6Mp1DkYceusbCW7fIv3ABm7HvYN63D0WhoUQEXQAg7sR+tLk6n68qSrcGQKEno3tdR44HJ5OeV8S16HTsk1OJPmpHeqgpVgXRRKTkEZSYTURCOl/u+B9py5bpVqBeWgb134ShW8g+fobcM2ee9K0DQFtYSN75C5h16oRpO12+/rzHtLHSfyUWBhaMrDmypGxAtQEY6RmxNXTrY/s8G3+W/138H19c/uIf3S9FUVHk+fgwr29tZAJ8ui8I/xR/QDcQkAkyZjaZSS/PXiy7uYwLiRce27d/ij9yQc7+fvsZXH0wG29v5MPTH1Ks/efPryohgbRVqzDr0hnD2rXJ/HVLyZPorwYQo9BHEEVOGrmSe13nD885cBD0DKByc53wA9ToCcUFEH2upG1RoyHnjz9QJZRema3Wqpl/dT6Xky6X1Ev58UcSJk9G4epK9Hu9+K29DMG7Fn0va7hxdiepBQ9H4ai1ai7f1bVxLObYQ8eVISHEjnobAQGrN98k99gxsrZvLzn+W8hvaEUta26tIT8yHEMvL+Dldv1I4v+cKQwMImbQIBImTyZ946YnOqcoLAxtdjY2Y99B36F06KFZ164oqlQhddUqZp2ZgVyQ81ubtdSdv4+RvyVhHJbAluAtpc7ZdHsTaq2acV4Pj/oEQcDTwpOB1QbSyrkVjiaOD8W5C4LAx40/JkOZwa8hv9LFrQsH+h9geM0Hm4A7mjhSy7oWPvE+JOcnsz5wPZ0qd6KWdS32XlxH0idziRs/nrzz5xFFkdQVK5BbWWE1YgTmXboA0Cpchp2RHXqnLiO3ssKofn2KIqNK+ujtXYm8IjXfHA7BQp1FxjUFAJl3TKgmJnA+PI2dfvF0S7yOQXoK6et/pvjkKt3J7WehjIggafZsEt7/gIIbN5/ovQDIu3ABUanErEtn9KysMKpX7x/9/gGpAZxPPM/oOqMxVTx4yjBXmNO3Sl+ORB0pmXQXRZG94Xu5evdBnHxiXiKfXPgERxNHclW5HI5+eNJWW1REyk8/EdW3HwmT30P47itmdnDn7J1UtgacRSFTUMemTsn793mLz6luVZ1Z52YRn/vPeYJuptyklnUtbIxs+KzFZ3ze4nMuJl185MT/nyR/8y3IZDh88glWb71FUXgEBVeukFKQwuqQLbSTmdG+oJCiYECrxaRlS3JPnHjgHvoTjzagMC3JJCqq1STNnkPitOlEdulK3IQJ5J4+Tc4ff3D647eo/ukv5Iwcx51+fYns0ZP01WuwGDwIw/VLmGd9nozB7fBauQksLRh2sohNQRsfsj0wLZBcVS4KmYKj0UdLHSuKjCT27dEIRoa4/boFh0/mYNK2DcnzF6AMCSGtMI0TsScYVG0QtfVckeXkIW/XAmQyiu78x8VfEITugiCECYIQIQjC7DKOGwiCsOP+8auCILiXR7/PA2VwMIX+/k9+QsghWOIFhaWjLUSNhpTFS4gZPhxNTi4GtWqRsXkzWuXjV2UW+PoCYNy48UPHBJkM2wnjUYVHYH8zjk+bf4rF2r2o09KQW1kx1ceYdf5rSkY3d/PusjNsJ708e+FYqCD7wIEn8lf/HS87L9Z0WcP+fvv5ts23uJm7PVSnY+WOBKQG8MXlL9BoNUyvOZFp12yZ8X0sWQcPUBQaRvy48UT37Uf+ufNYvzMGmYkJuTZGRDrJ6BJtRkurBrgG3MOse3cMqldHFRlZIjgtq9hgbaJgz81ERsX5oMrRx6pHK9RKOc2SozgVmsz+6/GMjLlApqMJWlFL6ua9UK0LooUryd/OR2Zqir6TEwkffkBxSsoTXXveyZPILSxK3g/T9u1QBgWVxHH7p/gz4tAIPrv4GQcjD7L05lIsDSwZUXNEqXaKIiIYpvTCPa6IY4eXkx8UxNLdH7Pi0P8Yd2wsM8/N5G7eXT4+8zFaUcvPXX+mlnUttoVuKyW6hYFBRPTuTfqq1ZyvJbKvlR7Z+/bRZtlcetnD1aTrVLGoiUKuKDnHSM+IJR2WICIyzWcaherCMq+1WFNMYFog9e3rl5QNrj6YyfUncyDyAMtuLivzvNxTp8jz8cHuvffQd3LCvGcP5NbWZPyyhSXXl1CsLWZWmwX09hxAyxtKipt5YTNxAtqCAnJP+5Cr+kt0j54BVOkAYUcRi4pInP4ROQcPYjNpIraTJqEMDiZh8nskTpuOw3F/LPXMSTWHcP0MDKpUwWn+fKy+mMu8G9+iETXMaTYHPTMzHKa8T504kTtHtj8U8XY+4TxyQc6YumMIyQghLufBosPMrdsQi4pw+0XnfhVkMiotWIDc0pLEadPZE7ANtVbNmLpj+MJZN8Daqr6EfuXKD4388y5epDgpiZeBZxZ/QRDkwAqgB1AbGCEIQu2/VRsLZIqiWBVYAnz3rP0+D8TiYuKnTCH+vSmIKtWTnXR1NWTH6TbF/gtZe/aQvnYtFv374XnoII6fzEGTnk7Wrgexv6IocjnpMtlFpVex5vv6ou/igr5T2dEn+l07kGol501fIxpEimTv2YPN2LE4zJ2LXXwubW4UMdVnKsMODaPb7m5oNMWMDnMkqmcvkmbOInVZ2V/gx9Eg1QRX2aPj4Du4dkBE5ELiBcZUewP1e59guesM/l7GrJpdh6onT2D/1Rdk5qaQZ6Egq5duI5SdYTu5UgNsojPocKUQRTEUd2qGQRVPNNnZaDIzAd1eAN3rOmKlzKFT8DVMnJQ4zP4IhY0C27BULoanUTsmAMuMe2xqVsipxnpkh4PSpju5x09QcOUKdh+8j8vyZWjzC0j8cOpj32exuJhcnzOYduiAoK8PoHP9AHnnzhOTHcP7p98nKT+JU3Gn+OTCJ1y9e5XRdUZjom8C6Ebp977+hqjefVBPnM3XWzTUn7uNuMFD6PrpEZat0bD6gCMX7pyg+57uBKUH8VWrr6hsXpkRNUcQnhleMvEqarWEfjyF1KxEvhmhT/iUHmxtC8Gz+lMcF8eUDbNZvCWafmsTSV67HlHzYO2Fq5kr3zX7GmefEH65srLM6w3JCKFIU0QD+walyid6T2Rw9cGsC1zHvoh9pY4VJ6dw9/MvMKheHetRbwEgMzDAavgwcs+cwff6QUbXGY2re1saqdtimQ/nm5pi3Lgxek5OBP22grY72pa4qwCo0RNN+l0SJowh9/hxHObMxv7DD7H74H2qnTqF/apl/DjFhVn/c6Hp/pMI381hdp9srk7rSGGXZrz9x9tcSrzEzCYzcTXTre+wGjYUwbUSQ04W8ktA6dH/xaSL1LOrx+DqgwE4GnO05H7nnjyJSZvWKFwezAPoWVvj9M3XqGJiiDywlVaVWuFm7oZjuu5+nySEWFttKfHXZGcTP2EiiR/PeCk2MiqPkX9TIEIUxShRFFXAdqDf3+r0Azbf/3sX0El4CdfQ5/zxB+qku2jS08n1OfP4E7LiIOb+ZGnEiZJiUaslY+MmDGrXwunrr5GbmWHcpAlGjRqR/vPPiCoVoiiy5MYSxp8Yz7jj48hT5ZWcW+jrh3GTJo/sdnvE7+xuLlIpLp+k6R+hqFoF2ynvYd6rJ8ZNmjDqvIy4+NsYCQbMlfXit0MeqBetxNDbC/OePUhftZqc48cfXPfRo0QPGYoq9tGLuQr9/YkZPoKUhQsfWae6VXWcTZ2xM7Kj38E0ioJDcFmxHNlnUzmjvs2RhBN8YHyAMW/nMXWSgqGnRrHKfxXbQ7ejbqcbVTvtOE+qOdx2UqPw1E2UqSIf5P7pV68S7wYdQq7R4NgwB8HaA+tOtdGki3ilRzIy5hy5NkZcr63Pb82K0RgIpOy8SMp332FQvTqXm5pxwySNSt9+Q+HNmyQv+v4f3mDIv3YNbU4OZl27lJQZ1KyJnoMDGadPMOnkJAQEtvTYwvnh59nVZxfz28xnVO1RgM5lEDN0GJm//orVqLeovHEDWfM/YP4QGQsHyQib3ge7j6ZjFXaPDUfd6Wzdgin1p5RM2vfw6IGFgQXbQrcB4LPjewxjk7narxpfTd3PonaLaOLYhHXmN6m8cweqId24ZwX2yYVkLP6BrJ07S11PjT03mPiHltrTfybufGn3BuhcPsBD4i8IAnObzaWeXT1W31pdsqBPLC4mcfp0tAUFOC/+oeQHEiC5a300gsjQm8aMravbAzl3+07y7EzYYh6IUltEfoeGWPhHY5xbzIJrC9CKWkStlqzgYiIP25N31R/HL77A+u23H9iiULDS8DKXzZL5qt23mCnMGFFzBM0cm7HQdyHDDw8nPjee5S3mMdTtQaZVQV+fSh/PwjUNEnduKQl1TitMIzg9mNbOrXE0caSBfQP+iNa5nJQBAaiTk0tck3/FpGVLtKZGuEZklzzlFUVFIejr06X5G1w0iEcZG4taqXvKyjt3DtRqCm/cIO9J9OU5Ux7i7wz81YmYcL+szDqiKKqBbODRQ8gKQBRF0tetR1G1CnqOjmTtKh3ylanMJCQ9pPRJAfe/WM6NIeJUSV7zvHPnUEVFYTPmnVL+c9sJ41HfvUvWgQN8c/UbNgZtpJ1LO8Izw/nQ50OKNEUUhUegyc5+pPjnqHL4OfBn1N1ao+foiLawkErz5yNTKBAEAYf/fYp+oZrNp6oxd0EM3t/sQx5/D6f586m8YQNO8+djWM+bpNlzKAwM4u5nn5M4dRrKwECyDz08MQu6L/jdzz4HUST74CE02WXn2xEEgR87/MhK9TDydu/FZvx4zDp2ZFC1QZgpzJh9fjbROdEs7PA9B4YdpbNbZ1beWkm6Mp1+7SZiULMmglrN1Tr63EoPxKCKJ0Apv389TQYdE25g3aYSChcn0DfEonsn5Aot0wN+p2pKFHsbqRns0RMPmYojrQzJv3SZ4qQkUif0ZfaluUw/Ox1l24ZYjRxB5m+/URQVVeb1aFUqUn9aiszMDJOWLUtdp2GbluRcOEdudirLOi2jsnllZIKMGtY16O3ZG325Pqr4eKKHDEWdkoLL6lU4fvIJJi1a0Kz/BNy6D6T/mG/pP34htuPG4fzjEsSwSN7bkMLYykNL+jLUM2Rg1YGcijvFrrDfyfl5E9nWBkz++Dc8LDwAGFZjGIl5ifgqErg2oAaLBsv5Y+YP3LSrRtL3i0vcU8qwO6Rv2oxe6+Zo5JA7fhqpy5ajTnuwRuJmyk1cTF1KJvL/ip5Mj1G1R5GYl8jFJF10WcoPiym8fh2bz+eS52xVUtf3ni9jr8/gZj0T2lzNJal7H5I+mUuh33X0B/UhX1PIrju7+M7qCnIRvlR243b6bU7sXULsiJHc/XIBChsjPEZaYDV8WEm7xdpivrnyDTvv7GRU7bdo4qj7nsgEGV+1+go9mR7m+ib8ZtaIttvfhd/HlLoGs65dkHnVYvCpIjaeXQLApSTdor3Wzq0B6O7enYisCCKzIsk5fgL09THt0OHhz7tcToSHIfXj5CXnqqJjULi7MbPZbGo06oxMFPlh93T2R+zn0rYlZJvKKHCyJHXJ4lJPZRVBeYh/WSP4vz/TPEkdBEEYLwiCnyAIfqn/Mi+GqNWSvHAR2QcPUhQV/cT+7byzZykKD8e2nRuWDWzJv3CB4sQH8fRLri/hzSNvkqnMvN+RCLe2g1sraDwGcu9C8m0AMjZsRM/JCfPupfO7m7Rpg17N6txZuoDTV7fzEV35Krsj33jN5tq9a8w5P4eca7qIA71G9UgrTONO5h0uJ13mYORB1geuZ+bZmeSocpjSZCouS3/CZdlSjO5HFgAYVq+OzTtjKAoNw7CeN84//UTVs2ewHNAfQRCQGRjgsnQpMhNjYoYMIWvnTmzeHYthnTrkny87EiR90yaK7tzBdsoURKWSrL17Sx3PPXmS9A0byTl2HOdbd2HRGoybNMHug/cBMNY3ZmrDqXSq3IndfXbT3b07NkY2LGy7kBWdVvB+g/dp7tS85H6ltK5BQGoAeo6OCMbGFEU9GPlf3K1zWV2olauL2QdkLnWxrJKPY046alNDTnhpGVRQxPisXLY3LEblbItB727MzPsFd3N3ijXFLPJdhO2UKciMjEhd8iPR2dEEpAaUuq7kr79BGRDA7iFOZIgPUjpoRS3b3JLQV2lZsc+GOsLDYYEAactXgEaD+++/Y9a+fUn5n0LVr+qDB2TzLl1wXbkCVWQUidOml3ILDK0xFK2oZefOedRIEHGb+AGGhg8mkjtW7oitkS07wnZwM+UmnhaefN2vOQfav4GmUEn8twsQtVruff45cjMziqbPI2zxeM7XEUhbsYLw1m0I79iRhKnTiI7we2jU/1c6VO6AnZEd20O3k3P0GBmbNmHxxkg+kP9O+53t6fx7Z94/9T6TTk7CycSJrst24/T1VxjWqEnO4cPITEyoM+p9HIwdWOi7kAirIqjmifvJUBbtMKTyJ+spSkzAaf583L4YjaEmGFLDAMhSZjHxxAS2h21nTFYO0yJu6lJK3MfJxJGDnm/ye3gInjd+A7uaEHkK0h98fgRBwH3+QkzUclyX7iM2K4YLiRewMbTBOTCZ1GXL6eLWBRkCR7f2Iff4MUyaN0duXjrTq1qrZvPtzVxwzMYmU40mSbfTmio6GoW7B4Ig0L/rBwDE+p9j3tm5OAbd405dS1Y3y6EoPILsAwcfeZ+feIHdM1Aecf4JgOtfXrsAf5/R+LNOgiAIeoAF8FCOAVEU1wJrARo3bvyvnGLqe/fI/O03xCJduKPM1BSbceOwGT+u1ChcLC4GQUDQ092C9HXr0XNyxLxoP2qFijRsydqzF7v3pyCKIhcTL6LSqjgQeYC367wNiTfQ3I0gJbs6+b/8jGN1A0wjTpKSmEPBtWvYz5pV6hE4PideF/5YJ473dytZsQrgCPc4Qr2ePZj17iy+8/2OunuPUs0chvr0hTI8Y+YKc8bWHauLE3/Es5Pd9Ok6YTMoOy5b38EB12XLSF64CNtJkzBt05rUpctIW70aTVYWckvLkrqq+HjSVqzEtHMn7Ka8R/6lS2Ru24b1qFEIMhmFAQEkfDgV/jKKkdvaUumH70vuLegEbGiNofydti5taevSFgDr0aMxatiQSvKLnAz+BZVYjIG7O6r7I//YnFhSz59GawO/meQy0KqpblRhWx2ravlkRFpxppkxNZzcqB54gKrObXA3U/PFJBXWpjkUpheyodsGjsceZ6X/SgZUG0C1d8aQtmw5X7peJNRRy7JOy2jt3JrM338na+dO9rWQsc0hCt/j49jYbSOWhpas9F/JFsV1asweTI0fDxMzbDiu69Zi4OlZcl1FUVFkHzyI9ejRpXzF/4RpmzbYz5xB8ldfk3viBOZddfH9LmYu9PTsSfPdJxGs9HEYUnoiWV+mz8BqA1kXsA5DPUN6evTEWKHHpxO7syvwIsP+OEKSgYJCf38OdB/Lql8CWfPWQBYNO0RYB0PmGg+iKDCInBMn6JCiplLb+mWZV9LXoOqDWHdzNUkbAjD08uJUHxeCbu1kRM0R5KhyuJ12mwb2DVjYdiFWhlYw2A3LwYPRFhSgLShAz9qa3p69+TnoZz5t/in2xZmkfPcdlW2t2NBFRqURfZjWsr8u7cOF78lf255D3j3ZoIwjrSCZb1PT6GNRC8IOw+53YdDPuhXEBz/EJnAnuLXWpZ02sYcltcFvA3T7puQaDKpWxfyjD6i3YAmnlnzEpVrJjLvjQuIXk0EUcbS1obHcnFuZaXRMSMRmwoQHN+BeEIEHJvClgz2hWRH0b9oYTlyj4OpV9B0cUMXHY3bfRaRwcwN9fSab9+ADe29E1df0Gj2PvVnLibkWieynHzHv2aPkexqVFcWxmGMcizmGvbE9a7uufaLPzb+lPMTfF6gmCIIHkAgMB0b+rc4B4G3gMjAYOC0+pxkP/UqVqHHdj6LISJRBt8k9dYrUJUsoCgvF6ZtvEPT0yNy2jdTlKxD09bEcOACD6jUovH4dhzE9EQpvoG8EJl4eZO3Zg+3kSURmRdLM5x5ecZB6dQ25w93RnF5FymEHNMW30HN0IP6sDSnir0SmrqO5iTGWQwaX2BSaEcrIwyMREendvRcyd1vszSuhcLQmb+lkMo78waDRo3Fstxi7lbPJqufGh416YqxnjI2RDTaGNtga2eJg4oCRntFj74EgCAiPEP4/MapfH/etD5JtmbZtQ9rKleRfuoR5z56AzhV2b96XCHI5jp9+CoDViBEkzZhB/sVLGDdpTNLsOejZ2eH+269ocnIoTkrCsHZt9O3tn/q9kxkaYtK0KfXi8lBr1QSnB2NfpQoFfn6otWo+OzOHabEaUjvWIVw/jFvGptQHMLZG386Ggul1WCcGMU/fHvJTkLV4j/FCITPOzYD8WL5q9RVVLKsw1mwsh6MO882Vb5jc/h1sNsCbZ2DTxCpMPzOdny3fR+/LRQR76nOtjwc/Nf6QGWdnMPHkRAZVH8SagDUMqDqAvi3noWw4jPiJE4kZMRLXVaswbqgbNactX45gaIjNu2Of6h5YDRtG1vYdpHy3ENO2bZEZ6hY5/c/6LeLu7Md26lRkRg9/BoZUH8L6wPUUqgtLRu51nS3w+2Aydz++Afv2EepQlQ0mtTGUCZwKyeSjxh8x89xMnGun89Ho70mYMIKW125hZeX1UPt/ZVC1Qdz8fTViajry2VNZdnshbV3aMqfpnH9Mhy0zNkZmrFtNPan+JFo5t6KJYxPEyioMPD0wbt4cQ7+v+SViOzeygnAwcUDRbDCnEs5QkHGNWkXFLErPwLv1LGg9HS6vgONzQdRCRjQkB0HHT6H1RyC779So1Qdu/qor139w31zfHsf5Y3totCuYwjoCTQPSMe3QAbGoiOSFixg6Uo5vpAxREDHr1KnkvN0Xv2aeIhu7fFjcfjGdXDsRsbot+VevYtSgYckqcNDNMRh4eKCfkI2eKpQcExOsWrZlYb4bXwUOZc5vycTMmM7tJnZsM7xFYEEEAgKNHBqVuVCzvHlm8RdFUS0IwhTgGCAHNoiieFsQhC8BP1EUDwA/A1sEQYhAN+If/ugWnx1BTw/DGjUwrFEDi4EDSF+/ntTFSygKC0bUiKhi4jBp2RLB2Ij0DRtBo0FuaYmlXRRku4Igw7KaksSAu2Ru307G75t4K1RLoYMF3j6ZJJyeCICRqzmOS39B4eZG3Lh+2J9LwB7w72xHbdMHj+Wr/FdhKDdkT789OJo4wp8bRd34BcOaKWTHVCZ54ULafPklUdkFeHcZTjuvh0fJzxNDLy/kFhbknTtfIv4Fly+Tf+ECDnNmo+/oCIBZt67IFywgc+tW8i9eRBUVhev69eg7O6Pv7IxhrcevXH0c3nbeANxKuUXvKp7kHDzIL35rKfK/hYEa6rfqiHFBCL8rEygZo9rWYLcYhbHClG5BR6FyS/BoSxdRSwP7BlS3qk6/Kjo3i0Ku4JNmnzDhxARm+33B2K6V6bY3ju+jmxN0JAK92G9Jt9ZnzUBj1nVeipu5Gz+0/4FpPtP48vKXNHJoxP+a/w9BEDDyqov7ju3EvzuOuHfeweWnH9FzdCTnyB/YTJyAnrX1U127oKeHw9xPiBs9hoyNG7GdNAlVbCwpn32OzMQEq5EjyjzP0cSRti5tORN/hob2DUvK3+5Qgy/6jqPZkc1sbz2Sve+1ZtXZSE6FpPDtgG4Mq3GdzcGbUcgVGDQ0p+05sA9IhM6Pfh8dTRwZEmJJplkGS/V0gQ5zm819qn0QDOQGJf56QaEoiaD6qNFHGMgNiMmOISQ9hKyiLDp59mK4eQ28Ag8htBsLNe4vQGw5RTfiPzUPDC3hjV1Q7W+i2XisbrOZoD3Q4I0H91kQ8F68hrDePegYIGI8ZAAun3+JOi2NqD59qXEgAwu1nNuucpJyrtPZugtHo44wLzeIloVKvq88DFM33QjfpFkzCq5cRdVN57Y08PR4cJ3VqlFw4wZiUBCm7dohUyiopqhGryGz+SN0Hh1Pn6bqcfhELpDavyV1584vc77leVAu6R1EUTwCHPlb2Wd/+VsJ/L+9+w6PqkofOP49M+mdFNIhCYSW0APSQpEOUiyAWMDuqmtXlp+6u7q6dkVdXRVwd20oNoqCBVARLDSRFkCalCSUAEmAkH5+f5wJJJCQhGQyYeb9PA9PptzMPZc7ee+572nj6mNftaWUIvTmm/EMKCbj8ZdwC/Ak5vV/49e/P0opig4cJGf+PDxjQrGsvMHUKHQp/j+8jLVJaw48/gQe3m7MGt+Uh//2NZe8P4hhh4O4dfNK/O6fhmpj/kg+uz6J/U3SGZXmyett9pGydzmJmxaytfAI3x79kT816UKEu3/Fwq3/CKu7JqyLZv+yNRx89jkA09j76c3QvCek3NAw/09WK769e5sBTaWlKIuFrDfexC0sjKArT1+rLR4eBI27gsNvmlvSoIlX4tend72WJdQ7lGi/aNZnreeyePOH/sX3bzLuaDxY/yA4PoiRK04w320jUwpyCPQMZFNQOF/n7Ga0X3t8ji000zgohVVZeXvY22cFpl5Rvbim7TUcLTjKLeMfImP1FeS9/hYtwsOYPSKfL9qe5IVhz54az9A/tj/P9nuWudvn8kTvJ3C3nk7pecTE0Pz999h78y3svePPeMQ1x+LvT8j1FRsba8q3Rw/8Bw8ma/oMsFjJeuMNlLs7kU8/dVbuubx7u95Lx7COxPjHnHpNKcW9Uyby2aC+zEiJIcDLncHtwvl8XQa/7c3moYseori0mBkbZuDp7UaKnzvH5n9O4KCqa56F+9KJ3XyYT3rB8v0/8WDKg0T5RZ3XsZ4pyCuIR3o8UvmbHSef/VrqfRCeBE3bQlCzs9+P62PWFFg1s0LwBwiKbM6JZ+5nb9pvXH7nP4aDU10AACAASURBVFFK4R4RQcTdN5LxxEsEAj93KuG55f9H+okMXlozjc4FBUw7mIV38NZTn+PT4yJyFy7k2LdmYsOymj+Y4J+7wAzS8x90+g5ifOvxvHRfBotO5jEqL5GgL37E+uk3+IzZBd0voODf6OUdwT/9X7S89CgWVYCK9ziVT3cPb0rozTebKQB0KXS8EooLUMtfJGxsN47t09zb9mdSuwzBy82L4UmX8u6m/zEp0Rt/Wy1j77G9vJf5A8PbFdNhyMUU5P7CjAU38+yhLGaEBePj6cY1v80H7zgY/JgpU84+003UtylBkXs4EteD499/jzUsFI9QX9jwEWRtbbDgD+DbN5XchQsp2LKF0vyCU20XZ7YdNJkwgcPTZ+AeHU34Aw/YpSwdwzryS+YvPHYyg5uAHoWxdNvjiVvHjljzMxh37DgfB/jzxc4v6BPdh9tPbCS4pIQ//b4CmvWE+L6nPquqGulfuv/l1OOYV/9F4c6d+A8axA35+xl6PJ0ekT0qbD+4+WAGNz+7yx+AW0gIzd55m32330HeypWE3X0X1sDzX9O36V+mcHzpUg5Nm4Zv795E/vOJU3dfVUkITCChfcJZrwf5eHBDn9MBqX/rMNytikWbD5ASF8zfev6NEl3C3O1zyU5tj+/i7yjJyamy/NmffIxSip1940kK8eOqtmdmeRtYq6FVv6cUdLsRvpxi5g+KqtiYffGgG+GM61xAxxCOxZzkWIYPVwYd5nMCeX7187RzC+S1Q5l4Jww41bkDzMUaIHfBQqwhIRUu0J6JLc0Dd3d8+1b8Tt7b9d5Tz0tTR7EzLY39f3+U+Llzqmyvq0/OP72D1jDvz3D8INab5qECwuG7J091yzxl3YcQnUJpSAtKm7aF0NY0abqDAw9PIt23gJ5RZkDSuMQrKAHmRCWC1Vw7p62ZhpvFjbubdCJw0zwmHMniay83vr/0Jb7x9mRih5sJTLocVk43i1gAbLB1JR34V5QFml5tvsC+3bqh9tjmi89cDyeP2vt/6BS/Pqa72vEflnH4zTexBgWdmpirPPfISGLfeJ1mM2dg8fW1S1k6hHXgSP4RVrrtRlstXFucQlHaZnx79oQju2jrEUJySDIfbPmAWxfdilYW3tx/kKYnDptJxmo5jMSrdWsChg9HubsT6x97VuCvCaufH7EzphP94gsE31i7XP+ZPGJiiHr+OSKfforYmTOqDfy1EeDlTo+EEBalmVlRLcrCoz0f5bm+z9Fl8n3ooiJyvzLz22ityf3qa/I3m27OuqiI7E8/xa9vX16+8n1mDpmJm6WR1yE7XmmmnF7+0tl/95VQB9OI6plL3Kz3iIxP5l8FvoxtMYY3Dh7Br8XFpnJxZBcUmB5g7rGxuEVFovPz8SxX6wdT8wdzgbD6VT2hoMXbm4hHH6Vw1y4Ov/lmHQ625pwv+JcUmbVDv3/GBPTvnzK9AgY/ZtIoqffD7uUVJo1aselDnipKZ1KglR6zenD1wmsoSBoLu3/k513fYFVWukd0B6BZSQk9T57kv/oIVy+4mklfTmLR7kXckHwDTVuNhIJcJoV0xd3Ng/vWvoCXmxeTkiZBv6lQnG++gGDGCMR0h6RLAYVfTCGhd91pBrPsLluZSsMfVa9SxZr/mRkr64lbaKiZkOuj2RxfupTgyZNONdCdya9vX9ObwU5GtxjN3V3uZs7ln+PZPM5MAKY1vr17mWUBgxMY13ocu3N3czT/KK/3fpL4omKI7QHx/exWrupYPD0JGDECi4dH9RtXI2DIEILGjrXLmsKD24Wz89CJU+sfWy1WhsUPI6hjVzwSEsj5fD4lx46Rfvc9pN9zD7suu5yMRx4h+5NPKDmURdD48QR6BlaYu6jR8gqEXndB2lxYesbkAod3QMYZ07kc2IQlohXenbpA4lCS9v3G401TaZKTDu3GmDQTGg6ZNQuUUvheZCoLHmcEf/eYGPz69SP4moopp8r49elNwOhRZM2Y2SATwjld8C85foA/di0ha9nT5M39E3rpM5A4BHrcbjboMtnMF/7dk+QVnuCx5X/lptX/ZI6/L8o3lMHNB7Px8EaeJgvQ/LR7CR3COpz+ku9cyp1Hcuge1gl/D3/cLe6MShhlun92vgauW0DoxI+5PPEKikqLGN9qPMFewRDaEjpOhNVvwbbFcHATdBhvlsELa4PK+JWw22/Hu2NH+GO5GT/g5n16BPGZtDYLYPz4MqT/Wm//f76pqRRnZGLx86PJ1dV/Ye3F38Ofm9rfRKh3KB4J8ZTm5WHx9TVjGmzBf3j8cEYljOLVga+S1HwA9J0CI1+oda3fFQ1sayYMLKv9l1FKETh6NCdXr2HXmLEcW7KEsPvuI/i668iZN5/9j/0Dt4gI/PqmVvaxjVf/qdDxKlMZXPWWqSQufQ7+3QPeHmWmjy5zYJMtwAOthph08MIHweIOrYadfu/AxlO/4tvjIuDs4K8sFmLffONUg3Z1wqdOxerrS+bf/n5ec3DVRiO/X6u9HE8fRgW7Q7Bp9HJTVu7vOJJrygKCuxek3s+6xVP5vw9S2acLuT7nGH9uNgKPkWYGyDDvMN7a+BYJ0a1Iyz/EbW3LtVXvWkp7zxBeGfpW5UEmzqRObu5wMyeLT3JD+3I5+35TYP1s+OR6sLiZ5e8AorvA71+bgJ53BA6mma5pVg/YVUXw378ecmwDq5c+A1fVzypFfv36cvjNN2ly1VXnbFxsMCXFePoXcRzwifNHrXsPju+H4Hi83bx5MvXJ09te/LDDinmhiQ7yJikqgEVpB/hTv4rzzQeOuoRDr7yCLimh+bvv4NPF9B5qMmE8Wa+/jm+f1ApjOC4ISsHoVyDvMCy4H375Nxzebkbnp6+Gnd+ZxehPZpu/q262tF1kZzNeIHs3JA4F7yDwDAAP/4p5/9RUvJKSzJ1pHbgFBxPx2GNgUSiLfevmF9gZrJ63mzdPpT7FicITnCg+wU8ZP/H8ry/RNqw9XcO7ArAuthM3RUYQUlzAf4K6kNL/VtM10ObPnf/MukPrePbAagB6utm665WWmnRRy8HV1i5DvUP5R+9/VHyxSRx0vhbW/NfUIHxto7Siu5gFrrP3mKAOEJcKygJL/gEnssA3tOJnbVlg3u9+K6x43dT+o7tQV96dOxP98suOr9mVlpq7pJ9ewTPjENAEX5+dZt1XgLDWDi2eMxjcLpyXl2wj63gBoX6nGxjdo6OJ++gjPGKiKwz484iLI+qZRjknY81Y3WHc/8xaw0d3wZWzzN/y8y0hbb4J/gdtS6WG2xbqsVjMAvW/vW9SPmWvhberEPzdgoOJ//Tcq4Cd09zbzd/44H8QMPTci/fUF6dL+3i7eXNJwiVMaDOBG5Jv4KX+LxHtF82UH6ZwJP8Iu3J28efv7yHMP4b3xy8i5fJ3TW293FXWzeLGc/2eI9QrBP9STfJm2yRoB9NMzSGhDjnlvg9CQAx0Kze3frS5KJG+xuT43bwhqgvE2XoHVJb62bLANDwNeMj0cT4zl3melFIEDB1S6UCiBrX2XVj4APhF4HPrNHx798L/uRVw568wab5Z8EPUybDkCLSG/yzfddZ73slJFQK/0/Dwgeu+gHs2QpuRZoH51iNMu2Bx4emAXpbaAeh0NYS3hzblvnPhSSbtUx9jVbP3wm+zYM3bUFJc/fb1xOmC/5n8PPx4vt/zZOdnM2XpFG5bfBsWZeGNwW8S4l913+RQ71BmDn2Ll0J64ZY2F3IzzALVUKEbYa0FRsN9myoORmmaBFZPW/BfDrHdzJcyqrO5vSzXOA2cHs3YZiR4BZjBLr9/Va+5f4f77X0Iaws3foN7r4k0e+st0+MlpIW5+Jat+iTOW5uIAMZ1jeHNH3ayMb3yyfqcksV6qqceAG1HQ34O/PGD+bvybgL+5aZTj+sNty03r5cJTzK/k1txPe2zaG16F+7fUPU262cDGvKzTQxoIE4f/AHahrTlL93/wor9KziSf4TXBr5Gs4BKBoScoUVQC7qnPmQafFbNhJ1LIbgFBMZU+7u14uZhFrne8Z358sXZUi5WN9ND6cy8/1bbeLqy2m/3W03t//un6rdcjnJ4B+xdAZ0mSuOtnT0ysh3Bvh5M+WQ9RSX2bWBstFpcbFYOS5tva+xNrv57V5YWKpf6qdSBjeaufNkLlb+vtVmvOKK9SeNu+6by7ezAJYI/mLlPpnSbwuuDXic5tOqFt8/SJM4E2dX/NV0w65LyOZforqYHENr09CkT3xcOb4PczNOvbVlg7hZss1riFQB97jFfnK1nz9F+wVn3gflDaOApLlxRoI87j49JJi0zl+k/VD61tdNz9zIDxbZ8AQfSKqZ8qtLUNv1FuR4/laZsttgqar9/A0WVrJ6WvsY0PHe/xXT9LrcuiL25TPBXSnFtu2tPNfrWSo/b4OQRKDxuvz7kZXl/q+fpx3D6LqAs738iC/b8bFI+Fcp4h5nCduEDUHjCPmVsCKWlsG42JAyAgMpXMhP1a1hyBCPaR/Dykm18uHIPWccLHF2khtdujGnPKzpRs+DvFWimkyir+W/+Ap5pboJ8eVsXmN5BRSdgx7dnf85vs0wbX7uxpmE5cx0cO3D2dnbgMsG/Tpr3NrdlULd8/7mUBfzY7qYmUiaivUnp/PCcmcVw9X9NGurM4O/mAZe8ZLqpff+0fcpYXs6+87/IZG0zE21VZvePZlnMjpVPYCbs47HRycQEeTP1sw10++diLn/9JzZluFA7QMtBJghDzYI/mNTPgU1mCddPrjeVw59eOf1+zj4TzHvdZf6G0+ZX/P3iAtj4KbS9xNy9J9qmDtm+uM6HUxMS/GtCKRjxAgx9EnxqN0tjjQUnmB4FSWMrvm6xmoFLFjf4+iH47gnTWyiy49mf0bwndJlkLhLnamCqq0Nb4dVusOjv5/f7X00187AXHD/7vXUfmEbuMy9uwq7C/D1Zcn8/vrizD3cPTOSPrBM8NGdjo1hrtkF4+Jrgqyymo0FNhCeZiswHV0FIIvS+x9yhH7St+LfVLAVJuzG2HkVfmh5FZbZ+aRp5yyo6ER3AL7zBUj8S/Guq2UXQ8w77fb5SpkdBt5vOfq/9FXD7z3D3OhjxPIz9d9UNUoMeM70SPrvF5BvLrXRULwrz4OProCjv/L6kx/ab219dYibaqvDZJyBtnrkAelQ+rYSwH6UUydGB3DOoFVOGtWbd3mwWbz7o6GI1nEGPwmUzav7dC08y32O/pnDtHFPDt3qaEcRg2uZCWkJYK2g3GgpyTvfc0xp+fcf0Kkrob15Tyow72PFtg3T5lOB/IWkSB91vPnejs0+wuTicOAQfToQX2sDiR+vvy/TVX8x4h9YjzUpLR6te9L1S6z8yaSuAfSsrvrdlobl1lpSPw13eJYb4UF9e+GYrpaUuUvsPaWEqWjWVMAC6XgeT5oF/uBm0mXyZmVMsJ9102y7rkZcwwPQo2jzPPF/2vFli8qJbK3ZbThxkupDuW1Vvh1UVCf7OqNVQuG8zTJwNzXrA8mmmIbiut/DrPza1lT73wkDbhHJlYx9qoqxbW0w3c5u894wv+PZF4BNqBq8Jh3KzWrhnUCJb9h9jwYbM6n/BFXkHwaiXoUm5CQ673QSFx2DOrVBadDp9eapH0QIzmOvbJ6DDBOh1d8XPTBgAytogqR8J/s7K6m5WPLryfROs1/wXlr94/p+38VOYf6eZNXPAI2Z6Bb8I09hVU5nrzF1Dx4nmArBv5ekLktZmnENC/wqjrYXjjOoQRetwf6Yt+p1iVx0DUFvRXSGyk8n9+4Sa73mZtqNNj6LP7zLf89Gvnv1d9w6C2IsapL+//JW5gov/ZvrML/mHuSWtjZJi+Oav8MkNppF5wrtm8JlSpufTrh9qfkex7kMzWV3SpWYUc95hM0MnmF4TJw6aATeiUbBYFPcNacXOrBPMWVvNSFZhKHW63a71sDNSOoNNZ4aI9jD+XdNDrzJDHjdtD3Ymwd8VWCww5jUTrOfdce41AsorKYZZ4033tZQbYfLnpnGrTEI/07ZQNhnWOT+rCDZ8bCbP8gk2A1rgdG6zrA90iwE1Py5hd0PahdM63J8PVu5xdFEuHO2vMD18ys/fBaZH0W3L4YavTdfOqsSknB5EZkcS/F2Fm4epbTSJh4+urVlD7ZbPTaPU0KfgkhfPrqmUDXjbacv7l5bArAkwY+DZ8xH9/jXkZZk51cF8uT38Ya+t0XfHt2aQWkD9rAUr6odSisu6RPPrnmx2ZV3Agwcbkrs3jH8Hojqd/V6TOHMRaAQk+LsS7yCY+KGp0X94VeX97MtoDT+9asYfXHRr5dsExZq5jsoafX9+zUwwd2SnWSBj1gRY9iK8NQRmX2O6tbW0LWJtsZopqPetMsPed/8kKZ9GakynaJRCUj9ORoK/qwltCeP+Y1I1c2410ylUZu9Ks8hFj9vPPYNmQj/TpS1zHXz7OLS5BO5Lg4F/NwF9yWMmuPefCtd/aRqiy8R2N7n+7YuhpECCfyMVEehF7xahzF2b7jqDvlyABH9X1HIQDHnCTGQ1747KxwD8/KoZkt7pqnN/Vnw/0zf/vcvNfCejXja3van3wb0b4b4t8KdlJviXTURXJqa7GSSz7AXTENy8bqsgCfu5rEs0e47ksWb3UUcXRdQTCf6uqsftMOBhWDcLPrup4kjgI7vMhSHlhurzk/F9AWUafkf/q+KKY16B556cLSbF/MxYa7q3NZJcqDjb0KQIvN2tfPqrpH6chQR/V6WUWVN4yBOwaY7Jye+15d9XvGEGmnS/pfrP8Qk2Q9d73GF68tSGT7AZ7AWS8mnkfD3dGJYcwYL1GeQXlTi6OKIeON0avqKWet0Jbl6w8EHTWKus5sKQfEXNp1Qe/8757z+2u1mvQIJ/o3dp52jmrE3nuy0HGd6+4ncjv6iEwpJSArzcq/ht0dhI8BdmvqA2l5iFJTLWQtbv5q6gIXS+1vyM6NAw+xPnrXfLUCICvHjl2+0MaNMUL3fTEeB4QTGj/7Ucf2935t3Ru5pPEY1FndI+SqlgpdQipdQ2288mlWzTSSn1s1Jqk1JqvVJqQl32KewkINLMKz7wr2YUb0iLhtlv855mIjqZ0qHRs1oUT16WzObMXJ7+cgsAWmse+mwDO7NOsG5vNr8fOObgUoqaqutf3FRgidY6EVhie36mPGCS1joJGAa8pJQKquN+hRAOcHGbcG7oHc//fvqDbzbtZ/aqvcxfl8H1veOwWhRzZSzABaOuwX8M8Lbt8dvA2DM30Fr/rrXeZnucARwEwuq4XyGEg/xleGuSowN44ON1/H3+JlITQ/nryHb0aRnKvN8yXGcK6AtcXYN/uNY6E8D2s+m5NlZKdQc8gB113K8QwkE83az8a2IXSko1Ad7uvDi+ExaLYmznKNKzT7Jmj4wFuBBU2+CrlFoMRFTy1sO12ZFSKhJ4F5ista50WKlS6hbgFoBmzZrV5uOFEA0oPtSXz27vjY+HlTB/TwCGtIvA230jc9em0y3OTsudinpTbfDXWg+q6j2l1AGlVKTWOtMW3Ctd800pFQAsAB7RWv9yjn1NB6YDpKSkyL2jEI1Y6wj/Cs99Pd0Y3C6cBRsy+fuoJDzcpBG/Mavr2ZkPTLY9ngzMO3MDpZQHMAd4R2v9cR33J4RoxMZ2jiI7r4ilvx/iYG4+7/6ym/dX1HKpT9Eg6trP/2ngI6XUjcAeYByAUioF+JPW+iZgPNAXCFFKXWf7veu01r/Vcd9CiEYmNTGMYF8PHvh4Hbn5RafW+YkM9OLiNuGOLZyoQDXWWfpSUlL06tWrHV0MIUQtvbF0BwvWZzKobTiD2jXlvtnryD5ZyDf39iPQW0YA25tSao3WOqXa7ST4CyHsaf2+bC79909c3iWaZ6/o6OjiOL2aBn9pkRFC2FWHmCBu6ZvAR6v38f3WSvuECAeQ4C+EsLu7BybSsqkfD322gRMFlawfIRqcBH8hhN15uVt5+rL2ZOTk89p32x1dHIEEfyFEA0mJC+ayLtHMXLbrvBaDLyqpYslRcV4k+AshGszU4W3wcLPw2OebarUe8MFj+XR49Bu+3rTfjqVzLRL8hRANpqm/F/cMSuT7rYdYsrnmjb/r9uZwsqiED1fusWPpXIsEfyFEg5rcK46WTf149PNNpGefrNHvbM7MBWDZtiyOnii0Z/FchgR/IUSDcrdaeOby9mTnFTHylWU16v65ZX8u3u5Wiks1X26U1E99kOAvhGhwXZsH8/mdfYgI8OL6/61i2qLfz9kGsDnzGH1bhZIQ5svn6zIasKTOS4K/EMIh4kN9mXN7by7tHM3LS7bx9aYDlW6XV1jMH4dP0DYygFEdovhl12EO5OY3cGmdjwR/IYTDeHtYefbyDiSE+fLioq2UVLIK2Jb9x9AaE/w7RqE1LFif6YDSOhcJ/kIIh3KzWrh/cGt+P3Cc+evOXgN4S6ZZFL5dZAAtm/rRLjKA+ZL6qTMJ/kIIhxueHEFSVADTFm2jsLjiYK7Nmbn4e7oR08QbgNGdovhtbzZ7j+Q5oqhOQ4K/EMLhLBbFA0Nbs+dIHh+t3lvhvc2ZubSJ9EcpBcCojlEoBY9/kUbxGaN+9xzO47jMHVQjEvyFEI1C/1ZhdItrwitLtnGysASA0lLNlv3HaBsZcGq76CBv/jqyHd+kHWDqZxsoLdVorXlz6Q4GvPA9D3y0zlGHcEGp60peQghRL5RSPDCkNROm/8KslXu4sU886dknOV5QTJuIgArb3tAnntz8Il5avA0vdwsHcgtYlHaAqEAvvk7bz45Dx2kR5uegI7kwSM1fCNFoXJQQQs+EEN5YuoP8ohLSbCN720b6n7Xt3QMTub53HO/9sofvthzkb5e0Y/6dffCwWpi5bGdDF/2CIzV/IUSjctfARCbO+IXZq/ZyNK8QpaB1xNnBXynFX0e2Iy7El46xQXSKDQJgXEoMH63ax72DW9HU36uhi3/BkJq/EKJR6ZEQTPe4YF7/fgfr9mYTH+KLj0fl9VSLRTG5V9ypwA9wU58EikpL+d+PfzRQiS9MEvyFEI2KUoq7BiayPzef77YeqtDYWxNxob4MT47g3V92S8+fc5DgL4RodHq3DKFr8yYAtKkk5VOdW/u24Fh+MbNW7K7vojkNCf5CiEZHKcU9gxIB6GK7CNRGx9ggUhND+deS7WTm1GzaaFcjwV8I0SilJobx09SL6dUi5Lx+/4mxyRSVlvLInI21WjXMVUjwF0I0WlFB3qdG9tZW8xBfHhjSmiVbDspcQJWQ4C+EcFrX946nU2wQj87fRNbxAkcXp1GR4C+EcFpWi+LZKzpwvKCYx79Ic3RxGpU6BX+lVLBSapFSapvtZ5UtM0qpAKVUulLq1brsUwghaqNVuD+39WvBvN8yWLnriKOL02jUteY/FViitU4EltieV+VxYGkd9yeEELV2W/+WRAV68ej8TZUuGOOK6hr8xwBv2x6/DYytbCOlVFcgHPimjvsTQoha8/aw8n8j2pKWmcvsVXur/wUXUNfgH661zgSw/Wx65gZKKQvwAvBgHfclhBDn7ZIOkXSPD+b5b7aSk1fk6OI4XLXBXym1WCm1sZJ/Y2q4j9uBhVrrai+3SqlblFKrlVKrDx06VMOPF0KI6iml+PuodmTnFfLo55vIK3TtqR+qndVTaz2oqveUUgeUUpFa60ylVCRwsJLNegKpSqnbAT/AQyl1XGt9VvuA1no6MB0gJSVFEnNCiHqVFBXIn/q14N/f72D59izuHpjIhG6xuFtdr+NjXY94PjDZ9ngyMO/MDbTWV2utm2mt44AHgHcqC/xCCNEQpgxrw6e39SI+xJdH5m5kyLQf+GJ9hsuNAq5r8H8aGKyU2gYMtj1HKZWilJpZ18IJIYQ9dG3ehNm39uCtySl4WC38edZaRr/6o0t1BVWN9WqXkpKiV69e7ehiCCGcXEmpZu7adF5c9DtZxwtY8dBAgnw8HF2s86aUWqO1TqluO9dLdAkhRDlWi+LyrjFMn9SVguJSl5kHSIK/EEJgGoPbRQbw8ep9ji5Kg5DgL4QQNuNSYtiQnsOW/bmOLordSfAXQgibMZ2icbcql6j9S/AXQgibYF8PBrUNZ+7adAqLSx1dHLuS4C+EEOWMS4nh8IlCvt1S2ZhV5yHBXwghyumbGEZTf08+WePcE8BJ8BdCiHLcrBau6BrD4s0HufvDtaRnO+cC8NXO7SOEEK7mroGJKAUzl+3iy437uTk1nnsHtcLNieYAcp4jEUKIeuLlbuXBoW349oH+jGwfyWvf7eCuD9dSVOI8jcBS8xdCiCpEB3kzbUInkqICeGLBZopKfuXVqzrj6WZ1dNHqTGr+QghRjZtSE3hsdBKL0g5w23u/kl9U4ugi1ZkEfyGEqIHJveJ48tL2fLvlILe9t4aC4gv7AiDBXwghauiqi5rx1GXt+W7rIW5779dTF4DNmbnM+GEnOScvnOUhJecvhBC1MLF7M7SGh+Zs4JqZKzheUMLmTDMXUM7JIh4Y2trBJawZqfkLIUQtXXVRM54Ym8ya3UfxcLPw2OgkUhND+XDVngsmHSQ1fyGEOA/X9GjOZV2i8fEwYTQu1JfJ/1nJVxv3M6ZTtINLVz2p+QshxHkqC/wAqS1DiQvx4Z2fdzuwRDUnwV8IIeqBxaK4pkdz1uw+yqaMHEcXp1oS/IUQop6M6xqLl7uFdy+A2r8EfyGEqCeBPu6M7RTN3N/Syclr3N0+JfgLIUQ9urZnc/KLSpmxbKeji3JOEvyFEKIeJUUFclnnaN5YuqNR5/4l+AshRD3726h2BPl4MOWT9Y12JlAJ/kIIUc+CfDx4YmwymzJymf5D40z/yCAvIYSwg2HJEYzsEMnLi7cR6O1O20h/Wob5E+jj7uiiARL8hRDCbv4xOol1e7N5ZO7GU689PKItN/dNcGCpjDoFf6VUMDAbiAP+AMZrrY9Wsl0zYCYQC2hghNb6j7rssFFtBwAAB1tJREFUWwghGrsQP0+WPjiAfUfz2H7wODOX7eKVJduY0D2WAC/H3gHUNec/FViitU4EltieV+Yd4DmtdVugO3CwjvsVQogLgtWiaB7iy8C24Tw8si3HCoobxSCwugb/McDbtsdvA2PP3EAp1Q5w01ovAtBaH9da59Vxv0IIccFJjg6kf+sw/rN8FycLHTv7Z12Df7jWOhPA9rNpJdu0ArKVUp8ppdYqpZ5TSl34C2AKIcR5uGNASw6fKGT2qj0OLUe1wV8ptVgptbGSf2NquA83IBV4AOgGJADXVbGvW5RSq5VSqw8dOlTDjxdCiAtHt7hguscFM/2HnRQWO24MQLXBX2s9SGudXMm/ecABpVQkgO1nZbn8fcBarfVOrXUxMBfoUsW+pmutU7TWKWFhYed/VEII0YjdPqAFGTn5zF2b7rAy1DXtMx+YbHs8GZhXyTargCZKqbJofjGQVsf9CiHEBatfqzDaRgbwnx93obV2SBnqGvyfBgYrpbYBg23PUUqlKKVmAmitSzApnyVKqQ2AAmbUcb9CCHHBUkoxuWdztuw/xqo/zuod3yDqFPy11oe11gO11om2n0dsr6/WWt9UbrtFWusOWuv2WuvrtNaFdS24EEJcyMZ0iibAy413fv7DIfuXuX2EEMIBvD2sjEuJ5auN+zmYm9/g+5fgL4QQDnJNj+YUl2o+WLm3wfctwV8IIRwkPtSXvq3CmLVyd4NP/SzBXwghHGhSj+YcyC1gcdqBBt2vBH8hhHCgAW2aEh3kzayVDTviV4K/EEI4kNWiGN0pip92HOboiYbrCCnBXwghHGxEciQlpZpFDZj6keAvhBAOlhwdQGywNws3ZjbYPiX4CyGEgymlGJEcyY/bs8jJK2qQfUrwF0KIRmB4+0iKSjSLNzdM6keCvxBCNAIdYwKJCvRi4YaGSf1I8BdCiEZAKcXw9pEs25ZFbr79Uz8S/IUQopEY0T6CwpJSvt1s/2XOJfgLIUQj0Tm2CREBDZP6cbP7HoQQQtSIxaK4tmdz8gqL7b4vCf5CCNGI3DGgZYPsR9I+QgjhgiT4CyGEC5LgL4QQLkiCvxBCuCAJ/kII4YIk+AshhAuS4C+EEC5Igr8QQrggpbV2dBkqpZQ6BOyuw0eEAln1VJwLhSseM7jmcbviMYNrHndtj7m51jqsuo0abfCvK6XUaq11iqPL0ZBc8ZjBNY/bFY8ZXPO47XXMkvYRQggXJMFfCCFckDMH/+mOLoADuOIxg2setyseM7jmcdvlmJ025y+EEKJqzlzzF0IIUQWnC/5KqWFKqa1Kqe1KqamOLo+9KKVilVLfKaU2K6U2KaXutr0erJRapJTaZvvZxNFlrW9KKatSaq1S6gvb83il1ArbMc9WSnk4uoz1TSkVpJT6RCm1xXbOezr7uVZK3Wv7bm9USn2glPJyxnOtlPqPUuqgUmpjudcqPbfKeMUW39Yrpbqc736dKvgrpazAa8BwoB0wUSnVzrGlspti4H6tdVugB3CH7VinAku01onAEttzZ3M3sLnc82eAabZjPgrc6JBS2dfLwFda6zZAR8zxO+25VkpFA3cBKVrrZMAKXIlznuv/AcPOeK2qczscSLT9uwV4/Xx36lTBH+gObNda79RaFwIfAmMcXCa70Fpnaq1/tT0+hgkG0Zjjfdu22dvAWMeU0D6UUjHASGCm7bkCLgY+sW3ijMccAPQF3gLQWhdqrbNx8nONWWnQWynlBvgAmTjhudZa/wAcOePlqs7tGOAdbfwCBCmlIs9nv84W/KOBveWe77O95tSUUnFAZ2AFEK61zgRzgQCaOq5kdvESMAUotT0PAbK11mWLnjrjOU8ADgH/taW7ZiqlfHHic621TgeeB/Zggn4OsAbnP9dlqjq39RbjnC34q0pec+ruTEopP+BT4B6tda6jy2NPSqlLgINa6zXlX65kU2c7525AF+B1rXVn4AROlOKpjC3HPQaIB6IAX0zK40zOdq6rU2/fd2cL/vuA2HLPY4AMB5XF7pRS7pjA/77W+jPbywfKbgNtPw86qnx20BsYrZT6A5PSuxhzJxBkSw2Ac57zfcA+rfUK2/NPMBcDZz7Xg4BdWutDWusi4DOgF85/rstUdW7rLcY5W/BfBSTaegR4YBqI5ju4THZhy3W/BWzWWr9Y7q35wGTb48nAvIYum71orf9Pax2jtY7DnNtvtdZXA98BV9g2c6pjBtBa7wf2KqVa214aCKThxOcak+7poZTysX3Xy47Zqc91OVWd2/nAJFuvnx5ATll6qNa01k71DxgB/A7sAB52dHnseJx9MLd764HfbP9GYHLgS4Bttp/Bji6rnY6/P/CF7XECsBLYDnwMeDq6fHY43k7Aatv5ngs0cfZzDTwGbAE2Au8Cns54roEPMO0aRZia/Y1VnVtM2uc1W3zbgOkNdV77lRG+Qgjhgpwt7SOEEKIGJPgLIYQLkuAvhBAuSIK/EEK4IAn+QgjhgiT4CyGEC5LgL4QQLkiCvxBCuKD/B8QyFfcGo1QKAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "prinfunc=vecs10.T.dot(renfunc[:10])\n", "[pl.plot(p) for p in prinfunc[:4]]" ] }, { "cell_type": "code", "execution_count": 240, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1., 1., 1., 1., 1., 1., 1., 1., 1., 1.])" ] }, "execution_count": 240, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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EPbDrk96fz9ccKWWM5e/pYeuvF4b498C0/GmkW9N5e8/bKFKJE3+LyUKOIycFn3/Pbh8pJU1PPoV/+/b+OfEwNa0+nl6xl8aOQ9pO6WuNb7MW7NXTPHU0t0/89xrYsQPvunW4lyxNvDN3I+z8CGZeBIddAF88Ch2dOp407oSsMq2Cty9MOh2lXROq4Jp3targ47rMsRRlxoVaK4kd70PADc9dqgWYr3gPhs+FUQvBlgFb3+zb+XyNUVpaIKg9FAebz99yqE/gq47FZGFO8Rw+qdCsnljx11/36POPuH2SW/7NTz5J7e13kHPRRRT/7uYDPGuNhg4/Fz60nN0Nbn7/WjlnTC/hzJml+IIq9e0+/CGVS+ePxG5JXOtgoOHfsgVMJuwTJsQtTxTw1V18SR/imxeDVLTCLFua1rZh2T+1QKxO0874NM/eMmERakDbX7C2CY67CVy5ybcfdyK48rWOoRtegIatcMlLkBOecM9i17bZ9rbWXK6z62gQozRE7+3BZvkb4p8C80rm8dF+bYavAld8q+kCZ0GPPn/dOlSSZPt41qyh9i6ty3WwqktD1JRYsr2BFbsbuWTeSIoyHbT7glz2yEqqW73844KZfLG3mRe/qOCltfE+5jZvkBtOmdinYw4VfOWbsY0ZjckRb4lrln98Px3dxeffsSPxzja9BHnjoHg6CKE9BFb+G476n6hAN+6Eaef0/YQzilBkOhAk4LHD7Mu7395shennwYr7tNcn3Axjj4/fZuLpUP4KVK2FsiP6fm5fM2ILuwZbqqch/ikwv3R+5O98R7zln+fMY2frzm7f313AN9TQQOV1/4O1tBRrUVGP4t/kDqBKSX56tEZh/f4WrnxiFb6gygOf7OL8OWVsr+1ga007D102m+MnFnLWzGH84rRJrNvXQrbLSmGmnT+/uYV/fbyT06aVMKU0s5ujDm18W7bgmj27y3Jhs0ZGdTr6nL4JLf+OOtizBI6+URN+0P7e8F/4/G6tS6enCXwtfQv2xqAoNiCI4pWo/gAmVw+3+swLNfGfsAgW3tB1/fiTQZg118+QFf/BZfkPnfHbATAqcxTFacVANLdfR3f7yGR50kSLvDq7faSUVN74c5T2dsruuRv7xIndin9Fs4dF//iU4/7yMS+vrYgsu+Lx1eSn23n5Rws494gynlu1n5V7mvjb+TM4fmJh5P3pdgsLx+czbVgWhRkObj5jCtkuK7988UtCijERfSJCzc2Eamoilb2xmGxdUz0jab1NTYQaO40Iy1/VgryxVn3hJDjsO7DsXs3i13v69CXNMwbFp2DJ0yrRg5UptHsumQFXfgjnPZrYrePKhZELYGvCSfgGLXqw15SWNujcPob4p4AQgoXDFpJjz8FldcWtK3AWEFJD3Wb8qDF5/rEPCaWlBc/y5eT94EocEydiLS1F7ehAaWvrso/GDj/ffXgl3oDChKJ0rn9uPT/9z1ouf2wVgZDCY9+fw6wROdxxznQ+/cXxvHTNAs6a2d1smpCTZuP3Z05jQ2UrDy/Z3ZuvZMjgTxLshcQBXzVmJODf3sn1s/FFKJgMhZ0eJCf/ASwOePPnB5bmqZ9DIID0+nAcNguAwP5uMo9iKTsivmNoZyYugrpN0Lynz+f2dSNUV49wOrHk5yMHWcDXEP8Uuf6I63nstMe6LJ9TPAeAj/d/nPS9EddAKBQZBUA4kwCwDdcmQrOWlgJdLTW3P8Tlj62issXLw9+bw/NXz+dnJ0/gjQ3V7Kp3c/+lRzCuMCOyfUmWk1kjclL6XKdPL+aUKUX87b1tnHHPZ5z090846e+f8NKaFAVjkOPduAkA+6QE4m+zofoTW/4Q4/dvrYQXLod9y2D6t7seJKMIjr8Jdn4Ay+8DYepbmmcYNdyDxjF1KhDO9e8PJi7S/l/6D6jflrwqeBARamjAUlCASHMZlv9QJdOWyZjsrhkYE3ImMCZrDG/veTvpe9UYQVBj0j118Tdna8Nz67Cw+Me4flRVcu0za9hY1cY/LzqcOaNysZhN/OTE8Sy+9iievWoeC8bGxyF6gxCCP549jdOmFlOU4WBCUTpOq5kbnl/PrYs3ERzC7iCpqrS+/DKOadOw5HbNlhH2rnn+elqvKTMT//ZtsOT/4J+zYfPrcOwvYcFPEh9szg+0Wbmq10HW8J77+HSDPnK0jR6FcLkIVOzv877iyB0D406C1Y/AvXPgL2NhxYP9s++vKKH6eiz5+ZicLiPgaxCPEILTRp3Gfevvo85TR6GrsMs2sUFBpb0DS3hy+i7iH7H8o+L/8JLdfLS1ntvOmsrJU4ri9ju1NKtfPkNhhoO7L5wVeR1SVO54awsPL9lNeVUb/3PyeGYNz8FpG1opoe7PPiOwezelf7kr4XqT3Y7slOopfX6wWrFPGI9/w2oQS7Qg6qI/d2/Nmy1w+l/h0dMOLM0TIt0nzVnZ2IYN07pS9hcXvwCNO7RRzLJ/aUHiI6/qv/1/xQg1NGAfPx7V7U7ojv06Y1j+/cCpo09FInlv73sJ18cKRGxzN6VFv0k1ETfn5iIcjojlv7Gylbve2cIpU4q4dN7IgTr9LljMJm4+Ywr/uGAmGypbueihFRz2+3c4977PWbl76MxJ0PT441gKC8k89dSE64XV1kX8VZ8Pk92Offx4/Lv2Ip35cP7jqblxRs6HRXfB/B8f0HlHxT8T6/DhBPf3k+UPWpZS/ng4/Ltw+KVaNfIgnj84VF+PpaAAk8tl9PYx6MqYrDFMyJnA27sTu35CPg+KVbOalZiMH6U13vIHsJaUEKyqwu0P8dP/rCUvzc6d5x6G0FMDDyJnzRzGit+cyKPfm8MVC8dQ0+rjB0+sZl/j4PJ9JsK3bRvuz5eRc9FFkd79nRF2O2qwU56/z4dwOLAPy0P1KYTGnacVSaXKkVdraZUHQFT8s7CWDSNQWdltNlqfGXW09v+eJf2/70OA6nYT2Lcv+trnQ21vD7t9nEbA1yAxi0YvYl39Oqo7qrusa26to8mpAPG5/kpLC9Jk4i9LKjn/gWVM/t3brPLaKF+3lfPuX8buRjd//84MctL67v89UDIdVo6fVMivFk3imR8ciZSSq55cjScQOmTndCBc9+F13LHijh63a3riCYTDQfZ3zk+6jbDZIBhEqtG4iOr3YXI4sIe2AOBPP/LAT7qXqGH3hDkzE1tZGdLjQWkegGkbi6Zp8wfs+bT/930IaLj/AXafc24kjqOneVoKCjAZAV+DZJw6SnMNvLPnnS7rOjoaaU3T/o51+1TsraHN4uTfS/fgD6lcMGcEaSPKyO1oIqio/PYbUw4omNvfjMxL4+4LZ7G1tp1fvbhhYKzJAWZDwwZW1qwEoPW112h58cUu24QaG2lb/BpZZ52FJSd51pSwd53NS/r8CLsNe52WD++vOvizPyktrSAEpowMrGVaJlm/un50TCat788gsfy9GzegdnTg26rNXRCq09K3LQX5CKdz0AV8+0X8hRCnCSG2CiF2CCG6dJASQhwjhFgjhAgJIRLkun39GZ4xnKl5U7tk/Wxt2or0+2lJ09w2+mxeLZ4AG8r34XOms+6WU3j1x0dx65lTmb9gGmmedt65Zi5XLBzdp3Npfv55dp1zAO0BuuG4iYXceMpEFq+v4qnlewfkGP1NxU9+StPjjxNSQzT6GtnXtg9FVWh69DHq/3F3l4dYy39fQAYC5H730iR71DCFJ3GPi+n4fZikD4vagDk7A/8OrdJX9fmouf325G0f+hGlrQ1TRgbCbMZaptV6dNtl9EAYtVDL+28ZgIdLH5CBAFJR+vRe/9ZtAHjXaXMbhBp08dd8/tLv7/O+v4ocsPgLIczAvcAiYApwoRCic+/YfcD3gGcYBHQsXcr+H/04brgPmutnU+Mmvqz/MrLslR2vYAuCkq2Z/mp7O1JKfvPyRuyedgrLCkm3R5OuIhk/1V3dR6nSungx/vLNyE7+6P7iR8eN5ahxefz9vW10+L/a7h+pqnR8/DEdS5fS5GtClSoBNUCVu4pgVRWhujpCnb7rjiWf4Zg+HfvY7gut9FhAbHM36fUh/A2QOwb7xCn4t+9ASknNLbfS/MSTtL+XOCmgP1HaWiNJBLayMgCCqRZ69ZavmN9/93cuoOH++3v9vlBDA0qTlszgXbdOWxZu7aCnesLg6u/TH5b/XGCHlHKXlDIAPAucFbuBlHKPlPJLYFAkjXtWrqLjww+1WZJiOGf8OZSklfDrz36NJ+ghoAR4bddruFQLrow8fHYTSkc7L6+t5I0N1YyxK2QUxrt1EqV79galoyNiuQzUhSqE4OenTqLZE+SRg1AZLKVkU8OmPrmZQvUNyGCQYGUVdZ5o6+TdNVsiqbaetWsjy1W/H9/6L3HNmdN1Z3uXwX8ugoDm+xW2sOUf09xNba7GFGqD2VdgnzCBwI4dND/1NK2vvgpAsKa215+htyitrZgztV5NJpcLc14ewcoBEv/CKdqcAF8R8Q/u29flvkwF3dVjzs/Hu163/BvAZMKcm4vJpVU+Dya/f3+I/zAgdsxXEV42aFHdWsqXr7w8bnmGLYM/LfwT+9v3c9equ/hw/4e0+luxhSBocuK2ST5Zs5tfv7SBOaNyyAl5IxaaTkT8+9jd07NyJYQ0a3wgL9SZw7M5eUoRD326ixZPH2az6gUralZwwRsXsKpmVa/fG6zS0hCDlZXUuaPCW70zOjrzrl0X+dv35ZfIYDBhIzdWPgBb34DVDwNRyz/S4mHjS8j6XYiMHJj9fezjxqF6PNTefjvpxx+PfdIkQjU1vf4MvUVtbYu7rmxlZQPn9jGZYORRX4mgr5QS1etF7eh9SqZ/m+aeyz77WwQrKgg1NBCqr8ecl4swmzG5NMtfDtA9FWpqihgjB4v+EP9EOYh9igQKIa4SQqwWQqyur+9+dqxDiS6qncUftHYPl0+7nBe3v8ifV/wFF7mIYIgtjeC2S6S7lXMOH8Y9Fx6O0tISl+YJYCksBLO5z+IfO4mI/pAaKH52ygQ6AiEe+HTXgB5nXZ0mzuvq1/WwZVf071H6fDTVaBahRVho2av5d03p6XhjLH/P6tUgBK4jDu+0Ix9se1f7e8n/gr89PuC74QV48UqkcGIadzTY0rCPHw+AbcQISu+6U0vjrT04lr8pK9ql1VpWNnBuH4DRx0DLPm1S+n5EaWlh76XfTflekIEAqGqfrnv/1q1YCgpIP15rZe398stIjj+AcIYt/wEaTVdefwNVv75pQPadjP4Q/wpgeMzrMqBPyiWlfFBKOVtKObugoKDnNxwikln+Oj+e+WOKHWNp9NXhq50BwBHjR+Kxw4w8wR3nHEahXROkzuIvLJaUWjsnw710KSLcd36gh6iTijP55mGlPLZ0D/XtAzdT2KZGrb/OxoaNvX5v7Pfo3r8LkzAxJX8K3gotnzvjpJPwbdkS+a48q1ZjHz++y4iMXR9B0A3H/0ab9WrF/dGAb/lb8NIPYMQ8VFsuwpUOgHPaVHIuvpiy+/6FOSMDS3HRQbH8lbY2zJnR87cOLyNYXY0MDVB8ZtRC7X/d9eNv12YEO0D8u3bhWbUK74bUfnd9jl21mxnzkh5r2zbsEybgmDIFLBa869aj1DdExF+3/AfqngrV1eFZs+agZtD1h/ivAsYLIUYLIWzABcDiftjvVxZd/P3lmxP+WKv2tLKn/Gxy1CN58bxrABg/bBgeuyDQpg3tIoU4ncQfNNdPX8Q/UFFBYO9e0o9eGD7PgfdPXn/yBAKKyv++v23AjlHeoD1k9YdAb4j9HgMVleQ78hmbNRZZXQcWCxmnngKKgnfDRmQwiGfdusQun82vgT1Lm3Rl4umw9B6EDM/T8MEdMGI+XPxfpD+AyaE9FITNRvHNv8U+RmvXYC0qRmlpGdCgoZRS8/l3cvugKAQH6sFTMBlcefDxn+EfM+COMnjgGAgdmDtQz6JKVXD177W3lr8MhfDv2IF94kRMDgeOSZPwrlsX6esDRAO+A1TopXq9qK2tBGOKzAaaAxZ/KWUIuBZ4B9gMPC+l3CSEuE0IcSaAEGKOEKICOA94QAjR+7v4K4R+MSqtrYQ6ifSeBjfXPLWGkVmjeP3C+xjp1PLEszIL8NqjRV6d+/rEYh3WN/F3L/0cgIyTT452rZrGAAAgAElEQVQ7z4FkdH4a318wimdW7OP98v53adR76qnz1jEsfRh1njrqPb1zBwarqrCOGAGArK6jwFXA6KzRpDd5MRcV4jpcc+94167Ft3kz0uOheVIJr+96PboTJahNYjLxNK3h2vE3gb8VsfSv2n5zJ8NFz4MtDdXnQ9gTz71rKdZ6M4UG0PUjPR4IhTDHun3CcaTOWU39hsmktXuw2LR5AWZfofX/WfvkAe1WjYh/amKuT6TTW/EP7NuHDASwT9DcdM4ZM/Bu3EioqSlq+afp2T4Dc0/pD65URzn9Qb/k+Usp35RSTpBSjpVS/im87HdSysXhv1dJKcuklGlSyjwp5dT+OO6hQnW7IxeFN8b10+oNcsXjqzAJePiy2WQ6rJEWzulpOficZkTYGleak4u/pbSUUG1tr1M13UuXYikpibTyPViZCT8/bSJTSzP5+QvrqWn19fyGXlDeqH2/356glYf01vUTqqrGPn48pqwsrHXNFLgKGJU5ivxWSbAwG3NWFrZxY/GuXYtn1WoAnrCu5rZlt0VHdXuXgrcZJp+pvS6eDlO+haj5AgC58BdgT0dKGW7vkLidg7VYmxCoLxk/nrVraf/oox63i23toGOJHHcAXU4n3Qo/+QLOfwK+8TcYPg8+/QsE+24py3C77NQt//C91Uvx94czfRwTtelMnTNnaA9RRcGSHxZ/58Bm+0TiiBs2DMj+E2FU+PYB1ePBOWsWmM0Rv78noPXc39fk4b5LjmBkXjivP2y9mBxOTOnpmMOZMRHLPyex2wdVJVhb12VdMmQohHv5ctKOWoApLXzsg9SIym4xc/eFs/AFVa5/bh2K2n9+y/LGcgSCs8edjVmY2diYuvhLKTXLv7QU67BS0ho6KHIVMTprNAVt0J6rWeiuWbPwrluHZ+VKrCNHsiywBW/IS3swXI29+TWwumDsCdGdn/onTHMu046jareRXulrciSeEMVSpFv+vRfhhvvuo/L6GyItB5Khd540ZcZY/uHjDqj4xyBDIdSFv4T2alj17z7vp65ZC1JX1XU/TWrkuGHrWXo8vSrG8m3bBmYztnBdh3PmzMi6iOUfFn85AC47GQhA2NDzbvyaWf5DDdXtxpyXi33MGHzl5fhDClc/+QVr9zVz9wWzmDcmOtWjbvmbHHZsGVlYQipqINC92yeS7pl6t0Tfxo2obW2kH3XUgAenEjG2IJ3fnzWVZbsauf+T1G7WVNjUuInRWaPJc+YxNnssmxpS9xiqbW2objfW0lIspSVkNwcpcBZQai8kpx3qw/ronDkLpbWVjqVLYeZkGn3a9It1TTtBVbVe/ONOAlvMLG5ZZYhjrwOioh/7WyciKsK9t/zV1jakz0fjo492u120U2z0ujKlpWHKzCR0EGoMAOr++lf23faI9rD87O/g61sr5LoWTfwbm1K7D3S3D/Tu2vdv3YZt9ChM4dRda1kZ5vD8DZaCsM9/AO8p3eUjrFZ85eUDF5jvhCH+fUB1u2lUzHhGjaNjYznX/Wcdn21v4M5zD2PR9JL4bcO9/IXdgSNbu6DU9vao+HfOKqFvuf4dS5dqKYrz5g34EDUZ5x1RxqJpxdz9wXYqW/rHQtrUuImpeZoba1r+NDY1pl7spX9/1pISAoU5FLRCobMA6hsxARXp2m/jnBWeyyAUomJc9PeofeoseO4S6KiJunxi6FzhG/tbJ8LkcmHKyuqT5a93g21+5j+EmpK31Vbaou2cY7EWFR00yz9YVUVg92444bfgbdJmJ+sDbR3aQ9jT1tjDlhqx/vje+P3927bhmDAx8loIgXOGlqXXJdWzDwHfl7e/zPr69UnX6+LvnDED6fXi3zmwqdM6hvj3kiVbapB+P09/2cBDNTZEYwMrvtjGLd+cwnmzh3fZXi8AMjnsuLI1K8LX2oTS2opwODA5ugpFX8Q/sGcv1mHDsOTkIKxWhM2WckGK0t5O5c9u7DrheC8RQvDbM7TOHn9+a8sB7QugzlNHg7eBqfma+E/Nm0qLv4XKjtQswYj4DyvFk5+GIwiFQWekenq7XRNK2+hRkYfw2mI/IvxsqRsxB3Z+CBYnTDily/6FPb7CV5/CMZnPH3QR7r0FrrS14Zx9hFav8OhjybdL4PMHsJQUH5Q0U9DmEFba2pClh8OkM+Dzu/vU87+jQ3vI+TpSa44XO0VqqumeSoebYEUF9gkT4panzZ+HKS0tKv4mk9bcrZcGlTvo5nef/47L3rqMB798EEXt6o7SHyiuuXMB8G08OH5/Q/xTpKrFy3XPruXqB7Vc5tPmjObbF5wIwKMLM/n+UYmbsOnT+gmHg4xcLfDWULcvYYGXjslux5yf32Uu3+5QGhux5EXdTdrkE6ldqJ7Vq2l74w3cn3+e8vGSMSzbydXHjuW19VWs2nNgE7/oLp4pedoDRX8IpOr310XeWlpKS45mpee3qJGHQrm1jpAa0iy9ObOxDhvGMmUrM8MiXjvxZPjZZvjR5+DoOkLT3QSRlESv7vZJbPlD30VYbWvDNXMmmYtOo/nppwkladEc2845FmtR8UEpMIOwGywU0lKNT/kjqAq8eWOv5/z1ejTRV1IU8lirPFXL379dS1G2T4wX/5yLL2bsO2/H/ZYmp7PX2T4NXi1GU5ZRxj1r7+Gq966i0RtvZOn3qWPKZK3o8CAFfQ3x7wYpJUt3NHD1k6s5+q6PeGtDDT+ep1nlh00oZcGp8wEoq0+emysjrgA7ublak63Ghu7FH7Sq0OC+1DslhpqaMHcW/xRvAF0MA3u7fg7P6tW9tnZ+eOwYijMd3PZaOWqC4G+tuzalVg2bGjdhEiYm5mhD8gnZE7CarCn7/YNVVQiHA3NuLvVh7c5s9EU+b226EhlFlNxyCwUP3su21p3M9vnJtaZT66nV+tYkmVaxc3uHqOWfXPz7IsKq348MBDBlZJJ/zTWoHg9NTzyRcFulpRWsVoTLFbfcUlyE0tDQZc7hgUAfCamtLZA7Go7/tZYqu/k1bQNVgXd+A/ccAf7kwu51hx9kvgAtvp5bH6i+Poh/uJOno5PlL8zmSI6/jsnp7HXAVxf/m+bexG0LbmNN7Roe3/R43DYy/EAxuVw4pk3Dd5DSPQ3xT0B9u5/7P9nJCX/7hIv/vYKVu5v4wdFj+OBnx3LFEVrQzpyWhjk9HdvIkUkrfSEqCCaHg7wCLd+8uakqJfEP9KLgQ7P8o5OMm9LSUhbtiPjviy/PD9bVsffS79LyyispnweAy2bhV4smsaGylRfWdG0r8Nimx7j2g2t73E95YzljssbgsmpCZjVbmZQ7KWmxl3vZsriZ0oJVVVhLShBCUJmhCZK1voVgVRUyL5uQRbBnnzaSsxQUsC2tDQWVmT4/hWklcY3gEmKxgMmEGhbUyOTt3Vn+xUUojY2R96RC1JrPwD5+POnHH0/rK68m3Far7s3sMvNbJM20LvUMsr6iP2B0FxTzfqylx775c2irgmcvhmX/1GoBqtYk3Y/fo/2WjiDsadvT83FjhDnV0YJ/2zZM6elYwq7W7ujNaFpHt/LzXfmcPf5sStNLqfHEj/x0n7/J5cI5fRq+bdt6dX30FUP8Y1BUya2LNzH/jg/481tbKEi387fzZrDs1yfyq0WTGJ4b/fF1y8oxdQq+8s1J96nGWP4FYfFvb67pWfxHjiBUW5tSNahUVULNzZhzO1v+vRT/Tt0QAzt2gJQoDd3HAtzLluHbGl/he9bMUg4fkc2tizexdEd8emKDtwFPyINfSd4SQkrJpsZNEZePztS8qZQ3lqPK+AaxSlsb+664koZ7/xX3ufT4SRUteBwmQpVVBCv2YkvT3r976V8i7gg9KDfDVUZhes/iL4TQYivhfHTd/aPHAjqzak8TSp7mQw71QoT1B5opQ3Pl2CdMIFRX16WlONCluldHz/U/GH5//XuIiL/ZAt+8G9x1mrW//R044WZtXUXiEaBf8aP4tWvfEYDdrT13j413+6R27Qf27cM2alRK06QKlzPlgK9/xw5Uny9i+ec5tHszx5FDky/eHRrRFKcLx7TpEAzi33LgMbOeGFri/9EdWgAvAf6QwrXPrOGxz/dw/pzhfPCzY3n+h/M594gyHOH5dyE6nDSHc+ntkycTrKyM5Fd3JmL52+04sjTL3NPSEBb/rjepjl6VGkhhBia1rQ1CoU6Wf+pWii7+wU5uHz3rINln06m+9Vbq7vxz3DIhBPdfegTDc1x8/9FVvBdT/dvs1/zVbf7k+6311NLka4pk+uhMzZ+KO+hmT+ueuOWBvftAVWn/4ININlCs+Nd76mnLcxDcvp7gltU4qSVXmtgdbIV6rchnfd06RoVUsoYdQZGriFp3z+4ZYbdHLN3uLP9Hl+7mvPuXcdcX2mfvjQjHWv6g9ZdHURJOzai2tXbx98OBFZj1lqjlH/P7DjscjroOTBatGvqYGyF3LFR8kXAfte5arOGMx5TFvw8B3+D+/ViHl6W0baqWf2D/fnadeRZ7L/0ubTX7MAsz2XbN0Mtx5NDsi//d9AeKyeXEOX0acHDy/YeO+Pvb4ZM74c1faLnbMbj9Ia54bDVvbazh5jOmcPvZ0xlbkJ5wN7r465a/flMly5SJDfia0rV9+lq0bJ/u3T4jAVLq9aGn/plzouIvejFEDVZVgRAoLS1Raw0I7NbFv/tsC9XtwbtufZf85MIMB89dPY/JJRn88KkveH71fqSUkYu/1Z98v1uaNMuns+V/eOHhCAQPb3w4/jPs3xf+fz/+bdtxtzehNDVhHaaJf52nDl9+BoHtGwl1CKzzz2NcwXSWOB3Ub3wOKSXr69Yxw+uB0sMpdBXS7G8moHQ//DbZbBFLV8826ZzquXh9Fbe9Xs7skTms82pxgtZ9vQjmRyz/sPiHM1BCCTrfKi1JLP8i3fIfoBYPMXRx++iceAv8fEd0gvqy2VC5OmEguNpdHRF/V9CUmvh7PZjD026m4vOXikKgqgpbWdcsvUSYnK6URuLuJUtAVfFv3coRN7/A5PZMZGsbDQ89xMV/WMmEZfG/vRrj87eUlGDOzT0ofv+hI/7VXwISGrez/N1nOedfSzn8D+8x7ZZ3mPH7d1m2q5G/nTejx6kTdUHVLX/9RkvWi1v6/FoAzmxGWCwE7WYs9c2gqpizspPmrNtGaBdkoiBsZ5TwgyfO8k9R/FW/H6W+AfvkSdrxYoLMuuWvtnZv+UuvF9Xjwb+ta3O3bJeNp648ktkjc/jFC19y7n2fU+vWzrc1kFz8672asJWkxddNjMgcwVWHXcXinYt5efvLkeX6eUshePHhX3Dew1pr3ojl761HybUTaAGpgmXiLK4/8le0m61cvfdlyhvLaQ60MtPvh2GHU+TSYjs9un5stkjAV01Q5LVkewM/e34dc0bl8tSVR3LL5ccB8OTiVTR0pNYJVemUwWMp7Eb829ri2jnrmNPTMGVkHBTLXw0mEX8hwBLjEiubAx210Np1dFvtrsYWFn97QGV3a8+579Lr0+IdViuqu2fLP1RbC8Fgv1v+HUuXYh02jJFPP43JH+AXDzWy47jjqf/b38msaWPY7o64+17fp8npRAiBY/q0buOI/cWgFv+9jW6ufHwVFzy4jJfeeAOAZjJRlv6TFk+Q06cX8505w/nBMWN46oojOfeIni+Czpa/br0nFf+AP9L6F0Bx2Umv1/bRYPVx0gsn8dbut7q8z5yVhTk7O6Wgb6gxbPn3IdVTb/aVNk/LXIoN+vp3aZW63bl9pJQR0fOsWZtwmwyHlaevPJI7zpnO/mYPLX7tu1q6a3/SVhB6dke2o+vo6JoZ1zC3eC63r7id7c3bUVSF3eXLaMuwsL1EkrtqB+O82kPZUlKCO+jGHXRjcvrRp5+wlpYyLX8a/yg9hT0ixFXvXgnAjIACxdMj4l/riYplW6CNT/Z/Encuwm6PBOcimV3hgqDPd2qZYmML0nnou7NxWM0cO2sUqisNGuo44a8f8/CS3QQVbSTqCYT4bHs9Ty3fy/+9v42bX9nI2xurUcOWf0T8I5Z/11YPms8/8YjSWlzUpwKz3qJn+yitPWToDDtC+79idZdVseIvpNbqoadRmOr1IlwuLdkhBcs/EJ7jwDY8Vcu/51RPGQziWb6CtKOOwjl9Gg9dO5b64RlknXkmoxe/iq8kF4dfpS0Qvaek1wtCRLLESm77A6OeezalczoQLD1v8vVk8foqbnppAyYB44sySGvaSK3M4b3Mc7ik/WHevygHU+n0Xu9XDyRFLH9d/DtbOfr2Pn986p/LSX6Lto9/7X6SuhFtLKtaxqLRi7q81zpyREpT0oWawpZ/bqzln1q2j+7vTztyLk2PPBI5ntLWhhIWl259/sEghPuoeNesgUsuTriZxWziwrkjOGlKJie8qG1/98fref7TTL47fySXLRiF3RKNrTT7m3FanNjNXYOnZpOZO4+5k28v/jbXfXQdVpOVS7dsw5XnIOvYEyh6/F3O9x8GfMAOZxuZYevdIavR7R19RDD/8B9y57qnuLHIRDqCsTnjwOqk0FUIxFv+z2x+hnvX3csn3/mEXIf2XccHfKPxnde/rOKG59YzKt/F45fPJctpjezHUVrMN0vMbBiezR9eL+fp5XvJT7ezdn8zQSX6MLRZTLy4poI3C7SHu96vR09BDNXXI6UkoKjYLWakoqC2tyf0+YPm+jm4Pv8eirOKpoHFAZVfwLRz4lbVuGsokVZA25fVr7C/fT9js5PPqyx9XkwOB6a0tJSyfXRXoTUs/vWeena17uLIkiMTbm9yOZE9BHy9GzagdnSQdtRRAOxwtfPpL0/ilIW3ASDSXDj9zTT7msmyawaK6vEinE6EKXxtFhX2eO79waCz/L0BhV+/9CU//c9aJhSl8+Z1R/PiNQs4NaeGoonzuORHN4M1DdOKvpWcq2639pQOW3c9u318cZa/KSOD/LCWNtmDjM0aG/Fvd8Y2cmSX9MtEKE2aD133d4Jm+Uufr8cGV7r428aOxVJcHAn6BnZpw2xzfn63Pv9YH2jsXLjJ8KnRVMxvz8mjLMfJ7W9uYdE/PmP1s6+xbf4CamuaWL2vAhlKo82XuLNpvjOfu465i6qOKq0WwJ3FjJmnMv87Wr+dgnfXogh4p31lpA10pjX6ELOWhmcazR/Hya4R3CXzuL7Vg6lUs0aL0rq6ffQU01p3Le2+IOv2txA0W1DCI59QuMjr4ZVV/OQ/a5k5PJv/Xr2Aosz4GIC1qBhHSyNPXD6XR743G6fNjDeocPnC0Tx++VxW3HQi2/+0iPevP5aQIln+5V6EzRa5jkxOrUlg474qvnXvUk746yeEFDXqHkrg8wewlhQTjPH5twXauOyty9iVgkulN0QC4D24CyMtoBNk/FR3VONSow9MZwpBX9XjjXw3qWT7BPZXgMUSids9vulxrnn/GkJqfOwqpIbY2rQ1Ekfrrr2Ie8lSMJlIm3ckUkoafY3kO6P1Aub0dFwBGZfxo3o8kZYsB5NBJ/5NngBvbazhmuPG8tzV8ynLcWmFJA3boHSmVrQz6xJt2r32PlRaut2aby78lDZlZIDJlNzy98db/rbMbEzha+fGE3/PMcOPYUfLDoJqvMj9d9t/acyzEaquifSOSYbS1Ig5OxthiQ7kIo2oeghQBauqwGTCWlQUV1ug+/tds2Z2exPrLh/7+HGEqqsJ9tAzvskfveiH5UmevWo+j31/DkFF5c2n30RpbubiP7zEhpoq3F47Ty9P7vaaWzKXD8//kP+e8jSWxlZsI0ZgHzMG2+jRqE1NuHMcvFPxfsR1k5umuXxMWVmY09OiO5p8BqfuWcP5TfVaVgqQbk3HaXFS445eIxvrNT/sdS98zMzb3uNb9y5lXY2HFdsrmH7feTzwwWqCJjN/ensrp0wp4okr5pLligqYjj6jlxCCEyYV8cZPj+a1nyzk14smM/GFh7C+/hJWs4kReS4uXziayv11qGnRBARVlbjTs/ls+RY2VbVR2eJlfUVLNCsogc8fNMtfaWiMiPPOlp2sqVvD8qrlyX+wXiIVJTIS7NHyBxg2G6rXa3MmxFDtrsapRkeCqWT8qF7Ngk7V7RPcvx9raWnkvqnz1hFUg13mjHhj1xuc//r5+CwSpIwE+BPhXroU5/TpmLOyaAu0EVJD5Dmj7lhrRhYuP3EZP6rXG7lfAT6r+IzPqw682r4nBp34D8t28vGNx/HL0yZhNYc/Xu1GQGpWBsC8H4IagpUP9Xr/qscTaZkMWs8Pc1ZWt5a/PtcrQFpOdHrKqWPmMSlnEkE1yK6WqPXlC/m4fcXtfG7aBVIS7GHy7VBjfHUvEG3r3MNNEKyswlJYiLBawyONsOW/exfCasUxZQoyEIhLo4v7fOGHS9qCBQB41iQu2vGVl9P+wQdxlZp6ts9xEwt593+OZaFD29eFY11MHqalxz26dDeBUNd8dp1cRy5KuI2DbbiWHptxotZ62VpaSp2njnf3vANA0cRjMWVkRFw+ESadEf27VBN/IQRFriLqPHXsaXBz7XOf0uDTRgGKaOGaY8dy/yVHMLo0h0JnAFxbyE7/Eux2Hr98Lv+6+Ii4FOFYrEXFhBoaEs7X0P72O3R8GO3b/+Pjx5Ir/TRgQ0rJhopWzntgGdtCdkYKL2//z9GYBHyyrSEitqZkln9xEUgZCRTrArS/PfVK8p6IrSBOSfzLZkPIF75Hw/uQkhp3DXbFFMlwKjHl9Cz+Pt3yT0sp1TNQUaHNchZGt8ar3PE9tXa27kSVKm6rdh0mc6cqra14N2yIuHz0HP9Yy9+WmY3TH28Eqd6o5V/rruWmJTfxf1/8X5dalv5m0Ik/aBkmcVSFJ/4uCffpzh2jpZut/0+XtM+eUN3uuKc00K34q34fppjUP6s+t6oQmDMzmZSrZdlsbd4a2WZDwwZCaojKLO3cesr4URob4/z9EGP59zD8jc2Ft40cgdLYiNLRgX/nLmyjRkVcSUoS619/KDhnzkS4XHiTBH0bHnyI6ltujdxgVpM1LujltJkZGb5Zzh3lxKu0MbGwmLp2P4vXd9/gTs/0sY3UxD/9WO3my1OqsJusfFLxKS5VJW3quTgmTYqU8v/h9XIue2Ql77eUIjOHaf7nwsmR/eY5CvmiYg8n/v0T3t8ZfaidPSeDG0+dyGnTiikpyCLdpFm6NkXBa/EzfYQZsyl50ZClkwjrSClRmpvj0oYzHFamZJhoxMalD6/kzHuXsLfRzcjxIxht8jKuMINZI3L4ZFt95DeKnb837rhF8ZO66OK/r73/pg5MVfz9u3ZRe8cdWvM3iAZ967bQ8sb1+BQftpCMXH8jrUU9ir/U3T69sfxjgr0R8e+Iv94q27XUTK9FF//Eo2n38hWgqqQtTC7+zqxcnIF4y1+G3T6qVPnNkt/gV/zcecydmMTAyvOgFP8uVK+D9CLIjEkbnHEBtFXCns+Svk0NBFA64i+izpY/aEFfNcmFLn3+uC6PpnTNkjFnZiLMZkZmjsRhdsT5/dfUakKzO0O7yHry+3fu6wMx0871EPSNFf9IYdnevfh37cQ2ZkwkeJgscyNSmp6egfOww/CsTWz5h+rqUJqaaPZowjY8Y3hckZdUlEi8IdTQQIu/hQn5RUwqzuChT3d162fVvx/9RnaGvsSZ7ycrt5Wj29uQSAoVFSacRtl991F86y28tr6Kh5fs5ou9zVz55Bf8w/cN1hadyyc7W2js8PPhllrW71Gp99Vx4dzhXH2yZlCkW9MjaaigBXxVv59sezZH5c/Ba1a55v1r8IaSu9usJdp12Dn4qro9yGAQpdOELYUiAOkZLN/VyJULR/PhjccxZsIIQvUNSCk5ZnwBX1a00FavfbfJigetJZ3EP1xst6+t/8VfOBzdJgq0PPc8TY8/Qchv1+7NitWakfboIqq/fAoAS0hiCYt/mTmP3W27u70OVJ8P4XRgTk/v0fJXOjpQmpuxxaR56q0Yqt3xrkv9YeC2aA95vRdPQAnwVPlTdAS0Y7mXLsWUno5zupZIEqnujXH7WDI1t09TTHM31ePFlObi0Y2PsqJmBb+a+ytGZ3Wfct4fDBHxXx91+ehMPB3smbA+eUpVzS23su+yy+KWqW53QvEPpWj5mzI0360pfIOaTWYm5Exga1PU8l9bp1nPlaZWTJmZPRZ6dWv5dzObl1QUgrW1MZa/VlgW2LGD4P4K7GPHYApbkWqyCmY9t93pwHX4LPxbtnZ5YEI4J11V8dTXYDfbKU4rjrP8g1VVETdIoK6GjmAHOY4cfnD0GLbWtvPp9uQzWAX37ceUkcF/trSyp64VseJeRn1vLNn3rObUQi2AW2jPBns65vQ0agPwm5c3MGtENqt/exL/vGgWn2Z/i7N3foPLHlnJEX98n8sfW41d5GC1tXPbWVPZ17GdERkjGJE5Ii7902S3IQMBStJKyMFFTlYR5Y3lLKtalvR8k83opY8eQ01Nca0b1PZ2Zk4u49NfHM9vvjGFTIcVS2GBVl/hdnPsxAKkhG07NAs1abZPpMWDdv66C66ioyJhq+G+oIu/paAA6fEk7VHjXaeNxpWWFs3vv+N9ePybYEun2qo9aE1BJTKpSonIxh10xz14O6N6vZicLi3TrSd3Z9iVag0XeCmqEklB7mL5h5v/dVi0QLBuUK2pW8Odq+7kxk9vJKgEcS9ZgmvekQirFufRHyZ6awfQAr4mCW2t0c+her10mEP8c+0/OXnkyZw97uxuz72/GPziH/BA/Zaoy0fH6oQpZ8HmxRDoeqGobjdtb71FYM+eLst74/aR/kBcwNesW/4x1b0TcyeypWmLNuxXFdbVazdGi78V24jh3bp9ZDCo5XYnFf/kln+org5Coaj4hy3njk8/A1XFNnpMJHiYzIqLzELkcOKcdTioKr4v4yeukDEuDn9dDdn2bLJsWXEVvrHfs69Ws7xy7Dl8c0YpRZl2Hvo0eUZKYP9+2nKLuPnVTTzy75EQHuAAACAASURBVHugZS8c9VNw5XLMWY/iNNspHq4NxVVV8rPn1xNSJf/3nZk4rGbOOKyUl350FOtvOYVnfnAkN50+id+fOZVrj56NIhWafE2UN5YzJW8Kha7CuAwgYbMjAiGK0opQ/T5cadrvGhso7kyyVguRdg2KEucyUdrbceRkU5odzQiJrfKdPiyLHJeVyl1a8D6Z+JvT0zGlpRGsjbf8Q2qoS7OxvqLGiD+QcESsBgKRIialuVnz+3saIL0QLn+LmixtZCQCwYjbp0Bo900y148MBiEUwuTUKulVjydh7yMdvW2KXuDVGmiN+Nhjxd8T9ES+p3ZTOIspfM3rrpullUt58tGfEayqIj3s7wdo8DVgNVnJtEV/D1M4cO9pjRozqsdDuWcXec48bpl/S0p9hvqDwS/+tRu1ks7SmV3XzbgAAh2w5Y0uq9o//Ajp86G63XHZNkndPi2tWsfCN36mPXDCJEr11N+jMyl3Em2BNmrcNWxt3oo76GZ6/nRCMoQoK+220Evv6x5b3QtR8e9uQpfYyU7091gKCuj4THOF2ceOiaayJvP5624fpwPnzBkgRJdiL7WjIzJCUBoayXXkkmnPjLP8A7v3AFrKqb9OE8UsRxY2i4nvHzWaJTsa+Mbdn3HDc+t46NNdtHqiwVL37j2sU9KYUZbFt30vUWMpJTTuNABcVhe3zPkHUzMv5rlV+/jNKxv4fGcjvztjSmSeZZ0sp5UFY/O56pixXLZgFCUZmoW+rWkbVe4qJudNjgSBdYTNhjmoUOwqRvr8WJ1pWEyWuNFBZ0wZGQiHo0tzN6Ul6gfWXT9SStS2tkhfH51Y8TebBAvHFxDctQtrWVmk1XQiLCXFhKqjPn8RLnrrL9ePXuCl1yIk8vv7Nm2KjPJCTc0w40I48ofw/bcgq4zq9Dzsqgr+QGSO63ypieaGhsS97qPXoTNmDuturv1OBV5NXs3fbzFZ4tw+FR3RZIs2c/yE8rr4X2w/mhn3vId3ZBGZ34zO+Nbo1dI8Y8VcH/l7W2MDvl4a6ODYsmMjuf8Hg34RfyHEaUKIrUKIHUKIXyVYbxdCPBdev0IIMao/jpsSnYO9sYxYAFkjaH7sPlpeejluVdsb0QeCEjNtnub26WT5Z2dplsb6F7QJq7e+Gd2+U6qnOfzjWzpZ/qD1s9FdPieNPAmAQEkewcrKpH3Y9XOL7egJqVn+EfGPyX6xjRwZcfHYRo+OWJFqklx/GdPMzJyhtRz2drL8YwObsrGZbHs2mTZN/HVrK7BnD6aMDBwTJ6CGi8ty7JrV970Fo/jpCePIT7ezbFcjf3pzM4v+8Skrdzfh9foJVVXRlFXI4yeGOMy0k3u8p/GX93ZQXtXGD5/8gh8/2sJNz1fxyxc38J+V+/nWzFK+M6fnqs5il2ahf1zxMUDE8m/1t0Y6koYsArMiKUkvQfX5MDkcXR4QnRFCYMnNRWmK7wcVO3rUg77S70cGg3ETskN8oRfAsRMKKGquIlCmue4+r/yck184GU8w/vePnU+gxd/CmCxtroL+yviRnSz/ROLvXRe9PpTmZi0Wt+hOzfIHqu1Ohvs0N5Q5IxPMZhxBmJw7WauwlhI2vQKeeAEFbQRqCqfxduf3D+zfp6X8hr9XPdg7MWci1e7qSGwhdhTQYtKudT3g2+JvIatDcu6DW5F2G784o4Xtgej3qIt/LOZwf69gTAxNdbtpNwUoy0itzUR/ccDiL4QwA/cCi4ApwIVCiCmdNrsCaJZSjgP+F7jzQI+bMtXrwZUPmQn6dZtMcNj5NH++n5pbbyFQofn2lJYWOpYujfjAY+dMVT0eTK6ulj9ASM8IKY/2v5c+X1yvF1MCt8/47PEIBFuat/BF7ReUpJVEGpp5irNAVQkkmdUrlKCvD6Qo/vpMVyXRQLg1nDFjLS3VrKjwSCW55R9uZhY+nm3kyMh+I+dYFxV/c0sbOY4csuxZqFKlI6jdoIE9e7CNGqWJRlO4tUO4E6LDauaGUyby+OVzWfbrE3nlx0dhs5i44MFl/Oh/38KiKhx73Cyy194HrjxsR1zCA5/u4vS7P2PpzgZ+euJ4Xv/JQv6fvfMOc+ss0/7vFPU2kqaPx54Z97gksZ3eHJwCpBECIdQklNDLZilh9wM+lqXXhQ9IKGFpYUlY2DRISCc9seMed3s8tqePpJFm1KXz/fGec6QjaZprNvBcly/bM0dHR9LR/T7v/dzP/Tz1mQvZ+sVL+e5bTpnW1tro8n38wOOAAJ8GlwA1A9zHpSz2PDS7moSs1+Wk0d04aeYPonkuX2GVXe7SafzObNzyVYB/hbnbeZ0B2saG6dF3K08eepL+8f4q+snoMQABeAtCC7DL9qOX+ecqwb/6vklt2IDa0iLMBGs4k/ZLRdoygl+XnA7Tnnx1+2o2Dm0k8sRX4K7r4YFSnqmZnvilzP+BrX/iQV3mWxm5A1aZ50havN9L65eSKWTM/xt8f8gZIiqJ5zDqaPHECP/y3+Jzm33rrQz4Cxb7j+HUsIXvB0xzx9xYHE3TTHuUjE2III5nHI3M/3Rgt6ZpezVNywL/BVxVccxVgDG+5g/AGulYEVuFnBgW8dDn4aVfQ8+zgvKZ6OlOvo5iTkLL5hj81rcAiD/0EORyBN/xDnHKSBQ2/A7tTx/UaZ/KzF+AVLFH1yrvetisIxQzGSR7Ofh7LY8BQU3M8c9h+8h2Xhp4iRVNK0z7gFiD4HknKvqa3b2HmfkrwaClhmG4idrnijZ6SVGQfb6JLav16UmGjbGttZVcX59FlVGe+dtj4yb4Q8nWuRz85XQWZ0Yj6Cx1LJfHKe113Pex83jjillEdwsOeNlJYdj5AJz2Xj575am89fTZ/NNFC3jqM6/h5osXsLQtwKygG49DnTanGnKGUCSFvvE+2rxtBByBKsO3MSmDrEGLq9Es7k/HDloNhaoGsZdn/oURsfsp+fpYaR85EECy2016qC42hE0rsA5hFmiox/bHhvjOQzt5y23PciCSFD0GQ0NouRyxTIywM0y7r33amX/kl780acFaMb3MfwPuFStQ/H4L1WVEXy5Ba0Zk/rLTqftUjXNB+wVoaDy59ofgCsHmu2BE+E+V0z5Gdn335v/iU098ir92/7XqOSaSeS6tF5bKRsZ/MHEQl+qiw9/BCOI7bSw07o276ewt0PJvX6RxxVl0BjrZMlzqVxhODVuUPlD6/jvSBeLZuEgYNI20XfpfCf5tQPmdc1D/Wc1jNE3LA6NAmGMRyREY3gXP/gju+QhE9gg1wURRP5+i5kBSNBIPPEDyN18kfu892OfMMfW6hb0b4N6Poa39HWhaNedv8OIDPTDnHMinYNdDotsxl7NIPY0vcaWd86LQIp7te5aR9AgrGkvgPxwS3YcTFX0N6qAy85fsdt3dcGLVQ7nM0whDK+/oKknNFL9/QosHYwtsDDCxtbagJZNWCkMHfzkYxB3PEXQEzSLYaHaUYjpNrq8Pe8ccEzSCY6XMv1Z4HSrfevPJfP0s8brtCX3XdcrbsasyX33jMj5+0XyLp85MQ5EVGtzieoydWKXnTxyx82lSw6as16B9JpMlKvXhKklnPhoV95LNVpX55z1OC4UjSRJqfX2pkL57NwCPZbyc/pWHWT8grCg++Lun+P4ju1h/IMbH/ms9UpPoMUj29zKeEwtxu7992lr/4VtvI/r730/4exP8Gw3wtwohcn195AcGcJ1yCkowWDWLOFvIMpQeoQWR9Eh2h2lSuDibp6FQ5IlQC9z0GMg2eOq7QNkO1FnK/DPxGJIk8ZknP2NRX5lWzhUyT1mSWRwSfR5Go9ehsUO0eduoc9Qxwpj+XOKed3WLBd67ejUAy+qXsXl4synciGaiE9I+RpevkZylbfzvo30wbBKtUXnXT+cYJEm6SZKktZIkrR2qYVc7rfA1w0degH/th49tgHfdA2d/dNKHFIsqgQtXoHpl+r7/a5IvrMW/+jRzIHr+bz8FV5Ci7jVSq+ALUMhIonDlroeX77bw4UbY2ttpvOUz+F77Wss5FoYWmtrwFY0rqHPUISEx6EgjezwTFn3zIxFQ1SpOGKae5lUT/Ds6xN9zSwZacsA/ocVDMZ1GcjpNuwtVp5DyZTYP+aEhJIcDec4sAuNUZf7Z/T2gaSXaB2hOO7ArExcujaiLDSLZ7agH7hM1nOCcKR8zkzDA3gCFRo8V/EeLYnENKz69uC9on3QhbSloV4YaCpOPRi2KlEI0hhIKiV2BTucZ9Zf/3H8XH3nUOvpSaSiBf3aPyIBvuO4CTu3SKCDupdO6nDzyzxfw3WtPYX1PjHt6BZ0S3SumzwWdQWb7ZnMwcXDKjlKtUKAQi1XRepZjdPBXgqEq25Ox7Bi7nxS1NAP8C1Hr4mDQZY0OXfHjsIumrbEE8n+9nfNz8IxDJedvg5XXi0bNWE+ZJ34J/G3pPDctv4nOQCcff+zjZlZuWjnPsmb+QUeQNq/IW/vGxP3bO9ZLq7eVgCNApBAHm838TgUOxIiHRa0LxK5hJD1C33gf0UyUolacMPN3ZYTaylhIVI8Hj82KK8c6jgb4HwTK9yuzgMq7wzxGkiQVCACRimPQNO0nmqat0jRtVUNDQ+WvZxaKKoZHd10AjtqDWQC0fB4tnUFddA6Nn/sK2bgAeH/0duQDj4EiiaLqG39KseVMAGSn1YSpBP6y8IZZfAXsfJDimLjxy4d7SJJE+IYbzOYVI4xOX7/dT1ddF6qsihsuE8U2axa5iTj/iND416IypEmmeWmaVhP8HQsX0vrNbxK44orS6/MHJqV9LItbizhfrgL81YYG8kEfdeOCzinP/A2ZZzn4t2Ws1NpEkes5gK2lAWlkFyy/dlqPmUkYNI+R+ftsPpyK0wT/qCbAX84VzIXQMIWbTO6p1ochn7dKOvXRnmo4TH7EcFQVtM/O3CG2jWyz7CbUhoayzH8PtrY23rF6EdeeXfpaX7zUx9wGL5ctb+Gtp8/mOwdsaIpC7LHHAXji5SRheyvpQtriafPUoaeqJk4VYjFhNzLBvQgl8JcddhS/3yL1vH3L7Txw338gOZ04Fy1ECYUsYgqA/XHRsNfgFTtQWdGTmIFuGD3A6lUfYTyf5MWBF8VkMCR46nslzr9saJI7A12BLm676Db8dj/fWfcdoNzK2cr5h11hvHYvPruPQ2OH0DTNzPwDjgDxTFy3dRbP1dA7zmh76Xu8vH45IBRJ5uzeiszfWJhcWbHgGN9Pr9963PGIowH+LwLzJUnqlCTJDlwH3FNxzD2A0S31JuBRbbI98XGM8uHJ/iuuwHXKKTiXLMIxfxHSXe9CteXJ1y2Drgsozl4jjk1Zb36T9tG84G8T/QO5cbSdwqOlvOA7URjgv6JxhdnWHXKGiKQjqOFQzcJYrpAjNzxU1d1rxGSe/oVIBC2dNmWeRkiSROCKyy0ug4L2mbjgK5Uda5wv11sN/pk6F3XjQsVjyfwN8J/TgaKrWBpTU2f9oM9g9RZAscOSN0zrMTMJA/wXh0XmL0mSResf0V1KtUwGLZMx1T4w+SAY4zMrlFk5FKJRlGBQp4R02ich3vf92jBjuTFLb4QAf7FIZPbswT5XKHe2RbahSAqyJFsG5nz+8pNobW9kQ8N8hu57FDSNv2yM88IuXe6pUz/do9188OEP8ostv7Bcc/luxJguVhmGzl+y20X/S9mOcfPwZroO5lEXL0Sy2VCCdVX39e+3/56AI8D8oABSKTkg7uNoH7St5IyTb8ChOPjbwb9BYBac+nZY/2uKEbHQSmVST2dWgG+Du4Fz285lT0zsjnIHDY2/NfM3qNY2bxt9433Es3HGcmMm+KcL4l4vJpMU02kah/OkO5rMcywIiuL5luEtNa0dAGEi53LizghnT0OK7Q8cHxvn8jhi8Nc5/I8ADwLbgDs1TdsqSdK/SZJkiF5/DoQlSdoN3AxUyUFPVBicuOzxIMkys2//ObN/+Ru44X5YeSNKwEvBIbKQYuOp4tj+5y3nkNxuJAUKtkZRWO44V9BE28SQlsqxfrWi3lXPlXOv5JoF15g/CzlDjKSEY2ct8P/Sc19i1751Vd29Rkzm6V9L5jlRKIFJOH/dTMs8NhhEcjhqZv5Jnx1vGuokj5n5x7MC/NWGBhSvR3RLKxL1ydqmaOWhaRrZnh5s9ML8S4Rj61GON8x7AzevvNkEBsAC/iN5AW6FhOCDpTLwn0zxY1KKIxF2RncSSUfKMv/6MqAVIDsgiecp152rDQ0UYjGK6TTZvXtxzJ0HwI7IDjoDnfjtfsti4bIr/PBtK9i39EyaxxJ0DsCahV08ukXkYUbR97699wGwdsA6ZMUQF0Dp/qkMrQz85bqAubPRNI3dA9vo6ofcSWKRUoNB8rGYuZvZEdnB4wcf5+2L3449oAsOxvYja2No6SycfhMu1cUZLWfw+IHHxePO/Sco5inuELO5DUtnAHe2ZK2woNhAw+4RIj27yHbvB0Uxm+1A6PyNz7jF00LvWK+p9JnlnWXer5rLQTGVJL5jK7IGha7SAmJTbCwKL2LT0KYS+DurM3rF6zM5/+y4+HxDwam/h0c7jorOX9O0P2uatkDTtLmapn1Z/9nnNU27R/93WtO0N2uaNk/TtNM1TTu6BuJHEOYINV3xIrvdwu7X5oQrvoc69xSzKGW4Lsu9T1ksaKVCFsVeoCDpBUrFBosuQ9slVBHSNDJ/gC+f+2VWt682/29k/kpdsMo+QtM0njr0FLbRJEqoNuhNlvlnu61+OJOF7J+Y89eSVtpHkiRsLS0WcDDAP+4TgB4Y13CqThyKg9HMqKn0MR4f98kEx6beGBYiEbRUCrsjAcvfMuXxhxMLQwu5cemNlp8Z4K9pGkMF8bkYfRCy00G9ux4JaVrgnxse5IYHbuCnG3+iZ/51qPVhCiMjonCYiIPDTk4V2fnBRBn467uk1IaNaNksjnkCMLdFtrEotMikKspjfpOPz3zpJjRZ4sztRT503snkMz5kFHriPWiaZoL/tpFtliJzIVqiaCaifowmL8luF3ShDv4DyQFCPTHUIowtEECn1AUhlzMTsJ9t/hkem4e3LXobmk3sDOXEfuTEPop5BU4SO7sLZl3AobFDIpMPdkDDYrQhASmyy4Vst1NUZZxZzcy8l/zgr3zp1wUGLrmSkZ/+FFtLi2nDANbMv9XbagF/g/MHKDrtaMkUo1tFr4K6wDpcZln9MrZFtpnJQSXnD6Lo68upRNNRRqLiexIOVWpkjn28+jt8p4jyzL9WKMGQmfGYx+ZjsPfx0kGD21DsRQqFsgx/2bVoKf34Q89CwTogYjphgn8wSHF01DIg/eDYQYZSQ/jHNbL+2vz4ZOCf3rIZyeHA0dU15XUo/sCEts7CTMtaA7G1tpDr6zV/X0wkUBsaiOlvsWtUNEgF7AEz87d3ltRFUQ/4EzW8ZjQN1v8Gvrcc7nwX+RfvBkANOETmf5zCAP9IOkJKFp+JQYtJDic22UbYFZ4W7dN/aCeJbIJorB8tm0UNBlHCYbRcjmI8TjGeoOgpvb/lkkyjPjL+nFCyOObOJZKOMJgcFOBvD9Sck6wGg0SXzOLM7RpLm5u54uR2CtkQe6LdrB9cz6GxQ7yu83XktTybhjeZjzPGhQLkDk4E/pW0j3j+7ZHtLDgkFvShLgGypmNsNMq+0X082P0g1y28TvSAGOfpW4s83iPEFjbx/Tp/1vlISPxpt96Y2XoKxRFxPca9mHfa8GYVfDZRjLXvH2B9l0T/h64ifNNNNH76U+Y1p/IpkvmkCdQtnhaS+STbRkRRvM3XZoJ/waFQTCZJbnuZtA3cs63fn2X1y0jlUzzf9zwu1YXbVv3dlH0+fHmVkfQIIxFx3U2h2TXfz2MZ/wB/vXI/IfiHS0WpggH+Xq8YBmNE30YB/tkyqqLrAooXfhEA6fkfwI/PgtGJC2W1IuQKCcVIDX+dDYMbsOc0nDlIeGrr1icD/9TmLTgXL7ZkPxOF6e9TI/svVhR8QSh+8jrnbxQk1cZGht0CKDX9/fQ7/KQjQ8JdUc/8c4UcI54i7tEsjA1BXu9sTkXhrhvg7g+Dqw66nyL/R8EeqiedZwLD8YhGdyPZYpYdkR1k9YzceG+M+s5UWn+lrg5kmcGDYuh9Ts+qjYIvCI69kEiQ84j6hyqpFbSP4ImTzwka0j63NBVuUWgRfoffNCurjO6VLbREIb9rNx9aPY9CNsSmgb3ct/c+XKqLf175z8iSzLqBdeZjCpGIOWt2OrSPEgiYBd9tkW3M69MY8sOQW+wODOuGQjTKzzf/HIfi4J0nvVOcRx+NKSV7kVWNYrZgKqOaPc1cNe8q7th+hygQt5wianeKbN7PWYdCXcGOJEniexMbZVuHwoZzmmi8+Z/wX1JKFgyNv9GQZSh+Xux/EZ/dh9/uJ2AX4J9zqBRTKXK79nCgHuo8Vsp1Wb1w9Fw3sK6K7zdC8XrwZWWi6SjRmPietNR31Dz2WMY/wF/v1qs0azNCDYVMfx+jOCMveS1suxdiehbWtxHZqVAYs2bGmt4wIl/yOTFJbOMdM7o242ZM+8QNXc77rx9cT11KfHwjztq7ionAX8vnSb/8Ms5l05thPJnFg5YSXa3lYWttJT80RDGbLYF/QwMDDvGFNoqUfrsf5aDIjg3wj2ViRD3giCbgW/Pg3xvh24vg+ytg+31w0f+F9z0GN28nv+z94tyr3z+t13G0wpB/bhzeSE5f742aiFHfaXI3TUr7SLKMEgoR7xf3UFGn9ZRgsAT+w8MU43FSTlG8XRxeXDPzT23ejNrUhOLzWcA/4LCa55XHtqV+ihLEH3iAhc0+2r3tRLKHuHfPX2hSV/Hv9/TS5p5r2ouDUJYpdXXY2tomoX100LbZROYfj6MVi2wf2c7CAYV9rbKphDFqVYO9u7l/7/1cs+AaM/s25yErILcsEBO0ynaeH1/xceyynW+v/Ta0noKWl5AddlP1lnKAL68vBHqPTLGt9kwAw9fH5Py9Qma6ZXgLs7xCEWRk/lmbJBo99/TQ0yiZFiRGtPvaCTgC5LX8hOAve7xC6pmOmu6e9aHjq/GHvzPw73n3u4neeaflZ1PSPvoNWohESpn/az4Jkgx/eLfg/vs2Cs1yRTdjMS3oDemkS6H1VNj10Iyu17gZx13iY6oE/zMdQoHS76jtHT8R+Gf27EFLp3Etnx74G7bOtRQ/xXQa2WVdOA25Z35gwDQvUxsb6HOI9y+vNzcFHAFcfeI1GeAfzUSJeSXU8SyavwNW3wLz1kDnefCeh0SBT1ZAtZO3iS+MumCSJr5jEEZBd9PQJnL65EyjMCvrC2Eti4e1/WstHLoaDpMZFu+PZgxiCQZRwropmp75jzs0GlwNzPHPsXL+4ZAQGBQKOPS+jO2R7bR4Wgg4AoJWy9Su1fTZkvTM85N44EE0TeOSBUtBzpIujLFz93z+tnOIfQebeGlgAzm9vlWIRFFCIWxtrRODfy4LNptY3OoCoGkUEwl6Dm4lHMnTP9trWicYtM/OfevIa3muW3ideR7DTFHyhZEWC5+r8nu53lXP+5a/j8cOPMZzWopiQUYqTTFl3K7h1VdmY96DY3Z7bfBPW8G/1aPfv1qeVq/4twH+Gbuwg1YSSbobJeqc1kZESZLMLuFKawcjZK8Xp672GY/rC6H7+Gr84e8I/IvpNOPPPEtqo9V0rET7TJz5g+A7tWQSyeFAapwPV34fDr4AD30BBrag1jdTKFMuQFn24tA56YMvWsyopgrjZhx1ie2uUXiOZ+Psie3hZFsHAAdU6xc8ko6wbmAdsseDVsPaNr1ZOCM6ly6d1nVMRvtoqWrax9aqDys51Gv6+qgNDYzkRkl5beSH9YHqdj+BQ6Jxxj5LbLVj6RgxvS0jv+Q9Avyv+iFc+ytzvq4R+eFhZL/f4pp6PMLo+t00tMl00Czn/EEMgE9kEybY9471cuODN/KzzT8rnSgYQI2NIyEhj4qFUakTBV8Q/j7FeJy4vUCLp4VZvln0j/ebYCypqpmc2MvA35ANBxwBErlE1UByEItsz8o2st3dZHbs4Ix2Md0s6Aiz4dMf5m+fupBW52LyWpafv/A3cT16T4mtrW1S2qeoyvx444/NxsPY0EE8ewS9Ee2srwL/1MgAsiTT5isVPU3a5+b1KLNEj0Vlt/o7T3onbd42vr7+exTUALJSus8TagG3zhjmdClxKLOTg4mDVfOyTfB3ifeyzlGHSxW1A4MCcqtuVEklZSvtbnoaJYtdsxEG9VOr2AvC2dOeyhPNREmNRSko0qROrMcq/m7A3zCzKiasTn/TzvyjIvM36aGlb4RV74bnfgj5NHLzHLRs1mw2gbLsxekU4K8VYc+j075mw9sm4tQHYuvgv3FwIxoa8zQBQvtk64Ly000/5cYHbiyzoLXuDFKbtyD7fKZx3VRhTvOqQfuIodkV4G9MqurrE7SPqqLU1RFNR8kE3JbMv+1gCufChebNH81EieofRb7+rEmvKz80ZCpejmc0ugTtE8/GqfPqWXqZ2geo0vq/2P8iAH/d/1czQUh4ZQJJjSXhJdgS4jNSgkGzHpAfGaaQSBCxZWjxtNDua0dDM1UoUKJ+HHPnkswl6R7ttoA/QCJbrcmPpqNEzlyA5HYz9P0fMNsvCo5XzL0Ml81OwG3j9uuEguq7Tz/IL57eV8r8W1spxGI1h/YUs1kycoEfb/gxMbtYdPYe2ESXrvxNz201aRbZ6wVVJRcZod5Zj00u1Z+MIemy3W6aBlbuYh2Kg0+u+iS7Y7vplRzIiMfkijkSthzOjHifs+sfRXUVmB3bR17LW3ZPUDJ1M5ItSZLM7N8Af0mS8Dv8JNWSECHa5kOVVSrDAP+JOX8vajpLoZAjlYhRcBy+BcmRxN8N+Buj64ymGSNMqWeFYsUItYz2qZridelXoUl80Mqs+eK4MupHM2gfh0PQPu4w7Ko2mZoojJtxxCbOU4iJc68fjrw+cwAAIABJREFUXI8iKbRkxZdip2alF14eeRkNjRfjm/XXaP2Spjdvxrl0iWnJMFXIJuc/Ae1T0fGsmuDfWwJoSSKWiVEI+ijonH/A5qejt4B9SckENja8g6hX8Lb56OQDwPPDwycE/G2KzfxsQn6hFTdoH8O+u1Lrb4D//vh+c17zkDNHYBzObjsbT7JoznWWFEV0v46MUEjEGVFSNHubTf65UusP4Jg3l12xXWhoVeBfyftrmkYsHcPd2EL9Bz/A2KOPElrfzRfO+gLvXfZe87g5dU3M9nVQX3+IL977MtFDA+wujtPvExl2rrea+tGyWTJyEQ2Nx0dFn8DB3h3M69NQ5rTjCzebYCtJkt7oFTO7okvnyQhKy2ab1KRwzew11LvqSRRAlnMQ7yOSipCyC3sHUlGyO7dgDzvpzIvFoJL6GUmN4FbdZrYPJd6/3G8n4AgwpoP/WMiFI1g7sz+54WR8dh8Lgwtr/l72eJE0cGTBkS2C6/juXM3rOCHPegLC6DitlflLLheSUrupSCmjfaoGudic8NY74JJ/R5kl+PdyQzOT9nE6BU897yLB+09zZJ7f7keVVIa1BJLLZWb+G4Y2sDC0EDmWoOC0MaiNmtldUSuyLbINCYnnomKWQflAl2ImQ3rnTlxLp8f3Q1nmX0H7lE9PMuJA4gAD2RHhO6Nn/mpDA/FsnIJWQAsFzMy/YSiLOwvaSSWtdGzPwyXap8L4rDLyw0Mm+B3vMIq+oYAArRLto2f+Hiv4rx1Yy8qmlSiSYrpM9iijOHPQrjbiT4Hk95r3oRoOkz14EHJ54o6imflDba2/fe5ccxSo4UNkKFQq5Z5juTHyWp46Rx2h66/H3tHB4Fe+yhs7rqxyUj2teSWafR8/uHYpnsw4f0s9zef2/gCA7h0vVr0v+XSajFJEQuLPI6LPZbB/D/P7JTzLTyHsDIvOVn33owZDyKMJc7E0opjOCIpVkiYFf0mS6Ap0UcjmkRQN+jYwnB4mZQcllYXHv052VMN+8nl0dIoO/e7obss5yjX+RhiZv/G38X4m9N30QItzQuPBgCPAk295kgtnX1jz98ZAF3cGHLmJxSbHOv5+wF/XnVdl/jVm8paH7POBzUYhGqk5wpG62XD2R82h2eXgXyzP/EFQP6kIHKo95LwyJEkq0/qLLt9cMcfmoc2c2ngq+cgIWkDomA0VSHe8m1Q+xXWLriOuWicPAWS2b4d8Huc0i72g2zp7vVUFX0P3X67z/5cn/4V3/OUdyE2N5HpL4G/4xCjhMPlhMXg8vE/8LL1A1ziPDREb3ELeo4AkWeYA1Ir80InJ/AHT178hIMDB2PEZO8hy90+jYejiORdzWvNpPNgtiqw7JbEw1I2DNwVamW2zGg6T3Ssy1HGHGCxT76rHqTgtih/POefgXb0aNRikf7wfWZLNhWeizN/4LILOILLdTtO//gvZ/fuJ/PKXVMbKppUkcgmeO/AN8To9HfTmVwPws4e+wi+3Wh+TTMbIKXDF3Cs4JIvnLezZR12iiGvpEkLOEPli3jS9U4JBbIl0deafyZjfG3My1wQmhZ2BToqZHLKqQe8GRlIjpOwgpzIUnvophYyCbdEp+Fa9h/p8gX09VkvqSDpi8v1GzA/Ox2PzWOoQAUeAhCLqBQeb1EldZxV54g51w9nTlRXZv809sffYsYy/G/CfkPNPJiddeSVJEm3okRqZf1mY5m7ltE8mjaQrHwCY+xqhEjKon2IBNt0JiYklgSGX0eUrwH9HZAfpQppTGk8hPzCI2ihAxgAEozHlmvnXMKtBUFG5sRLnm9okqCDXNGWe5uvz+6uknqYvUhnt05PoYTA5yA77CLneXhP8Db25vbERLZOhOD6Ob08/KTskmnXQ2/R7ojL4PfUooZBlDkBlFMfH0ZJJ0zr4eIcB7o0BAQ7Fiszfpbrw2/30j/ebNgmrmlZxacel9CR6eKTnEXptgo7zjRfxpSBf1qyn1IeF+ySQdAoaQpIkZvlmWTL/wOWX0X7rjwFRg/Db/aY31ITgr8+kNWSK3vPOw7tmDcM/vpXxZ54xRywCrGgSRfb1O8WQkg+85oOotqvJKiqLM2Hu2WO18Uql4uQVRLNWvXhv2rcJjt+5bJlZBDWoHy3gwzNeqMr8tWzGLOQbw5Mmsifv8HdgyxbIebzQt5Gh5BAph6AO0+N6k9fsOdB5AZ2awj79O2JEJB2pUua8acGbuO/q+yxUUMARICaJhGdPfX5S8J8syo3nnDlw+A7vPEcafzfgb9A+hUTCosiZKvMHdP51gszfOMYA/4rMv3yEI+4QzDpdgP/YEPz6avjj++DOd05IBZnmbnVB8rGoOebx1IZTyfX34W4TVEA5+DsUB3Pr5nLRossBWL+/5GWe3rIZpaEetamJmYRcYdIFZdOTdNonU8gQSUeY5Z3FVnWQ9MEDFKJR1IYGU1HhatJldENDOHb2sKdZIp7XF+TdDxFz+gm6Gy2OlbXC7B84QZm/AVbN/lZQVdPorFz51OQRWv+1/Wt1s7L5rJm9BkVS+N5L3yOmN+d5Ejn8SY2cr/RYNVx6XeMO0XUKwmemnPMvDwP8jTBon0pr6Vha3KPlFE/TZ29Bstnoefd72HnmWRz86EfJ7NtHq6eVK+deyY1twnPK39LEN958MgOuIP5hO3tH91rUM+nUGDkFOgIdXLP4WlJ26OrT0GQJ5+LFpTqWrvXPeO34UqJxqzyKlsx/8sFEnYFOHDkY8/kF7ZMStA9AOvx6QJ9TIct0hBawr5hEG9plPn4kNVJF+6iyWlWw9dv97A5mUBsb2dCcnnDY0FRhTPNzZzS8BRXlH7TPsQ3TaCyXM5UEQM3JXJWhhkLkoxGK49PI/Ms5/3S62tdn/sXQtwFuPRcOPA+nvEP8/fT3ap633OKhEI2xfnA9rZ5WGt2N5PsHcLa2E3KGzGxwW2QbC4ILUGWVVZ3nAvBkWX9BavMWXEuXTXualfn6ajh7mrSPnvkbHa03Lb8Jb3snck6oPcozf1+TKKDlenuRdvewp0XnpLPjsP8ZYi4fdc66qcFfrwcoJwj8jYJgm7cN2W6Hgli8pTLZqWED8WL/i6xsXIksyQSdQU5vPp398f1kfOJYZyKDNwUZT0nuZ8g9AQoepwnqs3yzOJA4UHNQTCX4++wCZCq7fI2FuBy87LNmMe+RR5j1/36A/7LLSDz6GLE//AFJkvjyuV/mksDp4rpCIc6ZV4/a0oq9P02+mGdfrNs8TzY9DnYbPruPq+dfzZhTgIzS1YHscpmZv3EN424FbwqaHNYdnJbJIjnE+zHVVDoD/OMeNyT6GO5bBzbx/mQSRuYvqMXOzjXEFYXo2p+Ic2pFoploFfjXioAjwPZwmuaH76PfkzuCzF9gSLDgxJtTqvpkjlf8XYC/pmnk+vvNLLwcxCbL5o0wM/9JaB9DkmYocsDYulbYDiy4VPxtc4mmpav+n7CAfuyr0LeJyrCAfyzK04ee5qzWsyhEo2iZDLbmZnMMn6ZpbBvZZhb8VI+48ftHukXBdWyM7L59OJdNT99veQ9qTPOqzPz7xsUC2+Zt48qz320e9zJ95pc90NoBwPjTz0Aux+5WSTQi7XsSClliskzQERTgP0nBt7xz+ETEaztey/cu/B6dgU4T8CW73aKganY3sye2h4NjB1nVXGpEu7RD3ANts4XKyT6axJ+CpKckGyy36XaHGs3FepZvFql8ynw/yyOeieN3lMBfkRV8dl8V7WMsBpXdqYrXg++ii2j5ty/i6Oo0aw5QNi5Uv675J8+neVx8/tf955/47B83seFAjHwmharf8yFnyLQ79y0XjrgGvWJk/nGXhgw0FK3fQS2TQbaX3ldUdULwb/Y048hBxCkkkyP7HsNu12mfbS+L0aD6d7yzUVhF79t5H2gao5nRmkNXaoVBoxnzjg8X/A3Ov0Npwl1Q/lHwPZZRHB1FSyZxzBcceHGsxPtPh/ZRdX+fqRYKJRCoQftUZP7Ny+DGv8D7n4CW5ULOdvn3BCX0x5sgZ7WICDlDpPIpin4PxXiCTGacSzsuNXcyaksJ/A8mDpLIJUzveWNH48wKYEhv2QqaNmO+H2pP8zIyf6PIaYB/i6eFcMci87hv7Pspt2+5HZfqwtMsMv+xx8Ssg70tuuf87ofB5iZaSBNwBAT4j4xUNagZYVhEnCjwd6pO1ujzHYweBami2a3R3UimIHaZpzWfZv58zew12GQbJ7etEoKC3kHseRh3l76O5bRPINRi/ttQ/NSauVuZ+YOgfmoVfO2y3cJnV4a9s4vs3pL5bj4yArJsgrmrvR1/OokzJ9NcH+XejX28+dZnyKXT2Jyl71Nrq2geM7rJ6xx1yJJsLl4jLkEZhVJWvXwxky4tqrriZyLOXyoUsRVgxFYEJIZlCWeD6GHJ7NmLbU7JNK3D3wFAd24UBrdV+fpMFgaN1h3vFq/FeWSc//Udb8aTVyeUmR/r+LsAfwMoHQt08C/P/Kco+IJw9iwmk0LWOMlCodTVVej809WZP8Ccs8EZKP3fHRJdrEPb4PlbLYca29G0R2Q1s7QgpzWfZhawbc1CAtg/3s+GISHtLIF/aWrQWG6M1AZRLzgc8K81zcso+Bq0jzG5qsnTZJkTcN3ZH6RQFF2qSiAAqkp23z6UcJh0vVeA0+6HyXScSzKfJOgUmT/5fM05BqDTPrp/zIkOk5uuAH+jLuCz+5hfN9/8eZ2zjruuuIv3LXufUPXoIxjjrrIpXWW0T7C+pDgxdOe1eP94pgb4O6qdPaOZKEFncFLqzz63i+zBg6a7ZiEiBs0YOxtbm7imU4ttdLUlePqW13DKbDdyPk+qWKKvbAGxu3AuEbtNRVbEPFy94Dto06nDynpSJmtJnCYzKTSSkAEtDiuvZ9jfiLtBtyovFi3NjC2eFhyynX12G+x51NyBTJf2gdK0scqd03TD+F5qY0K0ILv/Af7HLHJ9ApScC0QWUkjMLPMv98ufNPOvq8j8M5mqbHDCmH+x2BVUdAAbN2VU7/K9uO4MVFk1X5NNz/w1NB7peQRVVk2gkWxiZJ8zqwmrgRfX4liwoGp4/HRC8fuFSqesXlJJ+/SP9xN2hrErdpS6OiEBlSSuO/v9/OWav3DbxbchybJpXOZatoyAo454ohei+4h1nA2I7NDI6Cfi/fNDQ6jh8LQb1Y5lyI7amb8hX1zZtLJK+je3bi5umxslHCajg3/MWSr6G/RK2lZSFIGg1CSkqi5VTdOIZ+MmQBlR56ir8veJpWNTFisdXV1QKJDbL4CuEBlBLfseGIv7klwDu6K7CLhsfP7qJmx56B2T+dc/bSY6nhULhs2Gc+EC87FhV9gE3T5VfBcrB7mX0z5gBX9N04j86ldmUmf8fLA4Sub132C4mMVbV5qMZZ9dAn9FVpgT6GCPpw72PFLl6zNZVIL/4Wb+kiKonsLoKFouZ3YwH+848d+c4xCGxt+hg39R1/prmjYpj2+EWsa/Tpr5B+qqCr4z8p1pPxMOrbN4/xs35dMH/geAcz0nA5Dv7xPOiaGQSQU8degp5tfNNwefS5IEbifOLCSSMZLr1+M+7TQOJ0r+PqUsspiyFnz7xvtMVYox1EUJhZBUlZAzZCo6DIWOc9lSkZnqBcNYm3htZubPJOA/PHzCKJ/KkGx6YbLiszbei1VNExvPqeGwSUNG7CXVjBoSpm3JMqUPCEuDRndjFe2TzCcpaIWqzN/v8FfRPpFMZEq+2t4pfOozOu+fj0TFUHY9jMx/btpP73gviWyC/tRB1AK0hOu544Uezv/GY/x54QWEv/FNi3dNyBniUHyI257YwwGjF6AS/LMZS/Fc9njMTvXsvm4GvvJVYn/4b3GsnvmnbULtlsqnCNSV1EP2OVav/FMbT+Uptci3YpsY1K0yKnX+tcKgfUzwP0zOHwT1Y9zb/yj4HsPI9wmgNJwjjcxfS6VA06ZF+xgxZeZfDo4Z6w08ZbSfAdkxGNxq/igki2zyUb0haC4C8HJ9/ajNzUiybIJ/ppAxKR/zel0unDnIbd+JlkziPu3wHDBrWTwU09UFX0MFA0JhYYBEeRjg71q+HL/dT3x8AEJziTnEwlrnqDP7FwxX0Mo4Ub4+tcLkpisy/65AF18+98u8ecGbJ3xsOb0zrFtegzBtK/q9jDut4A9Uaf0BM7svL/gCNQe6TCvz7+wAILtP8P6FkRGUcOl7oDbUI9lsNMfFjmZ3bDf74/uxFWBF12we/MT5nDU3zJc2JbnsJYUndpYW8ULOy47hXr76l+3sLOqD6qNWRVIxk7WCv9ttNnkZ5oxZfVdi0I9ZW8lGoy5coh0NpY8RnzntM1zXfC6/9Lv5wYYfIkvytIA84CyBv0RtU7fphuzzmff2Pzj/YxgGUBr8sJH5T2XqZkT5dnc6nL8hw6sp9ZwsZp8h/u4pzQgODoqGlIiuCdeiYruc6+83Z5CGnCHcqliUDKVP+fU6syBvEOdxr5o++A+MD/C2+9/Gs73PotSwddbKCr6aptE/3m/Razd//nO0fePrVedVGvTMf+lSAjYv8dwYzLvIbD4StI84ZtLM/5UC/vbamb8kSVw598qa05yMUEIl8B+wWQ34cgG3ReNvRJu3zWLuBiUtfy3OP56JU9RKhfNoJjolXy17PKgtLWT0om8+GkUtS4IkWUZtbaEuImjAXdFd9MR7sBckbE4PC5p8/ORdq/jjh84m4LJx/e0v8IW7t/C7F3p4bmcGWR2jpU4iLo9RcNiqM/902pR6gpX2SW3SwV936zTox3QZ+If9TaAPdrHNthoY2hQb/3rht/nK8CgUC9S76s3GODMyCdj/jOVHXpsXWZIZy43hd/hrmrpNN2SvpwT+U0jNj1X8nYB/n5jZ6XKBopiZf+X83olCmQHtQ6FAUW/4KWYmKPhOFIF28LUK3b8e7u6ncRU1xvTkoLDhz4DYzagtAmglSTKz/8rMX3V7cWTBtWUv9s7OaQNmtpDl5sdvZvPwZu7fe/8UtI+TeDZOKp+i2V0Cf1trq7nbKg//a19H6IYbUINB/JlxIrLEr9w2vvr8V01aQ3Y4UAKBmpm/ls9TGBl55dA+Bud/GBlceeY/IFu7zw+dO49nF8tV1gf1rnqLPw5MDv4amun9lCvmSGQT02pQcnQKuaeWy1EcHbVk/iB8eWzjWbw2LzujO83MX7KXXCpXzA5y70fP5d3ndPLLZ/fz2T9uZlagEU3KcsUqfdiKz10N/hmrTFqAv0jWzMy/u1tQtzr4+3z1puih3lWP4vGg1NeLmdyVYXdzRcMK7hq38x8X/kf17//6f+AXr7dM35Ml2Xx/D7fYa4TiKad9/pH5H7MwwV+SUHy+GWf+stdrZhGTrdJmo5c+prBSsTBlSBK0n24Bf/Y8Ski2E/Q3IdllCjueRuvfRm5wEFuzVQKoSEqVk6Di8eDNSvi3H5oR3/+1F77GpuFNtHnbeL7/eSFJxEr7aOmUMN+S5ZLM09tS83zl4T33HJo+dTM8/X0Cux4mrih8c/89zA/O5/ZLbzcLa2pj7UavfCQCmmbuDk50mDYEM/ms9TCMA3MeB7GCtfv8xYtm8cJ5DWYNx4iQM0SumGMsV1osDF6/ivbR30uDFjKOmw542buE3DOva/wNh1sjZLcbLZlkfnC+nvnvR81rVd70TpvC5684iTveewafvGQB7z9H1HbmtIjzxmxu8lFr30Ixm63B+ScpJpNkduwUc63HxiiMjJhJSH2ojVReLAT1rnpkj6eK8rHEvDV0DO5kqa2C8hkbhA2/A7QqAYbxflYW1mcastdrzgU4UTr/w9+3AJIkhYDfAx1AN3CtpmlV2jxJkh4AzgSe0jTt8iN5zpmGls+THxw0s2TZ56vK/JUpwF+SJNHlOzAw6ULhXCy07cm1a7F3dEws9ZwsZp8JL/+PnnFoMLyTt3a9heDCy1HD36WQO0j+P98G+Ty2llKWfdW8q+gMdOJUrc8nu910DBSx5bJVfP+B+AE2DG1g8/Bm9o7uZX7dfFY1raI/2c9dO+/i3UvfTZu3jS899yX6FJE5lls8FJOlQS6GzLOSoqgZg9vEFLTBl1k973wONLVz7bIbLVp4EDNqczUy/8LwidX4V4ZR8JVm+llTqn/k/W4KWoJkPonHJu6x8gJ6eZRbJBhdvBNm/nqRMpaJ0U67aeo2HaWKvatTgO12QRmWU1QgEqH88DDz61Zx7957yWb0nfQEg0nOnlfP2fPq+dtBkSjsjQsX0l7NRdtwCfw1TdON3ay0jzaeJL11KxQK+F//eqK//S3Z/fsppsTzNoVmQ3wziiTkpLmLLsI2a5LxiHPXAP9HAPyKd5V+/vxtUMgKOfbuh2HFO81fBRTxGQf7XxajRVUHvPEnQqk3g5DdpYVNslWYwG34HWgFOOXtIiE8RnFE4A/cAjyiadrXJEm6Rf//Z2oc903ADRzfYavonHGhYI4WVHw+M3s1M/9prLyKAf6THOtYuBBbWxuJhx+h7k1vmpnU04h2nfc/8LywPACuX/VP0LiYfaFfkXfVk49uBiTU4Weg8GZQVFa3r2Z1++qq08keD4aIpJzv3zC4gXf+RdzULtVFh7+Du3bexW+2/QaAs1rO4mOnfsxUlbwwtpVlVNA+6bRJdRiZf6VHS824/5MwNgDX3cHyRZfxzQkOUxsayHRXj9070b4+lVEq+M488zeyac3vBRLEM3ET/HvHepkfnF/1mHKLhI5AB1DK7CszUtPcTS/6Gp/TRINGysPRJay2k2vX6tdq3S0YPPyC4AJS+RTGKOmpplIZDVXbImJRidv8JPrLJoPl81AsWmooxnMl1wtaJ3DlFQL8u7tB3y211ndCXJxflmSaPnvL5C+wcbGgWXc/UgL/zBi8+DNYdBm46sSs7kIeFAGV/nF98VTd0LoA9j4O93wU3vuIsG0HyGfhuR/BkjdAsKPmUytaadcmD7wI6N/7XBoe/gI0LIJT3zH59R9hHCntcxVgeLr+EnhDrYM0TXsEqB4ndBzC0AIbowVln4+CLq2bLu0DoOoj5yY7VpIkfBetYfyZZ0RhNJ+fORXQvAxsbgH+ex4FX4u4ERD2t4WMRO6cL4vXtPsO+MONk57OWKxGw05zwhYI902A2y6+jWff+ix3XnEnz7z1GX71ul/x2dM/yzcv+KbQRPvn0ORu4vnBtSh1daLTUw8tnbJ099pk29R66d71sP8pMYt30WWTHqo2NpIfGq7ysSn5+rxCMn+z4DvzzN/wJpLqRMZuZPBFrcihsUPmAJfyMMCz3OIhno2jSIpZ+DfCoIEMumfD4AZUSa0SBtQKe1cnAMm168S1hiszf0HFGAuUTW9TMHZCE4WxeO2I7CDoCBJubUaKj/Lh377EF+/dyn8+JnYEUrnOX6dbk889h232bJxLloDNRra726R9DBfbevc0kwJJgoWvFQC/9nbxs/W/gXQMzvm4mL+RHhXya4BCnkBc4EnwpDfCm26H131D3NMvCK8gNA3u+4QA8N+9FbK1G9PkfOmzk3ffW/rFht+IxOj8T07vNRxBHCn4N2ma1geg/904xfHHPQw3TwP4FH9Z5j/Ngi/oN76qTpnVeNesQctmSTz8CHAYVIBig7aVQmmw9zHoutDc+gl/nxi5iFhHbeddD9vvh1RswtMZr21fl/U1Gs6OS8JLzAYku2Ln1MZTedvit5kZoyRJnNFyBi/0v4BSX29SLiAKvsYIx/4xofSpUk1UxrM/ArvPus2eINSGBsjlLL0TUO7r80rJ/I0mr5ln/rLHg2S3m/UiA/yHkkPkijlzjGB5GAtsJfj77f6qrl1zoIsO/usG1nFS+KRJFUhGqA0NyF4vqS1bgNLMXfPa9Wx8XnCeON4A/ym+I0axOVvM0uRpYuXJnbjzGXYdHOGutQf53l/E8z28N0Z0XOfF9aQruW4drpNPRlJV7O3tZLv3mwXfjkbRxzOdXY0ZF38J5q2B+/4JHvq8GMvafqaovXWtFhbsux8Wx+55lIBObZk7rKXXiEXi0X+H0YPw5Ldgw29h8ZWC3rz/n82dieW9y/SV/t3/AozsgUIOnvoP4fzbcd70X8NhxpTgL0nSw5Ikbanx56qjfTGSJN0kSdJaSZLWDk3i6DiTyPfrHjh6cVT2Hl7m75g3D3t7+5RumO4VK1Dq6ojffz+AhbecdrSfAf2bIBUVMwD0MDz98339SC4X8qprBDe474kJT2VkTDtnWxm+WCaGLMkmZzxZnNFyBrFMjGyd2/TUAaHzN7z8+5P9U/P9o4dg6x8F8DunLphNpPXPD52Ywe0TRangO3PVhiRJhD/wfuyvFT5BBn1jSDnLh4kYYfD1Rpes8bjKYi9YaZ9MIcPm4c2sbFo57Wuzd3VBLgeKUmWlIbndaOk0PtlNs6eZZlVk9FOBv0Nx4LOJ+67J3US4VaiZ7r9hOVu+eCl/eLe4vkf2xDjn64/y7v98kcf26705mQyuk0XB2N7RIRQ/6RRIEvV1rQQcgarZAJNfjBeu+x2svBGe/g+I9cA5HxO/cwVh1mkl8N94BwFFfNamWkqS4LJvC0v231wjFoHlb4FrfwXnfwo23gHrf219zmIBebzH/K+sSuKYzXfBaI/I+o8h128+71QHaJp2kaZpS2v8uRsYkCSpBUD/u3ZHzjRD07SfaJq2StO0VQ1HqZiX6+1D9vtNudfhZv7h976Hzrv/Z8rjJFXFe+GFjD/3nDj3TDl/EEVfI7pWm/9UgnUUx8bIHjiArbkZqf10kUXvfmTCUxne4ZvbrQZpo5lRAvbA1Jk6cEaz4COH3QWL06aWTCHbJPj5JfQNb5ua73/hJ2KI/RnTK/0Yg1oqJ3oZA2JeKWEWfA8j8wdo+NCH8J93PlDK/E3wr5H522SbxR/HeFytpiNVVvHavMQzcTYPbSZXzJkDWqYTjk5B/ZT7+hhhWi2nUpzbdi4rQqLoORX4Q6mjtsndZNqnGCrS+M8kAAAeDUlEQVS52V6RqNx82VKuOqWN/SPj3LW19FoPNIvuY/ucOWR7esxRrLIsc9vFt/GBkz8w7dcnXpwKl38XLv0KLLsWFryu9Lt5FwlaZ2QPbP8zgSbhCmppCgt2wIWfhaHtMPtsuPIHArxX3wKdF8CfPwX9W0rHD21HkUp0kLT4Ylj/W3jyO2Im+PxLZnb9hxlHSvvcA1yv//t64O4jPN9RD0PmaYTs9YkpUIWCuGlstmndrJKiTKhiqAzfRWvK/N0PA/xn6YXZ5uXgLYGcUXdIb98mlD6KDbouELWBGltLgMAbruKlj62h22ttIIplYtP2JmnyNNHh76BHjZsjGAGKYzGk/nXkD7zAYCFFc7q26yIgCmnrfiG2w8E5Ex9XFhNm/q+gBi8oM3Y7nM9aDwO4DfA3jNtava01jzesvo0YzYxO2HEacAhnz3UD65CQOLXx1Glfl32uKPpWyjzB6rP/hbO+wCeWfRiw6vwnCqNu0eRpMu1T8oZEWpdAtjYG+Oobl/HIP6/mO9eLhCir2Ljmr4Pc/PsNPDLmQMtk+NujL5HR5bBLwkvMKWszCkmCsz4M1/wUyhe5eWsADe79OBQy+DvEIl3VEXzmh+Hq28RMb1VPAmQFrvm5sG9/4mulY3ueQ9bnDUguF9KqG2B8EEZ2wXk3H5esH44c/L8GXCxJ0i7gYv3/SJK0SpKknxkHSZL0JHAXsEaSpIOSJF16hM877SjvhAWR+YOwdZ6Or8/hhOfss02Vz+Fov3EFRaX/9PdZfmxwrvnePpPGYu5rYPQADJcmE7H1T/Bfb4diETUUYuycZWQKGXKFkndMLBObkTfJGS1nsFPqQ0unKT79c1j3S4qD+5BVjaF33klRkmjZ/gAkdUDKZwSH+rOLxMSy31wjimdnfWTazzmRv88rydcHyi2dD5+G8tg8yJJscvOHEododDXiUGqfsxL8J8r8QSwso9lRXhp8ifnB+TPSqDv0oq9SE/yts3UN0J5OMmUUfUXmL85d6o8RXcPltF5dWFyzd9lS3nvhQu7d1MsfBgR8zR45QKQg8evn9k/7dU07Wk4Fdxi6n4SGRaxYeDXntJ7DguAC63GKCidfJ7675eFtEJTS9vshql/fgReQfeL1yC4XzLtYqI7C88Rsj+MURwT+mqaNaJq2RtO0+frfEf3nazVNe2/ZcedpmtagaZpL07RZmqY9eKQXPt3I9/aitlozfxD+PtMZ5HI4IbtceM49BzjMzB+ExXNFUVSpK3NVNBa0eYIrNptRcml44LOw/T6xXQW8duEfnsiVBFexTKw2CCQj8KcPWrepwBlFO0NuQR3l//hpuPdjaEUFeenr6fcJIG5JxsUWN3YAfvE6waFKCqTjon6x7Fpon36jmexwIFd0+Wqa9ory9YFSXeewKD49jPpLeeZfi+83IuQMWTn/bG3OH0TmH0lFWD+4nhWN06d8QDR6QbXME6onbJlNS9OhffSitSXzHxGvx5wQV9HkBeA95WRued0iNn7hEu74v28CwJ8cRXW7+fzdW7h7g9X24ohDlkt1t5PfSptvFrdefKv5nZpWnPYeQBISUoADz6PMEfSR7HaLheOdf4S33VmSix6HeFV3+BZGRymMjmIvMxeTjcw/EacwDTvnww3fmovE8x3F8yvBUqZuNK0R7IDQXNij8/7rfgGJPkCC7UJCZmSERos/TJL5//mTokh157sEVQOQTXL6i79mVH8phSt+DTc9QVH2Ivnr6RvTu3tPvRG2/AF+dCYM7RRFr/c8CO97BD7ygthSzzDUhnpL5l8cT6KlUq8YpQ+UMtQZ93RUhN/ut3D+tWSeRoRdYTPz1zRh3zAZ7bMtItwuVzZPr9hrhL29XbjH1lhsS+Av6L7iTDJ/Zynzl30+sNkojJQ648EK/mpLC7ZZswSlCrjtKo6WZrPPpK0lxOkdIW6+cyO/eW4/uULtIUCHFUuvEQKF5W85vMcHZsHiK+ClX0K0G6L7kDvF52BaOzQuhvDco3O904xXNfintwu9sGNhyfJA8RmZf0IMUjhG4B+4/DJav/F1XCcvP2rntGb+ZcqaeWug+ymRXT/5HSET61oNL98DmobXJrKUsazVDqAK/Lf+Cbb8N5z0Bojshb98Wvz8b98kEO2hoVGAUT4tQ+spFNNpZKez1OB13qeFTC7UKSaVHYUtrNrQYMn880Pi36+ozN9+5Jk/lMA/V8gxMD4wZeZvHDueG6egFSakcwL2AAVN1KBWNs4M/CWbjVm3/pjwjdX9JJWD1WdC+6xsWsny+uViPoEkoQaDZg+Jlq2mfRSvl3kPP2RpVJQkyRzUorhc/Oz6VaycE+T//M8WXvPtx/n9iz1HZxFY+Dr4zH7wT6N7faI44wOC9rxf6PfleTozcIIGucCrHPwzO6rB3/SoSSRE5n+MfDUkm43AlVciKUdvG1ee+ZdbOzB3DeSSYgzk+CBc+K+w+HKI7IGh7VW0TyqfIlPIWMFibBDuuxlaV4gi1fmfFHrlx78Gz3wfTn4by5e/HoBYbzdaLge5HJJLgL/f7sftDOgjKp88almMrbHRkvlnduwESnTEKyGMZqTDpvj08Nv9JDIJ+sb70NBqKn2MKNf6T2TtYITxOc/xz6HBPfNaifeccyyiCSOM745mgr+oKU0H/E9vOZ3fXvZb07dICYfLMn8B/tOxQzeMA2WXC5/Txu9vOpOfX7+KoNvOZ/57Mzf+4kXyR2MBONIi7OwzhYBj90Og2JG7ThfXfYJ8feBVDv7pHdtRQiFLcfB4Zf7HImS73bxetTzz7zgXZBvs+qvgJ+ecBYsuByTYdp8JCmOpCOx9gtF0xQBvTYN7PyHsJK6+VXCQF9wimk0e/yrYvXDJlzh70SXkZdjfvdGc6CU7XQyMD5Q0/rJ8VNUKaoMwdzMURqlNm5DsdpxlC/qJDqNBq3xxPpzwO0Tmbyh9JgP/8i7f6YL/TPn+qWIizn864F8Zaihkqn2KNWificLeITJ/g/6RJIk1i5u4+8Pn8KWrlvDU7mG+8eCOGV/PUQ9JEtk/QOupSHYXssdzwga5wKsc/DPbd+BctNDSmFVypzy2mf+xCiUYRPb5rDa1Dm+pN2D1v4i/fc2iQWXbPaXM//kfwa+uJPqSaGU3aZ+1t8OO+2HN56BBB1VFhWt+BuH58PpvgqeeheFFjHkVhg7uMj3UJZeTnkTP9Dx9DiPUxka0si7f9KZNOBcvPiyAOVbhPv00Ou660xwTerhh0D6Gxn8qzh908J9gkEv5eYFpN3dNN4xExGiWPBLwV8IhCnrBV8ukp30e+5wOcS0VtsiSJPHOszp4x5mz+cnf9nLvRuEdlC8U+evWfstwmeMWS6+BwGyh7gHkgP+EJp9Hauz2ig0tnyezaxfBt7/d8nPFK4CwMJagOP6/K/MHkWXW9P++4NOiIaVcTbP4Cnjoc3h1M6pE3wbwtRB77kfQFBIZ4cF18MAt4oY888PWcwbnwEfXmv+VJAktFCA7NEB6XADOvkwve7N7ecvCwyyGTRGm3HNwCMXnI7V1K3VvetMxea7DDUmScC2bmatjrfDb/cQzcQ4lDqHK6qR69XLax3BynSjzPyl8Eh3+Ds5uPfuIr7E8jPvQzPxzOvhP4e1TK9RQuKTzN3eVU9NoRuZvTJOrjM9fvoRtfQk+/YdNbOkd5e71vfTHxeLypauW8M6zOmZ8rYcdNid8dJ3ozwFavvhvqE0nzhHnVZv5Z7u70bJZnIus9IBksyG53RTjiWOm8z+WUfema6i7rgbQdp4P537C+rPFwj3b+9ytAIyFu+D9TzLqEjRAXWZcqHq8zcKWdhrD0D1NbfgSBTYdEBOTHuh7jCZ3E9csuOYIXtXEYTZ6DQ2R2b0bLZXCtfzoFdFfSeF3+MlreXbHdtPiaaka+l4e5bbOZuY/AfgvDC3k3qvvPSy+f7IwGiSraZ+pm7wqQwmH0FIp4dk/I9qnQxw7wUAUuyrz47evwOdUue2Jvcxv8nLrO1Zy0eJGPnf3Vn78+J4ZX+sRhWo3aVHveece8W7xiC7lhD3zMQ5T6bNoUdXvFK9XKAtyuRM2Qu1wI3jdddM/ONQFTUtR1v8az5x2EgsuBG8DsZXvgF2/o+6Ot0E+J+SY7qkHWAOEZ81jfOsW1vc8x2uAHcl93LT8CxM2Ix1plDL/QXKHBB1yNBVUr6QwwHvbyDa66iYvaHtsHuyyXUz0QtRDjnTAyOFE+Wzdmej8K0MNlbp8zYLvNM6j1NVR99br8J5/wYTHNPqd3PORc8kVirSHxPd9zeJG/vnOjXz9ge2MZXJ88pKFU/p2vdriVQv+mR3bwWYzvUnKQ/b7yPeLgehGl+KrNk56AwxsxesMktDlfjGPAPpAZgyu+D60zqDdv6GRQBJePrCO1wBeX5ir5119LK4csHb5Zg/0oNTVYWtvP2bPdyLDAP/B1CDnzZrc1VGSJEKuECPpERRZQZVUXOrxlw2Wz9adic6/MowRkYWREbRsBslunxYYS5JEyxe+MOVxzQErLWRTZL77llPwOBR++NgeNA0+denf1wLwqgX/9PYdOObOrXkjKl4fuQExeep/W+Y/4zjnY3DSlfieucUc+zeaGcVj82D7xBaomxmQqvUNyEUNeUjws5ctuQabMvNt/nRDdrmQfT7yg4OkN27CuXzZq/YLWl6wneWbZAKVHmFnmJH0CE7Fid9Rbed8PEL2uK20jySBOnNYKXX5RiimM9OifI40FFniy28Q99OPdPrnU5cupFDUeLE7SmQ8y2XLj0Db/wqPVy34Z7Zvx3N27QKX7PeR3yamCP1v4/xnHKoDGhbis/vMJq9oJiqUPjMEfig1VzVFBdVwwbxj70CoNjaS7e4ms3s3vkuPmy3UcY9yzn4ymacRIWeI4dQwPptvQr7/WIfkLgf/3LQz9spQTX+fETHC8Qh8kmYSsizx71ctRdPgR4/vYX1PjG39cWJJ0bOgyCt57dJjo2Q70fGqLPjmIxHyQ0M1+X4AxecvKQpe7eCvh9fmNfXgMzV1Kw/DVuF8WRTS7Z6p5wEcaagNDSRfeAH+f3v3HlxHfR1w/Hv26krW1cOWZGQbv2QHgw0aMEYJfgCFYA82tLXpI6WhwSlxSFMmSTNMUgidNA1TQqcZknSKkziQxGAwnTgJuNBHiHGhA8H4UWJs/ARc27WwZfwWtiXZp3/srnwl7rUee69Wu3s+MxrdXS3a388/ce7vnv09VGOb74f+BX9/nH9Ywd/JdO3593cIrr+4W8f7bs7fKR2Y4A/uG8DfL2jkU9PHs+W9Y9xwST2Lb5/GpaOq+fqzmzh6sr3nXxJBsez5n966FeBDI318TtW5RZmiNs6/vypLK9l1bBcAR0/lWNqhl/ye/9jjpZwi+JIGvbpn/QXujGJgSGNj0e8Xluy0T6+Cf7kb/IefHt7r5bkLzclU0H7YnYMRJPg75eU4mQxnDh3ibNvApH263N8RHljQyAMLzv19javNMP+RV/jWv23hoT+MX6cjlj3/8430Abfn70tKz7+6tLoz7ZN3Rc9e8IN/+x53Fqr0Y/eqPt/Te+ibHj+uc0+DOKpMVyII5SXlPe+FjJvzbz/bzr4T+8Lt+WdN8goy+S5VV+eN9mkb8OCfS+PooSy6dgJPr93DqzsPsufQByx5+W3ufmoDT63Z3bnFZFTFs+e/bSsl9fV5A4U/yxcS1PNPV3K87TiqmntRt15yKioQr4cG+SfXFFLaG+tffvkVRb9XmPxlnesz9b3Km/tvEIdPH+7cq3egdU/79GeYp6+k1pvlKxLo9xTSl2dfzH9ueo87l67lVLu7RlBdRSnPb2zm689u4vpLLuBvf++yziGkURLL4H9q6zbK8qR84NyGLpCcnn9laSUd2kFreyvH24/3O/iD2/tv373bfbhXwIXr8t7P6/nHdXJXtpohNb0a6QPn1veB/Es7FJtTUdFlhm/Qnn/7vn04lRWBl8culCHpFA//yVQe/tV2rpk0nHmNIxlXm2HzvmOs/O0+lr++m1sXv8KP7mjiynHR+lQau+CvbW2cfucdKq+7Lu81/oYukJzg76cF/HVjguSIO4N/nlmVhVY2ZQqpmhoqZs0akPuF6RszvtHrN2Z/H1zIP7u32JxMBj150t0WNWDap6SullNvvomk0zg1g6cnPW1cDcsWXd3lXOPooTSOHsonmsZy50/XctuS1/jebVOZ2xidoaGxy/l3HDlC+RWXn3dUSGfP33EGRW5xIPhr+u85vgfIsQdpH/h5/4F42AvuJuIX/+bVzi0F46xpZBMX1VzUq2u79PxDDP4AZ0+eCp7zr6ml4/Bh9NTJLmv5D2YX1Vfyy7+cyaUXVvP5JzewetuBnv+jQSJ2wT9dX0/DsmVUzZ6d9xq/5+9UVMR2wlB3/sqee4+7D2qDLAUw0MHf5Jb96S20tE/Wbl7+OP/+KqmrhY4OOloOdu6REAV1lWUs/+x0Jg6v4IHn3irsLmJFFLvg3xt+zz8pD3sBqkrdOvtrxQfq+Xtj/SVB/36DUdpJd76Jh9bzrzi3oUvgnr+3vs+ZI0ci94l8SDrFffOm8E5LK8tf3x12cXolkcHfH+2TlHw/QFXarXMh0j4p6/kPGv6In9DTPgUI/iV1555hOAM0w7eQbpxSz4yJdXznhe2RmBiWyOCfSmDw99M+Bc35D8AwT3N+fvAPY0VPyBX8+7/OU6ru3DOMKKV9fCLC/bdM4cjJdhav3hl2cXoUKPiLSK2IvCAiO7zvHxrrJCJTReQ3IrJZRDaKSHF2/egDKS+HVCqRaZ/mE82UOqWBVoD0g/9ATPAy5+c/9A2959/aWpBx/r6opX18jaOH8gdXjuEnr+xi9/sfhF2c8wra878XWKWqk4BV3nF3HwB3qOplwFzguyISzlx0j4iQqqpKVM8/U5LBEYcO7WBY2bBAD7rtge/gUVdeR9pJh7KcMxQ27ZPKmpQpZYNjkld/fOWmSygtcfjcsvWcON0RdnHyChr85wNLvddLgQXdL1DV7aq6w3u9DzgAFHZLoX4oGTUq1C3UBpqIdA73HDokWIrA/3guGev5h+2Tkz/Jg9c8GNqotQ8F/35s4eiTkhJSw9x+YVSGeuYycugQHrl9Gtv3H+cLT22gY5CO/gka/EeoajOA9/280VREPgaUAjn3ThORu0RknYisa2kp7gbL45b8kPp77inqPQYbP/UTJN8P7k5NpePHkx4VnQktcdUwtIG5E+aGdn/pTPt8wNn2YEM9IatjURbtT5W/c/EFfHP+Zaze1sI3n3sLVeVk2xkOHDuFqoZdPKAXM3xF5NdArgWt7+/LjURkFPAEsFBVc74VquoSYAlAU1NTUf+F/CUDkqRQwR+g4ecrIt07M4WR8lKnhUj7gJv3b3v77UinfXy3Xz2eXQdb+dF/v8vTr++hzfsEcPWEWn74qasYlgm3jj0Gf1XNO1tKRPaLyChVbfaCe87pbSJSDTwP/I2qvtbv0ppAOtM+BRgZkqqs7PkiE3tSWgrpNGdbT0BHR8F6/nHpWNw3bwojqodw8EQbwzJp2jrO8s8v7uTWxa/y409/lAnDw3vuGHRtn5XAQuAh7/uz3S8QkVLgl8DjqvqzgPczAfjDPWvKorUAlRncnEyGM0fcNf0L0fN3f088gr/jCIuundjl3MyP1PHZx9dx6+JXeGzhR7lqfDj/PwbN+T8EzBGRHcAc7xgRaRKRR71rPgFcB3xaRN7wvqYGvK/pB3+iV1hjwk08dQ3+wfZz9jdyj0PaJ5+mhlqeuXsWQ8vTfO6J9Rw8cTqUcgQK/qr6vqreqKqTvO+HvPPrVHWR93qZqqZVdWrW1xuFKLzpm0Lm/I3xOZkMZw4XqOcfs7RPPuPrKvjBn13FsVPtfHXFxi4PgVtPd7DrYGvRy5DIGb5J5ad9LPibQnIyGTqOHHZfB835+2mfmAd/gCmjqvnavMm8uPUAS1/dBcCvNr/HnIdf4vNPbuDs2eKOCordev4mP0v7mGJwMhnam5uB4D3/ihkzqF24MNZ7NWdbOLOBl7a38OC/b+XFbS28vL2FySOreGD+ZThOceduWM8/Qfygn70OvDFBOZkMZ44eBYIH/1RVFSPuuzf2aR+fiPCPf3wF1UPSrH33EF+7eTL/+oVraGroeQ/noKznnyA3NdxEaaqUsdVjwy6KiREnk4F2dxXLoME/iYZXlvH8F69BBOqrBm5ymwX/BMmkM9wy8Zawi2FiJnuBxCDLOyTZiOqBn9FsaR9jTCBdgr/1/CPDgr8xJpDs1XGDjvM3A8eCvzEmEH8rR7Cef5RY8DfGBJKd9gk6zt8MHAv+xphALOcfTRb8jTGBiAX/SLLgb4wJxHr+0WTB3xgTiAX/aLLgb4wJxMlkD/W04B8VFvyNMYF0GeqZtnH+UWHB3xgTSGfaJ51GHAspUWEtZYwJxA/+jvX6I8WCvzEmECkrg1TK8v0RY8HfGBOIiOBkMhb8I8aWdDbGBOZkMvawN2Is+BtjAnMyGZDibjtoCitQ2kdEakXkBRHZ4X2vyXHNeBFZLyJviMhmEfmLIPc0xgw+lvaJnqA5/3uBVao6CVjlHXfXDMxU1anA1cC9InJhwPsaYwYRC/7REzTtMx+43nu9FPgv4K+zL1DVtqzDMuwhszGxU3vnn6Nt7WEXw/RB0OA/QlWbAVS1WUTqc10kImOB54GLgK+o6r6A9zXGDCJVN9wQdhFMH/UY/EXk18DIHD+6v7c3UdU9wOVeuucZEVmhqvtz3Osu4C6AcePG9fbXG2OM6aMeg7+qzs73MxHZLyKjvF7/KOBAD79rn4hsBq4FVuT4+RJgCUBTU5P2VDZjjDH9EzT/vhJY6L1eCDzb/QIRGSMi5d7rGmAWsC3gfY0xxgQQNPg/BMwRkR3AHO8YEWkSkUe9a6YAa0Tkt8BLwLdV9c2A9zXGGBNAoAe+qvo+cGOO8+uARd7rF4DLg9zHGGNMYdmwS2OMSSAL/sYYk0AW/I0xJoFEdXCOqBSRFuB/A/yK4cDBAhUnKpJYZ0hmvZNYZ0hmvfta5/GqekFPFw3a4B+UiKxT1aawyzGQklhnSGa9k1hnSGa9i1VnS/sYY0wCWfA3xpgEinPwXxJ2AUKQxDpDMuudxDpDMutdlDrHNudvjDEmvzj3/I0xxuQRu+AvInNFZJuI7BSRXDuLxYKIjBWR1SKyxdse80ve+R631ow6EUmJyP+IyHPe8QQRWePV+V9EJHZbSonIMBFZISJbvTafEfe2FpEve3/bm0RkuYgMiWNbi8iPReSAiGzKOpezbcX1T1582ygi0/p731gFfxFJAY8A84BLgT8VkUvDLVXRdAD3qOoUYDpwt1fX3mytGXVfArZkHf8D8B2vzoeBz4RSquL6HvAfqjoZuAK3/rFtaxEZDXwRaFLVRiAF3EY82/qnwNxu5/K17Txgkvd1F/D9/t40VsEf+BiwU1Xf8baPfBp3q8nYUdVmVd3gvT6OGwxG49Z3qXfZUmBBOCUsDhEZA9wCPOodC/Bxzu0PEcc6VwPXAY+BuzWqqh4h5m2Nu/BkuYiUABnc/cBj19aq+jJwqNvpfG07H3hcXa8Bw7y9VPosbsF/NLAn63ivdy7WRKQBuBJYQ7etNYGcW2tG2HeBrwJnveM64IiqdnjHcWzziUAL8BMv3fWoiFQQ47ZW1f8Dvg3sxg36R4H1xL+tffnatmAxLm7BX3Kci/VwJhGpBH4O/JWqHgu7PMUkIr8LHFDV9dmnc1watzYvAaYB31fVK4FWYpTiycXLcc8HJgAXAhW4KY/u4tbWPSnY33vcgv9eYGzW8RggtpvFi0gaN/A/qaq/8E7v9z8G9mZrzYiZBfy+iOzCTel9HPeTwDAvNQDxbPO9wF5VXeMdr8B9M4hzW88G3lXVFlVtB34BzCT+be3L17YFi3FxC/5rgUneiIBS3AdEK0MuU1F4ue7HgC2q+nDWj3rcWjOqVPU+VR2jqg24bfuiqt4OrAb+yLssVnUGUNX3gD0icol36kbgLWLc1rjpnukikvH+1v06x7qts+Rr25XAHd6on+nAUT891GeqGqsv4GZgO/A2cH/Y5SliPa/B/bi3EXjD+7oZNwe+Ctjhfa8Nu6xFqv/1wHPe64nA68BO4GdAWdjlK0J9pwLrvPZ+BqiJe1sDfwdsBTYBTwBlcWxrYDnuc4123J79Z/K1LW7a5xEvvr2JOxqqX/e1Gb7GGJNAcUv7GGOM6QUL/sYYk0AW/I0xJoEs+BtjTAJZ8DfGmASy4G+MMQlkwd8YYxLIgr8xxiTQ/wMA5e+9WoVspQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#vazene funkce (hlavni faktory)\n", "#prinfuncz=vecs10.T.dot(np.eye(10)/np.sqrt(eig10)).dot(renfunc[:10])\n", "prinfuncw=((np.eye(10)/np.sqrt(eig10)).dot(prinfunc))\n", "ix=np.r_[:100]\n", "[pl.plot(ix,prinfuncw[:4][i]) for i in range(4)]\n", "(prinfuncw**2).sum(1) #normalizovany rozptyl" ] }, { "cell_type": "code", "execution_count": 243, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], dtype=int64)" ] }, "execution_count": 243, "metadata": {}, "output_type": "execute_result" } ], "source": [ "selsrt=np.argsort(eig10)[::-1]\n", "selsrt" ] }, { "cell_type": "code", "execution_count": 176, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[[],\n", " [],\n", " [],\n", " []]" ] }, "execution_count": 176, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "[pl.plot(z+i*0.5) for i,z in enumerate(zca.components_)]" ] }, { "cell_type": "code", "execution_count": 152, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ True, True, True, True],\n", " [ True, True, True, True],\n", " [ True, True, True, True],\n", " [ True, True, True, True]])" ] }, "execution_count": 152, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.isclose(np.corrcoef(zca.components_),np.eye(4))" ] }, { "cell_type": "code", "execution_count": 155, "metadata": {}, "outputs": [], "source": [ "pok=zca.transform(renfunc4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "jina sada (vetsi rozptyl)" ] }, { "cell_type": "code", "execution_count": 252, "metadata": {}, "outputs": [], "source": [ "allparsb=np.array([np.random.normal(a,0.8*abs(a),size=nmeas) for a in [3,-1,1.5,2,3.1]])\n", "testfuncb=allparsb.T.dot(fun)\n", "for i in range(len(testfuncb)):\n", " testfuncb[i]+=np.random.normal(0,0.3,size=len(x))\n" ] }, { "cell_type": "code", "execution_count": 253, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([7.17639155, 1.31621008, 0.99361766, 0.26815905, 0.09653689,\n", " 0.06328717, 0.03720114, 0.0101432 , 0.01857632, 0.01987694])" ] }, "execution_count": 253, "metadata": {}, "output_type": "execute_result" } ], "source": [ "renfuncb=testfuncb-testfuncb.mean(1)[:,np.newaxis]\n", "renfuncb/=np.sqrt((renfuncb**2).sum(1))[:,np.newaxis]\n", "#renfunc*=(len(x)-1)\n", "cormat10b=renfuncb[:10].dot(renfuncb[:10].T)\n", "eig10b,vecs10b=np.linalg.eig(cormat10b)\n", "eig10b" ] }, { "cell_type": "code", "execution_count": 247, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([8.59500793, 0.99575257, 0.15153533, 0.08263844, 0.05394354,\n", " 0.03659283, 0.02871133, 0.02259443, 0.01911106, 0.01411255])" ] }, "execution_count": 247, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eig10" ] }, { "cell_type": "code", "execution_count": 254, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[[],\n", " [],\n", " [],\n", " []]" ] }, "execution_count": 254, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "prinfuncb=vecs10b.T.dot(renfuncb[:10])\n", "[pl.plot(p) for p in prinfuncb[:4]]" ] }, { "cell_type": "code", "execution_count": 251, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.97880204, 1.42064981, 0.68482739, 1.27804085, 1.55743719,\n", " 1.3707569 , 1.15159393, 1.08757574, 0.98514387, 0.87712246])" ] }, "execution_count": 251, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(eig10/eig10.sum())/(eig[:10]/eig.sum())" ] }, { "cell_type": "code", "execution_count": 256, "metadata": {}, "outputs": [], "source": [ "def regen(shift=0,fluct=0.4,noise=0.3,mabs=False,nmeas=10):\n", " allparsb=np.array([np.random.normal(a+shift,fluct*abs(a),size=nmeas) for a in [3,-1,1.5,2,3.1]])\n", " if mabs: allparsb=abs(allparsb)\n", " testfuncb=allparsb.T.dot(fun)\n", " for i in range(len(testfuncb)):\n", " testfuncb[i]+=np.random.normal(0,noise,size=len(x))\n", " renfuncb=testfuncb-testfuncb.mean(1)[:,np.newaxis]\n", " renfuncb/=np.sqrt((renfuncb**2).sum(1))[:,np.newaxis]\n", " #renfunc*=(len(x)-1)\n", " cormat10b=renfuncb.dot(renfuncb.T)\n", " eig10b,vecs10b=np.linalg.eig(cormat10b)\n", " return eig10b,vecs10b.T.dot(renfuncb)\n", "eigc,princ=regen(-2,0.8,mabs=True)" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }