Code/vowel_plot.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "fe612eba",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Input vowels\n",
    "non_native = {\n",
    "    'i': [[276, 2291, 2990], [356, 2198, 3163], [290, 1972, 3029]],\n",
    "    'e': [[405, 2142, 2889], [532, 2008, 2910], [388, 1836, 2743], [374, 2129, 2967], [386, 1893, 2742], [374, 2129, 2967], [386, 1893, 2742]],\n",
    "    'ɛ': [[552, 1969, 2735], [480, 1910, 2733], [559, 1907, 2658], [417, 1701, 2601]],\n",
    "    'y': [[312, 1986, 2946], [311, 2161, 2726], [284, 1978, 3054]],\n",
    "    'ø': [[480, 2065, 2600], [514, 1672, 2817], [389, 1616, 2780], [457, 1991, 2739], [532, 2002, 2763], [371, 1661, 2625]],\n",
    "    'œ': [[496, 1917, 2584], [608, 1847, 2856], [450, 1438, 2500]],\n",
    "    'u': [[380, 1994, 2977], [322, 1545, 2467], [282, 1679, 2703]],\n",
    "    'o': [[547, 1347, 2810], [518, 1185, 2775], [392, 1151, 2822]],\n",
    "    'ɔ': [[615, 1540, 2865], [507, 1121, 2820], [515, 1250, 2542]],\n",
    "    'a': [[790, 1576, 2740], [861, 1513, 2667], [506, 1252, 2547], [723, 1582, 2611], [861, 1477, 2730], [578, 1333, 2559]]\n",
    "}\n",
    "\n",
    "native = {\n",
    "    'i': [[301, 2080, 3239], [218, 1942, 3117], [411, 2221, 3182], [275, 1866, 3083], [316, 2190, 3251]],\n",
    "    'e': [[360, 2053, 2749], [326, 1892, 2851], [450, 2295, 3064], [360, 1886, 2764], [377, 2002, 2693], [398, 2204, 3000], [364, 1862, 2703], [482, 1941, 2684]],\n",
    "    'ɛ': [[469, 1864, 2544], [453, 1612, 2386], [497, 1903, 2653], [430, 1673, 2681], [532, 2092, 2967], [508, 1690, 2685], [498, 1707, 2712]],\n",
    "    'y': [[296, 1968, 2415], [253, 1823, 2581], [302, 2116, 2953], [284, 1823, 2998], [355, 2129, 3008]],\n",
    "    'ø': [[355, 1610, 2488], [349, 1478, 2330], [501, 1706, 2525], [354, 1459, 2866], [362, 1583, 2615], [347, 1647, 2482], [359, 1691, 2537], [407, 1742, 2834], [343, 1488, 2962], [385, 1610, 2639]],\n",
    "    'œ': [[467, 1600, 2507], [428, 1489, 2506], [564, 1671, 2842], [482, 1390, 2549], [515, 1405, 2728]],\n",
    "    'u': [[350, 1661, 2892], [279, 2017, 3314], [369, 1220, 2747], [366, 1441, 3118], [499, 1737, 2767]],\n",
    "    'o': [[357, 1172, 2600], [372, 1821, 3106], [384, 1115, 2748], [392, 1014, 2916], [435, 1400, 2602]],\n",
    "    'ɔ': [[505, 1073, 2781], [486, 1035, 2437], [595, 1315, 2930], [549, 1080, 2627], [540, 1132, 2420]],\n",
    "    'a': [[605, 1217, 2564], [520, 1197, 2652], [820, 1556, 2882], [665, 1271, 2585], [606, 1223, 2545], [603, 1531, 2526], [501, 1337, 2580], [842, 1687, 2521], [609, 1347, 2759], [620, 1404, 2536]]\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "52d729e2",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import matplotlib.cm as cm\n",
    "from scipy.stats import ttest_ind\n",
    "import scipy.stats as st\n",
    "import spm1d\n",
    "\n",
    "colors = dict(zip(native.keys(), cm.rainbow(np.linspace(0, 1, len(native)))))\n",
    "colors = dict(zip(native.keys(), ['#1f77b4', '#ff7f0e', '#2ca02c', '#d62728', '#9467bd', '#8c564b', '#e377c2', '#7f7f7f', '#bcbd22', '#17becf']))\n",
    "\n",
    "def brighter(color, amount=0.5):\n",
    "    \"\"\"\n",
    "    Brightens a color\n",
    "    \"\"\"\n",
    "    r, g, b, a = color\n",
    "    return np.array([1-((1-r)*amount), 1-((1-g)*amount), 1-((1-b)*amount), a])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d9d3bbbf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x1080 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot vowels for native and non-native speakers (F1, F2)\n",
    "fig, ((ax1, ax2)) = plt.subplots(1, 2, figsize=(20, 15))\n",
    "plt.rcParams.update({'font.size': 16})\n",
    "for ax, data in zip([ax1, ax2], [non_native, native]):\n",
    "    f1s = []\n",
    "    f2s = []\n",
    "    f3s = []\n",
    "    labels = []\n",
    "    for key, val in data.items(): # Store formants on a per-vowel basis\n",
    "        cur_f1s = []\n",
    "        cur_f2s = []\n",
    "        cur_f3s = []\n",
    "        for f1, f2, f3 in val:\n",
    "            cur_f1s.append(f1)\n",
    "            cur_f2s.append(f2)\n",
    "            cur_f3s.append(f3)\n",
    "        labels.append(key)\n",
    "        f1s.append(cur_f1s)\n",
    "        f2s.append(cur_f2s)\n",
    "        f3s.append(cur_f3s)\n",
    "    for cur_f1s, cur_f2s, label in zip(f1s, f2s, labels):\n",
    "        ax.scatter(cur_f2s, cur_f1s, s=160, label=label, color=colors[label])\n",
    "    ax.set_xticks(np.linspace(900, 2100, 5))\n",
    "    ax.set_yticks(np.linspace(200, 900, 8))\n",
    "    ax.set_xlabel('F2 (Hz)')\n",
    "    ax.set_ylabel('F1 (Hz)')\n",
    "    ax.set_title('Non-native' if data == non_native else 'Native')\n",
    "    ax.grid(True)\n",
    "    ax.invert_xaxis()\n",
    "    ax.invert_yaxis()\n",
    "    ax.tick_params(axis=\"x\", labelsize=14)\n",
    "    ax.tick_params(axis=\"y\", labelsize=14)\n",
    "    ax.legend(loc=\"upper right\")\n",
    "plt.savefig('both_f1f2.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "271200e9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot vowels for native and non-native speakers, on a single chart (F1, F2)\n",
    "fig, ((ax)) = plt.subplots(1, 1, figsize=(20, 15))\n",
    "plt.rcParams.update({'font.size': 16})\n",
    "ax.invert_xaxis()\n",
    "ax.invert_yaxis()\n",
    "for data in [non_native, native]:\n",
    "    isnat = data == native\n",
    "    f1s = []\n",
    "    f2s = []\n",
    "    f3s = []\n",
    "    labels = []\n",
    "    for key, val in data.items():\n",
    "        cur_f1s = []\n",
    "        cur_f2s = []\n",
    "        cur_f3s = []\n",
    "        for f1, f2, f3 in val:\n",
    "            cur_f1s.append(f1)\n",
    "            cur_f2s.append(f2)\n",
    "            cur_f3s.append(f3)\n",
    "        labels.append(key)\n",
    "        f1s.append(cur_f1s)\n",
    "        f2s.append(cur_f2s)\n",
    "        f3s.append(cur_f3s)\n",
    "    for cur_f1s, cur_f2s, label in zip(f1s, f2s, labels):\n",
    "        ax.scatter(cur_f2s, cur_f1s, s=160 if isnat else 60, label=label, color=colors[label])\n",
    "ax.set_xticks(np.linspace(900, 2100, 5))\n",
    "ax.set_yticks(np.linspace(200, 900, 8))\n",
    "ax.set_xlabel('F2 (Hz)')\n",
    "ax.set_ylabel('F1 (Hz)')\n",
    "ax.set_title('Vowels')\n",
    "ax.grid(True)\n",
    "ax.tick_params(axis=\"x\", labelsize=14)\n",
    "ax.tick_params(axis=\"y\", labelsize=14)\n",
    "ax.legend(loc=\"upper right\", ncol=2, handletextpad=0, columnspacing=1)\n",
    "plt.savefig('all_f1f2.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "78de13dc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x1080 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot vowels for native and non-native speakers (F2, F3)\n",
    "fig, ((ax1, ax2)) = plt.subplots(1, 2, figsize=(20, 15))\n",
    "plt.rcParams.update({'font.size': 16})\n",
    "for ax, data in zip([ax1, ax2], [non_native, native]):\n",
    "    f1s = []\n",
    "    f2s = []\n",
    "    f3s = []\n",
    "    labels = []\n",
    "    for key, val in data.items():\n",
    "        cur_f1s = []\n",
    "        cur_f2s = []\n",
    "        cur_f3s = []\n",
    "        for f1, f2, f3 in val:\n",
    "            cur_f1s.append(f1)\n",
    "            cur_f2s.append(f2)\n",
    "            cur_f3s.append(f3)\n",
    "        labels.append(key)\n",
    "        f1s.append(cur_f1s)\n",
    "        f2s.append(cur_f2s)\n",
    "        f3s.append(cur_f3s)\n",
    "    for cur_f2s, cur_f3s, label in zip(f2s, f3s, labels):\n",
    "        ax.scatter(cur_f3s, cur_f2s, s=160, label=label, color=colors[label])\n",
    "    ax.set_xticks(np.linspace(2100, 3300, 5))\n",
    "    ax.set_yticks(np.linspace(900, 2100, 5))\n",
    "    ax.set_xlabel('F3 (Hz)')\n",
    "    ax.set_ylabel('F2 (Hz)')\n",
    "    ax.set_title('Non-native' if data == non_native else 'Native')\n",
    "    ax.grid(True)\n",
    "    ax.invert_xaxis()\n",
    "    ax.invert_yaxis()\n",
    "    ax.tick_params(axis=\"x\", labelsize=14)\n",
    "    ax.tick_params(axis=\"y\", labelsize=14)\n",
    "    ax.legend(loc=\"upper right\")\n",
    "plt.savefig('both_f2f3.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e821c519",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot vowels for native and non-native speakers, on a single chart (F2, F3)\n",
    "ax.invert_xaxis()\n",
    "ax.invert_yaxis()\n",
    "\n",
    "fig, ((ax)) = plt.subplots(1, 1, figsize=(20, 15))\n",
    "plt.rcParams.update({'font.size': 16})\n",
    "for data in [non_native, native]:\n",
    "    isnat = data == native\n",
    "    f1s = []\n",
    "    f2s = []\n",
    "    f3s = []\n",
    "    labels = []\n",
    "    for key, val in data.items():\n",
    "        cur_f1s = []\n",
    "        cur_f2s = []\n",
    "        cur_f3s = []\n",
    "        for f1, f2, f3 in val:\n",
    "            cur_f1s.append(f1)\n",
    "            cur_f2s.append(f2)\n",
    "            cur_f3s.append(f3)\n",
    "        labels.append(key)\n",
    "        f1s.append(cur_f1s)\n",
    "        f2s.append(cur_f2s)\n",
    "        f3s.append(cur_f3s)\n",
    "    for cur_f2s, cur_f3s, label in zip(f2s, f3s, labels):\n",
    "        ax.scatter(cur_f3s, cur_f2s, s=160 if isnat else 60, label=label, color=colors[label])\n",
    "    ax.set_xticks(np.linspace(2100, 3300, 5))\n",
    "    ax.set_yticks(np.linspace(900, 2100, 5))\n",
    "    ax.set_xlabel('F3 (Hz)')\n",
    "    ax.set_ylabel('F2 (Hz)')\n",
    "    ax.set_title('Vowels')\n",
    "    ax.grid(True)\n",
    "    ax.tick_params(axis=\"x\", labelsize=14)\n",
    "    ax.tick_params(axis=\"y\", labelsize=14)\n",
    "    ax.legend(loc=\"upper right\", ncol=2, handletextpad=0, columnspacing=1)\n",
    "plt.savefig('all_f2f3.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "cf6bed92",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AsGHDqK6uduJ3Oa6pqcnxOSR79P7mP73H+S2X39/i4mIaGxuzHUbOC4fDWX0PVcASERHJY6Fogo0fHqYxEqfI72HyiEEEfZm72uu+++7jW9/6FtbajM0pafl/wCbgtZafz2m5399u3H6gvM2YBHCwgzHn0AFr7UPAQwAXX3yxraqq6knMZ1RdXY3Tc0j26P3Nf3qP81suv79vv/02RUVFZx6YpmznX+BMDhYIBJg8eXKvvV5XqYAlIiKSh+oaQjxQvZOVG+pwu070LEgkLfMqy1lUNZbykqDjcSxcuJBZs2Y5Po+kzxjzI2AGMMNam2j3dPss13Tw2CkvmcYYERGRvJcr+RfkZw6mApaIiEie2VLbwM3L3iAUTRBPnlpXeGL9HlZv2stjC6cysaLY0VgqKiqoqNAmdbnCGPNj4AbgT621u9o8ta/l/hxgT5vHh3JiVdY+wA0MBg60G/OKIwGLiIj0EbmUf0F+5mDahVBERCSP1DWEuHnZGzSG4x0mTwDxpKUxHOemZa9T1xByNJ777rsvJ3atETDG/D9SDdk/ba19p93TH5AqUM1sMz5AaqfBV1se2gDE2o2pAC5oM0ZERKTfybX8C/IzB1MBS0REJI88UL2TULT9VWEdC0UTPFj9vsMRSS4wxvw78CXgRuCwMeacllshgE01yFgK/KMx5nPGmAnAI0AT8FjLmCPAw8APjDFXGWMmA78AtgC/y/CvJCIikjOUf2WGClgiIiJ5ojkaZ+WGuk7P/LUXT1pWbKhNO+GSPu2vSe08+BJQ3+b2923GfB/4EfDvwFtAKfAZa23bbZm+DjwNPAmsI1Xg+vMOemmJiIj0C8q/MkcFLBERkTyx6cOGkxqGpsPtMmzcc9ihiCRXWGtNJ7f72oyx1tr7rLWl1tqAtfYKa+22dq8TttZ+1Vp7trW2wFr759baPadMKCIi0k8o/8ocFbBERETyRGMk3uVjDNAU7vpxIiIiIqL8K5NUwBIREckTRf6uby5sgcKANiUWERER6Q7lX5mjApaIiEiemDxiEIk0+y+0SiQtk4cPcigiERERkfym/CtzVMASERHJE0Gfm3mV5XjS7MPgcRmuq6wg6HM7HJmIiIhIflL+lTkqYImIiOSRRVVj006Igj43t1eNcTgiERERkfym/CszVMASERHJI+UlQR5bOJWigKfTM4Eel6Eo4OGxhVMpLwk6Gs99992HtV1bVi8iIiLSl+Ra/gX5mYOpa5iIiEiemVhRzHOLL+fB6vdZsaEWt8tgSDUMTSQt11VWcHvVmIwkTyKSG0LRBBs/PExjJE6R38PkEYN0+YqISC9S/uU8FbBERETyUHlJkCVzJ3DXNRewcc9hmsJxCgMeJg/Xl1aR/qSuIcQD1TtZuaEOd5tVAYmkZV5lOYuqxurLlIhIL1H+5SwVsERERPJY0Odm2pjB2Q5DRLJgS20DNy97g1A0QbyDHbKeWL+H1Zv28tjCqUysKM5ChCIi+Un5lzPUA0tEREREJM/UNYS4edkbNIbjHRavAOJJS2M4zk3LXqeuIZThCEVERLpGBSwRERERkTzzQPVOQtFEWmND0QQPVr/vcEQiIiI9owKWiIiIiEgeaY7GWbmhrtOVV+3Fk5YVG2rTLniJiIhkgwpYIiIiIiJ5ZNOHDSc1bE+H22XYuOewQxGJiIj0nApYIiIiIiJ5pDES7/IxBmgKd/04ERGRTFEBS0REREQkjxT5u77RuAUKA9qgXEREcpcKWCIiIiIieWTyiEEk0ux/1SqRtEwePsihiERERHpOp1lERETyWbQZat+ESCP4i6Dik+AryHZUIuKgoM/NvMpynli/J61G7h6X4brKCoI+dwaiExHpB5R/OUIFLBERkXzUsAfW/hg2Pw4uD6kLhAwk4zDpRpjxdSgZnu0oRcQhi6rGsnrTXhrT6GsV9Lm5vWpMBqISEclzyr8cpUsIRURE8k1dDTwwDWqWQ6wZIkdTZwAjR1M/1zyaen7vxmxHKiIOKS8J8tjCqRQFPHg62ZHQ4zIUBTw8tnAq5SXBDEcoIpJnlH85TgUsERGRfNKwBx6dk0qWkp2svEjGUs8vn50a77DNmzcze/ZsBg0aRDAYZPr06fz+9793fF6R/m5iRTHPLb6cGy8ZQdDrptDvocjvodDvIeh1c+MlI3hu8eVMrCjOdqgiIn1bDuZfkH85mC4hFBERySdrf5w6y5eOWAjWLYVrf+hYODU1NXzqU59i8uTJ/OxnP6OgoIAHH3yQq666ildffZXKykrH5haR1EqsJXMncNc1F7Bxz2GawnEKAx4mDx+knlciIr0lx/IvyM8cTAUsERGRfBE9luq50NmZv/aSMdj0GMxc4lhj0TvvvJMRI0bwP//zP/h8PgCuvvpqJkyYwJIlS1i1apUj84rIyYI+N9PGDM52GCIi+ScH8y/IzxxMlxCKiIjki9q3WhqGdoHLA3VvORJOKBTi5Zdf5vOf/zwul4t4PE48Hsday1VXXcUrr7ziyLwiIiIiGZNj+Rfkbw6mFVgiIiL5ItJIarebrrAtx/W+Q4cOkUgkWLJkCUuWLOlwTDKZxOXS+TQRERHpo3Is/4L8zcFUwBIREckX/iKg493GOmdajut9JSUluFwu/uZv/oZbbrmlwzF9LXESEREROUmO5V+QvzmYClgiIiL5ouKT6fdfaJWMQ/nFjoQzYMAAPvWpT7F582amTJnSJxMlERERkdPKsfwL8jcHUwFLREQkX/gKYNKNULM8vUTK5YWLbnK0geiPfvQjLr/8cq6++moWLFhAaWkpBw8epKamhkQiwfe+9z3H5hYRERFxXA7mX5CfOVh+lOFEREQkZcbXwZtmQuQNwvTFjoYzZcoU3nzzTc4++2z+9m//ls985jN87WtfY+vWrVx++eWOzi0iIiKSETmWf0F+5mBagSUiIpJPSobD/DWwfDbEQqmtmttzeVPJ0/w1qfEOu+CCC3jiiSccn0dEREQkK3Iw/4L8y8G0AktERCTflE2GRa9C5fzU2UD/wFSjUP/A1M+V81PPl03OdqQiIiIi+UH5l+O0AktERCQflQyHa38IM5dA3VuprZr9RamGoQ73XBARERHpl5R/OUoFLBERkXzmK4BRfbPPgYiIiEifpPzLEbqEUEREREREREREcpoKWCIiIiIiIiIiktNUwBIRERERERERkZymApaIiIiIiIiIiOQ0FbBERERERERERCSnqYAlIiIiIiIiIiI5TQUsERERERERERHJaZ5sByAiIiLOCcVDbDmwhaZYE4XeQi4cciFBTzDbYYmIiIjkLeVfzlABS0REJA/VN9Xz8LaHWb1zNR7XiY/7eDLOnLFzWDBhAaWFpVmMUERERCS/KP9ylgpYIiIieWb7we0sfGEh4XiYuI1D4uTnV+5YyW92/YZlVy9j/NnjsxOkiIiISB5R/uU89cASERHJI/VN9Sx8YSFNsaZU8tSBuI3TFGti4fMLqW+qdyyWSCTCHXfcwciRI/H7/QwePJhp06bx7rvvOjaniIiISKblUv4F+ZuDaQWWiIhIHnl428OE4+G0xobjYR7e9jB3T73bkVj++Z//mf/6r//iu9/9Lueeey6hUIhdu3YRDKoHhIiIiOSPXMq/IH9zMBWwRERE8kRzrJnVO1d3euavvbiNs+b9Ndxx8R2ONBZ9++23GTx4MJdccgnnnnsuHo+Hz3zmM70+j4iIiEi25Fr+Bfmbg+kSQhERkTyx9eDWkxqGpsNt3Gw9sNWReL7xjW/w0UcfMXHiRAKBAJWVlY7MIyIiIpItuZZ/Qf7mYFqBJSIikieaYk0ZPe5Mhg8fzjXXXMPFF19MZWUlJSUljswjIiKSTclQiNDmzSSbmnAVFhKcNAlXH79US9KXa/kX5G8OpgKWiIhInij0Fmb0uDOZN28es2fP5qtf/aojry8iIpJNsb17Ofizn3Fk1SqM+8RXa5uIUzx3LoNvuw1vWVkWI5RMyLX8C/I3B9MlhCIiInniwiEXEk+m13+hVcImmDhkoiPxbNu2jXA4vYamIiIifUlo6zZ2zZ5Dw1MrsKEwyaam4zcbCtPw1Ap2zZ5DaNv2bIcqDsu1/AvyNwfTCiwREZE8EfQEmTN2Dit3rEyrkajHeJg9ZrZjDUSvvfZa/vVf/xWPx8Pll19ONBpl06ZNlJSUsGjRIkfmFBERcVps714+/NKXSDad5hKweJxkUxMf3noro9es1kqsPJZr+Rfkbw6mFVgiIiJ5ZMGEBQQ8gbTGBjwBFkxY4Fgsy5cv5x/+4R948sknmT17Ntdffz1PPfUUQ4cOdWxOERERpx382c9Iprm6JRkOc3DZMocjkmzLpfwL8jcHUwFLREQkj5QWlrLs6mUUegvxmI4XWnuMh0JvIcuuXkZpYaljsQwYMID/+3//L++88w7Hjh2jsbGRmpoa5s2b59icIiIiTko2N3Nk1SqIp3nJWDzOkV+vIhkKORqXZFcu5V+QvzmYClgiIiJ5ZvzZ43l69tPMO28eQU+QQm/h8VvQE2TeefN4evbTjD97fLZDFRER6VNCW7ac1LA9HcbtJrR5i0MRSa5Q/uU89cASERHJQ6WFpdw99W7uuPgOth7YSlOsiUJvIROHTHS054KIiEg+O23fq9Mdd6x7x0nfovzLWSpgiYiI5LGgJ8glpZdkOwwREZG84Cos7N5xA7p3nPRNyr+coUsIRURERERERNIQnDQJm0iz/1ULm0gQnHShQxGJ9B8qYImIiIiIiIikwRUMUjx3LnjSvJjJ46H4s3NxBXX5mEhPqYAlIiIiIiIikqbBt92GKxBIa6wrEGDwwoUORyTSP6iAJSIiIiIiIpImb1kZIx55JNUPq7OVWB4PrsJCRjzyCN6ysswGKJKn1MRd+p1QNMHGDw/TGIlT5PcwecQggj53tsMSEREREZE+IjhhPKPXrObgsmUc+fUqjPvE9wmbSFD82bkMXrhQxSuRXqQClvQbsYTl7lVbWbmhDrfLHH88kbTMqyxnUdVYykt0bbqIiIiIiJyZt6yM0nvvZdiddxLavIXksSZcAwoJTrpQPa9EHKAClvQLW2obeO+jRp7YGiKetKc8/8T6PazetJfHFk5lYkVxFiIUEREREZG+yBUMMmDqpdkOQyTvqQeW5L26hhA3L3uDRNJ2WLwCiCctjeE4Ny17nbqGUIYjFBFxTjIU4tjrr9P4u99x7PXXSYb0b5yIiIiIk5R/OUMrsCTvPVC9k1A0kdbYUDTBg9Xvs2TuBIejEhFxVmzvXg7+7GccWbUK4z7xcW8TcYrnzmXwbbepL4eIiIhIL1L+5SytwJK81hyNs3JDXacrr9qLJy0rNtSmXfASEclFoa3b2DV7Dg1PrcCGwiSbmo7fbChMw1Mr2DV7DqFt27MdqoiIiEheUP7lPBWwJK9t+rDhpIbt6XC7DBv3HHYoIhERZ8X27uXDL32JZFMTxOMdD4rHSTY18eGttxLbu9exWFasWIExhs2bN5/yXFVVFZdddpljc4uIiIhkSi7lX5C/OZgKWJLXGiOd/ONxGgZoCnf9OMkdyWiC8M4GQtsPYiMJklpRJ/3IwZ/9jGQ4nNbYZDjMwWXLHItl7ty5lJWV8dOf/vSkx999911efvll/uqv/sqxuUVEREQyJZfyL8jfHEwFLMlrRf6ut3mzQGFA7eH6onhDmMOrdlK/5HU+/sUfOPSrHcQ/DlO/5HUOr9pJvCG9DxWRvirZ3MyRVas6P/PXXjzOkV+vcqyxqMfj4bbbbuOXv/wlx44dO/74T3/6U0pKSviLv/gLR+YVERERyZRcy78gf3MwFbAkJzi1S8PkEYNIpNn/qlUiaZk8fFCvzC+ZE61tZP/SGo6tr8fGkthIAhtJgLXYWJJj6+vZv7SGaG1jtkMVcUxoy5aTGoamw7jdhDZvcSgi+PKXv0xzczOPP/44AOFwmOXLl3PLLbcQDAYdm1dEREQkE3Ix/4L8zMFUwJKsiu3dS/23vsWOadOo/cpX2fuP/0TtV77KjmnTqP/Wt3p8bXDQ52ZeZTmeNPtgeVyG6yorCPrcPZpXMiveEObAsq3YcAKSnQxKgg0nOLBsq1ZiSd5KNjV177hj3TsuHWVlZcyZM4cHH3wQgKeeeopDhw712aXrIiIiIm3lYv4F+ZmDqYAlWZOpXRoWVY1NuyAV9Lm5vWpMj+aTzGusrsWm2efKRhM0Vtc6HJFIdrgKC7t33IDuHZeuv/7rv2bDhg1s2LCBn/70p3zqU5/iT/7kTxydU0RERCQTcjX/gvzLwVTAkqzI5C4N5SVBHls4FbfLdLoSy+MyFAU8PLZwKuUlfXM5ZX+VjCZo3rC/85VXpxwAzRv2q7G75KXgpEnYRNc2obCJBMFJFzoUUcqnP/1pLrjgAv7u7/6OdevWcfvttzs6n4j0nlA0was7D/L89n28uvMgIX1+ioicJFfzL8i/HEydqiUrurNLQ+m993Z7vokVxewbWsSNlwxhxYZa3C6DIdWwPZG0XFdZwe1VY1S86oOiHzZCmpeIHucyRPc0EhhT4khMItniCgYpnjuXhqdWpNdI1OOh+LNzcWWgD8Ltt9/O1772NQYPHsy8efMcn09EeqauIcQD1TtZuaEOd5vP2UTSMq+ynEVVY5U3iYiQ2/kX5FcOphVYknHZ2qXB6zYsmTuBmntm8tAtlfzw+kk8dEslNffMZMncCUrC+igb6drZjuPHhXUGWfLT4NtuwxUIpDXWFQgweOFChyNK+fznPw/Arbfeit/vz8icItI9W2obmLX0FZ5Yv4dQLEFTJH78FooleGL9HmYtfYWttUeyHaqISE7I1fwL8isHUwFLMi7buzQEfW6mjRnMZ8afw7Qxg9WwvY8z/u4tJDUBve+Sn7xlZYx45JFUPwZPJ38/PB5chYWMeOQRvGVlGYnr2WefxRjTpxuHivQHdQ0hbl72Bo3hOPFOdnKOJy2N4Tg3LXudugbntoEXEekrcjX/gvzKwVTAkozryS4N6sMg7flGFEEnCXankhbf8CJnAhLJAcEJ4xm9ZjUl138eEwziKiw8fjPBICXXf57Ra1YTnDDe8Vj+8Ic/8Mwzz/DP//zPzJ07l7Fjxzo+p4h03wPVO9POr0LRBA9Wv+9wRCIifUMu5V+QnzmYemBJxnVnl4aktTyy6SP+o/pF9WGQk7h8bgoqh3FsfX16jdxdUFA5DJdW3kme85aVUXrvvQy7805Cm7eQPNaEa0AhwUkXZqznAqR2v3n11VeZNm0a999/f8bmlfyUjCaIftiIjcQxfg++EUX697wXNUfjrNxQ1+nKq/biScuKDbXcdc0FWtEuIkLu5F+QnzmYCliScd3ZpSEcjvHg/iAh16lnBJ9Yv4fVm/by2MKpTKwo7q0wpQ8pqqqgedNHafW1Mj43RVUVGYhKJDe4gkEGTL00a/NXV1dnbW7JH/GGMI3VtaldZ9tu3JG0FFQOo6iqAk9Jer1HpHObPmw46URhOtwuw8Y9h5k2ZrBDUYmI9D3Zzr8gP3MwXUIoGde6S0On1wa3EzcuXhxxMcdc3o6fVx+Gfs9TEmDIwompvlad/avmSvW9GrJwor7kiIj0IdHaRvYvreHY+npsLImNJE7cYkmOra9n/9IaorWN2Q61z2vsxsYoBmgKd29DFRERka5QAUuyoiu7NETcPp4690/POE59GPo3X0URwxZPYcAlpRivC+N3Y/xuMAbjdTHgklKGLZ6Cr0K9r0RE+op4Q5gDy7amVth2dpl4MrWz7IFlWyHRxZ6IcpKibmyMYoHCgC7qEBER56mAJVmR7i4Nx7wB/nHG7RwoGHTG12ztw6DG7v2XpyTAoLljKb1nKmff8iecdf04PGcHKL1nKoPmjtXKKxGRPqaxuhab5ue6jSZINEYdjii/TR4xiEQXN0ZJJC2Th585TxMREekpFbAka860S0P46j/n76/+B3aWpN+vqLUPg/RvLp+bwJgSguPPxvjdavArItIHJaOJVM+rdDboAEhCsjlOUieyui3oczOvshxPmn2wPC7DdZUVauAuIiIZofW+klWn26XhxV1HOPirzdCFfgzqwyAiIpIfoh82ntywPd3j9jQSGFPS+wH1E4uqxrJ6014a08ingj43t1eNyUBUkAyFSB47RuPvfoersJDgpEkZ39FLRESySwUsyQkd7dJQ5D/W5ddRHwYREZH8YLvRUBxIa0da6Vx5SZDHFk7lpmWvE4omiHdwSaHHZQj63Dy2cCrlJc4WkWJ793LwZz/jyKpVxL78ZfY+/J8A2ESc4rlzGXzbbXjLyhyNQUREcoMuIZScpT4MIiIi/ZfpRkNxSO04Kz0zsaKY5xZfzo2XjCDodVPo91Dk91Do9xD0urnxkhE8t/hyJlYUOxpHaOs2ds2eQ8NTK7ChMDaZJNnURLKpCRsK0/DUCnbNnkNo23ZH4xARkdygpSqSs1r7MDyxfk+HZ//aUx8GEZFTxaIJ9u86QjScwBdwM2x0MV79Oyl9gG9EEXTxRBaAb7h2m+0N5SVBlsydwF3XXMDGPYdpCscpDHiYPHxQRnKt2N69fPilL5Fsaup8UDxOsqmJD2+9ldFrVmsllojkDOVfzlABS3JarvZhEBHJdY2HwtQ8t5t3Xq/H1aaPUDJpOX9qKVNmjaTorOzuzPm73/2Oq666KqsxSO5y+dwUVA7j2Pr69Bq5u8BV4NHGHb0s6HMzbczgjM978Gc/IxkOpzU2GQ5zcNkySu+91+GoREROry/kX9B3czBdQig5rbUPQ1HA0+mOOB6XoSjgyUgfBhGRvuCj3Ud5YskbbF9bRzyaJBpOHL/Fo0m2r9vLE0ve4KPdRzMSz3PPPcdll11GMBjknHPO4eabb+a73/0uixcvprm5OSMxSN9UVFWBSbMgZXxu3EU+hyOSTEg2N3Nk1SqIp9kHLR7nyK9XkQyFHI1LROR0ci3/gvzLwVTAkpyXK30YRET6gsZDYVYv3Ug0lMB2smrFJizRUILVSzfSeCi9FQ7d9dxzz3HttddSVFTEk08+yb/927+xYcMG7rrrLpYtW0ZBQYGj80vf5ikJMGThxFRfq86yVleq79WQhRPB3fVdCyX3hLZswbi7dqGIcbsJbd7iUEQiIqeXa/kX5GcOpksIpU/Idh8GEZG+oua53cQi6e3CFosmqXl+N1fcOM6xeO6++25GjRrFf//3f+PxePjjH/8IQHFxMb/5zW+YOnWqY3NLfvBVFDFs8RQaq2tp3rAf2q7ITloKKodRVFWBpyQAO7MXp/Se0/a9Ot1xx7p3nIhIT+Va/gX5mYNldAWWMeZvjDFbjDFHW26vGWOubfO8McbcZ4zZa4wJGWOqjTHj272G3xjzE2PMQWPMMWPMGmNMRSZ/D8me1j4Mnxl/DtPGDFbxSkSkjVgkwTuv13d65q89m7C881o9sWh6CVdXHTt2jJqaGq6//no8Hg9Hjx5l7ty5/OQnP2HGjBm88sorjswr+cdTEmDQ3LGU3jOVs2/5E866fhxn3/InlN4zlUFzx6aKV5I3XIWF3TtuQPeOExHpiVzLvyB/c7BMX0JYC/wDMAW4GPgfYJUx5sKW578B3AF8Ffgk8BHwojGm7XYyS4F5wI3Ap4CBwLPGGFUyRESkX9v/wZGTGoamw+Uy7P/AmV4MR44cwVpLeXk5iUSC66+/nr/8y79k5syZDBw4kNraWkfmlfzl8rkJjCkhOP5sAmNK1LA9TwUnTcIm0ux/1cImEgQnXXjmgSIivSzX8i/I3xwsowUsa+1qa+1vrbU7rbU7rLXfBBqBy4wxBlgMfM9au9Jauw2YDxQBNwEYY4qBBcCd1toXrbU1wBeBC4G+10JfRESkF0XD3TuTFw117YtiuoYOHYrb7aahoYGvfe1rVFRU8Ld/+7cA1NbWUlJS4si8ItK3uYJBiufOBU+a3U48Hoo/OxdXUJv5iEjm5Vr+Bfmbg2Wtibsxxm2MuQEoBF4FRgHnAC+0jrHWhoBXgGktD1UC3nZj9gBvtxkjIiLSL/kC3VuN4gs60xLT4/Ewffp0fvjDH7J582b+4z/+A4Bdu3bx2muvUVVV5ci8ItL3Db7tNlyB9C4NdQUCDF640OGIREQ6lmv5F+RvDpbxJu7GmInAa0AAaAI+a63daoxpLUDtb3fIfqC85b/PARLAwQ7GnHOaOb8MfBlgyJAhVFdX9+RXkD6qqalJ730/pPe9/+qL731xcTGNjY3dPn7AEBeJhO3SMcmkZcBg06N5T2fWrFm88sorFBQU8Mwzz9DQ0MC//Mu/UFxczF/91V91a95wONzn3lsR6RpvWRkjHnmED2+9lWQ4DPEOVip4PLgCAUY88gjesrLMBykiAgwbXUwy2fX8a9iogQ5FlDJnzhxeeeUVBg4cyEsvvcThw4e59957KSkp4Y477nB0bqdkYxfCd4GLgBJSvayWG2Oq2jzf/p03HTzW3mnHWGsfAh4CGDdunO2r1Ubpmerq6j5baZbu0/vef/XF9/7tt9+mqKjozANP44LLStm+ti6tRqLGbTj/slIGnV3Sozk78+6773L//ffz8MMP84tf/IK//Mu/BKCqqorvf//7nHfeed163UAgwOTJk3szVBHJQcEJ4xm9ZjUHly3jyK9XYVyu4w3ebSJB8WfnMnjhQhWvRHJEMhQitHkzyaYmXIWFBCdN6heX9np9bs6f2vX8y+tgH8d3332XH/7wh8dzsBtuuAE4kYOV9dF/NzNewLLWRjmxyfFbxphPAl8H/qXlsXOAPW0OGcqJVVn7ADcwGDjQbkzfbKMvIiLSi6bMGsmON/cRDZ25H4PX52LK1SMdi2XEiBGsXLmSqVOnHi9eiYh0hbesjNJ772XYnXey93/+h7L/73u4BhQSnHRhv/hiLNIXxPbu5eDPfsaRVasw7hMlBpuIUzx3LoNvuy3vC825lH9B/uZgWeuB1YYL8AMfkCpQzWx9whgTILXT4KstD20AYu3GVAAXtBkjIiLSbxWdFWDO4sn4gm6Mu+MdcYzb4Au6mbN4MkVnpddjpjuCwSBTp0517PVFpP9wBYO4Bgyg6MorGTD1UhWvRHJEaOs2ds2eQ8NTK7ChMMmmpuM3GwrT8NQKds2eQ2jb9myH6qhcyr8gf3OwjK7AMsZ8D/gNqRVWrbsLVgHXWmutMWYp8E1jzDvADuBuUn2yHgOw1h4xxjwM/MAY8xHwMfAjYAvwu0z+LiIiIrlq6MiB3HDPpdQ8v5t3Xqs/aWvnZNJy/mWlTLl6pOPJk4iIiOSv2N69fPilL5Fsaup8UDxOsqmJD2+9Ffvd72QuuCxQ/uW8TF9CeA7wXy33R0gVnv6Ptfb5lue/DwSBfwcGAW8An7HWtu3w+nUgDjzZMvYl4BZrbff2rhQREclDRWcFuOLGcUybN5b9HxwlGorjC3oYNmqgoz0XREREpH84+LOfpTZZSEMyHCZ+sP1ebPlH+ZezMlrAstbeeobnLXBfy62zMWHgqy03EelH+mtjSJGe8PrcVIwblO0wREREJI8km5s5smpVxzuEdiQeJ9HQQDIU6hf5u/IvZ2RjF0KRvKBiSuaoMaSIiGRTKJpg44eHaYzEKfJ7mDxiEEGdSReRfiy0ZQvG7cF24RgDhDZvYcDUS50KS/KcClgiXaRiSmaFtm5LXVsfDkM8fsqHZMNTKzj6zLOMeOQRghPGZyVGERHJT3UNIR6o3snKDXW42/QySSQt8yrLWVQ1lvISnbzqS3QCUqR3nLbv1emOO9a940RABSyRLlExJbO62hhy9JrVKh6KiHTAGPM3wF8Bn2h5aDvwbWvtb1qeN8A/A1/mRB/Sv7HWbm/zGn7gX4EbOdGH9K+ttbUZ+jUyakttAzcve4NQNEE8eeoagyfW72H1pr08tnAqEyuKsxChdIVOQIr0LldhYfeOG9C940QAXNkOQKSvOKmY0tm13m2KKbG9ezMbYB7qamPIg8uWORyRiEifVQv8AzAFuBj4H2CVMebClue/AdxBqsfoJ4GPgBeNMUVtXmMpMI9UAetTwEDgWWNM3l1LV9cQ4uZlb9AYjndYvAKIJy2N4Tg3LXuduoZQhiOUrght3cau2XNoeGoFNhQm2dR0/GZDYRqeWsGu2XMIbdt+5hcTEQCCkyZhE2n2v2phgeCkC884TqQzKmCJpEnFlMzqTmPII79eRTKkLxEiIu1Za1dba39rrd1prd1hrf0m0Ahc1rL6ajHwPWvtSmvtNmA+UATcBGCMKQYWAHdaa1+01tYAXwQuBK7Kwq/kqAeqdxKKprfBdSia4MHq9x2OSLpLJyBFnOEKBimeOxc8aV7U5fHgLinRJbvSIypgiaRBxZTMa20M2RXG7Sa0eYtDEYmI5AdjjNsYcwNQCLwKjALOAV5oHWOtDQGvANNaHqoEvO3G7AHebjMmLzRH46zcUNfpyqv24knLig21aRe8JLN0AlLEOYNvuw1XIJDWWFcggGfwYIcjknynHlgiaejWLhstxRTtstE9agwpItK7jDETgdeAANAEfNZau9UY01qA2t/ukP1Aect/nwMkgIMdjDnnNHN+mVRfLYYNG0Z1dXVPfoUzampq6vEcxyJxvnpBlIRN/1PfbRL8z//+LwP8Sq2d1OX3N5kkPHQoLLo97UN2u1y8+7//C8acebD0ut74OyyZZb+9hOgHH2CthY7+3TQGYwy+UaM4Fonk7PtbXFxMY2NjtsPIeeFwOKvvoT5lRdKgYkrmqTGkSO+IRcLUv/cukVAz/mABpeeOw+tP72yp5J13gYuAElK9rJYbY6raPN/+m4fp4LH2TjvGWvsQ8BDAxRdfbKuqqjob2iuqq6vp6RzPb9/Hf7y6maZI+r1divwefnj9BKrGd1rLk17Q1ff32OuvU/vwf3Ypj3MVFlJx//06AZklvfF3WDIvtncvB5ct48ivV2HcJ9oi2kSC4s/OZfDChXjLynL6/X377bcpKio688A05Wv+FQgEmDx5ctbmVwFLJA0qpmRetxpDJhJqDCnS4ujBj1i/egXbX34Jl+tEMplMJhh/xZVcMuc6Bg4emsUIJdOstVFgZ8uPbxljPgl8HfiXlsfOAfa0OWQoJ1Zl7QPcwGDgQLsxrzgVczYUdWMVlQUKA0qrc41OQIpkhresjNJ772XYnXcS2ryF5LEmXAMKCU66sN/1vFL+5Sx90oqkQcWUzGttDNnw1Ir0eo95PBR/dm6/+5AU6ci+99/jqW9/k1gkgk2c2pdn60vP8/baaq6/5zsMGz02CxFKjnABfuADUgWqmcCbAMaYAKmdBu9sGbsBiLWMeaxlTAVwAak+Wnlj8ohBJNLsf9UqkbRMHj7IoYiku3QCUiSzXMFgv169qPzLeWriLpKG7uyyoWJKz3W1MeTghQsdjkgk9x09+BFPffubRJubO0yeAJKJBNHmZn615C6OHvzI8Ziee+45pk6dSjAY5Oyzz+aLX/wi9fX1JBIJfvzjHzN+/HgCgQDl5eXceeedRCIRx2Pqb4wx3zPGfMoY8wljzERjzHeBKuCX1loLLAX+0RjzOWPMBOARUn2yHgOw1h4BHgZ+YIy5yhgzGfgFsAX4XcZ/IQcFfW7mVZbjcaXXA8njMlxXWUHQ5z7zYMkonYAUkUzJxfwL8i8HUwFLJE0qpmSet6yMEY88kjqD2lnx0OPBVVjIiEcewVtWltkARXLQ+tUriKWZfMQjEdavXuloPM899xzXXnstRUVFPPnkk/zkJz/htddeo6qqihtvvJG7776bG264gWeffZZvfOMbPPTQQ9xyyy2OxtRPnQP8F6k+WC8BnwT+j7X2ty3Pfx/4EfDvwFtAKfAZa23bjrZfB54GngTWkSpw/bm1Nu+231tUNTbtglTQ5+b2qjEORyTdoROQIpIpuZZ/QX7mYLqEUCRNrcWUD2+9NbUdc0eXtXk8uAIBFVN6UXDCeEavWZ1WY0jJTcloguiHjdhIHOP34BtRhEsrFRwRC4fZ/vJLnZ75ay+ZSPCHl3/HFV/4kmONRe+++25Gjx7Nb3/7WzwtXyIvu+wyzjvvPHbs2MHy5cuPJ0tXXXUVJSUl3Hrrrdx9991MnDjRkZj6I2vtrWd43gL3tdw6GxMGvtpyy2vlJUEeWziVm5a9TiiaIN7BJYUelyHoc/PYwqmUl6jgkasG33YbR595Nq1+WDoBKSLdkYv5F+RnDqYClkgXqJiSHWoM2TfFG8I0VtfSvGE/tL0UJ2kpqBxGUVUFnpK+vxtLLqnf+e5JDUPTYVxu6t/bwYgJvX/JzLFjx6ipqeGuu+46njgBjBo1iunTp/Paa68xb9484m1OCHzmM58B4Pe//33OJk/SP0ysKOa5xZfzYPX7rNhQi9tljm+5mEharqus4PaqMSpe5TidgBQRp+Va/gX5m4OpgCXSRSqmZE9/bwzZl0RrGzmwbCs2moDkqc8fW19P86aPGLJwIr6K3tuyuL+LhJq7dVy0m8edyeHDh7HWUlpaespz55xzDtFolMJOmix//PHHjsQk0hXlJUGWzJ3AXddcwMY9h2kKxykMeJg8fJB6XvUhOgEpIk7KtfwL8jcHUwFLpJtUTBHpWLwhnCpehU+zjDoJNpzgwLKtDFs8RSuxeok/WNCt43zdPO5MBg0ahDGGffv2nfLcvn37CAQC/P73v+/w2DJ9kZQcEvS5mTZmcLbDkB7QCUgRcUqu5V+QvzmYClgiItKrGqtrUyuv0mCjCRqraxk0V1sJ94bSc8eRTHatn7ZNJig99zxH4hkwYACVlZU89dRT3HfffbhbVj3s3r2bV199lVgsRmNjI3/6p3/qyPwiIu3pBKSI9LZcy78gf3Mw7UIoIiK9JhlNpHpedXDZYMcHQPOG/STTLHjJ6Xn9AcZfceVJl8ecjsvt5k+uuMrRBqJLlizhvffe48/+7M945plnePzxx5k5cyaDBw/m6quvZt68eXz729/mhRde4IUXXuChhx5i7ty5vP/++47FJHImoWiCV3ce5Pnt+3h150FC+jdKREQ6kYv5F+RnDqYVWCIi0muiHzae3LA9HS5DdE8jgTEljsTU31wy5zreXltNtPnMfRU8fj+XzJnnaDyzZs3iN7/5Dffddx/XX389gUCAT3/603z/+99nxIgRLF26lF/84hd85zvfwev1MmrUKK6++mqGDBniaFwiHalrCPFA9U5WbqjD3ebfskTSMq+ynEVVY9W0XURETpFr+RfkZw6mApaIiPQaG+lgd6d0jjtdvyzpkoGDh3L9Pd/hV0vuIh6JkOxgS2eX243H7+f6e77DwMFDHY9p1qxZzJo1q8Pn7rzzTu68807HYxA5ky21Ddy87A1C0QTxpD3l+SfW72H1pr08tnAqEyuKsxChiIjkqlzMvyD/cjBdQigiIr3G+Lt3XsQEtJtXbxo2eizzf3A/E6+chdfvxxcsOH7z+v1MvHIW839wP8NGq/eYCKRWXt287A0aw/EOi1cA8aSlMRznpmWvU9cQynCEIiKS65R/OU8rsEREpNf4RhRBJ1/+OpW0+IYXORNQPzZw8FCuWrCIK77wJerf20E01IwvWEDpuec53nNBpK95oHpn2n2uQtEED1a/z5K5ExyOSkRE+hrlX85SAUtERHqNy+emoHIYx9bXp9fI3QUFlcNw+bQCyylef4AREy7MdhgiOas5GmflhrpOV161F09aVmyo5a5rLiCof7tERKQDyr+coUsIRUSkVxVVVWDS/FJnfG6KqiocjkhEpHObPmw4qWF7Otwuw8Y9hx2KSERERDqiApaIiPQqT0mAIQsnpvpadfYp40r1vRqycCKeEi2nFpHsaezG5hMGaAp3b9MKERER6R5dQigiIr3OV1HEsMVTaKyupXnDfmi7uiFpKagcRlFVhYpXIpJ1Rd3YfMIChQGl0SIiIpmkT14REXGEpyTAoLljKb5mFNE9jdhwAhNw4xtepJ5XIpIzJo8YRKKLm08kkpbJwwc5FJGIiIh0RJcQioiIo1w+N4ExJQTHn01gTImKVyKSU4I+N/Mqy/Gk2QfL4zJcV1mhBu4iIiIZpgKWiIiIiPRri6rGpl2QCvrc3F41xuGIREREpD0VsERERESkXysvCfLYwqkUBTydrsTyuAxFAQ+PLZxKeUkwwxFKvxJthl0vw9vPpu6jzdmOSEQkJ6gHloiISB5LRhNEP2zERuIYvwffCPUgE+nIxIpinlt8OQ9Wv8+KDbW4XQZDqmF7Imm5rrKC26vGqHglzmnYA2t/DJsfB5eH1P99BpJxmHQjzPg6lAzPdpQikgblX85QAUtERCQPxRvC2gVSpIvKS4IsmTuBu665gI17DtMUjlMY8DB5+CD1vBJn1dXAo3Mg1pwqWLVX8yhsfQrmr4GyyZmPT0TSovzLWSpgiYiI5JlobSMHlm3FRhOQPPX5Y+vrad70EUMWTsRXUZT5AEVyXNDnZtqYwdkOQ/qLhj2p4lXkaOdjkjGIxGD5bFj0qlZiieQg5V/OUw8sERGRPBJvCKeSp3DHyRMASbDhBAeWbSXeEHY0nltvvZVPfOITpzxeVVVFVVWVo3OLiPQJa3+cWnmVjlgI1i11NBwR6TrlX5mhApaIiEgeaayuTZ35S4ONJmisrnU4IhER6VT0WKrnVUeXDXYkGYNNj6mxu0iOUf6VGSpgiYiI5IlkNJHqudDZmb9TDoDmDftJpplwiYhIL6t9q6Vhexe4PFD3ljPxiEiXKf/KHBWwRERE8kT0w8aTG4amw2WI7ml0JiARETm9SCOp3Qa7wrYcJyK5QPlX5qiAJSIikidsJM1LUNofF9YZQBGRrPAXAV384otpOU5EcoHyr8xRAUtERCRPGH/3Nhc2AXcvR3JCIBAgGo2e8vjHH3/s2JwiIn1GxSfT73/VKhmH8oudiUdEukz5V+aogCUiIpInfCOKINnFS1GSFt9w587kjxw5kv3793Pw4MHjj73//vu8++67js0pItJn+Apg0o3p98FyeeGim1LHiUhOUP6VOSpgiYiI5AmXz01B5bD0P91dUFA5DJfPuTOAn//85zHGcPPNN/P888/zy1/+kjlz5jB48GDH5hQR6VNmfB28aRakvEGYvtjRcESka5R/ZY4KWCIiInmkqKoCk2ZCZHxuiqoqHI1n7NixrFixgrq6OubOncv3v/99fvSjH3Heeec5Oq+ISJ9RMhzmrwH/wNQKq464vKnn569JjReRnKL8KzO6d7GmiIiI5CRPSYAhCydyYNlWbDTR8ZbOrlTyNGThRDwlAcdjmjt3LnPnzj3psc985jOOzysi0meUTYZFr8K6pbDpsZZLCi1gUj2vLroptfJKxSuRnKT8KzNUwBIREckzvooihi2eQmN1Lc0b9p+8tXPSUlA5jKKqiowkTyIikqaS4XDtD2HmEqh7CyKNqd0Gyy9WzyuRPkD5l/NUwBIREclDnpIAg+aOpfiaUUT3NGLDCUzAjW94kaM9F0REpId8BTDq8mxHISLdoPzLWSpgiYiI5DGXz01gTEm2wxARERHpN5R/OUNN3EVEREREREREJKepgCUiIiIiIiIiIjlNlxCKiIiIiEjeikUT7N91hGg4gS/gZtjoYrzqRSMi0ueogCUiIiIiInmn8VCYmud2887r9bja7AaWTFrOn1rKlFkjKTpLu4GJiPQVKmCJiIiIiEhe+Wj3UVYv3UgsksAmT31++7q97HhzH3MWT2boyIGZD1BERLpMPbDyTCia4NWdB3l++z5e3XmQUDSR7ZBERERERDKm8VCY1Us3Eg11XLwCsAlLNJRg9dKNNB4KZzZAERHpFq3AyhN1DSEeqN7Jyg11uNsskU4kLfMqy1lUNZbykmAWIxQRERERcV7Nc7uJRdI7iRuLJql5fjdX3DjO4ahERKSnVMDKA1tqG7h52RuEogniSXvK80+s38PqTXt5bOFUJlYUZyFCERHJlmg0Sm1tLZFIBL/fT0VFBT6fL9thiYg4IhZJ8M7r9Z2uvGrPJizvvFbPtHlj1dhd8pI2McgO5V/OUAGrj6trCHHzsjdoDMc7HRNPWhrDcW5a9jrPLb5cK7FERPqBhoYG1q5dy+bNm3G5TnQMSCaTTJo0iRkzZlBSUpK9AEVEHLD/gyMnNWxPh8tl2P/BUSrGDXIoKpHM0yYG2aH8y1kqYPVxD1TvTLvPVSia4MHq91kyd4LDUYmISDbV1dXx6KOPEovFSCZPXYZQU1PD1q1bmT9/PmVlZVmIUETEGdFw9/q/RkOdnwwW6Wv6+yYG2Vp1pvzLeWri3oc1R+Os3FDX4WWDHYknLSs21Kqxu4hIHmtoaODRRx8lEol0mDxB6ixgJBJh+fLlNDQ0OB7Tc889x2WXXUYwGKS4uJi5c+fy7rvvOj6viPQ/vkD3vqT6gr13Xj8ZTRDe2UBo+0HCOxtIKveWDOrPmxg0Hgrz8mPv8p9//3t+++BWXnrkD/z2wa3859//npcfe9fR3zUX8y/IvxxMBaw+bNOHDSc1bE+H22XYuOewQxGJiEi2rV27llgsltbYWCzGunXrHI3nueee49prr6WwsJAnn3ySBx54gG3btjFjxgzq6uocnVtE+p9ho4tJpnlyt1UyaRk2querUOINYQ6v2kn9ktf5+Bd/4NCvdvDxL/5A/ZLXObxqJ/GG/CkUSO7qziYG+eCj3Ud5YskbbF9bRzyaJBpOHL/Fo0m2r9vLE0ve4KPdRx2ZP9fyL8jPHEwFrD6sMdL1pc4GaDpNvywREem7otEomzdv7vTMX3vJZJJNmzYRjUYdi+nuu+9m9OjR/Pa3v2X27NncdNNNvPjiizQ0NPDDH/7QsXlFpH/y+tycP7UUk+a3HOM2nH9ZaY8vL4rWNrJ/aQ3H1tdjY0lsJHHiFktybH09+5fWEK1t7NE8IqfT3U0MYn18lWC2V53lYv4F+ZmDqYDVhxX5u77U2QKFAbU+ExHJR7W1tSc1DE2Hy+Vy7CzcsWPHqKmp4S/+4i/weE589owaNYrp06fz8ssvOzKviPRvU2aNxOtPryDl9bmYcvXIHs0XbwhzYNlWbDgBnX1/TYINJziwbKtWYoljerKJQV+W7VVnuZZ/Qf7mYCpg9WGTRwwi0cUl0omkZfJw7bAiIpKPIpFIRo87k8OHD2OtpbS09JTnzjnnHA4dOuTIvCLSvxWdFWDO4sn4gm6Mu+Mv88Zt8AXdzFk8ucc7sTVW12LTXMFiowkaq2t7NJ9IZ/rjJga5sOos1/IvyN8cTAWsPizoczOvshxPmlV2j8twXWUFwQzswCAiIpnn9/szetyZDBo0CGMM+/btO+W5ffv2cfbZZzsyr4jI0JEDueGeSxk/owyPz4Uv4D5+8/hcjJ9Rxg33XNrjHdiS0QTNG/Z3vvLqlAOgecN+ktEEsWiC2ncOsWvTAWrfOdTnL+OS7MuFTQwyLRdWneVa/gX5m4P13f9TBYBFVWNZvWkvjWn0tQr63NxeNSYDUYmISDZUVFSk3X+hVTKZpLy83JF4BgwYQGVlJU899RT33Xcfbncqsd69ezevvvoqX/3qVx2ZV0T6vmQoRGjzZpJNTbgKCwlOmtTl1yg6K8AVN45j2ryx7P/gKNFQHF/Qw7BRA3vc86pV9MNG6OKXZ2vgzUf+wKZtH5/0xTuZtJw/tZQps0b2eFWY9E/Z3MQgW3Jh1Vmu5V+QvzmYVmD1ceUlQR5bOJWigKfTlVgel6Eo4OGxhVMpLwlmOEIREckUn8/HpEmT0u7D4HK5uOiii/D5fI7FtGTJEt577z3+7M/+jGeeeYbHH3+cmTNnUlxczB133OHYvCLSN8X27qX+W99ix7Rp1H7lq+z9x3+i9itfZce0acTq64nt3dvl1/T63FSMG8Toi4ZQMW5QrxWvAGw3NlWKRRLUbTuYlZ3SJL95fW5GTx6S9vje2sQgm3Jh1Vku5l+QnzmYClh5YGJFMc8tvpwbLxlB0Oum0O+hyO+h0O8h6HVz4yUjeG7x5UysKM52qCIi4rAZM2bg9XrTGuv1epk+fbqj8cyaNYvf/OY3NDQ0cP3113P77bdzwQUXsHbtWsrKyhydW0T6ltDWbeyaPYeGp1ZgQ2GSTU3HbzYUJnH4MLtmzyG0bXu2Qz3OdGNTJSzEsrBTmnRfNBpl165dvP322+zatcvx3eO666PdR/lg04G0x/fGJgbZliurznIt/4L8zMF0CWGeKC8JsmTuBO665gI27jlMUzhOYcDD5OGD1PNKRKQfKSkpYf78+SxfvpxYLNbhknaXy4XX62X+/PmUlJQ4HtOsWbOYNWuW4/OISN8V27uXD7/0JZJNTZ0PspZkUxMf3noro9esxpsDX8B8I4qgi1+ejYHD8dMf07pT2hU3jutJeNJDDQ0NrF27ls2bN5+0uiaZTDJp0iRmzJiRkc/RdDQeCrN66UZikfQuZfP6e2cTg2zz+tycP7WU7Wvr0mrk7tSqs1zMvyD/cjAVsPJM0Odm2pjB2Q5DRESyqKysjEWLFrFu3To2bdp0StJ90UUXMX369JxJukVEDv7sZyTD6a04SobDHFy2jNJ773U4qjNz+dwUVA7j2Pr6tBq5J63lw0iSM3Xtad0pbdq8sX368q6+rK6ujkcffbTTYkRNTQ1bt25l/vz5vbKaJRZNsH/XEaLhBL6Am2Gji7v03tc8t5tYJP1+UKMuGtzjTQxyxZRZI9nx5j6ioTP//k6uOlP+5TwVsERERPJQSUkJ1157LTNnzqSuro5IJILf76e8vNzxngsiIl2RbG7myKpVEE+zn1Q8zpFfr2LYnXfiCma/v2tRVQXNmz7CptFMOgHsTHOFTOtOaRXjBvUwwh6INkPtmxBpBH8RVHwSfAWdP54nGhoaePTRR4lEIp2OSSaTRCIRli9fzqJFi7pdlGg8FKbmud2883p9t5v6xyIJ3nm9Pq0VSK12bTxA7OZEXhRIi84KMGfx5NQKtGgSmzh1haNxG7w+l+OrzpR/OUsFLBERkTzm8/kYNWpUtsMQEelUaMsWjNtDVy7EM243oc1bGDD1UsfiSpenJMCQhRM5sGwrNprocCWWNRBPWtY1xQl14RftzZ3SuqRhD6z9MWx+HFwewAIGElEY9Ak4/Edw+048nozDpBthxtehZHh2Yu5Fa9euJRaLpTU2Fouxbt06rr322i7P89Huoy2X/SU6LD5tX7eXHW/uY87iyaddLbX/gyMnFb/SkRMF0l40dORAbrjnUmqe3807r3VQDLyslClXZ26HT+VfzlABS0TEAT1dBi4iItJfnLbv1emOO9a945zgqyhi2OIpNFbX0rxhP7QtJiQtjC5m7eaPOZr+FV6p1+3FndLSVlcDj86BWHOqMNXegXdS9/F2l3zWPApbn4L5a6BssvNxOiQajbJ58+YOLxvsSDKZZNOmTcycObNLK2xae1ad7rK3tk39b7jn0k6LL9E0Vv91eFy2CqQOKTorwBU3jmPavLHs/+Ao0VAcX9DDsFEDlYfnCRWwRER6UW8sAxcREelPXIWF3TtuQPeOc4qnJMCguWMpvmYU0T2N2HACE3DjG15EAmje+PsuvZ4TO6WdUcOeVPEqcrTrxyZjEInB8tmw6NU+uRIrFk2w6bW3U0vmusDlclFXV9elFTdd6Vl1pqb+vkD3ijNZKZBmgNfnzpuVZXKy/Pw/VkQkC3prGbiIiEh/Epw0CZvo2koQm0gQnHShQxH1jMvnJjCm5OTHICd2SjujtT9OrbzqiVgI1i2Fa3/YKyFlQtsTkBH/QeLBROpN64LT9ctqr6s9q87U1H/Y6GKSXdwNMysFUpEe6uJfS5F+5NhBWPdv8OJ9qftjB7MdkeSwtsvAO0tG2i4DbzyU3k5LIiIi+c4VDFI8dy540jy37vFQ/Nm5OdHAvSumzBqJ159eQcrJndI6FT2W6nnV0WWDXZGMwabHUo3e05q3GXa9DG8/C9Gm9I/rJR/tPsoTS95g+9o64tEkiUjXVl+18vv9aY/tSc+qjnh9bs6fWopJ89t91gqkIj2kApZIex+uh3+/FH4wBl68B9b9OHX/gzGpxz9cn+0IJQd1Zxm4iIiIpAy+7TZcgfQusXcFAgxeuNDhiHpf605pvqAb4+64eGHcBl/Q7fhOaR2qfaulYXsvcHmg7q3Tj2nYA8/+XSrHfvILsOp2OPRB6udn/y71vMM6OgHpjQ7EdmlLgVQfrPLy8rTHO9GzKucLpCK9QAUskbY2PQ7/OfNEc8r2DryTen7zE5mNS3Jad5eBx6LdS15ERES6KhlNEN7ZQGj7QcI7G0jm2GeQt6yMEY88kuqH1dlKLGNwFRYy4pFH8JaVZTbAXtK6U9r4GWV4fC58Affxm8fnYvyMMm6459LstBqINEIXCzedsy2v14m6GnhgGtQsT12yGDmaGm8TqZ9rHk09v3djL8XTsY5OQBrcBELD0v6jcLlcXHTRRV1q4O5Ez6qcL5CK9AL1wBJp9eH61JmfdPz6r2DQaBhxibMxSZ+grYtFRCRXxRvCne6MV1A5jKKqCjwlufFFNjhhPKPXrObgsmUc+fUqjPvEl3ybSOAeNIjRa1b32eJVq5zdKc1fBHTv8rlTmZbX60A6jeIz0BD+dCcgC44NJxL8CGvOXOj1er1Mnz69S3M71bOqtUBa8/xu3nmtgw2FLitlytXaUEj6LhWwRFo989Uujv9b+JvXnYlF+hRtXSy5LJEIceTIRhKJJtzuQoqLJ+N2962+MSLSPdHaRg4s24qNJqCDL+nH1tfTvOkjhiyciK+ik2JDhnnLyii9916G3Xknoc1bSB5rwjWgkOCkC9n3xht9vnjVVs7tlFbxyZ73v2qVjEP5xR0/15VG8Q42hD/dCUh3MkDxoQs5ctaWVBGrg2Eulwuv18v8+fMpKSnp0tytPaucaOqfswXSfkb5lzNUwBIBaDrQ+WWDnTnwdqqx+4DBzsQkfYa2LpZcFA7v5Y+7H6S+/mmMabOKwSYoLf0cnxh5O4FA/nwRFJGTxRvCqeLV6U6yJMGGExxYtpVhi6fkzEosSDV2HzD10myH0b/4CmDSjanL+npSyHJ54aKbUq/XXlcbxbc2hJ+5pOPX64EznYD0xosYdLCS5gF7CAf3Y1qqWB6fG4zloosuYvr06V0uXrWaMmskO97cRzSUxiqvbvSsyrkCaT+h/MtZ+vYkAqkP0m4d9wRM+0rvxiJ9jrYullxz9OgWajbeQiIRAk79krB375Ps27eGKZN/wcCBEzMfoIg4rrG6NrXyKg02mqCxupZBc8c6HJXkvBlfh61Pnf7yvhZJ6yeaHIelAEMzPte7uEwEvEGYvrjjg7rTKL61Ifyoy7t23BmkcwLSnQxQ1HguhY2jifkacfuSTL3qPC6aen6Xel51pLVn1eqlG4lFk9jEqbmkcRu8Ppd6VvURyr+cpybuIkCysYFw4kJCiamEExeStGlug9v8sbOBSZ+grYsll4TDe1uSp0Y6Sp4ArI2TSDRSs/GLhMN7HYvltttuY+TIkfj9fkpLS1m4cCH79+93bD4RSUlGE6meV2luLkISmjfsz7nG7pIFJcNh/hrwD0ytpOpA3A7hcGwR9ZFf8nHsmxyKfZ2PY9+kPvJLDif/lvjnVnXes6pbjeLP0BC+m7pyAtLgxhctwR8dzOSp43tcvGqV0039pUtyKf+C/M3BtAJL+rXjjU3fvBwSbRuyuylwv0SRZwUec6DzFyg42/EYpW9wehm4SLr+uPvBljN/Z5ZMhvjj7p9y/rhvORLLoUOH+M53vkNpaSnbtm1jyZIl/O///i9vvfUWgwbpsgYRp0Q/bDy5YXs6XIbonkYCY0ociUn6kLLJqcbp65amLt9zeUgVnQzR6HAORO7DWi8dfZU8Fv8MzY9HGLKwseO+at1qFH+ahvA94GQfqq5Qz6r8kEv5F+RvDqYClvRbJzc2dQMDTnr+WOIzNCeqGOK7C5/r/Y5fZNINzgcqfYKWgUsuSCSaqa9/ms7O/LVnbZz6+pWcO/YfHWksunLlyuP//elPf5qqqiomT57MD3/4Q7797W/3+nwikmIj6f0bECfBR64jREngw0tRUxh9OgmQWkF17Q9Tvafq3oJII/FoEQdWerC2B33VutMo/nQN4Xsol05AqmdV35Vr+Rfkbw6mSwilXzqpsWmnZ1y8WAZwIPod4nbIqU8PuUAN3OUkWgYu2XbkyKaTGoamwxg3R45uciagdi688EIuu+wyXnjhhYzMJ9JfGf/pz1E3EWad5x3+y/8KL3q38LJ3Oy+yiX9bs4xnn32WhoaGzAQquc9XkOo9df61NO4qw8a61letw9ebdGP6fbBO1xC+F7SegPQF3Rh3xyvDjNvgC7p1AlI6lev5F+RPDqYVWNIvdamxKT4a4/MY5H3w5Cf+/N8ciEz6Oi0Dl2xKJJq6cZQhEe/Ocd1TXl7O+vXrMzafSH/kG1EEnfT2OWCO8t++GuIksO2/ryegpqaGrVu3Mn/+fMrKtFOWpHS3r1rxNaNwtc9/utAo/rQN4XtJ6wnImud3885r9bjaXH6bTFrOv6yUKVePVPFKOtUX8i/IjxxMBSzpd7r8AYyX5sSVFHt+ntpZBeCzP4URl5z+MOnXtAxcssHtLuzGURa3pzvHdU9dXR1DhnSwqlVEeo3L56agchjH1teflO80Eea/fTXETOcn8ZLJJJFIhOXLl7No0SJKSkqcD1hyXq/2VWttFL98NsRCkIx1cKw3Vbyav6bzhvC9SCcgpSf6Qv4F+ZGD6RJC6Xe69QFMkmjyvNRlg3/5onpfiUhOKi6efPreJB2wNkHxwIucCaidbdu28frrrzNz5syMzCfSnxVVVWDaffHe7PkjcdL7NyIWi7Fu3TonQpM+KN2+aqccF+7k/7fWRvGV88FbkNr10F8Exp36uXJ+6vmyyT2IuutaT0COvmgIFeMGqXglacn1/AvyJwfTCizpd7r1AezxYz/7C5gyqvcDklMdO5ja9ab5EBSclep9oH5jImfkdgcpLf0cdXVPkk4jUWM8lJbOc6yB6Oc//3nmzZvHsGHD2L59O0uWLGHkyJHccccdjswnIid4SgIMWTjx+IY1sWSC99z1p1422IlkMsmmTZuYOXMmPp/P2WAl552pr1qnxwVOUwDqoFE8H1r43PuO9bwScUKu5V+QvzmYCljS73TrA9jtxxTrcjDHfbgenvkqHHjn5MdfvAeGnA9//hNduilyBp8YeTv79q0hkWg841iXK8gnRv6VY7EUFhbyjW98g3379jF48GDmzJnDkiVLOOussxybU0RO8FUUMWzxFBqra3lvw9sYurYC3eVyUVdXx6hROoHX352ur1qnkhbf8KI0XrylUTzAvurU/a6XUwUtf1Fq50IVtCTH5VL+Bfmbg6mAJf2Oox/A0n2bHodVt3f+/IF34D9npvqP6RJOkU4FAmVMmfwLajZ+kWQyhLWnngk0xoPLFWTK5F8QCDjXpPnnP/+5Y68tIunxlAQYNHcshWMimDVbIc1d5FpFIhGHIpO+pLO+ap0fAAWVw05t4H46DXvgSC38oHWXQgsYSMZTOxfO+HpG+mGJdEcu5V+QvzmYemBJv9P6AZz2//3d+QCWrvlw/emLV239+q9S40WkUwMHTmTqpf9NWdkNuFxB3O5C3O4i3O5CXK4gZWU3MPXS/2bgwInZDlVEMiQwIIjpcg9Q8Pv9DkQjfVFHfdU6Y3xuiqoq0n/xuhp4YBo0fwyx5tQOhZHG1H2sGWoeTT2/d2M3oxdxnvIv52kFlvRLRVUVNG/6qPPGkm10+QNYiEUT7N91hGg4gS/gZtjo4tM3wXz6tq5N8Mzfwt+83rMgRfJcIFDG+eO+xblj/5EjRzeRiDfh9hRSPPAiR3suiEhuqqioIJlMewtmINUHq7y83KGIpK9p31etw5VYrlTuPGThRDwlgfReuGEPPDonVayik6skkjGIxFI7Fy56VSuxJGcp/3KWCljSLzn2AdzPNR4KU/Pcbt55vR5Xm7O8yaTl/KmlTJk1kqKz2v1Z7t0EDX/s2kQH3k41eldjd5EzcruDnDXosmyHISJZ5vP5mDRpEjU1NWkVslwuFxdddJEauMtJ2vZVa96w/+SdvZOWgsphFFVVdC13Xvvj1CqrdMRCsG5pqvm7SA5T/uUMFbCk33LkA7gf+2j3UVYv3UgsksB2kBdvX7eXHW/uY87iyQwdOfDEE/99Z/cm3PwETPtK944VERHph2bMmMHWrVvT6mvl9XqZPn16BqKSvqa1r1rxNaOI7mnEhhOYgBvf8KKut9yIHoPNj6f6XKUjGUvtVD1ziRq7i/RDKmBJv9arH8B5IBqNUltbSyQSwe/3U1FRkdaZ18ZDYVYv3Ug01PklmTZhiYYSrF66kRvuuTS1Eit6DPbWdC/Y5o+7d5yIiEg/VVJSwvz581m+fDmxWKzDlVgulwuv18v8+fMpKSnJfJDSZ7h8bgJjSnr2IrVvtTRs78rEHqh768TOhSLSb6iAJUIvfQD3YQ0NDaxdu5bNmzfjcp3obp9MJpk0aRIzZsw4bRJb89xuYpH0djWKRZPUPL+bK24cl0pajBtI86xbWwVnd/0YERGRfq6srIxFixaxbt06Nm3adMrn/kUXXcT06dNVvJLMiDTSad+rTtmW40Skv1EBS6Sfq6ur49FHH+30TGxNTQ1bt25l/vz5lJWdut1rLJLgndfrO7xssCM2YXnntXqmzRuLN9KYOouW6MYW3ZNu6PoxIiIiQklJCddeey0zZ86krq7u+Mrr8vJy9byStHV35f5J/EVAV3fHNC3HiUh/owKWSD/W0NDAo48+etpeGMlkkkgkwvLly1m0aNEpZ2T3f3DkpIbt6XC5DPs/OEqFvwhc3bhUs3iEGriLiIj0kM/nY9SoUdkOQ/qYnq7cP0nFJ9Pvf3V8ojiUX9ylQ7q8Q7aI5CQVsET6sbVr1xKLxdIaG4vFWLduHddee+1Jj0fD6V062F40FIdR3UhaAOb8e7fmFBEREZHu6+nK/VP4CmDSjVCzPL2c0OWFi25Ku4F7t3bIFpGc5TrzEBHJR9FolM2bN6e1lTakzqpt2rSJaDR60uO+QPfOXvmCnhNJS1ead46qgtFq2ikiIiKSSW1X7neWP7Zdud/Q0JDeC8/4OnjT3FHQG4Tpi9Ma+tHuozyx5A22r60jHk0SDSeO3+LRJNvX7eWJJW/w0e6j6c0tIlmnApZIP1VbW3vSsu90uFwu6urqTnps2OhiksmuNd9MJi3DRg1M/dClpKUA5tzfpblE+rvmRJK1hxv57YEG1h5upDmRZsM6ERGRNrqzcj8tJcNh/hrwD6TTflgub+r5+WtS48+g7Q7ZnfVpbbtDduOhcHqxiqRJ+ZczdAmhSD91ur5XXTnO63Nz/tRStq+tS6uRu3Ebzr+s9ETfgdakZflsiIUg2VFi5Ab/gLSTFhGB2nCU+3fv58l9h/CYE18I4tbyF+ecxVdGDqMioGbNIiJyZt1duT9z5sz0GruXTYZFr8LLL6dOWLo8pHYnNKlLCy+6KbXyKs08sNs7ZIv0kPIvZ6mAJdJP+f3+XjtuyqyR7HhzH9HQmRMFr8/FlKtHnvxga9KybilseqzHSYtIf7fpaDOf37STUCJJqqPIyask/6v+Y1buP8yKyWOZVJTmCkgREem3erJyP+2NAkqGQ3EF3Pk+1L0FkcbUboPlF6fd8wp6uEO2GrtLDyj/cp4uIRTppyoqKtI+i9YqmUxSXl5+yuNFZwWYs3gyvqAb4+546bdxG3xBN3MWT+64WWbJcLj2h6mk5YZfwmd/mrq/8/3U4ypeiaSlNhzl85t20ng8eTpV3EJjIsl1G3dSG452Mqrndu7cyRe/+EVGjRpFMBhk9OjRLFq0iMOHDzs2p4iI9L7eWrmfFl8BjLoczr82dd+F4hX0bIdske7KpfwL8jcHUwFLpJ/y+XxMmjQp7bNpLpeLiy66qNNl4ENHDuSGey5l/IwyPD4XvoD7+M3jczF+Rhk33HMpQ0cOPENgPUtaRPq7+3fvJ5Rmn4VQMsn9H+53LJa9e/dSUVHB0qVLef7557n33nt56aWXuOaaaxybU0REel9vrtx3Wo92yBbpplzKvyB/czBdQijSj82YMYOtW7emdXbM6/Uyffr0044pOivAFTeOY9q8sez/4CjRUBxf0MOwUQO1JFskA44lEjy571CnZ/7ai1v4Vf1h7h1TToG7989pXX755Vx++YldQ6dNm8bYsWP51Kc+xcaNG5k8eXKvzyki4pRoNEptbS2RSAS/309FRUV6/Z3yQG+u3Hdaj3bIFumGXMu/IH9zMP0tFenHSkpKmD9/PsuXLycWi3WYmLhcLrxeL/Pnz6ekpCSt1/X63FSMG9TL0YrImWw82tzSMDT9nUHdBmqOHmPGoKJejycajfKv//qvPProo+zevZtw+MQuT++++26fTZ5EpH9paGhg7dq1bN68+aSV68lkkkmTJjFjxoy0c6S+qnXlfk1NTVqFrDOt3HdSj3fIFumiXMu/IH9zsKxeQmiMucsYY40x97d5zBhj7jPG7DXGhIwx1caY8e2O8xtjfmKMOWiMOWaMWWOMqcj8byDS95WVlbFo0SIqKyvxer34/f7jN6/XS2VlJYsWLaKsrCzboYrIGTTGu3fZRFPcma2d/+mf/on77ruPL3zhC/zmN79h/fr1PP300wAnJVIiIrmqrq6OBx54gJqaGmKxGJFI5PgtFotRU1PDAw88wN69e7MdquNmzJiB1+tNa2w6K/ed0rpDtknzm+4pO2SLdFGu5V+QvzlY1lZgGWOmArcBW9o99Q3gDuBW4F3gXuBFY8w4a21jy5ilwBzgRuBj4EfAs8aYSmtt9/7vEenHSkpKuPbaa5k5cyZ1dXXHl8aXl5f3m6XxIvmgyNO95LvQ48z5rCeeeIJbbrmFu++++/hjTU1NjswlItLbGhoaePTRR0/baiGZTBKJRFi+fDmLFi3K65VYTq3cd0KPd8gW6YJcy78gf3OwrKzAMsYUA78EFgCH2zxugMXA96y1K62124D5QBFwU5tjFwB3WmtftNbWAF8ELgSuyuTvIeK4aDPsehnefjZ1H212dDqfz8eoUaM4//zzGTVqlIpXIn3MlIEDiNuuXTaRsKnjnNDc3HzK2fqf//znjswlItLb1q5dSywWS2tsLBZj3bp1DkeUfX1l5X6v7JAtkqZcy78gf3OwbK3AeghYYa39H2PMvW0eHwWcA7zQ+oC1NmSMeQWYBvwUqAS87cbsMca83TLm+faTGWO+DHwZYMiQIVRXV/f6LyS5r6mpqe+894kYNO2H0CGg9XpqA+s3Q/AsKBwG7vSWcPd3fep9l17VF9/74uJiGhsbzzzwND57dhG/OnA0rUaiHuCzZxeSaD5Gz2bt2JVXXsny5cs599xzGT16NM888wxr164FUsvXu/u7hsPhPvfeikjfEo1G2bx5c9qNy5PJJJs2bWLmzJl5fwKwr6zcb90hu+b53bzzWj0u14lCVjJpOf+yUqZcPVLFK+mxAreLvzjnLP5r78fp5V8Gri8d5FgDd4BZs2axfPlyJk6cyNixY3n66ad59dVXHZsvUzJewDLG3AaMJbVqqr1zWu7b7ym5HyhvMyYBHOxgzDl0wFr7EKmiGePGjbNVVVVdjlv6vurqavrEe19XA4/OgVgzJDv4J9DlBW8Q5q+Bsr7ZfC+T+sz7Lr2uL773b7/9NkVFPWvm+Xdj/Txz6B0a09jKOeh28fWxFRQFnPnC8eCDD/KVr3yFJUuWAHDNNdfw5JNPcskllxAIBLr9uwYCgT7bfFRE+oba2tqTGranw+VyUVdXx6hRoxyKKre0rtzPZdohWzLlKyOHsXL/4fTyL5eLr4wY5mg8P/nJT7DW8s1vfhNI5WCPP/44l1xyiaPzOi2jBSxjzDjgO8CnrLXR0wxtv/4unZb+XWv7L5KLGvakileRo52PScYgEoPls2HRq1AyPHPxiUjOqwj4WDF5LNdt3EkomSTewSejx6SSpxWTx1LhUPEKYPDgwTzxxBOnPG67uMxeRPq5aDPUvgnhI6mWChWfBF+Bo1Oeru+VE8eJs7RDtjgtl/IvyN8cLNM9sC4DBgPbjDFxY0wcuAL465b//rhlXPuVVEM5sSprH+BueZ3Oxoj0TWt/nFp5lY5YCNYtdTQcEembJhUV8L+XnM8Xys6mwOWiyH3iVuBy8YWys/nfS85nUpGzXwBFRHqkYQ88+3fwgzHw5BegYXfq/gdjUo837HFsar/fn9HjRKTvU/7lvExfQrgKeKvdYz8H3iO1MmsHqQLVTOBNAGNMAPgUcGfL+A1ArGXMYy1jKoALgL5/Uaf0X9FjsPnxji8b7EgyBpseg5lLHD8LKSJ9T0XAx/fOG869Y8qpOXqMpniSQo+LKQMHONpzQUSkV3TUUsEmT6xSr3kUtj7lWEuFioqKtPtftUomk5SXl595oIjkLeVfzspoActa2wA0tH3MGHMMONSy4yDGmKXAN40x75AqaN0NNNFSrLLWHjHGPAz8wBjzEalVWz8CtgC/y8gvIuKE2rfA1cW/ki4P1L0Foy53JiYR6fMK3C5mDOpZXy0RkYzKgZYKPp+PSZMmUVNTk1Yhy+VycdFFF+VUE3MRyR7lX87IxRLg90kVpP6d1GqtUuAz1tq2WxV9HXgaeBJYR6rA9efW2kSGYxXpPZFGut7GzbYcJyIiIpIncqSlwowZM07Zhr4zXq+X6dOnOxKHiIikZL2AZa2tstZ+pc3P1lp7n7W21FobsNZe0bo6q82YsLX2q9bas621BdbaP7fWOncRvEgm+ItI7UXQFablOBHJF329uabT9OfTO4wxdxljrDHm/jaPGWPMfcaYvcaYkDGm2hgzvt1xfmPMT4wxB40xx4wxa1paOYj0ju62VIimWfDqgpKSEubPn4/f7+90R0KXy4Xf72f+/PmUlJT0egwikjnKMU4vF/58sl7AEpEWFZ9MP1lrlYxD+cXOxCMiGef1egmFQtkOI6eFQqG0V0RIx4wxU4HbSLVfaOsbwB3AV4FPAh8BLxpj2p4pWQrMA24k1aN0IPCsMUb70Uvv6ElLBQeUlZWxaNEiKisr8Xq9+P3+4zev10tlZSWLFi2irKzMkflFJDOUg51ZLuRgmW7iLiKd8RXApBuhZnl6hSyXFy66SQ3cRfLI0KFDqauro7y8nGAwiDFdXZWZv6y1hEIh6urqGDZsWLbD6bOMMcXAL4EFwL1tHjfAYuB71tqVLY/NJ1XEugn4acuxC4AvWWtfbBnzRWA3cBXwfOZ+E8lbOdhSoaSkhGuvvZaZM2dSV1dHJBLB7/dTXl6unlcieUI5WOdyKQdTAUskl8z4empHndM1LW3lDcL0xY6HJCKZM3DgQAD27t1LLBbLcjS5x+v1MmzYsON/TtItDwErrLX/Y4y5t83jo4BzgBdaH7DWhowxrwDTgJ8ClYC33Zg9xpi3W8aogCU9l8MtFXw+H6NGjXJ8HhHJPOVgp5crOZgKWCK5pGR4ajvo5bNTTUmTHfzj6fKmilfz1/T6jjsikn0DBw7MenIg+ckYcxswFvhiB0+f03K/v93j+4HyNmMSwMEOxpxDB4wxXwa+DDBs2DCqq6u7HHdXNDU1OT6HOMwmYdSdqft2mvxlVI/71qnHGBf8MQ67q52PTxylv8P5Te9v31ZbW5vtEFTAEsk5ZZNT20GvW5pqSurykFpKb1KXFl50U2rllYpXIiKSJmPMOOA7wKestdHTDG1/7Zbp4LFTXr6zMdbah0it+uLiiy+2VVVVacXbXdXV1Tg9h2TAs8922FKhety3qHr3n08e6/JC5Xz407/NYIDZE4sm2L/rCNFwAl/AzbDRxXh9+dOCTn+H85veX+kpFbBEclHJcLj2hzBzSaopaaQxtTS+/GL1vMozoXiILQe20BRrotBbyIVDLiToCWY7LBHJP5cBg4Ftbfp6uIHLjTG3A627DZ4DtN3ZeSgnVmXtazlmMHCg3ZhXnAlb+iW1VDhF46EwNc/t5p3X63G5TlximUxazp9aypRZIyk6K5DFCEVEnKcClkgu8xXAqMuzHYU4oL6pnoe3PczqnavxtNltKZ6MM2fsHBZMWEBpYWkWIxSRPLMKaL9N28+B90itzNpBqkA1E3gTwBgTILXT4J0t4zcAsZYxj7WMqQAuAF51NHrpX9RS4SQf7T7K6qUbiUUSHV1ZyfZ1e9nx5j7mLJ7M0JG6BF1E8pcr2wGIiPQ32w9u53NrPsfKHSsJJ8I0xZqO38KJMCt3rORzaz7H9o+3ZztUEckT1toGa+22tjfgGHCo5WcLLAX+0RjzOWPMBOARoImWYpW19gjwMPADY8xVxpjJwC+ALcDvMv9bSV5rbalQOR+8BeAfmOp15R+Y+rlyfur5ssnZjtRRjYfCrF66kWio4+IVgE1YoqEEq5dupPFQOLMBiohkkFZgiYhkUH1TPQtfWEhTrKnTMXEbpynWxMLnF/L07Ke1EktEMuX7QBD4d2AQ8AbwGWttY5sxXwfiwJMtY18CbrHWJjIcq/QH7VsqvHsYbvhlv2qpUPPcbmKR9P56xaJJap7fzRU3jnM4KhGR7NAKLBGRDHp428OE4+mdHQ3Hwzy87WGHIxKR/spaW2Wt/Uqbn6219j5rbam1NmCtvaJlpVbbY8LW2q9aa8+21hZYa//cWrvn1FeXdIWiCV7deZDnt+/j1Z0HCUVVCzxFa0uFQHHqvp8Ur2KRBO+8Xt/pyqv2bMLyzmv1xPT/kIjkKa3AEhHJkOZYM6t3riZu42ceTGol1pr313DHxXeosbuISJ6pawjxQPVOVm6ow92mKXciaZlXWc6iqrGUl+jf/v5s/wdHTmrYng6Xy7D/g6NUjBvkUFQiItmjFVgiIhmy9eDWkxq2p8Nt3Gw9sNWhiEREJBu21DYwa+krPLF+D6FYgqZI/PgtFEvwxPo9zFr6Cltrj2Q7VMmiaLh7K6miofROlImI9DUqYImIZMjp+l45cZyIiOSeuoYQNy97g8ZwnHjSdjgmnrQ0huPctOx16hpCGY5QcoUv4O7ecUFdZCMi+UkFLBGRDCn0Fmb0OBERyT0PVO9Mu89VKJrgwer3HY5IctWw0cUkOylydiaZtAwbNdChiEREsksFLBGRDLlwyIXEk11b1p+wCSYOmehQRCIikknN0TgrN9R1uvKqvXjSsmJDrRq791Nen5vzp5Zi0vzGZtyG8y8rxevr3sotEZFcpwKWiEiGBD1B5oydg8ekt7TfYzzMHjNbDdxFRPLEpg8bTmrYng63y7Bxz2GHIpJcN2XWSLz+9ApSXp+LKVePdDgiEZHsUQFLRCSDFkxYQMATSGtswBNgwYQFDkckIiKZ0hjpenNtAzSF1ZS7vyo6K8CcxZPxBd0Yd8fFT+M2+IJu5iyeTNFZ6eUYIiJ9kQpYIiIZVFpYyrKrl1HoLex0JZbHeCj0FrLs6mWUFpZmOEIREXFKkb/rzbUtUBhQU+7+bOjIgdxwz6WMn1GGx+fCF3Afv3l8LsbPKOOGey5l6Ej1vhKR/KZPQxGRDBt/9nienv00D297mDXvr8FtTlwakLAJZo+ZzYIJC1S8EhHJM5NHDCLRxabciaRl8vBBDkUkfUXRWQGuuHEc0+aNZf8HR4mG4viCHoaNGqieVyLSb6iAJSKSBaWFpdw99W7uuPgOth7YSlOsiUJvIROHTFTPKxGRPBX0uZlXWc4T6/ek1cjd4zJcV1lBUAUKaeH1uakYp4KmiPRPKmCJiGRR0BPkktJLsh2GiIhkyKKqsazetJfGNPpaBX1ubq8ak4GoREREcp96YImIiIiIZEh5SZDHFk6lKODB08mOhB6XoSjg4bGFUykv0apcERERUAFLRERERCSjJlYU89ziy7nxkhEEvW4K/R6K/B4K/R6CXjc3XjKC5xZfzsSK4myHKiIikjN0CaGIiIiISIaVlwRZMncCd11zARv3HKYpHKcw4GHy8EHqeSUiItIBFbBERERERLIk6HMzbczgbIchIiKS83QJoYiIiIiIiIiI5DQVsEREREREREREJKepgCUiIiIiIiIiIjlNPbBERERERERE+phYJEz9e+8SCTXjDxZQeu44vP5AtsMScYwKWCIiIiIiIiJ9xNGDH7F+9Qq2v/wSLteJXUuTyQTjr7iSS+Zcx8DBQ7MYoYgzVMASERERERGRnBWKh9hyYAtNsSYKvYVcOORCgp5gtsPKin3vv8dT3/4msUgEm0ic8vzWl57n7bXVXH/Pdxg2emwWIhRxjgpYIiIiIiIiknPqm+p5eNvDrN65Go/rxFfXeDLOnLFzWDBhAaWFpVmMMLOOHvyIp779TaLNzZ2OSSYSRJub+dWSu5j/g/u1Ekvyipq4i4iIiIiISE7ZfnA7n1vzOVbuWEk4EaYp1nT8Fk6EWbljJZ9b8zm2f7w926FmzPrVK4hFImmNjUcirF+90uGIRDJLBSwRERERERHJGfVN9Sx8YSFNsSbiNt7hmLiN0xRrYuHzC6lvqs9whJkXC4fZ/vJLHV422JFkIsEfXv4dsUjY4chEMkcFLBEREREREckZD297mHA8vcJLOB7m4W0POxxR9tXvfPekhu3pMC439e/tcCgikcxTAUtERERERERyQnOsmdU7V3e68qq9uI2z5v01hOIhhyPLrkio875XpxPt5nEiuUgFLBEREREREckJWw9uPalhezrcxs3WA1sdiScajbJr1y7efvttdu3aRTQadWSeM/EHC7p1nK+bx4nkIu1CKCIiIiIiIjmhKdaU0eM609DQwNq1a9m8eTMu14l1H8lkkkmTJjFjxgxKSkp6dc7TKT13HMlkev2vWtlkgtJzz3MoIpHM0wosERERERERyQmF3sKMHteRuro6HnjgAWpqaojFYkQikeO3WCxGTU0NDzzwAHv37u21Oc/E6w8w/oorMe70+mC53G7+5Iqr8PoDDkcmkjkqYImIiIiIiEhOuHDIhcST6fW/apWwCSYOmdgr8zc0NPDoo48SiURIJpMdjkkmk0QiEZYvX05DQ0OvzJuOS+Zch9fvT2usx+/nkjnzHI5IJLNUwBIREREREZGcEPQEmTN2Dh6TXrcbj/Ewe8xsgp5gr8y/du1aYrFYWmNjsRjr1q3rlXnTMXDwUK6/5zv4CgpwdbISy+V24yso4Pp7vsPAwUMzFptIJqiAJSIiIiIiIjljwYQFBDzpXfoW8ARYMGFBr8wbjUbZvHlzpyuv2ksmk2zatCmjjd2HjR7L/B/cz8QrZ+H1+/EFC47fvH4/E6+cxfwf3M+w0WMzFpNIpqiJu4iIiIiIiOSM0sJSll29jIXPLyQcDxO3p15S6DEeAp4Ay65eRmlhaa/MW1tbe1LD9nS4XC7q6uoYNWpUr8SQjoGDh3LVgkVc8YUvUf/eDqKhZnzBAkrPPU89rySvqYAlIiIiIiIiOWX82eN5evbTPLztYda8vwa3OXHJXMImmD1mNgsmLOi14hVAJBLJ6HE95fUHGDHhwqzMLZINKmCJiEhaYpEw9e+9SyTUjD9YQOm543SWT0RERBxTWljK3VPv5o6L72Drga00xZoo9BYyccjEXut51ZY/zQbpvXWciHSNClgiInJaRw9+xPrVK9j+8ku4XCfOfiaTCcZfcSWXzLlOTUJFRETEMUFPkEtKL3F8noqKirT7X7VKJpOUl5c7FJGItKUm7iIi0ql977/H8ju/wpaXniceiRANNR+/xSMRtr70PMvv/Ar7d+3MdqgiIiIiPeLz+Zg0aVLafbBcLhcXXXQRPp/P4chEBFTAEhGRThw9+BFPffubRJubsYlEh2OSiQTR5mZ+teQujh78KMMRioiIiPSuGTNm4PV60xrr9XqZPn26wxGJSCsVsEREpEPrV68glmZT0ngkwvrVKx2OSERERMRZJSUlzJ8/H7/f3+lKLJfLhd/vZ/78+ZSUlGQ2QJF+TAUsERE5RSwcZvvLL3W68qq9ZCLBH17+HbFI2OHIRERERJxVVlbGokWLqKysxOv14vf7j9+8Xi+VlZUsWrSIsrKybIcq0q+oibuIiJyifue7JzVsT4dxual/b4e2cxYREZE+r6SkhGuvvZaZM2dSV1dHJBLB7/dTXl6unlciWaICloiInCISau7WcdFuHiciIiKSi3w+H6NGjcp2GCKCClgikqNi0QT7dx0hGk7gC7gZNroYr69rK4Kk+/zBgm4d5+vmcSIiIiIiIqejApaI5JTGQ2FqntvNO6/X43KZ448nk5bzp5YyZdZIis4KZDHC/qH03HEkk+n1v2plkwlKzz3PoYhERCQnRZuh9k2INIK/CCo+CT6dzBARkd6nApaI5IyPdh9l9dKNxCIJbPLU57ev28uON/cxZ/Fkho4cmPkA+xGvP8D4K65ky0vPp9XI3eV28ydXXIXXr+KiiEi/0LAH1v4YNj8OLg9gAQPJOEy6EWZ8HUqGZztKERHJI9qFUERyQuOhMKuXbiQa6rh4BWATlmgoweqlG2k8pN3unHbJnOvw+v1pjfX4/VwyZ57DEYmISE6oq4EHpkHNcog1Q+RoagVW5Gjq55pHU8/v3ZjtSEVEJI+ogCUiOaHmud3EIuldshaLJql5frfDEcnAwUO5/p7v4CsowOXuuP+Yy+3GV1DA9fd8h4GDh2Y4QhERybiGPfDonFSxKhnveEwylnp++ezUeBERkV6gApaIZF0skuCd1+s7XXnVnk1Y3nmtnli0az2apOuGjR7L/B/cz8QrZ+H1+/EFC47fvH4/E6+cxfwf3M+w0WOzHaqIiGTC2h+nVlmlIxaCdUsdDUdE+q5QPMQb9W/w0ocv8Ub9G4TioWyHJDlOPbBEJOv2f3DkpIbt6XC5DPs/OErFuEEORSWtBg4eylULFnHFF75E/Xs7iIaa8QULKD33PPW8EhHpT6LHUj2vOlt51V4yBpseg5lL1NhdRI6rb6rn4W0Ps3rnajyuEyWJeDLOnLFzWDBhAaWFpVmMUHKVClgiknXRcPdWUkVDaSbQ0iu8/gAjJlyY7TBERCRbat9qadjeBS4P1L0Foy53JiYR6VO2H9zOwhcWEo6Hids4tPsasHLHSn6z6zcsu3oZ488en50gJWfpEkIRyTpfoOP+Smc8LqgavIiISMZEGkntNtgVtuU4EenvYskYC19YSFOsKVW86kDcxmmKNbHw+YXUN9VnOELJdSpgiUjWDRtdTDLZtYQ4mbQMGzXQoYhERETkFP4ioGuX/INpOU5E+ruDoYOE4+ntJB6Oh3l428MORyR9jQpYIpJ1Xp+b86eWYtL8F8m4DedfVorX172VWyIiItINFZ9Mv/9Vq2Qcyi92Jh4R6TOaY800RBo6XXnVXtzGWfP+GjV2l5OogCUiOWHKrJF4/ekVpLw+F1OuHulwRCIiInISXwFMujH9PlguL1x0kxq4iwhbD27FdHEFp9u42Xpgq0MRSV+kApaI5ISiswLMWTwZX9CNcXf84WbcBl/QzZzFkyk6S7vfiYiIZNyMr4M3zYKUNwjTFzsajoj0DU2xpoweJ/lJBSwRyRlDRw7khnsuZfyMMjw+F76A+/jN43MxfkYZN9xzKUNHqveViIhIVpQMh/lrwD8wtcKqIy5v6vn5a1LjRaTfK/QWZvQ4yU/awktEckrRWQGuuHEc0+aNZf8HR4mG4viCHoaNGqieVyIiIrmgbDIsehXWLYVNj7VcUmgBk+p5ddFNqZVXKl6JSIsLh1xIDTVdOiZhE0wcMtGhiKQvUgFLRHKS1+emYtygbIchIiIiHSkZDtf+EGYugbq3INKY2m2w/GL1vBKRUwQ9QUr8JXiaPGk1cvcYD7PHzCboCWYgOukrVMASEREREZHu8RXAqMuzHYWI9AGDg4MJeAJp9bUKeAIsmLAgA1FJX6IeWCIiIiIiIiLiKK/Ly7Krl1HoLcRjOl5L4zEeCr2FLLt6GaWFpRmOUHKdClgiIiIiIiIi4rjxZ4/n6dlPM++8eQQ9QQq9hcdvQU+QeefN4+nZTzP+7PHZDlVykC4hFBEREREREZGMKC0s5e6pd3PHxXew9cBWmmJNFHoLmThkonpeyWmpgCUiIiIiIiIiGRX0BLmk9JJshyF9iApYIiIiIiIiIn1ILBKm/r13iYSa8QcLKD13HF5/INthiThKBSwRERERERGRPuDowY9Yv3oF219+CZfLffzxZDLB+Cuu5JI51zFw8NAsRijiHBWwRERERERERLIgFA+x5cCW432gLhxyYad9oPa9/x5PffubxCIRbCJxyvNbX3qet9dWc/0932HY6LFOhy6ScSpgiYiIiIiIiGRQfVM9D297mNU7V+NxnfhaHk/GmTN2DgsmLKC0sPT440cPfsRT3/4m0ebmTl8zmUgQbW7mV0vuYv4P7tdKLMk7rmwHICIiIiIiItJfbD+4nc+t+Rwrd6wknAjTFGs6fgsnwqzcsZLPrfkc2z/efvyY9atXEItE0nr9eCTC+tUrnQpfJGtUwBIRERERERHJgPqmeha+sJCmWBNxG+9wTNzGaYo1sfD5hdQ31RMLh9n+8ksdXjbYkWQiwR9e/h2xSLg3QxfJOl1CKCI5ryu9AfqiWDTB/l1HiIYT+AJuho0uxutzn/lAEREREelTHt72MOF4eoWlcDzMw9se5pbCPz+pYXs6jMtN/Xs7GDHhwu6EKZKTVMASkZzV1d4AfU3joTA1z+3mndfrcbnM8ceTScv5U0uZMmskRWdpO2QRERGRfNAca2b1ztWdrrxqL27jrHl/DZ8d86luzRcNdd4vS6QvUgFLRHLS9oPbWfjCQsLxcOpDvt2K6ZU7VvKbXb9h2dXLGH/2+OwE2QMf7T7K6qUbiUUS2OSpz29ft5cdb+5jzuLJDB05MPMBioiIiEiv2npwa+qkbHpXAgLgNm7qIvu6NZ8vWNCt40RylXpgiUjO6U5vgL6k8VCY1Us3Eg11XLwCsAlLNJRg9dKNNB5S/wIRERGRvq4p1tSt41zlJSSTXah6ATaZoPTc87o1n0iuUgFLRHJOd3oD9CU1z+0mFkkvCYlFk9Q8v9vhiERERETEaYXewm4dN3DAIMZfcSXGnV4fLJfbzZ9ccRVev1pRSH5RAUtEckp3ewOE4iGHI+sdsUiCd16v73TlVXs2YXnntXpi0a6ddRMRERGR3HLhkAuJJ9PLcVslbIKJQyZyyZzr8Pr9aR3j8fu5ZM687oQoktNUwBKRnHK8N0AXuI2brQe2OhRR79r/wZGTGranw+Uy7P/gqEMRiYiIiEgmBD1B5oydg8ekl+t6jIfZY2YT9AQZOHgo19/zHXwFBbg6WYnlcrvxFRRw/T3fYeDgob0ZukhOUAFLRHJKd3sDdPe4TIuGu7eSKhrq2tk6EREREck9CyYsIOBJ79K+gCfAggkLjv88bPRY5v/gfiZeOQuv348vWHD85vX7mXjlLOb/4H6GjR7rVPgiWaVdCEUkp3S3N0B3j8s0XyC93gWnHBfUP9ciIiIifV1pYSnLrl7Gwufb7Lbdjsd4CHgCLLt6GaWFpSc9N3DwUK5asIgrvvAl6t/bQTTUjC9YQOm556nnleQ9fSMSkZzSk94AfcGw0cUkk7ZLxySTlmGjBjoUkYiIiIhk0vizx/P07Kd5eNvDrHl/DW5z4gRnwiaYPWY2CyYsOKV41ZbXH2DEhAszEa5IzlABS0RySmtvgJU7VqbVyL1tb4C+wOtzc/7UUravrUurkbtxG86/rBSvr3srt0REREQk95QWlnL31Lu54+I72HpgK02xJgq9hUwcMrHP5LUimaYClojknAUTFvCbXb9Jq69V+94AfcGUWSPZ8eY+oqEz98Py+lxMuXpkBqISERERyTHRZqh9EyKN4C+Cik+CryDbUfWKWCRM/XvvEgk1c06wgNJzL9QlgCJnoAKWiOScnvYGyHVFZwWYs3gyq5duJBZNYhOnXlJo3Aavz8WcxZMpOkvJjIiIiPQjDXtg7Y9h8+Pg8gAWMJCMw6QbYcbXoWR4tqPslqMHP2L96hVsf/klXK4TK+yTyQTjr7iSS+Zcpx0ERTqhApaI5KTe6A2Qy4aOHMgN91xKzfO7eee1elwuc/y5ZNJy/mWlTLl6pIpXIiIi0r/U1cCjcyDWnCpYtVfzKGx9CuavgbLJmY+vB/a9/x5PffubxCIRbOLUlfhbX3qet9dWc/09/397/x4mV3UeaN/3qqo+0t06gJBaEghsgZRwEBJYYJsMJIGxJySQIA62B1v2J8YxiTzjDOOMY2PHee3xMHEmYb6Qie2gdwbbnxMRiXek2E6wzYvsC2zjgyQQ2IBlg7CklpAQqLvVx6pa3x9Vklqt7lZ1q6tqV/f9u659tbr22ns/paVurXr22s/6jCsJSiMwgSUpsaZ6bYDW2Y1c884lvGXVYva/2MlAb5b6pgxzz2+z5pUkSZp+coOF5FV/5+ht8oPQPwgP3gh3fbdmZmJ1HnyFf/z0xxjo6Rm1TT6XY6Cnh4c+9VFWf/Z+Z2JJw5jAkpR4TZkmVravrHYYZVNXn2bhklnVDkOSJKm6uvcXZl6VYrAXnrgPbvjvZQ1psvxg0wYG+/tLapvt7+cHmzZy3Zq7yhxV6XK5Xg4f3kYu10063cKMGctJp2v/hrJqiwksSZIkSVJ1DRyB3kMjPzY4kvwgbP8KXP+pxBd2H+zr49lvPzriY4Mjyedy/OTb3+KaO95X9cLufX17eWnX5+joeJgwpKRHjDna22/mvEUfoLFxfhUj1HSSqnYAkiRJkqRpbvePgHDKZidIZWDPj8oSzmTq2Pn8CQXbSxFSaTp+9kKZIipNZ+fTfP/J32LPnvXk873kct3Htny+l7171/P9J3+Lzs4dVY1T04cJLElKqMH+Pl5+5il+9sPv8fIzTzHY31ftkCRJksqjv4vCaoPjEYvHJVt/b4mPRQ4zMMHjJkNf3162bnsPuVwXMPKsuBiz5HJdbN32bvr69lY2QE1LPkIoSQnj8sqSJGnaaWhl3DOwCMXjkq2haWKPONZP8LjJ8NKuz5HL9ZbUNp/v5aVdn2fpkj8rc1Sa7pyBJUkJsu/nP+PBD6/l6UcfIdvfz0Bvz7Et29/Pjkcf4cEPr2X/L3ZWO1RJkqTJs/BNjHsGVj4LC64oSziTqf2CJeTzpdW/Oirmc7RfcGGZIhpbLtdDR8fDjDbzargYs3R0bCw54SVNlAksSUqIocsrj1bkc+jyyp0HX6lwhJIkSWVS3wxNswt1rUqRqoPL3pX4Au4AdQ2NXHTNbxLSpdXBSqXT/Oo111WtgPvhw9tPKNheihDSHO7cXp6ApCITWJKUEBNZXlmSJGnKaJkLdSUmpOqa4K0fKms4k2nlTbdQ19BQUttMQwMrb1pV5ohGl8t1T+CoQC47keOk0pnAkqQEmOjyyhZ2lyRJU0a6DlZvhoa2wgyrkaTqCvtXb4aZ51Q2vtPQdtbZ3Pbxz1Df3ExqlJlYqXSa+uZmbvv4Z6pa7zSdbpnAUZF0ZiLHSaUzgSVJCVCryytLkiRNqvnL4a7vwuWrC7OxGtoKhdob2grfX766sH/+8mpHOm5z37CY1Z+9n0t+8+3UNTRQ39R8bKtraOCS33w7qz97P3PfsLiqcc6YsZwYx1mzK+aY0XZZeQKSilyFUJISoBaXV5YkSSqLmefADf8drv8U7PkR9HcVklgLrqiJmldjaTvrbK5bcxfX3PE+On72AgO9PdQ3NdN+wYVVq3k1XDrdRHv7zezZs55SCrmHkKG9fRXpdFP5g9O0VtEZWCGET4YQ4rBt35D9odhmbwihN4SwJYRw0bBzNIQQ/jqEcDCEcCSEsDmEsLCS70OSJlstLq8sSZJUVvXNcP6/gqU3FL7WePJqqLqGRs69+FIWv+kqzr340sQkr446b9EHSk5IpVJNnLfo98sckVSdRwifB9qHbJcM2ffHwN3AB4E3Aa8A3wwhtA5pcx+wCngn8GtAG/DVMN5lEiQpQWpteWVJkiRNXY2N81mx/Euk062EMPKDWyFkSKdbWbH8SzQ2zq9whJqOqpHAysYY9w3ZDkBh9hXwIeDeGOPGGOMzwGqgFXhXsc0MYA3w4RjjN2OMW4F3A5cC11XhvUjSpKi15ZUlSZKSqDfby5MdT/Loy4/yZMeT9GZ7qx1SzWpru4Srrvw68+e/g1SqiXS6hXS6lXS6hVSqifnz38FVV36dtrZLTn0yaRJUowbWG0IIe4AB4EngozHGXwDnA/OAbxxtGGPsDSF8B3gL8HngcqBuWJtfhhB+WmzzSMXehSRNspU33cJPH9/CQM+p61pVe3llSZKkiejN9vL0gafpHuympa6FS+dcSlPm9GsndXR3sO6ZdWzauYlM6vjH3Gw+y02Lb2LNxWtob2k/7etMN42N81m65M+4YPFHONy5nVy2m3SmhRltl1nzShVX6QTWk8B7geeAs4F7gO8W61zNK7bZP+yY/cCC4p/nATng4Aht5jGKEML7gfcDzJkzhy1btkz4Dah2dXd32/fTUK31+6+8cw2H9u6BGIkxnrQ/hAAhMHv+ArY+8xPgJ6OeKw/05PLkYyQVAs3p1LRaerbW+l6SpCTJD+QYeLmL2J8lNGSoP7eVVP3Eq7aUkmCaqGcPPsud37iTvmwf2ZgtfGIcYuMLG/naL77GA297gIvOvGjkk2hM6XQTs2e9udphaJqraAIrxvjPQ78PIXwf+AWFRwW/f7TZsMPCCK8NN2abGOMXgC8ALFmyJF577bWlB60pY8uWLdj3p5bL9XL48DZyuW7S6RZmzFhe03dXarHfOw++wg82beQn3/4WIXV8oBjzOX71mutYedMq2s46e9Tjd/cNcP+u/azfd4hMXTj2ejZGbp83m7WL5rKwsb6s7yEJarHvJUmqtuzrfXRt2U3Pj/dD6vg4gnyk+fK5tF67kMzM8ZUwKDXB9Kdz/3Tc8XZ0d3DnN+6ke7B71DbZmKV7sJs7H7mTh2982JlYUo2qxiOEx8QYu0MIzwIXAP+n+PI84JdDmp3N8VlZ+4A0cBZwYFib75Q1WGmK6+vby0u7PkdHx8MMXRMhxhzt7Tdz3qIPWJyxQk5neeXtnT3cun0nvbl8cdHjE3P7X+54lY37X2PD8sUsa506K/lIkqTTN7C7iwMP7CAO5ApTuYc58oMOera/wpw7L6F+YevJDUYwngTTS4dfoqO7Y1wJpnXPrKMv21dS275sH+ueWcc9V91T8vklJUdVnyYJITQCS4EO4EUKCarrh+3/NeC7xZd+DAwOa7MQ+JUhbSSNU2fn03z/yd9iz5715PO95HLdx7Z8vpe9e9fz/Sd/i87OHdUOdVoZ7/LKu/sGuHX7TrqOJa9Olo3Qlctzy7ad7O4bmPygJUlSTcq+3ldIXvWNnLwCIA+xL8eBB3aQfb20pNF4EkwxRtY9s67EiKFnsIdNOzcVZnWVIBuzbP755kkv7N6Ty/P4a13884HXefy1Lnpyo/0Fjs/gQI7dzx3iF9sPsPu5QwwOjG/FammqqegMrBDCXwD/BLxMYdbUx4EzgAdjjDGEcB/wsRDCc8ALFGpkdQNfAYgxHg4hrAM+G0J4BXgV+EvgaeBblXwv0lTR17eXrdveQy7XNWqbGLPkcl1s3fZurrry687ESqj7d+2nt8QBU28+z/0v7+feC88pc1SSJKkWdG3ZXZh5VYI4kKNry25m/e7iMduNN8EUiWz++WbuvuLukgq77zi4o1BPaxx5nXRIs+PADla2ryz9oFGcULYhTF7Zhq5DfWz9l1089/0OUkMe48znI0uvamfF2xfROtuVqDX9VHoG1kLg74HngYeBfuCqGOOu4v4/p5CQ+hvgR0A78K9jjEM/Wf9R8dj1wBMUEly/E2M0HS1NwEu7PkcuV9pdqHy+l5d2fb7MEWkijuRyrN93aNSZV8NlIzzU8dqk3SGUlGwhhE+GEOKwbd+Q/aHYZm8IoTeEsKW4yM7QczSEEP46hHAwhHAkhLC5OBNeUo3LD+QKNa9KHRbkoefH+8mfIuF1LME0DkcTTKUY67HEchw31PbOHn79B8/x5b2v0puPdOXyx7befOTLHa/y6z94jqe6Tr269FCv7OrkHz71JM8+vofsQJ6BvtyxLTuQ59kn9vIPn3qSV3Z1nvZ7kGpNRRNYMcZ3xBjnxxjrY4wLYoyrYow/GbI/xhg/GWNsjzE2xhiviTE+M+wcfTHGD8YYz4wxNscYfyfG+MuTrybpVHK5Hjo6HoYS0x4xZuno2FhywkuVs62z54Q7f6VIB9jaeaRMEUlKoOcp3Bw8ul0yZN8fA3cDHwTeBLwCfDOEMLTIzX3AKuCdFEo8tAFfDUMLJ0qqSQMvd51YsL0UqcDAL0efwQ/lTzC11LVM6PwTPe6ocpVt6DrUx6b7tjHQmyOOkkyMuchAb45N922j61Bpj2ZKU8V0WlFd0jCHD29nvJ87QkhzuHN7eQLShHVlJzYJtTvrDCxpGsnGGPcN2Q5AYfYV8CHg3hjjxuLNw9VAK/CuYpsZwBrgwzHGb8YYtwLvBi4FrqvCe5E0SXK5Xl7v+j5dZ/6II7N/Qj7VX/KxsW/s8Ue5E0yXzrmUbL7U+ecFuZjjkjmXnLrhGCZStqEUW/9lF4P9pY3pBgfybH1k16kbSlNIVVchlFRdudxE7ooFctnTn3atydWamdgEiJaM9zGkaeQNIYQ9wADwJPDRGOMvgPMprAL9jaMNY4y9IYTvAG8BPg9cDtQNa/PLEMJPi20eGemCIYT3A+8HmDt3Llu2bCnD2zquu7u77NdQ9di/kyvGQfoHDjA4+DohQjwvA+QgPE96oIXMwAxCfoyPiyGQ2b2dcGD0MUgk8p7G9xAb4qhthpqTnsPqxtUcef4IW57fUtIx/3HWf+T1vteJnPoagcDMxpk8+fiTJZ17JHlgQXcvf1zaWwIg9UIH/+/en485eyRGeDXXzZyrSj/xgezPeOyxDsY5Cb9q/BnW6TKBJU1j6fRE7opF0pnTm3atybei7QyycRwjKSAXC8dJmhaeBN4LPEdhIZ17gO8W61zNK7YZPkVgP7Cg+Od5FMokHxyhzTxGEWP8AvAFgCuuuCJee+21E34DpdiyZQvlvoaqx/6dPJ2dT7N123uoq+ulrm6EGUxNaVK5es750X+mseu8Ec8R6lK0f/wqUvVj30R74vtPsPGFjSUVcv+Dlj/g1QWv8oGrPlDK2wCgo7uDmzffXNJjhy11LTz8todpb2kv+fzDPf5aF//fHS/SNY46oq3pFP/rkvO5elbrqG12P3eInZt2MHCKWW1D1TemuWrlpSxcMqvkY6rJn2GdLm+9S9PYjBnLGe/6BzHmmNF2WXkC0oQ1p1PcPm92yXclMgFua59Fc9r/BqTpIMb4zzHGh2KMT8cYvwX8NoVx4OqhzYYdFkZ4bbhS2khKkBNXoB4lqZTKka/r5ZdX/DcGG18dYT80Xz73lMkrgDUXr6ExU9qKeSEE1ly8pqS2R7W3tPPA2x6gpa6FTBh5JJQJGVrqWnjgbQ+cVvIKyle2YTyJqxOO6x3fI5RSLfOTizSNpdNNtLffTKmTMWM+zcyW3yGdPvWyxqq8tYvm0lRiQqqBQf7d3DIHJCmxYozdwLPABcDR1QiHz6Q6m+OzsvYBaeCsMdpIqgHjWoE6PcCr533tpNdDfZrWa0tbhHQ8CabzZpx3QoKpN9vLkx1P8ujLj/Jkx5P0ZkeO+6IzL+LhGx9m1YWraMo00VLXcmxryjSx6sJVPHzjw1x05kUjHj8e5SrbUN84sfPWN/lQlaYP/7VL09x5iz7Avo5N5PKnnnadz9az7eE3sfgNfbTOLu1OmipnYWM9G5Yv5pZtO+kdZVWcdBykngH+hE/xy+37mLP8S7S1nV4hU0m1J4TQCCwFHgNepJCguh744ZD9vwZ8uHjIj4HBYpuvFNssBH4F+G4lY5c0ceNdgZpUjs75T3D2C7eTyjdAqpC8mnPnJWRmlj4WPJpgWvfMOjb/fDPpIYsI5WKOG994I2suXsPzP3oeKDwWuO6ZdWzauYlM6vhH1mw+y02Lb2LNxWtOmknV3tLOPVfdw91X3M2OAzvoHuympa6FS+ZcQlNm8m6+lqtsw9w3zCCfH9958/nI3PPbxnWMVMtMYEnTXGPjfHjlv5Br+wip9AAhffL05ZhLk8/V8/K372agcxZbH9nFNe9cUoVodSrLWpv5l2Wz+LOt6/l2vJoUx/szT5pf4zF+h//DWfEguRxs3fZurrry64V/B5KmrBDCXwD/BLxMYdbUx4EzgAdjjDGEcB/wsRDCc8ALFGpkdVNMVsUYD4cQ1gGfDSG8ArwK/CXwNPCtCr8dSRM0oRWoSdE35yXOOPQrNF8+l9ZrF44reXVUKQmm53meZw8+y53fuJO+bF+hbtawoenGFzbytV98jQfe9sCIM6qaMk2sbF857vhKdbRsw5f3vlpSGrDUsg119WmWXtXOs4/vIZZQXiukA0vf3E5dCY9xSlOFCSxpmhvsz/H84y2Q+VPOXPovzDjvu8R8iqNlTUIqz+GX3sKrz72dbM+ZQOS573XwllWLT/kf5sDAALt376a/v5+GhgYWLlxIfX19Jd7WtDa47+9YHdfzDtaxkwvppYkmelnMCzQwcELbfL6Xl3Z9nqVL/qxK0UqqkIXA31N4BPAA8H3gqhjj0TXY/xxoAv4GmEWh6Pu/jjF2DTnHH1GYtrG+2PZR4D1xvMUUJVXNRFagDnUpzrjuLNqXnLpgeynGSjAN5ge58xt3jlmQPRuzdA92c+cjd/LwjadXkH2i1i6ay8b9r5VUyL0plWLtuaXVbVjx9kW88MN9DPSe+tdqXX2KFW9bVNJ5panCBJY0ze1/8TCpVGCg50z2b/23vPLULTTNfpFUXR/5wUZ6D51PzDWccEwqFdj/YueoK568/vrrPP744zz11FOkUsfvNuXzeZYtW8bVV1/NzJkzy/m2pq2hjwY0ABfxzJjtY8zS0bGRCxZ/xNpm0hQWY3zHKfZH4JPFbbQ2fcAHi5ukGjShFahTgaaFpRVsP10Hew/Sl+0rqW1fto91z6zjnqvuKXNUJzuhbEM+T3aEJ/8yoZC82rB8MQsbS7uB2zq7kZs+tJxN921jcCBPzJ184pAO1NWnuOlDyy3poWnHIu7SNDd8xZOYa6DnwFK6915Gz4GlJyWvjh03yoone/bs4W//9m/ZunUrg4OD9Pf3H9sGBwfZunUrf/u3f8vevXsn/b1ogo8GhDSHO7eXJyBJkpQYSV6Bumewh9f7Xy88NliCbMyy+eebRy3sXm7LWpt5bOVS7ph/Js2pFK3p41tzKsUd88/ksZVLWdbaPK7znr2ojXd8/Eouuno+mfoU9Y3pY1umPsVFV8/nHR+/krMXWftK048zsKRpbjJXPHn99df54he/SH9//6jH5fN5+vv7efDBB7nrrruciTXJJvJoAARy2YkcJ0mSasnRFaj37FlPKYXcQ8jQ3r6qIrO0dxzcQSCM65h0SLPjwI6y1rway8LGeu698Bw+8cYFbO08Qnc2T0smxYq2M05Z82osrbMbueadS3jLqsXsf7GTgd4s9U0Z5p7fZs0rTWsmsKRpbjJXPHn88ccZHBws6RyDg4M88cQT3HDDDeO6tsY2oUcDiKQzEzlOkiTVmvMWfYB9+zaTy3Wdsm0q1cR5i36/AlExZt2rchw3mZrTKa6e1Trp562rT49askOajnyEUJrmjq54Ekr8bTDaiicDAwM89dRT5PMlLJtCYSbW9u3bGRgYOHVjlSzJjwZIkqTqa2ycz4rlXyKdbiWEkeczhJAhnW5lxfIvTXil4sH+Pl5+5il+9sPv8fIzTzHYP3Ztq5a6id1Mm+hxkmqPM7AkTcqKJ7t37z6hYHspUqkUe/bs4fzzzx/XcRpdkh8NkCRJydDWdglXXfl1Xtr1eTo6NhbrZxZWoI4xR3v7Ks5b9PsTSl51HnyFH2zawLPffpRU6vgNz3w+x0XX/CYrb7qFtrPOPum4S+dcyla2jutauZjjkjmXjDtGSbXJBJakSVnxZKy6V2OZ6HEaXVIfDZAkScnR2DifpUv+jAsWf4TDndvJZbtJZ1qY0XbZhG9s7fv5z/jHT3+Mwf5+Yu7kG6M7Hn2Enz6+hds+/hnmvmHxCfuaMk3MbJhJpjtTUiH3TMhw4xtvpCnjTThpuvARQknA6a940tAw8mqFpzLR4zS6Sj0aIEmSal863cTsWW9mzpzrmT3rzRNOXnUefIV//PTHGOjpGTF5BZDP5Rjo6eGhT32UzoOvnLT/rKazaMycfKN0JI2ZRtZcvGZCsUqqTc7AknTM6ax4snDhwpLrXx2Vz+dZsGDB6YSsUZTz0QBJkqThfrBpA4MlzqzP9vfzg00buW7NXSe8Xpeq44G3PcCdj9xJX7ZvxJlYmZChMdPIA297gPaW9kmJXVJtMIEl6SQTWfGkvr6eZcuWsXXr1pISWalUissuu4z6+vqJhqlTKMejAZIkScMN9vXx7LcfHXXm1XD5XI6ffPtbXHPH+6hrOHHG1UVnXsTDNz7MumfWsfnnm0mH4zdRczHHjW+8kTUXrxk1edWTy7O18whd2RytmTQr2s6gOe2DR9JUYAJL0qS5+uqr2bFjR0l1rerq6njrW99agah09NEASZKkcujY+fwJBdtLEVJpOn72AudefOlJ+9pb2rnnqnu4+4q72XFgB92D3bTUtXDJnEtGrXm1u2+A+3ftZ/2+Q2RCOPZ6NkZunzebtYvmsrDRG6dSLTOBJWnSzJw5k9WrV/Pggw8yODg44kysVCpFXV0dq1evZubMmZUPUpIkSZOqv7dnQscNnOK4pkwTK9tXnvI82zt7uHX7Tnpz+eIazCcuSPTljlfZuP81NixfzLLW5gnFKqn6nEspaVLNnz+fu+66i8svv5y6ujoaGhqObXV1dVx++eXcddddzJ9v7SVJkqSpoKFpYkmh+gkeN9TuvgFu3b6TrmPJq5NlI3Tl8tyybSe7+wZO+5qSqsMZWJIm3cyZM7nhhhu4/vrr2bNnD/39/TQ0NLBgwQJrXkmSJE0x7RcsIZ8vrf7VUTGfo/2CC0/72vfv2k9vrrSFhHrzee5/eT/3XnjOaV9XUuU5A0tS2dTX13P++eezdOlSzj//fJNXkiRJU1BdQyMXXfObhHRpdbBS6TS/es11JxVwH68juRzr9x0adebVcNkID3W8Rk+JCS9JyWICS6qWgR74xbfhp18tfB2YWO2AWjM4kGP3c4f4xfYD7H7uEIMD47tbJ0mSpORZedMt1DU0lNQ209DAyptWnfY1t3X2nFCwvRTpAFs7j5z2tSVVno8QSpX2+i/h8b+Cp/4eUhkKRSYD5LOw7J1w9R/BzKk3rbnrUB9b/2UXz32/g1Tq+EAjn48svaqdFW9fROvs07sLJ0mSpOpoO+tsbvv4Z3joUx8l299PPnfyTcpUOk2moYHbPv4Z2s46+7Sv2ZWd2I3Q7qwzsKRaNKEEVghhNtAEHIwx9k9uSNIUtmcrfPEmGOwpJKyG2/pF2PGPsHozzF9e+fjK5JVdnWy6bxuD/TniCOOFZ5/Yyws/3MdNH1rO2YvaKh+gJNUAx1+Skm7uGxaz+rP384NNG/nJt79FSB1/pDDmc/zqNdex8qZVk5K8AmjNlPbI4nAtGR9EkmpRSQmsEMI84L3A24GVQMOQfb8EvgP8PfAvMcY40jmkae/1XxaSV/2do7fJD0L/IDx4I9z13SkxE6vrUB+b7tvGQO/od8hiLjLQm2PTfdt4x8evdCaWJOH4S1JtajvrbK5bcxfX3PE+On72AgO9PdQ3NdN+wYWnXfNquBVtZ5Ad56+/XCwcJ6n2jJnACiEsBD4FvAvoAr4H/AVwAOgFZgPnA1cCXwV2hRA+HmP8/5UzaKkmPf5XhZlXpRjshSfugxv+e1lDqoSt/7KLwf7SpncPDuTZ+sgurnnnkjJHJUnJ5fhL0lRQ19DIuRdfWtZrNKdT3D5vNl/e+2pJhdwzAW5rn0Vz2hlYUi061Qys54FvAL8LfCPGOOqn0OJg698Cfx5CmB9j/OykRSnVuoEjhZpXIz02OJL8IGz/Clz/KahvLm9sZTTYn+O573eM+NjgSGIu8tz3OnjLqsXU1U9sSrgkTQGOvySpRGsXzWXj/tfoKmFlwaZUirXnzq1AVJLK4VSp57fGGH8vxvjPYw2eAGKMu2OM/w14A7B50iKUpoLdPyoWbB+HVAb2/Kg88VTI/hcPn1CwvRSpVGD/i2M8ZilJU5/jL0kq0cLGejYsX0xrOkVmlGFnJkBrOsWG5YtZ2Fhf2QAlTZoxE1gxxu3jPWGMsT/G+PyEI5Kmov4uCqsNjkcsHle7BvomtjLMQG+JM9UkaQpy/CVJ47OstZnHVi7ljvln0pxK0Zo+vjWnUtwx/0weW7mUZa21+2SDpHGsQhhC+ATwkxjjhhH2LQDWxBj/r8kMTpoyGlqB8c1EglA8rnbVN07sMcD6pgktkCpJU47jL2nierO9PH3gaboHu2mpa+HSOZfSlGmqdlgqk4WN9dx74Tl84o0L2Np5hO5snpZMihVtZ1jzSpoixvMp8ZNADCH8ZYzxw8P2LQT+FHAAJY1k4ZtKr391VD4LC64oTzwVMvcNM8jnxzfzLJ+PzD2/rUwRSVLN+SSOv6Rx6ejuYN0z69i0cxOZISUcsvksNy2+iTUXr6G9pb2KEaqcmtMprp5V2zeBJY1svKnovwHWhhAeDiF4+0IqVX0zLHtn6XWwUnVw2btquoA7QF19mqVXtRNK/E0T0oGlb263gLskncjxl1SiZw8+y82bb2bjCxvpy/XRPdh9bOvL9bHxhY3cvPlmnn312WqHKkkap/EmsL4MXAe8FfhOCGHe5IckTVFX/xHUlZiQqmuCt36orOFUyoq3L6KuobSEVF19ihVvW1TmiCSp5jj+kkrQ0d3Bnd+4k+7BbrJx5Jnv2Zile7CbOx+5k47ujgpHKEk6HeN+GDjG+ARwJdAE/DCEcOmkRyVNRTPPgdWboaGtMMNqJKm6wv7Vmwvtp4DW2Y3c9KHl1DelCemR64CFdKC+Kc1NH1pO6+zGCkcoScnn+Es6tXXPrKMv21dS275sH+ueWVfmiCRJk2lC1exijC8BbwZ2AI8DvzOJMUlT1/zlcNd34fLVhdlYDW2FQu0NbYXvL19d2D9/ebUjnVRnL2rjHR+/kouunk+mPkV9Y/rYlqlPcdHV83nHx6/k7EXWvpKk0Tj+kkbXM9jDpp2bRp15NVw2Ztn88830ZnvLHJkkabJMeKmvGGNXCOG3gb8CPgqMr1KzNF3NPAdu+O9w/adgz4+gv6uQxFpwRc3XvBpL6+xGrnnnEt6yajH7X+xkoDdLfVOGuee3WfNKkkrk+Esa2Y6DOwoF23OlH5MOaXYc2MHK9pXlC0ySNGnGk8B6H/DzoS/EGPPAfwghfA9YMpmBSVNefTOc/6+qHUXF1dWnWbhkVrXDkKRa4fhLKkH3YHdFj5MkVV7JCawY44Nj7PuHyQlHkiRJRzn+kkrTUtdS0eMkSZU3ZgIrhDCu6SExxu+cXjiSJEnTm+MvafwunXMp2Xxp9a+OysUcl8y5pEwRSdNHLtfL4cPbyOW6SadbmDFjOel0U7XD0hR0qhlYWyittkIotrOQjTTFDAwMsHv3bvr7+2loaGDhwoXU19dXOyxJmsq24PhLGpemTBM3Lb6JjS9sLKmQeyZkuPGNN9KU8UO2NFF9fXt5adfn6Oh4mBCO/1cUY4729ps5b9EHaGycX8UINdWcKoF1/bDv08C/AH8IvFCWiCQlwuuvv87jjz/OU089RSp1fMHSfD7PsmXLuPrqq5k5c2b1ApSkqcvxlzQBay5ew9d+8bWS6lo1ZhpZc/GaCkQlTU2dnU+zddt7yOV6gZOTxnv3rmffvs2sWP4l2tqc6ajJMWYCK8b46NDvw/G06pMxxq1li0pSVe3Zs4cvfvGLDA4Oks/nT9q/detWduzYwerVq5k/37sqkjSZHH9JE9Pe0s4Db3uAOx+5k75s34gzsTIhQ2OmkQfe9gDtLe1ViFKqfX19e4vJq65R28SYJZfrYuu2d3PVlV93JpYmRerUTSRNJ6+//jpf/OIX6e/vHzF5BYVZWP39/Tz44IO8/vrrlQ1QkiRpFBedeREP3/gwqy5cRVOmiZa6lmNbU6aJVReu4uEbH+aiMy+qdqhSzXpp1+eKM69OLZ/v5aVdny9zRJouSl6FUNL08PjjjzM4OFhS28HBQZ544gluuOGGMkclSZJUmvaWdu656h7uvuJudhzYQfdgNy11LVwy5xJrXkmnKZfroaPjYUZ6bHAkMWbp6NjIBYs/Ut7ANC2YwJJ0zMDAAE899dSoM6+Gy+fzbN++neuvv75shd17s708feDpY4PPS+dc6uBTkiSdUlOmiZXtK6sdhjSlHD68/YSC7aUIIc3hzu3lCUjTykQTWKWsjCOpxuzevfuEgu2lSKVS7Nmzh/PPP39SY+no7mDdM+vYtHMTmdTxX1XZfJabFt/EmovXWLtC0nTj+EuSVFW53KkXSThZIJftBuomOxxNM2MmsEIIv2TkwdLXQwjDnzGKMcZFkxaZpIrr7++v6HGjefbgs9z5jSEFWHMn7t/4wka+9ouv8cDbHrCGhaQpx/GXJCmp0umWCRwVSWdagMn9zKDp51QzsB7Fu33StNHQ0FDR40bS0d3Bnd+4c8wlsLMxS/dgN3c+cicP3/iwM7EkTTWOvyRJiTRjxnJizJ264RAx5pjRdhnwZFli0vQxZgIrxvjeCsUhKQEWLlxYcv2ro/L5PAsWLJi0GNY9s46+bF9Jbfuyfax7Zh33XHXPpF1fkqrN8ZckKanS6Sba229mz571lFLIPYQM7e2rSKetYavTN75iN5KmtPr6epYtW1ZyHaxUKsVll102aQXcewZ72LRzU+GxwRJkY5bNP99Mb7a0ZXwlSZIkgFyul0OHvsuBA9/g0KHvkss5nizVeYs+UHJCKpVq4rxFv1/miDRdnKoG1ooY49bxnDCE0AicF2N87rQik1QVV199NTt27CiprlVdXR1vfetbJ+3aOw7uKBRsH8es5HRIs+PADlcZkjRlOP6SpPLp69vLS7s+R0fHwyesphdjjvb2mzlv0QdobJxfxQiTr7FxPiuWf4mt295NPt9LHOHmcwgZUqkmViz/kn+fmjSnmmbxnRDC5hDC20MIY7YNIZwbQvgo8CLw25MWoaSKmjlzJqtXr6ahoWHUmVipVIqGhgZWr17NzJkzJ+3aY9W9KsdxkpRQjr8kqQw6O5/m+0/+Fnv2rCef7yWX6z625fO97N27nu8/+Vt0du6odqiJ19Z2CVdd+XXmz38HqVQT6XQL6XQr6XQLqVQT8+e/g6uu/DptbZdUO1RNIacq4r4E+BSwCegMIXwPeAo4QGEJgVnAG4CVwMUUBk93xxi/UraIJZXd/Pnzueuuu3jiiSfYvn37CYmsfD7PZZddxlvf+tZJTV4BtNRNZFWTiR8nSQnl+EuSJllf3162bnsPuVzXqG1izJLLdbF127u56sqvO3PoFBob57N0yZ9xweKPcLhzO7lsN+lMCzPaLrPmlcriVEXc9wD/nxDCR4D3AW8D/iMw9F/ji8B3gI8Aj8QYXTVHmgJmzpzJDTfcwPXXX8+ePXvo7++noaGBBQsWTFrNq+EunXMp2Xxp9a+OysUcl8wp352d3mwvTx94mu7BblrqWrh0zqU0ZfwPWVL5OP6SpMn30q7PlVznKp/v5aVdn2fpkj8rc1RTQzrdxOxZb652GJoGTjUDC4AY4yvAfytuhBBmAo3AqzHGwbJFJ6nq6uvrOf/88ytyraZMEzctvomNL2wsqZB7JmS48Y03liWh1NHdwbpn1rFp56ZCXa6ibD7LTYtvYs3Fa2hvaZ/060rSUY6/JGly5HI9dHQ8TCmr5kFhJlZHx0YuWPwRZxJJCTKhVQhjjK/HGPc5eJI02dZcvIbGTGNJbRszjay5eM2kx/DswWe5efPNbHxhI325ProHu49tfbk+Nr6wkZs338yzrz476deWpNE4/pKkiTl8ePsJBdtLEUKaw53byxOQpAmZUAJLksqlvaWdB972AC11LWTCyJNEMyFDS10LD7ztgUmfBdXR3cGd37iT7sHuUWeBZWOW7sFu7nzkTjq6Oyb1+pIkSZpcudxEFvwJ5LIuFCQliQksSYlz0ZkX8fCND7PqwlU0ZZpoqWs5tjVlmlh14SoevvFhLjrzokm/9rpn1tGX7SupbV+2j3XPrJv0GCRJkjR50umJLPgTSWdcKEhKkpJqYElSpbW3tHPPVfdw9xV3s+PAjmNF1C+Zc0nZiqj3DPawaeemkupvQWEm1uafb+buK+62sLskSVJCzZixnBhz4zomxhwz2i4rT0CSJsQElqREa8o0sbJ9ZUWutePgjkLB9nGMb9IhzY4DOyoWoyRJksYnnW6ivf1m9uxZTymF3EPI0N6+ygLuUsL4CKEkFXUPTqzOwUSPkyRJUmWct+gDJSekUqkmzlv0+2WOSNJ4mcCSpKKWuonVOZjocZIkSaqMxsb5rFj+JdLpVsIoCwWFkCGdbmXF8i/R2Di/whFKOpVJSWCFEFaFEMb3ULEkJcylcy4lmy+t/tVRuZjjkjmXlCkiSRqd4y9JGp+2tku46sqvM3/+O0ilmkinW0inW0mnW0ilmpg//x1cdeXXaWtzbCclkTWwJKmoKdPETYtvYuMLG0sq5J4JGW58440WcJckSaoRjY3zWbrkz7hg8Uc43LmdXLabdKaFGW2XWfNKSrgxE1ghhPeUeJ43TUIsklR1ay5ew9d+8bWS6lo1ZhpZc/GaCkQlaTpx/CVJ5ZdONzF71purHYakcTjVDKz/DUQglHCueNrRSFKVtbe088DbHuDOR+6kL9s34kysTMjQmGnkgbc9QHtLexWilDTF/W8cf0mSJJ3gVAmsQ8A/AZ8+Rbt/A/yPSYlIkqrsojMv4uEbH2bdM+vY/PPNpEP62L5czHHjG29kzcVrTF5JKhfHX5KOGezvo+Nnz9Pf20NDUzPtFyyhrqGx2mFJUsWdKoH1Y+ANMcafj9UohNAxeSFJUvW1t7Rzz1X3cPcVd7PjwA66B7tpqWvhkjmXWPNKUrk5/pJE58FX+MGmDTz77UdJpY7fTMvnc1x0zW+y8qZbaDvr7CpGKEmVVUoCa20J5zkAfOf0w5GkZGnKNLGyfWW1w5A0vTj+kqa5fT//Gf/46Y8x2N9PzJ282OiORx/hp49v4baPf4a5b1hchQglqfJSY+2MMX40xth2qpPEGL8TY/z1yQtLkiRpenL8JU1vnQdf4R8//TEGenpGTF4B5HM5Bnp6eOhTH6Xz4CsVjlCSqmPMBJYkSZIkqXJ+sGkDg/39JbXN9vfzg00byxyRJCXDmAmsEMJvhBBaKhWMJEnSdOf4S5q+Bvv6ePbbj44682q4fC7HT779LQb7+8ocmSRV36lmYH0T+NWj34QQUiGE74QQLihvWJIkSdOW4y9pmurY+fwJBdtLEVJpOn72QpkikqTkOFUCK4zw/dVAa3nCkSRJmvYcf0nTVH9vz4SOG5jgcZJUS6yBJUmSJEkJ0NDUPKHj6id4nCTVkky1A5Aknb6eXJ6tnUfoyuZozaRZ0XYGzWnvUUiSVEvaL1hCPl9a/aujYj5H+wUXlikiSUqOUhJYC0IIbyj+OT3ktdeHN4wx/mKyApMkndruvgHu37Wf9fsOkQnHnzrKxsjt82azdtFcFjbWVzFCSRPk+EuahuoaGrnomt/k6UcfKamQeyqd5levuY66hsYKRCdJ1VVKAmvDCK/9n1Hajq/ioCRpwrZ39nDr9p305vJkAYgn7P9yx6ts3P8aG5YvZlmrjxZINcbxlzRNrbzpFn76+BYGek5d1yrT0MDKm1ZVICpJqr5TJbDeV5EoJEnjsrtvgFu376Qrlx+1TTZCVy7PLdt28tjKpc7EkmqH4y9pGms762xu+/hneOhTHyXb309+hJlYqXSaTEMDt338M7SddXYVopSkyhszgRVjfLBSgUiSSnf/rv30jpG8Gqo3n+f+l/dz74XnlDkqSZPB8ZekuW9YzOrP3s8PNm3kJ9/+FiF1fKJlzOf41WuuY+VNq0xeSZpWLOIuSTXmSC7H+n2Hio8Nnlo2wkMdr/GJNy6wsLskSTWi7ayzuW7NXVxzx/vo+NkLDPT2UN/UTPsFF1rzStK0ZAJLkmrMts6eYsH2eMq2R6UDbO08wtWzWssXmCRJmnR1DY2ce/Gl1Q5DkqrOW/GSVGO6suNbXvuo7mxpjxxKkiRJUtKYwJKkGtOamdiCYy0Zf+VLkiRJqk1+mpGkGrOi7QyysfTHBwFysXCcJEmSJNUiE1iSVGOa0ylunze75CKGmQC3tc+ygLskSZKkmuWnGUmqQWsXzaWpxIRUUyrF2nPnljkiSZIkSSofE1iSVIMWNtazYfliWtMpMmHkNpkArekUG5YvZmFjfWUDlCRJkqRJZAJLkmrUstZmHlu5lDvmn0lzKkVr+vjWnEpxx/wzeWzlUpa1Nlc7VEmSJEk6LaWWUJEkJdDCxnruvfAcPvHGBWztPEJ3Nk9LJsWKtjOseSVJkiRpyjCBJUlTQHM6xdWzWqsdhiRJkiSVhbfnJUmSJEmSlGgmsCRJkiRJkpRoJrAkSZIkSZKUaCawJEmSJEmSlGgmsCRJkiRJkpRoJrAkSZIkSZKUaCawJEmSJEmSlGgmsCRJkiRJkpRoJrAkSZIkSZKUaCawJEmSJEmSlGiZagcgSZIkSUmSy/Vy+PA2crlu0ukWZsxYTjrdVO2wJGlaM4ElSZIkSUBf315e2vU5OjoeJoT0sddjzNHefjPnLfoAjY3zqxihJE1fJrAkSZIkTXudnU+zddt7yOV6gexJ+/fuXc++fZtZsfxLtLVdUvkAJWmaq3gNrBBCewjhwRDCgRBCXwjhJyGEa4bsDyGET4YQ9oYQekMIW0IIFw07R0MI4a9DCAdDCEdCCJtDCAsr/V4kSZIk1b6+vr3F5FUXIyWvAGLMkst1sXXbu+nr21vZACVJlU1ghRBmAk8AAbgB+BXgg8ArQ5r9MXB38fU3Ffd9M4TQOqTNfcAq4J3ArwFtwFfD0Hm+kiRJklSCl3Z9rjjz6tTy+V5e2vX5MkckSRqu0jOw/hjoiDG+J8b4gxjjizHGR2OMP4XC7CvgQ8C9McaNMcZngNVAK/CuYpsZwBrgwzHGb8YYtwLvBi4Frqvw+5EkSZJUw3K5Hjo6Hma0mVfDxZilo2NjyQkvSdLkqHQNrN8F/iWEsB74dWAv8ADwNzHGCJwPzAO+cfSAGGNvCOE7wFuAzwOXA3XD2vwyhPDTYptHhl80hPB+4P0Ac+bMYcuWLeV4b0q47u5u+34ast+nL/teklSKw4e3M94HOUJIc7hzO7NnvblMUUmShqt0AusNwB8AfwXcC1wG/HVx3/0UklcA+4cdtx9YUPzzPCAHHByhzTxGEGP8AvAFgCVLlsRrr712ovGrhm3ZsgX7fvqx36cv+16SVIpcrnsCRwVy2YkcJ0maqEonsFLAj2KMf1L8flsI4QLgDykksI6Kw44LI7w2XCltJEmSJOmYdLplAkdF0pmJHCdJmqhK18DqAH4y7LWfAucW/7yv+HX4TKqzOT4rax+QBs4ao400rQ329/HyM0/xsx9+j5efeYrB/r5qhyRJqjJXgpZGNmPGcmLMjeuYGHPMaLusPAFJRT25PI+/1sU/H3idx1/roieXr3ZIUlVVegbWE8CSYa9dCOwq/vlFCgmq64EfAoQQGimsNPjhYpsfA4PFNl8ptllIYUXD75YxdinxOg++wg82beDZbz9KKnW8lkM+n+Oia36TlTfdQttZZ1cxQklSNQxZCfpxCitBH6BQ2mGklaDfCzwPfILCStBLYoxdxTb3ATdRWAn6VeAvKawEfXkcbwZASoh0uon29pvZs2c9pRRyDyFDe/sq0umm8genaWl33wD379rP+n2HyIRw7PVsjNw+bzZrF81lYWN9FSOUqqPSCay/Ar4bQvgYsB5YDvx74KMAMcYYQrgP+FgI4TngBeAeoJtisirGeDiEsA74bAjhFY4Pnp4GvlXZtyMlx76f/4x//PTHGOzvJ+ZO/gyx49FH+OnjW7jt459h7hsWVyFCSVIVHVsJeshrLx79w/CVoIuvraaQ4HoX8PkhK0G/L8b4zWKbd1O4EXkdIyykI9WK8xZ9gH37NpPLdZ2ybSrVxHmLfr8CUWk62t7Zw63bd9KbyxfTqSdWyflyx6ts3P8aG5YvZllrczVClKqmoo8Qxhh/SGElwtuAZ4D/Anwc+J9Dmv05hYTU3wA/AtqBfz3kzh/AHwEPU0iCPUEhwfU73vnTdNV58BX+8dMfY6CnZ8TkFUA+l2Ogp4eHPvVROg++MmIbSdKU9bvAkyGE9SGEV0II20MIa4uJKxhlJWjg6ErQMMpK0BTKQRxtI9Wkxsb5rFj+JdLpVkIY+R5/CBnS6VZWLP8SjY3zKxyhatF4HwHc3TfArdt30nUseXWybISuXJ5btu1kd9/A5ActJVilZ2ARY/wa8LUx9kfgk8VttDZ9wAeLmzTt/WDTBgb7+0tqm+3v5webNnLdmrvKHJUkKUGqshJ0COH9wPsB5s6dy5YtWyYaf0m6u7vLfg1VTyX6N8bPMjBwgMHB1wlDXwfq6mbSUD+HrVtfBcobx3Q1VX6GB2PklYEshwazJ/w72gbMrstwdn2GuhDIU0hy5WMkFQKvD2b54GCJczICfPvb+1nQUFeGd1AeU6V/VT0VT2BJmlyDfX08++1HR515NVw+l+Mn3/4W19zxPuoaGsscnSQpIaqyEnSM8QvAFwCuuOKKeO21144z7PHZsmUL5b6GqqeS/ZvL9XK4czu5bDfpTAsz2i6z5lUFTIWf4WOPANbnyY5QpioToCEEfv3MNh59tZNMXSHFFWOkOxWhofRrNadSPHP1xTSnK70228RMhf5VddXGv3RJo+rY+fwJBdtLEVJpOn72QpkikiQlkCtBS+OQTjcxe9abmTPnembPerPJK5Wk1EcAj+QjXz1wmN58pCuXpyuXpzt/qnsFJ0sH2Np55PSClmqICSypxvX39kzouIEJHidJqknjWQkaOGEl6KOrPA9dCfpoG1eClqaB8dZymq7u37Wf3gr/3XRn7QtNHz5CKNW4hqZmQjpPy/wjpOvz5AZSHHmliZgdOz9d3+SqJZI0jbgStKRx2903wP279rN+3yEy4Xg1p2yM3D5vNmsXzWVh4wjPyU1DR3I51u87NOrMq3JpyTgnRdOHCSyphvX17aU79RBLbttOzAcihUIkpCKHXpjBK9vPYrD75MKOMZ+j/YILKx2uJKlKYow/DCH8LvAZCitAv8zIK0E3UVgJehbwJCOvBJ2lkARrAh4F3uNK0NLUc6yW07HH4U58xO3LHa+ycf9rbFi+mGWt3hjd1tlTTPKN/1HAicpFWNF2RsWuJ1WbCSypRnV2Ps3Wbe8hl+slVRcZ/p/lmUtfZ/biTnZ+9Vx6Dx6v25BKp/nVa66zgLskTTOuBC2pVENrOY0mG6Erl+eWbTt5bOXSaT8Tqytb2Tx+JsBt7bNqpoC7NBn81y7VoL6+vcXkVReMMlE5lYZ0Q57Fv/0ydS2Dx17PNDSw8qZVFYpUkiRJtWY8tZx683nuf9l1HFoz41tU6XQ1pVKsPXduRa8pVZsJLKkGvbTrc+RyvSW1DZk8Zy87SCqdpr65mds+/hnazjq7zBFKkiSpFo23llM2wkMdr037wu4r2s4gG8v/+GAmQGs6xYbli6f9rDdNPz5CKNWYXK6Hjo6HGW3m1XCpNJy5pJOzWn6TlTe+w+SVJEmSRjWRWk7pAFs7j3D1rNbyBZZwzekUt8+bzZf3vjqphdxb0imOls/PxcJjg2vPtXi+picTWFKNOXx4OyGMb4pyXWMzl/7em2ibZfJKkiRJo5toLafu7PSegQWwdtFcNu5/bczaYaXKBHjHvNn87txZdGfztGRSrGg7w5pXmtZMYEk1JpfrnsBRgVx2IsdJkiRpOploLaeWjImVhY31bFi+mFu27aQ3nyd7Gk8UNqVSfOi8ec60kobwt4xUY9LplgkcFUlnJnKcJEmSppOJ1HLKxcJxgmWtzTy2cil3zD+T5lSK1vTxrTmV4rfnzKAlnSITRj7eGlfS6JyBJdWYGTOWE+P4pnbHmGNG22XlCUiSJElTxnhrOWVCoS6Tj7Ydt7CxnnsvPIdPvHEBWzuPnPQI4O6+Ae5/eT8PdbxGekgiyxpX0thMYEk1Jp1uor39ZvbsWU8phdxDyNDevop0uqn8wUmSJKnmjaeWU1Mqxdpz51YgqtrTnE6NWNj+VAkuSSPzp0OqQect+kDJCalUqonzFv1+mSOSJEnSVHG0llOrj7qV1dEE19vnzODqWa0mr6RT8CdEqkGNjfNZsfxLpNOthDDyRMoQMqTTraxY/iUaG+dXOEJJkiTVslPVcrpj/pk8tnIpy1qbqx3qlNGTy/P4a13884HXefy1LnomYTVDaSrxEUKpRrW1XcJVV36dl3Z9no6OjYSQBgIQiTFHe/sqzlv0+yavJEmSNCE+6lYZu/sGuH/XftbvO0QmHJ/ylo2R2+fNZu0ia2JJYAJLqmmNjfNZuuTPuGDxRzjcuZ1ctpt0poUZbZdZ80qSJEmTYrRaTjp92zt7uHX7Tnpz+WJ12xNXgPxyx6ts3P8aG5Yvdrabpj0TWNIUkE43MXvWm6sdhiRJkqQS7e4b4NbtO8cslp+N0JXLc8u2nTy2cqkzsTStOe9TkiRJkqQKu3/XfnpLrHPVm89z/8v7yxyRlGwmsCRJkiRJqqAjuRzr9x0qPjZ4atkID3W8ZmF3TWsmsCRJkiRJqqBtnT0nFGwvRTrA1s4jZYpISj4TWJIkSZIkVVBXNjeh47qzzsDS9GUCS5IkSZKkCmrNpCd0XEvGj/CavvzXL0mSJElSBa1oO4NsjOM6JhcLx0nTlQksSZIkSZIqqDmd4vZ5s8mU2D4T4Lb2WTSn/Qiv6ct//ZIkSZIkVdjaRXNpKjEh1ZRKsfbcuWWOSEo2E1iSJEmSJFXYwsZ6NixfTGs6RWaUBQkzAVrTKTYsX8zCxvrKBigljAksSZIkSZKqYFlrM4+tXMod88+kOZWiNX18a06luGP+mTy2cinLWpurHapUdaU+citJkiRJkibZwsZ67r3wHD7xxgVs7TxCdzZPSybFirYzrHklDWECS5IkSZKkKmtOp7h6Vmu1w5ASy3SuJEmSJEmSEs0EliRJkiRJkhLNBJYkSZIkSZISzQSWJEmSJEmSEs0EliRJkiRJkhLNBJYkSZIkSZISzQSWJEmSJEmSEs0EliRJkiRJkhLNBJYkSZIkSZISzQSWJEmSJEmSEs0EliRJkiRJkhLNBJYkSZIkSZISzQSWJEmSJEmSEs0EliRJkiRJkhLNBJYkSZIkSZISzQSWJEmSJEmSEs0EliRJkiRJkhLNBJYkSZIkSZISzQSWJEmSJEmSEs0EliRJkiRJkhLNBJYkSZIkSZISzQSWJEmSJEmSEs0EliRJkiRJkhLNBJYkSZIkSZISzQSWJEmSJEmSEs0EliRJkiRJkhLNBJYkSZIkSZISzQSWJEmSJEmSEs0EliRJkiRJkhLNBJYkSZIkSZISzQSWJEmSJEmSEs0EliRJkiRJkhLNBJYkSZIkSZISzQSWJEmSJEmSEs0EliRJkiRJkhItU+0AJEmSJEmqNT25PFs7j9CVzdGaSbOi7Qya084RkcrFBJYkSZIkSSXa3TfA/bv2s37fITIhHHs9GyO3z5vN2kVzWdhYX8UIpanJBJYkSZIkSSXY3tnDrdt30pvLkwUgnrD/yx2vsnH/a2xYvphlrc3VCFGaspzfKEmSJEnSKezuG+DW7TvpOpa8Olk2Qlcuzy3bdrK7b6Ci8UlTnQksSZIkSZJO4f5d++nN5Utq25vPc//L+8sckTS9mMCSJEmSJGkMR3I51u87NOrMq+GyER7qeI2eEhNekk7NBJYkSZIkSWPY1tlzQsH2UqQDbO08UqaIpOnHBJYkSZIkSWPoyuYmdFx31hlY0mQxgSVJkiRJ0hhaM+kJHdeS8SO3NFn8aZIkSZIkaQwr2s4gG+O4jsnFwnGSJocJLEmSJEmSxtCcTnH7vNlkSmyfCXBb+yya037kliaLP02SJEmSJJ3C2kVzaSoxIdWUSrH23LlljkiaXkxgSZIkSZJ0Cgsb69mwfDGt6RSZURYkzARoTafYsHwxCxvrKxugNMWZwJIkSZIkqQTLWpt5bOVS7ph/Js2pFK3p41tzKsUd88/ksZVLWdbaXO1QpSmn1Ed4JUmSJEma9hY21nPvhefwiTcuYGvnEbqzeVoyKVa0nWHNK6mMTGBJkiRJkjROzekUV89qrXYY0rRheliSJEmSJEmJZgJLkiRJkiRJiWYCS5IkSZIkSYlmAkuSJEmSJEmJZgJLkiRJkiRJiWYCS5IkSZIkSYlmAkuSJEmSJEmJZgJLkiRJkiRJiWYCS5IkSZIkSYlmAkuSJEmSJEmJZgJLkiRJkiRJiWYCS5IkSZIkSYlmAkuSJEmSJEmJZgJLkiRJkiRJiWYCS5IkSZIkSYlmAkuSJEmSJEmJZgJLkiRJkiRJiWYCS5IkSZIkSYlmAkuSJEmSJEmJZgJLkiRJkiRJiWYCS5IkSZIkSYlmAkuSJEmSJEmJZgJLkiRJkiRJiVbRBFYI4aUQQhxh+1pxfwghfDKEsDeE0BtC2BJCuGjYORpCCH8dQjgYQjgSQtgcQlhYyfchSZIkSZKkyqn0DKw3Ae1DthVABB4q7v9j4G7gg8W2rwDfDCG0DjnHfcAq4J3ArwFtwFdDCOkKxC9JkiRJkqQKq2gCK8Z4IMa47+gG/BbQCfxjCCEAHwLujTFujDE+A6wGWoF3AYQQZgBrgA/HGL8ZY9wKvBu4FLiuku9FkiRJkiRJlVG1GljFhNUa4Msxxh7gfGAe8I2jbWKMvcB3gLcUX7ocqBvW5pfAT4e0kSRJkiRJ0hSSqeK1r6eQtHqg+P284tf9w9rtBxYMaZMDDo7QZh6jCCG8H3g/wJw5c9iyZcuEg1bt6u7utu+nIft9+rLvpeNCCC8Bi0bY9fUY4w3FG4t/SmG8NAt4EvjDGOOzQ87RAPwFhTIOTcCjwB/EGHeXOXxJkqSqJrD+HfDDGOP2Ya/HYd+HEV4bbsw2McYvAF8AWLJkSbz22mvHFaimhi1btmDfTz/2+/Rl30sneBMwtF5oO/BjTq5D+l7geeATFOqQLokxdhXb3AfcRCGB9SrwlxTqkF4eY8yV+w1IkqTprSqPEIYQzqYwAPq7IS/vK34dPpPqbI7PytpHYfB11hhtJEmSNIR1SCVJUq2rVg2s9wL9wD8Mee1FCgmq64++EEJopLDS4HeLL/0YGBzWZiHwK0PaSJIkaRTWIZUkSbWo4o8QFgdNdwL/MGRKOjHGGEK4D/hYCOE54AXgHqAb+EqxzeEQwjrgsyGEVzg+ff1p4FsVfSOSJEm1qSp1SOfOnVv2unTWvpva7N+pzz6e2uxfna5q1MC6FrgAuGOEfX9OoSjo33C8gOi/HproAv4IyALrOV5A9D3WXpAkSSpJVeqQXnHFFWWvQ2rtu6nN/p367OOpzf7V6ap4AivG+BiFwc5I+yLwyeI22vF9wAeLmyRJkko0pA7pHw55eWgd0l8OeX20OqQHhrX5TlmClSRJGqJaNbAkSZJUee/FOqSSJKkGVeMRQkmSJFWYdUglSVItM4ElSZI0PVyLdUglSVKNMoElSZI0DViHVJIk1TJrYEmSJEmSJCnRTGBJkiRJkiQp0UxgSZIkSZIkKdFMYEmSJEmSJCnRTGBJkiRJkiQp0UxgSZIkSZIkKdFMYEmSJEmSJCnRTGBJkiRJkiQp0UxgSZIkSZIkKdEy1Q5AkqaTnlyerZ1H6MrmaM2kWdF2Bs1p7yVIkiRJ0lhMYElSBezuG+D+XftZv+8QmRCOvZ6NkdvnzWbtorksbKyvYoSSJEmSlFwmsCSpzLZ39nDr9p305vJkAYgn7P9yx6ts3P8aG5YvZllrczVClCRJkqRE87kVSSqj3X0D3Lp9J13Hklcny0boyuW5ZdtOdvcNVDQ+SZIkSaoFJrAkqYzu37Wf3ly+pLa9+Tz3v7y/zBFJkiRJUu0xgSVJZXIkl2P9vkOjzrwaLhvhoY7X6Ckx4SVJkiRJ04UJLEkqk22dPScUbC9FOsDWziNlikiSJEmSapMJLEkqk65sbkLHdWedgSVJkiRJQ5nAkqQyac2kJ3RcS8ZfzZIkSZI0lJ+SJKlMVrSdQTbGcR2Ti4XjJEmSJEnHmcCSpDJpTqe4fd5sMiW2zwS4rX0WzWl/NUuSJEnSUH5KkqQyWrtoLk0lJqSaUinWnju3zBFJkiRJUu0xgSVJZbSwsZ4NyxfTmk6RGWVBwkyA1nSKDcsXs7CxvrIBSpIkSVINMIElSWW2rLWZx1Yu5Y75Z9KcStGaPr41p1LcMf9MHlu5lGWtzdUOVZIkSZISqdTSLJKk07CwsZ57LzyHT7xxAVs7j9CdzdOSSbGi7QxrXkmSJEnSKZjAkqQKak6nuHpWa7XDkCRJkqSa4m1/SZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCWaCSxJkiRJkiQlmgksSZIkSZIkJZoJLEmSJEmSJCVaptoBSNJIenJ5tnYeoSubozWTZkXbGTSnzblLkiRJ0nRkAktSouzuG+D+XftZv+8QmRCOvZ6NkdvnzWbtorksbKyvYoSSJEmSpEozgSUpMbZ39nDr9p305vJkAYgn7P9yx6ts3P8aG5YvZllrczVClCRJkiRVgc/jSEqE3X0D3Lp9J13Hklcny0boyuW5ZdtOdvcNVDQ+SZIkSVL1mMCSlAj379pPby5fUtvefJ77X95f5ogkSZIkSUlhAktS1R3J5Vi/79CoM6+Gy0Z4qOM1ekpMeEmSJEmSapsJLElVt62z54SC7aVIB9jaeaRMEUmSJEmSksQElqSq68rmJnRcd9YZWJIkSZI0HZjAklR1rZn0hI5ryfgrTJIkSZKmAz/9Saq6FW1nkI1xXMfkYuE4SZIkSdLUZwJLUtU1p1PcPm82mRLbZwLc1j6L5rS/wiRJkiRpOvDTn6REWLtoLk0lJqSaUinWnju3zBFJkiRJkpLCBJakRFjYWM+G5YtpTafIjLIgYSZAazrFhuWLWdhYX9kAJUmSJElVYwJLUmIsa23msZVLuWP+mTSnUrSmj2/NqRR3zD+Tx1YuZVlrc7VDlSRJkiRVUKklZySpIhY21nPvhefwiTcuYGvnEbqzeVoyKVa0nWHNK0mSJEmapir6aTCEkA4hfCqE8GIIoa/49dMhhMyQNiGE8MkQwt4QQm8IYUsI4aJh52kIIfx1COFgCOFICGFzCGFhJd+LpPJqTqe4elYrb58zg6tntZq8kiRJkqRprNKfCP8z8IfAvweWAv+h+P2fDGnzx8DdwAeBNwGvAN8MIbQOaXMfsAp4J/BrQBvw1RBCuszxS5IkSZIkqcIqncB6C/BPMcZ/ijG+FGPcDGwGroTC7CvgQ8C9McaNMcZngNVAK/CuYpsZwBrgwzHGb8YYtwLvBi4Frqvw+5EkSUo8Z8FLkqRaV+kaWI8DfxBCWBpjfC6E8KvAbwD/tbj/fGAe8I2jB8QYe0MI36GQ/Po8cDlQN6zNL0MIPy22eWT4RUMI7wfeDzBnzhy2bNlShrempOvu7rbvpyH7ffqy76UTHJ0FvxrYQeHG34NAP/CpYpujs+DfCzwPfILCLPglMcauYpv7gJsozIJ/FfhLCrPgL48x5iryTiRJ0rRU6QTWf6Mwm+onIYRc8fr/Jcb4P4v75xW/7h923H5gwZA2OeDgCG3mMYIY4xeALwAsWbIkXnvttafxFlSrtmzZgn0//djv05d9L53g2Cz44vcvhRBGnQVffG01hVIO7wI+P2QW/PtijN8stnk3sIvCLPiTbiJKkiRNlkonsG4H3kNhIPQscBnwP0IIL8YY1w1pF4cdF0Z4bbhS2kiSJE1HVZ8FP3fu3LLPinTm5dRm/0599vHUZv/qdFU6gfVZ4C9ijP9Q/H5HCGERhSLu64B9xdfnAb8cctzZHJ+VtQ9IA2cBB4a1+U6Z4pYkSaplVZ8Ff8UVV5R9FrwzL6c2+3fqs4+nNvtXp6vSRdybKQx8hsoNieNFCgmq64/uDCE0Ulhp8LvFl34MDA5rsxD4lSFtJEmSdNzQWfArin/+gxDCmmHtnAUvSZISqdIzsP4J+EgI4UUKjxAuB/4j8EWAGGMMIdwHfCyE8BzwAnAP0A18pdjmcAhhHfDZEMIrHC8g+jTwrcq+HUmSpJrgLHhJklTTKp3A+iCFlW7+J4XBTgfwd8D/NaTNnwNNwN8As4AngX89ZPUbgD8CssD6YttHgfe4+o0kSdKIxjML/odwwiz4DxfbDJ0F/5ViG2fBS5KkiqhoAquYhPpQcRutTQQ+WdxGa9NHIRn2wcmMT5IkaYpyFrwkSapplZ6BJUmSpMpzFrwkSappJrAkSZKmOGfBS5KkWlfpVQglSZIkSZKkcTGBJUmSJEmSpEQzgSVJkiRJkqREM4ElSZIkSZKkRDOBJUmSJEmSpEQzgSVJkiRJkqREM4ElSZIkSZKkRDOBJUmSJEmSpETLVDsASZIkSZqqenJ5tnYeoSubozWTZkXbGTSnnUcgSeNlAkuSJEmSJtnuvgHu37Wf9fsOkQnh2OvZGLl93mzWLprLwsb6KkYoSbXFBJYkSZIkTaLtnT3cun0nvbk8WQDiCfu/3PEqG/e/xobli1nW2lyNECWp5jh3VZIkSZImye6+AW7dvpOuY8mrk2UjdOXy3LJtJ7v7BioanyTVKhNYkiRJkjRJ7t+1n95cvqS2vfk897+8v8wRSdLUYAJLkiRJkibBkVyO9fsOjTrzarhshIc6XqOnxISXJE1nJrAkSZIkaRJs6+w5oWB7KdIBtnYeKVNEkjR1mMCSJEmSpEnQlc1N6LjurDOwJOlUTGBJkiRJ0iRozaQndFxLxo9lknQq/qaUJEmSpEmwou0MsjGO65hcLBwnSRqbCSxJkiRJmgTN6RS3z5tNpsT2mQC3tc+iOe3HMkk6FX9TSpIkSdIkWbtoLk0lJqSaUinWnju3zBFJ0tRgAkuSJEmSJsnCxno2LF9MazpFZpQFCTMBWtMpNixfzMLG+soGKEk1ygSWJEmSJE2iZa3NPLZyKXfMP5PmVIrW9PGtOZXijvln8tjKpSxrba52qJJUM0p9PFuSJEmSVKKFjfXce+E5fOKNC9jaeYTubJ6WTIoVbWdY80qSJsAEliRJkiSVSXM6xdWzWqsdhiTVPFP/kiRJkiRJSjQTWJIkSZIkSUo0E1iSJEmSJElKNBNYkiRJkiRJSjQTWJIkSZIkSUo0E1iSJEmSJElKNBNYkiRJkiRJSjQTWJIkSZIkSUo0E1iSJEmSJElKtEy1A5AkSZIkSSPryeXZ2nmErmyO1kyaFW1n0Jx2LoqmHxNYkiRJkiQlzO6+Ae7ftZ/1+w6RCeHY69kYuX3ebNYumsvCxvoqRihVlgksSZIkSZISZHtnD7du30lvLk8WgHjC/i93vMrG/a+xYflilrU2VyNEqeKcdyhJkiRJUkLs7hvg1u076TqWvDpZNkJXLs8t23ayu2+govFJ1WICS5IkSZKkhLh/1356c/mS2vbm89z/8v4yRyQlgwksSZIkSZIS4Egux/p9h0adeTVcNsJDHa/RU2LCS6plJrAkSZIkSUqAbZ09JxRsL0U6wNbOI2WKSEoOE1iSJEmSJCVAVzY3oeO6s87A0tRnAkuSJEmSpARozaQndFxLxo/2mvr8Vy5JkiRJUgKsaDuDbIzjOiYXC8dJU50JLEmSJEmSEqA5neL2ebPJlNg+E+C29lk0p/1or6nPf+WSJEmSJCXE2kVzaSoxIdWUSrH23LlljkhKBhNYkiRJkiQlxMLGejYsX0xrOkVmlAUJMwFa0yk2LF/Mwsb6ygYoVYkJLEmSJEmSEmRZazOPrVzKHfPPpDmVojV9fGtOpbhj/pk8tnIpy1qbqx2qVDGlPlorSZIkSZIqZGFjPfdeeA6feOMCtnYeoTubpyWTYkXbGda80rRkAkuSJEmSpIRqTqe4elZrtcOQqs60rSRJkiRJkhLNBJYkSZIkSZISzQSWJEmSJEmSEs0EliRJkiRJkhLNBJYkSZIkSZISzVUIJdWEnlyerZ1H6MrmaM2ky7Z8cKWuI0mSJEkqnQksSYm2u2+A+3ftZ/2+Q2RCOPZ6NkZunzebtYvmsrCxvmauI0mSJEkaPxNYkhJre2cPt27fSW8uTxaAeML+L3e8ysb9r7Fh+WKWtTYn/jqSJEmSpInxuRhJibS7b4Bbt++k61hS6WTZCF25PLds28nuvoFEX0eSJEmSNHEmsCQl0v279tOby5fUtjef5/6X9yf6OpIkSZKkiTOBJSlxjuRyrN93aNQZUcNlIzzU8Ro9JSaiKn0dSZIkSdLpMYElKXG2dfacUEi9FOkAWzuPJPI6kiRJkqTTYwJLUuJ0ZXMTOq47O76ZUZW6jiRJkiTp9JjAkpQ4rZn0hI5ryYzvV1qlriNJkiRJOj1+CpOUOCvaziAb47iOycXCcUm8jiRJkiTp9JjAkpQ4zekUt8+bTabE9pkAt7XPojk9vl9plbqOJEmSJOn0+ClMUiKtXTSXphITRU2pFGvPnZvo60iSJEmSJs4ElqREWthYz4bli2lNp8iMslBgJkBrOsWG5YtZ2Fif6OtIkiRJkibOBJakxFrW2sxjK5dyx/wzaU6laE0f35pTKe6YfyaPrVzKstbmmriOJEmSJGliSi39IklVsbCxnnsvPIdPvHEBWzuP0J3N05JJsaLtjEmtRVWp60iSJEmSxs8ElqSa0JxOcfWs1ilzHUmSJElS6ZxWIEmSJEmSpEQzgSVJkiRJkqREM4ElSZIkSZKkRDOBJUmSJEmSpEQzgSVJkiRJkqREM4ElSZIkSZKkRDOBJUmSJEmSpEQzgSVJkiRJkqREM4ElSZIkSZKkRDOBJUmSJEmSpEQzgSVJkiRJkqREM4ElSZIkSZKkRDOBJUmSJEmSpEQzgSVJkiRJkqREM4ElSZIkSZKkRDOBJUmSJEmSpEQzgSVJkiRJkqREM4ElSZIkSZKkRDOBJUmSJEmSpEQzgSVJkiRJkqREM4ElSZIkSZKkRDOBJUmSJEmSpEQzgSVJkiRJkqREM4ElSZIkSZKkRDOBJUmSJEmSpEQzgSVJkiRJkqREM4ElSZIkSZKkRDOBJUmSJEmSpEQzgSVJkiRJkqREM4ElSZIkSZKkRDOBJUmSJEmSpEQzgSVJkiRJkqREM4ElSZIkSZKkRKt4AiuE0BpCuC+EsCuE0BtC+G4I4U1D9ocQwidDCHuL+7eEEC4ado6GEMJfhxAOhhCOhBA2hxAWVvq9SJIk1QrHYJIkqZZVYwbWA8DbgNXAJcA3gG+FEBYU9/8xcDfwQeBNwCvAN0MIrUPOcR+wCngn8GtAG/DVEEK6Em9AkiSpBjkGkyRJNauiCawQQhOFQc9HYoxbYow7Y4yfBHYCd4UQAvAh4N4Y48YY4zMUBlmtwLuK55gBrAE+HGP8ZoxxK/Bu4FLgukq+H0mSpFrgGEySJNW6Ss/AygBpoG/Y673A1cD5wDwKdwQBiDH2At8B3lJ86XKgblibXwI/HdJGkiRJxzkGkyRJNS1TyYvFGLtCCN8D7gkhPAPsozAF/c0U7gDOKzbdP+zQ/cDR6e3zgBxwcIQ28xhBCOH9wPuL3/YXr63p5yxO/nejqc9+n77s++lrSbUDSJqEjMG6QwjPn877KIE/91Ob/Tv12cdTm/079ZV1DFbRBFbRu4H/G9hNYRC0Ffh7YMWQNnHYMWGE14YbtU2M8QvAFwBCCD+KMV4x/rBV6+z76cl+n77s++krhPCjaseQUFUdg1WCP/dTm/079dnHU5v9O/WVewxW8SLuMcafxxivAVqAc2KMKylMR3+Rwt1AOPku3tkcvyO4j8IU+LPGaCNJkqQhHINJkqRaVo1VCAGIMR6JMXaEEGZRWBFnE8cHUNcfbRdCaKSwys13iy/9GBgc1mYh8CtD2kiSJGkEjsEkSVItqvgjhCGEt1FInD0HLAY+CzwP/K8YYwwh3Ad8LITwHPACcA/QDXwFIMZ4OISwDvhsCOEV4FXgL4GngW+VEELFprErcez76cl+n77s++nLvh9BAsZglWDfT23279RnH09t9u/UV9Y+DjGeqqzBJF8whNuA/wosBA4BG4GPxRgPF/cH4E+B3wdmAU8Cf1hczvnoORopDLreBTQBjwJ/UFwJR5IkScM4BpMkSbWs4gksSZIkSZIkaTyqVgNLkiRJkiRJKoUJLEmSJEmSJCVaTSWwQgh/GEJ4OoTQWdy+F0K4Ycj+T4UQngshHAkhvBZCeDSE8JZh52gIIfx1COFgsd3m4go6Q9vMCiF8KYRwuLh9KYQws0JvUyMooe9DCOGTIYS9IYTeEMKWEMJFw85h39egEMKfhBB+WOz3AyGEfwohXDysTRxl+5shbez/GlNK3w9r/4Viv/+nYa/b9zWkxJ/5m0MIjxT3xxDCtSOcx36vMSX8X+84r8aV0MchOJ6rWSX+/nbMVsNK6eNh7R2b1ZASf4arOgarqQQWsBv4z8AK4Arg/wX+Twjh0uL+54E/BC4BrqawJPS/hBDmDjnHfcAq4J0UloZuA74aQkgPafOV4jX+DfD24p+/VJ63pBKdqu//GLgb+CDwJuAV4JshhNYh57gP+74WXQv8T+AtwG8AWeBbIYTZQ9q0D9t+p/j6Q0Pa3If9X2uu5dR9D0AI4RYKP/t7RzjPfdj3teRaTt3vZwDfBf7jGOe5D/u91jjOm/ocz01t1+KYbaq7FsdmU9m1JH0MFmOs6Y3CKjq/P8q+NiACbyt+PwMYAP7tkDbnAPkhbX6leMxbh7S5uvjakmq/X7eT+x4IQAeFlZSO7msCuo7+27Dvp84GtAA54HfGaPN3wPNDvrf/p8A2Wt8Di4A9xT58CfhP9v3U2cb6mQfOKvbTtcNet9+nyOY4b+pvjuem7uaYbepvjs2m9pbEMVitzcA6JoSQDiG8g8Jf6ndH2F8PvB/oBLYXX74cqAO+cbRdLCz7/FMKWUaANwPdw875BHBkSBtV0Qh9fz4wjxP7tRf4Dsf7zL6fOlopzB59baSdIYQW4B0UBkRH2f9Tw0l9H0LIAH8PfDrG+NMRjrHva9+YP/OjsN9rnOO8qc/x3LTgmG3qc2w2tSVuDJYZRyCJEEK4BPge0EjhTf9ejHHHkP2/DfwD0EzhLs71Mcb9xd3zKGQQDw477f7ivqNtDsRiGhAgxhhDCK8MaaMqGK3vw/H6F/uHHbIfWFD8s30/dfwPCh9WvjfK/ncBDcCDQ16z/6eGkfr+z4BXY4x/O8ox9n3tO9XP/Ejs9xrlOG/qczw3rThmm/ocm01tiRuD1VwCi0L9g8uAmRSeq3wwhHBtjPGZ4v7HivvPAv4d8FAI4c0xxo4xzhkoTFc7KpbQRpU3Yt8P2T+8f0rpM/u+hoQQ/pLC9NKrY4y5UZr9O+D/xBgPlHJK7P+aMFLfhxCuAd5L4ffCuE+JfZ94Jf7Mj+uU2O9J5zhv6nM8Nw04Zpv6HJtNbUkdg9XcI4QxxoEY484Y449ijH9CISP4R0P2Hynu/36McQ0wCNxZ3L0PSFMY9Ax1Nsfv9uwDzg4hhKM7i3+ew8l3hFRBY/T9vmKT4dna4f1q39ewEMJfUSgE+Bsxxl+M0uYyCkVh/27YLvu/ho3R979OoQBsRwghG0LIUqi58N9CCLuLbez7GlXKz/wY7Pca5Thv6nM8N/U5Zpv6HJtNbUkeg9VcAmsEKQpTT0vZ/2MKA53rj+4MheUcf4Xjz19+j8Kz+G8eco43c7zavpLjaN++SOGHYGi/NlJY8eBon9n3NSyE8D8oTDP/jRjjc2M0fT+FQpHfGva6/V+jTtH3/xO4lMJdvqPbXuCvgN8strHva9A4fuZHY79PHY7zpj7Hc1OIY7apz7HZ1Jb4MdhYFd6TtgH3UvhP7DwKSyj/VwrV7P8NhZVoPg1cCZxLoXjY/w30A5cOOcffUlgR4TpgOYWp6NuB9JA2/wzsAK4q/kXuAP6p2u9/Om9j9X1x/3+mUMj1ZuBiCvUx9gKt9n1tb8DfFPv2NyjclT26tQxr1wwcZsjqRcP22/81tpXa98OOeYkhK93Y97W3ldLvwGwKg+JrKUw1v7P4/Tz7vXa3sf6vx3HelNjG6uPifsdzNbyV8vu72M4xW41upfbxsGNewrFZTWyl9C9VHoNV/S9pnH+h/xvYRWGw8gqFjP3RpRibgf+n+J9cf/HrJuDKYedoBP4aeBXoAf4JOGdYm9nAl4ud11n888xqv//pvI3V98X9AfgkhYKufcC3gYvt+9rfir8YR9o+Oazd+4AsMH+U89j/NbaV2vfDjnmJkwdJ9n0NbaX0O4X6GqdqY7/X2DbW//U4zpsS21h9XNzveK6Gt1L/38YxW81upfbxsGNewrFZTWyl9C9VHoOF4sGSJEmSJElSIk2FGliSJEmSJEmawkxgSZIkSZIkKdFMYEmSJEmSJCnRTGBJkiRJkiQp0UxgSZIkSZIkKdFMYEmSJEmSJCnRTGBJqrgQwntDCHGU7bpim0UhhE0hhF0hhN4QwsEQwpYQwr8Zx3UWhBCOhBCuGPLa/w4h7B6l/XXFGK4dxzWWhxB6QgjnlnqMJElSpTn+klTrMtUOQNK0diswfDDzk+LXFuAgcE+xTRvw74CvhxBWxRgfLuH8nwIeizH+aJLiPUmMcVsI4ZvFa60u13UkSZImieMvSTXJBJakatoeY9w50o4Y47PAmqGvhRC+BrwIvA8YcwAVQpgL3AH83uSEOqbPA5tCCH8SY9xbgetJkiRNlOMvSTXJRwgl1YwYYxY4DAyW0Py9QBfwyESvd4qp9p8c0vQbQGfxmpIkSVOG4y9JSeEMLEnVlA4hDP09FGOMuaENQggpCsn2syhMYb8Q+A8lnPvtwPeKg66TDLvuUcOT+l8D3jzstX8LrAV+OiTobAjhe8VrfqaE2CRJkqrF8ZekmmQCS1I1PTfs+yeAq4e99ufA3cU/dwPviDE+OtZJQwgBuBL4q1GaLKCEu4gxxgPAgSHnfSuFQdxfxRjXD2u+DfhwCCEVY8yf6tySJElV4vhLUk0ygSWpmn6PE4uIdo3Q5j7gH4B5wHuAr4QQbokxfnWM884Emhgy+BnmFeCGEV5fCfzNSAeEEM4D/h8KU+L/0whNDgANwGwKxU8lSZKSyPGXpJpkAktSNT0zWhHRo2KMuzk+yPpqCGEL8BfAWAOoxuLX/lH2D460Mk4IYeZIjUMIbcXr7QbeNcodvt7i16Yx4pIkSao2x1+SapJF3CXVmh8Bi0/R5tXi11mne7EQQprCHchZwO/EGI+M0nR28at3/yRJ0lTj+EtS1TkDS1LNKBYUvRr4+VjtYowDIYQXgTdMwmX/EvhXwK/FGPeM0e584Jcxxt4x2kiSJNUUx1+SksIElqREKi6TPJtCYdF9FGowrKFQJ+FdJZziO8W2pxPDO4B/D/xXoCGEcNWQ3buL0+uPurJ4TUmSpJrk+EtSkvkIoaSk2gpcDPw18A0Kq+H0UbgT9w8lHL8euLhY/HOilha//gnwvWHbnUcbhRDOAZZRmOouSZJUqxx/SUqsEGOsdgySNOmK091/BvyvGOOny3yt/wzcBbwxxpgr57UkSZKSyvGXpHJyBpakKam4Us0ngA+GEJrLdZ0QQiPwH4BPOHiSJEnTmeMvSeVkDSxJU9lXgAXAecBPynSN84D/AXypTOeXJEmqJY6/JJWFjxBKkiRJkiQp0XyEUJIkSZIkSYlmAkuSJEmSJEmJZgJLkiRJkiRJiWYCS5IkSZIkSYlmAkuSJEmSJEmJ9v8HlDjvS3YnzS0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1440x1080 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot vowels for native and non-native speakers (F1, F3)\n",
    "fig, ((ax1, ax2)) = plt.subplots(1, 2, figsize=(20, 15))\n",
    "plt.rcParams.update({'font.size': 16})\n",
    "for ax, data in zip([ax1, ax2], [non_native, native]):\n",
    "    f1s = []\n",
    "    f2s = []\n",
    "    f3s = []\n",
    "    labels = []\n",
    "    for key, val in data.items():\n",
    "        cur_f1s = []\n",
    "        cur_f2s = []\n",
    "        cur_f3s = []\n",
    "        for f1, f2, f3 in val:\n",
    "            cur_f1s.append(f1)\n",
    "            cur_f2s.append(f2)\n",
    "            cur_f3s.append(f3)\n",
    "        labels.append(key)\n",
    "        f1s.append(cur_f1s)\n",
    "        f2s.append(cur_f2s)\n",
    "        f3s.append(cur_f3s)\n",
    "    for cur_f1s, cur_f3s, label in zip(f1s, f3s, labels):\n",
    "        ax.scatter(cur_f3s, cur_f1s, s=160, label=label, color=colors[label])\n",
    "    ax.set_xticks(np.linspace(2100, 3300, 5))\n",
    "    ax.set_yticks(np.linspace(200, 900, 8))\n",
    "    ax.set_xlabel('F3 (Hz)')\n",
    "    ax.set_ylabel('F1 (Hz)')\n",
    "    ax.set_title('Non-native' if data == non_native else 'Native')\n",
    "    ax.grid(True)\n",
    "    ax.invert_xaxis()\n",
    "    ax.invert_yaxis()\n",
    "    ax.tick_params(axis=\"x\", labelsize=14)\n",
    "    ax.tick_params(axis=\"y\", labelsize=14)\n",
    "    ax.legend(loc=\"upper right\")\n",
    "plt.savefig('both_f1f3.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "adf1e10a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot vowels for native and non-native speakers, on a single chart (F1, F3)\n",
    "ax.invert_xaxis()\n",
    "ax.invert_yaxis()\n",
    "\n",
    "fig, ((ax)) = plt.subplots(1, 1, figsize=(20, 15))\n",
    "plt.rcParams.update({'font.size': 16})\n",
    "for data in [non_native, native]:\n",
    "    isnat = data == native\n",
    "    f1s = []\n",
    "    f2s = []\n",
    "    f3s = []\n",
    "    labels = []\n",
    "    for key, val in data.items():\n",
    "        cur_f1s = []\n",
    "        cur_f2s = []\n",
    "        cur_f3s = []\n",
    "        for f1, f2, f3 in val:\n",
    "            cur_f1s.append(f1)\n",
    "            cur_f2s.append(f2)\n",
    "            cur_f3s.append(f3)\n",
    "        labels.append(key)\n",
    "        f1s.append(cur_f1s)\n",
    "        f2s.append(cur_f2s)\n",
    "        f3s.append(cur_f3s)\n",
    "    for cur_f1s, cur_f3s, label in zip(f1s, f3s, labels):\n",
    "        ax.scatter(cur_f3s, cur_f1s, s=160 if isnat else 60, label=label, color=colors[label])\n",
    "    ax.set_xticks(np.linspace(2100, 3300, 5))\n",
    "    ax.set_yticks(np.linspace(200, 900, 8))\n",
    "    ax.set_xlabel('F3 (Hz)')\n",
    "    ax.set_ylabel('F1 (Hz)')\n",
    "    ax.set_title('Vowels')\n",
    "    ax.grid(True)\n",
    "    ax.tick_params(axis=\"x\", labelsize=14)\n",
    "    ax.tick_params(axis=\"y\", labelsize=14)\n",
    "    ax.legend(loc=\"upper right\", ncol=2, handletextpad=0, columnspacing=1)\n",
    "plt.savefig('all_f1f3.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "25661b20",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot vowels for native and non-native speakers, on a single chart, with error bars (F1, F2)\n",
    "fig, ((ax)) = plt.subplots(1, 1, figsize=(20, 15))\n",
    "plt.rcParams.update({'font.size': 16})\n",
    "ax.invert_xaxis()\n",
    "ax.invert_yaxis()\n",
    "for data in [non_native, native]:\n",
    "    isnat = data == native\n",
    "    f1s = []\n",
    "    f2s = []\n",
    "    f3s = []\n",
    "    labels = []\n",
    "    for key, val in data.items():\n",
    "        cur_f1s = []\n",
    "        cur_f2s = []\n",
    "        cur_f3s = []\n",
    "        for f1, f2, f3 in val:\n",
    "            cur_f1s.append(f1)\n",
    "            cur_f2s.append(f2)\n",
    "            cur_f3s.append(f3)\n",
    "        labels.append(key)\n",
    "        f1s.append(cur_f1s)\n",
    "        f2s.append(cur_f2s)\n",
    "        f3s.append(cur_f3s)\n",
    "    for cur_f1s, cur_f2s, label in zip(f1s, f2s, labels):\n",
    "        mean_f1 = [np.mean(cur_f1s)]\n",
    "        mean_f2 = [np.mean(cur_f2s)]\n",
    "        stddev_f1 = [np.std(cur_f1s)]\n",
    "        stddev_f2 = [np.std(cur_f2s)]\n",
    "        ax.errorbar(mean_f2, mean_f1, color=colors[label], xerr=[stddev_f2], yerr=[stddev_f1], zorder=1)\n",
    "        ax.scatter(mean_f2, mean_f1, s=160 if isnat else 50, label=label, color=colors[label], zorder=2)\n",
    "    ax.set_xticks(np.linspace(900, 2100, 5))\n",
    "    ax.set_yticks(np.linspace(200, 900, 8))\n",
    "    ax.set_xlabel('F2 (Hz)')\n",
    "    ax.set_ylabel('F1 (Hz)')\n",
    "    ax.set_title('Non-native' if not isnat else 'Vowels')\n",
    "    ax.grid(True)\n",
    "    ax.tick_params(axis=\"x\", labelsize=14)\n",
    "    ax.tick_params(axis=\"y\", labelsize=14)\n",
    "    ax.legend(loc=\"upper right\", ncol=2, handletextpad=0, columnspacing=1)\n",
    "plt.savefig('all_bars_f1f2.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "f76d0d90",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot vowels for native and non-native speakers, on a single chart, with error bars (F1, F3)\n",
    "fig, ((ax)) = plt.subplots(1, 1, figsize=(20, 15))\n",
    "plt.rcParams.update({'font.size': 16})\n",
    "ax.invert_xaxis()\n",
    "ax.invert_yaxis()\n",
    "for data in [non_native, native]:\n",
    "    isnat = data == native\n",
    "    f1s = []\n",
    "    f2s = []\n",
    "    f3s = []\n",
    "    labels = []\n",
    "    for key, val in data.items():\n",
    "        cur_f1s = []\n",
    "        cur_f2s = []\n",
    "        cur_f3s = []\n",
    "        for f1, f2, f3 in val:\n",
    "            cur_f1s.append(f1)\n",
    "            cur_f2s.append(f2)\n",
    "            cur_f3s.append(f3)\n",
    "        labels.append(key)\n",
    "        f1s.append(cur_f1s)\n",
    "        f2s.append(cur_f2s)\n",
    "        f3s.append(cur_f3s)\n",
    "    for cur_f1s, cur_f3s, label in zip(f1s, f3s, labels):\n",
    "        mean_f1 = [np.mean(cur_f1s)]\n",
    "        mean_f3 = [np.mean(cur_f3s)]\n",
    "        stddev_f1 = [np.std(cur_f1s)]\n",
    "        stddev_f3 = [np.std(cur_f3s)]\n",
    "        ax.errorbar(mean_f3, mean_f1, color=colors[label], xerr=[stddev_f3], yerr=[stddev_f1], zorder=1)\n",
    "        ax.scatter(mean_f3, mean_f1, s=160 if isnat else 50, label=label, color=colors[label], zorder=2)\n",
    "    ax.set_xticks(np.linspace(2400, 3300, 4))\n",
    "    ax.set_yticks(np.linspace(200, 900, 8))\n",
    "    ax.set_xlabel('F3 (Hz)')\n",
    "    ax.set_ylabel('F1 (Hz)')\n",
    "    ax.set_title('Non-native' if not isnat else 'Vowels')\n",
    "    ax.grid(True)\n",
    "    ax.tick_params(axis=\"x\", labelsize=14)\n",
    "    ax.tick_params(axis=\"y\", labelsize=14)\n",
    "    ax.legend(loc=\"upper right\", ncol=2, handletextpad=0, columnspacing=1)\n",
    "plt.savefig('all_bars_f1f3.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "ca7c5474",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot vowels for native and non-native speakers, on a single chart, with error bars (F2, F3)\n",
    "fig, ((ax)) = plt.subplots(1, 1, figsize=(20, 15))\n",
    "plt.rcParams.update({'font.size': 16})\n",
    "ax.invert_xaxis()\n",
    "ax.invert_yaxis()\n",
    "for data in [non_native, native]:\n",
    "    isnat = data == native\n",
    "    f1s = []\n",
    "    f2s = []\n",
    "    f3s = []\n",
    "    labels = []\n",
    "    for key, val in data.items():\n",
    "        cur_f1s = []\n",
    "        cur_f2s = []\n",
    "        cur_f3s = []\n",
    "        for f1, f2, f3 in val:\n",
    "            cur_f1s.append(f1)\n",
    "            cur_f2s.append(f2)\n",
    "            cur_f3s.append(f3)\n",
    "        labels.append(key)\n",
    "        f1s.append(cur_f1s)\n",
    "        f2s.append(cur_f2s)\n",
    "        f3s.append(cur_f3s)\n",
    "    for cur_f2s, cur_f3s, label in zip(f2s, f3s, labels):\n",
    "        mean_f2 = [np.mean(cur_f2s)]\n",
    "        mean_f3 = [np.mean(cur_f3s)]\n",
    "        stddev_f2 = [np.std(cur_f2s)]\n",
    "        stddev_f3 = [np.std(cur_f3s)]\n",
    "        ax.errorbar(mean_f3, mean_f2, color=colors[label], xerr=[stddev_f3], yerr=[stddev_f2], zorder=1)\n",
    "        ax.scatter(mean_f3, mean_f2, s=160 if isnat else 50, label=label, color=colors[label], zorder=2)\n",
    "    ax.set_xticks(np.linspace(2400, 3300, 4))\n",
    "    ax.set_yticks(np.linspace(900, 2100, 5))\n",
    "    ax.set_xlabel('F3 (Hz)')\n",
    "    ax.set_ylabel('F2 (Hz)')\n",
    "    ax.set_title('Non-native' if not isnat else 'Vowels')\n",
    "    ax.grid(True)\n",
    "    ax.tick_params(axis=\"x\", labelsize=14)\n",
    "    ax.tick_params(axis=\"y\", labelsize=14)\n",
    "    ax.legend(loc=\"upper right\", ncol=2, handletextpad=0, columnspacing=1)\n",
    "plt.savefig('all_bars_f2f3.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "8b9c8158",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "i 0.00000\n",
      "e 0.00717\n",
      "ɛ 0.17131\n",
      "y 0.05767\n",
      "ø 0.00000\n",
      "œ 0.00001\n",
      "u 0.00000\n",
      "o 0.00000\n",
      "ɔ 0.00000\n",
      "a 0.06120\n"
     ]
    }
   ],
   "source": [
    "# Get p-value for significative differences between datasets of native and non-native speakers, per vowel\n",
    "for key in native.keys():\n",
    "    print(key, f'{1-st.norm.cdf(spm1d.stats.hotellings2(np.array(native[key]), np.array(non_native[key])).z):.5f}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a2e2dff2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# (F1, F2) plot of the /œ/ vowel in native and non-native speakers\n",
    "fig, ((ax)) = plt.subplots(1, 1, figsize=(20, 15))\n",
    "plt.rcParams.update({'font.size': 16})\n",
    "ax.invert_xaxis()\n",
    "ax.invert_yaxis()\n",
    "for data in [non_native, native]:\n",
    "    isnat = data == native\n",
    "    f1s = []\n",
    "    f2s = []\n",
    "    f3s = []\n",
    "    labels = []\n",
    "    for key, val in data.items():\n",
    "        if key != 'œ':\n",
    "            continue\n",
    "        cur_f1s = []\n",
    "        cur_f2s = []\n",
    "        cur_f3s = []\n",
    "        for f1, f2, f3 in val:\n",
    "            cur_f1s.append(f1)\n",
    "            cur_f2s.append(f2)\n",
    "            cur_f3s.append(f3)\n",
    "        labels.append(key)\n",
    "        f1s.append(cur_f1s)\n",
    "        f2s.append(cur_f2s)\n",
    "        f3s.append(cur_f3s)\n",
    "    for cur_f1s, cur_f2s, label in zip(f1s, f2s, labels):\n",
    "        ax.scatter(cur_f2s, cur_f1s, s=160 if isnat else 60, label=label + ' (native)' if isnat else ' (non-native)', color=colors[label])\n",
    "    ax.set_xticks(np.linspace(1300, 2000, 8))\n",
    "    ax.set_yticks(np.linspace(400, 700, 4))\n",
    "    ax.set_xlabel('F2 (Hz)')\n",
    "    ax.set_ylabel('F1 (Hz)')\n",
    "    ax.set_title('Non-native' if not isnat else 'Vowels')\n",
    "    ax.grid(True)\n",
    "    ax.tick_params(axis=\"x\", labelsize=14)\n",
    "    ax.tick_params(axis=\"y\", labelsize=14)\n",
    "    ax.legend(loc=\"upper right\", ncol=2, handletextpad=0, columnspacing=1)\n",
    "plt.savefig('OE.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "dea29d43",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}