{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "2151c15a-19d4-4dd1-a2c6-4d1d11e5783e",
   "metadata": {},
   "source": [
    "# FeynMF\n",
    "\n",
    "From: \n",
    " - https://ctan.math.illinois.edu/macros/latex/contrib/feynmf/fmfman.pdf\n",
    " - https://www2.pd.infn.it/TeX/doc/latex/feynmf/manual.pdf"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2dfe2c3b-6f28-42fd-8d2e-5572d6d8da74",
   "metadata": {},
   "source": [
    "## Box"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ef74b6e9-8cec-48d6-9b1b-e3ea4b1109f5",
   "metadata": {},
   "outputs": [],
   "source": [
    "from feynml import *\n",
    "from feynml.topology import two_to_two as t2t\n",
    "from pyfeyn2.auto import auto_default\n",
    "from pyfeyn2.render.all import AllRender"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "bd8b4fe0-e7ee-4136-a5f1-3e81393ecf6d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tikz:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: 40e3b35 'PDF' (371x371)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pyx:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: e833cf4 'PDF' (741x741)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynmp:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: 1a63a35 'PDF' (180x111)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynman:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dot:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: 901c333 'PDF' (1059x992)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mermaid:\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
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      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "asciipdf:\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<wand.image.Image: 3456205 'PDF' (780x1715)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "unicodepdf:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: d1f9d7e 'PDF' (477x9)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "madgraph:\n",
      "madgraph failed:\n",
      "Traceback (most recent call last):\n",
      "  File \"/home/apn/git/pyfeyn2/pyfeyn2/render/all.py\", line 113, in render\n",
      "    render(fd).render(dirpath + \"/\" + name + \".pdf\", **dynarg)\n",
      "    ~~~~~~^^^^\n",
      "  File \"/home/apn/git/pyfeyn2/pyfeyn2/render/ps/madgraph.py\", line 77, in __init__\n",
      "    self.set_feynman_diagram(fd)\n",
      "    ~~~~~~~~~~~~~~~~~~~~~~~~^^^^\n",
      "  File \"/home/apn/git/pyfeyn2/pyfeyn2/render/ps/madgraph.py\", line 131, in set_feynman_diagram\n",
      "    self.set_src(feynman_to_ps(fd))\n",
      "                 ~~~~~~~~~~~~~^^^^\n",
      "  File \"/home/apn/git/pyfeyn2/pyfeyn2/render/ps/madgraph.py\", line 47, in feynman_to_ps\n",
      "    line = type_map[style.getProperty(\"line\").value]\n",
      "           ~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n",
      "KeyError: 'boson'\n",
      "\n"
     ]
    }
   ],
   "source": [
    "fd = t2t.v_channel(\"b\",\"c_bar\",\"b_bar\",\"c\")\n",
    "fd.insert_vertex_loop(fd.vertices[0],\"W+\",\"t_bar\",\"W-\",\"t\")\n",
    "# Fix top arrow orientation in box\n",
    "for t in filter(lambda t : t.name == \"t\", fd.propagators):\n",
    "    t.conjugate()\n",
    "ar = AllRender(auto_default(fd))\n",
    "ar.render()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03549020-b0a4-4fb0-958f-80b1b8e5d23e",
   "metadata": {},
   "source": [
    "## 2 to 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "76b56e86-320e-4e69-804a-ffa7068396f5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tikz:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: 241d7af 'PDF' (371x372)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pyx:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: 6a0abf6 'PDF' (747x741)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynmp:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: 14b3c7e 'PDF' (180x111)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynman:\n"
     ]
    },
    {
     "data": {
      "image/png": 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+5cuX4+effxZqhQsXxvr161GgQAFDtEi5wHBghFQqlezqwerVq/H8+XOFOiIierslS5bg+vXrmDRpEjIyMoR9p06dkv1Ms7a2xqpVq1C+fHlDtkk5xHBgpIKDg2FjY6PdTklJwYoVKxTsiIgoe5Ik4e+//wbw3xWE9evXa/fFxcUhICAAKSkpwmumT5+O1q1bG7RPyjmGAyPl4eGBTp06CTXeWiAiY3TixAlcvnwZwH9XBF5NbJSWloYePXogJiZGOP6jjz7C8OHDDd4n5RzDgRHLehnu8OHDuHLlikLdEBFlb/78+dornWq1Grt378a1a9cwbNgwHD58WDjW19cXM2fO5NTIRk4lcV1go5WRkQEvLy/Ex8dra2PHjsVvv/2mYFdERP8nOTkZHh4ewjow1tbWaN68Ofbu3SscW6ZMGRw7dgzu7u6GbpNyiVcOjJitrS369u0r1BYuXAi1Wq1QR0REorVr18oWiFOr1bJg4OzsjHXr1jEYmAiGAyOX9dbC/fv3sX37doW6ISIS/f3338KCcW+yaNEi1KpVywAdkS7wtoIJaNCgAU6cOKHd7tmzJ59cICLF3bp1K0ePIjo5OaFly5aoX78+6tati7p168Lb25vjDowYrxyYgKxXD9atW4cnT54o1A0R0X/Cw8NzNLNhcnIytm7dit9++w3du3dH6dKlUbhwYdlyzWQ8GA5MwAcffAB7e3vtdnp6OpYuXapgR0Rk6dRqNebNm5fjMVCSJAmrMD5//lynv+SoVKpcfdHbMRyYgMKFC6Nbt25CjXMeEJGSoqOj8eDBg1y/zsrKCt7e3ti6dSu+/fZbnfUjSVKuvujtGA5MxIABA4TtU6dO4dy5c8o0Q0QWb968ecIsru9ibW0NKysrfPHFF7hy5Qrat2+vx+4ovxgOTES7du1QsmRJocarB0SkhMePH2Pt2rXCbYJ38fHxwenTpzFhwgQ4OTnpsTvSBYYDE2FtbY0PP/xQqC1evBjp6ekKdURElmrp0qU5GmtgbW0NZ2dnzJo1C0eOHDHoo4xRUVHo3LkzPDw8YG9vj9KlS6NPnz44f/68wXowZQwHJiTrrYVHjx5h8+bNyjRDRBbr77//fut9+1cD/rp27Ypr165h+PDhOXqqQRcyMzPRu3dvdO/eHefPn0ePHj3w2WefwcfHB6tXr0ZsbKxB+jB1nOfAxDRv3hwHDx7Ubnft2hXr1q1TsCMisiSnTp1CvXr13rjfysoKxYoVw9y5c9GlSxcDdvafYcOGYe7cuQgNDcXUqVOFcRExMTEoWLAgXF1dDd6XqWE4MDHz58/H4MGDtdvW1taIjY1FsWLFFOyKiCxFhw4dsHXrVlnd2toaGo0Gn332GX766Se4uLgYvLf9+/fD19cX/v7+2Lx5Mx9ZzAfeVjAxQUFBwmAetVqNxYsXK9gREVmKY8eOZRsMAKB69eo4fvw4pk6dqkgwAIBp06YBAH7//XcGg3xiODAxrq6ueP/994XaggUL+NwuEelVfHw8OnXqJKvb2NhgypQpOHny5FtvNxjC9u3bUaZMGdSuXVvRPswBw4EJyjqd8sWLF4W1F4iIdCk9PR3vv/8+Hj16JNS9vLxw48YNfP7557ma80Afnj17hsTERJQpU0bRPswFw4EJ8vX1lf0PwDkPiEgfJElCaGgo9u/fL9QrV66M69evo3Tp0gp1Jnp19TQ+Pl7hTswDw4EJsrKykj3WGBkZidTUVGUaIiKzNWvWLPzzzz9CzdPTE3v37oWDg4NCXckVLlwY5cqVw+XLl7Fz507Z/qtXryrQleni0wom6s6dOyhbtqxQi4yMRO/evRXqiIjMTXR0NNq3by9MeOTo6IiDBw/Cx8dHwc6yt2LFCvTq1Qs2NjYICAhA+fLlER8fj0OHDqFatWpYu3at0i2aDIYDE9amTRvs2rVLu92+ffs3jiQmIsqNGzduoGHDhnj69KlQX7FiBXr27KlQV++2bds2TJo0CcePH0dqaio8PDzQsGFDjBw5Ei1atFC6PZPBcGDCFi9ejH79+mm3VSoV7t69Cy8vLwW7IiJT9/z5czRp0gSXL18W6t9++y1+/PFHhboiQ+KYAxPWo0cPFChQQLstSRIWLlyoYEdEZOrUajWCg4NlwaB79+74/vvvlWmKDI7hwIQ5OTmhV69eQi0sLIxzHhBRnn399dfYtGmTUKtVqxYWLlwIKyt+ZFgK/pc2cVnnPLh586aw9gIRUU4tXrwYEydOFGpubm5Yt26dYrMekjI45sDESZKE8uXL4/bt29pay5YtsWfPHuWaIiKTc/ToUbRs2RJpaWnamo2NDaKjo+Hr66tgZ6QEXjkwcSqVSvb44t69e3n1gIhyLDY2Ft27dxeCAQDMnj2bwcBC8cqBGbh69SqqVKki1AoWLIirV69ytUYiequUlBT4+vrKpmAPDQ3FzJkzFeqKlMZwYAYyMjJgZ2cnqzdu3Bh79+7Ndh8RkSRJ6Nu3L5YuXSrU27Rpg61btyq+XgIph7cVzICtrW22o4iPHj2KTz75hE8vEFG2JkyYIAsG5cuXx4oVKxgMLByvHJgJFxcXJCUlZbtv1qxZGD58uIE7IiJjtmHDBgQEBAi/PLi6uuLIkSOoVq2agp2RMWA4MBMeHh5ISEjIdp+1tTV27tyJVq1aGbYpIjJKFy9eROPGjZGYmKitqVQqbNiwAZ06dVKwMzIWvK1gJhwdHd+4T5IkdO/eHXfu3DFcQ0RklB4/foyuXbsKwQAAfv/9dwYD0mI4MBNOTk5v3KfRaJCYmIhOnTrJfiAQkeXIyMhAz549cevWLaHet29fjBkzRqGuyBgxHJiJd81elpmZiatXr+LDDz/kAEUiC/X5559j9+7dQq1hw4b4559/oFKpFOqKjBHDgZnIydSmarUaa9euxc8//2yAjojImMydOxezZs0Sap6enli7di0cHBwU6oqMFcOBmcjNvOfjx4/HunXr9NgNERmTvXv3IjQ0VKjZ29sjKioKnp6eCnVFxozhwEw4OzvneMU0lUqFDz74ABcuXNBzV0SktNu3byMwMBCZmZlCPSwsDA0aNFCoKzJ2DAcmrlWrVggPD4eTk1OOw4EkSUhPT0enTp3w5MkTPXdIREp5+fIlAgIC8PjxY6E+duxY9OnTR6GuyBQwHJgJZ2fnXA0oUqvViI2Nxfvvvy/7jYKITJ9Go8GHH36I8+fPC/XOnTtz3BG9E8OBmXjbo4yvs7Gx0U6LqlarsXv3bnzxxRf6bI2IFPDdd98hKipKqFWrVg1LliyBtbW1Mk2RyeDk2WYiJ+GgYcOG6NSpE27duoVr167hxo0bSEhIwLlz5wzQIREZyvLly2VXB4oUKYL169ejQIECCnVFpoTTJ5uYX3/9Fb/++qt2OyUlBba2ttBoNMjIyNDWra2t4ejoKEx6ZGdnh/v376No0aLC6zMzM+Hq6mqYb4CI9OrUqVNo3rw5UlJStDVra2ts374drVu3VrAzMiW8rWAk1Go1wsLC0LJlSxQsWBAODg6oV68e1qxZIxw3bNgwnDlzRvtVv359/Pjjjxg3bpx2zIFKpYKtrS3WrVsHe3t77WvT09NlK7A5OjoyGBCZibi4OAQEBAjBAACmT5/OYEC5wnBgBFJTU9G+fXsMGjQIL1++REhICEJCQnD37l0EBgZiyZIl2mOLFCmCChUqaL8cHR3h4eGB0qVLCzMfLl++HK1bt0a3bt2Ecy1YsMBQ3xYRGVBaWhp69OiBmJgYoT506FCuykq5xnBgBAYOHIjo6GjMmDEDp06dwrRp0zBnzhycO3cObm5u+Oabb975Hq+POZg+fTq6du0KAAgJCRGOO336NM6ePavbb4CIFCVJEoYNG4bDhw8LdV9fX8yYMYNTI1OuMRwoLDo6GpGRkRg6dChGjBgh7CtRogQ6duyIO3fuvHE55lfc3d1hZWWFzz77THiftm3bwsvLSziWVw+IzMvUqVMRHh4u1MqUKYNVq1bBzs5OmabIpHFAosK6d++OqKgoDB48GCVLlpTt37RpE06cOIG4uDgUK1bsre+VkJCAIkWKyB5TGjdunDCI0c3NDbGxsfyhQWQGtm7dik6dOkGj0Whrzs7OOHToEGrVqqVgZ2TKGA4U5urq+s5llO3t7ZGcnJzjGRCzun79OipVqiTU1qxZg+7du+fp/YjIOFy9ehWNGjXC8+fPhfratWtl442IcoO3FRT07NkzJCYmIiAgAJIkvfErNTU1z8EAACpWrIjmzZsLNd5aIDJtT58+RdeuXWXB4KeffmIwoHxjOFDQq4s2jx490vu5sg5M3Lx5M+Li4vR+XiLSvczMTPTu3RvXrl0T6r169cK4ceMU6orMCcOBggoXLoyKFSviyJEj2LVrl2x/enq6bPRxXvXs2VN4okGtVmPx4sU6eW8iMqwvv/wS27dvF2p169ZFWFgYn0wgneCYA4VFRUUhMDAQANCxY0dUrVoVycnJiImJwYEDB+Dv76+zD/H+/ftj4cKF2u1q1arhwoUL/GFCZELCwsIwaNAgoVasWDEcP34c3t7eCnVF5obhwAjs27cPEydOxJEjR/D8+XMUKVIE3t7eaN26NQYMGIBq1arp5Dx79uyBn5+fUDt69CgaNmyok/cnIv06ePAg/Pz8hKnS7ezssGfPHjRp0kTBzsjcMBxYEI1GgwoVKuD27dva2rBhwzBnzhwFuyKinLh79y4aNGiA+Ph4oR4eHo7+/fsr1BWZK445sCBWVlYYMGCAUIuMjJTNw05ExiUpKQkBAQGyYDBq1CgGA9ILhgML079/f2GMwfPnz2VrvhOR8ZAkCSEhIThz5oxQ9/f3x8SJE5Vpiswew4GFKV26tGx1tqzTrhKR8fj555+xcuVKoVapUiVERkbKZkMl0hWGAwuUdc6DHTt24N69ewp1Q0RvsmbNGowfP16oFSxYEOvXr0ehQoWUaYosAsOBBerevTsKFCig3ZYkSXjEkYiUd/bsWfTr10+oWVlZYfny5ahcubJCXZGlYDiwQE5OTujdu7dQCw8PBx9cITIeK1euRHJyslD7448/0L59e4U6IkvCcGChsj61cOPGDRw4cECZZohI5qeffsKwYcO029bW1qhdu7aCHZElYTiwUI0bN5ZdmuRiTETGIy4uTvh/Uq1Wo02bNvjuu+94lY/0juHAQqlUKtnAxBUrVrxz+WgiMoxNmzYhLS1NVv/xxx/Rpk0bvHjxQoGuyFIwHFiwfv36CUtBJyUlYdWqVQp2RESvDB48GJs2bYKdnZ1s3+7du1GpUiWcOnVKgc7IEjAcWDBPT0/4+/sLNd5aIDIeHTt2xPXr11GsWDHZvocPH6JRo0aYNWsWbzOQzjEcWListxb27duHmzdvKtQNEWVVqlQp3Lx5Ew0aNJDty8zMRGhoKIKCgvD8+XMFuiNzxXBg4bp06YIiRYoItYiICIW6IaLsODs74/Dhw+jbt2+2+1etWoW6devixIkTBu6MzBXDgYWzt7dHcHCwUIuIiIBGo1GoIyLKjrW1NRYuXIjPP/882/23bt1C06ZNMXPmTN5moHxjOCDZrYW7d+9i165dCnVDRG+iUqkwefJkjBw5Mtv9GRkZ+PTTT/H+++/j2bNnBu2NzAvDAaFOnTqoVauWUOPARCLjpFKp8Mcff6BTp05vPGbNmjXw8fHBsWPHDNgZmROGA8p2zoM1a9bwNw8iI2VtbY2wsLC3HnPnzh00b94c06dP520GyjWGAwIABAcHw8bGRrudmpqK5cuXK9gREWWVlpaGCxcuYMGCBfj4449l+11dXYXtjIwMjBw5Ej169MDTp08N1SaZAZXESEn/X48ePbB27VrtdqNGjXDkyBEFOyIyD5mZmXj48CHi4+ORkJCAhIQEJCUlITU1VfhKSUlBcnIykpKSkJiYiKSkJO2/x8XFISEh4Y3nsLGxwZEjRzBy5Mhs10kpXbo0li9fjkaNGunzWyUzwXBAWhs2bEDXrl2F2qVLl1C1alWFOiIyTSkpKdiwYQO2bNmCM2fO4NKlS0hPT9frOb///nt89913yMzMxPjx4/Hbb7/JjrGxscGECRPw+eefQ6VS6bUfMm0MB6SVmZkJLy8vPHz4UFv78ssvMWHCBAW7IjItCxYswNixYxEfH2+Q87m4uOCnn37CZ599Jnzgb9u2DX379sWjR49kr+nSpQvCw8Nlc5wQvcJwQIIxY8bgjz/+0G4XL14c9+7dE8YjEFH2/vjjD4wZM0bv5ylVqhQaNmyItm3bIigoCIULF872uNjYWPTp0wf79u2T7fP29sby5cvRpEkTfbdLJojhgASXLl1C9erVhdrGjRvf+tgUEf231kGpUqXeevvAysoKbm5ucHd3h6urKxwdHeHg4CD809HRES4uLnB2dha+ihYtCm9vb3h5eaFgwYI57iszMxM//PADfvnlF9lTCzY2Nvj1118xevRoYRE2IoYDkmnUqJHwfHRgYCBXayR6h5UrVyIoKEio+fn5oWvXrvDx8UHVqlXh5uam2Ifwjh07EBwcnO2gxk6dOiEiIgJFixZVoDMyRgwHJDNnzhwMHz5cu21ra4v79+/Dzc1Nwa6IjNvy5cvRu3dvofb8+XMUKFBAoY7kHjx4gD59+mDPnj2yfV5eXli2bBmaNWtm+MbI6PA6Esn07t0b9vb22u2MjAwsXbpUwY6IjF/jxo1ltY8//tioJiAqUaIEdu7cie+++072tEJMTAxatmyJCRMmcG0VYjggucKFC6N79+5CjdMpE71d6dKlERAQINSWLl2a7SOFSrK2tsb333+PHTt2oFixYsI+tVqNsWPHonPnzm+dU4HMH8MBZSvrdMpnzpzBmTNnlGmGyERMmTJFNlhw3LhxmDJlikIdvVmbNm1w5swZtG7dWrZvy5Yt8PHxwf79+xXojIwBwwFlq02bNvDy8hJqvHpA9HblypVDeHi4rD569Gh8+eWXRne5vnjx4ti+fTt++OEH2W2G2NhY+Pn54bfffjO6vkn/GA4oW9bW1ujfv79QW7Jkid5neSMydd26dcO0adNk9UmTJuH9999HcnKy4Zt6C2tra4wfPx7R0dEoXry4sE+tVuPrr79Gx44dDTapExkHhgN6owEDBgjbjx8/xsaNG5VphsiEfPbZZ5g4caKsvnbtWrRs2RIPHjxQoKu38/Pzw5kzZ9C2bVvZvm3btqFOnTrYu3evAp2REhgO6I0qVKiAFi1aCDXeWiDKmTFjxmD+/Pmy2UVPnDiBRo0a4dy5cwp19mbFihXD1q1b8dNPP8nmY3jw4AFat26Nn3/+GWq1WqEOyVA4zwG91YIFCzBw4EDttrW1NWJiYmSXH4koe7t370aPHj3w7Nkzoe7i4oLly5ejY8eOyjT2Dnv37sUHH3yQ7VWOtm3bYvHixbKnHch88MoBvdX7778PJycn7bZarcaiRYsU7IjItPj5+eHw4cMoV66cUE9MTESXLl0wa9YshTp7u5YtW+LMmTN47733ZPt27tyJOnXqYPfu3Qp0RobAcEBv5erqip49ewq1BQsWGNXELkTGrkqVKjh69Khs9kGNRoPQ0FB89tlnRnmp3sPDA1u2bMEvv/wiu80QFxeHtm3b4scffzTK3il/eFuB3mnv3r1o1aqVUDty5AgaNWqkTENEJio1NRWDBg3KdsbRrl27IjIyUrhSZ0z279+PDz74ALGxsbJ9rVu3xpIlS3i70YzwygG9k6+vr+ySKAcmEuWeg4MDFi9ejO+++062b/369fDz8zPaRwZbtGiB06dPw9/fX7Zv165dqFOnDqKjoxXojPSB4YDeSaVSyR5rXLZsGVJSUpRpiMiEqVQqfP/991i8eDHs7OyEfceOHUOTJk1w8+ZNhbp7O3d3d2zatAm///47rK2thX0PHz5Eu3bt8N13373zNsP+/fvx999/67NVyifeVqAcuXv3LsqUKSOMNViyZAn69OmjYFdEpm3//v0ICAjA06dPhbqXlxf27NmD8uXLK9TZux08eBC9e/dGTEyMbF+rVq2wdOlSlChRItvX1qlTB2fPnsXatWvRrVs3PXdKecErB5QjpUqVQps2bYRadtPEElHOtWjRAgcPHkTp0qWFekxMDFq1aoV79+4p1Nm7NWvWDKdPn0anTp1k+/bs2YM6depgx44dsn2SJOHGjRsAgIEDB+Lhw4d675Vyj+GAcizrYkw7d+7E3bt3FeqGyDxUrVoVR44cQZ06dYR6TEwMunXrZnTTLb/Ozc0N69evx6RJk2S3GeLj49G+fXt8++23yMzMFOpJSUkAgBcvXmDgwIF8+skIMRxQjnXr1g0FChTQbkuShIULFyrYEZF5KF68OKKjo+Hj4yPUT506hZEjRyrTVA5ZWVnhiy++wP79++Ht7S3skyQJP//8M9q0aYP79+8DAK5du6bdr1arsXnzZsybN8+gPdO7ccwB5crQoUOFgUTly5fH9evXZSu6EVHuPXnyBE2aNBE+QAHg9OnTsisLxujJkycYMGAANmzYINvn7u6ORYsWISYmBoMHDxb2OTg44MKFC0Y9xsLS8MoB5UrWWws3b97kmu9EOlKkSBGsW7cOzs7OQt1UHh1+1f/kyZNla0okJCTA398f8+bNg62trbAvMzMTffr0EW4/kLIYDihXGjVqhCpVqgg1U/nBRWQKqlSpIltvwRgXaXoTlUqFUaNGYf/+/bKBlsB/E6hlZGQItczMTBw/fjzblSxJGbytQLk2ceJEfPXVV9ptZ2dnxMXFwcXFRcGuiExLRkYGkpOT8eTJE8TGxuLff//FqVOnsH//fhw/flw4tkuXLli/fr1Cnebd06dPERISgnXr1uXoeGtraxw7dgx169bVc2f0LgwHlGsPHjyAt7e3MNFJWFiY7JYDkTnLyMjAlStXcO3aNTx48AAPHjzA06dPkZycjKSkJO1XcnIykpOTkZKSIvx7bi6hh4eHo3///nr8bvRHkiRMmDAB48aNg0ajeeux1tbWKFeuHM6ePQtHR0cDdUjZYTigPOncuTM2bdqk3W7RogX27dunYEdE+vf06VPMnz8fa9aswcmTJ5Genq73c/bo0QMrV66ULXxkCuLi4jBjxgzMnDkTSUlJOXpk0crKCiNGjMC0adP03yC9EcMB5cnq1avx/vvvC7Xr16+jQoUKCnVEpF+rV6/G4MGD8ezZM4Ocz93dHWPHjsVnn30mm0PA2F2/fh2TJk1CeHg4NBpNnlZt3Llzp2ziNTIchgPKk/T0dHh6euLx48fa2jfffIOffvpJwa6I9GP37t1o06aN3ibrcXJyQsmSJVGpUiXUr18fTZs2hZ+fn2xUvyk4fvw4GjVqlK8/KysrK3h4eODSpUsoXLiwDrujnGI4oDz79NNPMXPmTO22t7c3bt++bXK/5RC9i5+fH/bs2ZPtPi8vL5QqVQolSpSAm5sbXFxc4OTkBGdnZzg7O2v/3dHREU5OTnBychL+3dXVFQULFjSbuULu3buH4OBgHDhwAMB/Ty+8a6xBdqysrBAUFITIyEhdt0g5wHBAeXb69GnZqOLt27ejXbt2CnVEpB8FChTAy5cvtduNGzfG+PHj0ahRIxQpUkTBzozXw4cPsWbNGixbtkw7F0pegkJkZCR69+6tjxbpLUxvhAsZDR8fH9SuXVuocc4DMkevTxsO/DcAt0OHDgwGb1GsWDF8/PHH2Lt3L+Li4jBnzhz4+vpqr5DkdIDlhx9+iNu3b+uzVcoGwwHlS9bHF9euXWuwAVtEhpL1atjkyZOxc+dOhboxPR4eHhg6dCh2796Nhw8fYu7cuWjZsiWsrKygUqneGhQyMjJQp04d3Lp1y4AdE28rUL48evQInp6ewoxnc+bMwbBhwxTsiki3rly5gho1agij7gsVKoTo6GhO2JMPjx49QlRUFJYvX45du3a99ZaDo6MjIiMjERAQYMAOLRevHFC+uLm5oUuXLkKNtxbI3FSpUkX2JM6zZ8/Qrl07nDp1SqGuTJ+bmxsGDx6MHTt2ID4+HvPmzUPbtm2zvZKQkpKCbt26YeTIkQaZX8LS8coB5dvGjRtlAeHixYuoVq2aQh0R6Z5Go0FgYCCioqKEurOzM5YtW4bOnTsr05gZevLkCWbMmIGJEyciJSVFtr9BgwZYvnw5ypYtq0B3loFXDijf/P39Ubx4caEWHh6uTDNEemJlZYWlS5eidevWQj0pKQkBAQGYPn263uZBsDRFihTB999/j7i4OHTv3l22//jx4/Dx8cGaNWsU6M4yMBxQvtnY2KBfv35CbdGiRVx+lcyOo6MjNmzYAD8/P6Gu0WgwcuRIhIaGmv3f+23btqFDhw4oVaoU7O3tUaxYMbRs2RIRERE6P1eBAgWwevVqzJ07F/b29sK+58+fIzAwEJ9++inS0tJ0fm5Lx3BAOjFgwABhOy4uDlu3blWmGSI9cnJywpYtW2SBGABmz56NLl264MWLFwp0pn9jxoyBv78/bt68iS5duuDzzz9H+/btcfv2bZw+fVov51SpVPjoo49w9OhRVKpUSbZ/5syZaNasGZ9m0DWJSEcaNmwoAdB+9ejRQ+mWiPRGo9FIP/30k/B3/tVXjRo1pDt37ijdok7dvHlTUqlUUrdu3SS1Wi3sU6vV0uPHj/Xew4sXL6Tg4OBs/8wLFCggrVy5Uu89WApeOSCdyTrnwYYNG/Do0SOFuiHSL5VKhW+++QaRkZGyS94XLlxAo0aNcOzYMYW6073Lly9DkiRUq1ZN9jSBlZWVQSaEcnV1xaJFizBv3jw4ODgI+168eIGePXsiNDQUqampeu/F3PFpBdKZZ8+eoUSJEsL/mNOmTcNnn32mYFdE+nf48GEEBAQgISFBqDs4OGDRokWyFUxNUWxsLCpVqoTU1FT07t0bvXr1Qtu2beHk5KRIP+fPn0dQUBCuXLki2+fj44MVK1Zwldh84JUD0plChQrJRhZzzgOyBE2aNMHRo0dRtWpVoZ6amoqePXti6tSpCnWmOyVLlsS+ffvQsWNHrFq1CgEBAXBzc0P//v3x4MEDg/dTs2ZNHD9+PNuxH6/WfVm+fLnB+zIbCt/WIDOzfft22b3AU6dOKd0WkUE8ffpUateuXbb3xD/77DMpMzNT6RZ1IjExUYqKipJatGghAZDatGmjWC8ajUYKCwuTHB0ds/1z//jjj6WUlBThNVu3bpX8/f0lb29vyc7OTvLw8JB8fX2l8PBwhb4L48PbCqRTarUaZcuWxb1797S1ESNGYMaMGQp2RWQ4GRkZCA0Nxd9//y3b17NnTyxZsgS2trYKdKZ7arUabm5ucHR0xP379xXt5eLFi+jZsycuX74s21enTh2sWLECFStWxJgxY/DHH3+gYsWKaNeuHVxdXXH//n3s2bMHPXr0wLRp0wzfvDFSOp2Q+fnmm2+E5F6kSBEpNTVV6baIDEaj0Ui///57tr/J9ujRQ0pPT1e6xVw5efKkdPv2bVl9165dEgCpe/fuhm8qG4mJidKAAQOy/XN3cXGRpk6dqvgTF6aCVw5I527evCkbCLRq1SoEBgYq1BGRMpYsWYKQkBBhYTIACA4OxqJFi7TLFxu7AQMGYOHChWjevDnq1asHe3t7XLp0CZs3b0axYsWwf/9+lCtXTuk2tSIiIjB8+HAkJydnu3/MmDGYOHGigbsyLQwHpBe+vr7Yv3+/drtTp07YuHGjgh0RKWPXrl3o0qWL7INq0qRJ+OKLLxTqKneioqKwcuVKHDt2DA8ePEBGRgbKlCmDLl26YOzYsXBzc1O6RZlLly4hKCgIFy9ezHZ/586dMWTIEEWfuDBmDAekFwsWLMDAgQO121ZWVoiJiUGJEiUU7IpIGXv37kXHjh2FgGBlZYUTJ07Ax8dHwc7erFWrVhgwYIBs9lNTkpycjBEjRiAsLOyNxzg6OqJnz574/fff+fPpNXyUkfSiZ8+ecHZ21m5rNBosWrRIwY6IlNOyZUusWLFCuI2g0Wgwbtw4Bbsyf05OTpg/fz4WLlwo/Dx6XYECBbBw4cJsH4m0ZAwHpBcuLi7o2bOnUFuwYAFXrSOL1alTJ1kY2L59O54/f56n94uLi4NKpUKTJk2y3T9jxgyoVCo4Ojpmu3/Lli1QqVQICgrK0/lNSb9+/XDixAnUqFFDtu/hw4ewsrLCuXPnFOjMeDEckN5knU75ypUrOHr0qELdEClLo9Ggbt26Qk2tViMmJiZP71eoUCEAyHaRJ7VarX0kLzU1Fenp6bJjpkyZAgAmM+4hv5KTk7Fy5UoMGTJEtk+j0eDJkydYuHChAp0ZJ445IL2RJAkVK1bEzZs3tbWPPvoIc+fOVbArovyTJAmpqalITk5GSkpKtv988eIFHjx4gNjYWFy4cAGnTp3C48ePhfdRqVR48uSJ9oM+txwcHODu7i7MKwIAK1euRFBQELy9vXHv3j3Ex8fD3d1du//8+fOoVasWWrRogX379gEAfv31V/z666/aY1JSUmBrawsbGxttLTExMU99GoPXn7hwdnbGrl27sg1NISEh+PPPPy1+kCLDAenVzz//jG+//Va7XaBAATx48MDi/8cj46TRaHD58mWcPn0aFy5cQGxsLO7fv49Hjx4hMTERSUlJ2i9d/OgMDg7G4sWL8/z64sWLa4PI6xo3bowbN25g9OjR+Prrr3H9+nXh8eKQkBCEh4dj3bp16Nq1KwDgyZMnePLkidBbYGAgevTooa2Z8loFWZ+4SE9Ph0qlyjYgVKtWDStXrkS1atUU6NRIKDG5AlmOu3fvSiqVSpiMZPHixUq3RSSIi4uTRo8eLRUvXjzbCXT08dWkSRPp6dOn+eq7cuXKkkqlEib02b9/vwRAGj9+vBQWFiYBkE6cOCF8r/b29lKlSpUkjUbzxvdu2bKltGDBgnz1Z+ySk5OloUOHZvvfx8nJyey//7fhmAPSK29vb7Rt21aohYeHK9MMUTb279+PqlWrYvLkyYiLi9P7+WrUqIHZs2dj7969eb6d8EqhQoUgSRJevnyprf3xxx9wcHBAaGgoChQoAADCoMc///wTaWlpGDVqlMlMwqQvjo6O+OuvvxAZGQkXFxdhX3JyMkJCQjBgwAAkJSUp1KFybN59CFH+DBgwADt27NBuR0dH4+7duyhVqpSCXREBjx8/Rrdu3fD06dN8v5eVlRWcnJzg6OgIJycnODs7o3jx4vD09ETp0qXh4+ODevXqoUyZMvlv/P97fVBiwYIFcf36dWzYsAFDhgyBu7s7ChYsCOD/wkFKSgr++usvuLu7o3///jrrw9T17t0b9erVQ1BQEM6cOSPsi4iIwLFjx7BixYpsn3YwVwwHpHfdu3dHwYIFtT+gJElCRESEMBaBSAnLly8X7rO/UrJkSdStWxcVK1aEp6cnihUrBldXVzg7O8PZ2RkuLi5wcnLSfjk6OsLW1tbgv4m/CgfPnz+Ht7e39gmE0aNHA4DsysHChQvx6NEjfPfdd3BwcHjre+/Zs0c/TRupihUr4vDhwxg9ejRmz54t7Lt8+TIaNmyIP//8EyEhIZZxxUXp+xpkGbLe1ytXrpxs4RMiQ/viiy+Ev5fu7u7S5cuXlW4rx179f3Xw4EEpISFBcnR0FBZBunLligRAmjp1qqTRaKQqVapIjo6OUnx8vIJdG7/ly5dLrq6usnEIHh4e0pMnT5RuzyA45oAMIuucB7du3RLWXngbjUaDHTt24Ntvv8XIkSMRFhZm0o9UkfHw9vYWtl++fCk8umfsXr9yMHv2bKSkpGDMmDHa/a9fOdiyZQuuXLmCDz/8UHiskeSCgoJw6tQpYV4KlUqFJUuWoHDhwgp2ZkBKpxOyDBqNRqpataqQwvv37//O10VHR8teB0Dy8vKSTp8+rfe+ybzduXNHsra2Fv5uVa9eXXrx4oXSreXIb7/9JgGQwsPDJQ8PD6lZs2bC/sTERAmA9Pnnn0tt2rSRVCqVdPXqVYW6NT2pqalSaGioBED69ttvlW7HoBgOyGAmTpwoe1ToTT+EMzMzpS+//PKtj4IVL15cSkhIMPB3Qebmk08+kf3datGihUkEhDlz5kgApAYNGkgApKioKNkxNjY2Uv369SUAUteuXRXo0vTt3LlTyszMVLoNg+JtBTKYfv36wdraWrv9ajrTrF6+fImuXbu+c731uLg4YUY3orz4/fffUbNmTaG2f/9++Pv7Zzs1sTF5dVvh+PHjqFy5snZCo9e5urrixIkTACxnqmRda9OmjfCzyxIwHJDBFC9eHB06dBBqCxYsELafP3+O9u3bY/PmzbLXV69eXfYYWFhYGNLS0nTeK1kOFxcXrF27Fm5ubkL90KFD8PPzw/379xXq7N1enyfhTfMWvHqcsWHDhmjRooWhWiMTx+mTyaDWrFmDwMBAofZqatdnz56hXbt22t9yXrG1tcXkyZPxySef4M6dOyhfvrywf9u2bXjvvff03juZt/Pnz6NNmzZISEgQ6iVLlsT69etliyYRmTNeOSCD6ty5M4oWLSrUwsPDkZycjM6dO8uCgZubG6KjozFixAhYWVmhXLlyaNiwoXAMV3okXahZsyb27NmDYsWKCfXY2Fi0aNECUVFRyjRGpACGAzIoOzs7BAcHC7WIiAj07NkTBw8eFOrFixfH3r17ZZdCs65ff/z4cf00SxanWrVq2Ldvn+zqVHJyMnr06IFJkybpZMElImPHcEAGl3XOg5iYGNkYgxIlSmDv3r3ZroqW9fLu1atXdd8kWaxKlSrh6NGj8PX1FeqSJOHLL7/EkCFDsl3Jj8icMByQwdWpUwd16tR54/5ChQph+/btqFSpUrb7y5UrJ2zfvXuXv82RThUtWhQ7duzAgAEDZPvmz58Pf39/nazHQGSsGA5IEVmvHrzi6OiIjRs3vnWBk9KlSwvbqampePTokU77I7Kzs0NYWBh+++032b7du3ejadOmuHXrlgKdEekfwwEp4v333wcA2NjYwNnZGcB/q9qtXLkSzZo1e+trixcvLqvpIxwkJiZizpw5aN++PapVq4a2bdsiPDwcGo1G5+ci46RSqTB27FisWrUKjo6Owr4rV66gcePGOHLkiELdEekPwwEpYt++fQCAzMxMJCUlwdnZGXPnzkWnTp3e+VpbW1vZ2uvPnj3TaX9r165F5cqVMXz4cGzfvh2XL19GdHQ0QkJCEBQUBLVardPzkXELDAzEvn37ZME0ISEBfn5+WL16tUKdEekHwwEp4s8//xS2fXx8MHjw4By//vXJXwDo7P5vZmYmxowZgx49erxx8pvVq1e/c/ZGMj/169fH0aNHZbe8UlNTERQUhEWLFinUGZHuMRyQwZ0+fVr22OKIESNy9R5Zw4EurhwkJycjICAAf/zxxzuPnTBhgtFPrUu6V6pUKRw8eFA26ZZGo0H//v1lM34SmSqGAzK4rFcNPD090b1791y9h66vHCQmJqJTp07ZTtvctm1bfPvtt8LUtM+fP8e6devydU4yTQUKFMDGjRvx0UcfCXVJkjBkyBBs27ZNoc6IdIfhgAzq8ePHWLp0qVAbNmwYbG1tc/U+urxykJycjA4dOmDPnj1C3dbWFnPnzsX27dvx448/omPHjsL+TZs25fmcZNpsbW3x119/yRYyUqvV6NmzJ65fv65QZ0S6wXBABjV//nykpqZqt21tbTFkyJBcv0/WcPD8+fM89ZORkYGgoCAcOHBAqBcuXBi7d+/GRx99pL1iEBAQIByTdapnsiwqlQoTJ07EmDFjhPrLly8xdOhQzr1BJo3hgAxGrVZj9uzZQi0oKCjbRxPf5dVKc6/k5cqBRqPBoEGDZFcA3NzcsHv3btkjlfXr1xe2b968qfOnJMi0qFQq/P777+jVq5dQ3717Nx9xJJPGcEAGs2nTJvz7779CLTQ0NE/vld8rB5IkYcyYMbIR5oUKFcKuXbtQu3Zt2WuqV68uW9P95s2buTovmR8rKyvMmzcPJUuWFOpbtmxRqCOi/GM4IIOZOXOmsF2vXj00atQoT++V3ysHEydOxJQpU4Sao6MjNm3ahJo1a2b7Gjs7O5QoUUKo3bt3L1fnJfMTExODNWvWyAIqp1cmU2ajdANkGS5fvoydO3cKtREjRghPAORGfq4czJ8/H2PHjhVq1tbWWLVqFZo2bfrW13p7eyMmJka7rc9wIEkSEhISYG9vLwtDlH+SJCExMREvX75EUlISEhMTkZiYiKSkJKSkpCAlJQXJycnaf3/1lZiYiPv37yMmJgZ3797Fw4cPs33/t60fQmTsGA7IILKONShatKjsPm1u5PXKwdq1a2WPoAHAggULZE8jZCfrlYPHjx/n6Ly5kZCQgAkTJmDRokWIj48HADRo0ABTp05959TSlL1nz55hx44dOHHiBE6dOoU7d+4gNjYWKSkpejlfhQoV0KdPH728N5EhMByQ3r148QLh4eFCbciQIXBwcMjzexYuXFjYTkhIeOdr9uzZgw8++EC2NsKUKVPQr1+/HJ1XH5MvvS4yMhLDhw+Xve/x48fh5+eHzZs3o23btjo9pzl7+PAhxo0bh8WLFyMtLc0g5/Tx8cl2LQYiU8JwQHq3cOFCJCYmaretrKzw8ccf5+s9vb29he0nT54gMTFRtubCK6dOnULXrl1lHxD/+9//8Pnnn+f4vPoKB6+mbZ42bdobj8nIyEDfvn1x8+ZN7WJV9Ga3bt1CixYt3jgNti4VKlQIzZo1Q79+/RAYGAgbG/5oJdPGv8GkV5IkyWZEDAgIQKlSpfL1vtm9/s6dO9ku9Xzp0iX4+/vj5cuXQn3IkCH45ZdfcnVefYQDtVqNDz/8EJGRke889uHDhwgLC8v1dNOWaNiwYbkKBtbW1nBxcYGzszOcnJzg6Oio/eerr1fbxYoVg5eXF7y8vFC2bFlUqVIFVlYc303mg+GA9Grnzp24evWqUMvr44uvc3Jygqenp/DD/8yZM7JwcP78ebRp00Z226FHjx6YM2dOrgdEZh3rkN8R6ZIk4ZNPPsk2GHzwwQcYM2YMPv30U2GSpuXLlzMcvMPTp0+xY8cOoWZraws/Pz80bNgQ1atXh5eXFzw9PVGwYEG4uLjAzs4uzwNkicyORKRHXbt2lQBov6pVqyZpNBq9vPcnn3wi7N+7d69UtGhR4RgAUuvWraWUlJQ8nTMiIkJ4r9q1a+fre/jqq69k/dnb20vz58/XHrNp0yZhv0qlkl6+fJmv85q727dvy/5c9+zZo3RbRCaD18FIb+7cuYMNGzYItdDQUJ39dpZ1joT169cjMzMTkiRhzpw5aNu2rexpgiZNmmDt2rV5Hgypq2mbAeD333/HhAkThJqdnR3Wr1+PgQMHamt+fn7C5EuSJOHcuXN5Pq8l8PLykl3lmTx5smwwKhFlj+GA9Gb27NnC/PIFChTI8VMBOdG5c2dh+969e+jRoweaNWuG4cOHIyMjQ9jfokULbNu2DQUKFMjzOXU15mD27Nn43//+J9SsrKwQGRkpWw7Y0dERVatWFWqnT5/O03kthY2Njezv2oYNG/D9998r0xCRiWE4IL1ITk7GvHnzhFpISMgbnybIi5o1a8rWO9iwYQMOHz4sO/bVcsyurq75Omd2Vw5y+9vo4sWL8cknn8jqYWFh6NGjR7avqV69urB9586dXJ3TEo0fPx5FixYVaj/99BMmTpyoUEdEpoPhgPRi2bJlssF6w4cP1+k5VCoVJk2a9M7jvvjiC6xbt04nwSRrOJD+/yx7ObV+/XoMGDBAVp8+fTr69+//xtd5eXkJ24Z4PM/Uubu7Y9myZbL1ML766iv8+OOPXDWR6C0YDkjnJEmSraPQvn17VKpUSefnatWqFWbNmpXtY2SlS5fGpk2bMGnSJNkHRF5lN41xTm8t7Nq1C0FBQVCr1UL9xx9/xKeffvrW13p6egrb+gwHcXFxWLt2LZYsWYKLFy/q7TyG0LZtW0yfPl1W/+6779C/f3+DTYxEZHKUHA1J5unAgQOykeIbN27U6znPnDkjjRgxQurQoYM0YMAAKTIyUkpPT9f5edRqtaRSqYTv7ezZs+983ZEjRyRnZ2fZn8uoUaNy9PRGZGSk8LpKlSrp4tsR3Lx5UwoKCpJ9f507d5aePHmi8/MZ0pQpU2R/9gCkFi1aSAkJCUq3R2R0GA5I53r37i38AC5XrpyUmZmpdFs6U6RIEeH72759+1uPP3funFS4cGHZB9OgQYNy/FhndHS08NoiRYro4lvRmj9/vuTk5JTtBygAqWnTplJGRoZOz2loM2fOlAUfAFL58uWly5cvK90ekVHhbQXSqfv372PVqlVCbfjw4Tq7rG8MSpcuLWy/bXDg1atX8d5778nGX/Ts2RNz587N8WOdWQfWPX36VHZ7Ii/UajVGjx6NQYMGITk5+Y3HHTp0CPPnz8/3+ZQUGhqKqKgo2dTTN2/eRJMmTbBr1y6FOiMyPgwHpFN///03MjMztduOjo4ICQlRsCPdK1OmjLB98+bNbI+7evUqWrVqhbi4OKHu7++PxYsX5yowZQ0HkiTle+pmtVqNfv36YcqUKbJ9Tk5Ostq0adNMfhBf165dceDAAZQsWVKoP3v2DO3btzf5AESkKwwHpDPp6emYO3euUOvbty+KFCmiUEf6kXVg5cmTJ2XHXLt2DX5+frJg0Lx5c6xevRp2dna5OmfWcAD8t9hUXklvmbZ52LBhiI2Nxfbt24X6lStXcPny5Tyf01jUqVMHx44dQ7169YR6ZmYmBg8ejC+//JKTJZHFYzggnVm9erXswzC75/lNXdaZGY8ePYr09HTt9r59+9C0aVM8ePBAOK5hw4bYuHFjtr+Vv8urhX9el3X2x9wYN26cLMjZ2toiPDwcc+bMQaFChdCmTRvZb9iHDh3K8zmNiaenJ/bu3Ytu3brJ9k2aNAlBQUFISUkxfGNERoLhgHQm6+qLLVq0QO3atRXqRn+aNGkibL98+VI7dfPkyZOznba5QYMG2LZtW7aPQuZU1qsHeQ0HkyZNwm+//SbU7OzssHHjRmGuBSsrKzRv3lw47siRI3k6pzFydnbG6tWr8eWXX8r2rV69OtsFu4gsBcMB6cSpU6dkv1Wa68qBxYsXR9OmTYVacHAwSpcujS+++EI2bXP9+vWxfft22QRKuZX19kxewsE///wj+zB807TNwH+h5nVZV9g0dVZWVpgwYQLmzZsHGxtxkdrDhw+jSZMmuHXrlkLdESmH4YB0IutVA09Pz2wv2ZqLrMtOp6enZzsxUefOnbFr1658BwMg/1cOVq5ciaFDh8rq//zzzxunba5QoYKwffv27Vyd01QMGjQIW7dula27cfPmTbRs2RLXr19XqDMiZTAcUL49fvwYS5cuFWrDhg2Dra2tQh3pX69evdC6des37lepVPjyyy8RFRWV7/UcXslPONi2bRuCg4NlTxtMnjxZWAEyq6xPZty/f18YX2FO2rRpgwMHDsDb21uox8TEoGXLlmYbjIiyw3BA+TZ//nxhGlpbW1t89NFHCnakf1ZWVlizZg06dOgg29ewYUPs3bsXEyZM0On8DnkNB4cOHUKPHj1ktzvGjRuHUaNGvfW1xYsXF7YlSZLN2aALkiThwIED+N///od+/fph3LhxijwZUbNmTRw5cgS1atUS6g8ePEDnzp3ztUQ3kUlRcgYmMn2ZmZlS6dKlhRnngoODlW7LYDQajXT06FFpxowZ0pw5c6RTp07leNbD3Pr666+FP+eePXu+8zVnz56VChUqJJsVcPjw4TnqMy0tTfZaXc8meP78ealZs2ay81hZWUnTp0/X6bly6vHjx1K9evVkPXXv3l1v/32JjAnDAeVLVFSU7Afo4cOHlW7LLE2ePFn4c27duvVbj79+/bpUrFgx2X+fPn36SGq1OsfnzbomxKFDh/L7rWjNmzdPsrW1feO0zTDAuhxv8vTpU6lGjRqyfjZs2KBIP0SGxNsKlC9ZByLWr19fNg8A6UZubivcunULrVu3xsOHD4V6p06dEB4enu0qlm9SuHBhYVsXtxU0Gg1GjRqFwYMHy253ZDV69GhFJiUqVKgQNmzYADc3N6E+Y8YMg/dCZGgMB5Rnly9fxs6dO4VaaGhojtcLoNzJGg6yTjj1yp07d+Dn54d79+4JdV9fX6xcuTLXA0WzhoP8zMwI/De+4NNPP8XUqVNl+0qXLo127doJtatXr2L//v35OmdelSlTBt98841QO3jwoMlPI030LgwHlGezZs0Stt3c3NCrVy+FujF/5cqVE7YfPnwoCwA3btxA69atcffuXaHu4+OD9evXy2ZZzIms4SC/g/LGjx8v+7sDACNHjsSVK1ewbds2VK9eXdi3bt26fJ0zNzQaDe7fv4/t27fj+++/x8SJE4X9DAZkCWzefQiR3IsXLxARESHUhgwZAgcHB4U6Mn9VqlRBoUKFhAWX9uzZg379+gEA9u/fj+7du8tuN9SqVQs7duzI8+yMWedoyM9thSlTpuDnn38WajY2Nvjnn38wYMAAbS0wMBAXL17Ubh87duyd7y1JEp4/f4579+7h/v37ePbsGV6+fKn9Sk5Oln2lpKQI20lJSYiLi3vrrY7WrVvz6hiZPYYDypOIiAgkJiZqt62srDBs2DAFOzJ/r6Yz3rhxo7Y2a9YsdOjQAdOmTcPvv/8uW8a5Ro0a2LlzZ7YLN+VU1nCQ19Ugw8LCMHr0aKGmUqmwePFi2RWnxo0bC9snT55EZmambBbDGzduYPny5Th48CCOHTuWr/UmcsLV1RUTJkzQ6zmIjAHDAeWaRqORDUQMCAhAqVKlFOrIcnzwwQdCODh69Cjc3d2zPbZ27drYvn37G/fnlC7CwerVqzFkyBBZfe7cudneiqpbt66wnZqaitjYWJQuXRrAf1cvRowYgSVLluS6l7yqW7cuwsLCZLc8iMwRxxxQrkVHR+PatWtCzVzXUTA2gYGBsrEH2enUqRMOHDgADw+PfJ8zv+Fgx44d6NOnj+yJgwkTJmQbGADAw8NDNj7i33//BfBfUGjTpo3eg4G9vT2aNGmCUaNGYe/evThx4oRZLiRGlB1eOaBcmzlzprBdrVo1tGrVSplmLIy9vT3CwsLw3nvvZTuNsbW1Nb755ht8++23OpudMT/h4PDhw+jWrZus17Fjx2a7GuIrKpUKpUuXxpUrV7S1V4Mv586di9OnT7/1vB4eHnBzc4Orq6v2y9nZGU5OTnB0dISTk5P26/VtR0dHeHh4oFSpUvDw8MjVI59E5oThgHLl9u3bwmVtgI8vGlrLli2xc+dOfPLJJzh//jyA/5ZcDggIwLfffouaNWvq9Hx5DQfnzp1Dx44dkZycLNSHDRuGX3/99Z2vL168uBAOXo0niI6OFo6ztbXFkCFD0LJlS9StWxfe3t6wt7fPUY9ElD2GA8qVOXPmCI9yFShQQDtangynRYsWOHv2LO7du4cXL16gXLlycHJy0su58vK0wo0bN/Dee+/JgkTv3r3x559/5ihMvimUZH1tu3btsn00kojyjtfMKMeSk5Mxb948oRYSEgIXFxeFOrJsKpUKpUqVQo0aNfQWDADIZgi8f//+W5/1v3fvHtq1ayebnbFjx45YuHBhjm93vGlmxqZNmwr1zZs3G3QeBCJLwHBAORYZGSn7rXH48OEKdWO+Fi9eDDs7O/j5+b3x0TxfX184OjoaZBnhsmXLCtupqal48OBBtsfGxsaidevWuHPnjlBv0aJFrmdnfFM4GDBggGwZ7ODgYJw8eTLH701Eb8dwQDkiSZLs8UV/f39UqlRJoY7Ml5eXF5o3b449e/Zg7ty5sv1Lly7F/v37MWbMGNkHtz54enrK7uG/Phbglbi4OLRu3Ro3btwQ6j4+PtiwYUOur2686XZGsWLF8Ntvvwn7kpKS0KZNGxw9ejRX5yCi7HHMAeXIwYMHcebMGaEWGhqqTDNmrlWrVqhduzbc3Nxw6tQpYV9SUhK+/PJLlCpVCmPHjjVIP1ZWVqhZsyZOnDihrR08eBCtW7fWbt+4cQMdO3bE9evXhddWrVoVW7duzdPsjFnDwevTNg8fPhzHjh3DwoULhf1t27bFpk2b4Ovrm+PzSJKE2NhYnDhxAvfu3UNiYiIKFSqEOnXqoGHDhjp76oPIpCi3ICSZkl69egnL1pYrV07KzMxUui2zVrZsWal69epCbezYsRIAacWKFQbtZeTIkcJ//6ZNm2r37d69W3Jzc5MtbVypUiXp/v37eT5nRESE8H516tQR9qempkpt2rSRndfe3l6KjIx863snJiZKq1evlvr16yeVKFHijctFly1bVtq8eXOevwciU8VwQO8UGxsr2djYCD80J0+erHRbZs/f31+yt7fXhrAbN25I9vb2kp+fn8F7Wb9+veyD85dffpE++ugjSaVSyfaVL19eiomJydc5161bJ/ugzio5OVnq0KFDth/sP/zwg6TRaLTHqtVqaceOHVLv3r0lBweHNwaCrF8qlUpatmxZvr4XIlPDcEDvNH78eOGHpaOjo/TkyROl2zJ7n332mQRAun79uiRJktS5c2fJ2tpaOn/+vMF7SU9Pl4oVK5ajD9PatWvnOxhIkiTt2bNHeN8iRYpke1xqaqrUrVu3bHsJDg6Wrly5In333XdS6dKlcxwIsn65uLhICQkJ+f6eiEwFByTSW6Wnp8sGxfXt21c2kpx079Vgz6tXr2LLli3YuHEjPv74Y9SoUcPgvdja2uLbb79953EdOnTA/v37UbJkyXyfM+s4hefPn2f7CKW9vT1WrlyZ7ZMzS5YsQZUqVfDDDz9op19+2/maNWuGjh07okKFCsK+xMREhIWF5eG7IDJNDAf0VqtXr5Y9r86BiIZRuXJlAP/NNDhy5Ei4ubnhxx9/VKyfjz/+ONtFkgDAwcEBEydOxIYNG2SPGeZV1nCgVquRlJSU7bE2Njb4888/MX369BxPeWxjY4O2bdti5syZuHz5Mp48eYIDBw5g06ZNuHbtGrp37y4cv3v37rx9I0SmSOlLF2TcmjZtKlxe9fX1Vboli3Hv3j0JgFSwYEEJgDR37lylW5IyMzOluXPnSg0aNJA8PDykWrVqSV999ZUUGxur83M9fvxYdnk/J7cr5syZoz3ewcFBNiaiVq1a0vTp06VHjx699X0iIyPfOeaByFypJOktU52RRTt16hTq1asn1FasWIGePXsq1JFlkSQJrq6uSEpKQt26dXH8+HGLWghIrVbDwcEBmZmZ2tqxY8fQoEGDN77m3r17aNGihXALwc7ODvb29ujXrx8GDhyIunXr5mj65ujoaLRt21a77eHhIbuKRmSuLOcnDeVa1kmPSpYsiW7duinTjAVSqVSoWLEiAGDGjBkWFQyA/1aY9Pb2FmpvmxHy4cOHaNu2rWxsQdOmTRETE4NZs2ahXr16OV4kLCUlRdi2s7PLYedEps+yftpQjj1+/BhLly4VasOGDcvV9LeUf8+ePUPJkiXRrFkzpVtRRNYZIN8UDp48eYL33nsP165dE+oNGjTAxo0bUaBAgVyfOy4uTtguVqxYrt+DyFQxHFC25s2bh7S0NO22nZ0dhgwZomBHlufZs2e4c+cO6tatq3QriskaDi5evCg7JiEhAe3atcO5c+eEetWqVbFp0yY4Ozvn6dxZ14coXrx4nt6HyBRx+mSSUavVmD17tlALCgrib04G9mq6ah8fH2UbUVCdOnWE7X379gnb//77L9q3b4+rV68K9XLlymHnzp1wd3fP87nPnj0rbFerVi3P70VkanjlgGQ2btyIu3fvCjU+vmh4DAdAy5Ythe1///1X++eyceNG1K1bVxYMSpYsiejoaHh6eubr3FnDQe3atfP1fkSmhE8rkEzbtm0RHR2t3a5fvz6OHTuW44FcRLqi0WhQqlQpxMbGamsVKlRA2bJlsWPHDtnxpUuXxo4dO7QDOfMqJiZGNhjywoULqF69er7el8hU8MoBCS5fviwEAwAYMWIEgwEpwsrKSjbW5caNG9kGg2rVquHgwYP5DgaA/PZFoUKFULVq1Xy/L5GpYDggwaxZs4RtNzc3BAUFKdQNEfD555/LfovPKjAwEIcOHdLJtM2APBy0aNHC4h4lJcvGv+2k9eLFC0RERAi1IUOGwMHBQaGOiIACBQpg48aN2X7wu7u7Y+7cuVi5cqVsuuX82Lt3r7Dt6+urs/cmMgV8WoG0IiIikJiYqN22srLCxx9/rGBHRP+pVasWLl68iPDwcJw6dQp2dnZo3rw5AgMD4eLiotNzxcXF4cqVK0KN4YAsDQckEoD/Bn5VrVpVmESmR48eWL16tYJdERnesmXL8MEHH2i3XV1d8eTJE9jY8Hcpshy8rUAAgJ07d8pml+Pji2SJsq6+2KJFCwYDsjgMBwRAvo5C9erV0apVK2WaIVJQ1nDg5+enUCdEymE4INy+fRsbN24UaqGhoXx8kSxObGwsrl+/LtQYDsgSMRwQZs+ejdeHnhQsWBB9+/ZVsCMiZezZs0fYLlSokGwKZyJLwHBg4ZKTkzF//nyhFhISovMR4ESmIOstBV9fX1hbWyvUDZFyGA4sXGRkJJ4+fSrUhg8frlA3RMrieAOi/zAcWDBJkvDLL78INX9/f51MP0tkah48eIBbt24JNYYDslR8PseCzZs3D7dv3xZqfHyRLFXWVRhdXFxQs2ZNvZ1PrVbj2rVruHjxIh4/fgxbW1uUKlUKzZo1g6Ojo97OS5QTDAcW6tatW7Ig4Orqig4dOijUEZGyzp07J2zXrFlT5+sp3L59G+vXr8fGjRtx5MgRYUbSV1xcXDBq1CiMGzcOdnZ2Oj0/UU4xHFigx48fw8/PD+np6UK9YcOGXFyGLFbWKZNr1aqlk/d9+vQpIiMjERYWhpMnT77z+MTERPz44484deoUoqKiOCCSFMFPAguTkpKCTp064d69e7J9vL9Kliw+Pl7YftdKkG+j0Wiwa9cuBAcHw9PTE5988kmOgsHrNm7ciNmzZ+e5B6L84JUDC6JWq9GnTx8cP34c2S2pUbp0aQW6IjIOWcOBh4dHrt/j3r17CA8Px4IFC2Tjed6kZMmS8PLyQmpqqmzcw7Rp0zghGSmC4cBCSJKEUaNGYd26ddkGAwBwc3MzcFdExkOj0Qjbtra2OXpdWloa1q1bh/nz52PHjh1v/P/rFTc3N3Tu3BldunRB06ZNUbx4ce2+DRs2oGvXrtrtW7du4datWyhfvnwuvhOi/GM4sBBTp07FjBkz3noMwwFZsoIFCwrb2d16e0WSJBw/fhyLFy/GkiVL8OTJk7e+t62tLQICAjBo0CC0a9fujeMIOnfuDDc3Nzx69Ehbu3LlCsMBGRzDgQVYsWIFRo8e/c7jGA7IktWoUQO7du3Sbi9YsACDBw9GiRIlAPy37sKRI0ewZ88eREVFISYmJkfvOWjQIAQHB8Pd3f2dx6tUKhQrVkwIB9k90UCkbwwHZm7//v0IDg6GSqXK0eVOIkvVoUMH4era7du34eXlBQ8PDyQlJeHly5c5ep8CBQqgd+/eGDRoEBo0aJDr8QJpaWnCNp9WICWopHd9YpDJunz5Mho3bozExETZ/dSs7OzskJqayoFPZLE0Gg3q16+P06dP5+n1fn5+GDhwIHr06AEnJ6c8vYckSXB1dUVSUpK2tn//fjRv3jxP70eUV7xyYKYePHiAdu3aISkp6Z3BAAAKFy7MYEAWzcrKCitWrEDz5s3x8OHDHL2mUqVK6NWrFwYMGIBy5crlu4enT58KwQCA9rYGkSExHJihly9fwt/fH3FxcVCr1Tl6DW8pEAEVKlTAqVOn8L///Q8rVqxAamqqsL9gwYJo1KgRfH190b17d1StWlWnoTrro4x2dnb5mm+BKK8YDsxMRkYG3n//fVy8eDHHwQAAihUrpseuiEyHp6cnIiIi8Ndff+H8+fN4+vQpHB0d4enpiXLlyul1FtGstzRq1KjBKZRJEQwHZkSSJAwbNixHz1q/zsrKKk8TvhCZM0dHRzRs2NCg5zx27Jiw7ePjY9DzE73C6ZPNyE8//YSwsDBZMHjXZU9ra2veViBSmCRJ2LNnj1Br0qSJMs2QxeOVAzOydu1a7b87ODjA3d0dnp6eePToEW7evPnW1+bkGWwi0p+rV6/KBkK2atVKmWbI4jEcmJGNGzciOTkZxYsXh4uLC1QqFZ4/f46SJUu+9XWZmZm8ckCksKxXDby8vHTyBARRXvC2ghkpWbIkKlasCFdXV+2thIiICOHRKJVKhQ4dOggTq0iSxHBApLCs4aBVq1Z8vJgUw3BgxjQaDWbNmiXUunfvjhUrVqBixYqwsfm/C0fGEg7Gjh0LlUr11i8ic5PdeAPeUiAlcYZEM7Z9+3a0b99eqO3evRutWrXCzZs34ePjg8TEREiShLNnz6JWrVp660WtViMiIgIRERE4c+YM0tLSUL16dYwbNw49evTQHpeQkIDHjx+/9b2qVKmitz6JlHDp0iVUr15dqF2/fh0VKlRQqCOydBxzYMZmzpwpbFevXh0tW7YEAJQvXx4rVqxAx44dAej3ykFqaio6d+6M6Oho+Pj4ICQkBGlpaVi1ahUCAwOxePFiBAcHA/hvYCQHR5KleX3BJwDw9vbmSoykKIYDM3Xr1i1s2rRJqIWGhgqX5f39/TFlyhScOXNGrx/IAwcORHR0NGbMmIERI0Zo6+PHj0etWrXwzTffaMMBkSXavXu3sN26dWveQiNFMRyYqTlz5gjzHRQsWBB9+/aVHTdy5Ei99hEdHY3IyEgMHTpUCAbAf3PGd+zYEQsXLkRCQgKvGJBF0mg0svEGfn5+yjRD9P8xHJih5ORkzJ8/X6iFhITAxcXF4L38+eefAP4bc/D999/L9l+6dAkAcrQ4FJE5OnfuHJ48eSLUGA5IaQwHZmjp0qV4+vSpUBs+fLgivezcuRMAMG/evDceY29vz6sGZLGyXjUoX748SpUqpUwzRP8fH2U0M5IkaX9bf6VDhw6oWLGiwXt59uwZEhMTERAQAEmS3viVmpqq18VsiIzZ8ePHhe1Xg4aJlMQrB2bmwIEDsmVfQ0NDFenl1ZiHR48eKXJ+IlNw4sQJYbtBgwZ6PV9iYiIuXbqE+/fvIzk5GR4eHqhduzav3pGA4cDMZL1qUL58efj7+yvSS+HChVGxYkUcOXIEu3btQuvWrYX96enpOHnyJBeXIYuVlJSEa9euCbV69erp9BxqtRr79u3Dtm3bsH37dpw5c0a2OJuVlRW6dOmC6dOno3Tp0jo9P5kmToJkRmJjY1GmTBlkZmZqa1OmTMHnn3+uWE9RUVEIDAwEAHTs2BFVq1ZFcnIyYmJicODAAfj7+2Px4sWK9UekpOwmP0pKSoKTk1O+3/vGjRsIDw9HREQEYmJicvSaokWLYt++fahWrVq+z0+mjVcOzMjcuXOFYODk5IQBAwYo1xCAbt26Yffu3Zg4cSIOHz6MrVu3okiRIvD29sbAgQMV749ISffu3RO2ixYtmq9gkJSUhFWrViEsLAz79u3L9esfP36MPn364OTJk8L6K2R5GA7MRFpaGubOnSvU+vbti8KFCyvU0f/x9fWFr6+v0m0QGZ34+Hhh29PTM9fvIUkSDh8+jAULFmDZsmVITEx852usrKzg7e0NJycn3L59G6mpqdp9Z8+eRXR0NN57771c90Lmg+HATKxevVr2g0apgYhElDNZ7+q+vhjauzx48ACLFi1CWFgYrl69+s7ja9eujc6dO+O9995DgwYN4OjoCOC/AcNNmzbF9evXtcdu3ryZ4cDCMRyYiazrKLRs2RI1a9ZUqBsiyomCBQsK2/fv34ckSW+cOvnFixdYu3Ytli5dip07d75z8rCiRYsiODgYISEhqFOnTrbHuLm5oU+fPvjhhx+0tStXruTuGyGzw3BgBk6cOIEjR44INV41IDJ+lStXFrYfPnyIlStXIigoCMB/VxauX7+O6OhobN++HVu3bhVuAWTHysoK7du3x8CBA9GlSxfY29u/s4+stzNevnyZy++EzA3DgRmYNWuWsO3l5YVu3bop0wwR5VjlypVRrlw53Lp1S1vr1asXvvrqK9jZ2SE2NhZJSUk5eq8KFSpg4MCB+PDDD1GyZMlc9fH6QGYigOHA5CUkJCAyMlKoDRs2LFf3LolIGSqVCl988YVsevM7d+7k6PXOzs4ICgrCwIED0axZszyv5Hj//n1hu3jx4nl6HzIf/AQxcfPnz0daWpp2287ODkOGDFGwIyLKjaFDhyI6OhqrV6/O0fE2Njbo0KED+vTpgy5dusDZ2TnfPdy9e1fYzu2VBzI/DAcmLDMzE3PmzBFqvXr1goeHh0IdEVFuWVlZYfny5Zg8eTKmTJmChw8fyo4pXrw42rZtizZt2qBLly4oWrSoTns4f/68sF2uXDmdvj+ZHs6QaMLWrl2LHj16CLWjR4+iYcOGCnVERPmRkZGBc+fO4fbt21CpVChUqBCqVKkCT0/PPN8yeJe0tDS4uroiIyNDW9uzZw8XgLJwDAcmrE2bNti1a5d2u0GDBjh27JiCHRGRqTl+/LjsF4pnz57JHrMky8J1ck3UpUuXhGAAACNGjFCoGyIyVXv27BG2q1SpwmBADAemKuvqi+7u7ujZs6dC3RCRqcoaDlq1aqVIH2RcGA5M0PPnz7Fw4UKhNmTIEDg4OCjUERGZoszMTOzfv1+oMRwQwHBgkiIiIoSJUaytrTFs2DAFOyIiU3Tq1CnZbIgMBwQwHJgcjUYju6XQrVs3eHt7K9QREZmq3bt3C9tVq1ZFsWLFFOqGjAnDgYnZsWOHsHoawHUUiChvsoYDXjWgVxgOTEzWqwY1atTg88hElGsZGRk4cOCAUGvdurVC3ZCxYTgwIbdu3cKmTZuEWmhoqN4mRyEi83X8+HHZok68ckCvMByYkNmzZ+P1OasKFiyI4OBgBTsiIlOV9ZZCzZo14ebmplA3ZGwYDkxEcnIy5s+fL9QGDhwIFxcXhToiIlOWNRz4+fkp1AkZI4YDE7FkyRI8e/ZMqGVd5pWIKCfS0tJw8OBBocZwQK9jODABkiTJBiJ26NABFSpUUKgjIjJl58+fR2pqqlDz9fVVqBsyRlyy2QQcOHAA586dE2p8fJGI8urUqVPCdqVKlVCkSBG9nvPRo0e4ceMGXrx4AVtbW1SoUIHzsxgxhgMTMHPmTGG7fPny8Pf3V6gbIjJ1p0+fFrZ9fHx0fo4nT55gy5Yt2LlzJ6Kjo3Hv3j3ZMT4+Pvjhhx/QpUsXnZ+f8ofhwMjFxsZizZo1Qu2TTz6BlRXvCBFR3ty8eVPYrlWrlk7eV61WY+fOnQgLC0NUVBTS09Pfevzp06fRtWtX/P777/jqq6900gPpBj9hjNzcuXOhVqu1205OTggJCVGwIyIyJnFxcVCpVGjSpEm2+2fMmAGVSgVHR0dtLTY2Vjhm3LhxCAoKynMPN27cwDfffIMyZcrA398fK1aseGcweN3//vc/HD58OM/nJ91jODBiaWlpmDt3rlDr168fChUqpExDRGR0Xv08ePHihWyfWq3GtGnTAACpqanaD+wHDx7Ijv3iiy8AAGPHjoVKpXrrFwAkJiYiPDwcLVu2RMWKFfHLL78gJibmrb3a2tqiRIkSskewJUnCxIkTc/V9k36ppNdn1SGjsmTJEvTt21eonTt3DjVr1lSoIyIyRg4ODnB3d5fd11+5ciWCgoLg7e2Ne/fuIT4+Hu7u7ihUqBCeP3+uPa5WrVo4e/YsACAhIQGPHz/O9jySJOHUqVPYtWsXVqxYgcTExLf2ZWdnh/bt26Ndu3bw8/NDlSpVYGNjA7Vaja+++gqTJ0/WHmtvb4+XL1/C1tY2r38MpEMcc2DEsj6+2LJlSwYDIpLJ+mH/yuTJk1G0aFF8/PHH+Prrr/H8+XO4u7vD1dVVOP71Ac7u7u5wd3cX3ufq1atYsmQJli5dKhuvkJ26desiJCQEffr0yfYpCGtra1k4SEtLw927d1G+fPkcfc+kXwwHRurEiRM4cuSIUBsxYoRC3RCRMStUqBDi4+Oh0Wi0g5UPHDiAo0ePYvz48ShevDgAaANB5cqVhVsAly5dglqthrW1NYD/FmU6duwYduzYgY0bN+LkyZPv7KFo0aLo27cvQkJCULt27Xce7+7uDnt7e6SlpWlrT548YTgwEgwHRirrVQMvLy8EBAQo1A0RGbNChQpBkiS8fPkSBQsWBAD88ccfcHBwQGhoKPbt2wfg/8JB+/btER0drX39xo0b4eXlhbJly+L58+e4ceNGjgYUWllZoUOHDggJCUHnzp1hb2+f454lSYJGoxFqXETOeDAcGKGEhAQsW7ZMqA0bNgw2NvzPRURyrw9KLFiwIK5fv44NGzZgyJAhcHd31waGV+GgV69e+Oqrr4SF3OLi4hAXF5ej81WqVAkDBw5Ev3794OnpmaeeHz9+jIyMDKGW9XYGKYefNkZo3rx5wqU2Ozs7DBkyRMGOiMiYvQoHz58/h7e3N6ZMmQIAGD16NACgQIEC2v0AsGXLFkiSBJVKhZyOSS9WrBh69+6N4OBg1K9fP9+/5WcdPGllZZXnoEG6x3BgZDIzMzFnzhyh1qtXL3h4eCjUEREZu9evHDx69AgREREICAhAxYoVAUB75eDZs2eQJAnTpk2Do6Mjli1bhm+//VY2PfsrNWvWxHvvvQd/f3+0atVKp1cvL168KGyXLFmSTyoYEYYDI7NhwwZZouY6CkT0Nq9fOZg9ezZSUlIwZswY7f7Xrxxs2bIFV65cwdChQ9G1a1d06dIFly5dwoULF/D06VO4uLigVKlSqFGjhl7XW8g6yLFOnTp6OxflHsOBkcm6jkLDhg3RsGFDhbohIlPwKhzEx8dj1qxZaNasmTBj4uvhYMqUKVCpVBg1ahSA/wYBVq9eHdWrVzdozydOnBC269evb9Dz09sxHBiRixcvYvfu3UKNVw2I6F1ehYNZs2YhPj4ef//9t7Df2dkZNjY22L9/P06cOIGuXbuiUqVKCnT6n5SUFBw7dkyoMRwYF06fbERmzZolbLu7u+drvnMisgyvwsHx48dRuXJldO3aVXaMq6ur9rf1V1MlK+Xw4cPCo5JWVlZo1qyZgh1RVgwHRuL58+dYuHChUPvoo49y9dwwEVmm19dbGTVqVLZPErwalNiwYUO0aNHCUK1lK+sV0nr16mn7I+PA2wpGIjw8HElJSdpta2trDB06VMGOiMhU+Pv7v/ORxNu3bxuom3fLGg78/PwU6oTehFcOjIBGo5HdUujWrRu8vb0V6oiISD+SkpJk4w0YDowPw4ER2L59O65fvy7UuI4CEZmjgwcPCjMjWltbo3nz5gp2RNlhODACWddRqFGjBnx9fRXqhohIf/bs2SNsN2jQAC4uLso0Q2/EcKCwmzdvYvPmzUItNDSUC5AQkVnieAPTwHCgsDlz5ggDiQoWLIi+ffsq2BERkX68fPkSx48fF2oMB8aJ4UBBSUlJmD9/vlAbOHAgnJ2dFeqIiEh/Dhw4ALVard22tbVF06ZNFeyI3oThQEFLly7Fs2fPtNsqlQrDhw9XriEiIj3KOt6gYcOG/GXISDEcKESSJNlAxA4dOqBChQoKdUREpF+HDh0StnlLwXhxEiSF7N+/X7ZMKtdRICJzpdFocObMGaHWuHFjvZ/34cOHiImJQUZGBjw9PeHl5QUrK/5e/C4MBwrJetWgQoUKaN++vULdEBHp182bN5GYmCjUfHx8dHoOSZJw5coVbN68Gdu3b8fp06eRkJAgHFOiRAl8/PHHGDNmDBwcHHR6fnPCcKCA2NhYrFmzRqh98sknTLNEZLauXbsmbLu5uaFEiRI6ee/Y2FgsXLgQCxYskE0ol9WDBw8wfvx4bNmyBVu3btUuZ00ifhop4K+//hJG7Do5OWHAgAHKNUREpGcPHjwQtkuXLp2v+VzS09OxZs0adO7cGaVKlcLXX3/9zmDwusOHD2P06NF5Pr+5YzgwsLS0NNla6/369RNWVSMiMjdZw0FerxpcunQJo0ePhpeXFwIDA7Fp0yZoNJq3vsbGxibbFW7nz5+P2NjYPPVh7hgODGzVqlWIj48XahyISETmLjMzU9h2dHTM8WtfvHiBf/75B40bN0b16tUxZcoU2ViC15UsWRJDhgzBihUrcO3aNaSmpiIlJQX79u2Dk5OT9jhJkrBx48bcfzMWgGMODGzmzJnCdqtWrVCjRg2FuiEiMoys8xlk/SUpq4yMDGzfvh2LFy/GunXrkJKS8tbjXVxc0KtXLwwcOBBNmjTJ9pZFixYt0KlTJ6xcuVJbu3LlSi6+C8vBcGBAx48fx9GjR4UarxoQkSWoVKmSsH3kyBHcvn0bZcuW1daePXuGXbt2Ydu2bVi7du1brw680qxZMwwaNAg9e/bM0QJOZcqUEbZzcg5LxHBgQLNmzRK2vby8EBAQoFA3RESG06JFC9ja2mqXa05LS0ONGjW00yf/+++/uHHjhrDWzJsUK1YM/fv3x8CBA1G5cuV89cWnxLLHcGAgCQkJWLZsmVD7+OOPYWPD/wREZP6KFi2K4OBghIeHa2vJycnYuXNnjl5vY2ODjh07YtCgQejQoQNsbW3z1EdcXJywXbhw4Ty9j7njJ5OBzJs3D2lpadptOzs7DB48WMGOiIgMa/LkyThw4ABu3LiR49c0btwYffv2RVBQENzd3fPdw507d4TtrLcZ6D8MBwaQmZmJOXPmCLXevXvDw8NDoY6IiAyvSJEiOHToEEJDQ7Fy5cpsbyHY29vD19cX7du3R0BAgE7Xm5EkCVevXhVqpUuX1tn7mxOVlJMbPJQva9asQWBgoFA7duwYGjRooFBHRETKio2Nxd69exEbGwsrKyu4ubmhevXqqF69eq4ec8yNe/fuoVSpUkLtxo0bKF++vF7OZ8p45cAAsq6j0LBhQwYDIrJoJUuWRJ8+ffL9PnFxcShRogQaN26Mw4cPy/bPmDEDn332GRwcHLBkyRJhX6FChXD16lVUqFABPXv2xIoVK/Ldj7ngMM13GDt2LFQq1Vu/3ubixYvYvXu3UBsxYoQ+WyYishivZpd98eKFbJ9arca0adMAAKmpqdi7d6+wv379+pg6dSoA4IsvvgCQ/5/55sJibyuo1WpEREQgIiICZ86cQVpaGqpXr45x48ahR48e2uMSEhLw+PHjt75XlSpV3rjv448/xl9//aXddnd3x71797KdypOIiHLPwcFB+7P1dStXrkRQUBC8vb1x79491KhRAxcuXNDuHz58OGbPno0WLVpg3759APL/M99cWGQ4SE1NRefOnREdHQ0fHx/4+voiLS0Nq1atwqNHj7B48WIEBwfn+zzPnj1DyZIlkZycrK2NGzcOP//8c77fm4iI/lO8eHEkJyfLrh40btwYN27cwOjRo/H1119DpVIJgyA7dOiALVu2YN26dejatauh2zZqFhkO+vTpg8jISMyYMUO4xP/gwQPUqlULLi4uuH37dr7PM336dIwcOVK7bW1tjTt37sDLyyvf701ERP+pUqUKrl27hszMTO2kRgcOHECLFi0wfvx4lClTBgMHDhRe4+joCLVajTJlyuDKlSsWc7sgpyxuzEF0dDQiIyMxdOhQ2b3/EiVKoGPHjrhz506+p9TUaDSygYjdu3dnMCAi0rFChQpBkiS8fPlSW/vjjz/g4OCA0NBQFChQQPaa4sWLIz09HaNGjWIwyIbFPa3w6gNbrVbj+++/l+2/dOkSALxzCdB32b59u2yiD66jQESke68PSixYsCCuX7+ODRs2YMiQIXB3d0fBggVlr3n48CHc3d3Rv39/A3drGiwuHLyaqnPevHlvPMbe3j7fM3FlvWpQs2ZN+Pr65us9iYhI7lU4eP78Oby9vTFlyhQAwOjRowH898tgVsnJyRgzZgwcHBwM1qcpsajbCs+ePUNiYiICAgIgSdIbv1JTU/O1GMfNmzexefNmoRYaGspLV0REevD6lYNHjx4hIiICAQEBqFixIgD5sswqlQoODg745JNPDN2qybCocPBq7OWjR4/0ep7Zs2cLI2ILFiyok6cfiIhI7vUrB7Nnz0ZKSgrGjBmj3X/69GnheEmS0L9/f52s1WCuLCocFC5cGBUrVsSRI0ewa9cu2f709PRsZ9jKjaSkJISFhQm1gQMHwtnZOV/vS0RE2XsVDuLj4zFr1iw0a9YMTZo00e4/evSo7DWjRo0yVHsmyeLGHEycOBGBgYFo164dOnbsiKpVqyI5ORkxMTE4cOAA/P39hb9UubVkyRI8e/ZMu61SqTB8+HAddE5ERNl5FQ5mzZqF+Ph4/P3339p98fHxstsKLVq0QKVKlQzZosmxuHDQrVs37N69GxMnTsThw4exdetWFClSBN7e3hg4cCAGDBiQ5/eWJEk2ELFDhw46XVWMiIhEr8LB8ePHUblyZWFCowMHDsiO/+GHHwzVmsmyuHAAAL6+vnp5cmD//v04f/68UOPji0RE+vUqHACQzVtw5swZ4dgCBQrAz8/PQJ2ZLosMB/oyc+ZMYbtChQpo3769Qt0QEVkGf39/vGmy36zhYMiQIQboyPRZ1IBEfYqJicHatWuF2ieffJKvRyKJiCh/Ll++LGzXrl1boU5MCz+5dGTu3LnCRBtOTk75Gr9ARET59+DBA2G7XLlyCnViWhgOdCAtLU0YHQsAH374oXAfjIiIDCsxMRFJSUlCrVixYrl+n5SUFOEpNEvAcKADUVFRiI+PF2qceYuISFlpaWmyWm7mnDl//jxGjhyJkiVLYuLEibpszehZ5JLNuqZWq7Fp0yb8+eef2LFjB1q1aoXdu3cr3RYRkUVLSUmBk5OTUDt//jxq1Kjxxtc8fvwYS5cuRXh4OE6dOqWtFytWDPfu3YOtra3e+jUmDAc6dvXqVSQnJ8PHx0fpVoiILJ6XlxdiY2O12z///DPGjRun3ZYkCbdv38bWrVuxbt067N69GxkZGdm+16pVqxAYGKj3no0BwwEREZmtvn37YsmSJUKtZcuW8PT0xKNHj3DmzBkkJCTk6L3+97//4ddff9VHm0aH4YCIiMzW4cOH0bRp0zy/vmTJkvjwww8xaNAglC9fXoedGTeGAyIiMmtjxozBH3/8kePj7e3t0b17d4SEhKBNmzawtrbWY3fGieGAiIjMmiRJmDJlCr777jvZo42vuLm5oX379ujWrRvat28PV1dXA3dpXBgOiIjIIrx48QI7duzAlStX8PLlSxQuXBilS5dGw4YNUbZsWWFNBkvHcEBEREQCToJEREREAoYDIiIiEjAcEBERkYDhgIiIiAQMB0RERCRgOCAiIiIBwwEREREJGA6IiIhIwHBAREREAoYDIiIiEjAcEBERkYDhgIiIiAQMB0RERCRgOCAiIiIBwwEREREJGA6IiIhIwHBAREREAoYDIiIiEjAcEBERkYDhgIiIiAQMB0RERCRgOCAiIiIBwwEREREJGA6IiIhIwHBAREREAoYDIiIiEjAcEBERkYDhgIiIiAQMB0RERCRgOCAiIiIBwwEREREJGA6IiIhIwHBAREREAoYDIiIiEjAcEBERkYDhgIiIiAQMB0RERCRgOCAiIiIBwwEREREJGA6IiIhIwHBAREREAoYDIiIiEjAcEBERkYDhgIiIiAQMB0RERCRgOCAiIiIBwwEREREJGA6IiIhIwHBAREREAoYDIiIiEjAcEBERkYDhgIiIiAQMB0RERCRgOCAiIiIBwwEREREJGA6IiIhIwHBAREREAoYDIiIiEjAcEBERkYDhgIiIiAQMB0RERCRgOCAiIiIBwwEREREJ/h/F881NPLra/QAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dot:\n"
     ]
    },
    {
     "data": {
      "image/png": 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jxE9q2z4l6Wp6DjzYn5EMHzVOmPHoH3FJuoLe/ozEGCFOWFpmKUlXMLLhzhCRFG8jThhYWGYpSRe3cAlXcowQJ5RU1kdI0oVtKA0RyTFGnOQ0S0m6rINNnknyUeMXLLOUpMtpaOzPSJIR4he8j5CkS7HJM13eRvzCwIrH0IeQpAQMLGzyTJYR4hdKCvrQh5Ck6I2sXMKVMGPELzk9QpK+b2OTZ9J81HjHzOkRkvQtG7A/I2lGiHd4HyFJ39EwGCISZ4x4h90aknS+lob70IfQlRkj3lExMoQ+hCRFqWfHnU2eyTNGvGvts4YknWF0k2cmLLF818jcMktJ+qKRBWv7M7JghHhXQW19hCR90Y7aEJEJY8QH1sYISfqSHbAPfQjdyN+EPsDUVfQMlKGPIUmRaOhcJZARbyM+ZJmlJH1Wx4GH0IfQDVli+SHLLCXpc3r7M7JjhPiQZZaS9BkjG+4MEZkxRnzCki70ESRp8hasqUMfQjfmo8anzHh0FpskvWNDYX9GhowQn+KSLkl6z47REJElbyM+ZWBhmaUk/UJDw4N3tlkyQnxKSWV9hCSd1HMwRGTLGPFJLg2XpFMGVtwbIrKVfIzYXejfs6RnDP2LkaSJGVmxt8kzY8nHiMtxeoQkvbViyTL0IRSQMeLTHIotSa9tKNmGPoSCSnY11/D8l37PDigvsLK2pKD36k6SnjUM7s/IXvINn7sLdjI39NyF/gVJ0iS09meIxG4jRg6UlAwXuHs4Zc2M0S8aSaJnZ4gQidVGbChZU1+xo8K2T0l66s+4pwx9DE1AQo8aPQvugZ711RLyU/6WpJyNLFhf6dZXsUnoUWOkooar7perGBlM4JKytqE2ROhZIjcRwNENxDXHVtv2KSlvOzd56khCjxqwo6JgoLpiW+bI3CVdkrLV0PAY+hCakKRiBAwUV68c3lB5nScpS539GXojoQgBTyOirm1tt4akLPVsuDNE6JXEbiNu41/mf+DfCX0ISbqpkTl3Vy1iV4yMEWf41/k/GUzkkrIyt8lTJxghzvBv83+zcG24pIzY5KnTjBFn+Bd4GnZlkJCUhx3Y5KmTEho/dTs9UJjLJWWioXN+r37B24gzLHmkYGl1hKQM9G7y1DsssTzTAdiGPoQkXdnAgvsrjvRT7IwRZxpYOM1SUuJGFmxZhj6GJswIcaaS6qq7OyQpvBVrQ4TeZYw429JplpKStqG0mFwf8FHjG2Y8WnYkKVEHeu5DH0KTZ4T4Bu8jJKWqoeUu9CEUAW8jvmFg5cJcSQnqWfFAGfoYioAR4htKCvrQh5CkCxtZcW+I0KcYI75lSRP6CJJ0UU9Nnk6K0Of4qPFNlllKSsuKyuF6+jQjxDdZZikpJRsKQ4S+wBjxTWtjhKRkNPT2Z+hLjBHfVDIyhD6EJF1AR+MmT32RMeLb1pZZSkpAz4Y7a730RZZYftvI3CVdkiI3MneTp85ghPi2gtr7CElRs8lT5zJGXMDaXZ+SorajdgmXzmKMuICKwTJLSdHaAfvQh1CkjBEX4TRLSbFq6AwROpsllhdhmaWkOPWsnMWrbzBCXERB7RgqSdHpWXFviNA3GCMuxKHYkmIzsuHO/gx9izHiQmp6yywlRWXBmjr0IRQ5Y8TFuF1DUkw2VDZ56tsssbyYgYVllpIicaDnPvQhlAAjxMWUVI6hkhSFhtZNnroIY8QFWWYpKQY9Bx7sz9BF+KhxUTP7ryVN3MDCJVy6GCPERTnNUtK0jaxcwqUL8jbiogZWPIY+hCT90oqKbehDKCFGiIsqKehDH0KSfmFDYYjQRRkjLsxnDUlT1TDYn6EL81Hj4iyzlDRFrf0ZugIjxMXZ9ilpenp2LuHSFXgbcXGWWUqampG5TZ66CiPExZUULumSNCEjC5s8dSXGiCuwzFLSlOyoXcKlK/FR4wpG5i7pkjQRO0b7M3Q1RogrKKi9j5A0CQ2dIUJXZIy4irXdGpImoOPAQ+hDKGnGiKuoGC2zlBRYz8YmT12ZMeJK1j5rSArs3+W/sT9DV2aMuBKHUEkKq6Xkv/CTSFf2N6EPkKqCmpZl6GNIytJIQ8M9BSt6tj5s6Gq8jbga7yMkhTCwYc7IAxUlj8DCzcO6GudGXNGMB8rQh5CUlZE52zfDpjo2rF0QrqswQlyRbZ+Sbm2g/GliZc0jPSvG0IdTgowRV2S3hqRbqxhOxIWCeyrmdKGPp+QYI66ooPKLVtKNLTmc/Odb7tmxC308JcYYcVWWWUq6tT3dL76BqXgA5g7H0wVZYnllMx5ttZJ0Uz2rdz55WnY/FWFK5zJCXJlLwyXdWsWW1S//0yWPtGwsuNRFGCOuzG4NSbe3pnjnW5iCBwrmTpPQBRgjrqyk9EtV0s1tPyjw3nPPyoJLfZsx4upqnzUk3Vz54U1oxSMjCx839C3GiKtb0/llKummWubsP/xvFdyxZO7Tq77BTo0b2J2YKidJl9fT0dNTs/70ivCBFbXru3QmY8QNDKx4DH0ISYk70FBSU386QPywo+PujP8/yUXhN1BS0PsFKumKdgzfmFKzp2Pl+i6dwduIm2gYPvFOKUnn+v6ou5ENcOfjhr7ECHETDsWWdF3Lb2/wcX2XzuFtxI1sqCyzlHQ17w/A/sq/Z0Pt7ak+zQhxI06zlHRN1S83e3713+P6Ln2FMeJGKka/LCVd0Z7uIt+uFOzZsnBwnj7FR42bscxS0nUNLHigvMi/a2RFyd6CS33ACHEzlllKuq6S/cW2ZLi+S5/jbcQNbahZhj6EpKR9v/HzWO80CX3ACHFD3kdIurb6ovcHFY8Mru/SO4wRN1TTW2Yp6WoGNgwXnpjr+i69z0eNmzowWmYp6cJGOno6YHmlB4in9V1+eulnxoibGpnze+hDSEpIz4GeJRX1lbsqXN+lU4wRN7ZhSR36EJIS0bLj7mafKR0bCy71hhHixmpfGCVdTM/2ht+Y1DzSs7LgUkeMETe2pPNLUNKFXLYv42Ou79JbxoibWzpiVtKF1M+llbe05Z7dxcZcKXbGiJtbGyMkXcwdm5vfcLq+Sz8YI26upHK8rKQLqVizufnP+uf6Lmu9ZIwIwGcNSZezZQzymbLkgSbAXYimxYbPIC479V5S3kbmwT5TdrTcO00iY//cf/1f8ZfQh8jP3/F3ftlJupB/MeBnSs0/YMX/yz8I/ZugQLyJCMIyS0mXFLLiquKR3vVd2TJGBFFSWGYp6UIadiwD/vwF967vypa1EYE0DK65kfQtPR09PTVbytCHcX1XpowRwcxc0iXpTCMHGmoq6knVWbm+Kz/GiGA2VKxDH0JSlGYsJ/p9v+u7cmOECGbtO6Kks/SUEw0Rru/KjzEimIrRUbKSzlBN+rPD9V158VEjIMssJZ1nBxP/9OjZWHCZBSNEQEufNSSdZU838e/2Xd+VC2NEQAW1QULSWUJs9vwa13flwRgRlPcRks4TZrPnV7m+K33GiKBqeq/8JJ1lyxjBNyIlDxTMndubLGNEYG7XkHSufQQx4umc96w4hD6GrsJOjcBG5k6zlHSmv/DX0Ef4pJENI/eB1pnreowQgVlmKek8A4uIpkW6vitV3kYE19JxF/oQkqIx0jLQUrIOutfzHK7vSo8RIrglnVXMkj6lZc6CgYpHHqILEVDyCBZcJsXbiAnYUUR0NSkplB09dxNYCf5dru9KiTFiAgYWlllK+tAimRLFkQ1wl8ivJm9GiAkoqSY+1lbSFKTzSeH6rnQYIybBaZaSPlZzSKiSass9O3ahj6FvMkZMwpI+oQ8HSddRUyc1xMn1XSkwRkyE0yMkfWxPl9Rnheu74meJ5UQMrHgMfQhJkzew4DGx0sSBDSX7xH5VuTBCTERJYSe1pA+VrJOrJ3ha37XwMzBK3kZMRkPvNEtJnzBL7j4CoGflNIkIGSEmY23rk6RPqZP8vr3ikZ6F5eaRMUZMyNKl4ZI+MLKjpwp9jKv4c32X31LFxBgxIU6PkPRrPTsWzIGHBJ80/rR2mkRkjBETUjHaPy3pJwMbZhwouOP35DsaKtd3RcUSy0lpGFyhK+mVnhVb1qGPcWMdmwx/1TEyRkzKyNwlXZJeyXUH8MiKwvVdk2eEmJTCaZaS3qgzfewseHB9VwS8jZiYngP3oQ8haVJm3Cfam/Gxng21j70TZoSYmIo+0+88JP3KHZtspylUPDCy8HNxsowRk7N2eoSkV2rqjFsgC+5Yu75rsnzUmBzLLCX9bMGaZehDBOT6rqkyRkzQhjrrjwtJP0txs+dX7ej4R/wbFPRZ9q5MkxFigpZWJkt6o3TOLXv+M/47BopsK0WmyNuISUpzf5+k7+hosu/jGin55/lX+F/9hJwMI8QkuaRL0msdGx87KRj4J/x//H3vbCfD24hJGlhYZikJGOjo6ajYZjs74k89C/4AWv43/menSUyEMWKiVqypQx9CUlA7Op7aPf00ABhpqBgZWfP0u3OXfbQKzxgxUS0dd6EPISmghQ2OJ/SUL78nru+aAmPEZFlmKeWsZ8dD6ENMnuu7wjNCTJbNXVLOKsc/f4Lru8LzNmKyBlY8hj6EpGB2YBHhp/y5vmugt5vl5owRE7Zgb/mQlK2RecabPb9mZMfA/8X/42PwzRkhJszpEVLOCu5ZOa/xUwru+Jf43xk4hD5KdryNmDTLLKW8Heizn1z5OT3z5x/9L/zD0IfJihFi0iyzlPK2ZfRT4FMq/soDW/41/jF/G/owWTFGTJoxQsrd3k+BT6vZ83f89/wHPm3ckI8aEzfnnjL0ISQF9Bt/hD5CZEY2jNz7JHwTRoiJW1tmKWVsZOUg7C8ruGfpNIkb8TZi4kbmLumSMtTR0QFLtqGPEqk/p0nouowQE1dQex8hZaVnxYyWknseDRFnq3gE5k4DvTJvIyav52DDl5SNAw13PmRcjOu7rs0YEQHLLKV8LCwNvDDXd12XESICTrOU8lFaGHhhf67v6kMfJFHeRkTAMkspHx07l/JdgQWX12KEiEBB7QAaKRM1NbvQh0hQxQMjCwsuL84YEQWnWUr52D63euqyCu5Ys/DT9MJ81IiES7qkfPSs/Iq/koEVNVt/dy/GCBEJp1lK+ahY+7BxJSWPwMKCy4vxNiISAwvLLKWMeAN5TR0b1o72uggjRCRKKl9LpYws/X75imoe6Vkxhj5IAowR0bDMUsrHgdahc1dVcE/l+q4L8FEjIl5ySqkb6OjpqNn71X4DTpP4PiNERLyPkNI1smPGhoElvzu6+UZc3/V93kZEZGDldDspSQMLlrYhBtKyc33X2YwRUVmwpwp9CEkXtwOv1gNyfdf5jBBRcUmXlKbanoGgXN91Pm8jImOZpZSmGffeNQbWs2LprdAXGSEiY5mllKY7NqGPkL2KR9d3fZm3EZGxzFJKlfUR09CyY88y9DGiYYSITAkmZSlJezpvGydgyQMHdlarfJIxIjou6ZJSde9fXpPg+q6v8FEjOiNzl3RJidpROr9gIlzf9TlGiOgU1N5HSImq3fEwGa7v+hxjRITWvp9KSerZUYc+hF64vuszfNSI0px7t/9JCeno6IC9MWJyXN/1PiNElJxmKaWiZcWMlpIHHg0RE+T6rvd5GxElyyylNKwY3ZQTBdd3/YoxIlIbasejSJFznFxMXN91mhEiUg7FluJX2gUQEdd3neZtRLRmPFhmKUXOAdixcX3XW0aIaNn2KcVvS+t3t1Fxfddb3kZEyzJLKQUdOx58b4+M67t+MEJEq6ByKIoUvZqaQ+hD6Itc3/WDMSJilllKKdjT+7UcHdd3/clHjajNePQyVIpez4H70IfQGVzfZYyI3I4i8z/AUhp+44/QR9BZRjaQ9TQJI0TU7NaQ4jeyc45ltFzfZYyIWknpy5wUrZ6GFXPgIfRR9A1b7tmxC32MQIwRkatd0iVFaGDDjAMDW353mFH0cl7fZW1E9CyzlGLTcHDNU4LyXN9ljIjejjK7P7ZS3BbcG/6TNLKiZJ/V/7pGiOitfdaQIlNmXJCXtoIHiszWdxkjoldSZPkeJ8Vr6dzKhO25Z5VRwaUxIgFL7yOkqNTUGf01k58/13flMSrb2ogEuKRLis3InHunRSSt4ZDF+i5jRBI2VJZZSlHpWdlllbiBFTXbxP9XNkIkwWmWUmwqKySSl8f6Lm8jEjHnnjL0ISR9iVNfcpD6+i4jRCJs+5Tis0z8+1QB1DzSs0q24NIYkYilzxpSZFpa7xCzkPb6Lh81krGhzqAmWIrfSEdPS8XeGJGRng11gvtTjBDJ8D5Cmr4DC+b0VDxaz5SZigdSXN/lbURCZjz4sSRN1lP739qv0qylt77LGJGQA2OCF2ZSKnbgV6iSW99lhEiI0yOkKauTrdXXV6S2vssYkZCCKtFKYCkFNV1y7+I6T0rru4wRSbHMUvqOa3+s71mF/iVqItJZ32VtRGKciiedMjwPaFtTPoeFmpqO7vlHT3ZXr12wPkLHUljfZYxIzI4i4aGr0vk6FvxBAYz8xv3zR/fuKETcIkbAnP3Rz6jcxb++yxiRmIGFS8OlE0Z+468vP3p4/qu8Yc2Pu4qeCiiv2o7nZk+9taPjLtq18X8T+gC6rJLq+aNQ0rGCP2NC+/KXePMcGMrnW4hb3EZULGmTmhug79rTsYp2fZc3EcmpXdIl/cLIU5SoGIEh0CCoOplWP11KzOu7jBHJWdNF+UdRuran0PB0I9EDXZAahYGDTxr6Sbzru6yNSNDuym+7UpwWLCmpKFhQUVPc+Pmvp6Onj74yX9cT4/ouI0SC1j5rSCcNDBRABYw3DBEdG2YcgC2/GyL0SzGu77LEMkElhWWW0gkdj88/am7Y0bSjY8td6F+8olCwp2UR0fouY0SSlrTGCOmN6qgW4nZ9+sNReJE+Y0nNij6S9V3WRiRq5vQI6Y0fnRm37dHwq1Hn2NFyH8E3hEaIRNn2Kb1VnvjRLdQcQv/SFaFY1ncZIxLl0nBpKvY0TorQGeJY32WMSFTFGFWtr5Sugjs2E/+rQNNUcMeS+aS/LbQ2IlkNQ2Tdx1K63Oyp8017fZcRIlnLCKehSanaPy8ll76u5BFYTPRpzBiRrIJq0hdhUl72lj3rG/bsWU2yWNcYkbClMUKaDBdy6Xumur7LGJGwmt4yS2kidhN92VY8prm+yxiRNLdrSKGNtGyYAQ+hj6IEbLlnN6lpEnZqJG1k7vw8KZCRAx1QU7mOSxf09Cfr/sZj1H7FCJG0gtr6CCmIjjkF9zy6GFwXVrBny2Iin+7eRiSupXOzoBTAgn0E+xAUr5EV5QTWdxkhErekm1xdr5SD0gJnXVXBAwXz4B1AxojkLS2zlALwK0/X97S+K+w0CWNE8uzWkEKoKSY5LEhpqXhkCLq+yxiRvJJqYl3GUh7u3OypGwi9vssSywxYZimF0bPiMXgJnHLwtL4rxPo3Y0QWZn6USUG42VO3MwSZJGGMyMKOknXoQ0hZMsQrbUaILFhmKYWytD5CSTNGZKGk8KNMCqCj9S5CSfNRIxMNvWWW0g31dHSM3DnLUkkzRmRj5pIu6SYaOnoqKpYTWZ4kXY8xIhuWWUrXN7KiYOsNhLJhhMjGciLb4KSUNVTcGyKUEWNENipGVwVJV1a6Ck+ZMUZkxLZP6dqWdMZ1ZcXaiIyMzC2zlK6speEh9CGkmzFCZKSgtj5CurIlJbvQh5BuxhiRlbUxQrq6PZ1bdZUNHzUyM+PBTnbpytzsqXwYITJjmaV0fZUN1sqGMSIzPmtIt1C7xUaZMEZkxjJL6fpGGp80lAljRHa8bJWuZ6Rhw5yKfeijSDdhiWWGZhZ/SRc30NABNTV16MNIN2OMyNCOgm3oQ0hJ2dGyZWlAV3aMERkaWDjNUrqoOQ9GCGXJCJGhksrhONJFjYYIZcoYkSXLLKXLqjmEPoIUhI8amTous+ypQh9HitzI3AmxypIRIlN/3kc0zNixCH0cKXIFe1ahDyEFYIzI1Jp/QsOMngceKByRLX3TktrNnsqQjxqZGvn7/Htsny9hB1Y8hj6SFL05e2dGKDNGiEw1/EfcvbzklsAQ+khS9Pbe6yk7xohMNaxf/d/1Ty2gIw0rOzqkL3Ahl/JjjMhSS/2mpvztx1/LnIE1Oz8WpU+z6VP5sTYiSwu2P73gzo4mW+7on588OhruQx9XmryOjo6SO8dQKTNGiAz1cKIMrHp+wOiZw0sHfE3PGPrA0mSNHFgxo6HknntDhLLzN6EPoNtrWJ74p3sWFHS03L0KGUu6E//9ntIPTGWvZ8WSrQPclDEfNbIzMv/FYq6WnvKnHYUtPftX/2RHS8ngunFlb8HeCKHMGSOy89U14a9jx8CGkj0FO3gTL6TcbKhP3u1J+TBCZKd90+r5kYLqpVujY8H6uYhsbzOosrd0ToSyZ4zITEP95aeIJTtgZMeO+6PvvWqDhDJXU9jkqcwZIzLTfOlB48mSkjlz4PHVO/DPo3aeRla5V0D5uKNxtoqyZozISkd51irjOx75/adKiLeTL7vnkVW9F73KRsEdm9CHkAKyxDIrK9YXXRw05/4lluzouKPivV4QKUWWGytnRoiMDPQX3j74Z4HZyIKRh+cnj+OiTCl9e1qHtClbxoiMnFMX8b41HQ075ixfDQE+XXzZu0VUiVr+tNpOyoUxIhvjl1s9P1Zwx0DJ44f7Qg/MODD3lkIJ6ukcxaZsOQw7G81VxuRUJ2f4lcD48sE6sgEeKejY8Bj6N0K6mIGOjv7NAHkpJ95GZKO5+F3Ee348a/TMqZ5XFtWU3kcoCR07ZmwY2PK7IUIZs1MjEy0ddzf8+QYWPAIHWu6PbiwOcPEKDem2RjaMrM8Y5SalxwiRidveRUDJ9uTIqlOlaA0rNla6KxoNBQ8/LbGT8mSMyEIPN99DuOZ3fmf/5qO2ZHgVGHrm9GwdKayInDPCTUqVjxpZ2FDd+Dbi13ZUL8WeDTvun9+VZzz48axIzHj0LkICvI3Iwkg3mRAB9cvIqhXtUXHa2kVfisaWVegjSBNhjMjAYUIh4mkn4o4dcyoeXo2sOtXD0dvZoQla+wwnPfNRIwNTu4AdaShOFKjN3mziaNlRMbC9ysQL6TtG5q96kKRcGSOS19DftNXzfBvql8AwcqDjnvK5dXRKMUiCp8kRD/7JVPaMEMm7/CaNa/nxrDGwAB4pgZKlVROaoPoXu2OkvBgjEtdRRtP/UNPSM3JgwfZo8bJrjzRNtZU7kjs1UnfrsVPfUXDPCli+ecQ4tXa8oWfgLpqIpPSM3kVIGCMSN9BHNe2/elNk+eOf90fFbAMbCtaMrFz0pSA6OlqWR3dmUq6MEUk7RFMX8b6a9iVGtOzYP5diPn2US7cy0NIxUFNZ+CsBdmokbWT+i+/uYzMyf/7Q3tFxdxQpbrtwTHlrOLBm6VOadMQYkbADYzKXrgc6qhPXyLMTQWlgiOopR7GY2gQWaQp81EhYw0PoI1zMlgJOfIiXr6omoGNDSUGXTIDSlBgipLeMEclqqJO6fD3dcVLTHcWIHd3zZME5nTcSurA6qs4n6TZ80EhWm8UH3o/RVCMLRh6eQ8XWWRO6uC0HhtCHkCbGGJGoHrKY919ScgAa5iy5e7l0dr6gLq9kzyb0IaSJMUYkqsmmEfKOhhk9D69uXwrKn75v7NiwMF7oG5aU7EIfQpoUOzWSNLBIpNXzfDvKo2AxsmFkTeWiL32Lmz2l14wQSbIQ7PUmjp45FQ8sKVlzCH00Razgzj9B0hFvI5Jkf/vT78LTd4072qPvH0cWjtDWt8z9EyS9MEIkqKE2RAB3bNgxZ+Tx6BK6gBPV9gMdY+gDKwqtf1KkI95GJGjGQ1ITI873tP3g7e/F66oJ6NkxUtMnNK5L1zDQ0jNw79eX9MLxU8npqPyQe1b/4p8ed2s0HLijBjbJrDLTpbV0dJTUbC2vlF7xNiI5K9bOb/zAn7UjIzsG7p+fgAY23kfoJz0bKupsWqilrzFCJMa1VJ+xZAe0zCl4eKkjKRl89dZPDmy5M0RIv2CMSMzBVs9P2AO/0XH/ZoHX8qcR2h0bZjb4Zc1yZek9xoikjHTGiE+54w/ufnrlrl7FiJEdO2oead3QkTEHq0vvMUYkJZ8R2Jex4y/8Rg+MtLy+jRhYAI8sKdjThD6qglky+r+/9EvGiKQ0dhp8QUPNX/mdBmifA1j1/BdGw4Lty5NHTR/6sAro3s2e0i/Z8JkQx059TUUFFNQML79vd8wZ6CjezAGtX4LGDwMtS5trM1CwZ+XkSukkbyMS0loX8SV/VkYsaV66W546N+6P+jeevL2PGFiwYmRhb0cWltRu9pROMkYkowcH45ztR2go2Z64YXhdZteyYM0je9b+5ZKJrUOwpZOMEclwq+e5hk/Er4Ly5T5ix4GH5yeOrT0cmShOtANLMkYkY6CzS+NM3aducbZseBpZBY9H9xW1f7lkYfR/Z+kkY0QivIs43/CpMsmamhkd+zcjq6qf/nrp2fAbm9C/LF1My445a4O6dIIxIhGWV57vs90te35/XuJ17O1txI4VNX8wOvsyej075szoqHj0K0w6ydVcSWgY3nyPrNuZvyyOHllRsn9e+zXn99BH0zfs6FifWDQv6ZgRIglu0ghp+TyyqmPOkrvn242CyqFVEWsYeGRtiJA+4PipBHRUftgFtGXOjo6C+1fFmjXtT8WbAx2lO1gjUDjKTfoUHzUSsGLtX0xBjfSUP0W5gQ0Pr/5bGwZq2jdxQ9M0ezPJVNIpRojoDQyGiMCKky/oJcPRwKKeORWP7LlnFfrA+oS13TbSJxgjomddxHQtX2ZfHlhx/7w4raJ00VMEtm72lD7BR43I2Q8wZQMLHuhpKF5KLwEO4C7WCIzMfYCSPmCEiFzjSJwJK9mzoWPL/Zt9oW97OHo2zFz0NTEFdz5sSB/wNiJyloHFafbqDulAw54lB3ruQx9Nr2yofDaU3mGEiFpDbYiI0o+NoSMbeh5ZAlsGqyYmZun0D+ldxoioOQI7VsvnUdk9c4qjJw8XfU2NIUJ6n+OnItaD5V+RqqlZMcCbEr7lic6bkRYMjDfX09FSchf6INKkWRsRsQ21BZYR606MrHpbNQE7Wpb01PZ23MhIS09HRcXS+bDSB4wR0RpY2OqZoA3Ll3FiPRtq9jy1HlpMewstO5bUjnSTPskYEa0dhd+fJqihf75GbzgcLSbfUfqwcQMzHryBkL7A2ohIjbQ8hj6ErmDNnA5oGF/dP/zo7dB1GSKkr/AmIlItS6+4E3XHgZaahzcjq972cIzsmDGzl+CiagdgS1/io0akvHrNz4rtUVdHy441a3p23ktd0MDCKhTpC4wQUeqoDBHZOX7W2HHggS0FNZXPHRdUutlT+hJjRJTc6pmjmpYRGJgDjy9B0pFVl7WlYBf6EFI0fNSI0MDKa+wsNTQUDOzfzAuZ/dT6O9IysvZy/ixu9pQ+zxgRIZcF5aunOPGcteDu1T99Glk1ghMYz9TRuCRN+hRjRHRG5o6d0isHeJkhMrKiZE8BLNj7PfWZZn6VSZ9ihIjOwQHYemP5UmTZMWfJ3fNjxtLiyzPZRCt9lrcR0ZnZjqafbChYPk/A/HH/4M3V1410dHRH80MlvccIEZmG2hChn+wZOFDx+OoRo6BkePXf+3NklSOWftaxY86CnprfDRHSJzkMOzIt+9BH0AQVvygIrOiOynE7Nqx5BObUTh45MrKBnyaHSvqYtxFR6cCSOX3B8mimxIEd92wpKNh6H/HKhpp7G2SlMxgjotLa6KkvqRjogJEFPQ8vIdSRVa8VBgjpTMaIiAx0dmnoi+5YsWLOkvujvypLYHzz3xxp2L2ppciF+1OlcxkjItJ4F6Evq3hky+8//dl5ex/RMGegYBX6wEEsGQ0S0lls+IzGyNxWT11MS/cy43Jkw/h8W7GjeBlllZOBhVtzpTMYIaLRsjRE6GKWdM/PGj1zqpcehXWmVRMlezd7SmfwNiIaM79X0kUd6FnT0b5ZQ5XvgLMNhQ3V0hcZISLR2eevC9tS0lC+GVn1ukn0yY4Z8wyWZ++fV7FL+jxjRCTcpKHL25+clVC92ijRMwceeaRLvgixOBGhJL3PGBGFgdHhvLqR4+bHhhX7532hd8nHiJHB2wjpi4wRUTjY6qmbKag58NS/0fL4EmCrpPde9uyYU/qVJn2RJZYRGFnwGPoQysjInJKB5ZuCww3LN7diIy0DdcR3ZQMdHT0VtfVH0hlczRWBQ8Qf0opRwSPDie0tFd2rP4stO5ZUbKLtIjrQsGTrphrpbN5GRCDfBjxNy+t7sR0d95RAQ/8yyiomDe2rEeGSvs4IMXkNtR90moQCnusjhuf+jac7iFhHVhWUfm1J32SMmLw2y9HEmqY7VnTsWLB9VTcRZ/nlkt7ODOmbjBET10Gkr85KUcX+eWTV6zkmP2/I3DFjwTz0gT+wdAC29E3WRkzchtrBU5q8gdVR1cTAhpI9BTuY+HjpBUubPKVvMEZM2sCC30MfQvqE+ctyr44N2+e/mkfmE/8TPDKPts9EmgIjxKQ11kUoEn8+D+zYcf/y/X0x+aqJgj2r0IeQImaMmLCR1gcNRWLLyIIZvFn1Vf3UxTHSspnQYO0lFU3oQ0jRMkZMWMvSdjRF44E9v/9UCVG/uY3omdNTc5hQk+hy4jcm0pQ5xXLCDjyEPoL0BdXJf9YzvsThHS33VEDJZjIj3l3IJZ3PGDFZnRP+lYTlc43PyAZeJrJWwBD8T/hIS8cY5QxOaRrs1JisBVt3aSgBI3P29LQv/RtPDnCihHiguMlTXktPB9RRLxaTwvM2YqIGRj/clISCexqqn9oqn9aRH2togPHqO2R6NlTUbK09kr7N24iJ2lA5FEeJmx3NlBjZMHJPQUPH/ZV/3jtDunQhRohJGukMEUrejxHaPQuq5wFW6xuUPBoipEsxRkzSwXkRysDy+VnjwIr9UZ1EfeWpEtf+90s5sTZiktrJtMJJ11NTM2ekflMNceqv+ZaO4kL7OdasqK2LkC7C2ogJauhtQFPWZq82cfxZEnm5IHGgv3L9hZQLY8QEzbkP3k8vhbRi+zLMquHwXBI5Mr9YF8eKyo010gUYISanozBEKHP185aLkQ0tj88lkQXLi43QvqNhCP3LlBJgjJic1h4NZW/NwIEDc4qXBeRwatEXwHBGICi4Yxf6lyklwEeNiRlYvHoVlvI0cqBg+dPN3OzN10fLARjPmgQx82tN+jY7NSam8b1Wgl8WU1b0RyvAdnTcU9Kz+nIk8ElDugRvIiZlpHVihPSO6qUZdGAOPFIC1RdnQXTsWFyo60PKmzFiUlqWdrNL71jTMgAHFmyPgkBN/4n/74EDK2Y0lDwa2aULsDZiUmY/rS+S9FrLDqjZv4rcI4ufhra1dPDy3xs50LKmPnoUkfRd1kZMSEttiJA+sDx5i1AAw9HXz8iKgiUDKx4A2FFYUildnDcRE9J4ySqdbXlUHdExZ8k9S7bw8txhSJcuzxgxGQOjewels/0ostyx4/5l/sr6eZTV1oVc0hUYIybj4Ngp6RsqajYcmAEPR/UPSzp6nu4iLjUDU9KfLLGciJG577bSt4w0cGJkVceGmpqCw3OdhKRLMUZMxA7sYpeupqWj4w9aoGOkYGnHhnQBxoiJmF1sc6GkXzkwUFBSMnL4qUFU0tcZIyahoecu9CGkrMxfLf2SdB4jxCS4SUO6tcKtGtIFGCMmoKOwo126OWsjpO8zRkxAa6undHPeRUiXYIwIbqBzeqV0c9ZFSJdgjAjOuggpBGOEdAmu5gpspLXtTLo551lKl2GMCKxl6XdF0s1VjEf/V09HT0Hp3aD0Rc6NCGzGg10aUgBzthT09PRUVFRAQ23Bs/Ql3kYE1VIbIqQg7miBgvWrzbo+dkhfY4wIyvJKKZTq5NwI20Clr/FBI6ABXn0fJCk0bwelrzFGBHRwXoQ0KeP3/xVSZowRwYx0FnNJk9I7IFv6ImNEMN5FSNNj+7X0NcaIYDrLK6WJ6UMfQIqOnRqBNFR+3yNNzPFQqpHueabE0qcO6ZeMEYE03Ic+gqQ3KloKRno6oKaiZmTF76EPJk2WMSKIjsLGMmlylgx0QMX66Cu0YfDrVfoFY0QQrXUR0iSd/so0Rki/YollAAOdY6ekiPj1Kv2KMSIAR2BLMXEolfRrPmrc3EjLY+hDSJJ0Ad5G3FzL0lZPKSJ+vUq/5m3EzR14CH0ESZ/mSCrpPcaIG2uprfmWIlK+qo3o6egpKFl7SyFhjLg5yyuluBRAS0H/PNOyYg00tK7WkzBG3FiPrWNSbO5pgIL1q6/eNvSxpEkwRtxU41ZPKTol+5/+WcEQ+ljSJNipcUMjndegUhJG13VJgDHipg7eRUiJcCSV9MRHjRty7JSUit6OKwnwNuKGGmobxKRkGCMk8DbihhruQx9B0oX4qCE9MUbcSEfhdy9SMoqjIDHSPc+UqG3oVnaMETfi2CkpJRUNBSM9HVBTUTOy4ffQB5Nu7C9//afWR1zfwMKPFykpDQNQUR3dMy6489ZRmfE24ia8i5BSc2oGTMlgjFBmjBE3MNrqKWVhcCiVsuODxg00LG31lLLgV7py423EDTQ8hD6CpBtwz4by423E1bXUvpZKWfArXfkxRlydWz2lPHgXoRz5qHFlPTiQRspC+SpI9HT0QMnWigklzLkRV7ahcjm4lIkFS0r655mWFRXQUNnwrYQZI65qZO7YKSkbAw1QUB81fna03IU+mHQ1Pmpc1cG6CCkjJfsT/8yaCaXMGHFVjp2ScudcS6XNB40raqgtrZKy56eAUuZtxBU13Ic+gqTAOmOEkuZtxNV0lF5mSnLPhpJmjLiaxkZPSVLifNS4koHesVOSOJ5uOdK9zJSwi0tpMEZcSePAGUlAzY6SkZ4OqKmogY0xQolw/NRVOHZK0p8aBqB61bm1YmvNhJLgbcRVuI5L0p9OVUmVjKGPJV2ENxFXYXmlpPf09nEpEcaIK2ip/YiQ9C4/I5QGY8QVeBch6X196ANIF2KMuLgex81Iep+fEUqFMeLiLK+UJOXChs8Ls9VT0sdmR58TPR09ULJ1/4aiY4y4sB2Fg6ckfWBBRU3/MtOyZqTz00MRMkZc2IxHv5+Q9IGRA1BQH1VJ9BzcCqzoOH7qoppXc+ok6bSC/U//zJFUipEx4qIav5eQdKbeb0IUIR80LqijdKSMpLP5+aH4GCMuyLFTks7nSCrFyBhxMQM9dehDSIrW6CeIImSMuJjGVi1JUmYssbyQkdaxU5K+ZTj60dNMiZLaubiaNGPEhTgCW9L3LNlQ8DTVEmoqloxs/GzRpDl+6kJmPFhlLelb2ufVfsfzZ1ZsXeSlCfM24iJaakOEpG9anrh5cCiVps2biIuw1VPSdTiUStNmjLiAp2tISboGP100ZcaIC7C8UtK1OJRK05ZFbcTh6G2xvviAl4GOu9C/REmJ8i5C05ZFjLjuWCjrIiRJuUo0RowcKCkZbvBXfMtj6F+upGQNRz/u6OkZqdhaeKmJSLQ2YkPJmvoGjVLNqw5vSbqsih0dB1bMaIAtW+AQ+ljSsyTHT/UsuAd61lf/K96xU5KuaeQAFNRHVRI9B+5DH0wCEn3UGKmo4Qbb8joqQ4SkKyrY//TPKkdSaTKSu4kAjm4guiv/TJZXSrq9a3+ySZ+X5G1ERUVLwXDlVqmB/gY3HpL0lm2gmookYwTsGSiu/lf84cqtpJJ0iiOpNB2JxghuULEwOnZKUhCjtxGajCRrI27DEdiSQrHNXFOR7G3E9TU8hD6CpCwVR3VZAz09PSW139ooAGPEmRpqWz0lBVGzoQR6OqCmYsnIxhihAJIcP3ULC/a+TkoKpKUHqldTdFes7R3TzXkbcZa/5Q9DhKRgliduHrwfVQjeRJzlP+bfDH0ESXpl+P6/QvoyY8QZ/n0G/tPQh5CkV2wDVQjGiC/b8D/i9aGkqRlsA1UA1kZ80cJp9pIkPfM24ovu+Uf8q6EPIUk/8Y5UIXgb8UUF/8dzr7YkTclxiWVHT89IxdanDl2VcyO+qKPhPvQhJOknK0rq55mWFRU10AL70AdT0owRX+SAF0nTNHIACuqjjo2BjWP7dVU+anzJwGCIkDRJxYl7B+sldG3eRHzJgXXoI0jSpzmSStdmjPiCkc4YISkigyOpdGXGiC9o3J8nKSpj6AMoedZGfEHDY+gjSNIX9FZH6Mq8jfi05tVKXkmKgTFC1+VtxKe1dl9LikxB/9JdNjzPlChOrhmXzmOM+KQeLFWSFJmaDQXF8+zdmoo1AxtjhC7G8VOftKH2C09SdNrnb4KOH2U3LJ2AowvxNuJTBjruQh9Ckr7s1AOGVV66HG8iPqVxXoSkZNgGqsvxNuJTWls9JSVjsH9DF+NtxCc0LL0ElJSM0Rihi7HE8hNmPPhFJykZv/FH6CMoGUaID3VUhghJCbF5XZdjbcSHDmxDH0GSLqh/9eOOnpGKrY+3OoOPGh8YWFleKSkpK0rq55mWFRU10IKTenUGY8QHNlQ2e0pKysgBKKiPnjcGNjyEPpgiZIx418ic30MfQpJuYGGM0BmMEO86OABbUhYcSaXzWGL5LsdOScpDb0eazuJtxDuaV8tsJCllftrpHMaId7QWV0rKRGeM0FmMEb/U4ZAWSfnw807nsDbil7yLkJSPko76+ccjHT09xck149IxGz5/YWBhq6ekbPSs2FLQ0wE1FRUDGz8H9QFjxC/sKByCLSkjLT1QvSot37B8uaOQTvFR46TRVk9JmTn1gGHZpT7iTcRJLUu/fCRJ+oAx4qSD5ZWSRO83VPqAMeKEjsp5bpKEbaD6iCWWJyzYWlQkSfyFv4Y+gibOCPGTgdEQIUngZ6E+ZKfGT6yLkKQnw9GPezp6Riq2VkzohY8ab4zMHbciSQBsgCU9PT0VFTXQAvvQB9NkGCPe2OEXiCQ9GWkYKaiPSi1HVjyEPpgmwxjxxoxHr+sk6R0LY4ReGCFeaV6NgZUkSe+xxPKVlrvQR5CkSev8ZktHvI040oFjpyTpA35O6gdvI460tnpKStZAA8Cakh0ANTXd82Lwz0+I6EP/QjQplli+GFjY6ikpYR0L/qAARn7j/nmj5+5LIeLr/32lzduIFw3b0EeQpCuqOF79/eePyudQcGB8+c/eCwol3ct/OtLR01OcXDOuHBgjno20PIY+hCRdUQH0VED7EiKal8fcz34jVbOgoKR/fg6p2NKzsc8tU8aIZy1LvwQkJW+E54mUIzCcUS5ZckdH/2oods2S3qeOLBkjnh0cpyIpeU+hoWcN9CzpziostzZCP1heCUBHbQuTpOSVDHQvVQzd0Yhr6TzGCAAOFgdJysLAQMFTueV4wRjR+yycKR81gIHRKzpJWeheismbC7e4e7ORJ2MEcHDslKQsVEffMm0ven/gUKpcOX6KkYWtnpKy8KMz45wejffM/RzNlLcRHHzQkJSJ8sSPLmM8+nFPy8BIyd6KieR5G8GMR/+gS9K3bICagf55KkVNQQPsQx9MV5Z9jGjoXQ4uSd800jBSUB+VWvpknIPsY8SCOydGSNJVWDGRvqwjBHRc/oVQkvTEB+P0ZR4jWls9JelKbALNQdYx4ngorCTpsi45JVNTlXWMaD69GFeS9FVD6APoBjKeGzHSWvwjSVczWBuRgYxjRMvSP+KSdDXVUXXESMtADyytSUtKxg2fMx7s0pCkqxlYsKakpwNqKmp6No78S0q2MaKlc+yUJF1VRwfPMy3/tKOyuD0h2T5qWF4pSddWu7MoeVneRMDA6B9uSQrCJ42UZBojDpb4SFIQtoGmJcvaiJE5v4c+hCRlacFD6CPogrKLEAAHy3skKZAx9AF0UVneRsxsN5KkQH7jj9BH0AVl2KnRvGo9kiTdUsn48hnc0zIwUrJ1jk+kMryNmHPvH1dJCmTHSM1AT0/1PFOiYXSST6SyixEdB8t7JCmYp7HYBfXR/s+RhTuOIpVdjNhQW2ApSRMzs38uUllFCBjoDBGSNDk+NccqsxjhCGxJmh5HUsUrq06NkdbXN0manOGoTkJxyeo2omVpq6ckTY4jqeKV1W2EPRqSNEV96APobBnFiJbaIh5JmqDqKEg8NYT2QG01WwQyavhcsHU5uCRN0MicJRU9HVBTUTOw4sFv/iYvmxgxsLK8UpImqqeF55mWf9pRsg59MH0gm0eNg38YJWmyqpO9GpZeTl8WNxEw0hkjJCkytoFOXyYx4uDsSkmKjHcRMcjkUaOz1VOSIuNQqhhkcRvRUDl2SpKi4yf39GXRqTHn3qYhSYrMX/hr6CPoQxk8anQUhghJik7F+HIf0dMyMFKw9aljUjK4jdiwdOyUJEVnx0DNSE9PRUVNScPAXeiD6UjyMWJgwe+hDyFJ+rKnsdgF9av7h5mf6ZOSfIxwCpokpeQ3/gh9BB1JvDZipHUEtiQlxMqIaUn6JgJaljYMSVIyhtAH0BuJ30YcHDslSQlxJNXUJH0b0VLb6ilJ0tUkHSMaN2lIUlK60AfQGwk/agzgvAhJSkpF//LjkZaeAajYhz5YthKOEW71lKTU1Gx4ChMdUFNTM7Bh8Ak7kGTnRozMHVEiSckZaICK+qgPzwlB4SR7G+FdhCSlqDz5gGEjaCjJxojOVk9JyoaVcKEk+aABDZVjpyRJurJkY8Q29BEkSTfSO5QqmCRjREdhza4kZcT751CSjBGtdxGSlJH++/8KnSnBEsuBjrvQh5Ak3Ux1NDeip6UHCrY+ddxAgnMj7B+WpLzsGKgZ6empqKgpaRj8lvIGkosRI3MefSWTpKy09BTUr+4fZg4hvIHkYsSB0dnqkiR+44/QR8hAcrURjWOnJElgZcRNJHUTAS21rZ6SJMbQB8hEYjGicZOGJAno/abyJpKKET3OVZckPbHY/haSihHeRUiSnjiS6jYSKrEcHTslSXpW0b78eKSlZwAqe/kuLKGGzx34x0OS9GzGkpKBDqipqBnZsLeD46ISihEzx05Jkl4MtIxU1Ed/Nzjn+NKSedRoXv1BkSTlrjyxprFgCH2sxCQUI+5DH0GSNHGjTxoXlsiDRkdhh7Ak6UPeW19WIjGiOXF1JUnSaw6lurQkYsRA79gpSdInGCMuK4kY4V2EJOkzLLC8tARKLEdaHkMfQpIUgZLh5T6ip6UHCrYWXp4tgbkRB0bHTkmSPuFATwX09FRU1FQ0dPb6nS2BGDHjwbcuSdKntPQU1K/uH2b8HvpY0Yo+RrRu0pAkfYsx4nxRRwiAxrGmkqRvcZbE+SKPET1YGCNJ+hZjxPkijxENy9BHkCRFrbO+7huijhEjnU8akqRv8jbifFHHiIMhQpKkgKIeP+XYKUnS941HP2rpGYDKiUSfEnHDZ0Nvq6ck6dtmLCkZ6ICamoqRDXtL+D8h4hgx596yGEnStw20jFTUR1USB3Bf0ydE+6jRURoiJEkXUJ4IDIVrvD4l0psIx05Jkq5p8FvVT4k0Rgz01KEPIUlKmDHiMyKNEY0vVpKkK+qdJvEpUdZGjLSuUZEkXZV9Gp8R5W2EI7AlSZqCKG8jGh5CH0GSlLgfRZY9LT2AsyR+EuHciJbOsVOSpKs60FMBPT0VNRUVDR33oQ82MRHGiIVpUJJ0dR0dBfWrv3FmVua9Ed2jRo9lL5Kk66tPDBawe+OtyG4iLK+UJIUzfv9fkZjIYsRI5/RKSVIgjqR6K7IYcTBESJIC6XzU+ElktREtj6GPIEnKlrcRb0V1G9G8WuIqSZLCiuo24uDYKUlSMMfLw0daegagYh/6YAFFFCM6Kq+TJEnBVPTsKBjpgJolFbCiy3jndEQxorG8UpIU1AMdAxXboyf2mj7jGBHNFMuBhbPDJEmT09Fl/KwRRYQAOLANfQRJkn6SdxtoJDHCsVOSpKnKeUVDJDHCEdiSpGkavv+viFgkJZaNrZ6SpEkaMy6wjOQ2oqG21VOSpMmJ4jaizbgGVpI0bQX9S3VET0sPwD6TiokIYkRP3uUrkqQpqzhQUtDTUz0PperYZfIYH8HciA2VXRqSpMnq6CioX33L+xt/hD7WTUw+Rjh2SpIUn4W3EdOwo3DwlCQpMn/hr6GPcBOTr41oeQx9BEmSviiXJtBJ30Q8tXrmPGRUkhSjPvQBbmbitxGHTN6WJEkpGbPpMJz0bURH5dgpSZIma9K3EY2NnpKkCBVHmzZGWnoGoEpwmOKEOzUGVpZXSpKiNGNJwUgH1NTUjGxYJ1d6OeEY4dgpSVKsBjoGqleNAg1DcvcRk40RI3PHTkmSEtLRJRcjJhkhABqWoY8gSdIFpdgGOtkSy8a6CElSUsbkKiMmexvh2ClJUmrG0Ae4gonGiNbiSklSYoYEh1JNMkb0kOBvtSQpd+nds0+yNsKxU5Kk9BT0L98k97TPJZf7qL9xnmDD58DCVk9JUnIO9JQU9PRU1FRUdJFvj5pgjNhRsA19CEmSLq6jB+pX9w+zqL91nmCMmPGY4OuRJEmnLKK+jZhYhHgaO2WIkCTlIu6hVJMrsYz7jUiSpK8pQx/gWyZ2G9FRRf4bKknS5w2R38BPLEbY6ilJyskQ+TfPk4oRA0OC88YlSfq1uG8jJlUbcfAuQpKUlfKoxHKkpWcAqmgWik+o4XNkHnXvrCRJXzdjCUAH1NTUwIp1JLfzE7qNaJ5/IyVJysfD81TL7dHzRk0XSYyY0G2EY6ckSQLo6CJ51phIhICG2hAhSRIwhD7Ap00mRrSWV0qSBMAQzdbPicSIDqL5LZMk6dpiuZ+fSIzwLkKSpD/10QylmkSMGOjs0pAk6UUsMWISDZ+OwJYk6YfyqOGzp30eUbWf4PP/BBo+R+a2ekqS9KKhpQIGeipqakp6dhPcgT2BGNEwRNIdK0nSbXT0QP3q/mE2wVnPE4gRMx6ieQOSJCmUxQRvI4KXWHZUhghJkj40xaFUwWOEWz0lSYpV4BgxMEayfESSpJDGSd7dB44R3kVIkvQZ/SR7GoPGiJHOGCFJ0qdM8TYi6Pipg7MrJUn6lPJ5CBXASEvPAFRsg95SBG34nDl2SpKkT5o9f/PdATU1NbCiDnqvH/A2oqE2REiS9EkP9PRv7h/WdEHPFDBGtM6ulCTp00rKE8UA/Rn/pssJ9qDRwQRXjEiSpM8LFiNaezQkSfqm0N0bgWLEQGeXhiRJ31Qy0gT8+QPFiMa7CEmSLuCBlk2wnz1Iw+fI3FZPSZIuZMPIXZC/V4PcRvQsDRGSJF3IHRW7ID9z0PFTkiQpZkYISZJ0JmOEJEk6kzFCkiSdyRghSZLOZIyQJElnMkZIkqQzGSMkSdKZjBGSJOlMxghJknQmY4QkSTqTMUKSJJ3JGCFJks5kjJAkSWcyRkiSpDMZIyRJ0pmMEZIk6UzGCEmSdCZjhCRJOpMxQpIknckYIUmSzmSMkCRJZzJGSJKkMxkjJEnSmf6Gv/DPQh9CkiRF6C//P2WMi9ypq40OAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDI1LTAzLTExVDE1OjA0OjU1KzAwOjAwXp6elQAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyNS0wMy0xMVQxNTowNDo1NSswMDowMC/DJikAAAAodEVYdGRhdGU6dGltZXN0YW1wADIwMjUtMDMtMTFUMTU6MDQ6NTUrMDA6MDB41gf2AAAAE3RFWHRwZGY6VmVyc2lvbgBQREYtMS41UzZawQAAAEp0RVh0c2lnbmF0dXJlADEwYTFlOGEwMTUwNDEyNjQwYjAzZTRmOWVkZjRkOGJlYWJiNDhmOWFiNmE4NzMxOTBlM2U3N2IyY2U2NDViZmE2KQDwAAAAAElFTkSuQmCC",
      "text/plain": [
       "<wand.image.Image: 10a1e8a 'PDF' (1059x992)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mermaid:\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
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      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "asciipdf:\n"
     ]
    },
    {
     "data": {
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kBgCFMABQCAMAhTAAULzzMLSpTaNnADgt7zwMWWY5egSA0/LewwDAKxMGAAphAKAQBgAKYQCgEAYACmEAoBAGAAphAKAQBgAKYQCgEAYAisvRA/yiTbajRwA4LdZ8BqBwKAmAQhgAKIQBgEIYACiEAYDiPgztavQgSdLmNrVp9BQA5+1hj+EqGftPclu2m9xlmc+j/0oAzttF0j63q2zazeB/kq+y6du+zmr0XwnAeWs9SbvOdW77bVvkev8D/cOBBlnmn9lknU/dvcwAA7We9jl3mZJM/c+Bg0x92+bMWfbfR/+lAJyz1tMWfdM+9z/aom8GDvJxt6/QPvc/Rv+lAJyzy6RvkqzuX0e6bneZsh79VwJw3o7mIXpt6tu2zMYZBoCxjiYMABwHdz4DUAgDAIUwAFCcWBg8awngV51YGLLMcvQIAO/bqYUBgF8kDAAUwgBAIQwAFMIAQCEMABTCAEAhDAAUwgBAIQwAFMIAQCEMABSXowd4ZZtYGhTgl1jaE4DCoSQAiguL2wDw1EXSt7mWBgB2doeSbnMzehAAjsNFkvRttu0Hl8RsV/YuAE7Zw8nnda5+8E/c5aZ9FAeAU/V4uWr7Z//9h//QItdJbvtm9PgAvLYvYfir/+NFf3DKTcQB4OT81B7D4x+e8q/8O/9T3vwt/9n/XP8w+msC8KO+PBLjhWcN2pTrLPJffT36KwDwmr6E4QXPGHIYCeB03YehLXL3Y3/AiWeA0/awx3CVHz0ktMyn7gmmACfr4T6GxY+eK+grWQA4ZRdJ0j7GdUMAJElaT5syOWMAwI6FegAoTnyhnrYYPQHAe3PCewxtyk2mLHLbV6NnAXg/TjYM7TqL3d0W7SrLrPoP3qcBcO5ONwzT08tq28LpdYAfc7JhAODnnPjJZwBeShgAKIQBgEIYACiEAYBCGAAohAGAQhgAKIQBgEIYACiEAYBCGAAonoTBojYAPAlDu8n2V34RAKfhPgztKnddGAB4WI+h/bP/PnoUAI7BRZK0ZSx8CUCSh0NJszAAsLMLw+TEMwA7l0mSZdaH+j/YFrnee+u3/Gf/U/3D2L8WgPO1C8MBDyT1TfyjD3DE3PkMQLELwyrz6EEAOA4XSdLv4nEYACT5cihp1ewzAJDHMPRVlm0aPQwA490/EiNJ2rK7zQ3g7D0JAwC4XBWAPWcWhjY5kwLw984sDFlmOXoEgON2bmEA4BnCAEAhDAAUwgBAIQwAFMIAQCEMABTCAEAhDAAUwgBAIQwAFMIAQHE5eoAD22Q7egSA42ahHgCKC2sUAPDURdK3uZYGAHZ2J59vczN6EACOw0WS9G227YhWNmtX9mAARnm4XHWdq9GjPHGXm/ZRHABGeLwqqf2z/z56mDLYItdJbvtm9CQA5+VLGP7q/xg9zFfDTbmJOAAc1NHuMTwOOOVf+Xf+p7z5W/6z/7n+YfSkAKfhy53PR3hEv025ziL/1dejJwE4H1/CcGSPinAYCWCM+zC0Re5Gj/KFE88A4zzsMVzlmA7XLPOpH9keDMC5eLiPYXFMx/H7ShYARrlIkvYxrukBIEnSetqUydF8AHasxwBAYWlPAIozC4NFiQCec2ZhyDJH9HhxgGN0bmEA4BnCAEAhDAAUwgBAIQwAFMIAQCEMABTCAEAhDAAUwgBAIQwAFMIAQHH567/iXdnEoqEAf8tCPQAUTw4ltcXoYQAY7zEM7cZBFgAew9CucteFAYDHPYbrvh49ymG1K4t8AnzLZZK0Ze5GD3Jwd7lpySf7SQBV60naTTZ9NXqUAV9+keskt30zehKA47G7j2E6zxPPfZMPbcpNEweAR7swLHNSZxju9wS++C3/O/+qn+kf7l+3+dCm/LN9Osd9JoCv7cJwYmcY+iYffvSzbcp1FvlwbiffAb7n3B6JUbQpN3EYCaDYhWGVq9M6mPQ8J54Bvu3+WUntc/9j9CgH/uJXWbtUFeBrD2G4ytZRdgAe73zuqyzdCQxAeex2W/YTuzoJgJezHgMAhaU9ASjOPgxtcm4F4KmzD0OWWY4eAeCYCAMAhTAAUAgDAIUwAFAIAwCFMABQCAMAhTAAUAgDAIUwAFAIAwCFMABQXI4eYLhNrPwM8ISFegAoHEoCoLiwVA0AT10kfZtraQBgZ3co6TY3owcB4DhcJEnfZtsscAlAvpx8Xudq9CgAHIP7MPS72GMAIE8vV3X6GYA8vfPZ/b9PtEWu9976Lf/Z2/7f+Vf9SP8wem6AX/d453P7q/9j9DAAjPflUJI9BgDyGIa2yN3oUQA4Bg97DFdZjx4FgGPwEIZFFwYAch+G9jGupwEgSdJ62pSpb0YPAsBxsFAPAIWFevZYnQI4d8Kwb+mpUcB5EwYACmEAoBAGAAphAKAQBgAKYQCgEAYACmEAoBAGAAphAKAQBgAKYQCguBw9wNHZZDt6BICRrMcAQOFQEgDFkzC0xehhABjvMQztxrF1AB7D0K5y14UBgMc9huu+Hj3K6WlX1o8G3p/LJGnL3I0e5CTd5aYln+yLAe9J60naTTZ9NXqU09QWuU5y2zejJwH4Mbsb3CYnnt9K3+RDm3LTxAF4J3ZhWMYZhl90v2dQ9A/3r9t8aFP+1f6d//n2JwCOxy4MzjD8sr7Jd/+Rb1Ous8h/OcEPvAeelfTG2pSbOIwEvCO7MKxy5WDS63PiGXiP7h+i1z73P0aPcnraVdYuVQXem4cwXGXrCDgAj3c+91WW7tIFoKzH0Jbd1UkAZ89CPQAUFup5hlUqgHNjj+FvtCk3mbLIrSdJAedDGL6rXWexuwehXWWZlTMwwHkQhu9q09N7ENrCbWrAeRAGAAonnwEohAGAQhgAKIQBgEIYACiEAYBCGAAohAGAQhgAKIQBgEIYACiEAYDiImmT1Z4BeHCR9G2upQGAnd2hpNvcjB4EgONwkSR9m21bjh4FgGPwcPJ5navRowBwDO7D0O9ijwGAPL1c1elnAJJcPv60/YXfwitoi1zvvfVb/rP/qf5h9JzAqWv94Ye/+j9GDwPAeF8OJdljACCPYWiL3I0eBYBj8LDHcJX16FEAOAYPYVh0YQAg92FoH+NaFwCSJK2nTZn6ZvQgAByHx8tVASCxUA8Ae4ThGZYxAs6NMDxn6fGCwHkRBgAKYQCgEAYACmEAoBAGAAphAKAQBgAKYQCgEAYACmEAoBAGAAphAKC4HD3A0dtkO3oEgEOyUA8AxZNDSW0xehgAxnsMQ7txyASAxzC0q9x1YQDgcY/huq9Hj8JraFeWIgV+zWWStGXuRg/CK7nLTUs+2f8DflbrSdpNNn01ehReS1vkOslt34yeBHiPdvcxTE48n5K+yYc25aaJA/ATdmFYxhmGd+h+z6DoH+5ft/nQpvyr/Tv/8+1PAHzbLgzOMLxLfZPv/iPfplxnkf9yUQHwUh6JcYLalJs4jAT8pF0YVrlyMOk0OPEM/Kr7ZyW1z/2P0aPwGtpV1i5VBX7FQxiusnU0GoDHO5/7Kkt3zAJQHrvdlt3VSQBnz3oMABSW9gSgEIYXa5OzMcApE4aXW2Y5egSAtyMMABTCAEAhDAAUwgBAIQwAFMIAQCEMABTCAEAhDAAUwgBAIQwAFMIAQHE5eoB3aBNrKgMnzEI9ABQX1hcA4KmLpG9zLQ0A7OxOPt/mZvQgAByHiyTp22ybVckAyJfLVde5Gj0Kx6b5/wk4S/dh6HfWMeYrV4mzT3B+vtzg5h8Anmif21U27SafR08CHNqXG9zctHWm2iLX++/1D/2Pdp05t/330fMBh/Z4g1v7q/9j9DAcj/Y5d5mSTP3P0bMAh2WPgW/70Dftc/+jLUYPAhza/TmGtsjd6FE4Jn2TZHX/CpyVh5PPV1mPHoVj01ejJwBGeAjDogsDALkPQ/uYD6MHAeA4tJ42ZXIkGYAd6zEAUFjaE4BCGAAohAGAQhgAKIQBgEIYfpnlbIDTIgy/znI2wEkRhl/y9XI2bX6IxO51f/tb7wAcEze4/aJ2nevc9tskaXPmbDJnk3XmrDLV7X63/4numbbA0RGGX1KXs2mL3aNF2jJTX3+9/a13AI6NMPyStnhYzsbTpoBT4RzDL7GcDXB67DEAUNhjAKAQBgAKYQCgEAYACmEAoHhRGNpi9LgAvLUXhKHdZDt6XADe2g+HoV3lrgsDwMl7DEP7/Mwnrz3bB+AcfNlj+NtHQLdlPAcU4Cz86KGkWRgAzsOPhmFy4hngPFy2j/c/LR5+6h++8bllnGEAOAuXDxloy28G4YEDSQBnwp3PABQ/GoZV5tGjAnAIPxiGfhePwwA4C48ruLXp7+9rblfZusUN4PQ97jE897iLvsqyTc/9OgDeuxet+dyW3dVJACfuRWEA4PS5XPXF2uSQGnDKLkcP8A4tE/eBc3jtendtYP/w5adk98SCv709FV7IHgO8E/02ydw/JP0221zfx+BTpnwaPRunRRjg/fhybeA6026p3b61hBavTRjg3eh32eQqSbLM3e6ndpXV6Lk4NcIA78mXh9Os7hPx7D1I8FLCMFybH65yenzde+el2996hxOxylWb2pRtVlk2D6rhTbiP4cXanLzWw0HanDmbzNlknTmrfrf/TqaXbX/9G9yUeFrav/Mp275K2l9ZZZO1PQZemzC82KuGYdE3SdKWmXa/c/+dl25/6x1OSfuYRVZ9lbSbXOVTd4aBVycML/aaYYCXasv8lT/6KmmL/Hv3E7wu5xjgXel3udvFoG9y51ZL3oIwwHvzx+NPvzu/wFsQBnhndueQEheq8laEAYDCQ/RebhP/Ow04Ya5KAqBwKAmA4sLCMwA8dZH0ba6lAYCd3aGk29yMHgSA43CRJH2bbVuOHgWAY/Bw8nn98Gx3AM7bfRj6XewxAJCnl6s6/QxAnobB3bwAxB4DAHvsMQBQ3IehLWJlYADyZY/hykpQACRfwrCwijEAyX0Y2sd8GD0IAMeh9bQp05fFAgE4bxbqAaCwUM8zrFYBnBtheM7SU6SA8yIMABTCAEAhDAAUwgBAIQxnoc0P11Y9vu6986vbwOlwH8Mz2py878eFtDlzNpmzyTpzVv1u/51Mv7bdPYARToowPOMEwrDY3dfelpl232T/nV/dBk6LMDzj/YcB4GWcYwCgEAYACmEAoBAGAIrL0QMcvU22o0cAOCRXJQFQOJQEQPEkDG0xehgAxnsMQ7txLB2AxzC0q9x1YQDg4eRz+2f/ffQoAByDiyRpy3g+JgBJHg4lzcIAwM4uDJMTzwDs7MKwHD0GAMdiFwYHkgC4585nAIpdGFaZRw8CwHG4SJJ+F4/DACDJl0NJq2afAYA8hqGvsmzT6GEAGO/Jegxt2V2dBHD2LNQDQOFyVQAKYdjTJudagPMmDPuWHhACnDdhAKAQBgAKYQCgEAYACmHglbT54Xqu3ev+9vOfeP43AIfgBrc9bU76evQU702bM2eTOZusM2eVqW73u+c+8dy2u/LhcIRhjzD8jLbomyRpy0x9/fX28594/jcAhyIMe4QBOHfOMQBQCAMAhTAAUAgDAMXl6AGOzibb0SMAjOSqJACKCysQAPDURdK3uZYGAHZ2J59vczN6EACOw0WS9G22zbplAOTL5arrXI0eBYBjcB+GfmelYwCSpze4Of0MQJ6GwW1dAMQeAwB77DEAUNyHoS1i6UQA8mWP4SpWLQMgX8KwsJwlAMl9GNrHfBg9CADHofW0KVPfjB4EgONgPQYACkt7AlAIwx7LFgHnThj2LT1OEDhvwgBAIQwAFMIAQCEMABTCwDvS5odrxnavz23/zJ8A3OC2p82J50YdozZnziZzNllnzirT32/3u5f/idHfEY6DMOwRhmPVFrsHt7Rlpr5+fvtn/gSQCMNXhAE4d84xAFAIAwCFMABQCAMAxeXoAY7OJtvRIwCM5KokAIonh5LaYvQwAIz3GIZ24xAKAI9haFe568IAwMM5hvbP/vvoUQA4BhdJ0pbx+DAAkjwcSpqFAYCdXRgmJ54B2NmFYTl6DACOxS4MDiQBcM+zkgAodmFYZR49CADH4SJJ+l08DgOAJF8OJa2afQYA8hiGvsqyTaOHAWC8J4/dbsvu6iSAs2c9BgAKl6sCUJx9GCxPxPvTJmcEeUtnHYY2tY+5af9sV6MngZfo21xLA2/njM8xtOsscts3SbvKMiun3nk/2pSb/mH0FJyqcw7D9HTNurbom9ETwY9rN1n7HzO8jTM+lFSXMpUF3pl1HALljZxxGOA963cel89bEQYo2vxwWnf3+tLtH/nEK3H6mTdyxucYYF+bM2eTOZusM2eV6WXb/e653/CaZwXaP/vvo//GOE3CAI8eLkFoy0x9/fLtH/nEK077V//H6L8xTpMwwDtlj4G34hwDvEttYUle3oowwPt0lVc+NAUPhAHep8Vrn7OAB8IA71D7GA/E4M04+QzvTpsyuVeftyMMABQOJQFQnFkYLHAC8JwzC0OWHjwG8PfOLQwAPEMYACiEAd4FK5NzOMIA78PVq6/nAN8hDHBwL14M6HO7yqbd5PO3/zy8rjO7wa3NiSfMMNJLFwPaLe3TrnOd23779Z9/zaV/YEcY4KBevvhP0j7nLlOSqf/5lkv/wI4wwNFri75pn/sfD1GAt+UcAxy9vkmyun+FNycM8C701egJOB/CAEAhDAAUl6MHOLBNtqNHADhuZ3ZVEgDPOfFDSdZfAHipEw+D9RcAXurUwwDACwkDAIUwAFAIAwCFMABQCAMAhTAAUAgDAIUwAFAIAwCFMABQCAMAxamvx2D9BYAXsh4DAIVDSQAUwgBAIQwAFMIAQCEMABTCAEAhDAAUF0nS5jbtNnev+9sAnI+WOXM2mbPJOnNWmep2vxs9IgCH1LLomyRpy0x9nbS9bQDOi0diAFA4+QxAIQwAFMIAQCEMABTCAEAhDAAUJxaGNrlXG+DXnFgYssxy9AgA79uphQGAXyQMABTCAEAhDAAUwgBAIQwAFMIAQCEMABTCAEAhDAAUwgBAIQwAFJejB3hlm2xHjwDwvrU+egIAjopDSQAUwgBAMfwcQ7vOIkn6hy8/Je3jw08AHNYRnGNoHzP3fyRJu8lN/3+SpE35mA/diWSAgzuGQ0mrLO9Xal5naru9hm3uZAFghCMIQ7/LJldJkmXudj+1q6xGzwVwno4gDElWmR9/2iUi9hcAxrhIkjbfH8rJ7nV/+82tctWmNmWbVZa7g0kAjNEyZ84mczZZZ84qU93udwcZ49/5lG1fJe2v/H/5X/k/+f+f/nfXJwEcSsuib5KkLTP1ddL2tg80xscssuqrpN3kKp+6MwwAgxzB5apJ0pb5K3/0VdIW+ffuJwBGOJIwJO2v3b0MSfsrvzv1DDDK8YTh/hBW0iZZABjnaMIAwHE4jvsYADgawgBAIQwAFMIAQPHOw9CmAz20A+BsvPMwZJnl6BEATst7DwMAr0wYACiEAYBCGAAohAGAQhgAKIQBgEIYACiEAYBCGAAohAGAQhgAKC5HD/CLNrE+NMCrsuYzAIVDSQAUwgBAIQwAFMIAQCEMABTCAEBxkSRtbtNu8/F1752vPwHAaWqZM2eTOZusM2fV79reO5n2PzF6aADeTsuib5KkLTP1dZK0vXfaV58A4HS58xmAwslnAAphAKAQBgAKYQCgEAYACmEAoBAGAIp3FYa2GD0BwOl7Nze4tSk3mbLIbV+NngXglL2TMLTrLHLbN0m7ytLzmgDeznsJw9S3T7bun94EwOt7J2EA4FDe1clnAN6eMABQCAMAhTAAUAgDAIUwAFAIAwCFMABQCAMAhTAAUAgDAIUwAFAIAwCFMABQCAMAhTAAUAgDAIUwAFBcJEmb27Tb3L3ubwNwPlrmzNlkzibrzFllqtv9bvSIABxSy6JvkqQtM/V10va2ATgvrY+eAICj4uQzAIUwAFAIAwCFMABQCAMAhTAAULyrMLTJndgAb+1dhSHLLEePAHDq3lcYAHhzwgBAIQwAFMIAQCEMABTCAEAhDAAUwgBAIQwAFMIAQCEMABTCAEBxOXqAF9lkO3oEgFPX+ugJADgqDiUBUAgDAIUwAFAIAwCFMABQCAMAhTAAUFwkSZvbtNvcve5vA3A+WubM2WTOJuvMWWWq2/1u9IgAHFLLom+SpC0z9XXS9rYBOC8eiQFA4eQzAIUwAFAIAwCFMABQCAMAhTAAUBx1GNrkzmuAQzvqMGSZ5egRAM7NcYcBgIMTBgAKYQCgEAYACmEAoBAGAAphAKAQBgAKYQCgEAYACmEAoBAGAIrL0QP8rU22o0cAODetj54AgKPiUBIAhTAAUAgDAIUwAFAIAwCFMABQCAMAxUWStLlNu83H1713vv4EAKepZc6cTeZsss6cVb9re+9k2v/E6KEBeDsti75JkrbM1NdJ0vbeaV99AoDT5ZEYABROPgNQCAMAhTAAUAgDAIUwAFAIAwCFMABQHFUY2uSBGwCjHVUYssxy9AgA5+64wgDAcMIAQCEMABTCAEAhDAAUl7/6C9oi1/vv9Q+jvxYAP+uo1mNoc2IpIICxHEoCoBAGAAphAKAQBgAKYQCg+OXLVV/VJtvRIwCcu6O6XBWA8RxKAqAQBgAKYQCgEAYACmEAoBAGAIqLJGlzm3abu9f9bQDOR8ucOZvM2WSdOatMdbvfjR4RgENqWfRNkrRlpr5O2t42AOfFnc8AFE4+A1AIAwCFMABQCAMAhTAAUAgDAIUwAFAMDEObPHAD4PiM3GNYZjn66wOwz6EkAAphAKD46TC0qTkQBHCCfjIM7WOuM7X/dvoY4NRc/swfanMW/Y+kTbnJh9FfAYDX9FNhyJxtm5PYXwA4OT8XhmRrER+A0/Rz5xjWmXc/tKvRXwCA1/VTewx93W7bx6yziBWhAU7MLyzt2Zb9l7LQ5sQBKYBj8ws3uP1aFgA4Tu58BqD42auSXsMm29FfH4B9v3COAYBT5FASAIUwAFAIAwCFMABQCAMAhTAAUFwkSZsfFtzZve5vA3A+WubM2WTOJuvMWWWq2x58AXBeWhZ9kyRtmamvk7a3DcB5ceczAIWTzwAUwgBAIQwAFMIAQCEMABTCAEAhDAAUBwxDW4z+sgA870A3uLUpN5myyG1fjf7KAPydg4ShXWeR275J2lWWnr8EcMwOE4apb59s3T+NCYBj5FlJABSuSgKgEAYACmEAoBAGAAphAKAQBgAKYQCgEAYACmEAoBAGAAphAKAQBgAKYQCgEAYACmEAoBAGAAphAKAQBgCKiyRpc5t2m7vX/W0AzkfLnDmbzNlknTmrTHW7340eEYBDaln0TZK0Zaa+TtreNgDnpfXREwBwVJx8BqAQBgAKYQCgEAYACmEAoBAGAIo3DEOb3DcN8P685R7DMsvRXw+Al3IoCYBCGAAohAGAQhgAKIQBgEIYACiEAYBCGAAohAGAQhgAKIQBgEIYACgu3/B3b7Id/fUAeKnWR08AwFFxKAmAQhgAKIQBgEIYACiEAYBCGAAohAGA4iJJ2tym3ebj6947X38CgNPUMmfOJnM2WWfOqt+1vXcy7X9i9NAAvJ2WRd8kSVtm6uskaXvvtK8+AcDp8kgMAAonnwEohAGAQhgAKIQBgEIYACiEAYDi1cLQJvdEA5yC19tjWGY5+ssA8OscSgKgEAYACmEAoBAGAAphAKAQBgAKYQCgEAYACmEAoBAGAAphAKAQBgCKy1f7TZtsR38ZAH5d66MnAOCoOJQEQCEMABTCAEAhDAAUwgBAIQwAFMIAQHGRJG1u025z97q/DcD5aJkzZ5M5m6wzZ5Wpbve70SMCcEgti75JkrbM1NdJ29sG4Lx4JAYAhZPPABTCAEAhDAAUwgBAIQwAFMIAQCEMABQ/HYY2eVwGwCn6+T2GZZajhwfg9TmUBEAhDAAUwgBAIQwAFMIAQCEMABTCAEAhDAAUwgBAIQwAFMIAQCEMABSXP/0nN9mOHh6A19f66AkAOCoOJQFQCAMAhTAAUAgDAIUwAFAIAwDFRZK0uU27zd3r/jYA56NlzpxN5myyzpxVprrd70aPCMAhtSz6JknaMlNfJ21vG4Dz4s5nAAonnwEohAGAQhgAKIQBgEIYACiEAYBCGAAofjoMbfK4DIBT9PN7DMssRw8PwOtzKAmAQhgAKIQBgEIYACiEAYBCGAAohAGAQhgAKIQBgEIYACiEAYBCGAAoLn/6T26yHT08AK+v9dETAHBUHEoCoBAGAAphAKAQBgAKYQCgEAYAioskaXObdpuPr3vvfP0JAE5Ty5w5m8zZZJ05q37X9t7JtP+J0UMD8HZaFn2TJG2Zqa+TpO290776BACny53PABROPgNQCAMAhTAAUAgDAIUwAFAIAwCFMABQ/HAY2mL0qAAcwg/d4Nam3GTKIrd9NXpgAN7WD4ShXWeR275J2lWWnpUEcNp+JAxT3z7Zun9yEgCnybOSAChclQRAIQwAFMIAQCEMABTCAEAhDAAUwgBAIQwAFMIAQCEMABTCAEAhDAAUwgBAIQwAFMIAQCEMABTCAEAhDAAUF0nS5jbtNnev+9sAnI+WOXM2mbPJOnNWmep2vxs9IgCH1LLomyRpy0x9nbS9bQDOS+ujJwDgqDj5DEAhDAAUwgBAIQwAFMIAQCEMABTfDUOb3PUMcI6+v8ewzHL0cAAcnkNJABTCAEAhDAAUwgBAIQwAFMIAQCEMABTCAEAhDAAUwgBAIQwAFMIAQHH53f+yyXb0cAAcXuujJwDgqDiUBEAhDAAUwgBAIQwAFMIAQCEMABTCAEBxkSRtbtNuc/e6vw3A+WiZM2eTOZusM2eVqW73u9EjAnBILYu+SZK2zNTXSdvbBuC8eCQGAIWTzwAUwgBAIQwAFMIAQCEMABTCAEAhDAAUwgBAIQwAFMIAQPEYhnY1ehQAjsGXPYYrD9kG4P4heu1zVllmm7n/PnogAMa6SJL+R6bM2coCAA97DHeZkkz9z9EDATDWLgyLvmmf+x8Pi/QAcL52h5I2SVb3rwCcNSu4AVC4wQ2AQhgAKIQBgEIYACiEAYBCGAAohAGAQhgAKIQBgOK7YbBwD8B5+v4eg4V7AM7SfRja/BCBNiXtc7vKpt3k8+jxADi0i6TN7WMW+e/28f4nC/cAnLHW87AKQ1tm6uvEwj0A5+ybj922cA/A+frmyWcL9wCcLwv1AFC4wQ2AQhgAKIQBgEIYACj+L2PeiJQPA7NbAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDI1LTAzLTExVDE1OjA0OjU4KzAwOjAwP0n/VQAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyNS0wMy0xMVQxNTowNDo1OCswMDowME4UR+kAAAAodEVYdGRhdGU6dGltZXN0YW1wADIwMjUtMDMtMTFUMTU6MDQ6NTgrMDA6MDAZAWY2AAAAE3RFWHRwZGY6VmVyc2lvbgBQREYtMS41UzZawQAAAEp0RVh0c2lnbmF0dXJlADhjY2NkZjlmNDgzNTgyY2RmNTQ2Y2VlZTZlZTU0ZmMyN2RiMjcxZDU1Mzc5YmEyMWUwMzIzNzdhYTY3ZWVkYznjE3Z5AAAAAElFTkSuQmCC",
      "text/plain": [
       "<wand.image.Image: 8cccdf9 'PDF' (780x1715)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "unicodepdf:\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd0AAAAJBAMAAACFy+vQAAAAIGNIUk0AAHomAACAhAAA+gAAAIDoAAB1MAAA6mAAADqYAAAXcJy6UTwAAAAtUExURf////8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP///8lqgDQAAAANdFJOUwAiRN2Iu+6qM2bMmXdmrgS+AAAAAWJLR0QAiAUdSAAAAAlwSFlzAAAAZAAAAGQAD5bF3QAAAAd0SU1FB+kDCw8FAvUbz28AAAEBSURBVEjH3ZW9isJAFIVPVNYIXvABVhC2spg3UBCZVki/zRb7Iyw+gIWQXqys7RVMqQiLsI+QkJsNFvdddjQRfICRAT/mMjDVd2DODAB4KqkyRKQjAwrMznSZr9DDA9KYqVOboUW35I0CPeIhsTYTJTR1LWef+WSrXpcMCJCeKADF52Wmxs3oO3TtZ5nq3wFq91Pk5Y8yL+sBxZUU/j51LWgZWgNqtSnyZqNFkVckNps58SPXgpapyxTqJSnzto8399kT0+3ctaBtnvvvqvtb5q1/3vY3r016Ldd+1vH3qoPifc4qcu2vJj6Onw6u5e7CJe/5/83Qv/ZXSPLQtZh9/gGjPGZDfVeBdwAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyNS0wMy0xMVQxNTowNTowMiswMDowMDwbxUEAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjUtMDMtMTFUMTU6MDU6MDIrMDA6MDBNRn39AAAAKHRFWHRkYXRlOnRpbWVzdGFtcAAyMDI1LTAzLTExVDE1OjA1OjAyKzAwOjAwGlNcIgAAABN0RVh0cGRmOlZlcnNpb24AUERGLTEuNVM2WsEAAABKdEVYdHNpZ25hdHVyZQBkMWY5ZDdlZGVhNGQwMGIwZTA0ODk2ZTgyYTE0YjRlZWFiMjMxYWRkOTg0MWE0MmJiZWYyNTg2NTMwOWM3MGVkxlCitQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<wand.image.Image: d1f9d7e 'PDF' (477x9)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "madgraph:\n",
      "madgraph failed:\n",
      "Traceback (most recent call last):\n",
      "  File \"/home/apn/git/pyfeyn2/pyfeyn2/render/all.py\", line 113, in render\n",
      "    render(fd).render(dirpath + \"/\" + name + \".pdf\", **dynarg)\n",
      "    ~~~~~~^^^^\n",
      "  File \"/home/apn/git/pyfeyn2/pyfeyn2/render/ps/madgraph.py\", line 77, in __init__\n",
      "    self.set_feynman_diagram(fd)\n",
      "    ~~~~~~~~~~~~~~~~~~~~~~~~^^^^\n",
      "  File \"/home/apn/git/pyfeyn2/pyfeyn2/render/ps/madgraph.py\", line 131, in set_feynman_diagram\n",
      "    self.set_src(feynman_to_ps(fd))\n",
      "                 ~~~~~~~~~~~~~^^^^\n",
      "  File \"/home/apn/git/pyfeyn2/pyfeyn2/render/ps/madgraph.py\", line 47, in feynman_to_ps\n",
      "    line = type_map[style.getProperty(\"line\").value]\n",
      "           ~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n",
      "KeyError: 'boson'\n",
      "\n"
     ]
    }
   ],
   "source": [
    "fd = t2t.s_channel(\"e-\",\"e+\",\"gamma\",\"W+\",\"W-\")\n",
    "l1 = fd.legs[2]\n",
    "l2 = fd.legs[3]\n",
    "fd.emission(l1,\"c_bar\",end=\"s\")\n",
    "ar = AllRender(auto_default(fd))\n",
    "ar.render()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "64e4b069-d5f8-496f-86d2-c8a616fcd3bf",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tikz:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: 1249b34 'PDF' (372x371)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pyx:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: 8c1d87d 'PDF' (741x741)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynmp:\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<wand.image.Image: 6c87d78 'PDF' (180x111)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynman:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dot:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: 6dcf693 'PDF' (1059x992)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mermaid:\n"
     ]
    },
    {
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      "text/plain": [
       "<IPython.core.display.SVG object>"
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     },
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    },
    {
     "name": "stdout",
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     "text": [
      "asciipdf:\n"
     ]
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     "data": {
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",
      "text/plain": [
       "<wand.image.Image: c9dafb7 'PDF' (780x1516)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "unicodepdf:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: d1f9d7e 'PDF' (477x9)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "madgraph:\n",
      "madgraph failed:\n",
      "Traceback (most recent call last):\n",
      "  File \"/home/apn/git/pyfeyn2/pyfeyn2/render/all.py\", line 113, in render\n",
      "    render(fd).render(dirpath + \"/\" + name + \".pdf\", **dynarg)\n",
      "    ~~~~~~^^^^\n",
      "  File \"/home/apn/git/pyfeyn2/pyfeyn2/render/ps/madgraph.py\", line 77, in __init__\n",
      "    self.set_feynman_diagram(fd)\n",
      "    ~~~~~~~~~~~~~~~~~~~~~~~~^^^^\n",
      "  File \"/home/apn/git/pyfeyn2/pyfeyn2/render/ps/madgraph.py\", line 131, in set_feynman_diagram\n",
      "    self.set_src(feynman_to_ps(fd))\n",
      "                 ~~~~~~~~~~~~~^^^^\n",
      "  File \"/home/apn/git/pyfeyn2/pyfeyn2/render/ps/madgraph.py\", line 47, in feynman_to_ps\n",
      "    line = type_map[style.getProperty(\"line\").value]\n",
      "           ~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n",
      "KeyError: 'boson'\n",
      "\n"
     ]
    }
   ],
   "source": [
    "fd = t2t.s_channel(\"e-\",\"e+\",\"gamma\",\"W-\",\"W+\")\n",
    "l1 = fd.legs[2]\n",
    "l2 = fd.legs[3]\n",
    "fd.decay(l1,\"c_bar\",\"s\")\n",
    "fd.decay(l2,\"nu_mu\",\"mu+\")\n",
    "ar = AllRender(auto_default(fd))\n",
    "ar.render()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "759d9d77-6d06-416c-b989-8bfbbc907f95",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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