{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Time Series Filters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import statsmodels.api as sm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "dta = sm.datasets.macrodata.load_pandas().data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DatetimeIndex(['1959-03-31', '1959-06-30', '1959-09-30', '1959-12-31',\n",
      "               '1960-03-31', '1960-06-30', '1960-09-30', '1960-12-31',\n",
      "               '1961-03-31', '1961-06-30',\n",
      "               ...\n",
      "               '2007-06-30', '2007-09-30', '2007-12-31', '2008-03-31',\n",
      "               '2008-06-30', '2008-09-30', '2008-12-31', '2009-03-31',\n",
      "               '2009-06-30', '2009-09-30'],\n",
      "              dtype='datetime64[ns]', length=203, freq=None)\n"
     ]
    }
   ],
   "source": [
    "index = pd.Index(sm.tsa.datetools.dates_from_range('1959Q1', '2009Q3'))\n",
    "print(index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "dta.index = index\n",
    "del dta['year']\n",
    "del dta['quarter']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "::\n",
      "    Number of Observations - 203\n",
      "\n",
      "    Number of Variables - 14\n",
      "\n",
      "    Variable name definitions::\n",
      "\n",
      "        year      - 1959q1 - 2009q3\n",
      "        quarter   - 1-4\n",
      "        realgdp   - Real gross domestic product (Bil. of chained 2005 US$,\n",
      "                    seasonally adjusted annual rate)\n",
      "        realcons  - Real personal consumption expenditures (Bil. of chained\n",
      "                    2005 US$, seasonally adjusted annual rate)\n",
      "        realinv   - Real gross private domestic investment (Bil. of chained\n",
      "                    2005 US$, seasonally adjusted annual rate)\n",
      "        realgovt  - Real federal consumption expenditures & gross investment\n",
      "                    (Bil. of chained 2005 US$, seasonally adjusted annual rate)\n",
      "        realdpi   - Real private disposable income (Bil. of chained 2005\n",
      "                    US$, seasonally adjusted annual rate)\n",
      "        cpi       - End of the quarter consumer price index for all urban\n",
      "                    consumers: all items (1982-84 = 100, seasonally adjusted).\n",
      "        m1        - End of the quarter M1 nominal money stock (Seasonally\n",
      "                    adjusted)\n",
      "        tbilrate  - Quarterly monthly average of the monthly 3-month\n",
      "                    treasury bill: secondary market rate\n",
      "        unemp     - Seasonally adjusted unemployment rate (%)\n",
      "        pop       - End of the quarter total population: all ages incl. armed\n",
      "                    forces over seas\n",
      "        infl      - Inflation rate (ln(cpi_{t}/cpi_{t-1}) * 400)\n",
      "        realint   - Real interest rate (tbilrate - infl)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(sm.datasets.macrodata.NOTE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "             realgdp  realcons  realinv  realgovt  realdpi    cpi     m1  \\\n",
      "1959-03-31  2710.349    1707.4  286.898   470.045   1886.9  28.98  139.7   \n",
      "1959-06-30  2778.801    1733.7  310.859   481.301   1919.7  29.15  141.7   \n",
      "1959-09-30  2775.488    1751.8  289.226   491.260   1916.4  29.35  140.5   \n",
      "1959-12-31  2785.204    1753.7  299.356   484.052   1931.3  29.37  140.0   \n",
      "1960-03-31  2847.699    1770.5  331.722   462.199   1955.5  29.54  139.6   \n",
      "1960-06-30  2834.390    1792.9  298.152   460.400   1966.1  29.55  140.2   \n",
      "1960-09-30  2839.022    1785.8  296.375   474.676   1967.8  29.75  140.9   \n",
      "1960-12-31  2802.616    1788.2  259.764   476.434   1966.6  29.84  141.1   \n",
      "1961-03-31  2819.264    1787.7  266.405   475.854   1984.5  29.81  142.1   \n",
      "1961-06-30  2872.005    1814.3  286.246   480.328   2014.4  29.92  142.9   \n",
      "\n",
      "            tbilrate  unemp      pop  infl  realint  \n",
      "1959-03-31      2.82    5.8  177.146  0.00     0.00  \n",
      "1959-06-30      3.08    5.1  177.830  2.34     0.74  \n",
      "1959-09-30      3.82    5.3  178.657  2.74     1.09  \n",
      "1959-12-31      4.33    5.6  179.386  0.27     4.06  \n",
      "1960-03-31      3.50    5.2  180.007  2.31     1.19  \n",
      "1960-06-30      2.68    5.2  180.671  0.14     2.55  \n",
      "1960-09-30      2.36    5.6  181.528  2.70    -0.34  \n",
      "1960-12-31      2.29    6.3  182.287  1.21     1.08  \n",
      "1961-03-31      2.37    6.8  182.992 -0.40     2.77  \n",
      "1961-06-30      2.29    7.0  183.691  1.47     0.81  \n"
     ]
    }
   ],
   "source": [
    "print(dta.head(10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
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VFuinuRP7KjzI3+lIjuIiRwAAAJRZfPphjXt7ler5emnOnZRriRlsAAAAlFFcWo7GzlglSXr3zr5qWp9yLVGwAQAAUEqH84v08qKdmrFktwJ8vTR3Yl+1blTX6Vhug4INAACA8/bj9jQ9+vEG7T+UrxujIvTIFR0UUtfX6VhuhYINAACA8xKXlqO756xRi4YBeu22KPWKbOB0JLdEwQYAAMA55RW6dN+89arj46XZd/RRaKCf05HcFgUbAAAA5/Tsgm3auu+Q3rm9N+X6HLhNHwAAAM5q0db9mrksQeMvaKGLO4Q6HcftUbABAADwm5Iyc/XQRxvUMTyw1j76vLQo2AAAADijnLxCTZi1WkWuYr1ya0/5enk6HalaYA02AAAATuMqtrp/3jrFpx/RrPF9uM91KTCDDQAAgNM8/fVW/bg9XU9e01kXtg1xOk61QsEGAADAKd76ZZfeXrpb4y9oodv6NXc6TrVDwQYAAMAJb/2yS099vVVXdm2sx6/s6HScaomCDQAAAEn/K9dXdQ3X1FE95eVJVSwLLnIEAACApv8cr3/+3zZd1TVcL43qIW/KdZlRsAEAAGoxa62mLtqplxbu1FXdwvXSzZTr8qJgAwAA1FLWWj2zYJum/7xLN0RF6LmR3eTpYZyOVe1RsAEAAGqh4mKrv32xSXNWJGps/+Z6YnhneVCuKwQFGwAAoJYpchXr4Y836JO1ezV5UGs9Mqy9jKFcV5RzLrAxxrxtjEkzxmw6aexfxphtxpgNxphPjTH1T3rvMWNMnDFmuzFm6EnjUcaYjSXvTTMlf4rGGF9jzAcl4yuNMS0q9iMCAADguIKiYt3//jp9snav/nR5O8p1JTifFewzJQ371dj3krpYa7tJ2iHpMUkyxnSSNEpS55J9XjXGHH9o/WuS7pLUtuTX8WNOkHTQWttG0ouSnivrhwEAAMBvyyt0adK7Mfq/jan669WddO+QtpTrSnDOgm2t/VlS5q/GvrPWFpX85wpJESWvR0h631qbb63dLSlOUh9jTLikQGvtcmutlTRb0rUn7TOr5PVHki4x/EkDAABUKGutHvpog37aka5/XtdVEy5s6XSkGqsi7sFyh6QFJa+bSko66b3kkrGmJa9/PX7KPiWlPVtSwwrIBQAAgBIv/xCnL2NT9PDQDrq1b6TTcWq0chVsY8zjkookvXd86Ayb2bOMn22fM53vLmNMjDEmJj09vbRxAQAAaqWvN+zTf77foet7NdXkQa2cjlPjlblgG2PGSbpa0uiSZR/SsZnpZidtFiEppWQ84gzjp+xjjPGSFKRfLUk5zlo73Vobba2NbtSoUVmjAwAA1Bobk7P1xw/XK7p5Az1zfVfWXFeBMhVsY8wwSY9IusZam3vSW19IGlVyZ5CWOnYx4ypr7T5JOcaYfiXrq8dK+vykfcaVvL5B0g8nFXYAAACUkbVWf/18kxrU8dHrY6Lk6+V57p1Qbue8D7YxZp6kwZJCjDHJkqbo2F1DfCV9X/KvoBXW2snW2s3GmPmStujY0pHfWWtdJYe6W8fuSOKvY2u2j6/bniHpXWNMnI7NXI+qmI8GAABQu61OOKj1SVn6x7VdFFLX1+k4tYaprpPF0dHRNiYmxukYAAAAbuvOWau1NjFLSx8ZIn8fZq/Lyhizxlobfb7bV8RdRAAAAOBm4tJytHBrmsb0a065rmIUbAAAgBrorV92y9fLQ2P7N3c6Sq1DwQYAAKhh0nLy9MnavboxOkINWXtd5SjYAAAANcysZQkqLC7WnRdyz2snULABAABqkA3JWZq5NEHDOjdWi5AAp+PUShRsAACAGmJLyiGNmbFKDQJ89LfhnZyOU2tRsAEAAGqAnftzNGbGStXx8dS8if0UHuTvdKRa65wPmgEAAID7stbqh21peuyTjfLwMJo7sZ+aBddxOlatRsEGAACoppbHZ+hf327T2sQstWhYR2+OjVZL1l07joINAABQDWxPzdGULzYpLu2w8ouKVVBUrPyiYjUO9NMz13fVDVER8vZk9a87oGADAAC4sUJXsV7/KV7TftipQD9vDe3SWL5eHvLx9FCz4Dq6ISpCft48qdGdULABAADc1JaUQ3roo1htTjmk4d2b6InhnXhwTDVAwQYAAHAzBUXFeuXHOL36Y5zq1/HR67dFaViXxk7HwnmiYAMAALiRnftzdN+8ddqWmqPrezbV34Z3Uv06Pk7HQilQsAEAANxEYkaubn1rpayVZoyL1iUdw5yOhDKgYAMAALiBtJw8jXl7pQpdxfpwUn+1DavndCSUEfdyAQAAcNihvEKNe3u10g7l6+3be1OuqzlmsAEAAKrA1n2H9MO2NF3UNkRdmwbJGKNCV7EWbErVf3+I064Dh/XWuN7qFdnA6agoJwo2AABABUo7lKf6dXzk4/W/hQJfb9inP364XnmFxfrXt9vVMiRAF7YJ0aKt+5WSnadWIQF6/bYoDWrXyMHkqCgUbAAAgApQUFSs57/ZpreW7FZIXR+N6h2pW/pG6oPVSZq2aKeimjfQcyO7KSYhU1/Epui9lXvUt2VD/ePaLrq4fag8PIzTHwEVxFhrnc5QJtHR0TYmJsbpGAAAAErKzNW989YpNilLN0VHKPNIgRZtS9PxmnVjVISeuq6LfL3+98TFIlexvHi0ebVgjFljrY0+3+2ZwQYAACilxIxcfbUxRWmH8pWanael8QckSa+N7qUruoZLOla658ckKSzQT6P7RsqYU2eoKdc1FwUbAACgFIqLrca9s0q7DxxRPT8vhQX66YLWIXr8qo5qFlznxHbNguvoj5e3dzApnELBBgAAKIUlcQe0+8AR/eem7rq+V4TTceCG+NkEAABAKcxevkcNA3x0Vbdwp6PATVGwAQAAzlPywVz9sG2/RvVpdsoFi8DJKNgAAADnae7KREnSrX2bO5wE7oyCDQAAcB7yi1z6YHWSLukYpqb1/Z2OAzdGwQYAADgPCzamKuNIgcb2Z/YaZ0fBBgAAOIeUrKOasWS3WoYE6ILWIU7HgZvjNn0AAABnkF/k0sylCfq/TamKTcqSJD0/shuPNMc5UbABAADO4LWf4vXSwp3qHhGkh4a219DOjdUmtK7TsVANULABAAB+5WiBS7OWJejSjmF6a1y003FQzbAGGwAA4Fc+XJOkg7mFmjyoldNRUA1RsAEAAE5S5CrW9J93Kap5A0W3CHY6DqohCjYAAMBJ/m9TqpIPHtWkgcxeo2wo2AAAACWstXpjcbxaNwrQpR3DnI6DaoqCDQAAUGJpXIY2pxzSpIGtuR0fyoyCDQAAoGNrr//13XaF1vPViJ5NnI6DaoyCDQAAIGnGkt2KTcrSX67uJF8vT6fjoBqjYAMAgFovPv2w/v39Dl3eKUzDu4U7HQfVHAUbAADUaq5iq4c/2iB/b089dV0XGcPaa5QPT3IEAAC12sxlCVqz56BevLm7Quv5OR0HNQAz2AAAoNb6dnOqnluwTZd0CNW1PZo6HQc1BAUbAADUSvNXJ+nuOWvUuWmg/n1Td5aGoMKwRAQAANQ6byyO1zMLtumitiF6Y0yU6vhQiVBx+GoCAAC1yis/7NQL3+3QVd3C9eJNPeTjxQ/0UbEo2AAAoNZ465ddeuG7HbquZ1O9cGN3efK0RlQC/skGAABqhTkr9uipr7fqyq6N9a8bulGuUWko2AAAoMb7akOK/vLZJg3pEKqXbu4pL08qECoPX10AAKBGyyt06R9fbVH3iCC9OroXa65R6fgKAwAANdr7qxK1/1C+HhnWQX7enk7HQS1AwQYAADVWXqFLr/4Urz4tgtW/dUOn46CWoGADAIAa6/1ViUrLydcDl7XlQTKoMhRsAABQI52YvW4ZrP6tmL1G1aFgAwCAGmleyez1g5e2Y/YaVYqCDQAAapys3AL998d49W3J2mtUPQo2AACocf7+5RZl5Rbor1d3cjoKaiEKNgAAqFEWbtmvT9bt1T0Xt1GXpkFOx0EtRMEGAAA1RlZugR77dKM6hgfq3ovbOB0HtZSX0wEAAAAqypNfbtHBIwWaOb43T2yEY/jKAwAANcKcFXv06bq9+t3FbdS5CUtD4BwKNgAAqPbmr07SXz7bpEs6hOreISwNgbMo2AAAoFr7fP1ePfLJBl3UNkT/Hd1L3p7UGziLr0AAAFBtLdi4T3+YH6u+LYM1fUy0/Lw9nY4EnLtgG2PeNsakGWM2nTQWbIz53hizs+T3Bie995gxJs4Ys90YM/Sk8ShjzMaS96aZkkcqGWN8jTEflIyvNMa0qNiPCAAAaqKFW/brvnnr1KNZfc0Y11v+PpRruIfzmcGeKWnYr8YelbTIWttW0qKS/5YxppOkUZI6l+zzqjHm+Ff7a5LuktS25NfxY06QdNBa20bSi5KeK+uHAQAAtcPPO9J1z3tr1blJoN4Z31sBvtwYDe7jnAXbWvuzpMxfDY+QNKvk9SxJ1540/r61Nt9au1tSnKQ+xphwSYHW2uXWWitp9q/2OX6sjyRdcnx2GwAA4NeWx2do4uwYtQmtq9l39FWgn7fTkYBTlHUNdpi1dp8klfweWjLeVFLSSdsll4w1LXn96/FT9rHWFknKltSwjLkAAEAN9tWGFN3+zio1b1hH707oo6A6lGu4n4q+yPFMM8/2LONn2+f0gxtzlzEmxhgTk56eXsaIAACgurHW6pUfdureuevUtWmQ5k3sp4Z1fZ2OBZxRWQv2/pJlHyr5Pa1kPFlSs5O2i5CUUjIecYbxU/YxxnhJCtLpS1IkSdba6dbaaGttdKNGjcoYHQAAVCdFrmL98cNYvfDdDl3bo4nm3NmXcg23VtaC/YWkcSWvx0n6/KTxUSV3BmmpYxczripZRpJjjOlXsr567K/2OX6sGyT9ULJOGwAAQFMX7dQna/fqgUvb6sWbe3ArPri9c15ya4yZJ2mwpBBjTLKkKZKelTTfGDNBUqKkGyXJWrvZGDNf0hZJRZJ+Z611lRzqbh27I4m/pAUlvyRphqR3jTFxOjZzPapCPhkAAKj2lsUf0Cs/xunGqAg9cGk7p+MA58VU18ni6OhoGxMT43QMAABQSTKPFOiKqT8rwNdLX913oer4cCs+OMMYs8ZaG32+2/MkRwAA4HastXr4o1gdPFKol2/pSblGtULBBgAAbmfOij1auDVNj13ZQZ2bBDkdBygVCjYAAHArqdl5eu6b7bqobYhuH9DC6ThAqVGwAQCAW3nyy80qdBXr6Wu7ioc7ozqiYAMAALexcMt+LdiUqt9f2laRDes4HQcoEwo2AABwC0fyi/S3zzepfVg9TbyoldNxgDLjklwAAOA4a62eWbBVKdl5+vjWnvL2ZA4Q1RcFGwAAOOpogUsPf7xBX8amaMKFLRXVPNjpSEC5ULABAIBj9mUf1V2z12hTSrYeHtZedw9q7XQkoNwo2AAAwBEJB47oxjeWKze/SG+OidalncKcjgRUCAo2AACocgePFGj8zNUqchXrk3suUPvG9ZyOBFQYCjYAAKhSeYUu3fVujPZmHdXcO/tSrlHjcIkuAACoMsXFVg99tEGrEw7qPzd1V3QLLmhEzUPBBgAAVcJVbPWXzzfpy9gUPXpFB13drYnTkYBKwRIRAABQ6fIKXXrwg/VasClV9wxurUkDeZAMai4KNgAAqFQ5eYWaODtGK3Zl6q9Xd9KEC1s6HQmoVBRsAABQaay1mjxnjWISDuqlm3vo2p5NnY4EVDrWYAMAgErz7eb9WhqXob8N70S5Rq1BwQYAAJWioKhYzy7YqrahdXVrn0in4wBVhoINAAAqxbsr9ighI1d/vqqjvDypHKg9+GoHAAAVLiu3QNMW7dRFbUM0uF0jp+MAVYqCDQAAKtzURTuVk1eox6/qKGOM03GAKsVdRAAAQIVxFVu9vjhes5fv0c29m6lD40CnIwFVjoINAAAqRFJmrv4wf71WJxzUVd3C9ecrOzodCXAEBRsAAJSLtVafrd+rv322WVbSf27qrut6NmVpCGotCjYAACiz7NxCPf7ZRn21YZ96t2ig/9zUQ82C6zgdC3AUBRsAAJTJyl0ZeuCD9UrPyddDQ9tr8qDW8vRg1hqgYAMAgFJ7f1Wi/vLZJjULrqOP7x6g7s3qOx0JcBsUbAAAcABpY08AACAASURBVN5cxVbPfbNN03/epYvahui/o3sp0M/b6ViAW6FgAwCAs7LWKj79sGISDuqrDfu0JO6AxvRrrinDO/GERuAMKNgAAOAUha5irUvMUsyeTK1JOKg1iQeVlVsoSQoO8NGT13TW2P7NuUsI8Bso2AAA4ISjBS6Ne3uVViVkSpJaNQrQ5Z3CFN08WFEtGqhVSADFGjgHCjYAAJAkFbmKdd+8tVq9J1P/GNFZV3YNV8O6vk7HAqodCjYAAJC1Vn/+dKMWbk3TP0Z01pj+LZyOBFRbFGwAAGq543cGmR+TrPuHtKFcA+VEwQYAoBbbuu+QHv1ko2KTsnRr30g9eFk7pyMB1R4FGwCAWqjQVawXv9+h6T/vUpC/t6aO6qFrujfhAkagAlCwAQCohZ5dsE0zluzWyF4R+stVHdUgwMfpSECNQcEGAKCW+XZzqmYs2a1x/ZvryRFdnI4D1Dg8fgkAgFokKTNXD30Yq24RQfrzVR2djgPUSBRsAABqiYKiYt07d62spFdu6SVfL0+nIwE1EktEAACoBYpcxXr04w2KTc7W67dFKbJhHacjATUWBRsAgBouv8ilB95frwWbUvWHy9ppWJfGTkcCajQKNgAANVhuQZEmvbtGv+w8oL9e3UkTLmzpdCSgxqNgAwBQQ+UXuXT7O6sVk5Cp52/oppuimzkdCagVKNgAANRQT365Rat2Z2rqqB4a0aOp03GAWoO7iAAAUAPNW5WouSsTdc/g1pRroIpRsAEAqGHWJh7UlM83a2C7Rvrj5e2djgPUOiwRAQCghrDWamlchv744Xo1DvLTtFE95OlhnI4F1DoUbAAAqjlrrZbEHdDUhTsVs+egwoP8NH1slOrX8XE6GlArUbABAKjG4tJyNOWLzVoal6HwID/9Y0Rn3dS7GU9pBBxEwQYAoBo6kl+kaT/s1IxfdquOj6eeGN5Jt/SNpFgDboCCDQBANVBQVKx3V+zRhuQsbU/N0a70IypwFevGqAg9ckUHhdT1dToigBIUbAAA3FxeoUt3z1mjH7enq0mQn9o3rqdB7RtpaOfG6hXZwOl4AH6Fgg0AgBvLLSjSxNkxWhafoX9e11W39o10OhKAc6BgAwDgpnLyCnXHzNVas+egXrihu0ZGRTgdCcB5oGADAOCGsnILNO7tVdqcckgv39JLV3ULdzoSgPNEwQYAwM1kHM7XbTNWKT7tsF67LUqXdQpzOhKAUqBgAwDgRtIO5enWt1Yq+WCu3hoXrYHtGjkdCUApUbABAHATKVlHdeubK5Sek6+Z4/uoX6uGTkcCUAYUbAAA3EBSZq5ufWuFso4UavaEvopqzu33gOqKgg0AgMP2ZBzRrW+uVE5eoebc2Vfdm9V3OhKAcqBgAwDgoF3ph3XrmyuVX+TS3In91KVpkNORAJQTBRsAAIfEpeXoljdXqrjYat5d/dShcaDTkQBUAA+nAwAAUBttSz2km99YIUl6n3IN1CjlKtjGmAeNMZuNMZuMMfOMMX7GmGBjzPfGmJ0lvzc4afvHjDFxxpjtxpihJ41HGWM2lrw3zRhjypMLAICKdLTApWXxB/TLznT9sjNdy+IO6GiBq0zHOpxfpA9jknTL9BXy9vTQB3f1U9uwehWcGICTyrxExBjTVNL9kjpZa48aY+ZLGiWpk6RF1tpnjTGPSnpU0iPGmE4l73eW1ETSQmNMO2utS9Jrku6StELS/0kaJmlBOT4XAADlUuQq1pK4A/pifYq+3ZyqI78q1G1D6+r1MVFq3ajueR3rl7gD+nTtXn23JVV5hcVqE1pXM8ZFq3nDgMr6CAAcUt412F6S/I0xhZLqSEqR9JikwSXvz5L0k6RHJI2Q9L61Nl/SbmNMnKQ+xpgESYHW2uWSZIyZLelaUbABAA7JPlqoibNitCohU4F+XhrevYmGdmmser7H/trcl52nKV9s1ohXlurfN3XX0M6Nz3icLSmH9NGaZH0Rm6IDh/MV5O+tkb0idH2vpuoV2UD8wBaomcpcsK21e40xL0hKlHRU0nfW2u+MMWHW2n0l2+wzxoSW7NJUx2aoj0suGSssef3rcQAAqlxaTp7Gvb1acWk5evb6rrquV1P5enmetl2v5g1095w1mvTuGo3r31wTB7ZSRIM6kqT0nHw9s2CrPlm7V96eRkM6hOq6nhG6uEOjMx4LQM1SniUiDXRsVrqlpCxJHxpjbjvbLmcYs2cZP9M579KxpSSKjIwsVV4AAM4lKTNXt81YqbRD+ZoxrvdZH1PetL6/5k/qr6e+3qI5KxP17oo9urxTY3VuEqjpP+9SXpFLdw9urUkDW6l+HZ8q/BQAnFaeJSKXStptrU2XJGPMJ5IGSNpvjAkvmb0Ol5RWsn2ypGYn7R+hY0tKkkte/3r8NNba6ZKmS1J0dPQZSzgAAOcrr9ClT9ft1YbkLG1OOaRtqTny9/bUexP7qlfkuZ+k6Oftqaeu7aq7B7fRnBV7NG9Vor7ZnKqL2oboiWs6n9f6bAA1T3kKdqKkfsaYOjq2ROQSSTGSjkgaJ+nZkt8/L9n+C0lzjTH/0bGLHNtKWmWtdRljcowx/SStlDRW0svlyAUAwDlt2putBz5Yr7i0wwry91aXpoG6fUAL3dy7WamLcdP6/npkWAf9/pK2SsrMVZvQuqyvBmqx8qzBXmmM+UjSWklFktbp2OxyXUnzjTETdKyE31iy/eaSO41sKdn+dyV3EJGkuyXNlOSvYxc3coEjAKBSFLmK9frieL20cKdC6vpq1h19NLBtSIUUYj9vT265B0DG2uq50iI6OtrGxMQ4HQMAUI1sT83Rwx9vUGxSloZ3b6KnRnRRUB1vp2MBcHPGmDXW2ujz3Z5HpQMAaryComK9+lOc/vtjnOr5eevlW3pqePcmTscCUENRsAEANVpSZq4mvbtGW/Yd0ogeTTRleGcFB3BXDwCVh4INAKixlsUd0O/mrpWr2OrNsdG6rFOY05EA1AIUbABAjWOt1cxlCXrq661qFRKgN8dGq0UIjyQHUDUo2ACAGmf6z7v0zIJtuqxTmF68uYfq+vLXHYCqw3ccAECN8kVsip5ZsE1XdwvXtFE95eHB/agBVC0PpwMAAFBRVuzK0J/mx6pPy2D9+6bulGsAjmAGGwBQ7VlrtXxXhia/u0aRDevozTHR8vXydDoWgFqKgg0AqLYKior11YYUvb10tzbtPaTwID/NHN+bh8cAcBQFGwBQLWUcztctb67Qjv2H1Sa0rv55XVdd17Op/H2YuQbgLAo2AKDayckr1O3vrNaejFy9fluUhnYOkzGstwbgHijYAIBqJa/QpTtnxWjrvkOaPjZKQzrw8BgA7oWCDQCoNtIO5enRTzZqVUKmXrq5B+UagFuiYAMA3N66xIOauSxBX2/YJ5e1+seILhrRo6nTsQDgjCjYAAC39vKinfr39ztUz9dL4wa00Nj+zdW8IY89B+C+KNgAALe1OiFTLy7coeHdm+jZ67sqgEeeA6gGeJIjAMAtZR8t1APvr1dEgzp6hnINoBrhuxUAwO1Ya/XXzzYp9VCePprcX3Up1wCqEWawAQBu58M1yfoiNkUPXNJWPSMbOB0HAEqFKQEAgNvIK3Tp+W+26+2lu9W3ZbDuubiN05EAoNQo2AAAt7Al5ZAe+GCdduw/rNsHtNCjV3SQpwdPZwRQ/VCwAQCO+3z9Xj304QYF1fHWzPG9Nbh9qNORAKDMKNgAAMdYazV10U69tHCn+rYM1mu3RSk4wMfpWABQLhRsAIAjcguK9NgnG/X5+hSN7BWhZ67vKh8vrr0HUP1RsAEAVWpf9lHNWrZH81YlKvtooR4a2l73DG4tY1hvDaBmoGADACqdq9hqSdwBzY9J0rebUlVsrYZ2bqw7L2qlqObchg9AzULBBgBUmvwil6Yv3qV5qxKVkp2n+nW8NW5AC90+oIWaBddxOh4AVAoKNgCgUiRl5ureuWsVm5ytge0a6fGrOunSTqHy9fJ0OhoAVCoKNgCgwn2/Zb/+OH+9rJVev62XhnUJdzoSAFQZCjYAoELEpx/Wd5v369vNqVqflKXOTQL16uheat4wwOloAFClKNgAgHJJz8nXHz+M1c870iVJXZsG6ZFhHTT+ghby82Y5CIDah4INACizZXEH9PsP1uvQ0UI9MqyDRvRooib1/Z2OBQCOomADAEotr9Cl//4Yp1d+jFOrkAC9O6GPOjQOdDoWALgFCjYA4LxZa/Xdlv16+uutSszM1Q1REfr7iM6q48NfJwBwHN8RAQDn5cDhfD34wXr9svOA2oXV1Xt39tUFbUKcjgUAboeCDQA4p7xCl+6cFaNtqYc0ZXgn3davubw9PZyOBQBuiYINADgra63+9GGs1idl6fXbojSsS2OnIwGAW2P6AQBwVi8t3KmvNuzTI8M6UK4B4Dwwgw0AOKPiYqtZyxM0ddFO3RgVocmDWjkdCQCqBQo2AOA0cWmH9edPN2rV7kxd3L6Rnr6uq4wxTscCgGqBgg0AOKHIVazXF8dr2qI4+Xl76LmRXXVTdDPKNQCUAgUbACBJSjhwRA/OX691iVm6qmu4plzTSaH1/JyOBQDVDgUbAGo5a63mxyTpyS+3yNPDaOqoHhrRo6nTsQCg2qJgA0AttnN/jv72+WYt35Wh/q0a6t83dVeT+v5OxwKAao2CDQC10JH8Ik1dtFNvL9mtAF8v/ePaLhrdJ1IeHqy1BoDyomADQC2zNvGgHnh/vRIzczWqdzM9PKyDggN8nI4FADUGBRsAaokiV7H++2O8pv2wU40D/TR/Un/1aRnsdCwAqHEo2ABQCxQUFeuOmau1JO6Aru3RRH+/tosC/bydjgUANRIFGwBqgSe+3KwlcQf0zPVddUufSKfjAECN5uF0AABA5Xpv5R7NXZmouwe3plwDQBWgYANADRaTkKknvtisQe0a6U+Xt3c6DgDUChRsAKih9h/K0+Q5a9W0vr+mjeopT27BBwBVgjXYAFADuYqtHvxgvY7kF2nuxL4KqsMFjQBQVSjYAFADvb44XsviM/T8yG5qF1bP6TgAUKuwRAQAapg1ezL1n+93aHj3JroxOsLpOABQ61CwAaAGyc4t1P3z1qtpfX89fV0XGcO6awCoaiwRAYAawlqrP3+2UfsP5emjuwfwIBkAcAgz2ABQQ3y2fq++3rBPD17WTj2a1Xc6DgDUWhRsAKgBkg/m6m+fbVbvFg00eVBrp+MAQK1GwQaAas5VbPWH+bGykv5zUw/udw0ADmMNNgBUc2/+skurdmfqhRu7q1lwHafjAECtxww2AFRjaxMP6oVvt+vKro01sldTp+MAAETBBoBqKyu3QPfNXafGQX565vpu3JIPANwES0QAoBqy1upPH25QWk6ePpo8QEH+3JIPANwFM9gAUA3NWLJbC7fu15+v7Kju3JIPANxKuQq2Maa+MeYjY8w2Y8xWY0x/Y0ywMeZ7Y8zOkt8bnLT9Y8aYOGPMdmPM0JPGo4wxG0vem2b4OScA/KZNe7P17IJtGto5TLcPaOF0HADAr5R3BnuqpG+stR0kdZe0VdKjkhZZa9tKWlTy3zLGdJI0SlJnScMkvWqM8Sw5zmuS7pLUtuTXsHLmAgBH5Re5FJOQKWtthR/3Tx/GKjjAR8+NZN01ALijMhdsY0ygpIGSZkiStbbAWpslaYSkWSWbzZJ0bcnrEZLet9bmW2t3S4qT1McYEy4p0Fq73B77m2j2SfsAgFtbsvOA4tMPnzK2/1CeRk1foRteX64HP1ivvEJXhZ3v5UVx2paao2dHdlX9Oj4VdlwAQMUpz0WOrSSlS3rHGNNd0hpJv5cUZq3dJ0nW2n3GmNCS7ZtKWnHS/sklY4Ulr389DgBu7cftaRr/zmp5ehjdGBWhBy5tp5Tso5r87hodzi/STdERmh+TrD2ZuZo+JlqN6vmW63yxSVl6bXG8boyK0JAOYRX0KQAAFa08BdtLUi9J91lrVxpjpqpkOchvONPPMe1Zxk8/gDF36dhSEkVGRpYuLQBUoLRDefrT/Fh1aFxP/Vo11Hsr9+jTdXtlrdQ4yE/vTuir9o3raXD7UP1h/npd+9+lmjm+t9qG1SvT+fIKjy0NCa3nq79c3amCPw0AoCKVZw12sqRka+3Kkv/+SMcK9/6SZR8q+T3tpO2bnbR/hKSUkvGIM4yfxlo73Vobba2NbtSoUTmiA0DZuYqtHvhgvXILXHrl1p564prO+uGPgzW8exNd2ilUX9x7gdo3Plakr+warg8nDVCBq1i3zVippMzcUp/vUF6h7nlvrXamHdazI7txSz4AcHNlLtjW2lRJScaY9iVDl0jaIukLSeNKxsZJ+rzk9ReSRhljfI0xLXXsYsZVJctJcowx/UruHjL2pH0AoNJkHy3U8vgMvfXLLv3+/XUa+doybUs9dM79Xl8cr2XxGXryms5qE3qsSDcLrqMXbuyuV0dHnbY2umtEkOZM6KujBS6NmbFSBw7nn3jPWqtDeYW/ea5d6Yd13X+X6ucd6Xrq2i4a1I7JBQBwd6Y8V7gbY3pIekuSj6RdksbrWGmfLylSUqKkG621mSXbPy7pDklFkh6w1i4oGY+WNFOSv6QFOrbs5KzBoqOjbUxMTJmzA6h9cguK9PHavVoRn6FNKdnak/G/2eTwID8dyS9So3q++uLeCxXge+YVdCt2ZWj0Wyt1VddwTR3Vo1R38VizJ1Oj31qp1o3q6tnru+n7rfv1xfq9SsjIVauQAPVt1VD9WgXL18tDh/Ndyjicr1d+jJO3p4deHd1L/Vo1LPf/AwBA6Rlj1lhro897+4q+hVRVoWADOF8HjxRo1vIEzVqWoIO5hWoW7K+uTYPUuUmQujQNUucmgQqp66tl8Qc0+q2Vur5nhP59U/fTjpNw4IiufXWpGgb46LPfXaB6fqVfqvHj9jRNnBWjomIrY6T+rRqqT8tgbUjO1qrdmTqcX3TK9p2bBOr126LULLhOWT8+AKCcSluweVQ6gBphzZ5MLY3L0L7sPO0/lKf0nHwdyivUoaOFOpRXJFex1aUdQzV5UGtFtwg+4zEGtA7RfUPaatqinRrQuqFGRv3v8pDso4WaMGu1jKS3b+9dpnItSRe3D9Vb46K1K/2IruoWrrBAvxPvFbmKtWP/sVv+1fX1UoCvpxrU8ZGHB/e6BoDqhIINoFqz1mrmsgT946stKrZSwwAfhQX6KTTQV60aBSjQz1v163jr6m5NTlx4eDa/v6StVu7K0F8/36QAX0+1blRXYUF+unfuWiVm5mrOhL5q3jCgXJkHtw/V4Panj3t5eqhTk8ByHRsA4DwKNoBqq9BVrCe/3Kw5KxJ1eacw/fum7mWeWT7O08No6qieuvrlJZo8Z+0p7/3rhm7qyzpoAMA5ULABVEup2Xn604exWhJ3QJMGtdIjQztU2FKKxkF++uFPg7QjNUd7s45qb9ZRRQbX0dXdmlTI8QEANRsFG0C14iq2mr08Qf/+bocKXcV6bmRX3dy74h88FejnregWwTrvK1oAAChBwQZQbSQfzNXdc9Zq495sDWzXSP8Y0bnc66EBAKhoFGwA1cZ/vt+huLTDevmWnrq6W3ip7kENAEBVKc+j0gGgymQeKdBXG/ZpZFRTDe/ehHINAHBbFGwA1cL8mCQVFBVrbP8WTkcBAOCsKNgA3J6r2GrOij3q2zJY7cLOfS9rAACcRMEG4PYW70hT8sGjzF4DAKoFCjYAtzd7+R6F1vPV5Z3DnI4CAMA5UbABuLU9GUe0eEe6bukTKW9PvmUBANwft+kD4HastdqXnacNyVn6YHWSPI3RrX0r/mEyAABUBgo2AMd9sDpRT3+9VUXFVp7GyEo6nF8kSfLyMJo4sJXCAv2cDQkAwHmiYANw1JexKXr0k42Kbt5APZrVl6tYKrZWLUMC1C0iSB3DA+Xn7el0TAAAzhsFG4BjftyWpgc/WK/ezYM1644+8vehSAMAqj+uGALgiJW7MjR5zhp1CK+nt26PplwDAGoMCjaAKheXdlgTZ8coooG/Zo3vo0A/b6cjAQBQYSjYAKpUxuF8jZ+5Sj5eHpo5vo8a1vV1OhIAABWKNdgAqkxeoUsTZ8co7VC+PpjUX82C6zgdCQCACkfBBlAlcguK9IcPYrUuKUuv3tpLPZrVdzoSAACVgoINoNKtTsjUQx/GKiEjV3+9upOu6BrudCQAACoNBRtApcnOLdTLP+zUjKW7FdHAX/Mm9lP/1g2djgUAQKWiYAOocJv2Zuvd5Xv0eexe5RUWa0y/5nr0ig4K8OVbDgCg5uNvOwDlllfoUkzCQS3ekabFO9K1Y/9h+Xt76rqeTTWmXwt1ahLodEQAAKoMBRtAme3JOKLZy/dofkyScvKK5OPpoT4tg3Vrn0hd1ytCQf7c3xoAUPtQsAGU2oHD+Xr04w1atC1NnsZoWJfGuq5nU/Vv3VB1fPi2AgCo3fibEECpFLqKdc+ctdqwN0v3DWmr0X0jFRbo53QsAADcBgUbQKk8/fVWrUrI1NRRPTSiR1On4wAA4HZ4VDqA8/bpumTNXJagCRe2pFwDAPAbKNgAzsv6pCw9+vFG9W0ZrEev6OB0HAAA3BYFG6jG0nPyNWPJbq1NPFhp57DW6p2lu3XTG8sVUtdX/x3dS96efOsAAOC3sAYbcHPZuYV6adEOpWbnaVC7Rrq4Q6j8vDz1xs/xemdpgo4WuiRJF7RpqHsvbquekfWVlJmrhIxcWWs1pEOovMpYiNNz8vXQR7H6aXu6hnQI1fM3dFNIXd+K/HgAANQ4FGzATVlr9eWGffr7l1t0MLdAIXV9tGBTqiTJ18tD+UXFGt69iSYNbKXl8Rma/ssu3fLmitOO0za0rh4e1kGXdgyVMea8z7913yHd/s4qZeUW6u8jOmtMv+al2h8AgNrKWGudzlAm0dHRNiYmxukYQKXIL3Lpd++t1cKtaeoWEaR/XtdVnZsEaltqjn7Ylqbkg0c1pl/zU56QmFfo0idr9yotJ08tQwIUGVxH+7Lz9MK327XrwBFFN2+gK7uGq0dkfXUKD5Sft+dvnn/lrgzdOTtGAT5eemd8b3UM50mMAIDayxizxlobfd7bU7AB9/PEF5s1c1mC/nxlB024sJU8Pco+c1zoKtb8mCS99lO8kg8elSR5expd0SVcU4Z3UsNfLfn4ZlOq7n9/nZo18NfsCX3VtL5/uT4LAADVXWkLNktEADfz/Zb9mrksQbcPaKG7BrYu9/G8PT00um9zje7bXKnZeVqflKWVuzP03opELYk7oCeu6ayruobrx21pmrNyjxbvSFf3iPp65/beahDgUwGfCACA2oUZbMCNpGQd1ZXTflFEA399fPcA+Xr99jKO8tqxP0cPfbRBsUlZCvL3VvbRQoXW89WoPpGaPKgVjzwHAKAEM9hANVXkKtb989apsKhYL9/Sq1LLtSS1C6unjyf318xlCVqXmKXh3cN1SccwbsEHAEA5UbABN3C0wKUHPlinmD0HNXVUD7UMCaiS83p5eujOi1pVybkAAKgtKNiAw9Jy8nTnrBht2putKcM78QhyAACqOQo24KBNe7M16d01yjxSoOljonVppzCnIwEAgHKiYAMO2JySrZcXxembzakKreerDyf3V5emQU7HAgAAFYCCDVShgqJi/fHDWH0Zm6J6fl66/5K2mnBBSwXV8XY6GgAAqCAUbKCKWGv1+Kcb9WVsiu4b0kZ3XtRKQf4UawAAahoKNlBF3vxllz5ck6zfX9JWD17Wzuk4/9/enUdJWd/5Hn9/m4ZuaGi0WRtlDwKigAbRq0aJ3qgjRmbGY1ySTObGHE/Uicnc5GZijpO5mcy9iZkxN+JJJmOccUzcYtTMqBNjXOK+IIvKvm/N1uxgNzS9/O4f9RhbFKShoLqL9+ucOvXUr56nzq/g09WffuqppyRJ0mHiCW+lI+CpeRv4/hMLmHxyNV89f0ShpyNJkg4jC7Z0mM1YuZWvPjCLkwb05J8uH0dJSRR6SpIk6TCyYEuH0e/nrufqn79Gnx5l/PwvJtC1y+H9dkZJklR4FmzpMPnlayv58j0zGNW/Bw9fdyb9e5YXekqSJOkI8EOOUh40Nbfw4pJNzFu7g5Wb61i2sY7pK7dy/qi+3H71KXTr4o+aJElHC3/rS4dgxaY6Hpy+modm1FC7swGA3t3LGNyrGzee9zFuPH8EpZ18o0iSpKOJBVtqg6bmFl5eupkXFm3khUUbWVz7DiUBnxzZlytOG8hZH+tNRZk/VpIkHc1sAtIBSilxw30zeXLuBrqUljBxSBWXTzieS8cd5/HVkiTpjyzY0gH6+YvLeHLuBr7+qRP40ieGeUYQSZL0oTw4VNrLys11/PvLy1mxqe6PY2+s2MItv1vIxSf356/O+5jlWpIk7ZN7sFWU6vc08dLiTTwzv5blm+oYc1wlpw46llMGHUP/yvL3ffAwpUT9nmbeWLGFX7y6kj8srCUl6PRf87ns1OO4auIgbrh3JoOqunHLZWOJ8ItiJEnSvlmw1eGllHh2QS1z1+5g5eZ6Vm2p462a7expaqFHWSnD+3bn/mmruOvlFX/cprK8lGMrutDUnNhc18DuxhYA+vQo48bzRnDhmP48NKOGe15fyYPTaygrLeHuL06kR3nnAj1LSZLUUViw1aFtq9/D/3robZ6atwGAfpVlDK6q4LOnD+K/j+7HaUOq6FJaQmNzC/PX7eDtmu1s3NnAtvo9bK1vpLRT0Lt7Gb0qujC4VwXnjepLl9Lc3u3vDDiRa88Zxl2vLGfC4CpGV1cW8qlKkqQOIlJKhZ7DQZkwYUKaPn16oaehApq2fAtfe2AWG99p4G8uGsVnTx/ssdGSJCnvImJGSmnCga7vHmx1GKs21/P68s3MXrOd2Wu289bqbQys6sYj153Fycf3LPT0JEmSAAu22rlFG3by+Ftr+f28DSxYvxOAii6dGHNcT66bNJwvnzvc46IlDnhhMwAAD/tJREFUSVK7YsFWu9TSkvjpc0u49alFBDBhSBU3Tx7NuSf0YVif7nQq8UwekiSpfbJgq93ZVr+Hv/7Vm/xh4UYuHTeA73z6RHp3Lyv0tCRJkg7IIX/RTER0iohZEfF4drsqIp6KiMXZ9bGt1r0pIpZExMKIuLDV+McjYnZ239TwRMNHrQXrdzB56ku8tGQT35syhtuuHG+5liRJHUo+vsnxq8D8Vre/BTyTUhoBPJPdJiJOBK4ExgAXAT+NiHdP+fDPwLXAiOxyUR7mpQ7mjRVb+MzPXqWppYVff/lMPv/fhvilLpIkqcM5pIIdEccDk4E7Ww1PAe7Olu8G/rTV+AMppYaU0nJgCTAxIqqBypTSqyl3zsBftNpGR4mn523gc3e+Tu8eZTxy/VmMH3hMoackSZJ0UA71GOwfA98EerQa65dSWgeQUloXEX2z8eOA11qtV5ONNWbLe49/QERcS25PN4MGDTrEqas9WL6pjt/MrOEnzy3lpAGV3PU/JlJV0aXQ05IkSTpoB12wI+ISoDalNCMiJh3IJh8ylvYz/sHBlO4A7oDcF80c4FTVztRsrefxt9fx+NtrmbNmBwAXjunHrZ8ZT/cyP3crSZI6tkNpM2cBl0bExUA5UBkR9wAbIqI623tdDdRm69cAA1ttfzywNhs//kPG1cEtqd3J3LU7aEmJ5hbYUtfAE3PWM2vVNgDGDTyGmyePZvLYaqp7di3wbCVJkvLjoAt2Sukm4CaAbA/2N1JKn4uIfwS+APwgu/7PbJNHgfsi4kfAAHIfZpyWUmqOiJ0RcQbwOvAXwO0HOy8V1qZ3GnjsrbU8MnMNs9ds/8D9o6sr+eZFI7nk5AEM6tWtADOUJEk6vA7H+/E/AB6MiGuAVcDlACmluRHxIDAPaAJuSCk1Z9tcB/w70BV4Iruog9jd2MzT8zfwyMw1PL9oI80tiZOOq+RvLzmRc0b0pnOnEkoiKO9cQt/K8kJPV5Ik6bCK3Ik7Op4JEyak6dOnF3oaR60123bxwqKNvLBoIy8t3sTOhiaqe5YzZfxx/Pmpx3FCvx4f/SCSJEkdQETMSClNOND1/USZDsijb63l+YUbWbG5jpWb69j0zh4AqnuWc8m4ai4ZO4AzhvXyK8wlSdJRz4Ktj/Qvzy/l+08soHf3Mob3qeD8Uf0Y0a87557Qh4/17e6XwUiSJLViwdZ+/ez5pfzgiQVcMraaH18xntJO+fjyT0mSpOJlwdY+/fNzS7nldwv49LgB/L/PjLNcS5IkHQAbkz6U5VqSJOnguAdbH/DT55bww98t5NJxA/iR5VqSJKlNbE56n3fL9ZTxlmtJkqSD4R5sAdDckrj19wv56XNLmTJ+ALdebrmWJEk6GBZssWN3I1974E2eXVDLVRMH8r0pJ1muJUmSDpIF+yi3pHYn1/5iBqu21PO9KWP43BmDPa+1JEnSIbBgH6U27mzg9mcXc/+0VVSWd+beL53O6cN6FXpakiRJHZ4F+yjT1NzC1GeXcOeLy2hoauGK0wbytfNH0LeyvNBTkyRJKgoW7KPI7sZmvnL/LJ6at4HJY6v5xgUjGdq7otDTkiRJKioW7KNEXUMT1/5yOi8v2cx3Lx3DF84cUugpSZIkFSULdpFKKbG1vpH123ezYcdupj67mLdrtnPr5eO47OPHF3p6kiRJRcuCXWRaWhKPz17HbU8vYunGuj+Odykt4SdXn8pFJ/Uv4OwkSZKKnwW7SDS3JJ6cu57bnl7Mwg07GdmvBzdPHs2AY7rSr7Kcob0rqKroUuhpSpIkFT0Ldge3rX4Pv3pjNb94dSVrtu1ieJ8Kbr/qFCafXE1JieezliRJOtIs2B1USol7XlvJ//ntfHY3tnD60Cr+9pLRfOrE/nSyWEuSJBWMBbsD2tPUwt89Oof7p61m0sg+/M1FoxhdXVnoaUmSJAkLdoezbvsubrx/Fm+s2Mr1k4bz9QtGusdakiSpHbFgdwAzV23lqXkbeGHRRuau3UF55xKmXnUKl44bUOipSZIkaS8W7HZs+65G/uHxefx6Rg2lJcGpg4/lGxecwMUnVzOsT/dCT0+SJEkfwoLdTv1hYS03PTyb2p27uX7ScK6bNJwe5Z0LPS1JkiR9BAt2O9LSknhuUS13vricV5ZuZkTf7vzL589i3MBjCj01SZIkHSALdjuwa08zj8yq4V9fWs6yjXVU9yznpj8ZxV+eNYSy0k6Fnp4kSZLawIJdIHuaWli/fTe/nrGae15bydb6RsYe35PbrhzPxSdX07lTSaGnKEmSpINgwT4CGptbeH3ZFp6cu56Xl25i444GdjY0ARABnxrdjy99YhinDTmWCE+5J0mS1JFZsA+TlBLTV27l4Rk1PDFnPdt3NVLeuYSzhvfmnBF96N29C1UVZZw5vBdDelcUerqSJEnKEwt2nu1ubObuV1Zw37RVrNxcT7cunbhwTH8uOqk/54zoQ9cuHlMtSZJUzCzYefTsgg1897F5rNxczxnDqrjxvBFcdFJ/Ksr8Z5YkSTpa2PzyYM22XXznP+bwzIJahvep4J5rTufsEb0LPS1JkiQVgAX7EKSUuG/aKr7/2wW0pMS3Lx7FX545lC6lngFEkiTpaGXBPkjLN9Vx83/M5uUlmzlzeC9uuWwsA6u6FXpakiRJKjALdhut2baLqU8v5qGZNZSXlvB//+xkrpo40NPrSZIkCbBgH7Dt9Y38+JlF3PvaKgA+f8Zgrv/kcPr2KC/wzCRJktSeHBUFO6XEQzNq+M2sNVT37MqwPhUMqupGS0rUNTRT19DEkN4VfHJkH0r3+gbF5pbEg9NX849PLmRb/R6uOG0gXzlvBAOO6VqgZyNJkqT2rOgL9uZ3Gvj2b2bz5NwNDO1dwbKNdTw8s+ZD1+1XWcYVpw1i0sg+LN9Yx/x1O3hpySYWrN/JxKFV/O9Pj+HEAZVH+BlIkiSpI+nwBbupuYXZa7ZTEkF5506UlZawtX4P67fvZvXWeu54YTk7djXy7YtHcc3Zw+hUEtQ1NFGzdRedSoLuZaV07dKJ15dt5r5pq7j92cVMfWYxAGWlJYyurmTqVafw6bHVHmctSZKkj9ShC3btjt185f5ZvL58yz7XGV1dyS+vmcjo6vf2PFeUlTKyf4/3rXfBmP5cMKY/q7fUM2fNdkb0686QXhUfOGREkiRJ2p8OW7DrGpq4eOpLvNPQyHcvHcPxx3Zld2MLDU3NHNOtM/0qy6nu2ZVju3Vu057ngVXdPN2eJEmSDlqHLdjLNtVxdtdS7v3S6R/YGy1JkiQVSoct2Md07cyjf3U2FWUd9ilIkiSpCHXYA4wHVnWzXEuSJKnd6bAFW5IkSWqPLNiSJElSHlmwJUmSpDyyYEuSJEl5ZMGWJEmS8siCLUmSJOWRBVuSJEnKIwu2JEmSlEcWbEmSJCmPLNiSJElSHlmwJUmSpDyyYEuSJEl5ZMGWJEmS8siCLUmSJOWRBVuSJEnKIwu2JEmSlEcWbEmSJCmPLNiSJElSHkVKqdBzOCgRsRNYWOh5tAM9ge2FnkQ70RvYVOhJtANmIsc8vMdM5JiJHPOQYx7eYyZy9peJwSmlPgf6QKX5mU9BLEwpTSj0JAotIu5IKV1b6Hm0BxEx3UyYiXeZh/eYiRwzkWMecszDe8xETj4z4SEiHd9jhZ6A2h0zob2ZCbVmHrQ3M5FnFuwOLqXkD4Xex0xob2ZCrZkH7c1M5F9HLth3FHoCanfMhFozD9qbmVBr5kF7y1smOuyHHCVJkqT2qCPvwZYkSZLanXZTsCPi3yKiNiLmtBobFxGvRsTsiHgsIiqz8SERsSsi3swuP2u1zRUR8XZEzI2IHxbiuSg/2pKJ7L6x2X1zs/vLs3EzUSTa+Drx2VavEW9GREtEjM/uMxNFoI156BwRd2fj8yPiplbbmIci0cZMdImIu7LxtyJiUqttzEQRiIiBEfGH7Gd+bkR8NRuvioinImJxdn1sq21uioglEbEwIi5sNd62TKSU2sUFOAc4FZjTauwN4Nxs+YvA97LlIa3Xa7V+L2AV0Ce7fTdwfqGfm5cjkolS4G1gXKssdDITxXVpSyb22u5kYFmrbJiJIri08TXiauCBbLkbsCL7XWIeiujSxkzcANyVLfcFZpDb8WgmiuQCVAOnZss9gEXAicAPgW9l498CbsmWTwTeAsqAocDSg+0S7WYPdkrpBWDLXsMjgRey5aeAyz7iYYYBi1JKG7PbTx/ANmqn2piJC4C3U0pvZdtuTik1YyaKyiG8TlwF3J8tm4ki0cY8JKAiIkqBrsAeYAfmoai0MRMnAs9k29UC24AJmImikVJal1KamS3vBOYDxwFTyJVksus/zZankPtDvCGltBxYAkzkIDLRbgr2PswBLs2WLwcGtrpvaETMiojnI+IT2dgSYFR2CEkpuX+w1tuo49tXJk4AUkQ8GREzI+Kb2biZKH77e5141xW8V7DNRHHbVx4eAuqAdeT2RP1TSmkL5uFosK9MvAVMiYjSiBgKfDy7z0wUoYgYApwCvA70Symtg1wJJ/cOBuTK9+pWm9VkY23ORHsv2F8EboiIGeR27e/JxtcBg1JKpwD/E7gvIipTSluB64BfAS+Sewuw6YjPWofTvjJRCpwNfDa7/rOION9MHBX2lQkAIuJ0oD6lNAfATBS9feVhItAMDCD31u/XI2KYeTgq7CsT/0auQE0Hfgy8AjSZieITEd2Bh4GvpZR27G/VDxlLB5OJdv1V6SmlBeTe+iciTgAmZ+MNQEO2PCMilpLbgzk95U6W/li2zbXkXlBVJPaVCXIvks+nlDZl9/2W3HF4z5iJ4rafTLzrSt7be/3uNmaiSO0nD1cDv0spNQK1EfEyucMBlpmH4rafLtEE/PW760XEK8Di7D4zUSQiojO5cn1vSumRbHhDRFSnlNZFRDVQm43X8P4908cDa6HtmWjXe7Ajom92XQLcDPwsu90nIjply8OAEcCyvbY5FrgeuPPIz1yHy74yATwJjI2IbtnbN+cC8/baxkwUof1k4t2xy4EH9rGNmSgy+8nDKuC8yKkAzgAW7LWNeShC++kS3bIsEBGfIrf32t8bRSQiAvhXYH5K6Uet7noU+EK2/AXgP1uNXxkRZdlhQyOAadljtSkT7WYPdkTcD0wCekdEDfB3QPeIuCFb5RHgrmz5HODvI6KJ3F8QX86OpQO4LSLGZct/n1JadESegPKuLZlIKW2NiB+R+7R4An6bUvqvbD0zUSTa+DoBudeKmpTSsr0eykwUgTbm4SfZ8hxybwPflVJ6O7vPPBSJNmaiL/BkRLQAa4DPt3ooM1EcziL3/zo7It7Mxr4N/AB4MCKuIffH9+UAKaW5EfEguR10TcAN2QkToI2Z8JscJUmSpDxq14eISJIkSR2NBVuSJEnKIwu2JEmSlEcWbEmSJCmPLNiSJElSHlmwJUmSpDyyYEuSJEl5ZMGWJEmS8uj/A78AFwU5O2D1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "dta.realgdp.plot(ax=ax);\n",
    "legend = ax.legend(loc = 'upper left');\n",
    "legend.prop.set_size(20);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Hodrick-Prescott Filter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Hodrick-Prescott filter separates a time-series $y_t$ into a trend $\\tau_t$ and a cyclical component $\\zeta_t$ \n",
    "\n",
    "$$y_t = \\tau_t + \\zeta_t$$\n",
    "\n",
    "The components are determined by minimizing the following quadratic loss function\n",
    "\n",
    "$$\\min_{\\\\{ \\tau_{t}\\\\} }\\sum_{t}^{T}\\zeta_{t}^{2}+\\lambda\\sum_{t=1}^{T}\\left[\\left(\\tau_{t}-\\tau_{t-1}\\right)-\\left(\\tau_{t-1}-\\tau_{t-2}\\right)\\right]^{2}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "gdp_cycle, gdp_trend = sm.tsa.filters.hpfilter(dta.realgdp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "gdp_decomp = dta[['realgdp']].copy()\n",
    "gdp_decomp[\"cycle\"] = gdp_cycle\n",
    "gdp_decomp[\"trend\"] = gdp_trend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "gdp_decomp[[\"realgdp\", \"trend\"]][\"2000-03-31\":].plot(ax=ax, fontsize=16);\n",
    "legend = ax.get_legend()\n",
    "legend.prop.set_size(20);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Baxter-King approximate band-pass filter: Inflation and Unemployment"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Explore the hypothesis that inflation and unemployment are counter-cyclical."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Baxter-King filter is intended to explicitly deal with the periodicity of the business cycle. By applying their band-pass filter to a series, they produce a new series that does not contain fluctuations at higher or lower than those of the business cycle. Specifically, the BK filter takes the form of a symmetric moving average \n",
    "\n",
    "$$y_{t}^{*}=\\sum_{k=-K}^{k=K}a_ky_{t-k}$$\n",
    "\n",
    "where $a_{-k}=a_k$ and $\\sum_{k=-k}^{K}a_k=0$ to eliminate any trend in the series and render it stationary if the series is I(1) or I(2).\n",
    "\n",
    "For completeness, the filter weights are determined as follows\n",
    "\n",
    "$$a_{j} = B_{j}+\\theta\\text{ for }j=0,\\pm1,\\pm2,\\dots,\\pm K$$\n",
    "\n",
    "$$B_{0} = \\frac{\\left(\\omega_{2}-\\omega_{1}\\right)}{\\pi}$$\n",
    "$$B_{j} = \\frac{1}{\\pi j}\\left(\\sin\\left(\\omega_{2}j\\right)-\\sin\\left(\\omega_{1}j\\right)\\right)\\text{ for }j=0,\\pm1,\\pm2,\\dots,\\pm K$$\n",
    "\n",
    "where $\\theta$ is a normalizing constant such that the weights sum to zero.\n",
    "\n",
    "$$\\theta=\\frac{-\\sum_{j=-K^{K}b_{j}}}{2K+1}$$\n",
    "\n",
    "$$\\omega_{1}=\\frac{2\\pi}{P_{H}}$$\n",
    "\n",
    "$$\\omega_{2}=\\frac{2\\pi}{P_{L}}$$\n",
    "\n",
    "$P_L$ and $P_H$ are the periodicity of the low and high cut-off frequencies. Following Burns and Mitchell's work on US business cycles which suggests cycles last from 1.5 to 8 years, we use $P_L=6$ and $P_H=32$ by default."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "bk_cycles = sm.tsa.filters.bkfilter(dta[[\"infl\",\"unemp\"]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* We lose K observations on both ends. It is suggested to use K=12 for quarterly data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XXQR07CgZeCIiIoUYBBO5gbudmWf8jDwFwT16yBcREZFiLIcgsmLdOqBbN+D7730fZwR0RpaTvGvWDBgxAmjZsu73SkqA5ctZVkJERMoxCCay4uBBYNMmoKLC93GpqfLla0MNEsOHA198ATRtWvd7v/0GDB4MLF4c+HkREVFEYzkEkRUFBXLbpInv4xo0YCmECi1ayC1/lkREpBgzwURWGEFwcnJw5xFJrrpKyiE8SU4G4uMZBBMRkXIMgomssBIE33cfcMcd7s4nEuzeLRtmeKJpUl/NmmAiIlKM5RBEVpxwAjBsGNCwof9jN28GMjNdn1LYy84G+vTx/n1umEFERC5gEExkxVVXyZcZaWnA6tXuzicSZGV5bo9mmDbN3EkHERGRBQyCidySliZZzooKIIaVRx4dOyYlJr6C4DPPDNx8iIgoavCTmciKa64Bxowxd2xqqtS65ue7O6dwdvw4cO21QN++3o/59Vfgrbe4axwRESnFIJjIit27gcOHzR2bkQH07AkUF7s7p3CWlAS8/LL37hAA8OGHwJVX8udIRERKMQgmsqKgwH+PYMOFF8oOcyee6O6cwll5uf8ML7egJiIiFzAIJrKioIA9glV64w2gfn1g507vx3DDDCIicgGDYCIrrATB+fnAgAHAvHnuzimcZWcDpaVA8+bej2EmmIiIXMAgmMiKMWOA/v3NHduoEbBqFbB9u7tzCmdZWUC9ekDjxt6PYRBMREQuYIs0IivmzjV/bFycZDgZvHln9AjWNO/HtGoFfPstcPLJgZsXERFFPAbBRG7ibme+ZWdLKzlf4uKAQYMCMx8iIooaLIcgMmvzZtm57KOPzD8mLQ04eNC9OYW7Cy4AJkzwf9yCBcAnn7g+HSIiih7MBBOZlZ8PlJRINwOzBg0CDh1yb07hbvJkc8c99ZT83EePdnc+REQUNRgEE5lVUCC3ZvsEA8Djj7szl0iRlSV107Gxvo9LSwO2bQvMnIiIKCqwHILILCMIZp9gNYqLpQfw00/7P5ZlJUREpBiDYCKz7ATBzzwDdOrkznzCXXa23Bot0HxJSwNycmSHOSIiIgUYBBOZdfLJwKRJQNOm5h9TUiKX8cvK3JtXuDK6ZvjrDgFIEKzrQG6uu3MiIqKowSCYyKyzzwZeeglISDD/mKQkuS0qcmdO4cxKjfX48cDu3b53liMiIrKAQTCRWcePSzbSikaN5LawUP18wl1xsdwaPyNfmjYF2rTxv4COiIjIJAbBRGZNnGi9vpeZYO86dwYeewxIT/d/bEEB8MQTwI8/uj8vIiKKCmyRRmRWQUFVUGtWRgYwdqy13sLRonNn4L77zB1bVibHNmwI9O7t7ryIiCgqMAgmMis/33p7tP79gfffd2c+4S43VzLkbdoAmub72KZNpRSCbdKIiEgRlkMQmVVQYG2jDPLtP/8B2rYFKir8HxsTI4Ewd98jIiJFGAQTmVVQYD0TnJkJpKQAb73lypTCWlGRdNowu9gtObmqowQREZFDLIcgMmvKFOkVbEVCglz2z893Z07hrLhYanzNYhBMREQKMQgmMsvsIq7q2CLNu6Iic+3RDEuWAA0auDcfIiKKKiyHIDKjvFx2OCsttfa4hg1l0ReD4LqKiqxlgps0YZcNIiJShkEwkRm//w60aAHMnWvtcZom2U72Ca5r8mRg6lTzx8+fD/zjH+7Nh4iIogqDYCIzjFpUqwvjAODPfwb69FE7n0hw3nnAlVeaP37ZMmDaNPfmQ0REUYU1wURmGAvb7ATB06ernUuk2LxZNh9p08bc8cnJUlZSXs7tk4mIyDFmgonMMDLBdvsE67q6uUSKiy8G7rnH/PHGz5711UREpACDYCIznJRDjBgBDBmidDoRwerCOONnzzZpRESkAINgIjN69AAeewxo2dL6Y+Pjmb30xE6f4JgY/iyJiEgJ1gQTmdG1q3zZkZTE7hC16br1PsEXXwyUlUnHDSIiIoeYCSYy48ABYM8ee49NSmL2srZjx4CKCmuZ4JgYBsBERKQMg2AiMx58EOjb195j2Se4rpgY4I03gDFjzD8mJweYNAlYvty9eRERUdRgOQSRGQUF9hbFAcDZZ7OlV2316lnrEQxIa7SXXwZ69QLOPNOdeRERUdRgEExkRn6+/SB4zBhrGc9oUFgIrF0LdO8ONGtm7jHsDkFERAqxHILIjIIC+z2CKyqAw4clk0ni558lQ75ypfnHJCQA9eszCCYiIiUYBBOZ4aQc4s035bE7dqidUzgrLpZbK90hAPk5Grv3EREROcByCCIzHnzQfhBsBHrsEFHFWChoNQhu3VoW1RERETnEIJjIjEsvtf/YpCS5ZYeIKkYm2EqLNABYt079XIiIKCo5TqlompagadoqTdN+0jRts6ZpD6mYGFHIqKgAvv8eyM6293hmguuymwkmIiJSRMV1xWMAztF1vQeAngDO0zRtoIJxiUJDQQFw2mnAvHn2Hm9kghkEVxkxAliwAEhNtfa4adOAG290Z05ERBRVHAfBujCu88b/8aU7HZcoZBjdCOzWBLdsCTzwANCli7o5hbs2bYALLpBuD1Zs2AB8/LE7cyIioqiiZIWJpmmxmqatB5AFYJGu6z+oGJcoJBjdCOwGwU2bAg89BPTooW5O4W7jRuCLL6w/jt0hiIhIESVBsK7r5bqu9wSQDqC/pmldax+jadr1mqat0TRtTbbd2kqiYDAywXb7BAPAgQPAoUNq5hMJXnoJuOoq649r0kQW1ZWVqZ8TERFFFaW9hnRdzwewFMB5Hr43S9f1vrqu9021WgdIFExOyyEAICMDePxxNfOJBEVF1jtDAFW/g8OH1c6HiIiijoruEKmapjX5478bABgG4Ben4xKFjD59ZMOL9u3tj5GUxIVx1RUX2+sM0aoV0KEDcPSo+jkREVFUUdEnuBWAVzVNi4UE1e/ouv6JgnGJQsMJJwBXXOFsjKQk9gmuzm4m+LLL5IuIiMghx0GwrusbAPRSMBei0LR1K/D778DZZwOaZm+MRo2YCa7ObhBMRESkCPcfJfJn9mxg1Cj7ATDATHBtM2YAzz1n/XE7dwLnnAMsW6Z+TkREFFW4bTKRPwUFzhbFAcCttwIxPOes1K2bvcfpOvD118CECUqnQ0RE0YdBMJE/+fnOg2DWsdb09ttAu3ZAv37WHmf8HtgrmIiIHGJqisifggJnPYIBICsL+PlnNfOJBFOmAK+9Zv1xRhBstK0jIiKyiUEwkT+FhVLT68SjjwKDBqmZTyQoLra3MC4+HkhMZBBMRESOsRyCyJ/nnnO2KA6oWhin687HCnfHjwOlpfb6BAPAwIEAN9whIiKHGAQT+dO/v/MxGjUCystlk4cGDZyPF86Ki+XWbou0JUvUzYWIiKIWyyGI/Jk/H9iwwdkYRjkFewVXBcF2M8FEREQKMAgm8ueaa4BXXnE2hhEEs1cwkJYmJxUXXWTv8bffDlx5pdo5ERFR1GE5BJEvug6UlDjPWp5+OjBnDtC8uZp5hbN69ez3CQaAffucZ+aJiCjqMQgm8uXIEQmEnW7x26GDfBGwZw/w0UfAJZcArVpZf3xyMrtDEBGRYyyHIPLFKF9wGgSXlAArVwI5Oc7nFO42bgT+8hcJhu1o0oRBMBEROcYgmMgXVYu4duyQPsFLlzqeUthz+jNNTpYM/fHj6uZERERRh+UQRL60agX88APQtq2zcYyAj90hqrLrdoPgk08Gzj0XOHZM6ouJiIhsYBBM5EtCgpo+wWyRVsVpn+BLL5UvIiIiB1gOQeTLb78BL78MZGc7G4ct0qo4zQQTEREpwCCYyJd164BJkyQYdqJePSAujplgALj5ZmD7dqB+fXuPX7tWylOWL1c6LSIiii4shyDyRVV3CE0D3n5b6lmjXePG8mVXbCywezc7bRARkSMMgol8cVq/Wt3Ysc7HiAQLFsiGFzfeaO/xyclym5+vbk5ERBR1WA5B5IvKIPj774FVq5yPE+7efhv497/tP94IgtkrmIiIHGAmmMgXVeUQAHDHHVIGsHCh87HCWVGRs0VxRikFg2AiInKAmWAiX266Cdi0SU0/2kaNuDAOkOy6k5OKuDjg8suBjh3VzYmIiKIOM8FEvjRrJl8qNGoEHDyoZqxwVlTk/Gf61ltq5kJERFGLmWAiXz79FJgzR81YSUnMBAMSBKsoLyEiInKAmWAiX+bOBTZsACZOdD4WyyHEDz8A5eXOxhg9GtB1OUkhIiKygUEwkS9O61eru/VW4Mor1YwVzlTsFFdezj7BRETkCMshiHxReem+c2fgzDPVjBXO/v534MsvnY3RpAm7QxARkSMMgol8KS5Wk7kEgJ07gXnzgKNH1YwXjsrKgKeekp7JTiQnc7MMIiJyhEEwkS8qyyG+/hq4+mogK0vNeOFI1eYjycnMBBMRkSOsCSbyZflyWYClQlKS3Ebz4jgjCHaaXR80SILg8nIgNtb5vIiIKOowCCbypXlzdWMZQbCxC100UrUD34UXyhcREZFNLIcg8uWBB6SMQQUj+xnNmeCSErlV1SGiosL5OEREFJUYBBN5U1YGPPIIsGKFmvGYCQZ69pSf65gxzsb5/HPZPnntWjXzIiKiqMNyCCJvVNWvGjp1AlatAjp2VDNeuFJRw2v8Trg4joiIbGImmMgbVZ0MDImJQL9+0uM2Wq1eDUyZAuzf72wc42eYl+d8TkREFJUYBBN5o2oRl6G8HHjpJWDNGjXjhaOffwZefBE4csTZOCkpcpub63xOREQUlRgEE3mjuhwiJga44QZgwQI144UjVT9To2sHg2AiIrKJNcFE3vTsKdng+Hg142maBH/RvDBOVXa9Xj3grrukvISIiMgGBsFE3miaulIIQ2Ki81KAcGZkghs0cD7Wk086H4OIiKIWyyGIvFm7Frj9duDgQXVjJiZW9cqNRhUVUsoQo+Ct5+hRlkMQEZFtDIKJvNm0CZg2rSp7qUK0B8GPPALk5KgZ66KLgPPPVzMWERFFHZZDEHmjujsEAHz8sQTC5FxKCrBtW7BnQUREYYpBMJE3qrtDAEBGhrqxwtG//iXbRj/6qPOxmjdXl1UmIqKowyCYyBuVi7gMH34IHDoETJyobsxwsnixuvKSlBTg8GGgtFRdBw8iIooarAkm8ubYMSmFULGIyzB3LvDss+rGCzdFReoy6+wVTEREDjAIJvLmn/+UTKNK0b4wrrhYXY316adLeUVCgprxiIgoqrAcgsgXlVlggEFwcbG6THCPHvJFRERkAzPBRN489xzw8MNqx4z2zTKaNgVatlQzVlkZsGOH1FgTERFZxCCYyJvPPpMvlRo0iO5M8Jo1wFNPqRnr4EGgQwfg3XfVjEdERFGFQTCRNyov3RvuvRfYt0/tmNHKWBjHNmlERGQDg2Aib4qK1G6UAQCNG0trr2hUXAyMGAF89JGa8RIS5PfD7hBERGQDg2Aib9zIBK9dC9x3n/quE+GgoAD48ktg/351Y4bYhhlHjqj95xERkXsYBBN506BB1SV3VTZuBJ54Ijqzl4WFcpuUpG7MlJSQ+ln+4x9A+/bA0qXBngkREfnDFmlE3mzcqH7MxES5jcbFcW4EwVOnVv1MQ8CqVZINHjVK1lSedVawZ0RERN4wE0wUSMYWzNHYJs2NIPjii6XOOAToupw3jR0LnHQSMHIksGxZsGdFRETeMAgm8uToUeCii9Qt4jJEcyY4NhY45RSgWTN1Y+7fD3z3nbrxHNi7F8jPB4YNA776CmjTRgLhb78N9syIiMgTBsFEnhQWAgsWALt3qx03moPgwYOBn38GundXN+asWbJ9clmZujFtMqpnunWT/UC+/lr2Bnn00eDOi4iIPGNNMJEnxcVyq7o7RL9+EgAnJKgdN1oZ7eby8oC0tKBOZcMGue3aVW5btpT4/McfgzcnIiLyznEmWNO0EzVN+1rTtC2apm3WNO02FRMjCiojCFbdJzguTuqCNU3tuOFg7lzgzDPV1kOH0IYZGzdKCUSTJlX3tW8PZGaGRKKaiIhqUVEOUQbgb7qunwJgIICbNU3romBcouApKpJb1UHw4cPAbbcBy5erHTccbN8OrFgB1K+vbkwjExwCbdI2bJBSiOratZMAeO/e4MyJiIi8c8LPIOUAACAASURBVBwE67q+X9f1H//470IAWwCc4HRcoqBr21aKOlUqKwOefx5Yt07tuOGgqEjKS2IULkUIkUzw8ePAL7/ULXdu105ud+4M/JyIiMg3pQvjNE1rC6AXgB9UjksUcAMGALt2AYMGqR03mhfGFRaqbY8GSL3Bu+/K7yuItm6V85vameD27eV2x47Az4mIiHxTtjBO07RGAN4HcLuu63X2hNU07XoA1wNAmzZtVD0tUXipX1/qgRkEq9G4MTBunNoxbTAWxdXOBKenA/HxzAQTEYUiJZlgTdPiIQHwPF3XP/B0jK7rs3Rd76vret/U1FQVT0vkno8/Bs49V32tqaZJNjgag+CMDKB/f/XjLl0KrF+vflwLNm6UYLdTp5r3x8ZKVQ0zwUREocdxJljTNA3AywC26Lr+rPMpEYWAnTuBxYvV1q8aGjUCysvVjxvqnnjCnXH/9Cdg6FBgzhx3xjdhwwbZByQ+vu732rVjJpiIKBSpKIc4HcA1ADZqmmakY+7Tdf0zBWMTBYdb3SEA2eUsGlukuaV586AvjNu4ERgyxPP32rcHVq0K6HSIiMgEx0GwrusrAPATnSJLcbGk9erVUz92tAbA554r5RCPPaZ23JSUoLZIO3RIWqDVXhRnaNdOjjl0SH2zESIiso/bJhN5UlzsThYYAB55BHj6aXfGDmUbNrgTrAY5E2xsl+xtN2i2SSMiCk0Mgok8SUsDevd2Z+yFC4HPP3dn7FBWWKh+G2og6JlgozOEt0ww26SFmZ07pekzEUU8BsFEntx/P7BkiTtjR2N3iLIy2S5ZdYs0APjLX4BPPlE/rkkbNwLNmgGtW3v+fkaG3DITHCbat5dVjkQU8RgEEwVaYqIEhNHEWGjoRhB88snAaaepH9ckY7tkb6XeSUlyYYGZ4DAxZYrcFhcHdx5E5DoGwUSeTJ4M3HSTO2M3aOA3E1xRAXz1FbB6tTtTCLiKCmDkyLqNdFX4/Xdg7tyglERUVACbNnkvhTCwTVoYGTlSboPce5qI3McgmMiTn36SbZPd0Lx51fbJteTnA9OmydXYoUOBK65wZwoB16wZ8OmnwOjR6sfetAn485+DUse5e7ckub0tijO0b88gOCzk58vrFADWrAnuXIjIdQyCiTwpLnZnERcAzJjhMcu0erVss3v77dJKa8QIIDMTOHbMnWlEjJQUuQ1CJnjTJrk1kwneswc4ftz9OZED27cDL74o/71lS3DnQkSuYxBM5ElRkXst0rz47DOJvVevBr7/Hhg/Xi63Z2YGdBru+OYbifDdqO8wguAgtEnbu1duTzrJ93Ht2snvcs8e9+dEDvz2m9wuWgS88EJw50JErmMQTOSJm5ng994DLrhAoqJq9u8HUlOBvn3l/zt0kNvt292ZRkDl5UntbpyKTSprad5cboOQCT5wQBbEpab6Po5t0sKEcZbSs2f0bmpDFEUYBBN50q8f0LmzO2Pv3Al8/DFw9GiNu/ftA1q1qvr/jh3lNiKC4MJCuXWjO0TDhkD9+kHJBB84IAGwv9ieG2aEid9+AxIS5ErQ1VdH0MpUIvLEhbQMUQRwczOLBg3ktqSkxgK5/ftr9ppt3hxITga2bXNvKgHjZhCsacAPP3hv1OuiAweAli39H9eqlcRWzASHuN9/B9q0kb/RefNkw5x+/YI9KyJyCYNgokAzAt9abdL27avZZUDTpCSCmWATevRwZ1w/Dh40FwTHxMimGcwEh7h584CCAlmZeuKJ7BBBFOFYDkFU24EDEn2++64743sIgsvL5Wmrl0MAERQEd+oEXHppVRZctU8/BV57zZ2xfThwAGjRwtyx7BUcBmJiJAAGgD59GAQTRTgGwUS1HT4s163d6k3WrJlERLpeeVd2tqyTq31Fv2NH6Q5RWurOVALm4ouBd95xb7HRK68Ajz/uzthe6Lr5cghAFsft2FHj106hpLRUNslZulT+v29fqUUqKAjqtIjIPQyCiWoztkt1q0XaiBESDZ1ySuVd+/bJradMcHl5hLRJc1NKSsC7QxQUyHmS2SC4XTtZbxWE9Xtkxr59wOzZVZdeBgyQ+qT9+4M7LyJyDYNgotqMINitFmkeGEFw7UxwxLRJGz8eGDjQvfGbN5cguFbbOTcdOCC3VjLBABfHhSyjPVqbNnI7bJjsHOlWlxgiCjoGwUS1FRXJrVuZ4B075AP2m28q7zKSTREbBOfluRugpqXJ+AFMsx48KLdWMsEA64JDlrFRxoknBnceRBQwDIKJamvWDBg92vyKJ6tKS4ElS6Qd0x+MTHDtp0xLk4R02AfBhYXudYYAqkpLArjVrZEJNvsyadtWbnfvdmU65JSRCa4eBD/8cNXuNUQUcdgijai2/v1lMwu3eOgOYewWV69ezUM1TRbHRUQQbGxv7IYzzpAzCbNpWQWslkMkJsrFhexs9+ZEDhQXyxlN9TKoevWAtWuBQ4equkYQUcRgJpgo0Iwg+MiRyrv27fO+10OHDhGwYYbbmeAGDWRVYQC3uj1wAIiPtxYbpaYyCA5ZjzxSdxGckQVeuzbw8yEi1zEIJqpt+nSJSI0FcqpV3zHuD7W3TK6uQwdg1y6grMyd6QTEFVcA557r7nO88w4wdaq7z1HNwYOSOIyx8C6algZkZbk3J3Ko9klUnz5yy37BRBGJQTBRbbm5khFKSHBn/AYNgG7daqQQa2+ZXF2HDhIAGyWLYenxx4E//cnd5/j+e+DZZ6WnXABY2SjDwExwCBs3TnaMq65pU1kjUK1+n4giB4NgsqaiIvK7/RcXSwAcG+vO+DExwIYN0pgf3neLM4R9hwhdB44fd/95uneXEpMA9SCzslGGgUFwiCouBt5/v6pDRHVXXQX07h34ORGR6xgEkzWrV0v669tva9S0RpSSEvfao3mQleV5tzhDx45yG7Z1wYcOAfXrS5mJm7p3l9sNG9x9nj/YDYKzsiL/PDLs+GqPNn06MHFiYOdDRAHBIJisWbpUUlkXXww89FCwZ+OOI0eqFq+55cILgQcfBOC9R7ChZUuZTthmggsL5dbtE4suXaqy7C6rqJBg1moQnJYmSXHjR0IhovZGGbXxrIUoIjEIJmu+/ho49VRgyBBg5szI/DTv31/qA920ZQvw668AvG+ZbNA0KYkI+yDYze4QgJSwdOsm+xm7LDdXyljsZIIBlkSEHF+Z4HHj5D2BiCIOg2Ayr7QUWLFCAuC77pJgY/bsYM9KvSlTZIGVmxo0qOwO4S8TDDAINu3HH4Fp01x/GqsbZRgYBIeomBjZ0u+EE+p+Lz4+ICdWRBR4DILJvLVrZQHJkCFAv37AWWcB//63BMdkTWJiZRDsbbe46jp0kO12A9T4QC0jCK6+CYFbrPQrc8DqRhmGtDS5ZZu0EDNxoiyojI+v+73GjYHDhwM/JyJyHYNgMq9ZM+Cvf5XgF5Bs8G+/AfPnB3deqp1xBnDRRe4+R60g2NNucdV17Ci1pJ4Wr4e8Nm2Av/+9at9gN23eDJx9tizgdJHdIJiZ4DDEIJgoYjEIJvM6dQKeeabqk/z884EPPwTGjg3uvFQ7fNj9ncd69wa6dgXgu0ewIazbpHXuDPzrX0B6uvvPlZQkizdd3uHr4EG5ZRAcIcaMkV7WniQny2JZXvEiJyoqgK++CtPLeZGLQTCZU1oKrFxZ84MgJka6HMTFBW9ebigpcb87xFNPycJC+N4tzhDWQXBREZCfH5gV9ieeKEGLyx0iDhyQl4jVCo/ERPliEBxCdB1YskRWO3oycCBw221hvmUjBd2SJcDQoe5vGkSWMAgmc9auBQYNAhYsqHn/kSPA7bcDn38enHm5IRBBcDX79vnPBLduLc0PwrJX8PPPy85bx465/1yaJv2CAxAEt2hh74IBt04OMbm58j7mrT3asGHAc89VbXdOZIeR6XjjDWDOnODOhSoxCCZzli6V28GDa95fv75kNL/6KuBTck0gguBHHwX69UN5uVxa9xcEx8RISe3u3e5OyxWFhXK1oH79wDyfEQS7mHm2s1GGgbvGhRhf7dEAeR2VlDATTM507SpXUocNkw5EK1cGe0YEBsFk1tKl0h/YWN5uMKKzXbuCMSt3XHtt3WBftfx8YMuWyt3i/JVDAFJSu3evu9NyRVGR1Oq6XWdtOOMM+XJxMdPBgwyCI4axUYa3IHjJEtnohUELOfHzz3Ii9fbb8lp7881gz4jAIJjMqN4f2JOMjMgKgp99FrjkEnef44/uEPv3SbbSXyYYkPfNsOwOUVgYmB7BhiuuAD77TGqDXeIkE5yWxiA4pDRoICe9J53k+fuNG8stO0SQXceOyRWqRx6RLkvffReQfubkH4Ng8q96f2BP2rYFMjMDOCEX6bq8Ybm9iCsxEdB17NstCw3NZoL37w/DReqBDoINFRWuDFtaCuTkOMsEZ2VxJ96QMXw4sGxZ3atcBuNkikEw2fXzz9IVokcP+f+0NKlD37o1DN/QIwuDYPKvVy8phxg2zPP327WTms8/+t6GtYMHZQXaiy+6+zx/LLIxgmCzmWBdr9phLmyMHy+LJwNp+HB5XhcYi9qs7hZnSE2V86yiInVzIhcxE0xO/fST3HbvXnXfBx9I+8hIuooahhgEk3/168sGGU2aeP7+nXdK8BjAjgquKS6WW7f/LR07AhdcgP0HpU7WTFbRKFkMu5KIsWOBSZMC+5xJScDy5a4sZrK7UYaBvYJDzI03ykmTNwyCyakNGyTx0bFj1X3cPjIkMAgm/6ZNA7791vv3A7XgKRCMbHbDhu4+z8iRwIIF2HcoEampnndrrc3YayLsFsft2uW9B6tbrr4a+P134KOPlA9td6MMg/HZxyA4ROzaJQtVvUlMBO69FxgwIHBzosjy00/SHSI2tuo+41ISg+CgYhBMvh0/Dvztb777AB85IgvJ3norcPNyixEEByirbWa3OEPYZoKHDJHXUCCNGSMLnaZPVz60qkwwP/tCxKFDsljJG02T3eTc7hhDkevBB6UtZnXMBIcEBsHk265dUtDfqZP3YxISgIULge+/D9y83BKoIHjZMqBlS+zbVmw6CE5Olqv8YRcEB2NhXFwccNNNUsu+caPSoY0g2ElNMMBMcMjIy5PNXPwdk5MTmPlQ5DnzzLolNykpcssgOKgibL9bUs7YosxXEKxpkdMmLT0duOce6XjhJk0DDh7EvrI49Bhk/mFh1ytY1yUItrq/sAqTJkm2pXodngIHDsgJSUKCvcczCA4x/jLBgKyJ6NQJeP/9wMyJIsf27cAvv8iWydV3HYyPl42m+vYN3tyIQTD58euvcusrCAYip01ax47AE0+4/zwNGqAcMTh4qJ7pTDAQhr2Cjx2TxWnBaJHWrBkwYYLyYZ1slAFIuXliIoPgkDFypP9638aNgYKCwMyHIst770lNeV5e3a23b7ghOHOiSgyCybft2yWY8JcpyciQS/y6Ht4L5UpKpMa5aVPZDc8tiYnIQhoqKjRTPYIN6enKr+67q7BQboMRBAPyevz3v+X3OXGikiGdbJRhMHoFUwiYO9f/MY0bB35xJ0WGDRuANm08l9zs2iVXInr3Dvy8CABrgsmfGTOk0bc/XbtKtjjcewW/8orUarmdpktMxAFIJGUloDrxRAnCjh93aV6qJSYCL7wAnH12cJ5f04CPP5aFKYrapakKgpkJDiONG7NFGtnz009Vm2TUdvfdrvUzJ3MYBJNvMTHmVgBdfz2wZo37rcXcFqiFcU2aIP8c2ZrZ35qc6owNM/btc2leqjVsCEyZIidJwXLrrcCePRIMK3DggP1FcQZunRwifvxRrlJ88YXv45KTGQSTdUePyq5w1TfJqC4tjZeEgoxBMHlXUgJMngysXBnsmQSOEQTXrt1SrWlTFPxlKoCqXVnNCLtewQUFwLp1VZuQBMMFF8i+1G+/7XioI0ckFmI5RITIy5Ot+/yd9F52GfDAA4GZE0WO2tsl15aWJq9Bbp0cNAyCybvt24HZs82txDp2TBaXzJzp/rzcVFIC1KsnLbZcZqyz8bYRnydh1yt45UqpdzO2DQ2G2Fjg9NOBH35wPJQRuBotPu0yyiF03fGUyIlDh+TW3+WYYcPkigaRFd27A5s2Aeee6/n73Dkn6BgEk3dGezQzLabq15fjN2xwd05uKykJ2EYZBTfdC8BaJjjsguBgL4wzDBsGdO4sJ2sOGK1ijTZndqWlyZXSYCbICVVBsL+Fv4cPA5s3M2NH1sTFAaee6j3TwQ0zgo5BMHlntEcz22c1EtqkjR4N/N//BeSp8suld27jxuYfk5Qkx4dNOUSoBME33CC7Htav72gYVUEwewWHiLw8ufWXCX7vPalrD5tifAoJ06YBCxZ4//5ppwHz58vulhQUDILJu23bZE9fsxsdRMKGGcOHA7ffHpCnKohtjsS4Y4iPt/a4sOoVHCpBsKG83NHDjSDY2OzJLm6dHCK6dZNNVfytATDOVLk4jszSdeCRR4BPP/V+TKtWwEUXWVsdHY0qKoBFi1ypH2MQTN4VFwOnnGL++IwMyQSHc6Hj779X7YvrsoLYpkiOt95SLqx2jSsqkttQCIIvvVQ2RnDAyNyqCoKZCQ6yUaOAl17y39ucQTBZlZMjvaW7dPF+TEUFsHChuTak0cjoBZqbK4v0Fy9W/hQMgsm7t9+Wsy+z+vcHzjsvvAsdJ04ELrkkIE9VoDVFcpz1n1VYZYIvvFA2I6hXL9gzAZo3B77/Xj54bMrJkXV2Vuq4PeF6mBBx7Ji5k3YGwWTVjh1y26GD92M0TbrXmNmwJdo891xVxicuDti9WzoNKcYgmHyzsvvbZZdJfZPZ8olQVFwcuIVxaR3QJMV6F4oTT5Stex2u8QqMrl2Ba64J9izEgAESxGzdanuInByJpZ1uJshMcIg4/3xgyBD/xxlBMLdOJrO2b5fb9u29H6NpckZ88GBg5hQuCguBO+6QLHppqZSLuLRdKoNg8mzDBsnq2nnRhXM5RAC7Q+Q3bYfkTtYbzhq9gsNijc6GDbKJSigYMEBuHbRKy8lxXgoByB4iDRqwJtg2VTtTHjpkbmVqerqUTfTrp+Z5KfL9/rsEuRkZvo/jhhl17d4ttzfeWPXz69qVQTAF0MaNUqsUG2v+McePy0K6J55wb15uC2SLtAIdyUnWF2qFVZu0//s/4Nprgz0L0bmzBDwhEAQD3DXONl0HTjhBAoy33nI21qFD/tujAfK6mTTJd1aPqLq775YrTwkJvo9jEFzXnj1y26ZN1X3dugFbtihvU+j+jgAUnrZtkw8ZK2/69erJ6vtw7hARyHKI3flIzl4M4FJLjzOC4LBYHFdYGBqL4gCpYbjvPkeBTE6OxNIqGBtmkEXr1gH5+fLfRi9zu/LyzK/MX7NGAuZ27Zw9J0UPM6WBaWlcGFebkQmu3jru3HOlufqRI7DcUskHZoLJs19/lReg1b6q4d4m7bHHgPHjA/JUBWUNkVxxyPLjjHKIsMgE5+c7X0Wm0t13A+PG2X54dra6TDCDYJveeksWysTGOjsTLCuTkzSzQfDQocD06fafj6LLtdcC77/v/7h77gE++MD9+YSTyy4Dvvmm5v70554LPP+8tcb6JjATTJ5t2wZ06mT9cRkZwOrV6ucTKH/+c0Ce5vhx4Gh5PTQpz7P82EaNZAOisAiCc3Ottdlzm65LG7+GDS3vfVxRIf8clUHw5s1qxgoZy5fLNrE33ujO+LouXWuGDwf275e6S7vKyoD77wfOOsvc8Y0bc2EcmVNYCMyZY+4zNJTeH0NF8+bAmWfWvf/4cfkbdLpbUTVKMsGapv1P07QsTdM2qRiPQkDr1lULiaxo21bqeRxuShAUFRXA2rUBSc8Zn6XJZTm2Hh82vYJzc+UNLVRkZ8vl7Ndes/zQggJ5WbMm2IcrrwRuukn+jtzw/ffy/nL55VIX7OSPICEBePRRc90hAAmC2SKNzDDTHs3w22/A//5XtXshyfvzV1/Vvb9fP6nNV0hVOcQrAM5TNBaFggULgIcftv64s88Grr9eanfCTUkJ0Lcv8Morrj+VUdKYfNxeEBw2vYLff1+anIeKtDQp81m1yvJDVe0WZ0hNlfK2cG6rXceyZXJ7773ujN+pk5QkXHihZHD797c/1tGjchZi9oSdQTCZZQTBZtYfbNoEXHedo9aNEee++zz3Tu7cWXmHCCVBsK7r3wDgaQzJZcoZM+Ryc7gx2i4FYGFcZSZ47Dm2Nm8ImyD43HOBU08N9ixqGjDAVocIN4JgIMKywe3bA88+K5vsLFmifvzmzYFbbpE68zvvBGbNsj/W11/LSZHZEyIGwWSWmR7BhhYt5JYdIkRpqfT/rL4oztCtm6w5KixU9nRcGEd1zZsnPfnsNvAuLa3a7tCCtWuBM86QJJLDjb3sMYLgAATwlUHwLX+ytfNCeroETyGdcM/NBd57L/Te3AcMkNXHFl/fRhCsqhzNGCfUfjyOzJghl4DbtJFgWKX164HZs9X2CAbMtUgDgKlTgX/+U81zU2QrLQU6djS3iMtYmxBRbwQO/P67fPhXb49m6NZNbhUupghYEKxp2vWapq3RNG1NdkSlPiLQxo3SHcJOLefOndIqzUb/zqefljV1Tz0FnHaalPwFtOVwEDLBTfRDtuqnjTZpTtYFuW7TJuDSS2XDjFBi1LpbLIlQnQk2xsnNVTNeSHjwQeCLL4CPPpIFbCrNmgXcdlvVZjwrV8p71PLl9sYzajDNBsFnnmm+fpii29Sp8hlqRkSeDTvgqT2awQiCFZZEBCwI1nV9lq7rfXVd75uqcGUfueCXXySbE2ejeYjxu7WYZTt0SHZcvuEGyXC+/rpcRb/vPkd7G1gTjHKIs3tV/dFbEBa9go3oLpQWxgFAz57Ahx9K/bcFxrm76iA4x15ZeOipqKjafKJHD2ljUloqXRicKi+XqwqjR1ddqWnSRAJZu38ERia4SRNzx+/YAXz2mb3nIvKmfn0p7+HWycLTRhmGtm2BJ5+ULJkiLIegurZutb8jQKNGsh+sxT/oN98Ejh2T1opNm0qr3vnzJaa+994A7cTctq1E3716uf5UlQvjUGDr8q4RBGdmqpuTcqEaBDdsKAurWrWy9LCcHGkooOocKeIywYWFEggbfXcPHpQz2Zdfdj52drZ8DR5cdZ/RMNvu5ZC8PNnIxWzj/ddeA0aNcrXzja7L2+/s2fJeOH++a09Fbjl2DBg40FyPYMN338numgRccYXU/XralCYmBrjrLinXVERVi7Q3AawEcLKmaXs1TbtOxbgUBGVlkvE4+WR7j9c0qXGyGAT/73+SoOvZs+q+pCRp4/n118DixfamY0lKikTfJ5zg+lMZmeDGOGwrCG7XThIIm0K5KaFxuTnUgmBAuhh8+62lhxhbJmuamikkJ8t+DxGTCa5dXpCWJkHxl186H9v4IVXv7ZyUJF92M8GjRwOPPGL+eKO+s6jI3vP5MXeu7A3QubM0VJk7V265Fi/M7Nolly+PHDH/mC5dQvN9Mhji4yUh5e1KdG6uLLxVlBlT1R3iSl3XW+m6Hq/rerqu6wpO/SkoiorkTMxTo2qzWrSwVN+0YYMsirv22rrfmzJFrooEJBt84IDsUqNq4Y0PBQVAowZliEWFtTfLP8TFyftmqJXb1pCbK5F6gLahtuSvfwUef9zSQ4wgWBVNk8+9iAuCjUywpskJpYpUtzF27V+Ak4bZQ4dKjbFZRhDsQlR66BBw663yz5k1C9iyRZKDubnAc88pfzpyk5XOEIYvvwReeMGd+YSbGTPkiqw38+ZJF6oDB5Q8HcshqKYmTSQFMXKk/TEmT5ZA2qQ5c2Qt3VVX1f1e/frSrnjtWmtXl2xZtEh6j+7f7/ITSRDcJOmPy6o2g+7u3ZW3TFTr1lslja8qdapSq1aW30RzcpRuVARAguCIKYfo2VNKFoYPr7ovJUVNlD94sLRCqX1yftVV5nd8q23HDmuLkYztv10Igp96SoadM0fePjt3lhbIF18MPPNMBL1GooGVjTIM8+ezHMLwn//Img1vFC+OYxBMNR096jzlOmkSMHGiqUOPH5dSuwsv9H416OqrJet5//1q1th4FeCFcclNY2THKitvltV07y7xeshmEtPTlS5gUKplS8snO6ozwYC6GDEkxMbKP6hBg6r7VP4D69eve4l06lTgL3+xN94FF1jb3tmlTHBWFjBtmmyC1717ze898oiUWj/5pNKnJDft2CFlOlbeLNLS5O8kHHdaVUnXZaG4p84QBgbB5KpbbrFfD2w4dkxWbJlo9Pvxx5Ll8BUzx8YCjz0mHWdc3czN2LorAEFwfj6Q3DxeIvuOHW2N4UK3GLXeey9Axdw2tGwp0YeFD53sbHeC4IjJ8i1fLq/n6lvgnX22RHdOffhhzfZo1R05Yu/E/dChqtINM/r2lQ1AunSx/lw+PPGE5B4eeqju9049VZYpTJ8ekAtUpEKLFsD551u7ApaWJq/hiHkzsCk3V/6ePXWGMKSkyPs3g2Byxdat8gJz4sUXgYwMU3uhz5kjZYPVr6B6cuGFQJ8+Uh/nWm1woDPBjf846zVaRVhkZI1Cti74gQeAmTODPQvPWraUANjkh05pqfyaVAfBEVUTvGKF1FlX3/zliiskzenU0qVyBlw7sJg9W/5e7USIeXnmewQD8ss655yqsggF9u6VUtA//1l2hPbkwQfl9ffYY8qeltx0//3We2Rzwwzhq0dwdd26KVsVziCYavrlF+eZYGMbSD8dIrKzgc8/B/70J8n2+qJp0kN482YX+waXlMjlVrMtkxwoKACSE4/LKthXX7U1RosWUqMaskFwbm7orni+5BJgzRrTPWK9rctyyqgWCEgLQLcdOiQ95KqXQwASwTm9zOutFsV4r7G6OO7IEbliZSUTfPQo8M478h6pyKOPygWzBx7wfkz79sB118mCuV27lD01hRIGweLAAfmw95UJBuTyyZw5q1ln6AAAIABJREFUSp6SQTBVycuTDxu7PYINJoPg9evlA+Dcc80Ne8UV0uJ19mxn0/PqT38CPvjApcFrkprgPyJ/G90hDCG7OE7X5fUUqkFwq1ZyaaFePVOHq94tztC8ucSILnXdCqy8vLpB5cKF8jNevdrZ2N5qUYx2hlZ7BVvdMhmQoPnyy5VtmLFzp7RQnjxZzoV9mTpVziMUfe6TW3bvBlq3ljo/KwYOlNd4tO9IOGqUnGz26OH7uD59quoBHWIQTFW2bpXbAGWCjasZZvteJyXJZ9Bbb8liEeU6dwbGjHFh4LoKCoAmzdUEwZs2heB6isOHZRVjqAbBR45IBGIyje5WEBxRu8YZu8VVZwTFTv+B3jLBxoYZVjPBSUny+7cSdDRqJLeKFsbNmCFJr/vv93+sscb000+VPDW5Zft2Kc0xXitm1a8vr+8YhmSoV8//peEDB+SMUMEue/yJUxVje7bqO1bYYfLSzubN8pRW2k5dd52su3nnHQfz82b1atlEwWVHj0pXjOQmmlw+dhAEd+smDze68oSMUN0tzlBeLl1MPv/c1OFGDKe6RVpE7Rp3+HDdTLDxA3MaBJeX19wow5CSIuVLVjPBSUnSmNzKCX9srAQ3CoLgY8ekE+WFF0ri0IxRo4Aff+QCuZBmpz2a4aGHfLcGiwb/+hfwz3/6P27bNvn7VVALyCCYqnToIAtbjOyKXc2aAU8/XXOLUw82b5bVz1acdhpwyikulUQ88YT9dksWVG6ZnAypn3SwOYexOC7kSiJOPFGyIhddFOyZeNaokXyZ7BWcnS23bpRDABGSCf7yy7rdQFSlutevl20la4uJkYJaq5eRs7JkccHRo9Yel5ysJAj+8EM58Zk82fxjRo2SW0XVGOSG7dslq2tn19EXX2Sq/913zSWijMX7CjbMYBBMVXbsUFNnoGnA3/4G9Orl9RBdlyDY6hbgmiYJvO+/l8crVVISsM4QwB9B8JNPApdeanusLl0kDgi5xXHx8bKix+TCs6Bo1cp0Ws2I4VQntiOqHELTJACorlEjubyp4h/oreXU1KnAeedZG+uzz6QO02patXFjJUHw7NmyAH7YMPOP6dZNzi2jPU4Kadu3S2ckO2UNaWlcGLdnj/9FcQCDYHLJ6NGyOEyFPXuAn3/2+u3ffpN422omGACuuUZirJdVb84djCB40iT7O15BEskdO4ZgELx+vWyDZfxjQ1HLlqbfRHNyJP4xuY7ONCOojohyiClTgAULat6nacDddwNnnGF/3KwsYNw4acHmSUmJ9bYJtbd4Nuvttx3vXLFzpyTMr7vOWqykaZIN/vJLKaegEHTaafb7YqemRncQfOSIXHLz1x4NkJPrxEQGwaRQWZlkgp12hjBcf700v/TCyOLaCYJTU6WWbu5cxR8GJSXSfsJlRlzYpAnkZ+6woDckO0QsXw78/e9S/ByqLAbBqkshAHkNxMREQCa4tFQu53o6G3v4YTnBtmvfPtkz3ahJqe2BB+SSiJU+c4cOSVRp7AJnVrdu/ls5+PG//8nvfMIE648dNUrWRHzzjaMpkFvuuksaO9vRpEloJw3ctmeP3JrJBGuaLMBnEEzK7NolH2ROO0MYWrTweVZrdIawEwQDkkDNzbXeicanYGSCr7oKuPlmR+N16yZxdEi12TJSm1YzbYH073+bXgjpVhAcEyPZ4LDPBBuF7p5+30eOOFvF7a81xwknSG2v0fbMDKOdm9XL1kuXyj7vNpWVyaL2886T0garzjlH1tKyJCIElZY6y8o0blxzt8Vok58viQkzmWBAFjU/95zjp2UQ7LZNm4BPPgn2LPxT1R7N0KKFfPB5yc5s3iwlmVbadFY3bJgEDx995GCOtc2d67trvSIqF8YBVYvjlNdIO5GbK5mNuLhgz8S7E06oaufnR06O+s4QhojYNc4oL/D0Bz1hgqOSH79BsJ02aVa3TDa89hpw333WH/eHzz+XxLaVBXHVJSZKIPzJJxGywUokWbJEfkGrVtl7/IsvApmZSqcUVgYMkBr9M880d/zJJyt5U2YQ7LZu3aT3bKgXcbkRBB875nURiZ3OENXFxgIjRgBffCEbbijRt6+zSZlUIxOcmOioRRoQotsnh/JucYatW+XSpbfL7NW4lQkGqnaNC2tGFtZTYOn0H2gmEwxYa5N2xx3A9OnW5+JwYdzs2fLWaHR6sGPUKLny8+uv9scgF2zdKh9GGRn2Hh8X533xJ9W1YoXj+nyAQbC7qkdn338fvHmYcf75si+n3dRsbT56BVdUyJo5q50hahs5UuKXtWudjVPp9deBn35SNJh3BQXyXpeUBMkEOwyCTzpJ1gkwCLZo507pzWmiJtvbhmUqREQ5REmJvKA9vX+kpEim2O6OLjEx0kzXW+bWTia4Xz95z7OqcWNZ0WvjzHvfPiljmDjR2c7sRgDNkogQ88sv8hq1+0axdKn0vg2purYAevBBWVxr1ldfyaJbh+tOGAS7acsWub3tNvMp/mDp0sX+NTpPBg+Wrd08NLjPzJTPTKdJ1xEjJJhU0jdT16XtRAC2TS4okM/SmBgoCYJjYuSCg7fFcaWlspBw5EjZxTYgl1Hnzw/9T2mTbXZKSuSLmWAfzjlHMqQDBtT9XkqKvOis1OxWd9NNkuX1VlrTqpXUdw8aZH7MRYuq3p+taNxY/i02ajdff13OAyZOtP601Z10kiQQwqHKLqps3SpXUu1mc7dvl4Jxu38nLigpkdj08cfl9fbbby5+fixdaq2mzyhlc9hRg0Gwm44dk0jt1ltDfzvETz6xvuuSLyedJK1ikpPrfMtJZ4jqUlKA/v1Nb/rlmxGIBmhhXOWPZcoU2VjEoW7dJBPs6Q3qnnukdnr1almQ07Ur8NJLLm+1nJjoXtSoihEE++kVa2Rp3QyCc3MjuMbT+MGZKDuxJT4euP12a28oV11lvxwCsFwSoesS35x+OtCpk/WnrW3UKGnAEs3NBELO1q3OuisZHwoh8ks9elT2OnroIdnae8wYadzQrp31XcpNMdsj2KCoV3CIR2ZhrndvKVotLpZshoqNKNxw6JC8wt94Q92YZWXA11/L2W0tRhDcpYvzpxk5UtYhOP58NRanBSAIzs+vFgSfcQZw8cWOx+zVS36NL75Y8/7584Fnn5UGFHv3Aq++Kr1ur7/e8wZcytx9t2TbQllqqmRt/LyJ+itJdap5czlfLn71PSnwLitz54nc9MYbElh6iuT79JGe0XZLrW67TV5Pvuzebb6UychK25nPpZdKGY3JBZWGVavkarmdtmiejB4tL5NQ/xPzqbAQWLcu2LNQQ9eBv/4VuOwy+2PYPMFyw/Hj8k9ZtEhO3goKpAR3+nT5HFFQiltTebmkmc12hgAYBIcF48WclQW88ELoNnc03ohU9Qg2DB3qsZ3Qpk3SHshDktiy88+X95+FCx0OFMAguEYmeM8e0226fLnmGsny3nijrPkpL5fP6okTZb3fM8/IZl5/+hPw44+ylmjpUsdP69nx4/Iu+cMPLj2BInFxUq5jMgh2qztE5a5xU5+TmhbHL+YgWLVKyl88XQru1Am4807LgWOlZcskgvTlttuAq682N15hofyB2OkO0aSJLHyy2PVkzhypfHISI1U3cKBMP2xLIn7/XdLiffrIG1W4M3ZJtVNnbjCC4CBngsvK5E/p44+B//5XTtwaN5Zf1y23yGfISy8563pYx4ED8sTMBEeQvXvlDfPVV6VWrX59KeQORS++KHM95xx1Y8bFSYrLQ72O084Q1fXpI8GJ45KIYAXBc+YAQ4Y4rk1o2FDetG69VVonXnCBJK00DXjnnZq72WqafIi6tlbTqB8I9YVxgARXL7zg85BAZIIBILfDH/W0H37ozhO5yei760lFhVwRslu7Z6Y1R3q6+Wu0vtq5+XPgAPDPfwLbtpl+yJEjsjzikkus783hTVycnPR+/rnC7jiBsmWL7Ky2Y4dkMJQ2ew+SAwfkaoSTmqbkZFlcGsQNhkpLJeh99125gnjjjXWPuecemeKzzyp84uJiqW200p0qPV0icYdF9gyC3fLtt/IHceqpkgIYNEj6CAZSRYVc9tu/X1ajebrMunev7MY0aZL63dKMXsHVlJfLe6CqIDgmRj4MvvjCYRzZtq1s9TtihJqJ+VBQ8MducYC8NgApwHIoLg6YNk1iuoULJeP76queO/YMHCgJGFd26TSCYFWdRtxkbNnmg1Fq42ZNMADklCbL63DmTHeeyE2+yguOHpW9ve3sc67r5lpzpKdLnZGZBWu+2rn5k50N3HuvpS4yCxbI37zTBXG1jR4tf79r1qgd13VPPy1R1IoVsljBx86iYeM//wHat5co0q4uXeTq8YUXqpuXBUVFUhU5bx7wxBNyRdGTjh1luc9//1t1PulYp05y5fDss80/JjZWruTFxjp6agbBblmxQoLKnj3l/4cOlTfOQC4DNz6YWreWSOjMM+sGwl9+KbcOdy3zKC2tTpS1Y4fUPzptj1bdyJHyx2i3RzkA2YapR4+ABG41MsFGEOywQ0R1U6bIFeS33pKMsCcDB8qtKxUL4ZQJ/uAD2erUh5wciZMrT1wUM+K73JsfkJ0bHb6pB4WvTHBionzZee8rKpKAyV8QbKVXcIcOclXu9NOtz6dRI7m10B1izhy5yjtkiPWn8+W88+R1GepNWOr4z3/kzbpXL4m63PrDCqRffpHP2Hr1gj2TOo4elfKFRYu8J5kPHpTX5+LF0sv6nnt8j3nfffKn+fzzyqdrzX/+U3chjEUMgt2yYoVEGkbt2NCh8kYdyPqnpCRpHfTCC8A//iHXv595puYx114rdalt26p/fg+ZYFWdIaobPlw+DByVRGRmyqmtK6nRKrruJQh2uGtcbaefLmfr3vTuLS9NV0oijJq2cAiCV6+W9LmPy5g5OXJu5FZsavyYKmPEF16Q94twahdh1Mp6Y7TAsKqkRHr6+tuAwOgVbCYITkqSjJOdIm/japnJXq5790rw8ec/q28Q1KyZVBWETV3w+vXyuVivXlXt55Ejsmgy0FdJVXPaGcIwfrz00lOkqEg6iVx/vXxOpqYCV1whQfHrr8vXK6/I62jLFrlqcd11/sft2lXWc0+bpmgd3333yTawVr33nuOfVwjvaRrGCgqkX9U//lF134ABsvoxEDvC6Dpw5ZWyWur226vu//nnmu2gSkulvVDr1u7M495762Q4jSD4lFPUPU2zZnK+8dlnwMMP2xxk/XrJhg8a5LG3sSolJZKMdzMTbEZioiS+XQmCL7hAXlvhsPtRy5Yy17w8r0G7m7vFAUZFho6cGW8DbRIk2v7qKwnQ+/d374lV8peOTE21lwlu0cLcJZ4ePeQD0cwlptWrJeNuFM1bYWSCTQbBc+fK27FbV/xHj5a32f37pV1ySHv2WanTqr6QqV49KY8YOlS+wlFFhdSIDx/ufKxPPpG/FbOLPH3Iy5OrpGvWSCVSWpoEuR9/DLz9ds1jU1KkmZOVt5v775fuQ//9r//MsV8bNtg7SW7Z0nE9EDPBbtA0uU4wdmzN+zQtMNmdbdvkVV67/+lbb8mqKUDmMWiQ/9ZDTnTvXqd5/qZNktQxPktUGTlSdo6zvWLVuLzp8sK4GlsmA8BZZ8k7k1snIj4MHCjxhSv9guPiwuOyvokVxm4HwbGxQNMmOnK35Urq8PLL5eTI1R52Aeb2jiDNmsnKMzPZ3blzgRtusHeS1qCBPM5EEKzrUpM/eLCUi7rB2D1OyYZBblu+XFpCVv+5x8bKP+Kzz5zV0wbTnj1Sc2BlUZc3yclKukPs3y8fLevWybnhtdfKCdNLL8nOhTt2SJhgfO3aZf18u08fWULz3HMKPkP27LHWHs3g4WqzVQyC3dC4sWQVu3evef/ChXLZbvdud5/fSO+ddlrN+43SjDVrpGXRmjVSH+eW33+XSxX5+ZV3qewMUZ1Rb2e7LtgoR1C9OLCWOkFwerpkTpOSXH1eTwYOlM9yK5v0mDJvXs0rEKHMZBDsVns0Q0pyKXKQIk+UnAyMGwe8+abyMhlXlJTIH6Cv3RbvuENSR1bNny+ftmbKHJYvN1fkvm+f/ZNOo6/01Kl+D928Gfj1V7ko55auXaXdZMiXROzdKyVnnnZOveACeWNcvjzg01KiWTP5Wz33XOdjNW7suL5A1yUptGuXnFtcdFHN78fEyIYXHTpUfdlNSl17rcSgK1c6mrLERFbaoxlatpSWhzZ2cDQwCHbDokWe2/W0bi1vwG63Slu5Uv6YvNUc/OMfcmmqaVOpQXLLunVSkrF1KwD549y+Xc2OSbX16CGfT2vX2hwgQC3SjCC4ci3IoUPyCeZyLbInxuI45SURX30lPXbCQcuW0j/OR/bl4MEABMENjyIXzaue6Npr5cMwANt4O5aXJysxfWV6R4yQRVBWZWZKmxMzf5c33STty/xxEgQDcl25es9BLz74QN6TagchKmmaZPgWLZIFxyFrxQq59RQEn3uu/Dw/+iiwc1KlcWMptFWxrkZBELx1q1T3/fOf7leYnHeeVLQ46upYUCD/ZjuZ4JYtpaTTwVUmBsGqlZZKixNPW+F27Sofcm5vmvH991KG4G0lxn//K1HYbbe5G/TV2ts7K0uuGvlb42JHo0ayLuHHH20OEOAguDITvG2bBAerV7v6vJ60by9XqZUHwbm54bEoDpAzsiNHapYuVVNeLu+vRsLYLc0TiiQTbNSjDx4sf58qtlV0m5mWY1lZEihb3Q0vJ0cumZvpIJCebi5j7DQInjZNSir8mD9fLsa5/doZNUoSYaG6FxMACYIbNZJsRW0NG0o0Ve2KYVj57juHrYmqadvWcTPpL76Q29GjnU/Hn8aNJdD+8EMHlZ5Hjkgpk9FJy4qrr5azPzsB9B8YBKu2bp38Uj2139E0iTx++8295y8vl1emr348GRkyhwcecG8eQNUH+h81O5mZ8r9uNKIApOOB7UzwTTdJQOpyixvjfd7t7hBmuLZpRjgFwUatvhfZ2bLuxe1AJiXpOHJiW1T9zcTESLFd797uPrEKZjaf+OADeU+ymrExCrLN1O+ecIL/DTMqKqRg0kkQ/Oqrfq907Nol2TgFO6L7dc458jYS0iURTz8tVyi97bT3wQfSpiAcTZ0quxSp8MYb0rffgc8/l4SQW5+ztV10kdQY2y6ra9lSCpftpK3j4hwvwGYQrJqRiqy1IKySgkJun2JjJeNy332+j2vUyP3V+0YmOEBBcJ8+kuSxtYticrIUR7n8M6mTCTYyzwHuDmEYOFBa4yhNwoRTEAzI0uYnn/T4LeO1ZHfHX7Oa981Abnwr6KnVOpMcPiyrplU47TR7NblmGJlgX0Fw5Y4gNoNgM9LT5Rfma4GVpkmXnL/8xdo8qktK8rswzrg8HIgguEEDCYQ//jiEu+olJPju3GFctbR6pSAU/PKLmvZoCpSUyMe/k92brbrgAvmzWrAA8n61Y4e1AZy8aIuLpaebg2bZDIJV27NHzk6M5u21jRjh7is0lN4FExIkK10rCHZw5cInI2lmqyTik0+kTMRldYLgILVIM/w/e9cdH0X1fe+kkBBISCCU0IP0FjqiIAgioCBFioIogoKIYMeOX0QQfiKIHewFK12aSkeqCKEqhJJQAkkoCZBASLLz++PkJZvdKe9N241wPh8+q8nu7Oxm5r1zz733XFYXbFU2j4gQiNktnVqJDRsKh8Z4gMWrtivB0SgVKpIQ+OgjpI857bgUce4cNqXUVPsackNCcJ5aZNXLDJkT9evzT5moUgXrn1YULEkIds0owaVL6/5NFixAX7RdrhCeGDgQ6rNflkRs2kQ0frz+eLHRo4ufTdrFi8gsWOEMQYTJKt27G3752rWoDnCSBFeqhH1k0SJCj9G8eWIHePFFNMUZ4S6hocggmJj6dIMEW42kJLTrqtlDjR6tqjpZgvvus7cdWRTr1xcoUImJ2AvtMkJo3hyPhkjwzz/DtN1mZGRA9CjoxvUxCW7dGrzA0pKIvXuJPvjAwgPajEqVVImTU0pw9DpsHEWsMkWmoKnhxRdRa+dy2Vdz2aMHcv/Vqqk/x6gSPHky/7XUqxcuZC2f73/+QVOwEU9SBh0SnJIC3ueECszQvz8C608/de49ubFkCUp72FqnhoAATFX1JyFHD4cO4dEqJfjECbhIGVTEV65EclGp/9BO9O4Ns6kT+zLUx9KpISkJgbSRLGxgIPqsDKV/gRsk2GpMngw/Xi3k5WFTshqyTLRunX+NbmzWrIBBJCbaW6cUEYG55oZIcFaW7U1xRIXT4gru94gIzKrs39/291ZCRAQs62wZmlFc4AckuNzxXUTkwRHNkuDNmzEDddQoeCL5svHIKAkWQaVKKEPTcm7YtIno2WfNqes6JHjJEizFTpLgsDD0CM2bpy+4Oo6NGxFt65Hg2rWxQPrdB9DAv//i0SolmKUIL10y9PIVKzAMMTTUmtPhBXNAWUK9EMyITK1KSjKXHjZZYnqDBFuNmjW1XaeXLgVJ3b3b+vdOTETa09Mf2JdYu7ZAnjB7rfOgZUuDzXFZWbZ7BBOBhxSUQhAhku3SpXDsqw/AmuMsEWBOnYIssGmTBQdzCJUqQRlUUDBSUsB5rB7u4onoTJQqWEaCc3ORdapaleh//4O7gl0k+I039POv0dFgaCKpXpcL5z9rFt/z8/KQGtWq7UlOxqOZ+paPP9YsLVm4EDGHp0283Xj0UaTCv/3W2ffVxJUrkAh5pEnmWX/4sL3nZCXuuQck3yq/feYMYcAmLSEBlU9OlkIw1KtHVL/SBVpEfbCWvv56oS2eHo4fN+YRzKAhYvDgBgm2Erm5mBT3zz/qz4mKwuJuR3Mck/NYoac/YN48ohdfJFm2XwkmQl3w8eMGBCeHleAiWLDAJxZpDG3borfJkr0nORlSWHFSc2rWVFVKz5yxXwUmIiqXcZSILCyH+OADNKnMmgUG3749RkjZgX/+0W+GCQ6GDZLIApCRgc/OG50FBID4//yz+nOSk0HIOXx+VVGihKr9ZEYG0erVUIGdnhoeFwf95dNP/aiiYNs2NCq2b6//XFZAXZxIcEQEPptV2VcTJHjFCjz6ggQTEfWp/Beto0504ek3cI9Nm6b/omvXUFNtRh2LjcX6YhA3SLCVOHUK3p5aKhhTIOwgwVu2gMhpdeE6jUqViM6fp7RT1+jKFftJcMuWeBQuifAlCR450qf2QKyczZK9h7G44uQO8eCDIHEKtaQpKQ70+OXlUfSFBCLyCN5Klyb6/HNjhp9JSWBiLCf/9NNEH35o/lyVcP68tjMEw6ZNKNHgBfsyeN0hJAmBg1bQYNYjmAgsd9QoxczB8uX4sZOlEO549FFYVflNedOZM1gLlCxDPVGrFtHgwepN5f6G3FwMntq717pjVqqEaMZAFLNyJWzPa9Wy7nRE0KdNMuVSMC3fUBqWcUuXEu3bp/2i7Gw810wR8yef8KvOCrhBgq3E8eN41JL2maxkQr5XRZs22OzUvBh9AVYPvAs2SnaTYMPNcatXY9yvzcjIUPD9L1nSZ41xRIXDS44ds+BgxZEEa+DMGQdIcFYWRbWrT5Ike/drDR9uLKidObNwZJnduHBBe1AGwzPPEE2cyH9cURJMhPIJLa/g5GTzJOvAAaI5cxTrNpcswZLnq4q0++5D7OQ3DXL33QezbZ7rIzQUazCvG4ivsW8f0ZtvWkuCb70VTaaCtTRXrqDy0ISxhGm0/nAYxcSgHIjGjEF5oZ4JQHg4miY7d3bkHJVwgwRbCVYnpiXtly4NxdEOJfiBB3BT+hPyGUTiPjSS2E2Co6IQCQvXBYeH8y3UJqGoBPuYBMfEIDt83ZLgo0eJ7rhD0V/KkXKI8HAK3LyRoqIk7zKew4dNqRwF+PJLXHhmXBHUwKsER0eL1SkZIcF6SvDGjVzT3jTBCsQ9muNkGWY4XbqoD+u0G6VLwxzoxx81J4Fr499/Cxu+rIBIICbLpscGOwaW1eBRuW3G+vWwWPRVKQS5XBQgydS3L8oyMkPKQpCLidFWtS9fxombwdatsJ49etTQy2+QYCvBlGAtqyAioueew1hUK3H5Mpri7HCdMANGgg8hdWh3YxwR6oKFleCJEx0ZuaRKgn0wMY4hIADBiSUkOCQEmRAHAgrLIMvIBDAj63xcuwZ+55TlsSJHnDwZapoIUlORF2UTG4iQHbp40Z7muFat+CbbiZLg6GgY4Ioot2x0strGW7KkGKlWggoJPnIE5Y1WL+2iePRRxNTff2/wAK1bW2PjGR9P1KCBmIfr2LGw+CkO2LQJpTVmmro8ce4cmjS06toVsHIlhHS7yv65TiA6mvo3P0JZWfmjmydNQl2wVhA0YwYUY1FbNXdcuQKfd8a/BHGDBFuJpCR41unVlk6cWOgpYhUWL4ZkxXwL/QVxcUQnTlBiSF0qW9b0WHQutGyJoJANsuLC9OnIJ9kIWfZPJZgIJRGWkOBRo3AfqPlk+yNYfYoHQUxNxaPtJHjpUqLGjalcqaveQm2VKpCj8/L4j3f8OFrF3Tcflc9oCX78EbZjeihfXowEt2tH9NNPUJN48eyzXsFMAc6ehToVH89/PCWokGCWSPA1CWYxyYwZ2sPzFHH0KD5XXBz+38wEt02boCiL3EDVquHGM2gR5ig2bya65RZrS45CQuBuonYNq+Cvv1ANqedCZxv27iU6f5469ClH5cu7zcvIy9M2Cjh+HLzFTGMhu74MlpgWWxKcl4ca+v79id56C/7SdlpQcmHGDL6OhJycwh3WKpw+jUeRDcMJhIQQVa1KiccDHVGBiQpFqV27OF8gy440xl2+DKHeiwR/8YUj0+q0YBkJLo5gfxAPguiURzAdP060fz9FK3HEKlWw2ImUT7GaWPeMlEUkWJYxnnf5cux76ekCPTzR0bjPeLMeRiwOKlTAGqhETBITUX9oUDEqACtp80jjbtiAj+jrCbo9r0TqAAAgAElEQVSSBFe8w4dRBSOElSvx2KMH/shxcYV7iyiMKKXMIUJ09K7TSE+HymJ1KUSpUkjNCZSEyDKaIRs1svZUhLBnD1H16hQUHUl9+yKuv3qVYJUWF4fxxkpISjKvpJvssyq2JPiXX4h++AGc8+WXURAeE4PGBJ+hVCm+1sxx44gaNrT2vU+fRhjohNQqihkzKGlvhu31wAyMBHPXBV+7BnZqMwn2GpnM0LChdT6TBhEbizXdcB0hw4gRuCGLE4KCQGw8CKJTI5MpLY2IiKJjSigrwURiNmknTuDR3XvaIhK8YgWsUe++G707UVFEdUsco5SvV+q/ePBgONjwqj6PPireFHj2LNKwe/Z4/455BJt1h+jQAZu6R+55wwaowE5boymhZ08I6RMnCiaZVq7EHlanDpT7pCQQYiMLw+bNIIkiX0hx8QqOjESt1GOPWXtcScIeLkCCT5/Gn8dqSiGEPXsKmvn694fg8/vvhBsiJwe1+Eo4ftx8jWRUFCzSricS7HKhVK5hQ3yHFy4gk92kCdHDD5ubMmoYskz00kvqf2x3MHN+4VyVBk6fVldAfAx59hxKPB3iGAmOjkZwyV0XzJQph0iwlzvEmjUmCvisgWUOEevWCafy/AJt23rVijqmBKemEpUtS+XKB1BamocAaoQEnzwJoun+eSpVIho2zJQzgixj3a1RA716P/5INOXxk3Qktwa9t5Qj+K9eHR7mvO41aWniTjfZ2UQTJihbsVlFghVw4gTuHVOlEMnJyuTdACSJaOpUHJJ7gnl2Ntai7t1xgNat4TCybx/RlCliJ3DqFAi0qFJaXJRgIii2doxmK1NGiAQfOIBHnynB166h7KVJEyKCuUdUVH5JBPNQXrPG+3WybH5QBhGu1XbtDAuAxZIEL1mC+/KVV3AdRkbii//hB0jwDz7og/6wCxew6uzYof9ctqvmK0CWgJFgP8TZsnUpKy/UMRJMJDg5zmES7KUEf/UV0auv2vreerCMBDtirGsDVq3yUrAdI8FpaUTly1OlSli/iux/9eoRLVsmRiZiY4kGDChqUVC+PHLjJgbprF8Pbjl+PE5n0CCil/r8Q31pIX20MlZ/EvH587jWeYOks2fFm9gqVUI9upJNWnIyvhMFP2ghXLwIJ56Vheo30z5MkeDnnuMbMMCJ224Dn33rLc4EQGAgSO/o0YU/u/NOoq5dwWhEylOys4keeggzfEUQHg75+pZbxF7nNB54ADaEdqBDByGz3/378egzJfjKFdgfdutGRBBl+/QBT8sODANBXb3a+3W5uXCz6tXL/DmsX284A1nsSLAsI9tVuzYah91Rrx4Gtq1Zgz4nR8Fjj8ZgspBbEY8/jkEdfojE0khpOkmCmzZFRo0rFVilCqLZYcNsPSe2EfmbOwRRIQk26DIDXL6MNLETI9YcQEoKAmw7xJ4iaNyYqFu3ghi2SAlm6dJEd90FEsuLxx4j+u4775/LsqlGp8mT8ad9+GG3H54/T8/T25R+OZg++0znAKmpePGWLXxvmJYmToIDA7G+Kinn6en4nVkfdUmCn63bIIANGyBEmRqVvHu3V7OdWUyZAn2Gaz8MCgLp9SxBufdeLAwiTde1aiHgMfKFTJhgbniC3cjKQsOmlSKWO779Ft8BJw4cgCOl2djOMMqUQfDmVh7Uv3/h9ETq3BkNOp5TRIOD0cjq407SYkeCV65Emvvll5XXsuHD8Qd45RU+UdYy8AzKYGAkwUqv4AED8M8PkRgMyxsnSXDDhtjzudft4GBToxd5oKoEh4X53B0iKgqbuCklmF3PxZEEv/giFg43ODUymSZMIJo1S5kEEyGqV0onqkFNsatcGe4IBrB9O8TyZ5/16EC/eJFupm3UoU02zZypU+HFCC0vechXyIWhNjDjvfesKdVhGSM3wrphAzK/hk1RsrOJDh7E3+iNNyxzR2jeHIr9zJkc282MGcrlGAMHYn+rV4//jU+cMD67+fJlawdQWI0dOxBM+olafeAA9jufVUKeOuUl4nTpgn1u3jyCav7774WuKgxpaSh7EXG+UcObb6JRwQCKFQlmKnD16vhelSBJGOZTqRL6MEw3+vBCRAmuXRs5KquaoXJyEBn4qcl4oozAoEZFk6bYAmjQAI+sXkoTCQmYcHPwoK3npEqC/cAiTZIscIjIzUXqi8nKxQmnT3tFzY5Mi3ODKgl+9VXIsDxwuRDRKPm8lixpuDFuyhQc1qsPqHp1on79aPyzeXT8uI69aVQULjQeEizLUI2NTJKqUkXd0cCKQDcwEEQ4v+M9LQ0uUKbEy3//BRkIDUVH/Zw55s8zH5MmgWO/847Gk44fR4Tzxx/ev4uI0Pe+d0dWFpTgSZOEz5WIwNibNvX5mqgKVm9u11jA8eO5y0iYM4RPm+IeeQQRoBtCQtBAu2gRUU61WhhG5NkQ++234EBW8JaUFMOzwosVCV67Fpm0F1/UXsuiotBndOwY0ZAh1gQaukhJ4TdiL18eH8IqU/CkJBTBLlhgzfEsRmKNjhQVJVOZinbnlQtRty7K/7QsCguQlASLMqtt6zyg2hhXsiQCGUcuVHWYJsH16mGD8JljuwlERiq6Q9hOgl0urBkzZ6qTYL0paO5IS8OFplTfrvAZebB3L2zIx41DyWYRdOtGNH8+3dU/jBo0APdWFQADA5G35SHBkgRlsm9f4fOlr75CaYEnHn5YeAiBKkqXLlCC2UA/U1ldpnw+8giI/zvvmJ+klY86dYj69QOvVq22cLdGU8K//xL17s03SW77dgTELVsaOt+C5jh/9WzctAk+eHZNxczI4FRvsEZduOAH9mj5TXHuuPdenNuaNQRvbveanOxsoq+/RnDltSEaAFvbDDSDFSsS/M47UEuK1KSpoEMHolmz0FMiUF5jHJMnY3HnzUmcOGHer5LBXz2C85F4Iohq1HA2VxMSgrWUiwQzD8NSpWw9p4wMlPB4GZqPHo0CZl/NWs1HbCyyxUazmMUakZFQJNwWUUfKIc6fh1NMYCBFRODaMEWCmT2aknJnkARPnQrON26c+nMCAoiefx77oZKYWADegRk5OcaVwPBw77qE7GyQY6uyPTVqFBSLb9iA/2zVysTxSpTAtIO6dVHrd/o0SIJFeOYZrD+qvsErVkDVZyk0T4SHo9Np/nz9NzOrlPq7TVrNmogq7IKAO4TPm+LOnUPDqQIJ7tYN8f077xCY8PPPF65jEydisfjoI2vqOCIjsXYbqKkvNiT42jUowQMG8DeqjB6NwHrKFDEBIDER0b0wGRAhUZ07E73wguAbqIDtmjZY/1iBpCM5VDM9Xmx8pgVo0IAzoGYk2GZ3iPR0rG9e93x0NBi7j+3tYmPBOwyXqs+YQdSsmf+N7uZBZCRu+PzN58oV/KdTHsFUoQJJEuJYRRJ8+TLfxshqYd09ghkMkOCMDHiyjxhBVLaswhNefrmgBGzwYCxBb7+tccBFi4g+/FD/jTdswP3IYznpiX37CicXMrAmZKvWyO3bC9wBNmwA3zMz9IoGDsT6GByMvaFNGzQbmZnY5oabb8a/WbMUEk7XrqGDiVmjKaFKFXxInmzjpk1YfBUvGA4wEuyvNmnvv89fnmQEERHIAnCMEva5PRrLYCg0QIaGwjX2jz+I1kXcgx+uXo10/rRpaODq2dOa8zDhg15sSPCOHdiYRDKtkgSPxHbtoB6rTRBzuXDfvvgiGmNjY6Ek33xzYapLFyNH8kXJDBUrWtcY58dKsCwTJZ4IpJqJa82PKxVEgwYo99XdR1hRvwNKsFc9MBFWsmnT7BlpKwDmymM4C5mQgEjfx4q2IdSpg26O/M4uxwZlsBKc/AawmJhCO9sCiHgFK02LY+jbl2joUKHTW7YMX4mnE08B0tMLFNuQECyDq1drDBmrW5dPXmffi6g7BBHU9TlzinbF2uQRnJGBZc10g7u74iJJqAOPixOc/a6Np58Gr1y61OMXCQl4f7VSCIZ+/dB7orVAuFwgOWYmqZUtC1Ljj0pwSor9qTK2SXA0Rx44gPJPn/Uis0ZKBSWYCEJk5cpEr3x5E8nlorE4HD+OchIrLeZiY1FH/V8uh1i3Do+ii01ICLhpVBS8v+++G37CmZlYI197DZt/+/aQ7StWxOPs2dhzOnRAbYtmUHr1KtGnn3LX8RCR9SQ4ONi+GiUTOHeOKDMrgGpSorWWcBxo0AAbuK6gkJsLGcdXJHjPHkRgDn8/njDtFZySUjydIYigSKxaVUBGHfUIJip438qVFQhk9+64Rni8Q+vWRcSvRB6HDkXTjQAWLkQgoGov7DFuvH9/cISFC1Wev3GjTodWPjy+FyEwFdw9aLBaKHjjDaInn6TNm7HvmiLB6enYoL79tvBnvXrhSzTy+VXQrx8qHry4R6NGWKj1uuvvvRePWmqwy4W98NFHTZ0rzZ7NV/foJGQZDV733Wfv+9SrB6NdDkLHmuJ8lkTs2hWZHRW1oGRJcKzNmyVa3uBZkOCBA7GeWTndtnNnlFwYsKAqViS4SRNjwkBMDJTe557Ddz94MI5Trx5KJerXh63m2bP4Gz3zDBSNQ4fQ4PrbbyDJqk4TrA5PZPxfpUrWkZ7770f9mB9Oi2OORDXDz1trCccBVielWxf82GOoGTSavuNERoZKDwArEvZxNzRbP65LEuwBdmvargRXrgyrm3yFUrEcomxZLH4hIfrHu/NOoi++UFbjc3NBdjjVkitXUCrap4+GuJ+VVaTIvWFDrKeqSbE//gAR1zuHtDS8qZF7kqm97jZp2dkwUrVKCd69m2j1atq6FafZtq2JY+3bh8XBU8SQZUsD46AgorFjMVfAKytaooS+c0ZsLPYaLbElKAhkuU0bcyc7cKDJImsbsHs3/ladOtn7PnfeyRUAMWcI4VIIKyd6NmiAGQUa3GP4cMTvryaOIFeJUJR1GfYStB7FggTn5IDEmrn2atRAg0dSEgj1yJHoZD5xAo2xQ4Z4q3RhYchKrV+P7Nxrr6kcXMQjmKFiRaTtrBidHBeHxckPUUCCK2Q5rnTWr49HEYHeTqgqwX5CgsPCcFkaJsFOe4pZiUOHsFIvW0ZEDloe33ILFMD86D4mBntEEdtNWUYDyfr1+se7dEk9Xfvxx3gfzhT7qlXImGkaNHgowZIEDrRunYoJRHQ0CLCncb4n0tJAtoyU1oSG4n3cleD778cf1aqJAvnuEDt3ggeYSiKxukrPlPKUKSDtFg7SeeQRnHoRNXjAAKJPPuE7wPffaw8VWr5cYF69Bs6cQSOeFfujVfjmGwQLgwb5+kyICLfI+fOCTXE//IDSL5ZaN4tt21BOo4ESJYj+9z+i+JPlaX77mXzBvCiSk/G5fvxR+KXFggTv2IF1wArnpYAAHGfWLDQr8ggDLVsi2PnwQ5W6YtaAIUKCe/fGTWVFfdHatboXoq/ASHCNmpLjFmDh4ciM6irBX31VdFSoTdAlwT6eGkdk0iatQwe/MZAXRkgIPng++2Xxmu1TmDzuCUWbNFYjytPdGxeHcbVKYBcfZ+35woV4iab40KWLF0vu3x88d/FiheczdUvPJu2uu8w1DletWhgF2wE3Etyihclj7d2LL9qzmbFePewPPLZknIiMhDL344/51/iVKyhvEBEosrPzpyB4YN8+7Gu8hFoLK1fiWO7Njb5Ebi6mBPbqZXvGkPbuxcKzYoXm04SdIf76q1CWnTVLbACPGoYMga+1DgYPxnm+tr0X5QTaYJVasiRqyA0IbcWCBButB7YSkyZh/R49WiGTd/UqarqUOrLVEBeHGj1TLcX5GDAAnfl+iMRELLyRq+ap7Ir2omFDDhK8eTO61m0Gc4fwgp8owUQmSfBXX2HoiA+Ql2eymdyjuzglBWKizUMEsTs0a1bwv6a8gl0uPEet7lWggzo3F0Jcz546S9TTT4OguyEuDvusEk/iJsH33IPhDUbx7beFY+RlGf/98svGj+eJ0qUp5VIYJSdjKpsp7N0LFdgzpczy3G7jma3AY49BYJ0/n2AZ53KJ5dQ/+QR7jjtJc7lQBxwZiUFQZpHvECEfPkInT4Knv/kmshMWGWaI4fffkQ5+8EH73yskpFDm1YCQM0RyMoKKSpXQGblokbpTgAg4S+ACA5HYOHgQa4rlQ8xYfbGBRlKTQ9Sdwbp1cG2wsEdAGJGR8HoeOpTo88896v4ffxz/RHD1KtHff8May0wK+do11Pn5qT1aYqJYqbTVaNAAfRoul0ZmNTPT9qY4lwuZakUS3LQpItioKFvPgQexsRAcc3OVx5L7K+bMwS3YuTOECeGAOTwcJCSfIDo2Mjk1tcg4UVMkOC0N64HadC8BErxxI5YV3VkVsuxF3iQJavCMGdiTilzWvCQ4KQnlEJ6jVnnRuDEet20DAU5ORme0VahalXZV6kF03AIl+K67lO/92rURgTDJzyI0aACReeFCojFR+UxKJKf+2GO44UaNwrmFh4MYb92K4EOjZjgxkejoUdxfp0/D+a9CBWyBMTEg5wcPEv27oxn9S7/SzkHt6bSHM2CFCigZHjrUfOkxN7p0QdTQvbv978U2CR1LxP378VTdXs/cXBT2X7wIwad2bdxXrJfJKLKy8AfkXCh79yb67DNcPrfcAi5u2XDRwEB8Gf9Fi7ScHNiUKabkHE6vDxmCUooXXuAbeqSJM2fQbbd8ufnjEPmlPRoR9rKaNQnprV69Cj15HUKDBrhXNe93B0gwK9VUbIwrUQILiRVZAZOIjcVt5d5TxIUtW7D5bdhgy3npYdUq8Ij9+3GPdukiWJoYEFDER9ex8ua0tCI1F+w2VrRJ0yPBWh7BRIUXH4dasnAhSmt19/w6dRTLL+69F3vvr796/KJhQ3y5vXtrH7dFC2t81LOykAo6ccJaoWDsWNo5ajYRFRHyjeGllxTmURPSEPXqWU6CiRDcrFtHdGHHEUS7ItNLQ0LAZk6eRBbg1Cm423Ttik1SBW+/jfWlSxc87bnnUCv6+ONwrmjXDsHro48Sffh1KTou1aQ7qhyg994Dv75wATy0Y0e8fdu2aGh3BCEhOEkn1mimaurIpQcOQAXW7Ye/dAnnPm8eBBdJQumm2WFdBhonRoyA0UByMv5+W7aYO4UiMDgMyBISLElSd0mSDkqSdFiSpBetOCYDqwf2IsF//IEvf9Qox8z5JQn9KZcueYxFHzQIBtoiYBeOWccEf/cITswnwSkpCP18YJNGpFMSkZXliD0akYoSnJmJsYZs0pIPwSLzo0cFX3jmDNJ3XnN17Ycs46u7+26c98yZyDDfe69gyX2/fgW5RUdGJhOBBLuluMqVA/dRVIJTUrRzwVrT4ohAjt94Q30qWD5kGdnSO+/kuC2yshSJQevWOA2vkojgYKx9WmmG3FxcS1ak/m6/HYFZ3bqW16vv3AlRTfGe5kVGhrYf7Msvo4vbYvTti2B36clm+EOLkrt27VD69P77KNd48EE0XiowMlkmeuUVmIIMGIAWln//BV/JyQEh+vtv9KSuWIF7+PJlifY0vI++qTeFxo4FYYqMxC36889IoNx+O1zUVq2y6EtRw/z52PA5hldYgtBQ3B86SvCBA5wCflQUghT3iLZaNfNKMPPyFkyZde4M8hsRgaBnwgSUmZtGz56KQzt0IcuyqX9EFEhER4ioFhGVIKLdRNRQ6zUtW7aUefHWW7JMJMupqfk/cLlk+d13ZTkgQJYrVMAvx4/nPp4VeOABWS5TRpYzM2VZzsuT5RIljJ1DeLgsP/mkuZNZsADfwd9/mzuODTh7Fqc2c6YsyytX4n/+/NPRc0hLw9vOmKHxpD59ZLlvX1vPY88enMcvvyj8Mj0dv3znHVvPgQdHjuBUPvtM8IUff4wXnjply3lpgZ3zxx8X/uzDD/Gzo0fFj+dyyXJYmCw/84x156iIvDxZDgyU5VdeKfLjatVk+cEHPZ57/jz+uVzqx9u7V5Zfew3PM4G//sJ39+WXHE+OjJTlceMUf/XUU7IcEiLLGRkev5g6VZZ//ln9mGfO4AQ++ID3lJ3HmjVybMhJeeDdl8wdZ+pUfNb0dGvOixN5ebJcpYrJZe/iRVnu3RuLm8b7PP44PuLIkbKcmytw/G3bZDkhQfXX6emy3KQJttFduwSOK4r27WW5QQPte89qPPqoLP/wg+qvU1M59jX3Jycl4Y/B8Mwzstyli7lzPH9eln/91Y2cieHsWXApIny9mzebOx09ENEOWYGPWqEEtyGiw7IsH5Vl+RoR/UhEmrkuFkDwYN06iDMFosDFizBb79UL3YAvv4z/dhCPPIIAfv58woe5dk3MGYLBCq/gDh2QX6hXz9xxbECBPVpNKowWHVaCo6PxT9MmbeFCvnGgJsCyNP7uDlGtGioDhJvj2N/VB4X7mzbh0X1IFXOSMeIEdPky/hS2K8E5OWj+8khzKQ7MiIrCP63cZ+PGUHq1asuTk3UX4IULUWLHtax6WKS5o39/KDz5rnOF+PRTjWkaZG5QhkO4cCabjmVXoeaxJqc87t0LhV5NTs7ORl2zyKbJgYAAlImuXGli2QkPR8pAZVoYEUobPvoITkyffCJoD9umTeEIZQWUKQPlODISw+6stL8twOnTqMccMsRZH/45czSHcgg1xX38MRpz3LNI77xjXkKPioL6avA+LVcOJeTLl2PNvfVWLF9OwwoSXIWI3HX1k/k/U8W5c3wHVqwHLlMGuc8FC3ATTp6M2lqiQr9Fm3Hbbbg3P/uMCtmCgUkllkyNi47mzFs6jyIkmDEKhwdmECH7q+sQYTM0yyGCg7E7+IE7RHAwiLAwCXbMTsEbmzcjteaeGmzYEKfDY61bgBEjiNq0cc4jOCQE47LvuKPIjxUHZpw7h4B/xw714x0/ru+/26SJRy1XUcgy0U8/Yc3VHUCZmwsBQIUEt2uHz+Ll7Fa+vHZTRTEgwfGncXG0qKHzfeth3z5NEknHj2Ncn1ckYR59mhyhK1eIfp9hrfsEw5YtmNsyfjwuc2EOefQoGPTly6pPqVIFRPjqVQRtlqTV3cEWECca4jyhUcvFSLBOZROQnIzF0Op65vh4lDiatHnt0QNl78xtbfZsgwd69lnOL6QorCDBSpe217ciSdJISZJ2SJK0IyuLr7zm779RLtmpE2Gne+wxLPJVq3q3+i9ZgnqQrVsNfQgRSBL2yw0biA5tyl+wb7pJ/EBvvYUJHmawbh3CeT9EERJcvjwKTn0wKYaRYNV79YEHEC3bCE0SLElQg/2ABBMZtElr08ZnY043bQLhcr+0JAlqsLASnJzs3LS4q1dxYXhcmIok2OXCeqHVSTJ0qL6dg04H9bZtsJrT6G8qek7PPosvXwEBARCzli3z4OZ6JPimm+BjamBDcwo7jyNCaF7ZRFCfk4OFSYsE16qFGlEbmuM6ltxOUXSeFv6lqVkZxrRpsNR97TWDIuquXag7PnxY82mNGqFBbt8+DMCyFOvWIcI23f0oiG7dUDyrgkOHoHtxubKePu3dFLp/P2rkzXSmff459k4LFPLwcKIvv4RRypgxSG4LQ5YNdHRbQ4JPEpF7J0ZVIvLsbSZZlufIstxKluVWRER7Vumndwr8gTvI6KBdvFh92shtt+GP4RAhfOghbLpfbKyDNKQRJbh9e5PzNgktt1b6X1qIxETsuZGRhC/r6FE0MjqMhg2xCavuu0uXWmpIrwRGghXdIYj8igTXqmWABD/8sA07kD7S07H5KfU8deoEdxLuNGl+d7FjJPi33/CeHjYWMTEQfosIBeXKQXHVMkM+eVJ/V9TpoJ47t7ARXhclSsA30kPJdsfQoeB6v/zi9kM9Ely9OtG4cX49fXDn4TJUjY5T+UATSnBCAv7IWiQ4MBBDP2wgwcGH9lNPaRn9ujHScu/dAwewXY8da9zlrmBP5biB774b/elvvmnxUh4QgIM7Ld6UKKHpDnHoEAw9uPhncrI3CQ4JAQE+dMj4OXJ6BPMiKAhDXBo3RgOlcGI/MhJZA8GL2QoS/BcR1ZEkKVaSpBJEdB8RLdF90b1TUfei4eywZg2+kArxv0N2ffVV9bR/ZCRcy4Xyn8YRE4NymK+2NaCcnXsRrYsiKQm5QjOjIU+f9ktnCCJ8PF96BDMwQUm1LjgzUzWlaxU0lWAisM4PPrD1HHhRqxZKfIVqBS3PQ/Jh2zYIAO71wAysLph7SYiMJMrMpJRkWC/aXg7B0rwejhrsdi5SPh8QgMVwzx7lY7lcpklwTg5KIe65h9PxIC8PzgYaVpXNmkGp+/Zbtx9GR+Mc1FIzSUm+r1/Swc6Dpah5ZKI5N5ToaIwh1TO1btTIFhJMBw5Q38rb6cIFyXJnw//7PyypTzxh4iACJJgIyYOwMJhpWGYY9dFHGBXtNCIiNN0hGAnmghIJZuuEGYcIi0kwEW6npUsROPXsKdhCxHohBG3STJNgWZZziegJIvqNiP4hop9lWda8Y4MCif6K6gpVsHNnxT/E1aswbO/SWYbSWbOmx4QKBXTqhOjm6lWDn0YMI0bgOjBcrvX77whfzTSL+TEJLrBHY3j1VWcm7nhA0ybt2jVEjjbXVKenI7hXjZVKlfJJqYgSatXCo5AaXK6cNb6ugti0CfxQKaHSqBHSsdwkOH8RPZOUTQEB4Ci2gpFgD6lM1Ss4Lo5o925l8nj2LK5lEyT4jz8g0HKVQhBhqkFERH6HsDIkCRnTTZvcbPcmTQJ5VpOxpk0r7PPwQ2RmEh08EkQtnroN+VujqFABJrl6TdWNG2OP1LHMEsb+/dSt5VkqWVK7T1EUJ04go/DIIybvobJlcW9wLkQVKyIxsXEjapFNwyHrVUVERKgqwTk5+Erq1uU81vTpRMOGFf1ZaCiuPzNewamptigFVauCCKelCQ6NFBgG5A5LfIJlWV4uy3JdWZZvkmV5st7zw0oR/VWuOzrLdu70/gNRIZftErYFz5k4Ub+wu2NHKFLbtxv9KELo0YMoJjiNPlcX+BQAACAASURBVH8xwdgBzHoF5+XhQvRDElzEI5jh+HGfDFOoWhVrqSIJZsM7HPAJ1lTXZsyA6uAHYOXt3GOIMzPxr2xZ285JDZs2gRsqpVwDAgTrguPiiB59lE6nBFD58g7EJDok2KsuOC4O97xSZ7GeRzDDo4+qlk/NnYs4oEcPnfNmYKkC5m6iAtZYXzDYoEQJjfGN5OWd7G9gcYjpSXFHjqgr++4YNAgXsZFsoxpkmeiuuyisbzfq1g0mDyb7mwowYwYen3nG5IEkCQ0KArYPw4dDC3v+eQuMiMaMQTBm1RcjgjJlVIOeY8ewDHArwfffDxcpT1Svbl4Jdhv0YyVatEBF1A8/CEwNb9AAF4BayawKfDIxrlQpogMHJMq8bwTkhy+/9HrO6tXYhDoOrgKFiUee6NgR5QVGDJMNICj3Kj2c8yktP3ST7jAnRRiwDTtzBgLy228TjR5+lXa4mvslCb5wAWJPERLMLOEcXlQkCfeHYjlETg7s5WzOfeuS4Pnzbbdp4wVTgrkHZjhmp1AUubkoh1AqhWDo2BGbBpfg0aED0Zw59G9iKL/KYgYqAZgqCR45EjeWkrxWtSraqlu10n7PHj2wKXrg8mUQoYEDBZrIGQnWKSWqVg3E5Lvv8m/9gwchE6oVb3pM0fM3sBLuFhN6QmUziqlT0QClh9hYXMhWdvdLEqbKDBtGvXujkmb3bvOHPXcOVY6DB1tUCrdkiUctjTYkCbfBlSu4xEyJuWvXQl100hqN4bbbUEuiUGqUkK+5ca1RFy5AKVBy2OjY0VhDP8OaNRZEOuoYPx7lEa+/zvmCVq3QrKcnBHjAZyTY5cpfTNq2RUTicuHqza+PXb00i9o0vEQRTWpgseCRZcqUQUW1aveRxUhMpOH0ObnkAGPjGwWU4Ly8fOU5Buvm+PFEX/wYRneEb6P4+up+gr5CEWcIhooVodRbndbjgKpNWoUK2IwHD7b1/TMydC5LP2qMK1cO2ThuJZgFcQ6T4D17wCO1SDCzV+QtiZDzXLR/v0yNG5s+PX107IjSAI+1rUIFCKVeJDg4WH1DrlgRJFmvHOLcOdiseWyuixaB03KXQhBxk2AilEQkJOQn6S5exGaVoJJB83MleOdOnF7lpC3mzGnPnuWvF1i2DOqHVbh8uWCv7dEDl9XSpeYP+8EHuCzGjzd/LCLCBsLGCHOibl2IRMuWwUHVEE6fRrDGGgucxl13wctXgfewXjYuJXjzZqjZSjXl06eb60Np1swcidZB2bLg2AsWwCmMC7Ks2aOgBJ+QYLZm/vWX2w/XroUFWu/elNGmK23fHUJdMgwUKiUlIcJ1olHn6FG6iY5Sm4aX6KefDLyekQYOI/Tp02F88cIL+KrOniVKSJAoIjKQ7ryvLB08aOD9bYQiCWbd3g4PzCACCU5O1h3Hbht0lWA/IsGSBDVYWAl2uJufDcnQmobbpAlS/Fwk+MABSg6qTunpEp8JvVl07Ig6eQ8EBmJp8CLBRBh/+sor3j/fuJHvDzZ3LmYae9TNzZ0LLUIroPCCAAnu3x/Z/G+/pUKCq+YQUQxIcIsWRFJ4aU0PW12IfM7XXwezswrTpmFBysmhihVxSZglwS4XKhx79OAc4sCDPXvgDCW4cD/xBAKv11/HMAZhsAXDY5CNY5BlVaeDhASsabo+3kSFjQWejXFmkZyM6SeKi5R1ePrpQps9rnMKDkaALQCfkGBmyF/E971LF/ibrFhB65PrkIsCqcuse8QPHh+P8KEIw7YJ+ZvOoAEy7dplwG2kZElMAxk+XPNpe/bgIujfH1ahzMi+espftOqhb0mSZLrjDvB/f4EiCa5VC7usYKRmBdggBa8MbHw8Uk8eNlVWIz2dgwT7wcQ4hptuElCCa9VCEZ7DViCbN0P41OorCgjAn5erLjgigvYRdm9HlOAzZ1SzQIpewURIZyh1MQ0bxpeaVGgeSUlBVdqQIdqlul6oV49owgSuDTYigqh3b1gg5ZTJVz/VSPDs2bproq+QnQ1RrUULQi23GRIsogQ3bmytQ8SBA7hx8ofb9OwJld7MYLoNG1BWYWnv85EjyARzL0YAK4uIi8N1LfhykODwcDhO+QK//or3V6gZP3QIaje3PRqRcpZuzRoQMSNDxnbvJho92qYxfYWIiIDwt2JFoeihijJlwC180RhnBK1aKfDUV14hSkqi1f0+pJIlidr1MFDW0KEDrg4j81JFERNDdM89NHAEbHIMqcG33qqZRs7Ohtdm2bKY51Dkwl+5kuq++SD9viyXLl9GHHHhgoFzsAGJibiAi5QAtGsH0u8+2sshqNqkpaZCRbNZhdVVgsPCfNuN7AHmFcx1SnFx8ERyuDFu0yZtFZihY0dsgro+6pGRtI/Afh1Rgh9/XNVjV5UEx8UhTevugHP8OALy22/Xf08FEvz559g7hEohiPAlTZzIrWYOHYpqjGXrSkEWPntW+Yl9+2L4ih9i3z6IcwUkmNV1G4GIEtyoES4Iqxb4/fuLrMM9e0J8XLHC+CG/+w5fyT0GtCtVCNqkuSMsDKl0ScIldemSwIs7dwYfCQoSfl9LwEpAFBRwIXu006dxjSnVk4eFYVE0op452AcyZgze5tVXddqJwsLw9youJLh1awyC8bqnq1en1Wskat9euMkPKFsWjXFO+AXfey/R4sVUtRrO1xAJ/v13Dyf5ovjf/xAMfvqpgmiQnExUrhzFtQqmX3/FRs86c30N5hHsi54CJcTGYh3wqgv2F3eIL780Z1xuMW66CY5bXA2faWmCO4x5nDyJxmae9D13XXCpUrRfakyVSl203x6NCCqiyiQBVRLctCkiE3dVcO1aPBogwSkpENp69jRA/DMyhBpd77wT4uP/vS2RXK26sql9RgZkab3xzz4CSxg1b06otTTThP3VV/DZ5AH741ihBmdnY/N1+4M3awZB32hJxNWrRPPmgWxaarluggQTYd3/4Qd8bXXqIIPPZcs/YIBPLB8LwEiwR//MlStY97gbd5U8ghlYCs2IQwRLGThAgkuVgqHNunXQq1QhSagTEQwUfUqCiTxKIggL//79mkOI9NGxI2QintnMZuCW1r/vPpw3t50Hw8cfE73xhuKvNm+GwDZiBOaie8HNI7h9e3Dy997zDzXYyx6NCJtl8+ao6XAYQUFYOHxBgvPywHc0G+P8JVrIh5BDxKhRqqNz7QLjAjzTTJs2RQCiS4IlifYFxlGjSK+Bl/ZAhwSnpCjwxLg4PLq38q9di/oonhoODxL82mvYWN95R/DciTDoISaGe50NDgav2LKFaN3sg+jd8MTu3WDLNpcnGcXOnbiWatUifGnTphk/WK9e/D5rVpLgQ4ewKLkpwZKEQOi334xtm8uXI3554AHzp1cEkZEghCbS7t26gQ7UqYMMfuPGRF9/DcK/YAFKdL7+GkLTBx8QzXjlHK35IcUnzmgFUCHBbII0txL8+uvK9xkRCGxQkDGv4JQURDs2i0cMjzyCS+Hjj3WeqDMRUwk+LYcg8i6JWLMGj126mDh4p064k1VHhFkAWcbGM3EiEaFeNyDAgBpcoYJqIdZLL2GPUVV3PQZlTJiAe+bddwXPwWIoegQTYaVNTVXvCrcZDRsqXBKsDtfGm5mtY5pK8OLFin7ZvoKQV7ANk4P0wMg5T3NyYCBfXbDLRbRfakyN4xwaWqJDgmVZYWmoVQvEyb14d906rHk8Bb01a6I7rXVrio9HI9PYsQLKkjuuXMF7Clh3DR+O/sk331R5AqsT9tPGuF27EMebjlkvXIB9gZLnsxKqVQMD4lWOtVC+PNGUKUQ331zkx3ffjYSOptqmgrlzsQR07mz+9IpAknDNmmzAuvlm1CwvWQLeN2wYYpB774Vj4LBhMFcZO5bo2SnlqMvginRzW5mWLPFRlZpKOYSQPRoRUcuW6hmiwEA0VRhRgh1e88PCUGs+f75O3fqjjxJ17y50bJ+R4MhIRDOeJHj1aijaPAqPKnr0QDRg6iA6SEvDBZpfB1mxIq61H38UtMGtWBG1cR7NYtu346Z97jkNhxgPEty0KdJRs2YJB0OWIj0dxM+LBBMVSlw+QIMGqHMtUv4bGQlSYXjAvT50RyYToTnh66/NjdC2ENWqYY3kUoLPnHGcBB85gnIpXovsjh2xgXhNYXNDUhJRVk4JatyXV2YxCR0STKSw9wcGwi/IPWDavh01DTyIiCB64AGSq1WnZ54R6LxWQlYWGjoFGGFoKHoo16wh2nyXAhNmO5wfkuDcXAjVBeLthAmFyrwo9uyB9MprzhsQgIjPihrVSpWgsMTGFvlxly64p0RLIi5cwGvuu8+mEtotW+D/bxKSBOK7ezf8xbdvx3//809hz0BqKtG5erfQ7EbvUdpZiXr3Bo1wos++CCIjUQTbsmWRHwvZo+XlQZXTmrg3aJCxqS/vv0+0apX460xg1Chsj199pfGk558neughoeP6jAQToSTC/eKSZXyvt99uclpTaKitpIaICiUyljcmXE+HD0Mt4EaFCgg1PRSB6dNBmjQD/337vPKYEyaAdL33nsA5WAxFZwgGNjDDB2jQANdYkdLbgQNBKgS9KEXAAhJddwgiv3GICA5GTbc/K8G1avG7GfDUBbNSpkbVHPKxfv111VZ6VRKshAoViGrX5n/fP/+kJR+forVrkcjKnxYtjqwsQwWgo0YRlQu9TJN/VxjswZRgR4qyxfDvv6h9LeAMmZkGbAfyYUTxXrFC0VJPGBs2KCrQpUpByV22TOxw8+cj8Wp5KQRDWJil5WJBQei7bN0awlH9+lhLqlQhKl8ig8oe2kojB2XQoUNImmRkEHXtKuBVawVKlICHuEeZWUICttDwcI5jpKYiMtHqdpw61djAi6ioItzHCTRsiIze7Nka6nxOjnA/gU9JcKtWaLw5fbrQP/3ECZOlEAwrVqAYyK66YCaRuV0I/frhBvvxR4HjKHgFHz2KheWxx3Qu9ogIr82iWTNYEc2c6TtPXF0SbLO3oBpYCZzi0AwbwaUEMzLhJ17BRJxewZcvgww47BF85IjYGtysGW4XLhI81uqcrgoeegi7qwJYL4virbJ4MdaNkydxowv6Yl7pNZCeezmYGjYEITUMgyS4VCmip9vvoOV53Wnn5qtFf5mWhhvFyuloFqFIUxxRoTuEkXy5EbK/dSv6Ka5e1X+uGrKywHRV6kR79gTREunRnTsX6XkP0dI6bN4Mhu1Es8uOHVBK2raloCC87caN4Hxdu1ozVY8b58555f6FnCF4PYJzc8WnuE6dWtiQ6yBGjcKetHq1yhPGji20guKEz5VgItx45cujnCM2Fil907h2Dc4LW7ZYcDAFMHbgxvTKlcON8tNPAtdUt244Vr16BT96910o4ePGabzu5El0mShMyZgwAerj++9znoPF0CTBt9wCqd8HXQd160I5LFIXPGUKX1e9CTASrDsxjsivSPBNN3GQYElC/Y2pTlYxyDLOS2RYUWAg3BO16oL37SOqXvocRVwyMgNdEC4XPKpVakJZbKxIgsuVw+a4ezdSRn/8wf22mZlEPa/OoyMZ0fTuuybT1/ffb1iZfKJnIpWhdJrypgeBHDsWNgN+iJ07cZsWLNUs22gke2OEBNerh+uGdUcZAZsW6FEPzHD33XjkLYk4cQL31JAhNvb2pqaCaXNP7zGBbdvw6GbRV706yndKlcIyZ6VdsyZuvRVTP9zAPIK5wBYPLRL8zTeogRERpvLyYB/HGrgcxL334pb55BOVJ7DGOAF+4VMS3KIF1vOzZ+EFt2kT7m/eOj9N3H47VvjffrPgYApo0QJpBEZe8jF4MJotVSMVT0REgPnnm5afOwdhZ8gQnQDu0CFYRyhcvC1aoPZpxgzfZNcTE6FgK6ZZhw/HguYDN4SQEKiHRZTgo0dttybjUoIjInAz+ElNMBG+q7NndaZclyqFaM02GcgbaWkQoEWzcR07ImZUq8bZv5+ocYVUZwrqL1+GpKhS4FaiBBZ7xb2pSRM8zpsHtYcziLt0CdNY111tS980m6kmQvOje3e0bRtAmRqRNJbep/krwoqWj9Wt62hAJYJdu5BRKCjVYyTYyMCMtDRs2PnrPhcY+zYzHnTrVjyqkOAaNXB58Qo5X3+NR1unzpu0SRPCww9jUIWHYhEbC84XHIxMtSODqaKiiqxFGRmIB4SVYC1CVa4cAisRh4hz5/Aah0vgiLCHP/wwkmGK/R2RkRBABcQkn5LgsDB8kMREELZbbhGcWKSFiAjU01g5b90dd9+t6CvUvz9U7VmzOI+TkwObnQ0biAgRTlYW0bPP6rxOx6z6+eeRPfrhB87zsBD+5hHsjgYNPEhwZqYjHsFEOiS4Xz8wTkNt+vaAKa2aAszZs/hCHSTvIs4Q7ujYEY9KJRG5ufgYjaqkI91sJuXMA0acNHoXYmJUFvoyZUAMGIHmIMEXL4KzbtpENLfhFHqg9CLhU/bCsWOcRtIKiImhZ2MXUvmoHHriCTfCtXixt2+mH8DlAgku0kNUrx4aQYxsWk89hc8qArY2mCHBW7agflxDgR41Ck1jehO6MjOxz3XvLlaSLgxGgrUavKxCTAxS0wqoUwfiVlYWRColm2tL4eF5K+wMwSJorVI1I17BjHtUqMD/GgsxciTE6C++UPglU94EhAyfkmAiKB62kSXmN6k2ntMMTp1SrAULDUUt77JlnE5ggYFIKf72G129ihKG7t05LD+ZnKVCgtu3R0T/wQfOVx4o2qMx7NyJC3XlSgfPqBANG0L4LVjAHCDBXI1xfgimtGr2/syfjy/VzLxVQSj0pHKBmYAokeDDhyEgNI7NT53YrQZzkOBatTT4DnMlqFxZVxq6ehVryvbtUPjuq7fLms93//3GLbvatqXIoztp6vRg2rwZDUhEhMVzzhzz52YxjhyBkl5kim7nzmgAMUIGbroJXT4iCA+HbYvR/UyWoQTreHo//DA4sp4F8pw5iIENu4vwIjIS/+xWgs+cQUe5RmlAgwbwqt20ScPmzyp4eN4Kk+BRo3CiWtmGatXwKKIEOzgtTgm1ayNZNGeOl6mW4kRMPficBNuKu+7Ct8XrxciLq1dx8ajcBaNHoxKDqyY3IADScUoKff45rq/nnuN4XUoKLm6V1m5JQolJfLx9ZdFq0CTB7Mb2oUNETo4bscvMtHjEkTcyMhAcafb6HDoENdiPhgRwDczwgaUVOx8PhyddBAUhOFSqC2ZNcY27V0XzUWioqXPUBQcJbt4cl4Vitr1fPzzeeaemiiDLWAe2bAFfu/deQj2falGdAAw2xrlj2DCitm2Jxo8nykiXwar80B6N3ZZG3KQUMX9+YWmCCI4cUR9+wINVq4hefFHzKWFhKM1eulS9/vXqVaK330YSgmd0uWk0aqTAeCzGhg1ETz6p7aNIUIGHDoV5gxFPZW54KMGHDuFW586AVaqk/8cpUwbBlYgS7OC0ODU88ghO2UvQaNYMvCzfupYH/20S3KIFyiHq17f2uImJ2F1UpKiYGGTJvvyS06GhQgW6lHyJJk5EypbLcDw9HRehxgY4ZAiu8Q8/5DieRUhPx2dWJcHsxvEhCSZyK4lo2lS1Ps4q6I5MJgLTWbjQmHG5TShTBiVjmkpwaioCGwe7+Y8cgQDqUY7PhU6d8Lf3FK7378et1KBPPZAEzS5GC8BJgmUZlrJeePBB/FIxJ1iITz/FU159NZ8AE6F+m2fetB7MkuDu3Sngow/ogw/w95j4cjZSNH5IgnftguZQZLT033/jOjHSdzJuHP44ohCpIfaEJOEDuE2KU8OYMfjTvv228u+//BKCqRWObVz480+OcWEmsW0bgl+OUdgffoggfMgQG00rBgwoIrQlJKB6gTs+//Zb/TGZkoTayw4d+M/r/vvxoW2tgdFGr15YOr//3uMX9eohyBdwK/pvk2CGc+esrQlQsEfzxJNPYp/78kuO41WoQNP3dKW0NPS6cZWHfPKJbpdw6dJQWn75xbn5FJrOEEQoPQgP95lNmhcJnjnT4MxYfmRkcHAqP3SHIOKwSUtNdbw27MgR8XpgBrW64H37cMySQTmoPdTsBrQAdeuiq6gIqyoKlnrX9B3XWCy2b4ei160b0f/+5/aLI0cwfMCsssaGZRhFfDzRnj3UqhWcgd6bE0L7qaFfkuCdO1FeViTWK1ECN/elS2IHk/MVbyNeyBs3ombVSEnEzz9z+3eWKwe1be5cGBG5IycHDlnt2tlurOMstm2DcMYRaISHo9/m9GnUqNpSctipE8qD8iFkj0aE9Mp33+k/7/XX3SJkDkgSNjRbJqPwISwMybB58zzaN/LyUNpxoxzCDYsWYVHdu9e6Y3KQ4FatILa8957+XnM6vC5NTx5MAwcWcWbRR0iI7lMefxyLlhHRwQh0STARpHIfKcHh4ZgUaedEbU9wKcF+SoJvuolDCXaYBLNBGUbQsiXiMCUS3LgxFRoQi04MEEWlSlBzNRSLqlXBk4xUyKSlYV+rXBlqSZHhQ8uWIVVl1kjcrBJcvnwBmZs8mSgiLJfG0vskR/sXCZZl/A2K1AMTGXeHuHQJBehGyH5mJv5+//4r/trp04XKYJ5+Gp/93XeL/vy778AzXn3Vwebn339HBGt1aSNDTg6UfYENuHVrlETMm2eTq9+lS0gDXblSMOSJux44NxdrM4/VVl6ed6SjhS++0C8YdwBDhmAJW77c7Yfnz6Mrn4f85+O/T4JbtcKdbKVLxNGjIC06NTFPPglRSc9zcWKZGXQtsCRNnixwDmPGoMtFB3Xrwrv4k08c6GYlRftkbwwdWjjCywco4hDRqhWMlW1EeroACfaTiXEMtWrB7UP12nn5ZaSfHMKVKyjZM6oEBwcjOHWvC87ORqqxcWMy1FhhCKdOoWlFY5iPJIF4CU2gzMdjj0FsXLBAoTyOfUazedz33sNEKqOIji4gwdHRRJPfcNFa6kw/J7c3d14W48QJcC+vemA2yUiUBJuZisdK+0QdIq5cwYWk0xTnjpo1ESvNno2k4z//4JJ96y18Fz16iJ2CKVy5gppduxwiEhJwL7ZtK/Sy555DYP3EE8KDyvTxxx9ogD14kM6eBeHjVoJTU9G4rzcogwjp52rVEGDxYN48pJd9jM6dQcHmznX7IdtobyjBbqhaFTVQVvoF9+mDFLpOGNy3L66tt97CRquEf/8l+uybEjR6tMRfYuNyoTUyPp7r6U88gT1X1JHHCPbvhzBYrpzGk159Fd2DPkKDBvjeXS5CeC2azhQElxIcFoYI1kx62QbcdFNhhkkRXbvCesAhsD3QzMTOTp1wnZ4+XWiNlpeXX5ngFAlesABdejrXXvPmUKlFBl/+8w8OP368gnpJZN1nfPBBIVLlBTclmIho5NgQat6c6NnXwgxZ79oF1aY4o0rw2bN4NKIEs6JQURK8cycudsH+h/Hj8fHq1ME22r49+OLrrztsgWm3TVrDhrgf7rlH6GVBQUSffYYgSdfWVBRu9ykTbdxmammDd1ockbgPc2qqT5viGIKCEIMvXeq2lJUogb1UIMD/75NgIhTFbdxoncp2221cJC4oCGm+bdtQv+JpPSrL6MEJC82j17Je4i8RuHABCxpn8ffdd4NfOdEgt3+/ZpljIXijThvQsCHe/uQJ2TGfYF0SHB6ORWj4cFvPRRSaDhF5eeg2d7C+m5VmGFWCiQqTEJUrQxlmRLFxYwLBCA31C4s0IpxbTo5Y+c706YilPIZNFcKAWuKF3FxYTpixxouLK7KrB27dRB90XUynTpFYVsxm7NoFEx+vfqmQENyvun6WHmjaFGlukWYkhoAAMFLRcgidIRlqiIuD6PfRR6iB/e03BFmCXNE8mEJk52Cj8HBD5T3NmiFY+OoroeGN+mDOTxcuFOhdzBlRFzyDMhiYzQ5vgJGS4jOPYE8MGQKBYP58tx96WMvp4fohwdnZ1viZXLmCmdmcZvpDhyKdtGIFFg7Gw/fuhZy/eDHRi/cepvKfT+WPxAR9+gIDkR5du9beWlhZxvF1SfD06dj8fST3sOa4A7tzIAc7QILtNhuwC4xsKtYFnzsHJXjBAsfOh6McXxc334xG80mT8O+NN/D/BddtZKSNLd/5uHwZUbKOqwZTH3nrgpOT0RQ+fLiG0MhIsJma4HPnYL9kphjylVeIliwBoZ47l+ihh+iWz4bTQw8h0WbzIEdu7NyJKgQvfiRJGO+pMlxBFSVLossuIsLYCbVrJ/7ahASQHQMKXv/+0Hzuuw+OfFabLXGhVCmkVY3UQvOAdQEaxIQJKD0cOdJCfceDBFeoIDBNt3t3LNpsuqQWRJRgWfYbJZgI1Yx16nj86Twm7enh+iDBt90G014O6xNdbNoE9qpkNqqCkSNRS75qFVTZJ5+EwrNnDyLsF8bkk0FeVUVnUIYSRoyAcGGnGnziBLK7uiSY7c5OWVZ4gJHg/bvzC11t9AnOyUHgwzUoo18/TnNp51C5MniaohLsA7/II0cQP5kxEJAkBIWvvop/r72G/y9I706davMcWAIJLlVKN6dcuzY+L29dMGvEfeYZjSfVrUu0ebO5unwWzZu9d77/HrvYAw9Agf/2W5o2DTxx3DjnB/14QpbRL6XqDyzL4i4bmzdjITbqzjF7tjhh++QTot27jb2fv+COO+xxDklPRzBjotQiNBTN54mJKBWxBG7Tz9jIbu4SlBIloBTw+KlVrIjn8Xz+S5cQvPsJCZYkqMHr1rkNr3z1VaFx7tcHCWa5Qe4wSgPr1kFaFfTZHDYMCs2GDZjiNnIklI7Ro4kCY/JTC7ykMCsLN4iAF1758mhy+OYb+9yfmLG6Lglm5+0jh4jy5YmqVCHatScQLfTchVbiYN81FwnetEndnd5HCAyEgKSoyjES7GBqjDlD2FqP+NBD9jduXr6sWwpBhOx3XBwfCb54EYp2//46SnlYGNREAUN5L1hBgnftAtONjIQivGcP0V13JGTZ9QAAIABJREFUUcWKUOd/+82ZPgYtHDmCah/V0ufGjbELi2DxYkQpRsYtmwFr5Cuu+OILohkzrD/uX3/hUbApzhO33Qax6b33dGwleREeTvTZZ3Stc3fav1+lvl8NP//M76ssSfhee/fWf25EBKTuJ58UOBl7MXgwYtEffsj/wX33CXVtXh8kmAjf0jff6JrL62LtWnijGFhQhgyB53d8PBTgguYxFt3yKsE9e6IVlUmanBgzBntvwYhSiyFMgn3kFUyENMqOvSFI59rY2CU0MrlkSb9zhyDC5b51q4Iq54MZ8mY8grmRlKQyocJCjB0L9YkDLVpgzVCY0l4Ec+aACD//vM4Bc3JQwGhGGbSCBDdrhnPYuRPu926kcMwY8MunnvKta+CqVXi84w6VJ4SGGnOHKF/eeCR39Ci+uyLeUBr48EOigQPFuiuvJ2zbhsfWrU0fauJECKWWGA4FBBCNGEH/SA0pJwd/cm58842YL+ro0WJjvJ0O4DRQpw7+dAUk+PRpbtMAouuJBEsSjMKfe854Q0hmJhzoTahE7doplOmEhkLZtblGtk0bXCwffmhPmnH/fvBbXYGJKfI+UoKJQIIPHrR/JgIru+QiwWFhfucTTIT+nTNnFGazOKwEu1zI2NlOgl96Scw83giaNUOvAgeaN8fSk5Cg/pxr1zD3pXNnXNuakGWihx/W927UghUkWJKQklEgg2zsfFKSby1JV6+GwZCqNZWR3gajgzIYoqMRPPB633//PW5eB6c62oL4eKQ41q619rgbN6Jb2oLGjSpVIJLOnWvM2tALu3fTriWYIiqkBCcni2W+z5/nG+O9fj0anXxUyqiGAQMQSyclEey4BKa4XD8kmAhfTnq68VV10yY0cdgxJufsWZwfD6ZNg1RiAGPGoLvX6nWESMAZIjqa6IUXNArt7AcjCjur3mPrAHhGgrnW15Il/ZYEEyl8TX36ILXrUNdfcjL6W800xXGhTBnzgyT0sHEj0Y4dXE/lmRw3dy6+n/HjOQ5YogRYppkOngYNkHIVdUYQQKdOyGxOnWpRelkQLhfRmjVEXbpoiLZGSDBTgo0iIgJqA49N2pkzcPHo29f4+/kLypdHFFxg8m4RwsLQrGMRXngBmtZLL1lwsBEjKP6LvyksTHBKsSgJ/vxzKHR6696mTRhEYXMzuSjY5b1oEWE/ysjQT53l4/oiwXFxqEl49123KmoB3H47mhra22DmLpJeWL++MIUjiEGDUIZhdYOcy8XpDEGEzzp1KrrLfYSWLfG441JdW8c/CinBjRqhA9rPUL8+4pYNGzx+UaMGLE8cSo0xImS7ElymDIJlO7uynn7aY5axOho2hJWbGgnOy0P83KwZuve5UKqUudKbChUgv9icBXj7bdyemo1+NiE+HgKZaikEkW9IMBH6GHhI8K+/4jru08fc+/kDKlfG9221Q8TChRgYYREiI2F88ttvCKLMHmzXuRrUtKnH1EctuFwQ1USa15hDRFKS9vMSEgr/Dn6E2rURjy9YQPgDyDK3///1RYKJ4InkcqF4RxTBwYiW7HATmDOHv9j8zBnD3ZmhoWicXLQIbg5W4fhxCEtcJJgIdQhGAhGLUL48UfXoTPqbWtoa1QqR4G++4W9mcBCSBDXYSwleswbKgENgNm2OKME5Odw2iIbA2RhHBOG2SRN1m7SffsLeJDTGNizMnBJ88iQKZu38jgilCBMmIOGwYoWtb+WF1avx2LmzxpPuuQddzyLYvp1o1iyjpwXwkuBFi3DD2KjYOwZJwue2kgQbdejQwZgx0DNeeMFcLC1HRlF8Zm2xUoj0dHwukUCLdxiJ0OxmZ9GvH3quUgPzFXDOstfrjwTXrAkndtGZj5cvQ72xy2h31y7UbvEgJcWURcljj+HGnD3b8CG8wN0Ux3D//T5wXC+KVjXP0g5qZSsJFmqM82PcdhuU2CJxyyuvcKuZVuDoUYjONWrY/EasvMPOkggBEkxUOD7Zc0N1ubCcNWokmPE2qwQvXw6PaMtnxXrjqaew744bpz550w6sXg0VXnPo1pAhmHgkgrJlzSvBHTtCotb7Qtq0gTOSo+PdbET9+uLT8rTQvTvs+SxGaCgcTnbs8BjkIIjEoNp00RUu1hRXtiyC01Gj+F/D6xV86JDA7GZn0bcv1sMlB/Pdnji93q8/EkyE5ji2Y/CGaX/+iTIKNonFalSsCAP63Fzt57lcaEgSsEfzRM2aMJj49FPrNpV9+/DITYJjYnzqDkFE1KryaTpMdehCjn2pHcajuLztJ0zw29o9xbrg1FTHnSGqV0dCxlZ07YomWjstpQyQ4HPnIMC6Y+FCxOWvvCJYlbJsGWoNjMIqn2AOlCiBJrnDh6F2O4HsbJT/dOmi88TcXGy2vPvI+fMoFjXrPjJ4MK7RkBDt573+OsSb/wq6dye66y7uek9NXL2KBc2mNWzoUARv06YZV4N3ZcMBSkgJJsJ1UbIk//OjoxEYa5HgK1fAU/w0qxAXB26z8GADCIrVq3O97vokwUS4KidN4i9BWLcOu69ddawVKuCc2Fx5NWRmIho2mRMeMwYcxszAJ3fs3w/FhLtHqlIlnIBN6SgetLoF3dI7Dxuc3MSBjAzwBC7iduIEnPn9EHFx4Gy+JMFHjzpQD0yEArNBg+zLEMiyIRJMVLQuWJaJ3nwTG+3AgYLnULeujsSpAwdJMBFqnUePxrBJE4O9uLF1K/Z8XRI8fTqUN1414cQJ9ENoWX3wQpa9oyJ37Nnz37NFe+ABlIxZ0YewdSv+bnY0uhNqeJ9+Gmrwn38aO0Z8pe4UECBT40YCLHr7dlgwijg4SBIa3kaMUH9OyZJQu8aN4z+ug5AklESs+rMkXbz7fm4f9OuXBEsSGMr77/MZ565dCzNtuxZ9Rib0vILDw2GNIzARRQlduyKrYVWDHLczBENMDAjwuXPWnIABtHwU7hR/HxCImAUhNDLZT90hiNCcdOutbs1xWVkgcg4rwbbXAxPhc61eba8N0Nq1sCnjRFwcxJ2nn0YNsMsFh7P4eKKXXxZommFYssQcm8zKwpvaLssXYtYsVAGMGFE438AurF4NnqXrhsmyBbylM0zkMGORxvDCC1h0lQj4tWtI3/jRUAPLkJdnjZ/62rX4I4v44wriwQfBxYzO+Nh1sgLVry9RyTCBcpadOzGRSy+r7Ik+ffxW5eVF37649JdPP4BGJQ5cvySYCBF5x44Y36ZlrnzxIhQ6O6dIxcRAmXFoWEJAANHjj8M9R63hhhcuF1xrhEiwHwzMKBslU2wst1OVIWRkCNQD+zEJJsKeum9ffhloWhp+6BAJzsgAfxCyCTKKxETUW3rZYVgE1mkoIGuXKoUy3FKlYBvWti2y6jVrGpzw/PnnUDGN4soVXK8O1poGBxP98guWyj597F06Vq2Cp7ruvcsmHvHWRrP7xorxv506YW9iHXzuWLcOv7PQ+ssvkJOD2jIr3BzWroVNp40NG2FhyGAsXmxM/I/fmUfNo09w17cSkfFr7Ngx3GBqmDkTqRErSlFsQrt2RBXKu2jhpL3cxdjXNwkOCoKsUrYszPHVVMkjR/Acm9ImRASZ7dQpoptv1n7esmWFzzWJYcNwk5pVg48dw54oRIJbtoQK78sZ5OPGUavTS2wlwefPCyrBWVn2WnOZABNM/vyTEMT8/TcmfTkAtoE40pPBNkWjQ3X0cPEiUo96dkQe6NwZ5RBff42E0f79IMKGxFiz7hAjR+b7ETmL8uVBKDIyoPqw/d5KXLyIjLJuKQRRYcqVN6NlJQnu0gVKtNLfYdEiRExcH6IYITgYa48VDhEPPOCIUv7EEzhtUUOQs2eJTiYHUrMNs8Qa8tPSsIaJDkdZsAB1VWqEe/t2bPZ+NC3OE4GBRH36SLSc7qKraTcs0vhQsSIKY8+cUffebd4cqVE7lWBeJCTAq1ik6F0FkZFYB77/3lyTt7AzBBEkrCeeMNXgZxqZmdQqZB8dO2ZfVUZamgDPr10bTFM0jeUQWrfGurpxIyE336KFY0qwT0iwXe4Qx4+ja2b7duGXBgYixXrwIARAw1VRZt0h6tVDTZUP0LQpKth27MD1MHOmtaWvGzYg467pD8zAlGDeBeT8eajnnPWKmggJQYfz4sVF14zUVJS69OxpyT7hd6hf3xoSPHKkLc4QnqhUCdmaL78U22dZcro57RJXgo0EWbGxeFRrjktI8FtnCHf07SfRZQqnVXv49qYbJJgIGvqxY+g6JSpcUc+exY1y4QIWLrsjoP79iT76SPs5KSkIK6OiLHnLMWPQJPvll8aPYYgEsxcKqmGWIjOTWoXDbseufjSh3rFhwwobMP0QoaFwXNq4kTC29dNPHSvfYCTYkca40qULewbsABuuYMJwPjQUyrDhJcmsEvznnxZMAjCOvn3R99WuHQZpNG6MTK4VbjerVuH7bdeO48k1a8Jzntc7dcIEmPgLF3Gr4N57sU+5d6x+8w0CHAftCx1F/fqw6jKTlt+921Gf+qefxp9kzhz+1zAS3IzixUhwdrYxcUnLK1iW/doj2B2dOxNFBFyiRf/wnesNEszAmMqyZTCH/PZbdKN8/TUKZ53A1q36BapnzuBcLarFa9oUA/A++sj4mrJ/P4zBuWzA3NGuHWQcXyEzk1qUTSQie0iwy4Wg3MHeMdtx2234rjIXr0KA6FB9WEICBic4ImwFBBROjbMDFpBg0yhVyhwJfustzhnN9qFhQwzQWL4cnHLgQNxrQ4ei788IIT5/HhyyWzcQYV2UKwdi26AB3xtIkrWuI927g/23bl34s2efRaNH/frWvY8/oX59BN9mpj099hgmHjqEpk2ROHn/ff6sRXw8UbUqeVSOzouR4AULjPUzaCnBqakI3oqBElyiBFH3yG209GQzru3pBgn2RJUqKAp78EFsUlu3FirEdqNCBX13CJODMpTwxBOwn1q2zNjrhZ0hGHztFZyZSZFlZKpTx57muPPnwRG5SfDy5Yi09ab2+BAdOiDzumV3GDZzh2bIO56J+/lnpEnsACPBdvoQ62H8eHNZmKwsx+zR9NCjB1Th5cshjC5bRtS7N3ipqFg9eTISAJMmCbwoORniBA+mTtXP9omgVClkEEuXhlp35gyIdpMm1r2Hv6F9e/yBuKIUBVy6BHsRO3t8FPDMM7hUvvuO7/m7dhE1a5YvdokG5EZEsshIKFlK+09mJiJDoakdvkOvJ6pTyrWyXPv6DRLsiWbNkOp76y1IXsIu1SZQsaI+Ca5dG41xFqJfPyi5RprF8/JQnmWIBFeqxL952IG+fYkGDKCWLe0hwcxhi5sEZ2eD7dk5qcwkbrkF++4za+6m1HKc6pcFcJwEd+1qn5LmD0pwVBSCUKPwIxJMhAqiHj2IvvgCS8qSJVCHu3RBd/4ljh6Zo0eh1D38sCCHbNWKf4rH3LlEf/whcHAOXLiA/eqVV1AvpOV09F9Agwb4vo2KQazo22ES3K0b2ijeeku/7ePwYTgu3XxLAErkhg/nexOXC0HRokXiJyhJRL//Ds9FT9SqRbRypa12claix7i6FBBA9Ouv+s+9QYKVULcuRmE6vUlVqKDvTfree/hnIYKDMZp0wwbxXp2EBNQUF0sleNw4orFjqVUr9CpZ3WnO4hluEsxUVTNpapsREYH19fDFCnR72k+O/PnOn8c/R0nwli0oDrUDd9+NALtaNXuOz4P4eEwTMxpw+RkJdkeJEjAt2b0blQGzZ6NmWC9D/OKLWAvfeEPwDcuVE3OHsMIZwh2ShJKMt95C4PZfVoEZUlPBFI3g11+x1rZvb+056UCSwN0PH0aiSQsffogg7uGHCTauVavyvUl6OqzBjGYT27ZVDo791LFIDeXS/qX29VJpyRL9594gwf6EBg0Ki9MdxqOPogxSVA1mAach4wxfK8GXLxPl5VGbNvhfq0u//4skmAhd8ytix1DStRjq1Klof0lWFoIiK+GoMwTDW28RPf+8PceOioIkpDfy1k7s2QO2pzehUg1+TIIZwsKwnm3eXNhI+O67yvv5li0orR0/3sAgPV4S7HLh+7aaBEdGFlqhzZplXdOdP6N3b/QkiEKWQYJ79DBeTmECvXsjIJs8Wb2d4vJlZDQGDMjno7/9BhWWB2Yt+OLjMdnD8ya57z7UnxcXzJtHvf75P9qzR7/q6wYJ9ie8+CLR+vXqvz9/nqhGDaIffrD8rcPD0Sswfz7Sgrz44QdYG7OaeiE89BC6UHwVZdaqRfTEE9SmDdbDtWutPfx/lQQTEXXc/Bb9Nu8ynT6NnpymTeH6VKoUSISVAYVPSHCZMvaVpWzZItYmbgfMXmvz50N9LAa4+WaUgPbqhS79IUOKfmxZRr1mTAzRc88ZeANeEpyRgTS8FdPiPDF1Kix+HFY3fQajNmmSBCvUN9+0/pw4EBCAqpUDB4gWLlR+zrffoi1p7Nj8H0yZgqCcB2ZJ8Pr1SJ94Xs8HDoj7DvsS5cpRL0ItxNKl2k+9QYKLE86cQd7epilN48ZBROAd8XjgAASl++83+IbNm2P0k4NTp4ogM5MoLIxCQlDragcJDggQsASNjkYTph2bpNWoUIFu7VOeVq1CKUytWvDCnDIFp3/nnUVdm8zg8GFcIo6MTGaw0x1i/nywMV+CqbhGvYKbNSsWdkkMERH42qdMIfrxR8zq6dMHdZpt26L/edIkg32evCQ4PR3XldVKMBH+HsOGWX9cf0X9+iilM3KPVq0Kn2sfYcAA3Dpvvumt/8gyJh63bOk2Nysqit8dwuwkTyWbNJcLi3Axut+pXDmqR4eoTo1s3brgGyTYn3DoEIihWuMEqxe2acBE5crwDv/iC74s6Y8/guQNHGjwDS9eRKpHrw7aDrhcIAD5u97tt4PQmxka4onUVBBC7uxk1apobe/QwbqTsAOXLsGDdPduatMGl+uiRVi8X3oJYkLVqsieWWElm5BAVL26w9lLpgTbkaW4fNm3TXFE5pXgzz8vdg1YAQG4PleswMc/dgxLUHg4BocZ5pBDhkCJ1UNsLEjbkCEG3+gGCtCqFR43bRJ73ejR/KUFNiEwEL1n8fHeKuWaNRCXxo5104YiI/nJfl4eNnKjJFjJJu3kSdS4FTMSTETUq20qrV2r3Rh7gwT7E8qXx52xa5fy71n9rI2jhp99FhaMei4+soxSiNtvN8HJjx0DU7JKMhQBG/LgRoJlWbsaRRSpqb6dCm0bTp3CgACVUZ4xMWhorlULPWBm+8t8MqgoMhKBEnNysBL+QILNKMG5uRhVp5dn9FN064a+xN27UZmyejVqhQ2X0nbsKMagfZX5+i/h1lsRFYs4bRw8SPTJJ8Yb6izE4MHgmxMmwDaN4f33IZwMGuT2ZBEluH9/rM9Vqhg7sRo18OhOgg8dwmMx8AguQH769Z7Gx+jaNZheqOEGCfYnREXh4t27V/n3TDG1kVk1aoSM/Pvva993f/+NtcRwKQRR4Y3q4OSeArDNP58Et24NXmBlSYTQtDgiRPFVqhjzqnMSHMXOFSviu4yNhd2uUUFVln1EggcPhlWKHdM5/IEEN2sGpduIBzoLIP+LI3mN4OJFFB3rBRQLFmDBdGjK4n8aoaFIRY4bx/+axYvx2Lu3PeckgOBgomnTiPbtg6vdc8/hEvr1V/T7Fcl6RUVhzdDzVbMCZcrg/dy79sqVIxoxAtNpigvq1SPasoVuHd2UoqK0rdJukGB/Q5Mm6iS4enXcwBaNTFbDpEkgwE89pf6cH37Ajdyvn4k3KlcOd7uZyT9GERICi6i2bYkINf+33upjEhwYiDoUox37ToGz4y86GtfQoUNQ3Yzg3DlkAmvXNvZ6w6hSBZFRUJD1x87MdGzIiCqCglAoa0T+ZGTPz90hHMPatZgn/s8/2s/76y8UJvvSFeS/hN69xRoFFi2CK4svrQndMGAAxOlBgzA4tU0bJAlGj/Z44siRuLZ4ZqS//jrRqFHmTozZpDA0b0702WfFK60ZFkZ0880UFB1JPXpoDwK7QYL9DU2a4ILPyfH+Xb9+uJFtTqe1aIGapW++IUWfPZeL6Kef4DJjio9LEopHT540cRCDiIhAXavbuNHbb0dkbpVfsDAJJjI/ztYJCNhe9OsHnvXTT8beyifOEEQoPfrsM3uyFN99Z/wLsQpXrkB+WrdO/LU3SHBR5Ncf6gavZ86ASPCQmRvQR04O0ddf840IPnMG3Y99+th/XgKoVYvoq68wdfWBB7DvelkCV6qERkCe62bzZjS3mEGXLtib//0XpYpnz6r7ufkz5s4lWr+eevXSvjVv3I3+ho4dwRyUKrkdtBJ79VVkTEeO9L6ANm4ENzBVCsFQrZpvlODsbHQXuwUbbICQFXXBV68iS/qfJcGSVLj5ayA6Gr7CP/1k7PL1GQlOTIR5ttkNRQkVK/qHGvXOO7CLEsUNElwUzM1FzyHizBnbmpqvSwQFEb3wAup89ZCcjA3ND0ohlFC/PqzRFAe1nDwJqZhHLLJqGIssY/Pv1Qs1ksWxmXP8eKJvvqHu3RFgqOEGCfY33H03ag2UfLVatiR68EFHTqNECQTZ58+jptMdP/6I/a9XLwveaPp0vkXMamzZgi7aP/8s+FHLluCgVpREGHaqCQvzfxI8YQIiI85SgUGD0ANpZDR1QgIEEEft0YhQG0dkj1fwe+/5vEOdQkMRyBi51mrXRlPknXdaf17FESwY5CHBZkZV30BRSBLGm69apa9UtmhBtHMnDM2LG5KSYGSt0ohcBGlpxp0h3CFJYOWhoRA9HF+ALUC+dWFkJD6KGm6QYH+F59it8+fhHOGgJNa0KSoGfv6Z6IknMDSmTh1w1j59LCprbNHCN2M+2ebv9iGCg+FOZiRD7AnhQRkMffoQtWtn/gTshJD5MT5ScLCxCoCEBDQsO+7TzkiwHV7BkybxDbW3E5JkPOAKCcF0S/YdXe9gNWF6JDgysnh12BcHdO0K4qeVscnI4B9r7Y9g15eeQ4QsWzuWu0YNOMBER6NhpriB07/7Bgn2R7RvD8bpjvXrcZGznL1DGD8ept0ffoiSqqZNMfLx/fcteoMTJ1B7yWsBYxVUUrq3346A26x1sWESPG2adkeiP+D//g8+sZyIioIt1c8/i5eW+cQZgsheJfjyZd83xhHh2jdikXbkCDzF2EV+vSMoCNm7AQO0n7d2LUpQbsA6dO2KRy0PrKlTkb2w0gTeSfCS4CtXUPJh5YLZqhXucyMuMr7GDRJcjFG5srdDxNq12LTatHH0VIKCYOB99izKJOfPR/G+gBCojT17UHtpZASmGSgowUSFMYZZNdgwCS4O+PxzDDkRwKBBiHe2buV/jSzDhs8nJDgsDB19VpPg3FxkeXxtkUaEaz87W/x18fGYeMd8y28AokWjRr4+i+sPMTFEjRur7x9nzhDNmgUSZ9mm5TAiI/GoR4LDwmDrOHy4te9fXH2tb5DgYowmTYiOHi2aqly7FikJH8zvLlmSqwfKGFiDkNMOESokuHlzTJAyWxdsmAQ/+CBOwp9hYArIPfcgiy5SEpGWhuZCn5BgSUKA9txz1h6XXXf+QIKPHMF4SFHcaIzzRnw8OvPV8M8/qLUy0oh4A9rYskX9Op48Gc3PEyc6e05WomRJLJ5OZ0uLO/73P65GlBsk2B/BamT378ejLGOOomeH2n8BzA/GaYeIW25B6YFHXWNQENFtt1mjBJcsaTDrbUcdqlW4dg3nJ1h3FhEBMeaXXzAThAc+c4ZgaNjQevWITaDzBxJs1KqLDXu4QYIL8fLL2oMbEhPRhFscrab8HWr30rFjRLNnY9CD40bjFiMhAR7AWvj9d/TYsIXzekdMDJcLzw0S7I9gJJiVREgS7Er81N7FFKKisJk6TYKbN0fBs4Jx/e23w8TcfZylKFJSoAILZ5L83SKNpcANdLkPGgRXOjdDDk34nAT/9BOsUKxETAxqE7U8e5zCzJlEU6aIv+6GEuwNvdQru29uWKRZD1nGhMdJk4r+fOlSlDS99ppvzstKVKumr6gkJRHt2uUxbu46xsGDyAToGP+bIsGSJA2QJGm/JEkuSZJamTnWDbghNpbo+ef/v707D5OiOvcH/j3MsM1EZ2FzgGGTTVBAQRYXBJRFRXE3aiIRjZq45EYvXiMRTTCJu0bxuVFUcq9RE8J1wQUQomhcUEEBQWBQZB9g2GdYB+b8/ni7ftPM9FLVtXd9P88zT890V1WfPhTdb596z3sk1wmQRMq1a/1tk1uU8qdWcHm5XA5OYMgQubUzGpzRQhlA8IPgbdvkTTaDtelHj5bR8enTzW2/apV8hnXoYPmpnPHsszIj1EkNGtR+8fPb3LmylK9VDILrYxDsH6Vqc39/+1sJBI2rp999l9F7VeC89BLw3HOptzGCPaeqQ4RdWZmcD2vWpNzM7kjwUgCXADCxZAuZ1qCBzMCPLemL665LsJZiFnnrLQk4vDRpkpS9SKBPH5mL4FsQvG9fcC+bnnKKtG/UKMu75ufLZO4ZM8wtnFFWJgFww4bWm+mIggLnJ8atWgXcfXfaN2ZPZFod4vbbpf2+/cMEUHGxLHB06FDixzdvlvOpaVNv2xUVjzwib9wPPijvUSecILnA2RAAA3JFKt1nZEWFpIZwJFiYrN9tKwjWWi/XWq+0cwxK4sABmWxRXi4zXz0ujeapLl1cnHmXxN69SS8v5eRIXrCdyXEZB8EDB0rut9nEWT8olXE+6ZgxwLp1wOLFqberqZGVCfv5eX2poMD5/OxVqyQXPQjlxTKtE/yjH0kN0bDOGneD8f6VbPJSy5ayGii5o29fubJhLHd+2WXZ9SWtqCj9e5FTC2VkCy+CYHLRX/4ieavTpsnfxjX6bPTVVzKTM24JY9ft25fycu7QoXIlLZOiFVrbCILPPReYPDm4b+AvvADcdFPGu59/vsROM2ak3m7JEsmrPvfcjJ/KPjdGgoM0Mc646mDVm2/KpWeqdeELiahuAAAgAElEQVSFwL/+lXwBkQkTpN/IXc2by0S4Bx7wuyXOKixMXx2ia1dZo56EU0GwUmquUmppgh9Ls7SUUjcqpRYopRZUpElUJtROjnv6aZlaH/SyWXZ89ZWUsCkv9+45U4wEA7XfOTIZDd69W+J5i1XEah06FNx0iA8+SF2YPo1WrWRBvHTxgLGqsK8r8xYUyCVuJ/8tKivlNghBcGFhZpdO/+//ZLEMqlVaCgwbxkvR5A5jJDjVe9HEid6nFQZZUZGMuNgNgrXW52itT0zwY+lrrdb6Oa11P611vxZM3E7PCIK//16uzefm+tseN/lRJi1NENyrl6T5ZZIXbGuhjH/+UypWmFkn3g8bN9rOs7vwQvnek2qUffZsSfHLoAiFc+68Uy4xOnnZP0gjwX/8Y2b/59JcRYmkykq5ard6deLHTzpJqnEQZaKwUC4x7tnjd0vCIydH0mN++9uUmzEdIqhatpRZnueeK0n/2cyo5edlEDx+fMqFEBo0kBS+TEaCbQXBRnAR1AoRmzbJioY2GJX+3nor8eOVlVJGLYO5d84qKJBLak4GwUFaLCNT+/czCK5r506pAfj++/Uf27sXWLo0s9X5iACZJ3LgQO3qcXVpLZ+jjz/ubbuCrmXLtKmFdkukXayU2gBgEIB3lFLW1lKl1E46SUpSde/ud0vc5UcQPHq0/KQwZIjUW7danc5WEGyMTmeSq+k2rR0ZCe7WTeZCJkuJeP99WV145EhbT2NfWZnkcjq5muFvfiMfZj6s/FjP3LnApZdan/zHkeD6UuUfsjwa2dWkScKa9v/fnj3yPmWm7E6UTJkic2xSsFsd4nWtdVutdWOtdSuttd8fW9nl3nulVFq2O/ZYWat440bvnnPhQilTkIJRkMPqaLAjQXAQR4L375f8hE6dbB1GKUmJeP/9xFf3Zs2SgdLTTrP1NPatWycpAz/84NwxlUr9Yeal9eulTjCDYPvy8uTfNVUQ7GtuD4XamjVSmjBZmhxrBCf2xhvA1KkpN2E6RJANGZLdVSHirVnjbc7cyJFSqiqFnj1lsrHVvGAjCG7ePIN2BTkIzsuTEl+33Wb7UGPGyOTB2XWuHWktQfDZZwdgsNSY6e9khYgXX5RKKEGQ6VWHefNqq9aQUCr5ghkcCSa79u2TSfKLFiV+nEFwYukWsQGDYAqK4mJv646mmRgHSF7wkCEyEmzlKtPWrfJyMqpy1qqVLOfcrVsGO4fHoEHy/lS3VNqqVfJ9yPd8YKA2CHayVvCsWcEJIDPNP2/aVK7c0NGSfeAWFQHnnZc9CzeQ944/Xj6QViZZlsEYeWEQfDQGwRQaM2YAv/qVN8915IjkZaZbix0SBK9bZ+2KeMY1ggH5T/vQQ1IaIWjefFPqUDpQ4jA3V1Ky33nn6PLQRmk03/OBAXdGgquqgjMpLtOR4IkTgddfd749YffKK4nrJw8bJid6RpeGiCCpNp06ycJZibRoAVxxRW2lJRLNmsl7brKVHMEgmIJi0SLgqae8mUFtfOibyGs08oKtpETYCoK1lpnmRj3ZIFm2TBYEcCiIGzNGXuqvfiXpxoAEwd26AR07OvIU9mR7EFxQUDsp1YqnngI+/ND59oTdiSfKSnpEbujWLXkQfNppwD/+wZSbupo1k1JpKRYaYRBMwWB8g/VicpwRYJq4pHvCCRLQWpkcZysIBuQ/bhAnRG7cKJd2mzZ15HAXXigB8H//N9C/P/Dll/JlIxCjwIDMyN67Vyo6OCVIQfApp8hlDqvL+XJiXGLz58tKn3VdconPSx9SVjjhBLmCmSg3j1UhEvv5z9OuXMUgmILBGJFyshxVMgUFsijF8OFpN1XKel6wrSBYKblMHcSJcZs2OZrXmJMjC4/NnCkZFgMGyIhwIPKBDXl5zuaqK5V8ad0wqK6WHwbB9c2YIZNG675RrF3r7XwHyk4PPSQ5wYnOpbFjgd69vW9T0OXmpv2/xyCYgsHLWsH5+cBll8lkAxOGDpVB0O++S79tdbXk4dsaCQ5qEOxAjeBERo0CliyRHOE2bawPTLrqwQcTj+5lauFC4KWXnDueHbt3ywjlG2+Y38fIW3HoakBWadZMClzXrfu3eTMvU5N9DVKEa8uX19aqplrl5cANN8hVmiQYBFMwlJZK8r8Xy0JWVABz5pjO9bSSF7xtm9xmZRDcqRPQr58rh27ZUgbS1q0L2CDja68lX9Uj7Bo0kCRsM9/uDPv3y8hKoP6RAiLRghk1NcCWLawRTPbt3w9cfDHwt78dff/Bg8Dixa69N4dadTXwwguyYmMSDIIpGPLz5T/5L37h/nPNnw+MGCH1uEzo2lU+w8zkBdtaKMMQ1CD4738HHnjA1adINdjhi4IC5ybGaQ38+MfBqaxgBLJWqkO0aiXVVW66yZ02hVmiIHjbNukvjgSTXU2ayITUTz45+v6lSyXYYxBcX6qVHGNyPWoKUXpe5c1ZmBgH1M8LTtVMR4Lg//gPWUWP/FdQ4Nxkzf37ZQZ3UMrf5eTI1RerX7iUYo5rIsk+cG+8USYhEtmhVOIKEQsXyi2D4PpSreQYE7RxF4qyp54CfvlL95/HYhAMSErE5s3Ja5UbjCA4xWTU9MaNk5zlIPn6a3kD/vRTv1viLSdHgjM471yXl2dtJLisTHLskpVqirJTTgFWr67NnwLk2/CzzwKnn+5fuyh7dO9e/0OoVy9g/PiA1JUMmFQrOcYwCKbg+PZbqdrgtgyDYCB9XvCWLXJra+GebdtkRnmQrF0rAVDjxn63xFtFRZLX6YSqKrkNUhDcu7e1k3XNGsmxS7MKUyQ1aSKBSPz/kYMHJR2CyAndu8tkr/i5MwMHSklNXp1JrLQ0Zd8wCKbgKC2VANCYge4WIwg2sWKc4fjjpXJBurzghQtlFLiw0Eb7br/dVPk2TxkpAVFb+vWRR+RDxwnGeReUOsGAnNATJ5rf3gjkg/QaguThh4H33qv9+89/zizlhCiR3r0l6N2xQ/4+dEiu0qVYES3y5s8Hnn8+6cMMgik4jDJp69a5+zzXXiuz4i3MwlJKRoPnzUteL1hr4P33ZZVUW1/K8/KC96G5aZPkkEZtbXonR1cOHwZat5bR5bAK4mh2kDz4oJQ5MWzeLCPEFr5wEyU1ahTw2WdAhw7y96JFkobzzju+NivMGARTcHTqJLc//ODu8xx/fEbLkg0dKjm/y5cnfnzlSvnMi08JzEgQq0Ns3CglMnJy/G6Jt+bPB666ypnR4H79pB9tnyAOuvVW4OabzW/PkeDU6uYflpezMgS5Z8ECue3b1992BNmLL8p7eBIMgik4OnWSn4MH3X2ejz+WIVuLjNglWUqEcX9WBsE9ewIXXeR3K7y3ebOUhtu82e+WuGPVKqkxalZNjQTAHNlMrG4QvHkzawSTsy6/HPjZz+T3BQvk6pxxFZXq++67lHONGARTcLRuDXz/PTBmjLvP86c/AXfdZXm3Dh2Adu1SB8GlpaYXoksuP18unQcpz2v8eODpp/1uhfeMJY6dqBAxc6Ysi2esqBIEVr9w3Xqr5DYzCE6sWTO5emB8sdiyhSPB5KxDh2pHgBcskCtMnBSXXLNmKSensk4wRU9lZUY5jUZe8Ntvy4BYfEpxTY0Eweed58D70ahRwVsCM12B5GxlBMG7dtk/VlmZ5O4FqR+tlkij1H7xC/m/YqSLXH+9c9VFiACpEDFrlnyOLVsWzSt0VqT5LOVIMAXLffe5/586wyAYkCB4+3Z574m3bJkM8DmS7tm3r+RpNmrkwMEcUFUlH+p/+YvfLfGekyPBQZxUZnUkePJkGQ2mxEaPBt59t/Zy0B13yFUUIqd06yajwRs3ArNnAz/5id8tCjYGwRQqO3fWLs3mFhtB8JAhcjt79tH3O5YPDEgNyK++Cs4I3aZN0pYoXgIvLLS58kmcykqgYcPgfLkBZFTp5JPNb//JJ0eXAKPUgjTqT9mhe3e5Xb0aOOccoGtXf9sTdG3apJw4yCCYgqVTJwkCjTqIbrARBLdvD5xxBvDoo7VlXwGZZ9epkzxu2wcfyH/aoKzKFdUawYCMImzeDIwda/9YVVXBGgUGgF//WkYuzTKuChCRP7p3l8lx8+alX72JpISckUOdAINgChajTNrq1e49x6xZti5RPvqozHd59FH5+8gR4MMPHax8ZYy4BqVCRJSDYCcVFwMnnuh3K+wJYiBPFCXFxcC0aTI55bHH/G5N6DEIpmDxIgg++WRbJRwGDACuvFIWE9u4USaC79rFIDhrXX997TceO37/e/m2FCSvvCIjS2Yn/nEkmMh/lZVSsL5fP79bEnoMgilYOnYEBg92L/90/37guedspxr86U8yAjxxosP5wEDwguCePYEbb4xu8PPZZ1L2Khvt3SurvBiT9tIpKorulyGioDjrLLllEGwbS6RRsOTnuztatm0bcNNNwJQptRMMMtCxo0ySf+IJmazbrZuUOXZEXp7cOhkEjxsnl+LvuMP6vqNHy09UFRY6UyLthhskiHzkEfvHcopxrpmdhMlJcUT+O+004OuvJd+VbOFIMEWLMZvNgbzGCRMkPlqxwuGVcEtKgP/9X5mB54SdO4GpU4E778xs/1273K3WEXRFRc4EwZ9/LovBBEnQrjoQUXqPPQZ8+y1XI3QAg2AKnrvucm8CkYNBcHExcO+98vuwYbYPVys/H/jpT2vzo+366KPa3zPJte7aNdq1YQsL5YuEXUHMp7UyEqw1MHw48Le/udsmIkqtcWPghBP8bkVWYBBMwdO4sQyvVlc7f2wHg2AAuO02YPp04OKLHTlcrY8/dm7UsKICyMmRGq8dOljbd9cu2d/qftmkc2dZD9suG6X5XFNSApx7rrng/MABYO5cYMMG99tFROQBBsEUPJ06yayz9eudP7bDQXBuLnDppXLrqHPOAZ591plj3XCDfKE47bSj13o2Y9Uque3SxZm2hNHvfudMPc4glhc76SSpE9y7d/ptjclzQRvNJiLKEINgCh43y6SNGCG5VDYmxXnC6nK2yRi5vErJRIrbbwcOHza/f1mZ3HJVInuOHJEFUGyU5vMdg2AiyjIMgil43AyC8/Mll6pJE+eP7SSnguDp04EePYC1ayW94umnZYKWWatWSQAd5uDNrpkzpTj0pk2ZH8NIR/n5z51rlxO2bJFUj5deSr8tg2AiyjIskUbB07q1TAxzIw/1k0+AL76QEdGcHOeP7xSnguD335cczjZtgGOPlXSI994DTj/d3P5Dh8oXhsaN7bclrPbulXNm2zYH6+AFRKNGcn5s355+W6UkfaJFC/fbRUTkAY4EU/Dk5EiJsBEjnD/2u+/KkslWc2O95mQQPHiwJC0XFQH9+wOzZ5vf/6yzgLvvtt+OMCsqkls7ZdLKymREfu5cZ9rkFCvVIU48EViypLZQPxFRyAU8EqDI0hrYs8f54xoz9JVy/thOevxx4P777R1j40YJvuLrt40cCXz5JbBjR/r9tQa++sr8amLZqrBQbu2USduxQ5Y5PXTImTY5pVEj+dLJOsFEFEEMgimY7rhDlmVzWhDLVCUyeLCM2tqRaD3nESOA444zV35t61aZzPXii/baEXZGEGxnJNj4IhG0c08puepgZiT4rbeAQYOA8nL320VE5AHmBFMwtWkjo2e7dtUGIU4ISxC8aJHU5x0+PPNjtG8v5dHiy18NGiQ5oGZGwo3yaFGvDFFcDAwcCBQUZH4Mh0vzOeqKK4BevdJvt349MH9+sHPpiYgsYBBMwWRUiPjhB+Dkk507bliC4CeekNq0a9dmfowzz5SfeEbwG186LRmjPFqUawQDkhP82Wf2jhHkygpTppjbLsivgYgoA0yHoGByq0zatGnAjBnOHtMNdifG7dwpI7lGsBtv3jwpi7VyZepjlJUBDRvKiDLZ06KFjOobk+zCqKpKvjQ1bep3S4iIHMEgmILJyAd2OgguKABatnT2mG6wGwS//rqkMSxfXv+x9u1l0ty//pX6GKtWSX1gx5fDC6FRo4A777S3/3vvAc2aOdcmp4wYAYwenX67ykoZBQ76pFIiIpP46UbBVFAg1REGDXL2uA89JKWqLrjA2eM6LT8fOHAAqKnJrJzbJ58AzZvLwiB1deggI5MLFqQ+xvjx5urHRkF5efAXWMnUkSPmJv2VltZPryEiCjGOBFNw3XcfcMYZzh7z4Yet1cn1S36+3JqZtZ/IunUyipto1E4poF8/YOHC1McYOBA4//zMnj/bFBbaqw5x772y0EQQmb3qcMcdwDvvuN8eIiKPMAim4NqzJ/HlfDvCMjHuyiuBf/8789HHjRulwkYyffsC336bPMjeuRN44w2OBBsKC+3VCS4vN1eb2Q95eZl/2SIiCjEGwRRcf/gD0KePpAQ44eBBoLo6HEFwu3YyCp5pPu6GDUDbtskfHz4cuOmm5MHPwoXAxRfLCmEkE9rs1gkO6nmXl2duJPiaa4Cf/cz15hAReYU5wRRc7drJCltbtgAlJfaPF+RarXUZE9fOO09ye63QGpg6VXJ/kxk8WH6SYY3go516quTOZsqYVBZEw4aZO8fKyiSXnIgoSzAIpuAySnOtW+dMEBzUVbsSWbIEGDsW+PRT60GwUsCll6bf7vBhWRWudev6j5WVyQhhosei6JZb5CdTQU7D+clPzG1XVVVbupCIKAswCKbgatdObtetAwYMsH+8Dh2k4kIYSjzZmRi3aZPkUg8cWHucRC67TErQJUp5KCuTRTLC0FdhcNZZwa4ucfiwrASX6t+7qiq4o9lERBlgTjAFV3wQ7JTGjYFGjZw7nluM4DWTWsFz5gDnnCOTsVI56aTkk+NWrWIqRLzXXpNUgB9+yGz/SZOACROcbZNTnnhCFkUx0oWSYRBMRFmGQTAFV2Eh8OyzstCAE5YuBW6/3dmg2i12guCNG+U2VXUIQMqkHTkCLF5c/7G33wZ+/3vrz52tcnKAbdvsVYgIKuNc27Mn9XZnnw307u1+e4iIPMIgmILtxhuBnj2dOdaKFcDTTwO7dztzPDfZCYI3bACKi9Mvb9u3r9wmqhfctSvQvbv1585WxnLHmVaIaNkSmDjRufY4qbhYbtOVcJs+HRg3zv32EBF5hEEwBdvq1cBHHzlzrDBVhzjuOAlOL7nE+r7pagQb2rSR4KxuELx0KTB5cji+LHilsFBuMxkJrqkBKioyW/nPC0YQnI2j3EREKQT0XZko5pFHMgsEEwlTENywIXDKKbUBihVmg2ClJB+07ujenDnAbbfJZCkSRhCcyUiwMZof1HxaY5Q71Ujw2rXyxWz6dG/aRETkAVaHoGBr105WLdu7N3WlAzPCFAQDwJQpwAknWF86esoUqRVsxtVXH/13TQ3w+usS8DRrZu15s1mzZtJXRtk+K4J+3rVtC/znf6Yuf7Znj9TrJiLKIgyCKdiMChHr19vPUT10SPJkw1AdApDAZNw460HwySeb3/bAAeDjj4Fu3YDSUuD552W55hdesPac2S4/H3j55cz2NepTB3UkuEULueKSStBfAxFRBpgOQcEWv2CGXb/7XWYTzfxidjnbeDt3An/9q0yOM2PbNllC+Y03pL7w+PHA0KHAdddZbm4kmB1hj5efLxM8gzzRsLIydQ54mBaaISIyiUEwBZvTtYLDtPhDfr71IHjFCglgv/nG3Pbxk+NqaiQAfvbZcPWTV3r1An76U+v7tWkjfWpU4wiijh2Bu+9O/jhHgokoCzEdgoKtdWupWXvKKfaP9dhj8mF+3332j+WFTIJgYwTYzMQ4QILdvn0lCG7bVkaEKbGGDTObGHfkiPRzUKtDADIBM1V1iJIS4KqrJHWCiChLBPhdmQhAbi5w/vnyIWzXzJnAe+/ZP45XMgmCzS6UEe+EE6Qs2vLl1p4raoqKMisjNm2aLLaxcqXzbXJKutc2cCDwyivypZSIKEswCKbg++wz4M037R+nsjJcOY3TplmfjLVhA9CkibXSahddJKOc6VYMi7rCwsxGgsOQSlBcnH6xDCKiLMMgmILv6aeBO+6wf5ywBcFt20q+rhVGjWArOb1nngkcPAgMGGDtuaIm0yDYKJEW5CA43Ujw/fcDBQWZTQwkIgooWznBSqlHAFwA4BCA7wFcp7XOcF1RoiTat5ci/TU19vIqwxYEz50LLFokpdLMeuopqatsFSfCpTdyJNCqlfX9jCDYbp1rN119NTB4cPLH9+yRAJjnCRFlEbsjwXMAnKi17gWgDMBv7DeJqI527YDqavvF+vPzwzWxZ9YsYOJEa/u0aBHsUlxhdvnlwB/+YH2/qiqpT50b4HnIo0cDN9+c/PGqqmCPZBMRZcDWu7LWOn6W0XwAl9lrDlEC8WXS7EyQW7HCmfZ4pUULYP9+86vlaS1B2siRwKmnut++qNFagsG8PJnoZtbgwUDjxu61ywlVVZJPfvzxkh+e6HEGwUSUZZzMCR4HYKaDxyMSTtcKDovmzeV22zZz22/fDtx7L/Dpp+61KcpefRU49ljg+++t7XfBBcADD7jTJqdMny5VQtavT/x4ZSWDYCLKOmmDYKXUXKXU0gQ/Y+K2mQDgMICkU9mVUjcqpRYopRZUVFQ403qKhq5dgcWLpVRaprZvl2Bkzhzn2uU2I3XD7P+XTMqjkXmFhXJrdXLcrl3Avn3Ot8dJRjWRZJPjRo0CrrzSu/YQEXkgbTqE1vqcVI8rpcYCGA3gbK2TTx3WWj8H4DkA6NevH6cYk3mNG8tqXXbs2CGLblxxhTNt8oIxEmw2CDYWymjb1p32RJ0RBFutFXzppVJ94+OPnW+TU4qK5DbZa7vlFu/aQkTkEbvVIUYB+C8AZ2mtAz7UQaE2fTpw4ADwk59ktr8xQz9M1SFOPVWCkoICc9tzJNhdmY4EV1Zaq9vsByMITlYr+OBBoFEjVocgoqxiNyd4MoBjAMxRSi1SSv3FgTYR1Td1KvD445nvH8YguGFDCbzMBh4bN0oJueOOc7ddUWUnCA76eZcuHaJzZ+CGG7xrDxGRB2wFwVrrzlrrUq11n9hPiho7RDa0b29vYlwYg2BAJrq99pq5bSdOBDZtSjy7n+xr1gyYMAE4+WRr+1VVBf+8a94ceOYZWTglEU6MI6IsxBXjKBzatZPJbXv3ZrZ/bq6UfzIu+4bF888DM00WXcnJyWwxBzKncWOp8tC/v7X9whBANmoE/PKXQI8e9R8zSsMF/TUQEVnEIJjCwSiTlqyEUzqjRgHffQd06eJcm7zQvLn5Emm/+x0wbZq77Ym67duBrVut7TNhglQmCbpvvwVWrqx//8GDwJEjwR/NJiKyiEEwhUNUawW3aGG+OsSTTwIffeRue6LutNOA22+3ts/48cDw4e60x0lXXAHcc0/9+6uq5JYjwUSUZRgEUzj07y+jcJkGE88/D5x9tlzaDZPmzc0Fwfv2yYQtVoZwV1GRtRJp1dXA6tXBrxMMyGtLVB2iYUMJjrkKIRFlGQbBFA6NGskM9kxLNC1fDsyfH74STy1amMuDNsqjsUawuwoLrVWHWL9ectH/+U/32uSU4uLEAX5BgSzHPWCA920iInIRg2AKj8cfB557LrN9w1CmKpGnnqpdBCMVYxuOBLursNDaSHCYUgmSjQQfPCh56YcPe98mIiIXMQim8PjnPzMfUQtrEJyTY267XbukAgaDYHdZHQkOU2m+ZCPBH30kVyTmz/e+TURELmIQTOFRUiJ1cDMR1iB40SLg2muBNWtSb3fxxbKiXtiqX4TNlVcCkyaZ3z5MI8FjxwIvvVQ/bz5Mr4GIyAIGwRQerVsD5eWZ7duhA9Cnj6PN8cT27RKYrF2bftucHFkxjtwzdChw003mtw/TSHDv3sBFF9XPmzeC4DC8BiIiC3L9bgCRaSUlcrn2wAGgSRNr+06e7E6b3NaihdymqxAxfrwsl3znne63KcoqK4EffgC6djV3DvbpI3ndYZiwuG0b8OWXUgauoKD2fo4EE1GW4rARhUfr1kBenvm6udmgeXO5Tbdgxj/+ASxZ4n57ou7dd2XE9PvvzW3fuTNw223hWKnwyy+B886TSirxGAQTUZZiEEzhMXasfCCXllrbT2vg5JOBZ55xp11uMoLgVIH/wYNSHaJTJ2/aFGVGMGt2ctzGjcDSpeGoT228troVIs48U5aLbtrU+zYREbmIQTCFR4MGmdX53btXJpgZI1ph0qgR0L596iBq7Vp5nEGw+woL5dZsEDx5snwBC4PiYrmtWyFi4EBZ+pn55kSUZZgTTOGxbx9w883AJZfIBB6zjFFUI782bNJVhli9Wm47dnS9KZFnBMFmawVXVcmEsjAs0mIEwXVHgsvLgZoalt8joqzDr/YUHk2aAK++Cnz+ubX9wh4Ep3PggIwWcyTYfc2aye327ea2D1NpvmQB/h13SFUMIqIsw5FgCo8GDaQCgtUyaWEPgh9+GPjuu+Sr5V10kbWRccpccTEwZQpw+unmtq+qCs+EstxcYPZsqXwRL0yvgYjIAgbBFC6Z1Ao+5hjgnHPCezl3xQpgzhy/W0GApDXccIP57Y10iLAYMaL+fQyCiShLMQimcCkpMV+eyjB4cLiDyObNZTRb68S5pZdeCvTqBdx3n/dti6IVK4Ddu4EBA9Jve9ddUr0jLObNA6qrgeHDa++rqgJatvStSUREbmEQTOHSuTOwZYvfrfBWixYSSO3dW39ETmtg7tzwjnKH0d13yxexb75Jv+2wYe63x0mTJsm5VjcIZr45EWUhToyjcHn0UeCzz6ztc9tt5nM4gyjVqnE7dgB79jBI8VJJifmUnLlzpYZzWBQV1a8OMXEicP31/rSHiMhFDIIp+61ZI+XVwqptW6Bnz8SX1Y3yaAyCvVNSItUhDh1Kvd2BAzKi+te/etIsRxQX168OcdVViXOFiYhCjkEwhcuiRXKJefFi8/tUVIS3MgQgk/qWLgW6d6//GGsEe6+kRG43b069nfF469butmERxwEAAA/aSURBVMdJRUUSBBuLsyxdKldeamr8bRcRkQsYBFO4aA188EFt8GdG2IPgVPLygDPOYBDsJbNB8KZNR28fBkVFcsVh/375+8kngfPOC8eyz0REFjEIpnAxAgojwDAj7EHwgQMS6E6dWv+xCy4A/v1vlrDy0sCBwMyZ9evp1mXkDYcpCB47Vq6yNG5cO+ly6FAgJ8fvlhEROY5BMIVLixbygWx2YlJNjSyzPGiQu+1yU+PGwBdfACtX+t0SAqRk3ahRtSusJWN8UQtTOkRJiZTby8mRqy1r10o6DhFRFmKJNAqXnBygVSvzI8ENGoRrYlIiSknwv21b/cd695aA7KGHvG9XlL31lqxeeOqpybe56CKgQwcJmsNiyxZg+nRg9GgZBQYYBBNR1uJIMIXP6adLIGxGTU125DMaC2bEq64Gli0DGjXyp01RdsMNsnxyKqWlkq7SIERvsxs3ArfeCnz9teTel5YCXbr43SoiIldwJJjCZ9o089vOnQtceCHw4YfmVvgKqkQjwevXA0eOsDyaH8zUCp45Ezj22HDVqC4qktudO+UKypo1iVcpJCLKAgyCKbtVVMhs93T5m0HXv3/9lfJYI9g/ZoLg//ovqdrx5pvetMkJxcVyu2MH0KRJ4rJ8RERZIkTX6Yhipk6VmfnV1em3NVIIwlwdAgD++EfghReOvo81gv1jJgguLw/XpDgAOOYYSd+YPBm45x7WByairMYgmMKnuhpYtar+yGgiFRUymS7sI8GJtG8PXH010KaN3y2JnpISOf+OHEn8+KFDkr4SpvJogATAhYWSBjFjRrjymYmILOI7HIWPMbpmpkJERYVMKgv7h/n06ZL2sHVr7X0jRwIvv8warn64+WZZvTBZvmwYV4szfPKJ3LIqBBFlOeYEU/gYo2tmagUPGRLOQKQurYEffpAguGVLua+qiotk+KW0VH6SCeNCGQaj7QyCiSjLMQim8LEyEnz11e62xStGrdn4ChHt2wPXXgs88YQ/bYqyHTuAV18Fhg9PvHJcr15SZiyM+dq33iq3gwf72w4iIpeF/BoxRVLLlsCIEbUjoqns2pUdk3uMiX3GRL9NmyQQYz6wP3bvlmDx448TP960KdCnD1BQ4G27nDBuHHDFFVLejYgoi3EkmMInJweYPdvcth07AtdcI7Pdw8wYCa6oAObMAcaOBRo2lHQP8p6R5mDk/tb1/vuSvnL99d61ySl33ul3C4iIPMGRYMpe1dUyEhz28mgA0KwZcP75wIIFMgpeWAh8/jnQr5/fLYumJk3k3yBZXvrLLwMTJ3rbJiIisoQjwRRO118PrFhRO5M9ESN/NhuC4IYNgbffBg4cAI4/Hvj1r4G8PL9bFW2pagVv2hTOSXFERBHCIJjCqUED4PvvU2+TLQtlxGvSBJgwwe9WEAAcd1zyILi8PHX1CCIi8h2DYAqn1q2lXNjhw0BuktM4m0aCKXhefjn5aHx5OTBggLftISIiS5gTTOHUurXUzk21aly7dsD99ycuYUVkV0lJ4uoP1dXyBY3pEEREgcaRYAqn+AUzkpUJ69wZuO8+79pE0fL118C0acA99wDHHFN7f25u7XLdREQUWBwJpnDq3l3qmaZaMW3rVnOryhFlYvly4MEHgQ0bjr5fKSlpV1TkT7uIiMgUBsEUTl27Ai+8IMFwMvffD5x0kmdNoohJVit40SIpjxa/uh8REQUOg2AKL61l5a5kKio4KY7cE5+SE2/+fGDSJODQIe/bREREpjEnmMJr2DDJu5w7N/HjDILJTcmC4E2bJCXCzLLeRETkG44EU3h17AgsW5b8cQbB5KZjj5W6zUY9akN5OdCqVfLSfUREFAgMgim8evSQfMwdOxI/ziCY3KSU5P0++ODR95eXszwaEVEIMAim8OrZU26TjQY/9BBw9dXetYeiJz+//n0VFQyCiYhCgNfrKLzig+Azz6z/+HXXedseip6//Q1YvBh45JHa++bPBw4c8K9NRERkCkeCKbxKS6UM2qmn1n+sshJYsACoqvK8WRQhX3wBTJly9H1KAU2b+tMeIiIyjUEwhZdSsiJc3771H/v6awmOP/vM+3ZRdBx3nJTp279f/q6okCsQX3zhb7uIiCgtBsEUbnv2AJ9/Xv9+Y8Y+y1SRm4zc3y+/lNu1a4G//pUrFRIRhQCDYAq3558HBg4Etm8/+n4jCGZ1CHLTuedKWs7o0cA339QGv5wYR0QUeAyCKdx69JDbuhUijCC4eXNv20PRctxxknIzbpws4W0Ewa1b+9suIiJKi0EwhVuyMmmrVwPFxUCjRt63iaKlTRvgySeBhg0lFx2QxTKIiCjQWCKNwq1tW1m5q24QfM89wAUX+NMmiq7cXKB3bwmIiYgo0BgEU7gpJSkRdYPgLl3kh8hLTz8N1NT43QoiIjLBVhCslJoEYAyAGgBbAfxMa73JiYYRmfanPwF5ebV/P/44cOKJwIgR/rWJoqsBs8yIiMLA7rv1I1rrXlrrPgDeBjDRgTYRWTNkCNC/v/y+e7ekQrz7rq9NIiIiomCzNRKstd4T92c+AG2vOUQZqKwEZs0C+vUDPvgAOHgQuOYav1tFREREAWY7J1gp9QcA1wLYDWCo7RYRWbVrF3DFFcAzzwDTp0sucL9+freKiIiIAixtOoRSaq5SammCnzEAoLWeoLUuBfAygFtTHOdGpdQCpdSCCqOGK5ETjAoR770HzJsno8BK+d0qIiIiCjCltTMZDEqp9gDe0VqfmG7bfv366QULFjjyvEQAgEGDgAULJCCeMwfo3NnvFhEREVEAKKUWaq3rXSK2NTFOKRVfg+pCACvsHI8oYz17AkVFskgGA2AiIiJKw251iAdjqRFLAIwA8CsH2kRkXY8ewOHDwPbtfreEiIiIQsBudYhLnWoIkS0XXAAsXAgUFPjdEiIiIgoBrhhH2aFLF+Dll/1uBREREYUElzYiIiIioshhEExEREREkcMgmIiIiIgih0EwEREREUUOg2AiIiIiihwGwUREREQUOQyCiYiIiChyGAQTERERUeQwCCYiIiKiyGEQTERERESRwyCYiIiIiCKHQTARERERRQ6DYCIiIiKKHAbBRERERBQ5DIKJiIiIKHIYBBMRERFR5DAIJiIiIqLIYRBMRERERJHDIJiIiIiIIodBMBERERFFDoNgIiIiIoocBsFEREREFDkMgomIiIgocpTW2vsnVWo3gFUZ7l4AYHeG+zYHsM2H5w3jvuwra9hf5rGvzGNfmce+Ms9OX9l97jDuy3PLvKD2VXutdYt692qtPf8B8JxP+y4IYZvZVwHfl/3FvmJfBWJf9pUHfRXi18xzi31V78evdIi3fNrXDr/azL4K/r52hfE189zyZl87wvh62Vfe7GtXGF8zzy1v9rXD8zb7kg7hF6XUAq11P7/bEQbsK2vYX+axr8xjX5nHvjKPfWUN+8u8sPVV1CbGPed3A0KEfWUN+8s89pV57Cvz2Ffmsa+sYX+ZF6q+itRIMBEREREREL2RYCIiIiKicAfBSqkXlVJblVJL4+7rrZT6TCn1jVLqLaXUsXGP9Yo9tiz2eJM6x5sRf6xs41R/KaWuVEotid3/sB+vxW1W+kopdY1SalHcT41Sqk+d42XtueVUX/G8qtdXDZVS/xO7f7lS6jcJjpe15xXgXH/x3KrXV42UUlNj9y9WSg1JcLysPbec6quInFelSqkPYv+nlimlfhW7v1gpNUcptSp2WxS3z2+UUt8ppVYqpUYmOGZwzq1My1EE4QfAYACnAFgad9+XAM6K/T4OwKTY77kAlgDoHfu7GYCcuP0uAfBK/LGy7ceJ/ordrgPQInb//wA42+/X5mdf1dnvJACr69yX1eeWE33F8yrh/8GrAfw99nsegDUAOkTlvHKqv3huJeyrWwBMjf3eEsBCAA2icm450VcROq9KAJwS+/0YAGUAegB4GMDdsfvvBvBQ7PceABYDaAygI4DvEeBYK9QjwVrrjwDsqHN3NwAfxX6fA+DS2O8jACzRWi+O7btda30EAJRSPwJwB4AHXG+0jxzqr04AyrTWFbHt5sbtkzUs9lW8qwC8avwRhXPLob7ieSXi+0oDyFdK5QJoCuAQgD1ANM4rwLH+4rkl4vuqB4B/xfbbCmAXgH5ANM4th/oqKudVudb6q9jvlQCWA2gDYAwk8Efs9qLY72MgX0YPaq1/APAdgP5AMM+tUAfBSSwFcGHs98sBlMZ+7wpAK6VmK6W+UkrdFbfPJACPAdjnXTMDw2p/fQegu1KqQ+zD5qK4fbJdsr6KdyXigmBE99yy2lc8r0R8X00HsBdAOWTE6VGttfHBHdXzCrDeXzy3RHxfLQYwRimVq5TqCKBv3GNRPbes9lXkziulVAcAJwP4HEArrXU5IIEyZJQckAB5fdxuG2L3AQE8t7IxCB4H4Bal1ELI0P2h2P25AM4AcE3s9mKl1NmxfMTOWuvXfWmt/yz1l9Z6J4BfAPgHgH9DLjke9rrRPknWVwAApdQAAPu01ktjf0f53LLUVzyvEvZVfwBHALSGXFa8UynVKeLnFWCxv3huJeyrFyHByQIATwL4FMDhiJ9blvoqaudVbBT3/wD8h9Z6T6pNE9yng3pu5frdAKdprVdALuVDKdUVwPmxhzYA+FBrvS322LuQnKAqAH2VUmsg/dFSKTVPaz3E46b7IoP++pfW+i3EVmdRSt0I+eDJein6yvBjHD0KPAgRPbcy6CvwvKrXV1cDmKW1rgawVSn1CeQybDNE9LwCMuqv1Ty3ju4rrfVhAL82tlNKfQpgFYCzENFzK4O+isx7llKqISQAfllr/Vrs7i1KqRKtdblSqgTA1tj9G3D0iHhbAJsQ0M/DrBsJVkq1jN02APBbAH+JPTQbQC+lVF7s0sVZAL7VWv+31rq11roDZMSzzO9/FC9Z7a86+xQB+CWA571utx9S9JVx3+UA/m7cF+Vzy2pf1dmH55VYB2CYEvkABgJYEeXzCrDeX3X24bklf+fF+ghKqeGQkc1Ifx5a7as6+2TteaWUUgBeALBca/143EMzAIyN/T4WwJtx9/9YKdU4lj7SBcAXQT23Qj0SrJR6FcAQAM2VUhsA3AfgR0qpW2KbvAZgKiCXW5VSj0NmgGoA72qt3/G+1f5xsL/+rJTqHfv991rrMq9eg1es9FXMYAAbtNarPW1oADjYVzyvju6rZ2K/L4VcYpyqtV7ibYv95WB/8dw6uq9aApitlKoBsBHATz1urq8c7KusP68AnA55zd8opRbF7rsHwIMApimlrod8Ab0cALTWy5RS0yCDZocB3GIUIQgirhhHRERERJGTdekQRERERETpMAgmIiIioshhEExEREREkcMgmIiIiIgih0EwEREREUUOg2AiIiIiihwGwUREREQUOQyCiYiIiChy/h8bxNvLQrPC7gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,10))\n",
    "ax = fig.add_subplot(111)\n",
    "bk_cycles.plot(ax=ax, style=['r--', 'b-']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Christiano-Fitzgerald approximate band-pass filter: Inflation and Unemployment"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Christiano-Fitzgerald filter is a generalization of BK and can thus also be seen as weighted moving average. However, the CF filter is asymmetric about $t$ as well as using the entire series. The implementation of their filter involves the\n",
    "calculations of the weights in\n",
    "\n",
    "$$y_{t}^{*}=B_{0}y_{t}+B_{1}y_{t+1}+\\dots+B_{T-1-t}y_{T-1}+\\tilde B_{T-t}y_{T}+B_{1}y_{t-1}+\\dots+B_{t-2}y_{2}+\\tilde B_{t-1}y_{1}$$\n",
    "\n",
    "for $t=3,4,...,T-2$, where\n",
    "\n",
    "$$B_{j} = \\frac{\\sin(jb)-\\sin(ja)}{\\pi j},j\\geq1$$\n",
    "\n",
    "$$B_{0} = \\frac{b-a}{\\pi},a=\\frac{2\\pi}{P_{u}},b=\\frac{2\\pi}{P_{L}}$$\n",
    "\n",
    "$\\tilde B_{T-t}$ and $\\tilde B_{t-1}$ are linear functions of the $B_{j}$'s, and the values for $t=1,2,T-1,$ and $T$ are also calculated in much the same way. $P_{U}$ and $P_{L}$ are as described above with the same interpretation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The CF filter is appropriate for series that may follow a random walk."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-2.5364584673346338, 0.10685366457233536, 9)\n"
     ]
    }
   ],
   "source": [
    "print(sm.tsa.stattools.adfuller(dta['unemp'])[:3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-3.0545144962572355, 0.030107620863485937, 2)\n"
     ]
    }
   ],
   "source": [
    "print(sm.tsa.stattools.adfuller(dta['infl'])[:3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            infl_cycle  unemp_cycle\n",
      "1959-03-31    0.237927    -0.216867\n",
      "1959-06-30    0.770007    -0.343779\n",
      "1959-09-30    1.177736    -0.511024\n",
      "1959-12-31    1.256754    -0.686967\n",
      "1960-03-31    0.972128    -0.770793\n",
      "1960-06-30    0.491889    -0.640601\n",
      "1960-09-30    0.070189    -0.249741\n",
      "1960-12-31   -0.130432     0.301545\n",
      "1961-03-31   -0.134155     0.788992\n",
      "1961-06-30   -0.092073     0.985356\n"
     ]
    }
   ],
   "source": [
    "cf_cycles, cf_trend = sm.tsa.filters.cffilter(dta[[\"infl\",\"unemp\"]])\n",
    "print(cf_cycles.head(10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(14,10))\n",
    "ax = fig.add_subplot(111)\n",
    "cf_cycles.plot(ax=ax, style=['r--','b-']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Filtering assumes *a priori* that business cycles exist. Due to this assumption, many macroeconomic models seek to create models that match the shape of impulse response functions rather than replicating properties of filtered series. See VAR notebook."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.8.2rc2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
