{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "qvc802b6zh",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Shared visualization style — used across all figures in this chapter\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.colors as mcolors\n",
    "import matplotlib.patches as mpatches\n",
    "from matplotlib.legend_handler import HandlerBase\n",
    "from matplotlib.patches import Rectangle\n",
    "import numpy as np\n",
    "\n",
    "FIGSIZE        = (10, 6)\n",
    "TITLE_FS       = 22\n",
    "LABEL_FS       = 18\n",
    "TICK_FS        = 15\n",
    "BAR_HEIGHT     = 0.85\n",
    "CONTENT_COLOR  = \"#87ceeb\"\n",
    "PADDING_COLOR  = \"#d3d3d3\"\n",
    "ACCENT_COLOR   = \"#E05A5A\"\n",
    "\n",
    "SEGMENT_COLORS = [\n",
    "    \"#a6cee3\",  # light blue\n",
    "    \"#b2df8a\",  # light green\n",
    "    \"#fb9a99\",  # soft red\n",
    "    \"#fdbf6f\",  # light orange\n",
    "    \"#cab2d6\",  # lavender\n",
    "    \"#ffe066\",  # warm yellow\n",
    "    \"#a8d8ea\",  # powder blue\n",
    "    \"#90ee90\",  # light green 2\n",
    "    \"#fbb4ae\",  # rose pink\n",
    "    \"#b3cde3\",  # powder blue 2\n",
    "    \"#ccebc5\",  # mint\n",
    "    \"#decbe4\",  # lilac\n",
    "    \"#fed9a6\",  # peach\n",
    "    \"#c7e9b4\",  # pale sage\n",
    "]\n",
    "\n",
    "LEGEND_KW = dict(\n",
    "    loc=\"upper center\", bbox_to_anchor=(0.5, -0.18),\n",
    "    ncol=3, fontsize=TICK_FS, framealpha=0.8, edgecolor=\"#cccccc\"\n",
    ")\n",
    "\n",
    "class RainbowPatchHandler(HandlerBase):\n",
    "    \"\"\"Draws a legend key as a row of colored segments.\"\"\"\n",
    "    def __init__(self, colors):\n",
    "        self.colors = colors\n",
    "        super().__init__()\n",
    "\n",
    "    def create_artists(self, legend, orig_handle, xdescent, ydescent, width, height, fontsize, trans):\n",
    "        n = len(self.colors)\n",
    "        seg_w = width / n\n",
    "        return [\n",
    "            Rectangle([xdescent + i * seg_w, ydescent], seg_w, height,\n",
    "                      facecolor=c, edgecolor=\"none\", transform=trans)\n",
    "            for i, c in enumerate(self.colors)\n",
    "        ]\n",
    "\n",
    "def _style_bar_ax(ax):\n",
    "    ax.spines[\"top\"].set_visible(False)\n",
    "    ax.spines[\"right\"].set_visible(False)\n",
    "    ax.spines[\"left\"].set_color(\"#cccccc\")\n",
    "    ax.spines[\"bottom\"].set_color(\"#cccccc\")\n",
    "    ax.tick_params(colors=\"#888888\")\n",
    "    ax.xaxis.label.set_color(\"#444444\")\n",
    "    ax.yaxis.label.set_color(\"#444444\")\n",
    "    ax.title.set_color(\"#222222\")\n",
    "\n",
    "def _style_packing_ax(ax):\n",
    "    for spine in ax.spines.values():\n",
    "        spine.set_color(\"#cccccc\")\n",
    "        spine.set_linewidth(1)\n",
    "    ax.tick_params(colors=\"#888888\")\n",
    "    ax.xaxis.label.set_color(\"#444444\")\n",
    "    ax.yaxis.label.set_color(\"#444444\")\n",
    "    ax.title.set_color(\"#222222\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4f08099a-e3c5-4203-acbe-cf36ec5a34b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "content_lengths = [120, 750, 130, 180, 430, 200, 130, 120]\n",
    "max_len = max(content_lengths)\n",
    "labels = [f\"Seq {i+1}\" for i in range(len(content_lengths))]\n",
    "\n",
    "fig, ax = plt.subplots(figsize=FIGSIZE)\n",
    "y = np.arange(len(content_lengths))\n",
    "\n",
    "ax.barh(y, content_lengths, color=CONTENT_COLOR, label=\"Content\", height=BAR_HEIGHT)\n",
    "ax.barh(y, [max_len - c for c in content_lengths], left=content_lengths,\n",
    "        color=PADDING_COLOR, label=\"Padding\", height=BAR_HEIGHT)\n",
    "\n",
    "ax.set_yticks(y)\n",
    "ax.set_yticklabels(labels, fontsize=TICK_FS)\n",
    "ax.set_xlabel(\"Token Length\", fontsize=LABEL_FS)\n",
    "ax.set_title(\"Naive Padding: Padded to Max Length in Batch\", fontsize=TITLE_FS, pad=12)\n",
    "ax.tick_params(axis=\"x\", labelsize=TICK_FS)\n",
    "ax.legend(fontsize=TICK_FS, loc=\"upper center\", bbox_to_anchor=(0.5, -0.18),\n",
    "          ncol=2, framealpha=0.8, edgecolor=\"#cccccc\")\n",
    "ax.invert_yaxis()\n",
    "_style_bar_ax(ax)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"naive_padding.png\", dpi=300, bbox_inches=\"tight\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2403fa0b-1d1d-4f07-8fb5-9f33fa543688",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "content_lengths = [120, 130, 180, 430, 200, 130, 120]\n",
    "max_len = 512\n",
    "labels = [f\"Seq {i+1}\" for i in range(len(content_lengths))]\n",
    "\n",
    "fig, ax = plt.subplots(figsize=FIGSIZE)\n",
    "y = np.arange(len(content_lengths))\n",
    "\n",
    "ax.barh(y, content_lengths, color=CONTENT_COLOR, label=\"Content\", height=BAR_HEIGHT)\n",
    "padding = [max(0, max_len - c) for c in content_lengths]\n",
    "ax.barh(y, padding, left=[min(c, max_len) for c in content_lengths],\n",
    "        color=PADDING_COLOR, label=\"Padding\", height=BAR_HEIGHT)\n",
    "ax.axvline(x=max_len, color=ACCENT_COLOR, linestyle=\"--\", linewidth=1.5,\n",
    "           label=f\"Max length ({max_len})\")\n",
    "\n",
    "# Extend x-axis so the red line is clearly inside the plot\n",
    "ax.set_xlim(0, max_len * 1.08)\n",
    "\n",
    "ax.set_yticks(y)\n",
    "ax.set_yticklabels(labels, fontsize=TICK_FS)\n",
    "ax.set_xlabel(\"Token Length\", fontsize=LABEL_FS)\n",
    "ax.set_title(f\"Constraint Padding: Fixed Max Length ({max_len})\", fontsize=TITLE_FS, pad=12)\n",
    "ax.tick_params(axis=\"x\", labelsize=TICK_FS)\n",
    "ax.legend(fontsize=TICK_FS, loc=\"upper center\", bbox_to_anchor=(0.5, -0.18),\n",
    "          ncol=3, framealpha=0.8, edgecolor=\"#cccccc\")\n",
    "ax.invert_yaxis()\n",
    "_style_bar_ax(ax)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"constraint_padding.png\", dpi=300, bbox_inches=\"tight\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "da69d8dd-5fe7-4006-bcdb-58372d84f01e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ffXr22WdlMBhUU1OjhQsX6vPPP++19i9V68rmkpSRkdHltfX19crKynJ2SQAABxG6AQD92rBhw/SVr3xFUkvIe/3117u83mQy2X9u7fHuiM1m06uvvto7Rf6fC/fsPnz4sA4fPixJmjZtWpt53hdqHUYvSX/4wx863XqsLzn/sy4oKOj0OrPZrKVLl3bZ1m233Wafa798+fIu23PU3XffrV//+tdyc3OTxWLRQw89pPT09F5r/1IkJiba/1x89tlnysnJ6fTaDz/8UJWVlZerNABANxG6AQD93mOPPWYPeG+++WaX1w4fPtw+R3rDhg3atWtXu2tqa2v1+OOP2wNxb7n55pvtz161apU++OAD+7mO9ua+8N4JEyZIkg4dOqRFixapvLy80+ubmpr02Wef2edUu8LYsWPtK3evWLGiwy85zp49q8WLF+v06dNdtjV48GDNnz9fUsuc7gcffLDLYeb5+fk6cuRIt2v98pe/rN/+9rdyd3eX1WrV17/+dW3durXb9zuLp6en7r33XklSQ0ODHnvsMZWVlbW7bt++fXruuecud3kAgG5gITUAQL83cOBAPfjgg3r55ZcvuiBXa4j561//qoaGBs2fP1+pqakaP368fHx8lJubq5UrV6qkpETJyck6duxYj/fovpDJZNLNN99sb/+dd96R1LKt1PTp07u812Aw6NVXX9WXv/xlnTx5Utu2bdMNN9ygW265RQkJCQoODpbNZtOZM2d06NAhffbZZyorK1NycrK+/e1v90r9jgoLC9Ps2bO1du1aVVdX6/bbb9dXvvIVxcXFyWg0Kjs7WytXrlRlZaXuuuuuNl9CdOSJJ57Qvn37tGvXLh0/fly33XabbrrpJk2ePFkhISGqq6tTQUGBMjIylJWVpV//+tcaNWpUt+u98847ZTQa9fjjj6uurk6LFi3SK6+8ohkzZlzqR3FJHnnkEX3yySc6evSojh49qtmzZ2vevHmKi4tTfX29MjMztWrVKhkMBt144432fbovdeV0AEDvIHQDAK4IX//61/Xuu+/a97Puyve+9z0dPnxYW7duVX19vZYvX95uEbYpU6bopZde0h133NGrdc6dO9e+p3jrgmhz5sxps01ZZ6655hqtWrVKTzzxhDZv3iyLxaKVK1d2uUf5oEGDeqfwHnr22Wd1/PhxHTx4UOfOndPf//73dtfMnj1bzzzzzEVDt5eXl95++2395Cc/0apVq9TQ0KC1a9dq7dq1HV7fk9A5Z84ceXh46Dvf+Y5sNpu+9a1v6cUXX9RNN93kcFu9xcvLS2+99ZYWLlyow4cPq6KiQq+99lqba3x8fPSb3/xGhw8ftofu3thaDQBw6QjdAIArgp+fn7797W/r6aefvui1np6eeuONN/TBBx9o5cqVOnTokOrq6hQcHKyRI0fqS1/6ku68806n9BQmJSUpPDxcxcXF9mOdrVrekeDgYL3++uvas2ePPvroI+3cuVMlJSWqqqqSl5eXQkNDNWLECCUmJmr69OmKjY3t9ffgiMDAQL3//vv65z//qTVr1ujYsWOy2WwKDQ3V2LFjdeeddzoUaL29vfW73/1ODz74oP71r38pIyNDpaWlOnfunEwmkyIjIzV+/HjddNNNSklJ6VHNN998s15++WU9+uijstlsevTRR/WHP/xBt956a4/a6w2tX7gsW7ZMq1evVl5enmw2m8LCwnTdddfpgQce0PDhw9sstjZgwACX1QsA+B9Dc3Nzs6uLAAAAwKX70pe+pIMHDyogIEC7du2yz6kHALgOk30AAACuALt27dLBgwcltUyPIHADQN9A6AYAAOjjDh48qOrq6k7P5+Tk6Lvf/a79deuK5wAA12NONwAAQB+3cuVKrVixQikpKUpISNDgwYNlNBp15swZZWZm6tNPP1VDQ4OklsXgrrvuOhdXDABoRegGAADoBywWi9avX6/169d3es0dd9yhX/3qV5exKgDAxbCQGgAAQB9XWlqqjRs3auvWrTp27JjOnj2rqqoq+fj4KCwsTBMnTtRdd92liRMnurpUAMAFCN0AAAAAADgJC6kBAAAAAOAkhG4AAAAAAJyE0A0AAAAAgJMQugEAAAAAcBJCNwAAAAAATkLoBgAAAADASQjdAAAAAAA4CaEbAAAAAAAnMbq6gP6qoaFBZrNZXl5ecnPjuwsAAAAAuJo0NTWprq5OgYGBMho7j9aE7h4ym80qKChwdRkAAAAAABeKjo5WSEhIp+cJ3T3k5eUlSSpRgGwGPkagLzIFrHN1CbgCJWf4uboEAHC6gnHjXV0C0Oc1NzeroaHBng07Q1rsodYh5TaDUXUGDxdXA6AjHsYaV5eAK5DJ6u7qEgDA6Zg+CVxcU1OTpIv/feFvEwAAAAAATkLoBgAAAADASQjdAAAAAAA4CaEbAAAAAAAnIXQDAAAAAOAkhG4AAAAAAJyE0A0AAAAAgJP0aJ/u/Px87d69W8XFxbJarfL09JSvr6/CwsIUGRmpsWPHyt297+xj2tTUpCNHjqikpEQlJSU6deqU6uvrlZCQoJtvvtnV5QEAAAAArlAOh+5t27Zp+/btkqTQ0FANGTJEBoNBFRUVys7OVnZ2tkaMGCE/P79eL7anbDabVq9e7eoyAAAAAABXGYdCd0lJibZv3y53d3fNnTtXMTExbc5XV1dr7969Mhp71IHuNG5ubrr22ms1ePBgDRo0SKdPn9b69etdXRYAAAAA4ArnUDrOycmRJMXFxbUL3JLk7++vlJSU3qmsF3l6emrOnDn21xUVFS6sBgAAAABwtXAodFssFkmSj4+Pww+yWCzKyMhQXl6ezGazjEajwsPDlZSUpMjIyA7v2bNnj7KyslRZWSkfHx/Fxsbq+uuv1wcffKATJ05o8eLFCgwMdLgWAAAAAAAuB4dCt7+/vyTp6NGjSkpKkslk6tZ95eXleu+991RTU6MBAwYoJiZGVqtVhYWFKigo0Jw5czRmzJg292zatEmZmZlyd3dXVFSUjEajsrOzdfLkyT61SBsAAAAAAJ1xKHSPGTNGGRkZqqqq0muvvabY2FhFREQoPDxcoaGhMhgM7e5pamrSqlWrVFNTo5kzZ2rixIn2606dOqXly5dr3bp1ioqKkq+vrySpqKhImZmZ8vb21vz58zVw4EBJktVq1bJly3Tq1KlLfd8Oa2hoUGNjo/21zWa77DUAAAAAAPoXh0J3UFCQUlNTtXbtWtXU1OjAgQM6cOCAJMlkMik+Pl5JSUny9va235Obm6uysjKNHj1aiYmJbdoLCwtTcnKyNm7cqIMHD2ry5MmSWoaVS9LkyZPtgVtqGdY+ffp0rVixokdv9lJkZGQoPT3d/trf319Tpky57HUAAAAAAPoPh5cZHzZsmBYtWqTc3FwVFBSouLhYZWVlslgs2rFjh3JycrRgwQL70POCggJJ0siRIztsLyIiQpJUWlpqP1ZUVCSpZcG2jp7v7e2t2tpaR0u/JFOnTtWkSZPsr61Wq/Ly8i5rDQAAAACA/qVHe3sZjUbFxcXZQ7HFYtH+/fuVnp6uyspKpaWlafbs2ZIks9ksSVq9enWXe2W3LtImSTU1NZL+N4f8QgEBAZc9dBuNxjZboZ0/1BwAAAAAgI70yobaJpNJU6ZMkdFo1IYNG3Ts2DH7uebmZknS8OHDu1x4LSQkpDdKAQAAAACgz+iV0N1q6NChktr2Wrf2VickJHQ6xPxCfn5+MpvNqq6uVlBQULvzVVVVvVAtAAAAAADO5ebIxa291p05e/aspJbQ3CoqKkqSlJOT0+3ntM7zPnz4cLtz+fn5l31oOQAAAAAAPeFQ6N62bZs2b95sD9fnq6io0KZNmyRJsbGx9uNxcXEKDg7W/v37lZGR0W4udGNjo44cOaIzZ87YjyUkJEiSMjMzVVZWZj9utVq1ZcsWR0oGAAAAAMBlHBpebrPZlJWVpR07dig4OFihoaFyc3NTVVWVSkpK1NzcrEGDBiklJcV+j5ubm1JTU7VixQqlpaUpKytLAwcOlKenp6qrq1VeXq66ujrNnTvXvj1YRESEEhMTtXPnTi1dulTR0dEyGo06fvy4AgICFB4eruLiYofe6Pr16+0rpFutVknS0aNH2+z5ff/99zvUJgAAAAAAXXEodCcnJ2vQoEHKz8/X6dOnVVhYKJvNJi8vL0VGRmrUqFEaP3683N3d29wXEhKihQsXaufOncrJybFvCebr66vIyEjFxsYqOjq6zT0zZsxQcHCwdu3apYKCAvn4+CguLk7Tpk3TypUrHX6jZWVlKikpaXPMYrG0mX8OAAAAAEBvcih0m0wmxcfHKz4+3uEHeXt7KyUlpU0veFcMBoMmTJigCRMmOPysjsyfP79X2gEAAAAAoLscmtMNAAAAAAC6j9ANAAAAAICTELoBAAAAAHASh+Z09xXMzwYAAAAA9Af0dAMAAAAA4CSEbgAAAAAAnKRfDi/vS6bFhMjHx+TqMgB0wOC22NUl4Arkfo/B1SUAgNON8vJydQlAn2exWJSbm3vR6wjdl8jHwyiTJx8j0Df5u7oAXIn8XF0AADifh6sLAPoBD4/u/U0hLV4ia32DZGtwdRkA4FIGN6urS4CTeddexh5+D/5/9Xz1Tb6uLgHA//H0qHF1CR2yNAe4ugSXaXS3uOzZtU213bqO0H2J0vLKVWeocnUZAOBSfkHLXF0CnGz2p4GX7VluI7Mv27P6g73Vi1xdAoD/M2ncH11dQofW1D7r6hJcpvSad132bN86X03QhItex0JqAAAAAAA4CaEbAAAAAAAnIXQDAAAAAOAkhG4AAAAAAJyE0A0AAAAAgJMQugEAAAAAcJIebRmWn5+v3bt3q7i4WFarVZ6envL19VVYWJgiIyM1duxYubu793atPWY2m5Wbm6tjx46pvLxcNTU18vT01KBBgzRhwgSNHDnS1SUCAAAAAK5ADofubdu2afv27ZKk0NBQDRkyRAaDQRUVFcrOzlZ2drZGjBghPz+/Xi+2p9asWaOTJ0/KaDQqPDxc4eHhOnv2rPLz85Wfn6/ExETNnDnT1WUCAAAAAK4wDoXukpISbd++Xe7u7po7d65iYmLanK+urtbevXtlNPaoA91pAgICFB8frzFjxsjT09N+PC8vTytXrtTOnTs1fPhwDRs2zIVVAgAAAACuNA7N6c7JyZEkxcXFtQvckuTv76+UlBR5e3v3TnW95Etf+pISEhLaBG5JiomJ0dixYyVJ2dnZrigNAAAAAHAFc6hL2mKxSJJ8fHwcfpDFYlFGRoby8vJkNpvtQ72TkpIUGRnZ4T179uxRVlaWKisr5ePjo9jYWF1//fX64IMPdOLECS1evFiBgYEO13K+a665RpJUU1NzSe0AAAAAAHAhh0K3v7+/JOno0aNKSkqSyWTq1n3l5eV67733VFNTowEDBigmJkZWq1WFhYUqKCjQnDlzNGbMmDb3bNq0SZmZmXJ3d1dUVJSMRqOys7N18uTJXl2k7ezZs5LUp+agAwAAAACuDA6F7jFjxigjI0NVVVV67bXXFBsbq4iICIWHhys0NFQGg6HdPU1NTVq1apVqamo0c+ZMTZw40X7dqVOntHz5cq1bt05RUVHy9fWVJBUVFSkzM1Pe3t6aP3++Bg4cKEmyWq1atmyZTp06danvW5JUW1urgwcPSpJGjBjRK20CAAAAANDKoTndQUFBSk1NlZ+fn2w2mw4cOKB169bpzTff1Msvv6zNmzertra2zT25ubkqKyvT6NGjlZiY2CaYh4WFKTk5WfX19fbwK7UMK5ekyZMn2wO31DKsffr06T15nx1av369LBaLwsPDFRsb2+W1DQ0Nqqurs/+y2Wy9VgcAAAAA4Mrk8DLjw4YN06JFi5Sbm6uCggIVFxerrKxMFotFO3bsUE5OjhYsWGAfel5QUCBJne6FHRERIUkqLS21HysqKpLUsmBbR8/39vZuF+4dlZGRoUOHDsnb21u33357h730F16fnp5uf+3v768pU6ZcUg0AAAAAgCtbj/b2MhqNiouLs4dii8Wi/fv3Kz09XZWVlUpLS9Ps2bMlSWazWZK0evVqrV69utM2Wxdpk/63qFnrHPILBQQEXFLo3r9/v9LS0uTh4aEvf/nLGjBgwEXvmTp1qiZNmmR/bbValZeX1+MaAAAAAABXvl7ZUNtkMmnKlCkyGo3asGGDjh07Zj/X3NwsSRo+fHiXC6+FhIT0RikXlZOTo48//ti+1/iQIUO6dZ/RaGyz/3hjY6OzSgQAAAAAXCF6JXS3Gjp0qKS2vdatvdUJCQmdDjG/kJ+fn8xms6qrqxUUFNTufFVVVY/qKyws1EcffSRJmjNnjoYNG9ajdgAAAAAA6A6HFlJr7bXuTEfbb0VFRUlq6WHurtZ53ocPH253Lj8/v0dDy0tLS/XBBx+osbFRs2fP7nC+OAAAAAAAvcmh0L1t2zZt3rzZHq7PV1FRoU2bNklSm5XA4+LiFBwcrP379ysjI6PdsOzGxkYdOXJEZ86csR9LSEiQJGVmZqqsrMx+3Gq1asuWLY6ULKlln/D3339fNptNN954o8aOHetwGwAAAAAAOMqh4eU2m01ZWVnasWOHgoODFRoaKjc3N1VVVamkpETNzc0aNGiQUlJS7Pe4ubkpNTVVK1asUFpamrKysjRw4EB5enqqurpa5eXlqqur09y5c+3bg0VERCgxMVE7d+7U0qVLFR0dLaPRqOPHjysgIEDh4eEqLi7udt2rV6+WxWKRyWRSaWmp/vOf/7S7JiQkRFOnTnXk4wAAAAAAoEsOhe7k5GQNGjRI+fn5On36tAoLC2Wz2eTl5aXIyEiNGjVK48ePl7u7e5v7QkJCtHDhQu3cuVM5OTn2LcF8fX0VGRmp2NhYRUdHt7lnxowZCg4O1q5du1RQUCAfHx/FxcVp2rRpWrlypUNvsnU4usVi0YEDBzq8JjIyktANAAAAAOhVDoVuk8mk+Ph4xcfHO/wgb29vpaSktOkF74rBYNCECRM0YcIEh591oUceeeSS2wAAAAAAwFEOzekGAAAAAADdR+gGAAAAAMBJCN0AAAAAADiJQ3O6+4r58+e7ugQAAAAAAC6Knm4AAAAAAJyE0A0AAAAAgJMQugEAAAAAcBJDc3Nzs6uL6I8sFosOHTqk6BEj5eNjcnU5AOBSBjerq0uAk3nXGi7fwzwaLt+z+oH6Jl9XlwDg/3h61Li6hA5ZmgNcXYLLNLpbXPbsWkutCo8UavTo0TKZOs+E/XIhtb7Ex8MokycfI4Crnb+rC4Cz+bm6gKuXp6sLAHCeIFcX0KGruwvQdf8N4u7m3q3rSIuXyFrfINn4Rh5wFmf1oF7WXru+jB5F4LLqb73WfbVXDz13NfeIwjk81OTqElymvr6+W9cRui9RWl656gxVri4DuGL5BS1zSruzPw10Srv9jdvIbFeXAFxV9lYvcnUJDpk07o+uLgG9bE3ts64uAVeYa+tPuboEl2lq6t4XDiykBgAAAACAkxC6AQAAAABwEkI3AAAAAABOQugGAAAAAMBJCN0AAAAAADgJoRsAAAAAACfp0ZZh+fn52r17t4qLi2W1WuXp6SlfX1+FhYUpMjJSY8eOlbt79zYKvxzMZrOysrJUUlKis2fPymq1ys3NTcHBwYqNjdWkSZPk4eHh6jIBAAAAAFcYh0P3tm3btH37dklSaGiohgwZIoPBoIqKCmVnZys7O1sjRoyQn59frxfbU2fOnFFmZqZ8fX0VEhIiX19f1dbWqri4WNu2bdPhw4c1f/58eXt7u7pUAAAAAMAVxKHQXVJSou3bt8vd3V1z585VTExMm/PV1dXau3evjMYedaA7zaBBg/Tggw9q4MCBbY7X1dXpww8/1PHjx5WRkaEbbrjBNQUCAAAAAK5IDs3pzsnJkSTFxcW1C9yS5O/vr5SUlD7XY+zn59cucEuSl5eXUlJSJEmFhYWXuywAAAAAwBXOoS5pi8UiSfLx8XH4QRaLRRkZGcrLy5PZbJbRaFR4eLiSkpIUGRnZ4T179uxRVlaWKisr5ePjo9jYWF1//fX64IMPdOLECS1evFiBgYEO13I+g8EgSXJzY005AAAAAEDvcih0+/v7S5KOHj2qpKQkmUymbt1XXl6u9957TzU1NRowYIBiYmJktVpVWFiogoICzZkzR2PGjGlzz6ZNm5SZmSl3d3dFRUXJaDQqOztbJ0+e7LVF2urr6/Xf//5XkjR8+PBeaRMAAAAAgFYOhe4xY8YoIyNDVVVVeu211xQbG6uIiAiFh4crNDTU3mt8vqamJq1atUo1NTWaOXOmJk6caL/u1KlTWr58udatW6eoqCj5+vpKkoqKipSZmSlvb2/Nnz/fPjTcarVq2bJlOnXqVI/ebG1trTZu3Cippee9pKREVqtVI0eO1KRJk3rUJgAAAAAAnXEodAcFBSk1NVVr165VTU2NDhw4oAMHDkiSTCaT4uPjlZSU1GZOd25ursrKyjR69GglJia2aS8sLEzJycnauHGjDh48qMmTJ0tqGVYuSZMnT24zF9vHx0fTp0/XihUrevRmbTabvd5Wo0aN0qxZsy66ZVhDQ4MaGxvbtAUAAAAAQFccXmZ82LBhWrRokXJzc1VQUKDi4mKVlZXJYrFox44dysnJ0YIFC+xDzwsKCiRJI0eO7LC9iIgISVJpaan9WFFRkaSWBds6er63t7dqa2sdLV0BAQH60Y9+pObmZlVXV6ugoEBbt27V3//+d335y1/WoEGDOr03IyND6enp9tf+/v6aMmWKwzUAAAAAAK4ePdrby2g0Ki4uzh6KLRaL9u/fr/T0dFVWViotLU2zZ8+WJJnNZknS6tWrtXr16k7bbF2kTZJqamok/W8O+YUCAgJ6FLpbGQwGBQQEaNy4cRo4cKDefvttrV27VgsXLuxwiLwkTZ06tc0QdKvVqry8vB7XAAAAAAC48vXKhtomk0lTpkyR0WjUhg0bdOzYMfu55uZmSS0LlXW18FpISEhvlOKwwYMHKzg4WGfOnJHZbNaAAQM6vM5oNLbZf/z8oeYAAAAAAHSkV0J3q6FDh0pq22vd2ludkJDQ6RDzC/n5+clsNqu6ulpBQUHtzldVVfVCtf9jMplUXl4ui8XSaegGAAAAAMBRDm1O3dpr3ZmzZ89KagnNraKioiRJOTk53X5O6zzvw4cPtzuXn59/SUPLL1RXV2dfDf1S9/wGAAAAAOB8DoXubdu2afPmzfZwfb6Kigpt2rRJkhQbG2s/HhcXp+DgYO3fv18ZGRnthmU3NjbqyJEjOnPmjP1YQkKCJCkzM1NlZWX241arVVu2bHGkZEnSrl27dPr06XbHq6urtWbNGtlsNsXExNi3LAMAAAAAoDc4NLzcZrMpKytLO3bsUHBwsEJDQ+Xm5qaqqiqVlJSoublZgwYNUkpKiv0eNzc3paamasWKFUpLS1NWVpYGDhwoT09PVVdXq7y8XHV1dZo7d659e7CIiAglJiZq586dWrp0qaKjo2U0GnX8+HEFBAQoPDxcxcXF3a778OHD+vTTTxUSEqKQkBC5ubmpurpapaWlamxsVGhoqG655RZHPgoAAAAAAC7KodCdnJysQYMGKT8/X6dPn1ZhYaFsNpu8vLwUGRmpUaNGafz48XJ3d29zX0hIiBYuXKidO3cqJyfHviWYr6+vIiMjFRsbq+jo6Db3zJgxQ8HBwdq1a5cKCgrk4+OjuLg4TZs2TStXrnToTU6ZMkUDBgxQcXFxm5rDw8PtNZ+/SBoAAAAAAL3BoaRpMpkUHx+v+Ph4hx/k7e2tlJSUNr3gXTEYDJowYYImTJjg8LMuFBMTo5iYmEtuBwAAAAAARzg0pxsAAAAAAHQfoRsAAAAAACchdAMAAAAA4CT9cvWw+fPnu7oEAAAAAAAuip5uAAAAAACchNANAAAAAICTELoBAAAAAHASQ3Nzc7Ori+iPLBaLDh06pOgRI+XjY3J1OcAVy+BmdUq73rUGp7Tb73g0uLoC4KpS3+Tr6hIc4ulR4+oS0MsszQGuLgFXGA81uboEl7FYLMrNzdXo0aNlMnWeCfvlQmp9iY+HUSZPPkbAefyd06yfc5oFgK54uroAhwW5ugD0MrqK0PvcXV2Ay3h4eHTrOtLiJbLWN0g2eooAALgUzhrV0hmXjnbpxyNM+ltPfX/BiALH0WPfc43uFqe0693o7ZR2+7L6+vpuXUfovkRpeeWqM1S5ugwAAPo1v6Bll/V5sz8NvKzPO5/byGyXPftS7a1e5OoSrkiTxv3R1SX0O2tqn3V1Cf1W6TXvOqXdmSdnOqXdvqypqXtD61lIDQAAAAAAJyF0AwAAAADgJIRuAAAAAACchNANAAAAAICTELoBAAAAAHASQjcAAAAAAE7Soy3D8vPztXv3bhUXF8tqtcrT01O+vr4KCwtTZGSkxo4dK3f3vr1J+oEDB/Sf//xHkjRt2jRNnTrVxRUBAAAAAK40Dofubdu2afv27ZKk0NBQDRkyRAaDQRUVFcrOzlZ2drZGjBghPz+/Xi+2t1gsFm3atMnVZQAAAAAArnAOhe6SkhJt375d7u7umjt3rmJiYtqcr66u1t69e2U09qgD/bLZtGmT6uvrde211+rgwYOuLgcAAAAAcIVyKB3n5ORIkuLi4toFbkny9/dXSkpK71TmJPn5+Tp48KCuu+46NTU1ubocAAAAAMAVzKHQbbFYJEk+Pj4OP8hisSgjI0N5eXkym80yGo0KDw9XUlKSIiMjO7xnz549ysrKUmVlpXx8fBQbG6vrr79eH3zwgU6cOKHFixcrMDCw2zXU19dr/fr1CgkJ0ZQpU/Tf//7X4fcBAAAAAEB3ORS6/f39JUlHjx5VUlKSTCZTt+4rLy/Xe++9p5qaGg0YMEAxMTGyWq0qLCxUQUGB5syZozFjxrS5Z9OmTcrMzJS7u7uioqJkNBqVnZ2tkydP9niRts8++0xnz57VPffc0+cXegMAAAAA9H8Ohe4xY8YoIyNDVVVVeu211xQbG6uIiAiFh4crNDRUBoOh3T1NTU1atWqVampqNHPmTE2cONF+3alTp7R8+XKtW7dOUVFR8vX1lSQVFRUpMzNT3t7emj9/vgYOHChJslqtWrZsmU6dOuXwGz116pR27typsWPHaujQoQ7fDwAAAACAoxzapzsoKEipqany8/OTzWbTgQMHtG7dOr355pt6+eWXtXnzZtXW1ra5Jzc3V2VlZRo9erQSExPbBPOwsDAlJyervr6+zYJme/bskSRNnjzZHrillmHt06dPd/hNNjU1ad26dfLy8urR/ZLU0NCguro6+y+bzdajdgAAAAAAVw+HlxkfNmyYFi1apNzcXBUUFKi4uFhlZWWyWCzasWOHcnJytGDBAvvQ84KCAknSyJEjO2wvIiJCklRaWmo/VlRUJKllwbaOnu/t7d0u3Hdl586dKi0t1ezZs3s0H12SMjIylJ6ebn/t7++vKVOm9KgtAAAAAMDVoUd7exmNRsXFxdlDscVi0f79+5Wenq7KykqlpaVp9uzZkiSz2SxJWr16tVavXt1pm62LtElSTU2NpP/NIb9QQEBAt0O32WzWZ599psjISI0dO7Zb93Rk6tSpmjRpkv211WpVXl5ej9sDAAAAAFz5emVDbZPJpClTpshoNGrDhg06duyY/Vxzc7Mkafjw4V0uvBYSEtIbpbRTWFio+vp6nTt3TsuWLWtzrvULgT179ujYsWOKiIjQ9ddf32E7RqOxzf7jjY2NTqkXAAAAAHDl6JXQ3ap1gbLze61be6sTEhI6HWJ+IT8/P5nNZlVXVysoKKjd+aqqKodrq6ioUEVFRYfnzGazzGazvL29HW4XAAAAAIDOOBS6m5ubO1yhvNXZs2cltYTmVlFRUdq3b59ycnK6HbojIiJkNpt1+PBhJSUltTmXn5/v0HzusWPHdjqs/LPPPlN6erqmTZumqVOndrtNAAAAAAC6w6HVy7dt26bNmzfbw/X5KioqtGnTJklSbGys/XhcXJyCg4O1f/9+ZWRktBuW3djYqCNHjujMmTP2YwkJCZKkzMxMlZWV2Y9brVZt2bLFkZIBAAAAAHAZh3q6bTabsrKytGPHDgUHBys0NFRubm6qqqpSSUmJmpubNWjQIKWkpNjvcXNzU2pqqlasWKG0tDRlZWVp4MCB8vT0VHV1tcrLy1VXV6e5c+fatweLiIhQYmKidu7cqaVLlyo6OlpGo1HHjx9XQECAwsPDVVxc3LufBAAAAAAAvcyh0J2cnKxBgwYpPz9fp0+fVmFhoWw2m7y8vBQZGalRo0Zp/Pjxcnd3b3NfSEiIFi5cqJ07dyonJ8e+JZivr68iIyMVGxur6OjoNvfMmDFDwcHB2rVrlwoKCuTj46O4uDhNmzZNK1euvLR3DQAAAADAZeBQ6DaZTIqPj1d8fLzDD/L29lZKSkqbXvCuGAwGTZgwQRMmTHD4Wd3lSD0AAAAAADjKoTndAAAAAACg+wjdAAAAAAA4CaEbAAAAAAAncWhOd18xf/58V5cAAAAAAMBF0dMNAAAAAICTELoBAAAAAHASQjcAAAAAAE5iaG5ubnZ1Ef2RxWLRoUOHFD1ipHx8TK4uBwBwGRncrK4uoU/wrjW4ugQ1eHm5ugQAwFXKYrEoNzdXo0ePlsnUeSbslwup9SU+HkaZPPkYAeDq4u/qAvoGP1cXIHm4ugAAwFXLw6N7/y9EWrxE1voGydbg6jIAAJcRPd0t6OkGAFzN6uvru3UdofsSpeWVq85Q5eoyAACXkV/QMleX0CfM/jTQ1SXoSFKyq0sAAFylmpqaunUdC6kBAAAAAOAkhG4AAAAAAJyE0A0AAAAAgJMQugEAAAAAcBJCNwAAAAAATkLoBgAAAADASXq0ZVh+fr52796t4uJiWa1WeXp6ytfXV2FhYYqMjNTYsWPl7u7e27X2mNls1l/+8pdOz/v6+urb3/72ZawIAAAAAHA1cDh0b9u2Tdu3b5ckhYaGasiQITIYDKqoqFB2drays7M1YsQI+fn59Xqxl8rX11fDhg1rd9zLy8sF1QAAAAAArnQOhe6SkhJt375d7u7umjt3rmJiYtqcr66u1t69e2U09qgD3emCg4N12223uboMAAAAAMBVwqF0nJOTI0mKi4trF7glyd/fXykpKb1TGQAAAAAA/ZxDodtisUiSfHx8HH6QxWJRRkaG8vLyZDabZTQaFR4erqSkJEVGRnZ4z549e5SVlaXKykr5+PgoNjZW119/vT744AOdOHFCixcvVmBgoMO1AAAAAABwOTgUuv39/SVJR48eVVJSkkwmU7fuKy8v13vvvaeamhoNGDBAMTExslqtKiwsVEFBgebMmaMxY8a0uWfTpk3KzMyUu7u7oqKiZDQalZ2drZMnT/Z4kbZz585p27ZtOnfunLy8vDR48GCNHDmyTy36BgAAAAC4cjgUuseMGaOMjAxVVVXptddeU2xsrCIiIhQeHq7Q0FAZDIZ29zQ1NWnVqlWqqanRzJkzNXHiRPt1p06d0vLly7Vu3TpFRUXJ19dXklRUVKTMzEx5e3tr/vz5GjhwoCTJarVq2bJlOnXqVI/ebEVFhX0RuFYBAQG64447FB4e3qM2AQAAAADojEOhOygoSKmpqVq7dq1qamp04MABHThwQJJkMpkUHx+vpKQkeXt72+/Jzc1VWVmZRo8ercTExDbthYWFKTk5WRs3btTBgwc1efJkSS3DyiVp8uTJ9sAttQxrnz59ulasWOHQm3R3d9eECRMUFxenkJAQGY1GlZWVafv27Tp27JhWrFihhQsXdjlUvaGhQY2NjfbXNpvNoRoAAAAAAFcfh5cZHzZsmBYtWqTc3FwVFBSouLhYZWVlslgs2rFjh3JycrRgwQL70POCggJJ0siRIztsLyIiQpJUWlpqP1ZUVCSpZcG2jp7v7e2t2trabtfs5+enm266qc2xIUOGaN68eVqzZo2ys7P13//+V7fcckunbWRkZCg9Pd3+2t/fX1OmTOl2DQAAAACAq0+P9vYyGo2Ki4uzh2KLxaL9+/crPT1dlZWVSktL0+zZsyVJZrNZkrR69WqtXr260zZbF2mTpJqaGkn/m0N+oYCAAIdCd1emTp2q7Oxs5efnX/S6SZMm2V9brVbl5eX1Sg0AAAAAgCtTr2yobTKZNGXKFBmNRm3YsEHHjh2zn2tubpYkDR8+vMuF10JCQnqjFIcFBwdL+l/Q74zRaGyz//j5Q80BAAAAAOhIr4TuVkOHDpXUtte6tbc6ISGh0yHmF/Lz85PZbFZ1dbWCgoLana+qquqFalu09ph7enr2WpsAAAAAAEiSmyMXt/Zad+bs2bOSWkJzq6ioKElSTk5Ot5/TOs/78OHD7c7l5+f32tBySTpy5IiklkXdAAAAAADoTQ6F7m3btmnz5s32cH2+iooKbdq0SZIUGxtrPx4XF6fg4GDt379fGRkZ7YZlNzY26siRIzpz5oz9WEJCgiQpMzNTZWVl9uNWq1VbtmxxpGRJ0oEDBzrsHT9y5IjS0tIkSV/4whccbhcAAAAAgK44NLzcZrMpKytLO3bsUHBwsEJDQ+Xm5qaqqiqVlJSoublZgwYNUkpKiv0eNzc3paamasWKFUpLS1NWVpYGDhwoT09PVVdXq7y8XHV1dZo7d659e7CIiAglJiZq586dWrp0qaKjo2U0GnX8+HEFBAQoPDxcxcXF3a573759Wrt2rYKDgxUYGGjfMqyiokJSy9Zk539RAAAAAABAb3AodCcnJ2vQoEHKz8/X6dOnVVhYKJvNJi8vL0VGRmrUqFEaP3683N3d29wXEhKihQsXaufOncrJybFvCebr66vIyEjFxsYqOjq6zT0zZsxQcHCwdu3apYKCAvn4+CguLk7Tpk3TypUrHXqT48ePl8lk0unTp1VUVKSGhgaZTCbFxsZqwoQJ7Z4NAAAAAEBvcCh0m0wmxcfHKz4+3uEHeXt7KyUlpU0veFcMBoMmTJigCRMmOPysC1177bW69tprL7kdAAAAAAAc4dCcbgAAAAAA0H2EbgAAAAAAnITQDQAAAACAkzg0p7uvmD9/vqtLAAAAAADgoujpBgAAAADASQjdAAAAAAA4CaEbAAAAAAAn6ZdzuvuSaTEh8vExuboMAMBl9T1XF9An2B5wdQXScFcXAKBDBjfrZX+msdn7sj8TVzeLxaLc3NyLXkfovkQ+HkaZPPkYAQAAgP/xd3UBgNN5eHh06zrS4iWy1jdItgZXlwEAAAD0GfR042pQX1/fresI3ZcoLa9cdYYqV5cBAAAA9Bl+Qcsu+zOH1cy+7M/E1a2pqalb17GQGgAAAAAATkLoBgAAAADASQjdAAAAAAA4CaEbAAAAAAAnIXQDAAAAAOAkhG4AAAAAAJykR1uG5efna/fu3SouLpbVapWnp6d8fX0VFhamyMhIjR07Vu7u7r1da68oKCjQrl27dPLkSdXV1cnHx0fXXHONEhISNHLkSFeXBwAAAAC4gjgcurdt26bt27dLkkJDQzVkyBAZDAZVVFQoOztb2dnZGjFihPz8/Hq92Eu1ZcsWff7553J3d9eQIUPk6+ur6upqnThxQn5+foRuAAAAAECvcih0l5SUaPv27XJ3d9fcuXMVExPT5nx1dbX27t0ro7FHHehOtXv3bn3++ecaPHiw7rzzTgUEBNjP1dfX6+zZs64rDgAAAABwRXIoHefk5EiS4uLi2gVuSfL391dKSkrvVNaLamtrtWXLFnl6eio1NbVdL7yHh4cGDhzoouoAAAAAAFcqh0K3xWKRJPn4+Dj8IIvFooyMDOXl5clsNstoNCo8PFxJSUmKjIzs8J49e/YoKytLlZWV8vHxUWxsrK6//np98MEHOnHihBYvXqzAwMCLPvvQoUOy2WwaP358nxz2DgAAAAC4MjkUuv39/SVJR48eVVJSkkwmU7fuKy8v13vvvaeamhoNGDBAMTExslqtKiwsVEFBgebMmaMxY8a0uWfTpk3KzMyUu7u7oqKiZDQalZ2drZMnTzq8SFtBQYEkKTo6WufOndPBgwdVWVkpT09PDRkyRCNGjJCbGwu5AwAAAAB6l0Ohe8yYMcrIyFBVVZVee+01xcbGKiIiQuHh4QoNDZXBYGh3T1NTk1atWqWamhrNnDlTEydOtF936tQpLV++XOvWrVNUVJR8fX0lSUVFRcrMzJS3t7fmz59vH/pttVq1bNkynTp1yqE3WVZWJkmqqqrS3/72N9XV1bU5HxYWprvuusv+pQIAAAAAAL3Boe7doKAg+5xom82mAwcOaN26dXrzzTf18ssva/PmzaqtrW1zT25ursrKyjR69GglJia2CeZhYWFKTk5WfX29Dh48aD++Z88eSdLkyZPbzLX28fHR9OnTHX6TrSE7LS1NQUFBuu+++/Td735XCxYsUFhYmE6dOqVVq1apubm50zYaGhpUV1dn/2Wz2RyuAwAAAABwdXF4mfFhw4Zp0aJFys3NVUFBgYqLi1VWViaLxaIdO3YoJydHCxYssA89bx3a3dl2XBEREZKk0tJS+7GioiJJLQu2dfR8b2/vduG+K01NTZIko9GoefPm2WsbMmSI5s2bp9dee03FxcU6fvy4oqOjO2wjIyND6enp9tf+/v6aMmVKt2sAAAAAAFx9erS3l9FoVFxcnD0UWywW7d+/X+np6aqsrFRaWppmz54tSTKbzZKk1atXa/Xq1Z222bpImyTV1NRIUqfDvQMCAhwK3Z6enrJarRoxYkS7eei+vr6KiYnR4cOHVVhY2Gnonjp1qiZNmmR/bbValZeX1+0aAAAAAABXn17ZUNtkMmnKlCkyGo3asGGDjh07Zj/XOmR7+PDhXS68FhIS0huldCgwMFBms7nTlc5bj58f/C9kNBrb7D/e2NjYu0UCAAAAAK44vRK6Ww0dOlRS2/Da2ludkJDQ6RDzC/n5+clsNqu6ulpBQUHtzldVVTlUV1hYmAoLC2W1Wjs833rcw8PDoXYBAAAAAOiKQwupdbXQmCSdPXtWktrshR0VFSVJysnJ6fZzWud5Hz58uN25/Px8h4aWS9KIESMkSSdOnGj3HpqamuxzyAcNGuRQuwAAAAAAdMWh0L1t2zZt3rzZHq7PV1FRoU2bNkmSYmNj7cfj4uIUHBys/fv3KyMjo92w7MbGRh05ckRnzpyxH0tISJAkZWZm2rf7klp6pLds2eJIyZJaeuDDw8NVXl6u7du3tzmXnp6uiooKmUymbvfEAwAAAADQHQ4NL7fZbMrKytKOHTsUHBys0NBQubm5qaqqSiUlJWpubtagQYOUkpJiv8fNzU2pqalasWKF0tLSlJWVpYEDB8rT01PV1dUqLy9XXV2d5s6da98eLCIiQomJidq5c6eWLl2q6OhoGY1GHT9+XAEBAQoPD1dxcbFDb3TOnDl655139Nlnn+nQoUMKCQlRWVmZKioqZDQadfvtt8vT09OhNgEAAAAA6Iqh+WJjxs9jsVh07Ngx5efn6/Tp06qpqZHNZpOXl5cGDhyoUaNGafz48XJ3d293b21trXbu3KmcnBxVVlZKalk5PDQ0VLGxsRo1alSb0Nvc3Kw9e/Zo165dqqyslI+Pj0aMGKFp06Zp5cqVOnHihBYvXtzp4mgdqampUXp6uvLy8nTu3Dn5+Pho6NChSkpKarMfeHc/i0OHDum4IVh1BuaCAwAAAK38gpZd9mcOq5l92Z+Jq1tTU5Pq6+s1evToLhcNd6in22QyKT4+XvHx8Q4X5O3trZSUlDa94F0xGAyaMGGCJkyY4PCzOuPn56ebb76519oDAAAAAKArDs3pBgAAAAAA3UfoBgAAAADASQjdAAAAAAA4iUNzuvuK+fPnu7oEAAAAAAAuip5uAAAAAACchNANAAAAAICT9Mvh5X3JtJgQ+fh0vicbAAAAcLUxuC2+7M80Nntf9mfi6maxWJSbm3vR6wjdl8jHwyiTJx8jAAAA8D/+ri4AcDoPD49uXUdavETW+gbJ1uDqMgDApQxuVleXADiNd63B1SWgP/Hgvwt7U4Obr6tLADpVX1/fresI3ZcoLa9cdYYqV5cBAC7lF7TM1SUATjP700BXl4B+xG1ktqtLuKIcCX3Y1SUAnWpqaurWdSykBgAAAACAkxC6AQAAAABwEkI3AAAAAABOQugGAAAAAMBJCN0AAAAAADgJoRsAAAAAACchdAMAAAAA4CQ92qc7Pz9fu3fvVnFxsaxWqzw9PeXr66uwsDBFRkZq7Nixcnd37+1ae+w///mPDhw4cNHrHnnkEQUEBFyGigAAAAAAVwOHQ/e2bdu0fft2SVJoaKiGDBkig8GgiooKZWdnKzs7WyNGjJCfn1+vF9tTERERnZ6rqKhQcXGxAgIC5O/vfxmrAgAAAABc6RwK3SUlJdq+fbvc3d01d+5cxcTEtDlfXV2tvXv3ymjsUQe604wfP17jx4/v8NxHH32k4uJiXXvttTIYDJe5MgAAAADAlcyhdJyTkyNJiouLaxe4Jcnf318pKSm9U9llUFdXp9zcXEnStdde6+JqAAAAAABXGodCt8VikST5+Pg4/CCLxaKMjAzl5eXJbDbLaDQqPDxcSUlJioyM7PCePXv2KCsrS5WVlfLx8VFsbKyuv/56ffDBBzpx4oQWL16swMBAh2tpdeTIETU0NGjw4MEKCQnpcTsAAAAAAHTEodDdOuf56NGjSkpKkslk6tZ95eXleu+991RTU6MBAwYoJiZGVqtVhYWFKigo0Jw5czRmzJg292zatEmZmZlyd3dXVFSUjEajsrOzdfLkyV5bpC07O1uS2j0bAAAAAIDe4FDoHjNmjDIyMlRVVaXXXntNsbGxioiIUHh4uEJDQzucE93U1KRVq1appqZGM2fO1MSJE+3XnTp1SsuXL9e6desUFRUlX19fSVJRUZEyMzPl7e2t+fPna+DAgZIkq9WqZcuW6dSpU5f6vlVdXa3CwkK5ublp9OjRF72+oaFBjY2N9tc2m+2SawAAAAAAXNkcCt1BQUFKTU3V2rVrVVNTowMHDti34jKZTIqPj1dSUpK8vb3t9+Tm5qqsrEyjR49WYmJim/bCwsKUnJysjRs36uDBg5o8ebKklmHlkjR58mR74JZahrVPnz5dK1as6NGbPV92draam5s1fPhwe9jvSkZGhtLT0+2v/f39NWXKlEuuAwAAAABw5XJ4mfFhw4Zp0aJFys3NVUFBgYqLi1VWViaLxaIdO3YoJydHCxYssA89LygokCSNHDmyw/Zat/MqLS21HysqKpLUsmBbR8/39vZWbW2to6W3cfDgQUndX0Bt6tSpmjRpkv211WpVXl7eJdUAAAAAALiy9WhvL6PRqLi4OHsotlgs2r9/v9LT01VZWam0tDTNnj1bkmQ2myVJq1ev1urVqztts3WRNkmqqamRpE73zQ4ICLik0H3mzBmdOXNGnp6eGjFiRLfuMRqNbbZCO3+oOQAAAAAAHemVDbVNJpOmTJkio9GoDRs26NixY/Zzzc3NkqThw4d3ufDa5Vw9vHVI/KhRo+Th4XHZngsAAAAAuLr0SuhuNXToUElte61be6sTEhI6HWJ+IT8/P5nNZlVXVysoKKjd+aqqqh7X2NzcrEOHDklib24AAAAAgHO5OXJxa691Z86ePSupJTS3ioqKkiTl5OR0+zmt87wPHz7c7lx+fv4lDS0vLCxUdXW1/P397V8SAAAAAADgDA6F7m3btmnz5s32cH2+iooKbdq0SZIUGxtrPx4XF6fg4GDt379fGRkZ7eZCNzY26siRIzpz5oz9WEJCgiQpMzNTZWVl9uNWq1VbtmxxpOR2zl9AraMtzgAAAAAA6C0ODS+32WzKysrSjh07FBwcrNDQULm5uamqqkolJSVqbm7WoEGDlJKSYr/Hzc1NqampWrFihdLS0pSVlaWBAwfK09NT1dXVKi8vV11dnebOnWvfHiwiIkKJiYnauXOnli5dqujoaBmNRh0/flwBAQEKDw9XcXGxw2+2oaFBR44ckdSy5zgAAAAAAM7kUOhOTk7WoEGDlJ+fr9OnT6uwsFA2m01eXl6KjIzUqFGjNH78eLm7u7e5LyQkRAsXLtTOnTuVk5Nj3xLM19dXkZGRio2NVXR0dJt7ZsyYoeDgYO3atUsFBQXy8fFRXFycpk2bppUrV/bozebk5MhmsyksLKzN/t8AAAAAADiDQ6HbZDIpPj5e8fHxDj/I29tbKSkpbXrBu2IwGDRhwgRNmDDB4Wd1ZvTo0Ro9enSvtQcAAAAAQFccmtMNAAAAAAC6j9ANAAAAAICTELoBAAAAAHASh+Z09xXz5893dQkAAAAAAFwUPd0AAAAAADgJoRsAAAAAACfpl8PL+5JpMSHy8TG5ugwAcCmD22JXlwA4jfs9BleXgP7Eo8HVFVxRRrn5uroEoFMWi0W5ubkXvY7QfYl8PIwyefIxArja+bu6AMB5/FxdAHD18nB1AUAXPDy69yeUtHiJrPUNko1vNAEAOJ/BzerqEgBchbxrGZlyJWrw8nJ1CR2qr6/v1nWE7kuUlleuOkOVq8sAAKBP8Qta5uoSAFyFZn8a6OoS4ARHkpJdXUKHmpqaunUdC6kBAAAAAOAkhG4AAAAAAJyE0A0AAAAAgJMQugEAAAAAcBJCNwAAAAAATkLoBgAAAADASQjdAAAAAAA4SY/26c7Pz9fu3btVXFwsq9UqT09P+fr6KiwsTJGRkRo7dqzc3d17u9ZL0tTUpD179ujAgQMqLy9XQ0OD/Pz8FBUVpalTpyo4ONjVJQIAAAAArjAOh+5t27Zp+/btkqTQ0FANGTJEBoNBFRUVys7OVnZ2tkaMGCE/P79eL7anmpub9eGHHyo3N1ceHh6KiIiQp6enTp06pf379+vIkSO6++67NXjwYFeXCgAAAAC4gjgUuktKSrR9+3a5u7tr7ty5iomJaXO+urpae/fuldHYow50p8nNzVVubq4CAwO1YMEC+xcCzc3N2rRpk3bu3KnNmzdr/vz5Lq4UAAAAAHAlcWhOd05OjiQpLi6uXeCWJH9/f6WkpMjb27t3quslJ06ckCQlJCS06YE3GAz64he/KKnlCwUAAAAAAHqTQ13SFotFkuTj4+PwgywWizIyMpSXlyez2Syj0ajw8HAlJSUpMjKyw3v27NmjrKwsVVZWysfHR7Gxsbr++uv1wQcf6MSJE1q8eLECAwMv+uzu9Lz3tS8KAAAAAAD9n0M93f7+/pKko0eP2gN4d5SXl+vvf/+7MjMz1dTUpJiYGF1zzTUqLCzUsmXLlJ2d3e6eTZs26ZNPPlFlZaWioqIUHh6u7OxsLVu2TI2NjY6UrejoaEnS3r17VVNTYz/e3Nys9PR0SdLYsWMdahMAAAAAgItxqKd7zJgxysjIUFVVlV577TXFxsYqIiJC4eHhCg0NlcFgaHdPU1OTVq1apZqaGs2cOVMTJ060X3fq1CktX75c69atU1RUlHx9fSVJRUVFyszMlLe3t+bPn6+BAwdKkqxWq5YtW6ZTp0459CaHDh2qSZMmKTMzU3/961/bLKRWU1OjiRMnKiUlpcs2Ghoa2oR9m83mUA0AAAAAgKuPQ6E7KChIqampWrt2rWpqanTgwAEdOHBAkmQymRQfH6+kpKQ2Q7Vzc3NVVlam0aNHKzExsU17YWFhSk5O1saNG3Xw4EFNnjxZUsuwckmaPHmyPXBLLcPap0+frhUrVjj8RmfMmCF/f39t2bJF+fn59uPXXHONhg4dKje3rjv9MzIy7L3iUkuv/5QpUxyuAwAAAABw9XB4mfFhw4Zp0aJFys3NVUFBgYqLi1VWViaLxaIdO3YoJydHCxYskMlkkiQVFBRIkkaOHNlhexEREZKk0tJS+7GioiJJLQu2dfR8b29v1dbWdrvmhoYG/ec//9GRI0eUlJSkcePGydvbW6WlpdqwYYM+/PBD3XjjjZo4cWKnbUydOlWTJk2yv7ZarcrLy+t2DQAAAACAq0+P9vYyGo2Ki4uzh2KLxaL9+/crPT1dlZWVSktL0+zZsyVJZrNZkrR69WqtXr260zbPnyPeOu+6dQ75hQICAhwK3RkZGTp8+LASExN13XXX2Y9HRUVp3rx5ev3117V161aNGTOm00XijEZjmwXZHJ1XDgAAAAC4+vTKhtomk0lTpkyR0WjUhg0bdOzYMfu55uZmSdLw4cPtvd8dCQkJ6Y1SOnTw4EFJ0qhRo9qdCwgIUHh4uI4fP67S0lINGzbMaXUAAAAAAK4uvRK6Ww0dOlRS217r1t7qhISEToeYX8jPz09ms1nV1dUKCgpqd76qqsqhuqqrqyVJXl5eHZ5vPW61Wh1qFwAAAACArji0ZVhrr3Vnzp49K6klNLeKioqSJOXk5HT7Oa3zvA8fPtzuXH5+vkNDyyXZV0UvKSlpd66pqcm+Gnp39vwGAAAAAKC7HArd27Zt0+bNm+3h+nwVFRXatGmTJCk2NtZ+PC4uTsHBwdq/f78yMjLazYVubGzUkSNHdObMGfuxhIQESVJmZqbKysrsx61Wq7Zs2eJIyZL+t4jbZ599poqKCvvxpqYmpaWlyWw2KyAgQIMHD3a4bQAAAAAAOuPQ8HKbzaasrCzt2LFDwcHBCg0NlZubm6qqqlRSUqLm5mYNGjSozZ7Xbm5uSk1N1YoVK5SWlqasrCwNHDhQnp6eqq6uVnl5uerq6jR37lz79mARERFKTEzUzp07tXTpUkVHR8toNOr48eP2OdjFxcXdrvuLX/yi8vPzVVFRoTfffFNDhgyRt7e3Tp8+rbNnz8poNOrWW2+96LZhAAAAAAA4wqHQnZycrEGDBik/P1+nT59WYWGhbDabvLy8FBkZqVGjRmn8+PFyd3dvc19ISIgWLlyonTt3Kicnx74lmK+vryIjIxUbG6vo6Og298yYMUPBwcHatWuXCgoK5OPjo7i4OE2bNk0rV6506E36+Pjo/vvvV2Zmpo4ePaqSkhI1NjbKz89P8fHxmjJlikJDQx1qEwAAAACAi3EodJtMJsXHxys+Pt7hB3l7eyslJaVNL3hXDAaDJkyYoAkTJjj8rI54eXk59HwAAAAAAC4V46kBAAAAAHASQjcAAAAAAE5C6AYAAAAAwEkcmtPdV8yfP9/VJQAAAAAAcFH0dAMAAAAA4CSEbgAAAAAAnKRfDi/vC5qamiRJns0NLq4EAIC+x6PBz9UlALgKWXx8XF0CnKA1e/U1zc3Nki5eH6G7h+rq6iRJg1UlNbu4GAAA+hrzZFdXAOAqlDPa1RXAKerrXV1Bl+rq6uTn1/mXzYbm1ngOhzQ0NMhsNsvLy0tubozSBwAAAICrSVNTk+rq6hQYGCijsfP+bEI3AAAAAABOQhctAAAAAABOQugGAAAAAMBJCN0AAAAAADgJoRsAgF7yySefaNasWVqwYIGrS7kqPf/885o1a5aef/75HrexYMECzZo1S5988kkvVgYAuJqxZRgA4Io1a9asHt/7gx/8QDfffHMvVtM/lZaW6r777mt33M3NTb6+voqIiNCkSZP0pS99SYGBgS6osHs++eQTnTp1SuPHj9f48eNdXQ4A4CpC6AYAXLGCgoI6PG61WlVbW9vlNV5eXk6rq78ymUz2z6WhoUHV1dU6dOiQDh06pNWrV+vZZ5/VqFGjXFZfSEiIIiMjFRIS0u7c+vXrtW/fPknqMnQPHjxYnp6e8vX1dVqdAICrC6EbAHDFWrFiRYfH//GPf+jtt9/u8hq0981vfrNN7391dbVWr16td955R2fPntUvf/lLLV26VJ6eni6p76GHHtJDDz10SW389re/7aVqAABowZxuAADQI/7+/rr33nv11a9+VZJ05swZbd++3cVVAQDQt9DTDQBAB3Jzc/XBBx9o3759qqyslJeXl4YOHapp06Zpzpw5PerNLS0t1ZNPPqmioiKNGDFCzz33XJvh7RUVFVq5cqUyMzNVWlqq+vp6hYSEKCEhQV/+8pcVFRXVrs29e/fqBz/4gSTp008/1cmTJ7Vs2TLt2rVLZ8+eVWBgoCZNmqT7779foaGhPf9AunDjjTfqn//8pyTpyJEjuuGGG+znbDab/v3vfystLU2FhYWqq6tTUFCQxo0bp7vuuksjRozosM3GxkatW7dOmzZtUkFBgc6dOyeTyaTAwEDFxMQoMTFRt9xyS5t7nn/+eX366aeaNWuWnnjiCUktc7lfeOEF+zVvv/22fZTD+ccGDRokqWUhtVOnTnU6p7+xsVGffvqpNm7cqGPHjslqtSogIEBjxozRHXfc0enQ9ccff1z79u3Tfffdp/vuu08ff/yxPv74YxUWFqq5uVnR0dH60pe+pBtvvPEinzYAoL8hdAMAcIGVK1fqL3/5i5qbmyVJvr6+qq2tVXZ2trKzs/XJJ5/oueee63DucGfy8vL01FNPqaKiQhMmTNCSJUtkMpns5zMyMvTcc8/JarVKkoxGo4xGo0pLS7Vu3Tpt3LhR3/ve97pcHG7Pnj36+c9/LqvVKpPJpKamJpWVlenjjz/Wjh079PLLLzsleJ/fpsVisf9cVlamJ598UgUFBfb35OXlpdOnT2vDhg3atGmTHnnkEd15551t2mtsbNRTTz2lXbt22Y+1/h5UV1erqKhIaWlp7UJ3R7y8vBQUFKTq6mo1NDTI29tbPj4+ba5xc+vewL9z587pF7/4hfbu3Wu/z2QyqaKiQtu2bdO2bds0b948feMb3+i0jaamJi1ZskTbt2+Xu7u7vLy8ZLVa7XPjT548qQceeKBb9QAA+gdCNwAA58nIyNCf//xnSVJycrIWL16swYMHq76+Xlu2bNHLL7+sY8eO6emnn9bvf/97ubu7X7TNPXv26Be/+IUsFotuuOEGPfHEE/Lw8LCfP3z4sJ5++mnV19frtttuU2pqqoYMGSJ3d3edPn1a7733ntasWaPf/e53Gjp0aKeLlT399NNKSEjQww8/rKFDh6q+vl7bt2/X73//e5WXl+uNN97Qj370o975oM5z6tQp+8/+/v6SWoLzL3/5SxUUFMjX11ePPvqorr/+enl4eKikpESvvvqqMjIy9Morryg8PFyTJ0+2t7F582bt2rVLnp6e+va3v60bbrhBPj4+am5u1tmzZ3Xw4EFt2rSpW7XdcMMNuuGGG+w9zfPmzdP999/fo/f5u9/9Tnv37pWHh4e+8Y1v6JZbbpG3t7cqKir097//XevWrdP777+vwYMH6/bbb++wjdWrV6upqUk//OEPNW3aNHl5eenMmTN66aWXlJGRoXfffVczZ85UREREj2oEAPQ9zOkGAOA8r7/+uiQpPj5eP//5zzV48GBJkoeHh2bNmqUf//jHkqTs7Gylp6dftL20tDQ99dRTslgsSk1N1VNPPdUmcEvSyy+/rPr6et1777367ne/q6FDh9rD/DXXXKPHHntMd955pxobG/Xuu+92+qyYmBgtWbJEQ4cOtdc8bdo0LVy4UJK0bds2NTY2OviJXNzq1avtP48ePdr+rMOHD0uSfvKTn2jmzJn29z148GAtWbJEcXFxkqS//e1vbdrLzs6W1LLl2+zZs+090waDQUFBQUpJSdHPf/7zXn8fXTl8+LC2bdsmSfrWt76lO++8U97e3pKk4OBgPf7447ruuuskSW+99ZZsNluH7VRXV2vJkiW66aab7CvBDxw4UD/72c8UEhKipqYmpaWlXYZ3BAC4XAjdAAD8n2PHjun48eOSpHvvvbfDXuykpCR7WNy8eXOX7X344Yf6f//v/6mhoUEPPfSQHnnkERkMhjbX5OXl6ciRIzIajZo3b16nbbUOK9+1a1enwfmee+7pcKh0cnKyJKmurk5FRUVd1txd9fX1On78uF555RX9+9//liQNGTJEU6dOlSRt2bJFkjRmzBhNmjSp3f3u7u72/b8LCgqUn59vP9e6XVdFRUWv1NobWt/PwIEDNXv27A6vaR0WbjablZWV1eE11157rRISEtod9/T0VGJioiS1+SwAAP0fw8sBAPg/R48eldQSCMeNG9fpdV/4whd0+PBh+/UdeeONN/Tee+/J3d1djz/+eKdzsQ8cOCCpZa5va490R5qamiRJtbW1qqqq6nB/8dYvAy50/tzz6urqTp9xMS+88EKbRcnON2jQID399NP2LypaP5sJEyZ02l5CQoLc3NzU1NSkI0eOaNiwYZKkKVOmaPny5frvf/+rp556SjfeeKPGjRvntIXguqP1/YwfP77TOeBRUVEKDQ1VWVmZjh49qqSkpHbXdPZ7JP3v9+lSfo8AAH0PoRsAgP9z9uxZSVJgYGCXq5O3hr/W6y906tQpvffee5Ja9o7uavGz8vJySS2hurKyslt11tXVdXj8/IXZznd+j/2lDC83mUz2IdGti4hFRERo0qRJuvHGG9ssUNb62XQVlD09PRUYGKjKyso2n2V8fLwefvhhLV26VJmZmcrMzJTU0ss8YcIEzZo1q8PeYmfqzvtpPV9WVtbpn43Ofo+k//0+NTQ09KhGAEDfROgGAKCHLhwq3io4OFhRUVHavXu3/vnPfyo+Pt4+1/lCrT3YkZGRevPNN51Wa2/45je/2eE2Wl3p7DO62HVf+cpXNGPGDG3dulX79u3TwYMHdebMGa1fv17r16/Xddddp6eeekpGY9/8T5nuvm8AwJWPOd0AAPyfAQMGSGqZk9vZQlhSy1ZYUkuPeEc8PDz0zDPPaOLEiTp37px+/OMf2xcHu1BwcLCklj28W7cLuxK0fpZnzpzp9BqbzaaqqipJHX+WoaGhSk1N1ZIlS/T+++/rr3/9q30+9bZt27RmzZreL7wT3Xk/0sX/bAAArj6EbgAA/k9sbKykliHY+/bt6/S61v2jO9u6S2rZH/rpp5/WpEmTZLFY9OSTT9rnb5/v2muvldSyMFl3VkPvL1o/y927d3d6zd69e+3D3bv6LFsNGzZM3//+9+2f2fn7eF9M6zzs1r3XHdX6fvbu3WsfnXChwsJCe+juzvsBAFwdCN0AAPyf4cOHKyoqSpL07rvvdjj/+fPPP7dvhTV9+vQu2/P09NSSJUs0depUWSwWPfXUU+3CfGxsrEaMGCFJ+vvf/97pXOBWrT3DfV3rZ5Odna2dO3e2O9/Y2Kh33nlHkhQdHW1fRE1Sl6MMJLWZV95drXOpa2pqun3P+W644QZJLT3ZH3/8cYfXvPXWW5Jaerm/8IUv9Og5AIArD6EbAIDzPPzww5Kk/fv365lnnlFJSYmklsWtNm7cqOeee05Sy1ZYrVtxdcXT01M///nPlZycLKvVqp/85Cfas2eP/bzBYNB3vvMdeXh46PTp03r00Ue1detW1dbW2q8pKyvThg0b9KMf/ci+j3hfl5KSYl+p+9lnn9WmTZvsC4SVlJTol7/8pX3I/de//vU29y5ZskQvvPCCduzY0SYkV1VV6Z///Ke993zy5Mndric6OlqStGPHDntvtCPi4uLs+3C/8sorWrVqlf33qKKiQr///e+1detWSS1bh3W1EB8A4OrSN1cfAQDARaZOnarFixfrtddeU3p6utLT0+Xn56e6ujrV19dLahnm/LOf/azDfbw74uHhoZ/97Gf6f//v/+mzzz7TT3/6Uz399NP23tC4uDg988wzeu6551RaWqpnnnlGbm5u8vPzk81maxPAO9sjuq9xd3fXL37xCz355JMqKCjQr371K73wwgvy8vKyB2k3NzctXry4XXiuq6vTJ598ok8++UTS/3qpLRaL/ZrrrrvOoc9i1qxZ+te//qXi4mLde++9bVao/8Mf/qCBAwdetI3HH39cZrNZ+/bt0yuvvKK//OUvMplMqqmpsQ9bnzdvnm6//fZu1wUAuPIRugEAuMBdd92lcePG6YMPPtC+fft09uxZeXp6asSIEZo2bZpuv/12h3syjUajfvrTn+pXv/qV0tLS9LOf/Uy//OUvlZiYKEmaOHGi3nrrLf373//W559/ruPHj6umpkZeXl6KiorS6NGjlZycrIkTJzrjLTtFaGioXnnlFa1Zs0ZpaWkqLCxUXV2dBg4cqPHjx+uuu+6yD60/37e//W3t2LFD+/bt08mTJ1VZWSmbzaaQkBDFxsZq1qxZ9l7n7oqIiNBvf/tbvffeezp8+LCqqqrs0we6u42ar6+vnn/+eX366afasGGDjh07JqvVqqCgIF177bW64447NH78eIfqAgBc+QzNPV1RBAAAAAAAdIk53QAAAAAAOAmhGwAAAAAAJyF0AwAAAADgJIRuAAAAAACchNANAAAAAICTELoBAAAAAHASQjcAAAAAAE5C6AYAAAAAwEkI3QAAAAAAOAmhGwAAAAAAJyF0AwAAAADgJIRuAAAAAACchNANAAAAAICTELoBAAAAAHASQjcAAAAAAE5C6AYAAAAAwEkI3QAAAAAAOAmhGwAAAAAAJyF0AwAAAADgJIRuAAAAAACchNANAAAAAICTELoBAAAAAHASQjcAAAAAAE5C6AYAAAAAwEkI3QAAAAAAOAmhGwAAAAAAJyF0AwAAAADgJIRuAAAAAACchNANAAAAAICTELoBAAAAAHASQjcAAAAAAE5C6AYAAAAAwEmMri4AANC1hoYGNTQ0uLoMAOg3jEajjEb+MxdA38C/RgDQR1ksFpWVlencuXOuLgUA+h1fX1+FhobKZDK5uhQAVzlDc3Nzs6uLAAC0ZbPZlJ+fLw8PDwUHB8vLy0sGg8HVZQFAn9fc3Ky6ujpVVFSovr5ew4YNk6enp6vLAnAVI3QDQB9UVFSk2tpaDRs2TO7u7q4uBwD6ncbGRuXn58vb21sRERGuLgfAVYyF1ACgj2lubpbFYlFgYCCBGwB6yN3dXYGBgbJYLKKPCYArEboBoI+pr69XY2OjfHx8XF0KAPRrPj4+amxsVH19vatLAXAVI3QDQB/T1NQkSfRyA8Alav13tPXfVQBwBUI3APRRLJwGAJeGf0cB9AWEbgAAAAAAnITQDQAAAACAkxC6AQD9yrlz5/SHP/xB06dPV1hYmDw9PRUUFKSkpCT9/Oc/V2FhoatLBLrNYDC0+eXm5qYBAwbouuuu0+uvv+7UVbe3bNkig8Ggr33ta92+p6CgQAaDQTfccEOb40uXLpXBYNCSJUt6tUYAuBIYXV0AAKBnlu0uanfML2hZu2OzPw1sd8xtZHa7Y1nVizp8zqRxf2x3bHnts+2OlV7zbrtj3wn6Todt9lRGRoZSU1NVUlIik8mkqVOnKiwsTGazWZmZmcrIyNDzzz+vf//737rxxht79dldueGGG5SWlqb8/HxFR0dftuf21TouxYEDB1xdQrfEx8f3ansPPPCApJa9pfPy8pSenq7PPvtMGzdu1LJl7f9eAwD6D0I3AKBf2Ldvn2bMmCGr1aof/ehH+tnPfiZfX1/7+aamJq1atUpPPPGEiorafyEB9GVLly5t8/rTTz/Vrbfeqvfee0/33nuv5syZ45rCumnu3LmaOnWqQkNDXV0KAPQ5DC8HAPR5zc3NWrBggaxWq5YsWaJf//rXbQK3JLm5uSk1NVVZWVlKTEx0UaVA75g1a5buu+8+SdKqVatcW0w3BAYGKi4ujtANAB0gdAMA+rxPPvlE+/fvV0REhH7yk590eW1gYGCbob8Wi0XPPPOM4uPj5ePjo8DAQF1//fV67733Orw/Ojravs3Q66+/rnHjxsnHx0eDBg3SokWLdPbsWfu1rfNb09LSJEnDhg1rMz/3fM3NzXrrrbd0/fXXa8CAAfLx8dG4ceP0wgsvqL6+/rLVgf5jwoQJkqQTJ05Iks6ePas//elPuvnmmxUVFSUvLy+FhITolltu0aefftppOwUFBbrnnnsUEhIiPz8/JScn6z//+U+Xzy4rK9OiRYs0aNAgmUwmTZgwQf/4xz86vb6zOd1f+9rXZDAYtGXLFm3dulUzZsyQv7+/AgICdNtttyk7u/1UF0mqqanRD37wA0VGRsrHx0djxozRSy+9pObmZhkMhn47fQLA1Ynh5QCAPq81IMybN09GY/f/r6u6ulrTp09XVlaWBg4cqDlz5ujcuXPatGmTtm3bpoyMDP3xj3/s8N4nnnhCL774oiZNmqRbbrlF27dv11//+lcdOnRIaWlpMhgM8vPz0wMPPKB169bp1KlTuuuuu+Tn59euraamJt199916//33FRAQoEmTJsnPz0+ff/65fvjDH2rz5s1as2aN3Nzafxfem3Wgf6murpYkeXl5SWpZ0+Cxxx5TZGSkYmNjlZSUpMLCQq1fv17r16/X66+/rgcffLBNG3l5eUpOTtbp06cVGxurL3zhC8rPz9ftt9+uxYsXd/jc8vJyffGLX9TRo0cVERGhL33pSyotLdXChQs7vedi1qxZoxdffFHx8fG6+eabtX//fq1du1aff/65Dhw4oEGDBtmvra2t1cyZM7Vjxw7739uamhr98Ic/VF5eXo+eDwCuROgGAPR5u3fvliR94QtfcOi+p556SllZWbrxxhv14Ycf2oPo4cOHNW3aNL344ou66aabdOutt7a795133tHnn3+uhIQESS09f0lJSdq2bZs2b96sGTNmKDQ0VEuXLtUNN9ygU6dO6YUXXuiwB+6FF17Q+++/r1mzZumf//ynBg4cKKllJfZ77rlHa9as0Z///Gd961vfcmod6D+am5v173//W5I0btw4SdKoUaOUnp6u5OTkNtfu3r1bM2bM0Pe+9z195StfafOFyze/+U2dPn1a3/zmN/WnP/3J/sXO66+/rq9//esdPvupp57S0aNHdccdd2j58uX20P/xxx/rS1/6Uo/ezx//+Ee98847uueeeyS1LBj31a9+VR988IFeffVVPf300/ZrX3jhBe3YsUNJSUlat26dAgICJLWs63DhqukA0B8wvBwA0OeVl5dLkj2sdse5c+f0xhtvyM3NTa+++mqbIBIXF6ef/vSnkqSXXnqpw/ufeeYZe9CVpNDQUD3yyCOSpK1bt3a7joaGBv32t7+Vv7+/3n333TbvwdfXV3/729/k5eWl1157zal1oH9obGxUTk6OHnzwQf33v/+Vl5eXFi5cKKll2sCFgVtqGYb+rW99S1VVVdq8ebP9eF5entavX6+goCA9//zzbUZSPPzwwx22VVNTo7fffltGo1EvvfSSPXBL0uzZszVv3rweva/58+fbA7ckubu766mnnpLU/s9x69+F3//+9/bALbV8+fDoo4/26PkA4Er0dAMA+rye7FWclZUlq9WqqVOnauTIke3O33fffXrssceUnp5unyd6vptuuqndPbGxsZKkkpKSbtexe/dulZWVafbs2R0uMhUWFqaRI0fqwIEDslqt8vHxcUod6Ns6mnvv7++vt956SzExMfZjjY2N2rhxo7Zv367S0lLV1tZKknJyctr8rySlp6dLkm699dZ2Cw9K0t13363t27e3ObZr1y5ZrVZ98Ytf1NChQ9vdc8899/RoC7Pu/jkuLCxUUVGRIiIiNHXq1Hb3zJs3r02vOAD0B4RuAECfFxoaqiNHjujMmTPdvqe4uFiSOh1mPWDAAAUGBspsNquqqkqBgW33M4+IiGh3T2tveV1dXbfrKCgokNQyNPdii5pVVFRoyJAhTqkDfVvrPt1ubm4KCAjQ2LFjlZqaqqCgIPs1RUVFmjNnjvbu3dtpO63zwKX//R3oKDx3drwn93RHd/8ctz4/MjKyV58PAK5E6AYA9HkJCQlKT0/Xrl27tGDBAofu7c7q3R1d01urfjc2NkqSRo4c2eFw3vOdP5S3t+tA33bhPt0defjhh7V3716lpqbqRz/6kUaNGiV/f3+5ubnpr3/9qxYtWtRmVEjrz478GerJPd3haHv8uQdwJSF0AwD6vNtuu02vvPKK3n//fT3//PPdWsE8PDxckpSfn9/hebPZLLPZLF9fX/n7+/dqvedr7eGLj4/vVrACOnLu3Dl9+umnCgsL04oVK+Tu7t7m/LFjx9rd0/p34Pjx4x22WVhY2Cv39KbBgwd3+RxnPx8AnIGF1AAAfd4tt9yia6+9VkVFRfp//+//dXltVVWVDh48qIkTJ8rHx0c7duxoM8+11TvvvCNJSklJueReNU9PT0kti6ZdaNKkSQoMDNTmzZtVVVV1Sc+5lDrQv5nNZjU1NWnw4MHtAndDQ4M+/PDDdvd88YtflCStXbtW586da3e+o73qJ06cKG9vb33++ef2/cEvdk9vioqKUnh4uIqKivT555+3O/+vf/3Lqc8HAGcgdAMA+jyDwaB33nlH3t7eWrJkiZ588sl2IaK5uVmrV69WYmKiMjMz5evrqwcffFBNTU361re+1eb6o0eP6tlnn5WkXlkNubV38MiRI+3OeXl56Qc/+IHOnj2ru+66q8MexH379mn58uVOrQP92zXXXKPAwEAdOHDAvkCa1DJ94YknntDRo0fb3TNixAjNnDlTlZWV+vGPf6ympib7ub///e/tFlGTWuZZ33vvvWpoaNB3vvOdNvOt169frxUrVvTyO2tv0aJFkqTHH3+8zRz1AwcO6E9/+pPTnw8AvY3QDQDoFxISErRhwwaFhYXp17/+ta655hrdeOONuvfeezVnzhwNHjxYd9xxh06cOGFfhOlXv/qVJk6cqE8//VTDhw/XV77yFd12220aP368SktL9dhjj+m222675Npa9y6eP3++5s2bp4cfflgPP/yw/fxTTz2le+65Rxs2bNCoUaOUnJysu+++WzfeeKOGDx+u8ePH92hFaEfrQP9lNBr1xBNPqKGhQdOmTdNNN92ku+++WyNGjNBf/vKXDvd4l6Q///nPGjhwoF5++WWNGTNG8+fPV1JSkh566CEtXry4w3t+/etfa8SIEfrwww81cuRI3XPPPZoxY4Zmz57d6d7evemHP/yhEhMTlZ6erpiYGH3lK1/RrbfeqsTERM2fP1/S/0Z1AEB/QOgGAPQbX/ziF5Wbm6sXXnhBkyZN0r59+7RixQqlp6crOjpav/jFL5STk6OZM2dKatlyKS0tTb/85S8VGhqq1atXa9u2bUpMTNS7776rF198sVfqSk1N1R/+8AdFRERozZo1euONN/TGG2/Yz7u5uendd9/Vv/71L02fPl05OTlauXKlsrOzFRYWpiVLlug3v/mN0+tA//bUU0/prbfe0rhx45Senq4NGzZo/PjxysjIUGJiYof3jBw5UhkZGfrKV76i06dP66OPPlJzc7NWrVqlr371qx3eExoaqvT0dD388MOqq6vTqlWrVF5err/97W964oknnPkWJUk+Pj7auHGjvve978nT01MfffSRjh07pueee04/+tGPJEkhISFOrwMAeouhuSebnwIAnKa2tlb5+fkaNmyYvL29XV0OAPQZy5cv1913363Fixfrz3/+80Wv599TAH0BPd0AAADoU/bs2dNmDrok7d+/397T3jrMHAD6A7YMAwAAQJ9y9913q6qqSmPHjlVQUJAKCgq0c+dONTY2avHixbruuutcXSIAdBuhGwAAAH3Ko48+qvfee0979uxRZWWlTCaTkpOT9dBDD+mBBx5wdXkA4BDmdANAH8McRADoHfx7CqAvYE43AAAAAABOQugGAAAAAMBJCN0AAAAAADgJoRsA+iiW3ACAS8O/owD6AkI3APQx7u7ukqT6+noXVwIA/Vvrv6Ot/64CgCsQugGgj/Hw8JCXl5fMZjO9NADQQ83NzTKbzfLy8pKHh4erywFwFWPLMADog6qqqnTy5En5+fkpMDBQHh4eMhgMri4LAPq85uZm1dfXy2w2q6amRkOGDFFAQICrywJwFSN0A0AfVVVVpbKyMtXV1bm6FADod7y8vBQaGkrgBuByhG4A6OPq6+vV2Njo6jIAoN9wd3dnSDmAPoPQDQAAAACAk7CQGgAAAAAATkLoBgAAAADASQjdAAAAAAA4CaEbAAAAAAAnIXQDAAAAAOAkhG4AAAAAAJyE0A0AAAAAgJP8fxP0o/31WWQWAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "max_length = 2048\n",
    "batch = [\n",
    "    [528, 342, 715],\n",
    "    [736, 274, 62, 155, 516, 86, 145, 73],\n",
    "    [495, 51, 148, 503, 99, 267, 337],\n",
    "    [1065, 63, 71, 106, 195, 175, 181, 48],\n",
    "    [872, 150, 75],\n",
    "    [1622, 66],\n",
    "    [736, 418, 317, 192],\n",
    "    [1038, 652, 268],\n",
    "]\n",
    "\n",
    "vis = np.zeros((len(batch), max_length), dtype=int)\n",
    "for i, sample in enumerate(batch):\n",
    "    pos = 0\n",
    "    for j, seg_len in enumerate(sample):\n",
    "        vis[i, pos:pos + seg_len] = j + 1\n",
    "        pos += seg_len\n",
    "\n",
    "colors = [PADDING_COLOR] + SEGMENT_COLORS\n",
    "n_unique = len(np.unique(vis))\n",
    "cmap = mcolors.ListedColormap(colors[:n_unique])\n",
    "\n",
    "fig, ax = plt.subplots(figsize=FIGSIZE)\n",
    "ax.imshow(vis, aspect=\"auto\", cmap=cmap, interpolation=\"nearest\", vmin=0, vmax=n_unique - 1)\n",
    "\n",
    "ax.set_yticks(np.arange(len(batch)))\n",
    "ax.set_yticklabels([f\"Seq {i+1}\" for i in range(len(batch))], fontsize=TICK_FS)\n",
    "ax.set_xticks([])\n",
    "ax.set_xlabel(\"Token Position\", fontsize=LABEL_FS)\n",
    "ax.set_title(\"Naive Packing\", fontsize=TITLE_FS, pad=12)\n",
    "_style_packing_ax(ax)\n",
    "\n",
    "for y_pos in np.arange(0.5, len(batch) - 0.5):\n",
    "    ax.axhline(y_pos, color=\"white\", linewidth=2)\n",
    "\n",
    "rainbow_patch = mpatches.Patch(label=\"Content\")\n",
    "padding_patch = mpatches.Patch(facecolor=PADDING_COLOR, label=\"Padding\")\n",
    "ax.legend(\n",
    "    handles=[rainbow_patch, padding_patch],\n",
    "    handler_map={rainbow_patch: RainbowPatchHandler(SEGMENT_COLORS[:8])},\n",
    "    **LEGEND_KW\n",
    ")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"naive_packing.png\", dpi=300, bbox_inches=\"tight\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a7377137-c4d3-4f56-a0dc-0cc5c8aeaf93",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c3d45e80a3394a40863555eb9fe7e8f8",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Resolving data files:   0%|          | 0/10000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning: You are sending unauthenticated requests to the HF Hub. Please set a HF_TOKEN to enable higher rate limits and faster downloads.\n"
     ]
    }
   ],
   "source": [
    "from datasets import load_dataset\n",
    "from transformers import AutoTokenizer\n",
    "\n",
    "dataset = load_dataset(\"HuggingFaceM4/FineVisionMax\", split=\"train\", streaming=True)\n",
    "tokenizer = AutoTokenizer.from_pretrained(\"HuggingFaceTB/SmolLM2-135M-Instruct\")\n",
    "\n",
    "def tokenize_sample(sample):\n",
    "    messages_list = []\n",
    "    for data_dict in sample['texts']:\n",
    "        messages_list.append({'role': 'user', 'content': data_dict['user']})\n",
    "        messages_list.append({'role': 'assistant', 'content': data_dict['assistant']})\n",
    "    tokens = tokenizer.apply_chat_template(messages_list, tokenize=True)\n",
    "    return tokens['input_ids']\n",
    "\n",
    "pool_tokens = []\n",
    "pool_size = 50\n",
    "for sample in dataset:\n",
    "    toks = tokenize_sample(sample)\n",
    "    if len(toks) <= max_length:\n",
    "        pool_tokens.append(toks)\n",
    "        if len(pool_tokens) >= pool_size:\n",
    "            break\n",
    "\n",
    "pool_tokens.sort(key=len, reverse=True) # Sort by length descending\n",
    "\n",
    "batch_tokens = []\n",
    "for toks in pool_tokens:\n",
    "    placed = False\n",
    "    # Try to place in an existing row\n",
    "    for row_idx, row in enumerate(batch_tokens):\n",
    "        curr_len = sum(len(seg) for seg in row)\n",
    "        if curr_len + len(toks) <= max_length:\n",
    "            batch_tokens[row_idx].append(toks)\n",
    "            placed = True\n",
    "            break\n",
    "    if placed:\n",
    "        continue\n",
    "    # Could not place in any existing row, start a new row if possible\n",
    "    batch_tokens.append([toks])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "2e1d64ea-67f6-4c81-8125-895eddfdac91",
   "metadata": {},
   "outputs": [],
   "source": [
    "from typing import List\n",
    "\n",
    "def to_vis_matrix(batch_lengths: List[List[int]], max_length: int):\n",
    "    import numpy as np\n",
    "    vis = np.zeros((len(batch_lengths), max_length), dtype=int)\n",
    "    for i, row in enumerate(batch_lengths):\n",
    "        pos = 0\n",
    "        for j, seg_len in enumerate(row):\n",
    "            vis[i, pos:pos+seg_len] = j + 1\n",
    "            pos += seg_len\n",
    "    return vis\n",
    "\n",
    "batch_lengths = [[len(x) for x in y] for y in batch_tokens]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "38f9e538-e8e8-42e5-9b97-9720dc98b7f3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_knapsack(batch_lengths, max_length, title):\n",
    "    \n",
    "    vis = to_vis_matrix(batch_lengths, max_length)\n",
    "    \n",
    "    n_unique = len(np.unique(vis))\n",
    "    cmap = mcolors.ListedColormap(colors[:n_unique])\n",
    "    \n",
    "    n_rows = len(batch_lengths)\n",
    "    fig, ax = plt.subplots(figsize=FIGSIZE)\n",
    "    ax.imshow(vis, aspect=\"auto\", cmap=cmap, interpolation=\"nearest\", vmin=0, vmax=n_unique - 1)\n",
    "    \n",
    "    ax.set_yticks(np.arange(n_rows))\n",
    "    ax.set_yticklabels([f\"Seq {i+1}\" for i in range(n_rows)], fontsize=TICK_FS)\n",
    "    ax.set_xticks([])\n",
    "    ax.set_xlabel(\"Token Position\", fontsize=LABEL_FS)\n",
    "    ax.set_title(title, fontsize=TITLE_FS, pad=12)\n",
    "    _style_packing_ax(ax)\n",
    "    \n",
    "    for y_pos in np.arange(0.5, n_rows - 0.5):\n",
    "        ax.axhline(y_pos, color=\"white\", linewidth=2)\n",
    "    \n",
    "    rainbow_patch = mpatches.Patch(label=\"Content\")\n",
    "    padding_patch = mpatches.Patch(facecolor=PADDING_COLOR, label=\"Padding\")\n",
    "    ax.legend(\n",
    "        handles=[rainbow_patch, padding_patch],\n",
    "        handler_map={rainbow_patch: RainbowPatchHandler(SEGMENT_COLORS[:8])},\n",
    "        **LEGEND_KW\n",
    "    )\n",
    "    \n",
    "    plt.tight_layout()\n",
    "    plt.savefig(f\"{title.lower().replace(\" \", \"_\")}.png\", dpi=300, bbox_inches=\"tight\")\n",
    "    plt.show()\n",
    "\n",
    "plot_knapsack(batch_lengths, max_length, \"Greedy Knapsack Packing\") "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "cd999c4f-017f-4961-a24d-f18e5c324006",
   "metadata": {},
   "outputs": [],
   "source": [
    "def balanced_greedy_knapsack(samples, L):\n",
    "   # Step 1: Sort the samples\n",
    "   samples.sort(key=len, reverse=True)\n",
    "   total_length = sum([len(sample) for sample in samples])\n",
    "   min_knapsacks = (total_length + L - 1) // L\n",
    "   # Step 2: Initialize knapsacks\n",
    "   knapsacks=[[] for _ in range(min_knapsacks)]\n",
    "   knapsack_lengths = [0] * min_knapsacks\n",
    "   # Step 3: Distribute samples across knapsacks\n",
    "   ks_index = 0\n",
    "   sample_index = 0\n",
    "   while sample_index < len(samples):\n",
    "       length = len(samples[sample_index])\n",
    "       if knapsack_lengths[ks_index]+length<=L:\n",
    "           knapsacks[ks_index].append(length)\n",
    "           knapsack_lengths[ks_index] += length\n",
    "           sample_index += 1\n",
    "       else:\n",
    "           knapsacks.append([])\n",
    "           knapsack_lengths.append(0)\n",
    "       ks_index = np.argmin(knapsack_lengths)\n",
    "   return knapsacks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "976ba2dd-52a6-4e4b-b8c5-18725ec08eff",
   "metadata": {},
   "outputs": [],
   "source": [
    "knapsacks = balanced_greedy_knapsack(pool_tokens, 2048)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "b1f9fdd2-b22e-4109-a2c7-69e7083e3ae6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_knapsack(knapsacks, max_length, \"Balanced Knapsack Packing\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "40137b7f-6799-4486-82da-9bd12cff6f18",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}