paper_note/lynx/scalability.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "\n",
    "plt.rcParams[\"font.family\"] = \"Times New Roman\"\n",
    "plt.rcParams[\"font.size\"] = 16\n",
    "\n",
    "g_label_fontsize = 16\n",
    "\n",
    "colors = [\n",
    "    \"#5D7599\",\n",
    "    \"#233142\",\n",
    "    \"#F95959\",\n",
    "]\n",
    "\n",
    "edgecolors = [\n",
    "    \"#FFFFFF\",\n",
    "    \"#FFFFFF\",\n",
    "    \"#FFFFFF\",\n",
    "]\n",
    "\n",
    "hatches = [\"\\\\\\\\\", \"\", \"\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 2100x840 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(\n",
    "    figsize=(7, 14 / 5), ncols=1, nrows=1, constrained_layout=True, dpi=300\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "labels_name_a = [\n",
    "    \"1-node\",\n",
    "    \"2-node\",\n",
    "    \"4-node\",\n",
    "    \"8-node\",\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# MFU\n",
    "data_a = {\n",
    "    labels_name_a[0]: [40.1, 55.8, 62.4],\n",
    "    labels_name_a[1]: [39.6, 48.9, 55.2],\n",
    "    labels_name_a[2]: [38.2, 47.9, 54.0],\n",
    "    labels_name_a[3]: [38.1, 47.8, 53.2],\n",
    "}\n",
    "\n",
    "data_pa = []\n",
    "data_pb = []\n",
    "data_pc = []\n",
    "\n",
    "for v in data_a.values():\n",
    "    v[1] = v[0] * 0.82 if v[1] == 0 else v[1]\n",
    "    v[2] = v[0] * 1.2 if v[2] == 0 else v[2]\n",
    "    data_pa.append(v[0])\n",
    "    data_pb.append(v[1])\n",
    "    data_pc.append(v[2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "legend_labels = [\"Megatron-LM\", \"XLA\", \"DLRover-Lynx\"]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "bar_width = 0.2\n",
    "group_spaing = 0.15\n",
    "\n",
    "group_positions = {}\n",
    "current_pos = 0\n",
    "\n",
    "x_label_cnt = len(data_a.keys())\n",
    "x_label_group_cnt = 3\n",
    "\n",
    "for idx in range(x_label_cnt):\n",
    "    group_positions[idx] = []\n",
    "    for _ in range(x_label_group_cnt):\n",
    "        group_positions[idx].append(current_pos)\n",
    "        current_pos += bar_width\n",
    "    current_pos += group_spaing\n",
    "\n",
    "group_centers = {}\n",
    "for idx, positions in group_positions.items():\n",
    "    group_centers[idx] = sum(positions) / len(positions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(13.333333333333346, 0.5, 'MFU (%)')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "label_set = set()\n",
    "\n",
    "x_a = []\n",
    "x_b = []\n",
    "x_c = []\n",
    "\n",
    "for idx, (x_label, y_data) in enumerate(data_a.items()):\n",
    "    positions = group_positions[idx]\n",
    "    x_a.append(positions[0])\n",
    "    x_b.append(positions[1])\n",
    "    x_c.append(positions[2])\n",
    "\n",
    "    for i, (pos, value, color, edgecolor, hatch, label) in enumerate(\n",
    "        zip(\n",
    "            positions,\n",
    "            y_data,\n",
    "            colors,\n",
    "            edgecolors,\n",
    "            hatches,\n",
    "            legend_labels,\n",
    "        )\n",
    "    ):\n",
    "        if label in label_set:\n",
    "            local_label = None\n",
    "        else:\n",
    "            local_label = label\n",
    "            label_set.add(local_label)\n",
    "\n",
    "        ax.bar(\n",
    "            pos,\n",
    "            value,\n",
    "            width=bar_width,\n",
    "            color=color,\n",
    "            label=local_label,\n",
    "            hatch=hatch,\n",
    "            edgecolor=edgecolor,\n",
    "        )\n",
    "\n",
    "ax.set_xticks(list(group_centers.values()))\n",
    "ax.set_xticklabels(list(data_a.keys()))\n",
    "\n",
    "ax.set_ylim(0, 100)\n",
    "ax.set_yticks([0, 50, 100])\n",
    "ax.set_yticklabels([\"0\", \"50\", \"100\"], rotation=90, ha=\"center\", va=\"center\")\n",
    "\n",
    "ax.plot(x_a, data_pa, color=colors[0], marker=\"x\", linestyle=\"--\", alpha=0.68)\n",
    "ax.plot(x_b, data_pb, color=colors[1], marker=\"v\", linestyle=\"--\", alpha=0.68)\n",
    "ax.plot(x_c, data_pc, color=colors[2], marker=\"^\", linestyle=\"--\", alpha=0.68)\n",
    "\n",
    "\n",
    "ax.tick_params(axis=\"x\", bottom=False, labelsize=g_label_fontsize, pad=1)\n",
    "ax.tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n",
    "ax.set_ylabel(\"MFU (%)\", fontsize=g_label_fontsize)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fa44616f2c0>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig.legend(\n",
    "    ncol=3,\n",
    "    loc=\"upper center\",\n",
    "    frameon=False,\n",
    "    shadow=False,\n",
    "    bbox_to_anchor=(0.5, 0.97),\n",
    "    fontsize=g_label_fontsize,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XLm3dutXVYcCF0qdPb1oX9b3HlXgPBIC0qWHDhhoxYoRp/SeffBLvWbfeffddHT16VJLUtGlTjRo1Kl7tRJUSPlPjatKkSTHODDJr1iw9evQoCSMCgLQpps8YZ3Bzc9O0adPUvXt3u/WPHj1S69atdfHixTi3nRI+H535/ObLl089evQwrf/xxx+ddizAEWZ/38nl9QcAiYXECrhUcHBwgqdaTQ5Sy818ziNtiToq+p133lHmzJlttnn8+LF++OGHRI1jypQpCgwMlCS98cYbputwImUIDw/XRx995Oow4GJubuZfMc1GCSc13gMBIO0aOHCgaSKbn5+f3nnnnTi3OWnSJM2ZM0fSkymQFyxYEOPnoaNSwmdqXAQGBmr27NkxbnP37l0tWrQoaQICgDTMbLY8Zx9j6tSpqlevnt16f39/vfXWW4qIiIhTuynh89HZz2+rVq1M6y5cuKATJ0449XhATMxeg8nl9QcAiYXECrjU1atXk+RLfFJILTfzOY+0KXPmzOrdu7fdup9//ln3799PlOOGhIREW1954MCBiXIcJJ3vvvtOu3btcnUYQJzwHggAaYvFYpGvr69y5Mhht/7PP/+Ur6+vw+3t3LnTmliaPn16LV26lGmQTcyZM0cPHjyQ9GRWjypVqtjdbsqUKUkZFgAgEXl6emru3LnKkiWL3fpt27Zp/PjxSRxVylO7du0Y6/fu3ZtEkQAAkHaRWAGX2rZtm6tDcKrUcjOf80ibPvzwQ3l6etqUBwQEaPLkyYlyzLlz5+rmzZuSnkzFX65cuUQ5DpLGzp07NXz4cFeHAcQL74EAkLbkz59fkyZNMq3v37+/rl69Gms7N27cUNu2bRUWFiZJmjBhgipXruy0OFObqM/5+++/r/fee8/udrt379aBAweSKiwAQCIrVKiQvvnmG9P6b7/9VgEBAUkYUcqTIUMGuzMtRrp161YSRgMAQNpEYgVc5ujRo/riiy9cHYbTpZab+ZxH2lOwYEG98cYbdusmTJjg9HWODcOINsX+oEGDnNo+ktbx48fVokUL600FIKXhPRAA0p4OHTqoXbt2duv8/PxMZzOK9PjxY7Vv317Xrl2TJL399tvq2bOn0+NMLTZv3qxjx45JkooXL67mzZurY8eOyp49u93tY0p8AQCkPL1791bRokXt1t25cyfabH6wz9vb27QuPDw8CSMBACBtYsGjVGbfvn3JtvMhIiJCoaGh8vf319WrV3X06FGFh4enmqVAolq77YikJzfvo4r8PbI+uUsL5+GVjrfBqAYOHGhdGzqqmzdvytfXN17rTZtZtWqVdf3HF154QQ0aNHBa20hap06dUpMmTXTv3j1XhwIkCO+BAJD2TJ48Wdu2bbPOIBTV6tWrNWvWLL399tt29x0wYIC2b98uSapYsWKizXCUWkS9Yfbee+/JYrEoffr06t69u8aMGWOz/YIFCzR27FjTqeMBAClLunTp1K9fP9MlEH/88UcNGjRIHh701dkTERGh27dvm9bnzp07CaMBACBt4ltKKhMQEKDZs2cn+2QFwzBcHUKiSwtJCVHrkzuz82jTpKorwkm2ypcvr2bNmmnt2rU2dWPGjFGvXr3k5uacyY6idp6aXVQnhtu3b2vp0qXatGmTjhw5omvXrik4OFjZs2dX7ty5VaVKFTVv3lyvvPJKjCMB4urvv//WunXrtGXLFl2+fFl37txRaGiosmbNqoIFC6py5cpq3LixXn31VWXIkMFpx5WerLO5cuVK7dmzR6dOnZKfn5/8/f2VPn16ZcmSRcWLF1flypXVrFkzNW7cOE7/x+vWrVOnTp109+5du/WXLl3Sjh077NaVLFkyxgv/PXv2yNfXVwsXLtS9e/dsPjsCAwM1ceJEzZs3T//99598fHz00ksv6ZtvvlGJEiUcPgdJOnv2rBYvXqx//vlHR44c0Z07dxQSEqJMmTKpaNGiqlChgho3bqyWLVsqU6ZMcWrbntDQUC1dulRTp07V9u3bNXToUA0bNsxmu0ePHmnRokVavHix9u7dq3v37ilr1qyqVKmSOnXqpM6dO8vd3T3B8eCJtPAeCACILmfOnJo2bZpat25tt/6jjz5S48aNVbBgwWjl8+fPt64HnzVrVi1btkzp06dP7HBTrMuXL+uPP/6QJPn4+ERLVunTp4/Gjh1r810vKChIs2fP1ocffpiksQIAEk/Xrl31+eef253t8vbt29q0aZOaNGnigsiSv7Nnz8Y4K0X58s6fmffIkSNasmSJdu3apePHj+vevXsKDw9X5syZ9eyzz6pixYpq2rSpXnnlFXl5eTnc7tmzZ+M142mxYsXsLuEZ6c6dO7pz506s7RQuXDhOfX579+7Vb7/9pr///lunT5+29oHlzp1bBQsWVMOGDdWiRQtVr17d4TafduHCBc2dO1dz5szRmTNntHnzZtWvX99abxiGFi5cqKlTp2r//v0yDENVqlTR4MGD1bhx43gfN6UpWrSoLl68GOf9YrsfdeHCBT3zzDOxttO1a1fNnj3btH7Lli2aOnWqVqxYoZo1a2rLli12t9uwYYN8fX21Y8cOXb9+XenTp1fp0qXVqlUr9e3bV1mzZo01FgCuQWJFKlOvXj1VqVJFe/fudXUosbJYLKk+wSK1JyWklvNAdIMGDbJ7U/HMmTNavny52rZtm+Bj7Nu3T1u3bpX05Aux2RTMznT9+nUNHTpUs2fPtnvxduvWLd26dUtHjx7V7NmzlTdvXg0dOlS9evVK0I3rNWvWaOjQofr333+tZT4+PsqVK5fu3LljPe7+/fv1888/K1OmTOrfv78GDhwY49qZjti+fbs+/vhj08+EwMBABQYG6tq1a9q2bZt++uknPfvss/r222/VsWPHGNu+ePGihg8frtmzZ8f4Xj5r1izNmjXLtK5bt27Ryq5cuaJff/1Vvr6+OnnypGm7Bw8eVNu2bXX27FlrWUhIiBYvXqx169Zpx44dKleuXIznIEk7d+7U0KFDtWHDBrv19+/f1/3793XgwAH5+vrKx8dHvXr10pdffqls2bLF2v7Tzp49q2nTpmnWrFmxXuwvW7ZMH3/8sS5duhSt/M6dO9qwYYM2bNig8ePH6/fff7e52YP4S63vgQAAc61atVKXLl00d+5cm7oHDx6oV69eWrNmjbXsyJEj6tWrl6Qn17Vz5szRs88+m2TxpkRTpkyx3gx66623os1C8eyzz6pp06Z2P3+nTp1KYgUApCI5c+ZU7dq1TW82Ll68mMQKE7/99ptpXa5cuVS5cmWnHWvNmjUaNmyY9uzZY7c+MoFhz549mj59unLkyKH+/ftrwIABDg0Weumll+J1c/z8+fOmy8lI0sSJEzV8+PBY23k6acHMX3/9pS+++CJan15Uly5d0qVLl/TPP//om2++UYMGDfT999+rSpUqsbYtSQ8fPtTSpUvl6+urbdu2mfav3bt3Tx07drTpu9q6dau2bdum2bNn66233nLomCndtm3btGzZMo0dO1ZXr1413c7d3V0jRoxQp06dlD9//ljbLVq0qIKDg3Xx4kUNHjxYy5Yti1Zfp04dDR8+3G7yzP379+Xr66tp06bF2JcpSYcOHVLfvn31zz//RCsPDQ3Vnj17tGfPHv30009asmSJ6tWrF2vMzngdDRs2zKHXTWxJJUBa4Zwhd0hWIt8ELRZLsn6kFWu3HdH8P3falL/Zoqaa1XV+JnFiSe3ngf/TsGFD04ux0aNHO+UYUdv56KOPEn3E/eLFi/Xcc89pxowZMgxD7dq10y+//KINGzZo5cqV+vLLL1WoUKFo+9y4cUN9+vTRq6++qocPH8b5mGFhYfrggw/UvHlz6wVYtWrVtHnzZj148EDnzp3TgwcPtGPHjmhflB8+fKivv/5aWbJkMX3/9PDwUPPmzWM8/v/+9z/Vr1/fmlTh5uamjh07at68edq0aZNWrFihzz//XHny5Im237lz5/TGG2/of//7X4ztDx06VLNmzXJKglxQUJB+/fVXNW7cWEWKFNHnn38e44XIrl27VK9evWhJFVE9ePBAn3/+eazH7NOnj2rVqmW9MC1RooSGDx+uVatWae3atZo+fbpef/31aKMhAgIC9OOPP6pUqVJavXq1Q+f3+PFjrVixQk2bNlWJEiU0evToGJMqQkND1aNHD7Vt29YmqeJp+/fvV5MmTeL1Nwr7UuN7IAAgduPHj1eBAgXs1q1du1YzZ86UJPn5+em1115TUFCQJOmzzz7Tq6++mmRxpkQhISGaMWOG9fd+/frZbPPee+/Z3ffkyZPauHFjosUGAEh6zZo1M62LmsiI/xMaGhrts/Rpffv2dUp/+927d9WmTRs1b97cmlRRsWJFff/991q7dq1WrVqlSZMmqUmTJtFmc7x7966+/PJLlStXTrt37471OPv379eqVav0yiuvxLrtJ598oqtXr8owjBiTKqQnN4hDQkL033//qWXLltHqcubMqVmzZunq1aux3rB+9OiRevToocaNG+vff/9V/vz5NXDgQOsMuL/++qs6d+6sdOnSRdtv8+bNqlmzpqZOnWradkREhDZs2KAuXboob9686t69u7Zu3Wrav3bnzh3VqVPHdECQYRjq379/vGYASYkKFy6sjz76SAcPHlSpUqVMt+vdu7c++eQTFShQwOHXRvr06VWqVCmNHDkyWnmdOnX0119/qUGDBtFmOtm9e7fefvttFShQQB999FGsSRWTJk1StWrVbJIqnnb79m01b95chw4dinG7o0eP6vDhwxo+fLhy5MgR47Zubm6aPn267t27Z/M6+vLLL3Xq1Ck1bdrUZr/MmTNr6NChOnnypKZPnx7jMYC0gsSKVOjll19WjRo1rB/GZh/KhmG45JEWpfakhNRyHvg/gwYNslu+Z88e01EFjrpw4YKWLl0qScqWLZt69OiRoPZiM2LECHXo0EF+fn6qVq2ajh07psWLF+vtt99Wo0aN1KJFC3311Vc6ffq0+vfvb7P/mjVrVKdOHQUEBDh8zMePH6tly5bR1pF+7bXXtGPHDtWvX9968WmxWFS7dm1t3rzZdO1ue8LDw02z5aUn631/++23ioiIkPRkHdPff/9dCxYs0JtvvqkGDRqodevWGjFihE6fPm33i/O3336rlStXmh4jcqaKqI8iRYrYbDd06FDTz4Nu3brp6NGjypMnj7p06aK//vrLGrOZc+fO6dVXX5W/v3+M250/f9607u7du6pTp471QjddunQaN26cTpw4oSFDhqh58+Zq2rSpevXqpWXLlunEiRM2Gem3b99WixYtNHHixBjjGD9+vIoUKaLXX39d69evj/Vz8MGDB2rUqJF++eWXGLeLKjJuOE9qeg8EADgma9as+vnnn03rP/74Y128eFGdO3e2Jnc2bNhQX3/9dVKFmGItXLjQmlTaqFEjlSlTxmab5s2bm94smTJlSmKGBwBIYjGN5r927Zpu376dhNGkDKNGjdLp06ft1uXOndtuf1ZcnT9/XlWqVNHy5cslPbmhOn/+fB04cECDBg1S06ZN1bx5c/Xt21fr1q3Tv//+a3Nj+9y5c6pXr561DTPZs2dX8+bN9eeff+rHH3803e6FF17QqFGjHJpxIFK6dOlUokQJjRs3zlrm4eGhlStXqlu3bsqfP3+MN9r9/PxUr149/fLLL7JYLPrss8905swZjR49Wm3atFGDBg3UqVMnzZ07V8eOHbNZguXx48fq06eP3e+IERERKlGihJo0aaJff/3VmqhrJjQ0VK+++qqOHz8e43b379/XgwcPYtwmtcmZM6eWLl1qugTNc889F++2ow5e8vDwkK+vb7Qkmr/++kuVKlVSjRo1NHv2bAUHB8fYXmTyS79+/RQaGupQDEFBQerRo0eM/aQ+Pj4qX768hgwZosOHD6ts2bKm2z7//PPq1auX3dl33d3dVbJkSX3zzTfRyvPly6d//vlHw4YNU6lSpWwSiYC0isSKVOqrr76y/hz5RSHyZk7u3LlVunRpVa5cWbVq1dKLL76oevXqJfqjdu3aqlatmkqXLq3MmTOnuSSL1J6UkFrOA0+0a9fO7k1ySfr+++8T1PaPP/5onQa4T58+ypgxY4Lai8nEiRM1ePBgSVLTpk21bds2lSxZ0u62Xl5e+vHHH+2e36FDh9S9e3eHj/vOO+9Em8q4YMGC8vX1NV0H0mKxaNq0aaZLV3h5eUV7eHt7q2ZN+0va/Pbbb/rhhx+ilX366adq0aKF3e0zZcqkxYsXK2/evDZ1X3zxhd19nKlkyZJatGiRbt++rYCAgGjJKE8LCwtThw4dFBwcrMWLF+v+/fsaMWKE3S/2derUsdvGw4cP1bBhQ+3fv1/Sk+d+wYIF+uCDD0xnDShWrJi2bdumhg0bRis3DEPvv/9+jKNGLBaLOnbsqNmzZ2vkyJExLu/y8OFDNWvWTNu3b1e2bNn0ySefaOfOnfL391dQUJD27dunzp072913ypQpdD45UWp5DwQAxE2zZs2sS3w8zd/fX1WrVtWqVaskSQUKFNDChQuZdcgBkyZNsv78/vvv293Gzc1N7777rt2633//XdeuXUuU2AAASa9ixYox1h88eDBJ4kgpFi5cqGHDhtmtc3Nz06+//qqsWbMm6BhXr15V3bp1deHCBUlP+qHWrl2rN954w3SfypUra9euXTZ9WSEhIerQoYPDs4/0799fnTp1sluXkKXWbty4Yf35vffeU40aNWLdJywsTC+//LJ1to5ffvlFI0eONF3epHjx4vr777/ttj106FCbAUtubm6aNm2aLl26pODgYG3cuDHGZWYHDRqkXbt26csvv5Sfn5+WLFmifPny2WxXunRp5cyZM9bzS23KlStn+tqILRklJlGXVG7VqpWeeeaZaPVeXl6qUKGCpk+frmnTpsU4c4b0ZLa2cePGycPDQ507d9aaNWt0+/ZthYSE6MyZMxo+fLjdvs19+/bpzz//dCjm/Pnza+3atXb/PqQny9aEhITE2EbUpX+yZMmi9evXx5isAaRVHq4OAImjUaNGqlOnjrZv3y5JypEjhyZMmKCWLVtGm67IldauXasOHTrEaRR4Srd22xFJT5IQoor8PbI+uUtN5+GVzkNtmlR1dSjJjru7uz766CPTGRyOHj1qmgQQk/v371tH4nt5eZl2rDrDgQMHNGDAAElP1pxbvHixaRZzVAMHDtSaNWu0efPmaOVLlizRwoUL1bFjxxj3X716tc1sA3379lWmTJli3M/T01Pjx4+3uXlvsVi0du1ah9Z+lJ5Mkfi0tm3bxrhP5syZ1bt372hJedKTKeXOnj2rYsWKOXTs+EiXLl20ZU369eun33//XX/99ZfNtiNHjtSBAwe0du1aNWrUSJL0+eefW2+C7Nu3T5JUv359m2n7IvXq1UuHDx+2/t6zZ0+9/vrrDsW5YsUKVaxY0WY2jD59+qh8+fJ2L6Sf/hv38fGx+3cfFham119/Xbt27VLPnj01evRom46RypUra+7cucqcObMmT54crS4kJERz5syx/s0jYVLDeyAAIH7Gjh2r9evX212vODKJ0dPTU0uWLFGuXLmSOrwUZ/fu3daZ1p555hnTZF9J6tGjh4YOHWrT6fv48WNNnz7dtOMcAJCy5MiRQxkzZlRgYKDd+pMnT6px48ZJHFXyExERofHjx2vQoEF2R617eHhoxowZCX6uHj9+rA4dOujKlSvWsiFDhpgO6Ikqa9asWrNmjcqVKxdtxoTHjx+rffv2Onz4sM1NaXtGjBihRYsW6fHjx9HKz507F4cziS5y+VZPT099+umnDu0zePBg7dq1S9KT2cq6desW6z6ZMmXS7NmzVbFiRT169MhabhiG3n77bV24cEE+Pj7W8sj+LOnJ7GcDBgywuxzv1q1bNWHCBA0ZMsS69Hvbtm1Vr1499evXT0uWLLEuj7JgwQKHzi81GjBggGbOnKkzZ85EK//99981ceLEaEvWOCpyllHpyZIiT6tTp060AV21atWymbkk0rBhwzR58mTVrl1bM2fOtEnCKFasmIYMGaIyZcqoffv2NvvPmDHDZlkbMwULFtSiRYvUoEED64CeSHfv3tW4cePs9htLT5Y+juxLdXNz04IFC+LV7wWkBcxYkYpF3iCzWCz64Ycf1LFjx2STVCE9GQ309PRCaUFqn/EhpZ3Hpp0nXB1CstWjRw/TrOn4jtieOnWqNZkqci3BxPDo0SO98cYb1unVvv322xhnCojKYrFo6NChduu+/fbbGGfbMQzD7o3tmDqQo2rQoIHNF+zIWREcsX//frtTQzpy7lGTG6JKSIZ3fFWrVs1u+YgRIzRkyJBoF6GSVKlSJe3du1cnTpzQ6dOntXnzZrujNRYuXKhFixZZf0+XLl2cOugzZ85sMxuI9GRplu7du8ea+S3JdA32iRMnauvWrZozZ45mzJgR42iTr7/+2u5oCXvJKIi/lPweCACIv0yZMlmnfjYzdOhQh242QNFmI3vvvfdi7NzOmTOn3Q5l6Umn8tM3WwAAKVeBAgVM6+7fv5+EkSQ/ERERWrdunerWrauPPvrI7udf/vz5rUtbJNSYMWP0999/W3/PlSuXPvroI4f3L1iwoN2+lYCAAPXs2dOhWasLFy6sdu3a2ZTv378/WsJHXCxcuFCS1KZNG9NR/FFt2rRJY8aMkfQk+cesb9CeUqVK2R2Idffu3ViXNDPrAxs5cqQaNmxo89zmypVLixYt0pUrV3T48GH9999/sc4Ck5p5enrqyy+/tCm/du2afv/99zi3d+HCBWv/WtGiRR1KXCpXrpzdJe3279+v4cOHq1+/ftqyZUuMM1u0a9fOZhliSdq8eXOsyyZHVadOHdMZiIcNG2Zd0vBp//vf/6yvtWHDhunll192+JhAWkNiRSpWr14968jn5DplT9OmTV0dgkuklqSE1HIesM/Hx0d9+vSxW7dw4UJdvnw5Tu2FhoZaO1YtFkuijqyfN2+eTp06JUnKli2b3YuzmFSrVs1uZ/rRo0e1detW0/327t2rkydPRivz9PS0u460GXudyUePHo12kWvG7MtxTDcGIpnFGHXqxKSSPXt2u+XFixfX559/brpf6dKlVbx4cbt1wcHBNiMUWrRoEad1OiWpdevWatKkiU35iRMnNGLEiFj3L1SokN0bCsHBwVq+fLm6dOkSaxvZs2e3O4PJ0aNHY90XjkvJ74EAgIRp2LCh3nvvPdP6DRs2pLmlLePj1q1bWrJkiSTJ29tbPXr0iHWfvn372i2Pb+c4ACB5imlWz6gzH6RmERERevDggS5fvqx9+/Zp5syZ6tu3r5555hk1a9bMbj9QpkyZNGDAAJ04cULNmjVLcAw3btyw6cvo0qWL6dIXZvr162f3/sOmTZs0e/Zsh9qw993LMAzNmTMnTrFIT25GRw48Mltq7GlDhw61fr/r2LGjwwO0Itm7KS5FXxLNHrM+MIvFounTp5v26eXPn1/ly5c3XXY4LXnjjTdUqFAhm/LRo0fHua2ZM2da/w569uzpUJ+qJLvLyT58+FCff/65JkyYIA+P2BcPsDejbmBgoM3MubEZMmSIXnjhBZvy4OBgvfPOOzblW7du1fjx4yU9uQ6KXFYbgH0kVqRyX331lQzDsLnRl1zElJ2c2qWWpITUch6w7/3337e7fEZYWJh+/PHHOLU1b948Xb9+XdKTG9qlS5d2Soz2jBs3zvpz48aN43yRkSFDBtMZA2KaFcDeundZsmRx6MtzpCpVqtgtf3ppEnvMLvocmaY6c+bM0aYmjOSKDg2zC/gxY8bE+4Jx5syZunTpUrSyVq1axasts2nzJkyYYDqVaSQ3NzdlzJjRpvzDDz90eGYTyf4F+/Xr1+OUxY7YpdT3QABAwo0aNco0YXPr1q2xdpJDmj59unUGuS5duji0/nuNGjVUqVIlu3VPL4UGAEi5Yrpx7+/vn4SRJD1fX19ZLBa5u7sra9asKly4sKpUqaKePXtqypQpNn0X6dKlU/369TVx4kRdvXpVY8aMifNNfzNjxozRw4cPo5XFp6/Ew8PDdJaL77//3qGE1Nq1a+v555+3KZ8+fXqc+zqmTZsm6ckgonr16sW6/f79+7Vjxw7r76+88kqcjifJdODOxYsXbZapiMrstfDhhx/q2WefjXMcaZGnp6c+/vhjm/KdO3fGOEDuaeHh4dblWz08PNS9e3eH97X3mqxSpYpDg7AimSXnxHXWFg8PD82ePVvp0qWzqdu4caN+/fVX6+/+/v7q2rWrDMNQzpw59euvv8Zr+RQgLeEVksrVqlVLTZo0sY4SSW4yZsyYpkf6pJakhNRyHrCVN29e0xH0M2bMkJ+fn8NtjR071vrzoEGDEhqaqR07dujIkSPW3+O7Hpy9m9+StG3bNtN97K39aO+mbEzM4j127Fis+9aoUcNm6YIaNWo4vAyUvXOO7AxPSmbJE/EdjWEYRrRpqCPVqFEjXu01aNDAbmLg/fv35evrG+v+9i6azf7ezNibYjA8PDxOr0nELiW+BwIAnMPb21v9+vUzrf/ss8/iPHosLXn8+LGmTp1q/T2m5/JpZrOFbNq0yTorHQAgZYvpRnlcBqekdmXKlNHdu3e1efNmvffeezHO9BFXgYGBmjlzZrQyd3d30wE/sWnbtq3Sp09vU37y5EmtWbPGoTbszRp58eJFuwOZzNy+fVsrVqyQJLuj8+15OnkzPn2JMfXrxNSX6Ow+sLSqV69edmf/GDlypMNtrFq1SteuXZP0ZECMI0vIREqsvj7pyZIycVWuXDnT5Y8HDhxoHUj3/vvv6+LFi5KkWbNmxemcgbSKxIo04KuvvtLff/+toKAgV4dil6+vrwoWLOjqMFwmtSQlpJbzgK0BAwbYnfYsICDA4VFja9assSYGVK9eXXXq1HFqjFFt3Lgx2u9DhgyRxWKJ88MsG/jq1aumx75165ZN2dOZ/7ExG8nnyBqjWbJk0YIFC6xfgitWrGjNtHaEvQvgsLAwh/d3Fnd3d6e2t2PHDv3333/Ryjw8PExHocbGzc1NnTp1slu3aNGiWPd3xjSNOXLksFv+6NGjBLeN6FLaeyAAwDnOnj1r2hkpPbkZ0aNHjzQ9UCAmK1assH5vbtCgQZxuULzxxhum34mZtQIAUofg4GDTOkcHh6RUuXLl0o4dO7R9+3bro0OHDna3PXHiRLyWwnDE8uXLbQYLFC5cON7Pf5YsWdSyZUu7dY70lUhS586d7Y78nzJlisNxzJ49W6GhocqQIYO6du3q0D5P9yUWLlw4zv2IjRo1Mm0/pr5EZ/eBpVUZM2a0m8i7bt06HTx40KE2ZsyYYf25d+/ecTp+cuzr++STT1S1alWb8ps3b+qLL77Q0qVLre8v77//fpxm0gXSMhIr0oBq1arp8uXLyfZLaZcuXZw2fVlKlVqSElLLeSC60qVL69VXX7VbN378eIe+3I0ZM8b688CBA50Wmz3//PNPorZ/584d0zp7U6w9fPhQjx8/drh9s/dDR9e3bNq0qa5du6aAgAAdOHBAZcqUiXWfgIAAzZ49W/fu3bOpc8XNAkfXL3SUvfW48+XLl6Cp7erXr2+3fPfu3bG+Jpxx0Wz29+CKRJjULqW9BwIAEi4oKEivv/669WaDveRT6clSbXHp6E9LJk6caP35gw8+iNO+3t7eevvtt+3WzZkzJ9kOGgEAOC6m2f/y5MmTdIG4QLp06VS7dm29+OKL1sf06dP1zDPP2N1+0KBBiTJjk72+koQOfjTrK3F0OYaMGTPaTYZYt26d3Vlin2YYhvXmeIcOHRxahuz69eu6cOGCQ/HFV0x9ic7uA0vL3n//fbv3wByZteLKlSvWmVWKFCmipk2bxunYybGvz93dXb6+vnZnU546dap69uwpSapQoYJGjx4dr2MAaRHzaqURcZ2KHklv7bYnSxe82aJmtPLI3yPrk7vUch6IbtCgQfrjjz9sym/evClfX98Yp9bbv3+/Nm3aJEkqVqyYXn/99USL0zAM7dq1K1rZoEGDTDPm4yOmCx57F8GGYejYsWN214m0x2zUhr2lJ2LiyHRzu3bt0owZM7R48WIFBATEqf3E5OyLysi/v6gSOn2m2drfISEh+vfffxN9RgKzCzZGzSaOlPIeCABwjt69e+vw4cOSpDfffFNt2rRRmzZt7G776aefqnnz5qZT96ZFR44csU55XaRIEdMExZj06dNHP/30k813Gz8/P82fP9/aEQwASHkMw4hxBH+RIkWSMJrkIXPmzJo3b57q1q1rMzgnKChInTt31s6dO526TEpS9pVcvHhRly9fVqFChWJto2/fvjbLuRqGoSlTpsR683fz5s06ffq0JPvLitizc6ftIMHNmzc79bnOmzevaR2JFc6TM2dO9ejRw+bvZ+nSpTpz5kyMM9f+8ssvCg8PlyT16NEjQYOx4isx+vrKlCmjr776Sp9++mm08oiICD148EAZMmTQggULuH8IxAGJFUAyklqSElLLeeD/vPjii6pRo4ZN0oIkjR07Vr169TL9whl1pPbHH3+cqF9M/f395e/vH60sd+7cevHFFxPtmFHVrl3b5su7JO3Zs8fhxAqzLPa6desmKLZIgYGB+vXXXzV58mTrDQMPDw+1adNGmzZtcmjJkZQkLCzMugRDVAm9YMibN6/y5s2rGzdu2NSZLSMTyVUXzVu2bFGDBg0S1EbXrl01e/Zs5wSUgqSU90AAQMJNmDBB8+bNk/RkbeIZM2bI29tb7du31+LFi222DwgIUM+ePbVhwwY6xv+/qN+H+/btG68RfCVKlFDjxo21fv16m7opU6aQWAEAKdjly5cVGhpqWl+6dOkkjCb5qFmzpoYMGaIhQ4bY1O3du1fDhg3TN99845RjXbx40W7/T0L7SipUqCA3NzdFRETY1F25csWhxIrSpUurQYMG2rx5c7TyWbNm6euvvzadSUySpk+fLkmqXLmyqlWr5lDMly9ftikrV66ccubM6dD+yUnRokV18eLFBLWR0gfsDBgwQFOmTImWoBQREaHvv//e+vfxtIiICOtSyu7u7urRo0ecj5ucrwMGDBig5cuXa/fu3TZ17du313PPPeeCqICUi55dIJlJLctppJbzwP8ZNGiQ3fLTp09rxYoVdusuXbqkJUuWSHqSNWw2pa+z2LsofPDgQaIeM6oWLVrYze5fsGCBw21EJjtE5ePjo1deeSVBsd26dUtffPGFChUqpHfffVeHDx9WgQIF9PXXX+vy5ctaunRpqlyW6eLFi3Y7bGJaz9VRpUqVslse0xSPSLlSwnsgACBh/v77bw0YMEDSk5Gjy5Yts04nPHHiROXKlcvufhs3btS0adOSLM7kzM/Pz5qYIj2Z0SOua5RHPuwlVUhPZoOy1zEMAEgZ9u/fb1rn7e2tcuXKJWE0ycsXX3xhOjjou+++c9ryt5GzOjwtoX0l3t7epskTcekr6du3r03Z3bt3tWjRItN9bt++bb02j2lWyae5ui8RzlWkSBF16NDBptzX11fXrl2zu8+6deusCSmvvPKK8ufPn6gxJrXIJUHsJSXNnz9fhw4dckFUQMpFYgWQDKWWpITUch54onXr1qZTpplNxffTTz9ZM4T79u1rulacs9i7GLp9+3aiHjOqjBkz6uOPP7Yp37Jli44ccWymFntrXA4ePNihpT3suXv3rgYMGKCiRYtq5MiRun//vp5//nnNmzdPFy5c0P/+978YpyRM6czWbXXG0idZsmSxW/70rClIHVLCeyAAIP5u3Lihdu3aWdcw/uWXX1SyZElrfa5cuTRx4kTT/QcNGpTgEYKpwS+//KKgoKBEP87kyZMT/RgAgMRhbybASLVr147XTEephbu7u+bNm6esWbPa1IWHh6tLly56+PBhgo+T3PtKWrdubffmdkyf/7Nnz1ZoaKgyZcqkN9980+FjubovEc739LIXkhQaGqoffvjB7vYzZsyw/ty7d+9Ei8uVSpUqpa+++sqmPCwsTF27drVeAwGIHYkVQDKVWpISUst5QHJzc7OO4Hva7t27tXXr1mhlDx480M8//yxJSp8+vfr165foMdrrxD1w4ECiHzeqzz77TOXLR//bNgxDvXr1sjsVYlRnz57VwoULo5VVrVrVbrKGI2bOnKkSJUrohx9+UHBwsPLkyaO5c+fqwIEDevPNN526XmRyZTa9qDOSH8xm+EjomqRInlLCeyAAIH7CwsLUrl07Xb9+XZI0cOBAtWnTxma79u3b2y2XntyIiM+0walJRESE9YaHxWLRb7/9pu3btyfo8d5779k91uLFi3X37t2kPD0AgJOsWrXKtK5Vq1ZJGEnyVLhwYU2dOtVu3blz5/Thhx8m+BjJva/Ew8PD7g3uPXv22J3xxDAM6zIPnTt3lo+Pj8PHSg59iXCu8uXLq3nz5jbl06ZNs0mkuXHjhlauXClJKlSokF5++eUkidEVzAb9HTp0yGnLDAFpAYkVQDKWWpISUst5QOratavpFMjff/99tN+nTZtmzaLv1q2b6X7OZO/i7dChQzGu3els6dOn18qVK1W0aNFo5bt371b37t2jrfEX1e3bt9W2bdto0y6WLFlSq1evVrp06eIUg5+fn1q0aKGePXtaLxiaNWumo0ePqnPnzsl63T9ny5Ytm91yf39/3bt3L0Ftm43CyJEjR4LaRfKV3N8DAQDxM3DgQO3YsUOSVLduXY0cOdJ028mTJ5t+1qf1JUHWrFmjs2fPSpKaNm2qVq1a6cUXX0zQ4/PPP7c7cvnRo0fWtbABACnHyZMndfToUbt1np6epgmMaU2HDh3UtWtXu3WzZs0yXY7SUWZ9JRcuXEhQu5Lz+kp69+5td0DQpEmTbMo2bdqkM2fOSJLefffdOB3HXl/inj174tQGkh97s1YEBATYzEA3e/Zsa19tjx495OaWOm+Zzp07V3PnzpUku9+tR4wYQUIR4KDU+S4BpCKpJSkhtZxHWpchQwbTUddr1qyxXhyHhYVp/Pjxkp6M8o7vjAtxlT17dpuykJCQJF+DuUiRItq5c6caNmwYrdzX11dVq1bVokWLdOvWLYWGhurChQuaMGGCKlSooIMHD1q3bdmypXbu3KmcOXPG6dg3btxQzZo1o40AadOmjVauXBnntlKDmC7cjx8/nqC2zaYnfe655xLUbmKpX7++DMNI0GP27NmuPg2XSu7vgQCAuJs/f771PTtfvnxatGhRjLN65c6dWxMmTDCtHzRokC5duuT0OFOCqB3VzpqpqUCBAmrZsqXdumnTpskwDKccBwCQNGJKQGzTpk2qXqo0riZOnKhixYrZrevdu7d1pq34MOsr8ff315UrV+LdruS8vpJ8+fKpdevWNuULFy60WcokcraKmjVrqkKFCnE6jr2+xO3bt8epjeTiwoULCe73SS3q1q2rGjVq2JSPHz/eOkuJYRjWmUbd3d1T7exzp0+fVt++fSU9mYHv6YFBkvT48WN17do1SQcnAikViRVACpBakhJSy3mkde+99568vb1tyg3D0OjRoyVJCxYs0NWrVyU9mcaxRIkSSRKb2YXhzJkzndJ+cHCwzp8/79C2efPm1caNG23Wrzt48KA6duyoPHnyyMvLS88884w++OAD3bhxQ5L0wgsvaOHChfr999/tXtzFFl/Tpk118uRJa1nRokU1Z86cNLHshz25cuUyHYlx7NixBLUdGBhoU+bl5aUyZcokqF0kzPDhw/X7778nWvvJ+T0QABA3R44cUa9evSQ9mXJ60aJFDt3QeeONN0ynKn/48KF69uzp1Dhd5b333tPOnbbXb/acPn1a69atkyQVK1bMqdMoR3YEP+3s2bPWYwIAkr/bt29bb2I+zc3NTZ999lkSRxQ/cfl8TAgfHx/Nnz/fbn/OnTt31L1793i3XaJECdPZTBOjr6RIkSKmfTMxsbckWFBQULRBH7dv39Zvv/0mSerTp0+cj2FvENLZs2e1ZcuWOLdlz+nTp01nr0Xc7dy503SpuKfZm7Xizp07mjFjhqQnM51Ezrb28ssvq2DBgs4LNJkIDQ1Vx44dFRAQoMKFC2vatGnq37+/ateubbPtkSNHNHz4cBdECaQsJFYgTWtYM+Xc/EotSQmp5TzSshw5cujtt9+2W7dgwQJdvnxZY8aMsZYNGjQoqUJT+vTpVbp0aZvyxYsX26yhFx8LFixQvXr1HN5+8+bN+vHHH5UvXz5t375d8+fP17vvvqumTZuqcuXKqlixoho2bKg33nhDP/30kw4ePKi9e/eqQ4cO8Yrvq6++0uHDh6OVffbZZ3ZvAqcVFovF7sWC9OQCKiHsdRbUq1dP6dOnT1C7iL/bt29r5MiRiTo7S3J+DwQAOM7Pz0+vvfaadcTaqFGjVKdOHYf3nzp1qukNgg0bNlg7bFOqI0eOaMqUKSpUqJBD20+aNMk6yrFPnz5OnUb5pZdeMk1SnDx5stOOAwBIXMOHD1dAQIDduk6dOun5559P4ojiLq6fjwlVrVo1mwE7kdauXWt3WQxHZMuWTWXLlrVblxh9JU2bNo1XW/Xr17c708XUqVOt3ztmzZql0NBQ5ciRQ+3atYvzMSpWrGi33FnLu/Xo0cP0/xBxN2bMGIdnVWjVqpXdfuKxY8cqLCws2vf13r17Oy3G5OSzzz7T/v375e7urnnz5ilr1qxyc3PTrFmzlCFDBpvtv//+e+3du9cFkQIpB4kVSNPaNKmaom7mp5akhNRyHmnZxx9/bHdqv7CwMLVr105HjhyRJNWuXVs1a9ZM0tjsdYgHBwfryy+/TFC7hmFowoQJKleunEPbr1ixQs2aNVNISIg2bNigF198UW+88YamTJmitWvXat++fTpw4IA2btyo+fPn68MPP0xQJ0JQUJCmTp1qU968efN4t5la1K9f3275+vXrEzRqIHKWkajMpqpG0hg/frxy5MihWrVqJepxkvN7IAAgdoZhqEuXLtYRam3bto3zsk158+bVuHHjTOsHDhyYopcE+f7771W9enWHRu4FBgZaR456e3snaAStPRaLxXS99FWrVqXo5xkA0oodO3ZoypQpduty5swZLTk9OYvL56OzfPrpp6aDfAYNGhRt1tK4MOsribq0bHw4u6/E3iwUp06d0saNG2UYhvXmeNeuXeM10KVy5cp2ByQtWbIkwUsLHzx4UNu3b3e4LxEx+++///T777+rbdu2Dm1vsVj0ySef2JRfvnxZP/30k1asWCFJKliwYKrsP129erV++uknSdLgwYP14osvWutKlCihESNG2Ozz+PFjdevWTSEhIUkVJpDikFiBNC+l3cxPLUkJqeU80qpnn31Wr7/+ut26qBcdAwcOTKqQrOrWrWu3fPLkydq6dWu82120aJEOHjyol156KdZtV65cqfbt2ys0NFRDhw41HQXgTFu2bLFZY1J6siZlQiR0fcXw8PAE7e8MnTp1kqenp025n5+fNm/eHO92n+68yJAhg9588814t4eEuXv3rsaNG6fXXnvNdEpTZ0nO74EAgNh9/fXX+vPPPyVJpUqV0i+//BKvdrp06aIWLVrYrfP391f37t1T5FrVJ06c0Pz589WmTRuHtp8zZ44ePHggSXrzzTfjNdV3bLp162b3ZklERITTRpQCABLHjRs39OabbyoiIsJu/bRp05Q7d+4kjiru4vr56Cxubm769ddf7X6+BgcHq1OnTg6P4I+qW7dudsuPHTum06dPx7m9yHieTngsUKCAmjVrFq/2JOmtt96Sj4+PTfnkyZO1adMmnTlzRhaLRe+880682vf09LQ7ICI8PFzdu3dP0A3mzz77TO7u7nGa/Rbmhg0bpsyZM6thw4YO79OpUycVKFDApvyzzz6zvm66d+9ud/BMSnb9+nV169ZNhmGoVq1aGjJkiM02H374od0BiseOHdPQoUOTIkwgRSKxAlDKu5mfWpISUst5pFWxTW9fsmRJl4zeb926tbJmzWpTbhiG3nzzTZ05cybObd65c0cDBw6Up6enunTpEuO2J0+eVMeOHa0zIXTq1CnOx4uPCxcu2C23l2wRF3FJjLB3EfLw4cMEHT8qs06Y2OTNm9f0JnhMI01jcu/ePZtRGB07dkyUGwkpkStuIn3++ed6+PChwyMXEiq5vgcCAGL222+/adiwYZKkjBkzavny5cqUKVO825s2bZrd756StHHjRusosfhyxWdq//79FRER4dCNI8Mwop2jo2tex1X27NlNv89Nnz5djx49SpTjAkBqFt9r7Ljw9/dXy5YtdfnyZbv1gwcPNn1/j0ly/3yUzGOMT+wFCxY0XWZs//79+vTTT+Pc5gsvvKDq1avbrYtvX8mJEyds/q569+6doJvWmTNnVufOnW3K//jjD+sSGw0aNFDJkiXjfQyz5T6PHz+ubt26xWvQ0IIFC7Ru3Tq1aNFCefLkifP+SfH6TIikfg3+/fffWrhwoVq2bGl38JSZdOnS6aOPPrIpj3x+3dzc1LNnT6fFmRxERESoc+fOun37trJkyaL58+fbfQ1aLBbNmjXL7owtY8aMSfCMLUBqRWIF8P+ltJv5qSUpIbWcR0oUNZs9PpntVatWjTHjesCAAfFaW9ksFkdj9PHxMc1Sv3btmurXr6///vvP4XiCgoLUvn17Xb16VR06dIh1FMUnn3xiXatbkmnngbNFjhJ82q5duxLUblz+NuytzWf2XN+4cUO9evWyO0Wk2QWr2VqsjogcJfC01atX68SJE3Fu7+mpMdOlS+fwcjMpceRqXMU0oiMsLMzpx/vrr7/0888/K1euXHaz7e1Jre+BAABz//77rzp37mz9LJ46darddbvjIn/+/Bo7dqxp/eeff66DBw/Gu/2k/kz95ZdftH79elWuXFnPPPNMrNv/8ccf1u97lStXNl2n3BnMEpzv3LmjuXPnJtpxASC1Suyp3u/cuaNGjRrp33//tVvfq1cvff311/FqO7l/PkrOv7Zr06aNevToYbcu6rIGcfG///3PbvmsWbN07969OLf3dF9Jjhw51L9//zi387S+ffvalIWHh2vbtm2SZLpkmKPat29vurzLwoUL9dZbb8Xp72rPnj3Wvsl+/frFuG1i9IElBbPXYGK8/gIDA9WrVy8ZhhGvGWPeeecd04FQzZo1U6FChRIaYrLq6xs5cqQ2bdok6cn1TpEiRUy3LVasmEaOHGlTHh4erm7dupG8DNhBYgUQRUq7mZ9akhJSy3mkNFFv/kf9OS7MRmznzp1bb731VoLjcqTcng8++ECZM2e2W3f16lVVrlxZEydOjPVL7+nTp9WwYUNt3rxZ3t7e+vbbb2Pc/urVq1q5cmW0srZt22rSpEk6fvy4/Pz8FBoamihZ59mzZ7dbPn78+Fj3DQkJ0aBBg+wmgQQGBtqUmXWK5M2b16Zs69atunPnTrSyiIgIffDBB9q5c6fdfcwuzsxm5XBExYoV9cEHH9iUG4ahwYMHx7m9xYsXR/u9X79+DneuBAcH25RFznCSUMnl5ntMM5UkdBaVp506dUpvvvmmDMNQ69atHR4Jk5rfAwEAto4dO6ZXXnnF+t2mY8eOdkc/xkf37t2jrVkcVUhIiNq3by9/f/94tZ2Un6l///23tfPf0dkqImf/kJTos0a99NJLdqcCl6TvvvsuUTryASA1u3//fqK1vXfvXlWpUsW0/6B///6aNm1avJdxTM6fj5Hs9afEVO6IcePGmc7M0KVLFx06dChO7bVo0UKvvfaaTXlQUJC++eabOLVlGIaWLFkSrWzo0KGm/XNxUb58edPvWnnz5lXr1q0T1L6np6c+++wz0/r58+eratWqOnDgQKxtzZs3T40aNdLDhw/VokULNWrUKMbtE6MPLCmYvQad/foLDw/XW2+9pRMnTihTpkxq0qRJnNvw8fGxm5wjPZlRxRmSS1/f1q1brct4dOrUSR07dox1n379+tldDufkyZMxvi6AtIrECqRpy9bbfrlPaTfzU0tSQmo5j5Tk+vXrdn+Oi+bNm9sd5devXz+7ayDHNa6orl275nA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",
      "text/plain": [
       "<Figure size 2100x840 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig.savefig(\"scalability.pdf\", bbox_inches=\"tight\", dpi=1000)\n",
    "fig"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "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": "3.12.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}