ml-finance-python

python scripts for finance machine learning

git clone https://9o.is/git/ml-finance-python.git

notebook.ipynb

(473591B)


      1 {
      2  "cells": [
      3   {
      4    "cell_type": "markdown",
      5    "metadata": {},
      6    "source": [
      7     "# Exercises: Introduction to Pairs Trading - Answer Key\n",
      8     "By Chris Fenaroli, Delaney Mackenzie, and Maxwell Margenot\n",
      9     "\n",
     10     "## Lecture Link :\n",
     11     "https://www.quantopian.com/lectures/introduction-to-pairs-trading\n",
     12     "\n",
     13     "### IMPORTANT NOTE: \n",
     14     "These exercises correspond to the Introduction to Pairs Trading lecture, which is part of the Quantopian Lecture Series. It is meant to cement a few concepts presented in the lecture, specifically cointegration and construction of cointegrated pair spreads.\n",
     15     "\n",
     16     "We expect you to rely heavily on the code presented in the corresponding lecture. Please copy and paste regularly from that lecture when starting to work on the problems, as trying to do them from scratch will likely be too difficult. There is an answer key available for this problem set. Please email us at feedback@quantopian.com for results.\n",
     17     "\n",
     18     "Part of the Quantopian Lecture Series:\n",
     19     "\n",
     20     "* [www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n",
     21     "* [github.com/quantopian/research_public](https://github.com/quantopian/research_public)\n",
     22     "\n",
     23     "----"
     24    ]
     25   },
     26   {
     27    "cell_type": "markdown",
     28    "metadata": {},
     29    "source": [
     30     "## Key Concepts"
     31    ]
     32   },
     33   {
     34    "cell_type": "code",
     35    "execution_count": 2,
     36    "metadata": {
     37     "collapsed": true
     38    },
     39    "outputs": [],
     40    "source": [
     41     "# Useful Functions\n",
     42     "def find_cointegrated_pairs(data):\n",
     43     "    n = data.shape[1]\n",
     44     "    score_matrix = np.zeros((n, n))\n",
     45     "    pvalue_matrix = np.ones((n, n))\n",
     46     "    keys = data.keys()\n",
     47     "    pairs = []\n",
     48     "    for i in range(n):\n",
     49     "        for j in range(i+1, n):\n",
     50     "            S1 = data[keys[i]]\n",
     51     "            S2 = data[keys[j]]\n",
     52     "            result = coint(S1, S2)\n",
     53     "            score = result[0]\n",
     54     "            pvalue = result[1]\n",
     55     "            score_matrix[i, j] = score\n",
     56     "            pvalue_matrix[i, j] = pvalue\n",
     57     "            if pvalue < 0.05:\n",
     58     "                pairs.append((keys[i], keys[j]))\n",
     59     "    return score_matrix, pvalue_matrix, pairs"
     60    ]
     61   },
     62   {
     63    "cell_type": "code",
     64    "execution_count": 1,
     65    "metadata": {
     66     "collapsed": true
     67    },
     68    "outputs": [],
     69    "source": [
     70     "# Useful Libraries\n",
     71     "import numpy as np\n",
     72     "import pandas as pd\n",
     73     "\n",
     74     "import statsmodels\n",
     75     "import statsmodels.api as sm\n",
     76     "from statsmodels.tsa.stattools import coint, adfuller\n",
     77     "# just set the seed for the random number generator\n",
     78     "np.random.seed(107)\n",
     79     "\n",
     80     "import matplotlib.pyplot as plt"
     81    ]
     82   },
     83   {
     84    "cell_type": "markdown",
     85    "metadata": {},
     86    "source": [
     87     "----"
     88    ]
     89   },
     90   {
     91    "cell_type": "markdown",
     92    "metadata": {},
     93    "source": [
     94     "#Exercise 1: Testing Artificial Examples\n",
     95     "\n",
     96     "We'll use some artificially generated series first as they are much cleaner and easier to work with. In general when learning or developing a new technique, use simulated data to provide a clean environment. Simulated data also allows you to control the level of noise and difficulty level for your model.\n",
     97     "\n",
     98     "##a. Cointegration Test I\n",
     99     "\n",
    100     "Determine whether the following two artificial series $A$ and $B$ are cointegrated using the `coint()` function and a reasonable confidence level."
    101    ]
    102   },
    103   {
    104    "cell_type": "code",
    105    "execution_count": 3,
    106    "metadata": {
    107     "collapsed": false
    108    },
    109    "outputs": [],
    110    "source": [
    111     "A_returns = np.random.normal(0, 1, 100)\n",
    112     "A = pd.Series(np.cumsum(A_returns), name='X') + 50\n",
    113     "\n",
    114     "some_noise = np.random.exponential(1, 100)\n",
    115     " \n",
    116     "B = A - 7 + some_noise\n",
    117     "\n",
    118     "#Your code goes here"
    119    ]
    120   },
    121   {
    122    "cell_type": "code",
    123    "execution_count": 4,
    124    "metadata": {
    125     "collapsed": false
    126    },
    127    "outputs": [
    128     {
    129      "name": "stdout",
    130      "output_type": "stream",
    131      "text": [
    132       "A and B are cointegrated\n",
    133       "6.96867595624e-15\n"
    134      ]
    135     },
    136     {
    137      "data": {
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YELetjYJUImDr7vxJ7d1yYqA0bHGcn0HHJ4R7QhCAU4XGKU0jIiIyF6tLWoD+jSZ1ehFZ\nhXwaSESWUdPYhcyCBsyZ7YbQWS5GvbafhwPWLpqN2qZu7D1ZOeHrnMiuhUwqQdIcL4OOd7K3Qegs\nFxRUtKCnjw+FiIho6rDSpGWgRIxTxIjIQnYd7x9zvG5piEmu//PVkbBVSPHxt4XoVWnHfX5NUxcq\najswL9ITdkq5wefNi/CETi8ip7R53PckIiKyFKtMWkL8neHurERmfj10BpROcBIOERlTr0qL/Wnn\n4OakGHMq10S5OCpw3fIwtHWp8OXh0nGff3Jwaljs+OJjXwsREU1FVpm0CIKA+dE+6OzRoKCydcTj\n6pq78ehrh/HAS/uh0ujMGCERTWeHMqvQ3afFFYuCIRtm7xNjuWZ5KFwcFPjiUDHaOlXjOvd4di0k\nwoVNeQ0VFeQGpY2UfS1ERDSlWGXSAlwoEUsfoUQsLa8OD79yGEXn2nC+sRvfpZ0zZ3hENE2Jooid\nx8ohkwq4YuHkxxyPxk4px82XR6JXpcMn+woNPq+5vReFla2IDfWAs4NiXPeUyySIC/PA+cYuNLT0\njDdkIiIii7DapCU+3BM2culFfS06vYitu/Pwpy2p0Gh0uHt9DGxkEmw/VGJQKRkR0WiyS5twrq4T\nS+L94eqkNPn91iwMgq+HPb45UYHapm6DzhksDVs4ztKwQfMiBkvEuNpCRERTg9UmLQp5/2ZpVfVd\nQ7/I2zpVeOrt4/hsfzF83e3x/357Ca5dHobVC4LQ0NKDI2cmt+cBEdHOo/0N+FcvNe6Y45HIpBLc\nvnYOdHoR//km36BzTuRMMmmJ7N+Ikn0tREQ0VVht0gIAKTEXSsTyypvx0MuHcLakCQtifPDyI8sR\n4u8MALh2eSgkEgHbDhRPeodpIpq5Glp7kJpTi7BZzogMcjXbfZfE+yEswAXfnz6P4qqR+/gAoKNb\njezSZkQEusDT1XZC9/P3dICnqy3OFDVykAkREU0JVp20JM/pT1q2HyrB7986hrYuFe68Khp/+EUK\nHGwvjPj0cbfHsgR/VNR2ILOATw6JaGK+Ta2EXgSuWhICQRDMdl+JRMAvro4GALz0QQbyy1tGPDYt\ntw56vTjhVRagf9jJvAgvdPVqUFrdNuHrEBERmYtVJy3uzrYIm+WM5vY+ONrb4PlfL8YNK8OH/TBx\nw8owAMDnB4rNHSYRTRNpuXWQyyRYmmDYDvPGFB/miZ9fFoH6lh488eYR/HtnLtTDTEU8OVAatjh+\ncjEOlYhxE18iIpoCrDppAYA7rorGmoVBeO1/LkVcqMeIxwX7OSN5jjdyy5qRV85N04hofJrbe1Fe\n04G4UA8oFTKLxHDb2jn4y/1L4eVmh20HS/DIq4dR8oOVkF6VFlmFDQj0cYS/p8Ok7pUQ7glBYDM+\nERFNDVaftMyN8MKDN82FmwFTfG5cGQ4A2HagxNRhEdE0M1hamhTlZdE4YkLc8fqjK7B28Wycq+vE\nY699j4++LYRWp0dmQT00Wv24N5QcjqOdDcIDXFBQ0YKePo0RIiciIjIdq09axiM62A1zZrshLa8O\nlbUdlg6HiKaQjPx6ABd66SzJViHD/Tck4Nl7F8HFUYEP9xbg8b8fwTfHKwAAi+Imn7QA/aOPdXoR\n2SVNRrkeERGRqUyrpEUQhAurLQfZ20JEhtHq9Dhd1Ahfd3v4TbLsypgSI73wxuMrsTI5ACVVbThb\n0gQvN7uhyYmTNTdicPQxS8SIiMi6TaukBeh/Shro44jDp85zt2ciMkh+eQt6VVokzbFsadhwHGzl\neGRDIn5/Zwr8PR1w7SWhRptsFhnkBluFlM34RERk9aZd0iKRCLhhRTj0ehFffl9q6XCIaAqwptKw\nkSyK88XmJ1Zh3bIQo11TLpMgLtQTNU3dqOdDHiIismLTLmkBgEvm+cPT1RZ7T1aivUtl6XCIyMpl\nFtTDRiZB7CgTCqerwdHHp4u42kJERNZrWiYtMqkE1y0Pg1qjw86j5ZYOh4isWGNrLyrrOhEf7gmF\nXGrpcMxuXmR/SdypQva1EBGR9ZqWSQsArF4QCCd7G+w8WoZeldbS4RCRlcos6C8Ns/SoY0vx87CH\nl6stThc3QqcXRzyurVOFgooWM0ZGRER0wbRNWpQ2MqxbFoKuXg32nqy0dDhEZKWmQj+LKQmCgHmR\nXuju1aCkqvWi73f2qPH+rjzc88I+PP73I8gvZ+JCRETmN22TFgC4akkwlDZSfLKv8Ee7ShMRAYBG\nq8OZ4kb4ezrAx93e0uFYzLyIgRKxH4w+7unT4ON9hbjnz/vw+YFiSCX9E8sOn6q2SIxERDSzTeuk\nxdHOBvfdEI/uPg3+uPk4is5d/BSRiGauvLIW9Kl1Vjnq2Jziwz0gEYBThQ1QaXT44lAJfvnCd/jv\nngLIpBLctS4G/3rycjja2eDY2ZpRy8iIiIhMYVonLQCwMjkQj2xIRO9A4sLSBiIalDHQz5IcNTNL\nwwY52tkgPMAVBZWtuPeFffjnjlzodHrcdkUU3v39Zbju0jDYKeVYHO+Ltk4VcsuaLB0yERHNMNM+\naQGAFUkBeOy2ZKg0Ojz1znHklPIXLhH197MobKSIDXW3dCgWlxjlBb1eRHefFjetCse7f1iNn6+O\nhJ1SPnTMsrn+AICjp2ssFSYREc1QMksHYC7L5vpDJhXw0gcZePrdk3jqrgVIiPC0dFhEZCF1zd2o\nbuhCSrQP5LKZN+r4p667NAzuzrZIifGGq6Ny2GNiQ9zh4qDA8ewa/Oq6OEilM+K5FxERWYEZ9Rtn\nUZwfNt2ZAr1exHNbTiKrwLSbqXX3avDR3gI0t/ea9D5ENH6ZAz//yTO8n2WQrUKGNQuDRkxYAEAq\nlWBxvC/au9TI5oo1ERGZ0YxKWgAgJdoHT961AADwp3+mIi2vziT30etFvPxhFj78thDbD5WY5B5E\nNHEX9meZ2f0s47V0sETsDEvEiIjIfGZc0gL0124/dc9CSKUC/vLvNBw9c97o9/jiUMlQQpSeWw9R\n5LQdImuh1uhwprgJAd6O8HKzs3Q4U0p0sDtcHRU4frYGWp3e0uEQEdEMMSOTFgBICPfEM/cshFwm\nwV+3ZmDr7jyjjfHMLm3C1t15cHdWIiHcA7XN3aiq7zTKtYlo8nJKm6HW6JAUxdKw8ZJKBCxJ8ENn\njwZni1kiRkRE5jFjkxYAiA31wF8fXAZfD3t8tr8YT79zHO1dqklds6WjDy99kAFBEPC/tydjZXIg\nACA11zRlaEQ0foOlYclzWBo2EUsT+kvEjpw2/io1ERHRcGZ00gIAwX7OePnh5VgQ44MzxU14+OVD\nKKyc2F4uOp0eL32QgbZOFe68OgbRwe5InuMNiQCk59UbOXIimqiM/HrYKqSIDuao44mYM9sN7s5K\nnMiphUbLEjEiIjK9GZ+0AICDrRy/vzMFG6+cg5aOPjzx5lHsPl4+7j6UD77JR25ZMxbH++KaS0IA\nAE72NpgT7I6Cyha0dU5uFYeIJq+mqQs1Td1ICPeEXMa3wImQDJSIdfdqcLrItFMYiYiIACYtQyQS\nATetisCz9y6CnVKOf2w7i1c/PoU+tdag81NzarHtYAn8POzx0M/nQRCEoe8tiPGBKAIZ+SwRIzKl\nhtYevPHZaRzIqBrxZzczf3DUMUvDJmMZp4gREZEZMWn5ibkRXnjlkeUID3DBgYwqPP76EeSUNo06\nJaeuuRuvfJQFG7kUm+5M+dEO0gCQEuMDgH0tRKbUq9LiT1tSsfdkJV75KAt3PLsXb35+BkXnWn+0\naprBUcdGERnoCk9XW5zMqYVao7N0OERENM3JLB2ANfJytcNfH1yKd7/MwTcnKrDprWNQ2kgRG+qB\nhHAPJIR7IsjHCRKJALVGh7+8n47uPi0evnkeZvs6XXQ9f08H+Hs64FRRI9QaHWzk3H2byJj690XK\nREVtBy6bHwh3ZyX2p5/DnhMV2HOiAkE+jrgsJQiL432RU9KE2b5O8HCxtXTYU5ogCFia4I8vDpXg\nVGEDFsT6WjokIiKaxpi0jEAuk+L+GxOwKM4Xqbl1OF3UiIz8emTk9z+ldXawQXyYJ1RqHcrOt+Py\nBUFYNT9wxOstiPHB9kMlOFvSxLIUIiP7cG8BTubUIT7MAw/clACZVIINa6JwuqgB+1LPITW3Flu+\nzsE/d+RAFMFRx0ayNMEPXxwqwdEzNUxaiIjIpJi0jGFepBfmRfZ/wGlq68WZ4saB/zUNjfsM8XfG\nr66LG/U6KQNJS2puHZMWolF09Wpgq5BBKhHGPhjAkVPn8cl3RfBxt8PvNs6HTNpf9SqVCEiK8kZS\nlDfau1Q4lFWNfamVqG7oGtrVnSYnPMAF3m52SM2thUqjg4KryEREZCJMWsbBw8UWq+YHYtX8QIii\niOqGLhRUtCB5jveYJV9Rs93gaGeDtNw63Hd9PCQGfiAjmklOFzXguS2p8Pd0wG9+NhcRga6jHl9S\n1YZXP86CrUKGP961AE72NsMe5+ygwDWXhGL9shBotHqWaBpJf4mYH7YdLEFWQT0WxflZOiQiIpqm\n2Ig/QYIgIMDbEasXBMHVSTnm8VKJgPnR3mjp6EPp+TYzREg0tZSdb8cL/06HXi+iorYDj7/+Pd77\nKgd9quGngLV09OH5f6VCo9PjsduSEORzcT/ZTwmCwITFyAZXrY6c5hQxIiIyHSYtZsQpYkTDa2jp\nwTPvnkCfWotHb03CC/ctgY+7Pb76vhQP/O0gsgp+vBeIWqPDC/9KQ3N7HzZeGY2UaB8LRU6h/s7w\n9bBHWl6dwSPiiYiIxotJixnNi/CETCpBem69pUMhshqdPWo8/e4JtHaqcPf6WCyb64+4MA+8/tgK\n3LQqHE1tvXj63RN4+cNMtHepIIoi3vjsNArPteLSpFm4YUWYpf8JM9pgiZhKrRsaVEJERGRsTFrM\nyE4pR3y4B8pq2tHQ2mPpcIgsTqXR4U9bUlHd0IVrl4fimktCh76nkEux8cpovPrIcoTNcsbBzGrc\n/9IBvPJRFg5mViMi0AW/uWnujzZyJcsY2miSJWJERGQiTFrMbLCMJZ0lYjTD6fQi/u+/mcivaMEl\nc/3xi6tjhj0u2M8Zf/vtJbh7fQz61DoczKyGm5MSv78zhf0pVmK2rxP8PR2Qnl8/Yg8SERHRZDBp\nMbPBpIV9LTSTiaKId7/MxonsWsSFeuDhDfNGnagnlUpw7fIwvPn4Cqy/JATP3rsI7s7cHNJaCIKA\nxfG+UGt0OFvaZOlwiIhoGmLSYmaerrYI8XdGdmkTevo0lg6HyCK2HSzBrmPlCPJxxO9/kQK5zLAV\nEx93e/zymjjM9h17UhiZV+LAflY/HZpARERkDExaLGBBjA+0OhGnChstHQqR2R3MrML7u/Lg4azE\nM79cBAdbuaVDIiOImu0GO6UMmQX1EEXR0uEQEdE0w6TFAi6MPq61cCRE5nU4qxqvfnwK9koZnrl3\nETxcWOI1XcikEiSEe6KuuQe1Td2WDoeIiKYZJi0WEOrvDHdnJTLy66HT6S0dDpFZ7D1Zif/7MBNK\nGymevmeRQZtB0tSSFOUNAMgo4OhjIiIyLiYtFiAIAlKifdDZo0F+RYulwyEyuS8Pl+KNz07DwdYG\nf75vCeYEu1k6JDKBpCj2tRARkWkwabGQwRKxtDw+kaTpSxRFfLyvEFu+zoGbkwIvPrAEYbNcLB0W\nmYiHiy2CfByRXdIElUZn6XCIiGgaYdJiIfFhHlDaSJHGvhaapkRRxL935uG/ewrg5WaHvz64DIEs\nCZv2EqO8odbqkVvabOlQiIhoGmHSYiE2cinmRXrhfGM3quo7LR0OkVHp9SL+se0sth8qgb+nA/76\nwFL4uNtbOiwyg8ESsUz2tRARkRExabGgRXG+AIDdx8stHAmR8eh0erz6cRa+OVGBYD8nvPjAUk4J\nm0Gig92gtJEik30tRERkRExaLGjZXH94u9lhz4lKNLX1WjocIqN4/dPTOJhZjchAV7xw3xK4OCos\nHRKZkVwmRUK4J843dqGumaOPiYjIOJi0WJBMKsHNqyOg1enx2f4iS4dDNGk9fRocyqxCgLcjnvvV\nIjjY2Vg6JLKAxMEpYoVcbSEiIuNg0mJhK5IC4Otuj29TK9HQ2jOuczu61cgtY7MrWY/8ihboRWBh\nrA/slNyQmunFAAAgAElEQVTpfqZKjBzoa8ln0kJERMbBpMXCpFIJbr48AlqdiE+/M3y1RavT4+l3\njmPTW0fZyE9WYzCJjglxt3AkZEk+7vbw93TA2ZJGaLQcfUxERJPHpMUKLJ83C/6e9vgu7ZzBNeAf\nf1uIkup2iCKQmltn4giJDJNX3gKJAMyZzc0jZ7qkOV7oU+uQV8YNdImIaPKYtFiB/tWWKOj0hq22\nFFS04LP9RfBwVkIiAOl5TFrI8jRaHYrOtWK2nzNLwwhJkd4AgAyOPiYiIiNg0mIlls31R4C3A/Zn\nVKG2aeTVll6VFi9/mAURwKO3JiEyyA0FFS3o6FabL1iiYRSda4NGq2dpGAEAYkPdYSOXshmfiIiM\ngkmLlZBKBGxYHQW9XsTH+wpHPG7L1zmobe7G9ZeGITbUA/OjvaEXgYx863uaqdPpLR0CmdFQP0sw\nkxbq30A3LtQd5+o60djKke5ERDQ5TFqsyJIEPwT6OOJQZhVqGrsu+n5qTi32nqxEsJ8Tbr0iCgCQ\nEuMDAEizghKx5vZefH+qGpu3n8Vv/+8grvvdjlETMJpecsv7k5boEPazUL+kqP4SsaxC63uoQkRE\nU4vM0gHQBRKJgFsuj8KLW9Px0b5CPHpL0tD32jpV+PtnpyGTSvDoLUmQy6QAgEBvR3i72eFUYQM0\nWj3kMvPloQ0tPcgqbEBueTPyylvQ0HJhZLNcJoGNXIrPDxTjioWzucHgNKfTiyioaIG/pz1cHZWW\nDoesRNLAfi2ZBQ1Ys3C2ZYMhIqIpjUmLlVkU54vZvk74PqsaP1sVgQBvR4iiiL9/ehrtXWrcvT4G\nQb5OQ8cLgoCUGB/sOFKGvLJmJER4miXOvPJm/HHzcWi0/SVgjnZypET7ICbEDdHB7gid5YxvT1Zi\n8xfZ2HawGHevjzVLXGQZFTXt6OnTYkm8n6VDISvi5+kAX3d7nC5qhFanh0zKxX0iIpoY/gaxMhKJ\ngFvWREEvYqi06tvUc0jLq0N8mAfWLwu96JyU6P4SDHOViNU1d+PP/0qDTi/i7vWxePPxFfjPs2vx\n5N0LcP2KcETNdoNcJsXlC4Pg4WKL3cfK0dzOmvbpbLA0jE349FOJUV7oVWmRX8HRx0RENHFMWqzQ\nwlgfhPg748jp80jNqcV7X2XDXinDwzcnQiIRLjo+JsQDtgoZ0vLqIIqiSWPr6tXg2fdOoqNbjV9f\nH49rl4ci0Mdp2LjkMiluXh0BtVaPzw8UmzQusqzBvTiYtNBPDZaIZRVwihgREU2cQUmLSqXC6tWr\n8eWXX2LTpk1Yt24dNm7ciI0bN+Lw4cOmjnHGEQQBt66JgigCf/53GvrUOvz6hgR4utoOe7xcJkFi\npBfqmntQVd9psri0Oj3++n46qhu6cM0loVi7aPaY56yaHwhvNzvsOVHJCUJTREFFC3YdKzc4ARZF\nEbnlzXBzUsLbzc7E0dFUExfqAZlUgkzu10JERJNgUNLy1ltvwcXFZejvjz32GLZu3YqtW7di+fLl\nJgtuJpsf7Y2wABeIYv8eLsvn+Y96fEpMf4lYep5pPhiIooi3v8jG6eJGpET74BfrYgw6TyaV4ObV\nkdDq9Ph0/9gbZ5JliaKI1z45hc3bz6K4qs2gc2qautHWqUJMiDsE4eIVN5rZlAoZYkPdUV7TwTJR\nIiKasDGTlrKyMpSXl2P58uVDT15NXYJE/astD9yYgMsXBOH+G+LH/DCYFOUNiWC6vpavvi/DnhMV\nCPFzxmO3JUE6TDnYSFYkzYK/pz32pVai/gcTxsj6lFS3obqhf9z23pOVBp0ztD8LS8NoBIMlYqe4\n0eS0U1zViodePoSy8+2WDoWIprkxk5aXXnoJTzzxBAAMfXD+73//izvuuAOPPvoo2toMexpL4xc2\nywW/+dlcONjZjHmss4MCkUFuKKhoQUe32qhxpOXW4Z87cuDmpMCTdy+ArWJ8Q+ekUgluvjwKOr2I\nT7hvi1U7kFEFoH+F7PtT1ejp04x5DpMWGsvgfi2Z7GuZdnYcKUPZ+XZs3n6WDzSJaNL0+pHfR0b9\n9Pnll19i/vz58PPrH2MqiiKuueYauLi4ICoqCu+88w7+/ve/48knnxwziMzMzHGGTePl56xFvgh8\n/s1JJATbG+Wata1q/HNfI6QSATcudkZlaR4Me/7+Y/Z6EZ7OMnyXfg5R3mq4O5pn2jZfd4bT6UUc\nSK+FnUKC+eH2OJzTiQ++Oo7kMIdRzztVUAuljYDG80VorpnZ5WG76g+jSd0KURRZKvcDoijC2U6K\ntNxa7Nx3Ar5uYz+IofEz9/udRifi+NkaAEB+RQu2fnEUsUHsa5tp+HuWjKWlU4t/fFOPP/xs+JaI\nUT85Hj58GNXV1fj2229RV1cHhUKBZ599FlFR/buxr1q1Cs8884xBgSQlJY19EE2Kh38H9p85iMYe\nW6P8925u78Ubr30PjVbEpjvmY/Ek9+BQ2ZzHX7dmIKdGhv+5xfSvh8zMTL7uxiEttw49qvNYvywE\n168Iw5Hcb1FQI+JXPx/5v2Fzey9au6oxP9ob85OTzRit9dGLerz+xX/Qq+mDT7g/Zjn7Wjokq3KP\nUIWXP8rCfw634rl7FyEi0NXSIU0rlni/S82phUpzHovjfZGWW4/v83px87rFUMilZo2DLIe/Z8mY\nPttfBI125DaHUcvDXnnlFXz22Wf45JNPcNNNN+H+++/HRx99hMLC/hKf9PR0REREGDdimrBAb0d4\nu9khq7BhaNPHiVJrdHj+X2loau/DnVdFTzphAYDFcX6Y7euEw1nVJp1yRhMzWBq2IjkA7s62mB/t\ng5LqdpSM0pA/NOo4mKVhDV1N6NX0AQByGlgG+VOXJgXg4ZsT0dunwR83H0fewN4+NHUdPdO/ynLj\nynCsWxaChtZefHW41MJREdFUlZFfj9GKFMa9T8ttt92GTZs24fbbb8ehQ4fwwAMPTCY+MiJBEJAS\n44OePi3yyib3geCdL7NRUtWGlckBuH5FmFHi++HGmR99yw911qSrR43U3DoEeDsi1N8ZALBmYRAA\nYG/qyAWB3FTygrLWc0N/zqnn63s4K5MD8NhtyVBpdHj6nRPILmmydEg0QSqNDqm5tfB2s0PYLBf8\n/LIIODvY4PMDRWjt6DP4OiVVbfjycAn7YYhmuK4eNQoqWhA5yiq8wUnLgw8+iGuvvRYpKSnYvn07\nPvjgA2zevBlubm5GCZaMIyW6v+F1MlPE9qefw96TlQjxc8b9NyYYtTZ/YawPwmb1b5xZUdthtOvS\n5Bw9UwOtTo+VyQFD/38nRnnDw1mJw1nV6FVphz0vt6wZNnIpQme5DPv9maSstX+lSoCA3MYi6PWT\nW+2crpbN9ccTG+dDq9PjmXdPIIsTxaakrIIG9Kp0WJrgB0EQYG8rx61rotCr0uGDb/INukZpdRt+\n/49j2PJ1Ln8fEM1wWYUN0ItA8hzvEY8Z90oLWbeYEA/YKmRIy6ub0JOr8pp2vPX5GdgrZdh053yj\n1yYLgoBbr5gDAPhwb4FRr00TdyCjCoIAXJo4a+hrUomA1QuC0KvS4sjp8xed09WjRmVdByIDXSGX\n8a2kfGClJdw+CN3qHlS0VVs4Iuu1KM4Xf/jFAogA/rQl1WSj2sl0jp7pf09YOvdCw+zlC4IQ6OOI\n79LPjTkCuaaxC8+8e3LogYih+0IR0fSUnt+/zyCTlhlELpMgMdILdc09Q/ttGKqrV4O//Dsdaq0e\nj2xIhI+7cSaQ/VRSlBcig1xxIrsWH+0tQHpeHRpbe1keYCG1Td3Ir2hBfJgHPFxsf/S9y1ICIRGA\nvScrLjovr6IFosjSMKB/OlZZ6zn4OHgiwmE2gOnX15Jx/iz+8N1L6FYbZ6+l5DneeOruBZBIBPzl\n32k4kV1jlOuS6ak0OqTl1sHX3X6onBToH29/z/pYiCLw3lc5I76nN7f34sl3TqCtSzVUhjpa7xwR\nTW86vYjM/Aa4OSkR8oP3lJ9i0jINpcQMlIjlGv70UhRFvPZxFmqbu3HTqnAsiDXd5CNBEHDHVdGQ\nSSX48NtCPLclFXc9/y02PPkNnnjzKP6x7Qy+OV6Okmr+EjOHg5n9ZU0rkwMu+p6Xqx0So7xRdK4N\n5TU/fnKaN7Q/C0tEG3ta0K3uQbBrIAJt+392cqdZ0nL8XAaKm8tR2FRmtGvOjfDCM79cCJlUghe3\nZgy7okfWJzO/Hn1qHZbO9buofHhepBeS53gju7QJJ3Mu/h3U1aPG0++cQENLD269Igq/ui4OMqnA\n93uiGay4qhWdPWokz/EetSXBbEmLTq8z161mvKQob0iE8fW1fHGoBCdz6hAf5oFb10SZMLp+caEe\nePf3l+H3d6bg1iuisCTeDy4OCuSXN2P38Qq8te0sHnnlMA5knBv7YjRhoijiYGYVFDZSLIobfkLc\nFYMN+Sd/3JCfW9YMiURAZBCTlrKW/v82Ia6BcJTZw9/RB3mNJdBOo/e92q7+3pPaznqjXjcu1APP\n3ds/JveNz04btKEpWdbg1LClCcPvpXDXuhhIJQL+tSMXGu2Fn4E+tRbPbUlFZV0nrl4ajJ9fFgG5\nTIrZvk4or+mY9NRLIpqaMvIGS8O8Rj3ObEnL4YqT5rrVjOfsoEBkkBsKKlrQ0a0e8/js0ia8vysP\nbk5KPHZbEqRS87wsPFxssSjOFzevjsQTd8zH5idW4dO/XI1XHl6O3/5sLmzkUmzdnQ+VZvp88LM2\n+RUtqGvuwaI4X9gqht+2KXmON9yclDiUWYU+dX/9uUqjQ0l1G0L9nUc8byYpH2jCD3btX62K8YqA\nSqtCaUuFBaMyrrquRgBAbafxG+fnBLvhhhVh6OnTYn96ldGvT8bTp9YiLa8Ofh72CPZzGvaYAG9H\nXLkkGLXN3dh5tBwAoNXp8eL76civaMHyebPwy2vihp6ohs5ygVanR2Udm/GJZqL0/HrIpAISwj1H\nPc5sSUv6+TPmuhUBSInxgV4EMgtGfyra0tGHlz7IgCAI+N3GZLg6Ks0U4fAUcinCAlywekEQ1i8L\nQXN7H3YN/NIj4xvcm2Vl0sWlYYOkUglWpwSiu0+LYwNPWIsqW6HViexnGTDYhD+YtMR6RwKYPqOP\nO1VdQ70sNUZeaRl0xaLZkMsk2Hm0DHo9+9usVWZ+A1RqHZbO9R+1jGPD5ZFwsJXjk32FaOtU4dWP\nTiGzoAFJUV54eMM8SCQXzg0P6J8+WMoSMaIZp7m9F2Xn2xEb4gE7pXzUY82WtJytL4BKO/ZTfzKO\n+QOjj1Nz6kb8AKDV6fHXrelo61ThF+tiEG1lGwTesCIM9rZyfLa/CF29LBkxNrVGh6NnauDmpET8\nGE83Vi8IgiBcKBHLGehnsbbXjCUMNuF72rvDUeEAAIj26t90N7ehyJKhGc0PV1dMsdIC9K8QL583\nCzVN3WM+bCHLOTI4NSxh9A2HHe1ssOHySHT3afHIq4dx+FQ1ooJc8cTG+ZD9ZDU/bGBkOieIEc08\nmQX9v1OSRpkaNshsdR0anQbZ9flI9k8w1y1ntEBvR3i72eHY2Rpc8/jXUNhIYauQwdZGBqWi/89q\njQ4l1e1YkuCH9ctCLB3yRRzsbHDjynC8vysP2w8WY+OV0ZYOaVpJz6tHd68GaxYEQSoZfS8ebzc7\nzIvwQlZhAyprO4aa8KOD2c/S0tuGDlUXUjwvbMLqpHBAkMssFDaVQq3TwEY6+tMjazdYGgYAzb2t\n6NOqoJQpjH6f9ZeE4Lv0c/j6SBnmR/sY/fo0OX0qLdLz6uHv6YDZvsOXhv3QlUuCsft4Bc43diHQ\nxxFP3bMQymHKSQN9nCCTStiMTzQF7DpWDplUwJqFs41yvYyBUceDD9tHY9bpYRk12ea83YwmCALu\nXh+L5DneiA11R4CXA+yVcqg0OtS39KCgogUl1e0IC3DBb38216gbSBrT1UuD4eakwNdHytAyjl2W\naWxDpWHDTA0bzuBo0t3Hy1FQ2YIAb0c4Oxj/g+tUUzZQGhbiGvijr8d6RUKj16LIiNO2LGVwdcXX\nsb9Jsq6zcbTDJyzYzxmxoe44XdTI/gYrlJ5XD7Vm+Klhw5FJJfifWxKxan4Anrt3ERztbIY9Ti6T\nINjPCZW1HT9q3Cci69LRrcY7X2bjH9vOoqFl8uPvNVodThc1wNfDHv6eDmMeb7aVFieFAzJrsqEX\n9ZAInLRsDovifLEobvjRxaIoQqXRQSGXWm3CAgBKGxluvjwKb31+Bp/sK8R9N3Clzhjau1TILKhH\niL8zggx4Ygr090m5OCqw52Ql9Hr2swwqHylp8Y7ErqL9yGkoHOpxmaoGJ4cl+sZhV+d+1HTWY7br\nrDHOmpj1y0KQU9qMHUfK8OBNc01yD5qYwdKwZSNMDRtORKArIgJdxzwuLMAFxVVtqKjtQHjA2McT\nkfml5dYOtRx8cagEv7o+flLXyytrQa9Kh9UpY6+yAGZcaUn0i0N7XwdKWyrHPphMThAEKG1kVp2w\nDFqdEgg/D3vsPVmJ2qZuS4czLXx/6jx0ehErRmnA/ynZQEP+4BtWDEvDAABlP5kcNmiOZxgkggS5\n06AZv76zEXKJDHEDyZexxx7/UEqML7zc7HAwsxqdPeyDtBY9fRpk5tcjwNsBgT6ORr/+YF8LN5kk\nsl7HztYCAJzsbfBtaiVaOydXAZM+UBpmSD8LYMakJdmvPxvLOH/WXLekaUImleC2tXOg04v4754C\nS4czLRzIrIJEImD5PMOfmALA6pSgoT9Hc6UFAFDecg7utq5wVv54xcpObotQ10CUtFSgVzN1SxtF\nUURtVwO8HTzh59TfZ2KqZnwAkEoErFsaDLVGd9HeQGQ56Xn1UGv1WJow+tSwiRqcIFZS3T7GkURk\nCd29GpwuakCwnxNuWRMFtVaPHUcmV/6ckV8HpY0UcaGGfZ4wW9IS7zMHcokMGTVMWmj8lsT7IXSW\nMw6fqkbZef5Sm4yq+k6UVLUhMdILrk7jG3Ht62GPlckBmBvhCS9XOxNFOHW09rajta/9olWWQTHe\nkdCJehQ0lZg5MuPpVHWhR9MLH0cveNm5QyqRmmzs8aDLUoKgtJFi17Fy6HTccNAaHDVwathEBXg7\nwkYm4UoLkZVKz6uDVidicbwfLksJhIuDAruOlaN7gtNda5q6cL6xGwnhnpDLpAadY7akRSlTIM47\nClXtNWjoajLXbWmakEiEoelhW3fnWTiaqW3PiQoAwIqkifUkPLIhEX/61WLjBTSFDW4qGeIWOOz3\nY72m/n4tg/0svg6ekEgk8HHwRG1nPUTRdHupONjKsWp+IJraenEip9Zk9yHD9PRpkFnQgCAfRwT6\nGNYDN14yqQTBfs6orOuAmhsKE1mdY2f792lbEu8HhVyKa5aHoqdPi93HJ7aX3nimhg0ya0d8sv9A\niRhXW2gC5kV4Ij7MA5kFDcguZeI7EeU17dh5rBxebnZYGDv8kAYyXNnQppLDJy2RHqGQSWTIaZjC\nSctAKZiPQ//kMF9Hb3RretGp6jLpfa9eGgwA+Pr7qT99bapLy62DRqvH0rnjKycdr7AAF+j0Iipq\nOTmOyJr0qrTIKmhAgLcDArz7e9quXDwb9koZvvq+FH1q7bivmZE30M8SZaVJS6JfHAAgk0kLTYAg\nCLjjqoHVll15Jn3SOx3p9SLe/PwM9HoR910fDxu5YcuxNLLyoaRl+PIwhcwG4e7BqGitRpdqag6R\nqBtcaXHs34DUb2DscY0J+1oAYJaXI5KivJBf0YLiqlaT3otGd/TMhSespsRNJomsU0Z+f0/b4h+8\nB9gp5bhqaQjau9TYl3puXNfrVWmRXdqMYD8neLjYGnyeWZMWN1sXhLoGIa+hGN3qyc93BoAdBd/h\njZP/hl7PuueZICLQFYvifFFQ2YrU3DpLhzOl7E2tRGFlK5Yk+CHZwEkdNLqy1nNwUTrBzdZlxGNi\nvSIgQkReY7EZIzOewT1ZfAaSFT/H/teOqftaAGD9slAAwNeTbPakievoViOzoAGzfZ2GnrCaSlgA\nJ4gRWaPjZ4d/cLF+WQhs5FJsP1QCjdbwz+Fnixuh1enH/VnE7BumJPnHQyfqcboud9LXqu1swIdn\nv8D3lak4WH7cCNHRVHD72jmQCMDW3fnciMxArZ19eH9XHuyUMvzymlhLhzMtdPR1ormndcTSsEGD\ne7RM1b6W2q4GyKXyocRscINJU449HjQv0hMB3g44evo8N5c1M51exLeplXjw/x2AVqfH8kTT7Mvz\nQwFeDrCRS1FSzaSFyFqoNDpk5NfD18Mes3+yr5uzgwJrFgahqa0Xh7OqDb7m4Khjq09ajDn6+KPs\nr6AT9RAEAR9nf40eTe+kr0nWL8DbEavmB6KqvhO/fnE/DmScg07PUrHRbPkqF929Gty+dg7cnQ1f\niqWRlbcNNOGPkbSEuwXDRipH7hTsaxFFEXWdjfBx8BzaFNh3YKXFlGOPBwmCgHVLQ6DVifjmeIXJ\n7zcViaKI1z85hcPZxusDOVPUiIdfPoS/f3oaPSotNlweiWsuCTXa9UcilUoQ6u+Mc/WdULEZn8gq\nZBU0oE+tw+I432HHnV+3PAxSiYDPDxQb9FlMFEVk5tfD0U6OyKDx7fdm9qQlyMUfHnZuOFWbC61+\n4m9KJc0VOFmVhTC32bgp5mq0qzqxPW+PESMla/bLa+Nw7fJQtHSo8MpHp/Dwy4eQkW/aiUZT1anC\nBhw+VY2wABesXRxs6XCmjbKW0ftZBsmkMszxDENVRy3a+qZWg3G7qhO92j74DjThA4CzwhF2cluz\nlIcBwIqkANjbyrHnRAVXVoeRnlePfWnncDC7Y6iEY6Kq6jvx3JaT+OPbx1FZ14FV8wPw9hOrcMua\nKMhl5vm4EDrLGXq9iPIajrYnsgbHswdKw0YYd+7paosVSQE439iFkwZMe6yo7UBTex8SI70hlYxv\nzyezJy2CICDZLx49ml4UNE5s7wJRFPHfs18AAG5LuA7rIy+Dp50bdhcdQF1XozHDJStlq5Dh7vWx\nePuJVViZHIDKug48+95JbHrrGAoqWywdntVQaXT4x/azkAjAgzcmjPsNgkY2NO54jJUWAIgZGH08\n1VZb6gYnhw004QP97+G+jl6o62o0Sy+hUiHDmgVBaOtS4cvDpaht6uZI3AGiKOKjbwsgCIBMCrz+\n6Wk0tIy/X7S9S4XN28/iwb8dRHpePeJCPfDyw8vx8M2JZl+ZDWdfC5HV0Gh1SMutg5er7dCgjOHc\nsDIMggB8vr9ozIfHg6OOk8cx6niQbNxnGEGyfzz2lBxCRs3ZoXrv8Thdl4vchiLM841FtFcEAODW\nhOvx6on38MHpbXh86a+NHTJZKS83OzyyIRHXXRqGrbvzkJ5Xj8dfP4JFcb5IDORwhs++K0JtUzeu\nuSQUoaO84dD4lbVWwlHhAHc71zGPvbBfSxGWBM43WUx6vR4SifGeRf103PEgX0dvlLZUoqmnBV4O\nHka730iuWhqML78vxdbd+di6Ox8A4Ggnh7uzLdydlXB3toWHsxKXpQTB03XmlD+m59ejpLodSxP8\n4KroxY60Vvztv5n4y/1LIJUa9jooqGjBs++dRFevBn4e9vjFuhgsiPExya73huAEMSLrcaa4CT19\nWly+IGjU94RZXo5YHOeHY2drcKqoEYmRXiMem55XD4mAUY8ZiUWSlmjPcNjKlMg4fwZ3zL1xXG+O\ner0e/z3zJQQIuDX+2qGvLwpIxJ7iUKSfP4Oc+gLEekeZInSyUrN9nfDU3QuRW9aMf+/MxYnsWmTm\nC1g4XwUXR4Wlw7OIqvpObDtYDA9nJW69gj8PxtSl7kZDdzMSfOYY9P4V7BoAO7mtSfdrqetqxON7\nnsct8ddibcQKo10TuNB8P+jCBLEGsyQtXq52eOruBcgta0Zzex9a2vvQ1N6L+paeH+3p8f3p83j9\n0UsN3l15KutfZel/Pd28OhKN54vQqrLF0TM1+OjbQty2ds6Y1yiobMFT75yASqPD3etjcNWSELOV\ngY3E38sRShspStmMT2RxxwbGnS+OG3vc+Y2rwnHsbA0+31/8o4SkT61FYWUrckqbkV3ahILKFkQF\nucHJ3mbc8VgkaZFJZUjwjcbJqixUd9QiwNnw2e9HKtNwrv08ls9eiECXCxtdCYKAO+fdhE37/or3\nT32Ov17+e6M+caSpISbEHS/9Zhm2fJ2Lr74vRdG5VqTE+Fg6LLMTRRFvbTsDrU7EvdfFw1ZhkR/1\naatioDRsrMlhg6QSKaI9w5FRcxaN3c3wtHc3ekxp1aeg0qnxWe4uXBq8CLZy5aSvWTu4R4vDT5OW\nwb1a6jDXN3rS9zFEUpT3sJuQ9fRp0Nzehy8OlWBf2jl8vr8YG9ZM/yQ9I78eJVVtWJLghyBfJzTV\nCHjwpgQUVbXh0/1FiAvzQEK454jnF51rxdMDCcvjtyVhaYJpN440lFQiIMTfGQUVLehTaaHkexeR\nRWh1eqTm1sLNSYnIoLErCsJmuSAxygtZBQ3Ydawcze29yCltRnFVK7S6/pIxQQCCfZ1x8+rxV1kB\nFuhpGTSRKWJqnQaf5OyAXCLDz2PXXfT9ELcgLJ+9EJXt53Gg/JjRYqWpRRAExIf1P/2dqc2c+9Or\nkFPajAUxPlgU52vpcKadsoFNJQ3pZxk0WAqb21BkkpjO1OUB6F8F2lty2CjXrOtsgEJqA1db5x99\n3ZwTxMZip5QjwNsR91wTCw9nJT7dX4yq+k5Lh2VSP11lGWRvK8f/3pYEiSDg5Q8z0d6lGvb8onOt\neOrt4+hTafHYLdaTsAwKC3CBXgTKZuj7N5E1yC5pQmePBovjfCExsB/2ppXhAIDN28/is/3FKKxs\nwWw/Z1y7PBRP3rUAHz63Fq89eikSo8ZfGgZYMGlJ9I2FRJAgo8bwpGVv8WE09bRgbcQKeNgPPyZt\nQ/w1UMgU/SOQ1RyBPFPN9uufJV5eM7WmNRlDe5cK/9yRC6WNFPdeF2fpcKalsqGVltEnh/1QzED/\nXeG7tRwAACAASURBVHZ9gdHj6dOqkN9YCn9HH9jLbbGjYB/6NJPb10QURdR29Y87/mkJnK9D/xN8\na0haBtkp5fj19fHQ6vR48/Mz0E/jMeiZBQ0ormrD4njfi/ZNiAxyw21r56ClQ4VXPz51UVNscVV/\nwtKr0uJ/bknCsnnWlbAAF/pauF8LkeUcz+6fBLY43vBqqJgQd2y8cg5uWBGGp+9ZiA//dCVeeXg5\n7l4fi5QYHzjYjb8k7IcslrQ4KOwR5RGKkuYKg8aAdqm7sT3/G9jLbXFt1JoRj3O1dcZ1c9agQ9WF\nz/N2GzNkmkI8XWyhlAszcqVl78lKdPaoseHyKHi52lk6nGmpvOUc7OW28LI3vJ8jwNkPrrbOOHou\nHdtyd0MvGm9QRF5DEbR6LebPSsCVESvRqe7G3pLvJ3XNtr4OqLQqeDteXGKklCvhZutitrHHhloQ\n64vF8b7ILWvGvrRKS4djEoMTwwCMWGJx/aVhmBvhiYz8enz1fdnQ10uq2/Dk2yfQq9LikVuSzLJh\n5EQMJS1sxieyCJ1exMnsWjg72CA6xPByZkEQcNOqCNx5dQyS53jD3lZu1Lgs2vSR7B8PESKyanLG\nPPbL/G/Rre7BddFXwEFhP+qxVw+MQP6m+KBVPQkk8xEEAd6uctQ2d6NPpbV0OGY1+HRyeaL1PUGd\nDno0vajtakCwa+C4hohIBAkeW/Ir/H/2zjs8rrPK/587RTOSRl0ajZrVuyW51yS248QpTkKAhJCQ\nxrKB7MISloUfsAvL0nZZYMOSwgKBQCChJCSkx2mOe5et3nsd9a7R1Pv7YzRjO1YZSVM00v08T57H\n0dx736Myd+55z/l+T6Q6nL9UvMZ/HXmSUeO4W2IqmW4NW6fL4+asawlSBvJa7btMWWZuD3IFx73z\nw3oWB3EhWvonBzFZTItewxN89vYCgtQKfvtaJYOjS6s2LUfO1/ZS1zbM9oI4UuPDZjxGJhP48t0b\nCNeoeOaNShrah2nsGOZbvzjB5JSZL929gd3LNGEBSIjREKiSS5UWCQkfUdU8wPC4kW1r45bVqASf\nJi0bHbqWeVrE+icHeavuIFGBEdyYsXve6wbIldy77mNYbVb+UPKiO0KV8EN04QGIIrToV1eLWHPX\nCKHBAUSGLl2ILXElLUMdAKRFuq5ncZAZlcp/3/CvrI/Lp1Rfxdfe/k9q+xuXHFOpvgq1QkVWVBrB\nAUHcnLWHUeM47zYcXfQ1Z3MOc+DQtSy32VhRYYE8sD+PiSkLT71c7utw3IooivzpbbuW5e59cwtZ\nI0LV/PM9G7BYRX74+7N865cnmJgy86VPrmfPRtfbGn2BTCaQlhBOR+84hlW26SQhsRw4Me0atnMB\nrWHewKdJS1yIloQQHWX6Kk60naN1uAOT1XzFcc9XvI7ZZuGuglsJULjWD7ctcQO5MRmc6yqjTF/t\n7tAl/IDYCHtZsmUV6Vomp8zoByZJjQ/12ZyFlY5DhL8QPculhKo0fO3qf+STBbcxODXMfxx8lNdq\n3pt3INds9I730z3Wy1ptNgq53Wnp5sxrCVSoebXmHYyLrITox2ee0eLgou3x8moRA7hxWwq5KZEc\nK+3iTJXe1+G4jQu1fdS2Dc1ZZbmUDdlaPr4ng57BScYNZh65az3Xblp4su0LMpPCEUVo6lx9Lb4S\nEr7EZhM5Ud6NJlBJQYbnLe0Xgs+9BLcmreelqrf435O/AextPdrgaBJCdSSG6ghXh3G45RRJYfFc\nk7zV5esKgsAD6+7kG+/+kD+Xv0qhbn7PeomVhW46aVlNuhaH8YArDzQSi6PZmbQs/uFPJsj4WN5N\nZEWl8bNTT/OH0hep7m/g81vuJzhgYTokZ2vYJdbDGlUwN2Xt5qWqA7zbeJRbsvcuOEZne9gslZaL\ntsfLL2mRyQQ+f2cRX3r0EP/3YhkF6dF+b/stiiJ/nEfLMhP33pSLTYTs5Ihlt2s6F5cOmcxfQE+9\nhITE0qhrG2JwdIrrNq9B4eKQWm/h82juyN/PN3d9kQfX38l16VeTE52BwWzgfFc5r9a8y+9L/ooo\ninyq8PYFz11Ji1xDVnQaTUNtmGeo4EisbGLClMhkwqpyEGuZTtCkpMVzNA21EahQo9PMPgPDVdbG\nZvPjff9KvjaLc52lfO2d/3S2n7mKw+q4SHf5vJT9WXtRK1S8WvPOonQn+rFeVAoV4erQGV9fTrbH\nM5GsC+XjezLpHzbw7AH/r7ZfqOujtnWIbWt1pCW4/v5WyGX83a35fpWwgN32GJCGTEpIeJnjZdMD\nJQuX37gEn289KWRyCnW5V1RCxozjdI7q6RjVo5QpWB+3dlHXTwqNo7a/ka6xHpLDl6/wUML9KOUC\nCTEaWrpHsdlEl33G/Zmm6QRtIQ81Eq4zZTHSNdpDTkwGMsE9ez7hgWF8a9cjPF/5Oi9VvcXPTv2G\nR2/8d5fa+yw2KxU9teg0McR+KIkKUWm4MXM3L1e/zXtNx7g561qXYxJFEf14H7oQ7axxxARHIRdk\nyzZpAfjEdVkcLenk9aNN7FqfSNaa+QekLUfsWpaFV1n8mbioYILUCuolBzEJCa9yukJPoErBuqyl\nb8y5G59XWmYjRKUhJyaD69KvYlfqtkX35yeF2XeX2ke63BmeS9hsNg43n8KwxHkJEosnNT4Ug9FC\n79Ckr0PxCk1dIyjkMhK1Gl+HsiJpHe5ARFzQUElXkMlkfLLgNq5K3kLnqJ6K3lqXzqsfaMJgmbqi\nyuLgluzrUClUvFL9zox6wdkYMoxgtJpmdQ4D+4ZTrCZmWbaHOQhQyvnCneuwifDECyVYrO6zmfYm\nJXV91LQOsTVfR/p029RKRyYTyEgMp7NvnMkpqVNCQsIbdPdP0D0wQVFmNEqF3NfhXMGyTVrcRVKY\nvbzVPtLt9bUPNh/nyTPP8Ebd+15fW8KOo01qNeharFYbbd2jrNGFLLs+1JVC0+DSRPjzcWPGLgAO\n1B9y6fiSboeeJX/G10NVGm7I2MXQ1AgHm467HIdThD/DjJZLiQvRMm6aYMxN1s2eoCAjmuu3rKG5\na5Q3TzT7Opx5EUWR3qFJTpZ389yBGr77m1P86A/nAPjkPI5hKw1HgtYoifElJLzC+Vr7vX9D9uIm\n1nsan7eHeZpER6Vl1PtJywdNJwCo6Knljvz9Xl9fwl5pAbtAfXuBf/V0L5TOvnFMFpvze5ZwPw57\nYndXWhxkRqWSFrGGc11l9E0MEBM8twC5VF+FXCYnPyZz1mNuzd7L2/WHeLn6bfam7UQpn3/Y13wz\nWhzYdS3ldI/1EqJavtW9B/bnceh8B28eb+bWq9KWnbNea/coB8+109Q5QmPnMGOTl1cWosLUfGRX\nulOcvlrIvGTIZEH68nIxkpBYiVyYTlrWS0mLbwhThRASEEyHl9vDOka6qR9sAaB+oBmT1UyACw8L\nEu5lNVVaHIYDaZII3yM0DbZxsv08iaFxxIfGemQNQRC4MXM3Pz/ze95tPMo9hbfPeuzI1ChNQ23k\na7NQK2efyROmDuX6jGt4vfY9Djad4IbMXfPG0T3PjBYHl9oeZ0WnzXtdXxGmUbGjIJ7DFzqoah5c\ndm5U//PHYuf7Ny4qmMKMGNITw0hLsP8XEbI6Zy45xPgNkq5FQsLjmC02yhr6iI8ORhc19xB3X7Hi\ne0gEQSAxLJ6e8X6vTm7+oNleZYnVxGC2WWgYaPHa2hIXiQhREaYJWBUOYo7ELFUS4bsdURT57fm/\nICLy6Q2fcJsIfyZ2JG0kJCCY9xuPzalDKdPbhdmz6Vku5bac6wmQK3m5+m2XnBT1Y472sPmSluVr\ne/xh9m2zV8feOd3q40guRz8wQXPXKIUZ0fzp+zfzq3+9jq8/sJk792axMSd21SYsALqoIIIDlTRI\nDmISEh6npnUQg9G6bFvDYBUkLWB3EBMR6fTSB6vFZuVIy2k0AcF8suBWAKr66r2ytsTlCIJAalwY\nPYOTK17M6ZzREie1h7mbo61nqB1oYmviegpiczy6VoAigGvTdjJmmuBE27lZj3NYHa/TzaxnuZRw\ndSjXp1/DgGGIwy2n5z2+e7wXtUJFmCpkzuOWu+3xpaxNiyYuKphjpV1MGJbPveB0pX345dXrEtAE\nStX4SxEEgew1EXT1T9DavfI3niQkfImzNSxHSlp8SqJTjO+dFrGS7gpGjGNclbyZgli7lXN1X51X\n1pa4kpRLdC0rmaauEbQRgWiCAnwdyorCYJ7iudK/oZQruW/dx72y5vUZ1yAIAgfqDyGK4hWv20Qb\npT3VhKtDSQ5PcOmat2Zfh1yQ8WbdwRmveem19eN9xGlmtzt2EK4OJVCh9oukRSYTuG7LGkxmK0cu\nLGwWjic5VdGNIMDWfJ2vQ1mW3HJVKgDPvyd9hkpIeJLztb0o5MKy1o+tiqTFYXvc4SUx/gfNJwHY\nk7qDUJWGpLB4avubsFgtXllf4nIcupaWFaxrGRqdYnjMKA2V9AAvVr3F0NQIt+fsQzuPMN5daIOj\n2BhfSNNQGw3T2rhLaRvuZGRqlEJdrsui8sigcLYnbaRjtJvynppZjxsyjGC2mudtDQP7TnhciJbu\n8V5s4vK3E967OQmZsHxaxEYnTFQ1DZC9JoKI0NXbBjYXm3JjSUsI42hpJx29Y74OR0JiRTI8ZqSx\nY4S81CgCVctX7r46kpZQe6WlzQuVlpGpUc53lZMSnui0Rc2LycRkNdM4tDw+KFcbTgexFdxe4GwN\nk5IWt9I11sMbde8TExTJR3L2eXXtmzJ3AzPbH5c4W8Pm17NcimPA5Jt1B2c9xukcNo/dsYO4EC1m\nq5mByaEFxeILosIC2ZSro6FjhKZlYKN7tkqPTYSta5ff5OnlgiAI3HVdFqIIL7wvtVlLSHiCkrrl\n7RrmYFUkLaHqEMJUIV5xEDvaegaraGN36nbn1/K0djvSql7phusLErUhKOTCinYQa3KI8CW7Y7ch\niiLPXHgBq83K/evvIEDh3ba7tdpsEkJ0nGw/z/DU5Ql3qb4KAYHC6fZTV8mISiE7Ko3z3RWziued\nM1rmsTt24E+6FoB9W+2C/HeXQbXFoWfZtlZqDZuLbWvjWKML4dD5DvQDE74OR0JixbHc57M4WBVJ\nC9h1Lb0TA0xZjB5bQxRFPmg6gVwm56rkLc6v507PUJDE+L5BqZCRqA2hpXsMq232Xn5/xpGQpUnO\nYW7jfHcFF7orKYjNZkvCOq+vLwgCN2TuwmKzXDYY0mCeoqa/kbSINYSq5xbKz8RN09WWt+o+mPH1\ni5UW1z68LrU99gc25cYSGarig/MdGM1Wn8UxZbJQXNNLQoyGRO3Cf4+rCZlM4BN7s7DZRP56UPoc\nlZBwJzabyIW6PsJDVKQscyOfVZO0JIXadS2do3qPrdE42Er7aDeb44sIvWTQWrg6lIQQHTX9jVhs\nvvuQXM2kxodiMlvp7l++k7uXQnPXCEFqBdqIIF+HsiIwWc387sILyAQZn15/l8+GEe5K2UagQs07\nDUec947K3lqsNitFcQursjjYmriOqKAIDjWfZNx05a61Y0aLTuNae5g/2R4DyOUyrt20hgmDmZNl\n3p3fdSmldX2YzFapyuIiV61LID46mPfPttE/bPB1OBISK4aW7lGGx4ysz4pBJlteg3c/zKpJWrzh\nIOaYzXJpa5iDPG0mRouR5qE2j60vMTsXh0yuPF2L0Wyls3eclLjQZX/D8RfeqH2fnvE+bszc7bx3\n+IJApZpdKdsYNAxzrrMUuKhncWU+y0zIZXJuzNiN0WriYNOJK17Xj/USqFQTOo/dsQOHYN9f2sMA\nrt/imNniu/vxxdYwSc/iCnKZwJ17M7FYRV78QKq2SEi4C39pDYNVlLQkTT94eMpBzGQxcbztHBGB\nYRTprtwBlXQtvsUpxl+BupbW7lFsIqRJIny3MDA5xEtVbxGq0nBn/n5fh+OcYO8Q5JfqqwlUqsmM\nWvwE+r1pO1HJA3i7/hDWS6q/NtFGj4t2xw6ClIFEqMPo9pNKC0B8jIaC9GjKG/vp6nOt+mowus/9\n0WoTOVOlJzxERdaaCLddd6Wze2MS2ohA3jnVytDolK/DkZBYEZyv6UUQlr8IH1ZT0jLdHtY+4pmk\n5UxnKZNmA7tStiGXya94PS8mC5B0Lb5iJVdaHIlYipS0uIVnS1/CaDVxT+FHCQ7wfbtdQqiOgtgc\nqvrqOdNRQs94HwXaHBQz3GdcRaMKZlfKNvomBzk7XcEBGJwcxmyzuGR3fClxIVr6JgYxWZfP0Mb5\ncAryz8xdbbHZRH75Uhmf/OabHCpud8vaNS2DjIyb2Jqvk6qjC0Ahl3HHtZmYLDb+drjR1+FISPg9\nBqOF6pYB0hPCCNOofB3OvKyapEWjCiZCHeax9rC5WsMAIgLDiNNoqelvwGZb/vMMVhphGhWRoaoV\nOavFkYilJSxvAZ0/UN1Xz/G2c6RHJrM7dZuvw3Fy47T98S/PPQcsvjXsUm7K2gNcbn/cPe0cFuei\nc5iDuJBYRER6pvUw/sD2wniCA5W8f7YNq3Xme7LFauOnfz7P68ebsdlEfv5iKV1u0MWdqrBvnkmt\nYQvnui1riAxV89aJZkbGPWesIyGxGihv6MdiFf2iygKrKGkBu66lf3IQg9m9ZeW+iQEqemrJjk53\nOunMRK42E4N5ipZh9+zWSSyMlPgw+kemGJs0+ToUt9LUOYJMgDU6KWlZKgfqDwPw4Po7kQnL5/a4\nMa6A6KBIxoz2B+aiuKUnLQmhOtbp8qjpb6Rx0G7/u1DnMAdxfqhrUSnl7N6QyNCYkXPVV7a2mcxW\nfvjMWQ4Vd5CdHMHDHy3AYLTyk2eLscyS5LiCKIqcrtATqJJTmLF8J08vV5QKOR/fk8GUycqrR5t8\nHY6EhF/jT3oWWGVJi2PIpLt1LYdbTiEismeWKouDPMn62Kekxq08XYvNJtLSPUqCNgSVcvHtQhJg\ntVkp01cRHRRJ1hL0Ip5AJpOxL+MawG4xrA2Ocst1b87aC1ystujHHDNaXHMOc+BvtscO9m1NBq4U\n5E9OmfnOr09xulJPUWY03/vcDvZflcaejYnUtw/z3IGaRa/Z1jNG98AEG7JjCZDes4ti37ZkwjUq\nXj/WxLhh+bYkdvWP873fnKZncNLXoUhIzMj52l4CVQpyUiJ9HYpLrKqkJTHM/boWm2jjUPNJVPIA\ntidtnPNYSYzvW1airqVncBKD0SKJ8N1Aw2ALE2YD6+LyfWZxPBd703ai08RwbdpOt12zSJdLQqiO\nE+3FDBlGnO1hC9W0+JvtsYO0hDAyEsM4V61nYMRuozs2aeJbvzxBWUM/2wvi+PbfbyNQpQDg4Y8V\noosK4sUP6imtX1wr3MXWMMnqeLGoAxTcviudySkLbxxbvtWW1481c6ZKz6tHJP2NxPJDPzBBd/8E\nhRnRKOT+kQ74R5Ruwukg5kZdS1VvPb0TA2xL2kCgUj3nsdFBkWiDo6jub8AmSroWb7MSHcQc34vj\ne5NYPCXddivhdW7Qi3iCEJWGx/Z/l9tyrnfbNQVB4ObMa7HarLzTcAT9eB/BykBCAoIXdB1tcDQy\nQeZX7WEO9m1NxibC+2fbGRyd4htPHqOubZhrNyXxtfs2oVRcrIYEqZV89d5NyASBR/9YvChNxekK\nPTKZwKbc2VuJJebnph0phAQpeeVII5NTy6/aIooiJ8vtCeqRC52z6qYkJHyFszUsxz9aw2CVJS2J\n0+1h7W5sDzvUfBKAPak7XDo+LyaLCdMkbcOdbotBwjUSYjQoFbIVVWlpciQtCVKlZamUdFciF2Ss\njc32dShe5ZqUrQQHBPFO4xF6xvvRhbhud+xAIVcQGxztd5UWgGvWJxKglHPgVAtfe+Iorfoxbr06\njUfuWo98ht3HrDURfOrGHAZHjTz2lxJEUXR5rYERA/XtwxSkR6EJCnDnt7HqCFIrue2adMYmzRw4\n2eLrcK6goWOY/mEDMgGGx42ULLIyJyHhKc7X+JeeBVZZ0hIcEERkYDgdbmoPmzQbONVxnlhNDLkx\nGS6d42wRk3QtXkcul5GsC6FNP7YkIe1yomU6AZMqLUtjZGqUxqFWcmIyCFIG+jocr6JSBHB9+tWM\nGcex2CwLdg5zEBeiZcw4zrhpws0RepbgQCVXFcXTN2RAPzDJ3fuyeegja+e0Iv74nkwKM6I5U6Xn\nzRMtLq8lDZR0L7dclUaQWsHfDjditljnP8GLOKosH91tfzY4VNzhy3AkJC7DYrVR1tBPXHQwuqiF\nVdZ9yapKWgCSwuIZMAwxaTIs+Vpl+mpMVjNXJ292eWfSKcaXdC0+ITU+DIvVRmfv0m1LlwNNXSNE\nhKiICJm7NVFibsr0dmG1O6yE/ZF9Gdc43dIWqmdx4DhPP+Z/O8q370pHFxXEQx9Zyz035Mx7P5fJ\nBL58zwZCggJ4+tUKWrtdq96emn6Q3ZIv6VncgSZQyb6tyQyPGTle5pkZbIvlZHk3AUo5n7w+m7io\nYE5WdLt1QKmExFKoaRnEYLT4VZUFVmPS4mwRW7qupUxfDcA6Xb7L58QERxEdFEl1X72ka/EBKStI\n1zI2aaJvyOA0GJBYPBf0lcDC3ssrieigSLYlrgcWPqPFgcNxTO9Hs1ocpMaH8dS/Xs9t16S7fE5U\nWCCP3LUOk8XGj549h9E8907/hMFMeWM/6YlhaCN8P7R0pXDzjlQEgWUlyG/vGaOjd5yNOVrUKgW7\nNiRiNFmdJgwSEr7G36yOHay6pMVdDmKiKFKqryJYGUh6ZLLL5wmCQF5MJmOmCbe1qUm4zkpyEJNa\nw9yDTbRRqq8iQh1GcniCr8PxGZ8q+ig3Ze5hU0Lhos7XTSc7/pi0LJata+O4eUcKbfoxfvNqxZz6\nluKaHixWka35UmuYO4mLDmZjTiw1rUM0tA/7OhzgYmuYow1w98ZEQGoRW040d41Q2TTg6zB8xoXa\nXhRygQI/mxW16pIWdzmI6cf76JscpCA2F7lsYV77kq7Fd6ykWS1OEb5UaVkSzUPtjBnHKYrLW5ZW\nx94iJjiKT2/4xLwuiLOhC3FUWvzPQWwp/N1ta0nWhfDWiRa++D+HeONYExMzzA45VeHQs0itYe7m\nlqtSAXj9+PKotpys6EYuE9iSZ3eIS4jRkLUmnJK6XobG3DvcWmLhiKLID357hm/+4ji9q3CGzsi4\nkcbOEXJTopx27v7Cqkta3OUgVqq326MW6nIXfK40ZNJ3aIICiIkIpNnFHvTljCPxSpOcw5bEhe7V\n3RrmLmKCIpELMnr8UNOyFFRKOd/8u63sKIyjvWeMX/ytnAe++zaP/eUCta2DiKKI2WLlXHUPsZFB\npMRJlVF3sz5LS3x0MEcudC7Khtqd9A5N0tA+TEFG9GUOcbs3JGET4egFyTnU17Tqx+gZnMRiFfnL\ne3W+DsfrXKjrQxRhffbChggvB1Zd0hKoVBMdFLnk1ixH0lK0iKQlVhNDRGAY1b31C7LLlHAPqXFh\nDI8Z/X7Hq7lzlAClnPgYja9D8WtKuysRBIFCXY6vQ/Fr5DI5McFRzgGVqwldVDDfeGALv/3WPu6/\nOZdwjYp3z7TxlceO8sijh/j1KxUYjBa2rtWt6mqep5DJBPbvTMVssfHumTafxuLQrWwvuLwN8Op1\nCchkAh+cl1rEfM2ZaRc/hVzgvbNtdPf7l+PhUrBYbbx7uhXwPz0LrMKkBewtYkNTI4u25rRYLVT2\n1hEfEktMcNSCz3foWkaMY34518DfuThk0n+rLWaLjbaeMZJ1IcjnsGaVmJtx0wR1g81kRaaiWeBA\nRYkr0WliGDWOu8Wd0R+JCFVz594sfvWN6/jOZ7ezozCONv2Y0xZZsjr2HNduXoM6QM6bJ5p9Osjx\nVLkeQbjydx0eomJDtpaG9mHae8Z8FJ0EwJkq+4DXh24vwGYT+fO7tb4OyStYbSL/81wxZQ39bMjR\n+mWXxipNWuxi/MVWW+oGmpiyGBfVGuYgLyYLkKyPfYFDA9Lix7qWjl77rBl/vOksJ8p7ahBFkaI4\nqTXMHThtj1eRGH8mZDKBDdnay6ovH9+TQV7qwje5JFxDE6hkz8Yk+oYMnKnyzWbgyLiRyqZ+stdE\nEBl6pTZs9wa7IP+wVG3xGcNjRurahshLjeTGbSkk60I4VNy+4hNJm03kiedLOFbaRV5qJN94wPVR\nHcuJVZm0OHUti0xaSqetjpcy08Ehxq/sW339lL7GWWnxY12LQ8+SugL74893VTBs8E5C6dCzrJeS\nFrfgz7bHnsJRfXnwlnypKuph9u+0C/Lf8JEg/0ylHpt4ZWuYg61rdQSq5HxwvkNqDfcR56r1iCJs\nydMhkwncc0MONhH+/M7KrbaIoshTr5Tz3tk2MpLC+ffPbEMd4F8CfAerMmlJctoeL85BrExfjVwm\nJ39aUL8Y4kNiCVOHSroWH6CLCkYVIHdaBvsjjta21BVWaWkZaueHR5/kf0/+xuNriaJIaXcVISoN\nqRFJHl9vNXDR9nj16VokfE9yXCiFGdGU1vf7ZOf85LSeZdssSYs6QMH2gnh6Byepbhn0ZmgS05ye\n1rM4BrxuL4gjLSGMo6WdLg+J9Tf+8FY1rx9rJlkXwnce2k5woNLXIS2aVZm0JITa/1gXM2By1DhO\n01AbOdHpqBdpDQp2XUtuTAZDUyPSrqSXkckEUuJCae8Zm3cg3HKlqdNeiVhpTkRnO0sBu7NeVa9n\nq5BtI50MTY1QpMtzToOXWBoXbY+le5qEb3BUW1738rDJySkzF2r7SIkLJT56dnMUR4uYO2a2PPtW\nNZ//8cEV+7DtbkxmKxfq+kiICSZh2sBGEAQ+dWMOogjPvV3j4wjdz/Pv1fHC+/XERwfzvc/tIDQ4\nYP6TljGr8pNarVChDY5alKalvKcaEZHC2MXrWRzkT+taKj38cCZxJbkpkVhtIjXN/rfbJYoizV2j\nxEUFE6T23x2TmSjuKnf22b5Q+YZH13K2hklWx25DGxSFIAj0SEmLhI/Ymq8jOkzNwXPtM87Ll1xQ\nLQAAIABJREFUuZS6tiG+8OOD/MkNrUHFNb1YrLZ5zRYKM2OICFFxrLQTs2XxhgGiKPLO6Vba9GN8\n9fGjFNdIpj7zUdbQj9FkZXPe5bOSNufGkr0mgpPl3TR2LI8Bpe7g1SON/OGtarQRgXz/4Z1EzKCz\n8jdWZdICkBgWz4hxjFHj+ILOu6hncUPSop0W40vzWrxOUaZ9R7i0wf8ergZGphibNJGasLKqLIOT\nwzQNtbFWm0WRLo/K3jqPGlWU6qsQENzyXpawo5AriAmKRL/KZrVILB/kchk37UhlymTl4Ln2WY87\neK6Nrz95jFb9GH99v27J811Olts3QXcUzp20yGUC16xPZGzSzPklJBodveMMjRlJig3BYrXx3V+f\n4o3jzYu+3mrgTNXlrWEOBEHgnhvtlvcrpdry9qlWnnqlgshQFd97eAcxEYG+DsktrNqkJWlajN+x\nAF2LKIqU6asJUWlIcUMPfEKojlCVhsreWknX4mXy06KQywRK65f3w9XklJmmzhGOl3Xx4sF6nnih\nhB8+cxa46IK2UijuKgdgY3whd+bvB+CvHqq2GMxT1PQ1kBaxhlB1iEfWWK3oNFqGpkaYsvh2yJ/E\n6mXf1mQUchlvHG/CZrv8s9VqtfHrVyr46Z8uEKCQsWt9IiaLjQOnWha93kKHh+7eaG8RW8rMlrLp\nz67bd6Xzn/+4k9BgFb94qYxfvVyO1SY9T3wYURQ5W9WDJlBJXkrkFa+vz4ohLzWSs1U91Lb6XwfG\npZws7+LJv5YQEhTA9z63Y852RX9j9SYtTjG+6y1iHaPdDBqGKYzNcUsPvCAI5GmzGDJIuhZvE6hS\nkLUmgob2YcbnaSHwNiPjRr7z61Pc++23uOvf3uSRRw/xw2fO8rs3qnj7VCu1bUNoIwLZ+qHdIn+n\nuKsMgE3xhWRFp1Gky6Wit5bqBVQiGwZa+Pf3f8K5zrI5jyvvqcEq2lgnuYa5HYeDmNQiJuErwkNU\nXLM+gc6+CUou2ZgamzTxH0+d4pUjjSTFanj0S7v4xzsKCVIrePN486LbtUrr+zEYLWwviHPJRjY9\nIYykWA1nKvXztrDNumZDPwCFGdHkJEfyk0euYY0uhNeONvH9p08zObW8Ptd8TXPXKP3DBjblxiKX\nX/n8JggC995or7r/8W3/dRIbGpvi8edLCFDK+e7ntrNGt7I6MqSkZQFifHdYHX+YtVpJ1+IrijJj\nsIlQ0djv61Au468H6zlX3YMqQMGGbC0370jhM7fl82+f3sITX9nDC/+1n998c9+KqrQYLSbKe2tJ\nCo1Dq4kG4I4FVltGp8b4n+O/oqa/kZ8c/yWHmk/OemyJvgqAdXHuey9L2HGI8bvHJAcxCd/htD8+\nZm+Zau0e5cv/e5iS+j625On4yRevIT5GQ5Bayb6tyQyOGjla0rmotU6U2Z8jZrM6/jCCILB7QxJm\ni8157kKw2kTKG/rRRgahi7IPxY2NDOJHX7iaDdlazlX38LUnjtE7NLnga69UnK1hebNv9hVkRFOY\nEc352l6qmge8FZpb+eXfyhmbNHP/zblkJIb7Ohy3s2qTloSQWARBWJAYv2z6QccdInwHeQ5di5S0\neJ2iTPvDcWnd8tkRHp808fapFiJDVfzia9fync9u5x8+XsTtuzLYtjaO5LhQv/VXn4vynmrMVjMb\nEwqdX8uOTqcwNpfynlpq+hrmPN9ms/H46d8yYBhid+p2gpSB/PzM73m15t0rjrVbHVcSrAwkIzLF\n3d/Kqkea1SKxHMhaE0HWmnDOVut59WgjX3nsCPqBSe66Lot/+/SWy0xMbrkqDZkArxxpXHCrttUm\ncrpST3iIipzkK9uOZmOXw0VsES1izV0jjBvMFGVEX/b14EAl//6ZrezfmUpL9yhf+dkRzlTq6eof\nZ8poWfA6K4kzlXrkMoENOdo5j3NUW5474H/aluNlXRwv7SI3JZJbdqb5OhyPsPKeflwkQBFAbHA0\n7SNdiKI4b0nXZDVT1VdPUmgckUHuy14TQnSEqUOp7K1zKQ4J95GdHIkqQL6sxPhvnmjBYLRy13XZ\nKBVyX4fjNc459SwFl339jvz9lPVU80LlG3xr9yOznv/Xqjcp1VezPm4tD2++l67sHr5/+DGeLX2J\nUeM4nyq83fne6hzT0zc5yPakjchlq+dn7C0uzmpZPu8ridXJ/p1p/PRP53nq5QpUAXK+fv9mdhbF\nX3FcbGQQ2wviOV7WRUXTAAXp0TNcbWaqmgcYnTBxw7ZkZAsYHhobGUR+WhTljf30DRkWJJQuq7/Y\nGvZh5HIZD3+skIQYDb9+pZzvPX3a+VqQWkFEiJrIUPt/EaEqdhbFLyjZ8kcGRgzUtw9TmBE974yS\n3NRINuRoOV/TS1lDH4UZMV6KcmmMTpj4xUtlKBUyvnjXugX9LfoTq7bSAnYHsTHTBCPG+YdQ1fQ1\nYLKa3doaBvYycX5MJkNTI3RLA9m8ilIhIz81ivaecQZGDL4OB6PZymtHmwhWK7hpR4qvw/EaNtFG\ncVc5ISoNmZGpl72WE5NOQWwO5T011PQ1znh+SXcVL1a+SUxQJP+09UFkgozEsDi+t/crxIVoebXm\nHX5x9lmsNqvzeIB1bn4vS9jRaqIRkGyPJXzP1evi0UUFoY0M4sf/dPWMCYuD266x70y/cnjm+8xs\nnHK4hhXMfu3Z2LU+AVGE42ULa0srm95oK8yc/YH61qvT+M9/vIo792ayd3MSG7K1aCOCGJs0Ud7Y\nz+ELHbx8uJF/+78TtKzwOS/nqu0ubR92DZuNT91gdxL7y7v+0wHz61fKGR4z8qkbckjUrlxzmVWd\ntCzEQaysx65nKfTAg47UIuY7HC1iZQ2+17UcPNvG8LiRm3akrrj5K3PRNNjGyNQoG+MKkMmuvCXN\n5STWPzHI46eeRi6T8+Wdn0WjCna+FhMcxfeu/QppEWv4oPkEj554CpPVTKnePp+lSNKzeIQAuZKo\noAjJ9ljC5ygVch7/lz386hvXzasBzE2JJDMpnDNV9nYqVxBFkZMV3QSrFRTMUPWYjx2F8chkAsdK\nXNe1mC02KpsGSIrVEDnP3I38tCjuvzmPL31yA9/57HYe/8oenvvuTbz037fy9Df38chd6zCZrfzw\nmTMrWrh/pnI6aZlDz3IpWWsiyEwKp7JpwC/a6s5V9/BBcQcZSeHcvivd1+F4lNWdtITZkxZXHMRK\n9dUoZQpyYzLcHodjXkuFlLR4HcdOla+tj602kb8dakSpkHHb1SuzF3U2zk27hm1MKJjx9ZyYDApi\nsynrqaa2/+IuqMVq4acnnmLMNMGD6+8kPTL5inND1SF8e88/s1abzdnOUn5w+HGqeutJDk8kMnDl\niRSXCzpNDAOGIUwWk69DkVjlqFUK5C60ygiCwEeuSUcU4bWjTS5d+3xtL31DBjbn6VAqFv44FaZR\nUZgRTW3bED2Dronm69uHmDJZl9S2pFTIiIkI5LotyXx0dwadfRM8/nzJihy9YDRbKanvIylWQ1x0\n8PwnTFOYEY3VJlLdsrztjycMZp58oQSFXOCRu9bP6Iy2kljZ3908JIY6HMTmTlqGDSO0DneQE5OB\nShHg9jjiQ2IJV4dSNa1rkfAeafFhhAQpKa3v9+nP/kRZF90DE1y7KWlFTK1dCMVd5ShkCormMLiY\nyUns96UvUj/YwlXJW7g+/epZzw1UqvnGNZ9na+J6qvvqMdssUmuYh3HaHk/4voIpIeEqO4viiQ5T\n896Ztnmt8Fu7R/nxH84hlwlOp7LFcFVRAgDHXHQuK2uYXc+yGO6/OZe81EiOlXbx+rGVN5yytL4P\nk9nqcpXFwdppXVP5MnMX/TC/fb2S/pEpPnFdtkszgvydVZ20xIfGIpfJOdtRQv3A7G/Wsh67i4S7\n9SwOHPNahqdG6R5b/IRciYUjkwkUZETTP2ygu3/CJzGIoshfD9YjCPCx3a5V8saNi4+1oqeWJ07/\nblnsgvdPDNI63EG+Ngu1cvZkLTcmk7XabEr11dT1N3G87SwH6g+RFBrHZzfdM6+BhVKu5J+3/z3X\np1+NIAhsS9rg7m9F4hIctseSGF/Cn1DIZey/Ko0pk5V3TrXOelzfkIFvP3WSiSkLj3xyPTkzDCt0\nle0FcchlAsdKXUxa6vsRhIsP1UtFIZfx/+7bRJgmgKdfq/D7wYof5kzltNXxAuea5aVGIhOgonH5\nWh+X1vXx9qlWUuJCuePaTF+H4xVWddISIFdyf9HHGTWN8+2Dj/Juw9EZd9tLp62Oi3Tuszr+MPkx\nUouYryjycYtYSV0fTZ0j7CiIJz5m/sm1lb11/N3LX6Fsem7QQjnYdJwjLaedOi1fUjyLa9hMOKot\nvz3/PL84+xxqhYp/2flZ1AqVS2vJZDIe2nQPz3zspzO2kkm4D6eDmKRrkfAzbtyWjCpAzuvHm7Ba\nrxw2OW4w8x+/PsnAyBQP7s9jz8akJa0XGhxAUVYMDR0j82ppjGYr1S2DpMaHERrsvq6PqLBAvvKp\njVhtIj/8/TlGJ3y/oeUORFHkbFUPocEBZC/QIS1IrSQ9MXy6Hc/9upahsSmstsV3dxiMFh5/oQSZ\nzN4Wtpj2RH9kdXyXc3BT1h7+7Zp/IlCh4qniP/KLs89isl4sC9tEG2U9NYSpQ1kTluCxOPK19ixZ\nEuN7n3XOpMU3ZeAXP7BPfP/4ta5VWVqH7b7+DYMti1pvwDAEQJne9z70Dj3LpvjCeY6EPG0m+dos\nGodaMVqMPLz5PuJDF7Z7Bric5EgsHkd7mOSIKOFvaIIC2Lspib4hAyfKL28dN5mt/OC3p2nTj3HL\nVal8bI97NK5XT7eIHS+dW5Bf3TyAxWpzbrS5k3VZWu65IYf+YQOP/rEY2xIeqJcLjR0jDI5OsSk3\n1iVd04dZmx6NxSpS2zLk1rjOVffw4Hfe5quPHVm0c9sf3qqmZ3CSj+3OICNp9egzXUpajEYj119/\nPS+//DJ6vZ777ruPe++9l3/+53/GbPZ/x4lCXS4/3PcNp8vQv7//E/om7CXBtuFORqZGKYrN9egM\nlbiQWCLUYVT21Uu6Fi8TFx1MdHggZQ39Xr9RN7QPU1rfT1FmNJlJES6dM26yCzb7Jxd3I3WcV97j\n26TFYJ6isreO5PBEooNd2wW7a+1tyAQZ+7P2smPNRg9HKLFYtBp760qPlLRI+CG3XWN3YHrlyEXj\nD5tN5NE/naeicYAdhXH8/UcK3PZMsG2tDoVc4Og8uhZ361k+zCf2ZrEhW0txTS9/PVjvkTW8yWlH\na9gC9SwOCtKjAPfqWiYMZp54oQQRqG8f5kuPHuLZt6oxW6wunT9lsvDKkUZeP9ZEQoyGu/dluy02\nf8ClpOXnP/854eH2TO5nP/sZ9913H88++yxr1qzhxRdf9GiA3iImOIrv7v0Ke1J30DTUxtff+S/K\n9NWUTrfgeErP4sCua8lkZGqULknX4lUEQaAoM5qxSRPNXSNeXfuvjirLHtf7UcdNdj3LwCKSFpto\nY9AwDNiHLC7mGu6irKcai83iUmuYg5yYdH71kf/m/nUf92BkEktFrVARERgmtYdJ+CUJMRo258VS\n2zpEzbTG4zevVXC8tIv8tCj+5Z6Ni9q5nw1NUADrs7U0d43S0Tv73Liy+n7kMoG8VM8Mg5TJBL58\nzwaiw9Q8d6DaOQ/GXzlTpUchF1ifvbjKVF5qFDLBvUnL796oYmBkiruvz+bfP7OViFA1f3mvjkce\nPUR18+x6otEJE396p5bPfP9dfv1KBQFKOV+6ez0BytU1IHnepKWpqYnm5mZ27dpl7w88e5Y9e/YA\nsGfPHk6cOOHxIL1FgFzJw5vv5bOb7mHSMsUPjjzO63XvA1Cgy/H4+g7r48reWo+vJXE5RT5oEevq\nH+dkWRdpCWGsy3L9puqotCwm4RiZGsNqsyJg/8BdrC7GHRR32vUsrrSGXUqoSuPRqqeEe9BptPRP\nDmG2+n81XmL18RFHteVwIy8fbuDVI00kxYbwzU9v8ciDotNFbJYWsQmDmfr2IbLWRHh0jleYRsXX\n7t+MIAj8+A/Fy2Lw8mLoHzbQ1DnC2vToRf+8ggOVpCWEUdc27BZdS3lDPwdOtpCsC+GOvVlsztPx\n5Ff3sH9nKh2943ztyaP88qWyy2bm9AxO8su/lfF333+HP75dg80mctd1Wfz6X68nZ4E6nZXAvEnL\nj370I77+9a87/99gMKBU2v8AoqKi6Ovz70z8wwiCwHXpV/Pda/+FCHUYI1OjpIQnEq72vJVcvtZe\n5qvs9f+yrL/hKLeXumlnqXdokuEx45zH/O1QIzYR7tiTuaCH8AlnpWXhLi+ORKdwOgn3lRjfZrNx\nvruccHUoaZFrfBKDhGeJ08QgItI7sXzddyQkZqMwI5qUuFBOlHXxm1criQxV8x8PbUMT5P6xB2Bv\nEVMqZLNaH1c2D2ATPdcadik5KZF8+tZ8hseNfOWxo3xQ3L6g1mmbTeR4aRff+81p6tt9U80/W7W0\n1jAHdl2LjdrWpX0fUyYLjz9fgkyAL14inA9SK3n4Y4X88PNXkRCj4fXjzXz+xx/w3plWfvJsMZ/9\nr/d4/VgzIUEBPPSRtTz9rX3ce1Mu4SGrU5upmOvFl19+mc2bNxMfHz/j6wvRXhQXFy8ssmXAPbE3\nc2zwPBmByV6JXxRFNPIgSrsqOXfunLSb7AYW8nuLDlVQXt/H6TPnUMgX/7MfGrfw5Bs9WKwiidEB\n5CSqyU4IJDpU4fydjhmsvHu6mwiNHJWlm+JivcvX1w/adQITZgMnzp5EJXP9Q7R23G7tHWkORSMP\n4kJnhU/+1joMPYwaxykMzeLC+QteXdsb+OP9zt1YR+27hcdKTpIRLCWm3kD6u3MvRWvktHSDSinw\niZ2htDdV0+7B9dJ0AdR2jPHWwVNowy6vDrxbbG/rVYuDXvk9JwSJ7FobwrGqMR7943n+fKCcGzaE\nk6y98mHZEY8oitR2TvFB2Sg9w/b3/8DgEPdd637jgPk4eNreNRFo66O4ePEJR6BorzS9e6wcy2jY\noq/zzoVhugcm2J6jYayvieIZ9kcf2BPG0QqBY1Vj/OwvJQBow5XszNWwNjkIuWyYqorhRcewEpgz\naTl8+DAdHR2888479PT0oFQqCQoKwmQyERAQQE9PD1qt1qWFNm70T9HsNcw+tM4TrDOXcaztLLrM\nBBLD4ry69kqjuLh4QX9321rLeP14M5roVPLToha97v88V4zFKpISF0qbfpSOfhPvlYwSFx3M1nwd\nW/N1lHX1YLXB3Tfks2XzwgaT/V7/KkwXcdZkpSzo70RfOwx6WJ9diLUTjrSeJjpdR0pE4oJiWCq1\nZS9DJ9xYeC0bE4q8uranWejf3UrF3C5w+MRZNLGhbMyWfh6eRvq7cz9F62yERNazPktL1hrXjFKW\nwrjQQe1zxQyZw7lp4+Ut6b/74AMCFDJuu36b13QMmzbBfYOT/P6NKo6UdPLb9/rYXhDHg7fkER9t\nt+cvLi5mw4YNXKjt47kD1dS3DyMIsHtDIu29YzR2jJCQkoMuyvVp9O7g/w68S7hGxXW7ti7pOtl5\nZv589E36JwMW/f6qaxviVM0R4qKC+fIDu1AHzP7ovW0L3NE1wqHiDgoyotmYo12VG9izJeZzJi0/\n/elPnf9+4oknSExM5Pz58xw4cIDbbruNt99+m6uv9u5D/UonX5vFsbazVPbWSUmLlynMjOH1482U\n1vctOmlp6Bjm0PkO0hLC+OmXdjFuMHOuuofTld2cr+nl5cONvHzY7kgTrlFx7eaF70A7hPhgdwJb\nyN+Joz0sKiiCQl0uR1rt81q8nbQUd5ahlCspiPXc7CMJ3+KwPZYGTEr4Kwq5jLuu85470+a8WAIU\nMo6WdHL3vmznw+rIuJGW7lGKMqO9LryOjQziq/dt4tZr0vjNKxWcLO/mbJWem3em8snrs2numeIv\nTxyjusXerryzMJ67b8gmWRfKwXPt/PRP53n7VCsP7PesmdGlGIwWegYn3dJKpwlUkhofRl3bECaz\ndcE/f7PFxmN/uYBNhH/6xLo5ExYHqfFhpMYvvqqzklnwnJYvfvGLvPzyy9x7772Mjo7y0Y9+1BNx\nrVqcYvw+aV6LtynIiEYmLG3I5DOv2weRfvqWPGQygdDgAK7dlMQ3HtjCc9+9if94aBs37UghIUbD\nfTfnolrgDdAm2hg3Tzr/f6G6ln7DxaSlINa+k1fuZV1L73g/7aPdFGizUSk80x8u4XtipaRFQmJB\nBKmVbMqLpaN3nFb9RRcxh3tVYYb326wc5CRH8qN/upqv3b+JqLBAXj3SxIPfeZtn3u+numWQrfk6\nfvbl3Xz9gc0k6+wa4J1F8WgClbx3pg2z5cpBnZ6ivcf+s0uJc48WuSA9GrNlcbqWv75fR6t+jBu3\np1DgBT3SSmf+lG+aL3zhC85/P/300x4JRsL+QR8ZGE5Vbx2iKK7KsqCv0ATaJ+DWtg5hMFoIVLn8\n9gDgfG0vJfV9rM+KYV3WlW2TAUo5G3Ni2ZgTu+gYDeYpRFEkUKHGYJlyDop0lYHJIeSCjHBVKDKZ\njKTQOKr7GjBZzQTIPedIcymOgZIbF+gaJuFfBCrVhKlD0Y9Js1okJFzlqqIETpR1c7Sk0/nQXTbt\nalmY6duHXkEQuKooga35Ol472szrx5sIU9v4h09snbF9TqWUc+3mJF490sTpym6nQ5qncQxsXKNz\nT9KyNj2KV440UtHYv6DEo7V7lOffryMqTM2DXqw0rWQWXGmR8CyCIJCvzWLUOE7HaPf8J6xS2ke6\n+L8zf2DKMrdD10IpyozBahOpbFqY45HNJvK71ysRBHjwlny3xnQpjtaw5HD7zb9/YuFJS2RgODKZ\n/a1foMvFZDVT1984z5lLx2Qx0TPex+kOu/B+IfNZJPwTnSaG3skBLNal24VKSKwGNufGogqQc6yk\n02l2VFrfR6BKQWbi8ph8rlTI+dieDJ7+5j7u3RMzp97nxm0pABw42eKV2ABa9fakJTkuxC3Xy0+L\nQhCgvNH15wKrTeSx5y9gsYr84x1FBAd6Z1NwpbOwrWQJr5CvzeJo6xkqe+tICpvZuW2187fqtznW\neoaN8QVsSVzntusWZUbz14P1lNb3sSnX9YrIofMdNHeNsmdjImkJnutFdcxoWROeQE1/IwMG19vD\nrDYrQ1MjZEelOb9WGJvLm3UHKeupYW2se2YRlemrKdFXMWwYYWhqhGHDKENTI0yaL/r9p0WsITJo\neXwAS3gOnSaG2v5G+iYHiQtxzbRFQmI1o1Yp2Jwby7HSLpo6RwgNVtHVP8HmvFjkcv/bZ06KDSE/\nLYrS+n66+sedAn5P0tZtbw9bE+uepCUkKICUuFBqWwdd1rW8drSRurZhdq1PXLLtssRF/O8dsArI\nm9a1VEnzWmbEZrNRqrdrR7rd3HqSmxqFUiFzluNdwWS28uyBapQKGffe6FlhuaPSEhkYTohKQ/8C\nBkwOGUYQRZGooIu7YnnaTOQyuduGTFqsFn5y/Je8Xvue01BixDhGVGA4BbE5XJO8ldty9vHw5vvc\nsp7E8uaiGF9qEZOQcJWr19kr6UdLOilvtGvCfKlnWSo3bksG4O2TrV5Zr1U/ijYyyK1DOAvSozFZ\nbNS1zf+Z2zs4yR/eqiE0OICHbl/rthgkpErLsiQ2OJqowAgq++qwiTZkgpRbXkrjUCtjxnEAusd6\n3HptlVJObkokZQ39jIwbCdPMP8Dp9WPN9A0Z+OjuDLSRQW6N58M4khZNQDDRgRF0juld1j71O53D\nLk7RVStUZEelUd3XwJhxnBDV0nbBGgZbmbIYuSp5C3cX3Ea4OhSll7QyEssPXch00jLWB5IZooSE\nS2zMjSVQJedYaRf5Y3YnyyIf61mWwo7CeH71cgXvnW3j3ptyUCo854A2Mm5kaMzI5rzFa0dnYm16\nFK8ebaKiaYC16XP/Ln73RhUms5XP31Ho0jOEhOtIT8PLEIeuZcw4TseIpGv5MBe6K53/7vbADq5D\n7OhwbJmLsUkTz79fhyZQySf2Zro9lg8zbrS3h2kCgokKjsRkNTN2iQXyXDhayaKDLu8/LojNQUSk\nord2yfFVTl9jS0IRMcFRUsKyyonT2FvCJAcxCQnXUSnlbMmLo2dwkmMlnYQEBTgdufyRAKWcvZuT\nGJ0wcarc9UHKi6Ft2nXN3T+v/LTp54KGuZ8LqpoHOFrSSdaacHZvSHJrDBJS0rJscbaI9UktYh/m\nQneF3QFLHUqXB5yJijLtu8OlLrSIvfB+PRMGM3fuzUIT5Hn73ouVliCiA+3Jx4CLLWKXzmi5lEKd\nvaWtTF+z5PgciY/DultidSPZHktILI6r1tn1rCaLjcKMaGQy/3YSvWG6RezAqRaPruMU4evco2dx\nEBps17XUtA5htlhnPMZmE3nqlQoAHvpIgd//zpYjUtKyTMnX2nftK3uleS2XMjI1StNgG9nR6aRG\nJDEyNcqkyTD/iQsgMzGcILWCoxc6+Mt7tQyNTs14XO/gJK8dbSImIpBbrlrYVPvF4hDiawKCncmH\nq7NanO1hgZcnLekRyQQrAynrqXa61SwGuwtZE8nhiUtuM5NYGQQHBBGi0kiaFgmJBbIhW0uQ2t7B\n72urY3eQqA2hID2asoZ+OvvGPbaOY75NsptmtFzK2vQoTGYrdW3DM77+QXE7De3DXLM+gZyUyBmP\nkVgaUtKyTNEGRxMdFElVbx3tI12UdFdxsOk4z1e8zi/O/IEfHH6cf3nru3zj3R8yOjU2/wVXCKX6\nakRE1setdbaedLlZ1yKXy3hgfx42UeTZt2r49Pfe4b9/f5byxv7LHuqfPVCNxWrj3htzvTal2Flp\nUV1MWlwV4zsqLR9uD5PJZOTHZtM3MUDPEnbE6/qbMNssrNV6b4K0xPJHp4mhd2IAq23m3UkJCYkr\nCVDKuaooAblMYP0Mc7/8kRu3T1dbTrZ4bI3W7lFkMoFErfs3zhxaloqmK7swDEYLv3/+5sJJAAAg\nAElEQVSzigClnAf3e27swWpHEuIvUwRBIE+byZGW0/zLge/NeIxKocJoMfLLc8/xlZ2fWxWDKC90\n20uv6+Pyqe5rAOwOYhlRKW5d5+YdqezekMgHxR28daKZY6VdHCvtIik2hJu2p5ASH8qh8x2kxoey\ne0OiW9eei8vaw6YF9QtJWpRy5YxVkMLYHM50lFDWU4Nukda0jqqg1BomcSk6TQz1A830Tw4628Vm\nonW4A5kgk2zeJSSmeej2tXx0dzpx0cG+DsUtbC+IIzQ4gPfPtnPfTe7f7BNFkVb9KAkxwR4R+69N\ns5siVDQMcNd1l7/24sF6BkeNfPL6bGIiAt2+toQdKWlZxtyStReTxUzI9K56ZGA4UUERRAWGExkY\nToAigO8d+hlnO0s51HySPWk7fB2yR7FbHVcTFRhBUlg8w1P23tXucfdWWhwEqZXs35nKzTtSqGoe\n5M0TzZwo6+JXL5c7j3nwlnyv9q2OmyaRCTICFWpnxcTV9rCBySGiAsNnTG4LY6d1LT3V7Mu4ZlGx\nVfTW2pPtGM8bEkj4D7pLdC2zJS19EwN86/2foAkI5slbvr8qNmAkJOZDHaAgUetebYYvUSrkXLd5\nDS8dauBEebfbN/z6h6eYnLKwPtszpgVhGhXJuhCqWgYxW2woFfZmpd7BSf52qIGoMDUf35PhkbUl\n7EhJyzImJSKJL+98aM5j/nHL/Xzl7e/z2wvPk6fNnHMn099pGGxh3DTB1rT1CIJAfIjd0tATYvxL\nEQSB/LQo8tOiGB4z8u6ZVt4700ZGYjgbsr1bth83TaAJCEIQBCICwxAEwSUhvtlqZsQ4RmLYzL6z\nsZoYYoKjqOypxWazIZMtrHN0ymKkYaCZtIg1BAVIu0wSF9E5HMTG+iiaYcaaKIo8de6PTFmMTFmM\n9E8OEhMc5eUoJSQkvMEN25N56VADB062uD1pcYjwUzygZ3GwNj2aVn0zDe3D5Kbaux1+90YVJouN\nB/bnoVZJj9WeRNK0+DkxwVF8ZsMnmbIYeeL0M9hsNl+H5DEcVsfr4+z9opFB4SjlSrfPapmL8BAV\nd+7N4pffuI6v3rfJa+s6GDdNogmwtwrIZXIi1GEuJS0DBrtw8MPOYQ4EQaAwNpcJs4HGoYUPAKvp\na8Qq2iQ9i8QVOGe1zKKXOtp6hhJ9FQHT9ti1/U1ei01CQsK7xEdrKMqMprJpgPYe9+pxW7s94xx2\nKQXpl49EuNTieNd677WKr1akpGUFcHXyFrYlbaC2v5FXat7xdTge40J3BXKZnILYHABkgow4jZbu\nsd4luV75C6IoTldaLvY3RwdFMmgYnjdZnU2EfymFOvvPtbxn4dbHlU6rYylpkbici+1hV1ZER6ZG\n+d2FF1ApVDy8+T7AbuggISGxcrlhWwrgfvvji3bHnqu05Dt0LY39dovj6XZxyeLYO0hJywpAEAQe\n2ng3Eeownq94jeahdl+H5HaGp0ZpGmojNzqDQKXa+fW4EC1TFqNT37KSMVqMWG1WNAFBzq9FBUVg\nFW3zfv/OGS2Bs9swrtVmIyBQpq9ecGwVvbXIBRk5MekLPldiZaMJCCZYGThjpeW3559n3DTB3QW3\nsTVxHQqZgroBKWmRkFjJbFsbR7hGxcGz7RjN7nMVbNWPEaCUExvlOeOC8BAVSbEhVLcM8u6ZNho6\nRti1PlGyOPYSUtKyQghRafiHLfdjFW08duppTBaTr0NyKyXTrWHr4i63EoybdrryZouYr7h0RouD\ni7bHc4vxHa/P1h4G9r+h1IgkageamDLPPJtmJiZNBpqG2siMSkWtULl8nsTqQBAEdBotPeP9l1UE\nz3WWcqK9mKyoNG7M2I1SriQtYg0twx1MWYw+jFhCQsKTKBUy9m5OYtxg5gdPn3bL3Bar1UZ7zxhr\nYjXIPVzxWJsexZTJyq/+VkaAUs4D+/M8up7ERaSkZQWxLi6PGzN20zmq549lL/s6HLfiSFo2xK29\n7OveEuMvBy61O3bgdBAzzK1rcaU9DKBQl4vVZqVq2k7aFar66hFFUWoNk5gVXUgMFpuFwWlt1aTJ\nwFPFf0IhU/Dw5nudxg9Z0WnYRBuNgwvXVUlISPgPH782k3WZMVyo6+MLP/6A379ZxZTRsujrdQ9M\nYLbYWOPB1jAHDl2LyWLjY7szJItjLyIlLSuMTxV9lIQQHW/Wf7CoNp/liNVmpVRfRXRQJAmhl9sP\nXUxaVkOl5eJgSQeOWS3zifGd7WHzJS2xC9e1OOazrI2VkhaJmXE6iE3rWp4tfYkhwwgfy7vpMke7\n7Og0QNK1SEisdEKCAvju57bz9Qc2Ex6i4oX36/mH/36foyWdi9Koturton5P6lkcrE2PQhCQLI59\ngJS0rDBUigD+aduDyAUZT555hnHjhNdjEEWRku4qHjv5tPOBdinUD7QwYTawPi7/ivkNUnvYdHvY\nxNztYQOTQ6gVKoKUc+8IZUWno5QrKetxPeGt6K1FKVOQGZXq8jkSq4tLZ7VU9NTyXtMx1oQlcHvO\nvsuOy4qyJy21kq7FrxgyjPg6BAk/RBAEdhbG83//71ruui6L4XETP/rDOb75ixNOUb2rtHV73u7Y\nQUSImm88sIVv//02yeLYy0hJywokLTKZO9fewpBhhF+f/7PX1rVYLRxuPsVX3/4B/3nkcY61neXn\nZ36P2Wpe0nUvdFcAF62OLyVEpUETEEz3Km0PcyYt87SH9RuGiAqKmHdoX4BcSX5MJu0jXTS50KIz\nahyndbiD7Oh0p2WthMSHcdgetw538stzzyEIAg9vvheF/PIP/IjAMGKCo6jvb1oVjoArgeNtZ/nc\nq193tvBKSCwUtUrBvTfl8uT/28Om3FjKGvr54v8c4jevVmC1uXYfaHE4h8V5Zxjn9oI4UuPDvLKW\nxEWkpGWF8pGcfaRHJnOi7dys8xHcxaTZwKs17/KFN77Fk2eeoWO0m51rNrFzzSb6JgZ4t/Hokq5f\n0l2JQqaYdQZIXIiWnvE+rDb3uZAsR2aqtISqNChkijnbw6YsRiZMk/PqWRzcmnM9AH8qf2XeY6um\nK2n52iyXri2xOnFUWt5tPErPeB/7s/aSEZUy47HZUWmMmSbonsEiWWL5caz1LABHWk77OBIJfyc+\nWsO3/34b3/rMVmIjgnj5cCNHLnS4dG5r9xjBgUoiQ9XzH+wC/ZODDEsVxGWHlLSsUOQyOdenXwPA\n6fYLHlljcHKYZ0tf4h9e+1eeLX2JCbOBmzP38Nj+7/LI9s/w6Q13EahU82Llm0yaDItaY8gwQvNw\nO7kxGaiVM9+M4kK0WEUbfRMDS/l2lj0XKy0XkxaZICMqKGLOpOWi3bFrSUtBbA6FsbmU6qupmEfb\nUjE9n0XSs0jMRagqhECFGptoIzY4mrvW3jrrsVmSrsVvMFlMTv1bcXf5kqvqEhIA/5+9+4xv6z7v\nBf472IsLILj3FkntLUvWtGwt2/EeVdI0zk0+TdKmjZvETtqkTprR3DjDt26apHVjxyOO4yFZtmxZ\nEmXtQS1qcO9NAuDAXue+AA84AQIgSKzn+yYxCRz8KVEknvOsNeVp+P4X1wEAjl+afYWD1eZAz6Ae\nuWlxs1YT+Oq547/E82d+F5RrkeChoCWKrc5cAh7Dw7mOy0G7JsuyuNXfgF+c+T2+8v53cKD2CER8\nER5bfC/+c++/4a9XPIIUuWv5UrxYgfvKdmLUasCBuiMBvR5XcrB8ytSwiWJlghjXnzSxPAxwTQQb\nMo94fMPgaxP+RE8suQ8A8Or1d72W6dzsr4dYIEahMs/na5PYwzCM+9/pl1b/FcQCkcfHuvtaKGgJ\nezX9dbA6bBDxhTDZzO6bGITMVYZagdKcJFxrGIB2xPsI/s5+PZwskBukfhar3Ype/cC8V6kQ/1HQ\nEsXixAosTi1Fk64N/frBOV3LbLfgk6aT+KeP/g3fP/48znZUIzM+HV9a9ST+Y+8P8UD5rklTrTi7\nS7YhSZKAQ3VHA2rWvOIOWqb3s3BipRl/pvIwYDyDwo2TnWrQHbT4vvyqQJmL9dkr0aRtw/nOmTN1\nOtMwukZ6sSi5EAIe3+drk9j0hZWP4R83fHHWrFxuYibEfBEtmYwA1V3XAQAPV+wFAJzvvBrK45Ao\ns3VlFpwsZi0Rax1rwg/W5DCuR1RvNVJvXZihoCXKrctaAQA41xlYtqV3tB9/uPIWvnzgGfz20mvo\nHOnB+uyV+P7Wf8TP7v4Othdu9NqALRGI8XDlHlgcVrx185Bfr213OnC97zZS5Cr3XdqZpCtcn4v2\nZny91QAGzLQJYFwGxVOJmGZssaSvPS2cxxbfCz7Dw+s1783YL3TT3c9CpWFkdkWqPKzLXjHr4/g8\nPopUeegc7oFhLFAn4YdlWVT31CBOrMCe0u1IkMTjYte1SQtECZmLjcsywecxOF7tPWhp55rw04LT\nhM9N47Q77bA4omtRd6SjoCXKrc5aNlYi5l9fC8uy+M2FV/B3H3wPh+qPQsQX4qGK3Xhx77/hHzY8\nhfKUYp9rR7fmb0B6XAqONp/2a59K/WAzjDYTls0w6ngibjJRjz76My0ykdS9iI/D7WoZ9Bi0+F8e\nBrgyWNsK7kDPaD+Ot5yd9nnqZyHzpURVABYsGjStoT4K8aBF1w6daRjL0ysg4PGxOnMpRi161A76\nvpiW42Qp0CHTJSjEWFmWiuauYa8jkN07WoJUHjbxBiDXS0rCAwUtUS5erEBFSgkata1+NarXa5px\nrOUMMuPT8Pfr/wYv7v03PFK5D0pZot9n4PP4eGLJ/XCyTrxx/YDPz7va6yoNW+GlnwVwZXNU0qTo\n72mxGqaVhgE+ZFpMgQUtAPBQxR6I+EL8+eb7sNgn33G62V8PmVCK/MRsv69LiDfuJZOaphCfhHhy\nqbsGALAqYwkAYG3WMgDABT9LxN6oeQ9ffPebcy5hJtFpy8osAECVl2xLW+8IlPESxMk898r5Y9A4\nvvdMb6FsbzihoCUGrB8ryfAn23Ko/hgA4KmVj+OOnNXT9in4a03mMhQr83Cu8zIaNC0+PedK9w0I\neQKfyo8y4lOgMepgtlvmdM5w5gpaZNM+zpV9TfxBO9GgUQe5SAaJQOz3ayZJE7C7ZBt0pmEcbqga\nv6ZBiz79AMrVxdMyP4TMFbeotH7Qt58VZOFVd18Hn8fHkrRFAIAKdQnkQinOd131uQ9AbzHgUN0x\njFoNeOnKm/N5XBKh1lSkQSYRoOpyJ5wz7GwxmGwY0JmCVhoGTK5aoExLeKF3GzFgTeYyMAzjc1/L\noEGLC51XkZuYhXJ1cVDOwDAMnlz6GQDAq9femfWXmtY4hLbhLpSnFHudNMTh+lp6R6Nz2ofVboXV\nYfM708KyLDRGHZJ9HHc8k/vKdkIukuHd24fdP8C50jDaz0LmQ5xYgYy4VDRoWqhHIgxpjUNo0XWg\nQl3i7rET8AVYmbEEGqMOzbp2n65zpOkkLA4rJAIxqrtrcLHr2nwem0QgsZCPO5ZkYHDIhJvN06tF\n2oNcGgZQeVg4o6AlBsRL4lChLkGDpsXj3fiJDjeegJN1Yk/JtqDNPAeA8pQSrEivxK2BBnfp11Qs\ny+J85xX84MSvAHgfdTyRe4JYlPa16G2uFLV8hkyLTCiFVCCZMWgx2kww2y0BlYZx5CIZPrPoHhhs\nJrx3+2MA1M9C5l9JcgFMdjM6RrpDfRQyRfVYadjKjMWTPr5mrETM08TBiewOOw43VEEqlOBftnwd\nfB4fL11+M6qz5SQwW1e6SpCPV0/f2dLWG9zJYcCU8jAaBhJWKGiJEet8LBEz2y042nQSCeI4bMhZ\nFfRzPLHkfjBg8Oq1dyfdQWVZFtd7b+PZIz/Fz0//Fj2j/dhWcAd2FG7y6brpcdE9QczTjhbAlcVS\nyZLcYxonCrQJf6p7ijZDJU3CBw3HoTUO4WZ/PeJEcmQnZMzpuoR4wu1roRKx8FPd7Rp1vDJzyaSP\nL00rh5gvwvnOK7Nm00+1X4TOPIztBRtRpMrDvtIdGDRq8fatD+ft3CQyVRSokJwoxenr3bDYJk+y\ndAct6cEpD2NZdkrQQpmWcEJBS4xYmzVWIjbLoslPW8/BYDPhrqI7vY4yDlROYibuzFuL9uEunGq/\nCMA1Jey5ql/ihyd+jSZdG9Znr8Tz9/wzvrz6r3w+Q8ZYpsWf6WSRxNOOFo5KlgSD1QizbfISrsEg\nBS0igQgPV+6BzWHDf1z4AzRGHSpSSsFj6EcImR9cM34dNeOHFYvdipr+OmQnZLgXCXPEAhGWpVeg\nZ7QfXSO9Hq/BsizerzsKHsPD7uKtAIAHy3dDLVPiYO0RdA73zOvXQCILj8dgy4osGM12XLg5+fuq\nrWcUDANkpwQnaNFbDbA6bEiQxI/9N2VaFhp3k3Ym9I4jRiRI4lGuLka9ptnjlCkn68QH9cch4Amw\n08cMRyAerdwHIU+AN2oO4KcnX8R3j/4MN/vrsTy9Ej/d+Sz+YcNTyIhP8+uaarkKfIYXvZkWK5dp\n8Ry0AJiWbeH+rpP9WCzpyea8dciMS0NNXy0AoDKV+lnI/MmMT4NMKEX9IC2ZDCc1fbdhc9imlYZx\n1vpQIna97zbah7uwPnsFkuWun01igQifX/EoHKwTv69+nZb6kUlmmiLGsixae0aQppRDIp7bsCAO\nd6MvL9H1epRpmc5qt864uy0Yagea8MUD3/L4eQpaYgi3aNLTL5PrvbfRPdqHDTkrkShNmLdzJMuV\nuLt4CwaNWlR316AsuRD/uu0f8cydX0F+UmDjc/k8PlIV6igOWrhMy/TyMGA8KJkakGpMrjT3XDMt\ngOvP+PEl97n/m5ZKkvnEY3goUeWjVz+AEfNoqI9DxkwddTzVivTF4PP4Xkcfv1/3CQBgX+mOSR9f\nlbkEqzKW4NZAA062XQjSiUk0yE2LR0FmAqpr+zCsd/U9DektGDVag1YaBoz3s+RS0DIju8OObx/5\nCb76/j+jSdsW1GuzLItXrr7lNSCioCWGrM1aBgYMznooEePGHO8u3jbvZ3mofDf2le7AM3d+Bf+6\n7RtYFIQpZelxKdBbDRi16INwwvAyW6Yl2cMEsWCVh3FWZy7F4tRSZCdkIGOsj4iQ+VLi3tdC2ZZw\n4GSduNxdg3ixAkXKvBkfIxNJsTilFC1DHeifYTdY+1AXrvXeRrm6GAXK3Gmf//yKRyDiC/HK1b/Q\nG0YyydaVWXA4WZy62gUAaOsJfhM+9zs0NyETAGCg8rBJjrecRedIDzQmHf7l2M9xKog3F853XkGD\nttV9g30mFLTEkERpAhapi1A32AStcWjS5zqHe3Ct9xYWqYtRoMyZ97PIRFLsX/YglqdXBm1CWTQ3\n4/tcHjZlOpy7EV/q/1LQmTAMg2fv/Bp+tvM7QZ0sR8hMuGb8OioRCwvN2nYMmUewIn2x1/1Ma7KW\nA5h50eT7dUcBAHunZFk4arkKD1XswbBlFG/U+L6MmES/O5dngccAx8dKxNq4ccfzMDksVZEMmVDq\ntb8i1lgdNrx960OI+EL87ZrPQsDj49fnXsIfr70z59H0docdr11/F3yGN6miYyoKWmIMN0VsaonY\nBw3HAQB7SuY/yzJforkZ310eJp65PGw8aJne05IgjoMwiEMV+Dw+LZQkC6JIlQeGYVDv40JaMr/c\no44zZ+5n4azOXAIGDC5M+T2jMw3jZPsFZMSlYkWG53H2e0u2IzM+DUcaT6JR0zrnc5PooIyXYGmx\nGnXtOnQP6N2ZlpxglocZxkuqFSIZNeJPcKz5NDQmHe4u2owt+evxox3fQnpcCg7UfoyfnnpxTlmp\nT5pPoVc/gLuK7nSvsJgJvfOIMWuzloPB5EWTeosBn7aeg1qu8linHAm4TEtUBi2WWcrDpNPLw1iW\nhcY0FLTSMEIWmkwoRU58Bhq1rbDPU+Mn8V1193UIeAIsTV3k9XEJkniUqYtQN9iMIdOw++MfNhyH\nw+nA3tLtXicPCvgCPLXycbBg8fvq12nBKHHbuorb2dKJ9t5RCPgMMtWKoF1fY9SBx/CQJEmAQiSn\nEsUxVrsV79w6DLFAjPvKdgJwDUv50Y5vYVlaOa703MSzn/wU3V6mBnpitJnw55uHIBVI8FD5bq+P\npaAlxiRJE1CmLkTtQBN0Y79MPmk+BavDhl3FWyP6DnpGLJSHCWfOtIgEIsSJFZOCllGLHjaHjYIW\nEtFKkgtgc9jQqpu+WI4snEGjFq1DnahIKYFEKJn18WuzloEFi4tdrp0uZrsFR5pOIl6swJ25a2d9\nfkVKCTblrkGzrh1Hmk7O+fwkOqyrTIdYxEfV5Q60940gKyUOAn7w3rcMGnVQSRPB4/GgEMlhcVhh\nddiCdv1I9XHTSejMw9hVvAXxkvHMllwkw7c3fQX3lt2FntF+PPPJT3G5+4Zf1z5Q+zFGLXrct2jn\npGvPJHLfoZKArctaARauzfN2pwMfNZyARCDGtvwNoT7anCRK4iERiKM2aJEIxBDwPY91TJYmQWPU\nuUeFBrsJn5BQKE0uBEDN+KF2mSsN8zDqeKo1ma7Rxxe6XCViVS1nYbAasbNoM0QCkU/X2L/sQciE\nUrxR8x7sDnsApybRRioWYP3idPRqjDBZHMhJC15pmMPpgNY8Xp3ATeuM9WZ8s92C925/BKlAMm3i\nHwDweDz81dIH8LW1n4fd6cBPT76IA7VHfBpbrjUO4f26o0iSJmBPyfZZH09BSwxaO9Ykea7jMi50\nXoHGpMOW/PWQiaQhPtncMAyD9LgU9Oj74WSjq5xAbzV6LA3jqGRJsDis7qyMxsQ14VPQQiJXiSof\nAGhfS4hV+xm0JMuVKEzKxY2+OoxY9DhUdxRCngB3F93p82smSuKxMXc1DDYTWoc6Z38CiQlbV4yv\nRghmE77ONAyWZd0rBLjfubFeIvZRwwkMW0axp3Qb4sSeS/E25a3Bc9u+gURpPP547W28dPnNWUs7\n37xxEFaHDY9W3guxDzczKGiJQUpZIkqTC3F7oBFv3fwADBjsGttKHOnS41Jhc9imTUeLdHqrweOO\nFs7UXS0ayrSQKJCqUCNerEAdZVpCxmy34EZfHXITMqGWq3x+3pqsZXCwTvz24qvoMwzizrx17k3j\nvhqfINfk1/NI9FpanIykODEAIC89+JPDuIWn3OCbWA5aTDYzDtR+DLlQ6lMmpFCZix/t+BayEzJw\nuLEKz5/5Hax264yPbR/qwvHWs8iOT8eWvHU+nYeClhi1PttVItY50oMVGZVepzVEkmicIGZ32GG2\nW3zKtADjZWHc/yZT0EIiGMMwKEkuhMaom7aHiCyM6723YXPaZ50aNtXaLK5EzDX6eG/p7G96phrf\n1UMT5IgLn8/D7jvyIRXzUZwTnHH+wHjQwlUnjGdaYrc87MOG4xi1GrC3dAfks9w45ahkSXhu2zdQ\nkVKCC11X8VzVrzAyw/68V6+/C5Zl8eTSB3zup6agJUZxJWJAZI85nipdEX3N+Hrb2LhjH4OW8UyL\ndtLHCYlU7hIxyraExHhpmH/TJTPi05AVnw4AWJGxGJnxaX6/dqo8GQniOCoPJJM8uqMErz63C0lx\nsw+F8JX7Rp98SnlYjO5qMViNOFh7BAqRHLtK/KvGkYtkePbOr2JjzmrUa5rxz0d/hj79gPvzN/pq\ncaXnBipSSrA8vcLn61LQEqNUsiRsyFmFpWmLUJFSGurjBA2XMeqJokzL+GLJ2crDJi+Y1Bh1YMAg\nKUiLJQkJldJkWjIZKk7Wics9N5AgiUfhDBvsZ7MxdzUYMLiv7K6AXp9hGBQnF0Bj0k1bnktiF8Mw\nEAr4Qb2muzxsSiN+rGZaDtUfg8Fmwr1ld0Em9L/nWcgX4qvr/hr3L7obPaP9+O4nP0OTtg1O1ok/\nXnsHALB/6QN+Lar2PIqIRL2vr/9CqI8QdO6gRd+PxfLCEJ8mOPQWbrGk90zLTD0tidJ4CHjB/cFO\nyEIrTMqFkCfA+Y4reKxyn08jd4nvHE4HtKYhDBi0GDRqMWDQYMCoxaDB9f+HzSPYmr/B624VT+4r\n24lNuWv86oWZqlRVgEtd11A/2ILkHGXA1yHEm6kTN2O5EV9vMeBQ/VHEixW4p2hzwNfhMTw8seR+\nKKWJeOnym/j+seexOX8dmnXt2JizGgV+3gihoIVEFblIhgRxHLpH+wHv7/Ejhq+ZliRpAhiGgcak\ng9PphNY0hIKknIU4IiHzSiQQYV/ZXXj71od448ZB/PXyh0N9pKgxaNDimx//yOMbsziRHIXKXNwd\n4BsXPo8/p4AFAEqSx8sDN+SsnNO1CPFEY9RBIhBDPrYPLZaDloN1n8BkM+PhZQ8G5SbRPcVboJQm\n4lfn/gcfN34KAU+Axxbf6/d1KGghUSc9LgV1mmbY2ejYoD0etHiPwvg8PpIkCRg06jBkGYGDdUIl\no7uSJDo8UL4LZ9ur8WHDcWzKXRNQqRKZ7sOG49BbDVieXoHcxCyoZSqo5Uoky5RIliWFRVarMCkX\nfIaHBioPJPNo0KhFskzpLleK1fKwEYseHzQcR6IkHncV+j6ifDZrspbhe1u+jhfO/y+2F9yBFEWy\n39egnhYSdTLiUsGyLIZsI6E+SlBwPzBnC1oAV1pba9Rh0EBN+CS6iPhCfHHVE2BZFv918Y9wOKPj\npkQome0WHGs+jQRJPJ6+40t4Ysn9uKtoE5alVyArIT0sAhbAlWnLS8pG81AHbScn88JsM8NgNU76\nnSkXxebI4wO1H8Nit+Azi+7xaXeKP0qSC/DCnudw/6K7A3o+BS0k6qTHuSaI6azRErT4Vh4GuPpa\nHKwTzbp2ABS0kOhSmVqKLfnr0TrUiUP1x0J9nIj3aet5GGwm7CzcBCFfGOrjeFWqKoDD6UCztj3U\nRyFRaNDErQgYr04Q8oUQC8QxFbToLQZ81PgplNJEbC/cGOrjTENBC4k6XDO+1jYc4pMEh6/lYcB4\nkMItYqMdLSTa7F/6AOLFCrx54yD69YOhPk7IOZ1O/KDql/i4/7Rfz2NZFh82HGFxcSEAACAASURB\nVAefx8ddhZvm6XTBM76vhZZMkuAbNMy810whksVUedjhxhOw2C3YW7odojC8kUFBC4k6GWOZlugJ\nWnwvD+N+4HI7DSjTQqJNnFiBzy17GFaHDb+vfh0sy4b6SCF1uecGavrqcGXkNmoHfH9DX9NXi66R\nXtyRvQqJ0oR5PGFwlKjGgpZBWjJJgs/TXjOFSB4zmRaL3YoPG45DLpJhe0H4ZVkAClpIFEpVJIMB\nA501OoIWgx/lYdwP3AFaLEmi2Mbc1ViatghXe2/hdPulUB8npA43VLn//ytX3/I5iPtgrLzO36Vx\noaKSJUEpTUSdpjnmA1USfO7FklOG1yhEMphsZthjoIfueMsZjFr0uLtoM6Rh0s82FQUtJOoI+UKo\n5croybRYjBDyhRD50BA38Qcun+EhURw/n0cjJCQYhsFTKx+HiC/E/155M2Y3VneN9OJ6320sUhej\nVJGPBm0rznZcnvV5PaP9uNxzA6WqgoiZwsYwDEpUBRg2j2DAoAn1cUiUcS+WlE8NWlwVDsYoLxGz\nOx04WHsEIr4Qu4vD90YGBS0kKqXHpcLgMGHEog/1UeZMbzX4lGUBJmdWlNJE8Hj0T5xEp1SFGo9U\n7sWIRY9Xrr0d6uOEBJdl2VW8BZtVq8Hn8fHa9Xdgm2XClvt5EZJl4XB9LXU0+pgEGbeUWSVNnPTx\nWNnVcra9GgNGLbbl34F4SVyoj+MRvaMhUWmRuggA8Iszv4PVbg3xaebGFbT4tikzXqyAgOdav0Sl\nYSTa7S7ZjtzELBxvOYOb/fWhPs6CMlpNqGo9B5U0CaszlyJJGI97irag36DBR40nPD/PZkJVy1ko\npYlYk7V8AU88dyWq8SWTZHYnWy9MKh8kng0atUiQxE+bohcLu1pYlsV7tR+Dx/Cwt2xHqI/jFQUt\nJCrdV7YTJfI83Oyvxy/O/j5i61GdTicMNpPPQQuP4bnvFFHQQqKdgMfHl1Y9CQYMfnvp1Yjd4fHm\njYN47vgv/brBUtV6Fha7BXcVbQKfxwcAPFi+C3KhFH+5+YHHkrmqlrMw2c3YWXQnBGPPixT5SdkQ\n8gTuQSPEM5Zl8b9X3sT/XvkzzDZzqI8T1liWhcaom3HaZixkWq703ET7cBc25KxCilwV6uN4RUEL\niUp8Hh/70rZiSeoiVHfX4D8vvAwn6wz1sfxmsHGTw3wrDwPGa3JVUxoKCYlGRao87Cregp7Rfrx9\n68NQHycgVS3ncKO/Dm/f9u38TtaJww1VEPIE2DFhyo9CLMeDFbthsJnwlxn+LDw9L1II+UIUJOWg\nbbiL3ojPokffj1GrAU7WiXoNTVzzZsQyCpvTPuONvljItLxX+xEA4P6ynSE+yewoaCFRS8Dw8fTG\nL6FEVYCTbRfw0uU3I27qjD/jjjkqqesHL+1oIbHi0cX3QiVLwnu1H6NjuDvUx/GL3mJwNwG/d/tj\ntA91zfqca7230KsfwIacVdPqz+8u2owUuQqHG6vQqx+Y9LmrPTfRqx/Axtw1YV237k1JcgGcrBON\n2rZQHyWsTcxG3R5oDOFJwp+nyWGA60YAEL2ZlrrBJtweaMTy9ErkJGaG+jizoqCFRDWJQIxv3/m3\nyE3IxEeNJ/CnGwdCfSS/6P0Yd8xJllPQQmKLVCjBUysfh8PpwG8u/hFOZ+RkVVuHOgAAhcpcOFgn\nfnvptVmzwhMb8KcS8oV4Ysln4HA68Nr1dyd97sOG42PPi6wG/InGl0xSiZg3E7MrtYMUtHjjnhw2\nU9AS5eVh793+GABw/6Lwz7IAFLSQGKAQyfGdzV9DmkKNt28dxsHaT0J9JJ+NBy2+Z1p2FG7C/Yvu\nxtK08vk6FiFhZ2XGYmzIXokGTQs+bvo01MfxWetQJwBgX+kOrMtegXpNMz5pOunx8T2j/bjScxMl\nqgIUeBhXvD57BYqVeTjXcdl9x71zpAfXem+jXF2MvKSs4H8hC8S9ZJJKnrxqGGyGiC9EZnwa6jUt\nsDvsoT5S2NK4My1eysMs0Vce1jHcjUvd11GiKkBZclGoj+MTClpITEiUJuC7W/4eSmkiXrn2Fxxr\nPh3qI/mE+0HpT9CSLFPiiSX3T5uCQki0++sVj0AukuG16++6756Gu1adK2jJS8rG55c/AplQilev\nvwutaWjGx380lmW5Z4YsC4dhGOxf9hAA4OWrfwHLsjhc73pepI05nipJmgC1XIWGQVoy6YnJZkb7\nSDcKlbmoSCmBzWFDs6491McKW4OG2TMto9bIX58w1YHaIwBcWRaGYUJ8Gt9Q0EJiRopche9u+TvE\niRX4r0uv4mxHdaiPNCt3pkXse3kYIbEqURKP/UsfhNluwX9XvxERb2pbhjogFoiRJlcjSZqAJ5d8\nBiabGS9dfnPaY802M463nkWSJAHrZhlXXKYuxNqs5ajXNONY82mcaD0HtUyJVRlL5utLWTAlqnyM\nWg3o0feH+ihhqVHbCpZlUaIqcI//p74Wzwa9Zlq48rDoyrQMGrQ41XYBWfHpWJGxONTH8RkFLSSm\nZMWn4zt3fhUSvhgvnn857EekBlIeRkgs25q/HhUpJajursG5ztm3w4eS1WFD10gvchMy3Ytgtxfe\ngdLkQpzvvIJLXdcmPf5E63mYbGbcVbQJAr5g1us/ueR+8Bkeflv9GiwOK+4u3uwejxzJSpMLAYBG\nH3vALd8sSS7AouRiAMBt6mvxSGPUgs/jzzicQsQXQsgTRF1Py/t1n8DBOnFv2V3gMZETCkTOSQkJ\nkgJlLtZnr4DFYcWgQRPq43gVyPQwQmIZwzD4P6uehJAvxP9cfjOs32x0DnfDyTon9ZjwGB6+tOpJ\n8Hl8/Hf1n2AaG+3LsiwON1aBz+P7PK44LS4FdxdtBsuyEPNF2FZwx7x8HQvNvWSSgpYZNYwNKShR\n5UMpS0SqPBl1A40ROfZ/IQwadUiWJs345p1hGChE8qjKtIxa9DjafBoqWRI25qwO9XH8QkELiUnq\nsQVK/WEftPg/PYyQWJcel4KHK/Zg2DyCP159O9TH8ahF55oclpeYPenjWQnpuL/sbmhMOrxR45p4\nWNNXi66RXqzPXolEaYLPr/FgxW6kKtTYXbItam5+5CRmQcwXoS7MJ4g5nA5c6rq2oNPsuL0sqfJk\nJEjiAQBl6iIYbKaIGwe+EOwOO4bMI16XMStEsrC++eGvDxuqYHFYsa90h08Z23BCQQuJSSnyZABA\nv2EwxCfxjjIthARmb+kO5CZm4VjLGdzsrw/1cWbETQ7LS5w+zesz5fcgPS4Fhxuq0Khp9Trm2Js4\nsQIv7HkOjy+5b67HDRsCHh+Fylx0DvfAaDWF+jgenWg9j38/9Rucar+4YK/ZM9oPg9WI4rHR0ACo\nr8ULrWkILNgZm/A5CrEcRqspokapezJi0eNQ3VHEiRURmXmloIXEpPFMS3hPGNJbDeAzPEgE4lAf\nhZCIIuDx8aVVT4JhGPz24quw2q0BX6tV14EfVP0KfVOWNc5V61AneAwPOQkZ0z4n4gvxf1Y9CRYs\nXjj3Eqq7a1CozEXxWGlUrCtJLgALFg3a8B193KxzLcCsG2xasNfkSuZKJnyflI0FLbUUtEzj3tEi\n95xpkYvkYMHCaAvfANlXb9/6ECa7GQ+V747I9xUUtJCYlKLggpZwz7QYoBDJI2YcISHhpEiVh13F\nW9Gj78dfbn0Y8HVevf4uavpq8dr194J2NifrRNtQJzLjUiESiGZ8TEVKCbbmb0CPvh8s2IheChls\n7n0tYdzX0jHcAwBo0rYt2Gty+2u4Px8ASFekIEEch9uDjRExUW8hcZPDVFIvmRZuV0uEl4j16wfx\nUeMJpMhVuKtwU6iPExAKWkhMSpTEQ8gTYCDse1qMVBpGyBw8VrkPapkSB2o/RttYOZY/WnWduNZ7\nCwBwtqPavVdlrvr0gzDbLchNyvb6uP1LH0CCOA5JkgSsz14RlNeOBu5m/DDta2FZ1t1D0jbcBdsC\nTaqsH2yCmC9CbmKm+2MMw2CRuhg603DY36hbaL5kWqJl7PGfbhyEw+nAY4vvi7heFg4FLSQm8Rge\nkuXKsG7Ed7LOsUwLNeETEiiJUIKnVj0OB+vEy1ff8vv5B+tcC9i4LMebN98Pyrlah1xN+PmJ3oMW\nhViOH+/8Nn64459oYewE8ZI4pCtSUK9pCcupWEPmEfedeYfTgfYFaII3Wk3oHOlFkSpv2mjrMrVr\nTDT1tUw2vqMlujMtrboOnGq7iPzEbGzIWRnq4wSMghYSs1LkyRi16GEeGykabsw2C1iWhVxMmRZC\n5mJ5eiWWppWjpq8O13tv+/y8QYMWp9svITs+HZ9b/hBKkwtxqesaGjWtcz4Tl7GZOO7Yk2SZ0t2H\nR8YVJ+fDZDOjc6wMK5y0D3cBANRjb4abtK3z/poN2hawYGfse1qkHtvXQkHLJBquPMzr9DAu0xK5\nQctr198FCxZPLv1MRO1lmSpyT07IHIX72GMad0xI8Dy+2DU96/Xr7/lc13+o/hicrBP7xhawPbb4\nXgDAmzcOzvk8XKZlpslhxDelqrElk5rwa8bnSsM2568DADRp2+f9Nceb8AumfS43IRNSoYSa8acY\nNGohE0ohE0o9PibSy8Nu9NXiau8tLE4tw5K0RaE+zpxQ0EJiVkrEBC2UaSFkrgqUOVifvRJNujac\n77wy6+P1VgM+aT4FpTTRvYCtIqUElSmluNp7C7UDc5sI1arrhEqWhDixYk7XiWUlyeHb18KVg63L\nWgExX7QgzfjjTfjTMy08Hg+lqgL06PsxZBqe97NEikGj1mtpGBDZ5WFO1olXr70LAHhyyf0hPs3c\nUdBCYha3qyVcm/FpRwshwfXo4n3gMTz8qcbVkOrNkcaTsNgt2F2ybVLT6qOL9wEA/nTjQMDnGDKP\nQGcepizLHGXHZ0AqkCzoSGFfdQx3Q8ATIDM+DXlJ2egY6YZlDmO3Z+NknWjQtCBNoUa8JG7Gx7hH\nHwfpz+tU2wWM2PRBuVYoGK0mmGxmr6VhwIRMiyXygpZzHVfQpGvDhpxVKFDmhvo4c0ZBC4lZkZNp\nofIwQoIhIy4V2/I3oGu0Fydaz3t8nNVhwwcNxyEVSrCjcOOkz5UmF2J5egVu9tfjRl9tQOdw97PM\n0oRPvOPxeChNLkDPaD+0xqFQH8fNyTrROdyDzPg08McWYbIsixZdx7y9ZvdIH4w204ylYZzyIPa1\nNGvb8etzL+GjgdNzvlaouCeHzRa0iCOzPMzudOD1mvfAn1DaGukoaCExazxoCc8RkFQeRkjwPVSx\nB0K+EH++8T6sHsbQnmw9j2HzCO4qvHPGWvdHK8eyLTUHA9p74Z4cNsu4YzK7ytQyAMCN/roQn2Tc\ngEEDi8OK7LGloYVJrjvc3LLJ+cBlm0qSPQcthcpcCHmCoPS1cK/XYuyE1hQ+AaM/fJkcBkRuedjR\nplPo0w/grsI7kaZQh/o4QUFBC4lZcWIFxHwRlYcREkOUskTsKt4CjUmHjxtPTPu8k3XiYN0n4PP4\n2F0y8zLHAmUuVmcuRZ2mGVd7b/p9htYhLtNC5WFztWQsaKkJMOs1H7gm/BwuaFHmAJjfJZMzLZWc\nSsgXokiVh9ahThitc9vu3jD2eixYfOolaxnOfJkcBgBSgQQ8hhdRmRazzYy3bh6CRCDGgxW7Qn2c\noKGghcQshmGQIleFb3mYhcrDCJkP95fdDZlQinduHYbRNvnNW3V3DbpH+7Apdw2U0kSP13i0ch8Y\nMAFlW1p1HZAJpTTGOAhyEjMRJ1bgRl9d2Gx7b58StKTFpUAqlMxz0NIMiUDsfk1PypKLwIJFnWZu\nfS0NmhZIhRLwGT5OtJwLmz97f4yXh3nPtDAMA4VIFlGZlvfrj2LYMop9pTuQIIkP9XGChoIWEtPU\nimQYbSYYwvAOijvTQntaCAkqhViOe8vuwqjVgPfrPpn0uQO3PwYA3Ft6l9dr5CRmYn32CjTr2nGx\n65rPr222W9Az2o+8xCwwDOP/4ckkPIaHipQSaEw69Iz2hfo4AMaDFq48jMfwUJCUg+7RvmlBcjDo\nrQZ0jfSiSJkHHs/727pFY834c+lrGTaPoM8wiLLkQhTLc9E12uvOvEQSd9Ai9x60AK6Kh0gJWobN\nIzhQewQJ4jjsLd0R6uMEFQUtJKalyMK3GZ8a8QmZP7uLtyJBEo+DdUcxbB4BANQONKFO04wVGYuR\nlZA+6zUertwLhmHw5o33fd7K3j7UBRYslYYF0XiJWHj0tXQMd0MiEE+6g1+ozAPgamAPNm7ZKTcC\n2puS5AIwDDOnvhYuQClWFWBxXAkAoKrlbMDXCxWNUQcGjNeMKscVtBgjIqN0sO4ozHYLHqzYDalQ\nEurjBNWsQYvZbMbXv/517N+/H48++iiqqqrwzDPPYN++ffjsZz+Lz372szhxYnpdMCGRIEURvs34\neqsBDBivS68IIYGRCCV4sHwXLHYL3rl1GABwoO4IAOC+Mu9ZFk5mfBo25a5B+3AXznVc9uk57qWS\n1IQfNFwzfk1/6Pta7A47ukd6kZ2QMSmTxvW1zEczPrenxls/C0cmlCIvMQuN2jaPgyhmf73xfTB5\nsgwopYk43XFpXkc6z4dBoxaJ0ngIePxZH6sQy+FknTDZzQtwssA5nU6cbDsPuVCK7QV3hPo4QTdr\n0HLs2DEsXrwYr7zyCn7xi1/gxz/+MQDg6aefxssvv4yXX34ZmzdvnveDEjIfwnlXi95qhFwkA4+h\nhCgh82FHwUakyFX4uOkkrvbcQnXXdRQr81CWXOTzNR6q2AM+w8ObN96fdfcLQOOO50OqPBlqmRI3\n++rgdPqW8ZovPfp+OFinuzSMw00Qa5yHvpb6QS7zMXumBQAWJRfB7rSjSdsa0Os1aFrAgHGVozE8\n3Jm3FiabGRc6rwZ0vVBwsk5oTEOz9rNwxieIhV8p+US3BxuhMw1jbfYKCPnCUB8n6GZ9N7R79258\n4QtfAAB0d3cjPd2VMo+EFBkhs+EaYfv14Ri0GKg0jJB5JOAL8EjlPtiddvzs9G/AgsW9i3b61WuS\nplBjS/4GdI/24WTbhVkf3zrUCT6Pj6z4tLkcnUzAMAwWp5bBYDOhZSi4u1D8fa8zdXIYRy1XIU4k\nR3OQgxan07VUMiMuFXFihU/PKZtDX4vD6UCjtg1Z8WmQiVxVAFvy1wMAqlrP+H29UBk2j8LhdMw6\nOYwTKQsmT7VdBABsyl0T4pPMD59v4T722GP45je/iWeffRYA8Oqrr+Jzn/scvvGNb2BoKDJndBPi\n3tViDK+ghWVZ6K1GGndMyDzbmLMaOQmZsDlsSFOosTpjqd/XeLB8FwQ8Ad66eQh2L9kWh9OBtuEu\nZMenQ8AXzOXYZIrKeRh93DPaj6fe+yY+qD/m83Pah7sAYFqmhWEYFChz0W/QYNQSvC3ynSM9MNnN\nPpWGceYStHQMd8Nit0zK6mTEpaI0uRA3+urDsmphJr5ODuO4g5Ywbsa3OWw411ENpTQRi/zIFkcS\nn4OWN954Ay+++CKefvpp3HffffjGN76BP/zhDygtLcULL7wwn2ckZN7IRTLIhFIM6MOrp8XisMLu\ntFOmhZB5xuPxsH/ZA+AxPDxUsWfW6UszSZYrsaNwI/oNGlS1eL7b3DPaD5vDRv0s86AytRRAcIOW\nV67+BaMWvV9N5u3DPQCmZ1oA13JHAGgKYjO+u5/FhyZ8TqIkHulxKagfbPa7nK5eM3Mp2tb89WDB\n4kSE7GwZD1p8zbSEf3nY1d5bMNhM2JCzKqCfY5Fg1ls9N27cgEqlQnp6OsrKyuBwOFBSUgKl0hWd\nbt++Hd///vdnfaHq6uo5H5YQf/nyfadgZOgdHcClS5fCZgTpiM11J86qt9C/nQhEf2eR5+/z90Ok\nEaBaE9jfXaE9AwKGj9evvoc4rQgC3vRfr7dGXXe2+aPsvHyPxPr3nVqUhNv9DTh/8fyMf/7+aDV2\n4VL3ddf/H+pE1flPESeYPfPd2N8CGV+CxpsN0z+ptwMATt44A0d3cEYfn+lzlQPZ+8yoHvL971/N\nJKLH3o8Pzx5BmiTZ5+ed67sEALBNeL3q6mpInDwIGQE+rq1CniklbH6XenJVVwMAGO7RoXp09j+3\ngdF+AMCtxtsQD8zr0QJ2sPcoAEBlUETtz4JZ/1VfunQJ3d3dePbZZzE4OAij0Yjvfe97+OpXv4rS\n0lJcvHgRJSUls77QypUrg3JgQnxVXV3t0/fdcdMl9HdpUFJZinhJ3AKcbHatuk6gDchJy6Z/OxHG\n1+87En3axf04WPcJtAlG7CrZOu3zt662An3ApsUbUJ5SHNTXpu87oIbXjA/qj0Gek+jOvATC4XTg\ntY8/AAMGm/LW4NPW83Cq+VhZ4P3P12y3YLjxv1GeUjzj30W+sRBvHzwCk9QetL+rVz44CKlAgp3r\ntvt1d320xYrrF+rBqIVYWeL7WV7+4ACkQgl2rt8GHsOb9H132VmHT1vPQ5YTj/KU2d8XhlLN5SZA\nA6xdvAoFYxkwb/g9UhzsOw5lmgory8Pv35nJZsbzLX9ARlwqdm/wry8vHHkKumb9Dn/88ceh0Wjw\n5JNP4stf/jK+973vYf/+/XjmmWewf/9+VFVV4Stf+UrQD0zIQnE344dRLa57R4uYysMIiRT3le2E\nRCDG27cPzzj+tXWImxxGO1rmw+KxvpYbcxx9fKz5DDqGu7Elfz0eKN8FALjcc2PW53WN9IIFO62f\nhaOUJSJJkhC0Zny9xYDu0T4UqWZfKjlVudoVNPvT1zJq0aNntN89NWyqLXmuhvzjEbCzZdCoA+BP\nT0t4l4dd7LoGm8OGjblrIj5g8WbWTItYLMbPf/7zaR9/++235+VAhCy0lAlBS5EqL7SHGTO+WJIa\n8QmJFPGSOOwu2Ya3b32IjxqrcG/ZTvfnWJZF61AnUuXJ7qlLJLjK1cXgMTzU9NbiscX3BXQNg9WI\nN24cgEQgxmOL70WiJB6pCjVqemthd9i9DlDwNDlsogJlDqq7a6AzDSNJmhDQGTlcf0lpsu9N+By1\nXAW1XIXrvbdhtVshEohmfU7j2IhkT03/5SnFUMtVONdxGX+z4tGwXmzYo++HkC/0eeKaQhzejfjc\n5MKNOatCfJL5FZ2dOoT4YTzTEj7N+NzdHApaCIks+0p3QC6U4r3bH8NoG+9b0JqGMGrRIzeJsizz\nRSqUoFiZh0ZdG4zWwHpG/nLrQ4xa9PjMonuQJE0AwzBYnlYBk92MurGmd0/ah2aeHDZRoTIPANAU\nhGxLvaYJgG9LJadiGAZ35KyCyW7Gpe4a315vln0wPIaHLXnrYHFYfV62Ggq9o/3oGO5GZUqJz1mJ\ncM60DJlHUNNXiyJlHtLiUkJ9nHlFQQuJeSnhXB5G08MIiShykQz7yu7CqNWAD+qPuz/OlYbl01LJ\neVWZWgaWZXFroN7v5/aM9uPDhuNQy1XYU7rd/fHlGRUAgCuzlIh1jLgyLd6DlhwAQLMuCEHLWBAR\naIUAt8vjlA/7hQDXUkkAKPbyepvdO1vmt0TMyTon3RTwx5kOV7/E+mzfe1NkQikYMDCEYablXMdl\nOFknNuauDvVR5h0FLSTmcUFLOM2Xp0wLIZFrV/FWxIkVOFh3xL2MrlXnWnpI447nF9fXcj2A0cev\nXHsbDqcD+5c+ANGEbeIV6hII+UJc6fYetLQPdyNZpoRM6Ln8rzCJG3s8t6DF4XSgQduKrPj0gH9P\nZCdkIC8xC1d6bmBklt0xTtaJBm0L0uNSvJZUpchVqEwpxe2BRvSOTdwKtvrBZnzrox/hSweeCeg1\nzrRXQ8ATYE3mMp+fw2N4kItkYblc8lTbRTAMgw1+BGGRioIWEvMkQgnixIowKw+jTAshkUoqlOC+\nsp0w2cw4WPcJAGrCXyglqnyI+SLc6Kvz63k1fbW41HUNi9RFWJu1fNLnRAIRKlNK0THSg0GDdsbn\n6y0G6EzDXrMsgKvvSS1ToknbBpZl/TrjRG1DXbDYLShNLgz4GgCwMXcNHKwT5zq8j8jtGumFyWb2\nWBo20ZZ5yrborQb89tJr+Oej/xdtw66v/2jzab+u0TnSg/bhLixLK/e7t0whkoVdeViffgD1mmYs\nTilD4hx7pCIBBS2EwHV3aMCghZP1b9HWfKFGfEIi291Fm5EoiccHDccxYh5Fq64DcWIFlNLEUB8t\nqgn4ApSpi9A50gOdadin5zicDvzvlT+DAYPPLXtoxj6H5elcidjNGa/hS2kYp0CZixGL3r3gMBDc\nUslAmvAn2pizGgwYnGy76PVxXGmYL/0za7OWQyqQ4ETLeb+XV86EZVmcbL2Af/jgX/FJ00lkxqfh\nu5v/DgqRHFWt52B3Ony+1pl2V3C2Icf/rIRCJIfeaphTsBlsp9tde3NioTQMoKCFEACuZny7044h\n80iojwLANcEGcNXHE0Iij1ggwgPlu2CxW/BazXvoMwwiLzErqseRhguuRKzGxxIxbsTx5vx1Hnd2\njActM5eI+TI5jFOonHuJWO2gqwl/rpkWpSwRlaklqBtsQp/e89bE+kFXkFTiQ6ZFLBBhfc5KaEw6\n1Mxx/HT3aB9+eOJXeOH8SzDZzXhiyf34953PYknaItyZuwbD5hFc9nGQAMuyONteDSFfiJUZS/w+\ni0Ikg81ph9Vh8/u584FlWZxsuwChn6VukYyCFkIApMhdG4H79eHR16K3GCAVSsDn8UN9FEJIgLYX\n3AGVLAnHxkpYqDRsYbj3tfhQIma0mtwjjh/3MiY5VaFGRlwqavpqYZvhTWv7kO+ZFi5oada1z/pY\nT+oHmxEvViBNoQ74GpxNuWsBuHojPGnQtEAsEPv09bmu6Wryn60PyBO704E3b7yPpw//EDV9dVie\nXonn7/kX3L/obvfY6W0FdwCAzyVi7cNd6BrtxYr0yoDGMXOVD+Ey9rhtqAtdI71YmbEkZsaoU9BC\nCMKvGV9vNVJpGCERTsgX4qHy3e7/zqcm/AWRm5iJOJEcNf21s5by/OXW3QFGDAAAGrNJREFUB5NG\nHHuzPL0SFod1xoWMHSPdYBgGmfFps56vIMk1QaxpbO+JvzRGHQaNWpQkFwYlc7cmaxmEfCFOtl2Y\n8c/LaDWhc6QXRcpcn2+kFSnzwDBMwIHZRw1VeOvmIcSJ5fjHDV/Etzf9LVIUyZMek5OYiWJlHq72\n3vSp1I4rDbsjwF0m4Ra0nGp3BZmxUhoGUNBCCICJY4/DoxlfbzVQEz4hUWBz/nqkjmVy82jc8YLg\nMTxUpJZCY9Sh10PJE8uyOFR3FIfqj0EtU04acewJVyJ2eUqJGMuyaB/uRroiZdLUMU/kIhnSFSlo\n0rYH1B9RN1aqVRrAfpaZyIRSrMpYgu7RPrTMEGQ0alvBgvWpCZ8jFoiQHZ+BFl1HQH0tN/tdI6v/\nbfs3sS57hcfgbFvBHWBZFlUt3pv+WZbFmY5qiAViLE+v9Ps8AKAQh8+uFifrxOn2i5AJpVg29n0Z\nCyhoIQThtavF6rDB4rBSpoWQKCDg8fH1DU/hs8se9OkuPAmOxSlcX8vtaZ+z2K144dxL+MPVtxAn\nVuDrG57yKdhYpC6CWCDG1SnN+DrzMAxWo8+lUwBQoMyB0WbyGFR5UxekfpaJuHKuT2fY2VKv8b5U\n0pMCZQ4sDiu6Rnv9eh7LsmjQtkIlTUKyXOn1sRtyVkEsEONY8xmvwVGLrh19+gGsylgMsUDk13k4\n4ZRpqR1ogsaow9qs5T5970YLCloIAZAcRuVhBtrRQkhUKVTmYm/pDmrCX0CLU0sBADVT+lr69AP4\n7tGf4VT7RRSr8vHTu57x+c24kC/E4pRSdI/2TQo2uCZ8f4KWQmUegMCa8esHmyHgCVAwtqgyGJal\nlSNOJMfp9ktwTJnG1RBg0BLoThqNSYdh8wgKVTMPRZhIKpTgjpxVGDRqvTb9c1O2NgRYGgZMCFrC\nYFcLVxq2KYZKwwAKWggBAIj4QiRJEsKiPIx2tBBCyNykKtRQy5S42V/vvgN/tecWvn3kJ2gb6sRd\nhZvw/a3/AKXMvxHUXGnRxGyLP5PDOIVKrq/Fvzf0ZrsFLUMdKEjKCeoddgFfgPU5KzFsHpkU6LEs\niwZNC1LkKiRK4v26pnvggNa/vpZGTSsAV1+ML7bP0pDPsizOdlyGVCjBsrRyv84yEfc7eTTEmRa7\nw45zHZeRJElAubokpGdZaBS0EDImRa6CxqibdpdpIbEsi0td1wFQpoUQQgLFMAwqU8ugtxrQMtSB\nd24dxo8//X+w2K348ur9+OKqJyAM4E3/TKOP/ZkcxslPzB5rVPcvaGnStsHJOlEyx/0sM+FKxE5N\nKBHr0fdDbzX4nWUBXI3yfIaHJj+/xsaxQK7Iw/jpqYqUechOyMDFrmsYMY9O+3yDpgWDRi1WZy4N\n6O+cM14eNveeFrvDHvBzL3Rdg95qwIacVeDxYuttfGx9tYR4oZar4GCd0JqGQvL6OtMwfnLyRbxe\n8x7kQinWZ/u//IoQQogLVyL2s1O/wes170EpTcRz276BbQUbAr5mslyJ7Ph03Oivh9VuBeDKtAh5\nAr/GD0uEEmTFpaHZz0Z1rp+lLIj9LJwSVQFS5Cqc77oKs90CYOJ+Fv+DJBFfiJyETLQOdfq1ALJJ\n2woGDAqSfAtaGIbB9oI74HA6cKL1/LTPn+FKw7IDLw0DxjMtc+1padS04vPvPo3fXnzV7yEFDZoW\n/ObiKxDwBNiav35O54hEFLQQMiZFEbpm/HMdl/H04R/gSs8NLE1bhJ/f8y/IS6KdDoQQEqjKsX0t\nWtMQKlJK8JOd30aRKm/O112eUQmbw4abA/Vwsk50jHQjMz7N771aBcpcWOwWdI70+PwcbnLYfGRa\nGIbBpty1sNgtuNR1DUDg/SycAmUubA4bOod9+xqdTieate3IiE/1a/fIptw1EPAEONZ8etJENifr\nxNnOy5CLZFgy9v0QqGA14r96/R1Y7BZ80nwKL1542efqjlZdJ3504gVYHTZ8ff0XkJOYOadzRCIK\nWggZwy2YXMhmfIPViBfOvYTnz/wOFocVf7PiUTx759f8rrMmhBAyWaIkHo9U7sMjlfvw3c1/hwQ/\nezI84fparnTfRL9BA6vD5ldpGKcixdWPcL7zik+Pd7JO1A82IVWh9ru/xFdcY/fJsRKxBk0LhHxh\nwItRud4dX8vgukf7YLKbfe5n4cSJFVibtQxdo73uwA5wTdnSmYaxNnOZeylloORjmRbDHMrDavpq\ncbO/HhUpJShRFeDTtvP49bmXZs1EdY304ocnfgWjzYyvrPkc1mQtC/gMkYyCFkLGqBd4V0tNXy2e\nPvxDnGy7gEJlLv5957O4p3gLTRgihJAgeahiNx6q2O13FsSb0uRCSAUSXOm5gfahLgD+9bNw1mUt\nh1ggxonWc3Cys5cJdY/0wWAzBW0/y0wy4tNQmJSLa7230acfQNtwFwqScgJ+w8+VeDX6OHCgcWzh\npr9BCzDekH9sQkP+mY65Tw3j8Hl8SIWSgKeHsSyL16+/BwDYv/QBfGfz17BIXYyzHdV4/szvYHPY\nZnxev34QP6j6FUYsenxx1ePYlLcm4K8h0lHQQsiYhdrVMmjU4n+q/4QfVP0KOvMwHq7Ygx9s/ydk\n0A4HQggJewIeH0vSFqHPMIgLnVcB+Dc5jCMRSrAuazn6DRrUDjTO+vjaedjPMpNNeWvgZJ145drb\nYFn/lkpOlZOQAQFPgGZfgxZuclgAZXzlKSVIlSfjTMclGK0mOJwOnO+4gnixwp3VmiuFSB5wI351\n93U0aluxNms5CpS5kAoleObOr2BxaikudV3D/z39X+4+KY7WOITnqn4JrWkI+5c+iB2Fm4LxZUQs\nCloIGaOSKcEwzLyUhzmdTlzursFPT76Ir7z/XRxurEJGXCp+uP2f8HDlXgiCeBeQEELI/OKmiJ0e\n25cRSKYFALaMNVNXtZyb9bFcU3zpPPSzTLQhZxV4DM8dkJXMIWgR8AXITcxE23CXx0zCRI3aVgh4\nAuQm+N+vwWN42FqwAVaHDafaL+LWQAOGLaNYl7UiaJk2hUgWUE+Lk3XijZqDYMDg0cp97o9LBGJ8\na+PfYnl6Ba703MRPT/2newjCiHkUP6j6FfoNGjxUsQf7ynYE5WuIZBS0EDJGwONDJU1Cvz54QYvW\nNIS3bn6Arx76Z/zk5Iuo7q5BQVIOvrz6r/DvO58NSlMoIYSQhbVsLGhxsE5IBRIky7xvbvdkkboI\narkKZzsvw2wze31s3WATpEIJshLSA3otXyVK4ic1rQcyOWyiwqRcOJwOtI/ts/HE6rChbagT+YlZ\nAZejbclfDx7Dw7Hm0zjTXg0A2JATvEmcCpEcFocVVh8CsInOtFejfbgLm/LWTPv7EwlEePqOL2FV\n5lLU9NXix5/+BwaNWvzwxK/RNdqLvaU78HDFnqB9DZFsbl1JhESZFLkKtwcaYXfY59S0Vz/YjAO1\nR3Cp+zqcrBMSgRg7CjfhrsJNyE/KDuKJCSGELDSlNBF5iVloHepEdkJGwL2IPIaHzXnr8NbNQzjX\necWdeZlqxDyKHn0/lqaVg8fM//3mTblrcbX3FlTSpDkPhilQ5gJNrh0zhV52r7TqOuBgnSicw808\npTQRK9Ircan7OjpGepAkSUBZclHA15uKmyBmsBohkib49ByH04E/33gffIbnMfgQ8oX4xw1fxK/P\n/Q/OdVzG3x36HuxOO3YUbsL+pQ9Qr+sYyrQQMoFargILFoNGbcDXGDKP4F+P/wIXuq4iNyETX1z5\nBP7r3p/g/6x6ggIWQgiJEtwUsUBLwzib89YCAE60ei4Rq9NwpWHz28/CWZ21FMkyJVZnLZ3ztdwT\nxGbpa5lLE/5E28Ya8m0OG9ZlrwjqAsZAdrWcaD2HHn0/thdsRKqXXT4CHh9/v+5vsDF3DexOOzbm\nrsFTKx+jgGUCyrQQMsHEZvy0uJSArnGx8xpsTjserdyHB8p30Q8cQgiJQnfkrMIH9cewLL18TtdJ\nVahRri7Gzf569OsHkaJInvaYugXqZ+FIBGL8vz0/CMob/qz4dAj5QjTp2r0+jpswNtey6eXpFUiS\nJEBnHg5qaRjg/64Wm8OGP988BCFfiAcqds36eD6Pj6+u/RzuLd2BnITMBcmqRRL60yBkAnUQJohx\nM/fvzFtLAQshhESpnMRMvPzgL7E2a/mcr8WVhXnKttQNNoFhGBTPMQvhj2BlKPg8PvITs9Ex3D1t\nOtZETZpWyIVSpHnJRvj6ep9f8Qj2lGyf0+SzmYwHLb5NEDvSdBIaow53F22GUupbmR2P4SEvKTuo\nGaJoQX8ihEzALZgMdFeL3mLAzf46FCblugMgQggh0SlYN6a87WyxOWxo1rYhLyELEqEkKK+30AqU\nOXCyTrQOdc74eb3FgB59PwqVeUHJLqzLXoHPLX8o6JkKd3mYD7tazHYL3rl1GBKBGPcvujuo54hV\nFLQQMkGKwhVoBDr2+FL3dThYJ9Zmz/3OGyGEkNgweWdL06TPteg6YHPaF6yfZT4Uji2ZbPZQItak\n40rDPDfqhwOF2PdMy4f1xzFsGcXe0u2IFyvm+2gxgYIWQiZQShLB5/EDLg/jSsOCUS5ACCEkdrh3\ntrSenfRxbqlkyQL1s8yHwrFgpMlDM757qeQClr8FwtdGfIPViAO1H0MhkmNvCe1XCRYKWgiZgMfj\nIVmmDCjTYrKZcb33NnISMpEeYBM/IYSQ2OTe2dIxeWcLt1SyLIIzLRmKVEgEYo8TxLjJYYVhH7T4\n1oh/sO4TGGwm3Fe2EzKRdCGOFhMoaCFkihS5CkPmEa8NgzO53FMDm9OOtVnL5ulkhBBCohW3s8Vi\nt+D82DZ6lmVRN9gEpTQRKllSiE8YOB6Ph/ykHHSO9k5bosmyLBq1bVDJkpDk4+6TUPGlEX/YPIJD\n9ceQKInHPcVbFuhksYGCFkKmcE8QM/qXbTnf4folQ6VhhBBCAsHtbOFKxPoMgxi2jKI0uTDip1EW\nJuWAZdlpzfgakw7D5hGviyfDhdyH8rC/3PoQFrsFD5TvglggWqijxQQKWgiZgtvV4k+JmMVuxZWe\nG0iPS5nzojFCCCGxadLOFoMGdWNN+Qu1n2U+FShn7muJlH4WABDxhRDzRR6Dlj79AI40nUSqPBk7\nCjYu8OmiHwUthEzhXjCp9z1oudZ7CxaHFWuzlkf83TBCCCGhwzXkf9p6DnUabqlk5PazcLhMytQl\nk+6lkhEQtACuEjFP5WF/uvE+HE4HHl18LwR82t8ebBS0EDIFt6tlwI/ysHM0NYwQQkgQcDtbqlrO\nom6gEWK+CLmJWaE+1pylKpIhE0qnNeM3aVvBgEGBMidEJ/OPQiSbMdPSquvE6baLyE/MxoaclSE4\nWfSjoIWQKfzNtNgcNlR3X4dapkRBUmT80CWEEBKeJu5s6RjpQZEqDwIeP9THmjMew0NBUg66R/tg\ntJkAAE6nE03aNmTGp0EmjIwpWwqxHCabGXanY9LHX695FyxYPL7k/qAvtSQu9KdKyBQJkngI+UL0\nGwZ9enxNXx1MNjPWUGkYIYSQIOBKxACgRBX5/Swcrq+lRdcBAOga7YXZbomY0jBgvBnfOKFE7FZ/\nPa703ERFSgmWpi0K1dGiHgUthEzBMAzSFGp0jPSgc6Rn1sdfoNIwQgghQcTtbAGio5+FUzhWAsY1\n47ub8FXhPzmMM3VXC8uyePXaOwCAJ5d8hm5eziMKWgiZwUMVu2Fz2PD86d/BbLd4fJzD6cDFrmtI\nkiSgJDl/AU9ICCEkWvEYHh6u2IMSVQHK1UWhPk7QFCa5ghOur4VbKhlJmZapu1oudl1Dg7YVa7OW\no0iVF8KTRT8KWgiZwfrslbineAs6R3rw+0uvg2XZGR93e6ABo1YDVmctpRpWQgghQbMlfz1+uOOf\nIBFKQn2UoFHLVVCI5O4JYo3aVgh5AuQkZIb4ZL5TTNjV4nA68Pr198BjeHh88b0hPln0o3dZhHjw\n2aUPokiZh0/bzuNo8+kZH8NNDVtHpWGEEEKIVwzDoFCZgz79ALSmIbQPdSEvKTuixgNPzLScaD2P\nrtFebM3fgIz4tBCfLPpR0EKIBwK+AP+w4SnIRTK8dPlP7sZBjpN14mLnNcSJ5FikLg7RKQkhhJDI\nUTBWInas+QwcrDOiSsOA8UyL1jSEP994H0K+EA9X7AnxqWIDBS2EeKGWq/C1tX8Nm9OO58/8DoYJ\n00LqB1ugMw9jdeZS8KNgHCUhhBAy37glk580nQQQWf0swHim5YP6Y9CYdNhdvBVKWWKITxUbKGgh\nZBYrMhbjM4vuQZ9+AC9eeNnd33J+rDRsDZWGEUIIIT7hlkhqTUMAEHHN63FiV9AyZB6BXCjFfYt2\nhvhEsYOCFkJ88EjlXlSklOBi1zUcqj8KlmVxofMKpEIJFqeWhvp4hBBCSERQSZOQII4DAMiFUqQp\n1CE+kX+4TAvw/9u7v5Ao9zyO459x1FatTo1/SkkqalfPlruVCE4mORK6RbAbBAmJUS6BSZ2C/INC\nF91IE9tQGIkwtDeBabLizWpESwQjOuUWFBRLdZPijLpq5KgjNntxOHKC5VinnpnH5v268pkRf9+L\nDzN8fH7P80h/+f5PHx3DWJQW4BNYY6z6If+E1vxmtW49/Yf++Z9/aTTwX+Vm/EFx1rhIjwcAwLJg\nsVgWHzK5NXnTsnuuycr4JFksFtkS1mj/b4siPU5UobQAn2hNwnf6wV6pDwrp7//ukMRdwwAA+Fw/\nPWRyyzK7nkWSVsTG65z9r6orPKX42PhIjxNVKC3AZ9iW9juVbf/xXuwrrPH64/rfR3giAACWF3tm\nrjJXp2t3Zm6kR/lV8jN3afPazEiPEXWWz42xAZP48/clejf3XqlJNq3gvywAAHyWzO8y9Lf9FyI9\nBpYZSgvwmWIsMTq283CkxwAAAIgabA8DAAAAYGqUFgAAAACmRmkBAAAAYGqUFgAAAACmRmkBAAAA\nYGqUFgAAAACmRmkBAAAAYGqUFgAAAACmRmkBAAAAYGqUFgAAAACmRmkBAAAAYGqUFgAAAACmRmkB\nAAAAYGqUFgAAAACmRmkBAAAAYGqUFgAAAACmRmkBAAAAYGqUFgAAAACmRmkBAAAAYGqUFgAAAACm\nRmkBAAAAYGqUFgAAAACmRmkBAAAAYGqUFgAAAACmRmkBAAAAYGqUFgAAAACmRmkBAAAAYGqUFgAA\nAACmRmkBAAAAYGqUFgAAAACmRmkBAAAAYGqUFgAAAACmRmkBAAAAYGqxS/3C7Oys6uvrNT4+rmAw\nqKqqKmVnZ6umpkahUEipqalyOp2Ki4sLx7wAAAAAosySpeX+/fvKyclRZWWlhoeHdfz4ce3atUvl\n5eUqLS2Vy+VSZ2enysrKwjEvAAAAgCiz5PawAwcOqLKyUpI0PDys9PR0eb1eFRcXS5IcDoc8Ho+x\nUwIAAACIWkueaflJWVmZ/H6/bty4oRMnTixuB0tOTtbo6KhhAwIAAACIbp9cWtra2vTixQudP39e\noVBo8fWf//xLHj9+/PnTAV+I3CESyB0igdwhEsgdwmXJ0vLs2TMlJycrPT1d2dnZ+vDhg5KSkhQM\nBhUfHy+fz6e0tLRf/Bu5ublfbWAAAAAA0WXJa1oePXqkmzdvSpLGxsYUCARkt9vV09MjSert7VVh\nYaGxUwIAAACIWpbQEvu75ubm1NDQoJGREc3Nzen06dPatm2bamtrFQwGlZGRoaamJlmt1nDNDAAA\nACCKLFlaAAAAACCSltweBgAAAACRRGkBAAAAYGqUFgAAAACm9snPafm1mpqa9PTpU1ksFjU0NCgn\nJ8foJRGlnE6nBgcHtbCwoJMnTyonJ0c1NTUKhUJKTU2V0+lcfCgq8DXNzc3p4MGDqq6uVn5+PrmD\n4bq7u+V2uxUbG6szZ84oKyuL3MEwgUBAdXV1mpqa0vz8vKqrq7V161Yyh7Ay9EJ8r9crt9utlpYW\nvXr1So2NjWprazNqOUSx/v5+ud1utba2anJyUocOHVJ+fr6KiopUWloql8ul9PR0lZWVRXpUfINc\nLpc8Ho+OHj2q/v5+ORwOlZSUkDsYYnJyUkeOHFFXV5emp6d17do1zc/PkzsY5tatW/L7/Tp37pz8\nfr+OHTumHTt28B2LsDJ0e1hfX5/27dsnSdqyZYvevXun6elpI5dElMrLy9PVq1clSatXr1YgEJDX\n61VxcbEkyeFwyOPxRHJEfKNev36tN2/eaO/evQqFQvJ6vXI4HJLIHYzh8XhUUFCghIQEpaSk6OLF\nixoYGCB3MIzNZtPExIQkaWpqSjabje9YhJ2hpWVsbEw2m23xeO3atRobGzNySUSpmJgYJSQkSJLu\n3LmjoqIizczMLJ6qTk5O1ujoaCRHxDfK6XSqvr5+8ZjcwWhDQ0OamZlRVVWVysvL1dfXp9nZWXIH\nw+zfv18jIyMqKSlRRUWF6urq+KxD2Bl+TcvP8UgYGO3evXvq7OyU2+1WSUnJ4utkD0bo6upSXl6e\nMjIy/u/75A5GCIVCmpyc1PXr1zU0NKSKioqPskbu8LV1d3dr/fr1am1t1cuXL9XY2PjR+2QO4WBo\naUlLS/vozIrf71dqaqqRSyKKPXz4UK2trXK73Vq5cqWSkpIUDAYVHx8vn8+ntLS0SI+Ib8yDBw/0\n9u1b3b17Vz6fT3FxcUpMTCR3MFRKSop27typmJgYZWZmKikpSbGxseQOhhkcHFRhYaEkKSsrSz6f\nTwkJCWQOYWXo9rCCggL19vZKkp4/f65169YpMTHRyCURpd6/f6/Lly+rpaVFq1atkiTZ7fbF/PX2\n9i5+4AJfi8vlUkdHh27fvq3Dhw+rurpadrtdPT09ksgdjFFQUKD+/n6FQiFNTEwoEAiQOxhq48aN\nevLkiaQftycmJiZq9+7dZA5hZejdwyTpypUrGhgYkNVq1YULF5SVlWXkcohS7e3tam5u1qZNmxQK\nhWSxWHTp0iU1NjYqGAwqIyNDTU1NslqtkR4V36jm5mZt2LBBe/bsUW1tLbmDodrb29XR0SGLxaJT\np05p+/bt5A6GCQQCamho0Pj4uBYWFnT27Flt3rxZdXV1ZA5hY3hpAQAAAIAvYej2MAAAAAD4UpQW\nAAAAAKZGaQEAAABgapQWAAAAAKZGaQEAAABgapQWAAAAAKZGaQEAAABgav8DJXIODdq9zlQAAAAA\nSUVORK5CYII=\n",
    139       "text/plain": [
    140        "<matplotlib.figure.Figure at 0x7f2696df44d0>"
    141       ]
    142      },
    143      "metadata": {},
    144      "output_type": "display_data"
    145     }
    146    ],
    147    "source": [
    148     "## answer key ##\n",
    149     "score, pvalue, _ = coint(A,B)\n",
    150     "\n",
    151     "confidence_level = 0.05\n",
    152     "\n",
    153     "if pvalue < confidence_level:\n",
    154     "    print (\"A and B are cointegrated\")\n",
    155     "    print pvalue\n",
    156     "else:\n",
    157     "    print (\"A and B are not cointegrated\")\n",
    158     "    print pvalue\n",
    159     "    \n",
    160     "A.name = \"A\"\n",
    161     "B.name = \"B\"\n",
    162     "pd.concat([A, B], axis=1).plot();"
    163    ]
    164   },
    165   {
    166    "cell_type": "markdown",
    167    "metadata": {},
    168    "source": [
    169     "##b. Cointegration Test II\n",
    170     "\n",
    171     "Determine whether the following two artificial series $C$ and $D$ are cointegrated using the `coint()` function and a reasonable confidence level."
    172    ]
    173   },
    174   {
    175    "cell_type": "code",
    176    "execution_count": 5,
    177    "metadata": {
    178     "collapsed": false
    179    },
    180    "outputs": [],
    181    "source": [
    182     "C_returns = np.random.normal(1, 1, 100) \n",
    183     "C = pd.Series(np.cumsum(C_returns), name='X') + 100\n",
    184     "\n",
    185     "D_returns = np.random.normal(2, 1, 100)\n",
    186     "D = pd.Series(np.cumsum(D_returns), name='X') + 100\n",
    187     "\n",
    188     "#Your code goes here"
    189    ]
    190   },
    191   {
    192    "cell_type": "code",
    193    "execution_count": 6,
    194    "metadata": {
    195     "collapsed": false,
    196     "scrolled": false
    197    },
    198    "outputs": [
    199     {
    200      "name": "stdout",
    201      "output_type": "stream",
    202      "text": [
    203       "C and D are not cointegrated\n",
    204       "0.487261538359\n"
    205      ]
    206     },
    207     {
    208      "data": {
    209       "image/png": 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LrOkGAAAA9AG3x631BZv1xtEt8hheXTVunu6ZukIBvv5mRxu2KDMAAADAZSppKNUTe55T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\nSUVORK5CYII=\n",
    210       "text/plain": [
    211        "<matplotlib.figure.Figure at 0x7f2696df4510>"
    212       ]
    213      },
    214      "metadata": {},
    215      "output_type": "display_data"
    216     }
    217    ],
    218    "source": [
    219     "## answer key ##\n",
    220     "score, pvalue, _ = coint(C,D)\n",
    221     "\n",
    222     "confidence_level = 0.05\n",
    223     "\n",
    224     "if pvalue < confidence_level:\n",
    225     "    print (\"C and D are cointegrated\")\n",
    226     "    print pvalue\n",
    227     "else:\n",
    228     "    print (\"C and D are not cointegrated\")\n",
    229     "    print pvalue\n",
    230     "\n",
    231     "C.name = \"C\"\n",
    232     "D.name = \"D\"\n",
    233     "pd.concat([C, D], axis=1).plot();"
    234    ]
    235   },
    236   {
    237    "cell_type": "markdown",
    238    "metadata": {},
    239    "source": [
    240     "----"
    241    ]
    242   },
    243   {
    244    "cell_type": "markdown",
    245    "metadata": {},
    246    "source": [
    247     "#Exercise 2: Testing Real Examples\n",
    248     "\n",
    249     "##a. Real Cointegration Test I\n",
    250     "\n",
    251     "Determine whether the following two assets `UAL` and `AAL` were cointegrated during 2015 using the `coint()` function and a reasonable confidence level."
    252    ]
    253   },
    254   {
    255    "cell_type": "code",
    256    "execution_count": 7,
    257    "metadata": {
    258     "collapsed": false
    259    },
    260    "outputs": [],
    261    "source": [
    262     "ual = get_pricing('UAL', fields=['price'], \n",
    263     "                        start_date='2015-01-01', end_date='2016-01-01')['price']\n",
    264     "aal = get_pricing('AAL', fields=['price'], \n",
    265     "                        start_date='2015-01-01', end_date='2016-01-01')['price']\n",
    266     "\n",
    267     "#Your code goes here"
    268    ]
    269   },
    270   {
    271    "cell_type": "code",
    272    "execution_count": 8,
    273    "metadata": {
    274     "collapsed": false
    275    },
    276    "outputs": [
    277     {
    278      "name": "stdout",
    279      "output_type": "stream",
    280      "text": [
    281       "UAL and AAL are not cointegrated\n",
    282       "0.11339061615\n"
    283      ]
    284     },
    285     {
    286      "data": {
    287       "image/png": 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73AKFQsCC0DStobLTtdBrVThVb4k6hQyIHHc89f0sQESmZaSelijlYYZQJo8l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\nePi9a9HrNPxx7yW+8N232H869FkdgvG0ddv5wf+dxWTU8nf3XYdep0G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2oS3kU/hQeeFA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zudRkeOLZPq7lqGhu0kLCLRIssy33zzP6nsrEGSJLZmb+Cukt0UJxeOuV2KOWnxVFqGHcTojGg1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R5jFFGr/fz7FjxygrK5N1W/Ob4ff7ue+++1i1ahXr168HoL+/X7pwHSa3ToH/jfPnz6PT6QgE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\ncEv7F2iHFckci3XYAAAAAElFTkSuQmCC\n",
    288       "text/plain": [
    289        "<matplotlib.figure.Figure at 0x7f268d493fd0>"
    290       ]
    291      },
    292      "metadata": {},
    293      "output_type": "display_data"
    294     }
    295    ],
    296    "source": [
    297     "## answer key ##\n",
    298     "score, pvalue, _ = coint(ual, aal)\n",
    299     "\n",
    300     "confidence_level = 0.05\n",
    301     "\n",
    302     "if pvalue < confidence_level:\n",
    303     "    print (\"UAL and AAL are cointegrated\")\n",
    304     "    print pvalue\n",
    305     "else:\n",
    306     "    print (\"UAL and AAL are not cointegrated\")\n",
    307     "    print pvalue\n",
    308     "\n",
    309     "ual.name = \"UAL\"\n",
    310     "aal.name = \"AAL\"\n",
    311     "pd.concat([ual, aal], axis=1).plot();"
    312    ]
    313   },
    314   {
    315    "cell_type": "markdown",
    316    "metadata": {},
    317    "source": [
    318     "##b. Real Cointegration Test II\n",
    319     "\n",
    320     "Determine whether the following two assets `FCAU` and `HMC` were cointegrated during 2015 using the `coint()` function and a reasonable confidence level."
    321    ]
    322   },
    323   {
    324    "cell_type": "code",
    325    "execution_count": 9,
    326    "metadata": {
    327     "collapsed": false
    328    },
    329    "outputs": [],
    330    "source": [
    331     "fcau = get_pricing('FCAU', fields=['price'], \n",
    332     "                        start_date='2015-01-01', end_date='2016-01-01')['price']\n",
    333     "hmc = get_pricing('HMC', fields=['price'], \n",
    334     "                        start_date='2015-01-01', end_date='2016-01-01')['price']\n",
    335     "\n",
    336     "#Your code goes here"
    337    ]
    338   },
    339   {
    340    "cell_type": "code",
    341    "execution_count": 10,
    342    "metadata": {
    343     "collapsed": false
    344    },
    345    "outputs": [
    346     {
    347      "name": "stdout",
    348      "output_type": "stream",
    349      "text": [
    350       "FCAU and HMC are cointegrated\n",
    351       "0.013687770819\n"
    352      ]
    353     },
    354     {
    355      "data": {
    356       "image/png": 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kklKRabya+KOpqwZUkzDbNpjomvM06pqY2f73FOkxE2dLR7an7CfYJZA5HjP7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\nJD9q/wdGCVVxa2r/FQAAAABJRU5ErkJggg==\n",
    357       "text/plain": [
    358        "<matplotlib.figure.Figure at 0x7f267958f310>"
    359       ]
    360      },
    361      "metadata": {},
    362      "output_type": "display_data"
    363     }
    364    ],
    365    "source": [
    366     "## answer key ##\n",
    367     "confidence_level = 0.05\n",
    368     "\n",
    369     "score, pvalue, _ = coint(fcau, hmc)\n",
    370     "\n",
    371     "if pvalue < confidence_level:\n",
    372     "    print (\"FCAU and HMC are cointegrated\")\n",
    373     "    print pvalue\n",
    374     "else:\n",
    375     "    print (\"FCAU and HMC are not cointegrated\")\n",
    376     "    print pvalue\n",
    377     "\n",
    378     "fcau.name = \"FCAU\"\n",
    379     "hmc.name = \"HMC\"\n",
    380     "pd.concat([fcau, hmc], axis=1).plot();"
    381    ]
    382   },
    383   {
    384    "cell_type": "markdown",
    385    "metadata": {},
    386    "source": [
    387     "----"
    388    ]
    389   },
    390   {
    391    "cell_type": "markdown",
    392    "metadata": {},
    393    "source": [
    394     "# Exercise 3: Searching for Cointegrated Pairs\n",
    395     "\n",
    396     "Use the `find_cointegrated_pairs` function, defined in the \"Helper Functions\" section above, to find any cointegrated pairs among a set of metal and mining securities.\n",
    397     "\n",
    398     "Note that not all of these securities in this exercise are within the [QTradableStocksUS](https://www.quantopian.com/posts/working-on-our-best-universe-yet-qtradablestocksus). As you continue your development, focus on securities within the QTU to be eligible for an [allocation](https://quantopian.com/allocation)."
    399    ]
    400   },
    401   {
    402    "cell_type": "code",
    403    "execution_count": 11,
    404    "metadata": {
    405     "collapsed": true
    406    },
    407    "outputs": [],
    408    "source": [
    409     "symbol_list = ['MTRN', 'CMP', 'TRQ', 'SCCO', 'HCLP','SPY']\n",
    410     "prices_df = get_pricing(symbol_list, fields=['price']\n",
    411     "                               , start_date='2015-01-01', end_date='2016-01-01')['price']\n",
    412     "prices_df.columns = map(lambda x: x.symbol, prices_df.columns)\n",
    413     "\n",
    414     "#Your code goes here"
    415    ]
    416   },
    417   {
    418    "cell_type": "code",
    419    "execution_count": 12,
    420    "metadata": {
    421     "collapsed": false
    422    },
    423    "outputs": [
    424     {
    425      "name": "stdout",
    426      "output_type": "stream",
    427      "text": [
    428       "[(u'MTRN', u'SCCO')]\n"
    429      ]
    430     },
    431     {
    432      "data": {
    433       "image/png": 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qDgAAOCKlMiN+xDdrAgDAh0GJTKa4WRMAAIpBIg4AQKqUymiKRBwAAIpAIg4A\nQKrUJaURiUvEAQCgCCTiAACkSqnMiGvEAQBIlVqjKQAAQGNJxAEASJXaumJXcHRoxAEA4AjNmDEj\n1q5dG5lMJiZNmhRnnnlm9tizzz4b8+fPj/Ly8ujcuXNMnz4957mMpgAAkCq1SZK3Vy5r1qyJzZs3\nx+LFi2PatGkHNdrf+ta34oc//GHce++9UV1dHU8//XTO82nEAQDgCKxevToGDBgQERFdu3aNt956\nK/bs2ZM9vnTp0ujQoUNERLRt2zZ27tyZ83wacQAAUqW2LsnbK5ft27dH27Zts9tt2rSJ7du3Z7db\ntGgRERHbtm2LX//619GvX7+c5zMjDgBAqnxYli9MDlHHG2+8EV/5ylfilltuiVatWuX8fok4AAAc\ngfbt29dLwLdt2xbt2rXLbldXV8eXvvSlmDBhQvTp0+ew59OIAwCQKrV1+Xvl0rdv31i5cmVERGzY\nsCE6dOgQlZWV2eMzZ86MsWPHRt++fY/oOoymAADAETj77LOjZ8+eMXLkyCgvL4+pU6fGsmXLomXL\nlnHeeefFL37xi3j55ZdjyZIlkclkYsiQITFixIgGz6cRBwAgVYo5Iz5hwoR62927d89+vW7dur/r\nXEZTAACgCCTiAACkyuGWGUwLjTgAAKnyYVm+8IPSiAMARXHZ3j8WuwQoKo04AACpcrhlBtPCzZoA\nAFAEEnEAAFKlVGbEJeIAAFAEEnEAAFKlVBJxjTgAAKlSKuuIG00BAIAikIgDAJAqtaURiEvEAQCg\nGCTiAACkihlxAACg0STiAACkiuULAQCgCIymAAAAjSYRBwAgVSxfCAAANJpEHACAVCmVGXGNOAAA\nqVIqq6YYTQEAgCKQiAMAkCoScQAAoNEk4gAApEptXbErODok4gAAUAQScQAAUqVUZsQ14gAApEqp\nrCNuNAUAAIpAIg4AQKqUymiKRBwAAIogZyP+ve99L/bs2VOoWgAA4LDq6vL3KqScjXjr1q1j+PDh\ncf/990dSIv8EAAAAHwaZ5DAd9o4dO+LHP/5xvPDCC/HVr341TjrppOyxU089Ne8FAgDAe3389svy\ndu4t1zyUt3O/32Eb8YiI3bt3x9SpU+PFF1+ME088MZIkiUwmE3fddVchagQAgKwTFlyat3NvHf9w\n3s79fjlXTTlw4EDcc889cf/998fo0aNjzpw5UV5eXqjaAACgZOVsxIcMGRIXXnhhLFmyJFq2bFmo\nmgAAoEEy3JABAAANi0lEQVRJiTzQJ2cjfuedd8YnPvGJQtUCAABNRs5G/CMf+UhMmTIlNm/eHL16\n9YprrrkmjjvuuELVBgAABymV1fxyLl84ZcqUOOecc+Lb3/52fOxjH4tZs2YVqi4AAChpORPxvXv3\nxmWXvbM8TJcuXWLMmDEFKQoAABrSJGbEM5lMzm0AACi0JtGIv/baa7Fo0aIGt0eNGpW/ygAAoIQd\ndvnCHTt2ZLc///nPx4YNG+JjH/tYNG/ePO/FAQDA+zWJRPxTn/pU3H777XH33XdHbW1tjB07Nl57\n7bVIkiQmT55cqBoBAKDk5GzE58+fH7Nnz46IiMceeyz27t0bK1asiF27dsX48eOjX79+BSkSAADe\nVSqJeM7lC5s3bx6nnHJKREQ8/fTTMXTo0MhkMtG6dWuPugcAgA8gZyNeU1MTdXV1sW/fvli1alWc\nd955EfHOIup79+4tSIEAAPBeSV2St1ch5RxNGTp0aHzhC1+ImpqaOP/886NLly5RU1MTEydOjN69\nexeqRgAAyCqV0ZScjfioUaPiggsuiN27d0ePHj0iIqKioiLOPffcGD58eEEKBACAUpSzEY+I6Nix\n40H7RowYkZdiAADgcEolEc85Iw4AAOTHYRNxAAD4MJGIAwAAjSYRBwAgVZKkNBJxjTgAAKliNAUA\nAGg0iTgAAKkiEQcAABpNIg4AQKpIxAEAgEaTiAMAkCqlkohrxAEASJVSacSNpgAAQBFIxAEASBWJ\nOAAA0GgScQAAUkUiDgAANJpEHACAVEmS0kjENeIAAKSK0RQAAKDRJOIAAKSKRBwAAGg0iTgAAKki\nEQcAABpNIg4AQKqUSiKeSUplIUYAAEgRoykAAFAEGnEAACgCjTgAABSBRhwAAIpAIw4AAEWgEQcA\ngCLQiAMAQBE06Qf6vPrqq9G/f/944IEH4swzz8zuHzFiRHz84x+PnTt3RpIksXbt2ujVq1eUlZXF\n2LFjY8OGDfHII49Ehw4dIkmS2L9/f1x99dUxYMCAeP755+PLX/5yPP744/Gxj30sIiIWLFgQn/nM\nZ6J3797FutSSsHnz5vjud78bO3bsiNra2jj77LPjhhtuiEsuuSSuuOKKGDduXPa9s2fPjhUrVsQv\nf/nLWLZsWfzgBz+ITp06RZIkUVZWFlOnTo2uXbsW8WpKy6xZs2L9+vWxffv22LdvX3Tq1ClatWoV\nTz75ZPzjP/5jJEkStbW10b59+/jud78blZWVkSRJ/OAHP4hVq1ZF8+bNo7KyMiZPnuznchQtWrQo\nfvGLX0RFRUXs378/vv71r0efPn3ioYceirvvvjuaN28eBw4ciHHjxsWgQYMiImLdunUxZ86cqKmp\nibfffjsuvPDCGD9+fEREvPnmmzF9+vTYtGlTlJWVRZcuXWLy5MnRqlWrYl5mar366qvxta99LZYu\nXZrdt2DBgmjTpk184QtfiBkzZsT69eujefPm0apVq7jlllvihBNOiIkTJ8bgwYOjX79+9c7Xs2fP\n+NSnPhVJkkRNTU0MGzYsRo4cWejLKmmH+ky98MIL9XqCysrKmDZtWvztb3+Lq6++Oh555JFo1uyd\ndusnP/lJ7Ny5M775zW8W+Ur40EiasFdeeSUZOHBgMmvWrOy+V199NRk4cGBy0003ZfdddNFFyb59\n+7Lbt912W3LPPfdkt3fu3JlccMEFyf79+5PnnnsuGTp0aHLLLbfUe//zzz+f56spbbW1tcmQIUOS\nNWvWZPfdeuutybx585J/+qd/SkaPHl3v/WPHjk0uuuiiJEmS5MEHH6z3M37++eeTq666qjCFNzHv\n/2997rnn1jt+2223JbfffnuSJEly5513JlOmTMke+/Of/5wMGjQoeeuttwpTbIl75ZVXkksvvTSp\nra1NkiRJNm3alIwePTp54YUXkssvvzzZvXt3kiRJ8sYbbyQXX3xxsmnTpmT37t3JxRdfnPz5z39O\nkiRJDhw4kIwfPz5ZsmRJkiRJMm7cuOThhx/O/horVqxIRo0aVeArKx2vvPJKMnz48Hr73v3z5eab\nb07uuOOO7P7ly5cn//zP/5wkSZLcdNNNyVNPPXXQ+d77edu/f3/yuc99LvnrX/+ap+qbnoY+U+/v\nCZYtW5ZMnjw5SZIkmTVrVvLTn/40SZIkefPNN5NBgwYl1dXVBa+dD68mP5rSq1evePbZZ7PbK1eu\njPPOO6/ee5IkiSTHA0hbtWoV7dq1i23btkVExMCBA+OPf/xjbN68OT9FN0HPPPNMdO3aNc4555zs\nvhtuuCGuvfbaOOaYY6JFixbxyiuvRETEhg0b4uSTT27wXGeddZafTZH06tUr+9/+vvvuixtvvDF7\nrGvXrjF06NB66SCNt3v37qipqYn9+/dHRMQpp5wSd999d9xzzz1x7bXXRosWLSIiom3btrF06dI4\n5ZRT4j//8z9j4MCB2X+VKC8vj1mzZsUXv/jFqKqqit27d8fQoUOzv8agQYOiWbNmsWHDhsJfYIk4\n1J8tSZLEr371q/jSl76U3Td48OC48847j/i8FRUV0a1bt/jLX/5yVOqk4c/U+73397mvfOUrcf/9\n98fu3bvjxz/+cYwdOzaOO+64gtbNh1uTb8SPOeaY6NGjR6xbty4iIp588smD/rnvcKqqquKNN96I\nE044Ibvv61//esydO/eo1tqUVVVVxSc/+cl6+yoqKqKioiIi3mkIHn300YiIWLFiRVx88cUNnuuX\nv/xl9OrVK3/FkvXeJiNJknjsscfi9NNPj+rq6mjevHm2GXxXjx49oqqqqtBllqQePXrEmWeeGf37\n94+JEyfG8uXL48CBA4f8LL37czjUscrKyshkMlFVVRU9evQ45K+zadOm/F1Iidu0aVNceeWVceWV\nV8aYMWNi2bJlsXv37ujcuXNkMpl6733/5+X93vt527lzZ7z00kvRrVu3vNTdFB3qM1VbW3vQ+556\n6qnsnzEtW7aM0aNHx9SpU+OFF16Iyy+/vNBl8yHXpGfE3zV48OB49NFHo3379tG6des49thjD/s9\nd911V6xcuTKqq6ujpqYm5s2bl50Bi4jo3bt3LFy4MNauXZvP0puMTCZzyN/w3j02YMCAGDduXFx9\n9dWxZs2auP766+v9ofToo4/G+vXrI0mSaN++fUyePLlQpTdp1dXVceWVV0aSJLFx48YYOnRojB49\nOqqrqw/58zzcvz7x95k1a1ZUVVXFr371q1i4cGHcd999UVZWFnV1dYd8/+E+Z4f6vuT/3ndB43Tp\n0iXuuuuu7PaCBQviuOOOa/BnlMt7P2/l5eVx4403RuvWrY9muU3eoT5TvXv3zvYESZJE586d6/1r\n38iRI+OnP/1pTJky5aC/XIFGPCL69OkTc+fOjRNPPDEGDhx40PFDfXCuvPLKGDVqVLz++utx1VVX\nHTJ1mDBhQkybNi0+/elP56XupqRLly5xzz331NtXU1MT//M//xMR7yRFbdq0iccffzxOO+20KC8v\nr/dz++xnPxs33HBDIUsm3kmD3m0yZs+eHR06dIiysrL46Ec/GjU1NbFjx45o06ZN9v1/+MMf4tRT\nTy1WuSWnpqYmunTpEl26dIkxY8bE4MGD44QTToi1a9fW+1ejqqqqOOGEE6JLly6xbt26euMnO3bs\niH379kWXLl1iwYIFB/0af/jDH2L48OEFuZ6moqysLKqqquLtt9+OY445Jrt//fr1ccYZZzT4fe/9\nvJEfh/pMbdmyJdsTHEp5eXmceOKJcdJJJxW4WtJAjBHvjKecfvrpsXTp0rjwwgsPOp4roWvXrl1c\neumlcdtttx10rFu3btGxY8d48sknj2q9TVHfvn1jy5Yt8dRTT0VERF1dXcyZMyeWL1+efc+gQYNi\nzpw52dUfJKvF996fwTXXXBOLFi2K7du3R8Q7qxPNnDkzm/xt3LgxHn300Rg2bFhRai01DzzwQEyc\nODH7M9i1a1ckSRITJkyIBQsWxJtvvhkREa+//npcd911sWXLlhgyZEisWrUqXnzxxYh4p+n41re+\nFatXr47OnTtH+/btY8mSJdlfY+XKldGsWTPjDx/AoX6fymQy0b9///j+97+f3bdy5cqYNWtWzu/z\ne15+NfSZeneFtFz8bGiIRPz/Gjx4cOzYseOQM3iH+6ekq666Ki699NJDpkLXXXddDB48+KjV2VRl\nMplYuHBhTJkyJRYsWBDHHHNM9O3bN8aPHx9XXnllREQMGDAg5s6dG3369Ml+D8X13p9BixYt4ktf\n+lLMnDkz5syZE1/5ylfie9/7XlxyySVRWVkZbdq0iXnz5sVHP/rRIlZcOoYPHx6bNm2Kyy+/PCor\nK6O2tjamTJkSZ511VkyYMCHGjRsXlZWVUV5eXm85z5/85Cdx8803R01NTZSVlcWQIUOyv7fNnz8/\nbr311li8eHGUlZVFp06dYs6cOcW8zNRr6PepSZMmxezZs2PIkCHRunXrOOGEE+L222/PHv/2t78d\ns2fPjiRJ4vTTT4+5c+f6PS/PDvWZmjx5cvYvrrn42dCQTOKvaUCRffazn40f/vCHxlIAaFI04kDR\nrV69OqZPnx7/8A//ENOmTSt2OQBQEBpxAAAoAjdrAgBAEWjEAQCgCDTiAABQBBpxAAAoAo04AAAU\nwf8PWeYHiigE9LcAAAAASUVORK5CYII=\n",
    434       "text/plain": [
    435        "<matplotlib.figure.Figure at 0x7f267b96a790>"
    436       ]
    437      },
    438      "metadata": {},
    439      "output_type": "display_data"
    440     }
    441    ],
    442    "source": [
    443     "## answer key ##\n",
    444     "scores, pvalues, pairs = find_cointegrated_pairs(prices_df)\n",
    445     "import seaborn\n",
    446     "seaborn.heatmap(pvalues, xticklabels=symbol_list, yticklabels=symbol_list, cmap='RdYlGn_r' \n",
    447     "                , mask = (pvalues >= 0.99)\n",
    448     "                )\n",
    449     "print pairs"
    450    ]
    451   },
    452   {
    453    "cell_type": "markdown",
    454    "metadata": {},
    455    "source": [
    456     "----"
    457    ]
    458   },
    459   {
    460    "cell_type": "markdown",
    461    "metadata": {},
    462    "source": [
    463     "#Exercise 4: Out of Sample Validation\n",
    464     "\n",
    465     "##a. Calculating the Spread\n",
    466     "\n",
    467     "Using pricing data from 2015, construct a linear regression to find a coefficient for the linear combination of `MTRN` and `SCCO` that makes their spread stationary."
    468    ]
    469   },
    470   {
    471    "cell_type": "code",
    472    "execution_count": 13,
    473    "metadata": {
    474     "collapsed": true
    475    },
    476    "outputs": [],
    477    "source": [
    478     "S1 = prices_df['MTRN']\n",
    479     "S2 = prices_df['SCCO']\n",
    480     "\n",
    481     "#Your code goes here"
    482    ]
    483   },
    484   {
    485    "cell_type": "code",
    486    "execution_count": 14,
    487    "metadata": {
    488     "collapsed": false,
    489     "scrolled": false
    490    },
    491    "outputs": [
    492     {
    493      "name": "stdout",
    494      "output_type": "stream",
    495      "text": [
    496       "0.451956296234\n",
    497       "p-value for in-sample stationarity:  0.000609697742449\n"
    498      ]
    499     },
    500     {
    501      "data": {
    502       "image/png": 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O2jIGLYcOHcI999yD2dlZGI1GPPLII/jsZz+LL3/5y3A6nXA6nfiHf/iHgh8wEVW3cFhf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jAAAg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\nEARBEARBEO5r/wEiy/ET3aEDXQAAAABJRU5ErkJggg==\n",
    503       "text/plain": [
    504        "<matplotlib.figure.Figure at 0x7f267bd27d90>"
    505       ]
    506      },
    507      "metadata": {},
    508      "output_type": "display_data"
    509     }
    510    ],
    511    "source": [
    512     "## answer key ##\n",
    513     "S1 = sm.add_constant(S1)\n",
    514     "results = sm.OLS(S2, S1).fit()\n",
    515     "b = results.params['MTRN']\n",
    516     "S1 = S1['MTRN']\n",
    517     "\n",
    518     "print b\n",
    519     "spread = S2 - b * S1\n",
    520     "print \"p-value for in-sample stationarity: \", adfuller(spread)[1]\n",
    521     "# The p-value is less than 0.05 so we conclude that this spread calculation is stationary in sample\n",
    522     "spread.plot()\n",
    523     "plt.axhline(spread.mean(), color='black')\n",
    524     "plt.legend(['Spread']);"
    525    ]
    526   },
    527   {
    528    "cell_type": "markdown",
    529    "metadata": {},
    530    "source": [
    531     "##b. Testing the Coefficient\n",
    532     "\n",
    533     "Use your coefficient from part a to plot the weighted spread using prices from the first half of 2016, and check whether the result is still stationary."
    534    ]
    535   },
    536   {
    537    "cell_type": "code",
    538    "execution_count": 15,
    539    "metadata": {
    540     "collapsed": true
    541    },
    542    "outputs": [],
    543    "source": [
    544     "S1_out = get_pricing('MTRN', fields=['price'], \n",
    545     "                        start_date='2016-01-01', end_date='2016-07-01')['price']\n",
    546     "S2_out = get_pricing('SCCO', fields=['price'], \n",
    547     "                        start_date='2016-01-01', end_date='2016-07-01')['price']\n",
    548     "\n",
    549     "#Your code goes here"
    550    ]
    551   },
    552   {
    553    "cell_type": "code",
    554    "execution_count": 16,
    555    "metadata": {
    556     "collapsed": false,
    557     "scrolled": false
    558    },
    559    "outputs": [
    560     {
    561      "name": "stdout",
    562      "output_type": "stream",
    563      "text": [
    564       "p-value for spread stationarity:  0.145567411661\n"
    565      ]
    566     },
    567     {
    568      "data": {
    569       "image/png": 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NHq5el4+kuKFH6g5HFEX83zsVAIBvXTMfrf3lBQ2tfVhUlBKC/0sSRRHt3Vak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iIiojRDvl+4a9cudHR04JZbbsnq8fv378/3pegcw+91eeL3nRbD9wcBfB/Q4vj+oMXkFbT8+te/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\nQRCEm5oIWgRBEARBEARBuKn9D634sUtEyqTqAAAAAElFTkSuQmCC\n",
    570       "text/plain": [
    571        "<matplotlib.figure.Figure at 0x7f2674849b10>"
    572       ]
    573      },
    574      "metadata": {},
    575      "output_type": "display_data"
    576     }
    577    ],
    578    "source": [
    579     "## answer key ##\n",
    580     "\n",
    581     "spread = S2_out - b * S1_out\n",
    582     "spread.plot()\n",
    583     "plt.axhline(spread.mean(), color='black')\n",
    584     "plt.legend(['Spread']);\n",
    585     "\n",
    586     "print \"p-value for spread stationarity: \", adfuller(spread)[1]\n",
    587     "# Our p-value is greater than 0.05 so we conclude that this calculation of\n",
    588     "# the spread is non-stationary out of sample"
    589    ]
    590   },
    591   {
    592    "cell_type": "markdown",
    593    "metadata": {},
    594    "source": [
    595     "----"
    596    ]
    597   },
    598   {
    599    "cell_type": "markdown",
    600    "metadata": {},
    601    "source": [
    602     "#Extra Credit Exercise: Hurst Exponent\n",
    603     "\n",
    604     "This exercise is more difficult and we will not provide initial structure.\n",
    605     "\n",
    606     "The Hurst exponent is a statistic between 0 and 1 that provides information about how much a time series is trending or mean reverting. We want our spread time series to be mean reverting, so we can use the Hurst exponent to monitor whether our pair is going out of cointegration. Effectively as a means of process control to know when our pair is no longer good to trade.\n",
    607     "\n",
    608     "Please find either an existing Python library that computes, or compute yourself, the Hurst exponent. Then plot it over time for the spread on the above pair of stocks.\n",
    609     "\n",
    610     "These links may be helpful:\n",
    611     "\n",
    612     "* https://en.wikipedia.org/wiki/Hurst_exponent\n",
    613     "* https://www.quantopian.com/posts/pair-trade-with-cointegration-and-mean-reversion-tests"
    614    ]
    615   },
    616   {
    617    "cell_type": "code",
    618    "execution_count": 17,
    619    "metadata": {
    620     "collapsed": true
    621    },
    622    "outputs": [],
    623    "source": [
    624     "# No solution provided for extra credit exercises."
    625    ]
    626   },
    627   {
    628    "cell_type": "markdown",
    629    "metadata": {},
    630    "source": [
    631     "*This presentation is for informational purposes only and does not constitute an offer to sell, a solic\n",
    632     "itation to buy, or a recommendation for any security; nor does it constitute an offer to provide investment advisory or other services by Quantopian, Inc. (\"Quantopian\"). Nothing contained herein constitutes investment advice or offers any opinion with respect to the suitability of any security, and any views expressed herein should not be taken as advice to buy, sell, or hold any security or as an endorsement of any security or company.  In preparing the information contained herein, Quantopian, Inc. has not taken into account the investment needs, objectives, and financial circumstances of any particular investor. Any views expressed and data illustrated herein were prepared based upon information, believed to be reliable, available to Quantopian, Inc. at the time of publication. Quantopian makes no guarantees as to their accuracy or completeness. All information is subject to change and may quickly become unreliable for various reasons, including changes in market conditions or economic circumstances.*"
    633    ]
    634   }
    635  ],
    636  "metadata": {
    637   "kernelspec": {
    638    "display_name": "Python 2",
    639    "language": "python",
    640    "name": "python2"
    641   },
    642   "language_info": {
    643    "codemirror_mode": {
    644     "name": "ipython",
    645     "version": 2
    646    },
    647    "file_extension": ".py",
    648    "mimetype": "text/x-python",
    649    "name": "python",
    650    "nbconvert_exporter": "python",
    651    "pygments_lexer": "ipython2",
    652    "version": "2.7.12"
    653   }
    654  },
    655  "nbformat": 4,
    656  "nbformat_minor": 0
    657 }