{ "metadata": { "language": "Julia", "name": "", "signature": "sha256:a3af3b9a695c6e7390c4dc2095a239cac53006e0ce011e95c2e9ccd2148aa180" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Time Series Analysis\n", "A time series is a sequence of data points, each associated with a time. In our example, we will work with a time series of daily temperatures in the city of Melbourne, Australia over a period of a few years. Let $x$ be the vector of the time series, and $x_i$ denote the temperature in Melbourne on day $i$. Here is a picture of the time series:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "using Gadfly, Convex, SCS\n", "temps = readdlm(\"melbourne_temps.txt\", ',')\n", "n = size(temps)[1]\n", "p = plot(\n", " x=1:1500, y=temps[1:1500], Geom.line,\n", " Theme(panel_fill=color(\"white\"))\n", ")" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "\n", " \n", " x\n", " \n", " \n", " -2000\n", " -1500\n", " -1000\n", " -500\n", " 0\n", " 500\n", " 1000\n", " 1500\n", " 2000\n", " 2500\n", " 3000\n", " 3500\n", " -1500\n", " -1450\n", " -1400\n", " -1350\n", " -1300\n", " -1250\n", " -1200\n", " -1150\n", " -1100\n", " -1050\n", " -1000\n", " -950\n", " -900\n", " -850\n", " -800\n", " -750\n", " -700\n", " -650\n", " -600\n", " -550\n", " -500\n", " -450\n", " -400\n", " -350\n", " -300\n", " -250\n", " -200\n", " -150\n", " -100\n", " -50\n", " 0\n", " 50\n", " 100\n", " 150\n", " 200\n", " 250\n", " 300\n", " 350\n", " 400\n", " 450\n", " 500\n", " 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"prompt_number": 1, "svg": [ "\n", "\n", "\n", " \n", " x\n", " \n", " \n", " 0\n", " 500\n", " 1000\n", " 1500\n", " \n", " \n", " y\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " -10\n", " 0\n", " 10\n", " 20\n", " 30\n", " \n", "\n", "\n", "\n", " \n", "\n", "\n" ], "text": [ "Plot(...)" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can quickly compute the mean of the time series to be $11.2$. If we were to always guess the mean as the temperature of Melbourne on a given day, the RMS error of our guesswork would be $4.1$. We'll try to lower this RMS error by coming up with better ways to model the temperature than guessing the mean.\n", "\n", "A simple way to model this time series would be to find a smooth curve that approximates the yearly ups and downs.\n", "We can represent this model as a vector $s$ where $s_i$ denotes the temperature on the $i$-th day.\n", "To force this trend to repeat yearly, we simply want\n", "\n", "$$s_i = s_{i + 365}$$\n", "\n", "for each applicable $i$.\n", "\n", "We also want our model to have two more properties:\n", "\n", "- The first is that the temperature on each day in our model should be relatively close to the actual temperature of that day.\n", "- The second is that our model needs to be smooth, so the change in temperature from day to day should be relatively small. The following objective would capture both properties:\n", "\n", "$$\\sum_{i = 1}^n (s_i - x_i)^2 + \\lambda \\sum_{i = 2}^n(s_i - s_{i - 1})^2$$\n", "\n", "where $\\lambda$ is the smoothing parameter. The larger $\\lambda$ is, the smoother our model will be.\n", "\n", "The following code uses Convex to find and plot the model:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "yearly = Variable(n)\n", "eq_constraints = []\n", "for i in 365 + 1 : n\n", " eq_constraints += yearly[i] == yearly[i - 365]\n", "end\n", "\n", "smoothing = 100\n", "smooth_objective = sumsquares(yearly[1 : n - 1] - yearly[2 : n])\n", "problem = minimize(sumsquares(temps - yearly) + smoothing * smooth_objective, eq_constraints)\n", "solve!(problem, SCSSolver(max_iters=5000, verbose=0))\n", "residuals = temps - evaluate(yearly)\n", "\n", "# Plot smooth fit\n", "p = plot(\n", " layer(x=1:1500, y=evaluate(yearly)[1:1500], Geom.line, Theme(default_color=color(\"red\"), line_width=2px)),\n", " layer(x=1:1500, y=temps[1:1500], Geom.line),\n", " Theme(panel_fill=color(\"white\"))\n", ")" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "\n", " \n", " x\n", " \n", " \n", " 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kKF973P1Rfe1xciysPU4O7v6ovfYA/rVXbQ/g1l7hHlD6u5Te87X2gNK1l0pxa690D+DkqGft1d4D6lt7lfeA8rXHXY/qa4+7HtKtvWI5uLVXes8vXI/qa2/hnq8mR+21B6DgNy6VI3Xq2iYRjSZq7gHhcEoLgVhS4dk7PrhjKyPH13Z+f9dFAHDnLXe+DQz7/+18cNdlH7v5Y2aZSvYKsjhv1w92eQrPq9W4zOEIwGTSQaNRSvAXdB7RVBT6f9PDqDLiZ+/9Ga4cu7Ku865/+Ho8euRRJD6fgEquEllKopRP/v6TeM3+Gv50y5/aLUpdzMx4sGJFznpBEIQ4TE25MTraV+sQalxWD46oYx/AOu66dcdLcpXssIzFvaWKBR+ZTHZZ+4JngjNQy9XYaN2I+fB83efNh3LHBhIBsUQjahBKhhBNRdstRt2k0xlqXEYQIiNlzaYlk4oKALt+sOsFABdx/96zZ08GwN/f+aE7h3SIhv7je98LNTrm0JBZSBEXHTOBGQwZhzBgGGio1gVXdCuYCKJf1y+WeEQVQonFpVysXm1ptwgEseRZu9Yq2VxLSrmoxs7v7WzazJNOZyGXM8u2qdJscBYru1bmlIs6q3SyLJtXRIKJoJjiEVUIJ8OLSrlIpzNQKJZ3sTqCEJtUKiNZUcgl7RYRAqczkA8gW47MheawomsFLHpL3ZYLf8KPRCYBrUKLUKJhYxEhAItNuZiZ8Sz7lG+CEJupKbdkc5FywYNSKV/WZYlnAjMYMY1gwDBQd5XO+dA8VHIVVnWvIstFm1hsMRdqtXLZWgcJQirUaumcFaRc8NDf3wW1enlmigA5t8gK4wpY9da63SKOiAMWvQVd6i5SLtrEYou5GBoyL2slniCkYHi4V7K5SLngobD4yXJkNjiLYdNwQ5YLe9iOAcMAKRdtJJQMIZVNIZVdHC69SCSxrLOyCEIKuJogUkDKBQ8+30JhmeXITHAGK7tWwmqwwhP11PWwIuWi/YSTudbKi8V64XQGqLcIQYiM3S5daQBSLngwGDTLNoo9morCG/Pms0VYsHBFXLznOcKOvHIRSlJAp9Rk2SwiyVzVvsWiXJhMOnKLEITImM3SdR8m5YKHri6tZKk7ncZscBYquQpWvRVahRZGlbGuuAuyXLSXSCoCFjkrwGJRLnp6DBTQSRAi09trlGwuUi54CAZjklY16yTmQnMYMAxAxuRuE6vBWlc6KhfQaVQbSbloA5xLRM7IEUvF2ixNfXi9YYq5IAiR8XiksySTcsFDOBzPN4lZbkwHpjFiGsn/u96gzvnQPAYNg2S5aBOhRAgKmQJmrRmRVKTd4tRFIBClmAuCEBmfTzpLJikXPJjNeqhUy6KQaRlcdU6OetNRHREHrAYrKRdtIpQMwaAyQKfULRq3iMViopgLghCZgQGTZHORcsGDVquCXL48L1OpclFPf5EMm4Er4qKYizYSToYXnXKh16sp5oIgRMZg0Eg21/J8ajaAxxNCIrE4agUITZnlwmDldYu4Ii5k2AwpF20klAjBqDIuKuXCbveTW4QgRMZm80k2FykXPCQS6WW76TXjFrGH7dAr9TCqjKRctInFaLmIxZIU0EkQIhONJiWba3kGEzSAxWKCXL48zbUzgZkyywWfW4RLQwVAykWbCCVDMKqNUMgUiyZbZHi4d9m6HwlCKkZH+ySbi5QLHhSK5bnhRVNReGIeDHcN5z+rJ1vEEXEUKReRZAQZNgM5szxrhbSDcDIMo8oIhmEWjeViuRaqIwgpkbJm0/J8cjaAzeZDLCadKalTmAvNQSlT5hUFIOcW8ca8NUuA28N2WA1WADnlggVLbdclJpRYfNkiExPOZd3DhyCk4Pjx+ppPCgEpFzwwDIPlGMQ+G5zFoHEwX0ALyLlFWLBwRpxVz+NKfwM55QIAuUYkJpwMw6jOBXTG0ovDLSKT0VZEEGIjpYufVjQPg4Pd0GhU7RZDckqDOQFAq9CiS91VM+7CHrbDqs9ZLpQyJbQKLfUXkZjFWOdidLSPYi4IQmRWr7ZINhetZh5SqeWZLVIazMnBF3dRGNAJgEqAtwEu5mIxKReJRBqULEIQ4iJlWQVSLnhwuZZnnYu50FxRMCcHXzpqqXJBGSPSw8VcaBXaRaNc2GxeZLMUc0EQYjIz45VsLlIueNBolMvSXDsTmMGKrhVln/MV0irMFgFIuWgHXCrqYrJc6PUaqtBJECJjMKglm4tSUXno6TG0W4SqZNlsUcClkMyF5iq6Rax6a9WAzmQmCV/Ml88WAXLKBWWLSAtXRCuVSS0a5cJi6Wq3CASx5BkY6JZsruX3St4gkUgC6XRnmmtfnHsRGVacjq0zgZmKbpFaMRfc56WWi0AiIIqMRGUWY/nvUChGFToJQmSCQemyx0i54CEQiCKVSrdbjIqc8J7AYddhwceNpWNwR92VLRc1qnTaw3Z0a7qhli+Y3sgtIj2Lsfy32x1aloHTBCElTqd0ezEpFzx0dWklrWrWCI6IAy/NvST4uHPBOchlcgwaB8u+47NcFFotAHKLtIPFGHPR02OglusEITK9vdK5+Um54MFg0HRsaWJnxIn9tv2CjzsXmoNVb61Ystuit1SNuXBGnEXxFgBgVFEqqtQsRsuFyaSjgE6CEBmzWS/ZXKRc8OD1hpFMdqZbxBEWx3IxG5zFsKk83gJYKAGezJSXRK9muSDlYoEsK278TjwdRzqbFj3mwh1145E3HsGHH/0w3v+L97c8ntMZJLcIQYiM3e6XbC5SLniIx1Md2/PAGXHidcfrgpd4rlSdk6NWCfDC6pwcpFwU89LcS0hnxVNWuWqoYlkuvvfq93Du/efC+p9WfP5PnwfDMPjZmz/D687XWxo3EolTQCdBiEw4nJBsLlIueOjtNUCt7syMXUfEgVQ2hVfmXxF03GrVOYFcCXCT2lSxkBZZLvh5y/0WDruFD8LlCCfDYMDkimgptYK3XP/x6z/GhSsvxMQnJnDsrmP4znXfwY0bbsTOl3a2NO7AQDf1FyEIkRkaMks2F61mHtRqZcdues6IE13qLsFdI7UsF0D1jJHSAloAKRelTPonBVcGCwklQtApdZAxMuiUOmTYDOLpuGDj20I2XLvuWoyYRvKf3bXlLuw+tBu+uK/pcbVa1bJsEEgQUqLTSdcnqzOfmh2EwxFAPN555b9ZNueauHrt1Xhx9kVBx7aH7Rg0lGeKcFj1lat0FrZb5+hSd1HjsgJEVy5OZYoAgE6pAwBBXSNzoTkMGYeKPtuyYgvOsp6FB155oOlxZ2Y8VP6bIERmasot2VykXPCQyWQ70hfsi/uQzCRx/enXY9/sPkHHdkac6Nf3V/1+0DhYUbmYD82XKSVd6i4E4lREi2PSP4kDtgOijc81LQMAvTIXGS6UchFKhhBMBCtate6+8G7c99J9TceTpNMZalxGECKTSolTdLESpFzwMDRkhlbbeS3XnREnlDIlrhi7AtOB6arpoc3giXnQp+ur+n2ldNRIKoJIKlKeiqo2kuWigKnAFA45DomWNcI1LQMAlVwFOSMXLODXFrJBJVehT1t+b7zrzHchnU3jt8d+29TYq1dblmUPH4KQkrVrrfwHCQStZh6yWbYj36gcEQf69f3o1/VjrGdMsLiLRCaBYCKIfl11y0Ult4g9bIeMkZWd16XuQjqbXjT1FsQknU1jNjiLcDKMo56joszB1bjgEDJjZC44h0HDYMV6FEqZEh8976O478X7mhq7k9NQpwPT7RaBIARBStcjKRc82O1+xOMLNR3+PP1nfPjRD7dRohzOiDOf9rllxRbBlAtXxAUANS0XA4aBsmwRe9iOfl0/FLLizJouda4hFQV15uIVsmwWm6ybRIu7KIy5AIRVLmwhW8VOuRwfOfcjeH7mebzheqPhsaemXB2b8v2683VEUpF2i0EQLXPypEuyuUi54EGplBeVJWYYBr8+8us2SpSjMHjywpUX4oXZFwQZ1xV1wagyQqPQVD2mUgnw+dB8WaYIAOgUOihkClIuAEz4JrDCuAIXDV+El+dfFmUOrmkZh06pQyQpzINxNjiLFcbqyoVFb8H7Nr4P39j3jYbHVquVHVuhczY4S9YLYkkgZVkFUi546O/vglqtzP97jXkN3FF32x+WzogTFr0FAHD+0Pl42fayIIGn7qi7ptUCqBxzUan0N5BTxqgEeI6pwBRGu0exeWAzXp1/VZQ5KrlFhIq5mA/Pl2WKlPKx8z+Gn7z+k4Y74Q4NmTu2t4gtZMNMYKbdYhBEywwP90o2FykXPMRiySJz7YB+AHqlHid9J9soVa70N+cW2TywGZFUBEe9rfvxXRFXzUwRIFfnwhfzFZnbKxXQ4qBaFzmm/FMYNY3inMFz8Kr9VVGykMSOuajlFgGAcwfPhVlrbtjtE4kkOjIrC8j93WS5IJYC4bBwNW/4IOWCB58vUtRbhGEYrDGvwXHv8TZKVWwp0Cg02GTdJEjchTvqrhnMCeQCOrvUXej7jz5c/L2L8cnffxJ7p/aWlf7moFoXOSb9k1jVvQobrRsRSUZw0i+8gipmzMVcaK6mW4RjzDyGE94TDY3tdAY6NqhzLjSH2eBsu8UgiJax26UrC0DKBQ86nbosRW6sZwwnfI1tnkLjiDjybhFAuKBOV9TF6xbRKDTwftaL/dv347azb0MgEYA76q5qMifLRY5J/yRGu0ehlquxwbJBlKDOwjoXgPABnXxuEaC59WE0ajs25sIWspHlglgSmExayebqzKYZHUR3t67ss7U9a9tuuXCEi0ttbx3eintfuLflcV0RV5HSUg0ZI8OG/g3Y0L8Bt599e81jqZBWjgn/BFZ3rwYAnDd0Hl62vYwb198o6ByFdS4A4QI6M2wGtpCtZll4jnU96xouFNbXZ+Q/qE3MBGZ4FW6CWAz093dJNhdZLngIBmNlVc2aMfsKjSPiKHJDbFmxBYcch1oO3qvHctEoZLlYqHGxqnsVAODsgbNFsVxUcosIEdDpiriQzqZ5Yy6A5iwXXm+4I2MuYukYfHEfBXQSSwKPRzr3NCkXPITDcaTTxcrF2p61bXWLhJNhRFPRIgvDWvNadKm78Jr9tZbGriegs1Eo5mKhxgXX8OucwXPw8rwwGT6FVHKLCNEZdS40B7PGDK2C36w6Zh5r2LIXCEQ7MubCFrIBAGaCMx2p/BBEI/h80hUzJOWCB7NZD5Wq2Hu02rwac8E5JDPJKmeJizPihIyRFVkYGIbBuUPnYv/c/pbG5iv93QxGNaWiTvmnMGAYgEqeKyV/lvUsBOIBzASFfSMWK1uk3ngLIJeuHU6GGypJb7GYOjIVdS44B5PahHg6DndMuqZPBCEGAwMmyeYi5YIHrVZVFtC5qnsV5DJ529JR7WE7erW9ZdUwt67c2nITM2fEyZst0ijkFsnFW3AuESD30F/fv17wJmbBRFCUbJF60lA5ujXd6NP1NWS90OvVHRnQOReaw+l9p8OsMWPKP9VucQiiJQyG6sURhYaUCx48nhASieKW63JGjhHTSNuUC1e0ctDleUPnYb+tectFls3CF/NRzIUITAemMWoaLfps88Dmlt1YpZRaLrRKreSWCyDnGmlkfdjt/o51iwwZh7CyayWloxKLHpvNJ9lcSz5b5I5b77haBln+VS6pSv7q/vvvT9U6p5BEIg2drnzTGzO3Lx3VEXZUrIa5wbIBE74JpLPpMqtGPXhjXmTYjCgxF8tdueBqXBRyzuA5ePLkk4LNkc6mEU/HRXGL1FvjgqPRoM5YLHkqpqGzrBdzwdzfncqkKB2VWPREo9K58pe85YIB8y2AvYT7L5lMyhs532IxQaNRln3eznRUe9hesWDVkHEIWTZb1vejXlxRF1RyFUxqYf1ypFxUVi7OHTpXULcIFzTLNYsD2uMWAXLr45jnWN3HDw/3dmTL9dngLFZ2rcSIaYSUC2LRMzoqXUr1krZc7Pjgjl4wmNj5/V0fb3YMhaLyhrfGvAZPTz7dtGytUNhXpBC1XI0ebdcBhJwAACAASURBVA/mw/N11SMoxRURPg0VAIwqI0KJ5Z0tMuXP9RUpZJN1E1xRF+bD8xg0DLY8RzgZBgDolfr8Z+0I6ARy6+OPJ/5Y9/EKRUM6v2TYQja887R3IstmcchxqN3iEMuEwpo4QqJUSrfOOu9VQUjkWMuwMN95644/7Lh1x+4dt+y4tNEhbDYfYrFyU1I7LReOSGW3CJCzXswF55oa1xV1CR7MCQAmjanhRlZLiQybwXRgusxy0aXuwmm9pwlmvQglQlDL1fmMFEA45YJ7g6+XdT3rcMxbv+ViYsLZkS3Xub97tHsUUwEK6CSk4T+e/w8c8RwRfNzjxx2Cj1mNJa1cMFlGwQDPQ8bcChbfZxjs2b59e9mruccTsjqdwfzm5nIF4Xbn3rRZNtdfJBDIbdCxWBJOZxCDmpWY9E/CH4jA6Qzm+494vWE4nUGwLAuWZeF0BuH15t4ok8k0nM4gQqFc3YFIJAGnM4h4PKe8+P1ROJ1BpNMLcrhcOXdCOp2F0xnMHRNxokfVC6cziEgkAQAIhWJwOoOw6gcwH56vS45gsFiO+YAdfbq+Ajly9T3c7lBejkyGkyNX9TEeT52SI14kR+H1SIUZhBIhsCzgdAbh8VSWIxrNycEpc4EAvxw+X7EcXGOeUCgOpzOYD8blrgcXNJiTI/cbp1KZuuTgiqm53SE4nZXlSCSK5QiH43h94hjS2TRGTCPw+SKn5Mj9xmd0b8BfTr5YJAd3r0WjuXuN85OWyuHxLMiRzWYx43Dk4y04OZi0AtFUFOFw/NS9lrsenBzcPe90LtzzpXJ4QwH44350y3MdFYPB2Ck50kVysCyQzebutR7GCnfUDVfQc+qeX7gehXL4/Tk5uEyRwrWXThfLwa097p7n5ODuNY9n4Z7n5OBfe8VylK49e9gOi84CfcaMKd90RTkq3fPi7gGla69+OaqtPU6ORtZeqRwLay92au0Vy5HNsgV7AHevNb4HVFt7fHvAwtqrvgfUu/YK5chm+feASnJUW3tzdg/2vLEHT558skCO4nu+8h7AVpSjcO1lMpmqe4DLFUQwmFgwe7bIknaL7Hxo5/MAnj/1T9tdt+74vTqp/DsA3ys8TqNRRrNZ5Dc4rXbhzW9wsBuRSCLvHlEo5NBqVTjdcBqSmSRcCQcGtEN5f7FarYRSyQWmsadSWXPjymQyaLWqvGlKqZSf+l5+6lwF5HJZPt+/UA6ZjIFWq4JCIcuV/jYOloylAMBghXEFbCEbNBolMpmFADmtVpUfVy6vLIcn5kG/vr9ADhl3ffJyMMyCHMVj5W6lXE0Qpujc/q4+xNIxpNlUTTm4a8uZyFUqBWSywuuhBFfHqFQOhaJUDjmAhTRi7npw2Y6FcnDXtlwO7jctlUOVL6jEncvNU+naOpJzsBqs0Cq0YNVJKBTy/L123tB52Gf7SxU5ZCVyKIvk0GhU+Y2SYRgkmYVgTk6OLq0B0VQ0/xsXjlUoh06nyv//ghy5Y11xB+QyOVaYhvK/C8MU/sY5OQqv7YhhJYwqIyaDEzjDNH7q98jdp1otiuSQy+Xo6zPm5+XGKbznC38X7vpwchT+xrnrwYBh6l17xXIU/sauqAuJTALDphEwaSUcUTtS2VSZHNza465H8R5Qeq8JswdUvtfK115uDwAApq49oNraa2YP4K594dpjmNrXo3TtcXIs7M3lewD3Gy7sAdzfULwHqNWKU/c8KvwufGuvfA8oXHt8e0DpvaZQFN9rhXLsnX8KnpgHvzv+O2zf/JGy3yW39irtASi65zk5FtaeHENDPVX3gNw8bN3JDnwsaeXizlvuvJ1h2PH7Htx19/bt25VsEpsZVvbPpcfp9ZqigIDCXOBMJgO9Xp3/MZVKef6mGTAMYC46jXWWNQVjqQtGYmA0LoylUMiK/q1SKYoKdBVuJKVyyGQLYzkjTgyZBorG0miU0GiUWGEagi1kg06nLhqr8Fi5vLIcvoQXfbq+uuUovR5A7oZVqxc2Ip1OjUFZzlgUTATRa+zllaPa9dDrq8uhUMhhNNaWo9HrwaHRqKApSA8v/I0Zhl8OV3I+n4aq0xX/TVtGz8UDh+6vUw5l0SZfKkdWkcwHc3JymEJdiKaiFa5H9d+4VA5nLFdqXqNW1SUHd+5q82pMBSdx/srzCq6HAmp1+W+cSKShUilK7jVZzXutlhxCrL3jYQ+MKiNMmi5oB3LnzgXnsKp7VQNyQJQ9AOC/Hq3c80LvAULJsVj3gFprr1SOXx7fg3esfgeenXoWkLMV9/lm5eA+ryTHqd9YsHSSJe0W0WQ1D7MMLrjztjseVyVVUwDz3H0P3ddQ/qjLVV7ngmNdzzrJ4y4SmQR8cV/V9uZDxqF8yeJGqRYo2ipGtREMmGWbMTLhn8Bqc+XgrDXmNZgOTCOdTbc8T2nTMkCYmItG4y04Gom7sNm8eVdRpzAXWsiQUclVGDQMUsYIISqemAePHnkU911zHzQKDZ6ffp7/pAaYmfEKOl4tlrRy8Z8//M/Izu/vukiRSt+ugGL9zgd37mh0jJw5rHLu/RrzmoqFgliWxYR/onGB68AVcQFAVSVgyDiE+dB8U2OLUfobyBUd06v0y1a5mA5M53uKlLKyayWybLZphbCQcDJcVJ0TyCkX8XQcWbb5B3ejmSIc1dZHJXLukM6qcWEL2Ypqe6zsWil4uXaCKOQXh3+Bccs41vevx7ZV2/DUxFOCjl9qrRCTJa1ccHxj9/3z33jwG/5mzu3tNRaZtAqpljHy6yO/xnNTzzUzHS/2sB0mtQkaReUyrkPGIcyFmssWEaP0N8dyrnUx4aueVqaWqzFgGBAkEyGUDBU1LQNyygULtqXOqI3WuOBoJKNqYKC743qLzAZni/7u0e5RslwQovLgaw/i1s23AgCuXns1fnf8d4KOPzRkFnS8WiwL5aIVIpFEPnK7lGpvZvfuuxeOiDgpP9VKf3MMGYfgiXqaaqrmjrpFsVwApzqjLtNaF1OBqaqWCwCCFWgqLf0N5JQLAC25RqSwXIRCsY7rOlr6d1MJcEJMJvwT2D+3H+/d8F4AwOVrLser86/CE/MINgeXlSMFpFzwEAhE8yl3pVQqcfzi3It4dupZOMLiKBfVSn9zDBgGwDAM5sONu0bcUbfgpb85jKrl2Rk1y2YxE5gpq3FRiFDKRaWYC65FeivKRaOlvznGesYwG5xFPB3nPdbtDnVcbxGu9DfHcNcwWS6IlpkKTFXsGPyjQz/C5Wsuz8fTDXcN47Te0/DUSeFcI1zaqhSQcsFDV5e2alWzMfMY/HF/kWb51ee/Cq1CK5rlwhFxVA3mBAClTIk+XV/DPvxQMoR4Oi6q5aKTlAupCiLNh+eRyCTKqnMWIpS5vVLMhUKmgEquaovlYsQ0AoVMUVf8UU+PoePcIoUBnUDu75kJUMwF0Rqfe+pz2PrA1rIiWbsP7cYHNn2g6LMrxq7AH078QbC5e3sN/AcJBCkXPBgMmqqliXu0PTBrzDjhzVkvjnmP4bGjj+GuC+4S1XLBl9HRTMaIK+KCjJGhV9vLf3ATdJJykcwk8fc/+3tJ5pr0T6Jf119UkrsUod6IQ8lyywWQc43EUs2ZQ1mWzQU2NhFzIWfkWNW9Kr8+amEy6To+oHPYRJYLojXecL2BXxz+Bbat2oaLHrgIz03nYvNenHsR8+F5/K8z/lfR8VeOXYk/nqy/jD4fZrNgNbJ4IeWCB78/mq94V4lC18jX/vI1vOuMd+HClRc23TyMD2fEWdMtAjSnXLijbnRrupvqploPnaRc7HxpJ/bN7pMk8n/KP1XTJQIIbLkoCegEWktH9ca9iKfjTblFgPq7B3eaWySejsMT9RRZbEZMI/DFffkGcQTRKF965ku47ezb8MDfPYAvbfsSrt59NR7+68PYfWg33nPme/JuTI63j74d9rAdb7nfEmR+rsqqFCzpIlpCEI0mior+lDJmHsMJ7wk4I0784OAP8NyHnkMykxTVLXLxyMU1j2nKciFSXxGOTlEuHBEH/t/e/weNQoPXHa9juGtY1Pkm/ZM1XSJA7qE15RcgW6RCzAXQmnIxF5yDQWUo6rTaCGM9Y3VljIRCsVNvVZ1hvbCFbJAxMgwYBvKfWXQWaBQazARmsL5/fRulIxYjr9pfxePHHsexu3K1X+7achdGTCN4/y/ej0w2g9++77dl5xhUBlw0fBH+cOIPOKPvjJZlCARi6O9vbi03ClkueOjtNdRWLk5ZLu576T5sHd6KcwfPhVWf66sgRGGkUuopdNWsW0SseAugc5SLzz31OVwyegmuGrsKf3X+VfT5KrVaL2XENIJQMgRf3NfSXKFkqCzmAmhRuWgymJODU775yKWids52NBfKlWwvtOQxDIOVXSvJNUI0xRef/iI+et5Hi6xh159+Pf50y58wbhnH20ffXvG8K8euFCzuglJROwiun0M11vasxUH7QXxz/zfxmYs+AwCwGqzIslm4oi7B5eHLFgGad4uIlSkC1K9ciKGQcbw8/zJ+9PqP8PWrvo6N1o2SKBdTgal86e9q9Gp7YVAZWn5oVUpFBVpTLpoN5uRY27O2LrdIYU+RTqA0U4RjxDRChbSIhnlx7kU8Pfk0Pvu2z5Z9d/7Q+Xj+9uchYyo/Z64cuxLPTD7TVHmBUqiIVgfhcATyXeQqMWYew6v2V7GyayWuGrsKAKBX6mFUGQUP6sywGbij7prZIkDnukXq8VW/4XpDlPlZlsUnnvgEPn7Bx7GuZx3GLeN43fm6KHMVUo/lAhDGNRJKlBfRAlp3izQTzMkx1jOGSf8kMmym5nEzMx5Jyn/XW6m0mlI13DVcMWOk02p0EJ3FPz39T7hry11Vrc5KWeVCjQBw9sDZ0Cq1eH6m9VLgU1PulseoF1IueMhksjU3jrGeMQDApy/6dFG0u9VgFTzuwhP1IMNm6nKLNFoCXGy3iFFdX52Ll+ZeEmX+n/z1JzjpO4nPX/p5AMC4ZRyHXYdFtZSwLMtb44JDiFoXYlkuWnGLrO5ejXQ2zfu3pdMZSPF85qLz+ShNQ+Wo9jvt3L+TFAyiIs9NP4cXZ1/Epy/6dFPnyxgZLl9zOf54ovWsEa5VuxSQcsHDwEA3NJrqpqQhwxBO6z0Nfz9enNpo1VsFzxhxRBzQKrS8wXVDxiH44r6GHiid4hYRQ7mIpCL47JOfxb9f/u/5N/vTek8DgLobazWDN+5FLB3DsIk/aHTU1FrGCMuyiKQiosRctOIW0Sg0WGFcwRt3MTran29JLSaPHnkUiUyC97hqbpFh03CZWyScDONLz3xJNKsbsThJZVP41Vu/wsd+8zF8cusn0aPtaXqsC1ZcIIildc0a8fb4Uki5aBGGYfDf1/x3mVlrwDAguFuknjRUINfUTCFTNFSlsxOyRWLpGF53CO+q+O4r38WgYRAfOGuhQI1SpsQZfWeIMh/HbHA217JbbeI9ttUaCpFUBFk223FuEaByJdt2MeGbqEuBrWa5qFST5P6X74c35sXTk08LJiexeDnuPY57nroHI/eO4K4n7sL1Z1yPu7fe3dKY3ZpuBOIBgSSUBlIueLDb/YjHawfScLEWhYjhFqmngBaQK15k0VsairsQs68IUJ9ycdx7HN6Y8C2BX5p7Cdesu6asSNO4ZVzUoM5GWpW3arng4lk6zS0C5KxERz1Hax4zNeVCJiN+zIU9bMezU8/yHlcroHM2OJt3gSQzSdy7715cuPJCPDP5jNDiEouMpyaewsZvbcRJ30l8//rvY/IfJ/Gv7/jXikp/I5g0JgQSjSsXpaX3T54UPsmgGqRc8KBUypsqSyyWW4QvmJOj0aBOV8QlulsknAzXDKg76jkKf7yp5rU1OeQ4hLOsZ5V9LnZQZyPKxYhppKWS5OFkGHJGXlaEB2heuUhmknBFXS25RQDg3MFzsX9uf81j1GqlJBU67WE7b8fiWlVJh03DiKfjcEZzvSF2H9oNo8qIr1z+FTw79SzFXSxzvn3g2/jEBZ/AIzc8gqvXXg05U7m6c6N0a7ob3htZlsV3XvlO0We1yioIDSkXPPT3d1VtuV6LAcOA8MpFHWmoHCuMKzAXrK/1eiKTQCAREN0tkmWzCCfDVY95y/0WfHGfoBt0PB3HW+63sHlgc9l3mwY24ZDjkGBzlTIbnK0r3gLIVem0h+11xQNUgiugVekBrVPqmmq57og4kGWzdd9z1bhw5YXYb9uPVLZ61tXQkFmS3iLz4Xn8efrPNWVxx9xIZBIVFUOjygizxozpwDQybAb/+ty/4v9e8n+xdXgrYqkYDjoOiik+0cHMhebw2JHHcMf5dwg+djPKxd6pvWVBoMPD4rR3qAQpFzwkEqmmUuSsBmvFznetUE8BLY5B42DdMReeaK7xmthuEQA1XSPHvceRzqYRTTffZKuUw+7D0Cg0WN29uuy7Df0bMOmfRCQVEWy+QmaDs3W7FIaMQ2DA1K0QllKpaRmHVqFtynLhjDhhUpuglqubkoljff96yBk53nBWD3iMxZKiZ4v4437E03Gks2kctFdXAmwhGwwqQ1VT9rApl47667d+jVQmhZvGb4JSpsTW4a11uVyIpclDrz2ES0cvxYhpRPCx67H8lvKTv/6krGlgNNp6rYx6IeWCB48njESi8XTFxeQWcUVd0Cv10Cl1rYhXE7VcDY1CU1P75vzyQrpGDjkOYdwyXrFAzXDXMIwqY82HXis04hZRypQYMg41HXdRrWkZ0LxbpBFlthYKmQLnDJ5TM5DSbveLXufCHrZDLVfjstWX1VQCqsVbcHDpqF95/iu4e+vd+WDubau2UdzFMiXLZvGdV76D7eduF2X8bk03smy27irHiUwCe97Yg5O+k0WWYJuttSrAjUDKBQ86nbqpFDmrwQpvzFvT/Noo9WaLAA0qFyLXuOBY27O2ZmCfWMpFpXgLIJfpI2ZQ52xwtqFMi1biLqoV0ALar1wAwAUrL6ipXBiNWtFjLuxhO6wGKy4dvbRmvYtqmSIcw13D2H1oN457j+MfzvmH/OeXrboMe6f2NvR2SSwNfn/i94in47j+jOtFGZ/LOKs3qPM3R38DtUKNaCoKe2ThJddkKo/JEgtSLnjo7tZBpWo8CGbAMJArAR4RLjp3JjBT1EipFo0oF2LXuOAYt4xXrQXgjXnhjrqhVWjhiwmnXR+0H8Qm66aq34tZBrwRywXQWnfUagW0gOaVi0ZifPjYsmILXpx7ser3fX1G0WMu5sPzGDAM5JSLqeeqxvbMBWvX9hg2DePl+Zdx55Y7i675+SvORyKdEDWOh+hM/ufA/+C2zbfVrLTZCgqZAnqlvu501B8e/CFu3XwrLHpLUY0ZqZqWARIpF++95r1feO+1N3y+8LO/f+cN29577Q2P3HjjjdKpUk0QDMaaqmrGFbsSyjVywncCnpgHZw+cXdfxjbpFxAzm5NjQv6Hqg/yI5wh6tb0Y7R6VzHIBiJcxEkgEEE6GG1IuWqnSWa1pGdAhlosVF+Cw63DVEvBeb1j0TAt72I5BwyDOGzoP0VQUb7rfrHgcX/rtiGkEOqUOd225q+hzpUyJt428jVwjNWi1OV8nMheawxPHn8CHz/mwqPPUG9TpiXnwxPEn8P6z3o815jU46Tu58J2HvwWDUEiiXDCyrB9g7rnuuuvyTv1sFtsBpm/Pnj2Nh7FLSDgcRzrdXMlUq164Whd7J/fi7IGz6259PWQcQjgZrstHJ5VbZNwyXjW+4ajnKE7rPa2pqOhqzIfn4Y66sdG6seoxGy0bRSmkNRuchVahRa+2/ujsVpQLUSwXDcT48DFiGkG/vh8HbAcqfh8IRJHNiq9cDBgGoJarccHKC6rGXdTjFrn97NsrrpnLVl1GykUNzrv/PFz/8PV44vgTS8Z99N1Xvottq7ZhjXmNqPPUW+vikb8+gnHLODb0b8h1JS4oYOfzCRcsz4ckykUylXkEgEqb0V4DALduu1UDhrmOAbtbivlbwWTSQalsLjdYyCqde6f24u2rKrfkrUSftg8quaqujBGp3CIbLBtw1HO0Ync/MZSLg/aDGO0erVkhc9wyDkfEIXgH20ZdIkCLlosOj7kActaLanEXkrhFQvN5t+IlI5dUVy54AjrXmNfgUxd9quJ321Ztw7NTzy6ZB6fQuCIuKGQK3Pzzm7H2v9fiy3/+suDFBqUkw2bwwCsP4CPnfkT0uUxqU11ukd2HduerEY/1jBW5RSyWJeYW+eUffukEgz+AxQ0AENVGrwYLhYJV/1yK+VtBr1dDoWjuMlkNwmWM7J3ci7eP1q9cMAyDAcNAXa4RV1Qay8Ua8xooZIqKQZ1iKBd8LhEA6NH2YIVxheDWi1aUi2bcA2JYLhoJIK6HLSu24MXZynEXUgV0DhoHASAfd1EJPsvFyq6VGDWNVvzuvKHzcqmuVO+ijFQ2hXAyjK9f9XXYPmXDF7d9EbsP7cbnnvpcu0VrmsePPY50No3rTr9O9LnqsVwc9x7Hftv+fK+rUrdIV9dSDOhkmd2Qse+8ddutGoZhb2SAX//oiR/Vl1fTRjyeEBKJ5jI+hHKLTAWmMBucxcUjFzd0Xr1xF66INDEXckaOM/vPrBjUKYrlwlE7mJNjo3Wj4HEXjWaKALkS4NFUFO5Y422RxYi5qLfcfL3UyhjJpaJK4xYBgK3DW+GMOMt6nhzzHoM35sVwV33Fz0pRyBS4eORico1UwB/3gwULs8YMrUKLWzbdgvdtfF/Nwnqdzg8P/hAf3PRB0QI5C6lnb9x9aDeuWHNF/j4vdYssyVTUmDz2awCI6cP/iwWuyzL4oVRzt0IikW560xPKLbJ3ci/Osp6Fbk13Q+fVq1xI5RYBKgd1ZtksjnuPt8VyAYjTY6QZy0WXugvdmu6mXCPhZLimWySZSTbUXj7LZuGKugRVLs4bOg/z4XnMBmfLvssV0RJXueCyRQBAr9TjnMFziqwXWTaLDz/6Ydx+9u0tlTyneheV8ca8UMgURfepQWUQrYidENTaF9LZNP548o+SWC2AnFukVgwdy7I5l8imhQaNa8xr4Iw484HUS7KI1mOPPRYFy/yCZZmvAoi5Iq7fSzV3K1gsJmg0zWmlQrlFGo234KjbciGRWwSoHNQ5G5xFPB3H2p61gikXiUwCR9xHFpVyAZyqdeFvvNYFV/67ElxxtEasF96YF+lsWrCATiC3OZ7Rd0ZF68XwcK+oLddT2RQ8UQ8GDYP5zy4ZLY67+NaBb+Gk7yS+euVXW5qLi7vIsM0Fgi9VfDEfzBpzkftLr9J3rOVi3+w+3PXEXTW/Z8DgwpUXSiKPSWOquTe+MPsCnBEnrj99odbGoGEQOqUu7xoZHZVmnwckrnPB5gI4V4Jlf/DMM880XvayDSgUsqZ9wUK5RZ6deraheAuOepSLLJuFJ+qRxC0C5II6S90iRz1HsbJrJXRKnWDKxWHXYajkKqztWct77EZLrtaFkG/OzSoXzXZHrVX+uxnlwhlxQi1X19UuvhG2rNhSUblQKIRp8FQNzoJYGENSWExrKjCFe568B9/622+1/DefM3gOsmwWr9lfa2mcpYYv7oNZay76zKAydKxy8YWnv4Dnpp6rGhT/xPEncOXYlYI1J+ODL6Bz96HdeM/69xRVWmYYpijuQqmURlZAYuUiK8tOAmAzcvZ+Kedthfl5/pbr1RDCLTIXmsNJ30lcMnpJw+fWo1z44j5k2IykbpET3hNFjbS4eAuguQY9lTjoOFi17Hcp6/vXI5aKldXhb4VWLBfNKBeOiKOq9Umr0IIB07ByYdFbBA+yvGDFBRWLaU1NuUVtuT4fnodZay7qk/K24bfhpO8kbCEbtj+2HdefcT3eedo7W55LIVPgkpFL8PTE0y2PtZTwxrzo0fYUfWZQGRBJdp5b5JnJZ7Bvdh/O7D8TP3+zct7B747/DlevvVoymfgCOl+ZfwXvWP2Oss/XmNfkM0YmJoTtd1ULSZSLbdu2KW688UatIiP7NBg88fPf/PyYFPO2G64EeKXUy3rZO7kX45bxhuolcNSjXMyH5qFVaNGtbiyeo1lGTaPQKXV4y/1W/jMxlIt64y0AQKPQYF3vOsGCOsPJMPxxv2TKRSwdw3RgGqf3nl7xe4ZhoFVqG+qM6ogIG8zJsWXFFhywHZDcZVAYzMnRo+3BuGUc2x/bjoP2g/jG1d8QbL53n/lu/PDQoggrkwzOLVKIXtmZbpEvPP0F/OOF/4jbz74dj7zxSNn39rAdr9lfw1Vrr5JMJr690ROrbIEuDeqUCkmUi35N/xgTQZRlsJmB7LNSzCkUg4Pd0GhUTZ1r1VvBgm2pO2qzLhEgp1zMh2rXuZgOTGPYNCx6GiAHwzBY37++KO5CFMuF/WDdygUAbLJuwsu2l1ueF8hZLVRyVVOupmaUi2OeY9AoNDUzHBrNGBG6xgXHRutGZLIZvOkqro45OtonaswFV52zlEtGLsFvj/0W9117X1MKfDVuGr8JU/4pvDD7gmBjLnaquUU6LaDzd8d/hzecb+BTWz+FGzfciH2z+8qCkH9/4vfYZN1U8Z4SCz63iDvqrmi9HOsZy7tFVq8Wfk1XQxLlYsOFG47JFPIVP318zwWP/PYRcRo5iEQq1Xy2iEahQbemu6W4i2aDOYFcME8sHYM35q16zExwpum0u2YpDaAsVS4CiUDL8Q+NWC6AXGqiUA+CuVCuN0U9LplSSpuXJTNJfGPfN/CV579S9ZwjniM4rfe0mgpio8qFkH1FClHKlBU7pCYSaVFbrhcW0Crk0tFL8e4z340b198o6Hx6pR7vP+v9+PaBbws67mKmkluk0wI6WZbFF57+Aj590afRrenGCuMKbF25FT9782dFxz1x7AlJXSJAbbdIKptCIB5Ar65cQS50izRbVqEZJFEuvvSlL2UffvTh+hpddBguV/N1LoDWWq87Ig4c9RzFpaOXNnV+j7YHWoW2pmtkJjCDYZO0ykVhMQc80QAAIABJREFUUGcyk8SkfzKvXJg1ZqSzaYRTzW84XNnvhpSLlVvx4uyLgpjrm423AHLNy1wRF2LpGH725s+w4Zsb8Lk/fQ57J/dWPect91s4o++MmuN2iuUCyNW7KC2mZbN5RW25XsktAuQyO3Zdu0uUObefux173thTU7lvlEbSiTuNSm4Rg8qAZCbZkutYSH595NeYDkzj4xd8PP/ZTeM3FblGMmwGfzz5R1yz7hpJZatl1fVEPWDBVrZcmMcwHZhGOpvGzIxw9yIf1BWVB7Va0VJZYqvB2nRQ57NTz+LMvjNbyuQYNA7WVi6CMxgxjTQ9fjMUWi5O+E5AIVNgVfcqADntHGit7fpB+0GMmEYaqgty9uDZSGfTgqSktqJcDBoGoZApsOU7W/CJ330Cn7noM/j5e39es9PmEfeRqvEWHFqFtjHLhUgxF0Au7qI0VVOrVfG65lLZ5pX8wuqchVj0lro7DTfKWdazsHlgMx46+JBgY257cBve/ci78ZO//qSj3vjroZpbBEBHuEaybBb/9PQ/4Z6L7ylK637Pme/BAduBvEXxxdkXkWWz2Lpyq6TymdQmRFPRiuvAHXVDo9BUrHWzqnsVsmwW04Fp6HTNufibgZQLHnp7jVCrm6++NmAYaNotsndyb9NWC45SM3sp04Fpyd0iG/o3YMo/hXAyjKOeo1hjXpNP51LL1dApdS0pF426RICcuf68ofPwwkzrrpFWlAsZI8O4ZRw3b7wZx+46hu3nbsc5g+dgLjRX9Q34iOcITu+rrVw0Y7kQssZFIdesvQapbAr/svdf8p8NDHTXVOJfnn8ZXV/uwsXfuxj/58n/g8eOPgZPzFP3nIUFtKRk+7nbcf/L9wuW5jwTnAELFvc8eQ8sX7XgPT99D548+aQgY4uNL+Yrd4so9QDQEYrST9/4KXxxHz563keLPh8wDODS0Uux5409AHIpqJevuRwKWXM9p5qFe/GqFHfhjrqrxgyp5Cqs7FqJE74TGBoyVzxGDEi54CESSSCdbt5cW80tctRzlHdzbCXegqO0tnwp7XCLDBmHYNaa8abrzaJ4C45uTTd8sebL1DajXADARcMX4S8zf2l6Xo5WlAsAeOHDL+Cei+/J56tb9BZY9daK2Swsy+KI+8iicot0qbvw4/f8GF95/iv5OhOhUKzmA/i/9v0X3nXGu3D7ObfDFXXhs3/8LCxfteA3R39T15zV3CJi894N74U9bMczU88IMp476sY/b/tnTHxiAn+65U9IZ9P4+gtfF2RssfHGvGVuEZVcBZVc1RHpqA//9WHccf4d0Cg0Zd/dtOEm/PSNnwKQPgWVw6gyQsbIKr54VQvm5OCCOoNB6ZqQS6t6LUICgSjMZj0UiiYzRgzWsqZY/rgfZ33rLCQyCRhVRox2j2J192oMm4bzD5JuTTfedL3ZdKYIxxrzmqpNuViWxWxwVnK3CLBQBryactGs5cIWsuGpiaew89qdDZ+7dXgrPv2HTzc1byGzwdmaXTX5KKzFwHGW9Swcchwqux9sYRvCyXDZNSylmYBOsZQLIFfv4kvbvoT3/fx9eO2jryHgTkOnU0MuL7de2MN2/PSNn+KVj7yC9f3rcdvm2wAAN//8ZhywHairNkW1bBGx0Sl1+MBZH8D/HPgfXLbqspbGiqaiiKai6NP1gWFylSHft/F9NYN9O4lKbhGgc9JR58PzWN29uuJ37z7z3bjz8TvxwuwLeGX+lbYoFzJGhi51V8WgTj7lggvqdDqDkjUvI8sFD11d2paqmlWq0vnLt36JM/rOgOPTDjx1y1P44tu/iLevejs0Cg1O+k7isaOP4WsvfA2Xjl7a8tvW6u7VVS0XjogDiUxCcrcIsBDUKaRyEUgEcM2PrsGlo5fiXWe8q+Hzt67cmluALaQOA61bLiqx0bqxYjzIEfcRrOxamTcvV6MR5SKSiiCSioiSLVLIZy76DE7vOx0ffvTD6OkxVHWLfPvAt3Hp6KVY37++6PPNA5vr6j7qi/sQT8fbYrkAcq6RX771y5ar9bqjuYZ2hRkBrcR0SU2lgE6gc9JRq8XlAECfrg/vWP0OfPQ3H8W4Zbyll4dWqJaOymu5MOcsF729lVsEiAFZLngwGMpNZI0waBwsc4v85PWf4OaNN8Oit8Cit+D8ofNbmqMWYz3VC6hMB6bRo+2p2pNCTDZaNuJXb/2qYqaDWWOGL96YWySSiuDKH16JFcYV2P3u3U2lgVr0FqzrXYfnZ55vSjkBcm+X7qhbcFfTJusmfHP/N8s+P+w+jDP7z+Q9X6/S161cOMIOyBiZqJYLIPcm9uP3/BibvrUJD771HXzigk+UHRNLx7Br/y7sfvfusu/OHjy74jUpZT40D41CU+bvl4pxyzguXHkhvvPyd/D5Sz/f9DiuqAtd6q4iy9agYRCOiANZNtvUPS8VsXQMsXSsYqqkQWVAKBFqg1QLsCzLa926eePNuOVXt+Cei++RULJiqr148TWfXNuzFg//9WGYzbVfQoSkc+/GDsHvjyKZbD79y6K3FL1ZuKNuPDP5DG5Yf4MQ4vGyuns1vDFvRVNaO2pccKzvX48DtgNwRpxY17uu6DuTpnaxmFIybAa3/PIWpDIpPHzDwy21P75w5YXYN7uv6fNtIRvkjFzwt2TO0lMal1DJ8lOJRrJFnBEnerQ9kvRM6Nf147t/913c8+Q9eGl2f9n3P33jpzBrzLhizRVl3220bMR0YJrXyuWIOEQLTq2X28++HT96/UctjeGJesreTi16C9LZtKDprmLAxVBVyuDSq/Rtt1x447lKyrWsddedfh1UchWuHLtSQsmKqVbrwhPz1CwCt9q8GhP+Cbhc1buqCg0pFzxEo4mWeh5Y9Vb4434kMgkAwM8P/xybBzZjjXmNUCLWxKK3wKAyYMJX3jejHcGcHOOWcfjiPpjUprKNv1G3yMef+Dhes7+Gx9/3OLrUXS3JddHwRS1ljMwGZzFoHBT8wbyhf0PF/if1BHMCjblFxAzmrMS1667F9g078M6f/C2Oeo4Wffdf+/4Ld11wV8W38gHDAKwGa800XaB6AS0puXjkYhz1HEU8HW96jEqm725NNzQKjSANEsXEF/dBo9BAqyj393dCfxF72A6dUlezaZ1ZY8YN62/A20beJqFkxdRyi1SyCnGMmccQTAQx4ZyteozQkHLBQ2+vAWp1894jThPm/PiP/PUR3DR+kyCy1Uu1uIt21Ljg6NP1waq3VnzrbkS5+MvMX7D70G787v2/E+QBsnXlVhywHWi6qM9caE7weAtgof9J6YP0LfdbvDUugMaUCzFrXFTjy1f9K25YfwOu3n11vgvlc9PP4YTvBG7dfGvV8zZZN/F2H21Xpkgho92jUMqULfV4qOZXb6VQn1RUqs7J0QkBnfUqoP955X+2ZBltlWqWC76Yi25NN3q1vYiq60/fbhVSLnhQq5WQyZq/TGq5GmatGfawHXOhOTw3/Rxu3nizgBLys7ZnLY57j5d9PuWfaptyAeSCFCvVZ2hEuXjy5JO4Ys0VdbVWr0smy0ZoFBq8Mv9KU+eLWTdkk3VTkXIRToYxHZiuK+aiIeUi7JD8YazVqrDr2l24bPVluPwHl8MT8+Brf/ka/uGcf6hYGIjj7MGz8ar91Zpjz4fnMWQcElrkhpAzcoz1jOGI+0jTY7ij7ooF9QYMA4tCuagUzAkARrWx/cpFeL6ubKJ2ZBwVUjPmgqfY4ljPGOZijXdcbhZSLnhwOAKIx1urx87FXfzi8C9w4coLJb9BV3WvwqR/suxzMbIaGmF9/3qs61lX9nkjyoUQtUAKYRgG5w2dV7EteD3YQjbRHmQbLBuKMkZO+E5Ar9JjyMA/n06pQyxVX467M+JsqSpsM8zMeMCyLL71t9/CCuMKXPuja/HE8SfwsfM/VvM8LkW3FmL1SWmUakp+vVQzfVsN1pYznMTGH/dXTEMFcpaLdsdcdIJ1qx5MahOCifK4CT63CJBLR31lQrrWXqRc8JDJZFuursdV6Xzkr4/gpg3SukSA6oW02ukWAXJxBK24ReLpOF6YeaHl+gGltFJMS0yF7SzrWUWFtN5yv8XbsIyj0ZgLqR/G6XQGLJsrqvSLm34BALhq7CqMmcdqnrfJuglvut6sWRq8XdU5Szmt9zQc8x5r+vwl6xbpgOZli0a50JjK9sZ4Oo5wMlzTLQLk4i4mA+Wxd2JBygUPAwPNt1znsOqt2D+3Hy/OvShZlkghXKRwIclMEvawvW3ZIkAuqLOScmHWmOtSLvbN7oNRbcSG/g2CyrV1eGvTQZ1iKhcbLRtxzHMsHxRYT08Rjk6PuRgd7c+3XDeoDPjtzb/FP1/2z7znnd53OhgwNd0N7SqgVcq6nnVlAauNUFW5aKLWBRdgLhXValwAnRPQWa3GRSdRKaCTq3/Cp1ysMa+BKy1d/9AlX+fif3/oQ8ZIRnsNwzBJZUT5+3v33Ctd/dNTWA1WPPDKA4IUxWqGNeY1mPRPIsNm8lkMc6E5AMCKrvYUgwFyZv5KWQD1Wi6ennwa21Ztq+vNvREuXHkh5kJzTaXqiqlcrO5eDZ1Shzdcb+DcwXNxxFNfpgjQhOWizambfbo+3s0SyMUyjFvG8Zr9NYxbxise0ylvpaf1noZjHuEtFwOGARywHWhorGennq2Y3isW1apzAjnl4kSy+UBXIZgPzeMdq9/RVhnqoVJApyfmgV6pr5iJUwhXAlwqlrTlYvv27cpoVvscgBsBXJHSJR5tdAy73Y94vLV2wAOGAURSEckDOTlWd69GOpvGbHAhDWk6MI0h41B7I5/VporBet2abgQSAWTZ2inAT558En+z+m9EkWvcMo7np59v6LxEJgFH2CFaei/DMEUxBoddh0VRLsQu/V2JqSlX0ynftYI6E5kEPFFPR7yVntZ7GubD8xV95vXgirqqBnTOh+brHscZcZa1vBebjs8WqTOgs91UevFyRVx1KeJre9bCFrJJFt+ypJULVUp1ExhM7Xpo1407H9y5AwzTd+cH7qxcPL4Kcrms5Tdjq94KpUyJ60+/vqVxmkWj0GDQMFhU62ImMNPWYM5adGu6kWWzCCWrV+2LpCI4YDsgaDBnIc0U05oPzYNhGFE3Ka5dPcuyOOY9VlcBLaB+5SKdTcMX90muXCgUcjS7zGoFdXKBju22xAC5TAO9Ut9UUCfLsvBEPRWD9ix6S0MBnUc9R0V5g82wmaop3LxuEQrorItKbhFPrPJ9UcqQYQj73nuI18IhFEtauQCLDWCZheYDLHOYUWTPbWQIq9UEjaa1t3urwYq/WfM3dWmXYrHaXFzrot3BnLXgWgvXco08P/08+nX9dcccNMpVY1dh96HdVd+Ik5kkPvKbj+DKH16Jj/zmI/j3P/87Hjr4EPp1/VDJW4vRqcW4ZRyvO17HXGgO0VRUcOXCFXUhy2YlVy6Gh3ubTvneZN2Eg/bKPUbsYTt6tD2i/ib1wjAM1vWuayqoM5AIIJVNVXWLcL9bPRzxHGmp3kY1JnwTmApMVfyulluk3QGd8XQc/rh/cSgXFdwifDUuOBiGwZYzxyUrE7/ElQvWyoCd5P7JMOw8gIbuoEQihWy2+QqdQO6tqR1ZIoWsMa8pCuqcCbSv9DcfSpkSBpWhZtv1pyefxmWrhc0S+f/bu/Pwts46X+Dfo92SrMV70iy14+xpWqYdSmHKMrRskzJlKe10aBsKhKEJZRuYZxbuLeVeZijDlEsTyu0wdH2AkqEsLTBM2TqlQ5dLadOmcTZ5S2xrsyRr3865fyhHtmRJR7J9jmz5+3me/GFZ0vnFOu85r9739/7eud69/d3469f+Nd58/5vx3ERpWepoJoo9396D30/8HtfsvAYdbR34w9Qf8NiJx3BB7wWqxQTMrhgZCgxhvWN9cVt2JW3G+sp/e2Ne2Iw2zfebSSYzWOiirN29uxFIBDARnZ+sthyqc861uWPzgvIuAokAdIKu4tRCr60XOTFXTOxTMhQYwunppe9cHA8er1gJGKhd56LZCZ1TsSlN9tJZCk6zE5l8BsncbOpgvZ0LAEgkFjfF34iW7lxIAo5IkIoZiyLQIeRxtPx54+PBQY/Hi2w2DwAYHvZhZMQPAPD5ZuDx+DA1VfgWPTOThMfjRSgUn/N7L5LJjPxe8Hi8EEUJoijB4/HCkLDj6m1XI5HIwOPxFuu7T0/H4PF4EY0WTpTJyRA8Hm9xL5O5cWQyOXg8XkxOFuKIRkvj8PsLccgnT3kcbvTg5bPHABQu5EOTJ+HWF+ZvQ6E4PB4vZmbkOMIlcYyM+DE8XBh2zWbz5+IInYsjBY/Hi+npwjePQCB6Lo5CNvqZM9PweLzFJb0ejxfj48FiHB6PFz5f4e8RDs/G4bK44Jk4A4/Hi3Q6W4zD4ynE8SvPr7DLdjEmJgpxxGKV44jHC3GcPTs3DsDj8WJsrHAxTqWy5+KInIsjAY/Hi49ecCv+9vK/xZUPXInvP/NTpNNZTMWmcNn/fR2SyQx+vffX+MDum/Hh/k/gXy67G899+Dn84F2PwuPxIhgsTOkEg5XjyOUKHVaPx4vR0dI4vN5CHJFIIY5IpNAp8HojaE8WCiY9OfYkNtoH4PEUVgnkciI8Hi/Oni3sMRGPp+HxeBEIFOIQEwbkpTwmpgvPn5gInYsjfy4OH0ZH/cUaFx6Pt3jOy3GEw4lz53wEHo+3WP9lbCwAj8cLSSos3fZ4vDhzpnIc8jkfi6VK4piYCEEUxZJzPp3OlcQht71wuLTtGUULBtwDePylJ8/FIRXjODZ+Gmva1yCRSNfV9rJZ5bZXfg2Q216ta4B8zp/vGMDzo0eKcchtbzaOym0vkAigo60Do8OBOW2vEEcurkOboQ1DZ06XtT05jtK2dzxwHBPRCbxycrTY9sqvAVNTytcAue3J14A/jB2BJ+SZ1/bOnJlGIBaEy+wqxjHb9jKYCWQRSZZeA+RzXo5DvgaMjs5eA3K50jjka0AwWPka8NLpk/Pa3thYAJOxSXS1dWNsJFiz7c0950dHA3PaXr6s7clxlF4D5HN+9hqQL8YhXwPS6crXALntZWYKt2xvpHBujo0F4JkaQ5e1q3jOV7sGBIOV25583yvc52KVe4BU6sBNB153YO/+XwPAR6//qHv/3v3D+2/cP29ySpKkX0pVhEJxKZ3OVvv1ivHAiw9Ir/nma4o/7757t/T9V77fxIhq2/X1XdIPjv2g4u8iqYhkuN0geUIeTWL5yn9/RXL8o0O6/4X7pf6v9kt/+f2/lNK5tCbHrmT9v6yXdhzaId36s1sbet3Wu7ZKjxx7pOZzHnzxwZLzRCt+/4yUz4sLfv27H3639MUnvzjv8c//5vPS+x95/2JCW1L3vXDfgv6+jx5/VNp2cFvV3/d/tV96/PTjdb3Xlru2SLgN0su+lxuOo5Z9j+6TPvv4Z+c9LoqiZLzdKA0Fhiq+7rmzz0nuf3Iv6tjJbLLm7xPZhPSdl75T8XePHHtEuvDuCxd1fC0ZbzdKx/zHij9f9+/XSbc/cXtdr/X5IkpPWbIKgC09cuFNeJ8GJO/H9u5/Vm/SHdNJuPPQA4caKq7ucllhMq38Fbvl+4uMRcaWbc4FUHs56pNjT2KdYx36XQ3l5i7Ypy77FG5/0+3Y+8O9eM+O9+DBdz3Y1Dn8C3ovwCv+VxrON3nH5nfgpyd/WvM5zahxAQBdXe3Q6RaeOH1R30UV9xhZLgW0ZIuZFqk19N1rr6+QViafgSfkQbupfcmnRoYCQxWnRaKZKLJiVtWETqWKuieDJ0sK0M01GZ1cFquJ6lWed9HItEh39+I2dmxES3cuDh8+nD9439evk3TC1VZdcvNd9x/6WqPvEYulisNXK9mAewC+uA+xTAzRTBThVLhpO6LWo1bn4tfDv17yqpxKPn7px/Hcvufw5Su/vOR1NRq1u3c3AFTcl6UWuXMh1Uhu0HpHVFkkklhUJdxqSZ3LpYCWbHPnZgSTQQSTjW0gpdi5sPXWtTPq6dBpGHQG/MmGP1nypM7jgeMVV6GEUiEIEGomdGbymQVvFggU6nbUjC14HK/4X6n4u5WyUkRWfm1spHMhT+VpoaU7F7KD3zo4cce3vlV9XWMNMzPJ4pzUSrbGvgZthjYMh4cxHhmHxWBBj3X5JjDV6lz8avhXqiZzVnPxmoYWGqlGLhZVb40L2eUbL8dMegYveKvvIuqNeZuybHN6OgZRXETnou9CnJw+Oe8b8HK7cXRbu+G2uCuOXkiShN9P/r7i65RuIH32vrqqdB4PHMdgxyA2d25e0pGLcCoMb9w7rxIwUFiGajfZq9bUkZOHFzN68cTIEzV/fyJ4Akd989LtACy/c0RJ+XLUYCJYd+dCzkfRwqroXCyG02mF0bjyp0UEQSguRx2LjGGdY13Tv4HXUq1zMZ2cxoveFzUfuVhOdvfuRrupva4Ny+Yy6824YuAK/OTET6o+p1kjF4udFtng2ACn2YmXvKVD38tttQiAqstRnz77NH5+6ucVX7NU0yJyVddN7k1LOnJxPHgcZr0Z08npee12OjldddQCmO1cLHQ5ajQTVdzFWK7tMXeVhWylFNCSLWZapKeH0yLLhs1mhsHQGn8mOe9iOde4kFXrXDwx+gQGOwaXbQEwLWzt3IpdPbsW1DlUyrtoxqZlANDe3raozq4gCLiw78KSvAtJkuCNa799vJJqe4w8+OKDVW/4SzUtMhQYwtbOrdjUsWlJRy6OB47jVWteBZvRNm/0IpQKVa3OCRSWnpv0pgV3LvxxP0KpUM3O1fHAceSlPIYCQ/N+t9JGLuZeG+PZOJK5JDrblItoAYDDoU0BLYCdC0XBYLS4DGqlk3dHXc41LmTVOhe/Hfst3rBRnaqcK4VJb8LV265e0GvfPvh2PHv22ao1EZqV0Dk1FV7UtAhQyLv4xv/7Bj7y2Efwkcc+gg89+iGkcqlll6xXaY+RdD6Nh48+XLV6Zz3TInWNXASOY2vXVmxyb8JoZBR5aWmmfIcCQ9jWta2wSWJZUmet6pyyxdS68CcKyzKr5VQAhZELi8FScWpkOY5u1TJ32/V6Ny2Tyct2tcDOhYJ0Orfoi95yIXcuxiJjyzqZE6i+M+oR7xFc1HdREyJaXha6u+46xzrs6tmF/zj1H/N+J0lS06ZFCkW0FtfOrt11Ld42+Da4LW6sd6zHls4t+NIVX4LL7FqiKJdGpWmRn5z4CSKpSNXRhHqmRerKuTg3LdLvLuw3NBYZayz4Gu+7tXNr8RozV63qnLLF7C/ij9fuXPgThZGNKweuxFF/aedClET44r5l1wGtZe6264FEAA6zo+7Va1oW0Vr5yQQq6+5uh16vb3YYS0Ju+MlsEq/b8Lpmh1OTy+JCKDW/l/3C1Au47Y23aR/QMjPgHljwa6/aehUeO/EY3r/7/SWPh9NhZPKZpnyLW7u2Y8Hlv2WXrbsMl627bIkiUs/Wzq04HjgOSZKKU0H3vXAfbrroJtz7h3uRyCbmVV6ttmmZTC4BnhNzMOgqX9a9cS9CyRC2dW2DWW/Gesd6nJo+tSRLuocCQ7jxwhvhi/vmdS5qbVoms5vsC+5cyPuqVOtcDAWG0G3txhvOfwN+M/Kbkt8FEgFkxeyKyrlwWVzFES5/vPZ5UW79+tqfw1LiyIUCo9GwqESz5aTf3Y+R8Ehh5GIFTIuUb9DjixcqFe7s3tmkqFrDWze9FY97Hp83JO6L+2DQGRSHsNVgNhsWvHHZSjPYMYh4No6peGEaI5gM4uenf45PX/ZpmA3meTkLeSmPcCpcc3OqXlsvREmsWQL8RPAE+ux9xZ2IK40yLEReyuP09Gls7tiM813nz8+5qHdaZIGrRfwJPwQIOBY4VvH3J4OFDf62d23HMX/pc6ZiU00pd78YDrOjOC1S76ZlMrNZu12w2blQMDm5+C3Xl4t+Vz9SuRQ8Ic+ynxaplHPxku8lrHesh8uyvIa5V5rXrHsNAOB3478reVwu/a3VxkZzjY4GFrzl+krjMDvQa+st5l08/PLDuLD3Quzo3oF+V/+8qZHp5DRESaw5LWI32WEz2momdcr5FrJNHZuWpHMxEh5BXspjsGOwcs5FPdMii9i8zB/3Y2fPzqojFyeCJ7Clcwt29uzEcHi4ZI+dqdjUipoSAUqvjY2sFAFQLOGuBXYuVhG7yY5eWy8kSCtitchMeqbk2/VL3pdU3xhsNTDoDHjLprfMWzUyGZ1cEZs3tYLNnbMrRh548QHccOENAAo3/PIVI4FEACa9CQ5T7WWESrUu5KRL2Sb3pgVt/17pfftd/TDpTRhwD2AkPFKyQ2u90yKLSeh8/cbXwxf3VSxOdjxY6FRtcGyAzWgrGeFYaStFgNI6F43UuNAaOxcK1qxxwWJp/nbNS6Xf3Q+XxVUcGl2uXBYXJEjF4T+gMHJxQQ87F0th7pLUmfQMPv/E5/HhRz+MPz7vj5sSz8aNXdDrV8/laEvnFpycPokTwRN4fvJ5XLfrOgCFG375yEUgEUBnW6fiUl2lWhdy0qVsqZajzh0ROd91PjL5TMkOtfVMiyw2oXNr51b02fsqjl7IIxeCIGBH946SFSMrrcYFUFrnotGRi/5+7b48rJ7WvEC5nLjoLPblZMA9sOzzLYBCAxIglEyNvOR9qVidkhbnbYNvw8u+l/G5X38Om762CT87+TN8/33fx79e9a9NiacVSuw3Qq518eCRB/HWwbcWk/KqjVzUcwNRqnUxb1rEvTTTInM7LTajDb323pK8i3qmRRabc9Ft68aO7h3zcirkfBA5vp09O0tWjKz0kQu541kvLatNs3OhwOeLFLfZbQUD7oFlPyUCAHpBj3ZzO0LJwooRURJx1H+U0yJLpNvajUvWXoIfDf0I//bOf8PTH3oaVwxc0bR4xseDqybnAiiMXJwInsBDRx7CDbtvKD5ebeSi26a8IqDWtEgmn8FweLh0WqRjE6KZaHFW5FcFAAAgAElEQVS1xUKVd1r6XaV5F2qvFpFXTGzv2j5v5GIkPIKcmMOmjk0AgJ3dpbkZK63GBXAu2T0dgSRJDY9cyFu7a4GdCwVmc+usFgHOjVws82RO2dzEpdOh08jmsw3vp0HVPfTuh/DCX72Ad259Z7NDQVubaVmXo19qmzs34xX/KwinwiV//00dm4o3RFndIxc1pkVOTZ+CQWfARufG4mNOsxNd1q5FlwEvn26RtxkACiMHM+kZ5WmRxSR0zhm5KO9cnAiewEbXRpj1ZgDnRi58pSMXKy2h02lxQpRERDPRhjsXVqt2U/zsXCjo7GzXdPmO2lbKyAVQKKQl17o44j2CrV1bixcJWrzBjsGmrAyppK/P1VKdeCWbOzZDJ+hw3a7rYDFYio8PuAcgSmJJcat6axnUqtJ5LHAMWzq3zPu8BzsGF5XUKZfd3t69vfjY3OmWcCoMURJVG7mIZ+NIZBPotfXOm/IA5iex7urZhZHwCKKZwj6WKzHnQl4tF06FG+5crF2r3TLz5XFlWcbi8TRyudYZru139a+InAvgXOLSubnFl30vM9+ihUWjyZbKbVJiMViwzrEOf7HrL0oeN+qMWOdYV5ILUW8tg15bb9UpDrnWQ7nF1ro4ETwBt8Vd0vmZW+silAxBL+jhMNde6bLQ1SL+eKHGRae1E9u6tmEyOlmyqdfJ4Els7thc/HmtfS0cZkdxj5Gp2FRT9tJZDKPOCKvRikg6gmCysdUiMzPzN25TCzsXCiKRBLLZnPITV4h1jnUVLzLLUfnIxe7e3U2OiNQSCERbpsx+vfZs2YPXb3z9vMcHOwZLyoP74/66biB99j5MxiYr/u5Y4Bi2d22f9/hgx2DF7d/rVT4yAJTWzwilQnBanIojZAtdLeKL++CyuGDUGdFr60WntbNkaqQ8PkEQsKtnF172vYx4No6Z9AzWtje2u/By4DQ7MRYZQyafaahz4fPNKD9pibBzocBut8BgaI3y3wCgE3QrZm+O8pELVuZsXU6ndVVNiwDAZ177mYqPD7gHShIi6x367rH1YDo5XZKvIZOXY1Y8VllFzUZUet/zXedjKjaFVC5V1zJUYOGrRcqTXbd1bSvZ+fTk9Els7txc8prt3YXET2/MC72gX7Z1ImpxWpzwhDwQIChOOc3ldluVn7RE2LlQ4HC0wWhsnc4FgLo3uWk2efOyeDaOU9OncGHfhc0OiVTS0WFfVQmdQOEmXEn5yEW9nYs17WuKG3GVO+Y/VpIXUXKsRYxcVHrf9Y71MOqMGA4P17VSBFh4zkX5Rnu7enYVEzZjmRjOzpydN7JyQc8FeNn3MiaiE+ix9UAvrLzru8viwsngSbjb3FX3kqmks1O7+kbsXCgIhxPIZFpnWmQlkVeLvOJ/BXaTHRscKyMRlRq3GqdFqikvbhVIBOpK6GwztMFhdsyrdTEVm8JMeqbiyMUm9yb4E/6SYnWNKF8pAhRGRzc4N2A4VOhcKNW4ABa+WqR8Q7e5y1FPBE/AZrJhrb102kNeMbISV4rInGYnTodONzzq4vdzWmTZSCTSq2r9/XIidy7k4lmr7ZvtarLaEjprGewYhCfkgSRJSOfTiGaidd9Eem3zl6MeDx7H2va1Favy9tp6YTPaFpTUmRNzODV9qqTGhUxOFA2lQnWPXCw0oXPutMjc5ahzK3POtbN7J87MnMFQYGjF1biQuSwunJ5uvHMRiTChc9no7LTDbObO9M0gdy6O+o9ypUiLKyxF5eUIKKzoimfj8Ma9xV1O6935stc+f8VItXwLoJDguNAVI6ORUeTFPAbcA/N+d77rfIyERxBOhevKuVhoQqc/UZrsuq1rG8ZnxhHPxnEieKJkpYisz94Hl8WFJ0afWLGdC6fFiZHwSEPVOQEuRV1WzGYjL3pNUj5yQa2rUESr2VEsDw6zA93WbpwOnUYgEYDNaEOboa2u11Yauai0omOuSiXH63E8cBz97v6KtWfkRNF6p0XsJjuyYhaZfGM7UPvj/pKci/Paz4PdZMdQYAgngicqjqoAhamRp8aeWrmdC7MT6Xy64ZELFtFaRvz+GaTTrVP+eyWROxdHvEe4YVmLm5gIMediDjnvotEiSb323pIS4KIk4pkzz1S9yQKVS47Xo1K+hUyu0lnvahGbyQYADY9elOdcCIKA7V3bccx/rOaIzc7unUjmkiu3c2FxAkDDnYvx8fm7xqqFnQsF2WyeF70mcVlcmIxNwhv3ck+RFpdOZ5lzMccm96biyEUjN5A+e19JQuff/OJvMBWbwvUXXF/9WAscuRgKDFXttMj7i9SzaRlQGLkA0PBy1PKcC2A276Jm56KnsKx9pVXnlDnNC+tcpNPaLU5g50JBX19rbbm+krgsLuTEHM5rP6/huUVaWTZu7F5VW64rkctyV7p51tJn78NktFBI68v//WU8dOQh/OLGX9RcbbLQ5ahDgaGKhbmAQoclko7gRPBEXQmdRp0RZr254ZGL8qWoQKHj8AvPLzCTnqk6HSRPs67U1SJyCfBGOxcDA/WfS4vF1kzLltyAmG9Bq42cZBlMBhvqWPfYeuCL+/DIsUdw+xO345FrH6laT0PW7+rHmZkzyIqNTf8eDxyvOjLgtrjhNDsxEZ2oa1oEaHw5ajKXRDwbn3eD3da1Db+f/D167b0VV8gAhdENoJCjshLJ5dSXcwEwdi4UTE2FkUo1lmRES8NhdkAn6DglsgqMjvq55HuOuTkXjY5ceEIe3PiDG/HAux7AZesuU3zNRtdG9Nn7cMdTd9R9nOcnn0c0E8XFay+u+hx5FUk90yJA48tR5X1FykdldnTvgCiJVfNBgEKnosvatepGLjwevxrhVMTOhQK9Xsf6Ck2iE3RwmB0cuVgFDAY9V4vMIRe38oQ8jSV02nqRzCXxxTd/Ee/a9q66XmPUGfHjv/gx/um3/4SHjz5c12sePvow9mzZA5vRVvU5/e5+AKi7PHWjy1H9CT8cZse8isMbnRthNVoV91B6zbrX1Ix/OZMTOutdoizTsto0OxcKenudsFhaZ8v1lcZlcXGlyCqwfn0nl3zP0Wvrhd1kxzNnnml4tcinL/s0br301oaO90dr/ggPvutB3Pyjm/G7M7+r+VxJkvC9o9/DtTuvrfm84shFndMije4vUi0fRSfosK1rW80VMgDw5v43132s5cZtcc/bjbYeGzdqN43C1qwgnc5CFDlc2yxd1q7i/Ci1rmQyAy4WmSUXt2p0S+02Qxu+fOWXF3TMq7ddjdveeBuu/u7VNYtqPXP2GQQTQbx989trvl+/qx8mvam4EkRJo/uL+BP+ecmcsh3dOxRHLt48sHI7FxucGzD9N/Xt2zJXIqHdFD87FwqCwZimy3eo1CVrL4HFYGl2GKSyqakwO/FlNrk3AWh8Xn0x07ifee1ncNWWq7Dn23sQToUrPud7R7+HP9/254qFvS7ovaDilvLVNJrQ6Y/7q35z3961XbFzsat79U23TkyENDsWOxcKrFYzl8g10eUbLm92CKSB9vY25jaV2dSxsM7FYt29526saV+DW382f2pFlEQcfuWw4pQIUGi7j9/weN3HbTSh0xf3VU12vbDvwoplyedajeeb01lfpdelwLumApfLCpOJe4s0y+Ub2blYDbq62qHTrb6LfS0LHblYLKPOiHv//F48cuwRPDn2ZMnvnhp/CvFMHG/Z9JYlP+5CEjqrjVy86fw3wahjrly57m6HZsdi50JBLJZCLpdvdhir1nrH+maHQBqIRBKs0Flmc+dm6ARdUwrIbXBuwOfe8Dn81WN/VVL/4tsvfRvv2fGeeSs0lkK7ub2hzkWlAloyq9G6VGG1lFCo8Z1nF4qdCwUzM0lks+xcEKlpejrGMvtl+l39cJqdMOiaM3L68Us/jnQujbufuxsAkJfy+MGxH+C9O96ryvFsRltDq0UaLY1OhRxCrbBzocDptMJo5LQIkZo4LTLfRtdGnOc4r2nHtxgs+Maeb+AffvUPOBs9i18N/woAcMXAFaocr9GEzlojF1RZT4920yK8ayqw2eZvJ0xES6u9XbtEs5VCL+hx8ZrqFTC1cMXAFbhi4Ap89vHPos3QhvfseA/0gjqFmBpeitrgvisEOBzatTN2LhQEg1HY7RaYzUwOIlLL1FQYPT1Ojl6UefV5r252CLjjyjuw++7d0Ak6PHr9o6odp5HVIul8GtFMtOEiUqvdxEQIa9fWV9RssTgtoiCdznEumEhlhSJabGflLl13abNDwGDHID512afQbm5vqG5FoxrJufDHC3tkMOeiMVoW0eLIhYLu7nbo9drVYydajdau7WD57wp29+5udggAgL+7/O/gtDhVmxIBGpsWkfcVYYG9xqxf31hFz8Vg50IBkzmJ1Gc2s51VslxqNViNVnzmtZ9R9RiNdC58cR+nRBZAy+l9flVQMDnJLdeJ1DY6GuCW66tcI6tF/PHq+4pQdcPDPs2Oxc6FAkmSuKESkcq4rwg1ktDpT3ClyELk89rdzDgWqUCrzFqi1ay/n99CVzu7yY6smEU6n4ZZX7sEQK1Ny6i6wcFezY7FkQsFuZzILHYilbHEPtmMNgCoa/SCIxcLo2W1aXYuFPh8EaRSWeUnEtGCjY8HmXOxytlNdgCoK++CCZ0LMzoa0OxY7FwoMJsNLOxDpLK2NtOq3AKbZhl0Bpj15ro6F6zOuTBW69JvOFdNy+dc3LL3lrfpoGuXf86YMj+855576h6K6OxsV34SES1KX5+r2SHQMmA32esqpOVPcLXIQmiZQ9jyIxcChLsB6XL5XyaTaagKTDKZ4XAtkcri8TRzm6ju5ahM6FyYWCyl2bFaeuRi/437OyFg+OC9h25d6HuEQnG43Ta0tWk3nES02vh8EWzY0AW9nlMjq1k9hbQy+Qwi6QinRRZgaiqCwUFtqpq2dOcCegwKEtwH9u7/TwnwQcI9h+4/9F+NvIXdboHBwPLfRGpyOq3MbaK6al0EEoWkRI5cNM7ttmp2rJbqXBzYe+CNEHAJAHTFur4WEAMGQZCeknTCF5GXtgsCDu/bt2/nPffcU3fKrJZb1BKtVh0d9maHQMuAzag8LeKL+9Buaue+IgugZQ5hS30lv+SiS7YJEAYBmJOdyScP3nNw+NkXnvvps394Nvrci88NX3rRq3cb8nrzsy8894e5r/vgBz/2hWAw6rTb26DX6zA87EMkkoDLZUMgEMXERAiZTA52uwUzM0mcPTsNQEBbmwk+3wy83jAsFhOMRj3Gx4MIBqNwOm2QpEK51Xg8DYfDikQig/HxAHI5ETabGdPTMUxOhmAw6GE2GzE5GYLfPwObzTIvjkwmh9FRP1KpHNrbLYhGS+Pw+wtxmM3V44jF0nA6rUgmS+MIheKYnAxBr5fjCMPvjxTjGBnxF6eHstn8uTiyaG9vQzSawtmzQUhSIeM/EIhiaioMs9kIo9GAM2emEQjMwOGwQhAqx5HNFuIIh+OYmJiNY2oqDJ8vAqvVDINBj5ERP6anS+NIJgtxxGIpnDkzPw6TyQiTyYCzZ+fGIWB42ItoNAWn04pUKouxsQCy2TxsNgvC4QQmJqah0+lgsRjh9UZK4hgdDWB6Oga324ZcLo+RET8SiQwcjtk4RFGC1WpGMFg5jvb2wjd1j8eLmZkUXK7ZODKZPOx2CyKRynG0tRXiGBsLIBiMwu22I5cTMTLiK8YRj6dx5kwQ+bwcRwxTUyEYjQaYTAZMTBTOtfb2Nuh0Ong8PszMFM61dLoQRzqdK4lDEApx+HwReL3z43C57BDFQhzxeOU45HO+PI5MJg+r1YyREX/xnE+ncxgb8xfjkNueIAiwWKq3PZfLBlGUzsUht700xseDim3Pbldue+XXALnt1boGyOd8+TVAbnuzcVRve7NxyG2vEId8zs9eA+S2F0QgEIXTWfi2WqvtlV8D5LZX6xogt71q1wD5nK90DZhte5mStvfdI9+DLe/Cxb1/DItl/jVgdNSPZ0efx3OB32H/xQcwMjL/GiCKhVUR1a4Bc9te+TWg3rZXuAbIba/0GhCPV74GyOf8bBxy25u9BshtrzwOue1VuwbMbXu1rgFjY35YLKaStiff9zweH9Jp6d6vfOUf/UtxP27pccgDNx34oCBIu+6679An9+3bZzRljL8XJN277rr/rtNznydJ0i8B/Gml95iYCDHngkhlw8O+czkXLZ9jTjVc//3rsbNnJ/7+8r+v+pxvv/RtfO2Zr+HpDz2tYWSt4dQpr1KVzvMEQZhYimO1dEu2iJbvSgIuPfCBW35qyphGAeHJ8o6FErfbBpOppWaPiJadnh4ncy4INpNNMediIjrBZM4F6utzanaslr5r/vOD/xwH8NpPvH/fGhisya/e99Vwo+/BEQsi9dlstfeSoNVBabWIJEm474X78InXfELDqFqH3a5dnkpLdy5kX33onsmFvtbvn4HD0Qaz2biUIRHRHBMTIfT1uTh6scrZTXacnTlb9fe/GP4FAokAbrjwBg2jah3j40GsX9+pybFaelpkKWSzeYgii/sQqSmdzrKIFsFmtNWs0PnVp7+KD1/8YcVdU6mydDqn2bFWxcjFYvT1ubjnAZHKNm7s5qgF1azQeSxwDL/0/BLffOc3NY6qdQwMaJerws6FAl7wiNTHdkZA7SJadz1zF963831YY1+jcVStQ6fTbrKC0yIKJiZCSCYzzQ6DqKUND/u4hw9VTegMJoO4/8X78cnLPtmEqFrHqVNezY7FzoUCvV7HaREilRkMerCZUbUKnd98/pu4ZO0leFXfq5oQVeswGrWrm8lpEQW9vdqtCyZarbTKYKflrdKW61kxi7ueuQt3veOuJkXVOjZu7NLsWBy5UJBOZyGKHK4lUlMymQEXi5DNZEMoGcKPj/8YL3pfRDgVxo+GfgSDzoCrtlzV7PBWvERCuyl+jlwoCAZjLP9NpLKpqTDLfxPWtq/Fni178IX/+gJOTZ9COBWGXtDjS1d+CQYdb1eLNTERUir/vWT4aSmwWIy84BGpzGazMLeJsMa+Bt9973eLPweTQZyaPoWd3TubGFXrsNu1qw/C1ozaG5cRERGtEty4TCuxWAq5XL7ZYRC1tEgkwQqdRCoLhWpvCreU2LlQMDOTRDbLzgW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"prompt_number": 3, "svg": [ "\n", "\n", "\n", " \n", " x\n", " \n", " \n", " 0\n", " 50\n", " 100\n", " \n", " \n", " y\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " -10\n", " -5\n", " 0\n", " 5\n", " 10\n", " 15\n", " \n", "\n", "\n", "\n", " \n", "\n", "\n" ], "text": [ "Plot(...)" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our smooth model has a RMS error of $2.7$, a significant improvement from just guessing the mean, but we can do better.\n", "\n", "We now make the hypothesis that the residual temperature on a given day is some linear combination of the previous $5$ days. Such a model is called autoregressive. We are essentially trying to fit the residuals as a function of other parts of the data itself. We want to find a vector of coefficients $a$ such that\n", "\n", "$$\\mbox{r}(i) \\approx \\sum_{j = 1}^5 a_j \\mbox{r}(i - j)$$\n", "\n", "This can be done by simply minimizing the following sum of squares objective\n", "\n", "$$\\sum_{i = 6}^n \\left(\\mbox{r}(i) - \\sum_{j = 1}^5 a_j \\mbox{r}(i - j)\\right)^2$$\n", "\n", "The following Convex code solves this problem and plots our autoregressive model against the actual residual temperatures:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Generate the residuals matrix\n", "ar_len = 5\n", "residuals_mat = residuals[ar_len : n - 1]\n", "for i = 1:ar_len - 1\n", " residuals_mat = [residuals_mat residuals[ar_len - i : n - i - 1]]\n", "end\n", "\n", "# Solve autoregressive problem\n", "ar_coef = Variable(ar_len)\n", "problem = minimize(sumsquares(residuals_mat * ar_coef - residuals[ar_len + 1 : end]))\n", "solve!(problem, SCSSolver(max_iters=5000, verbose=0))\n", "\n", "# plot autoregressive fit of daily fluctuations for a few days\n", "ar_range = 1:145\n", "day_range = ar_range + ar_len\n", "p = plot(\n", " layer(x=day_range, y=residuals[day_range], Geom.line, Theme(default_color=color(\"green\"))),\n", " layer(x=day_range, y=residuals_mat[ar_range, :] * evaluate(ar_coef), Geom.line, Theme(default_color=color(\"red\"))),\n", " Theme(panel_fill=color(\"white\"))\n", ")" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "\n", " \n", " x\n", " \n", " \n", " -200\n", " -150\n", " -100\n", " -50\n", " 0\n", " 50\n", " 100\n", " 150\n", " 200\n", " 250\n", " 300\n", " 350\n", " -150\n", " -145\n", " -140\n", " -135\n", " -130\n", " -125\n", " -120\n", " -115\n", " -110\n", " -105\n", " -100\n", " -95\n", " -90\n", " -85\n", " -80\n", " -75\n", " -70\n", " -65\n", " -60\n", " -55\n", " -50\n", " -45\n", " -40\n", " -35\n", " -30\n", " -25\n", " -20\n", " -15\n", " -10\n", " -5\n", " 0\n", " 5\n", " 10\n", " 15\n", " 20\n", " 25\n", " 30\n", " 35\n", " 40\n", " 45\n", " 50\n", " 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", "prompt_number": 5, "svg": [ "\n", "\n", "\n", " \n", " x\n", " \n", " \n", " 0\n", " 500\n", " 1000\n", " 1500\n", " \n", " \n", " y\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " -10\n", " 0\n", " 10\n", " 20\n", " 30\n", " \n", "\n", "\n", "\n", " \n", "\n", "\n" ], "text": [ "Plot(...)" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The RMS error of this final model is $2.3$." ] } ], "metadata": {} } ] }