{ "metadata": { "name": "", "signature": "sha256:a02c5f4c5c209b56d9db7477ddcaaf1f8934cd2e0a2ec227c656702de2a98419" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In this post, we're going to analyze an XKCD comic about dating pools and derive the statistical analysis that's behind the curves shown in the comic.\n", "\n", "First of all, let's take a look at the comic:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "Image(url=\"http://imgs.xkcd.com/comics/dating_pools.png\")" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "" ], "metadata": {}, "output_type": "pyout", "prompt_number": 1, "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the comic mentions some analysis involving census bureau data and dating pools. Our goal in this post is to replicate the analysis that leads to these curves. We proceed in two parts:\n", "\n", "- first, we will take a closer look at the \"standard creepiness rule\"\n", "- then, we'll apply the creepiness rule to census bureau data available on the internet and see if we get the same type of plot shown in the comic" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "The \"standard creepiness rule\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As explained in the comic, the \"standard creepiness rule\" implies that you can't date people below a certain age that depends on your own age. Assuming this applies to everyone in the population or society you live in, this means that there also is an upper age bound over which people can't date you because you're too young for them. \n", "\n", "Formally, we can denote these two bounds as:\n", "\n", "- youngest_person_you_can_date = creepiness_rule(your_age)\n", "- your_age = creepiness_rule(oldest_person_that_can_date_you)\n", "\n", "Still more mathematically, if we denote the creepiness rule by $f$, upper and lower bounds by $\\text{upper_bound}$ and $\\text{lower_bound}$ and your age by $x$ then we have:\n", "\n", "$$\\text{lower_bound} = f(x)$$\n", "$$f(\\text{upper_bound}) = x \\Leftrightarrow \\text{upper_bound} = f^{-1}(x)$$\n", "\n", "This can be easily implemented, as the inverse creepiness rule is \"you can't date people older than twice (your age minus 7 years)\"." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def creepiness_rule(age):\n", " return age / 2. + 7\n", "\n", "def inverse_creepiness_rule(age):\n", " return 2. * (age - 7)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can prepare a little plot to look at the lower and upper bounds as a function of your age:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from pylab import *\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "ages = linspace(15, 70)\n", "plot(ages, creepiness_rule(ages), label='youngest people you can date')\n", "plot(ages, inverse_creepiness_rule(ages), label='oldest people you can date')\n", "legend(loc=2)\n", "xlim((15, 70))\n", "grid(True)\n", "xlabel(\"your age (years)\")\n", "ylabel(\"age (years)\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ "" ] }, { "metadata": { "png": { "height": 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3q/3joMGGP9YIGoCy9SlN48ePJyEEdevWTS/to48+IiEEvfjiizrT7969qzRcfvrpJ4PL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31rk7/zne4HHeQe2gpyW1MU66Z/HBswwP3YY92nTXOfMCGc/8hHmvxvfwvPXe33197zTU1Nnbp+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\n9HhJ9FixT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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As one can see from the plot above, the dating interval is getting larger with your age. When computed, the interval can be found to be equal to $\\frac{3}{2}age - 14$. \n", "\n", "Therefore, what I would call \"the dating pool paradox\" results from two factors that have inverse effects on the dating pool: \n", "\n", "- your dating age interval grows by a factor 1.5\n", "- while at the same time the number of single decreases\n", "\n", "We will explore this phenomenon with some real data in the next section. But first, we'll need to define a dating bounds function and check that it returns the numbers given in the comic." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def dating_bounds(age):\n", " return (creepiness_rule(age), inverse_creepiness_rule(age))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "When you're 18, you can date people in the following interval:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "dating_bounds(18)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "(16.0, 22.0)" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "When you're 30, your dating pool is in the following age group:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "dating_bounds(30)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "(22.0, 46.0)" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the next section, we apply the previous functions to some real numbers to see if we can indeed derive the dating pool curves Randall Munroe is showing in his comic." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Including census bureau numbers into the analysis" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Getting the data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Figures such as the ones said to exist in the comic can indeed be found on the interwebz: [http://www.census.gov/population/www/socdemo/hh-fam/cps2011.html](http://www.census.gov/population/www/socdemo/hh-fam/cps2011.html). Downloading the excel file at [http://www.census.gov/population/socdemo/hh-fam/cps2011/tabA1-all.xls](http://www.census.gov/population/socdemo/hh-fam/cps2011/tabA1-all.xls), we can continue the analysis and replicate Randall's findings. I edited the data found in the csv file to compute the age pools of singles by considering that the \"single person\" category is the union of the categories \"Married Spouse Absent\", \"Widowed\", \"Divorced\", \"Separated\" and \"Never Married\".\n", "\n", "The data is given as the number of singles within an age category bounded by lower and upper ages. As an example, there are 7993 thousand singles of both sexes between the ages of 18 and 19." ] }, { "cell_type": "code", "collapsed": false, "input": [ "ages_lower = array([15, 18, 20, 25, 30, 35, 40, 45, 50, 55, 65, 75, 85])\n", "ages_upper = array([17, 19, 24, 29, 34, 39, 44, 49, 54, 64, 74, 84, 100])\n", "data_both_sexes = array([12740, 7993, 19063, 13970, 9233, 7277, 7403, 7971, 7708, 12733, 7825, 6206, 3428])\n", "data_males = array([6559, 4082, 10079, 7726, 4952, 3639, 3729, 3860, 3557, 5461, 2614, 1592, 826])\n", "data_females = array([6183, 3910, 8986, 6244, 4281, 3638, 3673, 4112, 4151, 7272, 5212, 4616, 2601])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Due to the irregular sampling of the data, the next section will be devoted to building an interpolation function that returns the number of singles between given age bounds." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Building an interpolation function on the data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this section, we'll be writing a function that computes the number of singles between two age bounds. We first compute the number of singles above a certain age:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def singles_above_age(age, data):\n", " \"\"\"\n", " returns the number of singles found in vector data above a given age\n", " \"\"\"\n", " if age >= ages_lower[-1]:\n", " return float(ages_upper[-1] - age) / (ages_upper[-1] - ages_lower[-1] + 1) * data[-1]\n", " ind = (ages_lower >= age).nonzero()[0][0]\n", " singles = sum(data[ind:])\n", " if ind != 0: #\n", " delta_age = ages_lower[ind] - age\n", " singles += float(delta_age) / (ages_upper[ind - 1] - ages_lower[ind - 1] + 1) * data[ind - 1]\n", " return singles" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's check if the function works." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(singles_above_age(20, data_females))\n", "print(sum(data_females[2:]))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "54786.0\n", "54786\n" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "print(singles_above_age(19, data_females))\n", "print(sum(data_females[2:]) + data_females[1] / 2)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "56741.0\n", "56741.0\n" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "print(singles_above_age(18.5, data_females))\n", "print(sum(data_females[2:]) + data_females[1] / 2 * 1.5)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "57718.5\n", "57718.5\n" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "print(singles_above_age(99, data_females))\n", "print(data_females[-1] / 16)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "162.5625\n", "162.5625\n" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This seems to work. So let's build a function that returns singles between two age bounds. We are using the fact that the number of people between `age1` and `age2` are all those above `age1` minus the ones above `age2`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def singles_between_bounds(bounds, data):\n", " return singles_above_age(bounds[0], data) - singles_above_age(bounds[1], data)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's check that the function works." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(singles_between_bounds((15, 18), data_males))\n", "print(data_males[0])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "6559.0\n", "6559\n" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is quite neat. We can now move on to the analysis we want to conduct." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Plotting singles as a function of age (correctly sampled, this time)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, let's look at the number of singles in 1 year intervals between 18 and 80!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ages = arange(18, 80, 1)\n", "both = [singles_between_bounds((age, age + 1), data_both_sexes) for age in ages]\n", "males = [singles_between_bounds((age, age + 1), data_males) for age in ages]\n", "females = [singles_between_bounds((age, age + 1), data_females) for age in ages]\n", "plot(ages, both, label=\"both sexes\")\n", "plot(ages, males, label=\"males\")\n", "plot(ages, females, label=\"females\")\n", "xlabel(\"age class (lower bound)\")\n", "ylabel(\"singles (in thousands)\")\n", "title(\"number of singles as a function of age class\")\n", "legend()\n", "grid()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "height": 280, "width": 397 } }, "output_type": "display_data", "png": 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tmmiNDMMw6gfmbBhG3ZJszoZNEDfqJf36wdFHw6ZN8MgjpekTJkxImE6G2T+R\nmO0TS320v6raZptttbglK9azkURYz8be5YUX4PTTXeyNFSugUSNb7zvRmP0Th9k+sdQn+we+piZY\nE8NIL+K9tqxnwzDqmKFDoWdPN4zqmWdcmi3Bl1jM/onDbJ9YzP6GYaQr1rORRFjPxt7nn/+ESy6B\n3r3ho4/AhhIbhmHULdazYRh1Q7L2bJizkUSYs7H32bULunWDNWvg5Zfh5JMTrZFhGEZ6Y86GYdQN\nyeps2DAqo17TuDFceaX7+7bbEquLYRiGYRhGumE9G0mE9WwkhoIC6NQJ8vNh2TLo0yfRGhmGYaQv\n1rNhGHVDsvZsmLORRJizkTjGj4dbboHmzd2WbPTuDS+9BA0bJloTwzCMmmHOhmHUDeZsGJVizkbi\nWLcODjwQNm2aAExIsDbR+fRTp2M6M2HChHoZbyAZMNsnlvpkf3M2DKNuMGfDqBRzNhLL9u3QtKmw\nalVy2f/ss+H//g8WLYL+/ROtTd1Sn2INJBtm+8RSn+xvzkb16dKlC6tWrWLRokX069cv0eqUYcaM\nGVx00UX069ePRYsWJVqdekmyOhs2KMMwPJo0cWvd77dfojUpyz77uN/16xOrx97AYg0kDrN9YjH7\nG1VFRMIviXuLGTNmsHLlSoYNG8YhhxxSYdm9rZuR/JizYRgBknEYQ9u27nfDhsTqsTdIRvvXF8z2\nicXsb1SVRPQIzZgxg6VLl9K1a9dKnQ3DiMSWvjWMJKdNG/dbH3o2DMMwDMNIL8zZMIwkx+/ZMGfD\nMAzDSCQ2z8aoDuZsGEaS4/ds1IdhVIZhGEbVWLVqFZdccgn77bcfmZmZdO3alWuuuYaCgoIK5T74\n4APOP/989ttvPxo3bkzr1q357W9/y/PPP1+u7IwZMwiFQixduhSA0aNHEwqFwlvXrl1jtjN37lwG\nDBhAbm4uzZo1o0+fPjz99NPV3t8XX3yRk08+mXbt2tGoUSNatmxJz549Offcc3nmmWcq1GPo0KG0\nb9+ejIwM2rZty2mnncZrr71WruzUqVMJhUJkZWXx2WefRa3v8ssvJxQK0blz53K2Likp4fHHH2fQ\noEG0adOGjIwMOnbsyIgRI3j33Xdj6rhkyRLOPPNM9t13XzIyMsjJyaFHjx4MGzaMqVOnpr6Tp6q2\nJckGqDskhlHKokWqoHrccYnWxDAMo+bYs676dO7cWUOhkE6fPl3btGmjIqLNmzfXJk2aqIioiGiP\nHj107dqrNKzHAAAgAElEQVS1UeUffvhhDYVCKiIaCoW0ZcuW2qhRo7DsBRdcoMXFxeHys2bN0vbt\n22tGRoaKiObm5mqHDh3C29FHHx0u++ijj6qIaP/+/fWvf/2riog2bNhQW7RoEW5TRPTuu++Oe79v\nuOGGsHwoFNKcnBxt0qRJuN727duXkykqKtLzzjuvjFxubm4ZXf70pz+Vkzv11FNVRPTQQw/VoqKi\nMnlz585VEdEGDRrookWLyuQVFBToCSecEK67QYMGZdpr0KCB3n///eXae/jhh8vo2KxZM83Ozi6j\n565du6pkp3ivrUD5un2/resGbDNnI5W46aabEq1COT791F2pv/xlojWpe5LR/vUFs31iqU/2t2dd\n9encuXP4pX///ffXt99+W1VVS0pK9MUXXww7ICeeeGI52bfffjv8Anv22WfrTz/9pKqq27Zt08mT\nJ4fzbr755nKy/fr1UxHRxx57LKZuvrORm5urDRs21MmTJ2t+fr6qqq5bt07POussFRHNysrSzZs3\nV3mfv//+ew2FQhoKhXT8+PG6adOmcN6GDRv0ueee00suuaSc3NixY1VEdP/999fZs2fr9u3bVVV1\n69atOmXKFG3evLmKiD711FNl5NavX6/t2rVTEdFrr702avrVV19drr1hw4apiOiRRx6pCxYsCDsI\nW7Zs0cmTJ2tGRoY2aNAgfMxUVQsLC7VZs2YqInrJJZfojz/+GM7bsmWLvvrqq3reeeeVc3piYc6G\nbeZspADJaP/1692V2rJlojWpe5LR/vUFs31iqU/2t2dd9fGdjSZNmui3335bLn/RokXhr+FvvfVW\nmbyBAweqiOhxxx2nJSUl5WT93oPs7GwtKCgokxePsyEiesstt5TL37Fjh7Zt21ZFRGfOnFnVXdZZ\ns2apiOgBBxxQZZmvv/5aRUTbtWtX5gU+yNNPP60iogcddFC5vGAPxpIlS1S11Jk4+OCDy738L1iw\nQEVEe/XqVc52PrfeequKiA4ZMiSctnz58rDNox2TeElWZ8PmbBhGgGRc675lSxCBzZthz55Ea1O3\nJKP96wtm+8Ri9q86Ism1JYKzzz6bbt26lUvv378/ffv2BWD27Nnh9M2bN7No0SJEhOuvvz5qLIw/\n/elPNG7cmG3btvHKK69UW7esrCzGjh1bLj0zM5PBgwcDxJwPEY2cnBwA8vPz2bFjR5VkZs6cCcDw\n4cPZxw9WFcEZZ5xBRkYGn3/+OT///HOZvCFDhnDZZZdRUlLCyJEjueuuu3jxxRdp3LgxTzzxBI0a\nNSpT/rHHHgPg0ksvJTs7O2p75557LgCLFy/2PzCH92337t1s3LixSvuWipizYRgBknGt+wYNoHVr\n93ca34uA5LR/fcFsn1jM/kY89O/fP2aeH1n8gw8+CKf5f4tIzMjjzZs358gjjywnGy8HHHAAWVlZ\nUfM6duwIwJYtW6pc3zHHHEPLli1Zs2YNffr0Ydq0afzwww8VyixbtgxwE9zbt28fddt3333Zs2cP\nqsrq1avL1XHnnXfyi1/8glWrVnHVVVcBMGnSJHr37h2zvUmTJsVs76ijjgKgsLAw7Fj06NGDHj16\nsGvXLvr06cPdd9/NV199VWXbpArmbBhGClCfAvsZhmFUhBtYmjxbIoj1tR5KX+g3BB4Y/t85OTk0\nadKk0no31OBhE+vLPrjeDXBf8qtKbm4ujz/+OC1atODjjz/m8ssvp1u3bnTo0IFRo0aFV8oKsnbt\nWgC2bt3Khg0bYm6qiohE7TFp0qQJDzzwQPj/Pn36cPXVV0fV0W8vLy+vwvaAMu2FQiGefPJJ9tln\nH7777jvGjRtHr169aNWqFWeffTZz586tsp2SGXM2DCMFsMB+hmEYRk3ZtWtXolWoFieddBLff/89\nU6dO5eyzz2afffZh/fr1zJw5k/79+3P55ZeXKV9SUgLA3XffTXFxcaXb8ccfH7Xdf/7zn+G/v/76\n63LDrSLbmzNnToXtlJSUUFxcTKdOncKyRxxxBCtWrOCJJ55g5MiRdO/enby8PGbPns3QoUM55ZRT\nwvWnKuZsGEYKYD0bhmEYhs9PP/0UM2/NmjUAtPG/UgFtvYfIjh07Kpwb8OOPP5aTTRaaN2/OJZdc\nwtNPP83q1av59NNPufTSSwGYNm1amXkm7dq1A2DlypXVbu9f//oXzzzzDA0bNqRnz55s2rSJiy66\nKGrZmraXmZnJueeey4wZM1ixYgXffvtteG7NvHnzeOihh6q9H8mAORuGkQJYz4ZhGIbhs2TJkkrz\nDj/88HDaYYcdBrgVSBctWhRVLj8/n//+97/lZMEN9/Hlk4VevXrx8MMP86tf/QooaxN/kvyrr75a\nrbpXr17NH/7wB8At3jBnzhyysrJ49dVXmTJlSrnyfnvz5s2rVnuRdOnShcmTJzN8+HCAqEPFUglz\nNgwjQLJO0qwvPRvJav/6gNk+sZj9jXiYNWsW33//fbn0pUuXsmzZMkSEs846K5zeokULBg4cCMBt\nt90W1Wm47bbb2LVrF9nZ2Zx88sll8po3bw7EN7G7tqhsfoc/D6SoqCicNnLkSESEL774gqlTp1Yo\nn5eXV+Z/VWXUqFHk5+fTp08fbrjhBnr27Mltt90GwDXXXMOKFSvKyIwaNQqA+fPnM3/+/Cq3V9V9\nS9Xhb2Hqem1d2yzORiqRrPZ/8EE3FfGyyxKtSd2SrPavD5jtE0t9sr8966pPMKhfz549ddmyZaqq\nWlxcrC+99FI4qN/gwYPLyS5btkwbNGgQDurnx5/YunWrTp48ucIYGePHjw/H6PAD9UXix9kYMGBA\nTP1vuukmFREdPXp0lff57rvv1hNPPFGffPLJMpHR/WB5fuTtefPmlZG76qqrwrEyrr/++jLxNvLz\n8/Xll1/WESNG6AknnFBG7h//+Ec49kVkLJNBgwapiOgxxxyje/bsKZN3xhlnhIMW3n777bphw4Zw\n3oYNG/TZZ5/Vk08+ucy+v/DCC/qrX/1Kp02bpitXrgynFxYW6tSpU8OR26dMmVIlW8V7bQXK1+37\nbV03YJs5G6lEskbxnT3bXa3DhiVak7olWe1fHzDbJ5b6ZH971lUf39mYPn16OEBes2bNNCsrK+ws\n7L///vrzzz9HlX/44YfDDoeIaIsWLcL/h0IhveCCC6IGl/vyyy+1cePGKiLasGFD7dixo3bu3FmP\nPfbYcJm6dDZ8fUVEmzZtqrm5ueH/Q6GQjhkzppxccXGx/v73vy8j27x5c83JySmTNnDgwLDMJ598\nEt7PqVOnlqvzp59+0pYtW6qI6IQJE8rkFRYW6u9+97sydefm5oYjhPvbRRddFJaZM2dOmbysrCxt\n0aJFmbQhQ4ZocXFxlWxlzoZt5mwY1WbJEne1/vrXidbEMAyjZtizrvp06dJFQ6GQLlmyRFetWqUX\nX3yx7rfffpqZmandunXTa665JmYEa5/3339fzzvvPN133321cePG2rp1ax08eLA+99xzFcotXbpU\nTzrpJG3Tpo02bNhQQ6GQdu3aNZw/Y8aMSp2NCRMmaCgUisvZWL9+vU6fPl1HjBihBx54oLZs2VIz\nMjJ0n3320WHDhum///3vCuXffvttveCCC7Rr166alZWlWVlZ2rVrVx02bJg++OCDunnzZlVVLSoq\n0kMPPVRDoZCeeuqpMet76qmnVEQ0IyND33vvvXL5L7/8sp5xxhnh49KkSRPdf//9dcSIEfrYY49p\nYWFhuGxBQYE+8cQTOmrUKD3kkEO0TZs2mpGRoW3bttXBgwfrE088UWU7qSavsyGuLSMZEBHncdgx\nMSL48kvo1Qt69ICvv060NoZhGNXHj15tzzrDqF3ivbYC5cuHlK9FbIK4YaQA/mpU6T5B3DAMwzCM\n9MJ6NpII69kwYlFSAhkZUFwMu3a5vw3DMFIR69kwjLrBejYMw6g2oVBp70YF8ZgMwzAMwzCSCnM2\nDCNAMq91Xx8C+yWz/dMds31iMfsbhpGu2DCqJMKGUSUeEUla+59wAixcCK+9BoMGJVqbuiGZ7Z/u\nmO0TS32yvw2jMoy6wYZRGUYKcNNNNyVahZjUh56NZLZ/umO2Tyxmf8Mw0pWU7NkQkduAI4H9gVbA\nTmA1MBe4T1XXBcp2Ab6roLpZqnpOjHYuBP4X6AUUAx8Ad6jqyzHKZwHXASOATkABsBi4SVW/rMJ+\nWc+GEZMrroB774W77oKxYxOtjWEYRvWwng3DqBuStWejYV1WXoeMBf4LzAfWA02BPsANwGUi8mtV\nXREh8yEwJ0pdn0ZrQETuAMbhnJipQGOcEzFXRP6oqg9ElG8MLAD6Au8Bz+McjrOAU0RkoKq+W419\nNQygfvRsGIZhGIaRXqSqs5GtqkWRiSJyM87huA64OCL7Q1X9a1UqF5G+OEfjG+AoVc330m/HOTl3\niMi/VXVlQGwcztF4VlWHB+qahXNyHhGR3mqfcoxq0rat+zVnwzAMwzCMVCEl52xEczQ8nvV+O9aw\niTHe72Tf0fDaXQk8gOvlGO2ni+uHGoML+35thK4vAW8CBwD9aqiXUY+xwH6GYRiGYaQaKelsVMCp\n3u/iKHn7iMjlInKD99u7gnoG4hyHV6PkzfN+BwTSugP7AV9H9HZEygysoE3DqBDr2TAMwzAMI9VI\naWdDRK4WkQkicpeIvAn8BZgO3Bml+CBgCnCz9/uRiLwhIvtF1NkU1zOyLTjRPMA33u/+gbSe3u/X\nMVT1ZXpUtk9GYknmte7rQ89GMts/3THbJxazv2EY6UpKrkblIyJrgXaBpLdxKz+9ESjTBrei1BxK\nV6U6BJiA6534BjhUVbd75TsCPwI/qmqnKG02AnYBu1Q1y0s7F3gCeEJVR0aRGYSbzD5fVU+qYH9s\nNaoEk8xr3eflQYsWkJ0NBQWJ1qZuSGb7pztm+8RSn+xvq1EZRt2QrKtRpXTPhqp2UNUQzuE4HWgD\nvCYi5wfKbFDVCar6oaoWeNubwInAcuAXwCWJ0N9IPpJ5rfucHGjUCLZuhZ07E61N3ZDM9k93zPaJ\nxexvGEa6ktLOho/nUMzBORB7gH9UQaYYN+QK4LhAlj8hPCeGqJ+eV0OZmIhIzK1///6ISMwu9wkT\nJlh+DfKBpNVPBBo3ngAI11+ffPrVRj4kr/3TPX/ChAlJrV+659cn+xuGsffwr7to294ipYdRRUNE\nPgAOBjrGmHMRLDsUeAF4VVVPDqT/CHQA9lHVnyNk+uCGa72pqv28tO7ACuArVe0VpZ3rgcnAJFWN\n+fnKhlEZlXHYYfDhh/Df/8LhhydaG8MwjPixYVSGUTfYMKq9R0fcSlLbqlD2V95vZITxhYAAv40i\n48+5CM8LUdVvgVVATy9ieaUyhlEdLLCfYRiGkQz079+fUCjEY489lmhVjCQn5ZwNEekhIuWGK4lI\nSEQm4+ZtvK6qhV764RKlr0hEfgNciXNMnojIfsj7HS8iuQGZLrjJ5juBR2PI/D3Yntd7cizwmaou\nqep+GkY0/OVv03lFKsMwDCN1sKFxRmWkYgTxU4C/eUvd/gBswk0Q7wd0BVZSGpQP3DK4vxCRZcBP\nXtrBuJWoFLhRVf8v2ICqviMid+Kign8sIs8BGcBwIBf4o6quitDrTmAIcCawXETeADoBZwGFwEU1\n33WjvmM9G4ZhGIZhpBIp17MBLMBN7G4D/A64GhgGrAPGA71V9YdA+ZnAB8BRuFWn/gcXhG8WcLyq\n3hKtEVW9Ghcl/GfgUuB84BPgVFV9MEr5Ilwsj0k4h2Qs8BvgeeAoVX2vJjtt7B1iTWxMFtK9ZyPZ\n7Z/OmO0Ti9nfMIx0Je0miKcyNkE88ST7WvfTp8Oll8Lo0fDII4nWpvZJdvunM2b7xFKf7G8TxNOD\n/v37s3TpUmbMmMHIkeVCjBkJwCaIG0YKkOxr3fs9G+k6jCrZ7Z/OmO0Ti9nfqIguXboQCoVYunQp\na9euZcyYMXTq1ImsrCx69erFnXfeWeYF89lnn+W4444jNzeX5s2bc8opp/DJJ5+Uq7eoqIhnn32W\nkSNHcsghh9C6dWsyMzPp3Lkz559/Pu+//361dS4pKeHxxx9n0KBBtGnThoyMDDp27MiIESN49913\nY8otWbKEM888k3333ZeMjAxycnLo0aMHw4YNY+rUqeakpiKqaluSbLg5JGoYsVi2TBVUjz460ZoY\nhmFUD3vWxU/nzp01FArpo48+qu3bt1cR0dzcXG3UqJGKiIqIXnbZZaqqetVVV6mIaKNGjTQnJ0dD\noZCKiObk5OhXX31Vpt65c+eG5Rs0aKCtWrXSJk2ahGUaNWqkjz/+eFSd+vXrpyKijz32WLm8goIC\nPeGEE8rUnZubG663QYMGev/995eTe/jhh8MyoVBImzVrptnZ2WE5EdFdu3bVgkXTk3ivrUD5On2/\ntZ4Nw0gh0r1nwzAMw4iOqnLllVfSvXt3Pv74Y7Zs2UJ+fj6TJk0CYNq0afz5z3/mvvvu45577iE/\nP5+8vDw+/vhjevbsSUFBAePHjy9TZ3Z2NldccQVvvvkm27ZtY+PGjRQWFvLDDz8wduxY9uzZw2WX\nXcbq1avj0nXkyJEsXLiQI444gtdee43t27ezZcsWNm3axM0330yDBg244oorWLZsWVhm+/btXHXV\nVQBcfPHFrFq1iq1bt1JQUMCmTZuYN28e5557rq1+lYrUtTdjm/VsGLVHfr7r2WjaNNGaGIZhVA97\n1sVP586dVUS0VatWmp+fXy7/N7/5TfjL/6RJk8rlv/nmmyoimpmZqUVFRVVu9+KLL1YR0YkTJ5bL\ni9WzsWDBAhUR7dWrlxYUFESt99Zbb1UR0SFDhoTTli9friKi2dnZWlJSUmUdjVLivbbYSz0bqbj0\nrWHUW7KzoXFjKCyE7duhSZNEa2QYhrF3kYnJ9WVbb9p7cwjGjBlD8+bNy6WfcMIJvPHGGzRu3Jhx\n48aVy+/bty+NGzemqKiIFStWcMABB1SpvSFDhvDII4+U6YGoDD/I36WXXkp2dnbUMueeey7XX389\nixcvRlUREXJyXAi13bt3s3HjRtr4a70bKY8NozKMFEKkNNZGui5/axiGYUSnd+/eUdP9F/MuXbrQ\nJMpXqFAoROvWrVFV8vPzy+Rt3ryZSZMm0bdvX1q1akXDhg0JhUKEQiFOP/10ANasWVNlHX3HZNKk\nSbRv3z7qdtRRRwFQWFjIxo0bAejRowc9evRg165d9OnTh7vvvpuvvvqqyu0ayYv1bBhGgAkTJiT9\nevdt28KPP7p5G507J1qb2iUV7J+umO0Ti9m/6uzNnoRko0OHDlHTGzRoUGF+sMzu3bvDaZ9//jkD\nBw5kvTcRUETIzs4mKysLEaGoqIjNmzdTWFhYZR3Xrl0LQF5eXqXzK0SEHTt2AM4hevLJJxk2bBjf\nffcd48aNY9y4cbRo0YLf/OY3XHDBBZx66qlV1sNIHqxnwzACTJw4MdEqVEo6B/ZLBfunK2b7xGL2\nNxLB6NGjWb9+PUcccQTz589n69at5OXlsXbtWtasWcMzzzwDxBcTpaSkBIA5c+ZQXFwccyspKaG4\nuJhOnTqFZY844ghWrFjBE088wciRI+nevTt5eXnMnj2boUOHcsopp4TrN1IHczYMI0AqrHXvD6NK\nxxWpUsH+6YrZPrGY/Y29zapVq3jvvfdo2LAhL730EoMGDSo3BOvnn3+Ou9527doBsHLlymrplZmZ\nybnnnsuMGTNYsWIF3377Lddffz0iwrx583jooYeqVa+ROMzZMIwAqTCMIZ17NlLB/umK2T6xmP2N\nvc2PP/4IuPkesYZfvf7663HX27dvXwDmzZtXfeUCdOnShcmTJzN8+HAAli5dWiv1GnsPczYMI8VI\n554NwzAMY++Qm5sLwLp169gQ5evVJ598wpNPPhl3vaNGjQJg/vz5zJ8/v8KyeXl54b+Dc0mikZmZ\nCcCuXbvi1slILOZsGEaKYYH9DMMw6h+1EcwuWEevXr3Yd999KSkpYfjw4Xz77beAe+l//vnnGTRo\nUMylayti8ODBnH766agqv/vd77jjjjvCK04BbNy4kdmzZ3PKKaeUWab35Zdfpk+fPkyfPp1Vq1aF\n07dv3860adP417/+Fa7fSC1sNSrDSDFs6VvDMIz6RzyTtKtSh4hw7733cuaZZ7J48WJ69OhBs2bN\n2LVrF7t376Zz587cfPPNXHDBBXG3M3PmTEpKSpgzZw7XXnst1157LTk5OezZs6fMylajR48uo8/y\n5ctZvnw54HoyMjMzy/R+nHLKKVx22WXV2XUjgVjPhmGkGNazYRiGUb8QkQp7NqrS6xGtjmHDhvHG\nG28waNAgmjdvTnFxMV27duWaa67hgw8+YN99962WTk2aNOH555/n3//+N6effjr77rsvO3fupKSk\nhB49ejB8+HBmzJjBfffdF5YZOHAgjz/+OBdeeCEHH3wwzZo1o7CwkDZt2nDiiSfy+OOPM3fuXEIh\ne3VNNaQ2PGWjdhARhdr5emFUj1RY6/7776FbN+jUCaq52EfSkgr2T1fM9omlPtnff0G1Z51h1C7x\nXluB8jUfo1dRO3axJw/mbCQeEUl6+xcWQrNmkJkJ27e7qOLpQirYP10x2yeW+mR/czYMo25IVmfD\n+qIMI0AqrHXftClkZcHOnc7xSCdSwf7pitk+sZj9DcNIV6xnI4mwng2jqnTp4oZQffutG1JlGIaR\nKljPhmHUDdazYRhGrZHOgf0MwzAMw0gfzNkwjBTEAvsZhmEYhpEKmLNhGCmI9WwYhmEYhpEKmLNh\nGCmI9WwYhmEYhpEKmLNhGAFSZZ37dO3ZSBX7pyNm+8Ri9jcMI12x1aiSCFuNKvGkylr3jz0Go0bB\n+efD448nWpvaI1Xsn46Y7RNLfbK/rUZlGHWDrUZlGClAqqx17/dspNswqlSxfzpitk8sZn/DMNIV\n69lIIqxnw6gq//kPHHUUHHYYvP9+orUxDMOoOtazYRh1g/VsGIZRa6Rrz4ZhGIZhGOmFORuGkYL4\nq1Ft2AD2cdAwDMMwjGTFnA3DSEGysqBZMygqgoKCRGtjGIZhGIYRHXM2DCNFCfZuGIZhGIZhJCPm\nbBhGgFRa6z4d522kkv3TDbN9YjH7G4aRrpizYRgBJk6cmGgVqkw6BvZLJfunG2b7xGL2N6rK1q1b\nGTduHN27dycjI4NQKETXrl0TrVadMGrUKEKhkF0fKU7DRCtgGMlEKq117w+jSqeejVSyf7phtk8s\nZn+jqpx++uksXLgQEaF58+ZkZWXR1v/6lKb4S7QaqYk5G4YRIJWGMqRjz0Yq2T/dMNsnFrO/URU+\n++wzFi5cSEZGBkuXLuXoo49OtEqGUSk2jMowUpR07NkwDMMwYvPZZ58BcPDBB5ujYaQM5mwYRoqS\njhPEDcMwjNjs2LEDgGbNmiVYE8OoOuZsGEaKYkvfGoZh1A8mTJhAKBRi9OjRACxevJhQKBTelixZ\nEi67bds2brnlFo466ihycnLIzMykR48eXHHFFfz4449R6+/fvz+hUIiZM2dSUFDAtddeS/fu3cnK\nyqJ79+7ceOON7Ny5M1x+4cKFDB48mNatW9O0aVP69evH0qVLo9ZdUlLCvHnzuPzyyzniiCNo164d\nGRkZdOzYkdNPP51FixbVyDZz585l6NChtG/fnoyMDNq2bctpp53Ga6+9FlPmo48+YuTIkXTp0oXG\njRuTnZ1Nt27d+O1vf8s999wTduqMWkJVbUuSDVB3SAyjct5/XxVUDz440ZoYhmFUHXvWxc8dd9yh\nHTp00JycHBURzcjI0A4dOoS3d955R1VVP//8c+3cubOKSLhcdna2hkIhFRFt2bKlvv322+Xq79ev\nn4qI3nXXXdqzZ08VEc3OztbGjRuH6xo8eLCqqt57770qItqwYUPNzc0N152RkaFLly4tV/cnn3wS\nriMUCmlubm4ZnURE//a3v0Xd7wsvvFBFRCdOnFgur6ioSM8777xydQfr/dOf/lRO7uWXX9ZGjRqF\nZbKyssrJffXVV3Edn2Qh3msrUL5u32/rugHbzNlIJW666aZEq1BlVq92V3CHDonWpPZIJfunG2b7\nxFKf7G/PuuozY8YMFREdMGBAuby8vDzt0qWLiogOHz5cP/nkEy0pKVFV1e+++y78Yt6+fXvNy8sr\nI+s7G7m5udqrV6+wQ1JUVKTTp08Pv5xfd9112qhRIx0/frzm5+erqurKlSu1b9++KiJ65JFHltPr\n66+/1ksuuUQXLFigW7duDaevX79eb775Zm3YsKGGQiFdvnx5OdmKnI2xY8eqiOj++++vs2fP1u3b\nt6uq6tatW3XKlCnavHlzFRF96qmnysh17dpVRURPO+00XbFiRTh969at+uabb+rll1+uK1eujH4A\nkhxzNmwzZyMFSCX779zpruCGDVW950nKk0r2TzfM9omlPtnfnnXV59FHH43pbIwfP15FRM8777yY\n8ieddJKKiN5xxx1l0n1nIyMjQ7/99ttychdffHH4q//FF19cLn/lypXhnoJ4X9QnTZqkIqKjR48u\nlxfL2fj6669VRLRdu3b6448/Rq336aefVhHRgw46KJy2bt26sJ7r16+PS89UIFmdjZScsyEit4nI\nQhFZLSLbRWSziHwkIjeLSLsYMn1F5BWv7Hav/BUiEtMGInKhiLwrIltFJE9EFonIKRWUzxKRiSLy\nlYjsEJF1IjJLRH5ZG/tt1D2ptNZ948bQvDns2QN5eYnWpnZIJfunG2b7xGL2jwOR5NqShMceewwR\nYdy4cTHLnHPOOQC8/vrrUfPPOussunXrVi79hBNOAFy8i+uvv75cfqdOnfjFL36BqoZXzKoqQ4YM\nAWDZsmVVlpk5cyYAw4cPZ5999ola5owzziAjI4PPP/+cn3/+GXAT6/2YHWvWrIlLT6P6pGqcjbHA\nf4H5wHqgKdAHuAG4TER+raor/MIiMhR4DtgOzAI2A6cBdwG/Bs6ObEBE7gDGAauBqUBjYAQwV0T+\nqMu1lDUAACAASURBVKoPRJRvDCwA+gLvAc8DnYCzgFNEZKCqvltbBjDqhlRb675tWygocCtStWiR\naG1qTqrZP50w2ycWs79RE1avXs1PP/0EwEknnRQzCF5RUREAq1atiprfu3fvqOltvBVJMjMz6d69\ne9Qy7dq145tvviEvytevHTt28NBDD/Hiiy/y+eefs2XLFoqLi8uUiefl33dMZsyYwaxZs2KW27Nn\nD6rK6tWrad++PU2aNKF///4sWrSIwYMH88c//pEhQ4bQu3dvQqGU/P6eEqSqs5GtqkWRiSJyM87h\nuA642EtrDkwDdgP9VfV9L/0vwBvAmSIyXFVnBerpi3M0vgGOUtV8L/12nJNzh4j8W1VXBpofh3M0\nnlXV4YG6ZgFzgEdEpLfXbWUYtULbtvDNN25Fqp49E62NYRjGXsAeo+VYu3Zt+O+NGzdWWFZEYq62\n1KFDh6jpDRo0AJxDEQu/zO7du8vp1r9/f1asWBFuv2nTpjRp0oRQKERxcTEbNmygsLCwQr0j6wTY\nunUr27Ztq7Bs5P5Onz6dIUOG8MUXX3DjjTdy4403hlfUOueccxgxYkR4X4zaISXduGiOhsez3m/H\nQNqZQGvgad/R8OrYBfzZ+/d/IuoZ4/1O9h0NT2Yl8ACul2O0ny7uE8IY3Ni3ayN0fQl4EzgA6FfZ\nvhlGPFhgP8MwDKOkpARwL9Z+r0FF23fffbfXdBs7diwrVqyge/fuPP/882zevJmCggJ+/vln1qxZ\nwzvvvBN3nf7+3n333ZXua3FxMccff3xYtmvXrnz88ce88MILXHbZZRxwwAFs376dV155hQsuuIBj\njjkmLsfHqJyUdDYq4FTvd3EgbaD3+2qU8kuBHUAfEcmIkNEYMvO83wGBtO7AfsDXEb0dkTIDo+QZ\nRrXxA/tZrA3DMIz6S/v27cN/r1wZ7TUkMRQVFfHiiy8iIvzrX/9i2LBh5OTklCnjz6eIB7+Hpbr7\n2qBBA4YOHcpDDz3Ep59+ypo1a7j99tvJzMzk/fffZ+LEidWq14hOSjsbInK1iEwQkbtE5E3gL8B0\n4M5AMX9wydeR8qpaDHyPG07WzauzKa5nZJuqrovS7Dfe7/5VaSNCpkfFe2QY8WE9G4ZhGEaXLl1o\n164dqsq8efMqF9hLbNy4MTxP5LDDDotaJtZk9Yro27cvAK++Gu2bcPy0a9eOq666irFjxwLEDFBo\nVI+UdjaAq3AOxhW4id7LccOlggMGc3C9FPnlxcFLF68cgd+KygPkRrQRr4yRhKTaJE2/ZyNdnI1U\ns386YbZPLGZ/o6aMGjUKgDvuuKPCydaqSn5+rNeV2iU7Ozv898cff1wuf+3atdx3331x1zty5EhE\nhC+++IKpU6dWWDY4YX3Pnj0Vls3MzARg165dcetkxCalnQ1V7aCqIaAdcDrQBnhNRM5PrGZGqpJq\nXad+z0a6DKNKNfunE2b7xGL2N2rKddddR7du3di4cSN9+/bl2WefZefOneH877//nilTpnDooYcy\nZ86cvaJTdnY2ffr0QVW56KKL+OijjwA352LhwoX061e9qay9evXiyiuvBOD3v/89N9xwQ3g1LoCC\nggJeeeUVzjnnHM4666xw+qeffsqBBx7IPffcw4oVK/wYZ+zevZvnnnuOO+90A2MGDx5cLb2M6KTq\nalRlUNUNwBwReR83lOkfwBNedmTPRSR+uu/65kekV1a+ujJGEpJqa92nW89Gqtk/nTDbJxazv1FT\ncnJymD9/PqeddhpffPEFw4cPJxQKkZubS2FhYfhrvYjs1WVe77rrLgYMGMAnn3zCYYcdRpMmTSgp\nKWHnzp20atWKf/7znwwbNizuev/+97+zY8cOpkyZwq233sqtt95KdnY2IkJBQUG43IABA8rIffHF\nF1x55ZVceeWVZGRk0LRpU/Ly8sKOx1FHHcWf//xnjNojpXs2IlHVVcAXQOtAcL+vvN9yC4OKSEOg\nK25Z3O+8OgqBNUAzEWkfKUPpvIvg/Iwvvd/9iU40mZiISMytf//+iEjMLvcJEyZYfg3ygaTWLzI/\nsmcj2fSLNx9Sy/7plD9hwoSk1i/d8+uT/Y3qU5n9unfvzgcffMCDDz7IgAEDaNWqFVu3bqVx48Yc\ncsghXH755bz88sucd9555eqtqO6qHLdYdRx99NG88847DBs2jJYtW1JcXEz79u0ZM2YMH374IYcc\nckjcdQKEQiEeeOAB3nrrLc4//3y6dOnC7t27KSoqokuXLgwdOpQHHniA2bNnh2UOOOAAZs+ezZgx\nYzj88MNp2bIl27Zto0WLFhx33HHcf//9vP322zRr1qzS/U0V/Osu2ra3kHQL+yAi64BWQI6qForI\naOCfwExVHRVRdiDwOrBEVQcE0h8DLgAuUtUZETJ/xS2ZO1FVJwbSf8AF8eumqj9EyCwFjgUGqOqS\nCnRXgHQ7JkbdsXYtdOzoejjWRVvOwDAMI8nwX3LsWWcYtUu811agfJ16HinXsyEiPUSk3HAlEQmJ\nyGTcvI3XvR4KgNnARmCEiBwRKJ8J3Oz9OyWiuoe83/EikhuQ6QL8L7ATeDSGzN8l4C6Ki15+LPBZ\nRY6GYVSH1q3d78aN4C07bhiGYRiGkTTUSs+G9+LeFzgOt4RsW9wKUBtww5OWAO94gfRq2tZY4G+4\nQHk/AJtwE8T74YZErcT1IPwQkBmKczp2Ak8DW4DTcMOeykT8DsjcgYsK/iPwHJABDAdaAH9U1Qcj\nymfgIpL3Bf7j/d0JOMtrd6CqvlfJvlnPhhE3LVvCli1uKJXvfBiGYSQr1rNhGHVDsvZs1MjZEJHD\ncZGzRwCVDXDbinvRf0hVP6hBmwd6bR4L7ItbTnYrbt7EXOA+VS0Xu15E+gLjgT5AJrACeAS4V2MY\nQUQuxPVkHAAUA+8Dt6vqKzHKZwHXAefgHI18XIDBm1T1y2gyEfLmbBhx07MnfP01fP459OqVaG0M\nwzAqxpwNw6gbktXZqNYwKm8o0/O4L/iXAJ8Dd+Feso/DvZwfBBzvpd2Fm7h9KfBfEXlORKoV4E5V\nP1PVP6rqYaraRlUbqWpLVe2rqn+L5mh4cstU9ZT/z959h1lVXf8ffy+aNAXpKCI2mgUTu9GA2MUW\no9EYozHf+I3GElss0cioP0uUqLEnJopKvtHYUuwVe40IWABFioiAgCAgCML6/bHv6GW8U5g5M/uc\ncz+v57nPnTnl7jXrIXHW7LPXLlzb1t0Hufsfqys0Cvfc7u7bu3t7d+/g7rtVV2gUrl/q7sPdva+7\nt3b37u5+eF0KDUmH6hY2plmeOlJlMf95odzHpfyLSF7Va2bDzJYD84HrgVFVF0TXcN9GwFHASUBH\nd19rjQfPMc1sxGdmmcv/D38I998P99wDhx4aO5qGyWL+80K5j6uc8q+ZDZHGkdaZjfrus/Fb4AZ3\nX7omN7n7FOBiM/sD8Kt6ji3SaLLY676y/W0eZjaymP+8UO7jUv5FJK9y1/o2yzSzIfVxwQVw8cVQ\nUQH6fUVE0k4zGyKNI60zG5lrfSsiq8vTzIaIiIjkSyLFhpl1MrOBhRa4xcd/bmb/MrO/m9kOSYwl\nIqvL0wJxERERyZf6rtmo6hLCwu9ulQfM7GTgj0XXHGRm27r7uwmNKSJ8M7Px6adx4xARERGpKqnH\nqL4HPF1lwfiZwMeE9rc/Agw4I6HxRKRAMxsiIiKSVkkVG+sTdgoHwMwGAhsQNth7wd3vJWy4t2tC\n44k0iiz2us/TzEYW858Xyn1cyr+I5FUi3ajM7Avgj+5+buH7/wVuBrZ19zcLxy4Dfu3ubRs8YE6p\nG1V8Wex1/9VX0KpV+HrFCmjePG48DZHF/OeFch9XOeW/sgOOiDSOvHajmgn0L/p+L+BzYGzRsXWB\nNdqXQ6SpZbHXfYsW0KkTuMO8ebGjaZgs5j8vlPu4lH8RyaukZjb+DPyMsCZjGXADcL+7H1F0zeNA\nN3ffusED5pRmNqS+Bg6E996D8eNhiy1iRyMiIiJpl7WZjcuBRYTuU38iFBwVlSfNrAOwC/BSQuOJ\nSJE8rdsQERGR/Eik9a27f2hmWwCHAg78292nF12yCfBn4P+SGE9EVqeOVCIiIpJGSe2zgbt/AlxX\nzbk3gTeTGktEVldZbGhmQ0RERNIkqceoRCSiyseoNLMhIiIiaVKvmQ0zG054XGqNuftF9blPpClU\nVFRkst995czGu+/Ca6/FjaWUAQNg7bVrvy6r+c8D5T4u5T8e5T4u5T//6tWNysxW1XdAd9dsSjXU\njSq+rPa6v/deOOyw2FFUr3//0C2rNlnNfx4o93Ep//Eo93Ep//E0VTeq+q7ZGFri2GnAvsDfgGeB\nWUAPYAjwE+Ah4Op6jifSJLLa637PPeGAA2DWrNiRfNsbb8CECbBsGbRuXfO1Wc1/Hij3cSn/8Sj3\ncSn/+ZfUPhtHE3YM39Xd/1vi/LbAc8Dx7n5HgwfMKc1sSB716gUffwxTp8KGG8aORkRERCB7+2yc\nBtxdqtAAcPc3gH8ApyY0nohkRPfu4X327LhxiIiISNNLqtjoB8ys5ZpPgP4JjSciGaFiQ0REpHwl\nVWwsIuwQXpPvAYsTGk9EMkLFhoiISPlKqth4ENjVzP5gZqs1uDSzdczsKkIx8p+ExhORjFCxISIi\nUr6SKjZ+C0whrN34yMxGm9ndZjYamE5Yq/Fh4TqR1FKv7+StSbGh/Mej3Mel/Mej3Mel/OdfIt2o\nAMysC3Apoc1tm6JTS4FRwG/dfV4ig+WUulHFp37fyfv73+HII8M+IP/4R83XKv/xKPdxKf/xKPdx\nKf/xpH2fjW9x97nA/5rZiYSF4B2AhcB77v5VUuOINCb1+07emsxsKP/xKPdxKf/xKPdxKf/5l9jM\nhjScZjYkj955B7bYAvr1C5v7iYiISHxZ22dDRKQkLRAXEREpX0mu2egL/BrYDlgXaF7qOnffOJEB\nc0gzG5JHq1ZBq1awciUsWwZrrRU7IhEREcnUmg0z2wl4CmgNrARmA6XWaei3aJEy06wZdOsGn3wC\nc+bABhvEjkhERESaSlILxC8DWgHHA7dqQbiIFOvRIxQbs2ap2BARESknSa3Z2A64z93/rEJDskz9\nvhtHXddtKP/xKPdxKf/xKPdxKf/5l8iaDTNbAPzZ3c9qeEjlS2s24lO/78bxs5/B7bfDX/4C//M/\n1V+n/Mej3Mel/Mej3Mel/MeTtW5ULwLfSeizRKJRv+/GUdeZDeU/HuU+LuU/HuU+LuU//5Ka2dia\nUHCc4O53NPgDy5RmNiSvrroKzjgDTjkF/vjH2NGIiIhIprpRAQcBTwMjzewXwBvAglIXuvtFCY0p\nIhmhvTZERETKU1LFRvEc2C6FV3VUbIiUmcpiY9asuHGIiIhI00qq2Bia0OeISA716BHeNbMhIiJS\nXhIpNtx9dBKfIyL5pMeoREREylNS3ahEckH9vhtH587QvDl89hksX179dcp/PMp9XMp/PMp9XMp/\n/iXSjUqSoW5U8anfd+Pp2TOs2fjoI+jVq/Q1yn88yn1cyn88yn1cyn88WdtnAzNbz8xuNLPJZrbU\nzFZWea0ys5UJjNPJzH5hZg+Y2Qdm9oWZLTCz583s51aZuW+u71MYu7rX32sY6xgze83MFhXGeMbM\nhtVwfRszu9DMJhZyMNvM7jaz/g39uaVpqN9346nLo1TKfzzKfVzKfzzKfVzKf/4ltc/G+sDrQDfg\nXWALYBqwHNgYaA68BSx0990aONbxwI3ATOAZYDrQAzgE6ADc5+6HFV3fB/iwMP4/S3zk2+5+f4lx\nRgCnAx8B9wJrAUcAnYCT3f2GKtevBTwF7EzIxdNAb+AwQh6GuvtrtfxsmtmQ3Np7b3j8cXjwQRhW\nbckuIiIiTSFr+2xcAHQH9nH3J8xsFXCbu19kZr2AW4A+wB4JjDUROMDdHyo+aGa/BV4Dfmhmh5Qo\nIN6q6x4fZrYzodD4ANjO3RcWjl8J/BcYYWYPuvu0ottOJxQa97j74UWfdTehyLnVzLZ0VRJSptSR\nSkREpPwk9RjV3sBj7v5E1RPuPoPw1/22wIUNHcjdn6laaBSOzwZuLnw7uIHDHF94v6Sy0CiMMQ24\ngTDLcWzl8cKjW8cDDpxVJa5/A88DAxOISySz1JFKRESk/CRVbPQA3i76fiXQpvIbd18MPAEcmNB4\n1fmqynux9c3sl2b228L7ljV8zlBC4fBoiXOPFN6LHwfbBNgAmFRltqPqPdqPRMqWig0REZHyk9Rj\nVIuAVkXfLwDWr3LNQsKajkZhZi2AowvflioS9iy8iu8ZDRzj7h8VHWsHrAcsKsyWVPVB4b1v0bF+\nhfdJ1YRXec9m1cUvkncqNkRERMpPUjMb0wh/2a80Fhha+MUdM2tG+EV/RkLjlXI5sDnwUJXHuZYA\nFwHfBToWXoMJi8uHAE+ZWdui6zsU3hdSWuXxjg28R1JI/b4bT12KDeU/HuU+LuU/HuU+LuU//5Lq\nRnU58Eugm7uvMLOjgDuA8cDjwK7A9sCl7n5+gwf89vinANcA7wHfc/cFdbinOfACsANwqrtfWzi+\nHqEomuHuvUvc1xL4EvjS3dsUjh0JjAJGufvRJe7ZE3iMsK5l3xpiUjeqyNTvu/GMGweDBsGAAfDu\nu6WvUf7jUe7jUv7jUe7jUv7jyVo3qlsJj051BWa6+ygz2wY4BahcG3EXcElC433NzE4iFBrvALvX\npdAAcPeVZvYXQrGxK3Bt4VTlLESHkjd+c7x4nPrcIymkft+Npy7dqJT/eJT7uJT/eJT7uJT//Evk\nMSp3n+Tul7v7zKJjpwE9Ce1g13P3I919aRLjVTKzUwlFwnhgN3efs4YfMbfw3q7ygLsvIezh0d7M\nepS4p3LdRfH6jAmF976UVuqeaplZta8hQ4ZgZtVOO1ZUVOh8A84DqY4vy+c7dwaoYP5843e/K30/\nKP+xzldUVKQ6vryfV/7jna/8Pq3x5f288t+45yuPl3o1lUQeo4rBzM4GLgPGAHu6+/x6fMZlwNnA\nje5+UtHx24GfAj9395FV7rkIOB+40N0vLDo+lbCJ38buPrXKPc8BuxAKomdriEePUUmu9egRZjZm\nzID1q7aQEBERkSbTVI9RJbVAvCQzG2Bmp1loNVvdI0b1+dzfEQqNNwiPTlVbaJjZd61E+WZmuwOn\nEVrcjqpyunK/jvPMrGPRPX2AE4FlwG3V3HNF8XhmdhCh0HinpkJDpByoI5WIiEh5aZHEh5jZBcAJ\nwOaVv/ib2R7Ag3zTEvdsM9vO3ec1cKxjCJsDriQs8D61RC0xxd1vL3x9FbCpmb0EfFw4thVhnwwH\nfufurxTf7O4vm9lVhF3Bx5nZfYWf43BCR6mT3X16lTGvAvYHDgVeNbOnCTMdhxE6Yv28IT+3SB6o\n2BARESkviRQbwL7AxCozDJcBq4ALCJv+/Qo4FfhdA8fqU3hvVvi8UkYDlcXGHcAPgO0KcbYEZgF3\nA9e7+4ulPsDdzzSz8YSZjOMIxc2bwJXu/nCJ65db6Dp1DvDjQmwLgfuB4e4+oeo9IuWmstiYNStu\nHCIiItI0knqMqg/wdTNLM+sFbAPc5O7/r7Ae4hngoIYO5O4Xunszd29eeC/1Glp0/a3ufoC7b+Tu\na7t7a3fv4+4/rq7QKLr3dnff3t3bu3sHd9+tVKFRdP1Sdx/u7n0L43R398NVaGRHdQuvJBm1daRS\n/uNR7uNS/uNR7uNS/vMvqX02lgEjKvfQMLPDgb8T1lM8Uzh2BfBLd09s7UbeaIF4fKZ+341qxAj4\nzW/g1FPh6qu/fV75j0e5j0v5j0e5j0v5jydrC8TnAsW9ZYYAK4DitRCtEhxPpFGo33fjqm3NhvIf\nj3Ifl/Ifj3Ifl/Kff0nNbPyHsJ/GEEKnpleBMe6+e9E1DxAWkFe3F0XZ08yG5N3jj8Pee8PQofDU\nU7GjERERKV9Zm9m4gtClaSwwsfD1HypPmllz4HuEVrUiUqbUjUpERKS8JNKNyt2fN7NhhK5NAKOq\nLKT+HmFX7geSGE9EsknFhoiISHnJ7A7ieaTHqCTvVq6EVq1g1SpYvhxatowdkYiISHnK2mNUIiK1\nat4cunQJX3/6adxYREREpPElUmyY2ffr+kpiPJHGon7fja+mR6mU/3iU+7iU/3iU+7iU//xLqhvV\nqlouccAAd/fmDR4wp/QYVXzq99349twTnnwSHnkE9tln9XPKfzzKfVzKfzzKfVzKfzxN9RhVIgvE\ngYuqOd4R2JbQFvdB4L8JjSfSKNTvu/HVNLOh/Mej3Mel/Mej3Mel/OdfkywQN7OfAdcDO7r7240+\nYEZpZkPKwRlnwFVXwe9/D2edFTsaERGR8pSrBeLuPpKwm/hlTTGeiKRXjx7hfdasuHGIiIhI42vK\nblRvAbs24XgikkLaa0NERKR8NGWx0QtQV32RMqdiQ0REpHw0erFhZi3M7DjgUOCNxh5PRNJNxYaI\niEj5SGqfjSlm9mGJ13RgCfAnYAXw2yTGE2ks6vfd+LTPRjop93Ep//Eo93Ep//mX1D4bU6s5tQr4\nDHgVuM7d32vwYDmmblTxqd934/vqK2jVKny9fDm0KGrArfzHo9zHpfzHo9zHpfzHk6l9Nty9TxKf\nIxKb+n03vhYtoEsX+PTT8OrZ85tzyn88yn1cyn88yn1cyn/+Nck+G1I3mtmQcrHllvD22zBmDGy9\ndexoREREyk9m99kws1ZmtpWZ7Vp4VwcqEVmNFomLiIiUh8SKDTPrYGZ/IqzReAt4tvC+wMz+ZGYd\nkxpLRLJNxYaIiEh5SGTNhpmtA7wIDAQWA88DnwA9ga2B44BdzGwnd/88iTFFJLtUbIiIiJSHpGY2\nziUUGjcBvd19sLsf4e6DgQ2BG4ABqPWtiKBiQ0REpFwkVWwcArzq7ie6+4LiE+6+wN1PBl4pXCeS\nWur33TR69Ajvs2atflz5j0e5j0v5j0e5j0v5z7+k9tlYBlzl7tXOXJjZZcBp7t66wQPmlLpRxad+\n303j0Udh331hjz3giSe+Oa78x6Pcx6X8x6Pcx6X8x5O1blRfAN1quaZL4TqR1FK/76ZR3WNUyn88\nyn1cyn88yn1cyn/+JTWz8SiwE7Cdu08qcX4T4E3gFXffu8ED5pRmNqRczJwJ668P3bpp3YaIiEgM\nTTWzkVSxsTvwBPA5cD3wNN90oxoCnAx0APZ29yeq+Ziyp2JDysWKFdCqFTRrBsuXQ/PmsSMSEREp\nL5kqNgDM7JfAtUCpTfxWAKe6+02JDJZTKjaknHTpAvPmhUXilY9ViYiISNNoqmIjkX02ANz9T4XH\nqY4CvkuYyVhIeHxqlLtPS2osEcm+Hj1UbIiIiORdYsUGQKGguCTJzxSRfOreHd55R2s2RERE8iyp\nblQiuaB+302nVEcq5T8e5T4u5T8e5T4u5T//EluzAWBm3YFtgHWBkks+3f2OxAbMGa3ZiE/9vpvO\naafBNdfAlVfCmWeGY8p/PMp9XMp/PMp9XMp/PJlas2FmLYE/AUdT82yJAyo2JLXU77vplJrZUP7j\nUe7jUv7jUe7jUv7zL6nWt5cDZwGTgb8BM4CvSlzq7n57gwfMKc1sSDm57Tb4+c/hpz+FO/QnCBER\nkSaVqZkN4EjgfeA77q5dwkWkVpUzG7NmxY1DREREGk9SC8S7AQ+p0BCRuurRI7yrG5WIiEh+JVVs\nfASsk9BniUgZKLVmQ0RERPIlqWLjNmA/M+uY0OeJSM516xbeP/0UVq6MG4uIiIg0jqSKjd8DLwBP\nmNlQM9Msh2SS+n03nZYtoVMnWLUq7CQOyn9Myn1cyn88yn1cyn/+1asblZmtIrSxXe1w0delPtQI\n3ahK7r8h6kaVBur33bQGDoT33oNx42DLLZX/mJT7uJT/eJT7uJT/eNLejeq5et7X4H9NZtYJOAQY\nBmwJrAcsB8YTHue6zUv8qzWznYHzgR2B1oTuWbcC17n7qmrGOgY4ERgArATGACPc/aFqrm8DnAMc\nAfQGPgdGA8PdfUL9fmJpSur33bS6dw/FxqxZodhQ/uNR7uNS/uNR7uNS/vMv0R3Em4KZHQ/cCMwE\nngGmAz0IBUgH4D53P6zKPQcB9wFfAHcD84EDgX7Ave7+oxLjjABOJyx+vxdYi1BEdAJOdvcbqly/\nFvAUsDPwOvA0oeA4jFAMDXX312r52TSzIWXlxz+Gu+6CO++Eo46KHY2IiEj5SPvMRkwTgQOqzi6Y\n2W+B14Afmtkh7n5/4fg6wC3ACmCIu79ZOH4BoSA41MwOd/e7iz5rZ0Kh8QGwnbsvLBy/EvgvMMLM\nHnT3aUUhnE4oNO5x98OLPutu4J/ArWa2ZalZF6mfxcsXM+WzKXW6tl2rdmzUcaOv/4cl6aCOVCIi\nIvmWSLFhZlOAq9392hquORE4w903bshY7v5MNcdnm9nNwCXAYOD+wqlDgS7A7ZWFRuH6L83sfMJs\nxAmEGY9KxxfeL6ksNAr3TDOzG4DfAccCFYWfzQr3OGEn9eK4/m1mzwO7FuIaveY/tZTy6oxX2ePO\nPep8fZ+Ofdh/s/0Z1ncYQ/oMoXWL1o0YndSFig0REZF8S2pmY0Ogtra36wJ9EhqvOl9VeQcYWnh/\ntMT1zwFLgZ3MrJW7Ly+6x6u55xFCsbEbhWID2ATYAJhYZbaj+J5dC587ui4/iNSuXat2bNFtizpd\n+8miT5i6YCrXv349179+PW1btmX3jXZn/777s99m+9FrnV6NHK2UomJDREQk35ryMaq1CWsXGoWZ\ntQCOLnxbXCT0K7xPqnqPu68szMoMADYGJphZO8Ki80XuXupXoA8K733rMkaVezar8YeQNbJjrx0Z\nf8L4Ol27ctVKXp/5Og9NeogH33+Qt2a9xX8m/Yf/TPoPAIO6D2L/vvvTt3NfjPQ9atW3c1926LVD\n7DASp2JDREQk3+pdbJhZ78ovC+8di44Va06Y+TgE+LC+49XB5cDmwEPu/kTR8Q6EWYqFJe8Kq0XO\nzgAAIABJREFUx61wHUXvNV0Pq8/k1OceaULNmzVnx147smOvHbl46MV8/PnHPPz+wzz4/oM8+eGT\njJ09lrGzx4aWA7vFjvbbWjRrwdRfT2X9ddaPHUqiKouNWbPCe0VFhXquR6Lcx6X8x6Pcx6X851+9\nu1EV7bWxJn8GPsPdr67XgDXHcgpwDfAe8D13X1B0bhLhMafN3P1bxY6ZvQjsBOzk7q+a2XrADGCG\nu3+reDKzlsCXwJfu3qZw7EhgFDDK3Y8ucc+ewGPAY+6+bw0/h7pRRbDsq2U8O/VZHv3gUa7Z9xqO\nuj9dbZGenfosH33+Ef864l8c2O/A2OEkasYM2GAD6NEDPvlE/dZjUu7jUv7jUe7jUv7jaapuVLh7\nvV7AyKLXKsIeFCNLvP4KXAHsVd+xaonjpML444FuJc6/Xjj/nWruf7twvl/h+3aF7xdWc32XwvlP\nio4NKxz7VzX3HFo4//dafhav7TV48GAHfPjw4V7K8OHDdb4B59OY39MfPd2pwC8afVH0/CR9/ssv\n3cG9eXP3lSvTmf9yOT98+PBUx5f388p/vPOV36c1vryfV/4b93zl8Zpe3oDfw+vySmSfjcIsx4Xu\nfmGDP2zNxj0VuIpQaOzu7nNLXDMKOBI40t3vqnKuBeERpxZAe3dfUTg+A+gJrO/us6rcsxPwIvC8\nuw8uHNuEsEngRHcfUCKGcwldsi529+E1/Dya2ZBvuWPsHRzzz2P44YAfcu+P7o0dTuI6dYLPPoM5\nc6Br19jRiIiIlIemmtlolsSHuHuzCIXG2YRCYwywW6lCo+Cpwvs+Jc59H2gDvFRZaBTdY9XcU/kY\n1NOVB9x9MmFzwX5m1qcu94jU1aDugwAYN3tc5EgahxaJi4iI5FcixUZTM7PfAZcBbxBmNObXcPm9\nwFzgCDPbpugzWgP/r/DtTVXuubnwfp6ZdSy6pw9wIrAMuK2ae66wop3jCruX7wK84+7P1vrDiVTR\nv0t/WjRrwQfzP2DJ8iWxw0mcig0REZH8ytwO4mZ2DHAhsBJ4ATi1xK7QU9z9dgB3X2RmxxGKjtFm\ndhfwGXAgoX3tPe7+j+Kb3f1lM7uKsCv4ODO7D2gFHE7oKHWyu0+vMuZVwP6E9RmvmtnTQG/gMGAJ\n8PMkfn4pMnEiXHdd3a7t0gXOOQdaZ28jv7VarMWALgMYP2c84+eMZ8deO8YOKVFVO1KJiIhIfmSu\n2OCbjQGbAadWc81o4PbKb9z9X2Y2GDgP+CHQmrDG4jSg5K7n7n6mmY0nzGQcRyhu3gSudPeHS1y/\nvNB16hzgx4XYFhJ2Mh/u7hPW6KeU2s2YATfcUPfrW7SA889vvHga0aAegxg/ZzzjZo/LXbHRo0d4\n18yGiIhI/mTuMSp3v7CwRqR54b3Ua2iJ+15y92Hu3snd27r7IHf/o9ewGtvdb3f37d29vbt3cPfd\nShUaRdcvdffh7t7X3Vu7e3d3P1yFRiPp2zfMbNT2Gl5Yk3/FFfDppzV+ZFp7fW/VbSsAxs4aGzmS\n5BU/RpXW/JcD5T4u5T8e5T4u5T//EulGJclQN6pGNGwYPPwwnHwyXFtyMgtIb7/vxyc/zt6j9maX\n3rvw/LHPxw4nUX/9K/ziF3DMMXD77enMfzlI67/9cqH8x6Pcx6X8x5OpblQiqXf55WAGN98MkydX\ne9nw4dV2Jo6quCNV3v5PuXhmI635LwfKfVzKfzzKfVzKf/5pZiNFNLPRyI49FkaOhMMPh7vuqvXy\ntOk+ojtzlszhw1M+ZKN1N4odTmJefx223x6+8x14883Y0YiIiJSHTM5smFl3M9vPzH5iZkeXeiU5\nnsgaueii0I3q7rvDb7gZk9f9NtT6VkREJL8SKTbMrKWZ3Qp8DDwI3AmMLPGqujeFSNPZYAM45ZTw\n9VlnQcZmkLbqXlgkPjtfi8SLi41Vq+LGIiIiIslKqvXtxcDPgMnA34AZwFclrsvWb3eSP+ecA7fc\nAqNHwyOPwH77xY6ozvI6s7HWWtCxIyxYAPPnhy1RREREJB+SKjaOJOxb8R13/yKhzxRJ3rrrwnnn\nwZlnwtlnw957Q/PmsaOqk0E9QrGRt5kNCLMbCxaE2Q0VGyIiIvmR1JqNbsBDKjQkE048EXr3hrff\nhjvvXO1Umvt99+/Sn5bNWjJ5/mQWL18cO5xEVT5KdcUVFVHjKGdp/rdfDpT/eJT7uJT//EukG5WZ\nvQ886+6/aHhI5UvdqJrQnXfC0UdDr14waRK0aQOkv9/3oJsHMW72OF7+n5dztZP4j34E99wDkO78\n51na/+3nnfIfj3Ifl/IfT1N1o0rqMarbgJPMrKO7L0joM0Uaz09+An/4A4wdG3YZP+ssIP39vgd1\nD8XG2Fljc1VsVM5sbLbZcC65JG4sVTVrBgcfDAMGxI6kcaX9337eKf/xKPdxKf/5l9TMRnPg78BG\nwNnAG+7+eYM/uMxoZqOJPfYY7LNPWJ08eTJ06hQ7olqNeGkEv3niN5yw7QncOOzG2OEk5g9/CMto\n0mrbbTPZLVlERKRaWZvZWFH09ZOAV/4ARQxwd8/GalzJv732gt13h6eegksvhREjYkdUq7x2pPqf\n/4EVK2DRotiRrM4drrgibDa4ZAm0axc7IhERkWxJamZjdB0vdXffrcED5pRmNiL473/Dn61btQpr\nNzbcMHZENZqzZA7dR3Rn7VZrs+CcBTSzRPfllBK++10YMyZ0Sx48OHY0IiIiycjUDuLuPqSOLxUa\nki7bbAM//jEsXw6/+13saGrVrV03urfrzqLli5i2YFrscMrCTjuF91deiRuHiIhIFunPoiKXXAIt\nW8KoUWHBeMrleb+NNNqxsA5fxYaIiMiaU7EhstFG8KtfgTsV3/kOtG6dvte228KyZQBs1W0rAMbO\nyl+xkcZ+68XFRp6fcExj7suJ8h+Pch+X8p9/9VqzYWbDAQeud/f5Rd/Xyt0vWuMBy4TWbEQ0dy5s\nuy02bVrd/iHH8MorsMMOjBo3ip8+8FMOGXAI9/3ovthRJSqN/dbdw67m8+fD1KmpX9ZTb2nMfTlR\n/uNR7uNS/uNJezeqyqbIdwHzi76vCxUbkj5dusCHHzL8ggvg/PNjR7O6Y46Bf/wDJkyAHXb4uiNV\nHmc20thv3SzMbjz8cKj38lpspDH35UT5j0e5j0v5z7/6zmwMKXz5qrsvLfq+Vu4+eo0HLBOa2ZCS\nLrwQKirgnHPgsstYvnI57S9tz4pVK1h07iLat2ofO8Lcu/hiuOACOPVUuPrq2NGIiIg0XKpnNqoW\nDCogRBpR//7hfcIEAFo1b8XArgMZO3ss42ePZ6cNdooYXHnQInEREZH60QJxkbSrUmyAOlI1te23\nD49TvfkmfPll7GhERESyo17Fhpm1bejASXyGSFnYbLPwm+4HH4RttvmmI1XedhJPqw4dYMCAsB3L\nmDGxoxEREcmO+s5sTDWzs+pTMJhZOzM7C5hSz7FFykvbtmFV8ldfwYcfAprZiEGPUomIiKy5+hYb\nDwGXArPM7A4z28/MOlR3sZl1NLNhZnYHMKtw70P1HFuk0aS233eVR6m26v7NzMYqXxUrqsSlNv/k\nfyfxNOe+HCj/8Sj3cSn/+VevblQAZjYIuBgYBhiwCvgAmEFoh2tAJ6AXsGnh+5XAg8AF7j6+ocHn\njbpRxZfaft+nnQbXXAOXXw5nnw1Azz/0ZNbiWUw+ZTIbr7tx5ACTkdr8A2+/DVtuGSaZpk6NHU3y\n0pz7cqD8x6Pcx6X8x5PqblQA7j4WONDMegM/A/YEtgP6Vrl0OfAi8Dgw0t1n1HdMkcaW2n7fpRaJ\ndx/ErMWzGDtrbG6KjdTmn7BmY+21Ydo0+OQT6NkzdkTJSnPuy4HyH49yH5fyn3/1ntko+WFmawHr\nAV0JO4rPBT529+WJDZJjmtmQaj37LAwZEhYOvPwyAGc9cRZXvnQlFYMrGD5E/2fdFPbYA556Ch54\nAA4+OHY0IiIi9ddUMxuJtr519y/dfYq7v+burxe+VqEh0lCVMxvvvQeFYvTrncS1SLzJaJG4iIjI\nmtE+GyJZ0K0bdOwICxfC7NmAOlLFoGJDRERkzajYEMkCs2+t2+jXuR+tmrfiw88+ZNGXiyIGVz52\n2CG8v/566EQsIiIiNVOxIZIVVYqNls1bMrDrQADGz1Fzt6bQtStssgl88UXoTiUiIiI1U7EhUiTV\n/b6r6UgF+dlJPNX5L6h8lKqwTj83spD7PFP+41Hu41L+8y/RblTSMOpGFV+q+33/61+hBdLee8Oj\njwJw1ctXccbjZ3D8Nsdz0/43RQ6w4VKd/4Lrr4eTT4ajj4bbb48dTXKykPs8U/7jUe7jUv7jyWQ3\nKpGsS3W/7xpmNvKySDzV+S/I607iWch9nin/8Sj3cSn/+aeZjRTRzIbUaMUKaNs2rExesgTatuXT\nJZ/SbUQ32rdqz8JzFtLM9PeDxrZiBayzDixbBnPnQufOsSMSERFZc5ma2TCzFmbW1iqj/ub47mb2\nRzO7zMw2SmIskbLVsiVsumn4etIkALq260rP9j1ZvHwxUz6bEjG48tGyJWy7bfj6tdfixiIiIpJ2\nSf0Z9EpgPrBO5QEzOwJ4AjgZOBt43cw2SGg8kfJU6lEq7bfR5LTfhoiISN20SOhzvg+MdveFRceG\nAwuAU4AewGXAGcCpCY0pUn4GDIB//nO1YmOrblvx6AePMm72OA4ZcEjE4MqHio10+eQTePXV2FGU\n1qULfO97YascEZFylFSxsQHwUuU3ZrYJ0A+42N1HFY4NBvZOaDyR8qSZjVSoLDZefRVWrYJmWioT\nzcSJsN12sCjF+1ruvjvceCP07Rs7EhGRppdUsbEO8HnR998rvD9adOwdYLeExhNpFBUVFenu+Z3z\nvTZSn/+C9deHXr1gxozwy+6AAbEjaris5L7YF1/AYYeFQmPQIOjTJ3ZEq3OHF16Ap56CLbeEs8+G\nc8+FNm2+fW0W858Xyn1cyn/+JdKNysymAi+5+5GF728HDgU6uvuKwrHrgaPcvWODB8wpdaOKL/X9\nvhcuhI4doXXr0JGqWTNWrFxB+8vas3zlchaes5B11lqn9s9JqdTnv8hhh8G998Ktt8Kxx8aOpuGy\nlPtKv/gF/PWvYcbgjTdg7bVjR/Rtc+eGIuPWW8P3G28MN9wA++yz+nVZzH9eKPdxKf/xZKobFfAy\ncKCZHWBmexIKjacrC42CPsDHSQxmZoea2XVm9ryZfW5mq8zszmqu7VM4X93r7zWMc4yZvWZmi8xs\ngZk9Y2bDari+jZldaGYTzWypmc02s7vNrH8SP7c0vtT3++7QAXr2DH1Xp08HoGXzlmzedXMAxs8e\nHzO6Bkt9/ovkbSfxLOUe4I47QqHRujXcc086Cw0Iazb++ld4/nnYYgv48EPYd99QrH5c9F/ErOU/\nT5T7uJT//EtqZmMr4FVgrcKhlcCu7v5K4XxrYDZwn7v/PIHx3gK2AhYRCpj+wCh3P7rEtX2AD4G3\ngH+W+Li33f3+EveNAE4HPgLuJfxsRwCdgJPd/YYq168FPAXsDLwOPA30Bg4DlgND3b3GRpma2ZA6\nGToUnnkGHnnk6z+PHvuvYxn51khu3O9GTtjuhMgBlocXX4RddgmPx4zL/hNsmfLuu2GdxhdfwC23\nhBmOLFixAq65BioqQuzt28NFF4Ud6Vsk9VCziEgdNdXMRmKb+hUKjmMK397l7q8XndsZOAu4wd2f\nSGCsIcBH7j65sPD8GWovNkbWtdApxPsC8AGwXWWXLTPbEPgv0A7o7+7Tiu45F7gEuMfdDy86fiCh\nyHkX2NJrSLiKDamTX/0KbroJrr4aTg3N3a5++WpOf/x0OrXpRNe2XSMH+G0H9D2AK/e6MnYYiVq6\nNEw0ffVVeLotrX9Zz5slS2D77UPBcdRRYYYja52epk+HX/86NJaDsN7kpz9NZ6OBzTeHvfaKHYWI\nNIamKjYS+1uKu48jtLYtde4l4OAExxpd9G1jJOj4wvslxe183X2amd0A/A44FqgAKGxmeDzghKKq\nONZ/m9nzwK7AYKA4dpE1V2KR+B4b70Fza878pfOZv3R+pMCqN+nlSVy020W0aVliZWxGtWkDW28N\nr78eXkOHxo4o/9xDrf3uu2FR/k03Za/QAOjdGx54AB58EE46CcaODa80MoMPPghrTURE6qNRJm7N\nbF2gvbt/1BifX0/rm9kvgc7APMKC9uoecB9KKBweLXHuEUKxsRuFYgPYhND+d2LxbEeVe3YtfO7o\nesYvEpQoNrbsviWfnPEJ85bOixRU9fb/v/2Z/Nlk3p//Plt13yp2OInaccdQaLzyioqNpnDbbWEm\no23bsE6jffvYETXM/vuHfzc33wwfpem/lgXPPgtjxsD998OZZ8aORkSyKrFiw8zWBi4EfgJ0Jfyy\n3rxwbkfgAuB8d38zqTHX0J6F19fMbDRwTHFRZGbtgPWARe4+u8TnfFB4L+6Y3q/wPqmasSvv2WwN\nYxb5thLFBkDXdl3p2i59j1Bt3m1zJn82mYlzJ+ay2LjuOm3u1xTGjYMTTwxf33hjeLwnD9q2hdNP\njx1FaffeGxayP/CAig0Rqb9EnhA1sw6EjlSnAjOB91j98abxhL/sH5nEeGtoCXAR8F2gY+FVuc5j\nCPCUmbUtur5D4b14N/RilceLW/jW5x5JoUz0+u7VK/yGMns2fPZZ7Ghq1b9zKI4mzJ1Qy5UZyX+R\n4p3Es77UKs25X7Qo/NK7bFloM3zMMbXfkzVpzP8++4RuXy+9FHZpz6s05r6cKP/5l9RytPOAgcCx\n7v4d4J7ik+6+BHiO8BhRk3L3T929wt3fcvfPC6/ngb0IHbQ2BTLSy0Qa24UXXhg7hNo1awb9CpNp\nEyfGjaUO+ncpFBvzai82MpH/IhttBF27wqefwpQpsaNpmLTm3h1++UuYNCm0jr3++tgRNY405r99\ne9h77/D1P0v1csyJNOa+nCj/+ZdUsXEI8Li7317DNdOA9RMar8HcfSXwl8K3uxadqpyF6EBplccX\nNPCeaplZta8hQ4ZgZtX+JaCiokLnG3B+8ODBqY7v6/MrClvYVHmUKjXxFZ3v1yUURhPnTsxP/gvn\nzVaf3UhbfGtyfvjw4amM789/hr//Hdq1g8GDK2jXLl3xJXU+rfk/5JDwfv/96c5fQ85X7vOQ1vjy\nfl75b9zzlcdLvZpKUvtsLAP+6O5nF76vAC5w92ZF11wB/Nrd1yr9KfUeewhhT4uSrW9rufcg4AHg\nUXffr+j4DKAnsL67z6pyz07Ai8Dz7j64cGwT4H3CAvEBJcapbIt7sbtXu3uNWt9KnV10EQwfHrYm\nvvzy2NHUaN4X8+hyZRfat2rP5+d83qT/B9cULr0Uzjsv7JVw7bWxo1kz7qEL0sMPw3vvxY7m29zD\nuoEvv4RRo+AnP4kdUfmZPx+6dw9fz54NnTrFjUdEkpO11reLgW61XNMHmJvQeEkp/E2SD6scfwr4\nKbAPMLLKuX0L709XHijs9zEd6Gdmfdx9am33iDRINYvE06hz2850aduFuV/MZeaimay/TmomOBOR\ntZ3ElyyBp56Chx4KRcaMGbEjqt1xx6nQiKVTJxgyBJ58MrTqPXqN/qQnIpJcsfEasL+ZrePun1c9\naWY9gf2AhxIar87M7LvAmKqb6ZnZ7sBphK5Zo6rcdjOh2DjPzP7p7gsK9/QBTgSWAbeVuOdS4Aoz\nO7xyvMLsyS7AO+7+bII/mpSzDBUbENZtvDD9BSbMnZC7YmO77cLjVG+9FTb6a5PCrUSmTAnFxYMP\nwujRYaagUs+eMGwY7LxzOnex7tw5LFSWeA45JBQb99+vYkNE1lxS/2n5I2EviYfN7DjCL/AAmNlA\n4BagDZDIQwZmdjDfbBLYo/C+s5mNLHz9qbv/pvD1VcCmZvYS8HHh2FaEfTIc+J27r9a40t1fNrOr\ngNOBcWZ2H9AKOJzQUepkd59eJayrgP2BQ4FXzexpoDdwGKEjVp12Lxepk802C7/hTp4MK1ZAy5ax\nI6pRv879eGH6C0ycN5HdN949djiJWnvtsHB5/PiwE/RaiT4o2nBLlqy+eN0MdtghFBjDhsF3vpPN\njfGk6Rx8cGg7/NhjsHhx9vc3EZGmlUix4e6PmdmFwHDgHWAFgJnNBSqf8DzH3V9MYjxgEHA03xQ1\nDmwEVO5xOhWoLDbuAH4AbEd4nKklMAu4G7i+upjc/UwzG0+YyTgOWAm8CVzp7g+XuH65me0JnAP8\nmNAGeCFwPzDc3bPxJ2jJhjZtoE+f8Fvk5MnfzHSk1NcdqerQ/jaL9t8/FBvvvx87ktLWWSd0FRo2\nDPbdF7rV9tCrSJGePWGnnUIL3EcfhUMPjR2RiGRJIgvEv/4ws92AU4CdCDt1LyTsv3G1u2u9Qi20\nQDy+ioqKajs9pM5++8Ejj4Qdtw4+uPbrI/rPxP9w4F0Hstcme/HYUY9Ve12m8l/EPXQhrmwSlibN\nmkHfvrVPfmU193mR9vyPGAG/+Q0ceST87W+xo0lW2nOfd8p/PE21QDzRYkMaRsVGfGaWnfyffjpc\nfTVcdhmcc07saGr0/rz36Xt9X3p36M20U6dVe12m8p8zyn1cac//5Mmw6aZhlmzOnPQ9LtgQac99\n3in/8TRVsZHUPhsiuVDZ7zsTMrRIfKN1N6Jls5ZMXzidL1Z8Ue11mcp/zij3caU9/5tsEtYkff45\nPJ2z5xTSnvu8U/7zTzMbKaKZDVkjzz0HgweH1b6vvFL79ZENvGEg7819jzG/HMPWPbaOHY6IrKHK\n7X1+8Qu45ZbY0YhIQ6V6ZsPMVpnZyjV8rTKzlUn/ACJlq3hmIwMFat4XiYvkXeVu4v/6F6zUf81F\npI7q243quXrel/7fiESyomtXWHdd+OyzsLVvjx613xNRv879AJg4d2LkSESkPjbfPKzb+OADePFF\n+P73Y0ckIllQr2LD3YckHIeIrCmzMLvx8sthdiPlxcbXMxvzNLMhkkVmYXbjiivCBn8qNkSkLrRA\nXCTLMrRIvF8XzWyIZF3lo1T335+JpzdFJAVUbIgUyVyv7ywVG5WPUc2byCpfVfKazOU/R5T7uLKS\n/+22g/XXh48+gv/+N3Y0ychK7vNK+c+/RLpRmdlwal+PsQr4HHgPeNbdlzd44JxRN6r4Mtfv+9//\nhoMOCttDP/po7Ghq1X1Ed+YsmcP0U6ezQYcNvnU+c/nPEeU+rizl/+ST4frr4dxz4dJLY0fTcFnK\nfR4p//E0VTeq+i4Qr2pNmyTPM7OT3f2uhMYXSUTm+n1naGYDwrqNOUvmMGHuhJLFRubynyPKfVxZ\nyv8PfhCKjQceyEexkaXc55Hyn39JzWwMAX4N7AvcAbwIzAa6A7sARwMPAX8DvgucArQGdnf3+na2\nyh3NbMgaW7EC2rUL70uWQNu2sSOq0f/+53+55c1buG7f6zhp+5NihyMi9fDVV9C9O8yfD+++CwMG\nxI5IROoj1ftslNAb2BPY3t3/191vd/dHC+/HAdsDewFt3f08YOfCfWcmNL5IeWrZMvSiBJg0KW4s\ndaC9NkSyr0WL8PQmhIXiIiI1SarYOA34h7uPK3XS3ccC9xSuw93HE2Y6dkxofJHylaFHqYoXiYtI\ndhV3pRIRqUlSxUY/4JNarvkE6F/0/fvAugmNL1K+MlRsaGZDJB/22APat4c334Rp02JHIyJpllSx\nsZhvHo2qzk6F6yq1AxYlNL5I+cpQsdGnYx9aNW/FjM9nsHj54tpvEJFUat0a9tsvfP3AA3FjEZF0\nS6rYeAgYbGaXmVm74hNm1t7MLgcGAw8XndocmJrQ+CKJyGS/7wwVG82bNWezTpsBMGnet9eYZDL/\nOaHcx5XF/OflUaos5j5PlP/8S6obVU/gZcJC8QXAOL7pRrUV0BGYDuzs7jPNbD3gDeBmd7+owQHk\nhLpRxZfJft8LF0LHjuFPjUuWQLN079V56D8O5b737uNvh/yNI7c8crVzmcx/Tij3cWUx/4sWQZcu\noRneJ5+EDlVZlMXc54nyH0+m9tlw90/MbHvgMuDHwPeLTi8DRgLnuPucwvUzgfWSGFskSZns992h\nA/TsGf5rP3069OkTO6Iafb1IfO63F4lnMv85odzHlcX8r7027LUXPPggnHJKdlvgDh48nDT+cb1Z\nMzjssOzmta6y+G9f1kwiMxurfaBZK8KC8Q4Udgx39xWJDpJTmtmQehs6FJ55Bh55BPbZJ3Y0Nbpz\n7J0c/c+j+dHmP+LuQ++OHY6INMDIkXDssbGjyK9dd4XntBuZNJJMzWwUc/flwPikP1dEatC/fyg2\nJkxIfbHRr0v1Mxsiki1HHRUep5o3L3Yk+bJiRdidfcwYcAdr1F8FRRpX4jMbUn+a2ZB6u/Za+PWv\nYb31YKONYkfzbfvtB7/9LQALly2k4+870qZFGxb/djHNLN1rTEREYujRA2bPhilTUv90rGRU5mY2\nzKwv8GtgO8L+Gc1LXefuGyc1pogUfO974X3mzPBKm5degpNOgnXWoUPrDvRo34NZi2fx0cKP2LDj\nhrGjExFJnS23DMXG+PEqNiTbEik2zGwn4CmgNbCS0InqqxKX6k/2Io1hm21g4kSYMyd2JN/2q1+F\n/1q+8UZYW0LY3G/W4llMmDtBxYaISAlbbAFPPglvvw0HHBA7GpH6S2pm4zKgFXA8cKu7lyo0RFKv\noqIiuz2/+/YNr7QZMiQUG6+88nWx0a9zP0ZPHc3EeRPZe9O9v7400/nPOOU+LuU/nrTmfsstw/v4\nnK+CTWv+JTlJ7bOxBHjQ3Q9veEjlS2s24lO/70bwf/8HP/lJ+NPcv/8NwDWvXMNpj53GCduewI3D\nbvz6UuU/HuU+LuU/nrTm/vXXYfvtwwxHnguOtOa/HDTVmo2kVmauAKYl9Fki0ajfdyPYccfw/sor\noa0K4TEqgAlzV9/1XPmPR7mPS/mPJ625HzgwdKGaMAGWL48dTeNJa/4lOUnNbDwEtHKbbXm4AAAg\nAElEQVT3PRseUvnSzIbkknvYWvjTT2HyZNh4Y6Z8NoWNr92Y9dZej49P/zh2hCIiqbTppuH/NseP\nDzMcIknK2szGecDOZnZ0Qp8nInlhtvrsBtC7Q29at2jNzEUz+fzLzyMGJyKSXuWybkPyLali4yDg\naWCkmT1nZleZ2QWlXgmNJyJZUqXYaN6sOZt12gyASfMmxYpKRCTVKmczVGxIliXVjar4gbtdCq/q\nXJTQmCKSFVWKDQjrNsbPGc+EuRPYdr1tIwUmIpJelTMbb78dNw6Rhkiq2Bia0OeISB5tu214nOqt\nt2DZMmjdmn6d+wEwce7EyMGJiKSTHqOSPEjkMSp3H13XVxLjiTQW9fpuJOusA5tvDitWwJgxQFFH\nqnnfdKRS/uNR7uNS/uNJc+433RRatYKpU2HRotjRNI4051+SkUg3KkmGulHFp37fjei44+Avf4Gr\nroLTTuONmW+w3S3bsWW3LRl3wjhA+Y9JuY9L+Y8n7bnfemsYOxZeegl22il2NMlLe/7zLGvdqERy\nQf2+G1GVdRuVj1FNmjeJlatWAsp/TMp9XMp/PGnPfd7XbaQ9/9Jw9ZrZMLNVgAMD3H1S0fc13ga4\nuzdf8zDLg2Y2JNfeeSe0VundG6aFPUDXv2p9Zi6ayeRTJrPxuhtHDlBEJH2uuALOPhtOPhmuvTZ2\nNJInTTWzUd8F4s8RioulRd/XhX6LFilXAwaEtRvTp8PMmbDeevTv0p+Zi2Yyce5EFRsiIiWo/a1k\nXb2KDXcfUtP3IiLf0qwZbL89PPkkvPoq/OAH9O/cn6enPM2EuRPYd7N9Y0coIpI6xR2p3ENjP5Es\n0ZoNEWk6VddtdCm0v52n9rciIqX06gUdOsC8eTB7duxoRNZcoxYbZtbFzA4xs73NTGs1RMpdlWLj\n6/a3cydUd4eISFkz06NUkm2JFBtmdoKZvWpmnYqObQNMAO4FHgFeNrN2SYwn0ljU77uR7bBDeH/j\nDfjqq2829ivMbCj/8Sj3cSn/8WQh93nuSJWF/EvDJLLPhpmNBtq4+w5Fx54Gvg+MBLoDw4Cz3H1E\ngwfMKXWjik/9vpvAppvC5MkwZgyrBm1F+0vbs/SrpSw4ewEd23RU/iPRv/24lP94spD7G2+EE0+E\nY4+FW2+NHU2yspD/vMraPhubAWMrvzGzrsBg4FZ3/4W7HwC8Afw4icHM7FAzu87Mnjezz81slZnd\nWcs9O5vZw2Y238y+MLOxZvZrM6s2B2Z2jJm9ZmaLzGyBmT1jZsNquL6NmV1oZhPNbKmZzTazu82s\nf0N+Xmk66vfdBIoepWpmzejbuS8QZjeU/3iU+7iU/3iykPs8P0aVhfxLwyQ1s7EMGOHu5xe+Pxi4\nHxjm7o8Ujv0B+Jm7d05gvLeArYBFwMdAf2CUux9dzfUHAfcBXwB3A/OBA4F+wL3u/qMS94wATgc+\nIjwKthZwBNAJONndb6hy/VrAU8DOwOvA00Bv4DBgOTDU3V+r5efSzIbk3/XXh4bxxxwDI0dyxL1H\ncPc7d3P7wbdz9KCS/xMWESlrn30GnTpBmzawaBE01ypYSUDWZjY+A7oUff99YBXwUtExB1onNN6p\nwGbu3gE4oaYLzWwd4BZgBTDE3Y9z97OBrYGXgUPN7PAq9+xMKDQ+ALZy9zPc/SRgG0KhMsLMNqwy\n1OmEQuMed9/B3c91958AhwJtgVvN1LBOpLqdxCfOVUcqEZFS1l0X1l8fli6FKVNiRyOyZpIqNt4F\nDih0n+pImAF43d0XFl2zITAricHcfbS7Ty58W9sv8IcSCqG73P3Nos/4Eji/8G3VguX4wvslxT+D\nu08DbiDMchxbebxQRBxPKKjOqhLrv4HngYGER8tEyttWW0Hr1jBxIsyf/01HqnnqSCUiUp08P0ol\n+ZZUsfFHoCfhkaMZQA/gxirX7EjRuo4mNLTw/miJc88RdkHfycxaVbnHq7nnkcL7bkXHNgE2ACYV\nCpLq7hla4pxIeWnVCrbZJnz92mtqfysiUgfFm/uJZEkixUbhr/fHE2Y4JgJnuPvXC7bNbDdgbeCx\nJMZbQ/0K75OqnnD3lcAUwk7qGwMU2vOuByx291Lb53xQeO9blzGq3LNZ3cMWybGiR6kqF4h/MP8D\nvlr1VcSgRETSK8/tbyXfEtvUz93/7O7bFF5XVzn3jLt3dPc/JTXeGuhAmKVYWM35hYRHsToUXV95\nvLrrATpWGWNN75EUUr/vJlJUbLRr1Y4N1tmA5SuXc/q5p8eNq4zp335cyn88Wcl9Xmc2spJ/qb9E\nulHFZGZDCJ2fSnajMrNJhMecNnP3D0ucfxHYCdjJ3V81s/UIj4LNcPfeJa5vCXwJfOnubQrHjgRG\n1RDDnoRZncfcfd8afhZ1o4pM/b6byIwZsMEG0LEjzJvHnn/bmyc/fBIq9O8/Fv3bj0v5jycruV+6\nFNq3DzuKL14clr7lQVbyn0dZ60aVZlVnLqqqPL6g6Pri47VdX997qmVm1b6GDBmCmVX7l4CKigqd\nb8D5wYMHpzq+3Jz/y19gvfVgwQJ4/336dw7rNqxP+HfeZo82dPp9p2+92uzRpsnPd76iMxc9e1G6\n8tcI54cPH57q+PJ+XvmPd75yn4e0xlfp97+vYNUqY+XKCt57L33x5T3/WT1febzUq6mUw8zGKOBI\n4Eh3v6vKuRaEQqEF0N7dVxSOzyAseF/f3WdVuWcn4EXgeXcfXDi2CfA+MNHdB5SI4VzgEuBid692\n9xrNbEhZ+eEP4f77YeRIHt65KwfddVBq12y0b9WeOWfOoU3LNrFDEZEydthhcO+9cMcd8NOfxo5G\nsq6pZjZaNOaHp8RThGJjH+CuKue+D7QBnq0sNIru+WnhnpFV7ql8DOrpygPuPtnMpgP9zKyPu0+t\n7R6RsrfjjqHYeOUV9jvmJhacvYAvV34ZO6pv2eOOPRgzawyPT36cg/ofFDscESljW2wRio28rduQ\nfCuHYuNe4PfAEWZ2nbv/F8DMWgP/r3DNTVXuuZlQbJxnZv909wWFe/oAJwLLgNtK3HMpcIWZHe6F\n6QkLu5fvArzj7s8m/LOJZFeVzf3atWpHO9pFDKi0wwYexphZY7j3vXtVbIhIVHldJC75lsnHqMzs\nYODgwrc9gL2AD4EXCsc+dfffFF1/EKHoWEaY3fgMOJDQvvYed19tB/HCPSMIu4LPAO4DWgGHA+sC\nJ7v7jVWub0WYudgZeKPwdW/gsMK4Q9399Vp+Lj1GJeXjiy9gnXXAHT7/HNqlr9AAmDRvEv2u70eH\ntTow+8zZrNVirdghiUiZev996NsXevWCjz6KHY1kXVM9RpXVYmM4MJzQ0na1U4X3qe6+cZV7dgbO\nI3Seak1YY3ErcK1XkwQzO4YwkzEQWAm8CVzp7g9Xc30b4Bzgx4RCYyEwGhju7rXuWKZiQ8rONtvA\nm2/C6NEweHDsaKq11U1bMX7OeB468iH222y/2OGISJlauRLWXjt0ppo/H9ZdN3ZEkmXqRlUDd7/Q\n3Zu5e/Mqr2aF18Yl7nnJ3Ye5eyd3b+vug9z9j9UVGoV7bnf37d29vbt3cPfdqis0Ctcvdffh7t7X\n3Vu7e3d3P7wuhYakQ3VdHqSRVHmUKq35P3TgoQDc9+59kSNpPGnNfblQ/uPJUu6bN4eBA8PXednc\nL0v5l/rJ5MxGXmlmIz71+25id94JRx8NBx8MDzyQ2vy/M+cdtrhpCzq16cSsM2bRsnnL2CElLq25\nLxfKfzxZy/2xx8LIkXDDDfCrX8WOpuGylv880cyGSASV/b6liRTPbLinNv8Duw6kf5f+zF86n2en\n5bPPQ1pzXy6U/3iylvvKReJ5mdnIWv5lzWlmI0U0syFlxx26dAkPH0+dChtuGDuiap3/9Plc8vwl\n/HKbX3Lz/jfHDkdEytTjj8Pee8Muu8Dzz8eORrJMMxsikn9msMMO4etXX40bSy0q1208MOEBVq5a\nGTkaESlXxe1v9bdJyQIVGyISV5VF4mk1qPsgNl53Y+YsmcML01+o/QYRkUbQowd07gwLF8LHH8eO\nRqR2KjZEJK6MFBtmxqEDCl2p3stvVyoRSTezsJM4aHM/yQYVGyIS1/bbh/c334Qvv4wbSy2+boH7\n3n2s8lWRoxGRcqWdxCVLVGyIFFG/7wg6doQBA+DLL6k46aTY0dRo2/W2pXeH3sxcNJNXZqR7JmZN\n6d9+XMp/PFnMfZ6KjSzmX9aMulGliLpRxad+35H8/Odw220Y4O3axY5mdWZw3HFw1VUAnP7Y6fz/\n9u47Tqr66uP45wCCUgRFiiiKCCJq7IqiUuxGBUtssRtLLIlGTdRHDSuPRmOJxhZjV3jywiiIYgWM\nWECjiQUFBRFQuigdpJ/nj98dHYeZ3QVm9jcz+32/XvO67C0zZ84ddu+ZX7l3vnsnl+9zOXccdkfk\n4PJHn/24lP94SjH3o0bBfvvBrrvChx/Gjmb9lGL+y4VmoxKJQPN9R3LCCbDBBvQBWLy4uB6LFsGd\nd8KLLwJwfOfjgdCVqpz+QOqzH5fyH08p5j41ZuOzz2DlyrixrK9SzL+sHbVsFBG1bEittmwZrFgR\nO4o1/e1v8Ic/QJs28OmnrG7WlC3/siUzFs3g/fPeZ882e8aOUErdsmWwfHnsKLJr2BDq1o0dhWTR\nrh189RWMHRt6ooqsrZpq2ahXyCcXEam2Bg3Co9hcfjkMHhz6Lfzud9R5/HGO73w8975/L8+MfUbF\nRjFYsgQmTIgdRXbLlsGsWTBzZlhm+/f8+bGjzK1jRxg2rKhvuFlb7bRTKDY+/VTFhhQ3tWwUEbVs\niBSpceNC5+ilS+GFFxixYyN6PtGTDpt2YPwl43/4dkgiGDsWDjooXLSXqnr1YMMNY0exphUrQrG0\n884wciQ0bhw7IklzzTVwyy1w/fXQt2/saKQUqWVDRKRYdOoEN94IV14J55/PAaM/pkXDFkyYM4HR\ns0azS+tdYkdYO40bBwceGFoI2rYNM5sVmw02gFatfny0br3mvzfZBOoU4RDKuXPDfXBGj4bTToNB\ng4ozzlqqnGakkvKmlo0iopYNkSK2ahV06xa6U515Jhcc34AHP3iQ67tdT9+e+lqxxk2YAN27w/Tp\noeB44QXYaKPYUZWf8eOhSxeYNw+uvhpuvjl2RJL45JPQ6LTttsXbi1CKm2ajEolA833HVdT5r1sX\nHn00dHd54gl+PastAM+MfSZyYPlR1LnPNHlyKDCmTw8F4PPPl3yhUbT53247ePrp8Pm/5Rbo1y92\nRHlXtLmvQqdOoQfexIlh4rxSVar5l+pTy0YRUctGfJrvO66SyP8dd8CVV+Jt2rDteUuYZPMYc9EY\ndmixQ+zI1ktJ5B5gypRQYEyeDF27wiuvQJMmsaNab0Wf//vvh4svhvr1YcQI2Hff2BHlTdHnvhI7\n7QRjxoR7bjRsGDuadTNsmHHIIcWX/8aN4a67YKutYkdSOBqzIRKB5vuOqyTyf9llMGgQNmoUT77Z\ngQO6z2Pg2IHs0L20i42SyP20adCzZyg09t4bXnqJCStmMeSdh5myYErs6LJq2aglF+91MU0aVF4Q\nFX3+L7ooXNXefz8ccwy8/37ZXIUVfe4rccAB4bSMHBk7kvXRh2HDYseQXd26oWFP1o9aNoqIWjZE\nSkTa7FRH/hKmHrAzH//649hRlbeZM6FHDxg3jkU7deKOvofz1PShfPbtZ7Ejq1L7TdrT/9j+7Nu2\nxFsDVqyAI46A116DXXaBt9/WDFWRLV0K77xTnLcoKmXffw8nnxzy+/77sGeZznBeUy0bKjaKiIoN\nkRKSdKeavrGx44XOe78fT8fmHWNHVZYWT5vMqh7d2XjC14zZvB7dTl/JnKTLSLMNm/Hzjj9n99a7\nF90UxO5O/0/689HMj6hrdbmu23Vc1+066tUp4U4Fc+eGAeNffBFaOAYO1AxVUpauugpuvRUOOQSG\nDo0dTWGo2KiFVGyIlJC02ake3wVm3nszV+9/deyo1srMRTN5f9r7vDftPb6a/1XscLJaNms6197w\nL3ae6YxpAT3OgsZbtKN3p9706tSLA7Y6gA3qbhA7zJyWrVzGH1//I7eNug3H6bJFF/of158Om3aI\nHdq6GzcuTIk7bx78z//ATTfFjkgk7+bMgfbtwz03X3stzElRblRs1EIqNkRKzLhxrNplZ+ouW85l\nl3Tgrnu+iB1RTguXLeS/M/7Le9Pe4z9fv8uEL/7N8pnTabEENlsCTZbFjjC7i9+HPWbA5NYb8tzf\nLuOgrqeyY4sdi64VoyqvT3qdMwafwdQFU2m0QSPuPuJuzt717JJ7Hz8YNix0qVq1Cvr3h1NPjR2R\nSN796U9w7bVhiNi770Kp/nfNRcVGLaRiQ6T0rLj1Fja46hpmNoLPunbAimxGcV+9kpXfzmbDuQtp\nsRhaLIFNvi+tec9XbtOOem+9DVtsETuU9TL3+7lc+OKFPDXmKQCO63wcDx71IM0bNo8c2Tq69174\nzW+gQQO44IIwmlbyp04dOOUU2GOP2JHUWosXh/uYzJoV7ml57LGxI8ovFRu1kIqN+CoqKjTnd0Ql\nmf9Vqxi/4+ZsN2527Eiqzc1YtUlT6rZsjbVoAS1aUPHll1Tsvnvs0NbUrBlcfjlsuWXsSPLC3ek/\nuj8Xv3QxC5cvpE2TNjze+3FG9htZep999zBL1QMPxI5kvVQkj6LUvn0YH1PG42KK/ff+fffBJZdA\n587hRorlVFOr2KiFVGzEV8rzrZeDUs3/vCkT+OzRP7N6xfLYoazB6tShxRbbsXXHPanfqg20aAHN\nm6/xF7NUc1+qJs2dxOnPns7IKcmcpRWw54PFN+XNDi124JFej+Qe1L5yZRgkPm1azQaWR3bFFfgd\nd8QOY0133glTp8LLL8Phh8eOpmCK/XfP8uWw/fYwaRI89hicdVbsiPJH99kQiaCU51svB6Wa/2Zt\nO7Bvn4dih7FeSjX3pWqbTbZhxFkjuOXtW6gYUcGq7qv4z/T/xA5rDf+Z/h+6b92dc3Y7J/sO9erB\nSSfVbFB51mfBgtB6VmyWL4drrglfrZdxsVHsv3vq14e+feH006FPn9CzrUGD2FGVFrVsFBG1bIiI\n1D7TF05n2oLiaxl46+u3uGLoFWzVdCvGXzKeBvV0hVWjZs8O3QdXrICJE6Fdu9gR1VqrVoVbK336\nabir+KWXxo4oP9SNqhZSsSEiIsVi1epV7PLALoyZPYZ7j7iXi/e+OHZItc/pp4fZvq66Cm65JXY0\ntdqQIdCrF2y2Waj9mjSJHdH6q6lio3xHHImIiMg6q1unLn179gXgxrduZMmKJZEjqoUuuigsH3kk\n3M5aojnqKOjaFb79NgynkepTsSEiIiJZHbv9seyx+R7MXDST+967L3Y4tc8++8Buu4Ur3Kefjh1N\nrWYGN98c/n377eGUSPWo2BAREZGszIwbD7wRgFtG3sKCZQsiR1TLmP3YunH//XFjEbp1C/eyXLjw\nx8JDqqZiQyRNMc/1XRso//Eo93EVc/4P2/Yw9t9qf+Z8P4e73r0rdjh5V8y5B+CXv4SmTcMtrD/4\nIHY0eVf0+c9w001hed99MGVK3FhKhQaIFxENEI+v2Of7LnfKfzzKfVzFnv83Jr9Bjyd6sHGDjZl0\n6SQ23WjT2CHlTbHnHoDf/S5Mg/SrX8HDD8eOJq9KIv8ZTjkFBgwo/dOhAeIiERT7fN/lTvmPR7mP\nq9jz371ddw5pfwgLli3g1pG3xg4nr4o99wBceGFY/uMfMHdu3FjyrCTyn6Fv33Bf1Mceg88/jx1N\n8VPLRhFRy4aIiBSr96a9R5eHu7BRvY2YeOlEWjduHTuk2uXQQ2HYMPjLX0JLh0T161/D3/8OO+4Y\nHsWoTx/YYYfc23WfjVpIxYaIiBSz3gN68/y45/nt3r/lr0f8NXY4tctzz8Exx0CHDjBuHNRR55SY\npk+Hjh1hSRHPCD1iBHTvnnu7io1aSMWGiIgUs9GzRrPrA7uyQd0N+OI3X7BV061ih1R7rFwJ7duH\nUcmvvhpaOiSqsWPhk09iR5Fbz57QsmXu7So2aiEVGyIiUuxOGXgKAz4dwLm7nctDvR6KHU7t8qc/\nwbXXhltZP/dc7GikxKnYqIVUbIiISLEb/914Ot/XGcP4/JLP6bBph9gh1R6zZkHbtrBqFUycCFtv\nHTsiKWGajUokglKb77vcKP/xKPdxlVL+t2u+HWfuciarfBUVIypih7PeSin3tGoFJ5wAq1eH0cll\noKTyL+uk1rRsmNlkIFfn0lnuvnmWY7oC1wH7ABsCXwCPAve4++ocr3MmcDHQGVgFfAjc7u4vViNG\ntWxEVorzfZcT5T8e5T6uUsv/5HmT2e6e7Vi5eiWjLxzNTi13ih3SOiu13DNyJOy/P7RoEcZvNGgQ\nO6L1UnL5LyNq2SiMeUBFlsdtmTuaWW/gTWB/YCBwD1AfuBMYkO3Jzex24DGgFfAg0B/4GTDEzC7O\n39uQQinF+b7LifIfj3IfV6nlv12zdpy/x/k4Tp8RpRV7plLLPV27wi67wOzZ8MwzsaNZbyWXf1lr\nta1lY7W7t6/GvhsDE4AmwH7u/kGyvgHwL2Bf4BR3fyrtmK7A28lxe7n7/GT91sB/gUbA9u7+VSWv\nq5YNEREpCTMWzqD93e1ZunIp9x5xL80bNo8dUlmpY3Xo0a4HLRtlmU7owQfhggtC4TFyZM0HJ2VB\nA8TzbC2LjXOAh4En3P3sjG09gdeAN929R9r6J4HTgLPd/YmMY24Argf6untFJa+rYkNERErG74f+\nntvfuT12GGXroG0OYvgZw9fcsHgxtGkDCxbAhx/CrrvWfHBS8lRs5FlSbNQH/kAYu7EY+JhQNKzO\n2Lc/8EsyWi+SbXWBBUA9oIm7L0/WTwU2B9q4+6yMY/YBRgFvuXvO26uo2BARkVKyYNkCrh5+NXO+\nnxM7lLIz6LNBrPJVfHPlN9lbjS69FO6+G847L7R0iKwlFRt5ZmaTgGxzxE0itEa8mbbv+8AewB7u\n/mGW5/qUMAB8R3f/3MwaAQuBhe7eNMv+mwHfkGMgetp+KjZERESEQ/odwvCJw+l3bD9O2/m0NXcY\nNw623x4aNoRzz635AMtdkyZw4YWwxRaxIymYmio26hXyyYvMY4QB32MIhcG2wCXA+cDLZravu49O\n9m0KODA/x3PNByzZj7RlZfsDNFvn6EVERKTWOHq7oxk+cThDxg/JXmx06gSHHALDhoUWDsm/+++H\nBx6AE0+MHUlJqzUtG7mY2W3AFcBgdz8uWTeeUIx0dPeJWY4ZSRgkvq+7/9vM2gBTganuvsb0uma2\nAbAMWObuG1USi1o2IquoqNCc3xEp//Eo93Ep//EUa+4nzZ1E+7vbs3GDjZn9+9nUr1t/zZ1mzIBB\ng2DlypoPME8qXn6ZiiOOiB3Gml59FV5+Ofz71FPh3nuhWXl9Z6xuVDXEzLYl3D/jO3dvkayrTjeq\nHYDO7j5O3ajKh+b7jkv5j0e5j0v5j6eYc7/T/TsxZvYYhp0+jIPbHxw7nIIo2vy7h7Ewl18OS5bA\nllvCE0/AgQfGjixvdJ+NmvNtsmyUtm5csuyUubOZ1QO2AVYAEwHcfTEwHWhsZq2zvEbHZDm+OgGZ\nWc5Hjx49MLOc38JUVFRo+3ps7969e1HHV+7blf942/v06VPU8ZX7duU/3vbUfR6KMb6jtzsagCHj\nhhRlfPnYXrT5NwvTC3/0EXTpQsXUqdhBB1Gx776wdGn8+Kq5PbU+26OmqGXD7DDgZWCsu++UrDsb\neAR40t3Pytj/QGA48Ia790xb/wRwOnCOuz+ecUxfwp3Ib3D3GyqJRS0bIiIiAsCoKaPY79H92KbZ\nNnz52y9r9AJR0qxcCTffDDfcAKtWwQ47QP/+sNtusSNbL2rZyCMz2z7p6pS5vh1wb/Jj/7RNzxBa\nPE42sz3S9t8QuDH58W8ZT/dAsrzWzJqlHdMOuBhYShikLiIiIlKlLlt0oUXDFkyaN4mxs8fGDqf2\nqlcPrr8e3nknDMwfOxa6dIFbbgnFh1SqVrRsmFkFYRD4G8DX/Dgb1ZFAA+BF4Fh3X5l2TG9C0bEU\nGADMBXoB2wFPu/tJWV7nduBywmDxgYT7epwEbAL8xt3vryJOtWyIiIjID85+7mwe/+hxbj7oZq7e\n/+rY4ciSJXDVVWHAOEDTplA/y+D9YjB4cLjLfA411bJRW4qNbsCvgd2A1oTxGXOBj4B+7t4/x3Fd\ngWsJM09tSBhI/ihwt+dInJmdSWjJ2AFYBXwA3ObuL1UjThUbIiIi8oNBnw3i+H8eT9e2XRl5zsjY\n4UjKq6/Cr34F06bFjiS3ESOge857SavYqI1UbIiIiEi6RcsX0fzW5qxYtYJZV86iRaMWsUOSlJUr\nYc6c2FHk1qxZpa0uGrMhEkGuWR6kZij/8Sj3cSn/8RR77hvXb0zPdj1xnJe+qLKTRMkp9vxXql49\naNmyeB9F0r1LLRtFRC0b8RXtfN+1hPIfj3Ifl/IfTynk/r737uOSly/h+M7H88yJz8QOJ69KIf/l\nSi0bIhGk5vuWOJT/eJT7uJT/eEoh90dtdxQAr375KstWLoscTX6VQv5l/ahlo4ioZUNERESy2eWB\nXRg9azSvnvYqh257aOxwpAyoZUNEREREgJ/eTVyklKjYEBERESlyPxQb44eoB4SUFBUbIiIiIkVu\nry32olWjVnw1/ys+/ebT2OGIVJuKDREREZEiV8fqcGTHIwF4ftzzkaMRqT4VGyJpSnq+7zKg/Mej\n3Mel/MdTSrnv1akXELpSlYtSyr+sG81GVUQ0G1V8mu87LuU/HuU+LuU/nlLK/eLli2l+a3OWr1rO\njCtm0Kpxq9ghrbdSyn+50WxUIhFovu+4lP94lPu4lP94Sin3jeo34qD2B+E4L37xYuxw8qKU8i/r\nRi0bRUQtGyIiIlKZB/7zABe+eCHHbH8Mz570bOxwpISpZUNEREREfiJ1N/GhXwXmGFgAABvESURB\nVA5l6cqlkaMRqZqKDREREZESseXGW7Jb691YsmIJr096PXY4IlVSsSEiIiJSQtJv8CdS7FRsiIiI\niJSQozuFYuOF8S9onKcUPRUbImk033dcyn88yn1cyn88pZj73Tffnc0bb86UBVP4eNbHscNZL6WY\nf1k7mo2qiGg2qvg033dcyn88yn1cyn88pZr784ecz0MfPETfHn25vvv1scNZZ6Wa/3Kg2ahEItB8\n33Ep//Eo93Ep//GUau7LZdxGqeZfqk8tG0VELRsiIiJSHUtWLKH5rc1ZunIpF+15EXXr1I0dUlnZ\nrOFmXLL3JWy60aaxQymYmmrZULFRRFRsiIiISHUd99RxPPu5buxXKPtvtT/DTx9Og3oNYodSECo2\naiEVGyIiIlJdMxfNZNBng1i5emXsUMqKu3PbqNuYtnAaZ+16Fo/2evSHC/NyomKjFlKxISIiIhLf\nBzM+4IDHDmDJiiX8+eA/84f9/hA7pLzTAHERERERkQh233x3+h3bD4Crh1/N4M8HR46odKnYEEmj\n+b7jUv7jUe7jUv7jUe7jKub8H9f5OG468CYc57RBp/HRzI9ih1SS1I2qiKgbVXya7zsu5T8e5T4u\n5T8e5T6uYs+/u3Pm4DPpN7ofbTduy3vnvUfrxq1jh5UX6kYlEoHm+45L+Y9HuY9L+Y9HuY+r2PNv\nZjx09EN0bduVKQum0HtAb75f8X3ssEqKWjaKiFo2RERERIrPN4u/Ye+H9uar+V9x8k4n84/j/lHy\nM1SpZUNEREREpAi0bNSSIacMoXH9xgz4dAD/++b/xg6pZKjYEBERERGpws9a/YwBxw+gjtWhz4g+\n/HPMP2OHVBLUjaqIqBuViIiISHG78507uXzo5WxYb0MGnjiQrZtuHTukrNo1a0ej+o1ybtdN/Woh\nFRsiIiIixc3dOX/I+Tz84cOxQ6nUiDNH0L1d95zba6rYqFfIJxcpNRUVFUU953e5U/7jUe7jUv7j\nUe7jKsX8mxn3HXkf9erU482v34wdTk4NN2gYOwRALRtFRS0b8RX7fN/lTvmPR7mPS/mPR7mPS/mP\nR7NRiURQ7PN9lzvlPx7lPi7lPx7lPi7lv/ypZaOIqGVDRERERGqCWjZERERERKSkqdgQEREREZGC\nULEhIiIiIiIFoWJDREREREQKQsWGSJpSm+u73Cj/8Sj3cSn/8Sj3cSn/5U+zUeWZmW0J9AUOBzYF\nZgCDgRvcfV4Vx2o2qsg033dcyn88yn1cyn88yn1cyn88uoN4CTKzbYFRQAtCgfE50AW4FDjczPZz\n9zkRQ5QqdO/ePXYItZryH49yH5fyH49yH5fyX/7UspFHZvYqcAjwG3e/L239HcDvgL+7+4WVHK+W\njcj0DUtcyn88yn1cyn88yn1cyn88NdWyoWIjT5JWjS+ASe6+bca2xsBMwIFW7r4kx3Oo2IhMv/Ti\nUv7jUe7jUv7jUe7jUv7j0U39Sk/PZDk0c4O7LwJGAo2AfWoyKBERERGRWFRs5E+nZDk+x/YvkmXH\nGohFRERERCQ6FRv50zRZzs+xPbW+WQ3EIiIiIiISnYoNEREREREpCE19mz+ploumOban1ld6rw34\nccCOxKH8x6X8x6Pcx6X8x6Pcx6X8lze1bOTP58myU47tqbEaucZ0iIiIiIiUFU19mydm1h6YAEwC\nOnhaYs2sCeFO4g60dPfv40QpIiIiIlJz1LKRJ+4+kTDt7TbAxRmbbwAaAv1UaIiIiIhIbaGWjTxK\nWjdGAS2B5whdq7oAPYBxQFd3nxstQBERERGRGqRiI8/MbEugL3A40ByYDjwL3ODuuabFFREREREp\nOyo2RERERESkIDRmQ0RERERECkLFhoiIiIiIFISKDRERERERKQgVGzXAzH5hZveY2VtmtsDMVptZ\nvyqO6WpmL5nZHDNbYmYfm9mlZqZzthbMbFMzO9fMnjWzCUku5yXn4hzLcdtS5T9/zOzPZvaamU1J\ncjknyeeNZtYqxzHKfwGZ2WnJ76HVZvarHPvoHKwnM5uclufMx4wcxyjveWZmByV/A2aa2VIzm2Zm\nr5jZEVn2Vf7zwMzOquSzn3qszHKc8p8HFpxkZq8nn/clZvalmf3TzPbJcUzBcq8B4jXAzD4CdgYW\nAtOA7YH+7n5Gjv17AwOBJcBTwBygF+Hu5M+4+4k1EXc5MLNfA/cTZgV7HfgaaA0cBzQFBrr7CRnH\nKP95ZGbLgP8CY4FvgEbAvsCewLfAfu7+Rdr+yn8BmVlb4BPCl02NgXPd/dGMfXQO8sDMJgMbA3dl\n2bzI3f+Ssb/ynmdmditwJTAFeJnwO6clsDsw3N2vTttX+c8TM9sF6J1jczfgQOAFd++Vdozynydm\n9jBwDuHzPjhZdiTksx5whrv/X9r+hc29u+tR4AfhPhvbJv/uDqwGnsyx78aEC7Lvgd3T1jcARibH\nnhT7PZXKA+gJHJllfSvgqySfxyn/BT0H9XOsvzHJ5yPKf42dCwOGA18Atyb5PCdjH52D/OV7MjCx\nmvsq7/nP/3lJ3h4F6mXZXi/t38p/zZ2Xd5J8HqX8FyS/Wyf5mg5slrGtR7Lty5rMvZqlaoC7j3D3\nL5Mfs3bbSfMLYDNggLt/kPYcy4Drkh8vzH+U5cndX3f3F7OsnwU8kPzYPW2T8p9n7r48x6ank2Wb\ntHXKf2H9llCAn034BisbnYM4lPc8MrMGwE2EL5XOd/c1uuxkrFP+a4CZ/Yxws+OpQPrfZuU/f1ok\ny3+7+7fpG9x9BLCIkOuUgue+3vocLAVxYLJ8Jcu2NwmV575mtoG7r6i5sMrSyowlKP816ehkOSJt\nnfJfIGbWGbgFuMvd3zazg3PsqnOQXxua2WnAVsBi4GPgTXdfnbGf8p5fhxAuoPoBbmZHAjsBSwkX\nYe9m7K/814zzk+Ujnnx9nlD+8+dTYCbQxcyau/t3qQ1m1o3QffbZtP0LnnsVG8WnU7Icn7nB3VeZ\n2SSgM9AeGFeTgZUTM6sHpMbMpP8HU/4LxMyuJPySa0oYr9EFeBhI77eu/BdA8nnvR+jW8z9V7K5z\nkD9OGCP2ZMb6SWZ2tru/mbZOec+vvZLlMuAjYMf0jWb2JvCLtG9+lf8CM7ONgNMIX/A9nLFZ+c8T\nd19qZscA/YGxZvYc8B2wLeFLvqHABWmHFDz3KjaKT1PCH6j5ObbPJ3TFalZjEZWnWwh/fF5092Fp\n65X/wrmCMFYmZSSh2Tb9mxLlvzD+COxKGIy/rIp9dQ7y5zHCN4NjCBOEbAtcQvh292Uz29fdRyf7\nKu/51TJZ/p6Q//0JRUd74HbgUEJXzp7Jfsp/4Z1IyPML7j4tY5vyn1+jgceBq4Bz09ZPAJ7I6F5V\n8NxrzIbUOmb2W+By4DPg9Mjh1Bruvrm71yEUHMcR+pUOTbqYSIGYWRfgGuA2d/937HhqE3fvm4zZ\nm+3uS919jLtfSGjN2wioiBthWUtd36wAern7KHdf4u6fAscSxgx0T/5/SM1IdaH6e9QoylzSkv0a\nYRKWhwgFdkNgD2Ai8H9m9ueajEnFRvFJVZBNc2xPrZ9XM+GUFzO7hDAN5Rigp7tn5lH5L7Dkwmsw\n4ZvFlcAdaZuV/zxK/ug8SWj67pNrt4yfdQ4KLzU5xQFp65T3/Erl6UN3/zp9g7t/D7ya/Lh3slT+\nC8jMdiRMeT4FeCnLL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APpq7pZ3dp4Ezg3KWJGEbpDpT6fF/hP741yO+Fz2Bv42MxeJny+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\n", "text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's interesting to comment on this curve:\n", "\n", "- the number of singles is strongly declining between ages 20 and 30\n", "- there is a rebound around the mid-40's: is this the mid-life crisis?\n", "- after the rebound, the number of singles diminishes again\n", "- trends for men and women are quite similar except for the fact that the mid-40's rebound reaches a higher peak for women" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that our preliminary work is done, we can easily compute dating pools using the previously defined functions." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Plotting the dating pool using the standard creepiness function defined in the XKCD comic" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define a function that returns the size of the dating pool for a given age:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def dating_pool(age, dataset):\n", " age_bounds = dating_bounds(age)\n", " return singles_between_bounds(age_bounds, dataset)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's get a sample result:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "dating_pool(26, data_females)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 18, "text": [ "21693.800000000003" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a 26 year old woman, the dating pool consists of 21 million men." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To replicate the comic's data, we will now plot the dating pool as a function of age for males and females." ] }, { "cell_type": "code", "collapsed": false, "input": [ "ages = arange(18, 80)\n", "pool = [dating_pool(age, data_females) for age in ages]\n", "plot(ages, pool, label='males')\n", "pool = [dating_pool(age, data_males) for age in ages]\n", "plot(ages, pool, label='females')\n", "title(\"Dating pool\")\n", "xlabel(\"age (years)\")\n", "ylabel(\"thousands of people\")\n", "legend(loc=2)\n", "grid(True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "height": 280, "width": 404 } }, "output_type": "display_data", "png": 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AXaAzcAvQ38yOdfe5SXU+BV5Jca4vUl3AzEYAAwlJ0ONATeBC4DUzu87d/5x0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\ntXGEn2CuAX6Tdlj55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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, to comment on the comic's conclusion: indeed, the dating pool grows for men and women until ages 50 and 40, respectively. However, this assumes that people all share the standard creepiness function. \n", "\n", "What if instead we assumed a more \"normal\" rule for dating bounds, say +- 5 years. We can easily plot this curve to see what it looks like." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def dating_pool2(age, dataset):\n", " age_bounds = (age - 5, age + 5)\n", " return singles_between_bounds(age_bounds, dataset)\n", "\n", "ages = arange(18, 80)\n", "pool = [dating_pool2(age, data_females) for age in ages]\n", "plot(ages, pool, label='males')\n", "pool = [dating_pool2(age, data_males) for age in ages]\n", "plot(ages, pool, label='females')\n", "title(\"Dating pool\")\n", "xlabel(\"age (years)\")\n", "ylabel(\"thousands of people\")\n", "legend(loc='upper right')\n", "grid(True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "height": 280, "width": 403 } }, "output_type": "display_data", "png": 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Pl+IfLsU/PIp9eJScyG4pOQmf/icZLsU/PIp9uBT/cCn+4VHsw5Oo5KTMzTkREREREZHy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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "So here we have it: if you're not dating at the edge of the bell curve in terms of age (unlike the guy in the webcomic's last panel), your dating pool does go down with age, even though there is a slight rebound between the ages of 40 and 50.\n", "\n", "I hope you have enjoyed this little analysis as much as I have writing it. Feel free to comment if you spot some inaccuracies or have some remarks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "This post was entirely written using the IPython notebook. Its content is BSD-licensed. You can see a static view or download this notebook with the help of nbviewer at [20150131_XKCDDatingPools.ipynb](http://nbviewer.ipython.org/urls/raw.github.com/flothesof/posts/master/20150131_XKCDDatingPools.ipynb)." ] } ], "metadata": {} } ] }