{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Pseudo-spectral projection\n", "\n", "Pseudo-spectral projection method is one of two non-intrusive polynomial\n", "chaos expansion methods. (The other being point collocation method.) In a\n", "nutshell it can be performed as follows:\n", "\n", "1. Generate nodes $Q_1, ..., Q_N$ and weights $W_1, ..., W_N$ from a\n", " [quadrature integration](../fundamentals/quadrature_integration.ipynb) scheme.\n", "2. Use nodes to create model evaluations $U_1, ..., U_N$.\n", "3. Select an expansion of orthogonal polynomials $P_1, ..., P_M$.\n", "4. Estimate Fourier coefficients $c_1, ..., c_M$, creating model\n", " approximation $\\hat u(q) = \\sum_i c_i P_i$.\n", "5. Perform model analysis on approximation $\\hat u(q)$ as a proxy for the\n", " real model.\n", "\n", "Let us go through the steps in more detail." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generate quadrature nodes and weights\n", "\n", "In pseudo spectral projection, the nodes used to evaluate the model have to\n", "be taken from [quadrature integration scheme](../fundamentals/quadrature_integration.ipynb).\n", "\n", "For example, we can choose full tensor-grid with optimal Gaussian quadrature,\n", "and Smolyak sparse-grid with Genz-Keister and Clenshaw-Curtis quadrature:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:45.719393Z", "iopub.status.busy": "2021-05-18T10:56:45.719010Z", "iopub.status.idle": "2021-05-18T10:56:48.134337Z", "shell.execute_reply": "2021-05-18T10:56:48.133969Z" } }, "outputs": [], "source": [ "import chaospy\n", "from problem_formulation import joint\n", "\n", "gauss_quads = [\n", " chaospy.generate_quadrature(order, joint, rule=\"gaussian\")\n", " for order in range(1, 8)\n", "]" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:48.136528Z", "iopub.status.busy": "2021-05-18T10:56:48.136215Z", "iopub.status.idle": "2021-05-18T10:56:48.153877Z", "shell.execute_reply": "2021-05-18T10:56:48.153576Z" } }, "outputs": [], "source": [ "sparse_quads = [\n", " chaospy.generate_quadrature(\n", " order, joint, rule=[\"genz_keister_24\", \"clenshaw_curtis\"], sparse=True)\n", " for order in range(1, 5)\n", "]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:48.156633Z", "iopub.status.busy": "2021-05-18T10:56:48.156315Z", "iopub.status.idle": "2021-05-18T10:56:48.275943Z", "shell.execute_reply": "2021-05-18T10:56:48.276217Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot\n", "\n", "pyplot.rc(\"figure\", figsize=[12, 4])\n", "\n", "nodes, weights = gauss_quads[5]\n", "\n", "pyplot.subplot(121)\n", "pyplot.title(\"Gaussian\")\n", "pyplot.scatter(*nodes, s=weights*2e3)\n", "\n", "nodes, weights = sparse_quads[3]\n", "idx = weights > 0\n", "\n", "pyplot.subplot(122)\n", "pyplot.title(\"sparse-grid\")\n", "pyplot.scatter(*nodes[:, idx], s=weights[idx]*2e3)\n", "pyplot.scatter(*nodes[:, ~idx], s=-weights[~idx]*2e3, color=\"grey\")\n", "\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Evaluating model solver\n", "\n", "Like in the case of [problem formulation](./problem_formulation.ipynb) again,\n", "evaluation is straight forward:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:48.278543Z", "iopub.status.busy": "2021-05-18T10:56:48.278224Z", "iopub.status.idle": "2021-05-18T10:56:48.289140Z", "shell.execute_reply": "2021-05-18T10:56:48.288800Z" } }, "outputs": [], "source": [ "from problem_formulation import model_solver, coordinates\n", "import numpy\n", "\n", "gauss_evals = [\n", " numpy.array([model_solver(node) for node in nodes.T])\n", " for nodes, weights in gauss_quads\n", "]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:48.291119Z", "iopub.status.busy": "2021-05-18T10:56:48.290855Z", "iopub.status.idle": "2021-05-18T10:56:48.301233Z", "shell.execute_reply": "2021-05-18T10:56:48.301505Z" } }, "outputs": [], "source": [ "sparse_evals = [\n", " numpy.array([model_solver(node) for node in nodes.T])\n", " for nodes, weights in sparse_quads\n", "]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:48.303822Z", "iopub.status.busy": "2021-05-18T10:56:48.303502Z", "iopub.status.idle": "2021-05-18T10:56:48.526039Z", "shell.execute_reply": "2021-05-18T10:56:48.526305Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.subplot(121)\n", "pyplot.plot(coordinates, gauss_evals[6].T, alpha=0.3)\n", "pyplot.title(\"Gaussian\")\n", "\n", "pyplot.subplot(122)\n", "pyplot.plot(coordinates, sparse_evals[3].T, alpha=0.3)\n", "pyplot.title(\"sparse-grid\")\n", "\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Expansion of orthogonal polynomials\n", "\n", "Unlike [point collocation](./point_collocation.ipynb) method, the polynomials\n", "in pseudo-spectral projection needs to be orthogonal for the method to work.\n", "This can be achieved by using the\n", "[chaospy.generate_expansion()](../../api/chaospy.generate_expansion.rst)\n", "function:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:48.528539Z", "iopub.status.busy": "2021-05-18T10:56:48.528223Z", "iopub.status.idle": "2021-05-18T10:56:49.204301Z", "shell.execute_reply": "2021-05-18T10:56:49.204574Z" } }, "outputs": [ { "data": { "text/plain": [ "polynomial([1.0, q1-0.15, q0-1.5])" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "expansions = [chaospy.generate_expansion(order, joint)\n", " for order in range(1, 10)]\n", "expansions[0].round(10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fourier coefficients\n", "\n", "Polynomial chaos expansion assumes that we can model function $u$ using an\n", "expansion:\n", "\n", "$$\n", "u(q) \\approx \\hat u(q) = \\sum_{i=1}^N c_i P_i\n", "$$\n", "\n", "Since $P_1, \\dots, P_N$ are orthogonal, the optimal selection for $c_1,\n", "\\dots, c_N$, the Fourier coefficients becomes:\n", "\n", "$$\n", " c_i = \\frac{\\left\\langle u, P_i\\right\\rangle}{\n", " \\left\\langle P_i, P_i\\right\\rangle}\n", "$$\n", "\n", "These coefficients can be estimated in pseudo-spectral projection using\n", "quadrature integration. In `chaospy` we calculate the model approximation\n", "directly through the\n", "[chaospy.fit_quadrature()](../../api/chaospy.fit_quadrature.rst)\n", "function:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:49.206874Z", "iopub.status.busy": "2021-05-18T10:56:49.206560Z", "iopub.status.idle": "2021-05-18T10:56:50.340823Z", "shell.execute_reply": "2021-05-18T10:56:50.340565Z" } }, "outputs": [], "source": [ "gauss_model_approx = [\n", " chaospy.fit_quadrature(expansion, nodes, weights, evals)\n", " for expansion, (nodes, weights), evals in zip(expansions, gauss_quads, gauss_evals)\n", "]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:50.343241Z", "iopub.status.busy": "2021-05-18T10:56:50.342888Z", "iopub.status.idle": "2021-05-18T10:56:50.445173Z", "shell.execute_reply": "2021-05-18T10:56:50.445814Z" } }, "outputs": [], "source": [ "sparse_model_approx = [\n", " chaospy.fit_quadrature(expansion, nodes, weights, evals)\n", " for expansion, (nodes, weights), evals in zip(expansions, sparse_quads, sparse_evals)\n", "]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:50.449673Z", "iopub.status.busy": "2021-05-18T10:56:50.448962Z", "iopub.status.idle": "2021-05-18T10:56:50.618858Z", "shell.execute_reply": "2021-05-18T10:56:50.618435Z" } }, "outputs": [ { "data": { "image/png": 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+fQ/N5rPZjpXLDo3Gk6sBF4o2KxmdR3WX5bDDVDFDxtDwNNCEhqXLxDuvC2qNHoYu6HY9ljbaXJ3IU8x8+c1wx13bSeQ0rw1O9/rU2g4yNlZ48kGKZ2Y0Z3F1Is/N9Q4P6300IZirZL/q01IoFKeQJ5Y70+a2vwN8A/hZ4B8C88AfA/5AethfBs7Oz8//CeA/Bn7fF3K2T6CUNXlrusRY3iKMErY6HnECGhoa4EcJuhAUbZ1i1sTQNHp+iBvGXF9u8XC7pxouFAqF4itiLG9zZTwPwP3tnvJpVygUXwhPrPwuLCy8D+SfcEwf+A9f1Ek9D7PlDI1+juvLEUGaAE+WMpiahiGgH8YIoTGZt1nreJiJwI9iDE3wsN6n0Q+YH8+TMfWveikKhULxyjFRsEmShFubXe7VemhCMF3KfNWnpVAoThEndsjFUQghuDpR4MKIQwIgoNb1CeIEXdPIGhq9IKbhBlyoZjE0DUvXEPJQmm7I+0tNNtqqGU6hUCi+CiaLGS6N5gC4s9VlreV+xWekUChOE6cu+QUwdY3Xp4qcqWRpuiG6EDR7Af0gwjI08paOG8YsNz2ujOfImtqwEc/SNaI44eZGh5vrbTV6U6FQKL4CpksZLozIprdbm13WVUFCoVC8IE5l8gtS/zs/nme2lGWj46Hr0PMjmm5I1tIpZQy8KObOVpfLozkqWZMECKKYvKWjARsdn/cXm2z3/K96OQqFQnEieFDr0XbDF/JYs+Us51PXh1sbHWVPqVAoXginNvkFqf89W80ykrPZ6PgIkRBGMZsdn7xtUHVMgijhs/UOMyWbM+UsCdDxIxxbJ2fpeFHMp6ttbm10CNX8eYVCoTiStZbLo0afDxfrdLwXkwDPVbKcrcjYfHNdJcAKheL5OdXJrxCC+fE8MyUbU9No9mUwjuOE5aZLwTYYz1tEccLn6x1yts7rkwUMTdDxIsI4ZiJvowlYa3t8sNig2Q++4lUpFArFy8l4wWYkZxFECR+vtF5YAny26gyLEyoBVigUz8upTn5B6n+vTRSYKWfo+hG9IEITkCQJD+t9CrbBTClDnMCN9Q5uGPG12RJ5W8cLEza7HtPFDLlUJ3x9pcW9WpdYWaIpFArFHjQhuDaRZyxvE8YyAX5REohzI3sTYNWUrFAonpWXOvm9td7h3/tbH/D+g9pzPU4pa3JpNMeZcpb1tocXxdiGXPrdWo+8bQx1ZXe3eqy1PN6ZKTFZsIkTWGq65GydmWIGASw1XD5car6wqoZCoVCcFjQheGO6yEjOIowTPll9wQlwKoFY2OioJjiFQvFMHHu88VfBX/mFe6y3ff7Y//Yp/8EPnuVHrow903hkkI0TbS8kiGOWGi7nqg6ljEHHj7i10eHaZIErYzlub3Z51OjjRzGXx3IUMwZ3trpstH3yts78eI6H9T5dP+LDpSZnKlnmKlm0ZzwvhUKheJHMz89fBP4M8AEwC9QWFhb+9L5jMsBfBJaBy8CfW1hYuPWizkHTZAX45nqHra7Px6st3pwqvJApmueqDgJ4WO+zsNEhSRImi8oHWKFQHJ+XuvL7J37TJUZyJm4Q81d/6QH/83cXn6vaenlMbseN5CxWmi5dP6KUNdJttDa2ofHaZAFdCNbaHp+vtRnL27wzUyJranS8iDtbPc5WHKZLGRJkAP5oWVWBFQrFS0MV+F8WFhb+wsLCwh8Cfnc6qXM3fxh4tLCw8GeBvwT8+Is+CU0Irk7kGUv7Kj5ZbdNyX0zPxNmqw7nqjg2a8gFWKBRPw0ud/E6UHP78b3+NuWoWN4z5yc83+PHvPOTOZueZxhAbmuC1yQIjOQvb0NjseHS8iKpjEifw+VoHQxO8OS2b3mq9gE9XW2QMjXdnSsNtvJsbHTQBb0wWsA2ZFH+03OThdk9pgRUKxVfKwsLCdxcWFv7hri9pQHffYT8KfDs9/hPg7fn5+eKLPhdNCK6O54eNxZ+stl9Y0/CZyi4bNJUAKxSKp+Cllj0ATJay/IkffY0/+1Ofs9jo871HDfpBxDfOVvn+sxUc6+nGEGdNnfnxPFEk5Q/NfoChwahjstUL+HStzdvTRd6eKfLpSpumG/LRcos3pgq8NpFnqeHyYLvHUsOlZYe8PllgteWy2vJ4WO+z1fWZH8+Tt1/6p1ahUJxy5ufnfwfw0wsLCzf3fWscaO/6vJV+rbX7oFIp+0xSM13XKJed4ec/UHb4fLXFWsvjQdvnrVKWimM99ePup1x2KJay3NnosNwLyRdgtuI8+Qefg/1rO02c5rXB6V6fWtvTcSIytNemivzb783yv364wnKzz+2NLn6YsNFx+YGzVc5Uni5Aj+YszlQc4gQWG31sQ8PWNUZyJrVuwCerLd6ckgnwZ2ttur6s7L4+WWSukqWYMbi50aHlhXy80uLKWI6xnM2tzc5QCzxXznKmqrTACoXiq2F+fv5HgB9BShz2swEUdn1eTL+2h2az/0y/u1x2aDR6e742nTXotD3W2y7/8qbLa5MFqi8gAS5pMJHRuVfr8cE9j8ZIn9ly9rkf9ygOW9tp4TSvDU73+tTaDjI2Vjjyey+17GE3P3C2wq+fH2Ou6pCQsNVxubHW4Z/f2uRXHjbo+k+nuZXDLyymSxnWWh4NN0QTgpF08MUnqy2iJOHt6SKVrImf+lZudX1KWZOvz+7IID5PmzrenS0NtcCPGn0+XGq+sC5nhUKhOC7z8/M/Cvxm4A8Bk/Pz89+cn5+v7pI2/BTwzfTYN4HrCwsLrcMf7cUghODKeI6pop3KzNpsvSC/3tlylkujOQDu1Xo82D6dSYBCoXgxnJjkVwjBb5wf4+uzJcbyNkkiCKKY5XqfD5Ya/NydLR7V+8fW3Iq0GaNgG4zlLdZbHpsdH8fSh5PfPl5p4UUxr08VmCjYREnCjbU2y80+hq7x+mSBi6MOmoCVlsvHKy1mShneni6SNbVhxfherUukpsMpFIovgbS57e8A3wB+FviHwDzwx4A/kB72l4Gz8/PzfwL4j4Hf92WcmxCCy2P5Pd7qL8qubLqUYX48jwAe1fvc3dovc1YoFArJiZA9DDB1jd/62gQ9P+LWZpcgSshnNFr9gLubCW034uKIw9WJAoXMk5dm6tLd4fpyiyBK2O76AFwadUgSqPcDPllp8dZ0ifnxPBlD42G9z92tHm4Qc2HEYaaUpWib3FiX8ogPlppcHs3xtdkyD+s9lhsuSw2XWtfnylieUvb5rX4UCoXiKBYWFt4H8k84pg/8h1/OGR3k4mgOXRM8Su3KojhhuvT8dmUTBRtdwM2NDstNlyhOuDyWe2aLTIVCcTo5MZXfAcWMyW+5Ns7ZioOmaXhBnDaXJWx1PD5ZbfOdB9vc3eoSHqPamrcNroznKGQMNAEdL+TuVo/Jok05lTt8stKiH0ScrTrMj+fRBCw3XW6sy6BdyBh8bbY0tPS5udHh7laXsxWHd2ZK5CydfiCnw93ZPN55KRQKxWnmXNXhwohsYrmz1WWp8Wz64v2M5m1e32VZeXOjo1x4FArFHk5c8gswXcryrUsjzJYzBHFC34/IWQYZQyNOYu7Veny80uL9xQbbPf+JjzeWtzlTyVJ2LLwgxg0jbm10OVvJUsoYeFHMx8syAZ4o2LwxWcTQBFtdn09WWgRRjJGOUb48lkMTsNb2+HCpiRDw7myJM+UsAimPeP9Rg63uk89LoVAoTjOz5SyXx168VrfiWLwxVUDXBJsdnxtrbSU9UygUQ05k8gtwdSLP958tM1Gw6QYRXhhjGRo5Sydn6dR7Prc2Ony01OTmepsgih/7eGcrsgFuJG/RdiP8KObGeptLo7kDCXDZMXl7pohtaLS8kA+XmsOGu6liZljt7QVS87vSdDlbzfLubImiLR/r87U2n6218YLoy3i6FAqF4qVkqnhQq/ssPu77KWVN3poqDj3bP1trq103hUIBnODkVwjBu7Nl3pgqUHVMtns+cZwQxTLoZU0dx5L2N/dqPb632HhsY4UQgvnxPDlLZyRn0ugHeGHMjfUO8+P5nQQ4lUDkLIN3ZkrkbR03jPlouTWsMudt+b3pomzquFfr8clqG1PXeHumyMVRB10T1Lo+37m/zUrTfSHBXqFQKE4iEwWbaxM7krJbG90XIlUoZAzenili6YJG2sPxpEKIQqE4/ZzY5BfkxLZvnqtyaVRqdtc6Hpau0fZCRvMWcZwwU8qw1fVZrPe5sd7mk5UW7hHVVkMTvD5ZwDI0ylmDlhvSCyIWNjpcmyzIBDiUFeCeH2EbGm9PlxjNSa3vZ6vtoW5N1wSXxnK8PlnATAPv+4sNar2AmVKW9+bKQ6u0O1tdri+3ntquTaFQKE4Lu7W66x05Xv5FSBVylsHbMyUyhrw2fLTcPPIaoFAoXg1OdPILkDF1fvDCCHNlB8fSWW655CyDei9gLC+Ty8mCTcbQeFTvs9Z2eX+xyeIRtmgZU+e1iQKGpuGYOj0vpOmG3Nns8togAY5iPl6RUgddE1ybyHOmkiVBVnlvb+40WIzkLL4+W6bqmNITeK3NrY3OMNF+c6aIrUv5xAeLTR7U1IhkhULxalJxLN6aLmLqgu3ei6vUZk19b/PxcouOp4oNCsWryolPfgHKWZMfPF9hPG9jaIKlRo9CRme7F1DIGAhk8JstZah1fDY6HvdqXT5cah46Z76UNbk8lsM0NHRd4AURW12f+7Ueb0wVhy4QH6/IACqE4FzV4WrqBLHa8vYEbcvY6wm81vb4YKlBxwsZL2T4+pyUSAyGY7y/2KDRO3heCoVCcdopZAzeni4NeyquLx+9W/c0WIbG29PFPRK2xiHxX6FQnH5ORfILMFnM8N5ceTgvfqnuUswYtN0QQ9cwdA0hBFOlDLahsd72aPQDrq+0WNjoHKguTBYzzJQy2IYOAoIoYq3tsVjv8/pkYc8gjMEUt/GCzdvTJSxd0HTl9lrPl0FbCMFMKbun+vDhUpOHte5QIvH2dHH4vY9XW9xcb+OFSp+mUChODjfXWrjPKeFyLH1P4/D1VGr2vBi6xpvTRUZTydmnqy3lvKNQvIKcmuQXpHH6m1MF8rZBlMBi3SVn6QRRjEDqcA1do5gxmCjYtNyQlhuw3vb47qMGa629jWcXRhxGcha2oZMkgiiOedTos9qSc+kHmt2PV1u0XFlBKGQM3p0tk7dlEvvRcpP6Lru1YTNcOgb5zmZ32ERXypq8O1viXFVWiDc6Pt9bbLDc7KuGOIVC8dLz+WqLv/m9Zf7Sv7jDRtt9rsey91VqP1puDuPs86AJKVUbjFm+sdZmrfV856pQKE4Wpyr5FULw+lSRaxMFbEMjThJWmn1MXUMIIEmI4gRDExRsnZGcRcbQaaXODrfSRHSgBRNCcHVcjkC2DI0EQZwk3Kv12Oz4XJvIDwdbfLLaHm6h7W6Ek9WF9h4Dd10TXBrN8caUPM+mK/W+K00XTQjOVNKGOMckihPubvX4YOnFBH6FQqH4oshaGhlTY63Z52/86hIfLTefa/fK0DXemCoykvZMfLLSPpZ3+5MYjFk+m/Zq3Nrs8qj+YoZsKBSKl59TlfyCdGx4e6bE5dEcCIgTWG+5JICmCUxN4EcJbpgwUbDImjrFrIkfxnhhRNOVvr33anISm542ptmGhqEJZA6dcGujQ70XcHU8z3h+x+1hoNUdNsKVdxrhbq7v7V6uOhY/cL4qfz6Rrg+frLTwwpiMqfP6VJHX0t/d9SM+Wm5x6xCJhkKhULwMnB/J8/u/eY7JUoZ63+df3NrkF+/WeHREg/Fx0DXBa5MFJgo2USLj7OoLqtSerTrDIRsPtmWzstplUyhOP6cu+QVZeX1ntsTFkRx+KAPZVscfGpznLY0wTtho+0wWbYq2QdbSMTRBFCdEScJSw+X9xQZbHQ/L0IbTgoQQ6EKQADfW2zTdkPnx/DAwf7q2oyETQnBuxOG1iTy6EGx0/AM2O6aucXWiwLWJPIYmqKeWaBupJ/FozuK9uTJnytlhs9z3Fg9KNBQKheJlYKJo83u/cZZLozl6XsQnqy0+XZUTN2vPqK8d+LAPigm3N7s8qL2YaXBTxQyvTew0K6thGArF6edUJr8gtbVvzxQ5N+LQ8kI0AY1egB/F+FHCWM4iQRqqZy2NM5UshqbJBBeBIMELYz5f7/DJSguB4LUJOYUoBkxNECfw2Vqbrh9xZSzHdClzqIZsNG/zzmyRrCkruB8uNw+4OYzlbb6eSh3COOHmRofP1+RkOl2TSfTXZsuUs7LR7tZmV9n1KBSKl5KZisOvuzLGxbEcGnJy20pTJpafrsoeh2fh3IjDlbGcnAbX6HNzvf1CrCFH8/Yei7XrzynXUCgULzenNvmFnfnu56oOW10fXRO0vRA/Smi4AWfKGWmo3vap9wJem5QT3oSAJAFL19AEw2psvR9wfsQBIIhjbENWij9eadELIi6N5oZ+v7c2u3t0vjnL4N2Z0tAl4pPV1p7vg6xYvz5V5MpYDl0TbHV9WX1OqyWOpfPWdJGr43ksXQxHK9/Z6hIqKYRCoXiJOFd1+NpsielyFl2AH0bUuj7bPRlP79d6z1RhnSxmeD3didvo+Hyy0noh8a+YMXlnpjQsUny01FTFBYXilHKqk1+QgfLKWJ65Spa1loshBG4QEUQJyy2Pc9Usdjr559Zml/MjDnPlLEII/LTqWrB1EmCp4bLU6ONYOiTghwkZQ6SNGNKK51zV4UKaIN+r9fZszRm69PvdrQP+bKV5YIrRZDHD12dLlDIGfiQHYyysd4YBfrxg895cmZlSBoCVpst3FxusKimEQqF4ibgynufKWI6xvE3Xj8hbOl4QEcYJi40+7z+SEq+njVtVx+LtaTkgSNpKvhgv4MEwjIHDxPWV1h63HoVCcTp46ZPfX3mw/dyPcbaa5XzVYbqUZanpIoAwjonihPvbPc5UslRSOcFnq20MTQw9JoMooe1FVLImeVPHjxJ6fkSjH9APIsIYHFPDj5Lh6OTZcpb58fxwa+7OZncY3PfrgNda3qHjNjOmrPJeGJG2Z+sdqfUdVIENXePiaI530yQ5iBJub3b5cPnwwR0KhULxZaMJ2aw2U84wmrfZ7PhYhkbW0MmaOl4Uc3Ojw0fLraeOWwNp28AL+KPl5tBz/XkwUy/ggZPPp6vKCk2hOG281MnvX/+l+/xnP32LP/L3Pqb/HKbpQgiujMvq72TBZrHRhziR+t1Eeu2O5syhZOH+do9HjT5vThc5U84ikNKHMEmYLmawdEExa7Le9nhU7+GGMY6pDacGeWHMRMHm2mQBTcBKy2Vho7NHmzbQATuWTteP+GCpecDCRwjBbDnL12bLe6rAN9fbQ8cHeQEocW0ij21odLyI6ytqQIZCoXg5MFO7sqpjUs2Z1Lo+XhRDknCmIuNp2wu5vtLixnr7qSq4GVPn7em9UzdfxNAKLbW5nC1nhjK2B7We2llTKE4JL3XyW099bX/lXo3/6H//lI+W6s/c3DCoQEyXM4zlbR42XMI4wdalc8PtrR6akLZmhiaodX2uLzcZK1jDKrAbxqy0XKqOxWwpw5lKFjeI+XytzVbHJ2touGHMxytN/DBmNGfxxlRxqE37fG2v1VnOMnjvbIVq2uT26Wr70AA70PpeHHWGrhHfW2yw2fGGx4zlpRTiTCW7MyDjUeO5LIYUCoXiRZA1dV6flAOIShmTjhfSD2NWWx6XUxcHTcBmGtsePIUeWHoB71ihfb7WPtBP8SwIIbgwkuPS6E6D3Y31zgGZmkKhOHm81MnvH/0NV/hdX5vGMjUW6y7/zc/f42+/v8j6M25BGZrgjckik0WbEcdksdGnH8YUbAOQPo/1fsA7Mztjhj9aauGGEe/OloZV4LW2R70fMD+e5+1pmdze3+5zt9YlimP6Qcwnqy2CKKacNXlraqeL+JOV1h6fXjPVAZ+rOsMA+8lqG39f1XYwHvnrc6Wh48ON9Q6fre1UeHVNcK7q8N5cmdGc9A5+sN3je48aaoSnQqH4SillTa6O5zENjaypkySJjGNrbbKWzntzZcbzFnEi4+D3HtWPbemopVZo56o7/Rb7d9uelenSToPdVtfn/Ud1taumUJxwXurkF+D3fN8Z/uC3LjLimNS6AT99s8b/73uL/NLdGt1nkEJYhsabU0XGCzaljMFy06XlBow4ppQoNF0e1fu8NV1kIi8rCTfWO9yv9ThTzQ6rwP1AToTLZwx+/ZVRHFOj3gtZbPRZb/Vlorsqu5ALGYO3p0tkDI2WF/LRcnOP1Y9Ip7q9OVXE0gWNfsCHS4drdwda4MupI0QtdYRYb3t7jnltssBbU8VhxfrztTafrLSe6TlTKBSKF8Fo3pY7WJpACMhZOnECCxsd1loe8+N53pkpUrSlzOvWZpcPlg5aQx7FmUp22E+x3vYOFBuelapj8c5MkYyh0XZDPlp6MfpihULx1fDSJ78A/+d3Z/m335vlXNWh5wd8utLmny1s8g+ur3Jjl/71uGRMnTemiozmbRxTZ63lUesFjOfsoUTh5nqHi2Nyy0sT0g/4+nILUxeyCpzKC1ZbHustn29dHmG6aNMPpI/wYr3H7TRwB1GMY+m8vStxvn5Ic0bZMXk31fcO9MNHbd9NpY4QA8nEwkaHT1f3djzLxytxcdQZDtD4YLHJ7c3OgcqyQqFQfBnMlLLMlbOAwA1ipor2HllBzjJ4Z7bE1fH8cLrlx6stPltrH8sfeDRv8/bMjhPEh0vNF3LTn7MM3p0tUXHM1AmiuUd6plAoTg4nIvkF+E1Xx/ntb0xyYdRBCFhtudxYa/MvFjb5Zzc3WW4+nbY1bxu8PllgLG9hGRqbHY+1jsd00cbUZaJ4fbnJSM7ireni0A5NNqYFnKs6vDtbomjLRPVh3WWimOFCVepyHVOnk1Z5/8WtTbwwwjY03p4pUdnVnFHbFzxtQ3YaDxot7tV6fL7WPtTHcpDEz4/L6XDSP7PJUqM/3CrUUrnE950pM1W0AZmwf3exwaLSAysUiq+Ac9XscGet1vW5lFaDt7r+sGl4YOl4ruoMd7m+96jBna3uE2/e87ZMoAu2gRvGfLTcOtBQ/CyYusY7s2UmC7YcaLTe4cG2aoRTKE4aJyb5FULwG+bH+HWXx5hNmyP8KB6Oo/yZW1t85379qcZnlrMmVycKjOYsQAbXxYbLVDGzY3S+3ETXBF+fLQ2nr32+1ubuVpesqfP2THG4jedHMWGS4Fg6FcdkupiReuBan793fUX6DGuC16cKw8B/fbl5wEZHSxstXpvc0Zl9uHy04fpEQU6HG8tLne+9Wu/A8aaucXksz9fmZLV4YPP23Uc7o5QVCoXiy0AIweXx3LAQsNR0eX0yL2UFnpQVtNwAXZOSsO+bkwlnwo6v+aN6/7HNZ7ah8dYuy7LPVl9MI5ymSfegCyNpn0a9z80N1QinUJwkTkzyCzIp/A1XxvjmuSpTpSxRnGDpgjCOWW72ub7S5OfvbPHhUuPYk3lGcxaXx3KMpY0W9Z7Po3qfiVQT7KVVg44X8fpUcRjwBjIIL4xlI1qaHOcsAyEEa20PQ9f4+myZQkan1Y/4xzc2+HCxQc+PmJ9I59Qn0kbnUf1gUB7NWXxtdkcq8dFyk+Xm4cHbNjSuTRR4fbIwtDz7cKnJ3a3unq7pnGXwxlSRN6cK5CwdL0x9No/QGCsUCsUXgSYE1yYL5G0Z3+7Verw5Xdwj+xoUBixD48p4nq/PyTgbxTvNvI8b7qNrgmsTBc5WdgYLvahGuNlydtgIt9nxub5y0K9doVC8nJyo5Bekrc1vnB/j67MlRvMWvSBCAAXbxA1jlpsuHy61+KV7NW4e0zNyspjhwogzTICb/YAH232qjjWsGnyyKgPxbDkr9WS7ZBBbXZ+MqfP6VJFrE3nG8halrMndrS53t7r8KxeqnKtmCaKYD5dbfPdhnVsbHaZKGeYn8oB0mrh1SFAeTByaKspttrtbPT47QgYBMJKz+Pqu6W/LTZf3FxsHtvwqjkysr4zlhqOSn8VnU6FQKJ6VgQNP1pQ37Lc2OtKSspghTgsDd7a6w7iYswxenyry1nSRQio5u73Z5f3F5mMdbc5WHa7taoQbFC6el92NcB0v4sPl4zfnKRSKrw7xZWqVNjfbz/TLymWHRqO352tuEPHPFzb5fL1Nyw0ZyZmUMiZRlIAGYZRQcSymijZzlSxnylkM/fG5/qN6nwfbPWpdH1MXFDMmF6pZ/DhhqSErEGcrWc5WHcIoZmGzO5RZzJQynB9x0IQgjGQV49PVFuttn4yp8c3zFRq9gIf1Pj0v4mw1i23oXJ0rE7oBtzc7xImUYrw2kT/0XLc6Hrc2ZSXXNjSujucpZc0j19PxQm5tduh4Mpkdy1tcHMlhGXsfO4wTlup9lpsuUZKgCWnvc5zn7HEc9nc7TZzm9am1HWRsrCC+gNN5qXmWmL3WcrkwXabXOb4lpRtEMiGNYkYck2uTBTbaXpr4Qilj8NpkAXNfPNrseNyvyUFDII87P+JQzBweFzteOLSHtHRZFX5cDD2Mw14/YRRzY71DvR8ggPMjDrPl7FM97svAaX7fw+len1rbQR4Xs5+Y/M7Pz08CfwZ4e2Fh4fsO+f63gP8GaKRf+qmFhYW/cNhjvcjkF6AfRPyLW5ssrMsEb6JgkTV1MqZOP4jQNYEbxkwWbEZyFmcqWaZLGTRx9DXsQU1Od2v0AgxdkLeNdMSw4O5WlwSpsb08lkMTgqVGn/u1HgmQt3WuTRTImjoAjV7AL97bYqnhIQS8NVVECOj6Ec1+QNkxKRez+K5PNbVyC+MEx9R5Y6pAJn2c3bhBxM31Di0vRCArGnPlDOKINSVJwnLT5eF2nyhJMDTB+RGHyYJ94GfcIOLhdp/1tAnPSPV2T3rOjuI0vxnhdK9Pre0gKvl9MltdOcxnpJzlTM6ikDGO/bNdP+TjlRZBlDCet5gfz9NyQ26st/EjecM/GJSxmzhJWG1Ji8ogkqc7mrM4P+IMY/FugjRRbaSJ6sXRHNPpTtlxOOr1kyQJD7f7PEp1xeN5i8tjeXTt5LxsTvP7Hk73+tTaDvK4mH2cst4PAf8QeNw7+A8vLCx8K/13aOL7RZA1dX7d5TGuTuQpZQ1qXZ8EcMOIsYKFrglGHJPtns/drS431jt871HjsfY050YcpksZyo5JHCf0/JB76bSh1yYLw22zT1el9GAggxhse32wuNPAVnZMfvT1Sd6YKgDwyaqcXx8nCWN5C10IsqZGECWst33iJCGIYnp+yIfLj/H5nSkyV5YatgfbPT5ZPXqU8WBE8tfndmzRbm92ub7cOqCLzpg68xN53p0pUcoYhLFsnvvuo8axzeYVCsWrS8E2KNoGbiCtwPY38z6OnGXwxuTORMw7W11KWWn/WLBl/8X15daB+L3jaFPhTDmLLmST8PceNbi92TkQG01d482pwtBR585W94XogIUQnBtxhj7DGx2fj5aVDliheBl5YvK7sLDw94D2Ew77PfPz839kfn7+T8/Pz8+9mFM7Ho6l82svjXJ5LEcxa7Le9jA1QbMXMuKYGJqUL1SyJkuNPouNPp+ttflwqUnjiAavi2lltJiVyWLfj3iw3aPthrw1vWsQxXKTnh9RzJh8bbbEeOq2cGuzO7Qn04Tghy5U+cHzFRxL52G9P3Sp8KOYOJFbZI4pzd41Idjs+jTSIRmHOTFoQlZv35wqDM/lg6WDut7dDGzRrk3ksXU5bOPDpSZ3troH9MOFjMHbMyXe2NUUNzCbfxo3DYVC8WphGxpvzRSZKWeHml0p6TpeYlnISAvKgYf6g1ovtYgsDscX31jvcK/WPXAzbmgy+XzvjHSGgNTW8VGdu1vdPX7wg9HFV8dfvA54NG/zzmxx6Bj04XKT+guwWVMoFC+OY2l+U2nDX1xYWHjvkO+NA87CwsKD+fn514G/D7y2sLBwIIr4fpgctT3/OHRdI3rCIIu2G/Avbm5wd7NLP4g4U8lg6lIC4Vg6LTckZ8lgVO8FjBVsihmTas7i0liOwj6NWJIkfL7aYq3l0XYDTF0jY+rMVbLMVbJ8nFZOTV3w+nSJkZwFwGrT5dZ6e6jLfX26SMWxho+3sN5mrekxXc6w0fZwLIPZcoavn6nQ9kLubXVxg4iVhosfxUwWM7w+XeT8aO7QdXthzOerLbbTpHSukuXiE7bawijm/laXxUafJJGd1JfG8kwdsvWXJAlrLY97Wx3cQP4NylmTi2M5yo712L/Jcf5uJ5nTvD61toOYpn5y9q9fEM8jVbv5aHuo2S3YBtcm8odKuQ6jlsonEuB81WGuIvWzu2VmpYzBtYnCgR6GAT0/4mG9x2ZHxkZdE8yUMsyWMnt6GfbrgK9OFCg/Rgd83C3YMJJOOtu9k6MDPs1b53C616fWdpDn0vzC45PfQ45dA35gYWHh4f7vvWjN736a/YB/eX+bh9t9gihiLG9TyhqEEZSyBl4Qg5DbXtu9AD+Ux1iGxlje4mzFwbF2gnOcVhlqXZ+eH6FrYBs6E+mIzlubXba6/gHd2G5dLsCZcpYz1SwCOcZzteVR6/rkLJ1ODI1Wn5lylh+6UCVnyZHLi40+G22P9bY3bPZ4c7p4qPY2SWRD3sN6jzgBx9S5OpE/oI3bT8cLubvVpZlOmitlDC6O5g79uThJWEnPa6CrG8lZnK/ufc6e5e92UjnN61NrO4jS/B6fwXO8O7E0dcG18QJl53gNZhttj5sbHQAujjrMlGTi2OgH3BzogHUtlb09vvH3wXaP7dSFwdAEc2XZyzAoEuzXAZ/blXAftbbjsF8HPJKzmB/LPVcj8RfJaX7fw+len1rbQZ5X83uA+fn53Pz8/Fj68R+bn5+vph9XAQtYf5bHfV5KWZMfPF/lbDWLZeg03ZB6LyBna3T8CNPQsA0NSBjNm0wWbRr9gK2OTDLfX2xwa6Mz1GhpQnBtIs9IzsKxdJIE/DBmveOxsNllfjwnvXqRurE7m9KSZ6DLPZPe5T9q9Lm+3MINY+bH80wWbcYLdlpxzZG1DB5u9/nJT9dZb7ucqWT5/jNl3pyWj9HyQr79oM4/+myd1iHz5IUQzFWyvDNTwjF1eoEczrFY7z9Wp5u3pbxhfjyPpYvhKND93sCD52K2LM3mB7q6WtcfPmcvYrtQoVCcLvK2wddm5VTLIJKWkccdNDGeNhaDtHhcHfRSZI8/Bn5wDm9MFXk79RAOhwN+6qw0XeIkGeqAB70U97cfbyl5XIY64MkCRjql7oOlowcWKRSKL4fjuD38WuD3Ar8F+GvAfwX8e8CbCwsL//78/PzvAn4b8DnwGvB3FhYW/o/DHuuLrvwOaPQCfuVRnQfbPQxNkDE0ptOhGLom0DWBACxD4IWyyazZD7ANjULGRBMwVcxwppLF1LU9FWA/jBBCYOqatCWbLLDd9bl1hFVZox+wkCaHuia4OOIwUbC5sd5hq+tTKtg4IuGDxRbbvQBNwHtnyrw9XcTQNdwg4sZah/eXGgRRgmUIvu9MmWsTB21/gOHktpWmvFCUMgbz40/ebgyjmAfbfWkYD9i6xvkRh/FUO7cfL4x5VO+x1vJIYPiczZWzw23I03wnCqd7fWptB1GV3+Oz/zneXwEdzVlcOWYFdLnZ5+6WfKwrYzkmi3KHLU7koIuBDeVY6q5gPMFdod7zub/dG1pAZgyNs1WH8byFSG/qFzY6hHFCxtB4bZ/DxLO+fvpBxI31Nh0vQhNyt3CqeHyXiS+D0/y+h9O9PrW2gzy37OFF8WUlvyCTzu89anC/1sUydExdDrPQhcDQBOnOPQXbIIxi+mGMH8a4YYRt6NiGhq4JZksZZtJxyoMEOIxihABd0yjaBm9MFegFEZ+vya24rKnx+mRxKAcIo5jbW92h9mwkZ3FxxOFerUcfgdf3uTae44PlFrc3uiDgTCXLu7OloSVZo+/z83dqrDSlbdpsOcObU7Kx5LBgv93zubXRwY9kwn95NHdkIrubjhdyZ7M7lGw8TgoBMqA/2N6lqxOC6VKGuXKG0ZH8qX0zggo2JxWV/B6fFx2zt9LEMoplnLw2cdC67DCWGn3u1eTjzY/nmdgVy7bSnbgotYm8NpknZz35Mbc6Hg/rfbq+TIIdU+dsNctozpK9FEckqs/z3oiThLtbXVZbspF5Im9zaSz30tihneb3PZzu9am1HeSVTH6BoQvCva0etiGwdY2RvI2pC/KWQS+IiBPIGholx2CzExDFCV4YQQKmoaEJgalLjdhEweZWOtgijhOEkNtaOUs6KSRJwmdrbbq+9BieH88zmttpCltve0NJganLKrArdB6stzA0wZtTRR7Ve3xvsUHPj5ko2pyrZrk4kqOUNYmThE9XWny80qLtRYzkTGbLGc5UHKaKmQMBNIji4fmC9J28NPrkakuSJKy3Pe5v94b63smCzfkR59BqM8ik+WG9P/xduiZ4ba5CQSQvrb7teVHB5mSikt/j80XE7H5aKOj6MrG8MHI8n93Fep/72z0EMgHefTPf82VVtetH6EJweex4N/tJkrDR8Xm4vTMoI2fpnKlkqTom92q9A4nqSDX33O+N9bbHnc0uUZKQs6Q//FG9E18mp/l9D6d7fWptB3llk1+QTXAfLje5X+th64KsqZPPmNiGRjlj4IYxbhjLbftChiCO2UirmIMKryYEQggsXVY1W27Idi8gSVLzYyEtft6cKmIZGrc3O8NK6JlKlrOV7HCghBtE3N7sUk9t1s5PFqk3ejTcEF0TvDFZoO2FfLTUZK3lUcwaTBRsJgsZzo042IbGWsvl+nKLtbab+vhmyJkGc5Usk0X7QFPcWsvl7laPKJENIpfHc1Sf4NQwWP/Dep+VppRCHGfoRduVzSX1fkAuZ+P1/QPNJacFFWxOJir5PT5fVMzeXwE9rmTh4XaPh/U+Arg6kWcsv5PgRnHC7c3OMH5PFmwujh6vqhonCRttWQn29iXBUZwM42fO0vnGlXGC/vNbl3X9kBtrHXrB0yXsXySn+X0Pp3t9am0HeaWTX5AJ8PU0ATbSpNcyNGxDp2AbZExtmKwWbIPJgs1q2x1qwpJ05G+SzvkwNYGfNkII5FZ/hEwOX5+U4zIX01HJCTDimMyP7+iAkyRhtSXHcmYcC7/vo2nghQm6kI/hRzE31ttsdnzCWFqemZrGmUqWmXKGdjr5aLsXUO/7jOVsMqZOxpDHjBf2JsH9IGJhlwPFZMHmwmjuiRcbkFWVe7XusFvaMXUujDqPTaAb/YCaH7O8Jbu1LV02zD3rtLiXERVsTiYq+T0+X3TM3mh73N7qPpUM4sF2j0dpAnxtsrBndw1gteVyN7VYy1nS+eY4Mgg4OgkezVlstD36YUyxkGEyow+1x89DGCfc2ZWwTxVtLox8dTKI0/y+h9O9PrW2g7zyyS9Ayw24vtziwXYPIQRjORNdaFimhq1rTBZt1toeXloFPlPOYuqCR3UXL010LV0jSRKCOCFOEjbbPpYhKGdNLF0jiGWSfHVCBuR6z+fGumycyJqycWJ3EO4HEcu9kJWtDkmS4IdSDmHogtcmCwjg8zXpPtENIgq2ga7JqXDnqw552xjq0jpeiKVrw2azw5Lg/ZZotqExP5Y/tvXQYFJeP/X7rTomF0dzh44QBfl3u7/S4MF2n3aadNu6xpmqlJCc9CRYBZuTyauQ/L6osfRfRszeLVk4biPY/VqPxcbhFWCQMqyb67Kqqgm4NJp7qmQ1TqVfj3YlwRlDI44TzIxJt+dLGdkxqtXHYaXpcq/WfSqryi+C0/y+h9O9PrW2g6jkN6XlBnyy0uJRvU8YJ0wXMwgBhq6hCThbcegHEWvpVLWibXBhNMd212ep2U8nsEnrnCCM6QURK02Xrh8xnreYKNp4oawPXxqTAdwNor064LEco7sCdamU5ZMH2zzc7hEnCds9X0ozbIOrEwVsXePTNTnvniTBMjT8VIdbyhicrTistV1ZOUgSsqaejnjeCdj7k+CuH7Kw0RlWtqeLUlJxnCA+8Pt9WO8TxXKtM+UMZ8rZA9re3X+3WtfnwXZv2FxiGxpz5cNlGicFFWxOJq9I8vs7AQ/4k0cMJ/oWwMLCws897nGeJWY/qvV46+LoUz3HUlrQHcbe4ySWuxPg/RrgwWPe2eqy/hSPuZ/DkmDD0mm0PfKWTtbSuTpeoJB5/kR1f8J+XC30i+Q0v+/hdK9Pre0gJzb5df2Av/XBMn/wN1yh03kx4yE7Xsinqy2WGjJpnStnMHWNwYlN5G1GciZ3t3p4kawCn6s6jDgmD+r9oTzC0gWljEHHC7m33We7G2DpgnNVmQQKIfWx56rOAS3amXKWs1WpA95tBr+w0aHrR0M/y4mCzeupzc4nK9InOGNojOYs1jvesBltIm3iW061uUVbZzQnK9m9YMfOZ3cSHKdV4EdpFThjaFwZzz92stFu/DDmwXZveLEydbneqeKOrOEwu6Otrs+jXR3Wtq4xW8ns+bmTggo2J5NXIfmFJ07m/Bbwe4AbQBH4fy8sLCzuP+5pY/atjTZ/6h8vcHmiwP/tB+aYrThPdc4bbY/baSNYxpADLIqZo2PSQAIBe23QdrO7uexpHCZ2szsJNmyT7WaPrY5P3jYoZ03OjzjMlDI8ywTT3ey/Cfiyh2Kc5vc9nO71qbUd5MQmv3/mp2/y7QcNpstZ/v1vzvG1ucpzBxeQcoOPV1qstVzqvYAz1SxZQyeMExKkxuvKWI6VljesGpQyBlfG8/hhzL1ab7iNn7d0ylmTz9baLDVchIBK1iBr6pSyJlPFDJfGcmhC7BnNWc6aXB3PMz66YwcWJwmPtvssNvqstT1a/YCZUpZ3ZuWI5E9XW3T9CFMXzI/labohy7sq0qWMSdsLCeMES5duE0GU8KjePzIJ3p10A0yXMpyvOsfWnO2fEpc1Nc6P5BjNWUe+YJMkodb199gM2brGTDlzqGvFy4oKNicTlfwefyz9046k/3vfW+T/+8sPSZKEQsbgt789xW9+fZLxwvErmF0v5LPVFm03RAi4MJrjbNU5MvY/qHW5u9kF4OpkgZlDRgh3vZBPV+RIek3AxbE8Z6pPl5gDxLF0h7iz0aYfRKw2XTpuyFhBVpVfmy6lg5Sej/WWy821NmGcYBsab0wXnzhO/kVwmseaw+len1rbQR43kv6lTn7/5q8u8vevrxAlsrL4wxdG+NfemuTcYwLhcXGDiE9WW2y0fTY7HnOVLIWMQRwn+FGCkVqVAdzZ7OJFMboQnK1mmS7aqT1Of6gHHnFM2m7IZ+tt/DChYOv4UUzFsbgw4vD6VBFDEzR6ATc3dkZz/sCVMfD3TvsZJKQPtntstH0qjsE3zlaYrTjcWGtT78thGPPjeQq2wf1dPruChChOhg4Vg4rEZsc/MgkGeFTvy4lw6feuPIUWGKR/5/3ajh64lDF458IoiRcc+TNJklDrBTyq7xjODxrjTkISrBLEk4lKfg899tCx9M8ie/hoscGPf3eR9aaLbWhcm8jz9bkyX5srH9DmHsX+ARZPGtaz2wd49yjk/Y95b6vHSrqzVsmaXBnPP3WyWi47bNe7bKSV4I2Ox0rTRROCyaLNN89VGck9f6LqBhE30yZlgXQOOrPLOeiL4DS/7+F0r0+t7SAntvILcHOtxX/zi/dZqvfR02TuG2cr/CsXqunwiWcPBH4Y88lqi62Oz2rbZbaUpZgxMA2NdlrJPFPOMlOyuVfrs96RVeCCbXB5LEfG1Flq9FluuESJ1L8KYLPr0+gHmJpGL4gQJMxVsvzQxRHyloEXxtxcb9N0Q/J5mzFLZ7a8d8tsIEv4cKnBStPD1ATvnS3z1nRxj0XQ+XQGfbMfcL/Wo+WFJElC2wvRhCBvG3Ka0ngeXXAgCbYNjdlyhslCRjpC7KoCTxZsLow4x95yi5OEtZbHw7r0B87lbHIi4VzVeeKEOVkJ3kmCB97Kk8XMC2ko+SJQweZk8qomv/Pz8zlktXdzfn7+jwF/fWFhYTsdS38HmF5YWHB3P8az9mn0EvjL/+wWt7Y6BGHM2arDbDnLpbEcb08XGcvbx0ri6j05FGNQkLiyr2diN7snwV0Ykb/vMLa6cgDQwG/98lj+gGPE49j9+kmShM2Oz71al4WNLj0/wtDg9cki750tYz2nXGGwGziYjHfciZ3Pyml+38PpXp9a20FOdPILEBs6f+4ffc7HK236YcRYzuLiaI7XJgq8O1dippR95iphGMV8stqm1vVZafWZLGQoZqSOa7PjkyADztWJAl0/5PZmFy+MEcBcOctcJUsYJ3tG/bb6AV4UYWrSAaLRC2Sl1xR882yVy+lEnwfbfbaDmG7XO2CHNqDrh/zKgwa3Njskiaxq/MilEdY7/rDSMVW0uTSaQwjBRjqcwgtjWm5Asx8ylreoOOZQ6zYI2LuTYEsXzJSyTBRt1lreUAts6YJLo0dfcI56TpcaLvUwpt3x0ISUUxzWFLefWqoJHshKzPS8pov2SzcsQwWbk8mrkPy+qLH0z9OkfH+5wf96fYXbGx2abkg5azJRsKnmLM5Wsrw2WThgyXgYfhhze7NDLbVafJx/72rL5XYqgThbyXL2CGmDF8bc2ugM/dafxmLssNdPkiRsdTy+t9Tk4XafJLVZe+9M+dhjnB9HoxewsNGRO5CaHJD0IqzW9nOa3/dwuten1naQE5/8lssOyxst/s4Hy7y/2KTWlY4Ik0WbmXKGCyMOb04VmSodPur3SYRxwudrbWpdj+WGy0jeomibTJVsNts+XhRLne24bL54sN1jpSkLJFlT4/KYbBTr+RH3t3vUuj4tN2Ct5TGWtxhxTNZaHpvdACFkUL42WZANErbJr97eHGq7Xps42Dk8mBz3y/e3iWKoOgbfujyKJgQLGx3iRG7hXZssYGiymW254bLYkJrapUYf29CYLNhcnSgMO4gH2ttHjf6w4mpocpBHJSvXOdDyjuTkdLin2SLM5Gyu36sNK+bHGZIxYLvn82i7P/Ql1jXBdDHDTCkztHP7qlHB5mTyKiS/L4rndehpuyE/+dkadza7dP2QQsbA1DTytkEhY3CmkuXyWI7JwpNlTstN2TPxJDuwtTQBTpA33RdHDpfJJUnCctPlwbZ8zKypHcu54Umvn4f1Ht++v029JzXLU0WbN6YKzJWd54pdQRRzZ6s7lLiN5Cwuj+ZeaDw8ze97ON3rU2s7yKlIfhuNHn4Y8Y8+3+A7D+tsdTwsQyNn6lQci/GCzVwly7WJwjNVCeMk4eZ6h82Ox2rTI5/RKWZM5soZOl40rBDMpU4NHU9WgQcSgamizfmqlAgMJAirbZfFeh9D07gw6uAYOjc3O3S9iImCxUQhw5XZMnYUcTdtonucxc162+WfL2zSciNyts7b00Wmixnu1LpSZmDpvD5ZGG6JBVHMYqPPUqPPStOj0Quo5GSj3euThT3PUb0nK66DZFcXgomChaFrLDddojhB1wQXRhwmC8fbstztZLG7Kc42NM5WpNfvkx6n3vNZbLg00udfEzBZyDBbznxhW3/HRQWbk4lKfo/Pi7Cn7Psh/+TmBrc3u3Q86bAz6KEAQTFrMFPKcK4q+xOOGqEO7GnQHehg5yoH5W9bHY+baWFgIm9zeTx35A33/sc8W3WYKx/t3HCc108UJ1xfbvLZmvRhz9lS2jZXzjJbzh7pjX4c1tsed9LBIFYq23gRGmM43e97ON3rU2s7yKlJfkFWaX/u9hbfebDNZsfHMgWOoaNrgrxtMpKzpAxgLMdMKftUlcokSbhbk1XdrY6PEPLueiJvYZv6sCFsoLuyDI3FunRniBPpWHBxLDfUj211PD5fb7Ow0SWMEkbSxHOlJR/f0DUuThXx+j5jeYsgSoZT1EZz1qHbZW034BfvbbPU6GPqGheqDrOVDNvdgH4YY+mCaxNyytwAN4h4WO9za6MzbPaYLmb4oQsjVPY1tTX7AYuN/vA8NCGryl4Y00kT/YHzxZMC+P4X7H6v35ylc7bqHEtv13IDFhsute6gsU+ORJ2rZI89velFo4LNyUQlv8fnRXmze2HMP7+1yd2tDs1+yJlKhoyh44YxcZzgRclQFjFXllMsj4ovUSyb4ZbT3beCLeOxY+09vt7z+XytQ5QkjDgmVycKR1aX4yThfm3nMR+nrX2a10+t63N9ucVKy6Xnh0wVM5SyJqM5i9ly5rE2bo/DTfszBgWFp5nY+ThO8/seTvf61NoOcqqSX5CB6rsP6/zS/W022h6GrlHOmogEELKyWM6aTBZtzlQc5srZA4HxcTxKRxO33BA/jBnNW5Qysjox8P8duEGM5CypBd7oDrfoR3IWF0dkk5fsWu7yi3e36fkxpiE4X3VIErkODAMjiTA0meTqQtAPIjl+WdeYnzjovesGER8uNbm/3aMXRJytZCllTJKEoTfxYRONun7Iwnqb6ytt3EBKOd6dLfLubPlAVaTjhTyq99nalWwamjy3wVCQgeb5qIrKUdo46ZTRGw7iKNgG56vOsdwlun7IUt1lo+MNvZlHHJO5SvaZLyTPigo2JxOV/B6fFzmYKIhifvFujYWNLm0vpOqYnCln6YcRSSJjTsePqDoyOZwsykrpUTKERi9gYbMznMp5fsRJBxft/JlabsCnq9IyrJQxDux47Wd3g50uBBdGnQPT5p729TPQLK+0PGodjyTdvdI16RU/W85SdcyndnE4TLYxkOY9K6f5fQ+ne31qbQc5dckv7Ohgf+nuNqutPkIIKo5JzpTVBE0TiASKWZPxgsV0KcvcU9xpD3Rj/SCi7YaM5C0cU+fKeI6lhjusjM6UMpwfcRDAaks2m0WxDJxnKrKCoQlBz4/4+TtbPGr00YRgLGfhRTFzo3kiP6RgG3T8kDiRwbLpBmRNnYJtMFfJcnafxY0fxny21ma15bLe9pgq2mRNnTh9hnVNMFOSeuj9QbXe8/n2gzoPt2UH8UjO5AfPVw81ae/5EYuNPhttmWyGcUzfj9CEIGcbZE2NS6M5Kod4UD7uBTtwhnhU7w0n1lVSs/jjGNC7QcRSw2Wt7Q7XXEo1hIedyxeBCjYnE5X8Hp8XPZUzjGXh4pPVFm4QkbV0zlVz6ELuMvlRTK0b0PZCKo7FaM6i6phHJohhFHO31hv6sZezJldSJ54BXT/k05U2XhSTt3XemCw+Vie7X1tbyZpDd5/Hre1JrLVc7m71cEN5TcmY+rAok7N0ZkqZYzUA7me/bGOmnOFs5fhe7bs5ze97ON3rU2s7yKlMfgc8qHX5+bs1lpsucZxQdSwcS8c2BF0vwtAFXphQzBiMF+x0uyl7LI1Uretzc72DG0Y0+gFVx8IyNK6M5XADOeFsMBTj6kSeXGpjdq+2Ezhzls6l0RylrEkYJ3yy0uTOVpd6L2A8b+MJQeyHTBZtrozl8aOElZZLEMVsdnw6XshozmKunOHqRGFPUI/ihJvrbTY7PrWuj21oFLMm3dTuLJ8xZSPcxEEXCYBbmx2+fb8u7Xl0weXRHK9PFRjNWQcuMm4QsdR0WW95RElC1w9p9APylkEpfW7Pj+xtiDvOCzaM5bjkxYYclwxSznC24hyrWu+HMStNl+WWO/z5nKUzW84ylre+0KlxKticTFTye3y+iJgdJwmfrLT4YKkpE2BTZ6Jok7MMTE1gG4J6P2S7F9DqB1Qck2rOIm8ZzJYPTxC3uj63NzsEkexNuDSaY2LXuOOBr3s/iMmaGm9OFZ/YM7DZkdrawWMOHBae573RDyJupXIFWSQBQ9MI0+vwYNjP01o8xknCw23Z35HAsFDztFXg0/y+h9O9PrW2g5zq5Bdgo+3y83e3Waz36fkhk8UMuoBqzqIfRMSxrIS23JBi1mAsZ1HKmsdKkFpuwGdrbbwgpt73KWZMTF0OiKhmTRY2O/SD+ECj2nbP5+7WztCHidQzV9cEdza7LDb6bHY8SoUM9ZZLyw2pOCZfmylxrpplre2z3JTa2+WmiwaMF2y+/0yFieJOUE+ShLupcbsbRCRA1tTp+SGNXsBo3qaUNXh9snhoMtn3Q375QZ0HNVmBHcnJ6utgStt+gihmteWx3JSz7rdTT+NBlebC6M7W49O8YMMoZrHhDifWiXS9ZyvZYzW2hbvOa1BJHl5ICl+MTZoKNicTlfweny8qZidJwq3NLt99WKftRZSzBpWsiWMb6EIwkjNxg4h6X95kN/sBpaxJxTHJGBrTpSxTRXtPc5wfxtze6g77Ava7IQx83bt+hKUL3pgqPnGX6cBjOibvXRqj3/We5WkZrn23XMHUBeWMSS+Ihv0QA3eb6VLmqfpWWm7ArY3u0MJy9imrwKf5fQ+ne31qbQc59ckvyEatX7pX48G29Igdy1nkbANdQClr0uwHmLpGAtS7PoWsyUjOJGdJLe/jEqR+EPFpWjVo9gNsQyNj6kNt78N6f7jtNuKYXB6TzXBRnAzdFuJEamYvjDhMFGwWGzL4GbZBL7VG2+j4CKRB+w9fHMEytNS3t8vdrR5tN0LX5GS37z9TIbsrmV2s97m/3YMkwdQ1oiTBC6XbQ94ymCzavDZZoHqIJCBJEh7We3y8LCfe6bqUTIzlbc5VD5cRRHHCRsdjqdGn2Q9Za7v0/IiqY3Emdd2Ymyw+9QvWC+M9nskCeeNw5phJcJwkbLQ9lhru8AKga4Kpos108cU6RKhgczJRye/x+SJjNsDD7R6/8rBOrRtQdQzG8ja6JqdTljIGY3mL9baMj003pNkPKNgGZcfE0AQTBZvpUmZP0+tay+VuTcrPDE1wcVcVOIxiPl/v0OgH6EJwbTJ/aEzcz3rb4+5WlzBOKBczTKa7Xc/D7iowwHjeopI1WWt7w68NGntnSkdrn/ezvwqcNeXEzlL2yVXg0/y+h9O9PrW2g7wSyS9IfeqvPKxze7NDx4twLI2ZUoZ+EA+bxnp+RNbUZNWyF5CzDUZyJrahM1mwmSkdniAFUczna3IqW98PSRA4lo5j6rw2uTMAI0ztZ+bH88OksR9E3NnsDu3SShmDi6M5en7Eci+g3fFwTA03lL8jiiFraXzjTIVL6UCMWtfnw6Umd2s9kgQypuCd6RJXUrkFwEbb49amtPcp2QaWrrHW8VhuunhBxEQxw5tThSNHZLbcgBvrbVaaHrWuz0jOYiQnm/3OVp0DjXewM6J4qd5nqdlnteURxQnlrME3L48z4xjPVHXtB5EcHZpqjTXBsBP8OAlskiTDqvnAJm1wIZktZ4+lK34SKticTFTye3yeNmbHScKNtTbzcxWMMDrWz6y1XH71YZ2VpkcxK6UNmhDECcOR8rah8agufcs7XkjbDWVjs2OiCUElazJTlv7kQgjcIOL2rphbdUwujeaGTci3N7qsdzwESJ/hYwyM8NLGNU9ocjDRM3if72d/FdjWNS6N5TB1wXLqOjT4AwyarkcOkaUdRtsNubW5M7FzYCf3uCrwaX7fw+len1rbQV6Z5BfkNtWHSw0+X+/QcUM0HWZL0pEgIaGUMaW9TpKQ0TV6QUyjH2AZGiM5E1PTGMlZzJQyB+6UdwfNIIoJo4SsJW3Wro7nyVn6HvuZQTPcQFax0fa4V+viR3IU8lQxw5nJIt+7I4dc5G2d8ZzNtx9ss9UN0DU4U3G4Op5ntpxJPXf7fPtBnc22tGIbzVlcHssxV8lSdSwa/YDP19rDx5srZXlY7/Gw3mej7VOwda5NFnh7unhoUhrGiRyf3HSp9wPcMGIibw8dNc5WskdWEJr9gIf1PjfX22z3AmzbICvg3dkyV8ZzzzSTvh9EPNreGS2tCYZd4Me96HS8kKVGfzixD2RjzGw5c6yqz1GoYHMyUcnv8XnamL3Wcrm12R2ONr8wcrwhDLWuz/ceNXhY75ExdS6MOOQsnXY6fKdoG1wac3CDmIdpEuyFMW03xNCkV7AmBI6pM13KMFGQFeS1lsu9Wo9wl0/5wL3hQa03HBt8ppLl3BHT4PbTQ/Dh/dqwsnzhBUxb218FnsjbXBh1iGLZA7LW8gjTngYp+zieLngwHnlxVxV4MJTpME7z+x5O9/rU2g7ySiW/sNMI9slKi+1eIC1lsiZjeRM3TLB1DcvQCFLLMpB39Y2+PLbqWOiaoGDLO+3Rfbrgh9symYzihCCKsQ0NIQRnK9JRYqnp8TBthnNMnfnx/HDLKoxk8F5puiRAuZghL2TDhhvKx5ofz7Ow3uFWWsEezUvv4tlSVlZFNMHCeoePV1s0elKGIase0jsyZxnc3GjTD6Tv72sTBdp+yKerbR6mFYaZYoZfe2mE4hFBcKvjcSsd5dxKqywDzXAla3LmMUlwz5eB/E6jz2ZD+maWswbvzZW5OHa02fzj6PkRj+o9NtJGQk3Im4e5cvbYE47cIGK56bLW9vY0xw0kHk/bHa2CzclEJb/H52lj9qCSueXHtNruAdnB4+h4IR8sNoa7W+dH5NCLei8YWjjKIRHya4MkOIpjOl6ELgSOraMJgaEJpooZpopykM6dXbrd3Y4QK02Xu1tyGtxkQfrDPyk+lcsOa5tt7m51hyOXy6kjxPMMrzhMC3xxJMd4wSaME9bbLitNd9hHomvisbuVu9lfBZ5Me1D2F0BO8/seTvf61NoO8solv5DqWLf7fLzSZKXlYekCS9eYKmVIEpk8Dd74mpB6XD+SyWyrL8dSlrImuiZkcrlPF7xbYuCHct66rsntt6sTedwgZmGjQy+Q9jNzlSxndnnidv2Qu1s9Ak1uodm6IIiT4Vbf/HgON4z5bLU99LSdLWWwTZ2Zopxw1vEjPl9rs9byqPd8qqktkGVojOYsWv2QbhChCbiS3u3f3Ojw/mIDN4ixDcE3z1W4Nlk89Dn0QrmGRj8gimNIBLq+81oqp0nwUVWEbD7DL99c4/pyaxiwR3Im78yUOFt1nmm7sOuHPNze8R/WhWCyaD9VEhxGMWttOcrai+R57b5YHlcXrILNyUQlv8fnWWO27dh8787mUHaw3y7sKNwg4uOVFne25PTMM+UsF0cdaY3Y3nHQmU932mpdf5gEJ0mCG8rJcYYu0IRAAKN5uZPnhfGOe0Mqp5gpZaj1AhbW5TCMajoM43EV1d2vn422x910wqYmGE6pe5ZdrgH7q8C7JRsDmdlyo79HF3zUbuVu4iThUX2nB8XS5Y3JWH7nxuQ0v+/hdK9Pre0gr2TyO2Cj7XF9pcnD7T6GBpahU86a5G0DTQAJxOmxOUtHAB0/Io4TOn6Yft2Qya0QTBTlnXbW1Gn2Az5fbxNECVEcI4QMuLaucW1SanF3TyLK24OgvaM39XWND+/V8FIphhtEmJqGaUhHiVLGGCagjV5I2TFw0vOZKWaYLFg8bLispY4RXhhRcay0C1o2vUmNsM6ZdDRzvRfwC3drrLaklOBsNcsPXageaouzvxqhC8hnDDpeNKyeHuWvO/i7BVHMxystPl1t0fNlBWe8YHF1vMBc5dn0tx0v5GG9P6zmDOQQs8eoggyIk4Stjs9y06Xt7VxIRvMW08XHX0h2r+80otZ2EJX8Hp/Bc7xHdiAE50ayBwZR7CeMYm6sd7iz1WWj7TFTznC+6jCRt7mXDscRwGx5UFBgTxIM0o/cEEI2zaa/K2/rjOUsWm5ErSfjhpRT5IhT3/jDxsQftbYBQRRzb6s3lGblbZ0rY/nn7ivY/9wNkvXBejpeyHLDZbPrDb3O87bOdPHxO1ldP+TO5s64+RHH5GKaXJ/m9z2ouHZSUcnvM9JyAz5eaXG/1sOPYioZE02XVVpD03BMjW4QyeROE1SyBkGUyOCQJKlrgMDSxbDyW3VMpksZsobG5+tyOymJE+S4ellxOD/iMFvO0ugH3NroyOEbAs5WHGbLO3Zgte0uS42dMcn1XkAUS9sx6bjgcHtTVgL6QYSp7ZzHwBLHNjQe1nsEUYIXRmmVQK6/1vVpu3Ki0vkRh6sTBTQB15dbfPdRgzBOyFoa782WuZKObd5Pz5fjNAdJ4nhOeh6vtXe0aEXb4Ew1O9TR7v+7uUHE9ZUWtze7tN0QyxBMFmQVe6acZeQZphwdlgSP523mKtmn2oJsuQErTXePLjhv68yUjrbDU8HmZKKS3+PzImK2H8bc3eV9XrQNLo/nHjuWPE4S7mx2ubMlY+NY3ma2nGF+PM9mesMKUv96eUwO2UmS5EASDGBqgihJhgmioQkyhiZjNgwT6fG8xY11uVtnpnKxw26Aj3r9bPd8bqdSMcHOBMxnGTYxYP9zV7ANLo/l9iTWXhiz2nRZbbsEqc3jk3aykiTZO5RJE5yrZnntTJVms//M5/uyo+LayUQlv8+BG0R8ttri/naf7Z7PRMEmSaCYNTA0jYItq76ttMEiY8jGt54fDbfuvDBCINA0huOIs6bGeN6m2Q9ouCGQoAtpNQayIe3KeB6A+7XusNpatA3mJ/JMjRWGa3ODiPvbPTY7Pm0vZKPlMZa3mCpluDaRT31sZdB3TA1D04YjlTUht776fkQnDfw5Sydr6dR7AY1+wFKjj45gppzhhy5UKWRMtrs+P3+3xnrLQ0sb7F6fLAwn0+0mSRKWGi4P67IKnDE0Lozm6PsRS83+MPAOptJdmikf+ner93xurLVZSpvqHFNnomBTzprDZhXzKR0iun7IYn2nqW3g7DBXyT72Irufwy4kli6YLGaYLmb23BioYHMyUcnv8XmRMXur63N3szvU786WnpwcPqr3ub3R4VGjT9aU+vwr43mypsbtze4wyR3LW1xIh+wMpAGL9f7wZl0TcvcriRP66Vj1KJaFgjiBvKWTMXXOVbOst33q/QBNwOWx/AG98uNeP2Gc8GC7x0oapx83AfNpqHV97qTP3e6q9+7nbmDzuNJy6Xg7yf9IzmK6aB96Dl4Yc3erO5SRTY/mmczoL8QN52VExbWTiUp+n5MwTljY6PCg1mO52WfEMckYOqaukbF0TF0w6li0vHAYVEsZg/G8zXY/GFYX4ziRiaEYpFmgAVGS4EcxtqFjpRreJJ25fm2iQN42ZHVgQwYxXQjePFelIJI9Fc9GL+Burct2z+dRvY+hCWbLWd6bKxNEMQubXaI4IWtqzJaye85NIKvBXqpDNjQx1Brfq3Xl3PowwdQFb08XmZ/IkzV1ri+3uLnepu1FjOSklvfSaI7R/MFGla4vx2kOAux0STaebaa+v4MhExPVHFVTHDoxLk7kZLf72z22Oj71no9jGYznZUV5LC99eY/rbTlgv0UayBuQM08pr4jihM3UJm7wWtAEjOWkr2ghY6hgc0JRye/xeeHjjaOY+9u9YREgY0hrr8e5rmx2PG6ud4axZa6cYbac5cKow1rL4+F2nyiRzgvnqs6wyQ3kjfZiY8fuUBeykVlo0p0mTqDvR2x1PRzLoJw1mCjYCASbaUwdyMUGj3lc3/mBbhn2JufPyv7EOmNoXBzNHTqttOUGrDa9PZIIx9SZKtlMFA66RAxuTIyMSa8rpSZnKs5TTZk7Cai4djJRye8LIElF/3c2uyw1++iaxni6rW3q0lx9xJGaYDlmWJ7yeN5ivGCx0fZ3tsaTBNPQ0IRMNkEGnUY/pJw102188NNmiEuj0k8yTGfHb3R8cjkbPYwObAMmScJa2+PeVpd7tR6ddArSN85VmChkuLHepuvLZrbzI9KDd3flM4hi+kGEpcuBHIOGk7Yb8MsPG6w2XBByitr59ILhR7LBbq3tIdLKzFje4uJo7kDiGCcJi/U+j+p7LXQKtsFqy2W54WJkTLpdTybp5SwTh4wlDYbuF33arhwjnTFl1V1LL1TTpcxTjyp2g4ilhsta2x0G/xHHZK6SfeqRn42+9Ave7u6VRFydrWDH8XNta76sqEB6EJX8Hp8nPcf7k8PRnIwzRyWHHS/ks9U2622Xza7PXDnLaN7i2kQBAXucFwY63t0xq+XKSvDgGE1I6ZqpadT7Af0gotYL2Op4FGyZAFdzFi03AOQN/Px4Hl07/uTKwQ3+IDnXNekI9LwNcS032FP1HgxbOkze4IeyuXe1udPcq2uCibzNVMnec80Jo5hakLCw3ACk5/CFUWdPQ9xJR8W1k4lKfl8g2+nW+2rLo+WGzFUymOlkIZFa5ZytOvhhPBy5O9iqG8lbrDZdNjq776qlDKHrR3T9UPpHJjCWs5gq2bjhLhnEWA5D19jq+qz1Q7abfTQhJQez++QGYZywuN3je0sNtjoBQkhT9m+erbDSkltcIAPg/FiOIE5YasiJc3EiLzIdT45OLmRM6UlZsLm10eHj1Tb1nk8+TTBtQ6NgGdR7PrVeQC2VhxQzJhNHjBrueLIKPAjEU0WZTGuaoC80Pnu4jZveGFi6YCYdS7rfYqfnS8lHrevjhzFtL8TWNXK2jkhvTCYLT+fGAHJbb6nRZ63lDaUopYwx9EV+Gtwg2uO5mcvZeH1/OGXqeWyOXjZUID2ISn6Pz3Ge46dNDv10CNBGR44xH8vbVB0pKxvNWWx1PO5u9YbSgMOqlx0vTEfL7+yUjeYscpZOywtZb3ustlzarhyGVHFMcpaOZejkbZ3XJgpM7pKqHQc3iLhb6w135/K2zqXR3FPfhO9m0Ig8sNzUhWCukj1w/dh9fK0rtdKDRjeQjj1TRXtYbCiXHRbXpNvGQDJSycqGOMc6+fFNxbWTiUp+XzD9QFqFDQLeRMGmaMuJZIMmrqpjMlfOsNLyhgHT0uX2WjlrSt/YXYlVztKxDY2W63Nnq0/Xi1JPWpm0ZUz5/avjctxkrpDhw7tbrKXjkXOW7BTev93vBhEfLjX5eKVFnEDO1vlXzlco2CZ30rGbux93d9LnhRGrLY8wjtPGkSxXxnJ0/IgbazIB7voRo3kb29CI4yQNfAk9P0ITgrGCjaHJ5HUuHbgxYFAFHjTs2brGxbEcl2bK1OtST/ZoVxPKoElvppQ50FzX6Afcq3XpeNJxI4zj9Jid1/BI2mxYzh6/QS6IYpYbLsstd4/H72z56Ia2o4jihK2uTzuGla3O8OuVXReS56nsvAyoQHoQlfwen6d5jvcnhzlL5/LY4clhnCTc3uyy0uyz3PTIGNpQ23+u6hAn7JEG2IbGxRHngHzrMHlUOWsylrPopVZjS02XMEqIkxhL15ktZyg7Jt+4Mo7wQ56Wra7P3a3ucJdwUCh4lgmYA7ww5n6tO/Q/d0yZWJedoxPrrh+y0nTZaPvD65alCyYKGa7OVfB63nDn8X7qNnFcjfbLjoprJxOV/H4BhHHC7c0OK02X5aZL1tQZz1vkbAN3lwPEuWqWnKlzf3unicIxdc6NOJQyBssNl5WWO0yas4ZG3tZ5WO9zvya7ZzOmhqnJamYla3JhNMeb52R3baMXcGuzM7TxmSlnOFs5OIpyveXxs3c2qfdCdE1KKa6M59nq+LS8EAGcrTrMpW4SQRSz3JTm6LWuz2rLw9QFYzmLN6eLjOQsbqYdzl4YUcxIp4s4kU0Wta5P3tLRNY2yY2Ab+lBHPF3aW2Xo+iG3N7rDJrzzk0UmbH2Y4NZTDfOg8jAYWTxb3uvMkCQJGx2fB7XecKsuY2iYuqDrR8Nqe9bUmCo+XYNcGCespbKMwWMPfZyPMTFpN+Wyw9J6a+gSMbiQ2LrGZNFmMnXhOImoQHoQlfwen2d5jmtdnzv7ksNzVefQ9/ZSo8/9Wo+trk/Pj5guZYYe6xlTp+2G3N7a6Us4qnp51OCb6WKGII74dLXDo3qfKErY7geUswZXZ0pcqWQ5e8yJcLuJ4h2v3YSdQspEwX6uG+Z6Tz53Az/18bzF+SdojMMoZr3jsdbyhoWJXM7GimOmShmqjkkUJ9yv9YbFGTvVGY8eojM+Cai4djJ55ZLf9x/V+W9/4T4/9oPn+Nb5yhdaTVtq9LlX67LZ9ukFETPlDPnUT3cQGAq2waVRh34Q8yD1mwSpMTs34pC3DZlYNd1hALd0Ofzi4XaPei9ACEHG1Ol6IcWMwetnKsxX5KjeKE54WO+x3HB3dLSj+QN38WEU8yuPGtxcb+OHCWN5i/PVLIauDRPLctZkfjw/DH6DpG8wna7ZDzE1wWw5w3tzZdbTRBfkRcfWpY3Zdi9gqdknDBMsUzDq2JSzBghpF3Su6jCW36l0Jokcx/mg1ifjWHh9/8D4z5YbsNhw9zTpjeYt5sp7m9KiVMKx1HCJEjkSuuKY2IbOds8fPsdaOuZ5spg5cuDGfgad0UsNN7Wyk/ZA08UM04dUpA9j9xtycCFZbXrDxxuYz08XM4+txLyMqEB6EJX8Hp9nfY6jeGcXKYFDm9gGbPd8bq53aLkBm22fiaJNPrUCG8vbQzuvB9uyenmUFALk+1e66ew07Nq6lrrewEfLLRbrPbZ7IbEmKJga18bzfP/ZyhP9wA9jv9duwTa4OOo8lxQiTt14Fut7ZST7ixSH0ewHrLU8ekA79Su2dY2Jgs1k0R4OCBlcC6upN/BJk3qpuHYyeeWS3z/09z/hzlZXDnQoZfg33p7iG+erOE9hXfU01Hs+Nzc6MhC0PSYLNgXbpOyYdNxwj5ZMuhv4PKr3hsFyxDE5W3VwLJ3Njs9SY7fpekLHDYgSUimBHKZhmDp6nPDemRJXxuVkof2jKCfyNudHnD0JWZIkPKz3ub7cZKPtkTF1ZsoZbF3HCyMMXcPQxPBCMCBOEjY7Uu98p9YlCBM0Da6M5pgqZYbbZ+WsyfxYjl4Qsdhw+Xy1Rb0vA3U2dXDI2Qa6Jivc56vOHisdN4hYcyMebbSHj7d//GfPj1hs7N16LGWMA56/fhjzqN5ntSVvCjQhx3PmbINa12c7bWKR5/Z01eAkSWSC33hyRXo/R70hG72AlZZM7gfrypoakwV5XsedRPdVogLpQVTye3ye9/UzmIA5cGnIWToXR3MHbm4H0rWWG7Daks1qpazJZMHm4mgOXZO7Xw92OUzYusb5EYfxQ0YuH3ZTrGuCqaKNLgQ31justH3ubLTJWToTRZs3J4ucrWYZzdtP7Y6wkUoLBrtQE2kD8vPEiP0ykqypcWHkcFeI/Tj5DLeW6jIRDnbs0qqO7PvwwnioMxZIp5+zlexzSTe+TFRcO5m8csnvRsvlL//CPT5b7xCEMbahcWU8xw+fH+HduRKTxSff0T4tXhhzc73Nds9nveVjGYKRnEXFsbB0MUwO7dRcvZgxWW70WWruaEkn8jZnq7I5rN7zWWpIP9s4SVhtygSuaBtkTI12mLBWl7KIas7k7ekis+UsjqXv0dEamuDCyMHtsXrP57O1Duttj2Y/YLpkY+ka/SCSlmuGdLO4NJo7EKC2Oh7vLza5v90jSWfJn6tm0TUNXZNDPa6OFyg7UkP8+VqLj5ZacoSoJteg64K8bZCzDCpZk3NVZ6hXLpcdbi3W94z/3JnKtLOGQSPZamtn6zFrasyUpEPEQPrRDyIebveGfwNdE8yVs1Qdk62uz3rLG15EhtXgwvGrrs1+wFJzpyINO2NDD6soP+kN6YUxa2mD3OC8BtXgyaJN5Sk0y182KpAeRCW/x+dFvX62uj73trrDXTa5y7XX2SBKpWsbHZ/trk+Q9jbkLYOrEzuT1tpuyN2tHVlWKWMc6mQDR98UVx2LXM7m44c1bqx3aLshZcfk2niekmMxnpcx52ksGsO02j1orH6aiu3j2O753NvqDZPYqmNyYeTxjWu7/26NfsBay2Wr6w+lZrauUc2ZeEHMdnpjYqbSjcnnlG58Gai4djJ55ZLfAZ9v9fh//cxtVtseURwzkrU5P5rlyniet6aLnKu+2E7UJEl4sC0Tz2Y/oO2FTBZtHFNqwbZ6/lBLNvBvFMCjRp+1ljt0hpgqZjhTyWLqGh0vZCntMq71fNZaHo6lc2WqiBZGLGzKJi/TkFXuiYItg6it82C7Pxy0cZiNjxtE3FzvUO9LGzZTF1Qdi0Y/wA8Tqjlp3TY/nj80iVtvu3znQZ3VpqzAZi0Nx5RG53lb52zF4UxF+lz2/ZDvLTZ5uN2j7UVUHANDE3S8iGLGlD6ZxQznqllmxovD8cb3aj3WU93YUcbvQz3uLtnIQIowVdrRz3a8kAfbvWHF19IFZyoOEwWLej9kreUeWg0ezx+v6trzI5Ya/T1uHodNezvuG3JwIV1re3vs0mxDY7JgM1F4OgeLLwMVSA+ikt/j8yJfP1EsnQ2G2/lCyrVmy3ubr5abfe5t9egH0jJxNJ1CeX7EYaaUBeR7cb0tJ5sFkaxeThUznK1mj9wparvSIWKwk5PL2YSuP5S/bXV9gige3tgLIWRVuGAfO+aAvLm/t8uyzTF1Lo46zzUgY+Co8ajeH0o/HletPezvFkTxsCl8oCkGmQj3wwg51FQcWZ1/mVBx7WTyyia/5bLDg5UGf/fDFT5YalDrBhgajOZlgjhbyXBxNMflMWl586K6UWtdn4WNDn0/YqPjUXEsHEtnuii31AdaVF0TQ69cL5QBcVidFDKZnU0dEgYNFve2ejxq9NAMHaKI1yYK+LEMVM1+QDlrMp46LIzmLAxNY7PjERyhXYuThIdpwh6EMW4Y45gaYQKrTRfH0hnJSVnGuapz6PS2+7UeHyw1qfV8knTkpSZk5fvciMNrEwWsdILSctPl1kaH7Z70yKzmTLpeRL0XkLNlFfjtc1VGLG0oHWj0A+4ew/g9SaSbwnLD3TPBbixvM1PKDBP/Rj/gQa03PCZjaJytOoznLVl1bXsHqsEjOYvJdJrck6oUfhinFekdv2db15gqScu1sZH8U78hvVBeSNZa7rCaNdAyTxZlk8mL3s14FlQgPYhKfo/PF/H62T0BE3YmTO5uvmr2A26ud+gHEds9H8fScSyDEcfk8tjO6PZw6C/uDrXFhzXx7qafxu5uDM22dJPo+yGrLY+uHxIlCTnL4GzVwUoTSwFUc5b0DT7me3u7J10hBonmiCObo59HX+uHMQ/rO9KPo6q1j/u7JUlCsx+y2pa7Y4PCQNcLccOYXDolbzRnceEI3+GvGhXXTiavdPLbaMgZ5P/y3jY/e2eL1aZLP4jIWxo526TqWIwVLKYKGS6N55guZl7IiMZBVbXlBtS60me34pg4ls65isNGxxveqecsaTNTypp0vJCH273h9wa65dmSTILD1IXh060ujza6cp2OwWQhQxTH9IMYL4wpZoxhEBnMqPfCGFPXDu283e7JhF06NiRkDB03jNjq+Gz3fKqOnHb22mTh0OfHC2NubbS5vdkbNpVFcULGlFPXfvBchYm0ea3jhdIpwg/p+JG8sKSjReu9gLxjkREwP57n8liOjKkTJwnLDVmJOI63ZzMdMLG1S4pQyZrMlDND2cBWVzpDDLb3HFPnTEVWaeVzEgyrwburrhN5m4mi/cSLykAHuH/a26XpMgUtearxyQOOupAMLIcmj3FeXyQqkB5EJb/HI4pjRqpPf2N4XPbfRO+XL/hhzI31Nk03pO0GRHFCKWtiGdqwQDKg64fc2+oNd9aypsb5kce7GeQKGRYW66w05Q2sjGn9oVtQ1tS4Mp6nlLVo9XdijqULxvKygexJMWPogbxLXzuVVmyfdvT7bjqelH4MpBw5S+fiyI412nHfG/udIuLUR7jjhZQyJhXH5GzFYbaSfammxKm4djJ55ZPfAY+2e/yTGxs82O7RdEMyhnRQ0DWRjqg0GclZwzGYT2OFdRhxWhVdbrq4QUTTDag6FlbaDZy3Ddm0kFbydjeotdyAh7tkC4NRxdMlaatVKmX59s113l9q0vEiLEOOWPbjhLytY+saWUtHwLCxzvUj2r4cAlHIGHLCz67KwEC3PAhwI6llzUrazRzFCWN5m3dmSpytZg+tRtR7Prc3u2y0PdY7Ltu9UNqNadLD9+tzJaqORZSO3Fwe+GrqGuWsyVbPY8uNWE31xHlb58pYjremS2Qt/VBvz8GNw2EMqi7ruzyVB3KGyVQXvN72eFTvDyuqOUvnbCU79N11g4j1tsd62xseA/LiOVGwGcvbT9w1qPekUfx2LyCXs+l2PSpZk9ly5pm3JwfbivubTAbn9SyNNM+LCqQHUcnvk+n4EX/l5+/yfRdG+b5pmQB+EQycHB7We8Ndmd29FnEi49JSwyVIh+YUswaGJh0MLo7m9ryn9utjH6cHHrx+kvRGf6Upxyf3/JBPV9v0/IhC+vNvTRXRNNjs+MNkHaS7w2TRZixnPbZZzAtjHm5LydhxK9THYavjcXfXNWvEMTk34gylak9DxwtZa3lsdDz6aYxtudLNaCxnc20y/9zn+6JQce1kopLfXXS9kJ+7s8Vna202O54chWvpmIYMfIYmyKWdv3KsrfNUW0+HUev63Nrs4Icx270ASxcUMuZQm9V0pa73sKaFRj/gYZqsg9x2mitnuXamSrvVp+uHfLjYZLHRp+WFjOUsgiihF0SMOLLSOVXM0HRDal2fKJY60u2eTzFjpD6WeebSO+2BG8SjtJmulDGYLNistDwWNjrUewG6BnMVhx88d7hdz27rnI4XcK/Wo+2F5G0Dx9S5Mp7nQto13XJDbm1In+LhtLrxPJ882ObGuvx9AIYuuDTq8NZ0iZGcRS01fnd33TicG3GO9KcMIyln2K0L1oVgvGANp6xttD0e1vvD7+csnbNVZ1jNGVRd19seW90df15dk/7HEwX7ifZFPT+iFcPdlebw5x1TZ6pkM1F4Or/g3Qwsh/acl5DSF3lexpfSVKIC6UFU8vtkfunuFj/1+QaWqWNpgq+fKfH6RIGJwvHsA5+WMIp51JDyhd1TOAcVx4F0LYxiWp60d8xaBrahHeiBiJOEtf0JdUF6De+OR4e9fjpeKG/O2y4PtqX2OEkSJouyyDA/kcdIb9A3Ov6wsXfQmDteeHwDbMcLuV/bqVBnUi3z84weHmqpGzvV5UvTJaqm9kz+5HGSsNXxWU/j83rbo+dH6W6WzTuzJWbL2Wc+3xeBimsnE5X87iNOEj5fa/Od+9ustj36fkQpa+KYGpap4frxULeatXSqjslY3hpuKz/LdrUfxjJ5TO/0vTCmlDXTJows4wWLB7XeHinE7iaAes/n4XZ/qFOtlLJUTcFUMUOSwL1al8V6n+1eQBjHOKbOescnSRJGHIu3ZoqcrWTZSINMsx+w3vZo9EMypnR2eGemxEwaZBq9gIWNDl4kn4tLo1Jj++lKi5upPMLUBW9NF3l3tnRohdwNIu6lhvKtdAIbAmxdZ7KYYTyVm4zmLdZ2jVyeHMkxkw7GeLTd4/pya2iWPmgIfGOqwETBltZwu7qdz5Szqcfm4a/d/VWX4Wsla6aG9wYbHZ9H2/2h5nfQvLfb8ieME7bS7bvB3wRkVXkitSY76kJQLjts1TqstjxWmjtDM3RNMJG3mSo922ts93mtt70940htQ1auJgpfrCxCBdKDqOT3eFxfavJLiw1Wal2EEEyXMpyrOpytZBkvyJHEL3pK2H49sKXL8fSTqT3XwkaHphvihRFhnOCYcmz6bDlzoAdif0I9aLCbKcuE+nGvHz+MWW253Fxv8/l6h+2ejxCCiyMOr00WuTaRJ2vq1Lo+a21vT+wayCImCvaRkr3tns/9Wm9YRS7aBudHnGfyGt59zgMrSSdn4/Z8ZtJd02e9iXeDiLW2x+1NOSTED+XLaCxv8vZ0ifP7Ku9fFiqunUxU8nsEta7HL9+vc2+rS8MNyBj6UCtr6xodP0KXclTiJKHiWFQdqUuaKNhM5O2n8ikcNHw92O4RRnIUsG1oZEx9OJ7Yj+I9Fc3xvMW5XRY92z2fB9s9EsOg2/WwdJk8TxUzbKeSgyCK6XohpqFR60odrQDGCzbff7bETClLO51H/3BbTg3qB9KLeLJo8e5Mibmqk1oBdYe62bG8xeXRHI1+wHce1FlsyGS1YOt8/9nK0B9zP4MpQh0vYqXZp+1GaBrkbIPpdDpaNWeRMzXW2x5GxqLf86T2K504t9Z2ub7U4lG9RxiDEDuG6aM5i6YbDi8Ix9HfgdTtrTZlojicsmZoTKeJ+VbXZ6m+k5wWbIMzqRxiNz1fbtlttPdakw1eJ/sv2rtfl3GSsN2VkojdyWopYzBTyjzXyOP+LrmGd4hc44uQRahAehCV/B4f27H4xx8t8+lqi0Y/xNI1pkpy6mHeNoY7LMXMi93JaLkB97Z2mmBzls75EYdK1uThdp9HjT5JkuCGMaYmMHSNnKUzP54/kHD2g2g4RQ52XGWuzlVotfqPPY/ByPdv39/mYaMvZQCp1GF+LM9bM0UcyxhKsaRkYOe9nbN0xvM244fcfA9GDz/c3vGYH81ZnB9xnuuGuOdHbPkxD9Zbw/WefU4LM+l04/P5WptbG93h+ZayBq9N5DlTdb5Uy0cV104mX0nyOz8/Pwn8GeDthYWF7zvk+xrwXwBt4Bzw4wsLC9857LG+yM5hP4z5eKXJJ6tSBiF1rRa60HAsHduQdmOaEAig7Yc4lkHVMSnYOiM5O61KHF8WMWz4CiL6qejfsXQ0IYaDMFbSbaVBBWH/HXWg63z8oDa8kzd1wWwpSzVncXerO0wE85YcXvH5egc/TBACZssZ3pouMl3MoGmCrY7HzfUOtza7w2270bzFG5N5ZspZen7E3a0eUZJg6+m2n2PyoNblX96v03JDhJAT3t6eKQ2b83azu2Gt1vNZb7nYhoZt6pQzBtm00mnpAjtr0Wj1h4MwroztXGBabsCnq20ebPdopcliJSuTzJyl000HgSDEkaNJ9zOQROy25NEEjKfVlHZqNzcIwPs1wQMG1mTrbY/t3k4z2kAWMZ6X8oNKJXfo6/LQZDwdeTxVfPbt3yPlGkIwmreYyL84WYQKpAdRye/xKZcd6vUuD7Z7fLTcYr3l4ccxjqHh2MawDyNjaIx/ATsZmx05PGJQfChnTc5Vs0RxwsJGBz9KCKOYhARTlz0Vc5WDHuRw0FVmrOIwammMHuOGNk4SPltt8/FKi8W63IWqOhZO2hT3zkxp6AnccgM22j6bXW8YvwfnPp63DtzkhnHCUr0/3DGTRQ+bM5WjZWNPolx2eLja5P6u9TqmzrkR57lHGrthzKcrTW6sy7HTQsiYP12ymSlnGc8fXfF+Uai4djL5qpLf3wl4wJ9cWFh475Dv/27g1ywsLPyB+fn5KvAd4NrCwkK0/9gvwzZnudHnVx81WG25tN0Qx9IZL9iEUULO1rF1QduL0ITA1ARtL8SPYspZOcktY8g77rG8daytpChOuFfrstryiGOp0bV0DcuQgX0w1Wz3lpyta5ytyka8QQJV6/o8qvdppwFH+tvKO+5B8pwxNM5WHG5tdoaODhlTY7ac4WzFYTq1Aet5IR+ttFjY6OAGciDFaN5mpmRTyUr/38FFYbDtFyfw0VKTz1Zb9IKYjKkxV85yaSzHTClzQA4xsHR7VO+z3OjjRzEjjqzm6LogiBJyOZvNuuzKzlsGjiWn0J2tOMMKqtSydblXk9Oc+kGcNiya+EGCH8XkMwYZQzv2NKEkSaj3pSRit99vwTYYz1uEccJqyx0mwY6pM1fJMp4/eDELopiNjsdG2x/+bQZ/w4vTJbLER0obDht5PND4TRUzz7VVeaQsQtcYK1jPfSFRgfQgKvk9PvuHJXy22kp3RWSzMKm8adCEBnILfzRvMZY/Wmr0NOz3uIV03HjJZrEu5VJxnBAj35da6lV7ZSx/6JCKgauMsORu3WGTLY9iu+fz+WqblZbLo3oPTUgLSF2DS2M53k57IAbnvd0L2Nh/8y0EIznzgD54f1OcJmCmlGWufLB48SR2/902O3I09KCQULANzled5x7V7oUxtzdkkabe9wmjhGrOYiRnUsqYT+2P/DSouHYy+cpkD/Pz898C/uIRye/fBP7pwsLC30w//xj4dxYWFj7ef+yX5RnZ9UOuL7e4vdGh0Q+IkoTRvE0pY+AGMpnKGhrNfoDQBBlDox/ENPsBlqFRcUxylky4BltPT6o61ro+tzdlRcEPY5IkwU4rGRN5mwujDj0/GjaNgdSgvnthFOHvJC/1nkyCBwmNrgmqWZN26qUogLlylkJG58PlFqup/ZbUM9tDzetY3sINYj5dbfGw3qPRk2udyMutRjeI8MKYQsagmDGH236NXsAHSw0WG316fkw1ZzKVeinPlrIHAlLHC7m92eHultwetA2Ns5UMF0bzJKbB4kabKE7YTLf1KlmD8YI9nBy3+28mE2l5UWq5AY4lGxab/QA3kHru0ZzFhVGHqWNO9+sHEStp88XgAjio4GoCar1gKCXIGBpnUl3iYY/d86PU/ULKDwZuD3l7cMN09EW73vNZae0dcpGzdCaLTy+7OWyN62m39W4Xi8HW6VjeemrPTRVID6KS3+Oz/zkOophbGx3WWvL9AzBVsAmiBMvU9rzfBFAaVDuf4IZwHMIoZqkhh+dEiWzsGstbmJpgtS0H2cSJnEAJYuijvvsmfUCSJPSFxicPtofSqErW5PyI88Sbzd39IrWuT63r44cxQggMXaQWlHmmCjtJaxjFcnrlvpvcgT54LG9RzMg42vOj4dAN2HEWmilljq2x3v93ixNZKFis7+yYDarog9/7rHT9UA6Tqvdo9kPaXkjFkbalhiaoOCbjeZtqznphsi4V104mL2vy+9PAX1tYWPjf089/CfhTCwsL/3z/sb4fJs+yJavrGlEUP/nAXcRxwr2tDh8uNlhpuHhhhKlrTJezZAwNL4xxbJkEd9Lk09J1ojih0ffp+xGFjEk1HZpRyBhMFjNMFDNHJjh+GLOw3maj7ZEkCUHaZKZrGpYuuDReYLJos9byuLvZwQvl96uOxaXxHM6uCmK95/NgqzusXAohNcthGGMY0uJsfrzARtvlzmaHWkd6LE4UMxSzJqYumCxmmC5n8YKI2xsd1lou9Z5PECVMpl69S/UetqFTyZm8NVPmwmiOBLi/1eXGaov1trSvmSlnqTgm06UsZw8xMN9ou1xfbHJ7o4MXRhSzJj94cZS5SobVpsdqU07LW6r3CdKtv2tTRd7a12TX8UIe1rqst1w6XkS9N7BCM9ju+XT9kLxtMlWy+dpcheljdg9HsfTqXWn09zSZFDMGpq4NjdpB6oXPjjhMl7KHXjSk/CBgo+Oz1uwPtyilB7SVNgEebpvmBhHLjT4ru+QXuiYYL9hMlzKUn2OaE0CjJ8c8r7fdPVungyEaY8e0/XuW99xJ4VnXZpq6Sn6PyVEXq5Wmy/1aj44XUu8HlLJyNLouBIWMjkDQdINhtVNL31NjOYuR5xxg5IUxi2lj16BCWsqYdP0QP0pIkgRDF0RRAkJIv96x/IEdmnLZobbdHUraBjfV43mLs9XH625394vEibxmtL2ArY5PGINpyALF5dEck/vGqrtBxEbHZ6O91xJxUKQZzVvkbYO2KydgDpwhBlrlyeLhN/X713bY323gDLHU2FtFP1vJPrdUYXC+2z2fthfR8aStZjmVIA4q3qP553NrApUgnlRe1uT3pav87qbthny62uJerUfLDTB0DTtNDAUQJQmmrmHqGkEUowmBhkxkun4k9ahpkHRSv93B9LWRI+5IN9oed7a6hHFCHEt97iDpr2RNLo/l0glxfephQqvtogk5dvJMee+2fssNeJS6P4CcKNRNE/NsKk2oOCZ3trq0+iEtNyCKoZg1hklO0TaYKFhECWlTXETbDUHIqne9H7DdDdC0/z97fxJryZauCULfWst6s92d/nh/740Ij8h48V4mWfkSJJqUqgqhEgMESAgJQQoxqBlSMSuJQY0KITFAQjBAjGCEhIoBAwaAmACZynrK10d4xO28OX7a3W/rzdZi8K9l2/Y++3Tux+/1G+/8kutG3Ht8n217m631r+//GkKp/51nJKaLixpfn8c09teUjcOuC0cQT+9p319BxKVSeDNK8RfvJjibF/B8C9uOhf/Kl1vo+jbOF3mz8J8vCihFoq0/e9zFL/c7KxtbWtZ4O6aIYSMqlDrgY5ETas0YcNBx8WePu3i+IbXuqjK+lKeaGw4AggGO4Chq1XBpHcHwqOfjUXczMtvvBxiNY4ziAqeLAuMNI8rdyMVgw4JtTOGPZ6uK7/tCg6VSGCclhbC0QjRMM7EfOdgKnSs/s4eF9HI9IL+3r+s+46So8epsgXleIS4qKIVGK+EKjkc9OjgO4xKTVkjETc/UbSsta7xupXAaYKHWqZa20WPoh+ZR18OL7WWaZvva1p0hjCD5+cC/dtqyyCv89nSOtCRryNCxcLHIcDIvsMhruBbHbkRplIc67r59aJ1nFc4WOS4WRYNAA0Th2o3IOi0vJb4bLSeN7QTMq0Com56NdRQduF3Tf5tq24HWUiItJFyLQwjWfNcm8XTvA/UND+vaT7M+m+b35cuXIYDg1atX558b53dTGcPzvz9Z4GSaAUyRO4MlsNtxIaUiIZxuUgkB4BAMDSIwzyrktYTFGbqeTYguY9jSi/H6iTSvJP5wvlgit1BQCoA+yT4bkJVXGHn4y++GONUWYBYn/99Ha6OqRU60gAvt8Xs2p6jjHf37f7EbYppVTSJQWUv4loCEWhFsbQd2wymTesH3LI6skvhmGKPUYrrDrotfHXSwHzlYFDW+H6VIigqjuCCkOCDO2Xbo4Elvlb9aVES3+O0wwWxRQHCGPz3s4J8+68MWXJ/0Y/zV+zk14QA6noU/e9TBF9urxvJ5JXE0TXE8o0a1lpL8j4tK+2XSzw0CG7/aj/Bs4N8quhhY8mbfa5QZIGSG6f/GGQPnDIIzHHQoWrm9oW0a7Z4vCpwvVkeUNy3YaVlTMz5f8pA5A3ZDSoP6GG5w+zrPF0WDBrXf127kXPrMHhbSy/XQ/N6+bvqMpVJ4M07xdpxCgVLhbMGbtcq3Sd/Q8yxcJAXO58WKFeHHNkEALqVwpkWNvJbouBZsweBZAmlZQwEraZqbri0ra7wZpw3v1ojPnvavboJrSeFJxhqy4wpsBQ7eTlKczHJMkhKck4e5CW5aj2ZXSmGaVThfkAi2Pe0xdCwAKwE65rPd3dAE3/bZKCqJtxNC0U3Tv99x8eyGpv82ZZyQzJrMGRDaApVSK44YruDYiege2MTR3lQP69pPs34swdt/DcD/EMB/A8D/DsD/CsD/GMBvXr169R9qt4f/FEAC4BmA//2P4fZwm5qmJX57usDrcYJxUqLnWToVThB/SaPApZSgxxlNqllaVagkLdLzvAZ0gxw65BcpOCWz7UTOCipxMsvwzZCimaEAiwPa8hCBLfBf+GoHvKywyKtG9AWsiuLaC1Ra1ng3SZsUnfezDDYn/tc/2o+w3/XwbSs5LbAFBoGFeVavbB6uRaK0sia0w+IMW4GNk1mOb3Xyj2dzPNajt75nY16UiAuJopJIyxqednkACF1+MvCxHbSaKNfC//0vj/DdkGyBOq7AP39BVmqcMZQ1xZD+9dEMc63+3Q4dfLHl41GPBGht7ptJqGtoBkphUVQ4mefIStXYpj3quTjo0t+/LS9tnlU4nmU4XyxdFLKSPEEtTgmCDOQcYVL9rrsv07JuGuF2spMjGHYiSnZat3kydmnHs3ylSQ0d0Xj7fkxSIUCHifMF8YPN5gKQywg1wsSNv8rJ4o+hHprf29enXrPnWYXfnc0bi8aOZ6GsJNINKY15JXF2xTO1HTrYDT+sEZ6mZZMWWkmJs3kORwit/RBQUMir5aj/n361gyzON75Wqpvgs5b47KDj4enAv1YP8PuzmLzYGcPzLR+CAW/GKc7jEpOkQCUVdjsuOi5pUQ66lz3IpVKYpCXO5wUukmWQBgB0Xdqn4rxG1QrlMTHw5jO767Oxqem/jyZY6cnY96O0ado9i5pdKBIftvUNvs2xG5FQ7jp9zkOD+NOsB5/fe6haKnw3SvDNeYz3s4xG7z6dGrueDdfisBiDa3FkVQ1zkPYsskyra4WpbiLLSiKrqGlzLdE0JuuIGqHA8TLimIHQDgWEoYuAKXy5TeET46TAd61T71U2M0UlG87Z+1mGUVw2zg///PkARa3wzUVM9ABQoMRuZOMiLlfEX0UlkVd1Ew3tCo5+YOH9NNOhFhUJzSIakVe1xCKv4DsWhFZIk1ib7jHf5k2k9JZuoF6PEvx/vh1hqq3UHvVc/PmzQcM7LmuJvz+Z45UWKHLGcNAlZ4odPfoz6GctFU7mGd5NlglvHEBS1hinNDKspMJO6GArcBA6ohGG3IabVtUS53GBk1nejAvTskZSVGCM6QMTx1Zg49fPt1bEildVXFQ41xZGK8iFHm1ucma4Cg3e0o4aW8HHe2Ne+b4ExxeHXbhS3rsP6+dQD83v7euHWLPXEdDIEej7Ns7jYiWl8dnAb+zFrrp3zSFuJ7w8zbip2mLjSVrifJFjK6DX6rgCcSlRS4Vux8OOQ8DAVa+fFDXejJfUChPq87R/WTQM0LrzzUXSiAHJ3jHAOC3xdpwizmtM0hK5diaKXAsMwFa4XA/4hoP0uRbWmT5YKZpAZhW5ElmCI7AFnm/RZ/uhh960rPFmRDS1+26CzxYF3oyXrhOexfF04MO3OS7iEheLvFkjgaXQdydyLlExHhrEn2Y9NL/3WNO0xO/PFng3zXC+yInTa3MwxhB5Fjhj8GxaGOKibhZhWzBsB+QUMEqWlmFF6xRqtThKbUTNJKVVOkrStThsz8Z8ka/EITNQFvz3o6VP5VVJPpVUOJlleHW6wPfjBEVFiW2/PujgTx91cTKn9DGl38sLzfkaxiWOZ8tAhkVOC75rCfR9ixBtMGRlhaSS5G7gCLgWiQIv4gJxXqGjI6S3QhtFJZtFyBEMv3w6QARCyCup8JdHU/z10Qx5JeFYDL/YjfCbw27j+jDL6DsxyKdBTRyLvof9ztL0XSpFqXCTtEGBykqikBJVrZCWNeK8Rl+HmXAtYNkJb98IL3SAyNmCfDeLSmKcEqLS9WzsDwLwWuJJ37uV56d5zbNFjvP5KlfPIBe7kbNinXYVGuyKpT/qTU4kt6lFXjVIddZysjAN+m54+9Hi517/EJrf+/Jn/yHX7HFS4PfndGDnjGwYSRuRrTTBT/uraOUir3Cx2NwIbwdOY1t5W46wSeEcJgV5hhc1diIXz/o+hGCohUAc59faopmKiwqvR2njwCAYw2HP3eicAwAXixx/uCCfdoszfKkjjI9nBHSUlcRC70euxZt1zBas8TNfX9sqqRvhRY5RQhxqqRRmaYm4qOHbAh3PQt+38SfPt+DU9UcF8qw3wXu6Cf4YTrDS6/2b8RIJdi3SvOx3HMwyWr8u4qIBdgCifpg137fFQ4P4E62H5veeywi0vhsmOJlnWBQ1DjsuNa9g8Bwz0idaxCQrV3hI+xqxm2YlLlqn60pK7V1pHn8qV3B0fQuLrEJa1gBj2On7SJICiW7g2nHIJmv+zXiZ5LMd2Hi+ddlWRyqF42mGv3g7xdGUEBTP4vjTR1282PbxbrJsdCNX4Gc7IbqevYIw5pXETAspHME1wiCgAFicQynySvZtC9O0RFyQcGyR1/Bsjn0tfMgqibioEeqozP0OUQV8W2CaFvjXryd4M0pRSoVBYOMXexG+0o29UgrvZxm+H6VIixrTtIQtGLp68zKCw30tOOQMGKcljiZZ0xzGRYW8lM1IMC0lPJuQbbMB3qURNg3oyTxvYqfHSYmSMVhSYeDb6HgWHvU8HHRuJ1RTSrUW7MvIxbZGr9b5z5T0lq1s8iY56r6S3uZZhYwxfHs8W2nQPYvfCUX/XOsfSPN7L/7sP/SaXUmF77RvOkDPws93Q8QFjddNE7xpZA8sG+GLuFhxRPiQRnikm2Di4GaEZnY9/OMXWzgexs17edT18GLrev/xRU56DENH4ww40EjwOh2i0HoRw0U2ImlLcLyfZg31q6plE08vOGs+h+toUsY6bRgT/7+SRJW4WBTkELQVomsxfLUdbuQE37bW6R/33QS/bYEeriAk+KBL/OZRUmK4uEz9iFyBLw97cKX8pNHwP1Y9NL+X66H5vaEWeYWvz2OczDMcz3I4FsdB5JA4jQOc0QKyHdjo+zYmadksTADxwPYjB0VNI/k2l5IzOu1LpdDqb5CXNeZ5je2eD17X5L1b1Q23bDdy8IWOQ66kwtEkxbtp1jzMV9nMKC0k+TdvJk2oRte38Ov9CJFrYxgvEcf9josvtgI4Fm+CIU7nOS40QnC2KCCVQlc3vL4t4DsCjmD4cjuEJRjOFwW+vYhxNF1aax12XTwdeAgCD+et7207IA/inm/jtU5+Ol/kYIzhsOvixVaA54MAHc9CXkl8N4xpbKgU8lohsIl/t564tq9pEYu8wpFG8qWiJm6eVwgdgY4roBRD6AoSzbWcru7SCBu7oZNZBmZbOLpYYJgU5Evp2xgEDg57Hh73vFsvsMpw9TYgF77NsRsubYxMTfV3dR4XLccKmjLQ5/FxdAWT0DXLKpzHxaXRovnMdkLnJ4cI/0NofoH7cen5sdbsSVLi9+eLFW/zJwMPF4sCr2/RBAO6EY4LXCxWG2GLE0d4O3Qw8O0b7dNGSYGvz2P8/nyBeVYjCmzsBzYedz2MtBuFo6dq6xqN9drUBO93NgvjTuc5vtGuQYIxvNj28ajroVakJWmnVXIGOBZHWclmn7mOFgFQIzxMSt0M5xjFJea1wiIuENgcux0Xvz7o4OmG1Lvb1sYmOHLxZOBdGQ50m1KKpo9vxqtN8OO+h4OuB4uzRtjdboTNRKtNh/tjaYQfmt/L9dD83qIa/0Wd5T6MC2yHDno6gUi1QNzt0MFuZGOSEEpqepXQEXjU8xDYAucx+TGaRoaBrLQ4AypFQrNaKswqidNxQulGHUIm5lkNqWhBe9Lz8WRAcchlrRW202Vs7m7k4PkguDT6Vkrh9+cx/upoilFCFIK9jotHHReMswY5bNMtzAJX1SQsOZ5meD1JcbHItasCCQIPOi66vo3tgGKHHYtjGBf42+M5vj6nxZpz4NluhJCTjVBZSziWaD6nxz0PgSPwh7MFvtMjxtAROOh4ONRJbpFrYZKW+OYibha40BHoehYWeb2SuObbHPsdD3uam/x+muF4nqHQaPY4LdFxLfR9C13XwiB0ICUuoa63bYSVUlCOjT+8m+BsQaj6KCmRFHSQ6fs2nvV9POn7d0pEktpD+HxRYJisqreN4GMnXAr5rkp6+9jY2PVn7jpVuWvxhmf5U+AIPzS/t/dn/yG92derlgrfnC/wdkyC2cgV+OVBFx3XwsmM1upUN7WBI/B8K8CBjnpfr0Ve4WxGB+M2OCF0I7yjOaLXCUovFjn+8+9H+Po8RllLWILj5T6FA5n1tOfTJKt7g0PLPKvwZhTjRCPcjAH7HbJUC9emPX84nTduQH3fxi8POghdC7VUeD9N8VoLlAFav7q+haqmxs9s74629zzo+RsPqwYRPl/keHUyx+ksa6h8Pd/Grw67+JNHXXQ+MNgiLWp8P4zJY1m/p93IxfMNVL67FCHBOb67IO9ogFD+J30fTwZBQy2RkgR0w6TA6TRbo0ZY2O+aMKuf1kG+XQ/e7JfrOm/2h+Z3rbKyxtcXMc4XOU5nxH887BKKZwu24gSxHTp41HExy6uVuFyLMxx2Pex3HCQljapXPGA5Q2AJcA7Yno03Z3O8n+Y69AI47HjoBzZqqcA5eV++2F76M+baZuZE28wAV3stZmWN354u8O1FjFFSwLEEDrvEmy20utgSHL7N8cV2eElYFxeEpv72ZI6TeY66VogLEvk97Xs47Pn4cjtommdK15vi9ShFyRiKosKB5qWmBYnRPEvAt0lscaib8TcjEnuMkwrbIdn67HdcPB8E8G2OkzlFbZqm66DjYrfj0AFknq+M5w0tou/bGCUFjiYZFkWFaVpiGJcIHE5ClsjB074PW3A9Kl1thE1Ttx066G1o6sx92W5ATzU1YpKWEIw2jkddDz/bDbEbbQ6+uKooTEOjV1e8t3bDaZLeTAKdqY5rYa9DvN3bRoZe98yZRvgiLjBc8xk1yvud8G48yx+yHprfzx/5bdc0JRTYNJiHXZpYcc5wNs/xZpwuA2rW0L9NFRcVhjGlrLUP0AxoUiS3Q+dKd4aEMfw//uYYRxOilwU2rc+cscaT+KDj4ovt4EZ3lqSo8XayREYBAjSe9lenehdxga91gihnwLNBgCd9WnOlUjjVn0O7Cd6PXICRfqTtjmFQz70NyY/9foCLUYxRTNzjP5zFK0DJk76HX+yFOOh4H0R9ysoa7yYZTubLvavnWXg68Cn2+gNLaZT33aSVjsoY9rsunrQsKo03+zghqsc6NSJ0BLb13vBTo3Y9IL+X6wH5/YC6WOT45iLBNCNhmGsRj8qzOByLIy3r5uHdCR086XvISomjadYsqAwmS95D6Aic63SetuXYdt8HKysoAG/HKV6PUkJ9OS0KrrZaC11CE79snZRNYpFZSK4zWD9f5PjDeYyLRY5hUjYLYFbWSMoaoSMoTtiz8NVOuJFOcTbP8TfHc3w3jJFVChOdvva47+HFVoB//KTXLGDjpMBJWuPbkxkFbyjVxP/OswqzrNKeyRZCV2Dg2yhqjXrGBZKiwn7Ho8YtcvF04MMRDK/HaSPgM6j1YdfFNCNxWlvZ3CQDhQ4UgONZjlFS0MIXF9SoBQ4Oui5ebIfYDmxq6jY0woYzuB0ureyu8vs8WxR4P01xNM2II1wreDbHduDgl9qL+K4KaMMRNmPcdsPpCq7HuDZ6vg0GMow/0zSKujV9MJGhN6Vl3faZU4oCSMz7atsPmfHyTuh8VCjBfdc/1Ob3Q/zZP5c1u5YKb8fEvzU0gy+3Q+x13I08UIszPNL0o+sa0KysMUwKDOMS01agBkCHRnP/tidr5tq+H8X4199PMEpKSnf0bWyH5DBhCw6Lk23Zo+7VrhDt9/FWW1ia9Ws7sPG47zcpb1Ut8e0wwcl8lQ9tpkBSr9FvJ2nTsDqC4XHPR+QIDJMS53G+MrXpeRQ3v6tjpNe/N/qdMX57usDJPIeUtDdtBQ4Ouy4Ouh52Agdd37rT823cit7Plihs5JKY8bbi4atqmlITPGw89pdUi8d73UvxzaYRHiarlLObwI/PrR6a38v10Px+YFVS4c04wZEWiw3jHH3fQd+3ELkWHMFXojh3IwfPBr4eR5FnrLlgM+rfjVwUtcTpjFwEhGsj1p6RkSvgWwJvxmRflpUSrsUQOhYWRQXXEui6Al9sh/j5btg0UJu8FjclsFU1Jf4cz3LEBTWggVb6jpMS86wiWoBn47BHDe0m9CMtKvztyRyvThc4W1AzaQnyCX65F+GfPO5ht+Oi1/Pxu7djQmy1CM62ODzBIUGoxzBZukZ0PBuhw1HWCowxDGPaCIxwwyAigjN8exE3i5tvc7zYIlW0sSo7W6MBGNeNjo7/PNHpSBdxAaaAgQ7r+GonwLZGv01TN4yLFYGZ0J7IXxz2YJXVlUKXeVbheJ7h6/MYp/McmX6NyCVroV/tdz5oob+p4dwKbN2kO2AAhmtKb3MNO6GD/StCAj70mbtKcGQCVsz7ug9h3ofWP4Tm97782T+3NTsuSJ9hnu2Bb+Nnu2Ez8RrGxSX076B7OaBmU7U5sJOkbKhlAHGLzQHz6X4X0ylRMSqp8NuTOf7meIZpWsG2GHYCGxYnkMSzBYmYt8Nb0Z/ySuJdKzwC0B7qfQ/beq1o86GBJRJu1qFNhwHBSVdx2PWQFDXOFsTxNddokh9/9qgHS1tfrtcwzvG70wXeTlIsMvILNuEbBjHdDkn3cNsJVyVJqH00XfKXTXLpXufmOObrapFXeDdJV/bhF/td9AQ2Ui0M5cys+TeBH59bPTS/l+uh+f3IMgvuJC0xSsjlYC8iLuVW4IBzrCCOOyE1wbbgOJ5lOJ4txWAWZ9jvuJpKwQGXeKPnawgdQOhdXtWIi5oS5wBMMooDjVxaUP/ksNPwy9ZtZoDNIzQj8JvlFdmD1RKuzcHAKJ0srdDzLexEDr7cDvGk729sVspa4tuLGL89meO7MS0yrsUx8Ak9/vOf7yKAgiv4SgSoYAyDwIYrKFp5mtHnOk5KcpRwBJQCHIuh49qIywq2dp/gOlXuWd9HJckb0zRZHW0HZ5ASg8Kum+K7FsdO4ECBRmVH2tO4lgo9jzaaX+13ms3G3AMGHTCcwTB0kSZ5swFsB85GWoERXnx7EeObYYxpSt8hY3SvvNwL8YvdqAkMuWuZhnOYrI43OUPz3rZ0I3we55fSslzBsdtZ9Ru+j2cuKeqGsrEuAu155n3ZH50Iddf6h9D83ld9jmu20mN+Yxu5TgMACP17O0lbCZubAYGrqpYkAB7qRqiNCA66HhylSACtD3LzrMLfHs8oLCOt0PEthDZHVil0PQJLtgMbX2yHt/r9ZU1TxPbeYTzUTWrbm3GKdxoJtzUSvt9xV15nnBR4O8ma8CTOiGv7pO/BtQSGGigwMdJh6CJLC52et9kreZaVeDNK8W6aYp7XmGcVHItjJ7S1o45BwalZvE0wj6FuvG1RWBxB9MFHN6D3N1WbauEHJHjruhYeX2NR2QYYrgI/tgOKiP8xD/Lt+rH7pE9ZD83vj1xn8xzfDuMmvUspYLfjwBWUpy5BdAmzTg58G08HPrqehbN5juNWcAJAI6dfPh3ArmsoRapiQlKpkZY65SYr62ZRcQXHKC0wTc2JnmgHL3cj7Eaudo0gOkRbjGcaRiN2MBvI9yNjo6bgWgKCMYzTkugZWUURmR0Xf3rYwcEV47tS573/7nSOP1wscDYrYAmOx9sBHkdEK9iLXISOwPEsbzwvHcHwdOCj59kYJWQq/15TBZKiRi0lMu1nud9x4QgO1+KNIGQrsPGk5yGtJF6PVu3gXmwHK2pi42O7zg8OHQFXcOR1jXfjDGdxgapW8HW63Z8cdrHfXUUgspKauoJzHJ0vVkalPc/CVuBgK7Q3qpkpqS7D704XeD1OUZlDkSAKx6/2Izzuf5y62mzYbeQbWI5xt0M6RJzOc5zN8xXkOLAFdiIHP3vcR5UWH/QeNpX5zIZxgVlWrXxmkY51Xbd2+1T10Pzevu66Ziul8P0oxc8e91Fn93f/bKqikvhuuAyGCGyycGwjrJvQP1o3bi9EbXPcR3GxMq0zB7mt0MbAtzGMS3x9scD5gp6/gW8DIJ3EwLfRD2w86vp4vuXfqqEzoT5Hk6x5Tm1NZXjUdZHXcgUJ73kWfr4bXWqwF3mFt5MUF63PYTuw8aTvo+eTR/vZIkcKhuNh3Pw9EyG8uyEtMykobfRsQf7K86xCLSV8R6Dj0jSJAejesCauf9brqLVxxHjcu93B5aoqKom5Al69mzSHGdeidf46jjhAn98wponWdQDDVTzxH6I+lz7pU9Q/uOa3qEil//Lp9mfzpVa1xPfjFMdTWowu4gKexQnJtMhxQCqJ09kyJrdN6F/kVUOJqBVZr5RZgYOOh4OuS9ZmjfK2wCSlII3TeU70AM+i0IzQxvtpgaNZilpS87SnF6ntkDidgS3wfpatCONMQ97mkbV5tMYsna6TKBJpIWHrU/g/ftylII4rmuCjaYZXp3N8fREjqRWSrMJ+x8WX22Tb1vMsOJr3axZzzzK0BYowHSYF3k1IzT3RRuyTpIQQZG22pyOkbe0e0ffJdmhRVI0dnEkYer5G3TAb2dk8v2Qr5lkclZQ4nWvLsZpcK/ZCF3/yqIMvt8OVcV6/H+B8uGiazXG6pMCY1zPo5ibxV1bW+MN5jN+fLZokKICawZ/vhvj5bvRRSW5FJTFKCgyTckVwCRCKZNBqQOF8scoHDEMXKKtPYgdU1pIsiGKizLTHy+v85U8xXnxofm9fd12zRwm5voShC1tKPO5595JGeF1NkhJ/uFgK4nZCp1lvTG3i1IaOwBMdmHGX+8zyHXz3fopRcvkgFzoCkUPe73FeYZJVWGQ0SUtKiUVeYhC42AttvNgO8biFVl9Xxtrr7SRtpihtQdckLfGdFgQbl6CnA/8S/SAtaxytCc66LnmU70QOtgYh3p/NKYhnsTmRcj3wpqjoQP9euyiUtURZS3gW184by/fgWRxboYPtK9bEdk2SEkfTdNVWNLDx+A4Hl/Xq9wMMR0RDO5qmK2K+g87t6DHtg/w6wGAO8tuBg0hHSv9Q9dD8Xq6fbPP7f/o3b/B//stjvNzv4D94uYP/4hfb8O8hzeo+KilqfDuMNUpJ6Wgdl8IOzGmSUL6l3Vk7orOWFNs4lwqno1Uv3IPucsMoKonzmPipR9MMJ7OlK8Tjno8XW14TWTzPKIJ3v0OLkxk/dT1aeNvip3WF7SKv8M3FEkEIHYFnfR95LfHb0znejFMUlWrGh3/2uIsvt4OND3elLXh+P87w9fEUcUGLoXGkaBAPpZCUEo4gx4nIFfhiK8BAv6eyJjTim4sY31zEOJuXmGUlFBR8W+BQW3lFHnl1drWrQZzXONH8Z8EYHvc8POl7l7i5ho5wvlgVykmlUNcSk7TCKClggNGOK/CPDjr49UEH7oa0oEqSCHCYlBit2ZSZUdlWQM3wOuozSgr8/Qm5cix5esBu6OLne2Hjf/yh1R7jrr83wxMe6M1onJbIGMNEx80CtKjvReTre580Bak9jodxgVFcrqDyK+PFwL5VeMht6qH5vX3ddc3OyhrvphliCUzndP/4Nsejnof9zvXo2seUVApHkwxvxilqRQ3gU2012G4Ay1rieJbjfYtj6gqOw56HR93bBdS07x9zkBslBUZJueIckJVkx2gLBinpPboWbyZbg4CcYH6xF90pUGKSEKXDhPo0fr6Rg3FaNgEhrsXx1XaAnci99BrrDav5HH75tI9Qp3ICRHE4X1wW2W4KvKklTRPfTZbUBcaA0BawLY5FXq2uiYyhH5Bl5tYVlDGA9tqj6f0cXNrf3SaHCAZgJ3LwuOddQro3VRtgWOeJu4JAsa1b+kl/bD00v5frJ9v8/sf/t9/ir46m2kJGYSdw8M+e9vHnL/r4+W7no43876NGSYFvNe90nlVIygo9z26EDk/6vqYFbCb0bw1CvD6e4niWraTEmVH/QcddEbadzXP89nSB1+MEtTS8URsHXRdFpVBKiUUuIaVC5ImVMZNncVS1QlJWcAQHGGuEeEZccL7I8d1wGau8Fdh4seUjryT+7niB358vmgWs71v4zaMufrYTbmyIul0ff/P9EH/xdoLTOQVmKKVw2PWwFdoQOjWO0uIkAoej61nYDknA0W72pFJ4N07xd6dz/M3RrFn4LU784e3AQde30XUtdH1Cx+O8xqj1c0/65Ge8aQNuIkDjYgUlzYoK47TCRZxDKUBwDksw/HwnxH/5V/uwqvrSawFLdwazMbZHZdeNAmup8P0owavTxYp9nu+Qv/JXO8Tru83CfFUZ9Nsg1m3ag3lvz/Y7WCwyJLm8ZAfUdS3sdhzshO69jvmUUljkdePHuekzG+hG+GPoEQ/N7+3rQ6lqYcfDq7djHE2X0cQWJ/HZo+7N6NqH1ko4Dq5uAI0zwtE0Wx42NXBg0iivqqvuH4oMrjBM6ICZlrKhrl0sCng2h8U5ep7VWJDlpUTkWXje9/GbR907IZqLvMLRJMN5vNoU9jzyR0+M9/AVDj4ANAiT42iSkeuPTuXc6zgrNIMmkXKDveF6EI/S1/xukjXaAnI+IiCmqnHp+QaIlmXEupvea1mTQ0R7XTQHl4PO7Wwcr/ruzGfZ1su0EfHbNNi1VJhmmw/yBoja+oT0iIfm93L9ZJtfAPhX3w3xn/3tKf5wNifkkQF9jzidX+2EeLkX4cvtANv3FO36ISUVuTu8GaeoaolpVqGUCn3PgiU4uq6FpwMPRa0uEfp/+XSAUIdHlLXEySzH8SxbaUgGPjW3FOe7FHT85dEU31zEyCsFoe1nLMFQ1iQacwSH4MSFqySaU2ktFeZ5ibyS8CyByBUIbHrQD7suOGeEokzShkJw2PXwfMtHVSv87fEMf3c6R1rQe+x4Fl7uhfhiO1xJEjI3rFIK340S/OdvJhjG1Iy6NscXWwH6voVY+/+ONKfK1/SI51vBxkW7qCT+7mSGf/39BCc6yIJzpikVdD1dz24+t6KSWOiF1hYMT/s+DrvelSfxSpoNK2+oDFIpnExznC1oMw8cgTBwseMK/MlhB08GwbX3n7FUGsXlikMIcPUocJFX+Ppiga/PE0ySEqUOD+l55GNspggfGyyRFHWDXE1bwpc4zknA6NlgnD73SVqtoBs9b2kHdd8NjRkvtt+XqTaq0vftOz37D83v7etjdRqmETqaZh+Mrn1ITdMSX7emKAPfxpc7wUbO6TgpGltCUyaN0kyhNl3bTWWeK8MVPZmRjgKgqU7ft1HWEou8glQMnl4T//Hj3p2aYIPinqx4zQO24M1Yv72Gb+Iam5TJaQ28OZs3/34rsPF47XNoONAbLCGNZmA3chA6FqZpifezbIVrHLkCj7oeup5F4UAbKGPXPd+bDi5ci4cf3XBP3fTd5ZXE8ZoFmyNYE750l6bV8IRHSbmi9TGfgdE5hM790CMemt/L9ZNufgG68P/v747xf/2rU/zufIF5XkFJha5nNzzXw56H51shXmz52I3cjyLGf2iVtcTrkbGpUY3CtqvH8j3PwrOBj7JWDaHfnLTbiIMJNziZr6LBho+731mq8hd5hb8/nePNKMU8r1BJpWkVEtO0QuAIdDwbT/seBgF56Y402if17xnFBTgHItdG3yfHhEdd4qK9GdP1tH11H/U81LXEb09j/P3pDBPtXtDzLTzuuXg2CHHQdXG427mUEvaHixh/8WaCSUqLQccT+OVuhK3QQVLWuFgQ+jqKSVAYuALPBz7+9FF340b0zUWMv3g7wdtJiqSoIRWFaFicwRIMni2IDqEN3c063c6Dv+5U39gftRrhcVLg9ShBJgEmJTybbH5+sR+R4OaGxKKGHhGXGKXFpVFgz7do4Q+Ia1tLSjH6RsdIz1I6XHk2OWDsRy72ukRJ+Fg/yqqWGKclSiHw+nR26b11XAGu0wbjol7ZsDouIe47nyAy1HxmBklvb7hGdDTQqNFNv/uh+b193adIeZ5VOJquis+6roXDnnfn8fVtSimF4xmJeit9iD/oUnDOJpQwLpbon7mvA1vgsOeuUDY+5P6paolJWuL7UYLfni4a3q5rMdiCYZrWSPVEzrcFvtgJ8U+fdLEVXqYsXFWbmkKl00SlUvBscaP3cL8f4P3ZHEfTFGfzpW4lsCm9dK+zCjKZveo8vpz82I5AtwUjYGe+dK+wBcOhbiotzrSb0mXUtD0pG6xNfcZJgfezvImLBmgdOtSJbev31G2/O7Pmtj/Lxre/692Zc5xXEuMr6BGOYBj4jl7zP5ze9dD8Xq4/iuZ3MkkglcLfvp/h//X7C3w7SjBKCkhJ/M/IsTAIbfQ8G7uRg/2ui6eDALv65Pip+TbtiosK3w8TDDUHzMQuEg+XNagmFDCp1cpJe1v7zfZagrTTRY6T2apdV8e1cNBdmpOPkwLfDhOMkhKzrEJR1Yhccn4Y6TCKjmvh+cDHbw67sARfQftm+pQa5zVsztDx6T3+ai+CJRi+068N0Cjx+cDHfsdFWSt8O4zxu9MFRgmhyT3fwm7k4MuDHkJGzXj7gZZK4fdnC/zl0QwT7T3b8y38Ype4rbVG0r/RXr7mFn3UdfGPDjt40vdXGhypCFH/6/ezxqpNcEAqIKtqCMYQOBYEZ4hcDt+yELgCgS3g2aK5lpuaRiNEvNBCLVgCvz2a6shOhcARGPgOnm/5+MVetEJZuaquo0cAtIGYUX/PswmZmKX4fpRilBSYpnTgMZHKA9/CTuRiN9zs33vb6vcDjMcx5vnyvbXtygBCrDkDagkUtbwk/DGN8E0K77uWUqSeHyUlRvGqbRuw/MyuEtU8NL+3r0/h0JNXy/G1Qddsg651b35m7lptUMIc4p/2fTzubZ7+FJXEyTzH8TRrmjDBGfYjF496Hh7tdT6qyVBK4ZsLCo4Yp8T/7bjkOvNmmmIUl3AtjsAW+MVehH/2rI+Drnen3zFJS7yfZhjGdNDINC3Ptoh2EbkWvtwOLgEK7e+tavjRlz+Hw5576bk26PGmaHZXcGxHDrZ8G4UWRrebyt3IwWF3ue8t9Loz3iAqdATDICAe7UDrJ7KyxrGemrbvqcOWkHz9+m5bm9Dr0BE47F4+DNymaqmubfQ77hL8uIto7qH5vVx/NM2vqaqW+MujKf5/343wTiNhNRSlrwkO2+LoOBZCzSEiRJL8EddPjp+yJmmJ74cJZnmFWiokRQ3O0Fh19X0bf/piC/Eiu4Q4rBubA7QgnOhwDPOAC0ZhBXsdQv3OY0IX8ko22ey2AM4W1ChIRUjZk76Pf3QQ4WnfBxhrULWjaYr3MxLPGS/a3cjBz3YibAVk2RbrUVroCDzfCrATOo2a+tuLpFFB7w0CRAIIbAvb4TJy2FxPqW16/uZkjrFepAe+jedbPl5sBdgKbJzOC/z96RzfjxJIvUb0fAsvtgI81nwsswhXtcTbSYavzxcY6vcQ2gJgZFOXlBKBLeDaHAoKUJQw1/OoYfxyO7i1sXpVS5SWwLfHM5wvMhxPc7ydZJhlpUZILTzSfsGP78AbMwjBOCXf47YbhbHV6etFPy3qZnOa5RVmmk7R9230PAsdjZZsf4DgYtNicx16wUD3ilQKtcTK71rnBN53lbXEuCU6an9mgjH0fQv9FpL+0Pzevj6lPeVV6NqWphxs8pj9mEqKGt8Nl+E467Hx67WJsgEAT3cjdASFtnzslOXNJMXbMaWCJkUFT0/+Xo9SEu0qBcfieD4I8OfP+vjFfkR6jVtWVtaaEkF7xiyjEIfQsbDl29jTMczX+Xsb3vL7tc+h5xFVrk3HM3VdBLoJjHAER1xWGMXltU2lQc2NF3z7tQDaK/saNQ1sgQv9na3cU6GDR10XLw57TUDJXYuAh1V6iWh8+y8fBm5bcVHp9ats1nBTtmDY0qiwafSvqofm93L90TW/ppKiwr99O8W/PZrifFFglpdgIHWpIzgkAyxGTgKBY6Hj0Qh8O7Rx0PFvdUPdR10scnw3SpCWkrxrSwmLM7i2QBi6cKTEswGhmeuRj67F8ahLp1fzPmvNST3R5uSmXMGx13GxE9mYphVxkFvuDo5g+HaoI0JNk+1Z+GonwNOBj21NxI+LGu+nKf5wFuNolsGsNbbFsKsTfFIdvGFrTvMLHS5hmuD30xwlB44u4iadzbUI3djv0EjKUFOyssa3FzF+dxZjFNOobTuk+MzHmp9bSonfHs/JkSKnxryrbd8Ggd2M1yJXoKhJNHY8pWZ0ltGm0nEFTmY5LhKiVNDkk0HqDSZ06MT9y90IP9sLYfHr7wtzX5qRvHGmeD3OME4KpGUNi3McdB28GAT4+W6Eg653a9cGgwqPE6JHbEJetwKKXs2qurEOm+n4aM4oyajnW3CFaJTVtzGev2mxMeKecXoZsSa3DAUFhVpBc89pDWoiQz8gEvU2dZvP7Pl+Fx2OO1OjHprf29ddN6tpWl4S/fo2x2GXxEz35fQBkFvCt6N4GVZziwS2RV7heJbhbF7AC5yGD/+o65EH+UcImLKyxrfDpPE/V4qcZdKyxl8dTfF+lmvtBVGifrkX4ZcHER73/FvzRc1B4/0so0mTFveGtqBkt50Az7cCHOxej2rHRYXjaY7TRd6IYA0n9uAa1H5uotnj/FJgRMcRqCQ5/0i1BHV2I+Lwrh+Yr2sWjQDaHPaH2jLU/MjuIECkfYM/9Du77jCw33GxG7kfPGmuNCo81gf5vLrc6F+FCj80v5frj7b5NTXPSvzV0Qx/ezLHcJFjVlRwOEfkEMonOEde1WBg1AxbxKvqeBYp1yOn4RMZasJ9l1QKJ7Mcb8YUxlBLiaJW6IQuqmJpUP5s4KPr2Zd8CDmjfPL1xSAt641hBUSot5GXqlEDG5uyvmfhm2GMby4SxHkNpX9+N3KwG7mNgClyLWRFhT9cxPjDOdm6GR/JnmdpERRxT0PHwuOe1wjUsrLGpAa+fj9BXkpMsrJpWM0C2XUt7LeoG3FR4bth0kQXl7XS343dpOK5Fsf34wTfXiSYabpG6FgNz9QVHFshNXgWJ87yKClRVpJshywG3xaYpeT1m9VEi8iqGrVkcC0GRwg4FsOLrQA/2wmb+M7bRAAbrjc18wu8n2aI8xpFLRE5Fg57Lp5v+fhqJ8RB526q96KSGhG+jHByRuMyofm4SVEjKWvMshqLvILgrInlFoxpVw3nSo7sXRcbgwpP0pI4wxoZUUo1XOxaUfPpWeQ0sh7F/CkEq+33ZT6zMHTxs567MeL0unpofm9fH7pZNZSD2dIlwjRCh3c4ON5USpHVpJmSAcbZJrh2OlHVEgnjePVuvLI2b4cODjveR1GNpmmJb4dJI44yrkB5XePfvJ7g9+cx2VmC6fAhag5fDIJGGHab9WSWlTie5jieE693lJSwOCVn/vOf72LP4TceNiqpdHDTZoT1OtTepGWuB0YA1OAXtZlY0nswHN5NTWUlyS3ITH6ytWYxdAQCR6CoSKPg+nRwMfzdwxve601lprHtw4DFGfa0U9PHTrpuQoWJ6kbTwJsOLj/lemh+b6hJUuCv3s/x9fkC53GBpKjgCoGuZ8EWhLQKBiyKGpwxzVdUjSNDpzUqNnyiTyHcOZqkTRiD69mYLTIwsOYkGrnksbsV2JhkVZN6ZuqqcdM0LbU5+TK8gQGIHIFSKqRl3aTuHHRdHHQ8nMwy/P48xjQjRapnica70dUhDTuBg44nME4rfKtFV3FeIS5qeDYHYwxJQYuysXf79WEHP38ywMn5fMVcPikItRWCwdMhFZyRU8VeRHGR86zC96ME72cZRnGJtKybTPWuZ+FR10PHtRqO16IgpFNJoB9YCPT4yfhI2hyYZXUTg1xWFOeslMIsrzGKCyzyChZjyKVEXkowxhproh1N2djWG8xAI+Q33ZdGcPO70zlenS35fQwMXU9gr+PhaZ8ODHeN8DTxmyNNQZjnq7w4s0cYsQtA6Eta1rAEQ9e1G8/s0BFNbr1pLj4GRTCWZaZRN5w9pegeTMtaI+8MoWPB1tzhTx15bD4zaVvocdx5w3tofm9fH4tCKaUwTEocT7PG1hBojcUj517Q4FoqHE0zvNXONgDRvJ4PgisnA4YPbzx1R/ESWfRtjoPOh6PBJsziez0pBND4n9uC4++O5/jb4xlOFznSoiYajzlA6j1r4DvoB3bjNnRVlbVsUj5fj1PM0gq+b8HnDL857ODlXgRxw/QL2MyJdS2yZjzoXu+QcFVgRF7VyCvZOBcZsd7eDRSDtCSHjXFSYrrmTAOlEIYeJjOaiJq9y7NowvAxaHAlFS60NqetQegabc5HoMHt33EdKrw7CGDXkr77OzrgfO710PzeskZJgb9+P8N3w6SJB/Zsjp5nQzAGW6NPtVJICwnGyHqmrGlBCF0LHVcgci1EjtXcTH3fvjd/vkpHAk9rhemcGmGllH4v9DsCW+DpwG+Sz46mGU7nyxPmVR6HZixzNs8xSpZ8qkoqVLWElEDgUPqOGSuexwWOtNn3LCOErO/bTUylxYmnRUl2DKdzol3EeYVFUSMtamRVjVJKcNB7ebob4klI8ca+zXERlziZ5aiVgpSqSZRrn2YFJw7zfuSiksSJG8eEJs7zqokIpcWVwkCGSYHjKb1uVtaNsnkdwWcKSMoanAOudoToelajkh7GJdFIGABFC7MtGDjj4NpKbiu0YXESozzb70BUNXq3WGjKWuLbYYJXp3O8nWSEUpSSJhCas/ak7+Gr7XBjMtNt7ieDuk7ScmW0WNYSWVmjrBUsTk19VkrkNTX5HVfA1QcRk7D24rALVlT3IhRtv7f2op1XNeZ5jaKiQ1loC4SugOD8k0YeP3B+b1+fQyR9UtQ4ntHat6J1iBwcdO6O4G+qspaNs42Zkhk7wfWD2Pq15ZXEySzDyTxv7u2PRYOljp9/M0objuvAt/HFdgAA+H6Y4NthjNM5TTVsi8MWDJFDOpeOZzXag76mPhnXofUyQrU/nMf4fpZjOKVwktAR+PVBB78+7NzqMGpQ+5OWVScDMGgFN103Vd0UGCE1jWmRVeCcnJPIy5hsLHeusTg1f3eSLgGCQFs4lrXELKtQ1hK2DljyLPHJ0GAjFDzofjwabCopaozTApOUrtHTqDawdMgwfcvH2mH+2PXQ/N6hzAn6b97PKA0nIQTRtjh2Qwc25zQCdQV8iyMpJSWnMUKkCu3SYAuOjmuh41rNeL+vG7CbTta3qSDy8HevR3g/zZqm0Nyj5mb1LI4nfXIkUCDx1vtp1iCZxuPwoOtdstkyKWln86IZp+VVjUlSQYFcAjqurROYXDInn6YoK4mkrFHVxId1LN4sXObB6rgWSkner3klUdUSs6zENKuwyCsEvoMsq9D1Lexq5DZyBLJKYqHpFgBxQgObo5QScbFs2hzBsBu5sBjDRULo7FQ3waFe1AVj2Aod7IQkAGsn6rkWR+iIRnxhmux5VmGSFg3ib5KWwIDTOQnXxklBoSE1eRCHtoWObwEKsC2yGNvq+c0Irb3QXEedMalC348SvB6lOJsvo64j10JgC/i2wNMtHz/bDnQjfPd7LCvrpuFsC+fSssY0LVHUEq4lENoCUqlGCOk7ArbgCEMXaZLTdQb3i8a2F+1pSu+tkhJzTdEopUToUECL+TwM8n8fzi0Pze/t63Nofk1JpXCxuKx1CB2BfZ32+LH6jbySeDNOcDKjsAPOyB/3ad9vAIarrs082yfz+0ODa0nON28nS/3GbuTg2cCHUsCbcYp3k6Xzi2sxuBY90xandcpMeAw1qufb6Hv2Rs69F7r4V6/O8DfHs5YdG8fPd0P8ci/EdnSzINg00yfz1eRMRzDsa27wTRPVTcmPWVk3mgbfEehqP/dDvXfdaDFZSyjHxutTchlKypqmVAW9blbWtO64NP190vOwf4v3elUZnvU6Gmzu173o47ji7ZJKgbs2vj+ZkXvTmkMG0d7sTzbR/tT10Px+QCmlcL4o8FuNuE3TAlmpIBiwHRFpvJQAlELHs+BwjkVB7gyMMTiCoagV4pwavNC1ELm0MVucIXJN03P1yfo211ZUEm8nS+RB6YhOgDU3sS0IqX3U9eBYfKPHYWALHHQ3bwRJQQlxZwviB2dljbNFgbys0dUPxhfbAQ67HkZJgaPJ0uJGKUKLBeeI88vWM5bmVZe1anxgM8VwMUnAGJBWEpFLTbCnvWvzqkZaSriagx25NH5XQJOQZMqzWGPaXkmFpKAG2xEcXW1nZSI3ic+3NF/3LN6M34zFTKE5wGfzAqUkPu52aOOX+x1sBw4uYhIpvp/mWOQV0oLG9a7F8bjvkXCyH6DOabS2stBoTq1BXAx6vl5pWTcCx2Fc4GSaY5jkYCAkwhYcjkW2TF9sBXg28OF+wKJlaAimGZ5lZMEXFzVmWYV5XsIRHJFjgXP6HHsdD1lWrIj+Qkc0jfB9IQltisREv7dKv7d5ViEuKnrOHAuhKxBoZKvtg3zXemh+b1+fU/PbrrSsCV2bL5X3DQjwkdxb8/qvR0mTFGdi0h/3PexuRzde2yY02DhZ7HdcbG1wSLiujDPE+2nWNJPtJvjtJNUhGiUmaQVLMAx8G0oBCgq2oPWz/TybZpjWKXqmtwYh2YpKia8vYvz1+zkutOe6Z3M87rn42W6Eg453K8GooVaczPIGrAGIunfYJerebfbMRV7pwJuiEfSOdUy0b3PaWyIHL7aCa6kW7fuyrQeYpCXiQq+RWm/iWhyBQ3vHV9th40f8IRUXFY5nOc4XeaOHMBzp/Y57Iyp+m1q3qZtkFSZJiXG6upcCdKAxYE2vpcP5XOuh+f2IMk3w788XeDdOMUkJYRKcxq07oQMwoKgVKVBdCww0Joe2/HIsSmGLc+KPMgaEjtXwYzmjsUzbauqmG3rTCO3tOMXJXC9yStFrMDSLnhG/Pe57CB0Sl53Mc5zO8qZZNRtB2zuxXfOswtkix8WCHv7zuMA8q/RDYeEXOjlvntd4pwM5ADpB7upIXjoxrwYOVLVELRWKWmG75yNOcoy137FrcdSKmvjA5nA0QjFJyYZNaA5oz7fx1U6AnmtjkpU4bzWySinUSiEvaVzFGRAX2svXJaoDA7TaF5jndTOCszTN47DroqglhnGJYZzrRaloNqnIFfjZTohf7EWwBcPRNMMfzuKGZzfLKlRK4vlOhF3Nv+76NqCAaVZe8uo1ASdmsVkXz61YPuU0wjrWGxljDIFNP28JhsOuixcDQoQ/tAGtteWRQYXnOR0kpnq8CABbXQ+qqtFxLESeAEUELMuI1YwH8X05ptRSYZ5VK81wVsrmPea11PQIQoVNsMXWFZ6+m+qh+b19fa7Nrylp0NbZqi7CtTj2I/ejkDuAmq7X47QBGARjePmkjy7HrVA7pdRGbvCmwKLb1KX9AcBe5ODZgOgQ7yYpzhY5Et3I1UrpNYdih21BlD+pVBN/bEowhkc7IUQtm/3LvCZ5qBuqFrkKPdaI67qP+1U11WjwxWIZnkH7CTWAt6Wv5IYeERc41dS+SVqiqinptONaeNz38fNdioJvrwnX3ZdGXDZJChxNcwwT2hPb7iNP+j6+2PbxpPdhQIS5X0/nl++H3ejjRHLXXVt7EjhpCZJN+ZoWavao+0Kk76semt97KEOH+Poixjs93pZSQXAOWwD9gPxy20peXzcfeVkDjIGDmmHOGJKyRlxUKGoJi3GEGhUWnBHnSvvImpP1bQ3380rinT7Nm4XC5gyMLdWwACEJT3o++oHdiETWN4LQ0WhwdNkyyFACzhe5Rp5zzHT6mu9wfLUd4k8OOwBAn5ceNzIQ8vC45wFgTZ69GZVJpVBzjuE0pYOD4EjLGnmlyHXAsRA4FE5SK9XQJYYxnVLpYEHiuZ/vBPBsQUlrcdHwo2dZhYUWNXY8ASiA68+dG2stweDZFjkgtGgiuxEt3saZYqhFJt9cJCuN/l7HwZfbIXZD4oC9GaeN80WhFIbzHKFDY82f74X4xW6Evm9jllWYZpf5twA1jj19QFpvhmcZ8aINFWKmRYyptgEyyI0tqPl8OvDxtO83IrwPqQYl0IeQk3mOAgwXU7LE44xswfqaIuPaHKVcfZQNfWQQ2Fci3R/13pJlM7woaszzqplAhDYhwh2XxFDbEYl/rkIzHprf29fnsGbftgwIsO580/Ms7HWWrjIfUrOsbJxjTCrnYc/Fk55/60ahqIiCdjpfDSwy6/NedHvaRlbWeDfJNjbBgrNm7yA6UaVpToSQMsYaVxzf4shqckwwiaOGN2omWD3fRuQKxHmFP5zHOJvnmLbE0cZycq/jYnALrmxVS5zruOd27K9n8cYl4bZIZBMYERd4M05xslh61ANkGfd04OPnOxEOey4GGtm+qaRSOp64xOtRgreTdMU20bYYHnU9PB8E2O846Pl3BwCuux8+hBZx22fOhARNUgq4mmRVw002FdiimWh/yLXddz00v/dYxsD821GCo0mGoW42XEFCMN8RzSiiqCU1VAzN4in1zcI5dBgEQy0NKiwBqIYWYR7kFc7V2pjpqipriaNJpv12l1xWwRjySjaNsWkUTUxopseCJxvGguthE6YMCvt2nOJ3ZwuMW+lqh10Hv9zvYju0L3kn9jyyOdsOHRS1atSoJeeYzjPk1ZKrZXFC18tKYSukz+Gw61KcsuCYpiWOJineTsj4vb2ImVhOMCArFSZZiaomVNAojbue3YgVDZcVoGbds4jnXUqp/w0hxI/7XrNoS6Xw/ZAiSE/1yNKI3bZ1gmDft1FUNUaFwt8djTGOCT2VSqHn2Xg28PFnj7v4aieCa3HklVwuNGl5yY7HFqx53a5nIXQohvl8od0s9KK70A1fosVrTUyoRX//sEO+yMYV40PHaEUloRwL372f4vWYzPaNQwNAh4LtgJCh0LGIptP6+22vzY9pyjfV6mdJ99k8J65wVtJ3ZZrhnYi47NuBs4IKPzS/t6/Pac2+bZkD/ekaymjWv9s2aZtqnlUYVRKvT+fNax52PTzp+3e6zxd51TTqhstrXG/2OxTGdJvn1/iqGzcdBpoKPh34cPTU6v0s0+uFRKZ1LW1BcMe1KCTJtWEHDt6ezjFJyxWagnl/oU2aDbOOzTISVO9GLjqu1eg0botoJ8XSqrMdXmE8c2+LKq++XobvhgneTFKkLQ1J4HD86nEfBz5Fat+loTOi6G+HpNVo244FjkDPt3DYcbEdkZXoXRvGTfcDAwUW7UbOtcI+Ux/6zLVpcRPNF67X+sLQEQ095j60Tneth+b3E9UwLvBmnODdJMMoLpBWEh1HQAgGrk+/gWM1YjSLM31z6M9VKVia98oAZBVFvZpmuKiXfy90RYPecQY82onAqxp9Tyt0r7jBq1ri/Yy8f8sWl9Xi5FFr+ilHMBx0vcYTVyqFUVzgeJavWAa5Fm9EIpvGglKR0OLvTmZ4PVo23pEr8LTv47Dnoahkk15nXrMdyNHt+nhzMmuCEOZ51Yy0Z2lF7hCVRKgRuycDH19th9iNHFSS1M5fn8d4PU6Q6EXMtQix6HuadwqGQsqGw3uhI5rJ3cPScakWFm2eslKQINTALFC+zbXob8nrmiQlvr5Y4N0kwyKvkJSy8cd1NS8WFVEFTucZvh+lmKaEsgjtm/mP9jv4s8fdlXhSM4KaapXuemKRpWkSZloAkBDvbEGoN5RqDj7zrEZe1YiLGlJRI2wSjx5pTl3fv7vAYZ0bd7EgS6R30xTjZHkoMQh937MQeRYUGARbtREzCydxhe83ajyvZHOouIgJMV/kNRZFBSmXqHWkvUIf9zx8+aiPMi1ufvG1emh+b1+fi+F+pQOBTjcEAu12qNG8azJXvx/g3elshQ7BGXDQ8fCkfzfvbuPMczonetjKGDx0sddx0PVupgOYJtgI9QBym3jW9xE4AifzDO8mS+/koqI1ireeVQbg2X4Hvg4ZMh66ZorVRidrqZpwG8EYKinBGVuZ/BgEczdybzwYGJHc2Zz8f+/jwEI2dpQ6avYQz7OQZRV8h9b7LwYBdiP3ToE7JGws8N0wwdtxinlRI9GfTeSSE0VHC8IpQdRe8be/rsx+fbooaCrdojpuh+TDfxU/+L6eOamIejbV08B1f2EGINTXaSaYnxoZfmh+P3FN0xLvphnejhNtKl2h65LHIGOMrGRcekg4iPPFOdP2WsvXCR0BWzAwMCRF3TQ3deNmQAxKzhl2+gHSZLmAdlz9sPgUwLF+wqqlwvEsWxGj2YLGWJVUKxYzO5GDRy3Ob6YDMU43jAX3O1fbxiRFhd+eLvD1RYxpWqKWJH7Y1i4LgvGVBs5wkn/1bAt1tmwyDGo3TmixNxnwk6TCIi8hOMdWaOHFIMA/edLDYc+HxZm2hSO6wSQrm9CInm6oXIscHZRCQ6EgsRS9J8+mpnw3siEVaxCNWioUlYTU0diC88aS5lFvKeiYpiXeTdLGlH2RV+CMYW8QANVyQ1BQmKcVjqYpzhdmsyDbtUddD//4cRcv96NLm5lxYJikRP1Y92809JnIEahqhXlRLTciHR5B3OeKGr+cPDItwZoFeEsLxIxjwsckvM2zEt+PUrwZpzidZ8grjVToRti3BSJHwBIctZRw9Gdr7o2eZzcUiQ+NBL2qTDM8Tsn+7lx7OGctGtNW18M/e9TFC20bddt6aH5vX59L89suI/A9nWcrVKTQEdiLXOxGzq0alPa1LXJK0jTpbIYO9qTv35m7mVcSZ3p9bqOunsWxF62mYl53jet0iIFv42nfR9e3cLGg6N+GbqAAxyIry7SUjRVY23LSiAerWmorzKXrTiWJ0zyMC1Q61dHS69VO6MC1RYNg7mmv9JsQTOOZezrPV7x/zYHAUC3u0ggbz/XjtMLv3k2aqSJjOhDKd/Ck7zVhIbf97szh6mSW4XhmrD8rFFoc36a1uRZfATVuWvvKWuJCW5a2PwdLfzd7HZfCpj5yonVTtS3jzPe+xpJA6Ig7N/p3qYfm9wequKjwbkIN5khzWX1boK+trjhn8GzRNBCezeHq/71+Y5iEGc4oDW3aOkXVUoLbNtI0B2na6AFZR8023VRmDNPOMCfBGHFf26EHoSPwuOc1RttKKUxTPRaMV8UHpJbeLD6oaol30wx/OF9guCgw003gdkg8aaWAUtICGNoCYeTBquuGEtG+LsM7GsYF3o5TvB4nOJ7lmKYVKikbQ/NfH3TwT570MQjsxuroWHOa05IQT66/A8Nnk0ohzokXer7IkVe19vXl6PlE0TCWa7V21jAOH5ZOBgQjtfRhz8N2QIhDXFQ4mmQ4W9CI0XFtJEkOX9upmZ5Vab4YxYnmmKYkXDOCyBdbPn7zqIvHXX8j4pCVNaZ6g5ll1cbxo8UYSkm+xpZg1FxqQYvQB7JxWmKREycdACLdCJt/Dnzixm56D7d95spa4v00wxv9/cVF3TSavkNWc44gD9JaUnMQ6MYYIASusQ68Rx9tU7kezZ4vchxNMpzHBWrO8d98uYNB4NzptR6a39vX59j8tmuals36105K7HkWdnUjfNUBcdO1xUWFd2NaG8yrbQU2nvT9Gy24NtUiJ0Hy+bxYARYi1zTq16OpeSUbJxkzmeu6Fp4MfGwHpEk4mpLLjHm/kSOwPQgwHCdYtFBeVxAX14QfmTLi1GlGPrqvxylOF3nTBNdSwbc4AkfAdyz4Nic6UkiBRoPgZqcHc2A5WzsQuPpAsP6ebqp+P8BwFONskeO7IQU2LfK6oUwZWuLAt7AduHdal4pK4jwmW9FZZvYnibKmmPuOazW2cwA1812PkNOeZyN0L3vTtz+H80WBs8UqP9hMMPYiF0/2uz/IM2e+90l2dTPsWVwjw/R5fqy12kPz+wNXVtbEmZqSMG6oObBbOmQBumH1dVIMA9DxyPlBSnWJSG7sRagRoNMUbKsRGJjIY8MvVsClBdgVnFBh88A4AuO0xLtJ1oz1GMh31uIMs7xqaBLG7aDts3jVKfs6tME03m814jHTllQdj5BYqWhzcVwbvK4bZf5+92oxg3kf35zH+LvTGd5PC+QaVbUFw+Oejz991MUX2wH6vo1K+18aYZiU5AIR2IS6Z5WEVPRep/rzuYhzcDC4Ntl6Pe652Om4kAqotUVbVtYNRaKj+drrCUB5JXE8zTCTCpNZ1nxeWwEFYMzyqhkV1VJhGOd4PUpxvig0JQIkFum4+GKLxBg7kYP+FRG/RbX0T55q5NvcVcanMi+J+uLbFMDhOeThS9HNFUYJhZHERYWsrBE4VuPV3OYcExorbi0MWfkOW0jFu2mGuKiQ5GRnZ1uEQgeOgJQKlSQ+tiMYfMdqNhff5pRQ9YmEFkUlAdeCrYM17lIPze/t63Nvfk0Z9f35IscoLhsggIHCGfYisiVrP5c3qerfTTOctoTKHdfC0/5lAOA2ZYCKswVNMcx+wgD0fBt7kXMtL3YTXc6AIXsdF4UOTzrR4Ulh6EIWJQa+AzCFUbyqUfBt3hwO1pFLMy7/5iLGN8ME46SgAy9TcAQHdHQxNcFERXra8/GoT/70N9EOmgNBy5kHIHHWbkRI6E1N1vp3Z0Rn7/VnEOcV4ryGhELXW2owjKXpICDdx01Ne1oubUXTUgKKprKVVHAEg2AcQqy+hpnwdT3rWhpkXFQ4nxc4XeQrn8NOP4APdecDwceW+d4NPWa6QUDnmEbfX/Ytd3kWHprfH6mqmpJrjnQTPEpKxEWFvu9g4BPiSS4DANfjXaGtoHyLo6glxkm1coI3VlGP9zpYzGgMNU5XIwuVUg0ayZkWb63dMIITx7PrWbAYwySrMEqWp3mT3mVQUlMDnxJy2hHJV4kPrkIbjKn7u0mKqRZIzPNKc4IsbPcCHF0sKIGIM82DsrHfcZrEn6segOEix98cz/E3x7OVVLuuZ+FJ38dXOz52I0Jw85qswtoOHduhg44rALAmtS7V13c0zTDVXre+Tde2F9mIXGrcHYsBYCT6KCp4toW+Z8HVVA+T2tTp+nj1boyjSbZip2acNYpaNnZicUHc3PeTDN+P04bPxRltYs8GPp4PPBx2fW3d5Vyp9K20VdksrZpYatNoG4eJqlLw9dSh71vYi1xYnCPRFAvjUrLIKeqbvhu6V2zB8HS3Q1x0376Vn+d61a1x6LlWYCdFjbg0PG9qvAUH0lIir0hQ51gCgcPhWwKcM0SuUR0TX/g+IjsfBG+3r5/qmv0hZUbY54tV/q1gDNuhjR3Nt7xJpAwsJyJGbAYsrbL2PjDq9jo+6MCn93cVrWATXc4RDI96Pg67LhiAk3mOaa0wnKTNdVOTK5DoGOK2RVboiKYRXm86DUDyzTDGcFEgKchykihQRAc0EyJH0PrzpOfj+Ra9H35NsI9x+jlfFDiP85X31NF+vzvhZgrLdfelaViNn/AirxHnFTLtUd/zCcQxOiADGFyn1QFWbUXX6YGu4LAEQyXVJVcgw63tutSEb6ITTNMS54sCF3EO21smvBnP+x+6EQaWU91pRrqWWVau2KECtE+2OdGRBuuuqofm90cuY5N2NMkwTguMkwrjpIDnUDiDpznAHED7NnYFx05kI7At5JXEUAsFADRJWj2P/Ep9myOrJPkNpuXKSA6K0EmLM0AxSEis0UPBgAb5TPK6SWdzBSe/VglMWtQLWzAcrKXuXIc2XKU+nWeG60qNd15JuJ6FKq/AOUPaSufxLI6OZ2MntG80JVeKhG9/8XaCV2cLGlFVNEba67h42idOc+QICM1by7WYA1gN/TACjmla4u0kxXejBKOYGsGiUghsjp3IQaBTzhzB0XEFKgmM0wJSQlv/EHXgF4/78BUZyJv7op3ksx06eNz10A9sFNUy4ncc06L9bkLJTXFOKXKMAXsdF19sBXjS9zHw7SbZ7LoFzHCyZlmFuT55x0XVxF5WWnDp2xxbAR08ui4dGqZpSd7VBS30hST+8/4ghKqI1uIItlT6fsAIy6jvh3Ghrexq/YeCVrhWnweOQC0J2UiKZUx1oP84Fm+sl4wzxoc4Wjw0v7evn/qa/aFV1pKaq8XqRExwhhf7HbhKaS/x62+JWgt3303SjX7jH8qNNFOW9YkdZ8AgcLAbOpcQa+AKuhwjS8cnfR8HOxG+eT/F8TRbEUh3XUsLmRmGcXmJLhK5ouHjrl/TOCkam8xaSqSlJLG2YBguykugj2txHHRdjQq76Hn2lci2cSg6nxe4SIoVxHFTI3zb+zIuqub7Twry9Y+1loLoClZjgbrJxWnTutQ07XGB4Voj7OmpsCsYKoVLEz5TdFCwG8Arcq2GygjXxjdHU1zE+Uqz+WM2wqaSoqbpZUp0iXVdS9Pot66tfR89NL+fUc2yEu+nxPFa5DVGCdluDbTZvqX9ZqUWJJkyY6OOK6hRYxxHF4uV1w4d0VhFCc6aNJtNFiS2oN8DRg9XUS3TxmrT7GUlBKPxcuQIHHZduDbXfNAlGmxsx9po8F3Vp3klcTzLcDLLmpMog3amEByztMQwKTBOSxSVahaSJ9qUfOea0WBeSbw6neO3p3Ntv0WNrisY9rse9iIXoStQ1wp5LVHUEjanlB5bUOPXzm0vNYf5m/MF3owoIjQuJaSkqGHfJhEh59QA9lwBxjjigpLeDrdD2FJht7NEgxc5pbadx3nzWYWOwKOet4L4GJHbcJHjd2cLfDdKcaHHWHlNgsj9rovnA78JKjGhErfZdM3rG2N5E5rRNpbo+eSA0POWgshKaaszi2M0yzSfWjSLLECHuZ6/TIa6azNM/pkkdjQ2biZOGwAEBwSjdLu01I15UaGqCakPHAFfR40btXHPtzWSfHN/+tD83r7+mNbsDy3DtzyPaa0PW6Kw7cDGTngzf9WELL2fLg/Im0TJH1JFRY3weqN+UyM8SUq8m6YrnvDP9zvo6cOuSaA8bdlvGbBkv+Mgq+Stm06Anvt3k3TFJrPvkTNNXsolGNDak4xod0+vsSQE38yPrSXZbJ7rSOT2Xhm5Ajuhi5897qFI7ub0stBWmiYZtZYSSUH7i8UBwfnKGP82YVftRvhisblZHfg2iajzGvOsXKEwmmIgLUfHs/B0rwOVl3AtjmlG73lTI7yjv5v79GO/a2V6Smymspsa/TbF89l+F1Va3CtV7aH5/cgy/M/3s6xBN+dZhdClBtbTY2TBOApZrzQfoSPw1aMeWFEhLamBptPx8mNqe6b2fRuZVrObm2adaO5aHA5nYJwBSiGtJMqaBFgj/d4AEoiR5y8JO4jnRGUL1tigtXldV6ENgjPsBA52Iqfxp5RKIecCv307ahocBhrP+Y5AWdV4O81wNi9WlLd9z8aLbR+/2IuwdYUgSSmFk1mOvz+d4804pfAMHYzhWhx9z0I3cBDYvDHzriTxgU087uOet4I455XE0STFd8OExvVJgUlSAIzBtzSqrBEAWzB4lkAU2MjyitLFPBu7kYvDnoc97bVMh4AlhcTi9Lkedi9HgyZFrZOUpvj9WYyZNqYvKgnOGbZ8G4/7ZHze0b9rK7x9xC+FRRD3+a327q1MzCYzdmXEyQIDbNdGEhewNcc5KaqGceNZYmVTM6I10xDfBc3KzH2fFJiky8NdLRWqWsG29OEO0LHHhAovtOOHb3H42mEidIQWX9J7ucpW7aH5vX3ddc2upcLvzhZ4cdCFXdWfXVLUx1Za1ig4xzfH05XQA8EYtkIbu7dohA1w0m4COy4lRRqf9g+tvJK4iGnEfmUjHKwiqW0hrx9QYx+5QjvkuACwTKBsNaZbgY2DDonCJmmFi0WO4VrTGTqUnrrT4ggbLU07wMm3SVdx0HExzShV7+04aUKClEKT3tb1ycu94y4txToarDDNkWmEL2LS6pg9NQxdoKywo4Gbu1K65lmF83iVd1xLibwiu1Nj89j+Dttx990NzbCZjF1saIRdQVS77ZCABhLw0t4/01SyRtiuD2Wu4A13OHIEpAJGSXmpEXYE06/t3Ipz/SnLiOiMXmaWVSuThTB00bcYvtoJ7/S6D83vD1C1JErE8TRrUqgoJEKhr8fWjuDwbQ7OGOKCRt3mhjVjo+3QRlEpjNKiGcm3q+MubasCh9DbtjPAOjIc2AKe/p1gwCyt8Hac6CabfkZwhoFPC0gNalJ9m+ypIneZNtMWH62jIabajfAXhz3MZunGxd63KX40dC0KGxkmOJqmKKrl+x8EFl5shfjZToCtcPOmkJY1vhsmOnWN4jfNiD+wqSkiD2bi/o7TEmWl4Nl0Wj/sevhyO8Bhz2uaduMoMc0qFFXdLMBlTUhzLalZrRgQpyWg3Rd8W2ArJJHMF9sBDrseBoGNcVKuID7AMtt+Z8NmJ5XCt8MF/vJohm8ukoaaUElAMIrU3taNb+haOsbaxU54e7/KqpZ4O0nxekTeoJRSqJpG+GArRF1UqGuFSnPPfZvD02h4WSkYWp6rDwemzIm91xKM3ObEbjjLo5h8oVfDQBQ8S9BEhRNHbpqVxCPWPptZSWJC870HjsBe5GArdJtm2OLsofm9Q911zb6IC/z9ybxZ17quhZ3I0ZSu+7U/+rHK3D+Z5sGeL4qVpDLTCG8HlxvNdhng5Hi+5AUbn/a7pJxdVdc1wj3Pxk5E2gIDABSVRAyG370br4ikD7p0YPdt0azlF3GxQp3b77g46BCYYKKH200nQGvyTkjBFR3PWtHSmEZSaIDgkQYIjMjNOC8Z7nBRy4YzauxHDY+0o5HQjmvBMV73SUlUA84akTJAa8WObgAj924iLIMIX8TFyj6tFAn8iI6ASz7ubUvTnm+h09IytBvhdWqExRm2ddiSEUdXUmGhhWbKtvD+YrFKlcSSUhDpRr+oFeK8Qt5qhI1G6aZ79ocqpRSSsm7ofNIS2HF4cxi7bT00vz9wLfKqafaKusYkrbDIK/g2ocG24I0FWhC4eHexWFkk2hsGA4gmoDnA7fvacDEHgdO4SBhz6quaYU9HXHJAZ85nGMVlE1drRsq19gx2LU6NhE2j+0c971L6UGoa4TUbln7Xg6tIfdr3bZS1wsmMVLVmsTP0icMOLXZvxim+uVjgzSRrkEnOiJLxfODj6YAEYesbQy1J9PbtMMHxNGv8csl0nPhDrsXBGX0/o7RaicH0HY4nPQ8vtsLGqL79PTafo6Jo5bxWyBRwPIwx0RzbRAdNKEVis53QxV7k4OVehC93AjhC4Hi2+npm4zCby3oVlcTrcYK/fU+m+rOMpgRSKViCI7A5fNtC4JCDBYU5eHis1eW3RYUv4qJRPCdFDWUJjGcpfFs0IS/GCaOsia7i23SvgC0RD6XomtqbiMWZFmxcPQbcVHFBdJ+hdhRp38mu4Oh6S7vBvCJx4TRdfhdZJbWIjlFDrFGonz/qo8NxZ9Tnofm9ucpaYhgXyDnH27P5JdtH2ryp+fmp1qb9yDTCF9oC0pTRSRiEbZO2waxdbWSVAdjSh9oPTaNrV15JnC/yjc9S16Xgnp3IweFuB6Nx3FA02k39VmDjUAuVK6lwtsj1wXm55vc8CwddT9PX0Dy/w2RVLOcKjm09fu+6AqO0wtEkXWnStwJKaDTXHxfLZnOWkWtNWkrSgDBy8emseeO7Fl82yY6Fw90IR+dz8phf4y2byOcPQUKTQn//a2AQ12CFLYgbbGhc7TLN6abQiHm2pIi1/54ROZr7yhYc/X6A8ThGWsoGPZ3nq+iwKcEYBKdpWqHXSdta9WK/7p79oeuB8/sTq6qWOF3kOJ6SR2Fa1BinBWpFC07Hs9DreLClhCM4SikxSaqNYyPTyEx0WtoouUwab3OFu54Nphu9aXq1BYnFGSwOzDNND1ASWUlUicgVsLVDQFyQGt+1OLquhccDDy+2fOxF3grq126E2zZuzak1ctD3LEyzCifar7eNBhtLMQD4fpjg22GC97OsUQbbFkPfs7HfdXDQ8Ro6SHvBm2Uljqc53kyS5tprCfR9C4PA1mg4+SGPkwLv1xZwx2LYDR08HQTYjZb0ibPF6gL0eCeCyksUUuJklje+oRcx+RWXkri7rsXR9cjl4uc7EZ4MfEApzPJqReG7iXPdrllW4vtRgm8uEpzOcizyElmlUElN+RActiCkX3Cy4NvyHRz2XTzp+beKCi20IDNjHO/O5kR5KGstTCPuc+RahDjkFeY5/TdP0w88i8PV3p6CcUioS9Qcg3wY65tNYS7rVWnnDEORWFcPd1yLKDU2hwKI7pKUONObEVm80SLv+xb+xRdbeLH1EHJxU33Mmn0xijHRo+dRUl5qNLYjBzuBc6d0rc+hbtqPTCM8Sohz3/4AO7rR3A43B7xMNCAxbCGrxmrRJGd+bJkDyjAm7UX7+dzfCuBKhR0tjppnFd7PMpwv8pX3Q2mY9H5mWYmTWb5yqDdhQfsdFx3PakTUF8llRNMWjOLjNTB0qi3CzO9r7wvm+tOybhph06CXNYnpBAMswSE4mjRVU8bKLXJpIiUlkFU1pumqGxNNQ3UDeEck1Hz/w3gVcQcM4mtBaLvTqQbG1h+yQIMOphn2bHJsGm54XQYSYr846MKq60v3Vd2s1VWTspqt9Q5FReLjSluGGmDDTH/p+7k7On5f9dD8/oSrvahVNTU+cV6hE7lwtKrd2J85giGvJEZptXFstB2SuCctJUZJ0UTltpvmdpKWSaxpW5DMs+rSA19LhXleIiskwBQE42CMkuxszqiRzuqVptuzOQ46Lp72/WbBpFAPBtt38PXRpElGMyUYQ18LRUKH4yIucdrixnK2zLjfCojn/Hac4tthjGFMNnMmZc6ICrYCB33d+Btksaxlk2hnFoxZVsLiS46qzTn6AX02k6TC0SxrUuwANFZhxm6LM3KuyMoaYeQhjvOGy7sVECdrlBR4M04J5dabwqKowLWIq+NSot5jTYsoDcouiFbgaI/l/Y67UZ1rKDbfDxO8naSY57SAVloo144GdQRZhjEAruZ5P+pRDOte5F65kPX7Ac6HCwxj2mCM9ZNSClkpYQnA4QKc6zFaky5HyDDntEkScmwjcgV8i0MqIF23KAEd3AxN4qaEIHMfjzVHfp37LrieiOjvWCk0qVSn8xyxAv7Fi/6d0+Uemt/b1/qabfy2hzEhgZtsH7c+k5HrTXWX/aisJY3c9TPUXqM9y6RkXk4sKyqpharZypRsJyS3lg8JzthUlVQrBxTXX9pluRanMXhIgMG5poNl6+9Hi31rBVxoNLiNfge2wF6HpmCeLXQI0BIpbQMAZt/qeJRmOWyBPFddv1lzh3GxOh1VqklWM7QC5liYL/JLn4OhIxpqm1SqSaU0zaX5ru5CRyn0e7tYf29YIs0934ZgwDyvtWPP5YmtSYfreCT4swVrrCTN6xqqEXnO0/d2FYJdVLJphhd5tcKxraTEPCNBWlHX8CyikXnabWcncrEdLKkXP0Q9NL9/BFXWcmVc5Lo23o9iFLXUKnoS6bgWx27kwBEcSVFfPTbSyAlAfN6xjnZtj14AokgMfOdSYk3W4tW089uNeG+aleSYYHMErsBO4MLRD97xLF8ZqQQOUQz6gYW+5+BwJ4LSp2wAzSYwXxsLkpMBNazjpFxBgx1BSW/7HReBRr7P5jneTFLMshqLnPi4lIRHzZOjRW/UDJN1WYNOxAWSosIsqxEXJRwhGi9bWniJmz3LK42uVkhK4phF+tTe0Wl2tmthOE11ahn93q5rURpSaCOrKAP+dJ7j7STB0YQiMBd5pc3fSYV80HXxqOvDEqwR/xnO8nbo4PlWsIJ6tMuMM9+OUxzPcsyzEonmvjqck1c0oGOc0YjHAEK49yK3oUm03SjWn7mqlhgmJS4W+SW0yKC9juCQII/mYVJikVfNxAAAuObj9rUzQ+gIWBzksLG2MrQtfQx/7yoRkeEKjxP6s86T9yy+Ihrt9QPE82zja11XD83v7eu6Nds0P+Zg1f6+TKNhNu/7jr++j/rQ/aiWZMu1iQZgC4YtnwTD7QOA8VI/mWUYtlwZfJvjoENBFfc1lpZKQTk2vns/vXRAEYw1kzMGhqGePl71fhZ5pSPsV0VWfRPM0bLKjIuq4fmvI6WBzWFxjrzSoItev4yF5UHHXTksmWZ+GJNouT1tMP7lVVbCEkBWKsxzokmtrz+F5hVXUqGuFVybN0hooOmL23ecWhjv85H2EW5/LgYQ2tZuUWUtmwP7dE38ZX4+0tZgZBGpAMfC69PZyn1lvretcJXfvanSssY8WzbEJr461qDGXAMbjqUpb5ZoLPI+RDx4l3pofv/IapFXiBXDN8dTVFIhr2rMUhqBBI5ohEKG+uBYNH7fRIRfR07avrKTpLxEujdNiFHom8aqqiUpLg1VIq0wTkmJn+jGmHM6nT/peYg8gaSQDd83LWuUtSIx2XYIUZPnLmd0TZHmPxWVRKaVq+2bItKm3rWi02d7YzSI6V5EdmjjhCzYLhYFFjpTPSlIYd5rCSFcwdEP7ObfLfKqQSfKiq43r2rYgiIZjUI9ciiXvmxcBpYUAEsw7A9C8JoW5bEOPnEFh+9YCB2Oxz0Phz2fUu904t/ZPMN3wwRvJinOZnmzwEhNKdkOHRx0HLi2IARARwJ7NvkaPx/4eNTzVkQS7fvpfFHgaJLiXB8ykrxuuHC2FkhklURaVFjzVIctGPH+Oh5ePu3Dk/LKNL6R3sBHa6IWg2Z0XRrtzdIKp4scZzNqmteN3CmnniYToWvBEQxFra4UbVxn+G4qK+ulp/LauB0ADrZD7LvizvZSD83v7esua7YZ526iCbTRx9ska/0QdR/7kbG6GibG+3r5XJgDwECv5wY8yMq6oVeZ9ZyBuLH7HfdKUfBdylxbc0BJloEP7Qr1Wl5JqRFCtXw/oYMDPQlTIN7vmeYbm0dRMEYxxx2nsZ4Elkj5aMPaoqAgJf2MiXHnDNgNXRx03UvP86bP2KCj7c+4rxvYRb6cXi1aDbGhDczyCkUpYVscvsXh2iQi2+0QEjq4oblcf2/Xfb6GxjUIyNkiKelzNk4P6+soQAlvrCwhONehGfUlfrHh3Q8C+9K0Yb2kUtpZxzTENYZxrrnEtNeb9tERDD0dnPWoS9qgjxVstuuh+f0jLJM1PowLnMxziijWSkdz45LnrND/m1whPItjUdCmsQk5MSlh5jRmxEOTdDP3N3RMM2yj7y05mFLRyW+akVXKm3GGs/lqqk7gCOyE9DBVksbiUikIx8JknsEWhAyaZrRdruBNrHNeSTgWa8ZNrg7nMDzkdY/hvcjFQDeWbQu2spaIcxKGMU5ip/bvNobijuBIK/LDLWqFqpaEyirA4kDkLjdbwQAwBilb78OxMJ5lZGXHmaaGUOPV5khTepGHL7YD7HXchjoxjAt8exHj1dkCx7O8WUxKSYv7dmih49CISydkAiDvSxKWUOoeCd0EQo0+G8XwmaZ8jBMSiCwK4uZ2NVWEQSGrVCNkSwrZNB6eZ6GuavS1gOWw42Fb01raTfd14+x13pxUwCQtcDwj3+GzRY54bdG3BCUW9jyB0LFhWcSNq6W6tFDfBh02mww1wnQg8AMXLwfenQ3fH5rf29eHrtlVTYf24QZudxvFGtzRUu8+61PsR0lRNw3fpgNA2+ObM5qinc5zjJJV14Xr6FK3qauujQ745OAwWaNvWJpbW9ZSU57oMXEFJ8tMHaB0lVUmhUA52sZx+b6btSUhtNTQLeiZJitIqRg6rmg0B/sdr6FXbPqMS8Hx/clso4DWoO593wbXKXTrDbFpKhc5oaQUqIRGGD4I7Kb5azf1N5Whbow28LAtTePaajXYBhk29mDzrIIXLCkrAD0vns0hpUKphW28tT62X/e2FpXthniSVjieZjhdXPaQZ4x85Pc7Hh51Pex1HER6f/qQ+tGa35cvX/57AP7bAM4AqFevXv0na//9XwL4DwGYWeL/4dWrV//H9dd5aH4v1/q1ZWXdEP7J35A276KSYBwrN5AxE49c0QRtrC+cJtWrPaKRevEwCWDrnEkGNFnm/Q1+qcan8fUoxdE0bVwOmBYyhS4HU4DlOoiTvEnnAnRDaxG/Kq/kyns1jXZWEfHeYgye5ho5FgeDQikBKVWjTLU4RXDuRS66nqVpAGRIHhd1k6meljUszsA5jWzaTbhnUfOaV8sFopYKaVGBc974B5u/Yw4Onm8jTYqVESVZq3GUVY3jWX5JmOjbJBZ5pl0rOi4hmLOsxNfnMX57usC3w7hB2YElD67bqIBV0wy7Fm9svMxhIXIFQpdQ7sAm2sy5UaLrFLhFXsOyWPO6nkWWcEUtkeYVEsVwNklWFjTX4jrSlPjYg8DR3/fy81zkVSP2aKMOV6FZ86zE0SzDyTTHqY5BXh8HBw6N2EJHwLEYpCL02eJsZeRJ9BOxYnVk+OemaqkA14YoV8ert6mH5vf2dV/o6HXomBk/D4IfFhX+1PuRGd0bBLR9ADBrwVZIlC5bsEbX0H7eTDDEbujeqeG4zbVd1ZQCQK0b4KKWsAQBD2B0oN3vutjVotv1fc6Up/UORj/SrjY9wjSvhXZ5ifOqAVhMoMV+h8TD7fvCXJ85ZI00Vap9aG9Tb9rpmsZ+K85rLIoKcV5jlBKX20Qhm32UsSXXeb9DOovt4GbBMbCkx5gD+zrK2xa29zSnVykFy3fw9nTeOD2si9qkoomalKpJFPVaNpWBLRrdTP8WQUqmSINR4Xia4/08x5kWsq808IIm2APfbvaO0BEIXXKSuumQ8KM0vy9fvgwA/DWAX7969Sp/+fLl/wXA//bVq1f/z9bP/EsA/+9Xr159f91rPTS/l+u6a5tnNDI+XxDSqhSlvUgpwThD5CyRLmOP1vcspJXEaAPnqR2Y0R7RmHjciU4EWz8VMxhzce1N2EKGK6lwscjx/SjBqbbJSkuJUkrs9wOwmhrZeV6hqGTjtBA4xNkaaIu2rFQNR7TWdmJZuSTllzXZrnm2gMUAzgghNjZW0MKGvVaM40YLNqVQaKsuizNILBFVgBaeUnO9pCTLMpszlLoZh36UGGMIQxejaUJeuFLB1j7O0J6TWwGln6VVhbfjDO+nGZJiuSAFDil6d0IbW6GrPSqpyXs7zvB3J3N8fbHARVwsebP6NN/VjZ1nc3DOUdUSjLFGTdxeZC1OC49vC5RSItXeuO3Pl6012AdbIaq8QFFJTLOq2VzzcnlgMc1w6ArsRS62AqdpOn2bN1Hew3gDmqWpKNvBqluHiRU9mWXkrpHTIm5+r1lEA0fA4pwQeaCxmHNtAZd81wAsuXFRy//zcLfz4PN7y/qc1uwV9HEtDMikahkU61PGuP6Q+5ERdxrBXFtIBtAzaMbjFmMYaoqBWfcZgEFA3uObUt7W60OubVNTav79PKsgFQUMhY4FV4Mxe51lMugsK3Gu6WvtJjSw6aC9iU+60rymJTI9KR2nJOY2lp49z8LzrQAHXZdS1664vkVeab3JZlvFvm9f0suYyivZUANO5yRyHsaX3ZgcizXXftBx0dMWku1wjk3VBAGll1F3Mw3pBzZeHPRQpsv0ukJT+uaaKrHI65W/W1SSkjP1ZM2g165FlJKuZzf31m292pevTRSdI22fOctKZJWE1B+JZ/PGcSPSgSX0vy29p6xOGH+s5vffBfAfv3r16t/V//8/AvDk1atX/1HrZ/4lgD8BcAIgAPC/efXq1Wj9tT6nhfRzqduetI3QyyToSM1DVQCggLA18jVJV2bUPEw2B2aYE+SWv0rcr6XCLCsbZHiTFUtbnd/TC4KxeDlb5JimJZhtYzhJmjG+I4iLZJJpAMDmDL5D47EnAx9Pux7AGeK81mKEupXqRVyjuKiahwjaSsviZMG1HdoIHEsjlEuFsWmEN/kwehaJKhRoNGYWiFIvsGlZQzDTdFmNerjT8TCZpc0JNy0pbEEpQiVD12q4adsaoSprhaNpiqNJ1nCkpVqKBQ3KbvwpI9dCVdd4PUrw9UWCk1mOtFpyrWyLwbWIezbw6doFIwGeZ3EIwS6JOcw9VdWUTJRXZGNWSrK7kQrY7QewNOfX4qzxnlQARkmBs9ZBxyzytj6IhI5Ax7ObCM2OSweerJI01rsD0mLcSSZ6zLvIK6TalierJDgjZDjUYS7GgxlKH2oYLbSexRs6Tb/r4WlIB8C71EPze/v61Gu2VJQIZRw/5mtNoRH4GmT4PizCTP2Y+5FBOsc6In497rbjknUgGK1lk9ahUzCG7dDGXudq7+CPvbZKo5aThITXqabAzTW4UtWKAhd0yMN+18V+1LJDyyqcL8gysn1toSMaRHiTd7mh9ZkG1lD8Ui3+pWAgB3/6YgsDLdi68hpa1JtNehlDETQ0wU0HCgMKHc9ynM7pIJ+0xL8UxCT0wZw0PZFuANv7zHoZoMpcZxvtD0MXVVY2Wp51DrJBro2obZ5XTaywVEpHDtdIigpQgKcBE7OmG+eou6Z4tr8fM6UwPuzGXs0AGmHrMGAi7CPXwqPdCDIr70yb+Njm978P4L/36tWr/5b+//8TAP/i1atX/4PWz3wBYPHq1avzly9f/gcA/memWW5XUVTqQzzihOCo68sE7z+Guuu1VbVskLFxQogg0QUqSM2LbDfCvj4973S0S0PbdqfVFQmNCm9pT+FgLdZ4mlWYJAUmyWWahPk95mTcD2woRWlP7ydp0+iWlYSEgmsJMKUaq5Z4ZeNiGIQ2HvV8PNvysdvx0PUsSC06WOj4w5MpLSrTlFLYlCLOcJzTw2RG7IPQwX7XxbNBgMO+h8CxkBQVzvVDOM8uJx95NoclSFw409HIaVljmpSYpMSxCx2Bjk98UyMYNPQKgE7rJplNcEYnW5dGTNuhi0Foa5/hEu+nKTV1hRHTmXjK1dGTbwsITt7Er0cpzucZFlmtG1YaYwlOjV4vsJvEt4OOhy19CMhKqfm9yxGd1IedqeYq25wQ7qKS1JjqSUGgT/+RK2jkajFqhuMCJ1PyHY5zI3qUsARvTvGhY6HrCXR8snXiDCgqpe3zyhX03Qj/Bpq3bhY80wyb+3CcllgYs/uCPJMLLYYJNQfa1raBSVGjqgk9ti2B//qvdrETebd+7gDAtsVD83vL+qEbxLKWTSO8qWEx9+wmGtdd63MBY25j+RfZHDWAqlYrY3BbsAYc6LhL4dN9X5txDRqn1IxmZa33khJFLZtGbye08WzgY6/jInSshlpxpr1823tV2/v+KivIaUao8PGUXHCmGVlBep6Fuqix1yXx8Jfb4Y2BK0QRLDdaipqDe78Rp20WkUmlMEtLnMzJ6ekiLpoDvLGGDB2KIw7dJcCyXD+XTXG72TbTkElaohQC42m68nt9mzf3/bofvvms4mLp/zvX3vOVpL00LmrtQER2rL7N4VkEfO13HPR1wNZdHEfMd2sEyQYVzkpqhkspIRhrQCzX4ogiD9s2x4vt+/Nmvxfkd+3nPQALAO6rV69WoMafykL6Q9bHXFupBQTni6IZK5vTHQA6vdlLTo8xEze+krEWAq2fIAE0XoH9YFUAByxRlyZJLr8soHMEw+PdDlhZgTMgKWsMF6ubkkE3OSMh1Ptprhc6rP6MZ2E3dLAbOeh4y/GILUiUMIzJf9KETOQlOUnEupl0LGoIO56F/cjFoU6q29EJeqYJ3+Q8sR048GyOslaN0tYEZ+RgWMRF42Qx8O2Ge1wrhYleKM34Kc6IXmD4uMY3kbxoWbPIEnpJiwEh5gycA5xtGrdR0zpOSOBX1BJ5VcOAJo5Yjpf6Wo37vB/g8YAaP7PAxZrDllbEaas4w+k4RS0pRKOqFaC5z319sPBtSljr+Rb6ngXbImR/mlaNrzKlMGllMGiUGWhEwYzYXB1BWmmuIAMa2gJwObyl3bgkGhme6o0pryVqKZvFtNDoMGdo6Dae7+BXWx76D8jvjfVTXbPbSOB0rSls4mU1itW9ZeKgqR/72q6qmyz/GOigm9fUXBjdhBGc7YQOnh10MV1roO6rGnqdbobPF3kjwK5MA2gL7EQOng8CPN/yEehGeKRtFm+KTN5UWVljnBR4M0lxntY4GsYr3NytwG5+301BQO1rmOiJQ/sBMR7jfU0RvIouUNUSE/06F3GuDwY0RcuquvGx34QCuxanJtkh6pv5szUI8e501tAXJxuE7bc5BFa1ocNR42vik02UvPHZN17unr3k8h52ic97l0kLUevK5oBhtE65doSqaole5OFFz8VXO+GtXxf4RJxfAP8WQPXq1avZy5cv/1MA//NXr15VL1++/A2A/+zVq1c/W3+tn+pC+inrvq7NJHO1G2EohbSk9C8FBZvz5sFe+jaSAMlYh22yh7pJANcgcpovPM1oHGdsZQDacCK9EJS6sWtjM45g2Ald9DyBuKhxNMtxPM2aZC6piO9psttDV58I9VjENMSuxTCKS7zXzbBZYMfaqo3rBs6zBHo+jdr3dJS0IzgJvnRsZvtmNYb02wEhnvOsQm0J/OH9BKdzapyrlt1P5Akcdjz0Axu+xZHqZrysZaPQLSrZnOhDhzjVHdcCFJBWNIJaloJn0TXb2squbcdD6t8SF3GJWVoirwhVqCpJIkEFCK4QuZSC5tkCBx0XT/oUGW3M28ua3qfwbLw/oxjQ03mOcVairBQUaFEyVAdyzrAQunZzmNmLKIjFtYj3aw4Lcx3NnDW0hRqC6/hs3RA7gqGsFaSipKGqVk2DzHQTex0XzfhWT7XoY53rnZU1wtDBn+6G2L7HnPjPrR5Eysu6icYlGGvQO+ILX89v/Jyu7bpqo4LrFIlUJ45KRVqFwKGD7FbPhw+1MXjjvsvQysZJgaNpptfRpWuA4MBu5OLZwMeX2wEGgdNQAC8W10cm9654772ejzcnM7weJfh+nOJkljcNImOknTnseXjW97EV2hstJdvVbmINzaNdFmf6kHV9M9y2Z5zo78oEbjTuSTqN1bcvuyYwALuDAHVRITSHfJvr4Kq6cbrZeAjUSZvXXavhNRtuswlFifMKSVk3NETGlsDZfsehZL6uC9e6PU3CfBZT/bzmNVnU7bkCTwf+rV8HuB+3h38fwH8XwDmA8tWrV//Jy5cv/5cARq9evfpfvHz58n8K4vx+B+A3AP7Xr169+lfrr/PHsJDed32KaysqgwivWsrkmiuqoMAZXzlNho5oOJddV2Chx2nmdLvpoTGbRWcDcpIUNeBYeHc2b7i77VKKuLpSSuS1amxZGGOwBWu8CBkoHe9omjVIYqabL99eNr9mMTDcXKP6NQ3tRIdynGol6iQlQYLUTWVHCwaNSA2gpJuiVshL2fBwXYsOEH3fxhcHXYiqBgMwTQu8m+Z4N0lxumYFR5QSC3uRo0d6lIpW1kuhxCKvNTeN/DN7vo2ub0GAaS/N1Xx2SrWj90pRw3UjGCxqEjKYTSIpyC+5qCVRT/Q9EDmWjiQWxAWMXDzSYRdP9jqQedkoibNK4nye4/00w7G25Msr2RxkFBQY6LtztLWdiXXe7ZDv5yBwVkQYxq7IjLtS/Xq2YE1DTFxyEumVkuKJjQOIp5t4cx/2/eV3Z2rdt9pYnf1yy/ujTXh7EClfX03Dki6pPu0yDUtPN8TrDcvnfG1XVRugaKOCSgMks4ye517kgde1VuFbDSL8qRthQCO0aYm34xRvximGSdHSdtCa96Tv49nAw37Xg2dxTDPtLnML73vg8ndXVDW+H6X4bpjgZJ5p1FGDNVowd9D1Gp/pdTHxpmtYb9zaddtm2KzfBjho9hOtaVD60CI4g+BALbECNrXL08JkzxKoJNEs0hZFz5QBuXobhO2bygjmptmSRjhKyxVuM6BtzzxypjKBVbd1vgDooCZtC7ysruVqb6oHn9/PuD71tRlEeD36saxlwxEGo/G4KeMKYRYOo8g1p9J1yyHBGfrecoxoHuj2tTVNSMubsD2SSUsTjSsJDdTKU09zibcDCp+Ya9PyRV6jrGQjfjKLgWPxS/ZWxgIrcjTXVJJ7gLHkGiUFslI2C4xjkTXPboeM05l+f3PdYCpFkc+Djou6rLGl6QQ7mvIgpcLJnFLX3k0zTJIChm7HOS0wXZeCGgRn5MOom+F5sfSPNGOvyLWwEzoQjKHW46D2g2SMy7dCG5EjkFVL54x5RuPFoU7Om2Ul8lIiLqn5lBJQ+jsMbI6OSyKOZ7sRfK6wG7pNPHHHsxpbmrySuIjzxnQ/LWrkGtWO80rTFhQcIVamBF2ffKp3QxfbkQ3ByF4tKSXmGfkt11IiLXVTXNG9Jhgj5w3BUFb084tcCzNsMpw3NJK9yG345+uLpVQKwnMgs+LOm/lPqPl9ECnfoTaNXdtlBJ9djZA92etiNvs01IAfqoyNHNEOqMmqpASzLZyMYsyyitYELSbt6bH2TuRcGZl73xUXFV6PEm2pma0ACp5N4SdP+h4Ouh46roBSoBTKtchkBpMiauPLRz0USbHhtxG6eTzL8HqUNB7kWUkpQ5Ferzv6n0bsZoTAV9Vtm+GrDlrAmvA3JarhenCPzRl2BgHypKA9RR9qDN1sU1l676m1BVql09uMMBjQwnbt/d/zbxaOVtp/+GROQNO5RojX20xbsCbtb1c7NIWaCnifQsyH5vczrh/y2iqpyCpI35DmAVJ6vMw5oXycs5XFzaTN9HUqjDSKXv1Ar3PLzGbxZI84v5vCLcwDPW81xOZ1SHWq88Zr2fBDfUdgL3Kw16HFjozBacMy11JL4nnagsMSDIIRn3TTjSe0ZVotFaZ5ibF2xKglIaNlLWExvTgFNnqeAMAbxLbiHBeTpdsDOVcIfcKlpLSeb6NWCu+nGd6OKXktLZaLqm+Lxt7MLDrGY7ioFbKaxFpQgKub4dCxGq50pdTKZ+toXvdWSJuUGWMZmsRwUeB4Tr66J/McWUUOFfOsRFoRv5eDwXctQEny5+y4OOx4GETE5TLUk45WbTsWx1TbDo0SQpoJ0a1JkFgrFBU1xzZfXdw8mw4rfR3M4tmiCbUoahKwAWyFx1vWxONloB671pSGOK91GIahtix53uZw4tvikyykn1M9iJQ/rgxHdKQt+tYRMtvi6JimIHCaSPqfckltRznNKgznJKZe5LXm0pfaalIgcAW6roWnWwGeDALsRHfjd35oVbXEm1GKby8WOJqkjRAZICCiq8N0HvU8DEIXnvYSHmrah2lzBGdEYYuWjfxVNISzeY6TaYr30xxxS8wbar64+d4jV6DvO0srtGvQybSge2usQ1zW7dAsztA1XHR/M/raBPdo4e8kJfqH0P70ADWXPS3IdrRQOi0o/Cku6hXBs6laKiQFTeOqmtZgW3C4Nm885M21Uy9gI7yFpWBR1jiZkdXn6SzD+SJvQKTmurU4uqMdQAyQFGl9jOtYH7SeXCdSfmh+f+T6sa7tumSuqhWdSd6qy4ev7Ss48MkBINdRymakZlTFZgwjGEPHoxFSz7c3JnEBhrdarVixpLoRnmv+plLU4PlawHXY9fC458EWDNO0wii9bIbvCg7Xpphjxjly7Qm5fno2di9xXmOW0wm71oEaNmcAqKnfCgmJfrQTYTLPcKFDNeZZfWkxczUauRPZjeF8VtZYFDUmCX1WSUH8O3A09ma+zRvBVl1LLHRTXtWyEbORhRdDYJNfpOC0uJvF3LhXUNrfZXuaQiMdx7MMx1Oy45mmBaZZjUyHXSgFMMrVIHs338Zu6OCw42IrcuEKBsfi6Hh20xBbnGGq7XjaYqNa6kODTvMr9LUU1TI1z9XIvbG+cQQdXqRSqCWa5tYRnFB8zeOt9SHAiCSkkshKtTJdsDndh8/3OvhZnxbYu9RPqPl9ECnfY7V55NO0AnOslfEyw1JA1/Uu+2z/lMp8b0bYNdOi5jOtnZhlpMEAKNktdCyKXd/y8aTnwb8jlehDyvB+340zvJumBMAUNcparehCDEIbOBxKAnmtUFsck1nWvNZV3vftMlOui0XR/C5qIGswjQpHM7IltAAAMG9JREFU7lKU5locPc/Se971HrltZHiWX546MOhYd01DMGFG7TJAkqEZGuFvuwxV0UwvOo5ApdBcR1rUiMsKaSEbNwtCj+vmerOyhsVpukrNMDky7EbOisf7TQdBk9B3Ni8ox2CeY57TfVXq9botUA4cgae7EXYcgUe9uzn0PCC/n3F9DtfWTlIaJ6uemVIqSChwMC2cwwrS2DZZbyy/9GYhbXoY15HhNtG+6xMF4KrNIm35EhqrGOIh16uqX4djN3TJxSGwIQRvlM+bxHsD34bv0Ik4K2WT2mN8dwHjakEG7KOkRFxUpJIWJDrrRQ66Fsdj7R7RcS1kVY3TOYnETPR03RIDGG/HsNXYGd5rrQClZNPkmbFjpBeURC9USUFRxfRzxJHljFwhTO68p50UPIs3zgmbkoHWP+uhjh+dVQrvhzHOFxnOFwXGCd0T5DoBzYsjj+a+drkw/o+m4Y9cC74lUCuilCzyeuVeUEo110lWTLWOuaZDBKUaLr2DiQNMory0rDVnkZBfwagJd3VTnNeyiYqmUA9qtpWi6OZ//6ttPLlH8cTnVA8i5U9bQeThzemMUNGsbLxSV37GpgCbrm6CbpNi9TnUVd9bmzN8sSjwbppilKzyOzkHtnwbj3oenvQ9HPb8FTrdpyilm/SLuMDxNCPOaV4h0baH7YAbR3DsbQVIFgUqRfqHau2LM644W8FlZxlgSSM0jbBpEONCQkpKB2171QJowB9zP1y33+UV0b+m+uCxyWPfs3izd3a02HudZnil8HftWs0hwdyj5j2kJa3VaSH1P8kJKNNUCqMjMSJvE/HsWuT8sBM55NDUcW/F0021NegwLnA2LzDJyhV9j+ta+PVuiD9/Prjxtdr10Px+xvU5Xluhc8Y3OT9IpcAZwMEujdwB6BEQiQOeHXQRzzMSOWUkstgkMAHoQTScqt4Grqaphi6RUSN8PMtwNr+ssrUtht2QnBy6HvkOE7e0viTe63l249Po2+TXG+fmxEuNZl6R9+EoLrXStUCpgLyotIsGQ+Ta2AltPB/4eD7w0fXtpQ/uPMdII+x5KbUll2q8DAObQ4Fp8Rtxfs0JX0HB4dTQmmQcABqlrjBMSs2XJnqHqykfNmfgnNBhikG2G/9mwRhZlPnE7V5PUOp0fbw5mWKSVhinBWYpRZm+n+U4N/xxqSA4NZsALYCedtJYJr0JuDY1+j2PrtVwzNqxrea7JQEHddeVJNEhocRkGWdijTkDfO0Q0SC+2lKNkF8Fiy8RCltQTHUtJZhl4b/0pItB+MeJ/AIPIuVPWevXVmk3ibaocn2kbHG2whm9yUXgx6q7fG90WM7xdpLhaJJdEqhxDuyGDg66Hp70PE07uj7N7GPLxKsbWkFS1Ih1swYAe/0AQsrl+1AKEgTymDE/56uTMxOUsi6QrWrZUL0aGqEWB5ea4sUFYHF+aZ+87X5XSdVYjc02aGUAaB95C492IqCsiOqwhg4br35j17npHhWctC4mCdOkfZqqtd+9aX5TjVoPE/JbT0raJ1fEbiDkmj5DCt4y/sxX8XsBmgJP9RR4khZIFcezyL5XwOKh+f2R63O/tusSZaC5tJyxxmO4fTNHkQtW1k2T1dULvnkQp3rDWGzgH9lCP4g6Re66cQr5QJJdzvE0b9LHzEsyZgRvJJ7zLA6p0FhqtR/wqwQIlbYAS8ypt6iRA/j6ZEahISk5UZiFySxIPd/CYcfDo76HQWDDFRx5rTDRSHKhU9YK3bDZgsHmHApKuzbIlUQ7BdUYjgda5CU4uSxIRX7KFDVKdmeMkfuCzQm1dy0Sh4U2pQAazpZB8E087M52tHJflrVsjMnN6G+aVk160UzHmPJmOkCfpSsEXIdDgBpQ11qOzcz7si0BzsiOzRW88R+Ftuczt5SUxHGGvtfKuuVZqptmronAxifS2NYZFIExoBe5+K8+7+NR748T+b3PelizL9dN1yb1WNfQBubZ5TG0EeF29Si761l3VrJ/ivqY7y0taxxNSOR7MstXuLYA0bR6noXDrofDrttQ4D4VRWQlDjsh3jJ3LFxMUhS1BOeAb1E8u8V5Q3uTCs06Hthi6Yds8RVnmTb9gEIsqkZc3g4UkVJBCIq85wBKqTYejjqtxrOzoYEFVsVv5v4yVLu224OZvpnXjNb2T+PVb+iF7ddpl29zdF0bkSfQ1UFNm8SOeUUTtkVBCX3DWMfat6zrTBlNhm8LDAKyGyV6yqr/e/v3dLs+xpPkztz6h+b3M66f2rUZO5rxmtAM0A+59mJVDPACB0m8VNa2uXH9lq9g+0Gk0155CRVsc5+6eoG4Dh2eZRXeTzO8n2UYGpGZ5paauMvQEXBtDg6gVkCtgxw8m8bnYKwR7/U0mt32AO33A1wMF01k5Nkix7tJhreTFOOkRFHJxp7LJK/5Ott+t0PJSrZgsDhHVa+O4IwNkWtT9HJZSszzEkPtttF+bAVHY3tj60VWKkINilJHQmvKQa0UHMEhdINoCTJM7+rG19AhDnciWFXdWNmtLzqGq2a8KVM9Eh3GtNlkRY0aAAfA9fsypxHP5hTYwRRsRkgLA/k4m+uyONNoOo3jTN68WRQ5p88oW/NjNn/XoN+CMwgwZNr+LSlqMNvCP3/cQdezr73X1+uh+b19/dTWtbvUh1ybEfEaNGvTONsWDJGzbH6uaoA+Zd3n9xYXFY4mGY6m5Kcb5/WS09lag3cjB3s64rjjWpfceu6jjMalFALfn8ya5rSopKZi0RTTuMpwDXgsCvIjr2sCSXydcmYJWsvbzXAbRImLCsOYpmWzDdHbtD5RXHyixc3rZXzT28KvTdMCYx/JHAtH5wvMN6DDzf7p2q2p3Crymley0dfMMtpn6rX+0FAWw6apFtdSemppaCImWZbCj/JKrrh3GI6vb/MmUrnrW43j0/52CFZUGxP9rquH5vczrp/ytTWqU21Uvj5KiUIXWZqDgRrcSq4iw4Z/a0QiXc9uFnvDWaJRz2Ze3W1Py8ZM3dAP2sljeSUpElq7KDiCNUEXtaQFsc2fdW1SO/d8G8/2l1646zXPK5xMSeFq+HEmS92gzSYdx9MPvGtzeJpCwQAwbhBSErEZVNqzGLKSxIHncUF+uUZAJonyETmWRkOBUpLHs7GTSws6pSfa95kzoggoAAzEsX28HaBjM/Q8okq0QwDWfZ3baARZ+hSYZURNGWsxR1mTuwUHoeK0gehmVwE1GBgUlKLDE2N0z+SVRF0r1CC6Q+AI7TJBftT9wNEbAgOURFzKS0JGs/AbGsag58NTcsXS5zb10Pzevn7K69pNdR/XVssWOpxvPvADywao02o2PqWY7lN9b6b5PJnlONLrIfFICRywBGuifTs6hcx4td8nZ9pcX1LURO27JMqlKRzntL8wRsmaxuvcUOGKSjXoJYUGkae5WSPboscmejspMUpXgzkY0DS3FgekYg0au6mBDTRPd9NBwVybSXmdm8nDBp99QMdfO0tOdLTWEJt13bxG25Fp5XV05P1Vr7Ne5t6fpiUuEkKIiepXN/Q2415hmuHtno+nkY2f7UZ3+r4fmt/PuP6Yrq0drzlJS8C+rIrmxl5Mi53WHxBfLyKmGTZcVMN9MhvFPL/itCz4CnKyabNIW6jlJC2R5EuuaFbJxjM41L6yRa2aRa+WqglZ2Op5QCnJMsezN/KkgFWxyDAmegZlmleY58SB5gAcneDWRi2J5qCjJAU134Ya4FsCW6EDW/9cVStMs0rTKRRK3RAzBthapetYDLWkw0VSVBgnxJEzal7jpiAsjqKsSdRmC+JqRS72O2TttBu61yZitWOHxzrONNYOF7OsRClVY1XmWhw914ZrE7pb1ySyLCqFUkrtRUyjQpMuRxnwhGIHDvGgI0dgJ3Cw03HhaZ5HKdUKBQag8eDzDpn336Uemt/b1x/TurZen+raMn04bUJgivpSAwTQKL7jWog80TQb94WU/lDfm5kcjZISJzMKMDJ8UtNYhi55sxvXl3aDdd3k77radH0mAdBMNNcbRQ4CFIT+jHPtyZ6VNE0yjgmORoMNJW07pKCmth/wOmA0y1YnAI72v+15BOSUtWqa4U0AEGdLD/vHex3IrNxITVjZP3Vk8ToVB7i5IW5HH5uApk10CfM6Hc9qphk3cXwN/YIa4wpJWSGv6LMWtoXnXQd/9ri38e9fVQ/N72dcf8zX5kceXh9PGyP1dVEaAFga5VPQo/61/24L1mqGVxd6s1mYDPJNp2VguVkY9C9sjY+uSj6q5dJ1gGgLhAIIxlDphqoWHNN5DgbymvRs4rH2fQs7kYu9iBrFddSiyYdPiYtGn83ypD7LKtRqKezijGvjcgkFoisogmnJxk3zaB3B0XU1gm0RnSCrZPOZSEnNJGes4dxanK5nqv2aZ2mJs7jAolQYzjPkpUQpa203xrQojagSg5BMyg+7Hl5sBdjreI2ieZOTxFSjwMOEBIOxXkAXeXUpnckEpgQ2h+CcTNilRF0DeV0jL7UKuZRNQ0xuDnStjo5s7XoUELKlvSktwSFcGz/vexttja6rh+b39vXHvK79UNfWTl9b6DUu3qCPMIhgO+b9qhH5TfVjfW+LvGrAiJE+jJuQhrSsIThrHF9Cx9JRv6xp0sx13ySou831GevOsRZ9l2sgi0mXJIofrbEGxIjzWr93mqq5JonSIn7rQcfDlo5f9myBqpZN0z1OLodgeC2ecce1UOgm0TSe7T3VcH7b90OkDxDhhvvBeL+bg9ZtG+LQXQqNgWXjau7Rq17H4sv0VfPP6yguablssJltoSsYtu8RsHhofn/k+od0bXklG3sgOtltOGELEnsxBtT1UuDU/AwjrlhHW8a0EQCzWZhGeJ5t3iwAQpjpIbR0yAQ1jErRSdsk6ayra8uKfBBtwdGNXMwXGVEJKtUoYM1bNk1x4FB88E5A1i97HXfFAmiTWpzsvOhPUhCtASDusGAKtUJD2wDQBHlYXDsbgGlBB0eg6RyW9gB2jG+xXnRci6PrWtS8W8SBdgIX78/nOFsUeD/JcDLPdEIcjafKWuqGVAH6cOA7Aj0dVnHQ8fBs4OPL7QAHXQ/BmtdlmwM50vZqjedkSWNF493LQc4O/cBuOMBC84ShgEpJFBUFg4w1mpRoh442Z41pEd5+P8C/99UWXu53br6JW/XQ/N6+/iGtaz9kSUVhLmaNW+TVpcmGKbPGUQT8co27rj6H781oQMYakJhllD6X6phzk1rm6NjewF5O99bj7UONHBvNwl2vrw2OEIhzGWAxtnaOdpTJ9D431E18vLYv2JzB0wfzvcjFQYf2hcAWSEuJcVpcmeRmrNgMOgzGGgCBOTZOhosr74dA22yaeyJ0xaUp5W0b4jbiHOrPOXKW30NRLZt008BumtQ2jbp+nave10PC2x9h/UO+NhMrOr0iKQ6ghYLpqFwj4rr0M2KV+9v2UWxvFoucnCWSot7YELt6tBY6FiKPHmbX4ktkWAsBDBKwDPGghVhwDgYgq2i8b3LOqw3ivcgT2AocGtNH9McgGrWkxX+q/R7nGgmuaqJlpMVSiGCEYpyxZsGZ57o5rRU4JxTUFkY9S6I+BmiLNg7fZnAtWnBcQUjF490OeFU3imGFpbXa+1mKN+MM7yYkZJkkBeYF/c5aUmMuNEdZcAZPC0P2Oi4e9zw86/vY75IvsqudHyzOsND8slGc43iWY6Y39qyk0IqiUpo3zDSvWTT2bQbF5Yy8lI0bxDwvMU6qJsY6KWvYlsD/6N95gi93whvu4NV6aH5vX/+Q17UfumqpyJLRTFJus8ZpdDhyxEr4zed2bcCSljDVVplGW2IAgqwlWDOitHaT326wDnYjqKz8YO60cfIwe5aZ0rUrdEQjjrYFQ1kbL+IcZ/Oi+X7aPaURYRt/3L2Oi93QRlGjabzXf1dbBN73LDw96CFdZJfuh/k1ByRHkC+xaWANut5GY9cb4jivVtws2uVafIns6kOIq+kOeSWb90X/XEWuL72O5oBHjsCjvQ7yOL/XSPqH5vdHrodrW5ZRrc6usUATjHwTzTNQSYlNz2HboqWjEV5z+peKUFraKOhhvopfZ0Y15iEkDjIjRNkSeHe+uMR5MoutEdBVmuB/EZMNzjRbjXYECJX0TEynb2MrolF9oBtwSr+rm4bYvFezARQV8XMZIxSWqBbAQv8d4mYplDUdMATnsAXx2NoLqtRo61bXR11WcDiDaxPaYMzLt0NnhW9nwjFejxJ8P0pwPMtwEROlY1HUKOq6QYcFMw2x0EJHG1uBhZ3AwVaoFd8ebchSN7BxUWMcF5hoJD8riYoidXiGQXRJJWw1KuG2Q4WnUaJaKSgh8PO+i8B9cHu4qR7W7Mv1U7i2jWvcBvU+sBxrB47A4U6EOisROp9WWPcxZWhj03QVHADIXYACg/TUiJGI17Xp8L9uBxY5S3Q42ND43ea9EFBhmuHy0p7lCk5hThqY4RqtPY8LnM9zsorUyZftYgC6vkVTw9DFdmhTbHOldNBTdUnLoIqK1lWNDJuDTft+MM3wVXvecv9aUhTaAANAIJSJSl7of141ZTX3V/tzJj0Nbxr15nU0beTSgSJ0MbAZvty+P8Diofn9kevh2q6udQu0NupqirMlOqwAQCemkZxqWevjlU3c36ySekyzRFDWf58pz+I42I4g8xKWILSWuE/1Rhujtsl94AiyjEvIIHykG+KiWrXt4hzwLFITh46Fvm/pIA5qwGtJ12rSdkzV0gj30GwAAFpOGrK1CFaotKuF+cRqBdiOhSIvdeqcgqPRWaaT/gJboOeTR+MgsLET2Ig8u0mUM+KKcZzj7TTD0STF6Zyy6Kd5SQcGzVvmIN63pz03A0egb2I4PQoecTVVg3NCUhZZjXlO04KyVgBTEGyJ9nOmPzuH61Q9u3HNCEMXX3YdDIIHwdtN9bBmX66f6rWZNc5ExS/ypTjW1HXN4TrX83OpdgNq0tHWLTjLmtLXupHXXB/nl6+j3fiZAKJQAxC3QR3NezFhEuvvBViGSZjDf+RZqGqJYVLibE6JmsOkwDS9DJIYi7idkKwpzfdRVBLMtTGbZys/b6KWjadyO2rZeKGbw5FpYK9CY22DEpuDgk7eNIckQztsN8OLK+gOwBJ1bsfZB44FwYC0XEWJYVvYdQX2O/cXTPTQ/P7I9XBtdysjnLrOwoVrdwMATfhGtUFMB6zxoNxV3hKAZlQT64fQ8LekWt0ozO8NHAFfCICbRXcZ23vd7/YdASkVxkmpE4qKxhyfks2Wv8O1yenB08rijkuxv1IST7bUamTyw10udIW2dWsHQQjts5y1xCVJUcN2LJR5Ba49g0tZo6oUKkWuEsZT2PCLAcCxCH3tuNoWLSCxn2fTz1RSal9NifeTFMezHMOkwCRdNv9V4wLBIBgFYHgW03QMi5wd9AHGs0WDXLdjsMtaxyYzQrg5JxqGa5Nt1G7Px58/7mIn+uNNeLuvelizL9cf27UV1dK1gLtL3ugmFM/Qiswz6Nt3aw5/iGoLBdf3iWbN1oFMJhiH6fXwqkZNcIbQFs0hILS1C8UNHGpjOzbLqkbTsU4ZaFuYGVF36AhUUuF8XuBskeFch0bMNoRGWILW3f0tH6ys4Vq8STSlxMzlezThS0Yvs8mdiATdS3TYNMabKIcAIdt+C9Fdb4rb95fRdSQb0N3m9QyXW79W5Fo43O1gNk0eaA9/TPVwbR9XhlLQTqvZZL1iaXWwTs6FhNIJb5df0yCtbbpDe3E3ee7Cc3ByvliJQN5UgjPYjEFq3rLhxlot0ZmpUKPTkUeWZia1bZqWGCYFFnmNouVuYH6n8SE2vsGuIIeEuqaGtdapQo7QgjcdirFsEgkVZSCOnXBtDKcJslIiq0h5XdUKjmCwLQ4pdeRwLcEUNbbQI0baUFhjY+ZpP0zz3mztX8wZGtFcXlEy3SwrMS8qTBNC3vNWQwwQWuNyDscmpNg4XTDQ9+s7AoKRUDIrdDa9du0wIz7XsfDf+c0BfvOoe6d77aH5vX09rGs/zWp7xRr0Lc4pIvg6rieFQ3CEtrXSCF1nb/VDVlUTpQ42BUFsiglmgJ4w0YFZpx+T/doVTbGhxfn2kjZhQnmuuu68kg1CPc02e9gb79yuZ6PjCnQ8SpTLK6kFwhkuYopVjvXe47oWsowCNWzB4GnHH1uLoI3Ww9FrsmmKDUXQNMNtdLhdWbnavMYlecZf1cQ6giFoI7utptigzub11oGl9QpDFzsOx/OtYOPvuqquW7PvFpfxUA/1mZXFWaN+NdUIv1oNceNMsPZ3HR0ooVqNKbksFLiIlz/b5sWZxng/dODJ5cPYjkBuI8WVpJAGU0wnlOU1URPodzNISc3sIq/AFvTMtm1rXu5FcIUxXCeulBmx5boRLvTfL2rTFLcCOjhRQ2iRKSh4QqGxSbN1oIZncQx8C5b0NGVCQUqyI0q0x25WMlSqhpC0qAaWWEFPpJJgCqhqING+wgrU7FqcN8EexgZIcI7dDkWeZlWNuq8aoYX5TLNKoihrFFIizin62STIOVro4haVboiJU+aFAgPQvUGfbY2aA33/Yel7qIe6qhhjTTPXzhUwqGAbxUuLGnktNV1szcFHI8WmQQwdAd/54ekTlqBkzX4/wJbNGxcHQ/8yPrpZJZFh2eCbaV7PoykTayVLxiWt7VNNuWiXOQwEtmgaQDMFcy0ON3KbyZMJfViPGl5/XVdwRJo693wrwK8Pu7A4I4ejrETGOb4/mWOUFI0TUNFC8G2L6YkoWWVSgAdN8NyWx7xraa/8lkfvErwQaNNu15tYQ8FLCh1YocV67bIFaVLMgcF3yBOZJoRoHI7i1msZIOX/397ZhViWXXX8v/c+H/ejPm5V9/R0ZsZMSAwHh2gEiRIVY9SgMPgQ9UEf/IA8SsgEDJgXjUPUiPEDQfRFmDcVRMhDHvRNUEKiKEGEHBH8zAzT6e6prq66H+ecvbcPa+3zceve6qru232r7l0/KKruvd1V+5yqu87/rL3Wf60SyfyuGTm2Z0PYFj9pdcEu2sbRnAUNmUv45U11w2EKOysxTJvasMGCwB5GaLYDQ7hgtHHeY8bdyx6g5qxWtjbhkZgAN3CFZoTYAPCoWKDW3d5cdhFKJwrrUDoPDdQewREHw8r52leztB6DfgxXWcSGBHHMw0NCADdcY11UDu+MC4z5/wbPXWpI87DOQQF1AI54eEhweNBKwfF5j7SC5sxxGut6O67iJpaQMTnmuuyidJhZ6pp2nqbbWU8jtmOjeCAIjY9Ouf43jQz2dhJ83wt7eGHUv9TfkGR+L85Veu+vGjm2s4Qb/0k7O1gu3w1TIFFMQlhzXKFY9jRHOp93fKH5irxqySFokQNREMTU0Ky5jMyjrMA1s8szxeG422I4XDPa5QfLEjjzBHeFncTgxVu7sNMSiVGN5eeUrB/vnRYk7EvaOZxaGh6klYdSGgq+7u8IDYKJaSaMDhLD/R0JTd1Lo45LyDxtUTwpL1busOhvIpyrGwdDvHM07jQxXwTJ/ApbT5/fSLfQ1HlOS6ppoi5TElQz6+CsB9qZWpAADYI21BEreJ4KV+BeK0vcCXAc5AaJwe29tCOKK9sVxRPOpkyrJqi063GPJhUPcqC75yY40eS2JCJ7mb00xu3dFForeMd1y/Pblt6j5Ia5sqKAR6NEDZwDojTCeFxwWYlFYWk0acBo1FPwwiCJNCKRbpTC6cziPk91m/JFkMpMPI4mFUrHWW/noLRueZLSuSqtg/OUJY61Rq9PZRrY66HiYR1F5bjBgrYQyTqnmRI1rcpWZp3EdRpp7A8TvHLJ7TNBEJYTGY39vsZ+v+ugUjnPca2ai3Ec+xaNy9UhM6ib7CDH78uKn8tgNA1U2uvFwH6z/rZXbbDnWpTl7rEQPRgk6HFzreUMc+ilOO+4I91kRMPO2M2dBC8d9OsmsONp2XHvoGQDXX/uFg6npzMkRtVevqNBgpdG/dqys2lEI/vOEy4TDAOdKElCzhBjVPBQcM5zUkjDaEqaJOwffzggX/cbgxT7/UYQK6XqTPE8M7brDOdh0rpRWnZuRvcnOIw1XrpkwuI8RPwKW0t4c7bH3Ja25fjA3arT0vGdfPeONeUMowLVunrv4ZVHadG8iedEMd3pR3XzBG0rpp2gbp2vg+WkJJ/bMYu6yvn6rnrG45iPJtxEwa4MFJxMnTEO3sfP7aS8dUQZ5UlrVv28q0Xai3HEDXTRUNUNFEXlMK0qFJYeT08d7p12t7WUAoaJxm5KdjvP76TstEDn5YTtbGj9FtZShvruSYG3ODvtPRBp1FuGwTOSBHqE3TRGzA4Q4dyRLRp5cN6fkLPEcdjOLC0K9j6+f3p2kpIgCKsn0qreQm8TYtyEpzQGARRiHGU7z36/0FwVhHG3dGr1wnhRWV2w+Trheuiw0xYSIXdPi/rfxi1HgxvDhHodABKYJcWlMKmycp6sPmfVmXUk3NQWPkajPnqRgveKdjVnFVQSYTopUFiP+2PK+LaPYxhK9lKDG4MEr9ze7XgCB3eG0FcSekoKS7Xfk8JhVnmMPWVvtVb43yNVu+zEvMa9XoSDPrlRHA4pW9wuWQje7iN0b5TafxPh2jfha19pPXSy2t+viF9BaBEbjYNBgoNWYjC8KYOFSxCMVCMcRGMjHiP2sw1lEw7NtnyoJ74393PTiLd5Wls+e70Iz+0kneaDkq3N5kUxlQXYemtrWlkcTVydKTY87CKUTyRGYbcXY9SPcLs1cc5yptmkMVzZFcV9hLv4FM7RzYDzaMYLVw4Tbo47mTmczLpXr1C3FWqQ91IKis45zJzHtDWuuHLkKlFYmpZ096Qg8eo8Yvb0DbZowTXj5pBqht9zI8Er8S7SiLLFZeXwYFbiaFzhzsMpThzw7oPVZRAEQbgchkcT76RnJUg7xgXxMykops2sw2zicDQ5+z3DgJ5eEMVREMh6pZ7FYfx6O8sdfHTbvrcn7DxztKDute1oMOrT5EqjFArrOsc9DTtZ1qOwZ2uL28d9c5Dixb0USpG3vHXByozWsag2uS6f4yTQywcDJEZR30pxtneltK5OgoSekwknFkId8bdO2kOV6Ll+rLHfi3EwiDHiz3t9smoLFpTn/U30hykeHi/4pT8BIn4F4REse1MOdnp4885DnJaUAQjBr3IeZ51+aUBHXfbAncTeky9vEJDvzAXJ0DDSfFBAvzFMOjViIRs8LUmAjosmq/BgUtaiclY5HE+5fOIBiVOl6K49bGftpBFevLmDXT5mw0surK/rt6iWj0YPR0Zj2HINM4q8govKYlp5FNZiVlLQdB7k29yKY0EUJ+xWscdZIuU9Su8xq8KxWcxKi5KdKx7OKrwzJu/nylEmlzIkUePvmxgcDlM8txPjoJ/gXfsjvOvmDspJk50RBOHqEC8poQgxLpSKhXKwacU3/5Y+FgnEiCdN3jotUU3LjkgO4utJ0Kq5RrS9aEMMrq8PZVWPXp9VrpOdBUgkhp3Bm8OkrgtusqKulTHvHnd1PO1YbwLUeEclFLQzaT01L4cG8Lpsr3MsXNPMzh2jQZ8cIIAz9bunJQ3KCBM1x0VV77ZRqRvtmh5r4N5pifhI8Wj6ZvpnEMb7PSrT2EkNelE3o5/GBpMVD10R8SsIj0kSaYwGcWf7Zr7QP2QwateHRcX+PAqY7XcBoLbhsR51rdY8YapZn4NECOiHgwS3d7sBfVZnhDl4FjT5jSYF2bru66SwuHda4u1xWdvmhPreXmzIH5K9iXvcFKG16vgEh2RxEhkkERDCTAiS9DVtoc3Y9g2ess7josKx9U3pg1F1VnzUjxEbqkGbBoFvPYls3jp1HhgXFU5moWHQ1+chNlSHNtrp4WPvO8T7b7Xa2AVBuNK060jnS/ZD3J20Y1wZnGlc3bvgH87OCERdWzKyMw5njcPXTyKOF603DBs55drduu+jsMt3BoOXbkyNu2HARWIUCku7dckgwZ17GpOquTGonF947QAoW6186GGhxmLrKbEwKR2OddUZBBISMaEG+6AesgE6npbAb1ugOU9lItRIWOG0tCg5U3w0YccJPUXE2eKIHYfCLuFOGuGFm0McRBq393qP9XtYhIhfQVgh5xX6B9eHIIbbhf7LDMRVawIaAMB7OJCwqxyW1sbVE85ijbS1BUjlAcmZGuPg5XvK0/QqrfHmvRPyTebswrR0OJrLVACU6R0khq1xDNI4Qi9StTtFCPbk4Ug/NzIaYbqwdWRr5jhYetCAkGDXxtUjvB1KW2/OkajdSQySfkwT6BSVmMxKi3EZLJmohm1aWowLuuA8mFlU7z24wG9TEITrwHlxFwA3x1okgxRv3zupRfGkonpSEp2L+wCCOE4jU3upt33VLyuOlWrqd9v9JqF0om6AbiVPmnKPbvwNmd1BYvB8cEZg27DYaFTW1aVwE/ZsD8J4Vjl49v4FAGPo3Fn2XR8XFJOdo7VBgRqQawcgGqBR97Kwrdt+v0cew0qh4mOqG/74WgJQPJ9y81uYNjgpLVACJ3XUB4xR+K8HM3zguYGIX0G4jiS8tT9a0BEdDMQnc00Q1nlYAPNzLhUU4ME2OyyO2RrNwsO6VtMdzgrWuj4uMkhjXd9p39pN8W0HfRweDHF0tFNvZ00rW48QfTAp2XLM1kNFHs4sHs4WZxiSiLqYSRgbJJFCrDRiQ5HXOsp8z8v/8LNn1qGsHGINti0jA/lYA1ppMqMHuWdQdl2hHykM4rRuJgzfv6wsfBThxtzvQBCEzaWOvfs99H1X5Iba2Lp8ovO15XKv88VxcN5pD95p9zdcpOa4XTrRZr7coy2KC+sbz2WvOlntRTuDe72UMsaR7pTKTblfpC4vqwyJ47nzVFShtKQpawBQD9KgD8rexuznHjLF+/0Yt/cMNYl7oGAnkCD0J1xCUVpf70SG62JpHezi/NBjI+JXENZMdMHmj5CpmLSEsQOafStGoRGSiu/svffwXrHtl8cMNGTjAc7WxwHA4f4E1bRkYdxsB44GMdJoh6bTMUVFNmxHU57QNq3wkL2Ux0WFovIoqgpHk7M/y/CgEXKmMLWncGQ0i10FrTR6RiNqZVgsZ4bDtLtQJkKnwcMYU2cntKZgWzkPRAY7wxjGPN42piAIm4XRzUCPRbTFcVsszvhzYUPt7PJ4apRaKIqbx6YTU9ucV+7RtsuMegnuwNelH+e5ZjS1wE0vyX4vqrPaujWwKFhVTluWaOEmgcokfGfq6MOWW4R1TdlcEMgRC+R+pLHXj7GbklVmyBa7tu88X/tMGuH2igcTifgVhCvMsuYPoNnKC8I4ZCtCQAa4qQ5AmG2poGCAevgENeBRvXEYvwxPAW88q4AFgRNoPHNDsEyNxqgX4xbbqSU8Pjls5T3kUZ7H06pjJVdw9oB28xbUNbOADTXRkVaIjObP5KqRGA1lUGcbtCYXjsI6jEvKGoduZACwWi0tMxEEQWhzUXEchGH7o+Ctfev8Ug/b9s/pRXrOv1237CtJNLa94iOjsWc09noxRqMBbibdQRntGuhQ+tCuBV5WDxx2BkM2uxdr7KYGz+0ktTgGKDnT7iep7dFYLI+LCrPKd2zTxtOSy9zax94I5Igb3MIwjZ00wgs3hojs8nP3OIj4FYRrSgiMi4RxqOPtimJX38XPD1D3YGEc7Nm4GzhMg0PdGEF3+lbrc5spgO4gjpRrjkf9uJUBMTwqlC4KYZoReWg2VkEV1xtX1p8pjTA61J6punYtWLtF7AFstEJP0zQ7o4B+GsM8w9GqgiBsLo8SxwBlaGdzwrARyTSUxwZBuiAJ0Cb4t6dcZhCyx1VkMJ1VdU1ufX1Ysp62c8S0LWCrxkFiGZ2yuagpbziIYpocymUeIXtcf08+1llF8f14SrW+08rX2eLT0sLN7RL2vnmM7HCA73/v4bnn5jKI+BWEDcRoMldv9VN0aDdCTMM2lm2yF4azqzWq+0VlHYrK12UV9UuedLX3HpVVKLTDabFcaBrdWKylRuNgEON59h2ONX1zx819UzZzHxfN56JyKHn8dKj5bYtkxeOqaXQyjY3ue4VZKT6/giA8GyIWhMviMdDE5FBLGzKlQTiG6Wv0YXEyJ5LfHFd1zS9NJQ2+7ooFsUbMjcjh8eEgRmTSzvcJZQzt68NsiTheWubBcT0kPhIu8yDXnrNlHuF4w8fprMLDgtwhTgoLz9eGVSLiVxC2kMho7Bi9sM4YAHb3+nj77snCrbxZ5TDj0Z1L8ZQ5JseGJisLsJuDd4CnQSCF0TDl+ZlYw9P0gvXN4SCpp+t5RZlq7ylwh+aQkxlPjLIOpSMrn8p6KEBqfgVBuFI0MXn5v5nPpJatbHLST4CSPNxDo/BFJllqhVoMLxLKo35cvxYZvVQcF63rg3UeY3fJMo9WPfRer4d3889USmE0GuDoaPw4p3UpIn4FQTjDRbfy2tt33QxFM6ltMTxRzoUA7qGgaucGatIDPI9iVuyFHM3VvM2jQOUWsdG4MUwQ1XUboWQDGA7TM+NWBUEQrjpKKaQRJQF2514bjQY42qXUchCoRSdj3AydqOpJbeQ9H2L4owhCOZS0xZoakfuxwX4v4kZl7iHhoRqF9bVd5mXLPEIG+3A0xa6GWJ0JgrB+LpKpsDwSc9YSxG2XhnYAPg/L4zonpa0b12onyCCSw7o0+U+Gmt95Cq1xGGvgHGEvCIJwXdGP8D1uE2J0wcK45PhcdgQzvdY09wGLGpTnUaBG5ITL6GKj0e/HiLWG0h6ePYR5zhH517PVWTuDfTyt0O+tNl6L+BUE4alBDWePDsKVazIVIdiWVTdbEb4+z6jBc7mFZasct0BUl0rB7Z1TfCcIgrAlXDRGA12hXLJQrtibt+T4XFqP0jkeOx9eu7hTg+Epb4mhscwKwLAXI9ardegR8SsIwtqJtEKUGAzw6ABMNby+tkmb39IL1mYli+B5hoNE3B4EQRAuyWWEMsDNyhyfq5YoLjk+l20Rza9b72Er33HZrEyJNJXMryAIWwx1TtOc+UcRMhVVnbHw6A/TM1OeBEEQhNWilUISke3aRSHHniZml9ajv5NCFYudJR4XEb+CIGwsIVPR5ml0DguCIAhPTqQVomcQsy8uxwVBEARBEAThmiPiVxAEQRAEQdgaRPwKgiAIgiAIW4OIX0EQBEEQBGFrEPErCIIgCIIgbA0ifgVBEARBEIStQcSvIAiCIAiCsDUov2D8pyAIgiAIgiBsIpL5FQRBEARBELYGEb+CIAiCIAjC1iDiVxAEQRAEQdgaonUv4DyyLPsxAD8F4A4An+f5b6x5SSshy7L3Afg8gH8G8BKAe3mev77eVa2WLMv6AL4K4G/zPP+Vda9nlWRZlgH4OQATAB8B8Lk8z7+23lWthizLPgPgPQDuAng/gE/keT5Z66KegCzLboPeax/M8/xD/FwPwBcBfBN0jF/I8/zf17fKzWFTYzYgcfs6s8kxG9isuP2sYvaVzfxmWTYA8KcAPp3n+ecAfFeWZT+63lWtjEMAf5Hn+e/mef4pAD+bZdn3rHtRK+bzAP5l3YtYNVmWGQC/D+D1PM9/B8AnAPznele1GjjofBbAJ/M8/3UAQ5CQuc78IIAvAVCt514D8D95nv82gD8A8GdrWNfGseExG5C4fS3Z5JgNbGTcfiYx+8qKXwAfBvDfeZ7P+PE/AHh1jetZGXme/2Oe519qPaUBnK5rPasmy7KfB/2+NibAtPgQ6E35ySzLPgvgJ0F325vAGEABYI8f7wD4t/Ut58nJ8/yvADyce/pVAF/h1/8VwAezLNub/7/CpdnYmA1I3L7GbHLMBjYsbj+rmH2Vxe8tdE/AMT+3UWRZ9nEAf5Pn+TfWvZZVkGXZKwC+I8/zv173Wp4SL4Mu8m/wXegPAfjF9S5pNeR5fgzgMwD+MsuyNwD8H4D/WOuing5bEVvWwNacV4nb14qNjdnA1sTtlceWqyx+7wDYbT3e4+c2hizLPgrgowA+ve61rJCPA5hmWfaroO2L782y7LX1LmmlHAP4Rp7nD/jx3wP44fUtZ3VkWfbdoCD6ap7nvwTKjvzaOtf0lNj42LImtuK8Sty+dmxszAa2Jm6vPLZcZfH7FQAvZ1mW8uMfAPDlNa5npWRZ9iqAHwfwKQC3syz78JqXtBLyPP/NPM9fz/P8C6Ag87U8z/9wzctaJV8FcIPryADKKmxKs9SLAO7neV7x47cA9Na4nqfFl0GZIGRZ9p0Avs7ZE+HJ2OiYDUjcvqZscswGtiNurzxmX+kJb1mWfQzAzwD4FoByUzqHuUni7wD8Ez81BPDHeZ6/sbZFrZgsy34awC8DSEDH9udrXtLK4C3PHwH9Xb4b1GhwLTtr2/DF4Y8ATAEcAfgAgNfyPH9rnet6ErIs+wiAXwDwEwD+BMDv8UtfBF0kvh3Ab4nbw2rY1JgNSNy+zmxqzAY2L24/q5h9pcWvIAiCIAiCIKySq1z2IAiCIAiCIAgrRcSvIAiCIAiCsDWI+BUEQRAEQRC2BhG/giAIgiAIwtYg4lcQBEEQBEHYGkT8CoIgCIIgCFuDiF9BEARBEARhaxDxKwiCIAiCIGwN/w+dKeJrqi/bTgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model_approx = gauss_model_approx[4]\n", "nodes, _ = gauss_quads[4]\n", "evals = model_approx(*nodes)\n", "\n", "pyplot.subplot(121)\n", "pyplot.plot(coordinates, evals, alpha=0.3)\n", "pyplot.title(\"Gaussian\")\n", "\n", "model_approx = sparse_model_approx[1]\n", "nodes, _ = sparse_quads[1]\n", "evals = model_approx(*nodes)\n", "\n", "pyplot.subplot(122)\n", "pyplot.plot(coordinates, evals, alpha=0.3)\n", "pyplot.title(\"sparse-grid\")\n", "\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that if the Fourier coefficients are needed, then they are still\n", "accessible by passing `retall=True` to\n", "[chaospy.fit_quadrature()](../../api/chaospy.fit_quadrature.rst)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Descriptive statistics\n", "\n", "The expected value and variance is calculated as follows:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:50.621589Z", "iopub.status.busy": "2021-05-18T10:56:50.621265Z", "iopub.status.idle": "2021-05-18T10:56:51.248081Z", "shell.execute_reply": "2021-05-18T10:56:51.248342Z" } }, "outputs": [ { "data": { "text/plain": [ "(array([1.5 , 1.4977, 1.4955, 1.4933]),\n", " array([0.2 , 0.1997, 0.1994, 0.1991]))" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "expected = chaospy.E(gauss_model_approx[-2], joint)\n", "std = chaospy.Std(gauss_model_approx[-2], joint)\n", "\n", "expected[:4].round(4), std[:4].round(4)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:51.251423Z", "iopub.status.busy": "2021-05-18T10:56:51.250932Z", "iopub.status.idle": "2021-05-18T10:56:51.325581Z", "shell.execute_reply": "2021-05-18T10:56:51.325849Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.rc(\"figure\", figsize=[6, 4])\n", "\n", "pyplot.xlabel(\"coordinates\")\n", "pyplot.ylabel(\"model approximation\")\n", "pyplot.fill_between(\n", " coordinates, expected-2*std, expected+2*std, alpha=0.3)\n", "pyplot.plot(coordinates, expected)\n", "\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Error analysis\n", "\n", "It is hard to assess how well these models are doing from the final\n", "estimation alone. They look about the same. So to compare results, we do\n", "error analysis. To do so, we use the reference analytical solution and error\n", "function as defined in [problem formulation](./problem_formulation.ipynb)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:51.328436Z", "iopub.status.busy": "2021-05-18T10:56:51.327991Z", "iopub.status.idle": "2021-05-18T10:56:51.337502Z", "shell.execute_reply": "2021-05-18T10:56:51.337100Z" } }, "outputs": [ { "data": { "text/plain": [ "(6.994405055138486e-16, 2.0112904397517896e-15)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from problem_formulation import error_in_mean, error_in_variance\n", "\n", "error_in_mean(expected), error_in_variance(std**2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The analysis can be performed as follows:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:51.340444Z", "iopub.status.busy": "2021-05-18T10:56:51.340124Z", "iopub.status.idle": "2021-05-18T10:56:51.684010Z", "shell.execute_reply": "2021-05-18T10:56:51.683663Z" } }, "outputs": [], "source": [ "gauss_sizes = [len(weights) for _, weights in gauss_quads]\n", "eps_gauss_mean = [\n", " error_in_mean(chaospy.E(model, joint))\n", " for model in gauss_model_approx\n", "]\n", "eps_gauss_var = [\n", " error_in_variance(chaospy.Var(model, joint))\n", " for model in gauss_model_approx\n", "]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:51.687005Z", "iopub.status.busy": "2021-05-18T10:56:51.686670Z", "iopub.status.idle": "2021-05-18T10:56:51.734609Z", "shell.execute_reply": "2021-05-18T10:56:51.735049Z" }, "scrolled": true }, "outputs": [], "source": [ "sparse_sizes = [len(weights) for _, weights in sparse_quads]\n", "eps_sparse_mean = [\n", " error_in_mean(chaospy.E(model, joint))\n", " for model in sparse_model_approx\n", "]\n", "eps_sparse_var = [\n", " error_in_variance(chaospy.Var(model, joint))\n", " for model in sparse_model_approx\n", "]" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:51.739232Z", "iopub.status.busy": "2021-05-18T10:56:51.738662Z", "iopub.status.idle": "2021-05-18T10:56:52.161032Z", "shell.execute_reply": "2021-05-18T10:56:52.160775Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.rc(\"figure\", figsize=[12, 4])\n", "\n", "pyplot.subplot(121)\n", "pyplot.title(\"Error in mean\")\n", "pyplot.loglog(gauss_sizes, eps_gauss_mean, \"o-\", label=\"Gaussian\")\n", "pyplot.loglog(sparse_sizes, eps_sparse_mean, \"o--\", label=\"sparse\")\n", "pyplot.legend()\n", "\n", "pyplot.subplot(122)\n", "pyplot.title(\"Error in variance\")\n", "pyplot.loglog(gauss_sizes, eps_gauss_var, \"o-\", label=\"Gaussian\")\n", "pyplot.loglog(sparse_sizes, eps_sparse_var, \"o--\", label=\"sparse\")\n", "\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the convergence at around $10^{-16}$ is where machine precision\n", "starts to matter more than the accuracy of the approximation by itself." ] } ], "metadata": { "jupytext": { "formats": "ipynb,py:percent" }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.5" } }, "nbformat": 4, "nbformat_minor": 2 }