{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Time Series Filters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "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": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "dta = sm.datasets.macrodata.load_pandas().data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "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": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "dta.index = index\n",
    "del dta[\"year\"]\n",
    "del dta[\"quarter\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "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": {
    "execution": {
 
 
 
 
    }
   },
   "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": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
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6RGEHAAAAANSzrTlF+mJ9tiTpnpFdTE7TcLxtVrWNCDzp51vrMAsAAAAAAEd5dtF2GYZ0Ya84JbWymx2nyaCwAwAAAADqTerew/pua55sVoumndvZ7DhNCoUdAAAAAFAvDMPQUwu3S5Iu79daHaKCTE7UtFDYAQAAAAD14pedB7Uy47B8vKy685xEs+M0ORR2AAAAAECdyyuq0ONfb5EkpQxuq/hQf5MTNT2sEg8AAAAAqFNLduTrrg/SdKjUKbu/t24d1tHsSE0ShR0AAAAAUCeqXW49/90OvfzTbhmG1DU2WC9d008RQb5mR2uSKOwAAAAAgFOWV1Sh295bq9V7CiRJ1wxqo7+O7i4/b5vJyZouCjsAAAAA4JQcLnXq6tdXaHd+qYJ8vTTj0p4a0zve7FhNHoUdAAAAAHDSSiqrdcO/V2l3fqni7H56b9JgtY8MNDtWs8Aq8QAAAACAk1JZ7dItc1O1PsuhsABvzZ04kLJehyjsAAAAAIBac7kN3fVBmpbuOqgAH5v+fcNAdYoONjtWs8Il8QAAAACAWql2ufXXzzdrwcZcedssei2lv/okhJodq9mhsAMAAAAATtjqPYf11882aVtusSwW6V9X9dXpiZFmx2qWKOwAAAAAgD90sKRS//hmmz5OzZIkhQV467GLknRBzziTkzVfFHYAAAAAwHEt2JijBz7ZoKKKaknS1QMTdN+orgoL9DE5WfNGYQcAAAAA/K6tOUWaOi9NTpdbPeJD9PeLk9SvTZjZsVoECjsAAAAA4Jgqqlyesn5212i9lpIsLxubjTUUfqUBAAAAAMf0j2+2afuBYkUG+eqpy3tR1hsYv9oAAAAAgKP8uD1Ps5ftkSQ9c0UvRQb5mhuoBaKwAwAAAABqOFhSqXs/2iBJun5oOw3rEm1yopaJwg4AAAAA8DAMQ/d/vEEHSyrVOSZID5zf1exILRaFHQAAAADg8ebSDH2/LU8+Nqv+dVVf+XnbzI7UYlHYAQAAAACSpJ935Gv6gq2SpD9f0FXd4kJMTtSyUdgBAAAAANqVV6Lb31srtyGN699aE4a2MztSi0dhBwAAAIAWzlFWpUlvr1FxRbX6tw3T3y9OksViMTtWi0dhBwAAAIAWrNrl1m3vrVXGwVK1CvXXqynJ8vXivvXGgMIOAAAAAC2UYRh6/OutWrrroPy9bXrtumT2W29EKOwAAAAA0EI9v3iHZi/bc+T/r+ytHvF2cwOhBgo7AAAAALRAL3y/Uy/8sEuS9PDo7jovKc7kRPgtCjsAAAAAtDAv/7RLzy3eIenI9m03nt7e5EQ4Fgo7AAAAALQgry9J11MLt0uS7juvi24+s6PJifB7KOwAAAAA0EK88Uu6nliwVZJ097mddeuwTiYnwvF4mR0AAAAAAFD/Xv5pl2dmfcrZnTRlRKLJifBHKOwAAAAA0IwZhqF/fb9T//xupyRp6jmJupOy3iRQ2AEAAACgmTIMQ09/u10v/7Rb0pF71rkMvumgsAMAAABAM2QYhh7/eqveXJohSfrLhd100xkdTE6F2qCwAwAAAEAz43Yb+tsXmzV3xV5J0t8v6qGUIe3MDYVao7ADAAAAQDPidhv68/yNmrc6UxaL9I9Le+rKAW3MjoWTQGEHAAAAgGai2uXWfR9v0Kfr9stqkZ65orcu7dfa7Fg4SRR2AAAAAGgGqlxu3fVBmr7akCOb1aJ/XtlHY3rHmx0Lp8Ba2ycsWbJEY8aMUXx8vCwWiz777DPPY1VVVbr//vvVs2dPBQYGKj4+Xtddd52ys7NrnKOyslJ33HGHIiMjFRgYqLFjxyorK6vGmIKCAqWkpMhut8tutyslJUWFhYU1xuzbt09jxoxRYGCgIiMjNWXKFDmdztq+JQAAAABo0gzD0N0frtdXG3LkbbPopfH9KOvNQK0Le2lpqXr37q2ZM2ce9VhZWZnWrl2rv/71r1q7dq0+/fRT7dixQ2PHjq0xburUqZo/f77mzZunpUuXqqSkRKNHj5bL5fKMGT9+vNLS0rRw4UItXLhQaWlpSklJ8Tzucrl04YUXqrS0VEuXLtW8efP0ySefaNq0abV9SwAAAADQpL34wy59uT5b3jaLZqUk67ykWLMjoQ5YDMMwTvrJFovmz5+viy+++HfHrF69WgMHDtTevXvVpk0bORwORUVFae7cubryyislSdnZ2UpISNCCBQs0atQobd26Vd27d9eKFSs0aNAgSdKKFSs0ZMgQbdu2TV26dNE333yj0aNHKzMzU/HxR/7laN68ebr++uuVl5enkJCQo7JUVlaqsrLS83lRUZESEhLkcDiOOR4AAAAAGruFm3J1yzupkqSnLuulcQMSTE6E4ykqKpLdbj+hHlrrGfbacjgcslgsCg0NlSSlpqaqqqpKI0eO9IyJj49XUlKSli1bJklavny57Ha7p6xL0uDBg2W322uMSUpK8pR1SRo1apQqKyuVmpp6zCwzZszwXGJvt9uVkMBvZAAAAABN19acIt39YZok6YbT2lHWm5l6LewVFRV64IEHNH78eM+/HOTm5srHx0dhYWE1xsbExCg3N9czJjo6+qjzRUdH1xgTExNT4/GwsDD5+Ph4xvzWgw8+KIfD4fnIzMw85fcIAAAAAGY4VFKpm+asUZnTpdM7ReqhC7qZHQl1rN5Wia+qqtJVV10lt9utl19++Q/HG4Yhi8Xi+fx///9UxvwvX19f+fr6nkh8AAAAAGi0nNVu/endtdpfWK52EQGaOb6vvGz1fgE1Gli9fEWrqqo0btw4ZWRkaPHixTWuy4+NjZXT6VRBQUGN5+Tl5XlmzGNjY3XgwIGjzpufn19jzG9n0gsKClRVVXXUzDsAAAAANCdzlu3RqozDCvL10hsT+is0wMfsSKgHdV7Y/1vWd+7cqe+++04RERE1Hk9OTpa3t7cWL17sOZaTk6NNmzZp6NChkqQhQ4bI4XBo1apVnjErV66Uw+GoMWbTpk3KycnxjFm0aJF8fX2VnJxc128LAAAAABqFKpdbb/2aIUl66MJu6hQdbHIi1JdaXxJfUlKiXbt2eT7PyMhQWlqawsPDFR8fr8svv1xr167VV199JZfL5ZkFDw8Pl4+Pj+x2uyZOnKhp06YpIiJC4eHhuueee9SzZ0+dc845kqRu3brpvPPO06RJkzRr1ixJ0s0336zRo0erS5cukqSRI0eqe/fuSklJ0dNPP63Dhw/rnnvu0aRJk1jxHQAAAECztWBjjnIcFYoM8tWl/VqZHQf1qNaFfc2aNRo+fLjn87vvvluSNGHCBD3yyCP64osvJEl9+vSp8bwff/xRw4YNkyQ9//zz8vLy0rhx41ReXq4RI0Zo9uzZstlsnvHvvvuupkyZ4llNfuzYsTX2frfZbPr6669166236rTTTpO/v7/Gjx+vZ555prZvCQAAAACaBMMw9Pov6ZKkCUPaytfL9gfPQFN2SvuwN3W12f8OAAAAAMy2Iv2Qrnpthfy8rVr2wAiFB3LvelPTqPZhBwAAAADUjTd+OXLv+mX9WlPWWwAKOwAAAAA0Aen5Jfp+25HdtG48vb3JadAQKOwAAAAA0AS89WuGDEM6p1u0OkYFmR0HDYDCDgAAAACNXEGpUx+nZkmSJp7eweQ0aCgUdgAAAABo5N5duVcVVW4ltQrR4A7hZsdBA6GwAwAAAEAjluMo1+xleyRJN53eQRaLxdxAaDAUdgAAAABopA6WVOqaN1bqYIlTHaMCdWGvOLMjoQFR2AEAAACgEXKUVSnlzVVKzy9Vq1B/vT1xkLxtVLiWhK82AAAAADQyJZXVun72Km3NKVJkkK/euWmQWoX6mx0LDYzCDgAAAACNSEWVS5PmrNG6fYUKDfDWOzcNVPvIQLNjwQReZgcAAAAAAEiGYWjBxlw9u2i70g+WKtDHpjk3DFTX2BCzo8EkFHYAAAAAMNmvuw7qyYXbtCHLIUkKD/TRK9f0U++EUHODwVQUdgAAAABoAIZh6Iv12Vqy46Aqq11yVrvldLl1qMSpjfuPFPVAH5tuOqODJp3ZQUG+1LWWjt8BAAAAAFDP9heW68FPN2rJjvxjPu5ts+iaQW11+9mdFBnk28Dp0FhR2AEAAACgnrjdht5btU8zFmxVqdMlHy+rbhjaTrF2P/l4WeVjs8rX26bktmGsAo+jUNgBAAAAoB7sO1Sm+z5ZrxXphyVJ/duG6cnLe6ljVJDJydBUUNgBAAAAoA4ZhqEPVmfq719tUanTJX9vm+4/r4uuG9JOVqvF7HhoQijsAAAAAFBH8osr9eCnG/Td1jxJ0sD24Xrm8t5qExFgcjI0RRR2AAAAAKgDi7cc0P2fbNDhUqd8bFbdM6qzJp7eQTZm1XGSKOwAAAAAcIoWbMzRbe+tlWFIXWOD9c+r+qhrbIjZsdDEUdgBAAAA4BSsSD+kqfPSZBjSFcmt9fglSfL1spkdC80AhR0AAAAATtK23CJNenuNnC63RnaP0T8u68Ul8KgzVrMDAAAAAEBTlFVQpglvrVJxRbUGtgvXC1f3payjTlHYAQAAAKCWDpVUasJbq3SgqFKdY4L0+nX95efNZfCoW1wSDwAAAAD/UeVy68lvtmnjfodG9YjVmN7xigr29Ty+v7Bcby3N0LxV+1TqdCne7qc5Nw6UPcDbxNRorijsAAAAACCpsMypW99dq2W7D0mSVmYc1uNfb9FpnSJ1flKcVmYc0lcbcuRyG5KOrAY/c3xfxdn9zYyNZozCDgAAAKBF2HOwVPd/skFuw9A1g9rqgp5x8vE6cpdwen6JJs5Zo4yDpQr0semG09pr6a6DSsss1C87D+qXnQc95zmtU4QmndFBZ3WOksXCPeuoPxbDMAyzQ5ilqKhIdrtdDodDISHskQgAAAA0V99szNF9H29QcWW151hkkK/GD0xQt7gQPfDpRjnKq9Qq1F9vTOivbnFH+sGeg6X6Yn22ftiWp3YRAbrpjA5KamU3622gGahND6WwU9gBAACAZstZ7daMb7bq37/ukSQNaBem0zpF6v1V+3SgqLLG2D4JoXrtumRFB/uZkBQtRW16KJfEAwAAAGg2KqpcyiuqVG5RhXKLKvTm0gytzyyUJE0+q4PuGdlF3jarbhveSd9uztWcZXu0ek+BLuoTrycv68VK72hUKOwAAAAAmrzswnJd88ZKZRwsPeoxu7+3nr2it87pHuM55m2zanSveI3uFa+iiiqF+LHKOxofCjsAAACAJm/Osj2esu7rZVWs3U+xIX5qHxmo24Z3UkJ4wO8+l7KOxorCDgAAAKBJq6hy6cM1mZKkl8b30wU9Y1m9Hc2C1ewAAAAAAHAqFm7KVUFZleLsfhrVI4ayjmaDwg4AAACgSXtnxV5J0tUD28jLRsVB88HvZgAAAABN1rbcIq3ZWyCb1aKrBiSYHQeoUxR2AAAAAE3Wuyv2SZJGdo9RdAj7p6N5obADAAAAaJJKK6s1f91+SdK1g9uanAaoexR2AAAAAE3S52nZKqmsVvvIQA3pEGF2HKDOUdgBAAAANDmGYXgWm7tmUBtZrawMj+aHwg4AAACgyVmXWagtOUXy8bLq8uTWZscB6oWX2QEAAAAA4EQZhqGtOcV6btEOSdLoXnEKDfAxORVQPyjsAAAAABq9Tfsd+mpDjr7ZlKO9h8okSRaLdN2QduYGA+oRhR0AAABAo/ZJapamfbTe87mvl1XDukRp/KC26pMQal4woJ5R2AEAAAA0WtUut57/7sjl72d1jtK4/gka1iVKgb5UGTR//C4HAAAA0Ggt3JyrrIJyhQf6aFZKsvy8bWZHAhoMq8QDAAAAaJQMw9DrS9IlSdcNaUtZR4tDYQcAAADQKK3KOKz1WQ75elmVMrit2XGABkdhBwAAANAovf7Lkdn1y5NbKyLI1+Q0QMOjsAMAAABodHbllei7rXmyWKSJp7c3Ow5gCgo7AAAAgEbnzaVHZtfP7RajDlFBJqcBzEFhBwAAANCoHCyp1Cdr90uSJp3ZweQ0gHko7AAAAAAalbeX75Wz2q0+CaHq3zbM7DiAaSjsAAAAABqNoooqzV2+R5J085kdZLFYzA0EmIjCDgAAAKDRmLFgmwrKqtQhKlCjesSaHQcwFYUdAAAAQKOwbPdBvb9qnyRpxiU9ZbMyu46WjcIOAAAAwHTlTpce/HSjJOmaQW00qEOEyYkA81HYAQAAAJju+e92aO+hMsXZ/fTA+V3NjgM0ChR2AAAAAKZan1moN345su/6E5ckKdjP2+REQONAYQcAAABgGme1W/d/skFuQ7qoT7zO7hpjdiSg0aCwAwAAADCFYRh6ZtF2bcstVliAtx4e3d3sSECj4mV2AAAAAAAtj2EYevzrrXpzaYYk6ZGxPRQR5GtyKqBxobADAAAAaFAut6E/f7pRH6zJlCQ9PLq7LurTyuRUQONDYQcAAADQYJzVbt31YZq+3pAjq0X6x2W9NK5/gtmxgEaJwg4AAACgQVRUufSnd1L14/Z8edss+tdVfXVBzzizYwGNFoUdAAAAQL2rcrl1+3tr9eP2fPl5W/Xqtcka1iXa7FhAo0ZhBwAAAFCv3G5D93y0Xt9tzZOvl1X/vn6ghnSMMDsW0OixrRsAAACAemMYhv76+SZ9npYtL6tFr16bTFkHThCFHQAAAEC9MAxD/1i4Te+u3CeLRXr+yj4a3pXL4IETRWEHAAAAUC9mLUnXrJ/TJUkzLumpMb3jTU4ENC0UdgAAAAB1LqugTM8u2i5JeuiCbrpqYBuTEwFND4UdAAAAQJ179efdqnIZGtoxQpPO7GB2HKBJorADAAAAqFM5jnJ9uDpLkjRlRKLJaYCmi8IOAAAAoE7N+jldTpdbA9uHa3AHVoQHThaFHQAAAECdySuq0Hur9kmS7mR2HTglFHYAAAAAdWbWknQ5q91Kbhumoey3DpwSCjsAAACAOpFfXKl3V+6VdOTedYvFYnIioGmjsAMAAACoE2/8kq6KKrd6J4TqzMRIs+MATR6FHQAAAMApO1zq1NwVR2bX7xzRidl1oA5Q2AEAAACcshe+36kyp0tJrUI0vEu02XGAZoHCDgAAAOCUrNlzWHOW75Ek3X9eV2bXgTpCYQcAAABw0iqqXLrv4w0yDGlc/9Y6IzHK7EhAs0FhBwAAAHDS/vndTqUfLFV0sK8eurC72XGAZoXCDgAAAOCkbMgq1Ou/pEuSnrikp+z+3iYnApoXCjsAAACAWnNWu3Xfxxvkchsa0zte53aPMTsS0OxQ2AEAAADU2ss/7dK23GKFB/rokTFcCg/UBwo7AAAAgFr5YdsBzfxhlyTpkbE9FBHka3IioHmisAMAAAA4Yb/szNct76xVtdvQxX3iNaZXnNmRgGaLwg4AAADghKxIP6RJb6+Rs9qtkd1j9PQVvdlzHahHFHYAAAAAfyh172HdOHu1KqrcGt4lSi+O7ytvG3UCqE/8CQMAAABwXBuyCnX9W6tV5nTp9E6ReuXaZPl62cyOBTR7FHYAAAAAv2vngWJNeGuViiurNbB9uF67Lll+3pR1oCFQ2AEAAAAcU+bhMqW8uUoFZVXqnRCqt64foAAfL7NjAS1GrQv7kiVLNGbMGMXHx8tiseizzz6r8bhhGHrkkUcUHx8vf39/DRs2TJs3b64xprKyUnfccYciIyMVGBiosWPHKisrq8aYgoICpaSkyG63y263KyUlRYWFhTXG7Nu3T2PGjFFgYKAiIyM1ZcoUOZ3O2r4lAAAAAL+RV1yhlDdXKreoQp1jgjT7+gEK8qWsAw2p1oW9tLRUvXv31syZM4/5+FNPPaXnnntOM2fO1OrVqxUbG6tzzz1XxcXFnjFTp07V/PnzNW/ePC1dulQlJSUaPXq0XC6XZ8z48eOVlpamhQsXauHChUpLS1NKSorncZfLpQsvvFClpaVaunSp5s2bp08++UTTpk2r7VsCAAAA8D8c5VW67s1V2nOoTK3D/DV34iCFBfqYHQtocSyGYRgn/WSLRfPnz9fFF18s6cjsenx8vKZOnar7779f0pHZ9JiYGD355JOaPHmyHA6HoqKiNHfuXF155ZWSpOzsbCUkJGjBggUaNWqUtm7dqu7du2vFihUaNGiQJGnFihUaMmSItm3bpi5duuibb77R6NGjlZmZqfj4eEnSvHnzdP311ysvL08hISF/mL+oqEh2u10Oh+OExgMAAADNXUlltSa8tUqpewsUFeyrj28ZorYRgWbHApqN2vTQOr2HPSMjQ7m5uRo5cqTnmK+vr8466ywtW7ZMkpSamqqqqqoaY+Lj45WUlOQZs3z5ctntdk9Zl6TBgwfLbrfXGJOUlOQp65I0atQoVVZWKjU19Zj5KisrVVRUVOMDAAAAwBG5jgpd8epype4tUIifl96+cSBlHTBRnRb23NxcSVJMTEyN4zExMZ7HcnNz5ePjo7CwsOOOiY6OPur80dHRNcb89nXCwsLk4+PjGfNbM2bM8NwTb7fblZCQcBLvEgAAAGh+tmQX6eKXftXWnCJFBvnonZsGqVscV6ECZqqXVeItFkuNzw3DOOrYb/12zLHGn8yY//Xggw/K4XB4PjIzM4+bCQAAAGgJftqepyteXabcogp1ig7S/FtPU6/WoWbHAlq8Oi3ssbGxknTUDHdeXp5nNjw2NlZOp1MFBQXHHXPgwIGjzp+fn19jzG9fp6CgQFVVVUfNvP+Xr6+vQkJCanwAAAAALdmHqzM1cc4alTpdGtwhXJ/cMlQJ4QFmxwKgOi7s7du3V2xsrBYvXuw55nQ69fPPP2vo0KGSpOTkZHl7e9cYk5OTo02bNnnGDBkyRA6HQ6tWrfKMWblypRwOR40xmzZtUk5OjmfMokWL5Ovrq+Tk5Lp8WwAAAECzlLq3QA/O3yiX29ClfVvp7RsHyR7gbXYsAP9R640US0pKtGvXLs/nGRkZSktLU3h4uNq0aaOpU6dq+vTpSkxMVGJioqZPn66AgACNHz9ekmS32zVx4kRNmzZNERERCg8P1z333KOePXvqnHPOkSR169ZN5513niZNmqRZs2ZJkm6++WaNHj1aXbp0kSSNHDlS3bt3V0pKip5++mkdPnxY99xzjyZNmsTMOQAAAPAHiiuqNPWDdXK5DY3tHa9nx/X+w9tYATSsWhf2NWvWaPjw4Z7P7777bknShAkTNHv2bN13330qLy/XrbfeqoKCAg0aNEiLFi1ScHCw5znPP/+8vLy8NG7cOJWXl2vEiBGaPXu2bDabZ8y7776rKVOmeFaTHzt2bI293202m77++mvdeuutOu200+Tv76/x48frmWeeqf2vAgAAANDCPPz5ZmUeLlfrMH89fkkSZR1ohE5pH/amjn3YAQAA0BJ9nrZfd85Lk9UifTh5iPq3Czc7EtBimLYPOwAAAIDGLfNwmf4yf5Mk6Y6zEynrQCNGYQcAAABaiGqXW1M/SFNxZbWS24bpjrM7mR0JwHFQ2AEAAIAWYtaSdKXuLVCwr5f+eWUfedmoA0Bjxp9QAAAAoAXYd6hML3y/U5L0t7E92GsdaAIo7AAAAEAzZxiG/vbFJlVWuzW0Y4Qu69fK7EgATgCFHQAAAGjmvt2cqx+358vbZtFjF7GFG9BUUNgBAACAZqy0slqPfrlFkjT5zI7qFB1kciIAJ4rCDgAAADRj//xuh3IcFWoTHqDbWRUeaFIo7AAAAEAztTWnSG/9ukeS9OhFPeTnbTM3EIBaobADAAAAzVBltUt/+WyTXG5D5yfFaniXaLMjAaglCjsAAADQzBwqqdQ1r69U6t4CBfrY9PCY7mZHAnASvMwOAAAAAKDubM8t1sQ5q5VVUK5gPy+9ck2y4uz+ZscCcBIo7AAAAEAz8eO2PN3x/jqVVFarbUSA3pwwgFXhgSaMwg4AAAA0A++t3Ke/fLZRbkMa3CFcr1yTrLBAH7NjATgFFHYAAACgift+6wFPWb9qQIIeuyhJPl4sVwU0dRR2AAAAoAnbkl2kO95f5ynrMy7tKYvFYnYsAHWAf3YDAAAAmqi8ogpNnLNaZU6XhnaM0N8vTqKsA80IhR0AAABogsqdLt309hrlOCrUISpQr1yTLG8bP94DzQl/ogEAAIAmxu02dPeHadqQ5VBYgLf+ff0A2QO8zY4FoI5R2AEAAIAmpMrl1rSP1uubTbnysVn12nX91TYi0OxYAOoBi84BAAAATURFlUu3v7dW323Nk81q0XNX9taAduFmxwJQTyjsAAAAQBNQXFGlm+as0cqMw/L1surla/ppRLcYs2MBqEcUdgAAAKCRO1RSqev/vVob9zsU7OulNyb016AOEWbHAlDPKOwAAABAI1btcivlzVXaklOkiEAfzblxoJJa2c2OBaABUNgBAACARuyDNZnaklOksABvfXjLEHWMCjI7EoAGwirxAAAAQCNVUlmt5xfvlCTdOSKRsg60MBR2AAAAoJF6bUm6DpZUql1EgMYPamt2HAANjMIOAAAANEIHiir0+pJ0SdL953WVjxc/ugMtDX/qAQAAgEbo+cU7VF7lUnLbMJ2XFGt2HAAmoLADAAAAjcyOA8X6cE2mJOnPF3SVxWIxOREAM1DYAQAAgEZmxoKtchvS+UmxSm4bbnYcACahsAMAAACNyMJNOfpxe768rBbdd15Xs+MAMBH7sAMAAACNgLParWcXbdes/yw0d+3gtmofGWhyKgBmorADAAAAJkvPL9Gd89K0cb9DknTt4DZ64Hxm14GWjsIOAAAAmMQwDH20Jkt/+2KzyqtcCg3w1lOX9dLIHqwKD4DCDgAAAJjCUValP8/fqK835kiShnaM0HPj+ijW7mdyMgCNBYUdAAAAaGCrMg5r6rx1ynZUyMtq0T2juujmMzrIamX7NgD/j8IOAAAANJBql1svfL9TM3/cJbchtYsI0L+u6qveCaFmRwPQCFHYAQAAgAZQWObULe+kakX6YUnSFcmt9cjYHgr05UdyAMfG3w4AAABAPdt3qEzXz16l9PxSBfl6afqlPTW2d7zZsQA0chR2AAAAoB6t3VegSXPW6FCpU3F2P711/QB1iwsxOxaAJoDCDgAAANQDwzD0zaZc3fVBmiqr3eoRH6K3rh+gmBBWgQdwYijsAAAAQB2oqHJpQ5ZD6/YVaN2+Qq3dV6C84kpJ0oiu0Xrh6r7crw6gVvgbAwAAADgJFVUurd1XoBXph7Ui/ZDS9hXK6XLXGONltWjC0Hb68wXdZGPLNgC1RGEHAAAAamneqn165MvNqqiqWdCjg33Vr02Y+rYJVb+2YUqKt8vfx2ZSSgBNHYUdAAAAqIWFm3L14PyNMowjBX1IxwgN7hChIR0i1DYiQBYLM+kA6gaFHQAAADhBa/Yc1p3z1skwpPGD2uiJi5Mo6ADqjdXsAAAAAEBTsCuvWBPnrFFltVvndIvRY2N7UNYB1CsKOwAAAPAHDhRVaMJbq+Uor1LfNqF68eq+8rLxozSA+sXfMgAAAMBx7DlYqglvrdL+wnK1jwzUmxMGsJAcgAbBPewAAADAMVS73HpzaYaeW7xDldVuRQb5as4NAxUe6GN2NAAtBIUdAAAA+I0t2UW6/5MN2rjfIUk6vVOkZlzaUwnhASYnA9CSUNgBAACA/zFn2R79/astqnYbCvHz0l9Gd9cVya1ZYA5Ag6OwAwAAAP+xIv2QHv1ys9yGdH5SrB69qIeig/3MjgWghaKwAwAAAJIOlVTqznnr5Daky5Nb65krepsdCUALxyrxAAAAaPEMw9A9H63XgaJKdYwK1GMX9TA7EgBQ2AEAAIA3l2box+358vGyaub4fgrw4UJUAOajsAMAAKBFW59ZqCcXbpMkPTy6u7rFhZicCACOoLADAACgxXKUV+mO99epymXogp6xumZQG7MjAYAHhR0AAAAt0uFSp655Y4X2HS5T6zB/zbi0F1u3AWhUuDkHAAAALU5eUYWufXOldhwoUUSgj16/rr/s/t5mxwKAGijsAAAAaFH2F5brmtdXaM+hMsWE+OrdmwarU3SQ2bEA4CgUdgAAALQYew6W6po3Vmp/Yblah/nrvZsGq01EgNmxAOCYKOwAAABoEQ6WVOrq11cox1GhDpGBenfSIMXZ/c2OBQC/i8IOAACAZq/a5dYd7607UtajAvXBzUMUFexrdiwAOC5WiQcAAECz9/Si7VqefkiBPja9lpJMWQfQJFDYAQAA0Kx9szFHs35OlyQ9fUVvdYoONjkRAJwYCjsAAACarV15Jbr34w2SpJvP7KALesaZnAgAThyFHQAAAM1SSWW1bnknVSWV1RrUPlz3jepidiQAqBUWnQMAAECz4qx268M1mXrpx13KcVQoJsRXM8f3k5eNuSoATQuFHQAAAM1ClcutT1Kz9OIPu7S/sFySFBvip1dZZA5AE0VhBwAAQJP347Y8PfLlZu09VCZJig721W3DO+nKAQny87aZnA4ATg6FHQAAAE1WjqNcj36xRQs350qSIoN89KdhnXTNoDYUdQBNHoUdAAAATY6z2q05y/bo+e92qMzpks1q0Y2ntdPUczor0JcfcQE0D/xtBgAAgEbNMAwtTz+k9ZkObc8t0rbcYqXnl8rpckuSktuG6fGLk9QtLsTkpABQtyjsAAAAaLTcbkMPfbZR76/KPOqxyCAf3Tuqi65ITpDVajEhHQDULwo7AAAAGiWX29ADn2zQR6lZslqk83vGqXtciLrEBKtLbLBah/nLYqGoA2i+KOwAAABodFxuQ/d+tF6frtsvm9Wi58b11kV9WpkdCwAaFIUdAAAAjUq1y627PlyvL9dny8tq0b+u6qsLe8WZHQsAGhyFHQAAAI1GlcutO+et04KNufK2WfTi1f10XlKs2bEAwBQUdgAAADQKzmq37nh/rb7dfEA+NqtevqafzukeY3YsADANhR0AAACmq6x26bZ31+q7rXny8bJq1rXJGt412uxYAGAqCjsAAABMVVHl0i3vpOqn7fny9bLq9ev668zOUWbHAgDTUdgBAABgmooqlya9vUa/7DwoP2+r3pwwQKd1ijQ7FgA0ChR2AAAAmKLc6dJNb6/Wr7sOKcDHpreuH6DBHSLMjgUAjQaFHQAAAA2u3OnSxDmrtWz3IQX62DT7xoEa0C7c7FgA0KhQ2AEAANCgypzVmjh7jZanHynrc24cqP6UdQA4CoUdAAAADabMWa0bZ6/WivTDCvL10pwbByi5LWUdAI6Fwg4AAIAGcXRZH6jktmFmxwKARovCDgAAgHpX5qzWDf9erZUZlHUAOFEUdgAAANSr0spq3TB7tVZlHFawr5fmTByofm0o6wDwRyjsAAAAqDellUdm1lftOVLW3544UH0p6wBwQijsAAAAqBc1yrqfl+ZOHKQ+CaFmxwKAJoPCDgAA0AK43IaW7T6oH7blqaLKLUmyWI481irUXxNPby8/b1udvNauvBJ9sjZL89fuV25RhYL9vPTOxEHqTVkHgFqx1vUJq6ur9Ze//EXt27eXv7+/OnTooMcee0xut9szxjAMPfLII4qPj5e/v7+GDRumzZs31zhPZWWl7rjjDkVGRiowMFBjx45VVlZWjTEFBQVKSUmR3W6X3W5XSkqKCgsL6/otAQAANFlbsov0xNdbNGTG90p5c5X+/esevb9qn95ftU/vrTzy8fS323X5q8u0v7D8pF+noNSpt5fv0UUv/apznvtZr/y0W7lFFYoM8qWsA8BJqvMZ9ieffFKvvvqq5syZox49emjNmjW64YYbZLfbdeedd0qSnnrqKT333HOaPXu2OnfurMcff1znnnuutm/fruDgYEnS1KlT9eWXX2revHmKiIjQtGnTNHr0aKWmpspmO/Kvv+PHj1dWVpYWLlwoSbr55puVkpKiL7/8sq7fFgAAQJNyqKRSf3pnrVbtOew5FhrgrfOT4hRn9/Mcq3YbemfFXm3aX6QxLy7VS+P7aUjHiBN6jSqXWz9tz9cnqVn6ftsBVbkMSZLNatGwzlG6LLm1RnSLlq9X3czcA0BLYzEMw6jLE44ePVoxMTF68803Pccuu+wyBQQEaO7cuTIMQ/Hx8Zo6daruv/9+SUdm02NiYvTkk09q8uTJcjgcioqK0ty5c3XllVdKkrKzs5WQkKAFCxZo1KhR2rp1q7p3764VK1Zo0KBBkqQVK1ZoyJAh2rZtm7p06fKHWYuKimS32+VwOBQSElKXvwwAAACmyXVU6Jo3Vmh3fql8bFaN6Bati/u20vAu0fLxOvoCy/2F5Zo8d4027S+SzWrRQxd00w2ntZPlv9fM/0ZJZbVe+nGXPlydqUOlTs/x7nEhuiy5tcb2jldUsG+9vT8AaMpq00Pr/JL4008/Xd9//7127NghSVq/fr2WLl2qCy64QJKUkZGh3NxcjRw50vMcX19fnXXWWVq2bJkkKTU1VVVVVTXGxMfHKykpyTNm+fLlstvtnrIuSYMHD5bdbveM+a3KykoVFRXV+AAAAGhO9h4q1eWvLtPu/FLF2f30zdQz9Mq1yRrVI/aYZV06cg/7x7cM1SV9W8nlNvTYV1t04+zVWpF+SP87t2MYhr7ekKMRz/6kV37arUOlTkUG+eqm09vrmzvP0II7z9DE09tT1gGgjtT5JfH333+/HA6HunbtKpvNJpfLpSeeeEJXX321JCk3N1eSFBMTU+N5MTEx2rt3r2eMj4+PwsLCjhrz3+fn5uYqOjr6qNePjo72jPmtGTNm6NFHHz21NwgAANBI7ThQrGvfWKm84kq1iwjQOzcNUuuwgBN6rp+3Tc+N662kVnZNX7BVP27P14/b89UjPkQ3ntZevVrb9fevt2rJjnxJUtuIAD14fled0y1GXrY6nwMCAKgeCvsHH3ygd955R++995569OihtLQ0TZ06VfHx8ZowYYJn3G8vsTIM43cvu/q9Mccaf7zzPPjgg7r77rs9nxcVFSkhIeGE3hcAAEBjVFJZrS3ZRdqQVaiZP+5SYVmVusQEa+5NAxUd7PfHJ/gfFotFE09vr2FdovTW0gx9sjZLm7OLNO2j9Z4xPl5W/emsjvrTsI51tqo8AODY6ryw33vvvXrggQd01VVXSZJ69uypvXv3asaMGZowYYJiY2MlHZkhj4uL8zwvLy/PM+seGxsrp9OpgoKCGrPseXl5Gjp0qGfMgQMHjnr9/Pz8o2bv/8vX11e+vlyiBQAAmra84go9t2iHVu05rIyDpfrfFYl6J4Rqzg0DFBrgc9Ln7xgVpCcu6al7RnbRe6v26e3le3SgqFJndo7So2N7qH1kYB28CwDAH6nzwl5WViarteZlUTabzbOtW/v27RUbG6vFixerb9++kiSn06mff/5ZTz75pCQpOTlZ3t7eWrx4scaNGydJysnJ0aZNm/TUU09JkoYMGSKHw6FVq1Zp4MCBkqSVK1fK4XB4Sj0AAEBzs3jLAd3/yQYd/p/F3uLsfuoRb1e/tqG6bkg7BfnWzY94YYE+um14J006o4OyCsrUPjLwD6+IBADUnTov7GPGjNETTzyhNm3aqEePHlq3bp2ee+453XjjjZKOXGo1depUTZ8+XYmJiUpMTNT06dMVEBCg8ePHS5LsdrsmTpyoadOmKSIiQuHh4brnnnvUs2dPnXPOOZKkbt266bzzztOkSZM0a9YsSUe2dRs9evQJrRAPAADQlJQ5q/X411v13sp9kqRucSG6d1Rn9Wodqsig+r2C0MfLqg5RQfX6GgCAo9V5YX/xxRf117/+Vbfeeqvy8vIUHx+vyZMn6+GHH/aMue+++1ReXq5bb71VBQUFGjRokBYtWuTZg12Snn/+eXl5eWncuHEqLy/XiBEjNHv2bM8e7JL07rvvasqUKZ7V5MeOHauZM2fW9VsCAAAw1YasQk2dl6b0g6WSpJvP7KBpIzuzvzkANHN1vg97U8I+7AAAoDGrrHbphe936tWf0+VyG4oN8dOz43rrtE6RZkcDAJyk2vTQOp9hBwAAwKnbkFWoez5arx0HSiRJF/aK0+MXJSks8OQXkwMANC0UdgAAgEbEWe3WP7/boVlLjsyqRwb56O8XJen8nnF//GQAQLNCYQcAAGgkDpZU6pa5qVqzt0CSNKZ3vB4d20PhzKoDQItEYQcAAGgEtmQXadLba7S/sFzBfl56+vJeOi+JWXUAaMko7AAAACZbuClHd32wXuVVLrWPDNQbE/qrI9uoAUCLR2EHAAAw0cwfduqZRTskSWckRmrm1f1kD/A2ORUAoDGgsAMAAJjk379meMr6Dae100MXdJOXzWpyKgBAY0FhBwAAMMGizbl67KstkqR7R3XRbcM7mZwIANDY8E+4AAAADWxDVqHunJcmw5CuHthGtw7raHYkAEAjRGEHAABoQFkFZbpx9hqVV7l0Zuco/f2iHrJYLGbHAgA0QhR2AACABuIor9KNs1frYEmlusYG66XxfblnHQDwu7iHHQAAoJ7lF1dq7oq9emfFXh0udSomxFdvXT9AwX6sBg8A+H0UdgAAgHqy80CxXv8lXZ+ty5bT5ZYktQ7z16yUZMWH+pucDgDQ2FHYAQAA6sFXG7I15f11chtHPu+TEKpJZ3TQqB4xXAYPADghFHYAAIA6tnTnQd31QZrchjSsS5TuODtRyW3DzI4FAGhiKOwAAAB1aH1moW6eu0ZVLkMX9ozTC1f3lc3KKvAAgNrjeiwAAIA6sju/RDfMXq0yp0undYrQc1f2pqwDAE4ahR0AAKAO5DoqdN2bq3S41KmereyaldJfvl42s2MBAJowLokHAAA4BQeKKjR3+V69u3KvCsqq1CEyULNvGKAgX37MAgCcGr6TAAAAnIQNWYV6a2mGvtqQo+r/LAXfITJQc24cqIggX5PTAQCaAwo7AABALc1dsVd//WyT5/OB7cJ14+ntdE43tmwDANQdCjsAAEAt7DhQrL9/tUWSdGHPON1yVkf1bG03ORUAoDmisAMAAJygymqX7pyXJme1W8O6RGnm+L6yWFgFHgBQP7hmCwAA4AQ9t3iHtuYUKTzQR09d3ouyDgCoVxR2AACAE7Ai/ZBeW5IuSZpxaU9FB/uZnAgA0NxR2AEAAP6Ao7xK0z5cL8OQruyfoFE9Ys2OBABoASjsAAAAx+FyG/rLZ5u0v7BcbSMC9PCY7mZHAgC0ECw6BwAA8Dv2F5brrnlpWrXnsKwW6blxfRToy49PAICGwXccAACAY/hqQ7Ye/HSjiiuqFeTrpemX9lRy2zCzYwEAWhAKOwAAwP8orazW377YrI9TsyRJfRJC9cJVfdUmIsDkZACAlobCDgAA8B/ZheW6cfZqbcstlsUi3T68k6aMSJS3jWV/AAANj8IOAAAgaXO2QzfOXq0DRZWKCvbVzKv7alCHCLNjAQBaMAo7AABo8X7cnqfb312rUqdLidFB+vcNA9Q6jEvgAQDmorADAIAWyzAMvbdqnx7+fLNcbkNDO0bolWuTZff3NjsaAAAUdgAA0PJUudz6akO2Xl+SoS05RZKkS/u10j8u7SUfL+5XBwA0DhR2AADQYhRVVGneqn369697lOOokCT5e9t0+9mddOuwjrJYLCYnBADg/1HYAQBAs2YYhtbsLdC8VZn6emO2KqrckqSoYF9dP7SdrhnURqEBPianBADgaBR2AADQLJU5q/XOir2atzpT6fmlnuNdY4N14+ntdVGfePl62UxMCADA8VHYAQBAs7M7v0R/eidVOw6USJICfGwa0yteVw5MUN+EUC59BwA0CRR2AADQrCzYmKN7P1qvUqdLUcG+uvvczhrTO15BvvzYAwBoWvjOBQAAmoUql1tPfrNNbyzNkCQNbB+umeP7KjrYz+RkAACcHAo7AABo0rILy/Xt5lx9nJqlzdlHtmibfGYH3Tuqi7xsbNEGAGi6KOwAAKDJOVRSqQ/XZGnh5lytzyz0HA/29dLTV/TWeUmx5oUDAKCOUNgBAECTsmz3QU15P00HSyolSRaL1L9tmEb1iNWY3vGKCeESeABA80BhBwAATYLbbejln3bpucU75DakxOgg3XBae53bPUZRwb5mxwMAoM5R2AEAQKN3uNSpqR+kacmOfEnSFcmt9dhFSfL3YR91AEDzRWEHAACNlmEYWrzlgP72xWblOCrk523VYxclaVz/BLOjAQBQ7yjsAACgUco4WKpHv9ysn7YfmVXvEBmol6/tp66xISYnAwCgYVDYAQBAo1LmrNZLP+7S60sy5HS55W2zaNIZHXTb8E4K9OVHFwBAy8F3PQAA0GgUV1TpileXa1tusSTpzM5RemRMd3WICjI5GQAADY/CDgAAGgWX29CU99dpW26xIoN89cQlSRrZPUYWi8XsaAAAmILCDgAAGoUnF27Tj9vz5edt1b+vH6Cere1mRwIAwFRWswMAAAB8tCZTry1JlyQ9c0VvyjoAAKKwAwAAk63Zc1h/nr9RkjRlRKJG94o3OREAAI0DhR0AAJhmV16JJs9NVZXL0PlJsZo6ItHsSAAANBrcww4AABpctcutN5Zm6PnFO1RZ7VaP+BA9O663rFYWmAMA4L8o7AAAoEFtznbo/k82aNP+IknSGYmRevaK3grw4ccSAAD+F98ZAQBAg3BWu/XC9zv1ys+75XIbsvt766+ju+uyfq3Yug0AgGOgsAMAgHqXnl+iO+elaeN+hyTpgp6xemRsD0UH+5mcDACAxovCDgAA6o1hGPpoTZYe+XKzypwu2f29Nf2SnrqwV5zZ0QAAaPQo7AAAoF44yqr05/kb9fXGHEnS4A7hev7KPoqz+5ucDACApoHCDgAA6pRhGPosbb+e+HqrDpY45WW16O6RnTX5zI6ysQo8AAAnjMIOAADqzK68Yv3ls01akX5YktQxKlDPjeuj3gmh5gYDAKAJorADAIBTVlHl0gvf79Trv6SrymXIz9uqO85O1KQzOsjHy2p2PAAAmiQKOwAAOCW78op1+3vrtC23WJI0omu0HhnbQwnhASYnAwCgaaOwAwCAk2IYhuatztSjX25WRZVbEYE+euKSnhrVI4Z91QEAqAMUdgAAUGuOsio9OH+DFmzMlSSd3ilSz43rregQ9lUHAKCuUNgBAECtFFVU6dJXftXu/FJ5WS26d1QXTTqjg6ysAA8AQJ2isAMAgBPmdhu6+4P12p1fqtgQP81KSWYFeAAA6gmFHQAAnLCXftyl77YekI+XVa9dl6xerUPNjgQAQLPFPisAAOCE/Lg9T899t0OS9PjFSZR1AADqGYUdAAD8ob2HSnXn++tkGNI1g9poXP8EsyMBANDsUdgBAMBxlTmrNXluqooqqtW3Taj+NqaH2ZEAAGgRKOwAAOC4Hv58s7blFisyyFevXJMsHy9+fAAAoCHwHRcAAPyuL9dn6+PULFkt0szxfRVrZ591AAAaCoUdAAAcU1ZBmf48f6Mk6bbhnTS4Q4TJiQAAaFko7AAA4CjVLrfu+iBNxf+5b33KiESzIwEA0OJQ2AEAwFFe/mm3Vu8pUJCvl/51ZV952/iRAQCAhsZ3XwAAUEPq3sP61/c7JUl/v7iH2kQEmJwIAICWicIOAAA8iiuqdOe8NLnchi7uE69L+rY2OxIAAC0WhR0AAHj8/astyiooV+swfz12cZLZcQAAaNEo7AAAQJK0eMsBfbgmSxaL9Ny4Pgrx8zY7EgAALRqFHQAA6FBJpR78dIMk6eYzOmhg+3CTEwEAAAo7AAAtnGEYemj+Jh0scapLTLDuOrez2ZEAAIAo7AAAtHifpe3Xws258rZZ9NyVveXnbTM7EgAAEIUdAIAWLbuwXA9/vlmSdOeIRPWIt5ucCAAA/BeFHQCAFsrlNnTPR+tVXFGtPgmhuuWsjmZHAgAA/4PCDgBAC/XKT7u0bPchBfjY9Ny43vKy8WMBAACNCd+ZAQBogVbvOaznv9spSfr7RUnqEBVkciIAAPBbFHYAAFqYwjKn7nx/nVxuQ5f2baXLklubHQkAABwDhR0AgBbEMAzd9/EGZTsq1D4yUI9dnGR2JAAA8Dso7AAAtCBvL9+rRVsOyMdm1YtX91WQr5fZkQAAwO+gsAMA0EJszSnSE19vlSQ9eEFXJbViCzcAABqzeins+/fv17XXXquIiAgFBASoT58+Sk1N9TxuGIYeeeQRxcfHy9/fX8OGDdPmzZtrnKOyslJ33HGHIiMjFRgYqLFjxyorK6vGmIKCAqWkpMhut8tutyslJUWFhYX18ZYAAGjSqlxu3fPRejldbo3oGq3rh7YzOxIAAPgDdV7YCwoKdNppp8nb21vffPONtmzZomeffVahoaGeMU899ZSee+45zZw5U6tXr1ZsbKzOPfdcFRcXe8ZMnTpV8+fP17x587R06VKVlJRo9OjRcrlcnjHjx49XWlqaFi5cqIULFyotLU0pKSl1/ZYAAKgTBaVOfbE+W6WV1Q3+2q8tSdfm7CLZ/b0147KeslgsDZ4BAADUjsUwDKMuT/jAAw/o119/1S+//HLMxw3DUHx8vKZOnar7779f0pHZ9JiYGD355JOaPHmyHA6HoqKiNHfuXF155ZWSpOzsbCUkJGjBggUaNWqUtm7dqu7du2vFihUaNGiQJGnFihUaMmSItm3bpi5duvxh1qKiItntdjkcDoWEhNTRrwAAoCVyuQ2VOqsV4ud9zMe3ZBdp0ttrtL+wXF1jg/Xm9QPUKtS/QbLtPFCsC19YKqfLrefG9dal/VgVHgAAs9Smh9b5DPsXX3yh/v3764orrlB0dLT69u2r119/3fN4RkaGcnNzNXLkSM8xX19fnXXWWVq2bJkkKTU1VVVVVTXGxMfHKykpyTNm+fLlstvtnrIuSYMHD5bdbveM+a3KykoVFRXV+AAA4FS53IZumL1afR5dpHs/Wq8cR3mNxxduytFlryzT/sIjx7flFuvil37VhqzCBsl278cb5HS5NbxLlC7p26reXxMAANSNOi/s6enpeuWVV5SYmKhvv/1Wt9xyi6ZMmaK3335bkpSbmytJiomJqfG8mJgYz2O5ubny8fFRWFjYccdER0cf9frR0dGeMb81Y8YMz/3udrtdCQkJp/ZmAQCQ9MpPu7RkR77chvRRapaGPf2Tnly4TY6yKv3ru5265Z21Kq9y6YzESC2Ycoa6xgYrv7hS42Yt18JNx/6eVVfeWpqhtMxCBft6afqlXAoPAEBTUueF3e12q1+/fpo+fbr69u2ryZMna9KkSXrllVdqjPvtDwyGYfzhDxG/HXOs8cc7z4MPPiiHw+H5yMzMPNG3BQDAMa3dV6Dnv9spSbrj7E4a2C5cldVuvfLTbg2Y/p2e/26HJOmG09rp39cPUPf4EH10yxCd1TlKFVVu/endVL2+JL1esqXnl+iZRdslSQ9d2E1x9oa5BB8AANSNOi/scXFx6t69e41j3bp10759+yRJsbGxknTULHheXp5n1j02NlZOp1MFBQXHHXPgwIGjXj8/P/+o2fv/8vX1VUhISI0PAABOVlFFle6ct04ut6GxveN197md9cHkwXr9uv7qFB0kZ7Vb3jaLnrysp/42poe8bEe+7Qb7eevNCf2VMritDEN6YsFWzf41o06zFZQ6ddcHaaqsduv0TpG6cgBXlQEA0NTUeWE/7bTTtH379hrHduzYobZt20qS2rdvr9jYWC1evNjzuNPp1M8//6yhQ4dKkpKTk+Xt7V1jTE5OjjZt2uQZM2TIEDkcDq1atcozZuXKlXI4HJ4xAAD8kSqXWye7/urDn21S5uFytQ7z1+OXJMlischisejc7jFaeOcZeuWafvr8ttN15YA2Rz3Xy2bVYxf10F3ndJYkPfrVFn21IfuU3st/7cor1sUv/6r1WQ4F+3ppBpfCAwDQJHnV9QnvuusuDR06VNOnT9e4ceO0atUqvfbaa3rttdckHbmMferUqZo+fboSExOVmJio6dOnKyAgQOPHj5ck2e12TZw4UdOmTVNERITCw8N1zz33qGfPnjrnnHMkHZm1P++88zRp0iTNmjVLknTzzTdr9OjRJ7RCPACg5XG7DaUfLNW6fQVKyyxUWmahtuUWa2jHCP37+gGeGfATMX9dlj5Ly5bNatG/rupz1OrwXjarzu8Zd9xzWCwWTRnRSYdKK/X28r26+4P1Cg/00dCOkcfMbrX+cen+cXuepry3TsWV1Wod5q83JwxQQnjACb8vAADQeNT5tm6S9NVXX+nBBx/Uzp071b59e919992aNGmS53HDMPToo49q1qxZKigo0KBBg/TSSy8pKSnJM6aiokL33nuv3nvvPZWXl2vEiBF6+eWXaywUd/jwYU2ZMkVffPGFJGns2LGaOXNmjT3fj4dt3QCg+TIMQ+uzHNq436GtOUXamlOk7bnFKnO6jjl+6jmJmvqf2e4/sudgqUa/uFQlldW6+9zOmjIi8ZSyutyGbn9vrb7ZlKsgXy99MHmwesTblXm4TJ+n7df8dfu191CZeieEamjHCA3pGKF+bcLk523zPL/UWa0PV2dq+oKtchvSwPbheuWafooI8j2lbAAAoG7VpofWS2FvKijsAND8uNyGvt2cq5d+3KXN2Udv3+nnbVXPVnb1bROmPgmhOlRSqb9+vllWizTv5iEa2D78uOcvqqjSpS8v0668Eg1oF6Z5Nw+R7QRmvv9IRZVLE95apZUZhxUV7Kt2EQFavafgd8f7elkV4u+t0srqo/4R4qoBCXrsoiT5eNX5nW8AAOAU1aaH1vkl8QAAmMFZ7dZnafv16s+7lZ5fKkkK8LFpYPtwdYsLUbe4EHWPC1a7iMCjLn1Py3Tok7VZmjpvnRbceYZCA3yO+Rout6Gp89K0K69EMSG+eml8vzop65Lk523Ta9f115WzlmtbbrHyiytlsUhDO0bokr6t1SchVGv3FmjZ7oNatvuQ8oorlV9cWeMcwb5euuvczrrhtHbcsw4AQDPADDsz7ADQ6O05WKqtOUXKdlQo11GuHEeF8ooqVVRRpaLyKhVVVKukstoz3u7vreuHttP1Q9spLPDY5ft/lVRWa8yLS5VxsFSjesTo1WuTj1l4Z3yzVbN+Tpevl1Uf3TJEvVqH1uXblCQdKKrQ84t3qH1koC7q00qxdr+jxhiGoYyDpSqvcinI10tBvl4K9PWSr5eVog4AQCPHJfEniMIOAI2bYRh645cMTf9mq07ku1VUsK8mndFe4we1VZBv7S4i25jl0KWv/Koql6HHL07StYPb1nj807VZuvvD9ZKkf13VRxf1aVWr8wMAAEhcEg8AaAaqXW797YvNenflPklSz1Z2tYkIUFyIn2LtfooJ8VNogLdC/LwV4u+tED8vhQb4nPQl6j1b23X/eV31+Ndb9fevtmhDVqFahwWoVai/bFaLHvh0oyTptuEdKesAAKBBUNgBAI1OSWW1bn9vrX7ani+LRXrogm6aeHr7er/c+8bT2mvproP6aXu+PlyTddTj53aP0bRz2ToUAAA0DAo7AKBRyXGU68bZa7Q1p0h+3lb988q+Oi8ptkFe22q16LWU/vpmU472HirT/oJyZRUe+W9CeICev7LPCe2FDgAAUBco7ACARsEwDH24JlPTF2yTo7xKkUE+emPCAPVJCG3QHD5eVi55BwAAjQKFHQBguvT8Ej346UatzDgsSUpqFaJXrklWQniAyckAAADMQ2EHAJjG5Tb08o+79OKPu+Ssdsvf26a7/7OP+G/3SgcAAGhpKOwAANPMWbZHzy7eIUk6s3OUnrg4iVl1AACA/6CwAwBM4XYbenv5HknStHM76/azO9X7KvAAAABNCdcbAgBM8evug9pzqExBvl66sQG2bAMAAGhqKOwAAFO8s2KvJOnSfq0U6MsFXwAAAL9FYQcANLhcR4W+25onSbp2cFuT0wAAADROFHYAQIObt3qfXG5DA9uFq3NMsNlxAAAAGiUKOwCgQVW73Jq3KlOSdM3gNianAQAAaLwo7ACABvX9tjzlFlUoItBH5yXFmh0HAACg0aKwAwAa1H8Xm7uif4J8vWwmpwEAAGi8KOwAgAaz52Cpftl5UBaLNH4gl8MDAAAcD4UdANBg3l+1T5J0ZmKU2kQEmJwGAACgcWPjWwBAnThc6tSBogp5WS2yWi3yslpU5nRpY5ZDaVmFWp9ZqG25xZLYyg0AAOBEUNgBAKfs2825uuP9dXJWu/9wbHLbMA3vEtUAqQAAAJo2CjsA4JQs333IU9bt/t6yWiSX25DLbchmtah7fIh6J4SqT+tQ9U4IVZzdTxaLxezYAAAAjR6FHQBw0jbtd2jS22vkrHZrZPcYvXxNP3nZWB4FAACgLvBTFQDgpGQcLNWEt1appLJagzuE64Wr+1LWAQAA6hA/WQEAau1AUYVS3lypQ6VO9YgP0evX9ZefN3uqAwAA1CUKOwCgVkoqqzXhrVXKKihXu4gAzb5hoIL9vM2OBQAA0OxQ2AEAJ8zlNjTl/XXallusyCBfzZ04SFHBvmbHAgAAaJYo7ACAEzZjwVb9sC1Pvl5WvTGhvxLCA8yOBAAA0GxR2AEAJ+S9lfv0xtIMSdKz43qrT0KouYEAAACaOQo7AOAP/brroB7+fJMkadq5nTW6V7zJiQAAAJo/CjsA4LjSMgv1p3dSVe02dHGfeN1+diezIwEAALQIXmYHAAA0Ts5qt2b+sFMv/bRbLreh5LZh+sdlvWSxWMyOBgAA0CJQ2AEAR9meW6y7P0zT5uwiSdLY3vH6+0VJ7LUOAADQgCjsAAAPR1mV3l6+Ry/+sEtOl1uhAd56/OIk7lkHAAAwAYUdAKBtuUWas2yvPlu3X+VVLknS2V2j9Y9Leyo6xM/kdAAAAC0ThR0AWqgcR7l+2p6vz9P2a0X6Yc/xrrHBmnxWB13cpxX3qwMAAJiIwg4ALYRhGFq9p0Dfbz2gn7bna/uBYs9jNqtFo3rEaMKQdhrYPpyiDgAA0AhQ2AGgmSt3ujR/3X7NXpahHQdKPMetFqlPQqiGd4nWZcmtFR/qb2JKAAAA/BaFHQCaqfziSr31a4beX7VPhWVVkqRAH5tG9YjVsK7ROjMxUqEBPianBAAAwO+hsANAM3S41KmLX/pV+wvLJUkJ4f6aMKSdxg1IUIift8npAAAAcCIo7ADQzLjchu6ct077C8vVJjxAf7mwm0Z0i5HNyn3pAAAATQmFHQCamX9+t0O/7Dwof2+bXr+uv7rEBpsdCQAAACfBanYAAEDd+X7rAb34wy5J0j8u60lZBwAAaMIo7ADQTOw7VKa7PkiTJE0Y0lYX9WllbiAAAACcEgo7ADQD5U6XbnknVUUV1erXJlQPXdjd7EgAAAA4RRR2ADgJFVUuGYZhdgxJ0q68El36yjJtySlSRKCPXrqmn3y8+OsdAACgqWPROQCohfziSr304y69u3KvOkYF6Y6zE3V+UqysJqzAbhiGPlqTpb99sVnlVS5FBPpoVkqy4uz+DZ4FAAAAdY/CDgD/Ueas1rOLdmj+uv1qHxmoEd2iNaJrjDrHBKmkslqvL0nXG0szVOZ0SZK25RbrtvfWKjE6SHeMSNSFPeNkGIb2F5Zrz6Ey7TtUqrYRgTojMVIWS90W+qKKKv350436akOOJOm0ThF6flwfRYf41enrAAAAwDwWo7Fc02mCoqIi2e12ORwOhYSEmB0HgIl+3pGvh+ZvVFZB+VGPtQ7zV2lltQrKqiRJvVvbdec5iVqf6dBbv2aouKJakhQW4K3iimpVu2v+tTqwXbj+fGE39UkIrZOsew6WasK/V2nvoTLZrBZNG9lZt5zZ0ZRZfgAAANRObXoohZ3CDrRoh0udevyrLfp03X5JUqtQf/35gm4qKHPq+60H9OvuQ3JWuyVJHaICdd+oLhrVI9YzY15UUaU5v+7RG0sz5Cg/Uuh9vKxqFxGg+FB/Ld99SJX/ef6Y3vG6b1QXJYQHnHTerTlFSnlzlQ6WVKpVqL9eHN9X/dqEncovAQAAABoQhf0EUdiBli3XUaGxM5cqr7hSFot0/dB2umdkFwX6/v/dQmXOai3bdUiGpOFdouRlO/ZibiWV1dqeW6w4u59iQ/w8s905jnI98+0OfbouS4Yh+disSm4bpr5tQtUnIVR924QpKtj3hPKu2XNYN8xereKKanWNDdbbEwcqOphL4AEAAJoSCvsJorADLZfLbejaN1ZqefohtY8M1HPjeqtvPc5Ub852aMaCbVq66+BRj3WNDdZjFyVpYPvw333+j9vz9Kd3UlVR5Vb/tmF68/oBsvt711teAAAA1A8K+wmisAMt10s/7tLT326Xv7dNX005XR2jgur9NQ3D0M68Eq3dW6B1+wq1LrNAO/NKZBiSxSLdMLS97h3VRf4+Ns9z8osr9e7KvZr5wy5Vuw0N7xKll69JrjEGAAAATQeF/QRR2IGWae2+Al3x6nK53IaeuqyXxg1IMC1LQalTM77Zqg/XZEmS2kcG6unLe8mQ9PbyvVq4KUdVriN/TV/UJ17PXNFb3r9zWT4AAAAaPwr7CaKwAy1PUUWVLnzhF2UeLteFveI08+q+db7l2sn4cVueHvh0gw4UVR71WL82obpuSDuN7R3PSvAAAABNXG16KPuwA2gxDMPQXz/bpMzD5WoV6q/pl/RsFGVdkoZ3jdaiqWfpsa+26JO1WfLztuqi3q2UMqStklrZzY4HAAAAE1DYAbQY81Zn6vO0bNmsFr1wdZ9Gt2ibPcBbz47rrT8N66CoID/ZAxpXPgAAADQsCjuAZs8wDM1akq5/fLNNknTniEQlt/39FdnN1ik62OwIAAAAaAQo7ACatWqXW498uVnvrNgnSbrhtHa6fXgnk1MBAAAAf4zCDqDZKnNWa8r76/Td1jxZLNJfLuyuiae3NzsWAAAAcEIo7ACapU37Hfrz/I3akOWQr5dV/7yyj87vGWd2LAAAAOCEUdgBNCtbsov0z+92aNGWA5KksABvvTGhf6O+Zx0AAAA4Fgo7gGZhV16Jnl20Xd9sypUkWSzS2N7xumdkFyWEB5icDgAAAKg9CjuAJi89v0SXvPyriiuqZbFIo3vF684RnVhtHQAAAE0ahR1Ak+Yor9JNb69RcUW1eieE6unLe6lzDEUdAAAATR+FHUCT5XIbmvL+OqXnlyre7qc3ruuvqGBfs2MBAAAAdcJqdgAAOFlPLtymn3fky8/bqtco6wAAAGhmKOwAmqRPUrP02pJ0SdIzV/RWUiu7yYkAAACAukVhB9DkrMo4rAfnb5Qk3XF2J43uFW9yIgAAAKDuUdgBNCmLtxxQypsr5ax269zuMbrrnM5mRwIAAADqBYvOAWgy5q3apz/P3yi3IY3oGq0Xruorq9VidiwAAACgXlDYATR6hmFo5g+79OziHZKkK5Jba8alPeVl4yIhAAAANF8UdgCNjttt6EBxhfYcLNPeQ6X6dfchfbk+W5J067COundUF1kszKwDAACgeaOwA2gUXG5DP23P0/ur9mnproOqqHLXeNxikf42uruuP629SQkBAACAhkVhB2Cq7MJyfbA6Ux+uyVSOo8Jz3MtqUUJ4gNqEB6hdRIBG9ojVaZ0iTUwKAAAANCwKO4AGVe1ya11moX7anqefd+Rr0/4iz2NhAd66PLm1LkturU5RQdyjDgAAgBaNwg6gQRiGoWcWbdfby/equKK6xmOD2odr/KA2GtUjVn7eNpMSAgAAAI0LhR1Ag3h35T699ONuSUdm0s/sHKWzOkfpjMQoRQX7mpwOAAAAaHwo7ADq3ab9Dj321RZJ0r2juuiWszrKxv7pAAAAwHFR2AHUq+KKKt3+3lo5q906p1u0bh3WkS3ZAAAAgBNAYQdaOJfbOKXZ7szDZZq7Yq8+XbtfkUE+uuPsRJ2fFCur1SLDMPTgpxu151CZWoX665krelPWAQAAgBNEYQdaGMMwtGl/kRZvPaDvthzQlpwidYgMVHLbMPVvF6bktmHqEBkk63FKvNttaGXGYc1elqHFWw7IbRw5frCkUre9t1bd40I0bWRn5Tgq9NWGHHlZLXrh6r4KDfBpoHcJAAAANH0WwzAMs0OYpaioSHa7XQ6HQyEhIWbHAepcSWW19h4q1d5DZdpzqFTp+aVauvOgcosqjvs8H5tVoQHeCg/0UWiAt0L9fVRSWa2DJZU6WOLU4dJKT0mXpNM7RSplSFttzSnSG79kqKSy5irwD13QTZPO7FAfbxEAAABoUmrTQ5lhB5qhwjKnHvx0o77ZlHvMx/29bTqzc6TO7R6rAe3CtDu/RGv2FGjN3gKtzyxUZbVbecWVyiuu/N3X8Pe26ZJ+rXTD0HZKjAmWJI3qEasJQ9rp1SW7NWfZHlVUHblv/aYz2tfL+wQAAACaM2bYmWFHM5O6t0BT3l+n/YXlkqTwQB+1CQ9Qu4gAtY0IVO8Eu4Z2jPzd/c6rXEfKekGpUwVlThWUVclR5lSgr5cignwVGeSjqCBfhQf6yMtm/d0cecUVWpF+WOd2i5G/D3urAwAAABIz7ECL5HYbemNpup5auF3VbkNtIwI08+p+6tnaXqvzeNusahXqr1ah/qeUJzrYT2N7x5/SOQAAAICWjMIONGGGYWjvoTJt2O/Qp2uz9NP2fEnS6F5xmnFpTwX7eZucEAAAAMDJorADTYhhGNqZV6KFm3K1KuOwNmQVqqji/xd48/Gy6m9jumv8wDZsnwYAAAA0cRR2oJEzDEMb9zv0zaZcfbspV+kHS2s87mOzqlt8iHq3tmv8oDbqGst6DAAAAEBzQGEHGrHiiird9/GGGqu9+9isOiMxUsO7RqtPQqg6xwTLx+v3F38DAAAA0DRR2IFGaueBYk1+J1Xp+aXytlk0snuszkuK1fCu0Qry5Y8uAAAA0NzxUz/QCH29IUf3frxeZU6X4ux+evmafurbJszsWAAAAAAaEIUdaERcbkP/+GarXv8lQ5I0pEOEXhzfV5FBviYnAwAAANDQ6v3G1xkzZshisWjq1KmeY4Zh6JFHHlF8fLz8/f01bNgwbd68ucbzKisrdccddygyMlKBgYEaO3assrKyaowpKChQSkqK7Ha77Ha7UlJSVFhYWN9vCagXzmq37py3zlPWJ5/VQXMnDqSsAwAAAC1UvRb21atX67XXXlOvXr1qHH/qqaf03HPPaebMmVq9erViY2N17rnnqri42DNm6tSpmj9/vubNm6elS5eqpKREo0ePlsvl8owZP3680tLStHDhQi1cuFBpaWlKSUmpz7cE1Ityp0s3z12jrzbkyNtm0QtX99WD53eTl43F5AAAAICWymIYhlEfJy4pKVG/fv308ssv6/HHH1efPn30z3/+U4ZhKD4+XlOnTtX9998v6chsekxMjJ588klNnjxZDodDUVFRmjt3rq688kpJUnZ2thISErRgwQKNGjVKW7duVffu3bVixQoNGjRIkrRixQoNGTJE27ZtU5cuXf4wY1FRkex2uxwOh0JC2AoL5iiqqNLE2au1ek+B/LytevXaZA3rEm12LAAAAAD1oDY9tN6m72677TZdeOGFOuecc2ocz8jIUG5urkaOHOk55uvrq7POOkvLli2TJKWmpqqqqqrGmPj4eCUlJXnGLF++XHa73VPWJWnw4MGy2+2eMb9VWVmpoqKiGh+AmfKKK3T1ayu0ek+Bgv289M7EQZR1AAAAAJLqadG5efPmae3atVq9evVRj+XmHtlPOiYmpsbxmJgY7d271zPGx8dHYWFhR4357/Nzc3MVHX10sYmOjvaM+a0ZM2bo0Ucfrf0bAupQmbNa323N0xdp2fp5R56qXIYig3z09o2D1D2eKz0AAAAAHFHnhT0zM1N33nmnFi1aJD8/v98dZ7FYanxuGMZRx37rt2OONf5453nwwQd19913ez4vKipSQkLCcV8TqAvOard+2ZmvL9Zna/GWAypz/v9aDD1b2fXC1X3VPjLQxIQAAAAAGps6L+ypqanKy8tTcnKy55jL5dKSJUs0c+ZMbd++XdKRGfK4uDjPmLy8PM+se2xsrJxOpwoKCmrMsufl5Wno0KGeMQcOHDjq9fPz84+avf8vX19f+fqy4jbql2EYMgyp2m0odW+BvlifrW825aiwrMozpk14gMb2jtfYPvHqHBNsYloAAAAAjVWdF/YRI0Zo48aNNY7dcMMN6tq1q+6//3516NBBsbGxWrx4sfr27StJcjqd+vnnn/Xkk09KkpKTk+Xt7a3Fixdr3LhxkqScnBxt2rRJTz31lCRpyJAhcjgcWrVqlQYOHChJWrlypRwOh6fUA/WtyuXWj9vy9OGaTP2y86CqXG65f2cZx6hgX43uFaexvePVJyH0D68oAQAAANCy1XlhDw4OVlJSUo1jgYGBioiI8ByfOnWqpk+frsTERCUmJmr69OkKCAjQ+PHjJUl2u10TJ07UtGnTFBERofDwcN1zzz3q2bOnZxG7bt266bzzztOkSZM0a9YsSdLNN9+s0aNHn9AK8cCpSM8v0YdrsvTJ2izlF1f+7rgQPy+dnxSni/rEa1CHCNmslHQAAAAAJ6ZeFp37I/fdd5/Ky8t16623qqCgQIMGDdKiRYsUHPz/lwY///zz8vLy0rhx41ReXq4RI0Zo9uzZstlsnjHvvvuupkyZ4llNfuzYsZo5c2aDvx+0DPnFlfpqQ7Y+S8vW+sxCz/HIIB9d2q+1Lu7TSpFBPrJaLbJaLLJZLAr0tbGXOgAAAICTUm/7sDcF7MOOP5LjKNdP2/O1YGOOft110HO5u9UindU5SlcOaKMR3aLlTSkHAAAAcAJq00NNmWEHGiPDMHSwxKmdB4r18858/bw9X9tyi2uM6ZMQqov7xOvCXvGKCmYBQwAAAAD1h8KOFm3+uix9tzVPew+Vas/BMpVUVtd43GI5UtLP7hKtMb3j1Y6t1wAAAAA0EAo7WqyXftylp7/dXuOYxSK1CvXXwHbhOqtLlM5MjFJYoI9JCQEAAAC0ZBR2tEhvLs3wlPXrh7bTaZ0i1T4yQAnhAfL1sv3BswEAAACg/lHY0eK8u3Kv/v7VFknSnSMSdde5nU1OBAAAAABHY2lrtCgfp2bpofmbJEmTz+qgqeckmpwIAAAAAI6Nwo4W44v12brv4/WSjlwG/8B5XWWxWExOBQAAAADHRmFHi/Dl+mxNnbdObkO6akCCHh7dnbIOAAAAoFGjsKPZ+2J9tu78T1m/Irm1pl/SU1YrZR0AAABA48aic2jWPk/br7s+SPOU9Scv60VZBwAAANAkMMOOZut/y/q4/pR1AAAAAE0LM+xodgzD0JtLMzR9wVa5DenK/gmacSmXwQMAAABoWijsaFYqq116aP4mfZyaJUkaP6iNHr8oibIOAAAAoMmhsKPZyCuu0C1zU7V2X6GsFukvF3bXDae1YzV4AAAAAE0ShR3Nwrp9Bbr13bXKcVQoxM9LM8f305mdo8yOBQAAAAAnjcKOJi3zcJme/na7vlifLUnqEBWoN67rrw5RQSYnAwAAAIBTQ2FHk3S41KkXf9ipd1bsVZXLkCRd0reVHhnbQ3Z/b5PTAQAAAMCpo7CjyfluywHd9UGaiiurJUlnJEbq/vO6KqmV3eRkAAAAAFB3KOxoUr5cn627PkhTtdtQ97gQPXhBV52RyL3qAAAAAJofCjuajI9Ts3Tfx+vlNqSL+8TrmSt6y8tmNTsWAAAAANQLCjuahLnL9+ivn2+WJF09MEGPX9xTNvZWBwAAANCMUdjR6JQ7XcpxlCu3qEK5jgptyHJo9rI9kqQbTmunh0d3Z291AAAAAM0ehR2NxtacIj27aIe+33ZAhnH047cN76h7RnahrAMAAABoESjsMF16fome/26nvtqQ7SnqAT42xdr9FGf3U2yIv85IjNTFfVuZGxQAAAAAGhCFHabZlVes15dk6OO1WXK5jzT1C3vF6a5zEtUxKoiZdAAAAAAtGoUdDcrtNvTzznz9+9c9WrIj33P87K7Rmjays3rEs5c6AAAAAEgUdjSgrzZk67nFO5SeXypJslikc7vFaPJZHZTcNtzkdAAAAADQuFDYUe9cbkNPfbtNs35OlyQF+3pp3IAETRjSTm0iAkxOBwAAAACNE4Ud9aqkslpT563Td1vzJEmTz+qgO85OVJAvv/UAAAAA4HhoTag3mYfLNOntNdqWWywfL6ueuqwXK70DAAAAwAmisKNOVbncWrevUD/vyNO8VZk6VOpUZJCvXr8uWX3bhJkdDwAAAACaDAo7TplhGPpqQ46+2pCtZbsOqbiy2vNY97gQvTGhv+JD/U1MCAAAAABND4Udp+RAUYXu/2SDftr+/1u0hQf66IzESJ3VOUoX9IyTn7fNxIQAAAAA0DRR2HFSDMPQF+uz9fDnm+Uor5KPl1U3nd5e5yXFKineLqvVYnZEAAAAAGjSKOyotQNFFXrki836ZlOuJKlnK7ueG9dbiTHBJicDAAAAgOaDwo4TtuNAsV5fkq7P07LldLnlZbVoyohE/WlYR3nbrGbHAwAAAIBmhcKO4zIMQ8vTD+n1Jen68X/uU+/fNkyPjO2hpFZ2E9MBAAAAQPNFYccxVbvcWrApV68vSdfG/Q5JksUindcjVjed0UHJbdmiDQAAAADqE4UdHmXOah0qcWrRlgN6a2mG9heWS5L8vK0a1z9BN57WXu0iA01OCQAAAAAtA4W9BTIMQ9tyi7VwU66W7jqoA0UVOlTiVHmVq8a4iEAfTRjaTtcObqvwQB+T0gIAAABAy0RhbyEMw9Cm/UX6amO2vt2Uqz2Hyo45ztfLqvaRgZowtJ0u6duKPdQBAAAAwCQU9mYuv7hSn63br49SM7XjQInnuK+XVWd2jtLI7jHqGB2kyEBfhQf5KNDHJouFPdQBAAAAwGwU9mYqdW+BXv15t37clqdqtyHpSEk/p3uMLkiK07AuUQr05csPAAAAAI0Vja2ZOVzq1D++2aoP12R5jvVOCNW4/q01ule87P7eJqYDAAAAAJwoCnsz4XYbmrc6U099u02FZVWSpCuSW2vSmR3UOSbY5HQAAAAAgNqisDcDOw4U676PNygts1CS1DU2WE9ckqTktuHmBgMAAAAAnDQKexPmcht6/Zd0Pbdoh5wut4J8vXTXuZ01YUhbedmsZscDAAAAAJwCCnsTlZ5fomkfrde6fYWSpOFdojTj0l6KtfuZGwwAAAAAUCco7E1MRZVLs5ft0fOLd6iy2q1gXy/9dUx3XZHcmu3YAAAAAKAZobA3EVUutz5ak6UXvt+p3KIKSdIZiZH6x2W91CrU3+R0AAAAAIC6RmFv5NxuQ19vzNFzi3co42CpJKlVqL/uOrezLuvXill1AAAAAGimKOyN2Kb9Dj38+Sat/c996hGBPrpteCddM7iNfL1s5oYDAAAAANQrCvspcrkNzVqyW++u2KdgPy91jApSh6hAtY8MVHigj0orXSqtrFZJZbXKq1zqmxCqIR0jjjsz7iir0rOLt+udFXvlNqQAH5tuOaujbjy9vYJ8+ZIBAAAAQEtA+zsF+wvLddcHaVqVcdhzbFtu8R8+r0NUoK4d1FaXJbeW3d9bklTudGlbbpFS9xbolZ9261CpU5I0pne8HrqgG6u/AwAAAEALYzEMwzA7hFmKiopkt9vlcDgUEhJSq+d+uT5bf56/UcUV1Qr0senPF3ZTnN1P6fml2p1fqvT8EhVXVCvI10tBfl4K/M/M+A9bD6jU6ZIk+XvbNKRjhDIPl2l3fonc//OV6BQdpMcu6qGhHSPr7P0CAAAAAMxVmx7KDPv/cLsNrcg4pKLyavl5W+XvbZO/j02GIeUWVSjXUaFsR7m25xbrp+35kqQ+CaH655V91C4yUJJ0dtfjv0ZJZbXmr9uvd5bv1fYDxfphW57nsYhAH3WPD9HZXaN17eC28rZZ6+29AgAAAAAaN2bY//MvG4a3v6Z9uF7fbT1wQs+1WqTbh3fSHSMST6pYG4ah1XsKtHG/Qx2iAtUjLkRRwb6s+g4AAAAAzRgz7LW0PbdI936eqj2HyuRjsyqpVYgqqtyqqHapwumSISk6xE9xIX6KtfspPtRPQztGKqmV/aRf02KxaGD7cA1sH153bwQAAAAA0GxQ2CWNf2Olqqx+ahXqr1eu7aderUPNjgQAAAAAaOEo7JIqq9wa1jNK/7qyj8ICfcyOAwAAAAAAhV2Sbjmro+4f21c2K/ePAwAAAAAaB5Yhl3T72Z0o6wAAAACA/2vv/mOqqv84jr8uiig3uEYCVwaRq1aWaWEOdZbMiuGGZmzVytHPNWvi1tiac2PT/pK10rXZ5lbaVlthmJitRdOpqIWIBgtq8cvKfnClEi8EBOF9f/8wz7crZnyT770HeD62+wfnvP1wDnt5xuueey+uQmEHAAAAAMCFKOwAAAAAALgQhR0AAAAAABeisAMAAAAA4EIUdgAAAAAAXIjCDgAAAACAC1HYAQAAAABwIQo7AAAAAAAuRGEHAAAAAMCFKOwAAAAAALgQhR0AAAAAABeisAMAAAAA4EIUdgAAAAAAXIjCDgAAAACAC1HYAQAAAABwIQo7AAAAAAAuRGEHAAAAAMCFKOwAAAAAALgQhR0AAAAAABeisAMAAAAA4EIUdgAAAAAAXIjCDgAAAACAC1HYAQAAAABwIQo7AAAAAAAuRGEHAAAAAMCFJkb7AKLJzCRJXV1dUT4SAAAAAMB4cKF/XuijlzOuC3t3d7ckKSMjI8pHAgAAAAAYT7q7u+Xz+S4747Hh1PoxKhQK6aefflJCQoI8Hs8VrdXV1aWMjAx9//33SkxMHKEjxOXMmzdPtbW10T6McYF8Rx75jhzyHXnkO3LId+SR78gh35FHvkeGmam7u1tpaWmKibn8u9TH9R32mJgYpaenj+iaiYmJXDAiZMKECfysI4x8Rw75jjzyHTnkO/LId+SQ78gj35FDvkfOP91Zv4APncOotXr16mgfAvB/Q74xlpFvjGXkG2MZ+Y68cf2S+JHU1dUln8+nYDDIs04Yc8g3xjLyjbGMfGMsI98YD7jDPkLi4uK0fv16xcXFRftQgBFHvjGWkW+MZeQbYxn5xnjAHXYAAAAAAFyIO+wAAAAAALgQhR0AAAAAABeisAMAAAAA4EIUdgAAAAAAXIjCDgAAAACAC1HY/3To0CEtW7ZMaWlp8ng82r17d9j+06dP64knnlBaWpri4+OVl5enlpaWIetUV1dryZIl8nq9mjp1qnJyctTX1+fs7+zsVGFhoXw+n3w+nwoLC3X27Nn/89lhvLvSfH/77bfyeDyXfJSXlztz5BvRMhLX8EAgoMLCQvn9fnm9XmVlZWnnzp1hM2Qc0TAS+W5ra9MDDzyg5ORkJSYm6qGHHtLp06fDZsg3Im3jxo2aN2+eEhISlJKSohUrVqipqSlsxsy0YcMGpaWlacqUKcrJydGXX34ZNtPf3681a9Zo2rRp8nq9Wr58uX744YewGfKN0YrC/qeenh7NmTNHW7ZsGbLPzLRixQqdPHlSH3zwgerq6pSZmal7771XPT09zlx1dbXy8vKUm5urY8eOqba2VkVFRYqJ+e+P+dFHH1V9fb0qKytVWVmp+vp6FRYWRuQcMX5dab4zMjLU3t4e9njxxRfl9Xq1dOlSZy3yjWgZiWt4YWGhmpqatGfPHjU0NKigoEAPP/yw6urqnBkyjmi40nz39PQoNzdXHo9H+/fv16effqqBgQEtW7ZMoVDIWYt8I9Kqqqq0evVqHT16VHv37tXg4KByc3PDrs0vvfSSNm3apC1btqi2tlZ+v1/33Xefuru7nZnnn39eFRUVKisr05EjR/Tbb78pPz9f586dc2bIN0YtwxCSrKKiwvm6qanJJFljY6OzbXBw0JKSkuz11193tmVnZ1tJScnfrvvVV1+ZJDt69Kizrbq62iTZ119/PbInAfyNf5vvi91+++321FNPOV+Tb7jFv8241+u1t956K2ytpKQke+ONN8yMjMMd/k2+P/nkE4uJibFgMOjMnDlzxiTZ3r17zYx8wx06OjpMklVVVZmZWSgUMr/fb6Wlpc7M77//bj6fz7Zu3WpmZmfPnrXY2FgrKytzZn788UeLiYmxyspKMyPfGN24wz4M/f39kqTJkyc72yZMmKBJkybpyJEjkqSOjg7V1NQoJSVFCxcuVGpqqhYvXuzsl87fgff5fMrOzna2zZ8/Xz6fT5999lmEzgYIN5x8X+zEiROqr6/X008/7Wwj33Cr4WZ80aJF2rFjh86cOaNQKKSysjL19/crJydHEhmHOw0n3/39/fJ4PIqLi3NmJk+erJiYGGeGfMMNgsGgJCkpKUmS9M033ygQCCg3N9eZiYuL0+LFi51cnjhxQn/88UfYTFpammbNmuXMkG+MZhT2Ybj55puVmZmpdevWqbOzUwMDAyotLVUgEFB7e7sk6eTJk5KkDRs26JlnnlFlZaWysrJ0zz33OO8jCwQCSklJGbJ+SkqKAoFA5E4I+Ivh5Pti27Zt08yZM7Vw4UJnG/mGWw034zt27NDg4KCuueYaxcXFadWqVaqoqND1118viYzDnYaT7/nz58vr9Wrt2rXq7e1VT0+PXnjhBYVCIWeGfCPazEzFxcVatGiRZs2aJUlO9lJTU8NmU1NTnX2BQECTJk3S1VdffdkZ8o3RisI+DLGxsXr//ffV3NyspKQkxcfH6+DBg1q6dKkmTJggSc57wFatWqUnn3xSd9xxhzZv3qybbrpJ27dvd9byeDxD1jezS24HImE4+f6rvr4+vfPOO2F31y8g33Cj4Wa8pKREnZ2d2rdvn44fP67i4mI9+OCDamhocGbIONxmOPlOTk5WeXm5PvzwQ1111VXy+XwKBoPKysoK+z9AvhFNRUVF+uKLL/Tuu+8O2XdxBoeTy4tnyDdGq4nRPoDRYu7cuaqvr1cwGNTAwICSk5OVnZ2tO++8U5I0ffp0SdItt9wS9u9mzpypU6dOSZL8fv+QT2SVpJ9//nnIM4dAJP1Tvv9q586d6u3t1WOPPRa2nXzDzf4p421tbdqyZYsaGxt16623SpLmzJmjw4cP67XXXtPWrVvJOFxrONfw3NxctbW16ZdfftHEiRM1depU+f1+zZgxQxLXcETXmjVrtGfPHh06dEjp6enOdr/fL+n8HfILv2tL59+KeiGXfr9fAwMD6uzsDLvL3tHR4bwSkHxjNOMO+//I5/MpOTlZLS0tOn78uO6//35J0nXXXae0tLQhf4qiublZmZmZkqQFCxYoGAzq2LFjzv6amhoFg8GwlxYD0fJ3+f6rbdu2afny5UpOTg7bTr4xGvxdxnt7eyUp7K96SOffC3zhFVRkHG43nGv4tGnTNHXqVO3fv18dHR1avny5JPKN6DAzFRUVadeuXdq/f7/zBNIFM2bMkN/v1969e51tAwMDqqqqcnI5d+5cxcbGhs20t7ersbHRmSHfGNWi9nF3LtPd3W11dXVWV1dnkmzTpk1WV1dn3333nZmZvffee3bgwAFra2uz3bt3W2ZmphUUFIStsXnzZktMTLTy8nJraWmxkpISmzx5srW2tjozeXl5Nnv2bKuurrbq6mq77bbbLD8/P6LnivFnJPJtZtbS0mIej8c+/vjjS34f8o1oudKMDwwM2A033GB33XWX1dTUWGtrq7388svm8Xjso48+cubIOKJhJK7h27dvt+rqamttbbW3337bkpKSrLi4OGyGfCPSnnvuOfP5fHbw4EFrb293Hr29vc5MaWmp+Xw+27VrlzU0NNgjjzxi06dPt66uLmfm2WeftfT0dNu3b599/vnntmTJEpszZ44NDg46M+QboxWF/U8HDhwwSUMejz/+uJmZvfrqq5aenm6xsbF27bXXWklJifX39w9ZZ+PGjZaenm7x8fG2YMECO3z4cNj+X3/91VauXGkJCQmWkJBgK1eutM7OzgicIcazkcr3unXrLD093c6dO3fJ70O+ES0jkfHm5mYrKCiwlJQUi4+Pt9mzZw/5M29kHNEwEvleu3atpaamWmxsrN144432yiuvWCgUCpsh34i0S+Vakr355pvOTCgUsvXr15vf77e4uDi7++67raGhIWydvr4+KyoqsqSkJJsyZYrl5+fbqVOnwmbIN0Yrj5lZJO7kAwAAAACA4eM97AAAAAAAuBCFHQAAAAAAF6KwAwAAAADgQhR2AAAAAABciMIOAAAAAIALUdgBAAAAAHAhCjsAAAAAAC5EYQcAAAAAwIUo7AAAAAAAuBCFHQAAAAAAF6KwAwAAAADgQv8ByH2PJSO3X0IAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "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": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "gdp_cycle, gdp_trend = sm.tsa.filters.hpfilter(dta.realgdp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "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": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "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": {
    "execution": {
 
 
 
 
    }
   },
   "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": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "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": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(np.float64(-2.5364584673346307), np.float64(0.10685366457233603), 9)\n"
     ]
    }
   ],
   "source": [
    "print(sm.tsa.stattools.adfuller(dta[\"unemp\"])[:3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(np.float64(-3.054514496257235), np.float64(0.030107620863486007), 2)\n"
     ]
    }
   ],
   "source": [
    "print(sm.tsa.stattools.adfuller(dta[\"infl\"])[:3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "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": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "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."
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