{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Qiskit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "QLauncher is compatible with qiskit backends and features many qiskit-based algorithms." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start by defining a problem to be solved, we will use Exact Cover in this tutorial." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from qlauncher.problems import EC\n", "\n", "pr = EC.from_preset(\"default\")\n", "pr.visualize()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Quantum Approximate Optimization Algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Algorithm we're going to use is Quantum Approximate Optimization Algorithm (QAOA), let's initialize it!" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from qlauncher.routines.qiskit import QAOA\n", "\n", "alg = QAOA()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we need to define the backend our algorithm will run on, you can use a local simulator or a real quantum computer if you have access to one, for now let's stick to the simulator." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from qlauncher.routines.qiskit import QiskitBackend\n", "\n", "backend = QiskitBackend('local_simulator')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use QLauncher to launch QAOA on the selected backend." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Result(bitstring=101010, energy=2.1142578125)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qlauncher.launcher import QLauncher\n", "\n", "launcher = QLauncher(pr, alg, backend)\n", "result = launcher.run(onehot=\"exact\")\n", "result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Be careful! QAOA returns reversed bitstring!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The results correspond to the following matching:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pr.visualize(result.best_bitstring[::-1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "as you can see QAOA solved this problem with flying colors." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "QLauncher allows you to easily test different combinations of problems, algorithms and backend simply by swapping out the arguments, let's try out the Max Cut Problem:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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g2XJdrOri3KOLVl0QeocXeCjNTRe3auu7evXqL9y2ggO1bQ69uFMgpgu20HQ4r5Oax9v3pb4Xu3Wlrm16rLTZZih1XNLjqFWwUPpdQ2sHNH6tWMyZM+eCM8rqBKULa82yh6bteGpqPRwrVBulmolQet61OhCawqjnrabnTI9J9Rn1xx9//IL1RZeix1lBp4JvBUWhvPtRTZNeb+pYd/bs2Xo/3nrtq5OcAhC9T9SB61IrUUo3rD4ujUVjDn289LXqLb2feeaZLzwuNT1+2ndKKXt1pUBJq03qoKdVq5p4r+HQ+1SL6+rvcQXvtX2fep0RNVESSqmLos50ABIXKzNAArlYDYBHFwa6SFALX6WmHT9+3NWTaBZ7y5YtVd+nr6sYXrO+XutbXdCrGF1pJtrn4WIpWUrD0eytAhyltOkiSRd/+rpaqCqlTbPP3l4zKmhX8KRx6XuVsqKLRG8W3aN/K4VOM+K6ANRFsork65uvfykKDPUYKPBS0KeaCKVSKUDR7HX18alWQ8GJUq208qVUPlFL6wtRIKNAVG2s1ZpWQaNWcZS6pFolPW7Vg6lYodQovT7U2lu1QQpslC6ni161IPYogNAKl157qkHS86XnTfUi+n6ll6mwWxfF+r761nvosVSgqdeTUiD1GtfrTO2cFUio3kOvW7UXViCq+hY1OVAjCAUAen3rNtTy+VIUzOr2FYSK1zb8YjQRoLozvcb1+yqFUI0otAoR2oZY41ebaj2GakGs8Ws1tfpqix4/3a9+B+0dpbbMWi0NXc2sLb1mFcj9/d//vdsvJ9SwYcPcofvT+1orwTqXaEVK70X9LqGBoRod6GsK8vS6UPqb3hs11TLpPaVzl4I1BT8KCtUeW8+V0tn0/gOQwPxupwYg8q2ZL6am1szPPfeca02rdqYDBw50t1W9XepNN93kWtzu37//vJ9944033Pf913/9V63Gqbat//Iv/1I5dOjQyubNm7t2tmoDrfa1av0c6tFHH63s0qWLG9fkyZNdi+PqrZm9MQwePLgyOTn5km2aa/s4qd2t2gfXRK2T1QK4c+fOlU2aNHGPnVrrhrb1DW1v/Ic//KHq8VWLarU5rmlMXmtmj75P7YLVDlePU58+fSrvueee81o9X2iceoyGDBlSq+e/Lq2Zq7dcrt7id+/eva4lr8aqMauVt9qCqxV2KLUtnjZtmmshrZ/32gvr9XHvvfdWtmvXrrJFixbu99f3Vm9BfKHn0Rtn9cf4zTffrJw0aZK7v5YtW1aOGzeu8k9/+tN536O20nqdq023nivd56233lq5cOHCytraunWru3/9vH6X6qo/Xrm5ue5x1vtOz6Oea7WR/stf/nLez6nd8j/8wz+4x0XvGz0uagNeU2tmtSTu1KmT+131vlFr6+rvm9q0Ztb3e+3Fqx9ei2W95tUWXOPwXt9vv/22G5O+FmrVqlWVo0ePrmzatOl5t1FTS+hz585V/tu//Ztrja33WLdu3dw5Qr9fbV7PNZ0nAMSHRvqP3wEVAAAAANQVNTMAAAAAAolgBgAAAEAgEcwAAAAACCSCGQAAAACBRDADAAAAIJAIZgAAAAAEEsEMAAAAgEAimAEAAAAQSAQzAAAAAAKJYAYAAABAIBHMAAAAAAgkghkAAAAAgUQwAwAAACCQCGYAAAAABBLBDAAAAIBAIpgBAAAAEEgEMwAAAAACiWAGAAAAQCARzAAAAAAIJIIZAAAAAIFEMAMAAAAgkAhmAAAAAAQSwQwAAACAQCKYAQAAABBIBDMAAAAAAolgBgAAAEAgEcwAAAAACCSCGQAAAACBRDADAAAAIJAIZgAAAAAEEsEMAAAAgEAimAEAAAAQSAQzAAAAAAKJYAYAAABAIBHMAAAAAAgkghkAAAAAgUQwAwAAACCQCGYAAAAABBLBDAAAAIBAIpgBAAAAEEgEMwAAAAACiWAGAAAAQCARzAAAAAAIpGS/BwAA8ai8stJyisrtWGGZO86WVVh5RaUlNW5kLZIbW8fmye7ITE2ypEaN/B4uAACB1KiysrLS70EAQLw4XVpum3KLbWNusRWXV1YtgVeEfE/ov1OSGtnIdik2ol2KZTRN8mXMAAAEFcEMAIRBcXmFLc4qsM15JaZ1lrqcWL3vH962mc3skmbNksgABgCgNghmAKCB9p0ptbcP5FthWWWdgpiagpq05EY2r0e69WrZNIwjBAAgPhHMAEADrM8psgWHC+q8GnMh3u3M7ppmozNTw3CLAADEL3IZAKCBgYyEa1bIux3drm4fAABcGMEMANQztcwLZCJFt6/7AQAANSOYAYB6FPurRibSDZV1++8cyLeS8tBeaAAAwEMwAwB1pK5lDS32rw3dfkFZpS3KiuwKEAAAQUUwAwB1cKqk3LVfjlbnFN2P7k/71wAAgPMlV/s3AOAiNucV17lz2eb3X7Nlv33cju/bZU2apVifsVPsyu//i7Xt1qtWP6/700ac0zun1XvcAADEI1ZmAKCWyisrbWNucZ0CmbWv/8Fe/Kdv2JHtn1h6uw5WUVFuny58256+d57l52bX6jZ0f7pf3T8AAPgbghkAqKWconIrLq99QFF2rtTe//l/uL9fdsU19vdvrbMfv7LKmqW1sLMncmzxrx+r9W3pfnX/AADgbwhmAKCWjhWW1en7D2/daAWn8tzfh1xxrfuzZWZH6zZ0jPv7zlWLInr/AADEO4IZAKhDMFGXk+bp7CNVf2/Rut3f/t4m8/P/fyyr1rel+yWYAQDgfAQzAFBLZ8sqLCw7vtSj9kX3W1DGfjMAAIQimAGAWiqvqFsQktGhc9Xfz57M/cLfMzp2qdPtldXx/gEAiHcEMwBQS0mN1SS59roOGWnNW7Vxf9+68C3355mcY3bok3Xu7/0nzazT7SXX8f4BAIh3BDMAUEstkhvX6aSZ3KSpzf3O/3B/Vzvm/752jP3kS5OspOCspbVqazPu/UGtb0v3m5bMKRsAgFB8MgJALXVsnlznmplxX7rLbv2PX1inAZdZfs4xa2SNbMjMefat599xnc1qq+Kv9w8AAP6mUWUlu7ABQG2om9jzO075dv/3DGhFQAMAQAhWZgCgljJTkywlyZ+6lcrSYvvglRdt8+bNVlpa6ssYAACINazMAEAtnTlzxl7evN+ym3e0Ro2jNxek8Kln5Wkr2rLcDhw4YE2aNLFBgwbZ8OHDrWfPntY4imMBACCWEMwAwCWcPHnSVqxYYZs2bbImLduYTb3VrFF0V2geGNLaMpom2alTp2zLli3uyMvLs/T0dBs6dKgLbNq3bx/VMQEA4DeCGQC4gNzcXBfEKHBITU21iRMn2tixY21RdqltySuxaJw8FTINa9vMruqeft7Xdeo+cuSISzv79NNPraioyDp27GjDhg1zwU2LFi2iMDoAAPxFMAMA1WRnZ7sgRkGCVj4mTZpko0ePduldUlJeYc9uO2kFZZURDWgUyKQlN7L7B7e2ZkkXTiUrLy+3Xbt2uaBr586dVlFRYX369HGBzcCBA6vGDQBAvCGYAYC/0krH8uXLbfv27ZaRkWFTpkyxESNGWHLyFzuI7TtTan/ecybiY7qtT0vr1bJprb9fKzRbt251gc2hQ4esadOmNnjwYBfYqL6mUZTT4wAAiCSCGQAJTxf9y5Yts927d1ubNm1s6tSpLlUrKSnpoj+3PqfIFhwuiNi45nRNs1GZqfX++RMnTlTV16juRwGafi8FNpmZmWEdKwAAfiCYAZCQdOrbv3+/C2L0py7uFcQMGTKkTt3BvIBG6x3hOJl6t9PQQKb673r48GFXX6NVm+LiYuvcubMLai677DJLS0sLy/0AABBtBDMAEopOeVqBUTqZVmRUND9t2jRXW1LfFCylnL1zIL/BNTRejcy8Hul1Si2ri7KyMldfo8BGf0rfvn1dYDNgwIAaU+oAAIhVBDMAEoJOdTt27HArMUePHrWuXbu6IEYX8uGoIykur7DFWQW2Oa9Ed1an1s3easzwts1sZpe0ixb7h1NhYaFrcqA0tKysLGvWrJlbmVJg0717d+prAAAxj2AGQFxTZ69t27a5lZjjx49bjx49XBDTq1eviFysnygqtWfeXW5JPYdYeePPVzkUmlSEfE/ov1OSGtnIdik2ol2K20fGL9qzRqs1n3zyidvLplWrVi6o0dG2bVvfxgUAwMUQzACIS2pXrAtztVjWhbpaFasmRsFMJKk18p/+9Cf7xje/ZY1atrVjhWXuKCirsLKKSktu3MjSkhtbx+bJ7shMTbKkGFoB0UfCwYMHXWCjILCkpMStYimo0apN8+bN/R4iAABVCGYAxBXVhOhCXEGMVhhUB6IgpkuXLlG5/1dffdWOHTtm3/72ty3ozp0754IzPZ6qM9JKVv/+/V1g069fP+prAAC+I5gBEBd04b1hwwZbtWqVnTlzxq0iaJ8YFfhHS2lpqT3yyCMueNIRTwoKClx9jQIb1RylpKS4TmgKbLRyQ30NAMAPTKsBCDQFEGvXrrXVq1e7gnbto6Igxo99VLSKoaBKF/nxRu2bx48f746cnJyq+pp169a5vXm8+prWrVv7PVQAQAJhZQZAIGmvlI8//tjWrFnj6jqGDx/ughhdWPtFtTIKqL7+9a9bIu3Vo25oqq9RYKkuaApqBg8ebKmp4dknBwCACyGYARAoChYUwCiQUX3MqFGjbPLkyW53e7/H9eijj9qcOXPc6kWi0YrU9u3bXWCzZ88et/Go6pUU2Kj9dVKSf53aAADxizQzAIFw9uxZVw+jtCYZM2aMTZw40dLT0y0WfPbZZ26lQrU6iahJkyYuxU9Hfn5+VX3Niy++6Dqg6XHR6lnnzp2prwEAhA0rMwBi2unTp10Qo+J+ze6PGzfOJkyYEHMtgn/729+68X3lK1/xeygxJTs7u6q+RgGp9qzx6mu0lw0AAA1BMAMgJp08edK1V960aZPbmd4rPlcXrVij7mk//elP7frrr7cRI0b4PZyY3bx03759Lg1Nq1hKS9OeP1qtUX2NnmMAAOqKYAZATMnNzXVBjC56tfqiVDKllMXyxa5WjhYtWmR/93d/F9PjjBVqFKCARs/x3r173X41AwcOdKs12txU9TYAANQGwQyAmElHWr58uW3dutXVwaioX8X9qsWIdc8884xLmbr11lv9HkrgaFVLKWhKRVPLZ7WAVmtrrdhojyDqawAAF0MwA8BXR44csWXLltmOHTtcQKAgRqlaQdldXitJTz75pAtkBg0a5PdwAksfRceOHXOrNQputEmn9gry6mtatmzp9xABADGIYAaALw4ePOhWYnbv3u32hpk6darrhBW0Fr5LlixxraIfeuihwARgQaivUXtnBTZq96wW3L169XJBjQJGUvkAAB6CGQBR32RRKzH6UzPv06ZNcwXgQayT0O/zxBNPuI0iVfyP8NOGqNqQU4GNXjNKO1R9jdLQFOAE8XUDAAgfghkAEafTjFZgFMQcPnzYOnXq5FZidFEa5JoIpcg9++yzrh2zCtcRWadOnXIpaApslN7XokULt5qnwKZDhw5+Dw8A4AOCGQARo9OL0oSUTnb06FHr2rWrW4nRjvBBDmI877//vru4/vGPf8wKQZRfVwokFdRoc87CwkIXzCgNTcFNrGykCgCIPIIZABGpeVBqkIKY48ePW8+ePV0Qoz/jIYjxfsfHHnvM1XBcddVVfg8nYZWXl7tVPwU2aiKh56V3794usNHKX9OmTf0eIgAggqhWBRDWC0utVGifmLy8PLcCM2/ePFdTEm8OHDhg+fn5biUA/lHDiAEDBrijuLjYtfZWYPPaa6+5QEbBptLQ4imQBgD8DSszABpM3aY2bdpkK1eudHUNurBUTUyXLl0sXr355ptuR/vvf//7XCTHoJMnT7qgRseJEydca2evvkaNJwAA8YFgBkC9nTt3zjZs2OCCGK1SDBkyxAUx8V6MreDt0UcftbFjx9rMmTP9Hg4uQh9xWVlZblNO1ddo9UYNKLz6Gm3SCQAILoIZAPVql7tu3TpbvXq1K77WheGUKVOsXbt2lghUm/Hiiy/at7/9bWb5AxaE7tq1y63W7Ny50wU6SoXU61eriWr7DAAIFoIZALWmWe2PPvrIHQpoRowY4YKY1q1bWyJ5+eWXXWvgb33rW34PBfWkINyrr1G7cG3Eqf2OlIamGi9SBwEgGAhmANTqwk+73H/88ceuyH/UqFE2adIky8jIsERTWlpqDz/8sE2fPt0Fcgg+Navw6mtU86XXtVZrdCTKaiMABBXBDIALOnv2rK1atcqllMmYMWNcEKPNChOV1ynrBz/4gbVq1crv4SCM9HF46NAhV1+jVRutPqqJhYKayy67zJo3b+73EAEA1RDMAPiC06dPu6J+FfcnJyfbuHHjbMKECVzMmdkLL7zgLnLvvfdev4eCCNfXqK5GgY32sZF+/fq5wKZ///7ufQEA8B/BDIDz2tlqo0tdwKmGYPz48e5ISUnxe2gxoaCgwHUx0yaZ6mSGxHne1QlNq3JHjhxx7wd17lNg061bN+prAMBHTC0BcMXsCmK04aVWX9RuWCllCmjwN9u2bXN/qlAciUPtm73AXu8VBfsKbNavX++aX3j1NW3atPF7qACQcFiZARJYdna2C2JUH5Cenm6TJ092xf20qK3Zb37zG7er/J133un3UOAzfXQeOHDABTYKctUYQqs0Cmq0apOamur3EAEgIRDMAAlImwgqiNF+KSpiV1cutaSlDuDidUSPPfaY3Xjjje6CFQjdPFbvJQU2e/bsscaNG7u6Gr1OVGeTlJTk9xABIG4RzAAJ5ODBg7Zs2TJ3wdW2bVsXxGgXdC62Lk0NEZYsWWIPPfQQ6Xe4aAdApWsqDe3YsWNuhUYrNZosUGc06msAILwIZoA4p7f4vn373ErM/v37rX379jZ16lRX96EZZNTO008/7fYcufnmm/0eCgLi+PHjbrVGwU1+fr6bQPDqa2jrDQDhQTADxCm9tXft2uWCGO1w3qlTJ5s2bZoNGDCA2eE6ysnJsaeeespuu+02GzhwoN/DQcBUVFS4iQSt1qi+RmlpPXr0cEGNJhXoFggA9UcwA8QZvaW3b9/u0smU5tK1a1cXxPTt25cgpp4WLVpka9eutQcffJC6IjSIGgXo/anAZu/evW51VAGyAps+ffqQ8gkAdUQwA8TR7K+6kmklRisJPXv2dEGM/iSIqT+dIh9//HH3OF533XV+DwdxRKlnSkFTKppS0tQW/bLLLnP1NVpJ5X0LAJdGMAMEXHl5ubsgUhBz4sQJtwKjmpju3bv7PbS4oBS95557zu666y7r1auX38NBnNIqqoIabc6pJgKqz1JQowYdGRkZfg8PAGIWwQwQUGVlZbZp0yZbsWKFaxusVBUFMZ07d/Z7aHHlvffec3UOP/rRj2iYgKissCr9TGlon332mXufa1VQgc2gQYPopAcA1RDMAAGj4mHtPL5q1SqXpqK2rwpiOnTo4PfQ4vLC8ic/+YmbHZ87d67fw0GCKSkpcQGNAht1JFS9lgIa1df07t2b4BoAzIxKViBAFzYqQl+9erUVFRW5CxrtE6N0FESGOlAVFBS4OgYg2rQKM2LECHdo9dWrr9GfLVq0qKqv6dixo99DBQDfsDIDxDgFLh9//LGtWbPGdULShY2CmNatW/s9tLj3xhtvuI1Gv/vd71KMjZigj+yjR4+61RoFNYWFhW7vKG//mvT0dL+HCABRRTADxCitCCiA0WqMivxHjRplkyZNohg4SlSr8Mgjj9j48ePt8ssv93s4wBfovLBnzx4X2Kjds9Ii1aRCqzWqoWvatKnfQwSAiCPNDIgxqoNRPYzqYmTs2LE2ceJEl1aC6NGGo0rtU70MEIu0J03//v3dUVxc7BpVKLB57bXXrEmTJm5DTq3WqIEA9TUA4hUrM0CMUE78ypUrbcOGDa7Qd9y4cTZhwgS39wSi76WXXnKtrr/5zW/6PRSgTk6dOuWCGh15eXku9UxBuVZslJIGAPGEYAbwmS6Y1V5Zhb0q+FUAo0AmJSXF76ElLK3IPPzwwzZz5kyX2gcEkT7es7KyXFCj/WtUf6dmAVqtUXDDai+AeEAwA/gkJyfHBTEq4tXqiy6ax4wZQ557DND+PSr+194yLVu29Hs4QFjqa5Q6qcBm586drr6mT58+LrBRfY3S0gAgiAhmAB92+l6+fLnLb1f6x+TJk11xPxcTseMPf/iDawBwzz33+D0UIOy0QrN161YX2Bw6dMhNoKi+RmloPXr0oHMfgEAhmAGiROkeCmJ27NhhrVq1cu2VdfGg+hjEjrNnz7qNMq+++mq3UgbEe5qrV19z8uRJ1y3Rq69hDysAQUAwA0SY9ilZtmyZa6Hatm1bmzp1qtvsTp2IEHu0p8/7779vDz74IM0XkDB0KaBVGgU1WrVRd7TOnTu7NDSdr9LS0vweIgDUiGAGiAC9rfbt2+eCmAMHDrgOQgpilMpBi9TY9txzz7kg5o477vB7KIAvlGKpuhoFNqqzkb59+7rAZsCAAawmA4gpBDNAGOntpA9/pZMdPnzYOnXqZNOmTXMXAOShxz6l2fz85z+3m266if1lADMrLCx0ndAU2ChVVh0XhwwZ4gKb7t27c14D4DuCGSAM9DbSDtxaiVGBf7du3VwQo25BfNgHh4JQHQ899BBd5YBqcnNzq+prtC+Wav8U1OhQCi0A+IFgBmgAtTdVfrkugNVquVevXi6dTDtuE8QEzy9+8QuXEvilL33J76EAMUuXDUqfVVCjrozal6lr165V9TWpqal+DxFAAiGYAeq5Z4M+yLVPjLoBKZ9cKzFakUEwZWdn29NPP+1qZfr37+/3cIBAOHfunOvQqPPh7t273SSO3j8KbPr160d9DYCII5gB6lgYu3HjRlu5cqVLs9Bmc1qJUdcfBNvChQtt/fr1rosZneaA+rU19+prjh49aikpKW6lRoGNVm5YrQYQCQQzQC1nH3Whu2rVKsvPz3cf0ApilJKE4NNp8Gc/+5mrcbr22mv9Hg4QeEq73bx5s33yySd25swZa9OmTVV9TevWrf0eHoA4QjADXIRywdeuXWurV692u2ZrI7nJkyezmVyc0f4av/71r+3uu+929U4AwldXqPoaBTafffaZlZaWui5oCmrUFU2rNwDQEAQzQA0UuHz00Ufu0IfvyJEjXRDDjGJ8evfdd103uh/96EekwgARonOp6msU2Ozdu9ftuaW29QpsVHdIeieA+iCYAUIUFBTYmjVr3C7wmlEcNWqUC2Jatmzp99AQIXqeH330UbfqNmfOHL+HAyQEpesqBU31NWq+oY1qvfoa1SAyqQCgtghmgL9+sKoeRnUxMnbsWJs4caK1aNHC76EhwtSB6Y9//KN94xvfcJucAoguBTNefY2aCCiN16uvycjI8Ht4AGIcwQwSmjqSqb2yOpSphej48ePdoVlCJIbXX3/dDh8+bN/5zneYDQZ8XiXdt2+fW61RfY0ar6iGTUHN4MGDrVmzZn4PEUAMIphBQtLeMApiNBuoD8gJEybYuHHjKEZNMLpYeuSRR2zSpEk2ffp0v4cDIKT5iurYdI5WgKPJJrXCV2CjroOqtwEAIZhBwrULVRCjdAatvugidsyYMda0aVO/hwYfaPfyl156yb773e9a27Zt/R4OgBqotbPO2QpsdA5PS0tz9TWqc+vYsSMrqkCCI5hBQjh27JgtX77cXbyqmF9F/epQ1qRJE7+HBh/9+c9/dhdK999/v99DAXAJulzRuVxBjTbnVMOWzMxMF9QMHTqURi1AgiKYQVzLysqyZcuW2c6dO61Vq1Y2ZcoUGzFiBC1AYcXFxS7F7IorrnDNHgAEq75mz549rr5G6WhlZWXWq1cvF9gMGjSI1XYggRDMIC5pkzYFMdrLQOlDU6dOdTN35FnDo6YPb775pv34xz+29PR0v4cDoAETE2oYoMBm//79bsVdAY3qaxTgcN4H4hvBDOKGXsoKXpROpmCmffv2Nm3aNPehxocZqvv973/vXjN33XWX30MBECanTp2qqq/Jy8tzExVefU2HDh38Hh6ACCCYQeDpJbxr1y63EqO0Mm24ppUY7SxNYSgutK/QT3/6U7vmmmvcxqgA4u9z4ciRIy6o2bp1qxUWFrpgRqs1WqVnNRaIHwQzCCy9dJVaoJUYFYV269bNrcSobSdBDC5mzZo1tmDBAnvooYcsNTXV7+EAiKDy8nK3Oa7S0Hbs2OHqbXr37u1Wa9TumUYwQLARzCBw9EGkTjZqsaw2ncqJVhDTo0cPghjUyq9+9Str0aKF3X777X4PBUAUFRUVua6WCmwOHjzoGgVoQ06t2GiDTj5DgOAhmEGgZtf0AaQgRpte9uvXz6WTaUUGqC29dh5//HG7+eabbciQIX4PB4BPTp486T5TlIqmv6u1s1LQtGKjls8AgoFgBjFPLTfVeWrlypV2+vRplxaglZhOnTr5PTQEkGqr9FpSihnpJQB0GXT48GEX2GjVX93R9Pni1ddok04AsYtgBjGrtLTU1q9fb6tWrXKbo2kWXSsx6lIG1IdOd0899ZRrEnHjjTf6PRwAMTh5poYyCmy0P5nOGX379nWBjZrKMAECxJ5kvwcAVFdSUmJr16611atXu/xmLflrs0vtFwM0RHZ2tuXm5tqcOXP8HgqAGJScnOza+etQBzR1QlNg88orr1izZs1cfY0+k7p37059DRAjWJlBzFDg8tFHH7nj3LlzNmLECBfEtGrVyu+hIU6og9mmTZvcRplJSUl+DwdAQGjPGgU1OrSXTUZGhlutUWDDRBvgL4IZ+E4pZFqF0WqMOpWNHj3aJk2a5IoxgXDRqe6xxx6z/v3727x58/weDoCAnkfUBU1BjVZtlEnQpUsXF9hoc87mzZv7PUQg4RDMwNeNC1WIrbqYxo0b25gxY2zixImuZS4QbgcOHLDnn3/e7r33XpciAgANra/RvjUKbLSPjajLpgIbTZooZQ1A5BHMIOq0RK8gRh3KdLIfP368O5jRQiS9/fbb7oLjBz/4AbnuAMKeYaBOaApsjhw5YikpKa5pjdLQunbtyjkHiCCCGUR1f4/ly5e7k70KKbUKM3bsWHfSByK9R9Gjjz5qo0aNslmzZvk9HABxTJs5e/U1Z86csdatW7vVGh1t2rTxe3hA3CGYQVRO7ApiNGul1RfVwyilTDsvA9GgVqsvvPCCffOb37SOHTv6PRwACUCXV0pv1aac27Ztc9sNaJNnBTVatUlNTfV7iEBcIJhBxBw7dsxtUPjZZ5+5Yv7JkyfbyJEj6dOPqHv11Vfd6/GBBx4g3QNA1KlD5/bt291qzZ49e1ydqOpqFNiozobuikD9Ecwg7LSTslZitOGYltfVXll5w5ys4ddFxMMPP+xeh9OmTfN7OAAS3NmzZ+2TTz5xgY0mWbRCo05oCmzUGY0JF6BuCGYQNlpO10rM3r17rV27djZ16lR3gtYMFOAXpTdqw7vvf//7LrgGgFhx/Phxl4am4EYdPrVnjVdfwx5rQO0QzKBB9PJR8KIgRr33O3To4IIY7Z5MEINY8OKLL7qZ0Pvuu8/voQBAjbTH2v79+11go9RsrSj36NHDBTWDBw+mUQ5wEQQzqBe9bJRGpnSyrKws69y5s0vhUQ4wS+SIFUVFRfbII4/YnDlzXPtvAIh1ahSggEZpaJos1BYGAwYMcIFNnz59SNkGqiGYQZ3o5aKTrFZisrOzXWcWBTE6wRLEINZoQ9Z33nnHfvzjH7MZK4DAUWtnr75GKWnqCDp06FAX2HTq1InPXYBgBnVZAlftgVZicnNzrXfv3i6dTMvgnEwRq37729+6dMevfvWrfg8FAOpNl2qaQPTqa7RJZ2ZmpgtqFNxkZGT4PUTANwQzuORmgzp5rlixwk6ePOlaSCqI0YoMEOszmj/96U/tuuuucy3BASBeJheVfqbPZrV7Lisrs169ernARvWq2pQaSCQEM6iRTo4bN260lStX2unTp90JUkGMlrWBIFi9erUtXLjQHnroIYpnAcSlkpISl/qtwEYNBFRfo89rBTbKoKARDxIBwQy+UHioOoNVq1a5ZWy1Vtb+HO3bt/d7aECdPPPMM6616a233ur3UAAg4jTxqNoaHUoHV52gPsO1z1vHjh39Hh4QMQQzqJrd+fjjj23NmjVWXFzsZnUUxKjnPRA0eXl59sQTT9gtt9zi2poCQKLQZd3Ro0fdao1qXQsLC92EpIIa1dekp6f7PUQgrAhmEpxa13700UfuUF/7ESNGuCCGzboQZEuWLHFpZkoxa9Kkid/DAQDf6l737NnjVmtUX6N6G6WfacJy4MCB1rRpU7+HCDQYwUyCUgqZLvbWrl3rTm6jR4+2SZMmWcuWLf0eGtAgOqU9+eST1rVrV7vhhhv8Hg4AxARlXWzbts2t2GiTa030aOVagU3Pnj2pr0FgJfs9AES/w5PqYVQXoxPX2LFjbcKECezBgbih9AqlmV111VV+DwUAYoYaoYwaNcod6k7q1dcouFHqmVLQlIpGjSyChpWZBHHq1CnXmUwdyjQbo93QdaSmpvo9NCCsPvjgA/cBrY0ymWkEgAvTJWBWVpYLaLZu3epSz9UswNu/holOBAHBTJzTDLX2iNHFnWZltAqj1Rha1SIeKWXysccec7ngV199td/DAYBA1dfs2rXLXS/s3LnTnU/79OnjVmsGDBhA/SFiFmlmcer48eMuiFEnk7S0NJs1a5ari6HYD/FMeeD5+fluRhEAUHtJSUluIkiHVmi0UqPA5pVXXnHXDqqvUWDTo0cPa9Sokd/DBaqwMhOH9QLLly93m2ipmH/y5MkuP1YbaQHx7q233nI7Y3//+9/nwxYAwuDEiRNVtTVKWc/IyKiqr2nXrp3fwwMIZuLF4cOHbdmyZW6JuHXr1q69sk40mmkBEiVF4pFHHrExY8bYFVdc4fdwACCu6HLx0KFDLqhRVzR1R+vcubOrr9HmnMoCAfxAMBNw+/fvdysxmo3WDMnUqVPdSYXCZySaHTt22IsvvmgPPPAA3XgAIILKyspcXY1WbDSJKn379nWTqP379ycbBFFFMBNAesoUvGglRjUCHTp0sGnTptmgQYNIrUHCUl63asUUzAAAordvnVdfo85ozZo1syFDhrjAplu3blyXIOIIZmqpvLLScorK7VhhmTvOllVYeUWlJTVuZC2SG1vH5snuyExNsqQIvXH1VGkmREHMkSNH3PKughjNgnCyQCIrLS21hx9+2KZPn+5SLAEA0Zebm1u1f83p06etVatWLg1NgU2bNm38Hh7iFMHMJZwuLbdNucW2MbfYiss/f6iUwFUR8j2h/05JamQj26XYiHYpltE0PPUqao+ogn6lk2VnZ1v37t1dENO7d2+CGMDMPvnkE3v11VftBz/4gfvwBAD4R5eWBw4ccEGNVm004dS1a9eq+hr2uEM4EcxcQHF5hS3OKrDNeSWmcKEuD5L3/cPbNrOZXdKsWVLjegcxaq2sIEazHQpeFMSoLSKAv3nhhRdcMerXvvY1v4cCAAhx7tw5V9OowGb37t1uElYZJQps+vXrR30NGoxgpgb7zpTa2wfyrbCssk5BTE1BTVpyI5vXI916tWxap65M6haifWJOnjzp3vQq7NesBoDzFRYW2qOPPmpz5861cePG+T0cAMAFnD171k3SKrDRVhJaofHqa7p06UK2CeqFYKaa9TlFtuBwQZ1XYy7Eu53ZXdNsdGbqJbuDbNiwwVauXGlnzpxxBf0KYjp16hSGkQDxad26dfbuu+/agw8+SGtQAAgINWxRUKM0YV3zqKZGqzU6tMUEUFsEMzUEMpFyoYBGuaTr16+3VatWua4gyidVETPtZYFLe/75561JkyZ25513+j0UAEA9Uuq1zYQCG+1fo7Q01QYrqNGqTUpKit9DRIwjmAlJLfvznjMRv5/b+rSsSjlTjv/atWtt9erVVlJS4t64CmLatm0b8XEA8UDdch577DG74YYbXJoCACC4NLm7fft2F9hoCwrtmTdgwAB3faR9bNgIHDUhmPlrsf+z2042uEamtjU0X+mVahvXfmQff/yxm4EYOXKkTZ48mS5MQB0pJXPJkiX20EMPub0NAADxIT8/36WgKbBRJ9fmzZu7zBUFNtqagvoaeAhmzOy9g/m2Ja8kooFMlcpKqzy83So+WWZjxoyxSZMmWXp6ejTuGYg7v/zlL12e9S233OL3UAAAEXLs2LGq+ho1EWjXrl1VfU1GRobfw4PPEj6YOVVSbk9vOxndO62stLt7p1inVgQxQH3l5OTYU089ZbfddpsNHDjQ7+EAAKJQX6P0MwU2SkdTdkvPnj1dUDN48GBW6BNUwjf33pxXXKfOZR8+/d+28JmHa/x///HxUUuqRb90LY3uLGxsncgqA+pN7T31waU8agBA/FMNjc75OlRrrA3FFdi8+eabrqulJrYU2PTp08d9LxJDQgcz5ZWVtjG3uF7pZWmt2lqbrj3P+1pt8zd1f7rfKZ2aWxI5n0CdaUFZ6QZqX86GawCQeDSZNWLECHeotbOCGh3aRFlt+ocOHeoCm44dO1JfE+cS+iogp6jcisvrl2U3YOosu+Xfnqj3fet+df8dmyf0UwDUy5EjR9yGstdcc43fQwEA+Kxly5auG6yaKam+RhuPa8JrzZo1bpsLBTUKbvR9sTShruvAY4Vl7jhbVmHlFZWW1LiRtUhu7K4PdWSmJjHxfQkJfSWtF099fbrwbdvywRuWmt7SOg8cbnO+/Y/WeeCwOt8/wQxQd/qQatGihcuVBgBAtAKjjcZ1zJ4929XXKLBR18sPP/zQevfu7QIbreo3bfr5NhnRdrq03DblFrsMHW9CXQlxFSHfo39vyvv87ylJjWxkuxQb0S7FMprSmromCX0lrWCi+guoNhonJVl62/bWOCnZcvbvsh0rFtiej5fZA8+/W+uApnEDgykgkQtAt27d6jZTIycaAFAT7UnTr18/d2hfP23IqTS0119/3d555x0X0Ciw6dWrV1Q+S7QNyOKsAtucV/KFWu3q16Gh/1bAsya7yFZnF9nwts1sZpc0a5bEZ1+ohO5m9vLeM7b7dGmdfibnwB5La9XGmme0dv/euWqR/ea7t7m/j7nhTvvSvzxW69vql9HUvtQ7dpY8gSDQTNvvf/97u++++6xLly5+DwcAECCnTp2qqq/Jy8tz22N49TUdOnSI2Mbsbx/Ib/B+ht5+hfN6pFdtwI4EX5lRbmJdZfboc96/+0+aac1btbHCUyfs1LGsOt1WWT3uH0h0SjFr3bq12zQNAIC60Abl06ZNs6lTp7r6S6Whbdy40VatWuWCmeHDh7vgRqnM4bA+p8gWHC6oU+fcC9HPF5RV2p/3nLHZXdNsdGZqWMYYdAkdzKjIqq6WPv9zGz73JmvVqav79641S1wgI607davTbSXX4/6BRFZWVuZacY4fP57uNACAetNniFb3dcydO9d2797tVmsWLlxoCxYscO2dtVqjds9NmjRpUCAj4Zq+9m7Hu93RBDSJHcyoW0Rda2bWvPS8vf/4f1hGhy7WNLW5q5kR/X3ynd+s9e3oftOSyXkE6kIfNtpb4LLLLvN7KACAOKqvGTBggDuKiopcfY1WbF599VXXKEAbciqwUdOZ2k6kKbXMCzgiRbffpllSwqecJXQwo05iXreI2rr8az+0Tz5807L3bLcTWQesVadu1mP4OJt5/4OW2bP2m/dVWKW1Tiqv+6CBBE8x054BmZmZfg8FABCHUlNTbfTo0e44ceJEVX3Npk2bXGtnpaApFe1in0Mq9leNTDhSyy5Gt//OgXy7f3DrhG4KkNANANRN7Pkdp3y7/3PL/mLdMpq7JUwdyuMEUDOtyDzyyCM2Y8YMt5cAAADRoEvlw4cPu9UaddNUdzS1f1ZQo0wBbdIZ6r2D+bYlrySigUxoQDOsbTO7qnu6JaqEDma0YdHjn5yo98aZDdGssdnU8oO2c/t2152pvLzczTh7gY02eaImAPgbfYiopeYPf/hDy8jI8Hs4AIAErd3ctWuXW63ZuXOnC3T69u3rApv+/ftbQUVje3rbyaiP64EhrRN2H5qEDmZk6ZEC1787mg+CQpQJHVJteue0qhln1QJs377dvTFKS0tdtyYvsOnWrRuBDRLeH//4R/feuPfee/0eCgAAVlhY6FZqNNmWlZVlzZo1s7YTr7QTLbtYpbva8+e6MtEkfDCjnVh/sTV2ImhF/Pv27XOBzY4dO6ygoMAtX6ooTYGNNndKTk7oUickIL0PHn30Ubv66qttzJgxfg8HAIDzaM+aTVu22Nq0/mZNmtXqZ/atX2VLnv+5ZW3dZAWnPi/ivuGfH7bxN99T5/tPSWpk3xvaxpIScPI74a+KFVBoR9Vo5zZeaClQgYq3Y+28efNcjqYCGx0bNmxwUb/+nwIbLWvq30C808yXVifVUQYAgFjTtm1bGzJ+qq2tQy121vYttvujpdamS4+qYKa+issrLaeo3DW3SjSJ9xvXYGaXNNtzutRtRBTprhPauVX3VxuNGze27t27u2P27Nl2/PjxqsDm5Zdfdq0Ee/fu7QIbrdxUL0AD4sWnn37qev43b97c76EAAHDBxlJ1MXLerTb+S3fb2RM59t/XjA7L/XckmElMamc3r0e621E1khQo6X7q0z5Ps9LamVbH9OnT7dSpU1WBzdtvv21vvfWWC3q8OhvV3ADxQK/1Q4cO2Y033uj3UAAAuGgwUZf9C9NatQnbfTeuRzAVLwhm/kobDs3umhbRDY7mdE0L28ZGauM8YcIEd6ieQI0DFNho59oPPvjABT1eYKO/00AAQV6VUfqlXssAAMSqs2UVddqIPZwqVF9a5te9+4tgJsTozFT3pwKacG105N2OAplRf739cFN62ciRI92hzmh79uxxgc2aNWts6dKlLvAJ7Yym9DUgSBtl6rWrXZgBAIhV5RX+9tQq8/n+/UIwU0NA06ZZkttRtcE1NJWVltbk8xS2cK3IXIoaAqhIWof2rtm/f7999tlnbnZbwY0CH/VB18Wh6m3ojIZYpjoxHTNnzvR7KAAAXFRSY3+zYJJ9vn+/cCVbAwUe9w1ubYuzCmxzXkmdV2nc91dWWuOju+3eWWMsrVkT84MaBKhoWkf1zmgbN250M92hndFSUlJ8GSdwsVUZvS71+gQAIJa1SG5cp5qZcNL9piUnZuZNwu8zU5t9aDblFtvG3GLX9k6qv1BD/60+3yPbpVi3RoX2h2d/YVdeeaWNGzfOYome8pycnKrA5ujRoy71LLQzWosWLfweJhKcXqc///nP3evy2muv9Xs4AABclK4X5x86W+vv/3Th2/bez/7NKsrL7dTRQ+5raa3bWbO0FtZt6Gi7/f88Xaf7v7JbCxvRLvEmplmZuQTtB6MdVad0au76d6tThA4VWSk3UUt6ioTVCk9HZmrSXzcsSrNhw4bZ8uXLXS1Lkyb+rM7URM0A2rdv745p06bZ6dOnqwKbd955x3VHU22NV2fTpk34um0AtaWVRHUyGzp0qN9DAQDgkuraFrmkIN9OHN5/3tcKTua6I6ND54jff7xgZSaCTpw4YU8++aRdccUVNmnSJAuCwsLCqs5oaiRQVlbmgh4vsOnYsSOd0RAV7733nqv3+uEPf0jTCgBAzCs5d84e//SElVnNG6NHUkpSI/ve0DZ/nVBPLIkZwkWJVjRGjBhhK1assNGjR7vi/FinTQk1Zh2lpaVVndE+/vhjW7ZsmWVkZFQFNtrXhotMREJFRYVt3brVrcrwGgMAxLL8/Hxbu3atrV+/3kq6D7PkfqOUBhO1+2+kDTjbpSRkICMEMxGmNK7NmzfbRx995P4eJGoQMGjQIHeoM9qBAwfcTPm2bdvc76PAx+uMpiYDdEZDuOzbt8/tn0SKGQAgVmVlZbnrIU2+qemSJoIHjx5tLx6J7jgqzRKyVsbD1WeEaSVjzJgxtmrVKhs7dqylpkZmr5lI05tUhdg6rr76avcG9upsNm3a5GqCvM5o+pPOaGhoF7O2bdtap06d/B4KAABVNLmriV0FMart1F5+s2bNcvXR3rXP8JJ825JXEpb9Ci+lkZkNa9vM1XgnKmpmouDs2bOuK9P48eNd/Uy8Ce2MduTIEZcW1KtXr6rOaOnp6X4PEQFy7tw5e+SRR2zixIk2Y8YMv4cDAICrKVYa2bp16+zMmTPWs2dPd12nDJXq6dAl5RX27LaTDd+v8BJcu6nkRnb/4NbWLClxU7IJZqLkww8/dHUnP/jBD9zGlfFKndF27NjhAhtt2KmXV9euXavqbDTbDlyM0hhfeukl++53v8vrBQDgK23crE3HlTGgaxqlP0+YMME6dOhw0Z/bd6bU/rznTMTHd1ufllHbmD1WEcxEMaLX6oyWIefOnWuJoKioqKoz2u7du11ntMzMzKrARilEdEZDdX/5y19cS+ZvfOMbfg8FAJCAdGms6xelkqmGUxkmKhlQM6e6TEivzymyBYcLIjbOOV3TbFRmMMsXwolgJoqWLFliK1eutO9973vWsmVLS7TUIa8zmlZuiouL3WPgBTY9evSgaxXc60IpZkrHVJoZAADRUlJSYhs3bnSZNCdPnrQuXbq4VLLBgwe72uH68AIaTd2G44Lbux0Cmb8hmInyhZpWZ4YMGWLz5s2zRC6eO3jwoCugU2Cj3FM1RlB9jQ51RoulTUYRPWom8cYbb9iPfvSjhAv4AQD+7QuoVRh9BimLRMGLghilyYeDUs7eOZDf4Boar0ZmXo/0hE8tC0UwE2Xac2bx4sWuHqB169aW6PTyU9MAr4FAbm6uC2T69u3rAhsV1gW1Axzq7ve//73bY+buu+/2eygAgDi//lAKmYIYpZTpWkOpZDoiMZlWXF5hi7MKbLO6nFVUWKM6ZKN4qzHD2zazmV3SErrYvyYEM1GmjSi1OqP2xddff73fw4k5Cma8wEbtn5V6po4hXmc0Zuvju+vfT37yE7dqqbxkAAAikfa+ZcsWl0qm4v727du7VRgV9kcjK+T9pSttY06RpfQfacXln1+CKzSpCPme0H+nJDVyG2JqH5lEbr98Mewz48NGlFOnTrX333/fpkyZQrematq1a+ceFx1KP/M6o82fP9/effddl7/q1dnoexE/tOmYGkJoeR8AgHDSNYUCmA0bNrgGRZogvfLKK92EabSaEbnGAls22MBu3ezaoW0sp6jcjhWWuaOgrMLKKiotuXEjS0tubB2bJ7sjMzXJkmiWdFGszPhA+ZiPP/64de/e3b70pS/5PZxA0Iln165dVZ3RNLOiYMYLbDp37kxntIB77rnnXJeY22+/3e+hAADigC5xtbGlUsnU9l8TyuoqO27cOF9S/ZVW/+yzz9pXvvIVVx+M8GBlxgfJyck2bdo0e/vtt90KxKV6lcNcLuuwYcPcoUBm7969LrDRBlaqQ1LbxNDOaPXtOgJ/qGuMPnAI7gEA4Wg0pNV+BTEKINq0aeNWYYYPH27NmjXzbVzaq0aTdtpYHOFDMOOTESNGuDbNatd82223+T2cQFFOq9f5TMXiXmc0BTdr1661lJQU1zhAgY0aCdAZLfbpBK/nSc8bAAD1UVBQYOvWrXOH6jB79+5td9xxh6tT9jt7Q9crCrDU0ZatKMKLYMYnWjmYPn26vf76627WQGlSqDuvQYAOzbocPXq0qoGACvy0CqaARoENndFiNw3g008/dc+RUgAAAKiLY8eOuVUYTYwpaNEKjIr6tVF3rDhw4IDl5+fbZZdd5vdQ4g7BjI/UOUMpUosWLXL5k2gYncAUFOqYOXOm5eXlVQU2Chr1/0M7o2VkZPg9ZJi5bjI5OTk2e/Zsv4cCAAgIrXSoSZCCGAUK6nZ6+eWX26hRo2Jy4lKTdq1atQrb3jX4G4IZn1cVZsyYYS+//LJ7I6rWA+GjTnGTJ092h2ZDvM5o6iT33nvvuaAntDOa30vQiUozafrgUToAAACX2oBcHcnUmez06dPWrVs3u/nmm23QoEExm76lxk9qQKA9bLjWCD+CGZ+pDa0aAGgjTW0UyIs8MtQgwNsMSydCrzPa8uXL3cqYAh8vsFH7Z56H6KaY6X1A0wYAwMX2odMqzObNm12Bv9K1lEoWhDT9PXv2uGsPZeQg/AhmfKaLZqVE/elPf3I70TI7HXlqEKATig7NlqgzmhoIbNy40TVlUOCjNDQFNkpL4yI7cg4dOuRm1jjBAwBqmvBSIKAgRtsyqBPYpEmT3MRkixYtLEgZCNqcUwfCj2AmBqjLhlYDtEKgdn2sCkSPGgSoMYAO5d/q4trrjKZuKAp89Px4ndEoUA//CV55ztpzCQAAKS0tdSswCmJU/9qpUye74YYbXCcwfW4H7XdRmruaPiEygvWKiPPVmd///ve2c+dOtyqA6FOureqWdMydO9eys7OrAhtddOsEqk2uvLbQzZs393vIgaY0AeUQq005ATwA4NSpU64WRjUxCgJUB3Pddde5upigfk7oGkJZIHQxixyCmRihFRldRKt2RqsEQX3Txgs9/h07dnSHuqOcOHGiqjPam2++6f6/ni+vzobOaHWn9L7CwkJSzAAgwVPJtF+cVmH0GatNLUePHm1jx4513b+CTnWhCsbi4XeJVQQzMbY685vf/MbNVmspFbFDuwcrT1eHNuLyOqN98MEHNn/+fLcE7gU26mtPMFq7E7y6yKkBBgAgsWi1Qp8DCmK0T4w+D66++mobNmxY3KR0a8JONT/K9kDkEMzEENUNqC5jyZIlMd1iMNGp6FCzRjpKSkqqOqOpeYBW1hT4eIGN+skT2HzRuXPn3GOmttk8PgCQOLRVgmpSdehiX3Wps2bNcg2Q4u3zQJPTWnligjqyCGZijFKann32WVejoR1sEdu0HK48WB2aZVJHOtXZbNq0yVatWuUCH68zmlIJ6Yz2OdWGKR+aHGIASAxZWVluFWbr1q3us1D1kmqtrK0R4pWu5VRrqy5siByCmRjjbeSo1Rld6HHxGxxqEKAZJh3qjHb48OGqBgLr1693gY/XGU1/xssyen1P8Orgp1UsAED8NnrRZ+CaNWvcZ6LqRrQKM3LkSNctNJ5p2wHVAqkLGyKLYCYGzZgxw55++mk3u69UJgSPUgSVNqhjzpw5rjOa10BAOcIKUkM7oyXSrE1RUZFLzZs9e7bfQwEARIDSx9SRbO3atXbmzBm3Z9ttt93mGhwlSgq9Pus1yakJTEQWwUwMUkG0VmWWLVvmUs2C1lMdF+6MpkD15MmTVYHNW2+9ZW+//bYLerw6m3jveKLVKnKIASD+HD9+3KWSbdmyxZ3n1a1SqWT6/Es0CmYUvCkrA5HVqFKvNsQcbRL15JNPuln9CRMm+D0cREhBQUFVZzS1KtaSvE76XmCj3YLjrSDyd7/7nfvzrrvu8nsoAIAG0mWkVtuVSqa6UdWKqq2yMksSKesgVE5Ojj311FNuNYqVmchjyj9GqSBOqzIrVqywUaNGJXR9RTzTiV7Prw51Rtu9e7cLbNQ8QHVTrVu3Pq8zWtCX59XFRh922gQNABBc+sxSOrw2udRebKqDvOmmm2zw4MEJX++rulCtyKhDLSKPYCaGTZ8+3S3V6kQxZcoUv4eDCNOJT6lXOtQZbf/+/S4lS6+B1atXu8AntDNaENMPvXohtR4HAASPAhddl2zcuNF9Vil4ufHGG92EGz5fqdJnnT7ngvg5HUQ8yjFMtROasdf+JWPGjIn7zh/4G50ANaOj45prrjmvM5qKKrVSF9oZLSg5uTrBa7y8lgEgWBfoWlVXPYxa66emptq4ceNcOlnLli39Hl5MOXLkiKuN1Wc3ooNgJsZNmzbNLeMqF1XF40g8qpnp1q2bO9QBTLm4XmDzyiuvuJUOrdQosNHKjfKVY7UOTCf5SZMm+T0UAEAtNzhWypSCGBX3q47z2muvdYX9TZo08Xt4MUmPlz6H1cEN0UEwE+PS09PdqozSjDQL0rx5c7+HBJ8DG32Y6FAa4qlTp6o6o73zzjtVndEU1GiJWzU3sbQqoxUldXcBAMQutVNWW2XtkaZ2+vpMufLKK90Ferw1pQkn7TGnzzp1pA16jWuQEMwEgOpldEJRUbg2mwJCUxHV7U6HOqNp+V+BzaJFi2zBggWuzbfXQEB/9+tDSCkKmq1SgMVsHgDEHp2nldKsVZht27a5c7U2t9REKhsc145qXfVZrJUrRA/BTACo8FsXq1qd0Z+xmkYE/18n+uDRUVpaWtUZTSmKS5cudYGPF9goZS2as0bHjh1zaWaa2QMAxA5tCbB161YXxCgVWIHL3LlzbcSIEYGpx4wVmrRTRkTnzp39HkpCIZgJiIkTJ7ruIcuXL7errrrK7+EgximdSx1mdOiDyuuMpuVvBTdKV/Q6o/Xu3TviHVd0gtd96r4AAP7TCsK6devccfbsWXd+vuOOO1yTFlLJ6k6d3fQ5q01Cefyii2AmINQ5RIXTy5Ytc39mZGT4PSQEhBoE9OnTxx3z5s2zrKysqgYCaq2pwEdd07zOaOHuNOa1qVTLaXKIAcBfWinXKowmmXTRPWzYMHcBrlpM1J82DtXeO6qXQXQRzASITjY6ASmgUTcRoK70waW9AHSo/io3N7cqsHn11VddsKHZOW/VJhwpjQcOHHCbZZJDDAD+Fabv2LHDXUPonKx2yuqQOnr0aDdZiobTpF3Hjh0tMzPT76EkHIKZAFHu6uTJk23hwoXuTwry0NDARiddHWoBfvr06arOaO+++67rjqbaGq8zWn1fbzrBq16HDdUAILqKi4vd3mTqTKbulzqn33zzze6czkp5+GhFRg142ELDHwQzAaMNqtQIQAXd2nEXCBelLmr1T0dhYWFVZ7QlS5bYhx9+6FIQvAYCmn2qTU6w6nXUFUebv5JDDADRoVV31dlqnzqdh5X6dMstt1CYHiH6rFTNDClm/iCYCRi1Spw6daq99957rmUzy5mIBBXrq5ONDnVG27NnjztZ68NRaY4KfLzARvvaXGiGTz+nPQpIMQOAyFJ9os65SiVTN0t1uFTzIO1Vpz3rEDmqP+rRowf1zD4hmAkgzXJrzxnNmGumBYgkNQhQSoIOzfAp31p1Nlpx0YemAh9thOl1RgvdR0YneK3oaI8bAED4acJp8+bNbrJJKzJaOb/++uvdKkGkO1Xi865we/futauvvtrvoSQsXuUBpJOTdn9/8803XVcSnbiAaHVGU8CiQydu7UngNRBQOoMCGa8zmnaKVsGpVhIBAOGlGhgFMOpKqZoNnXevueYat1pOWm/0aI8ePd7aCgH+aFSpdUkEsjPJk08+ae3atXN94QG/hXZGU5Cjk7tOLyqI1GoiaQ4A0DA6px48eNCtiutcq8ZAOr+qnlaNVhB9v/71r92WBl/+8pf9HkrCIpgJMKXwqJ3u17/+dTpFIaacOXPG/vjHP7oOaUqB0GlGr1GvM1rbtm39HiIABIaKy9UZUkGMMjI0kTlu3DgbPny4SwWGP06ePGk///nP7aabbqI21EekmQWYNiFcvny5LV682L761a/6PRzgvFRIrdTMnTvXneC9zmjqwqfW4mpc4TUQ6NSpEykRAFCDs2fPurbK69evd7UZSuO988473SbInDf9pwBTn3eaqIN/CGYCTB2kLr/8cvvLX/5i+/fvdzUKQCxQuplWY5RDrA3ZNHuo49y5c1Wd0datW+eCcW3e5gU26gbD3gcAEp1SdbUKo4tl1Sqqs6RWYrQig9ih50efXayO+YtgJuC8mW2tztxzzz3M1CBmUiDVJKBFixbnfV0NArzARXVf6ozmbdSpQlYFPl5nNM08hnZGA4B4pnOiJoIUxBw6dMjVwFxxxRWuJkY1GYgt2dnZdvz4cZs5c6bfQ0l4BDMBp+BFqzMvvPCCm/HWEjTgJ9XJKEhRa9CL0QpMr1693HHllVfa0aNH3Qe5OqCpzagCGQU0CmwU4CjQAYB4o724lEamdDLVG2qF+tZbb3WpS6xUx/aqjIJMrrv8RzATB/RG6tatmy1atIg8WsREm0qlRajQv7b0mtXO1Do0E5mXl1fVGe311193H+hKo9SHu4IbpaYBQJBpVl+rMFu2bHFpuaovHD9+PNstBICeLwUzSqXW5x38RTATB3QhqGXO3/72t25WWxd7gF90glfQoZah9aVuZ1OmTHFHfn5+VSra+++/b++995516dKlqjMaOeQAgnQRvGvXLhfEaKNFpeJqL67Ro0dbWlqa38NDLR0+fNjt80MHs9hAMBMnNGutdB3Vzugij9UZ+EEdzJQuFs6NMrU/jfZQ0KF0DF0IKLBR8wCtRiqY8QIbrezw2gcQa7SppTYWVm3giRMn3ISM2vkysx/culB9NmmDUviPYCaOqHZGmzdpZpzZAvh1gteKTL9+/SJy+6qbGTZsmDvUGU0zmwpsNmzYYCtXrnQfLqGd0bhIAOD3PiRahVEgoz23FLzceOON7A0X8EYNSqdWh05qmmIDwUwcUd2MLiKXLFni9qDhTQY/coi1QqK++5GmBgFakdGhDxftiu2lo6mQVoWZoZ3RaJ0JIFrnQm2XoCBGqd+ahPFWl6n3Cz5NohUWFtpll13m91DwVwQzcbg688wzz7huUCNHjvR7OEggSi9T+sS8efOift9egwAd2qhTO2R7ndFUXKvgKrQzWvPmzaM+RgDxTavFWp1WEKPi/vbt29u1117rMiVoMx8/NGmnuk5ti4HYQDATZ/Tm0jK2dlpXKg5pNogWfYirgNXvzVtVM6P3gQ41xlBnNG/F5o033nD/XyloXjpaRkaGr+MFEGxqp6zVYLVXVl2fVovVbl7nQmr44i9g1UTZxIkTeW5jCMFMHJoxY4Y99dRTro5Ay9pApCnNS7NVsZjeqBm0yZMnu0Od0bRao8Dmgw8+sPnz57ugR0GN1xmNDygAte1opVWYbdu2udVfZUOMGzfO2rRp4/fQECFqQKPaJ+qSYwvBTBzKzMx0qzLLli2zESNGsLyNiNMmmWfPno35E7waBIwZM8YdxcXFVZ3RVqxY4ToBKvDxVmzUbYjABkCo8vJyF7woiMnKynKBy5w5c9xnbUPa0SM4GQiaANNnBWIHwUycmj59unvTrVu3zi2HApGk11rr1q1dABAUahCg4EtHWVlZVWe0jRs3VnVG8zbpVLoIKZtA4iooKHBpZEon08RN79697Y477nBNd5j0SAzeBJg2dkZsIZiJU5ot0pK3Zpy1GRednBApCgSUQ6yUxqB+qCtFRI0BdChl7tChQ1V1NpoQ0Iyr1xmtb9++vJ+ABKFmIlqF0YSNzm/Kehg/frwr7kdi0eecVuaUTo3YQjATx6ZNm+a6mulEHM5NDIFQu3fvdjNWsZ5iVluq+VGDAB1KH8nOzq4KbHRBo8BHs7IKbLRyQ2c0IL5oQmPnzp3us1MtltVOWbWoo0aN4v2ewFQXqlV62mvHHoKZOKYuTVqVWbVqlZs1V1oNEIkTfIcOHVytVrzRTGzHjh3doYsZtZ72Aps333zT/X/tAO3V2bRq1crvIQOoJ03KKM30448/tlOnTrm9226++Wb33ibNNLEptXDfvn2+bD2ASyOYiXNakVFXMwU0alMLhFNJSYnrDqYL/URJ35w0aZI79OHmdUb78MMP7f3333eFoVqtUWc0BXdBTbsDEonat2sVZtOmTS6NSJsh3nLLLda5c2e/h4YYsXXrVnc+19YXiD0EM3GuRYsWrlWkTtTK89U+IEC46GJeNTOJuBOy3lta+dShoM7rjKaJgyVLlrjAxwtsunbtSmADxJDKykrX9EOfjXrv6rNRzXLU6VDNP4BQSjFWs4fU1FS/h4IaEMwkAO2voSJmdWhSDQAQzhO80qwSfeNJNQhQQKdDwZ3SERTYbNmyxVavXu0CH68zWq9evUhZAXyiPUL0vlQQk5ub61JIr7/+evfeVT0cUJ3Si9WG+0tf+pLfQ8EF8M5NACpYnDBhgpsx1swTs04IV6vSPXv22FVXXeX3UGKKLog0g6dD+dXaWM+rs1FrVwU++n9eZzT2pgAiTzUwaqustGutpOr9d80117jJGFZNcam6UO3XpwkpxCaCmQShIEZFjcuXL7err77a7+EgDmjjOF0E0Kby4p3RdLGkY/bs2Xb8+HHX3lPpeS+//LJboQntjEYaKBDeVLKDBw+6VRhNJmjiQFsWKPWaZh2o7WtIGQg6R7MBeewimEkQ6mSmdDPtcq7iZU7kCMdslS7EaVVaOwr81PVNhxomnDx50l1gKbB5++233aHuSV5nNG1CCqDulOqp85OCGO0T065dO7eCPHz4cPaIQp2oNb/SEUnRj22NKhV2ImFyhX/+85+7zf+uu+46v4eDgKds/OxnP7Mbb7zRbSKHhqfseZ3RVJSsjkoKehTUqIGANugjFQa4OHUYVCqZ0jn1nlIapxrf9OnTh/cP6mXBggWuXfeDDz5IrWMMY2UmgWhGasqUKfbBBx+4VZq2bdv6PSQElGY9VRtCDnF4KL1MG/LpUD6/NiJVYLNmzRpbunSpW6UJ7Yym9DUAnzty5IhbhdF5SRecWoFREKMVGaC+NNev15TaMRPIxDaCmQSjtpNqBKALpJtuusnv4SCgdILXxTXF6+Gnx1R1SDq0QuN1RtNjruBGgU9oZzQ6MCERVVRUuPozBTGHDh1yqdNXXHGFmxBgg2iEg15XZ86csaFDh/o9FFwCn4IJRhc+06ZNs3feecet0ih9BagLFbErjzhRNsr0k2YDlSqjo3pnNHVl0mqr1xlNfxJcIt4VFRW5NDKlk+lCs0ePHnbrrbe6AJ8VS4STCv9btmzpGrggthHMJCB1c9GeM9rYTx8CQF1ohUAzn7rARvQo518NAnTMmjXLcnJyqgKbV155xQU+WqnxOqNpbxsgXuj1rlWYzZs3u/QfzZYrlUz7xADhplXxrVu3uusl6q1iH8FMAtJFz/Tp0+2NN95wucadO3f2e0gIWA6xajdIb/KPPly1qqpDK61qyOAFNlp1De2MpueKzmgI6vlm165dLohRYwwF6MooULo0bcwRSXq9aRWQFLNgoJtZAucbP/XUU+4i58477/R7OAgIpTk999xzdtddd7lVAMSewsLCqs5o2tRUM4wKerzARl3SmGlELFMTjE2bNrm90bT7uibctAqjOjIKsRENr732mpvs/fa3v835MgCYWk1Qyi2+/PLL3cZ92lSMnFDUNodYs6PKU0ds0r4/So3QoXbsXmc0zW4vW7bMFUp7ndG0ekOdAWKF9l7S61SBjF676iJ1ww03uA5+XFAiWs6dO+eaS2gVkNddMBDMJDB9UGiWVhtp3n333X4PBwFYzVMOsZbduQAOBjUI0Ptch1Zo9u/f7wIbPY+6aFTgo32nFNhoA1RSBxFtSg7R61KvR60opqam2tixY92h4msg2vQ6VEBz2WWX+T0U1BKfXAlMMw5anXnxxRdd+1fShnAxeo1oIzpyiINJ6TnaPFDH1VdfbVlZWVV1NpoJV+Cjpg5eZzTa2yKSdLGolV6lkqk7YmZmpl1zzTVuE94mTZr4PTwkMNWFdunSxdq0aeP3UFBLBDMJTrOyetMuWrTIvva1r7Gkioue4HVy79Spk99DQQPpfa7UHR3amyM3N7cqsHn11VfdyltoZ7T09HS/h4w4oXbKaqus9soqsNZn0Jw5c9zrjc8f+E2vSTWdmD17tt9DQR0QzCQ4b3XmD3/4g3sD64MFqK6srMzlEKsIlwuO+KLnU7PiOqZOnWqnT592QY1SLd59913XHU1Bj9dAgNlK1Ld5iFLJtm3b5tIZVdM1btw4Xk+IKfqcU+qjmk0gOAhm4HLlVdCt2hmll3CxiuoU6KrDEClm8S8jI8MFrTrUGW3nzp0usNG+VB9++KELerzARnt8cL7AhahOS8GLghilNap7pma8FciwwStikVIftUrIanSwEMyganXm+eefd7MSKhYGqp/glV7Wrl07v4eCKFKDgBEjRrhD3aXU6lmrNkoTWr58uQt8vM5o6ohIYwiIauuURrZu3TrLz893F4e33367myzjNYJYToFUM4rrrrvO76Ggjghm4GhlRoXBWp3RrCsfOPBoRUaz8zNnzvR7KPCRGgQoaNGhGfcDBw64wEYTICriVhcqBTY6f2i1lyLuxKNC/jVr1rjJD02SqZhfK3za5wiIderyqEYpOschWAhmUEWrM7/61a9cobc+hADRxaouXmlTCY8+8BWw6Ljqqqvc5nKhndEUyHid0VSHR2e0+G7ZrskOpZJpVlvtlGfMmGGjRo1yK3tAUOjah06OwUQwgyrqaqaZVeXGs9MyQk/wWrljzwfURDPwOnfoqN4ZTbtoa5W3Z8+eLrDRQS56fCguLraNGze6VblTp065DVhvvvlm9xzz2YGgycvLc5MykydP9nsoqIdGlWrbAISkCTz99NN27bXXupk1JLazZ8/aT37yE5s3b56NHj3a7+EggDnoXmc0zdprFl9Bj9dAoG3btn4PEfW46NMqzObNm12XQ018KZVMzysQVJrEXb16tT300EOkyAYQKzM4T4cOHdyH09KlS12qGTuCJzZ1ItLMOznEqA+t5qn9rg7t36B0JAU3Or8sXLjQNZTwAhs1mKAzWmzSnOfevXtdEKPOhkofmzBhgo0ZM4aVNsTF61sZCDoPEcgEE1eq+ALlOz/11FOuG41m3JC4VMir2gdy39FQahAwfPhwd2j3d68zms4zK1ascIGP1xlNaY00IfGfnietwCiIUfqgWnFff/31rn6OiS7Ei2PHjrkVxyuvvNLvoaCeOBvhCzRbqgsOtV5VqhkzFYnp5MmTbqO7m266ye+hIM7onOLV0Cj1zOuM5rV9VuCjxgH6/+qyyDkourRxqmphNmzY4LoZKsi85pprXPttVs8Qj5N2mrBTQxMEE8EMajRt2jTbsmWL+0CjIC4xadldF5G6kAEiRSsw2odEh2ZGjx49WhXYaFVAKwChndEU6CAyqTaHDh1yqzDqYKhW3JrMUopgq1at/B4eENEUM6XXsxocXAQzqJF2atYuzStXrnR50ezWnHh0gtcFpC5qgGjQrH/nzp3doX2NlPrhBTavv/66+/+hndHosNdwKuLX/hoKYhRIqimD2m1rdZ73PuKdVoW1sevQoUP9HgoagGAGF12d0Z4R2gRt+vTpfg8HUe5qd/z4cddqF/CLLqy1MqxDFxxeZ7T333/f3nvvPRf0eIFNZmamxaryykrLKSq3Y4Vl7jhbVmHlFZWW1LiRtUhubB2bJ7sjMzXJkqKUxqVOhevWrXNHQUGBW/268847XVofqWRIpBQzrTx27drV76GgAQhmcEGa9Rw7dqxrV6hUA9I7EusEr+dbFzZALFDXLJ2PdGiPE3VGU2Cj2r5Fixa5wMfrjKYgJxYuyE+Xltum3GLbmFtsxeWf74KgRJaKkO/Rvzflff73lKRGNrJdio1ol2IZTSOzV4v20tAqjFZjlFajFRg1elGtJJBItBm0OnYq+yQWzheoP4IZXNSUKVNct6FVq1YxS59gOcSDBw9m8zvEJO3QrdbxOtRxS22DtWqjgnWlxirwCe2MFu3XcXF5hS3OKrDNeSWmS6TQzdxCA5nq/1bAsya7yFZnF9nwts1sZpc0a5bU8Dx+NVnQ46Mg5uDBg5aRkeHS+JRKzCQVEtXu3bvdxIi68yHYCGZwUWlpaW7WTh+C2ldA/0Z8UwczdTMihxhB4DWp0KGLdl2se3U2SqFS4BPaGS3SdSD7zpTa2wfyrbDs8xCmrrtSe9+/Ja/E9pwutXk90q1Xy/qNWXv7KMBThzi9pxXY3Xrrre6xotgZiU6Tdu3bt3f76yHYCGZwSZMmTXIfhkrnoA97YqSYKcVQbViBINEFuhoE6Jg7d67bP8ILbNSdUZ3RFNB4ndHCvX/S+pwiW3C44AurMfWhny8oq7Q/7zljs7um2ejM2q+g5OTkuAko/c4K8DQxoVRhbUwKwKy0tNSlqU6dOtXvoSAMCGZwSUpDmDhxogtmFNjQQSi+c4iVS688enKIEWR6/eriXcfll19uJ06cqAps3njjDff/tVLhNRBQ6lU4AhkLQyDj8W7Hu92LBTRKD1XajIIYbUjaokUL1zhB9QCsqAPnUyCjFFVSzOIDwQxqRSlm+pBctmyZ2zwN8Wnfvn1WWFhIihniTps2bdxkjA518tLFjAKbDz74wObPn++CntDOaHUJ5pVa5gUckaLbb9Ms6QspZ9rUUvvxaE8wtbJW84Mbb7zR7ZtBzRtw4QwEdTDTNhQIPoIZ1Ir2mdEsn7oG6U9OAPGbQ6yuRh07dvR7KEDEaNVi9OjR7lAB8K5du1xwo+YBixcvdoGP1xmtS5cuFw1sVOyvGplwpJZdjG7/nQP5dv/g1q4pwMmTJ10As3HjRpcyo4Yd119/vbtAY1UVuDBN2Gn1UqmoiA8EM6g15Vxrz5mlS5faDTfc4PdwEGZactfO35q55mIIiUINArQSqUMbSHqd0bTHlro4KvDxOqOpFqf6aoe6lqnYP5KBTGgNzRufHbOKT5e54EspwEojU7vqhqbJAYlC7ZiVlqkJAMQHghnUqWuQiuWUkqGWzexLEF+0b4dmeEkxQ6JSgwA1BtChwvlDhw5V1dmoRb1WqL3OaNpksrAyybVfjhYFNHtKm1j62WKX7qvW1DovA6hbBkLv3r3dRAXiA8EM6mTUqFEuFWPJkiV28803+z0chPkEr3x7pdgAiU6d0dQgQMecOXMsOzu7KrBRvr1WaNqMn2vWrudfk8AubcUfn7b1b75op44esnMlxZbWuq11HzbGZt73oHXqP6R242pkNvTqW2x0Z4r6gbpSi/IDBw64lEzED4IZ1Hnmcvr06fbWW2+5VRr6s8cHr25g1qxZfg8FiDlKu1QdmY4ZM2a4epVt27fbiuQutQ5kZN+G1VZwMtfadO1hZSUllnNgt3364Vu2Z+0K+8d3N1rT1EsHKJXWyDbmFtuUTs0tiXRQoE7UrVMTEUobRfxg1yzUmdr2qgGACmURH1Qro7bM6oAE4OJ0/uszfKxVJtdtM8vb//OX9s8ffGrfe2GR/eiVlTbjaz90Xy86fdJy9u2u9e0Ul1daTlF5nccNJDqtqqoGTimjiB+szKDONKuh2cnXXnvNsrKyXLcfBP8E36tXL0tPT/d7KEAgHCssq/PPNGmWYlsXvWNLn3/cSgry3cqMpLVuZ+169Knz/Xdszkc4UJfNZLWR7rRp0/weCsKMlRnUizaa0l4MrM4EX35+vttfhs3DgLoFE/X5AD17IscOfbreju/baZUVFda6Sw+7/5nXrFla7YuRG9czmAISvS5UKzL9+vXzeygIM4IZ1Ls4Vqsz6tWuYjoEFznEQN2dLauwinr83Pib77H/XH/c/uGdjTZszg12MuuA/ekf77eSgrO1vg3db0FZfe4dSExqxaxgRp9zqv1FfCGYQb3ppKCCWG2kqRMFgkkneM1Uac8KALVTXlHZoIYCrTp1raqZyd6z3TbPf7VOt1HWgPsHEs2RI0fsxIkTbD0Qpwhm0KAP5JkzZ9rBgwfdRnMIHp3cVfdEihlQN0nqkVwHBadO2Ia3/2Jl50qrvrZj5YdVfy8tKqzT7SXX8f6BRK8LTUtLcxvfIv6w1oYG0cZxXbt2dasz2oSKneODd4Jv2rSp2wgQQO21SG7sZgNrm+xVWnjWXvqX79jr//mQtena04rPnrHTx7Lc/1O9zJCZ82p937rftGTmIoHa0Aa4SqfWpJ1S5BF/eFYRltUZLeFqB3kEL4dYu5mzizhQN+okVpeqlZT0DBs290ZLb9fBThzeb/m52ZbRsYuNuPoW+/Zv37fWnbvV+rZ0v3QyA2pHdb1nz54lAyGOcTZEg6mlr5Zu1dlMM/yszgSDdjTPzc21uXPn+j0UIHDqGkykpmfYHf/3Gd/uH0jkDATtDcU2EvGLlRmEhVZndHGspVwE5wTfvHlzF4wCqJvM1CRLSfJn4kb3q/sHcHFlZWW2bds2tyrDRGv8IphBWHTr1s11xFqyZInLT0UwUswGDx7s2jIDqJukRo1sZLsUi/blke5P96v7B3Bxu3fvtpKSErqYxTmCGYSN9p3Jy8uzLVu2+D0UXII60J05c4YTPNAAI9qlWLQbJFf+9X4BXJom7Tp06OA2+Ub8IphB2HTu3NntPbN06VIrLy/3ezi4RIpZRkaGW1EDUD8ZTZNseNtmUVud0f3o/nS/AC5OKzI7duxg0i4BEMwg7Kszp06dso0bN/o9FFyAAk1yiIHwmNklzdKSG0U8oNHt6350fwAubfv27a5mhi5m8Y9gBmHVvn17NwuybNkyO3funN/DQQ327NljRUVFzFYBYdAsqbHN65Ee8XQz3b7uR/cHoHYpZt27d3dZCIhvnBURdtOnT3c93devX+/3UHCBE7zyhxV4Ami4Xi2b2uyukV0xmdM1zd0PgEsrKChwE3esyiQGghmEXdu2bW3EiBG2YsUKKy0t9Xs4CKHnQ0vvWpUhxQwIn9GZqVUBTbjeWY1CAplRmalhulUg/imVWp9xQ4YM8XsoiAKCGURsdaa4uNg++ugjv4eCEDt37nTpf8xWAZEJaG7r0zI8NTSVFaatZHR7BDJA3Zvc9OnTx+2lhvhHMIOIUI7qqFGjbNWqVS6oQeyc4Lt27ep2QwYQfkoFu29waxvWtpn7d12DmqrvP7zTehxaS2oZUEdqQnTo0CEm7RIIwQwiZurUqa6TyOrVq/0eCsxc0b82EOMED0RWSlJju6p7uj0wpLVN6JBqKUmNLvihG/pvfZ++Xz83PTPJNq9fa9nZ2VEbNxAvdaHJyck2cOBAv4eCKEmO1h0h8aSnp9vYsWNtzZo1Nn78eJZ7YyCHuLKykhxiIEq0H8z0zmk2pVNzyykqt2OFZe4oKKuwsopKS27cyNKSG1vH5snuyExNsqS/1rKNGzfONVGZP3++3XXXXdS4AXUIZgYMGGBNm7KqmSgIZhBRU6ZMcR/IK1eutNmzZ/s9HEv0E3yvXr2sRYsWfg8FSCgKULyApdY/k5Rkc+bMsT/96U+uaYc2JAZwccePH3ermZdffrnfQ0EUkWaGiNJqzIQJE+zjjz+2/Px8v4eTsM6cOWP79+9nbxkgQPr16+eKmBcsWOBSdgFcui40JSXF+vbt6/dQEEUEM4i4iRMnuvxVtWqGP7Zu3epmeskhBoJDqWVz5851Bc1K1wVwYUqjVgaCVjH1eYfEQTCDiNMsyaRJk1y62enTp/0eTsLOVvXv3989FwCCQxvcqvZw+fLlbjNiADXLyspygT8ZCImHYAZRoQYAzZo1s6VLl/o9lISTm5trR48epYsZEFAzZsxwM80LFy70eyhATE/aqfFQjx49/B4KooxgBlGhriJqBrBp0yY7ceKE38NJKFp2VyCp/HsAwZOamuoKmnX+PHLkiN/DAWJORUWFS6dWt87Gjbm0TTQ844iaMWPGuE5arM74k0PcpEkTv4cDoJ5Gjx5t7du3d62a9b4G8Df79u2zgoICUswSFMEMokYX09pIc8uWLZaTk+P3cBKC0svy8vJIMQMCTrPNagagnc01Aw3gbzRp16ZNG+vUqZPfQ4EPCGYQVaNGjbJWrVrZkiVL/B5KwuQQp6Wluf1lAARb79693WaAatV87tw5v4cDxAS9F7QptFZl2Fw2MRHMIKpUxDp9+nR34tGqASKHHGIg/mgjTXU1W7Vqld9DAWLCrl27rLS0lAyEBMYVDqJu2LBh1rZtW1u8eLHfQ4lrBw8edBuVkkMMxA+l0mgjYu3bRat74PMUM6WXtWvXzu+hwCcEM4g6rRKo1ahmU5T/jcilmCmlr0uXLn4PBUAYTZs2zXUopFUzEl1xcbHt3LmTVZkERzADXyj1SZ15WJ2JjLKyMpfKpxM8OcRAfFEgM3PmTDdhwYQQEtn27dutvLycYCbBEczAF7rA1r4JaqeoA+G1Z88eN2NFihkQn0aMGGEdO3akVTMSmgL6nj17WsuWLf0eCnxEMAPfqCtP586d3eoMH8bhzyHu0KGDW/0CEJ/puldeeaXbRHPz5s1+DweIOjXC0GQoqzIgmIHvqzNKk9i9e7ffw4kb6uqipXdO8EB869Gjh0vZVe1MSUmJ38MBokrdOnUdoU2hkdgIZuCrPn36WPfu3VmdCSMFMqqZIZgB4t+sWbNcSqm6mwGJloHQt29fa968ud9Dgc8IZuArzaqokFV7zugiHOE5wXfr1s11MgMQ3/Q+nzhxoq1evdpOnjzp93CAqNBr/fDhw9SFwiGYQUykSmhna63OaKNH1F9hYaEr/ucEDySOKVOmuNnpBQsW+D0UIGqTdk2aNLH+/fv7PRTEAIIZxATVzuTk5LgcWNSf2jErXW/w4MF+DwVAlDRt2tSlm3322We2f/9+v4cDRJQ+49TFbODAge61DxDMICZ07drVzbAsWbKE1ZkG0AledUhpaWl+DwVAFGk1VhvkqlUz51DEs+PHj7vJT+pC4SGYQUytzpw4ccI2bdrk91AC6fTp03bw4EFO8ECC1h+qVXN2drZt3LjR7+EAEZ20S01NdRN3gBDMIGZoAzi1GV22bJnrxoW65xAnJye7pXcAibnCPWzYMFu0aJHrcAbEY4qZPuuUSp2UlOT3cBAjCGYQU6ZPn25nzpyxDRs2+D2UwNEJXhuRNmvWzO+hAPDJFVdcYefOnbOlS5f6PRQg7LQvnbIQaHKDUAQziCmZmZluZnH58uXuAxm1o/zhY8eOkWIGJLiWLVu67mYff/yx5eXl+T0cIOwpZnqNa386wEMwg5hcnVGL4bVr1/o9lECd4LUiow3EACQ27TuTnp5uH3zwgd9DAcKmvLzcdezUpJ1qxAAPwQxiTuvWrW3kyJG2cuVKKykp8Xs4gcohVs0MgMSm/Tdmz55tO3futN27d/s9HCAs9u3b5yY6yUBAdQQziEnTpk1zgcxHH33k91Bi3pEjR9xuyOQQA/BockMbEr///vtuRhuIhwyEdu3auWZBQCiCGcQk5cSOGTPGVq1aZUVFRX4PJ+ZP8C1atHAXLgAgSsOZO3eu5ebm2rp16/weDtAgqqHdvn07KWaoEcEMYpaKWLX52+rVq/0eSszS47N161bX0rpxY97OAP6mU6dOLmVXmxErPQcIKqVMlpaWkoGAGnH1g5il1YZx48bZmjVrrKCgwO/hxKT9+/fb2bNnOcEDqNHMmTNdXZ0CGiCoVBfauXNna9Omjd9DQQwimEFMmzx5sltxWLFihd9DidkUM53cdZIHgJomhVSDqFSz48eP+z0coM6Uar5r1y4m7XBBBDOIaampqTZhwgT3QazNNPE3ZWVl9tlnn5FDDOCixo8f77pEqhmAVmmAINHnnJpYKJ0aqAnBDAKxZ4JajWojTfyNZqrU8Y02lQAuJikpyebMmWN79+51tQdA0FLMevXq5fZOAmpCMIOYp80glW62YcMGO3XqlN/DiakTvFpUZmZm+j0UADGuf//+1rt3b7eRplZ1gSDIz893+8swaYeLIZhBIIwdO9alnC1dutTvocQErchohpUcYgB1adWsPanYvwtBoW6dWlkcNGiQ30NBDCOYQSA0bdrUpk6daps3b7a8vDxLdOq3r9lVcogB1Fb79u3d/l3Lli1zXRCBIDS56devn5vMBC6EYAaBMXr0aJczS4vRz0/w2iQzIyPD76EACJAZM2a4DpGLFi3yeyjARWni8siRI6SY4ZIIZhAYycnJrsWoakWys7MtUWnPHRXycoIHUFfNmzd3Ac3GjRvt6NGjfg8HuCB91isrQ/VewMUQzCBQRowY4VqMJvLqjHKIlf8+ePBgv4cCIICUatauXTubP38+rZoRk/S6VAbCwIEDXTdT4GIIZhAoKgScPn26qxnR8nOizlb16dPHzbACQH3Oo2oGcPDgQdu2bZvfwwG+4NixYy7NjCY3qA2CGQSOTm6aVVy8eLElGrWmPnToECd4AA3St29fl76zYMECO3funN/DAc6jVRlN2Gl/GeBSCGYQOCpevfzyy2337t1uZjHRVmW05D5gwAC/hwIg4LSRpvbxWL16td9DAc5LMVM6tVKptYoIXArBDAJJPee1YaQ68iRSzrdmqxTIqCgSABqibdu2Nn78eFuxYoWdOXPG7+EAjiYp9XokAwG1RTCDQFIBvFZnDhw44HYHTgTq4Hb8+HG6mAEIG3WI1GrvwoUL/R4KUDVpp20HunXr5vdQEBAEMwgsbaTVpUuXhFmdUYpZSkqKy3UHgHDQOWXmzJm2ZcsWO3z4sN/DQYIrLy93TSk0aadJS6A2CGYQWDrR6UM4KyvLdu3aZfFMwZqCGXKIAYTbyJEjrUOHDrRqhu/27NljRUVFpJihTghmEGjqdNKzZ8+4X53RjKk6mXGCBxCJpipXXnmlmxhSig/gF03aZWZmWvv27f0eCgKEYAZxUTujepJ43i9BFxjp6enWo0cPv4cCIA5pUkiNVT788EMrLS31ezhIQHrdaQ85TdqRYoa6IJhB4HXv3t3VkSxZssQqKios3uh3IocYQKTNnj3bCgsLXXczINp27Njh9jyiyQ3qimAGcUGrM7m5uXGZIqFubQUFBaSYAYio1q1b28SJE92+M0prBaKdYta1a1f3OgTqgmAGcaFz5842cOBAW7p0qeuGEk8UoGk/CO2rAwCRNHXqVNfhbMGCBX4PBQlEK4LaCJtVGdQHwQzixowZM+zkyZO2adMmixdacv/ss89IMQMQFdqQd9asWS61Vft4AdGgzzk18RkyZIjfQ0EAEcwgbqi1qC76ly1bZmVlZRYP1HJaRZGkmAGIlmHDhrk9vNSqOR7rEBGbGQi9e/e2Fi1a+D0UBBDBDOJudSY/P9/Wr19v8ZJDrBQ6pZkBQDRoFXju3Ll27NixuFrpRmw6c+aMWwUkxQz1RTCDuKKL/uHDh9vy5csD3160uLjYdu7cyQkeQNR169bNrQhrD6+SkhK/h4M4pkk7bQatulegPghmEHemT5/udhD++OOPLeg5xGpmQDADwA+qndGkkFJ3gUgGM/3793eNJ4D6IJhB3GnVqpWNGjXKVq5c6VY3gnyC10Z22iwTAKKtZcuWNnnyZFuzZo3l5eX5PRzEIW2pcPToUepC0SAEM4hL06ZNc00A9CEcRGfPnnX7y3CCB+CnSZMmuaJsWjUjUpN2zZo1s379+vk9FAQYwQziklYzxo4d6zZ/U//6oNm6dasrwh00aJDfQwGQwJo0aWKzZ892u7Pv3bvX7+EgjqgVs7qY6XMuOTnZ7+EgwAhmELeUHqGT5apVqyxodILXTFVqaqrfQwGQ4LT3R/fu3WnVjLBSetmJEyeoC0WDEcwgbqWlpdmECRPso48+cmlbQaGTe1ZWFid4ADHVqjknJ8fWrVvn93AQJzRpp8/pXr16+T0UBBzBDOLaxIkTXcvHFStWWJByiJXaMWDAAL+HAgCO9rsaMWKELVmyxHWLBBpCK3xKp9aqX+PGXIqiYXgFIa4pTUsFrJpNPH36tAUph1gBDQDEiiuuuMK1i1dAAzSENsnUBtc0uUE4EMwg7o0fP951SwnCXgnZ2dmuVSUpZgBijbqaTZ061dauXetSzoD60qSdtlHo0qWL30NBHCCYQdxTIKNmAJs2bXL1KLF+gtdqUu/evf0eCgB8geoQdRH6/vvvu5VkoK60bYI2hdaqjOqxgIYimEFCUJvm5s2bx/TqjC4MvBxi1fkAQKxRC905c+bYnj17bNeuXX4PBwGk1442tCYDAeFCMIOEoPoTbaS5ZcuWmE2POHTokKvrIYcYQCxTcxJ1oNLqjGpogLpmIHTo0MHat2/v91AQJwhmkDBGjhxpLVu2jNniVZ3gNb5u3br5PRQAuGSr5pMnT9rHH3/s93AQICUlJW4DVlZlEE4EM0io9Ijp06fbtm3b7NixYxZLNLupFDOd4MkhBhDrNLM+evRoW7p0qRUUFPg9HASEAhnVzBDMIJwIZpBQhg8fbm3atLHFixdbLNm7d6/bu4EUMwBBcfnll7vJl0WLFvk9FARoHzVlH6iJBBAuBDNIKNqca8aMGbZz5047fPiwxdIJPjMz0812AkAQqKmKVrs3btwYc6vdiD1awdu9ezeTdgg7ghkkHC1vq/AwVlZnzp0759pUkmIGIIidItu2bUurZlySUrxl8ODBfg8FcYZgBglHAYNWZ5TatX///pjIIVZAQw4xgKBRG3m1ata5VJMywMUyEPr06WNpaWl+DwVxhmAGCWngwIHWqVMntzrj92yiTvDaBVm1PAAQNP369bO+ffvaggULXHE3UJ22HTh48CCTdogIghkk7OrMzJkz3clVG3j5RUX/2niOHGIAQaZWzWfOnLHVq1f7PRTEIE3aqaOoJhKBcCOYQcLScre6qvi5OqO0DN33kCFDfLl/AAiHdu3aufqZ5cuXW35+vt/DQQzuo6bNVps1a+b3UBCHCGZgib46c+TIEVe34tcJXjtpt2jRwpf7B4BwUWczzb4vXLjQ76EghuTk5Fh2djYpZogYghkktJ49e7pgwo/VGc1eqmiWEzyAeJCamuomiDZv3mxZWVl+DwcxQpN2KSkprq4KiASCGSQ8ffgeP37ctm7dGvUcYnUCGjRoUFTvFwAiZdSoUa71/fz5831vrgL/6TWgzzp9zmnVDogEghkkvK5du1r//v1tyZIlVlFREbX71QleXYA0YwUA8bIx8ZVXXuk2JdY5DolNK3QnT56kyQ0iimAGMHP7zuTl5bn0iGjQfalWhxM8gHij1F11rfrwww+ttLTU7+HARwpoVRPao0cPv4eCOEYwA5i5PWe0K/HSpUutvLw8Kif4pk2bupUZAIg32kizoKDAVq1a5fdQ4BNlOuizTt06tWIHRAqvLiBkdUb7JGzYsCHiOcQqiFQOcZMmTSJ6XwDgh9atW9uECRNs5cqVbsNEJB41uFFASwYCIo1gBvirzMxMd9LVPgnnzp2L2P0cO3bMpZnRxQxAPJs6daqrCVS6GRKPJu3atGljnTt39nsoiHMEM0C1fRLOnj1r69ati+gJvnnz5ta7d++I3QcA+E0bJKpbpFKNDh486PdwEEVlZWVuU2hN2mlPNyCSCGaAEJpFGjlypK1YsSIihatem0pyiAEkghEjRriaRFo1J5Zdu3ZZSUkJKWaICq6mgGqmTZvmTsIfffRR2G/7wIEDbrNMTvAAEoFm5dWq+ejRo7Zp0ya/h4Mo0aRdx44drV27dn4PBQmAYAaoJiMjw0aPHu268BQXF4c9xaxVq1ZubxsASATdu3d36UYLFy50E0WIb3qOd+zYwaQdooZgBrhA4apyfsPZVlQtn7dt20YOMYCEM2vWLHeRqwYriG/bt293n3c0uUG0EMwANdAmX+PGjXOpZmotGQ579uxxKz3MVgFIxBXvyZMn25o1a+zEiRN+DwcRpAwEbZLZsmVLv4eCBEEwA1yAPnhF+ySE6wTfvn17dwBAIp5T09LSbMGCBX4PBRGibqB79+5lVQZRRTADXIDaJ0+cONHWrl3rivYbQp3RlEPMCR5AotImwUo3UxrSvn37/B4OIkCp1EqjHjx4sN9DQQIhmAEuQjtYJycnNzjPW4GMNuIkmAGQyHQO7Natm2vVXFFR4fdwEIEuZn379nWTgUC0EMwAF6Hdq5UasX79ejt16lSDTvD6AG/dunVYxwcAQaJZ+7lz59rx48dtw4YNfg8HYXTy5Ek7dOgQk3aIOoIZ4BLUCCA1NdWWLVtWr58vLCy03bt3c4IHADPr0qWLDR8+3BYtWmRFRUV+Dwdhokk7pRIOGDDA76EgwRDMAJfQtGlTmzJlitvwLS8vr145xNr5esiQIREZHwAEzRVXXOHa3y9dutTvoSCMwYwCGX1mAtFEMAPUwpgxY1y75vp88OoE37t3b9fFBwBglp6e7vbzUoOV3Nxcv4eDBsrOznapg2w9AD8QzAC1oCYA06ZNc+2VdcKW8spKO1ZYZptyi23+wbP28t4z9ufdp92f+re+vvv4KTtw8BAneACoRt0itRfJBx984PdQ0ECatFONaZ8+ffweChJQst8DAIJi5MiRbs+ZBSvWWNcJV9jG3GIrLq+smhUI7cujf2/6a0Za07n3Wm7rlna6tNwymib5M3gAiMFJotmzZ9tLL71ku3btsn79+vk9JNSD0qg10ad2zElJfMYh+ghmgFo6Z42s7bQb7GBlczucXWiV1qjq/1VvMBr670ZNU2xdXqmtzSu14W2b2cwuadYsiUVRABg0aJD17NnTrc4oHZeL4eA5fPiwnT59mgwE+IYrKqAW9p0ptWe3nbQsS3OtRUMDmdr4fP3GbEteibsd3R4AJDqvVbOaq6h+BsGjVRnVQPXo0cPvoSBBEcwAl7A+p8j+vOeMFZZVVgUl9aWfLyirdLen2wWARNexY0eXxqsGK2plj+DQxqdbt251Ww8oMAX8QDADXIQCjgWHC9zfGxrIeLzb0e0S0ACA2cyZM13txeLFi/0eCupg7969LgAlxQx+IpgBLkCpYF4gEym6fVLOACQ6ta6fPn26rV+/3rX5RXC6mLVt29atrgF+IZgBalBcXmFvH8ivY2VM3en23zmQbyXl1VsIAEBiGTdunLVp08bef/99t0qD2Hbu3Dn77LPP3KoMKWbwE8EMUIPFWQVhqZGpbQ3NoqzIrgABQKxTJ7M5c+bYvn37bMeOHX4PB5egdtqlpaWuXgbwE8EMUM2pknLbnFcS8UDGo/vR/WkfGgBIZNprRhsvqlVzWVmZ38PBJbqYde7c2aWZAX4imAGq2ZxXXKf0suW/f8qeuf96+885Q+x/ju9i/3X1SPvLv3zHThzeX+vb0P1tyi2u13gBIN5aNZ86dcrWrFnj93BwAcXFxW5lhlUZxAKCGSBEeWWlbcwtrtOqzKoXf2X7N6y2lBYZ1rJ9Jzt17LBtfPsv9vTX5lnx2fxa3YbuT/er+weARJaZmWljx4615cuX29mzZ/0eDmqgWpny8nKCGcQEghkgRE5RuRWX1y2gGHfjV+zv395gP351lf39W+ts8pe/6b6en3vc9ny8rNa3o/vV/QNAopsxY4aroVm4cKHfQ8EFupj17NnTbZYJ+I1gBghxrLDuOdqX3/dja9Wpa9W/e46cUPX3pKZNI37/ABBvUlNTXUCzadMmO3LkiN/DQYj8/HzXpIG9ZRArCGaAasFEQ94UFeXl9vGrv3N/b9O1p/UdN63WP6v7JZgBgM+NGTPGpZzNnz+fVs0xZOvWra62adCgQX4PBXAIZoAQZ8sqrL47vpQWFdgfHrzbdq1ebOnt2ttdj/3Bkps2q/XP634LythvBgCkcePGduWVV9qhQ4fcBTRiJ8VMXee0egbEAoIZIER5Rf1m//Jzs+2Z+663z5a9b+169LFv/fod69B7QJ1vp6ye9w8A8ah37942YMAA+/DDD90mjfDXiRMnLCsri8J/xBSCGSBEUuO672KcvWe7PXX3VZb12WZXL/PA8++5FLP6SK7H/QNAPJs9e7ar01i1apXfQ0l4WpVp0qSJCzCBWJHs9wCAWNIiubGL8OuS7PWHh+6xU0cPub+XFJ615793R9X/G3vjnTb2xq/W6nZ0v2nJzC8AQChtyjhhwgRbuXKljRw50lq2bOn3kBKS6pa0UaZqZRTQALGCKycgRMfmyXWumSkrLa36+9Edn9qhT9dXHaezj9b6dioqKy1791aXG15YWFjHUQBA/Jo2bZo1bdrUpZvBH9nZ2Zabm0uKGWIOKzNAtWCmrv7hnQ3hufNGjez0wT328vJd7p+dOnVy+eI6unfvbsnJvF0BJKZmzZrZzJkz7a233nIbanbr1s3vISUcrcqo6F+fSUAs4eoICJGZmmQpSY3qvHFmOOh+v3P3HVaQn2979+51ffw3b97sUisUyCig8YKbjh07utaYAJAoRowYYWvXrnWtmu+77z7OgVFOMVO9zJAhQ9xmpkAsaVRJ83bgPEuPFNia7CKL5htDH8kTOqTa9M5p531db8+cnBzbs2ePC27279/vOvp4s2O9evWyPn36WKtWraI4WgDwx4EDB+z555+3G264wYYPH+73cBLucb/33nvdxBoQS1iZAaoZ0S7FVmcXRfU+K/96v9Vp5rF9+/bumDhxopWXl9vhw4fdyo2Od955xwU8rVu3rlq1UYBD/38A8ahHjx42ePBgVzujQnTV0SDytCqTkZFBeh9iEiszQA3eO5hvW/JKorI6o1WZYW2b2VXd0+v8s8XFxW61xgtu8vLy3Nc7d+5cFdzow4d6GwDx4tSpU/bkk0+6DmdXXHGF38OJe5pEe/TRR10nObXJBmINVzhADWZ2SbM9p0utoKwyogGNApm05Ebu/uojJSXFBg4c6A45ffp0VWCzYcMGW7FihQtkNJvpBTcdOnQg1xxAYCmtVivV2ndm1KhRbmUakaPPk6KiIhs6dKjfQwFqxMoMcAH7zpTan/ecifj93NanpfVqGf5UCb21jx8/fl69TVlZmTVv3vy8ehulDgBAkJSWltoTTzxhXbt2tVtvvdXv4cS1V1991Y4dO2YPPPAAE2GISazMABegAGN21zRbcLggYvcxp2taRAIZ0YeOVmF0TJo0yQUyqrfxghvtZ6OAp02bNufV22i1BwBimWplZs2aZa+99pqbqOnZs6ffQ4pLajizfft2mzJlCoEMYhYrM8AlrM8pcgGNTuPheLN4t6NAZlSmf4X6ShsIrbc5ceKE+7CqXm9DG04AsUiXL88995ybqPnGN75hjRuzD3gkCv9feeUV+973vucmvoBYRDAD1DLl7J0D+Q2uofFqZOb1SI/YikxDimq9wEYrN4WFhdakSZPz6m3UVY3ZOQCxQqvNCmiuueYaGz16tN/DiTsvvviinT171u3rA8QqghmglorLK2xxVoFtziup8yqN9/3D2zZzxf7NkmJ7BlGnBeVIe8HNwYMH3exnWlpaVWCjo2XLln4PFUCCU6rZ7t273eoBabLhXb1/5JFHbM6cOTZ+/Hi/hwNcEMEMUEenS8ttU26xbcwttuLyz98+Ck0qQr4n9N8pSY1sZLsUt49MRtNgpmwpkFFA463aHDlyxH29Xbt2VY0EtILDhQSAaDtz5oxrBjBmzBh34Y3wUEfMt99+23784x9bixYt/B4OcEEEM0A9lVdWWk5RuR0rLHNHQVmFlVVUWnLjRpaW3Ng6Nk92R2ZqkiXFWWqWUtBUb+M1Ezh58qRLP+vSpUvVqo26DFFvAyAali1bZkuXLrVvf/vb1rZtW7+HExd++9vfujqkr371q34PBbgoghkADaZgJrTeRukJ6jYUWm+TmZlJvQ2AiHXd0kaa6t54xx13+D2cuFjt+ulPf2rXXXed2ywTiGW0ZgbQYNq0TsW3OioqKs6rt/nwww/dDtJKUwitt0lPT/d72ADihJqVaHf6l19+2a0YK/UV9afW/VpZHzRokN9DAS6JlRkAEZ8x9eptdCjQEa3UhNbbNGvWzO+hAggwXc48//zzbmX4m9/8JmmuDfDss8+6DZXZkBRBwMoMgIjPmCpg8WZKCwoKXCqaApsdO3bYxx9/7PKyQ+tt9HcuRADUhdJYr7zySnvmmWds3bp1dOCqp7y8PNfkZfLkyX4PBagVghkAUaX2zpdddpk7NJMaWm/z0UcfuSJe1dtoR28vuFHXNOptAFxKp06dXI3HkiVLbOjQoda8eXO/hxQ4n3zyiTsH9+vXz++hALVCmhmAmKF6m6NHj1YFN4cOHXL1NqqvCa23oU0ogAvRJo+PP/64DR8+3K6++mq/hxMouiRUIwV1o7zhhhv8Hg5QK6zMAIgZXrqZjqlTp1ppael59TabN29239e+ffuqwEb1NppFBADRZMe0adNs4cKFbu8ZnS9QO6ppVJrZVVdd5fdQgFpjZQZAYKjexgtsdKh9qAKgbt26VTUT6Ny5s/sagMSljX5/8YtfWKtWrewrX/kKaaq19MEHH9iWLVvcRpmcRxEUBDMAAkmnrhMnTpy3v01JSYnriqbARodWbrSBHhcyQOJRg5EXX3zRbr/9dhswYIDfwwlEmu9jjz1mAwcOJD0PgUKaGYBAUoCiQEXH2LFj3QexOvB4wc3777/vvtayZcvz6m3UgABA/Ovfv797z2u1Qau2yclc8lyMUnrz8/Nd4wQgSFiZARCXVG9z4MCBquDm+PHj7uvaITy03katowHEJ73vn376aZs1a5ZNmjTJ7+HEtLfeesudK7///e+zmo1AYZoCQFzyWot67UXV4cgLbD799FNbvXq128smtN5GbV3JEwfih4r/1QRg2bJlNmzYMDohXoC6Rm7bts09VgQyCBpWZgAkHJ321LFnz549rtZGh1ZyUlJSquptFNy0bt2aD3Yg4AoLC12r5kGDBtl1113n93Biur7ogQceoPsbAoeVGQAJRwGKNuLUoV3CNSsZWm8zf/58V2+TkZFRlZKmAId6GyB4tHHmjBkz3Pta9XVagcX5tFqtIIZABkHEygwAVKOuaKH1Njk5Oe7rHTt2rApuunfvTr0NEBCasFDtjCYk7r77blZcQ2hV+pFHHnF780yZMsXv4QB1xsoMAFSj9s7qhKRD1OHHC2y0B8OqVatcvY0CGi+4UaBDvQ0Qm/R+nTt3rv3xj390tSFDhgzxe0gxlWJ27tw5u+yyy/weClAvrMwAQB3olKmVGi+42b9/v7sQSE1N/UK9DYDY8qc//cmys7PtO9/5Diurf/XCCy9YcXGxfe1rX/N7KEC9EMwAQAPTV7KysqqaCRw+fNgFPNp5PLTeRnn7APylxh9PPfWUTZ8+3aVVJTo1R3j00UfdqtW4ceP8Hg5QL6SZAUADeOlmOi6//HI3wxlab7Nhwwb3fSo6Dq23YQM/IPq0ya4u2lesWGEjRoxwm+omMqXcafKFtDsEGSszABBBZ86cqQpsdBQUFLhApnq9DQXJQHRowkGtmvv27Ws33nijJbLnn3/enY++8pWv+D0UoN4IZgAgSnS61Y7kXmCjFRyv3sYLbHQoRQ1A5Kxfv97efvtt+/rXv25du3a1RHT69Gl77LHH7IYbbrDhw4f7PRyg3ghmAMDHeptDhw5VBTfa60anZDUPCK23UbADIHy0j9QzzzzjViUU0CTiyujKlSttyZIl9tBDD7kOjkBQEcwAQAylv6g7mtdMQMXKusgKrbfp1q0b9TZAGOi99tvf/talmg0bNswSzS9/+Utr06aN3XLLLX4PBWgQPhEBIEakpKTYwIED3eGlgYQ2ElDRsgKZHj16VAU3HTp0SMhZZaChevbsaYMGDbIPP/zQveeaNm1qiULt5Y8dO0ZHN8QFVmYAIAB0qtb+GKH1NmVlZa7lc2i9TUZGht9DBQLj5MmT9uSTT9rkyZNdN8JEsXjxYvvoo49cihkrvQg6XsEAEABafVHXMx2TJk1ygUxovc2nn35a1XrW27hTM89a7QFQM9WnTZw40VatWmUjR45MiOYbmhj55JNP3KoUgQziASszABAHioqKXJ2NAhv9eeLECRcAde7c+bx6G+2LA+BvSkpK7IknnnDpmzfffLPFO23y+6tf/cq++tWvuvMCEHQEMwAQh06dOnXe/jYKdpo0aXJevU379u2ptwHMbNOmTfbGG2/YPffc494j8Wz+/Pm2detW+9GPfmSNGzf2ezhAgxHMAECc02lexb5eYHPw4EGXppaWlnZevU2i74aOxH6PaLVCLZvvv//+uL3I1+/305/+1IYMGWJXXnml38MBwoJkSQCIc157Zx0qdNZGnaH1Nsqfl3bt2p1Xb8PeE0ik94gu7n/961+7VZpRo0ZZvLajPnv2rA0dOtTvoQBhQzADAAlG6WbeaowUFhZW1dvs2rXL1q5d6y7utDO6F9x06dKFehvENdWU6SJ/0aJFbuUiHoN5NQpR0wPV0gHxgjQzAMAX2tV6G3cqwNFmntqDQ6s1Cm4UBGVmZlJvg7ijvZ3UDGDcuHE2e/ZsiydKLX3kkUfc7zZz5ky/hwOEDSszAIDzaOZ2zJgx7lCOfWi9jTYYLC8vtxYtWpxXb5Oenu73sIEG0z5NU6ZMsWXLltno0aOtTZs2Fi92797tOreRYoZ4w8oMAKDWVG+jBgJecKNAR7RS4wU26gYVjyk6SJzXuFZnVGN2++23W7x46aWXXMv2b37zm34PBQgrVmYAAHWqt1ENjQ4pKCioSkfbvn2721VcnaBC622Un0+9DYL0GleK2SuvvOJe1/GwF4tWZHbu3GkzZszweyhA2LEyAwAIC32caObX27hTh1dvo8DGq7dR1zTqbRDrr+Xf/OY37vX7rW99K/Ctmjdv3myvv/66/fCHP3SpdEA8IZgBAESE6m2OHj1a1UxA6Wn6muprQuttVH8DxJojR47Ys88+a1dffbWNHTvWguyPf/yjlZaW2r333uv3UICwI80MABARms1WS2cd06ZNcxdTofU2mi2W9u3bn1dvo5UcwG9KjxwxYoQtXrzYLrvsMktNTbUgUiqoJhQUlAHxiGAGABAVClL69u3rDtHmfV69zbZt22zNmjUuANJ+H15wowvKoKf4ILiuuOIK99pcsmSJXXXVVRZEGr/SOgcPHuz3UICIIM0MAOA7fRTl5eVVrdpop3IVLasrmldvo2YCapVLvQ2iacWKFW4jzQceeMB17QuaX//615aSkmJf/vKX/R4KEBEEMwCAmKPaGtUsePU2hw4dcl9r2bLlefU2aWlpfg8VcU6bTT711FMukL7zzjsDFUyfOnXKfvazn9mNN95ow4YN83s4QESQZgYAiDlee2cd06dPd/U2Bw4cqApuNm3a5L6vQ4cO59XbqK0uEE7Jyck2Z84c+/Of/2y7du2y/v37W1B8+umnbvwDBw70eyhAxBDMAAACUW/Tr18/d0h+fn5VvY0u2FavXu32sgmtt9Gmh9TbIBwGDBjgUh0/+OADl+4YlH2T9N5QIENTDcQz0swAAIGmj7Hc3Nzz6m20kqM6AW9vGx2tW7cOVIoQYkt2drb98pe/dBtqTpw40WLd8ePH7Re/+IXdfvvtLhgD4hUrMwCAQFOAosJsHePHj7fy8nLLysqqCm7effddF/Bos8DQepvmzZv7PXQEiFIaR40aZUuXLnX1J7Fer/XJJ5+4gN7rHgjEK1ZmAABxTV3RQuttcnJy3Nc7duxYFdh0796dehvUas+WJ554woYMGWLXXHONxSpd2v385z93r+1rr73W7+EAEcXKDAAgrqm9s4q2vcLtM2fOVNXbbNmyxVatWuVqIBTQeMGNAh3qbVCdVmPUkEK1M2PGjHGvk1iklUl1Mhs6dKjfQwEijpUZAEDC0kegVmpC623OnTvndnuvXm8DiNIYVYuSnp5ud911V0zWYb333nv22Wef2Q9/+EOCcsQ9VmYAAAlLF6Lt27d3x4QJE9yF6uHDh6uCm3feeccFPApmvI07e/bsSb1NAtMq3ty5c+2FF16w7du326BBgyyWaD+mrVu3ulUZAhkkAoIZAABCLlS1X42Oyy+/3IqLi91qjRfcbNiwwX2f2j6H1ttoLw8kDrUIV2G90s3091h6/pVCqdoeUsyQKEgzAwCglk6fPl1Vb6NDF426kK1ebxOLqUcIL7UDV7rZjBkzbOrUqRYr3njjDTt06JB95zvf4XWIhEAwAwBAPejjU3t5eIGNOqap3kYpaKH1Nq1atfJ7qIiQ+fPnu9W6733ve66Gxm96/T3yyCNuHxwFWUAiIJgBACAMysrKzqu3OXLkiAt42rRpc169jZoLID4UFRXZ448/7jalvP766/0ejm3bts1eeukltyrTrl07v4cDRAXBDAAAEbrQDa23OXHihEv76dy5c9XKTbdu3WKq3gJ1t3btWrcx63333WddunTxdSx/+ctfXEvmb3zjG76OA4gmghkAAKJAF5kKaryam8LCQhfIqNmAl5KmXeapcwgWdQ/75S9/6fYzuvfee317/tSsQilmV1xxhUszAxIFwQwAAFGmj97s7Ozz6m2UpqZNGUPrbTIyMvweKmpBAervfvc7u+mmm3zrIrZp0yZX/P+jH/3IWrZs6csYAD+wtg0AQJRp9l5dz3RMmjTJBTLqQOUFN59++qn7vrZt21YFNqq3SUlJ8XvoqIEC0IEDB9qHH37o/mzSpEnUx/DJJ5+41wiBDBINKzMAAMRgvU1oC+iTJ0+6AEg1GV4zga5du7p9cRAbVBP11FNP2ZQpU6LeSezs2bP2k5/8xObNm2ejR4+O6n0DfmNlBgCAGKOOZ4MHD3aHKJjx6m3WrVtny5cvd7P/mon30tLat29PvY2P1LVuwoQJtnLlShs5cmRUUwS3bt3qnnvv9QIkElZmAAAIEH1sHzt2zPbs2eOCG9XblJeXu3obLyVNB+lG0VdSUuJaNSvA/NKXvhS1+33uuefc/kZ33HFH1O4TiBWszAAAECCage/UqZM7lNKkjRJVb+MFN6qdEO0zElpvo25biCw9xuom9uabb9rYsWOte/fuEb9Prdppf6NoBk9ALGFlBgCAOKKWz6H1NmoJrQBINTZecKPaG+ptIkOXVc8++6z7+/333x/x1L9ly5bZihUr7KGHHrKmTZtG9L6AWEQwAwBAnNJHvFdv49XcaD8SXfR69TZqJqBVHOptwufgwYP2m9/8xq6//nobMWJERJ/fX/ziF64rntpCA4mIYAYAgATa4PHo0aNVgY0uulVv06JFi/PqbdLT0/0eauC98sortn//fvvud78bsRQ/7VX09NNPu1qZ/v37R+Q+gFhHMAMAQIJSvY0CGq/eRo0FJDMzsyqw6dGjB/U29XD69Gl74oknbPz48TZr1qyI3If2tdmwYYM9+OCDpA0iYdEAAACABKX2zkoz0yEFBQVV9Tbbt2+3jz76yBo3bvyFeht9DRen1szaEFWtmrX3S+vWrcN6+5qL1uaqasdMIINExsoMAAD4Al0eaCPI0HobtR5WvY1qbbx6m7Zt21JvcwGlpaVudUYB4G233RaRupx77rnHrZ4BiYqVGQAA8AUKUBSo6FCbYdXbHDlypCq4+eCDD9zXtJ+NVmy8zTtVf4PPKfCbPXu2vfrqqy4Y1GMULmrBrcc+Gu2fgVjGygwAAKjXqoM27PRWbVSMLu3btz+v3ibR2wXrMuvXv/61q0/6xje+EZYUPTVt+MlPfuI6pSlYAhIZKzMAAKDOFKT069fPHXL27NmqeputW7famjVr3IV7t27dqoKbzp07J1y9jVa4rrzySvvVr37livXHjBnT4NvUY6z9hIYOHRqWMQJBxsoMAAAIK11a5OXlVaWkqUWx6m3UFc1LR9PRpk2bhKm3ef31123Xrl32ve99z1JSUhp0W6+99ppL+fv2t7+dMI8fcCGszAAAgLDSBbY24tQxbtw4V1uTlZVVFdzMnz/ffU0dv0KDm7S0NItXV1xxhW3bts2WLl1qc+fOrfftKF1NneYmT55MIAMQzAAAgEjz0s10TJ8+3dXbaLXGC242bdrkvq9Dhw7n1duodXS80EakU6dOtSVLlrhWzQr06mPnzp3u8bvsssvCPkYgiEgzAwAAvsrPz69qJKANPFV/o71TQuttOnXqFPh6m7KyMnvyySfdpqRf/vKX63UbL774ont87rvvvrCPDwgighkAABAzdFmSm5t7Xr2NViJUZxKakqZNKIOYZqVUs5deesnuvPNO69u3b51+tqioyB599FGbNWuWTZgwIWJjBIKENDMAABAzFKBo5ULH+PHjXRvi0Hqbd9991wU8rVq1qtq4U382b97cgmDQoEEuhe79999349YKlJRXVlpOUbkdKyxzx9myCiuvqLSkxo2sRXJj69g82U4d3G0VlWZDhgzx+9cAYgYrMwAAIDDUFS203karOKI0NG/lRhtJxnK9zbFjx+yZZ56xOXPm2KBRY21TbrFtzC224vLPL8mUTFcR8v2h/25UVmoTumTYiHYpltH080AISGQEMwAAILDOnDlTVW+jP716GwU0ofU2sZaS9vrb79r2ypZmXQeaRlaXizHv+4e3bWYzu6RZs6Rg1xIBDUEwAwAA4oIuaXJyclwTAQU3WsFRK+PU1NQv1Nv4ad+ZUntr/xkrLKswa1T/QERBTVpyI5vXI916tWwa1jECQUEwAwAA4pLqbQ4fPlyVkqbaG132KJjxAhsFOQp2omV9TpEtOFxQ59WYC/FuZ3bXNBudGb3fA4gVBDMAACAhFBcXn1dvk5eX577euXPnqmYCagednJwc0UAmUghokIgIZgAAQEI6ffp0VWCjo7Cw0AUyofU2HTt2DEu9jVLL/rznjEXabX1aknKGhEIwAwAAEp4uh44fP35evY02uVTL59B6G7WErqvi8gp7dttJKyyrDEtq2aVqaO4f3JqmAEgYBDMAAADVKJBRvY0X3Bw5csQFPG3atKkKbHr27Fmrepv3DubblrySiAYyoQHNsLbN7Kru6VG4N8B/BDMAAACXUFRUdF69zYkTJ1z6meptvOCma9euX6i3OVVSbk9vOxn18T4wpDX70CAhEMwAAADU0alTp6oCG63cqN5GG3X26NGjqplA+/btbdnRQluTXVSvVZkX/uHr9smCN93fh825we74f8/WenVmQodUm945rR73CgRLZNp1AAAAxDHVzowaNcodmhc+duxYVXCzePFiW7BggTVv0cIqp3/ZKpOa1Pn2173xQlUgU1cKnDbmFtuUTs0tKcY2CwXCjWAGAACgAZRu1qlTJ3dMnjzZ1dscPHjQPjlw1D6rRyCTd2ifvfXwP1v3YWPtdHaWnc4+UufbKC6vtJyicuvYnEs9xDdaXQAAAISR6mZUQ9Nj6Og6/2x5WZn9+X88YI0aN7bb/s8vrFHj+te9HCssq/fPAkFBMAMAABABCibqeqG18JmH7dCn6+36f/xva9OlR73vW/dLMINEQDADAAAQAWfLKqyiDt9/eNsmW/qbn9mIq2+xkVff3KD71v0WlNXl3oFgIpESAAAgAsor6tbDLHv3Z1ZRXm6fLnzLti1+x33tXHGR+/PTRW/bv07uYf80/xNLSW9Zq9srq+P9A0FEMAMAABABSY3r10msrKT4C1+rKCuz0rIyq6xDk+fket4/ECTsMwMAABAB8w+etS15xXVKNavuv+aNslNHD9VpnxmvjmBY2xS7snuLBtw7EPuomQEAAIgAtUX2q2pF90tbZiQCXuUAAAAREI5g4h/e2eDr/QOxjpUZAACACMhMTbKUJH/qVnS/un8g3hHMAAAAREBSo0Y2sl2KRTuc0f3pfnX/QLwjmAEAAIiQEe1S6tB/LDwq/3q/QCIgmAEAAIiQjKZJNrxts6itzuh+dH+6XyAREMwAAABE0MwuaZaW3CjiAY1uX/ej+wMSBcEMAABABDVLamzzeqRHPN1Mt6/70f0BiYJXOwAAQIT1atnUZneN7IrJnK5p7n6AREIwAwAAEAWjM1OrAppwpZw1CglkRmWmhulWgeBoVFlZGe0mGwAAAAlr35lSe+dAvhWUVTYo9cyrkVFqGSsySFQEMwAAAFFWXF5hi7MKbHNeiQtK6nIx5n2/upap2J8aGSQyghkAAACfnC4tt025xbYxt9iKyz+/JFNoUhHyPaH/Tkn6fCNO7SND+2WAYAYAAMB35ZWVllNUbscKy9xRUFZhZRWVlty4kaUlN7aOzZPdkZmaZEmNorVrDRD7CGYAAAAABBJJlgAAAAACiWAGAAAAQCARzAAAAAAIJIIZAAAAAIFEMAMAAAAgkAhmAAAAAAQSwQwAAACAQCKYAQAAABBIBDMAAAAAAolgBgAAAEAgEcwAAAAACCSCGQAAAACBRDADAAAAIJAIZgAAAAAEEsEMAAAAgEAimAEAAAAQSAQzAAAAAAKJYAYAAABAIBHMAAAAAAgkghkAAAAAgUQwAwAAACCQCGYAAAAABBLBDAAAAIBAIpgBAAAAEEgEMwAAAAACiWAGAAAAQCARzAAAAAAIJIIZAAAAAIFEMAMAAAAgkAhmAAAAAAQSwQwAAACAQCKYAQAAABBIBDMAAAAAAolgBgAAAEAgEcwAAAAACCSCGQAAAACBRDADAAAAIJAIZgAAAAAEEsEMAAAAgEAimAEAAAAQSAQzAAAAAAKJYAYAAABAIBHMAAAAAAgkghkAAAAAFkT/PyO2oyIAP5R7AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from qlauncher.problems import MaxCut\n", "\n", "pr = MaxCut.from_preset(\"default\")\n", "pr.visualize()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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dqKkblGoQNFuum1XdnAfoplU3hIEjEHgozU03t2rru2LFiq98bwUHattc8+ZOgZhu2GqmwwU6qQUE9n2p781uXalrm54rbbZZkzou6XnUKlhN+llr1g5o/FqxmD179jlnlNUJSjfWmmWvmbYTcLbWw+FCtVGqmahJv3etDtRMYdTv7Wy/Mz0nZ86oP/HEE+esL7oQPc8KOhV8KyiqKfA4qmnS600d6woKCur9fOu1r05yCkD0PlEHrgutRCnd8MxxaSwac83nSx87s6X3s88++5Xn5WzPn/adUspeXSlQ0mqTOuhp1epsAq/hmo+pFtdnvscVvNf2fRrojKiJkpqUuijqTAcgerEyA0SR89UABOjGQDcJauGr1LRjx465ehLNYm/evLn68/RxFcNr1jfQ+lY39CpGV5qJ9nk4X0qW0nA0e6sARyltuknSzZ8+rhaqSmnT7HNgrxkVtCt40rj0uUpZ0U1iYBY9QP+vFDrNiOsGUDfJKpKvb77+hSgw1HOgwEtBn2oilEqlAEWz12eOT7UaCk6UaqWVL6XyiVpan4sCGQWiamOt1rQKGrWKo9Ql1SrpeTszmAoXSo3S60OtvVUbpMBG6XK66VUL4gAFEFrh0mtPNUj6fen3pnoRfb7Sy1TYrZtifV596z30XCrQ1OtJKZB6jet1pnbOCiRU76HXrdoLKxBVfYuaHKgRhAIAvb71PdTy+UIUzOr7KwiVQNvw89FEgOrO9BrXz6sUQjWi0CpEzTbEGr/aVOs5VAtijV+rqWeutuj50+PqZ9DeUWrLrNXSmquZtaXXrAK5v//7v3f75dQ0dOhQd+jx9L7WSrDOJVqR0ntRP0vNwFCNDvQxBXl6XSj9Te+Ns9Uy6T2lc5eCNQU/CgrVHlu/K6Wz6f0HIIp53U4NQPBbM5/P2VozP//88641rdqZ9u/f332vM9ulXnfdda7F7b59+0772nfeecd93s9//vNajVNtW//1X/+1asiQIVVNmjRx7WzVBlrta9X6uaZHHnmkqlOnTm5ckyZNci2Oz2zNHBjDwIEDq+Lj4y/Yprm2z5Pa3ap98NmodbJaAKenp1clJCS4506tdWu29a3Z3vj3v/999fOrFtVqc3y2MQVaMwfo89QuWO1w9Tz16tWr6vbbbz+t1fO5xqnnaNCgQbX6/delNfOZLZfPbPG7Z88e15JXY9WY1cpbbcHVCrsmtS2eOnWqayGtrw+0F9br44477qhq06ZNVbNmzdzPr889swXxuX6PgXGe+Ry/++67VRMnTnSP16JFi6qxY8dW/eEPfzjtc9RWWq9ztenW70qPeeONN1bNmzevqra2bNniHl9fr5/lTGc+XydOnHDPs953+j3qd6020n/6059O+zq1W/6Hf/gH97zofaPnRW3Az9aaWS2JO3bs6H5WvW/U2vrM901tWjPr8wPtxc88Ai2W9ZpXW3CNI/D6fv/9992Y9LGali9fXjVq1KiqxMTE077H2VpCl5WVVf3Hf/yHa42t91iXLl3cOUI/X21ez2c7TwCIDDH6j9cBFQAAAADUFTUzAAAAAHyJYAYAAACALxHMAAAAAPAlghkAAAAAvkQwAwAAAMCXCGYAAAAA+BLBDAAAAABfIpgBAAAA4EsEMwAAAAB8iWAGAAAAgC8RzAAAAADwJYIZAAAAAL5EMAMAAADAlwhmAAAAAPgSwQwAAAAAXyKYAQAAAOBLBDMAAAAAfIlgBgAAAIAvEcwAAAAA8CWCGQAAAAC+RDADAAAAwJcIZgAAAAD4EsEMAAAAAF8imAEAAADgSwQzAAAAAHyJYAYAAACALxHMAAAAAPAlghkAAAAAvkQwAwAAAMCXCGYAAAAA+BLBDAAAAABfIpgBAAAA4EsEMwAAAAB8iWAGAAAAgC8RzAAAAADwJYIZAAAAAL5EMAMAAADAlwhmAAAAAPgSwQwAAAAAXyKYAQAAAOBLBDMAAAAAfIlgBgAAAIAvxXs9AACIdKfKK624osqqqsziY82aJcRabEyM18MCAMD3CGYAoJHll1XYlqwSO1RQZhlF5VZUXnXav8fFmLVLibf0pvHWNzXRujZLsBiCGwAA6iymqkpzhQCAhjpcWGarM0/ZjtzS6o9VXSDPt9LMWiXF2ui2KTasdbLFxxLUAABQWwQzANBApRVVtjCj0NafKDaFIvU9qbZOirMruze3Dk1YNAcAoDYIZgCgATKLyu2NPXmWX1ZZ7yAmILAmM7VjExvfPoXUMwAALoBgBgAakFb22q5cK6+s/2rMuYxqm2wzOzUloAEA4DxozQwA9XDsVHnQAhlZd7zYFh8pCsJ3BgAgchDMAEAdlVdW2dt784MWyASsyDxle/P+1kwAAACcjmAGAOpo2dEiyyqpCGogI0ow++BAgZVUqOcZAAA4E8EMANTBiVPlbsUkFBQsFZZV2lLSzQAAOCuCGQCog0D75VBRQLPhZLFr/wwAAE7HZgYAUEtK99p8srjO6WWbPn7LFr/8hB3bu9MSkpKt15jJdskP/9Vad+lRq69Xbc6W7GIb0SalXuMGACBSsTIDALW0M7fUyusYyax5+/f22k/vtoxtn1nzNu2tsrLCPp/3vj1zx+WWfyKz1t9n88mSug8YAIAIRzADALWUUVhep5NmeVmpffz4f7q/D774Cvv799baT95YbklNm1lB1nFb8MJjtf5emafKrYJtwQAAOA3BDADUUkZhmdWlr9ihLRusMOek+/ugi690f7Zo28G6DBnt/r5j+fxaf6/KKjUfqKjjiAEAiGwEMwBQSyeK6xZM5GZmVP+9Was2f/t7Wtsv//3o4Tp9v+PF5XX6fAAAIh3BDADUQlVVVZ3rZc7zzer1ZXQ0AwDgdAQzABAkqe3Tq/9ekH3iK39P7dDJk3EBABApCGYAoBZiYmIsro4bzHQeNMKatExzf98y7z33Z97xo3bws7Xu730nzqjT90uIDeUONwAAhD+CGQCopbSkuDp9fnxCos2575/d39WO+X+vHG2Pfm2ilRQWWNOWrW36HT+q0/drnVy3xwcAINKxaSYA1FJ603g7WVxRp45mY792qyWkNLElv3vKju/dafGJSTZoxuV2yQ//xXU2qy2tybRL4ZQNAEBNMVWqagUAXNDGE8X20cGC0D9wVZWlJcbY3YP/1hENAAAQzABArRWVVdqTn2fVaWWmMeg0XbF1hXWryrWhQ4fagAEDLDExMcSjAAAg/BDMAEAt5eXl2aufZ1h2UprFxIau5FCPNLXqkG3bvNH2799vCQkJLqAZNmyYde/e3WJDOBYAAMIJwQwAXEB2drYtXbrUNm7caAltO5mNuypkj61amUFpSXZFt+bu/3Nycmzz5s3uOHnypDVv3tyGDBniApt27dqFbFwAAIQDghkAOIcTJ064IEaBQ0pKik2YMMHGjBljc4+W2udZJRaKk2dSbIx9Z2Ara5Zw+uqLTt0ZGRm2adMm+/zzz+3UqVPWoUMHl4am4KZZs2YhGB0AAN4imAGAM2RmZrogRkGCVj4mTpxoo0aNculdUlxRac9tzbai8qqgBzRXdmtmg9KSz/s5FRUVtnPnThd07dixwyorK61Xr14usOnfv3/1uAEAiDQEMwDwV1rpWLJkiW3bts1SU1Nt8uTJNnz4cIuP/2pL5P35pfbHXXlBbQYwqFWiSy/Thp21pRWaLVu2uMDm4MGDrlHAwIEDXWCj+pq6fC8AAMIdwQyAqKeb/sWLF9uuXbssLS3NpkyZ4lK14uLOv0nl9pwSe3tvflBWZ3q3SLBre7awuAYEH1lZWdX1Nar7UYCmn0uBTdu2bRt1vAAAeIFgBkBU0qlv3759LojRn7q5VxAzaNCgOnUH25NXam/vzbOySmu0oGZoWpJd0rWZxTbSKop+1kOHDrn6Gq3aFBcXW3p6ugtqBg8ebE2bNm2UxwEAINQIZgBEFZ3ytAKjdDKtyKhofurUqa62pL4pWPllFfbh/gLbk1/muo/V56Sqr0uOi7HLujWzPqlJFizl5eWuvkaBjf6U3r17u8CmX79+Z02pAwAgXBHMAIgKOtVt377drcQcOXLEOnfu7IIY3cg3Rh2Jvv8XOaW2MrPIjp2qMKusNLvACk8g8EmMjbFhrZNsYocmlhIfuj1jioqKXJMDpaEdPnzYkpKS3MqUApuuXbtSXwMACHsEMwAimjp7bd261a3EHDt2zLp16+aCmB49egTlZl0rH4/85rfWethEq0ptb1klFWddqUmJi7H0pvHWr2WSDWiVZAmx3gYO2rNGqzWfffaZ28umZcuWLqjR0bp1a0/HBgDAuRDMAIhIalesG3O1WNaNuloVqyZGwUwwqTXyH/7wB/ve975n7du3t7LKKjtRXG4l5VWu81l8TIylJcd9Zd+YcKFLwoEDB1xgoyCwpKTErWIpqNGqTZMmTbweIgAA1QhmAEQUrYzoRlxBjFYYVAeiIKZTp04hefw333zTjh49avfee6/5XVlZmQvO9HyqzkgrWX379nWBTZ8+faivAQB4jmAGQETQjff69ett+fLllpeX51YRtE+MCvxDpbS01B5++GEXPOmIJIWFha6+RoGNao6Sk5NdJzQFNlq5ob4GAOAFptUA+JoCiDVr1tiKFStcQbv2UVEQ48U+KlrFUFClm/xIo/bN48aNc8fx48er62vWrl3r9uYJ1Ne0atXK66ECAKIIKzMAfEl7paxevdpWrlzp6jqGDRvmghjdWHtFtTIKqL797W9bNO3Vo25oqq9RYKkuaApqBg4caCkpKV4PEQAQ4QhmAPiKggUFMApkVB8zcuRImzRpktvd3utxPfLIIzZ79my3ehFttCK1bds2F9js3r3bbTyqeiUFNmp/HRcX5/UQAQARiDQzAL5QUFDg6mGU1iSjR4+2CRMmWPPmzS0cfPHFF26lQrU60SghIcGl+OnIz8+vrq957bXXXAc0PS9aPUtPT6e+BgDQaFiZARDWcnNzXRCj4n7N7o8dO9bGjx8fdi2CX375ZTe+b37zm14PJaxkZmZW19coINWeNYH6Gu1lAwBAQxDMAAhL2dnZrr3yxo0b3c70geJzddEKN+qe9otf/MKuvvpqGz58uNfDCdvNS/fu3evS0LSKpbQ07fmj1RrV1+h3DABAXRHMAAgrJ06ccEGMbnq1+qJUMqWUhfPNrlaO5s+fb3/3d38X1uMMF2oUoIBGv+M9e/a4/Wr69+/vVmu0uanqbQAAqA2CGQBhk460ZMkS27Jli6uDUVG/ivtVixHunn32WZcydeONN3o9FN/RqpZS0JSKppbPagGt1tZasdEeQdTXAADOh2AGgKcyMjJs8eLFtn37dhcQKIhRqpZfdpfXStJTTz3lApkBAwZ4PRzf0qXo6NGjbrVGwY026dReQYH6mhYtWng9RABAGCKYAeCJAwcOuJWYXbt2ub1hpkyZ4jph+a2F78KFC12r6AcffNA3AZgf6mvU3lmBjdo9qwV3jx49XFCjgJFUPgBAAMEMgJBvsqiVGP2pmfepU6e6AnA/1kno53nyySfdRpEq/kfj04ao2pBTgY1eM0o7VH2N0tAU4PjxdQMAaDwEMwCCTqcZrcAoiDl06JB17NjRrcToptTPNRFKkXvuuedcO2YVriO4cnJyXAqaAhul9zVr1syt5imwad++vdfDAwB4gGAGQNDo9KI0IaWTHTlyxDp37uxWYrQjvJ+DmICPP/7Y3Vz/5Cc/YYUgxK8rBZIKarQ5Z1FRkQtmlIam4CZcNlIFAAQfwQyAoNQ8KDVIQcyxY8ese/fuLojRn5EQxAR+xscee8zVcFx66aVeDydqVVRUuFU/BTZqIqHfS8+ePV1go5W/xMREr4cIAAgiqlUBNOqNpVYqtE/MyZMn3QrM5Zdf7mpKIs3+/fstPz/frQTAO2oY0a9fP3cUFxe71t4KbN566y0XyCjYVBpaJAXSAIC/YWUGQIOp29TGjRtt2bJlrq5BN5aqienUqZNFqnfffdftaP/DH/6Qm+QwlJ2d7YIaHVlZWa61c6C+Ro0nAACRgWAGQL2VlZXZ+vXrXRCjVYpBgwa5ICbSi7EVvD3yyCM2ZswYmzFjhtfDwXnoEnf48GG3Kafqa7R6owYUgfoabdIJAPAvghkA9WqXu3btWluxYoUrvtaN4eTJk61NmzYWDVSb8dprr9m9997LLL/PgtCdO3e61ZodO3a4QEepkHr9ajVRbZ8BAP5CMAOg1jSrvWrVKncooBk+fLgLYlq1amXR5M9//rNrDfy9733P66GgnhSEB+pr1C5cG3FqvyOloanGi9RBAPAHghkAtbrx0y73q1evdkX+I0eOtIkTJ1pqaqpFm9LSUnvooYds2rRpLpCD/6lZRaC+RjVfel1rtUZHtKw2AoBfEcwAOKeCggJbvny5SymT0aNHuyBGmxVGq0CnrB/96EfWsmVLr4eDRqTL4cGDB119jVZttPqoJhYKagYPHmxNmjTxeogAgDMQzAD4itzcXFfUr+L++Ph4Gzt2rI0fP56bOTN79dVX3U3uHXfc4fVQEOT6GtXVKLDRPjbSp08fF9j07dvXvS8AAN4jmAFwWjtbbXSpGzjVEIwbN84dycnJXg8tLBQWFrouZtokU53MED2/d3VC06pcRkaGez+oc58Cmy5dulBfAwAeYmoJgCtmVxCjDS+1+qJ2w0opU0CDv9m6dav7U4XiiB5q3xwI7PVeUbCvwGbdunWu+UWgviYtLc3roQJA1GFlBohimZmZLohRfUDz5s1t0qRJrrifFrVn9+KLL7pd5W+55RavhwKP6dK5f/9+F9goyFVjCK3SKKjRqk1KSorXQwSAqEAwA0QhbSKoIEb7paiIXV251JKWOoDz1xE99thjdu2117obVqDm5rF6Lymw2b17t8XGxrq6Gr1OVGcTFxfn9RABIGIRzABR5MCBA7Z48WJ3w9W6dWsXxGgXdG62LkwNERYuXGgPPvgg6Xc4bwdApWsqDe3o0aNuhUYrNZosUGc06msAoHERzAARTm/xvXv3upWYffv2Wbt27WzKlCmu7kMzyKidZ555xu05cv3113s9FPjEsWPH3GqNgpv8/Hw3gRCor6GtNwA0DoIZIELprb1z504XxGiH844dO9rUqVOtX79+zA7X0fHjx+3pp5+2r3/969a/f3+vhwOfqaysdBMJWq1RfY3S0rp16+aCGk0q0C0QAOqPYAaIMHpLb9u2zaWTKc2lc+fOLojp3bs3QUw9zZ8/39asWWMPPPAAdUVoEDUK0PtTgc2ePXvc6qgCZAU2vXr1IuUTAOqIYAaIoNlfdSXTSoxWErp37+6CGP1JEFN/OkU+8cQT7nm86qqrvB4OIohSz5SCplQ0paSpLfrgwYNdfY1WUnnfAsCFEcwAPldRUeFuiBTEZGVluRUY1cR07drV66FFBKXoPf/883brrbdajx49vB4OIpRWURXUaHNONRFQfZaCGjXoSE1N9Xp4ABC2CGYAnyovL7eNGzfa0qVLXdtgpaooiElPT/d6aBHlww8/dHUO999/Pw0TEJIVVqWfKQ3tiy++cO9zrQoqsBkwYACd9ADgDAQzgM+oeFg7jy9fvtylqajtq4KY9u3bez20iLyxfPTRR93s+Jw5c7weDqJMSUmJC2gU2Kgjoeq1FNCovqZnz54E1wBgZlSyAj66sVER+ooVK+zUqVPuhkb7xCgdBcGhDlSFhYWujgEINa3CDB8+3B1afQ3U1+jPZs2aVdfXdOjQweuhAoBnWJkBwpwCl9WrV9vKlStdJyTd2CiIadWqlddDi3jvvPOO22j0+9//PsXYCAu6ZB85csSt1iioKSoqcntHBfavad68uddDBICQIpgBwpRWBBTAaDVGRf4jR460iRMnUgwcIqpVePjhh23cuHF20UUXeT0c4Ct0Xti9e7cLbNTuWWmRalKh1RrV0CUmJno9RAAIOtLMgDCjOhjVw6guRsaMGWMTJkxwaSUIHW04qtQ+1csA4Uh70vTt29cdxcXFrlGFApu33nrLEhIS3IacWq1RAwHqawBEKlZmgDChnPhly5bZ+vXrXaHv2LFjbfz48W7vCYTe66+/7lpdf/e73/V6KECd5OTkuKBGx8mTJ13qmYJyrdgoJQ0AIgnBDOAx3TCrvbIKe1XwqwBGgUxycrLXQ4taWpF56KGHbMaMGS61D/AjXd4PHz7sghrtX6P6OzUL0GqNghtWewFEAoIZwCPHjx93QYyKeLX6opvm0aNHk+ceBrR/j4r/tbdMixYtvB4O0Cj1NUqdVGCzY8cOV1/Tq1cvF9iovkZpaQDgRwQzgAc7fS9ZssTltyv9Y9KkSa64n5uJ8PH73//eNQC4/fbbvR4K0Oi0QrNlyxYX2Bw8eNBNoKi+Rmlo3bp1o3MfAF8hmAFCROkeCmK2b99uLVu2dO2VdfOg+hiEj4KCArdR5mWXXeZWyoBIT3MN1NdkZ2e7bomB+hr2sALgBwQzQJBpn5LFixe7FqqtW7e2KVOmuM3u1IkI4Ud7+nz88cf2wAMP0HwBUUO3AlqlUVCjVRt1R0tPT3dpaDpfNW3a1OshAsBZEcwAQaC31d69e10Qs3//ftdBSEGMUjlokRrenn/+eRfE3HzzzV4PBfCEUixVV6PARnU20rt3bxfY9OvXj9VkAGGFYAZoRHo76eKvdLJDhw5Zx44dberUqe4GgDz08Kc0m8cff9yuu+469pcBzKyoqMh1QlNgo1RZdVwcNGiQC2y6du3KeQ2A5whmgEagt5F24NZKjAr8u3Tp4oIYdQviYu8fCkJ1PPjgg3SVA85w4sSJ6voa7Yul2j8FNTqUQgsAXiCYARpA7U2VX64bYLVa7tGjh0sn047bBDH+86tf/cqlBH7ta1/zeihA2NJtg9JnFdSoK6P2ZercuXN1fU1KSorXQwQQRQhmgHru2aALufaJUTcg5ZNrJUYrMvCnzMxMe+aZZ1ytTN++fb0eDuALZWVlrkOjzoe7du1ykzh6/yiw6dOnD/U1AIKOYAaoY2Hshg0bbNmyZS7NQpvNaSVGXX/gb/PmzbN169a5LmZ0mgPq19Y8UF9z5MgRS05Odis1Cmy0csNqNYBgIJgBajn7qBvd5cuXW35+vrtAK4hRShL8T6fBX/7yl67G6corr/R6OIDvKe1206ZN9tlnn1leXp6lpaVV19e0atXK6+EBiCAEM8B5KBd8zZo1tmLFCrdrtjaSmzRpEpvJRRjtr/HCCy/Ybbfd5uqdADReXaHqaxTYfPHFF1ZaWuq6oCmoUVc0rd4AQEMQzABnocBl1apV7tDFd8SIES6IYUYxMv3lL39x3ejuv/9+UmGAING5VPU1Cmz27Nnj9txS23oFNqo7JL0TQH0QzAA1FBYW2sqVK90u8JpRHDlypAtiWrRo4fXQECT6PT/yyCNu1W327NleDweICkrXVQqa6mvUfEMb1Qbqa1SDyKQCgNoimAH+emFVPYzqYmTMmDE2YcIEa9asmddDQ5CpA9Mrr7xid999t9vkFEBoKZgJ1NeoiYDSeAP1NampqV4PD0CYI5hBVFNHMrVXVocytRAdN26cOzRLiOjw9ttv26FDh+y+++5jNhjweJV07969brVG9TVqvKIaNgU1AwcOtKSkJK+HCCAMEcwgKmlvGAUxmg3UBXL8+PE2duxYilGjjG6WHn74YZs4caJNmzbN6+EAqNF8RXVsOkcrwNFkk1rhK7BR10HV2wCAEMwg6tqFKohROoNWX3QTO3r0aEtMTPR6aPCAdi9//fXX7fvf/761bt3a6+EAOAu1dtY5W4GNzuFNmzZ19TWqc+vQoQMrqkCUI5hBVDh69KgtWbLE3byqmF9F/epQlpCQ4PXQ4KE//vGP7kbpO9/5jtdDAXABul3RuVxBjTbnVMOWtm3buqBmyJAhNGoBohTBDCLa4cOHbfHixbZjxw5r2bKlTZ482YYPH04LUFhxcbFLMbv44otdswcA/qqv2b17t6uvUTpaeXm59ejRwwU2AwYMYLUdiCIEM4hI2qRNQYz2MlD60JQpU9zMHXnWCFDTh3fffdd+8pOfWPPmzb0eDoAGTEyoYYACm3379rkVdwU0qq9RgMN5H4hsBDOIGHopK3hROpmCmXbt2tnUqVPdRY2LGc70u9/9zr1mbr31Vq+HAqCR5OTkVNfXnDx50k1UBOpr2rdv7/XwAAQBwQx8Ty/hnTt3upUYpZVpwzWtxGhnaQpDca59hX7xi1/YFVdc4TZGBRB514WMjAwX1GzZssWKiopcMKPVGq3SsxoLRA6CGfiWXrpKLdBKjIpCu3Tp4lZi1LaTIAbns3LlSvv000/twQcftJSUFK+HAyCIKioq3Oa4SkPbvn27q7fp2bOnW61Ru2cawQD+RjAD39GFSJ1s1GJZbTqVE60gplu3bgQxqJXf/OY31qxZM7vpppu8HgqAEDp16pTraqnA5sCBA65RgDbk1IqNNujkGgL4D8EMfDW7pguQghhtetmnTx+XTqYVGaC29Np54okn7Prrr7dBgwZ5PRwAHsnOznbXFKWi6e9q7awUNK3YqOUzAH8gmEHYU8tNdZ5atmyZ5ebmurQArcR07NjR66HBh1RbpdeSUsxILwGg26BDhw65wEar/uqOputLoL5Gm3QCCF8EMwhbpaWltm7dOlu+fLnbHE2z6FqJUZcyoD50unv66addk4hrr73W6+EACMPJMzWUUWCj/cl0zujdu7cLbNRUhgkQIPzEez0A4EwlJSW2Zs0aW7Fihctv1pK/NrvUfjFAQ2RmZtqJEyds9uzZXg8FQBiKj4937fx1qAOaOqEpsHnjjTcsKSnJ1dfomtS1a1fqa4AwwcoMwoYCl1WrVrmjrKzMhg8f7oKYli1bej00RAh1MNu4caPbKDMuLs7r4QDwCe1Zo6BGh/aySU1Ndas1CmyYaAO8RTADzymFTKswWo1Rp7JRo0bZxIkTXTEm0Fh0qnvsscesb9++dvnll3s9HAA+PY+oC5qCGq3aKJOgU6dOLrDR5pxNmjTxeohA1CGYgacbF6oQW3UxsbGxNnr0aJswYYJrmQs0tv3799tLL71kd9xxh0sRAYCG1tdo3xoFNtrHRtRlU4GNJk2UsgYg+AhmEHJaolcQow5lOtmPGzfOHcxoIZjef/99d8Pxox/9iFx3AI2eYaBOaApsMjIyLDk52TWtURpa586dOecAQUQwg5Du77FkyRJ3slchpVZhxowZ4076QLD3KHrkkUds5MiRNnPmTK+HAyCCaTPnQH1NXl6etWrVyq3W6EhLS/N6eEDEIZhBSE7sCmI0a6XVF9XDKKVMOy8DoaBWq6+++qp997vftQ4dOng9HABRQLdXSm/Vppxbt2512w1ok2cFNVq1SUlJ8XqIQEQgmEHQHD161G1Q+MUXX7hi/kmTJtmIESPo04+Qe/PNN93r8Z577iHdA0DIqUPntm3b3GrN7t27XZ2o6moU2KjOhu6KQP0RzKDRaSdlrcRowzEtr6u9svKGOVnDq5uIhx56yL0Op06d6vVwAES5goIC++yzz1xgo0kWrdCoE5oCG3VGY8IFqBuCGTQaLadrJWbPnj3Wpk0bmzJlijtBawYK8IrSG7Xh3Q9/+EMXXANAuDh27JhLQ1Nwow6f2rMmUF/DHmtA7RDMoEH08lHwoiBGvffbt2/vghjtnkwQg3Dw2muvuZnQu+66y+uhAMBZaY+1ffv2ucBGqdlaUe7WrZsLagYOHEijHOA8CGZQL3rZKI1M6WSHDx+29PR0l8KjHGCWyBEuTp06ZQ8//LDNnj3btf8GgHCnRgEKaJSGpslCbWHQr18/F9j06tWLlG3gDAQzqBO9XHSS1UpMZmam68yiIEYnWIIYhBttyPrBBx/YT37yEzZjBeA7au0cqK9RSpo6gg4ZMsQFNh07duS6CxDMoC5L4Ko90ErMiRMnrGfPni6dTMvgnEwRrl5++WWX7vitb33L66EAQL3pVk0TiIH6Gm3S2bZtWxfUKLhJTU31eoiAZwhmcMHNBnXyXLp0qWVnZ7sWkgpitCIDhPuM5i9+8Qu76qqrXEtwAIiUyUWln+narHbP5eXl1qNHDxfYqF5Vm1ID0YRgBmelk+OGDRts2bJllpub606QCmK0rA34wYoVK2zevHn24IMPUjwLICKVlJS41G8FNmogoPoaXa8V2CiDgkY8iAYEM/hK4aHqDJYvX+6WsdVaWftztGvXzuuhAXXy7LPPutamN954o9dDAYCg08Sjamt0KB1cdYK6hmuftw4dOng9PCBoCGZQPbuzevVqW7lypRUXF7tZHQUx6nkP+M3JkyftySeftBtuuMG1NQWAaKHbuiNHjrjVGtW6FhUVuQlJBTWqr2nevLnXQwQaFcFMlFPr2lWrVrlDfe2HDx/ughg264KfLVy40KWZKcUsISHB6+EAgGd1r7t373arNaqvUb2N0s80Ydm/f39LTEz0eohAgxHMRCmlkOlmb82aNe7kNmrUKJs4caK1aNHC66EBDaJT2lNPPWWdO3e2a665xuvhAEBYUNbF1q1b3YqNNrnWRI9WrhXYdO/enfoa+Fa81wNA6Ds8qR5GdTE6cY0ZM8bGjx/PHhyIGEqvUJrZpZde6vVQACBsqBHKyJEj3aHupIH6GgU3Sj1TCppS0aiRhd+wMhMlcnJyXGcydSjTbIx2Q9eRkpLi9dCARvXJJ5+4C7Q2ymSmEQDOTbeAhw8fdgHNli1bXOq5mgUE9q9hohN+QDAT4TRDrT1idHOnWRmtwmg1hla1iERKmXzsscdcLvhll13m9XAAwFf1NTt37nT3Czt27HDn0169ernVmn79+lF/iLBFmlmEOnbsmAti1MmkadOmNnPmTFcXQ7EfIpnywPPz892MIgCg9uLi4txEkA6t0GilRoHNG2+84e4dVF+jwKZbt24WExPj9XCBaqzMRGC9wJIlS9wmWirmnzRpksuP1UZaQKR777333M7YP/zhD7nYAkAjyMrKqq6tUcp6ampqdX1NmzZtvB4eQDATKQ4dOmSLFy92S8StWrVy7ZV1otFMCxAtKRIPP/ywjR492i6++GKvhwMAEUW3iwcPHnRBjbqiqTtaenq6q6/R5pzKAgG8QDDjc/v27XMrMZqN1gzJlClT3EmFwmdEm+3bt9trr71m99xzD914ACCIysvLXV2NVmw0iSq9e/d2k6h9+/YlGwQhRTBTS3qayg9lWsmm7VayeYdVnMg2Ky2zmKREi0tva0lD+1nSsH4W3y4tJGNR8KKVGNUItG/f3qZOnWoDBgwgtQZRS3ndqhVTMAMACN2+dYH6GnVGS0pKskGDBrnApkuXLtyXIOgIZi6g4mSO5b36geU+/6ZVHD725Qfj/5q6pWcu5q9/VlS4DyUO6GGpd11vza6babHNmjTqWPSr0kyIgpiMjAy3vKsgRrMgnCwQzUpLS+2hhx6yadOmuRRLAEDonThxonr/mtzcXGvZsqVLQ1Ngk5YW/MleRCeCmXOoLDxlWf/znAtirLLSrLKWT5OCiqoqi2mSbK0evN1a3vN1i2ngcqvaI6qgX+lkmZmZ1rVrVxfE9OzZkyAGMLPPPvvM3nzzTfvRj37kLp4AAO/o1nL//v0uqNGqjSacOnfuXF1fwx53aEwEM2dxavlGO/b9/7JyrcQokGmAxGH9rP3T/8cS+3avVxCj1soKYjTboeBFQYzaIgL4m1dffdUVo955551eDwUAUENZWZmraVRgs2vXLjcJq4wSBTZ9+vShvgYNRjBzhrzfvmvHH3zITAX0FQ0LZJy4OIuJj7MOv/sfa3LR2Fp3ZVK3EO0Tk52d7d70KuzXrAaA0xUVFdkjjzxic+bMsbFja/ceAwCEXkFBgZukVWCjrSS0QhOor+nUqRPZJqgXgpkacl98y078/aON/41jY8xiYq3jqz+3JjPGnbc7yPr1623ZsmWWl5fnCvoVxHTs2LHxxwREiLVr19pf/vIXe+CBB2gNCgA+oYYtCmqUJqx7HtXUaLVGh7aYAGqLYOavCueutKPf+Lsvi/mDITbGYhISrPO831hivx6n/ZNySdetW2fLly93XUGUT6oiZtrLAhf20ksvWUJCgt1yyy1eDwUAUI+Uem0zocBG+9coLU21wQpqtGqTnJzs9RAR5ghmlNaVk28HJ9xiFVk5tS/0r4+4OEsc3Ms6f/Rr1xRAOf5r1qyxFStWWElJiXvjKohp3bp18MYARBB1y3nsscfsmmuucWkKAAD/0uTutm3bXGCjLSi0Z16/fv3c/ZH2sWEjcJwNVVdqJfgvj1tFdm5wAxmpqLDSzTvs+OOv2JYRXW316tVuBmLEiBE2adIkujABdaTcaxWP9u/f3+uhAAAaKDExsTrVLD8/36WgKbDRhshNmjRxmSv6N21NQX0NAqJ+ZaZ01wG3KhNK5fFx9vbdF9nwieNt4sSJ1rx585A+PhApfv3rX7s86xtuuMHroQAAguTo0aPV9TVqItCmTZvqoCc1NdXr4cFjUb8yk/fi2y79K7DpZSjElVfYnZ0GWNs5c0L2mECkOX78uLvAaaNMAEDk6tChgztmzpzp0s8U2Gjbivnz51v37t1dUDNw4EBLSkryeqjwQFSvzFQWFdu+gVdZVeGpWn/NLwv32xOnDp7137a1nmTxtVn2jImxhL7drOvS39VluABqWLBgga1atcoefPBB9ikAgCijWmNtKK7AZu/evdUpxwpsevXq5eptEB2i+g6geN2WOgUyNbWKibeucafvYFvr7M2qKivbvs/Kj56w+A5t6vX4QDTTHIzSDdS+nEAGAKKPVmGGDx/uDrV2VlCjQ5soq03/kCFDXGCjFR3qayJbVN8FlGza/uXmmJV13xzzosQ0+9/mfRv2+Ju3E8wA9ZCRkeE2lL3iiiu8HgoAwGMtWrRw3WDVTEnpx9p4XBNeK1eudNtcKKhRcKPPCwdlew9b0cLV7j60eN1Wq8g4blVlZRaTEG+xrVta8qiBljSsn6VMGmlJQ/p4PdywRzBTz2D949KT9sGJ5dYiJs4GxzezHzftZoPim9X+G8TFWcmmHdZ09qT6DQCIYrpINWvWzOVKAwAgWoHRRuM6Zs2a5eprFNgsXLjQ5s6daz179nSBjVb11TktlKoqKqzo0xWW+5s37NSita7kwOJizcr/VrNddarEKvMKreDAUSt4c67rsps4rJ+1/M711vTqiyw2mZqgs4nqYKb8wBGzirqvyqjLeZuYBIuPjbHdFadsQVm2LcvJsddbDqt9QBNjVn44s+6DBqKcNljbsmWL20yNnGgAwNloT5o+ffq4Q/v6aUNOpaG9/fbb9sEHH7iARoFNjx49gn4tKd25347d959WsmHblwGMqGS9RiBzmhpNqUo/22HHvv9fFv+/L1i7p/+PpYwbGtSx+lFUBzNVxaV1/pqrktvZbSnp1jI2wf3/4tJsuzNvi5Valf3+1BH7n+a1XA6sqrKq0rI6Pz4Q7bRTtFpzKmUAAIALSU5OtpEjR7ojJyenur5Gh7bHCNTXtG/fvtHrO3N//bqd/Nmv/raXYV0n0f/6dZoAz7jyPkv93tet9b98z6Wk4UtR/UzEJH4ZkNRFjzOK/qcmtnLNALKryi2jsqQODx5jMQl1f3wg2inFrFWrVm7TNAAA6kIblE+dOtWmTJni6i+VhrZhwwZbvny5C2aGDRvmghulMjc0kDn5z49b7nN/bpyB/zUIyn3mT1a2c7+1f/E/STv7q6gOZuLatzaLjflbtFwLvy46ZFcmtbH0uGT3/0tLs10gI51j6/aiimvdso4jBqJbeXm5a8U5btw4utMAAOpN15BOnTq5Y86cObZr1y63UjNv3jz79NNPXXtnrdao3XNCHSefXSDzb081XiBz+je3ovmrLPOuf7MOL/2nxdDRM7qDGXWKKJq7UuFurb/m1eIj9nDRPusYm2QpMbG2p+LL1s5NLNZuT+lU+wcvr3CPD6D2dLHR3gKDBw/2eigAgAiqr+nXr587Tp065eprtGLz5ptvukYB2pBTgY2aztRmIq3grXmW+6s/Bm/AlVVW9Mlyy370t5b293datIvyYKbvaUVWtXFPky72YckJ21lRZAcriq1TbJKNTGhh30/pYj3jm9Tpe1X07VLHEQPRTSlm2jOgbdu2Xg8FABCBUlJSbNSoUe7Iysqqrq3ZuHGja+2sFDSlop3rOlR+LMtOPPjwl93KgrkvfVWVZT/6sjW9dErUt2+OqdJaWJSqyMq1fYOuPnc3iSDRE36qSaK9dedU69qtm1vC1KE8TgBnpxWZhx9+2KZPn+72EgAAIBR0q3zo0CG3WqNumuqOpvbPCmqUKaBNOgOO3vkvVviXxfXqlltncbGW0KebdVn0ksVEcXfPqA5mJPN7P7OCd+aHNqCJjbVmP/mWHZ410rZt2+b6oFdUVLgZ50Bgo02eqAkA/kYXEbXU/PGPf2ypqaleDwcAEKW1mzt37nSrNTt27HCBTu/evV1g0yOxqR2Z9K0vZ61DqOMfH7YmM8ZZtIr6YKZ49Wd2+PJ7Q/ugcXHWbdMbFq8GBH+dcVYtgAIbvTFKS0tdt6ZAYNOlSxcCG0S9V155xb037rjjDq+HAgCAFRUVuZUaTbYdPnzYRq/cY/3W77WYOjSWarC4WGty8Xjr+MrPLVpFfTCjHz/jmh9a8arP6lw/Uy+xsdbi9qut7c9/cs6If+/evS6w2b59uxUWFrrlSxWlKbDR5k7xdK5AlNH74JFHHrHLLrvMRo8e7fVwAAA4zYljxyx7zC0WW1Rc669ZXZbruuRuLs+v7oz7s6a97BspHev24DEx1m3zmxbfoY1Fo6i/K9aKR7vHf2oHJ3/LqoIdzMTGWlyH1m6zo3NRoBLYsfbyyy93OZoKbHSsX7/ekpKS3L8psNGypv4fiHSa+dJ7VR1lAAAINy2yCy23DoGMbCkvsGVlOdYlLtmyK74MZuqlqsqK1221ZpdPtWgU9cGMJHRLt9Y/+76d+PtHg/tAlZXW7ol/sthmtet6Fhsba127dnXHrFmz7NixY9WBzZ///GfXSrBnz54usNHKTc0CNCCSfP75567nf5MmdesYCABAKJRs2l7nr7kmqZ3dnNzBTlSW2fTstfV/8Pg4K9m4jWAm2rW4/Ror3bbX8l54K2iP0eZ/fmxNptYvRUaz0tqZVse0adMsJyenOrB5//337b333nNBT6DORjU3QCTQa/3gwYN27bXXej0UAADOquTzXWYJ8WZltV9haRUb2IyzrGEPXlFpJZt3WLQimKkRLCjY0FJd3otvN+Y3dt+z9X/+0FLv+lqjfVu1cR4/frw7VE+gxgEKbLRz7SeffOKCnkBgo7/TQAB+XpVR+qVeywAAhKPK7Dy3maUnqqqsMivXohXBTA3q0d3m5z+xxH497OS/P2VVZRUNawoQF2uxqc2t3S//0ZpeMtmCRellI0aMcIc6o+3evdsFNitXrrRFixa5wKdmZzSlrwF+2ihTr13twgwAQDj6su7au55aVXVYEYo0BDNn0ApG6revc23ujv3wv614xSaXi1infWjiYt2SX+mU4db31z+zuLTQ7YmhhgAqktahvWv27dtnX3zxhZvdVnCjwKdv377u5lD1NnRGQzhTnZiOGTNmeD0UAADOKSYp8ctsHK8ePyV6G0JxJ3sOCd3TLf2dJ1zL5twX3rTCdxd+uUqjwEa7utbsaK2VDr1+KyotJjnJmt98ma3s1MR2VxVbnxbeFeWrQYCKpnWc2Rltw4YNbqa7Zme05ORkz8YKnGtVRq9LvT4BAAjnZlKn3RuGUnycJfTsYtGKYOYCqzQp44e6o+J/cqx4zeeuW0XJxu1WnnnSqkrLLCYpwRK6drSkYf3ckTxmsOtWNv74cdvwq1+5dspjx44Ni59FKWY6Zs6cacePH68ObN544w2XelazM1qzZs28HjKinPaA0oqiVhkVmAMAEK50D+gmu+vg45IT9vPCfVZRIz3tsaID9ptTh214QnN7tHm/2n2jikpLHl7Lz41ABDO1FNe6pat7qW3tS9u2bW3o0KG2ZMkSV8uSkBDoWBEme+u0a+eOqVOnWm5ubnVg88EHH7juaAp6AnU2aWlpXg8ZUUgriepkNmTIEK+HAgDAhYOZOiqoqrADlafvTZNVVeaODhV1qBOtqqrX40eKmCpNfyIosrKy7KmnnrKLL77YJk6caH5QVFRU3RlNjQTKy8td0BMIbDp06EBnNITEhx9+6Oq9fvzjH9O0AgAQ9g7O+a6VbPzCYkLc1Sy2dap1/+xti1Fr6CgUnT91iGhFY/jw4bZ06VIbNWqUK84Pd9qUUGPWUVpaWt0ZbfXq1bZ48WJLTU2tDmy0rw03mQiGyspK27Jli1uV4TUGAAhn+fn5tmbNGstMT7ax60O8RhAba6l3XBu1gYxE708eIkrj2rRpk61atcr93U/UIGDAgAHuUGe0/fv3u5nyrVu3up9HgU+gM5qaDNAZDY1l7969bv8kUswAAOHq8OHD7n5Ik2+q7RxxzcUWs2SHVeUVhrQZQItvXWnRjLvPINNKxujRo2358uU2ZswYS0lJMT/Sm1QNAnRcdtll7g0cqLPZuHGjqwkKdEbTn3RGQ0O7mLVu3do6duzo9VAAAKimyV1N7CqIUW2n9vJTYyXVR+veJ68o3o7/8H9CM5iYGGt5380Wn97Oohk1MyFQUFBgjz/+uI0bN87Vz0Samp3RMjIyXFpQjx49qjujNW/e3OshwkfKysrs4YcftgkTJtj06dO9Hg4AAK6meN26dbZ27VrLy8uz7t27u/s6ZajUTIfWbfWRmx60U4vWNWzj9QuJi7WE7p2s88IXLTY5/MsYgolgJkTmzp3r6k5+9KMfuY0rI5U6o23fvt0FNtqwUy+vzp07V9fZaLYdOB+lMb7++uv2/e9/n9cLAMBT2rhZm44rY0D3NEp/Hj9+vLVv3/6cX1N+5LgdnHa7VeYV1Lldc62oEVN8nHX64GlLHjHAoh3BTAgjeq3OaBlyzpw5Fg1OnTpV3Rlt165drjOaWlYHAhulENEZDWf605/+5Foy33333V4PBQAQhXRrrPsXpZKphlMZJioZUDOn2k5Il3y20w5f9X2rOlXcuAFNbIxZTKx1+O1/WdPZkxrv+/oYwUwILVy40JYtW2Y/+MEPrEWLFhZtqUOBzmhauSkuLnbPQSCw6datG12r4F4XSjFTOqbSzAAACJWSkhLbsGGDy6TJzs62Tp06uVSy+m7eXLJll2V87cdWmZPfOAFNXJzFxMdZh5f/25pcPK7h3y9CEMyE+EZNqzODBg2yyy+/3KK5eO7AgQOugE6BjXJP1RhB9TU61BktnDYZReiomcQ777xj999/f9QF/AAA7/YF1CqMrkHKIlHwoiBGafINVXEi247/w6NW+O7CL9PDGnDbnTx2iLV78p8toUenBo8rkhDMhJj2nFmwYIGrB2jVqpVFO7381DQg0EDgxIkTLpDp3bu3C2xUWOfXDnCou9/97nduj5nbbrvN66EAACL8/kMpZApilFKmew2lkukIxmRawXsL7eTPfmXl+zKsMibGYmtz+x0X61Z04tq0slYP3GYt7rzWYshi+QqCmRDTRpRanVH74quvvtrr4YQdBTOBwEbtn5V6po4hgc5ozNZHdte/Rx991K1aKi8ZAIBgpL1v3rzZpZKpuL9du3ZuFUaF/cHOCtEt98onX7TSV/9iXQ7nWNWpki//QSlsKiHWHXmgA1pCvCWPH2qpd15nTedMiupNMS+EYMYDmgX4+OOP7b777qNb03ko/axmZzTN2Ct/NVBn06ZNG6+HiEZ+X3zyySf24IMPshoHAGj0ewoFMOvXr3cNijRBqiBGE6ahakakW+4nn3zSunTpYldfdZWV7T1kJZt2WHnGMasqKbWYhASLa9PSkob1s8R+3S2GzchrhWDGA8rHfOKJJ6xr1672ta99zevh+IJOPDt37qzujKaZFQUzgcAmPT2dzmg+9/zzz7suMTfddJPXQwEARADd4mpjS02Wqe1/YmKi6yo7duxYT1L9lVb/3HPP2Te/+U1XH4zGQcjngfj4eJs6daq9//77Nnny5PP2KseXNFM/dOhQdyiQ2bNnjwtstIGV6pDUNrFmZ7T6dB2Bd9Q1RhccgnsAQGM0GtqyZYsLYhRApKWl2SWXXGLDhg2zpCTvNpjUXjWatNPG4mg8BDMeGT58uGvTrHbNX//6170ejq8opzXQ+UypZ4HOaApu1qxZY8nJya5xgAIbNRKgM1r40wlevyf93gAAqI/CwkJbu3atO1SH2bNnT7v55ptdnbLX2Ru6X1GApY62bEXRuAhmPKKVg2nTptnbb7/tZg2UJoW6CzQI0KFZlyNHjlQ3EFCBn1bBFNAosKEzWvimAXz++efud6QUAAAA6uLo0aNuFUYTYwpatAKjehht1B0u9u/fb/n5+TZ48GCvhxJxCGY8pM4ZSpGaP3++y59Ew+gEpqBQx4wZM+zkyZPVgY2CRv17zc5oqampXg8ZZq6bzPHjx23WrFleDwUA4BNa6VCTIAUxChTU7fSiiy6ykSNHhuXEpSbtWrZs2Sh71+B0BDMerypMnz7d/vznP7s3omo90HjUKW7SpEnu0GxIoDOaOsl9+OGHLuip2RnN6yXoaKWZNF14lA4AAMCFNiBXRzJ1JsvNzXWdwa6//nobMGBA2KZvqfGTGhBoDxvuNRofwYzHtMusGgBoI01tFMiLPDjUICCwGZZOhIHOaEuWLHErYwp8AoGN2j/zewhtipneBzRtAACcbx86rcJs2rTJFfgrXUupZH5I09+9e7e791BGDhofwYzHdNOslKg//OEPbidaZqeDTw0CdELRodkSdUZTA4ENGza4pgwKfJSGpsBGaWncZAfPwYMH3cwaJ3gAwNkmvBQIKIjRtgzqBDZx4kQ3MdmsWTPzUwaCNufUgcZHMBMG1GVDqwFaIVC7PlYFQkcNAtQYQIfyb3VzHeiMpm4oCnz0+wl0RqNAvfFP8Mpz1p5LAABIaWmpW4FREKP6144dO9o111zjOoHpuu23n0Vp7mr6hODw1ysiwldnfve739mOHTvcqgBCT7m2qlvSMWfOHMvMzKwObHTTrROoNrkKtIVu0qSJ10P2NaUJKIdYbcoJ4AEAOTk5rhZGNTEKAlQHc9VVV7m6GL9eJ3QPoSwQupgFD8FMmNCKjG6iVTujVQK/vmkjhZ7/Dh06uEPdUbKysqo7o7377rvu3/X7CtTZ0Bmt7pTeV1RURIoZAER5Kpn2i9MqjK6x2tRy1KhRNmbMGNf9y+9UF6pgLBJ+lnBFMBNmqzMvvviim63WUirCh3YPVp6uDm3EFeiM9sknn9hHH33klsADgY362hOM1u4Ery5yaoABAIguWq3QdUBBjPaJ0fXgsssus6FDh0ZMSrcm7FTzo2wPBA/BTBhR3YDqMhYuXBjWLQajnYoONWuko6SkpLozmpoHaGVNgU8gsFE/eQKbryorK3PPmdpm8/wAQPTQVgmqSdWhm33Vpc6cOdM1QIq064Emp7XyxAR1cBHMhBmlND333HOuRkM72CK8aTlcebA6NMukjnSqs9m4caMtX77cBT6BzmhKJaQz2pdUG6Z8aHKIASA6HD582K3CbNmyxV0LVS+p1sraGiFS6V5OtbbqwobgIZgJM4GNHLU6oxs9bn79Qw0CNMOkQ53RDh06VN1AYN26dS7wCXRG05+Rsoxe3xO8OvhpFQsAELmNXnQNXLlypbsmqm5EqzAjRoxw3UIjmbYdUC2QurAhuAhmwtD06dPtmWeecbP7SmWC/yhFUGmDOmbPnu06owUaCChHWEFqzc5o0TRrc+rUKZeaN2vWLK+HAgAIAqWPqSPZmjVrLC8vz+3Z9vWvf901OIqWFHpd6zXJqQlMBBfBTBhSQbRWZRYvXuxSzfzWUx3n7oymQDU7O7s6sHnvvffs/fffd0FPoM4m0jueaLWKHGIAiDzHjh1zqWSbN29253l1q1Qqma5/0UbBjII3ZWUguGKq9GpD2NEmUU899ZSb1R8/frzXw0GQFBYWVndGU6tiLcnrpB8IbLRbcKQVRP72t791f956661eDwUA0EC6jdRqu1LJVDeqWlG1VVZmSTRlHdR0/Phxe/rpp91qFCszwceUf5hSQZxWZZYuXWojR46M6vqKSKYTvX6/OtQZbdeuXS6wUfMA1U21atXqtM5ofl+eVxcbXey0CRoAwL90zVI6vDa51F5sqoO87rrrbODAgVFf76u6UK3IqEMtgo9gJoxNmzbNLdXqRDF58mSvh4Mg04lPqVc61Blt3759LiVLr4EVK1a4wKdmZzQ/ph8G6oXUehwA4D8KXHRfsmHDBnetUvBy7bXXugk3fLlSpWudrnN+vE77Ec9yGFPthGbstX/J6NGjI77zB/5GJ0DN6Oi44oorTuuMpqJKrdTV7Izml5xcneA1Xl7LAOCvG3StqqseRq31U1JSbOzYsS6drEWLFl4PL6xkZGS42lhduxEaBDNhburUqW4ZV7moKh5H9FHNTJcuXdyhDmDKxQ0ENm+88YZb6dBKjQIbrdwoXzlc68B0kp84caLXQwEA1HKDY6VMKYhRcb/qOK+88kpX2J+QkOD18MKSni9dh9XBDaFBMBPmmjdv7lZllGakWZAmTZp4PSR4HNjoYqJDaYg5OTnVndE++OCD6s5oCmq0xK2am3BaldGKkrq7AADCl9opq62y9khTO31dUy655BJ3gx5pTWkak/aY07VOHWn9XuPqJwQzPqB6GZ1QVBSuzaaAmqmI6nanQ53RtPyvwGb+/Pn26aefujbfgQYC+rtXFyGlKGi2SgEWs3kAEH50nlZKs1Zhtm7d6s7V2txSE6lscFw7qnXVtVgrVwgdghkfUOG3bla1OqM/wzWNCN6/TnTh0VFaWlrdGU0piosWLXKBTyCwUcpaKGeNjh496tLMNLMHAAgf2hJgy5YtLohRKrAClzlz5tjw4cN9U48ZLjRpp4yI9PR0r4cSVQhmfGLChAmue8iSJUvs0ksv9Xo4CHNK51KHGR26UAU6o2n5W8GN0hUDndF69uwZ9I4rOsHrMfVYAADvaQVh7dq17igoKHDn55tvvtk1aSGVrO7U2U3XWW0SyvMXWgQzPqHOISqcXrx4sfszNTXV6yHBJ9QgoFevXu64/PLL7fDhw9UNBNRaU4GPuqYFOqM1dqexQJtKtZwmhxgAvKWVcq3CaJJJN91Dhw51N+CqxUT9aeNQ7b2jehmEFsGMj+hkoxOQAhp1EwHqShcu7QWgQ/VXJ06cqA5s3nzzTRdsaHYusGrTGCmN+/fvd5tlkkMMAN4Vpm/fvt3dQ+icrHbK6pA6atQoN1mKhtOkXYcOHaxt27ZeDyXqEMz4iHJXJ02aZPPmzXN/UpCHhgY2OunqUAvw3Nzc6s5of/nLX1x3NNXWBDqj1ff1phO86nXYUA0AQqu4uNjtTabOZOp+qXP69ddf787prJQ3Hq3IqAEPW2h4g2DGZ7RBlRoBqKBbO+4CjUWpi1r901FUVFTdGW3hwoU2d+5cl4IQaCCg2afa5ASrXkddcbT5KznEABAaWnVXna32qdN5WKlPN9xwA4XpQaJrpWpmSDHzBsGMz6hV4pQpU+zDDz90LZtZzkQwqFhfnWx0qDPa7t273claF0elOSrwCQQ22tfmXDN8+jrtUUCKGQAEl+oTdc5VKpm6WarDpZoHaa867VmH4FH9Ubdu3ahn9gjBjA9pllt7zmjGXDMtQDCpQYBSEnRohk/51qqz0YqLLpoKfLQRZqAzWs19ZHSC14qO9rgBADQ+TTht2rTJTTZpRUYr51dffbVbJQh2p0p82RVuz549dtlll3k9lKjFq9yHdHLS7u/vvvuu60qiExcQqs5oClh06MStPQkCDQSUzqBAJtAZTTtFq+BUK4kAgMalGhgFMOpKqZoNnXevuOIKt1pOWm/oaI8ePd/aCgHeiKnSuiR82ZnkqaeesjZt2ri+8IDXanZGU5Cjk7tOLyqI1GoiaQ4A0DA6px44cMCtiutcq8ZAOr+qnlaNVhB6L7zwgtvS4Bvf+IbXQ4laBDM+phQetdP99re/TacohJW8vDx75ZVXXIc0pUDoNKPXaKAzWuvWrb0eIgD4horL1RlSQYwyMjSROXbsWBs2bJhLBYY3srOz7fHHH7frrruO2lAPkWbmY9qEcMmSJbZgwQL71re+5fVwgNNSIbVSM2fOHHeCD3RGUxc+tRZX44pAA4GOHTuSEgEAZ1FQUODaKq9bt87VZiiN95ZbbnGbIHPe9J4CTF3vNFEH7xDM+Jg6SF100UX2pz/9yfbt2+dqFIBwoHQzrcYoh1gbsmn2UEdZWVl1Z7S1a9e6YFybtwUCG3WDYe8DANFOqbpahdHNsmoV1VlSKzFakUH40O9H1y5Wx7xFMONzgZltrc7cfvvtzNQgbFIg1SSgWbNmp31cDQICgYvqvtQZLbBRpwpZFfgEOqNp5rFmZzQAiGQ6J2oiSEHMwYMHXQ3MxRdf7GpiVJOB8JKZmWnHjh2zGTNmeD2UqEcw43MKXrQ68+qrr7oZby1BA15SnYyCFLUGPR+twPTo0cMdl1xyiR05csRdyNUBTW1GFcgooFFgowBHgQ4ARBrtxaU0MqWTqd5QK9Q33nijS11ipTq8V2UUZHLf5T2CmQigN1KXLl1s/vz55NEiLNpUKi1Chf61pdesdqbWoZnIkydPVndGe/vtt90FXWmUurgruFFqGgD4mWb1tQqzefNml5ar+sJx48ax3YIP6PelYEap1LrewVsEMxFAN4Ja5nz55ZfdrLZu9gCv6ASvoEMtQ+tL3c4mT57sjvz8/OpUtI8//tg+/PBD69SpU3VnNHLIAfjpJnjnzp0uiNFGi0rF1V5co0aNsqZNm3o9PNTSoUOH3D4/dDALDwQzEUKz1krXUe2MbvJYnYEX1MFM6WKNuVGm9qfRHgo6lI6hGwEFNmoeoNVIBTOBwEYrO7z2AYQbbWqpjYVVG5iVleUmZNTOl5l9/9aF6tqkDUrhPYKZCKLaGW3epJlxZgvg1QleKzJ9+vQJyvdX3czQoUPdoc5omtlUYLN+/XpbtmyZu7jU7IzGTQIAr/ch0SqMAhntuaXg5dprr2VvOJ83alA6tTp0UtMUHghmIojqZnQTuXDhQrcHDW8yeJFDrBUS9d0PNjUI0IqMDl1ctCt2IB1NhbQqzKzZGY3WmQBCdS7UdgkKYpT6rUmYwOoy9X7+p0m0oqIiGzx4sNdDwV8RzETg6syzzz7rukGNGDHC6+Egiii9TOkTl19+ecgfO9AgQIc26tQO2YHOaCquVXBVszNakyZNQj5GAJFNq8VanVYQo+L+du3a2ZVXXukyJWgzHzk0aae6Tm2LgfBAMBNh9ObSMrZ2WlcqDmk2CBVdxFXA6vXmraqZ0ftAhxpjqDNaYMXmnXfecf+uFLRAOlpqaqqn4wXgb2qnrNVgtVdWXZ9Wi9VuXudCavgiL2DVRNmECRP43YYRgpkINH36dHv66addHYGWtYFgU5qXZqvCMb1RM2iTJk1yhzqjabVGgc0nn3xiH330kQt6FNQEOqNxgQJQ245WWoXZunWrW/1VNsTYsWMtLS3N66EhSNSARrVP1CWHF4KZCNS2bVu3KrN48WIbPnw4y9sIOm2SWVBQEPYneDUIGD16tDuKi4urO6MtXbrUdQJU4BNYsVG3IQIbADVVVFS44EVBzOHDh13gMnv2bHetbUg7evgnA0ETYLpWIHwQzESoadOmuTfd2rVr3XIoEEx6rbVq1coFAH6hBgEKvnSUl5dXd0bbsGFDdWe0wCadShchZROIXoWFhS6NTOlkmrjp2bOn3Xzzza7pDpMe0SEwAaaNnRFeCGYilGaLtOStGWdtxkUnJwSLAgHlECul0a8XdaWIqDGADqXMHTx4sLrORhMCmnENdEbr3bs37ycgSqiZiFZhNGGj85uyHsaNG+eK+xFddJ3TypzSqRFeCGYi2NSpU11XM52IG3MTQ6CmXbt2uRmrcE8xqy3V/KhBgA6lj2RmZlYHNrqhUeCjWVkFNlq5oTMaEFk0obFjxw537VSLZbVTVi3qyJEjeb9HMdWFapWe9trhh2AmgqlLk1Zlli9f7mbNlVYDBOME3759e1erFWk0E9uhQwd36GZGracDgc27777r/l07QAfqbFq2bOn1kAHUkyZllGa6evVqy8nJcXu3XX/99e69TZppdFNq4d69ez3ZegAXRjAT4bQio65mCmjUphZoTCUlJa47mG70oyV9c+LEie7QxS3QGW3u3Ln28ccfu8JQrdaoM5qCO7+m3QHRRO3btQqzceNGl0akzRBvuOEGS09P93poCBNbtmxx53NtfYHwQzAT4Zo1a+ZaRepErTxf7QMCNBbdzKtmJhp3QtZ7SyufOhTUBTqjaeJg4cKFLvAJBDadO3cmsAHCSFVVlWv6oWuj3ru6NqpZjjodqvkHUJNSjNXsISUlxeuh4CwIZqKA9tdQEbM6NKkGAGjME7zSrKJ940k1CFBAp0PBndIRFNhs3rzZVqxY4QKfQGe0Hj16kLICeER7hOh9qSDmxIkTLoX06quvdu9d1cMBZ1J6sdpwf+1rX/N6KDgH3rlRQAWL48ePdzPGmnli1gmN1ap09+7ddumll3o9lLCiGyLN4OlQfrU21gvU2ai1qwIf/VugMxp7UwDBpxoYtVVW2rVWUvX+u+KKK9xkDKumuFBdqPbr04QUwhPBTJRQEKOixiVLlthll13m9XAQAbRxnG4CaFN5/s5oulnSMWvWLDt27Jhr76n0vD//+c9uhaZmZzTSQIHGTSU7cOCAW4XRZIImDrRlgVKvadaB2r6GlIGgczQbkIcvgpkooU5mSjfTLucqXuZEjsaYrdKNOK1Ka0eBn7q+6VDDhOzsbHeDpcDm/fffd4e6JwU6o2kTUgB1p1RPnZ8UxGifmDZt2rgV5GHDhrFHFOpErfmVjkiKfniLqVLYiajJFX788cfd5n9XXXWV18OBz1M2fvnLX9q1117rNpFDw1P2Ap3RVJSsjkoKehTUqIGANugjFQY4P3UYVCqZ0jn1nlIapxrf9OrVi/cP6uXTTz917bofeOABah3DGCszUUQzUpMnT7ZPPvnErdK0bt3a6yHBpzTrqdoQcogbh9LLtCGfDuXzayNSBTYrV660RYsWuVWamp3RlL4G4EsZGRluFUbnJd1wagVGQYxWZID60ly/XlNqx0wgE94IZqKM2k6qEYBukK677jqvhwOf0gleN9cUrzc+PaeqQ9KhFZpAZzQ95wpuFPjU7IxGByZEo8rKSld/piDm4MGDLnX64osvdhMCbBCNxqDXVV5eng0ZMsTroeACuApGGd34TJ061T744AO3SqP0FaAuVMSuPOJo2SjTS5oNVKqMjjM7o6krk1ZbA53R9CfBJSLdqVOnXBqZ0sl0o9mtWze78cYbXYDPiiUakwr/W7Ro4Rq4ILwRzEQhdXPRnjPa2E8XAaAutEKgmU/dYCN0lPOvBgE6Zs6cacePH68ObN544w0X+GilJtAZTXvbAJFCr3etwmzatMml/2i2XKlk2icGaGxaFd+yZYu7X6LeKvwRzEQh3fRMmzbN3nnnHZdrnJ6e7vWQ4LMcYtVukN7kHV1ctaqqQyutasgQCGy06lqzM5p+V3RGg1/PNzt37nRBjBpjKEBXRoHSpWljjmDS602rgKSY+QPdzKI43/jpp592Nzm33HKL18OBTyjN6fnnn7dbb73VrQIg/BQVFVV3RtOmppphVNATCGzUJY2ZRoQzNcHYuHGj2xtNu69rwk2rMKojoxAbofDWW2+5yd57772X86UPMLUapZRbfNFFF7mN+7SpGDmhqG0OsWZHlaeO8KR9f5QaoUPt2AOd0TS7vXjxYlcoHeiMptUb6gwQLrT3kl6nCmT02lUXqWuuucZ18OOGEqFSVlbmmktoFZDXnT8QzEQxXSg0S6uNNG+77TavhwMfrOYph1jL7twA+4MaBOh9rkMrNPv27XOBjX6PumlU4KN9pxTYaANUUgcRakoO0etSr0etKKakpNiYMWPcoeJrINT0OlRAM3jwYK+HglriyhXFNOOg1ZnXXnvNtX8lbQjno9eINqIjh9iflJ6jzQN1XHbZZXb48OHqOhvNhCvwUVOHQGc02tsimHSzqJVepZKpO2Lbtm3tiiuucJvwJiQkeD08RDHVhXbq1MnS0tK8HgpqiWAmymlWVm/a+fPn25133smSKs57gtfJvWPHjl4PBQ2k97lSd3Rob44TJ05UBzZvvvmmW3mr2RmtefPmXg8ZEULtlNVWWe2VVWCta9Ds2bPd643rD7ym16SaTsyaNcvroaAOCGaiXGB15ve//717A+vCApypvLzc5RCrCJcbjsii36dmxXVMmTLFcnNzXVCjVIu//OUvrjuagp5AAwFmK1Hf5iFKJdu6datLZ1RN19ixY3k9IazoOqfURzWbgH8QzMDlyqugW7UzSi/hZhVnUqCrDkOkmEW+1NRUF7TqUGe0HTt2uMBG+1LNnTvXBT2BwEZ7fHC+wLmoTkvBi4IYpTWqe6ZmvBXIsMErwpFSH7VKyGq0vxDMoHp15qWXXnKzEioWBs48wSu9rE2bNl4PBSGkBgHDhw93h7pLqdWzVm2UJrRkyRIX+AQ6o6kjIo0hIKqtUxrZ2rVrLT8/390c3nTTTW6yjNcIwjkFUs0orrrqKq+HgjoimIGjlRkVBmt1RrOuXHAQoBUZzc7PmDHD66HAQ2oQoKBFh2bc9+/f7wIbTYCoiFtdqBTY6Pyh1V6KuKOPCvlXrlzpJj80SaZifq3waZ8jINypy6MapegcB38hmEE1rc785je/cYXeuggBoptV3bzSphIBuuArYNFx6aWXus3lanZGUyAT6IymOjw6o0V2y3ZNdiiVTLPaaqc8ffp0GzlypFvZA/xC9z50cvQnghlUU1czzawqN56dllHzBK+VO/Z8wNloBl7nDh1ndkbTLtpa5e3evbsLbHSQix4ZiouLbcOGDW5VLicnx23Aev3117vfMdcO+M3JkyfdpMykSZO8HgrqIaZKbRuAGmkCzzzzjF155ZVuZg3RraCgwB599FG7/PLLbdSoUV4PBz7MQQ90RtOsvWbxFfQEGgi0bt3a6yGiHjd9WoXZtGmT63KoiS+lkun3CviVJnFXrFhhDz74ICmyPsTKDE7Tvn17d3FatGiRSzVjR/Dopk5Emnknhxj1odU8td/Vof0blI6k4Ebnl3nz5rmGEoHARg0m6IwWnjTnuWfPHhfEqLOh0sfGjx9vo0ePZqUNEfH6VgaCzkMEMv7EnSq+QvnOTz/9tOtGoxk3RC8V8qr2gdx3NJQaBAwbNswd2v090BlN55mlS5e6wCfQGU1pjTQh8Z5+T1qBURCj9EG14r766qtd/RwTXYgUR48edSuOl1xyiddDQT1xNsJXaLZUNxxqvapUM2YqolN2drbb6O66667zeiiIMDqnBGpolHoW6IwWaPuswEeNA/Tv6rLIOSi0tHGqamHWr1/vuhkqyLziiitc+21WzxCJk3aasFNDE/gTwQzOaurUqbZ582Z3QaMgLjpp2V03kbqRAYJFKzDah0SHZkaPHDlSHdhoVUArADU7oynQQXBSbQ4ePOhWYdTBUK24NZmlFMGWLVt6PTwgqClmSq9nNdi/CGZwVtqpWbs0L1u2zOVFs1tz9NEJXjeQuqkBQkGz/unp6e7QvkZK/QgENm+//bb795qd0fzUYa+4otIyi8ot81SFFZdXWqUuwDEx1jIp1jo0ibe0pDiL9WDVQ0X82l9DQYwCSTVlULttrc7z3kek06qwNnYdMmSI10NBAxDM4LyrM9ozQpugTZs2zevhIMRd7Y4dO+Za7QJe0Y21VoZ16IYj0Bnt448/tg8//NAFPYHApm3bthZuFLR8nlViG04U28mSCvcxhSsuZNF/qswFNRIfY9YnNdFGtk2xzk3jg57OpU6Fa9eudUdhYaFb/brllltcWh+pZIimFDOtPHbu3NnroaABCGZwTpr1HDNmjGtXqFQD0jui6wSv37dubIBwoK5ZOh/p0B4n6oymwEa1ffPnz3eBT6AzmoIcL2/ISyuqbMmRQlt/otgqztj8QP/rPnTGx8urzLbnlNoXOaXWOjnOZnVqat1bNP7KiPbS0CqMVmOUVqMVGDV6Ua0kEE20GbQ6dir7hADe3whmcF6TJ0923YaWL1/OLH2U5RAPHDiQze8QlrRDt1rH61DHLbUN1qqNCtaVGqvAp2ZntFC+jvfnl9r7+wusoKzyzHjlggKrNFnFFfba7jwb3jrJLurU1JLiGpbLryYLen4UxBw4cMBSU1NdGp9SiZmkQrTatWuXmxhRdz74G8EMzqtp06Zu1k4XQe0roP9HZFMHM3UzIocYfhBoUqFDN+26WQ/U2SiFSoFPzc5owawDWZVZZAsyigIZZPUW+NpNJ0tsb36ZfaNPqqUm1j0g094+CvDUIU7vaQV2N954o3uuKHZGtNOkXbt27dz+evA3ghlc0MSJE93FUOkc9GGPjhQzpRiqDSvgJ7pBV4MAHXPmzHH7RwQCG3VnVGc0BTSBzmiNuX/SiqNFtuhIkft7QwKZmvR98kor7Xc7cu1bfWsf0Bw/ftxNQOlnVoCniQmlCmtjUgBmpaWlLk11ypQpXg8FjYBgBhekNIQJEya4YEaBjZ86CKHuOcTKpVcePTnE8DO9fnXzruOiiy6yrKys6sDmnXfecf+ulYpAAwGlXtXX51nF1YFMY1NAU1hWaX/YmWt39m9liXEx50wPVdqMghhtSNqsWTPXOEH1AKyoA6dTIKMUVVLMIkNMlc6AwAVo47Rf/vKXro5Cm6chMulm6JVXXrG7776bWVxELHXy0s2MAhvV22j1Qq/3mp3RahvM55VW2HNfZFtZoOAlSDSaEW2SbXaXZl85N2s/Hu0JplbWan6g1GDtm0HNG3B2r776qkvD/Pa3v+31UNAIWJlBrWifGc3yqWuQ/tQ+NIjMHGJ1NerQoYPXQwGCRqsWo0aNcocKgHfu3OmCGzUPWLBggaWlpVV3RuvUqdM5AxvNBf7lQIGVBzmQcY9l5rqj9WuZaN2aJ1p2drYLYDZs2OBSZjTRdPXVV7sWs6yqAudWVFTkVi+ViorIQDCDWlPOtfacWbRokV1zzTVeDweNTEvu2vlbqYTcDCFaqEGAakp0aAPJQGc07bGlLo4KfAKd0VSLU3O1Y39+me3LLwvZWPWu/HBPtrX8YoELvpQCrDQytatuSJocEE3UjlkTEZoAQGQgmEGdugapWO6jjz5yLZvZlyCyaN8OzfDSxQzRSg0C1BhAh1LPDh48WF1noxb1WqEOdEbTJpPrThQ3uHNZXehxcirjrKykyqX7qjW1zssA6paB0LNnTzdRgchAMIM6GTlypEvFWLhwoV1//fVeDweNfIJXvr1SbIBop85oahCgY/bs2ZaZmVkd2KjjX1zTFhY/45vqNFDr77n0lWds3buvWc6Rg1ZWUmxNW7W2rkNH24y7HrCOfQfV6nvEWJX1mHa5jepOIxagrtSifP/+/S4lE5GDYAZ1nrmcNm2avffee26Vhv7skSFQNzBz5kyvhwKEHaVdqo5Mx/Tp0129yoKdGbajjt9n7/oVVph9wtI6d7PykhI7vn+XfT73Pdu9Zqn94182WGLKhbuOVVmM7cwrc2kypIMCdaNunUoVVdooIge7ZqHO1LZXDQBUKIvIoFoZtWVWByQA56fzX5MO3Sy2jsHETf/9a/unTz63H7w63+5/Y5lNv/PH7uOncrPt+N5dtf4+JRVVlhfs9mlABNKqqmrglDKKyMHKDOpMsxqanXzrrbfs8OHDrtsP/H+C79GjhzVv3tzroQC+kFFUZnUNJxKSkm3L/A9s0UtPWElhvluZkaat2libbr3q9L2OFpXXehNNAF9uJquNdKdOner1UNDIWJlBvWijKe3FwOqM/+Xn59vevXvZPAyog9yS+q2MFGQdt4Ofr7Nje3dYVWWlterUzb7z7FuW1LT2xchaD8otZWUGqGtdqFZk+vTp4/VQ0MgIZlDv4litzqhXu4rp4F/kEAN1V1HP/abHXX+7/fe6Y/YPH2ywobOvsezD++0P//gdKyksqFMwU17JftdAbanGTMGMrnOq/UVkIZhBvemkoIJYbaSpEwX8SSd4zVRpzwoAtdOQ2nsV7rfs2Lm6ZiZz9zbb9NGbtf56nW1jqf0Hai0jI8OysrLYeiBCEcygQRfkGTNm2IEDB9xGc/AfndxV90SKGVA3yXF1u3wW5mTZ+vf/ZOVlpdUf275sbvXfS08V1SmYSYnn8g3UpS60adOmbuNbRB7W2tAg2jiuc+fObnVGm1DRKtR/J/jExES3ESCA2uvYJN4KcktrvWFmaVGBvf6v99nb//2gpXXubsUFeZZ79LD7N9XLDJpxeZ0ev30Kl2+gNrQBrtKpNWmnFHlEHn6raJTVGS3hagd5+C+HWLuZs4s4UPdgpi6Sm6fa0DnXWvM27S3r0D7LP5FpqR062fDLbrB7X/7YWqV3qdOFu20yncyA2lBdb0FBARkIEYypHTSYWvpq6VadzTTDz+qMP2hH8xMnTticOXO8HgrgO12aJdR6VUZSmqfazf/zbIMfV2fXjk3jLY6iGaDWGQjaG4ptJCIXKzNoFFqd0c2xlnLhnxN8kyZNXDAKoG46NY23Vkmhv4QqgBrRJjnkjwv4UXl5uW3dutWtyjDRGrkIZtAounTp4jpiLVy40OWnwh8pZgMHDnRtmQHUjW6MRrcNfQfApLgY69+S3cuB2ti1a5eVlJTQxSzCEcyg0WjfmZMnT9rmzZu9HgouQB3o8vLyOMEDDTA4LclS4kI72zuuXYrFk2IG1Iom7dq3b+82+UbkIphBo0lPT3d7zyxatMgqKiq8Hg4ukGKWmprqVtQA1E9SXKxd1q1ZSB5L4Uub5Dgb1579oIDa0IrM9u3bmbSLAgQzaPTVmZycHNuwYYPXQ8E5KNAkhxhoHH1Sk2xgq0QXbATbld2aWxzvWaBWtm3b5mpm6GIW+Qhm0KjatWvnZkEWL15sZWVlXg8HZ7F79247deoUs1VAI7mkS3Nr3yQuqAHN5d2aWfs6toMGoj3FrGvXri4LAZGNYAaNbtq0aa6n+7p167weCs5xglf+sAJPAA2XGBdjN/VKDVpAc2nXZjY4jQ5mQG0VFha6iTtWZaIDwQwaXevWrW348OG2dOlSKy0t9Xo4qEG/Dy29a1WGFDOg8STHx9o3erd0TQGkwe+uqirXXOCGni1sWGsCGaAulEqta9ygQYO8HgpCgGAGQVudKS4utlWrVnk9FNSwY8cOl/7HbBUQnBWay7s1dwFIk/j6hTPVX3Vkt32ze5L1Sk1szCECUdPkplevXm4vNUQ+ghkEhXJUR44cacuXL3dBDcLnBN+5c2e3GzKA4FAA8t2BaXZpl2auA1kgSIm5wIVYXZ6HpCXZ17smmX220FYsXhiyMQORQk2IDh48yKRdFKGaEEEzZcoU19VsxYoVdtFFF3k9nKinon9tIDZ79myvhwJExSrNsDbJNrR1kmWeqrBDBWV29FS5ZRSWW0lFpVVWmdsvplVSnHVsEm8dmsRbj+YJLl0tsLr96aef2pgxY9w+GQBqXxcaHx9v/fv393ooCBGCGQRN8+bN3YV45cqVNm7cOJZ7wyCHuKqqihxiIISUt69ARUddjB071jVR+eijj+zWW2+lxg2oQzDTr18/S0wkRTNakGaGoJo8ebL7c9myZV4PJerpBN+jRw9r1iw0m/wBqL+4uDi3irpv3z7XtAPAhR07dswyMzPZeiDKEMwgqLQaM378eFu9erXl5+d7PZyolZeX526KOMED/tGnTx9XxKx0M23+B+DCdaHJycnWu3dvr4eCECKYQdBNmDDB5a+qVTO8sWXLFjfTSw4x4B9KLZszZ44raFa6LoBzUxq1MhAGDBjgrneIHgQzCDrNkkycONHlf+fm5no9nKidrerbt6/7XQDwD21wq9rDJUuWuM2IAZzd4cOHXeBPBkL0IZhBSKgBQFJSki1atMjroUSdEydO2JEjR2hTCfjU9OnT3UzzvHnzvB4KENaTdmo81K1bN6+HghAjmEFIqKuImgFs3LjRsrKyvB5OVNGyuwJJ5d8D8J+UlBTX3l7nz4yMDK+HA4SdyspKl06tbp2xsdzaRht+4wiZ0aNHu05arM54k0OckJDg9XAA1NOoUaOsXbt2rlWz3tcA/mbv3r1WWFhIilmUIphByOhmWhtpbt682Y4fP+71cKKC0stOnjxJihngc5ptVjMA7WyuGWgAf6NJu7S0NOvYsaPXQ4EHCGYQUiNHjrSWLVvawoULvR5K1OQQN23a1O0vA8Dfevbs6TYDVKvmsrIyr4cDhAW9F7QptFZl2Fw2OhHMIKRUxDpt2jR34tGqAYKHHGIg8mgjTXU1W758uddDAcLCzp07rbS0lAyEKMYdDkJu6NCh1rp1a1uwYIHXQ4loBw4ccBuVkkMMRA6l0mgjYu3bRat74MsUM6WXtWnTxuuhwCMEMwg5rRKo1ahmU5T/jeClmCmlr1OnTl4PBUAjmjp1qutQSKtmRLvi4mLbsWMHqzJRjmAGnlDqkzrzsDoTHOXl5S6VTyd4coiByKJAZsaMGW7CggkhRLNt27ZZRUUFwUyUI5iBJ3SDrX0T1E5RBxrX7t273YwVKWZAZBo+fLh16NCBVs2Iagrou3fvbi1atPB6KPAQwQw8o6486enpbnWGi3Hj5xC3b9/erX4BiMx03UsuucRtorlp0yavhwOEnBphaDKUVRkQzMDz1RmlSezatcvr4UQMdXXR0jsneCCydevWzaXsqnampKTE6+EAIaVunbqP0KbQiG4EM/BUr169rGvXrqzONCIFMqqZIZgBIt/MmTNdSqm6mwHRloHQu3dva9KkiddDgccIZuApzaqokFV7zugmHI1zgu/SpYvrZAYgsul9PmHCBFuxYoVlZ2d7PRwgJPRaP3ToEHWhcAhmEBapEtrZWqsz2ugR9VdUVOSK/znBA9Fj8uTJbnb6008/9XooQMgm7RISEqxv375eDwVhgGAGYUG1M8ePH3c5sKg/tWNWut7AgQO9HgqAEElMTHTpZl988YXt27fP6+EAQaVrnLqY9e/f3732AYIZhIXOnTu7GZaFCxeyOtMAOsGrDqlp06ZeDwVACGk1VhvkqlUz51BEsmPHjrnJT+pCEUAwg7BancnKyrKNGzd6PRRfys3NtQMHDnCCB6K0/lCtmjMzM23Dhg1eDwcI6qRdSkqKm7gDhGAGYUMbwKnN6OLFi103LtQ9hzg+Pt4tvQOIzhXuoUOH2vz5812HMyASU8x0rVMqdVxcnNfDQZggmEFYmTZtmuXl5dn69eu9Horv6ASvjUiTkpK8HgoAj1x88cVWVlZmixYt8nooQKPTvnTKQqDJDWoimEFYadu2rZtZXLJkibsgo3aUP3z06FFSzIAo16JFC9fdbPXq1Xby5EmvhwM0eoqZXuPanw4IIJhBWK7OqMXwmjVrvB6Kr07wWpHRBmIAopv2nWnevLl98sknXg8FaDQVFRWuY6cm7VQjBgQQzCDstGrVykaMGGHLli2zkpISr4fjqxxi1cwAiG7af2PWrFm2Y8cO27Vrl9fDARrF3r173UQnGQg4E8EMwtLUqVNdILNq1SqvhxL2MjIy3G7I5BADCNDkhjYk/vjjj92MNhAJGQht2rRxzYKAmghmEJaUEzt69Ghbvny5nTp1yuvhhP0JvlmzZu7GBQBEaThz5syxEydO2Nq1a70eDtAgqqHdtm0bKWY4K4IZhC0VsWrztxUrVng9lLCl52fLli2upXVsLG9nAH/TsWNHl7KrzYiVngP4lVImS0tLyUDAWXH3g7Cl1YaxY8faypUrrbCw0OvhhKV9+/ZZQUEBJ3gAZzVjxgxXV6eABvAr1YWmp6dbWlqa10NBGCKYQVibNGmSW3FYunSp10MJ2xQzndx1kgeAs00KqQZRqWbHjh3zejhAnSnVfOfOnUza4ZwIZhDWUlJSbPz48e5CrM008Tfl5eX2xRdfkEMM4LzGjRvnukSqGYBWaQA/0XVOTSyUTg2cDcEMfLFnglqNaiNN/I1mqtTxjTaVAM4nLi7OZs+ebXv27HG1B4DfUsx69Ojh9k4CzoZgBmFPm0Eq3Wz9+vWWk5Pj9XDC6gSvFpVt27b1eigAwlzfvn2tZ8+ebiNNreoCfpCfn+/2l2HSDudDMANfGDNmjEs5W7RokddDCQtakdEMKznEAOrSqll7UrF/F/xC3Tq1sjhgwACvh4IwRjADX0hMTLQpU6bYpk2b7OTJkxbt1G9fs6vkEAOorXbt2rn9uxYvXuy6IAJ+aHLTp08fN5kJnAvBDHxj1KhRLmeWFqNfnuC1SWZqaqrXQwHgI9OnT3cdIufPn+/1UIDz0sRlRkYGKWa4IIIZ+EZ8fLxrMapakczMTItW2nNHhbyc4AHUVZMmTVxAs2HDBjty5IjXwwHOSdd6ZWWo3gs4H4IZ+Mrw4cNdi9FoXp1RDrHy3wcOHOj1UAD4kFLN2rRpYx999BGtmhGW9LpUBkL//v1dN1PgfAhm4CsqBJw2bZqrGdHyc7TOVvXq1cvNsAJAfc6jagZw4MAB27p1q9fDAb7i6NGjLs2MJjeoDYIZ+I5ObppVXLBggUUbtaY+ePAgJ3gADdK7d2+XvvPpp59aWVmZ18MBTqNVGU3YaX8Z4EIIZuA7Kl696KKLbNeuXW5mMdpWZbTk3q9fP6+HAsDntJGm9vFYsWKF10MBTksxUzq1Uqm1ighcCMEMfEk957VhpDryRFPOt2arFMioKBIAGqJ169Y2btw4W7p0qeXl5Xk9HMDRJKVej2QgoLYIZuBLKoDX6sz+/fvd7sDRQB3cjh07RhczAI1GHSK12jtv3jyvhwJUT9pp24EuXbp4PRT4BMEMfEsbaXXq1ClqVmeUYpacnOxy3QGgMeicMmPGDNu8ebMdOnTI6+EgylVUVLimFJq006QlUBsEM/Atneh0ET58+LDt3LnTIpmCNQUz5BADaGwjRoyw9u3b06oZntu9e7edOnWKFDPUCcEMfE2dTrp37x7xqzOaMVUnM07wAILRVOWSSy5xE0NK8QG8okm7tm3bWrt27bweCnyEYAYRUTujepJI3i9BNxjNmze3bt26eT0UABFIk0JqrDJ37lwrLS31ejiIQnrdaQ85TdqRYoa6IJiB73Xt2tXVkSxcuNAqKyst0uhnIocYQLDNmjXLioqKXHczINS2b9/u9jyiyQ3qimAGEUGrMydOnIjIFAl1ayssLCTFDEBQtWrVyiZMmOD2nVFaKxDqFLPOnTu71yFQFwQziAjp6enWv39/W7RokeuGEkkUoGk/CO2rAwDBNGXKFNfh7NNPP/V6KIgiWhHURtisyqA+CGYQMaZPn27Z2dm2ceNGixRacv/iiy9IMQMQEtqQd+bMmS61Vft4AaGg65ya+AwaNMjrocCHCGYQMdRaVDf9ixcvtvLycosEajmtokhSzACEytChQ90eXmrVHIl1iAjPDISePXtas2bNvB4KfIhgBhG3OpOfn2/r1q2zSMkhVgqd0swAIBS0Cjxnzhw7evRoRK10Izzl5eW5VUBSzFBfBDOIKLrpHzZsmC1ZssT37UWLi4ttx44dnOABhFyXLl3cirD28CopKfF6OIhgmrTTZtCqewXqg2AGEWfatGluB+HVq1eb33OI1cyAYAaAF1Q7o0khpe4CwQxm+vbt6xpPAPVBMIOI07JlSxs5cqQtW7bMrW74+QSvjey0WSYAhFqLFi1s0qRJtnLlSjt58qTXw0EE0pYKR44coS4UDUIwg4g0depU1wRAF2E/KigocPvLcIIH4KWJEye6omxaNSNYk3ZJSUnWp08fr4cCHyOYQUTSasaYMWPc5m/qX+83W7ZscUW4AwYM8HooAKJYQkKCzZo1y+3OvmfPHq+HgwiiVszqYqbrXHx8vNfDgY8RzCBiKT1CJ8vly5eb3+gEr5mqlJQUr4cCIMpp74+uXbvSqhmNSullWVlZ1IWiwQhmELGaNm1q48ePt1WrVrm0Lb/Qyf3w4cOc4AGEVavm48eP29q1a70eDiKEJu10ne7Ro4fXQ4HPEcwgok2YMMG1fFy6dKn5KYdYqR39+vXzeigA4Gi/q+HDh9vChQtdt0igIbTCp3RqrfrFxnIriobhFYSIpjQtFbBqNjE3N9f8lEOsgAYAwsXFF1/s2sUroAEaQptkaoNrmtygMRDMIOKNGzfOdUvxw14JmZmZrlUlKWYAwo26mk2ZMsXWrFnjUs6A+tKknbZR6NSpk9dDQQQgmEHEUyCjZgAbN2509SjhfoLXalLPnj29HgoAfIXqEHUT+vHHH7uVZKCutG2CNoXWqozqsYCGIphBVFCb5iZNmoT16oxuDAI5xKrzAYBwoxa6s2fPtt27d9vOnTu9Hg58SK8dbWhNBgIaC8EMooLqT7SR5ubNm8M2PeLgwYOuroccYgDhTM1J1IFKqzOqoQHqmoHQvn17a9eunddDQYQgmEHUGDFihLVo0SJsi1d1gtf4unTp4vVQAOCCrZqzs7Nt9erVXg8HPlJSUuI2YGVVBo2JYAZRlR4xbdo027p1qx09etTCiWY3lWKmEzw5xADCnWbWR40aZYsWLbLCwkKvhwOfUCCjmhmCGTQmghlElWHDhllaWpotWLDAwsmePXvc3g2kmAHwi4suushNvsyfP9/rocBH+6gp+0BNJIDGQjCDqKLNuaZPn247duywQ4cOWTid4Nu2betmOwHAD9RURavdGzZsCLvVboQfreDt2rWLSTs0OoIZRB0tb6vwMFxWZ8rKylybSlLMAPixU2Tr1q1p1YwLUoq3DBw40OuhIMIQzCDqKGDQ6oxSu/bt2xcWOcQKaMghBuA3aiOvVs06l2pSBjhfBkKvXr2sadOmXg8FEYZgBlGpf//+1rFjR7c64/Vsok7w2gVZtTwA4Dd9+vSx3r1726effuqKu4EzaduBAwcOMGmHoCCYQdSuzsyYMcOdXLWBl1dU9K+N58ghBuBnatWcl5dnK1as8HooCEOatFNHUU0kAo2NYAZRS8vd6qri5eqM0jL02IMGDfLk8QGgMbRp08bVzyxZssTy8/O9Hg7CcB81bbaalJTk9VAQgQhmYNG+OpORkeHqVrw6wWsn7WbNmnny+ADQWNTZTLPv8+bN83ooCCPHjx+3zMxMUswQNAQziGrdu3d3wYQXqzOavVTRLCd4AJEgJSXFTRBt2rTJDh8+7PVwECY0aZecnOzqqoBgIJhB1NPF99ixY7Zly5aQ5xCrE9CAAQNC+rgAECwjR450re8/+ugjz5urwHt6Dehap+ucVu2AYCCYQdTr3Lmz9e3b1xYuXGiVlZUhe1yd4NUFSDNWABApGxNfcsklblNineMQ3bRCl52dTZMbBBXBDGDm9p05efKkS48IBT2WanU4wQOINErdVdequXPnWmlpqdfDgYcU0KomtFu3bl4PBRGMYAYwc3vOaFfiRYsWWUVFRUhO8ImJiW5lBgAijTbSLCwstOXLl3s9FHhEmQ661qlbp1bsgGDh1QXUWJ3RPgnr168Peg6xCiKVQ5yQkBDUxwIAL7Rq1crGjx9vy5YtcxsmIvqowY0CWjIQEGwEM8BftW3b1p10tU9CWVlZ0B7n6NGjLs2MLmYAItmUKVNcTaDSzRB9NGmXlpZm6enpXg8FEY5gBjhjn4SCggJbu3ZtUE/wTZo0sZ49ewbtMQDAa9ogUd0ilWp04MABr4eDECovL3ebQmvSTnu6AcFEMAPUoFmkESNG2NKlS4NSuBpoU0kOMYBoMHz4cFeTSKvm6LJz504rKSkhxQwhwd0UcIapU6e6k/CqVasa/Xvv37/fbZbJCR5ANNCsvFo1HzlyxDZu3Oj1cBAimrTr0KGDtWnTxuuhIAoQzABnSE1NtVGjRrkuPMXFxY2eYtayZUu3tw0ARIOuXbu6dKN58+a5iSJENv2Ot2/fzqQdQoZgBjhH4apyfhuzrahaPm/dupUcYgBRZ+bMme4mVw1WENm2bdvmrnc0uUGoEMwAZ6FNvsaOHetSzdRasjHs3r3brfQwWwUgGle8J02aZCtXrrSsrCyvh4MgUgaCNsls0aKF10NBlCCYAc5BF17RPgmNdYJv166dOwAgGs+pTZs2tU8//dTroSBI1A10z549rMogpAhmgHNQ++QJEybYmjVrXNF+Q6gzmnKIOcEDiFbaJFjpZkpD2rt3r9fDQRAolVpp1AMHDvR6KIgiBDPAeWgH6/j4+AbneSuQ0UacBDMAopnOgV26dHGtmisrK70eDoLQxax3795uMhAIFYIZ4Dy0e7VSI9atW2c5OTkNOsHrAt6qVatGHR8A+Ilm7efMmWPHjh2z9evXez0cNKLs7Gw7ePAgk3YIOYIZ4ALUCCAlJcUWL15cr68vKiqyXbt2cYIHADPr1KmTDRs2zObPn2+nTp3yejhoJJq0Uyphv379vB4KogzBDHABiYmJNnnyZLfh28mTJ+uVQ6ydrwcNGhSU8QGA31x88cWu/f2iRYu8HgoaMZhRIKNrJhBKBDNALYwePdq1az7zwltVWWmlO/db/ptzLfeFtyzn2T9b3m/ftaKFa6wiO6/6BN+zZ0/XxQcAYNa8eXO3n5carJw4ccLr4aCBMjMzXeogWw/AC/GePCrgM2oCMHXqVPvggw9s0rjx1nTtdsv77TtWvPpzqyr+647W2ghTR42i1tgObaxN+xTrev/t3g0eAMKQukWqbuaTTz6xb3zjG14PBw2gSTvVmPbq1cvroSAKsTID1NLwIUNs5BeZlj35dsu861/t1NINfwtkpKrqtEBGKo+esH6bD1nT2/+vHb72R1ayaXvoBw4AYTpJNGvWLNu5c6c74E9Ko9Y+amrHHBcX5/VwEIUIZoBaKN22145ceo8NmPeZJRT8tWC1lm1FYxXkmFnxio12aM7dlvXz562qtCyYwwUAXxgwYIB1797drc5UVFR4PRzUw6FDhyw3N5cUM3iGYAa4ANXDHLzoDivduttiGvKNKirdkf3Iy3boku9ZxYnsxhskAPi4VbOaq6h+Bv6jVRnVQHXr1s3roSBKEcwA55H36gd27Hv/YVZe8WUw0hiqqlxgdPjyewloAES9Dh062IgRI1yDFbWyh39o49MtW7a4rQcUmAJeIJgBzqHw0xV2/Mc/N/syS6xxVVRY2f4jlnH9/VZZs+4GAKLQjBkzXO3FggULvB4K6mDPnj0uACXFDF4imAHOoiIr1459/7+sYXllF3qQCivduseyH34piA8CAOFPreunTZtm69atc21+4Z8uZq1bt3ara4BXCGaAszjx08esMjffrDIYyzI1VFVZzuOvWPGGL4L7OAAQ5saOHWtpaWn28ccfu1UahLeysjL74osv3KoMKWbwEsEMcIbidVus4M25jVcjcyGxMXbin34ZmscCgDCltr6zZ8+2vXv32vbttLEPd2qnXVpa6uplAC8RzABnyH3hLbP4EPbKr6i0krVbrGTLrtA9JgCEoT59+riNF9Wquby83Ovh4AJdzNLT012aGeAlghmghoqTOVbw1rwvu5fV0m+KDtk3cjbbhJOrbMCJZTY1a439Xf4OO1BRXPsHjouzvBffrt+gASDCWjXn5OTYypUrvR4OzqG4uNitzLAqg3BAMAPUUDRvpVlZ3WYDf1d8xNaU51mL2HjrEJtoGZUl9lbJMft6zibLr6zl96qosIJ3FpAnDiDqtW3b1saMGWNLliyxgoICr4eDs1CtjDY5JZhBOCCYAWoo2bTDLD6+Tl/z9eQOtqjVaPu41ShbkDbGbk9Odx8/XlVmK8pyav19KnPyrOLI8TqPGQAizfTp010Nzbx587weCs7Rxax79+5us0zAawQzwBnF/1bHPO17m3Sx9Ljk6v8fk9Ci+u+JMXV7i5Vs3FanzweASJSSkuICmo0bN1pGRobXw0EN+fn5rkkDe8sgXBDMADWU7T3UoK+vqKqy14qPur93iU22CQkta//FcbFWtvdwgx4fACLF6NGjXcrZRx99RApuGNmyZYurbRowYIDXQwEcghmghqri0np/bVFVhd2T/4UtKcuxtjEJ9myLgZZUl5WZmBirLC6p9+MDQCSJjY21Sy65xA4ePOhuoBE+KWbqOqfVMyAcEMwANcXW7y1xvLLUvpH7mc0vzbIecSn2x5bDrE98kzp/n5h6Pj4ARKKePXtav379bO7cuW6TRngrKyvLDh8+TOE/wgp3TkANsS2a1flrdpQX2vU5m+zz8gIbE9/CXk8dal1r1NDUWkWlxaZSTAkANc2aNcvVaSxfvtzroUQ9rcokJCS4ABMIFwQzQA1Jw/vVeXXmvvxtdrjyy/SwgqoK+3beVvtaziZ3/PGv9TO1UlVlSYN713XIABDRtCnj+PHjbdmyZZaXl+f1cKKW6pa0UaZqZRTQAOGCYAaoIXl4f7OYun1NaVVl9d+/qCi0TeX51cfRitrXwKi8de6BnS43vKioqG6DAIAINnXqVEtMTHTpZvBGZmamnThxghQzhJ26bagBRLjksUNculddLEob0+DHrYoxK+3czvZnHrF1Wz5zH+vYsaPLF9fRtWtXi6/j/jcAECmSkpJsxowZ9t5777kNNbt06eL1kKKOVmVU9K9rEhBOYqrodwhUq6qstAOjbrTyQ5mhfeCYGGvz8/st9Y5rXRrFnj17XB9//akdsBXIKKAJBDcdOnRwrTEBIFpUVlbac88957qc3XXXXZwDQ0i3io899pj17dvXLr/8cq+HA5yGYAY4Q87Tr9nJf3/a1bCESkxyknX/4l2LbXZ6BzS9PY8fP267d+92wc2+fftcR5/A7FiPHj2sV69e1rJlHfazAQCf2r9/v7300kt2zTXX2LBhw7weTtQ973fccYebWAPCCXkrwBma33yZZT38olUVnApNQBMbay3uvPYrgYxo5rFdu3bumDBhglVUVNihQ4fcio2ODz74wAU8rVq1ql61UYBD/38Akahbt242cOBAVzujQnTV0SA0XcxSU1NJ70NYYmUGOIv8P39ix+75v8F/oNhYi+/Uzros+a3FNq17AFJcXOxWawLBzcmTJ93H09PTq4MbXXyotwEQKXJycuypp55yHc4uvvhir4cT8TSJ9sgjj9iIESNcm2wg3HCHA5xFs6/NsoK351vR3JU6kwfvgSorrd2T/1yvQEaSk5Otf//+7pDc3NzqwGb9+vW2dOlSF8hoNjMQ3LRv355ccwC+pbRarVRr35mRI0e6lWkEj64np06dsiFDhng9FOCsWJkBzqEiK9cOX3aPle3LCFpA0/rf77WW990clO+tt/axY8dOq7cpLy+3Jk2anFZvo9QBAPCT0tJSe/LJJ61z58524403ej2ciPbmm2/a0aNH7Z577mEiDGGJYAY4j/KjJyzjmh8GJaBJ++l3rNVPbrVQUSCjeptAcJORkeECnrS0tNPqbbTaAwDhbvPmzfbWW2/ZbbfdZt27d/d6OBFJDWceeughmzx5stvrBwhHBDPABVSczLHMe/+vnZq/2rVQblBTgLg4i0mItzb/735rcYu37S2VNlCz3iYrK8vNup1ZbxMXF+fpOAHgbHT78vzzz7uJmrvvvtu1bEbjF/6/8cYb9oMf/MBNfAHhiGAGqAW9TfL/+JGd+MdfWNWpElfrUicKCCoqLHnSCGv3+E8toWtHC8ei2kBgo5WboqIiS0hIOK3eRl3VSDMAEC602qyA5oorrrBRo0Z5PZyI89prr7m9zrSvDxCuCGaAOig/nm35v33Xcl940yqOZZnFfxmkWNU5ApiqSreSkzJ9rKXedZ01mTXRF8GATgvKkQ4ENwcOHHCzn02bNq0ObHS0aNHC66ECiHJKNdu1a5dbPSBNtnFX7x9++GGbPXu2jRs3zuvhAOdEMAPUQ1V5uRUtWGPFqz+zkg1fWMnG7VZZUGhWUWmWEG8JXTpY0ujBljSsnzWdPdESuqebnymQUUATWLVRvY20adOmupGAVnC4kQAQanl5ea4ZwOjRo92NNxqHOmK+//779pOf/MSaNWvm9XCAcyKYARqR3k5+WHlpKKWgqd4m0EwgOzvb/dydOnWqXrVRlyHqbQCEwuLFi23RokV27733WuvWrb0eTkR4+eWXXR3St771La+HApwXwQyABlMwU7PeRukJ2pm7Zr1N27ZtoyLQA+BN1y1tpKl9tG6+OTjt7qNttesXv/iFXXXVVW6zTCCcsWkmgAbTpnUqvtVRWVl5Wr3N3Llz3Q7SSlOoWW/TvHlzr4cNIEKoWYl2p//zn//sVoyV+or627Jli1tZHzBggNdDAS6IlRkAQZ8xDdTb6FCgI1qpqVlvk5SU5PVQAfiYbmdeeukltzL83e9+lzTXBnjuuefchspsSAo/YGUGQNBnTBWwBGZKCwsLXSqaApvt27fb6tWrXV52zXob/Z0bEQB1oTTWSy65xJ599llbu3YtHbjq6eTJk67Jy6RJk7weClArBDMAQkrtnQcPHuwOzaTWrLdZtWqVK+JVvY129A4EN+qaRr0NgAvp2LGjq/FYuHChDRkyxJo0aeL1kHzns88+c+fgPn36eD0UoFZIMwMQNlRvc+TIkerg5uDBg67eRvU1NettaBMK4Fy0yeMTTzxhw4YNs8suu8zr4fiKbgnVSEHdKK+55hqvhwPUCiszAMJGIN1Mx5QpU6y0tPS0eptNmza5z2vXrl11YKN6G80iAoBosmPq1Kk2b948t/eMzheoHdU0Ks3s0ksv9XooQK2xMgPAN1RvEwhsdKh9qAKgLl26VDcTSE9Pdx8DEL200e+vfvUra9mypX3zm98kTbWWPvnkE9u8ebPbKJPzKPyCYAaAL+nUlZWVddr+NiUlJa4rmgIbHVq50QZ63MgA0UcNRl577TW76aabrF+/fl4Pxxdpvo899pj179+f9Dz4CmlmAHxJAYoCFR1jxoxxF2J14AkENx9//LH7WIsWLU6rt1EDAgCRr2/fvu49r9UGrdrGx3PLcz5K6c3Pz3eNEwA/YWUGQERSvc3+/furg5tjx465j2uH8Jr1NmodDSAy6X3/zDPP2MyZM23ixIleDyesvffee+5c+cMf/pDVbPgK0xQAIlKgtWigvag6HAUCm88//9xWrFjh9rKpWW+jtq7kiQORQ8X/agKwePFiGzp0KJ0Qz0FdI7du3eqeKwIZ+A0rMwCijk576tize/duV2ujQys5ycnJ1fU2Cm5atWrFhR3wuaKiIteqecCAAXbVVVd5PZywri+655576P4G32FlBkDUUYCijTh1aJdwzUrWrLf56KOPXL1NampqdUqaAhzqbQD/0caZ06dPd+9r1ddpBRan02q1ghgCGfgRKzMAcAZ1RatZb3P8+HH38Q4dOlQHN127dqXeBvAJTViodkYTErfddhsrrjVoVfrhhx92e/NMnjzZ6+EAdcbKDACcQe2d1QlJh6jDTyCw0R4My5cvd/U2CmgCwY0CHeptgPCk9+ucOXPslVdecbUhgwYN8npIYZViVlZWZoMHD/Z6KEC9sDIDAHWgU6ZWagLBzb59+9yNQEpKylfqbQCElz/84Q+WmZlp9913Hyurf/Xqq69acXGx3XnnnV4PBagXghkAaGD6yuHDh6ubCRw6dMgFPNp5vGa9jfL2AXhLjT+efvppmzZtmkurinZqjvDII4+4VauxY8d6PRygXkgzA4AGCKSb6bjooovcDGfNepv169e7z1PRcc16GzbwA0JPm+zqpn3p0qU2fPhwt6luNFPKnSZfSLuDn7EyAwBBlJeXVx3Y6CgsLHSBzJn1NhQkA6GhCQe1au7du7dde+21Fs1eeukldz765je/6fVQgHojmAGAENHpVjuSBwIbreAE6m0CgY0OpagBCJ5169bZ+++/b9/+9retc+fOFo1yc3Ptscces2uuucaGDRvm9XCAeiOYAQAP620OHjxYHdxorxudktU8oGa9jYIdAI1H+0g9++yzblVCAU00rowuW7bMFi5caA8++KDr4Aj4FcEMAIRR+ou6owWaCahYWTdZNettunTpQr0N0Aj0Xnv55ZddqtnQoUMt2vz617+2tLQ0u+GGG7weCtAgXBEBIEwkJydb//793RFIA6nZSEBFywpkunXrVh3ctG/fPipnlYGG6t69uw0YMMDmzp3r3nOJiYkWLdRe/ujRo3R0Q0RgZQYAfECnau2PUbPepry83LV8rllvk5qa6vVQAd/Izs62p556yiZNmuS6EUaLBQsW2KpVq1yKGSu98DtewQDgA1p9UdczHRMnTnSBTM16m88//7y69Wxg407NPGu1B8DZqT5twoQJtnz5chsxYkRUNN/QxMhnn33mVqUIZBAJWJkBgAhw6tQpV2ejwEZ/ZmVluQAoPT39tHob7YsD4G9KSkrsySefdOmb119/vUU6bfL7m9/8xr71rW+58wLgdwQzABCBcnJyTtvfRsFOQkLCafU27dq1o94GMLONGzfaO++8Y7fffrt7j0Syjz76yLZs2WL333+/xcbGej0coMEIZgAgwuk0r2LfQGBz4MABl6bWtGnT0+pton03dET3e0SrFWrZ/J3vfCdib/L18/3iF7+wQYMG2SWXXOL1cIBGQbIkAES4QHtnHSp01kadNettlD8vbdq0Oa3ehr0nEE3vEd3cv/DCC26VZuTIkRap7agLCgpsyJAhXg8FaDQEMwAQZZRuFliNkaKioup6m507d9qaNWvczZ12Rg8EN506daLeBhFNNWW6yZ8/f75buYjEYF6NQtT0QLV0QKQgzQwA8JV2tYGNOxXgaDNP7cGh1RoFNwqC2rZtS70NIo72dlIzgLFjx9qsWbMskii19OGHH3Y/24wZM7weDtBoWJkBAJxGM7ejR492h3Lsa9bbaIPBiooKa9as2Wn1Ns2bN/d62ECDaZ+myZMn2+LFi23UqFGWlpZmkWLXrl2ucxspZog0rMwAAGpN9TZqIBAIbhToiFZqAoGNukFFYooOouc1rtUZ1ZjddNNNFilef/1117L9u9/9rtdDARoVKzMAgDrV26iGRocUFhZWp6Nt27bN7SquTlA1622Un0+9Dfz0GleK2RtvvOFe15GwF4tWZHbs2GHTp0/3eihAo2NlBgDQKHQ50cxvYONOHYF6GwU2gXobdU2j3gbh/lp+8cUX3ev3e9/7nu9bNW/atMnefvtt+/GPf+xS6YBIQjADAAgK1dscOXKkupmA0tP0MdXX1Ky3Uf0NEG4yMjLsueees8suu8zGjBljfvbKK69YaWmp3XHHHV4PBWh0pJkBAIJCs9lq6axj6tSp7maqZr2NZoulXbt2p9XbaCUH8JrSI4cPH24LFiywwYMHW0pKivmRUkE1oaCgDIhEBDMAgJBQkNK7d293iDbvC9TbbN261VauXOkCIO33EQhudEPp9xQf+NfFF1/sXpsLFy60Sy+91PxI41da58CBA70eChAUpJkBADynS9HJkyerV220U7mKltUVLVBvo2YCapVLvQ1CaenSpW4jzXvuucd17fObF154wZKTk+0b3/iG10MBgoJgBgAQdlRbo5qFQL3NwYMH3cdatGhxWr1N06ZNvR4qIpw2m3z66addIH3LLbf4KpjOycmxX/7yl3bttdfa0KFDvR4OEBSkmQEAwk6gvbOOadOmuXqb/fv3Vwc3GzdudJ/Xvn370+pt1FYXaEzx8fE2e/Zs++Mf/2g7d+60vn37ml98/vnnbvz9+/f3eihA0BDMAAB8UW/Tp08fd0h+fn51vY1u2FasWOH2sqlZb6NND6m3QWPo16+fS3X85JNPXLqjX/ZN0ntDgQxNNRDJSDMDAPiaLmMnTpw4rd5GKzmqEwjsbaOjVatWvkoRQnjJzMy0X//6125DzQkTJli4O3bsmP3qV7+ym266yQVjQKRiZQYA4GsKUFSYrWPcuHFWUVFhhw8frg5u/vKXv7iAR5sF1qy3adKkiddDh48opXHkyJG2aNEiV38S7vVan332mQvoA90DgUjFygwAIKKpK1rNepvjx4+7j3fo0KE6sOnatSv1NqjVni1PPvmkDRo0yK644goLV7q1e/zxx91r+8orr/R6OEBQsTIDAIhoau+sou1A4XZeXl51vc3mzZtt+fLlrgZCAU0guFGgQ70NzqTVGDWkUO3M6NGj3eskHGllUp3MhgwZ4vVQgKBjZQYAELV0CdRKTc16m7KyMrfb+5n1NoAojVG1KM2bN7dbb701LOuwPvzwQ/viiy/sxz/+MUE5Ih4rMwCAqKUb0Xbt2rlj/Pjx7kb10KFD1cHNBx984AIeBTOBjTu7d+9OvU0U0yrenDlz7NVXX7Vt27bZgAEDLJxoP6YtW7a4VRkCGUQDghkAAGrcqGq/Gh0XXXSRFRcXu9WaQHCzfv1693lq+1yz3kZ7eSB6qEW4CuuVbqa/h9PvXymUqu0hxQzRgjQzAABqKTc3t7reRoduGnUje2a9TTimHqFxqR240s2mT59uU6ZMsXDxzjvv2MGDB+2+++7jdYioQDADAEA96PKpvTwCgY06pqneRiloNettWrZs6fVQESQfffSRW637wQ9+4GpovKbX38MPP+z2wVGQBUQDghkAABpBeXn5afU2GRkZLuBJS0s7rd5GzQUQGU6dOmVPPPGE25Ty6quv9no4tnXrVnv99dfdqkybNm28Hg4QEgQzAAAE6Ua3Zr1NVlaWS/tJT0+vXrnp0qVLWNVboO7WrFnjNma96667rFOnTp6O5U9/+pNryXz33Xd7Og4glAhmAAAIAd1kKqgJ1NwUFRW5QEbNBgIpadplnjoHf1H3sF//+tduP6M77rjDs9+fmlUoxeziiy92aWZAtCCYAQAgxHTpzczMPK3eRmlq2pSxZr1Namqq10NFLShA/e1vf2vXXXedZ13ENm7c6Ir/77//fmvRooUnYwC8wNo2AAAhptl7dT3TMXHiRBfIqANVILj5/PPP3ee1bt26OrBRvU1ycrLXQ8dZKADt37+/zZ071/2ZkJAQ8jF89tln7jVCIINow8oMAABhWG9TswV0dna2C4BUkxFoJtC5c2e3Lw7Cg2qinn76aZs8eXLIO4kVFBTYo48+apdffrmNGjUqpI8NeI2VGQAAwow6ng0cONAdomAmUG+zdu1aW7JkiZv910x8IC2tXbt21Nt4SF3rxo8fb8uWLbMRI0aENEVwy5Yt7ncfeL0A0YSVGQAAfESX7aNHj9ru3btdcKN6m4qKCldvE0hJ00G6UeiVlJS4Vs0KML/2ta+F7HGff/55t7/RzTffHLLHBMIFKzMAAPiIZuA7duzoDqU0aaNE1dsEghvVToj2GalZb6NuWwguPcfqJvbuu+/amDFjrGvXrkF/TK3aaX+jUAZPQDhhZQYAgAiils81623UEloBkGpsAsGNam+otwkO3VY999xz7u/f+c53gp76t3jxYlu6dKk9+OCDlpiYGNTHAsIRwQwAABFKl/hAvU2g5kb7keimN1Bvo2YCWsWh3qbxHDhwwF588UW7+uqrbfjw4UH9/f7qV79yXfHUFhqIRgQzAABE0QaPR44cqQ5sdNOteptmzZqdVm/TvHlzr4fqe2+88Ybt27fPvv/97wctxU97FT3zzDOuVqZv375BeQwg3BHMAAAQpVRvo4AmUG+jxgLStm3b6sCmW7du1NvUQ25urj355JM2btw4mzlzZlAeQ/varF+/3h544AHSBhG1aAAAAECUUntnpZnpkMLCwup6m23bttmqVassNjb2K/U2+hjOT62ZtSGqWjVr75dWrVo16vfXXLQ2V1U7ZgIZRDNWZgAAwFfo9kAbQdast1HrYdXbqNYmUG/TunVr6m3OobS01K3OKAD8+te/HpS6nNtvv92tngHRipUZAADwFQpQFKjoUJth1dtkZGRUBzeffPKJ+5j2s9GKTWDzTtXf4EsK/GbNmmVvvvmmCwb1HDUWteDWcx+K9s9AOGNlBgAA1GvVQRt2BlZtVIwu7dq1O63eJtrbBes264UXXnD1SXfffXejpOipacOjjz7qOqUpWAKiGSszAACgzhSk9OnTxx1SUFBQXW+zZcsWW7lypbtx79KlS3Vwk56eHnX1NlrhuuSSS+w3v/mNK9YfPXp0g7+nnmPtJzRkyJBGGSPgZ6zMAACARqVbi5MnT1anpKlFsept1BUtkI6mIy0tLWrqbd5++23buXOn/eAHP7Dk5OQGfa+33nrLpfzde++9UfP8AefCygwAAGhUusHWRpw6xo4d62prDh8+XB3cfPTRR+5j6vhVM7hp2rSpRaqLL77Ytm7daosWLbI5c+bU+/soXU2d5iZNmkQgAxDMAACAYAukm+mYNm2aq7fRak0guNm4caP7vPbt259Wb6PW0ZFCG5FOmTLFFi5c6Fo1K9Crjx07drjnb/DgwY0+RsCPSDMDAACeys/Pr24koA08VX+jvVNq1tt07NjR9/U25eXl9tRTT7lNSb/xjW/U63u89tpr7vm56667Gn18gB8RzAAAgLCh25ITJ06cVm+jlQjVmdRMSdMmlH5Ms1Kq2euvv2633HKL9e7d+yv/fqq80k4UV1hZZZXpp0uMi7E2yXGWFBdrp06dskceecRmzpxp48eP92T8QLghmAEAAGFLbYhr1tscOnTIBTwtW7as3rhTfzZp0sT8QGN/+eWXrbCw0L73ve8pB8925pba1qwSyygss4Lys9+WpSbGWpOSfDuwcp796JvXuz1mABDMAAAAH1FXtJr1NlrFEaWhBVZutJFkONfbHD161J79zfPWd871diy5jRWVf7kKc8EbsqpKs5hYF9iMbZdiI9okW6wPV6eAxkQwAwAAfCsvL6+63kZ/BuptFNDUrLcJp5S0QwVl9scvMq0sLkmt3+r9fdqnxNmV3Ztbm2T6OSF6EcwAAICIoFua48ePuyYCCm60gqNWxikpKV+pt/FqfMszT9mSI0W1W4m5AH0PxUJzujSzYa0btncN4FcEMwAAIGLrbVRjE0hJU+2NbnsUzAQCGwU5CnaCTY8773ChrT1eHJTvf3GnpjamXfB/DiDcEMwAAICoUFxcfFq9zcmTJ93H09PTq5sJqB10fHzjp20tO1rkVmSC6fKuzWwIKzSIMgQzAAAgKuXm5lYHNjqKiopcIFOz3qZDhw4NrrdRjczvd+ZasMXFmH1nQCtrmRQX9McCwgXBDAAAiHq6HTp27Nhp9Tba5FItn2vW26gldF1ov5jnv8i23NLKBtfIXIhCrk5N4+2WPqlh1fAACCaCGQAAgDMokFG9TSC4ycjIcAFPWlpadWDTvXv3C9bbLP9relkob7au7NbMBqWRboboQDADAABwAadOnTqt3iYrK8utfqjeJhDcdO7c+bR6m4qqKnvq8yy3j0yoxPy1ZfPt/b3p2AaEGsEMAABAHeXk5FQHNlq5Ub2NNurs1q1bdTOB7MRUe3tfQb0f49V/+LZ99um77u9DZ19jN/+/52r9tbf3a2kdmrD/DCIfr3IAAIA6Uu3MyJEj3aF54aNHj1YHNwsWLLBPP/3UksddZtaum1lMbJ2//9p3Xq0OZOpKj7Y1u4RgBlGBVzkAAEADKN2sY8eO7pg0aZKrtzlw4IC9lZVsZfUIZE4e3GvvPfRP1nXoGMvNPGy5mRl1+vpKM8soLKvz4wJ+VPd3GAAAAM5JdTMdu3a3srjEOn9tRXm5/fGf77GY2Fj7+n/9ymJi69dmOfNUuVsxAiIdwQwAAEAjO1lcUa+vm/fsQ3bw83V29T/+r6V16lbvxy+rNCvQf4AIRzADAADQyLS/TF0d2rrRFr34Sxt+2Q024rLrG2EMDf4WQNijZgYAACAMZO76wiorKuzzee/Z1gUfuI+VFZ9yf34+/337t0nd7KcffWbJzVvU6vuxbyaiAcEMAABAI0uMq38kUV5S/JWPVZaXW2l5uVXVYfvNhFiiGUQ+9pkBAABoZCUVlfaLzVkN/j4/v3yk5Rw5WOd9ZpLiYuzHQ9JcpzUgklEzAwAA0MiS4mKtZaJ3t1kdm8QTyCAqkGYGAAAQBJ2bJVhuVkkdEsO+6h8+WF/nr1EIk96UWzxEB1ZmAAAAgmBwq6QGBTL1pccc3CrZg0cGQo9gBgAAIAi6NU8IeaqZVmW6NUuwtOT6bbYJ+A3BDAAAQBCoZmVsu5SQr8qE+jEBLxHMAAAABMnwNsnWoUmcWzEJNj1Gv5aJ1is1MQSPBoQHghkAAIAgiY2JsSu7NQ/JBpba22ZO52bBfyAgjBDMAAAABFHr5Hi7pEtwgwzFStd0b25NEri1Q3ThFQ8AABBkQ1sn28zOTYMWyFzdo7n1aEF6GaJPTFVVlRddAwEAAKLO51nF9tGBAquo+rJYv6FBTFJcjF3dnUAG0YtgBgAAIIRySirsg/35drCw3AUkdb0RC3yNiv1VI0NqGaIZwQwAAECI6fZra3aJrT1ebEeKyl3ef2Utg5juzRNsTNsUupYBBDMAAADeOlpUbl9kl1hGUZn7e9kZUU1yXIx1bBJv6U3jbVCrZDbEBGogmAEAAAgTui0rKK+0sgptummWGBtjTeJj3AacAL6KYAYAAACAL1ExBgAAAMCXCGYAAAAA+BLBDAAAAABfIpgBAAAA4EsEMwAAAAB8iWAGAAAAgC8RzAAAAADwJYIZAAAAAL5EMAMAAADAlwhmAAAAAPgSwQwAAAAAXyKYAQAAAOBLBDMAAAAAfIlgBgAAAIAvEcwAAAAA8CWCGQAAAAC+RDADAAAAwJcIZgAAAAD4EsEMAAAAAF8imAEAAADgSwQzAAAAAHyJYAYAAACALxHMAAAAAPAlghkAAAAAvkQwAwAAAMCXCGYAAAAA+BLBDAAAAABfIpgBAAAA4EsEMwAAAAB8iWAGAAAAgC8RzAAAAADwJYIZAAAAAL5EMAMAAADAlwhmAAAAAPgSwQwAAAAAXyKYAQAAAOBLBDMAAAAAfIlgBgAAAIAvEcwAAAAA8CWCGQAAAAC+RDADAAAAwJcIZgAAAAD4EsEMAAAAAF8imAEAAABgfvT/AeRfZxDZHRrkAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "launcher = QLauncher(pr, alg, backend)\n", "result = launcher.run()\n", "pr.visualize(result.best_bitstring)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## AQT Backend\n", "\n", "If you have access to one of the AQT quantum computers you can use it as a backend instead of a qiskit simulator. To do that you need to import AQTBackend and pass 'device' as a name together with your access token at object initialization." ] }, { "cell_type": "raw", "metadata": { "vscode": { "languageId": "raw" } }, "source": [ "from qlauncher.routines.qiskit import AQTBackend\n", "\n", "backend = AQTBackend('device', token=\"1234\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively you can pass a path to the .env file containing you token." ] }, { "cell_type": "raw", "metadata": { "vscode": { "languageId": "raw" } }, "source": [ "from qlauncher.routines.qiskit import AQTBackend\n", "\n", "backend = AQTBackend('device', dotenv_path=\"file/to/.env\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There rest looks identically to using a regular qiskit backend, you can use all the problems and compatible algorithms." ] } ], "metadata": { "kernelspec": { "display_name": "launcher", "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": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 2 }