diff --git a/analysis/spec/notebooks/Time_vs_FLOP.ipynb b/analysis/spec/notebooks/Time_vs_FLOP.ipynb index e9e1a82b..f1b535c6 100644 --- a/analysis/spec/notebooks/Time_vs_FLOP.ipynb +++ b/analysis/spec/notebooks/Time_vs_FLOP.ipynb @@ -7,7 +7,7 @@ }, "source": [ "

Table of Contents

\n", - "
" + "
" ] }, { @@ -27,8 +27,8 @@ "execution_count": 1, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T12:09:49.685884Z", - "start_time": "2020-10-09T12:09:44.521036Z" + "end_time": "2020-10-11T03:32:44.317870Z", + "start_time": "2020-10-11T03:32:41.940108Z" } }, "outputs": [], @@ -37,6 +37,7 @@ "import sys\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", + "import scipy\n", "\n", "import qtensor as qt\n", "from cartesian_explorer import Explorer" @@ -47,8 +48,8 @@ "execution_count": 2, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T12:09:49.693502Z", - "start_time": "2020-10-09T12:09:49.687338Z" + "end_time": "2020-10-11T03:32:44.323932Z", + "start_time": "2020-10-11T03:32:44.320677Z" } }, "outputs": [], @@ -64,8 +65,8 @@ "execution_count": 3, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T12:09:49.709455Z", - "start_time": "2020-10-09T12:09:49.697804Z" + "end_time": "2020-10-11T03:32:44.352129Z", + "start_time": "2020-10-11T03:32:44.339056Z" } }, "outputs": [], @@ -100,53 +101,170 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 4, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T12:10:25.614936Z", - "start_time": "2020-10-09T12:10:25.607910Z" + "end_time": "2020-10-11T03:32:45.497342Z", + "start_time": "2020-10-11T03:32:45.491342Z" } }, "outputs": [], "source": [ "N = 1000\n", - "p = 4\n", + "p = 3\n", "edge_idx = 28\n", + "degree = 4\n", " " ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 5, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T12:11:20.886351Z", - "start_time": "2020-10-09T12:10:57.276722Z" - }, - "scrolled": false + "end_time": "2020-10-11T03:32:46.435411Z", + "start_time": "2020-10-11T03:32:46.164940Z" + } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Line graph nodes 1671\n" + ] + } + ], "source": [ - " \n", "gamma, beta = [.1]*p, [.3]*p\n", - "graph = qt.toolbox.random_graph(nodes=N, degree=4, seed=108)\n", + "graph = qt.toolbox.random_graph(nodes=N, degree=degree, seed=108)\n", "\n", "comp = qt.QtreeQAOAComposer(graph, gamma=gamma, beta=beta)\n", "\n", "comp.energy_expectation_lightcone(list(graph.edges())[edge_idx])\n", "tn = qt.optimisation.TensorNet.QtreeTensorNet.from_qtree_gates(comp.circuit)\n", + "line_graph = tn.get_line_graph()\n", + "print('Line graph nodes', line_graph.number_of_nodes())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Using greedy optimizer" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "ExecuteTime": { + "end_time": "2020-10-11T03:32:49.121865Z", + "start_time": "2020-10-11T03:32:48.199388Z" + }, + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "treewidth 21\n" + ] + } + ], + "source": [ "opt = qt.optimisation.Optimizer.DefaultOptimizer()\n", "peo, _ = opt.optimize(tn)\n", + "print('treewidth', opt.treewidth)\n", + "if opt.treewidth > 100:\n", + " raise Exception('Too large treewidth')\n", "costs, mems = tn.simulation_cost(peo)" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 7, + "metadata": { + "ExecuteTime": { + "end_time": "2020-10-11T03:32:50.149626Z", + "start_time": "2020-10-11T03:32:49.123067Z" + }, + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total FLOPS=0.034049645 G, Memory=0.033554432 G\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(costs, label='flops')\n", + "plt.plot(mems, label='memory')\n", + "plt.yscale('log')\n", + "plt.legend()\n", + "plt.grid()\n", + "plt.title('Simulation cost per step')\n", + "print(f'Total FLOPS={sum(costs)/1e9} G, Memory={max(mems)/1e9} G')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Using tamaki optimizer" + ] + }, + { + "cell_type": "code", + "execution_count": 8, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T12:11:21.636121Z", - "start_time": "2020-10-09T12:11:20.888291Z" + "end_time": "2020-10-11T03:25:03.478651Z", + "start_time": "2020-10-11T03:24:51.686901Z" + }, + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "treewidth 17\n" + ] + } + ], + "source": [ + "opt = qt.optimisation.Optimizer.TamakiOptimizer(wait_time=10)\n", + "peo, _ = opt.optimize(tn)\n", + "print('treewidth', opt.treewidth)\n", + "if opt.treewidth > 100:\n", + " raise Exception('Too large treewidth')\n", + "costs, mems = tn.simulation_cost(peo)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "ExecuteTime": { + "end_time": "2020-10-11T03:25:04.376000Z", + "start_time": "2020-10-11T03:25:03.480448Z" }, "scrolled": true }, @@ -155,12 +273,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "Total FLOPS=1.7455608865774634e+32 G, Memory=3.920052866929211e+32 G\n" + "Total FLOPS=0.002586149 G, Memory=0.002097152 G\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -195,21 +313,21 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 8, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T12:10:36.332087Z", - "start_time": "2020-10-09T12:10:35.674274Z" + "end_time": "2020-10-11T03:33:13.080314Z", + "start_time": "2020-10-11T03:33:10.463143Z" } }, "outputs": [ { "data": { "text/plain": [ - "array([-0.12891499-1.05818132e-16j])" + "array([-0.14101067-3.12250226e-17j])" ] }, - "execution_count": 10, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -235,11 +353,11 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T08:43:56.750400Z", - "start_time": "2020-10-09T08:43:55.167425Z" + "end_time": "2020-10-11T03:33:14.381426Z", + "start_time": "2020-10-11T03:33:13.081720Z" }, "scrolled": true }, @@ -248,12 +366,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "Total time=11.34330129623413\n" + "Total time=1.9989681243896484\n" ] }, { "data": { - "image/png": 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oagyy00owuWJDPnmuJjylpUyo0s9NS5dCS6sTj8PLiPwqcrMDLF3q5KKLemR6hr2MYMxzvT+9Gkuv0iXBopRaICIjY5oPBtYopdYBiMgTwGloIVMOLKUdTUlE5gBzQNek6Gw4pgnl3Evw+8Ht7rhfGmhuijwxKiXkuxpx9R/AKHkHt1uxbJmETWFOCTJ5VC1Ll5a0M2LnCQQCHX5/++p33Mxbs/7LJiASVbho0RIaW5rSNn5v0h1RYWXAZtt2JXAIcAdwl4h8E0ioniml5gJzAfLy8lRnwzFNKOfegQr4kW4QLNXVMGoU/POfcMYZuq21JbpPnqsJV/8BeGhl0j5Bli51alOYW3vspwzfxVMflFBdDaWl6Z2f0+ns8PvbV7/jZt4az+51Udv7TpnKUTM9aRu/N+kx571SqlEp9T2l1A+VUu0m6TJJKA0hVJKhMruffozWjWuTHveBB6ChAf7+90hbc7PWWEbn6zKx+W6tsQBMGdekTWFeFzkePzidXHTUMlpb4frrkz6twRAmtuyC35+5pjAROUpE7hWRB0Tkg476d4dgqQKG2bbLrbak6c4klIa+RTKCRQX87H5sLpt/8r2kx33uOf3X54u0tbboH/b+/XSoV76lsQCMGlTP1q1Q15JFlsuHs7CIicVrOfJI+OyzpE9rMIRpWhldSj7Qw4IlleArpdS7SqnLgZeARzoauzsEyyJgnIiMEhEPcC6QUrZHo7EYwgSSESz6e7KrtRgA3/YtVD10P42N+odaVwfNzdHHVG+qBQiHEYNdsCwHtCnMWaJtXEMK9gCwcVcx2S4fzqIS/LV7KCuDysrOfzzD15ea11+O2k5zuHEyzANm2RtswVcnAZOA2SIyydblPODfHQ3c1XDjx4EPgQkiUikilyql/MCVwGvACuBJpdSX7Y0Ti9FYDCFUEoKFQIDnNp3AofNf4JNPYOtf/sAZv5rOuNEBdu+GoiKIXcJUv8eHU/zhMGKI+FiG5m6jrF8dA7J34eo/EIBBOTrjZLPXQ7bbh7O4H4GaPZSXw5Ytaa9XnnaCwSDXXXcdV111FY880uEDp6FHiI52DKRXsLhEZLHt1SZvmFJqAbA7pjkcfKWU8gKh4CtEZDhQq5Sq7+jkXRIsSqnZSqkhSim3UqpcKfWg1f6KUmq8UmqMUuqmVMc1GoshRFKmsGCA+9ecB8BHHwR4Z+1EFu2aytYdLo4+Wvd5883oYxr9uUzvr21Y4VX1LVo6ZDm9PP39ufx04gM4C4sQTxYDnRFrbpYrgKu4hECN1lj8/t5JoX/LLbckXS7i+eefp7KyErfbTXl5ec9P1tCGoIpdeZ/WpxMFLAH+qJSaZgVFJUO84KtQypJLgaTyYWVkShejsRjCJPFw4WsOsLZ+OACfLWpi1S7t4utXFIjyfzQ06CDIYFALlv37LcfttgkWK3Gxx+GjPLuS4uxGxOHAPWgoA/1rwuNku304i/oRqN1NWZl+yuwNc9isWbOSLhexatUqDj/8cG699Vbuueeenp+soQ1BFbuOJa3Dp32BpFLq90qpDh33kKGCxWgshhAdaSzvvQc7tgcJKC00ln3uoMabj9vhZdzI1qi+a9fmAZHaKsWeOiaO84YFi9cyhXkcPoLNTeDQDzauwUPIrllPnj48bApTXi9lA/RB6RYsfr+fadOmhV+hMg529t9/f0pKotfRLFy4MFwuwuPxRJWL6NdPFy4zD2yZgYo1haXXed/ZlC5dDr6CDBUsRmMxhFDtPMbNnw9HHQX/7xZdLrg0axdfrMpmd3Mhxe56ygfr9SaHHKL7r1mj69XX1entPFcTY+rfYuknWni1tuoftsfhJdjYgFjfP/fgMvw7tjJsmN6f5QrgLNI36aGF2kS9fn26PrHG5XKxePHi8CtUxqEjqqqq2pSLqKqq4swzz+S1117jqquuYsaMGemdrKFTNPpzorYzJNy4y8FX8DVMm2/oW7TnvH/2Wf33/Y/0AsrDBizhxcrjWbZ1BEWeOoYM0CrG9OmwYUNEsNRbrsc8VxMTi9bw7OaT2LYNmi2NJcvpJdjchDj1z8M9aCiqpZlxo3ysXOkh2+PDWTwIgBLnLgYNKmPZsjR/8DSTm5vLgw8+2NvTMNiY89H/RW2nOaVLh4W+rOCrmUCpiFQCv1dKPSgioeArJ/BQqsFXkKEaizGFGcL4E38HXn9d/121RguAwwZ8AsDKnWUUe+rIz9HaTlERTJ0Ka9e2FSyTrGSSy5bFmMKaGiCssQwFYOzgGgB8ATfOPD1W65qV7D+pNWOSUZaVlZlyERlCsLUF79bkbaS+9PpYOjSFdVfwFWSoYDGmMAPA+zsOYtHSrKg2pXQali1bYPv2UJu2VU/v/xlul46sKXLXE7SEktOpBcuGDXl4vRHBku9uZJ8i7ZTXCSZ1u8fhQ3m9YVNY1qhxAIwu0GWI1+0ZjMMSLNUP38XIyqf48ktojXbp9ArTp0835SIyhG23/JZNPzoPFbvEPgFpru3Tq9mNM1KwGAybGodw8Qd/55iL94lqf+EFuOgiuPpqaGmBkSMj+wZmV7PPiAYAijx1nH30VgDOPVcLFp/PwcqVUFerhU++q5kiTwPDh2qNwxsWLNYv3BIsrpJSnP36M3PAe3q8qR/jyMkNn/eQ0k/x++Gvf03vNeiIG264oU25CJfLZcpFZAhNny7Ub5IVLOl9MOnVeizGx2LISP6zQT9lBwJCIBC+x3PXXfrvF1YSimOPhQcfBI+jlRxnC/uOruXztdp5v88wZ/g3Hcq8v3QpSDAIOMhz6Uyy+41rZOnSLCYN1n2ynFqwiE1jzhozAce2T9h8zQ+R7JywxgJw1MCFnHgi3H8/XNeDJWSuv/76uEkRTbmIDCNJwdLq7VkfS3eSkRqL8bEY1tSPDL9fa8stWVOj/65apf8efTSIKPp56hCBKaN0hyJPHcrrpXHR+2z7+/9j3DjIygrw6adQV6u/VyHBsu/Yelatgj21+ufgcWhjt12wuIeU4a/egQoGEYcD8URMdCJwwAFQVZX5K/ANPUi4jlByAsO/F5W5zkjBYnwsXx9274arroKdO+FnP4sIkXX1wxmepx2fdsd4bM6v4cNh3MhWij06hnjfEdWAJVj8Xrb+6dc0LHgTh0MxalQjS5dCvWUKCwuW0TUoBUu+zMUlfhxi3Qgcke+fw5OF8nm15HA42hQfC63A37kzDRfFsHeRpCLi7WHnfXeSkYLF8PXhvvu0eeuEE3QK+7/9TTvBNzcN4YQhC3A5g1GCpaUFhg6NbJeWwg/O3ckZw/QK9ANGbeekyV9yaOmnKFuYjWptYezYBpYuhZo9Cqf4yXHqMLDJo3RCyiVf5kX8K0RrLOLJgkBACxdH259NKEuKSUhp6CzGeW8wpAGlYN48/T4kPLZt01pLQLnYp2gt+4xoaKOxhBY8AvTvD5d/ZzuXjvsPADmOFh66+EnGFGxC2X6pweYmxo5toKYGFi52Upq1O2ypGN6/jsJCqG90hv0rAOKKuCDFrQswBVtbEEdbTTokWKpSXqNs2OuJ8bEsX26zktnIhKjCdJGRgsX4WL4efPQRfPVVdNuyZZGn/qE525kyqiauxjJcpwajpCSSNh+slfrWr1b5fGHtIiRYAN772MPA7F2RQf1epk7Vb0P+FSDKFCYeLVhUS0tUe4jQUhGjsRjaEi1YYtK7hdldk9bbsTGFxWJ8LHsffj/Mnq1Xy191la7gOHcu5OZGStr/8Iewbl0kPUq/rFr2HbWHrVsj2YObmyE7W4cPFxeDy0VUzRbl84UFjfJ5w1pHsLmJ0aMbEQGfTxiQvTvqmJBgcTt8SJZOEdPGFAYEW5oRZ9ufzcCBei62tYkGAwBKKXzbt9Dw0QIgsWayszqtt+NeNYWZcGNDWqmo0H6Tf8UUn54/H554Qr9CiGghc+GF+riJE+Gee+Dtt/X+fp5apozQmsWyZXDccVpjycmBX/0KTjxsJ/49jrYaS5Rg8aC8XlRzMzk5AcaN01rSAJvGovy+KI3FkZ1DoLUlEuMMOCxTmGptietjcTph7FhYubJz182wFyKizWAKNv30ElRzE2OfXUBLS/zuTc1x7GN9lIzUWAx9l6OP1sIjNjrq0Uf13/79I20uF/zxj3DQQfDznxO+ub/9tjYdFLnrmVKuo7yWLtXOTaW0xnLEEXDCx2exYc45Uan1lc+bUGOByDkGZtlNYRHBkuVsxZGrFz+GcoVBxBQGxPWxKKWYOpWMSe1iyCQUyvr+QeLULUmUHuozGMFi6BZCTuyQ33L9ejjxRNi0CW68UbcNHarNWSGGDIEBA6C6Wihw1eNyBCjObWb4cCvlivWkl2NPCuv3RSWqVD4fBAOR95adLdgSLViiNBafj0mTwOUMao0ltKo+jikMCGss+TOOt83Db6WNiay1MRiAKOe9UgpXAjuR3280lj7Lc889x2WXXcZ3vvMdXg9lMTSkBfsTV2Ul1Ne7mDwZbroJdu3S2kpurjZpgU55b0ckcuMPrUtR1g3bLliys6OPC5vCnE6U3x+u4aJ8PsRlCRbrifGAA3TXUKlh3c9LVhZMHNVIrrMFydFZkaN9LG01lkFX/5qScy8Jj7H//np/pmc6NvQUlqCwCRbvpnU4/Y1xe7eTb7UzGOd9LImiwi655JKkS7Em4vTTT+f+++/n3nvv5T//+U/a5/51QCntrL7lluj2NZEii6xcCddcsx8rVsBtt0UEC8DBB+tEkvEKGYYES7+QYAlowbJypV5MCTEaC4RNYY6snA5NYccfD/f97iuOGriQwhNPs/pp28Sdv/iSa6bcg3uQXihjD1cOhRvrE+mfjThdOAuL9PjeSGSZMYcZNG1XRm7+yfdo+ejtuL19vrRqLGYdSyyJosIuvvjipEuxrlu3jm9961tRrx22wuQ33ngjV1xxRY98nr2Nbdu0D+Xaa6ND9HdHAq245x5YsaKQ0lJoatLFtUKCRQQuuADy82lDRGPRixaxBEswCIsX66a2GovWUCQ7O8oUFmxqDGsdIcHidMJ5J27B7QhQdNIZOPuVhAXLAeNrmFz8FZ6helGKv3p7+BzRGkvkZxMSOMrnZfBgGDTICBZDW76sGc+45xYw7rkF3PxOfCVib1pd0aeiwmbMmMGGDRui2uylWIFwKdbDDjuMl156qc0YSimuvfZaTjrpJA488MC455k7d264FKzX66WioiLhnBoaGtrd35P01FwWLeoHaLtPcbGP++5bzODBrSxeHGkP/ZvOO281d9yh087v3v0VFRVb2h3b680FDg6bwjZv3EjL+I+AQ3nqqSqgjLWrl1Hxzi6sNYl8tXIl/YCWoKJxx3Yc3lY8QPPnS8LjbvrqKxryB1JRUUHOymX0BxYtWUKpP0hdVSXLKyrIXb6cEmDVnjpKAe/2beHr6dq1AytHJZVbt/Kl1Z6zZi39gY/few9/v/4MH74f773npqLikw6vYyZ9dwzdQcQU9tflP+iw997kY+lTgiUe8Uqxfvzxxwn733nnnbz55pvU1tayZs0aLr/88jZ95syZEy4Fm5eXFzeDbIiKiop29/ck3T2XxkYdyRXSHADq6tw8+eRhPPMM1FpKRna29ocUFXm56KJx3HGHbj/ssPHMnDm+3XP4/fDjq4MMydHaZdmgQUw991Auvxw2b9arEMv+9wzf+PV1rLXGHTd6NNUVkNevBEdOLqrFSexSgbLS/tTm5zNz5kzqAk3seA0OOeJItrz5LMX9S9h/5kxqfQ3sfBMOOH4Wm19+AgkGwtfTt20LGx/TqZXLhw/nAKu9IQu2vfYU0w+cStaIMRx3HPzlLzBo0EwmTmz/embSd8fQfSil8Cl33H0nl73NK1XHAGn3sfQqfV6wpMrVV1/N1Vdf3dvT6JPk58OwYdq0ZSckx0PtBx8MCxbAwIGtTJrkweXSAsMeapwIlwvee2EL/r9aC2EC/rBT//33dZPHuzvsoAdr7QrgyMpG+X1R61pCBG3hniHTl7hciNsdySmmdHJKZ0Gh3u7AeQ8gbh0tFvLHXHWVXsfz29/C0093/HkNXwcSCxaXRL7HafaxpBURcQA3AIXAYqXUI+31z0gfSyqYUqw9Qyir8ObN2hE/bVpk35YtemV8SLAcfrj+K6K1l9CTezKCBWD8iBYK3DpyJiRApk6N2KCzHN6oBJOBem02C/lYVCCAs6Q0asxAfW34fUgQicuNuD06sSREct6LUHbjHQy/89HwMfHCjXV7xMcCOmT6yCNh9erkPmtP0tjYyLRp0+KaiA3dgC1rvjfoidvFbUsh5A/0rGARkYdEZIeIfBHTPktEVonIGhG51mo+DSgHfECHiYv6vGAxpVi7nyVL4IMPItt5eXDeefr9eMuytWxZW8FSX68V4pBDPlnBErUuxZImoTEAsp2tYeEAEGzQtYYdWdn6Bh/wkzN5Klmjx4X7BHZHr1sBELcbcbki4cmW018cTnImT8UzpDx8jD0qLFpjsQSLLYKsvLxncobdcsstKUVJ3nLLLZxzzjndPzFDNEpFhEwMLkdEu+4FU9g8YJa9QUScwN3AScAkYLaITAImAB8opX4G/LCjgfuUYJk9e7YpxdrD/OlPemX8WWdF2srKIhmGr79e/126NCJYQvtOOEFHVc2cCUVFOkQ5EcHWlvBTv11o2DWWEFlOb5QpLNBgaSxZ2eD3owIBxOlEsiNxyf491bYxbRqLy2YKC1gaS5yULeK2mTLa0VhAC5Y9e9qaDNPNrFmzko6SfOONN5g0aRID2/snGLoHpXBJ/ApwLrEJlvQ6710istj2alNNUim1ANgd03wwsEYptU4p5QWeQGsrlcAeq0+HIrDHfCwiMhq4DihSSp3dmTEef/zxuO2mFGvX+OADvQreXj8+RCjnV23EkkRWltZKamq0wPjNb7RgGTNG7x8wQIcXL1q0ARjJ974H3/52nPUngL96B47CItadewKuQUMZee8T0Y9ulvYyaRJhX012jCksWF8HTqflL4nUq3dkWSd0OLVWYwmUsFByuRC3h5a1nxOoq43ETjva/sDF4QhPwJ6EMrQA0z6fkCW2qgrGjaPb2H///SkpKYlqSxQl2dDQQGNjI8uXLycnJ4eTTz4ZRxwBakgjtgqSzoSCJfKAlGbBooAlwIsprmUpA+ypVCuBQ4DbgTtF5ChgQUeDJCVYROQh4FvADqXUFFv7LOuETuABpVTC1YlKqXXApSLyVDLnNPQMdXU671ZxsX7KBh0qvGqVXhlvT6rocIQLKAJaqADhlfFDhuiV9SJQUBDpF9qOx4bLzib3gIMB8G/XochtUrSghdmkSfDZZ+BxthJsagj3CTTUIU6X5S/xgdOhNRZLy3APGoxvaxXOxnprTC+43FYVSJ3HaevN15F38BF6vnFygYFeEKn8/vgaS4wpDLQ5rLOCxe/3M83myLJHKrZHoijJu+7SEW3z5s2jtLTUCJWewHpQCQbhk53xQwS70ceS1pr3Sqkm4NJk+yerscwD7gL+GWqw2eKOR0u1RSLyAlrI/Dnm+EuUUjswZBz//a/+W1OjHfPDhun09a++Cn/4g/5RTJqkixMdfLCuoRJbzWDqVHj5Zb0/Ly/5c4f8J02fLoxuD5mqPB6CrZFUsFOnasGS7fSGHfYAgdoaraHk5BBsbkKyc7RwsJJIugYO0YLF8sUovz8sdJq/WAqAt2ojecHD9IAJbrridKGIFjyhrMdBbyTAOR1Fv1wuF4vtcd1p4uKLL077mIb2WfZZ4vIfbodNY0mvYHGKyFxS11iqgGG27XKrLSWSEixKqQUiMjKmOWyLAxCRJ4DTlFJ/Rms3ncKyBc4B/ePq7AIys/isY5TSZYGdTh1x9eqrcNllsN1acP6HP+i/t94Kp56qywYfcQT87nfR44RWxi9cqDWWpM9v86VEt+sfmyO/ENUSKXJ/6qmw+PmvyHa2ErRFeQX27MKRX4CruL9O6eLzajOXlc7FPXAIzRDWWPB5wyYsd9kwvBvWkjVqHMp6wpRET/Mu6wZhEyzOon7gcuHbFvntDRumtTR7iptUCQQCHX5/Gxoa+Oijj2hsbAz33b59O8uWLQtvL1igrRaZ9Fvoq7/NVOddZvnsFy1eBhwZt4/DZiLz+zPi/7QIGCcio9AC5VzgvFQH6YqPJZEtLi4i0h+4CThARH5tCaA2KKXmAnMB8vLyVGcXkJnFZ+2zbZteF7J0Kdx/P/zsZ5HkiZs3awHR1AQzZuisxKHiRKpt+qOwY335cjpcFGhHdZA/3JlXQNAmWM46C/Z/7PsAURoLaC3C2S/ibxCnM5zOxTVoiB6vMZLYMiR0hv7+Vjb/4vuo1tZwKhgkvmBxZGUTpDbaFOZ24xk2itb1kfjinBwdLdeVZJROp7PD729FRQVTpkyJWsR75JFH8re//Y0RI0ZQVlbGj3/8Y/79739nVEBLX/1tpjrvNXf/PwjCxH32S9hHbPnEAkEH3/jGzLhliztBh6YwEXkcmAmUikgl8Hul1IMiciXwGtr69JBS6stUT95jhlal1C6l1OVKqTGJhEoIU5o4NXbsgC+/hBdeGEpjozYXXXEFNETcEKxfD9//fiSl+5AhcLYVQvHtb8P++2shs3s3VFdrreTWWyOmsvYYORIKrTWFiTQWb+VGWjeui2qzR1JFtVs+FkdBtGCxE4oEC+Ny4exni2d2OMPCw1lQhHg8NlOYL2wKcxX3I3vsPgSbGyPrWBJoLKHxYzWarFHj8K5bHdZ4gB6pzXLDDTeYKMk+gM8X52nMIlaGpLEmS4fZjZVSs5VSQ5RSbqVUuVLqQav9FaXUeOtefVNnTt4VjSUttrh4WDbBF/Py8i5Lx3h7Kx9/DKWlcNFFoVXp41m3Tpuktm7V5q2sLHj3XV0b/q23tLC59dbIGGVl2gk/dSo89FBE45g0CU5JMuG2w6EF07vvJhYsm666AIBht83Du2kdBUcdl1BjCZnCnPmFeFvWxu0TDC2KtBY4itOJqzhaYwmbrAJ+nP1KI857fySdPoAjJ5dgUxMq2L4pzNWvv04VE1OaOGvMOOrffgXvxnVkjdShcVOnwn/+o4V0aWmbodLC9ddfH/cJ2kRJZgpabHjjPz/pHhItdPz+SKnuLpJW532qdEVjCdviRMSDtsW9kI5JfZ00lr/8RQuCVFEKDj1Ul8MNpTopLW3l+ee1UMnJ0alF7rgDPv1UCxXQN7ujj46ME3pInzpVm75CCaBDixyTJWQO68jHsvknF7P91v9HsLWV5i8+jf/Zwj4WrbGoOPa3kCnMNdBKDelwRmksYvOxKL8fV0kpjpApzOeLWpfiyMu3NJZAQm0FwNV/gH4Ts5Kt4MhjceQXsOuxueG2WbP0UNdei+FrTjB+pHFcelJj6U6SEiyWLe5DYIKIVIrIpUopPxCyxa0AnuyMLS4eidLm721UVVm120/suO8770ScwV4v3H579P4XX4Sf/WxVePvOOyP7fvYz/XfqVG0iGzpUm78Ajj02si/EwoXJr5IPETo+2aiwnff+lR13trWIqmAwvHbFmV8AwWBUKG+IUIoW90DtPxGnE0duXkRLsUWFqWAAV0n/aFNYPI0l0L5gCQkuf82u6PbCYvKmHY538/pw29Sp8N3vwrPPtnsZDF8DAu0Ki+iHpkRux86ctjfrsSQbFTY7QfsrwCtpnRFaYwFOycrK6rBvXyZUwLK5WTvTHQ745BOoqNACx35zP0YnQEUpXdr3hhsi+/r310725uaIU+XCC+Gaa3To8D776DYRHQUW4pNPIqYvuxm+Myb5ZDWWEC1fLY/brryRdC2OfL34JdjchCPmuxAyhbmHlMGnEKirRURwFhYRqNmtnfehKC6/H2eJ3RTmj9ZYcvMgGEC1NCeOCANcVv4xe3qY8BjZOQSbo/1B48drn1Vzc/zFoYa9m5ZANv9Zeyo73kxs2xLamsL2BjIyu3Ff97H86U9aqwiF6yYiZJ5yOPRixDVrtL+jtlb7O2bM0A7gQYMix6xeDQ88ENnes0dnHXa5oLQ08mTvdmv7vlLamQ9tFykedFDkvb14ViohwyFCK+OTvYEq27oPO8GWFpRlanLm64gAHXLcL8okFgrvzZ4wmdpXniFoOfNdJaUEanaD04ln2CjdNmgIOJw4fF6CzU1WZckYwQIEGusTRoQBZI3WidHc5SPa7JOcnKjQaIhezzJ2bMJhDXsp//f5pTy65kz4PHEfEdiveAXbW/qzvWUgjfGrFneGzq5jSQsZKVj6usZy3XX6b0eCZbn10N7cHDFz1dbqG/4nn8Azz+i2dbZgqvHj9c37llu08CgujuwTgYcfjhZEIrDvvjqNe0dr4555pn1HY3tkZ8Otfw0wvvYVgs3H4shpXzrFM2/p9pa2Gkvohh2M+DaCjVo7yx43Kep4V+lAWtd9hThdFMw8EfeQcrInTKZhwRsA+HdXa40lN/LdCgmWYEN9u6awrJFjGH7HP3EPLW+zz5GTq9fQ2EKZ7aldjGD5+lHZOKTDPoLi6Zk/4J1thzLno/9j504YNSotp+9V531GCpa+rLHYEw8OGqRNUjNnatupCIwYoaO55syBr77SJq6339bhuiUlOp3KqadqwQLw05/C3/+u3//mN1pVnj072idiJ57wcDiiTWeJOOOM5D9nPC47+Ssqf/UXmpYWkH/YzHb7BhOEGgdbWiLhxnkhwaIvarw6K4686PrGrtKBVl8/IkLOPjoDUSiNvn93Nfh9bU1hQKChoV1TGIBn2Mi47Y7sXGuuzdo3RHRqF8PXj0Z/x6p/yBRW7NFmWnt5775MRgqWvow9t9aOHfDXv+pXLGVluiLjmWfqtSIejxYyGzbAhAmRfqecEhEsv/pVJD9XbxH0ttK69ityJu7bZl8ofDjY2IB38wYGz7uN3bsqKTnru237JjCFqdYWLT2dzrDWEzYxWYJFcnJRVuEucbspu/GOsNAJCRb/ruqocSP+kWodFRblvLc0lg5MYe3hsGyAweamsGCxaywGQzxC4cahnGFpdN73qiksIzPR9eVw4y++iN8+YED0dmiNyLhxWlPJz9cmK9ApQQ48UL/f13b/7m2hArD7iYeo+s0VUSvNQ4Q0jUBjA60b1uKq3c1uWwhuFAn+t8HWFm1OcrpwZIdu1s3W+PqYrOERW4G4XORMnkruftphFBYs1dGp6VxhjWVX1AJJiFSMDNTs7lBjSYRYQtBeqbKgQP/PNm3q1JCGPo6D5OOMnVb6/DQ67zM/Kqyn6cumsC++0NrHO+/oxYlbtug6JFOnas3E64XBg+GCC7TaO8nmIrj9du2wP+wweOklnc6+tFRrQbYimb2Kf6dOJNZq5deyE1p/EmxsQBV0Tgqq1pZwOHBIYwnGaCzusuG0rLIi253RX+HcAw7BNXAw/U4/N6rdkZNL0JOFf/fONhpLSBgFGxui0sKkQkgIxjrw99lHZ0UwfP1wOjoWLKGV96H0+SYqzBCXL7/UN5PQAkN75NV3bRahrVu1ECq3+YHz8/UqetApV0LFtSZMiDaP9QY7H7id2pefpvi07wDg37EN5fMSqKu1LRyMmMLs6VpU+4H8UaiWFq2ZuCKFukJaQGgct72yY4yG4cwvYOR9T8YdO5BXQGD3LsvBHr2OxZGXrwMCOm0Ka6uxgH6gePJJq4hg5pY0N3QDjgQ1WKLRprBQJcm9RbBkpCmsr/DBB22TMn7xBcRUio2LxxMxd2UyyudD+f3Uvvy03raiubyVG9j21z+w4ftnhcOAQ9FcwabG6EJcCfJ9xSNo+VjE5cZpFXUJ1GiPZqh0sLOoX6c+SyCvQEeF+bzRFSEB1wAdStdZU1jYbBfzWadO1SHhmaJxGnqG//0P3t02PYme+mkjZApLo4+lV8lIjaUvhBu/+SYcfzyccsr4sKlj8WJtT09GsPQVNl19YVRNFJ9lCvNu3oDXSiqpfF7EkxVefxJorI/SWIIp1OgN1NVoU5jThThduPr1j/hLQs77TmZkCOQX4q/eGhUSHMLVfyDeDWvbDTduj3g+FohE7y1dCsOHd2poQx9DKR0JGo9cZxNNgUi0mC9oZeBOv4/FrGOJpS/4WI45RocMz507lBdj/m0zZvTOnNKNCgYjdUasoi3+HVsBCNTsifRrbQVPVkRjaWyI1lisVCod4cjN1ya2QCB843eVDgwLFtVFweIvLsG/UueyF5cnal9EY+nc2Il8LPvuq01gS5fqMHLD3k+itWALTjwLlDDj9UgR3YDS37fuct6nbbQUMaawTuJw6CSPL7zwHjt3ws6d0NKiH6qPOKK3Z5cevJs3hN87svTSfN+ObUAkVxdYIcLEOO9tvy5733jkHnQooFfI+3ZstZz3bQVLOJLM6WTA5T+n4JjUMvj6i21JKt2xGssA6zN0zhaRyMeSl6cXtXZ3Cn1D5mAvV2HHJQE8zmip41fW99yxdznvjWDpIgUFfkpLdfRWVlanLSkZRaCxAd+2LTR/uTTcJpZZMvxEbkvZGjaV2TUWv80UFlOUK5Yh1/6JUY+9jHvgYPw7tlnrWGyCZdcOlFJRGkvRiacx6KrUUgf7i+zZj6N9LM5CHcUWbOpcTg3JygaRNoIFeqY2iyFzSCRYHBLALdGSwxe0vud7mY8lI2+DfXkdS1+iadli1pwxA9+2LVHtW373Yzb+8Fyalup8/uL2IJ7seEMAbTWWQIwprG1RruiburhcOPMKdG36HduifCCu/gNRXi/B+tpwVJg4O2fB9dvqtcTOIZSXrNOCRQRHTl5cs98hh+hCaybT8deDRPm+HKLCCyFD+IL6e9gNprBeJSMFy9clbX5vU//OqwA0fb4kqr11nV782PTJxwBtoqhi13oEW6IFi2puCrcBBGJutrGZikO4Bw5Gtbbg31MdZQoDa8GjzRTWGVR2JENmrCkslJesK7iHluOt3Nim/Yc/1Fmk42Vg6Cmee+45LrvsMr7zne/weiittqFbSKixEAybvEL4LR9Lpocbi8hMEXlXRO4VkZkd9c9IwWJID0opGpd8rGuc0DbXVsi8FairiT9AMEDWWJ1z356CxT2oLPo83pBgsWkpdTUELa0gGONjkaz42k9IiPi2bQmbquyCJRRu3FnnPURClWOd985OLui04xkxGu/Gdex86E52//eRcHt2Nkyfnv6Q41tuuYWBAwcyJSYM8dVXX2XChAmMHTuWm2++GYDTTz+d+++/n3vvvZf//Oc/6Z2IIYrEpjAVNnmFCAS7zXnfISLykIjsEJEvYtpnicgqEVkjIiF7swIagGygw+x3X0vB0tjYyLRp03jppZd6eyrdStPSRWy94Zfs+e8j1FW8xtqzjw473yFi9vFVReccEXfkphsqtRuw+Uncg4dG9Y/VWECnRwlaiRkD9TEaS3b83PqhtCuqpTmslYSFjV1j6WTkFkS0rdhwY0dsTYFOkDViNIG6Gmpf/C+7//1g1L6yMr0oNpVqgh0xa9YsXn311ai2QCDAFVdcwfz581m+fDmPP/44y0NptIEbb7yRK664In2TMETh8+n1bfFQStoskvWpXvWxzANm2RtExAncDZwETAJmi8gk4F2l1EnANcAfOxq4TwmWSy65JOkntPa45ZZbOOecc7prmknTuORj6iuSN0u0rvsqrH3Yqf/f69TOb2vADzbpR6faN14Kp42vffkpfFt1CHEoPUus+caeMThU00TZnNKuQdHpwEM+FnupPC1YcrRD2+ZjGfCjX4VDe2MJCRaIONedRf3A5dIaSxfDjUHXrQfaLJAM+Vi6gmfEmIT7ysr002io9HNH+P1+pk2bFn7Nnds259r+++9PSUm0WXLhwoWMHTuW0aNH4/F4OPfcc3n++edRSnHNNddw0kkncWBfWJnbR/n5z+H66+PvizWDAfgt570IOMWfTo3FJSKLba82ocdKqQVAbD7lg4E1Sql1Sikv8ARwmlIqdOPZA3S4wDAj17Ek4uKLL+bKK6/kwgsvDLeFntDeeOMNysvLmT59Oqeeeirr1q3jrzFG7Yceeohly5YxadIkWmw+gO7Gu3kDta88Q+n3fxx1U9x6wy8BKJh5QodjNH3xKVuu/zGll/2E4pPPjNq3/bYb9Zsf/7+o9lA0VmDXTpSV7r3mhSepeeFJRj3yotYCAO/GdVF14B15+eHV7q4BA9vMJdjYgCM3Pyy4gq1tTWH+mj2o0kFIdk5Y2xnym5vJm344LSu15u0sKaXwmJPCxzj7leiwumAwrFGIw4Gr/wD8u3ZE6rF0xRRmCZZgzP8/kXkuFeLVaQlhz3Q8eHDHY7lcLhYvXpzyHKqqqhg2bFh4u7y8nI8//pg777yTN998k9raWtasWcPll1+e8tiGjpk/P377Zfs+T66r7T0nFG4M2hzm96ftluxXSk3rxHFlgN1oWwkcIiJnAicCxcBdcY6LIiMFS6KV9zNmzGDDhg1RbfYnNCD8hHbYYYfFNXVVVFTQ2NjI8uXLycnJ4eSTT8bRzTHCW266Fv/2LRSd8m08Q/WPPlBbk9IYLSt0GbpYs1U8mpcvI1C7J+ocKiYMdsNlZ6O8rWG/QMualeRM3Bf/7uooM5FkRcxWBUfPwrd9KwUzjqdx4XthwRIbFQbo0GOnC0dObtiHE3KYh8xbhcecRP/zI2tgxenCWdSPwJ5dUZFfrv56LUtoZX9nFzECOK3IsMCe6PLCkoZEXq6SAQn32QWLPX9cT3H11Vdz9dVX9/yJvyZs26bz+yViiKyP2x4KNwZtDsvUlfdKqWeAZ5Ltn5GCJZWV94me0BJx0003ATBv3jxKS0vjCpW5c+eGTQ9er5eKioqE4zU0NLS7H6BsxzYEWPzOW3jLRgKQs/oLQqsq/vf6ayi3R+vDfh8S8KOyov0QJQs/JBfYsXQxq55+En9/S5Pw+wk9J+e88zLv1tUw5OFbAWgaM4lQ8oj6HduxG39CzvjKQ45hwMb1LH/xaeq37qD8zmjz6bIVKwjpLFUNTdQdfxZrqrYzUAkhT8zaFSuoL6igeONG7GW3fECzy4N72xYEWPb5F7TWNJG7aw8lQOWXn/N5zLUb6M7CA2zftYuV1r5+SsjeuJbKZUspBT5ZuhTfliRtSjYaGhpYmd+fwcByZw7+mHOHrmNH/8/2sOssFe+8E848WV3tAQ7nnXe+orBwS3g+XTlXPMrKythsixKorKykrKysnSMM6WDVqvb3x9a2D+EPRh6SXI5AJqxjqQKG2bbLrbaUyEjB0hNc3E6d3jlz5jBnjjZJ5uXlMTNR4h/0Tai9/f5dO9lgmSf3HVZGwQzdd/f2DWHjZtk9N+EaNIQRdz7Klht+RfPnSxjzzP+inqI3PP4P/EDWlk0Mfuwuxj67AADv1kpCOkz/zz6mcPBAQh6NYn8LoWWK2cEAsauCBv3iD4w94hg2VLxEmdvJgEMOZv2dkf1lN91FeVYWlU89BMDIceMosT5r1VvP0rxTp3cZOXQo/WfOZPsXH9GwJlL73ZmVTb9hw2ncoW+kU6dNJ2fivrSOHsHmt55nxOEz2D/m2m396A0ad2xhcFlZeF+dv5Eddy9lXF4We4BphxxCVjv+jERUVFRw5MxvwRlnE69S8Jrb9d/2/p8dERoDYFquC//O7RR/62wCAV1SWmQ8M2eOD8+nK+eKx/Tp01m9ejXr16+nrKyMJ554gn//+99pPYehLbHJaGNJKFjamMLSNqXOpnRZBIwTkVFogXIucF6qg/Qp5308MukJre7t+bR8tZzd/32EjVd+l8ZPPqLyuivD+/27dobf26OzAPzbt9K45GOarTUlvi3RsamxC+8aPqxAKRV2wIewR2/5tm+NtDe2XbiXM/kAQKeaDzY1opojea4Kj/smOZP2i4rgEo+tTrzNwR9stY7z+8NFswCU0xnlqA+Z2LKGj2Lk/U9RFOMrAsgao+sD2Few5x5wMABNiz/U43TBFNYeo+a9wKhHXujSGOESAsC2m6+j+sE7AO0W2m+/9K7Av+GGGzjssMNYtWoV5eXlPPjgg7hcLu666y5OPPFEJk6cyDnnnMPkyZPTd1JDXDqM9pNEGkv3msIst0L8KYk8DnwITBCRShG5VCnlB64EXgNWAE8qpVKuKNTnNZZET2g7d+7s+OA0ovx+dtz5ZwAchUUE62qpe+NF/Labu12w+Hds1RmBLZOUI7+Qhg/ewTVgMP6d22ha8hG+qk34tm2h6KQz2qRj3/Z/v9Orx2NyWymbU1q1NOOyp0mxGPDDX+ApH4GrWK/pcOTqWiT2c4RCjh02p7Y9DNnu7FatrdY18CGeLBy5eVpQOV24S9sKFoj4WWLJmTwVgNavIiGyrv4DcA0aSutay97QTQtnnUXFXR6j7KY72XHv32heuqjNvv3318Xe0lWb5frrr4+r8Zx88smcfHJqedQMXaOzGovPprG43D27jkUpNTtB+yvAK10Zu09pLLNnz87YJzRvVSRkN1hXi3iyaPrsExCh+Izz8AwbZTmg/QTqavBt30r2+Ej5SM+I0fird4ZzVnk3b2TnA7dT/fBd1L76HASDFB73reiTxkmYGCuA7EWxQrj6DyBn0v7hbV3kqj5KSwhpJ2LTWBw2jcUerhu0Oe/F5QprM8rpitFYokN845E9Ti/IdJePiGr32CKuuhJu3N24Bw2l+OSzotqCra14N29gyohd7NljShXvjXSksSR6jrD7WJyOYDp9LKY0cbI8/vjjcdsz4Qmtde1XUdv9z7+M6od1VJ4jNw9n/1J8WytZ/73TUX4fyusl/8ijaf7iU0Cbo3zbqsI5toKNDeHIqFCWYc+osfT79oXs+e8/IydyOOl//vfZ9eh9+rgYk5lnSDnNy6LDVmMXKDryCtpqLJYQidJYbFF6Dpv2oqIEi1sLlp3bIcYUhqvjr5u4PQy/4584S/pHtbsH28ybGSxYABy5uVHbwcZ6Nl19IcNqxgMP8N5bTYy4JDf+wYY+SYeCJYEpbFR+ZBG7O73Oe1OPpa/SuPhDBs27jU3PPhxedAg671QoFQrolOrOwqI25hH34HIKj/smudMOp3Hh+wQb6sMLIAON9eGV8f5q7UdxZOegcvKixuh/3qW4h0aCOPwxYbSuQUP0SvVgxHUvbQRLvk4caRcslhCxayZ2H4t4IoIlZOJTVoix08q7pVwuPGWR6lbJaCwAHmvNjR33kIhg6S4fS7pw5OZHbQcbdVj2PoVryfO08MqNr3H+JWf0xtQM3USsYFm8GKbZVpHYTWHzj70ApwTY0jSIA0si2VRcjrQukOzVeiw9KlhE5HTgm0Ah8KBSqk9nw2v+/BPctbtRuTl4Ro4hZ8pUap59nH6nz45yYjtycuOu7HYWFTPwimsAaFm+jEBjQ9j4HmxsIGCtEwnVI3Hk5ERVZgQtxBzZEa0iGJNJ2FlYjCM/n2BdJF+XIzv6admZl49qadbnD/WxCQ69QHFnlGAQd0TIeDetQwX8YVNY1ujxWktSkTol0DUTlnuw3RSW2c9DsRpLKAmnyxHgwOJlLKreP24GBUPf5Nvfhvffj24LVQ4N4bAJlrEF2mxu11YA3A5/wiJhfY2kf6Ei8hDwLWCHUmqKrX0WcDvgBB5QSiXMqaKUeg54TkT6AX8F+rRgCTQ04M8vZOw/Iia6wmO/iXvosKgFeI6cXBzxBItd+OQVRGkMgT27wp48X1iw5EYvQkQLllgNBNBmJ78fZ2ExzryCaMGS01ZjAb1CP4RdOyk4ehZ7nno0ykMZ0lhCwQbeqs0Q8CNZ2WE/iWt3dABFshpLPKK0GFeGaywxmZLtwn5K8So+2HkQLbvar1Fj6Ds89VTbtjbPUAlMYXbSLFh61RSWivN+HkkmLBORfUXkpZiXPQzot9ZxfZpgfW040WIIT9lwXZvDdnNx5OaFzUN27Bl1HfnR5hN7BFlo1bxk5+CIMYU58/LbaCCSlY0jV/dzFhaFV5uHzxXHFAYRzQiiBUvJuZcw+Ff/j9wDDwm35R2q6y+XzL4EAO+61RGNZexEAJ0rDCg+Y7Y1/86nTbHnJ8t0U5gzL/p/7bOFhI/O30RAufjqs+TKNRv2DhJFhdnxOAPpFCx9w3mvlFogIiNjmsMJywBEJJSw7M9o7SYK0Sv+bgbmK6WWxO63+swB5oDOl9TZlcndsao5lkB9bfjmGYs9gsqRk4ujoK3GYm+z34zsebii+mfntjHmOvIKohzsul8Okp1NsK4WZ2ExnvIRtKz4LLw/Ni+WMyRY7BqL7ZFLnE7yD5sZdUzW8FGMfXYBKuCn+oHbaV7xmQ43drpwDxhE2Q13sLBKh1r3v+BySr7zvahrkipRKVcyXLBAxHwI4NsW8b+NLtAhYSs/b2XQ1MTHBwKBDr+/PfEd7w72vnnPbNOi+0XakxEsDlrZubOGioqlnZtgBtFVY3XchGXt9L8KOA4oEpGxSql7YzsopeYCcwHy8vJUZ1cmd8eq5lgC9XUEcztOt57Qx2Jrs2s4rtIBeDc1WO8HRvlYYgPmHXn5SIxpS2s2WotxFhXjGRYduhvr63DEESyxtVsSIU4X2ZP3p/nzT8DhDJu7cqZMRVXX6D4iaUnyOOQ3f6bujZeiAgcylaJTvs2uef8AogXLqHwtWFatVO0KFqfT2eH3tye+493B12Hesf2SWbeU7QpCbnG6rk2fMYV1GaXUHUqpg5RSl8cTKiH6SmniQBxTWDy0j6WtALIvGHTk2QVLxGroGhBJhevIzm3jGHbmF7Q1beXk4sjJ1SWFs3OiQ3Xjzc8yybWus4VMp3Dtc/c9CN/WKp0gM4mQ4s6SN/0Ihvzmz2lJGNndFJ/6HUY++AySnRMVMVjgbmJgdjUrV2d2AIIhvSSjsbgde48prKuCJS0Jy2LpC6WJVTBIsKE+oSnMjiM3L8pRHw9nfnzB4h4YESyS09bH4sjNj/KHgDaFOXJycBQWISLhmiqJ8AwbGRUeDYTryydD/hFHhwVKVxz0exMigqukFM/wUfhi6t1MKFzLsk98uGJCww17L0kJFqef1tYOu/UJuipYwgnLRMSDTljWtWRL9A2NJdjUCMEgwZyONRbJzulYsBRGHPlRGstAm9Pa7Qk75cNtLhficDD093+jYYrOx+7bXkXO5KnkWTm23IOHUv7X+xl22zzK/vyPtvMToeTc74W3syfuR/7hR3f4ucJzLCmlYMbxQNt09F93+lvBDXYmFq1hdf1IVPWeXpiRoae4d8YfGZhdDSReIGmnwNPInr3kK5G0YOnOhGWx9AWNJVRjJBlTmDgcYT9GouqJzsLicBEq+4JHu39ERBCXi5EPP0f5LfeG18AA5E6dTt1hxwGQvc++9Dvz/Kj92WMmkDViNDn7RFffDB9/QMQ1Vv6nuzoUhLEMuPRqsvfZV2svhjC5Uw+m/4WXk73PvnisMs+HnrsvvqCHrxz7d3C0IdNZsCDxvuPLP2K/4hVJj1WaXcvOnektX91bpBIV1m0Jy2JJVOgrkwhVZ2xPsAz66fU0LfsE0E7uwdfcSNbYCdS+9FSUJhJi+G3zaPiwgvzDj8Z3XiW+qk3kHz6T6gfuAGfkGcBVXIKruCQq1xhAMDePUf98qU3Z3WQQh4MR9/0HAp37Vjty8yj/c5+PIO8W+p1xHv3OOI9AYwMNC97g0BFT4AZYsya/44MNGc03vtH+/lA54kSmsIJvnED9//Ryvjx3M34/eL3Qhcj8ECalSyypFPrqLTwjxzLs1oeo+mpNwj4FM44Pm4gA8q21H6UXXxG3v7OwiKITTwOg5NuR8ssjH3wmkpq+A1LVNOy44wg7Q/pw5uVTdNIZ5Afgo49gz56dwMTenpahGwkJFpUoDaU947dDm/7TlNalV1O6ZGR2477gY3FkZZE1aiwqDWG0HSEuV5tFd4a+i9MJhxwC2dl7gc3D0C5usYRFML5Z3x7h6BIr00bvV5HsMhkpWPqCj8VgMBjaR8Iai71SZHSXyC3YKWnVWHqVjBQsBoPBsDcQFhbBRIIl8ta1FwmWjPSxZJLzvrm5mby8vIT7/X4/rjQuCgwEAnRWU0v3XFIldu69PZ9YEs2nK9e8O+YD+ntnyGySEQBuCWksib5fNlNYen0saUdE8oD/AX9QSr3UXt/M+dXbyCTnfbCD2L9p06axePHidvukQlfSXaR7LqkSO/fenk8siebTWylGMu36GFLjvffatg0ZAnffrde5BZsaIqawRBqLw2YKswRLT/lYOpGx/hrgyWTGzkjBYjAYDJnO7t1t2z78EEaMgA2X64WxYS0kgY/FHivWCz6WecBdQLgkrS1j/fHo3I+LROQFdF7I5UBS0UpGsBgMBkOaCAV5+bfrzN7hSK8EUWH27JQuLO0mPYLFJSJ2dXiuleA3TCoZ64F8IA9dHqVZRF5RSiU052SkYMkkH0tHzJnTa6HibcikuYCZT0dk2nwMyREIwLXXQlmc3K4OB7SsiiQfcXcUFWYzhYXNZukRLH6l1LSOu7UhbsZ6pdSVACJyMVDdnlCBDBUsmeRj6YhMujlk0lzAzKcjMm0+huRYvBj++tf4+0TAb6ucGjJvBRI67yOEosLS5GPplpX3Sql5yfQz4cYGg8GQAu1pFNqyZY/0CpnCEoUbR/pmyDqWtGSsz0iNxWAwGDKV9gJFY0sFhcONEwoW+wLJtJrCOpvSJZyxHi1QzgXOS3WQjNRY+kJKl1dffZUJEyYwduxYbr755o4P6AZGjhzJvvvuy9SpU5k2TZtTd+/ezfHHH8+4ceM4/vjj2dONebgvueQSBg4cyJQpkYzJic6vlOLqq69m7Nix7LfffixZErcyddrn84c//IGysjKmTp3K1KlTeeWVSL7UP//5z4wdO5YLL7yQ1157Le3z2bx5M0cffTSTJk1i8uTJ3H777UDvXiND12lviZEI0Q75jqLC7Askla7ylSbB4hSRuZa/OsG5uy9jfUYKlkxP6RIIBLjiiiuYP38+y5cv5/HHH2f58uW9Mpd33nmHpUuXhtdD3HzzzRx77LGsXr2aY489tluF3sUXX8yrr74a1Zbo/PPnz2f16tWsXr2auXPn8sMf/rBH5gPw05/+lKVLl7J06VJOPvlkAJYvX84TTzzBl19+yS233MKPfvQj0v0g43K5+Nvf/sby5cv56KOPuPvuu1m+fHmvXiND12lqSrzPEXNHPWHI/+jnqeH8Uc/EP8BuCgvqKl89tY5FKTVbKTVEKeVWSpUrpR602l9RSo1XSo1RSt3UmbEzUrBkOgsXLmTs2LGMHj0aj8fDueeey/PPP9/b0wLg+eef56KLLgLgoosu4rnnnuu2c82YMYOSkpKkzv/8889z4YUXIiIceuih1NTUsHXr1m6fTyKef/55zj33XLKyshgyZAhjx45l4cKFaZ3PkCFDOPDAAwEoKChg4sSJVFVV9eo1MnSdlpbobbsgiNVYBuXsYuHJpzKuMLqKaBj7AslgWjWWPl2a+GtJVVUVw4ZF/Fvl5eVUVXW5InPKiAgnnHACBx10EHPn6hD17du3M2SITn8/ePBgtm/f3qNzSnT+3rxmd911F/vttx+XXHJJ2OzU0/PZsGEDn376KYccckhGXiND8sQKFntWnlgfS0eII3KwEy2hMjWlSyoYwdKHee+991iyZAnz58/n7rvvZkFMOTsRiUrL3dP09vkBfvjDH7J27VqWLl3KkCFD+PnPf97jc2hoaOCss87itttuo7Awul5OJlwjQ2p06GNJBfs6lvQ67zv0sXQnRrB0grKyMjZvjqwhqqyspCzeaqkemAfAwIEDOeOMM1i4cCGDBg0Km0+2bt3KwIEDe3ROic7fW9ds0KBBOJ1OHA4Hl112Wdjc1VPz8fl8nHXWWZx//vmceeaZ4Tll0jUypMaPfhR5f+utMTv9raiW5BOIis2P7EpvrjBjCosl06PCpk+fzurVq1m/fj1er5cnnniCU089tUfn0NjYSH19ffj966+/zpQpUzj11FN55JFHAHjkkUc47bTTenReic5/6qmn8s9//hOlFB999BFFRUVhc1B3YvdRPPvss+GIsVNPPZUnnniC1tZWtm7dyurVqzn44IPTem6lFJdeeikTJ07kZz/7Wbg9066RoWN27oQ77xxLbCxMaWn0dtX1V7P9thuTH9hmR0vzOpZe1Vgych1Lpq+8d7lc3HXXXZx44okEAgEuueQSJk+e3KNz2L59O2eccQag06+fd955zJo1i+nTp3POOefw4IMPMmLECJ58MqlkpJ1i9uzZVFRUUF1dTXl5ObNnz+baa6+Ne/6TTz6ZV155hbFjx5Kbm8vDDz/c7fP54x//SEVFBUuXLkVEGDlyJPfddx8AkydP5pxzzmHSpEn4fD7uu+++tKfOf//993n00UfDIeEAf/rTn3r1GhlSp6EBtFJZzjMxwV1ud/R2YMsmiGlrj+gKkntPaWJRSvXWuTskLy9PNTY2durY3kqF3lX66ryh787dzLtn6Wvzfv55OP30+PvuuguuuCLiW1nyzVkUuNuJR46h/wU/YNej+mGnqmkQM1//Lw89BN/7XtfmLCJNSqnEhaS6mYw0hRkMBkOm8MtfJt4X68IUUnxQt2ksWQ4dbtzeOpm+ghEsBoPBYGPPHthoW3ayenXivkcdFb3tkM5bgIo9dYD256QB42MxGAyGTGHSJNi2DZLxEng80dspayw2XI4AxQV+du1Ky225V30sRmMxGAwGG9u2Jd+3jWBJWWOJXvjicQd7LKVLd2IEi8FgMMRBKbj88vb7xEaFpb7UNVoQuZzKCJZUEJGJInKviDwlIia7nsFgyGh27gQrOj0hsYIlVlB0SEwOfpdT7RXrWJISLCLykIjsEJEvYtpnicgqEVkjIte2N4ZSaoVS6nLgHOCIzk/ZYDAYup9BgzruE5vN2CHtVuxtQ+xyjzQKlj6x8n4eMMveICJO4G7gJGASMFtEJonIviLyUsxroHXMqcDLwCsYDAZDhtDaCh991PVxUjaFqSCjHnmR8lvuBcDlCu4VSSiTCj9QSi0QkZExzQcDa5RS6wBE5AngNKXUn4FvJRjnBeAFEXkZ+He8PiIyB5gDeoV7RUVFMlNsQ0NDQ6eP7U366ryh787dzLtnycR5//3v43jhhTIeffRj4JB2+x5yyC58PgdLlvQLf45jj53IW28NStl5v37dOuqXfIqrejuDgYCvha1bm6ioSLm2VkbRlbi2MmCzbbuSdv4jIjITOBPIoh2NRSk1F5gLeuV9Z1fo9rXVvSH66ryh787dzLtnycR5X3ON/jt2bPxb2Nq1sHTp+xx11BEUFvZHKZ3qpbR0JgAHDVzB8l9chjNFU9jIESPoP3MmrZvWs/lfd5OX56G4uCDjrk+q9Ng6FqVUBVCRTF/L4XRKVlZWd07JYDAYgMgC+ERrV0aNgk2bfAwYEGnLzo68b37nBfpn1aR+4qCyzq8n4EyfjyWtiMhE4MdAKfCWUuqe9vp3JSqsChhm2y632rpMppcmNhgMexchwRIv1PeSS5Kps9LJmjoqGDUBt7PnfCypBGWlGnzVFcGyCBgnIqNExAOcC7zQhfHCZHrafIPBsHfh1Wm6+MY32u5Lqtp1Z4u1hVQk0bfiNEaFJcM8kgzKsvYlHXyVbLjx48CHwAQRqRSRS5VSfuBK4DVgBfCkUiotHiejsRgMhp6kvSTqHaV28dfs6YLCEtJY9J+eXCCplFoA7I5pDgdlKaW8wBPAaVb/F5RSJwHndzR2slFhsxO0v0I3hA4bH4vBYOhJOitYvJUb2XTVBZ0/sQr5WEIaS5Cm9GgsLhFZbNueawVGdUTcoKxkg6/CJ09+nj1Hphf6MhgMexdWMda4BNsJ9PJt7aJbOeRjcWiVxZU+H4sClgAvpmORZCrBV5ChucKMj8VgMPQk06cn3jdmTDsHpmCuz95nX7InRFeaVcGQj8USLI5ejwpLS1BWRgoW42MxGAw9yfjx+u9DD0XanngCnnwSfvSjxMdJCveoIb+9mYFXXBPdGI4K07dipzNt2Y07m9IlLUFZGSlYDAaDoSfx+WDIELj4Yr39y1/Cd74D3/5223xgdvx7dqV2olhBFI4K03/SGG7cYRLK7gzKykgfi3HeGwyG7uLyy3VesMWLwWXdAb1enalYBAKB9oWJnR2335TCmaWthmM5cCT94cYdFvrqzqCsjNRYjCnMYDCkmwcegBUrdCr8ZcvgHtvacZ8vkgI/WaGSKiICjuh7Wji7cWjlvaPnNJbuJCMFi8FgMKSbyy6DyTbf+dVXQ22tfm8XLN1JIo0l7LxP3zqWPpE232AwGPo8sWtSNmyA886DrVvblhlOOyJt1aEYjcXtDOwVGovxsRgMhr2eRGtRpk6NvD/ooNTGrH/3rZTnIbGmsKBeUhHysTjTF27coY+lO8lIjcX4WAwGQ7o49lj4wQ867peqKaxl9YrUJ+NMpLHoP670hRsbjaUvEmxuQjxZKcWxGwyGnuftt/WrI1KuIBlITbVQwWAbjSXiY4mkdEmnjyUtI3WCjNRYMh3l87LuvFlUP3xXb0/FYDD0EipFCSAOR5uosFgfi8cVCGda7stkpGDJ9JQuQW8rAPXvvNrLMzEYvn588gm8kqbUtzU1UFcHmzbp9SupoPzJC5bCE07BkZPbxsKhYuqxeJxBgsHU55JpZKQpzCShNBgMiZg2Tf/tKJ19MhQV6b8FBakfq1IwhWVPmKLftIkK039CFSTdLi1RfL6U0pDFwykic0lTEspUyUjBYjAYDOkgHcIn4didcIZIrGCxosIi61i0BuP1Rpc+7gTGx9J36WR1H4PB0CO056/o6gr7QKp5wuIQm93Y49SCpq/7WYxg6Qzd+BRkMBgSY/etHHVU4vUpN9+s79XXXZd4rM6amryVG9nz7L9pWflFx507JLo0cUiw9FQVye7CmMI6Q0zsucFg6Bm++c3I+/feg7VrYdy4tv1+/Wv9929/SzxWTk7n5lD126sJ1O5J7SBJcLMIJaG0pJzLqf02ra2dm5sN42OJJeNX3nen4dZgMMSlpaVtW3uVHzvivfc6d1ywNc5EOkvoXmIJlsJsPfaePTByZJdGNj6WWDJ/5b0RLAZDT1NT07atvVr1dg44QP+9/nqdjLK5Gfbdt3PzaOOAT+qg+BpLKNw4lPl4UEEDoHOX9WUyUmPJdGIdbgaDofvZubNt2/r12tcSorJS+1diueYaWLkSrroKSkq6OJF0/u6DkYdUcTnJdWuNpakpfafoDYxg6RRGYzEYeprKyrZtn38evT1sWNs+oGvaf+c7aZqIpK6xSCKHrIpEHyivl6aKl4Dv9Hbd+y6TkaawjCdRKIrBYOg27P6Uo47SSSOT/Snm53f9/IXvvc6aM2YQbKjr+mAhYvy1btESJdMEi4icLiL3i8h/ROSEjvobwWIwGPoEsTfbfv20yeivf9XWqV/8IvGxXVxsCEDhJ5309kPCCFIVIxmdosONe0KwiMhDIrJDRL6IaZ8lIqtEZI2IXAuglHpOKXUZcDnQoe5nBEtnCH8ZjI/FYOgpYtd25OZqwfLLX+rt7ggttqNiE0imgxiNxenoOcECzANm2RtExAncDZwETAJmi8gkW5ffWvvbxfhYOoEy4cYGQ48RCOiorrKySJvLpQXL//6X3BiuFO503s0bEI8H96ChAKhAgD1PP4YEu5AZMpHDP+Ze4pKeWyCplFogIiNjmg8G1iil1gGIyBPAaSKyArgZmK+UWtLR2D0qWEQkD/gf8Ael1Es9ee60YgSLwdBjHHCAdtKHHPVDh+oFkG+8AU89ldwYqQRybbr6QgDGPruAurfn07LyC+re6J41ht1oCnOJyGLb9lyl1NwkjisDNtu2K4FDgKuA44AiERmrlLq33ZMnM0MReQj4FrBDKTXF1j4LuB1wAg8opeIE+kVxDfBkMufMaGJSXRsMhvSzezfcf3/byK+lS2HAADj+ePi//0t8fE0NTJoEY8cmdz4V8NPwQUVU2447/5zKlBOTUGOJFixuR9qc9wpYQppW3iul7gDuSLZ/shrLPOAu4J+hBpst7ni0VFskIi+ghUzsf+MSYH9gOZAGN1ovYxQWQxLUvfUKO+66mTFPvoWkWvf2a86KFVooxCPZS1lcDFu2JH/OmueeYNdjyTzUp5GYe0lPOu8TUAXYg7bLrbaUSEqwpGKLU0r9Ga3dRCEiM4E8tEOoWUReUUq1CRYUkTnAHACXy0VFRUWynyWKhoaGTh/bEc6aXQwBfD5f2s/RnfPubvrq3Ltr3kMevBMn8O7rrxHMS0O8awx78/V+8slyIL6q8eGH75KTk/5KWMXLPsX+X6qoqKA8TWMvX76C5oC+3drHrK3ZwxrrWpQTESxffbWOiopNXTllZ1O6LALGicgotEA5Fzgv1UG64mNJZIuLi1LqOgARuRiojidUrH5zgbkAeXl5aubMmZ2aXEVFBZ09tiO8VZvZ9Ai43e60nyPd81ZK4dtSiacswcqxNNKd17wzBBobaF29nNypB7fbr7vmvX7e3wk0N3L44Yfh6tc/7eNn2vVOlmTmvaQd9/DRRx9JdnbEtNS4+ENaVn5O/+92LTXWjhWLqLOZ3WbOnMma27s0ZJhJkyZRcNRMgKgxCwsKmTwz0u6yosKGDRvNzJmju3LKDpNQisjjwEygVEQqgd8rpR4UkSuB19DWp4eUUl+mevIeDzdWSs3ryHGf6aWJI6mue3cWyVD36nNsuvJ8mld+3nHnNOPdspnqR+/rtSi6bX/5HVv++AsCdTW9cv7eZs/Tj7HmjBlJF6QKBuFHP4LXX4dFi2DDBp09+JNPuneedhYv1lUd589P3Kd1SfR6kq03XcOepx+L21cF/Oz+zzyCzTpHSqCxnpavlscfuDsXPtvuFWU33Unp9660Jhh9Tgd6Ow2msIBSak57/hWl1Gyl1BCllFspVa6UetBqf0UpNV4pNUYpdVNnTt4VjSUttrh4ZHxp4lCq6z4gWUI/It+WSnL26WTWvU6y9cZr8G2tpOiEU8Khmz2Jd9M6AFRvGaxDDtteEqx7nnsCgGBzE053UYf9d+2Ce+6Be+9tO+UXX4RvtTFwp5/p0/XfN99su2/fUXv4fH0/Wr9cAocf1bZDHBree5vdTzxEoL4WV7/+7HriYfD7GPPUO23rz8cIls5UiEyGnEn7I26PdZLoCy0CbrfC7+/yvaVX0+Z3RWMJ2+JExIO2xb2Qjkllvsby9cS7ZTP+XXEyASYglZrg3UKmBFl0IFgCdTX4dmxL/3kd+uYUe8NMREj+xpvuFynWtAq2trDjH38h0ND5vPa5ubBwISxfDqtXw1t/e4uPTzol6WDM1vWr2X7bjXo+zc3aMe+3hEW8axLTtvacYzs99zbETNpZVAxA9riJbbq6XD2jsXQnSQkWyxb3ITBBRCpF5FKllB8I2eJWAE92xhYXj0xPm5/sD3VvY9MV57Ph+2f19jSSJ0PWG3X0fdlw2dls/ME5aT+vhFaKJ7mwr7UucQ76VL/ydW++TN0bL7L7Pw+ndqCNAw/UGszEiTBmVACnt56SrFpaViV3m6l95dnIRsxDTvOXS9v0T2edlVGPvdLufvfAIQz7+8MRk5gNZ6AlHYLFKSJzrdpWPU5SgqU7bXHxyHSNZW+x2a9cqR+kRHSs/0cfRbYfeCDyvrBQ29vHPbeAyz/6E5s3R/bZX0cfPTNqe9TcJxn33AIGTxzMgQfqGhixKAVTpsQfb/jwyPuWFrjgAv3+nXfif57aWvB4IseMfuR5xj23AHf/UgYMiLSDvlmJwJo13XRx7XRwY1fdVeA8VDckSanga0ls+kn5WSp0QBeEuz2/165/3c/uJ7SQal2zEu+WzQmOik/9/16P2t716H0A+Gt2E6irBaDxwySX8SeBMyYKMJ7ZPGvkmLhh6E7lS8fK+8zXWHqarmostW+8RNG7r6Z5VhG2/O4n+k0fXyB51+2Rx6K1a+HGGyP7LrN5t+rr4bbb9Pu3th2Z9GrnELv3OPj0U9gc517g98OXCR5A7f3Xr4fHLP/sT34Sv/8nnyROhVFdHXnf0qKFKugFeN1Nb2m4Yn0/kzVJ+r2J55myfEjDb8NeQLbh/bej9gVqa7o0duiabPje6ay/6BQ2XnF+l8ZLJ04J9HmNJSNzhXW1NHHLyi/I+SotVrm9mpY1K4CIQ//llxP3tUfpFBZ27nw/+Qmcdsg6ZPAIcnKd+HzJ37CmTIm8/+wzuOEG2GcfWLcOxozRFfeSLY5UZPNj/+9/sHHjaP77X10dduzYSF6pDz7Qdv6aGjj4YB0p1dqqC0V5vTp3VX29vh6ffuKnepeDM89ycO65cPHFcFDDd+gX3ErxQ7m8v0yft7ZWp3x/9VWdnTcQgNZPfkP/rN1kXQl5efDxx7rfz3+u5/Ozn8Hpp+vU7y0t8Omneo6bNk3k00+1Y33cOO1879dPj+Fygfvz03ln3WRajyvlR1dr5/sFF+gbdkuL1tref19fx5oaGFCUOFNjp5+gu6CxRP38Y8bpqv/Ou3Edu/79QHjbl6IGlDJJCNqBV/2aHXf+GbfDnzYfS5dH6SQZKVi6GhUmTicSf5lMl9mb/CvKn7yp8auvIu/79UvtPB6PwusV5s+H+fM7F5sfe9l/97tODQNooRDi44/h44+Hd3jMf//bUQ/9U1ryKfz2t7rlPWbrN591NJaVYDbGLHfBBZH3H34Y75yDeNt6kI9vHrQGqIY5cW4xoWOXLg21JBYsd9+tBVqy+LYfgXfTENzrhuCJCenZtWsK/ZNY1hMlWGK+AHuefozcKQdEtSmlwlpaMuz57z877tSTWKbLNGksvUpGmsK6jNPZfTHptielQO2e7jlHhqN8rSn1v+J7DfzhD+k599NPw9FHp2esJUvgoovatq9frzWEdPDRSaemZyBg+/a0DdUhhxwC+++vfVag/V1btiT/2rY7mx0tpWyryWuzr7o6K+FxuU6tdua5Gjn5mEhEWewDXfPSRTR8tCCqbesNvwq/926tpOmzxWQMSci7kFDcGwRLRmosXTWFicOBdJNgaW9NRGurNhnV1lrzEP3D9HojIYQFBVru5efDvvvqZHp9DW+TD0j+f+NwKkpL03PugQOjTVldYcgQbeqKJf/zZ+jnOQYo7vI5+mfVdHmMEAMHpm2odrnv0Gu49NVfU/3ovQy47Kc4OvE7rHnlbarvv52iWacz4Ac/i9pXUfFJwpX3a86wlQd5GZoPvxP/rmoCe3a16bvtlt9S/pdIbq+mTz8Ov9/0o5SzkKSdku/OYffjD2p7ZzAJk6AlWFyOQDqc9726jiUjBUuXF0g6nW1WtKaL9hZNHX10IpNFfE45BV5Iy8qfdmjPNNBJB6u3NbVoPYeolOphtIfTmb6YCVfLbqCkTXvNQ7fhWwZwZlrOI6JQqu8EergkwK5/3U/9W6/gKikl75CjyB4zIW7fQGM9zryCpMateeVpHJ5scOUlPZemJR8nXFUPpLdMcJopOeu7eDespeG9t5LzCUnEFNaydTswqCun71Ufy15pChNH95nClD8iWHKmTo/al4pQGT8e9nTSkuar3s66C76Ft3Jjx527YS2Htzk1waLq9tCyekVazt20/HO8m9anZSz/5x8kvDwi6fv+eJw9ULUpjTgkiL9a2932/PefVP7iMpq/WBre763axLoLT6HuzZdZ/91v0vRZJOeL8vnYevN1VN8fSYjV8P471L/7JtX3386Ou29J6aGvo6wJGbJUKSFiPVEllf3BWtDqEj8tu2u7c1rdzl4pWHA6u9EUFrlJuIrbPu0my6BB0U7kpM8f8FP/1nyCDXVdKj4UbG2lakfnTI0bk5BndpoXVlD3ZjshZymw65F7Ul7DkIj6f99N7avPpWWs9siS1HxSiVhzxoy0jNMRLgm0Ceetuv7qsJ+j9rUXCNbXaiGBztUF+ru58YrzaPz43fBxDR8vYNtff8/2W/9fZPw4Zq3EdCA5Mj2YxloyoVJYk+d2+Gmp7tv+24w0hXXZx9KtprD0eNWymnfQ4OsPOFGBQNu8RUqxa97dFB5/Cp7yEQA0f7GUquuvjvQJBql+9D5qnn8CAgEKZ51O3avP4Rk2iqKTz2T3fx4mULMb0AWLfNu2kDftMHxbK/nwhkd47ct/dWruN93eVqAWueuo9cWPQx5bsIEsR3oWAZZk1TChcC1vbO36TVZaGhmZXxl334TCdV0eP8RRAz/m5arj0jKWgwBBujcjRa6rOa7ppunTheQddGgbU6TyelGBABsvPxd/9Y6ofYE9u9uM46xP4Wm8Q5Uken+grpZgc+IMAj2NOK1bbDKmMOuzuh1+fIHMzDqSLBkpWNITbqxQwSDiSK9SZtdYuqKHS9VKmvxj8VYF2HTl+Qz+xR/JPyIS7uTfvpWaF56kcdEHjPjHvwHY//BCVtfbImGeC735gW3bcpTeCXBa9EnD/ScBJwBw9KD3OXbI+4zM38zqutGU525lZ2sJtV4tJBTgQKEQmgPZDM3ZRvn5s/E+fRcNfu35dkmAbwz+iDe2zKAl4OGwAUtoDmTzStUxDMreyTfL3sY9bjJ/8t3MjpZSnBLAIUGUcuCQAGMKNuIPuqj1FVDgauSIgYt4e9sReAMejh+6gPUNw6nYdij79VvJ4bf+glH/fZp+z91GSzCLFn822a4W/EEXBe5GhudV0RrwUOstpF9WLYeULuG1Ld/AKUFOKnuHhdVTWVg9lWMGf8DIh5/jB/ffS9Zjt9IcyMbt8HHYgCWMeuQFLnngDhxyMwOydlPZNISjBi5kfcMwmgPZDMjexebGoayuH4Uv6CLP1USeq4mtzQPpn1XD4OwdrK4fzQWjn6b8r/dzy09/xCGlSxmUs5OtTYM4Zsj7LNm1L4XuehwSZHPTUDY2lOEQhVMC5Dhb2O0tZlB2NQXuBjY3DuXScU9Q8I0TWOQ9hZerjmFA9m52tJRw7OD3eX/ndMpzt+INulldN4rtLQNwO3zkuxrJcnqpbBxCrquZUuuzfHuETi5e7yvAF3Txec0+BBECQSeTi79iSvEqvBvbfrejvvtx9sUKlUSIz8vmay7HPWgog3/Wftx4R4kgt9/+p6jt9Rf1ynrAhIRNYSlpLD58wS7fmo3zPu1YOZICe3bh6p/esCv7jytBSZmk8Dh8+H3QumE1APXvvxMlWEJj28MsV9d3qT5DXK7aZx779lsFwCGly5I6Zsgxx7H1vUVt2r9ZHr06+qp95gFQ9M2zcA0YxLfX/CPpeZ027I3w+wNKvuSAEr3gVVznkZsLF455Jumxzh4RWd05Y9BCZgxaqMdyusjtl8f5o5+O6u8oKMKZm8e3Rzwf1T4iP5K8e1r/5MoQZI+ZQJbTx+xR0VEa0dcqubz0g37yW+r/N6PNWGcOj2SZOHJg6iG2hwxYmvIxscTTTBIhfh+tXy2n9avl0EXBEkxF++kNnCn4WCxZ7nb4afDFCVdMDeO8Tzchs9KG759F6/rVaR27dfXKyEYXHIdZ/YvwKjdiRYK0Md1Z2lAqC746g8uRumlPeVPzGYjTGUmI2FXSeD3E5Yo7noiEnzTTc6K+ExHWEf7d1dS88GSb9o0/PDfpMUrefC5qu+aVZ2hc8nHcTMh1b7Yt3VQ46/SkzxVFO/8HZ5ofQMOndFnf+3a0vVjc4sMX7NulrDNSsHQ5CaXNX9G6Pn1ZBpt31TH17AOZ/MIbTH7hDUb+6tdkZxN+pYLbLfgDDrbt8rDP82+zcH10hcfmxiBTX5rPy2t1Uc7uin5xSScES7xsku3hcIIzA79qDmc4xLM72Vvq3ft37WTDpV0PwRbb73r3U49Sff9tbL3hl2y6+oJ2joow8Ac/Y+yzCxhxzxPhtkE/+x3Fp0ZniHaXDWfsszbTcQ/8r2MJ+VhSMYW5HAF8qm9/ZzLSFNZVH4sjN5JZNJ2ZY/dU+9jQOIwjBixicrHOcVJ82ncA8G2tpLFqJ3Mrprc3RBi3G1p8bp54dRAB5eLPrxzDwD89Rsu7b7JqyEy++tBFoz+Pa/83h2NXRRZdppOzh7/MuMIUQ7yA7bff2HEnG7EaS/8LL2fXP+9N2D9n/2k0L9Mmnex99qUltvplmjQAcTkRR/drE+LydF8G4x6k+v7b0j7m7n9FsoDGdfT3609gzy6yJ+1H1pgJUWtm3IOHRgmOgqOOo+7NVwg2NQC09a92w7/aM3IM3g1rE+5PJdw4pN140uNjSSsiMhq4DihSSp3dUf/Mmn2a8AwbGX5vTz8S9LYibk+nzUstjVqdPbnsbc4ZqcNn8/ovp2X1CgKN1TiG5hEYexEPromYBfJcTTT629pL87O97Gkt5Pp/aCf5x5vHcfh144Dvwj4AZQDUe3PZZ5/25/Xi0Rdzyjvz2rQvOvmbFHvqGffcgjb78lxN/PnAWzr+0OnA4Qj/wIpPPYd+Z5xHvzP0ymjl84HTSaCuFmdeHkGvF2dePrWvPk/u/tNwDymLCbNVFB77TRo/avuZOpxGQVG0Td7hxJFgcV86fXOu/qV4rZtdV8metB8tyz/ruGMXyD/yWBreeytt4w3+xR9xFvfDu3kDTZ8upHHhexSecAp1r7fvUy46+UwGXPaT1IJw7P1if+fiANJbiiNr9HgGzPkZVb+5ItzW7zsXRzqENZZkBIvWUtLkvO/4fCIPAd8CdiilptjaZwG3o2veP6CUulkptQ64VESSym2+VwqWrOGjwu9bVn0Jp0CgoZ71F3yT/hf+kH5nzG5zTN3b83EPHELOlKkJx21u0F8Oj8PHwCuuYcfdt0TF7AebGvn5pPvYv99yWgJZZDtbOXLgIj7aeQA1vkKmFK+i3pdPrquZsUeMZELDayiETY1lDM+LOIad+YUEGuqobBzC0NztOKzFek3+HPzKyfC8LWxrHkBQORiau519itZRccK3+WzPRAbn7AQUQeWg2KNt1v874Wwqm4aQ52qm0Z+DQocAA2SNHodv+1aKTjqDPU892uYzu4cOi8r8WnLe9/Ftq8JbuVE7Xy3yDvtGwnoWedMOxzNsJM1fLqPwuOj6tiEzkatYZ7Z0WiVbi2ZFItpGPfYK6797sp7viDE4cnLJm34EjYveT/CfipCz30E0Wwv4sidMxllUTP1bugiTiJB38JHstmW5DVF86jntalWpMPT3fwsXSHMNGkrewUdQ+2J0Jsr+F/2QXY/c0+FYQ37zZ9Z/95vh7ex9ptCyMsXyjtac/NXb2XH3/0XvcLkYeOW1DP757wFoWb0C5fdrjfzjd8k/4mjcZcMRl4uWlV9QdOJpNHy0ABXwU3DEMXg3b8BVOhBHTtuHqZzJUyk45iQ+fvLfjDn/Yvpf+EOqH7wDRKh/ez5lf/4HniHl4HSyc+7fKTnnYiCO5tEedg005jhxSPqLioqQPX5SeLP85nvInjA5sjuVcGOrr9vh7ymNZR5wFxDOxikiTuBu4HigElgkIi8opZbHHSEBe6VgceRGUkY0vP8Oaxe+T/GZ+gl51z/voWXl5/S/8HJ8WzaTs980EL3OA6D4zPPxVW7ENWAQrgGDcQ8aQu5+B+HIzaO1UX85sovzKPjGCahgkJ33/CV8LnF7KDniaE6qeC3cNvLBZyiIsUtnjZmAw7mLb5W3Ew1UnNpnLsvdTlludJZCd/kIfJUbGZq7g6G5bUNBc6ZOp+z3fwtvl8y+lEBdDa7ikqi1Na2b1qN8XpTPR84+kfz1yuelcfGHBJubyD/yGD4Yux/71FeTd/CR5Ezcl0BdDY6cvLDwGPTj61L7UBbOvPxoWzn6BquCQZS3FdXaiiM3j+Yvl+IZPgpnQSF177yKZ+hwsifuizidtKxZiadsOI6cXPIP+wbezRsAyBoxmqof/ZZppcXg94efLMXpYvS/X9XOLRFUIIAjN4+WFZ+RM3kqvp3b2fXYXHL3PZBgawtFJ5xCsLUVBIJNTfiqNpI1WqdBcfUfwNDf/xVnyYDwQ0//8y/Du3EdrtKBuEp0IrXi087Fv2MrDe+/w65H7yN/xvG4Bwyi4YMKBl97k3UtChjzdAXB5kY+eeQBDrrw+zjzI1qXf3c1yutFPB72PPtvCo+ehW/bFrb9JRJ9VXzGeeRaWSPyDj4Kf/V26t99i35nzMZZWBx1nUOlc3Mm7kvhMSdF7csaMQaA/EMjGqXdWhAPhyeL1vJRiAjOvHwGXf0bAAZd9euofh2FISdC7H6UWJ9KN/hYRCRqDZpn5Jjo/ZZ5KzlTWEiw9IzzXim1QERGxjQfDKyxNBRE5An0ugUjWADqDzqSgk/eA/QNcM9/5oX3NS58j8aF78U9ruaZxIsGN9WMBx5g4CnfRNxuik44haITInHzobTdA6/+Da2rV+AZPgpHdg4jH3yG1g1ryR67D+LxIG4PgboaNlxyhj7Q4SBr5Bha13UcwVZ2051kjR6PCgSo+s0VFJ92LlljJuAZWk7Ny09TeMxJBFtbCdbXkjV6PI2ffIjy+8k/5Cha16+madlinMUl5B14KM7C6GyO4nCEswnYfyx2DTCqv9tD/mHfCG/7SwZQeua3w9uxN6l0Iw4Hkp0D2Trde64txU7RCdFZhbPHRuyJeQcdRt5Bh4W3ldtD3gEHtxk/0VM3gHvAIAb/9PqofSFty5lXgHtAdJ6n3KnR4zuysqOedEHfpNyDhtLvzPPpd2ak8FT/70ZHjYrDgTOvgKZJB0QJFSAspAAGXKoX02aNHt9GMIfnXFiEs7CIrNHj4+7vc9i0lDYm7x6JzoupbW/9BhKZXKOOtASLSwLp0FhcImKPPZ+rlJqbsHeEMsCe2qISOERE+gM3AQeIyK+VUn9u9+QpT7cP8O678FL9hYw6cA41zz6etnE3NWq/R25p/BXmoS+yxKjHrpLSqB88gKtff8Y+u6BNDYmKN99kxuGHIW43QW8rLV+twLtpPe7BQ8kePwlXv0ghi+G3PxI1Zr/TtYnPCWDd2Ow30KxR48gaNS7FT20w9CEksSmsRwRLzCnyjzqOYGsLhUfPit/fhqtU/2bdDl86osIUsIQ0LZBUSu0CLk+2f0YKlq6mdHnoIZg3L/SE+ut2+6aKiGLE/oPTOF7MN9HlCpvynNaTdLynaYPBEId2BIuII+0+FtXBOgBxONpoz4lwD9T3FY/Dh7/3osKqAPvah3KrLSUyUrB0Ndz4L3+BE0/8kMMOO6zjzimSmyt9soaKwfB1I5Vw407rMjFyJR0Lmt0OP37lIuAP4nR12i/U2ZX3i4BxIjIKLVDOBVIubpORgqWrlJbC4MGtjBjR2zMxGAy9RgrO+/RpMukQLHpZg6+1S4Klw1xhIvI4MBMoFZFK4PdKqQdF5ErgNbRV/SGl1JepnnyvFCwGg8HQxqfSLYth058SwyV6rU1Lc4DsvE7fojvUWJRSbddd6PZXgFc6e2LI0JQuBoPB0FViTWHSjjaRNpHTVVOYyxXWWBpWJ17RnwROEZlr+at7HCNYDAbD3oPdmZ7mkhkAuQccEhW63f+870d36KpcKeoXFiz+rtVkCSil5vRGynwwgsVgMOytxGgPHUVwJcOgmIWbbVP/dE2yOIuKcVsZx2VI/PVjyQ71tdBYRGSmiLwrIveKyMyeOq/BYPh60iYqrJOCpWDmiZGNBFmK+337IuukXRMsxaedi9vKOO5Tnq4Mlfkai4g8JCI7ROSLmPZZIrJKRNaIyLUdDKOABiAbvZrTYDAYuo80rbz3jBzD8Lv/Rd3B38BhZasoPuM8xBNZZ9f/vEsZ++yCLlesLZhxfFhj6csJsZO9CvOAqKWjtmRlJ6Fr3c4WkUkisq+IvBTzGgi8q5Q6CbgG+GP6PoLBYDDEISa82FXcj5LZl8bv63DgGhBZ+Dzsb5HEpMHGBjxDh1F32LHhdSqlF17OmP+80WaYdDD0Cp2Kp4PimR3Rq6awpGLZUklWZuWQ+RaJ2QMkXFIvInOAOQAul4uKiopkptiGhoaGTh/bm/TVeUPfnbuZd8/SnfMumLA/RR/qlP+7du/iq4oKyq19O0buw7qBI8LbIZrGTqLusGPxl0T8JZWbtiA/vI6iBa9SVTIUVVHRY9d7zdYSoIQPP/yEPXvaVtVMkl4tTYxSKqkXMBL4wrZ9NjpXf2j7AuCudo4/E7gP+A8wM5lz5ubmqs7yzjvvdPrY3qSvzlupvjt3M++epbvnvfr0o9Tq049Su5/5l1JKqdYtm1XTis/C+2tefU6tPv0o1bh0UUrj9tT1fv11pUCp997r/BhAo0ry3t4drx5bIKmUegZ4Jpm+Xc0VZjAYvr4Mu+1h6t54iWIrKatnSDkMiegpRSeeRtGJpyU6vNcZMgS+/W3o169Lw3S48r476YpgSUuysnioLuYKMxgMX1+yRoxhwPd/3NvT6DRTpsCTT3Z5mF41hXUlhCGcrExEPOhkZS+kY1IicoqIzA0kCO0zGAwGQ+aSbLjx48CHwAQRqRSRS5VSfiCUrGwF8KTqRLKyeCilXlRKzXE6u7Ty1GAwGAy9QLJRYd2WrCwexsdiMBgMfZeMTOliNBaDwWDoEpm/jqWnMRqLwWAwdIk+67zvNozGYjAYDH2XjBQsBoPBYOi7GFOYwWAwGNKKqDTUKOguRCQINHfycBfgT+N0eoq+Om/ou3M38+5ZzLy7nxylVK9ZpDJasHQFEVmslJrW2/NIlb46b+i7czfz7lnMvPd+jI/FYDAYDGnFCBaDwWAwpJW9WbDM7e0JdJK+Om/ou3M38+5ZzLz3cvZaH4vBYDAYeoe9WWMxGAwGQy9gBIvBYDAY0speKVhEZJaIrBKRNSJybW/Px46IDBORd0RkuYh8KSI/ttr/ICJVIrLUep1sO+bX1mdZJSIn9uLcN4jI59b8FlttJSLyhoistv72s9pFRO6w5v2ZiBzYS3OeYLumS0WkTkR+kqnXW0QeEpEdIvKFrS3laywiF1n9V4vIRb0077+IyEprbs+KSLHVPlJEmm3X/l7bMQdZ37E11meTXph3yt+NTL7n9Aq9WRe5O16AE1gLjAY8wDJgUm/Pyza/IcCB1vsC4CtgEvAH4Bdx+k+yPkMWMMr6bM5emvsGoDSm7f+Aa6331wK3WO9PBuYDAhwKfJwB194JbANGZOr1BmYABwJfdPYaAyXAOutvP+t9v16Y9wmAy3p/i23eI+39YsZZaH0WsT7bSb0w75S+G5l+z+mN196osRwMrFFKrVNKeYEngIwpcK2U2qqUWmK9r0cXSStr55DTgCeUUq1KqfXAGvRnzBROAx6x3j8CnG5r/6fSfAQUi8iQXpifnWOBtUqpje306dXrrZRaAOyOM6dUrvGJwBtKqd1KqT3AG8Csnp63Uup1pQsCAnyELl+eEGvuhUqpj5S+k/+TyGftFhJc70Qk+m5k9D2nN9gbBUsZsNm2XUn7N+5eQ0RGAgcAH1tNV1pmg4dC5g4y6/Mo4HUR+UREQim5BymltlrvtwGDrPeZNO8Q5wKP27Yz/XqHSPUaZ+JnuAStgYQYJSKfisj/ROQoq60MPdcQvTnvVL4bmXi9e5W9UbD0CUQkH3ga+IlSqg64BxgDTAW2An/rvdkl5Eil1IHAScAVIjLDvtN6yszI+HUR8QCnAv+1mvrC9W5DJl/jRIjIdegcW/+ymrYCw5VSBwA/A/4tIoW9Nb849MnvRiaxNwqWKmCYbbvcassYRMSNFir/Uko9A6CU2q6UCiilgsD9RMwvGfN5lFJV1t8dwLPoOW4Pmbisvzus7hkzb4uTgCVKqe3QN663jVSvccZ8BhG5GPgWcL4lFLFMSbus95+g/RPjrTnazWW9Mu9OfDcy5npnCnujYFkEjBORUdZT6rnAC708pzBWlMuDwAql1K22drv/4QwgFKXyAnCuiGSJyChgHNrB2aOISJ6IFITeox2zX1jzC0UdXQQ8b71/AbjQilw6FKi1mXN6g9nYzGCZfr1jSPUavwacICL9LDPOCVZbjyIis4BfAacqpZps7QNExGm9H42+xuusudeJyKHW7+RCIp+1J+ed6ncjo+85vUJvRw90xwsdLfMV+knout6eT8zcjkSbMj4Dllqvk4FHgc+t9heAIbZjrrM+yyq6OUqmnXmPRke7LAO+DF1XoD/wFrAaeBMosdoFuNua9+fAtF685nnALqDI1paR1xst/LYCPrSt/tLOXGO0T2ON9fpeL817Ddr3EPqe32v1Pcv6Di0FlgCn2MaZhr6RrwXuwsoO0sPzTvm7kcn3nN54mZQuBoPBYEgre6MpzGAwGAy9iBEsBoPBYEgrRrAYDAaDIa0YwWIwGAyGtGIEi8FgMBjSihEsBoPBYEgrRrAYDAaDIa38f+8JM9Ui3dbYAAAAAElFTkSuQmCC\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -302,11 +420,11 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 10, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T12:13:28.382777Z", - "start_time": "2020-10-09T12:13:28.368511Z" + "end_time": "2020-10-11T03:33:18.651384Z", + "start_time": "2020-10-11T03:33:18.636636Z" } }, "outputs": [], @@ -328,15 +446,19 @@ " return qt.optimisation.TensorNet.QtreeTensorNet.from_qtree_gates(circuit)\n", "\n", "@ex.provider\n", - "def peo(tn):\n", - " opt = qt.optimisation.Optimizer.DefaultOptimizer()\n", + "def peo(tn, ordering_algo='greedy', tamaki_wait_time=15):\n", + " if ordering_algo=='greedy':\n", + " opt = qt.optimisation.Optimizer.DefaultOptimizer()\n", + " elif 'tamaki' in ordering_algo:\n", + " if '_' in ordering_algo:\n", + " _, time_str = ordering_algo.split('_')\n", + " tamaki_wait_time=int(time_str)\n", + " opt = qt.optimisation.Optimizer.TamakiOptimizer(wait_time=tamaki_wait_time)\n", " peo, _ = opt.optimize(tn)\n", " return tuple(peo)\n", "\n", "@ex.provider\n", "def sim_costs(tn, peo):\n", - " opt = qt.optimisation.Optimizer.DefaultOptimizer()\n", - " peo, _ = opt.optimize(tn)\n", " costs, mems = tn.simulation_cost(peo)\n", " return costs, mems\n", "\n", @@ -348,11 +470,11 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 11, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T12:13:30.576497Z", - "start_time": "2020-10-09T12:13:30.563939Z" + "end_time": "2020-10-11T03:33:19.218710Z", + "start_time": "2020-10-11T03:33:19.214736Z" } }, "outputs": [], @@ -371,11 +493,11 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 12, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T12:13:31.415936Z", - "start_time": "2020-10-09T12:13:31.412602Z" + "end_time": "2020-10-11T03:33:19.709292Z", + "start_time": "2020-10-11T03:33:19.687803Z" } }, "outputs": [], @@ -386,11 +508,11 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 13, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T12:14:23.221292Z", - "start_time": "2020-10-09T12:13:32.209570Z" + "end_time": "2020-10-11T03:33:34.270292Z", + "start_time": "2020-10-11T03:33:20.397957Z" }, "scrolled": false }, @@ -398,120 +520,97 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "a2880f9d929c4256a869fe9aebb2b159", + "model_id": "aacd4f2ba12c42098133c49a47077d7c", "version_major": 2, "version_minor": 0 }, "text/plain": [ - "HBox(children=(FloatProgress(value=0.0, max=120.0), HTML(value='')))" + "HBox(children=(FloatProgress(value=0.0, max=40.0), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { - "name": "stderr", + "name": "stdout", "output_type": "stream", "text": [ - "ERROR:root:Internal Python error in the inspect module.\n", - "Below is the traceback from this internal error.\n", - "\n", - "INFO:root:\n", - "Unfortunately, your original traceback can not be constructed.\n", "\n" ] }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = ex.plot_variables2d(('sum_flops', 'max_mem'), n=[N], p=[3],\n", + " d=[3,4], edge_idx=range(10),\n", + " seed=[SEED]\n", + " )\n", + "for ax in fig.axes:\n", + " ax.set_yscale('log')\n", + " ax.grid()" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "ExecuteTime": { + "end_time": "2020-10-11T03:32:05.580417Z", + "start_time": "2020-10-11T03:32:05.034225Z" + }, + "scrolled": false + }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "58766bb48c1142a885c375dc4a55818c", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatProgress(value=0.0, max=40.0), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, { "name": "stdout", "output_type": "stream", "text": [ - "Traceback (most recent call last):\n", - " File \"/home/dali/.local/lib/python3.8/site-packages/IPython/core/interactiveshell.py\", line 3331, in run_code\n", - " exec(code_obj, self.user_global_ns, self.user_ns)\n", - " File \"\", line 1, in \n", - " fig = ex.plot_variables2d(('sum_flops', 'max_mem'), n=[N], p=[3],\n", - " File \"/home/dali/side-projects-hobby/cartesian_explorer/cartesian_explorer/Explorer.py\", line 212, in plot_variables2d\n", - " fig = self.plot2d(self.get_variable, varname=varnames, **kwargs)\n", - " File \"/home/dali/side-projects-hobby/cartesian_explorer/cartesian_explorer/ExplorerBasic.py\", line 178, in plot2d\n", - " data = self.map(func, processes=processes, **uservars_corrected)\n", - " File \"/home/dali/side-projects-hobby/cartesian_explorer/cartesian_explorer/ExplorerBasic.py\", line 72, in map\n", - " result = np.array(list(tqdm(\n", - " File \"/home/dali/.local/lib/python3.8/site-packages/tqdm/notebook.py\", line 215, in __iter__\n", - " for obj in super(tqdm_notebook, self).__iter__(*args, **kwargs):\n", - " File \"/home/dali/.local/lib/python3.8/site-packages/tqdm/std.py\", line 1104, in __iter__\n", - " for obj in iterable:\n", - " File \"/home/dali/side-projects-hobby/cartesian_explorer/cartesian_explorer/ExplorerBasic.py\", line 73, in \n", - " map(lambda x: func(**x), param_iter)\n", - " File \"/home/dali/side-projects-hobby/cartesian_explorer/cartesian_explorer/Explorer.py\", line 193, in get_variable\n", - " return self.get_variables([varname], **kwargs)[0]\n", - " File \"/home/dali/side-projects-hobby/cartesian_explorer/cartesian_explorer/Explorer.py\", line 144, in get_variables\n", - " retval = f(**call_kwd)\n", - " File \"/home/dali/side-projects-hobby/cartesian_explorer/cartesian_explorer/lib/lru_cache.py\", line 154, in wrapper\n", - " result = user_function(*args, **kwds)\n", - " File \"\", line 10, in circuit\n", - " comp.energy_expectation_lightcone(list(graph.edges())[edge_idx])\n", - " File \"/home/dali/anl/qsim/Qensor/qtensor/CircuitComposer.py\", line 95, in energy_expectation_lightcone\n", - " composer.energy_expectation(i,j)\n", - " File \"/home/dali/anl/qsim/Qensor/qtensor/CircuitComposer.py\", line 71, in energy_expectation\n", - " self.ansatz_state()\n", - " File \"/home/dali/anl/qsim/Qensor/qtensor/CircuitComposer.py\", line 132, in ansatz_state\n", - " self.cost_operator_circuit(gamma[i])\n", - " File \"/home/dali/anl/qsim/Qensor/qtensor/CircuitComposer.py\", line 121, in cost_operator_circuit\n", - " self.append_zz_term(u, v, gamma)\n", - " File \"/home/dali/anl/qsim/Qensor/qtensor/CircuitComposer.py\", line 115, in append_zz_term\n", - " self.apply_gate(self.operators.cX, q1, q2)\n", - " File \"/home/dali/anl/qsim/Qensor/qtensor/CircuitComposer.py\", line 42, in apply_gate\n", - " self.builder.apply_gate(gate, *qubits, **params)\n", - " File \"/home/dali/anl/qsim/Qensor/qtensor/OpFactory.py\", line 107, in apply_gate\n", - " self.circuit.append(gate(*qubits, **params))\n", - " File \"/home/dali/anl/qsim/Qensor/qtree/qtree/operators.py\", line 62, in __init__\n", - " self._check_qubit_count(qubits)\n", - " File \"/home/dali/anl/qsim/Qensor/qtree/qtree/operators.py\", line 66, in _check_qubit_count\n", - " n_qubits = len(self.gen_tensor().shape) - len(\n", - " File \"/home/dali/anl/qsim/Qensor/qtree/qtree/operators.py\", line 408, in gen_tensor\n", - " return np.array([[[1., 0.],\n", - "KeyboardInterrupt\n", - "\n", - "During handling of the above exception, another exception occurred:\n", - "\n", - "Traceback (most recent call last):\n", - " File \"/home/dali/.local/lib/python3.8/site-packages/IPython/core/interactiveshell.py\", line 2044, in showtraceback\n", - " stb = value._render_traceback_()\n", - "AttributeError: 'KeyboardInterrupt' object has no attribute '_render_traceback_'\n", - "\n", - "During handling of the above exception, another exception occurred:\n", - "\n", - "Traceback (most recent call last):\n", - " File \"/home/dali/.local/lib/python3.8/site-packages/IPython/core/ultratb.py\", line 1148, in get_records\n", - " return _fixed_getinnerframes(etb, number_of_lines_of_context, tb_offset)\n", - " File \"/home/dali/.local/lib/python3.8/site-packages/IPython/core/ultratb.py\", line 316, in wrapped\n", - " return f(*args, **kwargs)\n", - " File \"/home/dali/.local/lib/python3.8/site-packages/IPython/core/ultratb.py\", line 350, in _fixed_getinnerframes\n", - " records = fix_frame_records_filenames(inspect.getinnerframes(etb, context))\n", - " File \"/usr/lib/python3.8/inspect.py\", line 1503, in getinnerframes\n", - " frameinfo = (tb.tb_frame,) + getframeinfo(tb, context)\n", - " File \"/usr/lib/python3.8/inspect.py\", line 1461, in getframeinfo\n", - " filename = getsourcefile(frame) or getfile(frame)\n", - " File \"/usr/lib/python3.8/inspect.py\", line 708, in getsourcefile\n", - " if getattr(getmodule(object, filename), '__loader__', None) is not None:\n", - " File \"/usr/lib/python3.8/inspect.py\", line 747, in getmodule\n", - " if f == _filesbymodname.get(modname, None):\n", - "KeyboardInterrupt\n" + "\n" ] }, { - "ename": "KeyboardInterrupt", - "evalue": "", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m" - ] + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ "fig = ex.plot_variables2d(('sum_flops', 'max_mem'), n=[N], p=[3],\n", - " d=[3,4], edge_idx=range(30),\n", - " seed=[SEED]\n", + " d=[3,4], edge_idx=range(10)\n", + " ,seed=[SEED]\n", + " ,ordering_algo=['tamaki_5']\n", " )\n", "for ax in fig.axes:\n", " ax.set_yscale('log')\n", @@ -542,13 +641,13 @@ "execution_count": 14, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T08:45:27.390397Z", - "start_time": "2020-10-09T08:45:27.372326Z" + "end_time": "2020-10-11T03:33:37.905921Z", + "start_time": "2020-10-11T03:33:37.897612Z" } }, "outputs": [], "source": [ - "edge_indices = [0]\n", + "edge_indices = [2]\n", "ds = [3, 4]\n", "p = 3" ] @@ -558,8 +657,8 @@ "execution_count": 15, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T08:45:28.197914Z", - "start_time": "2020-10-09T08:45:28.186045Z" + "end_time": "2020-10-11T03:33:45.437646Z", + "start_time": "2020-10-11T03:33:45.430812Z" } }, "outputs": [], @@ -592,15 +691,15 @@ "execution_count": 16, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T08:45:29.511282Z", - "start_time": "2020-10-09T08:45:29.108369Z" + "end_time": "2020-10-11T03:33:47.801203Z", + "start_time": "2020-10-11T03:33:47.289919Z" }, "scrolled": false }, "outputs": [ { "data": { - "image/png": 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\n", 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ERERyqXXr1tGhQwcuXLhAoUKF+O6772jbtq2zw8pV8vXyaxERkdzIbrfTsWNHWrVqxYULF+jYsSOJiYlKYtKRZT0ymZk0LFlPz11EJG9Zs2YNnTt35uLFixQuXJiVK1detZOuXO22e2Qu73h7/vz52w5Gbt7l5/7vnYdFRMS12O122rZtS7t27bh48SJhYWGcP39eScwN3HaPjNVqxcfHx3HuUJEiRW64LbHcPmMM58+fJyYmBh8fH036EhFxYd999x333nsvycnJFClShJ9++okmTZo4OyyXkCVDS+XKlQO45hBFyX4+Pj6O5y8iIq7FbrfTunVrx+GK9913H19++aWTo3ItWZLIWCwWypcvT5kyZbh06VJWVCmZUKBAAfXEiIi4qG+++YYePXpw6dIlvLy8iIiIoEGDBs4Oy+Vk6fJrq9Wqf1hFRESuw26306JFCzZv3gxA7969WbhwoZOjcl3aR0ZERCSHLF68mD59+pCSkoK3tzcbNmzIsaMN8irtIyMiIpLNkpOTadCgAT179iQlJYWHHnqI+Ph4JTFZQImMiIhINpo/fz6enp7s3LmT4sWLs2/fPj755BNnh5VnKJERERHJBsnJyQQGBtKvXz9SUlJ45JFHiI2NpXbt2s4OLU/RHBkREZEsNmfOHAYNGoTdbqdkyZJs2bKFO++809lh5UnqkREREckiSUlJ1KlTh4ceegi73c6TTz7JP//8oyQmG6lHRkREJAt8+OGHPP7446SmplKmTBm2bdtG5cqVnR1WnqdERkRE5DYkJCQQEhLCoUOHKF68OI8//jjjx493dlj5hhIZERGR2+Dl5eXY3E5ynubIiIiIiMtSIiMiIiIuS4mMiIiIuCwlMiIiIuKylMiIiIjcgjlz5tCtWzdnh5HvKZEREZF8KyUlxdkhyG1SIiMiInnSsmXLqF27NoGBgYwaNYpSpUoRHR1N1apVGTVqFI0aNWLAgAH8+eeftGnThgYNGlC3bl3HpnaQ1uvStm1bwsLCqFOnDi1btiQ6OtrRRkJCAr1798bf35+goCCOHDnipLvNv5TIiIhInhMTE8PAgQNZsmQJv/zyC3fddRenT592XD99+jRbtmxhwYIF+Pj48O2337Jjxw52795NdHQ0X3zxhaPshg0bmDhxIvv27aNr164MGTLEcW3btm28/vrr7Nmzh5CQECZOnJij9ylKZEREJA/avHkzAQEB3HXXXQAMGDCAggULOq6Hh4djsVgASE1NZdSoUQQGBlKvXj22b99OZGSko2yzZs0cJ1YPGTKEiIgI7HY7AE2bNqVatWqO7w8fPpwTtydX0M6+IiKS73h5eTm+f+edd4iJiWHLli14eHjwzDPPcOHChUzV4+Hh4fjearVqzo0TqEdGRETynCZNmrB7924OHjwIwPz580lOTk63bFxcHOXKlcPDw4M///yTxYsXX3V906ZNHDhwAIBZs2bRpk0brFZr9t6AZJp6ZEREJM8pU6YMs2bNolu3bhQqVIj27dvj5eWFj4/PNWWfeuopevToQd26dalQoQIhISFXXW/WrBmjRo3i0KFDlCxZkrlz5+bQXUhmWIwxNy5ksXgD8fHx8Xh7e2d/VCIiIrfp3LlzFC1aFIClS5fywgsvsH///puqY86cOSxdupSlS5dmQ4RyPWfPnqVYsWIAxYwxZzMqpx4ZERHJk95//30+//xz7HY73t7eLFiwwNkhSTZQj4yIiIjkOpntkdFkXxEREXFZGloSEZE8xxhz1VJoq9WKm5v+754X6XdVRETylF69euHm5kbBggVp06YNbm5uSmLyMPXIiIhInrB161batm1LYmIiBQsWZMmSJXTu3NnZYUk2U4oqIiIur1u3bjRu3JjExETatGnD+fPnlcTkE+qRERERl7Vhwwbat29PUlIShQoV4ttvv6V9+/bODktykHpkRETE5djtdrp06UKLFi1ISkoiNDSUxMREJTH5kHpkRETEpURERNCpUycuXLiAh4cH33//Pa1bt3Z2WOIk6pERERGXYLfbCQkJoU2bNly4cIEuXbqQlJSkJCafU4+MiIjkeqtWreLuu+/m4sWLFClShB9//JHmzZs7OyzJBdQjIyIiuZbdbqdVq1aEhoZy8eJFunfvTmJiopIYcVCPjIiI5ErLly/nvvvuIzk5GU9PT/7zn//QoEEDZ4cluYx6ZEREJFex2+00a9aMu+++m+TkZHr16kVCQoKSGEmXemRERCTX+Oqrr3jggQdISUnB29ub9evXExAQ4OywJBdTj4yIiDhdcnIyDRs2pEePHqSkpNC/f3/i4+OVxMgNKZEREZFs169fPypVqoTdbr/m2sKFC/H09GT79u0UK1aMPXv28OmnnzohSnFFSmRERCRb7d27l/nz53PixAk6duzoeD85ORmbzcaDDz5ISkoKgwYN4syZM/j5+TkxWnE1FmPMjQtZLN5AfHx8PN7e3tkflYiI5Blly5YlJibG8Xrt2rVER0czaNAg7HY7JUqUYNOmTdSsWdOJUUpuc/bsWYoVKwZQzBhzNqNymuwrIiLZ5uOPP74qiQFo06aN4/tHH32UDz74IKfDkjxEPTIiIpJtChYsyKVLl655v0CBAhw8eJBq1ao5ISpxBZntkdEcGRERyRbh4eHpJjEAly5d4tSpUzkckeRF6pEREZEsFx8fj4+Pz3XLFC5cmPPnz+dMQOJy1CMjIiI5JB7YAfyvhyUzZyElJSXx+OOPZ19Yki8okRERkVuUAowAygJBQEUgjMjI1fz666/X/aSbmxtFixalVatW2R+m5GlatSQiIjclJSUFd3d3YDQwBbg8RcEA31G9+mEAChUqRMWKFalSpQr+/v60atWKv/76i5UrV7J06VKnxC55j3pkRETEYdmyZdSuXZvAwEBGjRpFqVKliI6OpmrVqowaNYpGjRoxYMAA/vzzMG3avE2DBoa6deHxxyE1FcDO11/vo02b+oSGhjpWLQ0fPpx7770XDw8PEhIS6N27N/7+/gQFBXHkyBFn37a4MCUyIiICQExMDAMHDmTJkiX88ssv3HXXXZw+fdpx/fTp02zZsoUFCxbg43OGb79NZccO2L0boqPhiy/+V9eGDbuZOHEi+/bto2vXrgwZMsRxbdu2bbz++uvs2bOHkJAQJk6cmIN3KXmNEhkREQFg8+bNBAQEcNdddwEwYMAAChYs6LgeHh6OxWIBIDW1DM89B4GBUK8ebN8OkZH/q6tZszrUrl0bgCFDhhAREeE4Z6lp06aO/WOaNm3K4cOH//fBZGAF8ClwMLvuVPISJTIiIvnM/fffz6ZNmwAYP348c+bMydTnvLy8gLQzkmrVasayZbBhQ1qPTJ8+cOECgBUoCRTPsB4PDw/H91arlZSUlLQXm4BK0LlrZw6GH4S7gN6kJTf/1aNHj0zFW7Vq1UzdU+vWrYmOjr5hufDwcCIiIgCYNm0ar7/+eqbql+ynREZEJB/ZunUrsbGxNG3a9JprTZo0Yffu3Rw8mNYVMn/+fJKTk68qs3PnToKCgjhx4gRubuUoUqQdf/4JixdfLlEFeIZNmzZz4MABAGbNmkWbNm2wWq0ZB3YW6Aj8A9/xHbWolfb+F8C427njrDdkyBA+/vhj4uPjnR2KoFVLIiL5yowZM+jTp4/jtZeXF4ULFwagePHitGrVCpvNBkDlypXx9PTEx8eHlJQUunbtysmTJ/Hy8qJly5YcOnQIf/8/KFMmCHf3aObOvcCOHeWxWn+kePHijBo1ikOHDpGUlETRokWpX78+ly5donz58tcG9jlwDjBQlaosZSk2bBxIPcDAtwYS/008vr6+jg30UlNT6dy5MyEhIYwcOZLDhw/TqlUrfvrpJ2rVqkXp0qUz9TxKlCjhSLBat26Nv78/mzdvJi4ujnvuuYfJkydjsVgoVqyYY5itYMGChIaGsnDhQh599NFb+42QrGOMueEX4A2Y+Ph4IyIirqt69epmz5496V577bXXzIsvvuh43bt3b+Pj42N27NhhvL29jcViMePHjzdHjx41pUqVMuPGjTPGGDNy5EgzYMAAk5qaas6ePWvuuOMOU6lSJWOMMQsWLDCDBg0yKSkpxhhj5s6dazp37nxt42OMSXVPNQZjqlDF7GKXMRgTRJCZxSxj4ozZvXu3KViwoJk9e7Yxxpi///7bVK1a1axdu9bUr1/fLFy48LaeTatWrUzbtm1NcnKySUxMNA0aNDALFixIt+ynn35q7rvvvttqT64vPj7ekLam39tcJ0dRj4yISD5y4sQJypYtm+61pUuXcvToUd5++20ALBYLJUuWpFGjRgCsWLGCTp06ARAWFub43E8//cSUKVOwWCwULVqURo0asX37dked27Zto0GDBgCOCb9XSkhIYObqmTyd8vRV75/lLJFEEl4uHLzB39+fFi1aOK6XKlWK+fPn06ZNG8LDw+ndu/ctPpX/6d+/PwUKFKBAgQL07duX1atXX9WDdVm5cuU4ceLEbbcnt09zZERE8pEiRYpwIW1W7jWMMSxYsICkpCQ2bNhAjRo1+PPPPxk7dize3t7UqVPHUfby6qX0NGjQgLZt2zrqfOGFF4iMjCQyMpI9e/awZ88eAC5cuMDAgQPx8fHh+c3Pc9z9OKluqddW+DyOf63+3e6uXbsoWbIkJ0+evDyCkKUyus8LFy44huTEuZTIiIjkIwEBAY7JvP/WrVs33n77bZ5//nkaNWqExWJh0aJFjBs3jpCQED755BMA/vjjD7755hvH59q2bcunn36KMYaEhAS+uGJDmW7dujF9+nRiY2OBtFOvt23bxlNPPUWxYsWYPXs25cqVY/GyxVQ6VAm3Fv/7Z8nby5t6Fesxt+hcAH799Vd+/vlnx/WdO3cyefJkdu3aBcCkSZPSva8XXniBadOmZer5zJ8/n0uXLpGUlMTChQsJCQlJt9z+/fsJDAzMVJ2SvTS0JCKSj/To0YMffvgh3X+gQ0JCeO+99/jxxx8pU6YMqampjt6bd999l/DwcOrUqcMdd9zh6HEBeOmll3j44YepXbs2pUqVIjAw0HHy9YMPPsjp06dp06YNAKdOneLMmTOkpKRQunRppkyZwoMPPvi/IP5D2pFNbwH3wNxjc3nooYd4+5238fX1pWXLlkDaycgPPPAAn3zyCeXKlWPu3Lk0atSIFi1aXHNg5S+//OIY2rqR2rVr07x5c2JjY7nnnnt44IEH0i23cuVKJkyYkKk6JZtdbwKN0WRfEZE85dy5c8bf398kJCQ43rtw4YIZM2aMsVqtxmazmcjIyJuqMzk52SQlJRljjElISDDNmzc3ixYtcly32+1m4sSJxtPT0wDGx8fHfPDBB1lzQzeQkpJigoKCjN1uv2HZVq1amSVLltyw3K+//mpatGiRBdHJ9Wiyr4iIXMPLy4spU6Zw9OhR/Pz82LFjB+Hh4Rw4cICXXnqJF154gQIFCtxUnXFxcXTq1Am73c6FCxe455576NmzJwAffvghL7zwAvHx8Xh6ejJx4kRGjhyJm1vOzGywWq1s27YtS+s8fvw4M2bMyNI65dZZTCYmR1ksFm8gPj4+Hm9v7+yPSkREstXFixd59dVXeeONN/D392fOnDlZOudjwYIFPP300/z99994eHjwzDPPMGHCBEcC88orr/D1119f87mvvvqKO++8M8viENd19uxZihUrBlDMGHM2o3JKZERE8pkre2HGjh17S70wGfnmm28YNmwYJ0+epECBAjz66KO8/fbbuLtrAEBuTmYTGa1aEhHJJy5evMjYsWNp3Lgx7u7ubN++nZdeeilLkpg1a9Zw5513cs899/Dnn3/y0EMPcfbsWd59910lMZKt9KdLRCQfyIq5MOnZtm0b/fv358CBA7i5udGrVy9mzZrlOGBSJLupR0ZEJA/Lrl6YX3/9lfr169OoUSMOHjxIly5d+Ouvv1i0aJGSGMlR6pEREcmjsqMX5ujRo/Tt25eNGzcC0KZNG+bOnUvFihWzImSRm6YeGRGRPObixYuMGTMmS3thTp06RUhICNWrV2fjxo00adKEQ4cOsWbNGiUx4lTqkRERyUMu98IcPHiQcePG8fzzz99WAhMbG8tDDz3Et99+izGGwMBA5s6dS0BAQBZGLXLr1CMjIpIHXNkLU6BAAbZv387YsWNvOYlJSEigd+/elC5dmm+++YZatWqxceNGIiMjlcRIrqIeGRERF5eVvTDJyck89thjzJkzh5SUFKpWrcqsWbNo165dFkctkjXUIyMi4qKyshcmJSWFp59+mqJFizJr1izKlCnD119/zdGjR5XESK6mREZExAXt2LGDoKAgJk2axLhx49iyZcstDfmkpqby0ksv4e3tzdSpU/H29mbevHmcPHmSe++9NxsiF8laSmRERFxIVvbCvP322xQrVowJEyZQsGBB/u///o+///6bvn37ZkPkItlDc2RERFzEn3/+ycqVKylRogTr16+nUaNGWK3Wm67no48+4vnnnycuLg5PT0/eeOMNnnvuuRw7kVokK+nQSBGRXM4Yg91uJzU1FYvFgtVqvaWk4/PPP+fJJ58kJiYGDw8Pnn76aV599VUlMJIrZfbQSPXIiIjkchaL5bYOXoyIiGDMmDEcOHCAs2fP8sQTT/DOO+/oMEfJE9QjIyKSj6SmpqoHRlxCZntk9KdZRCQfURIjeY3+RIuIZLHM9HSLSNZQIiMiksUsFouzQxDJN5TIiIjchk2bNtGiRQsCAwMJCAjg2LFjpKSkODsskXxDiYyIyC2KjY2lW7duvPHGG/zyyy9ERkZStmzZTH++c+fOHDx4MMviOXXqFMHBwY7X48eP58KFC1lWv0hupFVLIiK3aMWKFUycOJF169Zd9X5KSsptLW2+3c9fZrFYiIuLw8fH57brEslpWrUkIpKL/HsIatmyZVStWpXIyEgAWrduzZNPPknTpk0JDQ0FYOLEifj7+xMYGEiTJk04f/48ERER2Gw2R7179+6latWqAERHRzuSlqFDhwIQHByMzWYjJiYmp25VJEdpNyQRkVvUrFkzoqKiWL9+PcHBwaSmpnLp0qVrjg24PAT15ZdfOsqdOXPmmvp+++031q1bR4ECBfj000/56quv+PnnnylWrBhxcXEUKlQo07FNnz6dGTNmsH79evXISJ6mREZE5BYVL16cJUuWMGLECM6dO4ebmxvffvst5cuXv6rcpk2bqFWrlmP+ipubGyVKlLimvr59+zoOf1y+fDlDhw693LVO8eLFs/luRFyTEhkRkdvQpEkTNmzYkCV1eXl53bCMu7s7drvd8VqTeSW/0xwZEZFsduUQFKQdExAbG3vdz4SFhTF9+nTi4+MBOHPmDHa7nerVq/P777/z999/AzBv3rwM6yhatKjj8yJ5lXpkRESyWXpDUBMmTLjuZ/r168epU6do1qwZ7u7ueHp6snr1aipUqMBzzz1Ho0aNKFu2LJ06dcqwjhEjRtC+fXuKFCnCjz/+SJkyZbL61kScTsuvRUREJNfJ7PJr9ciIiNwmYwypqanY7XasVitubm46pkAkhyiRERG5DadOnWLZsmXExsbSsmVLmjdvriRGJAdpsq+IyC24ePEiL774IpUrV2bWrFncfffdBAcH4+amH6siOUk9MiIiN2n79u2Eh4fz22+/MX78eEaNGuXY/+Wy+Ph4zp49i5eXFxaLBXd3d4oUKaJERySL6W+UiEgmXe6FadKkCYUKFWLHjh2MGTPmqiQmJiaGDh06ULx4cSpXrkyHDh3466+/8PLyUhIjkg3UIyMikglX9sK8/PLLPPfcc1clMGfOnGHgwIEsXboUYwz+/v7MnTv3qnORRCTr6b8HIiLXkV4vzIsvvuhIYs6fP0///v0pVaoUS5YsoUaNGvz888/s3r1bSYxIDlCPjIhIBq7XC5OcnMxTTz3FrFmzSElJoXLlynz00Ud06NDByVGL5C/qkRER+Zfr9cKkpqby3HPP4e3tzfTp0ylVqhSLFy/m999/VxIj4gTqkRERuUJGvTCpqam8+uqrvPnmmyQlJVGiRAk+/PBDHnroIWeHLJKvqUdGRIS0XpjRo0en2wvz7rvvUrx4ccaNG4e7uztTp07l9OnTSmJEcgH1yIhIvrdt2zbCw8OJioq6qhdm9uzZjBw5ktjYWIoUKcKECRMYPXq0llGL5CL62ygi+dblXpimTZvi4eHh6IVZtmwZ5cuXZ+DAgSQmJvLss89y7tw5xowZoyRGJJfR30gRyZe2bdtG/fr1mTx5Mi+//DKbN2/m1KlTVKlShfvvv59//vmHoUOHcvbsWSZNmqQERiSX0tCSiOQrFy9e5OWXX2bSpEnYbDZ27txJfHw8devWJSoqCqvVSr9+/Zg+fTpFihRxdrgicgP6L4aI5Clr1qzhzjvvZP/+/ddc+3cvzIcffkifPn1o0aIFhw4d4t577+Wff/5h7ty5SmJEXIQSGRHJM1JSUhg6dChHjhyhTp06zJkzB7h6LkzhwoVZsmQJy5Yto1GjRuzdu5cOHTrw559/8vXXX+Pj4+PUexCRm6OhJRHJM6ZPn05UVJTj9bBhw6hbt65jRdLTTz/N5s2b6dq1KwDBwcHMmzePKlWqOCtkEblNFmPMjQtZLN5AfHx8PN7e3tkflYjITYqNjaVq1aqcO3fummv+/v54e3uzceNGjDEEBQUxd+5cateu7YRIRSQzzp49S7FixQCKGWPOZlROPTIikieMHz8+3SQGYO/evRhj8PPz49NPP6V+/fo5HJ2IZBclMiLi8vbv38/777+f4XUPDw9+/PFHWrRokYNRiUhO0GRfEXF5TzzxxHWvJyUlUbJkyRyKRkRykhIZEckVOnfuzMGDB29Q6ijwETAH+AeAb7/9lp9++umG9bdq1YoLFy7cZpQikttosq+I5GopKSm4u1uBZ4F3gMs/swoAH1Cw4DAuXbqUqbri4uK0vFrERWR2sq96ZEQkx23atIkWLVoQGBhIQEAAy5Yto2rVqkRGRgLQunVrnnzySZo2bUpoaCgwl4kT38bf3xAYCE2awPnzl4iIGEzBgnZHvRaLBQCr1YrVagWgUKFCju+Dg4Ox2WzExMTk6P2KSPbRZF8RyVGxsbF069aNL7/8kuDgYFJTUzlz5sw15X777TfWrVtHgQIFmDOnOl99BT//DMWKQVwcFCoE4EaNGsWJjEwbZtq7dy9du3YlOjqa6OhobDabo26LxcL69evVIyOSxyiREZEctWnTJmrVqkVwcDCQlmBYrVYuXbrEhg0b2LZtG9HR0VSpUoXOnTtz4sQJatQ4ytChaUkMQPHil2tLBTI3rCQieZMSGRHJVmfPnuX48eOcOHGC48ePs2bNGn777TdCQ0Md7yUkJADw+OOPY7FYKFCgAAULFiQgIIC6dety8OBJUlMT+N/8mDTu7m7Y7YUcrzWZVyT/USIjIrfs3LlzVyUp//71+PHjV21SZ7FYKFOmDLGxsVy8eJH27dtzxx13UKJECcaOHcvHH39M+/btad++PcOHD6dbt24AzJvnxfvvv8Z996X1xpw5A0WLulG9ehF+/z2Jv//+m9KlSzNv3rwMYy1atCjx8fEaWhLJY5TIiEi6EhISbpiknD179UKCcuXKUbFiRSpVqkS7du2oVKmS43XFihWpUKECBQsWZPPmzYwYMYK1a9fi5ubGhAkTKFSoEBUqVKBAgQLXxNKv36vMn/8pjRufoHBh8PSE1asDqFDhY5577jsaNWpE2bJl6dSpU4b3M2LECNq3b0+RIkX48ccfKVOmTJY/MxHJeVp+LZIPJSYm3jBJiY+Pv+ozZcqUoVKlStckJ5d/veOOOyhYsGC2xPvTTz8REhLCokUL6dWrIVAQqJwtbYlI7pDZ5ddKZETymPPnz98wSfn3KqHSpUvfMEkpVKhQ+g1ms5SUFOrVq0exYsVYv369Y4m1iORtOjRSJB8KCwvj22+/veq9UqVKOZKU4ODgdJMUDw8PJ0V8YzNnzmTv3r1s27ZNSYyIXEM9MpLnbd++nbfeeovPP//c2aFcJTk5me7du/P777/TsmVL/P39OXfuHM8++yxz5sxh6dKlLF269KbqXLBgAampqY4kpWLFirk6SbmRuLg4fH19ufvuu5k9e7azwxGRHKQeGZH/CgoKckoSk7a1fsZ/xXbt2kVUVFQmzhfKvAcffDDL6soNXnnlFS5evMjrr7/u7FBEJJfSEQWSpyQlJdGrVy/q1KlDYGAgoaGhREREYLPZAIiOjsbHx4exY8dSv359fH192bBhA08//TQ2mw0/Pz/27t173TbCw8MZOHAgzZo1o2bNmgwYMICkpKSrrrVs2RI/Pz8A3nrrLerWrYu/vz8PPvgg8fHx7Nu3jwcffJBjx45hs9mYO3cu48ePZ/jw4em2OW/ePBo3bkz9+vVp2bIlv/zyS5Y9s9zqwIEDTJs2jdGjR1O+fHlnhyMiuZQSGclTVq5cyZkzZ9i3bx+//PILixYtuqZMfHw8DRo0YOfOnTz//PN06NCBsLAwIiMjGTBgAC+//PIN29myZQs//PAD+/fvJzY2lilTpjiu7dixgxUrVnDgwAG+//57PvnkEzZs2MCePXvw9PTk+eefp06dOsyaNYtatWoRGRlJ//79M2xrw4YNfPbZZ6xbt46dO3fy2muv0adPn1t7QC5kxIgRVKpUiaefftrZoYhILqZERvKUwMBA9u/fz7Bhw/j888/T3ZPEw8PDsdFaUFAQXl5etGnTBoBGjRoRFRV1w3Z69uxJ0aJFsVqtPPzww6xevdpx7f7776do0aIArF69ml69ejk2YXv00UdZtWrVTd3TsmXL+OWXX2jcuDE2m40nnniC2NhYRy9QXrRy5Uq+++473nrrLZee4yMi2U+JjOQp1atXZ9++fXTs2JENGzbg5+dHXFzcVWWuXEZstVqv+ofSarWSkpJy0+1euZrGy8srU+UyyxjDgAEDiIyMdHz98ccfFC5c+KbrcgWXLl3i6aefplWrVnTv3t3Z4YhILqdERlzOpUuX+P333zly5Aj/XnV34sQJLBYLYWFhTJ48GWMMx48fz/IYvvzySxISErDb7cyePZuQkJB0y4WEhPDFF184dsCdMWMGoaGhN9VWWFgY8+fP59ixYwCkpqayffv227uBXGz69OkcPHiQqVOnarm1iNyQVi0J8fHx7N27l+bNmzs7FFJSUjh16lSGm7mdOHGCP/74A2MMjz/+OFOnTsVqtTo+v2fPHl544QWMMaSkpNCvXz8CAgKyPM6GDRvSoUMH/v77b5o2bZrhJN1OnTqxd+9emjZtipubGwEBAXzwwQc31VZwcDCTJk3i3nvvJSUlheTkZLp06UJQUFAW3Enucvr0acaNG8egQYMcE7RFRK5H+8jkc9988w2DBw/m77//5q+//qJ06dLZ1lZKSgp//PHHDZOU1NRUx2c8PT0z3HE2MDCQcuXK5fj/2sPDw7HZbBkmL3LrnnjiCebOnUtUVJTOQhLJ57SPjFxXTEwMjz/+OIsXL8ZisWCM4dixY7ecyNjt9hsmKadOnboqSSlSpIgjSalduzahoaHXJCzFihXT8EI+8euvv/Lhhx/y5ptvKokRkUxTj4wTZN9Os8eAN4BvSDtUrzfwHODjKGGMYf78+TzxxBOOOR6XffHFF3z66afX7DT7zDPP8N5777F06VKeeOKJDJOUK+sqXLiwI0nJ6PweHx+fXJukfPfdd4wePfqa91944QV69erlhIjyNmMMHTt25MiRI/z666/ZdvikiLgOHRqZ7xwHGgCxwOWEwgrUBjYDnhw+fNix/PdyL8xlFouFrl27snnzZvr3739NknLlSp7LSUp6ycnlX4sXL55rkxTJfZYvX87dd9/NsmXLCAsLc3Y4IpILKJHJJZKSkggPD2fPnj0UKFCAsmXLMnr0aIYPH05kZCTR0dGOvUFWrFjBuXPnmDNnDl9++SVr164lJSWFRYsWOXaJTU94eDhubls5cGA///wDTZvC9OlQuDCEh4ObWxN+/PE4J0+evCaBSU/BggW58847KVCgAIUKFWLgwIEcOHCAX375hS+//JISJUowf/58pk2bxqVLl/Dy8uL9998nMDAwi5+e5AfJycn4+flRpUoVfvzxRyXAIgJkPpHR8utslnM7zR7ihx9g/36IjYUrNppl+/ZfOXnyJECGSYybmxvBwcEEBgZy8eJF9u3bx7333kuzZs0YOnQoNpuNYsWKUbJkSTZu3Jgvd5qV7DFt2jQOHz7MO++8oyRGRG6aEplslnM7zRajaFGwWuHhh+F/G81a6NmzMuvWrWPYsGF4enoCaYnLlVJTU9m8eXOmNoPLjzvNSvb4+++/eeWVV3jkkUfw9/d3djgi4oKUyGSznNtp1h9j/vfb+b//2BoOHy5Ay5Yt+eCDD0hMTEx7N52emUuXLl2T4KQnv+00K9ln7NixWCwWXnnlFWeHIiIuSolMNsupnWYXL/6TbdsKYbfD7NkQEnI5k6lK9er3UrZs2avKp5fIuLu7ZyqRyW87zUr22L17NzNnzmTcuHGUKlXK2eGIiItSIpPN9uzZQ/PmzQkMDKRevXrZttOsm5s7TZsmUaNGCXx8qjB8eE9gCdCSokW92blzJxUqVLhuovLiiy9mqq0rd5oNDAykbt266c79EcmIMYbhw4fj6+vLY4895uxwRMSFadVSHtChQwd+/PFH3nzzTUaNGpVhuQMHDtCkSRPOnTt31cZ0kNYbM2bMGB5++GEqVqyY3SFLPrdkyRK6d+/OihUr6Ny5s7PDEZFcSMuv84nTp0879m45cODADYeGNm3aRJs2bUhOTnYML1ksFho3bsyePXtISkqiU6dODB48mC5duuDurs2fJWtdvHiROnXqULNmTb7//ntnhyMiuZSOKMhjMtpptkCBAhQuXJi1a9dman5L06ZN+eKLLxyrpC7X8d133+Hu7s5nn33GzJkz6datG+XLl+ehhx7i4Ycfpnr16ll5O5KPvfvuu/z+++8sX77c2aGISB6gHhkXNmPGDIYOHcrXX3/Nvffee1OfnTlzJkOGDMFisdCnTx/mz59/1fXIyEhmzpzJ/PnzOXv2LCEhIQwePJhu3bpp+3i5ZX/99Re+vr489NBDvPvuu84OR0RyMQ0t5XH79++nQYMG9O/fn+nTp99SHS+//DLjx4/n559/pnnz5umWOX/+PIsXL2bmzJls2LCBUqVKMWDAAAYPHkytWrVu5xYkH9q5cyenTp2iffv2V207ICLyb0pk8rCLFy/SuHFjLl68yI4dOyhSpMgt1WOM4dSpU9xxxx2ZKr9v3z5mzZrF3LlzOX36NMHBwQwePJgePXpoDxm5oX+f7SUicj06oiAPe+GFF9i/fz+fffbZLScxkPaPSWaTGIA6derwzjvvcPLkST777DPc3d3p378/FSpU4IknnmD37t23HIvkfRaLxfElIpJVlMi4mJUrVzJlyhQmTpyIzWZzSgyFChXigQceYM2aNURFRfHII4+wePFiAgMDadKkCR9//DEJCQlOiU1ERPIXDS25kL/++ouAgADq16/PihUrMrVKKadcunSJb7/9lpkzZ/LDDz/g6elJnz59GDx4MA0aNND/wkVE5KZoaCmPMcbw0EMPATBnzpxclcRA2hLu7t278/3333P06FGeeeYZvvvuOxo2bEj9+vX54IMPiI+Pd3aYks3Gjx/PhQsXnB2GiOQj6pFxEe+99x5PPfWUS+2EarfbWblyJTNnzmT58uUULFiQnj17MnjwYJo1a6ZemjzIYrEQFxeHj4+Ps0MRERenVUt5yO7du2nYsCFDhw512b03Tp06xZw5c5g1axZHjx6lTp06DBo0iP79+1OyZElnhydZYOjQocyYMQM/Pz+sVisVKlSgUqVKHDp0iOPHj+Pn58eiRYu0D5GIZIoSmTwiKSmJoKAgrFYrW7duxcPDw9kh3ZbU1FR++uknZs6cydKlS7FYLHTv3p3BgwfTunXrXDdkJjfnyh6Z8PBw9u/fz9q1aylUqBAtW7bk8ccfp3fv3s4OU0RcgObI5BEjR47kyJEjfPbZZy6fxAC4ubnRvn17vvjiC06ePMlrr73Gzp07adeuHTVr1mTixIn89ddfzg5Tssi9995LkSJFsFqtNGrUiMOHDzs7JBHJY3TWUi72zTff8MEHH/DBBx9Qt25dZ4eT5UqXLs3IkSMZMWIEycnJJCYmkpSUREpKCqdPn8bT05NChQppLo0LuzL5tlqtpKSkODEaEcmLlMjkUqdOnWLgwIGEhYUxdOhQZ4eTrSwWC4UKFdKW9XlA0aJFiY+P12RfEckxSmRyodTUVPr370/BggX5+OOP1SMhLmPEiBG0b9+eIkWKUKFCBWeHIyL5gCb75kJvvfUWo0aNYtWqVbRr187Z4YiIiOQ4TfZ1Udu3b2f06NE8++yzSmJERERuQD0yuUhCQgL169fH29ubjRs3ar8NERHJt9Qj44KeeuopTp06xcKFC/NlErN9+3Z69erl7DCukZycTNeuXfH39+exxx5j+vTpvPXWW0DacRHdunVzboAiIvmYJvvmEosXL+aTTz7h448/pmbNms4OxymCgoL4/PPPc7zdlJQU3N0z/quwa9cuoqKiOHjwYA5GJSIimaEemVzg2LFjDBkyhPvvv99xMGRel5SURK9evahTpw6BgYGEhoYSERGBzWYDIDo6Gh8fH8aOHUv9+vXx9fVlw4YNPP3009hsNvz8/Ni7d+912wgPD2fgwIE0a9aMmjVrMmDAAJKSkq661rJlS/z8/IC0SdZ169bF39+fBx98kPj4ePbt28eDDz7IsWPHsNlszJ07l/HjxzN8+PB025w3bx6NGzemfv36tGzZkl9++SXLnllulZSUxFNPPcX//d//OTsUEcmHlMg4md1up2/fvhQtWpQZM2bkm6XWK1eu5MyZM+zbt49ffvmFRYsWXVMmPj6eBg0asHPnTp5//nk6dOhAWFgYkZGRDBgwgJdffvmG7WzZsoUffviB/fv3Exsby5QpUxzXduzYwYoVKzhw4ADff/89n3zyCRs2bGDPnj14enry/PPPU6dOHWbNmkWtWrWIjIykf//+Gba1YcMGPvvsM9atW8fOnTt57bXX6NOnz609IBfy2muvMWPGDLp06eLsUEQkH1Ii42RvvPEGGzZsYMGCBRQvXtzZ4eSYwMBA9u/fz7Bhw/j8888pUKDANWU8PDwc80+CgoLw8vKiTZs2ADRq1IioqKgbttOzZ0+KFi2K1Wrl4YcfZvXq1Y5r999/P0WLFgVg9erV9OrVy7GR26OPPsqqVatu6p6WLVvGL7/8QuPGjbHZbDzxxBPExsY6eoHyoujoaCZPnszIkSOpWrWqs8MRkXxIiYwTbdq0ifHjx/Piiy8SHBzs7HByVPXq1dm3bx8dO3Zkw4YN+Pn5ERcXd1WZK3f6tVqtWbLd/ZU9Xl5eXpkql1nGGAYMGEBkZKTj648//qBw4cI3XZereO655yhRogTPP/+8s0MRkXxKiYyTxMfH06dPHxo1asRLL73k7HBy3IkTJ7BYLISFhTF58mSMMRw/fjzL2/nyyy9JSEjAbrcze/ZsQkJC0i0XEhLCF198wdmzaSv8ZsyYQWho6E21FRYWxvz58zl27BiQtkPz9u3bb+8GcrF169axePFi3nzzzesmhSIi2Umrlpzkscce4/Tp06xZs+a6K2byqj179vDCCy9gjCElJYV+/foREBCQ5e00bNiQDh068Pfff9O0adMMJ+l26tSJvXv30rRpU9zc3AgICOCDDz64qbaCg4OZNGkS9957LykpKSQnJ9OlSxeCgoKy4E5yF7vdzvDhw2nUqBF9+/Z1djgiko9pQzwn+OGHH5gwYQLjxo2jffv2zg4nzwoPD8dms2WYvMit+/jjjxk0aBAbN26kadOmzg5HRPKgzG6Il/+6AnKBDh060KFDB2eHIXJLzp49y4svvkifPn2UxIiI0ymREZf23XffMXr06Gvef+GFF5gzZ07OB5QPvP7665w9e5Y333zT2aGIiGhoSUQy7/Dhw9SpU4fRo0czbtw4Z4cjInmYzloSkSz37LPPUrZsWZ599llnhyIiAiiREckSe/bsYdSoUdSoUYOyZcvSs2dPvvnmG5KTk50dWpZZu3YtS5YsYeLEiRQpUsTZ4YiIABpaEslSiYmJLF68mJkzZ7Jx40ZKly7NgAEDGDRoELVq1XJ2eLfMbrdTv359vLy8+Pnnn/PNURoi4jz5emgpOjqa6dOn53i7L730EgsWLMiy+saPH8+FCxeyrX7Jep6enoSHh7Nhwwb27t3Lgw8+yCeffMJdd91Fq1atmD9/vkseWTBr1ix2797N1KlTlcSISK6SJ3tkIiIiGD58OJGRkc4O5bZYLBbi4uIc5/+Ia7pw4QJff/01M2fOJCIiAh8fH/r168fgwYPx9/d3dng3dObMGXx9fencuTOffvqps8MRkXwi3/TIJCUl0atXL+rUqUNgYCChoaEMHTqUgwcPYrPZCAsLAyAqKoouXbrQsGFDAgICmDZtmqMOi8XCmDFjqFevHjVr1rxhr8fmzZtp0KABNpsNPz8/PvzwQyBtA7apU6cCab0pPXv25O6776ZmzZp07dqVvXv30qFDB2rWrEnv3r1JTU3NsI2hQ4cCabvF2mw2YmJibrn+c+fOMXjwYBo1akRAQABDhgzJU3M3cjsPDw/69OnD2rVr+e233xgyZAiff/45AQEBNGnShI8//piEhARnhwnAxo0beeqppzhx4oTjvQkTJpCUlMQbb7zhxMhERDJgjLnhF+ANmPj4eJPbfP311yY0NNTx+vTp02bt2rUmMDDQ8V5KSopp0KCB2b9/vzHGmMTEROPv72+2bt1qjDEGMGPGjDHGGHP48GFTvHhxc/To0QzbDAsLMwsXLnS8jo2NNcYYM2DAADNlyhRjjDHjxo0z1apVM7GxsSY1NdW0bNnSNG7c2Jw9e9ZcunTJBAYGmuXLl1/33gATFxfneH2r9Q8ePNh8+umnxhhjUlNTzcMPP2wmTZp03bYle128eNF8+eWXpkOHDsZisZiiRYuaIUOGmO3btzs1rqefftoAxsPDw7z88ssmMjLSuLu7m1dffdWpcYlI/hMfH28AA3ib6+QoLr8hXmBgIPv372fYsGG0atWKzp07X1Pm4MGD/PrrrzzwwAOO986dO8e+ffto2LAhAIMGDQLSTmVu2bIl69ato2rVqum22aZNGyZMmEBUVBRt27alRYsW6ZYLDQ2lePHiANSvX59ChQpRtGhRAOrVq0dUVNQt3/fN1L906VI2bdrEO++8A6T1Ylmt1ttqW25PwYIFue+++7jvvvuIjo7mk08+4ZNPPuGjjz6iXr16DB48mD59+lzuVs0x8fHxWK1WLly4wPjx43n99dfx8fHh6aefztE4REQyy+WHlqpXr86+ffvo2LEjGzZswM/Pj7i4uKvKGGMoUaIEkZGRjq+jR48yYMCADOu93oTG4cOHs2LFCsqXL8/o0aMZNmxYuuU8PDwc31ut1mtep6SkZPY2b6t+YwxfffWV494PHjzIjBkzbqttyTpVq1bllVdeITo6mm+//ZZKlSrxxBNPUKFCBR566CE2btx4uWc02509e9YxJGmM4eLFi/zzzz+0a9cuT5/kLSKuy+UTmRMnTmCxWAgLC2Py5MkYYyhZsiTx8fGOMrVq1cLb25vZs2c73jt06BCxsbGO15evRUdHs379eoKDgzNs8+DBg1SrVo3BgwczevRoNm/enA13BkWLFr3qPm5Vt27dmDhxoiOxiYuL49ChQ7ddr2Qtd3d3unbtyrJlyzh27BijR48mIiKC5s2b4+fnx9SpUzl9+nS2xhAXF5du0rRt2zYaNmzIo48+mmNJlYhIZrh8IrNnzx6aN29OYGAg9erVo1+/fjRr1oy6devi5+dHWFgY7u7uLF++nK+//pqAgADq1q3Lww8/fNUyWLvdTr169QgNDeW9997LcFgJYNq0adStW5d69eoxZswY3n777Wy5txEjRtC+fXvHZN9bNWXKFAoXLozNZiMgIIB27doRHR2ddYFKlqtQoQIvvvgihw8f5scff6Ru3bo899xz3HHHHY6Jw9mRUFyZ3F/JbrcDaZvi3W5PoohIVsqTy69vlpY5iyuIiYlh7ty5zJw5k99++40aNWowaNAgwsPDKVu2bJa0ceedd3LkyJGr3rNaraSmpvLkk0/y+uuva1dfEckR+Wb5tUh+UaZMGUaOHMmBAweIiIigcePGjBs3jooVK3LfffexcuVKR8/JrTp79uqfFW5ublSuXJn169czdepUJTEikuuoRyYDMTExhIaGXvN++/bteeutt7KsnaFDh6Y7x2bTpk0ULlw4y9qRvCk2Npb58+czc+ZM9u7dS5UqVXj44Yd56KGHqFix4k3X5+HhwcWLFx2T3YcPH86rr76qBEZEclxme2SUyIjkAcYYtmzZwsyZM1m0aBEXLlygc+fODB48mM6dO+PufuOdFlJSUihQoAAA1apVY/78+TRr1iy7QxcRSZeGlnLAxYsXWbduHZGRkVrJkcsdOnSIgQMHOuUMrpxgsVgcuwT/8ccffPDBB/zxxx/cc889VKlShTFjxnD06FFH+f+d43UO+BSYhMWylsKFPejevTu//vqrkhgRcQnqkblFqampdOrUid27d7N7925Kly7t7JDyCQOsB74GUoAuQAcyysmjo6N55ZVX+PTTT0lNTaVz586sWLEix6J1tl27djFz5kzmz59PQkICISEhDB48mJ49exIX9w0+Pg+SlsxYATvQBPge8HFi1CIiGlrKdlOmTOGZZ57hhx9+SHcujWQHAwwBZoFjU+oUoCtpiU0BR8kTJ07w6quv8vHHH2OMcUyC7dChAytXrszRqHODxMREvvjiC2bOnMmmTZsAqFvXgru7oUIFqFQJDh2C48fBz68yixZFUbBgQSdHLSL5WWYTGZc/osAZdu3axahRoxgxYoSSmGxisVh48cUXWbFiBYmJiYwbN44HHywMzGLbNhg1KoWzZ8Fuh9Gjl3P//TOAx3n//fd5+eWXM9w4Liv3QEk/xgeBtA3kRo0axdmzZ7Hb7YwePZr7778fgHnz5jkmjFeqVImPPvqIO+6445r6//jjD+x2O6mpqVf9eqvflyxZkueee47o6Giefvpp1q83FC8O4eEQGQlr10KhQtCy5TG++moBvXs/lGXPSkQkuyiRuUmJiYn06dMHPz8/XnvtNWeHk6dZLBZ27drFkSNHCAoKonnzRvj4uDFkSCrffQfly8M//0D9+tCs2UzCw5exevXq69a5Z88eevXqddPJwCuvvEJISMg1Z1RdG2NzfHx8GDJkCN999x3ly5fnn3/+oX79+jRr1oy4uDieffZZduzYwR133MFrr73GoEGD+P7776+JtWrVqtl6SvmVK7XvvRcuL0xq1AgOH96fbe2KiGQlJTI36ZlnnuH3339n586dFCpUyNnh5GnXHuQZRalSqRw5Ap06XV324MHTbN0afcM6L168SGxsLFarFTc3N6xWK+7u7o7vr3z/yu+LFy+e7vlb6R02WqpUKY4cOUKnfwV5+fDSjh07Onpghg0bxiuvvILdbr8mSVq6dCnAdeOyWq1YLBbOnj3LiRMnOH78OMeOHePYsWNER0fz+++/k5iYCKQlXZUrV6Z69eqsXbuWKxcyXXFMF1ZrEVJSrnhDRCQXUyJzE77++ms++ugjPvroI+666y5nh5PvWCx1MGY/desaNm783/spKZCQ0JoJExrxzTffcObMGXbs2IGbm5vjAMTL6tSpw6pVq7IxRgvGGOrWrcvGK4P8r19//fWa8hn5dyJ05swZoqKiiIqK4rfffnN8HxUVxZkzZxzlKlasiK+vLy1atGDgwIH4+vri6+tL9erVHcm3t7c38fE18PHZTdokXzAG0sJpihY0ioirUCKTSSdOnGDQoEF0797d8b9wyV6zZ89m/PjxjoM8p05dTbFiGzl69BSrV0NICBhjZfPmVB55ZAkPPWRj79697Nixg3379jFo0CCOHTuG1Wp1TPb9d2KT9TFOpVixYhw9epTVq1cTEhICQGRkJHXq1KFNmza89tprnDp1igoVKjB9+nTatWt3TW8MwJtvvsmBAwccics///zjuFa2bFl8fX3x9/ene/fujmSlRo0amdq8Lu0cr3kUKeJNhQpnAMPFiz54eLwGHM6ipyMikv20aikT7HY77du357fffmP37t2UKFHC2SHleRaLhTFjxrB8+fJ/TaQ9yc6djzJy5HecPp3KpUtFueOOuhQvXpHFixfTtm1bYmJisFgsVKpUiYEDB/J///d/rF27FoAGDRqwffv2bI4Rdu7cyciRIzl9+jSXLl2icuXKLF26FA8Pj0xP9i1fvjxVq1Z1JCk1a9Z0JCtZ+fcwNfUs1aqV4Pnnp/Loo49nWb0iIrdDy6+z0Jtvvsno0aNZs2YNrVu3dnY4+cLNHuRpjCEyMpJVq1ZRqlQp7r33XooXL+64fuLECTZu3EiJEiUcvSQ5HWNuVqlSJR566CFeeeUVZ4ciIgJo+XWW2bp1K2PHjuWFF15QEpOLWSwW6tWrR2BgoGOJdWpqKm5uaXM9KlasSM+ePZ0ZYq5Wrlw5/vzzT2eHISJy05TIXMe5c+fo06cP9evXZ/z48c4OJ1+51SMf3NzcsnQjN2MMcXFxnDhxgoCAgGuu5RXlypXjjz/+cHYYIiI3TUsTruOJJ57gr7/+YuHChY7D9CR/SU1NZc+ePTRs2JCffvrJsa9MXlO+fHn1yIiIS1KPTAY+++wzPv30U+bOncudd97p7HDESaxWKw0bNmTv3r1UrVrVMVSV12hoSURclRKZdERHRzN06FD69OlD3759nR2OOFmRIkXw9fV1dhjZ6nIic+W8IhERV6CfWP+SkpLCgw8+SIkSJfjggw+uu2GZq4mOjmb69Ok53u5LL73EggULsqy+8ePHc+HChWyrPz8qV64cKSkpxMbGOjsUEZGbouXX/zJ+/HheffVV1q1bR7NmzZwdTpaKiIhg+PDhREZGOjuU25KXlj3nFps2baJZs2bs2bMHPz8/Z4cjIpLp5dfqkbnChg0bmDBhAi+99JLLJzFJSUn06tWLOnXqEBgYSGhoKEOHDuXgwYPYbDbCwsIAiIqKokuXLjRs2JCAgACmTZvmqOPyhm/16tWjZs2aN+z12Lx5Mw0aNMBms+Hn58eHH34IQHh4OFOnTgXSEsWePXty9913U7NmTbp27crevXvp0KEDNWvWpHfv3tfdfXfo0KEABAcHY7PZiImJueX6z507x+DBg2nUqBEBAQEMGTIkWw9pzM3KlSsHoHkyIuJ6jDE3/AK8ARMfH2/yqri4OFOlShXTokULc+nSJWeHc9u+/vprExoa6nh9+vRps3btWhMYGOh4LyUlxTRo0MDs37/fGGNMYmKi8ff3N1u3bjXGGAOYMWPGGGOMOXz4sClevLg5evRohm2GhYWZhQsXOl7HxsYaY4wZMGCAmTJlijHGmHHjxplq1aqZ2NhYk5qaalq2bGkaN25szp49ay5dumQCAwPN8uXLr3tvgImLi3O8vtX6Bw8ebD799FNjjDGpqanm4YcfNpMmTbpu23nV+fPnDWDmzp3r7FBERIwxxsTHxxvAAN7mOjlKvpvsa/47lHbl3BdjDEOHDuXMmTP85z//wd3d9R9LYGAg+/fvZ9iwYbRq1YrOnTtfU+byacwPPPCA471z586xb98+GjZsCKR/unPVqlXTbbNNmzZMmDCBqKgo2rZtS4sWLdItFxoa6th1t379+hQqVIiiRYsCUK9ePaKiom75vm+m/qVLl7Jp0ybeeecdIK0XK70zj/KDwoULU6xYMfXIiIjLyXdDS4sXL8bHx4f58+c73ps7dy6ff/45H330EVWqVHFidFmnevXq7Nu3j44dO7Jhwwb8/PyIi4u7qowxhhIlShAZGen4Onr0KAMGDMiw3utNfh4+fDgrVqygfPnyjB49mmHDhqVbzsPDw/G91Wq95vXlnXlvVWbrN8bw1VdfOe794MGDzJgx47badmVagi0irijfJTLr1q3j7Nmz9OvXjz59+rBr1y4ee+wxHnrooTy1hf2JEyewWCyEhYUxefJkjDGULFmS+Ph4R5latWrh7e3N7NmzHe8dOnToqpUrl69dPt05ODg4wzYPHjxItWrVGDx4MKNHj2bz5s3ZcGdQtGjRq+7jVnXr1o2JEyc6Epu4uDgOHTp02/W6Ku3uKyKuKN8lMnv37nV8/8UXX9C4cWOKFy/Oe++958Sost6ePXto3rw5gYGB1KtXj379+tGsWTPq1q2Ln58fYWFhuLu7s3z5cr7++msCAgKoW7cuDz/8MElJSY567HY79erVIzQ0lPfeey/DYSWAadOmUbduXerVq8eYMWN4++23s+XeRowYQfv27R2TfW/VlClTKFy4MDabjYCAANq1a0d0dHTWBepitLuviLiifLf8unTp0vzzzz9Xvefm5sbLL7/MCy+8kG/nSKRHy5zTGGPy1H5CGXn66af54Ycf2Ldvn7NDERHR8uv0nDlz5pokBtLO03nppZdo2bIlx48fd0JktyYpKYm9e/eyZ8+e6y5Zlttz6tQpl/pzcas0tCQirsj1l+fchP3792d4zRjDxo0befXVV3PVhM/k5GSOHj3Kb7/9RlRU1FVfx48fxxhD9+7d+eqrr7K87fR662JiYggNDb3m/fbt2/PWW29lWdtDhw5Nd47Npk2bKFy4cJa1cyPGGI4cOUK3bt2YN29euqu/8opy5cpx5swZLly4cNUEaRGR3EyJDGkrWdzc3HjiiScYPXp0jp83k5KSwu+//35VknI5cYmOjnb0thQuXBhfX198fX3p06cPNWvWxNfXl5o1a+bY8EeZMmVyZGdgZxylkB6LxUL9+vVp1qwZXbp0YdSoUUyYMCFPnoZevnx5AP766688s3pPRPK+fJfIWK1W7HY7AO7u7qSmpjJw4EBeeuklChcuzJAhQ1i3bh3Hjx/P0v+VpqamcuLEiWsSlaioKI4cOcKlS5cAKFiwIHfeeSe+vr50797dkbj4+vpSoUIFHejnBJ6enixbtoy3336bF154gZ9//plFixZRsWJFZ4eWpS7v7vvHH38okRERl5GvEpktW7Zgt9uxWCwYY+jRowevvPIKvr6+rFy5kv79+/PPP/84hhPq1KlzU/UbY/jzzz/THQY6dOiQ46BDq9VKtWrVqFmzJh07dnQkKjVr1qRSpUqacJwLubm58eyzz9K8eXN69eqFzWZj3rx5dOrUydmhZRkdUyAirihPr1oywG/AJaA2ULRIEZKSkggNDWXSpEkEBgZy/vx5Ro4cyYcffoibm5tjGGfp0qXcc88919ZpDP/880+6w0CHDh0iISEBSBuSqFKlylVJyuXvq1atmieHJvKLpKQkVqxYweHDh2nSpAnBwcF5oqfMGMOlS5ewWq1KpkXE6TK7ailbe2Sio6NZuXKl46C/nPLSSy/hVqsWXzz4IJdnxdwBhM2Zw/1WK/fddx8A27Zt44EHHnDsHXI5ibFarezevZsKFSoQFRXFRx99RLly5Thy5AhRUVGcOXPG0dYdd9yBr68vjRo14sEHH3QkK9WrV9eEyTyqcOHC3HfffaSmppKSkuLo5XP1JdoWi4WCBQs6OwwRkZuSrT0yERERDB8+PEcmh14pGqgDXASuXJRsAf4DNE1J4fXXX+fll18GyNTS5SZNmlC7du2reljuvPNOPD09szx+ERGR/C7H95FJSkqiV69e1KlTh8DAQEJDQxk6dCgHDx7EZrMRFhYGQFRUFF26dKFhw4YEBAQwbdo0Rx0Wi4UxY8ZQr149atasyYIFC67b5ubNm2nQoAE2mw0/Pz8+/PBDAO4OD+fC1KlpScz48dCzJ9x9N6ZmTXp07UqFChUYN24cqampGSYxd911F9u3b+ehhx4CICEhgZ07d/Lwww+zfPly1qxZg6enJ+PHj6dnz57cfffd1KxZk65du7J37146dOhAzZo16d27t6ONc+fOMXjwYBo1akRAQABDhgwhOTn59h68iIhIPpZlQ0srV67kzJkzjl1BY2Nj2b1791U9Mna7nd69ezN//nzuuusuzp8/T5MmTWjcuLHjtGWLxcKuXbs4cuQIQUFBNG/ePMNt8d944w1GjhxJ7969ARyHIsaSNj/GYft22LEDfHyIb92aQhcvUqhQIS5evJjh/cTGxtKgQQM++eQTZs+ezfr16zPc4Xb79u3s2LEDHx8fWrduzaBBg1i1ahWFCxcmKCiI77//ni5dujBixAiCg4OZOXMmxhgGDx7Mu+++y7PPPpvZxywiIiJXyLJEJjAwkP379zNs2DBatWqV7sZhBw8e5Ndff+WBBx5wvHfu3Dn27dvnSGQGDRoEpJ3e3LJlS9atW5dhItOmTRsmTJhAVFQUbdu2pUWLFgB4kdbV5OhrCQ2F4sVxA0rWr0+/pk159dVXWbduHcOGDeP48eOcP38ed3d3xwGCMTExJCYmZmroKDQ0lOLFiwNQv359ChUqRNGiRQGoV68eUVFRQNoE4k2bNvHOO+8Aab1YmlQpIiJy67JsaKl69ers27ePjh07smHDBvz8/Bw9JJcZYyhRogSRkZGOr6NHjzJgwIAM673eBMrhw4ezYsUKypcvz+jRoxk2bBgANbl6bgz/nXSbCtS3WvHw8MDd3d2R/IwbN46IiAiGDBlCqVKlHB/L7AGCV07qtf63/itfX06OjDF89dVXjns/ePBgrtpFWP5n+/bt9OrVy9lhpGv8+PGOpfy5mavEKSKuLcsSmRMnTmCxWAgLC2Py5MkYYyhZsiTx8fGOMrVq1cLb25vZs2c73jt06BCxsbGO15evRUdHs379eoKDgzNs8+DBg1SrVo3BgwczevRox5b2JYHewJVrhqzAONKSnH9zc3OjVatW/N///R9//vkn69atY/Lkyfj6+gJQtGjRq+7jVnXr1o2JEyc6Epu4uDgOHTp02/VK1gsKCuLzzz93dhjpevnll10iQXCVOEXEtWVZIrNnzx6aN29OYGAg9erVo1+/fjRr1oy6devi5+dHWFgY7u7uLF++nK+//pqAgADq1q3Lww8/TFJSkqMeu91OvXr1CA0N5b333stwWAlg2rRp1K1bl3r16jFmzBjefvttx7VGwB/AfUAocAwYT9rKpeuxWq0EBwczYsQIx1LUESNG0L59e2w2GzExMbf0fACmTJlC4cKFsdlsBAQE0K5du0z3+kj2SW+iekREBDabDUhLqn18fBg7diz169fH19eXDRs28PTTTzsmmu/du/e6bcTHxzNo0CD8/PwIDAxk4MCBQNok8oEDB+Ln54efn59jJR3Aq6++Su3atbHZbNhsNn7//XfHVgbBwcGOP4+zZs2iTp062Gw2/P392bJlS7ox2Gw2l4hTROSmGGNu+AV4AyY+Pt5kJ8DExcVlaxsi//b111+b0NBQx+vTp0+btWvXmsDAQGOMMUePHjWAWbJkiTHGmFmzZhlPT0+zZs0aY4wxkyZNMj169LhuG+Hh4ebRRx81drvdGGNMTEyMMcaY5557zvTp08fY7XaTkJBgbDabWbRokYmNjTXFihUz58+fN8YYk5iYaJKSkowx1/498fb2NqdOnTLGGJOcnGzOnTuXbgyTJ092iThFRIwxJj4+3pC2dsfbXCdHcf3tSEVu05UT1T///PN0d1328PCgW7duQNqwk5eXF23atAGgUaNGjgndGVm+fDkjR4507ABcunRpAFavXs3gwYNxc3PD09OT/v37s2rVKry9vfH19aVv377MmDGD2NjYDDdYbNeuHf369ePdd9/l6NGjeHl5pVuuYcOGLhGniMjNyFWJjDHmmiXOMTExji7rK7+yesny0KFD023nymEvyZsyM1G9UKFCju+vN6H7dl2e3G61Wtm8eTPDhw8nJiaGJk2asH79+nQ/89VXX/Hmm29y6dIlOnfuzKJFi9It5ypxiojcjFx/aGSZMmVyZGfg6dOnZ3sbkjudOHGC4sWLExYWRseOHVm6dCnHjx/P0jYuT4KfNm0abm5u/P3335QuXZqQkBA+/vhjWrVqxfnz55k3bx6jRo3i3LlznDt3juDgYIKDg/n111/ZtWsXwcHBjsnnPj4+pKSkEB0dTVBQEEFBQfzzzz9s3br1qi0O8mKcIiKX5aoeGRFnSG+iekBAQJa2MWXKFC5evIi/vz82m43Ro0cDMHbsWAoUKIC/vz+NGzcmLCyMnj17Eh8fT/fu3fH39ycgIIBLly45tim4cvL56dOnHZNwbTYbO3bs4JlnnsnzcYqIXJanT78WERER15TjZy2JiIiI5DQlMiJZ5Lvvvkt3wnhu21jPVeIUEckMDS2JiIhIrpPZoaVcv2pJJL8xxpCamnZa2OX9XK535lh2tG+MwWKx5Gi7IiK3QkNLIrnM5eTh+++/58knn2T69OkkJCTkWPu//PILVquV7du351ibIiK3SomMSC5ktVrp2rUrXbt25aWXXuKuu+5iw4YNOdJ2uXLlAPjjjz9ypD0RkduhREYkF+vQoQO7du2iWrVqtGrVikmTJjmGnbJL6dKlcXNz488//8zWdkREsoISGZFcrmLFiqxdu5Znn32WUaNGERYWxunTp7OtPavVSpkyZZTIiIhLUCIj4gLc3d154403+O6779i8eTM2m42NGzdmW3vlypXT0JKIuAQlMiIupFOnTuzatYvKlSvTqlUrJk+eTGa2ULhZ5cqVU4+MiLgEJTIiLqZSpUpERETwzDPP8Oyzz3LPPfcQGxubpW2UL19eiYyIuAQlMiIuqECBAkycOJFvv/2WDRs2UK9ePTZv3pxl9atHRkRchRIZERfWtWtXdu3axR133EFwcDDvvPNOlgw1XZ4jkx3DViIiWUmJjIiLq1y5Mv/5z3946qmnGDFiBN26dSMuLu626ixXrhwXL14kPj4+i6IUEckeSmRE8oACBQowefJkli1bxvr166lXrx5bt2695frKly8PwLFjxzh+/Djbtm3jxx9/5MKFC1kVsohIltChkSJ5zO+//07Pnj3ZtWsXkyZN4qmnnrrhmUmJiYlMnDiRI0eOcPLkSY4ePcrvv/9+Tbkvv/yS++67L7tCFxFxyOyhkUpkRPKg5ORknn/+eaZMmUK3bt345JNPKF68eLrlrFYrp06domrVqo4DI9NToEAB/vzzT0qUKJHd4YuIZDqR0dCSSB5UsGBB3nnnHZYsWUJERAT169dn27ZtV5U5d+4c/v7+9O3bl0qVKvHkk09m2HPj7u5O9+7dlcSISK6jREYkD+vWrRs7d+6kdOnSNG/enPfff9/R6zJkyBB+++03Fi1axO7du5kwYQJly5ZNN5lJSUlh0KBBTrgDEZHrUyIjksdVq1aNn3/+mWHDhvHkk09y//338+6777Jo0SIgrbdl/PjxeHl5MX369HSHlipWrEjbtm1zOnQRkRvSHBmRfOTrr79mwIABJCQkXHNt9+7d+Pv7061bN5YvX47dbgfAzc2NcePG8dJLL+V0uCKSj2mOjIhcIyQkBB8fn2ved3d35+WXXwZg2rRpFCxY0HHNGEN4eHgORSgicnOUyIjkE8YYBg0alO6p1ikpKXz11Vfs3buXihUr8uabbzqutWvXjsqVK+dkqCIimaZERiSfmDlzJosXL3YMGf2b1Wp19Mo89thjVKpUCYCBAwfmWIwiIjdLiYxIPnHo0CHHiiSLxUKBAgWuum632/nyyy/Zu3cvVquVTz75mCZNfLn33lBnhCsikilKZETyiO3bt9OrV68Mr0+aNIlz586xefNmpk+fzuDBg2ncuDFFihS5qlzfvn2BbwgJeYJNm6Lw8CgD3A+cuuXYxo8fr+MNRCRbaNWSSD6XmppKdHQ0v/zyC1988QVdurjTt++C/169/PPBClQB9gBF0q3neiwWC3FxcelONBYRSY9WLYnkYUlJSfTq1Ys6deoQGBhIaGgoERER2Gw2AKKjo/Hx8WHs2LHUr18fX19fNmzYwNNPP43NZsPPz4+9e/cCacurq1evzr333stnn31G376HAAvx8YZBg8DPDwID7QwceAT4nISEBAYOHIifnx9+fn6OeTUAr776KrVr18Zms2Gz2fj9998ZOnQoAMHBwdhsNmJiYpg1axZ16tTBZrPh7+/Pli1bcvgJikiecXmXz+t9Ad6AiY+PNyLifF9//bUJDQ11vD59+rRZu3atCQwMNMYYc/ToUQOYJUuWGGOMmTVrlvH09DRr1qwxxhgzadIk06NHjwxqL2CMwYSHYx59FGO3p/0oiImxGmOGmueee8706dPH2O12k5CQYGw2m1m0aJGJjY01xYoVM+fPnzfGGJOYmGiSkpKMMcYAJi4uztGCt7e3OXXqlDHGmOTkZHPu3LksejIiklfEx8cb0rqFvc11chT1yIi4oMDAQPbv38+wYcP4/PPPr5m4C+Dh4UG3bt0ACAoKwsvLizZt2gDQqFEjoqKiMqg97XDJ5cth5Ehw++9PidKlAUqzevVqBg8ejJubG56envTv359Vq1bh7e2Nr68vffv2ZcaMGcTGxuLh4ZFuC+3ataNfv368++67HD16FC8vr9t4GiKSnymREXFB1atXZ9++fXTs2JENGzbg5+dHXFzcVWUKFSrk+N5qtV6VVFitVlJSUjKofQj//tGQ1jFrgP7XlL68EspqtbJ582aGDx9OTEwMTZo0Yf369em28NVXX/Hmm29y6dIlOnfu7DguQUTkZimREXFBJ06cwGKxEBYWxuTJkzHGcPz48Syq/UWgI2Fh8NZbFi5dgpQU+PvvqUANQkJC+PjjjzHGkJiYyLx58wgNDeXcuXP89ddfBAcHM3bsWFq0aMGuXbsAKFq0KPHx8UDa5nuHDx8mKCiIkSNH0qNHD7Zu3ZpFsYtIfqNERsQF7dmzh+bNmxMYGEi9evXo168fAQEBWVS7B7CcKVNWkpxcj4oV3SlSBMLDVwIwduxYChQogL+/P40bNyYsLIyePXsSHx9P9+7d8ff3JyAggEuXLjFgwAAARowYQfv27bHZbJw+fdoxWdhms7Fjxw6eeeaZLIpdRPIbLb8WkevavXs3gYGB1KhR4zrzakREspaWX4tIlggICKBo0aIcOnSI5ORkZ4cjInIVJTIi+dh3333n2PPlyq/PP//8qnKX94J59NFHnRGmiEiGNLQkIjdkt9spUKAAhQoVIikpydnhiEg+oKElEckyVquVgIAALly4wJo1a5wdjoiIgxIZEcmUOXPmAP8bZhIRyQ2UyIhIpthsNry8vIiKitKkXxHJNZTIiEimPfLII4Am/YpI7qHJviKSaZr0KyI5RZN9RSTLWa1W/P39uXDhAhEREc4OR0REiYyI3JxPP/0U+N8wk4iIMymREZGbcnnS72+//aZJvyLidEpkROSmXe6Neeyxx5wciYjkd5rsKyI37fKkXw8PD86fP+/scEQkD9JkXxHJNlarFT8/P5KSkjTpV0ScSomMiNyS2bNnA5r0KyLOpURGRG5JgwYNNOlXRJxOiYyI3LLBgwcD8Pjjjzs5EhHJrzTZV0RumSb9ikh20WRfEcl2mvQrIs6mREZEbsvlSb9Dhw51ciQikh8pkRGR29KgQQM8PT05ePCgJv2KSI5TIiMit23IkCGAJv2KSM7TZF8RuW12ux13d3cKFy6sSb8ikiU02VdEcsyVk37XrVvn7HBEJB9RIiMiWWLOnDmAdvoVkZylREZEssTlSb8HDhzQpF8RyTFKZEQkywwaNAiAJ5980smRiEh+ocm+IpJlNOlXRLKKJvuKSI7TpF8RyWlKZEQkS3388ceAJv2KSM5QIiMiWapRo0aOSb92u93Z4YhIHqdERkSy3MMPPwzAE0884eRIRCSv02RfEclymvQrIrcrs5N93XMuJBHJL6xWK9HR0Vy8eJGkpCQKFy7s7JBEJI9SIiMi2aJKlSrODkFE8gHNkRERERGXpURGREREXJYSGREREXFZSmRERETEZSmREREREZelREYkn7JYLLz22ms0btyYqlWrsnTpUt544w2CgoLw9fUlIiICgJSUFDp06EBQUBB169alT58+JCYmArBgwQKCgoK4ePEixhjuvvtuXnvttSxpF+CHH36gRYsWNGjQgEaNGrF27VoAIiIi8PPz49FHHyUgIAB/f392795NeHg4/v7+NG7cmJMnT2bLcxORXMYYc8MvwBsw8fHxRkTyBsBMnTrVGGPM6tWrjaenp5k9e7YxxpgvvvjCBAUFGWOMSU1NNf/884/j+6FDh5o33njDUc+QIUPMY489ZiZNmmQ6duxoUlNTs6Tdw4cPmyZNmjh+7kRFRZly5cqZCxcumLVr1xqr1Wq2b99ujDFmzJgxpmTJkmb//v3GGGOGDRtmRo4cebuPSEScKD4+3gAG8DbXyVG0j4xIPtarVy8AgoKCSExM5IEHHgDSzkuKiooC0v6zM2XKFFasWEFKSgrx8fE0a9bMUce7775L48aN+eabb9i5cycWiyVL2l25ciWHDh2iZcuWjs+5ublx7NgxAGrUqEGDBg0c9dSoUYO77rrLUc+SJUtu/cGIiMtQIiOSj3l4eABpO/H++3VKSgoACxcuZM2aNfznP//B29ub9957jzVr1jjqiImJIS4ujtTUVM6cOUOpUqWypF1jDO3bt2fhwoXXfP7kyZOOz1z+3L9fX65HRPI2zZERkeuKi4ujVKlSeHt7c+7cOebMmeO4lpKSwgMPPMCECRN455136NmzJxcvXsySdjt06MDq1avZvXu3472tW7dmSd0ikncokRGR6+rfvz/nz5+nVq1adOrUieDgYMe1559/nlq1ajFgwAB69uxJ06ZNGT58eJa0W6NGDRYuXMgjjzxCYGAgtWvXZurUqVlSt4jkHTr9WkRERHKdzJ5+rR4ZERERcVma7CsiWW7o0KFs3rz5mvc3bdpE4cKFnRCRiORVGloSERGRXEdDSyIiIpLnKZERkRz39ttv07RpU95++21nhyIiLk5DSyKS4+x2O+7u7hQpUsRxbpOIyJU0tCQiuZbVaqV27dqcP38+3UnBIiKZpURGRJzik08+AWDQoEFOjkREXJmGlkTEaTw9PTl//jwpKSmOc5dEREBDSyLiAgYMGACQZccaiEj+ox4ZEXEaTfoVkYyoR0ZEcj2r1cpdd93F+fPndbK1iNwSJTIi4lSzZs0C4OGHH3ZyJCLiijS0JCJOp0m/IvJvGloSEZdxedLvM8884+RIRMTVqEdGRJzu8qRfT09PEhISnB2OiOQC6pEREZdxedJvYmKiJv2KyE1RIiMiuYIm/YrIrdDQkojkGkWKFCEpKUmTfkVEQ0si4nr69+8PwIgRI5wciYi4CvXIiEiuoUm/InKZemRExOVo0q+I3CwlMiKSq8yYMQPQpF8RyRwNLYlIrqNJvyKioSURcVma9CsimaUeGRHJdZKTkylUqJAm/YrkY+qRERGXVbBgQWrVqkViYiI7duxwdjgikospkRGRXOmjjz4CIDw83LmBiEiupkRGRHKlli1bUrhwYfbu3Yvdbgdg5syZVKtWjWnTpjk5OhHJLZTIiEiu1bdvXwCqV6+O1WplyJAhREdH8/777zs5MhHJLdydHYCISHpmzJjB0qVLATh27NhV10qVKuWEiEQkN1IiIyK5ysSJExk9ejSpqakZlqlYsWIORiQiuZmGlkQkV1m0aNF1kxhIG2oSEQElMiKSy2zfvp1q1apdt4y/v38ORSMiuZ0SGRHJVaxWK0eOHKF58+YZlgkKCsrBiEQkN1MiIyK50s8//+xYtfRvd955Zw5HIyK5lRIZEcm15s2bx/jx4695XwdJishlSmREJFcbN24c8+bNc3YYIpJLKZERkVyvb9++/Pzzz2kvLBb+BHSUpIiAEhmRDN1///1s2rQJgPHjxzNnzhynxjNjxgzuuusubDYbO3bswMfHJ1vamTNnTrrDOf8WERFxw3OQIiIiWLlyZZbE1bx5c+ZeukQVu53ygA/QLTaWRs2bY7PZeO211wgPD2fq1KlZ0t6/Va1aNVPlWrduTXR0dLbEkJtd+XyCg4M5evSo84KRfEWJjEg6tm7dSmxsLE2bNnV2KA5Tp05l9uzZREZGUrJkSWeHkylZmch8CfR3d+d3iwUAO/DtqlXs8/JiW2QkL774Ypa0I7dvxIgRjBs3ztlhSD6hREYkHTNmzKBPnz6O115eXhQuXBiAb7/9loCAAGw2G35+fixbtgxI+5/45S31AXr06OHoxQkPD2fIkCGEhIRQrVo1Bg4cyNatW2ndujXVq1fnmWeeuW48PXr04PDhw4SHh9OjR49rrv/www/Ur1+fgIAAWrVqxb59+4C0RMLPz4/+/fvj5+dHgwYNiIyMBCAqKormzZsTGBiIv78/Y8aMAaBw4cJ4eXnd8BkVLFiQYsWKZVhXZGQk06dPZ8GCBdhsNl555RVHrC1atKBBgwY0atSItWvX3jBWgJcAy5UBrF5N6rPPkrh5M742G6tXr74qvoSEBAYOHIifnx9+fn68/PLLjmutW7fmiSeeoGHDhtSoUYMRI0ZgjAHg1VdfpXbt2thsNmw2G7///jsApUuXvuEzAShRooRjMnLr1q0ZMWIELVu2pHLlyowdO5bvvvuOFi1aULVqVd555x3H50aOHEnDhg2x2Wy0bNmSgwcPAnDw4EEqVqzIkSNHAJg8eTIdO3a87qaBN9NuVFQUXbp0oWHDhgQEBFx1IKfFYuG1116jcePGVK1alaVLl/LGG28QFBSEr68vERERjrJXPp8uXbrw/fffEx8fn6lnJnJbjDE3/AK8ARMfH29E8oPq1aubPXv2pHstICDAbNy40RhjjN1uN3FxccYYY1q1amWWLFniKHffffeZ2bNnG2OMGTBggGnSpIlJSkoyFy9eNHfeeafp1q2bSU5ONgkJCaZMmTJm7969142pSpUqZteuXcYYY44ePWqKFStmjDHmr7/+MiVKlDC7d+82xhgzf/58U7t2bZOammrWrl1rALN69WpjjDGff/65qVWrlklNTTVPPvmkef311x31nz59+mYe0VUyqmvcuHHmqaeecrx/+PBh06RJE8fPkqioKFOuXDlz4cKF68Z6wWTww2n2bGO55x4z8r/1DxgwwEyZMsUYY8xzzz1n+vTpY+x2u0lISDA2m80sWrTIGJP2e9W2bVuTnJxsEhMTTYMGDcyCBQtMbGysKVasmDl//rwxxpjExESTlJR0y8+lVatW5r777jMpKSkmNjbWeHt7m8cee8ykpqaaEydOGE9PT8efn5iYGMfnPvvsM9OhQwfH64ULF5oGDRqYtWvXmqpVq15V9nbaTUlJMQ0aNDD79+933K+/v7/ZunWrMcYYwEydOtUYY8zq1auNp6en48/0F198YYKCgjKMoU2bNubbb7+96Wcmcll8fLwBDOBtrpOjqEdGJB0nTpygbNmy6V5r164dTz31FJMmTWL37t2Znqtyzz334OHhQcGCBfH396dDhw4UKFAAT09P6tSpQ1RU1C3FumXLFvz9/R273T744IOcOnWKkydPAmlzF9q1awdAz549+fPPPzl+/DgtW7Zk5syZvPjii/z444+3Necms3WtXLmSQ4cO0bJlS2w2Gz169MDNzc1xKGRGsRYAMuojMkCZdN5fvXo1gwcPxs3NDU9PT/r378+qVasc1/v370+BAgUoUqQIffv2ZfXq1Xh7e+Pr60vfvn2ZMWMGsbGxeHh43PJzgbTeNKvVSvHixalevTpdu3bFYrFwxx13ULp0acd8mlWrVtG0aVP8/Px45ZVXruqN6t27N/Xr16dDhw7MmzcvU71DmWn34MGD/PrrrzzwwAPYbDaaNWvGuXPnHD16AL169QLSNiFMTEzkgQceAKBRo0bX/TNbrlw5Tpw4cQtPTOTmKJERSUeRIkW4cOFCutfeeecdZs+eTZEiRRgwYACTJk0CwN3dHbvd7ij3789f+Q+i1Wq95nVKSkpW3kKGLBYLFouF++67jw0bNlCrVi2mTZtG165db7nOzNZljKF9+/ZERkY6vk6ePImvr+91Y3UDBpP+DywL8GAmYrRYLDe8brVa2bx5M8OHDycmJoYmTZqwfv36TNSescz8vh87dozHH3+c+fPns3fvXhYtWnTVn5+UlBT27t1LiRIlHAlqVrRrjKFEiRJX/X4cPXqUAQMGXFPP5eGyK19f78/shQsXHMOxItlJiYxIOgICAhxzFP7twIED1K1bl8cff5xHH32UzZs3A1CjRg22bNkCwNGjR/+3XDibNWnShD179rB3714g7dDFO+64gzvuuAOA6OhoxzyUL7/8krJly1KxYkWioqIoW7Ys/fv3Z9KkSY77uNLJkye56667bhhDRnV5e3tfNU+iQ4cOrF69mt27dzve27p1q+P7jGIFeBVo/d9yVtISGHcgCKiQTkwhISF8/PHHGGNITExk3rx5hIaGOq7Pnz+fS5cukZSUxMKFCwkJCeHcuXP89ddfBAcHM3bsWFq0aMGuXbuuqfuFF164ai7J7YqPj6dAgQKUL18eY8w1dT///PPUqlWL9evXM3LkSA4dOpQl7daqVQtvb29mz57teO/QoUPExsbedt379+8nMDDwtusRuRF3Zwcgkhv16NGDH374gZCQkGuujR49moMHD1KwYEGKFCnChx9+CMBzzz1Hr1698Pf3p27dujRu3DhHYi1dujQLFiygf//+pKSkULx4cRYvXuzogahbty5z5szhySefpGDBgnz22WdYLBa+/PJL5s+fT8GCBUlNTWX69OnX1H3y5Enc3W/8YyKjuu69917mzZuHzWaje/fuvPTSSyxcuJBHHnmE8+fPk5ycTL169Vi4cOF1YwUoAqwGfv7vVwng0n/fS8/YsWN58sknHUNu999/Pz179nRcr127Ns2bNyc2NpZ77rmHBx54gJMnT9KjRw8SExOxWCz4+vpe1Ttx2S+//EKDBg1u+Fwyy9/fnwceeIC6detSsmRJunXr5ri2fPlyVq5cydatWylSpAjvvPMOPXv2ZOPGjbc97OXu7s7y5csZPnw4U6ZMwW63U6pUKcfvx62Kjo7GbrcrkZEcYTH/nal/3UIWizcQHx8fj7e3d/ZHJeJkCQkJNGvWjE2bNuHp6enscG5ZREQEw4cPv2q+xc146623KF++fIZnHmWl2431ZrRu3Zrhw4dflTBklt1up0mTJmzZsgU3N3Vqp+f555+nRo0aDBo0yNmhiAs7e/bs5ZWRxYwxZzMqpx4ZkXR4eXkxZcoUjh49ip+fn7PDcZpnn33W2SHkOlarlW3btjk7jFytQoUKDBw40NlhSD6hHhmRXCQsLMyxguey4sWLO+aN5Effffcdo0ePvub9F154wbGiJj+aNWtWuvN03n//fYKDg50QkUjWymyPjBIZERERyXUym8hogFdERERclhIZERERcVlKZERERMRlKZERERERl6VERkRERFyWEhkRERFxWUpkRERExGUpkRERERGXpURGREREXJYSGREREXFZSmRERETEZSmREREREZelREZERERclhIZERERcVlKZERERMRlKZERERERl6VERkRERFyWEhkRERFxWUpkRERExGUpkRERERGXpURGREREXJYSGREREXFZSmRERETEZSmREREREZelREZERERclhIZERERcVlKZERERMRlKZERERERl6VERkRERFyWEhkRERFxWe43U/js2bPZFYeIiIiIQ2ZzDosx5saFLJY7gBO3GZOIiIjIzapojDmZ0cXMJjIWoAJwLgsDExEREbmeosApc51kJVOJjIiIiEhupMm+IiIi4rKUyIiIiIjLUiIjIiIiLkuJjIiIiLgsJTIiIiLispTIiIiIiMtSIiMiIiIu6/8BeVD535L6ZT0AAAAASUVORK5CYII=\n", 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" ] @@ -615,11 +714,11 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 21, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T08:45:32.198367Z", - "start_time": "2020-10-09T08:45:32.148942Z" + "end_time": "2020-10-11T03:34:24.680002Z", + "start_time": "2020-10-11T03:34:24.650994Z" }, "scrolled": false }, @@ -627,12 +726,12 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "6009d2e3bb52469ea537d9f1159ef550", + "model_id": "1b32ab81edaf452eaf14d5c7e462e6e0", "version_major": 2, "version_minor": 0 }, "text/plain": [ - "HBox(children=(FloatProgress(value=0.0, max=8.0), HTML(value='')))" + "HBox(children=(FloatProgress(value=0.0, max=2.0), HTML(value='')))" ] }, "metadata": {}, @@ -645,21 +744,13 @@ "\n" ] }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/dali/side-projects-hobby/cartesian_explorer/cartesian_explorer/ExplorerBasic.py:72: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray\n", - " result = np.array(list(tqdm(\n" - ] - }, { "data": { "text/plain": [ - "7168" + "1192070" ] }, - "execution_count": 17, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } @@ -673,11 +764,11 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 19, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T08:46:05.718516Z", - "start_time": "2020-10-09T08:45:59.992556Z" + "end_time": "2020-10-11T03:34:04.920612Z", + "start_time": "2020-10-11T03:34:03.202761Z" }, "scrolled": false }, @@ -685,12 +776,12 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "81bfc9e640f5456d8323ada43d3219f3", + "model_id": "9b287cacb9c2431aacc94463a54cee33", "version_major": 2, "version_minor": 0 }, "text/plain": [ - "HBox(children=(FloatProgress(value=0.0, max=8.0), HTML(value='')))" + "HBox(children=(FloatProgress(value=0.0, max=2.0), HTML(value='')))" ] }, "metadata": {}, @@ -719,11 +810,11 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 22, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T08:46:07.495448Z", - "start_time": "2020-10-09T08:46:07.306492Z" + "end_time": "2020-10-11T03:34:27.480257Z", + "start_time": "2020-10-11T03:34:27.300743Z" } }, "outputs": [ @@ -733,13 +824,13 @@ "Text(0, 0.5, 'Runtime')" ] }, - "execution_count": 27, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -781,11 +872,11 @@ }, { "cell_type": "code", - "execution_count": 145, + "execution_count": 27, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T09:35:35.428789Z", - "start_time": "2020-10-09T09:35:35.416513Z" + "end_time": "2020-10-11T03:38:15.650497Z", + "start_time": "2020-10-11T03:38:15.632471Z" } }, "outputs": [], @@ -799,16 +890,22 @@ " # Fit times\n", " log_fit_coef = np.polyfit(np.log(est_flat_filtered), np.log(times_flat_filtered), 1)\n", " fit_coef = np.polyfit(est_flat_filtered, times_flat_filtered, 1)\n", + " def fixed_slope(x, shift):\n", + " slope = 1.0\n", + " return x*slope + shift\n", + " popt, pcov = scipy.optimize.curve_fit(fixed_slope, np.log(est_flat_filtered), np.log(times_flat_filtered))\n", " print('Lin fit:', fit_coef)\n", " print('Log fit:', log_fit_coef)\n", + " print('Slope-1 log fit:', popt)\n", " fit_fn = np.poly1d(log_fit_coef)\n", + " fit_fn = fixed_slope\n", "\n", " # Plot scatter with filtered data\n", " plt.scatter(est_flat_filtered, times_flat_filtered, marker='x')\n", " min_x = np.log10(est_flat_filtered.min())\n", " max_x = np.log10(est_flat_filtered.max()) + .5\n", " xfit = 10**np.linspace(min_x, max_x, 100)\n", - " plt.plot(xfit, np.exp(fit_fn(np.log(xfit))), color='blue')\n", + " plt.plot(xfit, np.exp(fit_fn(np.log(xfit), popt[0])), color='blue')\n", " plt.loglog()\n", " plt.xlabel('estimated FLOP')\n", " plt.ylabel('Runtime')\n", @@ -818,11 +915,11 @@ }, { "cell_type": "code", - "execution_count": 146, + "execution_count": 28, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T09:35:36.599797Z", - "start_time": "2020-10-09T09:35:36.031175Z" + "end_time": "2020-10-11T03:38:17.235983Z", + "start_time": "2020-10-11T03:38:16.590680Z" } }, "outputs": [ @@ -830,13 +927,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Lin fit: [ 1.28306780e-08 -1.61395132e-04]\n", - "Log fit: [ 1.26454643 -22.38704868]\n" + "Lin fit: [ 3.95588723e-08 -8.67827872e-03]\n", + "Log fit: [ 1.29641774 -22.79449518]\n", + "Slope-1 log fit: [-19.11949889]\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -867,11 +965,11 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 29, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T08:46:15.425675Z", - "start_time": "2020-10-09T08:46:15.422157Z" + "end_time": "2020-10-11T03:38:42.394084Z", + "start_time": "2020-10-11T03:38:42.385458Z" } }, "outputs": [ @@ -897,11 +995,11 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 30, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T08:46:17.081604Z", - "start_time": "2020-10-09T08:46:17.075393Z" + "end_time": "2020-10-11T03:38:43.794429Z", + "start_time": "2020-10-11T03:38:43.789660Z" } }, "outputs": [ @@ -909,7 +1007,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Factual FLOPS on a laptop, from log fit 8.870076e+08\n" + "Factual FLOPS on a laptop, from log fit 7.934571e+09\n" ] } ], @@ -927,11 +1025,11 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 31, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T08:30:13.809002Z", - "start_time": "2020-10-09T08:30:09.998578Z" + "end_time": "2020-10-11T03:38:51.089545Z", + "start_time": "2020-10-11T03:38:47.401257Z" } }, "outputs": [ @@ -939,7 +1037,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "4.46 ms ± 709 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" + "4.45 ms ± 487 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" ] } ], @@ -955,8 +1053,8 @@ "execution_count": 32, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T08:46:19.966699Z", - "start_time": "2020-10-09T08:46:19.960673Z" + "end_time": "2020-10-11T03:38:51.102068Z", + "start_time": "2020-10-11T03:38:51.090876Z" } }, "outputs": [], @@ -983,8 +1081,8 @@ "execution_count": 33, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T08:46:21.142290Z", - "start_time": "2020-10-09T08:46:20.624505Z" + "end_time": "2020-10-11T03:38:51.944811Z", + "start_time": "2020-10-11T03:38:51.106891Z" } }, "outputs": [ @@ -992,8 +1090,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Simulator inefficiency: 28.295439844627968\n", - "Simulator optimality: 0.03534138382336739\n" + "Simulator inefficiency: 1.9337510525337913\n", + "Simulator optimality: 0.5171296474226614\n" ] } ], @@ -1005,11 +1103,11 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 34, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T08:30:13.813663Z", - "start_time": "2020-10-09T08:30:13.811189Z" + "end_time": "2020-10-11T03:38:52.758397Z", + "start_time": "2020-10-11T03:38:52.744737Z" } }, "outputs": [ @@ -1042,20 +1140,23 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 51, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T08:30:15.557628Z", - "start_time": "2020-10-09T08:30:15.552781Z" + "end_time": "2020-10-11T03:19:32.887639Z", + "start_time": "2020-10-11T03:19:32.862780Z" } }, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "Simulator inefficiency: 27.113991518360194\n", - "Simulator optimality: 0.03688132746234916\n" + "ename": "NameError", + "evalue": "name 'FLOPS_matmul' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m--------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34mf'Simulator inefficiency: {FLOPS_matmul/FLOP_logfit}'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34mf'Simulator optimality: {FLOP_logfit/FLOPS_matmul}'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'FLOPS_matmul' is not defined" ] } ], @@ -1066,24 +1167,23 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 35, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T12:12:23.137094Z", - "start_time": "2020-10-09T12:12:22.900853Z" + "end_time": "2020-10-11T03:39:10.751939Z", + "start_time": "2020-10-11T03:39:10.718466Z" } }, "outputs": [ { - "ename": "NameError", - "evalue": "name 'SEED' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[0;34m@\u001b[0m\u001b[0mclick\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0moption\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'-B'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'--backend'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdefault\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'numpy'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 10\u001b[0m \u001b[0;34m@\u001b[0m\u001b[0mclick\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0moption\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'-M'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'--max-memory'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdefault\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m3e8\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 11\u001b[0;31m \u001b[0;34m@\u001b[0m\u001b[0mclick\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0moption\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'-s'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'--seed'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdefault\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mSEED\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 12\u001b[0m \u001b[0;34m@\u001b[0m\u001b[0mclick\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0moption\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'--min-memory'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdefault\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m3e6\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 13\u001b[0m def time_vs_flops_plot(filename=None, backend='numpy', seed=SEED,\n", - "\u001b[0;31mNameError\u001b[0m: name 'SEED' is not defined" - ] + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -1098,9 +1198,16 @@ "@click.option('-B', '--backend', default='numpy')\n", "@click.option('-M', '--max-memory', default=3e8)\n", "@click.option('-s', '--seed', default=SEED)\n", + "@click.option('-O', '--ordering_algo', default='greedy'\n", + " ,help=(\"One of (greedy, tamaki, tamaki_{wait_time})\"\n", + " \"'tamki_15' means heuristic solver running for 15 seconds per graph\"\n", + " )\n", + " )\n", "@click.option('--min-memory', default=3e6)\n", "def time_vs_flops_plot(filename=None, backend='numpy', seed=SEED,\n", - " max_memory=2e8, min_memory=1e6):\n", + " max_memory=2e8, min_memory=1e6,\n", + " ordering_algo='greedy', tamaki_time=10\n", + " ):\n", " \"\"\"\n", " Plots times and estimated FLOP for each step of several QAOA energy computation contractions.\n", " \n", @@ -1114,12 +1221,13 @@ " p = 3\n", " N = 1000\n", " \n", - " edges_to_try = 30\n", + " edges_to_try = 20\n", " estimators, maxmems = ex.map_variables(\n", " ('step_flops', 'max_mem'),\n", " d=ds,\n", " edge_idx=range(edges_to_try), n=[N], p=[p],\n", " seed=[seed],\n", + " ordering_algo=[ordering_algo],\n", " )\n", " \n", " \n", @@ -1130,9 +1238,10 @@ " estimators = estimators.T[selector]\n", " \n", " times = ex.map_variable('step_sim_time', d=ds,\n", - " edge_idx=edge_indices, n=[N], p=[p],\n", - " seed=[seed],\n", - " backend=[backend]\n", + " edge_idx=edge_indices, n=[N], p=[p]\n", + " ,seed=[seed]\n", + " ,backend=[backend]\n", + " ,ordering_algo=[ordering_algo]\n", " )\n", " \n", " est_flat = np.concatenate(estimators.T.flatten())\n", @@ -1155,11 +1264,11 @@ }, { "cell_type": "code", - "execution_count": 186, + "execution_count": 36, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T11:13:45.402940Z", - "start_time": "2020-10-09T11:13:42.801460Z" + "end_time": "2020-10-11T03:39:58.588851Z", + "start_time": "2020-10-11T03:39:12.389753Z" }, "scrolled": false }, @@ -1167,12 +1276,12 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "71f8839f8b234ce2a1b95762f9e7558e", + "model_id": "00c65522a7cd40e4999f31e3da7ba01f", "version_major": 2, "version_minor": 0 }, "text/plain": [ - "HBox(children=(FloatProgress(value=0.0, max=60.0), HTML(value='')))" + "HBox(children=(FloatProgress(value=0.0, max=40.0), HTML(value='')))" ] }, "metadata": {}, @@ -1183,20 +1292,28 @@ "output_type": "stream", "text": [ "\n", - "Selected edges [ 0 2 3 4 10 13 16 28]\n", + "Selected edges [ 0 2 3 4 10 13 16]\n", "Estimated memories [27262976 1310720 7864320 37748736 11534336 16777216 46137344 436207616\n", - " 3145728 83886080 2621440 14680064 13631488 5767168 4194304 7340032]\n" + " 3145728 83886080 2621440 14680064 13631488 5767168]\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/dali/side-projects-hobby/cartesian_explorer/cartesian_explorer/ExplorerBasic.py:72: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray\n", + " result = np.array(list(tqdm(\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "fa0707d2e4e34d949272f8d090141867", + "model_id": "6a05b71100b745a3a8b1674130988427", "version_major": 2, "version_minor": 0 }, "text/plain": [ - "HBox(children=(FloatProgress(value=0.0, max=16.0), HTML(value='')))" + "HBox(children=(FloatProgress(value=0.0, max=14.0), HTML(value='')))" ] }, "metadata": {}, @@ -1207,24 +1324,25 @@ "output_type": "stream", "text": [ "\n", - "Lin fit: [2.25974400e-08 2.21825219e-03]\n", - "Log fit: [ 1.26078658 -22.31852001]\n", + "Lin fit: [2.11670890e-08 6.72474995e-03]\n", + "Log fit: [ 1.33334429 -23.18701601]\n", + "Slope-1 log fit: [-18.95265756]\n", "===Results===\n", - "Total time: 10.318\n", - "Simulator fitted flops: 4.9296 G\n", - "Matmul flops: 21.564 G\n", - "Simulator optimality: 0.2286069959285035\n" + "Total time: 9.8551\n", + "Simulator fitted flops: 11.749 G\n", + "Matmul flops: 28.388 G\n", + "Simulator optimality: 0.41387031429035953\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "1577a2799ffd4daba683d5d71cda19a5", + "model_id": "fbf71d18456449bc8d67fa0bdb46cee5", "version_major": 2, "version_minor": 0 }, "text/plain": [ - "HBox(children=(FloatProgress(value=0.0, max=60.0), HTML(value='')))" + "HBox(children=(FloatProgress(value=0.0, max=40.0), HTML(value='')))" ] }, "metadata": {}, @@ -1235,9 +1353,9 @@ "output_type": "stream", "text": [ "\n", - "Selected edges [ 0 2 3 4 10 13 16 28]\n", + "Selected edges [ 0 2 3 4 10 13 16]\n", "Estimated memories [27262976 1310720 7864320 37748736 11534336 16777216 46137344 436207616\n", - " 3145728 83886080 2621440 14680064 13631488 5767168 4194304 7340032]\n" + " 3145728 83886080 2621440 14680064 13631488 5767168]\n" ] }, { @@ -1251,12 +1369,12 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "16ea2f0424af43439929d0db8b503e75", + "model_id": "7894f510be9e4a9fbc9687a923902b5e", "version_major": 2, "version_minor": 0 }, "text/plain": [ - "HBox(children=(FloatProgress(value=0.0, max=16.0), HTML(value='')))" + "HBox(children=(FloatProgress(value=0.0, max=14.0), HTML(value='')))" ] }, "metadata": {}, @@ -1267,18 +1385,19 @@ "output_type": "stream", "text": [ "\n", - "Lin fit: [ 2.34506798e-08 -3.58409871e-03]\n", - "Log fit: [ 1.26797606 -22.39941682]\n", + "Lin fit: [ 1.61124218e-08 -1.83452513e-03]\n", + "Log fit: [ 1.25167296 -22.48619316]\n", + "Slope-1 log fit: [-19.28927764]\n", "===Results===\n", - "Total time: 9.2619\n", - "Simulator fitted flops: 5.3449 G\n", - "Matmul flops: 21.523 G\n", - "Simulator optimality: 0.24834176328456667\n" + "Total time: 6.3469\n", + "Simulator fitted flops: 5.8295 G\n", + "Matmul flops: 23.118 G\n", + "Simulator optimality: 0.2521579552905311\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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+nsJbJxzMI3T3D4yuUswixfH5R+dm8PDBA0jyydpXj3aM4+iC2RTY54Dpo2jrlrzoi/rkQkydahb5Gz7czK5OSvL7sRpa2I5Cc+rgKUM6ccRYche4JcPNr1/msDc7/vpCs0T2uHbRVF7QmXHtTFuHfTxQOFetDcROyc5jneKr1XKanpTgMWLLV3hrQZXi/vlTXM6fMH8KysncZ98BFbhldhf4mdltGKZp6eyzTRPRmWfCN9/Ahx96F4mKCnjlFXMH8fDDZi+JH380y29okag9ekehaZbYFx9nDo66nqq848QNGUabUePImT+b/BVLObFnBx2nvlrnKqfO3H/gONOTEhicEEH/6DCHT2JGcmsAEkKtATdB2cXCuc5SIJL7/M2L8BXe+mK/yxjDFJfzp42awtyrB7qIUF0yu5WCVavMsNUffoA+fcxciMGDvUckGQa8956ZYJeeDgMGwNKlcPHFfr0SjRf0jkLT7PDYVGjIMKryzEXdUIZ5HnV3+NZkx3+0Y5yL49ouFsHIofAkig3dPMnT7mpal3geOJTPvMQUFyf1vMQUJhzMc5lf4s0jXcTNLhbeSrOvXw+XX36yL8TixbXrCxERYeZCfPWVFolAoHcUmmaHx2+oo8xvqKV7dlC4chmFK5cBEDvkRtqOGt8gdvxgRTvlLJhN3vKljj7Q9mNouIKEnnZXEw7mEWcVRudmMMHJSR2e3I24DufWKbN7507TVPTRR3DaaWYuxOjR/veFSEoyndW+cic0dcAe+teSfs477zylafkYhlHt2DAMtfcPlzh+3M8JxDMamn+sXKP+8ukXqqqqSimlVFVVlfrLp1+of6xc0yDPNwxD3bsvV1m+OaDu3ZfrcvyXT79QP/3hEnXk9ZnKMAx15PWZao/Tsb8cPKjUiBFKWSxKxcQo9eSTShUW+r5m506lrr9eKVCqbVulZs1Sqqysnh/2FAfYrDysqXpHoQk6qh7F5Hzh6R6eTDT1+dbdGKWwnVFKUX5WH+ZlFxJxMI/pSQlMOJjHvMQUR7kN93kF6v3a8bW7CssTEupRVTY392RfCKXgnnvMTnO++kJkZZmRSwsXmn0hHn8c7rtPh7kGFU/q0dx/9I6i6ZDzznyXb5f2b50578wP6HPs993r9u12bx2+3TY1nL/B23/s3+ynHDru+LPzuVMOHQ/KPDwd12XXVVho7hpiY81dxIgR5q7CFzk5Sj3wgFLh4UqFhSl1771KHTlSu8+g8Q1edhRN3oonIl1FZL6ILK35bE1TQqnqiXHBah3qLbImbuiwWvVMaIp4C9MFyN65zWPYavbObQF9v/Z5eDquza6rvNzcPaSmmpFJgwbBtm2wYAF07uz5muJic9eRkmIm1d10E/z0E8yYAW3b1u8zafwjqKYnEVkADAWOKKV6Oo0PBmYCVuB1pdRz3u6hlNoHjNJC0fzwlRgXDCds4s0jXcwu9uc3Z5EA72G607rE83jWFk6U7GRW2mBH2Orwzat4PLIMGNAIs/WMp74QH36o+0I0F4K9o3gDGOw8ICJW4GXgKqAHcIuI9BCRXiKy3O3ntCDPTxNkGrp1aGP7FAKN8y7BPUx3wsE82owYy9RI1yS/qZFltG0iAqnq0ReiRw+zL0RqKvzvf7ovRGMSVKFQSn0FHHMb7gekK6X2KaXKgSXAdUqpbUqpoW4/R4I5P40r7qaKQJgu7OYmZxo6ByBYBON9uePNkexcJ8m9sF59Cu0FEvdciLffrjkX4vPPdS5EU6QxfBQdgEyn4yzbmEdEJFFEXgXOFZGJPs67S0Q2i8jmo0ePBm62pwj+VgGtDc4+CefSDfl+lm5oytT0vgIpIo91iufFznEuJrUXO8fxaMc4x27DOeGtpuJ+wca5L8SuXSf7Qvgq4b1hA/z2t3DllXD8uJkLoftCNB2afHisUioX+Ksf570GvAZmz+xgz6sloVRwOp7VtXRDU8e5airgKBJof185Sxagioscn9kumJaoaK+ZyL548LMvya9SzL16IBaLBcMwGPPZOuKsQmhFOcMPHjDNTcvWMXXBbNi8itAuSZD0+wB/ct8cOgSPPQaLFpllvp980iz97a3kN5g9IB5+GJYtMx3Ts2bBX/6iS343NRpDKH4GOjkdd7SN1RsRuQa4JjU1NRC3O2UIZqvKluZgtldRndYlHqj+vqZ1iSd3TeCqvRqGQX6VYl5iCqxcy9yrB3L3yrXMS0xhdG4GTxZnoZx8Em1HjmPqgtlYS35usHeckwPPPnsyF+Lee836TP7mQkRG6lyIpo4Ee3sqIknAcnvUk4iEAHuA32IKxCbgz0qpHYF6Zlpamtq8eXOgbnfKoJQiZP0hx3HlBZ2b7YIeDNwdy9O6xBO64aQVtaJ/JywWi4vJzU59Ir0Mw3CIg53RuRmOHYa7+NR1B1hbiorMfhAvvGD++f/+z1z8vYW5Ahw7ZorKnDmm0/ruu80EOx3m2jQQke+UUmnu40H1UYjIO8C3wJkikiUio5RSlcBYYDWwC3gvUCIhusNdnfEWgtmc/QiBxtmRPCu70EUkAEchvEBHelksFuZePdBlzC4S9nm5zzOYeMqF+PFH/3IhunY1cyH+9CedC9GcCHbU0y1KqdOVUqFKqY5Kqfm28ZVKqe5KqRSl1NMBfJ7ucFcHfIVgarFwRUQcZic7Ff07ubwvwzACGull31E4c/fKtRiGUaf71RVffSHOOcfzNd76Qrz5pu4L0Zxo8pnZmuDjTwimxkQps7ObMxMO5jGtSzzj28cQZxVyF84JWKSXs9lpdG4GFf07MTo3g3mJKQ0mFsrWF+K882qfC3H22a65EB9/rHMhmiNNPuqpNmhndt15rFN8NadzIFt6tgQ8+Sjs0U5gRj9ZLBZyAxjpZbFYHKW87eamuVcPhJVribOKw/wULL791nRMr1sHyclmLsQtt3gPc7XnQkycCFu2QK9eZi7E1VfrMNfmTNCd2Y2BdmZrgoWn3tH3HzhOfIjFpWlRoB3MhmG4iIL7caDZudN0Mn/8sdkX4tFH/esLMXEifPmlaVZ68kndF6K54c2Z3aJ2FBpNsPF35xVoB7O7KARLJA4dMiOX3nzTLOHtby7EpEmmr0LnQrRMWpRQaNOTpiFoafWkoG59ITIzzfwHnQvR8mlRm0Id9aTR1I6iInjqKTNs9aWXTP/D3r0wfbp3kTh2DP7+d+jWzSy1MX68WRH20Ue1SLRUWtSOQtOyaKxEslOB8nKYN880LR0+DNddB08/7T3MFcxciJkz4fnnoaAAbr/d3EXoMNeWT4vaUWhaDrlLFriEk9qznXOXLGjkmTVvvOVCfPSR71yIV1/VuRCnMi1KKHRmdsugITvjnSp4yoVYscL/XIi//U3nQpzK6PBYTZMk0PWSTmXWr4eHHjqZC/HUU3DzzbXLhXj2WZ0LcSrQKLWeNJq60tCd8VoinvpC7N7tO7fB3hdi8OCTfSG2bNF9IU51tFBogkJ9G/e05M54webQIRg50twJfPGF2XM6IwPGjPGe27B7N9x4I1xwAWzfbjqtd++G224Dq7Vh569pemih0ASc+jqia9sZryFakjYHcnNhwgTo3h0WLzZzIfbtMyu8ekuYy8qCO+80Hdmff24m22VkmCGv4eENOn1NE6ZFhcfqhLvGx9kRDXVr3FObzni5SxZgBLCbXG1oKuG7xcVmDsTzz5t5EcOHm2Gr/vSFmD3b9EmMG2dGNOmS3xpPtCihUEp9CnyalpY2urHncqrivKjnL1/qEIzaOqL96YwXCFGqK40pUHbKy+H1103T0uHDcO21Zna1zoXQBBptetIEnEA5ov2pn2SJjCYsOZX85UvJuOEy8pcvJSw5FUtk8HpyN3b4rmHAO++YYatjxpimpq+/NsNWa8qF6NZN50Joak+tdhQiEqmUKgnWZDQtA2+O6EBHLSmlMEqKKN+f7jJevj+diHP6Bm1HEahdU21RClavNsNWt26F3r3NXIirrvIekWQY8N57MHmy6XsYMADefx8uvjgoU9S0UPzaUYjIRSKyE9htO+4jInODOjNNs6S2juj6ICIkjhhLWLKrTyosOZXEEWOD6i9o6PDd9evh8stNUcjPN53VW7Z4z22wi0pamlm/KTLS7Avx1VdaJDS1x1/T0wzgSiAXQCn1A3BpsCZVV3RmduPjzREdN3RYnRr3+MIwDHIXzvG4o8hdOCeoJqCGCt/dtav2uRAbN7rmQixapHMhNPXDb9OTUirT7X/yqsBPp35oZ3bTwB9HdH2xO5OJiCQsOdVFLMKSU5HIqKD6KJx3Tc5OdAjMziIzEx577GRfiCeeMEt419QX4uGHYdkyM3pp5kyzL4QOc9XUF3+FIlNELgKUiIQC9wC7gjctTXMnmD0bnJ3JdpFw/2+wfRT+hu/WltxcM2x1zhzTfHTvvaZPwldfiKysk30hIiLMXIj779clvzWBw1+h+CswE+gA/Ax8DowJ1qQ0Gl+4O5PBNDfFDR1G4oix5C6cE3AzlzuB3jXVNRfiuefMXAjDMCOgHn7YbF2q0QQSXRRQ02xRSpFxw2WO45Rl6xCRav2km1ofC+f5VFTAa68pnnxS/O4LUVJimpWmTtW5EJrAUq+e2SKSDIwDkpyvUUpdG6gJajS1wZsz2RIZjVHSMIlw7oLkfuyJnHfmo0qKaX3HON57T3jkEUVGhnDhWb/y4Yeney35DaaozJ9v+it+/RWuucYUlV69AvWJNBrP+Gt6+giYD3wKGEGbjUbjB76cyc6O7WBmamdNHodRUkzHF1/HYrFgGAZZD9yJJTKKjk/N9nhN7jsLKN74NWs2JDDjiaNsO3QaZ7fJYt4Fs7l2VEfaXjAOqD4/wzBzHyZPhvR0nQuhaXj8FYoTSqlZQZ2JRuMnvpzJEhlFxDl9g5oIZxgGRkkxZfvTyXrgTjq++DpZD9xJ2f50wpNTPe4slFJs3BbN42+PZUPOb+gU+TPTznuCoR2/oFXXFNqMfK7a/JSCf//bdGZ//725c1i+XPeF0DQ8fvkoROTPQDdMJ3aZfVwp9X3wplZ3tI/i1MBbUT5vvotA8o+Va8jJPMTEVQsQQAHPDh5Jm06def7qQS5isWsXTJyo+PhjoU1MCWOS/8mfkj4lzFIJQNcP1lYTlo0bzWZDX35p+h6eeMLMndAlvzXBpL6Ni3oBo4HngGm2nxcDN73AoBPuGhf3Lx1VVVUuY4ZhBDwz2/24IRLhDMOgwIA3e1/OM4NuRQHPDLqVN3tfToEBD372JXevXMvBgwYjR0LPnoqVn1cx4LZ9ZGS14rauHzpEAnBJDty9G4YNg/79zb4Qs2aZY7ffrkVC03j4u6NIB3oopcqDP6X6o3cUDY97NdXMh8dSlv4TYV260vG5VwDInDAKoyCf2N8NJfGWwFdY9eW7CLT5qbKykrvmv82bvS93jP3fj1/y6og/c9fS9by5vA/WpdFYxcKZV2Wy/S/C6Kq9PPTFW1QeyHB4IkJtPpWSi+5g9k8jWLhQiIyEBx7QuRCahqdeUU/AdiAeOBLISWmaHnXpseBe7rv1HWMozzwA5WWU791F1oQ7MZRB5cF9ABRv/B8KRZtbRgV07sFMhHPGMAx++cddTNyf7iIU9yz/Fw8viuXD7dcjRVA1uBhjVB47TleMzkkn1qjgxgG3cW7fHF67bRi5b7zMvUdj+eLgExybfDoWRPeF0DRJ/BWKeGC3iGzC1Uehw2NbEHXtseCtmirRMVBUSPkBp/IaSamUH0gnomdwMqcbonyIxWJBIqJ4drD5TlQF8Ek0F371MaUFEQw+7yATr/kvl//+Esc1TxzezsORHfkh+Tx+IJVWu/LYunsU37waAcXC2deXseJFC8nJ2kutaXr4KxSPBXUWmkanvk2A7AuyQySA5Dc+Yf+wy13OKz+QHvRy3MEsHwLmjuLpC6/njYQUBi0r4sCHPcjIEEr7nODaWzfzz4SvmVjayuWah0rDeY4sIlpfxsvzYe6COMgNgQEl3DqpnLcGxzWppECNxhm/hEIptS7YE9E0Lr56LPhTstuTE/nAiOs8nps4YmwAZuz67IZqSWre20LulkRav9GaL/Z1oU8fWL7c4BPjG+JChMeqerEoMYXhm1cxac1i09H9m8FkflLIwamtUekCfU4gT+cgvct464LOWiQ0TRqfQiEi/1NKDRCRQswIQMevAKWUig3q7DQNioggkVEuY861k7yZn5ydyOHdziY09SyK//sFqrDAPCEsHModFkuyJtxJeI/ehMTEVjMV2e/n78L5eGYeeZUG05MSHOay+w8cJz7EwmOd4mv3Avx41q5NQvasWNat60NysuL8GUX0u76SIV3iucoYiMViYcCXWzmnNI+JaxaDgkuW7GHJ7Nv5Ym8X2pxZibxwDC4qdeRC3Lf/GDOSW2ux0DRZfAqFUmqA7b869uIUwDAMSjZ97TKW9cCdjoJ73hZwhxN5yDAUioIVH2BJSESFhpmZYXaRiIpBKisoP5BO+YF0YofcSO47C+pcckMpRV6lwazsQgCmJyVw3/5jzD5cxPj2MY6Q00AswDt3Kt66L5KMz8OITDSYNQv2/v44Lx8r5CzDfJbFYkEpxflJnZmVXcj9KfeS+2YS63N+A6dX0uWp4xy6rACxwrh2pnN9VnYhsw8XAWix0DRZ/K319JZS6vaaxjTNF6WUowmQcxkM+3FN5if7zgDMhdnZVxGWlEqrHn0oWPmBY1sa3u1s2owcR+7COfXyi0xPSgBgVnahQzDGtYt2jNd3d5GZaZbtfuMNISoqlAvvK2H9kBzujVRwDMa3j3HsZuzkf7aT6LfPZMW3N0B8FXLvMc66aDsJCVGcHnsG/aPDmJHc2nH++sIyEkKtWiQ0TRZ/ndkutSxFJAQ4L/DT0TQWzqGliSPGsu/GgY7fRZ0/oMZid/Z7ANWc2h2nvY6IULDyg5NjU18NSO9pu1jYRcJ5HvcfOM6s7ELH7qI2C7F7X4h77oFJk4TExAhC1p+0wjqLRFaWTVQWXoxqpZBReXBzARKl+Iku3FVwiJd7tjNNfLZr7IKmRULTlKnJRzERmAREiEiBfRgoB14L8tyc5/EHYAgQC8xXSn3eUM8+lWh90wjHzsIZo6TI74XWW2a0uBW7y1kw2yXXwVlYahMRZfdJOOO8u/D0jd8XvvpCeHrW/QeOMzk2galThdmzoapKGDtGsfb6I+xoddIv0zcylJf7X1xNcLVAaJoDPr8mKqWetfknXlBKxdp+YpRSiUqpif48QEQWiMgREdnuNj5YRH4SkXQReaiGeXyklBqN2UDpJn+eq6kduUsWkDN/tsP0EzvkRuKGDCO829nkL1/qVxkM98zolGXriB1yIwUrPiB/xVLihphjcUOHOe5pGEadS27YF277rqHygs6Ma+faK9RfkaiogLlzISXFrNJ6+eXw449m1zhnkXB+1t9iY5j5vHBGsuLFFxV/+hP89JPCet9xF5EA2FpSwYSDeUHt463RBAt/w2MnikgHoAuu/Si+8uPyN4A5wCL7gIhYgZeBK4AsYJOIfAJYgWfdrh+plLJnhE+2XacJII4cihVm1FLskBsRxLG4h3fv4Vdms3tmNEDbUeMp27MTgMSRY6tVerX7KOrSe1pEiA+xOHYN9jFn7j9w3KdYGAa8+y488ghkZMAllyiWLRMuuujku7GbiuzPmtohgX/+U/jg8QRUtpD0uwo+mBFKz54AQtwhoW9kKFtLKhzP6RsZSpxV9A5C0yzx15n9HHAzsBOosg0roEahUEp9JSJJbsP9gHSl1D7b/ZcA1ymlngWGeni+YBYk/KypVqxt6viqtOruKyjba7ZDd17w/V3g7E7tJ7LyHWGrHae+ilKKCQfzHI5luwjkLllQr5IbY79eRlVxEWrEWCYczGNWdiF35mbwdNEBnu7/B5eIKOfPqxSsXm1Wdd26VejdG259s4g2A8q5MDkBqB5q+0iHeN59V9HjESEjAwYMEN5/XzFgQKjLe82vUmwtqXAImH0ncmlsqybXbU+j8Qd/ndnXA2cqpcpqPNM/OgCZTsdZQH8f548DfgfEiUiqUupV9xNE5C7gLoDOvhoNn4K45xoYhsGEg3mE7f6BB37ZRuKIsVgsFlrfMabOvgJ33MNW7Yu4u2O5PiU37DuhguVLESDuitsZnZvBhPlTUEOHMa1LPADxIRZExPEe/pSdwKRJwtq1ENvJ4IZZJ3jv7kgeOFTOrOxCRHBZ4Me1i2H1asWkScL33ws9e8Knn8KQIZ6zwJ13Oc6RWfZ5aDTNDX+FYh8QilOdp4bE1jTJZ+MkpdRr2BzsaWlp2hBswz3X4OENHzE5Ool5iSmMOHKEvOVLKd2xlYi0iyhc/bHLtc4O59rgLWy1to5lf57jvBO6bflSFBDvtENx3kns2w2LnmrFS18Jp52mGDilhHWX59C5UwwWSyQPb/iI0ugkZpHimPN13x7hu/mhzNwpdOkCixbV3BfisU7x1cQvkJ9bo2lo/BWKEmCriHyBa1HA8XV87s9AJ6fjjraxeiEi1wDXpKam1vdWLYZqi3aX3wIwYs96HvzoZayxcZTvT3fkTVhi4+iy4COOvfGy374CX891Dlv1tFjWtRAh4GI2y7eJhLjNV0TIzITHHhPefjOOsEhFxeg8jt5UwFeRivFOORequIgJ705h3j/eQh0IQb0Wz4dru9AmpoSXXlL89a9CWJh/WeTBrjel0TQk/jYu+gR4EvgG+M7pp65sArqJSLKIhGH6Pz6px/0AUEp9qpS6Ky4urr63alE4i4WdBz96GQGMAtcmTzG/vw6r1UqbkeOIGzqszuW5vYWSOkf9OBcitEc62Z3ZRnGRzwihxzPzuP/AcUfUlL150OyLr+fo/FlmmG+u2dehWzfF4sXQb2QZd3yZj4zIRyJPJgc+kZWPiJA4YiyPX/csxrOtUbedARsjOO+W/aRntuKee4SiDxdw1CkiSynF0QWzyV2yoNbvR6NpTvglFEqpNz39+HOtiLwDfAucKSJZIjJKKVUJjAVWA7uA95RSO+r6IZyepTvcecDTom3vzOZO6XffYBiGY+F0/lbva+F2FwD3UNLx7WPMshZOYmHfDdjDZTNuuMyvJkPO5rS7V64lb/lSpo2awqK0wRS368ivH69g0g3f0rWrYsYMxR/O28X6F9/lgkklvF5R4HKvWdmF5FUa5OQY9PtbGYv/ciGWlZH8X9JSbnr4LbaMszDlWB6GYTA1sgMPloQ7xOLogtk8WBLO1MgOOuxV06LxN+ppP1RfV5RSXWu6Vil1i5fxlcBKf57vL0qpT4FP09LSRgfyvs0Z90V70voPmVgezcK0wQBMWrPYkQpnsZmhchfOQSKjUCXFfpmEcpcswCgqos2ok4t76I+bGN0qkukXDHDsaJRS1Ry6dUm4czGnkcK8f7wFQFpYGLu/6c3v/v0OOWWJXHONotWVG2lX+g0dIq0UfLMWuroWFFClwv8e+oXU1QnkF7Si++XZvGq9h05R2ahNEN+7E3EdzkVEqOh1PovangWbVzHphst4ZtCtLEobzPj2uhSapmXjr+kpDTjf9nMJpmP57WBNShM4RISw3T8wOjeDFzrFUrrpax786GWGb/k3sWUlLvnSRkE+YcmpDpHwxySklKLk+w3kr1hKznzbufNnU7Z3J5VHsl3O9bT4e8vkrukburNYKAPUvyP56YbT+PrVM7F0LGfJJXeTeMVrfPCb9uRHxFC4/iviSgu5ffMq85pKUB9G0+r6RDa/15NLLoF1UxazPPYmet40gJRl64gfOowJ86cw5t+mEE1PSmB8+xgWpQ3mrH+85RAJ7ajWtHT8TbjLdRt6SUS+Ax4N/JTqTnN3Zgejr4JSigd+2Ube8qUcPzyMyPMvpjL3KJP+vQj3O4clpxKZdjFtbhnlWKj9qcEU3r0HZXt3kb9iKfkrTKdywaBbWZTaj5iDeS6hps7hse6Z3LVJuFNKcd/+46j1rVCvJMDeMELPqqTrpB/YPySeP8uDAA5hmHXWJcT+dgirdqSj/hOJei0eskLhnALueLyAhTfGkrukHKOD95wOpRQT17zNrB4n+2xMXPM22M7TaFoq/pqefuN0aMHcYfgbMdVgNGfTU32if3zhHkLqGHc6J3npl44op4hzTrYo9cckJCK0HWUGvxWs+MBx7+ciThBv80t4C491z+T2N+FOKcUtHxbw7tOR8H0rkpMVZ04vYnW/XCxlVtwveyttML2OZrJ72QnK5p0LP4XTPXYfJZOK+XlILO9XljHfiPaZ0+Hsk3DmwZJwpi6YTdsgduzTaBobfxf7aU5/rgQOAH8M+GxOUZyjf6D25bZrwtOi78yxN152dJ1z/vbsySTk7Vu+e9E/C8K0LvE1hsfWNuFu1y6ziutHH8URmWjw7EwzbDU0NIr79pfx+i+VLue/lTYYtTOMjDl9KNsaA+0rkUdy2Pt7K2KNNWetFFVVVWYvbB9hrY91PJdFsZ1dM67TBtOq4BBzPc5Wo2kZ+Gt6cml8bKvVdDOwJxiTqivN1fQkYnaWC0tOdTH12P0Fvr5Z+2Oq8rTohyWn0uGFeS75EvYM7dqYhOw+ifwVriKUt2Ipj7TvCYkpjjFvdZf8yTk42RcCoqLgiSfg3nuFmBj7PMy5lFpP/pNWB0NQ/4yHtVGciK/g/D+uZ/OY05Ew13sP2/UNcnEKvhAR2vfoxXinDHdHxnXHXno3oWnR1FRmPBYYg1ly42PgP7bjCcCPwOJgT7A2NFfTk1IKVVLsSHqzU74/3cUU5Iy/pir3Rd8SGU3xpv9Rvj+92k7CXgK7tiahE3vMyObYITfSdtR4jsyfxUOlrViUmFKt3hFU31n4Ejz3vhDjx8OkSdC2LTgb0OylM848msluklCvx8HKaAhXMDKPP/ZezlPZ3zI0/xZ+ansy1/PMo5k8nvk9ISEjavx70hnXmlMV8RVdIiIfA8cx8yB+C5yG+X/nPUqprQ0xwbqQlpamNm/e3NjTqBWGYTjajtoJTUqh07T5jgXcHyewJ4ezu6gYhuHSB9vXTsSfHUvukgVUFRXSdtR4x/we/ORzCltFMvf3AxxjnrrNeet5HVluIXJpPM8/D4WFJ/tCdOni/R0ePVpFz9FZHPmsEyiB6wuR4flIa4M2RXkM69yOV49Vr0Izpm0kM1Pa6AVfc8ojIt8ppdKqjdcgFNuUUr1sf7YCvwKdlVIngjbTANDchMJ54XfH/i0dcNkxeLrGV6JaMCKqaro/UOPOwTkaanpSAvfsPc6ceYqINxMoOWrhuuvgqaewlfD2THExzJoFU6cq8guAwcXInXnI6VUu57WqKONEaHi169sU55N12dmEhoZW+51GcyrhTShqyqNwFNRXSlUBWU1ZJJprZraIYImMJiy5um+lbM9Oj3kMzuYgO76cwMGuPeTp/s5+DGeRcD625ybM/KUQ6xM5zB4Ug3oxkfPOEr7+Gj76yLtIVFTAq69Caqpi0iS45BLo/f5RLI/kVhOJdiHiIhLj2kczIsfcvVkNA6uvKn8azSlOTc7sPuLaAtXeElUApZSKDersaklz81HYF0vDMDBKiijfn054t7MJ794DpRSFK5dRtneXo3+1847Bn6gk98UZ8Pi7YPJ4Zh6r80rpFxXGjOTWgOnUXl9YxuCECJSCfV9aUc+dDnvDILWca1/P59wrFBd1jvd4T8OA9983O9Glp8MZ51Xy1XshDBgAF22rguLq13QOC+Fw5clGQjOSWqO6XI6s+JLWIRa/eoJrNKcqPoVCKaW/ZgUJu9/AngVdmvETlpg4DKUoWPEBYd3OJqRLVyoP7nNc0/qOMQAOH0P+crMDXZtR1aOSjr270OGXOPbuQqqKChEES3Q0rW8aEZAcjZqw12TaUFTOhqJywBQqu1O7894IPn62FWXftYIzKpBHc+D3xSy3wPdHLDzWKc7NVAX//jdMnAjffw89eyqunVfEpz2Osez0GAaQ4DGju1d49bBXewTWP4dcrkVCo6mBJpc0dyrgnDcRlpxK+f50LDFxVBXmY5woBaB87y5H2Ww7h+68gYgLB2K1WDmxfy9hSamU7tnBsXcXnoxKijR7Rtvvb1847clwcUOGcXT+LApWfBCQHA1fiJi5FP87mMX34XHMPlxkfv4DIcTMjeK9/8UjrauQ+4/BdYWIk4ugXEFVVRUhISEopdi8WXjoIcWaNUKXLopFi4RbbgGrNZr79pe7JPYBjGsXzYzk1ty7L5c5R4qhrNxrBJZGo/GNFopGwFO29MzegygIj3QU6bOXzY4tK2Hc1x9CaBhVeccp+uxDAMKSUik/YNrYW9lMVRIZhVFiLsaJI8aColp+g/24pgqtgSB3yQIqiwr5TftefB8ehzpsRc2Ph5VRFLRSpN26j/CxrdhCBSecNgKtBCJE8ffMAm76cA1P/6svy79LJaK14srHSnm9/UJmt+nB3zP7eO1Dbd/B2HcL7UMtTOsS75r/oDvOaTR+0aKEojkl3DlnSyugIDySRU4VXe2VSYdvXoUKCUUqyl2ut4tEaFIKlqhochfMQWGarZRSCELpT9u9Pj/YImHfNRWs+IDCK5Iw3omHpbGmAv6xkDOv28MKfuTqE2mcCHftH3JCQdGhSl56IpSZK24g0nKC827Zz/cjrSSdSKdk/rvkj5rCvOxC+kaGsrWkotrzNxaXE7L+EGCWDnmxc5xLnsi0LvHa5KTR+InP8NjmSnMIj3XPaLbvIOxiATB88yoe3vgpFBV4uYtrnaa4IcMcYlETDbGjKCw0+O2Y/WxalgylYoatjjoZtjoyN4NvIxPZFRHvuEYVWFBvxSLvxyBKMJxyIYZvXsWkNYuJHzqMxBFjHX24a+LwwS9QQaijpdG0NOoaHqsJAo5w1xVLkWgzcEwwdxLOmMcKS1y813vlLpxD4oixZvOfFUuriUTskBuJHXKj4zhuyDBih9zoUkLc1zx9HXujogJeeQW6d7ew6a0UwnoXkjx9M5bJJ8NWI8pPEJWbTU5ohHnvE4JaFIsa1gH+FUv45UXs2WVgufc40tpwvA/hZKkRb/6FPpGu+RCTo5PIq0MXPY1GY9KiTE/NBecSGSXpu6nIOogqKuSZQbe6nPfMoFuZtGYxBhDaJYWKgxnV7mUXBl9F/6xRMcQOudEl6sk+B287Cm8Z0+6Z1c4YBrz3nhm2mpEBl1yi6Hffdyy/pC0HOc1R8vuttMGUhrViXXQ7rMWlWP4dR+WbiZAbAgNKCBt5hDad8plj6eRy/2cG3crENYu5e+Va2vc+l/wqz4v8DyUVro5rUmDUFCbMn1JjyXSNRlMdLRSNROLNI8n513woLXWIhN0n4eyjAJj0v6UQYn5LDunSlcie53Jiz07K9+7CEp+AJdL0UTgTN2QYhjIc0U32RdG+MPpaJA3DcLQaBZjWJd5h5nHuJ2FHKVi92gxb3boVeveG5csV5/86m7wVS/mi/zxKw1rxlu3znHX4ALvaJrH/+66ULmxH5a+R0PsE8lQO0qeMSoTSYguzsgvpWZrH9oh4epbmsShtMN+fc4F5nH6I7RHxDh+F/b/tQiwcrjQcOwX7riOuw7kuEWRaJDQa/2lRQtGcnNn2QoAVBzMQILasxCESzmaoWFVFeEp3onqfR9VZ57gscEfnzzLzMEqLyV+x1JGsJwj5K5Y6zEzOBf/s1LSTmNYlHsBnPwmADRvgoYdg7VpIToa334ZbbgGLRchdEk3s1TfQreAoP7bpZPvcsOvAWaiH4sn/KRy6liMvHIGLSl36SByPjGHMaZE8sukLHolOYp6tCu32iHhG52YQaxUGJXcizipcGtvKIWZxViGv0iAh1OqY54ud40w/jtPn9FUyXaPRuKKd2Y2IYRjsH3EdqsBcwtzzJhQQc9X1tBt9r8P846l2knPRPzt2Z63dzOQP7rWXpnWJJ3RDpuP3Ff07OQRn1y54+GH48EM47TR45BG46y4IcyvhXVVVxbn/3cmO8FjUzjDUK/HwXQS0r+SSW9P533WtkBAP81OKgj5tiYqKwjAMj/NwLpJo/+8TWfkcr6hiRnJrR9b73SvXEr77ByYnWGssoKjRnMp4c2a3qB1Fc+P4e28Q2u4Mym1C4b5chXc7m6LPPsRqtXrtLgfVm/+A/6YV97LZnnYSdiYczOM+awJPPCEsXHiyL8R990FUlP0Lh2s9pwmH8tie3ZqQudFU/DcO4quQe44R//tfeH31i1xf8Bd2tz6j2rzOOv4r4eEdzXsczKs2D/dOeXbyKg1mHy5y5EtMOJjHvMQURp8FiVcPrLFkukajqY4WijoQiEqsSimqigop37vL6zmtuvegVfcefi1odSn658lhbTffOFPRvxN3b83npckWZi8FK4rx48XRF+LxzDxW769ez+mr9Ap+eTUa9VFrKlqZfSHklgIkSpFPDDddejvn52Z6FIr+x7IQ6VetuqyvvhbOyXTuJrNp/Qe65FHonYRG4z9aKGpJsHpbOxPaJQUJDTUd0UOG0fqmmpvq1BZ7HSbnRde+CPd1Ci9VpcIl/zjBjtfjoQB63ljBxy+GOfpCeKrnVJZv4dVpVng/HjEEuSEf7ih0hLna2XlaEhdu2AYpBjj7UAyDyMM/o5QiPsTi4hupKavafk5NLVi1SGg0/qOFohb47G09xLVuUk27DBHBGm2GrTrnPsRefSPW6Bha33yycF8wFjVv377t0UNjEmM489/x/ONx+Oaoha6/K+eraSH07h3m9T4zDxQx6wULanEsFFlIGFJK3ohjhLSvoEqqp+xYLPDPC69zFQnbL1658DqeLy+vdVc5u5/FGW8tWDUajX9ooagF7jWa7IIR3u1sFCeDAvzdZbS+aQQ5811LhYsIrW8e0SDmkWPvLmRicRGzelznGLt8/zZab+jCyvc7MztDuOQSxelzC+jR36C3l/yJykqh+6oE1KOxkGPmQshf8jh6SzseOBTpMXs6HDgvKpxvSioBaF1xgl8vSuH0bzI4FtoKRAizecb93Q14aoTky1Sl0Wj8QwtFLXGu0WQnvHsPClZ84Pidc1SNrzaj9uxs93amSMPUYqoqLuLBknDbMbChFQunncexn9vQu7dixQq46ioBYjzOpapK8cEHwuTJir17BXpXIk+auRAA52/LZmPPdh6Fogw4LzYC43gme6wRHAttRfimnyG0Fa0rTtC9qpSQkKRafSax9c2ujalKo9HUjA6PrSXuNZoAR4kMZxOSP6GXdn+HvSSFXTwkKpo2Qa5B5Pzt+6ql35OzqAsbcn4DZ1Qw+IEylo+PwmqtHpJrZ/jiIlY/14oj20NI7F7JsdHH4KJSOoRaaBtq4YfSyhrncH5kKN/2Pp2qqipTJGyUnd+BkJC6f4cJdttXjaalckrUegpmK1R7uGfWg38lf8VSYofcSMqydcQNGUbBig84sWeny/n+7AgSbx7Jy1fczoSDeY7FLHHEWJ7u/wcez8xzeXagERG+3lZFzOTTWDH9etILk7j0D2to+342pb8rdIjE/QeOu8xl0yb43e8Ub90WzZEcuHJaET3fO0rUADNhzi4SiX78y9peWkFVVRV/z3Qtevj3zIJ6fWbtuNZoAkuLEgql1KdKqbvi4uJqPtn3fVz+nPvOAkdBOftvSndsJXfJAodvovJotss9aiq4Z793fpViVnYh9+0/hlKKATsOMyu7kOMVVQ5xcl+s60tmJowcqdh8fRvy14fT96pNfP67W8j9Pyu5YlBoKAzDcOw48ioNdu9W/PGP0K8f/PADzJihGPtlAf++MJf/lpRTosxifJt6tadPZCi5rgFO1f6hhQPnRYbw98wCh0+h8oLOjG8fw6zsQu4/cFwX7NNomgja9ORG7pIFVBUV0nbUeEcL0ZLtW6g8uM9hYir83xeo/DzHNaFJKVQcyKjma/BmfnKPjrpoWzYbi137TfSJDOXahAiHkHgqn1FbE0tuLjz3HMyebZ7b68qDFN34C3u7d3Cck1BcwPGok63QR6hYZGE8CxcKERHwtyu38LfL15N0918BHD0ffNEnMpQfPPSMGN8+hjirkF+lalV8UKPRBAedme0HSilKvt9A2d5dKKWwiMXhd5C4eK99HqL7XYLR81wSR4x1iYySyKhqC7enPIzeh3ax0VbLCE4urPbF1ZNI1Ka6a3ExzJwJU6dCYSEMHw5TpsDUnzJ5Lbazy7l2kbD3hVj8QSxVVcKYMfDgg5WEfvZf8pcv5WirCp4ddJtf7/XXskrahFjIqTy5zegbGUqcVZjSOaFW4a8ajabhaVGmp0DQqvs5ABSuXObisFb5ebjvvezHRkkREhlF7sI5Lr4GVVJM7pIFJ893ysNw9EZYOIey/Xtd7uv+7dvewtP5PvZkObuJxtlMZN8l2vtCpKaadZkGDoQff4SFCxVdusCnIXGIUeX6mUqVS1+IpMHl/PSTYvr0Kgbv3sH1XS8ldugwHiwJZ1Z2IcM3r+KXnR+7JOmBKXbl/TrSJyKEI1XKIRLj2kUzvn0MW0sqyK9SHndBWiQ0mqaF3lE4ISK0GWXLk3DrNT374utdelqHJqcyY9wLhG3bzF0LnyYsOZXy/WZ70jYjx5G7cE61EFn3PIy85Ut5ZtCtvJU2mHHtopl9uMjjvM7fls01CREu3769laqYnpSAUsKSJWahvowM6Nyvkj/NLmHJjTE8kZXP6weqeP9IEdkRsdhLtqpK4NNo1MI4yAkh9MICKu8uYk9KBTNVNF+sy2JnRDxtThSRMPxvxM6cw/DNq5i4ZjHPTv+QrdlF9CzNI1oUJ1qfxtaSCh44lM+mXu0J25jl+Cz2Eh+gQ1Y1muaCFgoPKLe9g3NPa2t8ayZ/v5Ipyf1ZlF3EuF5pxA4dhiUyiohz+rok4nnyUTjnYdjLi49rVz37OlLgeFoH+u844ugJffc3HyJOZqtpXeJdchSmdUng88+FiRNhyxbo3Vvx6afwnx4FzD5cyL37ytlYXHHSHyKCMoAvI1GvxUNmKPQ+Qfijv3BWp/1sa5cEYAqYrV2ptbKSMau+4u9ff+h47v/2HeI3wOI595AwdBitLx3DA4fyibMKDxxyjUCzZ0lr85JG03zQzmwnlFIcnT/Loy/C2qUrz/1uOK87+RLuKjjE3N8PAHD4CTJuuMzx+5Rl6zw6sh2JdZgi9OKoKbyemML49jHEWuDVI8XV7PlD4sI5sv0HR7nsxBFjuXvlWkefBrUjjA7z25C1PpSkJDj33mI6Dy1jRldz53Hf/mMuOxalgI2tUK/Gg70vxN/y4KJSEovzKGgVRWWIqzkJQAwDZbFwZ24GT2Zv58HScBalDeb2zat4PqKMtqPGOcp7Ozc7cm9+NK1LfLUeGRqNpnE5JfIoAkGZLR8ibsgwEv50B2FJZhMka1g4c6+6zOXcub8f4DAp2QXAGfcQWWeRiBs6jJRl64gfOozw3T8wOjeDFzvH8XiX1mT2aedynw3nnEahEuYlplB2Vh+OL1/KqJfnMS8xhWFbf+W6FzqjRp9O1m4LAx8rZtcugy7XljH7SKGj7pGLj2NnGOqe01D3tYN8K/JIDvLmr8jFZi7EaQU5VFmsXt/RHTnpvJ6YwunnXOfoyvfwmsUOkQCwWCyOLOk4qzDhYB7TusS7HAcy5Fej0QQPbXpyQkSQsDDCklJJHGlmS8f/6f/4+YHRSFiYVzMKUC0k1nnX4NyG1N4r2z728hW3U/7jFmJtZhr7jsIZe9ayvVz2vvkghy2k3F/C0o39iYoSpkxRrLzyKCciFeHhkR59GOpgCOqf8bA2ytEXgusLEbdmQ7/EnVbNcW9HAS9fcTFvbDnsGLP7bdy7xj3WKd5lZwE1t1XVaDRNjyYvFCJyNnAP0Ab4Qin1SrCepZQiPLkb+cuXkrtwDm1GjuPYGy9TdiCdaaOmMM+DGQXMxc9dALw1x3FuMmRPuJuXmGJWbc0uxKoMqsRCK4ETbqv1C51iSZ89j+e3/43Fn9yAQhg9aCtPLO5L27ZwfH8osw8XOQTMvptRR6yo+XHIymhCW0GFU18ITxRGRPl8T+6COXf6R0xc83Y1YQRzZ+HL8a5FQqNp+gTVRyEiC4ChwBGlVE+n8cHATMAKvK6Ues6Pe1mARUqpGoP365Nw5+5DANMp/fIVt5NfpRwJYs49mvOrzL4Jj3aMq3WNIefQVp/nlQppb1Sw+53TKKqKZvhwGN/jDWK/XUjc0GG0vmMMFovF5V72XAjejwFD6HvbCazD89nSqoxIoEQpR9STMxHlJ6gEKsJaVZ9IVSVYQ7ir4BCPZ23h2UG3OXYHE9e8jdVLxVyllEtyXuUFnbVIaDRNDG8+imALxaVAEeYC39M2ZgX2AFcAWcAm4BZM0XjW7RYjlVJHRORa4G/AW0qpf9X03PoWBfTmlK7JQVvXb8jui6jL7yqBT6KxvhFPZY6VLv2P8slrifTufbKI4HMhbSlObMdcW6tP69pMeC8G9XYcFAu33wYho/N5MySf/tFhnB8ZyvMdY+i8bic5Ma2rPbN14TGORSd4FBGU4i+J4bzcvb1jyJ7o5y6Uzp/PXQz1jkKjaXo0Sma2UuorEUlyG+4HpCul9tkmtgS4Tin1LObuw9N9PgE+EZEVQI1CUR+8OaXbjBwXcDOKXaTdG+0AZtjqF5GoefGQFcoFAxRn3FPA2f1C6N35ZEvP1neMofizdcxLTKHqk3Xs23E+6qUzzL4QF5fw54fLeHNwPBBH3AHDsaAbhuE1kqGmCIeXkhNdPqs/jYR0jwiNpvnSGD6KDkCm03EW0N/bySIyELgBs47cSh/n3QXcBdC5c2dvp/nEPSrJm1PaU6tNT/fytQDaS3AopZh9uIg+ESH8UFpJq6pKSjdFm2Gre8IhpRx54Qg9ev7EK7+/2NPnpl3Pc+kwv4DX3xgAWaHQ6wRdJx+g7cAIlpRUctoB5TF3YXD69yw693fV7jl473cs7XkJJzyYnlpVlNUqk1r3iNBomj9N3pmtlFoLrPXjvNeA18A0PdXlWZ6iktyd0p5abV68PZt+UWHMSG7tV2E75xIcHUKt9IkIIdxiQe0Io2JOIuqHaDijAnksB64oRiywKdfCoB2HKTAUm3u1x2KxYBgG3V87xqGZsVTsTjBzIZ4/AheXckBCuTY2ggtilMcF2WKxYI2vLnAA1vgE4spKPApFXFkJVqv30FlP1LadqUajaVo0hlD8DHRyOu5oG6s3InINcE1qamqd7+EclWS7p0sBP29mlA1FZrbzjOTWLud4q2XkbMLK2huCei0W1kZRkVCJ3H+MMy/Yzof/mswNfZ/kp3ZJZEfGkX2iksOVBmnbsnnlRHt+N76coo1tsJ5eSYcHD/HLUIXY1vCepXm82LkjFovnb+0iQkbvC2lTUkFO1UldbWMV9vW+kHZ7d3PYg/+iXdFx02xVy2Q5Xc9Jo2m+NEbC3Sagm4gki0gYcDPwSSBuHKh+FN4WNW9mlPHtY+gXFcbsw0WErD/kl3NbRLjPmoDxbGvUbWfAxghkVB7y3i/IsEJy4+O4+bbH+MlWRkNhFtBTB0PYcl8cF1xgoWhPKHLPMVov2sev150UCYDtEfGM+Wyd154OhmGQX6VcRAIgp0pRYCgU5rxH5aRT0b8To3LMOlaC6IxqjeYUI6g7ChF5BxgItBGRLOAxpdR8ERkLrMaMdFqglNoRoOfVe0dRE97MKODam8GXSBw7Bs88o3hpNqCi4Y+FyPB8JOFk2Y7c6Hhyo+MBCKsoo+poCEdnJsCKaAhX4JQLYa1UnFOaxw5bPSYwdxSxVu+LuogQ7uVLfbgIl0RAv5x0Xh1yORaLhVeHXA4rviQhwqKFQqM5xdC1nmqBt0ZB/oZ/2vtCPP+8Ir8AuKqYvmOLyUo4wTEvfw32XAh5PwZliJlJ/X/5SGuj2rnu5rCadjWPZ+ZxvKLKpQbUuHbRJIRaHVnVzqJQF5OTRqNpPujGRTVQU7c450ZBdu4/cNyRcOcr/LOyUnj9dXjiCcjOhmuuETqOL2DLaUXsO1HJMdeWEObzT4iZC7E4FoosxF16hPxxlcgZlR7nP6ZtZK2jih7tGFfNMS8iPNrRNN25i4IWCY3m1KRFCUVdTU+eus7lLJiNxZZl7ByltKGojH5RYYiIQxyW5hTRLsTiaDA0rUs8XxWcYEthOe++K0yebPaFGDAAli6Fiy8GpWK4aFsxOVUKC2DfH6hKYHk0akGcIxdC/pJHQWoFvty/zs2N/Ikq0vkNGo3GX1qUUCilPgU+TUtLG12Laxxd54BqPa/tO4s4q9AnMpQNReWOCKc+kaF8W3CCXyoVYC68ZtRTHlvWWGkzP5FbdkCvXrB8OVx9tWuyc//oMDYWl2OAx74Q8mQO0qfMVhPc+6IdAtVCVmta5HV+g0aj8ZcWJRR1QUSQyCjCklNdmg6FJac6el7bi/e5tyi1H49rHw3KbPAz68ty1NwE+L4VUUmK6W/BLbeA8zpuF58Zya1ZX1jGxrVWM8Fudzgkn8yFcKzVNSzaVUp5jW7yhd0P4bwT0X0iNBqNOy1qRRCRa0Tktfz8/JpPtqGUQpUUO9qY2infn44qKXYs6tO6xFfrC21nRlJr7iyJw5jUBnXn6bAvlBkzqti9W7jtNleReDwzz9HneuNGxY67WqPubQd5VmRyDrLoV2RAaTVtsFZW2nYWHj4DUFnp2Xfhi8cz85hwMO9klVmldJ8IjUZTjRYlFHXJoxAREkeMJSzZ1a8RlpxK4oixjh3FhIN5jpakLs88YqXt4CP06mM9mQvx/s/M776JiUvecZ8feZUGMzeU0n1IuUsuhCz5Gbm62CUXwpmYsmLPv3D6HLXB2e9iFy67j8JeWkSj0WhAm55QSpG7cI7HHUXuwjkkjhjLkz8XsL6wzFGPCcyw1ci34yh5P4ZcA/hjIWdet4ftf+zLuZ/vZmfC6Y5v+iEh5mv+5Reh6JkEWJhAulMuRLtY+FNiFB8cK+HXSs8LdJXV6tMEVVuhcM8O130iNBqNN055oRARLJHRhCanUmETC4W5o3jxjF6UH8zDUAYbi00HdtsKKyVLoil8K5biYqHbb48QdZ8iPbqAvaFtzW50Cadz9vFfie7Qmad/LWJcVDxTp8KsWVBVJYz5m+LlwT87ciF+TuuEiPBCp1ji1x+gLDS82jzLLSGm6cnLAl5VVUVoqGfTmK/PPq1LvEv+h3P0lEaj0UALE4q6hMcqpZga1YGjyf2Zek5f5l5xO7/8uIXy/XvZERbP99mF9IkMIaK0jJLPEjm8MA5yQ+jc7yghfz5Am+RSrjinJ58cj+LH0pN+gtAzOrHxWCUhi8N4aZ4iP9/0V0yZopgtx5HskwlzEw7mOb7FW+po8qmq8pCMUQNTDh3n0+OlLmPnb8vmmoQIpnT2XDBQo9GcepzyPgqAwvBIFqUN5plBt7I6r5T5iSm8lTaY8yqL6B0ewtaPwygenox6MRE6ViKvZnP5bcs40O80elkqOV5Z5SISqhJ+eKcV1j914OsXIrn4YmHrVnjzTVMk7LkLlRd0Znz7GIefQEToluO5PmK3nCyfn8Ewqmdq13T+p8dL2VpSQd/IUCr6dzLbsZZU8Onx0lrfT6PRtFxa1I6iLogIc38/gFZuJTiUgtd2dq/WF4KLzIiktxjMWcd/JcYCx/+3BrpfYOZCrI1E/TMeMkNpnZrDu+8nMHCg3UPtO3fBarUSktjG4zytrT2P26ltSKvFYuGahAgAtpZUELrBbBHSNzKUaxIidIisRqNxoGs92XBuR6p2hKFeMXMhOL0SGZ1n9oXwEJHUt+QYl2XtZuf201m9/EIzF6JrOfLXPPr2yOC7qy+oZvP3VS5kyqHjfHysxGWH0jsihCsjLbyQU+a1PWler0RiYmJq9ZnB3FnYRQKgon8nLRIazSmKt1pPekXgZDkLdSDEzIUYbeZCyL3HkHd+pv3QEtoYJzxeW/JTBJtfuJTVLw40cyEeyUHe/JUe5/3KD63PcISeOuOtjLk9se/H0kqGb17F7udvZ/jmVfxYWkmBAtPN7vET1LlX94SDeS5jznkVGo1GAy1MKOqacHfx9mxmZRfS7V9tsGyMQO40cyHkT4VIGByuVByzhrledzAEY3Ibdo85i29/Pg259xjnLNxJxWMJjM7LYFdEPG0rThBnlVot4qHbNjF88yqmRpaRumwdUyPLGL55FeE7t+K9jEfte0S413py95dosdBoNHZalFDU1ZltXxMHTCymzbJfkJH5SJSiX1QovVrZ7E22NVodtWI8Z2s2tD6CyOFH6LsiB/lTIWl7v2XfsMsp378XgOT4GI+tUL0hIjxY8jNTI8toaytQ2HbkOKZGlvFAwQFCqzxnX4dWVdYpj8JbEyZd60mj0TijfRSY367v23/MpS+DM30iQzjx4wF2re4J78eAIfCHQuSOfG7/+UsWjLqV+w8eZ87hk9nTY9tF8VJyol8LrrvPoqqqyqXIn2EYVFRUcMHy//HjGancvnkVD69ZzNODbuWttMH0/iWd9UMHEB5ePf+its/21LpVo9GcGuh+FD6wF+jzJBTqhHDjmvZMfq49FFvgymLkznxHX4glsRfRbvU6Co8ehe4XOK4r/O8XPPTTaUy96nKfz3YvcT7l0HGyf9zCU0UHaGMrcT7hYB4xorh0/4/0+SWdh9csRoCH1ywGIK6sBIvl0jp/dl/HGo1Go4WCk/Z6lzGnvhCTc6zIRcXw13wk1bXek2Gx8EZ4W3K7p7iMv9n9AtqVFPCM2+7A/bnOJc4TR4wl+8ctzEs07zXXMJhwMM/hRxj73So4UerwVNjFQlpFEBp6X73fg0aj0XiiRQlFXTOznZ26RpVi9hLD0Rfi9N9UkP1ENq3OKfBYWiO+tIjcyFiP9z4c4TtcVURoM3IcgKPE+QSAUVOYl5jCPFvY6vj2MbzYOY6fT+9QrSaVAGGnd9BtSjUaTdBoUStLXavH2p26V6cn8P4NcahH2pIYIdz8ehFZm0IYPziUUKOK+OICl2vjiwsIrfLeeU7MOdX4fLtY2K+Ze/VAl3OmJyVgtVqRiEgssa6fzRIbZ45rkdBoNEFCry6YDXymJyWwbJkQVhDCG28osndYeWdUNBaL8ELHWP6w7b/kRbnuHPKiYvndnu/A8FxnSYyqGhdwe9tVxzFw98q1Lufcf+A4hmHQqmt3jIJ84oYOI2XZOuKGDsMoyKdV1+46nFWj0QSNFmV6qg8iwnPPwUsvQXi46x7BMAxWnH2hx+tWnH0hyuLZB2FYrFRUVHiNRrKLhL3tauKIsdy9ci3zElMYnZvB3KsHOnwUAA9HRRM3dJjD8W3fiViiorUTWqPRBA0tFE54s1iFhoYSYVRAcQHHnXYVCcUFtDIqyPNxT18LuIhgcVv82/c+l9G2qCeLxeJSC8oeBeXcutR+nUaj0QQLnUfhB4ZhsG/kH3jyvCG8nTbYMX7b5lX8Y/Nyev9lttcaTCXnnV5jfoN77oK7Y1rnNmg0moZA51HUk6cvupG3ew1k+OZVTFqzmGcG3cqitMEYYbVPcnPHXQTc/RpaJDQaTWOihcIPlFLEFuVzu00kBJi0ZjEKiKgo83mt7uug0WiaO1oo/MBisbCh01kUhoYTM+RG2o0az+H5s9jU5ixa1SAUFRUVRERENNBMNRqNJvC0KKGoS8KdPyilKG17OrvDYxmS3I1NSjHk/D+yu6SCM8sKarxWo9FomjMtKo+irtVja8JisbDl0nMcrUJDN2Q6Woh+07eTz2u1f0Gj0TR3WpRQBBOLxcKmXu1dxjb1ak9IiO9Nmc6Y1mg0zR29ivmJYRicvy3bZez8bdmms9qbeUmbnTQaTQtAC4Uf2EXCbm6q6N/JYYa6eE+e5xwKABHto9BoNM0eLRR+YLFYiLVa6BsZyqZe7R1mqL6RobQO81y+w463EuMajUbTXNBC4Sdf9mzvEAk46bNY1a01Yts1hFeUseP52wm3hcyKzqjWaDQtAC0UtcDdMW2xWAgPDyeqvJTwijK+n3EnIcD3M+4kvKLMHK9De1KNRqNpSrSoPIrG4rt/3kNlWZnjZdrFIiQ8HC5b3ZhT02g0mnqjdxT1RESwRsZUU9wQwBoZo01PGo2m2dMshEJEokRks4gMbey5uKOUQinPjYuUqtJRTxqNptkTVKEQkQUickREtruNDxaRn0QkXUQe8uNWDwLvBWeW9cNisRBzxTVIjGv3O4mJJeaKa3TCnUajafYE20fxBjAHWGQfEBEr8DJwBZAFbBKRTwAr8Kzb9SOBPsBOoFWQ51onlFJQWoIqdK35pAoLzHEd+aTRaJo5QRUKpdRXIpLkNtwPSFdK7QMQkSXAdUqpZ4FqpiURGQhEAT2AUhFZqZRqMrW7RQRLZDRhyamU7093jIclp2KJ1C1KNRpN86cx7CIdgEyn4yzbmEeUUg8rpe4F/gXM8yYSInKXzY+x+ejRo4Gcr0+UUhglRZTvTydu6DBSlq0jbugwyvenY5QUaR+FRqNp9jSb8Fil1Bs1/P414DUwW6E2xJzAc9/rNiPHAWCJ0jsKjUbT/GkMofgZcK7N3dE2Vm+C1Y+iJhJvHunii7CLhRYJjUbTEmgM09MmoJuIJItIGHAz8EkgbhysfhT+4C4KWiQ0Gk1LIdjhse8A3wJnikiWiIxSSlUCY4HVwC7gPaXUjgA97xoReS0/Pz8Qt9NoNBoNIC3R2ZqWlqY2b97c2NPQaDSaZoWIfKeUSnMf19lgGo1Go/FJixIKbXrSaDSawNMiTU8ichQ46DYcB3hTEG+/8zTuPuZ+3AbI8Xuy9cPXZwrktf6cq99v/a6v6dxgvV9PYw31jvX7DS51eb9dlFJtq42aRe1a/g/wWm1/52ncfczD8eam8JkCea0/5+r3G9x3HKz325jvWL/fpv1+nX9alOmpBj6tw+88jbuP+bpvsKnPs2tzrT/n6vdbv+trOjdY79efZwcL/X6DS8Ce2yJNT42JiGxWHqIGNIFBv9/go99xcGmO7/dU2lE0FK819gRaOPr9Bh/9joNLs3u/ekeh0Wg0Gp/oHYVGo9FofKKFQqPRaDQ+0UKh0Wg0Gp80m34UzRVbh74ngR3AEqXU2sacT0tDRCyY7zcWMz79zUaeUotCRC4BbsVcK3oopS5q5Cm1KESkMzALOAbsUUo918hT8ojeUdQBEVkgIkdEZLvb+GAR+UlE0kXkIduwAoowe35nNfRcmyO1fL/XYfY0qUC/X7+ozftVSv1XKfVXYDmgRdgPavnvtxewVCk1Eji3wSfrLw2RIdjSfoBLgd8A253GrEAG0BUIA37A7PNtsf2+HbC4sefeHH5q+X4fAv5iO2dpY8+9OfzU5v06/f49IKax594cfmr57zcR+BJYA4xo7Ll7+9E7ijqglPoKc6voTD8gXSm1TylVDiwBrlMne3wfB8IbcJrNltq8X8xdxHHbOVUNN8vmSy3fr908kq+UKmzYmTZPavl+RwCPKaUGAUMadqb+o4UicHQAMp2Os4AOInKDiPwTeAuY0ygzaxl4fL/AMuBKEZkNfNUYE2sheHu/AKOAhQ0+o5aFt/e7ChgvIq8CBxphXn6hndlBRim1DHMx0wQBpVQJ5kKmCRJKqccaew4tFaXUdmBYY8+jJvSOInD8DHRyOu5oG9MEBv1+g4t+v8GlWb9fLRSBYxPQTUSSRSQMuBn4pJHn1JLQ7ze46PcbXJr1+9VCUQdE5B3gW+BMEckSkVFKqUpgLLAa2AW8p5Ta0ZjzbK7o9xtc9PsNLi3x/eqigBqNRqPxid5RaDQajcYnWig0Go1G4xMtFBqNRqPxiRYKjUaj0fhEC4VGo9FofKKFQqPRaDQ+0UKhOeURkTtE5Ayn49dFpEcA7pskIn+uw3VviEi1sg628f0istX2M942fkBE2ridGyYiL9lKWu8VkY9FpKPT76ts99guIu+LSGRdPqPm1EALhUYDdwAOoVBK3amU2hmA+yYBtRaKGvi7Uqqv7WeWj/OeAWKAM5VS3YCPgGUiIrbfl9ru0RMoB/4a4HlqWhBaKDQtEhG5TUQ22r41/1NErLafN2zforeJyH22b+5pwGLbuREislZE0mz3KRKRF0Rkh4j8R0T62X6/T0SutZ2TJCL/FZHvbT/2LnDPAZfY7nuf7fkviMgmEflRRP5iu15EZI6tqc1/gNPq+dkjMctX36eUqgJQSi0EyoBBHi75L5Ban2dqWjZaKDQtDhE5G7gJuFgp1RezT8WtQF+gg1Kqp1KqF7BQKbUU2AzcavuGXep2uyhgjVLqHKAQeAq4ArgeeMJ2zhHgCqXUb2zPtX/Tfwj4r+2+MzCr3OYrpc4HzgdGi0iy7V5nYjayGQ74ajf6gpPpqZeXc1KBQ0qpArfxzcA5bu8qBLgK2ObjmZpTHF1mXNMS+S1wHrDJZmmJwFzMPwW62npXrAA+9+Ne5Zg9A8BcTMuUUhUisg3TtAQQCswRkb6YotTdy71+D/R28j/EAd0wO6K9Y/v2/4uIrPExn7/bxK2+RIjIVtuf/wvMD8A9NS0ULRSalogAbyqlJlb7hUgf4EpMm/yfgJE13KtCnSyIZmCab1BKGbZv4wD3AYeBPpi79BM+5jVOKbXabU5X1/iJakcG0FlEYty60p2H2fsabD6KAD9X00LRpidNS+QLYJiInAYgIq1FpIstMsiilPoAmIzZ1xhMk1JMPZ4XB/xqa3t7O2Z/ZE/3XQ38TURCbfPqLiJRmJ35brL5ME4HLq/HXFBKFQNvAtNFxGp71nAgErM3s0ZTK/SOQtPiUErtFJHJwOciYgEqgDFAKbDQNgZg33G8AbwqIqXAhXV45FzgA9tivAooto3/CFSJyA+2Z8zENFd9b4s+Ogr8AfgQ08m8EziEWaK6tvwoIvb+7O9hfrYXgT228d3A9U67I43Gb3SZcY1Go9H4RJueNBqNRuMTLRQajUaj8YkWCo1Go9H4RAuFRqPRaHyihUKj0Wg0PtFCodFoNBqfaKHQaDQajU+0UGg0Go3GJ/8Pbmb9SQy8TDQAAAAASUVORK5CYII=\n", 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" ] @@ -1303,11 +1422,11 @@ }, { "cell_type": "code", - "execution_count": 187, + "execution_count": 37, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T11:13:48.884783Z", - "start_time": "2020-10-09T11:13:48.881981Z" + "end_time": "2020-10-11T03:41:01.528110Z", + "start_time": "2020-10-11T03:41:01.526254Z" } }, "outputs": [], @@ -1318,11 +1437,11 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 38, "metadata": { "ExecuteTime": { - "end_time": "2020-10-09T12:14:46.211984Z", - "start_time": "2020-10-09T12:14:45.839810Z" + "end_time": "2020-10-11T03:41:02.244164Z", + "start_time": "2020-10-11T03:41:01.954889Z" } }, "outputs": [ diff --git a/analysis/spec/qtensor_specs/time_vs_flop.py b/analysis/spec/qtensor_specs/time_vs_flop.py index 70ffd972..7c6cb6a8 100644 --- a/analysis/spec/qtensor_specs/time_vs_flop.py +++ b/analysis/spec/qtensor_specs/time_vs_flop.py @@ -7,6 +7,7 @@ import sys import numpy as np import matplotlib.pyplot as plt +import scipy import qtensor as qt from cartesian_explorer import Explorer @@ -36,15 +37,19 @@ def tn(circuit): return qt.optimisation.TensorNet.QtreeTensorNet.from_qtree_gates(circuit) @ex.provider -def peo(tn): - opt = qt.optimisation.Optimizer.DefaultOptimizer() +def peo(tn, ordering_algo='greedy', tamaki_wait_time=15): + if ordering_algo=='greedy': + opt = qt.optimisation.Optimizer.DefaultOptimizer() + elif 'tamaki' in ordering_algo: + if '_' in ordering_algo: + _, time_str = ordering_algo.split('_') + tamaki_wait_time=int(time_str) + opt = qt.optimisation.Optimizer.TamakiOptimizer(wait_time=tamaki_wait_time) peo, _ = opt.optimize(tn) return tuple(peo) @ex.provider def sim_costs(tn, peo): - opt = qt.optimisation.Optimizer.DefaultOptimizer() - peo, _ = opt.optimize(tn) costs, mems = tn.simulation_cost(peo) return costs, mems @@ -98,16 +103,22 @@ def plot_with_filter(est_flat, times_flat): # Fit times log_fit_coef = np.polyfit(np.log(est_flat_filtered), np.log(times_flat_filtered), 1) fit_coef = np.polyfit(est_flat_filtered, times_flat_filtered, 1) + def fixed_slope(x, shift): + slope = 1.0 + return x*slope + shift + popt, pcov = scipy.optimize.curve_fit(fixed_slope, np.log(est_flat_filtered, np.log(times_flat_filtered)) print('Lin fit:', fit_coef) print('Log fit:', log_fit_coef) + print('Slope-1 log fit:', popt) fit_fn = np.poly1d(log_fit_coef) + fit_fn = fixed_slope # Plot scatter with filtered data plt.scatter(est_flat_filtered, times_flat_filtered, marker='x') min_x = np.log10(est_flat_filtered.min()) max_x = np.log10(est_flat_filtered.max()) + .5 xfit = 10**np.linspace(min_x, max_x, 100) - plt.plot(xfit, np.exp(fit_fn(np.log(xfit))), color='blue') + plt.plot(xfit, np.exp(fit_fn(np.log(xfit), popt[0])), color='blue') plt.loglog() plt.xlabel('estimated FLOP') plt.ylabel('Runtime') @@ -141,9 +152,16 @@ def cli(): @click.option('-B', '--backend', default='numpy') @click.option('-M', '--max-memory', default=3e8) @click.option('-s', '--seed', default=SEED) +@click.option('-O', '--ordering_algo', default='greedy' + ,help=("One of (greedy, tamaki, tamaki_{wait_time})" + "'tamki_15' means heuristic solver running for 15 seconds per graph" + ) + ) @click.option('--min-memory', default=3e6) def time_vs_flops_plot(filename=None, backend='numpy', seed=SEED, - max_memory=2e8, min_memory=1e6): + max_memory=2e8, min_memory=1e6, + ordering_algo='greedy', tamaki_time=10 + ): """ Plots times and estimated FLOP for each step of several QAOA energy computation contractions. @@ -157,12 +175,13 @@ def time_vs_flops_plot(filename=None, backend='numpy', seed=SEED, p = 3 N = 1000 - edges_to_try = 30 + edges_to_try = 20 estimators, maxmems = ex.map_variables( ('step_flops', 'max_mem'), d=ds, edge_idx=range(edges_to_try), n=[N], p=[p], seed=[seed], + ordering_algo=[ordering_algo], ) @@ -173,9 +192,10 @@ def time_vs_flops_plot(filename=None, backend='numpy', seed=SEED, estimators = estimators.T[selector] times = ex.map_variable('step_sim_time', d=ds, - edge_idx=edge_indices, n=[N], p=[p], - seed=[seed], - backend=[backend] + edge_idx=edge_indices, n=[N], p=[p] + ,seed=[seed] + ,backend=[backend] + ,ordering_algo=[ordering_algo] ) est_flat = np.concatenate(estimators.T.flatten()) diff --git a/run/automake/qsub_entry.sh b/run/automake/qsub_entry.sh index 77152c3c..157ffaad 100755 --- a/run/automake/qsub_entry.sh +++ b/run/automake/qsub_entry.sh @@ -10,4 +10,4 @@ lscpu echo $PYTHONPATH echo $PATH echo $SHELL -qtensor-specs-time-flop-plot time-vs-flops-plot results/time_vs_flops.png --backend=mkl --max-memory=5e10 --min-memory=1e6 --seed=111 > results/time_vs_flops.txt +qtensor-specs-time-flop-plot time-vs-flops-plot results/time_vs_flops.png --backend=mkl --max-memory=5e10 --min-memory=1e6 --seed=111 --ordering_algo=tamaki_10 | tee results/time_vs_flops.txt