{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8dd43ef7",
   "metadata": {},
   "source": [
    "# Dataset Splitter mechanics\n",
    "\n",
    "This notebook will make use of dataset's split method and why use it to get balanced datasets\n",
    "\n",
    "The goal is to split a dataset into train and valid which are respectively 90% and 10% of the dataset (image wise)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a9865afa",
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "\n",
    "%autoreload 2\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import seaborn\n",
    "from ot import dist, emd2, sinkhorn2\n",
    "\n",
    "from lours.dataset import from_coco\n",
    "from lours.utils import grouper\n",
    "\n",
    "pd.set_option(\"max_colwidth\", 20)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e3730c7f",
   "metadata": {},
   "source": [
    "## Example setup\n",
    "\n",
    "This will be used as an example\n",
    "\n",
    "Some splitting methods can be slow (could be sped up with multiprocessing, stay tuned !) so we keep the dataset small for this example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3248f3d9",
   "metadata": {},
   "outputs": [],
   "source": [
    "coco_valid = \"notebook_data/coco_valid.json\"\n",
    "COCO_dataset = from_coco(coco_valid, images_root=\".\")\n",
    "COCO_SC = COCO_dataset.remap_from_preset(\"coco\", \"supercategory\").iloc_annot[::10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "13ccea81",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e4f4e2e8881e42cfacf0a90d66a935b0",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VBox(children=(HTML(value=\"<p><span style='white-space: pre-wrap; font-weight: bold'>Dataset object containing…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "COCO_SC"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f5b046d8",
   "metadata": {},
   "source": [
    "## Let's check the data repartition for categories and box heights\n",
    "   \n",
    "Notice the check_split_conformity will compare different splits. A big overlap between the different histogram will mean balanced splits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "48974233",
   "metadata": {},
   "outputs": [],
   "source": [
    "bins = range(0, 600, 50)\n",
    "\n",
    "\n",
    "def check_split_conformity(dataset):\n",
    "    plt.figure()\n",
    "    seaborn.histplot(\n",
    "        dataset.annotations,\n",
    "        x=\"box_height\",\n",
    "        stat=\"density\",\n",
    "        hue=\"split\",\n",
    "        common_norm=False,\n",
    "        bins=bins,\n",
    "    )\n",
    "\n",
    "    plt.figure()\n",
    "    seaborn.histplot(\n",
    "        dataset.annotations,\n",
    "        x=\"category_str\",\n",
    "        stat=\"density\",\n",
    "        hue=\"split\",\n",
    "        common_norm=False,\n",
    "    )\n",
    "    plt.xticks(rotation=45)\n",
    "    plt.show()\n",
    "\n",
    "    person_sedan = dataset.annotations[\n",
    "        COCO_SC.annotations[\"category_str\"].isin([\"person\", \"vehicle\"])\n",
    "    ]\n",
    "    plt.figure()\n",
    "    seaborn.displot(\n",
    "        person_sedan,\n",
    "        x=\"box_height\",\n",
    "        col=\"category_str\",\n",
    "        hue=\"split\",\n",
    "        stat=\"density\",\n",
    "        common_norm=False,\n",
    "        bins=bins,\n",
    "    )\n",
    "    plt.show()\n",
    "\n",
    "    cutted = (\n",
    "        pd.cut(dataset.annotations[\"box_height\"], bins=bins)\n",
    "        .apply(lambda x: x.left)\n",
    "        .astype(float)\n",
    "    )\n",
    "    target_hist = dataset.annotations.groupby(cutted).size()\n",
    "    for split, group in dataset.annotations.groupby(\"split\"):\n",
    "        cutted = (\n",
    "            pd.cut(group[\"box_height\"], bins=bins).apply(lambda x: x.left).astype(float)\n",
    "        )\n",
    "        candidate_hist = dataset.annotations.groupby(cutted).size()\n",
    "        left_bins = target_hist.index.to_numpy()\n",
    "        right_bins = candidate_hist.index.to_numpy()\n",
    "        distance_matrix = dist(\n",
    "            left_bins[:, None], right_bins[:, None], metric=\"cityblock\"\n",
    "        )\n",
    "        distance_matrix = distance_matrix / distance_matrix.max()\n",
    "\n",
    "        normalized_left = (target_hist / target_hist.sum()).to_numpy()\n",
    "        normalized_right = (candidate_hist / candidate_hist.sum()).to_numpy()\n",
    "        emd = emd2(normalized_left, normalized_right, distance_matrix)\n",
    "        sinkhorn = sinkhorn2(\n",
    "            normalized_left, normalized_right, distance_matrix, reg=1e-1\n",
    "        )\n",
    "        print(\n",
    "            f\"EMD and sinkhorn between target and {split} for box height :\"\n",
    "            f\" {emd} {sinkhorn}\"\n",
    "        )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f1d1ccfb",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1083.5x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EMD and sinkhorn between target and valid for box height : 0.0 0.05641091212724669\n"
     ]
    }
   ],
   "source": [
    "check_split_conformity(COCO_SC)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "54391ff3",
   "metadata": {},
   "source": [
    "## First split try with the most naive way : split dataset dataset in 90%/10% completely randomly and hope for the best"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6b89c437",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using simple random split\n"
     ]
    }
   ],
   "source": [
    "COCO_SC.images.split = None\n",
    "splitted_COCO_naive = COCO_SC.split(\n",
    "    input_seed=0,\n",
    "    split_names=[\"train\", \"valid\"],\n",
    "    target_split_shares=[0.9, 0.1],\n",
    "    keep_separate_groups=[\"image_id\"],\n",
    "    keep_balanced_groups=[],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ba709819",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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8Lly4gO7duyMzM/OVj9u9e3eoVCoMHDgQly9fxp49ezB37lxdPIRcsQWIiIhIjyKjE/L1/TRt2hQlSpTA1atX0b17d2X7/Pnz0b9/f9SvXx82NjYYNWoUkpKSXvm4lpaW+Pnnn/HRRx+hevXqqFSpEmbPno1OnTq9UZ2viwGIiIhID2xsbGBhYY6eMzfn2X1aWJjDxsbmtW5jZGSEmJiYHNtdXV3x22+/aWz75JNPNC7/+5SYiGhcrlu3Ls6fP//SfXSFAYiIiEgPXFxcEBl5pUCvBZafMQARERHpiYuLCwOJnrATNBERERkcBiAiIiIyOAxAREREZHAYgIiIiPJIXo1wKsheZ66hl2EnaCIiIh0rXLgwVCoVEhISYGtrC5VKpe+S3jkigvT0dCQkJMDIyAgmJiZvdTwGICIiIh0zNjaGk5MT7ty581rLRVBOFhYWcHFxgZHR253EYgAiIiLKA5aWlvDw8MCzZ8/0Xco7y9jYGIUKFdJKCxoDEBERUR4xNjaGsbGxvssgsBM0ERERGSAGICIiIjI4DEBERERkcBiAiIiIyOAwABEREZHBYQAiIiIig8MARERERAaHAYiIiIgMDgMQERERGRwGICIiIjI4DEBERERkcPJFAFqyZAlcXV1hZmYGHx8fnDp16oX7rlixAg0bNkTx4sVRvHhx+Pn55di/b9++UKlUGj8BAQG6fhhERET0jtB7ANq0aROCgoIwadIkREREoFq1avD398e9e/dy3T8sLAzdunXDwYMHER4eDmdnZzRv3hx3797V2C8gIACxsbHKz4YNG/Li4RAREdE7QO8BaP78+Rg4cCD69euHSpUqYdmyZbCwsEBwcHCu+69btw5DhgyBt7c3PD098f333yMzMxOhoaEa+5mamsLOzk75KV68eF48HCIiInoH6DUApaen4+zZs/Dz81O2GRkZwc/PD+Hh4a90jNTUVDx79gwlSpTQ2B4WFoZSpUqhQoUK+Pjjj3H//v0XHiMtLQ1JSUkaP0RERFRw6TUAJSYmIiMjA6VLl9bYXrp0acTFxb3SMUaNGgUHBweNEBUQEIA1a9YgNDQUs2fPxqFDh9CiRQtkZGTkeoxZs2ahaNGiyo+zs/ObPygiIiLK9wrpu4C38eWXX2Ljxo0ICwuDmZmZsr1r167K/728vFC1alW4u7sjLCwMzZo1y3GcMWPGICgoSLmclJTEEERERFSA6bUFyMbGBsbGxoiPj9fYHh8fDzs7u5fedu7cufjyyy/x66+/omrVqi/dt2zZsrCxscH169dzvd7U1BTW1tYaP0RERFRw6TUAmZiYoGbNmhodmNUdmuvVq/fC282ZMwfTpk3D3r17UatWrf+8nzt37uD+/fuwt7fXSt1ERET0btP7KLCgoCCsWLECq1evRmRkJD7++GOkpKSgX79+AIDevXtjzJgxyv6zZ8/GhAkTEBwcDFdXV8TFxSEuLg7JyckAgOTkZIwYMQInTpxAVFQUQkND0a5dO5QrVw7+/v56eYxERESUv+i9D1BgYCASEhIwceJExMXFwdvbG3v37lU6RkdHR8PI6J+ctnTpUqSnp+ODDz7QOM6kSZMwefJkGBsb4+LFi1i9ejUePnwIBwcHNG/eHNOmTYOpqWmePjYiIiLKn/QegABg6NChGDp0aK7XhYWFaVyOiop66bHMzc2xb98+LVVGREREBZHeT4ERERER5TUGICIiIjI4DEBERERkcBiAiIiIyOAwABEREZHBYQAiIiIig8MARERERAaHAYiIiIgMDgMQERERGRwGICIiIjI4DEBERERkcBiAiIiIyOAwABEREZHBYQAiIiIig8MARERERAaHAYiIiIgMDgMQERERGRwGICIiIjI4DEBERERkcBiAiIiIyOAwABEREZHBYQAiIiIig8MARERERAaHAYiIiIgMDgMQERERGRwGICIiIjI4DEBERERkcBiAiIiIyOAwABEREZHBYQAiIiIig8MARERERAaHAYiIiIgMDgMQERERGRwGICIiIjI4DEBERERkcBiAiIiIyOAwABEREZHBYQAiIiIig8MARERERAaHAYiIiIgMDgMQERERGRwGICIiIjI4DEBERERkcBiAiIiIyOAwABEREZHByRcBaMmSJXB1dYWZmRl8fHxw6tSpF+67YsUKNGzYEMWLF0fx4sXh5+eXY38RwcSJE2Fvbw9zc3P4+fnh2rVrun4YRERE9I7QewDatGkTgoKCMGnSJERERKBatWrw9/fHvXv3ct0/LCwM3bp1w8GDBxEeHg5nZ2c0b94cd+/eVfaZM2cOFi1ahGXLluHkyZMoUqQI/P398fTp07x6WERERJSP6T0AzZ8/HwMHDkS/fv1QqVIlLFu2DBYWFggODs51/3Xr1mHIkCHw9vaGp6cnvv/+e2RmZiI0NBRAVuvPggULMH78eLRr1w5Vq1bFmjVrEBMTgx07duThIyMiIqL8Sq8BKD09HWfPnoWfn5+yzcjICH5+fggPD3+lY6SmpuLZs2coUaIEAODmzZuIi4vTOGbRokXh4+PzwmOmpaUhKSlJ44eIiIgKLr0GoMTERGRkZKB06dIa20uXLo24uLhXOsaoUaPg4OCgBB717V7nmLNmzULRokWVH2dn59d9KERERPQO0fspsLfx5ZdfYuPGjdi+fTvMzMze+DhjxozBo0ePlJ/bt29rsUoiIiLKbwrp885tbGxgbGyM+Ph4je3x8fGws7N76W3nzp2LL7/8EgcOHEDVqlWV7erbxcfHw97eXuOY3t7euR7L1NQUpqamb/goiIiI6F2j1xYgExMT1KxZU+nADEDp0FyvXr0X3m7OnDmYNm0a9u7di1q1amlc5+bmBjs7O41jJiUl4eTJky89JhERERkOvbYAAUBQUBD69OmDWrVqoU6dOliwYAFSUlLQr18/AEDv3r3h6OiIWbNmAQBmz56NiRMnYv369XB1dVX69VhaWsLS0hIqlQrDhg3D9OnT4eHhATc3N0yYMAEODg5o3769vh4mERER5SN6D0CBgYFISEjAxIkTERcXB29vb+zdu1fpxBwdHQ0jo38aqpYuXYr09HR88MEHGseZNGkSJk+eDAAYOXIkUlJSMGjQIDx8+BANGjTA3r1736qfEBERERUceg9AADB06FAMHTo01+vCwsI0LkdFRf3n8VQqFaZOnYqpU6dqoToiIiIqaN7pUWBEREREb4IBiIiIiAwOAxAREREZHAYgIiIiMjgMQERERGRwGICIiIjI4DAAERERkcF5owD0119/absOIiIiojzzRgGoXLlyaNKkCX788Uc8ffpU2zURERER6dQbBaCIiAhUrVoVQUFBsLOzw+DBg3Hq1Clt10ZERESkE28UgLy9vbFw4ULExMQgODgYsbGxaNCgAapUqYL58+cjISFB23USERERac1bdYIuVKgQOnbsiC1btmD27Nm4fv06hg8fDmdnZ/Tu3RuxsbHaqpOIiIhIa94qAJ05cwZDhgyBvb095s+fj+HDh+PGjRvYv38/YmJi0K5dO23VSURERKQ1b7Qa/Pz587Fy5UpcvXoVLVu2xJo1a9CyZUsYGWXlKTc3N6xatQqurq7arJWIiIhIK94oAC1duhT9+/dH3759YW9vn+s+pUqVwg8//PBWxRERERHpwhsFoP3798PFxUVp8VETEdy+fRsuLi4wMTFBnz59tFIkERERkTa9UR8gd3d3JCYm5tj+4MEDuLm5vXVRRERERLr0RgFIRHLdnpycDDMzs7cqiIiIiEjXXusUWFBQEABApVJh4sSJsLCwUK7LyMjAyZMn4e3trdUCiYiIiLTttQLQuXPnAGS1AF26dAkmJibKdSYmJqhWrRqGDx+u3QqJiIiItOy1AtDBgwcBAP369cPChQthbW2tk6KIiIiIdOmNRoGtXLlS23UQERER5ZlXDkAdO3bEqlWrYG1tjY4dO75035CQkLcujIiIiEhXXjkAFS1aFCqVSvk/ERER0bvqlQNQ9tNePAVGRERE77I3mgfoyZMnSE1NVS7funULCxYswK+//qq1woiIiIh05Y0CULt27bBmzRoAwMOHD1GnTh3MmzcP7dq1w9KlS7VaIBEREZG2vVEAioiIQMOGDQEAW7duhZ2dHW7duoU1a9Zg0aJFWi2QiIiISNveKAClpqbCysoKAPDrr7+iY8eOMDIyQt26dXHr1i2tFkhERESkbW8UgMqVK4cdO3bg9u3b2LdvH5o3bw4AuHfvHidHJCIionzvjQLQxIkTMXz4cLi6usLHxwf16tUDkNUaVL16da0WSERERKRtbzQT9AcffIAGDRogNjYW1apVU7Y3a9YMHTp00FpxRERERLrwRgEIAOzs7GBnZ6exrU6dOm9dEBEREZGuvVEASklJwZdffonQ0FDcu3cPmZmZGtf/9ddfWimOiIiISBfeKAANGDAAhw4dQq9evWBvb68skUFERET0LnijAPTLL79g9+7d8PX11XY9RERERDr3RqPAihcvjhIlSmi7FiIiIqI88UYBaNq0aZg4caLGemBERERE74o3OgU2b9483LhxA6VLl4arqysKFy6scX1ERIRWiiMiIiLShTcKQO3bt9dyGURERER5540C0KRJk7RdBxEREVGeeaM+QADw8OFDfP/99xgzZgwePHgAIOvU1927d7VWHBEREZEuvFEL0MWLF+Hn54eiRYsiKioKAwcORIkSJRASEoLo6GisWbNG23USERERac0btQAFBQWhb9++uHbtGszMzJTtLVu2xOHDh7VWHBEREZEuvFEAOn36NAYPHpxju6OjI+Li4t66KCIiIiJdeqMAZGpqiqSkpBzb//zzT9ja2r7WsZYsWQJXV1eYmZnBx8cHp06deuG+f/zxBzp16gRXV1eoVCosWLAgxz6TJ0+GSqXS+PH09HytmoiIiKhge6MA1LZtW0ydOhXPnj0DAKhUKkRHR2PUqFHo1KnTKx9n06ZNCAoKwqRJkxAREYFq1arB398f9+7dy3X/1NRUlC1bFl9++WWOleizq1y5MmJjY5Wfo0ePvt4DJCIiogLtjQLQvHnzkJycDFtbWzx58gSNGzdGuXLlYGVlhRkzZrzycebPn4+BAweiX79+qFSpEpYtWwYLCwsEBwfnun/t2rXx1VdfoWvXrjA1NX3hcQsVKgQ7Ozvlx8bG5qV1pKWlISkpSeOHiIiICq43GgVWtGhR7N+/H8eOHcOFCxeQnJyMGjVqwM/P75WPkZ6ejrNnz2LMmDHKNiMjI/j5+SE8PPxNylJcu3YNDg4OMDMzQ7169TBr1iy4uLi8cP9Zs2ZhypQpb3WfRERE9O547QCUmZmJVatWISQkBFFRUVCpVHBzc4OdnR1EBCqV6pWOk5iYiIyMDJQuXVpje+nSpXHlypXXLUvh4+ODVatWoUKFCoiNjcWUKVPQsGFD/P7777Cyssr1NmPGjEFQUJByOSkpCc7Ozm9cAxEREeVvrxWARARt27bFnj17UK1aNXh5eUFEEBkZib59+yIkJAQ7duzQUamvpkWLFsr/q1atCh8fH5QpUwabN2/Ghx9+mOttTE1NX3pKjYiIiAqW1wpAq1atwuHDhxEaGoomTZpoXPfbb7+hffv2WLNmDXr37v2fx7KxsYGxsTHi4+M1tsfHx7+0g/PrKlasGMqXL4/r169r7ZhERET0bnutTtAbNmzA2LFjc4QfAGjatClGjx6NdevWvdKxTExMULNmTYSGhirbMjMzERoainr16r1OWS+VnJyMGzduwN7eXmvHJCIionfbawWgixcvIiAg4IXXt2jRAhcuXHjl4wUFBWHFihVYvXo1IiMj8fHHHyMlJQX9+vUDAPTu3Vujk3R6ejrOnz+P8+fPIz09HXfv3sX58+c1WneGDx+OQ4cOISoqCsePH0eHDh1gbGyMbt26vc5DJSIiogLstU6BPXjwIEen5exKly6Nv//++5WPFxgYiISEBEycOBFxcXHw9vbG3r17lfuIjo6GkdE/GS0mJgbVq1dXLs+dOxdz585F48aNERYWBgC4c+cOunXrhvv378PW1hYNGjTAiRMnXnuCRiIiIiq4XisAZWRkoFChF9/E2NgYz58/f60Chg4diqFDh+Z6nTrUqLm6ukJEXnq8jRs3vtb9ExERkeF57VFgffv2feGIqbS0NK0URURERKRLrxWA+vTp85/7vMoIMCIiIiJ9eq0AtHLlSl3VQURERJRn3mgtMCIiIqJ3GQMQERERGRwGICIiIjI4DEBERERkcBiAiIiIyOAwABEREZHBYQAiIiIig8MARERERAaHAYiIiIgMDgMQERERGRwGICIiIjI4DEBERERkcBiAiIiIyOAwABEREZHBYQAiIiIig8MARERERAaHAYiIiIgMDgMQERERGRwGICIiIjI4DEBERERkcBiAiIiIyOAwABEREZHBYQAiIiIig8MARERERAaHAYiIiIgMDgMQERERGRwGICIiIjI4DEBERERkcBiAiIiIyOAwABEREZHBYQAiIiIig8MARERERAaHAYiIiIgMDgMQERERGZxC+i6A8o+bN28iIiJC32VosLGxgYuLi77LICKiAoYBiJD8OAkAMGHCBEyYMEHP1Wgyt7DAlchIhiAiItIqBiBC2pMnAIBG3T9DLd/39FtMNvHRN7Bu9ggkJiYyABERkVYxAJHCyNwaxpYl9F2GwtgiUd8lEBFRAcUARHj6LAMAcObMGZy78peeq/lHRvIDAEBsbKyeKyEiooKGAYiQ/jwrAFVzL4X6tavruZp/XLl6DT9fAB4+fKjvUoiIqIBhACJFEbPCsC9pre8yFPGWZvougQqo6OhoJCbmv1OsHPVIlHf0HoCWLFmCr776CnFxcahWrRoWL16MOnXq5LrvH3/8gYkTJ+Ls2bO4desWvv76awwbNuytjklEhiU6OhoVK3oiNfWJvkvJwcLCHJGRVxiCiPKAXgPQpk2bEBQUhGXLlsHHxwcLFiyAv78/rl69ilKlSuXYPzU1FWXLlkXnzp3x+eefa+WYRGRYEhMTkZr6BD+O7YKKLrb6LkcRGZ2AnjM3c9QjUR7RawCaP38+Bg4ciH79+gEAli1bht27dyM4OBijR4/OsX/t2rVRu3ZtAMj1+jc5JuV/+W2CRp6mKBgqutiiRnlHfZdBRHqitwCUnp6Os2fPYsyYMco2IyMj+Pn5ITw8PE+PmZaWhrS0NOVyUlLSG90/aVdq2nMA+W+CRp6mICJ69+ktACUmJiIjIwOlS5fW2F66dGlcuXIlT485a9YsTJky5Y3uk3Qn7VlWABrVuS66NKup52qy8DQFEVHBoPdO0PnBmDFjEBQUpFxOSkqCs7OzHiui7JxsrXiqgoiItEpvAcjGxgbGxsaIj4/X2B4fHw87O7s8PaapqSlMTU3f6D6JiIjo3aO3AGRiYoKaNWsiNDQU7du3BwBkZmYiNDQUQ4cOzTfHJKKCKTI6Qd8laMhv9RAVdHo9BRYUFIQ+ffqgVq1aqFOnDhYsWICUlBRlBFfv3r3h6OiIWbNmAcjq5Hz58mXl/3fv3sX58+dhaWmJcuXKvdIxiciwqZdW6Tlzs54ryR2XfiHKG3oNQIGBgUhISMDEiRMRFxcHb29v7N27V+nEHB0dDSMjI2X/mJgYVK/+z1INc+fOxdy5c9G4cWOEhYW90jGJyLCpl1Zp1aUnKniU1W8x2Vy99hd2b/6RS78Q5RG9d4IeOnToC09PqUONmqurK0TkrY5JRAQAJUuVglOZMvouQ5H4KFnfJRAZFKP/3oWIiIioYGEAIiIiIoPDAEREREQGhwGIiIiIDA4DEBERERkcBiAiIiIyOHofBk9ERPS6oqOjkZiYqO8yNNjY2HCR5HcIAxAREb1ToqOjUbGiJ1JTn+i7FA0WFuaIjLzCEPSOYAAiIqJ3SmJiIlJTn+DHsV1Q0cVW3+UAyFrLrefMzUhMTGQAekewDxAREREZHLYAERHROyU/L2jLxWzfHQxARET0TsmPC9pyMdt3DwMQERG9k/LTgrZczPbdwz5AREREZHAYgIiIiMjgMAARERGRwWEfIMr3bickIeLPu/ouA0DWXB9ERPTuYwCifCs1+TEAYM6Wk5iz5aSeq9HEoa5ERO82BiDKt9LTngIA6ga0Q/2a1fRcTRYOdSUiKhgYgCjfsy5hw6Gur4CLQxIRvToGIKICIDo6Gp4VK+JJaqq+S9FgbmGBK5GRDEFElO8wABEVAImJiXiSmooeo75CaRd3fZcDAIiPvoF1s0dwcUgiypcYgIgKkNIu7nDyqKzvMoiI8j3OA0REREQGhwGIiIiIDA4DEBERERkcBiAiIiIyOAxAREREZHAYgIiIiMjgMAARERGRweE8QEQFSGJiIowt88dCrfltWQ4iouwYgIgKAPXq9CEhITC2LKHnarJkJD8A8E9tRET5CQMQUQGgXp2+SfWy8Kzgod9i/t+Vq9fw84V/aiMiyk8YgIgKkOKWZrAvaa3vMgAA8ZZm+i6BiOiF2AmaiIiIDA4DEBERERkcBiAiIiIyOAxAREREZHAYgIiIiMjgcBQYEVE+cvPmTUREROi7DIWNjQ1cXFz0XQaR1jEAEZFO5bcP9Js3b+q7hFylpj0HAEyYMAETJkzQczX/sLAwR2TkFYYgKnAYgIhIJ5IfJwHIfx/oaurAkV+kPcuqZ1TnuujSrKaeq8kSGZ2AnjM3IzExkQGIChwGICLSibQnTwAAjbp/hlq+7+m3mGxOhe7C0ZBgJXDkN062VqhR3lHfZRAVeAxARKRTRUs7wcmjsr7LUFy9eFbfJbzU7YQkRPx5V99lAMhqASIqqBiAiIjygdTkxwCAOVtOYs6Wk3quRhMXtKWCKF8EoCVLluCrr75CXFwcqlWrhsWLF6NOnTov3H/Lli2YMGECoqKi4OHhgdmzZ6Nly5bK9X379sXq1as1buPv74+9e/fq7DEQEb2N9LSnAIC6Ae1Qv2Y1PVeT5eq1v7B7849c0JYKJL0HoE2bNiEoKAjLli2Dj48PFixYAH9/f1y9ehWlSpXKsf/x48fRrVs3zJo1C61bt8b69evRvn17REREoEqVKsp+AQEBWLlypXLZ1NQ0Tx4PEdHbsC5hA6cyZfRdBgAg8VEyAI7ko4JJ7wFo/vz5GDhwIPr16wcAWLZsGXbv3o3g4GCMHj06x/4LFy5EQEAARowYAQCYNm0a9u/fj2+++QbLli1T9jM1NYWdnd0r1ZCWloa0tDTlclJS0ts8JCKiAoEj+agg02sASk9Px9mzZzFmzBhlm5GREfz8/BAeHp7rbcLDwxEUFKSxzd/fHzt27NDYFhYWhlKlSqF48eJo2rQppk+fjpIlS+Z6zFmzZmHKlClv92CIiAoYjuSjgkyvASgxMREZGRkoXbq0xvbSpUvjypUrud4mLi4u1/3j4uKUywEBAejYsSPc3Nxw48YNjB07Fi1atEB4eDiMjY1zHHPMmDEaoSopKQnOzs5v89CIiAoMjuSjgkjvp8B0oWvXrsr/vby8ULVqVbi7uyMsLAzNmjXLsb+pqSn7CBERERkQvS6GamNjA2NjY8THx2tsj4+Pf2H/HTs7u9faHwDKli0LGxsbXL9+/e2LJiIioneeXgOQiYkJatasidDQUGVbZmYmQkNDUa9evVxvU69ePY39AWD//v0v3B8A7ty5g/v378Pe3l47hRMREdE7Ta8BCACCgoKwYsUKrF69GpGRkfj444+RkpKijArr3bu3Rifp//3vf9i7dy/mzZuHK1euYPLkyThz5gyGDh0KAEhOTsaIESNw4sQJREVFITQ0FO3atUO5cuXg7++vl8dIRERE+Yve+wAFBgYiISEBEydORFxcHLy9vbF3716lo3N0dDSMjP7JafXr18f69esxfvx4jB07Fh4eHtixY4cyB5CxsTEuXryI1atX4+HDh3BwcEDz5s0xbdo09vMh0oPHSUn5aibhpMeP9V0CEeUDeg9AADB06FClBeffwsLCcmzr3LkzOnfunOv+5ubm2LdvnzbLI6I38PRZBgDgzJkzOHflLz1X84/0e1mT6D1/ziHURIYsXwQgIip40p9nBaBq7qVQv3Z1PVfzj99+S8HZa0BGZoa+SyEiPWIAIiKdKmJWGPYlrfVdhsLCzETfJbxzeBqTCiIGICIiyhVPY1JBxgBERES54mlMKsgYgIiI6KV4GpMKIr3PA0RERESU19gCRPQGbt68iYiICH2Xobh586a+SyCifCo6OhqJiYn6LkODjY0NXFxc9FoDAxDRa0h+nAQAmDBhAiZMmKDnanJKTWOnUCL6R3R0NDwrVsST1FR9l6LB3MICVyIj9RqCGICIXkPakycAgEbdP0Mt3/f0W0w2p0J34WhIMNKeMQAR0T8SExPxJDUVPUZ9hdIu7vouBwAQH30D62aPQGJiIgMQ0bumaGknOHlU1ncZiqsXz+q7BCLKx0q7uOer96z8gJ2giYiIyOCwBYjoDXBmXCKidxsDENFr4My4REQFAwMQ0WvgzLhERAUDAxDRG+DMuERE7zZ2giYiIiKDwwBEREREBocBiIiIiAwOAxAREREZHAYgIiIiMjgcBUZERFTAJSYmwtgyf0zeml9WpmcAIiIiKqDUM9aHhITA2LKEnqvJkpH8AAD0Pps+AxAREVEB9fDhQwBAk+pl4VnBQ7/F/L8rV6/h5wv/1KYvDEBEREQFXHFLs3wzeWu8pZm+SwDATtBERERkgBiAiIiIyODwFBgREZGW3Lx5ExEREfouQ3Hz5k19l5BvMQARERG9pdS05wCACRMmYMKECXquJqdnz57ru4R8hwGIiIjoLaX9f8AY1bkuujSrqedq/vH9njNYuvMkMjIYgP6NfYCIiIi0RCD6LoFeEVuAiIiI3lJq8mMAwJwtJzFny0k9V5PTk3S2AP0bAxAREdFbSk97CgCoG9AO9WtW03M1/zh4+DjOHTmAtOcZ+i4l32EAIiIi0hLrEjZwKlNG32UoLItF6ruEfIt9gIiIiMjgMAARERGRwWEAIiIiIoPDAEREREQGhwGIiIiIDA4DEBERERkcBiAiIiIyOAxAREREZHAYgIiIiMjgMAARERGRwWEAIiIiIoOTLwLQkiVL4OrqCjMzM/j4+ODUqVMv3X/Lli3w9PSEmZkZvLy8sGfPHo3rRQQTJ06Evb09zM3N4efnh2vXrunyIRAREdE7RO8BaNOmTQgKCsKkSZMQERGBatWqwd/fH/fu3ct1/+PHj6Nbt2748MMPce7cObRv3x7t27fH77//ruwzZ84cLFq0CMuWLcPJkydRpEgR+Pv74+nTp3n1sIiIiCgf03sAmj9/PgYOHIh+/fqhUqVKWLZsGSwsLBAcHJzr/gsXLkRAQABGjBiBihUrYtq0aahRowa++eYbAFmtPwsWLMD48ePRrl07VK1aFWvWrEFMTAx27NiRh4+MiIiI8qtC+rzz9PR0nD17FmPGjFG2GRkZwc/PD+Hh4bneJjw8HEFBQRrb/P39lXBz8+ZNxMXFwc/PT7m+aNGi8PHxQXh4OLp27ZrjmGlpaUhLS1MuP3r0CACQlJT0xo/tRVJTUwEA16//hfT0tP/YO2/Ex8QAAGJu38apMxF6ruYf+bGu/FgTkD/ryo81AazrdeTHmoD8WVd+rAnIn3VFR98FkPV5qO3PWfXxROS/dxY9unv3rgCQ48ePa2wfMWKE1KlTJ9fbFC5cWNavX6+xbcmSJVKqVCkRETl27JgAkJiYGI19OnfuLF26dMn1mJMmTRIA/OEPf/jDH/7wpwD83L59+z8ziF5bgPKLMWPGaLQqZWZm4sGDByhZsiRUKpUeK3uxpKQkODs74/bt27C2ttZ3OQrW9eryY01A/qwrP9YE5M+68mNNAOt6HfmxJiD/1pWdiODx48dwcHD4z331GoBsbGxgbGyM+Ph4je3x8fGws7PL9TZ2dnYv3V/9b3x8POzt7TX28fb2zvWYpqamMDU11dhWrFix13koemNtbZ0vX4is69Xlx5qA/FlXfqwJyJ915ceaANb1OvJjTUD+rUutaNGir7SfXjtBm5iYoGbNmggNDVW2ZWZmIjQ0FPXq1cv1NvXq1dPYHwD279+v7O/m5gY7OzuNfZKSknDy5MkXHpOIiIgMi95PgQUFBaFPnz6oVasW6tSpgwULFiAlJQX9+vUDAPTu3RuOjo6YNWsWAOB///sfGjdujHnz5qFVq1bYuHEjzpw5g++++w4AoFKpMGzYMEyfPh0eHh5wc3PDhAkT4ODggPbt2+vrYRIREVE+ovcAFBgYiISEBEycOBFxcXHw9vbG3r17Ubp0aQBAdHQ0jIz+aaiqX78+1q9fj/Hjx2Ps2LHw8PDAjh07UKVKFWWfkSNHIiUlBYMGDcLDhw/RoEED7N27F2ZmZnn++HTF1NQUkyZNynHqTt9Y16vLjzUB+bOu/FgTkD/ryo81AazrdeTHmoD8W9ebUom8ylgxIiIiooJD7xMhEhEREeU1BiAiIiIyOAxAREREZHAYgIiIiMjgMAAR0RvjGAoielcxAJFBCgkJwYEDB/RdxjsvNjYWQNYEpkRE7xIGIDI4UVFRGDduHJYsWYIjR47ou5zXpm51uXfvnl7r2LFjB5ydnXHixAkYGRnlmxCk/v3cvXsXz54903M1+VdBaL27evWqvkugN6B+7SUlJen1b5QByADllze+7HXk5Yenq6srFi5ciISEBCxatAgHDx7Ms/vWBpVKhS1btmDgwIG4efOm3upwd3dHx44d0bFjR5w8eTLfhCCVSoVNmzahSZMmuHnzZr55vecnmZmZykLPt2/f1nM1b2bdunX49NNPAeSf97T8JPvf4r//LvX5dyoiUKlU2L17NwYNGoQjR44gLS1NL7UwABmQ58+fA0C+WOFe/Uewf/9+fPHFF/Dz80NwcDDOnj2r0/vNyMhAZmYmmjdvjpEjRyIuLg7ffvstjh8/rtP71Qb1m3xCQgKmT5+OgIAAuLm56a0eLy8vTJ06FY0aNUKbNm30HoLUv5+nT58iJCQEQ4YMQfny5fPF6x34p74///wTV65cwZ9//pnjuryQmZmpzK4/c+ZMDB06FCdOnMiz+9cWFxcXHDhwAL/88kueP8fq5+v333/HkSNHEBISki/Cv1r253jZsmUYNGgQunXrhq+++goZGRkaqyvkNZVKhZ9++gldunRBpUqV4OzsrL+ZpYUMwrx586RPnz7StWtXiYyMlPT0dH2XJNu3b5ciRYrIsGHD5IsvvpAaNWpIgwYNJCoqSmf3mZmZKSIiP/30k3zxxRdSqVIlMTY2loCAADly5IjO7ldb9u7dKyNHjpSePXvKgwcP9F2OiIj88ccfEhgYKLa2tnLixAkREcnIyNBLLQcPHpT69etL69at5fLly3qp4WW2bt0qdnZ24uLiIuXLl5elS5cq16lfm3llxIgRYmtrK9u3b5ebN2/m6X2/qczMTMnMzJTnz5+LiMigQYOkR48e8vjx4zz7/anvZ9u2beLs7Cx16tQROzs7qVu3ruzcuTPPn8eXGTlypJQqVUqmTZsmo0ePFgcHB+nQoYNea7pz5454eXnJggULNLbr4/fGAGQAZsyYIdbW1vLxxx+Lh4eHODo6ypYtWyQ1NTXPa1G/yG/fvi3e3t7KB0BqaqpYWVnJqFGjdF7DwYMHxdjYWJYuXSq//fabrFmzRjw8PKRjx475PgR9++23olKpxMbGRv766y99l6O4ePFivghBR44cETc3NzExMZFLly7prY7s1K/5hIQEcXd3lx9++EH27NkjEydOFGNjY5k3b16OfXXtl19+EVdXVzlz5oyIiDx//lz+/vvvfP/6v3fvnsbl7777ThwcHCQ6OlpE8u73d/z4cSlevLisWrVKRESuXLkiKpVKli9fnif3/yqOHz8u5cuXl+PHj4uISEhIiFhaWsqKFSs09tPl72zevHnK36HazZs3pWzZskpd/64hLz+XGIAKuFu3bkm/fv3k6NGjyrYPPvhAypQpI5s3b86TF9uGDRtk06ZNGtuio6OlSpUqcv/+fbl27Zo4OTnJwIEDleuPHDmS483uban/yIYPHy7NmjXTuG7Pnj3i5uYmAQEBGn+Y+dGaNWvEyMhIxo8fr3wTzivq3+GtW7fk5s2bEhkZqVyXWwjK6/rS0tLk2LFjUqZMGWnSpIlSr75D0IEDB2Tq1KkybNgwpZZHjx7J7NmzRaVSaYSgvLB161bx8PAQkawWvMmTJ0u5cuXEwsJC2rVrl6e1vKqdO3eKjY2NLFiwQM6fP69sf++99yQwMDBPWxC++eYb6dixo4hkhR93d3cZMGCAcr0+vlz+2/bt26VKlSoikhV+rKyslC+cycnJ8tNPP+nsvjMzM+Xp06fi5eUlV69e1bju/PnzYmRkJAcPHhQRzfeI8+fPy/79++XZs2c6qy07BqACLDg4WMzNzcXLy0suXryocV3nzp2lTJkysmXLFklJSdFZDffu3ZOaNWuKn5+fxh/cxYsXpVKlShIeHi5ly5aVAQMGKB8MFy5ckH79+infTrVF/QY5adIkadCggaSlpSlN6iJZ3ybNzc2lefPmcvjwYa3e95tQ1/XgwQO5c+eOiPzzQf7NN9+IkZGRfPnll3ne9L9jxw7x9vYWNzc3qVy5skyYMEHZ59KlSxIYGCgODg4aoVuX9dy+fVuuXLkiMTExynXHjh0Te3t78ff3V7bpKwQ9efJEgoKCRKVSSf369TWuU4cgExMTmT59uk7u//Tp08r/v/76a/ntt9/k5MmTUqFCBalVq5Y4OjpKv379ZNmyZXLq1ClRqVSyf/9+ndTypsaPHy+jRo2Sr7/+Wjw8PKROnTrSt29f+fPPP+Xrr7+Wjh07Ki2iuvh7UB9THby++OIL6dmzp2RkZIiTk5MMGjRI2Wft2rWyaNEirdfwMrm9tg8fPizt2rWT1atXi6WlpSxbtky5LjQ0VAYNGqSzVmR1Pep/jx07JufOnVMut2vXTho0aJCjdejjjz+Wfv36yZMnT3RS178xABVwfn5+olKpZPPmzTm+jQcGBoqpqamEhobqtIbz589L8+bNxd/fX3bs2KFsb9u2rahUKunfv7/G/qNHj5ZatWppfKBp04YNG6RQoUKyb98+je0hISFStWpVad26tRI49CV72FB/SPn4+Mi4ceOUvj+LFy8WIyMjmTNnTp6FoN27d0uRIkVk8eLFcunSJZk3b56oVCoZPny4ss/vv/8uLVq0EA8PD3ny5IlOP5C2bdsmZcuWlbJly4qFhYUMHjxYwsPDReSfENSqVSut3//run79uowePVpUKpWsXbtW47pHjx7J5MmTpXjx4nL//n2t/r6uXLki5cuXl6FDh8rnn38uxsbGcuPGDXn27Jns27dPvvjiC9m8ebPS2nr37l3x8fGRU6dOaa2Gt7Vlyxaxs7OTsLAwERG5du2abNu2TapWrSrvvfee1KpVS1QqlXz99dc6rWPXrl2iUqnk4sWLcuTIEXF3dxdLS0v55JNPNPYbMmSIdO/eXZKTk3Vaj1r28LNq1SrZu3evPH36VGJiYsTJyUlUKpVGf5snT55IQECAdOvWTefvGxkZGfL8+XNxdXUVT09PuXDhgohkteb5+fmJj4+P/Pzzz7Jr1y4JCgqSYsWK5fiyrksMQAagfv364urqKkeOHMnxTUGXp1EyMzM1WnWaNWsm/v7+sm3bNhHJ+lBo3LixuLq6yq+//iobNmyQYcOGiZWVlfKH8rb3LyJy48YNiYiI0Gg2HzhwoFhbW8uePXvk4cOHIiIyduxYmTBhgvz9999vfd/a8Ouvv4qpqanMmDFDfv75Zxk6dKjUrVtXunTpotS4dOnSHG9wuhIbGyvt2rWT+fPni4hITEyMuLq6SpMmTcTU1FT+97//KftevnxZ5yHy8OHDYmFhIQsXLpSLFy9KcHCwNGjQQNq2bSsnT54UkawQZGZmJp06ddJpLdmpX3eJiYkSHR2tNOc/evRIPv30U7G0tJR169Zp3CYpKUkSExO1XsujR49k6dKlUqxYMbG0tJTff/891/3S09MlMTFRWrduLfXr18/zU5cvsnv3bhk6dKh88803uV6/detWGTVqlFhaWkq1atXk2rVrOqkjOjpahg0bppxCiomJkcGDB0vZsmXlxx9/FBGRuLg4GTt2rNja2uqlA/6IESPEzs5OFixYoATaiIgIsbS0lMDAQFm1apVs3bpVmjVrJlWqVFFel3nx5enhw4dSoUIFqVGjhvzxxx8iktUK1bNnTzE3NxdPT0+pU6eOnDt3Tue1ZMcAVMDs3r1blixZItu3b9do+q5Tp46ULVs21xAkopu+Guo/LPU3oewhaOfOnSIiEhkZKe3atRNnZ2epXLmy+Pv7azX8bN26Vdzd3cXBwUFcXV2lbt26EhcXJ0+fPpXBgwdL4cKFxdvbW2rXri3m5uZaue+3lZmZKenp6dK/f3/5+OOPNa5buXKl1KlTR2bMmKE8xuDg4Dx5w01JSZGvvvpK/vrrL4mLi5PKlSvL4MGDJTU1Vb744gtRqVTy0Ucf6bwO9eMePXq0tG7dWuO6vXv3St26dZUw9uzZMzlx4oT8+eefOq8re23qljv1a27ChAly//59uXfvngQFBYmVlZVs2LBBZ3Vk/xs/cOCA2NraSrly5eSzzz5Ttqs/AJ88eSJr1qyRxo0bS+3atZURovruN3XmzBmpUaOGFC1aVJYsWaJR07/fr3755RcpU6aM7NmzR+t1nDt3Tvz9/aVq1apK3zaRrFOLvXr1kuLFi4uHh4fUrl1bypQpIxEREVqv4b+sWLFCSpUqJefOnVOe1+ynn3x8fMTNzU3q168vXbt2VZ5jXb7vP3z4UJ4/f67xBaBs2bJSo0YNjSD+119/yb179/TyxZMBqAAZPny4lC5dWmrUqCEuLi5SqVIl5Y1DRKRu3bri4eEhBw4c0HnqVx//l19+kZ49eyqdZdUh6P3335eff/5Z2f/PP/+UR48eSVJSktZqOHLkiFhYWMh3330nZ86ckf3790utWrXE09NTEhISRCSro+CCBQtk5syZOTrr6Vvnzp1zHbLar18/adSokR4q+qdz5/z588XPz0/i4+NFJKtvSdWqVcXJyUlnpy7/bfTo0dK4cWN59uyZxut5yZIlYm1trZMWlVexb98+KVKkiMydO1fi4uLk008/lSJFisj27dtFJKs1Yfjw4aJSqWTLli06rWXIkCEyePBgOXfunCxZskSqVKmSI6Q+efJE1q1bJ/Pnz1c+rPKqE+p/Wb58uVSsWFFq1KiRax+f7P/v1q2btG/fXusf6rt27ZLGjRuLmZmZbNy4UeO62NhYCQ8Ply+//FJ++uknuXXrllbv+1V9+umnSids9ePPHmBTU1Pl3r178uDBA+V3psvn+KeffpJmzZpJzZo1ZcGCBUqrz8OHD6Vs2bJSs2ZNOX/+vN5DNgNQAbF582axtbWVo0ePSmZmply8eFFGjhwpjo6O8v333yv7lStXTjp37pwnNamHXY4aNUrOnj2rbM/eEqT+UNCF+fPnS8uWLTXeJO/duyfVq1eXxo0b6+x+31ZGRoZkZGTIiBEjpFatWhIVFaXxGNasWSOVKlXS6TxA6vu7dOmS/Pzzz3Lr1i2lY2JmZqb0799f43c4fPhwmTdvnk471P/bsmXLxMzMTGnpVNccFhYmlSpVyrMgppaRkSHp6enSu3dvGTFihIhkDX0vU6ZMjn4id+/elbFjx8qVK1d0Vs+NGzekcuXKSof+R48eyddffy1eXl4a9UycOFF+++035XJ+OP2VvYbg4GDx8fGR7t27K3OEZf97UH+IdurUSfr06aO1D/bsfVEOHjyofKD/+uuvyvb8MOfP8+fPxdfXVwIDA5Vt6t9JWlqanDt3Tp4+fapxG13WffLkSSlSpIiMHz9eunfvLtWqVZNevXopg1oePnwo5cuXl3LlyuXoBJ3XGIAKiClTpuQY2h0VFSWDBw+WgIAApcVDRHdvcNnT/M2bN8Xd3T1H35TsfYL8/f2lbt26snv3bp3UExQUJO7u7spl9RtjSEiIeHh4yPXr13Vyv69L/WZ07949efTokcTFxSmXHRwcpFWrVvLXX38p+3300UfStGlTnQ+1DQkJkWLFiomjo6M4ODjIrFmzlH4927Ztk8KFC0uPHj2ka9euUqxYMY0h8dqkftxRUVFy5coVjfvp0KGD2NvbS3h4uDx+/FhEsp73atWq6a0vV8eOHWX79u0SFxcnDg4OMmjQIOW6HTt2yKFDh0REt9/AZ8yYIX369JEBAwZo3M/Dhw9lwYIFUrlyZWncuLEEBASIg4NDvgg9IlmjG7t37y6dO3eWWbNmKdtXrFghDRo0kB49eiitLNmnOIiKipJChQppbeTonTt3pFy5cspQd5Gslr3WrVuLn5+fHDhwQNmelyHoRS0m8+bNkwoVKmjUJZLVYfyDDz7Is741f/31l0yZMkVmz56tbFu7dq00aNBAunfvrjw/f//9t3h7e+t9LjMGoAJi8eLFUqlSJbl7967G9s2bN4uFhYXcuHFDY7s23/C++eabHG8CZ86cEU9PT437/fcf79mzZ6Vdu3Y6azY+duyYlCtXTmP4p0hWC0GZMmXyrF/Iy/y7z0iFChXE09NTGdFy7do1cXR0lOrVq0uTJk2kc+fOYmVlpdGhW9syMjLk4cOH8v7778v3338vCQkJMmrUKPH29pYRI0bI3bt3JTMzU7777jtp2LChdOzYUWd9p7KP9vL09BR7e3txd3eXVq1aSUpKijx8+FA6deokFhYWUr16dWnUqJEUK1YszztTivzz+u7YsaO8//77UrZsWfn444+VAJKUlCSBgYEyd+5cnTb9P3v2TCZMmCAqlUp8fHxy9JtJSkqSrVu3So8ePaR///467Q/yOkaNGiW2trby0UcfSd++fcXMzExatmypnGZdunSpNG7cWFq0aKF8SchOm6fPHz9+LN9++61UrlxZevbsqWz/5ZdfpHXr1uLv76+T/kYvk/01c+LECdm/f7/ymCMiIqRBgwbSqVMn5QtlVFSUtG3bVnx9ffPkuf3rr7+kdu3a4uDgIF9++aXGdWvXrhVfX1/p1auX0o8qP7SeMQC9w/bv3y+xsbEiktWj3tnZWRYsWKBxauTs2bNSrVo1nfVviYqKkooVK+YYfXHs2DExNTXVeLGrX/CHDx9WvsX/u2n2dWU/blRUlPz+++/KtP6PHz+WPn36SLNmzZS+UKmpqTJ27FipVq2a3vqI/Nu+ffvE1NRU5s+fL8HBwTJ9+nRRqVRKh9XExESZPn26DBo0SIYPH66zDs/q32NKSoo8f/5cBgwYILdv31aunz59uhKC1B9AT58+1fmcHWFhYWJubi5Lly6VgwcPSkhIiLi7u0u9evUkLS1NRLLeYL/66iuZM2eOzkYCZace3iuSNfonKSlJaYH6448/pGzZshqtjyIi48aNEzc3N623POb2QfL333/L3LlzRaVSycKFCzXqzo2++/xERESIk5OTxqm4yMhIsbOz0xjBN2/ePPn4449zfRxv84Ga220fP34s33//vZQvX14jBO3bt08aNmwo7du3z9NTvmojRoyQEiVKiK2trdjZ2SmjasPCwqRt27ZiY2Mjzs7OUqlSJalZs2aedmqfPXu2ODs7i7+/f44vtuvWrZPKlSvLwIED5enTpwxA9ObGjh0rLi4u8uOPPyofAhMnTpTixYvLlClTJCwsTK5duybNmzeXRo0a6fTFr34TOHnypHI/N2/elNq1a8uQIUNytD71799fBg8enKPz6utQf/PJ3kJQpkwZcXd3FxMTE+ndu7ecO3dO7t+/L/369ZOyZcuKvb29NGjQQEqUKKGXkRoimlP5q2sfMGCA9O7dW2O/nTt3ikqlUoJbXs1ovGPHDqlfv75UrVpVKlWqlONNbPr06VKrVi0ZMmSIToa559YkPm3atBydwW/evClubm4apyjywqZNm5R5hkSyXnfe3t5Srlw5+eijj5T+NqtXr5YiRYpIw4YNpUePHtK5c2cpXry41l932V8Pd+/ezdGqOWXKlBxLNGT/0qC+rG+HDx8WR0dHpQVbHchOnTolFhYWGn0FdfW3cPjw4RxL8Tx+/Fh++OEHcXNz05iv7MCBA8ryG7qW/fk5cOCAVK1aVUJDQ+XWrVvSq1cvKVWqlLIkR3x8vJw4cUIWL14sO3fuVEK6LgLui1438+bNEy8vLwkKCsqxruOmTZvy1bpzDEDvoEmTJknp0qXlyJEjyhw2avPmzZMaNWqImZmZeHl5iY+PT558A3j48KE4OTlJnTp1lG0LFiyQcuXKyaBBgyQ0NFQiIiIkKChISpQo8cL5SF7FwIEDpX///sof9eHDh5XJ+SIjI2Xz5s1K/4bz589LSkqKXLhwQaZPny6rVq3SW9+fJUuWSPny5TVOX6Wnp0vTpk2VERzqjrQiWSG3Zs2a8uDBA+WNTJeTCl68eFHMzMxk7Nix0rVrV3FycpKOHTvmCEFjx46VRo0aKacmtEU90dy/Ty30799fvL29lcvq513dGTz7B5EuP8yvXLkitWvXloCAALl06ZLcvn1bSpQoIXPnzpUJEyZIQECA+Pr6KlP8X7x4UXr16iW9evWScePGab0VNvtjHT9+vFSpUkWKFSsm1atXl7lz5yp9oKZOnSpGRkby3XffafX+tUH9Wr9+/bqYmppqTA2QmZkp9+7dEw8PD1mzZo3G7bTd2iOSFbQdHR1l/PjxGttTUlLkk08+EZVKpdHROK8tX75cpk6dKhMnTtTY/uGHH0qpUqVk9erVuZ4G1OVQ9yNHjsj48eNl0qRJGoNt5syZI97e3jJs2DC9jYx7FQxA75j4+HipW7euMpFaXFycnD59WoYNGyZbt26V9PR0SUhIkFOnTmm0yOi6iTszM1OOHj0q7u7uGqODli1bJs2aNZNChQpJxYoVpVKlSm/VP2PDhg1ia2urcYwZM2bI+++/r7FfWFiY+Pr6anRA1bf79++Lk5OT1K9fXy5cuKC8iUyfPl2cnJyUoaLq52z+/PkaTdi6dObMGVmyZInGcgzLli2TRo0aSY8ePXJ829XV6cM+ffpI8eLF5ZdfflG27d27V9zd3XNMHvjzzz+Lq6urxmk6XduyZYv4+/tLhw4dZMaMGTJu3DjlukOHDskHH3wgdevWzTHLuC7NmjVLSpYsKRs3bpRjx47Jhx9+KHXr1pWgoCBJSkqSjIwMmTlzpqhUKo2Z2PVt5cqVEhwcLImJifL8+XP56KOPpG7durJr1y5ln5SUFKlSpUqO2bPfVmxsrDIC6ccff5TVq1fLo0ePZObMmVKxYkUZM2aMxv7fffed1KhRQxo1aqS3WeLr168vKpVKPvjggxzv5wMGDBBHR0dZunRpnq1Dtm3bNrGwsJBWrVpJvXr1xNLSUtq3b6+8f82aNUtq164tAwcOzLPWstfFAPQOOXPmjMTGxoqtra18//33sm/fPundu7fUrl1bPDw8xMPDI0eHXxHtt/xkn+E5PT1d4wP6xIkT4uzsrBGC7t+/L5cvX5YrV6689QfnnDlzxNPTU0SyTtd8/fXXMnPmTKU/SPZvd6tXrxZzc3Oln5Q+qU9TJiUliZubm/j6+ipTA5w7d06aN28u7dq10+jf8/nnn4ufn5/St0RbRo4cKcHBwcrl2NhY8fPzkyJFiijDt9W+/fZbadCggfTp0ydHc7Y2ZX/eBg8eLNbW1sp6VLdu3ZIPPvhAWrVqpXwQpqenK0um6HI6ALXs36K3bt0qAQEB4uLiIkOGDNHYTx2CGjRooLH2na5a7h4+fCgNGzaUxYsXa1w3Y8YM8fLyUgJPUlKSrF69Wu99fdTUsxavWrVKOe11/PhxCQwMFA8PD5k0aZKsWLFC/Pz8pGrVqlptxXj06JFUq1ZNevfurSzloj5FGB8fL9OnT5fKlSvL6NGjlduMHz9eJk+erNWO1i+T2zB/EZEuXbqItbW17N69O8dz2alTJ2nTpk2enNKMiooSNzc3pX9ZamqqHDlyRBwcHDROV0+ePFkaNWqUa6f1/IAB6B3x+eefS/HixeXZs2cyfPhwKVasmBQpUkSGDx+uzEvh5+cnn3/+uc5qiIiI0Pgw3rVrl3Tv3l2aN28uO3fuVPoCZQ9B2v5jPHXqlFSoUEGaNm2qfKPdtGmTFCpUSFkrSO348eNSsWLFfPHtQ/17iI+Pl59++klUKpW0bNlSORUYEhIizZs3l9KlS0unTp2kZcuWOhnt9ejRI5kyZUqOUVvr1q0TX19fcXNzyzF/znfffSdVqlSRQYMG6ewDVP0mf/ToUdmyZYsUKlRIHB0dlZagCxcuSJcuXcTV1VU8PDykSZMmOulT8yL/fh3v3LlTfHx8pGzZsjmGXh85ckSaN28u77//vs47yaalpUnt2rWVlrvsz0/Dhg1zXQJE3yFo8eLFYm9vrzFTvdqdO3dk8uTJ4uDgoIww1NYotUOHDilfRI4fPy729vaiUqlkxowZGvvFx8fLl19+Kc7OzuLp6SmtWrUSS0tLnc7ZlF32wJOZmanUrNa8eXOxt7eXffv25Xgu1bfV5alykazRqS4uLjkGZISFhYm1tbXGqcz79+9rvRZtYQB6B8TExMinn36qsWjpqVOncvSjadasmUydOlXr95+ZmSlhYWEanXIPHTokFhYW0rdvX2nZsqUYGxvL5MmTlU6+J0+eFHd3d6levbrWW6CGDBkiKpVK6tatq2zr3r27lCxZUkJDQ5V+UcOHD5cqVarkmz/AkJAQKVKkiIwaNUpatWolNjY2UqdOHWVE3B9//CELFiyQwMBAGTFihM5Ge6nfNPft26exxlJISIj4+vpK06ZNc5xWCg4O1mkLkEhWi56FhYVMmjRJhgwZIo0aNRIrKyulT9CdO3fk2LFjMmLECFmyZEmeL2/x66+/yoQJE5RTIDt37pQmTZpImzZtcoSg48ePa/3U3IuWsGnRooU0bNgwxwzAo0aNkk6dOuWLTs7Z9e7dWz799FMRyfogXb9+vTRq1EiaNWum/B4fP36sMVLobUPb+vXrpUmTJhIfHy+ZmZly//59KV26tJQsWVIGDRqU44vGo0eP5NixY9K3b1/5/PPPldPTupb9Of7666+lW7duUqtWLVmzZo3GF7nmzZuLg4OD7N+//4UhSBe2b98uixcvloSEBLG2tlY6X6v9/fffUrly5TxZm1AbGIDyubVr14qFhYV4eXnJ9evXc7y4k5KSJCIiQlq1aqWxwJ0ujBo1SkxNTSU4OFhmzpwpixYtUq775ptvxNraWiZOnKiEoKNHj4qXl5dWPzhTU1OVTsOVKlWSbt26iUjWB0GvXr3E1NRUqlSpIvXq1dPraK9/i4mJkbJly8pXX32lbPvrr7+kTJky4uPjI5cuXVLe7PPiAystLU3Gjh0rKpVK47Tp5s2b5b333pOmTZvmaV+Hx48fi4+Pj8YpuIcPH0qvXr3EyspK9u7dm2e15Gbbtm1iZWUlX3zxhcaHYUhIiPj5+UmrVq20NglfbrL/3V++fFlu376tfCDeuHFDbGxsJDAwUB49eiRpaWny7Nkz8fX1zXGKTp/ULRkff/yxNGvWTKZMmSKNGzeWNm3aSJ8+faR9+/ZSuXJluX//vtZHqaWkpCidcdX/Pnz4UA4ePCguLi7Sp0+fF7a25kWL2b/f18eMGSOlS5dWFmi2srKSkSNHanzpDQgIEJVKJadOndJ5fSJZp+ptbW1l+fLlkpycLH379pXmzZvnmHyxUaNGyoLJ+R0DUD7322+/SUBAgBQpUkRpgs3e5+aXX34RX19fef/993U2oVn2440ZM0ZMTEykXLlyGr3+RbKatq2srGTy5MnKOV9dzBGjPq3www8/SIUKFTTm6NiyZYssWrRIFixYoLfRXuphxtnf1BISEsTd3V2ZpEz9pnrt2jUpUaKEtG/fXlnBPK/cunVLJk6cKFZWVvLtt98q2zdv3ix+fn5So0aNHBNr6sqjR4/E09NT6Yuh/t3dv39fWchRVzOG/5c//vhDnJycZMWKFbleHxISIgEBAdKwYUOdT8A4cuRIcXV1FXt7e6lQoYJGi6ytra1UrlxZGjRoIPXq1ZNKlSrp/XSX2urVq2Xbtm3y/Plz+e2336R79+7i7u4us2fPVn5n3333nbRs2VLrnf6z/x1evHhRqlevLl999ZXSWXj37t3i4uIi/fv3V2oZO3asxjqKeWnTpk1StmxZ5RTh2bNnRaVSScmSJeXjjz/WOBU3bNiwPJnk8OrVqzJx4kQZPny4su3w4cPy/vvvS9OmTeXbb7+V48ePS1BQkBQvXjzfzLL/XxiA8rnMzEw5efKk1KxZU9zc3JTWFfWL/unTp3L48GGdzvcgohm61BP1BQUF5eig++2334pKpZKZM2fqfM6ax48fS3BwsFSoUEFpCdIn9TfV7B0lz549K3/++ac8efJEnJycNIbYPn/+XNLT06VRo0aiUqnE39//rSeG/K/a7t27p9HHJyYmRsaOHZsjBK1du1batGmj89Ne2bVt21bee+895TWsrrl3795SqFAhcXZ2luTk5DyrRy00NFSqVasmMTExuS40KZL1odW+fXut9zfL3vrx008/iZ2dnezZs0e2bt0qkydPFiMjI5k2bZqIZIXFqVOnyujRo2XGjBn5ZmHTkSNHSunSpWXlypXKF6Pk5GSNU9OZmZnSsmVL6dq1q05bQFNSUqRLly7SoEEDmT9/vkYIKleunDRt2lTatm0rhQsX1lj5XVd69eqlMfLy2bNnymkmkazTrEWLFpX169fLjz/+qLzv/rtlW9shKPtzkJiYKDVr1pQSJUrkGFV79OhR+eijj6RYsWLi6ekpXl5eepmF/U0xAOVDISEh8s0338iiRYuU/iERERFSv359qVSpkjL/yr/f2HQ538O/jR07VoyMjGTZsmU5PpRWrFiRZx0Gk5OTJTg4WKpUqSJt2rTJk/t8mdjYWKlbt67s3btXdu/eLUZGRnL06FERyQqH9vb2OUbqff755xIWFqbzb00hISFSvnx5qVChgjRp0kSZkCw+Pl4JQdlr09WIF/Vr6v79+xpr1P30009Ss2ZN+eyzzzQCxqeffiq//PKL1ucdyi63zqPqMLp69WoxNTVVXufZ/87OnDmjnCrU5QihnTt3yoABA3J02F25cqWoVKocq5Sr6Xt5i6+//lrs7OxynB5UB4+///5bdu3aJf7+/uLl5aV80dJWCMrtOMnJydKnTx/x8fHRCEG//fabDBs2TPr27ftW85S9qkePHsmaNWtytHhFR0dLTEyMxMXFSe3atZXT5o8ePRIHBwcxNjbWSR+b7Auoqp05c0ZSUlLkp59+Ei8vL6lYsaIcP35c43aZmZmSmJgot27dypMRmdrEAJTPjBgxQuzt7eWDDz4Qb29vqV69uvzwww8ikrW8RMOGDaVKlSp5MrRb/eZx6NAhGTlypAwdOlRjgcLRo0dLoUKFZOnSpXqZEl4tOTlZvv32W6lTp06enbJ5kYsXL8qAAQOkTJkyYmpqKlu2bFGuu337tvJt+IsvvpC1a9fK0KFDpWjRojobJqp+Ds+fPy+lSpWS6dOnS3BwsNSqVUujmT0+Pl5ZP0r9etOlkJAQqVu3rpQpU0bpV5ORkaFM5FmvXj2ZNWuW9OjRQ6ytrfNkeYtbt24pp7k2btwo/v7+kpaWJtevX5cqVarIyJEjlQ726mDRt29fmTlzptZbLbIHwKtXr0rt2rWlaNGiMmHCBBH5ZyqKjIwM6d69u3Tv3l3p+5NfZGZmSo8ePZTTJn/99Zds3bpV/Pz8pHv37nL48GGJiYmR3r17S8+ePbXeYpV96Z2JEyfK0qVLlakn1MvkqEOQ+lR9enp6nq2bJfLP62j58uXSo0cPjX0iIyOlYsWKSh+bW7duydChQ2Xjxo06qzE6OloqV66shJ5ixYopM5//9NNPUqNGDenZs6dGoM1Pr7nXxQCUj6xfv16cnJyUD6Xg4GAxMTFR1noRyRpdVaFChRx/LLqi7vw5YMAAGTp0qDg5OUmTJk2U68eOHSvm5uby9ddf6zUEqRfGzA/Wrl0rKpVK7O3tc/RbuXv3rvzwww/i7u4uXl5e4u3trfMm4zNnzsiOHTuUD0+RrDf6hg0bipubm/JmFhsbK9OmTdPJqu7ZA8Lp06fF1tZWJkyYIDNmzJAyZcpIu3bt5NSpU5KZmSm//vqrdO7cWerWrSvNmzfX6cKvas+ePZPBgweLt7e3DBo0SIyNjZUg+Pz5c/niiy+kfv36MmzYMElISJArV67IuHHjxNbWVuuj9bKHn59++kkSExOVxXKzP19qn3zyiTRv3lyrNWjD06dPpXPnztK2bVuZM2eOvP/++9KyZUvp1KmTtG3bVpo1ayYiWR+62hrt9W87duwQc3NzqVu3rpQvX168vb3l559/FpF/QpCvr6/MnDkzx3BzXfnyyy9FpVIpU1EkJyfL9OnTpWLFivLJJ58o+4WHh4uNjY3MmDFD9u7dK61atRJ/f3/lel2EoFu3bsl7770ndnZ2YmxsnKNlccuWLVKrVi3p2bOnEibfZQxA+cjUqVOle/fuIpLVEdXa2lqWLl0qIll/rOo1tS5dupQn31Ju3bolnp6eyvnov/76S2xtbWXgwIEaH2hDhw4VGxsbZep9Q5T993HhwgVZvny5DBkyRDw9PWXz5s059n/27JmkpKTIo0ePdFrX06dPpXz58qJSqTQ6i4v8E4LKly+vfMvT9utq48aNGoHq+vXr8tVXXyn9VkSyAlHNmjWlTZs2cuzYMWV7SkqKzj+Uvv/+e2VGYJGsqSRUKpX06dNHY7+0tDSZNGmS1KxZU4yMjKRy5cpStmxZrY8yzP46GjNmjNjZ2Smdcbdt2yaNGjWSgIAA5X6Tk5OlUaNGOdaS06fsc9ccPnxYmjVrJi4uLjJz5kxlxNLcuXOlZcuWOl2TLC4uTsaPH68E2ePHj0u/fv3ExcVFdu7cKSJZ76sdO3YUPz+/PDt9c/bsWenYsaM4Ojoq4T4xMVEWLFggXl5e8tFHHyn7zpw5U2xtbcXd3V3q16+v9VOEuVF/gStRooRyijr7abotW7ZIvXr1pG3btu9Uf5/cMADlI6NGjZKxY8dKeHi4WFpaKuEnMzNTgoODZe7cuRovRF33+bl27ZpUqFBBRLK+pTk5OcngwYOV67NP9599kU9DdfDgQY1vaKdOnZIPP/xQPD09ZevWrcr2Xbt2aX1dqJe5deuW+Pr6Srly5ZR+Rtm/catborTdAfv27dvSoEEDpWPwgwcPxNHRUczNzZV5YNROnjwpNWrUkE6dOuVYC0xX1NNHqE9HZGZmStu2bcXX11caNmwo33zzjUaLREZGhjx48EB27dolp06dyjFhpDZNnTpVbGxs5NSpUxotmzt27BBfX1+xsrKSRo0aSWBgoHh7eyuBQ99z/sydO1d69eollSpVkoULFyqd6P+9CHDLli2lV69eOqv3999/l6pVq0rNmjU1Jly8ePGi9O/fX5ydnZUQlJycnOenzi9evCjt27cXe3t7JUQkJibK/PnzxcvLSwYOHKjse+nSJbl69apOlzVSPw+pqanyxx9/yMqVK6VFixbi4OCgvGdk/zKydetWady4sd67HLwtBiA9u379uty9e1fS09Pl2LFjolKpRKVSabQaJCcnS/PmzSUoKChPagoPD5dFixbJzZs3xdfXV37++WdxcXFRVnAXyZqLpGfPnsrQbX2/8eYH+/fvF0tLS43TEadPn5YBAwZIhQoVZNGiRTJp0iQxMzPT2ezU6ufhypUrcvr0aWV18tu3b0uVKlWkdu3ayn1nD0G6Gu2l7mB68eJFefDggYSHh4uLi4s0aNAgx7fH06dPi5ubm/To0SPPTqeqWy3Pnj2rBKGnT59K9+7dpV69erJ48WKNDxxdTOvwb/fv3xc/Pz/58ccfRSRrAsjffvtNBgwYIBs3bpT58+eLr6+v1KxZU2Nofl6sGfcyo0ePFltbW1m8eLHMmjVLypYtK61atVJGez18+FB27twpLVu2lCpVquisw3NERIR8++230q5dOylSpIj89ttvGvtdunRJBg4cKEWKFMmzsP3vGkWyWopfFIKqVq2q0RKkpouRteqa9u7dK5999pkcOXJERERu3rwpfn5+Ym9vr7GC+65duyQ5OVmvXR60hQFIj0aNGiWenp5SsmRJadSokSxdulR++OEHMTU1lXXr1klUVJRcvHhR/P39pXr16nnS2ezZs2fSt29fady4sTx8+FDq168vxsbG0qtXL439vvjiC2nQoIFOR+a8a549eyahoaHi6OgoTZs2VbZHRETI559/Li4uLlK1alWdTZinfiPbvn27uLq6SsWKFcXc3Fz69u0rMTExSgfH2rVrK7MU50VwffTokXh5eUm3bt3k/v37Eh4eLs7OztK3b1+5ePGixr7Zg4guZW89Vb/R+/n5Kf0aHjx4IN27dxdfX19ZtGiRZGRkyPjx46V169Y6P/384MEDcXBwkHHjxsmhQ4ckMDBQ6tSpI7Vq1RI7OztZvny5bNmyRVk/Thd9tl7XyZMnxdPTUxk6fuTIESlcuLDGKu43btyQdu3aSWBgoM6G6O/evVvs7Ozk0KFDEhYWJu+//754enoqp3jVzp07J0OHDs2z2cRfFFwuXbokbdu2zRGCvv76ayldurTGxKm6FBISIqampjJz5kyNv8lbt27J+++/L/b29rJnzx4ZPny4lCpVKl+v8P46GID0ZMOGDWJnZyc7duyQVatWyYgRI8TU1FQ++ugjWbhwoZiZmYm9vb14e3tLkyZNdDbJYW4iIyPFwsJC9uzZI5GRkWJpaSmBgYGybds2OXLkiHz22WdStGjRHOtJGaLs/UdEsp6fAwcOiKOjo9LJUySrr8G9e/d0fqpw3759UqxYMVm+fLmkpaXJnj17RKVSSWBgoDJ7sLe3t5QrVy5PZ3o+ffq01KpVS/r37y8PHjyQo0ePKiHo37/DvLRr1y5ZunSprFq1Svz8/KRdu3YaIahv375SuXJlqVKlipQsWTLHB6mufP/991K8eHGxtraWkSNHKgvDdu/eXT788EMRyepf1bx5c2nSpEmeDNt+mfDwcPH29haRrDmRsp/CT05OVgYD3L17V2ench48eCCfffaZzJkzR9l26NAh6dChg1SvXj3HRKN51ek5e/gJCQmRlStXypo1a5Q51P78888cIejevXs6He2V3bVr18TDw0N5vv7t7t270qFDB3F2dpZKlSrpdMbzvMYApAcHDx6UAQMGaEwX/ujRI1myZIlYWVnJrl275MaNGxIWFiYRERF5cu5XTX1f//vf/6R9+/YiInLgwAGpX7++2NvbS+XKlcXX1zdPRubkdzExMVKqVCnp0qWLxvb09HTZuXOnmJiYSGBgYJ7V8+jRIxk0aJBMmTJFRLI6rbu7u8sHH3wgRYsWlbZt20pUVJRERUVJvXr18qSlJbuIiAjx9vbWCEFly5aVTp065claS7t371ZCu/p137FjR6WT//r166Vp06YaIejRo0eyefNmWbx4cZ61FqjdunVL4z4zMjKkWbNmGquUr169Wtq2bav1dcde1/79+8XT01M2bNggRYsW1Vhj7tdff5Xu3bvneCzadPLkSbG3t5dq1aopo7zUDh48KO3bt5c6deooc3Lllezvr1988YVYWVmJt7e3mJqaiq+vr9I38OrVq9K+fXtxcnLKEdR0HYJOnDghbm5uGl9EcmsZvnTpksa8XQUBA1Aei42NFXd3d7GystKYAVQkq+mzXbt2MnTo0By30+WsymFhYbJ27VqN+9i2bZsUL15cWWE9ISFBbt26JXfu3NH5yKV3xZMnT+SHH36QMmXK5DhF+OjRI6lZs6aoVCpp27ZtntSTlpYmmzdvluvXr8v9+/elevXqSmvB+vXrRaVSSYsWLeTOnTt6m7sjewj6+++/5eDBg1KlShWdd6aMi4sTNzc36devn0bYatiwocZphk2bNikhKL+McHn8+LEcOXJEWrduLV5eXjmeO11OwPgyS5cu1Wg1aN68uahUKo3w8+TJE2nVqpV88MEHOp8ZXn3/c+bMydEf6tChQ9K0aVNp3LixPHnyJM/7LKpbXk+fPi2pqaly7949ZRFb9Tp3Fy5cUNZGE9H96Wn18X/66SextbVVWoSzt4ydOHFCYxHugoYBSA8uXLgg7u7uUqNGjRzDaD/88ENp0aJFntWSlpYmw4YNE5VKJR07dtT4MBg4cKDUq1dPb2+w+Y36DePChQuyZ88e2b17t0RFRcmaNWvE3d1dY5h5RkaGfPTRR7Jt2zZl+oK8oO6ku3btWqlXr57SMrBhwwZ57733pEyZMno/fx8RESG1atWSLl26yMOHD5WO0rp29uxZqV27tgwYMED5ttu8eXOls7HaunXrpGnTptKkSZMcfZTyWmZmphw8eFBat24t/v7+GqfC9TnwYPjw4eLs7Czjx49XXmNnzpyROnXqSLly5eTHH3+UxYsXS/PmzaVy5cpKaNN2CPr99981FgNt2bKl2NjYyL59+3K0nBw5ckQvLWUzZ86UNm3aSOfOnSU1NVV53uLj46V+/frSsmVLZd8bN27oNCi+aGZsR0dH6dy5c47rhg0bJmPHjtXZEj36xgCkJxcuXJBq1apJ7969lW+aSUlJUr9+fY0hkHnl8uXL8vHHH4unp6d4enpKcHCwLFy4UNq2bauMJKKsOTBKliwp3t7eolKp5L333pOZM2fKmjVrxM3NTdq0aSO//PKLDBs2TCpWrJgnM3bnZurUqVKlShVlbpPRo0fL4sWL9T5SSO3UqVPSqFEjnQ4lz01ERITUqFFD+vfvL5cuXZLAwMBcv+EuWbJEevToofdTSyJZo9J0fSr8daxdu1ZsbW1z9AV5/vy5/PHHH9KlSxfx9PSURo0aSf/+/ZXXnDbrzszMlPj4eClfvrx069ZNoxY/Pz9xcHCQ/fv3630pkIyMDFm4cKFYWFiIh4eH8mVS/Ts5cuSImJiY5Ajauhztdfz4cZkxY4aMHz9eNmzYICJZLf4lS5aUDh06yOXLlyU8PFxGjx4tRYsWzZPT0/rCAKRHERERUqlSJbGzs5PWrVtLx44dpXr16nqb0+PJkyeSkJAgH374oTRv3lwcHR1FpVLJZ599lqd15FcRERFiY2Mj33//vTx48EBiY2Old+/e8v7778ucOXNk7969UqFCBSlXrpxUqFBB65PkvW6t6n4GzZo1E2tr63zXaT0vhpTnRt0C1adPH7G0tJSyZcuKn5+fvP/++9K4cWPx8/OTjz/+WG/h9WV0fRrpVYwZM0aZePFFizDHxcVpbHvb8POiVugNGzaIl5eX9O/fX2O+n2bNmkmZMmVkz549eRqCcnt+kpKS5IcffpDChQvLmDFjNK4LCwsTd3f3PGslVgeddu3aSf/+/UWlUsn48ePl77//lgMHDkj58uXFwcFB3NzcxMvLS6/vYXmBAUjPLl26JG5ubtKwYUON8+n6/qZ+4cIF+eabb6RcuXLs8Pz/1q1bJ5UqVZJHjx4p4TQ2Nla6desmTZo0kczMTHn+/LncuHEjXywKePz4cenZs6d88skneh8llN+cPXtWvLy8pFq1atK9e3dZvXq1LFy4UCZNmiTTp08v0N9631avXr2kYcOGymX138KTJ0+U0WrZve0XuYEDB0q/fv2UL4b/PmW6detWqVixonz44YcaLUG1atWSihUr5tl8NdnDT2RkpJw5c0bjVOWSJUvE2NhYhg0bJkePHpXff/9dWrRoIXXr1tVZsM1+3D///FNcXFyUPlp37twRc3Nz+d///qfsk5aWJuHh4fL7778bxOS2DED5wLlz58THx0cGDhyYJ4s+vsy/36wK6rnfN7FhwwZxd3dXWgbU32pv3rwpKpVK6cyYn2RkZHCSyhc4d+6c0ico+0RvlFP2Ve8XLlwoFSpUkN9++02jw2x8fLw0aNBAq5MLbtiwQWxtbZVuAseOHZPx48fnaDHZsmWLODk5Sc+ePTVaLfTR323UqFFib28vRYsWFXd3d5k0aZLSyf/bb78Vc3NzUalU8vnnn0u7du2U91hthqDsa3ipj3vixAnx9fUVkaz3LEdHR43JFvNLp/+8xACUT0REREidOnWka9eu+WJiMzV+eP7j+vXrYmpqKuPHj9fYHhUVJV5eXsokcPTuiIiIkNq1a0tgYKDWFzUtKMaMGSNeXl6yefNmycjIkCdPnki1atWkdu3asnXrVomNjZVr165Jq1atpH79+lo95TRnzhzx9PQUkayZih0cHKRkyZIyduzYHLOXL168WKysrKRr1655OldN9uCiDmI7d+6Uy5cvy8iRI6Vu3boyaNAgZdLYlStXioWFhUycOFG5nTbnJLp9+7aYmprmWCD3+PHjUqlSJTl48KC4urrKoEGDlOfq1KlT0qlTJ2XZC0PBAJSPnDp1Sho3bpznHUPp1f34449iYmIio0ePlmvXrkl8fLyMGzdOnJ2d3/l1cQwV/+5ebPr06VKqVCk5cOCAxmLHKSkp4ufnJ5UrVxZTU1OpXr261KlTR+sTtp46dUoqVKggTZo0ESMjIzl8+LAsX75cHB0dZfTo0Rotd5s2bZKqVatKgwYN9PJcrl+/XubNmyezZ8/W2L5o0SKpUqWKMit2cnKyLF26VIyNjWXGjBk6qeXQoUPi4uKiMaL41q1b4ufnJ9bW1sqi22ojRowQPz8/SUxM1Ek9+RUDUD6jr46h9GoyMzNlw4YNYmVlJS4uLlK+fHlxcnJSJs6jdxP/7jRlZmZKYmKi+Pj4yPfff69xnbq1Ij09XX7//XfZuHGjhIWFvbBD9NsaMmSIqFQq8fHxUbYtWLBACUHqEVTjxo2Tb7/9VmPx2LySlJQkDg4OolKpZMCAATmub9++vUa/qbS0NFm+fLmoVCqdLHeRmZkpR44cEXt7ewkICFC2L1++XEqXLi1Dhw6V8PBwOXfunAQFBUmxYsX0PuWDPqhEREBEr+XWrVu4cuUKMjIyULVqVTg5Oem7JCKtun37NmrWrImNGzeiadOmyMzMhJGREQDgyZMn+Pvvv+Hg4KBxm4yMDBgbG2uthidPnqB169YoW7Ysjh8/jqpVq2LDhg0AgG+++QbLli1DWloaSpUqhYsXLyI8PBxVqlTR2v2/SPbfhdrt27fRtWtXxMbGYteuXahUqZJy3dy5c7F792788ssvMDMzAwCkp6dj3bp1qFu3LipWrKiVukQEKpVKuXz06FH07NkT5cqVw4EDBwAAX331FXbu3IlTp06hUqVKUKlUCA4Ohre3t1ZqeJcwABERUQ7Pnz9H+fLl0aZNGyxcuBDAPwHn+PHjOHv2LPr06QNra2ud1pGamgoLCwsEBwdjzpw5qF69uhKC9u/fj8uXLyMhIQG9evVChQoVdFoLoBl+Dhw4gOTkZBgZGaFt27a4c+cOWrZsiUKFCmHZsmXw8PBA4cKFERAQgNKlS2Pbtm06q0sdfk6cOIHz58/j77//ho+PDwoVKoRBgwbByclJCUGxsbGIjY1FiRIlYG1tjRIlSuisrvyMAYiIiAD884EuIujQoQNmzZqFLVu2oHv37hg+fDiArGDUunVrWFlZYfPmzRotDrqUnJyMLVu2KCFo/fr1eXK/2WVvYRkzZgzWrl2LUqVKITIyEoGBgZg+fTpEBG3atMH169dRoUIFeHh44MaNGzh27BhMTExytNJo07Zt2/Dhhx+iRYsWuHXrFjIzM+Hl5YXevXuja9eu8PLywt69e3Vy3+8k/Zx5IyKi/GT06NHi6Ogo1atXFzMzM/nkk0/k119/lc8++0wqVKggzZs3lwEDBki9evWkSpUqSofnvBwpmpycLMHBwVKlShVlzSx9mD17ttjb2ysLly5evFhZTig6Olqio6PlvffeE2trazl+/LhyO13O73b58mVxcXGRZcuWKZfNzc2VUatHjhwRd3d3qVu3rs5qeNcY/XdEIiKigmzOnDlYvXo1QkJCEBERga+++grffvstNm7ciM6dO2P27NkoUqQIUlJS0KBBA5w7dw6FCxfG8+fP86wFCACKFCmCLl26YMiQIYiPj0dMTEye3bdaTEwMLl++jK+//hp16tRBSEgIJk6ciPHjxyM0NBTDhg3Ds2fPsGbNGjg6OuLzzz9X6ixcuLDO6rp9+zZKliyJwYMH4+bNm2jRogV69uyJadOmAQDMzMzw3Xff4fHjx7h9+7bO6nin6DuBERGR/ty9e1f69OmjTJ63bds2KV68uIwfP16sra2la9euEh0dneN2+lxnKyUlRS+jvUSyRgyGhITI33//LadPnxZXV1dZuHChiIjMmzdPVCqVNGnSRBISEuT27dvi5eUl5cuXVyaS1JVff/1VWrZsKTdv3hQnJyeNeX6OHj2qzJ2UV4sPvwvYAkREZMBKlCiBdu3awd/fH2fOnMEXX3yByZMnY9q0aZg4cSI2bdqE3r1752g10OZor9dlYWGBokWL6uW+zczM0Lp1axQrVgwHDhxA5cqV0adPHwCAiYkJevbsCVNTUxQrVgxOTk74+eefUbx4cTx79kyndXl4eCAsLAxly5ZFx44dsXz5cuU52rRpE86cOYOiRYvC3Nxcp3W8SwrpuwAiItIf9Qd64cKFc3ygm5qaomfPnkhISICjo6OeK80/ChXK+uj8888/8ejRI6hUKjx9+hT79u1Dz549ERgYCCCrw3iZMmVw9OhR5Ta64urqivXr16NHjx4wNzfHtWvXkJaWhtWrV2Pt2rU4cuQIihUrptMa3jUcBUZEZODk/0cm9e/fH9euXcPu3bthYmKCzp07a3yg5zb/jSE7ceIEGjVqhAoVKiAtLQ1mZmaIiIjQedh5kYyMDKxduxb/+9//YG1tDSsrK5iYmGDlypWoXr26XmrKzxiAiIgIQP77QH8XREREICQkBNbW1ggKCkKhQoXw/Plzvf7O7ty5g6ioKFhaWsLJyQk2NjZ6qyU/YwAiIiJFfvxAf5fwd/XuYAAiIqIX4gc6FVQMQERERGRw2JuNiIiIDA4DEBERERkcBiAiIiIyOAxAREREZHAYgIiIiMjgMAARERGRwWEAIiIiIoPDAEREREQGhwGIiPKFyZMnw9vbW99l5BmVSoUdO3bouwwig8UARESUi2fPnum7BKSnp+u7BKICiwGIiLQmMzMTc+bMQbly5WBqagoXFxfMmDEDADBq1CiUL18eFhYWKFu2LCZMmKCEjFWrVmHKlCm4cOECVCoVVCoVVq1aBQB4+PAhBgwYAFtbW1hbW6Np06a4cOGCxv1Onz4dpUqVgpWVFQYMGIDRo0drtCZlZmZi6tSpcHJygqmpKby9vbF3717l+qioKKhUKmzatAmNGzeGmZkZvvvuO1hbW2Pr1q0a97Vjxw4UKVIEjx8/funvIj09HUOHDoW9vT3MzMxQpkwZzJo1CwDg6uoKAOjQoQNUKpVyWd0K9v3338PNzQ1mZmav9fsnolfHFe6ISGvGjBmDFStW4Ouvv0aDBg0QGxuLK1euAACsrKywatUqODg44NKlSxg4cCCsrKwwcuRIBAYG4vfff8fevXtx4MABAEDRokUBAJ07d4a5uTl++eUXFC1aFMuXL0ezZs3w559/okSJEli3bh1mzJiBb7/9Fr6+vti4cSPmzZsHNzc3pa6FCxdi3rx5WL58OapXr47g4GC0bdsWf/zxBzw8PJT9Ro8ejXnz5qF69eowMzPDhQsXsHLlSnzwwQfKPurLVlZWL/1dLFq0CDt37sTmzZvh4uKC27dv4/bt2wCA06dPo1SpUli5ciUCAgJgbGys3O769evYtm0bQkJCNLYTkZYJEZEWJCUliampqaxYseKV9v/qq6+kZs2ayuVJkyZJtWrVNPY5cuSIWFtby9OnTzW2u7u7y/Lly0VExMfHRz755BON6319fTWO5eDgIDNmzNDYp3bt2jJkyBAREbl586YAkAULFmjsc/LkSTE2NpaYmBgREYmPj5dChQpJWFjYfz6+Tz/9VJo2bSqZmZm5Xg9Atm/frrFt0qRJUrhwYbl3795/Hp+I3g5PgRGRVkRGRiItLQ3NmjXL9fpNmzbB19cXdnZ2sLS0xPjx4xEdHf3SY164cAHJyckoWbIkLC0tlZ+bN2/ixo0bAICrV6+iTp06GrfLfjkpKQkxMTHw9fXV2MfX1xeRkZEa22rVqpXjOJUrV8bq1asBAD/++CPKlCmDRo0avbRuAOjbty/Onz+PChUq4LPPPsOvv/76n7cBgDJlysDW1vaV9iWiN8cARERaYW5u/sLrwsPD0aNHD7Rs2RK7du3CuXPnMG7cuP/s5JucnAx7e3ucP39e4+fq1asYMWKEth8CihQpkmPbgAEDlP5IK1euRL9+/aBSqf7zWDVq1MDNmzcxbdo0PHnyBF26dNE4lfY6NRCR9jEAEZFWeHh4wNzcHKGhoTmuO378OMqUKYNx48ahVq1a8PDwwK1btzT2MTExQUZGhsa2GjVqIC4uDoUKFUK5cuU0fmxsbAAAFSpUwOnTpzVul/2ytbU1HBwccOzYMY19jh07hkqVKv3n4+rZsydu3bqFRYsW4fLly+jTp89/3ib7fQcGBmLFihXYtGkTtm3bhgcPHgAAChcunOPxElHeYSdoItIKMzMzjBo1CiNHjoSJiQl8fX2RkJCgdDSOjo7Gxo0bUbt2bezevRvbt2/XuL2rqytu3ryJ8+fPw8nJCVZWVvDz80O9evXQvn17zJkzB+XLl0dMTAx2796NDh06oFatWvj0008xcOBA1KpVC/Xr18emTZtw8eJFlC1bVjn2iBEjMGnSJLi7u8Pb2xsrV67E+fPnsW7duv98XMWLF0fHjh0xYsQING/eHE5OTq/0+5g/fz7s7e1RvXp1GBkZYcuWLbCzs0OxYsWUxxsaGgpfX1+YmpqiePHir/7LJqK3p+9OSERUcGRkZMj06dOlTJkyUrhwYXFxcZGZM2eKiMiIESOkZMmSYmlpKYGBgfL1119L0aJFlds+ffpUOnXqJMWKFRMAsnLlShHJ6lz96aefioODgxQuXFicnZ2lR48eEh0drdx26tSpYmNjI5aWltK/f3/57LPPpG7duhp1TZ48WRwdHaVw4cJSrVo1+eWXX5Tr1Z2gz507l+vjCg0NFQCyefPmV/5dfPfdd+Lt7S1FihQRa2tradasmURERCjX79y5U8qVKyeFChWSMmXKiEjuHcGJSDdUIiJ6zmBERFr1/vvvw87ODmvXrtXK8dauXYvPP/8cMTExMDEx0coxiUi/eAqMiN5pqampWLZsGfz9/WFsbIwNGzbgwIED2L9/v1aOHRsbiy+//BKDBw9m+CEqQNgJmojeaSqVCnv27EGjRo1Qs2ZN/Pzzz9i2bRv8/Pze+thz5syBp6cn7OzsMGbMGI3rZs6cqTE0P/tPixYt3vq+iUi3eAqMiOgNPHjwQBnR9W/m5uZwdHTM44qI6HUwABEREZHB4SkwIiIiMjgMQERERGRwGICIiIjI4DAAERERkcFhACIiIiKDwwBEREREBocBiIiIiAzO/wF3u9Rp8kDZywAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1083.5x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EMD and sinkhorn between target and train for box height : 0.0008374786384173133 0.056398522126405976\n",
      "EMD and sinkhorn between target and valid for box height : 0.007599599545307657 0.057616027043828816\n"
     ]
    }
   ],
   "source": [
    "check_split_conformity(splitted_COCO_naive)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87843349",
   "metadata": {},
   "source": [
    "Splitted dataset is not too bad, but we can do better, especially for classes. For example, `electronic` is not well represented in train split.\n",
    "\n",
    "## Split while keeping categories balanced\n",
    "\n",
    "Now, we can try with \"category_id\" as dataset class we want to keep balanced. Note that this is the default behaviour."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "6222cf48",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Splitting annotations ...\n",
      "Separating input data into atomic chunks\n",
      "2699 chunks to distribute across 2 splits\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "700b811ca9f1445199cd2c2385e09058",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/2699 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Splitting images ...\n",
      "Separating input data into atomic chunks\n",
      "2301 chunks to distribute across 2 splits\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2151c89e8fe341e188e5b5d65891f38a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/2301 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "splitted_COCO_balanced_category = COCO_SC.split(\n",
    "    input_seed=1,\n",
    "    split_names=[\"train\", \"valid\"],\n",
    "    target_split_shares=[0.9, 0.1],\n",
    "    keep_separate_groups=[\"image_id\"],\n",
    "    keep_balanced_groups=[\"category_id\"],\n",
    "    share_cost_weight=0,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "799e1528",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1083.5x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EMD and sinkhorn between target and train for box height : 0.0004139281770258621 0.05643086435154283\n",
      "EMD and sinkhorn between target and valid for box height : 0.019769209734755263 0.06296603442654297\n"
     ]
    }
   ],
   "source": [
    "check_split_conformity(splitted_COCO_balanced_category)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bd4ebcdc",
   "metadata": {},
   "source": [
    "Class repartition is almost perfect, but box height is still not perfect.\n",
    "\n",
    "## Split while keeping box height balanced\n",
    "\n",
    "Let's try to use that instead of \"category_id\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5524ffb9",
   "metadata": {},
   "outputs": [],
   "source": [
    "box_height_group = grouper.ContinuousGroup(\"box_height\", bins)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "474d7943",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Splitting annotations ...\n",
      "Separating input data into atomic chunks\n",
      "2699 chunks to distribute across 2 splits\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0e93c4082f7d4b1f9e342a52bb3d5771",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/2699 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Splitting images ...\n",
      "Separating input data into atomic chunks\n",
      "2301 chunks to distribute across 2 splits\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d65b33b4f1da4a32bb18fcb502bf7739",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/2301 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import warnings\n",
    "\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "splitted_COCO_balanced_height = COCO_SC.split(\n",
    "    input_seed=1,\n",
    "    split_names=[\"train\", \"valid\"],\n",
    "    target_split_shares=[0.1, 0.9],\n",
    "    keep_separate_groups=[\"image_id\"],\n",
    "    keep_balanced_groups=[box_height_group],\n",
    "    earth_mover_regularization=0,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "fcbbe2d9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1083.5x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EMD and sinkhorn between target and train for box height : 0.013802532695916195 0.05937297935238999\n",
      "EMD and sinkhorn between target and valid for box height : 0.001586449642183014 0.05644621532682227\n"
     ]
    }
   ],
   "source": [
    "check_split_conformity(splitted_COCO_balanced_height)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82b038e9",
   "metadata": {},
   "source": [
    "General box repartition is good, but not per class. Also, some class repartition is not good, e.g. `outdoor`.\n",
    "\n",
    "## Split while keeping both categories and box height balanced\n",
    "\n",
    "We can actually solve the problem by asking for balanced repartition for both classes and box heights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "ac4ba9a1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Splitting annotations ...\n",
      "Separating input data into atomic chunks\n",
      "2699 chunks to distribute across 2 splits\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ea9f640fccfa43129c473bf451d43110",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/2699 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Splitting images ...\n",
      "Separating input data into atomic chunks\n",
      "2301 chunks to distribute across 2 splits\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "31ea1b63d25e451c8191cbfaa6f4c773",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/2301 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "splitted_COCO_balance_mixed = COCO_SC.split(\n",
    "    input_seed=1,\n",
    "    split_names=[\"train\", \"valid\"],\n",
    "    target_split_shares=[0.9, 0.1],\n",
    "    keep_separate_groups=[\"image_id\"],\n",
    "    keep_balanced_groups=[\"category_id\", box_height_group],\n",
    "    earth_mover_regularization=0,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "3e71db84",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1083.5x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EMD and sinkhorn between target and train for box height : 0.0007947231394608702 0.05641936768280836\n",
      "EMD and sinkhorn between target and valid for box height : 0.008147746155949598 0.05799456298767276\n"
     ]
    }
   ],
   "source": [
    "check_split_conformity(splitted_COCO_balance_mixed)"
   ]
  }
 ],
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          "text/plain": "            category string\ncategory_id                \n1                    person\n2                   vehicle\n3                   outdoor\n4                    animal\n5                 accessory\n6                    sports\n7                   kitchen\n8                      food\n9                 furniture\n10               electronic\n11                appliance\n12                   indoor"
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