{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The simulator allows to observe the behavior of the system under a given policy.\n",
    "\n",
    "The following policies are provided:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:36.646390Z",
     "start_time": "2024-07-09T20:48:34.876737Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:32.314219Z",
     "iopub.status.busy": "2025-09-28T06:59:32.314219Z",
     "iopub.status.idle": "2025-09-28T06:59:39.243494Z",
     "shell.execute_reply": "2025-09-28T06:59:39.243494Z",
     "shell.execute_reply.started": "2025-09-28T06:59:32.314219Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'fcfm': stochastic_matching.simulator.fcfm.FCFM,\n",
       " 'priority': stochastic_matching.simulator.priority.Priority,\n",
       " 'random_edge': stochastic_matching.simulator.random_edge.RandomEdge,\n",
       " 'random_item': stochastic_matching.simulator.random_item.RandomItem,\n",
       " 'e_filtering': stochastic_matching.simulator.e_filtering.EFiltering,\n",
       " 'constant_regret': stochastic_matching.simulator.constant_regret.ConstantRegret,\n",
       " 'longest': stochastic_matching.simulator.longest.Longest,\n",
       " 'virtual_queue': stochastic_matching.simulator.virtual_queue.VirtualQueue}"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import stochastic_matching as sm\n",
    "\n",
    "sm.common.get_classes(sm.Simulator)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Tadpole"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bijective"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Consider the following tadpole:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:36.657262Z",
     "start_time": "2024-07-09T20:48:36.648398Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:39.244501Z",
     "iopub.status.busy": "2025-09-28T06:59:39.244501Z",
     "iopub.status.idle": "2025-09-28T06:59:39.251007Z",
     "shell.execute_reply": "2025-09-28T06:59:39.250500Z",
     "shell.execute_reply.started": "2025-09-28T06:59:39.244501Z"
    }
   },
   "outputs": [
    {
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       "\n",
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       "<div id=\"4e6b4c2f-0ce6-4c7a-958e-fdecfe694144\"></div>\n",
       "<a href=\"#\" id=\"fit-4e6b4c2f-0ce6-4c7a-958e-fdecfe694144\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-4e6b4c2f-0ce6-4c7a-958e-fdecfe694144 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#4e6b4c2f-0ce6-4c7a-958e-fdecfe694144 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"0\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"1\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"3\", \"title\": \"3\"}, {\"id\": 4, \"label\": \"4\", \"title\": \"4\"}, {\"id\": 5, \"label\": \"5\", \"title\": \"5\"}, {\"id\": 6, \"label\": \"6\", \"title\": \"6\"}, {\"id\": 7, \"label\": \"7\", \"title\": \"7\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 4)\", \"label\": \"\", \"from\": 0, \"to\": 4}, {\"title\": \"2: (1, 2)\", \"label\": \"\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (2, 3)\", \"label\": \"\", \"from\": 2, \"to\": 3}, {\"title\": \"4: (3, 4)\", \"label\": \"\", \"from\": 3, \"to\": 4}, {\"title\": \"5: (4, 5)\", \"label\": \"\", \"from\": 4, \"to\": 5}, {\"title\": \"6: (5, 6)\", \"label\": \"\", \"from\": 5, \"to\": 6}, {\"title\": \"7: (6, 7)\", \"label\": \"\", \"from\": 6, \"to\": 7}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('4e6b4c2f-0ce6-4c7a-958e-fdecfe694144');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-4e6b4c2f-0ce6-4c7a-958e-fdecfe694144').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from stochastic_matching.display import VIS_OPTIONS\n",
    "\n",
    "VIS_OPTIONS[\"height\"] = 300\n",
    "tadpole = sm.Tadpole(m=5, n=3, rates=\"uniform\")\n",
    "tadpole.show_graph()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This tadpole is not stabilizable: it is bijective and its unique solution has null edges."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:36.685923Z",
     "start_time": "2024-07-09T20:48:36.660344Z"
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    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:39.252014Z",
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     "shell.execute_reply": "2025-09-28T06:59:39.256374Z",
     "shell.execute_reply.started": "2025-09-28T06:59:39.252014Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-9a82d947-7e3f-4962-bcf2-bbd4739685ec\">\n",
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       "<a href=\"#\" id=\"fit-9a82d947-7e3f-4962-bcf2-bbd4739685ec\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-9a82d947-7e3f-4962-bcf2-bbd4739685ec {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#9a82d947-7e3f-4962-bcf2-bbd4739685ec {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"1\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"1\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"1\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"1\", \"title\": \"3\"}, {\"id\": 4, \"label\": \"1\", \"title\": \"4\"}, {\"id\": 5, \"label\": \"1\", \"title\": \"5\"}, {\"id\": 6, \"label\": \"1\", \"title\": \"6\"}, {\"id\": 7, \"label\": \"1\", \"title\": \"7\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 4)\", \"label\": \"0\", \"color\": \"orange\", \"from\": 0, \"to\": 4}, {\"title\": \"2: (1, 2)\", \"label\": \"0\", \"color\": \"orange\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (2, 3)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 2, \"to\": 3}, {\"title\": \"4: (3, 4)\", \"label\": \"0\", \"color\": \"orange\", \"from\": 3, \"to\": 4}, {\"title\": \"5: (4, 5)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 4, \"to\": 5}, {\"title\": \"6: (5, 6)\", \"label\": \"0\", \"color\": \"orange\", \"from\": 5, \"to\": 6}, {\"title\": \"7: (6, 7)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 6, \"to\": 7}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('9a82d947-7e3f-4962-bcf2-bbd4739685ec');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-9a82d947-7e3f-4962-bcf2-bbd4739685ec').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tadpole.show_flow()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As a consequence, the system is unstable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:43.698085Z",
     "start_time": "2024-07-09T20:48:36.687939Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:39.257384Z",
     "iopub.status.busy": "2025-09-28T06:59:39.257384Z",
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     "shell.execute_reply": "2025-09-28T06:59:48.189565Z",
     "shell.execute_reply.started": "2025-09-28T06:59:39.257384Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tadpole.run(\"fcfm\", n_steps=10000000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The simulator finished before the end (due to queue overflow)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:43.710252Z",
     "start_time": "2024-07-09T20:48:43.702097Z"
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     "shell.execute_reply.started": "2025-09-28T06:59:48.191101Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1067814"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tadpole.simulator.logs.steps_done"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:43.733769Z",
     "start_time": "2024-07-09T20:48:43.714712Z"
    },
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     "iopub.execute_input": "2025-09-28T06:59:48.198908Z",
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     "shell.execute_reply.started": "2025-09-28T06:59:48.198908Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-1ef0b445-57cc-40b0-977d-225434939321\">\n",
       "<div id=\"1ef0b445-57cc-40b0-977d-225434939321\"></div>\n",
       "<a href=\"#\" id=\"fit-1ef0b445-57cc-40b0-977d-225434939321\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-1ef0b445-57cc-40b0-977d-225434939321 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#1ef0b445-57cc-40b0-977d-225434939321 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"1\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"1\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"1\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"1\", \"title\": \"3\"}, {\"id\": 4, \"label\": \"1\", \"title\": \"4\"}, {\"id\": 5, \"label\": \"1\", \"title\": \"5\"}, {\"id\": 6, \"label\": \"1\", \"title\": \"6\"}, {\"id\": 7, \"label\": \"1\", \"title\": \"7\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"0.991\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 4)\", \"label\": \"0.00408\", \"color\": \"blue\", \"from\": 0, \"to\": 4}, {\"title\": \"2: (1, 2)\", \"label\": \"0.0101\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (2, 3)\", \"label\": \"0.996\", \"color\": \"blue\", \"from\": 2, \"to\": 3}, {\"title\": \"4: (3, 4)\", \"label\": \"0.000951\", \"color\": \"blue\", \"from\": 3, \"to\": 4}, {\"title\": \"5: (4, 5)\", \"label\": \"0.991\", \"color\": \"blue\", \"from\": 4, \"to\": 5}, {\"title\": \"6: (5, 6)\", \"label\": \"0.00752\", \"color\": \"blue\", \"from\": 5, \"to\": 6}, {\"title\": \"7: (6, 7)\", \"label\": \"0.992\", \"color\": \"blue\", \"from\": 6, \"to\": 7}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('1ef0b445-57cc-40b0-977d-225434939321');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-1ef0b445-57cc-40b0-977d-225434939321').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tadpole.show_flow()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can look the CCDFs of the run to see what went wrong:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:44.606607Z",
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     "shell.execute_reply.started": "2025-09-28T06:59:48.205694Z"
    }
   },
   "outputs": [
    {
     "data": {
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K5HOzQZqubYKQIySEVCaEGmOvrkbVL7+i8scfebA1j09xxROFjh+HiBtv5HWLpMqGvA14c+ub2Fm80xNYfUfnO3B759sRbAyGamEFIY+uAo6sFIQRa457JuFpjYTRICEYW0JlF9RGVb0V646UcEG09nAxjhXXXHD/2BCTSxQFecRRRnQQOsSF8F53BEE0HxJCKhZCjbEWFKJi8WKUf/01rDmn22ewoo3hN97I44m0QUGQGuxjuebkGry57U0cKDvAt7HGtFO7TsVfMv+i3KDq5sK+tixtn7nScjYI84LdjRLfXZjDgOT+QOoAwZXG6hqRO000WLbavvxKLohOlNQiu7QG2aW1fPlCdaFYuF9GVBA6ubLV+qZHoFtSGFmQCOICkBDyEnIXQo3jiWo3bkT5V1+h6tffPO0/dOHhiJw8CRG33gpdSIgkXWYs02z29tk4VnGMb4syR/H4oRs73KiMWkTegjW1PbkZyN4giKOTWYD1DAsEudMkCfsZZg1/T5QycVSL7BJBKLH1I4XVvIjmmbAK2t2SwzC4bRRGdIxFj+Rw6Ki+EUF4ICGkgmDp1mIrK0PF4u9Q9vnnsGZn8226sDBEz3gQETfdBI1eDymm3/907Ce8vf1t5FYLLqH4oHjc0/0eXN3uavlVrPYHdhtQsKup1ajq1LkrYLsLPMZ2AiIyBHEk0axDNcLqG+3Lq+TT9pxybD5exquLNyYqyIhhmTG4rGMshrSPQVgAfScIdVNJQsi7F7K8vJzPlYTTZuN1iYrfeQeWo0J7DFNmJuKefBJBA/pDilgdViw6tAhzd85FYa1Qiyg1JBX39rwXY9PHQqclV0Gz3GksbZ/VMirYc7Y7jcFcj0wQMZHEUvaD41zzWCCIzWOEuUnFMVsiwn62meVo47FSrD5QhDUHi5qk8DPDUM+UcC6IWMYaW2a92ghCTVSSEPLuhSwrLUN4hDIzl5ggKvtiIYrefNOTgh82YQLiHn+MW4qkSIO9AV8e+BLv73rfU7GaFWac0XsGhiUPk2wNJUmm7HN32kahCnbpUaA8++x6RufDECSIopBEILo9EJMpNKBlhSFZ4LZOetZFJWK1O7DleBlWHijkKfyHC5v2vwsx6TGobRSGdIjB5Z3jEBdqFm2sBOEvSAh5+UKWlpQhIlKZQqixy6zojTdQ/sVCbj0wJCYi6c03ENClC6RKrbUWn+3/DPN2z0OVpYpvGxA/AH/v93d0jOwo9vDkic0iWI64KDoBVBcB1QVAdSFQU+iaFwHW2gsfh8UjsYKQoUmCq41PCcI8MAoIiHBN4YKgItHkNVgV7LWHirDmUDH+OFzM44/csGeEQW2icG3PJFzRLR6hZnKhEcqEhJCXL2RJcSkioyKgBmq3bcOpxx7n8UMakwnxzz+H8GuvhZRhhRnn7ZqHj/d+DIvDAg00GN92PB7o9QCPJSJ8VOeICSQmispzgOIDQNEBoOSIIKJcFcObDQt8NwQIoohltjVZdk3uZb1JaGKrMwDMHarRCcKLL2sbLbu3a8/Yhy27psbbm7ymb7pfk3X9+c8jMVhxR1YFm6XvL99XgK3Z5U36pl3fOxmTBqehXaz0kiUI4mIgIeTlC1lcWIqoGHUIIYa9shK5jz6KmtVr+DrLKmOuMo1B2k+PLJD6tazXsPT4Ur5u0pl4/SGWdh9ipB96v8FqV1XlAWXHhXlVfqN5PlBXKjShrS0F7H/e6FRWNEcwMUHHioSy8gYBrjlbZxYy5lZkbkYfuRZzSmvx/Y5TWLQtt4kLjcUSTR6cjhGZsdBS9hmhAEgIeTlrrKigBNGxkVATLOW++K3ZKH77bb4e0KcPkl97FfqYGEidXUW78N8t/+WNXhkRpgjc0+Me3Jh5I2WYSQ1rveBmY5OFzWsAa90Zy2zO1uuEua1BWLZbAacdcLDJdnqZxTixdb7sft29fI7tjf/2zP3O9Xf+gFnIItsKmXxthgltVbzYhJf99K8/WoIFfxznlbDdXUE6xofgb5dnYlSnWIq1I2QNCSEvX8jCvGLExEdBjVStWIFT/3gMjupqLoKS3ngdgb16QeqwjzZr2/Fq1qs4Xnmcb0sLTcNDvR/CyNSR9CNPtA72k8mFVmMBxUSSS3w1EU2NBFljsWWpFgLV68qFeb1rztyMJUeBkkOArf7sc8d3AzpfC3SZAES19aqV6OMNJ/D5pmxPYcceKeH4x5hM3iONIOQICSEvX8iCU8WITVCnEGI0HD2Gkw8+AMvhI4DBgPh//hMRE2+CHGAp998e/BZv73jbk2HWM6Yn/tb3b+gZ21Ps4RHE2TBRxQLWiw8BuVnAkeVCdl/jbL64rkD7y4H2o4Xq4V5wo7HK13PXHMH8P46jzipYvljBxr+PyUTvVPWEBhDKgISQly9kfm4R4hLV/WRkr65B3lNPoWrZMr4ecdttQtyQBAswnosaaw3PLvtoz0eotwtP26PTRnMLUWqo91wOBOETakqA/T8CexcLjXgbu+gCo4Eu1wJdrxeKY15k0HZhVT3eXnkEn23M9jSNHdkxFg+N6sCrWROEHCAh5OULmZdThPhkdQshBvu4lMydi6LXXufrQZdcgqRXZ0Eno6rbBTUFvGXH4sOL4YQTeq0eEzMn4q/d/4pIs7riwAiZwoLMDy4TLEWHlwvB525Ck4GetwC9bhUKYl4EJ8tq8cbyQ/g666QnhojFDjFBxHqeEYSUISHk5Qt5KrsQCSnSDxL2F5W//MJT7J11dTBmZCD5rTdhauu9mAV/cLDsIGZlzcIfuX94Msyubns1zzLLCMsQe3gE0fxWKsdWAbu/Bfb9ADRUnn4tYxjQ+w6g4zjA0PoiikeLqvHmisP4bnuuRxCxVh73DW+Lvun08EBIExJCXr6QuccLkJgWK/ZwJEX93r3IuW86bPn50AYGIuGllxB6xRjIjfWn1uP1ra9jTwlrNyEwPHk4pnSdgt5xvUUdG0G0OAOPuc+2fQwcXXV6O0vN734T0Os2IKFHqw9/hAmi5Yd4+r1bEPVPj8R9I9piWIcYSkAgJAUJIS+nz588VoCkdBJCZ2IrLkbuI39D7aZNfD1y0iTE/u0RaIzy6grPvgZZBVn4cO+HWJ2zmrvM3ILosf6PITkkWewhEkTLKDsBbP8U2PYpUHny9Pb47oIg6nYjENg6a86x4hrMXX0E32w9Catd+K50SQzFvcPbYmzXBOioDhEhAUgIeflC5hzNR3JGnNjDkWyvssJXX0XpB/P4ekDPnjxuyJCQADlyvOI4FuxZwGOI7E47AvQB+Fufv/EaRFpWHI8g5ARL12fWIWYl2v8TYLecrlOUORbodbtQo6gVDYvzKurw/u/HeFC1O8ssIzoI9wxrgwm9kmHU0/eFEA8SQl6+kNlH8pDShlo1XIiq5ctx6vEn4Kiqgi48HIn/+TeChw6FXDlacRT/t/7/sKVgC18fkDAALwx+AYnBiWIPjSBaH2S96ytg2ydA/s7T21k162GPA91uaJUgKquxYMG643yqqBP6msWHmnHXkAzc3D8VQSZ5ZJYSyoKEkJcv5IlDeUhtR0Loz7Dk5CD3oYdRv0eIt4m6+27EPHC/bFLsz8ThdODz/Z/zth0s5T7IEIRH+z6K69pfR/EQhLzJ2ym4znZ8IRR0ZMR2Aa54CWgzvFWHrGmw8aKM7/1+FAWVDR5B9PpfemJAG/XWYSPEgYSQly/k8YOnkNZenq4ef+OwWFD48sso++xzvh48bBivRq01mSBXTlSewD/X/hPbi7bz9evbX4+nBj5F7ToIZTTP3TQX+ON1obo1I/NK4PIXW129usFmx7dbc/H2qsPIKa0DCxl6dExH7jKjBwjCX5AQ8vKFPLb/FNIzSQi1hIqffkLeU/+Es74eQUOG8BR7OYshu8POY4dYhhkLpu4f3x+zhs9CmInqqRAKcZutehnY/L5QrJGJ/AF3A0MfFRrDttJC9PR3u7koYlzVPQGv3NAdgUZ5WogJeUFCyNtCaF8u0jtSbEhLqdmwETn33svrDQUNHozkt2dDa259PRMpwLLK/rHmH6i11SIlJAVvjHgD7SLaiT0sgvAORQeAZU8Bh38V1gOjgBFPAr0nt6qNB7vFfLLhBJ7/YS9sDidv6vru7X2RGhXo/bETRCuEEIX0NxPSi60jaOAApMydA01gIGrWrUPOPffCUVcHOTMsZRg+GvsRkoKTkFOVg1t/vhW/nnDdNAhC7sRkArd9Ddz6NRCdCdSWAD/9DZhzKXBkRYsPx1xhtw9Kx2fTBiI62Ij9+VUY/9Za/H6oyCfDJ4iWQhahZirKI7tPok2XJLGHI1tqs7KQM+2vcNTWIrB/f6TMeYcXYZQzZfVl+Nvqv2Fz/ma+fnna5Xi8/+OICaQK5IRCsFuBLfOBVS8BdWXCtg5jgav+B4QltSrd/p6Ps7DjZAWPG3p8bEdMG0JxQ4RvIIuQlyG9eHEE9umDlPffhzYoiBdfzP7rX3kTVzkTYY7A3NFzMbXrVOg0Ovxy4hdcvfhqfLH/C55tRhCyR8fihP4KPLAVGHAvoNUDB5cAbw8Ctn/OfhhbdLiEsAAsvHsQbuyTzCtTv/Tzfsz4YjvqLI0ayBKEnyGLUDMV5aEdOWjXnaoLXyx1O3Yg+8674KiuRkDv3kh5dy50wcGQO/tK9uGF9S9gd8luvj4gfgD+75L/Q0IwBdgTCqJwP7D4XuDU1tPZZeNeA0JaVmyW3XY+3nACL7jihjolhOLd2/sgJVLeVmJCWpBF6CJh7TU6d+6Mfv368XWHg57wvUFAjx5InT8P2tBQ1G3dipw774K9qgpyp1NUJ3xy5Sd4ov8TvBL1xvyNuP776/HDkR/Imkgoh9iOwJ2/Apc9LWSVHfgZeHsAsPubFh2GucLuGJSOT+8awOOG9uVV8rihtYeKfTZ0gjgfZBFqpqLcn3UMmb3TxR6OYqjbvQfZd94JR0UFzN27I42Jo6AgKAFWc+jJtU9iZ5FQuXd02mg8OeBJRAdEiz00gvAe+buBxfcA+buE9c7XAlfNAoJaVjjxVHkd7vkkCztdcUMT+6Xg4VEdEBsq7+xSQnwofd7LF3LvlmPo1IeEkLe712dPmQp7RQWCR45E8ptvQKNVhpHS5rBh3u55eGf7O7A5bbzWEAukvirjKgoMJZSDzQL8/l9gzX+F2kNBMYKrrNO4Fh2m3mrHM9/txpdbhOawgUYd7ro0A9OGtkGImYqWEq2DhJCXL+SejUfQuX8bsYejyJihE7ffAafFgqhp03jneiWxv3Q/nvnjGewr3cfXhyUPw9MDn0ZcEDXwJRTEqW3AonuBIuFzju5/Acb+u8WFGDcfL8VLP+/Dtmyh5UdUkBEPje6Am/ulQK9TxkMS4T9ICHn5Qu5afxhdB7au3DxxYSp++BGnHn2ULyf++2WEXXMNlITVYcWC3Qvwzo53+HKwIRh/7/t36ldGKAtbA7DyJWDdGwDLmoxqB9zyZYvbdLBb0rI9+fjP0gM4WixklraPDcaTV3XC8A4x9J0hmg0JIS9fyJ1/HEK3wVQ92FcUvvoaSubOhcZgQOpHHyKwVy8ojSPlR7h1aGexEDs0MGEgnhv8HC/MSBCKIWcT8PVUoCIHMIcDEz8GMoa2+DBWu4M3cH3114MoqxU62g9pH42nruqEjvHnv6kRhBsSQl6+kNvXHkCPSzqIPRzF4nQ4kDtjBqp+/Q26qCikL/wCxmTllStg/co+2fcJ3tz2JhrsDTzD7KHeD+EvHf8CrYZM/4RCqCoAFt4KnNws1B669h2g+02tOlRFnRWzVx7Ggj+Ow2J38IDqSYPTeTFGk17n9aETyoHS571M/mHBZ034BhYknfjyyzB17Ah7SQmPG7IcPw6lodPqMKnLJHxz9TfoE9cHdbY6zNw0E1OWTsHR8qNiD48gvAOrKzTpR6DLBMBhA76dJnS3b8Vzd1iAAU9e2Qm/PjIUV3aL54UY5/9xHDfN3YCTZbU+GT6hLkgINZNda3JRcLxS7GEoGpY+nzJ3Loxt2sCWl4fjt9+OhqPKFAdpoWmYN2YeT6tnVqGthVtx/Q/XY+6OuVSVmlAGBjNw/Txg4HRh/ddngKVPsKJsrTpcWlQQ3r61Dz6Y1JeLox055Rj35lpsOFri3XETqoOEUDNxOpxY/uE+2K10k/IlhrhYpH38EUyZmbAXFfP0esvJXCgR5gq7uePN+O6a73g2GUu5f2v7W5ixYgaqLPIvMkkQYOUwrngJuPxFYX3jO8A3UwFrfasPObJTHH584FJ0Tw5Dea0Vt3+wEV9uzvHemAnVQUKomQQE6VGWV4MN3x0ReyiKRx8VhdQF82Fs1xa2ggJkT5kCa0EhlAprw/HmZW/ixUtehFFrxKqTq3DLT7fgaIUyrWGEChn8AHD9B0I16j2LgE+uB+paH27AWnF8efcgjOueAKvdiX98s5MHVVPIK9EaSAg1k0HXCSmg23/LwfFdVAbe1+gjIpD6wTwYUlJgzckRxFChcsUQSwm+pt01+GjsR4gLjMPxyuNcDK3MXin20AjCO3S7Abjta8AYApxYC8wfC1SeavXhzAYd3ry5Fx4c2Z6vv778EP6z7ACJIaLFkBBqJqmdI9FtuJDF9Nv8vagqbb1pl2i+m4z1JdMnJMBy9Ciy75gEa0EBlEyX6C5YOG4hD6SusdZgxsoZ+HTfp2IPiyC8Q5vhwJSfgeA4oHAv8P5ooNBVhLGVDxCPjO6Ap8d15uvvrDqCV3875MUBE2pAFUJowoQJiIiIwA033NDqY7CnjEuub4fYtBA01Nqw8uN99OThB1gKfdpHH0KfmMCzyE7ccQcsOcqOB4gKiMJ7l7+HmzrcBCeceHnTy3hp40s8hoggZE9Cd6Fxa1R7oPIkMG8McGL9RR3yzksz8Nx4QQy9sfwQPt14wkuDJdSAKoTQjBkz8NFHH13cQZyAzqDF6KldoNNrkbOvDIe3KNdVIyWMKSlI++hjGJKSYD2RjeO33KLYbDI3Bq0B/xz4T8zoPYOvf77/czy25jESQ4QyiEgD7vwFSO4P1FcAH10D7P3+og45+ZIMPHiZUPT26cW78cuefC8NllA6qhBCw4cPR0hIyEUdgz2ZM8LjAtFnbBpfXvvVITTU0Y3JHxiTk5D22Wens8kmTVZknaEzzf53dbsLrw5/FXqtHr+c+AX//OOfvCgjQciewEjgju+AzCsBewPw5R3A5vcv6pAPj+6AiX1TeK2hBz7fht25FV4bLqFcRBdCa9aswfjx45GYmMh/+BcvXnzWPrNnz0Z6ejrMZjMGDBiATZs2+X+gjdxgvS5PRVhsAGorLdjys7JvxpKLGVowH6b27WErKsKJOyah4Yjys/hGpY3C/4b9D3qNHj8d/QmvbHlF7CERhHcwBgI3fQz0mSyY3X/6G7D8hVYVXmSwe8i/JnTF8MwYNNgcePCLbai10MMqIXEhVFNTgx49enCxcy4WLlyIRx55BM8++yy2bt3K9x0zZgwKG2UQ9ezZE127dj1rOnWq9RkJZ9I4Hkhv0OHSG4VMhZ0rc1BZXOe18xDNyCbjYqgdbIWFOHHb7ajf1/pgS7lwWeplmDlkJl9mwdOf7P1E7CERhHfQ6YFxrwHDnxTWf/8f8M1dra41xLrUz7qpJ+JCTThaVIMXftjr3fESikN0ITR27Fi8+OKLPKD5XMyaNQvTpk3DlClT0LlzZ8yZMweBgYGYN2+eZ5/t27dj9+7dZ03MytRSGhoaeH+SxtO5SOsaheSOEXDYnNj4vbLjVSRZZ+ijj2Du2hX2sjKcmDQZdbt2QelckXEFHunzCF/+z+b/YEX2CrGHRBDegXWUH/4YcM1soTfZ7q+Bj68FGqpbdbjIICNendiTH/aLzTn4eVee14dMKAfRhdCFsFgsyMrKwqhRozzbtFotX1+//uKyDM7HzJkzeZM295SSkiK8cIaplplgB01oC2iAg5sKkHuwzCfjIS5gGZo/DwG9esFRWYnsyVNQI4bL1M9M7jIZN3a4kcesseDp3cW7xR4SQXiPXrcBt30DmMKA7PXAN3cCrYyJG9w2GvcOE+q/Pf7NThRXN3h5sIRSkLQQKi4uht1uR1xcXJPtbD0/v/kZAUw43Xjjjfj555+RnJx8QRH1xBNP8E617inHlap9rlT52LRQdLlUsDqt/vwg7DZqv+FPdCEhSH3/PQT27w9HTQ1ypv0V1WvWQMkwAc76k12SdAnq7fW4f/n9yK1WZgsSQsW1hm7/FtCbgYNLgWUul1krg6e7JIaist6G16m+ECFHIeQtfvvtNxQVFaG2thYnT57EoEGDzruvyWRCaGgoPv74YwwcOBAjR47k289XM2jgNW1hDjbw9ht7fqcbkiiNWt+di+ARI+BsaMDJB2egbudOKBmWQcaCpzMjMlFSX4L7frsPlRZqCEwoiOS+wIS5wvLGOcDW1pU/Mei0eOqqTnz5s03ZOFzYOlcboWwkLYSio6Oh0+lQcEY1YbYeHx/v03NPnz4de/fuxebNm4UN50liYCJowNVt+PLmH4+jvsbq03ERZ6M1m5H8xusIGjIEzvp65NxzLyzZ2VAyQYYgzB45G7GBsbwn2cMrH4bVTp89QkF0uRYY8ZSwzLLJTma12kU2qlMs7A4n/r10v3fHSCgCSQsho9GIPn36YPny5Z5tDoeDr1/IquML3HWEzkXnSxIQmRjERdDmH4/5dVyEgMZgQNKrr8LUuRPspaXInjYNttJSKJm4oDi8PfJtBOoDsSl/E55b/xxVOyeUxZC/Ax3HAXYLsPA2oKp1LXYeH9sROq0Gv+4twIajJV4fJiFvRBdC1dXVPOuLTYxjx47x5WzXEz1LnX/vvffw4YcfYt++fbj33nt5yj3LIpMKWp0Wl94gpNPvWp2Lklwyv4qBLjgIKXPmeCpQn7z3PjityraSZEZm4n/D/wedRofvj3yPOTvniD0kgvAeWi0wYQ4QnQlUnQI+u6lVmWTtYkNwc38h8eWln/fBwSouEoRUhNCWLVvQq1cvPrmFD1t+5pln+PrEiRPx3//+l6+zekFMJC1duvSsAGpvw+oasXT9fv368fU/e9JO6RyJNj1j4HQ4ecVpejIXB0NsLFLeew/asDDU7diBkvcvrlKtHLg06VI8NVBwIby9/W0uiAhCMZhCgJs/BwKjgLztwBe3tEoMPTSqA4JNeuw8WYEfdnqvxhwhfzROumNfEFZHiKXR5xw9jOQMIRXzfFQU1eHz5zfy7LGrpndHerdov42TaErFDz/g1KP/4C6zjO++g6lNBpTOa1mv4YPdH/Bg6rmj5qJ/Qn+xh0QQ3uPkFuDD8YC1FkjsDdz6FRDUst/Y2SsP45VlB5AUHoDlfxsGs0Hns+ES0rl/swxwlgQlWYuQbGiGXAyLCUD3Ecl8ed23R+CwUzq9WISOG4egYUO5ayz/hRdUYaF7sPeDuCL9Ct6Y9aGVD+FIufLbjxAqyySb9AMQEAmc2grMHwtUtqxQ4tRLMpAQZkZueR0WrKP2SIQACSEvucbcsIaspiA9T6ff+wdVMxWz3k78009DYzKhdsMGVP7wA5SOVqPFi5e+iJ4xPVFlrcL05dNRXFcs9rAIwrtiiHWtD00Gig8KYqii+WVLAow6/P3yTL48e8VhlNZYfDhYQi6QEGpu+nxzTELMnR1oQL+rBDdM1pLjVGRRRIzJyYi+916+XDDzZdhKlJ8tYtKZ8MZlbyA1JJUXWuRp9Q5lB4wTKiO6PTDlZyA8DSg7Bnw4DqhsfszPhF5J6JwQiqoGG95YTkUWCRJCzYYFQTeXLkMSERhmRHVZA2+/QYhH1NQpMGVm8p5k+f/3ItRAhDkCb496GyGGEGwv2o7Z287d0JggZEtEGjD5JyA8FSg9Cnw2EbDUNOtPtVoN/ukqsvjJhhM4WkRZvmqHhJAX6gidCetO3+MyIVVz16qTPhwV8WdojEYkvPQvQKdD1dKlqFy6FGogLTQNzw1+ji+zAOo/cv8Qe0gE4V3CU4SYocBoIH8nsPheVmiuWX86uF00LusYCxsVWSRICDU/RujMpqt/RudLEqHVa1CUXYXik1W+GSTRLAK6dEH03X/ly/kv/J/iCy26uTz9ckzMnMiXn1z7JAprC8UeEkF4l4h04C+fAloDsPc7YM1/mv2nT4ztCK0GWLanAJuOqeM3gTg3JISaGSPU0qQj1nojw5U+v39D8xvEEr4h+p57YOrQgVedZvFCauHRfo/ynmSl9aW8Wz214SAUR+pAYPzrwvKqmcCeRc36s/ZxIfhL/1S+/Pi3O1HdYPPlKAkJQ0Ko2bQ8/TpzUAKfH9yYT0HTUnCR/etfLJ2MZ5DVbt0GNcCCp18Z9goC9AHYUrAFT/3xFBxO+iwSCqPXrcCg+4Xl7+4HypvXa5BlkLF0+qNFNXjy212qKLNBnA0JoebSii9IWpdIBIUZUVdlxdHtRT4ZFtF8Arp1Rdj11/Hlgn/9C85mxhPInYywDMwaPgt6jR5Lji3Bvzf9m37wCeUx+gUgdRBgqQa+f6BZv9mRQUa8eXMv3ofs+x2neId6Qn2QEGouztb1IOt0SSJf3vcHlXSXArEPPwxtcDDq9+xBxbffQi2wNhysxhDjs/2fYe7OuWIPiSC8i1YHXDMb0AcAR1cBWQua9Wd90yPx2BVCbaHnf9iLXScrfDxQQmqQEGpusHRrlBCAji73WM7+MtSUN3hxhERr0EdFIXr6dL5c+OprsFepJ5D9qjZX4fH+j/Pl2dtn4+O9H4s9JILwLlFtgZFCn0r88s9mu8imDWmDUZ1iYbE5MO2jLcivqPftOAlJQUKo2cHSrRNCrO1GfJswrqMObaGaQlIg8tZbYMzIgL2kBCXvvgs1cWunW3FvD6HI5H82/wfPrXsONdbm1V8hCFkw4G4gZaDgIvvp782uRP+/m3qibUwQ8ivrMXn+JlTWU2KBWiAh1EwuJqYic0Acn1NxRekETsc++ihfLv34E9iK1BW/xYTQfT3vgwYafHPoG1z//fXYmLdR7GERhBddZG8BWj1waBlw7Pdm/VlYgAELpvRHdLAJ+/OrMGX+ZtRQJpkqICHUXC5CCLXpFcuSlXhNIdahnhCf4BHDYe7RHc76ehTPVZdViD39MjH0wZgPkBiUyFtx3PXLXbjph5vw6b5PcbTiKAVTE/Jvw9FnsrD827PN/v1OiQzEh1P7IdSsR9aJMtz14RbUW+2+HSshOiSEmsnF3BgCQ41I7BDBl49spaJ2UhEDsQ89xJfLFy6E9ZT6gtn7xffDN1d/g5s63ASD1oB9pfvw8qaXcc3iazDq61F4au1T+OHID6hooOBRQoYMewwwBAG5WcDexc3+sy6JYfjozgEINumx/mgJ7v44Cw02EkNKhoSQn2jfN5bPKU5IOgQNGoTAAQPgtFpR9PbbUCPBxmA8PehpLL9xOR7t+ygGJAyAUWvkVai/P/I9r0g94ssReHT1o1iXuw52B90QCJkQHAsMfkBYXv4C0IJioj1TwjF/Sj8EGHRYfbAI93+2jQdSE8pE4yQb+Hmzxthkt9tx8OBBHNqxDe2692z18eqqLZj/jz9489bb/m8gwmICvTpeonXUbtuGEzffwnuRtfn+O5jatoXaqbfVY1vhNmzI24Dfc3/HobLTHbrjg+JxbbtrcUfnOxBiDBF1nATxpzRUAW/0AmqKgCv/C/Sf1qI//+NwMaYs2MxFEOtN9vatvWE26Hw2XMK7VFZWIiwsDBUVFQgNDT3vfiSEmnkhD23finY9el3Usb5/fRty9pWh//gM9Lsqw2tjJC6OnHvvQ/XKlQjo2RNpn34CjY5+6Bqzr2QfFh1ehJ+O/oRKS6WnSOO7o9/lwoggJM2m94Cf/w4ExQAzdgLGlj2ErjlYhL9+zGKFHLi0XTTen9SXxJDChBC5xvxI5gDhprFvXR4cDtKfUiH+mad5kcW67dtRuqB5RdjURKeoTnhywJNYcdMK/GfofxAXGIdjFcfwyKpHqHcZIX1Y0HR4qmAV2vFZi/98aIcYnk0WZNRh7eFi3P/ZVljt5CZTEiSEmok37GZte8fCFKhHVUk9cvZSt2OpYEhIQNwTQqHBotffQMPhw2IPSbJ9y8ZmjMWHYz9EqDEUu4p34b9b/iv2sAjiwugMp/uQrXsLaEWc28A2Ufhgcj+Y9Fr8tq8Qf/9qBz3MKggSQn5UQnqjDh0HCpWmd6066YVBEd4i7LrrEDRsKJwWC0498SScNqofcj6SgpMwc8hMT7uOZceXiT0kgrgwPW8FzOFA2TFg/0+tOgQTQ+/c1ht6rQbfbT+Fp7/bTWUmFAIJoWbibGWLjTPpOjwJ0AAndpegLJ8q+kopnT7hhRegDQ1F/a5dKHn/A7GHJGmGJg/FXd3u4svP/PEMTlaRsCckjCkY6Cd8XrHujVY/2F7WMQ6zJvbkdeE+3ZiNv325g+oMKQASQs3EW8o/PDYQGd2j+XLWkhNeOSbhHQxxcYh/6km+XDR7NmrWrxd7SJJmes/p6B3bG7W2Wry29TWxh0MQf956Q2cETm4Gsje0+jBX90jEv6/vzjvWf7stFze/twGFVdSbTM6QEGo23jOB9hmbzucHNuWjNI+sQlIi9OqrEXrVVYDVipP3P4D6vXvFHpJk0Wv1PIiatepg7rHdxbvFHhJBXLiuUI+/CMvr3ryoQ93UNwUfTunPK1Bvyy7HNW/9gd25VHhUrpAQamb3eW+6guPSQ5HRI5prqy0/HfPegQnvuMhmvoTA/v3hqKlB9l3TUH/ggNjDkiyZkZkY12YcX35nxztiD4cgLswgV4HFAz8DxafrY7WGS9tH47v7L0WbmCDkVdTjxjnrseU4JcHIERJCzew+71UlxNobjBPqCB3aUsh7kBHSQWs0Inn2WzB17gR7aSlO3DEJtVlZYg9Lstzd425oNVqsObmGrEKEtInpAGReKVj4WazQRZIRHYRF912CS9pFoc5q58UX95wiy5DcICHk52BpNzEpIWjfT+hKv+0XihWSGrqQEKQtWICAHj3gqKjAiclTUP7tIrGHJUnSQtPIKkTIh0tmCPNtnwh9yC4S1rX+/Tv6oV96BKrqbbjjg004WlR98eMk/AYJoebigzTJXqNT+fzItiLUVlq8fnzi4tCFhiJ1/jyEjL2CxwzlPf00aja0PshSyfy1+1/JKkTIg9SBQLcbAacD+H5Gi3qQnY8Ao47XGeqSGIqSGgtue38jcsvrvDJcwveQEGouPigXEZMagtj0UDjsTuxfn+f9ExAXjTYwEEmzZiHsmmsAux25Dz0Ma26u2MOStFXof1v+R/VVCGkzZiYQEAEU7ALWv+WVQ4aaDfhoan8eM3Sqoh5T52+GjSpQywISQiK5xtx0GZLI53v/OEU3DwkHUMc//xzMXbrAXl6OU0/9k/6vzsF9Pe+DWWfGloIt+OlY64rWEYRfCI4BxrwkLK96GSjc55XDRgWb8MmdAxAZZMSBgios3JLjleMSvoWEUDNhXeN9Qbs+sdAZtKgorENxDvmVpYrWbEbS669BYzCgdsMG1Kz9Q+whSbLi9LTu0zxWIdbFniAkS4+bgbYjAfY5/fIOwFLrlcMmhgfgwcva8eVZvxxEcXWDV45L+A4SQs3GN0LIaNYjrWsUXz68tdAn5yC8gzE5GRG33MKXC//7XzjtVFH2TCZ3mYzEoEQU1xXj+yPfiz0cgjg/rDz0hLlASAJQfBBY/rzXDn3LgDR0jA/h8UJPL6aYOalDQqiZ+NIV0q53LJ8f3lJALheJE3XP3bwNR8OBAyj/+huxhyM5jDoj7uhyB1/+cM+HsLeiwSVB+NVFdo0rRmjjHOD4Wq8c1qjXYtZNPXn16SW787HuSLFXjkv4BhJCzcWH+iS9ezT0Jh0qi+uRf4RqUEgZfUQEYqbfx5cLX3kFtrIysYckOSa0m8C702dXZWNlzkqxh0MQF6bdKKD3JGF5yWOt6k5/LjonhuKW/kJm8PPf74XFRoHTUoWEkMjB0gyDSYe2PWP48qHNBT47D+EdIm69FaZOneCorkbpgg/FHo7kCDQEYmLmRL48f/d8snIS0mfUc4ApDCjYDez4wmuHfXh0B0S5AqffWnFxlawJ30FCqJktNnxRR6gx7uKKh7cVweGjwGzCO2j0eo9VqOyTT3gmGdGUWzrdAqPWiJ3FO7GtcJvYwyGICxMYCQz9m7C84kWvBU6z7LEXrunKl2evOoKdJ+m3QoqQEBKpxcaZJHeKgClIj7pKC3IPkLtF6gSPHAlTx468H1nJBx+IPRzJER0QjSvbsFYGoKBpQh70vxsISwWqTgEbZnvtsFd1T8C47gmwO5x4eOF21Fspbk5qkBBqJr620eh0Wk/Q9IEN+T4+G+GN2kIxDz7Il5l7zJJD9ULO5Ko2V/H5b9m/weqF6r0E4VMMZmDk08Ly2teB6iKvHfr/rumKmBATjhTV4NXfDnrtuIR3ICHUTJysHLuP6Tgogc+PbC2Epc7m8/MRF0fwiOEIGjwITqsVRa++KvZwJEe/uH6IMkehoqEC6/PWiz0cgvhzut4AJPQALFXA6pe9dtiIICNmTujGl+etPYYj1ItMUpAQaibVJaU+P0dcRijC4wJhszpwYk+Jz89HXLxVKPYf/+D1SCp/XoK6XbvEHpKk0Gl1uDz9cr689NhSsYdDEH+OVgtc/qKwvGU+UOy9AOdRneNwWcdYWO1OvPDDXkoikBAkhJpJ4fEjfrmxZvSI5svHd1LdCTlg7tgRYVeP58uF/6UeW2dyRfoVfL4iZwUa7FRhl5ABGUOBDlcATjvw23NePfTT4zrDoNNg9cEivLXiMP1eSAQSQs2k8JjvhRAjvZtQZTp7b6nP2noQ3oXFCvHWGxs3oub338UejqToGdsTcYFxqLHWYO1J7xSrIwifM+p5QKMF9v8InPCeWzcjOgiPXdGRL//v14N49vs9JIYkAAmhZlKSmw1rg+97J8W1CYPBrEN9tRVFOVU+Px9x8RiSkhBx++18ufAVar3RGK1G67EKLTm+ROzhEETziO0I9BK+07z1hhfFyl1D2uC58Z2h1QAfrT+BD9Ye89qxidZBQqiZOB0OFB476vPzsOyxpA4RfDlnn+/jkgjvEP3XaULrjUOHUPEdpYs3ZnT6aD7/I/cPyh4j5MOwxwC9GcheDxz61auHnnxJBneTMV5ZdgAFldSgWExICLWA3AN7/XKe1M6RfJ69h4SQXNCFhyP67r/y5aI33oCjnn7Y3HSL7oZIcySqrdXYWrhV7OEQRPMISwL6C99pLH8BcHg3c3jy4HT0S49Ag82BN6nqtKiQEGoBOXt2+uU8qV2EOCHWd4zS6OVDxG23QZ+QAFt+Pq84TZx2j12adClfXnNyjdjDIYjmc+nDgDEEKNgF7Pve68kxf7s8ky9/ueUkSmssXj0+0XxICLVQCDXUeqf0+oUIiwlAWGwAb7Vxcj9VmZYLWpPJU2SxZN58sgo1YljyMD4nIUTIrvXGIKGdDla+5LWGrG4GZESiW1IYb8j6+aZsrx6baD4khJpJeFwi7DYbTuz0j2k/zWUVonpC8iJs/DgYEhNhLy1FxaJFYg9HMgxKHAS9Ro/jlcdxovKE2MMhiOYz8D7AHA4UH/BqQ1a3VYi5yBjvrjmK4moqMSEGihdCOTk5GD58OG+g2r17d3z11VetOk56z958fiRrE/zpHsveU0LplTJryBo5dSpfLp4zF466OrGHJAlCjCHoE9eHL5NViJAVAeHApQ8Jy0sfB0q8W0rlmp6J6JwQioo6Kx76YjtqGigcwt8oXgjp9Xq89tprvIHqL7/8goceegg1NTUtPk5GT+FH/Oi2LXD4IT06sUM49AYtqssaUJJL5djlRPhNN3KrkK2gAKUffSz2cCTDkOQhfE5CiJAdg+4HUgcBDZXAV5O96iLT67T49/XdYTZosfZwMW5+bwNZhvyM4oVQQkICevbsyZfj4+MRHR2N0tKWZ2MldugEc1Aw6qsqkXfoAHyNwahDiit77Oh2qjItJ7RGI2IemsGXS957D7YyivNqHCe0pWALL7BIELJBZwBumCe4yPJ3Aru/9erhuyWH4bNpAxERaMDOkxW495Ms2Oy+729JSEQIrVmzBuPHj0diYiL3ly5evPisfWbPno309HSYzWYMGDAAmza1zj2VlZUFu92OlJSUFv+tVqdDutsqtNU/7rH07kK7jRO7SAjJjdBx42Dq1AmO6mqUzl8g9nAkQXpYOlJDUmFz2LD+FDVhJWRGaCIw+H5hec0rXi2yyOidGoGv7hmMYJMem4+X4T/LfP/ATUhECDE3VY8ePbjYORcLFy7EI488gmeffRZbt27l+44ZMwaFhYWefZjFp2vXrmdNp06d8uzDrEB33HEH3n333QuOp6GhAZWVlU0mN+k9hDih7N074A/SugpxQoXZVaitpNRKOaHRahF9zz18uWLxYqo27WJo8lA+X5tL7TYIGdL/bkAfIARO53u/yXK72GC8fH03T/D0//24F/VW+u1QvBAaO3YsXnzxRUyYMOGcr8+aNQvTpk3DlClTeMDznDlzEBgYiHnz5nn22b59O3bv3n3WxKxMbnFz7bXX4vHHH8fgwYMvOJ6ZM2ciLCzMMzW2HqV27cHnBUePoKHW96b9oDATYlJDACdwYjdZheRG8Ijh0IaFwVZYiJr1G8QejiQYkDCAz7MKssQeCkG0HHMo0G6ksOzlukJuxnVPxKNjhPpCrP3G1W+txeFCihNVtBC6EBaLhbuzRo0a5dmm1Wr5+vr1zTOts4yryZMn47LLLsPtrn5QF+KJJ55ARUWFZ2JZZ25CoqIRFhsHp9OBvIP74U+rUM4+ijORY6xQ2FVXeqxCBNAzRojXY2n0pfVUOZ2QIZ2vEeb7fvDZKaaPaIf37+iL6GAjDhZUY8LsP/DOqiOoqKUWNaoTQsXFxTymJy4ursl2tp6fn9+sY/zxxx/cvcZij5gLjU27dp3fpGkymRAaGtpkakxSptAfJvfgPviDlE5C37GT+6kbvRwJu/ZaPq/67TfYq+mpLtwcjnbh7fjytoJtYg+HIFpO+8sBrQEo2g8UHfTZaUZ1jsPSh4byNhxVDTb8e+l+DJy5HE8t2oXf9haQy0wtQsgbXHrppXA4HNx95p66dRN8sBeCxSwxV1y/fv2abE/o0InP/ZE5xojLCIPRrENdlRUFJ07HKxHywNytG4xt2sBZX4+qZcvEHo4k6BXbi8+p7xgh27pCbYb51D3mJjrYhM+nDcR/b+yBzLgQ1Fnt+HRjNu76aAv6vvgbnvt+D7JLfN/tQOlIWgixVHedToeCgoIm29k6S4X3JdOnT+e1hzZv3txke0K7Dnyef+Qg70jva3R6LVJd7rH96/J8fj7Cu7BMSLdVqGIRuccYveOEpIOtBSSECJnS6Wq/CCF3naEb+iRj6UND8PGd/XHLgFQkhQegusGGBeuOY+grKzH8lZV44PNt3H22+mARKuvJhaYYIWQ0GtGnTx8sX77cs41Zd9j6oEGDRBlTdGo69EYTGmpqUJZ/OivNl3QblsTn+9fno6qU+lfJjbCrxzNFhNotW2A5eRJqp0+sUIZiX+k+1FrpaZaQIR2vYqmhQN4OoOy43x6qhrSPwUsTumHtYyPwyZ0DMLRDDH/teEktfthxirvPJs3bhAH/Wo6vs+i3RjZCqLq62uOyYhw7dowvZ2cLDehY6vx7772HDz/8EPv27cO9997LU+5ZFpkvOZ9rTKfXI65NW758yk8B0wntwpHUIRx2mwPrF3m3vDvhewzx8QhyCfeKxd9B7SQEJyA+KB52px07i3eKPRyCaDlB0UDaJcLyvh/9fnomii5tH42PpvbH9mdG8znLNBvXPQGpkYHchfb3r3bgyUW7UGehWCLJC6EtW7agV69efHILH7b8zDPP8PWJEyfiv//9L19ngc5MJC1duvSsAGp/ucYYCe078nn+Yd8Fyp35ob/khvaABji0uQC5BymDTG6ETXC5x777jnrHMfdYrOAeo4BpQrZ0Gi/M9/tfCDUmPNDILUMs0+ytW3pj1d+H455hwsP6Zxuz8cDnW+GgRBtpCyHWEJXdGM6cFiw4XY33/vvvx4kTJ3g9oI0bN/Lq0mIS31aIE8o77L/Kn6yeUJdLhbpIy97fg0IKnJYVIaNGQRsUBGtODuqyqIaOWwhlFdK1IGRK5lhhnrMJqK+AVNBqNXh8bEduJTLqtfhtXyGe/2GP2MOSNKILITmS0F4odlV04hgaav0X4zDw2raISgpGXaUFi1/dhrJ86tckF7QBAQi5YgxfLqeaQp6A6Z1FO2F1UGAnIUPCU4GodoDTDhz7HVKDWYlYtplGA3y4/gR+P1Qk9pAkCwmhFsYIMUKjYxAel8Czxk7u836Z9fNhDjLgukd7I6FdGKz1dqz98pDfzk1cPGHXCIXYqpYshaOuDmqmbXhbhBpDUWerw4FS6qlEyJS2lwnzIysgRa7ukYhJg9L5MssoI84NCaFWxAgx0lx9xw5u+MOv4zKa9Rg5qTM0Wg2y95Yie0+JX89PtJ7Avn1hSE6Go6YGFd/7riqtHNBqtKfrCVEaPSFXJC6EGNOGtuHzdUdKkF9BWcfngoRQK+k8ZLhHCNVV+TdeJywmwJNSv3XZCb+em7i4RqyRdwhtXkrefRdOq7pdQlRYkZA96ZcCWj1QdgwoPQYpwmoO9U4N58tfbjndMoo4DQmhVsIyx2LT28JmaUDWT/5Pie45OpX7fnMPliNnL/VskgvhN90EXXQ0rLm5qPje98XYpEyfOKGe0JaCLbA5bGIPhyBajikESBI+x8jZCKkyaXC6p4lrFRVbPAsSQq2IEXKntA+8fiJfzvpxESqLC/06vpBIM7oOFaxCv87fgwZqxicLtGYzou68ky8Xz5kLp029AqBrdFeEmcJQ0VBB7jFCviT1FeYnt0CqsI72bWKCUFFnxbPf7aESHmdAQqiVMUKMdv0GIblTV9isFmz/5Wf4m8HXt0NEfCDvQ7ZjBVURlQsRE2+CLjKSp9JX/ChuDRIx0Wv1GJo0lC9vyNsg9nAIonUkuyxCJ89/rxAbnVaDmRO68fm323Lx0y5q19QYEkIXAbMK9b5S6Dmz7/eVfuk91hi9UYe+Vwkmz72/58Ju9+/5idahDQxE1FShMnrJO3PgtKu38qvbPZZVQPWECJlbhAp2A1bpZoMOaBPFiy4yXvhhL7nIGkFC6CLJ6NkXBnMAqktLkH/U/+nsbXvFIiDEgJoKC45tL/b7+YnWEXHzzdCFh8Ny4gQqf14CtTIwcSA00PCA6exKoa0OQciunlBQLMDi3E5Ju1L6fcPbIj0qEIVVDXj9Nyq/4oaE0EWiNxqR0Ut4Iji82f/mfdadvosrVihr6XHy/coEVmU6cvJkvlz8zjuqtQolBSdhcOJgvrzkmHoFISFjWNZKmvAZxnH/llNpKWaDDs9e3YUvf7LxBA7kV4k9JElAQqiVwdKNaddvoGhCiNHjshToDFoU51Sj4Bi13pALEbfdCm1oKCxHj6Jq2TKolTHpQsXtVTmrxB4KQbSODCHWDQeXQuoM7xCDwW2jUG914I55G3GyzH/dEaQKCaGLCJZ2k9GzD7Q6HUpzc1CWlwt/wypOt+sTy5d3raagabmgCw5G5KQ7TluFVGrN6xcvPGzsL9sPi90i9nAIouV0HMcKhQG5W4Cy45B6bOvbt/ZG+9hgFFQ24Lb3N+JggbotQySEvIA5KBipXXvw5X1rV4syhm7Dk/n84KYCasgqIyJvvx2agAA0HDqM+r17oVb3WIQpgtcSonYbhCwJiQPShwjLexZB6rCO9R/d2Z8XWzxeUour31qLJxftwqly6QZ7+xISQl6i05ARfL7/j1WiPNnHpYeifb84wAnsWEHVQ+WCLjQUwUMFs3rVsl+gRtgTKqspxNhV7L/efQThVbpeL8x3fwM5kBAWgO/uvwSXtovmbrLPNmZj9KzV+HCd+mJNSQh5CRYnpDeZUJZ3inelFytWiHEkqwj1NZQaKRdCx1zO55VLlqg2aLpbdDc+JyFEyJZO4wGtAcjfBZyURzmI6GATPpraH5/eNQB90iJQY7Hj2e/34OMN6mrdRELIC8HSDKM5AKlduvPlEzvFSaGMTQ9BVFIQ7DYHNWOVEcHDhvGgaVZgsezTz6BGOkV14vNDZZTSS8iUwEig2w3C8ro3IBe0Wg0uaReNr+4ehAcvE+oMzfr1IKob1FP1noSQF4Kl3aR1F5pIHt26WTQXQ0rnKL6ce6BMlDEQrUulj7l/Ol8u/O9/YTmpvoD3NmFCh+zjlcfhcFJhUEKmDH5AmO/7Hig9Cjmh1WowY1QHtIkOQnmtFZ+oyCpEQsiLtOsrpNHn7t+L2soKUcaQ2F7oMpx3RJzzE60j4vbbEThoIJwWC4rnzIHaSAxOhEFrQIO9AaeqT4k9HIJoHXFdgHajASbm18+G3NBpNbh3eFu+/OnGE6qJFSIh5EVCY2IRk5oOp9OB7N07RBlDfEYon5fl11IjVhnBrHkxDzzIlyu++x7WU6dU13csLTSNLx+rECfGjiC8wiXC9xjbPgVq5BeiMK57IoKMOuSU1mFrtjo8CySEvEyqyz2Ws3unKOcPCDEiNNrMlwtPqLs2hNwI7N0LgQMGAFYrCv7zCtRGRlgGn5MQImQNS6NP6AnY6oDtn0JuBBh1GNM1ni8v2ub/unhiQELIyyR1EII+844cFG0MMakhfF6UQ0JIbsQ98Thz1qNq6VJUr5V2uX6fCaFKEkKEzFtu9LxVWD7wM+TIhF5C26Yfd+bBYlN+zB4JIS8T364DnxdnH4fV0iCqEGItNwh5Ye7YkbfeYOQ/+yzs1TVQC2QRIhRDxyuZIgKy1wMlRyA3BreNRnSwkQdNbzleCqVDQsjLBEdGISAkFE6HA6UnxSlsGBEfxOflBdRDRo7EPPggDElJsObmouDlmVALJIQIxRCWDLQbJSxnLYAcg6aHdRDaNq0+WASlQ0LIS3WEmgS9pqXzZbEKK4bFBvB5RVGdaqL+ldaDLGHmS9zEXvH1N6hasRJqICNUEEKl9aWoaKCsR0Lm9J0izHcuBBzycy8Ny4zhcxJCKqY1dYTcRKcIQqg4R5zme2HRghCy1NlQX02ZY3IkqH9/RE6ezJfznn4ajhrlu8gCDYFIDErky9RzjJA9zCJkDAaqC4A8cYrsXgxD2kVDqwH251fheLGyf39ICPmA6FSXRShbnIJUeqMOwREmj1WIkCcxD82AISUF9pISVPz0E9SAu+fYzmJxsi4JwmvoTUCG0EcQJ9ZDbkQEGTGkvWAV+nKLsvtXkhDyAdGpaZ6AabHwuMcKKU5IrmhNJkT85S98uXzhl6pwc3aPEdrU7CneI/ZQCOLiSe4rzHO3QI5M7Cf0r/w66yQcDuX+/pAQ8gHRyWk8vqO2oly0CtNhMYF8Xk4WIVkTdt0EaIxG1O/Zg8qf5ZmK2xI6Rnbk8/2l+8UeCkFcPMn9hfnxtbKMExrVKQ6BRh0KqxpwoEC55VhICPkAg9mMsBgh4r7kZLYoYwiLESxClSSEZI0+IgKRU4Sgy7zHn0Btljy6Wl+sEDpZfRJVFuX+8BIqIWWAECdUUwTky8/da9RreVd6xsaj8quS3VxICPmIqORUPi/JEUcIhUQK1aWry8SpZUR4j5gH7kfI6FFwWq3Ie/IpOOrroVTCTGFICErgyxQwTcgevRFIdmUey1AIMQa2ERp5bzym3HpCJIR8RGSS4FstyRUnyCzIFSxdXabcm6Za0Oj1SHjpJehjY2E5cQJHx41H5dJlUCqZkZl8fqCMhBChAGI7C/PCfZAjAzIi+XzTsVLFximSEPIRUS4hVCqSEHJnjVWXN8Cp4CA3taALCUHiK69AGxQE68mTyH3oIRS/+x6USOdI4caxMW+j2EMhiIsnVmi7hMK9kCPdksNg1GlRUmPhjViVCAkhH1uExBJCQeEmXuHdYXOijmoJKYKgAf3RbuUKRE6dyteL334btjLldYcelSZU5P395O8UJ0QoSAjJ0yJk0uvQKTGUL28/WQ4lQkLIhyn0Go0W1WWlfPI3Op0WgSFGvlxTQXFCSkEXGorYR/8OU8eOcNbXo3r5ciiN9hHtkRaaBpvThs35LS9oShCSIkZw9fLCirXyjLPpmRzG5ztySAipita22HBjNAcgKkUImM47JE4qcGCYSwiVkxBSEqyNCwueZlSvXg0lMjBhIJ+Te4yQPaYQIEIososT6yBHeqSE8zkJIZVxMS023CR2cKUC790N0dxjAGorLKKcn/AdQYMH83lt1lZFBjC6hdCGvA1iD4UgLp6O44T57m8gZyG0+1QFrHb51UP6M0gI+ZC0bj35/MSu7aKcPyhMEELkGlMe5i5deKFFe2kprCfEaeXiS/rF94MGGhytOIqiWuU3fSQUTrcbhPmBJUCD/OLeMqKCEGLWo97qwEEFFlZskRCaN28eGhroptpckjt38xRVrKuq9Pv5yTWmXLRGI48TYtTvk2cQ5p/VE3IXV9xSIM/2BAThIaEnENkWsNUBB+VX+kKr1aBHsmAV2nqiTN1CaNq0aaioON0yIjExEcePi9dPS+oEhoYhMjGZL5866P+blTtYuq6KssaUiNkthPYrs95O33ihTxMFTBOyR6MBOl9z2iok43pC646UqFsInRmLUFVVBYcM+6f4k/h2Hfi88PhRv587MFQQQrWVFCOkREwdhWyU+v3Kswgx+sUJiQokhAhF0HbE6YBpGcb1DW4Xzefrj5bArrDadBQj5GOiU4VsgeJs/8dxBHgsQiSElGwRalCoRah3XG8+P155HBUN4jQvJgivkdQX0OqBqlNAhTj15S6GHslhCDbpUV5rxa7cCvUKIZa2y6bzrRNnE5OSxufFOSfEswiREFIkpg6CRchWUKDIwoosTiglRChMuqdkj9jDIYiLwxgIxAgPL8gXJ5P4YtDrtBiWGcOXX/hhD6rqrep1jXXo0AGRkZF8qq6uRq9evTzr7ok4TXhCEp9XFObD6Wc3YoBLCFnr7bBZ7H49N+F7dMFBMKQIQqHhgDKtQl2juvL5nmISQoQCiBM+zyiQnxBi/G10B4SY9NiaXY7bPtiEeqsy7iv6luw8f/58341EoYRGx0Cj1cJutaK6vBQhkYKf1R8YzTpodRo47EKbjZBInd/OTfgHc8dMWHNyUL9/P4IGCrV3lESX6C5YcnwJdhfL88ZBEE2I7wqwJvT5uyBH2sQE47NpA3HbBxt5ccVf9hbg6h6JUJUQmjRpku9GolC0Oh1CY2JRUZCPivx8vwoh5rYMCDagpsKCei6EzH47N+EfTJkdUfXrb4qNE+oaLTxB7y2VZ8NKgmhCXBdZW4TcTVhvHZCKt1cdwZJdeYoQQq0KlmYusi1btuDrr7/GN998g61blVnd1luExyXweXlBnt/PbaaAacVbhBjMIqRE2oW34/P8mnzUWmvFHg5BXBxxQm05lB4DLDWQK1d2E+5pKw8UotZig+qE0MqVK9G2bVsMGDAAN910E2688Ubej6t9+/ZYs2aNb0Ypc8LjBcVcln/K7+dmFiEGdaBXJqaOQmfrhiNH4LRYFBkwHWGK8GSPEYSsCY4BzKyBqRMok29F+C6JoUiOCOCVptceKoaqhNDhw4cxbtw4pKen49tvv8W+fft4P66vvvoKycnJuPLKK3H0qP/r5VyI8vJy9O3bFz179kTXrl3x3nvv+X0MEW4hlJcrnhAii5AiMSQlQhMQAFitsJ7yv9D2BxlhGXx+vIKEEKEAIoTPM8qOQa5oNBqM6hTHl5fvK4SqhNBrr72GgQMHYsWKFbjmmmuQmZmJjh074rrrruOWImYlevXVVyElQkJCuKVq+/bt2LhxI1566SWUlPi3MmZkklBduuj4MfFcY2QRUiTsB8kQH8+Xrfn5UCLpYUItLrIIEYogMuO0e0zGjOwUy+fL9xfCIfMCiy0SQqtWrcJDDz103h9k9hoTRFJCp9MhMDCQL7M+aSyWyd/xTIkdOvHMMRYjVFnsX/VsChTi4Rtq5e/HJc6NIUHhQihUEELHKuR94yAITrhQW06ORRUbMyAjihdYLK5uwE6ZF1hskRDKzs5Gt26uYK9zwFxPJ1rYCZtZa8aPH8/7ljExtXjx4rP2mT17NnfHmc1mbnXatGlTi91jPXr04O67Rx99FNHR/svcYpgCAxHXRgj6zN3n33oo5kDBNWapJYuQUtHHC4GLNoUKIY9rjCxChBIIdWVZVcn7+2rUazG0g3AvXb6vAKoRQqyAotu6ci7Ya7W1LcvsqKmp4SKFiZ1zsXDhQjzyyCN49tlneXYa23fMmDEoLDxtWXHH/5w5nXLFTISHh2PHjh04duwYPvvsMxQUnP8/jVmNKisrm0zesgoxcg/6N7uHLELKRx8nmKhtjb4TSsJdXfpk1UnKTiXkT0i8IoQQY2RHIU7om6yTKKuxqKOOEIMFR+ef58mzuLjl0eNjx47l0/mYNWsW73o/ZcoUvj5nzhz89NNPmDdvHh5//HG+jcX/NIe4uDgupH7//XfccMMN59xn5syZeP755+FtEjzNV49ADCFUT0JIsejCWBYKYK/wjmiXGonBwhN0tbUalZZKnklGELIlRLDg8p5jMmdEx1jotRqcqqjH4JdXYP6UfhjYJgqKT58fOXIkt8CcObFWG6NGjfLq4CwWC7KyspocV6vV8vX169c36xjM+lNVVcWXKyoquCuOBXmfjyeeeILv555ycrzjx41wt9ooyBfJIkSuMaWiC3ULIXn76c9HgD4A0QHRHqsQQSjGIiRzC2dkkBGzJvZEbIgJdVY7Xvhhryytti2yCDHXkj9hFia73c4tOY1h6/ubWUCOxSz99a9/9QRJP/DAAxeMczKZTHzyNmFxwoe/tqIclvo6GM0B8AcmV4wQucaUiy7cJYS85MaVIsnBySiuK8bJ6pO87QZByJZg1/3MbgHqyoBAeffnvLpHIoa2j0b/l5Zjb14lDhRUoWN8KBQrhNLSXNHuMqJ///7Ndp01hsUssYkJMW9gDgrmU31NNbcKxaS5Uij9ZBGy1Nq4EGQB6YSy0IUKPzoOhVqEGEkhSdhetB251f6vxUUQXkVvAgKjgNoSoCpP9kKIER5oxND2MfhtXwF+3pknOyHUItfYoUOHcPPNN58zgJi5kW655RavFlRk2V0s/f3M4Ga2Hu+qneIrpk+fzuOhNm/e7LVjhsYKTwL+TKE3mAUhxOo82G0Ov52X8B9alxBSskUoKVhwLZNrjFBWnJD/2y75iqu6C/fkn3fLLwi8RULolVdeQUpKCkJdP7yNCQsL46+xfbyF0WhEnz59sHz5cs82h8PB1wcNGgS5ERYjCKEKP2b3GIyn/4ttDSSEFB0sXVkpS/98c11jDBJChCJQUOaYm5Gd4mDUaXG4sBoHC4S4XEW6xlavXo1PPvnkvK+z3mPMKtTSlHzWuqNxHBJzZUVGRiI1NZWnzrOu96xNBnNzserWLOXenUXmK7ztGmOExsT43SKk1WmhM2hhtzpgabDB7Gq5QSjPNQa7HY6aWuiCgyBn2HfOam0a3J9gSkCCMQE2iw319fWQKwaDgVu5CZXjEULKsQiFmg28rtBv+wrx0848dBgdAkUKIVZQMTZWqFlyPldWS7OsWBf7ESNGeNaZ8GEw8bNgwQJMnDgRRUVFeOaZZ3jaPstQW7p06VkB1L5wjbGJuQGZtcsbhEYL166quAj+xGDUcSFkbfCeqCOkg8ZshsZggNNqhaOyQrZCiFmz2HecFUA9kyBHEB5r9xi0Gq3fkza8Datrxlz7FK+nYjyuMeVYhNxd6ZkQWrYnHw+PFkrGKE4IMUFw5MiR8wZNM8vOudxmF2L48OF/as6///77+SR3AkKEa1Nf7V+zocGkQ32NlYSQQmE3VG1YGOwsy7KiAoZEV+VameEWQexhixVnbSwU7A474IoFTwtP44JIbrDfOVZw1l0MNiHBdTMk1IcCXWOMS9sLZS5Y5lh1g4234JADLRrl0KFD8eabb+Kyyy475+tvvPEGhgwZ4q2xKQ5TcDCfN9TW+PW8BrNgireREFK0e0wQQpWydYe5RVBUVNQ5RYSuTsfneqMeRp3QTFhuBAQIZTOYGGLvldxkKrcIVcq/qGJjYkPMSAoPQG55HXbklOOSdv5tZ9VaWvRYxYoNLlmyhFdlZv2+3EUHWVf366+/HsuWLeP7KAEWH9S5c2f069fPa8c0BQpCiKXQ+9sixCCLkPLjhOyV8kyhd8cEna+FD7MOGbRCfJvVIe/ioO73eGYcFKEiFJg15sZdWfqXPfKxdrVICLHq0V9//TWvzsyytlhAM5sGDx7M21Z8+eWX6N27N5SAL9LnWR0hRkONfy1CeiMJIaXjzhxzyDyF/kJxM3qtYMC2OeRdHJRigwhPUcWaItlXlz6Tcd0FkffTrnzYHfJ4by124I0bN45Xa2YByywmiJmqO3TogMsvv/yCDVkJwBQU5BFCTocDGq1/4hzIIqR8tGEui5BMXWPNQSlCiCAQ5HIZsc9yfTkQEAGlcEm7aIQFGFBc3YDNx0tl0XusRXfiFStWcHcRM+lOmDABjz76KP7xj3/g2muv5du6dOnCLUPEhS1CTqcDFj+mAJMQUlG/MZlbhJojhOTuGiMIXl3a5Eosqml5s3IpY9RrMTxTKBXz+yH/Zkj7RQixGj6sE/z5CirefffdvFu8EvBFjJDeaITO4Or95cc4IXewNAkh5SL3GKHm4I4RkppFKD09nbu7zpyYe50g/tQqpDAhxBjSXhBCaw8VK08I7dixA1dcccV5X2fuMdYtXgn4IkaIYQp0ucfqauHPOkIMEkLKRRem/H5jeo00XWPsNyIvL88z/frrr3z7jTfeKPbQCCkT6BZC8rCatIRLXdliO3MrUFpjgaKEEOvxxSqjng+9Xs+LHxLnx+hKn7XU1vrdNUbp88pF63aNqSBGSGqusZiYGF4g0T39+OOPaNu2LYYNGyb20AgpEyRYTVDdtJemEogPM6NLYiiPA1/wxzFlCaGkpCTs3r37vK/v3LmTioT9CUazEFBuqa/z2zkpRkg9FiElxQjxAoQWm2ey2rSotzhQXW9pst0XU2t7tlksFt6GaOrUqZQdRlyYMKF/Hipa1o1BLjxwWTs+f3/tMR44rZissSuvvBJPP/00d4+ZzeYmr9XV1eHZZ5/lWWVEMyxC/nSNkRBSPEqMEaqz2tH5mWXnefW4T8+994UxCDS2vCru4sWLeWHIyZMn+2RchIKIcHVoKDsBJTKmSzy6JYVhV24F3v/9GB4f2xGKsAj985//RGlpKU+X/89//oPvvvuOT//+97+RmZnJX3vqqaegBHwRLN1UCIlgEbKQEFJ8HSEFu8bkwAcffICxY8ciUaZtTgg/EpEuzMuVKYQ0Gg3uGdaWL7PeY1KmRY88rNHpunXrcO+99/IK0m7zMXvDY8aM4eLB181Q/YUvmq4yjAGBfrcIUUFFFcUIVVb6tUaVLwkw6LhlpjFHyo/CYmtAcmgKQozBPj13S2H11X777Td8++23PhkToVDXmMLabDSGdaM36DQ4VlzDp4xoaTaEbrHtlzVc/fnnn1FWVuYpqNi+fXtERCinIJQvMZpFsAhR+rxqYoTgcMBRUwNdSAjkDnvAOtM9FWY2o8pihV5nb5XrypfMnz+f9w+76qqrxB4KIQfcRRTryqFUQswG9M+IxB+HS7B8XwHuGtIGUqTVj41M+DC3Uf/+/UkEtQCjq/q2X9PnKUZI8WjNZmiMRsVnjrmbrVrs0krJdTgcXAhNmjSJZ88SxJ9idnka7A2A1X8Fdv3N6E6Cl+jrrJOtTkLwNfK3n8vUImT1p0WIXGOqarPhUFDA9PmEkNRS6JlLLDs7m2eLEUSzMDKrrSuzsF6539kJvZK5q3l/fpVkY4VICPkZgyvbztogQouNehJCSkYVbTYkWlSRFZN1910kiGbB4vjcViHWb0yhhAUacPsgIUNu2R5p1kwiIeTnrDGDyeR3IWQMcBWia7DDKZNuwMRFpNCrofGqU1pCiCBahUcIKdcixBjSXqg0veVEKaQICSE/t9gwmNwWIf8VmDIGnM6AsZB7TLEosZbQmei0wmfZ7qDPMaEgIaTggGlG9+RwPs8prUNVvbTc2gwSQn5G77II2Sz+E0I6vRZaneCLttTRk7TyY4SU7xpzOB18IghZExCuCotQWIAB0cHCve94sf8ShZoLCSE/YzC6XWMNfk1DdrvHSAgpF22QUKPDUSO9HxpvodVoPa0rpBYnRBCtC5hmP8zVUDptXDWEjhZL772SEBLLIuRHIcQwumoJWShgWrFoXaUZHH7MSPQ3TATpNMJnmSxChOwxCt9ZWGqgdNrGCkLoQH4VpAYJIbEsQn50jTE8FqF6eopWKlpX1XJHrXItQm6rEMPuJFFPyBxjkGqEUA9XnNDW7DJIDRJCoqXP+9siRK4x9ViElC2EyCJEKAZ3mxir8oVQ7zSh8PKOnArY7NL67pIQ8jN6o0iuMYoRUjzawAB1WYQoc4yQOwb1uMbaxQQjxKxHndXOiytKCRJCItURYlljrDmmvwgINvB5XZX0UhcJ71qEnLXKjRFikEWIUAwqco1ptRr0TBHcY7typZUlR0LIz3WE3MHSDJvVf/2SAkKF1gS1VdLq0UR4D02ASixCrCIvxQgRSkBFQoiRHCH8RhVW+tcj8meQEBIpWNrfcUKBIYIQqqskIaRU1JA11tg1JhWL0HPPPcez2RpPHTt2FHtYhJxihFQihKKChPtfaY20hBC1SfYzGi0rbqiHw26D3eo/N1Wg2yJEQkixqCVrzO0ak5JFqEuXLrzxqhvqQE80CxWlzzMig4T7UHGNtO5D9G0VAZ3BIJoQqiPXmGLRBpFFSCyY8ImPjxd7GITcUJlrLCpYuA+VVkvrPkRCSAR0ej2YBLLb/JfBZQ6hYGmlo3WVZnAqxSLkdALWs9+LztoAjbUODiaIfHUDYdk8rgrWzeHQoUNITEyE2WzGoEGDMHPmTKSmpvpmbIRyUFH6fFPXGAkh1cMsQgy7zX+ixBwknLOh1so70Gu0zf+RJ+SBxuwKlvZzaQafwUTQS4lnbWbVSISKJD7kyVOnn9b/hAEDBmDBggXIzMxEXl4enn/+eQwZMgS7d+9GSIirhQJBnAuVWYTCA4X7UGktCSHVwyxCYgkh9pDdUGfzrBPKQWt2BeLb7XBardC4BDfhW8aOHetZ7t69OxdGaWlp+PLLL3HnnXeKOjZC4qiojhAj1Cz8JtU0SKueHQkhEdDpXRYhP8YIsQ70BrMO1no76qutJIQUiMblGmM46us9lkdZ3ySYZeYMaq11OF55HAatAe0j2vnu3K0kPDwcHTp0wOHDh706JELhWWPsKbUF7lg5EuzqcFBrscPucEInEc8ECSFRLUL+VcVM/HAhVENxQkpEYzQKP6ROJ5z19YDc3TLsvZzDPaXT6uE0BMDGYoSa6b7yJ9XV1Thy5Ahuv/12sYdCSB3P55fFw9WdziJTKEEmIeOTUd1gQ1iANB7WqI6QnytLM9xP6g4RhBCDhJAy4TVsXFYhxcQJ/UnWmJM9RYvM3//+d6xevRrHjx/HunXrMGHCBOh0Otx8881iD42QOo0tjypwj5n0Ohh1Wo8QkgokhPxcWZqhdVmEbH6MEWKYg4TzkhBSLlpX5XJuEVK4EJJKCv3Jkye56GHB0jfddBOioqKwYcMGxMTEiD00QuqwKuluMaSSzLFgl3tMSnFC5BoTAb1eHIuQyRWx31AjnQ8g4V08FqE69QghHU6b28Xgiy++EPX8hALcYyxDUgUWIUawSc/T56vqpXMfIouQCLgtQv4MlmaYAvWeFHpC4bWEGuoV7QJ0iyEni60gCDmjshT6YJNwHyLXmMo5XUdIJItQrXQ+gISPLEL1yo0RcoshqbjGCOKiMLiFUDXU5BqrJouQutGJZRFyxQiREFJDjJDC22y4frqkECxNEN7pN6aQivB/QojHIiQdzwQJITHrCPk7a8xjEZLOB5DwLqqzCIEsQoTM0bvqf9mV/Z090yJEMUIq57QQEitGSDofQMK7qCFGqLEQIosQIXv0rorwNpUIIRPFCBEitdhgmKiOkOLRuFxjSq4j1Ng1RjFChGIsQjZlP7y4oRghommwtNW/H4SAYFcH+moSQkpF4xLZ8LPb1d9Q1hihGNRmETKSRYhonD7v74KKwactQg4H3UCUiMYgfLacfhbZ/oayxgjFoFKLUBUJIXWj96TPW0WxCLGHaNZ4lVAgLpHtVLpFiLLGCKWg0hihGhJC6kajFSrhOh3+fZrV6rSeFPq6aotfz034B41LZDv9XJrB31DWGKEYdOoSQiEUIyQetbW1SEtL4w0SxYYJEobDbvf7uQNDjHxeV6XsG6Va0bgyEp1+tjb6GylmjbFGzenp6TCbzRgwYAA2bdok9pAIOaA6i5CBzyl9XgT+9a9/YeDAgZACWpdFyGH3/9OsO4XeQin0ikQ1wdLurDGJWIQWLlyIRx55BM8++yy2bt2KHj16YMyYMSgsLBR7aITUUVmMkMkgfHctItz/VC2EDh06hP3792Ps2LGQAhrWcZi7xvxvEdIZBBFms/r/3ITvUVuwtFQsQrNmzcK0adMwZcoUdO7cGXPmzEFgYCDmzZsn9tAIqaMyi5DR5RGx2EgIeVizZg3Gjx+PxMRE/uO2ePFir5ucmTts5syZkApancsi5OcYIYbeKPyX26zS+RASXkRBwdJM5NRaa885NdgbUG+rP+/rFzu1RGBZLBZkZWVh1KhRnm1arZavr1+/3kdXh1AMKrMIGXTSswi57OjiUVNTw83IU6dOxXXXXXdekzN7wmIi6LXXXuMm5wMHDiA2Npbv07NnT9jO8cP/yy+/YPPmzejQoQOf1q1bB0kJIRFihPQus6TNIp0PIeE9lBQsXWerw4DPBohy7o23bESgwdUD6k8oLi6G3W5HXFxck+1snVmiCaJ5FiF1CCGjXrDmWkkInYa5qy7ksmpscmYwQfTTTz9xk/Pjjz/Ot23fvv28f79hwwZ88cUX+Oqrr1BdXQ2r1YrQ0FA888wz59y/oaGBT24qKyvhM9eYKEKIXGPqCJaWv0WIINRlEVKLa0wnOdeY6EKoOSbnJ554otUmZ+YSc7vFFixYgN27d59XBLn3f/755+GXYGkxYoRcrjE7ucYUHSythKyxAH0At8yci9L6UhTUFCDUFIqk4CSfnLu5REdHQ6fToaCgoMl2th4fH+/1sREKtQippOmqQYIWIdFjhFprcs7Pz/fJOZnoqqio8Ew5OTnKihHSU4yQklFS1hiLGWTuqfNNZr0ZJp3pgvu0dnIHYzcHo9GIPn36YPny5Z5t7LvN1gcNGuSjq0MoBpUGS1vtTskkO0jaIuRtJk+e/Kf7mEwmPvkStxASxTXmtghRjJAiUU3WGDSS6jXG4hgnTZqEvn37on///jyWkcU/ul36BHFe1BYsrT9tf2EB0ya9cD8UE0kLITFNzixTjU3MIuWrGCExLEKUPq9slBQsLaf0+YkTJ6KoqIi73Zm1miVwLF269CxrNkGchUotQm6rkKvjhqhI2jUmpsl5+vTp2Lt3L8868zYszkmsOkKerDFyjSkTBaXPy8kixLj//vtx4sQJnmyxceNGnuVKEH+K2ixCukYWIYkETIuuxVgm1+HDhz3rx44d41lgkZGRSE1NVaTJ+XT6vIh1hMg1pkjUkjWm1VDTVUIhqMwipNNq+GR3OCUTMC26ENqyZQtGjBjhWWfCh8HED8vyEsvk7FPXmKh1hIRz28k1pkiUlDUmN4sQQVxc01V1WITc7rE6h50sQm6GDx/+p091zOTMJn/CXGNsYnWEwsLCfOIaEyV9nlxjikZjpBghgpAVKrMIMQw6Deqs0qkuLekYIaXiriPkFLPFhoUsQopOn1dJ1phUmq4SRKtRWUFFhtGVOSYV1xgJofPA3GKseWK/fv0U5RozBri6z9eTEFK2a0zhQogsQoTSLEJOO2BX9vdWqo1XSQiJkjUmnhAyuYVQnTq+cKpDLUKIYoQIpVmEVFhLyEoWIfVyOkbI/x8CU6Bwo2yoVfaNUq2oJWuMLEKE4ixCKnKPGT0WIWl8f0kIiYDbNSZGHSFTgHCjtDbYRUnfJ/xVWVrhwdJkESKUAvMQaA3qsgjpXEJIIvcgEkIioHV9CMQQIsaA0+XMLXUUJ6RUkQ0R3K5iWYTIKkQoJ3NMXa4xC8UIqTdYWszu80yEGUzC+RtY/iKhLHQui5DShZDLIkQQikBlKfSBrnp2dRKpZ0dCSIRgaXevMbFuVhQnpFw07gaGKhJCDqe4T5UzZ87kD0whISGIjY3FtddeiwMHDog6JkJmqKzNRqBR+J2qbZDGPYiEkJgtNkQIlmYYzJQ5pvj4M5W4xqTA6tWr+YPThg0b8Ouvv8JqteLyyy/nrYAIokUWIbsFaiDQ1Wm1ViL17ESvLK1mISTWzYoaryoYtQihRhYhsQOmWcufxrDWQMwylJWVhaFDh4o2LkJG6IzCnFxjokBCSIReY2LGCDGo8aoKgqUVkD7PA6Hr6s6/Q53gRrDX1ECrc2XdeAlNQECrrU4VFRV8zhpHE0Sz0OhOF1VUAQEu11iNRFxjJIRE6DXmjhESK33dbRGixqsKDpYWye3qTZgIOtC7z5/69Y/64NyZW7OgCQxs8d8xd/dDDz2ESy65BF27dvXByAhF4ronQOR4N38R5ErYIdeYivG4xkSyCOlcZklyjSk4WNpm4xYVKcXSqAH28LR7926sXbtW7KEQckLjEkIKeIBpDoFGd4wQWYRUiydYWiyLkNs1RkJIua4x949q43WZwdxTzDJzPg6UHeTu5YywNjA3rs7rpXO3lPvvvx8//vgj1qxZg+TkZK+Oh1A4KnONBbqzxsgipF486fNOB3dhuNf97xojIaQ4GgkfFjDdRBjJDGbNupB7SlsfAIfDBm1gALSN+zX5GWZ5e+CBB7Bo0SKsWrUKGRkZoo2FkCmuuFGI5CUQSwjVkRBSL+5gaXdMgc7vQsjlGpPIh5DwHk2Ej0oyx8SuLM3cYZ999hm+++47XksoPz+fb2exhQGtsCwRKkR1FiE9n9dIxDVGdYTEqCztarEhVuaYjlxjiu8+r4oUenebDZHT59955x2eKTZ8+HAkJCR4poULF4o6LkKGMUIqCZY2ux7G6yVyDyKLkIhZYxyH/3/EqY6QSixCCkihbw5iCyGxLVKEAlCZa0znjg2XyHeHLEIioHGrf1eckL9xu8bs5BpTHo1EtmosQhL5MSWIVqMyi5DO9TtlF8EQcC5ICImARtuoKq4IP+KUNaZwcaCy6tJiW4QI4qJRm0VII3x3SQipmkZCiFxjhK/cY2oRQmQRIhQTLO1QleHaTkJIvTS1CDnEK6hILTYUHTCteIuQRIKlCcJ7rjFlf2fd6N2uMYk8xJAQEj1GyP8fBK3OdQNRSRVTteEJxld4sHTjxqsEIWvU5hrTCnOyCKmYJm0PRBBCKqvmrlrXmNKFLgVLE4pBZRYhLcUIyQNf1hFqbBUS40fccwORyIeQ8JFrTCUWIXKNEcqxCCn74eVM15hDIvcgEkLngdUQ2rt3LzZv3uzTOCExntq17nPTk7QiUUuwtBv6HBOyR6XB0jYSQupGTLP+aYuQ309N+AO3a8ymbCFEwdKEYlCZa0znehingooq57RrzCHed04iH0LCVxYhco0RhCxQWbC03iWEKEZI7XhcY2IES1OMkJKhYGn/9xrr3r07QkND+TRo0CAsWbJE1DERMkNlTVe1ru8uucZUjqjB0m6zpEQ+hISXoWBpv5KcnIyXX34ZWVlZ2LJlCy677DJcc8012LNnj6jjImQYNONQmWvMIY17EDVdFf1pVoRgaYoRUkcdIYUHS0tFCI0fP77J+r/+9S9uJdqwYQO6dOki2rgIGXE6XgFqEkJ2ibxfEkIiIaZ7imKE1GIRkrcQYp/PC1U/19p0MDkDoLXqYG2we70fX5N6X83Ebrfjq6++Qk1NDXeREUSzUJlrTCexGCESQmoMlqY6QuoIlpa5mZ2JoHdnrBbl3H99fRgMJtd1bAa7du3iwqe+vh7BwcFYtGgRr0NGEM1CZcHSOiqoSDA8T5sixgiRQUjhwdIKd41JiczMTGzfvh0bN27Evffei0mTJvE6ZATRLFRmEdJ60uel4Zkgi5BYeKwyYqTPSytQjfBVHSF5B0sz9xSzzIh17pZgNBrRrl07vtynTx9eiPX111/H3LlzfTRCQlGoNH3ebRXSu/pfigUJoQu02GAT8/n7thgcxIsRIiGkSJRSWZp9R1rinpISDocDDQ0NYg+DkAunf5ShJouQO2BabCEi9vkl3WKDTZWVlQgLC/NZZo+oLTZICCkTvds1po4fVbF54oknMHbsWKSmpqKqqgqfffYZVq1ahWXLlok9NEIuqEwI6RolIkih3BkJITW32CAdpEg0Or0qKktLhcLCQtxxxx3Iy8vjD02suCITQaNHjxZ7aIRcUJlrTNfIImTjSkhcyy8JIZGzxsQJlnadmixCyg6Wlnn6vFz44IMPxB4CIXdUFiyt00rLIkRZYyIhZvd5qbQmIHyEJ2uMLEIEISuLkApdY3YJ3IdICKnRNUZZYyqpI6SOH1WCkD1uM71KXGNarcadOO1yjYkLCSEVFlQ8HSzt91MT/gyWJtcYQcgDlbnGGluFJKCDSAipusUGWYQUCQVLE4Rcm65KQBX4+YGcXGNqRgotNiTwASS8j0bn+myRRYgg5IEKLUJ6txCyi38fIiGk4hghco0pFJdFyKmSeAOCkD0qC5Zu0m9MAg/kJIREQszGp9R0VdkopbI0QagGlQVLN3GNSeA+REJIJDyVpcVwjbm/cxJQ4oQPoGBpgpAXanaNOcS/D5EQUqFrzNPnRSKdfwnvonGZ2amOEEHIBJVVlpaaRUgVlaXT09MRGhoKrVaLiIgIrFy5UjLd58XIEnCLMAbTQY1WCQWgcVmEQL3GCEIeqKzXWJP0eQk8jKvGIrRu3Tps375dGiJIIt3n+fkloMYJHwVLk0XIL6xZswbjx49HYmIi/14vXrxY7CERckONQkgr3ANtErgHqUYISQ0xCyq6s8b4+SXwISR8FCxNMUJ+oaamBj169MDs2bPFHgohV1ToGtNJyDWmlcPTFPuBYe4ts9mMAQMGYNOmTS06BzvusGHD0K9fP3z66aeQAuIWVGzc8E78DyHhZdx1hGSeNcbi16z19aJMLYmdGzt2LF588UVMmDDBp9eDUDAqDJbWaaXjGtNL5Wlq6tSpuO666856feHChXjkkUcwZ84cLoJee+01jBkzBgcOHEBsbCzfp2fPnrDZznYD/PLLL1xgrV27FklJScjLy8OoUaPQrVs3dO/e/ZzjaWho4JObyspKKC5Y+owYIUKZlaXl7hqzNTTgjUk3iHLuBz/8GgazWZRzEypExRYhqwRiGUUXQuxpik3nY9asWZg2bRqmTJnC15kg+umnnzBv3jw8/vjjfBuL/bkQTAQxEhIScOWVV2Lr1q3nFUIzZ87E888/D2W7xk4vk2tMeVCwNEHIjPBUoPO1QFxXqAWzQbgRNdjE/50SXQhdCIvFgqysLDzxxBOebSzzi1l11q9f32yLk8PhQEhICKqrq7FixQrcdNNN592fnYtZoBpbhFJSUuAz95SIBRUZlD6vQBRiEdKbTNwyI9a5CcJvpA0WJhURYBAe2Oot4lvBJC2EiouLYbfbERcX12Q7W9+/f3+zjlFQUODx3bNjMesSixU6HyaTiU/qCZb2++kJP/Uak3uwNBPs5J4iCGVidgmhOqv4v1OSFkLeoE2bNtixY0eL/44FaLOJiSclNj5lYoi5xcg1pkBcWWNyD5YmCEL5FqE6CQgh0bPGLkR0dDR0Oh236jSGrcfHx/v03NOnT8fevXuxefNmH2eNiWOS8bTZICGk2GBpNQVeiglzubM4RXes4rFjx/hydna22EMjCMkSYHQJIQm4xiQthIxGI/r06YPly5d7trF4H7Y+aNAgyBqPa0wcIeLOHCOLkHKDpanXmH/YsmULevXqxScGizFky88884zYQyMI6ccIWcX/ndJL4Wnq8OHDnnX301RkZCRSU1P5j8qkSZPQt29f9O/fn6fPswBodxaZr1CDa0w4vyinJ3yJp9eY+D8wamD48OGUdEAQLYRihM54mhoxYoRn3Z2xxcTPggULMHHiRBQVFfGnq/z8fF4zaOnSpWcFUPvCNcYmljUWFhbmu+7zYrnG3H1XySKk3PT5c9TWIgiCkJZrzCH2UMQXQs15mrr//vv5pCSkYxEiIaTYYGmRRDZBEMSfQcHSRCMhJFawtKu8OVmElBssLfM6QgRBKJcACcUIkRA6Dyw+qHPnzhesOeQd35RvDt/8rDVxzk/4vo4QBUsTBCFVzJQ1Jn18nj4vYkFFhrumIrnGlFxZWvwfGIIgCKm7xkSPEYLaXWMiuaYSO0SgvsYKg0uVE0rsNSb+DwxBEMS5MOiEe6BNArGMJIREQuxg5cvv7CLKeQk/QJWlCYKQSfd5uwTiVMk1JlKMkNiuMUL5wdJyb7pKEIRy0bm8IiSEVB0jRJWdCd+glKarBEEoF7dFyCaBeyAJIZFwF1SktC3C22iDgmDMyIAhOVnsoRAEQZwTvU46JVxICKm0oCKhXAJ69EDbJT8j5e3ZYg9Fdbz88sv8u/3QQw+JPRSCkDRa1z2QLEIq5rRrjCxCBKEEmBt97ty56N69u9hDIQjJo3d5RShGSM3B0u5eY2QRIohzwr4bDotdlKml30vWPPrWW2/Fe++9h4iICJ9dE4JQCjoJZY1R+rxITVfdlaVJCBHEuXFaHTj1zDpRzp34wmBoWlBji/1WXHXVVRg1ahRefPFFn46NIJSAjoQQ4UmfJ9cYQciaL774Alu3bvVZhilBKFoIOUkIqRZPqzEJfAgIQopoDFpumRHr3M0hJycHM2bMwK+//gqz2ezzcRGE4tLn7eLfA0kIiQQVVCSIP08oaIl7SgyysrJQWFiI3r17e7bZ7XasWbMGb731FhoaGqBzVfomCOI0enKNEe4WG2J1nycI4uIZOXIkdu3a1WTblClT0LFjRzz22GMkggjiPJBrTCZZY2xiT3c+gSxCBCF7QkJC0LVr1ybbgoKCEBUVddZ2giCkGSxN6fNit9iQgBomCIIgCLUKIbIIiURcRlt0GDQEUcmpYg+FIAgvsmrVKrGHQBCSR09CiOg6YjSfCIIgCEK9LTYcYg+FXGMEQRAEQYjVdBWiQ0KIIAiCIAi/oiOLEEEQBEEQag+WdjjFTxoiIUQQBEEQhCjd56UQME1CSKTu8wRBEAShVrSN1IeNhJA66wgRBEEQhFrRN1JCDnKNEQRBEAShxhghBlmECIIgCIJQrRCyi9yBnoQQQRAEQRB+pZEOEr3xKgkhgiCIiyQ3Nxe33XYbb7YaEBCAbt26YcuWLWIPiyAki0ajkUy/MWqxQRAEcRGUlZXhkksuwYgRI7BkyRLExMTg0KFDiIiIEHtoBCFpdFoNF0FixwiRECIIQpKwImtWq1WUcxsMBv7E2hz+/e9/IyUlBfPnz/dsy8jI8OHoCEI5jVctvM0GCSGCIIizYCLopZdeEuXcTz75JIxGY7P2/f777zFmzBjceOONWL16NZKSknDfffdh2rRpPh8nQSijzYZT1HFQjBBBEMRFcPToUbzzzjto3749li1bhnvvvRcPPvggPvzwQ7GHRhCSRudqvEoxQhKuLM0mu90u9lAIQpUw9xSzzIh17ubicDjQt29fj/WqV69e2L17N+bMmYNJkyb5cJQEIX/XGIOEkIQrS7OpsrISYWFhYg+HIFQHi9FprntKTBISEng7nsZ06tQJ33zzjWhjIgg5oJVIB3pyjREEQVwELGPswIEDTbYdPHgQaWlpoo2JIORkEXKIq4PIIkQQBHExPPzwwxg8eDB3jd10003YtGkT3n33XT4RBHF+Pr5rAFgtxeSIAIgJCSGCIIiLoF+/fli0aBGeeOIJvPDCCzx1/rXXXsOtt94q9tAIQtK0jQmGFCAhRBAEcZGMGzeOTwRByA+KESIIgiAIQrWQECIIgiAIQrWQECIIgiAIQrWQECIIgiAIQrWQECIIQlKNVpWOGt4jQcgJEkIEQYiOu6VFbW0tlI77PbakjQdBEL6D0ucJghAdnU6H8PBwFBYW8vXAwEDeYkNpliAmgth7ZO+VvWeCIMRHFULo2LFjmDp1KgoKCviPz4YNGxAUFCT2sAiCaER8fDyfu8WQUmEiyP1eCYIQH1UIocmTJ+PFF1/EkCFDUFpaCpPJJPaQCII4A2YBYg1MY2NjYbVaoUSYO4wsQQQhLRQvhPbs2cN/fJgIYkRGRoo9JIIgLgATCiQWCIJQTbD0mjVrMH78eCQmJvInwsWLF5+1z+zZs5Geng6z2YwBAwbwpobN5dChQwgODubn6N27N2+MSBAEQRAEIQmLUE1NDXr06MFjeK677rqzXl+4cCEeeeQRzJkzh4sg1sxwzJgxOHDgADehM3r27AmbzXbW3/7yyy98+++//47t27fz/a+44greJHH06NF+eX8EQRAEQUgX0YXQ2LFj+XQ+Zs2ahWnTpmHKlCl8nQmin376CfPmzcPjjz/OtzGRcz6SkpLQt29fpKSk8PUrr7yS738+IdTQ0MAnN5WVla1+bwRBEARBSBvRhdCFsFgsyMrKwhNPPOHZptVqMWrUKKxfv75Zx2DWH5aFUlZWhrCwMO6Ku/vuu8+7/8yZM/H888+ftZ0EEUEQBEHIB/d9+8+KmEpaCBUXF8NutyMuLq7Jdra+f//+Zh1Dr9fzuKChQ4fyi3H55Zdj3Lhx592fiS7mimuces9cb26LEkEQBEEQ8qGqqoobQmQphPzlfmsMS61vnF6flpbG59nZ2Re8kIT3lTwTnzk5OQgNDRV7OKqCrr040HUXD7r2yrz2zPjBRBBLxroQkhZC0dHRPI2WFUJsDFv3V0Ey5opjMBFEXxD/w645XXdxoGsvDnTdxYOuvfKufXMMGKKnz18Io9GIPn36YPny5Z5tDoeDrw8aNEjUsREEQRAEIX9EtwhVV1fj8OHDTWJyWFYXK3yYmprK43UmTZrEM7/69+/P0+dZyr07i4wgCIIgCEK2QmjLli0YMWKEZ90dqMzEz4IFCzBx4kQUFRXhmWeeQX5+Pg9cXrp06VkB1L6CxQs9++yz1JbDz9B1Fw+69uJA11086Nqr+9prnH+WV0YQBEEQBKFQJB0jRBAEQRAE4UtICBEEQRAEoVpICBEEQRAEoVpICBEEQRAEoVpICF2A2bNnIz09HWazmXe+37Rpk9hDkjWsjxvr/RYSEoLY2Fhce+21OHDgQJN96uvrMX36dERFRSE4OBjXX3/9WQU1WZXvq666CoGBgfw4jz76KGw2m5/fjXx5+eWXodFo8NBDD3m20XX3Hbm5ubjtttv4tQ0ICEC3bt14tqwblq/CsmITEhL466yX4qFDh5oco7S0FLfeeisvOBceHo4777yTlx4hzg9rz/T0008jIyODX9e2bdvi//7v/5r0naJr7x1YD8/x48fzCs7st2Xx4sVNXvfWdd65cyeGDBnC78msGvV//vMf77wBljVGnM0XX3zhNBqNznnz5jn37NnjnDZtmjM8PNxZUFAg9tBky5gxY5zz58937t6927l9+3bnlVde6UxNTXVWV1d79rnnnnucKSkpzuXLlzu3bNniHDhwoHPw4MGe1202m7Nr167OUaNGObdt2+b8+eefndHR0c4nnnhCpHclLzZt2uRMT093du/e3TljxgzPdrruvqG0tNSZlpbmnDx5snPjxo3Oo0ePOpctW+Y8fPiwZ5+XX37ZGRYW5ly8eLFzx44dzquvvtqZkZHhrKur8+xzxRVXOHv06OHcsGGD8/fff3e2a9fOefPNN4v0ruTBv/71L2dUVJTzxx9/dB47dsz51VdfOYODg52vv/66Zx+69t6B/R489dRTzm+//ZapTOeiRYuavO6N61xRUeGMi4tz3nrrrfwe8vnnnzsDAgKcc+fOvejxkxA6D/3793dOnz7ds263252JiYnOmTNnijouJVFYWMi/NKtXr+br5eXlToPBwH+w3Ozbt4/vs379es8XTqvVOvPz8z37vPPOO87Q0FBnQ0ODCO9CPlRVVTnbt2/v/PXXX53Dhg3zCCG67r7jsccec1566aXnfd3hcDjj4+Odr7zyimcb+/8wmUz8h56xd+9e/n+xefNmzz5LlixxajQaZ25uro/fgXy56qqrnFOnTm2y7brrruM3UgZde9+AM4SQt67z22+/7YyIiGjye8O+X5mZmRc9ZnKNnQOLxYKsrCxuvmvcc4ytr1+/XtSxKYmKigo+Z1XEGeyaW63WJte9Y8eOvMK4+7qzOXMtNC6oOWbMGN64b8+ePX5/D3KCub6Ya6vx9WXQdfcd33//Pa+Kf+ONN3J3Yq9evfDee+81qaTPCsU2vvasNxJzxTe+9sxVwI7jhu3PfpM2btzo53ckHwYPHszbMR08eJCv79ixA2vXrvU04KZr7x+Oeek6s32GDh3KW281/g1i4RVlZWXyriwtRYqLi7l/+czq1Wx9//79oo1LSbCecSxG5ZJLLkHXrl35NvZlYR9y9oU487qz19z7nOv/xf0acW6++OILbN26FZs3bz7rNbruvuPo0aN45513eMX8J598kl//Bx98kF9vVj3ffe3OdW0bX3smohqj1+v5AwRd+/Pz+OOPc6HORD1r3s1+0//1r3/xOBQGXXv/kO+l68zmLN7rzGO4X4uIiGj1GEkIEaJZJ3bv3s2f0AjfkpOTgxkzZuDXX3/lQYaEfwU/e8p96aWX+DqzCLHP/Zw5c7gQInzHl19+iU8//RSfffYZunTpwntYsocvFtBL155oDLnGzkF0dDR/gjgza4atx8fHizYupXD//ffjxx9/xMqVK5GcnOzZzq4tc0uWl5ef97qz+bn+X9yvEWfDXF+FhYXo3bs3f8pi0+rVq/HGG2/wZfZURdfdN7Asmc6dOzfZ1qlTJ56B1/jaXei3hs3Z/19jWLYey7Kha39+WFYjswr95S9/4W7d22+/HQ8//DDPXmXQtfcP8V66zr78DSIhdA6Y2bpPnz7cv9z4yY6tDxo0SNSxyRkWR8dE0KJFi7BixYqzzJzsmhsMhibXnfl/2U3Dfd3ZfNeuXU2+NMzSwVIuz7zhEAIjR47k14w9EbsnZqVgLgL3Ml1338Bcv2eWiGAxK2lpaXyZfQfYj3jja8/cOSwuovG1ZyKVCVo37PvDfpNYnAVxbmpra3mMSWPYAy67bgy69v4hw0vXme3D0vRZPGPj36DMzMyLcotxLjrcWsHp8yyqfcGCBTyi/a9//StPn2+cNUO0jHvvvZenUK5atcqZl5fnmWpra5ukcbOU+hUrVvA07kGDBvHpzDTuyy+/nKfgL1261BkTE0Np3C2kcdYYg66778oV6PV6nsp96NAh56effuoMDAx0fvLJJ01Si9lvy3fffefcuXOn85prrjlnanGvXr14Cv7atWt59h+lcF+YSZMmOZOSkjzp8yy1m5V8+Mc//uHZh669d2AZqaysBpuYrJg1axZfPnHihNeuM8s0Y+nzt99+O0+fZ/do9l2i9Hkf8+abb/KbA6snxNLpWX0DovWwL8i5JlZbyA37Ytx33308TZJ9yCdMmMDFUmOOHz/uHDt2LK8hwX7Y/va3vzmtVqsI70g5Qoiuu+/44YcfuIhkD1YdO3Z0vvvuu01eZ+nFTz/9NP+RZ/uMHDnSeeDAgSb7lJSU8JsCq4PDShZMmTKF33yI81NZWck/4+w33Gw2O9u0acNr3TROv6Zr7x1Wrlx5zt92Jka9eZ1ZDSJWjoIdg4lcJrC8gYb9c3E2JYIgCIIgCHlCMUIEQRAEQagWEkIEQRAEQagWEkIEQRAEQagWEkIEQRAEQagWEkIEQRAEQagWEkIEQRAEQagWEkIEQRAEQagWEkIEQRAEQagWEkIEQRAEQagWEkIEQTQhJycHU6dORWJiIm9AzBqEzpgxAyUlJWIPjSAIwuuQECIIwsPRo0d5N/pDhw7h888/x+HDhzFnzhzeOZp1fy4tLRV7iARBEF6FhBBBEB6mT5/OrUC//PILhg0bhtTUVIwdOxa//fYbcnNz8dRTT3n21Wg0WLx4cZO/Dw8Px4IFC5pYl2666Sa+PTIyEtdccw2OHz/ueX348OF46KGHmhzj2muvxeTJkz3rDQ0N+Pvf/46kpCQEBQVhwIABWLVq1QXfR3Z2Nj9XcHAwQkND+RgKCgqa7PPDDz+gX79+MJvNiI6OxoQJE5qc87HHHkNKSgpMJhPatWuHDz74gL/G3h97P41h14FdDzfPPfccevbsiblz5/JjBAYG8jFUVFR49tm8eTNGjx7Nzx0WFsav99atW5sclx3z/fff52Njx2jfvj2+//77Jvvs2bMH48aN4+8zJCQEQ4YMwZEjR7BmzRoYDAbk5+c32Z9db7YPQRACJIQIguAwa8+yZctw3333ISAgoMlr8fHxuPXWW7Fw4UI0t0+z1WrFmDFj+M35999/xx9//MGFyRVXXAGLxdLscd1///1Yv349vvjiC+zcuRM33ngjPwazWp0Lh8PBRRB7P6tXr8avv/7KLV0TJ0707PPTTz9xcXHllVdi27Zt3OLVv39/z+t33HEHt4i98cYb2LdvHxc0bOwtgVnTvvzySy64li5dys/Drq2bqqoqTJo0CWvXrsWGDRu4yGHjYdsb8/zzz3MRxd47e539P7gtc0ycDh06lIu1FStWICsri7s1bTYb396mTRt8/PHHTf5PPv30U74PQRAuvNLDniAI2bNhwwamcJyLFi065+uzZs3irxcUFPD1c+0bFhbmnD9/Pl/++OOPnZmZmU6Hw+F5vaGhwRkQEOBctmwZXx82bJhzxowZTY5xzTXXOCdNmsSXT5w44dTpdM7c3Nwm+4wcOdL5xBNPnHOcv/zyC/+b7Oxsz7Y9e/bw8W7atImvDxo0yHnrrbee8+8PHDjA9/3111/P+Tp7f+x9NoZdh8Y/p88++ywfw8mTJz3blixZ4tRqtc68vLxzHtdutztDQkKcP/zwg2cbO+Y///lPz3p1dTXfxo7FYNcgIyPDabFYznnMf//7385OnTp51r/55htncHAwPw5BEAJkESIIogl/ZvFhrrPmsGPHDm4VYRYhZk1hE3OP1dfXc9dNc9i1axfsdjs6dOjgOQabmKXnfMdgFhzmjmKTm86dO3N3FnuNsX37dowcOfKcf89e0+l03FV1MTC3InPnuWExVsxadeDAAb7OXHXTpk3jliDmGmOurerqau7Wa0z37t09y8w1yPYrLCz0jJW5uZgL7FwwFyP7P2AWJ7dbj1mX2HEIghDQu+YEQagcFgfDYlKYWGgcL+OGbY+JifHEx7B9zxRNzPXiht3U+/Tpw10xZ8KOw9BqtX96DCZKmMuHzRvTUldVY850/TX3teaMubkwtxjLxHv99dd5Zh5zbzGxdKbb8EyRw647E1TNGWtsbCzGjx+P+fPnIyMjA0uWLPnT+CqCUBtkESIIghMVFcWDd99++23U1dU1eY0F3DJB0ziImYmZvLw8zzqL2amtrfWs9+7dm29jN2MmshpPzAJyrmMw68/u3bs967169eLbmAXkzGOwuKVz0alTJx6kzSY3e/fuRXl5ObcMua0sLC7oXHTr1o0LDWZ1OhdszCyOp6amxrONWWbOhFl2Tp065VlnVhkmojIzM/k6i5l68MEHedxPly5duBAqLi5GS2Dvg8VfXUiI3XXXXTy2691330Xbtm1xySWXtOgcBKF4XC4ygiAI58GDB53R0dHOIUOGOFevXs3jbFg8SteuXZ09e/Z0VlVVefb9y1/+wuNPtm7d6ty8ebPzsssucxoMBk+MUE1NjbN9+/bO4cOHO9esWeM8evSoc+XKlc4HHnjAmZOTw/eZM2eOMzAw0Pnjjz869+3b55w2bZozNDTUEyPEYLE86enpPL6FHWPjxo3Ol156if/NuWAxSWys7D1kZWXx/fv06cPjkdywcbB4nWeeeca5d+9e586dO50vv/yy5/XJkyc7U1JSeOyPe9wLFy7kr5WUlDiDgoKcDz74oPPw4cPOTz/91JmYmHhWjBDbZ9SoUc7t27fz99+hQwd+zdz06tXLOXr0aH5+Fp/Fxsvip1599VXPPn8Wh1VcXOyMiopyXnfddfz/gP3/ffTRR879+/c3iT1i78VoNDZ5jwRBCJAQIgiiCceOHeNCJC4uzqnRaPjNmN1ombBpDAtgvvzyy/kNnwmen3/+uclNmsECg++44w4urkwmk7NNmzZc7FRUVPDXWZDvvffe64yMjHTGxsY6Z86c2SRY2r0PEyxMDDGhlZCQ4JwwYQIXL+eDBVlfffXVfGwsAPnGG2905ufnN9mHCSsmmJhAYONj79FNXV2d8+GHH+bnYq+3a9fOOW/ePM/rTJywbUy4jBs3zvnuu++eJYR69OjhfPvtt7lIMpvNzhtuuMFZWlrq2YcJyL59+/LX2PX76quvnGlpaS0SQowdO3bw/wcmKNl7ZYLqyJEjTf7m6aef5sHbp06dOu81Iwi1omH/iG2VIghCujz77LOYNWsWT0MfOHCg2MORBayOEKstdC6XmRjceeedKCoqOqsGEUEQFCxNEMSfwOrYpKen8xgXVmuHxbkQ8oAVcGSZd5999hmJIII4DySECIL4U6ZMmSL2EIhWwApLbtq0Cffccw8PhCcI4mzINUYQBEEQhGohGzdBEARBEKqFhBBBEARBEKqFhBBBEARBEKqFhBBBEARBEKqFhBBBEARBEKqFhBBBEARBEKqFhBBBEARBEKqFhBBBEARBEFAr/w/VkF6qcnUf1wAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = tadpole.simulator.show_ccdf(sort=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Node 7 overflowed, while node 5 was not in a good shape either."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This can also be showed with average queue sizes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:44.819848Z",
     "start_time": "2024-07-09T20:48:44.608619Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:48.856384Z",
     "iopub.status.busy": "2025-09-28T06:59:48.856384Z",
     "iopub.status.idle": "2025-09-28T06:59:49.005119Z",
     "shell.execute_reply": "2025-09-28T06:59:49.005119Z",
     "shell.execute_reply.started": "2025-09-28T06:59:48.856384Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = tadpole.simulator.show_average_queues(sort=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's change the arrival rates to have something nicer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:44.833657Z",
     "start_time": "2024-07-09T20:48:44.827879Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:49.007129Z",
     "iopub.status.busy": "2025-09-28T06:59:49.006129Z",
     "iopub.status.idle": "2025-09-28T06:59:49.011212Z",
     "shell.execute_reply": "2025-09-28T06:59:49.010202Z",
     "shell.execute_reply.started": "2025-09-28T06:59:49.007129Z"
    }
   },
   "outputs": [],
   "source": [
    "tadpole.rates = [1, 1, 1, 1, 2, 2, 2, 1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that it works!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:49.087869Z",
     "start_time": "2024-07-09T20:48:44.837689Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:49.012210Z",
     "iopub.status.busy": "2025-09-28T06:59:49.011212Z",
     "iopub.status.idle": "2025-09-28T06:59:55.298205Z",
     "shell.execute_reply": "2025-09-28T06:59:55.298205Z",
     "shell.execute_reply.started": "2025-09-28T06:59:49.012210Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tadpole.run(\"fcfm\", n_steps=10000000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:49.100407Z",
     "start_time": "2024-07-09T20:48:49.091880Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:55.299234Z",
     "iopub.status.busy": "2025-09-28T06:59:55.299234Z",
     "iopub.status.idle": "2025-09-28T06:59:55.305599Z",
     "shell.execute_reply": "2025-09-28T06:59:55.305599Z",
     "shell.execute_reply.started": "2025-09-28T06:59:55.299234Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-6105bd17-2d38-468c-a0d3-07a4af787dbd\">\n",
       "<div id=\"6105bd17-2d38-468c-a0d3-07a4af787dbd\"></div>\n",
       "<a href=\"#\" id=\"fit-6105bd17-2d38-468c-a0d3-07a4af787dbd\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-6105bd17-2d38-468c-a0d3-07a4af787dbd {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#6105bd17-2d38-468c-a0d3-07a4af787dbd {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"1\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"1\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"1\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"1\", \"title\": \"3\"}, {\"id\": 4, \"label\": \"2\", \"title\": \"4\"}, {\"id\": 5, \"label\": \"2\", \"title\": \"5\"}, {\"id\": 6, \"label\": \"2\", \"title\": \"6\"}, {\"id\": 7, \"label\": \"1\", \"title\": \"7\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"0.5\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 4)\", \"label\": \"0.5\", \"color\": \"blue\", \"from\": 0, \"to\": 4}, {\"title\": \"2: (1, 2)\", \"label\": \"0.501\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (2, 3)\", \"label\": \"0.5\", \"color\": \"blue\", \"from\": 2, \"to\": 3}, {\"title\": \"4: (3, 4)\", \"label\": \"0.498\", \"color\": \"blue\", \"from\": 3, \"to\": 4}, {\"title\": \"5: (4, 5)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 4, \"to\": 5}, {\"title\": \"6: (5, 6)\", \"label\": \"0.998\", \"color\": \"blue\", \"from\": 5, \"to\": 6}, {\"title\": \"7: (6, 7)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 6, \"to\": 7}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('6105bd17-2d38-468c-a0d3-07a4af787dbd');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-6105bd17-2d38-468c-a0d3-07a4af787dbd').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tadpole.show_flow()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the queues are much more tight!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:49.353187Z",
     "start_time": "2024-07-09T20:48:49.103950Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:55.306760Z",
     "iopub.status.busy": "2025-09-28T06:59:55.306760Z",
     "iopub.status.idle": "2025-09-28T06:59:55.410489Z",
     "shell.execute_reply": "2025-09-28T06:59:55.410489Z",
     "shell.execute_reply.started": "2025-09-28T06:59:55.306760Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AgLPCjdo7ysvLSy5evCiZM2e2lquF/datW2evegEAAKTOOjcbNmzQ3VEFChSwKVdbL1y4cCFltQAAAHBWy839+/dtWmwS3Lp1S7y9ve1VLwAAgNQJNzVr1pT58+dbzz08PCQ+Pl4++eQTqVu3bspqAQAA4KxuKRVi6tevL/v27ZPY2Fjp37+/HD16VLfcqA00AQAA3KrlpmzZsnLy5EmpUaOGNGvWTHdTvf7663Lw4EEpVqyYY2oJAADgyI0zfXx85MMPP0zJRwEAAFwr3Gzfvv2p79eqVet56gMAAJC64aZOnTqJytSg4gRxcXHPVyMAAIDUHHMTFRVlc1y/fl0v3le5cmW9Bg4AAIBbtdyo8TZ/9/LLL0uGDBmkb9++sn//fnvVDQAAwHm7gufLl09OnDhhr9sBAACkTsvNoUOHbM7VbuBq88zRo0dLUFBQymoBAADgrHCjAowaQKxCzeOqVasms2fPtle9AAAAUifcnDt3zuY8Xbp0kidPHsmYMWPKagAAAODMcFO4cGHr6z///JNQAwAA3HtAsVrHZvjw4ZI/f37JmjWrnD17VpcPGjRIZs2a5Yg6AgAAOK7lZsSIETJv3jy9gWaXLl1s9pyaOHGidOrUKbm3BOBEAQN+EHd0fnRjZ1cBgCktN/Pnz5cZM2ZI27ZtxdPT01peoUIF+e233+xdPwAAAMeGm8uXL0vx4sUTlcfHx8ujR4+SezsAAADnhpvSpUvLjh07EpUvXbpUKlasaK96AQAApM6Ym8GDB0t4eLhuwVGtNd99951emVh1V61evTpltQAAAHBWy02zZs1k1apVsmnTJsmSJYsOO8ePH9dlao8pAAAAt2q5UWrWrCkbN260f20AAABcZeNMAAAAt2y5UdstqL2lnrbIHwAAgNuEm+XLl9ucq+nfBw8e1Av7DR061J51AwAAcHy4UQOK/+5f//qXlClTRhYvXswKxQAAwIwxN9WqVZOIiAh73Q4AAMB54ebhw4cyadIkvZkmAACAW3VL5cyZ02ZAscVikbt370rmzJllwYIF9q4fAACAY8PNhAkTbMKNmj2VJ08eqVq1qg4+AAAAbhVu2rdv75iaAAAAOCPcHDp06JmvLV++fHJvDwAAkLrhJigo6KmL+CWMw1HXsKAfAABw+dlSahfwIkWKyOeff64X71OHel2sWDFZtmyZnD17Vs6dO6d/BQAAcPmWm5EjR+pp340aNbLpfipYsKAMGjRI9u/fb+86AgAAOK7l5vDhw7rl5u9U2bFjx5J7OwAAAOeGm1KlSsmoUaMkNjbWWqZeqzL1HgAAgFt1S02fPl2aNGkiBQoUsM6GUjOo1ADiVatWOaKOAAAAjgs3VapU0YOFFy5cKL/99psua926tbz11luSJUuW5N4OAADA+XtLqRDzzjvvyPjx4/XRpUuXFAWb7du361Ygf39/3fKzYsWKf/zM1q1bpVKlSuLt7S3FixeXuXPnpuQRAACAoey2K3hK3L9/XypUqCBTp059puvVFPPGjRtL3bp15ZdffpHevXtL586dZf369Q6vKwAAMLRbyp5effVVfSRnvI+alTVu3Dh9rgYw79y5U+931bBhQwfWFAAAuAunttwk1+7duyUsLMymTIUaVf4kMTExEh0dbXMAAABzuVW4uXr1quTLl8+mTJ2rwPLw4cMkP6OmqPv4+FgPtdggAAAwV4rCze3bt2XmzJkycOBAuXXrli47cOCAXL58WVyNquOdO3esR2RkpLOrBAAAXG1XcNU1pFpBzp8/r2dK5cqVS+85dfHiRZk/f75jaioivr6+cu3aNZsydZ49e3bJlClTkp9Rs6rUAQAA0oZkt9z07dtX2rdvL6dOnZKMGTNay9VeU2pqtyOFhIRIRESETdnGjRt1OQAAQIrCzc8//yxdu3ZNVJ4/f349JiY57t27p6d0qyNhqrd6rVqAErqU2rVrZ73+3Xff1QsI9u/fXy8gqHYjX7JkifTp04fvJgAASFm4UV08Sc04OnnypOTJkydZ99q3b59UrFhRHwmtQur14MGD9fmVK1esQUdR08B/+OEH3Vqj1sdRU8LV2B+mgQMAgBSPuWnatKkMGzZMt5goamVhFUA++OADeeONN5J1rzp16ojFYnni+0mtPqw+c/DgweRWGwAApBHJbrlRrSWqOylv3rx6+nXt2rX1NgjZsmWTESNGOKaWAAAAjmq5UbOkVLeQWhlYzZxSQUft9fT3xfUAAADcavuFGjVq6AMAAMCtw82kSZOSLFdjb9TUcNVFVatWLfH09LRH/QAAABwbbtQmlTdu3JAHDx5Izpw5dVlUVJRkzpxZsmbNKtevX5eiRYvKli1b2OoAAAC4/oDikSNHSuXKlfUifn/88Yc+1DTwqlWrymeffaZnTqmVhFl7BgAAuEXLzUcffSTLli2TYsWKWctUV9TYsWP1VHC1yN4nn3yS7GnhAAAATmm5UQvr/fXXX4nKVVnCCsX+/v5y9+5du1QQAADAoeGmbt26evuFxxfSU6+7desm9erV0+eHDx/WqwkDAAC4fLiZNWuW3gU8ODjYuuP2Sy+9pMvUe4oaWKwW+wMAAHD5MTdqsLBaxE9tXKkGEislS5bUx+OtOwAAAG61iF9gYKA+AAAA3D7cXLp0Sb7//ns97Ts2NtbmvfHjx9urbgAAAI4PNxEREXpncLVQn+qaKlu2rJw/f17v7q32mAIAAHCrAcUDBw6U9957T8+IUtstqDVvIiMj9e7gLVu2dEwtAQAAHBVujh8/Lu3atdOvvby85OHDh3p21LBhw2TMmDHJvR0AAIBzw02WLFms42z8/PzkzJkz1vdu3rxp39oBAAA4esxNtWrVZOfOnVKqVClp1KiR9OvXT3dRfffdd/o9AAAAtwo3ajbUvXv39OuhQ4fq14sXL5YSJUowUwoAALhXuImLi9PTwMuXL2/topo+fbqj6gYAAODYMTeenp7SoEEDiYqKSv5XAgAAcMUBxWpdm7NnzzqmNgAAAKkdbv73v//pdW5Wr14tV65ckejoaJsDAADArQYUqxlSilql2MPDw1quVihW52pcDgAAgNuEmy1btjimJgAAAM4IN2qbBQAAAGPG3Cg7duyQt99+W6pXry6XL1/WZV999ZVe3A8AAMCtwo3aKLNhw4aSKVMmOXDggMTExOjyO3fuyMiRIx1RRwAAAMfOllIL93355ZeSPn16a3loaKgOOwAAAG4Vbk6cOCG1atVKVO7j4yO3b9+2V70AAABSZ0Cxr6+vnD59WgICAmzK1XibokWLpqwWAOBgAQN+EHd0fnRjZ1cBMD/cdOnSRXr16iWzZ8/W69r8/vvvsnv3br2w36BBgxxTSwDAM0krIS4tPKe7PqMrhPJkh5sBAwZIfHy81K9fXx48eKC7qLy9vXW4+c9//uOYWgIAADgq3KjWmg8//FDef/993T117949KV26tGTNmjW5twIAAHD+gOIFCxboFpsMGTLoUFOlShWCDQAAcN9w06dPH8mbN6+89dZbsmbNGvaSAgAA7h1u1E7gixYt0t1TrVq1Ej8/P+nevbvs2rXLMTUEAABwZLjx8vKS1157TRYuXCjXr1+XCRMmyPnz56Vu3bpSrFix5N4OAADAuQOKH5c5c2a9FUNUVJRcuHBBjh8/br+aAQAApNbGmWpAsWq5adSokeTPn18mTpwoLVq0kKNHj6bkdgAAAM5ruXnzzTdl9erVutVGjblRC/eFhITYr0YAAACpGW48PT1lyZIlujtKvX7ckSNHpGzZss9THwAAgNQNN6o76nF3796Vb775RmbOnCn79+9najgAAHC/MTfK9u3bJTw8XE8FHzt2rNSrV0/27Nlj39oBAAA4suXm6tWrMnfuXJk1a5ZER0frMTcxMTGyYsUKvVoxAACA27TcNGnSREqWLCmHDh3Ss6PUbuCTJ092bO0AAAAc1XKzdu1a6dmzp3Tr1k1KlCiR3K8DAADgWi03O3fu1IOHg4ODpWrVqjJlyhS5efOmY2sHAADgqHBTrVo1+fLLL/XeUl27dtX7S/n7+0t8fLxs3LhRBx8AAAC3my2VJUsW6dixo27JOXz4sPTr109Gjx6tdwpv2rSpY2oJAADg6Kngihpg/Mknn8ilS5f0WjcAAABuHW4SqJWKmzdvLt9//709bgcAAODccAMAAOAqCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMIpLhJupU6dKQECAZMyYUapWrSp79+594rVz584VDw8Pm0N9DgAAwCXCzeLFi6Vv374yZMgQOXDggFSoUEEaNmwo169ff+JnsmfPLleuXLEeFy5cSNU6AwAA1+X0cDN+/Hjp0qWLdOjQQUqXLi3Tp0+XzJkzy+zZs5/4GdVa4+vraz3y5cv3xGtjYmIkOjra5gAAAOZyariJjY2V/fv3S1hY2P+vULp0+nz37t1P/Ny9e/ekcOHCUrBgQWnWrJkcPXr0ideOGjVKfHx8rIf6DAAAMJdTw83NmzclLi4uUcuLOr969WqSnylZsqRu1Vm5cqUsWLBA4uPjpXr16nLp0qUkrx84cKDcuXPHekRGRjrkWQAAgGvwEjcTEhKijwQq2JQqVUq++OILGT58eKLrvb299QEAANIGp7bc5M6dWzw9PeXatWs25epcjaV5FunTp5eKFSvK6dOnHVRLAADgTpwabjJkyCDBwcESERFhLVPdTOr88daZp1HdWocPHxY/Pz8H1hQAALgLp3dLqWng4eHh8tJLL0mVKlVk4sSJcv/+fT17SmnXrp3kz59fDwxWhg0bJtWqVZPixYvL7du35dNPP9VTwTt37uzkJwEAAK7A6eGmdevWcuPGDRk8eLAeRBwUFCTr1q2zDjK+ePGinkGVICoqSk8dV9fmzJlTt/zs2rVLTyMHAABwerhRevTooY+kbN261eZ8woQJ+gAAAHDJRfwAAADsiXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBSXCDdTp06VgIAAyZgxo1StWlX27t371Ou//fZbCQwM1NeXK1dO1qxZk2p1BQAArs3p4Wbx4sXSt29fGTJkiBw4cEAqVKggDRs2lOvXryd5/a5du6RNmzbSqVMnOXjwoDRv3lwfR44cSfW6AwAA1+P0cDN+/Hjp0qWLdOjQQUqXLi3Tp0+XzJkzy+zZs5O8/rPPPpNXXnlF3n//fSlVqpQMHz5cKlWqJFOmTEn1ugMAANfj5cwvHhsbK/v375eBAwday9KlSydhYWGye/fuJD+jylVLz+NUS8+KFSuSvD4mJkYfCe7cuaN/jY6OFkeIj3kg7ii5/z/SwnO66zOmlefk92zSeE7Xlhb+bDrqZ2zCPS0Wi2uHm5s3b0pcXJzky5fPplyd//bbb0l+5urVq0ler8qTMmrUKBk6dGii8oIFCz5X3U3jM1HSBJ7THGnhGRWe0yw85/O7e/eu+Pj4uG64SQ2qVejxlp74+Hi5deuWvPDCC+Lh4SHuQiVWFcgiIyMle/bsYiqe0xxp4RkVntMsPKfrUi02Ktj4+/v/47VODTe5c+cWT09PuXbtmk25Ovf19U3yM6o8Odd7e3vr43E5cuQQd6V+E7rLb8TnwXOaIy08o8JzmoXndE3/1GLjEgOKM2TIIMHBwRIREWHTsqLOQ0JCkvyMKn/8emXjxo1PvB4AAKQtTu+WUl1G4eHh8tJLL0mVKlVk4sSJcv/+fT17SmnXrp3kz59fj51RevXqJbVr15Zx48ZJ48aNZdGiRbJv3z6ZMWOGk58EAAC4AqeHm9atW8uNGzdk8ODBelBwUFCQrFu3zjpo+OLFi3oGVYLq1avL119/LR999JH897//lRIlSuiZUmXLlhWTqa41tRbQ37vYTMNzmiMtPKPCc5qF5zSDh+VZ5lQBAAC4Cacv4gcAAGBPhBsAAGAUwg0AADAK4QYAABiFcOPiPv74Y72S8uNHYGCgmCYgICDRc6qje/fuYpLLly/L22+/rVfIzpQpk5QrV04vZWCy0aNH6+9l7969xSRqeYrKlStLtmzZJG/evNK8eXM5ceKEmGjq1Kn6z2jGjBmlatWqsnfvXjHN9u3bpUmTJnr1W/X79Un7FbqzadOmSfny5a0L96n14dauXSsmIty4gTJlysiVK1esx86dO8U0P//8s80zqoUZlZYtW4opoqKiJDQ0VNKnT6//Qjl27JherylnzpxiKvV9/eKLL/RfqKbZtm2bDt979uzRv18fPXokDRo00Ot0mWTx4sV6PTI1bfjAgQNSoUIFvVnx9evXxSTq+6aeTQU5UxUoUED/Y0NtWK3+UVWvXj1p1qyZHD16VIyjpoLDdQ0ZMsRSoUIFS1rTq1cvS7FixSzx8fEWU3zwwQeWGjVqWNKKu3fvWkqUKGHZuHGjpXbt2vp7arLr16+rZTUs27Zts5ikSpUqlu7du1vP4+LiLP7+/pZRo0ZZTKW+j8uXL7ekBTlz5rTMnDnTYhpabtzAqVOndFNp0aJFpW3btnphQ5PFxsbKggULpGPHjm61uek/+f777/VK3Ko1SnVjVKxYUb788ksxlWrVUKuIh4WFSVpw584d/WuuXLnEpD+L6l/5j38P1aKq6nz37t1OrRueT1xcnF7hX7VYmbh9EeHGxan+7blz5+pVm1V/6blz56RmzZp6Z1RTqb7u27dvS/v27cUkZ8+e1d9Dtar2+vXrpVu3btKzZ0+ZN2+emEb9pam6MBK2TTGd2hNPjSlS3Y4mrZZ+8+ZN/UMwYcX4BOpcrSgP93P48GHJmjWrXpn43XffleXLl0vp0qXFNE7ffgFP9+qrr1pfq3ELKuwULlxYlixZIp06dRITzZo1Sz/3s2xr724/AFXLzciRI/W5ark5cuSITJ8+Xe+vZorIyEi9B5wah6IGoKYFqpVKfS9NHA8Hs5QsWVJ++eUX3dK4dOlS/XePGj9mWsCh5cbN5MiRQ1588UU5ffq0mOjChQuyadMm6dy5s5jGz88v0V8gpUqVMq6bUXVjqMGmlSpVEi8vL32ovzwnTZqkX6uWAJP06NFDVq9eLVu2bNEDNk2SO3du8fT0lGvXrtmUq3NfX1+n1QsplyFDBilevLgEBwfrllU1iPqzzz4T0xBu3My9e/fkzJkz+geliebMmaPHo6ixGqZRXRZ/nyp88uRJ3RJnkvr16+umb/Wvw4RDtVip8WLqtfphaQI17lQFG9Wsv3nzZilSpIiY+INQ/RCMiIiwaYFU5yaO00iL4uPjJSYmRkxDt5SLe++99/TaC+oH4O+//66nY6ofDm3atBET/5CpcKOaSdW/8E3Tp08fvau96pZq1aqVXitkxowZ+jCJWvfl7+NOsmTJotf2MWk8iuqK+vrrr2XlypX6mRPGoPj4+Og1jEyhpoGrP5MqoFapUkUmTpyoB6F26NBBTPuH4+Mt4mp8owrjaoB4oUKFxAQDBw7UXf7qedS4TfX7d+vWrXoMoHGcPV0LT9e6dWuLn5+fJUOGDJb8+fPr89OnT1tMtH79ej0F88SJExZTrVq1ylK2bFmLt7e3JTAw0DJjxgxLWmDiVHD1ezWpY86cORbTTJ482VKoUCH995CaGr5nzx6LabZs2ZLk9zM8PNxiio4dO1oKFy6sv4958uSx1K9f37JhwwaLiTzUf5wdsAAAAOyFMTcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwDSjICAAL19AACzEW4AuJT27duLh4eHjB492qZ8xYoVuhwA/gnhBoDLyZgxo4wZM0aioqKcXRUAbohwA8DlhIWFia+vr4waNeqJ1yxbtkzKlCkj3t7eurtp3LhxNu9fv35dmjRponfoLlKkiCxcuDDRPW7fvi2dO3eWPHnySPbs2aVevXry66+/OuSZAKQewg0Al+Pp6SkjR46UyZMny6VLlxK9v3//fmnVqpW8+eabcvjwYfn4449l0KBBMnfuXJvurcjISNmyZYssXbpUPv/8cx14HteyZUtdtnbtWn3PSpUqSf369eXWrVup8pwAHMPLQfcFgOfSokULCQoKkiFDhsisWbNs3hs/frwOISrQKC+++KIcO3ZMPv30Ux1qTp48qQPL3r17pXLlyvoadY9SpUpZ77Fz5079vgo3qvVHGTt2rB7bo8LQO++8k6rPC8B+aLkB4LLUuJt58+bJ8ePHbcrVeWhoqE2ZOj916pTExcXp9728vCQ4ONj6fmBgoOTIkcN6rrqf7t27Jy+88IJkzZrVepw7d07OnDmTCk8HwFFouQHgsmrVqiUNGzaUgQMH6hYZe1LBxs/PT7Zu3ZrovcdDEAD3Q7gB4NLUlHDVPVWyZElrmepe+vHHH22uU+eqe0qN11GtNH/99ZceR5PQLXXixAk9gDiBGl9z9epV3cKjBiQDMAfdUgBcWrly5aRt27YyadIka1m/fv0kIiJChg8frsfXqK6rKVOmyHvvvaffV0HolVdeka5du8pPP/2kQ46aFaVmTj0+IyskJESaN28uGzZskPPnz8uuXbvkww8/lH379jnlWQHYB+EGgMsbNmyYxMfH27S6LFmyRBYtWiRly5aVwYMH62se77qaM2eO+Pv7S+3ateX111/XA4Tz5s1rfV8tCLhmzRrd9dWhQwfd6qNmX124cEHy5cuX6s8IwH48LBaLxY73AwAAcCpabgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAAAgJvk/MlJp6ztwrw0AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = tadpole.simulator.show_average_queues(sort=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the average queue can be converted in an average waiting time (using Little's Law for each node queue)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:49.547754Z",
     "start_time": "2024-07-09T20:48:49.357202Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:55.411499Z",
     "iopub.status.busy": "2025-09-28T06:59:55.411499Z",
     "iopub.status.idle": "2025-09-28T06:59:55.660829Z",
     "shell.execute_reply": "2025-09-28T06:59:55.660829Z",
     "shell.execute_reply.started": "2025-09-28T06:59:55.411499Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = tadpole.simulator.show_average_queues(sort=True, as_time=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Nonjective"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Consider the following tadpole:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:49.557637Z",
     "start_time": "2024-07-09T20:48:49.550766Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:55.661836Z",
     "iopub.status.busy": "2025-09-28T06:59:55.661836Z",
     "iopub.status.idle": "2025-09-28T06:59:55.666430Z",
     "shell.execute_reply": "2025-09-28T06:59:55.666430Z",
     "shell.execute_reply.started": "2025-09-28T06:59:55.661836Z"
    }
   },
   "outputs": [],
   "source": [
    "tadpole = sm.Tadpole(rates=\"uniform\", m=4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is bipartite and does not verify the stability condition NCond (even bipartite NCond), so all solution break the conservation law."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Simulation fails:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:49.816986Z",
     "start_time": "2024-07-09T20:48:49.560652Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:55.668953Z",
     "iopub.status.busy": "2025-09-28T06:59:55.668953Z",
     "iopub.status.idle": "2025-09-28T06:59:55.923822Z",
     "shell.execute_reply": "2025-09-28T06:59:55.923822Z",
     "shell.execute_reply.started": "2025-09-28T06:59:55.668953Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tadpole.run(\"fcfm\", n_steps=10000000, max_queue=100000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:49.831125Z",
     "start_time": "2024-07-09T20:48:49.820996Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:55.925830Z",
     "iopub.status.busy": "2025-09-28T06:59:55.924832Z",
     "iopub.status.idle": "2025-09-28T06:59:55.931048Z",
     "shell.execute_reply": "2025-09-28T06:59:55.931048Z",
     "shell.execute_reply.started": "2025-09-28T06:59:55.925830Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-83a906cc-e4ee-4f7b-a7f3-01c739819a45\">\n",
       "<div id=\"83a906cc-e4ee-4f7b-a7f3-01c739819a45\"></div>\n",
       "<a href=\"#\" id=\"fit-83a906cc-e4ee-4f7b-a7f3-01c739819a45\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-83a906cc-e4ee-4f7b-a7f3-01c739819a45 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#83a906cc-e4ee-4f7b-a7f3-01c739819a45 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"1\", \"title\": \"0\", \"color\": \"red\"}, {\"id\": 1, \"label\": \"1\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"1\", \"title\": \"2\", \"color\": \"red\"}, {\"id\": 3, \"label\": \"1\", \"title\": \"3\"}, {\"id\": 4, \"label\": \"1\", \"title\": \"4\", \"color\": \"red\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"0.5\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 3)\", \"label\": \"0.163\", \"color\": \"blue\", \"from\": 0, \"to\": 3}, {\"title\": \"2: (1, 2)\", \"label\": \"0.502\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (2, 3)\", \"label\": \"0.164\", \"color\": \"blue\", \"from\": 2, \"to\": 3}, {\"title\": \"4: (3, 4)\", \"label\": \"0.669\", \"color\": \"blue\", \"from\": 3, \"to\": 4}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('83a906cc-e4ee-4f7b-a7f3-01c739819a45');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-83a906cc-e4ee-4f7b-a7f3-01c739819a45').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tadpole.show_flow()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Nodes 0, 2, and 4 are in limbo."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:50.037341Z",
     "start_time": "2024-07-09T20:48:49.833135Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:55.932057Z",
     "iopub.status.busy": "2025-09-28T06:59:55.932057Z",
     "iopub.status.idle": "2025-09-28T06:59:56.080396Z",
     "shell.execute_reply": "2025-09-28T06:59:56.079891Z",
     "shell.execute_reply.started": "2025-09-28T06:59:55.932057Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = tadpole.simulator.show_average_queues()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's change the arrival rates to have bipartite NCond (which is not non-bipartite NCond)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:50.047295Z",
     "start_time": "2024-07-09T20:48:50.040359Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:56.081404Z",
     "iopub.status.busy": "2025-09-28T06:59:56.081404Z",
     "iopub.status.idle": "2025-09-28T06:59:56.085485Z",
     "shell.execute_reply": "2025-09-28T06:59:56.085485Z",
     "shell.execute_reply.started": "2025-09-28T06:59:56.081404Z"
    }
   },
   "outputs": [],
   "source": [
    "tadpole.rates = [1, 1, 1, 2, 1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:50.427550Z",
     "start_time": "2024-07-09T20:48:50.050340Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:56.087496Z",
     "iopub.status.busy": "2025-09-28T06:59:56.086492Z",
     "iopub.status.idle": "2025-09-28T06:59:56.243162Z",
     "shell.execute_reply": "2025-09-28T06:59:56.243162Z",
     "shell.execute_reply.started": "2025-09-28T06:59:56.087496Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tadpole.run(\"fcfm\", n_steps=1000000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that it works! FCFM seems to stabilizes even if NCond is not met."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:50.455612Z",
     "start_time": "2024-07-09T20:48:50.429019Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:56.245170Z",
     "iopub.status.busy": "2025-09-28T06:59:56.244171Z",
     "iopub.status.idle": "2025-09-28T06:59:56.249477Z",
     "shell.execute_reply": "2025-09-28T06:59:56.249477Z",
     "shell.execute_reply.started": "2025-09-28T06:59:56.245170Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-a76affb0-fa73-4a63-9ca6-9aeab50e24db\">\n",
       "<div id=\"a76affb0-fa73-4a63-9ca6-9aeab50e24db\"></div>\n",
       "<a href=\"#\" id=\"fit-a76affb0-fa73-4a63-9ca6-9aeab50e24db\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-a76affb0-fa73-4a63-9ca6-9aeab50e24db {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#a76affb0-fa73-4a63-9ca6-9aeab50e24db {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"1\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"1\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"1\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"2\", \"title\": \"3\"}, {\"id\": 4, \"label\": \"1\", \"title\": \"4\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"0.499\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 3)\", \"label\": \"0.501\", \"color\": \"blue\", \"from\": 0, \"to\": 3}, {\"title\": \"2: (1, 2)\", \"label\": \"0.498\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (2, 3)\", \"label\": \"0.498\", \"color\": \"blue\", \"from\": 2, \"to\": 3}, {\"title\": \"4: (3, 4)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 3, \"to\": 4}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('a76affb0-fa73-4a63-9ca6-9aeab50e24db');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-a76affb0-fa73-4a63-9ca6-9aeab50e24db').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tadpole.show_flow()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:51.108614Z",
     "start_time": "2024-07-09T20:48:50.457623Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:56.254484Z",
     "iopub.status.busy": "2025-09-28T06:59:56.253483Z",
     "iopub.status.idle": "2025-09-28T06:59:56.575295Z",
     "shell.execute_reply": "2025-09-28T06:59:56.575295Z",
     "shell.execute_reply.started": "2025-09-28T06:59:56.254484Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = tadpole.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Hum, the queues are quite high. Maybe we didn't wait long enough?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:53.641294Z",
     "start_time": "2024-07-09T20:48:51.112625Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:56.576303Z",
     "iopub.status.busy": "2025-09-28T06:59:56.576303Z",
     "iopub.status.idle": "2025-09-28T06:59:58.918965Z",
     "shell.execute_reply": "2025-09-28T06:59:58.918965Z",
     "shell.execute_reply.started": "2025-09-28T06:59:56.576303Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tadpole.run(\"fcfm\", n_steps=10000000, seed=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:54.284794Z",
     "start_time": "2024-07-09T20:48:53.643363Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:58.919970Z",
     "iopub.status.busy": "2025-09-28T06:59:58.919970Z",
     "iopub.status.idle": "2025-09-28T06:59:59.322715Z",
     "shell.execute_reply": "2025-09-28T06:59:59.322715Z",
     "shell.execute_reply.started": "2025-09-28T06:59:58.919970Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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NkTNrtB3IO3Bulu46ikaL4si+WGG+EkdL2yO0rC1CbKENrrFqLCiKzIcuVYuefdJx/ZUDEBHmv4FRYxSbTe2Cy8uHNS8X1rw8uVlyc+vO5cGam9vibjhBzMckg6K6wMgZNNXfmGEiCigMhFQMhFyEgZCL1ZYDZ3c2DI7KTje4RFE0OIEuWKO5CqerOyO0Mh2h1sgG19g0VhRG5MGSZEZG7yTccvVQJEe2YARdABAF39b8gnrBkijsVoMmWcck92LG89KWP6jBUDdtgCNAEtMHJDaYSsAxnQALvol8GwMhFQMhF2Eg5AHlOee602RwtAOoPfchbleAvZp22KgMRG5tb4RUdkLYefVFNfpKnI0+AaWNgpHD+uKmflf5ZOG1J4m5mOQIOEewVBcoOfd126VkmATR3SaDJcecS/W64s510SVBFxFYGTsif8FASMVAyEUYCHmB3Q4UHTuXMcreCWTvdk4KKQKjg5q22Gnri+za/tBV9oThvK60/LAzKEkqRa+BnXDf6LEIETN+U6MUs1kNmOoFR9YCdZRc/ekExFQCch6mFtKEhcFQv1vO2T1Xv6sumQETkYsxEFIxEHIRBkI+NJN2wWE1KBJda2IvhvNbqmBXtDhm7YZttsHIqekPQ01Ggx8tDslFQWIpegzojHvHjES4iUHR5RB/KsSklA2Dprrj87JNYsqBlhKzfMugKDkZhuR6o+PE5JXiWEwrkCiWfOGyKEQtwUBIxUDIRRgI+TC7TQ2OHIGR2OfsRlmNAT/ah+Fw7XBoK3tBp5zrIis1FaAosRT9h/XElFHDoNc3vlQIuWDupXoZJoszUKo7V1cILpdOaeHM3sb27WHskAFThw4wZmTA2KEjTB07yECKiAIjEFq3bh1efPFFbNu2DdnZ2ViyZIlzJfrGcIkND02oSD5KqwOSeqhbv7vUc3YbogoO44azO3HD6S2oOPYZVhck4VDNlTBW9EZ0bQKiTyeg5JNavPTlp6hIKcWIMYNx3ZC+HDXlQiI4MYoto2F2rrGASQZJuSJQUkfFWcSxHCmXB4ssCM+XczDVHjwot/LzHsOQlgZj504wdeoMU6eOMHYSx52g4xcXIr9TWVmJvn374oEHHsDkyZM98pzMCDWDGaEAUJ4LnPwRZYfWYcX+Ahyr6IeQ8j7Q2891kZWH5MPSphoTJlyFQb27eLW51JCoSzKfPg3ziRMwZ4otU261mZmwFRY2+XOii83YqaMaIIlAqbPYd5ZTBRAFMn/OCNUnvpwyI0TkCpHJQO/bENX7Ntw+WQFy9yJv15f4ZtsJnC3tivCyPoisSQSOAZv+nYXvQrZD29GOybeMROf2/jO7daDSGAyyO0xsGN3wPmtxMczHjqH22HHUHjsK81FxfMyZURJb1YaNDX5GTAEgAqKQbl1h6tEDIT16wNSxo3weooAlch6Wlq2b6FKGMBHRwJcxEKLgIn4hU/ogKaUPpo0XedgCHF//PlZuPoD80u6IKu+lBkX7geX7D+GjyO8R3TsCd908Cgmxsd5uPZ1HHxsL/aBBCBs0qMF5sZiu+fhx1IrA6OhRZ5BkOXsWtoICVIlt47kASQZbXbrA1KM7Qrr3QEjPHjB16wZdRMNFg4n8lgiCnk/z/PP+8Sxg9O06PgZCFNzCE9Dx2kfxy2vF8LIT2Ln6bfy47zSKy/ojtrw7YsvbABuADzZuQUH8GXQc3BZ3XX8NTBx55tN0kZEI7dtXbvXZKiphzjyO2sNHUHPoIGr3H0DNwYOyaLtm/3651Z+G0tSlM0IHDETYwAFyb2iTxloyogDDGqFmsEYoCIl1wbL3YMPy17Ej04bK8isRWd2mweSNRSnFGD6yD264ui+0HNbt18SfQMvp06g5cEAWY9fUBUdiXbjz6VNSEDZgAEIHDpBZKJFF4rB+8jWN1s34YdeYxkM1QgyEmsFAKMhZqlG96zNs/H4RdpR0h618eINZrUtNJahJt2DihCsxuFe6V5tKriXWfavesQNV27ajavs21OzbD1itDa7RxccjfNgwhF95JcKvHA5DaqrX2kvkwGJpFQMhF2EgRJL4NTn0DSpX/x0rck3YXzsa4aX9YbCfW3crNyIPpq6inmgEOqY0XAKE/J+9uhrVu/egevs2VG3dhqodO6BUNfyGbezQAeHDhyP8qisRNmSI7KIj8jR/DoQqKipw9OhRedy/f3/MnTsXo0ePRlxcHNq1a3fB9QyEPICBEDUgfl0OLwfWvoCz2YfwlTIC2ZXXIK68G7RQu0hqdTXIistHxoCuuPfaAYiP4CKlgbo0SfWuXajcsAGVP61H9Z496vIwDjodQvv0kZkikTEKveIKaIysLSP38+dAaM2aNTLwOd/UqVPxzjvvXHCegZAHMBCiRolfm6PfAaufg3J2B7bokrHaOgFKydWIrI13XpYXmofCVBvGjb4SE/q3g4kzWQcsW1kZqjZvRuX69ahcv0HOe3T+2mvhgwc7AyNj584svCa38OdA6FIxEGqhW2+9VUaZY8eOxSeffHJJP8tAiC5K/Poc/Ar4/m9A/kFUQYuvQsdgb/kYJBR2cS7vYdGacSzqDIydknHH2OEYnBEHrZYfgoFMDNV3ZIvE3lZc3OB+sX6aCIrCRFfa8CvlOmtErsBASMVAqB4RBJWXl+Pdd99lIETuW/ds14fAqr8CFepoo6Npo7DUMh61R+MRU53ovLQopACHY0tw5dXDMHVET4QZOYtFoFPsdtQeOuTMFlVt3QqltrbBNWKZkMjRYxB53XUI6d2L2SK6bAyEVAyEGgmG/v3vfzMQIveqrQB+egVY/y/AWi1PWfvcie/ib8bGn/IQcybFWWBdq6vGwdjjiO/TFr+94XokRYZ6ufHkKfbaWjkizZEtqtm3T80u1ls/LfLaaxF53bUI7d+fQ/TpkjAQurTPb60vrDQ7ceJEpKWpE5UtXbr0gmvE4qcZGRnyRQ4dOhSbN2/2SluJmmWKAMY8BTy8Fehzhzyl3/MRrl//S/xlTBXu/ms/GEYUozy0GCZbKPoW9EKb1ZF48W/v4Ff/eQ3bTp729isgD9CaTHLYfdLvZqPDJ4vRZf1PSHvpJUSOHw9NaKjsVit6912cvOdeHLnmGmQ/+6wMmJTzhu8TUevpfX2l2UWLFmH27NmYN2+eDIJefvlljB8/HocOHUJSktqn3q9fP1gb+QOxYsUKGWBditraWrnVjyiJLll0W+C2N4ChvwK+fQw4sw1Y/kck7Xgfv5j4Cux3DsKaDduxaflxROUnIKO0G7AHWHF4A15POoNhIwdg6lUjWEcUREuFRN90o9zEMP3Kn35C2YoVqFi9Brb8ApR8+JHcdNHRiBg7VmaKRMG1lqPQiFrNp7rGGps8SQQ/gwcPlt1agt1uR3p6Oh5++GE88cQTLu8a+8tf/oJnn332gvPsGqPLJoZU73wfWPkMUF0k/k8HhswAxj4NmCJxJqsAiz/9EfYjRphsamrXprHiVHQmjF0i8NCkm5Aez3mJgnWIfuXGjWpQ9N0q2EpKnPdpIyIQMWqUDIoiRoyANpRdq6Ri15gf1widHwiZzWaEhYXJ4KV+cCTmEygpKcHnn3/u8kCosYyQCLwYCFGrVRUBK/6sBkVCVFvg1nlAhxHyprnWis+/3YjDP2UjpvzcEPwKQymykwpx5TUDcfvV/ZglClKiW0xM5Fi+YgXKV66ENT/feZ8mJEQGQ6LQOmL0KC4WG+QYCF1aIOT1rrGLKSgogM1mQ3JycoPz4vbBgwdb/Djjxo3DLjHxWWUl2rZti8WLF2P48OGNXmsymeRG5HJhccCk/wB9bge+elQu8op3JwJXPwqM+iOMJiN+NulqYBKw/9ApfPr5Twg7FYkISzS6nIlG/gfFeObzjxDRNQX33DoEbZN8e0Vnci2NXo/wYUPllvynp+RkjuUrVsrAyHLmjAyOxKYxGGS3mQyKxoyW3W5EBP8MhFzlu+++u+SfEQXaYhOBGJFLdRoN/OonYNkTwI73gB//CRxfA9z+NhDXQV7Ss1s79Hy8HcxmC97/+jtkbs5DUnEbpFQmAzsUfLLzJ5TGKhhwZSdcNy4DppCg+FWmOmIUWVj//nJLevwx1Ozf7wyKzJmZqFi7Vm5iduuwIYMRdd11iBw3Ts5dRERB2jV2uTh8ntxq/+fAF78BakqA0Fg1GBKBUiPWH9qOT79ah/isVETXnPtAs2jsCOkYhWsndkLHbnGcfybI1R49KmuKRGBUWz9zrtEgbNhQxEy+DZHXjoM2wLtMghm7xvxs+PzFGI1GDBw4EKtWrXKeE8XS4nZTXVuuIrJBPXv2lIXaRG7T8xbgofVAm4FAdTHw/mRgw38azCnjcGW3Afi/3z2KyX/uiyOj12JH2iqUmQphULSwHavAspd34eXH1+G7L4/CXM1h1sHK1LkzEn/9a3RcugSdVixH0mO/R0jfK+T/U1UbNuLsY4/hyIiRyP7LX+T6aD70XZiC3Jw5c+RnbmRkpBwVLhIgYoR4wGeEmltpVgyfFxmg+fPnY8iQIXL4/McffyxrhM6vHXIHZoTIIyw1wFe/BXZ9oN7uexdw08uAoelvc8dLj2Pejjewc88BdM8dhk6F/aFXDPI+q1ZBfI84jJvYCSkZ/P+WAPPpMyhduhSln30m5ylyMHXpjOjJtyH65onQx58r0if/5a8Zoeuvvx533nmnDIbElDh//OMfsXfvXuzfvx/h4eGBO2qsJSvNitFeL774InJycuScQa+++qocVu8JDITIY8Sv4qZ5wPKnAMUGpA0A7lwIRF18LqzT5afxyeFPsHTvt0jL7oKeOVchtubclwQl1oBBY9phwIg2MLKWKOiJ5T7E4rAln34ma4qcS33o9YgYdY3sOosYOUIWZ5N/8tdA6Hz5+fkyM7R27VqMHDkSARsI+ar6xdKHDx9mIESeIwqnF09Tu8oikoE73gPaNR/4W2wWfJ/1Pd7fuwi5x4vQM/cqdCzq61z41apTEN89DmNu6IDUjtGsJSLYyspQ9s23KPnsM9Ts3u08r0tMQPTNNyNm8mSYOnXyahvp0jUWHIiP+uq6ZX88KVQfetl/a0RvUZcuXbBnzx707t270WsYCHkAM0LkFUWZwEf3AHn7AK0BuPH/gIFTW/zjJ8tO4qMDi/H1/uVol9NDBkX1C6ztUXr0HdkWg0e1RWgEZycmoPbIEZR8tgSln38OW5GY+FMV2q8fYu+6E5ETJnAmaz/RWHBQZanC0A8805NS36a7NyHMEIZLJeqBb775Zjkw6scff2zyOgZCHsBAiLy6gOvSh4ADX6i3B88Arp8D6NQ6oJYw28xYdWoV/rfnIxSdKEP3vGHoWNgXekX9QLNrFCR2i8WV17VHevc4aDhZY9BTLBY59F4ERXIIft0UIrr4eMROuQMxU+6EIVld3oh8UyAEQg899BC+/fZbGQSJ+f+awkDIAxgIkVeJX88fXgK+f07cANpfDdzxLhCecMkPlVmaiUUHF+PLA8vQNrcreuQNR2JluvN+fZQeV03shB7DU6HT+/SAUvIQMXt1yaefovjDj2DNzVVP6vWIuu5axN57H0L792MXqw/y966xWbNmyelxxKLs4jVcDAMhN2KNEPmUQ98Cn84AzOVAVBvg9gVAu2GX9VC1tlqsPLkS7+39CLmnC2SWqGv+IJhs6rc2W5gdV97YFf1HtYVOx4CI1CxR+apVKHr/fVRv3eY8H9KzJ2LvvRdRN94ALWfk9xn+WiytKIpcR1TMJygGUon6oOYwEPIAZoTIZ+QfAj66Gyg8Cmh0wJg/AVc9CmgvP1gRWaKPD3yBrw4tR3p2R/Q7MxbhFnWB1+rwWoz8WR8MGdZ0WpqCT82BAzIgKvvqa+eIM11MDCKvH4+o6ycgbPAgaHQ6bzczqPlrIPTrX/8aH3zwgcwGdevWzXlefAaHNrGoMAMhD2AgRD6lthz4ajaw52P1dudxwK3zL6urrD7xZ2BH7j688tMHMB+uwMAz4xBqVRfuzI8vxqT7r0S/bqmueAUUIKzFxSj55BMUf/AhrNnZzvO6hAS5pEfUDRMQOmCAXA6EPMtfAyFNE11ob7/9NqZNm9bofQyEPICBEPkc8Ssr1ij75jHAWgNEpgK3vQVkXOWShy+pLsWLa/+H4o1l6JEzFFpoYdGakZWeixlTJ6B7Ggtl6RzFakXlxk0oW/Ytyld+B3tpqfM+fVKSzBRF33wLQnv38mo7g4m/BkKXg4GQG7FGiHxe7n51vqGCQ2pX2cRXgAH3uezha6w1+M+KxShebUFqeYY8V2YsQnaPHDx+9x1oG82AiBpSzGZUbtiAsm+XyZoie3m58z6RHYqbOhWR48ay68zNGAipGAi5CDNC5NPMlcCXjwB7Fqu3R/xerR1y4UgeMQR//sdfoWqDFhFm9XcgK/oQSvrm4NHxd6F7fHeXPRcFDrsIin78CWVffSUXgYVVXf/O0KYN4qZNQ8xtk6ENu/Rh1dQ8BkIqBkIuwkCIfJ74FV79HLDuxXPrlN38b0Dn2iUSqqtq8dqbK6A/YJKzVds0NuxL+QHlvc/iwcF3YVTbUdBp+U2fLmTJzUPxBx+g5KOPYKvrOtNFRyP2nnsQe+890MfFebuJAYWBkIqBkIswECK/sf09NTsk1inrfRtw6+suD4aEnNPleP+NDQjNVR+7Wl+OnzKWoLJ9Dqb2vg93dLsDBjEbNtF57NXVcuHXwgVvw5KVJc9pTCaZHYqbPh3G9HPzWtHlYyCkYiDkIgyEyK8c+EqtG7JbgJ6TgNvevKSZqC/Fjs3ZWPXhfoRWq91wJ2P2YV3Hj5GSFI+nhz+NAckD3PK85P8Umw3lK1ei8I03UbNvn3pSq0Xk+OsQd9/9nKixlRgIqRgItRKLpcmvJ19cdN+5YEhMvuimLiub1Y4vPjqIrJ+yoVM0MGtrsD5jCQ4nbcbMATPx8z4/h1bD4dPUOPHxU7VpMwrfeguVP/zgPG9s3x7Rk25B9C23wJCW5tU2+iMGQioGQi7CjBD5pcPL1UVbRTA0cDpw0z9dWkB9vvwzFfh03i7Y8tUJ9jJjd2Ntp48wKKM/5lw9BzEhMW57bgoMNQcPoujd/6Fs2TIo1XVLQWi1iBg9GnH33oOwYcOYJWohBkIqBkIuwkCI/Na+JcDi6eoaZWI02dg/u/Xp7HYF6748hj3LTkGrAJWGUqzuvBCWtFL8c9Rc9Ens49bnp8Bgr6xE2YqVKF2yBFWbNzvPGzt3Qtw99yD65puhDQ/3aht9HQMhFQMhF2EgRH5t6wLgq9+qx+OfB4bPdPtT5p4swyf/2QmUqcOl96Ssxdb23+B3w2fjzm538ls9tVjtsWMoXviBLLC2V1XJc9qICMTcfjvi7r+P3WZNYCCkYiDkIgyEyO+tE6vX/1U9njQP6HeX25/SYrbhi3f3IWdbgbxdFJqNVV3+hyG9+uKZK59BuIHf6KnlbOXlKF2yFMULF8J88qR6Uq+Xy3jEP/AAQrpzLqv6GAhd2uc3qxiJAt2I3wHDZ6nHn89Ui6ndzGDU4bYZV+Dq6T1QqwfiqlMxec/vcGZ9De766i4cLT7q9jZQ4NBFRsoMUMdvv0H66/MRNnSonKCx7IsvkTnpVpx68OeoXL9eFl+T/3rttddwxRVXyKBFbMOHD8e337r/7xUDoSaIEWM9e/bE4MGDvd0UotYRXVHX/hXoe7c6x5AYXn/iJ488dd+hqZj+/4ajMsEgJ2G88uQk9No4AQ9+9it8ffxrj7SBAodYwDVi5Ei0f/cdZHzyicwIiYLqyp9+wqkHHkTm5NtQ+uVXUCwWbzeVLkPbtm3xwgsvYNu2bdi6dSvGjBmDW265BfscUyy4CbvGmsGuMQoYNivw8X3AoW8AUxQw7Wsg9QqPPLXdbsdrb+2CZVsRDNCgWl+BZd3fwC+uVSdgJLpc5tOnUfTOuyj59FPnaDN9Wirip06VtUTBWFgdSF1jcXFxePHFF/Hggw82ej9rhDyAgRAFFEs18P5twMmfgPBE4IHlQHwnjz39h98dw4ElmUi2aWHVmPFd1//h3gm3YEr3KR5rAwUma3GxXMKj6L33YSsqkue0UVGIvfNOxE2fBn1sLIJFY8GB+Kh3TkvgQZrQ0MsaICHm8Fu8eDGmTp2KHTt2yB6axjAQ8gAGQhRwakqBd24CcnYD0enAA8uA6LYee/rV+3LxzfzdyDDroMCOHzM+w62TrmEwRC5hr6lB6dLPUfT2287CahEQJT78MGLvuhMaveuXnfE1jQUHYtTdoQEDPd6Wbtu3XdLiunv27JG1QeI1RERE4IMPPsANN9zQ5PUsliaiSxcSDdz7GRDfBSjNAv53C1Cpju7yhNG9knHf7wfjYLgdGmgx4sTtWLVoD1ae+M5jbaDApQ0JQeydU9Dxm6/R5l+vwtS9O+xlZch97jlk3norqnbs8HYT6SK6deuGnTt3YtOmTXjooYdkRmj//v1wJ2aEmsGMEAWs0tPAgglA6SmgzSBg6peAseXf3FrrVGEl5vzfJvRWezFwPGEn7n5oFAa24Rpl5Np1zUoWL0b+P19WV77XahE3bRoSf/OwDJoCUSB0jTmMGzcOnTp1wvz589EYZoSI6PKJ7rB7PwXE8hdntgKfzQDsNo89fbv4cDz31NXYm66DDTZ0LOiHpa/swOFsDq0n19HodLJOqNPyZXLtMtjtKFqwQI4wq965E8FCBCOii8rTm6aVE6iKgRa1terSPe7CQIgomCV2Be76ENAZgYNfAcuf8ujTx4UbMfexq3G0ZwhqtbVIKeuAj1/agtN5OR5tBwU+XUwM0v7+Atr+97/QJSbAfPw4Ttx9D/Jeegl2N3/QUss8+eSTWLduHU6cOCFrhcTtNWvW4J577oE7MRAiCnbtrwRunaceb3oN2PyGR58+1KjD3JlXIX9IBCr15YitTMb/XvgBeXnFHm0HBYfIMaPR6csvEXXzRJkdKnzzLWTedptc9JW8Ky8vD/fff7+sExo7diy2bNmC5cuX49prr3Xr87JG6CITKopNDOE7fPgwa4Qo8P34T+C7v4i+BOD+z4EOIzz69OJP0d8/+wGaNYWIsESj0lSOe383EmntgmfYM3lW+fffI/uZZ2DLL4DGaETSY48h9t57/H49vECaR6g5rBFyo5kzZ8pKdRGREgWFqx4FrphSN/v0VKDklEefXnz4PHHbSJgmRKIkJB/htZFY9PdNyDpYV01N5GKRY8ag4xdfIGL0aChmsxxZdvqhX8NaNw8RBQcGQkSkEt+CJ74CpPYDqgqBj+4GzOqK35706A3jEHqTCdkRx2G0GbH0le04tIk1Q+QeYqLFtv/9D5L/9CeZFapYswaZt0xCxY+eWYaGvI+BEBGdYwgF7lwIhCUAOXuAL2aJPiuPN2P2uElQrlVwLG4HtIoW3729H3vWnPZ4Oyg4iGxk3L33IGPxxzB27gRrfj6yfv5z5M6ZIzNFFNgYCBHRhcPqp7wHaPXA3k+Bn17xSjOeGz8DFcOrsCt1tby97qPDDIbIrUK6dUOHxYsRe/fd8nbRu//DyWnTZWBEgYuBEBE1PpJswt/VY1FAnfmDV5ox/6Y/IbdbKXakfecMhnavZjBE7qMNDUXK03+Ww+y1kZGo3r4dmbfdjupdu7zdNHITBkJE1LhBDwL97xXjuYClvwZqyrzSZfHJ7XNxtF02tqetlOd+WMRgiDwzzL6D6Crr1AnWvDycvO9+lH37rbebRW7AQIiImi6evv7vQGyGugzH17/zSr2QQa/HF1New5604w2CoV3fZ3m8LRRcjBkZyFj0ESLGjJG1Qmd+OxuFby2QUz1Q4GAgRERNM0UAt85X5xba8zGw9S2vNCMqNAQfTpqHzUn7sb2NGgz9+PER7PzOs0P8KfjoIiLQ9l+vIvZekR0F8l58Ebl//Ztcw4wCAwMhIrq4dsOAa59Vj799Aji91SvN6JQQi7nXvIKNSZuxrc1yee6nT45ixwoGQ+T+9cqSn/ojkp74g8yUFn/wAU7Pehj2ykpvN41cIOADoaysLIwaNQo9e/bEFVdcgcWLF3u7SUT+Z/gsoMfNgN0CfDwVqPLOhHPX9sjAPR3+gs2pa7C1rVqvsf6zo9i27IRX2kPBQ9SrxU+bhjYvvwyNyYSK1atx4r77YMnN83bTqJUCPhDS6/V4+eWX5SzRK1aswKOPPopKRvFEl14vdMt/gLhOQNlp4LNfyHWavOGJcVejp2EmtrRdgc3pX8tzG5cex+7VrBki94safx3av/sOdHFxqN1/ACfuuAPV+/Z5u1kB6YUXXpABqPjcdqeAD4RSU1PRr18/eZySkoKEhAQUcfp0oksXEgXc8T9AHwIcXQls/K9XmqHVarDgzrsRU3k3ttcLhkTNUObuAq+0iYJLaL9+yPh4kTqiLDcXJ++5F2XffOPtZgWULVu2YP78+bInx928HgitW7cOEydORFpamoz8li5desE1YvHTjIwMuaDa0KFDsXnz5st6rm3btslFVNPT013QcqIglNIbuH6Oerz6OaDYO11SESY9Ft45C5riG7G9zQocSFovB7Stemc/KoprvdImCi7Gtm2R8dGHCB85AkpNDc7M/h3y/vkyFC9lSgNJRUUF7rnnHrzxxhuIjY0N/EBIdFP17dtXBjuNWbRoEWbPno1nnnkG27dvl9eOHz8eeXnn+mVFxqd3794XbGfPnnVeI7JA999/P15//XWPvC6igDVwOpAxArBUAV/91itD6oX28eF47abfw1J0DX7osBh54SdRW2XF9+8d4PBm8ghdZCTSX3sNcQ8+IG8Xzp+P0zNnwVZRAV8jficstTaPb8pl/C6KRc9vvPFGjBs3Dp6gh5dNmDBBbk2ZO3cuZsyYgenTp8vb8+bNw9dff40FCxbgiSeekOd27tx50eeora3FpEmT5PVXXnlls9eKzaGszPOTyBH5xeKs/x0OHPse2P0x0HeKV5pyVecE/G7Qb/F/OyrwfZf3cfvux5G1vwgH1mej51VpXmkTBeGIsscek8tzZP/pz2oR9Z13Iv0//4GxfXv4CqvZjtcfWevx5/3FK9fAYNK1+PqPPvpIJj1E15ineD0jdDFms1l2Z9WPCrVarby9YcOGFj2GiEanTZuGMWPG4L777mv2+jlz5iA6Otq5sRuNqBHxnYBrHlePlz0BVHqvNufnIzpidMIvUaS1O+uF1n96FFVlXCyTPCf65pvR/v33oE9KgvnoMWT+7A5UrFvn7Wb53SjvRx55BAsXLpSlMJ6iUXwohyxqhJYsWSKzN4Lo2mrTpg3Wr1+P4cOHO697/PHHsXbtWmzatKnZx/zxxx8xcuTIBgVX7733Hvr06dPijJAIhkpLSxEVFdXKV0gUQGwWYP41QN4+4IopwGTvdTtXma2Y8PobKI6Yh8m7f4fEqrboMjgZ1z3Yy2ttouAkhtOf/s3DqNm1W2ZPkx57DHHTp8nPN0+pqalBZmYmOnTo4AwoxEe9yAp5mt6obfFrFzXCt956K3S6cxkkUdcrfl4kQcRnc/37mnqt9T+/RUKjuc9vr3eNudvVV18N+yUUr5lMJrmJmiWxiX8EImqEzgDc/C/gzbHA7kXAFXcAnT3Tp3++MKMe7955PyZ+8h3WdfoIt+6ZjSNbctFtWAra94r3SpsoOBmSk9D+vffk7NMlixcj7x//gPnUSaT86U/Q6L33kSuCiUvpovKGsWPHYs+ePQ3OibKY7t274w9/+MMFQVBQdI2Joe7ihefm5jY4L26LofDuJIq1xNxDnuynJPI7bQcCwx5Sj5c9Cdi998UhIyEcfx3xJPLCT2NPqloLsfaDQ7Jgk8iTtEYjUv7fs0j6gzoTdclHi5D10K99sojal0RGRl4w6Ck8PBzx8fHy2F18OhAyGo0YOHAgVq1a5Twnsjvidv2uMiLyolFPAiExQMFhYO9nXm3KpF6DMCzxemxJ/wblhjKUF9Zgy9eZXm0TBfFM1NOnoc2rr0ATEoLKH36Q8w1ZsrO93TTytUBIzBcgRn05Rn6Jvj5xfOqUun6QGDov5hJ49913ceDAATz00ENyyL1jFJm7iG4xsSzH4MGD3fo8RAEx0eKVs9TjtX/3alZIeH7076HRa/Bjx4/k7R0rT6Eom7PJk3dEXXst2r/3P+gSElB76BBO3DGFM1FfgjVr1sjVIQI6ENq6dSv69+8vN0fgI46ffvppeXvKlCl46aWX5G0xX5AIkpYtW4bk5GS3totdY0SXYOivgNBYoPAIcEhdA8xbksKScG+vu3Eybh8yo44CCvD5gr1ebRMFt9A+fdBh0UcwdekMa34+Tt53P8q/X+3tZpGvBEJiQVRRzX7+9s477zivmTVrFk6ePCkrxsVIMTG7NBH5EFMkMGCqerx5vrdbg6k9pyJEH4L1nRbCBjuqsiqxezcXxyTvMbRpg/YffIDwK6+EUlWF07Nmoeh/73m7WeQLgZCvYtcY0SUa/CCg0QKZ64C8A15tSnxoPKZ0nYLykCJkxh+S5xZ9sB9WG5c/IC/PRD1/HmJ+drtctDj3+eeR87fnoHB0slcxEGoCu8aILlFMO6DbDerxlje93RpM6z0NRq0Ru9LUxTCTSmx4Y+VRbzeLgpzGYEDK//t/SPzdbHm7+P33cea3s6FYrd5uWtBiIERErjNkhroXy26YvVugnBCagHHtxyE/4hQqYoqhhwY/rDiBo3kcwkzeH1GWMGMG2rz8TxkYla9Ygeynn3H5Gnk+NF+y27jiNTIQagK7xoguQ8ZIIK4jUFsG7P3U263B7V1vl/tdieoUHD1qtHhs8U7Y7IH/AUG+L+r669Hmn3PF2lEo/ewz5L3wd5d8sBsMBrmvqqpCoKuqe42O1+z3S2z4opZO0U1EdX56BVj5NJDWH/jFGq82Rfx5m7h0Is4UZ+Pn2/8OWLX4IKIW027uhhkjO3q1bUQOJZ9+huynnpLH8TN+jsTZs1u9JEd2djZKSkqQlJSEsLAwjy7x4anfbREE5eXlISYmBqmpqRdcwyU2iMg7+t0DfP834OwO4OxOIK2f15oi/vjf1uU2zN02F7mpR5Cc1Q19zDq8tOIQru+dgvS4MK+1jcgh5rbJsNfWIPf//RWFb7wJe1U1kp/6IzTay++0cay+IAKFQBYTE9PqlSYYCBGRa4UnAD0mql1j294G0l7xanNu7nQzXt3xKjZELcMkdENPqx6rLBbMW3sMz93a+OLLRJ4Wd/fdci/WKCteuBCK2SyX6bjcTI74OZElERkhi8WCQGQwGFyy/hgDoSZw0VWiVhg4XQ2E9nwCXPc3dZ4hLw6lH50+GittK6FE1UJXZkI3sw6Lt57Gw2O6ICW64YrVRN4MhnSRUTj7hz/IBVt1cXFI+u2jrXpMESi4a7HSQMFi6SZw+DxRK2RcDcR3AcwV6sr0XnZdxnWABjiUvEneHq4Lgdlml1khIl8SPfEmpPzlGXlcOH8+ypYt83aTAh4DISJyPZHOFxMsCpvfEJWNXm3OyDYjYdKZsDXye3k7psKOcDvw4eZTKKyo9WrbiM4Xe8cdiP+5+vuT/cenUHuMAbs7MRAiIvfodzdgCAfyD6qzTXtRmCEMV7e5GhWmYihJ6nDba8LCUWu1Y/G2015tG1FjEh99FGGDB8NeVYWsX/wS1oICbzcpYDEQIiL3CIkG+t2lHm9+3dutkZMrCodi1e7ufhqT3C/cdBJ2zitEPkaj16PNKy/D0L4dLGfOIOtXD8FWwclA3YGBUBM4oSKRCwyum2n60DdAySmvNuWattfAoDVgW5g6t5E1pxrJBj2yiqqx9ki+V9tG1Bh9XBzavf46dDExqNm7F6funwprYaG3mxVwGAg1gcXSRC6Q1B3ocA2g2L2+/likMRJXpl0pF2JFUrUsW5qcHC/ve3/DSa+2jagpxvbtkf7Wm9DFxqJm/36cmHInao8c8XazAgoDISJyr6G/VPfb/weYq3yie+xo3A65b1fXnO8P5SGrKPCXIyD/FNqrF9ovXAhDejosp0/jxF13o+KHH7zdrIDBQIiI3Kvr9UBMe6C6GNj0mte7x7QaLTaFrpS3izPLMKp9vMwOiRFkRL7K1LEDMj5ehLBBg2CvqEDWQ79G5UZ1OghqHQZCROReWh0w5k/q8Q9zgfIcrzUlNiQWfRP7yu4xXZJFBkATYtU1iBZtyUKtlROoku/Sx8ai3YK3EHn99YDVitOPPALziRPebpbfYyBERO7X+3agzSB1gsXv/+rVpoxKHyX3p5MOyL0puwbJUSYUVpqxfF+uV9tG1ByN0Yi0v7+A0L59YS8txZnZv5PLcdDlYyDUBI4aI3IhsXjk9XPU4x0L1QVZvWRUWzUQ+sH4tdyfPVKKn/VOk8df7jrrtXYRtZTWZEKbV1+FLjpaFlDnv/qqt5vk1xgINYGjxohcLH0I0OcOAArwzeNem226Q3QHpEemo8iUA1OyAsWuoL9OnVNo7aF8lNcE5gKVFFgMyUlIfe5v8rjwrQWo2uG9Lxf+joEQEXnOtc+qs02f3gzs/tgrTRCrcouiaSE/9bjcVxwtQ6fEcLn+2HcH2D1G/iFy3DhET5okv1SIpTjsNTXebpJfYiBERJ4TlQaM/L16vPJpoLbcq3VCP5q+kfszh0pwY7dkefz1bu8VcxNdquQnn4A+MRHmzEwU/Pvf3m6OX2IgRESeNXwmENsBqMgB1r3olSYMSB6ASEMkTmmPIjxFJ7vH+mnV7rF1h/NRxu4x8hOiTijl2WflceGCt1G9e7e3m+R3GAgRkWfpTcD1L6jHG/4LFBz1eBPEUhtiEVahrM0Zua/KLEfnpAjZPbaK3WPkRyLHjEbUxImA3Y6zf/wj7LW13m6SX2EgRESe1+16oMt1gN0CLP+jV5pwTbpaJ7Q5dJXcnz5QjAndk+TxCg6jJz+T/McnoUtIgPnoMY4iu0QMhIjIO8bPATRa4MhyIHe/x59eZIR0Gh12WTcjLM4Am9WO/oZQed+aQ/mosXByRfKvyRZT//KMPC56awHK16iLC1PzGAgRkXckdAZ6TFSPvbD0RrQpGv2T+gMawNq+WJ6zna5Em5hQVFts+HZvtsfbRNTaUWSx99wjj8/+4QlYzqjdvnRxDISawAkViTxg2K/V/a5FQGWB10aP7Y3cIPcn9xTi7kHp8nj+2uNQvDTXEdHlSvrD4wjp00fOOn36kUdhq6j0dpN8HgOhJnBCRSIPSB8KpPUHbLXAtre9Fgj9YFmO0CgDaqusGB0ThTCjDgdzyrH2cL7H20TUGlqjEW3++U911um9e5H1i18wGGoGAyEi8h6N5lxWaPObgNWzaya1j2qPjKgMWGCBobM6Gd3ZvYW4a0g7Z1aIyN8Y27ZB+ptvQhsVhert25E1YwZsFRXebpbPYiBERN7VcxIQkaLOK7RviceffmTbkXJ/MnGP3GfuzMfUYe2h12qw4XghdmWVeLxNRK0V2qc32i1YoAZDO3Yg6+ciGGJmqDEMhIjIu/RGYMjP1eMf/g+weXYyw8Epah3gJmU1wqONMNfYYDtbjZv7qguxzl93zKPtIXKV0N691GAoOhrVO3fi7O9/D8XG0ZDnYyBERN43eAYQFg8UHAK2vOXxWaY10OBE+QmkXREpzx3blodfXNNRHn+7NwcnCvhNmvw4GHp9PjQmEyrWrEH+K5xj6HwMhIjI+0JjgDF/Uo/XPO/REWRRxih0i+smjyvbqeuMZe7KR5f4CIzulijWs8R7G096rD1Erhbaty9Sn39OHhe++Saq96jdwKRiIEREvmHAVCClD1BTCix7Qq6o7SlyPiEAh407nd1jWQeKMGWwOpSeS26Qv4u+8UZE3XijXIYj+89PQ7Favd0kn8FAiIh8g1YH3DgX0OiAPYuBLW967Kn7JPSR+31F+9BxgLrMxtHtebi6SyIMOg1OFFbheD5H3VAALMMRHY3agwdR/PHH3m6Oz2AgRES+I30IcK26kjaWPQmc+NEjT9s7obfcHyg8gPZ9Y+XxiT0FCDPoMLRDvLz9/cE8j7SFyF308fFIeOQ38rjg1X/BVlbm7Sb5hIAPhEpKSjBo0CD069cPvXv3xhtvvOHtJhHRxQyfBfS8RV2Q9YM7gaJMj8wnFGGIQI2tBpXxBTCF6VFbaUXu8VKM6pYor+HkihQIYu+4A8ZOnWArKUHBvPnebo5PCPhAKDIyEuvWrcPOnTuxadMmPP/88ygsLPR2s4joYpMsTpoHpA8DzOXAkl8CNvfWM2g1WvRK6CWP9xfvQ7teahboxJ5CZyC0KbMI1WYOPSb/ptHrkfyHx+Vx0XvvwXzqFIJdwAdCOp0OYWFh8ri2tlauHcT1g4h8nDEMuO0NwBQFZG0C1r/isTqhvQV7kdHHEQgVoFNihFyI1Wy1Y+Nxfoki/xc+YgTCr7oKsFiQ9+JLCHZeD4REtmbixIlIS0uDRqPB0qVLG10ANSMjAyEhIRg6dCg2b958yd1jffv2Rdu2bfHYY48hISHBha+AiNwiph0w4R/q8bqXgKoitz5d73i1TmhPwR6ZEdJoNSg6W4nywhqM7KpmhdYcYp0Q+T/xWSsWZ4VWi/KVK1G5cSOCmdcDocrKShmkiGCnMYsWLcLs2bPxzDPPYPv27fLa8ePHIy/v3B8kR/3P+dvZs2fl/TExMdi1axcyMzPxwQcfIDeXQ2GJ/ELfO9Uh9ZYqYPPrHimYPlZyDHajBSkdo+TtU/sKMaa7OpJs9SHWCVFgCOnaFTFT7pDHZ2b/DuasLAQrrwdCEyZMwN/+9jfceuutjd4/d+5czJgxA9OnT0fPnj0xb9482dW1YMEC5zWi/mfv3r0XbCLLVF9ycrIMpH744Ycm2yO6z8rKyhpsROTFeqGrf6seb5oHmN03w3NyeDKSQpNgU2w4WHQQ7Xur3WMn9xVheKd4aDXAqaIq5Japi7MS+bvkxx6DqWcP2IqKkPXLX8FWWopg5PVA6GLMZjO2bduGcePGOc9ptVp5e8OGDS16DJH9KS8vl8elpaWyK65bN3UW2cbMmTMH0dHRzi09XZ1QjYi8pMctQGwHoLoY2P6eW5+qZ3xPuReBkKNg+vTBIoRqteieomaItp8sdmsbiDxFGxaG9Ndegz45Gebjx2UwZK8MvuVkfDoQKigogM1mk5mc+sTtnBx1KvzmnDx5EiNGjJCZILF/+OGH0aePWhTZmCeffFIGTI4tK4jThUQ+QacHrlLnPsH6f7l1UdYusV3k/nDxYSS0jUBYtBFWsx1nj5RgQPsYed82BkIUQAzJyUh/fb66Sv3OnTj1i18GXTDk04GQKwwZMkR2nYkaod27d+OXv/zlRa83mUyIiorCe++9h2HDhmHs2LEeaysRNaHv3UB4ElB2GtjziduepmtsV7k/UnJEFpS2r8sKndxfiIHt1YkWt51iIESBJaRbN7R7601oIyNRvW0bTv/mEShmM4KFTwdCYnSXGP5+fnGzuJ2SkuLW5545cyb279+PLVu2uPV5iKgFDCHA8F+rxz+9LNdLcmdG6GjxUdgVO9r2UIOfs4dL0D9dPd53pkwOpScKJKF9+qDdm29AExqKyp9+wtknnoBiC455s3w6EDIajRg4cCBWrVrlPGe32+Xt4cOHe7VtRORhgx5Q5xXKPwgcXuaWp2gX1Q4GrQFV1iqcqTiDNl3U4KcgqxwpYUbEhBlgttlxMIeDKCgwV6lv++qrgMGAsm++xelZD8MSBKOsvR4IVVRUyK4rsQliiLs4PlU326UYOi+WxXj33Xdx4MABPPTQQ3LIvRhF5k5iOL8YpTZ48GC3Pg8RtVBINDD4QfV49fNuyQqJIKhTTCd5fKT4CMJjTIhODIWYgzXnWCn6tlXrhHZllbj8uYl8QcSIq5H2whxAr0fF6tXIvGUSao8eRSDzeiC0detW9O/fX26OwEccP/300/L2lClT8NJLL8nbYr4gESQtW7bsggJqV2PXGJEPGv6wmhXK3QOc/MktT9ElposzEBLSuqrBjyiY7puuHu9gIEQBLPrGG9Hh009h6tFDrkl26sGfw1I3L18g8nogNGrUKOeyF/W3d955x3nNrFmz5OgvMcePWC9MzC5NREEoPB7oebN6vP/CWehdWTAtRo4JaV3OBUL90qPlMTNCFOhCunVFuwVvwdi5E6y5uTjz29lQLO4bsRnUgZCvYtcYkY/qVTf56v7P3bIYq6Nr7Hjp8QaBUN7JcvRMjJTHx/IrUVYTmB8KRA762Fikz5uvjibbtQv5/258BQh/x0CoCewaI/JRHa4BQmOByny3dI9lRGfI/amyU7DZbYiKD0VkXAgUuwJzbjXS40Ll/XtOB+csvBRcjG3bIPWv/08eF775JmqPq18QAgkDISLyLzoD0GOierz3U5c/fFp4GoxaI8x2M7Irs+W5NnV1Qqf2FjkLpneye4yCRNT11yNi1CjAZkPe/81FoGEg1AR2jRH5sN63n+ses7p24jedVieH0Qsnyk7Ifcf+6urzR7flom9btU5oxykGQhQ8kh77vVz7r2LVqoAbRcZAqAnsGiPyYRlXAxEpQE0JcHSl6x8+Su0eO1GqBkLtesbDGKpHZakZXXVGeW7j8UJOrEhBw9SpEyLHqSstFL79NgIJAyEi8j9aHdCnLiu060O31Qk5MkI6g9aZFVJOVCIhwoSKWivXHaOgEjd1qtyXL1sOewAtwcFAiIj8U7971P2hb4HKApc+dLtItWssq/zcostdBiXJ/bEd+RjaoW7dsZNFLn1eIl8WOmAAdIkJclHWqk2bEZSB0IIFC+RcPsGANUJEPi65J5DWH7BbgZ0LXfrQKeHqWoY5lTnOc227xSIkwoCaCgv6G0PkuU2ZDIQoeGi0WkSOUbvHyr/7DkEZCM2YMQOlpeeGjKalpeHECTV1HGhYI0TkBwbVLbmxcZ5Li6brB0JigldBq9Oi8wA1K5RQZHMGQlVm189lROSrIkaPkvvKDRsQlIGQ4w+CQ3l5uVwElYjIK664Qy2aLj/r0pmmHYGQWHy13FLuPN9lsLq0T/7BErSLCZXF0uuPFrrseYl8XdjAgXL0mOXUKVhy8xAIWCNERP5LbwIGTnX5nEKh+lBEm6Iv6B5L7RQtF2I1V1sxIUKdZXrN4cD4MCBqCV1kJEw9usvj6m1bEXSBkEajkVtTt4mIvLbkxtFVQLXr5vZJCbuwTkij1aDvmHR5HH2gAh0tWuzmDNMUZMIGDpL7qq3bEJRdY127dkVcXJzcKioq5ErxjtuOLRCwWJrITyT1ABJ7AHYLcHiZWwumhSvGtkWHvglQbAomVRphPVkJq40lAhRk3WMQgVBgZIT0l3Lx2wE2iVJzxdJiKysrQ3S0miInIh/VbQKQfwA4+h3Q9063BkI6nRbjf9Eb3729H0e35mFCuR4b1mZhxJj2LnleIl8XNkgNhGqPHIGtpAS6GHXZmaAIhKbWTaZERORTOo8Dfpyrdo/ZbeqEiy4KhHKrci+4TwRD1z7QCz8cK0RqsQ27PzmGzu2ikdrZvz8QiFpCn5AAY0YGzCdOoGr7DkSOGY2gK5YWXWRbt27FJ598gk8//RTbt2+/YEQZEZHHpA8BTFFAdRFwdqdLHjIxVJ1JuqC68ckatVoNNEPicNhgA+zA0pd34PDmhtkjokAVNriuTigACqYvORBavXo1OnXqhKFDh+KOO+7Az372M1lH06VLF6xbt849rSQiam5F+nbD1OOz213ykAmhCRcNhIRuqVH4JsyMiggt7FYFK9/ej+M7813y/ES+LDSA6oQuKRA6evQobrrpJmRkZOCzzz7DgQMH5KSDixcvRtu2bXHDDTfg+PHj7mstEVFTUq5Q99m7PBYIdUwMh0UDfJtkR8+rUgEFWLPwIMw1nGSRAlvYIHUgUc2+/bBXVSFoAqGXX34Zw4YNw/fff49bbrkF3bp1Q/fu3TF58mSZKRJZon/+85/uay0RUVNS6wKhnD0uDYSKa4phESPSGtEpMULuTxVXY+jPOiM6MRTV5Rbs//GsS9pA5KsMbdKgT0kBrFZU73LNlw+/CITWrFmDRx99tNH7xHxC4j4REAUCDp8n8jMpfdR93gHA1njgciliTDHQaXRQoMhgqDFJkSZEmPSwK8CZ0hr0u1ZdrPXA+uxWPz+RL9NoNAgbFBjzCV1SIHTq1Cn06VP3x6YRvXv3xsmTJxEIuNYYkZ+JyVALpm21QMHhVj+cTqtDXIg6L1p+dX6THwaie0w4ll8pV6gXRdRFZytRkuff3QVEzQnt30/uq/e6JgvrF4GQmEAxLCysyfvFfVV+3ldIRH5KqwUSu6nHLgiE6nePFVY3vZ5YxwQ1EDpeUAFTmAGpndV5x7L2c2V6CmwhPXrKfe3+AwiaeYQEkSXJyWl8iGhBQdNFhUREbhfXCTi9BSg67rGCaUed0PH8SrlP6xKDM4dLkH2sFH1GtXVJO4h8UUi3rnIBVmt+vtz0ieqUEwEfCI0dO7bROYNEilic59pjROQ1cR3VfaFrA6H8qqaHxHesC4SO5VfIfWondVLF3BNlLmkDka/ShofD2KEDzMePo+bAAUQEQyCUmZnpvpYQEbVWfCd1X3TMo0PoHRkh8WUwro16u7ygGlaLDXpD62e5JvJVIT16qIHQ/gOIGDkSAR8ItW/PtXSIyA8yQi7uGiusabpGqENCuOgdQGm1BcVVFsRGGWEK06O2yoqS3GoktFUzRkSByNStG/D116g95povHz5fLH3kyBHcddddciHS85WWluLuu+/mhIpE5P1AqCIXqC33SNdYiEGH1KgQeXyisFKWB8SmqINKirPVuiGiQGXq2EHuRVYoKAKhF198Eenp6YiKirrgPrFCu7hPXENE5BWhMUBYvMuyQolhF19vzKF9vNoddqJADXxiU9XbRTkMhCiwGTuqXz5qMzP9ds3RSwqE1q5dK9cWa4pYe0zMOh0IOKEikZ+KVb+hoqj1NY0JIee6xi72Rz4jQc0AnShUpw+JTVEDoeJsTidCgc2Yng7o9VCqqmDNzUVQTKiYlJTU5P0JCQnIyspCIOCEikR+Kq4uECpufSAUH6pml6qt1ai0NJ3dyajLCJ0sVK+Jq8sIFTMjRAFOYzCowZAfd49dUiAkur+OXaQgSizK2li3GRGRP2aEwgxhCDeEN9s9dkHXWF2NUEluFew2e6vbQeQX3WPHMwM/EBo5ciT+9a9/NXn/q6++ihEjRriiXURErSuYdkFGqKVD6B1dY5l1gVBkXAj0Ri3sNgWl+dUuaQeRrzL5ecH0JQVCTz75JL799lvcfvvt2Lx5sxwpJrZNmzbhtttuw/Lly+U1RERe7xpzQUZIiA+Jbz4jFKdmhMpqrCipMkOjFSPHHN1jrBOiwGbs4CiYPh748wj1798fn3zyCR544AEsWbKkwX3x8fH4+OOPMWDAAFe3kYjo0rvGSk8D1lpAb3L7yLFQow7JUSbkltXKgul+YUbZPZZ/qryuTsg/Z9wluqSM0LEgCISEm266Sa4wv2zZMlkTJEZSdO3aFdddd91FF2QlIvKIiCTAGAmYy4H8Q0DqFW7vGnPUCYlASBRM90uPOTeEnnMJUZDUCFnz8mCrqIAuIiJwu8bE0HgxpNxiseDWW2/FY489hscffxyTJk2S53r16oUffvjBfa0lImqOmOa53VD1+MQPrptUsbrpSRWFdnHqF8GsIrUrLI5D6ClI6KKioEtUf0/MfrgU1yUFQi+//DJmzJjR5ISKv/zlLzF37lxXto+I6NJ1HKXu93/uumU2qpteZkMQXWNCXnmt3Mem1s0unVMJxe6fE80RtZTJUSd09FhgB0K7du3C9ddf3+T9onts27ZtrmgXEdHl63MHoNEBWZuAklMe6RpLilSX2civC4SiE0Oh1WlgNdtRXlzTqjYQ+bqQXr3kvnLDegR0IJSbmwuDwdDk/Xq9Hvn5F08fe0tVVZVcNPb3v/+9t5tCRO4WmQyk9VOPT/zkka6xxMiGGSGtTouYZEdWiN1jFNgix46R+4o1a6FYLAjYQKhNmzbYu3dvk/fv3r0bqamp8EXPPfcchg0b5u1mEJGntL9K3Z/80SWBUHFNMWx2W5PXJTkDoXPZHy6+SsEitH9/6OLiYC8rQ9XWrQjYQOiGG27An//8Z9TUXJjmra6uxjPPPCNHlfmaI0eO4ODBg5gwYYK3m0JEnpJxtUsyQlFGtSZSgYIKS0WzXWN5ZbXOdckcI8cYCFGg0+h0iBih/s5VbQngQOhPf/oTioqK5HD5f/zjH/j888/l9ve//x3dunWT9z311FOX1IB169Zh4sSJSEtLg0ajwdKlSxtdADUjIwMhISEYOnSonMzxUojusDlz5lzSzxCRn2s3DNDq1RmmCy+/gNOoMyJEpwY55WJIfhOS6oqla612ObGiEBUfKvcVxWp3GVEgC+2ndkdX79yJgJ1HKDk5GevXr8dDDz0kZ5B2fOsRAcz48eNlwCKuuRSVlZXo27evnKRx8uTJF9y/aNEizJ49G/PmzZNBkBi5Jp7r0KFDzgVg+/XrB6tV/cNT34oVK+SiqSJwE5toe3Nqa2vl5lBWVnZJr4eIfERINJAxAji+Gjj0DXDlw5f9UJHGSNRU16DM3PTfgxCDDpEhepTXWJFfXoPoUAPCoo3yvspS82U/N5G/CO3bV+6rd++GYrdDo72kXIv/TKgoCo6/+eYbFBcXOydU7NKlC2JjYy+rAaK76mJdVmI4vhiyP336dHlbBERff/01FixYgCeeeEKe23mR6HPjxo346KOPsHjxYlRUVMj5jsTw/6effrrR60Xm6Nlnn72s10JEPibjKjUQytnT6u4xUSx9sYyQo05IBEKie6xzUiTC6wKhqjJmhCjwmbp2hSY0FPaKCrnumKlzZ/iDyw7XROAzePBgDBky5LKDoOaYzWY5HH/cuHHOc1qtVt7esGFDix5DBDZZWVk4ceIEXnrpJRlUNRUECSLT5VhDTWziZ4nITyX2UPd5B1r1MCIjJDQfCIU0GDkWVtddVl1ugY2r0FOA0+j1CL1Cncm9Yu1a+AufzlsVFBTAZrNd0N0mbufk5LjlOU0mk8wYvffee3KU2dixY93yPETkAUl1gVDBYeAiI76aE2VSC6Yv1jVWfwh9QYUaCIVGGKDVauRxdRm7xyjwRdX18BS9vxC2Cv8YJODTgZCrTZs2TWaFWmLmzJnYv3+/rDEiIj8VmwHoQwBrDVB8wu0ZofgItSussFINesQq9KFRju4xBkIU+KJvuRmGtm1hzc5G7nPPOWuJfZlPB0IJCQnQ6XRyIsf6xO2UlBSvtYuI/IRWByR0UY/zD172wziG0JfWll70uoQINSNUWJcREhx1QiyYpmCgDQ1F6t/+KupYULpkCYreegu+zqcDIaPRiIEDB2LVqlXOc3a7Xd4ePny4W59bjIATC8yKOigiCu46oRZnhMLrMkIV54KesGg1OKoqZcE0BYfwYcOQ/NQf5XHB/Ndhr/TtLjKvB0JiJJcY9eUY+ZWZmSmPT51S1wcSQ+ffeOMNvPvuuzhw4IAcui+G3DtGkbkLu8aIAkRSd5dlhJqrEYqvywgV1HWNCRxCT8Eo9q67ZBeZvbwclZs2IaCGz7va1q1bMXr0aOdtEfgIU6dOxTvvvIMpU6bI9cvESC9RIC3mDFq2bNklz1dEREGeEXJBINTiGqH6XWOsEaIgpNFqEX7VVShZtAiVGzcicoy6Fpkv8nogNGrUqGaLqWbNmiU3TxJdY2ITo9aIyI8ldlP3BUfUkWOibshNGaGEcDUjVFQvIxQSoS5UXVvpXwtRErligkURCNUePgJf5vWuMV/FrjGiAOGCkWOO4fMtzQhVmW2oMquz3ZvC1ECohoEQBRlTp45ybz52+UvceAIDISIKgpFjXVtVMO0olm4uIxRm1MGk1zYomA4Jr8sIVV24DBBRIDN2VAMha34+bOUX/xLhTQyEmsBRY0QBxBEIFR13a42QWHfROYS+rnvMFK5WIDAjRMFGFxkJfWKiPBZLbvgqBkJNYNcYUQCJaafuS9TRqJebEaq11cqtJd1jBXXLbITUdY2xRoiCkbFTJ7mvPcZAiIjIbwOhcEM4tBpti7JCiXUZIcd6Y46uMXONjeuNUdAxdewg9+bjvlsnxECIiIInECq9vEWURRAUYYiQx2W1F68TSo1RF17NLq2We2PYucG5ZtYJUZAxZmTIvfnk5X0J8QQGQk1gjRBRAImsW5KnIu+yH6KlQ+hTo0Pl/mxJjdyLRVeNoawTouBkSE+Xe3PW5X0J8QQGQk1gjRBRAAmNU/fVxWKdHreOHEs7LyMkhNQVTHPkGAUbY/v2cm85dcpnF2BlIEREgS+sLhBSbEAzC6e2di6hpMiQBjVCAucSomBlaNtWDKeEvaoKtqIi+CIGQkQU+PQmwKjW+KCqyK1dY9GhatBTXmO5MCPEQIiCjNZohD5F7Zo2160h6msYCBFRcGWFRPeYG+cSigpRA6Gy6nPdYKa6kWM1lewao+BjrKsTEt1jvoiBUBNYLE0UoHVCVYWtqxGqbVlGqNpig9lqbzCXUE0VM0IUfIzt1VGb5qzT8EUMhJrAYmmiAM0ItbJrrNxy8YxQRMi54fKO7jHH7NIslqZgpE9KlntrQT58EQMhIgoOYfEeyQjptBpEmtTAp6zG2nC9MdYIURDSxatfQmyFLJYmIvKBIfRFbq0RktfWdY+VVVvOGzXGjBAFH32c+iXEylFjRES+0DXWyoxQM6PG5LV13WNljq6xutmla1kjREFI78wIXd7vnrsxECKiIOsaK2rVPEItCYTOZYQado1xHiEKRrp4ZoSIiLwvNLZVw+cvJSPkHEJ/frE0u8YoCOli1d89e1kZFIvvfRlgINQEDp8nCjCt7Bpz1AhVmCtgVy6+TEdU3dpijhohZ7F0lQWK3TeXGSByF12U+rsj2Mqa/yLhaQyEmsDh80SBmhEqaVUgpEBBhaXi0jJCdTVCYqklc91IMqJgodHpoI1UM6q2UgZCRETeERKj7msuLxAy6owI0YW0bHbp82qE9AYd9Eb1zy1HjlEw0kVHy72t9PJ+/9yJgRARBVdGyFIFWM8tiOqOuYSizhs1dn73GFHwBkKl8DUMhIgoOMhRXxqXdI+1PCN0LujhCvQUzHR1gZCdgRARkZdotUBojEtGjjW/8GrDmaUbrkDPrjEKPtpo9UsEa4SIiPy4TijcGC73zRVLh9ctsVFZW28FemaEKIjp2DVGROT/cwkZtUa5N9vNF70uzKgGQlVmm/McF16lYKaLVr+EMBAiIvImZ9fY5WWETDqT3JttFw+EIhrJCBlMOrm31J4LjoiCLiNUxkDIb3BCRaIAzgi1Ygh9SwKhMKMa9FSaGQgRCTpnjRADIb/BCRWJArhG6HK7xloYCDkyQjUWO6w2e8NAqF53GVHQjRorYSBEROS3s0s7usZqbRefhyisLugRqixq4KOvyxJZmRGiIKRjsTQRkQ9o5fB5Z7F0Mxkho04LvVads6iqLvBh1xgFM60jECrhzNJERP5fI9TMqDGNRuMcQl9RVzDNQIiCmSE11RkI+drCqwyEiCh4hKjfSlFT6tYaISG8riusqq5g2uDoGmONEAUhXWQk9Ckp8rj26FH4EgZCRBQ86iZERO3FJ0Rs7fB5IcQZCLFrjEgwdeki97VHGAgREXlH3RIZaGaJjKYYtIYWFUvLp9Kpf16tNkXu9QyEKMiZOneWe2aEiIi8xRThsYyQXqcWS1vsdcPn6zJEHD5PCPZA6MgR+BIGQkQUPIx1gZC50q3F0oKhLiNksdYFQiGO4fPqbaJgY+raxSczQuqwhgCXkZGBqKgoaLVaxMbGYvXq1d5uEhF5MyMkurZsFkCndnVdaiDUkq4xRyBktSsNMkI2qx12mx3auvuJgoWpY0e5txUUwFpcDH1s3ShOLwuKQEhYv349IiLq/ggSUXBnhITaciAs7rK6xiwiiGqGwdE1VjeztN50LvCxmO0whTIQouCiDQ+HoU0bWM6cgfnoUeh9ZAkr/iYSUfAQGaC6YAbmisueUPFSMkKWumJpnV4LTd0ki5xdmoK9TqjGh+qEvB4IrVu3DhMnTkRaWpqchGzp0qWNLoAqurdCQkIwdOhQbN68+ZKeQzzuNddcIxdQXbhwoQtbT0TBVDB9KV1jeq22QUZI/B0yGOvOMRCiIK8TMvtQnZDXu8YqKyvRt29fPPDAA5g8efIF9y9atAizZ8/GvHnzZBD08ssvY/z48Th06BCSkpLkNf369YPVem6VZ4cVK1bIAOvHH39EmzZtkJ2djXHjxqFPnz644oorGm1PbW2t3BzKfGwGTCJyQfdYVeHlZYTqAiGLvfmuMaO+YdeYYwi9ucbGQIiClskxcuyw72SEvB4ITZgwQW5NmTt3LmbMmIHp06fL2yIg+vrrr7FgwQI88cQT8tzOnTsv+hwiCBJSU1Nxww03YPv27U0GQnPmzMGzzz7bildERD7N5JhLqMJti642zAipXWMCV6CnYGdIT5d7S14efIXXu8Yuxmw2Y9u2bTKL4yBGfonbGzZsaHHGqbxcnTytoqIC33//PXr16tXk9U8++SRKS0udW1ZWlgteCRH5XMH0ZXSNGepGmV1ajdC5jBBnl6Zgp60btGSv+1z2BV7PCF1MQUEBbDYbkpOTG5wXtw8ePNiix8jNzcWtt94qj8VjieySqBVqislkkhsRBfgyG63ICLVk1Jija8xaPxByrDfGQIiCeM0xwVZRAUVRZO2ct/l0IOQKHTt2xK5duy7550SBtthE8EREAaQ1xdL1Ro0190fc0TVmrtc15lxmg11jFOQZIVgsUGproQkJ8XaTfLtrLCEhATqdTmZ16hO3U+pWsXWXmTNnYv/+/diyZYtbn4eI/Ge9MUextAIFVuXCARot7hqrYSBEwTuXEOq+QPhK95hPB0JGoxEDBw7EqlWrnOfsdru8PXz4cLc+t8gG9ezZ86LdaETkxxmhy1hmw9E11pL1xhwTKtbvGtPXDZ+3mrnMBgUnjVarBkOie6z88tb8C7iuMVHAfLTefAKZmZlyFFhcXBzatWsnh85PnToVgwYNwpAhQ+TweVEA7RhF5s6MkNjE8Pno6Gi3PhcR+UextCMjJH/cVotwQ129UQsmVBT0hroaIQszQhS8tJGRsFdUwF7JQEjaunUrRo8e7bwtAh9BBD/vvPMOpkyZgvz8fDz99NPIycmRcwYtW7bsggJqIiJ3F0trNVrotXpY7dYWZIQu7BrTG+oyQhZmhCh46SIiYPWhrjGvB0KjRo2SRYcXM2vWLLl5EouliQJ8HiGx1thlEAXTLQmE9OetNVa/a8zGrjEKYtq6gmkxcswX+HSNkDexWJooQBlC1b215rJ+3FEn1FwgZGyka0zHrjEiaEPVkWJi1JgvYCBERMFFq06KiBbMBXTRSRXttZeeEWLXGBE0IeqXEXt1NXwBAyEiCi66uooA+8WHv7c2I9RojZBjQkV2jVEQ09bNHaTUXF5W1tUYCDWBw+eJApS2dYGQY1LFlnaNWeuPGnPUCLFrjIKYpi4Qstewa8ynsUaIKEC1smvMMYS+ufXGHF1jZnaNETWREWLXGBGR59XV+MDeuhohSzM/b2gsI+QoluYSGxTENHXF0vZqdo0REXmva8x2eV1jeo3683bF3qKZpevXCOkcM0szI0RBTOsolmZGyLexRogoQLWyRkinVbM6Nrvt8idUZLE0BTGtY/g8M0K+jTVCRAGqlV1jOk1d91aLF13lEhtEjQ6f56gxIiJvFku7NyN0sZmlmRGiYKZ1ZoTYNUZE5MV5hCytqhGyKbaWDZ+3n8sIGULUIMpSw4wQBS+Nc/g8M0JERH43fN7ZNdZMjZG+LhAyW89lf4whdUGU1S43omCk5YSK/oHF0kQBylXF0s1khBobNWasywjJ88wKUZDSGNQvI4rl8r6MuBoDoSawWJooQLVyiQ1n11gLR43V7xrT6rTOkWPmmst7fiJ/p9Grv0OK1Td+BxgIEVFwaW3XWIszQnWjxs7rAnPUCZmZEaIgpWFGiIgoAIbPN5NRcnaN2c8PhNRvwxZmhChY6ZkRIiLyfo2QmBn6vCClJfR1P9/ijFC9eYTq1wkxI0TBSqOvywgxECIi8mIgdJl1Qo6MUEtrhGx2BfZ6dUKOkWOsEaJgpTGya8wvcNQYUYB3jV1m91hLa4QcEyqe3z3mnEuolhkhCu5iaTAQ8m0cNUYU4MXSl1kw7cwItXBCxfO7xwxGrkBPwU3DYmkiIl/pGrNdfo1QC7vGBCuX2SBy4vB5IiJv0moBjfayu8a0dT/b3KKrOq0GmrreMXODQIhdYxTcNI6MEAMhIiL/m0uopcXSDSZVZNcY0TmOGiG7HYrN+78HDISIKPi0Yi6hlg6fFwxarkBP1FRGyFeyQgyEiCh464RsVrdNqCgY9NoLAyFTXdcYM0IUpDT1AyEfKJhmIEREwacVC6+2dPi8oBf1SBw1RtT48HkfCYTqDZ8gIgoSI38PWGuA8ES3Lboqr63rGhOTKjrPsWuMgpxGp1MHLYgaIQZCvj2hothsPlDIRUQuNuyhy/5RR0aouVFj6rWNBUIcNUak0euhmM0Aa4R8FydUJKLWjhqr6xmDTWHXGJGvDqFnIEREdAkuZdSYrm4iIXtjXWMWdo1R8NI4JlX0ga4xBkJERG7LCF3YNaYz1GWEGAhRMDMwI0RE5JcubdTYhYGQIzhS6p0jCtquMTMzQkREfqWli64K2rqusfo1Qo7VPRgIUTDTONcbYyBERORXWrroalOjxrS6urqhenMLEQUbjQ+tQM9AiIjocmaWvoTh8/YGGaG6rrF654iCjaZuHT4xl5C3MRAiIrqceYTsLQ+E6i+66qgRYkaIgpqurmvMB+bqYyBERHQJjFqj3Jtt5pYPn28kI1R/SD1RsNE4J9liIOQRmZmZGD16NHr27Ik+ffqgsrLS200iIj8Vqg+V+2pr9SUMn7/wHIulKajpdD6TEQqKJTamTZuGv/3tbxgxYgSKiopgMpm83SQi8lOhhpYHQrpGRo05i6UZCFEQ02h9p0Yo4AOhffv2wWAwyCBIiIuL83aTiMiPhepaHgjpGwl6nMXSrBGiYKbznYyQ17vG1q1bh4kTJyItLQ0ajQZLly694Bqx+GlGRgZCQkIwdOhQbN68ucWPf+TIEURERMjnGDBgAJ5//nkXvwIiCsausRqxen0L5xGyNjahosKRYxTkK9ALzAhB1uv07dsXDzzwACZPnnzB/YsWLcLs2bMxb948GQS9/PLLGD9+PA4dOoSkpCR5Tb9+/WBtZJruFStWyPM//PADdu7cKa+//vrrMXjwYFx77bUeeX1EFJiBkNlulnMJOUaRXXT4fCMZIUedkKYua0QUlBkhq/czQl4PhCZMmCC3psydOxczZszA9OnT5W0REH399ddYsGABnnjiCXlOBDlNadOmDQYNGoT09HR5+4YbbpDXNxUI1dbWys2hrKzssl8bEQWeEH2I81h0j0UYIy5pZmlHRsgRIF0kjiIKghohm7eb4v2usYsxm83Ytm0bxo0b5zyn1Wrl7Q0bNrToMUT2Jy8vD8XFxbDb7bIrrkePHk1eP2fOHERHRzs3RwBFRCSYdCZooAYzNbaaS15rrH4GiHMJUdDSOWqEvN815tOBUEFBAWw2G5KTkxucF7dzcnJa9Bh6vV7WBY0cORJXXHEFunTpgptuuqnJ65988kmUlpY6t6ysrFa/DiIKHKKW0ZEVqrZUX/oSG/W7xhgHUZDS+FBGyOtdY77Q/VafGFovNlGgLTYRiBERnV8nJLrFqqxVLZxHqIlAiBkhClY6jhprkYSEBOh0OuTm5jY4L26npKS49blnzpyJ/fv3Y8uWLW59HiLy45FjzXSNOXrBGptZWp7nXEIU7KPGbAyELspoNGLgwIFYtWqV85yo8xG3hw8f7tbnFtkgMRO1qDEiIrqc2aV1den/+hkhgeuNUdDT+U6NkNe7xioqKnD06NEGy2GIUV1i4sN27drJofNTp06VI7+GDBkih8+LIfeOUWTuzAiJTYwaE0XTREQOTwx5Qq411j22+0WvcyywXX8eIWfBtF3hPEIUtDSsETpn69atch0wBxH4CCL4eeeddzBlyhTk5+fj6aeflgXSYs6gZcuWXVBATUTkKUNTh7bousbmEWqw8CozQhSsdMwIOY0aNarZb0WzZs2SmyexWJqIWquxeYTkeS68SkFO40MZIZ+uEfImFksTUWvpm8gIOWuEGAhRsNL7zszSDISIiNzEEfA0WiPEjBAFMY1jSnVmhIiIApeuqa4xx7B61ghRsNJpfaZGiIFQEzh8nohaq8liaUdGiKPGKEhpmBHyfawRIqLWOjezdOPnmRGioKXznVFjDISIiNzk3KKr9saHz7NGiIJ9Zmk7M0JERME7fJ4ZIQpWjhohjhrzXawRIqLWOrf6fMPz2roaofprkBEFEw1rhHwfa4SIqLWam1maGSEKWjqOGiMiCp6MUBNdY6wRomClYUaIiCiI5hFqKiPEQIiClY4ZISKiIBo+rzReI8RAiIKURqcudarYrN5uivcXXfVVXHSViForPTYUI7smontqZIPzyRlRMJh0CI0weq1tRL6QEYIPZIQYCF2kWFpsZWVliI6O9nZziMgPXdcrRW7nu+r2Ll5pD5Gv0LBGiIiIiIKWjjVCREREFKQ0zAgRERFR0NLXrTXGmaWJiIgoWDNCCjNCvotLbBAREQX+qDEGQk3gEhtERETuwYwQERERBS1NXY0QWCNEREREwUZjVCcTVSwWbzeFgRARERF5KRCqrYW3MRAiIiIij9IYTXJvN5vhbQyEiIiIyKM0JmaEiIiIKEhpTWpGSGFGiIiIiIKNxhEIMSPkuzihIhERkXuLpVkj5MM4oSIREZF7i6WZESIiIqKgo61XLK0oinfb4tVnJyIioqCtEYIIgrw8qSIDISIiIvJOICTrhBgIERERURAWSwuK2bt1QgyEiIiIyKM0Gg00BoNPFEwzECIiIqKgnUuIgRARERF5LRCy13p3LiEGQkREROS99ca8XCOkR4A7dOgQpkyZ0uD2hx9+iEmTJnm1XURERMGs3ZtvinAIhjZpXm2HRvH2TEYeVFFRgYyMDJw8eRLh4eEt+pmysjJER0ejtLQUUVFRbm8jERERtV5LP7+Dqmvsiy++wNixY1scBBEREVFg83ogtG7dOkycOBFpaWlyON3SpUsbXQBVZHJCQkIwdOhQbN68+bKe6+OPP27QTUZERETBzeuBUGVlJfr27SuDncYsWrQIs2fPxjPPPIPt27fLa8ePH4+8vDznNf369UPv3r0v2M6ePdsgRbZ+/XrccMMNHnldRERE5Pt8qkZIZISWLFnSoJBZZIAGDx6Mf//73/K23W5Heno6Hn74YTzxxBMtfuz33nsPy5cvx/vvv3/R62pra+VWP4ASz8caISIiIv8REDVCZrMZ27Ztw7hx45zntFqtvL1hwwa3dIvNmTNHvnGOTQRBREREFJh8OhAqKCiAzWZDcnJyg/Pidk5OTosfR0SDoq5IdKk158knn5TXO7asrKzLajsRERH5voCfR0gQmZ3c3NwWXWsymeQmapbEJgIxIiIiCkw+nRFKSEiATqe7IIgRt1NSUtz63DNnzsT+/fuxZcsWtz4PEREReY9PB0JGoxEDBw7EqlWrnOdEsbS4PXz4cK+2jYiIiPyf3hdmez569KjzdmZmJnbu3Im4uDi0a9dODp2fOnUqBg0ahCFDhuDll1+WQ+6nT5/u1naxa4yIiCjweX34/Jo1azB69OgLzovg55133pHHYuj8iy++KAukxZxBr776qhxW7wlcYoOIiMj/tPTz2+uBkK9jIEREROR/AmIeIW8S3WI9e/aUkzkSERFRYGJGqBnMCBEREQXu57fXi6V9nSNOFG8oERER+QfH53Zz+R4GQs0oLCyUey61QURE5H/Ky8tlZqgpDISaIYbxC6dOnbroG0mu5VjsVixxwi5Jz+J77x18372H731gvvciEySCoLS0tItex0CoGWKRV0EEQfwF8TzxnvN99w6+997B9917+N4H3nvfkgQGR40RERFR0GIgREREREGLgVAzxEr0zzzzjNyT5/B99x6+997B9917+N4H93vPeYSIiIgoaDEjREREREGLgRAREREFLQZCREREFLQYCBEREVHQYiDUzAr0GRkZCAkJwdChQ7F582ZvN8mvzZkzB4MHD0ZkZCSSkpIwadIkHDp0qME1NTU1mDlzJuLj4xEREYHbbrsNubm5Da4Rs3zfeOONCAsLk4/z2GOPwWq1evjV+K8XXngBGo0Gjz76qPMc33f3OXPmDO6991753oaGhqJPnz7YunWr834xXuXpp59GamqqvH/cuHE4cuRIg8coKirCPffcIyeci4mJwYMPPoiKigovvBr/YbPZ8Oc//xkdOnSQ72unTp3w17/+tcG6U3zvXWPdunWYOHGinMFZ/G1ZunRpg/td9T7v3r0bI0aMkJ/JYjbqf/zjH655AWLUGF3oo48+UoxGo7JgwQJl3759yowZM5SYmBglNzfX203zW+PHj1fefvttZe/evcrOnTuVG264QWnXrp1SUVHhvOZXv/qVkp6erqxatUrZunWrMmzYMOXKK6903m+1WpXevXsr48aNU3bs2KF88803SkJCgvLkk0966VX5l82bNysZGRnKFVdcoTzyyCPO83zf3aOoqEhp3769Mm3aNGXTpk3K8ePHleXLlytHjx51XvPCCy8o0dHRytKlS5Vdu3YpN998s9KhQwelurraec3111+v9O3bV9m4caPyww8/KJ07d1buuusuL70q//Dcc88p8fHxyldffaVkZmYqixcvViIiIpRXXnnFeQ3fe9cQfw+eeuop5bPPPhNRprJkyZIG97vifS4tLVWSk5OVe+65R36GfPjhh0poaKgyf/78VrefgVAThgwZosycOdN522azKWlpacqcOXO82q5AkpeXJ39p1q5dK2+XlJQoBoNB/sFyOHDggLxmw4YNzl84rVar5OTkOK957bXXlKioKKW2ttYLr8J/lJeXK126dFFWrlypXHPNNc5AiO+7+/zhD39Qrr766ibvt9vtSkpKivLiiy86z4l/D5PJJP/QC/v375f/Flu2bHFe8+233yoajUY5c+aMm1+B/7rxxhuVBx54oMG5yZMnyw9Sge+9e+C8QMhV7/N///tfJTY2tsHfG/H71a1bt1a3mV1jjTCbzdi2bZtM39Vfc0zc3rBhg1fbFkhKS0sbLGwr3nOLxdLgfe/evTvatWvnfN/FXnQtJCcnO68ZP368XLhv3759Hn8N/kR0fYmurfrvr8D33X2++OILDBo0CD/72c9kd2L//v3xxhtvOO/PzMxETk5Og/derI0kuuLrv/eiq0A8joO4XvxN2rRpk4dfkf+48sorsWrVKhw+fFje3rVrF3788UdMmDBB3uZ77xmZLnqfxTUjR46E0Whs8DdIlFcUFxe3qo1cdLURBQUFsn+5/h99Qdw+ePCg19oVSOx2u6xRueqqq9C7d295TvyyiP/JxS/E+e+7uM9xTWP/Lo77qHEfffQRtm/fji1btlxwH9939zl+/Dhee+01zJ49G3/84x/l+/+b3/xGvt9Tp051vneNvbf133sRRNWn1+vlFwi+90174oknZKAugnqdTif/pj/33HOyDkXge+8ZOS56n8Ve1Hud/xiO+2JjYy+7jQyEyGvZib1798pvaOReWVlZeOSRR7By5UpZZEieDfjFt9znn39e3hYZIfH//bx582QgRO7z8ccfY+HChfjggw/Qq1cv7Ny5U375EgW9fO+pPnaNNSIhIUF+gzh/1Iy4nZKS4rV2BYpZs2bhq6++wurVq9G2bVvnefHeim7JkpKSJt93sW/s38VxH11IdH3l5eVhwIAB8luW2NauXYtXX31VHotvVXzf3UOMkunZs2eDcz169JAj8Oq/dxf7WyP24t+vPjFaT4yy4XvfNDGqUWSF7rzzTtmte9999+G3v/2tHL0q8L33jBQXvc/u/BvEQKgRIm09cOBA2b9c/5uduD18+HCvts2fiTo6EQQtWbIE33///QVpTvGeGwyGBu+76P8VHxqO913s9+zZ0+CXRmQ6xJDL8z9wSDV27Fj5nolvxI5NZClEF4HjmO+7e4iu3/OniBA1K+3bt5fH4ndA/BGv/96L7hxRF1H/vRdBqghoHcTvj/ibJOosqHFVVVWyxqQ+8QVXvG8C33vP6OCi91lcI4bpi3rG+n+DunXr1qpuManV5dYBPHxeVLW/8847sqL9F7/4hRw+X3/UDF2ahx56SA6hXLNmjZKdne3cqqqqGgzjFkPqv//+ezmMe/jw4XI7fxj3ddddJ4fgL1u2TElMTOQw7ktUf9SYwPfdfdMV6PV6OZT7yJEjysKFC5WwsDDl/fffbzC0WPxt+fzzz5Xdu3crt9xyS6NDi/v37y+H4P/4449y9B+HcF/c1KlTlTZt2jiHz4uh3WLKh8cff9x5Dd971xAjUsW0GmITYcXcuXPl8cmTJ132PouRZmL4/H333SeHz4vPaPG7xOHzbvavf/1LfjiI+YTEcHoxvwFdPvEL0tgm5hZyEL8Yv/71r+UwSfE/+a233iqDpfpOnDihTJgwQc4hIf6w/e53v1MsFosXXlHgBEJ8393nyy+/lEGk+GLVvXt35fXXX29wvxhe/Oc//1n+kRfXjB07Vjl06FCDawoLC+WHgpgHR0xZMH36dPnhQ00rKyuT/4+Lv+EhISFKx44d5Vw39Ydf8713jdWrVzf6t10Eo658n8UcRGI6CvEYIsgVAZYraMR/WpdTIiIiIvJPrBEiIiKioMVAiIiIiIIWAyEiIiIKWgyEiIiIKGgxECIiIqKgxUCIiIiIghYDISIiIgpaDISIiIgoaDEQIiIioqDFQIiIGsjKysIDDzyAtLQ0uQCxWCD0kUceQWFhobebRkTkcgyEiMjp+PHjcjX6I0eO4MMPP8TRo0cxb948uXK0WP25qKjI200kInIpBkJE5DRz5kyZBVqxYgWuueYatGvXDhMmTMB3332HM2fO4KmnnnJeq9FosHTp0gY/HxMTg3feeadBdumOO+6Q5+Pi4nDLLbfgxIkTzvtHjRqFRx99tMFjTJo0CdOmTXPerq2txe9//3u0adMG4eHhGDp0KNasWXPR13Hq1Cn5XBEREYiKipJtyM3NbXDNl19+icGDByMkJAQJCQm49dZbGzznH/7wB6Snp8NkMqFz585466235H3i9YnXU594H8T74fCXv/wF/fr1w/z58+VjhIWFyTaUlpY6r9myZQuuvfZa+dzR0dHy/d6+fXuDxxWP+eabb8q2icfo0qULvvjiiwbX7Nu3DzfddJN8nZGRkRgxYgSOHTuGdevWwWAwICcnp8H14v0W1xCRioEQEUki27N8+XL8+te/RmhoaIP7UlJScM8992DRokVo6TrNFosF48ePlx/OP/zwA3766ScZmFx//fUwm80tbtesWbOwYcMGfPTRR9i9ezd+9rOfyccQWavG2O12GQSJ17N27VqsXLlSZrqmTJnivObrr7+WwcUNN9yAHTt2yIzXkCFDnPfff//9MiP26quv4sCBAzKgEW2/FCKb9vHHH8uAa9myZfJ5xHvrUF5ejqlTp+LHH3/Exo0bZZAj2iPO1/fss8/KIEq8dnG/+HdwZOZEcDpy5EgZrH3//ffYtm2b7Na0Wq3yfMeOHfHee+81+DdZuHChvIaI6rhkDXsi8nsbN24UEY6yZMmSRu+fO3euvD83N1febuza6Oho5e2335bH7733ntKtWzfFbrc776+trVVCQ0OV5cuXy9vXXHON8sgjjzR4jFtuuUWZOnWqPD558qSi0+mUM2fONLhm7NixypNPPtloO1esWCF/5tSpU85z+/btk+3dvHmzvD18+HDlnnvuafTnDx06JK9duXJlo/eL1ydeZ33ifaj/5/SZZ56RbTh9+rTz3LfffqtotVolOzu70ce12WxKZGSk8uWXXzrPicf805/+5LxdUVEhz4nHEsR70KFDB8VsNjf6mH//+9+VHj16OG9/+umnSkREhHwcIlIxI0REDTSX8RFdZy2xa9cumRURGSGRTRGb6B6rqamRXTctsWfPHthsNnTt2tX5GGITmZ6mHkNkcER3lNgcevbsKbuzxH3Czp07MXbs2EZ/Xtyn0+lkV1VriG5F0Z3nIGqsRLbq0KFD8rboqpsxY4bMBImuMdG1VVFRIbv16rviiiucx6JrUFyXl5fnbKvo5hJdYI0RXYzi30BknBzdeiK7JB6HiFT6uj0RBTlRByNqUkSwUL9exkGcT0xMdNbHiGvPD5pE14uD+FAfOHCg7Io5n3gcQavVNvsYIigRXT5iX9+ldlXVd37XX0vva0mbW0p0i4mReK+88oocmSe6t0SwdH634flBjnjfRUDVkrYmJSVh4sSJePvtt9GhQwd8++23zdZXEQUbZoSISIqPj5fFu//9739RXV3d4D5RcCsCmvpFzCKYyc7Odt4WNTtVVVXO2wMGDJDnxIexCLLqbyID0thjiOzP3r17nbf79+8vz4kMyPmPIeqWGtOjRw9ZpC02h/3796OkpERmhhxZFlEX1Jg+ffrIQENknRoj2izqeCorK53nRGbmfCKzc/bsWedtkZURQVS3bt3kbVEz9Zvf/EbW/fTq1UsGQgUFBbgU4nWI+quLBWI///nPZW3X66+/jk6dOuGqq666pOcgCnh1XWRERMrhw4eVhIQEZcSIEcratWtlnY2oR+ndu7fSr18/pby83HntnXfeKetPtm/frmzZskUZM2aMYjAYnDVClZWVSpcuXZRRo0Yp69atU44fP66sXr1aefjhh5WsrCx5zbx585SwsDDlq6++Ug4cOKDMmDFDiYqKctYICaKWJyMjQ9a3iMfYtGmT8vzzz8ufaYyoSRJtFa9h27Zt8vqBAwfKeiQH0Q5Rr/P0008r+/fvV3bv3q288MILzvunTZumpKeny9ofR7sXLVok7yssLFTCw8OV3/zmN8rRo0eVhQsXKmlpaRfUCIlrxo0bp+zcuVO+/q5du8r3zKF///7KtddeK59f1GeJ9or6qX/+85/Oa5qrwyooKFDi4+OVyZMny38D8e/3v//9Tzl48GCD2iPxWoxGY4PXSEQqBkJE1EBmZqYMRJKTkxWNRiM/jMUHrQhs6hMFzNddd538wBcBzzfffNPgQ1oQhcH333+/DK5MJpPSsWNHGeyUlpbK+0WR70MPPaTExcUpSUlJypw5cxoUSzuuEQGLCIZEoJWamqrceuutMnhpiiiyvvnmm2XbRAHyz372MyUnJ6fBNSKwEgGTCBBE+8RrdKiurlZ++9vfyucS93fu3FlZsGCB834RnIhzInC56aablNdff/2CQKhv377Kf//7XxkkhYSEKLfffrtSVFTkvEYEkIMGDZL3ifdv8eLFSvv27S8pEBJ27dol/x1EQCleqwiojh071uBn/vznP8vi7bNnzzb5nhEFK434j7ezUkTku5555hnMnTtXDkMfNmyYt5vjF8Q8QmJuoca6zLzhwQcfRH5+/gVzEBERi6WJqBliHpuMjAxZ4yLm2hF1LuQfxASOYuTdBx98wCCIqAkMhIioWdOnT/d2E+gyiIklN2/ejF/96leyEJ6ILsSuMSIiIgpazHETERFR0GIgREREREGLgRAREREFLQZCREREFLQYCBEREVHQYiBEREREQYuBEBEREQUtBkJERESEYPX/Ac9ooiQwfvf8AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = tadpole.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-13T11:22:34.792340Z",
     "start_time": "2021-04-13T11:22:32.465363Z"
    }
   },
   "source": [
    "Not so stable after all... This is not surprising because of the random walk between left and right nodes, which forces queues of arbitrary size if one waits long enough."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Diamond"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Consider the following:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:54.300357Z",
     "start_time": "2024-07-09T20:48:54.289813Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:59.323725Z",
     "iopub.status.busy": "2025-09-28T06:59:59.323725Z",
     "iopub.status.idle": "2025-09-28T06:59:59.330096Z",
     "shell.execute_reply": "2025-09-28T06:59:59.329085Z",
     "shell.execute_reply.started": "2025-09-28T06:59:59.323725Z"
    }
   },
   "outputs": [],
   "source": [
    "diamond = sm.CycleChain(tol=1e-3)\n",
    "ϵ = 0.2\n",
    "diamond.rates = [2, 2 + ϵ, 1 + ϵ, 1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Try fcfm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:57.090770Z",
     "start_time": "2024-07-09T20:48:54.304399Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T06:59:59.332111Z",
     "iopub.status.busy": "2025-09-28T06:59:59.332111Z",
     "iopub.status.idle": "2025-09-28T07:00:00.804201Z",
     "shell.execute_reply": "2025-09-28T07:00:00.803693Z",
     "shell.execute_reply.started": "2025-09-28T06:59:59.332111Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diamond.run(\"fcfm\", n_steps=10000000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:57.112071Z",
     "start_time": "2024-07-09T20:48:57.093716Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:00.805207Z",
     "iopub.status.busy": "2025-09-28T07:00:00.805207Z",
     "iopub.status.idle": "2025-09-28T07:00:00.810616Z",
     "shell.execute_reply": "2025-09-28T07:00:00.810616Z",
     "shell.execute_reply.started": "2025-09-28T07:00:00.805207Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-fd5c093c-ed82-4eb2-8fa6-bbfa1aae05a7\">\n",
       "<div id=\"fd5c093c-ed82-4eb2-8fa6-bbfa1aae05a7\"></div>\n",
       "<a href=\"#\" id=\"fit-fd5c093c-ed82-4eb2-8fa6-bbfa1aae05a7\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-fd5c093c-ed82-4eb2-8fa6-bbfa1aae05a7 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#fd5c093c-ed82-4eb2-8fa6-bbfa1aae05a7 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"2.2\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"1.2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"1\", \"title\": \"3\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"1.33\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"0.668\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"0.199\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 3)\", \"label\": \"0.665\", \"color\": \"blue\", \"from\": 1, \"to\": 3}, {\"title\": \"4: (2, 3)\", \"label\": \"0.334\", \"color\": \"blue\", \"from\": 2, \"to\": 3}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('fd5c093c-ed82-4eb2-8fa6-bbfa1aae05a7');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-fd5c093c-ed82-4eb2-8fa6-bbfa1aae05a7').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diamond.show_flow()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Nodes 0 and 3 are non-empty most of the time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:57.798355Z",
     "start_time": "2024-07-09T20:48:57.122378Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:00.812624Z",
     "iopub.status.busy": "2025-09-28T07:00:00.811625Z",
     "iopub.status.idle": "2025-09-28T07:00:01.249302Z",
     "shell.execute_reply": "2025-09-28T07:00:01.248794Z",
     "shell.execute_reply.started": "2025-09-28T07:00:00.812624Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = diamond.simulator.show_ccdf(sort=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:48:57.934162Z",
     "start_time": "2024-07-09T20:48:57.802369Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:01.250312Z",
     "iopub.status.busy": "2025-09-28T07:00:01.250312Z",
     "iopub.status.idle": "2025-09-28T07:00:01.328355Z",
     "shell.execute_reply": "2025-09-28T07:00:01.328355Z",
     "shell.execute_reply.started": "2025-09-28T07:00:01.250312Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = diamond.simulator.show_average_queues(sort=True, as_time=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Try random edge (we use a seed to have a True result; in practice, random node is borderline in this example and overflows relatively often)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:01.822912Z",
     "start_time": "2024-07-09T20:48:57.937175Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:01.329365Z",
     "iopub.status.busy": "2025-09-28T07:00:01.329365Z",
     "iopub.status.idle": "2025-09-28T07:00:04.767493Z",
     "shell.execute_reply": "2025-09-28T07:00:04.767493Z",
     "shell.execute_reply.started": "2025-09-28T07:00:01.329365Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diamond.run(\"random_edge\", n_steps=10000000, seed=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:01.835076Z",
     "start_time": "2024-07-09T20:49:01.825919Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:04.768867Z",
     "iopub.status.busy": "2025-09-28T07:00:04.768867Z",
     "iopub.status.idle": "2025-09-28T07:00:04.774771Z",
     "shell.execute_reply": "2025-09-28T07:00:04.774263Z",
     "shell.execute_reply.started": "2025-09-28T07:00:04.768867Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-48fc4538-cd9a-4ce1-b448-b51b8b764f65\">\n",
       "<div id=\"48fc4538-cd9a-4ce1-b448-b51b8b764f65\"></div>\n",
       "<a href=\"#\" id=\"fit-48fc4538-cd9a-4ce1-b448-b51b8b764f65\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-48fc4538-cd9a-4ce1-b448-b51b8b764f65 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#48fc4538-cd9a-4ce1-b448-b51b8b764f65 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"2.2\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"1.2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"1\", \"title\": \"3\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"1.33\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"0.667\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"0.199\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 3)\", \"label\": \"0.667\", \"color\": \"blue\", \"from\": 1, \"to\": 3}, {\"title\": \"4: (2, 3)\", \"label\": \"0.333\", \"color\": \"blue\", \"from\": 2, \"to\": 3}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('48fc4538-cd9a-4ce1-b448-b51b8b764f65');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-48fc4538-cd9a-4ce1-b448-b51b8b764f65').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diamond.show_flow()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:02.531896Z",
     "start_time": "2024-07-09T20:49:01.837544Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:04.775778Z",
     "iopub.status.busy": "2025-09-28T07:00:04.775778Z",
     "iopub.status.idle": "2025-09-28T07:00:05.145594Z",
     "shell.execute_reply": "2025-09-28T07:00:05.145594Z",
     "shell.execute_reply.started": "2025-09-28T07:00:04.775778Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = diamond.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:02.720706Z",
     "start_time": "2024-07-09T20:49:02.534906Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:05.147046Z",
     "iopub.status.busy": "2025-09-28T07:00:05.147046Z",
     "iopub.status.idle": "2025-09-28T07:00:05.251804Z",
     "shell.execute_reply": "2025-09-28T07:00:05.251804Z",
     "shell.execute_reply.started": "2025-09-28T07:00:05.147046Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = diamond.simulator.show_average_queues(sort=True, as_time=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Try random item."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:05.517585Z",
     "start_time": "2024-07-09T20:49:02.723801Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:05.252809Z",
     "iopub.status.busy": "2025-09-28T07:00:05.252809Z",
     "iopub.status.idle": "2025-09-28T07:00:07.535629Z",
     "shell.execute_reply": "2025-09-28T07:00:07.533617Z",
     "shell.execute_reply.started": "2025-09-28T07:00:05.252809Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diamond.run(\"random_item\", n_steps=10000000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:05.529099Z",
     "start_time": "2024-07-09T20:49:05.520638Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:07.536628Z",
     "iopub.status.busy": "2025-09-28T07:00:07.535629Z",
     "iopub.status.idle": "2025-09-28T07:00:07.541283Z",
     "shell.execute_reply": "2025-09-28T07:00:07.541283Z",
     "shell.execute_reply.started": "2025-09-28T07:00:07.536628Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-99fd025e-d11f-410f-870b-854ece974a67\">\n",
       "<div id=\"99fd025e-d11f-410f-870b-854ece974a67\"></div>\n",
       "<a href=\"#\" id=\"fit-99fd025e-d11f-410f-870b-854ece974a67\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-99fd025e-d11f-410f-870b-854ece974a67 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#99fd025e-d11f-410f-870b-854ece974a67 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"2.2\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"1.2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"1\", \"title\": \"3\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"1.33\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"0.668\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"0.198\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 3)\", \"label\": \"0.666\", \"color\": \"blue\", \"from\": 1, \"to\": 3}, {\"title\": \"4: (2, 3)\", \"label\": \"0.333\", \"color\": \"blue\", \"from\": 2, \"to\": 3}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('99fd025e-d11f-410f-870b-854ece974a67');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-99fd025e-d11f-410f-870b-854ece974a67').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diamond.show_flow()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:06.131630Z",
     "start_time": "2024-07-09T20:49:05.532328Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:07.543290Z",
     "iopub.status.busy": "2025-09-28T07:00:07.542289Z",
     "iopub.status.idle": "2025-09-28T07:00:07.971512Z",
     "shell.execute_reply": "2025-09-28T07:00:07.971512Z",
     "shell.execute_reply.started": "2025-09-28T07:00:07.543290Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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8bJGeW4TPN0Wiy3f7sO18PCVUE0KIuWI/vwtzjH/oTP/3hoXQAzAnLlYuuJF5Ayl27kD85UpPmC5LbmkJ3/nzETNwIPLPnkXMoEEIWLMGqipVYEhsTbZ9oDtCa7ji1xO3MHvHJdxIycWwNRFoEeCMj5+vg0Z+jgYdAyGEkEpWlAtM8zb++34UB6hsYMpoRuhpdo5Z6zvRGzIQYhS2NvBfvAjqwEBokpIRM2Agiu7cgTFYKOR4I9gfe99vj9EdasBSKcexG6no+eNBjF13CrfSKKGaEEKI+aMZoadZGistqli5O8ceReHoCP9lS3HzrbdReOMGD4aqrFkNC1dXGIOt2gITugTyoGjG9kvYcOo2/jodh63n4zGgdQBGhNWAg5XSKGMhhBDylJTW+tkZId7XxNGMUAWXxkobrxphRqgEC3r8VyyH0ttbHwwNHARNejqMycvBCrNfbYxNo9ogpJoLT6BetO86wmbswUpKqCaEENMmk+mXqIx9yGQwdRQIPU0ghLtFFdNuAJpio7y30ssL/itXwMLNDQWXLyNmyFBosrNhbPV9HPDzkGAs798MNdxtkZZbhM82RaLrnHBKqCaEEPJMsrOzcfr0aX4w0dHR/Dwm5tkanf8XCoSeYmkstTgXsLA02Bb6x1H5+/OZIbZcln/uHGKHDYM2Lw/GxhKqO9T2wLaxofjqpfpwtVXxrvYsofrVRYdxKoYqVBNCCKm4EydOoEmTJvxgxo8fz8+nTJkCQ5FEIMTqETg5OaF3796VMyOUnwo4VTXq8lgJdY0a8Fu2FHI7O+SdiMCt0WOgLRSmkzxLqH4zuMp9CdXHb6ThpfmHMPqXU4hNpYRqQggh5RcWFsZXFh48Vq5cCUORRCA0duxY/PTTT5WXLJ2fAp1AgRBjVa8e/BYtgszaGjkHDuD2+PHQFQlXBbokoZq17Ogd5MuXhDedieMNXaf9E0UVqgkhhJgsuVQiTDs7fVXoypgRKtAUIMfJr9K70FeEddMm8Jv/Iy++mL1zF+ImfwSd5m7ukkBYQvXMPo14U9fWNVx4herF4dd5herlByihmhBCiOmRm0ODNdZzJCAgAJaWlggODsaxY8cEGauVhRWsLfRbAVOc/fUPXvrHaAnTD7Jp2RI+8+YCFhbI3LwZ8Z99Bp1W+GCjnrcD1gwK5hWqa7rrK1R/sTkSnb/bh63n7lBCNSGEEJMhN/UGa+vXr+fJUlOnTsXJkyf5a7t27YrExMTS1zRu3Bj169d/6IiLq3jNhIKCAmRmZt53PLKoom8TwNoVSL8JnP8dQrELC4PPzBmAXI70335HwrTpJhFolFSo3jo2FNNfbgBXWzVupuRi+NqT6L3wME5SQjUhhBATIDf1BmuzZ8/GkCFDMGDAANStWxcLFy6EtbU1li9fXvoatrXu/PnzDx1slqmipk+fDgcHh9LDz+/uEtiDCdNs51jISP2D+2cBAs7E2D/3HLynT+P1GtLWrEHSrFkmEQyVJFS/3sIf+94Pw5iONXlCdcTNNLw8/xBG/nwSMSmUUE0IIUTCgdB/KSwsREREBDp16lT6mFwu5/cPHz5skPecPHkyMjIySo/Y2NhHJ0znpQDNBwOWDkDyZSDqbwjJoWdPeH72mX5sS5chef58mBIbtQXGd66FvRPb49Vm+oTqLWfvoOPsvfhycyTSc4XZ+UYIIUTaTDoQSk5OhkajgYeHx32Ps/vx8fHl/jwscOrTpw/++ecf+Pr6/mcQpVarYW9vf9/xqBmhVLaF3tIeCB6ufyJ8puBddp36vgqPyZP4efL3PyBl2b1ZM1Ph6WCJb3s3wj9jQhFa0xVFGh2WHohGuxl7sYwSqgkhhBiZSQdClWXnzp1ISkpCbm4ubt26hZCQkCd+DMtZYktxzZs3f/TSGJsRYoLfBVS2QMI54PJ2CM25Xz+4vfceP0+cMQOpP/8MU1THyx6rBwVj1cAWCPSwQ0ZeEf5HCdWEEEKMzKQDIVdXVygUCiQkJNz3OLvv6elp0PceOXIkIiMjcfz48cfWEuKsnfVLZEz4DMFnhRjXd4fCZfgwfp7wxf+Q/scfMFXtarnhn0ckVLMK1adjjdtPjRBCiPSYdCCkUqkQFBSEXbt2lT6m1Wr5/fLM6jyLcs8IMSxpmrXcuH0CuL4XpsBtzBg49+/Pz+988iky/hY2h+m/KOQynlC9lyVUl6lQ3evHg1ShmhBCiLgDoSc1WGNb55csWYJVq1YhKioKw4cP51vu2S4yk5gRYmzdgaD+93KFTADbvu7+4QdweuN1PksVN2kyMrduhSljFarH361Q/UrTMhWqZ+/D11svIjOfKlQTQohYTZ8+nU8+sALI7u7u6NWrFy5duiT+QOhJDdb69u2LmTNn8vusXhALkrZt2/ZQArWxlNYRKjsjxLQaA8iVwM0DwE3D7Gh7mmDI45NP4NinN9/ef3vi+8jauROmjlWonvVqI2wa1QYh1Vx4AvXCfdcQNmMvVh++gWINJVQTQojY7Nu3j09CHDlyBDt27EBRURG6dOnCJz8MSaajrNTHLo2xg+1au3z5Mt9Kz3aQZRVmodUvrfhrjr15jFebLrVpLBCxEqjRCXjLdPJyWLXpO6wswF9/A0olfL+fxwsxmgP27bkrKhHTtkbhepL+f4bqbjb4+Pk6vGAjC/YIIYTck5+fz1dXqlatyjsymKukpCQ+M8QCpLZt21b4a2UFkVk9wJLf3yY7I2SqHrc0Zqu0hUquevSsUOtxgEwBXN0J3D4JUyGTy+H11Vew794NKCrC7TFjkX3gIMwBC3Q61fXA9nFt8UXPenC2UeFaUg4GrjyBt5YdxYW4DKGHSAghZvFHZW5RrtEP3TPMtbAAhnF21q/EGIqFQT+7CLFfzCxh+k7OHZ4n5Gvne+9J56pAw1eBM7/oq02/thamQmZhAe9vvuFd6rN27MStkSN5B3ublsEwB0qFHO+EBKBXEx/8uOcqVhy4gYNXU/DC9wfQu6kvJnYNhIe9+f7lQwghhpRXnIfgn43/8/7oG0dhrdT36KwItjFq3LhxaN26NW+ZZUg0I/QUShKmU/NSH36yzXgWdgAXNwMJF2BKZEolfGbNgm1YGHQFBYgdPhy5EREwJ/aWSkzuVge7JrTDCw29eLWC3yJu8fyhOTsvI7dQmAa4hBBCKndVhrXKWrduHQyNZoTKkSP0oNIt9GV3jpVwqwXU6wVc2KCfFeptWtWdZSoVfObOwa0RI5Fz8CBih74L/2VLYdW4McyJn7M1fnijKQa0TsOXWyJxKiYdc3ZewS/HYjChSyDfdca25RNCCAHPZ2WzM0K8b0WNGjUKmzdvRnh4OO8GYWg0I1TBHKHH1hIqK3SC/vb8n0DyVZgauVoN3x9/gHVwMLQ5OYgZMhR5501r9qq8gqo44c/hrfDDG03g62SFhMwCfPD7WfT4/gAOXU0WeniEEGIyaR1sicrYh6wCG1pYPhELgjZs2IDdu3fzBGhjoEDoKTyyllBZng2AWt3YPytw4DuYIrmlJfwWzIdVsyBos7IQM2gQ8i9ehDli/6O90NAbO8e3w+RutWFnaYHIO5l4Y+lRDF51AteSsoUeIiGEkHJMQKxZswY///wzryXEeoqyIy8vD4ZEgdBTeOKMENN2ov727DogXV8c0tTIra3ht3ARXxbTZmQgZsBA5F++DHNlqVTg3XbVse/99ugXUoUvje2MSkDX78Lx2d8XkJZDHe4JIcRULViwgO8UCwsLg5eXV+mxfv16g74vBUIVbLFxX1HFx80IMb7NgGphgLYYODgXpkphawO/JYthWb8+NGlpPBgquH4d5oxtsf+8Z31sHxeKjrXdUazVYeWhG2g3Yw+W7r9OHe4JIcQE6XS6Rx7977aLMhQKhJ4mR8iyHDNCTNv39bcnVwOZd2CqFHZ28F+6BOo6daBJSUFMv/4ovHED5q6Gux2W9W+ONYOCUdvTDpn5xfhySxR1uCeEEFKKAqGn8J+7xsqq0hrwawloCoDDP8CUKRwd4b98GdQ1a6I4KQk3+w9AYWwsxKBNTVdsGROKb15pADe7ex3uey88jIibaUIPjxBCiIAoEHoKJTNCrN1GoeY/8k5YtnzJrNCJ5UDOEwIngVk4OcF/xXKoqlVDcXw8YvoPQFFcHMSA5Qv1be6PvRPDMLZjTVgpFTwIemXBIYxYG4EbyYbtZUMIIcQ0USD0FDlC9mp7WMj0JZhS8x9RVLGsGh0Br8ZAUS5wZD5MnYWrK/xXroCyij+Kbt/GzQEDUJSQCLGwUVvgvc61sPf9MPRt5gdWauifc/F8uezzTZRQTQghUkOB0FPkCMll8vIlTJfOCt3dQXZsMZCXDlOndHdHlZUrofTxQdHNGMQMGIDiZHHV5GHtOL7p3RD/jA1Fu1puKNLosOLgDbSdsYd3us8veriQJiGEEPGhQMiQW+hLBD4PuNUBCjKB40tgDpReXvBftRIWXl4ovH6d7yYrThNfPk1tT3usGtgCqwe1QB0ve2TlF+PrrRfRYeZe/HnyFrRaSqgmhBAxo0DoKTlbOZc/EJLL71WbPjwfKDCPAn8qX19UWbEcFm5uKLhyhRdd1GRmQoxCa7ph8+g2mNmnEbwcLBGXkY/xv57hTV0PXBHXbBghhJB7KBAyVHXpB9V7CXCuBrBGrRErYS5UAQE8Z0jh4oKCyCjEDB4CTbZ5BHJPk1DdO8gXeyaG4YPnAmGn1leofmvZUfRbfgwX48UZBBJCiJRRIPSUyl1LqITC4m5negCH5gFF+TAX6urV4b98ORQODsg/e5Y3amU9ysSKVageEVYD+z5ojwGtA6BUyLDvchK6zd2P9387g/gM8/m3I4QQ8t8oEHrGHKGkvKTyf1DDvoC9L5CdAJxaDXNiGVgLfsuXQW5nh7yTJxE7YiS0Bu7/YgoVqqf2qMd7mD3fwAus/uJvEbcQNnMPZmy/iKz8IqGHSAgh5BlRIPQU2+eZGo41+O3F1Ao0KrVQAW3G6c9Z2w2Nef0itapXj1egltvYIPfoUdwaNRraggKIXRUXG/z4ZlNsGNEKzQOckF+kxY97riFsxl78dPgGijTUsoMQQiqj11jDhg1hb2/Pj5CQEGzduhWGRoHQU2yfZ+q71ue3NzNvIqMgo/yfuMlbgK0HkBELnDVsIzlDsGrUCH6LF0FmZYWcgwdxe+w46AqlUXunib8Tfn03BIveDkI1Vxuk5BRiyl8X0OW7cGw7Ty07CCHkWfj6+uLrr79GREQETpw4gQ4dOqBnz564cOECDIkCoafkoHZAFfsq/Px88vnyf6DSCmg1Wn++fxagNb96NdZBQfBbMB8ytRrZe/fi9oSJ0BUXQwpkMhm61vPE9vfa4n8968HFRoXo5BwMW1PSsuMJBTYJIYQ8Uo8ePdC9e3fUrFkTtWrVwldffQVbW1scOXIEhkSB0DMomRU6m3y2Yh8YNABg2+9TrwMXNsAc2bRsCd8ffoBMqUTWjh2I++BD6DTmF9Q9LaVCjrdDAniF6tEdasBSKb/bsuMwhq+J4MERIYSYCjZjrc3NNfqhe8qZco1Gg3Xr1iEnJ4cvkRmSvk8EeSoNXBtgy/UtFZsRYtS2QMgIYPeXQPhMoN7L+lpDZsY2tA185s7FrTFjkPnPP5CpVPCa9hVkZvi1PC07SyUmdAnEm8FV8N2Oy/gtIhZbz8djR2QC3gz2x5iONeFiqxZ6mIQQidPl5eFS0yCjv2/gyQjIrK3L/fpz587xwCc/P5/PBm3YsIHn6xqSdH5jGSgQYs4lnat41NtiKKB2AJKigEtbYK7sOrSHz6xZgEKBjI0bEf/Z55LMlfF00Lfs2Dq2LdoHuqFYq8OqwzfRbsZe/LjnKvIKpTNbRgghTyswMBCnT5/G0aNHMXz4cPTr14/n6xqSTCfF31oVkJmZCQcHB2RkZPAs9rIKNAVo+XNLFGuLsfXlrfC1863YJ+czQjMAr0bA0H36vmRmKmPzFsR98AGg1cLpzTfh8cnHPJ9Gqg5dTca0rVE4f1tfhNHT3hITutTCy019eeFGQggxFDabEh0djapVq8LS0pI/xn7Vs1khY5NZWT3T74JOnTqhevXqWLRoUbm/1vL8/i6LZoSegVqhRm2n2vy8wstjTPBwQGkN3DkDXN0Jc+bwwvPw+uorHsylrV2LxK+/keTMUIlWNVzx98g2mNO3MXwcrRCfmY/3fz+L5+ft58UZpXxtCCHGx4IRubW10Q/ZM/5BrNVqUWDgMi0UCAmVMM3YuADNBurP2cyQmf9ydHypFzy/+Jyfp65ahaTZsyX9C18ul6FXEx/smtAOH3WvDXtLC1yMz+LtOt5edgznb1eg7AIhhIjc5MmTER4ejhs3bvBcIXZ/7969ePPNNw36vhQIPWVBxRIN3Ro+/YwQw7bSK9RA7FHgxgGYO6c+feAx5VN+nrJkKZK//wFSx1p2DG1bHeEftMfgNlWhUshx4Goyb+j63vrTuJWWK/QQCSFEcImJiXjnnXd4nlDHjh15Hb/t27ejc+fOBn1fyhF6gietMUZnROPFjS/yZbLDbxyGUq6s+JtsmQgcXwJUbQf0+xtiwGaEEqZ/zc/dxo6B6/DhQg/JZMSm5mLG9kv4+0wcv88Co3dCqmBUhxpwtFYJPTxCiJn7r7wZscmnHCHhsaKKdko7njh9Ne3q032S1mMBuQUQvQ+IPQYxcO7XD+7vT+TnSXPnIWXpUqGHZDL8nK0x7/Um2DSqDVpVd0GhRoulB6LR9ts9WLjvGvKLaIcZIYQYCwVCz0guk5fmCZ1LPvd0n8TRD2j0uv6c1RUSCZdBg+A2biw/T5w5i88SkXsa+Dpg7eBgrBzQHLU97ZCZX4yvt15Eh5l78XvELWi0NFlLCCGGRoFQJXjmQIhp8x4gkwNXtut3kYmE67BhcB0xgp+zpbK0X34Rekgmhe2oCAt0x5YxoZjZpxG8HSwRl5GPib+d4TlE4ZeThB4iIYSIGgVClaAkYZoVVnxqLtWB+r1FNyvEuI4eBZchg/l5/OdfIP2PP4UekslhtYV6B/li98QwTOpWG3aWFoi6k4l3+A6zo/ycEEJI5aNAqBJnhK5nXEd2YfbTf6LQCfrbqL+BxCiIadbDbfx4OL39Nr9/55NPkLFps9DDMtkdZsPaVUf4++0xsHVVKBUy7L+SjO7z9vNZojsZxi+IRggxT1LYC6WrhK+RAqFK4GrlCm8bb+igQ2TKM5QCd68N1HnxXmd6EWHBkMdHk+HYty+vlxQ3aRIyt/8r9LBMlpONClN61MXO8e3wQkMvXmKK5Q21n7kXM7ZfRGZ+kdBDJISYKKVSv3s5N1f8pTly736NJV/z06Dt809Q3u13E/ZOwL83/8XYpmMxuIF+Geip3DkLLArV5wuNOqFfMhMRnVaLOx99zPuSQamE77y5sGvfXuhhmbxTMWmY/s9FHLuRyu8726gwpkMNvBFcBSoL+nuGEHK/O3fuID09He7u7rCuhArPpoaFLiwIYrWHHB0d4eXl9dS/v0UfCMXGxuLtt9/mF8vCwgKffvop+vTpU+6PL++FXHl+JWZFzEJH/46Y037Osw36577A5W1Ak7eAnj9CbHQaDeLe/0DfsZ4FQwsXwLZ1a6GHZfLY/6qsq/3X2y7ielIOf6yKizU+6Fob3Rt4iu4HHSHk2X5exMfH82BIzBwdHeHp+eiffxQIlYmKExIS0LhxY/5NERQUhMuXL8PGxqZcH1/eCxmREIH+2/rD3codu17d9WyDjj0OLOukry00+iTgVAVioysqwu3x45G1YydklpbwW7wINi1aCD0ss1Cs0WL9iVh8t+MKkrP1PXga+Tnio261EVzNRejhEUJMiEajQVGROJfSlUolFArFY5+nQOgxGjVqhM2bN8PPz69cry/vhcwtykWrX1pBo9NgZ++d8LDxeLaB/tQTuL4XaDYIeGE2xEhbWIhbo0cjZ184ZNbW8F+8CNbNmgk9LLORU1CMpfujsSj8GnIL9UUYO9Z2x/vPBaK25+O/VwkhRAoyzaWyNGuw1qNHD3h7e/OprY0sd+QRfb8CAgJ4+ezg4GAcO/Z01ZcjIiJ4dFzeIKgirJXWqOFY49nrCZVo+77+9tRqIPMOxEiuUsF33jzYtGoFXW4uYoe+i9yTJ4UeltmwUVtgbKea2Pt+GN5q6c+34O+6mIhuc/fzHmYxKeJPlCSEkGcleCCUk5PDZ2lYsPMo69evx/jx4zF16lScPHmSv7Zr164856cEW/aqX7/+Q0dcnL6XE5OamsqbuS1evNi0CyuWCGgD+LcCNIXAoXkQK7laDd/5P8I6pCW0LBgaMhR5p08LPSyz4m5niS97NcC/77XF8w30O8w2nLqNjrP3Yupf55GUpV8+I4QQYuJLY2xGaMOGDejVq1fpY2wGiHWA/+EHfRdzrVbLZ3RGjx6NSZMmlevzFhQU8O61Q4YM4YnTT3otO8pOrbH3e9LUGvPnlT8x9dBUtPBsgWVdl+GZXd0FrHkZsLACxp0DbN0gVtq8PMQOG47co0cht7WF//JlsGqoL1RJKubcrQx8u/0irz/EWKsUvCbR0HbVYG/59FtMCSHEnJjN0th/KSws5MtZnTp1Kn1MLpfz+4cPHy7X52BxXv/+/dGhQ4cnBkHM9OnT+YUrOSqyjFYyI3Q++Tw02kponFm9A+DdFCjOA46Ib/dYWXIrK/gtmA/r5s2hzc5GzKDByDtXCTNrEu1htnpQMH4eEozGfo48f+iHPVcR+s0e/LjnKnILi4UeIiGEmAyTDoSSk5N5To+Hx/2Jx+w+2wFWHgcPHuTLayz3iC2hsePcf/yCnTx5Mo8eSw62/b68qjtUh5WFFXKLcxGdEY1nxrYDluQKHVsC5OpryIiV3NoafgsXwKpZELRZWfpg6PwFoYdltlpVd8WGEa2w6O0g1HS3RUZeEWZsv8S73C87EE1d7gkhxNQDocrQpk0bvpx2+vTp0qNBgwaPfb1areZTaKtXr0bLli3RsWPHcr+XQq5APZd6lZcnxAR2AzwaAKx1x9FFEDu5jQ38Fy2CVdOm0GZmImbQIORHPkO1boljy81d63li27i2+K5vI153KDm7EP/bHImwGXux9uhNFBZrhR4mIYQIxqQDIVdXV14jgNUBKovdZwWUDGnkyJGIjIzE8ePHK/RxDVwbVG4gxGeF7vYgO7oAyM+URDDkt3gxrBo3hjYjAzEDBiI/Sjy914TAdpS91MSXt+yY/nIDeDlYIj4zHx9vOM+Tqv+IuAWN1mTSBQkhxGhMOhBSqVS8AOKuXfcKFLLZHXY/JCQEpqiBWyUHQgzrP+ZaC8jPAI4vgRQobG3gt3QJrBo1goYFQ/0HIP/iRaGHZfaUCjleb+GPPRPDMLVHXbjaqhGbmocJv51Bl+/2YcvZO9BSQEQIkRDBA6Hs7OzSJSsmOjqan8fExPD7bOv8kiVLsGrVKkRFRWH48OF8y/2AAQMMOi62nb9u3bp8x9rTzAhdSbuCPJbkXBnkCiB0ov788I9Aob69gtgpbG15MGTZsOG9YOjSZaGHJZou9wNaV0X4B2H48LnacLBS4lpSDkb+fBI9fjiA3RcTJNG5mhBCBN8+v3fvXrR/RNPNfv36YeXKlfycbZ2fMWMGT5Bmyc7z5s3j2+pNaftdCXY5O/zWAcl5yfip209o4t6kcgaiKQZ+CALSbgBdpwEhIyEVGpYrNHAQ8s+fh8LJCf6rVsKyVi2hhyUqrJs9q1K9bP915NytUh1UxQkTutTiSdeEEGJuqMVGJcwIsYPtWmO9ycobCDFjdo/Bntg9mNhsIvrV61d5g4pYBWwaA9h6AmPPAEpLSAWfEWLB0IULUDg7o8qqlVDXrCn0sEQnNacQC/ddw6pDN1BwN4k6uKozxnWqhZDq1MeMEGI+RFFHSEhPmyxddnmM1ROqVI1eB+x9gex4fesNCVE4OMB/2VKo69aBJjUVN/sPQMHVq0IPS3ScbVT4qHsdhH/QHm+3rAKlQoaj0al4fckRvLroMA5dTaYlM0KIqFAgZOqtNsqyUAFtxunPD84FigshJQpHR1RZvhzqOnWgSUnRB0PXrgk9LFHysLfE/3rVx9739QGRSiHHsehUvLH0KA+I9l9JooCIECIKFAgZMBC6nX0bqfmVXASxyVuArQeQEQucXQepYcEQa7+hrl0bmuRk3OzXn4IhA/JxtOIB0b4PwtAvpApUFnIcv5GGt5cdwysLDmHPpUQKiAghZo0CoUreNcbYqexQ1aGqYZbHlFZAqzH68/2z9UnUEmPBEqZXLL8XDL3Tj5bJDMzLwQqf96yP/R+0R/9WAVBbyHEyJh0DVhxHzx8P4t8L8RQQEULMEgVCBsgRMmieENNsAGDlDKRFAxf+hBSVBkMly2RsZujKFaGHJYkls89erMcDosFtqsJKqcDZWxkYujoC3ebupzpEhBCzQ4GQueUJMSqbe9vnw2eyKpOQbDDElsnq3guG8i9TnSFjcLe3xCcv1MWBD9tjRFh12KotcDE+i9ch6jInHBtP3aZK1YQQs0CBkIGUnREyyJJBi6GApQOQfAmI+htSxYIhnkB9dzdZDAuGqOii0bjYqvHBc7V5QDS2Y03YW1rgamI2xq0/jc7f7cNfpykgIoSYNgqEDJAjxNRyqgWlXIn0gnTcyr5V6eODpT0QPOzerJCE8zNKdpNZ1q0LTVoaYvqzYOiS0MOSFEdrFd7rXAsHJ3XA+10D4WitxPWkHIxddxrPzQmnJTNCiMmigoqVXFm6rDe2vMGXxr4J/Qbdq3Wv/MHlpgJz7namf32dvlO9hN1XdJHtLluxHJZ16gg9LEnKyi/CyoM3sGT/dWTm6xP6a3vaYVynmuhS1xNyuUzoIRJCRC6TCiqKPE+IsXYGmg/Wn+/7VtKzQqVFF1nw06ABNOnpvM5Q3vkLQg9LkuwslRjdsSb2f9iBBz92d3OIhq05iRe+P4CdkdTLjBBiGigQMiCD7hwrETIKsLAC4k4C13ZD6hT29jyBmnWt17IZogEDkHfmjNDDkizWzJW15zjwYQeM7lADNioFIu9kYvBPJ9Br/iHsu0yFGQkhwqJAyAgzQlGpUSjSFhnmTWzdgKD+93KFCBR2dvBbthRWQUHQZmXx5bLckyeFHpakOVgrMaFLIA+IhrWrzrfdn4lNR7/lx3il6sPXUoQeIiFEoigQMlCyNFPFvgovrligKcDVNAMW/Gs9BlCogJhDwI2DhnsfM6KwtYX/4kWwbtEC2pwcxAwegtynrAlFKo+TjQqTutXmvcwGtalaWqma9TJ7Y8kRRNxME3qIhBCJoUDIQAUVGblMjvouBs4TYuy99a03mPBvDfc+ZkZuYwO/RQth0yoEutxcxAx9FzlHjgg9LALAzU6NT1+oi/D37zV3PXQthbftGLDiGM7fzhB6iIQQiaBAyEjLYwbNE2JajwPkFsD1vUAszXyUkFtZwXf+fNiEhkKXl4fYd4ch+wDNmpkKTwd9c9c9E8PQt5kfFHIZ9lxK4gnVI9ZG4GpiltBDJISIHAVCRkqYNuiMEONUBWj4mv58P+UKlSW3tITvjz/Atn176AoKcGv4cGTt3Cn0sEgZvk7W+KZ3Q+wc3w49G3tDJgP+ORePLt+FY/yvpxGTkiv0EAkhIkWBkJFmhK6lX0NOUY5h3yx0PCCTA5e3AXdop1RZcpUKvnPnwK5zZ+iKinBr7Dikb9wo9LDIA6q62mDua02wdWwoutbzAKvB+OfJ2+gway8+2nAOdzLyhB4iIURkKBAyMDdrN3jaeEIHHSJTIg37Zi7Vgfqv6M9pB9lDZCoVfL6bDYeXXgI0GtyZNBmpP60WeljkEWp72mPR283w96jWaFvLDcVaHX4+GoN2M/bi800XkJRVIPQQCSEiQYGQAXeNGbWeUInQCfpb1n8sMcrw72dmZBYW8PrqSzj3e4ffT5g2DUk//Ei1bExUQ19H/DSwBX59NwQtqjqjsFiLFQdvoO23e/D11otIyykUeoiEEDNHgZABd40ZrcJ0We51gDov6s/3zzL8+5khmVwO90mT4DpmNL+f/MMPSJg2HTqtVuihkcdgQdD6oS2xZlAwGvk5Iq9Ig4X7riH02z34bsdlZOYbqE4XIUT0KBASU8J0ibYT9bfn/wBSrhnnPc2MTCaD24gR8Pj4Y34/bfVq3Jn8EXTF+r5YxDT/zdrUdMXGEa2wrF8z1PGyR3ZBMebuuoLQb/bgxz1XkVNA/36EkIqhQMgI6rrUhQwyxOfEIyk3yfBv6NUIqPUcoNMC+2cb/v3MmPPbb8H7m68BhQIZf/3Fk6i1+flCD4s8ISDqWMcDW0a3wfw3m6KGuy0y8oowY/slPkO0OPwa8go1Qg+TEGImKBAyAhulDao7VjdenhATendW6Ow6IO2mcd7TTDn07Anf7+fxZOrsXbsQM2AgitOowrGpYx3suzfwwvZxbTGnb2O+4yw1pxDT/rmItjP2YMXBaOQXUUBECPlvFAiJdXnMrzlQLQzQFgMH5xjnPc2YXYcO8F+2FHJ7e+SdOoWbb7yJwlu3hR4WKQdWhLFXEx/seK8tvu3dEL5OVnxX2eebIhE2Yy/WHr2JIg3lfxFCHo0CIbFVmC6r7Qf621NrgMw4472vmbJu3hwBa9fAwtMThdHRuPH6a8iPop135sJCIcerzfywe0IYvnqpPrwcLBGfmY+PN5xHx1n78OfJW9CwwkSEEFIGBUJGUrqFPuU8tCx3xxgCWgP+rQBNIXBwrnHe08ypa9ZEwLpf+K0mKRk333ob2QepJYc5YY1c3wyugr3vh+GzHnXhaqtGTGouxv96Bl3nhOOfc3egpYCIEHIXBUJGUsOpBtQKNbIKsxCTGWO8N273vv42YiWQlWC89zVjSk9PVFm7prRzPetPlvH330IPi1SQ2kKB/q2rIvyDMHz4XG04WClxNTEbI9aeRI8fDmDPxUSqH0UIoUDIGAUVGaVciTrOdYybJ8RUaw/4NAOK84HD3xvvfc2cwt4efkuXwL57N6C4GHEffIjkxUvoF6cZslZZYHhYdez/sD3GdKwJG5UCF+IyMWDlcby66DCORacKPURCiIAoEDJCQUVB84RY98p2d3OFji8HclKM994i6E/mPXMmnPv35/eTZs9G/GefU60hM2VvqcT4zrWw/8MOGNq2GtQWchy/kcaDof4rjuH87Qyhh0gIEQAFQkZk1FYbZdXsoq8txJq+HvnRuO8tgirUHpM+hMdHk3lQmb5+PWJHjIAm28ANdInBONuo8FH3Otj3fnu8EewPC7kMey8l4YXvD2DkzydxPSlb6CESQoyIAiEBAqGo1CgUaYqMOyvU9m6u0NHFQB7VyKko53fegc+8uZCp1cgJ34+b77yNooREoYdFnoGngyWmvdQAO8e3Q8/G3vx/ky1n76Dzd+H48PezuJWWK/QQCSFGQIGQEfna+cJB7YAibREup1027psHPg+41wUKs4Cji4z73iJh37kzqvy0CgpnZxRERuHGa68h/7KR/x1JpQtwtcHc15rgnzGh6FTHnW+xX38iFu1n7sUnG88hPoMqjRMiZhQIGbk1QEme0Nnks8Z9c7n8Xg+yIwuA/Ezjvr9IWDVqhID166CqWhXFd+7wwos5hw8LPSxSCVjvsqX9muOP4a3QuoYLijQ6rDkSw6tUf77pAhKzKCAiRIwoEDKy+i76QOhC8gXjv3ndXoBLTSA/HTi+1PjvLxIqPz8E/PIzrJoFQZudjZghQ5G+caPQwyKVJKiKE9YObol1Q1uiRYAzCou1WHHwBtp+uwfT/4lCSnaB0EMkhFQiCoSMrGRG6EKKAIGQXHFvVujwD0AhJfw+LYWjI/yXLYN99+58e/2dSZORvHARba8XkZbVXLD+3ZZYPagFGvs5Ir9Ii0Xh13lANGP7RaTnFgo9REJIJaBAyMjqudTjt9czriO3SIBkzPq9AaeqQG4KcGKF8d9fRORqNbxnzoDL4EH8ftKcOYj//HPoNNToU0zL2aE13bBhRCus6N8c9X3skVOowY97riH0mz2Ys/MyMvONuPGBEFLpRB8Ipaeno1mzZmjcuDHq16+PJUuWCDoeN2s3uFu78zYbkSmRxh+AwgIIHa8/PzQPKMoz/hhEtr3efeJEeHz8sX57/br1uDV6DLR5dF3FFhC1r+2OTaPaYNHbQajtaYesgmLM2XmFB0Q/7rmKnAKqL0WIORJ9IGRnZ4fw8HCcPn0aR48exbRp05CSkmIaeUJCLI8xDV8DHPyA7ATg5GphxiAyzm+/BZ85cyBTqZC9ezdi+g9AcRqVKRBjQNS1niffYfbDG01Qw90WGXlFmLH9EkK/3YNF+64hr5BmBAkxJ6IPhBQKBaytrfl5QUEBz+EQOo9DkArTZVmogDbj9OcH5wDFlPxZGey7doH/iuWQOzgg78wZ3HztdRTGxgo9LGIAcrkMLzT0xvZxbTGnb2MEuFgjNacQ07de5AHRsgPRyC+igIgQcyB4IMRma3r06AFvb1bQTIaNj9h9w/p+BQQEwNLSEsHBwTh27FiFl8caNWoEX19fvP/++3B1dYWQ6rnWEzYQYhq/Bdh6Apm3gdM/CzcOkbEOCkLAz2th4e2Fwps3ceO115F3QaCZP2JwCrkMvZr48KKM3/ZuCD9nKyRnF+B/myN5UvWqQzdQUEwBESGmTPBAKCcnhwcpLNh5lPXr12P8+PGYOnUqTp48yV/btWtXJCbeq+pbkv/z4BEXF8efd3R0xJkzZxAdHY2ff/4ZCQkJJpEwfSv7FjIKBOpvpLQEWo/Vnx+YDRiz0rXIqatXR8Av66CuXRualBTE9OuP3BMnhB4WMSALhRyvNvPD7glhmP5yA/g4WiExqwBT/76AsBl7sfboTb4NnxBiemQ6odeJymAzQhs2bECvXr1KH2MzQKwD/A8//MDva7Va+Pn5YfTo0Zg0aVKF32PEiBHo0KEDevfu/cjn2fIZO0pkZmby98vIyIC9vT0qy/N/Po+YrBgs6rQIrXxaQRCFucDchkBOEtBrAdD4DWHGIVKa7GzcGjacB0EyS0v4fj8PtqGhQg+LGAGbBfr1xC38uPsq4jP1hRhZcDSmYw283NQXSoXgf4MSInqZmZlwcHB44u9vk/6/sbCwEBEREejUqVPpY3K5nN8/XM5qvmz2Jysri5+zi8GW4gIDAx/7+unTp/MLV3KwIMigy2MpAi6PqayBkFH68/2zAC1N4Vcmha0t/JYugU27ttDl5yN2xEhkbtsm9LCIEagtFHi7ZRXsfT8Mn/WoCzc7NW6n5+HDP86h46x9+D3iFoo1NENEiCkw6UAoOTkZGo0GHh4e9z3O7sfHx5frc9y8eROhoaF8SY3dspmkBg30zU8fZfLkyTxgKjliDZTsWrI8JmieENN8EGDlBKRcBS5sEHYsIiS3tITf99/Dvns3oKgIt8dPQPoffwg9LGIklkoF+reuiv0ftMcnz9eBq60KMam5mPjbGd7cdcOpW7y3GSFEOBYQuRYtWvCt8+WlVqv5wXKW2MECMYNWmBai1UZZajug5Qhgz1dA+Eyg3sv6vmSk0rAt9d4zZkBua4f0X3/FnY8/gSYrCy79+ws9NGLEgGhwaDW8EeyPNUduYuG+64hOzsF768/gh91XMSKsBl5s7E1LZoQIwKT/r2O7u9j29weTm9l9T09Pg773yJEjERkZiePHjxvk89dxrgO5TI7EvEQk5t5L/BZEi6GA2h5IigIubhJ2LCIlUyjg+flncB40kN9P/PobJM37XvBSDsS4rFUWGNq2Op8h+uC5QDhaK3EtKQcTfjuDdt/uwYqD0cgtpMKMhBiTSQdCKpUKQUFB2LVrV+ljLFma3Q8JCYE5s1Zao5pDNdNYHrNyBILf1Z+HzwDol7PBNgOwKtRu4/Q1nJLnz0fSrFkUDEmQjdqCzwKVBESutmrEZeTj802RaP31bszdeQVpOdTLjBBJBELZ2dl86apk+YptcWfnMTEx/D7bOs/aYqxatQpRUVEYPnw433I/YMAAg46LLYvVrVuX71gTbWHFstjymMoWiD8HXN4u9GhEHQy5DntX35IDQMrSZUj6bg4FQxJlZ6nkAdGBD9vjq5fqo4qLNdJyi/Ddzsto9fVufLEpEncyqF0LIaLePr937160b9/+ocf79euHlStX8nO2dX7GjBk8QZrVDJo3bx7fVm9K2++exvqL6/Hl0S/R2rs1FnZeCMHtmAIcnAv4BAGDd/HeWcRwUtesRcKXX/Jzl+HD4DZmDA+UiHSxxOmt5+9gwd5ruBCXyR9TKmR4pakv3m1XHVVdbYQeIiFmo7y/vwUPhEydIQMhlij92pbX4KB2wP6++4X/JZidCMxpCBTnAW/9CdToKOx4JCD1p5+QMG06P3cdORJuo++WMyCSxn4sh19Jxvw9V3E0OpU/JpcBzzf0xoiw6qjjVbk/iwgRI1HUERKSMZbGajrVhFKu5NWlWZVpwdm6A0F3dzJRrpBROL/zDtwnfcjPk3/8EUmPqbBOpIX9UdSulhvWvxuCP4aHoGNtd7Bd9pvOxKHb3P0YtPI4Im5SU19CKgPNCAk4I8S8tvk13oV+RtsZeK7qcxBcZhwwtxGgKQT6bQaqUiVkY0hZthyJM2bwc7dxY+E6bJjQQyImJjIuEwv2XcOWs3E8KGLa1HDFuE410SzAWejhEWJyaEbITJhUwjRj7w00efteDzJiFC6DBsJtwnh+njRnLpIXLRZ6SMTE1PW2x/evN8GuCWHo28wPFnIZDlxNRu+Fh/Hm0iM4dncJjRBSMRQICbg0dl+FaSFbbTyo9RhW+Aa4thuIOyX0aCTDdciQ0q31Sd99R8EQeSSWMP1N74bYMzEMr7fQB0QHr6bg1UWH8caSIzh6PUXoIRJiVmhpTOClsStpV/Dy3y/DysIKh18/DIVcAZPwxxDg3K9AnReBvquFHo2kJC9YgKS58/g5C4zYdntCHic2NRfz917D7xGxKNLof5y3ruGCyd3qoL6Pg9DDI0QwtDRmJlhRRRYE5RXnITojGiajzXv626hNQNJloUcjKa7Dh8Nt7Bh+njRnDpIXmkBpBWKy/JytMf3lBnyGiLXwYNvt2QxRjx8O8J5m8Rn5Qg+REJNGgZDA2AwQa7fBsKRpk+FRFwjszjby6msLEeMHQ+PG3ssZWrBA6CERE+frZI1pLzXA7glheLGRN9/0ybrct5+5F7N3XEZOAbXuIORRKBASOEfIJBOmS7TRJ+/i7DogwwS290sM2zlWmjM0dx6S5s8XekjETGaI5r3eBBtGtEJQFSfkFWkwb9cVHhD9ejyWut0T8gAKhARquvqohGmTmhFi/JoDAaGAthg49IPQo5Eklh/kNl4fkCbP+57qDJFya+LvhN+HhWD+m03h52yFxKwCfPDHWTw/bz92RCZQWxdC7qJAyASUzAhdTL2IIk0RTEpJrlDESiAnWejRSJLr0CGlW+uTv/8BSd//QL/ESLkLM3Zv4IWd49vh4+51YGdpgYvxWRjy0wn0mn8IB6/S/9OEVCgQWr58OQoKCgw3Gonys/ODvcoeRdoiXE43scTk6h0Ar0b6thtHKWlXyK317hMnlFagTpwxk4IhUm5qCwWGtK3Gu92zFh1WSgXOxKbjzaVH8friI1SlmkhahQKhIUOG8G1oJby9vXHjxg1DjEtyf7WVLo8lm9jyGOt/VpIrdGwxkK9vBEmMz2Xw4NJ2HKnLl+POp59Cp9EIPSxiRhytVfjgudoI/6A9+rcKgEohx+HrKXhlwSHetuNC3L2f74RIRYUCoQf/As3KyoJWq4UYGTNZ2qQTppk6PQCXmkB+BhCxQujRSJpL//7w+upLQC5Hxu9/4Pb4CdAWFgo9LGJm3OzU+OzFetjzfhhea+4HhVyGXRcT8fy8AxixNgJXErKEHiIhRkM5QiaQLM3UczXBCtMlWJHHNvrdSzj8I1BEdUmE5PjKK/D57jtAqUTW9u24NXwEtLm5Qg+LmCEfRyt8/UpDnkPEttyzCeB/zsWjy5xwvLf+NG4k5wg9REJMKxBiSzjseNx98vTqu+hnhK6lX+PFFU1Og1cBex8gOwE4vVbo0Uiefdcu8Fu4ADIrK+QcPIiYQYOhKbNsTUhF23awLffbxrbFc/U8eQ2iDaduo+Psffjw97O4lUaBNhGvCi+N1apVC87OzvzIzs5GkyZNSu+XHKTi3K3d4WrlCq1Oy3ePmRwLFdBqtP6cFVjUUHE2odm2bg3/5csgt7dH3qlTuPlOPxQn0y4g8vQCPe2w8O0gbBrVBu0D3XjNofUnYnkNoq+2RCKbijISqfcaW7VqVble169fP4iFoXuNlTVq1yjsu7UPk1pMwpt13oTJKcwBvqsP5KUCrywDGvQWekQEQP6lS/oZoeRkKKv4o8qKFVB6ews9LCICbDfZ7B2XeMsOxt1OjY+fr3N3GY1WA4g4fn9T01UTCoQWnF6A+Wfmo0e1HpgWOg0mae83wN5pgGdD4N1w/a4yIrjCmzcRM3AQim7f5kGQ/8oVUPn7Cz0sIhJ7Libis00XcDNFv0QWXNUZX/Ssz2eQCJFk01UWO504cQK///47/vjjD5w8eVJ0NU2MvWusbMK0yVWYLqv5YMDCCog/C0TvE3o05C5VlSqosmY1vy2Ki8PNt95GwfXrQg+LiET72u7YPq4tJnapBUulHEejU9F93n58vukCMvNNrAgsIRVU4RmhPXv2YNCgQbh582Zp8MOmSKtWrcoLLrZt2xZiYswZoeS8ZLT/tT1kkOHIG0dgrbSGSdoyETi+RF9s8e0NQo+GlFGclISYgQNRcOUqFM7O8F+xHJaBgUIPi4gIS5z+aksUtp6P5/ddbdWY0qMuejT0ouUyIv4ZoatXr+KFF15AQEAA/vzzT0RFRfEt5r/99ht8fX3RvXt3XKe/Qp8aS5ZmSdM66BCVGgWTFTISkMmBa7uB+HNCj4aUYeHmBv+ffoK6bh1oUlN5AnXeORMsyUDMusv9greC8NPAFqjmZoPk7AKM+eUUBq86gbh0E9zxSsgTVCgQmjNnDlq2bIndu3ejZ8+eCAwMRO3atfHyyy/zmaLg4GB8x+qbkKdWUmE6MiUSJsu5KlC3p/780PdCj4Y8wMLJCVVWroRVo0bQZmQgZsAA5J48KfSwiMi0reXGt9uP71yLV6hmBRm7fBeO1YdvQEsd7olYA6G9e/di3Li7hfUewKZE2XMsICJPr65LXdPPE2JajdHfnvsdSI8VejTkAQp7e/gtWwbr5s2hzc7mu8pyDh0SelhEZFQWcozpWBNbxrRBUBUnvr3+078uoM+iw1SdmogzEIqJiUGDBg0e+3z9+vV57hB5eibbc+xBPk2BgFBApwGOLBB6NOQRFLY28Fu8CDatW0OXl4eYoe8i7bffhB4WEaGaHnb47d0QfNGzHmxUCr7tnrXrmLPzMvKLqB8eEVEgxAooWls/PoGXPZdLpf4rZUboZuZNZBdmw6S1Hqu/PbkKyKPu1aZIbmUF3wXzYd+9O1BcjPhPpyBh+tfUrJVUOrlchndCArBjfDt0qO2OQo0Wc3ZeQafZ+7Dt/B3R7Swm4mFR0Q9gydHx8frdAg9Kpqq2z8zFygWeNp6Iz4nnCdPNPY23fb/CanQC3OsCiZHAieVA6AShR0QeQa5SwXvWTKiqV0Py9z8gddUqFNyIhs+sWVDY2go9PCIy3o5WWNavGTafvcN3l91Ky8OwNScRUs2F7y6r42XY3beEGHT7vFwu57lAj/qQksfZrUZEf20ac/t8iXF7xmFXzC5MbDYR/eqZeJXu078AG4cBth7AuHOAhVroEZH/kLl1K+ImTYauoADqmjXhu2ABVL4+Qg+LiFRuYTEW7r2GReHXUVCshVwGvN7CHxO6BMLZRiX08IjIZRpi+3x0dDTfHs9uHzxKHhfL9nkhCiqaXcI0U/8VwM5b34z17HqhR0OewL5bN154kW2zL7hyBTdefZV2lBGDsVZZYHyXQOya0A7PN/QC20y29mgMwmbswfID0SjWaIUeIiHUYsMUZ4QO3j6IYTuHoYp9FWx+aTNMHttC/+8ngEtNYOQxNnUo9IjIExTFxyN2xAgUREZBplTC+9tveJBEiCEdvZ6CzzdFIvJOJr9f29MOn79YD8HVXIQeGhEhg8wIXblyBa+//jr/5A9ib/TGG2+IZkbIVBKmswrNYAtq036A2h5IuQJc3ib0aEg5KD09EbBmDew6d4auqAi3J76PzO3/Cj0sInIs4Nk0ug2mv9wATtZKXIzPQt/FRzBu3SkkZuYLPTwiURUKhGbMmAE/P79HRlYs6mLPsdeQZ+Nk6QRvG3338KgUE64wXcLSHmg2UH9+aJ7QoyHlJLe2hs/cOXB46SVAo8HtCROQtZvqgBHDUshlPE9oz8QwvBnsz/s2bzwdhw6z9mHp/usoouUyYsqB0L59+9CnT5/HPv/qq6/yqtOk8hqwmnSF6bKChwEKFRBzGIg5IvRoSDnJ5HJ4ffk/2D//PN9ef3vsWGTv3y/0sIgEOFqr8NVLDfDXyNZo5OfIizF+uSUKz8/bj2PRqUIPj0hIhQsquru7P/Z5V1dXxMZSlWHJJUwz9l5Aw7768wPUZsWcyBQKeH/zNey6dOHLZLdGjUbO4cNCD4tIRENfR2wY3grfvNKA7yS7nJCNvosP49ttF2l2iJheIMSWv65du/afTVmNlVAsdmYXCDGtWfsVmT5PKMGMxk0gs7CAz8wZsG3fnm+tjx0xErknTgg9LCKhYox9m/tj94R2eLWZL9gWnvl7r6H3gkO4kZwj9PCIyFUoEGrbti2+//7xTTbnzZuH0NDQyhiX5JW02ojNikVGQQbMgmsNoO6L+vMDc4QeDakgmUrFc4ZsQkN5S47Yoe8i99QpoYdFJLZc9m3vRljwZlM4WClx5lYGXyr7I+IWVaYmphEITZ48GVu3bkXv3r1x7NgxvlOMHUePHsUrr7yC7du389eQZ+egdoCvrS8/ZxWmzUab9/S35/8A0m4IPRryFFWofb+fB+uQltDm5iJ2yFDknTsn9LCIxHRr4IWtY0MRXNUZOYUaTPjtDMauO43M/CKhh0akHgg1adIEv//+O8LDwxESEgJnZ2d+tGrVCvv378evv/6Kpk2bGm60El0eM5uEaca7CVCtvb4ZK6svRMyO3NISfj/+CKtmQfrO9QMHIe/MGaGHRSTYquPnIS0xsUstvtPs7zNx6D53P47foERqUrkqXPnuhRde4B3mWUD09ddfY/r06fjjjz9w48YNvPji3WURE8SawVapUgUTJ06Eue0cM/lO9A8KHa+/PbUGyE4UejTkKbfW+y1cpA+GsrJ4MJR7kpbJiHGxAGhUh5r4bVgI/JyteN+yVxcdxpS/ziOLZoeIEIEQ2xrP2k4UFRXhpZdewvvvv48PPvgAvXr14o/Vq1ePzwyZoq+++gotW7aEOTHLGSEmIBTwaQYU5wNHFgg9GvKUFLY28F+8GNYtWkCbk4PYwYORGxEh9LCIBDX1d8I/Y0JLE6l/OnwTXb4Lx66oBKGHRqQWCM2ZMwdDhgx5bEHFd999F7Nnz4apYRWxL168iG5m1kKgjnMdfnsr+5b5JEwzrEJaSa7Q8aVAvhmNnTw8M7RoYWnOUMyQocg5dkzoYREJsrNU8kTqtYOD4e9sjTsZ+Ri06gRG/XwSSVkFQg+PSCUQOnPmDJ577rnHPt+lSxdEVPAvRpZv1KNHD3h7e/PO9Rs3bnxkA9SAgABYWloiODiYJ2pXBFsOY0t45pgw7W/nb37b6JnA7oBrIFCQCZxYLvRoyDOQW1nBb8EC2LRuDR1LoB76LnKOUNFMIozWNVyxfVxbvNu2Gu9mv/nsHXSavQ+/nYilnWXE8IFQQkIClErlY5+3sLBAUlJShQaQk5ODRo0a8WDnUdavX4/x48dj6tSpOHnyJH9t165dkZh4L/ekcePGqF+//kNHXFwc/vrrL9SqVYsf5VFQUMB7qZU9hGS2y2Os8WobVlcIwOH5QBH1ETL3BGrf+T/qt9bn5yP23WHIPnhQ6GERibJSKTC5ex38PaoN6nrZIyOvCO//fhZvLzuG2NRcoYdHxBwI+fj44Pz58499/uzZs/Dy8qrQANhy1Zdffslzjh6FLbWx5bgBAwbw/KSFCxfC2toay5ffm2U4ffo0H9eDB5tlOnLkCNatW8dnlNjM0JIlS/DFF188djxs5ogt85UcrH+aKdQTMrtAiGnQB7D3BXISgdNrhR4NeUZytRq+P/4A23bteNHFW8NHIOcoLZMR4dT3ccBfo1pjUrfaUFvIceBqMs8dWnEwGhotzQ4RAwRC3bt3x6effor8/If/us/Ly+OzNmxXWWUpLCzkS22dOnUqfUwul/P7h8vZAoAFNqztB9vVNnPmTB5UTZky5bGvZ3WQSuojsUPoliFm13OsLIUSaDX6XjNWTbHQIyKVUGfI5/t5+grUhYW4NXo0Cq5eFXpYRMKUCjmGtavO6w61qOqMvCINPt8UiT4LD+FqYpbQwyNiC4Q++eQTpKam8mWmb7/9li87seObb75BYGAgf+7jjz+utMElJydDo9HAw8PjvsfZ/fj4eBiCWq3myeBlDyHVdq7Nb29n30ZafhrMTtN3AGsXfXHFyIfzv4iZBkPfzYZVkybQZmYiZuhQFCVQmQQirGputlg3pCW+7FUftmoLnIxJR/e5B/D9rivUs4xUXiDEApBDhw7x/Bs2c8KWs9jx0Ucf8ccOHDjwUNBiSvr3789nhcqD5SyxpbjmzZtDSHYqOwTYB5jvrJDKGggefq8ZKyUziipnSFWlCorj7iB2+DBosqknFBG+Z9lbLavg3/faon2gGwo1WszacRk9vj+AUzFm+IckMc2Ciqwo4T///MNna1hrDZaDw87ZY1WrVq3UwbFu9gqFgidpl8Xue3p6wpBGjhyJyMhIHD9+HEIz24TpEi0GAypbIOE8cOVfoUdDKomFkxP8liyGwtkZBZFRuP3ee7x7PSGmUJV6ef/mmNO3MZyslbgYn4WXFxzCRxvOIT23UOjhEXMPhEo4OTnx2ZIWLVrwc0NQqVQICgrCrl27Sh/TarX8PmvxYUimMiNktp3oy7JyApoP0p+Hz6RZIRFR+fvDb+ECyCwtkbN/P+K/+IK2MBOTwMqx9Grigx3j2+Hlpj78x87PR2PQYZZ+q72WkqnJswZClSU7O5vv+mIHEx0dzc9jYmL4fbZ1nu30WrVqFaKiojB8+HC+5Z7tIpPKjJBZ7xwr0XIkoFADt44BNw4IPRpSiawaNoTP7Fm8ZEL6b78jZeFCoYdESClXWzVmv9oY64a2RE13W6TmFPKt9n0XH8bFeGHLoxDTIHggdOLECd7MlR0lgQ87L9nZ1bdvX57Xw+6zekEsSNq2bZtJ5yJVtjoudSCDDHdy7iAlLwVmyc4DaPq2/nz/LKFHQyqZXYcO8Pj4I36eNHce0h9RGJUQIbWs5oJ/xoZicrfasFIqcPxGGp6fdwBfbo5EYhbVOZMymY7msR+7NMYOtmvt8uXLfCu9kDvIXtz4IqIzojG/43yE+obCLKXdBOY10XemH7Ib8AkSekSkkiXMmIHUZctZdVVU/eMPWAaWr5ApIcZ0Oz0P/9sUiW0X9LuPlQoZutX3Qr9WAWjq78iX1Yj5YwWRWT3AJ/3+FnxGyFSZ0tKYaJbHnKoADV/Vn+83vZ505Nm5T5jAawyhuBjx/6N8IWKafBytsPDtIKwY0JwHPkUaHf4+E4dXFhxCjx8O4NcTscgv0gg9TGIkFAiZCbNPmC7Bm7HKgIubgcQooUdDKplMLofnp59AZmWFvBMRyNy8ReghEfJY7QPd8eeI1tg0qg36BPlCZSHH+duZ+OD3swiZvgtfb72IuPQ8oYdJDIwCITPYNSaaGSHGLRCo0+NeXSEiOkpvb7i++y4/T/z2W2iys4UeEiH/qYGvA2b0aYQjkzviw+dq8xmjtNwiLNx3DaHf7sHItSdx4kYqzXCKFOUIVdIao6HlFuWi5c8toYMOe17dA1crV5ituFPA4jBApgBGRwDOlVt/ighPW1iI6z16oOhmDJwHDIDHhx8IPSRCyo31KdsZlYCVB2/g8PV7G1Qa+Digf6sAvNDIC2oLhaBjJE9GOUIiY620RjWHauKYFfJuAlTvqE+aZj3IiCjbcHjebbeTuno19SMjZkUhl6FrPU/8MrQlto0LxWvN/XhT13O3MzDhtzNo/fUezNt1BVn5VEBUDCgQMiOiyRNiQifob0+tATLvCD0aYgC2bdvCtkMHfeL0l1/RsgIxS7U97fH1Kw1xeHJHvN81EJ72lkjOLsDsHZfR9ts9WBJ+nRKrzRwFQmaSI3RfJ/pkM58RYqq0AvxaAppC4PAPQo+GGIjHR5MhU6mQe+QIsrZtE3o4hDw1ZxsVRravgf0ftse815ugmpsNzyP66p8otJuxB2uO3KTmrmaKcoTMJEeIOZV4Cu9sfQfuVu7Y9eq9tiNm6/K/wM99AKUN8N55wNpZ6BERA0j6/gck//gjLDw9UX3LZshtbIQeEiHPrFijxYZTtzFn5xVel4jxd7bGe51r4sVGPnx5jQiLcoREKNApEHKZHIl5iUjKTYLZq9kZ8GwAFOUAR6ktg1i5DBkMpa8viuPjkbxwkdDDIaRSWCjk6NPMD7sntsPnL9bjrTxiUnPx3vozvMErbbs3HxQImRFRJUwzrHprSa7QscVAYY7QIyIGILe05EtkTMrKlSi4Hi30kAipNGz3GKtIHf5BGN96b2dpgTOx6ejx/QEcupos9PBIOVAgZGZElTDN1HkRcKoK5KUBp9YKPRpiIKzatE3bUKCoCAnTpgk9HEIqnbXKAsPDquOfMaGo522PlJxCvLXsKBaHX6ONAiaOAiEzSpYWVWHFEnIFEDJSf86SpjXFQo+IGADr3cS30yuVyDlwAHnnzgk9JEIMws/ZGn8Mb4XeQb7Q6oBp/1zEqJ9PIbuAfraZKgqEzKTX2KNmhETzV0bjNwErZyD9JnBxk9CjIQaiqlIF9t2e4+dpa9YIPRxCDMZSqcCM3g3xZa/6vKHrlnN30OvHg7iWRFXWTREFQmYm0DkQCpkCyXnJSMxNhCiorIEWQ/TnB+cBYgnwyEOc33qL32b+sxXFKfcq9hIixlnQt1pWwfp3Q+Bhr8bVxGz0/OEgdkYmCD008gAKhMyMlYUVqjmKKGG6RPMhgIUlEHcSuHlI6NEQA7Fq2BCWDRtCV1SE9F9/FXo4hBhcU38nbB4diuCqznx57N01Edhw6pbQwyJlUCBkhkryhESTMM3YugGNXtefU9sNUXN+601+m/bLOh4QESJ2bnZqrBkcjFea+vI+ZuN/PcMLMBLTQIGQGSrJExLVjBATMopNKAOXtwFJl4QeDTEQu+eeg8LFBcWJicjauVPo4RBiFEqFnOcN9Qupwlf/P9l4Hov2XRN6WIQCIfOfERJNwjTjWgOo/bz+/ND3Qo+GGLAhq1PfV/l56loqmUCkQy6X4bMX62FEWHV+f/rWi5j17yVx/Rw3QxQImdn2eaaWUy2eMJ2an4qEXJEl3rUarb89ux7IEtnXRko59n0NsLBA3okI5F+8KPRwCDFqEvUHz9XGB88F8vvf776KLzZHQsv22hNBUCBkZtvnGUsLS9RwrCG+PCHGvyXg20LfjPUYtWMQK6WHO+w6d+LnqbSVnkjQiLAa+F9P/ez+ioM3MOnPszx/iBgfBUJmqqQT/YVkkQVCZWeFji8DCqjuhui30m/ajOK0NKGHQ4jRvR0SgFl9GoH1Z/31xC0MWHkcqTmFQg9LcigQMlN1ne8mTKeKLGGaYXlCztWA/HTgFM0WiJVV06ZQ16kDXUEBMv74Q+jhECKIV4J8Mf/NIFgq5Qi/nITn5+3HyRj6w8CYKBAy8xmhyORI8SXa8bYbbAcZgCM/UtsNEedKlG6l//kX6DQaoYdEiCCeq++JjSNbo6qrDe5k5OPVhYex4mC0+H62mygKhMxUTaeasJBZIK0gDfE58RCdxm8A1i5AegwQ9ZfQoyEGYv/881A4OqIoLg7Ze/YIPRxCBFPb0x5/j2qN5xt4oVirw+ebInmPsqx8qrVlaBQImSm1Qs2DIVEmTDNKK6DFUP350cVCj4YYiNzSEo59evPz1DW0lZ5Im52lEj+80QRTe9Qt7VH24g8HcTE+U+ihiRoFQmZMtIUVSwT1B2QKIPYIkEhbrMXK6bXXWIEV5B45goIrV4QeDiGCLxkPaF2V9yjzdrBEdHIOb9jKKlHTUplhUCBkhnWEHtWJXpTsPIFa+m7lOPmT0KMhBqL08YFdxw78nAosElKmR9mYULSt5Yb8Ii2vRD1o1QkkZRUIPTTRoUDIDOsIib7CdFlB/fS3Z34BiukHgFg5vanfSp/x9yZosrKEHg4hJsHZRoWV/Zvjk+frQGUhx+6LiXhuTjh2UAf7SkWBkLknTMstkFGQgbicOIhSjU6AvQ+QlwpEbRJ6NMRArINbQFW9OnS5ucj4+2+hh0OISbXlGBxaDZtGtUFtTzuk5BRiyE8nMOmPs8gpoB21lYECITOmUqh4uw3RFlYs2UrfRD9bgIiVQo+GGDAvgucKAUhft068M5yEPKVATzv8Nao1hratBpkMWHc8Ft3n7UfETao59KwoEDJzok+YZnggJANu7AdSqFuzWDn06gmZlRUKrlxFXkSE0MMhxOSoLRT4qHsd/Dy4JU+kvpmSi1cXHca+y0lCD82sUSBk5srmCYmWoz9Qo6P+nJKmRUthZweHF57n52m/rBN6OISYrJDqLtg6ri261vPg/clG/XwS15OoHdHTokBIJDNCUalR4l5OaHo3afr0z4CGCoyJlePd5bHMf/9FcUqK0MMhxGQ5WCkx7/UmCKrihKz8Ygz+6QQyqfjiU6FAyMxVc6gGuUzOE6aT85IhWoHdABt3ICcRuLRV6NEQA7GqVw+WDRsCRUVI/536jxHypKWyBW81hZeDJa4n5WDsL6eog/1ToEDIzFlaWMLfzp+fX0kXcTE6hRJoou9LhZOrhB4NMaDSpOn166n/GCFP4G5nicVvN4PaQo49l5IwY/sloYdkdigQEoGSVhtX0kQcCDFN39HfXt2l70FGRMm+ezfIHRz0/cf27xd6OISYvAa+Dvi2d0N+vnDfNfx1+rbQQzIrkgiEAgIC0LBhQzRu3Bjt27eH2NR01AdCV9OvQtScqwFV2wLQAafWCD0aYsj+Y7168fN0SpompFx6NvbBsHbV+fkHv5/FuVsZQg/JbEgiEGIOHTqE06dPY48IO1zXcKohjRmhsknTLBDS0rKJWDm+1pffZoeHo/AW/XVLSHm83zUQHWq7o6BYi6GrTyAxK1/oIZkFyQRCYlYyI3Qt/Rq0Oi1ErU4PwMoZyLwNXN0p9GiIgairVoV1SEtAp0P6r78KPRxCzIJCLsOc1xqjupsN7mTkY/iakyjSiPx3ghgCofDwcPTo0QPe3t68uuzGjRsf2QCVLW9ZWloiODgYx44dq9B7sM/brl073kB1rQibOvrZ+UGtUCNfk49bWbcgahZqoNHr+vMISpoWM6fX9f/O6X/8AV1hodDDIcQs2FsqseSdZrCztOBVp5cdiBZ6SCZP8EAoJycHjRo14sHOo6xfvx7jx4/H1KlTcfLkSf7arl27IjExsfQ1LPenfv36Dx1xcfr+WwcOHEBERAT+/vtvTJs2DWfPnoWYKOQKvo1e9DvHHmzEenkbkBUv9GiIgdh16AALd3doUlKQuWOH0MMhxGxUc7PFlBf0Nea+23EZN5JzhB6SSRM8EOrWrRu+/PJLvPTSS498fvbs2RgyZAgGDBiAunXrYuHChbC2tsby5ctLX8Nyf86fP//QwWaZGB8fH37r5eWF7t2784DqcQoKCpCZmXnfYQ4ks3OMcQsE/NiyiQY4Q8m0YiWzsIBjnz78PO2XX4QeDiFmpXeQL1rXcOH5Qh9tOCfugrvmHgj9l8LCQj6T06lTp9LH5HI5v3/48OFyzzhlZWXx8+zsbOzevRv16unbUjzK9OnT4eDgUHr4+fnBHNRwrCGNnWMlGvTW316hmQIxc3y1D6BQIO9EBPIvXxZ6OISYDZYSMu2lBrBUynHoWgp+ixB52oRYA6Hk5GRoNBp4eHjc9zi7Hx9fviWRhIQEtGnThi+ptWzZEu+88w7PFXqcyZMnIyMjo/SIjY2FOc0IXU2TSCBUvYP+NvYIUKAPdIn4KD08YNehfWlXekJI+VVxscH4zrX4+VdbopCUVSD0kEySSQdClaFatWo4c+YMP9hy2dixY//z9Wq1Gvb29li9ejUPnDp2vNvs00xmhG5k3kChRgKJpS7VAacAQFsMRFPRPSkkTWds/Auau7O7hJDyGdi6Kur72CMjrwifbxJxc26xBkKurq5QKBR8Vqcsdt/T09Og7z1y5EhERkbi+PHjMAce1h6wU9lBo9MgOkMiuwRq3F0yvbZL6JEQA7IOCYGqenVoc3ORsWGD0MMhxKxYKOT4+uWGfGv95rN3sDPy/t+nxMQDIZVKhaCgIOzade8XnVar5fdDQkIM+t5sFxtLzv6vZTRTWw8uqSckiZ1jTPWO91puENFi39vOb7/Fz1PXrIVOS3VRCKmI+j4OGBxalZ9/+td5ZFGXetMKhFgCM9v1xQ4mOjqan8fE6HtJsa3zS5YswapVqxAVFYXhw4fzBGi2i8yQzG1GSJJ5QlVDAbkFkBYNpF4XejTEgBxefBFye3sUxcQge98+oYdDiNkZ17EWqrhY80KL1JjVxAKhEydOoEmTJvwoCXzY+ZQpU/j9vn37YubMmfw+qxfEgqRt27Y9lEBN7uUJSWZGSG2n30bP0KyQqMmtreHYW79TMG019ZkjpKKsVAq+i4xZfeQmIm6mCj0kkyF4IBQWFsbrGzx4rFy5svQ1o0aNws2bN3mNn6NHj/Lq0oZmbktjkpwRYmrc3T12bbfQIyEG5vTGG6x+BnIOHULBVQl9jxNSSVrXcEWfIF/WuQaT/jiHwmJaZjaJQMhUmePSWMmMUFxOHLILsyGpPKHocKBYArvlJEzl6wO7jvrAN1WErXIIMYaPn68DV1sVriRmY8l+SilgKBASEQe1A9yt3aVVWNGzIWDtCrDA71bFetAR8+P01tv3ttJnZAg9HELMjqO1igdDzLxdVxCTkgupo0BIZCS3c0wuv1dckfKERM+6RXOoAwOhy8tD+h9/Cj0cQsxSr8Y+pe03Pv3rvOTbb1AgJKIcoftabUgqT+ju8hjVE5LUVvq0tWuh02iEHhIhZvn/0f961odKIce+y0n455y0m1dTICSiHKH7mq9KZUaIKZkRunMGyE4SejTEwOxfeAEKBwcU3b6N7D17hB4OIWbboX54WHV+zipOZ0q4thAFQiJTw+nuFvq0K9KZ7rR1Bzz120Jp95j4yS0t4fjqq/w8lbbSE/LUWCBU1dUGiVkFmP2vdJsaUyAkMtUdqkMGGdIL0pGSnyL0cIy/e4yWxyTB6Y3XeVf63KNHkX9Juj/ACXkWlkoFvuxVn5+vOnwDZ2+lQ4ooEBJZjpClhSX87f1LZ4Wklye0m/VhEXo0xMCUXl6w69yZn6etoVkhQp6ltlCvxt68ttBHG85Bo5XISkIZFAiJLEeo7M4xyWyhZ1iFaaUNkJMEJJwTejTECEqSpjP+/hvFaWlCD4cQs/Xx83Vhb2mB87cz8dPhG5AaCoREnickGRYqfe8xhrbRS4JV06awrFsXuoICZPxJXekJeVpudmpM6qavLTTr38uIz8iHlFAgJEKSnBG6L0+IEqalsgXYoVcvfp5z7KjQwyHErL3W3A9N/R2RXVCM938/g4Ji6ZSmoEBIxDNCLBDS6rTSyxOKOQIUSKTFiMRZNdTvFsy/ECmdXZKEGIBcLsO0lxtAbSHH/ivJGLHmpGSCIQqERJYszfjb+UMlVyGvOA+3s29DMpyrAY5VAG0RcGO/0KMhRqCuXZvvHtMkJ6M4IUHo4RBi1mp72mNZv+Y8GNp1MRHDJRIMUSAkwmRpC7kFqjlWk16ekEx2b1aI8oQkU1NIXUM/A5p/4YLQwyHE7LWp6Yrl/fXB0G6JBEMUCIlUaasNqeUJ1eikv6V6QpJhWa8ev6VAiJDK21K/vH9zWCr1wdCw1RHILxJvMESBkEiVttqQ0owQExAKyC2A1OtAarTQoyFGYFmvLr/No0CIkMoNhvrpg6E9l5IwbI14gyEKhERKsjNClvaA7928rpsHhR4NMQKr+vrKuPnnL1DCNCGVqFWZYGjvpSS8K9KZIQqERKqWUy1+eyPjBoo0Emum59lQf5sYJfRIiBGoAwP1CdMpKZQwTYghgqH++mCIdar/dON5iA0FQiLcNcZ4WHvATmmHYl0xojMltkTkri8MRoGQNFDCNCGG1aq6K99Nxvaj/BZxC0eui6uPJQVCItw1VlJsrrSeUNpVaQZCSReFHgkxcsJ03nnx/bVKiKnkDL3eQt/H8pON51FYLJ4adRQISSBP6Eq6xBKm3WrrbzNvA/kZQo+GGIFlfdo5Roihfdi1NlxsVLiamI2lB65DLCgQksDOMcnNCFk5AnZe+vOkS0KPhhiBVekWeqowTYihOFgr8VF3/Yz7vF1XEJuaCzGgQEjEfGx9+G18bjwkpzRPKFLokRBjJ0zHS/D7nRAjebmpD4KrOiO/SIvPN4ljBpYCIRFzs3Ljt0m5SZAct5JAiPKEJJMwXVM/A0rLY4QYNv/0y171YSGXYWdUIv69YP5/eFAgJGJu1vpAKDU/FcXaYkiK+908oSTaOSYVVFiREOOo6WGHoW31bZw+3xSJ3ELz/v1CgZCIOamdIJfJoYOOB0OSQjNC0m21cZ4CIUIMbXSHmvB1ssLt9DzM3WXeG3IoEBIxhVwBF0sXfp6UJ7HlMbdA/W12PJArsSBQ6hWmL1CFaUIMzUqlwOcv6v/4WLY/Gpfis2CuKBASaUHFEq5Wrvw2OTcZkmu14eCnP6d6QtJJmLawgCY1lRKmCTGCjnU80KWuB4q1Onyy8Ry0WvP8A4QCIZEWVHwwT0hyM0Jl6wlRhWlJkKvVpRWmqbAiIcYx9cV6sFIqcPxGGjadjYM5okBIKjvHpBgIlSZM04yQ1BKmaecYIcbh42iFIaFV+fnms3dgjigQEjnJLo3dlzBNM0LSyxOi+lGEGEuXep789tDVZLNsvUGBkMhJe0aIAiHp7hw7TwnThBhJXS97uNqqkVOowYkb5rc5hQIhkXO11s8IpeSJq1twhXaOsdmwHAnOiEk5YTotDcV3zHOanhBzI5fL0K6W/o/uvZfN749uCoRETtIzQiobwLGK/pxmhaSTMH23wjQVViTEeMIC7wZClxJhbigQkkqOUF6yNJcKSpbHKGFaMihhmhDjC63pCrkMuJyQjbj0PJgTCoQkEggVaYuQUZAByaHmq9LtRE8VpgkxGkdrFZr4O/HzvZfMawVCEoFQdHQ02rdvzwskNmjQADk5OZAKlUIFB7WDdJfHqNWGdBOmqcI0IUYVVss8l8ckEQj1798fX3zxBS+QuG/fPqjVakiJpPOEyjZfpV+KkkAJ04QIIyzQnd8eNLNt9KIPhC5cuAClUonQ0FB+39nZGRYWFpBqnpDkuNYCZHIgLw3INq+/UkglJExThWlCjKaeN9tGrzK7bfSCB0Lh4eHo0aMHvL29IZPJsHHjxkf2/QoICIClpSWCg4Nx7Nixcn/+K1euwNbWlr9H06ZNMW3aNEhN6YxQrgRnhJRWgFPVe7NCRGIJ05QbRogxt9G3NcNt9IIHQixfp1GjRjzYeZT169dj/PjxmDp1Kk6ePMlf27VrVyQm3vvrvnHjxqhfv/5DR1xcHIqLi7F//37Mnz8fhw8fxo4dO/ghxVpCkpwRYqiwoqQ70RNCjL88tteM8oQEXyPq1q0bPx5n9uzZGDJkCAYMGMDvL1y4EFu2bMHy5csxadIk/tjp06cf+/E+Pj5o1qwZ/Pz0nci7d+/OX9+5c+dHvr6goIAfJTIzM2HuJJ0jVNJ89eJmCoQkXGGazTYTQgyv7QPb6L0drWDqBJ8R+i+FhYWIiIhAp06dSh+Ty+X8PpvdKY/mzZvz2aO0tDRotVq+FFenzt0ZgkeYPn06HBwcSo+SAMqcSXppjKFaQpKjrlVLnzCdno7iOPPsiE2IuW6jb+znaFbb6E06EEpOToZGo4GHh8d9j7P78fHx5focLDGa5QW1bdsWDRs2RM2aNfHCCy889vWTJ09GRkZG6REbGwtzJ+lk6fuWxi7SzjEpJUzXogrThAghzMyWx0w6EKosbOnt3LlzOH/+PF9q+y9sa729vT1Wr16Nli1bomPHjjB3btYSXxpzqQHIFAArKJlJswOSK6xICdOEGFV7M9tGb9KBkKurKxQKBRISEu57nN339PQ06HuPHDmS1x06fvw4xLI0llech5wi6RSTLGWhBlyq689p55hkOA8YiKp//QW30aOEHgoh0t1Gf9P0t9GbdCCkUqkQFBSEXbt2lT7G8nzY/ZCQEEHHZk6sldawtrCW9vIYS5hmqMK0ZKirVYVlYC3IJFY3jBBT2ka/zwzyhAQPhLKzs/kurpKdX6wdBjuPiYnh99nW+SVLlmDVqlWIiorC8OHD+Zb7kl1khsK287OWHCzZWgxK8oQoYZpmhAghxHh5QkkwdYL/qXTixAneB6wEC3yYfv36YeXKlejbty+SkpIwZcoUniDNagZt27btoQRqQyyNsYNtn2e7x8QQCMVkxUh3RohqCRFCiNG30V9KyDL5bfSCB0JhYWFPbIw4atQofpCnJ/mE6ZLmq0mX9DvHqK4MIYQYfBv9yZh07LuchNdb+MNUCb40ZqrEtjQm+aKKLFlargQKs4EM8y+JQAghpi7MTLbRUyAkgV1j99USypXo0phCqd9Gz1DCNCGEGFxYoP4P8INXU0x6Gz0FQhIh+aUxhhKmCSHEaOp7O/Bt9NkFxYi4mQZTRYGQRJbGJF9dmqGEaUIIMeo2+uCqLvz87K10mCoKhCSyNCb5HKH7aglRIEQIIcYQ6GnHb9nuMVNFgZBElARCGQUZKNQUQtIzQsmXWWVOoUdDCCHSCYTiKRAiAnNQO0DJdk1JeXnMqSqgUANFuUD6DaFHQwgholf7biB0JTEbxRrT/AOUAiGJ5AjJZLJ71aWlujymsADcAvXn8eeFHg0hhIien5M1rJQKvmvsRkouTBEFQhLJESq7PCbZLfSMVyP97Z0zQo+EEEIkkTBdy8PWpJfHKBCSENo5RoEQIYQYW6CJJ0xTICQhkl8aY7wa628pECKEEKMI9LTnt5fiM2GKKBCSEFdrmhGCRz1AJgdyEoGseKFHQwghkkmYvkRLY+ZFbMnSDNUSAqCyBlzvJkzTrBAhhBhcLQ99IHQzNRe5hcUwNRQISTBZOilXwoEQQ3lChBBiNG52arjYqKDTAVcTs2FqKBCSEFoau8urof6WAiFCCDFqwvRFE1weo0BIQkpmhFLyU6DRaiBZNCNECCFGFWjCeUIUCEmIs6UzZJBBq9MircB0OwEbnGcD/W1GLJCTIvRoCCFE9GpTIERMgYXcggdDkHqekKUD4FxNfx5Ps0KEEGKshGlaGjMjYtw1xrhZ084xjpbHCCHE6IFQcnYBUrILYEooEJLQrjGGqks/GAidFXokhBAiejZqC/g7W5tkhWkKhCSGttDfRTNChBBiVKaaME2BkMRQm427PO8GQqnXgHzTLPtOCCFiUpsCIWJKOUKSXxqzcQHsffXn8eeEHg0hhEgmT+gSLY0RIVGOUBm0PEYIIUafEbocnwWtVgdTQYGQRHOEKBCiQIgQQowpwNUGKoUcOYUa3E7Pg6mgQEiqOUK5SdCxxi9SRoEQIYQYjVIhR3V3W5OrJ0SBkERzhAq1hcgslHiScEkglHwJKMwVejSEECJ6gR76QOiyCeUJUSAksYKKaoUadqq7ha2kvjxm5wnYuAM6LZAYKfRoCCFE9AI97fktzQiZAbEWVLyvlpDUt9DLZGU60Z8WejSEECKhLfSZMBUUCEkQFVUsg/KECCHE6EUVryfloLBYC1NAgZAEuVrTFvpSFAgRQojReDlYws7SAsVaHa4lZcMUUCAkQbQ09ohAKCESKC4UejSEECJqMpkMgXcLK5pKwjQFQlIuqphLM0JwrAJYOgDaIiApSujREEKIZJbHLppIwjQFQhJEM0IPJkzT8hghhEi15xgFQhJE/cYeUBoInRV6JIQQIpkt9JcoECJCoQ70j+lETzNChBBicCU5QqzNRlZ+EYRGgZCEl8ZyinKQW0QVlUtnhFgXeq1G6NEQQoioOVgr4WlvaTIJ06IPhC5duoTGjRuXHlZWVti4cSOkzEZpA0uF/pswJS9F6OEIz6U6oLQBivOA5CtCj4YQQkQv0IQSpkUfCAUGBuL06dP8OHDgAGxsbNC5c2dIffsiLY+VIVcAng3057Q8RgghkkqYFn0gVNbff/+Njh078mBI6koSpikQuot2jhFCiNHQjFAZ4eHh6NGjB7y9vflMxaOWrVgD1ICAAFhaWiI4OBjHjh17qvf69ddf0bdv30oYtYhqCdHOMT0KhAghxGhqlSmqqNPpIOlAKCcnB40aNeLBzqOsX78e48ePx9SpU3Hy5En+2q5duyIxMbH0NSz3p379+g8dcXFxpa/JzMzEoUOH0L179/8cT0FBAX9t2UOMqN/Y4xKmzwJa0+h/QwghYlXD3RYKuQzpuUVIzCoQdCwWgr47gG7duvHjcWbPno0hQ4ZgwIAB/P7ChQuxZcsWLF++HJMmTeKPsfyfJ/nrr7/QpUsXPqv0X6ZPn47PP/8cYkdLYw9wCwQUaqAgE0i/CThXFXpEhBAiWpZKBQJcrHEtKYfnCXnc3UUmyUDovxQWFiIiIgKTJ08ufUwul6NTp044fPhwhZfFhg4d+sTXsfdiM1Al2IyQn58fxObF6i+irW9beNp4Cj0U06BQAv3+BpyrAbbuQo+GEEJEb+5rTeBko4K3g3BBkMkHQsnJydBoNPDw8LjvcXb/4sWL5f48GRkZPK/ojz/+eOJr1Wo1P9hSHTvY+4uRu7U7P0gZ/i2FHgEhhEhGfR8HmALBc4SMwcHBAQkJCVCpVOX+mJEjRyIyMhLHjx836NgIIYQQIhyTDoRcXV2hUCh4EFMWu+/pSUs6hBBCCBFxIMRmcIKCgrBr167Sx7RaLb8fEhJi0Pdmy2J169ZF8+bNDfo+hBBCCJFwjlB2djauXr1aej86OprvAnN2doa/vz9PXO7Xrx+aNWuGFi1aYM6cOXzLfckuMkNhS2PsYMnSbGmNEEIIIeIjeCB04sQJtG/fvvR+yY4tFvysXLmSF0BMSkrClClTEB8fz2sGbdu27aEEakIIIYSQipLphC7paKLK7hq7fPky33lmb28v9LAIIYQQUg4lKzpP+v1NgVAlXUhCCCGEmN/vb5NOliaEEEIIMSQKhB6Ddo0RQggh4kdLY09AS2OEEEKI+aGlMUIIIYSQJ6BAiBBCCCGSRYHQY1COECGEECJ+lCP0BJQjRAghhIj397fglaVNXUmcyC4oIYQQQsxDye/tJ833UCD0BCkpKfzWz89P6KEQQgghpIKysrL+s2coBUJPwJq/MjExMdR89W6EzYLC2NhYWiq8i67J/eh6PIyuyf3oejyMrknlXw82E8SCIG9v7/98HQVCTyCX6/PJWRBE35z3sGtB1+N+dE3uR9fjYXRN7kfX42F0TSr3epRnAoN2jRFCCCFEsigQIoQQQohkUSD0BGq1GlOnTuW3hK7Ho9A1uR9dj4fRNbkfXY+H0TUR7npQHSFCCCGESBbNCBFCCCFEsigQIoQQQohkUSBECCGEEMmiQIgQQgghkkWB0BM60AcEBMDS0hLBwcE4duwYpCI8PBw9evTgFTllMhk2btx43/Msx37KlCnw8vKClZUVOnXqhCtXrkCspk+fjubNm8POzg7u7u7o1asXLl26dN9r8vPzMXLkSLi4uMDW1havvPIKEhISIEYLFixAw4YNS4udhYSEYOvWrZK8Fo/z9ddf8/93xo0bJ8nr8tlnn/Gvv+xRu3ZtSV6Lsm7fvo233nqLf93sZ2eDBg1w4sQJSf5sDQgIeOh7hB3s+8KY3yMUCD3G+vXrMX78eL597+TJk2jUqBG6du2KxMRESEFOTg7/mlkw+Cjffvst5s2bh4ULF+Lo0aOwsbHh14d944rRvn37+P+QR44cwY4dO1BUVIQuXbrw61Tivffew6ZNm/Dbb7/x18fFxeHll1+GGPn6+vJf9BEREfyHeIcOHdCzZ09cuHBBctfiUY4fP45FixbxYLEsqV2XevXq4c6dO6XHgQMHJHstmLS0NLRu3RpKpZL/4RAZGYlZs2bByclJkj9bjx8/ft/3B/vZyvTp08e43yNs+zx5WIsWLXQjR44sva/RaHTe3t666dOn66SGfZts2LCh9L5Wq9V5enrqZsyYUfpYenq6Tq1W63755RedFCQmJvLrsm/fvtKvX6lU6n777bfS10RFRfHXHD58WCcFTk5OuqVLl0r+WmRlZelq1qyp27Fjh65du3a6sWPH8seldl2mTp2qa9So0SOfk9q1KPHhhx/q2rRp89jnpf6zdezYsbrq1avz62DM7xGaEXqEwsJC/pcum5Is23OM3T98+DCkLjo6GvHx8fddH9bPhS0fSuX6ZGRk3NeUl32/sFmisteELQP4+/uL/ppoNBqsW7eOz46xJTIpXwuGzRw+//zz9339jBSvC1vSYcvr1apVw5tvvsmbV0v1WjB///03mjVrxmc82BJ7kyZNsGTJktLnpfyztbCwEGvWrMHAgQP58pgxv0coEHqE5ORk/sPdw8PjvsfZffZNKnUl10Cq10er1fK8DzbFXb9+ff4Y+7pVKhUcHR0lc03OnTvH1+1Z5ddhw4Zhw4YNqFu3riSvRQkWELKldJZT9iCpXRf2y3vlypXYtm0bzyljv+RDQ0N5N3CpXYsS169f59eiZs2a2L59O4YPH44xY8Zg1apVkPrP1o0bNyI9PR39+/fn9435PULd5wl5ir/4z58/f1++gxQFBgbi9OnTfHbs999/R79+/fg6vlTFxsZi7NixPM+BbbCQum7dupWes1wpFhhVqVIFv/76K08CliL2RxSbEZo2bRq/z2aE2M8Slg/E/v+RsmXLlvHvGTaDaGw0I/QIrq6uUCgUD2Wns/uenp6QupJrIMXrM2rUKGzevBl79uzhCcMl2NfNpnbZXzRSuSbsr7UaNWogKCiIz4Cw5Pq5c+dK8lowbCqfbaZo2rQpLCws+MECQ5b4ys7ZX7JSvC4l2F/2tWrVwtWrVyX7PcJ2grFZ07Lq1KlTumQo1Z+tN2/exM6dOzF48ODSx4z5PUKB0GN+wLMf7rt27bovkmf3WQ6E1FWtWpV/I5a9PpmZmXyHg1ivD8sZZ0EQW/7ZvXs3vwZlse8XthOk7DVh2+vZDzixXpMHsf9HCgoKJHstOnbsyJcL2SxZycH++me5MSXnUrwuJbKzs3Ht2jUeDEj1e4Qtpz9YduPy5ct8pkyqP1uZFStW8JwplltXwqjfI5Waei0i69at45n6K1eu1EVGRuqGDh2qc3R01MXHx+ukgO18OXXqFD/Yt8ns2bP5+c2bN/nzX3/9Nb8ef/31l+7s2bO6nj176qpWrarLy8vTidHw4cN1Dg4Our179+ru3LlTeuTm5pa+ZtiwYTp/f3/d7t27dSdOnNCFhITwQ4wmTZrEd8xFR0fzf392XyaT6f7991/JXYv/UnbXmNSuy4QJE/j/L+x75ODBg7pOnTrpXF1d+Y5LqV2LEseOHdNZWFjovvrqK92VK1d0a9eu1VlbW+vWrFlT+hqp/WzVaDT8+4DtqHuQsb5HKBD6D99//z3/R1CpVHw7/ZEjR3RSsWfPHh4APXj069ePP8+2N3766ac6Dw8PHjB27NhRd+nSJZ1YPepasGPFihWlr2E/qEaMGMG3kbMfbi+99BIPlsRo4MCBuipVqvD/N9zc3Pi/f0kQJLVrUZFASErXpW/fvjovLy/+PeLj48PvX716VZLXoqxNmzbp6tevz39u1q5dW7d48eL7npfaz9bt27fzn6WP+hqN9T0iY/+p3DkmQgghhBDzQDlChBBCCJEsCoQIIYQQIlkUCBFCCCFEsigQIoQQQohkUSBECCGEEMmiQIgQQgghkkWBECGEEEIkiwIhQgghhEgWBUKEEEIIkSwKhAgh94mNjcXAgQPh7e3NGxCzhpBjx45FSkqK0EMjhJBKR4EQIaTU9evXeZf0K1eu4JdffsHVq1excOFC3gGadXxOTU0VeoiEEFKpKBAihJQaOXIknwX6999/0a5dO/j7+6Nbt27YuXMnbt++jY8//rj0tTKZDBs3brzv4x0dHbFy5cr7ZpdeffVV/rizszN69uyJGzdulD4fFhaGcePG3fc5evXqhf79+5feLygowMSJE+Hj4wMbGxsEBwdj7969//l1xMTE8PeytbWFvb09H0NCQsJ9r9m0aROaN28OS0tLuLq64qWXXrrvPT/88EP4+flBrVajRo0aWLZsGX+OfX3s6ymLXQd2PUp89tlnaNy4MRYtWsQ/h7W1NR9DRkZG6WuOHz+Ozp078/d2cHDg1/vkyZP3fV72OZcuXcrHxj5HzZo18ffff9/3mgsXLuCFF17gX6ednR1CQ0Nx7do1hIeHQ6lUIj4+/r7Xs+vNXkMI0aNAiBDCsdme7du3Y8SIEbCysrrvOU9PT7z55ptYv349ytunuaioCF27duW/nPfv34+DBw/ywOS5555DYWFhucc1atQoHD58GOvWrcPZs2fRp08f/jnYrNWjaLVaHgSxr2ffvn3YsWMHn+nq27dv6Wu2bNnCg4vu3bvj1KlTfMarRYsWpc+/8847fEZs3rx5iIqK4gENG3tFsNm0X3/9lQdc27Zt4+/Drm2JrKws9OvXDwcOHMCRI0d4kMPGwx4v6/PPP+dBFPva2fPs36FkZo4Fp23btuXB2u7duxEREcGXNYuLi/nj1apVw+rVq+/7N1m7di1/DSHkrkrvZ08IMUtHjhxhEY5uw4YNj3x+9uzZ/PmEhAR+/1GvdXBw0K1YsYKfr169WhcYGKjTarWlzxcUFOisrKx027dv5/fbtWunGzt27H2fo2fPnrp+/frx85s3b+oUCoXu9u3b972mY8eOusmTJz9ynP/++y//mJiYmNLHLly4wMd77Ngxfj8kJET35ptvPvLjL126xF+7Y8eORz7Pvj72dZbFrkPZH6dTp07lY7h161bpY1u3btXJ5XLdnTt3Hvl5NRqNzs7OTrdp06bSx9jn/OSTT0rvZ2dn88fY52LYNahataqusLDwkZ/zm2++0dWpU6f0/h9//KGztbXln4cQokczQoSQ+zxpxoctnZXHmTNn+KwImxFisynsYMtj+fn5fOmmPM6dOweNRoNatWqVfg52sJmex30ONoPDlqPYUaJu3bp8OYs9x5w+fRodO3Z85Mez5xQKBV+qehZsWZEt55VgOVZsturSpUv8PluqGzJkCJ8JYktjbGkrOzubL+uV1bBhw9JztjTIXpeYmFg6VrbMxZbAHoUtMbJ/AzbjVLKsx2aX2OchhOhZ3L0lhEgcy4NhOSksWCibL1OCPe7m5laaH8Ne+2DQxJZeSrBf6kFBQXwp5kHs8zByufyJn4MFJWzJh92WVdGlqrIeXPor73PlGXN5sWUxthNv7ty5fGceW95iwdKDy4YPBjnsurOAqjxjdXd3R48ePbBixQpUrVoVW7dufWJ+FSFSQzNChBDOxcWFJ+/Onz8feXl59z3HEm5ZQFM2iZkFM3fu3Cm9z3J2cnNzS+83bdqUP8Z+GbMgq+zBZkAe9TnY7M/58+dL7zdp0oQ/xmZAHvwcLG/pUerUqcOTtNlRIjIyEunp6XxmqGSWheUFPUqDBg14oMFmnR6FjZnl8eTk5JQ+xmZmHsRmduLi4krvs1kZFkQFBgby+yxnasyYMTzvp169ejwQSk5ORkWwr4PlX/1XIDZ48GCe27V48WJUr14drVu3rtB7ECJ6d5fICCFEd/nyZZ2rq6suNDRUt2/fPp5nw/JR6tevr2vcuLEuKyur9LWvvfYazz85efKk7vjx47oOHTrolEplaY5QTk6OrmbNmrqwsDBdeHi47vr167o9e/boRo8erYuNjeWvWbhwoc7a2lq3efNmXVRUlG7IkCE6e3v70hwhhuXyBAQE8PwW9jmOHj2qmzZtGv+YR2E5SWys7GuIiIjgrw8KCuL5SCXYOFi+zpQpU3SRkZG6s2fP6r7++uvS5/v376/z8/PjuT8l416/fj1/LiUlRWdjY6MbM2aM7urVq7q1a9fqvL29H8oRYq/p1KmT7vTp0/zrr1WrFr9mJZo0aaLr3Lkzf3+Wn8XGy/Knvvvuu9LXPCkPKzk5Wefi4qJ7+eWX+b8B+/f76aefdBcvXrwv94h9LSqV6r6vkRCiR4EQIeQ+0dHRPBDx8PDQyWQy/suY/aJlgU1ZLIG5S5cu/Bc+C3j++eef+35JMywx+J133uHBlVqt1lWrVo0HOxkZGfx5luQ7fPhwnbOzs87d3V03ffr0+5KlS17DAhYWDLFAy8vLS/fSSy/x4OVxWJL1iy++yMfGEpD79Omji4+Pv+81LLBiARMLENj42NdYIi8vT/fee+/x92LP16hRQ7d8+fLS51lwwh5jgcsLL7ygW7x48UOBUKNGjXTz58/nQZKlpaWud+/eutTU1NLXsACyWbNm/Dl2/X777TddlSpVKhQIMWfOnOH/DiygZF8rC6iuXbt238d8+umnPHk7Li7usdeMEKmSsf8IPStFCDFdU6dOxezZs/k29JYtWwo9HLPA6gix2kKPWjITwqBBg5CUlPRQDSJCCCVLE0KegNWxCQgI4DkurNYOy3Mh5oEVcGQ7737++WcKggh5DAqECCFPNGDAAKGHQJ4CKyx57NgxDBs2jCfCE0IeRktjhBBCCJEsmuMmhBBCiGRRIEQIIYQQyaJAiBBCCCGSRYEQIYQQQiSLAiFCCCGESBYFQoQQQgiRLAqECCGEECJZFAgRQgghBFL1f0C8V8E3iXIIAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = diamond.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:06.266763Z",
     "start_time": "2024-07-09T20:49:06.132637Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:07.972530Z",
     "iopub.status.busy": "2025-09-28T07:00:07.972530Z",
     "iopub.status.idle": "2025-09-28T07:00:08.056572Z",
     "shell.execute_reply": "2025-09-28T07:00:08.056572Z",
     "shell.execute_reply.started": "2025-09-28T07:00:07.972530Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = diamond.simulator.show_average_queues(sort=True, as_time=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Trying to reach an extreme feasible solution with a greedy policy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we would like to have a greedy policy that tries to move on towards the extreme feasible solutions. Sadly, no such policy exists (cf https://hal.archives-ouvertes.fr/hal-03502084)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Yet, we can try to approach them with priority-based greedy selection. First, look at the extreme points (vertices)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:06.288643Z",
     "start_time": "2024-07-09T20:49:06.269772Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:08.057580Z",
     "iopub.status.busy": "2025-09-28T07:00:08.057580Z",
     "iopub.status.idle": "2025-09-28T07:00:08.069604Z",
     "shell.execute_reply": "2025-09-28T07:00:08.069604Z",
     "shell.execute_reply.started": "2025-09-28T07:00:08.057580Z"
    }
   },
   "outputs": [
    {
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       "// CSS will be automatically injected into the page.\n",
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       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"2.2\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"1.2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"1\", \"title\": \"3\"}]);\n",
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diamond = sm.CycleChain(rates=[2, 2.2, 1.2, 1])\n",
    "for i in range(len(diamond.vertices)):\n",
    "    diamond.show_vertex(i)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the first vertex prioritizes edges 1 and 3, while the second one prioritizes edges 0 and 4. Let us see what happens if one uses these priorities in a greedy policy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:09.305854Z",
     "start_time": "2024-07-09T20:49:06.290652Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:08.070609Z",
     "iopub.status.busy": "2025-09-28T07:00:08.070609Z",
     "iopub.status.idle": "2025-09-28T07:00:10.167644Z",
     "shell.execute_reply": "2025-09-28T07:00:10.167644Z",
     "shell.execute_reply.started": "2025-09-28T07:00:08.070609Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-2369c806-325a-49b9-95db-7e73a288e8f7\">\n",
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       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-2369c806-325a-49b9-95db-7e73a288e8f7 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
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       "max-height: 100vh !important;\n",
       "}\n",
       "#2369c806-325a-49b9-95db-7e73a288e8f7 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"2.2\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"1.2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"1\", \"title\": \"3\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"1.07\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"0.933\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"0.2\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 3)\", \"label\": \"0.931\", \"color\": \"blue\", \"from\": 1, \"to\": 3}, {\"title\": \"4: (2, 3)\", \"label\": \"0.0693\", \"color\": \"blue\", \"from\": 2, \"to\": 3}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('2369c806-325a-49b9-95db-7e73a288e8f7');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-2369c806-325a-49b9-95db-7e73a288e8f7').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diamond.run(\"priority\", weights=[0, 1, 0, 1, 0], n_steps=10000000)\n",
    "diamond.show_flow()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:12.141275Z",
     "start_time": "2024-07-09T20:49:09.309879Z"
    },
    "execution": {
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     "shell.execute_reply.started": "2025-09-28T07:00:10.168654Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-00f0cf85-5aa6-42fc-bc51-d74416ae2c10\">\n",
       "<div id=\"00f0cf85-5aa6-42fc-bc51-d74416ae2c10\"></div>\n",
       "<a href=\"#\" id=\"fit-00f0cf85-5aa6-42fc-bc51-d74416ae2c10\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-00f0cf85-5aa6-42fc-bc51-d74416ae2c10 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#00f0cf85-5aa6-42fc-bc51-d74416ae2c10 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"2.2\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"1.2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"1\", \"title\": \"3\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"1.73\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"0.272\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"0.198\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 3)\", \"label\": \"0.27\", \"color\": \"blue\", \"from\": 1, \"to\": 3}, {\"title\": \"4: (2, 3)\", \"label\": \"0.73\", \"color\": \"blue\", \"from\": 2, \"to\": 3}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('00f0cf85-5aa6-42fc-bc51-d74416ae2c10');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-00f0cf85-5aa6-42fc-bc51-d74416ae2c10').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diamond.run(\"priority\", weights=[1, 0, 0, 0, 1], n_steps=10000000)\n",
    "diamond.show_flow()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Not bad, but not perfect. To reach a vertex, we may need to use a filtering policy."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Trying to reach an extreme feasible solution with a filtering policy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:12.154455Z",
     "start_time": "2024-07-09T20:49:12.144285Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:12.563060Z",
     "iopub.status.busy": "2025-09-28T07:00:12.562058Z",
     "iopub.status.idle": "2025-09-28T07:00:12.568528Z",
     "shell.execute_reply": "2025-09-28T07:00:12.568528Z",
     "shell.execute_reply.started": "2025-09-28T07:00:12.563060Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[{'kernel_coordinates': array([-0.25]),\n",
       "  'edge_coordinates': array([1. , 1. , 0.2, 1. , 0. ]),\n",
       "  'null_edges': [4],\n",
       "  'bijective': True},\n",
       " {'kernel_coordinates': array([0.75]),\n",
       "  'edge_coordinates': array([2. , 0. , 0.2, 0. , 1. ]),\n",
       "  'null_edges': [1, 3],\n",
       "  'bijective': False}]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diamond.vertices"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first kernel is bijective, we just need to forbid the null edge."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:17.530017Z",
     "start_time": "2024-07-09T20:49:12.157474Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:12.569535Z",
     "iopub.status.busy": "2025-09-28T07:00:12.569535Z",
     "iopub.status.idle": "2025-09-28T07:00:16.536513Z",
     "shell.execute_reply": "2025-09-28T07:00:16.536513Z",
     "shell.execute_reply.started": "2025-09-28T07:00:12.569535Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diamond.run(\n",
    "    \"longest\", forbidden_edges=diamond.vertices[0][\"null_edges\"], n_steps=10000000\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:17.542935Z",
     "start_time": "2024-07-09T20:49:17.533088Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:16.537519Z",
     "iopub.status.busy": "2025-09-28T07:00:16.537519Z",
     "iopub.status.idle": "2025-09-28T07:00:16.542617Z",
     "shell.execute_reply": "2025-09-28T07:00:16.542617Z",
     "shell.execute_reply.started": "2025-09-28T07:00:16.537519Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-335bab2a-a5ed-470b-9f3a-495eeb645522\">\n",
       "<div id=\"335bab2a-a5ed-470b-9f3a-495eeb645522\"></div>\n",
       "<a href=\"#\" id=\"fit-335bab2a-a5ed-470b-9f3a-495eeb645522\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-335bab2a-a5ed-470b-9f3a-495eeb645522 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#335bab2a-a5ed-470b-9f3a-495eeb645522 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"2.2\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"1.2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"1\", \"title\": \"3\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"0.999\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"0.202\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 3)\", \"label\": \"0.999\", \"color\": \"blue\", \"from\": 1, \"to\": 3}, {\"title\": \"4: (2, 3)\", \"label\": \"0\", \"color\": \"orange\", \"from\": 2, \"to\": 3}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('335bab2a-a5ed-470b-9f3a-495eeb645522');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-335bab2a-a5ed-470b-9f3a-495eeb645522').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diamond.show_flow()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can check that the matching rate on edge 4 is 0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:17.555990Z",
     "start_time": "2024-07-09T20:49:17.544946Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:16.544148Z",
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     "iopub.status.idle": "2025-09-28T07:00:16.554155Z",
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     "shell.execute_reply.started": "2025-09-28T07:00:16.544148Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.00047808, 0.99915264, 0.20158848, 0.99878016, 0.        ])"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diamond.simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "No noticeable impact on the performance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:18.207380Z",
     "start_time": "2024-07-09T20:49:17.559001Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:16.555344Z",
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     "shell.execute_reply.started": "2025-09-28T07:00:16.555344Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = diamond.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:18.342174Z",
     "start_time": "2024-07-09T20:49:18.209387Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:16.896698Z",
     "iopub.status.busy": "2025-09-28T07:00:16.896698Z",
     "iopub.status.idle": "2025-09-28T07:00:16.978054Z",
     "shell.execute_reply": "2025-09-28T07:00:16.978054Z",
     "shell.execute_reply.started": "2025-09-28T07:00:16.896698Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = diamond.simulator.show_average_queues(sort=True, as_time=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we try on the second kernel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:19.869449Z",
     "start_time": "2024-07-09T20:49:18.344182Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:16.980061Z",
     "iopub.status.busy": "2025-09-28T07:00:16.979063Z",
     "iopub.status.idle": "2025-09-28T07:00:17.882344Z",
     "shell.execute_reply": "2025-09-28T07:00:17.882344Z",
     "shell.execute_reply.started": "2025-09-28T07:00:16.980061Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diamond.run(\n",
    "    \"longest\", forbidden_edges=diamond.vertices[1][\"null_edges\"], n_steps=10000000\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:19.889990Z",
     "start_time": "2024-07-09T20:49:19.871426Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:17.883373Z",
     "iopub.status.busy": "2025-09-28T07:00:17.883373Z",
     "iopub.status.idle": "2025-09-28T07:00:17.891836Z",
     "shell.execute_reply": "2025-09-28T07:00:17.891836Z",
     "shell.execute_reply.started": "2025-09-28T07:00:17.883373Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-72f2b9a8-b0ad-4c6f-8a9d-013719012cfa\">\n",
       "<div id=\"72f2b9a8-b0ad-4c6f-8a9d-013719012cfa\"></div>\n",
       "<a href=\"#\" id=\"fit-72f2b9a8-b0ad-4c6f-8a9d-013719012cfa\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-72f2b9a8-b0ad-4c6f-8a9d-013719012cfa {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#72f2b9a8-b0ad-4c6f-8a9d-013719012cfa {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"2.2\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"1.2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"1\", \"title\": \"3\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"2\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"0\", \"color\": \"orange\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"0.2\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 3)\", \"label\": \"0\", \"color\": \"orange\", \"from\": 1, \"to\": 3}, {\"title\": \"4: (2, 3)\", \"label\": \"0.999\", \"color\": \"blue\", \"from\": 2, \"to\": 3}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('72f2b9a8-b0ad-4c6f-8a9d-013719012cfa');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-72f2b9a8-b0ad-4c6f-8a9d-013719012cfa').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diamond.show_flow()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So this is unstable but the the matching rate on edges 1 and 3 is 0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:19.903933Z",
     "start_time": "2024-07-09T20:49:19.893996Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:17.892842Z",
     "iopub.status.busy": "2025-09-28T07:00:17.892842Z",
     "iopub.status.idle": "2025-09-28T07:00:17.899899Z",
     "shell.execute_reply": "2025-09-28T07:00:17.899899Z",
     "shell.execute_reply.started": "2025-09-28T07:00:17.892842Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.99957622, 0.        , 0.20045326, 0.        , 0.99910573])"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diamond.simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Performance is bad, as the vertex is injective-only (bipartite)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:20.627046Z",
     "start_time": "2024-07-09T20:49:19.905942Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:17.900905Z",
     "iopub.status.busy": "2025-09-28T07:00:17.900905Z",
     "iopub.status.idle": "2025-09-28T07:00:18.323427Z",
     "shell.execute_reply": "2025-09-28T07:00:18.323427Z",
     "shell.execute_reply.started": "2025-09-28T07:00:17.900905Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = diamond.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:20.830153Z",
     "start_time": "2024-07-09T20:49:20.631061Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:18.324456Z",
     "iopub.status.busy": "2025-09-28T07:00:18.324456Z",
     "iopub.status.idle": "2025-09-28T07:00:18.405757Z",
     "shell.execute_reply": "2025-09-28T07:00:18.405757Z",
     "shell.execute_reply.started": "2025-09-28T07:00:18.324456Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = diamond.simulator.show_average_queues(sort=True, as_time=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Many solutions exist in that case. For example, use a k-filtering policy (i.e. with threshold)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:24.521945Z",
     "start_time": "2024-07-09T20:49:20.836168Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:18.406785Z",
     "iopub.status.busy": "2025-09-28T07:00:18.406785Z",
     "iopub.status.idle": "2025-09-28T07:00:20.483820Z",
     "shell.execute_reply": "2025-09-28T07:00:20.483820Z",
     "shell.execute_reply.started": "2025-09-28T07:00:18.406785Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diamond.run(\n",
    "    \"longest\",\n",
    "    forbidden_edges=diamond.vertices[1][\"null_edges\"],\n",
    "    k=500,\n",
    "    n_steps=10000000,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:24.531266Z",
     "start_time": "2024-07-09T20:49:24.523953Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:20.484851Z",
     "iopub.status.busy": "2025-09-28T07:00:20.484851Z",
     "iopub.status.idle": "2025-09-28T07:00:20.490529Z",
     "shell.execute_reply": "2025-09-28T07:00:20.490529Z",
     "shell.execute_reply.started": "2025-09-28T07:00:20.484851Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-c206f4ec-77bf-4481-a03e-b0fa02c29e4c\">\n",
       "<div id=\"c206f4ec-77bf-4481-a03e-b0fa02c29e4c\"></div>\n",
       "<a href=\"#\" id=\"fit-c206f4ec-77bf-4481-a03e-b0fa02c29e4c\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-c206f4ec-77bf-4481-a03e-b0fa02c29e4c {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#c206f4ec-77bf-4481-a03e-b0fa02c29e4c {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"2.2\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"1.2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"1\", \"title\": \"3\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"2\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"0.00153\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"0.2\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 3)\", \"label\": \"0.000197\", \"color\": \"blue\", \"from\": 1, \"to\": 3}, {\"title\": \"4: (2, 3)\", \"label\": \"0.999\", \"color\": \"blue\", \"from\": 2, \"to\": 3}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('c206f4ec-77bf-4481-a03e-b0fa02c29e4c');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-c206f4ec-77bf-4481-a03e-b0fa02c29e4c').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diamond.show_flow()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So this is stable with a limited matching rate on edges 1 and 3."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:24.553594Z",
     "start_time": "2024-07-09T20:49:24.534791Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:20.491583Z",
     "iopub.status.busy": "2025-09-28T07:00:20.491583Z",
     "iopub.status.idle": "2025-09-28T07:00:20.501088Z",
     "shell.execute_reply": "2025-09-28T07:00:20.500582Z",
     "shell.execute_reply.started": "2025-09-28T07:00:20.491583Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.9995712e+00, 1.5276800e-03, 1.9951488e-01, 1.9712000e-04,\n",
       "       9.9900160e-01])"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diamond.simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Performance is controlled by the threshold."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:25.049639Z",
     "start_time": "2024-07-09T20:49:24.557056Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:20.502095Z",
     "iopub.status.busy": "2025-09-28T07:00:20.502095Z",
     "iopub.status.idle": "2025-09-28T07:00:20.731088Z",
     "shell.execute_reply": "2025-09-28T07:00:20.731088Z",
     "shell.execute_reply.started": "2025-09-28T07:00:20.502095Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = diamond.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:25.223578Z",
     "start_time": "2024-07-09T20:49:25.052645Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:20.732095Z",
     "iopub.status.busy": "2025-09-28T07:00:20.732095Z",
     "iopub.status.idle": "2025-09-28T07:00:20.813164Z",
     "shell.execute_reply": "2025-09-28T07:00:20.813164Z",
     "shell.execute_reply.started": "2025-09-28T07:00:20.732095Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = diamond.simulator.show_average_queues(sort=True, as_time=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Reward maximization variant"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In many use cases, one may want to optimize the flow based on some reward associated to each edge. It turns out that this equivalent to finding a subset of edges to forbid such that the flow(s) on that subgraph will maximize the reward. `stochastic_matching` automatically implements this in two ways:\n",
    "- It gives an optimal flow associated to a vector of rewards;\n",
    "- Filtering policies can take a vector of rewards as arguments and automatically discard the null edges of one optimal solution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:25.236028Z",
     "start_time": "2024-07-09T20:49:25.225589Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:20.814193Z",
     "iopub.status.busy": "2025-09-28T07:00:20.814193Z",
     "iopub.status.idle": "2025-09-28T07:00:20.821193Z",
     "shell.execute_reply": "2025-09-28T07:00:20.821193Z",
     "shell.execute_reply.started": "2025-09-28T07:00:20.814193Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2. , 0. , 0.2, 0. , 1. ])"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rewards = [2, 1, 2, 1, 2]\n",
    "diamond.optimize_rates(rewards)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:25.484167Z",
     "start_time": "2024-07-09T20:49:25.239040Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:20.822582Z",
     "iopub.status.busy": "2025-09-28T07:00:20.822582Z",
     "iopub.status.idle": "2025-09-28T07:00:20.964042Z",
     "shell.execute_reply": "2025-09-28T07:00:20.964042Z",
     "shell.execute_reply.started": "2025-09-28T07:00:20.822582Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diamond.run(\"longest\", rewards=rewards, k=300, forbidden_edges=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:25.499019Z",
     "start_time": "2024-07-09T20:49:25.486182Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:20.966051Z",
     "iopub.status.busy": "2025-09-28T07:00:20.965054Z",
     "iopub.status.idle": "2025-09-28T07:00:20.972106Z",
     "shell.execute_reply": "2025-09-28T07:00:20.971096Z",
     "shell.execute_reply.started": "2025-09-28T07:00:20.966051Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-2b2872cb-0c4e-4c5c-9cd9-864cabd5230b\">\n",
       "<div id=\"2b2872cb-0c4e-4c5c-9cd9-864cabd5230b\"></div>\n",
       "<a href=\"#\" id=\"fit-2b2872cb-0c4e-4c5c-9cd9-864cabd5230b\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-2b2872cb-0c4e-4c5c-9cd9-864cabd5230b {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#2b2872cb-0c4e-4c5c-9cd9-864cabd5230b {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"2.2\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"1.2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"1\", \"title\": \"3\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"2\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"0.00243\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"0.199\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 3)\", \"label\": \"0.000672\", \"color\": \"blue\", \"from\": 1, \"to\": 3}, {\"title\": \"4: (2, 3)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 2, \"to\": 3}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('2b2872cb-0c4e-4c5c-9cd9-864cabd5230b');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-2b2872cb-0c4e-4c5c-9cd9-864cabd5230b').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diamond.show_flow()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:26.071979Z",
     "start_time": "2024-07-09T20:49:25.502036Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:20.973103Z",
     "iopub.status.busy": "2025-09-28T07:00:20.972106Z",
     "iopub.status.idle": "2025-09-28T07:00:21.271680Z",
     "shell.execute_reply": "2025-09-28T07:00:21.271680Z",
     "shell.execute_reply.started": "2025-09-28T07:00:20.973103Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = diamond.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:26.264583Z",
     "start_time": "2024-07-09T20:49:26.077558Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:21.272708Z",
     "iopub.status.busy": "2025-09-28T07:00:21.272708Z",
     "iopub.status.idle": "2025-09-28T07:00:21.355932Z",
     "shell.execute_reply": "2025-09-28T07:00:21.355932Z",
     "shell.execute_reply.started": "2025-09-28T07:00:21.272708Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = diamond.simulator.show_average_queues(sort=True, as_time=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fish"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The purpose of this example is to show a case where a family of greedy with priorities can asymptotically reach the vertices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:26.276100Z",
     "start_time": "2024-07-09T20:49:26.266595Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:21.356938Z",
     "iopub.status.busy": "2025-09-28T07:00:21.356938Z",
     "iopub.status.idle": "2025-09-28T07:00:21.367138Z",
     "shell.execute_reply": "2025-09-28T07:00:21.366131Z",
     "shell.execute_reply.started": "2025-09-28T07:00:21.356938Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-44c7508f-2b1d-4738-b5b5-b58ead8382a1\">\n",
       "<div id=\"44c7508f-2b1d-4738-b5b5-b58ead8382a1\"></div>\n",
       "<a href=\"#\" id=\"fit-44c7508f-2b1d-4738-b5b5-b58ead8382a1\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-44c7508f-2b1d-4738-b5b5-b58ead8382a1 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#44c7508f-2b1d-4738-b5b5-b58ead8382a1 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"1\", \"title\": \"0: 1\"}, {\"id\": 1, \"label\": \"2\", \"title\": \"1: 2\"}, {\"id\": 2, \"label\": \"3\", \"title\": \"2: 3\"}, {\"id\": 3, \"label\": \"4\", \"title\": \"3: 4\"}, {\"id\": 4, \"label\": \"5\", \"title\": \"4: 5\"}, {\"id\": 5, \"label\": \"6\", \"title\": \"5: 6\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (1, 2)\", \"label\": \"\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (1, 3)\", \"label\": \"\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (2, 3)\", \"label\": \"\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (3, 4)\", \"label\": \"\", \"from\": 2, \"to\": 3}, {\"title\": \"4: (3, 6)\", \"label\": \"\", \"from\": 2, \"to\": 5}, {\"title\": \"5: (4, 5)\", \"label\": \"\", \"from\": 3, \"to\": 4}, {\"title\": \"6: (5, 6)\", \"label\": \"\", \"from\": 4, \"to\": 5}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('44c7508f-2b1d-4738-b5b5-b58ead8382a1');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-44c7508f-2b1d-4738-b5b5-b58ead8382a1').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fish = sm.KayakPaddle(\n",
    "    l=0, m=4, names=[str(i) for i in range(1, 7)], rates=[4, 4, 3, 2, 3, 2]\n",
    ")\n",
    "fish.show_graph()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Look at the vertices:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:26.293644Z",
     "start_time": "2024-07-09T20:49:26.278109Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:21.368144Z",
     "iopub.status.busy": "2025-09-28T07:00:21.367138Z",
     "iopub.status.idle": "2025-09-28T07:00:21.376670Z",
     "shell.execute_reply": "2025-09-28T07:00:21.376670Z",
     "shell.execute_reply.started": "2025-09-28T07:00:21.368144Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-3f3e1b42-cccc-4c7d-a6c0-28f302c727e3\">\n",
       "<div id=\"3f3e1b42-cccc-4c7d-a6c0-28f302c727e3\"></div>\n",
       "<a href=\"#\" id=\"fit-3f3e1b42-cccc-4c7d-a6c0-28f302c727e3\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-3f3e1b42-cccc-4c7d-a6c0-28f302c727e3 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#3f3e1b42-cccc-4c7d-a6c0-28f302c727e3 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"1\", \"title\": \"0: 1\"}, {\"id\": 1, \"label\": \"2\", \"title\": \"1: 2\"}, {\"id\": 2, \"label\": \"3\", \"title\": \"2: 3\"}, {\"id\": 3, \"label\": \"4\", \"title\": \"3: 4\"}, {\"id\": 4, \"label\": \"5\", \"title\": \"4: 5\"}, {\"id\": 5, \"label\": \"6\", \"title\": \"5: 6\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (1, 2)\", \"label\": \"3\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (1, 3)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (2, 3)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (3, 4)\", \"label\": \"\", \"color\": \"orange\", \"from\": 2, \"to\": 3}, {\"title\": \"4: (3, 6)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 2, \"to\": 5}, {\"title\": \"5: (4, 5)\", \"label\": \"2\", \"color\": \"blue\", \"from\": 3, \"to\": 4}, {\"title\": \"6: (5, 6)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 4, \"to\": 5}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('3f3e1b42-cccc-4c7d-a6c0-28f302c727e3');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-3f3e1b42-cccc-4c7d-a6c0-28f302c727e3').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
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       "</script>\n"
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       "<IPython.core.display.HTML object>"
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       "</a>\n",
       "<style>\n",
       "#box-a60be1df-18a4-423b-9c15-8b7f2ff34d9a {\n",
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       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#a60be1df-18a4-423b-9c15-8b7f2ff34d9a {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"1\", \"title\": \"0: 1\"}, {\"id\": 1, \"label\": \"2\", \"title\": \"1: 2\"}, {\"id\": 2, \"label\": \"3\", \"title\": \"2: 3\"}, {\"id\": 3, \"label\": \"4\", \"title\": \"3: 4\"}, {\"id\": 4, \"label\": \"5\", \"title\": \"4: 5\"}, {\"id\": 5, \"label\": \"6\", \"title\": \"5: 6\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (1, 2)\", \"label\": \"3\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (1, 3)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (2, 3)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (3, 4)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 2, \"to\": 3}, {\"title\": \"4: (3, 6)\", \"label\": \"\", \"color\": \"orange\", \"from\": 2, \"to\": 5}, {\"title\": \"5: (4, 5)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 3, \"to\": 4}, {\"title\": \"6: (5, 6)\", \"label\": \"2\", \"color\": \"blue\", \"from\": 4, \"to\": 5}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('a60be1df-18a4-423b-9c15-8b7f2ff34d9a');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-a60be1df-18a4-423b-9c15-8b7f2ff34d9a').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(len(fish.vertices)):\n",
    "    fish.show_vertex(i, disp_rates=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Weighted matching"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us try to nullify the edge between 3 and 6 with adapted priorities. As this may be unstable, let us pick a large max queue."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:29.129668Z",
     "start_time": "2024-07-09T20:49:26.295656Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:21.377677Z",
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     "shell.execute_reply.started": "2025-09-28T07:00:21.377677Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rewards = [0, 2, 2, 1, 0, 0, 1]\n",
    "fish.run(\"priority\", weights=rewards, n_steps=10000000, max_queue=1000000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:29.140035Z",
     "start_time": "2024-07-09T20:49:29.132691Z"
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     "shell.execute_reply.started": "2025-09-28T07:00:23.412834Z"
    }
   },
   "outputs": [
    {
     "data": {
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       "\n",
       "<div class=\"sm-graph\" id=\"box-cfcde092-5444-4f8c-b459-676cc679ef33\">\n",
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       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
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       "#box-cfcde092-5444-4f8c-b459-676cc679ef33 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
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       "#cfcde092-5444-4f8c-b459-676cc679ef33 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"1\", \"title\": \"0: 1\"}, {\"id\": 1, \"label\": \"2\", \"title\": \"1: 2\"}, {\"id\": 2, \"label\": \"3\", \"title\": \"2: 3\"}, {\"id\": 3, \"label\": \"4\", \"title\": \"3: 4\", \"color\": \"red\"}, {\"id\": 4, \"label\": \"5\", \"title\": \"4: 5\"}, {\"id\": 5, \"label\": \"6\", \"title\": \"5: 6\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (1, 2)\", \"label\": \"2.91\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (1, 3)\", \"label\": \"1.09\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (2, 3)\", \"label\": \"1.09\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (3, 4)\", \"label\": \"0.821\", \"color\": \"blue\", \"from\": 2, \"to\": 3}, {\"title\": \"4: (3, 6)\", \"label\": \"3.6e-06\", \"color\": \"blue\", \"from\": 2, \"to\": 5}, {\"title\": \"5: (4, 5)\", \"label\": \"0.996\", \"color\": \"blue\", \"from\": 3, \"to\": 4}, {\"title\": \"6: (5, 6)\", \"label\": \"2\", \"color\": \"blue\", \"from\": 4, \"to\": 5}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
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       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
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       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-cfcde092-5444-4f8c-b459-676cc679ef33').addEventListener('click', function(event) {\n",
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       "});\n",
       "</script>\n"
      ],
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     },
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   ],
   "source": [
    "fish.show_flow(disp_rates=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Threshold-based weighting"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So we managed to almost nullify the edge at the price of making node 4 unstable (it cannot check the conservation law). This can be addressed by using a threshold above which the policy is altered."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:29.165512Z",
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     "shell.execute_reply.started": "2025-09-28T07:00:23.418152Z"
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   },
   "outputs": [],
   "source": [
    "counterweights = [0, 1, 1, 2, 0, 0, 2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:32.296060Z",
     "start_time": "2024-07-09T20:49:29.166562Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:23.432485Z",
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     "shell.execute_reply.started": "2025-09-28T07:00:23.432485Z"
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   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fish.run(\n",
    "    \"priority\",\n",
    "    weights=rewards,\n",
    "    n_steps=10000000,\n",
    "    threshold=500,\n",
    "    counterweights=counterweights,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:32.306381Z",
     "start_time": "2024-07-09T20:49:32.298736Z"
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     "shell.execute_reply.started": "2025-09-28T07:00:25.309650Z"
    }
   },
   "outputs": [
    {
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       "<a href=\"#\" id=\"fit-2fd745c1-c5ca-4f92-9e43-a6455bf5d85e\"\n",
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       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-2fd745c1-c5ca-4f92-9e43-a6455bf5d85e {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#2fd745c1-c5ca-4f92-9e43-a6455bf5d85e {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
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       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
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       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"1\", \"title\": \"0: 1\"}, {\"id\": 1, \"label\": \"2\", \"title\": \"1: 2\"}, {\"id\": 2, \"label\": \"3\", \"title\": \"2: 3\"}, {\"id\": 3, \"label\": \"4\", \"title\": \"3: 4\"}, {\"id\": 4, \"label\": \"5\", \"title\": \"4: 5\"}, {\"id\": 5, \"label\": \"6\", \"title\": \"5: 6\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (1, 2)\", \"label\": \"3\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (1, 3)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (2, 3)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (3, 4)\", \"label\": \"0.999\", \"color\": \"blue\", \"from\": 2, \"to\": 3}, {\"title\": \"4: (3, 6)\", \"label\": \"2.34e-05\", \"color\": \"blue\", \"from\": 2, \"to\": 5}, {\"title\": \"5: (4, 5)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 3, \"to\": 4}, {\"title\": \"6: (5, 6)\", \"label\": \"2\", \"color\": \"blue\", \"from\": 4, \"to\": 5}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
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       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
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       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-2fd745c1-c5ca-4f92-9e43-a6455bf5d85e').addEventListener('click', function(event) {\n",
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       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fish.show_flow(disp_rates=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And that's it! The threshold controls the trade-off between the size of queue 4 and the nullity of edge (3, 6)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:32.957311Z",
     "start_time": "2024-07-09T20:49:32.310390Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:25.314875Z",
     "iopub.status.busy": "2025-09-28T07:00:25.314875Z",
     "iopub.status.idle": "2025-09-28T07:00:25.660254Z",
     "shell.execute_reply": "2025-09-28T07:00:25.660254Z",
     "shell.execute_reply.started": "2025-09-28T07:00:25.314875Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = fish.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:33.139331Z",
     "start_time": "2024-07-09T20:49:32.961325Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:25.661261Z",
     "iopub.status.busy": "2025-09-28T07:00:25.661261Z",
     "iopub.status.idle": "2025-09-28T07:00:25.741091Z",
     "shell.execute_reply": "2025-09-28T07:00:25.741091Z",
     "shell.execute_reply.started": "2025-09-28T07:00:25.661261Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = fish.simulator.show_average_queues()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:36.021641Z",
     "start_time": "2024-07-09T20:49:33.141788Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:25.742119Z",
     "iopub.status.busy": "2025-09-28T07:00:25.742119Z",
     "iopub.status.idle": "2025-09-28T07:00:27.608672Z",
     "shell.execute_reply": "2025-09-28T07:00:27.608672Z",
     "shell.execute_reply.started": "2025-09-28T07:00:25.742119Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fish.run(\n",
    "    \"priority\",\n",
    "    weights=rewards,\n",
    "    n_steps=10000000,\n",
    "    threshold=10,\n",
    "    counterweights=counterweights,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:36.030095Z",
     "start_time": "2024-07-09T20:49:36.022660Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:27.609679Z",
     "iopub.status.busy": "2025-09-28T07:00:27.609679Z",
     "iopub.status.idle": "2025-09-28T07:00:27.614824Z",
     "shell.execute_reply": "2025-09-28T07:00:27.614824Z",
     "shell.execute_reply.started": "2025-09-28T07:00:27.609679Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-4024899a-48fd-41c5-ae62-1fd27f28c4d9\">\n",
       "<div id=\"4024899a-48fd-41c5-ae62-1fd27f28c4d9\"></div>\n",
       "<a href=\"#\" id=\"fit-4024899a-48fd-41c5-ae62-1fd27f28c4d9\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-4024899a-48fd-41c5-ae62-1fd27f28c4d9 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#4024899a-48fd-41c5-ae62-1fd27f28c4d9 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"1\", \"title\": \"0: 1\"}, {\"id\": 1, \"label\": \"2\", \"title\": \"1: 2\"}, {\"id\": 2, \"label\": \"3\", \"title\": \"2: 3\"}, {\"id\": 3, \"label\": \"4\", \"title\": \"3: 4\"}, {\"id\": 4, \"label\": \"5\", \"title\": \"4: 5\"}, {\"id\": 5, \"label\": \"6\", \"title\": \"5: 6\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (1, 2)\", \"label\": \"3\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (1, 3)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (2, 3)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (3, 4)\", \"label\": \"0.965\", \"color\": \"blue\", \"from\": 2, \"to\": 3}, {\"title\": \"4: (3, 6)\", \"label\": \"0.0342\", \"color\": \"blue\", \"from\": 2, \"to\": 5}, {\"title\": \"5: (4, 5)\", \"label\": \"1.03\", \"color\": \"blue\", \"from\": 3, \"to\": 4}, {\"title\": \"6: (5, 6)\", \"label\": \"1.96\", \"color\": \"blue\", \"from\": 4, \"to\": 5}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('4024899a-48fd-41c5-ae62-1fd27f28c4d9');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-4024899a-48fd-41c5-ae62-1fd27f28c4d9').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fish.show_flow(disp_rates=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And that's it! The threshold controls the trade-off between the size of queue 4 and the nullity of edge (3, 6)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:36.660092Z",
     "start_time": "2024-07-09T20:49:36.034384Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:27.615832Z",
     "iopub.status.busy": "2025-09-28T07:00:27.615832Z",
     "iopub.status.idle": "2025-09-28T07:00:27.913339Z",
     "shell.execute_reply": "2025-09-28T07:00:27.912832Z",
     "shell.execute_reply.started": "2025-09-28T07:00:27.615832Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = fish.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:36.808903Z",
     "start_time": "2024-07-09T20:49:36.663176Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:27.914348Z",
     "iopub.status.busy": "2025-09-28T07:00:27.913339Z",
     "iopub.status.idle": "2025-09-28T07:00:27.998391Z",
     "shell.execute_reply": "2025-09-28T07:00:27.998391Z",
     "shell.execute_reply.started": "2025-09-28T07:00:27.914348Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = fish.simulator.show_average_queues()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Reward-based scoring"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another possibility: use a reward-based greedy scoring."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:40.500015Z",
     "start_time": "2024-07-09T20:49:36.812921Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:27.999398Z",
     "iopub.status.busy": "2025-09-28T07:00:27.999398Z",
     "iopub.status.idle": "2025-09-28T07:00:30.242164Z",
     "shell.execute_reply": "2025-09-28T07:00:30.242164Z",
     "shell.execute_reply.started": "2025-09-28T07:00:27.999398Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fish.run(\"longest\", rewards=rewards, n_steps=10000000, beta=0.01, shift_rewards=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:40.515733Z",
     "start_time": "2024-07-09T20:49:40.504033Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:30.243175Z",
     "iopub.status.busy": "2025-09-28T07:00:30.243175Z",
     "iopub.status.idle": "2025-09-28T07:00:30.249777Z",
     "shell.execute_reply": "2025-09-28T07:00:30.248768Z",
     "shell.execute_reply.started": "2025-09-28T07:00:30.243175Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-af6fd872-15ea-4ac0-9ad8-ea8947cf0ca1\">\n",
       "<div id=\"af6fd872-15ea-4ac0-9ad8-ea8947cf0ca1\"></div>\n",
       "<a href=\"#\" id=\"fit-af6fd872-15ea-4ac0-9ad8-ea8947cf0ca1\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-af6fd872-15ea-4ac0-9ad8-ea8947cf0ca1 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#af6fd872-15ea-4ac0-9ad8-ea8947cf0ca1 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"1\", \"title\": \"0: 1\"}, {\"id\": 1, \"label\": \"2\", \"title\": \"1: 2\"}, {\"id\": 2, \"label\": \"3\", \"title\": \"2: 3\"}, {\"id\": 3, \"label\": \"4\", \"title\": \"3: 4\"}, {\"id\": 4, \"label\": \"5\", \"title\": \"4: 5\"}, {\"id\": 5, \"label\": \"6\", \"title\": \"5: 6\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (1, 2)\", \"label\": \"3\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (1, 3)\", \"label\": \"0.999\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (2, 3)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (3, 4)\", \"label\": \"0.994\", \"color\": \"blue\", \"from\": 2, \"to\": 3}, {\"title\": \"4: (3, 6)\", \"label\": \"0.000353\", \"color\": \"blue\", \"from\": 2, \"to\": 5}, {\"title\": \"5: (4, 5)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 3, \"to\": 4}, {\"title\": \"6: (5, 6)\", \"label\": \"2\", \"color\": \"blue\", \"from\": 4, \"to\": 5}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('af6fd872-15ea-4ac0-9ad8-ea8947cf0ca1');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-af6fd872-15ea-4ac0-9ad8-ea8947cf0ca1').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fish.show_flow(disp_rates=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:41.212383Z",
     "start_time": "2024-07-09T20:49:40.520748Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:30.250778Z",
     "iopub.status.busy": "2025-09-28T07:00:30.249777Z",
     "iopub.status.idle": "2025-09-28T07:00:30.551215Z",
     "shell.execute_reply": "2025-09-28T07:00:30.551215Z",
     "shell.execute_reply.started": "2025-09-28T07:00:30.250778Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = fish.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:41.387793Z",
     "start_time": "2024-07-09T20:49:41.215390Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:30.552221Z",
     "iopub.status.busy": "2025-09-28T07:00:30.552221Z",
     "iopub.status.idle": "2025-09-28T07:00:30.640014Z",
     "shell.execute_reply": "2025-09-28T07:00:30.640014Z",
     "shell.execute_reply.started": "2025-09-28T07:00:30.552221Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Xr19fdu7c6ap6AQAAuD7I6K7Wly5dylKuu1PevHnT2dsBAAC4L8g0adJE4uLiMoUWfaxljRo1yn5NAAAAcnrW0tixY02YqVKlijRu3NiUfffdd5KcnCzffvuts7cDAABwX4tMtWrV5IcffpBOnTrJ2bNnTTfTs88+K/v27ZMaNWpkvyYAAAA53SKjQkNDZfTo0dl5KQAAgHUtMrNmzZKFCxdmKdeyDz74wFX1AgAAcH2Q0UG9f/rTn7KUlyhRglYaAADg2UHmxIkTUr58+SzlZcuWNdcAAAA8Nshoy4sO9r3Vrl27pHjx4k7d6/XXXzfr0mQ8wsPDHdevXbsmffv2NfctXLiwdOjQQc6cOeNslQEAQC7ldJD561//Kv379zebR+r6MXrotOsBAwZIly5dnK5A9erV5fTp045j3bp1jmuDBg2SpUuXmvE3a9askVOnTkn79u2dfg8AAJA7OT1racSIEWZzyGbNmomf3/+9PDU11UzBzs4YGb1HSEjIbVcKnjlzpsybN0+aNm3qGGhctWpV2bhxo9kSAQAAeDeng0y+fPnk448/NoFGu5MKFCggNWvWNGNkskN3zdbp3Pnz55eIiAgzmDgsLEy2bdsmN27ckMjISMdztdtJr23YsOGOQSYlJcUc6XShPgAAkDtlax0Zdf/990vlypXNYx3bkh316tWT2bNnm1WCtVtp+PDhZrXgPXv2SGJioglNRYsWzfSa4OBgc+1ONAjpfQAAQO7n9BgZNWfOHNMKo60xetSqVUv+85//OH2fFi1aSMeOHc3ro6Ki5Msvv5SkpCRZsGCBZFdsbKzplko/EhISsn0vAACQy1pkJkyYIEOHDpXnn39eGjZsaMp0gO7f//53OXfunBmgm13a+qItPYcOHZInnnhCrl+/boJNxlYZnbV0uzE16fz9/c0BAAByP6eDzJQpU2T69OlmcG+6Nm3amNlHOp36XoLM5cuX5fDhw/LMM89InTp1JG/evBIfH2+mXav9+/ebtWp0LA0AAIDTQUbHsjRo0CBLuZbpNWe88MIL0rp1azNQWKdWv/baa+Lr62umeAcGBkrPnj0lJiZGihUrJgEBAdKvXz8TYpixBAAAsjVGplKlSrcdw6IzmdIH/96tn3/+2YQWHeyru2nrwnc6tTooKMhcnzhxojz55JOmRaZJkyamS+nTTz/l/zkAAJC9FhmdEdS5c2dZu3atY4zM999/b7qAnB2kO3/+/P96XadkT5061RwAAAD33CKjrSObNm0yG0cuWbLEHPp48+bN8tRTTzl7OwAAAPeuI6MDcT/88MPsvysAAIBV68gAAAB4AoIMAACwLYIMAACwLYIMAADwviCj2wh89dVX8ttvv5nztLQ0V9YLAADA9UHm119/lcjISLMnUsuWLR2r+eoqvIMHD3b2dgAAAO4LMrqXkp+fn9nzqGDBgo5yXSRvxYoV2a8JAABATq8j8/XXX5supdKlS2cq1+0Jjh8/7uztAAAA3Ncic+XKlUwtMenOnz8v/v7+2a8JAABATgeZxo0by5w5cxznPj4+kpqaKuPGjZPHH3/c2dsBAAC4r2tJA0uzZs1k69atcv36dXnppZfkxx9/NC0yunkkAACAx7bI1KhRQw4cOCCNGjWStm3bmq6m9u3by44dO6RixYo5U0sAAABXbRoZGBgor7zySnZeCgAAYF2QWbt27X+93qRJk3upDwAAQM4FmcceeyxLmQ74TXfz5k1nbwkAAOCeMTIXLlzIdJw9e9YshFe3bl2zxgwAAIDHtsjo+JhbPfHEE5IvXz6JiYmRbdu2uapuAAAA7tn9Ojg4WPbv3++q2wEAALi+ReaHH37IdK67XuvGkWPGjJHatWs7ezsAAAD3BRkNKzq4VwNMRvXr15f3338/+zUBAADI6SBz9OjRTOd58uSRoKAgyZ8/v7O3AgAAcG+QKVu2rOPxtWvXCDAAAMA+g311nZgRI0ZIqVKlpHDhwnLkyBFTPnToUJk5c2ZO1BEAAMA1QWbUqFEye/Zss3mkTrnOuAfTe++95+ztAAAA3Bdk5syZI++884507dpVfH19HeUPPPCA7Nu3L/s1AQAAyOkgc/LkSalUqVKW8tTUVLlx44aztwMAAHBfkKlWrZp89913WcoXLVokDz74YPZrAgAAkNOzloYNGybR0dGmZUZbYT799FOzoq92OS1btszZ2wEAALivRaZt27aydOlS+eabb6RQoUIm2Ozdu9eU6Z5LAAAAHr3XUuPGjWXlypVm5+urV6/KunXrpHnz5vdUEd3iQFcMHjhwYKZ1avr27SvFixc3U707dOggZ86cuaf3AQAAuYfLNo28F1u2bJF///vfUqtWrUzlgwYNMi09CxculDVr1sipU6ekffv2ltUTAADYPMjolgQ67fpOh7MuX75spnK/++67ct999znKL168aBbYmzBhgjRt2lTq1Kkjs2bNkvXr18vGjRudfh8AAJD7OD3Yd/HixZnOdcr1jh075IMPPpDhw4c7XQHtOmrVqpVERkbKyJEjHeXbtm0z99bydOHh4RIWFiYbNmwwm1TeTkpKijnSJScnO10nAACQS4OMDva91V/+8hepXr26fPzxx9KzZ8+7vtf8+fNl+/btpmvpVomJiWbl4KJFi2YqDw4ONtfuJC4uLluBCgAAePEYGW0hiY+Pv+vnJyQkyIABA2Tu3Lku3XgyNjbWdEulH/o+AAAgd3JJkPntt99k8uTJZiPJu6VdRzrr6aGHHhI/Pz9z6IBevY8+1paX69evS1JSUqbX6aylkJCQO97X399fAgICMh0AACB3crprSQfk6jTpdGlpaXLp0iUpWLCgfPjhh3d9n2bNmsnu3bszlXXv3t2Mg3n55ZelTJkykjdvXtPKo9OulS68d+LECYmIiHC22gAAIBdyOshMnDgxU5DRWUxBQUFSr169TLOO/kiRIkXMjtkZ6QJ7umZMermOt4mJiZFixYqZlpV+/fqZEHOngb4AAMC7OB1kunXrJu6ioUmDkrbI6EykqKgomTZtmtveHwAAeDafNO0bcsIPP/xw18+9dYE7K+j068DAQDPwl/EygPcpN+QL8UbHxrSyugqAW35/O90iU7t27UxdS7ej2Uifc/PmTWdvDwAAkHOzlnS36/Lly5suHl0ITw99XLFiRfnkk0/kyJEjcvToUfMVAAAgJzndIjN69GgzRbply5aZupB0ltHQoUPNtGoAAACPbJHRKdPaInMrLfvpp59cVS8AAADXB5mqVauabQB0sbp0+ljL9BoAAIDHdi3NmDFDWrduLaVLl3bMStKZTDq4d+nSpTlRRwAAANcEmUceecQM5NU9kvbt22fKOnfuLH/729/MgnYAAAAeG2SUBpbevXu7vjYAAABW7H4NAADgbgQZAABgWwQZAABgWwQZAADgXUEmKSlJ3nvvPYmNjZXz58+bsu3bt8vJkyddXT8AAADXzVrSNWMiIyPNjpTHjh2TXr16SbFixcweTCdOnJA5c+Y4e0sAAAD3tMjExMRIt27d5ODBg5I/f35Hue69tHbt2uzVAgAAwB1BZsuWLfLcc89lKS9VqpQkJiZmpw4AAADuCTL+/v6SnJycpfzAgQMSFBSUvVoAAAC4I8i0adNG3njjDblx44Y51z2WdGzMyy+/LB06dMhOHQAAANwTZMaPHy+XL1+WEiVKyG+//SaPPvqoVKpUSYoUKSKjRo3KXi0AAADcMWtJZyutXLlS1q1bZ2Ywaah56KGHzEwmAAAAj980UjVq1MgcAAAAtgkykydPvm25jpXR6djazdSkSRPx9fV1Rf0AAABcF2QmTpwov/zyi1y9elXuu+8+U3bhwgUpWLCgFC5cWM6ePSsVKlSQVatWSZkyZZy9PQAAQM4N9h09erTUrVvXLIj366+/mkOnXterV0/+9a9/mRlMISEhMmjQIGdvDQAAkLMtMq+++qp88sknUrFiRUeZdie99dZbZvr1kSNHZNy4cUzFBgAAntcic/r0afn999+zlGtZ+sq+oaGhcunSJdfUEAAAwFVB5vHHHzdbFOzYscNRpo/79OkjTZs2Nee7d++W8uXLO3trAACAnA0yM2fONLtd16lTx2xXoMfDDz9syvSa0kG/unAeAACAR42R0YG8uiDevn37zCBfVaVKFXNkbLUBAADw2AXxwsPDzQEAAGCrIPPzzz/L559/bqZaX79+PdO1CRMmuKpuAAAArh0jEx8fb7qRpk+fbsbB6MJ3s2bNkvfff1927tzp1L30HrVq1ZKAgABzREREyPLlyx3Xr127Jn379pXixYubcTc6pfvMmTPOVhkAAORSTgeZ2NhYeeGFF8zMJN2SQNeUSUhIMLtgd+zY0al7lS5dWsaMGSPbtm2TrVu3mllPbdu2lR9//NFc10X1li5dKgsXLpQ1a9bIqVOnpH379s5WGQAA5FI+aWlpac68oEiRIqblRRfE0y0KdBfs6tWry65du0wIOXbs2D1VSGc/vfnmm/KXv/xFgoKCZN68eeax0gHGVatWlQ0bNkj9+vVv+/qUlBRzpEtOTjZbJVy8eNG0+gDwLuWGfCHe6NiYVlZXAbgn+vs7MDDwD39/O90iU6hQIce4mJIlS8rhw4cd186dO5fd+srNmzdl/vz5cuXKFdPFpK00N27ckMjISMdzdHBxWFiYCTJ3EhcXZ77x9IP9ngAAyL2cDjLaEqKtMKply5YyePBgGTVqlPTo0eOOrST/jXZR6fgXXY/m73//uyxevFiqVatmVgnOly+fFC1aNNPzg4ODHSsI36nrS9Nb+qHdXgAAIHdyetaSzkq6fPmyeTx8+HDz+OOPP5bKlStna8aSDhzWrioNHYsWLZLo6GgzHia70hfpAwAAuZ+fs90/OvVaZxqldzPNmDHjniqgrS666aTS1YK3bNlidtHu3Lmz6cJKSkrK1Cqjs5Z0UT4AAACnupZ8fX2lefPmcuHChRyrUGpqqhmsq6Emb968Zrp3uv3795u1a3QMDQAAgNNdSzVq1JAjR464ZFNIHc/SokULM4BXd8vWGUqrV6+Wr776ygzU7dmzp8TExJiZTDpiuV+/fibEZGcsDgAAyH2cDjIjR44068iMGDHCtJpo91JGzkxxPnv2rDz77LNy+vRpE1y0y0pDzBNPPGGuT5w4UfLkyWMWwtNWmqioKJk2bZqzVQYAALmU0+vIaLBwvNjHx/FYb6PnOo7GjvPQAeROrCMD2NPd/v52ukVGtyQAAADwBE4HGd2KAAAAwJYL4qnvvvtOnn76aWnQoIGcPHnSlP3nP/9xLJQHAADgkUFGN4nUQbcFChSQ7du3O/Y10j6s0aNH50QdAQAAXBNkdNaSLoL37rvvmnVe0jVs2NAEGwAAAI8NMrooXZMmTbKU68hiXYUXAADAY4OMbg9w6NChLOU6PqZChQquqhcAAIDrg0yvXr1kwIABsmnTJrNuzKlTp2Tu3Llmkbw+ffo4ezsAAAD3Tb8eMmSI2Q+pWbNmcvXqVdPNpLtNa5DRLQQAAAA8NshoK8wrr7wiL774ouliunz5slSrVk0KFy6cMzUEAABwVdfShx9+aFpi8uXLZwLMI488QogBAAD2CDKDBg2SEiVKyN/+9jf58ssvPW5vJQAA4D2cDjK6U/X8+fNNF1OnTp2kZMmS0rdvX1m/fn3O1BAAAMBVQcbPz0+efPJJM1Pp7NmzMnHiRDl27Jg8/vjjUrFiRWdvBwAA4L7BvhkVLFjQbFdw4cIFOX78uOzdu/debgcAAJDzm0bqYF9tkWnZsqWUKlVKJk2aJE899ZT8+OOP2bkdAACAe1pkunTpIsuWLTOtMTpGZujQoRIREZG9dwcAAHBnkPH19ZUFCxaYLiV9nNGePXukRo0a91IfAACAnAsy2qWU0aVLl+Sjjz6S9957T7Zt28Z0bAAA4NljZNTatWslOjraTL9+6623pGnTprJx40bX1g4AAMBVLTKJiYkye/ZsmTlzpiQnJ5sxMikpKbJkyRKzyi8AAIBHtsi0bt1aqlSpIj/88IOZpaS7Xk+ZMiVnawcAAOCKFpnly5dL//79pU+fPlK5cuW7fRkAAID1LTLr1q0zA3vr1Kkj9erVk7ffflvOnTuXczUDAABwVZCpX7++vPvuu2avpeeee87stxQaGiqpqamycuVKE3IAAAA8etZSoUKFpEePHqaFZvfu3TJ48GAZM2aM2RG7TZs2OVNLAAAAV06/Vjr4d9y4cfLzzz+btWQAAABsE2TS6Qq/7dq1k88//9wVtwMAAHBfkAEAALACQQYAANgWQQYAANiWpUEmLi5O6tatK0WKFDGznnSczf79+zM959q1a9K3b18pXry4FC5cWDp06CBnzpyxrM4AAMBzWBpk1qxZY0KKbjapa9HcuHFDmjdvLleuXHE8Z9CgQbJ06VJZuHCheb5ujdC+fXsrqw0AAOy4aaSrrVixItO5bkipLTPbtm2TJk2ayMWLF80GlfPmzTO7a6tZs2ZJ1apVTfjRRfpupZtY6pFON7cEAAC5k0eNkdHgoooVK2a+aqDRVprIyEjHc8LDwyUsLEw2bNhwx+6qwMBAx1GmTBk31R4AAHhtkNGtDgYOHCgNGzaUGjVqmLLExETJly+fFC1aNNNzg4ODzbXbiY2NNYEo/UhISHBL/QEAgJd1LWWkY2X27Nljtj64F/7+/uYAAAC5n0e0yDz//POybNkyWbVqlZQuXdpRHhISItevX5ekpKRMz9dZS3oNAAB4N0uDTFpamgkxixcvlm+//VbKly+f6XqdOnUkb968Eh8f7yjT6dknTpyQiIgIC2oMAAA8iZ/V3Uk6I+mzzz4za8mkj3vRQboFChQwX3v27CkxMTFmAHBAQID069fPhJjbzVgCAADexdIgM336dPP1sccey1SuU6y7detmHk+cOFHy5MljFsLTadVRUVEybdo0S+oLAAA8i5/VXUt/JH/+/DJ16lRzAAAAeNxgXwAAgOwgyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANsiyAAAANuyNMisXbtWWrduLaGhoeLj4yNLlizJdD0tLU2GDRsmJUuWlAIFCkhkZKQcPHjQsvoCAADPYmmQuXLlijzwwAMyderU214fN26cTJ48WWbMmCGbNm2SQoUKSVRUlFy7ds3tdQUAAJ7Hz8o3b9GihTluR1tjJk2aJK+++qq0bdvWlM2ZM0eCg4NNy02XLl3cXFsAAOBpPHaMzNGjRyUxMdF0J6ULDAyUevXqyYYNG+74upSUFElOTs50AACA3Mljg4yGGKUtMBnpefq124mLizOBJ/0oU6ZMjtcVAABYw2ODTHbFxsbKxYsXHUdCQoLVVQIAAN4WZEJCQszXM2fOZCrX8/Rrt+Pv7y8BAQGZDgAAkDt5bJApX768CSzx8fGOMh3vorOXIiIiLK0bAADwDJbOWrp8+bIcOnQo0wDfnTt3SrFixSQsLEwGDhwoI0eOlMqVK5tgM3ToULPmTLt27aysNgAA8BCWBpmtW7fK448/7jiPiYkxX6Ojo2X27Nny0ksvmbVmevfuLUlJSdKoUSNZsWKF5M+f38JaAwAAT+GTpgu25GLaHaWzl3TgL+NlAO9TbsgX4o2OjWlldRUAt/z+9tgxMgAAAH+EIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGzLz+oKAACQG5Qb8oV4o2NjWln6/rTIAAAA2yLIAAAA2yLIAAAA2yLIAAAA2yLIAAAA2yLIAAAA27LF9OupU6fKm2++KYmJifLAAw/IlClT5JFHHrG6Wl471e5ep9t56+dm9RRFAMiNPL5F5uOPP5aYmBh57bXXZPv27SbIREVFydmzZ62uGgAAsJjHB5kJEyZIr169pHv37lKtWjWZMWOGFCxYUN5//32rqwYAACzm0V1L169fl23btklsbKyjLE+ePBIZGSkbNmy47WtSUlLMke7ixYvma3Jyssvrl5pyVbzVvXye3vq55cTPIP4YP29wF37Wcua+aWlp9g0y586dk5s3b0pwcHCmcj3ft2/fbV8TFxcnw4cPz1JepkyZHKunNwqcZHUN7IfPDO7Ezxtyy8/apUuXJDAw0J5BJju09UbH1KRLTU2V8+fPS/HixcXHx0dyC02qGs4SEhIkICDA6urYAp9Z9vC5ZQ+fW/bwuTkvOZd+ZtoSoyEmNDT0vz7Po4PMn/70J/H19ZUzZ85kKtfzkJCQ277G39/fHBkVLVpUciv9oc1NP7juwGeWPXxu2cPnlj18bs4LyIWf2X9ribHFYN98+fJJnTp1JD4+PlMLi55HRERYWjcAAGA9j26RUdpNFB0dLQ8//LBZO2bSpEly5coVM4sJAAB4N48PMp07d5ZffvlFhg0bZhbEq127tqxYsSLLAGBvo91nurbOrd1ouDM+s+zhc8sePrfs4XNznr+Xf2Y+aX80rwkAAMBDefQYGQAAgP+GIAMAAGyLIAMAAGyLIAMAAGyLIGMza9euldatW5uVDnWl4iVLllhdJY+n21bUrVtXihQpIiVKlJB27drJ/v37ra6Wx5s+fbrUqlXLsciWrt20fPlyq6tlK2PGjDH/nQ4cONDqqni0119/3XxOGY/w8HCrq2ULJ0+elKefftqsXl+gQAGpWbOmbN26VbwJQcZmdA2dBx54QKZOnWp1VWxjzZo10rdvX9m4caOsXLlSbty4Ic2bNzefJe6sdOnS5hexbtyq/zA2bdpU2rZtKz/++KPVVbOFLVu2yL///W8TBvHHqlevLqdPn3Yc69ats7pKHu/ChQvSsGFDyZs3r/kj46effpLx48fLfffdJ97E49eRQWYtWrQwB+6erjuU0ezZs03LjP6CbtKkiWX18nTa8pfRqFGjTCuNBkL9pYM7u3z5snTt2lXeffddGTlypNXVsQU/P787bj2D2xs7dqzZY2nWrFmOsvLly4u3oUUGXufixYvma7Fixayuim3oLvTz5883rVhsD/LHtAWwVatWEhkZaXVVbOPgwYOmy7xChQomBJ44ccLqKnm8zz//3Kx637FjR/PH2YMPPmjCs7ehRQZeRffq0vEK2hxbo0YNq6vj8Xbv3m2Cy7Vr16Rw4cKyePFiqVatmtXV8mga+LZv3266lnB36tWrZ1pKq1SpYrqVhg8fLo0bN5Y9e/aYsW24vSNHjphWUt3K55///Kf5mevfv7/Zp1C39vEWBBl43V/K+o8j/e93R3+x7Ny507RiLVq0yPzjqGOOCDO3l5CQIAMGDDBjsfLnz291dWwjY3e5jinSYFO2bFlZsGCB9OzZ09K6efofZg8//LCMHj3anGuLjP77NmPGDK8KMnQtwWs8//zzsmzZMlm1apUZyIo/pn/ZVapUyexCr7O/dKD5v/71L6ur5bF03NXZs2floYceMmM+9NDgN3nyZPNYu+jwx4oWLSr333+/HDp0yOqqeLSSJUtm+aOiatWqXtctR4sMcj3dTqxfv36mW2T16tVeORjOlX8BpqSkWF0Nj9WsWTPTHZdR9+7dzVTil19+WXx9fS2rm90GSx8+fFieeeYZq6vi0bSLfP8tS0kcOHDAtGZ5E4KMDf8Dz/hXytGjR03Tvw5cDQsLs7RuntydNG/ePPnss89Mf7vuoq4CAwPNugu4vdjYWNPkrz9Xly5dMp+hBsGvvvrK6qp5LP35unXsVaFChcwaH4zJurMXXnjBzJLTX8CnTp0yOzlr6PvrX/9qddU82qBBg6RBgwama6lTp06yefNmeeedd8zhVXT3a9jHqlWrdLfyLEd0dLTVVfNYt/u89Jg1a5bVVfNoPXr0SCtbtmxavnz50oKCgtKaNWuW9vXXX1tdLdt59NFH0wYMGGB1NTxa586d00qWLGl+1kqVKmXODx06ZHW1bGHp0qVpNWrUSPP3908LDw9Pe+edd9K8jY/+j9VhCgAAIDsY7AsAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMAAGyLIAMgVypXrpxMmjTJ6moAyGEEGQCW6datm/j4+MiYMWMylS9ZssSUA8AfIcgAsFT+/Pll7NixcuHCBaurAsCGCDIALBUZGSkhISESFxd3x+d88sknUr16dfH39zddRuPHj890/ezZs2b3ZN3NvHz58jJ37tws90hKSpL/+Z//kaCgIAkICJCmTZvKrl27cuR7AuA+BBkAlvL19ZXRo0fLlClT5Oeff85yfdu2bdKpUyfp0qWL7N69W15//XUZOnSozJ49O1MXVUJCgqxatUoWLVok06ZNM+Emo44dO5qy5cuXm3s+9NBD0qxZMzl//rxbvk8AOcMvh+4LAHftqaeektq1a8trr70mM2fOzHRtwoQJJnBoeFH333+//PTTT/Lmm2+aAHPgwAETTjZv3ix169Y1z9F7VK1a1XGPdevWmesaZLRVR7311ltmLI4Gn969e7v1+wXgOrTIAPAIOk7mgw8+kL1792Yq1/OGDRtmKtPzgwcPys2bN811Pz8/qVOnjuN6eHi4FC1a1HGuXUiXL1+W4sWLS+HChR3H0aNH5fDhw2747gDkFFpkAHiEJk2aSFRUlMTGxpqWFlfSEFOyZElZvXp1lmsZAw8A+yHIAPAYOg1bu5iqVKniKNMuou+//z7T8/Rcu5h0fI22vvz+++9m3Et619L+/fvN4N50Oh4mMTHRtNzoYGEAuQddSwA8Rs2aNaVr164yefJkR9ngwYMlPj5eRowYYcbDaPfT22+/LS+88IK5rqHnz3/+szz33HOyadMmE2h0dpLOYMo4MyoiIkLatWsnX3/9tRw7dkzWr18vr7zyimzdutWS7xWAaxBkAHiUN954Q1JTUzO1pixYsEDmz58vNWrUkGHDhpnnZOx+mjVrloSGhsqjjz4q7du3N4N3S5Qo4biui+t9+eWXpvuqe/fupjVHZ0EdP35cgoOD3f49AnAdn7S0tDQX3g8AAMBtaJEBAAC2RZABAAC2RZABAAC2RZABAAC2RZABAAC2RZABAAC2RZABAAC2RZABAAC2RZABAAC2RZABAAC2RZABAABiV/8LNs0FGeoSTo0AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = fish.simulator.show_average_queues()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:43.538365Z",
     "start_time": "2024-07-09T20:49:41.390805Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:30.642024Z",
     "iopub.status.busy": "2025-09-28T07:00:30.641021Z",
     "iopub.status.idle": "2025-09-28T07:00:31.785297Z",
     "shell.execute_reply": "2025-09-28T07:00:31.785297Z",
     "shell.execute_reply.started": "2025-09-28T07:00:30.642024Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fish.run(\"longest\", rewards=rewards, n_steps=10000000, beta=0.1, shift_rewards=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:43.561581Z",
     "start_time": "2024-07-09T20:49:43.541613Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:31.786780Z",
     "iopub.status.busy": "2025-09-28T07:00:31.785297Z",
     "iopub.status.idle": "2025-09-28T07:00:31.794782Z",
     "shell.execute_reply": "2025-09-28T07:00:31.794782Z",
     "shell.execute_reply.started": "2025-09-28T07:00:31.786780Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-c7ef454c-97af-4d58-b590-5cf922b98d71\">\n",
       "<div id=\"c7ef454c-97af-4d58-b590-5cf922b98d71\"></div>\n",
       "<a href=\"#\" id=\"fit-c7ef454c-97af-4d58-b590-5cf922b98d71\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-c7ef454c-97af-4d58-b590-5cf922b98d71 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#c7ef454c-97af-4d58-b590-5cf922b98d71 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"1\", \"title\": \"0: 1\"}, {\"id\": 1, \"label\": \"2\", \"title\": \"1: 2\"}, {\"id\": 2, \"label\": \"3\", \"title\": \"2: 3\"}, {\"id\": 3, \"label\": \"4\", \"title\": \"3: 4\"}, {\"id\": 4, \"label\": \"5\", \"title\": \"4: 5\"}, {\"id\": 5, \"label\": \"6\", \"title\": \"5: 6\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (1, 2)\", \"label\": \"3\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (1, 3)\", \"label\": \"0.994\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (2, 3)\", \"label\": \"1\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (3, 4)\", \"label\": \"0.98\", \"color\": \"blue\", \"from\": 2, \"to\": 3}, {\"title\": \"4: (3, 6)\", \"label\": \"0.0235\", \"color\": \"blue\", \"from\": 2, \"to\": 5}, {\"title\": \"5: (4, 5)\", \"label\": \"1.02\", \"color\": \"blue\", \"from\": 3, \"to\": 4}, {\"title\": \"6: (5, 6)\", \"label\": \"1.98\", \"color\": \"blue\", \"from\": 4, \"to\": 5}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('c7ef454c-97af-4d58-b590-5cf922b98d71');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-c7ef454c-97af-4d58-b590-5cf922b98d71').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fish.show_flow(disp_rates=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:44.197775Z",
     "start_time": "2024-07-09T20:49:43.565593Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:31.795811Z",
     "iopub.status.busy": "2025-09-28T07:00:31.795811Z",
     "iopub.status.idle": "2025-09-28T07:00:32.112156Z",
     "shell.execute_reply": "2025-09-28T07:00:32.112156Z",
     "shell.execute_reply.started": "2025-09-28T07:00:31.795811Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = fish.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:44.449323Z",
     "start_time": "2024-07-09T20:49:44.214045Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:32.113160Z",
     "iopub.status.busy": "2025-09-28T07:00:32.113160Z",
     "iopub.status.idle": "2025-09-28T07:00:32.205573Z",
     "shell.execute_reply": "2025-09-28T07:00:32.205573Z",
     "shell.execute_reply.started": "2025-09-28T07:00:32.113160Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = fish.simulator.show_average_queues()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And that's it! Beta controls the trade-off between the size of queue 4 and the nullity of edge (3, 6)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reaching a highly degenerated vertex"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following model has *very injective* vertices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:44.481170Z",
     "start_time": "2024-07-09T20:49:44.454341Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:32.206580Z",
     "iopub.status.busy": "2025-09-28T07:00:32.206580Z",
     "iopub.status.idle": "2025-09-28T07:00:32.218580Z",
     "shell.execute_reply": "2025-09-28T07:00:32.218580Z",
     "shell.execute_reply.started": "2025-09-28T07:00:32.206580Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[{'kernel_coordinates': array([-1., -1.]),\n",
       "  'edge_coordinates': array([0., 2., 0., 4., 0., 0., 2., 0.]),\n",
       "  'null_edges': [0, 2, 4, 5, 7],\n",
       "  'bijective': False},\n",
       " {'kernel_coordinates': array([-1.,  1.]),\n",
       "  'edge_coordinates': array([2., 0., 0., 2., 2., 0., 0., 2.]),\n",
       "  'null_edges': [1, 2, 5, 6],\n",
       "  'bijective': False},\n",
       " {'kernel_coordinates': array([1., 1.]),\n",
       "  'edge_coordinates': array([2., 0., 2., 0., 0., 2., 0., 2.]),\n",
       "  'null_edges': [1, 3, 4, 6],\n",
       "  'bijective': False}]"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "codomino = sm.Codomino(rates=[2, 4, 2, 2, 4, 2])\n",
    "codomino.base_flow = np.array([1.0, 1.0, 1.0, 2.0, 0.0, 1.0, 1.0, 1.0])\n",
    "codomino.vertices"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In particular the first vertex is made of three unconnected pairs:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:44.499384Z",
     "start_time": "2024-07-09T20:49:44.487208Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:32.219879Z",
     "iopub.status.busy": "2025-09-28T07:00:32.218580Z",
     "iopub.status.idle": "2025-09-28T07:00:32.224205Z",
     "shell.execute_reply": "2025-09-28T07:00:32.224205Z",
     "shell.execute_reply.started": "2025-09-28T07:00:32.219879Z"
    }
   },
   "outputs": [
    {
     "data": {
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       "<a href=\"#\" id=\"fit-38ddf4f0-bbea-4686-82d0-336346bb42d0\"\n",
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       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-38ddf4f0-bbea-4686-82d0-336346bb42d0 {\n",
       "position: relative;\n",
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       "max-height: 100vh !important;\n",
       "}\n",
       "#38ddf4f0-bbea-4686-82d0-336346bb42d0 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"4\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"2\", \"title\": \"3\"}, {\"id\": 4, \"label\": \"4\", \"title\": \"4\"}, {\"id\": 5, \"label\": \"2\", \"title\": \"5\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"\", \"color\": \"orange\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"2\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"\", \"color\": \"orange\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 4)\", \"label\": \"4\", \"color\": \"blue\", \"from\": 1, \"to\": 4}, {\"title\": \"4: (2, 3)\", \"label\": \"\", \"color\": \"orange\", \"from\": 2, \"to\": 3}, {\"title\": \"5: (3, 4)\", \"label\": \"\", \"color\": \"orange\", \"from\": 3, \"to\": 4}, {\"title\": \"6: (3, 5)\", \"label\": \"2\", \"color\": \"blue\", \"from\": 3, \"to\": 5}, {\"title\": \"7: (4, 5)\", \"label\": \"\", \"color\": \"orange\", \"from\": 4, \"to\": 5}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('38ddf4f0-bbea-4686-82d0-336346bb42d0');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-38ddf4f0-bbea-4686-82d0-336346bb42d0').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "codomino.show_vertex(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pure filtering"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let try to reach it with a filtering policy without threshold."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:47.491932Z",
     "start_time": "2024-07-09T20:49:44.505403Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:32.225211Z",
     "iopub.status.busy": "2025-09-28T07:00:32.225211Z",
     "iopub.status.idle": "2025-09-28T07:00:33.656694Z",
     "shell.execute_reply": "2025-09-28T07:00:33.656694Z",
     "shell.execute_reply.started": "2025-09-28T07:00:32.225211Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "codomino.run(\n",
    "    \"longest\",\n",
    "    forbidden_edges=codomino.vertices[0][\"null_edges\"],\n",
    "    n_steps=10000000,\n",
    "    max_queue=100000,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:47.505045Z",
     "start_time": "2024-07-09T20:49:47.493976Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:33.658012Z",
     "iopub.status.busy": "2025-09-28T07:00:33.658012Z",
     "iopub.status.idle": "2025-09-28T07:00:33.664124Z",
     "shell.execute_reply": "2025-09-28T07:00:33.663083Z",
     "shell.execute_reply.started": "2025-09-28T07:00:33.658012Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-a742310d-0312-40ea-9947-d31783badf78\">\n",
       "<div id=\"a742310d-0312-40ea-9947-d31783badf78\"></div>\n",
       "<a href=\"#\" id=\"fit-a742310d-0312-40ea-9947-d31783badf78\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-a742310d-0312-40ea-9947-d31783badf78 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#a742310d-0312-40ea-9947-d31783badf78 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"4\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"2\", \"title\": \"3\"}, {\"id\": 4, \"label\": \"4\", \"title\": \"4\"}, {\"id\": 5, \"label\": \"2\", \"title\": \"5\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"0\", \"color\": \"orange\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"2\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"0\", \"color\": \"orange\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 4)\", \"label\": \"4\", \"color\": \"blue\", \"from\": 1, \"to\": 4}, {\"title\": \"4: (2, 3)\", \"label\": \"0\", \"color\": \"orange\", \"from\": 2, \"to\": 3}, {\"title\": \"5: (3, 4)\", \"label\": \"0\", \"color\": \"orange\", \"from\": 3, \"to\": 4}, {\"title\": \"6: (3, 5)\", \"label\": \"2\", \"color\": \"blue\", \"from\": 3, \"to\": 5}, {\"title\": \"7: (4, 5)\", \"label\": \"0\", \"color\": \"orange\", \"from\": 4, \"to\": 5}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('a742310d-0312-40ea-9947-d31783badf78');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-a742310d-0312-40ea-9947-d31783badf78').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "codomino.show_flow()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As this is pure filtering, the desired edges are indeed null."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:47.519830Z",
     "start_time": "2024-07-09T20:49:47.509054Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:33.666280Z",
     "iopub.status.busy": "2025-09-28T07:00:33.665272Z",
     "iopub.status.idle": "2025-09-28T07:00:33.671381Z",
     "shell.execute_reply": "2025-09-28T07:00:33.671381Z",
     "shell.execute_reply.started": "2025-09-28T07:00:33.666280Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.       , 1.9977536, 0.       , 3.9996384, 0.       , 0.       ,\n",
       "       2.0006656, 0.       ])"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "codomino.simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But performance is awful!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:48.216140Z",
     "start_time": "2024-07-09T20:49:47.522262Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:33.672387Z",
     "iopub.status.busy": "2025-09-28T07:00:33.672387Z",
     "iopub.status.idle": "2025-09-28T07:00:34.173234Z",
     "shell.execute_reply": "2025-09-28T07:00:34.173234Z",
     "shell.execute_reply.started": "2025-09-28T07:00:33.672387Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = codomino.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:48.484355Z",
     "start_time": "2024-07-09T20:49:48.218145Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:34.174283Z",
     "iopub.status.busy": "2025-09-28T07:00:34.174283Z",
     "iopub.status.idle": "2025-09-28T07:00:34.263830Z",
     "shell.execute_reply": "2025-09-28T07:00:34.263313Z",
     "shell.execute_reply.started": "2025-09-28T07:00:34.174283Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = codomino.simulator.show_average_queues(sort=True, as_time=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### $k$-filtering"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A softer solution in that case is to use a $k$-filtering policy (i.e. with threshold)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:51.264945Z",
     "start_time": "2024-07-09T20:49:48.488401Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:34.264838Z",
     "iopub.status.busy": "2025-09-28T07:00:34.263830Z",
     "iopub.status.idle": "2025-09-28T07:00:35.659813Z",
     "shell.execute_reply": "2025-09-28T07:00:35.659813Z",
     "shell.execute_reply.started": "2025-09-28T07:00:34.264838Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "codomino.run(\n",
    "    \"longest\",\n",
    "    forbidden_edges=codomino.vertices[0][\"null_edges\"],\n",
    "    k=900,\n",
    "    n_steps=10000000,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:51.289942Z",
     "start_time": "2024-07-09T20:49:51.268701Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:35.660823Z",
     "iopub.status.busy": "2025-09-28T07:00:35.660823Z",
     "iopub.status.idle": "2025-09-28T07:00:35.668327Z",
     "shell.execute_reply": "2025-09-28T07:00:35.667820Z",
     "shell.execute_reply.started": "2025-09-28T07:00:35.660823Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-8946a9ba-b1b0-407f-ac78-8d1929deed2e\">\n",
       "<div id=\"8946a9ba-b1b0-407f-ac78-8d1929deed2e\"></div>\n",
       "<a href=\"#\" id=\"fit-8946a9ba-b1b0-407f-ac78-8d1929deed2e\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-8946a9ba-b1b0-407f-ac78-8d1929deed2e {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#8946a9ba-b1b0-407f-ac78-8d1929deed2e {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"4\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"2\", \"title\": \"3\"}, {\"id\": 4, \"label\": \"4\", \"title\": \"4\"}, {\"id\": 5, \"label\": \"2\", \"title\": \"5\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"0.00307\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"2\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"0\", \"color\": \"orange\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 4)\", \"label\": \"4\", \"color\": \"blue\", \"from\": 1, \"to\": 4}, {\"title\": \"4: (2, 3)\", \"label\": \"0\", \"color\": \"orange\", \"from\": 2, \"to\": 3}, {\"title\": \"5: (3, 4)\", \"label\": \"0.00293\", \"color\": \"blue\", \"from\": 3, \"to\": 4}, {\"title\": \"6: (3, 5)\", \"label\": \"2\", \"color\": \"blue\", \"from\": 3, \"to\": 5}, {\"title\": \"7: (4, 5)\", \"label\": \"0.00373\", \"color\": \"blue\", \"from\": 4, \"to\": 5}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('8946a9ba-b1b0-407f-ac78-8d1929deed2e');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-8946a9ba-b1b0-407f-ac78-8d1929deed2e').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "codomino.show_flow()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So this is stable with a limited matching rate on forbidden edges."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:51.302287Z",
     "start_time": "2024-07-09T20:49:51.293978Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:35.668327Z",
     "iopub.status.busy": "2025-09-28T07:00:35.668327Z",
     "iopub.status.idle": "2025-09-28T07:00:35.677030Z",
     "shell.execute_reply": "2025-09-28T07:00:35.676025Z",
     "shell.execute_reply.started": "2025-09-28T07:00:35.668327Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([3.0672000e-03, 1.9972304e+00, 0.0000000e+00, 3.9954352e+00,\n",
       "       0.0000000e+00, 2.9280000e-03, 1.9968848e+00, 3.7328000e-03])"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "codomino.simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Performance is controlled by the threshold."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:52.078317Z",
     "start_time": "2024-07-09T20:49:51.305300Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:35.678032Z",
     "iopub.status.busy": "2025-09-28T07:00:35.677030Z",
     "iopub.status.idle": "2025-09-28T07:00:36.022175Z",
     "shell.execute_reply": "2025-09-28T07:00:36.022175Z",
     "shell.execute_reply.started": "2025-09-28T07:00:35.678032Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = codomino.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:52.251100Z",
     "start_time": "2024-07-09T20:49:52.082381Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:36.023306Z",
     "iopub.status.busy": "2025-09-28T07:00:36.023306Z",
     "iopub.status.idle": "2025-09-28T07:00:36.105814Z",
     "shell.execute_reply": "2025-09-28T07:00:36.105814Z",
     "shell.execute_reply.started": "2025-09-28T07:00:36.023306Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = codomino.simulator.show_average_queues(sort=True, as_time=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:54.859699Z",
     "start_time": "2024-07-09T20:49:52.256114Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:36.107029Z",
     "iopub.status.busy": "2025-09-28T07:00:36.107029Z",
     "iopub.status.idle": "2025-09-28T07:00:37.541675Z",
     "shell.execute_reply": "2025-09-28T07:00:37.541171Z",
     "shell.execute_reply.started": "2025-09-28T07:00:36.107029Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "codomino.run(\n",
    "    \"longest\",\n",
    "    forbidden_edges=codomino.vertices[0][\"null_edges\"],\n",
    "    k=50,\n",
    "    n_steps=10000000,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:54.893950Z",
     "start_time": "2024-07-09T20:49:54.864387Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:37.542681Z",
     "iopub.status.busy": "2025-09-28T07:00:37.542681Z",
     "iopub.status.idle": "2025-09-28T07:00:37.549034Z",
     "shell.execute_reply": "2025-09-28T07:00:37.549034Z",
     "shell.execute_reply.started": "2025-09-28T07:00:37.542681Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-9fd6a13b-9c76-402c-8e42-a2cbbf36d875\">\n",
       "<div id=\"9fd6a13b-9c76-402c-8e42-a2cbbf36d875\"></div>\n",
       "<a href=\"#\" id=\"fit-9fd6a13b-9c76-402c-8e42-a2cbbf36d875\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-9fd6a13b-9c76-402c-8e42-a2cbbf36d875 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#9fd6a13b-9c76-402c-8e42-a2cbbf36d875 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"4\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"2\", \"title\": \"3\"}, {\"id\": 4, \"label\": \"4\", \"title\": \"4\"}, {\"id\": 5, \"label\": \"2\", \"title\": \"5\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"0.0444\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"1.95\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"0.0306\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 4)\", \"label\": \"3.93\", \"color\": \"blue\", \"from\": 1, \"to\": 4}, {\"title\": \"4: (2, 3)\", \"label\": \"0.0123\", \"color\": \"blue\", \"from\": 2, \"to\": 3}, {\"title\": \"5: (3, 4)\", \"label\": \"0.0333\", \"color\": \"blue\", \"from\": 3, \"to\": 4}, {\"title\": \"6: (3, 5)\", \"label\": \"1.96\", \"color\": \"blue\", \"from\": 3, \"to\": 5}, {\"title\": \"7: (4, 5)\", \"label\": \"0.0435\", \"color\": \"blue\", \"from\": 4, \"to\": 5}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('9fd6a13b-9c76-402c-8e42-a2cbbf36d875');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-9fd6a13b-9c76-402c-8e42-a2cbbf36d875').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "codomino.show_flow()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:54.914005Z",
     "start_time": "2024-07-09T20:49:54.899079Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:37.550043Z",
     "iopub.status.busy": "2025-09-28T07:00:37.550043Z",
     "iopub.status.idle": "2025-09-28T07:00:37.556065Z",
     "shell.execute_reply": "2025-09-28T07:00:37.556065Z",
     "shell.execute_reply.started": "2025-09-28T07:00:37.550043Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.0443776, 1.9524512, 0.0306336, 3.9258976, 0.0123232, 0.0332736,\n",
       "       1.9575072, 0.0435152])"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "codomino.simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:55.497621Z",
     "start_time": "2024-07-09T20:49:54.917018Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:37.557272Z",
     "iopub.status.busy": "2025-09-28T07:00:37.557272Z",
     "iopub.status.idle": "2025-09-28T07:00:37.856051Z",
     "shell.execute_reply": "2025-09-28T07:00:37.856051Z",
     "shell.execute_reply.started": "2025-09-28T07:00:37.557272Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = codomino.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:49:55.683323Z",
     "start_time": "2024-07-09T20:49:55.500651Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:37.857057Z",
     "iopub.status.busy": "2025-09-28T07:00:37.857057Z",
     "iopub.status.idle": "2025-09-28T07:00:37.939504Z",
     "shell.execute_reply": "2025-09-28T07:00:37.939504Z",
     "shell.execute_reply.started": "2025-09-28T07:00:37.857057Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = codomino.simulator.show_average_queues(sort=True, as_time=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Other filtering policies exists to reach the vertex."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### $\\epsilon$-filtering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:08.703329Z",
     "start_time": "2024-07-09T20:50:01.583302Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:37.940510Z",
     "iopub.status.busy": "2025-09-28T07:00:37.940510Z",
     "iopub.status.idle": "2025-09-28T07:00:40.608174Z",
     "shell.execute_reply": "2025-09-28T07:00:40.608174Z",
     "shell.execute_reply.started": "2025-09-28T07:00:37.940510Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "codomino.run(\n",
    "    \"e_filtering\",\n",
    "    forbidden_edges=codomino.vertices[0][\"null_edges\"],\n",
    "    epsilon=0.01,\n",
    "    n_steps=10000000,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:08.711862Z",
     "start_time": "2024-07-09T20:50:08.705342Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:40.609181Z",
     "iopub.status.busy": "2025-09-28T07:00:40.609181Z",
     "iopub.status.idle": "2025-09-28T07:00:40.614622Z",
     "shell.execute_reply": "2025-09-28T07:00:40.614622Z",
     "shell.execute_reply.started": "2025-09-28T07:00:40.609181Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-3cb98b58-0ade-43a1-9a25-7265abab85d3\">\n",
       "<div id=\"3cb98b58-0ade-43a1-9a25-7265abab85d3\"></div>\n",
       "<a href=\"#\" id=\"fit-3cb98b58-0ade-43a1-9a25-7265abab85d3\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-3cb98b58-0ade-43a1-9a25-7265abab85d3 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#3cb98b58-0ade-43a1-9a25-7265abab85d3 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"4\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"2\", \"title\": \"3\"}, {\"id\": 4, \"label\": \"4\", \"title\": \"4\"}, {\"id\": 5, \"label\": \"2\", \"title\": \"5\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"0.0276\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"1.97\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"0.0203\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 4)\", \"label\": \"3.95\", \"color\": \"blue\", \"from\": 1, \"to\": 4}, {\"title\": \"4: (2, 3)\", \"label\": \"0.00981\", \"color\": \"blue\", \"from\": 2, \"to\": 3}, {\"title\": \"5: (3, 4)\", \"label\": \"0.0194\", \"color\": \"blue\", \"from\": 3, \"to\": 4}, {\"title\": \"6: (3, 5)\", \"label\": \"1.97\", \"color\": \"blue\", \"from\": 3, \"to\": 5}, {\"title\": \"7: (4, 5)\", \"label\": \"0.0277\", \"color\": \"blue\", \"from\": 4, \"to\": 5}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('3cb98b58-0ade-43a1-9a25-7265abab85d3');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-3cb98b58-0ade-43a1-9a25-7265abab85d3').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "codomino.show_flow()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:08.737233Z",
     "start_time": "2024-07-09T20:50:08.713975Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:40.615976Z",
     "iopub.status.busy": "2025-09-28T07:00:40.615976Z",
     "iopub.status.idle": "2025-09-28T07:00:40.624362Z",
     "shell.execute_reply": "2025-09-28T07:00:40.624362Z",
     "shell.execute_reply.started": "2025-09-28T07:00:40.615976Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.027568 , 1.9696768, 0.0203312, 3.9526368, 0.0098112, 0.0194064,\n",
       "       1.9728544, 0.0276576])"
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "codomino.simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:09.442300Z",
     "start_time": "2024-07-09T20:50:08.741241Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:40.626369Z",
     "iopub.status.busy": "2025-09-28T07:00:40.625368Z",
     "iopub.status.idle": "2025-09-28T07:00:41.095039Z",
     "shell.execute_reply": "2025-09-28T07:00:41.095039Z",
     "shell.execute_reply.started": "2025-09-28T07:00:40.626369Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = codomino.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:09.597888Z",
     "start_time": "2024-07-09T20:50:09.445306Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:41.096047Z",
     "iopub.status.busy": "2025-09-28T07:00:41.096047Z",
     "iopub.status.idle": "2025-09-28T07:00:41.180380Z",
     "shell.execute_reply": "2025-09-28T07:00:41.180380Z",
     "shell.execute_reply.started": "2025-09-28T07:00:41.096047Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = codomino.simulator.show_average_queues(sort=True, as_time=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:01.579056Z",
     "start_time": "2024-07-09T20:50:01.570937Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:41.182413Z",
     "iopub.status.busy": "2025-09-28T07:00:41.181410Z",
     "iopub.status.idle": "2025-09-28T07:00:41.190011Z",
     "shell.execute_reply": "2025-09-28T07:00:41.188433Z",
     "shell.execute_reply.started": "2025-09-28T07:00:41.182413Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 1, 0, 1, 0, 0, 1, 0]"
      ]
     },
     "execution_count": 104,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rewards = [1 * (i not in codomino.vertices[0][\"null_edges\"]) for i in range(8)]\n",
    "rewards"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-09-27T21:16:45.488497Z",
     "iopub.status.busy": "2025-09-27T21:16:45.487500Z",
     "iopub.status.idle": "2025-09-27T21:16:45.491983Z",
     "shell.execute_reply": "2025-09-27T21:16:45.491477Z",
     "shell.execute_reply.started": "2025-09-27T21:16:45.488497Z"
    }
   },
   "source": [
    "### Extended-Gradient Primal-Dual (EGPD)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:08.703329Z",
     "start_time": "2024-07-09T20:50:01.583302Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:41.191011Z",
     "iopub.status.busy": "2025-09-28T07:00:41.191011Z",
     "iopub.status.idle": "2025-09-28T07:00:44.778990Z",
     "shell.execute_reply": "2025-09-28T07:00:44.778990Z",
     "shell.execute_reply.started": "2025-09-28T07:00:41.191011Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "codomino.run(\"virtual_queue\", rewards=rewards, beta=0.01, n_steps=10000000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:08.711862Z",
     "start_time": "2024-07-09T20:50:08.705342Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:44.779999Z",
     "iopub.status.busy": "2025-09-28T07:00:44.779999Z",
     "iopub.status.idle": "2025-09-28T07:00:44.784982Z",
     "shell.execute_reply": "2025-09-28T07:00:44.784982Z",
     "shell.execute_reply.started": "2025-09-28T07:00:44.779999Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-b4b9ebbf-ca4c-479a-a189-3f0bc0d7a459\">\n",
       "<div id=\"b4b9ebbf-ca4c-479a-a189-3f0bc0d7a459\"></div>\n",
       "<a href=\"#\" id=\"fit-b4b9ebbf-ca4c-479a-a189-3f0bc0d7a459\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-b4b9ebbf-ca4c-479a-a189-3f0bc0d7a459 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#b4b9ebbf-ca4c-479a-a189-3f0bc0d7a459 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"4\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"2\", \"title\": \"3\"}, {\"id\": 4, \"label\": \"4\", \"title\": \"4\"}, {\"id\": 5, \"label\": \"2\", \"title\": \"5\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"0.00829\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"1.99\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"0.00593\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 4)\", \"label\": \"3.98\", \"color\": \"blue\", \"from\": 1, \"to\": 4}, {\"title\": \"4: (2, 3)\", \"label\": \"0.00328\", \"color\": \"blue\", \"from\": 2, \"to\": 3}, {\"title\": \"5: (3, 4)\", \"label\": \"0.00931\", \"color\": \"blue\", \"from\": 3, \"to\": 4}, {\"title\": \"6: (3, 5)\", \"label\": \"1.99\", \"color\": \"blue\", \"from\": 3, \"to\": 5}, {\"title\": \"7: (4, 5)\", \"label\": \"0.0106\", \"color\": \"blue\", \"from\": 4, \"to\": 5}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('b4b9ebbf-ca4c-479a-a189-3f0bc0d7a459');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-b4b9ebbf-ca4c-479a-a189-3f0bc0d7a459').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "codomino.show_flow()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:08.737233Z",
     "start_time": "2024-07-09T20:50:08.713975Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:44.785989Z",
     "iopub.status.busy": "2025-09-28T07:00:44.785989Z",
     "iopub.status.idle": "2025-09-28T07:00:44.794104Z",
     "shell.execute_reply": "2025-09-28T07:00:44.794104Z",
     "shell.execute_reply.started": "2025-09-28T07:00:44.785989Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([8.2896000e-03, 1.9915008e+00, 5.9280000e-03, 3.9822880e+00,\n",
       "       3.2800000e-03, 9.3072000e-03, 1.9884384e+00, 1.0620800e-02])"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "codomino.simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:09.442300Z",
     "start_time": "2024-07-09T20:50:08.741241Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:44.795110Z",
     "iopub.status.busy": "2025-09-28T07:00:44.795110Z",
     "iopub.status.idle": "2025-09-28T07:00:45.148511Z",
     "shell.execute_reply": "2025-09-28T07:00:45.148511Z",
     "shell.execute_reply.started": "2025-09-28T07:00:44.795110Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = codomino.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:09.597888Z",
     "start_time": "2024-07-09T20:50:09.445306Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:45.149520Z",
     "iopub.status.busy": "2025-09-28T07:00:45.148511Z",
     "iopub.status.idle": "2025-09-28T07:00:45.238746Z",
     "shell.execute_reply": "2025-09-28T07:00:45.238746Z",
     "shell.execute_reply.started": "2025-09-28T07:00:45.149520Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = codomino.simulator.show_average_queues(sort=True, as_time=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Constant-Regret Primal-Dual (CRPD)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:08.703329Z",
     "start_time": "2024-07-09T20:50:01.583302Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:45.240010Z",
     "iopub.status.busy": "2025-09-28T07:00:45.240010Z",
     "iopub.status.idle": "2025-09-28T07:00:49.219822Z",
     "shell.execute_reply": "2025-09-28T07:00:49.219314Z",
     "shell.execute_reply.started": "2025-09-28T07:00:45.240010Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 110,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from numba import njit\n",
    "v = njit(lambda t: (t+1)**.2)\n",
    "codomino.run(\"constant_regret\", rewards=rewards, fading=v, n_steps=10000000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:08.711862Z",
     "start_time": "2024-07-09T20:50:08.705342Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:49.220829Z",
     "iopub.status.busy": "2025-09-28T07:00:49.220829Z",
     "iopub.status.idle": "2025-09-28T07:00:49.226266Z",
     "shell.execute_reply": "2025-09-28T07:00:49.225760Z",
     "shell.execute_reply.started": "2025-09-28T07:00:49.220829Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"sm-graph\" id=\"box-87876a6d-4ca1-4775-8ec7-0b1ed90cac24\">\n",
       "<div id=\"87876a6d-4ca1-4775-8ec7-0b1ed90cac24\"></div>\n",
       "<a href=\"#\" id=\"fit-87876a6d-4ca1-4775-8ec7-0b1ed90cac24\"\n",
       "  style=\"position: absolute; left: 10px; bottom: 10px; text-decoration: none; color: #888; font-size: min(2vw, 10px);\n",
       "  z-index: 10; pointer-events: auto;\"\n",
       "> Reload\n",
       "</a>\n",
       "<style>\n",
       "#box-87876a6d-4ca1-4775-8ec7-0b1ed90cac24 {\n",
       "position: relative;\n",
       "width: 100%;\n",
       "height: 300px !important;\n",
       "max-width: 100vw;\n",
       "max-height: 100vh !important;\n",
       "}\n",
       "#87876a6d-4ca1-4775-8ec7-0b1ed90cac24 {\n",
       "  height: 100%;   /* Make the inner div fill the parent */\n",
       "}\n",
       "</style>\n",
       "</div>\n",
       "<script type=\"module\">\n",
       "import { DataSet, Network } from \"https://unpkg.com/vis-network/standalone/esm/vis-network.min.js\";\n",
       "// CSS will be automatically injected into the page.\n",
       "function render () {\n",
       "    const nodes = new DataSet([{\"id\": 0, \"label\": \"2\", \"title\": \"0\"}, {\"id\": 1, \"label\": \"4\", \"title\": \"1\"}, {\"id\": 2, \"label\": \"2\", \"title\": \"2\"}, {\"id\": 3, \"label\": \"2\", \"title\": \"3\"}, {\"id\": 4, \"label\": \"4\", \"title\": \"4\"}, {\"id\": 5, \"label\": \"2\", \"title\": \"5\"}]);\n",
       "    const edges = new DataSet([{\"title\": \"0: (0, 1)\", \"label\": \"0.0538\", \"color\": \"blue\", \"from\": 0, \"to\": 1}, {\"title\": \"1: (0, 2)\", \"label\": \"1.95\", \"color\": \"blue\", \"from\": 0, \"to\": 2}, {\"title\": \"2: (1, 2)\", \"label\": \"0.0355\", \"color\": \"blue\", \"from\": 1, \"to\": 2}, {\"title\": \"3: (1, 4)\", \"label\": \"3.91\", \"color\": \"blue\", \"from\": 1, \"to\": 4}, {\"title\": \"4: (2, 3)\", \"label\": \"0.0171\", \"color\": \"blue\", \"from\": 2, \"to\": 3}, {\"title\": \"5: (3, 4)\", \"label\": \"0.0386\", \"color\": \"blue\", \"from\": 3, \"to\": 4}, {\"title\": \"6: (3, 5)\", \"label\": \"1.95\", \"color\": \"blue\", \"from\": 3, \"to\": 5}, {\"title\": \"7: (4, 5)\", \"label\": \"0.0505\", \"color\": \"blue\", \"from\": 4, \"to\": 5}]);\n",
       "    const data = {\n",
       "            nodes: nodes,\n",
       "            edges: edges,\n",
       "    };\n",
       "    const options = {\"interaction\": {\"navigationButtons\": false}, \"width\": \"100%\", \"height\": \"300px\"};\n",
       "    const container = document.getElementById('87876a6d-4ca1-4775-8ec7-0b1ed90cac24');\n",
       "    const network = new Network(container, data, options);\n",
       "    network.fit({maxZoomLevel: 10});\n",
       "    network.redraw();\n",
       "}\n",
       "\n",
       "render();\n",
       "document.getElementById('fit-87876a6d-4ca1-4775-8ec7-0b1ed90cac24').addEventListener('click', function(event) {\n",
       "    event.preventDefault();  // Prevent page jump\n",
       "    render(); // Adjust zoom limit as needed\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "codomino.show_flow()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:08.737233Z",
     "start_time": "2024-07-09T20:50:08.713975Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:49.227274Z",
     "iopub.status.busy": "2025-09-28T07:00:49.227274Z",
     "iopub.status.idle": "2025-09-28T07:00:49.233140Z",
     "shell.execute_reply": "2025-09-28T07:00:49.233140Z",
     "shell.execute_reply.started": "2025-09-28T07:00:49.227274Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.0537568, 1.9464192, 0.035488 , 3.9115984, 0.017136 , 0.0385824,\n",
       "       1.9464   , 0.0505264])"
      ]
     },
     "execution_count": 112,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "codomino.simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:09.442300Z",
     "start_time": "2024-07-09T20:50:08.741241Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:49.234148Z",
     "iopub.status.busy": "2025-09-28T07:00:49.234148Z",
     "iopub.status.idle": "2025-09-28T07:00:49.542252Z",
     "shell.execute_reply": "2025-09-28T07:00:49.542252Z",
     "shell.execute_reply.started": "2025-09-28T07:00:49.234148Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = codomino.simulator.show_ccdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-09T20:50:09.597888Z",
     "start_time": "2024-07-09T20:50:09.445306Z"
    },
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:49.543601Z",
     "iopub.status.busy": "2025-09-28T07:00:49.542252Z",
     "iopub.status.idle": "2025-09-28T07:00:49.651855Z",
     "shell.execute_reply": "2025-09-28T07:00:49.651855Z",
     "shell.execute_reply.started": "2025-09-28T07:00:49.543601Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = codomino.simulator.show_average_queues(sort=True, as_time=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Running multiple simulations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The methods exposed above are for the analysis of a single model.\n",
    "\n",
    "Simulations can be also be batched to quickly build a serie of experiments. Key ingredients:\n",
    "\n",
    "- `Iterator`: builds a variable parameter.\n",
    "- `XP`: builds a serie of simulation to run.\n",
    "- `evaluate`: run simulations and extract metrics out of it.\n",
    "\n",
    "(see the reference section for details)\n",
    "\n",
    "Below are two toy examples."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Measuring the delay of a fobidden-edge policy on a injective-only vertex"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:49.652862Z",
     "iopub.status.busy": "2025-09-28T07:00:49.652862Z",
     "iopub.status.idle": "2025-09-28T07:00:49.664053Z",
     "shell.execute_reply": "2025-09-28T07:00:49.664053Z",
     "shell.execute_reply.started": "2025-09-28T07:00:49.652862Z"
    }
   },
   "outputs": [],
   "source": [
    "from stochastic_matching import XP, Iterator, evaluate\n",
    "from multiprocess import Pool"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For most scenarios, one single long simulation is enough. However, what we measure here is related to a unbiased random walk, so we will build a redundant iterator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:49.665551Z",
     "iopub.status.busy": "2025-09-28T07:00:49.665551Z",
     "iopub.status.idle": "2025-09-28T07:00:49.672587Z",
     "shell.execute_reply": "2025-09-28T07:00:49.672587Z",
     "shell.execute_reply.started": "2025-09-28T07:00:49.665551Z"
    }
   },
   "outputs": [],
   "source": [
    "xp  = XP(name='RW', simulator='longest', model=sm.CycleChain(), \n",
    "         iterator=Iterator('n_steps', [2**t for t in range(10, 21) for _ in range(1000)], name='T'),\n",
    "         forbidden_edges=True, rewards=[0, 1, 1, 1, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-09-28T07:00:49.673600Z",
     "iopub.status.busy": "2025-09-28T07:00:49.673600Z",
     "iopub.status.idle": "2025-09-28T07:01:44.271328Z",
     "shell.execute_reply": "2025-09-28T07:01:44.271328Z",
     "shell.execute_reply.started": "2025-09-28T07:00:49.673600Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "60cc6adac9a5480f8f426e725e068c24",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/11000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with Pool() as p:\n",
    "    res = evaluate(xp, [\"delay\"], p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's gather everything."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-09-28T07:01:44.272336Z",
     "iopub.status.busy": "2025-09-28T07:01:44.272336Z",
     "iopub.status.idle": "2025-09-28T07:01:44.280356Z",
     "shell.execute_reply": "2025-09-28T07:01:44.279842Z",
     "shell.execute_reply.started": "2025-09-28T07:01:44.272336Z"
    }
   },
   "outputs": [],
   "source": [
    "from collections import defaultdict\n",
    "metrics = defaultdict(list)\n",
    "for t, d in zip(res['RW']['T'], res['RW']['delay']):\n",
    "    metrics[t].append(d)\n",
    "for k, v in metrics.items():\n",
    "    metrics[k] = np.average(v)\n",
    "steps = [k for k in metrics]\n",
    "delay = [v for v in metrics.values()]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And plot!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-09-28T07:01:44.281363Z",
     "iopub.status.busy": "2025-09-28T07:01:44.281363Z",
     "iopub.status.idle": "2025-09-28T07:01:44.450360Z",
     "shell.execute_reply": "2025-09-28T07:01:44.450360Z",
     "shell.execute_reply.started": "2025-09-28T07:01:44.281363Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "plt.plot(steps, delay, label='$\\\\phi_{E^*}$')\n",
    "plt.plot(steps, [np.sqrt(t)/20 for t in steps], label='$\\\\frac{\\\\sqrt{T}}{20}$')\n",
    "plt.xlim([0, None])\n",
    "plt.ylim([0, None])\n",
    "plt.xlabel('T')\n",
    "plt.ylabel('D')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparing delay/regret trade-off for two policies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-09-28T07:01:44.451370Z",
     "iopub.status.busy": "2025-09-28T07:01:44.451370Z",
     "iopub.status.idle": "2025-09-28T07:01:44.457499Z",
     "shell.execute_reply": "2025-09-28T07:01:44.457499Z",
     "shell.execute_reply.started": "2025-09-28T07:01:44.451370Z"
    }
   },
   "outputs": [],
   "source": [
    "xp  = XP(name='$k$-filtering', simulator='longest', model=sm.CycleChain(), \n",
    "         iterator=Iterator('k', [2**t for t in range(10)]),\n",
    "         forbidden_edges=True, rewards=[1, 1, 1, 1, 0])\n",
    "xp += XP(name='EGPD', simulator='virtual_queue', model=sm.CycleChain(), \n",
    "         iterator=Iterator('beta', [2**(-t) for t in range(10)]),\n",
    "         rewards=[1, 1, 1, 1, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-09-28T07:01:44.460527Z",
     "iopub.status.busy": "2025-09-28T07:01:44.459527Z",
     "iopub.status.idle": "2025-09-28T07:02:07.484679Z",
     "shell.execute_reply": "2025-09-28T07:02:07.484679Z",
     "shell.execute_reply.started": "2025-09-28T07:01:44.460527Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "bc4eca9a2c3e4722a7bee5b524b42046",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/20 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with Pool() as p:\n",
    "    res = evaluate(xp, [\"delay\", \"regret\"], p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-09-28T07:02:07.485684Z",
     "iopub.status.busy": "2025-09-28T07:02:07.485684Z",
     "iopub.status.idle": "2025-09-28T07:02:07.720778Z",
     "shell.execute_reply": "2025-09-28T07:02:07.720269Z",
     "shell.execute_reply.started": "2025-09-28T07:02:07.485684Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for policy, metrics in res.items():\n",
    "    plt.loglog(metrics['delay'], metrics['regret'], marker='o', label=policy)\n",
    "plt.xlabel('Delay')\n",
    "plt.ylabel('Regret')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.8"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": true,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {
    "height": "calc(100% - 180px)",
    "left": "10px",
    "top": "150px",
    "width": "415.99px"
   },
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}