{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# The USDC Depeg\n",
        "\n",
        "*Last modified: November 11, 2026*\n",
        "\n",
        "This notebook looks at how well the two largest stablecoins, Tether’s\n",
        "USDT and Circle’s USDC, have held their one-dollar peg, and at the one\n",
        "weekend when USDC lost it: March 10 to 13, 2023, after the failure of\n",
        "Silicon Valley Bank, where Circle held 3.3 billion dollars of USDC’s\n",
        "reserves. We use daily data on supply and prices, and hourly prices for\n",
        "the weekend itself. The notes on [stablecoins](../notes/stablecoins.qmd)\n",
        "explain the background.\n",
        "\n",
        "## Packages"
      ],
      "id": "d5c2fb05-6010-4215-8b87-23c3d95818b2"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "from pathlib import Path\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "import requests\n",
        "import yfinance as yf\n",
        "\n",
        "DATA = Path(\"../_data\") if Path(\"../_data\").exists() else Path(\"data\")\n",
        "HEADERS = {\"User-Agent\": \"FIN 4506 course notebook\"}\n",
        "\n",
        "def cached(name, download):\n",
        "    \"\"\"Run download() once and save the result; later runs read the file.\"\"\"\n",
        "    file = DATA / f\"{name}.parquet\"\n",
        "    if not file.exists():\n",
        "        DATA.mkdir(exist_ok=True)\n",
        "        download().to_frame(name).to_parquet(file)\n",
        "    return pd.read_parquet(file)[name]"
      ],
      "id": "db0385c5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## How big are stablecoins?\n",
        "\n",
        "DefiLlama tracks the supply of every stablecoin, free and without an\n",
        "account. Its identifier for USDT is 1 and for USDC is 2."
      ],
      "id": "952b89a8-aafd-4fe9-8b9f-d94c46c96e6b"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "All stablecoins    289.5\n",
              "USDT               175.7\n",
              "USDC                70.1\n",
              "Name: 2026-11-11 00:00:00, dtype: float64"
            ]
          }
        }
      ],
      "source": [
        "def defillama_supply(query=\"\"):\n",
        "    url = \"https://stablecoins.llama.fi/stablecoincharts/all\" + query\n",
        "    rows = requests.get(url, headers=HEADERS, timeout=60).json()\n",
        "    return pd.Series({pd.to_datetime(int(r[\"date\"]), unit=\"s\"): r[\"totalCirculatingUSD\"][\"peggedUSD\"]\n",
        "                      for r in rows if \"peggedUSD\" in r.get(\"totalCirculatingUSD\", {})})\n",
        "\n",
        "supply = pd.DataFrame({\n",
        "    \"All stablecoins\": cached(\"stablecoins_total\", lambda: defillama_supply()),\n",
        "    \"USDT\": cached(\"stablecoins_usdt\", lambda: defillama_supply(\"?stablecoin=1\")),\n",
        "    \"USDC\": cached(\"stablecoins_usdc\", lambda: defillama_supply(\"?stablecoin=2\")),\n",
        "})\n",
        "(supply.iloc[-1] / 1e9).round(1)"
      ],
      "id": "e29d5c4f"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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8ebLVJPuXL1/m/vvvJygoiODgYD744APLP8JTp04xcOBAvL29qV+/Pm+++SYGg8Fy7PWv\n0a/1J503bx7t27fHw8ODbt26cfbs2Zs+CyGEEALgQEQyb608wcBPtvHppnOW/UmZefT7eCu9PtrC\n4ciUQo/VG01MWnLAkmj+V89GPkzoWhcwJ5mFzeM8vJX5dfrvB6N49Pt9/Hk4qlRaORVFYe6Gszz2\nw37ScvQlPo9NWzYjIyNZu3YtWVlZdOzYkU6dOlmVp6Sk8Ouvv5KQkEDnzp3p0aPHLZWXljovrSqT\n895I+HtDil3XZDKxaNEiVq5cSYMGDbjjjjv45ZdfePDBB0t07V9++YXffvuNTZs2ERAQwKZNm1i2\nbBnTp0/nxIkTaLVaDhw4QLNmzSzT/URERKAoCnl5eWzevJmxY8fSvHlzS3IK8NVXX/HTTz/h6+vL\ntGnTGD58OAcOHCjwDycvL4++ffvSp08fDhw4gMFgYOLEiTzzzDMsXLiQnJwc+vTpQ8eOHdm5cyca\njYZPP/2Uixcv4uvrS9++fRk1ahSLFy8mIiKCe++9F5VKxRtvvAFY9w+91p90yZIlLFmyBB8fHyZN\nmsS0adNYtWrVDZ+FEEKI6sFgNKHVFN4+l6M38sxPh4hMygbg9JV0Gvq5Yq9Ts+V0HOk55saOdSeu\n0KqWR4Hj15+I5VRMGgB/P9WVWp5OvPrncey1ah7vEUJIDZebxndP2yBmrjoFwMZTcWw8FQfA+VmD\nioz7Zo5HpTL0sx2W7b4fbWX11G7UcLG/5XPZrGXz22+/ZeDAgRw6dIizZ88yZMgQnn76aUt5TEwM\noaGhLF26lMuXL3PPPffw8ssvF7u8Olm3bh0NGjSgWbNmAEyfPp358+eX+HzXWii9vb1xd3dnxIgR\nluTq2itojUaDVqu1JJvXtp2cnBg6dCjDhg3j77//tjrvO++8Q4sWLfDz82PevHkcPXqUQ4cOFbj+\nmjVrSEtL49NPP8Xf35+goCDmzp3LkiVLUBSFNWvWkJSUxMKFC6lduzZBQUHMmTOHkJAQ1qxZg8Fg\n4IMPPsDHx4d27drx+uuvs3Dhwhve87vvvkujRo3w8vLiscces8R1o2chhBCiasvRG6nz0irqz1jD\ni78eLdCFLCPXwEOL9loSzWseX3KA8d/u4/t/Iyz75m0J4++j0Vb1EjNyLf0yR7YJonmgO+5OOj4b\n05oP721JfV9X1Oqbr0jn4WTHkTf6WwYMXfO/61pZb0WewWSVaALEpecyeelBcvSFt8DeiM1aNtu2\nbcvRo0ctycvw4cMZMGAAb731Fp6ensycOZNatWqxadMm1Go19913Hz169ODRRx+lXr16Ny0vTbfS\nymgLCxYsYMOGDWi1+f85jUYjJ06csCSgt2LkyJFERUUxfPhwFEWhW7duTJs2DX9//yKP+fDDD1m0\naBGRkZHk5ORgMpnw9va2qlO/fn3LZ3d3d2rUqMHly5dp06aNVb0LFy4QHR1dYBUeo9FIbGws4eHh\nhISEYG9f8LeryMhI6tata/UsGjRoQHR0NEajscj+mn5+fpbPjo6OZGVllfhZCCGEqPwycw30um4k\n+E/7I9lzMZH103pgpzU3tEz4bh97w5Pwd3PguwntCU/I4psdF9kbnlToOWesOI5JgS1n4thzIYmo\nlPwkdVKPkNuK191Rx9zRrZg7uhXTfzrM74ei+GzzedaduMKKyV1wtr9xypedZ+Tzf86Rlm2wtLQC\ntKrlQce6XszfdoG9F5N45Pt9LHmk4y0ty2yzls3Q0FCrH/xarRadTmdpKVu7di2jR4+2bHft2pXA\nwEA2bNhQrPLr6fV6srOzrb6qiujoaLZu3UpmZiY5OTmWr1mzZrFgwYISnVOlUjF16lR27tzJpk2b\n0Ov1jBw50qr8euvWreP9999n0aJFxMTEkJOTw5gxY6z6SQJcvHjR8jk9PZ3ExEQCA61/CwMIDg6m\nXr16VveTk5ODXq/H39+f4OBgLl68iF5fsP9IYGAgly5dwmTKn28sLCwMf3//Eg0MutmzEEIIUTVt\nPBVLXHqu1b7wxCwavrqGxf+Gc+xyKnsvmpPKN+5sSmN/NwY29+fHxzrx8B11uKOeN0/3rs/sES3Y\n8WIvdBoVqdl6nl5+iN8PRlklmnfU86ahn2upxf7+PaG4OpiTy7OxGbz5141nkAmLz+C+Bf/yxT9h\nLN4dwf6IZMDc2vrHk114eXATXh3SBICd5xP5aV/kLcVj0wFCly5d4s033+Tpp5/m6aef5uuvv8bd\n3R0wt1AFBQVZ1Q8KCiIyMrJY5debNWsWTk5Olq//trhVZosWLaJnz544Ojqi1WotX0OGDOGHH34o\nUWL9xRdfsGDBAuLj4wHQ6XSkpqZayv39/Tl27JhlOy0tDZ1Oh7+/P/b29qxevZoVK1YUOO+bb77J\n+fPnSU1N5ZlnnqFx48a0bt26QL1BgwYB8Morr5CUlEReXh7btm3j8ccft5Q7OzszefJkYmNjSUhI\n4I033uDixYsMHDgQo9HIa6+9RkZGBsePH2fmzJmMHz/+lp9DcZ6FEEKIqudiQiZTfzwMwNN9GhD+\n3hAmdKlrKX/tzxO89udxAOy1avo2zX87plareHNYM5ZN7MT0/o0Y0yGYIE8n7mxZs9BrfTu+Pcsm\ndiq0rKR0GjU/TOhg2f7lwGXLpPBbz8Zb9uuNJp775Qh9PtrKkcvWP9t6NPThw3tDLduPdK3LwGbm\nt3ov/X6MrDzrBqUbqTCj0XNyctizZ49Vf4j/tqBdv1xTccqvmTFjBllZWZavxMSCs+9XRtcGBl1L\nzq7XsmVLnJyc+OWXX275vKNHj+bw4cM0b94cb29vdu7cyXfffWcpnzlzJtOmTbOMRr/77rsZMGAA\noaGhuLu7M3/+fAYPHlzgvGPHjuXOO+8kICCAsLAwVqxYUega9E5OTmzatIlLly5Z+ni+9957PPbY\nY5byjRs3EhcXR5MmTWjRogU6nY7atWvj7u7O2rVr2b59O35+fgwYMIC7776b119//ZafQ3GehRBC\niKolR2+0en3e/2oi+cLARlb1ro0u/33yHeiKMQjnnrb5DWTzxrYh/L0hhL83hF6NfG8/6EK0DvZk\nwYNtC+wf981ey2pDfx2O5tcD+dMsvTyoMedmDWLTsz34bnz7AjnX5/fnNxAdjEgpdiwqpYJMmBgX\nF0dQUBB///03/fv3p169ekydOtVq0FBwcDCvvPIKjz/++E3LbyQ7OxsnJyeysrJwdHS0KsvNzeXC\nhQtF9gmsaAwGAxqNptAk22g0olKpUKvVBfor3qj/YnFde1VdWML43zKDwWDVj7KwWMtr/sv/Xquw\n2EoST2X7uyOEEKKgb3Zc5O2/zYujvHFnU8Zf16IJ5r6cE77bx56LSfi62rP75T7FGsQD5kTWQVe+\ncz1Hp2Rzx3ubb1jnuf4NebJX/WL1w5z590m+3nGR+9rX4o3BDYrMp65ns5bN/45CNhgMmEwmdDod\nAAMHDuSnn36yJC07duwgKiqKfv36Fau8utBqtUX+5dBoNFajxf9bdrvUanWhiWZhZTdKNEsrnuL6\n77UKi00mfhdCiOrpyOUUADrU8SqQaAI422tZNrET79zVjCWPdix2ogmUe6IJUNPD0dKK+t6IFgXK\n6/k4M7Zj7WIP+Lm3XS0A1p64Uuz12G02Gn3OnDkkJSXRsmVL0tPT+eOPP7jzzjvp1q0bAK+++iod\nO3akT58+NG/enB9//JEXXnjBMtL8ZuVCCCGEELfq2NW+i6/f2bTIOhq1igc71ymniErPPW2DSMzM\nIzwhk5RsPWM61KJ3Y7+bH3idhn4u1Pd14XxcBvuLGHX/XzZLNpcvX87OnTvZvXs3derU4eGHH6Zj\nx46W8oCAAI4ePcovv/xCYmIiv/zyCz179ix2uRBCCCHErUjOzONCQiZ2WjWN/EtvdHhFodWoebJX\n/ZtXvAGVSkW/pn6cj8vgj8PRNz8AG68g1KVLF7p06VJkuYeHBxMnTixxuRBCCCFEcX2y0bxUcasg\nj2IN+qmu+jbxZd6WMP44FFWs+vIkhRBCCFHtXUrMYvFu84o/Lw5qdJPa1VurWp7U9nYqdn1JNoUQ\nQghR7X2y8SwmBXo18qFtbS9bh1OhadQqXhjQuNj1JdkUQgghRLWWnqNn5dV1y+9uE3ST2gKga/0a\nvDy4SbHqSrIphBBCiGptx7kE9EaFmu4ODG0RYOtwKgV3Jx0P31GnWHUl2RRCCCFEtWUwmvhg3RkA\nRrYNuqV5M0Xx2HQ0uhBCCCGEraRm61l5JJoLCZkAPNi5to0jqpok2azkTCYT0dHR+Pr6YmdnZ9lv\nNBqJiYnBz8/PsirTNenp6djZ2RVYUjEmJsayxKWzszMeHh5W5Xl5ecTFxRUZi729PT4+Prd/U0II\nIUQ5uPerXZyNzQBgROtAfF0dbBxR1SSv0Su5pKQkatWqxcGDB632x8TEUKtWLU6cOGHZ9/PPPxMS\nEkJAQAB+fn706tWLXbt2WcpbtGhBaGgoHTt2JCQkBA8PD0aMGGFZWvTIkSN06tTJ8lWnTh1atGhh\n2X7kkUfK56aFEEKIUnAt0YT8ZRhF6ZNks5q4cOECY8eO5fXXXyc9PZ3ExETefvttVq9ebVXv008/\n5fLlyyQlJXHq1CkCAwPp3Lkzu3fvpn379ly+fNnyFRQUxOzZsy3bf/31l43uTgghhLg1SZl5ls8j\n2gTSuZ63DaOp2uQ1ejVx6tQpVCoVDz30ECqVCo1GQ7du3Sxr0RcmICCAzz77jGPHjvHqq6+ycePG\ncoxYCCGEKDvTfz5s+Tx3VCubxVEdSLJZHG+62+CaqaV6ug4dOuDm5sYDDzzAuHHjaN26Nb6+vsU6\ndtiwYbzyyiulGo8QQghhK8mZeWw5Ew9A4yq4BnpFI6/RqwkfHx8OHTpErVq1eO211wgJCSE0NLTA\na/TC+Pv7k5ubS15e3k3rCiGEEBVdVEo2AIEejqyZWvQbPlE6pGWzOEq5lbE0OTiYR87l5ORY7b+2\nfa0coFatWrz//vuAeWT5hx9+yN13383Zs2epXbvo6R7Cw8Px8PCwGu0uhBBCVFbrT8YC0LKWOyqV\nzKtZ1qRls5JzcXHB39/fatQ5wLFjx9BoNNStWxcwT4V0PTs7OyZNmkReXh5nzpwp8vw5OTl89913\nDB48uPSDF0IIIcrZxpOxfLrpHACDZbWgciEtm1XA1KlTmTVrFv7+/oSGhnL+/HleeOEFHn/8cctc\nmmvWrGHevHk8+uijNG3alPT0dD766CO8vLxo27at5VzJyclcvnyZnJwcjh8/zkcffUROTg6zZ8+2\n1e0JIYQQpeJARBKP/rDfst062NOG0VQfkmxWAS+++CK+vr588cUXREZGEhAQwBNPPMFTTz1lqTN0\n6FC0Wi0LFy7kxIkTODg40KpVK7Zu3Yq3t3m6h5o1a/L+++8zZ84cnJycCA4OZujQoTz++OO4uxcc\nJBUQEICLi0u53acQQghxOzaczF+YpLG/K4EejjaMpvpQKYqi2DqI8padnY2TkxNZWVk4Olr/RcvN\nzeXChQuEhIQUWGFHiBuRvztCCFGxPfr9PjaeimNyz3pM7BaCp7OMRbgdN8qnrid9NoUQQghRLZyL\nM68YNLx1oCSa5UiSTSGEEEJUebvOJxCRmAVAHW9nG0dTvUiyKYQQQogq74FFeyyf7bSS/pQnedpC\nCCGEqNLOx6VjujpC5fsJHWwbTDUkyaYQQgghqqzsPCMPfL0XgGEta9KjoY+NI6p+JNkUQgghRJVk\nMin0+nALV9JysNOoeW1oU1uHVC1JsimEEEKIKmn+tgtcSTMv3/zJfa3wcZVp6WxBkk0hhBBCVEk7\nzycA0L6OpyxNaUOSbAohhBCiyknOzGP3hUQ0ahXzH2xn63CqNUk2hRBCCFHlzNsahsGk0K1BDbxk\nAnebslmyefnyZZ566imaN29Oy5YtmTZtGsnJyZbyefPm4e/vb/X1yiuvWJ1j6dKltGvXjjp16jBm\nzBiioqLK+zZsTq/Xs2XLFtLS0qz25+bmsmXLFjIyMqz2Z2RkcPjwYc6cOYPJZLIq27lzJ1u2bGHr\n1q3s37+f+Pj4G147OzubgwcPcujQITIzM0vnhoQQQohS8Odhc07wVO8GNo5E2CzZfPTRR2nSpAk/\n//wzCxYsYPv27YwZM8ZSnpmZSdOmTTl8+LDl6+WXX7aUr169mokTJzJ9+nT+/vtv8vLyGDx4MEaj\n0Ra3YzOpqan06tWLkydPWu2Pj4+nV69enD9/3rJvzpw5+Pv789BDDzFy5Ejq16/PL7/8Yim/6667\neOKJJ3jjjTeYPHkyDRo0IDQ0lD///NPq3Dk5OUydOhVvb2/uueceHn30UYKCgpg4cWKB5FYIIYQo\nb3PWniY2LReANsEetg1GoLXVhVevXo1anZ/rvvnmmwwfPhyDwYBWaw7Lzs4Of3//Qo//3//+x4MP\nPsj9998PwIIFCwgICOCff/6hb9++ZX8Dlczx48d58cUX2bp1K927dwfMrcsrV660qjdjxgweeOAB\nwNxq+sUXX3D33Xfz119/MXToUADGjRvH4cOH+ffff2nZsiUARqOR7777jsTERFxcXMrxzoQQQoh8\nuQYjX24Js2yrVCobRiPAhi2b1yeaAAcOHCAkJMSSaALs3buXkJAQWrduzbPPPmv1mn3//v106dLF\nsu3t7U2jRo04cOBAgWvp9Xqys7OtvqqbyMhIdDodHTt2tOwLCgriiSeeKPIYnU7HM888w/Dhw5k5\ncyYAx44d4+eff2b+/PmWRBNAo9HwyCOPULt27bK7CSGEEOIGFEXhzb9OWLaf6l3fhtGIa2zWsnm9\nnTt38sEHH/DTTz9Z9k2ePJkHHngAk8nEuXPneOGFFxg2bBhbt25FrVaTmpqKp6en1Xm8vLysEtJr\nZs2axVtvvVXi+Fp836LEx5bUsXHHSvV8Xbt2pU6dOvTp04cxY8bQpk0b2rVrh06nu+mxvXv3Ztq0\naSiKws6dO7G3t7e0jgohhBAVgcmk8MJvR/n1wGUAnh/QiCd7SbJZEdh8NPr27du58847mTdvHkOG\nDLHsd3Jywt/fn5o1a9KjRw+WL1/Ojh07OH36tKU8PT3d6lxpaWk4OzsXuMaMGTPIysqyfCUmJpbt\nTVVArq6uHD58mHHjxrFz504mTJiAj48P8+bNu+mxHh4eGAwGDAYDWVlZuLq6FmiZFkIIIWwhz2Ai\nLUdPr4+28OuBy6hVMGNwEyb3rGfr0MRVNm3ZXL9+PaNGjWLhwoXce++9N6zr5uYGYHkF3rx5c44c\nOWLps5mdnc358+dp1qxZgWN1Ol2xWvCKUtqtjKXJ2dkZlUpVYDT4tYE61/efdHJyYuLEiUycOBGA\n5cuXM3bsWHr16kXjxo2LvMa5c+fw8/NDp9NRp04dEhISSE5OLtCyLIQQQpSn83EZ9J271Wrfh/e2\nZESbIBtFJApjs+apP//8k1GjRrFkyZJCE83nn3+ec+fOAZCSksLUqVOpU6cOzZs3B+Dhhx/mm2++\n4eTJkxiNRt555x1cXFwYOHBgud6HrTk6OlK7dm327dtntX/v3r04ODhQp04dANLT0wtMddS7d28U\nRbnhlFFJSUnMnz+fkSNHAtC/f39q1KjB+++/X6CuXq8nJyfnNu9ICCGEuLlTMWkFEs0QH2dJNCsg\nm7VsPvHEE+Tk5PDoo49a7T906BABAQH06NGDESNGEBERQV5eHt27d2fVqlXY25vXNZ04cSLnzp2j\nbdu2ANSuXZs///wTJyencr8XW3vzzTd56qmnUKlUhIaGcv78ed5++21ee+01y4Crffv28fTTTzNu\n3DiaNm1Keno6n3/+OXXr1rUaNHTq1Cm2bNlCTk4Ox48fZ968edSuXZtZs2YB5pbSpUuXMmLECMLC\nwrjrrrvw8PDg1KlTfPvtt6xcuZJ69eTVhRBCiLL15NKDls/fjm+PWqWisb+rDSMSRVEpiqLY4sLx\n8fGFzonp6+tr1R8wIyMDJyenIvsI6vV6MjMz8fDwKPa1s7OzcXJyIisrC0dHR6uy3NxcLly4QEhI\niCWxrQy2bt3K0qVLiYyMJCAggOHDhzNs2DCrOmfPnmXRokWcOHECBwcHWrVqxcSJE/Hz8wPM82ym\npqaiUqlwcnIiODiYvn37Mnz4cDQajdW5IiIi+Prrrzl8+DBqtZqmTZvy2GOPUbdu3XK754qmsv7d\nEUKIyuRARDKv/XGckzHmxUw2P9uDEB+Zcs8WbpRPXc9myaYtVcVkU9ie/N0RQoiylZajp8t7m0nP\nMQDwzvDmPNhJptyzleImmxVi6iMhhBBCiKLk6I046DTMWHHckmiumHwHrYNloGplIMmmEEIIISok\ng9HEjBXH+Wl/pNX+j+5tKYlmJSKTJQohhBCiQtp8Oq5Aovlo17qMbCsjzisTadkUQgghRIV08FKK\n5XPfJn70aeLLqHa1bBeQKBFJNoUQQghR4SiKwqpj0QAsm9iRO+rVsHFEoqQk2SzCfydAF+Jmrv2d\nUalUNo5ECCEql/QcPSei0/B0ssPTSYevmwMnotOITMrG19WejnW9bR2iuA2SbP6HnZ0dGo2G6Oho\nfH190el0kjyIG1IUBb1eT1xcHBqN5raWRhVCiOpo+s9H2HAyFgAfV3vWTO3GWytPANCniS8atfwc\nrsxKJdk0Go0cPHiQhg0b4u7uXhqntBmVSkXdunWJiYnh8uXLtg5HVCLOzs4EBwfLLydCCHELjl1O\ntSSaAPHpubSbudGy3buxny3CEqWoxMnm+PHjGT9+PN27d2f8+PEsX74cX19fDh06hK+vb2nGWO50\nOh21atXCZDJhMBhsHY6oBLRaLWq1WhJNIYS4BanZeu78fIdle2qfBizcfoGsPPMKg62DPejZyMdW\n4YlSUqJkc+/evZw9e5bu3buTlJTEsWPHyMjIYOzYsSxbtoxnnnmmlMMsfyqVCo1GU2CZRiGEEEKU\njuvXN9/5Um8CPRwZ3CKAD9adZnyXunSpL4OCqoISJZunTp2iYcOGAPz7778MHToUe3t7unbtyqVL\nl0o1QCGEEEJUDTGp2Xy1JYxJPeox+NPtpGTpAdgwrTuBHublDhv5u/L1uPa2DFOUshIlm8HBwezc\nuZO4uDgWL17M+PHjAQgLC6NJkyalGqAQQgghKr9/wxIZs3A3AN//G2HZ/3iPejTwc7VVWKIclGgF\noR49ehAcHIyfnx+XL1+mb9++JCYmsn79eu6///7SjlEIIYQQlZTJpPDxhrOWRPN6WrWKaf0a2CAq\nUZ5UiqIot3rQ4cOHiY2NpV27dnh5eaFSqUhNTSU9PZ2goIq/hFR2djZOTk5kZWXh6Oho63CEEEKI\nKuv6Fs1AD0eiUrItZZuf7UGIj4utQhO3qbj5VIleo585c4b169czYMAAyz53d/dKP+2REEIIIUrX\nxlPmaY2Ghgbw+f1tyMg18OfhKLo38KGWl5ONoxPloUSv0Tt06MDevXvJy8sr7XiEEEIIUYWExWcA\nMKxlTQBc7LWM7VhbEs1qpEQtm8nJydjb29O2bVuGDBmCi0t+E3jbtm0ZNGhQqQUohBBCiMorKtn8\n2jzIU5LL6qpEyWZ8fLylb+bp06etymrUkDmxhBBCCAEX4jM4F2du2Qz0lDES1VWJks0BAwZY9dcU\nQgghhLhearaecd/uBaB5oBvujjobRyRspUR9NoUQQgghbuTxxQeITMrG382Bb2SS9mqtxMnmqVOn\nuP/++2nWrBkBAQH4+/vj7+/Piy++WJrxCSGEEKKSuZycxb8XEgH4elw7fN0cbByRsKUSJZvJycn0\n7t2bkJAQ+vbtS7t27Xj22WfRarUyqbsQQghRzV2IzwSgc4g3zQNlWsTqrkTJ5o4dO2jWrBkzZ86k\nadOmBAQE8Pzzz3PnnXeye3fBFQKEEEIIUX1cSsoCZFCQMCtRshkdHU29evUAcHV1JS0tDYBGjRpx\n8uTJ0otOCCGEEJWKoijMWnUKMK8YJESJkk1FUVCpVAA0a9aMbdu2cerUKdasWUPNmjVLNUAhhBBC\nVB4XEjLJ1hsBGNTC38bRiIqgRFMfNW/eHE9PTwBatmzJgAEDaNasGY0bN2bChAmlGqAQQgghKr70\nHD1Ldl9izjrz/NuN/Fxp7O9m46hERaBSFEUpjRNlZWXh5HRrqwNkZmZy6NAhNBoNoaGhODs7W5Ur\nisKBAwdISEigdevW+Pn53VJ5UYq7cLwQQgghbiw6JZuXfj/GtrPxVvvnjAxlVPtaNopKlIfi5lMl\natkszK0mmnPnzmXu3LmEhISQnp7O5cuXWbx4MQMHDgTMiejgwYM5f/48devW5ciRI3zxxRc89NBD\nxSoXQgghRNnaeT6BsV/vKbC/Y10v7m4TaIOIREVUrGRz3759/Pnnn8U6YYcOHRg2bNhN67m5uXHy\n5Enc3MxN7C+//DITJkwgOjoagDlz5hAbG8vp06dxdXVl2bJlPProowwaNAgfH5+blgshhBCi7By6\nlMyE7/YV2H/0zf64OchqQSJfsQYIpaamcv78+WJ9xcfH3/yEwKOPPmpJNAE6duxIYmIiBoMBgN9/\n/51x48bh6uoKwH333YezszNr1qwpVrkQQgghys6CbRfINZjo28SPo2/254563gwNDZBEUxRQrJbN\nvn370rdv3zILQlEU5s+fz5AhQ9BqzSGdP3+e+vXrW+qo1Wrq1q1LWFhYscqvp9frLUksmPsYCCGE\nEKLkdpxPAOC1oU1wc9CxbGInG0ckKqoKsTb6U089RVhYGPPnz7fsMxgM2NvbW9Wzt7dHr9cXq/x6\ns2bNwsnJyfLl7e1dBnchhBBCVA+HI1NIzzHgoFMT7HVrYzZE9WOzPpsAJpOJxx9/nJ07d7J161ar\nvpa+vr7ExsZa1Y+NjcXX17dY5debMWOG1Zrt2dnZknAKIYQQJfTdzosAtAn2tMy7LURRipVsXuuz\nWRx169YtVj2DwcDDDz/MyZMn2bp1KzVq1LAq79atG2vWrGHixIkAhIWFce7cObp161as8uvpdDp0\nOulDIoQQQtwuk0nhnzPm8Rlv39XcxtGIyqDU5tm8Vffddx9r167lf//7H+7u7pb9AwcOxMHBgWPH\njtGpUyceeeQRWrZsySeffEKDBg34/fffAW5afiMyz6YQQghRMq//eZwf/o2gprsDO1/qLS2b1Vhx\n86nbSjbj4uI4cOAAeXl5hIaGFrtVE2D8+PEkJycX2L9o0SLLK+5jx47x1VdfkZiYSKdOnXjiiSes\n+mnerLwokmwKIYQQt+5IZAp3fbETgNHtavH+PaE2jkjYUpknmwsXLmTq1Kmo1Wrs7OxITU3l2Wef\nZc6cOSUOurxIsimEEELcGkVRaD9rIwkZeQD8+nhn2tXxsnFUwpbKdAWh8PBwpk2bxuLFixk5ciRg\nHkQ0dOhQevfubVkFSAghhBBVw/GoNEui2aGOlySa5cmQC1tmgz4bdE6gz4KL2yDuJLR/FLo/D67+\nto6ySCVKNvfu3cuAAQMsiSZA+/btmTJlCtu3b5dkUwghhKhizsSmWz5/NKqlDSOphta+DPsXFV62\n72s4uBgm/wve9co3rmIqUbLp4OBAampqgf1paWlWqwIJIUR1l5CRS3qOgV4fbkGlgse6hfBI17r8\ncuAyfx6Oom4NZx7rXo+2tT1tHaoQNxQWnwHA5J71qCVza1pTFDDkwPlNcOJ3SLlkboVMDINu00Ex\nQUArqNcbtHa3dm6jAc5tMH/2bgCho8HOGXQOcG4jxByGtCj4rA10mQoNB0Fg21u/ThkqUZ/NxMRE\nGjVqxMSJExk3bhz29vasX7+e5557jm3bttG6deuyiLXUSJ9NIUR5+OtINE8vP1Ssulue60mdGs5l\nHJEQJffYD/tZfzKWz8a05s6WNW0dTsVxaKm55TG3YCNcAWodDP0YWt0Pak3xzr/pHdj+IbgFwjPH\nCh6XcB6+GwIZV6z312gI4/4GV7/iXacEynyA0Pbt25k0aRKnTp0CwN/fn7lz5zJmzJiSRVyOJNkU\nQpSVvReTiE7J5o/DUWy5OhdhcUzt04Bp/RqWYWRC3J4+H20hLD6T1U93o2nNavoW02SCy3thz1fm\n1kZnH0i+WLBe7S4QYR61T42GoLWHK8es60xYB75NzK2e4Tsg9TJkxEJ2ivkYQzYcXgaJV+c5H/Y5\ntHmw8Lj02bDrM0i6CGGb8xNPlQbqdof6fcGkN1+n+T3Q4h7Q3GT+cUMexJ+C2BOQcBZ8mkDTYaDL\nz5vKZeojgOTkZHJzc/H3r7gdU/9Lkk0hRFlYvDuC1/44XmB/sJcT93cMZnyXOsSn53IuLoOQGs7U\n9nbmu50XeXPlSZlGRlRoey4kMnrBbhx0ag6/3h8HXTFb5aqC+DOw4XWI2AW5aYXXaT4S7vwf2LnA\ntXlHTUbISgKXq6sjxp2CL0u4fry9G7wYXvzW0JN/ws8P3bxeQCtw9IDMBEiPAa0D5KaDg7s5+aWQ\nFPG+5dB4MFDKo9Hj4+OJiIi4YZ3Lly8D5mUkg4ODi3NaIYSoMv4+Gl0g0WxW041lEzvh7pjfghDk\n6USQZ35/N28X89zA6bn68glUiBJ4Z9VJAB7tGlK9Es19X8PaV8CYW3j56CXgHwqetQuWqTX5iSaY\nWzGfPgSfFtLV0MUPjHmQfXX+8dYPgMYejv8GrcZC7xnFTzQBmt4Fz56Bz9pBXnrR9WIOF77/WlLt\nWhP8mgGKOdnWZ8GPY6DxUPO9F1Oxks0///yTKVOmWO0zGo0YDAYAVCoViqKg0Wh44okn+Oyzz4od\ngBBCVHZh8RlMWZbfN3PF5DuISc1hYDN/1Oobr67i6mD+NpyeYyjTGIUoKUVROBdrHhw0sVuIjaMp\nRyf/hFXPmj+3fgC6TDMPutE5gXONGx9bFK8QeC3R3Pp5cSvs/xb6vA41GpjLDbnmFlG7q7+QDp1b\n8vhd/eG5s+bX6vX7mF+1J4eDk5e5n+m2OeBVDwbPMXcHAHOLpp0rZMaBgwe4BeSfz6iHre/Dtg/g\n9N8Qexzc6xcrlBK9Rs/NzaV79+488sgjjB07Fq1Wy6ZNm5g+fTqbNm0iMDDwVk9ZruQ1uhCitKTl\n6Al9c71le9dLvanpUfzvKwcikhg5719a1fLgjye7lEWIQtyW83Hp9J27DXdHHUfe6G/rcMqHIRfm\n1DO3CnadBn3ftHVEpS8v09x6qrnFiYl+Hgcn/4DmI8ke8kWx8il1SeLbtm0bAQEBPPbYYzg7O2Nv\nb8/gwYMZPXo0y5cvL8kphRCiUvrin/OWz98+3P6WEk0AVwfzK/b0HHmNLiqmRTvCAbijnrdtAylP\nG94wJ5o6Z+g1w9bRlA0751tPNAH6zzT37Tz+G4TvLNYhJUo2ExMT0esLfmPMy8sjMTGxJKcUQohK\nZ+3xK8zfegGAmcOb06ux7y2f49pr9NRseY0uKh6TSeGX/ZEAjGwTZONoysnl/bBnnvlzl6dvPmq7\nuvGoBZ2vdq1cMqJYh5Qo2ezWrRs7duxg9uzZREREEBMTww8//MDnn3/OoEGDSnJKIYSodBZuv2D5\nfE/bkv0gruFij6NOQ0JGLsmZeaUVmhCl4kJCJgaTubddj0Y+N6ldRWx6y/ynb1Po8aJtY6mouky9\npeolSjYDAwNZsWIFP/zwA3Xq1KFmzZq8+OKLfPHFF3Tv3r0kpxRCiEpDURTuW/AvByLMI0efH9Co\nxCN0dRo1Hk7mlpMsvbHUYhSiNOwLTwKgf1M/dJoSpQyVyz+zzWuOq7Xw4Ir8aYyENQc3eHKfuc9n\nMZRouUqA3r17c+rUKcsr9co0z6YQQtyOD9adYfeFJMv2o93q3tb5NFdHrBuNtzXtsRAlkp6jJzlT\nz7m4dPRGE2k5Bu5tG0SuwcTSPeZpD1vW8rBtkOVhzwLY+p75c7+3zaO5RdF8GsKzp+Cdm7d4lzjZ\nvMbbuxp1GBZCVHuKovDlljDL9osDG2Ovvb15B7VXk02DyXRb5xHiVlxKzOKxxfs5faXgPIwv/HrU\nartf07Jb8tCmctMhPdY81c+a5837ukyFzk/aNq7Kwq54S+zedrIphBDVybhv91k+//ZEZ9rW9rrt\nc1paNk3SsinKjtGkkJatJz3HwMmYVB5fcrBYx3VrUIOGfq5lHJ2NfDsYrlgn1vR8xTaxVGGSbAoh\nRDFtORPHtrP56523ruVZKufVqs194QySbIoykmswMvyLXZyKKbjc4r1tgxjUwp/whCxqejjQNMCd\n3w5e5n+bzvHiwMY83qOKTuS+7cOCieaL4aBzsEk4VZkkm0IIcROXk7MYOW8XsWnmJeuaB7rxx+Qu\nN10dqLikZVOUpZSsPAZ+sp0raTkFyj4d05phLWsW2D+tX0Om9WtYHuGVL0WBzTPh4PeQmf+LI37N\nYcJasK+iLbg2Vqxkc9GiRRw7doxPPvkEgM2bNxMREcH48ePLMjYhhKgQnlhy0JJoAiyb2AltKY7M\n1Wqu9dmUZFOUrvQcPa+sOGZJND+/vzX1fV3IM5gIDfKwbXDlLSsJVk2HEysKlj2+Q0ael6FiJZsu\nLi5cvHjRsn327FkOHz4syaYQolo4G5s/gOLRrnVxcyjdSZ6lZVOUJpNJIc9oHmzW4rqlVBc/0oFu\nDarJXJnXGPXm9c3PbYD06Pz97sEw9GPQZ4JnXUk0y1ixks2+ffvywgsv0KJFCwICAoiKiiI9PZ2B\nAwcWqDtkyBCeeuqpUg9UCCFspUmAG4cjU/h+Qgd6NCz9H9ZaSTZFKdl0KpYnlx0kR289s8ELAxtV\nv0QTYN0M8yvz/3pqP2iLN0ekuH3FSja9vb05ffo069atIzIykq1btxIVFUXfvn0L1G3SpEmpBymE\nELYSn57L4cgUAHSasmn90MjUR6IULNpxkXf+Pllgf6cQL57oUc8GEdnYov4Qucf8OaAVDHgX0mOg\nTldJNMtZsQcIOTo6Mnz4cABat25NVFQUo0ePLqu4hBDC5v4+Gs2UZYcs2/V9XMrkOpbR6FcndT8e\nlUpUSjYDmsmk0tWZ0aSgUavYcS6BdSeu0KW+N8Fezrz+53H2X129ys1Bi5+bA5eTs8m+ugJVgLsD\nz/VvxL8XEgnydGRS93qoqttr4nMb8xPNvm9C12k2Dae6UymKUuL3NnFxcRw4cIC8vDxCQ0OpW/f2\nVtEoL9nZ2Tg5OZGVlYWjo6OtwxFCVEAGo4n6M9ZYtsd3qcMbdzYrk2tN/GE/G07GAubJs699bhrg\nxnsjW1S/gRzV2KXELCYvO8DxqIJTFBVHhzpefDehPU521XSymTNrYf0MSDyfv++NFOmTWUaKm0+V\n+G/jwoULmTp1Kmq1Gjs7O1JTU3n22WeZM2dOSU8phBAVxj1f/Wv5fEc97zJLNAF6NvKxJJjX/gQ4\nGZPGYz8cYNOzPXC2r6bJQzUzZuFuolKyb1inaYAbLQLdiUvPoUv9GlxIyEStgid61ifQoxo3oOz4\nBDa+kb/d6gEY9J4kmhVAib57hYeHM23aNBYvXszIkSMB2LdvH0OHDqV3796FDhwSQojKIiPXYOmn\n2TnEm2UTO5Xp9fo19WPGiuNW++7vGMyyPZe4kpbD3otJ9GrsW6YxCNubu+GsVaI5ul0tmgW64eFk\nx52hAVxKyiI9x0Czmm7V77V4UTLi4Z+ZkHIJwjab99XvC8M+A7eC84cK2yhRsrl3714GDBhgSTQB\n2rdvz5QpU9i+fbskm0KISktRFJq/sQ4AF3styx8r20QTwNfVgSOv90erUeFkp8GkmAcNudprmb/t\nArsvJkqyWcUpisKnm85ZtsPfG1KgTm3v4q1DXW1kJsCH9Qvuf+C38o9F3FCJkk0HBwdSU1ML7E9L\nS8PNza1Y5/j999/58ssvLdtLly7Fz8/Psv3LL78wf/58q2OGDx/OlClTLNt79+7lyy+/JCEhgc6d\nOzNt2jScnJxu9XaEEMLi1wOXLZ+fH9Co3K7r7pQ/d+e1Qe+9Gvsyf9sF5m+9QA1nexr4ueDqoKNl\nkDtajZprXe4TM/Ow16px0GnQleJk86J8LN97iZd/P2brMCqP7BQ49Rfs+jx/X9vxcHkf9HzJZmGJ\nopUo2ezSpQsTJkzg5ZdfZty4cdjb27N+/Xq++uortm3bVqxztG/fnpdeeonIyEgmTJhAdrZ1H5WI\niAhSU1OZPXu2ZV+tWrUsnw8cOECPHj2YNm0aAwcO5MMPP2Tnzp2sXr26JLckhBAArD1+xfJ5bMdg\nG0YCHet6EeLjzIX4TGatPlXs4x7vUY+IxEwa+LqgNyl4OOro2ciXIE9H6ftZwRhNCrNWWf+3/X5C\nBxtFUwnEHIHl90Pa1V8K3WvBw6vAs7Zt4xI3VKLvOt7e3qxYsYJJkybx3nvvAeDv78+CBQto3bp1\nsc5Rq1YtatWqxenTp294ncLm8gSYPXs2w4YN49133wWgc+fO1K1blz179tCxY8dbvCMhhDCLSMoC\noG1tz1JdkrIkVCoVPz3WmUH/20ZCRl6xj/tqaxgAa67bN3vNaTyddCx+pCPNA91LOVJRUmdj08nI\nNQDwYKfajLujNvV9ZX3uQh3/DX57FBSTOcls/yi0uh9cpItJRVfiX3G7devGyZMnSU5OJjc3F3//\n0p8P7uTJkwwbNgx3d3d69+7NuHHjUF+dj27nzp3MnDnTUrd27do0bNiQnTt3Fkg29Xo9BoPBsv3f\nVlQhhADzOtLn4zIAWPJIxfil1cfVnv2v9sNkUohNz8HTyY4DEcnsuZBI53o1aFrTDUedBr3RxMFL\nyRy6lMKVtBwik7LIM5hw0Gk4G5tOTGoOyVl6nv/1KKuf7ioDTCqAXIOR4V/sBGBYy5q8M7y5jSOq\noM6uh01vQ+zVrgbNRsDwL0FXjUfeVzK3/T7F09OzNOIoYNSoUbRq1QqTycS5c+d444032LBhA8uW\nLQMgPj4eHx/rpbd8fHyIj48vcK5Zs2bx1ltvlUmcQoiqwWA0WdaRttOocbTT2Dgia2q1igB38w/X\nLvVr0KV+DatyO62abg18ilySMDVLT7c5mzkVk8akxQe4s2VNhoYGSNJpQ3d9vpNcg3nVKJnAvwgx\nR+HHMWAygJ0LtJsAfd8CtfRNrkwq7H+t4OBg+vbtS//+/XnyySf5/fffWb58ORcuXADAzs6OnJwc\nq2NycnKwty+4BNWMGTPIysqyfCUmJpbLPQghKo/52y5YPk/t28CGkZQNdycdg1sEALD+ZCxPLT/E\nh+vPWMoTMnKZu+EskVe7EYiyE5mURZ2XVnH6SjoAg5r7M6i5JJuFWvWsOdFsPBSeOwf935FEsxKq\nND3FGzQwf/OPjY0lJCSEBg0acPbsWUu50Wjk4sWL1K9fcBoEnU6HTqcrsF8IIQC2no3ng3XmxKtv\nE18m96ya60g/07ch7o46jlxOYfeFJL74J4yf919mSIsAvtsVDsA3Oy5y/K0Btg20CkvN1tNtzj+W\n7RaB7sx7oK0NI6qAFAUSzsLOT+HyXlBrYchcsJPZZiqrCvvrwcKFC8nNzQXM8499/PHHeHh40KJF\nC8D8mv27774jOdm8Puz3339Pbm4ugwYNslnMQojKafZ1I70/G9Omyr5a9nd34OXBTVg+sRPT+jbE\nTqMmPj3XkmiCeUL7UfP/JT4913aBVmHfX/esh7QIYOVTXW0XTEWgz4YTK2B+D3ivNsz0h7c84IsO\ncHiJuU6PF8HV74anERVbqbRsGo1GDh48SMOGDXF3L94oxyNHjvDss8+SlWV+ZfPAAw/g4ODAZ599\nRpMmTcjIyKBu3brUrl2bmJgYFEXhp59+wsXFBYBnn32WHTt20KBBA2rVqkVYWBiLFi3C29u7NG5J\nCFFNKIpieZ05d1TLCtdXsyyoVCqm9m1Anya+vL/2NNvPJeDjam9JMPdeTKL9rI2smHwHrYPLpl9+\ndZSVZ2DeFvNMAV8/1I6+TatZApWXZW6xjD8Dag1E7DKPMM9JKfqYxkOh85Siy0WloFKuzQp8i8aP\nH8/48ePp3r07Dz30EMuXL8fX15dDhw7h63vzaQiSk5M5cOBAgf0dOnSwTAyfmZnJ8ePHcXd3p169\neoW+Cj916hSJiYm0aNGi2IlucReOF0JUfX8fjWbKskMAnJk5EHtt1U82i6IoCq/+cZyley5Z9v32\nRGfa1vayYVRVxzc7LvL23ydp4OvChuk9bB1O+Yk9Ab9NhLgThZfrnKFWB6jTBWp3hbQoqNtdpjSq\nBIqbT5V4ucqzZ8/SvXt3kpKSOHbsGBkZGYwdO5Zly5bxzDPP3PQcnp6eRc6heY2zs/NN58xs0qTJ\nrYQuhBBWdp43Dxj0cbWv1okmmFs8Z93dgsb+rrz2pzkxGDnvX0JqODOpRwij29t2kvvKbPeFRGau\nOgnApB5VpE/wlePmKYnOrYMmd8LoJdblJhMknoOvuprnxryeoxc0HwnNhkPwHTLop4orUbJ56tQp\nGjZsCMC///7L0KFDsbe3p2vXrly6dOkmRwshRMUQmZTF8r3m71mfjyneghTVwYOd61DTw5FHvt8P\nwIWETF787RhLdl/il8c746Cr3kn5rcrOM/Lgoj2YFBjTIZh72gbZOqTSsWQkZFxdcevUSvhxLNzz\nDWjtITMRlo2CqP359SduBp/GoLEDlUYSzGqkRP+lg4OD2blzJ3FxcSxevJiuXc0dnMPCwgodDS6E\nEBXRlOWHLJ/b15FXxdfr08SPQ6/1Y+8rfWjga+4rfywqlcavreXzzedIzsxf0UhRFErYI6vK+/XA\nZfp8tAW9UcFBp+blwY1tHVLp2PT21UTzusF0p/82D/L5+SH4X8v8RNO1JrR9GGq2ATtn0Ogk0axm\nStRn02Qy0b9/fzZt2kSXLl3YunUrKSkp3HHHHezZswcPD48yCLX0SJ9NIUSO3kjj19YCEOjhyM6X\nets4oopt1dEYnlx2sMB+JzsNBpNC3tXJyUe0CaRHQx/a1fEi0KN6f3+dveYU87fmz9/6wsBGTO5Z\nyRtkFAUOfg8rp5q3+7wB3abD4eXwx+PWdZ284YHfoKa8NaiqiptPlXiAEEBiYiJeXl6oVCpSU1NJ\nT08nKKjivx6QZFMIcfBSMiO+3AXAyildaREk64XfTGRSFt/svMi3O8OLVb9/Uz/G3VEHbxc70nMM\ntA32RK2umtNKXaMoCj/vj+SX/ZfZH5Fs2f/bE3fQtnYVGNl/7Ff47RHzZ7dAeOa4uZXSqIf1r0Fm\nPCSeN/fhbPswONe44elE5VYuyeaZM2eIiorCZMrv+BsUFETjxhX7NYEkm0KIyUsPsPrYFYa0COCL\nsW1sHU6lkpFrYP7WMC4nZ5OarcfDUceo9rVIzdaz41wCa47HkJCRV+C45wc0olcjXwI9HXF3rDoL\nbRhNCgu2XeCbnRcLzE/q52bP+md64O5UBe43Kwnm1M3fvuMp6D/TdvEImyvTZNNoNDJkyBA2bNiA\nt7c36uv6XowbN47333+/ZFGXE0k2hRADPt7Gmdh0pvdryNN9qt7ylLb2b1gin20+x66wgssDt63t\nybyxbfB1c7BBZKUrNUtPy7fXF9jv7+bA9H4NGdW+lg2iKiMn/zT3xwSo0w3GLAd7V9vGJGyqTKc+\nWr9+PWfPniU6Oho/v2o2Ka0QotI7eCmZM7HmidzHdpTpfMpC53redK7njaIo1H15tVXZgYhkOry7\nCYCWtTwY074W97arhaYSvmJ/f93pAvv+fLILLWt5lH8wZS3iX/Of3Z6FPq/bNhZRqZQo2UxNTaVb\nt26SaAohKo3LyVnMWHGcrWfjLfscdRq8XextGFXVp1Kp8HTSkZyl553hzcnOM/Du6vwE7UhkCkci\nU3jp92OWfc1quqE3mpjUvR53taqJVlOxRi7HpeVw/9d7OB+XYdn3XP+GPNGzfqVMmIslOwX2LjB/\nDull01BE5VOi1+jh4eEMHz6c/fv3o9WWyoqX5UpeowtRvaRm6Rn2xQ4iErOs9u9+uQ/+7pX/VW5F\nl5SZR3RKNs0DzYOwjkelsuN8An5u9qw5doX1J2NveHzzQDea+LvRyN+Vb3eG4+VsxwsDG9GtgU95\nhA/A6StpPPPjYcvSptcb2SaIj0a1LLdYbOKbQXBpF9i5wPNhoJN/N6KM+2wePHiQSZMmoVKpGDhw\nIHZ2dpaytm3bMmjQoJJFXU4k2RSievg3LJExC3cX2N8kwI3PxrSivq/0N7M1g9HEB+vP4O6ow06j\nxs1Rh5uDlj8PR7P+ZCxGU9E/onxc7XlpYGNaBXtQ19u5TEa6X7+c6X/d1aomrWt5MKZjcNVefSo3\nHWZfnWlm5CJocY9t4xEVRpn22YyPjycwMBCAo0ePWpXVqCHTHAghKobrE00vZztWPtW12s/9WNFo\nNWpeHlRw2eGBzQPINRhJzzFw6FIKr/1xnCtpOVZ14tNzefaXIwC0CHRnQDM/7moVSC0vp9uOKzPX\nwPhv97E3PMmyr2UtDzJzDfRs6MMLAxtjp61Yr/fLTPRh858BrSTRFCVyW1MfVVbSsilE1ZWQkUv7\nWRv573e2szMHVZ/koIo6H5dOkKcTWrWKJbsj+HFfJAkZuQWmWWrs78qkHiF0CvHmYEQKS/dEcCUt\nh96NfGkd7ImXsx2KotA8yJ1cvYnsPCPHo1OZteoUHet6ERafwYnoNAwmBZXK/Jp8cs96hPi42OjO\nbWzn/2DD69BuAgz92NbRiAqkXObZjIuL48CBA+Tl5REaGkrdunVvflAFIMmmEFWToig0enUtecb8\nuX9Dg9z5a0pXG0YlylpmroHfD17m083nC8xzeTuc7DS8NzKUYS1rlto5K6VvBsKlf2H4V9BqjK2j\nERVImb5GB1i4cCFTp05FrVZjZ2dHamoqzz77LHPmzCnpKYUQ4rZcTMi0SjRrujvwwoCKvciEuH3O\n9loe7FyHBzvXYdvZeJbtucTaE1cs5WM61MJkgp/2R9LIzxUnew2HLqUUeT5HnYaZw5szsm3FXxGv\nzJ3baE407VzNqwIJUQIlSjbDw8OZNm0aixcvZuTIkQDs27ePoUOH0rt3bwYOHFiqQQohRHFcSjKP\nNm8d7MGKyV1sHI2whe4Nfeje0IdTMWl8tP4sd7WqyZ1XWybfvyfUUs9kUohOzcZBpyEiMQsnOw1N\nAtxsFXbFkHQB1DpIi4LMBNj4JiSeM5c1Gw721bQbgbhtJUo29+7dy4ABAyyJJkD79u2ZMmUK27dv\nl2RTCGET3+0KB8zzNIrqrUmAG1+Pa1dkuVqtIsjTPJCoRnWcazUvC85vhP2LwNkXog5AUljR9TtP\nKb/YRJVTomTTwcGB1NTUAvvT0tJwc5Nv8kKI8vX2ypN8s/OiZXtMB1kVSAgrhjzY+Aac/AvSLt+8\nvtYBDFdH/z+8CnylO4oouRIlm126dGHChAm8/PLLjBs3Dnt7e9avX89XX33Ftm3bSjtGIYQoUmqW\n3irRHN6qJs1qutswIiEqmFN/w9qXIfVSwTKdM/R9A2q2AZ0jOHqCe2D5xyiqtBIlm97e3qxYsYJJ\nkybx3nvvAeDv78+CBQto3bp1qQYohBD/FZeeQ1xaLsv3XmLpnvwfoN7Odswd1cp2gQlRESgKZCVB\naiR8NxTyrq56pNZCq7HQdBi4B0ONBqCqostrigrltufZTE5OJjc3F39//9KKqczJ1EdCVE6KotDh\n3U1FTm+zd0YffF1lGT1RjYX9A4uHF9zfcgwM+ww0unIPSVRdZT710TWenp63ewohhLih1Gw9U5Yd\nZPu5hAJlznYafpt8B439pb+4qAYidsHlfZCTBvGnITkc3GuZX4E7+8De+fl1veuDvSs0HAg9X7JZ\nyEIUO9nct28fMTExDBs2jH379vHnn38WWq9Dhw4MGzas1AIUQlRfuQYjE77bx87ziYWWN/Z3Zc3U\nbqjkVaCoaox688o9fs3NSeWxXyA9BrIK+bcQe9x627cZPLoR7G5/2U4hSkOxk83U1FTi4+Mtn8+f\nP19ovcqyipAQomL7+2g0U5YdKrD/qwfaMLB5AJFJWXi72EmiKaoOfQ789RScXQe5BWd8Acz9Lv2a\nQaMhoHMAj2DIToYrx0ClBp/G0HY8aG77xaUQpUbWRpc+m0JUGBGJmXy4/izrTlwhz2CyKjszcyD2\nWo2NIhOiHGyeCds+sN5n5wI1W0OdbtDiHvCsA2r5dyAqhnLrsymEEKUhKiWbHh9ssdrn5qDlpUFN\nGNOhlrRgiqor5RLsXQC7PjNvD3wPQkeDgweo1TYNTYjSUKxk80Z9NP9L+mwKIW6VoigM+Nh6jt6h\noQF8NKqltGaKqi0zAb7qBjkp5u1Ok6HTEzYNSYjSVqxk80Z9NP+ruH02r+8DClCnTh202oLhZGRk\nkJKSQmBgYKEtGzcrF0JUfF9uCSMj1wDAqqe7yqTsoupLDocNb0D0QXOi6egFoxdDna62jkyIUles\nZLNv37707du3VC+8YsUKZs6ciV6v59KlS1y8eJE6depYyk0mE1OmTOGbb77ByckJV1dXFi9eTPfu\n3YtVLoSoPD5Yd8byWRJNUaUpCmx+B7Z/ZL2/31uSaIoqy2adQR5++GHOnz/PunXrCi2fN28eK1as\n4NSpUyQmJjJx4kTuueceMjIyilUuhKgc4tJybB2CEOXnn3etE83AdjBkLrR+0HYxCVHGKmyfzR9+\n+IEJEyZYXss///zzzJkzh7Vr13LPPffctFwIUTn8cTjK8vmd4c1tGIkQZSz+DGybY/7ceQr0fUum\nKBLVgs36bN7MyZMneeaZZyzb9vb21K9fn5MnTxar/Hp6vR6DwWDZzs7OLpUYhRC3b8sZc9/t/93X\nirtaBdo4GiHKSE4q/PKw+XOjITBglk3DEaI82azP5s1kZ2fj4uJitc/V1ZWsrKxilV9v1qxZvPXW\nW2UXrBCiRBRF4UR0GgCdQrxtHI0QZeDSHji3Ho7/ah4UVKMRDP/C1lEJUa4qbPu9p6cniYnWy3Il\nJibi5eVVrPLrzZgxgxdffNGynZ2djbe3/GATwtYW744gNVsPgK+rvY2jEaIUmEwQtgmiD0PGFdj3\ndX6Zix+M/QUcPW0WnhC2UGHXRm/fvj3bt2/n4YcfBiA+Pp7Tp0/Tvn37YpVfT6fTodPpbjsmIUTp\nURSF1/88YdmWqctEpZWXCcd+Na9hvvvLguUuftDlGWg+Elz9yj08IWzNZmujZ2dnExUVxaVLlwCI\niIjAYDBQq1Yt7O3tmT59OkOHDqVjx460bNmSt956i9atW9OjRw+Am5YLISq2/tdN4t6hTsE3EkJU\nCoY8mHeH+RX59excoW43aHY3NL9HVgIS1ZrN1kbfs2cPY8eOLbD/119/pVWrVoB5Ls5PPvmExMRE\nOnXqxLvvvouvr6+l7s3KiyJrowthWwajifoz1gCgUsGRN/rj5iBvH0Qloyiw8mk4+IN5u9ndkJcF\nfd8Av2a2jU2IclDcfKpUkk29Xk9WVhbu7pVjMmZJNoWwrbOx6ZaWzQvvDkatllfoopK4ctw8svzc\nOjj6M6THmPff8y00H2Hb2IQoZ8XNp255gND+/fv55JNPMBqNPPfccyQkJDB69GjS0tIYM2YMS5Ys\nkb5XQogb+utwNAADmvlJoikqh8i9sPIZiDthvd/eDfq8LommEDdwS8lmamoqffv2pWPHjnh5eTFi\nxAg8PDyYM2cOXl5eTJkyhVWrVjF06NCyilcIUcll5Rn4blc4AKPa1bJtMELcTOQ+2PAaXPo3f5/G\nHkLvhfr9oEE/sHO2XXxCVAK3lGxu2bKF5s2bW5aYnDJlCpcvX+axxx4D4OjRo+zZs0eSTSFEkS7E\nZ5KRa6CejzN9msjIXFFBZSWZl5bcvwgUk3lf6GjoNQM8a9s2NiEqmVtKNmNjY2natKllu2nTplYr\n8wQEBHD06NHSi04IUeX8G2aeH7eWl5ONIxGiCNGHYMlIyLo6l3OjwTD4Q3CXFa6EKIlbSjZNJhPq\n66ZvUP9nKgeVSoWNBrcLISqJHecTAAgNrBwDCkUloChgzDN/qbWgsQO15tbOkZsBf0+DpDCIPQGG\nHPCoDcPnQe07zNMmCCFK5JYHCK1bt47hw4cDEB4eTmpqqtV2p06dSjM+IUQVcjY2na1nzfP1ju4Q\nbONobCA3A479bH4tmxgG5zZA4jnwCoGhH0NIT1tHaHu5GXDhH/NE6ekxkJ0MuemQnWKeND0tGtyD\nAJX5dXZ2MkQdBEN2/jl0TtCgP9TuAl51QaMzt1JmJprrZcSBPst83pRL5s8pl8yjzK9peT8M+VD6\nYwpRCm4p2WzWrBkDBgywbPv7+1uV+/v7071799KJTAhRpeQajFYTuQd6VKNpx5IjYPVz5uSSQt7+\nJF2Anx6EZ09Xv+TGaIDTK83Jd9IFOLz05sfkpJj/jD2Wv0+tNbdwKiZz8njyD/PXrWo1Fjo9Af4t\nbv1YIUShbinZ7NatG926dSurWIQQVdiX/4RZPq96uqsNIyljmQmQFgUJ58CohwPfQeTuq4UqsHMB\n5xrmZKZmG7i02zxnY24apF4Gn0a2jL585KZDxL+w+R24Ukg/fxd/qNMV7F3BNQA0WvM+tRaO/mRe\nrafRIAhoZW61DAgFz7r5r7pjjsLFbRC22bzPmGeeosjJC7SOYOcErjXBwR1cfMxrlWsdwKexvC4X\nogzc8mt0IYS4VbkGI9//Gw7AeyNa0KxmJeivGX/GPGm3W01zAnl+A9zxNNTtDiYDrHgcvOvDwNnm\nV7THf4c1zxd9PkdPeHQTeNcrWPZ1P7i8Fy7vr9rJZmIYfNam6PJer5pfeze5E7T2hddpOfrm1wkI\nNX/dMaVkcQpxixRFwaAY0KlLvhLalsgtfHXkK4Ldgrm/8f208m1FrjGXA1cOkJaXRr/a/dDcal/k\nCkKSTSFEmbuSmkNKlh5XBy2j21fwuTUNueaRyOHbC5b9/KD19vkNsGde0eeq2Qb8m0PTu6Ben6Jb\nza71N/zv+tpVzeZ38j871YA6XaDFKHDxBa964Oxtu9iEKKH14euZsWMGOcYcetXqxbtd38XFzuWW\nzvFX2F/M2DEDgBOJJ1hzcQ1jm4xlZdhK0vLSALBT23Ff4/vYFb2L2KxY3r7jbfrW7lvq91MWJNkU\nQpS5hIxcAEJqOFfsFcYMebB8TOGJZnGNW2luxbyVPn+txsLalyAroeTXreiO/gwnVpg/3/kptB1n\n23iEKAZFUTiddBpnnTPBbgUHNX5y4BMWHV9k2f4n8h8G/DaAaW2ncVf9u9Ab9YxfNx5XnSuf9v4U\nJ13BKd92Re2yJJq13cxzuEakRbD0lHX/5TxTHj+c/MGyPW3LNABqOtfkkRaP0NKnJTUca+DtWPF+\naZNkUwhR5o5Emkf51q1RwQa/mIzw0wNwZnXh5f3eMSeevk2g71sQe9w80tnOBYy55j8j94KzD9Rs\ndevT7VzjcfWH2P5vzNdxcCvZeSqy/d+Y/2w8VBJNUaHlGHJ4f9/7/Hr2V6v9fk5+xGbF0tirMXfV\nu4vmNZpbEs0glyAeaPoAXxz+grS8NN769y3e+vctXHWupOvTAVhzcQ0jG460Ouf1LZrBrsEsHbwU\nF50LXxz+guWnl+Pt6M3bd7xNa9/WbLq0iRXnV3Al8woxmTGk55nPG50ZzTu7898aPNfuOQKcA+gW\n1A1HbfEHYupNesJTwwl0CUSj1jB3/1zis+N5ps0zhSbat0KlVMOJMYu7cLwQonS88edxvv83ghmD\nmzCxe4itw8n36wQ4/lvhZU2GwejF5RNHdjK8X8f8udFgGLXYPCimqjDkwUxfQIGnDhbeb1UIGzKa\njPzv0P/IzMvkfMp5DsYdLPaxwa7B/DbsNxy0DhhMBn48/SPv73u/QL2769/N213eBuB88nk+O/QZ\nmyM3A+Cqc2XDvRtw1hXvF3KDycC/0f+y/PRyTIqJU0mnSMpJsqpT170uT7V+imDXYJJzkwlLCeNM\n0hkmNJ9AHfc6lnrbL29nxfkVbIjYUOT1Wvu25pNen+Dl4GW1v7j5lCSbkmwKUaYURaHLe5uJTs3h\nhwkd6N7Qx9YhmelzYNZ/lst0cDdPxdNtOnR/rnzjWf087F2Qv915inmEdFB7aDSwfGMpbb9PgqM/\nQo2GMGWfraMRwuJY/DHC08J5ZccrhZZPbTOVcc3GoVFpWB+xng/2fUBcVpxVnX9G/UMNxxpW+/bG\n7GXVxVX8fu53yz5HrSPrR67nk4Of8Nu5/F9yG3s1ZmaXmTTyur3BgUfjj/LTmZ9Iy0tjS+SWG9Z9\nsf2LOGgduJR2iW9PfFvsa2hUGp5t9yyjG41Gp9aRk5MjyWZRJNkUovyk5egJfXM9KhWEzRqMWl0O\nfTaNekB149bBA9/Byqnmz6OXmEdA25JRD1/3gZgj/ylQweR/za/yKxOjHi5uNY/SvzZ3ZofHYPAH\nto1LiKte3/k6K86vKLA/2DWYTgGdeLXTq0X2Mf/j/B8sOraIexvey0PNHiryGlEZUaTkpvDx/o/Z\nc2UPOrUOvUkPQEufltzb8F7uqn9X6dzQdY7FH+P387+z7uI6y2t8X0df4rLjCq0fWiOUBp4NGBIy\nBG8Hb9aEr2Fkg5E46ZzYFLGJ13e9Xuhxvw/6nYZ+DSXZLIwkm0KUn18PXOa5X45Q092BXS/3KfsL\n7v/GvOzg9bzrg19z8xRGETusy5qNgHuL/5t9mUs4B6f/NvcnPbTYPEK992tl29KakwZXjkHkHggd\nfXtrgJtM5lHn/35h7td6vVfjQWt3e7EKUQqMJiOdl3cm++pMEF4OXrzW6bUyG919IeUCI/4agVEx\nAtC/dn8+6vlRmVzregaTAQUFrUqLSqXiVOIpZu2ZxZH4I9T3qI9GpcFJ58RnvT/D3b7oKemyDdls\nvbyV57daT+9myjNx8rGTN82nqlCnICFERZNnMPHNjosAONqVw/xw+uyCiSZA4nnzV2H6vFa2Md2q\nGg2g69V78GlkHsB0/LeSJ5uKYu4Tasg1r/edlwkJZ80TyGclQPoVOLPGPKk8mFtWR31fsuvEn4Yd\nn5hfmQPUaAQN+0OrB8C3ccniF6KUZeoz2X9lvyXRPDbu2E2OuH0hHiEMrz/c8vr8vwOFyopWbZ3m\nNfFuwpLBS275PI5aRwbWGcjAOgPZd2UfxxKO8fGBj4sfxy1fUQghimnpnghOxqTh5WzHb0/cUfYX\nDNuc/7n9o+blIdOioPk9ULcbpMXA5X3mljvPOhDY1rwueUUV0hM0dhB30pxEd3wcvBuAWp1fR58D\nETsh6gDs+tw8It65Bqh15nk9s5IgPbr41zz5h7l18vpr3Ig+x9wlYcvs/GUkAYZ+Au3GF/+6QpSD\nlWErrfpnDq47uNyu/XLHl+kT3IcOAR2w1xSxaEEl0N6/Pe392zOh+QT+PPUnwxl+02Mk2RRClAlF\nUfhpXyQAD3WujYdTGb4+/f0x8zKG17SbAEPK/hVVmbN3hU6TYecn5u4B16YPUmvN0y7ZuUB2knkt\n8OtlW49KRedsXnNd6wD2LuYlIH0agZM3uPqbl2n0b3F1xDiwfDS0ewTcg8ytoLHHIfaEOXHX55iX\nfzTqzX9ePzeovTsEtjEnyW1keiNR8Sw+aT3DxMPNHi63a9tr7OkWVLWW/O5fp3+x6kmyKYQoE6nZ\nek5fScdBp+bxHmU41U3cKetEE6Dtw2V3vfLW53Xz+t/nN0L0IfM+k8HcinitJdGvhTl59AqBJkOv\nHqgyt2yqteZR4MWZA7TTk7D7Czi33vxVXL5Nofer5mmbKvKk/aJaSc1NZeo/U7mcfpl5feex9NRS\nTiWdAsx9NBt7NaaJdyUbeFdJyQAhGSAkRJm4NjCono8zm57tefMDog7AhS1wYat5FLODO9TuYn4V\nHtIDXPyhRn3za+V/3jW3+qXHFDzP4ztubfWeyiQ3w5x4ooK8DPOXzrn0lnlUFHP/zf3fmJN4lRr8\nmpoHWPm3MCetds7mGDT25v8WDm5Fr2MuhI3su7KPCesmFFp2X6P7mNFpRjlHVDXJPJs3IMmmEGUr\nNVtPy7fMLWN3tarJ/+5rfeMDjvwIKybd3kV1zjD1CLhUkHk8hRC3JSknibn75xKbFYuXgxdPtHyC\nOu51MCkmsg3ZlgnQsw3ZGEwGErMTuZJ1hXXh6wqs/gPg7+zPxBYTubfhvRV72dxKpLj5lLxGF0KU\nKoPRxMPf7rVsP92nwY0POPFH0Ymmxs7cLxCgXm9w9oXMOOuBQO61YOJmcPG9vcCFEDZzbUWc7058\nR2232tR2q82H+z+0qrP64mpa+bTicPxhVKio7Vab8LTwG563uXdzlgxeQkxmDIEugZJk2ogkm0KI\nUvX7oSgOXUoB4N27W1DPx6XoyjFH4Jf/DCR5M/XmFzEaYO1LENAS2jxY8mCFEDZlMBn4/dzvfHro\nU1Jzzf/2917Za1WnlmstItPNgw0Pxx8GQEEpMtF01bkS6hPKw80fpolXEzRqDUGuQWV2D+LmJNkU\nQpSa5Mw8/rfxHABd6ntzX/taRVc+twGW3pO/rbGDge8V70IaLQz58Ob1hBAVkqIozNk3hyWn8ud8\nrOFYg2xDNlq1lhoONRhQZwBjGo/Bw8GDTH0mv579le9PfE+WIYsX279IliGLxOxEfJ186VmrJ8k5\nyTT2aiytlxWQ9NmUPptClJoF28J4d/Vp6tZwZvXT3YqeyF1R4C2P/O3BH5rnxZQfEkJUSWeSznAi\n8QTfn/ieC6kXrMq8HLwY1WgUj4U+hk6ts1GEoiSkz6YQolxFp2SzYJt5taBn+ja48YpB/36R/7nX\nq9BhYhlHV7lk6jPJNmRTw7EGqbmpfHP8G84ln6OxV2P8nPxo7deaeu710BRnOiMhbGxn1E6e2PgE\nCoW3bf01/K8bLpUoKr8Km2xu3bqVlStXWu3r2rUrw4cPt2zHxcWxbNkyEhIS6Ny5M0OGDCnnKIUQ\nAPvCk7j3q38BaB3sweAWAUVXTo2C9VenHWk0BHo8X3TdSkZRFLZHbUdRFLoHdS/R67xzyed4ctOT\nxGTG0LtWb86nnOdS+iUAtkdtt6pb2602AL2De9PWty2da3bGTiNrj4uK5ZODn1gSzS41u7AzeicA\njTwbsWTwEhy0DrYMT5SDCpts7tu3j7///ptHH33Uss/V1dXy+dKlS3To0IG2bdvSokULJk6cyL33\n3sv//vc/W4QrRLU2ZsFuy+fJPeuj09xgqcMzq/M/d5tehlGVn9NJp1l9cTX/XPrHatBCe//2hKWE\nkZSTxNCQoTzU9KEiJ5HO0mcxa88s/gr7y7Jvc+RmqzqdAzqTkJPAuWRzv9iItAgAvj3+Ld/yLY5a\nR+5teC/T2k4rsCayEOUtx5DDKzte4XTSaew19my/bzuOWvOr1rS8NNzs3GwcoSgvFbbP5ocffsjG\njRtZu3ZtoeWPPfYYZ8+e5Z9//kGlUrFv3z46duzI6dOnadiw4Q3PLX02hSg9yZl5tH5nAwDP9mvI\nlN71i27Ru76vZtPhMOr7comxrFxOv8yg3wfd0jGzus5icN3BBZLBMX+P4XjicQDquNWhpktNdkXv\nwsfRhxc7vMiAOgMsdVNzUzkafxQvRy9OJp7kbNJZdsfstkp067nXI9A1kNa+rRlefzg1HGuU/EaF\nuEV6k54Rf46w/J2c0HwC09pOs21QotRViT6bkZGRvP7667i7u9OrVy/atGljKduwYQPPPvus5Yda\n+/btCQ4OZsOGDQWSTb1ej8FgsGxnZ2eXzw0IUcXl6I2WRNNBp+apoubUNBlh2Wg4vyF/X7+3yiHC\nsnM0/ihjV4+1bA+rN4w2vm3oEtiFbZe38cvZX6jpXJPD8YdJyslfq3zGjhm8tvM12vi2oW/tvoxq\nNIoN4RssieaPQ3+kmXczwPxavrDE3d3e3bLG8vV111xcw4vbXwQgLDWMsNQwtl3exsKjC5nZdSZ9\ngvugVt2g1VmIUrIrapcl0fyk5yf0qd3HtgEJm6qwyWbPnj0BMJlMnD59mtdff51XXnmFGTPMfb2i\noqIIDAy0OiYwMJDo6OgC55o1axZvvVW5f7AJURHNWnXK8nl0uxtMc5QYZp1oNhwInnXKLrAylpqb\nyuRNky3br3d+nXsb3mvZHtVoFKMajbI6JteYy+w9s/nj/B8YFSP7Y/ezP3Y/7+3Nn+5pSMgQS/II\n3FKfT5VKxeCQwXSq2YlDsYdIzk3mQOwBdkTtICU3helbphPoEsiHPT6keY3mJbltIYrtdNJpwLw0\npCSaosK+Rv+vv//+m7vuuouoqCj8/f2xt7dn+fLljBgxwlKnc+fO9OnTh5kzZ1odW1jLpre3t7xG\nF+I29f94K2djM5jUI4SXBxXeFxGAeV0h9hh4BMP4teBWs1JPc/T05qf5J/IfAL4Z8A3t/dsX+9hc\nYy5fHfmK9eHruZJ5hTxTnqVs6eClhPqElmqsWfosPtj/AdsitxGXHYej1pHVI1bLa3VRpjot60Sm\nPpMpraYwqeVtLkUrKqwq8Rr9ej179sRkMhEWFoa/vz/BwcFcunTJqk5kZCTBwcEFjtXpdOh0MneX\nEKXp9JU0zsZmoNOoeLr3DZak1GebE02ALs+Ae2DRdSuBhOwEdkTtAOCLPl/cUqIJYK+xZ2qbqUxt\nMxVFUTgUd4g/w/6klU+rUk80AZx0TrzR+Q30HfSMXT2WU0mnGLtqLD/f+bNMNyNKlUkxcSzhGL+d\n/Y1MfSYAg+reWp9mUTVV2M47O3bssNpeuXIlWq2WRo0aATB48GCWLVtmabHctGkTV65cYcCAAQXO\nJYQofW/8eQKAgc0DcLa/we+tG97I/9xuQhlHVbYOxx3mrj/uQm/SU9+jPl1qdrmt86lUKtr4teGt\nO97i7gZ3l1KUhdNpdDwW+hgA0ZnR9PipB3P3z8WkmArU/e8LrzUX1zB3/1wOxh7kSuYV9sTsIT0v\nvUzjFZXP0lNLeWD1A6w4vwKAx0IfI9itYAOQqH4q7Gv0iRMncuzYMVq3bk1UVBQbN27kww8/ZPJk\ncz+p+Ph47rjjDry8vGjatCl//PEH06dP57XXXrvpuWU0uhC3Jzolm67vb8akwKZnexS9/nnMEZjf\n3fw5pBc89Ee5xViaFEVhf+x+Xtr+EnFZcdRzr8dX/b7C39nf1qHdshOJJ5j570zLgKTm3s3pX6c/\ng+oO4nD8YZ7fmj/vaRvfNkwMnchTm5/CYDIUer4Q9xD6BPehY0BHOgZ0tCpTFIXFJxdzIfUCoxuN\nLnLaJ1G5nU46zXcnvmPVhVWWfaMbjWZ62+k46ZxsGJkoa8XNpypssglw+PBh9uzZg7u7O126dKFW\nLesBCJmZmfz1118kJibSqVMn2rVrV6zzSrIpxO15868TfLcrnL5N/Ph6XBH/7tJiYG7j/O0Xw8HR\ns1ziK23zj8zn88OfA9DEqwnfDfyu0v8Q/e74d3x26DOrPqO3q41vGz7q+RGe9p4cjDvIZ4c+41Dc\nIQDqutflr+F/3eQMojI5k3SGGTtmcCb5jGVfPfd6/DbsN1ndqpqoEslmWZFkU4iSUxSFO97bTExq\nDsse7cgd9f8z0MRkhIM/wN/P5O+7bxk0rrwrfD275VnWR6zHzc6NDfdsqPSJ5jUXUy+yMWIjv537\njaiMKMv+j3p8xIaIDey7so/EnETAnEh+N/A7DCYDV7Ku8PGBjzmZeJLYrFgURcGoGG96vX1j98lq\nMVWAoih0/6k7Kbkpln29avVifPPxNK/RXNY3r0aq3AAhIUTFcCgyhZjUHFzstXQM8bYu1GfDV90g\n8Vz+vgGzK3WiCZBpMA92mN1tdpVJNMHc2jgxdCKD6g5i+pbpJOcms2LYClzsXOhfpz9gHs1+MO4g\njb0ao1Kp0Gl01HKtxdyec63OtTJsJYuOLSIsNQwwD4Qa1WgUXWp24fGNjwPmvp9l3TdVlB1FUVh6\nainv73vfav+SwUto6dPSRlGJykCSTSHELdlxLgGA0CB3NOr/TF+0boZ1ovngH1CvV/kFV8oi0yP5\n/NDn7Iwyr+XsrHO2cURlI8g1iJ/v/LnQMiedE10Du970HHfWu5M7693J8YTj7IrexbB6wwr0aZ17\nYK4km5XY5kubrRJNrUrLyrtXEuQaZMOoRGUgyaYQothiUrOZu+EsAPd3vG6UadJF+LoPZJlfudJk\nGNz7HVTSflv7ruxj+enlbIjYYLXfx9HHRhFVHs1rNC8wafzLHV5m9t7Z2Gvs0Zv08pq1glEUhZTc\nFDwdCvapTstLY8zfY7iUbj3V4OJBi2nl26qcIhSVnSSbQohi+3RTfquln9vVvneKAp+2yq8U2BZG\nLKyUiaZJMbHw6ELLYKBrhtUbxoA6A2QalxIa1WgUi08u5nLGZebun8uLHV60dUjVmtFk5GjCUb46\n8hVH4o+gUWlIy0sDYFbXWXQN7Iq9xh5nnTPfn/jeKtHsFNCJL/t+Kb8wiFsiA4RkgJAQN2Uwmvhu\nVzgzr1ue8tib/XHd8wn8c92KXbU6wpgfwcmr/IO8TSk5KUz9ZyoH4w4C5qUjn2z1JLVcb7AMpyi2\nvTF7eWT9I4B5MvzuQd1tHFHFdO1H8q0sVQrmlan2X9lPYk4i2fpsYrNi6Ve7H6surOJi2kWiM6I5\nn3L+tmL7pNcn9K7V+5ZjE1WXjEa/AUk2hSgeRVFYfzKW1/88TmxaLgDDW9XkneHNcc2Ng4+b5lf2\nrg9PHbBRpLcnNTeVxzY8xsnEk7jZufFap9cYWHegrcOqct7d8y7LTy9HrVIzve10glyCaOffrlqv\nZKQoCqeTTmNUjNT3qE/7pe1RoULB/KO5rntdTIoJB40DDzV7iE4BnTCYDOhNeg7EHiApJwkHjQPL\nTy8v8Kr7Rhy1jnT070hDr4b0q92PCykX+PvC32yP2l6g7sgGI5nRaYa0ZooCJNm8AUk2hSie3w9e\nZvrPRwDzUuYvDmzM+C51sNeo4auuEGueGJxHNkKNBuDoYbtgS2Db5W2sDFvJP5H/kGvMxdPek8WD\nF1PbrbatQ6uSsg3ZTN08lX9j/rXsc9Q6cm/De3mmzTPoNNUrmZl3eB5fHvmyVM/ponPBqBjJNmRb\n9rXxbcP45uOx09hxNP4oXQO70sSrSaFzYepNetSouZR+icj0SNr4tsHFrohFG0S1J8nmDUiyKUTx\n9P94K2djM+jWoAZv3NmU+r6u5oJ9X8OqZ82fx/4KDfrZLshiiM+KZ9HxRZxOOk0t11q427nz/cnv\nrer4OPqwoN8C6nvWt1GU1YPBZGDB0QUciT9CjiHH0m0BzKOb63vWp51fO+q41aFv7b54O3rf4GyV\nk6IofHX0K748bE40HbWOVskhwP2N76e+Z300Kg2puamoVWp+PvOzVeulvcYeo2LEYDLQwLMBH/f8\n2PKLkqIorLm4BgetA71q9ZJX36JMSLJ5A5JsCnFzP+69xEu/HwOu9s90uNrqpCjwlof5c8OBcP9P\ntgmwGJJzkhmzaozVhOX/1TOoJw29GjKm8RhqONYosp4oGwdjD/LqzleJTI8stDy0Rij+zv408GxA\nr1q9iM6IxlHnSGiN0Eo55+nOqJ2WeUcBfB19WX/PeiLSI7jrj7sAaFGjBcuGLCtw7LV17I0mI7nG\nXEuLo9FkRK1SS0Ipyp0kmzcgyaYQN3fPvF3sj0hmZJsgPhp13YTN5zbA0nvMn19Pssmoc6PJSFpe\nGpfSL9HQsyGOWkerskvpl3DSOvHCthcsLWfNvJtRz6MeURlRKIqCj5MPk1tOJsQjpNzjFwVl5GVw\nMO4gxxOOYzAZ2BCxgcvplzEoha/JDhDqE0qXml2o616XroFdcbVzLceIby4lJ4XdMbtxt3cnMSeR\n387+xv7Y/ZbyMY3H8HKHly1JYnhqOFsvb+X+xvdXuy4FonKSZPMGJNkUonAmk8JfR6KZv+0Cp2LS\nsNOo2fNKHzyd7cwVclLhvavT/9RsA4/9U7bxXG3J0Zv0fH3sa6Izoll9cTUGk3UC0qJGC1rUaEFy\nbjJrLq4pcJ7pbaczvvn4Mo1VlL7E7EROJ50mKiOK3TG72R2zGzD/QpFlyLKqq1VpCXINooFnA0Jr\nhGJQDFxOv0zzGs3JNeZiUkzUdKmJ0WQeiFPbrXaZrd99IfUCv5z5heWnlxe6jGdz7+YsGrCoUrbM\nCnE9STZvQJJNIfIpisI/Z+LYfSGJf07HcS4uAwBnOw2z7m7B8NaB5vXOk8Ph98cg6mrLzLi/oW63\nMotr2allfLT/I3ycfIp8De7l4EVSTlKhZW52bgS6BPJ659cLTDIuKrcsfRbfn/yePGMeSTlJnEg4\nwdnks5YR3MVlp7bDx8mHEPcQPB08uZx+GV8nX8Y2GUuoTyhqlRow/xu5/hW10WRkd8xuwtPCaejZ\nkBMJJ8jQZ5CQnUBSThI7onagN+kB86pTfk5++Dn50cKnBS19WtKlZpcyS3SFKE+SbN6AJJtCmFsx\nfzt4ma+3X+RMbLplv5ezHePvqMP4rnVxyYqCDa/DyT8KnuDpw+BVt9TjOp5wnO9PfM/a8LUFymq5\n1uLhZg/TxKsJzWo0Q61Sk5GXweqLq0nMTiTQNRB/J38aezfGzc6t1GMTFVe2IZuItAj+ufQP4Wnh\npOSmEJ0RTQPPBng7eJNlyCIsJQwXnQsR6RFcybxyw/M5aZ3QaXRk67PJM+UB5kFk8dnxxYqnS2AX\n7m98v8wnKqo0STZvQJJNUZ0djkzhj0NR/Hk4iuQsc+uLTqNibMfatKvjSZ/GfjjaXW11eccHjHn5\nB3vWhabDIKg9NLmz1GLKyMvgw/0fsvnSZpJzkwHQqDTc0/AePOw9CPUJpVtgNxkAIUpNWEoYu2N2\nW0aCq1Vq4rPiCU8LZ9+VfaTkptz0HP7O/pgUEw09G+Lj6EMNxxrUcq1FsxrNaOjZsOxvQggbK24+\nJctVClGF5RlMJGbmciAimW1n49l4Ko6kzPzk0dNJx2Pd6zG8dU0C3P/zjeLw8vxE8+4F0LA/OBZc\nO/l2mRQTT2560moKnFENRzGiwQia1WhW6tcTAqCeRz3qedQrsvxM0hk2R26muXdz2vm3Iy03jdis\nWM4mnyXAOYBOAZ3kVbgQxSTJphBVSFaegR3nEjhzJZ3TselsOxNPeq71YBoXey39m/lxT9sg2tX2\nwk6rBkMeJF2EhLMQsROO/QppV/tJthoLLUeXWcx/nv/Tkmi+2P5F+tbui7+zf5ldT4jiaOTViEZe\njSzbjlpH/Jz9CPUJtWFUQlROkmwKUUUciEhizII95BlNVvs9nXQ422sZ0TqQ/s38aVbTLf919LmN\ncPB7CNsMeRkFT1qvDwz9pMxiNpgMfHLQfP7Z3WYzNGRomV1LCCGEbUiyKUQllmswcjEhkxUHo5i/\n7QIAfm723Blak1peTrSt7WmdXALEn4UTv8Ppv+HKsfz99u7mAT8+jaDxEGg0GMp4rr/jCcdJykmi\npnNNhtQdUqbXEkIIYRuSbApRCV1MyGTelvOsOX6F9Bzr1+TfPtyBpjWvjsTOSTW/Do8/DSf/hIhd\nkHg+v7JaC23GmZPL+n3K8Q5gS+QW3vn3HQB6BctyekIIUVVJsilEJXIqJo35W8P480g01+aR0GCk\nrhu8W3MHbaOXo/nRDRQTZMaBqZDVVzT20GgQNBsOdXuAk1e5xR+fFc/6iPWsvriao/FHAWjg2YBH\nmj9SbjEIIYQoX5JsClGBmUwKCRm5bD+XwKIdFzkZkwYotFWdZbL/CbpqTmCfeArygPCrB+Wl5Z9A\nYwdONUDnaJ6yqH4/CGgJ9i7leh+KorD89HJm751t2adT67i34b1MaT2lwi0zKIQQovRIsimEDRmM\nJmJSc4hKySYqOdvqz8vJWUSn5pBnMA/4qUEqT9rv4mGHbfjkRkBKEScd+yv4NgEHd7C3XRIXkxHD\nobhD2GvtWXB0AScTTwJQ2602E5pPoFetXng6lP5USkIIISoWSTaFKCdZeQZ+O3CZ9SdjiUrJJldv\nIiY1G0Ux4UYWXqp0PEnHU5WOvyqDxmSYPztm01ATQwvDcfOJcgE7F2h1P4T0hNQoqNXBPLgnOwU8\na9vsHvVGPYfjD7P89HI2XdpkWdscQIWKd7q8w7B6w6R/phBCVCOSbApRhtJz9CzacZHF/0aQlpNH\nV+UQIzU7qalKxIt0POwy8FRloMFU9EkU4FrXy4YDofWD0KA/aO0K1nVwL4vbuKHw1HC+PPIl0RnR\nnE0+S7Yh21Jmr7GnoWdD/J396Rvcl8Ehg8s9PiGEELYlyaYQpUhRFD5Yd4bTV9LJyDFwJPwKd2t2\n8KNmDV7aNLxV6YUf6OAOTt7g6GUesGP1p6d55R7POhDYtlzv50Z2Ru3kh5M/sCt6l9X+AOcABtYd\nyNjGY/Fz9rNRdEIIISoKSTaF+A+jSUGt4qavehVFIc9oIs9w9cto4mxMKnV3PM8g9SVUQHOHcOuD\n3AKh7cNQ+w5zcunkbU4ky3g+y9KQlpdGRGoEh+IOsfriak4knrCU9avdj6EhQ2nq3VRW/xFCCGFF\nkk1R7RlNCslZeaRk6Zn5605yLx9BBWg1akCFSgUKKq7NNaRCwaSAwXR9f0RzWbAqjvd02wpeJKg9\n9H4V6nQHtboc7ur2mRQTR+OPsi58HWeTz3Iw9iAGJX8qJUetI8PqDaN7UHe6B3W3YaRCCCEqskqd\nbH755ZfMnTuXhIQEOnfuzOeff069evVsHZYoR2dj00nIyCVHbyRHbyJHbyT7us9hsemkJsagxYRa\nZcJkNIDJgMlowGjQ45YTjX1uImpMaDHyne47KKQr5K3KcfTH4cGfzBtOXuARfPsnvUUmxUSOIYds\nQzZGxUimPpMsfRaoQKPSoFap0ag0pOelk5qbSmpeKqm5qSTnJBOdGc2JhBOEp4VbzqdRaQh0CaSR\nZyMGhwymW2A3nHRO5X5fQgghKpdKm2z+9ttvvPjii/z000+Ehoby6quvMnjwYI4fP45OV/FfSVZH\neqOJzFwDmXlGsv7zZ2augcTMPC4mZBCbkokhKw11bip2xiwUYx6Y9KhMBjDqwWRAbTLgYEgjRB2N\nE7moMaHDiA4DLioDXuhxJYtR6kh8VGk3DqyQvy5KcGcU1Ob2ymuzpwNce7WuUqGmkFftKhWodTh0\nfw5qtir5wyoGk2IiPS+dxJxEItMiuZB6gfMp5zmTdIaYzBgy9BlWo8FLwt3enX61+9ExoCOdAzrj\nbl/+A5CEEEJUbipFuf4naeXRu3dvmjVrxmeffQZAamoqfn5+rFixgkGDBt3w2OzsbJycnEhKjMfR\n0REUxZJPKFdHBSuK+f+uPRzl6g/ta8mH5alZjlOu1rvucSqKZTu//Np5leuOv/46+fVVVnGZz5Vn\nMqCYjJhQMCkmFBRMJhMmxYRJUVAwkmcwkmc0kmcwoDcZyTUa0RsNGI0mDCYjBsWAwWTEqJgwmAxk\n6/UkZGajN5oAEyaT+bWxSjGHZ1LApBhRAMWkWBIYk2J+Lqarz0cBMBnQmXJQG7Ix5GRiMuZhMupR\njAZQjGgxokOPg0qPIzm4qrJxJgdHVQ5O5OKgysGRvOsfLcp1CZ0C5utdK7/6ilu5ft91nxXV1cHc\nOlcUVJjUGhSV+uqXBpVGi8rJE+wcUVTmMmo0RKnRwPzMrz736//7Xr9PwfyQFBQMJgN6k97y3+Xa\nf8vrtwuc57r9JsVEWm4aKbkp5BnzMCpG9CY9RsWIwWQgU5+JUTFiNBkxKkZyjbk3TSYdtY44aBzQ\nqDU465xx0jpZYrp2Xjc7N9zs3XC3d8fD3gM3Ozf8nPyo416HJl5NpPVSCCFEoa7lU1lZWeZ8qgiV\ntmXz0KFDjB8/3rLt7u5Ow4YNOXz4cIFkU6/XYzDk9zXLzjZPzeLwUQgOusoz358ChNYt/9exxXLt\nMWqufumAov/eFcH+6ld5MF390oMxG7KvK8o8DRHlFMZtcrVzxdPek5ouNannUY+6bnVp5NWIYLdg\nXHWu6CrBwCMhhBBVW6VNNtPS0vDw8LDa5+npSWpqaoG6s2bN4q233iqwP1fRoVbMWdL1zbsKqkI/\n8986KgqtZ91UXPi5/nte5bqaN6pnZzKfXX21vhpQKaC+WjN/21yuuXqc5uo+NaBVFDSo0CiKOTdU\nruaI17UgXkvFru0p+KeqwH4VgEqFotKASotKo0Wt1qBSqVGr1ahUV7/UGlBrQa1FpbEHrQ6V2g6V\nRgcaHSqNHSqV9SAaFSrLK2s1asyP37zP8j+Vyqru9X+aQ1OhRl2setefU3X1v3WBfdfXVanQqDTY\naewKXEOtKuKa1z5f3Var1LjaueJh74G9xh6tWotGpUGn1llaJnVqnaW/pZ3GDq260v4TFkIIUU1U\n2p9ULi4upKVZ98VLTU3F1bXg8nwzZszgxRdftGxnZ2fj7e2N/WuXsb9Bs29FdMDWAQghhBBC3ILK\nMQdLIVq2bMmBA/mpV0ZGBmfPniU0NLRAXZ1Oh6Ojo9WXEEIIIYQoe5U22Zw4cSLffvstu3btIiMj\ng5dffhkfHx/69+9v69CEEEIIIcRVlfY1+oMPPsilS5e48847SUlJoX379qxatQp7+/IaYCKEEEII\nIW6m0k59dD2TyYT6FlZlKe5QfSGEEEIIUbji5lOV9jX69W4l0RRCCCGEEOVHsjQhhBBCCFFmJNkU\nQgghhBBlRpJNIYQQQghRZiTZFEIIIYQQZabSTn10O64NwL+2RroQQgghhLg11/Kom01sVC2TzfT0\ndAC8vb1tHIkQQgghROWWnp6Ok5NTkeXVMtl0cXEBICEh4YYP52a6dOnCzp07byuWinCOa2vFJyYm\nlnje0YpwH6VxDnkW+UrjWZRGHPIsSu/40jhHRXkWFeEc8iysyffPfNXlWWRlZVGjRg1LXlWUapls\nXpuX08nJ6ba+QajV6tueFL6inAO4rXXjK8p9yLMo3XPA7T2L0ohDnkXpHV9a5wDbP4uKdA55Ftbk\n+2e+6vIsbjbfuQwQug2PPfZYlTlHRYihopyjIsRQUc5RGm43DnkWpXd8aZ2jNFSUe6kIz6Oi3Ic8\ni9I9R0WIoaKco0osV3mrZLlKa/I88smzyCfPIp88i3zyLPLJs7AmzyNfdXkW1Wq5ylul1Wp54403\n0GqrZS+CAuR55JNnkU+eRT55FvnkWeSTZ2FNnke+6vIsinuf1bJlUwghhBBClI9q2bIphBBCCCHK\nhySbQgghhBCizEiyKYQQQgghykylTjYVRWHFihWMHj2aXr168dRTTxEeHm5VJzo6mkmTJtGlSxfu\nu+8+Dh06ZCmLi4ujXbt2lq8lS5YUuMb+/ft56KGH6NatGyNHjmTlypVlfVsltnXrVsaNG0ePHj14\n5JFHOHLkiFV5WloaL7zwAl27dmX48OFs3LjRqrxLly6WZzF79uwC579w4QKTJk2ie/fujB49mj17\n9pTp/dyOw4cPM2nSJHr06MHYsWPZtm2bVXleXh4zZ86kR48eDBo0iJ9//rlUj69IkpKSePvtt+nX\nrx933nknX375JXq93qrOX3/9xdChQ+nWrRuvv/46WVlZxT5+3rx5Vv+OKvIysFlZWcydO5fBgwcz\naNAg3nvvPTIzM63q7Nixg5EjR9K1a1eeeeYZEhMTi318cc5fURgMBr755huGDx9Ov379eOWVV0hI\nSLCqc/LkSR544AG6dOnChAkTrL6/Fuf4NWvWMGbMGHr27MmTTz7JhQsXyuPWbtnt/iwpzvHXHD16\nlPbt2zNjxowyvKPbc+LECSZPnkyPHj0YM2ZMgZ8VBoOBOXPm0LNnTwYMGMAPP/xwS8ePHTvW6ntG\nu3btOH78eJnfV0lERkby/PPP06tXL0aMGMFPP/1UoM6iRYvo168fvXr14uOPP8ZoNN7S8WFhYTzx\nxBN069aNyZMnEx8fX6b3ZBNKJTZ79mzlnnvuUX788Udl8+bNysiRIxV/f38lPj5eURRFyc7OVho0\naKCMGDFCWb9+vfLcc88pLi4uyvnz5xVFUZS8vDxl3759yr59+5R69eopH3zwgdX5z58/rzg5OSnP\nP/+8sm3bNuWzzz5T7OzslL///rvc7/Vmfv75Z6V3797KDz/8oGzZskWZMmWK4uTkpJw4ccJSp1ev\nXkrXrl2VNWvWKHPmzFHs7OyUrVu3WsoPHDig7Nu3T+nRo4cyadIkq/NHRUUpnp6eyuTJk5UtW7Yo\ns2fPVpycnJTDhw+X2z0W1+7du5W2bdsqCxYsULZu3aq89dZbilarVTZt2mSp8/DDDytNmjRRVq5c\nqSxcuFBxcnJSli5dWirHVzStW7dW3nzzTWXDhg3K0qVLlcDAQGXKlCmW8pUrVyoODg7K559/rqxa\ntUpp3bq1cvfddxf7+KioKGXfvn3K119/rQBKenp6ud7frRg0aJDy3HPPKatXr1ZWrFihNG3aVBk6\ndKil/MCBA4qDg4Py9ttvK+vWrVP69euntGvXTjEajcU6/mblFcmkSZOUiRMnKitWrFDWrl2rdOvW\nTWnRooWSl5enKIqiREdHK15eXsrkyZOVDRs2KA888IASFBSkpKamFuv4ZcuWKffee6/yyy+/KJs3\nb1bGjh2r+Pn5KQkJCTa756Lc7s+Smx1/TV5entK6dWulSZMmyujRo8v9Povj2LFjSsuWLZV58+Yp\nW7ZsUd577z1Fq9Uqf/31l6XOlClTlJCQEOWPP/5QvvvuO8XNzU2ZP39+sY9v2bKl8vbbb1t+/u7b\nt0/JyMgo93u9mbS0NKVhw4bKRx99pGzevFn56quvFFdXV+WTTz6x1Pnkk08UT09PZcmSJcrvv/+u\n/L+9M4+J6mrD+IOCM6LAsCgga4EREVq0g0XADUm0wWoXUpvQuqBdMFHRNoaqoTQ2ktZS09I2NrVt\nLG1sY6rVpG6hpRIa4loqoVUEBEVFSBiWYRkQ5vn+IHPjZQZm/JjRwZxfYuJ93/Pc3Pfce895z5lz\nLkFBQdy2bZvV+oqKCnp6ejIrK4u///47Dxw4wPT09Iceq70Z08lmd3e37Livr49KpZK//PILSbKw\nsJAeHh7U6/VSmXnz5jErK8vkXNHR0SbJ5oEDBzht2jSZbfny5bKO1lHo6uoysUVGRvLDDz8kSZaV\nldHJyYk3b96U/GvXruWyZctMdM8//7xJsvnxxx9TrVbLbGlpaQ75UvT09NBgMMhsS5cuZWZmJsnB\n5MjJyYl//fWX5H///fcZHR1tE72jMfQ92b9/P318fKTjxMREbtmyRTqurKwkAF65csUqvZHS0lKH\nTzaHxlJUVEQnJyfpmtPT0/nCCy9Ifq1WSxcXF548edIqvSW/IzH0Wuvq6ghAGkC+9957jImJkfwD\nAwOcNm0aP//8c6v0PT09Mv+9e/fo7OzM48eP2zyW0TLavsSS3sjOnTu5adMmrlmzxmGTTb1eLw2u\njKSlpfG1114jSba0tNDZ2ZmnTp2S/Pn5+QwJCbFKTw4mmz/88IOdIrAd/f39sntOktnZ2Zw7dy5J\n0mAw0M/Pj1988YXkP3r0KJVKJXU6nUU9OTgJZOxbjAzVPA6M6Z/Rh35A9Pbt29Dr9QgMDAQAnD17\nFklJSVAoFFKZ5ORknD171qrzz5o1C1qtFteuXQMAtLe3o7KyEnPmzLFRBLZj6N947+npQWNjo6wu\n1Go1goKCpDIPUhetra2YOnWqzObr64uysrJRXrntUSqVcHJyko5Joq6uTqqLc+fOYcKECUhMTJTK\nJCcn499//4VOpxu13tEY+p7U1tZKsQwMDODixYtYvHix5I+OjsaUKVOkZ2Mk/VjDXCwqlQqTJk0C\nMPie3F8Xnp6emDVr1oh1cb/ekt+RMHet48aNg7+/PwDTuhg3bhwWLlw4Yl3cr1cqlTL/2bNn4eTk\nhKioKJvHMlpG25dY0gPAhQsXcOjQIbNLlBwJhUJh8qcHr1+/LsVy6dIl9Pf3Izk5WfInJyfjxo0b\nuHv3rkW9kb1792LevHlIT0/Hn3/+aadoRsf48eNl9xyQt3/19fW4e/eu7D1JTk6GXq/HP//8Y1Hf\n0dGBkpISJCQkID09HYsWLcLWrVvR0dFh58gePo/N10Z7e3uRkZGBFStWID4+HgDQ0tICHx8fWTkf\nHx/ZGqyRiI2NxXfffYf4+HgEBASgoaEBmzdvxurVq21+/baEJDIzMxEWFoaXX34ZwPB1odVqQVKW\nXJkjKSkJ+fn5KC8vx+zZs3H37l0cO3YM7e3tdovDVuTm5qK7uxuZmZkABuvC29tbFrOxbrRaLdzc\n3GyqdyTOnTuHgoICaY2pTqdDX1+f1e/JUP1Ypra2Fjk5Odi9e7d0Lx+kzTCnfxC/I6HVarFx40Zs\n2bJFGlQOVxfV1dVW6YHBQe/8+fPR1dWFxsZGHD58GE888YR9gxklo+1LzOn1ej3Wrl2Lffv2OeTA\nYyT27NmD27dvIysrC8BgXbi7u2PChAlSGWPdtLS0wM/Pb0Q9ABw8eBDd3d3o6enBmTNn8Oyzz6Kw\nsBCvvPLKQ4jo/+fw4cM4ceKENMlivP/3Pxvu7u5wcXEx+2wM1Tc2NsJgMCAnJwe7du1CUFAQ8vPz\nsXDhQpSXl5skqmOZxyLZ1Ov1SEtLAzD4EBtRKBQmi/O7urpMRtzDcf78eWzcuBE7duxAQkICqqur\nsX37dsyYMQOvvvqq7QKwISSxYcMGXLhwAcXFxVKDMFxdKBQKqzrC1NRUbN26FYmJiQgNDUVbWxsW\nLlyIkpISu8RhK/Ly8vDNN9+guLgY3t7eAIavC8B0Nma0ekfi/PnzSE1Nxaeffoply5YBgNSYWfOe\nmNOPVWpqapCSkoLMzExs2LBBslvbZgynt9bvSLS0tGDJkiWIi4vDnj17JLu1dTGc3niOr776Cl1d\nXfjtt9+QkZGB0tJSh5zdBEbflwyn37lzJ5KSkpCSkmKvS7cLBQUFyM/PR1FRkZREKhQKdHd3yyYp\nhmv/zOkBYObMmdL/58+fj87OTuzdu9ehk82jR49i/fr1OHLkCGJjYwHI288pU6YAAO7du4d79+6Z\n1IU5vbF/fuutt7BmzRoAwNNPPw0vLy+UlZXJZo/HPI/yN3xboNPpmJyczKVLl5qsm8nLy+PMmTNl\nttWrVzMtLc3kPObWbL7xxhsmi/tzc3M5Z84cG129benv7+eqVasYGxvL5uZmme/QoUN0c3Njb2+v\nZNu1axdjY2NNzmNuzaYRnU7HyspK6nQ6rl+/nitWrLBpDLZkx44dDA4OZnV1tcx+/vx5AuCdO3ck\nW2FhIVUqlWyt5mj1jsSZM2eoUqlYWFho4gsODmZBQYF03NbWRhcXFxYVFVmlNzIW1mySg2tS/f39\nmZeXZ+JbsGAB3377bel4YGCAfn5+3L9/v1V6a/yOxJ07dxgdHc3XX3/dZJ3dunXrTN7vxMREZmdn\nW6U3xzPPPMOcnBzbXLyNGW1fMpI+ICCAUVFR1Gg01Gg09Pb2pqenJzUaDfv7++0X1CjYvXs3/f39\nZZtMSfK///4jAF67dk2yHTlyhEqlUtocNpLeHAUFBYyIiLDdxduYH3/8kSqVisXFxTJ7V1cXnZ2d\neeLECclWUVFBALx+/bpFfX9/PydNmiRrXwwGA5VKJX/99Vf7BPOIGNPJZmtrK+fOncsXX3xRlkQZ\nqa6uprOzM48dO0aSvHr1Kt3c3Hj48GGTsuaSzQ8++IAhISGyHYkpKSlmk9VHTW9vL1966SXGx8dT\nq9Wa+Nvb2+np6clPPvmEJNnU1MSQkBB+9NFHJmWHSzb37dsnJVOnT5+mQqFgaWmpjSMZPQaDgZs2\nbaJareaNGzdM/AMDA1Sr1dy8eTPJwQYjLi6OGzZssIne0Th58iQ9PDxMNisYyc7OZlRUFNva2kiS\nOTk5DAgIkN4pS3ojYyHZvHjxIn18fPjZZ5+Z9e/bt4++vr7SRrpvv/2WkyZNYlNTk1V6S35Hor6+\nnuHh4czKyjI7SCoqKqJCoeDff/9NcnDAMX78eJaXl1ul379/v2xAVlFRQQ8PD4f8asNo+xJL+suX\nL8t2Xj/33HNcsmQJL1y4YN/A/k+2b9/OkJAQk4G2kVmzZnHdunUkBzezzJ8/n6tWrbJKf+XKFf78\n88/SM2McsAw3wfGo+frrr+nl5cWysjKz/rS0NKakpLCvr48Gg4Hp6elMSEiwWr9u3TouWLBAGqB8\n//33dHV1lb07jwNjOtncunUrATA2NlYaMWo0Gh48eFAqY+wswsPDqVQqZbMWJJmSkkKNRkOlUsnA\nwEBqNBrpswSdnZ1cvnw5XV1dGRMTQ5VKRY1Gw7q6uocZplV8+eWXBMAZM2bI6mLPnj1SmVOnTtHb\n25uhoaF0dXXlypUrZQ3j2rVrqdFoqFKpOGXKFGo0Gr7zzjuSf9u2bfT19WVQUBCnTp3Kn3766aHG\naC3Hjx8nAIaFhcnq4v4d15cuXWJwcDADAgLo7u7ORYsWsbW11SZ6R2PixInSLMr9/4z3vquri6mp\nqZw8eTKDg4Pp7+8vG0RY0v/xxx/UaDSMjIwkAM6ePZsajYYNDQ2PJN6RiIqKoqurq0ks9fX1JAdn\nGjIyMjhx4kSGhYXRw8NDNji1pLfkdySWL1/O8ePHm1zr/fc+NzeXSqWSERERnDhxoiyJtqQ/ffo0\np0+fzoiICIaHh9PNzY3vvvuuQ87+j7YvsUZ/P468G72kpIQAGBISIovlzTfflMpUVlYyPDyc/v7+\nVKlUTEhIkCZlLOnb29u5Zs0aenl5MSoqikqlkitXrmRHR8cjiXckbt26RQD08/OTxZKamiqVaWxs\nZFxcHL28vOjr68vIyEhWVVVZrddqtVy8eDG9vLyoVqvp7e1tcWA/FnEiyYf+272NuHnzJpqbm03s\nwcHBskXqnZ2duH79OgICAqR1d0YuX75s8oFrPz8/2c45rVaLO3fuwNvbW9pp6Wg0Nzfj5s2bJvap\nU6ciODhYOu7t7UV1dTW8vLwwbdo0WdmrV6+is7NTZvP09ER4eLh0rNVq0dTUBLVaDWdnx1zy29bW\nhpqaGhO7SqVCRESEdDwwMICqqiq4uroiNDTUZnpH49KlSzD3mms0Gtl63YaGBnR0dCAyMlJ2by3p\nW1tbUVtba+J/8sknHW6Be2VlJfR6vYk9JiZGtsaqqakJzc3NUKvVMrslvbXndwSqq6vNbvBTq9Xw\n8PCQjltbW9HQ0IDQ0FC4u7s/sL6urg4GgwGBgYEO9zwYGW1fYq3eSH19PQwGA8LCwmwUge3Q6XSo\nqqoysbu5uSEyMlI6NhgMqKqqgkKhkMVhrV6n0+HWrVsICgrC5MmTbRyFbejr60NFRYWJfcKECXjq\nqadktpqaGgwMDGD69OlSu/og+oaGBnR3dyMsLAwuLi42jMIxGNPJpkAgEAgEAoHAsRnT39kUCAQC\ngUAgEDg2ItkUCAQCgUAgENgNkWwKBAKBQCAQCOyGSDYFAoFAIBAIBHZDJJsCgUAgEAgEArshkk2B\nQCAQCAQCgd0QyaZAIBAIBAKBwG6IZFMgEAgEAoFAYDdEsikQCAQCgUAgsBsi2RQIBAKBQCAQ2A2R\nbAoEAoFAIBAI7Mb/AOwYOA/i+zhRAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots(figsize=(8, 3.5))\n",
        "(supply.loc[\"2018\":] / 1e9).plot(ax=ax)\n",
        "ax.set_xlabel(\"\")\n",
        "ax.set_ylabel(\"Billions of dollars\")\n",
        "ax.set_title(\"Stablecoin supply\")\n",
        "plt.show()"
      ],
      "id": "c0d69bb9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## How close to a dollar?\n",
        "\n",
        "Yahoo Finance has daily prices for both coins. Before 2021 the prices it\n",
        "reports for stablecoins are noisy, so we start in 2021. We measure the\n",
        "deviation from the peg in basis points, hundredths of a percent."
      ],
      "id": "d37f22d5-12f0-4a62-bee9-3cb7111a13a3"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<style type=\"text/css\">\n",
              "</style>\n"
            ]
          }
        }
      ],
      "source": [
        "prices = yf.download([\"USDT-USD\", \"USDC-USD\"], start=\"2021-01-01\", end=\"2026-11-01\",\n",
        "                     auto_adjust=True, progress=False)\n",
        "close = prices[\"Close\"].rename(columns={\"USDT-USD\": \"USDT\", \"USDC-USD\": \"USDC\"})\n",
        "deviation = 10_000 * (close - 1)\n",
        "\n",
        "pd.DataFrame({\n",
        "    \"days\": close.count(),\n",
        "    \"within 10 bp\": (deviation.abs() <= 10).mean(),\n",
        "    \"within 50 bp\": (deviation.abs() <= 50).mean(),\n",
        "    \"largest fall below $1 (bp)\": deviation.min(),\n",
        "}).style.format({\"within 10 bp\": \"{:.1%}\", \"within 50 bp\": \"{:.1%}\",\n",
        "                \"largest fall below $1 (bp)\": \"{:.0f}\"})"
      ],
      "id": "996fd075"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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LXrgZ1B9Vm6JBq8l92f4aeYKobx9mjH4tPLwVZc0raHI+UFc5FT6aWifVtEgn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\nZv78+Q4z6sPCwoiKirLfVxSFs2fPEhYW5lR5XgaDAYPBUMx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vTXP2uBS2vbPlomAWi4Wx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\nB2JqMQAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots(figsize=(8, 3.2))\n",
        "deviation.plot(ax=ax, lw=0.8)\n",
        "ax.axhline(0, color=\"0.5\", lw=0.5)\n",
        "ax.legend(title=None, frameon=False)\n",
        "ax.set_xlabel(\"\")\n",
        "ax.set_ylabel(\"Deviation from $1 (bp)\")\n",
        "plt.show()"
      ],
      "id": "f1adc0e9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Since 2021, both coins have closed within half a percent of a dollar on\n",
        "almost every day, and USDC within a tenth of a percent on most of them.\n",
        "The exception stands out: a fall of almost 300 basis points in USDC’s\n",
        "daily closing price in March 2023, while USDT traded above a dollar the\n",
        "same weekend, as money moved from the coin whose reserves were in doubt\n",
        "to the one whose reserves had not been at the failed bank. Daily closing\n",
        "prices also hide how far USDC fell during the weekend.\n",
        "\n",
        "## The weekend: hourly prices\n",
        "\n",
        "Bitstamp, an exchange that trades USDC against the dollar, publishes\n",
        "hourly prices without an account. We take the hours from March 9 to 15,\n",
        "2023 (the timestamps below are Unix time, seconds since 1970, in UTC)."
      ],
      "id": "e2a07a9c-3269-4e54-bc79-8ea274a52974"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Lowest price: 0.8053 at Saturday, March 11, 07:00 UTC"
          ]
        }
      ],
      "source": [
        "def bitstamp_hourly():\n",
        "    start, end = 1678320000, 1678838400        # March 9 and March 15, 2023, midnight UTC\n",
        "    url = \"https://www.bitstamp.net/api/v2/ohlc/usdcusd/\"\n",
        "    params = {\"step\": 3600, \"start\": start, \"end\": end, \"limit\": (end - start) // 3600}\n",
        "    rows = requests.get(url, params=params, headers=HEADERS, timeout=60).json()[\"data\"][\"ohlc\"]\n",
        "    hourly = pd.DataFrame(rows).astype(float)\n",
        "    hourly.index = pd.to_datetime(hourly[\"timestamp\"].astype(int), unit=\"s\")\n",
        "    return hourly[\"low\"]\n",
        "\n",
        "low = cached(\"bitstamp_usdc_hourly_low_202303\", bitstamp_hourly)\n",
        "print(f\"Lowest price: {low.min():.4f} at {low.idxmin():%A, %B %d, %H:%M} UTC\")"
      ],
      "id": "3f7f4210"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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sjUqvspUjkoPDAkwF+pnVb2tS9ipbmQVSWFHOK6nn9Ba8zps3D7t27cKRI0cQ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\na94AAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots(figsize=(8, 3.5))\n",
        "low.plot(ax=ax, lw=1)\n",
        "# The news, by day (the exact hours are not shown)\n",
        "events = [(\"2023-03-10\", \"2023-03-11\", \"Friday: SVB fails,\\nCircle discloses\\n$3.3 billion at SVB\"),\n",
        "          (\"2023-03-12 21:00\", \"2023-03-13 04:00\", \"Sunday evening (U.S.):\\ndeposits guaranteed\")]\n",
        "for start, end, label in events:\n",
        "    ax.axvspan(pd.Timestamp(start), pd.Timestamp(end), color=\"0.9\")\n",
        "    ax.annotate(label, (pd.Timestamp(start), 0.83), xytext=(3, 0),\n",
        "                textcoords=\"offset points\", fontsize=8)\n",
        "ax.set_xlabel(\"Time (UTC)\")\n",
        "ax.set_ylabel(\"USDC price, hourly low\")\n",
        "plt.show()"
      ],
      "id": "3333c668"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The shaded periods mark the two pieces of news, by day; the figure does\n",
        "not show the exact hours. On Friday, Silicon Valley Bank failed and\n",
        "Circle disclosed that 3.3 billion dollars of USDC’s reserves, about 8%\n",
        "of the total, were deposited there. On Sunday evening, U.S. regulators\n",
        "announced that all depositors would be made whole, and Circle stated\n",
        "that the money “will be fully available when U.S. banks open tomorrow\n",
        "morning” (Circle 2023). The price fell furthest early on Saturday, well\n",
        "below the 0.92 that would have been fair even if every dollar at the\n",
        "bank had been lost, and was close to a dollar again within hours of the\n",
        "announcement.\n",
        "\n",
        "## The run: redemptions\n",
        "\n",
        "A depeg is visible in the price; a run shows up in the supply, as\n",
        "holders redeem coins for dollars and the coins are destroyed."
      ],
      "id": "54dd7c06-b3e9-4d79-b51b-0cd37015d1d0"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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iz3m9XubNm8fQoUObrTgRObri4mIef/xxiouL412KiIh0Yk0aMzly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\n1QE27K/kq/2VfLW/ik0HqzhQ4aOkOkBJdYB1+yq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          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "USDC supply on 2023-03-10: 43.2 billion\n",
            "USDC supply on 2023-03-31: 32.6 billion\n",
            "USDC supply on 2023-04-30: 30.4 billion"
          ]
        }
      ],
      "source": [
        "window = supply.loc[\"2023-02-01\":\"2023-05-31\", [\"USDC\", \"USDT\"]] / 1e9\n",
        "fig, ax = plt.subplots(figsize=(8, 3.5))\n",
        "window.plot(ax=ax)\n",
        "ax.axvline(pd.Timestamp(\"2023-03-10\"), color=\"0.5\", ls=\":\", lw=1)\n",
        "ax.set_xlabel(\"\")\n",
        "ax.set_ylabel(\"Billions of dollars\")\n",
        "plt.show()\n",
        "\n",
        "usdc = supply[\"USDC\"]\n",
        "for date in [\"2023-03-10\", \"2023-03-31\", \"2023-04-30\"]:\n",
        "    print(f\"USDC supply on {date}: {usdc.loc[date] / 1e9:.1f} billion\")"
      ],
      "id": "6a38d42a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The price recovered within days, but the supply kept falling for weeks:\n",
        "holders who had seen the peg break redeemed their coins once they could\n",
        "do so at par. Over the same weeks USDT grew. Some of the money that left\n",
        "USDC moved to the other large stablecoin, whose reserves had not been at\n",
        "the failed bank.\n",
        "\n",
        "## What we learned\n",
        "\n",
        "- In normal times, the peg of the large reserve-backed stablecoins is\n",
        "  tight: since 2021, USDC has closed within 10 basis points of a dollar\n",
        "  on 98.5% of days and USDT on 88%, and both within 50 basis points on\n",
        "  almost every day.\n",
        "- The peg broke when part of the reserves became uncertain, and it broke\n",
        "  by more than the reserves at risk could justify. That is consistent\n",
        "  with a run, in which the last to redeem may bear the losses and\n",
        "  everyone wants to be first, and with a market that could not reach the\n",
        "  issuer until the banks opened on Monday.\n",
        "- A government guarantee of the bank deposits, not anything the\n",
        "  stablecoin did, ended the episode. The GENIUS Act would not have\n",
        "  prevented it: deposits at insured banks still count as reserves, and\n",
        "  the law gives holders priority in an issuer’s failure, not insurance.\n",
        "\n",
        "## Try it\n",
        "\n",
        "1.  DAI, a crypto-collateralized stablecoin, held a large share of its\n",
        "    collateral in USDC in March 2023. Download DAI’s daily price\n",
        "    (`DAI-USD` on Yahoo Finance) and check what happened to it that\n",
        "    weekend.\n",
        "2.  How much did USDT’s supply grow between March 10 and April 30, 2023,\n",
        "    compared with the fall in USDC’s supply?\n",
        "3.  Using the hourly data, how many hours did USDC spend more than 1%\n",
        "    below a dollar?\n",
        "\n",
        "Circle. 2023. “\\$3.3 Billion of USDC Reserve Risk Removed, Dollar de-Peg\n",
        "Closes.” March 13.\n",
        "<https://www.circle.com/es/pressroom/3-3-billion-of-usdc-reserve-risk-removed-dollar-de-peg-closes>."
      ],
      "id": "941681af-68fb-499f-9075-5bd4288ebecc"
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