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Julia/Limit of series - Experiment 1 BigFloat.ipynb
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# ある種の級数の極限を調べよう"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# 後でグラフを描く準備\n\nusing PyPlot",
"execution_count": 1,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# パラメーター\n\n@show const a = big\"0.8\"\n@show const atitle = Float64(a)\n@show const n = 1200\n\n@show const bigzero = big\"0.0\"\n@show const bigone = big\"1.0\"\n@show const bigten = big\"10.0\"\n\n# 級数を準備\n\n@show x = bigone - bigten^(-77)\n@show typeof(x)\n[(-1)^k*x^(2^(k^a)) for k in 0:n if 0.0 < abs(x^(2^(k^a))) < 1.0]",
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"text": "const a = @big_str(\"0.8\") = 8.000000000000000000000000000000000000000000000000000000000000000000000000000017e-01\nconst atitle = Float64(a) = 0.8\nconst n = 1200 = 1200\nconst bigzero = @big_str(\"0.0\") = 0.000000000000000000000000000000000000000000000000000000000000000000000000000000\nconst bigone = @big_str(\"1.0\") = 1.000000000000000000000000000000000000000000000000000000000000000000000000000000\nconst bigten = @big_str(\"10.0\") = 1.000000000000000000000000000000000000000000000000000000000000000000000000000000e+01\nx = bigone - bigten ^ -77 = 9.999999999999999999999999999999999999999999999999999999999999999999999999999914e-01\ntypeof(x) = BigFloat\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 2,
"data": {
"text/plain": "1174-element Array{BigFloat,1}:\n 9.999999999999999999999999999999999999999999999999999999999999999999999999999914e-01 \n -9.999999999999999999999999999999999999999999999999999999999999999999999999999827e-01 \n 9.999999999999999999999999999999999999999999999999999999999999999999999999999741e-01 \n -9.999999999999999999999999999999999999999999999999999999999999999999999999999568e-01 \n 9.999999999999999999999999999999999999999999999999999999999999999999999999999309e-01 \n -9.999999999999999999999999999999999999999999999999999999999999999999999999998964e-01 \n 9.999999999999999999999999999999999999999999999999999999999999999999999999998445e-01 \n -9.999999999999999999999999999999999999999999999999999999999999999999999999997668e-01 \n 9.999999999999999999999999999999999999999999999999999999999999999999999999996632e-01 \n -9.999999999999999999999999999999999999999999999999999999999999999999999999995164e-01 \n 9.999999999999999999999999999999999999999999999999999999999999999999999999993177e-01 \n -9.999999999999999999999999999999999999999999999999999999999999999999999999990327e-01 \n 9.999999999999999999999999999999999999999999999999999999999999999999999999986355e-01 \n ⋮ \n 2.018434872126718778023069203529980869628520330155699249165576817847978415320506e-69161893 \n -2.54393056541720305822201577760996611797515460718143456621898878131394598031405e-79170718 \n 5.404781405278926255037069951205188326202533725028026597473928235926547803869998e-90625873 \n -2.207656663703997534621783516505526395177135212073609142486619896492450447136117e-103736057\n 1.231748560532484099544040869874568505127378238331309055027244642717847264843376e-118740042\n -8.524319961110810500609737659766056922370508415690212019181330982824848313300455e-135910998\n 3.987684924351359021789295787929871179304197914051622285325785845878328506993332e-155561438\n -2.877936946647162896938464931107597302415534410415976135451453237548944257226145e-178048884\n 3.439819699361590949181201467137660692316998621473566227329425545242245307388252e-203782334\n -1.668283294073902688292122544731892657405713086606697145689955673129068338154875e-233229664\n 2.085602154187829098607644200462827643993837128092108577475883414593818545686214e-266926094\n -1.318475247755674953134456843812700599856106556911505452661739803362229312525051e-305483864"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# 級数の計算 (n まで和を取る)\n\nftitle = \"\\$f(x)=x^{2^{0^{$atitle}}}-x^{2^{1^{$atitle}}}+x^{2^{2^{$atitle}}}-x^{2^{3^{$atitle}}}+\\\\cdots\\$\"\n@show ftitle\n\nf(x::BigFloat) = sum([(-1)^k*x^(2^(k^a)) for k in 0:n if bigzero < abs(x^(2^(k^a))) < bigone])",
"execution_count": 3,
"outputs": [
{
"output_type": "stream",
"text": "ftitle = \"\\$f(x)=x^{2^{0^{0.8}}}-x^{2^{1^{0.8}}}+x^{2^{2^{0.8}}}-x^{2^{3^{0.8}}}+\\\\cdots\\$\"\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 3,
"data": {
"text/plain": "f (generic function with 1 method)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# x=0~1でのグラフ\n\nx = [linspace(bigzero,bigone-bigten^(-77),400);]\n@time plot(x, f.(x))\ntitle(ftitle, fontsize=16)\nxlabel(\"\\$x\\$\", fontsize=12)\nylabel(\"\\$f(x)\\$\", fontsize=12)",
"execution_count": 4,
"outputs": [
{
"output_type": "stream",
"text": " ",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000024507780>)",
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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": "25.568485 seconds (51.10 M allocations: 1.752 GiB, 0.93% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 4,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x000000002474EBE0>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# x=1 の近くの様子\n\nx = [linspace(bigone-bigten^(-3),bigone-bigten^(-77),400);]\n@time plot(x, f.(x))\ntitle(ftitle, fontsize=16)\nxlabel(\"\\$x\\$\", fontsize=12)\nylabel(\"\\$f(x)\\$\", fontsize=12)",
"execution_count": 5,
"outputs": [
{
"output_type": "stream",
"text": " ",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000029531978>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": "27.810294 seconds (55.87 M allocations: 1.959 GiB, 0.89% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 5,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x000000002A5E6940>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# x=1 の近くの様子\n\nx = [linspace(bigone-bigten^(-4),bigone-bigten^(-77),400);]\n@time plot(x, f.(x))\ntitle(\" \"*ftitle, fontsize=14)\nxlabel(\"\\$x\\$\", fontsize=12)\nylabel(\"\\$f(x)\\$\", fontsize=12)",
"execution_count": 6,
"outputs": [
{
"output_type": "stream",
"text": " ",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002AA1E908>)",
"image/png": 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OO+9s5uyIiKg2nMjXBnh6esLT09P43sXFBW3atEFwcLBJ3EcffYQZM2YY3589exZxcXFYsWIFoqOjb9qORqMBABw5cgS7d+/GO++8c0OMl5cXAGDz5s04f/48BgwYcEOMj48PAOCzzz6Ds7Mz+vbtCwCIiorCN998g8DAQDg61vyr6e3tbZy8kpquqc8XBgUF4a9//WvzJENERPXGAs6O+Pv7m7xv0aIFAODOO+9Eu3btjNtDQkIwa9YsDBw4EACwatUqeHt7w9/fH7m5uRg/fjzi4+PRr18/4z6LFy9Gly5d4O3tjfT0dIwfPx4TJ05E586djTEff/wx7rvvPrRo0QKbNm3CpEmTMHv2bOOSTuPGjcOiRYuQmJiIyZMnw9PTE0ePHsXy5cvxz3/+Ew4ODg3u88mTJ1FcXIyTJ09Cr9cbVycIDg429p+IiMjasICjGxw+fBhardb4/ty5c0hKSkJhYSH8/Pzw3HPPYfr06TfsM23aNBQXFyMwMBBvvPEGJk6caBKza9cuJCcn4/LlywgJCcGnn36KYcOGGT9v27YtduzYgSlTpqBfv36oqqpCQEAAHnnkEZPRqw3x5ptvmnw1fH1eNFtbE4+IiOwLn4EjIiIisjIchUpERERkZfgVqhUzGAw4e/YsWrZsaTKylIiIiCyXiKCsrAxt27Zt9CNCLOCs2NmzZ9G+fXtzp0FERESNcOrUKZNBhA3BAs6KtWzZEsC1XwB3d3czZ0NERET1UVpaivbt2xuv443BAs6KXf/a1N3dnQUcERGRlWnK408cxEBERERkZVjAEREREVkZFnBEREREVoYFHBEREZGVYQFHREREZGVYwBERERFZGRZwRERERFaGBRwRERGRlWEBR0RERGRlWMARERERWRmLLeBSUlIQGBgIZ2dnREdHY9euXXXGb9myBVFRUVCr1QgODsaSJUtuiFm1ahVCQkLg7OyMbt26Yf369Q1u99tvv0W/fv3QunVrKBQKZGdn33CMyspKjBs3Dq1bt0aLFi3w1FNPobCw0CSmuLgYQ4YMgbu7Ozw8PDBy5Ehcvny5HmeGiIiI7J1FFnArVqxAUlISkpOTsWfPHoSHhyMuLg7nz5+vMf748ePo378/evfujezsbEyYMAEvvPACNm7caIzZuXMnEhMTMXLkSGRlZSE+Ph7x8fHYt29fg9otLy9Hz5498e6779aa/8SJE7F27VqsWrUKW7duxdmzZ/Hkk0+axAwZMgT79+/Hpk2b8MMPP+Dnn3/GqFGjGnvKiIiIyJ6IBerRo4eMGzfO+F6v10vbtm1l1qxZNcZPnjxZQkNDTbYNHjxY4uLijO8TEhKkf//+JjHR0dEyevToRrV7/PhxASBZWVkm20tKSsTJyUlWrVpl3Hbw4EEBIOnp6SIicuDAAQEgv/76qzHmxx9/FIVCIWfOnKmxjzXRarUCQLRabb33ISIiopu7UqWTn387f0uO3RzXb4u7A1ddXY3MzEzExsYatymVSsTGxiI9Pb3GfdLT003iASAuLs4k/mYxjWm3JpmZmbh69arJcUJCQuDv7288Tnp6Ojw8PHD33XcbY2JjY6FUKpGRkVHrsauqqlBaWmryIiIiouZ1vrQSz/wjHX9e/Ct2HC0ydzo1srgCrqioCHq9Hj4+PibbfXx8UFBQUOM+BQUFNcaXlpaioqKizpjrx2xMu7XlolKp4OHhUetxCgoK0KZNG5PPHR0d4enpWWdbs2bNgkajMb7at29f77yIiIjo5lZnncGj87dh72ktWjo7wsnB4kolABZYwFHtpk2bBq1Wa3ydOnXK3CkRERHZBJ3egLn/OYwJK7JxsbwanXxa4LuX7kePDp7mTq1GjuZO4I+8vLzg4OBww6jNwsJC+Pr61riPr69vjfHu7u5wcXGpM+b6MRvTbm25VFdXo6SkxOQu3O+P4+vre8OADJ1Oh+Li4jrbUqvVUKvV9c6FiIiIbu7o+csYvWw38i6UAwDG9b4T4x/uBJWj5d7nsrjMVCoVunfvjtTUVOM2g8GA1NRUxMTE1LhPTEyMSTwAbNq0yST+ZjGNabcm3bt3h5OTk8lxDh8+jJMnTxqPExMTg5KSEmRmZhpjNm/eDIPBgOjo6Hq3RURERI1XpdNj+a6TeOYf6ci7UI5Wrk547+kwTIoLsejiDYBljkJdvny5qNVqWbJkiRw4cEBGjRolHh4eUlBQICIiU6dOlWHDhhnjjx07Jq6urjJp0iQ5ePCgpKSkiIODg2zYsMEYs2PHDnF0dJQ5c+bIwYMHJTk5WZycnCQ3N7fe7YqIXLx4UbKysmTdunUCQJYvXy5ZWVly7tw5Y8yYMWPE399fNm/eLLt375aYmBiJiYkx6eMjjzwikZGRkpGRIdu3b5eOHTtKYmJig84TR6ESERE1TlnlVRn86U4JmPKDBEz5Qf40/2e5eLnqtrTdHNdviyzgREQWLFgg/v7+olKppEePHvLLL78YPxs+fLj06tXLJD4tLU0iIiJEpVJJUFCQLF68+IZjrly5Ujp16iQqlUpCQ0Nl3bp1DWpXRGTx4sUC4IZXcnKyMaaiokJeeukladWqlbi6usrAgQNNCjyRa4VgYmKitGjRQtzd3eXPf/6zlJWVNegcsYAjIiJquJIr1TIwZbsETPlBQt/cIH/fclTKKq/etvab4/qtEBEx190/aprS0lJoNBpotVq4u7ubOx0iIiKLptMb8G3WGcz/6QjOlFRA4+KEpSN6ILy9x813bkbNcf22uEEMRERERM3tTEkFRiz+FYcLywAAvu7O+Oz5e3BXW+u8AcICjoiIiGza8aJyDP1nBs6UVKCVqxNeeigYQ+8NgIvKwdypNRoLOCIiIrJZ+89qMfyzX1F0uQpB3m748oVo+GlczJ1Wk7GAIyIiIpujNwiW/3oSf1t3EFeq9eji545lI3vAq4VtzKfKAo6IiIhsSnreRbz9wwEcPHdtzfD7g1vjkyHdoXFxMnNmzYcFHBEREdmEkivVeHPNfny/9ywAwN3ZERNiO2FYTIDFrmnaWCzgiIiIyOodPV+G4Z/9ijMlFVAqgGej/ZHUtzM83VTmTu2WYAFHREREVi3zxCWM/PxXlFy5ioDWrpj/TCQibvPcbrcbCzgiIiKyWqkHCzHuqz2ovGpARHsPfPb8PTZ71+33WMARERGR1RERLPvlBN5aewB6g6B3Z2+kDImCq8o+Shv76CURERHZjGqdAcnf78PXu04BAAZ1b4eZT3azuYEKdWEBR0RERFZj3xktJv87BwfOlUKhAKY9GoIXHwiCQqEwd2q3FQs4IiIisnhXqnWYn3oE/9x2HHqDwMPVCfMSItA7pI25UzMLFnBERERksUQE/zlQiLe+34+z2koAwGNhfkh+PBTeLW1jVYXGYAFHREREFqmwtBL/920uUg+dBwC0a+WCtwaE4uEuPmbOzPxYwBEREZHFSTt8Hq+v3IuL5dVwclBg9IN3YlzvYLioHMydmkVgAUdEREQWQ0Qw76cj+Cj1CADgLj93fJQYgeA2Lc2cmWVhAUdEREQWofKqHpP/nWNcy3R4TACm/akLnJ141+2PWMARERGR2V28XIVRyzKReeISHJUKzBzYDQn3tDd3WhaLBRwRERGZ1dHzlzFiya84WXwF7s6OWDisO+6708vcaVk0FnBERERkNjvzijBmWSZKK3Xw93TFZ8/fg+A2LcydlsVjAUdERERmsWr3KUz7Nhc6gyDK3wOLnrsbrVvY79xuDcECjoiIiG6rKp0es9YfwpKd+QCuTcw7Z1A4Bys0AAs4IiIium1OXryCl7/eg5zTWgDAy72DkdS3E5RK+1rLtKlYwBEREdEtJyL4Iecc/u+7XJRV6uDh6oS5CeHoE8JVFRqDBRwRERHdUoWllfjL6n3YdKAQABDl74GPn41CWw8XM2dmvVjAERER0S0hIljx6yn8bf1BlFXq4OSgwEsPBePlPsFwclCaOz2rxgKOiIiImt2Ji+WY+k0u0o9dBACEt/fAe0+FobMvl8RqDizgiIiIqNkYDIIlO/Px3sZDqLxqgLOTEq/364w/398BDhyo0GxYwBEREVGzOHnxCl7/917sOl4MAIgJao3ZT3VDQGs3M2dme1jAERERUZOICL7edQoz1h3AlWo9XFUO+L8/dcGQaH8oFLzrdiuwgCMiIqJGK6u8imnf5uKHnHMAgHuDPPH+0+Fo7+lq5sxsGws4IiIiapR9Z7R4+as9yL94BY5KBSbFdcaLDwRxUt7bgAUcERERNdi3e05j6re5qNYZcIeHCxY8G4ko/1bmTstusIAjIiKietMbBO9tOIRPfz4GAHg4pA0+SAiHh6vKzJnZFxZwREREVC+llVcx/usspB2+AIDrmJoTCzgiIiK6qfyicrywdDeOnr8MtaMS7w8Kx4DwtuZOy26xgCMiIqI67ThahJe+3ANtxVX4ujvjH891R1g7D3OnZddYwBEREVGNRARL00/g7R8OQG8QRLT3wD+GdUcbd2dzp2b3WMARERHRDap1BiR/vx9f7zoJAHgy8g7MfLIbnJ0czJwZASzgiIiI6A+Ky6sx9otMZBwvhkIBTH0kBKMeDOKqChaEBRwREREZHS4owwtLf8Wp4gq0UDvio8QI9AnxMXda9Acs4IiIiAgAsGHfOby2ci/Kq/UIaO2Kfz53Nzr6tDR3WlQDFnBERER2rlpnwKwfD2LxjnwAQExQa3wyJAqt3Dg5r6ViAUdERGTHzpRUYNyXe5B9qgQAMLpXEF7v1xlODkozZ0Z1YQFHRERkpzYfKkTSyr0ouXIV7s6O+CAhAn3v4vNu1oAFHBERkZ0pr9Lhb+sP4quMa1OEhLXTIOXZKLT3dDVzZlRfLOCIiIjsyK7jxXhtVTZOFVcAAP58fyCmPhoCtSPnd7MmLOCIiIjsQOVVPeZu+g2Lth2DCHCHhwvefzoM9wV7mTs1agQWcERERDYu97QWSSuzceT8ZQDAoO7tMP3xu+Du7GTmzKixWMARERHZqKt6A1LSjuLjzUehMwi8Wqgx+8luiOVABatnsWOEU1JSEBgYCGdnZ0RHR2PXrl11xm/ZsgVRUVFQq9UIDg7GkiVLbohZtWoVQkJC4OzsjG7dumH9+vUNbldE8Oabb8LPzw8uLi6IjY3FkSNHTGLy8vIwcOBAeHt7w93dHQkJCSgsLDSJCQwMhEKhMHnNnj27nmeHiIiobkcKy/DkJzvx4U9HoDMI+nfzw38mPsjizUZYZAG3YsUKJCUlITk5GXv27EF4eDji4uJw/vz5GuOPHz+O/v37o3fv3sjOzsaECRPwwgsvYOPGjcaYnTt3IjExESNHjkRWVhbi4+MRHx+Pffv2Najd9957Dx999BEWLlyIjIwMuLm5IS4uDpWVlQCA8vJy9OvXDwqFAps3b8aOHTtQXV2Nxx9/HAaDwSTvt99+G+fOnTO+XnnlleY8jUREZIcMBsE/tx1D/wXbkXtGC42LE+Y/E4GPn42EJyfmtR1igXr06CHjxo0zvtfr9dK2bVuZNWtWjfGTJ0+W0NBQk22DBw+WuLg44/uEhATp37+/SUx0dLSMHj263u0aDAbx9fWV999/3xhTUlIiarVavv76axER2bhxoyiVStFqtSYxCoVCNm3aZNwWEBAg8+bNu/nJqINWqxUAJm0REZH9OnmxXAYt3CkBU36QgCk/yHP/ypACbYW506I/aI7rt8XdgauurkZmZiZiY2ON25RKJWJjY5Genl7jPunp6SbxABAXF2cSf7OY+rR7/PhxFBQUmMRoNBpER0cbY6qqqqBQKKBWq40xzs7OUCqV2L59u0n7s2fPRuvWrREZGYn3338fOp2uznNTVVWF0tJSkxcREZGIYNXuU3h0/jbsOl4MV5UDZg7shiV/vgc+7s7mTo9uAYsr4IqKiqDX6+HjY/odvY+PDwoKCmrcp6CgoMb40tJSVFRU1Blz/Zj1aff6n3XF3HvvvXBzc8OUKVNw5coVlJeX4/XXX4der8e5c+eM+7z66qtYvnw50tLSMHr0aMycOROTJ08O9X6IAAAgAElEQVSu89zMmjULGo3G+Grfvn2d8UREZPuKy6sx9os9mPTvHFyu0uHugFbYMP5BPBvtD4VCYe706BaxuALO2nl7e2PVqlVYu3YtWrRoAY1Gg5KSEkRFRUGp/N/pTkpKwkMPPYSwsDCMGTMGc+fOxYIFC1BVVVXrsadNmwatVmt8nTp16nZ0iYiILFTaofPoN+9nbNhfACcHBSY/0hkrRsfAvzVXVLB1FjeNiJeXFxwcHG4YtVlYWAhfX98a9/H19a0x3t3dHS4uLnXGXD9mfdq9/mdhYSH8/PxMYiIiIozv+/Xrh7y8PBQVFcHR0REeHh7w9fVFUFBQrf3u0aMHdDod8vPz0blz5xpj1Gq1yVezRERknyqv6jFz/UEsTT8BAOjYpgXmDY5A1zs0Zs6MbheLuwOnUqnQvXt3pKamGrcZDAakpqYiJiamxn1iYmJM4gFg06ZNJvE3i6lPux06dICvr69JTGlpKTIyMmrMzcvLCx4eHti8eTPOnz+PAQMG1Nrv7OxsKJVKtGnTptYYIiKi40XlePKTncbibcT9HbD2lZ4s3uxN842paD7Lly8XtVotS5YskQMHDsioUaPEw8NDCgoKRERk6tSpMmzYMGP8sWPHxNXVVSZNmiQHDx6UlJQUcXBwkA0bNhhjduzYIY6OjjJnzhw5ePCgJCcni5OTk+Tm5ta7XRGR2bNni4eHh6xZs0ZycnLkiSeekA4dOkhFxf9G+Xz22WeSnp4uR48elWXLlomnp6ckJSUZP9+5c6fMmzdPsrOzJS8vT7744gvx9vaW5557rkHniaNQiYjsy+qs03LX9B8lYMoPEvX2f2TL4fPmTokaoTmu3xZZwImILFiwQPz9/UWlUkmPHj3kl19+MX42fPhw6dWrl0l8WlqaREREiEqlkqCgIFm8ePENx1y5cqV06tRJVCqVhIaGyrp16xrUrsi1qUSmT58uPj4+olar5eGHH5bDhw+bxEyZMkV8fHzEyclJOnbsKB988IEYDAbj55mZmRIdHS0ajUacnZ2lS5cuMnPmTKmsrGzQOWIBR0RkHyqqdTL1mxzj9CAJC3dyehAr1hzXb4WIiHnvAVJjlZaWQqPRQKvVwt3d3dzpEBHRLXDswmW89OUeHCoog0IBvNI7GK8+3BGODhb3FBTVU3Ncvy1uEAMRERFdk3qwEBOWZ6OsSgevFip8ODgSPTt6mTstsgAs4IiIiCyMwSD4OO0o5v30G0SAuwNa4ZMhUWjDSXnpv1jAERERWZDLVTokrcjGfw5cm9Zq6L3+ePOxUKgc+ZUp/Q8LOCIiIgtx7MJljFqWiaPnL0PloMQ78aEYfI+/udMiC8QCjoiIyAL8/nk3H3c1Fg7tjkj/VuZOiywUCzgiIiIzqvF5t6FRaNOSz7tR7VjAERERmQmfd6PGYgFHRERkBnzejZqCBRwREdFtlnboPF5dnoWySj7vRo3DAo6IiOg2ERF8siUPc/5zGCJA94BW+Dufd6NGYAFHRER0G5RX6TDp33uxPrcAAPBstD/++jifd6PGYQFHRER0i528eAWjlu3GoYIyODko8NcBoRgSHWDutMiKsYAjIiK6hbYduYCXv8qCtuIqvFuq8fchUbg70NPcaZGVYwFHRER0C4gIFm07htk/HoJBgPD2Hvh0aHf4avi8GzUdCzgiIqJmVl6lw9Rvc7F271kAwKDu7fBOfFc4OzmYOTOyFSzgiIiImtGRwjKM+SITeRfK4ahUYPpjd+G5mAAoFApzp0Y2hAUcERFRM1mTfQZTv8lFxVU9fNzVSHmWz7vRrcECjoiIqImqdHq888MBfPHLSQDA/cGtMf+ZSHi1UJs5M7JVLOCIiIia4FTxFYz7ag9yTmsBAK/0CcaE2E5wUPIrU7p1WMARERE10sb9BZj87xxoK67Cw9UJ8wZHoHfnNuZOi+wACzgiIqIGKq/S4e21B7Bi9ykAQHg7DVKGRKFdK1czZ0b2ggUcERFRA2SdvISJK7KRf/EKFApg1INBSOrbCWpHThFCtw8LOCIionrQ6Q1IScvDR5uPQG8Q+Gmc8UFCOO6708vcqZEdYgFHRER0EycvXsGEFVnYc7IEAPB4eFvMeKIrNK5OZs6M7BULOCIiolqICP6deRp//X4/yqv1aKl2xNvxoYiPuIMT85JZsYAjIiKqQcmVavzfd7lYn1sAALgnsBXmJkSgvScHKpD5sYAjIiL6g+1HivDaqmwUllbBUanAxL6dMKbXnZzbjSwGCzgiIqL/qryqx5yNh/HP7ccBAEFebvjwmQiEtfMwc2ZEpljAERERAThcUIbxy7NwqKAMADAk2h9v9O8CVxUvlWR5+FtJRER2zWAQLNmZj9kbDqFaZ0BrNxXefSoMsXf5mDs1olqxgCMiIrtVWFqJ11ftxbYjRQCA3p298d7T4fBuyUXoybKxgCMiIru0YV8Bpn2bg0tXrkLtqMRf+nfB0HsDOD0IWQUWcEREZFfKq3R4a+1+rNx9GgAQ2tYd85+JQHCblmbOjKj+WMAREZHdyDp5CRNWZOPEf9cxHf3gnUjq2wkqR6W5UyNqEBZwRERk8/64jmlbjTPmDo7AvUGtzZ0aUaOwgCMiIpt24mI5Jq7INq5jOiC8Ld6J7wqNC9cxJevFAo6IiGySiODbPWfw5pp9xnVMZwzsiici7jB3akRNxgKOiIhsTmnlVfzlu334fu9ZAECPQE/MHRyOdq24jinZBhZwRERkU3bnF2P88mycKamAg1KBibEdMfahYK5jSjaFBRwREdkEnd6Aj9OO4qPUIzAI4O/pig+fiUCUfytzp0bU7FjAERGR1TtVfAUTV2Rj94lLAIAnI+/AW0+EoqUzByqQbWIBR0REVu37vWfxxre5KKvSoYXaETPiuyI+kgMVyLaxgCMiIqtUXqXDm2v245s911ZUiPL3wPxnItHekwMVyPaxgCMiIqtzuKAML32ZibwL5VAqgJf7dMSrfYLh6MAVFcg+sIAjIiKrISJYlXkab67Zh8qrBvi6O+OjxEj06OBp7tSIbisWcEREZBWuVOvwl9X78O2eMwCABzt5Y15COFq3UJs5M6LbjwUcERFZvN8Ky/DSl3tw9PxlKBXAa/06Y2yvO6Hk3G5kp1jAERGRRVu1+xSm//cr0zYt1ViQGIloLkJPdo4FHBERWaQr1TpMX/2/UaYPdPTCvMER8OJXpkQs4IiIyPLkXbiMsV9k4rfCa1+ZJvXthJceCuZXpkT/ZbHjrVNSUhAYGAhnZ2dER0dj165ddcZv2bIFUVFRUKvVCA4OxpIlS26IWbVqFUJCQuDs7Ixu3bph/fr1DW5XRPDmm2/Cz88PLi4uiI2NxZEjR0xi8vLyMHDgQHh7e8Pd3R0JCQkoLCw0iSkuLsaQIUPg7u4ODw8PjBw5EpcvX67n2SEisl0b9hXgiY934LfCy/BuqcaXL9yLl/t0ZPFG9DsWWcCtWLECSUlJSE5Oxp49exAeHo64uDicP3++xvjjx4+jf//+6N27N7KzszFhwgS88MIL2LhxozFm586dSExMxMiRI5GVlYX4+HjEx8dj3759DWr3vffew0cffYSFCxciIyMDbm5uiIuLQ2VlJQCgvLwc/fr1g0KhwObNm7Fjxw5UV1fj8ccfh8FgMB5nyJAh2L9/PzZt2oQffvgBP//8M0aNGtXcp5KIyGroDYJ3NxzCmC8ycblKhx4dPLHu1Z6IuZPPuxHdQCxQjx49ZNy4ccb3er1e2rZtK7NmzaoxfvLkyRIaGmqybfDgwRIXF2d8n5CQIP379zeJiY6OltGjR9e7XYPBIL6+vvL+++8bY0pKSkStVsvXX38tIiIbN24UpVIpWq3WJEahUMimTZtEROTAgQMCQH799VdjzI8//igKhULOnDlzk7PzP1qtVgCYtEVEZI0uXq6SIYt+kYApP0jAlB/knbX7pVqnN3daRLdEc1y/Le4OXHV1NTIzMxEbG2vcplQqERsbi/T09Br3SU9PN4kHgLi4OJP4m8XUp93jx4+joKDAJEaj0SA6OtoYU1VVBYVCAbX6fw/ZOjs7Q6lUYvv27cZcPDw8cPfddxtjYmNjoVQqkZGRUeu5qaqqQmlpqcmLiMja5ZwuweMLtmP70SK4qhywIDESf3nsLjhxVQWiWlnc/x1FRUXQ6/Xw8fEx2e7j44OCgoIa9ykoKKgxvrS0FBUVFXXGXD9mfdq9/mddMffeey/c3NwwZcoUXLlyBeXl5Xj99deh1+tx7tw543HatGljcgxHR0d4enrW2kcAmDVrFjQajfHVvn37WmOJiKzBil9P4umF6ThTUoEOXm5YPe5+PB7e1txpEVk8iyvgrJ23tzdWrVqFtWvXokWLFtBoNCgpKUFUVBSUyqad7mnTpkGr1Rpfp06daqasiYhuryqdHtO+zcGUb3JRrTOg710+WPPy/ejk09LcqRFZBYubRsTLywsODg43jNosLCyEr69vjfv4+vrWGO/u7g4XF5c6Y64fsz7tXv+zsLAQfn5+JjERERHG9/369UNeXh6Kiorg6OgIDw8P+Pr6IigoyHicPw7I0Ol0KC4urrWPAKBWq02+miUiskZnSyow9otM7D2thUIBvM5VFYgazOLuwKlUKnTv3h2pqanGbQaDAampqYiJialxn5iYGJN4ANi0aZNJ/M1i6tNuhw4d4OvraxJTWlqKjIyMGnPz8vKCh4cHNm/ejPPnz2PAgAHGXEpKSpCZmWmM3bx5MwwGA6Kjo+s+QUREVmzn0SI8tmA79p7WwsPVCUv+3APjenN+N6IGa8ZBFc1m+fLlolarZcmSJXLgwAEZNWqUeHh4SEFBgYiITJ06VYYNG2aMP3bsmLi6usqkSZPk4MGDkpKSIg4ODrJhwwZjzI4dO8TR0VHmzJkjBw8elOTkZHFycpLc3Nx6tysiMnv2bPHw8JA1a9ZITk6OPPHEE9KhQwepqKgwxnz22WeSnp4uR48elWXLlomnp6ckJSWZ9PGRRx6RyMhIycjIkO3bt0vHjh0lMTGxQeeJo1CJyFoYDAb5+5aj0mHqtVGmf5r/s5y8WG7utIjMojmu3xZZwImILFiwQPz9/UWlUkmPHj3kl19+MX42fPhw6dWrl0l8WlqaREREiEqlkqCgIFm8ePENx1y5cqV06tRJVCqVhIaGyrp16xrUrsi1v4SmT58uPj4+olar5eGHH5bDhw+bxEyZMkV8fHzEyclJOnbsKB988IEYDAaTmIsXL0piYqK0aNFC3N3d5c9//rOUlZU16ByxgCMia1BWeVXGLNttnCLktZXZUlGtM3daRGbTHNdvhYiIee8BUmOVlpZCo9FAq9XC3d3d3OkQEd3g6PnLGL1sN/IulMPJQYHkx0MxJNofCgW/MiX71RzXb4sbxEBERLZhw75zeG3lXpRX6+Hr7oxPhkYhyr+VudMisgks4IiIqFnp9AbM+c9vWLg1DwBwb5AnFiRGwbslR9ETNRcWcERE1GyKy6vx6tdZ2H60CADwQs8OmPpoCBy5qgJRs2IBR0REzSL3tBZjvsjEmZIKuKoc8O5TYVxVgegWYQFHRERNtnL3Kfxl9T5U6wwIbO2KT4fdjc6+XFWB6FZhAUdERI1WrTPgrbX78WXGSQBAbJc2+CAhAhoXJzNnRmTbWMAREVGjFGgrMfbLTGSdLIFCAUyM7YSXuaoC0W3BAo6IiBos49hFjPtqD4ouV8Pd2RHzEyPRu3Mbc6dFZDdYwBERUb2JCBbvyMff1h+E3iAI8W2JT4d1R0BrN3OnRmRXWMAREVG9XKnWYdq3uViTfRYA8EREW8x+MgwuKgczZ0Zkf1jAERHRTZ24WI7RyzJxqKAMjkoF3ujfBc/fF8glsYjMhAUcERHVafOhQkxYno3SSh28WqiR8mwkooNamzstIrvGAo6IiGqk0xsw76ffkJJ2bUmsSH8P/H1Id/hqnM2cGRGxgCMiohucL6vE+K+zkX7sIgBgeEwA3uh/F1SOXBKLyBKwgCMiIhMZxy7ila+zcL6sCm4qB8zmklhEFocFHBERAbg2RcinPx/D+xsPQ28QdPJpgU+GdEdwmxbmTo2I/oAFHBERQVtxFa+t3IufDhYCAAZG3oG/DewKVxUvE0SWiP9nEhHZuX1ntBj7ZSZOFVdA5aDEXweEIrFHe04RQmTBWMAREdkpEcHXu07hr2v3o1pnQHtPF3zybHd0a6cxd2pEdBMs4IiI7FB5lQ7TV+/Dt1lnAACxXdrgg0ER0Lg6mTkzIqoPFnBERHZm/1ktXvkqC8eKyqFUAJPiQjD6wSAolfzKlMhasIAjIrITIoJlv5zAjHUHUa0zwE/jjI8SI3FPoKe5UyOiBmIBR0RkB7QVVzHl3znYsL8AAPBwSBvMGRSOVm4qM2dGRI3BAo6IyMbtOXkJr3yVhTMlFXByUGDqo10w4n4uRE9kzVjAERHZKINBsGjbtYl5dQaBv6crPn42EmHtPMydGhE1UbMVcJWVlVAoFFCr1c11SCIiaqSLl6vw2qq92HL4AgDgsTA/zHyyG9ydOcqUyBY0uoDbsmUL1qxZgx07duDAgQOoqKgAALi6uqJLly647777EB8fj4ceeqi5ciUionpIz7uICSuyUFhaBbXjtYl5n7mHE/MS2RKFiEh9g69evYpPP/0Uc+fORX5+Pjw9PREVFYWgoCC0atUKIoJLly7h+PHj2LNnD4qLixEQEIDXXnsNo0ePhpMT/+XXnEpLS6HRaKDVauHu7m7udIjIzHR6Az5OO4qPUo/AIEBwmxb4+NlIhPjy7wciS9Ic1+8GFXABAQGorq7G8OHDkZCQgKioqDrjMzMzsWrVKixduhQqlQr5+fmNSpJqxgKOiK47VXwFE1dkY/eJSwCAhLvb4a8DQrmWKZEFuu0F3Keffornn3++wc+5VVdXY/HixRg9enSDE6TasYAjIgBYk30Gf/luH8qqdGipdsSMgV3xRMQd5k6LiGpx2ws4siws4IjsW1nlVby5Zj++++9yWN0DWuHDwRFo7+lq5syIqC7Ncf1WNiWB1157rSm7ExFRI2WeuIQ/fbQN32WdgVIBTIjtiBWj7mXxRmQnmlTALViwAAMHDjSOQK3JiRMnmtIEERH9jk5vwPyfjiDh03ScKq5Au1YuWDUmBhNiO8HRoUl/pRORFWnS/+3r16/H1q1b8cADD6CgoMDksxMnTmDUqFHo3LlzkxIkIqJrThVfwTP/+AXzfvoNeoMgPqIt1o9/AN0DuJYpkb1p0vCk2NhY7Ny5E4899hjuuecerF27Fq1atcLf/vY3LF26FAqFAiNHjmyuXImI7NYfByq8E98V8ZEcqEBkr5o8vjwkJAS7du1C//790bNnT+h0Ojg4OGDs2LGYPHky/Pz8miNPIiK7xIEKRFSTJhdwp06dwrvvvovs7GxUVVVBoVBg3rx5GDt2bHPkR0RktzJPXMKEFVk4VVwBpQJ49eGOeLl3MJ91I6KmPQP3wgsvoGPHjvjXv/6FF198Efn5+Rg5ciReeeUVzJ49u7lyJCKyKxyoQEQ306Q7cF9++SVefPFFTJs2DW3btgUA/OMf/0DHjh0xbdo0HD58GP/4xz+4hBYRUT39cUWF+Ii2eDu+KxehJyITTSrg8vLyjIXb702aNAkdO3bE0KFDcezYMWzdurUpzRAR2YXfD1RooXbEDA5UIKJaNKmAq6l4uy4+Ph5bt27FgAEDmtIEEZHN40AFImqoW7rKcffu3bFr165b2QQRkVXLPFGMCSuyOVCBiBrklhZwAHDHHbz9T0T0Rzq9ASlpefho8xHoDYJ2rVww/5kITspLRPXSoH/idenSBUuXLkV1dXW996mqqsLixYtx1113NTg5IiJbxBUViKipGnQHbsSIEUhKSsL48eMxYMAAxMbGIioqCh06dICr67VnNcrLy3H8+HHs3r0bP/30E9auXQuVSoVJkybdkg4QEVmT1VlnMH01V1QgoqZRiIjUN7hjx46YO3cu8vLysGTJEuTm5ho/c3S8VgvqdDoAgIiga9euGDFiBEaMGAF3d/dmTp1KS0uh0Wig1Wp5foksXGnlVby5eh9WZ58FwIEKRPasOa7fDboDd+LECZSWlmLChAmYMGEC2rZtizFjxkCn0+HixYsAgNatWyMkJAQxMTHo0KFDo5IiIrIlu/OvDVQ4fYkDFYioeTSogPP39ze561ZQUIDg4GA8++yzzZ4YEZG10+kNWLD5KBZsPgKDAO09XfDhYA5UIKKma1AB9/zzzyM5ORk5OTl44IEHAACXLl26JYkREVmzU8VXMH55FvacLAEAPBl5B956IhQtuaICETWDBj0DJyJISUnBkiVLsHfvXhgMBgCAm5sbQkNDERYWhm7duiEsLAxhYWHw8PC4ZYkTn4EjslTfZZ3G9NX7cfm/AxVmDOyKJyI4UIGIrmmO63eDCrjfq6yshKurK0aPHo3WrVsjJycHe/fuxalTp6BQKABcmwMuPDwca9eubVRyVDcWcESWpbTyKqav3oc1/x2ocE9gK8xN4EAFIjLVHNfvRj9B6+zsjBEjRmDw4MGYMWMGvv/+e5w4cQKXLl3Cli1bMH/+fMTFxeHChQuNOn5KSgoCAwPh7OyM6Ojom67osGXLFkRFRUGtViM4OBhLliy5IWbVqlUICQmBs7MzunXrhvXr1ze4XRHBm2++CT8/P7i4uCA2NhZHjhwxiSkoKMCwYcPg6+sLNzc3REVF4ZtvvjGJCQwMhEKhMHnNnj27nmeHiCzNr/nFePTDbViTfRYOSgWS+nbC1y/ey+KNiG4NsUDLly8XlUoln332mezfv19efPFF8fDwkMLCwhrjjx07Jq6urpKUlCQHDhyQBQsWiIODg2zYsMEYs2PHDnFwcJD33ntPDhw4IH/5y1/EyclJcnNzG9Tu7NmzRaPRyOrVq2Xv3r0yYMAA6dChg1RUVBhj+vbtK/fcc49kZGRIXl6evPPOO6JUKmXPnj3GmICAAHn77bfl3Llzxtfly5cbdJ60Wq0AEK1W26D9iKj5XNXp5YONh6TD1B8kYMoP0vPdVNmdX2zutIjIgjXH9dsiC7gePXrIuHHjjO/1er20bdtWZs2aVWP85MmTJTQ01GTb4MGDJS4uzvg+ISFB+vfvbxITHR0to0ePrne7BoNBfH195f333zfGlJSUiFqtlq+//tq4zc3NTZYuXWrSlqenpyxatMj4PiAgQObNm1f7SagHFnBE5pVfdFniU7ZLwJRrxdvEFVlSWlFt7rSIyMI1x/Xb4iYhqq6uRmZmJmJjY43blEolYmNjkZ6eXuM+6enpJvEAEBcXZxJ/s5j6tHv8+HEUFBSYxGg0GkRHR5u0dd9992HFihUoLi6GwWDA8uXLUVlZiYceesik/dmzZ6N169aIjIzE+++/b5wEuTZVVVUoLS01eRGReazOOoP+H21H1skStHR2xEeJkZibEMFRpkR0W9zyxewbqqioCHq9Hj4+PibbfXx8cOjQoRr3KSgoqDG+tLQUFRUVcHFxqTWmoKCg3u1ej63rOACwcuVKDB48GK1bt4ajoyNcXV3x3XffITg42Bjz6quvIioqCp6enti5cyemTZuGc+fOYe7cubWem1mzZuGtt96q9XMiuvXKq3R4c81+fLPnNIBrAxXmDY5Au1Z81o2Ibh+LK+BswfTp01FSUoKffvoJXl5eWL16NRISErBt2zZ069YNAJCUlGSMDwsLg1qtxqhRozBr1iyo1eoajztt2jST/UpLS9G+fftb2xkiMtp/VotXvsrCsaJy44oKr/TpCAelwtypEZGdsbgCzsvLCw4ODigsLDTZXlhYCF9f3xr38fX1rTHe3d0dLi4udcZcP2Z92r3+Z2FhIfz8/ExiIiIiAAB5eXn4+OOPkZubi65duwIAwsPDsW3bNqSkpGDhwoU19qFHjx7Q6XTIz89H586da4xRq9W1FndEdOuICJbszMes9YdQrTfA190Z85+JQHRQa3OnRkR2yuKegVOpVOjevTtSU1ON2wwGA1JTUxETE1PjPjExMSbxALBp0yaT+JvF1KfdDh06wNfX1ySmtLQUGRkZxpgrV64AABwdTWtjBwcH48THNcnOzoZSqUSbNm1qjSGi2+9SeTVeXLobb609gGq9AbFdfPDj+AdYvBGReTXfmIrms3z5clGr1bJkyRI5cOCAjBo1Sjw8PKSgoEBERKZOnSrDhg0zxl+fRmTSpEly8OBBSUlJqXEaEUdHR5kzZ44cPHhQkpOTa5xGpK52Ra5NI+Lh4SFr1qyRnJwceeKJJ0ymEamurpbg4GB54IEHJCMjQ44ePSpz5swRhUIh69atExGRnTt3yrx58yQ7O1vy8vLkiy++EG9vb3nuuecadJ44CpXo1krPK5Lov/0kAVN+kI7/t14Wbz8mBoPB3GkRkZWz2WlEREQWLFgg/v7+olKppEePHvLLL78YPxs+fLj06tXLJD4tLU0iIiJEpVJJUFCQLF68+IZjrly5Ujp16iQqlUpCQ0ONBVV92xW5NpXI9OnTxcfHR9RqtTz88MNy+PBhk5jffvtNnnzySWnTpo24urpKWFiYybQimZmZEh0dLRqNRpydnaVLly4yc+ZMqaysbNA5YgFHdGvo9AaZ+5/Dxrndes9Jk31nSsydFhHZiOa4fjd6KS0yPy6lRdT8zmkrMH55NnYdLwYAPN29Hd4aEAo3tcU9MkxEVqo5rt/8G4mI6L82HSjEpH/vRcmVq3BTOeBvA7shPpKL0BOR5WEBR0R2r/KqHrN/PIQlO/MBAN3u0GBBYiQCvdzMmxgRUS1YwBGRXcsvKsdLX+7BgXPXVjZ5oWcHTH4kBCpHixukT0RkxAKOiOzWupxzmPJNDi5X6eDppsIHg8LRO4RT+RCR5WMBR0R2p0qnx9/WHcTS9BMAgB6BnvgoMRK+GmczZ0ZEVD8s4IjIrpy4WI5xX+3BvjPXvvzNfuUAACAASURBVDJ96aE7kdS3Exwd+JUpEVkPFnBEZDd+zD2Hyf/OQVmVDq1cnTB3cAR6d+ZXpkRkfVjAEZHNq9LpMWv9/0aZdg9ohQWJkWjr4WLexIiIGokFHBHZtFPFV/DyV3uw97QWADD6wSC8HtcZTvzKlIisGAs4IrJZG/cXYNKqvSit1EHj4oS5CeF4uIuPudMiImoyFnBEZHOqdQa8u+EQ/rX9OAAg0t8DHz8bhTv4lSkR2QgWcERkU05fuoKXv8pC9qkSAJyYl4hsEws4IrIZmw8VYuKKvdBWXIW7syPmDApHv1Bfc6dFRNTsWMARkdXTGwQf/vQbFmw+CgAIb6fBx89Gob2nq5kzIyK6NVjAEZFVKy6vxvjlWdh2pAgA8FzM/7d373FR1mn/wD8zwAwnB0QQ0FAhQg2Vgz6glodWWiwrXU2N1MxMrTTXbD1QKVlrmtpaKputtvK4FSod1DxmntYUUREUBREFMw/gATmoHGeu3x8+zq8JVNCBewY+79drXjX3XHN/r7lQ5uPM3Pe0xrv92kNra6NwZ0REdYcBjoisVupvBXjjq2RcKCyFvZ0acwd2woCQlkq3RURU5xjgiMjqiAi+SjqLD348jgq9wNfdCZ8PD0U7L53SrRER1QsGOCKyKiXlerz7Qxq+TzkPAOgb6IX5gzuhib2dwp0REdUfBjgisho5V27g9a+ScSK3GDZqFab1bYsxPfygUqmUbo2IqF4xwBGRVfjpeC7eXnMExWWVcHfWYsmLIejq10zptoiIFMEAR0QWrVJvwIKfTmLp7tMAgC6tmyJ2WCg8dfYKd0ZEpBwGOCKyWJeLyzAxPgWJ2VcBAK885ovop9vxi+iJqNFjgCMii5T8az7e+Pow8orK4KixwbznO+GZTi2UbouIyCIwwBGRRRERxO07g9kbM1BpEDzs4YQvRnSGf/MmSrdGRGQxGOCIyGLcKKvE9O/T8OORCwCAfp288fGgTnDW8lcVEdHv8bciEVmEU5eu4/WvkpF16Tps1Sq883R7jHqsDU8RQkRUDQY4IlLcprSLmJJwBDfK9fDUaRH7Yii6tHFTui0iIovFAEdEiqnQG/Dx5hNY/ksOAKCrnxsWR4XCo4lW4c6IiCwbAxwRKeJSUSkmfJOCA2fyAQDjevlhyp/bwpanCCEiuicGOCKqd0nZVzEhPgWXi8vgrLXFgsFB6NvBS+m2iIisBgMcEdUbEcHyPTmYu+UE9AZBW88m+Hx4KPw8nJVujYjIqjDAEVG9KC6twNRvj2LzsVwAwIDgFvhoYEc4avhriIiotvibk4jq3Mm8Yrz2VTKyL9+AnY0KM595FMO7tuYpQoiI7hMDHBHVqXWp5zH9uzSUVOjh7WKP2GGhCG3VVOm2iIisGgMcEdWJ8koDPtqUgbh9ZwAAj/u747MXgtHMmacIISJ6UAxwRGR2FwtLMP7rwzh8tgAAMOEJf7z1ZABs1HzLlIjIHBjgiMis9p26gjfjU3D1Rjl09rZYODQYfdp7Kt0WEVGDwgBHRGZhMAiW/vc0FmzNhEGAR711WDq8M1o1c1S6NSKiBocBjogeWGFJBd5ecwQ/Z+QBAAZ3fggfDugAezsbhTsjImqYGOCI6IGkXyjC618n49erN6GxUWNW/0C88D8+PEUIEVEdYoAjovv2bfI5vPtDGsoqDWjp6oDPh4ei00OuSrdFRNTgMcARUa2VVugx68d0xB84CwDo3dYDnw4NhqujRuHOiIgaBwY4IqqV3/Jv4o2vDyPtfCFUKuCtiABMeMIfap4ihIio3jDAEVGN7cq8hEmrU1FwswJNHe3w2Qsh6BngoXRbRESNDgMcEd2T3iBYtD0Li3ZkQQQIesgFscNC8VBTniKEiEgJDHBEdFf5N8oxaXUq/nvyMgBgeNdWmPHMo9Da8hQhRERKYYAjojs68lsB3vj6MM4XlMDeTo2P/tIRA0MfUrotIqJGjwGOiKoQEXxz4CxmrU9Hud6ANs0csXREZ7Tz0indGhERgQGOiP6gpFyPd9em4fvD5wEAkYGemD84CDp7O4U7IyKi2xjgiMgo58oNvP5VMk7kFsNGrcK0vm0xpocfv1WBiMjCMMAREQBg6/Fc/G3NERSXVcLdWYslL4agq18zpdsiIqJqqJVu4E5iY2PRpk0b2NvbIzw8HAcOHLhr/a5duxAaGgqtVgt/f3/ExcVVqUlISEC7du1gb2+Pjh07YtOmTbVeV0Qwc+ZMeHt7w8HBAREREcjKyjKpyc3NxYgRI+Dl5QUnJyeEhobiu+++M6nJz8/HsGHDoNPp4OrqitGjR+P69es1nA6R+VTqDZizOQPj/pOM4rJK/E+bptg48XGGNyIiC2aRAW716tWYPHkyYmJicPjwYQQFBSEyMhKXLl2qtj4nJwf9+vXDE088gdTUVEyaNAmvvvoqtm7daqzZt28foqKiMHr0aKSkpGDAgAEYMGAAjh07Vqt1582bh0WLFmHp0qVISkqCk5MTIiMjUVpaaqx56aWXkJmZifXr1yMtLQ0DBw7EkCFDkJKSYqwZNmwYjh8/jm3btmHDhg3473//i7Fjx5pzjET3dLm4DMO/TMIXu7MBAK8+7otvxnSFp85e4c6IiOiuxAKFhYXJ+PHjjdf1er20aNFC5syZU2391KlTJTAw0GTb0KFDJTIy0nh9yJAh0q9fP5Oa8PBwGTduXI3XNRgM4uXlJfPnzzfWFBQUiFarlfj4eOM2JycnWblypclabm5usmzZMhERSU9PFwBy8OBB4+2bN28WlUol58+fv8NUqiosLBQAUlhYWOP7EN2279QV6fL3bdJ62gZ5dMZm2Xj0gtItERE1CuZ4/ra4V+DKy8uRnJyMiIgI4za1Wo2IiAgkJiZWe5/ExESTegCIjIw0qb9XTU3WzcnJQW5urkmNi4sLwsPDTdbq3r07Vq9ejfz8fBgMBqxatQqlpaXo3bu3sRdXV1d06dLFeJ+IiAio1WokJSXdcTZlZWUoKioyuRDVlsEgiN15CsOW78fl4jIEeDpj3YTH8XRHb6VbIyKiGrK4AHflyhXo9Xp4enqabPf09ERubm6198nNza22vqioCCUlJXetub3Pmqx7+7/36m3NmjWoqKhAs2bNoNVqMW7cOPzwww/w9/c37qd58+Ym+7C1tYWbm9sdHyMAzJkzBy4uLsaLj4/PHWuJqnPtRjle+d+DmL81EwYBBoU+hHXjH4d/c2elWyMiolqwuADXEMyYMQMFBQX4+eefcejQIUyePBlDhgxBWlraA+03OjoahYWFxstvv/1mpo6pMUj+9Rr6LdqDXZmXobVVY96gTvhkSBAcNPxKLCIia2NxpxFxd3eHjY0N8vLyTLbn5eXBy8ur2vt4eXlVW6/T6eDg4HDXmtv7rMm6t/+bl5cHb29vk5rg4GAAwOnTp7FkyRKkpaWhQ4cOAICgoCDs2bMHsbGxWLp0Kby8vKockFFZWYn8/Pw7PkYA0Gq10Gq1d7ydqDoigi9/ycHczSdQaRD4ujvhn8NC0d6b36pARGStLO4VOI1Gg86dO2P79u3GbQaDAdu3b0e3bt2qvU+3bt1M6gFg27ZtJvX3qqnJur6+vvDy8jKpKSoqQlJSkrHm5s2bAG69Jfp7NjY2MBgMxl4KCgqQnJxsvH3Hjh0wGAwIDw+/23iIaqWwpAKvfZWMv2/MQKVB0K+TN9ZPeIzhjYjI2pnvmArzWbVqlWi1WomLi5P09HQZO3asuLq6Sm5uroiITJ8+XUaMGGGsz87OFkdHR5kyZYpkZGRIbGys2NjYyJYtW4w1e/fuFVtbW1mwYIFkZGRITEyM2NnZSVpaWo3XFRGZO3euuLq6yrp16+To0aPSv39/8fX1lZKSEhERKS8vF39/f+nRo4ckJSXJqVOnZMGCBaJSqWTjxo3G/fTt21dCQkIkKSlJfvnlF3nkkUckKiqqVnPiUah0N2nnCqTHxzuk9bQN4v/ORvnffTliMBiUbouIqNEzx/O3RQY4EZHFixdLq1atRKPRSFhYmOzfv99428iRI6VXr14m9Tt37pTg4GDRaDTi5+cnK1asqLLPNWvWSEBAgGg0GgkMDDQJVDVZV+TWqURmzJghnp6eotVqpU+fPpKZmWlSc/LkSRk4cKA0b95cHB0dpVOnTlVOK3L16lWJiooSZ2dn0el0MmrUKCkuLq7VjBjgqDoGg0H+k3hGHnlnk7SetkEem7tdUs9eU7otIiL6P+Z4/laJiCj7GiDdr6KiIri4uKCwsBA6Hd8SI+BGWSXe+SEN61IvAAAi2nvik8FBcHHkF9ETEVkKczx/W9xBDER0fzJzi/HG18k4ffkGv4ieiKiBY4AjagC+TT6H99amobTCAC+dPZa8GIIubdyUbouIiOoIAxyRFSsp1yNm/TGsOXQOANDjEXd8OjQYzZx5uhkiooaMAY7ISp2+fB3jvz6ME7nFUKuASREBGP+EP2zUfMuUiKihY4AjskI/pJzDuz8cw81yPdydNVj0Qgi6+7sr3RYREdUTBjgiK3KzvBIx644jIfnWW6Zd/dzw2Qsh8NTZK9wZERHVJwY4IiuRmVuM8d8cxqlL16FWAX/tE4AJf+JbpkREjREDHJGFExGsPvgbYtYfR1mlAc2baPHZCyHo9nAzpVsjIiKFMMARWbDi0gq8+8MxrD9y68S8vQI88MmQILjzKFMiokaNAY7IQh07X4gJ3xzGmas3YaNWYUpkW4zt4Qc13zIlImr0GOCILIyIYGXir5i9MQPlegNaujpgUVQwOrfmiXmJiOgWBjgiC1J4swJTvzuCrcfzAABPPuqJ+c93gqujRuHOiIjIkjDAEVmIw2ev4c1vUnC+oAR2Niq883R7vNy9Db/LlIiIqmCAI1KYwSBYticb87dmotIgaOXmiCUvhqDTQ65Kt0ZERBaKAY5IQVevl+HthCPYlXkZANCvkzfmDOwInb2dwp0REZElY4AjUsj+7Kv466oU5BWVQWurRsyzgYgK8+FbpkREdE8McET1rFJvwJKdp7BoexYMAjzs4YQlL4aivbdO6daIiMhKMMAR1aPzBSWYtCoFB89cAwAMDG2JD/t3gJOWfxWJiKjm+KxBVE82pV3E9O+Ooqi0Es5aW/x9QAcMCGmpdFtERGSFGOCI6tjN8kp8uCEd8Qd+AwAE+bhi0QvBaN3MSeHOiIjIWjHAEdWh9AtFeDP+ME5fvgGVCni918N468kA2NmolW6NiIisGAMcUR0QEazYewZzN59Aud6A5k20+HRoMLr7uyvdGhERNQAMcERmdvV6GaZ8exQ7TlwCAES0b455zwfBzYlfh0VERObBAEdkRnuyLmPymiO4XFwGja0a7z7dHi91a81zuxERkVkxwBGZQXmlAZ/8lIkv/psNAHikuTMWRYXw3G5ERFQnGOCIHtCZKzcwcVUKjp4rBAAMC2+F9/o9CgeNjcKdERFRQ8UAR/QAvj98DjPWHsONcj1cHOzw8aBO6NvBS+m2iIiogWOAI7oPxaUVmLH2GNamXgAAhPm64dOhwWjh6qBwZ0RE1BgwwBHVUsrZa/jrqlSczb8JG7UKk/o8gjee8IeNmgcqEBFR/WCAI6ohvUGwdPdpLNx2EpUGQUtXByyKCkbn1m5Kt0ZERI0MAxxRDeQVleKt1anYd/oqAOCZTt6Y/ZeOcHGwU7gzIiJqjBjgiO7h5/Q8TPn2CK7drICDnQ1m9Q/E4M4P8dxuRESkGAY4ojsordDjo00ZWJn4KwAgsIUOi6JC8LCHs8KdERFRY8cAR1SNrLxivBmfghO5xQCAVx/3xZS+baG15bndiIhIeQxwRL8jIvg66Sw+3JCOskoD3J01WDA4CL3bNle6NSIiIiMGOKL/U3CzHNO+O4qtx/MAAD0DPPDJ4CB4NNEq3BkREZEpBjgiAPuzr+Kt1am4WFgKOxsVpvVth1ce84Wa53YjIiILxABHjVql3oBF27OweOcpiAB+7k5YFBWCDi1dlG6NiIjojhjgqNH6Lf8mJq1ORfKv1wAAgzs/hPefC4STln8tiIjIsvGZihqlH49cwDs/pKG4tBJNtLb4aGBHPBvUQum2iIiIaoQBjhqVG2WVeH/9cSQknwMAhLZyxWcvhMDHzVHhzoiIiGqOAY4ajWPnCzExPgXZV25ApQImPOGPv/Z5BLY2aqVbIyIiqhUGOGrwDAbBv/fm4OMtJ1ChF3i72GPh0GB09WumdGtERET3hQGOGrTLxWX4W8IR7D55GQAQGeiJjwd1gqujRuHOiIiI7h8DHDVYu09exttrUnHlejm0tmrMfPZRvBjWil9CT0REVo8Bjhqcsko95m/JxPJfcgAA7byaYFFUCAI8myjcGRERkXkwwFGDkn35OiauSsGx80UAgJHdWiP66fawt+OX0BMRUcPBAEcNgoggIfkc3l9/HDfL9WjqaId5zwfhyUc9lW6NiIjI7BjgyOoVlVbg3R+O4ccjFwAA3R9uhn8MCYaXi73CnREREdUNBjiyasm/XsNfV6Xg3LUS2KpVmPznAIzr+TBs+CX0RETUgDHAkVXSGwSf7zqFhT9nQW8Q+Lg5YNELIQhp1VTp1oiIiOqcxZ6CPjY2Fm3atIG9vT3Cw8Nx4MCBu9bv2rULoaGh0Gq18Pf3R1xcXJWahIQEtGvXDvb29ujYsSM2bdpU63VFBDNnzoS3tzccHBwQERGBrKws4+1nzpyBSqWq9pKQkGCsa9OmTZXb586dW8spNU65haUYtnw/Fvx0EnqDoH9wC2ya2IPhjYiIGg2LDHCrV6/G5MmTERMTg8OHDyMoKAiRkZG4dOlStfU5OTno168fnnjiCaSmpmLSpEl49dVXsXXrVmPNvn37EBUVhdGjRyMlJQUDBgzAgAEDcOzYsVqtO2/ePCxatAhLly5FUlISnJycEBkZidLSUgCAj48PLl68aHKZNWsWnJ2d8dRTT5n0/cEHH5jUvfnmm+YcY4O0LT0PfT/7L/Zn58NRY4NPBgfh06HBaGJvp3RrRERE9UcsUFhYmIwfP954Xa/XS4sWLWTOnDnV1k+dOlUCAwNNtg0dOlQiIyON14cMGSL9+vUzqQkPD5dx48bVeF2DwSBeXl4yf/58Y01BQYFotVqJj4+/4+MJDg6WV155xWRb69atZeHChXe8T00UFhYKACksLHyg/ViDkvJKmbE2TVpP2yCtp22QZxbtkezL15Vui4iIqNbM8fxtca/AlZeXIzk5GREREcZtarUaERERSExMrPY+iYmJJvUAEBkZaVJ/r5qarJuTk4Pc3FyTGhcXF4SHh9+xt+TkZKSmpmL06NFVbps7dy6aNWuGkJAQzJ8/H5WVldXu47aysjIUFRWZXBqDrLxiDIjdi5WJvwIAxvb0w3evd4evu5PCnRERESnD4g5iuHLlCvR6PTw9Tc/f5enpiRMnTlR7n9zc3Grri4qKUFJSAgcHhzvW5Obm1njd27V3288fffnll2jfvj26d+9usn3ixIkIDQ2Fm5sb9u3bh+joaFy8eBH/+Mc/qt0PAMyZMwezZs264+0NjYjgmwNn8cGP6SirNMDdWYNPhgSjV4CH0q0REREpyuICXENSUlKCb775BjNmzKhy2+TJk43/36lTJ2i1WowdOxZz5syBVqutdn/R0dEm9ysqKoKPj4/5G7cABTfLMf27NGw5fisY9wzwwCeDg+DRpPrZEBERNSYWF+Dc3d1hY2ODvLw8k+15eXnw8vKq9j5eXl7V1ut0Ojg4ONy15vY+a7Lu7f/m5eXB29vbpCY4OLhKX99++y1u3ryJl1566Z6POywsDJWVlThz5gzatm1bbY1Wq71juGtIkrKvYtLqVFwsLIWdjQrT+rbDK4/5Qs1zuxEREQGwwKNQNRoNOnfujO3btxu3GQwGbN++Hd26dav2Pt26dTOpB4Bt27aZ1N+rpibr+vr6wsvLy6SmqKgISUlJ1fb25Zdf4rnnnoOHx73f8ktNTYVarUbz5s3vWdtQVeoNWLjtJKKW7cfFwlL4ujvh+9cfw6s9/BjeiIiIfs98x1SYz6pVq0Sr1UpcXJykp6fL2LFjxdXVVXJzc0VEZPr06TJixAhjfXZ2tjg6OsqUKVMkIyNDYmNjxcbGRrZs2WKs2bt3r9ja2sqCBQskIyNDYmJixM7OTtLS0mq8rojI3LlzxdXVVdatWydHjx6V/v37i6+vr5SUlJg8hqysLFGpVLJ58+Yqj2/fvn2ycOFCSU1NldOnT8tXX30lHh4e8tJLL9VqTg3pKNTf8m/IoH/uNR5l+vaaVLleWqF0W0RERGZnjudviwxwIiKLFy+WVq1aiUajkbCwMNm/f7/xtpEjR0qvXr1M6nfu3CnBwcGi0WjEz89PVqxYUWWfa9askYCAANFoNBIYGCgbN26s1boit04lMmPGDPH09BStVit9+vSRzMzMKvuJjo4WHx8f0ev1VW5LTk6W8PBwcXFxEXt7e2nfvr189NFHUlpaWsPp3NJQAtzGoxekY8wWaT1tgwTO3CJrU84p3RIREVGdMcfzt0pERNnXAOl+FRUVwcXFBYWFhdDpdEq3U2sl5Xp8sOE44g/8BgAI8nHF4hdC0KqZo8KdERER1R1zPH9b3EEM1DikXyjCxFUpOHXpOlQq4LVeD2PykwGws7G4j2USERFZHAY4qlcigv/ddwYfbT6B8koDmjfRYuHQYDzm7650a0RERFaDAY7qTf6Nckz99gh+zrj13bJ/atcc85/vhGbODf/UKERERObEAEf1Yt+pK5i0OhWXisugsVHjnafbYWT3NlCpeHoQIiKi2mKAozpVqTfg05+zELvrFESAhz2csDgqFI+2sL6DLoiIiCwFAxzVmQsFJZgYn4JDv14DAAzt4oOY5x6Fo4Z/7IiIiB4En0mpTmxLz8PfEo6gsKQCzlpbzBnYEc8GtVC6LSIiogaBAY7MqqxSjzmbTiBu3xkAQKeHXLA4KgStmzkp2xgREVEDwgBHZpNz5QYmfHMYxy8UAQBefdwXU/u2g8aW53YjIiIyJwY4Mou1Kefx7g9puFGuR1NHO3wyJAh/auepdFtEREQNEgMcPZCb5ZWIWXccCcnnAABhvm747IVgeLs4KNwZERFRw8UAR/ftRG4RJnxz6+uw1CrgzT89gol9HoGNmud2IyIiqksMcFRrIoJvDpzFBz+mo6zSAE+dFp8ODUG3h5sp3RoREVGjwABHtVJYUoF3vk/DxrSLAIAn2npgweAgfh0WERFRPWKAoxpLOXsNb8an4Ny1EtiqVZjWtx1GP+4LNd8yJSIiqlcMcHRPBoNg2Z5szN+aiUqDwMfNAYujQhHs46p0a0RERI0SAxzd1dXrZXg74Qh2ZV4GAPTr5I05AztCZ2+ncGdERESNFwMc3dG+01cwaVUqLhWXQWurRsyzgYgK84FKxbdMiYiIlMQAR1VU6g1YtOMUFu/Iggjg39wZS14MQTsvndKtERERERjg6A8q9AYMX56EpJx8AMDQLj6Iee5ROGr4R4WIiMhS8FmZTNjZqNGxpQuOXyjC7L90QP/glkq3RERERH+gEhFRugm6P0VFRXBxcUFhYSF0OvO9vVleaUBeUSl83BzNtk8iIiK6xRzP32oz90QNgMZWzfBGRERkwRjgiIiIiKwMAxwRERGRlWGAIyIiIrIyDHBEREREVoYBjoiIiMjKMMARERERWRkGOCIiIiIrwwBHREREZGUY4IiIiIisDAMcERERkZVhgCMiIiKyMgxwRERERFaGAY6IiIjIytgq3QDdPxEBABQVFSncCREREdXU7eft28/j94MBzooVFxcDAHx8fBTuhIiIiGqruLgYLi4u93VflTxI/CNFGQwGXLhwAU2aNIFKpTLbfouKiuDj44PffvsNOp3ObPulqjjr+sE51w/OuX5wzvWjLucsIiguLkaLFi2gVt/fp9n4CpwVU6vVeOihh+ps/zqdjr8c6glnXT845/rBOdcPzrl+1NWc7/eVt9t4EAMRERGRlWGAIyIiIrIyNu+///77SjdBlsfGxga9e/eGrS3fZa9rnHX94JzrB+dcPzjn+mHJc+ZBDERERERWhm+hEhEREVkZBjgiIiIiK8MAR0RERGRlGOCIiIiIrAwDnJXLz8/HsGHDoNPp4OrqitGjR+P69et3vY+IYObMmfD29oaDgwMiIiKQlZVlUlNaWorx48ejWbNmcHZ2xqBBg5CXl1frtSdOnIjOnTtDq9UiODi42n6OHj2KHj16wN7eHj4+Ppg3b959TKJuWfqcz549i379+sHR0RHNmzfHlClTUFlZaVKzdetWdO3aFU2aNIGHhwcGDRqEM2fO3P9Q6khDmLWIYMGCBQgICIBWq0XLli0xe/bsB5iK+TWEOd926tQpNGnSBK6urvcxibpl7XPetWsX+vfvD29vbzg5OSE4OBhff/31A07lwcXGxqJNmzawt7dHeHg4Dhw4cNf6Xbt2ITQ0FFqtFv7+/oiLi6tSk5CQgHbt2sHe3h4dO3bEpk2bar2uuX52NSJk1fr27StBQUGyf/9+2bNnj/j7+0tUVNRd7zN37lxxcXGRtWvXypEjR+S5554TX19fKSkpMda89tpr4uPjI9u3b5dDhw5J165dpXv37rVe+80335QlS5bIiBEjJCgoqEovhYWF4unpKcOGDZNjx45JfHy8ODg4yBdffPEAUzE/S55zZWWldOjQQSIiIiQlJUU2bdok7u7uEh0dbazJzs4WrVYr0dHRcurUKUlOTpaePXtKSEiImSZkPtY+a5Fbf+7btm0r69atk+zsbDl06JD89NNPZpiO+TSEOYuIlJeXS5cuXeSpp54SFxeXB5yK+Vn7nGfPni3vvfee7N27V06dOiWffvqpqNVq+fHHH800odpbtWqVaDQa+fe//y3Hjx+XMWPGiKurq+Tl5VVbn52dLY6OjjJ58mRJT0+XxYsXi42NjWzZssVYs3fvj3MzCgAACsZJREFUXrGxsZF58+ZJenq6vPfee2JnZydpaWm1WtdcP7uaYICzYunp6QJADh48aNy2efNmUalUcv78+WrvYzAYxMvLS+bPn2/cVlBQIFqtVuLj443X7ezsJCEhwViTkZEhACQxMfG+1o6Jiak2wP3zn/+Upk2bSllZmXHbtGnTpG3btjUdQ52z9Dlv2rRJ1Gq15ObmGms+//xz0el0xrkmJCSIra2t6PV6Y8369etFpVJJeXn5fc/G3BrCrNPT08XW1lZOnDjxoOOoMw1hzrdNnTpVhg8fLitWrLC4ANeQ5vx7Tz/9tIwaNao2ozCrsLAwGT9+vPG6Xq+XFi1ayJw5c6qtnzp1qgQGBppsGzp0qERGRhqvDxkyRPr162dSEx4eLuPGjavxuub62dUU30K1YomJiXB1dUWXLl2M2yIiIqBWq5GUlFTtfXJycpCbm4uIiAjjNhcXF4SHhyMxMREAkJycjIqKCpOadu3aoVWrVsaa+1n7To+hZ8+e0Gg0xm2RkZHIzMzEtWvXaryfumTpc05MTETHjh3h6elprImMjERRURGOHz8OAOjcuTPUajVWrFgBvV6PwsJC/Oc//0FERATs7OwedERm0xBm/eOPP8LPzw8bNmyAr68v2rRpg1dffRX5+fkPOh6zaQhzBoAdO3YgISEBsbGxDzKOOtNQ5vxHhYWFcHNzq80ozKa8vBzJyckmj12tViMiIsL42P8oMTHRpB649Th/X3+vmpqsa66fXU0xwFmx3NxcNG/e3GSbra0t3NzckJube8f7ADD5C3v7+u3bcnNzodFoqnye5I81tV37Tv1U18vve1Wapc+5JjP09fXFTz/9hHfeeQdarRaurq44d+4c1qxZU7Mh1JOGMOvs7Gz8+uuvSEhIwMqVKxEXF4fk5GQ8//zzNRtCPWgIc7569SpefvllxMXFWewXujeEOf/RmjVrcPDgQYwaNar6B13Hrly5Ar1ef9f5/NGdHmdRURFKSkruWnN7nzVZ11w/u5pigLNA06dPh0qluuvlxIkTSrdp9RrTnHNzczFmzBiMHDkSBw8exO7du6HRaPD8889D6uHLWBrTrA0GA8rKyrBy5Ur06NEDvXv3xpdffomdO3ciMzOzTtduTHMeM2YMXnzxRfTs2bPe125Mc/69nTt3YtSoUVi2bBkCAwOVbqfRs7wv9yK8/fbbePnll+9a4+fnBy8vL1y6dMlke2VlJfLz8+Hl5VXt/W5vz8vLg7e3t3F7Xl6e8ShRLy8vlJeXo6CgwORfCXl5ecb738/ad+rnj0ff3L5em/3cj4YyZy8vrypHQv1xhrGxsdDpdCZH+H711Vfw8fFBUlISunbtetc5PKjGNGtvb2/Y2toiICDAWNO+fXsAt474a9u27V3n8CAa05x37NiB9evXY8GCBQBuHf1nMBhga2uLf/3rX3jllVfuOocH0ZjmfNvu3bvx7LPPYuHChXjppZfu+tjrkru7O2xsbKp93rjbTKur1+l0cHBwuGvN7X3WZF1z/exqrFafmCOLcvtDqocOHTJu27p1a40+ILtgwQLjtsLCwmo/ZPntt98aa06cOFHtB2Rruva9DmL4/Qfpo6OjLfIgBkud8+0PIv/+SKgvvvhCdDqdlJaWiojI5MmTJTw83KTHCxcuCADZu3fvfc2lLjSEWW/dulUAyKlTp4w1qampAkAyMzPvezbm1BDmnJ6eLmlpacbL3//+d2nSpImkpaVJfn7+g47ILBrCnEVEdu7cKU5OTrJkyZIHGYfZhIWFyYQJE4zX9Xq9tGzZ8q4HMXTo0MFkW1RUVJWDGJ555hmTmm7dulU5iOFu65rrZ1dTDHBWrm/fvhISEiJJSUnyyy+/yCOPPFLlEPW2bdvK999/b7w+d+5ccXV1lXXr1snRo0elf//+1R7m3KpVK9mxY4ccOnRIunXrJt26dav12llZWZKSkiLjxo2TgIAASUlJkZSUFOMRTgUFBeLp6SkjRoyQY8eOyapVq8TR0dEiTyNiqXO+fSqAP//5z5KamipbtmwRDw8Pk1MBbN++XVQqlcyaNUtOnjwpycnJEhkZKa1bt5abN2+ae1wPxNpnrdfrJTQ0VHr27CmHDx+WQ4cOSXh4uDz55JPmHtUDsfY5/5ElHoUqYv1z3rFjhzg6Okp0dLRcvHjReLl69aq5R1Vjq1atEq1WK3FxcZKeni5jx44VV1dX49G006dPlxEjRhjrb59GZMqUKZKRkSGxsbHVnkbE1tZWFixYIBkZGRITE1PtaUTutq6I+X52NcEAZ+WuXr0qUVFR4uzsLDqdTkaNGiXFxcUmNQBkxYoVxusGg0FmzJghnp6eotVqpU+fPlVeGSgpKZE33nhDmjZtKo6OjvKXv/xFLl68WOu1e/XqJQCqXHJycow1R44ckccff1y0Wq20bNlS5s6da57hmJGlz/nMmTPy1FNPiYODg7i7u8vbb78tFRUVJjXx8fESEhIiTk5O4uHhIc8995xkZGSYYTrm1RBmff78eRk4cKA4OzuLp6envPzyy4o+4VWnIcz59yw1wFn7nEeOHFnt7/BevXqZZ0D3afHixdKqVSvRaDQSFhYm+/fvN942cuTIKv3t3LlTgoODRaPRiJ+fn8m8b1uzZo0EBASIRqORwMBA2bhxY63WFTHfz64mVCL18AlmIiIiIjIbHoVKREREZGUY4IiIiIisDAMcERERkZVhgCMiIiKyMgxwRERERFaGAY6IiIjIyjDAEREREVkZBjgiIiIiM5s9eza6d+8OR0dHk+89NRcGOCIiIqL70Lt3b8TFxVV7W3l5OQYPHozXX3+9Tta2rZO9EhERETVis2bNAoA7BrwHxVfgiIiIiKwMAxwRERGRlWGAIyKyEOfPn4e9vT1eeeUVk+0///wz7Ozs8NZbbynUGREBwEcffQRnZ2fjZc+ePXjttddMtp09e7ZeelGJiNTLSkREdE8TJkzAv/71L2RlZaF169Y4ceIEunXrhh49emDt2rVQq/nvbiKl5OfnIz8/33h92LBhGDRoEAYOHGjc1qZNG9ja/v9DDOLi4jBp0iQUFBSYtRf+JiAisiDR0dFQq9X4+OOPcfXqVTzzzDNo06YN4uPjGd6IFObm5gZ/f3/jxcHBAc2bNzfZ9vvwVpd4FCoRkQVp2bIlxowZg2XLluHw4cMoKSnB7t274eTkpHRrRFQLZ8+eRX5+Ps6ePQu9Xo/U1FQAgL+/P5ydnR94//znHBGRhfnb3/6GsrIyHD16FOvXr0fLli2VbomIamnmzJkICQlBTEwMrl+/jpCQEISEhODQoUNm2T8/A0dEZGHGjh2LZcuWwc7ODpmZmfD19VW6JSKyMHwFjojIgsyfPx/Lly/HkiVLYGtri9mzZyvdEhFZIAY4IiILsXbtWkyfPh0ffvghxo8fj7Fjx2LlypXIyclRujUisjB8C5WIyAIkJyejZ8+eGDRoEFauXAkAuHDhAvz8/DB8+HAsX75c4Q6JyJIwwBERKezcuXMICwuDn58ftm/fDq1Wa7ztjTfewPLly/lZOCIywQBHREREZGX4GTgiIiIiK8MAR0RERGRlGOCIiIiIrAwDHBEREZGVYYAjIiIisjIMcERERERWhgGOiIiIyMowwBERERFZGQY4IiIiIivDAEdERERkZRjgiIiIiKwMAxwRERGRlfl/mF9Gsd9IZ/AAAAAASUVORK5CYII="
},
"metadata": {}
},
{
"output_type": "stream",
"text": "27.720738 seconds (56.89 M allocations: 2.008 GiB, 0.85% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 6,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x000000002AC671D0>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# x=1 の近くの様子\n\nx = [linspace(bigone-bigten^(-5),bigone-bigten^(-77),400);]\n@time plot(x, f.(x))\ntitle(\" \"*ftitle, fontsize=14)\nxlabel(\"\\$x\\$\", fontsize=12)\nylabel(\"\\$f(x)\\$\", fontsize=12)",
"execution_count": 7,
"outputs": [
{
"output_type": "stream",
"text": " ",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002956DE10>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": "29.881902 seconds (57.62 M allocations: 2.034 GiB, 0.88% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 7,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x000000002A765400>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# x=1 の近くの様子\n\nx = [linspace(bigone-bigten^(-6),bigone-bigten^(-77),400);]\n@time plot(x, f.(x))\ntitle(\" \"*ftitle, fontsize=14)\nxlabel(\"\\$x\\$\", fontsize=12)\nylabel(\"\\$f(x)\\$\", fontsize=12)",
"execution_count": 8,
"outputs": [
{
"output_type": "stream",
"text": " ",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002AB54D68>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": "30.655369 seconds (58.38 M allocations: 2.062 GiB, 0.89% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 8,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x000000002ACA0AC8>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# x=1 の近くの様子\n\nx = [linspace(bigone-bigten^(-7),bigone-bigten^(-77),400);]\n@time plot(x, f.(x))\ntitle(\" \"*ftitle, fontsize=14)\nxlabel(\"\\$x\\$\", fontsize=12)\nylabel(\"\\$f(x)\\$\", fontsize=12)",
"execution_count": 9,
"outputs": [
{
"output_type": "stream",
"text": " ",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002AB98EB8>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": "31.417616 seconds (59.12 M allocations: 2.094 GiB, 0.89% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 9,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x000000002955AA58>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# x=1 の近くの様子\n\nx = [linspace(bigone-bigten^(-8),bigone-bigten^(-77),400);]\n@time plot(x, f.(x))\ntitle(\" \"*ftitle, fontsize=14)\nxlabel(\"\\$x\\$\", fontsize=12)\nylabel(\"\\$f(x)\\$\", fontsize=12)",
"execution_count": 10,
"outputs": [
{
"output_type": "stream",
"text": " ",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002A8A3278>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": "29.163038 seconds (59.87 M allocations: 2.120 GiB, 0.91% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 10,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x000000002547EBA8>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# x=1 の近くの様子\n\nx = [linspace(bigone-bigten^(-9),bigone-bigten^(-77),400);]\n@time plot(x, f.(x))\ntitle(\" \"*ftitle, fontsize=14)\nxlabel(\"\\$x\\$\", fontsize=12)\nylabel(\"\\$f(x)\\$\", fontsize=12)",
"execution_count": 11,
"outputs": [
{
"output_type": "stream",
"text": " ",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002A744CC0>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": "35.076204 seconds (60.63 M allocations: 2.147 GiB, 0.93% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 11,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x00000000295D1048>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# x=1 の近くの様子\n\nx = [linspace(bigone-bigten^(-10),bigone-bigten^(-77),400);]\n@time plot(x, f.(x))\ntitle(\" \"*ftitle, fontsize=14)\nxlabel(\"\\$x\\$\", fontsize=12)\nylabel(\"\\$f(x)\\$\", fontsize=12)",
"execution_count": 12,
"outputs": [
{
"output_type": "stream",
"text": " ",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002AA609E8>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": "33.266301 seconds (61.39 M allocations: 2.173 GiB, 0.91% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 12,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x000000002A91DC50>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# 横軸を対数スケールにしてみる\n\nt = [linspace(10,15,400);]\nx = bigone .- bigten.^(-t)\n@time plot(t, f.(x))\ntitle(\"log scale plot\", fontsize=16)\nxlabel(\"\\$t=-\\\\log_{10}(1-x)\\$\", fontsize=12)\nylabel(\"\\$f(x)=f(1-10^{-t})\\$\", fontsize=12)",
"execution_count": 13,
"outputs": [
{
"output_type": "stream",
"text": " ",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000025904B00>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": "33.545702 seconds (62.99 M allocations: 2.229 GiB, 0.94% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 13,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x000000002A694C88>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# 横軸を適切に対数スケールにしてみる\n\nt = [linspace(9.0,15,400);]\nx = bigone .- bigten.^(-t)\nplot(t, f.(x))\nz = 10.0^(-3.8)*t.^(-5.0) # ←????\nplot(t, 0.5 .+ z)\nplot(t, 0.5 .- z)\ntitle(\"log scale plot\", fontsize=16)\nxlabel(\"\\$t=-\\\\log_{10}(1-x)\\$\", fontsize=12)\nylabel(\"\\$f(x)=f(1-10^{-t})\\$\", fontsize=12)",
"execution_count": 26,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002D0459B0>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 26,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x0000000024EC6C18>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# 横軸を対数スケールにしてみる\n\nt = [linspace(15,30,1000);]\nx = bigone .- bigten.^(-t)\nfigure(figsize=(12,6))\n@time plot(t, f.(x))\ntitle(\"log scale plot\", fontsize=16)\nxlabel(\"\\$t=-\\\\log_{10}(1-x)\\$\", fontsize=12)\nylabel(\"\\$f(x)=f(1-10^{-t})\\$\", fontsize=12)",
"execution_count": 24,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002C445C88>)",
"image/png": 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},
{
"output_type": "stream",
"text": " 92.644738 seconds (177.81 M allocations: 6.276 GiB, 1.12% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 24,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x000000002565DE48>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# 横軸を対数スケールにしてみる\n\nt = [linspace(15,30,1000);]\nx = bigone .- bigten.^(-t)\nfigure(figsize=(12,6))\n@time plot(t, f.(x))\nz = 10.0^(-3.8)*t.^(-5.0) # ←????\nplot(t, 0.5 .+ z)\nplot(t, 0.5 .- z)\ntitle(\"log scale plot\", fontsize=16)\nxlabel(\"\\$t=-\\\\log_{10}(1-x)\\$\", fontsize=12)\nylabel(\"\\$f(x)=f(1-10^{-t})\\$\", fontsize=12)",
"execution_count": 27,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000028A45470>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": "102.420465 seconds (177.81 M allocations: 6.276 GiB, 1.16% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 27,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x0000000024C2EBE0>"
},
"metadata": {}
}
]
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"gist": {
"id": "2299d3d25ccc63be0dcabf512bf85b75",
"data": {
"description": "Julia/Limit of series - Experiment 1 BigFloat.ipynb",
"public": true
}
},
"kernelspec": {
"name": "julia-0.6",
"display_name": "Julia 0.6.0",
"language": "julia"
},
"language_info": {
"file_extension": ".jl",
"name": "julia",
"mimetype": "application/julia",
"version": "0.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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