From 158e406f7cfd9e0d9f301ebbf187f07f5871f483 Mon Sep 17 00:00:00 2001 From: turtlebasket Date: Sat, 3 Dec 2022 00:35:22 -0800 Subject: [PATCH] a --- CMakeLists.txt | 1 - models-1.ipynb | 73 +++++++++++++++++++++++++++++++++++++++----------- 2 files changed, 58 insertions(+), 16 deletions(-) diff --git a/CMakeLists.txt b/CMakeLists.txt index 7ded449..1712ad3 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -20,4 +20,3 @@ set_source_files_properties(sim.i # set_property(SOURCE sim.i PROPERTY ) swig_add_library(sim TYPE MODULE LANGUAGE python SOURCES sim.i) swig_link_libraries(sim ${PYTHON_LIBRARIES}) - diff --git a/models-1.ipynb b/models-1.ipynb index a99c60c..3d8026b 100644 --- a/models-1.ipynb +++ b/models-1.ipynb @@ -14,26 +14,17 @@ "id": "fdb15ca5", "metadata": {}, "source": [ - "### Population Growth + Basic Exchange\n" + "### Simple Population Growth + Exchange\n", + "\n", + "Set up & run simulations:" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "aacc2bc9", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import sim\n", "import matplotlib.pyplot as plt\n", @@ -45,16 +36,68 @@ "res = sim.pop_simple(TIME, 81, 1000, 1000, 10, POP, 0.04, 1)\n", "# even dist.\n", "res2 = sim.pop_simple(TIME, 81, 1000, 1000, 10, POP, 0.04, 0)\n", - "\n", + "print(\"Done\")" + ] + }, + { + "cell_type": "markdown", + "id": "eec890cf", + "metadata": {}, + "source": [ + "Graph results:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "25e2e73e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ZWbL39+9PoPTj15zIyEi88soruHPnDnbv3o2FCxeWmE935swZHD9+/KF1unDhAry9vWXzxACgSZMmD63HwIED8c9//hP/93//h5iYGAQFBeGll17Cyy+/XGKfl6ZOnTqPNKn6/mNEoVCgUaNGVn8+2IULF+Dj4yMLyIDSj+Un3celfc4aNWpU4rh/6qmnANy9jKrT6XDhwgWzz/K6t64POlc8yKN+pu/vh+IAydfX12y6uf6xxGedHh2DokrkUUZpSitbfNIp/g93woQJCAkJMVv2/lu0H2Xugjkff/wxpkyZgtdffx0ffvghPDw8YGdnh7Fjx5r9j/thbSiLx2nnvYqDtbKe1K3t+vXr8PT0tPp2Bg0ahC+++AI//vgj+vfvj7Vr16Jp06Zo3bq1VKaoqAgBAQGYN2+e2XXc/wXwpPuzcePG0mTz559/Hvb29oiJicEzzzwjBXlFRUV47rnnSn34XfEX6ZNwdnbG/v37sWfPHmzduhXbt2/HmjVr8Oyzz2LHjh1l+pw+6WfJnNK+QAsLC8vtDtHH3ccV7XP2pErrh0fpn5ycnHL5rJMcg6JqqviWbkdHR+mLxlJKOzmvX78ezzzzDP71r3/J0h/3w188TJ+amlpqG560nfXq1YOzszPS09NL5JXWTj8/Pxw/fhxFRUWy/yxPnz4t5d/rzJkzJdbx+++/m32ycHp6uiwwsZbu3bvD29sba9asQdeuXbF7925p4nyxhg0b4rfffkNQUJBN/qP94IMP8NVXX2Hy5MnSHU4NGzbEzZs3H7qv/fz8sGvXLty8eVM2WpSWllambdvZ2SEoKAhBQUGYN28ePv74Y3zwwQfYs2cPgoODLd4f9x8jQgicPXsWrVq1ktLc3d3N3j134cIF2SMcHqVufn5+2LlzJ27cuCEbLSrtWH5cTZs2BQCznzPgfyO+99b9999/BwDpc+Ln52d2/91f1we131Kf6Sd16dIl5OXlSSNRVH44p6ia8vLyQs+ePfHFF1/gypUrJfKvXr362Ot2dXU1e3K2t7cv8R/RunXrHjin50Hatm0Lf39/zJ8/v8T2irfzpO10dHRE+/btzT5d3NXVFUajsUR6nz59YDAYZHNyCgoKsGjRItSoUQM9evSQld+0aZOsDw4fPozExESEhobKyhmNRpw7d67UO4UsqfhZKf/973/x73//GwUFBbJLZ8Dd5yZdunQJX331VYnl//7771LvULQUNzc3vPHGG/jpp5+kW5dfffVVJCQk4KeffipRPicnBwUFBQDu7qOCggIsXbpUyi8sLMSiRYseul1zt1AXPwSw+FEErq6u0jYtofgOxWLr16/HlStXZMdIw4YN8csvvyAvL09K27JlS4lb9x+lbsUPy/z8889l6Z999hkUCkWJY/Rx1alTB76+vqU+xf/y5cvYuHGj9N5kMuHbb79FmzZtoNPppLoePnxY9pTzW7du4csvv0T9+vXRvHlzAA9uv6U+008qKSkJQOl3BZL1cKSoGlu8eDG6du2KgIAAjBo1Cg0aNEBmZiYSEhLw559/lnh+UFm1a9cOS5cuxUcffYRGjRrBy8sLzz77LJ5//nnMnDkTI0aMQOfOnZGSkoKVK1c+9oMI7ezssHTpUvTt2xdt2rTBiBEj4O3tjdOnT+PEiRPSF+OTtrNfv3744IMPYDKZoFarZe1cs2YNxo8fjw4dOqBGjRro27cvIiMj8cUXX2D48OFISkpC/fr1sX79ehw8eBDz588vMT+jUaNG6Nq1K8aMGYPc3FzMnz8ftWrVKnEJaOfOndKt5PcaPnw4vvnmG6Snp5fpd6t+/PFH6T/ce3Xu3Fm2LwYOHIhFixZh2rRpCAgIKPFf69ChQ7F27VqMHj0ae/bsQZcuXVBYWIjTp09j7dq1+Omnn6z+kMh33nkH8+fPx6xZs7B69WpMnDgRP/zwA55//nkMHz4c7dq1w61bt5CSkoL169fj/Pnz8PT0RN++fdGlSxfExMTg/Pnz0nNvzH0h3m/mzJnYv38/wsLC4Ofnh6ysLCxZsgR169aVJvk2bNgQbm5uWLZsGWrWrAlXV1cEBgY+9rw8Dw8PdO3aFSNGjEBmZibmz5+PRo0aYdSoUVKZ//u//8P69evRu3dvvPrqqzh37hy+++472cTnR61b37598cwzz+CDDz7A+fPn0bp1a+zYsQObN2/G2LFjS6z7SfTr1w8bN240O5fmqaeewsiRI3HkyBFotVp8/fXXyMzMxPLly6UyMTEx+P777xEaGoq3334bHh4e0ufiP//5jzTC86D2W+oz/aTi4+NRr1493o5vC+V9uxs9XGm35Lu6upYoe//twsW3hM6ZM6dEWQBi2rRpsrRz586JYcOGCZ1OJxwdHUWdOnXE888/L9avX//A+tyfd+8t+QaDQYSFhYmaNWsKANLtwHfu3BHvvvuu8Pb2Fs7OzqJLly4iISGh1NuQ773V+t623X8r7YEDB8Rzzz0natasKVxdXUWrVq1K3AJclnaWJjMzUzg4OIh///vfsvSbN2+KIUOGCDc3NwFAditvZmamGDFihPD09BRKpVIEBASUqPe9++rTTz8Vvr6+QqVSiW7duonffvutRD0GDhwounbtWiJ9wIABwtnZucRjCe73oFvyzfVrUVGR8PX1NXtLdrG8vDzxySefiBYtWgiVSiXc3d1Fu3btxIwZM4TRaJTKARBRUVElli/tNvJ7PeiYFkKI4cOHC3t7e+lW8Bs3bojY2FjRqFEjoVQqhaenp+jcubOYO3euyMvLk5a7du2aGDp0qFCr1UKj0YihQ4eKY8eOPfSW/F27dol+/foJHx8foVQqhY+Pjxg8eHCJxwBs3rxZNG/eXDg4OMjW2aNHD9GiRQuzbSnts/D999+L2NhY4eXlJZydnUVYWJi4cOFCieU//fRTUadOHaFSqUSXLl3E0aNHS6zzQXW7/5b84v4cN26c8PHxEY6OjqJx48Zizpw5ssdeCPFk+1gIIX799dcSt9QXLx8WFiZ++ukn0apVK6FSqUTTpk1LnB+EuPs5f/nll4Wbm5twcnISHTt2FFu2bClRrrT2W/Izfa/Szmnmzq2FhYXC29tbTJ48+aF9RpanEOIRZq0SVVMjR47E77//jp9//tli6zx//jz8/f0xZ84c2VOizTEYDPD398fq1atLjBRptVoMGzYMc+bMsVjdiGwhKCgIPj4++Pe//23rqtjMpk2bMGTIEJw7dw7e3t62rk61wzlFRGUwbdo0HDlyRHpqcXmbP38+AgICSgREJ06cwN9//41JkybZpF5ElvTxxx9jzZo1JW5xr04++eQTREdHMyCyEY4UEdnIo4wUERGR9XGkiIiIiAgcKSIiIiICwJEiIiIiIgAMioiIiIgAMCgiIiIiAsCgiIiIiAgAgyIiIiIiAAyKiIiIiAAwKCIiIiICwKCIiIiICACDIiIiIiIADIqIiIiIADAoIiIiIgLAoIiIiIgIAIMiIiIiIgAMioiIiIgAMCgiIiIiAsCgiIiIiAgAgyIiIiIiAAyKiIiIiAAwKCIiIiICwKCIiIiICACDIiIiIiIADIqIiIiIADAoIiIiIgLAoIiIiIgIAIMiIiIiIgAMioiIiIgAMCgiIiIiAsCgiIiIiAgA4PCoC+zfvx9z5sxBUlISrly5go0bN6J///4AgPz8fEyePBnbtm3DH3/8AY1Gg+DgYMyaNQs+Pj7SOurXr48LFy7I1hsXF4eYmBjp/fHjxxEVFYUjR46gdu3aeOutt/Dee++VuZ5FRUW4fPkyatasCYVC8ajNJCIiIhsQQuDGjRvw8fGBnV35jt08clB069YttG7dGq+//jpeeuklWd7t27fx66+/YsqUKWjdujWuX7+Od955By+88AKOHj0qKztz5kyMGjVKel+zZk3pb5PJhF69eiE4OBjLli1DSkoKXn/9dbi5uSEyMrJM9bx8+TJ8fX0ftXlERERUAVy8eBF169Yt120+clAUGhqK0NBQs3kajQbx8fGytM8//xwdO3ZERkYG6tWrJ6XXrFkTOp3O7HpWrlyJvLw8fP3111AqlWjRogWSk5Mxb968MgdFxUHWxYsXoVary7QMERER2ZbJZIKvr69ssKS8PHJQ9KiMRiMUCgXc3Nxk6bNmzcKHH36IevXqYciQIRg3bhwcHO5WJyEhAd27d4dSqZTKh4SE4JNPPsH169fh7u5eYju5ubnIzc2V3t+4cQMAoFarGRQRERFVMraY+mLVoOjOnTuYNGkSBg8eLAtM3n77bbRt2xYeHh44dOgQYmNjceXKFcybNw8AYDAY4O/vL1uXVquV8swFRXFxcZgxY4YVW0NERERVmdWCovz8fLz66qsQQmDp0qWyvPHjx0t/t2rVCkqlEm+88Qbi4uKgUqkea3uxsbGy9RYPvxERERGVhVWCouKA6MKFC9i9e/dDL18FBgaioKAA58+fR5MmTaDT6ZCZmSkrU/y+tHlIKpXqsQMqIiIiIovf61YcEJ05cwY7d+5ErVq1HrpMcnIy7Ozs4OXlBQDQ6/XYv38/8vPzpTLx8fFo0qSJ2UtnRERERE/qkUeKbt68ibNnz0rv09PTkZycDA8PD3h7e+Pll1/Gr7/+ii1btqCwsBAGgwEA4OHhAaVSiYSEBCQmJuKZZ55BzZo1kZCQgHHjxuG1116TAp4hQ4ZgxowZGDlyJCZNmoTU1FQsWLAAn332mYWaTURERCSnEEKIR1lg7969eOaZZ0qkR0REYPr06SUmSBfbs2cPevbsiV9//RVvvvkmTp8+jdzcXPj7+2Po0KEYP3687PLXvQ9v9PT0xFtvvYVJkyaVuZ4mkwkajQZGo5F3n5FN1I/ZKv19flaYDWtCRFR52PL7+5GDosqCQRHZyr3BUDEGRUREZWPL72/+9hkRERERyuHhjUT0P7ykRkRUcTEoIioH5i6pERFRxcLLZ0RERETgSBHRA/FyFxFR9cGgiOgR8e4yIqKqiZfPiGykfsxWzjUiIqpAGBQRERERgZfPiMqMozpERFUbR4qIiIiIwJEiIpvjHW5ERBUDR4qIiIiIwKCIiIiICACDIiIiIiIADIqIKjw+z4iIqHwwKCIiIiIC7z4jkjzJXWCWHsl52PqK83m3GhGR5XCkiIiIiAgcKSIyi3N4iIiqH44UEREREYFBEREREREAXj4jqlB42Y6IyHYeeaRo//796Nu3L3x8fKBQKLBp0yZZvhACU6dOhbe3N5ydnREcHIwzZ87IymRnZyM8PBxqtRpubm4YOXIkbt68KStz/PhxdOvWDU5OTvD19cXs2bMfvXVEZcDnABEREfAYQdGtW7fQunVrLF682Gz+7NmzsXDhQixbtgyJiYlwdXVFSEgI7ty5I5UJDw/HiRMnEB8fjy1btmD//v2IjIyU8k0mE3r16gU/Pz8kJSVhzpw5mD59Or788svHaCIRERHRwz3y5bPQ0FCEhoaazRNCYP78+Zg8eTL69esHAPj222+h1WqxadMmDBo0CKdOncL27dtx5MgRtG/fHgCwaNEi9OnTB3PnzoWPjw9WrlyJvLw8fP3111AqlWjRogWSk5Mxb948WfBEREREZCkWnWidnp4Og8GA4OBgKU2j0SAwMBAJCQkAgISEBLi5uUkBEQAEBwfDzs4OiYmJUpnu3btDqVRKZUJCQpCWlobr16+b3XZubi5MJpPsRURERFRWFg2KDAYDAECr1crStVqtlGcwGODl5SXLd3BwgIeHh6yMuXXcu437xcXFQaPRSC9fX98nbxARERFVG1XmlvzY2FgYjUbpdfHiRVtXicjqiieJc6I4EdGTs2hQpNPpAACZmZmy9MzMTClPp9MhKytLll9QUIDs7GxZGXPruHcb91OpVFCr1bIX0f0YQBARUWksGhT5+/tDp9Nh165dUprJZEJiYiL0ej0AQK/XIycnB0lJSVKZ3bt3o6ioCIGBgVKZ/fv3Iz8/XyoTHx+PJk2awN3d3ZJVpmqKIyxERHS/Rw6Kbt68ieTkZCQnJwO4O7k6OTkZGRkZUCgUGDt2LD766CP88MMPSElJwbBhw+Dj44P+/fsDAJo1a4bevXtj1KhROHz4MA4ePIjo6GgMGjQIPj4+AIAhQ4ZAqVRi5MiROHHiBNasWYMFCxZg/PjxFms4ERER0b0e+Zb8o0eP4plnnpHeFwcqERERWLFiBd577z3cunULkZGRyMnJQdeuXbF9+3Y4OTlJy6xcuRLR0dEICgqCnZ0dBgwYgIULF0r5Go0GO3bsQFRUFNq1awdPT09MnTqVt+NTtcZRLSIi61IIIYStK2ENJpMJGo0GRqOR84tIUpUDi/OzwmxdBSKiJ2bL7+8qc/cZERER0ZPgD8ISVRHmRsE4ekREVHYcKSIiIiICgyIiIiIiALx8RlSl8ZIaEVHZcaSIiIiICAyKiIiIiAAwKCIiIiICwDlFVA1U5Qc2EhGR5XCkiIiIiAgMioiIiIgAMCgiqnbqx2zlJUUiIjMYFBERERGBQRERERERAN59RlUYLxEREdGj4EgRERERERgUEREREQFgUEREREQEgHOKqIrhPCIiInpcHCkiIiIiAoMiIiIiIgAMioiIiIgAWCEoql+/PhQKRYlXVFQUAKBnz54l8kaPHi1bR0ZGBsLCwuDi4gIvLy9MnDgRBQUFlq4qERERkcTiE62PHDmCwsJC6X1qaiqee+45vPLKK1LaqFGjMHPmTOm9i4uL9HdhYSHCwsKg0+lw6NAhXLlyBcOGDYOjoyM+/vhjS1eXiIiICIAVgqLatWvL3s+aNQsNGzZEjx49pDQXFxfodDqzy+/YsQMnT57Ezp07odVq0aZNG3z44YeYNGkSpk+fDqVSaekqE1VL996pd35WmA1rQkRUMVh1TlFeXh6+++47vP7661AoFFL6ypUr4enpiZYtWyI2Nha3b9+W8hISEhAQEACtViulhYSEwGQy4cSJE6VuKzc3FyaTSfYiIiIiKiurPqdo06ZNyMnJwfDhw6W0IUOGwM/PDz4+Pjh+/DgmTZqEtLQ0bNiwAQBgMBhkAREA6b3BYCh1W3FxcZgxY4blG0FUDRSPGnHEiIiqM6sGRf/6178QGhoKHx8fKS0yMlL6OyAgAN7e3ggKCsK5c+fQsGHDx95WbGwsxo8fL703mUzw9fV97PURERFR9WK1oOjChQvYuXOnNAJUmsDAQADA2bNn0bBhQ+h0Ohw+fFhWJjMzEwBKnYcEACqVCiqV6glrTURERNWV1eYULV++HF5eXggLe/BwfHJyMgDA29sbAKDX65GSkoKsrCypTHx8PNRqNZo3b26t6hIREVE1Z5WRoqKiIixfvhwRERFwcPjfJs6dO4dVq1ahT58+qFWrFo4fP45x48ahe/fuaNWqFQCgV69eaN68OYYOHYrZs2fDYDBg8uTJiIqK4kgQERERWY1VgqKdO3ciIyMDr7/+uixdqVRi586dmD9/Pm7dugVfX18MGDAAkydPlsrY29tjy5YtGDNmDPR6PVxdXRERESF7rhHR/fhDsERE9KSsEhT16tULQogS6b6+vti3b99Dl/fz88O2bdusUTUiIiIis/jbZ0RERESw8i35RFS58CnXRFSdMSiiSovziIiIyJIYFFGlw2CIiIisgXOKiIiIiMCgiIiIiAgAL58R0UNw8jURVRcMiojILM7dIqLqhpfPiIiIiMCgiIiIiAgAgyIiIiIiAAyKiIiIiAAwKCIiIiICwKCIiIiICACDIiIiIiIADIqI6BHUj9nK5xcRUZXFoIgqNH4JExFReWFQRERERAQGRUREREQAGBQRERERAeAPwlIFxDlERERkCwyKqFJgoERERNZm8ctn06dPh0KhkL2aNm0q5d+5cwdRUVGoVasWatSogQEDBiAzM1O2joyMDISFhcHFxQVeXl6YOHEiCgoKLF1VIiIiIolVRopatGiBnTt3/m8jDv/bzLhx47B161asW7cOGo0G0dHReOmll3Dw4EEAQGFhIcLCwqDT6XDo0CFcuXIFw4YNg6OjIz7++GNrVJeIHtG9I3fnZ4XZsCZERJZjlaDIwcEBOp2uRLrRaMS//vUvrFq1Cs8++ywAYPny5WjWrBl++eUXdOrUCTt27MDJkyexc+dOaLVatGnTBh9++CEmTZqE6dOnQ6lUWqPKRPSEGCgRUWVnlbvPzpw5Ax8fHzRo0ADh4eHIyMgAACQlJSE/Px/BwcFS2aZNm6JevXpISEgAACQkJCAgIABarVYqExISApPJhBMnTpS6zdzcXJhMJtmLiIiIqKwsPlIUGBiIFStWoEmTJrhy5QpmzJiBbt26ITU1FQaDAUqlEm5ubrJltFotDAYDAMBgMMgCouL84rzSxMXFYcaMGZZtDBE9FCfBE1FVYfGgKDQ0VPq7VatWCAwMhJ+fH9auXQtnZ2dLb04SGxuL8ePHS+9NJhN8fX2ttj0iIiKqWqz+8EY3Nzc89dRTOHv2LHQ6HfLy8pCTkyMrk5mZKc1B0ul0Je5GK35vbp5SMZVKBbVaLXsRkW3wN+uIqDKyelB08+ZNnDt3Dt7e3mjXrh0cHR2xa9cuKT8tLQ0ZGRnQ6/UAAL1ej5SUFGRlZUll4uPjoVar0bx5c2tXl4iIiKopi18+mzBhAvr27Qs/Pz9cvnwZ06ZNg729PQYPHgyNRoORI0di/Pjx8PDwgFqtxltvvQW9Xo9OnToBAHr16oXmzZtj6NChmD17NgwGAyZPnoyoqCioVCpLV5eIiIgIgBWCoj///BODBw/GtWvXULt2bXTt2hW//PILateuDQD47LPPYGdnhwEDBiA3NxchISFYsmSJtLy9vT22bNmCMWPGQK/Xw9XVFREREZg5c6alq0oVDC+3EBGRLSmEEMLWlbAGk8kEjUYDo9HI+UWVBIOiqofPKyKiR2XL72+rzykiIiIiqgwYFBERERGBQRERERERAAZFRERERACs9IOwRGXFydVVG38klogqE44UEVG54FOuiaiiY1BEREREBAZFRERERAAYFBEREREB4ERrIipnnHxNRBUVR4qIiIiIwKCIiIiICACDIiIiIiIAnFNENsLn1RARUUXDkSIishk+0JGIKhKOFBGRzfGONCKqCDhSRERERASOFFE54mUSIiKqyDhSRERERAQGRURUwXDyNRHZCoMiIiIiInBOEZUD/tdPRESVgcVHiuLi4tChQwfUrFkTXl5e6N+/P9LS0mRlevbsCYVCIXuNHj1aViYjIwNhYWFwcXGBl5cXJk6ciIKCAktXl4iIiAiAFUaK9u3bh6ioKHTo0AEFBQV4//330atXL5w8eRKurq5SuVGjRmHmzJnSexcXF+nvwsJChIWFQafT4dChQ7hy5QqGDRsGR0dHfPzxx5auMhEREZHlg6Lt27fL3q9YsQJeXl5ISkpC9+7dpXQXFxfodDqz69ixYwdOnjyJnTt3QqvVok2bNvjwww8xadIkTJ8+HUql0tLVJiIiomrO6hOtjUYjAMDDw0OWvnLlSnh6eqJly5aIjY3F7du3pbyEhAQEBARAq9VKaSEhITCZTDhx4oTZ7eTm5sJkMsleRERERGVl1YnWRUVFGDt2LLp06YKWLVtK6UOGDIGfnx98fHxw/PhxTJo0CWlpadiwYQMAwGAwyAIiANJ7g8FgdltxcXGYMWOGlVpCZVU8qZo/1UBPij/9QUTlzapBUVRUFFJTU3HgwAFZemRkpPR3QEAAvL29ERQUhHPnzqFhw4aPta3Y2FiMHz9eem8ymeDr6/t4FacnxjvOiIiosrFaUBQdHY0tW7Zg//79qFu37gPLBgYGAgDOnj2Lhg0bQqfT4fDhw7IymZmZAFDqPCSVSgWVSmWBmhNRRWMuyOboERFZmsXnFAkhEB0djY0bN2L37t3w9/d/6DLJyckAAG9vbwCAXq9HSkoKsrKypDLx8fFQq9Vo3ry5patMREREZPmRoqioKKxatQqbN29GzZo1pTlAGo0Gzs7OOHfuHFatWoU+ffqgVq1aOH78OMaNG4fu3bujVatWAIBevXqhefPmGDp0KGbPng2DwYDJkycjKiqKo0FERERkFRYfKVq6dCmMRiN69uwJb29v6bVmzRoAgFKpxM6dO9GrVy80bdoU7777LgYMGID//ve/0jrs7e2xZcsW2NvbQ6/X47XXXsOwYcNkzzUiIiIisiSFEELYuhLWYDKZoNFoYDQaoVarbV2daoMTrKm8cW4RUdViy+9v/iAsEREREfiDsGQBHB2iioLPySKiJ8GRIiIiIiJwpIieAEeIqCLgcUhElsKgiIiqHP5ECBE9Dl4+I6IqrX7MVo4mEVGZMCgiIiIiAi+f0SPif9xU1fHSG1H1xZEiIqp2eEmNiMxhUEREREQEXj4jomqCI0NE9DAMiqhM+IVCRERVHS+fEREREYEjRURUjT3sTjP+lhpR9cKgiErgpTKqjnjcExGDIiKih+Czi4iqB84pIiIiIgJHiuj/46UDorIx91nh6BFR1cCgiIjoCTFQIqoaGBRVQxwVIrI+3rlGVPkwKCIiKmecuE1UMSmEEMLWlSjN4sWLMWfOHBgMBrRu3RqLFi1Cx44dy7SsyWSCRqOB0WiEWq22ck0rhgf9Z8rRIaKKjcER0V22/P6usCNFa9aswfjx47Fs2TIEBgZi/vz5CAkJQVpaGry8vGxdvQqNARBR5fOwzy2DJiLrq7AjRYGBgejQoQM+//xzAEBRURF8fX3x1ltvISYm5qHLV/aRInPD62V9+i4RVQ8MlKgqsuX3d4UMivLy8uDi4oL169ejf//+UnpERARycnKwefPmh67Dmp1qqfkADGKIqCIo63mMk8epPPDy2X3++usvFBYWQqvVytK1Wi1Onz5tdpnc3Fzk5uZK741GI4C7nWtpRbm3pb/Nrb/ltJ8svk0iImupN26dVcsDQOqMEACPd3580LLFeWXJL0/FdbHU9i29voqs+HvVFmM2FTIoehxxcXGYMWNGiXRfX1+rblcz36qrJyKqEp7kXPmgZR+2Xlufoy29fVu3pzzduHEDGo2mXLdZIYMiT09P2NvbIzMzU5aemZkJnU5ndpnY2FiMHz9eel9UVITs7GzUqlULCoWizNs2mUzw9fXFxYsXK+VcpEfF9lZtbG/VVt3aC1S/NlfX9p48eRI+Pj7lvv0KGRQplUq0a9cOu3btkuYUFRUVYdeuXYiOjja7jEqlgkqlkqW5ubk9dh3UanW1OACLsb1VG9tbtVW39gLVr83Vrb116tSBnV35/zxrhQyKAGD8+PGIiIhA+/bt0bFjR8yfPx+3bt3CiBEjbF01IiIiqoIqbFA0cOBAXL16FVOnToXBYECbNm2wffv2EpOviYiIiCyhwgZFABAdHV3q5TJrUalUmDZtWolLcVUV21u1sb1VW3VrL1D92sz2lq8K+ZwiIiIiovJW/rOYiIiIiCogBkVEREREYFBEREREBIBBEREREREABkUyixcvRv369eHk5ITAwEAcPnzY1lV6qOnTp0OhUMheTZs2lfLv3LmDqKgo1KpVCzVq1MCAAQNKPCk8IyMDYWFhcHFxgZeXFyZOnIiCggJZmb1796Jt27ZQqVRo1KgRVqxYUR7NAwDs378fffv2hY+PDxQKBTZt2iTLF0Jg6tSp8Pb2hrOzM4KDg3HmzBlZmezsbISHh0OtVsPNzQ0jR47EzZs3ZWWOHz+Obt26wcnJCb6+vpg9e3aJuqxbtw5NmzaFk5MTAgICsG3btnJv7/Dhw0vs8969e1fK9sbFxaFDhw6oWbMmvLy80L9/f6SlpcnKlOcxXB7ngLK0uWfPniX28ejRoytlm5cuXYpWrVpJDx/U6/X48ccfpfyqtn8f1t6qtG/NmTVrFhQKBcaOHSulVap9LEgIIcTq1auFUqkUX3/9tThx4oQYNWqUcHNzE5mZmbau2gNNmzZNtGjRQly5ckV6Xb16VcofPXq08PX1Fbt27RJHjx4VnTp1Ep07d5byCwoKRMuWLUVwcLA4duyY2LZtm/D09BSxsbFSmT/++EO4uLiI8ePHi5MnT4pFixYJe3t7sX379nJp47Zt28QHH3wgNmzYIACIjRs3yvJnzZolNBqN2LRpk/jtt9/ECy+8IPz9/cXff/8tlendu7do3bq1+OWXX8TPP/8sGjVqJAYPHizlG41GodVqRXh4uEhNTRXff/+9cHZ2Fl988YVU5uDBg8Le3l7Mnj1bnDx5UkyePFk4OjqKlJSUcm1vRESE6N27t2yfZ2dny8pUlvaGhISI5cuXi9TUVJGcnCz69Okj6tWrJ27evCmVKa9juLzOAWVpc48ePcSoUaNk+9hoNFbKNv/www9i69at4vfffxdpaWni/fffF46OjiI1NVUIUfX278PaW5X27f0OHz4s6tevL1q1aiXeeecdKb0y7WMGRf9fx44dRVRUlPS+sLBQ+Pj4iLi4OBvW6uGmTZsmWrdubTYvJydHODo6inXr1klpp06dEgBEQkKCEOLuF7CdnZ0wGAxSmaVLlwq1Wi1yc3OFEEK89957okWLFrJ1Dxw4UISEhFi4NQ93f5BQVFQkdDqdmDNnjpSWk5MjVCqV+P7774UQQpw8eVIAEEeOHJHK/Pjjj0KhUIhLly4JIYRYsmSJcHd3l9oshBCTJk0STZo0kd6/+uqrIiwsTFafwMBA8cYbb1i0jfcqLSjq169fqctU5vZmZWUJAGLfvn1CiPI9hm11Dri/zULc/eK890vlfpW9ze7u7uKf//xntdi/QvyvvUJU3X1748YN0bhxYxEfHy9rY2Xbx7x8BiAvLw9JSUkIDg6W0uzs7BAcHIyEhAQb1qxszpw5Ax8fHzRo0ADh4eHIyMgAACQlJSE/P1/WrqZNm6JevXpSuxISEhAQECB7UnhISAhMJhNOnDghlbl3HcVlKkLfpKenw2AwyOqn0WgQGBgoa6Obmxvat28vlQkODoadnR0SExOlMt27d4dSqZTKhISEIC0tDdevX5fKVJR+2Lt3L7y8vNCkSROMGTMG165dk/Iqc3uNRiMAwMPDA0D5HcO2PAfc3+ZiK1euhKenJ1q2bInY2Fjcvn1byqusbS4sLMTq1atx69Yt6PX6Kr9/729vsaq4b6OiohAWFlaiXpVtH1foJ1qXl7/++guFhYUlfkJEq9Xi9OnTNqpV2QQGBmLFihVo0qQJrly5ghkzZqBbt25ITU2FwWCAUqks8cO4Wq0WBoMBAGAwGMy2uzjvQWVMJhP+/vtvODs7W6l1D1dcR3P1u7f+Xl5esnwHBwd4eHjIyvj7+5dYR3Geu7t7qf1QvI7y0rt3b7z00kvw9/fHuXPn8P777yM0NBQJCQmwt7evtO0tKirC2LFj0aVLF7Rs2VKqS3kcw9evX7fJOcBcmwFgyJAh8PPzg4+PD44fP45JkyYhLS0NGzZseGB7ivMeVMYWbU5JSYFer8edO3dQo0YNbNy4Ec2bN0dycnKV3L+ltReoevsWAFavXo1ff/0VR44cKZFX2T7DDIoqudDQUOnvVq1aITAwEH5+fli7dq1NgxWynkGDBkl/BwQEoFWrVmjYsCH27t2LoKAgG9bsyURFRSE1NRUHDhywdVXKTWltjoyMlP4OCAiAt7c3goKCcO7cOTRs2LC8q/nEmjRpguTkZBiNRqxfvx4RERHYt2+fratlNaW1t3nz5lVu3168eBHvvPMO4uPj4eTkZOvqPDFePgPg6ekJe3v7ErPhMzMzodPpbFSrx+Pm5oannnoKZ8+ehU6nQ15eHnJycmRl7m2XTqcz2+7ivAeVUavVNg+8iuv4oH2n0+mQlZUlyy8oKEB2drZF+sHWx0iDBg3g6emJs2fPAqic7Y2OjsaWLVuwZ88e1K1bV0ovr2PYFueA0tpsTmBgIADI9nFlarNSqUSjRo3Qrl07xMXFoXXr1liwYEGV3b+ltdecyr5vk5KSkJWVhbZt28LBwQEODg7Yt28fFi5cCAcHB2i12kq1jxkU4e4B3K5dO+zatUtKKyoqwq5du2TXgSuDmzdv4ty5c/D29ka7du3g6Ogoa1daWhoyMjKkdun1eqSkpMi+ROPj46FWq6XhXr1eL1tHcZmK0Df+/v7Q6XSy+plMJiQmJsramJOTg6SkJKnM7t27UVRUJJ2Q9Ho99u/fj/z8fKlMfHw8mjRpAnd3d6lMReyHP//8E9euXYO3tzeAytVeIQSio6OxceNG7N69u8QlvfI6hsvzHPCwNpuTnJwMALJ9XJnafL+ioiLk5uZWyf1rTnF7zans+zYoKAgpKSlITk6WXu3bt0d4eLj0d6Xax2Wekl3FrV69WqhUKrFixQpx8uRJERkZKdzc3GSz4Suid999V+zdu1ekp6eLgwcPiuDgYOHp6SmysrKEEHdvhaxXr57YvXu3OHr0qNDr9UKv10vLF98K2atXL5GcnCy2b98uateubfZWyIkTJ4pTp06JxYsXl+st+Tdu3BDHjh0Tx44dEwDEvHnzxLFjx8SFCxeEEHdvyXdzcxObN28Wx48fF/369TN7S/7TTz8tEhMTxYEDB0Tjxo1lt6jn5OQIrVYrhg4dKlJTU8Xq1auFi4tLiVvUHRwcxNy5c8WpU6fEtGnTrHJL/oPae+PGDTFhwgSRkJAg0tPTxc6dO0Xbtm1F48aNxZ07dypde8eMGSM0Go3Yu3ev7Bbl27dvS2XK6xgur3PAw9p89uxZMXPmTHH06FGRnp4uNm/eLBo0aCC6d+9eKdscExMj9u3bJ9LT08Xx48dFTEyMUCgUYseOHUKIqrd/H9TeqrZvS3P/HXaVaR8zKLrHokWLRL169YRSqRQdO3YUv/zyi62r9FADBw4U3t7eQqlUijp16oiBAweKs2fPSvl///23ePPNN4W7u7twcXERL774orhy5YpsHefPnxehoaHC2dlZeHp6infffVfk5+fLyuzZs0e0adNGKJVK0aBBA7F8+fLyaJ60bQAlXhEREUKIu7flT5kyRWi1WqFSqURQUJBIS0uTrePatWti8ODBokaNGkKtVosRI0aIGzduyMr89ttvomvXrkKlUok6deqIWbNmlajL2rVrxVNPPSWUSqVo0aKF2Lp1a7m29/bt26JXr16idu3awtHRUfj5+YlRo0aV+NBXlvaaaycA2fFVnsdweZwDHtbmjIwM0b17d+Hh4SFUKpVo1KiRmDhxouxZNpWpza+//rrw8/MTSqVS1K5dWwQFBUkBkRBVb/8+qL1Vbd+W5v6gqDLtY4UQQpR9XImIiIioauKcIiIiIiIwKCIiIiICwKCIiIiICACDIiIiIiIADIqIiIiIADAoIiIiIgLAoIiIiIgIAIMiIiIiIgAMioiIiIgAMCgiIiIiAgA42LoC1lJUVITLly+jZs2aUCgUtq4OERERlYEQAjdu3ICPjw/s7Mp37KbKBkWXL1+Gr6+vratBREREj+HixYuoW7duuW6zygZFNWvWBHC3U9VqtY1rQ0RERGVhMpng6+srfY+XpyobFBVfMlOr1QyKiIiIKhlbTH3hRGsiIiIiMCgiIiIiAsCgiIiIiAgAgyIiIiIiAAyKiIiIiABU4bvPiKqD+jFbpb/PzwqzYU2IiCo/BkVE1QCDJyKih+PlMyIiIiIwKCIiIiICwMtnRBUSL3cREZU/jhQRERERgUERUZVRP2arbISJiIgeDS+fEVUglghqGBgRET0eBkVEFZy5IIfzjIiILO+RL5/t378fffv2hY+PDxQKBTZt2iTLF0Jg6tSp8Pb2hrOzM4KDg3HmzBlZmezsbISHh0OtVsPNzQ0jR47EzZs3ZWWOHz+Obt26wcnJCb6+vpg9e/ajt46IiIiojB45KLp16xZat26NxYsXm82fPXs2Fi5ciGXLliExMRGurq4ICQnBnTt3pDLh4eE4ceIE4uPjsWXLFuzfvx+RkZFSvslkQq9eveDn54ekpCTMmTMH06dPx5dffvkYTSSyveL5Pve+iIioYnnky2ehoaEIDQ01myeEwPz58zF58mT069cPAPDtt99Cq9Vi06ZNGDRoEE6dOoXt27fjyJEjaN++PQBg0aJF6NOnD+bOnQsfHx+sXLkSeXl5+Prrr6FUKtGiRQskJydj3rx5suCJqLpiUEVEZHkWvfssPT0dBoMBwcHBUppGo0FgYCASEhIAAAkJCXBzc5MCIgAIDg6GnZ0dEhMTpTLdu3eHUqmUyoSEhCAtLQ3Xr183u+3c3FyYTCbZi4iIiKisLBoUGQwGAIBWq5Wla7VaKc9gMMDLy0uW7+DgAA8PD1kZc+u4dxv3i4uLg0ajkV6+vr5P3iAiK+JlNCKiiqXKPKcoNjYWRqNRel28eNHWVSKqkMwFYwzQiIgsfEu+TqcDAGRmZsLb21tKz8zMRJs2baQyWVlZsuUKCgqQnZ0tLa/T6ZCZmSkrU/y+uMz9VCoVVCqVRdpBVJ4YjBARVQwWHSny9/eHTqfDrl27pDSTyYTExETo9XoAgF6vR05ODpKSkqQyu3fvRlFREQIDA6Uy+/fvR35+vlQmPj4eTZo0gbu7uyWrTFRt8U44IiK5Rw6Kbt68ieTkZCQnJwO4O7k6OTkZGRkZUCgUGDt2LD766CP88MMPSElJwbBhw+Dj44P+/fsDAJo1a4bevXtj1KhROHz4MA4ePIjo6GgMGjQIPj4+AIAhQ4ZAqVRi5MiROHHiBNasWYMFCxZg/PjxFms4ERER0b0e+fLZ0aNH8cwzz0jviwOViIgIrFixAu+99x5u3bqFyMhI5OTkoGvXrti+fTucnJykZVauXIno6GgEBQXBzs4OAwYMwMKFC6V8jUaDHTt2ICoqCu3atYOnpyemTp3K2/GJiIjIahRCCGHrSliDyWSCRqOB0WiEWq22dXWomqssl6j48yFEZGu2/P6uMnefERERET0J/iAskZVUltEhIiK6iyNFREREROBIEZHFcYSIiKhy4kgREZnFZxgRUXXDoIiIiIgIDIqIiIiIAHBOERHdg5fLiKg640gRERERERgUEdEj4ORrIqrKGBQRERERgXOKiOgx3DtaxN9LI6KqgkERkQXwkhIRUeXHy2dEREREYFBEREREBIBBEREREREABkVEREREABgUEREREQFgUEREREQEwApBUWFhIaZMmQJ/f384OzujYcOG+PDDDyGEkMoIITB16lR4e3vD2dkZwcHBOHPmjGw92dnZCA8Ph1qthpubG0aOHImbN29aurpET4RPeCYiqjosHhR98sknWLp0KT7//HOcOnUKn3zyCWbPno1FixZJZWbPno2FCxdi2bJlSExMhKurK0JCQnDnzh2pTHh4OE6cOIH4+Hhs2bIF+/fvR2RkpKWrS0RERATACg9vPHToEPr164ewsLtPua1fvz6+//57HD58GMDdUaL58+dj8uTJ6NevHwDg22+/hVarxaZNmzBo0CCcOnUK27dvx5EjR9C+fXsAwKJFi9CnTx/MnTsXPj4+lq42ERERVXMWD4o6d+6ML7/8Er///jueeuop/Pbbbzhw4ADmzZsHAEhPT4fBYEBwcLC0jEajQWBgIBISEjBo0CAkJCTAzc1NCogAIDg4GHZ2dkhMTMSLL75YYru5ubnIzc2V3ptMJks3jaq56nqZrLq2m4iqH4sHRTExMTCZTGjatCns7e1RWFiIf/zjHwgPDwcAGAwGAIBWq5Utp9VqpTyDwQAvLy95RR0c4OHhIZW5X1xcHGbMmGHp5hAREVE1YfE5RWvXrsXKlSuxatUq/Prrr/jmm28wd+5cfPPNN5belExsbCyMRqP0unjxolW3R0RERFWLxUeKJk6ciJiYGAwaNAgAEBAQgAsXLiAuLg4RERHQ6XQAgMzMTHh7e0vLZWZmok2bNgAAnU6HrKws2XoLCgqQnZ0tLX8/lUoFlUpl6eZQNcdLR0RE1YfFR4pu374NOzv5au3t7VFUVAQA8Pf3h06nw65du6R8k8mExMRE6PV6AIBer0dOTg6SkpKkMrt370ZRURECAwMtXWUiegJ8LAERVRUWHynq27cv/vGPf6BevXpo0aIFjh07hnnz5uH1118HACgUCowdOxYfffQRGjduDH9/f0yZMgU+Pj7o378/AKBZs2bo3bs3Ro0ahWXLliE/Px/R0dEYNGgQ7zwjIiIiq7B4ULRo0SJMmTIFb775JrKysuDj44M33ngDU6dOlcq89957uHXrFiIjI5GTk4OuXbti+/btcHJyksqsXLkS0dHRCAoKgp2dHQYMGICFCxdaurpEZnHkg4io+lGIex81XYWYTCZoNBoYjUao1WpbV4cqGQZFj+78rDBbV4GIqgBbfn/zt8+IiIiIwKCIiIiICACDIiKyAt6RRkSVkcUnWhNR9cQgiIgqO44UEVG54OgREVV0DIqIiIiIwKCIiIiICACDIiIiIiIAnGhNROXs3nlFfOAjEVUkDIqI/j9OAiYiqt54+YyIiIgIHCkiIivi6BsRVSYcKSIiIiICgyIiIiIiAAyKiIiIiAAwKCIiIiICwKCIiIiICACDIiIiIiIAVgqKLl26hNdeew21atWCs7MzAgICcPToUSlfCIGpU6fC29sbzs7OCA4OxpkzZ2TryM7ORnh4ONRqNdzc3DBy5EjcvHnTGtUlIiIisnxQdP36dXTp0gWOjo748ccfcfLkSXz66adwd3eXysyePRsLFy7EsmXLkJiYCFdXV4SEhODOnTtSmfDwcJw4cQLx8fHYsmUL9u/fj8jISEtXl4iIiAgAoBBCCEuuMCYmBgcPHsTPP/9sNl8IAR8fH7z77ruYMGECAMBoNEKr1WLFihUYNGgQTp06hebNm+PIkSNo3749AGD79u3o06cP/vzzT/j4+Dy0HiaTCRqNBkajEWq12nINpCqHDxi0Hf72GRHdz5bf3xYfKfrhhx/Qvn17vPLKK/Dy8sLTTz+Nr776SspPT0+HwWBAcHCwlKbRaBAYGIiEhAQAQEJCAtzc3KSACACCg4NhZ2eHxMREs9vNzc2FyWSSvYiIiIjKyuJB0R9//IGlS5eicePG+OmnnzBmzBi8/fbb+OabbwAABoMBAKDVamXLabVaKc9gMMDLy0uW7+DgAA8PD6nM/eLi4qDRaKSXr6+vpZtGREREVZjFg6KioiK0bdsWH3/8MZ5++mlERkZi1KhRWLZsmaU3JRMbGwuj0Si9Ll68aNXtEdGTqx+zlZcviajCsPgPwnp7e6N58+aytGbNmuE///kPAECn0wEAMjMz4e3tLZXJzMxEmzZtpDJZWVmydRQUFCA7O1ta/n4qlQoqlcpSzaAqjl/ERER0P4uPFHXp0gVpaWmytN9//x1+fn4AAH9/f+h0OuzatUvKN5lMSExMhF6vBwDo9Xrk5OQgKSlJKrN7924UFRUhMDDQ0lUmIhsrHjFisEpEtmTxkaJx48ahc+fO+Pjjj/Hqq6/i8OHD+PLLL/Hll18CABQKBcaOHYuPPvoIjRs3hr+/P6ZMmQIfHx/0798fwN2Rpd69e0uX3fLz8xEdHY1BgwaV6c4zotLwS5eIiEpj8aCoQ4cO2LhxI2JjYzFz5kz4+/tj/vz5CA8Pl8q89957uHXrFiIjI5GTk4OuXbti+/btcHJyksqsXLkS0dHRCAoKgp2dHQYMGICFCxdaurpEREREAKzwnKKKgs8pInM4UlR58BlGRNVTlXpOEREREVFlZPHLZ0RElnDvqB5HjYioPHCkiIiIiAgMioiIiIgAMCgiIiIiAsCgiIiIiAgAgyIiIiIiALz7jKoBPpuIiIjKgiNFRFTh8XfRiKg8cKSIqix+iVY9fHYREVkTR4qIiIiIwKCIiCopXlIjIktjUEREREQEzikiokqO84yIyFI4UkREREQEBkVEREREABgUEREREQFgUEREREQEoByColmzZkGhUGDs2LFS2p07dxAVFYVatWqhRo0aGDBgADIzM2XLZWRkICwsDC4uLvDy8sLEiRNRUFBg7eoSERFRNWXVu8+OHDmCL774Aq1atZKljxs3Dlu3bsW6deug0WgQHR2Nl156CQcPHgQAFBYWIiwsDDqdDocOHcKVK1cwbNgwODo64uOPP7ZmlamS4vNqiIjoSVltpOjmzZsIDw/HV199BXd3dyndaDTiX//6F+bNm4dnn30W7dq1w/Lly3Ho0CH88ssvAIAdO3bg5MmT+O6779CmTRuEhobiww8/xOLFi5GXl2etKhNRJccHOhLRk7BaUBQVFYWwsDAEBwfL0pOSkpCfny9Lb9q0KerVq4eEhAQAQEJCAgICAqDVaqUyISEhMJlMOHHihLWqTERERNWYVS6frV69Gr/++iuOHDlSIs9gMECpVMLNzU2WrtVqYTAYpDL3BkTF+cV55uTm5iI3N1d6bzKZnqQJREREVM1YfKTo4sWLeOedd7By5Uo4OTlZevWliouLg0ajkV6+vr7ltm0iIiKq/CweFCUlJSErKwtt27aFg4MDHBwcsG/fPixcuBAODg7QarXIy8tDTk6ObLnMzEzodDoAgE6nK3E3WvH74jL3i42NhdFolF4XL160dNOIqJIonlvE+UVE9CgsHhQFBQUhJSUFycnJ0qt9+/YIDw+X/nZ0dMSuXbukZdLS0pCRkQG9Xg8A0Ov1SElJQVZWllQmPj4earUazZs3N7tdlUoFtVotexERMTgiorKy+JyimjVromXLlrI0V1dX1KpVS0ofOXIkxo8fDw8PD6jVarz11lvQ6/Xo1KkTAKBXr15o3rw5hg4ditmzZ8NgMGDy5MmIioqCSqWydJWJiIiIrPucotJ89tlnsLOzw4ABA5Cbm4uQkBAsWbJEyre3t8eWLVswZswY6PV6uLq6IiIiAjNnzrRFdYmIiKgaUAghhK0rYQ0mkwkajQZGo5GX0qoBXh6hhzk/K8zWVSCiMrDl97dNRoqILIGBEBERWRJ/EJaIiIgIDIqIiIiIADAoIiIiIgLAoIiIiIgIACdaUyXECdb0OO49bngnGhGZw5EiIqp2+JRrIjKHI0VUKfALjIiIrI0jRURERERgUEREREQEgJfPiKga4+RrIroXR4qIiIiIwKCIiIiICACDIiIiIiIADIqIiADw2UVExInWVAFx8isREdkCgyKq0PifO9lS8fHH4JyoeuDlMyIiIiJwpIiISIajk0TVl8VHiuLi4tChQwfUrFkTXl5e6N+/P9LS0mRl7ty5g6ioKNSqVQs1atTAgAEDkJmZKSuTkZGBsLAwuLi4wMvLCxMnTkRBQYGlq0tE9FDFk7AZMBFVbRYPivbt24eoqCj88ssviI+PR35+Pnr16oVbt25JZcaNG4f//ve/WLduHfbt24fLly/jpZdekvILCwsRFhaGvLw8HDp0CN988w1WrFiBqVOnWrq6RERERAAAhRBCWHMDV69ehZeXF/bt24fu3bvDaDSidu3aWLVqFV5++WUAwOnTp9GsWTMkJCSgU6dO+PHHH/H888/j8uXL0Gq1AIBly5Zh0qRJuHr1KpRK5UO3azKZoNFoYDQaoVarrdlEsjD+N04VGSddE1mXLb+/rT7R2mg0AgA8PDwAAElJScjPz0dwcLBUpmnTpqhXrx4SEhIAAAkJCQgICJACIgAICQmByWTCiRMnzG4nNzcXJpNJ9qLKhZcniIjIlqwaFBUVFWHs2LHo0qULWrZsCQAwGAxQKpVwc3OTldVqtTAYDFKZewOi4vziPHPi4uKg0Wikl6+vr4VbQ0RERFWZVYOiqKgopKamYvXq1dbcDAAgNjYWRqNRel28eNHq2ySi6sfciCZHOYmqBqvdkh8dHY0tW7Zg//79qFu3rpSu0+mQl5eHnJwc2WhRZmYmdDqdVObw4cOy9RXfnVZc5n4qlQoqlcrCrSAiIqLqwuIjRUIIREdHY+PGjdi9ezf8/f1l+e3atYOjoyN27dolpaWlpSEjIwN6vR4AoNfrkZKSgqysLKlMfHw81Go1mjdvbukqkw3xVmciIqooLD5SFBUVhVWrVmHz5s2oWbOmNAdIo9HA2dkZGo0GI0eOxPjx4+Hh4QG1Wo233noLer0enTp1AgD06tULzZs3x9ChQzF79mwYDAZMnjwZUVFRHA0iIiIiq7B4ULR06VIAQM+ePWXpy5cvx/DhwwEAn332Gezs7DBgwADk5uYiJCQES5Yskcra29tjy5YtGDNmDPR6PVxdXREREYGZM2daurpEREREAMrhOUW2wucUVQ68bEZVCZ9hRPTkbPn9zd8+I5tgMERVXfExzkCJqPJgUEREZCEM9okqNwZFVG74hUHV0b3HPUeNiCo2q//MBxEREVFlwJEisjqOEBERUWXAoIiIqJyY+weBl9SIKg4GRWQVHB0iejSce0Rke5xTRERERAQGRUREREQAePmMiMimeKmZqOJgUERPjHMhiKyDny2i8sWgiCyK//USPTl+johsg0ERPTaeuInKD39Ljcj6GBTRI2EgRGRbfNYRkfUwKCIiquQYKBFZBoMiKhOOEBFVLpykTfToGBRRCQyAiIioOmJQVI0x+CGqfjhhm6h0FTooWrx4MebMmQODwYDWrVtj0aJF6Nixo62rVSlxKJ2o+nrYP0APCpR47qDqRCGEELauhDlr1qzBsGHDsGzZMgQGBmL+/PlYt24d0tLS4OXl9dDlTSYTNBoNjEYj1Gp1OdS44uAIEBGVFwZKZGm2/P6usEFRYGAgOnTogM8//xwAUFRUBF9fX7z11luIiYl56PLVMShiMEREFUFxoMRRJnoctvz+rpCXz/Ly8pCUlITY2Fgpzc7ODsHBwUhISDC7TG5uLnJzc6X3RqMRwN3OrUhaTvupRFrqjJAS+ebSiIgqg3rj1pUprfg8d+857t5zH1VPxd/bthizqZBB0V9//YXCwkJotVpZularxenTp80uExcXhxkzZpRI9/X1tUodLUkzv2xpRERVCc999CA3btyARqMp121WyKDoccTGxmL8+PHS+6KiImRnZ6NWrVpQKBQPXd5kMsHX1xcXL16sNpfbyoL9Yh77pXTsG/PYL6Vj35hXXftFCIEbN27Ax8en3LddIYMiT09P2NvbIzMzU5aemZkJnU5ndhmVSgWVSiVLc3Nze+Rtq9XqanXwlRX7xTz2S+nYN+axX0rHvjGvOvZLeY8QFbOzyVYfQqlUol27dti1a5eUVlRUhF27dkGv19uwZkRERFRVVciRIgAYP348IiIi0L59e3Ts2BHz58/HrVu3MGLECFtXjYiIiKqgChsUDRw4EFevXsXUqVNhMBjQpk0bbN++vcTka0tRqVSYNm1aiUtw1R37xTz2S+nYN+axX0rHvjGP/VL+KuxzioiIiIjKU4WcU0RERERU3hgUEREREYFBEREREREABkVEREREABgUAQAWL16M+vXrw8nJCYGBgTh8+LCtq2RR06dPh0KhkL2aNm0q5d+5cwdRUVGoVasWatSogQEDBpR4cGZGRgbCwsLg4uICLy8vTJw4EQUFBbIye/fuRdu2baFSqdCoUSOsWLGiPJpXZvv370ffvn3h4+MDhUKBTZs2yfKFEJg6dSq8vb3h7OyM4OBgnDlzRlYmOzsb4eHhUKvVcHNzw8iRI3Hz5k1ZmePHj6Nbt25wcnKCr68vZs+eXaIu69atQ9OmTeHk5ISAgABs27bN4u0tq4f1y/Dhw0scP71795aVqYr9EhcXhw4dOqBmzZrw8vJC//79kZaWJitTnp+dinSeKkvf9OzZs8RxM3r0aFmZqtY3S5cuRatWraSHLer1evz4449SfnU9XioVUc2tXr1aKJVK8fXXX4sTJ06IUaNGCTc3N5GZmWnrqlnMtGnTRIsWLcSVK1ek19WrV6X80aNHC19fX7Fr1y5x9OhR0alTJ9G5c2cpv6CgQLRs2VIEBweLY8eOiW3btglPT08RGxsrlfnjjz+Ei4uLGD9+vDh58qRYtGiRsLe3F9u3by/Xtj7Itm3bxAcffCA2bNggAIiNGzfK8mfNmiU0Go3YtGmT+O2338QLL7wg/P39xd9//y2V6d27t2jdurX45ZdfxM8//ywaNWokBg8eLOUbjUah1WpFeHi4SE1NFd9//71wdnYWX3zxhVTm4MGDwt7eXsyePVucPHlSTJ48WTg6OoqUlBSr94E5D+uXiIgI0bt3b9nxk52dLStTFfslJCRELF++XKSmpork5GTRp08fUa9ePXHz5k2pTHl9diraeaosfdOjRw8xatQo2XFjNBql/KrYNz/88IPYunWr+P3330VaWpp4//33haOjo0hNTRVCVN/jpTKp9kFRx44dRVRUlPS+sLBQ+Pj4iLi4OBvWyrKmTZsmWrdubTYvJydHODo6inXr1klpp06dEgBEQkKCEOLul6adnZ0wGAxSmaVLlwq1Wi1yc3OFEEK89957okWLFrJ1Dxw4UISEhFi4NZZx/5d/UVGR0Ol0Ys6cOVJaTk6OUKlU4vvvvxdCCHHy5EkBQBw5ckQq8+OPPwqFQiEuXbokhBBiyZIlwt3dXeoXIYSYNGmSaNKkifT+1VdfFWFhYbL6BAYGijfeeMOibXwcpQVF/fr1K3WZ6tAvQgiRlZUlAIh9+/YJIcr3s1PRz1P3940Qd4Oid955p9RlqkvfuLu7i3/+8588XiqJan35LC8vD0lJSQgODpbS7OzsEBwcjISEBBvWzPLOnDkDHx8fNGjQAOHh4cjIyAAAJCUlIT8/X9YHTZs2Rb169aQ+SEhIQEBAgOzBmSEhITCZTDhx4oRU5t51FJepLP2Ynp4Og8Ega4NGo0FgYKCsH9zc3NC+fXupTHBwMOzs7JCYmCiV6d69O5RKpVQmJCQEaWlpuH79ulSmsvXV3r174eXlhSZNmmDMmDG4du2alFdd+sVoNAIAPDw8AJTfZ6cynKfu75tiK1euhKenJ1q2bInY2Fjcvn1byqvqfVNYWIjVq1fj1q1b0Ov1PF4qiQr7ROvy8Ndff6GwsLDEU7K1Wi1Onz5to1pZXmBgIFasWIEmTZrgypUrmDFjBrp164bU1FQYDAYolcoSP56r1WphMBgAAAaDwWwfFec9qIzJZMLff/8NZ2dnK7XOMorbYa4N97bRy8tLlu/g4AAPDw9ZGX9//xLrKM5zd3cvta+K11HR9O7dGy+99BL8/f1x7tw5vP/++wgNDUVCQgLs7e2rRb8UFRVh7Nix6NKlC1q2bAkA5fbZuX79eoU+T5nrGwAYMmQI/Pz84OPjg+PHj2PSpElIS0vDhg0bAFTdvklJSYFer8edO3dQo0YNbNy4Ec2bN0dycjKPl0qgWgdF1UVoaKj0d6tWrRAYGAg/Pz+sXbu2wgcrZHuDBg2S/g4ICECrVq3QsGFD7N27F0FBQTasWfmJiopCamoqDhw4YOuqVDil9U1kZKT0d0BAALy9vREUFIRz586hYcOG5V3NctOkSRMkJyfDaDRi/fr1iIiIwL59+2xdLSqjan35zNPTE/b29iVm/2dmZkKn09moVtbn5uaGp556CmfPnoVOp0NeXh5ycnJkZe7tA51OZ7aPivMeVEatVleKwKu4HQ86FnQ6HbKysmT5BQUFyM7OtkhfVZZjrkGDBvD09MTZs2cBVP1+iY6OxpYtW7Bnzx7UrVtXSi+vz05FPk+V1jfmBAYGAoDsuKmKfaNUKtGoUSO0a9cOcXFxaN26NRYsWMDjpZKo1kGRUqlEu3btsGvXLimtqKgIu3btgl6vt2HNrOvmzZs4d+4cvL290a5dOzg6Osr6IC0tDRkZGVIf6PV6pKSkyL744uPjoVar0bx5c6nMvesoLlNZ+tHf3x86nU7WBpPJhMTERFk/5OTkICkpSSqze/duFBUVSSd8vV6P/fv3Iz8/XyoTHx+PJk2awN3dXSpTmfvqzz//xLVr1+Dt7Q2g6vaLEALR0dHYuHEjdu/eXeLyX3l9dirieephfWNOcnIyAMiOm6rYN/crKipCbm5utT5eKhVbz/S2tdWrVwuVSiVWrFghTp48KSIjI4Wbm5ts9n9l9+6774q9e/eK9PR0cfDgQREcHCw8PT1FVlaWEOLubaL16tUTu3fvFkePHhV6vV7o9Xpp+eLbRHv16iWSk5PF9u3bRe3atc3eJjpx4kRx6tQpsXjx4gp3S/6NGzfEsWPHxLFjxwQAMW/ePHHs2DFx4cIFIcTdW/Ld3NzE5s2bxfHjx0W/fv3M3pL/9NNPi8TERHHgwAHRuHFj2a3nOTk5QqvViqFDh4rU1FSxevVq4eLiUuLWcwcHBzF37lxx6tQpMW3aNJveev6gfrlx44aYMGGCSEhIEOnp6WLnzp2ibdu2onHjxuLOnTvSOqpiv4wZM0ZoNBqxd+9e2W3lt2/flsqU12enop2nHtY3Z8+eFTNnzhRHjx4V6enpYvPmzaJBgwaie/fu0jqqYt/ExMSIffv2ifT0dHH8+HERExMjFAqF2LFjhxCi+h4vlUm1D4qEEGLRokWiXr16QqlUio4dO4pffvnF1lWyqIEDBwpvb2+hVCpFnTp1xMCBA8XZs2el/L///lu8+eabwt3dXbi4uIgXX3xRXLlyRbaO8+fPi9DQUOHs7Cw8PT3Fu+++K/Lz82Vl9uzZI9q0aSOUSqVo0KCBWL58eXk0r8z27NkjAJR4RURECCHu3pY/ZcoUodVqhUqlEkFBQSItLU22jmvXronBgweLGjVqCLVaLUaMGCFu3LghK/Pbb7+Jrl27CpVKJerUqSNmzZpVoi5r164VTz31lFAqlaJFixZi69atVmv3wzyoX27fvi169eolateuLRwdHYWfn58YNWpUiZNrVewXc30CQHZcl+dnpyKdpx7WNxkZGaJ79+7Cw8NDqFQq0ahRIzFx4kTZc4qEqHp98/rrrws/Pz+hVCpF7dq1RVBQkBQQCVF9j5fKRCGEEOU3LkVERERUMVXrOUVERERExRgUEREREYFBEREREREABkVEREREABgUEREREQFgUEREREQEgEEREREREQAGRUREREQAGBQRERERAWBQRERERASAQRERERERAAZFRERERACA/weLKY13KEZydQAAAABJRU5ErkJggg==", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ "BINS=180\n", "\n", "fig, axs = plt.subplots(2, 1)\n", "axs[0].hist(res.balances, bins=BINS)\n", "axs[1].hist(res2.balances, bins=BINS)\n", "fig.suptitle(\"Inheritance (top), Even Redistribution (bottom)\")\n", + "plt.show()\n", + "\n", + "age1 = plt.hist(res.ages, bins=BINS)\n", + "plt.title(\"Age Distribution\")\n", "plt.show()" ] }, + { + "cell_type": "markdown", + "id": "482850ea", + "metadata": {}, + "source": [ + "### Fixed population & money supply, lending + regular spending\n", + "\n", + "Let's see if balance dist. is any diff" + ] + }, { "cell_type": "code", "execution_count": null,