{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "cell-1",
   "metadata": {},
   "source": [
    "# Tutorial 1: Merge Multi-ROI Chromatin Trace Data\n",
    "\n",
    "This tutorial walks through the standard workflow for merging chromatin tracing data from multiple regions of interest (ROIs):\n",
    "\n",
    "1. **Collect** trace files from all ROIs into one folder\n",
    "2. **Assess quality** by computing Pearson correlations between ROIs\n",
    "3. **Remove** ROIs with poor correlation (outliers)\n",
    "4. **Re-assess** the correlation matrix after removal\n",
    "5. **Merge** the remaining trace files into a single table\n",
    "6. **Statistics** on the merged dataset\n",
    "7. **Next steps** — link to Tutorial 2 for quality control"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d776dfbb",
   "metadata": {},
   "source": [
    "## Step 0: Set-up your data and output path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "cell-0",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "from pathlib import Path\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.image as mpimg\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f7d0189",
   "metadata": {},
   "source": [
    "Download datasets from docs/source/...\n",
    "\n",
    "Set up your folder data and destination paths:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "b78d25aa",
   "metadata": {},
   "outputs": [],
   "source": [
    "data_path = \"/mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2\"\n",
    "dest_path = f\"{data_path}/output\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2546525a",
   "metadata": {},
   "source": [
    "Check ROIs detected:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "757b6dd0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Data path: /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2\n",
      "Output path: /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/output\n",
      "\n",
      "Available ROIs:\n",
      "  FOV_26\n",
      "  FOV_27\n",
      "  FOV_28\n",
      "  FOV_29\n",
      "  FOV_30\n"
     ]
    }
   ],
   "source": [
    "print(f\"Data path: {data_path}\")\n",
    "print(f\"Output path: {dest_path}\")\n",
    "print(f\"\\nAvailable ROIs:\")\n",
    "for d in sorted(Path(data_path).iterdir()):\n",
    "    if d.is_dir() and \"FOV\" in d.name:\n",
    "        print(f\"  {d.name}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-2",
   "metadata": {},
   "source": [
    "## Step 1: Collect trace files from all ROIs\n",
    "\n",
    "`collect_files` scans each subdirectory of `--root` for a file matching `--example-file`.\n",
    "The `--variable-part \"13\"` indicates that the ROI number varies; fixed-length matching naturally excludes Matrix files (different filename length)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "cell-3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------- Running collect_files.py --------\n",
      "Collect one file per subdirectory using pattern matching.\n",
      "\n",
      "Matched (5):\n",
      "  FOV_26 -> /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/FOV_26/FOV_26_4DNFI2HV38L6.csv\n",
      "  FOV_27 -> /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/FOV_27/FOV_27_4DNFI2HV38L6.csv\n",
      "  FOV_28 -> /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/FOV_28/FOV_28_4DNFI2HV38L6.csv\n",
      "  FOV_29 -> /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/FOV_29/FOV_29_4DNFI2HV38L6.csv\n",
      "  FOV_30 -> /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/FOV_30/FOV_30_4DNFI2HV38L6.csv\n",
      "No match (1):\n",
      "  plots\n",
      "Ambiguous (1):\n",
      "  output (4 matches):\n",
      "    /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/output/raw_traces/FOV_26_4DNFI2HV38L6.csv\n",
      "    /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/output/raw_traces/FOV_27_4DNFI2HV38L6.csv\n",
      "    /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/output/raw_traces/FOV_29_4DNFI2HV38L6.csv\n",
      "    /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/output/raw_traces/FOV_30_4DNFI2HV38L6.csv\n",
      "\n",
      "Decision: nothing copied.\n",
      "Error: 1 subdirectory(ies) have multiple matches. Use a more specific --variable-part to disambiguate.\n"
     ]
    }
   ],
   "source": [
    "!collect_files --root {data_path} --example-file \"FOV_26_4DNFI2HV38L6.csv\" --variable-part \"26\" --copy-to {dest_path}/raw_traces --force"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-4",
   "metadata": {},
   "source": [
    "## Step 2: Compute Pearson correlations between ROIs\n",
    "\n",
    "`trace_pearsons` computes a pairwise distance map for each ROI (median 3D distance between every barcode pair), then calculates the Pearson correlation between these maps.\n",
    "\n",
    "A high correlation between two ROIs means they share similar chromatin organization. An ROI with low correlation against all others is likely an outlier (imaging artifact, poor segmentation, etc.)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "cell-5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------- Running trace_pearsons.py --------\n",
      "Compare chromatin trace tables by computing pairwise distances.\n",
      "\n",
      "Analyzing 4 trace files...\n",
      "Processing FOV_26_4DNFI2HV38L6.csv\n",
      "Processing FOV_27_4DNFI2HV38L6.csv\n",
      "Processing FOV_29_4DNFI2HV38L6.csv\n",
      "Processing FOV_30_4DNFI2HV38L6.csv\n",
      "$ Saved correlation matrix as /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/output/trace_correlation_matrix.png\n",
      "$ Saved correlation matrix data in NPY format: /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/output/trace_correlation_matrix.npy\n"
     ]
    },
    {
     "data": {
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t2lTlOZWhu1GjRnbw4MH2s88+s/n5+TY3N9fm5uZaa6uH7sovQf71r3/ZQCBgBwwYYBcuXGgXLVpkFy1aZL/77jsbiUTsww8/bAOBgB0/fny1L4Mcx7G33XabNcbYiRMn2kgkssc/N2urhu4VK1bYu+66ywaDQTt58uTon9vWrVujXxr8+OOPuw3dS5Yssffff7/94osvqnxm33rrLdu+fXubnJxs33nnnehcN2zYYKdNm2aTk5Nthw4d7Lx586Ln++2339ry8vJo6JZkmzZtai+99FK7atUqu3PnzugYuwvdlV9CtGrVyqanp9s333zTOo5jI5GI/fe//22TkpJs9+7d7Zo1a37R5xsA4E+EbgD7jVhCd1ZWll20aFGN/+B1HGe397/88ss2HA7bMWPGRIOH4zj22WeftaFQyB5yyCF2/fr1NVYCK4OI4zj26aeftqFQyI4YMcIWFBRUq1j++9//jobSX1Lt3l3o3tO5TZ482QaDQXvRRRdVCU2VoTsQCNgHH3ywymOO49g33njDJiUl2S5dutitW7dGH6spdDuOY1988UUbDoftkCFD7I4dO6rN7/nnn7fhcNiOGjUqpmp3Xl6ePfPMM20wGLTGGJuZmWkPO+wwO27cOPuPf/zDLl26tMbX2VvoNsbYv/zlL1XOt6yszI4dO7bGn6HKMNeqVSvbsGFDu2rVqujzfknorgzEP1daWmrHjRtng8GgfeWVV6o8pzJ0N2nSxC5durTG5/88dFeaNWuWDQaDdvjw4TX+zK1bt862bNnSNm3a1H733XdVHtu6davt2rWrTUtLs59++mlMQfKnoXvlypX2yy+/tBkZGXbEiBG2pKTEOo5j33zzTZuQkGAnTpxoy8rKdhu69/Rz/dJLL9lQKGTPOeecKue7bNkym5qaag899NAaq80/Dd39+/e3ubm5NX6uawrdlY89//zzNjk52Xbs2NGuXLnSLliwwDZr1szWr1/fvvvuuwRuADjA+H+zWgCIw5FHHqkuXbrUeA1yZeMla62Ki4uVn5+vvLw85efnq2PHjkpLS9OSJUtUVFQkqaKx0htvvKFIJKJx48apadOmNV5XXHmNbCQS0euvvy5rrcaOHauUlJQqxxtjNHToUDVs2FDz5s1TQUHBPjvvPZ1b586dVa9ePS1evFglJSXVnpuVlaVTTjml2lyPOeYYdejQQatWrdKyZcv2OL61VtOmTVMkEtHYsWOrXOta+XoDBw5Udna2FixYoLy8vL2eU2pqqv71r3/pwQcfVK9evRSJRPTll1/qmWee0eWXX65+/frpmmuuqda9fG/q16+v4cOHV7k2OxgM6je/+Y0kqWfPnlV+howxysrKUtu2bVVQUKCNGzfGNd5P/fznpbCwUHl5ecrLy1NRUVH0PBctWlTj8/v27av27dvv022/mjVrpuHDh2vTpk164403oo3FrLWaPXu2li9frt69e6t79+6/aNyOHTuqd+/e+vjjj7Vq1So5jqMXX3xRoVBIp5122h5fc2+f2fT09Cqf2XgYY3TqqafW2C9gb8877bTTdPHFF2vFihW68sordeWVV2rz5s264YYbNHDgwFrflg0AULfQSA3AAaVDhw673TbMWqtly5bp6aef1ty5c/Xjjz9GQ2gkElFubq4yMjJUVlYmSSopKdGKFSsUCoV0+OGH7/Uf0sXFxVq+fLmstXr++ef17rvvRsf96TGFhYUKBALKz8+vto3SL+U4jpYuXaqnn35a8+bN048//qjS0lJJUnl5uQoKCrR9+/Ya94xu3ry5srOzq51fvXr11L59ey1evFirVq1Snz59djt+SUmJli1bJmutXn75ZX300UeSqp57SUmJdu7cqZKSEuXm5qpBgwZ7PCdjjNLT03XllVfq/PPP15o1a7RkyRJ99tlneu+99/T111/rH//4h3JycvTkk0/GvGVXWlqasrOzaxxLqugM//OfIWOM0tLS5DhOXHun16S0tFSzZs3SCy+8oMWLF2v79u3RjvM7d+6UVNEMriYdO3bc5034AoGAxowZo2eeeUYvvPCCLrjgAqWmpqq8vFzPPfecHMfRmDFjfvF+1wkJCTrzzDM1c+ZMvfnmmxo1apRmzZqlHj166JBDDtnjc3/+md24cWP057ryM7tjx47oZzYelbsk/JKAHA6HdfPNN2vhwoWaPn26JGnkyJG6/PLLa32bOgBA3UPoBnBA2V33aGutPvroI51zzjn64Ycf1LJlS7Vp00ZpaWkKBoMqLi5WTk5Ole22SktLVVxcXCWQ7UlJSYmKi4vlOI4+/PDD3f7jOzExUZmZmftsz2RrrWbNmqXzzjtPmzZtUqtWrdS6dWulpaUpEAiosLBQW7ZskeM4NY6ZnJy82+7R6enpstbutSpfWlqqwsLC6Pu8uy8+QqGQMjMzYz63ykCUmpqqbt26qWvXrjrzzDOVm5urv/71r7rvvvs0bdo0LViwQAMGDIjpNQOBQI1/NpVj7e69qHz8p1tXxau8vFwPPPCA7rvvPknSwQcfrPbt20c7xP/www/aunVrjV+OSLv/+f41jDE67LDDdMQRR+iTTz7RggULdMwxx2jFihWaPXu2WrVqpWHDhv3i6q0xRkOGDFHTpk316quvKhwOa9OmTZo4caJSUlJ2+37aXd3IzznnHG3YsEEtWrTY7Wf2l36Wfun7aYxRgwYNdMQRR2jOnDkKhUI688wzlZqa+oteDwDgb4RuAAeU3QWDkpIS3XXXXVq/fr1uvvlmXXbZZapfv75CoZCMMVq3bp169epV5TnhcFhJSUnRbbD2JhwOKxwOKzExUS+99JK6d+++x3nurdIbq8LCQt15553avHmz7rrrLl144YXKyMiIhseVK1fqiCOO2G0wKS4uVllZWY1hMz8/X8aYvYaTUCikxMREhcNhPffcc9Xey58yxqh+/fpxnGHV50oVS8SvvfZavfrqq1qyZIkWLVoUc+j20jfffKMHH3xQ6enp+ve//61+/fopJSUl+iXAk08+qQsuuGC3z6+tZcvJyckaO3asPvjgAz3//PMaMGCAXnnlFW3fvl3jxo2rtjIgXs2aNdPQoUP1wgsv6Pvvv1dmZqZOPPHEPZ5PcXGx7rrrLm3YsEG33HKLLr30UmVmZkY/s2vXrt3jz1ltqvyi6/HHH1e9evVUUlKi+++/X/369VOLFi1YXg4ABxiu6QYASdu3b9dXX32lpk2b6vLLL1fjxo2VkJAQvb72+++/r1bNTUpK0sEHH6zy8nItXLhwr9W0lJQUtW3bVmVlZVq3bp0aNWqk7OzsGm+NGjXaZ8tQc3JytHTpUrVq1UqXXHKJGjVqpISEhOg//NesWbPHJdEbNmxQTk5OtfMrLCzUypUrFQqFdNBBB+1xDklJSTrooINUXl6uNWvW7PXcd1cJj0dKSoqysrIkVQS0us5aqy+//FK5ubk67rjjdNxxxyk9PT0aIqWKUF6b4+/uZ9gYo+OPP16tW7fW9OnTtWTJEr300kuqV6+eRo8eXeX6918iGAzqzDPPlOM42rBhg/r376+2bdvu8Tk//cxedtllys7O3utntvJcKs+3NlhrtW7dOk2cOFElJSV68MEHNW7cOC1evFg333yzL34WAQD7FqEbAHbZ3fLqsrIyPfvss9X+sRwIBHTSSScpGAzqmWee0ebNm6s9/6dBJhgM6uSTT5YxRk888YS2b99e43iVz9mXy8t3t0S3tLRUkydPjl4HW5MtW7bozTffrPaaH330kb799lu1bdtWnTp12uMcAoGARo4cqWAwqKeeekpbtmz5VedurdXKlSuVl5e329fZsGGDVq1apUAgoHbt2u3x9eqKn577T8/LWqsffvhBb7zxxj4fMzk5WaFQSPn5+btdti5JjRs31imnnKKNGzfqlltu0bJly3TkkUfu9brrWPXt21fXXXedJkyYoKuuumq3y/gr7ennpKysTJMnT66xMWDlapOioqJaCcBFRUX6/e9/r6VLl+rcc8/V+PHjdffdd+uwww7T1KlT9eSTT/6qSxAAAP5D6AYASRkZGerUqZM2btyohx9+WDk5OSotLdXGjRv1pz/9SdOmTasWAowxGjFihPr3769Fixbpkksu0VdffRVtBvbjjz/q9ddf14wZM6LHn3HGGerXr5/mzp2rCRMm6Msvv1RBQYFKS0uVn5+v7777TlOmTNGUKVP22bk1bNhQ7du317p16/TPf/5T27ZtU0lJiTZs2KB7771XM2fO3GNl2Vqr+++/X2+88Yby8/NVWFiouXPn6vrrr1dpaakuvPDCmJqenXTSSRo8eLA+//xzXXTRRVq4cKHy8/Oj575mzRq9+OKLevrpp2M6r0cffVQnnHCCnnjiCa1atUo7d+5UWVmZ8vLy9Pnnn+uKK67Q+vXr1a1bN/Xr1y+u98wLxhh16dJF6enpmj59umbOnKmdO3eqqKhIS5Ys0eWXX67t27fv83Fbtmyphg0b6quvvtLUqVO1dOlSLV++XOvXr68SagOBgEaPHq169erprbfeUiQS0ZgxY5SUlLRP5pGenq777rtPjzzySEwdvuvXr6+OHTtqw4YN1T6zDzzwgN58880ag3vDhg3VsmVLff/993rqqae0ePFiLV++XGvXrv3VYdhxHP373//WSy+9pF69eun2229XQkKCmjZtqgcffFBpaWm66667NH/+/FqrtAMA6h5CNwCootp30003qX79+vrDH/6g3r17q1+/furdu7f+7//+L/rYz2VkZOif//yn+vXrpzfffFPHHHOM+vbtq379+unII4/U6NGj9fXXX0ePr1+/vh577DENGjRI06ZN0zHHHKM+ffqof//+6tOnj4488kiNHz9+n/6jPDU1VTfddJPS0tJ0++23q3fv3urfv7969+6txx9/XL///e/32Aiua9eu6tWrl8aOHas+ffqob9++OuGEE7Rs2TKdffbZuvjii2NaXpyenq5//vOfOvbYYzV9+nQNGjSoyrkfccQRGjt2rD7++OOYzj01NVULFy7UhAkTdNRRR6lPnz7q16+f+vTpo0GDBmnGjBnq1q2b/vnPf6pRo0ZxvWde6d69uy644AJt27ZNZ5xxhvr27au+fftq4MCB2rRpk6666qp9PmbTpk11ySWXqLy8XBdddJF69eqlHj166Morr6xW+e7evbv69Okja61atWqlY4891rPrk3/6mb333nurfGYfeugh3XTTTTU25UtLS9NVV12llJQU3XjjjTriiCPUo0cPjRo16ld1nrfWau7cubr77ruVmZmpv/71r2rcuHF0W7N+/frp5ptv1rZt23TdddfVuDIGALB/opEagP1GSkqKrr32WhUWFqp58+ZVHuvdu7duu+02HX300TU+t/Ka1WnTpunJJ5/U0qVLZYzRCSecoHHjxqlz584qLS1VKBSqUtkzxqhDhw567bXX9Prrr+s///mP1q1bJ2OMfvOb36hnz5469dRTqxzfrl07vfzyy5o+fbqmT5+ulStXqrS0VI0aNdJhhx2m7t2777WJ1O4ce+yxysjIqNJAyhijkSNHqlGjRnrqqae0bNkyBYNBnXTSSRo/frwOPvhgFRUVKSUlpcq2T82aNdMtt9yiFi1aaOTIkZoyZYqmT5+uzZs3a8CAARo5cmSNHZlbtmypW265RW3atKkSxo0xatOmjaZOnar//Oc/euedd7RixQqVlJQoKytLPXr0ULdu3XTCCSfEdO7XXXedhg4dqrlz5+rLL7/UunXrVFhYqAYNGqhnz546+uijdcIJJ0SDT6WsrCz97ne/U1ZWVpUKf3p6um688UYlJSUpISGh2ng9evTQ7bffrsMPP7zaY4FAQGeddZZ69eqlgw8+OHp/cnKyrrnmGkUikSrvUzAY1IUXXqjNmzdXaUIWDod1zz33qEePHnr11Ve1ceNGZWRk6PTTT9f48eOjncsr9wyvNGDAAN122217rOgfcsghuu2229SzZ88q70cwGNSNN96oYcOGacGCBdq6dascx1GHDh2qfZmSmJiobt26acaMGTrppJPUpEmT3Y63O2lpabruuutUWloaU8M8Y4xOPvlktW7dWkcddVSV+0844YS9fmYrGx7+9HnnnHOOevbsqXnz5mnTpk0qLy9XkyZNFA6Ho4/369dPrVq12u28TjrpJLVs2VJdu3aVVBG6N23apMsuu0w9evTQUUcdVeV9DgQCmjBhgsLhsLZu3ar169f/6gZ0AAB/MJavWQEgqvL658plpsFgMFqpive5xpjo8/d2vLVWxhgFAgEFAoFaqR7+mnOrfH4kEpHjONFttX7pPPflubv9Prqhpvdaqr3u5LHavn27jjnmGK1atUrvvfdelRDslV/7cw0AQG2j0g0AP1EZlH9J5/B4n/trxvolfu14xph90lV8X8yltl6rrtiX7/W+UPklwMsvv6ylS5dqyJAh6tGjh9fTkrR//vkDAPYvdef/0QEAQJ2zfv16PfDAA9q0aZNmzJihlJQUXXfddVUuRQAA7FlJSYnWr1+vTZs2qaCgQJ07d1aLFi32+JzKnTheeuklrV69Wp07d9bpp5+uhg0bsprHZ2ikBgAAdis3N1evvPKK3nvvPbVu3Vp/+9vfYuouDgD4n48//lhjx47V7373O5166ql655139vqcH3/8UaNHj9Z///tfHXTQQXrppZd03nnnKS8vz4UZY1+i0g0AAHarQ4cO+uyzz2StVb169ZSWlkbgBoA49enTR2+//baKi4s1YMCAve5eYK3VM888o7y8PL366qvKysrSySefrMGDB+vNN9/UmDFj+LvYR6h0AwCA3QqHw2rSpImaNm2q9PR0/pEHAL9AUlKS6tevr4SEhJj+Hi0rK9OMGTN0zDHHKCsrS8YYtWjRQocffrimT5/OloM+Q6Ube1ReXq6ysjIa1AAAABwAIpGIwuFwnWrmuDuRSESRSMSz8a21stZW2V7x1+7uUWnnzp1av369Ro4cGX2tYDCotm3b6sMPP1RZWRm9NXyk7n+a4Kn33ntPt99+h8IJYa+nggMUNTV4h58+AAee0tIS3XjjjTr11FO9nspevfPOO/rjHx/w7K9r+5OtCisdc8wxuv322391waq8vFzFxcWqV69e9D5jjFJSUlRcXKzy8nJCt48QurFHO3fu1GdfL5dpfJhkuBoB7golpiitWTuJ5azwQDAUVMAHlR7snzKyUhRO4OcPLrOO1sx42jeNun788UfN/eJbBRofIveTt5Wz6UtdffFYDR48OHpv06ZNq1S+f6lgMKiEhASVlJT8b0RrVVJSonA4zCpUn+Fvc+xRMBiUgkky6S1l9sFfIEA8ginpSm55GNeQwhPBcFihxASvp4EDVP3m6UpKYZUZ3GWdiDbMfcMXS8ujwikV/051+d8K1jrS1uXq0aOHhg8fvs9fPyUlRdnZ2Vq3bp2stTLGyHEc/fDDD2rWrJkSEvj/Jz8hRQEAAADwKVNRGDLu3owJal9W1621KisrU2lpqay1SkxMVP/+/TVnzhwVFBTIWqtt27ZpwYIFGjRoEAUJnyF0AwAAAPCnXdnTGOPqTUZxZe7CwkLNnz9fCxYsUFFRkb777jvNnTtXq1evjnYiv+OOO3TJJZeorKxMknT++edr+/btuvXWW/Xuu+/qhhtuUL169XT66afv4zcRtY3QDQAAAMC3jAlU9H9x8Wbi7HW0adMm3XPPPfrTn/6kdu3aacGCBbr11lv19ttvR49JS0tTRkZGNNi3b99ezz33nIqLi/Xggw8qIyNDzz77rBo3bkyl22d8dMEGAAAAAPyP0S8Lwb+WlaN4St1t2rTRtGnT9njMDTfcIEnRQG2MUY8ePfTPf/4zel33Tx+HfxC6AQAAAPiYNyE0nlGjy9L3cszu7iNo+xuhGwAAAIA/mV2N1FwO3qZyqTkQA0I3AAAAAF9zf8sw6+p48DdCNwAAAADfqrie24NKNxAjQjcAAAAAn/KokRqFbsSBLcMAAAAAAKglVLoBAAAA+JIxkgkEXW9qZqxopIaYEboBAAAA+JMxu1aYu9xIrWKHcCAmhG4AAAAAvmVMwIPGZgEq3YgZoRsAAACATxkZDxqpSY7L48HPaKQGAAAAAEAtodINAAAAwJ+MqWik5vY+3TKujwn/InQDAAAA8DX3G6lZMjdiRugGAAAA4EtGlYGbSjfqLkI3AAAAAH8ykkzA9UZqlkI34kAjNQAAAAA+RfRF3UelGwAAAIBvmUBAri8vN+zTjdgRugEAAAD4muuN1Kx1dTz4G6EbAAAAgE8ZT6rOhqt0EQdCNwAAAABfqmhcbtxvpCZHXE+OWPEVDQAAAAAAtYRKNwAAAACfMjKBoLzYp5s+aogVoRsAAACAr7neSE1WLC9HrAjdAAAAAPzJVFSdvah0A7EidAMAAADwKSMFAu43UmPHMMSBRmoAAAAAEC+K3YgRlW4AAAAA/mSMTNCDRmrW/SXt8C9CNwAAAABf86SRGpkbMSJ0AwAAAPAlI+26ntvlSreh0o3YEboBAAAA+JSpWGLudiM1x9Xh4HM0UgMAAADgT14VmylyIw5UugEAAAD4lJExQcnla7orlrWTvBEbQjcAAAAA/zIeNFKzBG7EjtANAAAAwJeMMQqYgOuVbgXcb94G/yJ0AwAAAPAvDxqp0UkN8aCRGgAAAADEw1DnRuyodAMAAADwKa8aqRn3l7TDtwjdAAAAAPzLk0Zq1tXx4G+EbgAAAAD+FA3cLle6qXIjDoRuAAAAAD5lJBNwvZFaRR81gjdiQyM1AAAAAABqCZVuAAAAAL5kKrcLc7nSbQKikRpiRugGAAAA4F/GeNBIjcCN2BG6AQAAAPhWRaXb5UZqAUI3YkfoBgAAAOBTZlel2+VGapYO5ogdjdQAAAAAIB7kbcSBSjcAAAAAfzJGxgTdX17+k1+BvSF0AwAAAPAv4/5SbxqpIR6EbgAAAAC+ZLQrcHvRSI3cjRgRugEAAAD4kzGSCcgEXG6k5lhXx4O/0UgNAAAAgH95UXE2xqOB4UdUugEAAAD4k5eN1MjciBGhGwAAAICvud9IzdXh4HOEbgAAAAC+ZQIB9yvdJiBDqRsxInQDAAAA8KmKa6uNcbmRmqHUjdjRSA0AAACAf3lScKbKjdhR6QYAAADgS8bsqnK7XOk2Abm+pB3+RegGAAAA4GOGRmqo01heDgAAAMC3vCg4ux3y4W9UugEAAAD4k9m1xDzgcqXbIXgjdlS6AQAAAPiXF9mXwI04UOkGAAAA4EtGuyrOLmdgIjfiQegGAAAA4Gs0UkNdxvJyAAAAAP5kaKSGuo9KNwAAAACfMvJsyzByN2JEpRsAAACAfxF+UcdR6QYAAADgS0ZSwItGagFD1kfMCN0+Znd1cKj838plNT9fXhPrcQAAAIAf0UgNdRmh26estfrqq6/0+uuva9GiRSorK9Ohhx6qCy64QG3bto3+xWOt1datW/X000/rww8/lOM46tChg2666SY1atTI47MAAAAAfgUjmYA8qXSzVzdiRej2Kcdx9Pjjj8txHJ177rkKh8N67LHHdOaZZ2ratGlq3ry5rLXavn27zjvvPCUnJ+uCCy5QQkKCPvroI+3cuZPQDQAAgP2AR43UgBgRun0qEAjorrvuUnp6uoLBoKy16tatm/r06aOZM2fq3HPPlSQ98cQTKigo0OTJk5WRkSFJGjZsmIczBwAAAPYhTwrOVLkRO0K3TxljVL9+/Sq/r1evnsLhsHbs2CFJKioq0iuvvKLhw4dr1qxZWrJkiVq0aKETTjhBjRs39mrqAAAAwL5hdlW5XV9eTuxG7NgybD9hrdXMmTOVl5enww8/XJK0Y8cOrV27VlOmTNHTTz8tY4yeffZZnXbaafr++++jjdV++hqFhYXavn179LZz504vTgcAAACImdkVvt26AfGg0r0fsNZq8eLFuv322zV69GgdfvjhMsaovLxcRUVFSklJ0ZNPPqkGDRroggsu0JAhQ/Tkk0/qtttuq/Y6999/v1599dXoffn5+dXCOQAAAFAXGFX0M3M9BhO8EQdCt89Za7V27VpdfPHF6tq1q+6++26Fw2FJUigUUlJSkvr27asGDRrIGKPGjRvr8MMP1/z582WtrfJNnTFGF110kU499dTofbNnz9bEW//o+nkBAAAAsTAeNFKTFevLETNCt49Za/Xjjz/q4osvVmpqqv7xj3+ofv360b900tLS1KxZMwUC/7uKYE9LYowxatmypVq2bBm9b82aNeJvFAAAAAD4Zbim28dyc3N1xRVXqKCgQI899piaNGkiSdHl4PXq1dOQIUM0f/585eXlyVqrnJwcLVy4UEcccQTXowAAAMD3ovt0u3gzgcrfAHtHpdunHMfRXXfdpRkzZuiKK67Qf//73+hjhxxyiHr27ClJuvTSS/X+++/rwgsv1NFHH63//Oc/qlevns4//3yvpg4AAADsG6biF/bpRl1G6Pax1q1b65xzztGOHTu0YMGC6P3169dXz549ZYxR69at9fLLL+vll1/WihUrdNxxx+nUU09V06ZNqXQDAADA96KVbjfHNIZeaogZodunAoGArrnmmr0eZ4xRq1atdN1119X+pAAAAAAXmV3rvV2vdBO4EQeu6QYAAADgXwRg1HFUugEAAAD4k5ECHmzUXdFIDYgNoRsAAACAr9FIDXUZoRsAAACALxmpoqGZ24VnIxqpIWaEbgAAAAD+5UUAJnAjDjRSAwAAAOBPnoVfUjdiR+gGAAAA4FtuX89dMaZE8EasWF4OAAAAwNdopIa6jNANAAAAwKeMTMCLa7rd36YM/kXoBgAAAOBLFdnXuL/EnMyNOHBNNwAAAAAAtYRKNwAAAADfMgG5XnY2AerciB2hGwAAAICPub+83FqxvhwxI3QDAAAA8C8j9wOwB9uUwb8I3QAAAAD8yVRsF+ZFIzUgVjRSAwAAAACgllDpBgAAAOBLRpIXPc08qa7DtwjdAAAAAHzMo0ZqQIwI3QAAAAB8ylT0NKORGuowQjcAAAAAfzKSaKSGOo5GagAAAAAA1BIq3QAAAAB8ywTkeuXZBAzVbsSM0A0AAADAx2ikhrqN0A0AAADAl4ypqHS73tfMGBlK3YgRoRsAAACAT1WEXxqpoS6jkRoAAAAAALWE0A0AAADAl3btGOb+uIZGaogdy8sBAAAA+BqN1FCXEboBAAAA+JP5yc3tcYEYEboBAAAA+JYxXnQvd3k8+BrXdAMAAADwMW8SMLkbsaLSDQAAAMCfjBQIyPUEbAI0UkPsCN0AAAAAfI1GaqjLCN0AAAAAfMnIo6qzF/uUwbcI3QAAAAB8ze1Kt4wHY8K3CN0AAAAAfMwf4ddaq0gkovLycgWDQYVCob0Gd2utysrK5DhOzM9B3UP3cgAAAAA+ZTxZ6R1v8LXWat68eTr77LM1aNAgnX322fr4449l93BxeHFxsZ544gmNHDlSgwYN0mmnnaaXX35ZZWVlv3b6cBmhGwAAAICvGWNcvcVr5cqVOvfcc9WuXTs99NBD6tKli84//3wtX768xuOttXr++ed122236YwzztAjjzyiQYMG6corr9S77767x7COuofQDQAAAMCfTGXglsu32IO3tVbPPfecMjIydNNNN+mwww7TDTfcoOzsbE2ePHm3Afqdd95Rnz59dM455+iQQw7RJZdcovbt2+vdd9/dV+8eXMI13QAAAAB8ySj+ELzPBo5RWVmZPv74Yx1xxBFKS0uTMUYpKSnq3bu3PvroI5WXlyscDld7XqNGjbRmzZroNeClpaUqKipSo0aN9uGJwA2EbgAAAAD+5VVjMSNt3rxZq1atit6Vmpqq7OzsKl8ClJSUaNOmTRo0aFCV+5s2baotW7aoqKioxtB9xRVX6JJLLtFNN92knj17avbs2crKytI555xTu+eFfY7QDQAAAMCfKpeWB1zfqFtG0oMPPqjHH388eu+xxx6rv/71rwoGg9H7HMdRWVmZEhIS/vdsY5SQkKBIJKJIJFLjCMnJycrKytK8efO0ceNGrVy5Ut27d6/yOvAHQjcAAAAAxM3opptu0plnnhm9JykpSYFA1bZZoVBI9erVU35+vqy1MsbIWquCggIlJSXVGKLLysp0ww03yFqr6dOnKyMjQ5s3b9YZZ5yhe++9V3/729/YOsxHCN0AAAAAfMlIChj3tw2zuwbMzMxU06ZN93hsUlKS2rZtqxUrVkT327bWasWKFWrTpo2SkpKqPaegoEBfffWVLrvsMmVmZsoYo8aNG0evAy8rK1NiYmKtnBv2PbqXAwAAAPCtykZq7t5i76UWCAQ0YsQIffLJJ/ruu+9krdW6des0Z84cjRgxQoFAQNZarV+/XmvWrJG1VsnJyWrcuLG+/PJLlZSURCvjixcvVvPmzRUKUTv1E/60AAAAAPiTif7i0dgxHGaMRo4cqTfffFPjxo3T0UcfrY8//lhdu3bVaaedFl1ufscdd+j777/XG2+8oaSkJE2cOFHXXnutxo0bp44dO+qLL77QqlWr9MQTT1Rbwo66jdANAAAAwJeMpGBAruduG2fjtrS0ND3++OOaOXOmVq1apSuuuELHHnusMjIyoseMGDFCO3bsUDAYlDFGJ510kjp16qQPP/xQ27Zt02mnnaZjjjlGbdq04XpunyF0AwAAAPA110Ooje9wY4wyMjJ0+umnV7nvp/89YsSIKs8JBALq1KmTOnbsWO14+AuhGwAAAIAv/e96bvcH/iVj7ik47+4xwrb/EboBAAAA+FbAuB9MbRyN1ACuwAcAAADgW4b4izqOSjcAAAAAXzIyCnjWSI2wj9gQugEAAAD4Wl1vpIYDG6EbAAAAgC8ZIwU8aKRmvWjeBt8idAMAAADwLeNRIzUgVjRSAwAAAOBj7idgruhGPKh0AwAAAPAlY6RgQJ4sLyd1I1aEbgAAAAC+ZeRBIzUCN+JA6AYAAADgS0bGu0Zq7g4JHyN0AwAAAPAtTxqpuToa/I5GagAAAAB8qSJre9BIzVRU2YFYUOkGAAAA4FsBGqmhjiN0AwAAAPAtLxqpsbwc8SB0AwAAAPAlY6SACbjfvTzA4nLEjtANAAAAwKcqlnm7HbqJ3IgHjdQAAAAA+JYX8dcYuX8hOXyLSjcAAAAAXzKSAgH26UbdRugGAAAA4Fs0UkNdR+gGAAAA4EsVjdTcr3QbGqkhDoRuAAAAAP7lQSM1u2tcIBY0UgMAAADgW17UnOmhhnhQ6QYAAADgS8ZIgYD7IZhGaogHoRtAHWdl6VYCAAD2gEZqqMsI3dirUHI9ZbTtJmOCXk8FBxgnUqbcNYv5PzZ4IrVRc6U1aeX1NHCASk0MqV5K2Otp4ABjnYBCQX9dfWpkFJBx/5pZY1hjjpgRurFXgWBYSRmNZAL8uMBdpTt3aMf3y7yeBg5QSWkZXk8BB7BwyCgpzJfdcJcTqegE7jfGg0ZqRvRRQ+z89VUWAAAAAPyEF+HXh99NwEOULgEAAAD4UkUjNff36aaRGuJB6AYAAADgazRSQ11G6AYAAADgS0ZGQeN+pdsEDBd1I2aEbgAAAAD+5UEjNSsyN2JH6AYAAADgW0buX19NIzXEg9ANAAAAwJeMkYIB90OwMV5EffgVoRsAAACAr9FIDXUZoRsAAACALxlJAQ8aqQVopIY4ELoBAAAA+JPZtVe3y6nbEZkbsSN0AwAAAPAlIxqpoe4jdAMAAADwrUBg13JvN1n3l7TDvwJeTwAAAAAAgP0VlW4AAAAAvmSMUdCDRmpyu7IOXyN0AwAAAPAv4/6WYURuxIPl5QAAAAB8y4sAbIw8aN8Gv6LSDQAAAMCXvNqn23qxpB2+RegGAAAA4F8eLC+3ro4GvyN0AwAAAPAlY7ypdNNHDfEgdAMAAADwKRMN3m5yWFuOOBC6AQAAAPiW8aClmTHimm7EjNANAAAAwJcqqtxSwO313pbEjdixZRgAAAAAALWESjcAAAAAXzKqqHK73tgs4MWidvgVoRsAAACAbxm5v2WYif4C7B3LywEAAAD4k1cNzQjciAOVbgAAAAC+ZOTNPt3GsLgcsSN0AwAAAPAv4/7ycuvqaPA7QjcAAAAAXzLGKOhBpVsBD8aEbxG6AQAAAPiaJ43UgBgRugEAAAD4ljHuh2Cq3IgHoRsAAACAL1U2Ugu4vVG3ZZ9uxI4twwAAAAAAqCVUugEAAAD4kjG7Kt0eDMwSc8SK0A0AAADAt4xopIa6jeXlAAAAAHzKgy5qQJyodAMAAADwJSMp4EFLswBryxEHQjcAAAAAX3N7ebkVBXbEjtANAAAAwLcCxoNrZknciAOhGwAAAIBvVTRSc39MIFY0UgMAAADgS8bImwTs1bjwJSrdAAAAAHwr4MGe2QFjPGjfBr8idAMAAADwNS8aqQGxInQDAAAA8CWjiqqzF43UqHMjVoRuAAAAAL5V0UjN3QjM0nLEg0ZqAAAAAHzKuB64gXhR6QYAAADgS8b8b4m5myxBH3Gg0g0AAAAAcSByIx5UugEAAAD4UkWV24NKopHr25TBvwjdAAAAAHyropGa17MAdo/l5QAAAAD8y4PAbdgyDHGg0g0AAADAtwLGuF7ppmM64kHoBgAAAOBrhGDUZYRuAAAAAL5kTEXgdjtyB7iQHHEgdAMAAADwrYr863YAdj/ow78I3QAAAAB8qbLg7Hql2+Xx4G+EbgAAAAC+FdCu5d4usnQvRxz4kgYAAAAAgFpCpRsAAACAPxnjUSM16tyIHaEbAAAAgC8ZedVIDYgdy8sBAAAA+JcHedt4NC78iUo3AAAAAF8ykoLGuL9ldoAtwxA7QjcAAAAAX3N7eTmBG/EgdAMAAADwLS8aqVWEfKI3YkPoBgAAAOBbXjVSI3IjVoRuAAAAAL5kzK6by+PSjRrxIHQDAAAA8K2ApIDLqdt6EPThX3xJAwAAAABALaHSDQAAAMCXjIwnjdQC9FFDHAjdAAAAAHzLm0ZqJG7EjuXlAAAAAPzLg/xL5EY8qHQDAAAA8CVjpIAxrjdSU8D9Je3wL0K3j1lrVVhYqK1btyoSiSgrK0upqanR5TXWWpWVlclaW+25oVBIgUDAkz0NAQAAgH3Fq326gVgRun3KcRw9/vjjeuaZZ1RYWKhAIKBgMKhrr71WZ5xxhoLBoHbu3KnrrrtO69atiz7PWqvS0lJddtllOv300z08AwAAAODXqQjcHuzTvWt/cCAWhG4fKy0t1S233KJevXopEAho8uTJuvbaa9WuXTv17NlTSUlJuvTSS1VYWBh9zuzZs3X//feradOmHs4cAAAA2DcqgzdQVxG6fcoYo8suu6xii4Rdf8uMGzdOkyZN0ty5c9WzZ0+FQiEddthh0edEIhE99thj6t69uw477DCW4QAAAMD3vKh0869oxIPQ7VM/DduV8vLyVFhYqJSUlBqfs379es2aNUsTJ07c7TEAAACAnxgZBVwuJlljRCs1xIrQvZ8oKyvTI488osTERA0cOLBaILfWaubMmSovL9fw4cNrrHJba/Xdd99p06ZN0fu+/fbbWp87AAAAAOyvCN37Acdx9MILL+jJJ5/U/fffr4MOOqjaMSUlJXrxxRd19NFHq02bNjW+jrVWzz33nF5//fXofbm5ubI2sZZmDgAAAPxyxlRUub1opOYX1lo5jlPjjkaVuxlx2WntInT7nOM4mj59un7/+99r4sSJGjNmTI0fmm+++UYLFy7U448/rmAwWONrGWN0ww036Lrrrove99Zbb+m8a++qtfkDAAAAv5b7obHuh1RrrdavX6+XX35ZixYtUkFBQbVjRo4cqTFjxngwuwMLodvHrLX66KOPdOWVV+rcc8/VVVddpVCo+h+ptVavvfaasrOz1b9//93+pWSMUVJSUpX7fv57AAAAoK4w8mb7Lj9sGbZhwwadeuqpWrZsmdq3b6/U1NRqx+zcudODmR14CN0+Za3VokWLdPHFF+v444/X9ddfr0AgoPLy8uie3ZV27NihadOm6aSTTlL9+vU9nDUAAACwbxnj/nJvW8cDtyS9/fbbWrlypZ599lkNGTJEiYmJLCP3CKHbpxzH0R/+8AetX79eK1as0Pjx46OPnXrqqRo7dqyMMbLWasGCBdq8ebNOP/10PmgAAADYf3iwXZhfbNiwQR07dtTQoUOVnJzs9XQOaIRunwoEArrxxht18cUXV3vs543S2rdvr5deekmHHHIIoRsAAAD7DaNdW+m6PK4Xzdvi1blzZ73yyisqKioidHuM0O1Txhj16tUrpuPatGmz247lAAAAgN9RWKru2GOP1dSpU/V///d/uuKKK5Senl7tfaJ7uTsI3QAAAAB8K+DBEnM/RNQNGzZow4YNeueddzRlyhQ1b95cgUCgyjGjRo3SBRdc4NEMDxyEbgAAAAC+ZCQZVezV7SZr6v7F5IFAQE2bNlWjRo12e0w4HHZxRgcuQjcAAAAA7Gc6dOigF198cY/H/LzyjdpB6AYAAADgW140NQuoosIeD8dxtGXLFm3fvl2ZmZnKzs7ea+i11qq4uFgbN25UWVmZMjIy1KhRoyrbA+92joGAAoGArLWy1ioSiVS5n+u43UPoBgAAAOBTFcHR9QAZ53jl5eV6/PHH9cgjjyghIUElJSW66KKLNGHChN0u8bbWatGiRbrtttv0448/KhQKqaSkRJMmTVK/fv1iGresrEwff/yxXn75ZS1btkxlZWVq3ry5hg0bplNOOaXG5mrY9wjdAAAAAHzJmF2N1FzOjfE2b5s3b57uuece/f3vf9fQoUP1wQcf6LLLLlO3bt109NFHVwu+1lr98MMPuvjii3XGGWfovPPOU3JystasWaPMzMyYxiwvL9df/vIX3XfffapXr57atGmjcDiszz//XK+//rpeeeUVPfHEE3u85hv7Bov4AQAAAPhWZfB28xZPyLfWasqUKerSpYuGDx+u9PR0HXfccerRo4emTJkia22Nz3v22WeVkZGhSy+9VCkpKQqFQuratatatGgR07iLFi3Sn/70J40aNUoff/yxZs+erVmzZumTTz7RpEmTNHfuXD322GO7HR/7DqEbAAAAAGpJcXGxvvrqK/Xo0UMJCQmSpFAopMMOO0yLFi1SWVlZteeUlZXpvffeU4sWLXT99ddr6NChOvHEE/XEE0+otLQ0pnHnzJmjrKws3XPPPWrTpo0SEhIUCoXUoEEDnXfeeTrzzDM1Y8YMlZeX79PzRXUsLwcAAADgS0YeNVLbVe2eO3dulaZmrVq1Ur9+/ao0SCsrK9O2bdvUqFGjKsvIs7KylJeXp6KiIiUmJlZ5/aKiIm3atEmfffaZrr32Wl111VWaP3++br75ZiUmJmrMmDF7vRY7Pz9f9evXV1paWrVjA4GAWrRooQULFshxnF/zViAGhG4AAAAAvuZ+M7CK8ebPn68ffvghem/fvn3Vt2/fakfHu4TbWivHcdS+fXtNnDhRqamp6tixoz788EM9/fTTOvPMM6NV893p0KGDJk2apAULFqh///4VszZG1lrl5ORoxowZateunUIhImFt4x0GAAAA4E9xNjTb166++mqdc845/5uOMdW2AQuHw8rMzNS2bdtkrY1+QbB9+3alpqYqKSmp2usmJiYqPT1drVq1UnJysowxCgaD6tSpkz777DMVFRXtNXQPHjxYbdu21dixY3XhhRfq8MMPVzgc1po1a/TMM89o8eLFuvXWW9mr2wWEbgAAAAD+5UH38srxAoHAXivFiYmJ6tq1q77++muVlZUpISFBkUhEX331lbp161ZjeE5KSlK3bt20Zs0aRSIRhUKhaIU6NTV1r4Fbqli+/vTTT+t3v/udHnzwQRUVFUW/FOjQoYMeffRRDRo0iC3DXEDoBgAAAOBbdT0yBgIBjRo1SuPHj9fs2bN19NFH65NPPtGnn36qxx57LLrke/bs2crPz9eJJ56oQCCgs88+O/qcgQMHauXKlXrrrbc0ZsyYGqvjP2eMUefOnTV16lR99913+v7771VWVqbs7Gy1b99emZmZBG6XELoBAAAA+JKRZORBI7U4xzz66KN1xRVX6Nprr1WDBg20bds2XXzxxdFKs7VWzz77rNauXavjjjtOwWBQ/fv31zXXXKOJEyeqQYMGys3NVb9+/XT55ZfHPK4xRklJSerSpYu6dOkS/4linyB0AwAAAPA192N3fEKhkG644QaNGjVKW7ZsUVZWllq3bl1lafpNN92kkpKS6H3hcFjXXHONTj/9dG3atEkZGRlq27atwuFwjRVqa60WLVqk3Nxc9ezZU9ZaLVy4cI9N3Fq3bq2DDjqIinctI3QDAAAA8C0/5MXKRmgHHXSQDjrooBofb9++fbX7g8GgWrdurdatW+91DMdxdPPNN+uTTz7Ru+++q0gkolNPPXWP+3pPnDhRd955Z3wng7gRugEAAAD4mleN1OqSQCCgBx54QHl5eerYsaOstXr77bf3WOlu3ry5izM8cBG6AQAAAMDnjDHq1q1b9PeO46hXr141Lke31qq8vJxl5S5hUzYAAAAAvmQkBUxlQzX3boHK/6jDli1bprPOOkvr16+v9pjjOPr973+vp59+2oOZHXiodAMAAADwNQq21e3YsUOzZ89WYWFhtcestfrss8/2usc49g3eZQAAAAC+5VXeros531qrSCQSXT4uSeXl5SorK6tyzPbt25WTk6O0tDSvpnpAIXQDAAAA8Kddy7xppFYhEolo4sSJWrx4sXbs2KG8vDxdcMEFSklJiR5jrdWWLVu0bt06HXXUUVzX7QJCNwAAAADsJ1JSUpSWlqaysjIZY1SvXj2lpqZGHzfGqHXr1rrtttvUv39/D2d64CB0AwAAAPAlI6OAjOtLvQO7Rq9rgsGg7r77bllr9c033+jWW2/V3//+9ypbgxljFAgEZIyhyu0SQjcAAAAAX3M/dtfNsGqMiTZH69atm1566aUatwyDuwjdAAAAAHyLRmo1CwQCCofDKigo0A8//KAdO3ZEm6tVatGihVq3bk0or2WEbgAAAAD+RSO1GjmOo5kzZ+rOO+/Ut99+q4KCAgWDQVlr5TiOgsGgfvvb3+quu+7yeqr7vYDXEwAAAAAA7FurVq3ShAkTVL9+ff31r39VRkaGJk6cqEcffVT9+vXToYceqlNPPdXraR4QCN0AAAAAfMlICpjozmGu3ur6+vL3339fjuPo4Ycf1vDhw5WUlKTu3btr3Lhxmjp1qsLhsN5//32vp3lAIHQDAAAA8DVj3L/VdevXr1erVq3UrFkzGWMUDAZVXFwsY4yysrI0bNgwTZs2rdp13tj3CN0AAAAAfMsH+dcT6enpKi8vVyQSUUJCgurXr68VK1bIWitJKiwsVEFBgRzH8Xim+z8aqQEAAADwNS82DKvrYb9Hjx6aNGmScnJy1KJFC/Xp00fPP/+8unfvrkgkoueff14DBw6MbjGG2sM7DAAAAAD7mZ49e2rUqFHKzc1Vy5Ytdd111+mrr77SBRdcIGutunTpouuvv16BAIufaxuhGwAAAIAvGSMFjHG96hyo62VuSZmZmXrggQeivz/ooIP05ptvatmyZXIcRx07dlSDBg3Yo9sFhG4AAAAAvuZ+cPRfUDXGKDMzU0cddZTXUzngELoBAAAA+Jb/4m/tsNbqq6++Um5ubszPadmypdq2bUu1u5YRugEAAAD4lwdbeBlT98K+4zj63e9+pw8++CDm50ycOFF33nlnLc4KEqEbAAAAAHwvEAjovvvui7vSjdpH6AYAAADgS0ZSQN5sGVbXGGN06KGHej0N1IDQDQAAAMDXCN01s9YqNzdX33zzjXJyctSzZ081b95cJSUl2rlzpzIzM9kyzAW8wwAAAAB8iyZgNbPW6r///a+GDBmi4447Tqeccoo+/vhjSdKqVat03HHHadGiRd5O8gBB6AYAAADga8YYl29en/HerV27VhMmTFCLFi305JNPKisrK/pYu3btlJ2drSlTpshxHA9neWBgeTkAAAAA7Gfee+89lZeX6//+7/9Ur149JSQkRB8Lh8Pq1auXZs2apUgkwhLzWsa7CwAAAMCXjJECu7bvcvMWkPvblMXrhx9+UIsWLdS4ceMaH09KSlJhYSGVbhdQ6QYAAADga64H4DoeuCUpOztbW7duVUFBQbXHysvLtXDhQjVr1kzBYNCD2R1YqHQDAAAA8C0f5F9PHH300dqxY4eeeOIJFRYWSpIcx1F+fr4ef/xxzZw5UyeddBKh2wVUugEAAAD4l3G/0l3Xl5ZLUqdOnfS73/1Od999t6ZMmaKcnBz97W9/0/33368VK1bopJNO0qhRo+j+7gJCNwAAAADEqa5H1WAwqEsvvVTdunXT5MmTFQwGVVRUpGbNmunSSy/VWWedpbS0NK+neUAgdAMAAADwpWhTM5fH9cM1unPnztWyZcs0evRoDRgwQOXl5XIcR+FwWMFgkAq3i/zw8wIAAAAAu+V293I/mDFjhh577DEZYxQMBpWYmKjk5GSFQiECt8sI3QAAAAB8y5v8WPdDa6dOnVRQUKCioiKvp3LAI3QDAAAA8KmK2rMxbt8qx667hg0bpubNm2vSpEnasmWLSktLVV5eXuXmOI6stV5Pdb/HNd0AAAAAsJ/ZvHmz8vPzdd999+m5555T27ZtFQ6HqxxzxhlnaPz48R7N8MBB6AYAAADgS8ZIAeN+zdnIH9uG1a9fXwMHDoz+PhKJVHnccRy3p3RAInQDAAAA8DX26a6uVatWeuKJJ5Senq5AoOarioPBoMuzOjBxTbfLrLVVrp2w1ionJ0eLFy/Wjz/+yLdNAAAAAH61Rx99VOedd57KysqUkJBQ442tw9xB6HaR4zh69NFH9cADD0SD92effaZBgwbpqKOOUp8+ffT666/TzAAAAACIkdvbhfll27BIJKJt27YpFGJxs9cI3S7auXOnHn30UaWkpCgQCKisrEz333+/IpGIHnzwQXXr1k233HKLtmzZ4vVUAQAAAPjYwIEDtXXrVn3zzTcU9TzG1x4u2rZtm3JyctSxY0cZY7Rp0yZ98sknuueee3Teeeepd+/eGjhwoJYvX67s7GyvpwsAAADUaUYeNVLzYMx4tWvXToMHD9a5556rCy+8UN26dVNiYmKVY1q0aKFWrVqxxLyWEbpdFIlE5DhOdGn5kiVLVFZWpt69e8sYowYNGigpKUnbt2/3eqoAAACAb7jeSM3d4X6Rb7/9Vs8//7yKi4t1ww031NhMbeLEibrrrrs8mN2BhdDtogYNGigzM1PvvvuuDj/8cL300ktq06aNWrZsKUnavn27ioqKVL9+fY9nCgAAAPiDNwG47sfujh076pVXXtnj0vI2bdq4N6EDGKHbRenp6Ro/frzuuecevfrqq9q6dav++Mc/ql69erLWatasWUpJSeGHHwAAAIiVMa4vj677kVvKzMzUkCFDvJ4GROh2VSAQ0FVXXaX27dvr66+/Vvfu3XXCCSfIGKOysjI5jqPrrrtOTZo08XqqAAAAAHbHD6l7l9LSUv3www/6/vvvVV5erkaNGumggw5SvXr1uJbbJYRulyUlJWnkyJEaOXJk9D5rrUKhkK655hrP5gUAAAD4jWeN1FT3c7e1Vt99951uvfVWvfvuu8rPz5e1VomJieratatuueUWHX/88TVe6419i9DtMmutNm/erOnTp+vrr79W8+bNdeWVV8oYo88++0xNmjRR69atvZ4mAAAAUPftSr6eNFKr46l7+/btOvfcc7V8+XKNHTtWvXv3VmJiopYvX67nn39e5557rl555RX179+finctI3S7yFqrpUuXavz48Vq7dq0cx1H37t112WWXKSEhQa+++qpWrlypKVOmVGvnDwAAAKA64mLNZs2apSVLluj555/XsGHDohVta63OPvtsnXrqqfrXv/6lvn37KhgMejzb/RtrCVxUVlam22+/XcFgULNmzdL5558ffcwYo5NPPlnz5s3T2rVrPZwlAAAA4C/Gg1td980336h9+/YaMGBAlSXkxhg1a9ZMw4cP17Jly1ReXu7hLA8MhG4X5eTkaMGCBbryyivVvXt3JSQkRB8zxqhVq1aSpDVr1ng0QwAAAAB75YPl2PXq1VN+fr6KioqqbRtmrVVOTo6Sk5O5ptsFvMMuKikpUSQSUXZ2tkwNWxuUl5crEonscS89AAAAABUqGqkZTyrddT129+3bVxs3btR9992nTZs2qaysTOXl5SooKNArr7yiqVOnavDgwSwtdwHXdLuofv36ysjI0BdffKGhQ4dWecxaq/fff1+O49BIDQAAAIgDjcCq69mzp6688kr99a9/1SuvvKKOHTsqISFB69at08qVK9W7d29NmDCB984FhG4Xpaena9SoUfrHP/6hgw8+WDt27FBZWZnWrVunDz74QHfccYeGDBmitm3bej1VAAAAALvhh5waDod1yy236KijjtKLL76o5cuXq7y8XK1atdLFF1+sUaNGqUGDBoRuFxC6XRQIBHT11Vdrw4YNmjBhgkpKSlReXq5+/fopPz9fAwYM0H333VflWm8AAAAAu2eMP0KwFxISEnT88cfruOOOU3l5uRzHUTgcViAQIGy7iNDtsvT0dP3973/XOeecozlz5mjjxo1KTU3VEUccoYEDByotLa3ufQD8sBEh9ksmEFAglCDR5wCeMIqUl3o9CRyAjIysY+Xwdx9cZmUl+fTnzuXPS139l7G1VgsWLND69et13HHHKTk5OdpLqrKwZ63VF198odWrV+u4445TvXr1PJ71/o/Q7TJjjBITE9WnTx/16dOn2mN1USAQVEJKskyAJgtwVzg5SUnpx3g9DRygCjav04aF73s9DRyQjLKyBssJN/F6IjjAWCei8oj/QrfhC6qovLw8XXrpperdu7dGjBix2+OKi4t16aWX6rHHHtNJJ51UZ3PI/oLQXctKSkpUUFAQc0fyQCCgzMzMOte63xgjU8fmhP2fkRSgoyY8YxQpLfF6EjhAORGHRT5wnbW+rXO7H7zr6Ad06dKlWrt2rR555JHddiU3xqhXr17q2bOn3nrrLY0YMYLQXcsI3bXsv//9ry6//PKYN51v1qyZ3njjDWVnZ9fyzAAAAAC/s5J15P6C77q5FP/bb79VgwYN1LZt2z0G6XA4rF69eum///2vIpFInSv47W8I3bWsTZs2Ov/88+U4TkzHp6enKyUlpZZnBQAAAOAXq6OV7oKCAoXD4ZgaM6empqqwsFCRSEThcNiF2R24CN21rHPnzrrlllu8ngYAAACw/6nMvl40UquDubtBgwbasWOHtm/frvT09N0eZ63VmjVrlJmZudtl6Nh3WEcAAAAAwJeMJGMd/W+5t3u3ungV9KGHHqri4mJNmzZttyttrbVau3atZs6cqaOOOorQ7QIq3bVs5cqVevvtt9WpUycNHjxYb7zxhtatW7fb41NTU3XWWWfRuh8AAACIkesBuA5WuSWpffv2OvHEE3XPPfcoNTVVp512mlJTUxUIBGStVXl5uZYuXarrr79eRUVFGjNmDE3UXEDormXLly/Xn//8Z5166qk65phjNHXqVH344Ye7Pb5Zs2Y66aSTCN0AAADAXtldbddj65+071RW1+uWcDisu+++W+vWrdPll1+uv//97+rRo4eysrJUUlKi5cuXa+HChQoEAnrwwQfVpUsXQrcLCN217JhjjtHcuXOVkpKihIQEPfTQQyouLt7t8cFgUA0bNnRxhgAAAICf1b3w6xVjjFq2bKkXX3xRjz/+uF566SW9+eabKi4uViAQUFZWloYNG6arrrpKRxxxBF3LXULormVJSUl65513FAqFdN5556lRo0YqKirS2rVr1bp1ayUnJ3s9RQAAAMDf2Kc7yhijRo0a6aabbtKVV16pnJycaFfz+vXrq0GDBgoGg1S4XcRXGy744IMPNGfOHNldH86VK1dq+PDh+vbbbz2eGQAAAOBzdTgAe8kYo9TUVLVp00bdunVTx44dlZ2drVAoROB2GZVuDziOo/z8fEUiEa+nAgAAAPgfwRt1GKEbAAAAgD/ZXY3U3L6u29bNRmqomwjdLrM/+xbu57+vxJIPAAAAIBYehV8yN2JE6HbJ0qVLNWnSJBljtGHDBhUWFmrKlCmaM2dOlePS0tI0evRotgwDAAAAYuXy8nLDcnbEgdDtgoSEBH399df6+uuvq9z/8MMPVzu2RYsWOvHEEwndAAAAwF5ZGetIcnuVKKEbsSN01zJjjO644w5dddVVMR2fkJDAPt0AAABAHLgws2bl5eX6/vvv9d1332nnzp3VLm1t3769OnfuzKWttYzQXcuMMWrTpo3atGnj9VQAAACA/Y+1uxqbuTxmHa92FxUV6d5779Xjjz+u/Pz8Go+ZOHGi7rzzTpdnduAhdAMAAADwMS/Cb90O3JL0/vvv629/+5tGjx6ts88+Ww0aNKhW0c7OzvZodgcWQjcAAAAAf6rMvm43NvNBI7XPP/9cbdu21Z/+9CdlZmayhNxDhG4AAAAAPlW5tNyDRmp1PHinp6crJSVFiYmJBG6PBbyeAAAAAABg3zruuONUVFSkTz/9tFoDNbiLSjcAAAAA//KkkZrL4/0CDRo0UJ8+fXT++edr9OjR6tSpk0KhqvGvS5cuOvTQQ6mE1zJCNwAAAACfqvtdxL2yevVqvfzyyyorK9PDDz9c4zHXXnutDj30UJdnduAhdAMAAADwNxqpVdOtWzd9+OGHe1xanpWV5eKMDlyEbgAAAAD+ZCU5juT28mgf7NOdkpKiLl26eD0NiNANAAAAwO98UHn2grVWBQUF+vrrr7Vy5UqVlZWpWbNm6tGjhxo3bqxAgL7abiB0AwAAAPApK+NB1dlYp64XumWt1WeffaaJEyfq888/l+P8r/lbs2bNdNNNN+ncc89VOBz2cJYHBkI3AAAAAB+zru/S7QcbN27U+eefr5KSEt1333068sgjlZCQoFWrVumJJ57Qb3/7WzVu3FgjRoyge3ktI3QDAAAA8DdPGqnV7VL3e++9p82bN+utt95Sr169osG6R48eGjJkiM444ww99dRTOvHEExUMBj2e7f6NRfwAAAAAfKpyj27rwa1uW716tQ466CB169atSiXbGKOMjAwNHDhQa9euVXl5uYezPDAQugEAAABgP9OgQQNt2bJF27dvr7ZtWCQS0apVq5SRkUEzNRfwDgMAAADwp2jh2bp/q+OOOeYY5eXlaeLEiVq6dKny8/NVUFCgDRs2aNKkSXr11Vc1YsQIhUJccVzbeIcBAAAA+FjdD8Be6NKli+666y7dcsst+s9//qPmzZsrISFBmzZt0vbt23XaaafpvPPO83qaBwRCNwAAAAB/80Hl2W3BYFAXXXSRjjzySE2bNk3Lli1TWVmZ+vXrp2HDhmnQoEFKTk6mc7kLCN0AAAAAfKqykZrLwdE6vgj6wWBQhx12mHr06CFrray1Va7hJnC7g9ANAAAAwN98EIDdVl5eruXLl6tp06bKzMyUMUYrVqzQM888o507d+rkk0/WgAED2C7MBTRSAwAAAOBbJrpntns3Yx13Tu5X+OqrrzR8+HCtW7dOkrR161adc845evTRR/Xaa69p1KhRmjNnTrXO5tj3CN0AAAAAfMzKSK7eKsety+bNm6e0tDS1bdtWkjR79mytWrVKU6dO1SeffKKuXbvqiSeekOPU/S8Q/I7QDQAAAMDf2DKsmh9//FHp6elKSkqSJH3wwQfq2rWr+vTpo6ZNm2rIkCH65ptvFIlEPJ7p/o9rugEAAAD4k/WokVodr3JLUlpamrZv366dO3cqHA5r3rx5GjhwYDSEVzZWY3l57aPSDQAAAAD7md69e2v9+vW66667dO+992rFihUaNmyYjDGKRCJatGiR2rRpo1CIOmxt4x0GAAAA4F/RarfLY9bxavcRRxyha6+9Vo899pjKy8t10UUXqV+/fpKk1atX64svvtB1111XZQsx1A5CNwAAAACf8ir82rqeuSVJ1157rS6++GJZa9WoUaPo9mDZ2dmaNm2aWrduzV7dLiB0AwAAAPA3t69L9sF10I899phmz56tJ554QmlpaVUey8jIUEZGhkczO/AQugEAAAD4F43UapSfn6/169crHA57PZUDHgv4AQAAAPgb24VVM2DAAOXk5Oi7776jQ7nHqHQDAAAA8CVjrYwHTc2MdWTqeLW7W7duGjx4sC644AJdccUV6tKlixISEqock5WVpezsbK7rrmWEbgAAAAA+Zl1fXO4H33zzjaZMmaL8/Hydd955SkhIqBaur732Wt15550ezfDAQegGAAAA4G+uN1Jzd7hf4uCDD9Zjjz0mx9n9dmqdO3d2cUYHLkI3AAAAAP9yHMnt5dHWqfPXdmdlZemMM87wehoQoRsAAACAb9Xt4FtXVDZS+3lDtcrl5lzTXbsI3QAAAAD8jX26a1RcXKw5c+boww8/1ObNm1VeXl7l8eOPP16nnXaaR7M7cBC6AQAAAPiTlW8CsNuKi4t1/fXXa/LkyWrcuLFWr16tFi1ayFqrH374QdnZ2TrssMO8nuYBgX26AQAAAPib2/t0+yDof/LJJ5o8ebLuvfdeTZ8+XdnZ2brzzjs1f/58Pfjgg2rUqJH69u3r9TQPCIRuAAAAAP5lHe0qeXtwq7s+/fRTtWzZUmPHjlVGRoaMMQqHw8rOztall16qQw89VA8//PAeu5tj3yB0AwAAAPA3qtzVFBUVKTMzU0lJSQoEAkpMTFRubq6stQoGg+rSpYu+/PLLatd5Y98jdAMAAADwKStj3a9wG2vreqFbrVq1Um5uroqLi5WcnKyWLVvqo48+UmlpqYqLi7Vo0SIlJiYqECAS1jYaqQEAAADwMSv3N7yKL3Fba1VUVKR58+Zp9erVat26tfr06aPk5OSYtusqKirSxo0blZaWpqysrJie06tXL+Xl5em7775Tjx49NGrUKN144406/fTTFYlE9OGHH+r2229XKEQkrG18rQEAAADA3+r48vLCwkJdddVVmjhxoubPn68bb7xRl112mXbu3LnX50YiET344IPq2bOn7rvvvpjH7Ny5s1577TW1bNlSkjR+/Hjdeeedys3NVW5urm6++WZdeuml7NHtAr7WAAAAAOBP1u5qpOZycIw2b4vN22+/rXfffVdvvfWWunbtquXLl+uEE07QG2+8obPOOmu3wddaq/nz5+vVV19VkyZNVFRUJGttTEE5HA7rN7/5TfT3ycnJuvrqq3XZZZdJkkKhEEvLXcK7DAAAAMDf6nClOxKJ6PXXX9eRRx6pLl26KBAIqH379urXr59ef/31PXYPz83N1R133KEJEyZEK9bxvS1WBQUFWrx4sT788ENt2bJFCQkJMsaoqKiIzuUuIXQDAAAA8C8PGqlVVLorQq3jOFVu9mehvLi4WCtXrlSnTp2ileVAIKBOnTppxYoVKikpqfG0IpGIHnroIaWnp2vUqFFxLwOvrJKfeOKJ6t+/vwYPHqwPPvhAkvTtt9/qhBNO0NKlS+N6TfwyhG4AAAAAPuZdG/HHHntM48ePj94eeuihatXj8vJy5efnKz09PRqcjTFKT09XUVFRjaHbWqt58+Zp6tSpuu2225SSkhL33NavX6/zzz9foVBIf/3rX1W/fv3oFwLt27dXUlKSnn/++WpfEmDf45puAAAAAD5VWXl2OTjuqq63adNGPXv2jN598MEHV6tIBwIBhUKhKvthW2tVXl6uYDBY43XVO3bs0K233qpzzz1X3bp1UyQSiXuK7733ngoKCvSvf/1LmZmZuvXWW6OPJSQk6IgjjtCcOXNUXl6ucDgc9+sjdoRuAAAAAP7lOJLbHbitI1lp2LBhGjdu3B4PTUhIUKNGjbRx48YqTdB+/PFHNWjQQMnJydWes2TJEn3xxRdq2LChLrzwQjmOo8WLF2vdunWaOHGi7rjjDmVkZOxx3DVr1qhVq1Zq0aKFCgoKqj2empqqvLw8rut2AaEbAAAAgK95uUR6b9daJyQk6Mgjj9SHH36owsJC1atXT8XFxZo/f76OOuoohUKhavNv3769/vnPf0Yr3JFIRAsXLlR2drb69eunhISEvc6rYcOGys3NVWFhYbXHIpGIvv76azVu3FjBYDCOs8UvwTXdAAAAAPzJ2orA6vbNqWyqtnfGGI0ZM0YbN27Uww8/rFWrVunRRx/VmjVrNHbs2Ghof/jhh3XHHXeovLxc2dnZGj16tMaMGaMxY8borLPOUtOmTdW+fXudcsopNVbHf65///7asmWLpk6dqtLS0uj9xcXFmjp1qt555x2deOKJhG4XUOkGAAAA4F8eVLmtbFz927p06aJHHnlEf/7znzVlyhRlZWXp4YcfVvfu3WWMkbVWq1ev1vr162us2htjlJ2drYYNG8bcxbxbt2665pprdOutt2rKlCnatm2bHn30UT300ENauHChBg4cqDFjxsTdFR3xI3QDAAAA8Lc63oE7EAho6NChOvroo1VSUqKEhAQlJiZWCbx33XWXHMepsalZMBjUP//5zxqbru1OKBTSxIkT1aVLFz399NNq2bKl1qxZo8aNG+vWW2/VhRdeqMzMzH1xetgLQjcAAAAAf7J2VyM1l8d1Iop3qzJjjBITE5WYmFjjY/Xq1dvjc1NTU2Max1qr4uJirV69Wrm5uerUqZMmT54c7ZielJRULfCjdhG6AQAAAPiYB1uG1VHWWq1bt05XXXWV3n//fRUXF6tevXo68cQT9eCDDyo7O9vrKR6QCN0AAAAAfMpGt+9ylePBmDGIRCK644479N///lennnqqOnbsqC+++EKvvvqqWrRooT/84Q9xLVHHvkHoBgAAAOBfnoTf2LuXuyknJ0ezZ8/WNddco9tuu02hUEilpaW66qqr9M477+jmm29WWlqa19M84BC6fcpaq4KCAi1evFhLly5VaWmpunbtqsMPP1xJSUnRazQcx9Hq1av10UcfqbCwUL169dJhhx2mUIg/egAAAPic1f+2DXN13LoXuCUpLy9PBQUFGjp0qEKhUPQ68mHDhunNN99UUVERodsDrC3wKWutbr75Zl155ZX65JNP9PXXX2vChAm66qqrVFhYGD3mvffe04knnqi33npLX3zxhcaOHat//OMfikQiHp8BAAAA8OtYWVnHqVju7eLNOo77QT8GjuPIcZwqRThJSkxMlLWWDOARyp0+ZYzROeeco9tvv10NGjSQJM2bN08nn3yyRowYoREjRqigoEC33nqrhg0bpj//+c8KhUJ66aWXdP3112vYsGHq1KmTx2cBAAAA/AqVubcOBmCvOI6jL774QkVFRdH7Fi9erNLSUs2bNy+aHSSpVatWatOmDZ3Maxmh26eMMerVq1eVD0iXLl2UkZGhFStWSJLWr1+vFStW6A9/+IMSEhIkSQMHDpQxRrNmzVLHjh35gAEAAMDfrCNZlxfw1uGQX15erquuuqrKv/Mdx1F5eblGjx5d5f7f/va3uvvuu72Y5gGF0O1jP/3AWGu1bNkybd26VQcddJCkig+c4zjRwC0pem3H0qVLq71e5ZKTny47KS8vr8UzAAAAAH4lL/JvHQ3dTZo00UMPPRTzv+EPOeSQWp4RJEL3fsFaq9zcXN1+++3q3r17tJrduHFjZWVlae7cuerbt6+MMVqyZIlycnKUm5tb42v95S9/0VtvvRX9/datW2Xd/uYQAAAAiIlHW4bZutm9PDMzU+PHj/d6GvgZQvd+oLCwUL///e+1Zs0avfDCC8rIyJAkNWzYUJdddpkmTZokY4waNmyoJ598UgkJCUpOTq7xtY4//nh17949+vtPPvlEf3nydTdOAwAAAIjPru7lrleevQj68C1Ct8+VlJToD3/4g2bMmKGnn35ahx56aHTZeSAQ0OWXX642bdpo5syZWr16ta6++mr96U9/UseOHau9ljFGhxxySJVlJqWlpTKEbgAAANRhdbGTOFCJ0O1jZWVl+vvf/65nn31WjzzyiPr161ftOu+EhASdcsopGjlypCRp4cKFysnJ0dChQz2aNQAAALCvWFkbcb+RmuOIUjdiRej2KWutJk+erD/+8Y+64YYbdPDBB2vlypWSpPr166thw4aSpP/85z8yxqh169Zat26d7r33Xo0dO1bdunWjczkAAAD8z4Psa2XJ3IgZodunHMfRRx99pCZNmmjatGl68803o4+NGTNGl1xyiSQpLy9PjzzyiMrKypSUlKSzzz5b48aNUzAY9GrqAAAAwL5R2dDM9Wu63R0O/kbo9qlAIKBJkybVuB1AYmJi9L/PPPNMjRw5UiUlJUpMTFRCQgIVbgAAAOw/HCsZDxqpkbwRI0K3TxljlJqaGtOxiYmJVYI4AAAAAMAdhG4AAAAAPmVlrVNReHZ1WLcHhJ8RugEAAAD4U+U+3S4v9baWRmqIHaEbAAAAgI9Z9yvPHgR9+BehGwAAAIBP2Yo9s43L+3SzvBxxIHQDAAAA8De3twwD4kDoBgAAAOBPdtfScut2pduDvcHhWy7/dAIAAADAPuRF9iVwIw5UugEAAAD4mK3oJu7ukEDMCN0AAAAA/Mla2Yj7Tc2s41DtRswI3QAAAAD8zfUATOBG7AjdAAAAAHzKSjbifiM1xxHBG7GikRoAAAAAxIXAjdhR6QYAAADgT1b/2zbM1XEtuRsxI3QDAAAA8CkP9+kmdSNGhG4AAAAA/mXl/pZhQBwI3QAAAAB8yVrJelLpdtgxDDGjkRoAAAAAxIHAjXhQ6QYAAADgXxXlbrcHFdd0I1aEbgAAAAA+VdlIzeVhHZe7pcPXCN0AAAAA/Kty2zDXBwViQ+gGAAAA4E/WSjbiSSM1LuxGrGikBgAAAADxIG8jDlS6AQAAAPiXtR7s003qRuwI3QAAAAD8qTJwuxy6rUP3csSO0A0AAADA37i+GnUYoRsAAACAfzmOFDDujunFNmXwLRqpAQAAAPApj5Z52+gvwF5R6QYAAADgT1YVVWfH7XHdHhB+RugGAAAA4FO7mqgZl6vO1lLoRswI3QAAAAD8y8qDLcN2DQzEgNANAAAAwJ+slXUicr1VlcPycsSORmoAAAAAEAdLIzXEgUo3AAAAAP+y1oN9urmmG7EjdAMAAADwJytvQrdD4kbsCN0AAAAA/M2TRmpAbAjdAAAAAHzKVjQ1CxiXh/ViSTv8ikZqAAAAAHzMg/BL4EYcqHQDAAAA8CVr7a6by1t4WYc+aogZoRsAAACAf1lHsu4u4LXWivbliBWhGwAAAICvWZZ7ow4jdAMAAADwKSvrOFLA5VZV1qHQjZjRSA0AAACAP3kVfAnciAOVbgAAAAD+Zd1fXm7FNd2IHaEbAAAAgD/ZXcvL3V7AG7FkbsSM0A0AAADAvzypdAOxI3QDAAAA8CUreVPpdhw6piNmNFIDAAAA4E/kXvgAlW4AAAAAPmVlrXV/eTlVbsSB0A0AAADAv6ytuLk9JhAjQjcAAAAAX3O98kzmRhwI3QAAAAD8yUo2Yl3vVGUdh2o3YkYjNQAAAAA+ZUXZGXUdlW4AAAAAvmR3/UIjNdRlhG4AAAAA/mS92qfb/Y7p8C9CNwAAAABfc7/S7epw8DlCNwAAAAB/slZOJCITcLfSXdFIzdUh4WM0UgMAAAAAoJZQ6QYAAADgX9b966srxqPUjdgQugEAAAD4kq0M3G5fZG0tmRsxI3QDAAAA8DU6iaMuI3QDAAAA8C3rWMm4PaZDoRsxo5EaAAAAAH+y8nD/LmI3YkOlGwAAAIBPVVxb7ck+3WRuxIjQDQAAAMCf7K49s91ewMs+3YgDoRsAAACAr9FIDXUZoRsAAACAL1nZikp3wN1Kd0V1naCP2NBIDQAAAACAWkKlGwAAAIA/2YqmZtZxu5Ga9a5pOnyH0A0AAADAt6zjyLq+vJzEjdgRugEAAAD4Go3UUJcRugEAAAD4krW2oupsXB7X2bWuHYgBjdQAAAAA+Jcn4ZfAjdhR6cZehcJBZTRKkQnw4wJ3BQNGKQkh17+9BiSpftpBym+S7vU0cIDatmG9cr5f5/U0cKBxHO3cnuv1LOJjJTlWVo67w3JNN+JAisJeBUMBpWYmKxDkxwXuCgWNGtRLkDGkbrivqH6yMps38XoaOABZa7Vo+nTlbtjo9VRwgLHWUSQ/3+tpxMlWXM9t3V5fbrmOHDEjRQEAAADwNQIw6jJCNwAAAAB/qtyj2+VOVdZxdzk7/I1GagAAAAB8jCo36jYq3QAAAAD8y7rf2MxakfURM0I3AAAAAF+q2KfbkQIuL+B1HJG6EStCNwAAAABfo5Ea6jJCNwAAAAB/srZiabnrO4ZZCt2IGY3UAAAAAPiXF1VuLupGHKh0AwAAAPAta60cl7fwstZ6kvXhT1S6AQAAAPiSlVeFbhI3YkelGwAAAICPUXVG3UboBgAAAOBPXjVSc6w3JXb4EsvLAQAAAPiXJ9mXwI3YUekGAAAA4E9WknVkHXdL3dZaYjdiRugGAAAA4FO7lpe7vX7XcVhejpgRugEAAAD4GI3UULcRugEAAAD4krXypNJtHVI+YkcjNQAAAACIC6EbsaPSDQAAAMCfrP3ftmGuDsuWYYgdoRsAAACAb1UsL3d5o26WlyMOhG4AAAAAPkYjNdRthG4AAAAA/lS5tNzlQnfF8nJ3x4R/0UgNAAAAgH95EX6tJXMjZlS6AQAAAPiXtbKO60OKUjdiRegGAAAA4EvWSo5jZVzfp9uJO3PbGi48N2b36+JrOn5vz0HdROgGAAAA4GN1v5GatVZr167VU089peXLl6tdu3Y699xz1bZt2xpDtLVWixcv1syZM/X1119Lknr37q0zzjhD9evXJ3j7DNd0AwAAAPAna/+3Z7aLN+vY3Vaia7Jp0yadffbZ+uabbzRixAitWrVKZ511ljZu3Fjj8SUlJbrzzjv1zTffaPDgwRowYICeeOIJXXjhhSooKNhX7x5cQqUbAAAAgH9Zud69PJ615dZavfDCC9qxY4dee+01ZWdna9iwYRo8eLCef/55TZw4sVrlOiEhQQ899JCysrIUCoVkrVWXLl00YsQILViwQIMGDdrXJ4RaRKUbAAAAgH9VVp7dvMWxnL28vFyzZs1S79691ahRIxljVL9+ffXr10/vvvuuIpFItecEAgE1adJEoVBFjdQYo0aNGikYDGrbtm376p2DSwjdAAAAAHzJVu7T7fYSc6din+7CwkJt3749etu5c2e1ZeclJSX6/vvv1aZNGwUCFfHLGKM2bdpow4YNKioq2ut5Oo6jmTNnRive8BeWlwMAAADwtXiur96X7r33Xj388MPR3w8bNkx/+tOfFAwGo/dFIhEVFxcrOTk5ep8xRklJSSorK1N5efkex7DW6vPPP9cf//hHXXDBBerQocO+PxHUKkI3AAAAAN+yjpVc7uZdGfInTJigESNGRO/PyMiIVrMrBYNBJSUlValoW2tVXFyscDiscDi8x3FWrFihCRMmqHfv3rrxxhurBHr4A6EbAAAAgD95tVXYrnFbtWqlHj167PHQxMREtWzZUqtXr5bjOAoEArLWas2aNWrevLmSkpJqHsJa/fDDD7rwwgvVvHlzTZo0Senp6WwX5kNc0w0AAADAt6zjyHH5Zh1HsXZTC4VCGjJkiD755BNt2bJF1lpt27ZNc+bM0dChQxUMBmWtVUFBgfLy8iquU7dWOTk5uuSSSxQMBvXII48oKyuLwO1TVLoBAAAA+JONr5P4Phw25iK7MUajRo3S1KlTdcUVV2jkyJF66623lJSUpLPOOit63O23364ffvhBkydPliTdeOON+uSTT3TrrbdqwYIF0eMOPfRQtW3bdl+eDmoZoRsAAACAf1nJur7OPL7xGjdurClTpuipp57S9OnT1aFDB/3hD39Q06ZNZYyRtVYHH3xwdPl4eXm5GjRooKFDh+rTTz/Vp59+Gn2t1NRUQrfPELoBAAAA+JJVZVMztxupKa7cbYxR69atddttt8laK2NMtaXil1xySfTYUCikBx54YLevBX8hdAMAAABAPGz0l7jUFLZ3dz/hev9B6AYAAADgT7ZiyzDrcj71al9w+BOhGwAAAIAvVSwvd3/nMBt783KA0A0AAADAx3zQSA0HNkI3AAAAAH+ytmLPbJevf7ZelNfhWwGvJwAAAAAAvkLgRhyodAMAAADwJyvJs0ZqJG/EhtANAAAAwLc8aWjmiMyNmBG6AQAAAPiXJ43UgNgRugEAAAD4krVWjmNlXG6k5lhiPmJHIzUAAAAAAGoJlW4AAAAA/uVBIzWxZRjiQOgGAAAA4E+2spO4y8Na61EHN/gRoRsAAACAf3nRSI3AjTgQugEAAAD4krUVTc2M3G6kxupyxI5GagAAAAAA1BIq3QAAAAB8ynrSSM3SSA1xIHQDAAAA8Cev+pkRuBEHQjcAAAAAX3O9gzmhG3EgdAMAAADwJSsrG3FkjduN1KwnW5XBn2ikBgAAAMC3iL6o66h0AwAAAPAnK8la96/rpsqNOBC6AQAAAPiTlawjubxNd0XmJncjRoRuAAAAAP5lK67tdntMIFaEbgAAAAC+ZR0rudxIjX26EQ8aqQEAAABA3EjdiA2VbgAAAAC+ZK2Vdawc424AptCNeBC6AQAAAPiT3bXU2+VOaiwvRzwI3QAAAAB8zbKFF+owQjcAAAAA//KqkRoQI0I3AAAAAN+yIgSjbiN0AwAAAPAlayu2DLNuX9MtS9BHzNgyDAAAAIBPWXmRfcnbiAeVbgAAAAD+ZSsqz+6OSepG7AjdAAAAAPzJStZxvGmkRu5GjAjdPmatleM4chxH1loFg0EFAgGZn/2lY61VJBKR4zgKhUIyxlQ7BgAAAACw7xG6fezTTz/VY489pi1btqisrEwtW7bU+PHjddRRRykQqLhc33EczZo1S0899ZS2b9+uQw45RFdccYWaN29O8AYAAIC/WUmOlXX7n7VUuhEHGqn52ObNm9WqVStdeuml+u1vf6ukpCSNHj1an332mayt6Kj40Ucf6aKLLlL37t119dVX65tvvtHFF1+sgoICr6cPAAAA/HrW/RuXdCMeVLp97MQTT9Tw4cOjv+/Vq5c+/PBDvfnmmzr88MMViUT00EMPqW/fvpo4caJCoZDatm2rwYMHa/bs2Ro+fDjVbgAAAPga+3SjrqPS7WOV129X3ir/sklJSZEk5ebm6vPPP9egQYOi13K3bt1aBx98sD788EMvpw4AAAD8atZa2YiVdeTqzYmwTzdiR6Xb54qLizV//nzl5eVp+vTpSk9P1+jRoyVJeXl52rZtm1q2bBmtaIdCITVr1kyrV6+u9lrWWuXk5Cg/Pz9636ZNm8QFKwAAAKjLCMCoywjdPrdz504988wzWr9+vb799ludcMIJysjIkCSVlpbKcRwlJiZGjzfGKCEhQXl5edVey1qrv/3tb3r55Zej9xUUFMgmZ9f+iQAAAAC/gLVW7l8wSchH7Fhe7nMNGjTQo48+qmnTpumdd97Rxx9/rD/96U+SpOTkZIVCIe3cuTN6vOM4KiwsVFpaWrXXMsbo+uuv1/vvvx+93XPPPVz3DQAAgDrJ2spfPBgXiBGVbp8zxigUCikUCqlTp07q37+/5s2bp9LSUqWnp6tx48ZatWpVxTeAxqisrExr167VcccdV+NrZWZmKjMzM3pf/fr1XTwbAAAAIB7Wu0ZqBG/EiEq3T1lrtXbtWpWVlUW3B8vPz9eyZcvUqlUrhcNhZWRkaMCAAXrrrbe0c+dOWWv15Zdf6vvvv9eQIUO8PgUAAADg17HyrpEaqRsxotLtU47j6A9/+IPy8vLUs2dPRSIRzZ49W5s3b9YDDzwQXRJ+9dVXa9SoUZowYYK6d++ul156SSNHjtQRRxzBsnEAAAAAqGWEbp8KBAK69dZb9f777+ubb76RJI0aNUpDhw5Vs2bNooG6U6dOevXVV/Xaa68pJydH119/vYYPH66EhAQvpw8AAADsExWrPl0flOXliBmh26eMMWrRooXGjh1b7f6f/75du3b67W9/u9tjAAAAAF+ykhzJ7fblNFJDPAjdPhdrgCZoAwAAYH9krQdXV5O6EQdCNwAAAABfstZKjvWg0m0J3ogZoRsAAACAr3myZRgQI0I3AAAAAN9yHKuAy6VuKw+at8G32KcbAAAAgD9ZedJFnMCNeFDpBgAAAOBLlZmb5eWoywjdAAAAAPzJSopYyeWdeiz7dCMOLC8HAAAAAKCWUOkGAAAA4FPWk+XlVh7sDQ7fInQDAAAA8C1rrazry8sl1pcjVoRuAAAAAL5EIzX4AaEbAAAAgG851v1GahHLPt2IHY3UAAAAAACoJVS6AQAAAPiSleRU/oeLHHeHg88RugEAAAD4lrWSdXd1udimG/EgdAMAAADwJ0sjNdR9hG4AAAAAvmTlTSM1x7JPN2JH6AYAAADga24XugnciAehGwAAAIAvWUkRKwVcvqbbIXUjDmwZBgAAAABxqLiO3OtZwC+odAMAAADwLRqpoa4jdAMAAADwJWstjdRQ57G8HAAAAADiQOBGPKh0AwAAAPAlK8mp/A+XxwViRegGAAAA4FvWStbl7uVcQo54ELoBAAAA+JrbjdTI3IgHoRsAAACAL1Xs020V8KSRGtEbsSF0AwAAAPA1lnujLiN0AwAAAPClykZqLl/SLUcEfcSOLcMAAAAA+JYn4ZfAjThQ6QYAAADgW1buB28yN+JB6AYAAADgS9ZKjpXr68sdS/BG7FheDgAAAABALaHSDQAAAMCXKhqpuV92dtgwDHEgdAMAAADwLWsl6/LycjqXIx6EbgAAAAC+ZbXrum6XxwRiRegGAAAA4EuVjdQCXjRSI3kjRoRuAAAAAL5mScCowwjdAAAAAHzJysqRlXF5zzBLIzXEgS3DAAAAAPiWF0VuCuuIB5VuAAAAAL5l5X4IJnMjHoRuAAAAAL4U7VzuRSM1d4eEj7G8HAAAAACAWkKlGwAAAIAvWUmO3C87OxWL2t0dFL5F6AYAAADgW9ZK1uXl5Zbl5YgDoRsAAACAb3nWSI3UjRgRugEAAAD4krU0UkPdR+gGAAAA4GuWjbNRhxG6AQAAAPhSZSM143Kp21LnRhzYMgwAAACAb3lR5KawjnhQ6QYAAADga15kYHI3YkXoBgAAAOBLFcvL3V++67g8HvyN0A0AAADA12ikhrqM0A0AAADAp6wnjdQcWqkhDjRSAwAAAOBbnhS5rbioGzGj0g0AAADAl6zdlX9dDsDkbcSD0A0AAADAl6wkx0oury6XYwneiB2hGwAAAICv0UgNdRmhGwAAAIBvedFIzdJIDXGgkRoAAAAA3/KiyF0xJrEbsaHSDQAAAMCXKmMvq8tRlxG6AQAAAPhWxEoBGqmhDiN0AwAAAPCl/1W6icCouwjdAAAAAPzJetdIjVI3YkUjNQAAAAC+5VUjNTI3YkWlGwAAAIAv2cqbywmYwI14ELoBAAAA+JZjJZdXl9NIDXEhdAMAAADwNT80UrPW/n979x4cVX33cfxzdjfZzc0QUgghGMIlUJHKNSBTQitgg4ZIAOtYJe2M3AqilEolVEenY1qoofYipmUsGSxQ0I5atNAWhNoOGhhARB65KAEhBrlFSEKS3WX3/J4/fLJtGqT1IZsly/s1szPMOTns94TDOedzfpcjn8+npqYmeTweeTweWdaVnxYYY+T1euX1ehUXFye32/0ft8G1hzHdAAAAADokIyNbRrbUzp8vFvJt29bmzZtVUFCg22+/XQUFBdq0aZNs277iNn/84x+Vn5+v22+/XYWFhXrzzTc7xAMGtEToBgAAANBhRWoitS/iwIEDmjNnjr7xjW9o/fr1Kigo0Lx587R///7LhmhjjHbt2qXvfe97uvvuu7Vu3Trl5uZq9uzZOnLkCMG7gyF0AwAAAOiQmidSs037fpq/97+q0RitXbtW6enpmjt3rvr27atZs2YpKytLa9as+dwAvWrVKt1000164IEHlJ2drYcffljJycl66aWX2ui3h/ZC6AYAAADQYdn6l1nM2+nz+Z3CW/P7/dq5c6eGDx+u+Ph4SZLH49HIkSNVUVGhQCDQapvGxkbt3r1bI0eOlNvtliQlJCRo6NChevvtt6/YLR3XHiZSwxXZtq2At0F1x/5HlsMZ6XJwnXE5HbLjOE0hMvwBW75L3NSg/RljdOn8x7Ivnot0KbjuGCnoUzAYjHQh/zWvbJ2Wr70nL5eR5JOtI0eO6O233w4tT01NVb9+/VpMdub3+3X27Fmlp6e3WN6tWzedP39eTU1Nio2NbfH3e71effrppy22sSxL3bp10969e+X3+xUXFxfenUSb4W4WVxQTE6OMRKcCf18pMVPiF1Zz7pyavF71yMjg9/f/cElSU6SL6KiM0fETJ5ScnKxOnTpFuhpcZwKBgI4dO6aemZmK/b8WGnwxPWxb8kS6io7HyOiTTz6Ry+VS1y5d1O7vkergjIwCN6aGWlavdZ07d1bqzdn6KELfn2pStWHDBm3cuDG0bNy4cVq6dKmczn82Vtm2rUAgIJfrn9HLsiw5nU4Fg8HLtlrbtq1gMNhqG5fL9bnb4NpF6MYV5eXlKTc3t8V/ePz3ysrK9O6772rFihW83gHtKhgM6t5779WUKVP0rW99K9Ll4Dpz5swZTZgwQS+uX6c+ffpEuhxcR4wxWrhwobp27apFixZFupwOKRgMyuPpGE987rrrLuXl5UXs+5vHYv/rPZ7L5ZLD0XIEr8vlUlJSkurq6mSMkWVZMsaovr4+9BqwfxcTE6OEhIRW29TV1SkhIUExMTHh3Tm0KZIUrig2NrZVdxf8d4wxio2NlcvlUkJCQqsTMBBOgUBATqdTbrdbiYmJkS4H15mGhgY5HA7Fx8dz/KFd2batmJiYUGDhgXd0a/63vtZ5PB717dtXhw4dCrVe27atgwcPKjs7+7KhOzExUVlZWTp48GAodAcCAR0+fFj9+/fvEPuNfyIFAAAAAECYOBwOTZ48WTt27NCBAwdkjNEHH3ygt956S5MnT5bD4ZAxRocOHdK+fftk27acTqcmT56sN998U5WVlTLG6L333tPevXtVWFgY6V3CF0RLNxBGLpeLngKIGLfb3WJMGdCePB4PrYyIiI7S+onrh2VZys/P1+bNm1VUVKQhQ4bovffe09e+9jUVFBSEuo6XlpbqxIkT2rhxo2JiYvTNb35T27Zt07333quvfOUreuedd1RYWKhx48Zxfu1gLMOb1YGwMMbo1KlTamhoUJ8+fTg5ol01P0Xv3LmzunTpEulycJ3x+/06ePCg+vfv32HGhiI6GGP00UcffTYRbEYG115cM4wx8nq92rlzp44fP64bb7xRt956q+Li4kKh+x//+IcuXryoCRMmyOl0yhijxsZGVVRUqLq6Wr169dKIESPkdrs5tjsYQjcAAAAAtJPLTcB2peXN6wjaHRehGwAAAACAMGEiNQAAAAAAwoTQDQAAAABAmDB7OXCVjDGybVvGGDmdTlmWJZ/Pp/379+vAgQNyOBwaNGiQvvzlLzObKtqcbduqrq5W586dFR8fz3gvtDtjjPx+vz7++GN9/PHHqq+vV1xcnDIzM5WZmanY2FiOS4SFMUbGGNXU1OjIkSM6efKkfD6fkpKSlJWVpd69e3NeBHBNYEw3cJVs29avfvUrOZ1OzZs3T42NjSouLta6desUHx8vSfL5fJozZ44WL14st9sd4YoRTbxeryZMmKBLly7pnnvuUX5+vrKyskIPgIBwMsZo586dKikp0a5du1RXV6dAIKDY2FglJydr+PDhevzxx5WTk8PxiDbX2Nio5cuXq7y8XGfPnlVcXJycTqf8fr8CgYAGDBigxx9/XOPGjZPDQedOAJHDGQi4SsFgUG+88YZ69+4tSdq0aZO2bNmiVatWaceOHaqoqFBZWZnWrVun7du3R7haRJvm14nEx8ertLRUubm5Kioq0muvvaaamhrZth3pEhGljDGqrKzU9OnT1bVrVz377LNas2aN5s6dq8zMTP3iF7/QwIEDNX36dO3duzfS5SLKGGP0/PPPa9WqVVqwYIH+/ve/q6KiIvTZsGGDcnJy9OCDD+rAgQORLhfAdY7u5cBVag49X/rSl2RZlnbu3KnvfOc7ys/PD7XsTJkyRXv27FFFRYXGjh1Liw/aVGxsrJYtW6bk5GT95S9/0UsvvaQHHnhA3bp106RJkzR16lTdfPPNvNcTbW7Lli0aPHiwfv3rXys2NlaSNGnSJBUXF+vYsWN66qmnlJiYqLKyMq1YsUJOpzPCFSNa+P1+bdy4UUuXLlVBQUGrc1vPnj2Vk5Oj8+fPa+vWrbr55ps5/wGIGFq6gavkdDqVlZWliooK2batzp07q76+Xv86csO2bdXX14duSoG21nwczp49W5s2bdLmzZtVWFio119/XXl5eZo0aZKOHz8e6TIRZerq6tSjR4/QuG3LsuR0OtWzZ09VV1fL4XBo/PjxOnr0qPx+f6TLRRQxxigYDCouLu6y6y3LksPhUFxcnC5dutTO1QFAS7R0A1fJ4XBo+vTpmj17tmJiYjR06FD94Ac/UHJysnJzc2WM0datW0MtkDxpRzhZliWPx6OhQ4dq6NChWrhwoSoqKvTKK6+ooaEh0uUhygwePFgLFy5Ufn6+Bg8eLMuy9OGHH2r16tWaOXOmpM/G3bpcLs59aFNut1tjxozRY489Jq/Xq2HDhikhIUEOh0PBYFBnz57V66+/rj//+c9at25dpMsFcJ0jdANXybIsjRo1SqWlpfrRj36kqqoq1dbWavHixfJ4PHK73crKytLTTz+tW265JdLlIso0t+ZcbrkkpaSk6I477lBeXl57l4YoZ1mWxowZo69//eu6++67lZaWJqfTqerqan31q1/V1KlTJUn79u3TsGHD6OmDNvfwww/r3Llzmj17towxSklJkcvlUlNTk2pra5Wamqonn3xSw4YN46EPgIhi9nKgjRhjVFdXp/379+vIkSNqaGhQUlKSevfurYEDByo5OZmLPtpcMBjU7t27NWDAACUlJUW6HFxnjDHy+Xx66623tHPnTgUCAd1yyy0aO3Zs6HhsamqSw+GQx+OJcLWINs1dzCsrK7Vv3z5VVVXJ5/PphhtuUHZ2toYMGaIuXbpw7QUQcYRuAAAARJXm21sCN4BrAd3LgTZgjFEgENCpU6cUCASUlpamuLi4Fhf706dPKxAIqHv37twEoE0ZY9TQ0KAzZ87I7XaHuvk2H2fGGH344YfKyMhQQkJChKtFtLFtWzU1Naqrq1NKSopSUlJanOOamppUVVWlPn36MHs52pQxRvX19aqsrFR8fHzo1Z07duzQ+++/r169eik3N7fV9RgA2huzlwNtoK6uTvPnz9fIkSOVk5Oj/Px8/e1vf1MwGAz9zIsvvqgVK1ZEsEpEI2OM9u3bp4kTJyonJ0cjRozQ3LlzVVVVFWrpCQQCmj9/Pu+qRZsLBoNatWqVRo8ereHDh2v06NFavny5GhsbQ8ff0aNH9eCDD8rr9Ua4WkQTY4xOnDihwsJCjR07Vrm5ufrJT36i8vJy3XPPPSotLVVRUZEeffRRZs4HEHGEbuAqGWNUXl6u7du366c//al+85vfqFOnTrr//vv1u9/9ToFAQNJnN6fNfwbaSlNTkx599FGlpaXphRde0A9/+ENVVFRo6tSp2r9/fyj4+P1+2bYd4WoRTYwx2r9/v0pKSlRUVKS1a9fqzjvv1I9//GN9//vfV21trYwxsm1bPp8v0uUiCj377LOKiYnRa6+9pjVr1mjLli165plnVFZWpl27dukPf/iD3njjDe3Zs0eMpgQQSXQvB65SIBDQ1q1b9eSTT2rKlCmSpDvvvFPPPfecHnvsMdXV1WnOnDkRrhLRqrq6WmfOnNELL7ygbt26SZImTpyoBQsW6L777tNvf/tbDR06NMJVIlpt375dt912m4qLi+VyuZSXl6cJEyZo3rx5mjt3rn75y19GukREKZ/Pp3fffVeLFy/W6NGjJUkffPCBNm7cqPz8fMXGxio3N1e33Xab3nnnHY0aNSrCFQO4ntHSDVwlY4yampqUkZEhy7JkWZbi4+O1YMECLV26VKWlpXr66afpWomw8Pl88ng86tSpU+j4y8zM1MqVKzVq1CgVFRVp27ZttHIjLC5evKj09PTQWG2n06lx48Zp/fr1Onz4sKZPn66TJ09GuEpEI9u2ZYxpce5LS0sLzWkhSQ6HQ926dVNtbW2EqwVwvSN0A1fJ6XSqR48e2rdvX4vuay6XS9OmTdNzzz2nlStXauXKlXRvQ5vr3Lmz/H5/i2BjWZY6deqkn//85yosLNSsWbN0+PDhCFaJaJWVlaX3339fly5dCi2zLEuDBg3S+vXrdeHCBc2bN4/u5WhzMTExcrvdqqysDC3LycnRjBkz5HB8dnsbDAb10UcfKSMjI1JlAoAkQjdw1RwOh8aPH68//elPampqarWuoKBA5eXlcrlccrvdEaoS0apLly7q37+/Nm7c2OKhjmVZSkxM1FNPPaXvfve7MsYwczTalGVZGjFihKqqqlo91LEsS3379tXvf/973XTTTYqNjWX2aLQpl8ulsWPHqqqqKtSTJysrS6NHjw4da8ePH9ehQ4c0atQojj8AEcV7uoE24PV6VVNTo7S0NLlcradKMMbo5MmTcrlc6tq1Kxd/tBljjC5cuKBgMKjU1NRWx1bz6+yaW3vi4+MjVCmikW3bOn36tG644YbLvo6u+ZVO586dU1ZWVqgFErhaxhgFg0EZY+RyuS57Xb148aI+/fRTZWRk8NARQEQRugEAAAAACBMeOQMAAAAAECaEbgAAAAAAwoTQDQAAAABAmLSe8QkAgCj379OZWJbVavZ3AACAtkBLNwAg6hhj5Pf75fV6W318Pp9s29bLL7+s8vJyBYNBSdKZM2e0ZMkSHTx4MMLVAwCAaEJLNwAg6vj9fs2cOVN79+5ttS49PV2rV6/WK6+8ohMnTmjatGlyuVw6ffq0lixZon79+mnAgAERqBoAAEQjQjcAIOrYtq2jR4+qoaFBc+bMUUxMTGhdUlKSEhISVFRUpPr6erlcXAoBAED4cKcBAIha6enpmjdvnuLi4losN8ZozJgxMsbI4bjySCvbtvXJJ5/o6NGjCgaD6tmzpzIzM+V0Olv8zKlTp1RZWSm/36/U1FT17t1bSUlJjA8HAOA6R+gGAFx3bNtWcXGxqqurtX79esXGxl7257xer5YvX66ysjLV1dVJkjwej2bMmKFFixYpLi5Otm1r1apVKikpUW1trSzLksvlUr9+/fTyyy+rS5cu7blrAADgGkPoBgBErZqaGr366qstQvXAgQOVnZ2tmpoanTlzptVM5s2MMSovL1dpaakWLVqkiRMnyul0asOGDSopKVH37t01c+ZMVVdX64knntD48eP1yCOPKCUlRWfPntXu3btbtIYDAIDrE6EbABC1jh49qkceeSTUxduyLBUXFys7O/s/bnv+/HmVlZXp/vvv1/z580Pd0B966CHt2rVLa9eu1be//W3V1taqtrZWeXl5GjhwoCSpR48eGjx4cNj2CwAAdByEbgBA1BoyZIheffVVeTye0LJ/H9/9eaqqqnTs2DFt27ZNhYWFLVrEDx8+rEAgIJ/Ppx49emjQoEFavHix9uzZo9GjR2vIkCHq0aPHfxwvDgAAoh+hGwAQtVwul1JSUloF7eZ3c19JXV2dgsGg0tLSdOONN7ZYl5mZqZSUFLlcLsXHx2v16tV6/vnntW3bNq1Zs0ZOp1P33XefnnjiCSUlJbXpPgEAgI6F0A0AwGV06tRJMTExuuOOOzR//vwrzkLeq1cvlZSUyOv1qrq6WqtXr9ayZcs0aNAgTZs2rR2rBgAA1xr6vQEAcBmZmZnq37+/XnzxRZ07dy7UvdwYo2AwqNraWhlj1NTUpMbGRlmWpfj4eGVnZ2vmzJlKTEzUsWPHIrwXAAAg0mjpBgDgMm644QYVFxdr1qxZmjZtmmbOnKnu3bvr1KlT+utf/6qUlBQtWbJEe/bsUUlJie666y4NHDhQgUBA69atk8/n04gRIyK9GwAAIMII3QCAqONwOEIziX/eZGb9+vVTcnJyaH1CQoJuvfVWpaamSvpspvPCwkK53W4988wzeuihh+T3+5WcnKyRI0dqxowZkqT09HQlJCToZz/7mS5cuCCn06mMjAwtW7ZMY8eObYe9BQAA1zLLfN4LSgEA6KCMMbJtW9Jnofvfx2Nfbn3zMsuyWgR1Y4y8Xq/OnTsnv9+vxMREpaamyul0hrYLBoM6f/686urq5HA4lJqaqqSkpCuOAwcAANcHQjcAAAAAAGHCRGoAAAAAAIQJoRsAAAAAgDAhdAMAAAAAECaEbgAAAAAAwoTQDQAAAABAmBC6AQAAAAAIE0I3AAAAAABhQugGAAAAACBMCN0AAAAAAIQJoRsAAAAAgDAhdAMAAAAAECaEbgAAAAAAwoTQDQAAAABAmBC6AQAAAAAIE0I3AAAAAABhQugGAAAAACBMCN0AAAAAAIQJoRsAAAAAgDAhdAMAAAAAECaEbgAAAAAAwoTQDQAAAABAmBC6AQAAAAAIE0I3AAAAAABhQugGAAAAACBMCN0AAAAAAIQJoRsAAAAAgDAhdAMAAAAAECaEbgAAAAAAwoTQDQAAAABAmBC6AQAAAAAIE0I3AAAAAABhQugGAAAAACBMCN0AAAAAAIQJoRsAAAAAgDAhdAMAAAAAECaEbgAAAAAAwoTQDQAAAABAmBC6AQAAAAAIE0I3AAAAAABhQugGAAAAACBMCN0AAAAAAIQJoRsAAAAAgDAhdAMAAAAAECaEbgAAAAAAwuR/AdhUc7OziHWuAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "!ls {dest_path}/raw_traces/*.csv | trace_pearsons --pipe -O {dest_path}\n",
    "\n",
    "# Display the correlation matrix\n",
    "img = mpimg.imread(f\"{dest_path}/trace_correlation_matrix.png\")\n",
    "fig, ax = plt.subplots(figsize=(10, 10))\n",
    "ax.imshow(img)\n",
    "ax.axis('off')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-6",
   "metadata": {},
   "source": [
    "## Step 3: Remove poorly-correlated ROIs\n",
    "\n",
    "For each ROI, we compute its **mean Pearson correlation** with all other ROIs. ROIs below the threshold are removed from the working folder before merging.\n",
    "\n",
    "A threshold of **0.70** is conservative: it removes only clear outliers while preserving the vast majority of the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "cell-7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Kept    FOV_26_4DNFI2HV38L6.csv  (mean Pearson = 0.864)\n",
      "Kept    FOV_27_4DNFI2HV38L6.csv  (mean Pearson = 0.855)\n",
      "Kept    FOV_29_4DNFI2HV38L6.csv  (mean Pearson = 0.854)\n",
      "Kept    FOV_30_4DNFI2HV38L6.csv  (mean Pearson = 0.789)\n"
     ]
    }
   ],
   "source": [
    "# Load the correlation matrix saved by trace_pearsons\n",
    "corr = np.load(f\"{dest_path}/trace_correlation_matrix.npy\")\n",
    "traces = sorted(Path(f\"{dest_path}/raw_traces\").glob(\"*.csv\"))\n",
    "\n",
    "# Mean correlation per ROI (exclude self-correlation on the diagonal)\n",
    "np.fill_diagonal(corr, np.nan)\n",
    "mean_corr = np.nanmean(corr, axis=1)\n",
    "\n",
    "# Remove ROIs below threshold\n",
    "threshold = 0.70\n",
    "for trace, mc in zip(traces, mean_corr):\n",
    "    if mc < threshold or np.isnan(mc):\n",
    "        trace.unlink()\n",
    "        print(f\"Removed {trace.name}  (mean Pearson = {mc:.3f})\")\n",
    "    else:\n",
    "        print(f\"Kept    {trace.name}  (mean Pearson = {mc:.3f})\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-8",
   "metadata": {},
   "source": [
    "## Step 4: Re-run Pearson to verify improvement\n",
    "\n",
    "After removing the outlier ROIs, the correlation matrix should show higher overall values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "cell-9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------- Running trace_pearsons.py --------\n",
      "Compare chromatin trace tables by computing pairwise distances.\n",
      "\n",
      "Analyzing 4 trace files...\n",
      "Processing FOV_26_4DNFI2HV38L6.csv\n",
      "Processing FOV_27_4DNFI2HV38L6.csv\n",
      "Processing FOV_29_4DNFI2HV38L6.csv\n",
      "Processing FOV_30_4DNFI2HV38L6.csv\n",
      "$ Saved correlation matrix as /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/output/trace_correlation_matrix.png\n",
      "$ Saved correlation matrix data in NPY format: /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/output/trace_correlation_matrix.npy\n"
     ]
    },
    {
     "data": {
      "image/png": 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t2lTlOZWhu1GjRnbw4MH2s88+s/n5+TY3N9fm5uZaa6uH7sovQf71r3/ZQCBgBwwYYBcuXGgXLVpkFy1aZL/77jsbiUTsww8/bAOBgB0/fny1L4Mcx7G33XabNcbYiRMn2kgkssc/N2urhu4VK1bYu+66ywaDQTt58uTon9vWrVujXxr8+OOPuw3dS5Yssffff7/94osvqnxm33rrLdu+fXubnJxs33nnnehcN2zYYKdNm2aTk5Nthw4d7Lx586Ln++2339ry8vJo6JZkmzZtai+99FK7atUqu3PnzugYuwvdlV9CtGrVyqanp9s333zTOo5jI5GI/fe//22TkpJs9+7d7Zo1a37R5xsA4E+EbgD7jVhCd1ZWll20aFGN/+B1HGe397/88ss2HA7bMWPGRIOH4zj22WeftaFQyB5yyCF2/fr1NVYCK4OI4zj26aeftqFQyI4YMcIWFBRUq1j++9//jobSX1Lt3l3o3tO5TZ482QaDQXvRRRdVCU2VoTsQCNgHH3ywymOO49g33njDJiUl2S5dutitW7dGH6spdDuOY1988UUbDoftkCFD7I4dO6rN7/nnn7fhcNiOGjUqpmp3Xl6ePfPMM20wGLTGGJuZmWkPO+wwO27cOPuPf/zDLl26tMbX2VvoNsbYv/zlL1XOt6yszI4dO7bGn6HKMNeqVSvbsGFDu2rVqujzfknorgzEP1daWmrHjRtng8GgfeWVV6o8pzJ0N2nSxC5durTG5/88dFeaNWuWDQaDdvjw4TX+zK1bt862bNnSNm3a1H733XdVHtu6davt2rWrTUtLs59++mlMQfKnoXvlypX2yy+/tBkZGXbEiBG2pKTEOo5j33zzTZuQkGAnTpxoy8rKdhu69/Rz/dJLL9lQKGTPOeecKue7bNkym5qaag899NAaq80/Dd39+/e3ubm5NX6uawrdlY89//zzNjk52Xbs2NGuXLnSLliwwDZr1szWr1/fvvvuuwRuADjA+H+zWgCIw5FHHqkuXbrUeA1yZeMla62Ki4uVn5+vvLw85efnq2PHjkpLS9OSJUtUVFQkqaKx0htvvKFIJKJx48apadOmNV5XXHmNbCQS0euvvy5rrcaOHauUlJQqxxtjNHToUDVs2FDz5s1TQUHBPjvvPZ1b586dVa9ePS1evFglJSXVnpuVlaVTTjml2lyPOeYYdejQQatWrdKyZcv2OL61VtOmTVMkEtHYsWOrXOta+XoDBw5Udna2FixYoLy8vL2eU2pqqv71r3/pwQcfVK9evRSJRPTll1/qmWee0eWXX65+/frpmmuuqda9fG/q16+v4cOHV7k2OxgM6je/+Y0kqWfPnlV+howxysrKUtu2bVVQUKCNGzfGNd5P/fznpbCwUHl5ecrLy1NRUVH0PBctWlTj8/v27av27dvv022/mjVrpuHDh2vTpk164403oo3FrLWaPXu2li9frt69e6t79+6/aNyOHTuqd+/e+vjjj7Vq1So5jqMXX3xRoVBIp5122h5fc2+f2fT09Cqf2XgYY3TqqafW2C9gb8877bTTdPHFF2vFihW68sordeWVV2rz5s264YYbNHDgwFrflg0AULfQSA3AAaVDhw673TbMWqtly5bp6aef1ty5c/Xjjz9GQ2gkElFubq4yMjJUVlYmSSopKdGKFSsUCoV0+OGH7/Uf0sXFxVq+fLmstXr++ef17rvvRsf96TGFhYUKBALKz8+vto3SL+U4jpYuXaqnn35a8+bN048//qjS0lJJUnl5uQoKCrR9+/Ya94xu3ry5srOzq51fvXr11L59ey1evFirVq1Snz59djt+SUmJli1bJmutXn75ZX300UeSqp57SUmJdu7cqZKSEuXm5qpBgwZ7PCdjjNLT03XllVfq/PPP15o1a7RkyRJ99tlneu+99/T111/rH//4h3JycvTkk0/GvGVXWlqasrOzaxxLqugM//OfIWOM0tLS5DhOXHun16S0tFSzZs3SCy+8oMWLF2v79u3RjvM7d+6UVNEMriYdO3bc5034AoGAxowZo2eeeUYvvPCCLrjgAqWmpqq8vFzPPfecHMfRmDFjfvF+1wkJCTrzzDM1c+ZMvfnmmxo1apRmzZqlHj166JBDDtnjc3/+md24cWP057ryM7tjx47oZzYelbsk/JKAHA6HdfPNN2vhwoWaPn26JGnkyJG6/PLLa32bOgBA3UPoBnBA2V33aGutPvroI51zzjn64Ycf1LJlS7Vp00ZpaWkKBoMqLi5WTk5Ole22SktLVVxcXCWQ7UlJSYmKi4vlOI4+/PDD3f7jOzExUZmZmftsz2RrrWbNmqXzzjtPmzZtUqtWrdS6dWulpaUpEAiosLBQW7ZskeM4NY6ZnJy82+7R6enpstbutSpfWlqqwsLC6Pu8uy8+QqGQMjMzYz63ykCUmpqqbt26qWvXrjrzzDOVm5urv/71r7rvvvs0bdo0LViwQAMGDIjpNQOBQI1/NpVj7e69qHz8p1tXxau8vFwPPPCA7rvvPknSwQcfrPbt20c7xP/www/aunVrjV+OSLv/+f41jDE67LDDdMQRR+iTTz7RggULdMwxx2jFihWaPXu2WrVqpWHDhv3i6q0xRkOGDFHTpk316quvKhwOa9OmTZo4caJSUlJ2+37aXd3IzznnHG3YsEEtWrTY7Wf2l36Wfun7aYxRgwYNdMQRR2jOnDkKhUI688wzlZqa+oteDwDgb4RuAAeU3QWDkpIS3XXXXVq/fr1uvvlmXXbZZapfv75CoZCMMVq3bp169epV5TnhcFhJSUnRbbD2JhwOKxwOKzExUS+99JK6d+++x3nurdIbq8LCQt15553avHmz7rrrLl144YXKyMiIhseVK1fqiCOO2G0wKS4uVllZWY1hMz8/X8aYvYaTUCikxMREhcNhPffcc9Xey58yxqh+/fpxnGHV50oVS8SvvfZavfrqq1qyZIkWLVoUc+j20jfffKMHH3xQ6enp+ve//61+/fopJSUl+iXAk08+qQsuuGC3z6+tZcvJyckaO3asPvjgAz3//PMaMGCAXnnlFW3fvl3jxo2rtjIgXs2aNdPQoUP1wgsv6Pvvv1dmZqZOPPHEPZ5PcXGx7rrrLm3YsEG33HKLLr30UmVmZkY/s2vXrt3jz1ltqvyi6/HHH1e9evVUUlKi+++/X/369VOLFi1YXg4ABxiu6QYASdu3b9dXX32lpk2b6vLLL1fjxo2VkJAQvb72+++/r1bNTUpK0sEHH6zy8nItXLhwr9W0lJQUtW3bVmVlZVq3bp0aNWqk7OzsGm+NGjXaZ8tQc3JytHTpUrVq1UqXXHKJGjVqpISEhOg//NesWbPHJdEbNmxQTk5OtfMrLCzUypUrFQqFdNBBB+1xDklJSTrooINUXl6uNWvW7PXcd1cJj0dKSoqysrIkVQS0us5aqy+//FK5ubk67rjjdNxxxyk9PT0aIqWKUF6b4+/uZ9gYo+OPP16tW7fW9OnTtWTJEr300kuqV6+eRo8eXeX6918iGAzqzDPPlOM42rBhg/r376+2bdvu8Tk//cxedtllys7O3utntvJcKs+3NlhrtW7dOk2cOFElJSV68MEHNW7cOC1evFg333yzL34WAQD7FqEbAHbZ3fLqsrIyPfvss9X+sRwIBHTSSScpGAzqmWee0ebNm6s9/6dBJhgM6uSTT5YxRk888YS2b99e43iVz9mXy8t3t0S3tLRUkydPjl4HW5MtW7bozTffrPaaH330kb799lu1bdtWnTp12uMcAoGARo4cqWAwqKeeekpbtmz5VedurdXKlSuVl5e329fZsGGDVq1apUAgoHbt2u3x9eqKn577T8/LWqsffvhBb7zxxj4fMzk5WaFQSPn5+btdti5JjRs31imnnKKNGzfqlltu0bJly3TkkUfu9brrWPXt21fXXXedJkyYoKuuumq3y/gr7ennpKysTJMnT66xMWDlapOioqJaCcBFRUX6/e9/r6VLl+rcc8/V+PHjdffdd+uwww7T1KlT9eSTT/6qSxAAAP5D6AYASRkZGerUqZM2btyohx9+WDk5OSotLdXGjRv1pz/9SdOmTasWAowxGjFihPr3769Fixbpkksu0VdffRVtBvbjjz/q9ddf14wZM6LHn3HGGerXr5/mzp2rCRMm6Msvv1RBQYFKS0uVn5+v7777TlOmTNGUKVP22bk1bNhQ7du317p16/TPf/5T27ZtU0lJiTZs2KB7771XM2fO3GNl2Vqr+++/X2+88Yby8/NVWFiouXPn6vrrr1dpaakuvPDCmJqenXTSSRo8eLA+//xzXXTRRVq4cKHy8/Oj575mzRq9+OKLevrpp2M6r0cffVQnnHCCnnjiCa1atUo7d+5UWVmZ8vLy9Pnnn+uKK67Q+vXr1a1bN/Xr1y+u98wLxhh16dJF6enpmj59umbOnKmdO3eqqKhIS5Ys0eWXX67t27fv83Fbtmyphg0b6quvvtLUqVO1dOlSLV++XOvXr68SagOBgEaPHq169erprbfeUiQS0ZgxY5SUlLRP5pGenq777rtPjzzySEwdvuvXr6+OHTtqw4YN1T6zDzzwgN58880ag3vDhg3VsmVLff/993rqqae0ePFiLV++XGvXrv3VYdhxHP373//WSy+9pF69eun2229XQkKCmjZtqgcffFBpaWm66667NH/+/FqrtAMA6h5CNwCootp30003qX79+vrDH/6g3r17q1+/furdu7f+7//+L/rYz2VkZOif//yn+vXrpzfffFPHHHOM+vbtq379+unII4/U6NGj9fXXX0ePr1+/vh577DENGjRI06ZN0zHHHKM+ffqof//+6tOnj4488kiNHz9+n/6jPDU1VTfddJPS0tJ0++23q3fv3urfv7969+6txx9/XL///e/32Aiua9eu6tWrl8aOHas+ffqob9++OuGEE7Rs2TKdffbZuvjii2NaXpyenq5//vOfOvbYYzV9+nQNGjSoyrkfccQRGjt2rD7++OOYzj01NVULFy7UhAkTdNRRR6lPnz7q16+f+vTpo0GDBmnGjBnq1q2b/vnPf6pRo0ZxvWde6d69uy644AJt27ZNZ5xxhvr27au+fftq4MCB2rRpk6666qp9PmbTpk11ySWXqLy8XBdddJF69eqlHj166Morr6xW+e7evbv69Okja61atWqlY4891rPrk3/6mb333nurfGYfeugh3XTTTTU25UtLS9NVV12llJQU3XjjjTriiCPUo0cPjRo16ld1nrfWau7cubr77ruVmZmpv/71r2rcuHF0W7N+/frp5ptv1rZt23TdddfVuDIGALB/opEagP1GSkqKrr32WhUWFqp58+ZVHuvdu7duu+02HX300TU+t/Ka1WnTpunJJ5/U0qVLZYzRCSecoHHjxqlz584qLS1VKBSqUtkzxqhDhw567bXX9Prrr+s///mP1q1bJ2OMfvOb36hnz5469dRTqxzfrl07vfzyy5o+fbqmT5+ulStXqrS0VI0aNdJhhx2m7t2777WJ1O4ce+yxysjIqNJAyhijkSNHqlGjRnrqqae0bNkyBYNBnXTSSRo/frwOPvhgFRUVKSUlpcq2T82aNdMtt9yiFi1aaOTIkZoyZYqmT5+uzZs3a8CAARo5cmSNHZlbtmypW265RW3atKkSxo0xatOmjaZOnar//Oc/euedd7RixQqVlJQoKytLPXr0ULdu3XTCCSfEdO7XXXedhg4dqrlz5+rLL7/UunXrVFhYqAYNGqhnz546+uijdcIJJ0SDT6WsrCz97ne/U1ZWVpUKf3p6um688UYlJSUpISGh2ng9evTQ7bffrsMPP7zaY4FAQGeddZZ69eqlgw8+OHp/cnKyrrnmGkUikSrvUzAY1IUXXqjNmzdXaUIWDod1zz33qEePHnr11Ve1ceNGZWRk6PTTT9f48eOjncsr9wyvNGDAAN122217rOgfcsghuu2229SzZ88q70cwGNSNN96oYcOGacGCBdq6dascx1GHDh2qfZmSmJiobt26acaMGTrppJPUpEmT3Y63O2lpabruuutUWloaU8M8Y4xOPvlktW7dWkcddVSV+0844YS9fmYrGx7+9HnnnHOOevbsqXnz5mnTpk0qLy9XkyZNFA6Ho4/369dPrVq12u28TjrpJLVs2VJdu3aVVBG6N23apMsuu0w9evTQUUcdVeV9DgQCmjBhgsLhsLZu3ar169f/6gZ0AAB/MJavWQEgqvL658plpsFgMFqpive5xpjo8/d2vLVWxhgFAgEFAoFaqR7+mnOrfH4kEpHjONFttX7pPPflubv9Prqhpvdaqr3u5LHavn27jjnmGK1atUrvvfdelRDslV/7cw0AQG2j0g0AP1EZlH9J5/B4n/trxvolfu14xph90lV8X8yltl6rrtiX7/W+UPklwMsvv6ylS5dqyJAh6tGjh9fTkrR//vkDAPYvdef/0QEAQJ2zfv16PfDAA9q0aZNmzJihlJQUXXfddVUuRQAA7FlJSYnWr1+vTZs2qaCgQJ07d1aLFi32+JzKnTheeuklrV69Wp07d9bpp5+uhg0bsprHZ2ikBgAAdis3N1evvPKK3nvvPbVu3Vp/+9vfYuouDgD4n48//lhjx47V7373O5166ql655139vqcH3/8UaNHj9Z///tfHXTQQXrppZd03nnnKS8vz4UZY1+i0g0AAHarQ4cO+uyzz2StVb169ZSWlkbgBoA49enTR2+//baKi4s1YMCAve5eYK3VM888o7y8PL366qvKysrSySefrMGDB+vNN9/UmDFj+LvYR6h0AwCA3QqHw2rSpImaNm2q9PR0/pEHAL9AUlKS6tevr4SEhJj+Hi0rK9OMGTN0zDHHKCsrS8YYtWjRQocffrimT5/OloM+Q6Ube1ReXq6ysjIa1AAAABwAIpGIwuFwnWrmuDuRSESRSMSz8a21stZW2V7x1+7uUWnnzp1av369Ro4cGX2tYDCotm3b6sMPP1RZWRm9NXyk7n+a4Kn33ntPt99+h8IJYa+nggMUNTV4h58+AAee0tIS3XjjjTr11FO9nspevfPOO/rjHx/w7K9r+5OtCisdc8wxuv322391waq8vFzFxcWqV69e9D5jjFJSUlRcXKzy8nJCt48QurFHO3fu1GdfL5dpfJhkuBoB7golpiitWTuJ5azwQDAUVMAHlR7snzKyUhRO4OcPLrOO1sx42jeNun788UfN/eJbBRofIveTt5Wz6UtdffFYDR48OHpv06ZNq1S+f6lgMKiEhASVlJT8b0RrVVJSonA4zCpUn+Fvc+xRMBiUgkky6S1l9sFfIEA8ginpSm55GNeQwhPBcFihxASvp4EDVP3m6UpKYZUZ3GWdiDbMfcMXS8ujwikV/051+d8K1jrS1uXq0aOHhg8fvs9fPyUlRdnZ2Vq3bp2stTLGyHEc/fDDD2rWrJkSEvj/Jz8hRQEAAADwKVNRGDLu3owJal9W1621KisrU2lpqay1SkxMVP/+/TVnzhwVFBTIWqtt27ZpwYIFGjRoEAUJnyF0AwAAAPCnXdnTGOPqTUZxZe7CwkLNnz9fCxYsUFFRkb777jvNnTtXq1evjnYiv+OOO3TJJZeorKxMknT++edr+/btuvXWW/Xuu+/qhhtuUL169XT66afv4zcRtY3QDQAAAMC3jAlU9H9x8Wbi7HW0adMm3XPPPfrTn/6kdu3aacGCBbr11lv19ttvR49JS0tTRkZGNNi3b99ezz33nIqLi/Xggw8qIyNDzz77rBo3bkyl22d8dMEGAAAAAPyP0S8Lwb+WlaN4St1t2rTRtGnT9njMDTfcIEnRQG2MUY8ePfTPf/4zel33Tx+HfxC6AQAAAPiYNyE0nlGjy9L3cszu7iNo+xuhGwAAAIA/mV2N1FwO3qZyqTkQA0I3AAAAAF9zf8sw6+p48DdCNwAAAADfqrie24NKNxAjQjcAAAAAn/KokRqFbsSBLcMAAAAAAKglVLoBAAAA+JIxkgkEXW9qZqxopIaYEboBAAAA+JMxu1aYu9xIrWKHcCAmhG4AAAAAvmVMwIPGZgEq3YgZoRsAAACATxkZDxqpSY7L48HPaKQGAAAAAEAtodINAAAAwJ+MqWik5vY+3TKujwn/InQDAAAA8DX3G6lZMjdiRugGAAAA4EtGlYGbSjfqLkI3AAAAAH8ykkzA9UZqlkI34kAjNQAAAAA+RfRF3UelGwAAAIBvmUBAri8vN+zTjdgRugEAAAD4muuN1Kx1dTz4G6EbAAAAgE8ZT6rOhqt0EQdCNwAAAABfqmhcbtxvpCZHXE+OWPEVDQAAAAAAtYRKNwAAAACfMjKBoLzYp5s+aogVoRsAAACAr7neSE1WLC9HrAjdAAAAAPzJVFSdvah0A7EidAMAAADwKSMFAu43UmPHMMSBRmoAAAAAEC+K3YgRlW4AAAAA/mSMTNCDRmrW/SXt8C9CNwAAAABf86SRGpkbMSJ0AwAAAPAlI+26ntvlSreh0o3YEboBAAAA+JSpWGLudiM1x9Xh4HM0UgMAAADgT14VmylyIw5UugEAAAD4lJExQcnla7orlrWTvBEbQjcAAAAA/zIeNFKzBG7EjtANAAAAwJeMMQqYgOuVbgXcb94G/yJ0AwAAAPAvDxqp0UkN8aCRGgAAAADEw1DnRuyodAMAAADwKa8aqRn3l7TDtwjdAAAAAPzLk0Zq1tXx4G+EbgAAAAD+FA3cLle6qXIjDoRuAAAAAD5lJBNwvZFaRR81gjdiQyM1AAAAAABqCZVuAAAAAL5kKrcLc7nSbQKikRpiRugGAAAA4F/GeNBIjcCN2BG6AQAAAPhWRaXb5UZqAUI3YkfoBgAAAOBTZlel2+VGapYO5ogdjdQAAAAAIB7kbcSBSjcAAAAAfzJGxgTdX17+k1+BvSF0AwAAAPAv4/5SbxqpIR6EbgAAAAC+ZLQrcHvRSI3cjRgRugEAAAD4kzGSCcgEXG6k5lhXx4O/0UgNAAAAgH95UXE2xqOB4UdUugEAAAD4k5eN1MjciBGhGwAAAICvud9IzdXh4HOEbgAAAAC+ZQIB9yvdJiBDqRsxInQDAAAA8KmKa6uNcbmRmqHUjdjRSA0AAACAf3lScKbKjdhR6QYAAADgS8bsqnK7XOk2Abm+pB3+RegGAAAA4GOGRmqo01heDgAAAMC3vCg4ux3y4W9UugEAAAD4k9m1xDzgcqXbIXgjdlS6AQAAAPiXF9mXwI04UOkGAAAA4EtGuyrOLmdgIjfiQegGAAAA4Gs0UkNdxvJyAAAAAP5kaKSGuo9KNwAAAACfMvJsyzByN2JEpRsAAACAfxF+UcdR6QYAAADgS0ZSwItGagFD1kfMCN0+Znd1cKj838plNT9fXhPrcQAAAIAf0UgNdRmh26estfrqq6/0+uuva9GiRSorK9Ohhx6qCy64QG3bto3+xWOt1datW/X000/rww8/lOM46tChg2666SY1atTI47MAAAAAfgUjmYA8qXSzVzdiRej2Kcdx9Pjjj8txHJ177rkKh8N67LHHdOaZZ2ratGlq3ry5rLXavn27zjvvPCUnJ+uCCy5QQkKCPvroI+3cuZPQDQAAgP2AR43UgBgRun0qEAjorrvuUnp6uoLBoKy16tatm/r06aOZM2fq3HPPlSQ98cQTKigo0OTJk5WRkSFJGjZsmIczBwAAAPYhTwrOVLkRO0K3TxljVL9+/Sq/r1evnsLhsHbs2CFJKioq0iuvvKLhw4dr1qxZWrJkiVq0aKETTjhBjRs39mrqAAAAwL5hdlW5XV9eTuxG7NgybD9hrdXMmTOVl5enww8/XJK0Y8cOrV27VlOmTNHTTz8tY4yeffZZnXbaafr++++jjdV++hqFhYXavn179LZz504vTgcAAACImdkVvt26AfGg0r0fsNZq8eLFuv322zV69GgdfvjhMsaovLxcRUVFSklJ0ZNPPqkGDRroggsu0JAhQ/Tkk0/qtttuq/Y6999/v1599dXoffn5+dXCOQAAAFAXGFX0M3M9BhO8EQdCt89Za7V27VpdfPHF6tq1q+6++26Fw2FJUigUUlJSkvr27asGDRrIGKPGjRvr8MMP1/z582WtrfJNnTFGF110kU499dTofbNnz9bEW//o+nkBAAAAsTAeNFKTFevLETNCt49Za/Xjjz/q4osvVmpqqv7xj3+ofv360b900tLS1KxZMwUC/7uKYE9LYowxatmypVq2bBm9b82aNeJvFAAAAAD4Zbim28dyc3N1xRVXqKCgQI899piaNGkiSdHl4PXq1dOQIUM0f/585eXlyVqrnJwcLVy4UEcccQTXowAAAMD3ovt0u3gzgcrfAHtHpdunHMfRXXfdpRkzZuiKK67Qf//73+hjhxxyiHr27ClJuvTSS/X+++/rwgsv1NFHH63//Oc/qlevns4//3yvpg4AAADsG6biF/bpRl1G6Pax1q1b65xzztGOHTu0YMGC6P3169dXz549ZYxR69at9fLLL+vll1/WihUrdNxxx+nUU09V06ZNqXQDAADA96KVbjfHNIZeaogZodunAoGArrnmmr0eZ4xRq1atdN1119X+pAAAAAAXmV3rvV2vdBO4EQeu6QYAAADgXwRg1HFUugEAAAD4k5ECHmzUXdFIDYgNoRsAAACAr9FIDXUZoRsAAACALxmpoqGZ24VnIxqpIWaEbgAAAAD+5UUAJnAjDjRSAwAAAOBPnoVfUjdiR+gGAAAA4FtuX89dMaZE8EasWF4OAAAAwNdopIa6jNANAAAAwKeMTMCLa7rd36YM/kXoBgAAAOBLFdnXuL/EnMyNOHBNNwAAAAAAtYRKNwAAAADfMgG5XnY2AerciB2hGwAAAICPub+83FqxvhwxI3QDAAAA8C8j9wOwB9uUwb8I3QAAAAD8yVRsF+ZFIzUgVjRSAwAAAACgllDpBgAAAOBLRpIXPc08qa7DtwjdAAAAAHzMo0ZqQIwI3QAAAAB8ylT0NKORGuowQjcAAAAAfzKSaKSGOo5GagAAAAAA1BIq3QAAAAB8ywTkeuXZBAzVbsSM0A0AAADAx2ikhrqN0A0AAADAl4ypqHS73tfMGBlK3YgRoRsAAACAT1WEXxqpoS6jkRoAAAAAALWE0A0AAADAl3btGOb+uIZGaogdy8sBAAAA+BqN1FCXEboBAAAA+JP5yc3tcYEYEboBAAAA+JYxXnQvd3k8+BrXdAMAAADwMW8SMLkbsaLSDQAAAMCfjBQIyPUEbAI0UkPsCN0AAAAAfI1GaqjLCN0AAAAAfMnIo6qzF/uUwbcI3QAAAAB8ze1Kt4wHY8K3CN0AAAAAfMwf4ddaq0gkovLycgWDQYVCob0Gd2utysrK5DhOzM9B3UP3cgAAAAA+ZTxZ6R1v8LXWat68eTr77LM1aNAgnX322fr4449l93BxeHFxsZ544gmNHDlSgwYN0mmnnaaXX35ZZWVlv3b6cBmhGwAAAICvGWNcvcVr5cqVOvfcc9WuXTs99NBD6tKli84//3wtX768xuOttXr++ed122236YwzztAjjzyiQYMG6corr9S77767x7COuofQDQAAAMCfTGXglsu32IO3tVbPPfecMjIydNNNN+mwww7TDTfcoOzsbE2ePHm3Afqdd95Rnz59dM455+iQQw7RJZdcovbt2+vdd9/dV+8eXMI13QAAAAB8ySj+ELzPBo5RWVmZPv74Yx1xxBFKS0uTMUYpKSnq3bu3PvroI5WXlyscDld7XqNGjbRmzZroNeClpaUqKipSo0aN9uGJwA2EbgAAAAD+5VVjMSNt3rxZq1atit6Vmpqq7OzsKl8ClJSUaNOmTRo0aFCV+5s2baotW7aoqKioxtB9xRVX6JJLLtFNN92knj17avbs2crKytI555xTu+eFfY7QDQAAAMCfKpeWB1zfqFtG0oMPPqjHH388eu+xxx6rv/71rwoGg9H7HMdRWVmZEhIS/vdsY5SQkKBIJKJIJFLjCMnJycrKytK8efO0ceNGrVy5Ut27d6/yOvAHQjcAAAAAxM3opptu0plnnhm9JykpSYFA1bZZoVBI9erVU35+vqy1MsbIWquCggIlJSXVGKLLysp0ww03yFqr6dOnKyMjQ5s3b9YZZ5yhe++9V3/729/YOsxHCN0AAAAAfMlIChj3tw2zuwbMzMxU06ZN93hsUlKS2rZtqxUrVkT327bWasWKFWrTpo2SkpKqPaegoEBfffWVLrvsMmVmZsoYo8aNG0evAy8rK1NiYmKtnBv2PbqXAwAAAPCtykZq7t5i76UWCAQ0YsQIffLJJ/ruu+9krdW6des0Z84cjRgxQoFAQNZarV+/XmvWrJG1VsnJyWrcuLG+/PJLlZSURCvjixcvVvPmzRUKUTv1E/60AAAAAPiTif7i0dgxHGaMRo4cqTfffFPjxo3T0UcfrY8//lhdu3bVaaedFl1ufscdd+j777/XG2+8oaSkJE2cOFHXXnutxo0bp44dO+qLL77QqlWr9MQTT1Rbwo66jdANAAAAwJeMpGBAruduG2fjtrS0ND3++OOaOXOmVq1apSuuuELHHnusMjIyoseMGDFCO3bsUDAYlDFGJ510kjp16qQPP/xQ27Zt02mnnaZjjjlGbdq04XpunyF0AwAAAPA110Ooje9wY4wyMjJ0+umnV7nvp/89YsSIKs8JBALq1KmTOnbsWO14+AuhGwAAAIAv/e96bvcH/iVj7ik47+4xwrb/EboBAAAA+FbAuB9MbRyN1ACuwAcAAADgW4b4izqOSjcAAAAAXzIyCnjWSI2wj9gQugEAAAD4Wl1vpIYDG6EbAAAAgC8ZIwU8aKRmvWjeBt8idAMAAADwLeNRIzUgVjRSAwAAAOBj7idgruhGPKh0AwAAAPAlY6RgQJ4sLyd1I1aEbgAAAAC+ZeRBIzUCN+JA6AYAAADgS0bGu0Zq7g4JHyN0AwAAAPAtTxqpuToa/I5GagAAAAB8qSJre9BIzVRU2YFYUOkGAAAA4FsBGqmhjiN0AwAAAPAtLxqpsbwc8SB0AwAAAPAlY6SACbjfvTzA4nLEjtANAAAAwKcqlnm7HbqJ3IgHjdQAAAAA+JYX8dcYuX8hOXyLSjcAAAAAXzKSAgH26UbdRugGAAAA4Fs0UkNdR+gGAAAA4EsVjdTcr3QbGqkhDoRuAAAAAP7lQSM1u2tcIBY0UgMAAADgW17UnOmhhnhQ6QYAAADgS8ZIgYD7IZhGaogHoRtAHWdl6VYCAAD2gEZqqMsI3dirUHI9ZbTtJmOCXk8FBxgnUqbcNYv5PzZ4IrVRc6U1aeX1NHCASk0MqV5K2Otp4ABjnYBCQX9dfWpkFJBx/5pZY1hjjpgRurFXgWBYSRmNZAL8uMBdpTt3aMf3y7yeBg5QSWkZXk8BB7BwyCgpzJfdcJcTqegE7jfGg0ZqRvRRQ+z89VUWAAAAAPyEF+HXh99NwEOULgEAAAD4UkUjNff36aaRGuJB6AYAAADgazRSQ11G6AYAAADgS0ZGQeN+pdsEDBd1I2aEbgAAAAD+5UEjNSsyN2JH6AYAAADgW0buX19NIzXEg9ANAAAAwJeMkYIB90OwMV5EffgVoRsAAACAr9FIDXUZoRsAAACALxlJAQ8aqQVopIY4ELoBAAAA+JPZtVe3y6nbEZkbsSN0AwAAAPAlIxqpoe4jdAMAAADwrUBg13JvN1n3l7TDvwJeTwAAAAAAgP0VlW4AAAAAvmSMUdCDRmpyu7IOXyN0AwAAAPAv4/6WYURuxIPl5QAAAAB8y4sAbIw8aN8Gv6LSDQAAAMCXvNqn23qxpB2+RegGAAAA4F8eLC+3ro4GvyN0AwAAAPAlY7ypdNNHDfEgdAMAAADwKRMN3m5yWFuOOBC6AQAAAPiW8aClmTHimm7EjNANAAAAwJcqqtxSwO313pbEjdixZRgAAAAAALWESjcAAAAAXzKqqHK73tgs4MWidvgVoRsAAACAbxm5v2WYif4C7B3LywEAAAD4k1cNzQjciAOVbgAAAAC+ZOTNPt3GsLgcsSN0AwAAAPAv4/7ycuvqaPA7QjcAAAAAXzLGKOhBpVsBD8aEbxG6AQAAAPiaJ43UgBgRugEAAAD4ljHuh2Cq3IgHoRsAAACAL1U2Ugu4vVG3ZZ9uxI4twwAAAAAAqCVUugEAAAD4kjG7Kt0eDMwSc8SK0A0AAADAt4xopIa6jeXlAAAAAHzKgy5qQJyodAMAAADwJSMp4EFLswBryxEHQjcAAAAAX3N7ebkVBXbEjtANAAAAwLcCxoNrZknciAOhGwAAAIBvVTRSc39MIFY0UgMAAADgS8bImwTs1bjwJSrdAAAAAHwr4MGe2QFjPGjfBr8idAMAAADwNS8aqQGxInQDAAAA8CWjiqqzF43UqHMjVoRuAAAAAL5V0UjN3QjM0nLEg0ZqAAAAAHzKuB64gXhR6QYAAADgS8b8b4m5myxBH3Gg0g0AAAAAcSByIx5UugEAAAD4UkWV24NKopHr25TBvwjdAAAAAHyropGa17MAdo/l5QAAAAD8y4PAbdgyDHGg0g0AAADAtwLGuF7ppmM64kHoBgAAAOBrhGDUZYRuAAAAAL5kTEXgdjtyB7iQHHEgdAMAAADwrYr863YAdj/ow78I3QAAAAB8qbLg7Hql2+Xx4G+EbgAAAAC+FdCu5d4usnQvRxz4kgYAAAAAgFpCpRsAAACAPxnjUSM16tyIHaEbAAAAgC8ZedVIDYgdy8sBAAAA+JcHedt4NC78iUo3AAAAAF8ykoLGuL9ldoAtwxA7QjcAAAAAX3N7eTmBG/EgdAMAAADwLS8aqVWEfKI3YkPoBgAAAOBbXjVSI3IjVoRuAAAAAL5kzK6by+PSjRrxIHQDAAAA8K2ApIDLqdt6EPThX3xJAwAAAABALaHSDQAAAMCXjIwnjdQC9FFDHAjdAAAAAHzLm0ZqJG7EjuXlAAAAAPzLg/xL5EY8qHQDAAAA8CVjpIAxrjdSU8D9Je3wL0K3j1lrVVhYqK1btyoSiSgrK0upqanR5TXWWpWVlclaW+25oVBIgUDAkz0NAQAAgH3Fq326gVgRun3KcRw9/vjjeuaZZ1RYWKhAIKBgMKhrr71WZ5xxhoLBoHbu3KnrrrtO69atiz7PWqvS0lJddtllOv300z08AwAAAODXqQjcHuzTvWt/cCAWhG4fKy0t1S233KJevXopEAho8uTJuvbaa9WuXTv17NlTSUlJuvTSS1VYWBh9zuzZs3X//feradOmHs4cAAAA2DcqgzdQVxG6fcoYo8suu6xii4Rdf8uMGzdOkyZN0ty5c9WzZ0+FQiEddthh0edEIhE99thj6t69uw477DCW4QAAAMD3vKh0869oxIPQ7VM/DduV8vLyVFhYqJSUlBqfs379es2aNUsTJ07c7TEAAACAnxgZBVwuJlljRCs1xIrQvZ8oKyvTI488osTERA0cOLBaILfWaubMmSovL9fw4cNrrHJba/Xdd99p06ZN0fu+/fbbWp87AAAAAOyvCN37Acdx9MILL+jJJ5/U/fffr4MOOqjaMSUlJXrxxRd19NFHq02bNjW+jrVWzz33nF5//fXofbm5ubI2sZZmDgAAAPxyxlRUub1opOYX1lo5jlPjjkaVuxlx2WntInT7nOM4mj59un7/+99r4sSJGjNmTI0fmm+++UYLFy7U448/rmAwWONrGWN0ww036Lrrrove99Zbb+m8a++qtfkDAAAAv5b7obHuh1RrrdavX6+XX35ZixYtUkFBQbVjRo4cqTFjxngwuwMLodvHrLX66KOPdOWVV+rcc8/VVVddpVCo+h+ptVavvfaasrOz1b9//93+pWSMUVJSUpX7fv57AAAAoK4w8mb7Lj9sGbZhwwadeuqpWrZsmdq3b6/U1NRqx+zcudODmR14CN0+Za3VokWLdPHFF+v444/X9ddfr0AgoPLy8uie3ZV27NihadOm6aSTTlL9+vU9nDUAAACwbxnj/nJvW8cDtyS9/fbbWrlypZ599lkNGTJEiYmJLCP3CKHbpxzH0R/+8AetX79eK1as0Pjx46OPnXrqqRo7dqyMMbLWasGCBdq8ebNOP/10PmgAAADYf3iwXZhfbNiwQR07dtTQoUOVnJzs9XQOaIRunwoEArrxxht18cUXV3vs543S2rdvr5deekmHHHIIoRsAAAD7DaNdW+m6PK4Xzdvi1blzZ73yyisqKioidHuM0O1Txhj16tUrpuPatGmz247lAAAAgN9RWKru2GOP1dSpU/V///d/uuKKK5Senl7tfaJ7uTsI3QAAAAB8K+DBEnM/RNQNGzZow4YNeueddzRlyhQ1b95cgUCgyjGjRo3SBRdc4NEMDxyEbgAAAAC+ZCQZVezV7SZr6v7F5IFAQE2bNlWjRo12e0w4HHZxRgcuQjcAAAAA7Gc6dOigF198cY/H/LzyjdpB6AYAAADgW140NQuoosIeD8dxtGXLFm3fvl2ZmZnKzs7ea+i11qq4uFgbN25UWVmZMjIy1KhRoyrbA+92joGAAoGArLWy1ioSiVS5n+u43UPoBgAAAOBTFcHR9QAZ53jl5eV6/PHH9cgjjyghIUElJSW66KKLNGHChN0u8bbWatGiRbrtttv0448/KhQKqaSkRJMmTVK/fv1iGresrEwff/yxXn75ZS1btkxlZWVq3ry5hg0bplNOOaXG5mrY9wjdAAAAAHzJmF2N1FzOjfE2b5s3b57uuece/f3vf9fQoUP1wQcf6LLLLlO3bt109NFHVwu+1lr98MMPuvjii3XGGWfovPPOU3JystasWaPMzMyYxiwvL9df/vIX3XfffapXr57atGmjcDiszz//XK+//rpeeeUVPfHEE3u85hv7Bov4AQAAAPhWZfB28xZPyLfWasqUKerSpYuGDx+u9PR0HXfccerRo4emTJkia22Nz3v22WeVkZGhSy+9VCkpKQqFQuratatatGgR07iLFi3Sn/70J40aNUoff/yxZs+erVmzZumTTz7RpEmTNHfuXD322GO7HR/7DqEbAAAAAGpJcXGxvvrqK/Xo0UMJCQmSpFAopMMOO0yLFi1SWVlZteeUlZXpvffeU4sWLXT99ddr6NChOvHEE/XEE0+otLQ0pnHnzJmjrKws3XPPPWrTpo0SEhIUCoXUoEEDnXfeeTrzzDM1Y8YMlZeX79PzRXUsLwcAAADgS0YeNVLbVe2eO3dulaZmrVq1Ur9+/ao0SCsrK9O2bdvUqFGjKsvIs7KylJeXp6KiIiUmJlZ5/aKiIm3atEmfffaZrr32Wl111VWaP3++br75ZiUmJmrMmDF7vRY7Pz9f9evXV1paWrVjA4GAWrRooQULFshxnF/zViAGhG4AAAAAvuZ+M7CK8ebPn68ffvghem/fvn3Vt2/fakfHu4TbWivHcdS+fXtNnDhRqamp6tixoz788EM9/fTTOvPMM6NV893p0KGDJk2apAULFqh///4VszZG1lrl5ORoxowZateunUIhImFt4x0GAAAA4E9xNjTb166++mqdc845/5uOMdW2AQuHw8rMzNS2bdtkrY1+QbB9+3alpqYqKSmp2usmJiYqPT1drVq1UnJysowxCgaD6tSpkz777DMVFRXtNXQPHjxYbdu21dixY3XhhRfq8MMPVzgc1po1a/TMM89o8eLFuvXWW9mr2wWEbgAAAAD+5UH38srxAoHAXivFiYmJ6tq1q77++muVlZUpISFBkUhEX331lbp161ZjeE5KSlK3bt20Zs0aRSIRhUKhaIU6NTV1r4Fbqli+/vTTT+t3v/udHnzwQRUVFUW/FOjQoYMeffRRDRo0iC3DXEDoBgAAAOBbdT0yBgIBjRo1SuPHj9fs2bN19NFH65NPPtGnn36qxx57LLrke/bs2crPz9eJJ56oQCCgs88+O/qcgQMHauXKlXrrrbc0ZsyYGqvjP2eMUefOnTV16lR99913+v7771VWVqbs7Gy1b99emZmZBG6XELoBAAAA+JKRZORBI7U4xzz66KN1xRVX6Nprr1WDBg20bds2XXzxxdFKs7VWzz77rNauXavjjjtOwWBQ/fv31zXXXKOJEyeqQYMGys3NVb9+/XT55ZfHPK4xRklJSerSpYu6dOkS/4linyB0AwAAAPA192N3fEKhkG644QaNGjVKW7ZsUVZWllq3bl1lafpNN92kkpKS6H3hcFjXXHONTj/9dG3atEkZGRlq27atwuFwjRVqa60WLVqk3Nxc9ezZU9ZaLVy4cI9N3Fq3bq2DDjqIinctI3QDAAAA8C0/5MXKRmgHHXSQDjrooBofb9++fbX7g8GgWrdurdatW+91DMdxdPPNN+uTTz7Ru+++q0gkolNPPXWP+3pPnDhRd955Z3wng7gRugEAAAD4mleN1OqSQCCgBx54QHl5eerYsaOstXr77bf3WOlu3ry5izM8cBG6AQAAAMDnjDHq1q1b9PeO46hXr141Lke31qq8vJxl5S5hUzYAAAAAvmQkBUxlQzX3boHK/6jDli1bprPOOkvr16+v9pjjOPr973+vp59+2oOZHXiodAMAAADwNQq21e3YsUOzZ89WYWFhtcestfrss8/2usc49g3eZQAAAAC+5VXeros531qrSCQSXT4uSeXl5SorK6tyzPbt25WTk6O0tDSvpnpAIXQDAAAA8Kddy7xppFYhEolo4sSJWrx4sXbs2KG8vDxdcMEFSklJiR5jrdWWLVu0bt06HXXUUVzX7QJCNwAAAADsJ1JSUpSWlqaysjIZY1SvXj2lpqZGHzfGqHXr1rrtttvUv39/D2d64CB0AwAAAPAlI6OAjOtLvQO7Rq9rgsGg7r77bllr9c033+jWW2/V3//+9ypbgxljFAgEZIyhyu0SQjcAAAAAX3M/dtfNsGqMiTZH69atm1566aUatwyDuwjdAAAAAHyLRmo1CwQCCofDKigo0A8//KAdO3ZEm6tVatGihVq3bk0or2WEbgAAAAD+RSO1GjmOo5kzZ+rOO+/Ut99+q4KCAgWDQVlr5TiOgsGgfvvb3+quu+7yeqr7vYDXEwAAAAAA7FurVq3ShAkTVL9+ff31r39VRkaGJk6cqEcffVT9+vXToYceqlNPPdXraR4QCN0AAAAAfMlICpjozmGu3ur6+vL3339fjuPo4Ycf1vDhw5WUlKTu3btr3Lhxmjp1qsLhsN5//32vp3lAIHQDAAAA8DVj3L/VdevXr1erVq3UrFkzGWMUDAZVXFwsY4yysrI0bNgwTZs2rdp13tj3CN0AAAAAfMsH+dcT6enpKi8vVyQSUUJCgurXr68VK1bIWitJKiwsVEFBgRzH8Xim+z8aqQEAAADwNS82DKvrYb9Hjx6aNGmScnJy1KJFC/Xp00fPP/+8unfvrkgkoueff14DBw6MbjGG2sM7DAAAAAD7mZ49e2rUqFHKzc1Vy5Ytdd111+mrr77SBRdcIGutunTpouuvv16BAIufaxuhGwAAAIAvGSMFjHG96hyo62VuSZmZmXrggQeivz/ooIP05ptvatmyZXIcRx07dlSDBg3Yo9sFhG4AAAAAvuZ+cPRfUDXGKDMzU0cddZTXUzngELoBAAAA+Jb/4m/tsNbqq6++Um5ubszPadmypdq2bUu1u5YRugEAAAD4lwdbeBlT98K+4zj63e9+pw8++CDm50ycOFF33nlnLc4KEqEbAAAAAHwvEAjovvvui7vSjdpH6AYAAADgS0ZSQN5sGVbXGGN06KGHej0N1IDQDQAAAMDXCN01s9YqNzdX33zzjXJyctSzZ081b95cJSUl2rlzpzIzM9kyzAW8wwAAAAB8iyZgNbPW6r///a+GDBmi4447Tqeccoo+/vhjSdKqVat03HHHadGiRd5O8gBB6AYAAADga8YYl29en/HerV27VhMmTFCLFi305JNPKisrK/pYu3btlJ2drSlTpshxHA9neWBgeTkAAAAA7Gfee+89lZeX6//+7/9Ur149JSQkRB8Lh8Pq1auXZs2apUgkwhLzWsa7CwAAAMCXjJECu7bvcvMWkPvblMXrhx9+UIsWLdS4ceMaH09KSlJhYSGVbhdQ6QYAAADga64H4DoeuCUpOztbW7duVUFBQbXHysvLtXDhQjVr1kzBYNCD2R1YqHQDAAAA8C0f5F9PHH300dqxY4eeeOIJFRYWSpIcx1F+fr4ef/xxzZw5UyeddBKh2wVUugEAAAD4l3G/0l3Xl5ZLUqdOnfS73/1Od999t6ZMmaKcnBz97W9/0/33368VK1bopJNO0qhRo+j+7gJCNwAAAADEqa5H1WAwqEsvvVTdunXT5MmTFQwGVVRUpGbNmunSSy/VWWedpbS0NK+neUAgdAMAAADwpWhTM5fH9cM1unPnztWyZcs0evRoDRgwQOXl5XIcR+FwWMFgkAq3i/zw8wIAAAAAu+V293I/mDFjhh577DEZYxQMBpWYmKjk5GSFQiECt8sI3QAAAAB8y5v8WPdDa6dOnVRQUKCioiKvp3LAI3QDAAAA8KmK2rMxbt8qx667hg0bpubNm2vSpEnasmWLSktLVV5eXuXmOI6stV5Pdb/HNd0AAAAAsJ/ZvHmz8vPzdd999+m5555T27ZtFQ6HqxxzxhlnaPz48R7N8MBB6AYAAADgS8ZIAeN+zdnIH9uG1a9fXwMHDoz+PhKJVHnccRy3p3RAInQDAAAA8DX26a6uVatWeuKJJ5Senq5AoOarioPBoMuzOjBxTbfLrLVVrp2w1ionJ0eLFy/Wjz/+yLdNAAAAAH61Rx99VOedd57KysqUkJBQ442tw9xB6HaR4zh69NFH9cADD0SD92effaZBgwbpqKOOUp8+ffT666/TzAAAAACIkdvbhfll27BIJKJt27YpFGJxs9cI3S7auXOnHn30UaWkpCgQCKisrEz333+/IpGIHnzwQXXr1k233HKLtmzZ4vVUAQAAAPjYwIEDtXXrVn3zzTcU9TzG1x4u2rZtm3JyctSxY0cZY7Rp0yZ98sknuueee3Teeeepd+/eGjhwoJYvX67s7GyvpwsAAADUaUYeNVLzYMx4tWvXToMHD9a5556rCy+8UN26dVNiYmKVY1q0aKFWrVqxxLyWEbpdFIlE5DhOdGn5kiVLVFZWpt69e8sYowYNGigpKUnbt2/3eqoAAACAb7jeSM3d4X6Rb7/9Vs8//7yKi4t1ww031NhMbeLEibrrrrs8mN2BhdDtogYNGigzM1PvvvuuDj/8cL300ktq06aNWrZsKUnavn27ioqKVL9+fY9nCgAAAPiDNwG47sfujh076pVXXtnj0vI2bdq4N6EDGKHbRenp6Ro/frzuuecevfrqq9q6dav++Mc/ql69erLWatasWUpJSeGHHwAAAIiVMa4vj677kVvKzMzUkCFDvJ4GROh2VSAQ0FVXXaX27dvr66+/Vvfu3XXCCSfIGKOysjI5jqPrrrtOTZo08XqqAAAAAHbHD6l7l9LSUv3www/6/vvvVV5erkaNGumggw5SvXr1uJbbJYRulyUlJWnkyJEaOXJk9D5rrUKhkK655hrP5gUAAAD4jWeN1FT3c7e1Vt99951uvfVWvfvuu8rPz5e1VomJieratatuueUWHX/88TVe6419i9DtMmutNm/erOnTp+vrr79W8+bNdeWVV8oYo88++0xNmjRR69atvZ4mAAAAUPftSr6eNFKr46l7+/btOvfcc7V8+XKNHTtWvXv3VmJiopYvX67nn39e5557rl555RX179+finctI3S7yFqrpUuXavz48Vq7dq0cx1H37t112WWXKSEhQa+++qpWrlypKVOmVGvnDwAAAKA64mLNZs2apSVLluj555/XsGHDohVta63OPvtsnXrqqfrXv/6lvn37KhgMejzb/RtrCVxUVlam22+/XcFgULNmzdL5558ffcwYo5NPPlnz5s3T2rVrPZwlAAAA4C/Gg1td980336h9+/YaMGBAlSXkxhg1a9ZMw4cP17Jly1ReXu7hLA8MhG4X5eTkaMGCBbryyivVvXt3JSQkRB8zxqhVq1aSpDVr1ng0QwAAAAB75YPl2PXq1VN+fr6KioqqbRtmrVVOTo6Sk5O5ptsFvMMuKikpUSQSUXZ2tkwNWxuUl5crEonscS89AAAAABUqGqkZTyrddT129+3bVxs3btR9992nTZs2qaysTOXl5SooKNArr7yiqVOnavDgwSwtdwHXdLuofv36ysjI0BdffKGhQ4dWecxaq/fff1+O49BIDQAAAIgDjcCq69mzp6688kr99a9/1SuvvKKOHTsqISFB69at08qVK9W7d29NmDCB984FhG4Xpaena9SoUfrHP/6hgw8+WDt27FBZWZnWrVunDz74QHfccYeGDBmitm3bej1VAAAAALvhh5waDod1yy236KijjtKLL76o5cuXq7y8XK1atdLFF1+sUaNGqUGDBoRuFxC6XRQIBHT11Vdrw4YNmjBhgkpKSlReXq5+/fopPz9fAwYM0H333VflWm8AAAAAu2eMP0KwFxISEnT88cfruOOOU3l5uRzHUTgcViAQIGy7iNDtsvT0dP3973/XOeecozlz5mjjxo1KTU3VEUccoYEDByotLa3ufQD8sBEh9ksmEFAglCDR5wCeMIqUl3o9CRyAjIysY+Xwdx9cZmUl+fTnzuXPS139l7G1VgsWLND69et13HHHKTk5OdpLqrKwZ63VF198odWrV+u4445TvXr1PJ71/o/Q7TJjjBITE9WnTx/16dOn2mN1USAQVEJKskyAJgtwVzg5SUnpx3g9DRygCjav04aF73s9DRyQjLKyBssJN/F6IjjAWCei8oj/QrfhC6qovLw8XXrpperdu7dGjBix2+OKi4t16aWX6rHHHtNJJ51UZ3PI/oLQXctKSkpUUFAQc0fyQCCgzMzMOte63xgjU8fmhP2fkRSgoyY8YxQpLfF6EjhAORGHRT5wnbW+rXO7H7zr6Ad06dKlWrt2rR555JHddiU3xqhXr17q2bOn3nrrLY0YMYLQXcsI3bXsv//9ry6//PKYN51v1qyZ3njjDWVnZ9fyzAAAAAC/s5J15P6C77q5FP/bb79VgwYN1LZt2z0G6XA4rF69eum///2vIpFInSv47W8I3bWsTZs2Ov/88+U4TkzHp6enKyUlpZZnBQAAAOAXq6OV7oKCAoXD4ZgaM6empqqwsFCRSEThcNiF2R24CN21rHPnzrrlllu8ngYAAACw/6nMvl40UquDubtBgwbasWOHtm/frvT09N0eZ63VmjVrlJmZudtl6Nh3WEcAAAAAwJeMJGMd/W+5t3u3ungV9KGHHqri4mJNmzZttyttrbVau3atZs6cqaOOOorQ7QIq3bVs5cqVevvtt9WpUycNHjxYb7zxhtatW7fb41NTU3XWWWfRuh8AAACIkesBuA5WuSWpffv2OvHEE3XPPfcoNTVVp512mlJTUxUIBGStVXl5uZYuXarrr79eRUVFGjNmDE3UXEDormXLly/Xn//8Z5166qk65phjNHXqVH344Ye7Pb5Zs2Y66aSTCN0AAADAXtldbddj65+071RW1+uWcDisu+++W+vWrdPll1+uv//97+rRo4eysrJUUlKi5cuXa+HChQoEAnrwwQfVpUsXQrcLCN217JhjjtHcuXOVkpKihIQEPfTQQyouLt7t8cFgUA0bNnRxhgAAAICf1b3w6xVjjFq2bKkXX3xRjz/+uF566SW9+eabKi4uViAQUFZWloYNG6arrrpKRxxxBF3LXULormVJSUl65513FAqFdN5556lRo0YqKirS2rVr1bp1ayUnJ3s9RQAAAMDf2Kc7yhijRo0a6aabbtKVV16pnJycaFfz+vXrq0GDBgoGg1S4XcRXGy744IMPNGfOHNldH86VK1dq+PDh+vbbbz2eGQAAAOBzdTgAe8kYo9TUVLVp00bdunVTx44dlZ2drVAoROB2GZVuDziOo/z8fEUiEa+nAgAAAPgfwRt1GKEbAAAAgD/ZXY3U3L6u29bNRmqomwjdLrM/+xbu57+vxJIPAAAAIBYehV8yN2JE6HbJ0qVLNWnSJBljtGHDBhUWFmrKlCmaM2dOlePS0tI0evRotgwDAAAAYuXy8nLDcnbEgdDtgoSEBH399df6+uuvq9z/8MMPVzu2RYsWOvHEEwndAAAAwF5ZGetIcnuVKKEbsSN01zJjjO644w5dddVVMR2fkJDAPt0AAABAHLgws2bl5eX6/vvv9d1332nnzp3VLm1t3769OnfuzKWttYzQXcuMMWrTpo3atGnj9VQAAACA/Y+1uxqbuTxmHa92FxUV6d5779Xjjz+u/Pz8Go+ZOHGi7rzzTpdnduAhdAMAAADwMS/Cb90O3JL0/vvv629/+5tGjx6ts88+Ww0aNKhW0c7OzvZodgcWQjcAAAAAf6rMvm43NvNBI7XPP/9cbdu21Z/+9CdlZmayhNxDhG4AAAAAPlW5tNyDRmp1PHinp6crJSVFiYmJBG6PBbyeAAAAAABg3zruuONUVFSkTz/9tFoDNbiLSjcAAAAA//KkkZrL4/0CDRo0UJ8+fXT++edr9OjR6tSpk0KhqvGvS5cuOvTQQ6mE1zJCNwAAAACfqvtdxL2yevVqvfzyyyorK9PDDz9c4zHXXnutDj30UJdnduAhdAMAAADwNxqpVdOtWzd9+OGHe1xanpWV5eKMDlyEbgAAAAD+ZCU5juT28mgf7NOdkpKiLl26eD0NiNANAAAAwO98UHn2grVWBQUF+vrrr7Vy5UqVlZWpWbNm6tGjhxo3bqxAgL7abiB0AwAAAPApK+NB1dlYp64XumWt1WeffaaJEyfq888/l+P8r/lbs2bNdNNNN+ncc89VOBz2cJYHBkI3AAAAAB+zru/S7QcbN27U+eefr5KSEt1333068sgjlZCQoFWrVumJJ57Qb3/7WzVu3FgjRoyge3ktI3QDAAAA8DdPGqnV7VL3e++9p82bN+utt95Sr169osG6R48eGjJkiM444ww99dRTOvHEExUMBj2e7f6NRfwAAAAAfKpyj27rwa1uW716tQ466CB169atSiXbGKOMjAwNHDhQa9euVXl5uYezPDAQugEAAABgP9OgQQNt2bJF27dvr7ZtWCQS0apVq5SRkUEzNRfwDgMAAADwp2jh2bp/q+OOOeYY5eXlaeLEiVq6dKny8/NVUFCgDRs2aNKkSXr11Vc1YsQIhUJccVzbeIcBAAAA+FjdD8Be6NKli+666y7dcsst+s9//qPmzZsrISFBmzZt0vbt23XaaafpvPPO83qaBwRCNwAAAAB/80Hl2W3BYFAXXXSRjjzySE2bNk3Lli1TWVmZ+vXrp2HDhmnQoEFKTk6mc7kLCN0AAAAAfKqykZrLwdE6vgj6wWBQhx12mHr06CFrray1Va7hJnC7g9ANAAAAwN98EIDdVl5eruXLl6tp06bKzMyUMUYrVqzQM888o507d+rkk0/WgAED2C7MBTRSAwAAAOBbJrpntns3Yx13Tu5X+OqrrzR8+HCtW7dOkrR161adc845evTRR/Xaa69p1KhRmjNnTrXO5tj3CN0AAAAAfMzKSK7eKsety+bNm6e0tDS1bdtWkjR79mytWrVKU6dO1SeffKKuXbvqiSeekOPU/S8Q/I7QDQAAAMDf2DKsmh9//FHp6elKSkqSJH3wwQfq2rWr+vTpo6ZNm2rIkCH65ptvFIlEPJ7p/o9rugEAAAD4k/WokVodr3JLUlpamrZv366dO3cqHA5r3rx5GjhwYDSEVzZWY3l57aPSDQAAAAD7md69e2v9+vW66667dO+992rFihUaNmyYjDGKRCJatGiR2rRpo1CIOmxt4x0GAAAA4F/RarfLY9bxavcRRxyha6+9Vo899pjKy8t10UUXqV+/fpKk1atX64svvtB1111XZQsx1A5CNwAAAACf8ir82rqeuSVJ1157rS6++GJZa9WoUaPo9mDZ2dmaNm2aWrduzV7dLiB0AwAAAPA3t69L9sF10I899phmz56tJ554QmlpaVUey8jIUEZGhkczO/AQugEAAAD4F43UapSfn6/169crHA57PZUDHgv4AQAAAPgb24VVM2DAAOXk5Oi7776jQ7nHqHQDAAAA8CVjrYwHTc2MdWTqeLW7W7duGjx4sC644AJdccUV6tKlixISEqock5WVpezsbK7rrmWEbgAAAAA+Zl1fXO4H33zzjaZMmaL8/Hydd955SkhIqBaur732Wt15550ezfDAQegGAAAA4G+uN1Jzd7hf4uCDD9Zjjz0mx9n9dmqdO3d2cUYHLkI3AAAAAP9yHMnt5dHWqfPXdmdlZemMM87wehoQoRsAAACAb9Xt4FtXVDZS+3lDtcrl5lzTXbsI3QAAAAD8jX26a1RcXKw5c+boww8/1ObNm1VeXl7l8eOPP16nnXaaR7M7cBC6AQAAAPiTlW8CsNuKi4t1/fXXa/LkyWrcuLFWr16tFi1ayFqrH374QdnZ2TrssMO8nuYBgX26AQAAAPib2/t0+yDof/LJJ5o8ebLuvfdeTZ8+XdnZ2brzzjs1f/58Pfjgg2rUqJH69u3r9TQPCIRuAAAAAP5lHe0qeXtwq7s+/fRTtWzZUmPHjlVGRoaMMQqHw8rOztall16qQw89VA8//PAeu5tj3yB0AwAAAPA3qtzVFBUVKTMzU0lJSQoEAkpMTFRubq6stQoGg+rSpYu+/PLLatd5Y98jdAMAAADwKStj3a9wG2vreqFbrVq1Um5uroqLi5WcnKyWLVvqo48+UmlpqYqLi7Vo0SIlJiYqECAS1jYaqQEAAADwMSv3N7yKL3Fba1VUVKR58+Zp9erVat26tfr06aPk5OSYtusqKirSxo0blZaWpqysrJie06tXL+Xl5em7775Tjx49NGrUKN144406/fTTFYlE9OGHH+r2229XKEQkrG18rQEAAADA3+r48vLCwkJdddVVmjhxoubPn68bb7xRl112mXbu3LnX50YiET344IPq2bOn7rvvvpjH7Ny5s1577TW1bNlSkjR+/Hjdeeedys3NVW5urm6++WZdeuml7NHtAr7WAAAAAOBP1u5qpOZycIw2b4vN22+/rXfffVdvvfWWunbtquXLl+uEE07QG2+8obPOOmu3wddaq/nz5+vVV19VkyZNVFRUJGttTEE5HA7rN7/5TfT3ycnJuvrqq3XZZZdJkkKhEEvLXcK7DAAAAMDf6nClOxKJ6PXXX9eRRx6pLl26KBAIqH379urXr59ef/31PXYPz83N1R133KEJEyZEK9bxvS1WBQUFWrx4sT788ENt2bJFCQkJMsaoqKiIzuUuIXQDAAAA8C8PGqlVVLorQq3jOFVu9mehvLi4WCtXrlSnTp2ileVAIKBOnTppxYoVKikpqfG0IpGIHnroIaWnp2vUqFFxLwOvrJKfeOKJ6t+/vwYPHqwPPvhAkvTtt9/qhBNO0NKlS+N6TfwyhG4AAAAAPuZdG/HHHntM48ePj94eeuihatXj8vJy5efnKz09PRqcjTFKT09XUVFRjaHbWqt58+Zp6tSpuu2225SSkhL33NavX6/zzz9foVBIf/3rX1W/fv3oFwLt27dXUlKSnn/++WpfEmDf45puAAAAAD5VWXl2OTjuqq63adNGPXv2jN598MEHV6tIBwIBhUKhKvthW2tVXl6uYDBY43XVO3bs0K233qpzzz1X3bp1UyQSiXuK7733ngoKCvSvf/1LmZmZuvXWW6OPJSQk6IgjjtCcOXNUXl6ucDgc9+sjdoRuAAAAAP7lOJLbHbitI1lp2LBhGjdu3B4PTUhIUKNGjbRx48YqTdB+/PFHNWjQQMnJydWes2TJEn3xxRdq2LChLrzwQjmOo8WLF2vdunWaOHGi7rjjDmVkZOxx3DVr1qhVq1Zq0aKFCgoKqj2empqqvLw8rut2AaEbAAAAgK95uUR6b9daJyQk6Mgjj9SHH36owsJC1atXT8XFxZo/f76OOuoohUKhavNv3769/vnPf0Yr3JFIRAsXLlR2drb69eunhISEvc6rYcOGys3NVWFhYbXHIpGIvv76azVu3FjBYDCOs8UvwTXdAAAAAPzJ2orA6vbNqWyqtnfGGI0ZM0YbN27Uww8/rFWrVunRRx/VmjVrNHbs2Ghof/jhh3XHHXeovLxc2dnZGj16tMaMGaMxY8borLPOUtOmTdW+fXudcsopNVbHf65///7asmWLpk6dqtLS0uj9xcXFmjp1qt555x2deOKJhG4XUOkGAAAA4F8eVLmtbFz927p06aJHHnlEf/7znzVlyhRlZWXp4YcfVvfu3WWMkbVWq1ev1vr162us2htjlJ2drYYNG8bcxbxbt2665pprdOutt2rKlCnatm2bHn30UT300ENauHChBg4cqDFjxsTdFR3xI3QDAAAA8Lc63oE7EAho6NChOvroo1VSUqKEhAQlJiZWCbx33XWXHMepsalZMBjUP//5zxqbru1OKBTSxIkT1aVLFz399NNq2bKl1qxZo8aNG+vWW2/VhRdeqMzMzH1xetgLQjcAAAAAf7J2VyM1l8d1Iop3qzJjjBITE5WYmFjjY/Xq1dvjc1NTU2Max1qr4uJirV69Wrm5uerUqZMmT54c7ZielJRULfCjdhG6AQAAAPiYB1uG1VHWWq1bt05XXXWV3n//fRUXF6tevXo68cQT9eCDDyo7O9vrKR6QCN0AAAAAfMpGt+9ylePBmDGIRCK644479N///lennnqqOnbsqC+++EKvvvqqWrRooT/84Q9xLVHHvkHoBgAAAOBfnoTf2LuXuyknJ0ezZ8/WNddco9tuu02hUEilpaW66qqr9M477+jmm29WWlqa19M84BC6fcpaq4KCAi1evFhLly5VaWmpunbtqsMPP1xJSUnRazQcx9Hq1av10UcfqbCwUL169dJhhx2mUIg/egAAAPic1f+2DXN13LoXuCUpLy9PBQUFGjp0qEKhUPQ68mHDhunNN99UUVERodsDrC3wKWutbr75Zl155ZX65JNP9PXXX2vChAm66qqrVFhYGD3mvffe04knnqi33npLX3zxhcaOHat//OMfikQiHp8BAAAA8OtYWVnHqVju7eLNOo77QT8GjuPIcZwqRThJSkxMlLWWDOARyp0+ZYzROeeco9tvv10NGjSQJM2bN08nn3yyRowYoREjRqigoEC33nqrhg0bpj//+c8KhUJ66aWXdP3112vYsGHq1KmTx2cBAAAA/AqVubcOBmCvOI6jL774QkVFRdH7Fi9erNLSUs2bNy+aHSSpVatWatOmDZ3Maxmh26eMMerVq1eVD0iXLl2UkZGhFStWSJLWr1+vFStW6A9/+IMSEhIkSQMHDpQxRrNmzVLHjh35gAEAAMDfrCNZlxfw1uGQX15erquuuqrKv/Mdx1F5eblGjx5d5f7f/va3uvvuu72Y5gGF0O1jP/3AWGu1bNkybd26VQcddJCkig+c4zjRwC0pem3H0qVLq71e5ZKTny47KS8vr8UzAAAAAH4lL/JvHQ3dTZo00UMPPRTzv+EPOeSQWp4RJEL3fsFaq9zcXN1+++3q3r17tJrduHFjZWVlae7cuerbt6+MMVqyZIlycnKUm5tb42v95S9/0VtvvRX9/datW2Xd/uYQAAAAiIlHW4bZutm9PDMzU+PHj/d6GvgZQvd+oLCwUL///e+1Zs0avfDCC8rIyJAkNWzYUJdddpkmTZokY4waNmyoJ598UgkJCUpOTq7xtY4//nh17949+vtPPvlEf3nydTdOAwAAAIjPru7lrleevQj68C1Ct8+VlJToD3/4g2bMmKGnn35ahx56aHTZeSAQ0OWXX642bdpo5syZWr16ta6++mr96U9/UseOHau9ljFGhxxySJVlJqWlpTKEbgAAANRhdbGTOFCJ0O1jZWVl+vvf/65nn31WjzzyiPr161ftOu+EhASdcsopGjlypCRp4cKFysnJ0dChQz2aNQAAALCvWFkbcb+RmuOIUjdiRej2KWutJk+erD/+8Y+64YYbdPDBB2vlypWSpPr166thw4aSpP/85z8yxqh169Zat26d7r33Xo0dO1bdunWjczkAAAD8z4Psa2XJ3IgZodunHMfRRx99pCZNmmjatGl68803o4+NGTNGl1xyiSQpLy9PjzzyiMrKypSUlKSzzz5b48aNUzAY9GrqAAAAwL5R2dDM9Wu63R0O/kbo9qlAIKBJkybVuB1AYmJi9L/PPPNMjRw5UiUlJUpMTFRCQgIVbgAAAOw/HCsZDxqpkbwRI0K3TxljlJqaGtOxiYmJVYI4AAAAAMAdhG4AAAAAPmVlrVNReHZ1WLcHhJ8RugEAAAD4U+U+3S4v9baWRmqIHaEbAAAAgI9Z9yvPHgR9+BehGwAAAIBP2Yo9s43L+3SzvBxxIHQDAAAA8De3twwD4kDoBgAAAOBPdtfScut2pduDvcHhWy7/dAIAAADAPuRF9iVwIw5UugEAAAD4mK3oJu7ukEDMCN0AAAAA/Mla2Yj7Tc2s41DtRswI3QAAAAD8zfUATOBG7AjdAAAAAHzKSjbifiM1xxHBG7GikRoAAAAAxIXAjdhR6QYAAADgT1b/2zbM1XEtuRsxI3QDAAAA8CkP9+kmdSNGhG4AAAAA/mXl/pZhQBwI3QAAAAB8yVrJelLpdtgxDDGjkRoAAAAAxIHAjXhQ6QYAAADgXxXlbrcHFdd0I1aEbgAAAAA+VdlIzeVhHZe7pcPXCN0AAAAA/Kty2zDXBwViQ+gGAAAA4E/WSjbiSSM1LuxGrGikBgAAAADxIG8jDlS6AQAAAPiXtR7s003qRuwI3QAAAAD8qTJwuxy6rUP3csSO0A0AAADA37i+GnUYoRsAAACAfzmOFDDujunFNmXwLRqpAQAAAPApj5Z52+gvwF5R6QYAAADgT1YVVWfH7XHdHhB+RugGAAAA4FO7mqgZl6vO1lLoRswI3QAAAAD8y8qDLcN2DQzEgNANAAAAwJ+slXUicr1VlcPycsSORmoAAAAAEAdLIzXEgUo3AAAAAP+y1oN9urmmG7EjdAMAAADwJytvQrdD4kbsCN0AAAAA/M2TRmpAbAjdAAAAAHzKVjQ1CxiXh/ViSTv8ikZqAAAAAHzMg/BL4EYcqHQDAAAA8CVr7a6by1t4WYc+aogZoRsAAACAf1lHsu4u4LXWivbliBWhGwAAAICvWZZ7ow4jdAMAAADwKSvrOFLA5VZV1qHQjZjRSA0AAACAP3kVfAnciAOVbgAAAAD+Zd1fXm7FNd2IHaEbAAAAgD/ZXcvL3V7AG7FkbsSM0A0AAADAvzypdAOxI3QDAAAA8CUreVPpdhw6piNmNFIDAAAA4E/kXvgAlW4AAAAAPmVlrXV/eTlVbsSB0A0AAADAv6ytuLk9JhAjQjcAAAAAX3O98kzmRhwI3QAAAAD8yUo2Yl3vVGUdh2o3YkYjNQAAAAA+ZUXZGXUdlW4AAAAAvmR3/UIjNdRlhG4AAAAA/mS92qfb/Y7p8C9CNwAAAABfc7/S7epw8DlCNwAAAAB/slZOJCITcLfSXdFIzdUh4WM0UgMAAAAAoJZQ6QYAAADgX9b966srxqPUjdgQugEAAAD4kq0M3G5fZG0tmRsxI3QDAAAA8DU6iaMuI3QDAAAA8C3rWMm4PaZDoRsxo5EaAAAAAH+y8nD/LmI3YkOlGwAAAIBPVVxb7ck+3WRuxIjQDQAAAMCf7K49s91ewMs+3YgDoRsAAACAr9FIDXUZoRsAAACAL1nZikp3wN1Kd0V1naCP2NBIDQAAAACAWkKlGwAAAIA/2YqmZtZxu5Ga9a5pOnyH0A0AAADAt6zjyLq+vJzEjdgRugEAAAD4Go3UUJcRugEAAAD4krW2oupsXB7X2bWuHYgBjdQAAAAA+Jcn4ZfAjdhR6cZehcJBZTRKkQnw4wJ3BQNGKQkh17+9BiSpftpBym+S7vU0cIDatmG9cr5f5/U0cKBxHO3cnuv1LOJjJTlWVo67w3JNN+JAisJeBUMBpWYmKxDkxwXuCgWNGtRLkDGkbrivqH6yMps38XoaOABZa7Vo+nTlbtjo9VRwgLHWUSQ/3+tpxMlWXM9t3V5fbrmOHDEjRQEAAADwNQIw6jJCNwAAAAB/qtyj2+VOVdZxdzk7/I1GagAAAAB8jCo36jYq3QAAAAD8y7rf2MxakfURM0I3AAAAAF+q2KfbkQIuL+B1HJG6EStCNwAAAABfo5Ea6jJCNwAAAAB/srZiabnrO4ZZCt2IGY3UAAAAAPiXF1VuLupGHKh0AwAAAPAta60cl7fwstZ6kvXhT1S6AQAAAPiSlVeFbhI3YkelGwAAAICPUXVG3UboBgAAAOBPXjVSc6w3JXb4EsvLAQAAAPiXJ9mXwI3YUekGAAAA4E9WknVkHXdL3dZaYjdiRugGAAAA4FO7lpe7vX7XcVhejpgRugEAAAD4GI3UULcRugEAAAD4krXypNJtHVI+YkcjNQAAAACIC6EbsaPSDQAAAMCfrP3ftmGuDsuWYYgdoRsAAACAb1UsL3d5o26WlyMOhG4AAAAAPkYjNdRthG4AAAAA/lS5tNzlQnfF8nJ3x4R/0UgNAAAAgH95EX6tJXMjZlS6AQAAAPiXtbKO60OKUjdiRegGAAAA4EvWSo5jZVzfp9uJO3PbGi48N2b36+JrOn5vz0HdROgGAAAA4GN1v5GatVZr167VU089peXLl6tdu3Y699xz1bZt2xpDtLVWixcv1syZM/X1119Lknr37q0zzjhD9evXJ3j7DNd0AwAAAPAna/+3Z7aLN+vY3Vaia7Jp0yadffbZ+uabbzRixAitWrVKZ511ljZu3Fjj8SUlJbrzzjv1zTffaPDgwRowYICeeOIJXXjhhSooKNhX7x5cQqUbAAAAgH9Zud69PJ615dZavfDCC9qxY4dee+01ZWdna9iwYRo8eLCef/55TZw4sVrlOiEhQQ899JCysrIUCoVkrVWXLl00YsQILViwQIMGDdrXJ4RaRKUbAAAAgH9VVp7dvMWxnL28vFyzZs1S79691ahRIxljVL9+ffXr10/vvvuuIpFItecEAgE1adJEoVBFjdQYo0aNGikYDGrbtm376p2DSwjdAAAAAHzJVu7T7fYSc6din+7CwkJt3749etu5c2e1ZeclJSX6/vvv1aZNGwUCFfHLGKM2bdpow4YNKioq2ut5Oo6jmTNnRive8BeWlwMAAADwtXiur96X7r33Xj388MPR3w8bNkx/+tOfFAwGo/dFIhEVFxcrOTk5ep8xRklJSSorK1N5efkex7DW6vPPP9cf//hHXXDBBerQocO+PxHUKkI3AAAAAN+yjpVc7uZdGfInTJigESNGRO/PyMiIVrMrBYNBJSUlValoW2tVXFyscDiscDi8x3FWrFihCRMmqHfv3rrxxhurBHr4A6EbAAAAgD95tVXYrnFbtWqlHj167PHQxMREtWzZUqtXr5bjOAoEArLWas2aNWrevLmSkpJqHsJa/fDDD7rwwgvVvHlzTZo0Senp6WwX5kNc0w0AAADAt6zjyHH5Zh1HsXZTC4VCGjJkiD755BNt2bJF1lpt27ZNc+bM0dChQxUMBmWtVUFBgfLy8iquU7dWOTk5uuSSSxQMBvXII48oKyuLwO1TVLoBAAAA+JONr5P4Phw25iK7MUajRo3S1KlTdcUVV2jkyJF66623lJSUpLPOOit63O23364ffvhBkydPliTdeOON+uSTT3TrrbdqwYIF0eMOPfRQtW3bdl+eDmoZoRsAAACAf1nJur7OPL7xGjdurClTpuipp57S9OnT1aFDB/3hD39Q06ZNZYyRtVYHH3xwdPl4eXm5GjRooKFDh+rTTz/Vp59+Gn2t1NRUQrfPELoBAAAA+JJVZVMztxupKa7cbYxR69atddttt8laK2NMtaXil1xySfTYUCikBx54YLevBX8hdAMAAABAPGz0l7jUFLZ3dz/hev9B6AYAAADgT7ZiyzDrcj71al9w+BOhGwAAAIAvVSwvd3/nMBt783KA0A0AAADAx3zQSA0HNkI3AAAAAH+ytmLPbJevf7ZelNfhWwGvJwAAAAAAvkLgRhyodAMAAADwJyvJs0ZqJG/EhtANAAAAwLc8aWjmiMyNmBG6AQAAAPiXJ43UgNgRugEAAAD4krVWjmNlXG6k5lhiPmJHIzUAAAAAAGoJlW4AAAAA/uVBIzWxZRjiQOgGAAAA4E+2spO4y8Na61EHN/gRoRsAAACAf3nRSI3AjTgQugEAAAD4krUVTc2M3G6kxupyxI5GagAAAAAA1BIq3QAAAAB8ynrSSM3SSA1xIHQDAAAA8Cev+pkRuBEHQjcAAAAAX3O9gzmhG3EgdAMAAADwJSsrG3FkjduN1KwnW5XBn2ikBgAAAMC3iL6o66h0AwAAAPAnK8la96/rpsqNOBC6AQAAAPiTlawjubxNd0XmJncjRoRuAAAAAP5lK67tdntMIFaEbgAAAAC+ZR0rudxIjX26EQ8aqQEAAABA3EjdiA2VbgAAAAC+ZK2Vdawc424AptCNeBC6AQAAAPiT3bXU2+VOaiwvRzwI3QAAAAB8zbKFF+owQjcAAAAA//KqkRoQI0I3AAAAAN+yIgSjbiN0AwAAAPAlayu2DLNuX9MtS9BHzNgyDAAAAIBPWXmRfcnbiAeVbgAAAAD+ZSsqz+6OSepG7AjdAAAAAPzJStZxvGmkRu5GjAjdPmatleM4chxH1loFg0EFAgGZn/2lY61VJBKR4zgKhUIyxlQ7BgAAAACw7xG6fezTTz/VY489pi1btqisrEwtW7bU+PHjddRRRykQqLhc33EczZo1S0899ZS2b9+uQw45RFdccYWaN29O8AYAAIC/WUmOlXX7n7VUuhEHGqn52ObNm9WqVStdeuml+u1vf6ukpCSNHj1an332mayt6Kj40Ucf6aKLLlL37t119dVX65tvvtHFF1+sgoICr6cPAAAA/HrW/RuXdCMeVLp97MQTT9Tw4cOjv+/Vq5c+/PBDvfnmmzr88MMViUT00EMPqW/fvpo4caJCoZDatm2rwYMHa/bs2Ro+fDjVbgAAAPga+3SjrqPS7WOV129X3ir/sklJSZEk5ebm6vPPP9egQYOi13K3bt1aBx98sD788EMvpw4AAAD8atZa2YiVdeTqzYmwTzdiR6Xb54qLizV//nzl5eVp+vTpSk9P1+jRoyVJeXl52rZtm1q2bBmtaIdCITVr1kyrV6+u9lrWWuXk5Cg/Pz9636ZNm8QFKwAAAKjLCMCoywjdPrdz504988wzWr9+vb799ludcMIJysjIkCSVlpbKcRwlJiZGjzfGKCEhQXl5edVey1qrv/3tb3r55Zej9xUUFMgmZ9f+iQAAAAC/gLVW7l8wSchH7Fhe7nMNGjTQo48+qmnTpumdd97Rxx9/rD/96U+SpOTkZIVCIe3cuTN6vOM4KiwsVFpaWrXXMsbo+uuv1/vvvx+93XPPPVz3DQAAgDrJ2spfPBgXiBGVbp8zxigUCikUCqlTp07q37+/5s2bp9LSUqWnp6tx48ZatWpVxTeAxqisrExr167VcccdV+NrZWZmKjMzM3pf/fr1XTwbAAAAIB7Wu0ZqBG/EiEq3T1lrtXbtWpWVlUW3B8vPz9eyZcvUqlUrhcNhZWRkaMCAAXrrrbe0c+dOWWv15Zdf6vvvv9eQIUO8PgUAAADg17HyrpEaqRsxotLtU47j6A9/+IPy8vLUs2dPRSIRzZ49W5s3b9YDDzwQXRJ+9dVXa9SoUZowYYK6d++ul156SSNHjtQRRxzBsnEAAAAAqGWEbp8KBAK69dZb9f777+ubb76RJI0aNUpDhw5Vs2bNooG6U6dOevXVV/Xaa68pJydH119/vYYPH66EhAQvpw8AAADsExWrPl0flOXliBmh26eMMWrRooXGjh1b7f6f/75du3b67W9/u9tjAAAAAF+ykhzJ7fblNFJDPAjdPhdrgCZoAwAAYH9krQdXV5O6EQdCNwAAAABfstZKjvWg0m0J3ogZoRsAAACAr3myZRgQI0I3AAAAAN9yHKuAy6VuKw+at8G32KcbAAAAgD9ZedJFnMCNeFDpBgAAAOBLlZmb5eWoywjdAAAAAPzJSopYyeWdeiz7dCMOLC8HAAAAAKCWUOkGAAAA4FPWk+XlVh7sDQ7fInQDAAAA8C1rrazry8sl1pcjVoRuAAAAAL5EIzX4AaEbAAAAgG851v1GahHLPt2IHY3UAAAAAACoJVS6AQAAAPiSleRU/oeLHHeHg88RugEAAAD4lrWSdXd1udimG/EgdAMAAADwJ0sjNdR9hG4AAAAAvmTlTSM1x7JPN2JH6AYAAADga24XugnciAehGwAAAIAvWUkRKwVcvqbbIXUjDmwZBgAAAABxqLiO3OtZwC+odAMAAADwLRqpoa4jdAMAAADwJWstjdRQ57G8HAAAAADiQOBGPKh0AwAAAPAlK8mp/A+XxwViRegGAAAA4FvWStbl7uVcQo54ELoBAAAA+JrbjdTI3IgHoRsAAACAL1Xs020V8KSRGtEbsSF0AwAAAPA1lnujLiN0AwAAAPClykZqLl/SLUcEfcSOLcMAAAAA+JYn4ZfAjThQ6QYAAADgW1buB28yN+JB6AYAAADgS9ZKjpXr68sdS/BG7FheDgAAAABALaHSDQAAAMCXKhqpuV92dtgwDHEgdAMAAADwLWsl6/LycjqXIx6EbgAAAAC+ZbXrum6XxwRiRegGAAAA4EuVjdQCXjRSI3kjRoRuAAAAAL5mScCowwjdAAAAAHzJysqRlXF5zzBLIzXEgS3DAAAAAPiWF0VuCuuIB5VuAAAAAL5l5X4IJnMjHoRuAAAAAL4U7VzuRSM1d4eEj7G8HAAAAACAWkKlGwAAAIAvWUmO3C87OxWL2t0dFL5F6AYAAADgW9ZK1uXl5Zbl5YgDoRsAAACAb3nWSI3UjRgRugEAAAD4krU0UkPdR+gGAAAA4GuWjbNRhxG6AQAAAPhSZSM143Kp21LnRhzYMgwAAACAb3lR5KawjnhQ6QYAAADga15kYHI3YkXoBgAAAOBLFcvL3V++67g8HvyN0A0AAADA12ikhrqM0A0AAADAp6wnjdQcWqkhDjRSAwAAAOBbnhS5rbioGzGj0g0AAADAl6zdlX9dDsDkbcSD0A0AAADAl6wkx0oury6XYwneiB2hGwAAAICv0UgNdRmhGwAAAIBvedFIzdJIDXGgkRoAAAAA3/KiyF0xJrEbsaHSDQAAAMCXKmMvq8tRlxG6AQAAAPhWxEoBGqmhDiN0AwAAAPCl/1W6icCouwjdAAAAAPzJetdIjVI3YkUjNQAAAAC+5VUjNTI3YkWlGwAAAIAv2cqbywmYwI14ELoBAAAA+JZjJZdXl9NIDXEhdAMAAADwNT80UrPW/n979x4cVX33cfxzdjfZzc0QUgghGMIlUJHKNSBTQitgg4ZIAOtYJe2M3AqilEolVEenY1qoofYipmUsGSxQ0I5atNAWhNoOGhhARB65KAEhBrlFSEKS3WX3/J4/fLJtGqT1IZsly/s1szPMOTns94TDOedzfpcjn8+npqYmeTweeTweWdaVnxYYY+T1euX1ehUXFye32/0ft8G1hzHdAAAAADokIyNbRrbUzp8vFvJt29bmzZtVUFCg22+/XQUFBdq0aZNs277iNn/84x+Vn5+v22+/XYWFhXrzzTc7xAMGtEToBgAAANBhRWoitS/iwIEDmjNnjr7xjW9o/fr1Kigo0Lx587R///7LhmhjjHbt2qXvfe97uvvuu7Vu3Trl5uZq9uzZOnLkCMG7gyF0AwAAAOiQmidSs037fpq/97+q0RitXbtW6enpmjt3rvr27atZs2YpKytLa9as+dwAvWrVKt1000164IEHlJ2drYcffljJycl66aWX2ui3h/ZC6AYAAADQYdn6l1nM2+nz+Z3CW/P7/dq5c6eGDx+u+Ph4SZLH49HIkSNVUVGhQCDQapvGxkbt3r1bI0eOlNvtliQlJCRo6NChevvtt6/YLR3XHiZSwxXZtq2At0F1x/5HlsMZ6XJwnXE5HbLjOE0hMvwBW75L3NSg/RljdOn8x7Ivnot0KbjuGCnoUzAYjHQh/zWvbJ2Wr70nL5eR5JOtI0eO6O233w4tT01NVb9+/VpMdub3+3X27Fmlp6e3WN6tWzedP39eTU1Nio2NbfH3e71effrppy22sSxL3bp10969e+X3+xUXFxfenUSb4W4WVxQTE6OMRKcCf18pMVPiF1Zz7pyavF71yMjg9/f/cElSU6SL6KiM0fETJ5ScnKxOnTpFuhpcZwKBgI4dO6aemZmK/b8WGnwxPWxb8kS6io7HyOiTTz6Ry+VS1y5d1O7vkergjIwCN6aGWlavdZ07d1bqzdn6KELfn2pStWHDBm3cuDG0bNy4cVq6dKmczn82Vtm2rUAgIJfrn9HLsiw5nU4Fg8HLtlrbtq1gMNhqG5fL9bnb4NpF6MYV5eXlKTc3t8V/ePz3ysrK9O6772rFihW83gHtKhgM6t5779WUKVP0rW99K9Ll4Dpz5swZTZgwQS+uX6c+ffpEuhxcR4wxWrhwobp27apFixZFupwOKRgMyuPpGE987rrrLuXl5UXs+5vHYv/rPZ7L5ZLD0XIEr8vlUlJSkurq6mSMkWVZMsaovr4+9BqwfxcTE6OEhIRW29TV1SkhIUExMTHh3Tm0KZIUrig2NrZVdxf8d4wxio2NlcvlUkJCQqsTMBBOgUBATqdTbrdbiYmJkS4H15mGhgY5HA7Fx8dz/KFd2batmJiYUGDhgXd0a/63vtZ5PB717dtXhw4dCrVe27atgwcPKjs7+7KhOzExUVlZWTp48GAodAcCAR0+fFj9+/fvEPuNfyIFAAAAAECYOBwOTZ48WTt27NCBAwdkjNEHH3ygt956S5MnT5bD4ZAxRocOHdK+fftk27acTqcmT56sN998U5WVlTLG6L333tPevXtVWFgY6V3CF0RLNxBGLpeLngKIGLfb3WJMGdCePB4PrYyIiI7S+onrh2VZys/P1+bNm1VUVKQhQ4bovffe09e+9jUVFBSEuo6XlpbqxIkT2rhxo2JiYvTNb35T27Zt07333quvfOUreuedd1RYWKhx48Zxfu1gLMOb1YGwMMbo1KlTamhoUJ8+fTg5ol01P0Xv3LmzunTpEulycJ3x+/06ePCg+vfv32HGhiI6GGP00UcffTYRbEYG115cM4wx8nq92rlzp44fP64bb7xRt956q+Li4kKh+x//+IcuXryoCRMmyOl0yhijxsZGVVRUqLq6Wr169dKIESPkdrs5tjsYQjcAAAAAtJPLTcB2peXN6wjaHRehGwAAAACAMGEiNQAAAAAAwoTQDQAAAABAmDB7OXCVjDGybVvGGDmdTlmWJZ/Pp/379+vAgQNyOBwaNGiQvvzlLzObKtqcbduqrq5W586dFR8fz3gvtDtjjPx+vz7++GN9/PHHqq+vV1xcnDIzM5WZmanY2FiOS4SFMUbGGNXU1OjIkSM6efKkfD6fkpKSlJWVpd69e3NeBHBNYEw3cJVs29avfvUrOZ1OzZs3T42NjSouLta6desUHx8vSfL5fJozZ44WL14st9sd4YoRTbxeryZMmKBLly7pnnvuUX5+vrKyskIPgIBwMsZo586dKikp0a5du1RXV6dAIKDY2FglJydr+PDhevzxx5WTk8PxiDbX2Nio5cuXq7y8XGfPnlVcXJycTqf8fr8CgYAGDBigxx9/XOPGjZPDQedOAJHDGQi4SsFgUG+88YZ69+4tSdq0aZO2bNmiVatWaceOHaqoqFBZWZnWrVun7du3R7haRJvm14nEx8ertLRUubm5Kioq0muvvaaamhrZth3pEhGljDGqrKzU9OnT1bVrVz377LNas2aN5s6dq8zMTP3iF7/QwIEDNX36dO3duzfS5SLKGGP0/PPPa9WqVVqwYIH+/ve/q6KiIvTZsGGDcnJy9OCDD+rAgQORLhfAdY7u5cBVag49X/rSl2RZlnbu3KnvfOc7ys/PD7XsTJkyRXv27FFFRYXGjh1Liw/aVGxsrJYtW6bk5GT95S9/0UsvvaQHHnhA3bp106RJkzR16lTdfPPNvNcTbW7Lli0aPHiwfv3rXys2NlaSNGnSJBUXF+vYsWN66qmnlJiYqLKyMq1YsUJOpzPCFSNa+P1+bdy4UUuXLlVBQUGrc1vPnj2Vk5Oj8+fPa+vWrbr55ps5/wGIGFq6gavkdDqVlZWliooK2batzp07q76+Xv86csO2bdXX14duSoG21nwczp49W5s2bdLmzZtVWFio119/XXl5eZo0aZKOHz8e6TIRZerq6tSjR4/QuG3LsuR0OtWzZ09VV1fL4XBo/PjxOnr0qPx+f6TLRRQxxigYDCouLu6y6y3LksPhUFxcnC5dutTO1QFAS7R0A1fJ4XBo+vTpmj17tmJiYjR06FD94Ac/UHJysnJzc2WM0datW0MtkDxpRzhZliWPx6OhQ4dq6NChWrhwoSoqKvTKK6+ooaEh0uUhygwePFgLFy5Ufn6+Bg8eLMuy9OGHH2r16tWaOXOmpM/G3bpcLs59aFNut1tjxozRY489Jq/Xq2HDhikhIUEOh0PBYFBnz57V66+/rj//+c9at25dpMsFcJ0jdANXybIsjRo1SqWlpfrRj36kqqoq1dbWavHixfJ4PHK73crKytLTTz+tW265JdLlIso0t+ZcbrkkpaSk6I477lBeXl57l4YoZ1mWxowZo69//eu6++67lZaWJqfTqerqan31q1/V1KlTJUn79u3TsGHD6OmDNvfwww/r3Llzmj17towxSklJkcvlUlNTk2pra5Wamqonn3xSw4YN46EPgIhi9nKgjRhjVFdXp/379+vIkSNqaGhQUlKSevfurYEDByo5OZmLPtpcMBjU7t27NWDAACUlJUW6HFxnjDHy+Xx66623tHPnTgUCAd1yyy0aO3Zs6HhsamqSw+GQx+OJcLWINs1dzCsrK7Vv3z5VVVXJ5/PphhtuUHZ2toYMGaIuXbpw7QUQcYRuAAAARJXm21sCN4BrAd3LgTZgjFEgENCpU6cUCASUlpamuLi4Fhf706dPKxAIqHv37twEoE0ZY9TQ0KAzZ87I7XaHuvk2H2fGGH344YfKyMhQQkJChKtFtLFtWzU1Naqrq1NKSopSUlJanOOamppUVVWlPn36MHs52pQxRvX19aqsrFR8fHzo1Z07duzQ+++/r169eik3N7fV9RgA2huzlwNtoK6uTvPnz9fIkSOVk5Oj/Px8/e1vf1MwGAz9zIsvvqgVK1ZEsEpEI2OM9u3bp4kTJyonJ0cjRozQ3LlzVVVVFWrpCQQCmj9/Pu+qRZsLBoNatWqVRo8ereHDh2v06NFavny5GhsbQ8ff0aNH9eCDD8rr9Ua4WkQTY4xOnDihwsJCjR07Vrm5ufrJT36i8vJy3XPPPSotLVVRUZEeffRRZs4HEHGEbuAqGWNUXl6u7du366c//al+85vfqFOnTrr//vv1u9/9ToFAQNJnN6fNfwbaSlNTkx599FGlpaXphRde0A9/+ENVVFRo6tSp2r9/fyj4+P1+2bYd4WoRTYwx2r9/v0pKSlRUVKS1a9fqzjvv1I9//GN9//vfV21trYwxsm1bPp8v0uUiCj377LOKiYnRa6+9pjVr1mjLli165plnVFZWpl27dukPf/iD3njjDe3Zs0eMpgQQSXQvB65SIBDQ1q1b9eSTT2rKlCmSpDvvvFPPPfecHnvsMdXV1WnOnDkRrhLRqrq6WmfOnNELL7ygbt26SZImTpyoBQsW6L777tNvf/tbDR06NMJVIlpt375dt912m4qLi+VyuZSXl6cJEyZo3rx5mjt3rn75y19GukREKZ/Pp3fffVeLFy/W6NGjJUkffPCBNm7cqPz8fMXGxio3N1e33Xab3nnnHY0aNSrCFQO4ntHSDVwlY4yampqUkZEhy7JkWZbi4+O1YMECLV26VKWlpXr66afpWomw8Pl88ng86tSpU+j4y8zM1MqVKzVq1CgVFRVp27ZttHIjLC5evKj09PTQWG2n06lx48Zp/fr1Onz4sKZPn66TJ09GuEpEI9u2ZYxpce5LS0sLzWkhSQ6HQ926dVNtbW2EqwVwvSN0A1fJ6XSqR48e2rdvX4vuay6XS9OmTdNzzz2nlStXauXKlXRvQ5vr3Lmz/H5/i2BjWZY6deqkn//85yosLNSsWbN0+PDhCFaJaJWVlaX3339fly5dCi2zLEuDBg3S+vXrdeHCBc2bN4/u5WhzMTExcrvdqqysDC3LycnRjBkz5HB8dnsbDAb10UcfKSMjI1JlAoAkQjdw1RwOh8aPH68//elPampqarWuoKBA5eXlcrlccrvdEaoS0apLly7q37+/Nm7c2OKhjmVZSkxM1FNPPaXvfve7MsYwczTalGVZGjFihKqqqlo91LEsS3379tXvf/973XTTTYqNjWX2aLQpl8ulsWPHqqqqKtSTJysrS6NHjw4da8ePH9ehQ4c0atQojj8AEcV7uoE24PV6VVNTo7S0NLlcradKMMbo5MmTcrlc6tq1Kxd/tBljjC5cuKBgMKjU1NRWx1bz6+yaW3vi4+MjVCmikW3bOn36tG644YbLvo6u+ZVO586dU1ZWVqgFErhaxhgFg0EZY+RyuS57Xb148aI+/fRTZWRk8NARQEQRugEAAAAACBMeOQMAAAAAECaEbgAAAAAAwoTQDQAAAABAmLSe8QkAgCj379OZWJbVavZ3AACAtkBLNwAg6hhj5Pf75fV6W318Pp9s29bLL7+s8vJyBYNBSdKZM2e0ZMkSHTx4MMLVAwCAaEJLNwAg6vj9fs2cOVN79+5ttS49PV2rV6/WK6+8ohMnTmjatGlyuVw6ffq0lixZon79+mnAgAERqBoAAEQjQjcAIOrYtq2jR4+qoaFBc+bMUUxMTGhdUlKSEhISVFRUpPr6erlcXAoBAED4cKcBAIha6enpmjdvnuLi4losN8ZozJgxMsbI4bjySCvbtvXJJ5/o6NGjCgaD6tmzpzIzM+V0Olv8zKlTp1RZWSm/36/U1FT17t1bSUlJjA8HAOA6R+gGAFx3bNtWcXGxqqurtX79esXGxl7257xer5YvX66ysjLV1dVJkjwej2bMmKFFixYpLi5Otm1r1apVKikpUW1trSzLksvlUr9+/fTyyy+rS5cu7blrAADgGkPoBgBErZqaGr366qstQvXAgQOVnZ2tmpoanTlzptVM5s2MMSovL1dpaakWLVqkiRMnyul0asOGDSopKVH37t01c+ZMVVdX64knntD48eP1yCOPKCUlRWfPntXu3btbtIYDAIDrE6EbABC1jh49qkceeSTUxduyLBUXFys7O/s/bnv+/HmVlZXp/vvv1/z580Pd0B966CHt2rVLa9eu1be//W3V1taqtrZWeXl5GjhwoCSpR48eGjx4cNj2CwAAdByEbgBA1BoyZIheffVVeTye0LJ/H9/9eaqqqnTs2DFt27ZNhYWFLVrEDx8+rEAgIJ/Ppx49emjQoEFavHix9uzZo9GjR2vIkCHq0aPHfxwvDgAAoh+hGwAQtVwul1JSUloF7eZ3c19JXV2dgsGg0tLSdOONN7ZYl5mZqZSUFLlcLsXHx2v16tV6/vnntW3bNq1Zs0ZOp1P33XefnnjiCSUlJbXpPgEAgI6F0A0AwGV06tRJMTExuuOOOzR//vwrzkLeq1cvlZSUyOv1qrq6WqtXr9ayZcs0aNAgTZs2rR2rBgAA1xr6vQEAcBmZmZnq37+/XnzxRZ07dy7UvdwYo2AwqNraWhlj1NTUpMbGRlmWpfj4eGVnZ2vmzJlKTEzUsWPHIrwXAAAg0mjpBgDgMm644QYVFxdr1qxZmjZtmmbOnKnu3bvr1KlT+utf/6qUlBQtWbJEe/bsUUlJie666y4NHDhQgUBA69atk8/n04gRIyK9GwAAIMII3QCAqONwOEIziX/eZGb9+vVTcnJyaH1CQoJuvfVWpaamSvpspvPCwkK53W4988wzeuihh+T3+5WcnKyRI0dqxowZkqT09HQlJCToZz/7mS5cuCCn06mMjAwtW7ZMY8eObYe9BQAA1zLLfN4LSgEA6KCMMbJtW9Jnofvfx2Nfbn3zMsuyWgR1Y4y8Xq/OnTsnv9+vxMREpaamyul0hrYLBoM6f/686urq5HA4lJqaqqSkpCuOAwcAANcHQjcAAAAAAGHCRGoAAAAAAIQJoRsAAAAAgDAhdAMAAAAAECaEbgAAAAAAwoTQDQAAAABAmBC6AQAAAAAIE0I3AAAAAABhQugGAAAAACBMCN0AAAAAAIQJoRsAAAAAgDAhdAMAAAAAECaEbgAAAAAAwoTQDQAAAABAmBC6AQAAAAAIE0I3AAAAAABhQugGAAAAACBMCN0AAAAAAIQJoRsAAAAAgDAhdAMAAAAAECaEbgAAAAAAwoTQDQAAAABAmBC6AQAAAAAIE0I3AAAAAABhQugGAAAAACBMCN0AAAAAAIQJoRsAAAAAgDAhdAMAAAAAECaEbgAAAAAAwoTQDQAAAABAmBC6AQAAAAAIE0I3AAAAAABhQugGAAAAACBMCN0AAAAAAIQJoRsAAAAAgDAhdAMAAAAAECaEbgAAAAAAwoTQDQAAAABAmBC6AQAAAAAIE0I3AAAAAABhQugGAAAAACBMCN0AAAAAAIQJoRsAAAAAgDAhdAMAAAAAECaEbgAAAAAAwuR/AdhUc7OziHWuAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "!ls {dest_path}/raw_traces/*.csv | trace_pearsons --pipe -O {dest_path}\n",
    "\n",
    "# Display the updated correlation matrix\n",
    "img = mpimg.imread(f\"{dest_path}/trace_correlation_matrix.png\")\n",
    "fig, ax = plt.subplots(figsize=(10, 10))\n",
    "ax.imshow(img)\n",
    "ax.axis('off')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-10",
   "metadata": {},
   "source": [
    "## Step 5: Merge trace files"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "cell-11",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------- Running trace_merge.py --------\n",
      "This script will merge trace tables provided as inputs.\n",
      "\n",
      "Number of trace files to merge: 4\n",
      " $ Merged trace file will contain 94893 traces\n",
      "Read and accumulated 4 trace files\n",
      "$ Saving output table as /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/output/merged_traces.ecsv ...\n",
      "Finished execution\n"
     ]
    }
   ],
   "source": [
    "!ls {dest_path}/raw_traces/*.csv | trace_merge -F {dest_path} -N merged_traces.ecsv"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-12",
   "metadata": {},
   "source": [
    "## Step 6: Compute basic statistics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "cell-13",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------- Running trace_stats.py --------\n",
      "Compute basic statistics for chromatin trace files.\n",
      "\n",
      "$ Importing table from pyHiM format\n",
      "Successfully loaded trace table: /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/output/merged_traces.ecsv\n",
      "Statistics for /mnt/grey/DATA/users/zidoum/traceraptops/data/Boettiger/Replicate2/output/merged_traces.ecsv:\n",
      "- Number of unique ROIs: 4\n",
      "- Number of unique chromatin traces: 1792\n",
      "- Number of unique barcodes: 70\n"
     ]
    }
   ],
   "source": [
    "!trace_stats --input {dest_path}/merged_traces.ecsv"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-14",
   "metadata": {},
   "source": [
    "## Next steps\n",
    "\n",
    "The merged trace file is ready for downstream analysis.\n",
    "\n",
    "Continue with **Tutorial 2 — Quality Control** to:\n",
    "- Generate detailed quality metrics with `trace_analyzer`\n",
    "- Interpret barcode detection, neighbor distances, and barcode frequency plots\n",
    "- Decide on filtering thresholds for Tutorial 3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-15",
   "metadata": {},
   "source": [
    "## Summary\n",
    "\n",
    "| Step | Script | Output |\n",
    "|------|--------|--------|\n",
    "| Collect | `collect_files` | `raw_traces/` (one .ecsv per ROI) |\n",
    "| Correlations | `trace_pearsons` | `trace_correlation_matrix.png` + `.npy` |\n",
    "| Filter ROIs | Python (numpy) | removed outlier files from `raw_traces/` |\n",
    "| Merge | `trace_merge` | `merged_traces.ecsv` |\n",
    "| Statistics | `trace_stats` | stdout |\n",
    "\n",
    "**Output location:** `data/output/`"
   ]
  }
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