{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Benchmark\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "from sigmaepsilon.solid.material import ElasticityTensor\n", "from sigmaepsilon.math.linalg import ReferenceFrame\n", "from sigmaepsilon.solid.material.utils import elastic_stiffness_matrix\n", "from sigmaepsilon.math.logical import isposdef, issymmetric\n", "from sigmaepsilon.solid.material import (\n", " ElasticityTensor,\n", " LinearElasticMaterial,\n", " HuberMisesHenckyFailureCriterion,\n", ")\n", "\n", "hooke = elastic_stiffness_matrix(E=210000, NU=0.3)\n", "assert isposdef(hooke)\n", "assert issymmetric(hooke, 1e-8)\n", "\n", "yield_strength = 355.0\n", "\n", "frame = ReferenceFrame(dim=3)\n", "stiffness = ElasticityTensor(hooke, frame=frame, tensorial=False)\n", "failure_model = HuberMisesHenckyFailureCriterion(yield_strength=yield_strength)\n", "material = LinearElasticMaterial(stiffness=stiffness, failure_model=failure_model)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "from time import time\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import cupy as cp\n", "from numba import cuda\n", "\n", "def measure_execution_times(store: dict, key: str, stresses, num_eval, device) -> float:\n", " store[key] = []\n", " for _ in range(num_eval):\n", " _t = time()\n", " #material.utilization(stresses=stresses, device=device)\n", " failure_model.utilization(stresses=stresses, device=device)\n", " store[key].append(time() - _t)\n", "\n", " return np.average(store[key])\n", "\n", "\n", "def create_measurements(num_eval, num_points):\n", " times = {}\n", "\n", " stresses = tuple(np.random.rand(num_points) for _ in range(6))\n", " measure_execution_times(times, \"v-cpu\", stresses, num_eval, \"cpu\")\n", "\n", " stresses = tuple(np.random.rand(num_points) for _ in range(6))\n", " measure_execution_times(\n", " times, \"v-cuda-numba\", stresses, num_eval, \"cuda\"\n", " )\n", " \n", " stresses = tuple(np.random.rand(num_points) for _ in range(6))\n", " measure_execution_times(\n", " times, \"guv-cuda-numba\", stresses, num_eval, \"cuda-guv\"\n", " )\n", " \n", " stresses = tuple(np.random.rand(num_points) for _ in range(6))\n", " stresses = tuple(cuda.to_device(arr) for arr in stresses)\n", " measure_execution_times(\n", " times, \"v-cuda-numba-kernel\", stresses, num_eval, \"cuda-kernel\"\n", " )\n", "\n", " stresses = tuple(np.random.rand(num_points) for _ in range(6))\n", " stresses = tuple(cp.asarray(arr) for arr in stresses)\n", " measure_execution_times(\n", " times, \"v-cuda-cupy\", stresses, num_eval, \"cuda-cp\"\n", " )\n", "\n", " stresses = np.random.rand(num_points, 6)\n", " measure_execution_times(times, \"b-cpu\", stresses, num_eval, \"cpu\")\n", "\n", " times = {category: np.array(data) for category, data in times.items()}\n", "\n", " return times\n", "\n", "\n", "def plot_histogram(data: dict, n_bins):\n", " max_execution_time = max(np.max(arr) for arr in data.values())\n", " bins = np.linspace(0, max_execution_time, n_bins)\n", "\n", " for category in data:\n", " plt.hist(\n", " data[category],\n", " alpha=0.8,\n", " label=category,\n", " density=True,\n", " histtype=\"barstacked\",\n", " rwidth=0.8,\n", " bins=bins,\n", " )\n", "\n", " plt.xlabel(\"Execution Time\")\n", " plt.ylabel(\"Frequency\")\n", " plt.title(\"Execution Time Distributions\")\n", " plt.legend()\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "2.9907253269916767\n" ] } ], "source": [ "times = create_measurements(100, 100)\n", "plot_histogram(times, 40)\n", "ratio = np.average(times[\"v-cpu\"]) / np.average(times[\"b-cpu\"])\n", "print(ratio)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "ratios = {cat: [] for cat in times}\n", "\n", "nums = [1000, 10000, 50000, 100000, 500000, 1000000, 10000000]\n", "nums = [80000, 200000, 500000, 1000000, 10000000]\n", "\n", "for num_points in nums:\n", " times = create_measurements(10, num_points)\n", " avg_ref = np.average(times[\"b-cpu\"])\n", " for category in times:\n", " ratio = np.average(times[category]) / avg_ref\n", " # print(f\"Ratio for '{category}': {ratio}\")\n", " ratios[category].append(ratio)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for category, y in ratios.items():\n", " plt.plot(nums, y, label=category)\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for category, y in ratios.items():\n", " plt.plot(nums[:2], y[:2], label=category)\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for category, y in ratios.items():\n", " plt.plot(nums[1:3], y[1:3], label=category)\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for category, y in ratios.items():\n", " plt.plot(nums[2:4], y[2:4], label=category)\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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/tDckJASzZs3CtGnT8P333+P1119HfHy8xZf2cp4RIjJU1eRv5V1AxVVNKV/GcPI3w9aVepv8rThX37VjGFAyk/VdQOYobfVX8RgGFJ8ugEsg50ehBq3OJj07fvw4Bg0aZLI8MjISu3fvxtSpU3H9+nUcP37caJ033ngDSUlJCAgIwPLlyznpGRHViUY9+VveHYMZZsuDSjJQkme+vK2TfgyKYUDx7gK08Ky7OhJZgdPBExGZ8aDun+ru/SPL5G86HZB9w/Sux3dTAV2p+XVaeBvPMOvdRT8eRe1Y+/UjqgbDCBGRlRpV94+2FLh32XjAbGYS8Od1oKpA5drazHiU9oDKtvbqRWSAYYSIqBbVWfePYyB8HWux+6ckX3/JsWFAyUwC8jLMl1fYAJ4dKt1UMFgfXBR1PhUVNXEMI0RE9ajBd//k3zM/HqW4ihmubVqYH4/i+KAZa4kqMIwQETUQ5rp/pNBiRfePuZaVh+r+EUUg+6ZxQMlIAu6mANoqJqRz8DQdj+IdDKidalYHatIYRoiIGoE66f5xLLv6p6bdP1oNcP+K8V2PM5P1NxWsqoXHpVVZODHo7vHsAKjkm9WT5McwQkTUBOSU5Bh1+cja/VNSoG81yTC4siczCci9bb68QqUfIOsdDHgbzDTr1objUZoJhhEioiauwXT/FNw3Hixb3t1TVauOjQPg1akioEjjUXw4iVsTwzBCRNSMyd79I4pAzh+VxqNc0M88W1VIsnevGINiOB7FzqWG7wLJjWGEiIiqJFv3j04L3L9mHFAyk/VjVESd+XWcAyoFlC766fFteLPTho5hhIiIaqQ2un8qt6o8sPuntFA/q6zRTQWTgJxb5nciKAD3dsYBxbuL/maFCmUtvAtUGxhGiIio1tV7909hVtkkbgYBJeMCUJRlfgcqu7LxKF2M50hx8uV4FBkwjBARUb2rl+4fUQRy042v6MlMAjIvAppC8xu3c60Yg+IdXDEtvr1b7b8JJGEYISKiBuVhu3/c7dxNgopR94+o09+bxzCkZCTp7+Ejas1v1MnPdMCsV2fAxr7234BmiGGEiIgajeq6f27m3URWcVa161fu/inv+gl0CoSvnTtU969WGo+SDGSnmd+YoNDPhWIyHqUtoKylewg1EwwjRETUZNRJ94/aDYGFeXC4d8V4PErh/So2pAa8OpqOR3H253iUKjCMEBFRs1Cr3T+OAQi0dUVgSREC8v6Ex72rEO5c1IeV0gLzG1C7VIxFMbxnj4N7HRxt48IwQkREzd7Ddv/Yq+ylkBJg44xAHRBYmIfAnAz43rkC1b3LgE5jfmXHlsaDZcvHo9i2qP0DbaAYRoiIiB7g4bt/WiJQ7Y5AwRaBpaUIzPsTAX/eQOD9G3Awe3oVALcgg4BS1ori0Q5Q2tTZccqFYYSIiOghGHb/SK0p1nT/2DgjUOWIQJ2AwOJ8BOZkIjDvPgJKNfDQ6WA0ykRpq59V1jCg+HQBXAIb9XgUhhEiIqI68tDdP4IKgQo1Aks1CMjPQmBxIQI1GgSWauCr0UC6ZsfWCfDubBxQvLsALTzr+hBrBcMIERGRTB6q+weAr05AYHERAktLEFiqQaBGg4Cyfx1EEWjhbTpg1qszoHasv4O0AMMIERFRA1Te/WMurFjU/aPVSgFF/2+pvoWlVAMP5wAIPiGVxqO0B1S29XR0xhhGiIiIGpmqun9u5unDygO7f3S6ipaU8rCiFRHoFIiWnsGw8QmpmGnWtTWgUNTp8TCMEBERNTG5Jbnmb1JoSfePKMJXY9CiolMgsIUvAtw7INCnJxxCxgAuAbVaX4YRIiKiZsR8988N3Mi+hpt5f6BYrGI+lDLbu85B30dfqtU6WXr+5iT7RERETYCt0hZtXNqgjUsbk9dMun9y0nDzXjJu5lzHjcI7yNKVwM8/VIZa6zGMEBERNXEKQQGfFj7waeGD3i17m7yeW5ILB5WDDDXTYxghIiJq5pxsnWTdf90OoyUiIiJ6AIYRIiIikhXDCBEREcmKYYSIiIhkxTBCREREsmIYISIiIlkxjBAREZGsGEaIiIhIVgwjREREJCuGESIiIpIVwwgRERHJimGEiIiIZMUwQkRERLJiGCEiIiJZMYwQERGRrBhGiIiISFYMI0RERCQrhhEiIiKSFcMIERERyapGYWTr1q0ICgqCnZ0dwsLCcObMmWrLx8bGolOnTrC3t0dgYCDeeOMNFBUV1ajCRERE1LSorF3h4MGDiIqKwvbt2xEWFobY2FhEREQgJSUF3t7eJuX379+PxYsXIy4uDo8//jhSU1MxdepUCIKATZs21cpBED0MrVaL0tJSuatBJCsbGxsolUq5q0HNlCCKomjNCmFhYejTpw8++OADAIBOp0NgYCDmzJmDxYsXm5SfPXs2kpOTcfToUWnZm2++idOnT+PHH3+0aJ85OTlwcXFBdnY2nJ2drakuUZVEUUR6ejqysrLkrgpRg+Dq6oqWLVtCEAS5q0JNhKXnb6taRkpKSnDu3DlER0dLyxQKBYYOHYpTp06ZXefxxx/Hxx9/jDNnziA0NBRXr17FkSNHMHny5Cr3U1xcjOLiYqODIapt5UHE29sbDg4O/ANMzZYoiigoKEBmZiYAwNfXV+YaUXNjVRi5e/cutFotfHx8jJb7+Pjg4sWLZteZOHEi7t69iyeeeAKiKEKj0eCVV17BkiVLqtzP2rVrsWrVKmuqRmQVrVYrBREPDw+5q0MkO3t7ewBAZmYmvL292WVD9arOr6Y5fvw41qxZg23btuGXX37BF198gfj4eLz99ttVrhMdHY3s7GzpcePGjbquJjUz5WNEHBwcZK4JUcNR/vvAMVRU36xqGfH09IRSqURGRobR8oyMDLRs2dLsOsuXL8fkyZMxY8YMAEDXrl2Rn5+Pl156CUuXLoVCYZqH1Go11Gq1NVUjqhF2zRBV4O8DycWqlhFbW1v06tXLaDCqTqfD0aNHER4ebnadgoICk8BR3vxn5dhZIiIiaoKsvrQ3KioKkZGR6N27N0JDQxEbG4v8/Hy8+OKLAIApU6bA398fa9euBQCMGDECmzZtQs+ePREWFobLly9j+fLlGDFiBPskiYiIyPowMn78eNy5cwcxMTFIT09Hjx49kJCQIA1qTUtLM2oJWbZsGQRBwLJly3Dr1i14eXlhxIgRWL16de0dBRERETVaVs8zIgfOM0K1raioCNeuXUObNm1gZ2cnd3WIGgT+XlBts/T8zXvTEBERkawYRohQNulTiUaWhzWNkzt27ICfnx90Op3R8ueeew7Tpk0zu05WVhZefvll+Pj4wM7ODiEhIfjqq68AALt374arqysOHz6MDh06wM7ODhEREUaX00+dOhUjR4402ua8efMwcOBAi+tNRFQdq8eMEDVFhaVadIn5RpZ9J70VAQdby34Vx44dizlz5uDYsWMYMmQIAOD+/ftISEjAkSNHTMrrdDoMGzYMubm5+Pjjj9GuXTskJSUZDR4vKCjA6tWrsXfvXtja2uK1117DCy+8gJMnT9bOARIRPQDDCFEj4ubmhmHDhmH//v1SGPnss8/g6emJQYMGmZT/7rvvcObMGSQnJ6Njx44AgLZt2xqVKS0txQcffICwsDAAwJ49exAcHCzdwoGIqK4xjBABsLdRIumtCNn2bY1JkyZh5syZ2LZtG9RqNfbt24cXXngB69atw5o1a6RySUlJSExMREBAgBREzFGpVOjTp4/0vHPnznB1dUVycjLDCBHVC4YRIuhnnrS0q0RuI0aMgCiKiI+PR58+fXDixAls3rwZQUFBGDdunFTOz89Put/Iw1AoFCbjWjhdOBHVpsbx15eIJHZ2dhg9ejT27duHy5cvo1OnTnj00UcBAO7u7kZlu3Xrhps3byI1NbXK1hGNRoOzZ89KrSApKSnIyspCcHAwAMDLywvnz583WicxMRE2Nja1fWhE1EzxahqiRmjSpEmIj49HXFwcJk2aVGW5AQMGoH///hgzZgy+/fZbXLt2DV9//TUSEhKkMjY2NpgzZw5Onz6Nc+fOYerUqXjsscekcDJ48GCcPXsWe/fuxaVLl7BixQqTcEJE9DAYRogaocGDB8Pd3R0pKSmYOHFitWU///xz9OnTBxMmTECXLl2wcOFCaLVa6XUHBwcsWrQIEydORN++feHo6IiDBw9Kr0dERGD58uVYuHAh+vTpg9zcXEyZMqXOjo2Imh/OwErNEmea1Nu9ezfmzZuHrKwsuatCDQB/L6i2cQZWIiIiahQYRoiIiEhWDCNEzdjUqVPZRUNEsmMYISIiIlkxjBAREZGsGEaIiIhIVgwjREREJCuGESIiIpIVwwgRERHJimGEiKw2depUjBw5Uu5q1Njx48chCAIvayZqIBhGiIiISFYMI0RERCQrhhEiABBFoCRfnocV96rcsWMH/Pz8oNPpjJY/99xzmDZtmtl1srKy8PLLL8PHxwd2dnYICQnBV199BQBYuXIlevToYVQ+NjYWQUFB0nOtVouoqCi4urrCw8MDCxcuROX7ayYkJOCJJ56QygwfPhxXrlyp9ljKu0qOHj2K3r17w8HBAY8//jhSUlKkMua6g+bNm4eBAwdKzwcOHIg5c+Zg3rx5cHNzg4+PD3bu3In8/Hy8+OKLcHJyQvv27fH111+b1OHkyZPo1q0b7Ozs8Nhjj+H8+fPSa/fu3cOECRPg7+8PBwcHdO3aFZ988km1x0RENaOSuwJEDUJpAbDGT559L/kDsG1hUdGxY8dizpw5OHbsGIYMGQIAuH//PhISEnDkyBGT8jqdDsOGDUNubi4+/vhjtGvXDklJSVAqlRZXb+PGjdi9ezfi4uIQHByMjRs34tChQxg8eLBUJj8/H1FRUejWrRvy8vIQExODUaNGITExEQpF9d95li5dio0bN8LLywuvvPIKpk2bhpMnT1pcPwDYs2cPFi5ciDNnzuDgwYN49dVXcejQIYwaNQpLlizB5s2bMXnyZKSlpcHBwUFab8GCBdiyZQtatmyJJUuWYMSIEUhNTYWNjQ2KiorQq1cvLFq0CM7OzoiPj8fkyZPRrl07hIaGWlU/IqoewwhRI+Lm5oZhw4Zh//79Uhj57LPP4OnpiUGDBpmU/+6773DmzBkkJyejY8eOAIC2bdtatc/Y2FhER0dj9OjRAIDt27fjm2++MSozZswYo+dxcXHw8vJCUlISQkJCqt3+6tWrMWDAAADA4sWL8cwzz6CoqMiqW9h3794dy5YtAwBER0dj3bp18PT0xMyZMwEAMTEx+PDDD/Gf//wHjz32mLTeihUr8OSTTwLQB5qAgAAcOnQI48aNg7+/P+bPny+VnTNnDr755ht8+umnDCNEtYxhhAgAbBz0LRRy7dsKkyZNwsyZM7Ft2zao1Wrs27cPL7zwAtatW4c1a9ZI5ZKSkpCYmIiAgAApiFgrOzsbt2/fRlhYmLRMpVKhd+/eRl01ly5dQkxMDE6fPo27d+9K3UhpaWkICQnBsGHDcOLECQBA69atceHCBWndbt26ST/7+voCADIzM9GqVSuL62m4DaVSCQ8PD3Tt2lVa5uPjI23XUHh4uPSzu7s7OnXqhOTkZAD67qk1a9bg008/xa1bt1BSUoLi4mKjlhUiqh0MI0QAIAgWd5XIbcSIERBFEfHx8ejTpw9OnDiBzZs3IygoCOPGjZPK+fn5wd7evtptKRQKk/EfpaWlNapT69atsXPnTmlMS0hICEpKSgAAu3btQmFhIQDAxsbGaF3D54IgAIAUZiytX+VtCoJQ7XYtsWHDBmzZsgWxsbHo2rUrWrRogXnz5knHRES1h2GEqJGxs7PD6NGjsW/fPly+fBmdOnXCo48+CkD/7d5Qt27dcPPmTaSmppptHfHy8kJ6ejpEUZRO2ImJidLrLi4u8PX1xenTp9G/f38AgEajwblz56R93rt3DykpKdi5cyf69esHAPjxxx+N9uPv71+jY/Xy8jIaVFpev8rho6Z+/vlnqQXmzz//RGpqKoKDgwHoB7c+99xz+Otf/wpAH2RSU1PRpUuXWtk3EVXg1TREjdCkSZMQHx+PuLg4TJo0qcpyAwYMQP/+/TFmzBh8++23uHbtGr7++mskJCQA0F+JcufOHaxfvx5XrlzB1q1bTa46mTt3LtatW4fDhw/j4sWLeO2114wmC3Nzc4OHhwd27NiBy5cv4/vvv0dUVFStHOfgwYNx9uxZ7N27F5cuXcKKFStMwsnDeOutt3D06FGcP38eU6dOhaenp3T1TocOHfDtt9/ip59+QnJyMl5++WVkZGTU2r6JqALDCFEjNHjwYLi7uyMlJQUTJ06stuznn3+OPn36YMKECejSpQsWLlwIrVYLAAgODsa2bduwdetWdO/eHWfOnDEatAkAb775JiZPnozIyEiEh4fDyckJo0aNkl5XKBQ4cOAAzp07h5CQELzxxhvYsGFDrRxnREQEli9fjoULF6JPnz7Izc3FlClTamXbALBu3TrMnTsXvXr1Qnp6Ov7v//4Ptra2AIBly5bh0UcfRUREBAYOHIiWLVs26llniRoyQazcIdsA5eTkwMXFBdnZ2XB2dpa7OtQEFBUV4dq1a2jTpo1VV20QNWX8vaDaZun5my0jREREJCuGESIiIpIVwwgRERHJimGEiIiIZMUwQkRERLJiGCEiIiJZMYwQERGRrBhGiIiISFYMI0RERCQrhhEiko0gCDh8+LDc1aixqVOncop4olrAMEJERESyYhghIiIiWTGMEAEQRREFpQWyPKy9V2Vubi4mTZqEFi1awNfXF5s3b8bAgQMxb948AOa7PlxdXbF7924AwOOPP45FixYZvX7nzh3Y2Njghx9+qHK/J0+exMCBA+Hg4AA3NzdERETgzz//BAAEBQUhNjbWqHyPHj2wcuVK6fmlS5fQv39/2NnZoUuXLvj2229N9rFo0SJ07NgRDg4OaNu2LZYvX47S0tJq34/yrpJ3330Xvr6+8PDwwKxZs4zWe9B7cv36dQiCgE8//RT9+vWDvb09+vTpg9TUVPz73/9G79694ejoiGHDhuHOnTsmdVi1ahW8vLzg7OyMV155BSUlJdJrCQkJeOKJJ+Dq6goPDw8MHz4cV65cqfaYiJobldwVIGoICjWFCNsfJsu+T088DQcbB4vLR0VF4eTJk/jyyy/h4+ODmJgY/PLLL+jRo4dF60+aNAnr16/HunXrIAgCAODgwYPw8/NDv379zK6TmJiIIUOGYNq0adiyZQtUKhWOHTsGrVZr0T51Oh1Gjx4NHx8fnD59GtnZ2VJ4MuTk5ITdu3fDz88Pv//+O2bOnAknJycsXLiw2u0fO3YMvr6+OHbsGC5fvozx48ejR48emDlzpkX1K7dixQrExsaiVatWmDZtGiZOnAgnJyds2bIFDg4OGDduHGJiYvDhhx9K6xw9ehR2dnY4fvw4rl+/jhdffBEeHh5YvXo1ACA/Px9RUVHo1q0b8vLyEBMTg1GjRiExMREKBb8PEgEMI0SNSm5uLvbs2YP9+/djyJAhAICPPvoIfn5+Fm9j3LhxmDdvHn788UcpfOzfvx8TJkyQwkll69evR+/evbFt2zZp2SOPPGLxPr/77jtcvHgR33zzjVTXNWvWYNiwYUblli1bJv0cFBSE+fPn48CBAw8MI25ubvjggw+gVCrRuXNnPPPMMzh69KjVYWT+/PmIiIgAAMydOxcTJkzA0aNH0bdvXwDA9OnTpdaUcra2toiLi4ODgwMeeeQRvPXWW1iwYAHefvttKBQKjBkzxqh8XFwcvLy8kJSUhJCQEKvqR9RUMYwQAbBX2eP0xNOy7dtSV69eRWlpKUJDQ6VlLi4u6NSpk8Xb8PLywl/+8hfs27cP/fr1w7Vr13Dq1Cn8/e9/B6APGf/9738BAP369cPXX3+NxMREjB071uJ9VJacnIzAwECj0BQeHm5S7uDBg3jvvfdw5coV5OXlQaPRwNnZGQCQlpaGLl26SGWXLFmCJUuWSHVWKpXSa76+vvj999+trme3bt2kn318fAAAXbt2NVqWmZlptE737t3h4FDRshUeHo68vDzcuHEDrVu3xqVLlxATE4PTp0/j7t270Ol00vEwjBDp1SiMbN26FRs2bEB6ejq6d++O999/3+iPY2VZWVlYunQpvvjiC9y/fx+tW7dGbGwsnn766RpXnKg2CYJgVVdJQyYIgsk4lMrjLiZNmoTXX38d77//Pvbv34+uXbtKJ90jR45I5e3t7Y3+rYpCoXjgPh/k1KlTmDRpElatWoWIiAi4uLjgwIED2LhxIwDAz88PiYmJUnl3d3fpZxsbG6NtCYIgnfTLn1tSP8PtlLcSVV5muF1LjBgxAq1bt8bOnTvh5+cHnU6HkJAQo3ElRM2d1R2WBw8eRFRUFFasWIFffvkF3bt3R0REhMm3hXIlJSV48skncf36dXz22WdISUnBzp074e/v/9CVJ2pu2rZtCxsbG/z73/+WlmVnZyM1NVV67uXlhdu3b0vPL126hIKCAqPtPPfccygqKkJCQgL279+PSZMmSa+1bt0a7du3R/v27aXf027duuHo0aNV1qvyPnNycnDt2jXpeXBwMG7cuGFU5ueffzbaxk8//YTWrVtj6dKl6N27Nzp06CC10ACASqWS6tW+fXujMPIglrwnNfXbb7+hsLBQev7zzz/D0dERgYGBuHfvHlJSUrBs2TIMGTIEwcHB0qBfIqpgdcvIpk2bMHPmTLz44osAgO3btyM+Ph5xcXFYvHixSfm4uDjcv38fP/30k/QNIygo6OFqTdRMOTk5ITIyEgsWLIC7uzu8vb2xYsUKKBQK6Zv84MGD8cEHHyA8PBxarRaLFi0yaTlo0aIFRo4cieXLlyM5ORkTJkyodr/R0dHo2rUrXnvtNbzyyiuwtbXFsWPHMHbsWHh6emLw4MHYvXs3RowYAVdXV8TExBh1mwwdOhQdO3ZEZGQkNmzYgJycHCxdutRoHx06dEBaWhoOHDiAPn36ID4+HocOHaqV982S96SmSkpKMH36dCxbtgzXr1/HihUrMHv2bCgUCri5ucHDwwM7duyAr68v0tLSzP6dJGrurGoZKSkpwblz5zB06NCKDSgUGDp0KE6dOmV2nS+//BLh4eGYNWsWfHx8EBISgjVr1lQ7Cr+4uBg5OTlGDyLS27RpE8LDwzF8+HAMHToUffv2RXBwMOzs7AAAGzduRGBgIPr164eJEydi/vz5RmMayk2aNAm//fYb+vXrh1atWlW7z44dO+Jf//oXfvvtN4SGhiI8PBz//Oc/oVLpv89ER0djwIABGD58OJ555hmMHDkS7dq1k9ZXKBQ4dOgQCgsLERoaihkzZkhXm5R79tln8cYbb2D27Nno0aMHfvrpJyxfvvxh3y4Alr8nNTFkyBB06NAB/fv3x/jx4/Hss89KlzQrFAocOHAA586dQ0hICN544w1s2LChVvZL1KSIVrh165YIQPzpp5+Mli9YsEAMDQ01u06nTp1EtVotTps2TTx79qx44MAB0d3dXVy5cmWV+1mxYoUIwOSRnZ1tTXWJqlRYWCgmJSWJhYWFclfloeXl5YkuLi7irl275K4KNXJN6feCGobs7GyLzt91fpG7TqeDt7c3duzYgV69emH8+PFYunQptm/fXuU60dHRyM7Olh43btyo62oSNRq//vorPvnkE1y5cgW//PKLNN7jueeek7lmREQ1Y9WYEU9PTyiVSmRkZBgtz8jIQMuWLc2u4+vrCxsbG6P+4+DgYKSnp6OkpAS2trYm66jVaqjVamuqRtSsvPvuu0hJSYGtrS169eqFEydOwNPTU+5qERHViFUtI+V/+AxH1et0Ohw9etTsnAEA0LdvX1y+fNnocrjU1FT4+vqaDSJEVL2ePXvi3LlzyMvLw/379/Htt98azYVBRNTYWN1NExUVhZ07d2LPnj1ITk7Gq6++ivz8fOnqmilTpiA6Oloq/+qrr+L+/fuYO3cuUlNTER8fjzVr1mDWrFm1dxRERETUaFl9ae/48eNx584dxMTEID09HT169EBCQoI0W2FaWprR/RYCAwPxzTff4I033kC3bt3g7++PuXPnmtyoi4iIiJonQRStvGWoDHJycuDi4oLs7Gxpamiih1FUVIRr166hTZs20iWxRM0dfy+otll6/uYtI4mIiEhWDCNEREQkK4YRIiIiklWzDiN5xRqUaq27AycRAVOnTsXIkSPlrkaNHT9+HIIgICsrq9a3HRQUhNjY2Frfbm0QBAGHDx+WuxpEJqy+mqYpmbHn3/j56n20sFXCxd4GLg62cLFX6X+2t4Grgy1c7G3gXP687N/yh7O9DZQKQe7DICIiatSadRjJKdQAAPJLtMgv0eKP7CKrt+FkZxhejIOKq72tUXgpf93Z3gZOahUUDDJE9ABVzVRN1JQ06zDy5ey+yC3SILuwFFmFpcg2fBSUGD3PKtD/m1P2PL9Ef9fh3CINcos0uPlnoVX7VgiQWlyqehiGF8OWmha2Sul28VQ7RFGEWGjdZ1hbBHt7iz/PHTt2YOXKlbh586bRfD7PPfccPDw8EBcXZ7JOVlYWFi1ahMOHDyM7Oxvt27fHunXrMHz4cKxcuRKHDx9GYmKiVD42NhaxsbG4fv06AECr1WLBggWIi4uDUqnE9OnTUXlGgISEBLzzzjs4f/48lEolwsPDsWXLFqM791Z2/PhxDBo0CN999x0WLVqEpKQk9OjRAx999BE6deoEQN8dlJWVZdS1MG/ePCQmJuL48eMAgIEDB6Jr165QKpXYs2cPbG1t8c4772DixImYPXs2PvvsM/j4+OD999/HsGHDjOpw8uRJREdHIzU1FT169MCuXbsQEhICALh37x5mz56NH374AX/++SfatWuHJUuWYMKECQ/8nAzt2rUL8+fPx+eff44hQ4bg/PnzWLBgAU6cOIEWLVrgL3/5CzZv3ixN5z9w4ECEhIRApVLh448/RteuXbFixYoHvlcA8M9//hOrVq1CUlIS/Pz8EBkZiaVLl0p3VyZqqJr1/1CVUgG3FrZwa2H9t44SjQ45RYbhpdRseCkPMFmFFeGmqFQHnQhkFejLWV1vhVDW8mIYVKoJNg4VrTR2NgoGGTPEwkKkPNpLln13+uUcBAtvZz927FjMmTMHx44dw5AhQwAA9+/fR0JCAo4cOWJSXqfTYdiwYcjNzcXHH3+Mdu3aISkpyeheUQ+yceNG7N69G3FxcQgODsbGjRtx6NAhDB48WCqTn5+PqKgodOvWDXl5eYiJicGoUaOQmJhoFJrMWbp0KTZu3AgvLy+88sormDZtGk6ePGlx/QBgz549WLhwIc6cOYODBw/i1VdfxaFDhzBq1CgsWbIEmzdvxuTJk5GWlgYHg/d6wYIF2LJlC1q2bIklS5ZgxIgRSE1NhY2NDYqKitCrVy8sWrQIzs7OiI+Px+TJk9GuXTuEhoZaVK/169dj/fr1+Ne//oXQ0FBkZWVh8ODBmDFjBjZv3ozCwkIsWrQI48aNw/fff290PK+++qr0Pty+ffuB79WJEycwZcoUvPfee+jXrx+uXLmCl156CQCwYsUKq95PovrWrMPIw7BVKeDpqIano/U39Csq1UotLObCi7lHVoE+1JRoddDoRNzPL8H9/BLr661U6INMdeHFzOvO9jaws7H8BEZ1w83NDcOGDcP+/fulMPLZZ5/B09MTgwYNMin/3Xff4cyZM0hOTkbHjh0BAG3btrVqn7GxsYiOjsbo0aMBANu3b8c333xjVGbMmDFGz+Pi4uDl5YWkpCSppaEqq1evxoABAwAAixcvxjPPPIOioiKrJt3q3r07li1bBkB/1+9169bB09MTM2fOBADExMTgww8/xH/+8x889thj0norVqzAk08+CUAfAAICAnDo0CGMGzcO/v7+mD9/vlR2zpw5+Oabb/Dpp59aFEYWLVqE//3f/8X/+3//D4888ggA4IMPPkDPnj2xZs0aqVxcXBwCAwORmpoqfUYdOnTA+vXrpTLlYaS692rVqlVYvHgxIiMjAeg/57fffhsLFy5kGKEGj2FEBnY2StjZKOHtbN0Mh6IooqhUV9atVGLSGlNdt1JWYSm0OhElWh3u5hXjbl5xDeqtqAgr9rZG3Uwm4abScxtlw75wS7C3R6dfzsm2b2tMmjQJM2fOxLZt26BWq7Fv3z688MILWLdundFJLikpCYmJiQgICJBOctbKzs7G7du3ERYWJi1TqVTo3bu3UVfNpUuXEBMTg9OnT+Pu3bvSjTHT0tIQEhKCYcOG4cSJEwCA1q1b48KFC9K63bp1k3729fUFAGRmZqJVq1YW19NwG0qlEh4eHkY3Dyy/XUVmZqbReoY3+HR3d0enTp2QnJwMQN89tWbNGnz66ae4desWSkpKUFxcLLWs7Nu3Dy+//LK0/tdff41+/foB0Lcm5efn4+zZs0bh77fffsOxY8fg6OhocgxXrlyRPqdevcy30lX3Xv322284efIkVq9eLZXRarUoKipCQUGBUYsQUUPDMNKICIIAe1sl7G2VaOlifZDJL9FKXUpZhSVGrTPVtczkFJZCJwJFpToUlRYjI8f6IFN+xVKV3UoOlQb71vMVS4IgWNxVIrcRI0ZAFEXEx8ejT58+OHHiBDZv3oygoCCMGzdOKufn5wf7BwQdhUJhMv6jtNT6rsMRI0agdevW2LlzJ/z8/KDT6RASEoKSEn3r3a5du1BYNibHxsbGaF3D5+VdiOVhxtL6Vd6mIAjVbtcSGzZswJYtWxAbG4uuXbuiRYsWmDdvnnRMzz77rFFI8/f3l37u168f4uPj8emnn2Lx4sXS8ry8PIwYMQJ/+9vfTPZXHi4AoEWLFmbrVN0x5eXlYdWqVVILliFO7U4NHcNIMyEIAhzVKjiqVfB3te6buE4nIrdY84DwYn7Ab25RLVyxpFaZtLS4OtgYt8xUunLJxaHpXrFkZ2eH0aNHY9++fbh8+TI6deqERx99FID+272hbt264ebNm0ZdAIa8vLyQnp4OURSlk5vhYFYXFxf4+vri9OnT6N+/PwBAo9Hg3Llz0j7v3buHlJQU7Ny5U2oZ+PHHH432Y3iitoaXlxfOnz9vtCwxMdEkfNTUzz//LLXA/Pnnn0hNTUVwcDAA/eDW5557Dn/9618B6E/6qamp6NKlCwDAyckJTk5OZrcbGhqK2bNn46mnnoJKpZK6ex599FF8/vnnCAoKqvVBpY8++ihSUlLQvn37Wt0uUX1gGKEHUigE6SQfaOW6Wp2I3CLT8JJl0IVU3lKjf00ferIKSiquWCrWILe4ZlcsOdmZvzLJz1GJUE8NsgpKYK9TQKkQjB4KQWjQA30nTZqE4cOH48KFC9LJ0pwBAwagf//+GDNmDDZt2oT27dvj4sWLEAQBTz31FAYOHIg7d+5g/fr1eP7555GQkICvv/7a6IZWc+fOxbp169ChQwd07twZmzZtMposzM3NDR4eHtixYwd8fX2RlpZm1BrwMAYPHowNGzZg7969CA8Px8cff4zz58+jZ8+etbL9t956Cx4eHvDx8cHSpUvh6ekpTebWoUMHfPbZZ/jpp5/g5uaGTZs2ISMjQwojD/L444/jyJEjGDZsGFQqFebNm4dZs2Zh586dmDBhAhYuXAh3d3dcvnwZBw4cwK5du6waWFxZTEwMhg8fjlatWuH555+HQqHAb7/9hvPnz+Odd96p8XaJ6gPDCNUppUKAq4MtXB2sv2KpVKszGvMiXZlk5solo1abwhLpiqXyZWn3jbft76REp0HeyMgpglBg2nQvQDAJKErBzDIzrysE1HmQGTx4MNzd3ZGSkoKJEydWW/bzzz/H/PnzMWHCBOTn50uX9gJAcHAwtm3bhjVr1uDtt9/GmDFjMH/+fOzYsUNa/80338Tt27cRGRkJhUKBadOmYdSoUcjOzgag70o5cOAAXn/9dYSEhKBTp0547733MHDgwIc+zoiICCxfvhwLFy5EUVERpk2bhilTpuD3339/6G0DwLp16zB37lxcunQJPXr0wP/93/9Jc3osW7YMV69eRUREBBwcHPDSSy9h5MiR0nFb4oknnkB8fDyefvppKJVKzJkzBydPnsSiRYvwl7/8BcXFxWjdujWeeuqpB1519CARERH46quv8NZbb+Fvf/sbbGxs0LlzZ8yYMeOhtktUHwSxcodsA2TpLYiJyhVrtNWGF21pMcK9dWjpHwhRaQutToRWFKHViSZjFKwlCKbBRVXe4lIWWlRVhJmm2K1EjUdRURGuXbuGNm3acJwJ1QpLz99sGaEmSa1SwttJCW8n839Qy//o+rs5GP3RFUURogijcKLR6f+VHmKl5wYPEfowoxFFaGpw2yOFYGFLjJnXFA24W4mIqDoMI0QGBEGAIOjHyVg7RFIURejKg4xRcNGZhBaNToTOIOzodCJEADpRhE4rolRrfd0VlQOKYNwqU12gacjjY4io6WMYIaol+u4Z1OhSZH2QMW1p0VTTCmPYQgM8XJCxdDyMuWUMMkT0sBhGiBqAinEm1q8rig/oPhJFaLXG3U46g9cASGVQkyDzgG4lVTXdSgwyRAQwjBA1eoIgQKUUavTLrBMNgkl142TMhB1deZAxaJ2xqt7Qhy+lQvHAQFP5tfq4YomI6g/DCFEzphAEKJQCVDWY3sJct1J1g3sNu51EUT/YV6MDNDrrm2PMXbFk0XgZXrFE1CAxjBBRjZQHmZrcP1FnJrhoLAw1tXbFUg3GyfCKJaK6wTBCRPVOoRCggPVBpuorlsof5VcuweyVTEZXLNWk3lVcsVR5Phlzr7FbiahqDCNEZLWpU6ciKysLhw8frtf9Ntkrlqp6jVcsUTPBMEJEzUKdX7FUTaAB6vaKJaVCgIpXLFEjxjBCRPQAD3PFklg5qBg8f9DsvrV3xVJ5QFFIgUx6bhB0NCVaaHUiCko0UKtFBhmqNwwjRI3Ijh07sHLlSty8edPoxmrPPfccPDw8EBcXZ7JOVlYWFi1ahMOHDyM7O1u6Ud7w4cOxcuVKHD58GImJiVL52NhYxMbG4vr16wAArVaLBQsWIC4uDkqlEtOnTze5f09CQgLeeecdnD9/HkqlEuHh4diyZQvatWtX7fFcuHABixYtwg8//ABRFNGjRw/s3r0b7dq1w8CBA9GjRw/ExsZK5UeOHAlXV1fs3r0bABAUFITp06cjKSkJX375JVxdXbFkyRLMmjULADBt2jRkZmbiq6++krZRWloKf39/rF27FtOnT7fkbX8oUpCppyuWyl/XGV2xVP55Vd8sI2pKkJldhJcP/4jMAp3Rna5d7G3gavCzs70NXB1speeGd8e2q8moZmrWGEaIoP/2qimpwaUZtUBlq7D4G+jYsWMxZ84cHDt2DEOGDAEA3L9/HwkJCThy5IhJeZ1Oh2HDhiE3Nxcff/wx2rVrh6SkJKtuVb9x40bs3r0bcXFxCA4OxsaNG3Ho0CEMHjxYKpOfn4+oqCh069YNeXl5iImJwahRo5CYmFjl3Whv3bqF/v37Y+DAgfj+++/h7OyMkydPQqPRWFw3ANiwYQOWLFmCVatW4ZtvvsHcuXPRsWNHPPnkk5gxYwb69++P27dvw9fXFwDw1VdfoaCgAOPHj7dqP3KosyuWqgg0pToFyv8rlmpF3M0rwd28Eqv3batSmIQXF3sbuDjYmA0vhqFHXZPURo0ewwgRAE2JDjvm/j9Z9v3SlgGwUVv2B9jNzQ3Dhg3D/v37pTDy2WefwdPTE4MGDTIp/9133+HMmTNITk5Gx44dAQBt27a1qn6xsbGIjo7G6NGjAQDbt2/HN998Y1RmzJgxRs/j4uLg5eWFpKQkhISEmN3u1q1b4eLiggMHDsDGRn8noPI6WqNv375YvHixtP7JkyexefNmPPnkk3j88cfRqVMn/O///i8WLlwIAPjoo48wduxYODo6Wr2vxqQmVywVFdlAmW+Pr+Y8gUKd0uhu19mV735t8LP+7tglyCnSQKsTUaLR4U5uMe7kFltdb3sbZdXhxWCZs5mwo6rJgCBqEBhGiBqZSZMmYebMmdi2bRvUajX27duHF154AevWrcOaNWukcklJSUhMTERAQECNTvIAkJ2djdu3byMsLExaplKp0Lt3b6OumkuXLiEmJganT5/G3bt3odPpW5nS0tIQEhKCYcOG4cSJEwCA1q1b48KFC0hMTES/fv2kIFJT4eHhJs8Nu3ZmzJiBHTt2YOHChcjIyMDXX3+N77///qH22dTZ26rgZmcHP1d7q9YTRRF5xRp9WCnQhxRz4cVcuMkpKoUoAoWlWhSWapGeU2R1vR3VKoNWFhVc7W3NhprKLTNOdjY1ukKLag/DCBH0XSUvbRkg276tMWLECIiiiPj4ePTp0wcnTpzA5s2bERQUhHHjxknl/Pz8YG9f/clEoVCYjP8oLbV+Bo4RI0agdevW2LlzJ/z8/KDT6RASEoKSEn0T/65du1BYWAgAUvior7pNmTIFixcvxqlTp/DTTz+hTZs26Nevn9XboQcTBAFOdvqTe4CbdevqdCJyizQG4aWk+paZgopWmdxifddeXrEGecUa3MoqtLLegJNaZRRaXO1tjcfLmAs0DjZwUqs40LcWMIwQQf9H1NKuErnZ2dlh9OjR2LdvHy5fvoxOnTrh0UcfBQC4u7sble3WrRtu3ryJ1NRUs60jXl5eSE9PhyhWXDlhOJjVxcUFvr6+OH36NPr37w8A0Gg0OHfunLTPe/fuISUlBTt37pRO8j/++KPRfvz9/U323a1bN+zZswelpaVmW0e8vLxw+/Zt6blWq8X58+dNuqN+/vlnk+fBwcHScw8PD4wcORIfffQRTp06hRdffNFkXyQ/hULQhwEH61vKNFodcgyCTHZ5t5GZ8FL5UVCihSgCOUUa5BRpcAPWBRmFAKMuI+cqw4utUYhxtbeBg62SQaYMwwhRIzRp0iQMHz4cFy5cwF//+tcqyw0YMAD9+/fHmDFjsGnTJrRv3x4XL16EIAh46qmnMHDgQNy5cwfr16/H888/j4SEBHz99ddwdnaWtjF37lysW7cOHTp0QOfOnbFp0yZkZWVJr7u5ucHDwwM7duyAr68v0tLSpDEc1Zk9ezbef/99vPDCC4iOjoaLiwt+/vlnhIaGolOnThg8eDCioqIQHx+Pdu3amey33MmTJ7F+/XqMHDkS3377Lf7xj38gPj7eqMyMGTMwfPhwaLVaREZGPvgNpkZFpVTAvYUt3FvYWr1uiUaHnCLjlpbyMJNdaBhwSkxaZoo1OuhEIKtA/9zqeiuEasfHGLfMGF+5ZGdj+cD3xoBhhKgRGjx4MNzd3ZGSkoKJEydWW/bzzz/H/PnzMWHCBOTn50uX9gJAcHAwtm3bhjVr1uDtt9/GmDFjMH/+fOzYsUNa/80338Tt27cRGRkJhUKBadOmYdSoUcjOzgag7045cOAAXn/9dYSEhKBTp0547733MHDgwGrr5eHhge+//x4LFizAgAEDoFQq0aNHD/Tt2xeA/rLc3377DVOmTIFKpcIbb7xhdpDum2++ibNnz2LVqlVwdnbGpk2bEBERYVRm6NCh8PX1xSOPPAI/P78Hvr/UfNiqFPB0VMPTUW31ukWl2orwUqkrKauw0piZgvIwo0F2YQlKtfqrm+7ll+Befs2vWKp82XVVLTOuDg37iiVBrNwp2wDl5OTAxcUF2dnZRt/YiGqqqKgI165dQ5s2bWBnZyd3daiGgoKCMG/ePMybN6/acnl5efD398dHH30kXRVEpvh7UT9EUURhqdZoPEz5AN+cB3QrZReW1mgCPEN2NoqKwb3SnDE2eGVAO7T3rt2rzCw9f7NlhIiaLJ1Oh7t372Ljxo1wdXXFs88+K3eViCAIAhxsVXCwVcHXxforlvJLtAYtLeWXVpteel15zEz5FUtFpTqklxaZXLH018da1+ZhWoVhhIiarLS0NLRp0wYBAQHYvXs3VCr+yaPGTRAEOKpVcFSranbFUrHGzJwx+mAT6GZdMKpN/M0kokarfMr6qgQFBZlcHkzUXCkMBsw2NJyujoiIiGTFMEJERESyYhghIiIiWTGMEBERkawYRoiIiEhWDCNEREQkK4YRokZm4MCBD5xxlIioMWEYISIiIlkxjBAREZGsahRGtm7diqCgINjZ2SEsLAxnzpyxaL0DBw5AEASMHDmyJrslojIajQazZ8+Gi4sLPD09sXz58mpnGs3KysLLL78MHx8f2NnZISQkBF999RUAYPfu3XB1dcXhw4fRoUMH2NnZISIiAjdu3JDWnzp1qsnv7bx58x54Z14iIktYPR38wYMHERUVhe3btyMsLAyxsbGIiIhASkoKvL29q1zv+vXrmD9/Pvr16/dQFSaqC6IoQlNcLMu+VWo1BEGwap09e/Zg+vTpOHPmDM6ePYuXXnoJrVq1wsyZM03K6nQ6DBs2DLm5ufj444/Rrl07JCUlQamsuI14QUEBVq9ejb1798LW1havvfYaXnjhBZw8efKhj4+I6EGsDiObNm3CzJkz8eKLLwIAtm/fjvj4eMTFxWHx4sVm19FqtZg0aRJWrVqFEydOICsr66EqTVTbNMXFeC/yeVn2/fqez2Bj5e3aAwMDsXnzZgiCgE6dOuH333/H5s2bzYaR7777DmfOnEFycjI6duwIAGjbtq1RmdLSUnzwwQcICwsDoA87wcHBOHPmDEJDQ2t4ZERElrGqm6akpATnzp3D0KFDKzagUGDo0KE4depUleu99dZb8Pb2xvTp0y3aT3FxMXJycoweRFThscceM2pNCQ8Px6VLl7B69Wo4OjpKj7S0NCQmJiIgIEAKIuaoVCr06dNHet65c2e4uroiOTm5To+DiAiwsmXk7t270Gq18PHxMVru4+ODixcvml3nxx9/xP/8z/8gMTHR4v2sXbsWq1atsqZqRA9FpVbj9T2fybbv2vLKK69g/Pjx0nM/Pz/Y2z/8bcEVCoXJmJTS0tKH3i4REVCDbhpr5ObmYvLkydi5cyc8PT0tXi86OhpRUVHS85ycHAQGBtZFFYkAAIIgWN1VIqfTp08bPf/555/RoUMHeHh4wMPDw+i1bt264ebNm0hNTa2ydUSj0eDs2bNSl0xKSgqysrIQHBwMAPDy8sL58+eN1klMTISNTcO7FTkRNT5WhRFPT08olUpkZGQYLc/IyEDLli1Nyl+5cgXXr1/HiBEjpGU6nU6/Y5UKKSkpaNeuncl6arUa6lr8tkjU1KSlpSEqKgovv/wyfvnlF7z//vvYuHGj2bIDBgxA//79MWbMGGzatAnt27fHxYsXIQgCnnrqKQCAjY0N5syZg/feew8qlQqzZ8/GY489JoWTwYMHY8OGDdi7dy/Cw8Px8ccf4/z58+jZs2e9HTMRNV1WjRmxtbVFr169cPToUWmZTqfD0aNHER4eblK+c+fO+P3335GYmCg9nn32WQwaNAiJiYls7SCqoSlTpqCwsBChoaGYNWsW5s6di5deeqnK8p9//jn69OmDCRMmoEuXLli4cCG0Wq30uoODAxYtWoSJEyeib9++cHR0xMGDB6XXIyIisHz5cixcuBB9+vRBbm4upkyZUqfHSETNhyBWNzmBGQcPHkRkZCT+/ve/IzQ0FLGxsfj0009x8eJF+Pj4YMqUKfD398fatWvNrj916lRkZWXh8OHDFu8zJycHLi4uyM7OhrOzszXVJTKrqKgI165dQ5s2bWDXiLpn6sLu3bsxb948XuVG/L2gWmfp+dvqMSPjx4/HnTt3EBMTg/T0dPTo0QMJCQnSoNa0tDQoFJzYlYiIiCxTowGss2fPxuzZs82+dvz48WrX3b17d012SURERE0UmzCImrnyrlMiIrkwjBAREZGsGEaoWbNy/DZRk8bfB5ILwwg1S+WTdRUUFMhcE6KGo/z3gZPZUX2r0xlYiRoqpVIJV1dXZGZmAtDPs2HtnXOJmgpRFFFQUIDMzEy4uroa3dGZqD4wjFCzVT5rcHkgIWruXF1dzc6mTVTXGEao2RIEAb6+vvD29uZN36jZs7GxYYsIyYZhhJo9pVLJP8JERDLiAFYiIiKSFcMIERERyYphhIiIiGTFMEJERESyYhghIiIiWTGMEBERkawYRoiIiEhWDCNEREQkK4YRIiIikhXDCBEREcmKYYSIiIhkxTBCREREsmIYISIiIlkxjBAREZGsGEaIiIhIVgwjREREJCuGESIiIpIVwwgRERHJimGEiIiIZMUwQkRERLJiGCEiIiJZMYwQERGRrBhGiIiISFYMI0RERCQrhhEiIiKSFcMIERERyYphhIiIiGTFMEJERESyYhghIiIiWTGMEBERkawYRoiIiEhWDCNEREQkK4YRIiIikhXDCBEREcmKYYSIiIhkxTBCREREsmIYISIiIlkxjBAREZGsGEaIiIhIVjUKI1u3bkVQUBDs7OwQFhaGM2fOVFl2586d6NevH9zc3ODm5oahQ4dWW56IiIiaF6vDyMGDBxEVFYUVK1bgl19+Qffu3REREYHMzEyz5Y8fP44JEybg2LFjOHXqFAIDA/GXv/wFt27deujKExERUeMniKIoWrNCWFgY+vTpgw8++AAAoNPpEBgYiDlz5mDx4sUPXF+r1cLNzQ0ffPABpkyZYtE+c3Jy4OLiguzsbDg7O1tTXSIiIpKJpedvq1pGSkpKcO7cOQwdOrRiAwoFhg4dilOnTlm0jYKCApSWlsLd3b3KMsXFxcjJyTF6EBERUdNkVRi5e/cutFotfHx8jJb7+PggPT3dom0sWrQIfn5+RoGmsrVr18LFxUV6BAYGWlNNIiIiakTq9WqadevW4cCBAzh06BDs7OyqLBcdHY3s7GzpcePGjXqsJREREdUnlTWFPT09oVQqkZGRYbQ8IyMDLVu2rHbdd999F+vWrcN3332Hbt26VVtWrVZDrVZbUzUiIiJqpKxqGbG1tUWvXr1w9OhRaZlOp8PRo0cRHh5e5Xrr16/H22+/jYSEBPTu3bvmtSUiIqImx6qWEQCIiopCZGQkevfujdDQUMTGxiI/Px8vvvgiAGDKlCnw9/fH2rVrAQB/+9vfEBMTg/379yMoKEgaW+Lo6AhHR8daPBQiIiJqjKwOI+PHj8edO3cQExOD9PR09OjRAwkJCdKg1rS0NCgUFQ0uH374IUpKSvD8888bbWfFihVYuXLlw9WeiIiIGj2r5xmRA+cZISIianzqZJ4RIiIiotrGMEJERESyYhghIiIiWTGMEBERkawYRoiIiEhWDCNEREQkK4YRIiIikhXDCBEREcmKYYSIiIhkxTBCREREsmIYISIiIlkxjBAREZGsGEaIiIhIVgwjREREJCuGESIiIpIVwwgRERHJimGEiIiIZMUwQkRERLJiGCEiIiJZMYwQERGRrBhGiIiISFYMI0RERCQrhhEiIiKSFcMIERERyYphhIiIiGTFMEJERESyYhghIiIiWTGMEBERkawYRoiIiEhWDCNEREQkK4YRIiIikhXDCBEREcmKYYSIiIhkxTBCREREsmIYISIiIlkxjBAREZGsGEaIiIhIVgwjREREJCuV3BUgIiJqykRRBEQR0Gr1P+t0FT9rtRB1Ov0ync7sz6JWB4g6iFptxXZ0IiDqKn7WVdpO5XUqL5PWqVjXacgQqNzdZXmPGEaIiBo58yc4/UnG6KRm9kRX6QQnndSqO8Hp/7XkBFd5O6JOBxhuR6eDqCtb12A70rLydcvX0ZWf1KvZjtExly2rap3yZWbfp/JjqbydStvT6aRlVb3fjYFdx44MI0TUMJl8q6vmD27lb3ImJ7jqTpSVT2oG3+qMT3SG+zNzsjJ7gqt8sqpinWpPcGZOTOXLTE5MVZ/gjE+YDzjBmXtvK7/vWq3c/0WotigUgEIBoexfw5+lZUoFBEEBKJUQBMF0mUIAFMpK2xEgVFomKBWAYLCuQgGFk5Nsh84wQrKr0QnObPPmA5oqDU9MJt/kLDjBmf32Z/4EZ3RSq+ZEafbEVNUJrryORtsx9+1PNP5WV8V2qv1GaBg8RFHu/yJUG8pPXGZOcBUnuipOcIIAKJVmT2oPOmFCIZg5UZrbjsGyyidKk3UVptspW0dat/J2ytapcjtKJSCU/1u2blXHV76dyutIyyrWr/59MnhvBUH/czPVrMPI/et3oSkqgQL6k5RCAAToIIj6fxWCDhABBfR/kPWv6Uy+tVXdVGmmWbKaE2W1JyaTpkpzJ7gqvv1VdYJ7YFOl6QnObJPng0KEmROcYbMyNRGW/ME1PDE9xAlOUAgmJ6tqv/3V6ARX6cRU5QlOYeakpjDedlUnOLMnPTPbMTzpmXufDEOEwYmy4j1WNOsTHTV8zTqMJLzzL/ypamn1eoKohSCWBRNRZ/Tc9KGFANFsGYg6KMrKwPA1GKwripX+rbQN6MsppLqY2b/hujD3umm9TOtR/bYBEXX6p67sD625E1zFN7nqT3BGJ5SqmjwrnTCt306lE0p13wgrn9QEcye6ynWo+QnO3Lc2c98ETb79mTvpVT4pNvNvdUT0cJp1GFGJJbApyYUoKCEKCqMHBEWV6+nLK+uxpo1DeSYQFELZz4L+nC0IEJRlzwUBCqUAQSGUvW7wXKkwWKaAoNS/plAqpPLlrwtKg/XNbausHgqFQl8Hg/JSubK6GG5H+ldZvg1FxXFUrrfBtkzWFfT/CgJ4kiYieoBmHUbG/v2vFd/uKhF1InSiCFErQqcT9c91on4AuVaETqeDvhFBhE4rQhSN/zVax9w2dLqy5TBYbmZdg20Ybxtly3X6XqNK65XXxexyo22XH4OuYptm9l3+vLrhA+VDDKAtL8SxBgAqhRSYBimlcUirHHj0y8vDnaIiaClNw1hNQlqVAdFcWGNII6I60KzDiKCq+vAFhQAlBIANIEakkGYQbMpDjFEoqxSwzIY0c9soC3kWb8PKkFZ1QDSzjerKli8Xy+tQ/Xum1YmApv4+p8agIrjAIOhUFcZqN6QZB0GY7KOuQ1pV22BIo+aqRmFk69at2LBhA9LT09G9e3e8//77CA0NrbL8P/7xDyxfvhzXr19Hhw4d8Le//Q1PP/10jStN8jEKaTZy16bhEEXRuPWpqtaqyoGm0vKqQlrlFi9LwlrFdmC87eoClrl6lh3Pg4NgDUMaGamzkGZuWwatVXUS0qRQppDqVJOgx5DW9FkdRg4ePIioqChs374dYWFhiI2NRUREBFJSUuDt7W1S/qeffsKECROwdu1aDB8+HPv378fIkSPxyy+/ICQkpFYOgkhuQvkfdIY0I5aEtAd1T5qGsaq7JS0JfFL3ZOVtmARB88tNuzirCYJVtuZV854xpJn1sCGt8tgx05atOghphkHLqLWOIa0yQRStm0QgLCwMffr0wQcffABAP/YhMDAQc+bMweLFi03Kjx8/Hvn5+fjqq6+kZY899hh69OiB7du3W7TPnJwcuLi4IDs7G87OztZUl4iowTEMaRVdi1WEKKu6J82HOstCmsE2qhpvVs3yim2ZGUtnUYugfj2yjklIU1gWisyFtCfGdoS7X4tarZ+l52+rWkZKSkpw7tw5REdHS8sUCgWGDh2KU6dOmV3n1KlTiIqKMloWERGBw4cPV7mf4uJiFBcXS89zcnKsqSYRUYNm1JJGkvKQZtK1aPE4NEDU6cx3T1YTiiovMzuGzDCkmbu4odogaObiAGsCYjUhrTZb0kqK5RvYZlUYuXv3LrRaLXx8fIyW+/j44OLFi2bXSU9PN1s+PT29yv2sXbsWq1atsqZqRETUyJWHNCh57YAhUbSye9JMy1nlkGZuGy5e9rIdY4O8miY6OtqoNSUnJweBgYEy1oiIiEgegqAfHwKF0GRDmlVhxNPTE0qlEhkZGUbLMzIy0LKl+ZlMW7ZsaVV5AFCr1VCr1dZUjYiIiBqpqqcZNcPW1ha9evXC0aNHpWU6nQ5Hjx5FeHi42XXCw8ONygPAt99+W2V5IiIial6s7qaJiopCZGQkevfujdDQUMTGxiI/Px8vvvgiAGDKlCnw9/fH2rVrAQBz587FgAEDsHHjRjzzzDM4cOAAzp49ix07dtTukRAREVGjZHUYGT9+PO7cuYOYmBikp6ejR48eSEhIkAappqWlQWEwvfrjjz+O/fv3Y9myZViyZAk6dOiAw4cPc44RIiIiAlCDeUbkwHlGiIiIGh9Lz99WjRkhIiIiqm0MI0RERCQrhhEiIiKSFcMIERERyYphhIiIiGTFMEJERESyYhghIiIiWTGMEBERkawa5F17Kyufly0nJ0fmmhAREZGlys/bD5pftVGEkdzcXABAYGCgzDUhIiIia+Xm5sLFxaXK1xvFdPA6nQ5//PEHnJycIAiC3NVpcHJychAYGIgbN25wuvwGgp9Jw8LPo2Hh59Gw1OXnIYoicnNz4efnZ3TfusoaRcuIQqFAQECA3NVo8JydnfmL3cDwM2lY+Hk0LPw8Gpa6+jyqaxEpxwGsREREJCuGESIiIpIVw0gToFarsWLFCqjVarmrQmX4mTQs/DwaFn4eDUtD+DwaxQBWIiIiarrYMkJERESyYhghIiIiWTGMEBERkawYRoiIiEhWDCNEREQkK4aRRmLr1q0ICgqCnZ0dwsLCcObMmSrL7ty5E/369YObmxvc3NwwdOjQastTzVjzmRg6cOAABEHAyJEj67aCzYy1n0dWVhZmzZoFX19fqNVqdOzYEUeOHKmn2jZ91n4esbGx6NSpE+zt7REYGIg33ngDRUVF9VTbpu2HH37AiBEj4OfnB0EQcPjw4Qeuc/z4cTz66KNQq9Vo3749du/eXbeVFKnBO3DggGhrayvGxcWJFy5cEGfOnCm6urqKGRkZZstPnDhR3Lp1q/jrr7+KycnJ4tSpU0UXFxfx5s2b9Vzzpsvaz6TctWvXRH9/f7Ffv37ic889Vz+VbQas/TyKi4vF3r17i08//bT4448/iteuXROPHz8uJiYm1nPNmyZrP499+/aJarVa3Ldvn3jt2jXxm2++EX19fcU33nijnmveNB05ckRcunSp+MUXX4gAxEOHDlVb/urVq6KDg4MYFRUlJiUlie+//76oVCrFhISEOqsjw0gjEBoaKs6aNUt6rtVqRT8/P3Ht2rUWra/RaEQnJydxz549dVXFZqcmn4lGoxEff/xxcdeuXWJkZCTDSC2y9vP48MMPxbZt24olJSX1VcVmxdrPY9asWeLgwYONlkVFRYl9+/at03o2R5aEkYULF4qPPPKI0bLx48eLERERdVYvdtM0cCUlJTh37hyGDh0qLVMoFBg6dChOnTpl0TYKCgpQWloKd3f3uqpms1LTz+Stt96Ct7c3pk+fXh/VbDZq8nl8+eWXCA8Px6xZs+Dj44OQkBCsWbMGWq22vqrdZNXk83j88cdx7tw5qSvn6tWrOHLkCJ5++ul6qTMZO3XqlNHnBwAREREWn3NqolHctbc5u3v3LrRaLXx8fIyW+/j44OLFixZtY9GiRfDz8zP5z0U1U5PP5Mcff8T//M//IDExsR5q2LzU5PO4evUqvv/+e0yaNAlHjhzB5cuX8dprr6G0tBQrVqyoj2o3WTX5PCZOnIi7d+/iiSeegCiK0Gg0eOWVV7BkyZL6qDJVkp6ebvbzy8nJQWFhIezt7Wt9n2wZaeLWrVuHAwcO4NChQ7Czs5O7Os1Sbm4uJk+ejJ07d8LT01Pu6hAAnU4Hb29v7NixA7169cL48eOxdOlSbN++Xe6qNUvHjx/HmjVrsG3bNvzyyy/44osvEB8fj7ffflvuqlE9YctIA+fp6QmlUomMjAyj5RkZGWjZsmW167777rtYt24dvvvuO3Tr1q0uq9msWPuZXLlyBdevX8eIESOkZTqdDgCgUqmQkpKCdu3a1W2lm7Ca/I74+vrCxsYGSqVSWhYcHIz09HSUlJTA1ta2TuvclNXk81i+fDkmT56MGTNmAAC6du2K/Px8vPTSS1i6dCkUCn5vrk8tW7Y0+/k5OzvXSasIwJaRBs/W1ha9evXC0aNHpWU6nQ5Hjx5FeHh4leutX78eb7/9NhISEtC7d+/6qGqzYe1n0rlzZ/z+++9ITEyUHs8++ywGDRqExMREBAYG1mf1m5ya/I707dsXly9flkIhAKSmpsLX15dB5CHV5PMoKCgwCRzlQVHkvVzrXXh4uNHnBwDffvttteech1ZnQ2Op1hw4cEBUq9Xi7t27xaSkJPGll14SXV1dxfT0dFEURXHy5Mni4sWLpfLr1q0TbW1txc8++0y8ffu29MjNzZXrEJocaz+Tyng1Te2y9vNIS0sTnZycxNmzZ4spKSniV199JXp7e4vvvPOOXIfQpFj7eaxYsUJ0cnISP/nkE/Hq1aviv/71L7Fdu3biuHHj5DqEJiU3N1f89ddfxV9//VUEIG7atEn89ddfxf/+97+iKIri4sWLxcmTJ0vlyy/tXbBggZicnCxu3bqVl/aS3vvvvy+2atVKtLW1FUNDQ8Wff/5Zem3AgAFiZGSk9Lx169YiAJPHihUr6r/iTZg1n0llDCO1z9rP46effhLDwsJEtVottm3bVly9erWo0WjqudZNlzWfR2lpqbhy5UqxXbt2op2dnRgYGCi+9tpr4p9//ln/FW+Cjh07ZvacUP4ZREZGigMGDDBZp0ePHqKtra3Ytm1b8aOPPqrTOgqiyDYwIiIikg/HjBAREZGsGEaIiIhIVgwjREREJCuGESIiIpIVwwgRERHJimGEiIiIZMUwQkRERLJiGCEiImqmfvjhB4wYMQJ+fn4QBAGHDx+2av2VK1dCEASTR4sWLazaDsMIERFRM5Wfn4/u3btj69atNVp//vz5uH37ttGjS5cuGDt2rFXbYRghIiJqpoYNG4Z33nkHo0aNMvt6cXEx5s+fD39/f7Ro0QJhYWE4fvy49LqjoyNatmwpPTIyMpCUlITp06dbVQ+GESIiIjJr9uzZOHXqFA4cOID//Oc/GDt2LJ566ilcunTJbPldu3ahY8eO6Nevn1X7YRghIiIiE2lpafjoo4/wj3/8A/369UO7du0wf/58PPHEE/joo49MyhcVFWHfvn1Wt4oAgKo2KkxERERNy++//w6tVouOHTsaLS8uLoaHh4dJ+UOHDiE3NxeRkZFW74thhIiIiEzk5eVBqVTi3LlzUCqVRq85OjqalN+1axeGDx8OHx8fq/fFMEJEREQmevbsCa1Wi8zMzAeOAbl27RqOHTuGL7/8skb7YhghIiJqpvLy8nD58mXp+bVr15CYmAh3d3d07NgRkyZNwpQpU7Bx40b07NkTd+7cwdGjR9GtWzc888wz0npxcXHw9fXFsGHDalQPQRRF8aGPhoiIiBqd48ePY9CgQSbLIyMjsXv3bpSWluKdd97B3r17cevWLXh6euKxxx7DqlWr0LVrVwCATqdD69atMWXKFKxevbpG9WAYISIiIlnx0l4iIiKSFcMIERERyYphhIiIiGTFMEJERESyYhghIiIiWTGMEBERkawYRoiIiEhWDCNEREQkK4YRIiIikhXDCBEREcmKYYSIiIhk9f8BarD6KC8olzYAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for category, y in ratios.items():\n", " plt.plot(nums[-2:], y[-2:], label=category)\n", "plt.legend()" ] } ], "metadata": { "kernelspec": { "display_name": ".solid.material", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 2 }