diff --git a/docs/tutorials/quantum.ipynb b/docs/tutorials/quantum.ipynb index 40133c9a..0b31d783 100644 --- a/docs/tutorials/quantum.ipynb +++ b/docs/tutorials/quantum.ipynb @@ -125,26 +125,26 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "\n", + "\n", "Convention: xpxp\n", "Means: [1. 1.]\n", "Cov: \n", "[[0.25 0. ]\n", " [0. 0.25]]\n", - "\n", + "\n", "Convention: xpxp\n", "Means: [0 0]\n", "Cov: \n", "[[0.09196986 0. ]\n", - " [0. 0.67957046]]\n", - "\n", + " [0. 0.67957044]]\n", + "\n", "Convention: xpxp\n", "Means: [0 0]\n", "Cov: \n", @@ -154,7 +154,7 @@ }, { "data": { - "image/png": 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UynutigztpKEHIBiV13Byp9HjyYYSAFR2vhr27u1CmqtzbLp7fHdew5X348rnxM0IUBZ6pgGQVHYPNenvq0XeSKJminXlFdI8dZWJLtkAAACwmiuFHG8W0qy4wOLOtAOu9FADPIGeaUAA8EXvNMlczy9P9lQze6yKFtLolQagMijeQKpIA6j4voE2OTUA+ANf9E7yViHN2z3RzMbgCrPvz1e90xDc6JkGBJnybkZQ1vxpUvk91AoVL4KZSXbuFOF8WUijVxoAf+GtBlhpN4mRXJ/v0sy8M0zADADu8UYBx9VCmr9wtZea2R5qvpg/jTwY3CimAQHC7J09Jc8U1CTXkq6n51UzkwSZQBRAZVbWeby0hpCzQlrhc8ULas2bHOXOngDgx8z2sDL7m96fimjFuZKTPD3kkxvtoDQM8wQqKTOFKKvmHfBUIY1eaQCCSVkXSTwxDLOsYlt5r8EwGABw5G4PY0+fT4OhkFbIlRjNvG9Xhnu6ixsRBC96pgEBxJO906Tye6hJ7vVSc5fZ4h2FNABwTXmFMmfonQYA/slMIchXhTR3coyr0wsU8nReMjvck95pKI5iGhDEPFVQkxwLXZ4srLna+83ThTQACDbFG0WuNHJKG+4JAHCNv/RKM8PdQpq7F2lK29/VvGO2oMYdPuFNDPMEAoyrvajMFJYi9xkuzT9mywh3WFzh7r5mY3S1kEavNABwjy+GxwAASvJUrzR3CmmXx+6scCHNE8c0G7snh3u6W+xkqGdwomcaEIBcGe4pmeuhJpnvpVact6/4mC30UUgDUFmYPVe70+Apq3caV/kBoHLydAGtrNcw21ONqQhgJXqmAQHKGz3UJNd7qXmTK7EwtBNAZVX0qrs3JpAOhEmpASDQme31ZEWvNF8U0tx9PTPvwxdzP6PyoZgGVCKuFJysLKq5+truFNLolQYgkATC3TIDIUYA8Darh/QFeiHNqtf19lBPBB+GeQIBzNXhnpL5IZ+Fiha1vD0/jjvFOwppAIKNpxpipTVEBkd9X+q2H2RfWGJfT9yIIK91E865AOAhvp6r0qpCWtHXN5OLzAz3tHqaAvJh8KFnGhDg3DkpR+/OdasIVdhjzFM91ooez9VjuvseSGIAAADwJ77s7WS2V5rVhbRCZuPwxJQE3FgHrqBnGhAE3OmhJrneS62osopfRRORN4aKujs/GoU0AJWZs15phc8V750GAAgs5Q3xDLRCWiFP9Zb2lKwEG/M1g55pQLBwt1Dkbg+vsni6B1uhisRKIQ1AsCvaSPJEQ6joMbgJAQCUz5vzpfmq15S/FdIKmYmrvFzFjQjgSfRMA4KIuz3UpL97e/nrpJoVKfhRSAMQTIo2qMw2DMrqlVZ0GzO904rOO3OiWYjf3AEaACozTxSKKlpIM5Nr/L0XNHkNZtEzDQgyFS0ceaOnmrsKY6GQBgAAgGDkqwvZ3uxhPDjqe1OFNFe3Lc5fe82ZZfWdXuFZFNOAIOSJApKVRTVPvTaFNAAw11PAnW0BAMHDnUJVRQpj3so3DPWEr1BMA4KUpwpJnugdZsXrUEgDAABAMKjofGne6JXmiWKYO8U4f+md5q9T48B3mDMNCGKFBSVPdSkurdDlTiLxZmGOIhoAAAAqE1/3tqIXM0AxDagUKnJjgvL4y/xqEoU0AJA8e9X+8tidWp7Z2mPHAwD4H6t7e5m9AY5ZzZsc1d4DMW7vz00IYAbDPIFKInzngaAtNgXzewMAAID/qyyTy3urV5orx61o8Y950+AJFNOASibYik7B9n4AAABQOQTavFsM7wT+RjENqISCoSdXMLwHAPA2dxo+zvbxxgTWAADvKu/cbfUQz6Io1iGQBFwx7ZVXXlHz5s0VERGhLl266Ntvv7U6JCBgBWJBKhBjRmAhzyAQ+UuhK9B6WQCe4GreWLx4sVq3bq2IiAi1b99en3/+uY8iBQB4SkAV09577z2NHz9ekyZN0vfff6/zzz9fSUlJOnLkiNWhAQEtEApUgRAjAh95BgDgClfzxvr16zVs2DDdcsst2rp1qwYNGqRBgwbpp59+8nHkgGvoNQY4cqmYVlBQoGeeeUbdunVT586dNXHiRP3555/eiq2EF154QaNHj9aoUaPUtm1bzZ49W9WrV9e//vUvn8UABLPCgpW/FK38LR74hpW5hjwDAP7DMAztzflBktSrVy+ftz3McDVvzJgxQ/369dMDDzygNm3a6IknntCFF16ol19+2ceRA4HNn4anonJyqZg2depUPfzww6pZs6YaN26sGTNmaMyYMd6KzUFeXp62bNmivn372teFhoaqb9++2rBhQ6n75ObmKjs722EBYI5VhSwKaLAq15BnAMC/7M7ZovSc7yRJjRo18mnbwwx38saGDRsctpekpKQk8gzgYf4y/QGCl0vFtLfeekuvvvqqli1bpo8//lj//ve/tWDBAhUUFHgrPrvffvtN+fn5atCggcP6Bg0aKDMzs9R9UlNTFR0dbV/i4uK8HicQjIoWuDxZ6PLWcRHYrMo15BkA8C+H/tyl1pGJkqSFCxf6tO1hhjt5IzMzkzwDAEGgiisbZ2Rk6P/9v/9nf9y3b1+FhITo0KFDatKkiceDq6iUlBSNHz/e/jg7O5sEBHgIhS94SyDlGvIMAHjPn/knVC/873OqP+cDbyHPAO7ZeyDG6hAQ5Fwqpp09e1YREREO66pWraozZ854NKjS1KtXT2FhYTp8+LDD+sOHDys2NrbUfWw2m2w27ioFAIHEqlxDngEA/2LIUGhImMM6X7U9zHAnb8TGxpJnEJA+yL7Qr25CsDyztdUhoJJzqZhmGIaSk5MdTuinT5/WHXfcoRo1atjXffTRR56L8P+Eh4erU6dOWrFihQYNGiTpr0mqV6xYobFjx3r89QAA1rAq15BngIqL3p1rdQgIKoa2Z6+VJA0fPlxVq1b1WdvDDHfyRteuXbVixQrde++99nXLly9X165dfRAxAMBTXCqmjRw5ssS6G2+80WPBlGf8+PEaOXKkLrroIl188cWaPn26cnJyNGrUKJ/FAADwLitzDXkGgWrvgZhSJ1v2t54EgCsaV2utAiNfkhQdHa2qVav6tO1hRnl5Y8SIEWrcuLFSU1MlSffcc4969uyp559/XgMGDNCiRYv03Xff6bXXXrPybaASW57Z2m/ujPlB9oVWhwCY5lIxbe7cud6Kw5R//OMfOnr0qB577DFlZmaqY8eOWrp0aYlJPAEAgcvKXEOeAZw3Zph/Br7WPvoynS3I06+nf9Grr76qqKgoq0Mqoby8kZGRodDQv+/5lpiYqIULF+qRRx7Rww8/rHPOOUcff/yx2rVrZ9VbQJBzdrHFHVygAf7mUjHNH4wdO5bhNgAAryHPAABcUVbeWL16dYl1Q4YM0ZAhQ7wcFQJB9O5cZSUwJ55ErzQEntDyNwEAAECgYFJmAPC9ynKne38oelU0z9kywst8PnKfUaHjo3KgmAYAAIBSUZgDgODn6rne0wU1Tx+PaQngCxTTAAAAAADwU+X1lCqvp5U3ikueKoC5ehwu8sBfUEwDAAAIYv4wJAcA4N/cKVJVNL8Ecn6K3p1rdQiwWMDdgAAAAADeEcgNGwCA7xXmDVfu8ulurjFT8CuvF155vfi8qbLMq1dZUEwDAAAIIJH7DJ1oFmJ1GAAAD/DUHT1tGeHKbZrn9Pm9B2LUvMnRMo+xPLO1Lo/d6dbrFy2QlVZYC5SLNdx8AGZRTAMAAAhQRRtPRRtKxRtEH2RfWG6vgeINHWc9AIpe1afRAQB/C995QHmtm3jl2IF0IcUbhTNP9EoDPIk50wAAAFAmGigAEPjMnMv9cYJ/T8XkqSGezJcGiWIaAABApVBWT4FAGX4DAHDOU8UifyyolccTF33obQ1XUEwDAADwI96coLi0ohmFNACwltmeTp4o9pgtOvlLQc3feqW5i5sPBB/mTAMAAPBz7kxQ7WwiaTPFM3caL6U1Bmk8AIBvlXcjAsnczQikit2QoKJcyUNMRQAr0DMNAAAgSNCgAABrBdtFBCt6qHm6kGamV5rZXn/Ml4ZCFNMAAAACmLeHrhRtqFg9TAYAgpUnh3qaOVe7cvFleWZrnxXV/GV4KVAeimkAAAABxuwVdHcaJWb3YaJmAAhsrvZm9mZRzZ1j+7pXmruCrbci/kIxDQAAAAAAD3G3eOLr3mmSe9MDeLKo5u6xrJjWgCGeKIobEAAAAASR4hNLuzKBdPEGDXOwAUDgMnMzAsn8DQmKK5oz3M0z7jCbm/yhVxqCF8U0AACAAFdeg8lMQa28Bg7zpQGA/4jcZ+hEsxCPHc/dglohX8115slCmivc7ZXGEM/gxTBPAACAAFDR4SVlNXQq2ghi6AsAOPL2UE/Js8M9Jf/vjezpQhq90lARFNMAAAD8jJlGWFmNAGcNjtKKZs4KaWU1WmiAAEDgCPSC2t4DMR6Py5U8xgUjlIZhngAAAJWIr4biMLQFANwTvTtXWQk2U9uaHe5pdv406e+CWkWGfXqKq0U0f5qSgDwY3OiZBgAAEASKNyAqchW/+L7+1DgBgEDhq2KK2V5Wrp7LvdEjzJuv7Y3hnfRKgzMU0wAAAIKUPw7XAQCUz1tFHHcujviyqObua/nbPGn0Sgt+FNMAAAACRPHGVfFGgSd6kJXXiCn+mly1BwDnKlJU8fTNCAq5mysKC12eLqxV5Li2jHCv9Z4mv6EszJkGAAAQxPYeiDE9701pDRmGeAJAYDA7f5rk2hxqpSmeL1yZX81TxThX85OvhnfSK61yoJgGAADgh8J3HlBe6yYeOZaZgponexrQkACAv1XkfO7KzQgk1wtqkipUVCvk62kFvFlIA8xgmCcAAEAAMzvUs6yGjrPnih+LxggA+J6rvaRcPVcHUg9kd4Z1uvp50CsNZtAzDQAAIIC42kuhKE/3HGA+GQAwx5O9jc1wpYea5Nleat7iTtHPl4U0VC70TAMAAAgynuhlEEg9FQAg2LlT5HGnN7E3J/R3l7s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" ] @@ -166,20 +166,20 @@ "name": "stdout", "output_type": "stream", "text": [ - "\n", + "\n", "Convention: xpxp\n", "Means: [0 0 0 0]\n", "Cov: \n", - "[[4.24347175 0. 3.23180328 0. ]\n", - " [0. 4.24347175 0. 3.23180328]\n", - " [3.23180328 0. 4.24347175 0. ]\n", - " [0. 3.23180328 0. 4.24347175]]\n" + "[[4.2434716 0. 3.2318034 0. ]\n", + " [0. 4.2434716 0. 3.2318034]\n", + " [3.2318034 0. 4.2434716 0. ]\n", + " [0. 3.2318034 0. 4.2434716]]\n" ] }, { "data": { "text/plain": [ - "\n", + "\n", "Convention: xxpp\n", "Means: [1. 0. 0. 0. 0. 1. 0. 0. 0. 0.]\n", "Cov: \n", @@ -189,20 +189,20 @@ " 0. 0. 0. 0. ]\n", " [0. 0. 4.25 0. 0. 0.\n", " 0. 0. 0. 0. ]\n", - " [0. 0. 0. 4.24347175 3.23180328 0.\n", + " [0. 0. 0. 4.2434716 3.2318034 0.\n", " 0. 0. 0. 0. ]\n", - " [0. 0. 0. 3.23180328 4.24347175 0.\n", + " [0. 0. 0. 3.2318034 4.2434716 0.\n", " 0. 0. 0. 0. ]\n", " [0. 0. 0. 0. 0. 0.25\n", " 0. 0. 0. 0. ]\n", " [0. 0. 0. 0. 0. 0.\n", - " 0.67957046 0. 0. 0. ]\n", + " 0.67957044 0. 0. 0. ]\n", " [0. 0. 0. 0. 0. 0.\n", " 0. 4.25 0. 0. ]\n", " [0. 0. 0. 0. 0. 0.\n", - " 0. 0. 4.24347175 3.23180328]\n", + " 0. 0. 4.2434716 3.2318034 ]\n", " [0. 0. 0. 0. 0. 0.\n", - " 0. 0. 3.23180328 4.24347175]]" + " 0. 0. 3.2318034 4.2434716 ]]" ] }, "metadata": {}, @@ -210,7 +210,7 @@ }, { "data": { - "image/png": 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", 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", 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" ] @@ -276,14 +276,14 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "\n", + "\n", "Convention: xxpp\n", "Means: [ 1 -2 -3 4]\n", "Cov: \n", @@ -295,7 +295,7 @@ }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -346,7 +346,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -365,12 +365,12 @@ " \"gc_out\": \"gc\",\n", " },\n", " \"connections\": {\n", - " \"gc_in,o0\": \"splitter,port 1\",\n", - " \"splitter,port 2\": \"long_wg,o0\",\n", - " \"splitter,port 3\": \"short_wg,o0\",\n", - " \"long_wg,o1\": \"combiner,port 2\",\n", - " \"short_wg,o1\": \"combiner,port 3\",\n", - " \"combiner,port 1\": \"gc_out,o0\",\n", + " \"gc_in,o0\": \"splitter,port_1\",\n", + " \"splitter,port_2\": \"long_wg,o0\",\n", + " \"splitter,port_3\": \"short_wg,o0\",\n", + " \"long_wg,o1\": \"combiner,port_2\",\n", + " \"short_wg,o1\": \"combiner,port_3\",\n", + " \"combiner,port_1\": \"gc_out,o0\",\n", " },\n", " \"ports\": {\n", " \"in\": \"gc_in,o1\",\n", @@ -394,7 +394,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -416,69 +416,53 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "QuantumResult(s_params=Array([[[0.09961867-0.02142212j, 0.3800803 +0.15859034j],\n", - " [0.3800803 +0.15859034j, 0.09961867-0.02142212j]]], dtype=complex128), input_means=Array([1., 0., 0., 0., 1., 0., 0., 0.], dtype=float64), input_cov=Array([[0.25, 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n", + "QuantumResult(s_params=Array([[[0.09968509-0.02082751j, 0.38472682+0.16065454j],\n", + " [0.38472682+0.16065452j, 0.09968508-0.02082751j]]], dtype=complex64), input_means=Array([1., 0., 0., 0., 1., 0., 0., 0.], dtype=float32), input_cov=Array([[0.25, 0. , 0. , 0. , 0. , 0. , 0. , 0. ],\n", " [0. , 0.25, 0. , 0. , 0. , 0. , 0. , 0. ],\n", " [0. , 0. , 0.25, 0. , 0. , 0. , 0. , 0. ],\n", " [0. , 0. , 0. , 0.25, 0. , 0. , 0. , 0. ],\n", " [0. , 0. , 0. , 0. , 0.25, 0. , 0. , 0. ],\n", " [0. , 0. , 0. , 0. , 0. , 0.25, 0. , 0. ],\n", " [0. , 0. , 0. , 0. , 0. , 0. , 0.25, 0. ],\n", - " [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.25]], dtype=float64), transforms=Array([[[ 9.96186721e-02, 3.80080300e-01, -9.05541431e-01,\n", - " 0.00000000e+00, 2.14221209e-02, -1.58590337e-01,\n", - " -1.68024456e-18, -0.00000000e+00],\n", - " [ 3.80080300e-01, 9.96186721e-02, 0.00000000e+00,\n", - " -9.05541431e-01, -1.58590337e-01, 2.14221209e-02,\n", - " -0.00000000e+00, 7.85282694e-19],\n", - " [ 9.05541431e-01, 0.00000000e+00, 9.96186721e-02,\n", - " 3.80080300e-01, 1.68024456e-18, -0.00000000e+00,\n", - " 2.14221209e-02, -1.58590337e-01],\n", - " [ 0.00000000e+00, 9.05541431e-01, 3.80080300e-01,\n", - " 9.96186721e-02, -0.00000000e+00, -7.85282694e-19,\n", - " -1.58590337e-01, 2.14221209e-02],\n", - " [-2.14221209e-02, 1.58590337e-01, 1.68024456e-18,\n", - " 0.00000000e+00, 9.96186721e-02, 3.80080300e-01,\n", - " -9.05541431e-01, 0.00000000e+00],\n", - " [ 1.58590337e-01, -2.14221209e-02, 0.00000000e+00,\n", - " -7.85282694e-19, 3.80080300e-01, 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-9.4058998e-03,\n", + " 1.7502746e-02, 2.5000000e-01, 1.4472228e-09, 1.4788926e-10],\n", + " [ 9.4059026e-03, -7.2553113e-02, 1.1896617e-10, -6.0811384e-11,\n", + " 3.2815795e-10, 1.4472228e-09, 2.5000003e-01, 1.7502746e-02],\n", + " [-7.2553113e-02, 9.4058998e-03, -6.6738615e-11, 6.2552141e-10,\n", + " 1.4472228e-09, 1.4788926e-10, 1.7502746e-02, 2.5000000e-01]]], dtype=float32), wl=Array([1.55], dtype=float32, weak_type=True), n_ports=2)\n" ] }, { @@ -491,13 +475,13 @@ " dtype=object)" ] }, - "execution_count": 5, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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AFIITAABAipIJTvPmzYvjjjsuevfuHf369YtzzjknVq5cmXVZAFQwvQmgcpRMcHryySdjxowZ8cwzz8TixYtj27Ztcdppp8U777yTdWkAVCi9CaBydMu6gEL9/Oc/b/T6zjvvjH79+sWzzz4bH/jABzKqCoBKpjcBVI6SCU5N1dbWRkTEvvvu2+wxdXV1UVdX1/B68+bN7V4XAJVLbwIoXyUzVW9X9fX1MWvWrBg3blyMHDmy2ePmzZsX1dXVDdvAgQM7sEoAKoneBFDeSjI4zZgxI5YvXx733ntvi8fNmTMnamtrG7a1a9d2UIUAVBq9CaC8ldxUvUsuuSQeeuiheOqpp2LAgAEtHpvL5SKXy3VQZQBUKr2JSrZ1eMt/53fqvmJdO1cC7atkglOSJHHppZfGj370o3jiiSdi6NChWZcEQIXTm6hEhQaltPMEKUpNyQSnGTNmxD333BM/+clPonfv3rFhw4aIiKiuro6ePXtmXB0AlUhvolK0NSwVek0hilJQMs843XbbbVFbWxsnn3xyHHTQQQ3bfffdl3VpAFQovYlyt3X4gHYJTVl9DuyJkhlxSpIk6xIAoBG9iXKVVYjZ+blGoOiMSmbECQCA9tcZRn46Qw3QVMmMOAEA0H5aG1ZqD2nb6pDVL9WlHxRGn+h8BCcAgApXaGhqa1hq7hqFhKitwwcIT3QKpuoBAFSwQkJT7SG5ooSmtl7X1D06A8EJAKBCFRqa2lshAUp4Imum6gEAVKC0IFJIYNoyuKrVn9v7leZXo6w9JNfi9D3T9siSEScAgAqzJ6Fpy+Cqhq0t0s418kRnJTgBAFSQtoamPQlLrb2e8ERnZKoeAAAR0XJoak7doK0FXTu3pnuz1843fS9t2h50NMEJAKBCtDRSky80NReYCg1LzZ3TNETt/JymAaql8OR5JzqaqXoAABWu0NBUN2hrm0JTodfJ95ktTdszZY+OZMQJAKACNBcyWhOamjNkwOstfvbqdTV599cN2pp39Kk1I0/QUQQnAABalC80pYWl5o5tGqIKDU+QNVP1AADK3J6MNjUNTUMGvN6q0NRUvnMLmf7X3JQ90/XoKEacAACIiMJCU3P+/sAVefcv3jB8t307r7Pr6FPTkSejTnQ2ghOUgLZ8m2alIQAiWjfatKtCQlNzYam5Y5qGqCEDXm8xPDXV3LNOVtijIwhO0AkVY9rBrtfQTABI09ofty0kNOU7Jy08Na3JqBOdhWecoBPZOnxAu8zV3nld88ABiNjz0aa2hKZCz0173imtdmgvRpygE+jIQLPzs4xCAbBTS6NNhYamc/ssa/Ya928+drdr7DryVIxRJ9P1aG9GnCBDWY4CGX0CKH9t+be+pRGffKHp3D7LWgxNO48p5FqF1ABZEZwgA3samGoPyTXasqoDgPKWtux4WmBqzbF7ssQ5dATBCTpYa4JK04DUXFAq5Jhi1QRAaWvaIwpdFKLpCFFrQlNz5xT6rFTTGj3nRBY84wQdqNCAUoyGsOs18i3d2pS54QAAzROcoAN0ZGBq6bppAUp4AgDIz1Q9aGeFhKbWTK/bMrhqt61QhXyGaXsAlavQRRnaMk2vkHN3fc7JAhF0NkacIGMthZlCQ1G+45pburWQ0ScjTwAAjRlxgnbU0uhNS6NMrR1Jass1PFgLQFO5Nd0LOq7p7zIVS3O/5QSdgeAE7SQtNOVTjMDUmmu2FJ5M2QOgPRQaugoNcdBRTNWDdtDW0NSc1szzbq7RNPfL67WH5JqdtmfKHgDAXwlOUGStDU3NBaa2PhS763lNQ1RbwhMA5aX6pbqSn66tZ5EFU/WggxQamuoGbS3aSkL5rtPaqYCm7AGUt+YWE2pq8YbhjV635Tmnpuc0vWZzCq0R2pMRJyii5kJGa0JTPrsuz9qSfA/V1g3aWtDIk1EnACL+OlthZz9ava6mxR50/+ZjC16aPC1oWRiCzs6IE2Sg0NA0ZMDrBYemlo4vdOSpuakbRp0ASlOxn1PNN0J0/+ZjWwxFzb3f0miThSHojIw4QZG0ZrSpqabBpjVhKZ+d5+/67V2+kScAKlPT55x6v5I0O5W76ajT4g3D4+8PXLHbca2Zutc0NLU02tR0hkRzsyMsZkR7E5yggzVtTIWGpnxNalf5vrkbMuD1FsNTc4tFAFDZdp2uF1F4eCpEWmjyJR+dlal6UASFjja1JTT9/YErCmpOzR3X9JpNP7NpTabrAVSmpl+kNQ0wTQPO4g3DC17coS3H56sJsiQ4QSfRNOAUGpiaKiQ8AVA5mpvC1pYFgfJNqdsZiJoLRS2919rRJtP0yJKperCHijHalC807Ym/P3BFi9/qed4JgHyaPuvUdMpeRMsr7RU6opQvgDXtS0ab6GwEJ8hAS7/T1FxoSlvutelDuU3DU9PnnXbV9FknS5MDlJfuK9bl/aIv34/hFhqeIlo/o6G5PlRIaDLaRNYEJ8hYWtMp9Pcxzu2zLDU8AUBT+cJTU/nCU0TjINRcP0v7fSYzICgVghO0g7Rpes1pOtpUaGja9fhCl4M1XQ+gsjQ36pTPzhGfpiNPEc3PmmjtD9g214OMNtFZWRwCOlhLzza1N4tEAJBPc8EkX4jJrem+R1+8tXR+a0ITdDTBCfZAMZfo3tPRpubO29OFJnZlSXKA0tbSCE1rwlPE3wJQISEq7djeryStDk1Gm+hopuoBAFSQlqbsNfe8U76pe7vakxGo5oKZ0ERnY8QJKJhGBVD+WgosxVwivLlRprQaICtGnKDI2rowBAB0lLSFInYGl5ZGnyJa3+MKCV5pocmXeGRFcAIAqECFrLKXtlR5MUegChllEprIkql6UOZ2/R2n1i4VC0B5KySIVL9U165T5wq9vtBE1kouOH3jG9+IIUOGRI8ePWLs2LGxZMmSrEuCRrKel13o7zj5DScoHr2JUlZoICl2gGrN9YQmOoOSCk733XdfXHbZZTF37txYtmxZHH300TFx4sTYtGlT1qVBs9o6jaHQAFQMTWvMOvxBKdGbKAfdV6xrdYBqS69o7bmtqQvaW0kFp69//esxffr0uOCCC2LEiBFx++23R69eveKOO+7IujTYY7tOqWurpmGrGNcEWqY3UU5aG1J2DUKFbO1ZC7S3VgWn+vr6uPbaa2PcuHFx3HHHxRVXXBHvvfdee9XWyNatW+PZZ5+NCRMmNOzr0qVLTJgwIZ5++um859TV1cXmzZsbbdCZpD1zVOio0/2bj009dtfPMk2PcqI3QXFlPcqT9edDc1oVnL72ta/FF7/4xdh7773j4IMPjptuuilmzJjRXrU18sYbb8SOHTvigAMOaLT/gAMOiA0bNuQ9Z968eVFdXd2wDRw4sCNKhRa1FFryjRClhaLm3it0UYhCp+lpYnRWehO0jyz+3ddr6MxaFZy+973vxTe/+c34xS9+ET/+8Y/jwQcfjLvvvjvq6+vbq749MmfOnKitrW3Y1q5dm3VJlJlC/4Fv6TmnpqGmuel1OwNU0y2flqboGW2i3OhN0H52jv60Z6DpiM+AYmjV7zitWbMmzjzzzIbXEyZMiKqqqnj11VdjwICWfwdgT+2///7RtWvX2LhxY6P9GzdujAMPPDDvOblcLnK55n97ANpL2u9e5NZ0j7pBW5t9f/GG4fH3B65o9efmC0ytGW2CUqQ3QcfYNdik/f5Ta64FpaJVI07bt2+PHj16NNr3vve9L7Zt21bUovLp3r17jB49Oh577LGGffX19fHYY4/FCSec0O6fD+0pX7hpzcIOizcMLyg0pY02maZHKdKboOPtOkpUyGhRa46FzqpVI05JksTUqVMbfVP2l7/8JS6++OLYa6+9Gvb98Ic/LF6Fu7jsssvi/PPPjzFjxsTxxx8fN954Y7zzzjtxwQUXtMvnQTH1fiWJLYOrGl43HXVava4mhgx4vdE5TcPQzlGoQkJVWmgy2kS50JugcxCIKHetCk7nn3/+bvumTJlStGLSfOxjH4vXX389vvKVr8SGDRti1KhR8fOf/3y3h3KhI3VfsS7vlIW06XoRhYWnXbUlMO38nF3lC01GmyhVehMAHaEqSZKK+dp58+bNUV1dHRP6fTq6dfGAPMXT3FzvfMFp11GnnfI979RSgMqnuWeZ9iQ0RQhO7Jnt9Vvj0U3fjtra2ujTp0/W5XRKehNAx2prb2rViBOQX2tGnZpO2YvIv1hE0yCUL0il/Q7Unq6gJzQBAPyV4ATtbE/C067SQlLTa+Vjih4AQNu0alU9oHmtDRr5QkxuTfc9GiVq7vzeryStnqIHAMDfGHGCDtDcQhH5Rp4idh8xamkkKi1oNbd6nueaAAAKJzhBETX3rFNEy+EpIv+iETu1ZRSqpeXGhSYAgNYxVQ+KrKXg0VJgaW46XWulXUdoAgBoPSNO0MF2BpfmfuNp19DT0ihUc+ekfW5zhCYAgOYJTtAOWpqyt1MhP5BbjBGonZ/VEqEJAKBlpupBOykkjFS/VNeuK9sVcn2hCQAgnREnaEeFjDxFpE/fa43WBDGhCQCgMIITtLNCw1PE7qGn0CDVllEroQkAoHCCE3SAnSGl0AC1U3tM4xOYAABazzNO0IGyDi1Zfz4AQKky4gQdrK2jT8X4TAAA2kZwgox0RIASmAAAikNwgoztGm72NEQJSgAA7UNwgk5E8AEA6JwsDgEAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBSCEwAAQArBCQAAIIXgBAAAkEJwAgAASCE4AQAApBCcAAAAUghOAAAAKQQnAACAFIITAABACsEJAAAgheAEAACQQnACAABIITgBAACkEJwAAABSCE4AAAApBCcAAIAUghMAAEAKwQkAACCF4AQAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBQlEZxWr14d06ZNi6FDh0bPnj3jkEMOiblz58bWrVuzLg2ACqU3AVSWblkXUIgVK1ZEfX19zJ8/Pw499NBYvnx5TJ8+Pd555524/vrrsy4PgAqkNwFUlpIITqeffnqcfvrpDa+HDRsWK1eujNtuu01zAiATehNAZSmJ4JRPbW1t7Lvvvi0eU1dXF3V1dQ2vN2/e3N5lAVDB9CaA8lUSzzg1tWrVqrjlllvioosuavG4efPmRXV1dcM2cODADqoQgEqjNwGUt0yD0xVXXBFVVVUtbitWrGh0zvr16+P000+PSZMmxfTp01u8/pw5c6K2trZhW7t2bXveDgBlQG8CIJ9Mp+rNnj07pk6d2uIxw4YNa/jfr776aowfPz5OPPHEWLBgQer1c7lc5HK5PS0TgAqiNwGQT6bBqaamJmpqago6dv369TF+/PgYPXp0LFy4MLp0KclZhgB0cnoTAPmUxOIQ69evj5NPPjkGDx4c119/fbz++usN7x144IEZVgZApdKbACpLSQSnxYsXx6pVq2LVqlUxYMCARu8lSZJRVQBUMr0JoLKUxJyCqVOnRpIkeTcAyILeBFBZSiI4AQAAZElwAgAASCE4AQAApBCcAAAAUghOAAAAKQQnAACAFIITAABACsEJAAAgheAEAACQQnACAABIITgBAACkEJwAAABSCE4AAAApBCcAAIAUghMAAEAKwQkAACCF4AQAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBSCEwAAQArBCQAAIIXgBAAAkEJwAgAASCE4AQAApBCcAAAAUghOAAAAKQQnAACAFIITAABACsEJAAAgheAEAACQQnACAABIITgBAACkEJwAAABSCE4AAAApBCcAAIAUghMAAEAKwQkAACCF4AQAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBSCEwAAQArBCQAAIEXJBae6uroYNWpUVFVVxXPPPZd1OQCgNwFUgJILTl/4wheif//+WZcBAA30JoDyV1LB6eGHH45HHnkkrr/++oKOr6uri82bNzfaAKCY9CaAylAywWnjxo0xffr0uOuuu6JXr14FnTNv3ryorq5u2AYOHNjOVQJQSfQmgMpREsEpSZKYOnVqXHzxxTFmzJiCz5szZ07U1tY2bGvXrm3HKgGoJHoTQGXJNDhdccUVUVVV1eK2YsWKuOWWW2LLli0xZ86cVl0/l8tFnz59Gm0A0BK9CYB8umX54bNnz46pU6e2eMywYcPi8ccfj6effjpyuVyj98aMGROTJ0+O7373u+1YJQCVRG8CIJ+qJEmSrItIs2bNmkYPz7766qsxceLEuP/++2Ps2LExYMCAgq6zefPmqK6ujgn9Ph3dunRvr3IB+P9tr98aj276dtTW1pbdyIreBFCa2tqbMh1xKtSgQYMavd57770jIuKQQw4puDEBQDHpTQCVpSQWhwAAAMhSSYw4NTVkyJAogRmGAFQQvQmgvBlxAgAASCE4AQAApBCcAAAAUghOAAAAKQQnAACAFIITAABACsEJAAAgheAEAACQQnACAABIITgBAACkEJwAAABSCE4AAAApBCcAAIAUghMAAEAKwQkAACCF4AQAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBSCEwAAQArBCQAAIIXgBAAAkEJwAgAASCE4AQAApBCcAAAAUghOAAAAKQQnAACAFIITAABACsEJAAAgheAEAACQQnACAABIITgBAACkEJwAAABSCE4AAAApBCcAAIAUghMAAEAKwQkAACCF4AQAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBSCEwAAQArBCQAAIEVJBaef/vSnMXbs2OjZs2f07ds3zjnnnKxLAqDC6U0AlaFb1gUUatGiRTF9+vS4+uqr45RTTont27fH8uXLsy4LgAqmNwFUjpIITtu3b4+ZM2fGddddF9OmTWvYP2LEiAyrAqCS6U0AlaUkgtOyZcti/fr10aVLlzjmmGNiw4YNMWrUqLjuuuti5MiRzZ5XV1cXdXV1Da9ra2sjImJ7/dZ2rxmAv/17myRJxpUUn94EUJra3JuSEvD9738/iYhk0KBByf3335/8+te/Tj7xiU8k++23X/KnP/2p2fPmzp2bRITNZrPZMt5eeumlDuwaHUNvstlsttLeWtubqpIku68Br7jiirj22mtbPOb3v/99LFu2LCZPnhzz58+PCy+8MCL++o3dgAED4qqrroqLLroo77lNv9V7++23Y/DgwbFmzZqorq4u3o10Mps3b46BAwfG2rVro0+fPlmX024q5T4jKude3Wf5qa2tjUGDBsVbb70V++yzT9blFERvah+V8ve+Uu4zonLu1X2Wn7b2pkyn6s2ePTumTp3a4jHDhg2L1157LSIazxvP5XIxbNiwWLNmTbPn5nK5yOVyu+2vrq4u+78QERF9+vRxn2WmUu7VfZafLl1KZxFXval9Vcrf+0q5z4jKuVf3WX5a25syDU41NTVRU1OTetzo0aMjl8vFypUr46STToqIiG3btsXq1atj8ODB7V0mABVEbwIgn5JYHKJPnz5x8cUXx9y5c2PgwIExePDguO666yIiYtKkSRlXB0Al0psAKktJBKeIiOuuuy66desWn/zkJ+O9996LsWPHxuOPPx59+/Yt+Bq5XC7mzp2bd4pEOXGf5adS7tV9lp9yv1e9qXDus/xUyr26z/LT1nvNdHEIAACAUlA6T+sCAABkRHACAABIITgBAACkEJwAAABSVHRw+ulPfxpjx46Nnj17Rt++feOcc87JuqR2U1dXF6NGjYqqqqp47rnnsi6n6FavXh3Tpk2LoUOHRs+ePeOQQw6JuXPnxtatW7MubY994xvfiCFDhkSPHj1i7NixsWTJkqxLKrp58+bFcccdF717945+/frFOeecEytXrsy6rHZ3zTXXRFVVVcyaNSvrUopu/fr1MWXKlNhvv/2iZ8+eceSRR8avf/3rrMsqCXpTeSjnvhRR/r1JX5qVdSntYk97U8UGp0WLFsUnP/nJuOCCC+K3v/1t/PKXv4zzzjsv67LazRe+8IXo379/1mW0mxUrVkR9fX3Mnz8/Xnjhhbjhhhvi9ttvjy9+8YtZl7ZH7rvvvrjsssti7ty5sWzZsjj66KNj4sSJsWnTpqxLK6onn3wyZsyYEc8880wsXrw4tm3bFqeddlq88847WZfWbpYuXRrz58+Po446KutSiu6tt96KcePGxfve9754+OGH43e/+13853/+Z6uW6K5UelP5KNe+FFEZvUlfKj9F6U1JBdq2bVty8MEHJ9/+9rezLqVD/OxnP0uGDx+evPDCC0lEJL/5zW+yLqlD/Md//EcydOjQrMvYI8cff3wyY8aMhtc7duxI+vfvn8ybNy/Dqtrfpk2bkohInnzyyaxLaRdbtmxJ3v/+9yeLFy9OPvjBDyYzZ87MuqSiuvzyy5OTTjop6zJKjt70m6xLanfl0JeSpDJ7k75U+orRmypyxGnZsmWxfv366NKlSxxzzDFx0EEHxRlnnBHLly/PurSi27hxY0yfPj3uuuuu6NWrV9bldKja2trYd999sy6jzbZu3RrPPvtsTJgwoWFfly5dYsKECfH0009nWFn7q62tjYgo6T+/lsyYMSPOOuusRn+25eSBBx6IMWPGxKRJk6Jfv35xzDHHxLe+9a2sy+r09KbyV+p9KaJye5O+VPqK0ZsqMjj98Y9/jIiIK6+8Mr785S/HQw89FH379o2TTz453nzzzYyrK54kSWLq1Klx8cUXx5gxY7Iup0OtWrUqbrnllrjooouyLqXN3njjjdixY0cccMABjfYfcMABsWHDhoyqan/19fUxa9asGDduXIwcOTLrcoru3nvvjWXLlsW8efOyLqXd/PGPf4zbbrst3v/+98cvfvGL+MxnPhOf+9zn4rvf/W7WpXVqelN5K4e+FFGZvUlfKg/F6E1lFZyuuOKKqKqqanHbOec4IuJLX/pSfOQjH4nRo0fHwoULo6qqKn7wgx9kfBfpCr3PW265JbZs2RJz5szJuuQ2K/Red7V+/fo4/fTTY9KkSTF9+vSMKqetZsyYEcuXL497770361KKbu3atTFz5sy4++67o0ePHlmX027q6+vj2GOPjauvvjqOOeaYuPDCC2P69Olx++23Z11aJvSm8upN+lLl0ZfKQzF6U7d2rK/DzZ49O6ZOndriMcOGDYvXXnstIiJGjBjRsD+Xy8WwYcNizZo17VliURR6n48//ng8/fTTkcvlGr03ZsyYmDx5ckl8+1vove706quvxvjx4+PEE0+MBQsWtHN17Wv//fePrl27xsaNGxvt37hxYxx44IEZVdW+LrnkknjooYfiqaeeigEDBmRdTtE9++yzsWnTpjj22GMb9u3YsSOeeuqpuPXWW6Ouri66du2aYYXFcdBBBzX69zUi4vDDD49FixZlVFG29Ka/KYfeVMl9KaLyepO+VB59KaI4vamsglNNTU3U1NSkHjd69OjI5XKxcuXKOOmkkyIiYtu2bbF69eoYPHhwe5e5xwq9z5tvvjmuuuqqhtevvvpqTJw4Me67774YO3Zse5ZYNIXea8Rfv9EbP358w7e0XbqU9oBq9+7dY/To0fHYY481LEdcX18fjz32WFxyySXZFldkSZLEpZdeGj/60Y/iiSeeiKFDh2ZdUrs49dRT4/nnn2+074ILLojhw4fH5ZdfXjbNady4cbst2/viiy+WxL+v7UFvaqzUe1Ml96WIyulN+lJ59aWIIvWmIixSUZJmzpyZHHzwwckvfvGLZMWKFcm0adOSfv36JW+++WbWpbWbl19+uWxXLlq3bl1y6KGHJqeeemqybt265LXXXmvYStm9996b5HK55M4770x+97vfJRdeeGGyzz77JBs2bMi6tKL6zGc+k1RXVydPPPFEoz+7d999N+vS2l05rl60ZMmSpFu3bsnXvva15A9/+ENy9913J7169Ur+67/+K+vSOj29qXyUa19KksroTfrSzKzLKLpi9KaKDU5bt25NZs+enfTr1y/p3bt3MmHChGT58uVZl9WuyrU5JUmSLFy4MImIvFupu+WWW5JBgwYl3bt3T44//vjkmWeeybqkomvuz27hwoVZl9buyrVBPfjgg8nIkSOTXC6XDB8+PFmwYEHWJZUEval8lHNfSpLy70360sysy2gXe9qbqpIkSdow2gUAAFAxSn+yLQAAQDsTnAAAAFIITgAAACkEJwAAgBSCEwAAQArBCQAAIIXgBAAAkEJwAgAASCE4AQAApBCcoBPasWNHnHjiifGP//iPjfbX1tbGwIED40tf+lJGlQFQqfQmKl1VkiRJ1kUAu3vxxRdj1KhR8a1vfSsmT54cERGf+tSn4re//W0sXbo0unfvnnGFAFQavYlKJjhBJ3bzzTfHlVdeGS+88EIsWbIkJk2aFEuXLo2jjz4669IAqFB6E5VKcIJOLEmSOOWUU6Jr167x/PPPx6WXXhpf/vKXsy4LgAqmN1GpBCfo5FasWBGHH354HHnkkbFs2bLo1q1b1iUBUOH0JiqRxSGgk7vjjjuiV69e8fLLL8e6deuyLgcA9CYqkhEn6MR+9atfxQc/+MF45JFH4qqrroqIiEcffTSqqqoyrgyASqU3UamMOEEn9e6778bUqVPjM5/5TIwfPz6+853vxJIlS+L222/PujQAKpTeRCUz4gSd1MyZM+NnP/tZ/Pa3v41evXpFRMT8+fPjn//5n+P555+PIUOGZFsgABVHb6KSCU7QCT355JNx6qmnxhNPPBEnnXRSo/cmTpwY27dvNy0CgA6lN1HpBCcAAIAUnnECAABIITgBAACkEJwAAABSCE4AAAApBCcAAIAUghMAAEAKwQk6oaqqqrjyyiuLcq3Vq1dHVVVVw3b//fe36TqjRo1quMaHPvShotQGQGnQl0BwgmbdeeedDf8g/+///u9u7ydJEgMHDiyZf7AvvPDCuOuuu+L4449v2Ld06dK45JJL4ogjjoi99torBg0aFB/96EfjxRdf3O38q6++Ou66667Yf//9O7JsAP5/ldCXXnjhhZg0aVIMGzYsevXqFfvvv3984AMfiAcffHC38/UlOprgBCl69OgR99xzz277n3zyyVi3bl3kcrkMqmq9E044IaZMmRKDBg1q2HfttdfGokWL4tRTT42bbropLrzwwnjqqafi2GOPjeXLlzc6/8wzz4wpU6bEXnvt1dGlA7CLcu5Lr7zySmzZsiXOP//8uOmmm+Jf//VfIyLiwx/+cCxYsKDR+foSHa1b1gVAZ3fmmWfGD37wg7j55pujW7e//Z/MPffcE6NHj4433ngjw+r2zGWXXRb33HNPdO/evWHfxz72sTjyyCPjmmuuif/6r//KsDoA8innvnTmmWfGmWee2WjfJZdcEqNHj46vf/3rceGFF2ZUGRhxglSf+MQn4k9/+lMsXry4Yd/WrVvj/vvvj/POOy/vOe+8807Mnj07Bg4cGLlcLg477LC4/vrrI0mSRsfV1dXF5z//+aipqYnevXvHhz/84Vi3bl3ea65fvz7+6Z/+KQ444IDI5XJxxBFHxB133LFH93biiSc2Ck0REe9///vjiCOOiN///vd7dG0A2kc596V8unbtGgMHDoy333676NeG1hCcIMWQIUPihBNOiO9///sN+x5++OGora2Nj3/847sdnyRJfPjDH44bbrghTj/99Pj6178ehx12WPzLv/xLXHbZZY2O/fSnPx033nhjnHbaaXHNNdfE+973vjjrrLN2u+bGjRvj7/7u7+LRRx+NSy65JG666aY49NBDY9q0aXHjjTcW9X6TJImNGzeaMw7QSVVCX3rnnXfijTfeiJdeeiluuOGGePjhh+PUU0/d4+vCHkmAvBYuXJhERLJ06dLk1ltvTXr37p28++67SZIkyaRJk5Lx48cnSZIkgwcPTs4666yG83784x8nEZFcddVVja537rnnJlVVVcmqVauSJEmS5557LomI5LOf/Wyj484777wkIpK5c+c27Js2bVpy0EEHJW+88UajYz/+8Y8n1dXVDXXl8/LLLycRkSxcuLCg+77rrruSiEi+853v5H2/6f0C0DEqqS9ddNFFSUQkEZF06dIlOffcc5M333wz77H6Eh3FiBMU4KMf/Wi899578dBDD8WWLVvioYceanY6xM9+9rPo2rVrfO5zn2u0f/bs2ZEkSTz88MMNx0XEbsfNmjWr0eskSWLRokVx9tlnR5Ik8cYbbzRsEydOjNra2li2bFlR7nPFihUxY8aMOOGEE+L8888vyjUBKL5y70uzZs2KxYsXx3e/+90444wzYseOHbF169Y9uibsKYtDQAFqampiwoQJcc8998S7774bO3bsiHPPPTfvsa+88kr0798/evfu3Wj/4Ycf3vD+zv926dIlDjnkkEbHHXbYYY1ev/766/H222/HggULdltRaKdNmza16b52tWHDhjjrrLOiuro67r///ujateseXxOA9lHufWn48OExfPjwiIj41Kc+FaeddlqcffbZ8X//939RVVW1R9eGthKcoEDnnXdeTJ8+PTZs2BBnnHFG7LPPPh3yufX19RERMWXKlGZHgY466qg9+oza2to444wz4u23347/+Z//if79++/R9QBof+Xcl5o699xz46KLLooXX3xxtyAHHUVwggL9wz/8Q1x00UXxzDPPxH333dfscYMHD45HH300tmzZ0ujbvRUrVjS8v/O/9fX18dJLLzVqAitXrmx0vZ0rG+3YsSMmTJhQzFuKiIi//OUvcfbZZ8eLL74Yjz76aIwYMaLonwFA8ZVrX8rnvffei4i/ftEHWfGMExRo7733jttuuy2uvPLKOPvss5s97swzz4wdO3bErbfe2mj/DTfcEFVVVXHGGWdERDT89+abb250XNPViLp27Rof+chHYtGiRbv9KG3EX6dMtNWOHTviYx/7WDz99NPxgx/8IE444YQ2XwuAjlWOfSnfFL9t27bF9773vejZs6cv98iUESdohUIWTDj77LNj/Pjx8aUvfSlWr14dRx99dDzyyCPxk5/8JGbNmtUwd3zUqFHxiU98Ir75zW9GbW1tnHjiifHYY4/FqlWrdrvmNddcE//93/8dY8eOjenTp8eIESPizTffjGXLlsWjjz4ab775ZpvuZ/bs2fHAAw/E2WefHW+++eZuP3g7ZcqUNl0XgI5Rbn3poosuis2bN8cHPvCBOPjgg2PDhg1x9913x4oVK+I///M/Y++9927TdaEYBCcosi5dusQDDzwQX/nKV+K+++6LhQsXxpAhQ+K6666L2bNnNzr2jjvuiJqamrj77rvjxz/+cZxyyinx05/+NAYOHNjouAMOOCCWLFkSX/3qV+OHP/xhfPOb34z99tsvjjjiiLj22mvbXOtzzz0XEREPPvhgPPjgg7u9LzgBlL5S6ksf+9jH4jvf+U7cdttt8ac//Sl69+4do0ePjmuvvTY+/OEPt/m6UAxVSdLkJ6OBsrJ69eoYOnRo3HLLLfHxj388+vTpE927d2/1dd5+++3Yvn17HHvssXHUUUfFQw891A7VAlDu9CVKlWecoEJceumlUVNTEw888ECbzj/55JOjpqYm1q5dW+TKAKhE+hKlxogTlLm//OUv8b//+78Nr4866qjo169fq6/zf//3f7Fly5aI+OuKSkcffXTRagSgcuhLlCrBCQAAIEVJTdVbv359TJkyJfbbb7/o2bNnHHnkkfHrX/8667IAqGB6E0BlKJlV9d56660YN25cjB8/Ph5++OGoqamJP/zhD9G3b9+sSwOgQulNAJWjZKbqXXHFFfHLX/4y/ud//ifrUgAgIvQmgEpSMsFpxIgRMXHixFi3bl08+eSTcfDBB8dnP/vZmD59erPn1NXVRV1dXcPr+vr6ePPNN2O//faLqqqqjigboKIlSRJbtmyJ/v37R5cuJTU7vCB6E0DpaXNvSkpELpdLcrlcMmfOnGTZsmXJ/Pnzkx49eiR33nlns+fMnTs3iQibzWazZbytXbu2AztGx9GbbDabrXS31vamkhlx6t69e4wZMyZ+9atfNez73Oc+F0uXLo2nn3467zlNv9Wrra2NQYMGxcn7fyq6dWn9D60B0Drb67fGE298L95+++2orq7OupyiK2pvOuACvQmgA2yv3xpPbFzY6t5UMotDHHTQQTFixIhG+w4//PBYtGhRs+fkcrnI5XK77e/WpbvmBNCBynUKmt4EULpa25tKZsL5uHHjYuXKlY32vfjiizF48OCMKgKg0ulNAJWjZILT5z//+XjmmWfi6quvjlWrVsU999wTCxYsiBkzZmRdGgAVSm8CqBwlE5yOO+64+NGPfhTf//73Y+TIkfHv//7vceONN8bkyZOzLg2ACqU3AVSOknnGKSLiQx/6UHzoQx/KugwAaKA3AVSGkhlxAgAAyIrgBAAAkEJwAgAASCE4AQAApBCcAAAAUghOAAAAKQQnAACAFIITAABACsEJAAAgheAEAACQQnACAABIITgBAACkEJwAAABSCE4AAAApBCcAAIAUghMAAEAKwQkAACCF4AQAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBSCEwAAQArBCQAAIIXgBAAAkEJwAgAASCE4AQAApBCcAAAAUghOAAAAKQQnAACAFIITAABACsEJAAAgheAEAACQQnACAABIITgBAACkEJwAAABSCE4AAAApBCcAAIAUghMAAEAKwQkAACCF4AQAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBQlG5yuueaaqKqqilmzZmVdCgBEhN4EUM5KMjgtXbo05s+fH0cddVTWpQBAROhNAOWu5ILTn//855g8eXJ861vfir59+2ZdDgDoTQAVoOSC04wZM+Kss86KCRMmpB5bV1cXmzdvbrQBQLHpTQDlr1vWBbTGvffeG8uWLYulS5cWdPy8efPi3/7t39q5KgAqmd4EUBlKZsRp7dq1MXPmzLj77rujR48eBZ0zZ86cqK2tbdjWrl3bzlUCUEn0JoDKUTIjTs8++2xs2rQpjj322IZ9O3bsiKeeeipuvfXWqKuri65duzY6J5fLRS6X6+hSAagQehNA5SiZ4HTqqafG888/32jfBRdcEMOHD4/LL798t8YEAO1NbwKoHCUTnHr37h0jR45stG+vvfaK/fbbb7f9ANAR9CaAylEyzzgBAABkpWRGnPJ54oknsi4BABrRmwDKkxEnAACAFIITAABACsEJAAAgheAEAACQQnACAABIITgBAACkEJwAAABSCE4AAAApBCcAAIAUghMAAEAKwQkAACCF4AQAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBSCEwAAQArBCQAAIIXgBAAAkEJwAgAASCE4AQAApBCcAAAAUghOAAAAKQQnAACAFIITAABACsEJAAAgheAEAACQQnACAABIITgBAACkEJwAAABSCE4AAAApBCcAAIAUghMAAEAKwQkAACCF4AQAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBSCEwAAQArBCQAAIIXgBAAAkEJwAgAASCE4AQAApBCcAAAAUpRMcJo3b14cd9xx0bt37+jXr1+cc845sXLlyqzLAqCC6U0AlaNkgtOTTz4ZM2bMiGeeeSYWL14c27Zti9NOOy3eeeedrEsDoELpTQCVo1vWBRTq5z//eaPXd955Z/Tr1y+effbZ+MAHPpBRVQBUMr0JoHKUTHBqqra2NiIi9t1332aPqauri7q6uobXmzdvbve6AKhcehNA+SqZqXq7qq+vj1mzZsW4ceNi5MiRzR43b968qK6ubtgGDhzYgVUCUEn0JoDyVpLBacaMGbF8+fK49957Wzxuzpw5UVtb27CtXbu2gyoEoNLoTQDlreSm6l1yySXx0EMPxVNPPRUDBgxo8dhcLhe5XK6DKgOgUulNAOWvZIJTkiRx6aWXxo9+9KN44oknYujQoVmXBECF05sAKkfJBKcZM2bEPffcEz/5yU+id+/esWHDhoiIqK6ujp49e2ZcHQCVSG8CqBwl84zTbbfdFrW1tXHyySfHQQcd1LDdd999WZcGQIXSmwAqR8mMOCVJknUJANCI3gRQOUpmxAkAACArghMAAEAKwQkAACCF4AQAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBSCEwAAQArBCQAAIIXgBAAAkEJwAgAASCE4AQAApBCcAAAAUghOAAAAKQQnAACAFIITAABACsEJAAAgheAEAACQQnACAKDo3ht5cLw38uCsy4Ci6ZZ1AUDntHX4gIiI6L5iXcaVANBZFRKMmjum5/L1xS4H2pXgBBVqZzBq63ECFUBlKtYo0s7rCFCUCsEJKkihYam11xKiAMpbe065E6AoFYITVIBiBqaWri9AAZSXjnxGSYCisxOcoIy1d2Bq7vMEKIDSluWiDu+NPFh4olMSnKAMdXRgau7zBSiA0tPW0PTWYd3z7u+7cmubahCe6GwEJygzrQ1NtYfkCj62+qW6VtciPAGUhtYEpuZCUiHHFhqkhCc6G8EJykRrAlNrwlJz5xUaooQngM6v0NDUmsCUdo1CApTwRGciOEEZKDQ0tTUwpV0rLUQJTwCdVyGhqRiBKd812zKND7LSJesCgD1TSGiqPSRX1NDUlutn/dwVALtLC01vHda9VaFpyyH1rfr8Qq6f5UIVsCsjTlDC0sJIIWFpy+Cqgj+v9ytJ6ue1NPpk5Amg82gpkBQSlpoLSfn2936p5e/qjT5RCgQnKFF7EppaE5aaO6+5ECU8AXR+bQ1NrR1RyndecyGqpfDkWSc6A1P1oAS1NTRtGVzV5tDUmmuZtgfQebUlNG05pL7NoSnftaAUGXGCEtNS6GgpMKWpG9T8FIncmha+fRxclXf0KW3kCYCO19rQVEjI2Xto7W77/vxydYvnbDmkPu/Ik1EnOjPBCcpEa0NTS0GppWPzhaidn9E0QLUUnkzZA+hYxQpN+YJSS8c0F6KaC0/QWfnbCiWktVPc8oWmukFbWxWaWnN+vs9rz9X8AChMMULT3kNrCwpNe3peeyx9DsVgxAlKRGun6DUXmpozZMDrefevXleTd//Oa7U0jS+NUSeAbLUmNO2pvYfW7jb6ZNSJUiI4QYkrJDQ1F5iaC0vNHZMvRNUN2tooPOV75snzTgDZaW60qZDQ1FJgOm3Qymbfe2TNYXn35wtPUCpEfCgBzY02tTU0DRnwekGhqdDzmn5Ga6bsWWEPoP20R2g6bdDKFkNTocc097nQWQlOUEYKDU3N+fsDVzRsLWlreAIge20NTa0JQ7ue01Qxpv1BFkzVg06uNaNNu2oaZJoLTM2FpKb7F28Yvtv1mnv+CYDstbQgxK4KDU1tddqglc1O3WtOS8uSQ1aMOEGZaGmEJ19oKmRkKe34ptdNG3UyXQ+gYxQ6RS8tNKWNMn2y76/ik31/1cYqobQYcYIS1DSAFLoYxE6tCUz5zt119MnIE0BlyReUdu67660TC7qGRSIoRYITdGLFGIlpOirUXGg6t8+y3fbdv/nYVn9e01X2AOhYxRxtaiptdKm5ANWW6XrQ2ZiqByWmNc82FRKazu2zLG9oaum9tCl7uyp0uh4A2SlGaComzzfRGQlOUOIKXb2uudBUiELCEwCdV9poUxrPMYHgBJ1WW6bppT3btKtCQ1Nbjweg4xW6kl5L9mQFvUJ5volSVHLB6Rvf+EYMGTIkevToEWPHjo0lS5ZkXRJ0SrtOn2s6OtTeIag1AQ7Kgd5EKUv7XSWjTfBXJRWc7rvvvrjsssti7ty5sWzZsjj66KNj4sSJsWnTpqxLg0x09I/MNg1cuwaylp5zgnKmN9HZtWaaXnuNNhVjYYiey9cXoRJou5IKTl//+tdj+vTpccEFF8SIESPi9ttvj169esUdd9yRdWkAVCi9ic6iGNP0stD7pZL6f0epYK36m1pfXx/XXnttjBs3Lo477ri44oor4r333muv2hrZunVrPPvsszFhwoSGfV26dIkJEybE008/nfecurq62Lx5c6MNSlkxVqQr5jS9XX/PCbKiN0HnkvZbTmnPN1lRj86qVcHpa1/7Wnzxi1+MvffeOw4++OC46aabYsaMGe1VWyNvvPFG7NixIw444IBG+w844IDYsGFD3nPmzZsX1dXVDdvAgQM7olQAOpDeBG2X9nxTMZimR7loVXD63ve+F9/85jfjF7/4Rfz4xz+OBx98MO6+++6or2/dkpYdZc6cOVFbW9uwrV27NuuSoGytXleTdQlUKL0Jmtf0+ab2ljba1FTTaXpGm+jMWhWc1qxZE2eeeWbD6wkTJkRVVVW8+uqrRS+sqf333z+6du0aGzdubLR/48aNceCBB+Y9J5fLRZ8+fRptUOnu33xsu5+bW9OxjZrKpjdB55AvNDUdbbIMOaWsVcFp+/bt0aNHj0b73ve+98W2bduKWlQ+3bt3j9GjR8djjz3WsK++vj4ee+yxOOGEE9r984G26f1K0uh19Ut1GVVCudKboO2aBpl80+rueuvEFkeSmns/LTQVOtpkmh6dRbfWHJwkSUydOjVyub89oP6Xv/wlLr744thrr70a9v3whz8sXoW7uOyyy+L888+PMWPGxPHHHx833nhjvPPOO3HBBRe0y+dBZ1P9Ul1RFoi4f/OxrV4koulok4Uh6Cz0JuiYFfVaMw2vtaEJSkGrgtP555+/274pU6YUrZg0H/vYx+L111+Pr3zlK7Fhw4YYNWpU/PznP9/toVyoFL1fSQr6LafFG4bv9iO4rZE2RW/X55vaMk2v+4p1rT4HdtKboHNpy2IQRpsoBVVJkiTph5WHzZs3R3V1dUzo9+no1sUzGHRuW4cPyLu/6YjTrsGpblDjxtP0R2nzhae0kad8oanpaFNzwanpNL2I/FP1BKfytb1+azy66dtRW1vrWZ5mNPSmgy7Sm9gjzY06pf0Abr6V9dr6Q7j5QpMpenQ22+u3xqOvzW91b2rViBPQueXWdN8tPKVp7WIRhYamfDzfBND5/Pnl6t3C084AVGiAam6UyRQ9yom/vdBJFWMUpukS4Xv6XFJLoQmA0tCa8PLImsOaDUU732tulKmQ0GS0iVJixAlKTNMFIpo+59R01Gn1uppGU/ba8rxTvsDVNDQ1HW0qdDU90/QAspdv1GlXrXluKd+S40IT5UBwggqQLzzt1FKIam6EqrWhCYDs9F25dbfnnHq/1GW3Z512Bp6WAlRLmvuNptaEJujMBCcoA2mjThG7h6edWjt9Ly005WO0CaB0pI0+5Tu+Oa0NTUab6MwEJ+jEuq9Yl3d1vXy/57Qn4akQhT7PZLQJoDTkG3XaqWkY2hmkWgpJTa+dj9BEKbM4BJSoQlaoyzcatHpdTcNWiOaOza3pXtAUPaNNAB2jpeDRXGApdKGIfIs9NEdoolwZcYJOrrlRp3zy/SBuS0uUt3VVvHyBrDWhCYCOl+9Zp4i/BZ3mRp8K1VIIE5ooB4ITlLBCpuxF/C3otPY3nppq7nmm1oYmo00A7aPn8vXN/hBumrYEqLQRq7RFIIQmSongBCWgpVGnQsNTRNsDVEsLQAhNAKWjuVGnXRXrR2qFJsqN4ARloLnwFBEtBqg90dwiEEITQLbSRp12Bpq0ANVWhSw1LjRRiiwOASUiLXQ0F1iKvcpd71eSNoUmADqXYv+WUt+VW4UmypoRJyghaQtF5Bt5imgcnvKNQBUiLYClhSajTQAdp9BnnXYNOm0ZgWpN+BKYKHWCE5SYtoannZoGoHxBqjWjVIWMMglNAB2vtQtF5AtBu4apPRmhEpooB4ITlKBCwlNEtBigdtqTqXxCE0Dntier7EXs+XQ+gYlyIjhBiSrk951aE6AK1ZrnmIQmgOztDC97EqDa+plQTgQnKGGF/jhuMQKUwARQ2vZ09KnQz4ByJThBiSs0PEXkDz/5wtSerI4nNAF0Xu01+iQwUQkEJygDrQlPTRVrCXGBCaB07Bp02hqihCUqjeAEZWJncGlrgNrTzwWgNAlAUBjBCcpMRwUogQkAqCSCE5Sp9gpQAhMAUIkEJyhzTYNOa4OUoAQAIDhBxRGEAABar0vWBQAAAHR2ghMAAEAKwQkAACCF4AQAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBSCEwAAQArBCQAAIIXgBAAAkEJwAgAASCE4AQAApBCcAAAAUghOAAAAKQQnAACAFIITAABACsEJAAAgheAEAACQQnACAABIITgBAACkEJwAAABSlERwWr16dUybNi2GDh0aPXv2jEMOOSTmzp0bW7duzbo0ACqU3gRQWbplXUAhVqxYEfX19TF//vw49NBDY/ny5TF9+vR455134vrrr8+6PAAqkN4EUFlKIjidfvrpcfrppze8HjZsWKxcuTJuu+02zQmATOhNAJWlJIJTPrW1tbHvvvu2eExdXV3U1dU1vN68eXN7lwVABdObAMpXSTzj1NSqVavilltuiYsuuqjF4+bNmxfV1dUN28CBAzuoQgAqjd4EUN4yDU5XXHFFVFVVtbitWLGi0Tnr16+P008/PSZNmhTTp09v8fpz5syJ2trahm3t2rXteTsAlAG9CYB8Mp2qN3v27Jg6dWqLxwwbNqzhf7/66qsxfvz4OPHEE2PBggWp18/lcpHL5fa0TAAqiN4EQD6ZBqeampqoqakp6Nj169fH+PHjY/To0bFw4cLo0qUkZxkC0MnpTQDkUxKLQ6xfvz5OPvnkGDx4cFx//fXx+uuvN7x34IEHZlgZAJVKbwKoLCURnBYvXhyrVq2KVatWxYABAxq9lyRJRlUBUMn0JoDKUhJzCqZOnRpJkuTdACALehNAZSmJ4AQAAJAlwQkAACCF4AQAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBSCEwAAQArBCQAAIIXgBAAAkEJwAgAASCE4AQAApBCcAAAAUghOAAAAKQQnAACAFIITAABACsEJAAAgheAEAACQQnACAABIITgBAACkEJwAAABSCE4AAAApBCcAAIAUghMAAEAKwQkAACCF4AQAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBSCEwAAQArBCQAAIIXgBAAAkEJwAgAASCE4AQAApBCcAAAAUghOAAAAKQQnAACAFIITAABACsEJAAAgheAEAACQQnACAABIITgBAACkEJwAAABSCE4AAAApBCcAAIAUJRec6urqYtSoUVFVVRXPPfdc1uUAgN4EUAFKLjh94QtfiP79+2ddBgA00JsAyl9JBaeHH344Hnnkkbj++usLOr6uri42b97caAOAYtKbACpDyQSnjRs3xvTp0+Ouu+6KXr16FXTOvHnzorq6umEbOHBgO1cJQCXRmwAqR0kEpyRJYurUqXHxxRfHmDFjCj5vzpw5UVtb27CtXbu2HasEoJLoTQCVJdPgdMUVV0RVVVWL24oVK+KWW26JLVu2xJw5c1p1/VwuF3369Gm0AUBL9CYA8umW5YfPnj07pk6d2uIxw4YNi8cffzyefvrpyOVyjd4bM2ZMTJ48Ob773e+2Y5UAVBK9CYB8qpIkSbIuIs2aNWsaPTz76quvxsSJE+P++++PsWPHxoABAwq6zubNm6O6ujom9Pt0dOvSvb3KBeD/t71+azy66dtRW1tbdiMrRe9NB12kNwF0gO31W+PR1+a3ujdlOuJUqEGDBjV6vffee0dExCGHHFJwYwKAYtKbACpLSSwOAQAAkKWSGHFqasiQIVECMwwBqCB6E0B5M+IEAACQQnACAABIITgBAACkEJwAAABSCE4AAAApBCcAAIAUghMAAEAKwQkAACCF4AQAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBSCEwAAQArBCQAAIIXgBAAAkEJwAgAASCE4AQAApBCcAAAAUghOAAAAKQQnAACAFIITAABACsEJAAAgheAEAACQQnACAABIITgBAACkEJwAAABSCE4AAAApBCcAAIAUghMAAEAKwQkAACCF4AQAAJBCcAIAAEghOAEAAKQQnAAAAFIITgAAACkEJwAAgBSCEwAAQArBCQAAIIXgBAAAkEJwAgAASCE4AQAApBCcAAAAUghOAAAAKQQnAACAFIITAABAipIKTj/96U9j7Nix0bNnz+jbt2+cc845WZcEQIXTmwAqQ7esCyjUokWLYvr06XH11VfHKaecEtu3b4/ly5dnXRYAFUxvAqgcJRGctm/fHjNnzozrrrsupk2b1rB/xIgRGVYFQCXTmwAqS0kEp2XLlsX69eujS5cuccwxx8SGDRti1KhRcd1118XIkSObPa+uri7q6uoaXtfW1kZExPb6re1eMwB/+/c2SZKMKyk+vQmgNLW5NyUl4Pvf/34SEcmgQYOS+++/P/n1r3+dfOITn0j222+/5E9/+lOz582dOzeJCJvNZrNlvL300ksd2DU6ht5ks9lspb21tjdVJUl2XwNeccUVce2117Z4zO9///tYtmxZTJ48OebPnx8XXnhhRPz1G7sBAwbEVVddFRdddFHec5t+q/f222/H4MGDY82aNVFdXV28G+lkNm/eHAMHDoy1a9dGnz59si6n3VTKfUZUzr26z/JTW1sbgwYNirfeeiv22WefrMspiN7UPirl732l3GdE5dyr+yw/be1NmU7Vmz17dkydOrXFY4YNGxavvfZaRDSeN57L5WLYsGGxZs2aZs/N5XKRy+V2219dXV32fyEiIvr06eM+y0yl3Kv7LD9dupTOIq56U/uqlL/3lXKfEZVzr+6z/LS2N2UanGpqaqKmpib1uNGjR0cul4uVK1fGSSedFBER27Zti9WrV8fgwYPbu0wAKojeBEA+JbE4RJ8+feLiiy+OuXPnxsCBA2Pw4MFx3XXXRUTEpEmTMq4OgEqkNwFUlpIIThER1113XXTr1i0++clPxnvvvRdjx46Nxx9/PPr27VvwNXK5XMydOzfvFIly4j7LT6Xcq/ssP+V+r3pT4dxn+amUe3Wf5aet95rp4hAAAACloHSe1gUAAMiI4AQAAJBCcAIAAEghOAEAAKSo6OD005/+NMaOHRs9e/aMvn37xjnnnJN1Se2mrq4uRo0aFVVVVfHcc89lXU7RrV69OqZNmxZDhw6Nnj17xiGHHBJz586NrVu3Zl3aHvvGN74RQ4YMiR49esTYsWNjyZIlWZdUdPPmzYvjjjsuevfuHf369YtzzjknVq5cmXVZ7e6aa66JqqqqmDVrVtalFN369etjypQpsd9++0XPnj3jyCOPjF//+tdZl1US9KbyUM59KaL8e5O+NCvrUtrFnvamig1OixYtik9+8pNxwQUXxG9/+9v45S9/Geedd17WZbWbL3zhC9G/f/+sy2g3K1asiPr6+pg/f3688MILccMNN8Ttt98eX/ziF7MubY/cd999cdlll8XcuXNj2bJlcfTRR8fEiRNj06ZNWZdWVE8++WTMmDEjnnnmmVi8eHFs27YtTjvttHjnnXeyLq3dLF26NObPnx9HHXVU1qUU3VtvvRXjxo2L973vffHwww/H7373u/jP//zPVi3RXan0pvJRrn0pojJ6k75UforSm5IKtG3btuTggw9Ovv3tb2ddSof42c9+lgwfPjx54YUXkohIfvOb32RdUof4j//4j2To0KFZl7FHjj/++GTGjBkNr3fs2JH0798/mTdvXoZVtb9NmzYlEZE8+eSTWZfSLrZs2ZK8//3vTxYvXpx88IMfTGbOnJl1SUV1+eWXJyeddFLWZZQcvek3WZfU7sqhLyVJZfYmfan0FaM3VeSI07Jly2L9+vXRpUuXOOaYY+Kggw6KM844I5YvX551aUW3cePGmD59etx1113Rq1evrMvpULW1tbHvvvtmXUabbd26NZ599tmYMGFCw74uXbrEhAkT4umnn86wsvZXW1sbEVHSf34tmTFjRpx11lmN/mzLyQMPPBBjxoyJSZMmRb9+/eKYY46Jb33rW1mX1enpTeWv1PtSROX2Jn2p9BWjN1VkcPrjH/8YERFXXnllfPnLX46HHnoo+vbtGyeffHK8+eabGVdXPEmSxNSpU+Piiy+OMWPGZF1Oh1q1alXccsstcdFFF2VdSpu98cYbsWPHjjjggAMa7T/ggANiw4YNGVXV/urr62PWrFkxbty4GDlyZNblFN29994by5Yti3nz5mVdSrv54x//GLfddlu8//3vj1/84hfxmc98Jj73uc/Fd7/73axL69T0pvJWDn0pojJ7k75UHorRm8oqOF1xxRVRVVXV4rZzznFExJe+9KX4yEc+EqNHj46FCxdGVVVV/OAHP8j4LtIVep+33HJLbNmyJebMmZN1yW1W6L3uav369XH66afHpEmTYvr06RlVTlvNmDEjli9fHvfee2/WpRTd2rVrY+bMmXH33XdHjx49si6n3dTX18exxx4bV199dRxzzDFx4YUXxvTp0+P222/PurRM6E3l1Zv0pcqjL5WHYvSmbu1YX4ebPXt2TJ06tcVjhg0bFq+99lpERIwYMaJhfy6Xi2HDhsWaNWvas8SiKPQ+H3/88Xj66acjl8s1em/MmDExefLkkvj2t9B73enVV1+N8ePHx4knnhgLFixo5+ra1/777x9du3aNjRs3Ntq/cePGOPDAAzOqqn1dcskl8dBDD8VTTz0VAwYMyLqconv22Wdj06ZNceyxxzbs27FjRzz11FNx6623Rl1dXXTt2jXDCovjoIMOavTva0TE4YcfHosWLcqoomzpTX9TDr2pkvtSROX1Jn2pPPpSRHF6U1kFp5qamqipqUk9bvTo0ZHL5WLlypVx0kknRUTEtm3bYvXq1TF48OD2LnOPFXqfN998c1x11VUNr1999dWYOHFi3HfffTF27Nj2LLFoCr3XiL9+ozd+/PiGb2m7dCntAdXu3bvH6NGj47HHHmtYjri+vj4ee+yxuOSSS7ItrsiSJIlLL700fvSjH8UTTzwRQ4cOzbqkdnHqqafG888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" ] @@ -527,12 +511,12 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -595,7 +579,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.3" + "version": "3.11.8" } }, "nbformat": 4,