diff --git a/ipynb/Bike Speed versus Grade.ipynb b/ipynb/Bike Speed versus Grade.ipynb index 2d1220a..8ee39de 100644 --- a/ipynb/Bike Speed versus Grade.ipynb +++ b/ipynb/Bike Speed versus Grade.ipynb @@ -4,12 +4,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "
Peter Norvig, 23 Oct, 2017
\n", + "
Peter Norvig, 23 Oct 2017
Revised 2 June 2019
\n", "\n", "# Bicycling: Speed versus Grade, Eddington Number, and H-index\n", "\n", "Like most people, I bike slower when I'm going up a steep hill than on a flat road. But how much slower?\n", - "To answer that, I downloaded all my recorded [Strava](https://www.strava.com/athletes/575579) rides longer than 25 miles as [`bikerides25.tsv`](bikerides25.tsv). Here I parse the file into a set of `Ride` structures:" + "To answer that, I downloaded all my recorded [Strava](https://www.strava.com/athletes/575579) rides longer than 25 miles as [`bikerides25.tsv`](bikerides25.tsv). I parse the file into `rides`, a list of `Ride` structures. I filter out all the rides that have exactly 0 ft climbing (i.e. stationary bike rides) and that have `'MTB'` in the title (i.e. mountain bike rides that are not relevant to road bike riding)." ] }, { @@ -27,52 +27,34 @@ "Ride = namedtuple('Ride', 'miles, feet, hours, date, title')\n", "\n", "def parse_ride(line: str) -> Ride:\n", - " \"\"\"Parse a line from a Strava log file into a `Ride`. Line format is:\n", + " \"\"\"Parse a line from a Strava log file into a `Ride`. Line format is tab separated:\n", " Ride\tThu, 8/9/2018\tBRNW\t4:58:07\t68.41 mi\t3,862 ft\"\"\"\n", " _, date, title, time, mi, ft = line.strip().split('\\t')\n", - " return Ride(number(mi), number(ft), hours(time), date, title)\n", + " return Ride(number(mi), number(ft), hours(*time.split(':')[::-1]), date, title)\n", "\n", - "def number(string) -> float: return float(re.sub(r'[^0-9.]','', string))\n", + "def number(string) -> float: return float(re.sub(r'[^0-9. ]', '', string))\n", "\n", - "def hours(time: str) -> float: \n", - " \"\"\"Convert '1:30:00' to 1.5\"\"\"\n", - " hour, min, sec = map(int, time.split(':'))\n", - " return hour + min / 60 + sec / 3600\n", + "def hours(sec, min, hour=0) -> float: return int(sec)/3600 + int(min)/60 + int(hour)\n", "\n", - "rides = map(parse_ride, open('bikerides25.tsv'))" + "rides = [parse_ride(line) for line in open('bikerides25.tsv') \n", + " if 'MTB' not in line and '\t0 ft' not in line]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "A few of the rides were on stationary bikes and thus have 0 feet climbed; let's filter them out. A few others were mountain bike rides where I spent a lot of time off the bike pushing it uphill; I'll filter out rides < 8 mph:" + "I'll want to plot the data to visualize it, so I'll collect four interesting vectors of numbers: length of ride in miles, speed in miles per hour, grade in feet climbed per mile, and grade in percent:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, - "outputs": [], - "source": [ - "rides = [r for r in rides if r.feet > 0 and r.miles / r.hours > 8]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Collect three vectors of numbers: miles per hour, feet climbed per mile, and miles per ride. Plot feet per mile versis miles per hour:" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -84,9 +66,15 @@ } ], "source": [ - "mph = [r.miles / r.hours for r in rides]\n", - "fpm = [r.feet / r.miles for r in rides]\n", - "mls = [r.miles for r in rides]\n", + "def vectors3(rides) -> tuple:\n", + " \"Return vectors of (miles, miles/hour, feet climbed per hour)\"\n", + " return ([r.miles for r in rides],\n", + " [r.miles / r.hours for r in rides],\n", + " [r.feet / r.miles for r in rides])\n", + "\n", + "def percent(r: Ride) -> float: return r.feet / r.miles * (100/5280) \n", + "\n", + "mls, mph, fpm = vectors3(rides)\n", "\n", "plt.scatter(fpm, mph);" ] @@ -95,7 +83,32 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "As expected, there is a lot of variance, but overall speeds get slower as the grade gets steeper. Just eyeballing the scatter plot, it looks like a curve would be a better fit than a straight line, so I'll fit a quadratic (degree two) polynomial to the data, and make the plot prettier:" + "# Making it Prettier\n", + "\n", + "As expected, there is a lot of variance, but overall speeds get slower as the grade gets steeper. Just eyeballing the scatter plot, it looks like a curve would be a better fit than a straight line, so I'll fit a quadratic (degree two) polynomial to the data (for no good theoretical reason; just because that's the simplest nonlinear function I could think of). I'll also make the plot prettier and bigger:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "def show(X, Y, xlabel='Grade (feet/mile)', ylabel='Speed (mph)', degree=2): \n", + " \"Plot X versus Y and a best fit curve to it, with some bells and whistles.\"\n", + " plt.rcParams[\"figure.figsize\"] = (12, 10)\n", + " plt.style.use('fivethirtyeight')\n", + " plt.ylabel(ylabel); plt.xlabel(xlabel)\n", + " plt.minorticks_on(); plt.grid(True, which='major'); plt.grid(True, which='minor', alpha=0.4)\n", + " plt.scatter(X, Y) \n", + " X1 = sorted(set(X))\n", + " F = poly_fit(X, Y, degree)\n", + " plt.plot(X1, [F(x) for x in X1], 'k:')\n", + " \n", + "def poly_fit(X, Y, degree) -> callable:\n", + " \"\"\"The polynomial function that best fits the X,Y vectors.\"\"\"\n", + " coeffs = np.polyfit(X, Y, degree)[::-1]\n", + " return lambda x: sum(c * x ** i for i, c in enumerate(coeffs))" ] }, { @@ -105,7 +118,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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n82U8hhHjRLCOUnPWOyD6evvFPlWuqR3ACzcW4cmWi3CHi1FVasaaegvsoV5kosqMWEdaxjLS75GWsVhH+o9ltDoCjHftWEf5F8dms8m+b8gkJdFJJ8PpdKp6PDmMkxrWUepqyv2AKz5RGTeyWLUyTLMBT3i7UFd3mSrHS8RodaRVLCP+HmkZi3Wk/1hGqyPAWNdOqziso9yIA3B1L6K8tqbewhXOiIiISHcM2ZNCRMpMKC/gpHEiIiLSHSYpRHmOk8aJiIhIb5ikECUpk/uKEBERERGTFKKkODwB3LEjc/uKEBEREREnzhMlpanFI7mvCBERERGpg0kKURLO9gZFX++QeJ2IiIiIksckhSgJNWUFoq9XS7xORERERMnjnBSiJKxtsOJAZ79gyFcm9hXh5HwiIiLKZ0xSiJJQa7VkfF+RNm8Q336fk/OJiIgofzFJIUpSpvcV2Xg0IDk5n/uZEBERUT5gkkKkM+d8IdHXszE5n8POKFeI3av2bBeKiIhSZsgkxe126/p4Ynw+X8ZjGDFOhJHq6BJLWPT1CktI9fOUO6c2bxB37/LD4R0uz/5zfrw4qwTAYI/POV8IY0rNWFNvwYTyAsF3o9//TpUJVQaqIy3vby1j5ervkdS9+svrgMmqR4vHOtJ/LKPVEWC8a8c6yr84NptN9n1DJimJTjoZTqdT1ePJYZzUGK2OHr4miI964ifnr2+sgC0DvRhS57TpsEvQ6AMAhzeMH34UwifugajyhXCkOzw0Z8bhCcTMqQnhYGcx/jixTJNeGCPdC1rGyuXfI6l79ScnCvH8pNw8JzG5XEd6iGW0OgKMde20isM6yo04AJcgJlKszRvEyp0uLN7eiZU7XXB4AhmJM6G8ANsWVmLppFLMri7C0kmlWZk0L7UnzIHz0nNmAPENL9v9Zm54SRkjda86JYZOEhGR/hmyJ4VIbQ5PIG44SSZX3Mr05HwlpPaEAcSHo0XmzHDDS9Ka1L1aVcrncEREuYp/wYkUaGrxxA0nie49MKK1DVZMtAobfxOtBZg5ukj085ENLeU2vHR4Apr0RlF+kbpX19RzkQciolzFnhQiBfKxd0BqTxgA+Li7S3JDS7ENL8eVhHDv5FLcsYP7v5D6pO5Ve6g320UjIqIUMUkhUkCud8DIpIadyW1oKdZgXDHKhV9/6uP+L5QxYveqRgv4EBFRBjBJIVJgbYMV+88J56RE9x7km0RzZmLfb23twtnT+dcbRURERKlhkkKkQK3VghdnlWBTK0R7DyixfO2NIiIiouRldeL87t27sWzZMkydOhV2ux0vvfSS4P0HH3wQdrtd8N8tt9ySpdJSvptQXoDNcyvw2qLR2Dy3gglKkqQmN+drbxQRERFJy2pPitfrRX19PZYvX44HHnhA9DM33XQTfvGLXwz9XFQkvrIQkdYcngCaWjw42xtEDXtWEpKa3MxrRkRERLGymqQsWLAACxYsAACsWrVK9DPFxcUYM2aMlsUiSsjhCXClqhTIzWVh0kdEREQRut8nZc+ePbjiiiswY8YMrF69Gp2dndkuEpHorupG3zclkyJJ35YTPuzq6MeWEz7csaOL+6gQERHlKVN3d7f49tEau/TSS/H0009jxYoVQ6/9/ve/R2lpKWpra9HW1oampiaEQiG88847KC4uljxWa2urFkWmPPbAkWIcvBg/4XuGLYjnpvXhtM+E59oK0dlnxujiEB6YMIBLS3Xxq6ZLjx2z4M3O+F6Tr44O4IkpTFSIiIiMpq6uTvZ9Xa/udeeddw79/1VXXYXp06dj2rRp2LFjB5YsWSL5vUQnnYzW1lZVjyfF7XbDZrMxTgqyUUeTzrhw8KIv7jOTKkegqLoG3xMMBSvAMX+J4qFgWl47rWIlqqOe450A+uNe9xaUo65utOI4Rry/9VJHajHitWMd6T+W0eoIMN61Yx0xTizdD/eKVlNTg7Fjx+LEiRPZLgrlObmVqjgULHlcnpiIiIii5VSS0tXVhbNnz3IiPWVdZKWqpZNKMbu6CEsnlQ71lJyV2JyQmxZK4/LEREREFC2rw716enqGekVCoRDa29tx5MgRjBo1CqNGjcJTTz2FJUuWYMyYMWhra8P69esxevRoLF68OJvFJgIgvVIVewWSx+WJiYiIKFpWk5RDhw7htttuG/p5w4YN2LBhA5YvX45nnnkGR48exX//93/D7XZjzJgxmD17Nn71q1/Bas29p6tcXjV/rG2w4kBnv2DIl9F7BdS4v+WWJyYiIqL8ktUkZfbs2eju7pZ8f+vWrRqWJnO4p0Z+SadXwOEJYF2zH12B/pxJZnl/ExERkdp0vbqXUchNpOaTY2VyrScqlV6BXG3s8/4mIiIitTFJ0QAnUqcnVxvvycrVxj7vbyIiIlJbTq3ulas4kTo9+bKkb6429nl/ExERkdqYpGiAy6umJ1cb78nK1cY+728iIiJSG4d7aYDLq6YnVxvvycrVVcF4fxMREZHamKRohMurpi5XG+/JijT21+1zwRUw51Rjn/c3ERERqcmQSYrb7db18cT4fL6Mx8jVOHYAL9xYhI1HA3D6QqgqNWNNvQX2UC8iVWOUOrID+NHVYZSWFg2+EHWOmaDV/QAYp460jKN1LCPVkZaxWEf6j2W0OgKMd+1YR/kXx2azyb5vyCQl0Uknw+l0qno8OYwjbZoNeH6s+HusI/3HYh3pP5YR60jLWKwj/ccyWh0Bxrp2WsVhHeVGHMCgSQoRkVK5tgcPERFRPmCSQkR5K1/24CEiIso1XIKYiPJWvuzBQ0RElGvYk0JEacnl4VL5sgcPERFRrmGSQnkllxvUeqTVcKlM1Vu+7MFDRESUa5ikUN5Q2qBmIqOc3HAptfZNyWQilC978BAREeUazkmhvKFk/kGkQbzlhA+7Ovqx5YQPd+zogsMT0Lq4OUGL4VKZnDcS2UBz6aRSzK4uwtJJpZw0T0REpAPsSaG8oaRBLdcg3jhd2RCgfOqJ0WK4VKYToVqrRbVeHyIiIlIHkxTKG0oa1PIN4sQN73xb0laL4VJS9Wa1mLByp0uQDNpVi0pERETZxCSF8oaSBnW6PQOP7nNnfI5GpiXTExQZLtXU4kFHbxDVGeg5Equ3ceVmHOnqR3tveOi1A539eOHGIkzTbjNcIiIiyhAmKZQ3lDSoZROZUK/s8R2eAP58uk/0vVxY0tbhCeDRfW78+XQf+kLDryfqCcr0cCmxeuvpD2F7u/Ban/QEsfFoAM+PzVhRiIiISCOGTFLcbreujyfG5/NlPIYR40QorSM78MXcki96RkK9iP6qHcALNxZh49EAnL4QqkrNWFNvgT3Um/Cc1jX7BY37aBWWkOIyanntIrHavEHcvcsPhzcc95mTniDW7XNh08yStGKl83sUW2/felciGfQOGOr3VetYvHb6jgOwjvQeB9CmjgDjXTvWUf7Fsdnkhz4YMklJdNLJcDqdqh5PDuOkRu06mmaD5NN4uThdgX7R10sKgPWNFbAlMQRKq2sXibXpsEs0QYlwBcxplUntOho/Moi95+P/WFaXFxru/tYqlhH/1mkZi3Wk/1hGqyPAWNdOqziso9yIA3AJYiLVSM1nmVdTrPtJ81ILBkTobXPDtQ1WTLQKyzTRWoA19fq+zkRERKSMIXtSiLJBaj7LU9frfya3VIIFZG5zQ6UT9KU+Jza/yJ5g3hARERHlBiYpRCrRYqWrTBFLsEoKBnuBnrrepvo5KF2qOdHnYifsazTMmIiIiDKMSQqRinJ1Y8BkE6x0N6yU2zQz+vop/RwREREZC5MUIgKgPMFSY8NKqTkwfzrlx8qdrqGkR25zTbFEiZs5EhERGQOTFDKcdJ/y651a5+fwBLCu2Y+uQH9Sx1Gjd0NqDow7EMaWE76hpEdut3mxRImbORIRERkDkxQyFDWe8uuZWueXznHkejeUundyKd5o88E7IP5+JOkRmytTXmjC3nP9cPWH477DzRyJiIiMgUsQ5zmHJ4CVO11YvL0TK3e64PAEsl2ktMg95TcCtc4vneNI9W4oXabY4Qngod1uyQQloqM3ODRXZumkUlx3SSHKCwHvQDguQYlw+iR20yQiIqKcwp6UPGbEXod0n/LrfaiYGr0Y6R5HaqnlyDLFYtcwmliCJCaS9ETmyqzc6cKB8/KZTVWp9s9d9H7PEBER5SImKXnMiCsnpfOUPxeStnR7MdQ4jtxKYFLX8H9NNqHui58TbRwJiO/Nkuh72djMMRfuGSIiolzEJCWPKX2anktPihM95QekzycXkjYl56fFcaRWApO6hs+1FeKmawZ/lkqQJowoQO2IAsnlj+U2nBxdYsK2hZUpbeaYzv2dC/cMERFRLmKSYgCpNrKUPE3X+5NihyeAx45Z0HO8c+jc5fb7kDsftYZSZZJaG0ZGjrNunwuugFm1jSelrmFn//AwLKkEKdE9tbbBijfa/PAOxM9HuWlsCWqtlqQ3c0z3/s6Fe4aIiCgXGTJJcau87bTaxxPj8/lS+l6bN4i7d/nh8A433Paf8+PFWSWYUB6fhETHWV0H7D9nEny3ttyE1XXD57yu2S/6pHjdPhc2zSxR/XySMXzuFgD9AIbPfeP0AgBfnH+od6jxKnc+lRJt0gpLCG63W5NzAhJfOzsgeX7JsAP40dVhlJYWpXWcaJUW8Ynro4tCQ/eUHcALNxZh49EAnL4QqkrNWFNvgT1BfDuA/7qhCN95vw/ROUD0PZtsHaV7f0udb+SeUaLNO7gq2TlfCGO+uBbRv7ta3XeAvv/W6TkW60j/sYxWR4Dxrh3rKP/i2GzyewYYMklJdNLJcDqdqh5PTipxNh12CZIMAHB4w9jUCmyeK368SJxpNuDVRQHZp/JdgX7RY7gC5oTlzfR1S+Xc5c7nJ7PsONLdFfeEf31jBWxfXBM93wt6iLW+sUz0Gj4wwSeIM82GlJYKXmgD9oyRv2eTOZ9072+p842+Z+Q4PAF8+/3o74dwpDsc15Ojxf2g9791eo/FOtJ/LKPVEWCsa6dVHNZRbsQBDJqk5JN0h5sk2mV8pMUk+nqyE7UzIZVzlxviptZQqnwmdQ1PnuzByp0uVeY1Jbpnk5HuQgTp3jOc00JERCSOSUqOU2u1JzEOTwBHuuKfNI8rNyc9UTsTUjn3RBPG1WwA56vYa+jwBPDQR8Vo9w93E8fO+8jW4gxqLESQzj3DOS1ERETiuJljjlvbYMVEq7BRnspqT2KaWjxo742fpDxtlEUXvQti515eaMJJz4DkxpTRmwPOri7C0kmlulkEwGgiG4Xe8non2v3CPzXRG0dGJq9vOeHDro5+bDnhwx07ulLaWLTNG0xqc9Js3w+ZfMhARESUy9iTkuMyMUQp8lR7xym/6Pud/qBqQ3fSETn3h3eexvlwKT7uHoB3IIwDnYEv/hNfpYm9JZkntmpWrEhvgVpDnhyeQNwiEkpW6srm/aDWktJERERGwyTFANRsZClpXH50YUCw83c2lySutVrwxJQAnj4zMm43co7tzx4lu8pHegvUGvLU1OKJW0hB7/cA50ERERGJY5JCAkoal76Yt/XQEOTYfn1Rsjt8pLdArSFPuXoPsGePiIgoHpMUEkjUuJSS7YagHsf2Z2syuB7iS9VHRbEJIyxmVJaY0dTiwdoGq6IhT0rORY/3ABEREaWGSQoJSDX0Esl2Q1BvY/vT3ck81+OL1ce4cjMQDqOtJ4i2nqBg3pDckCel57K2wYr954RzUji/g4iIKDdxdS8SEFsxKxE9NASzvUpTLLnJ4PkQP7Y+vjo6gGmjLHGrxUXKFBny9Nqi0dg8t0JQb0rPpdZqwYuzSnRzDxAREVHq2JNCArETec3hMPafDwjmoYwrM+GayiJ4AmFdTfTV09j+bM+PUBLf4QlgXbMfXYF+0SFU6Q4Xi66P1tZufO94/HLWsWVK9VwiJpQXYPNc7XbDJSIiosxgkpLHpBqhkcZlZJhNdIJSXgj8Ys4ofKWmNHsFzwHZnh+RKH6iIVSZGC6W6jXJ9rUkIiIi7RkySXG73bo+nhifz5f4QyrGafMG4/aU2H/OjxdnlWBC+WDjb12zP26YjXcA+N8fXcTVZfE70YvF0YraddTmDWLj0QDO+UIYU2rGmnoLRpvlzzkgg1ftAAAgAElEQVTa6jpg/zmT4PrWlpuwui5xWdW4donii9XtSU8Q6/a5sGlmScL3M1EmNb6n9e+R0WIZ6W+dlrFYR/qPZbQ6Aox37VhH+RfHZpMf+WDIJCXRSSfD6XSqejw5WsbZdNgVt6eEwxvGplYMDZfpCog3yl0Bs6KyanU+ateRwxPAt9+P7kUI4Uh3GC/cWIRpCuNMswGvLgqkvP9FuueTKH6iuk237mM5nU5MG1uR0jVJ9loa7fdVq1hG/FunZSzWkf5jGa2OAGNdO63isI5yIw5g0CSFElMyzj9fh9lITdTeeDSA58cqP06258jIxU9Ut5mq+1Svidz3ooctVlpCWN9Ypos5UkRERJQ6Jil5SkkjVK39K3KNVALn9IU0LknmJKpbvS3pLEVs7syR7i6u6pUGI/5OExFR7mGSkoPUaEQoaYTGrvQVO8xm91kfvvnWBXgHhoeNRSZX29M8RzFaNZ6kEriqUuOs2B2p23X7XHAFzHF1m6ju9UJueWK9rPSWS7K9vw4REVEEk5Qco1YjQmkjVGqYjcMTwDffcsE7IHw90kDcOF3dIWFy5602qQRuTb2xGmm1Vgs2zSyRHF+a7eFqSmR7qWejYdJHRER6wSQlx6jZiEinEdrU4olLUCIGG4jKkxQlPSRy5/0/k5gnooRUAmcP9aobiNKWr/OmMoVJHxER6QWTlByjl0aEVDmA5BqISnuGtD5vsQROoxULSYJYMpsrc2dyBZM+IiLSCyYpOUbtRkSq8zykylFeaBpsICrsdVDaM2QtNIl+n42nzNHTBGq5ZDa616vCEsL6xgrOn0gRkz4iItKLrM4E3r17N5YtW4apU6fCbrfjpZdekvzsP/7jP8Jut+PZZ5/VsIT6s7bBiolWYcM80ohweAJYudOFxds7sXKnCw5PQPZYkYbflhM+7Orox5YTPtyxoyvh96TKUV4I/J9bRiXVQFTSQ+LwBPDhhfgylRYA907mzveZkM69IXfMZO7PaI/sdUsms5Fer9cWjcammSVMUNIQGeq4dFIpZlcXYemkUk6aJyKirMhqT4rX60V9fT2WL1+OBx54QPJzr7zyCg4ePIiamhoNS6dPUvMlACQ9oT6d+S1qrf6kpGeoqcWDdm/88r++IPDQbjf+12QT6pKKSomoPYH6tM+Eh7afF9TjnnN9+OOiSxLeMw5PAH852yf6HudKqC8XFkwgIiLjy2qSsmDBAixYsAAAsGrVKtHPtLW14ZFHHsG2bdtw1113aVk83RJrRKzc6Uq6UZnuPA81GjNKhpfIzX856QniubZC3HSNfBy1hy5FjnfiYgCd/jCqSs2YaC3U5TK9qVB7DtAzJy1xiWa7N4RH97nx21sukf1uU4sHfomwHO5HRERkTLqekzIwMID77rsPa9aswZQpU7JdHF1TOmxqXbMfXYF+1JQV6GKeh5IeGanelojOfvlRi2rv/SB2vLaeIA50Bgyzp4Tac5/+elG8jpo7+xN+V+reLjGDcyWIiIgMStdJyoYNG1BRUYHvfve7SX2vtbVV1XKofTwpTqcz5e+OCFoAxDeMy4NetLZ2Dw63+agY7f7hxmJ1UQhjioBzUY38cSUhrBjlQmtrV8pliUjmfKKXEe7v6EJrx/DPK0aZsKdEWPZoo4tCsnX02DELTnqE1+akJ4iHd57GE1OSm2PhdDpFj5fuccXiaEUsltg1T+/eKBF9NRgMJvz9krq3v2wfQH/H54J7BdDu2mW7jjIhF/7W6TUW60j/sYxWR4Dxrh3rKL/i1NXJD9bXbZLy3nvv4be//S3ee++9pL+b6KST0draqsrxEg03crvdkpvqKfGj6gCOxTzdn2gtwI/mVqHWasHTO11o9/sE3+noN+Nr44tRbjHLzitJZahUuucTrQ7AHycG8MheN/5ytk8w9GeitQAPTPDJ1lHP8U4A8U/svQXlqKsbrbgckXOSOl6qx5WKowWpWJFrns6co+j7psDkE/1M45hS1NWNlz2O1L397M1VceXR6trpoY7UptbfukSMeO1YR/qPZbQ6Aox37VhHjBNLt0nKrl270NHRIRjmFQwG8fjjj+PnP/85jh49msXSJUft4UZiEg2bkhoy4wmE8dtbpOeVJFv2SMP01MU+jB8ZVG2ORq3Vgt/desnQ8aPPsb/DI/tdtYcuJRp+pvd5EtHJQ6UlhPWNZaJ1lM6co/j7pgBmANGzUsaVmfDU9Yn/2Km1SAMRERHlDt0mKffddx9uv/12wWt33nkn7rzzTtxzzz1ZKlVq1F4pSYpcozLVhrpU2W95vRM3jS0RNBZjG6Z7z/sykozFnmPscJ9Yau/9IHY8NY6rBbGk80h3l+rzaMTumxCAmlITrrBZkk40uOIUERFRfslqktLT04MTJ04AAEKhENrb23HkyBGMGjUK48ePx+jRwiEzhYWFGDNmjGbddGrRwy7xqTbUpcre6Q9jywlhEiKV0ChZwSmT1H4SH328kxcDcPrDGFNqxmU5sLqXVB09steNEUVm1VY/k7pvLvSH8ZNZdl1fIyIiIsq+rCYphw4dwm233Tb084YNG7BhwwYsX74cP//5z7NYMnWpPdwoFZGG9bp9LrgCZsUN9URDm6J7hKQapm+f7oPDE8hqw1TtJ/G5+mRfqo5i5/qk2wMmdd/4g1C9B5GIiIiMJ6tJyuzZs9Hd3a348x9++GEGS5M5ag83SlWt1YJNM0uSmvQkN7QpItIjJNkwDbFhqhdyyUO0dIcjrm2w4tXPfeiL34NTdxswqr2HDhEREaVPfoMJUkWkF2PppFLMri7C0kmlObOXRnTZR5eI3y6RHqG1DVaUSHS8ZLJhetpnwsqdLize3omVO11weNJb/tfI1jZYMdEqrKRiib8C6dRZrdWC+ZcWi76np4UFInN0tpzwYVdHP7ac8OGOHV28h4iIiLJMtxPnjSZXhwcBw2UXm3RdUgD09IeGhnPNqynG9va+uGM4eoIZGfLl8AS+2P9leIlbo2yomAmRpPORvW4cOB9AKBRCcaEZZ3rjuzzSTSY2NNrwcXf80sF6WlhAq0UtiIiIKDnsSSHFIg3cr40vRqRTxR8Etrf3DT19fup6W9yTemBwR/ZMPKFuavHEbfIYaWSStE/cA+j0h9DVD5zpDaHQJHxfjWQiuhduhi2YVA+iwxPQpHdMD4taEBERUTz2pFBSaq0WlFvM8Mc8eI9++rxtYSX+5o1OtPeG4z5z25tdmDCiQLWx/1KNzJMXBxu5nGcQT6z3YCAMTBhRgNoRBaruQxLphXvniAsvXQD+YVd3wvrQYl+hCD0sakFERETxmKSoKF8m4CZ6+lxrtWBcmSkuSQEGe1TaegY/p0bDU6qR+XH3AA6cHxj6+Y02H660F2LSSIth60UpqfqrHVGA1xaNFn0vHckOydNyCJZeFrUA8ufvBxERkRJMUlSi5dPfbFPy9HlMaez+4vFiG56pNNLWNlix54xXMOSrvNAE74AwQfIOAAfPD+Dg+YGM1UuuNDK17j2QG5InlnRkYgiWVN3oZTd7ub8fdonP58K9RkRElCpDJilut1vz461r9os+/f3+rvP4zxvLEn7f5/Ml/Iwa1Iizug7Yf84Eh3c4EagtN2F13fC1emhSEM2dwBm//LHaL/bB7XajzRvE3bv8gmPuP+fHi7NKMKFcuvFsB/CTq/rwK6cVTl8IVaVmtPUEceiCdMyTniDW7XNh08wSRecbIXftUi1/snHUoKT+0tXmDWLj0QDO+UJovSierEbqPlalRfzzFZZQwvKJXbtEdWMHsHF6AYAv6inUi0SXQe06kvr7sW6fCz+6Wphwq3mvxVL7b6cYrf7WaRlLy3NiHek7DqBNHQHGu3aso/yLk2hLDEMmKcnsA5KI0+lUdLyuQL/o67s6Q+g2lyl6yqlmuTMZZ5oNeHVRQPbpc4k3CHNBHxL1powbWQybzYZNh12CRhcAOLxhbGoFNs+VL++lpU48f8uYoZ9X7nTh0AX5XyRXwCy4DkqfTEtdu3TKLyaT90J0/bVf7MO4kcWqPol3eAL49vtdsnvrAMN1H2t9YxmOiKwKtr6xArYUfo/UrhupOOmQ+vvhCphRWlokiJWp81H6t04NWsXRMpYWcVhH+o+jZR0Bxrp2WsVhHeVGHMCgSUo25NsO24mWVN54NIB2r3yCEj32X80hPko2oIwe2iQ31AbAUPJSaQlhfaN4wplrq0RF6s/tdqv+B0dsTkksuXkfag/ByoW6SWYIXi6cDxERUbqYpKhkaIdt70XgzKdAcAAIDQClI9FRfZ3od9566y20trYiFArB5/Phtttuw5QpU+I+FwwG8cILL8BsNsNsNsNisWDZsmWix2xra8Px48dRXFyMkpISVFVVYfz48aqeqxIOz4Do66OKgKsriuIanunOk4jtCfnJV2z49ac+fO4ZwNELA4I5KrENZKmJ2o/sdeMT94DgvSPdXUPzWaJjRhYDSLX8RiLViB5dYsaV9kJFSYea+wrlwgpeshP4Q72Cz+bC+RAREaWLSYpKIjtsv/Hno8DPvzv8Rl0jquf9TvQ7L730Ev7whz8M/fwnbwU2/9OkuMZbIBDA9773vaGfi4qKsGzZMtEhStvfeAOPPPLI0Gfvvfde/PjHPxaNv2jRIhw7dgwlJSUYMWIEfvnLX+Kaa66J+1xXVxe2bNmCESNGwGq1oqqqCjfccIPs9TjfbwIQv7qXtUh8Bal7J5fiDyd9iJ7vXmgafD2R0z4TviezaEHkOkk9lZdqVB84H0BnzFrLkQnfaxuscb0vhSYIyq+3jQu1ItWIvmlscVZ6FPW0gpcUud6j2KHTuXA+RERE6WKSoqINjTa07C9CR9Rr5tAATnyxZ0ds47gvLFzxaL+zH3fs6IpbeSoYFDaiCwoKJIco3dkr3PSuuLhYsrwXLlyAy+VKeF4Oh0OQ+Fx77bXYuXOn6GefffZZvPXWW+jpLQEKbcB1i4FJM4beH1z1K96vPxUmKMBgg//Xn/rwlRr5ROW5tkLJJWvXNlgTzjWRalSLJVnA4LAaLfcaSZfWK0GJNaLHlYSy1ojWywpeiSjtPcqV8yEiIkoHkxQV1Vot+NENFbgn6rVQMCi59O1HF2MOEA6JLs0qlqRIDVH6U5twaEhJifQKVn6/cOktq1W8EenxCHdvHzFihOQx//rXvwoTmNprBEnKZdbBWy4cDmPKlCmw2+0YPXo0jg2MBJY+BRQIb8nIOHu5hnZnn3ji87lnQNGy0FJPpqfaC/HGqb6441aXFWi+10iqsrE0tlgjesUoV1Yb0WoOHwMGV9jadDh7m4XGno/Dw81LiYjIWJikqGxKTSVuuOEGHO8BOvtMQPWkofdiE5DiK28AAiWAyQTABIwZ/GzsBNjCwkLce++9CAaDCAaDKC4uRqtEI7nfXoN58+bB7/ejr69Pdj5KX5+wAS6VfCSTpHR3dwtfKBuelB09JMXtdsPpdMLpdOLTTz9FYUk5sCz+dqwuK8CPN/8aT/xwA4IjxwC2KuCaW3Gg8/ahhvbo4hCGlo+Ncs4XipsrIpYESj2ZBoCPRVaZivTOiNHbvAAtN0aMFtuIbm3tylgsrTk8gbglgLO5J1I+7dFERET5g0mKyq688kps374di7d3orMjflnR6ATk2oXfwKd1i+I+80m3cHhYWVlZ3LySlTvFh2lNm7cYm3/wbUVlbW5uht/vR29vL3p6elBRId5oHT9+PFauXAmPx4Oenh40NDRIHjM2SbnpitEIVsdPlHc6nYLP1YwZjUJrgWhCsPy3nyF44Rxw4dzgG1WTBA3tByYM4Ji/ZPC7Lz4MDARgqxkPjLkUmPJVoHSkINY7Z/rg8AQEDTipJ+3RyUuFJYT1jRWotVpyZl7AiYsB0ddPSrxOiTW1eOKWANYi8ZMrTzYSUSIiokxikpIhSlbgkVoqt9MfxpYTPtmnoWo0kkeMGCHZKyIcXjUea9f9UNFT2WeeeQYdHR04c+YM+vr6sGRJA6qq4oc/dXZ2Cn6uGVOFzRLj7LvOnRV+2VYFYDjhu7Q0jG0LK/HoPje2H92JsM8D9weAGwD+bR4QM6Wl0x/C37zQgr8r/Agz6+swadIk1NTUwGyOHzYWnby43W50A0PDaqbaC3GlrRA9A2Hdzgvo9IvPq3FKvK61XNw5XW9LAOutPERERGpgkpIhSpKI6GFGfzntw/mY6Q9yT0MzOXk2neEjV111Fa666qqE+29cf/31OHbsGDo7O9HZ2YmugEm6seoW9rrAPrhxY+zQqr+ecSHsixqGZSkGrJeIxm//cD/W//djQz9//etfx69+9SvZc2vzBuM2KZxoLVB0XZJpjKs536Gq1Cy6PLLUAgaZ4PAE8NgxC3qOdwrOJ1eHKeltCWC9lYeIiEgNTFIyRGkSEXlS/9XXzuJ8X/zmh3JPQ9WeDByR7vARhyeAdc1+dAX6JRvZ7b0hNH1iwdneMbAWVuPD7gDavcO7xEc3Vl/9/17EnS9/gvYzZwH3OWD8NNG9TtocbcKCjBr7xXwfEa7Tgh8nTJggeS7zv/o38PVcRGj0RPgqJwE3LgVGjlZ8XZJpjKs932GitRAHOuOHdkUWMMi04XO3ABgc/hg5n1wdprS2wYr954R1lM2hfrky9JCIiCgZTFIyKJkkYvDJdnySko2noekMH1HSIBf7TKzoxuqUqpH44//4EpparpDf62T0BOCh54GudsB1Biguky6o64zgx8svv1z0XG5/8zzOf3YU8PcAjk8G3/jyHYLPRa5LV1cX2traUFdXJxhGl0xjXO35DtluwMqde64OU6q1WvDirBJsaoXo/aj1EDYuSUxEREbEJEUn1tRbcKQ7rIunoekMH1HSIBf7jJjoxmqihK+mrAAoLgcuv27wvy+UFwLeAZEvXDETFZYQav2n8dlnn2HixImi5/L52c7BBCWiqBSwVws+F7kub731Fu6//34AwLhx47Bs2TKsXbs2qca42g33bDdg5c4n1fts91kfHtzlRndfCPZiM34+y5ZwLx21TSgvwOa58cMZszWELVO9qkRERNliyCTFHbtFs86OJ2a0uR8v3FiEjUcDcPpCqCo1Y029BfZQb9yO0+nw+XwJP7O6Dth/ziR4ol9bbsLqusTX4tTF+H1FAKD9Yt/Qd6U+E6vCElJ87aXK/HRDEb5/sB/tvTETxRu/gdl3fRObZpYgHB58LzbWqYt9wPmYIWRVk4CoCfbR1+XIkSNDr7e3t8PtdsPtdqPSEt9DhkNvInhZJU5MuQaVlZVDL4t+Fsldi1h2ABunF2Bomeaoe0rJ/ZAOufNZXVeQ9H22tzOAFbv6hjb+vBgI4vYdLjwzw4I/nwvjrHcANeV+rKm3YEJ55nohpa7buma/aJK+bp8Lm2ZK71kUrc0bxMajAZzzhTCm1IyHJgUxOe0SK6PF37pM33PZiKXlObGO9B0H0KaOAONdO9ZR/sWRm7sMGDRJSXTSyXA6naoeT840mw3Pj1X+ealhJYmGmyQ6n2k24NVFgZSevo8fGcTe8/E38biRxUNxpT4TbaK1AOsbK2BTMITG6XRi2tgKyTJfOSb+6Xbs8SXP5bLpwBPvAc6TwLkTgKVEcld5h8Mh+H5DQwNsNhvWN5bhSPR+K+EwzL9fj/e9bjSsB6qrq/HOO++guroa6xvLcNjVGTffIVFZ05HJ+zvu3DF8PrVWS9L32T//qWMoQYkYCAPfOxhAMPK6awBHusMZ770Qu25dgfhlxwHAFTArus4OTyBmcYYQDrtMeHVRWcZ7v7T8W6dVHC1jaRGHdaT/OFrWEWCsa6dVHNZRbsQBDJqk5AOpYSVrv1SO1e974B1Ib+J1qsNHxOZAlBQAPf2hob1JxD4zrsyEayqL4AkIl/N1eAJ4ZK8bfznbB3/UA2qxc5Iqc6pDnobKaaoARlQAk2bIruZVU1ODyy+/HCdPnkQoFMJVV10lGt/m68Tr3uGnOB6PB1VVVUOfjZ7vUHb+BG7ucyDYeR3CIybCJLUQQJYkSogj5/7wztPwFpTHXftk77NukcUlAAwnKF/I1gT8dFfaEhsK6fCGdb+YABERkdqYpOQoqbkf9793Me5Js5YNtkijdM3uLrx3Lgh/CPAHge3tffhkR9dQA19J0iA3wT7ROYk1npM9/9hyRjZzBIb3SolumP/7v/87AKCvrw+tra2YPHmy4FiR+H/60yG8HhWnvr5esEdL9HyHDRt+iYd/9CM8DGDkyJF45JFHsGrVqqTOIx1ySYjS+Re1VguemBJAXV38fjnJshebcTGgbH5ONibgp7tQQa4uJkBERKQ2Jik5SqoxE5ugRKTayEllpaJaqwVlhSb4Yx56RycWSp6gJ5pgL3VOak5eFtvMMdGxi4uLcfXVV0ses7KyEsuXL8dHH32ETz75ZKjHRczhw4eH/v/ixYuwWqUbu7t27cLVV18Nu92u9PRkJbqO2VhC+OezbLh9h0twn5sAiN322VgZL92FCrjnCRER0SAmKTlKqjEjJbaRoyT5SKexf84nPiwnmWRJKhGLkGq4ZbLxrMaxZ8yYgRkzZgAABgYG4PV6JT/7wQcfCH6ePn266OdcLhcWL14MAJg8eTIaGxuxadOmtIaHJTpXLZ/6R9+vs6qLcKw7gN4BwFZsxuMN5Wg65NXFynhAeittifXE1JabuOcJERHlHSYpOUqsMVNeaBLMRYl+PbqRozT5SKdBrsa+L3KJmFwjNJONZ7WPXVhYKDkJLRAIYOnSpTh06BCOHDmCvr4+XHnllaKfPXDgwND/f/rppyguLpZMUILBIAoKEtdDonPV6qm/2P060VqAN/9m+H69rqoETS0etF/sw7iRxTm7T4hYT8zqOuTkuRAREaWDSUqOEmvM3Du5FA/tdsckLsD/uWWUouTjtje78NpXhxt+6TTI1dj3RXQSvhm4+dJibGi0STbcMtl41nI4jsViwRNPPAEACIVCOHPmDCwW8XNubm4W/Dxz5kzJ4z700ENoaWnBDTfcgGuvvRa33347Kirik85E56rVRpFKkuVI74Xb7ZZdeUTrjRZTEdsTo9VSmURERHrCJCWHiQ0r2bawMOF4eKnko60niDuiJren0yCfUF6Q9iaCaa/KlYHGs9Y7uAsb1WVYawuInn9FRQXq6+vx8ccfIxwO47rrrhM52qD3338fDocDx44dAwBcccUVmD17dtznEp2rVhtFKk2WHZ4A1jX7cdrfB6cvhNElJkwaaRGsFCfXg5gLCQwREVG+YJJiMErGw8sNo4p+Qp1ug1yuLEobhKmM749tPFstJoTDwD/s6k678anlDu7JzAl68MEH8eCDD8Lj8WD77ma81jcOv93eGXe+Z86cEeznYrFYJBOazz87jqKdr8BeMx2FE+rx5eqyuB4sLXY6V5Isi12rth7g4PkBvObwYV5NMUwmiPbIPLpvsKfiz6f7EL3CsRY7xRMREZE4Jil5SCz5iBZ5Qp3MUsGxCYfc+lJqrr4lJdJ4zkQsLRrmQGpzglwowYae+i++N7ixYPT5fvTRRzCbzQiFBlvj11xzDUpLS+OO4/AE8J2f/gGuLU8PvlBchvcX/h3Q+Lh6J6iQ+Pwr4MTFAFbudGFtg1V2JbjIEtjFZtG38fbpvriV6IDkFkRgLwwREZG6mKTkoUjycdubXWjriW/YOXqCQxsvJmqQSyUBL9xYhGkSUwO0XLpWzVht3iA2NJ9Hc2c/ABOuu8SCp66XnhujVGwDd3UdMM2W2pygROd766234vPPP0dzczP27NmDSy65RPI4ro+HJ+OjrxfdplLJ6xYOhzO20WR0svy5ZwBHLwzAOxDGwfMDOHh+AHs6/FCyboHEPpCiCUqEkvlXWiTdZCxMaomIElOcpBw+fBh79+7FsWPH0NXVBZPJhMrKyqHlTr/0pS9lspykslqrBa99tVJ0s8TYuSlypBrFG48G8PxY8e8k2/hO5x90tVbjcngCWPauD6d9kVfC2N7ehw/f6MQfvzY65QbG7rM+fPOtC4JV2fafM+HVRYGk5gRFrtGOU37R70Sf78iRIzF//nzMnz9fclL2mZ4AcLJF+GJd49BxouukqiCAPd9bgBsav4w5c+Zg3rx5qK2tlT3vZEWS5ZU7XWjuDAjea++V2BxIREnBYM+K1M+xlMy/ysZ+MZS7mNQSESkjm6R0dnZi8+bN+N3vfofTp08jHA6jqKgIdrsd4XAYbrcb/f39MJlMGDt2LJYvX46VK1eiqqpKq/KLUns1HC1W1/H5fIk/pHIcO4AXbizC8vf8cQ29k54g1u1zYdPMkrhjtHkHk5BzvhBaPRL7oXgHJK9bpUX8OxWWUNx32rxB3L3LD4c3uhHvx4uzSjChfLgBqUYsKW3eIJa/549KUIa194Ylr5OS4y59yxfXC+DwDh5zTb0F+8+ZBOdeW27C6jrh+Ypdo1hS5yt131WY+4GFq4ATLcDxZiA0ANRMQYUlhA/PuITxWvcCp9uxdWs7tm7diqqqKuzfvz+uZ0WN36NTF/vS+v6s0WaUW8xw+kKoKjXDGwjhrQ7xe0TsWkdEXzepMrVf7FPlnLX62wAY62+dlrGSibOu2S+a1Cr9O8I60nccQLsV+Yx27VhH+RdHbjVOQCZJ+cEPfoDNmzfDarViyZIlmDdvHqZPn46amhrB586ePYvDhw/j7bffxm9+8xv87Gc/w9///d/j8ce1H7sekeikk+F0OlU9nhwt4rR5g9h0OCjolbhsZBDtvf1xn3UFzHFlcngC+Pb78b0vsarLpff/WN9YhiPd8fterG+sgC3mSeKmw664xrfDG8amVmDz3MHjy9VRMrHERM5X7mm92HVSYtNhl+QwJVfAjGljK/DqosDQnKARhSaYTMCjHwRRU4ahHiWxaxQt0fmKlb1pVhn+6v02TnpWAOEw4D6HiTYL1jdWoKnFI4zXuk/w3fnz58fteh+po46ODlRVVcFslpggksD4kUHsPeXkLUEAACAASURBVJ/4j2TRF9v0RN/VxWagyGLB+qjJ/2JPtUsKgHk1xQmH8kWum1SZxo0sVu13Wou/DUb7W6d1LKVxugLxf2sBZX9HWEf6j6NlHQHGunZaxWEd5UYcQCZJeffdd/Hcc89h8eLFsmPNa2pqUFNTg0WLFuHpp5/Ga6+9hh//+McZKSylx+EJxD1xP9DZjytt4reB2FAXuQnKEROtBVhTL924S2aFrHSHa6W7GpeS841dZUrp0DSpc4s+ppIFAKSOY7OYsGB8SUrj3eOu2+UTh44TF+/zI4Ifb775ZsnjLl26FGfOnMFNN92Em2++GUuWLIHVqnz55nsnl+IPJ30Q2bNU4PbLSrG2wYpH9rrxl7N98AcH56S8caoPH3cPD2VUY7U2rZelptym5V5LRES5TDJJefvtt5M+mMlkwpIlS7BkyZK0CpXL9DwhMu4JOAaHGUy1F2KitUBRI0uuYQ0Mrrr0k6/YMKFM/GlhhNIVstT4Bz2d1bgSne+4MtPQdUp2rLnUuZUXIO7ay817kDrOgvElac2JkLpucfHufw44dRRXdx2E7eRezJs3T/R4TqcTH374IQDg97//PbZu3YqvfvWrQ+8r+d359aeJE5TIvVtrtWBEkTluzonURpCp0nJZasp9TGqJiJTh6l4q0vuESKkGtycQVtzIkttjBQC8A4MNyY3T1XkqmO1/0KXOt9gM3DxWOCQo2QnUUkvr/tcNxYo34OzoDeIns+yaXqO4chdYMHFaA15aeKvsff7OO+8Ifp4+fToqKysBiPzuuM5g34lyvHZXneCYUtdhdIkZV9oLUWEJYX1jxdB31Fo4IRGtlqWm3MeklohImaSTFI/Hg1OnTqG7uxvhcPwjza985SuqFCwX6X2VH7leCaWNrER7rACRBqA6SYrYP+j3Ti4VPHFfMcqEOlWixZNKJK60F2JEkXBeRbINYqnGij3UG/fZRHWnVqNHSW9GqvEuXLiAkSNH4uLFiwCEw8Lifnd2/Axtzdsw77npePCur+Fb3/oWJkyYIHkdbhpbjM1zK+B2uwVzbzi0hvSISS0RUWKKkxSXy4V//ud/xquvvopgML7RFdknweVyqVrAXKLVU9tU3Tu5FG84fPBGFSfZJ+7RDdR3zvjR6Y9PVNVuAEb/gy7WW7WnpBh/nBhIulGebIP8swt+HPNAsEdHdE+ZVIM4et8ZuXOLiCw6El2+kRYTxpWZBBP4o+tOjUZPMj2BqcS7//778d3vfhcHDx7E22+/jUWLFg29J/jdCYWAo+8C4TBcxw7hyScPoXbaDDxxcgROegZQXmgSLNksdw9nuyeOiIiIUqM4SVm9ejXefPNN3H///bjhhhviVu8hfT+1dXgCeGi3W5CgROaPpDKpWmoy91ADUKQ3QA1ivVXtfnPSvVWpNMjveescWi4MCN6L7imT6mWS2ndGLkkSK9+4cjMWjStCz0A4I0NEEvUEqjHfqrCwEI2NjWhsbBS8Lvjdaf8I6Oka+rF8xAj8sPsKfH52eAWt8kJgqr0Ql5p9+H+nQrIcHFpD2aTnOYpERHqnOEn5y1/+glWrVmH9+vWZLE9Ou3dyKd5o88Eb1Y7Vy1NbsQZoZP7IV2pKUzqmXANQyRLkqfwDrlZvVSpD8875JPaE+SJ25Hrc9mYX2nrkjy2XJNklytfuDeGGMWb87tbMDBORu7bpzLdyeAJ47JgFPcc7JetZkOD1eYFLrwROfwIAGHXNbHzuEyb63gFg4kgLZnz8B8y/+1Fcf/31+NrXvoabb745bnnE2J44NhpJC3qfo0hEpHeKk5TS0lJMmDAhk2XJaUM9FVEJSnmhKaWeikxQeyhapLF34mIAnf4wqkqT2/dC6h/wn3zFhl9/6pNsRKrVW5XK9RhT+sXmGzEcPUEs3j7cAJ8woiAuSYk9tlyStHF6QVaGDspd21TnWw3XswWRXUvEGmqChLd6DqoXzsPKGg+Ovv8X/LKzAu0ix+7oDeL1119HOBzGnj17sGfPHvj9flx11VUJysJGI2We3ucoEhHpneIk5Zvf/CZef/113HfffZksT84S76kIp9VToSY1h6KJNfbaeoI40BkQ9AaIfS/yFLutJyja2/DNty4I5hvENiLFhlSNKwkl3VuVyvVYU2/Bke6wIHahCYJzUbrvjHwSUpCVoYNy8zf+YVe36HcSJU3JNNTi57lU4MuT78XunS789UT8ZomjBi7i9fffF7y2cOFC0XIEg0Gsb77ARiNpRu9zFImI9E4ySTl48KDg58WLF2PXrl34xje+gbvvvhvjxo1DQUF8g2nGjBnqlzIH6P0fpLUNVuw514d273BPwLhyc0pD0eQ2OIzuDYgmltiI8Q7E7+MSu6dF7BCzFaNcok/C5Yb2SDXI751cipU7XaLfmVBeIIjtkEi0lOw7kygJycaEb7nhe6kmTWr8Xkhdi/8xxgPHtGn44IMPAAD19fWora0VPcauXbvwyrfvBa6eD0xfCFzxZaCgMOmyECml5zmKRES5QDJJueWWW+J2mo8sORy730HkvXxe3Ssn/kGKXTJaZAlpJRJtcCi2BLGSndvljzcs9ol7a2tX7FcSDu2RWtr4od1u2eFA0bEXb+8UHdalZN8Z2SQk1JuVCd+pJHWJkia1NuMUvxbVuHXnTrS1teGNN97AyJEjJY/x+uuvY6DnArD35cH/Gu8Elq1PuixESnFlOSKi9EgmKT/96U+1LIeq3Epmbat8vNV1wP5zJsGO7rXlJqyuU/Z9ny9+OIua1jX7BcvXAkB7bxjr9rmwaWZJUseqtIhPII+osITizufUxb6Exy0rAMTynwpLKOE1jH1/XbNfdGjP93edx3/eWAYAsANf9PgMNlJXN18U/U7kGsWek9R1qLCEYA/1Co6NUK9gMQE7gKemF+L7B0O42B/GyCITnppeCHuodyhObPlij6GGSKw2bxB37/IL7t/95/x4cVYJJpQXwA7ghRuLsPFoAE5fCFWlZqypt8CeoEzp/l5EyF0Lm82G5cuXC84nWjgcxuuvvy58sX5OymWRipMpWsZS+2+nGCNeO7E4qf7OJMI60nccQJs6Aox37VhH+RcndqGbWJJJyt/+7d+qWhAtJTrpZDidTkXHm2YDXl0USOvJt5rljtUV6Bd93RUwJx13fWMZjnSLD92aaC3A+sYKlIZ6BccdPzKIvefjb+4JIwpQVWLCaW8QviDgD4YFU9PLC034+6tGwmaTntcjVkdS57urM4Ruc5lovUh9552OINYcDmJ1XRGmRcURuw6R87cpWPHqkcNdQ4njxYEwHjk8gG0LbbCXZvZeiGWz2bDpsEuQSACAwxvGplZg89zBskyzAc+PTe7Ykd+Lh3eehregXJMeodhr53A40Ns7vCR2YUk5vnzTzbjUXhpXlvPnz+MHP/gBvv71r2Pu3LkoLJSetqd1HWWa0r91ajDatZOKk8rvjBzWkf7jaFlHgLGunVZxWEe5EQdIYcd5YDADPXXqFABg/PjxmhZYz7TYRTjVJVRTGXYjFSt6+M3JiwE4/WGMKTXjMmuh5BLEUkMffvIVG+5/9wLO+sSHnnkHwnhotxvbFhYm1bCVOl9/EJITpaW+4w6EseWED/vPmfDqooBg6FeqQ7ISre6ltUzOqaq1WvDElADq6kanfayU4tfWorW1FTt37sS2bdtQUlKC/7h9vOhnX3/9dbz44ot48cUXcckll2DVqlX4p3/6J41LTEREREklKfv27cMPfvAD7Nu3T/B6Y2MjHn/8cVx//fWqFo6E0llCNdnx0XKxAAwlLxNHWvCfNyVumEs16JtaPHHD0GKlsgLT2gYrXv3chz6REVlSDW+pzRgjHN4wHtnrxogisyBxSyUxTbS6l9ZyYk5VGoqKinDrrbfi1ltvlf3cK6+8MvT/58+fx8vHLuDt7dL7uxAREVFmKE5S/vznP2PZsmUYMWIEvvvd7+KKK64AABw/fhwvv/wylixZgt/+9re45ZZbMlbYfJfOuvuRJGHdPhdcAXPCp/5SsR7d58bH3QMpJUpiPU2JJuFHxCYW0b08I4IW/Kg6IIhfa7Vg/qXFeONU/FyY6rICyV6iSCL1p1N+uAPxydNfzvbBH1WUVPfZkEsK2rxBbDo8vMLYvZNLZfeOUQMn+QJdXV149913Ba8dnbgA6Ijf3yUcDqOtrY17RxEREWWI4iTl8ccfx8SJE7Fjxw6MGjVK8N6jjz6KBQsW4N/+7d+YpGRQukNyaq0WbJpZomh4nlSs5s5+dPrllwlOhlRjPVb0E/34Xh4Lju3oiksWNjTa8LHInJF7J5fK9khtnluBlTtd2CKyN4c/5rKkeu5ySyDf/d4FwfyQP5z0IXplZjU2IIwkaacu9mH8yCDWNljjhvBVlpjR1OLJmx4Em82Gl19+GVu3bsV/b92GgH0cMGbS0PvRdf3hhx/itttuw8yZM3HzbV/H0dr5uFBUwR6XPJfqcFwiIoqnOEk5fvw4HnvssbgEBQAqKipwzz334Mknn1S1cCSk5ZAc6eTBBCC+h0FpohT7j/i9k0uxpyN+5bFo48rN6OkPDe3q7g2EFPUoyQ0xS/R9sSSi2Iykho/JkStb7AT2mK1j0t6AMDbJ23veN5T4rG2w4o4dXUMbVEZv0JlqY8vhCeCxYxb0HNfvsKmh+9J/NWruuhZXz/ufOPRZ/D73kbretm0bAKC5uRnNzc3AtPnA320CIEwiM91oZaNYP9IZjktERPEUJymXXXYZvF6v5Pter1dyIzVSh5ZDcqRiXWkrxPZ28SFUiUj9I/5v11mxttmD8/4wzCZgemUhKksK4AmEYbWYcKSrXxCz2Cx+fLFkIXqIWaRBt+OUP+H3xZKIbl8//v+z8TFSTRLVHP6WDLkkLfL/Yu+lkhQN17kFQPywqWwQS5Rj98cpLzQDl8QP5aouK0AwGMRrr70mfONLXxv638j1iiR8mWq0slGsL+kMxyUioniKk5SHH34Y3//+9zF//vy4XeWbm5uxefNm/Md//IfqBaRhWm7wJxULAD7ZET+EKjpRcngCWNfsR1egX/B0V+of8dXve4Z3mg8DTn8Y/3uuDbVWC1budMX1soj1ZgCJVypLtON97Pdjk4gPz7hwvCezSWIqw9+SJTdsUKo/K9WkSG8NN7H74I02//D99wXvwODy19GvR+q6s7MTtbW1cDqdg28UlwFXzRV8v6N38BxPnvcAb/8nMOM2oOoyVc9db9c232VyhTwionykOEnZtWsXqqurceutt+JLX/oSLr/8cgDAZ599hkOHDmHq1Kl477338N577w19x2QyYePGjZLH3L17N5599ll88MEHOHv2LH76059ixYoVQ+83NTXhlVdewenTp2GxWHDttdfiX//1X9HY2JjKuRqCFsscJ4ollyjJPd2V+kc8toEY3dCS+k5JgXB+SGQ+x8qdLtGhL4l2vFeSbEwoL8h4kri2wYrdZ3w4I97Zo7isclIZNphqUqS3hpvYfRB7/0XUjyrEZdbC+Lq2VuPll1+G2+3Gio0v4sMOD1Ak3Menuqxg8NyPvAX86bnB/2qvBeasQEf111U5F71d23xn9BXyiIi0pjhJ+a//+q+h/29paUFLS4vg/aNHj+Lo0aOC1xIlKV6vF/X19Vi+fDkeeOCBuPfr6uqwceNG1NbWwufz4Wc/+xnuuusuHDx4EFVVVUqLTiqTS5Tknu4q7SUAhhta1kKT6PvzaooxosiMjt4gyoNe/D8zKuKG7EQPfZFq0NksJiwYX6I42ch0klhrteCqUQU4IzKsbHSJGTeNLU47MUo0bFCtIYUOTwBtPeLXPVsNN6XD6QDgMmuhbF1PmDABLz75z3FJeeR6NbV4gAOvDn/B8QFweoZq585Gsb5whTwiInUpTlIuXLigevAFCxZgwYIFAIBVq1bFvf+tb31L8POTTz6J3/zmN/jwww8xf/581ctDqVMy3+Mns+xx/4iXFw4OrYkVWSb4wwuBuPfGlZnw1PW2oYZ6a2s3nv7UJzv0RapBt2B8ie6GxnhElj4GgCvt8o1mpaKH8rVf7MO4kcLER43eokiPmliSks2Gm9R9EHsfKi2j3BDM+6ovYkvrXsHnL73pG6qd+9oGK/ac60P7/2XvzgObqvL2gT/pRhdCS1mFQgGtAoqjIKCy+ToKoiCgFtnGBUURtS7ghqA/scoiI4vbi4yyWBRhXkEEBFER2REBq4BQp1AoS1samqYhbdMkvz+Ylqa5SbPcPc/nL7Jwz7n3nNye7z2b9dL4x5SECDaKFSLncFwionAQ1I7zSqisrMSSJUvQqFEjdOnSRensUC3+zvcQ+iN+R0q0+5wUuD+Jrt0Aq3ZtkxiPP/z1DX3R0lPOFnERADzPW8wn5NU9Qmaz2WNJajF6i7wNr2vbMFLRid3e6sH7vRKx+KgtpMZl3dDympRm+H+z5uD9xZ/j3ME9aHxFF6x/uKfgcf/66y9kZGTgH//4B4YMGYL4+Hg/E3X5fk2yknM4LhGR3hlKSkoC/qtmt9thNpvhEviD2KxZs6Ay0rp1a8yaNcttTgoAbNiwAY888gguXLiAli1bIisry2Pifl05OTlB5YGCM/VINDYUeW/QRcKFD66uQLfG7g3vUzYDnjrYAPnll5briotwYU6ni98dn90Av5Z6Nsy7JTrwv13cVxjzloc7mtnx5lX2mvT+90QUiioj0CzGifFtq9A6Tn2NOqHrkhLrxPtXV6gyv0ICKTu5iVkP/C2rU6dOoaSkBFdffbXgcd577z0sXboUAJCQkIDHHnsMo0aN8pm2P3WeiIhIrdLS0nx+7ndPSkVFBd59910sW7YMZ86cEQxQAMBkMgWWw3r06dMHW7duRXFxMZYsWYKHHnoImzZtQsuWLb3+n/pOOhA5OTmiHs8boSfaWkmn7K8iVC8vK8QBA36wNcaIHu5PGGdtMSG/3H3DRJvz0nc7nDbh11LPDRU7NGmItLRLy8Pm5ORgZr/WOCIwN2Bmv+Y1T67TANxybRAn+F9ylVFzsxnr2sfLMmxEqnPyt+zE5s/5hFoPaqcjVIfzyyOw7HwyFl57qb77uodUVVVh48aNNa+tVivS0tJq/o+3c/L2u7NGJiAtLfCHRXq718mVVp7Fjtd2m1Bsj5B8rxqWkfrTkauMAP1dO5YR06nL7yDl2WefxfLly9GjRw/cfffdaNSokZT5qpGQkIAOHTqgQ4cO6N69O7p27YqlS5fixRdflCV9qp8/E+KFVhwSc4iW3saDa33YiJaG14VCjBW2du3ahYKCgprXRqMRQ4YMEfyu0+mEwWCAwWDgxHkV4F41RETS8TtI+eabbzBy5Eh8+OGHUuanXk6nE5WV3p/ak/+qJ7vnltpRVO5C87gItDdGBdy4F2qQ1iXUcKqvkRVo4KH1hn0g1L7TeN2yS3BY3Xq1AqXW8xUjUOjduzf27NmDrKwsfPHFF7jrrruQkJAg+N2NGzfitddew8MPP4ynB92HvUWRug8E1Syc9qpR62+QiPTL7yAlPj4eN9xwg6iJl5WVITc3F8DF4CM/Px/Z2dlo3LgxEhMTMX/+fNxxxx1o0aIFiouLsXDhQpw+fRpDhw4VNR/hSOgJ4IkyB/YW2QN+Eli7QXqs1I7DJVV+rZTkz9N2PQYeof6x18rT29pll5NTElKAotbzFavH6Morr8S0adMwdepUlJWVef3eokWLkJOTg8mTJyN22jS8/OYMHLzybl30HmpRuOxVo+bfIBHpl99Byn333Ydvv/0WY8eOFS3x/fv3Y/DgwTWvp0+fjunTp2PkyJH45z//icOHDyMrKwsmkwnJycm4/vrrsX79elxzzTWi5SFc+drc0NeTQG8N7NoN0uox2iZ7hFvDSej/6mmIlj/E+GMvx9NbNT01VfPT6kB7++q7rtHR0WjcuLHg/z1+/Dg2bdpU87q8vBz9bvgbnr1eX0G8loTLkDs1/waJSL/8DlLeeOMNZGRk4L777sOYMWPQqlUrREYKrN5Tz8pbtfXp0wclJSVeP1+2bJnfxyLvajeMmkQ7Ma1nfL2b2tV9EphnseOV3Wb8cKoCFbUW6RJqYKcaozG/e6zb5CpfjfNA/8jVbeiNbmxAmpfP1Bb0iPHHXuqnt97KqnqZXrmvrdqfVvvb2xdqgPrLL78gMjISVVUXuymvu+46XH/99YLfdTgcgvdnEhfnXqnjN0hE+uR3kHLhwgXYbDb8+OOP+PHHHz0+d7lcMBgMoq/uRaERahhllxSjY6Lvoq/9JNDXPihCDew8ix2v/VKOYntlTWNWrCdxQnnZGdsA69pfXHJV7UMSxPhjL/XTW29lNfz782772QR7bQMNJPXytDrU30B6ejr69u2LZcuWYdGiRT57td99911s3LgRjzzyCIYNG4bY2NiQ80+eqnvShHqO9UQvv0Ei0ha/g5SnnnoK69evx7333otu3brJtroXhcZbwyi1YSSiDECVwErSdZ8E+hoaBrg3sL09LU5uYKj3//pDKC/55RHI3GcBgIAbgXL3vPj6Y1+dl5OlFWjTyOE1L1I/vfUWSFnrVBaxgsz6gh21PK0W6pEMpK6IEaC2aNECzz//PJ555hk4nZ4bfgIXe1GWLFmC/Px87N27F1OmTMHSpUvRq1cvv9Mh/wn1HOuNWn6DRBRe/A5SNm/ejMceewzTp0+XMj8kMm8No4Pn7YIBitCO4PUNDav9NM1bUORwifMkzldDz9t2fN4agUpMBvX2x/6hK+Pc8rLrnM1rXqRebtmfJaWriRFk1hfsqGF5aW89koHUFTGfRkdGRnodzrVp0ybk5+fXvLZarejUqVPAaRBVU8NvkIjCj99BSqNGjdChQwcp80IS8N7gNAACzfrUhpEef3h8NVrrPk3zFkS0iItApAEhP4kLpqHn7bP6Gsx1e1ky0oAuIT4s9fbHPtDGu5SrngkFUglRcFuxrZqYQaYvSq/yJsZwRbmeRv/6669ur9PT05GczMnNFBqlf4NEFH4i/P3iAw88gJUrV9ZM2iRtmNLViPZG94Zke2Mkbmgq/ARMqNEpdIzYSGBgSgOPJ8negoh2xiisHtAE6R3i0KdlDNI7xAXVYyGUl5RYJ6Z0NXo9V2+NQF8N5uon5ytzbdh2thIrc20Ys60ceRZ7QPkVUv3H/puBzbCwXzJSjdGqmphaHUjVLqsVtyUHdG290erYdjHKR+i6StFr9+qrr2Lfvn148sknkZiYiHHjxnn97sSJEzF58uSapeCJiIjUwu+elCuuuALr1q1Dnz59MGLECLRu3VpwuMGwYcNEzSCFpu6T++RoJ6b1vPg07M86w1fE2M3d19NiMZ7ECeVldGNTTV4CGZLgq8Es9OQ8z+qSbMlNqRvvgc69ESqr1QOiQh7uodWx7aGWT93r/37vJEmHynTo0AFvvfUWpkyZgri4OMHvnD17FkuWLEFVVRU++ugj9OrVC0uWLEGTJk1EzYsUPZJERKR/hpKSEm9D+d14W7vf7WAqWd3LbDaLdqzCwkI0b95ctON5Y7PZvDYmpErnhNWB2YfsKLQ50TwuApM6R6NtQuiN4hNWB2Zml6PYbhD1uN4EW0YnrI6LvSPWSz+B1AQDsnrH4oVfK7DrnOfE5JuaRmB53/iQ8htoXkK9dr6O3SyiUpZ6V7uMpKp3gHS/o1DKJ9Syleqc5s6dizlz5tS8TklJwc8//yzq0sVC594mDvi8b5yk94RqStxXpaS3v0dypqW3MgL0d+1YRuGXTn0Ljvjdk/LNN9+EnBm5iLnKSmFhoWyrtsidTpdEYEkr8Y/fJRH4IMEs2/kEW0ZdEoE1A+2CvQNtckzYdc7m8X9SGjWQ5Lxq5yW/tAIpjRqINjF1/gGTWyMRuNgrND8HmH1dnCzlVLuMpKp31aQun9o9kv6Uj6/rv7Cff3kV+5xcLhe+++47t/dGjBgh+twVoXM/aUNA5x4qPd2/9fj3SM609FZGgL6unVzpsIy0kQ4QQJDSu3dvKfNBpAhvQ9CEhiWlJhjqHZYUypLG1Xkxm8UN8HzPp1D3XBA1qV1XzGYzEv0sVzXNN6pmMBjwww8/YNWqVViwYAFyc3MxePBgwe+6XC688847uPvuu9GxY8eA0lHjuRMRkTb4PXGeSGl5FjvGbTFh0LdFGLfFJMokdm+EJjln9Y71GXAITbYfurFY0nz6Q6uT1fVCrdc/NjYWI0eOxObNm7Ft2zbExwsPY9yxYwfefvtt3Hjjjbj33nuxefNmv9NQ67kTEZH6eQ1Sxo8fj6NHjwZ8wKNHj2L8+PEhZYqoLiUCgLqrcNU3ht7XMrVKCnTVMxKX2q+/wWBA27ZtvX7+4Ycf1vz7hx9+wMcff+z3sYXO3Z8eSbWr+8DkhJU9Q0REYvM63Ov8+fO46aabcNNNN+Gee+7BLbfc4nWflNzcXGzevBmrVq3Crl27cPvtt0uWYQpPvgKAFyWc3xAIMYa25FnseO2XchTbKwMeLuaNr9XZRFxjgrzQ8kZ4x44dw/r1693emzBhgt//X+jcM9KgiXP3Rmhjzz0FBqwZaNf0eRERqY3XIOXLL7/E7t27MX/+fLz00ktwOBwwGo1ITU1FUlISXC4XSkpKcOLECVgsFkRFReGOO+7At99+i+7du8t5DhQG1DK23decEzGWqa3b+PG263yguBGbsrR6/du0aYNFixbhww8/xJ49e3Dttdd6nZ9YUVGB4uJitGrl/tSg7rmLufqiEuRenpyIKFz5nDjfs2dPLFu2DOfOncOGDRvwyy+/4OjRoygsLAQAJCcn45577kHPnj1x++23i76+PoUnoUBADWPbT1gdeGCH9yAi1D1AxNjVnEhMUVFRGDp0KIYOHYpffvkFlZWVMBgMgt9dvnw5Jk2ahBEjRiAjIwNpaWky51YeanlgQkSkd36t7tW0aVOMGTMGY8aMkTo/FOa89Sa83yvRawBQebZYlrzNPmT3GUSEOqyHdBzSbgAAIABJREFUjR9SM1895A6HA/PmzYPdbsdnn32GrKwsvP/++xg9erSMOZSHGh6YEBGFA7+XICbx1e4xaBLtxLSe8boa0xzMcrzeehMWH7V5DQByzkp5FpcU2Dw3dwTcg4hQhvX42/gJZZljkka4l8k333yD3NzcmtdRUVG45ZZblMuQhIJdnpyIiALDIEUhQj0G2SXFosw/UIP6hkZ546s3Qelx/S3iIgB4BipiPUH1Z7iYlPNWKDgsk4tBSbt27XD8+HEAwPDhw9G6dWtlMyURPS4GQESkRtwnRSFqXa5WLL6GRvmi5qEUkzpHS7qUbHXjZ0ibqJq9Weo2dPVeb7SIZQIMGjQIe/fuxaefforrrrsOGRkZXr/70Ucf4dNPP0V5ebmMORRXoMuTExFR4NiTohC9zz/wZ2iUkFAnn0upbUKk5EvJphqjMb97rNcd5/Veb7SIZXJRVFQU7rnnHtxzzz1ev1NcXIy5c+eivLwc06dPxxNPPIHx48d73UiSiIjCF4MUhai5x0AMwQ6NUvueEkoPOdN7vdGiQMsknOevfPzxxzU9KEVFRfjXv/6FJ598UuFcERGRGukySBF7HX4p1vXPSLu4AVie1VXzXmqCARlp0u4jYLPZJDt2bU91cOCAKbjzSwIw+7pIAP9t5Dkv1LvpoBx7L0h97U5YHZh9yI4z1ipcllCOSZ2jPYaRiF1v5KoPgD7KSCidQMrkhNWBMdvK3b67p6AcWb1jvQ4ZCuWcqutUgc2JFnERgnWqNinLqKqqCosWLXJ77+GHH0Z5eblkQ78CuXaBXqtg0wmVnn5HcqaltzIC9HftWEbhl463USPVdBmk1HfSgSgsLBT1eNW6JAJrBtpregySo52Y1jNZlieqUpxPXVcCWDMwXpYeEanKSIhU6eRZ7O4LDZiqkF3i8piTUrfeiHFd5bh2eigjb+kEUibzD5jcAhTg4kaA83OAhf285zuYc/KoU3AK1qlqcpTRTz/9hLlz5+Lzzz9HZGQkxo8fD6NReChnUVERmjVrFnKa/pxToNcq2HRCpcffkZxp6a2MAH1dO7nSYRlpIx3AR5AyePDggA9mMBiwZs2akDIUTmoPHTKbzUjU2ZAPpYdGaUkgGzmG03XVytAof8tEzvkratwctFWrVnj11VcxefJk/PHHH14DlOzsbPz973/H8OHDMXHiRHTo0EHSfCl9rbRSz4mI5OQ1SHE6nR47C586dQrHjx9HYmIiUlNTAQB5eXkwm81o3769bpecJJIaJ1970uPSvnLOKVJznUpKSkLv3r29fj579mzY7XYsW7YMX3zxBSZPnoxJkyZJlh8lr5Ue6zkRkRi8Binr1q1ze71z506MGjUK77//PkaMGIHIyIt/VB0OBz7//HO89tpr+PDDD6XNLZFOcUK8J6WfbktBztXrtFqnDh065NYj73Q6cc0110iappTXqr5eEj3WcyIiMfi9T8rUqVMxZswYjB49uiZAAYDIyEj84x//wOjRo/Hqq69KkkkKb3kWO8ZtMWHQt0UYt8WEPItd6SyJbkpXo6R7sGiRmnsCglW9el16hzive+GIRat16vz587jiiitqXl977bUYMGCApGlKda2qe0lW5tqw7WwlVubaMHRjsds9LLdU+H6m5XpORCQGvyfOHzx4EMOHD/f6edu2bfHJJ5+IkimiauEyFKL20sv5pRVIadQg7Mela7UnoD5yzSlS+3Le3vTq1Qu7d+/GqlWr8M477+CFF17wGHpcbefOnWjYsCG6dOkSUppSXav6eknyLHb8WVIl+H+1Xs+JiELld5DSsmVLrFq1CmPHjkVUlPt/q6qqwldffYWWLVuKnkEKb+E0FKK68Wo2m2VdPUOt1Lyxp1ZodZGFyMhI3HfffT43hnQ6nZg4cSIOHTqEIUOG4JVXXkHHjh2DTlOKa1Vfb2DmPgusAjFKQpSB9ZyIwp7fQcozzzyD5557DrfddhsefPDBmtVW/vOf/2DJkiX4/fff8c9//lOyjFJ40uOQH/KPVnsCSDwREd5HJK9btw6HDh0CAHz99ddYu3YtfvvtN6SkpMiVvXrV1xvo7f7WuXEU6zkRhT2/g5SHHnoIERERyMzMxPPPP1/T/e5yudC0aVPMmTMHDz74oGQZpfCk1yE/5B+t9gSIoXrC9cnSCrRp5GCAVovL5cKsWbPc3hs8eLCqAhSg/t5Ab/e3dkZdbmEmGi7ZTBQeAroTPvDAAxg1ahT27duH/Px8AECbNm1w/fXXewwBIxIDh/xQOKo7F2vXOZsu52KFYsqUKXjrrbeQnZ0Ng8GAl19+WekseaivN5D3t8CFyzxFIgpix/moqCj06NEDPXr0kCI/RG445If0xN8nwOE0FysYBoMBAwYMQP/+/bF27Vr8/vvvXuejWK1WvPPOOxg/frwi8yZ99Qby/hY4/jaIwkdAQYrJZMKHH36IrVu34ty5c/joo4/Qo0cPmEwmLFy4EEOHDsVVV10lVV4pTIXzkB/Sj+1nbBj+/XlYq1w173l7Asy5WP4xGAwYPHgwBg8e7PU7CxcuxNy5c7FgwQI88sgjePbZZ9G0aVMZc+kb72+B4W+DKHz4HaTk5eVh4MCBMJlM6Ny5M44dOwabzQYASE5OxldffYVz587hnXfekSyz/jKbzao+npDqa8l0gsMyUn9a4VxGJ6wOpH9vQ9121DGLA6/tNmF+91i395tEOwWPkxztrPc6nrA6MPuQHQU2J1rERWBS52i0TfBvDpeeyggAioqKMHfu3Jp033//fQDACy+8IGo6/B3Jl1awvw29lRGg3vud2tMBWEZqSae+lUz9DlJef/11uFwu7Nq1C0aj0W2zLQC48847PXapV4qYy7cWFhbKthws0wkOy0j9aYV7Gc0/YPIIUKqZ7BEex5rWMx7ZJcUecxWm9UxGoo+hQHkWOx7YUfv/OZFd4sL7vRKx+KjN5zAzPZbRxx9/jJKSkprXDY1GnLxxLEbvqBR9wjV/R/KkFexvI9B0giVnGQHqvN+pPR2WkTbSAQIIUn766SdkZGSgXbt2MJlMHp+npqbi9OnTomaOiEgPvA1RAYRXqgt2c09v4/X9HWamF9Vzf/IuH47rH4tG/uqPUFRYgKhbHsDXRQ0AVAKo/zpwFSn/yHmdOI+HKHz4HaRUVFQgKSnJ6+dms9nnmvZEROHK21KzvjbtC2ZzT2/BUO0ABdD3RGP31Z+igE7pSL1uKDr98m8cThvk9t3a12HevHlo27YthgwZgoiICK4i5SclrhPn8RCFB7+jik6dOmH79u1eP1+3bh2uvfZaUTJF2pZnsSPjl3IM+rYI47aYkGexK52lkOnxnEg+U7oa0d7oHqgkRAErbmssakPOWzAkRK8TjYV6k/IqonGuxyggzjMgPHvBgePHjyMzMxMPP/wwbr31VmzevBlv/lrqdRWpPIsd47aYau4HJ6z6vJb+8LXaFhFRKPzuSXniiSfw+OOPo1OnThg2bBgAwOl04ujRo5g1axb27t2LZcuWSZZR0gY9Pn3U4zmRvOQaoiK070ZCFGCt8vyuXjdE9T60zgDA5fFuy/hIvP3227DbLz54OHDgAJ555hmkvPWt4FGOlXreD/YUGLBmoD0s7wdcbYuIpOJ3kJKeno78/Hy8/fbbePvttwEA9957LwAgIiICb7zxBgYOHChNLjVKi+OZQ82zHtew1+M5kfzkGKIiFAw9dGUcntpu9nvDQC3et2rz1pt0Q9No/Gmu8rgOj7e2YuCqVW7fnTx5Mn5oFAec81zJprDchRNldXpqrK6wvR94u956DYKJSD4B7ZPy3HPPIT09HWvWrEFubi6cTifat2+PwYMHo127dhJlUZu0+PRdjDzr8amaHs+J9EsoGFo9IMqvXhwp7lt1g56MNKCLhIvDeNvFfcaNFxMVug47duzAW2+9hdWrV6Nz585IT0/HTRecgsdpEhvhEaQA4Xs/8Ha9vQXBRET+CnjH+ZSUFEyYMEGKvOiKFp++i5FnPT5V0+M5UWDkbmiLzd9eHLHvW0JBj9RDo+pbGU3oPNLS0rB48WLs27cPlZWViIyMRKox0qNXaljkf5CZ9Q1w3RigQYLbMVrGR2q+FyoYXG2LiKQScJDy008/YevWrSgqKsJTTz2FK6+8EmVlZfjtt99w9dVX+1wBLJxo8em7GHnW41M1PZ5TOBCrwahEQ1spYt+3BCexyzA0KpiV0QCga9eugscBAJfLhUGD/h8Obd+OyG+/gKP/BKDnPUBkFFITDHjoyjjN9Z6LhattEZEU/A5SbDYbxowZg82bN9e8d++99+LKK69ETEwMHnzwQYwbNw4vvfSSJBnVGi0+fRcjz9VP1V7bbYLJHqGLp2p6PCe9E2PYUnWQ89PpchSVu0+41uscBLHvW1p8WOPNhg0bala4dJiLgJVvoEvHNHS84WZkpAHzj9o013tORKRmfgcpb775JrZt24aPP/4YN910E6655pqaz2JiYjB06FBs2LCBQcp/afHpu1h5TjVGY373WFl3JZWaHs9Jz0IdtiQU5NSlxYZ2fcS+b2nxYY037733ntvrv//97/i/iRf3XTGbzThzoVLw/+mxnhARycHvfVJWr16NRx99FPfddx/i4uI8Pk9LS8Px48fFzJumVT99T+8Qhz4tY5DeIU713f5azDORkFCf4AsFOXVpsaFdH7HvAUL7w6QmeN/AUs2WL1+OiRMnIjY2FgaDAW+88Ybb53oKyIiI1MDvnpTi4mJcddVVXj83GAwoLy8XJVOhMpvNqjheEoDZ10UC+O8fKecFeDuUzea51GUwTlgdmH3IjgKbEy3iIjCpczTaJlz6I1lfOoHk2RexzsdfYpe5ELnOSY50quvJGWsVLkso96gnUhC7jITqerOIi0+zm0Q7Bf9PcrTTr3ycLK3w+XmbOCAjTV/1Drh4Pt7uAfXdW4QkAVh6cwxmH7Kj0OZE87gIPNXBgaQg7yuBEvvaZWRkID09HVu3bkWbNm1qyt9msyEjLQZ7CgzIK7UDmxcBNw9HarMk0euJ3uqc0vfVYOp1feQoI0D5a6fVdACWkVrSqW90it9BSkpKCo4cOeL18127dqFDhw7+50xCYg7JKSwslG2IT6jp5FnseGBH7SEqTmSXuDyehGrlfPylpTJSQzoe9cRUJVhPxCR2GXmr60tvjkGXxERM6xmP7JJij2FL03omI9GPc2zTyIFdAntkNIuNwC2tGlxc3auVfPMM5Kh3vsrI33uLkC6JwJJWl14HOpk9VGKnlZiYiI4dO3q83yUxEWsG2vHw2wuwb91cxPy8GKNefBmdmj+KqKiA16gRpMd7nZxp1U0nlHrtjZxlBOjjb5Lc6bCMtJEOEMBwr/T0dCxZsgQ7d+6sec9gMAAAPvnkE6xevRojR44UP4fkN1/j8MldnsWOcVtMGPRtEcZtMSHPYlc6S7LRYj2pW14v7zILnsPsQxfLMdRhS0LDlNobI/H9oKZY2C9Z8l4ntQmlztQtuxNW/c7RSEY58v9vPgCg0lKC6VNf9hgWRuqhxXshUTjx+/HO888/j19//RWDBg3CFVdcAYPBgJdffhkmkwkFBQW44447uH+KwvS0ko6UtLjRppi0Vk+EyivWS4xQaLs0zCuUZVG594O7YOtMOC3fDAD/+te/UFhYWPM6Li4Ojz/+uN//Pxz3WVGS1u6FROHG7yAlJiYGK1euxMqVK7F69WoYDAZUVVXhb3/7G4YNG4b777+/pmeFlMGJm/7R4kabYtJaPREqr3IvbYjmcX53DteLez9cEmydUWqfFKU8/vjjcDgcmDNnDqxWK55++mmkpKT49X/D/eGJErR2LyQKNwEPlE1PT0d6eroUeaEQaXHZYyWE+9MzrdUTb+UVGwGU15of394YiUmd2ZiTQrB1Jtx+a/Hx8Zg0aRLGjBmDuXPn4plnnvH63QMHDuDqq69GdPTFOhvuD0+UoLV7IVG4CWo23x9//IETJ04AANq2beu2Zwoph0NU/BPuT89q15P80gqkNGqg6nrirbxubd0ACdERbnU9yXlB5tyFh2DvLeH6W2vZsiVmzJjh9fOCggIMGjQIrVq1wltvvYXbb7897AI6NeDfTCJ1CyhIWb16NaZOnYpTp07B5bq4A7PBYECrVq0wbdo03HPPPZJkkvzHISr149OzS/VE7pWWguGtvKb3TPRoTMi0qmRYCubeIlR2Wt0nRUyZmZkoKyvD0aNHa0YnXDZmpuB3AwnoOKclcPybSaRefgcpy5cvxxNPPIG0tDS88cYbuOKKKwAAf/31F5YuXYpHH30UlZWVGDFihGSZJRIDn55pC8tLu4TKLiMNAZWd3hrev/32G7Kystzeu+GGG3BHiA9POKeFiPTG7yBl9uzZ6NatG9auXYvY2Fi3z8aNG4c777wTs2fPDihI2b59O9577z389ttvOHPmDD744AOMHj0aAGC325GZmYlNmzbh+PHjMBqN6NOnD15//XW0adPG7zSIhPDpmbawvKRROwBo6IjGzJbir7pVt+wC2URNjw3vli1bYsyYMcjKyoLL5cKVV16JsWPHIjo6tGCcc1qISG/8XgonPz8f6enpHgEKAMTGxuL+++/HqVOnAkrcarWic+fOmDFjBuLi4tw+u3DhAn777TdMmjQJW7Zsweeff45Tp07hvvvuQ1VVVUDpEBEFS6976lQHACtzbdh2thIbiqIxdGOxqs5Pj/tYtGjRAu+99x5++ukn9OrVC2+99VbN5PnqgO6bgc2wsF8yWsf5v2Im57QQkd743ZPSsWNHnDlzxuvnp0+fxlVXXRVQ4v3790f//v0BwGOPlcTERKxevdrtvTlz5uDGG2/EkSNHcPXVVweUFhFRoLw9yb+4s72CGROBtwDg5V1mNIyJUMXwKj03vP/2t79h7dq1Ppfuf/TRRxETE4M33ngDl112mc/jhesiBUSkX373pEybNg1LlizBqlWrPD77v//7PyxduhRvvvmmqJmry2K5+PQsKSlJ0nSIiADvDfnqne21zFsAsPlMRU3vyspcm6K9K3pvePsKULZs2YLVq1djxYoV6N69O+bNm+dzFMGUrka0N7pfl3BbEISI9MVQUlLi8ueL6enpOHbsGHJzc9GsWTO0b98eAHDs2DEUFRXh8ssvR7t27dwPbjBgxYoVfmWkdevWmDVrVs2clLoqKysxePBgNG7cGMuXL/d5rJycHL/SJCLyZXx2A/xa6tkg7pbowP92qVAgR+KZeiQaG4r86yG5o5kdb14lf6ByymbAUwcbIL/80vO0lFgn3r+6Aq3j/PrTpUlVVVUYNWoUjh07VvNep06dsHjxYkREeH+2+Ov5CLzxVzQsVREwRjnx+hV2dGvs9Pp9IiIlpaWl+fzc7+Fef/75JwwGQ83uuadPnwYANGjQACkpKaioqMCRI0fc/o9YO9BXVVXhscceg9lsxhdffFHv9+s76UDk5OSIejxv5FoKVm/pACwjLaSl1TLqcNqEX0ttHu+nNGqAtLS2oqXji69zCmXlq5kt7ThSZyhbgwigQqBNa41MQFpaM1HSDaSM0gCsa28PejJ5qPXB3/MUu97l5+cjPj7e7b333nsPERERXn9HeRY7Zv5WjDMVF8uzzBGJmSdisLpT4IsM6PEepLd7HaC/a8cyYjp1+R2k/P7771Lmw6uqqio88sgjOHToENauXYvkZK5SQkTy8LZHixp2tg915au6ywMnOKyIiG2I9Sc9e4hqD6+Se8UtpVZ2U3JlsZSUFGzZsgWLFy9GZmYm7rzzTtxwww0+RwlwdS8i0pugdpyXi91ux9ixY3H48GGsXbsWLVq0UDpLuqC3fQeIpOJtjxY17GwvRqO0dgCQk1OCmJaJOFxS7HOvjnBpDCt9nlFRUXj00UcxbNgwn9/bunUrKioqcMb+N8HP9bDIABGFp6CDlK1bt2LFihU4e/YsrrzySowfPz7g/UvKysqQm5sLAHA6ncjPz0d2djYaN26Myy67DA8++CD279+PL774AgaDAQUFBQCARo0aeSxZTP45YXXggR362neASEpCT/LVsLO9FCtf+bNxpp5X3KpNLefZpEkTr5/ZbDY8/fTTOH78OFJuHgjcPglIaun2Hb0sMkCeDxgz0qD5VQaJfPEZpMyYMQPz5s3D77//jqZNm9a8v2zZMjz99NNwuS5OXPz++++xYsUK/PDDD2jb1v9x2vv378fgwYNrXk+fPh3Tp0/HyJEj8fLLL2P9+vUAgFtuucXt/9Xe9JECM/uQPSyeghLpnVQrX9U3vErvK25V08J5zp07F8ePHwcA5O/4Fob9W+F6dSOQcHEFTK7upR9Cww/3FBiwZqD4G7ASqYXPIGXr1q249dZb3QKUiooKvPLKK2jUqBGWLl2Kbt264bvvvsOECRPw7rvvYu7cuX4n3qdPH5SUlHj93NdnFJwCm/BKL3p7CqoGHFZHUvI2X0bqRqlS6cpNifMM5J5x/vx5vPfee27vDR8+HM4ulwW1yACpm9Dwwzyriw8YSdd8Bim5ubkYO3as23tbtmyBxWLB1KlT0bdvXwDAsGHD8NNPP+Gnn36SLKMkjhZxEQA8AxU1PR1UgtgBhZKTbik8+DM0S0/pyk3u8wz0ntG4cWOsW7cOEydOxL59+9C8eXPMfOM17iOmU2oZfkgkJ59Byvnz59Gypfv41q1bt8JgMGDAgAFu71933XX48ssvxc8hiWpS52hkl7h0/xQ0EFIEFEpPuqXwoNTKV0qlKzc5zzOYe8b111+PTZs2YcmSJWjSpInXAKWiogJRUVGIjAzvh1FapoXhh0Ri87njfIsWLXDmzBm393bu3In4+Hh07NjR/UAREYiJiRE/hySqtgmRWD2gCdI7xKFPyxikd4gL+6f7vhoHweJTLwpFnsWOcVtMGPRtETJ+KVdsx3eST7D3jMjISIwdOxZDhgzx+p2ZM2fitttuw/79+0PKIylnSlcj2hvdA5LUBENYP2Ak/fPZk9KtWzd88cUXeOyxx5CUlIQ//vgD+/fvxx133OHxRObIkSNo3bq1pJklcYTLU1B/SRFQ8KkXBUuoZy+7pDjsHybonVT3jCNHjuC9996D3W7HrbfeikceeQSvvfYaGjVqFNJxSV5Cww8z0sB7Aumaz56Ul156CWfOnEG3bt1w5513YuDAgTAYDHj22WfdvudyubB27Vr07NlT0swSSUGKxoHQU69wH1ZH/pGiZ4/UT4p7hsvlwqRJk2C322ter1u3DgaDIaS8kjKqHzB+M7AZFvZLRtsEPvQiffMZpFx11VVYs2YNunXrhnPnzqFnz5746quv0L17d7fvbd26FQ0bNsTdd98taWaJpCBF46D6qReH1VGgOFQwPElxz7hw4YLHPivTp0+H0ciHJUSkfvVu5tijRw+sWLHC53f69u2LHTt2iJYpIjlJtYoPh9VRMDhUMHwFe8/wtjphQkICFi9ejB9++AEvvPAC2rVr53PuChGRmgS947yamUXeDlrs4wmx2WySp6HHdKqFWkZJAGZfFwngvw1B5wWPXcX1eO3kTIu/I/9kpF3cpC3P6qp5LzXBgIw0ca/hCasDsw/ZUWBzokVcBB5ubkBzHZWRGGnVvUaTOkcLDrFR8nd0wurAmG3lbvVlT0E5snrH1uT1hhtuwLfffguLxYLS0lLB4/7nP/+ByWRC9+7dNVVGaksHkOdeB+jv2rGMwi+dxMREn5/rMkip76QDUVhYKOrxfGE6wWEZqT8tlpH/uiQCawbaa3r2kqOdmNYzWdShgnkWOx7YUXtyvhO/FjXAuvbxsgxJ1EL9FrpG2SUur0OwlPodzT9gcgtQgIub/M3PARb2u/TdxMREtGjRQvC4TqcTU6ZMwY4dO/DQQw/h+eef99h+QEpa/83WJue9DtDXtZMrHZaRNtIB6pmTQkQUzmovBTxui0m2pYBrT5Cd3z1W9MBBaHJ+fnkEJ+fXopUFDMSYw5SVlVUzZHvx4sX4+9//jlOnTomSPyKiYOmyJ4WIKFS+NvnU+p7enJxfP61co1DnMJWVleH11193e69z585o1apVyHkjIgoFe1KIiASI/SRdqV4ZIZycXz+tXKNQVyds2LAhlixZgssvvxwAEBcXh8zMTC5TrFNqug8R1Yc9KUREAnw/SQ+soeqrVybUoVzeVnbyZUpXI/YWVbrlJyXWyX18ahG6Rmrc60iM1Qn79u2LLzb8hIemzIItxojZBc0xrZ2dS6brjJT3ISIpMEghIhIg5pN0X70yoSxTHWyjQ6hhO7qxiQ2VWgJp/J+wOjD/gCmgQFHsvIZaj+7fYsWxG8cDAI6drEJ2SbFHPfr3v/+Nv/76C88//zxiYmJCzjfJS6r7EJFUGKQQEQnw+STdeSGgY0k1vyGURkfdhm1OTnFIedEjfxr/eRa7xxLAWns67U89OnfuHF588UWYTCZ8/fXXmD9/vsfGzqRuWplnRVSNc1KIiASIuQO4VPMb5Gh0cAy7b5n7LB5LAKtxFTBf/KlHL7/8MkwmEwDg8OHDGDJkSM1r0gatzLMiqsaeFCIiL0IdRlNNqvkNUjc69DKGPZh5O/7Sw9Pp+upRUVERfv75Z7fPXnjhBSQna3+IkJR1Q220Ms+KqBp7UoiIJCZmr0xtoa7sVB+t7BXiS3WgtTLXhm1nK7Ey14ahG4tF6xHS0tNpb71i9dWjZs2aYffu3Rg1ahQAoEuXLnjqqafkzbwEpK4baiPVfYhIKuxJISKSgVi9MnWPGerKTr7ooZdA6snCU7oasafAfU6KGp9O19crVrseJUc7Ma1nsls9aty4MT788EOkp6cjOTkZ0dHCdayqqgpRUdpoWoTjRHIp7kNEUtHGnYSIiARJ2ejQUi+BN1IHWqnGaGT1jsX8HEgSKIqlvgZ57XpkNpuR6CX///M//+MznRdffBHnz5/HO++8g6ZNm4qTeYnoIQgn0jNdBilms1kVpfA0AAAgAElEQVTVxxNis9kkT0OP6VRjGak/LTWW0QmrA7MP2VFgc6JFXAQmdY5G24T6G+DhUkYZacCeAoNbL0FqggEZacGXpxjn42+52Ww2NIkW3pQwOdopWp1sFlGJ2dfFoWb/HOcFSFXdg83zydIKwffzSys8jhlsGW3btg2ffvopAODnn3/Gm2++ibvuusvn/1Hyvtok2in43VDrhhz3OkB/f5P09vcI0N+1EzudxMREn5/rMkip76QDUVhYKOrxfGE6wWEZqT8tNZZRnsWOB3bUHv7iRHaJy+8x2uFQRl0SgTUD7aIPJwvlfAItt2k945FdUuwxWXhaz2SvvQXBUPvvqE0jB3ad82xgpDRqIHjMQNOxWCx4+eWXa14XFxfjn//8J+699140aNDA5/9V6t4gRd2Q814H6O9vktp/R8HQ07WTMx1Ap0EKEVF9wnE8ejDUNoY90HKTet6OVoSyspM/K2CZTCYkJyfj5MmTAACDwYAPPvig3gBFSawbROrGIIWIwhLHo2tD3QZybqnwyku+yk1tgZa/6p776MYGpAV5rGAb5P4uQ52amorvv/8e8+bNw8yZM/HYY4/hxhtvDDK38tFq3SAKBwxSiCgs6WFSuN4JNZATvPzV0lu5CZ37ztgGWNfeHvST/mAa5IH0XEVHR2PSpEm488470a5dO6/HLCkpQVJSUkD5IKLww31SiCgsSb3HiFhOWB1hu+O7UAPZWgUkRLlPhldjuYVK6NzzyyNk36MmmB7Hzp07Iz4+XvCziooKDBw4EA8++CCKiopEySMR6RN7UogoLGlhPHqexY4x29z34NDiju/B8tZA7tw4Cu2MUaotNzGoZTii2D2O77zzDg4fPozDhw9j27ZtmDZtGkaPHh1KFolIpxikEFHYUvt49Mx9FrcABQivyf3eGsjtjFG6Pv88ix0nyoSDEbmHtYUy4b6u/fv3Y86cOTWvi4uL8dNPPzFIEeDPYgVEescghYhIpdTyNF1KvhpjYjaQtaJ6LopQkJIS65T93MXscYyLi0OXLl1w4MABAMBll12GqVOnip1lzfN3sQIivWOQQkSkUnqf3F9fY0wLQ/LEJjQXBQDaNozE/Ktsipy7WD2OHTt2xPfff4/58+djxowZmDt3rqx7LmgFl0cnuohBChGRSk3pasSeAvc5KXrqSfCnMab2IXli89Z7ltowEq3jXIKfaUlUVBSef/55jBgxAq1atfK68/fp06fRqlUrmXOnDuHQg0rkD67uRUSkUqnGaGT1jkV6hzj0aRmD9A5xuhrywcaYJ733nlXzFYDk5uaie/fuyMjIgMUi72pmahAudYCoPgxSiIhUrG1CJBb2S8Y3A5thYb9k3QQoABtjQrSyNLZUHA4Hxo8fD6vViqVLl6J3797YsWOH0tmSVbjXAaJquhzu5a37WC3HE2Kz2SRPQ4/pVGMZqT8tlpF4aZ2wOjD7kB0FNidaxEVgUudotE0IvWEvdxllpAF7Cgxuw9lSEwzISBMnL1qsD0kAlt4cg9mH7Ci0OdH8v+Wb5LyAQoR2XfytN0rW7w8//BB79uypeZ2Xl4c//vgDV199tajpSCnUuuurDtQ+tBbrt686qKUy8pcWy0jOdOqbk6bLIEXMiXiFhYWyTexjOsFhGak/LZaReGnlWex4YEftyeZOZJe4Qh4GpkQZdUkE1gy0SzoxXov1oUsisERgNFQoZRRovVGqft9xxx1YtWoVjh49WvN63LhxMBgM3v57UOlIRazfkbc6UJeW6rc/dVBLZeQvLZWRmtIBONyLiEhTfE0216LqifF6HM6mJlqpN9dffz22bNmC8ePHo2nTppg/f74oAQopTyt1kNSDQQoRkYZwsnn4OmUzYNwWEwZ9W4RxW0zIs9j9/r9aqjdxcXGYMWMG9u7di+bNmwt+x+Vy4fTp0zLnjEKhpTpI6sAghYhIQ7xNNjdG82mznuVZ7HjqYAOszLVh29lKrMy1YejGYr8DFS0uUpCUlOT1s5UrV6Jbt27417/+BZdL+0szhwMt1kFSFoMUIgp7eRZ70E+o5TalqxEpCZ637uziSlXnm0KTuc+C/HL3cg9kqIyeVow6deoUJk2aBJvNhkmTJmHkyJE4d+6c0tmieuipDpI8dDlxnojIX/Xteq42qcZodGkcjXxrhdv7+Rdc3JFax0IdKpNqjMbqAU0kXaRADk6nE08++SRKS0tr3vvxxx9x5swZNG3aVMGcUX30UgdJPgxSiCis+bPrudpYqoSHt3Bst36JMVSmepECLTMYDEhPT8evv/5as9Hj66+/ji5duiicM/KHHuogyYdBChGFNS1O5uTY7vCRZ7m4RHNuqR1xES7YnJfmHoXjUBmDwYDRo0ejV69eGDduHIxGI5544gmls0VEEmCQQkRhTYsN/ildjdhbVOnWAxSODVa98xyKaEBClAGdG0ehnTEqrIfKtGvXDuvXr4fVakVEhPD0WrvdjqioKC5hTKRRnDhPRGFNi5M5q8d2D0xpgGaxEWgWa0CnJD5z0huhoYjWKhfaGaO4pwyA6OhonyuAvfjiixgzZgxMJpOMuSIisTBIIaKwVt3gT+8Qhz4tY5DeIU61k+br+tNchaJyJ4rKXVh/siKgJWlJ/bQ4FFEt1q5di0WLFmHdunXo1asXtm3bpnSWiChAfPRGRGFPi5M5tTjhnwKjxaGIanD69Gk8/fTTNa/PnDmDqVOnYsCAAYiKYrOHSCt0+Ws1m82qPp4Qm80meRp6TKcay0j9abGMxE3rZGmF4Pv5pRVBX2s9lZGcaUmVTkYasKfAgDzrpdXcUhMMyEiTtqy0XkYmkwmpqak4f/48ACAqKgozZ86E1WoVPS0hcvyOAO3XbwA4YXVg9iE7CmxONI124aVrHWibIH0QzjJSRzqJiYk+P9dlkFLfSQeisLBQ1OP5wnSCwzJSf1osI/HTatPIgV3nPP9gpDRqEFTe9FhGcqYlRTpdEoE1A+01+0okOKyY2a+1LEMRtVxGiYmJ2LRpE2bMmIF3330XU6ZMQY8ePXR3rwO0Xb/zLHY8sMN9j6qDZdLvUcUy0kY6gE6DFCIiveMKX+Gh9lDEnJwSTcyVUoPo6GhMnToVgwYNwrXXXouysjKls0R1cMgq1YcT54mIJJJnsWPcFhMGfVuEcVtMok5q1/KEfyK5XH/99YiMFB4+VF5ejuHDh2Pr1q0y54oALgxB9WNPChGRBDz3uAD2Fok7lEGLE/7lkmex47VfylFsr8Rl8ZFhvaeI2lVvWHnmgkPWsnr99dfx3XffYdOmTXj22WcxefJkREezjsiFC0NQfRikEBFJgEMZlCNHgCgGpRrnanLC6vCYlyBHWX333XdYsGABAMDlcmHOnDmIjo7G5MmTJUuT3HHIKtWHw72IiCTAoQzK8RUgqkV1ILUy14ZtZyuxMtcWlvvczD5kV6SsDh486LYTfWpqKp588klJ0yR3dYesDmkTpboHCaQs9qQQEUmAQxmUo4UAMZx72mr3IB02VQl+R+qyeu6559C1a1eMHz8ehYWFWLhwoayrFtFFtYesms1mJDJAoVoYpBARSYBDGZSjhQBRC4GUGOoOaXvoyjg8td3sEaDVJUdZ9evXD9u3b8fWrVvRo0cPydMjosAoOtxr+/btGDFiBDp16oSkpCQsW7bM7fM1a9bgnnvuweWXX46kpCSuwEFEmsHVt/wn9ipoU7oa0d7o3shVW4CohUAqVEJD2oZ/f77eAEXOskpOTsaQIUO8fn706FHMmDEDVVXCPT5EJB1Fe1KsVis6d+6MkSNHYvz48R6fX7hwAT169MDw4cMFPyciUjOuvlU/KSa5VweIr+02wWSPQEsVTkpXqqdNzsn6QkParFUuwe9GGYDGDSJwQ9NozLgxURVlVVFRgUcffRTZ2dn4+eef8cknn+Cyyy5TOltEYUPRIKV///7o378/AGDChAken48YMQIAUFxcLGu+iIhIHr7mZkzpagy6QZ1qjMb87rGqnWdQHUhV7yYvRyAl96pn3oa0CalyAUXlTvxpVk+PRWZmJrKzswEAO3bsQJ8+ffDDDz8gNTVV4ZwRhQfOSSEiIsV4a8get1RpYhnhUMjd0yb3ZH1vQ9p8UcviAaWlpfj3v//t9l737t3Rtm1bhXJEFH64BDERESnGW0O2wOZU/TLCWiP3ZH2huUH+UMPiAY0aNcLPP/+MW265BQDQtm1bfPTRR27LFhORtAwlJSXCA0Rl1rp1a8yaNQujR4/2+Ky4uBiXX345vvnmG/Tp06feY+Xk5EiRRSIiEtkpmwFPHWyA/PJLz8xSYp1IjHThoNWzgdst0YH/7VIhZxZ1Y+qRaGwo8uyFuqOZHW9eJc3+LKdsBvzviSgUVUbgmNUAU1X9z0alzE+gHA4HFi1ahJtvvhmdO3dWOjtEupKWlubzc10O96rvpAORk5Mj6vG8MZvNsoyd1ls6AMtIC2mxjNSfllJllAZgXXu7x9yMzH0WHMy1efz/Dk0aIi3NvyE3eqsPoZbRzJZ2/LG+CPkXLj2bTIk3YGa/1m5D6MQ8nzQAt1x78d/jtpiwUqBMa4syAE93a4G0y+JESb9aKOc0c+ZMn5//5z//QYcOHWAwGGT7HQH6q99a+R0FQm/XTs6/fQCHexERkcKq52Z8M7AZFvZLRqoxWhPLCGtS3eFKMg5f8mf4V5ULWHzUdyCjJsePH8ett96KkSNH4vz580pnh0hXFA1SysrKkJ2djezsbDidTuTn5yM7OxsnT54EAJw/fx7Z2dk4dOgQAODYsWPIzs5GQUGBktkmIiKJcZ8Z8WXusyDf6nR7L9/qlG2eT90ybRYrHCCpYU6KPyoqKvDQQw/BbDZjw4YN6Nu3Lw4ePKh0toh0Q9EgZf/+/ejbty/69u0Lm82G6dOno2/fvnj77bcBAOvXr0ffvn0xePBgAEBGRgb69u2LTz/9VMlsExGRDIR6WCh4atjlvnaZ3tIqVvA7WtnQMjMzEwcOHKh5ffLkSbfXRBQaReek9OnTByUlJV4/Hz16tOBEeiIiIgqM2na5n9LViD0F5cizXpojo6UhfY8++ii2b9+Offv2AQDuuusujBo1KuDjyLnBJpGW6HLiPBEREblTapd7b1KN0cjqHYv5OZBtQ0sxpaamYsOGDZg6dSo2btyIDz74AEVFRQEdQ+4NNom0hEEKERFRGFBil/v6tE2IxMJ+8q0WJLaYmBjMnDkTkydPRmJiYsBBitwbbBJpCYMUIiIKO+E6xEaKXe7D9VrW5mtZ1nXr1mHt2rWYPXs2EhIS3D5TwzwhIrVikEJERGGFQ2zEw2vp2/Hjx/HEE0+gtLQUBw4cwOLFi3HVVVfVfK62eUJEasJ9UoiIKKz4GmKjR3kWO8ZtMWHQt0UYt8WEPIt4u7mH27UMRPUSxaWlpQCAw4cPo3///m4LBmlhP6ATVodk9YfIF/akEBGpAIfMyCechthI3dMRTtcyUIWFhbDZ3DemfPHFF5GUlFTzWo3zhGrLs9gxZpv7CmzsKSO5sCeFiEhh1Q3Jlbk2bDtbiZW5NgzdWMwnlhIJpyE2Uvd0hNO1DFSbNm3www8/YPjw4QCAQYMGYcKECR7fU/N+QJn7LG4BCsCeMpKPLntSzGazqo8npO7TFqYTGJaR+tNiGXn32i/lgg3J13abMPMal5f/JT49lZGvtDLSgD0FBrfGV2qCARlpwV0DNf+OckzCefvLZPN6rEDOJ9RrqdXfrC91z3vWrFm48cYbcdttt9UM/RKDHOd0srRC8P380grR7xdq/h0FS2/1W+x0fC04Aeg0SKnvpANRWFgo6vF8YTrBYRmpPy2WkW/F9krB9032CMTFxbCMRE6rSyKwZqBd1CE2ai0jU5UNgOfQq+KqSJ/H8jcdMa6lnuqdtzIaO3asz/+3fv163H777YiODqwOSn1ObRo5sOucZ8M0pVEDSdJW6+8oFHqq33KmA+g0SCEi0hIOmamf2HN2pFiKV42ax0XgRJlnkNIiTrzR3uFyLaXyzTff4B//+Ad69OiBTz/9FCkpKUpnqcaUrkbsKXCfk6K2if2kX5yTQkSkMC2s8KMkztkJXnuj8LPIdl7eJ3kdO3YMTz75JABgz5496Nu3L7Zs2aJwri5JNUYjq3cs0jvEoU/LGKR3iOOkeZIN71JERArztcKPTEOnVY27cgdvSlcj9hZVul0/BsDq8eqrr7rNU7FYLIiPj1cwR57aJkRiYT/5hvgQVWOQQkSkAhwy4x2XuQ2e2pe4DXfvv/8+xo8fj++++w4AMG3aNHTv3l3hXBGpA4MUIiJSNbXP2TlhdWD+AZNq97hhAKxeycnJWL58OebNm4fs7GyMHz9e6SwRqQaDFCIiUjU1D1niZncUqoiICDz33HNwuVwwGAyC33E6nTAYDF4/J9IjTpwnIiJVqx6ypMbJu9zsjsTiKwB588038fjjj+PChQsy5ohIWexJISIi1VPrkCXOlyGpff3115gzZw4A4NChQ8jKykK7du2UzRSRDNiTQkREFCS1z5chbTty5EjNEsUA8Mcff2DkyJFwOp0K5opIHgxSiIiIgjSlqxGpCe7DdNQyX4a0Lyoqym1zx+joaMydOxcREWy+kf6xlhMREeHiJPhxW0wY9G0Rxm0x+bVZJDe7Iyldfvnl2LRpE4YMGQIAmDFjBnr27KlwrvwTzO+JqDZdzkkxi7z7mdjHE2Kz2SRPQ4/pVGMZqT8tlpH606qvjE5YHZh9yI4CmxMt4iIwqXM02iYENqxJrdfuhNXhsUrXnoJyZPWOrfccm0VUYvZ1cQD++z3nBck24dTL76i6Lp2xVuGyhPKg6lIg1PQ7Csa8efMwdOhQ/M///E/N8dV8vwvm96T1MhKi5jJSQzqJib43CdVlkFLfSQeisLBQ1OP5wnSCwzJSf1osI/WnVV8Z5VnseGBHca1lgJ3ILnEF1Wugxms3/4DJY5WuPKsL83Pg127baigjMUmZjkddMlUFXZcCofUyGjZsmMd71Wk5HA7s3btXsl6WQM8p2N+T1stIiB5+s0qkA3C4FxER+SFzn8VtnxJAnUvt1h5ikvFLud9DTNS8Slf1OY3PbqCLYTNaqUtaMm3aNNxxxx2YPXs2XC5X/f9BYmr+PZF26LInhYiIxKWFRkeexY6hG4vdGsDZJcV+PaFXapWuPIsdmfssXnerdz+nSPxaatP8ZpFaqEtasnLlSsybNw8AkJmZid9//x0ffPABGjZsqFieuOodiYE9KUREVC8tNDpCeUI/pasR7Y3u5yL1Kl3VAcjKXBu2na3Eylwbhm4sdusp0WOvgxbqklacP38ezz33nNt7e/bsQVlZmUI5ukiJ3xPpD4MUIiKqlxYaHaE8oVdiV3t/AhA99jpooS5pRePGjbFs2TI0btwYABATE4PPPvsMLVu2VDRfSvyeSH843IuIiOpV3ejI3GfB2QsOtBQYmqS0UJ/Qy72rvT8BiB57HWrXpfzSCqQ0aqC6uqQl/fr1w+bNmzF69Gg8+eSTuOGGG5TOEgD5f0+kPwxSiIjIL2pvdEzpasTeokq33gk1P6H3JwDR2jn5q7oumc1mWVcL0qt27dph8+bNiImJUTorRKLhcC8iItKFukNMhrSJUvUQE3+GPdU+p26JDg6bIa98BSh2ux2vvPIKzpw5I2OOiELDnhQiItKN2r09ZrMZiSpuzPs7hK76nHJyipGW1lah3JKWTZkyBQsWLMCqVauQlZWlmiFhRL4wSCEiIlKI2ofQkfZlZWVhwYIFAICzZ8/izjvvRFZWFvr3769wzoh843AvIiIiIh1yuVxYv36923vNmzfH9ddfr1COiPzHIIWIiIhIhwwGAz777DNkZGQAAOLi4pCVlYVmzZopnDOi+ulyuJfZbFb18YTYbDbJ09BjOtVYRupPi2Wk/rT0VEZypsUyUn9aeisjILBzmjhxIi6//HJERkaiffv2AeWRZRQ8vV07sdOpb2U/XQYpYi5nWFhYKNvyiEwnOCwj9afFMlJ/WnosIznTYhmpPy29lREQ2Dk9+OCDPj+32+2IjhZeaIJlFDw9XTs50wE43IuIiIgorFVWVuLuu+9GZmYmnE6n0tkhAqDTnhQiItKHPIsdmfssOHPBgctUuMs96Vc41b2XXnoJO3fuxM6dO3H48GEsWLAADRs2VDpbFOYYpBARkSrlWewYurHYbbf1vUWV3MyQJBdOde/TTz/FokWLal6vW7cOU6dOxZw5cxTMFRGHexERkUpl7rO4NRIB4JjFgcx9FoVyROEinOpep06d3Fb7Sk1NxZQpUxTMEdFFDFKIiEiVzlxwCL5/1sv7RGIJp7p300034ccff8Q111wDo9GI5cuXo0mTJkpni4jDvYiISJ0ui48UfL+ll/eJxBJuda9NmzbYsGED/vzzT3Tq1Enp7BABYE8KERGp1JSuRrQ3ujcK2xsvTmAmklI41r2GDRvihhtu8Pr5uXPnYLHob7gbqRd7UoiISJVSjdFYPaAJMvdZcPaCAy11vsISEF4rSqlZONY9X8rLyzFq1CiUlZVh+fLlaNu2rdJZojDAIIWIiFQr1RiNhf2Slc6GLMJpRSktUHvdO2F1YP4Bk+QBrcvlwjPPPIM9e/YAAG677TZ88cUX6Natm+hpEdXG4V5EREQqEE4rSlFo8ix2jNlWjpW5Nmw7W4mVuTYM3ViMPItd9LRWrFiBL7/8suZ1YWEhZs6cKXo6RHUxSCEiIlKBcFpRikKTuc+CPKvL7T2pAtq7774bd999d83rK664AgsWLBA9HaK6GKQQERGpQLitKEXBkzOgjYuLw+LFi/Hcc88hOTkZK1asQOPGjUVPh6guXc5JMZvNqj6eEJvNJnkaekynGstI/WmxjNSflp7KSM60xEonIw3YU2Bwe0KemmBARtqlsmEZqTsdQJ4yahLtFHw/OdopevrV1+7ZZ5/FmDFj0KRJE0nOUW9lBOivfoudTmJios/PdRmk1HfSgSgsLBT1eL4wneCwjNSfFstI/WnpsYzkTEuMdLokAmsG2r2uKMUyUn86cpXRtJ7xOGAqcgto2xsjMa1nMhIlmDxffU6+zq2goABlZWW4/PLLQ05HSnL+jgB91W850wF0GqQQERFpkdpXlCJ1SDVGI6t3LObnQBVLJF+4cAEjR47EsWPHkJWVhV69eimSD9IXBilEREREGtM2IRIL+8n3VNsbp9OJ8ePHY9++fQCAoUOHYv78+Rg5cqTCOSOt48R5IiIiIgrK119/jTVr1tS8ttvt+Oqrr+ByuXz8L6L6MUghIiIioqAMHToUkydPrnnduXNnfPLJJzAYDArmivSAQQoRERERBcVgMODFF1/EJ598gjZt2mD58uVo1KiR0tkiL/IsdozbYsKgb4swbotJkg1AxcI5KUREREQUknvvvReDBg1CgwYNlM4KeZFnsWPoxmIcs1zaT2dvUSVWD2ii2KILvijak7J9+3aMGDECnTp1QlJSEpYtW+b2ucvlwvTp09GxY0e0bNkSd911Fw4fPqxQbomIiIjIG18BSn5+PjZv3ixjbqiuzH0WtwAFAI5ZHMjcZ1EoR74pGqRYrVZ07twZM2bMQFxcnMfn8+bNwwcffICZM2fixx9/RLNmzTBs2DBYLOq8mERERETkzmKx4P7778d9992HTz75ROnshK0zFxyC75/18r7SFA1S+vfvj9deew1DhgxBRIR7VlwuFz766CM8++yzGDJkCDp37oyPPvoIZWVl+Pe//61QjomIiIjIX1VVVXjkkUdw8OBBOBwOTJw4Ea+88gocDnU2jPXssvhIwfdbenlfaaqdOJ+Xl4eCggLceuutNe/FxcXh5ptvxu7duxXMGRERERH5Y+fOndi0aZPbeydPnuTqXwqY0tWI9kb3gKS98eJGoGqk2iCloKAAANCsWTO395s1a4bCwkIlskREREREAejTpw+WLVuGhIQEAMB1112HBQsWeIygIemlGqOxekATpHeIQ5+WMUjvEKfaSfMAYCgpKVHFbjutW7fGrFmzMHr0aADA7t27MWDAAPz+++9o06ZNzfeefPJJnDlzBl999ZXXY+Xk5EieXyIiIiLyz5EjRzBz5kzMnDnT4wE0hae0tDSfn6t2CeIWLVoAAIqKityClKKiIjRv3tzn/63vpAORk5Mj6vG8MZvNSExMZDpBYBmpPy2WkfrT0lsZyZkWy0j9aemtjADtXbu0tDTcddddXod5sYzESyfPYkfmPgvOXHDgsviLw7nE6C2R894AqHi4V2pqKlq0aOG2XF15eTl27tyJnj17KpgzIiIiIgqUr3koRUVF2LBhg4y50aftZ2y4eXUhVubasO1sJVbm2jB0Y7GqN230RtEgpaysDNnZ2cjOzobT6UR+fj6ys7NrJlQ98cQTmDdvHtasWYNDhw5hwoQJSEhIwH333adktomIiIhIJCUlJXjggQcwatQofPbZZ0pnR7PyLHYM//48rFXu76t5LxRfFB3utX//fgwePLjm9fTp0zF9+nSMHDkSH330EZ555hnYbDa88MILKCkpQbdu3fDVV1/BaFTnKgRERERE5D+r1Yr7778fhw4dAgA8/fTTsFgsmDBhgsI5057MfRZYq4Snmqt1LxRfFA1S+vTpg5KSEq+fGwwGvPLKK3jllVdkzBURERERyWH37t3Yu3ev23s//vgjHn/8cURGqnP/DrXytlkjoN69UHxR7ZwUIiIiItK3W2+9FUuWLEFMTAwA4KabbsLSpUsZoATB22aNCVFQ7V4ovjBIISIiIiLFDBo0CIsWLcJNN92E5cuXIz4+XuksaZLQZo0JUQasuC1ZtXuh+KLaJYiJiIiIKDz07t0bd955J3eiD0H1Zo2Z+yw4e8GBliIuP6wEBilEREREpDhfAUpBQQEaNmxYs3M9CUs1RmNhv2SlsyEKBilERERU44TVgfkHTKJvBEcULJPJhCFDhgonC24AACAASURBVKBRo0ZYsWIFkpKSlM4SyYBBChEREQG4uM/CmG3lyLNeWsZ0b1ElVg9owkCFFFFaWop7770Xf/75JwDgrrvuwqpVq9C8eXOFc0ZS48R5IiIiAnBxn4XaAQqg3Y3gSB/efPNN7N+/v+b1wYMHMXv2bAVzRHLRZU+K2WxW9fGE2Gw2ydPQYzrVWEbqT4tlpP609FRGcqalpzI6WVoh+H5+aYUkabOMgqe3a+ctnYyMDPz222/Ys2cPAODmm2/GxIkTQ7rOLCN1pJOYmOjzc10GKfWddCAKCwtFPZ4vTCc4LCP1p8UyUn9aeiwjOdPSSxm1aeTArnOeDZGURg0kS5tlFDw9XTtv6SQmJmL16tV48MEHcf78eXz55ZcwGoPf84NlpI10AJ0GKURERBS4KV2N2FPgPielvTFSkxvBkX7Ex8dj2bJluHDhQkgBCmkLgxQiIiICcHH50qzesZifA13ss0D6ERMTU7MrvZCqqipERbFZqyecOE9EREQ12iZEYmG/ZHwzsBkW9tPmTtUUXgoLC9GnTx+sXr1a6ayQiBikEBEREZEmlZSU4J577sHhw4cxduxYLF26VOkskUgYpBARERGR5jgcDowYMQJ//PEHAMDpdCIjIwMbNmxQOGckBgYpRERERKQ5kZGRePjhhxEZGVnz3u23345bb71VwVyRWBikEBEREZEm3X///Vi6dCliYmJw0003YcmSJT4n2JN2cBkEIiIiItKsu+66C2vWrEGnTp0QHx+vdHZIJAxSiIiISFZ5Fjsy91lwsrQCbRo5uMwxhezGG29UOgskMg73IiIiItnkWewYurEYK3Nt2HXOiZW5NgzdWIw8i13prJFOnT59GhMmTEBZWZnSWaEAMEghIiIi2WTus+CYxeH23jGLA5n7LArliPSsuLgYw4YNw+eff46hQ4fCbDYrnSXyky6He4ldAeWo0DabTfI09JhONZaR+tNiGak/LT2VkZxpsYwCc7K0QvD9/NIKyc5Pb2UE6K9+S5GOxWLByJH/v737j6v57v8H/qjTSU2pleqMRJQfGUW7lAzDJVroF4Vc8qswZvjIjzE2TMU1M64uTIbhmh+RWjY/rnFZZTSjzcyaNErFIWqVqE7n+4er83VWUq4673fvHvfbze2283q/z/v5fL+fi/Ps9Xq/zzikp6cDAC5cuIDp06cjNjYWFhYWDR7vz5rytdNFHDMzs1q3S7JJed5J14dSqWzQ49WGcV4MayT+WKyR+GNJsUa6jMUa1V27Viqcu1f9w45tqxaNGldqNQKk9f93Y8SpqKjQejwxANja2qJdu3YwMNDNR+Cmeu2EjgNwuRcRERHp0LLeprA31f7gaG8qw7LepgJlRFJlaWmJhIQEeHh4AAAGDhyIDz/8UGcNCv1v2KQQERGRzrQ3lePIMEuM6WiMvq31MaajMY4Ms+TTvahRtGrVCocOHcLcuXOxd+9etGjRQuiUqI7YShIREZFOtTeVY9tACxQWFup0+Qg1T8bGxnj//feFToPqiTMpRERERNRsZWVl4dSpU0KnQX/CJoWIiIiImiWlUglfX18EBgbi8OHDQqdDT2GTQkRERETNTkFBAfz8/JCZmYmKigpMnToVu3btEjot+i82KURERETN2M2icoSeuY8RX99F6Jn7uFlULnRKOnHmzBn88ssvmtdqtRpnzpyBWq0WMCuqwiaFiIiIqJm6WVQO3+P5OJhZiuTbZTiYWQrf4/nNolHx8fHB1q1bNd+lMnToUGzZsgV6enoCZ0YAmxQiIiKiZmv1xSL8XqTSGvu9SIXVF4sEyki3AgMDsWfPHgwePBi7du2CoaGh0CnRf/ERxERERETNVN5DVY3jt58xLkVeXl4YPnw4Z1BEhjMpRERERM3UKy/JahxXPGNcqmprULKzs/Ho0SMdZkMAmxQiIiKiZmtZb1PYm2o3JPamMizrbSpQRuKSm5sLb29vjBkzBkVFzWMJnFhIcrlXYWGhqI9Xk9LS0kaPIcU4VVgj8cdijcQfS0o10mUs1kj8saRWI6DhzskcwOcehvj7L+VQllbC2lgfC5zkMK98iMLC5l2j+/fvY8yYMcjKykJWVhZGjhyJXbt2wdzcvE7vl9q1a+g4ZmZmtW6XZJPyvJOuD6VS2aDHqw3jvBjWSPyxWCPxx5JijXQZizUSfyyp1QhouHPqYQbsatP4cZ5HbDUKDw9HRkaG5nVaWhr27NmDpUuX1jmelK6dLuMAXO5FRERERFRNZGQkevXqpXnt7e2NRYsWCZhR8yLJmRQiIiIiov+FhYUF4uPjMX78eMhkMmzfvh0GBvzorCu80kRERERENWjVqhUOHjwIlUoFIyMjodNpVtikEBERERE9g7Gxca3by8vLIZfLdZRN88F7UoiIiIiIXkBWVhbc3d1x/PhxoVORHDYpRERERET1pFQq4evri+vXryM4OBixsbFCpyQpbFKIiIiIiOqhrKwM/v7+yMzMBABUVFQgNDQUycnJAmcmHWxSiIiIiIjqwdDQEFOnToWenp5mzM/PD3379hUwK2lhk0JEREREVE+TJ0/Gtm3bYGBgAE9PT2zZsgUymUzotCSDT/ciIiIiInoBo0ePRps2beDi4gJDQ0Oh05EUNilERERERC/Iw8ND6BQkSZJNSmFhoaiPV5PS0tJGjyHFOFVYI/HHYo3EH0tKNdJlLNZI/LGkViNAetdOqjW6ceMGoqOjsWrVqkb7MsimWiMzM7Nat0uySXneSdeHUqls0OPVhnFeDGsk/liskfhjSbFGuozFGok/ltRqBEjr2ukqji5rlJeXhwkTJiA7Oxu5ubn44osvYGpq2iixpFSjKrxxnoiIiIioAd27dw/BwcHIzs4GACQnJ2PUqFH4448/BM6s6WCTQkRERETUgCoqKmBgoL1gqWvXrjAxMREoo6aHTQoRERERUQNSKBQ4cOAAXF1dAQAjRozApk2boK/Pj951xStFRERERNTAzM3NceTIEcyfPx8xMTHVZlaodrxaRERERESNwNTUFMuXLxc6jSaJMylERERERAL47bffkJycLHQaosQmhYiIiIhIx27evAlfX18EBATg66+/Fjod0RF9k1JUVITFixfj1VdfhUKhgKenJy5evCh0WkREREREL+TOnTvw8/NDbm4uHj9+jAkTJuDgwYNCpyUqom9S5syZg1OnTmHz5s04e/YsBg0aBF9fX+Tm5gqdGhERERFRvf373/9GZmam5rVKpcJ3330nYEbiI+ompbS0FAkJCVixYgX69++Pjh07YsmSJbC3t8dnn30mdHpERERERPUWHByMTz75BHp6egCAgIAArFu3TuCsxEXUT/eqqKiASqWCkZGR1rixsTG7TSIiIiJqskJCQmBqaopDhw5hy5YtkMlkQqckKnoFBQVqoZOojaenJ2QyGbZv3w4bGxvExsZi5syZ6NixIy5cuFDje65du6bjLImIiIiI6k+tVmtmVJoTR0fHWreLvkn5/fffMWvWLJw9exYymQzOzs5wcHBAWloaUlNTGz3+tWvXnnsRG0JhYSHMzMwY5wWwRuKPxRqJP5bUaqTLWKyR+GNJrUaA9K4da1SzGzduoG3btpDL5Y0apy50+XcDIPJ7UgDA3t4eX331FXJycnDlyhWcOnUK5eXl6NChg9CpERERERE1iszMTHh6emLChAkoLS0VOh2dE32TUqVly5ZQKBQoKCjAN998gzfffFPolIiIiIiIGlxOTg58fHygVCpx/PhxBAQE4I8//hA6LZ0SfZPyzTff4OTJk7hx4wZOnz6NESNGoHPnzggODhY6NSIiIiKiBjd//nxkZ2drXp89exa7du0SMCPdE32T8scffyA8PBx9+vTBjBkz0LdvXxw6dKjWtXlERERERE3Vxo0b4eTkpHk9btw4zJo1S8CMdE/UjyAGAD8/P/j5+QmdBhERERGRTtjY2ODo0aMIDAyEQqHApk2boK8v+rmFBiX6JoWIiIiIqLl5+eWXERcXB7lcDgOD5veRvfmdMRERERFRE2BiYlLr9rKyMh1lonvNa96IiIiIiEgCfv31V7z22mtISUkROpVGwSaFiIiIiKgJuXnzJvz9/ZGVlYXJkyfj6NGjQqfU4NikEBERERE1EcXFxfD19UVubi4A4PHjx5g4cSLS0tIEzqxhsUkhIiIiImoiTExMMGXKFK2xv/3tb3B2dhYoo8YhyRvnCwsLRX28mpSWljZ6DCnGqcIaiT8WayT+WFKqkS5jsUbijyW1GgHSu3asUf1MnDgRcrkcS5YsgZeXF5YvX97o30jf0OdjZmZW63ZJNinPO+n6UCqVDXq82jDOi2GNxB+LNRJ/LCnWSJexWCPxx5JajQBpXTtdxZFSjWbMmIHu3bujW7dusLCwaLQ4T9PlteNyLyIiIiKiJqh///6Qy+VCp9Eo2KQQEREREUnMzz//jPnz56OiokLoVF6IJJd7ERERERE1V5mZmfD394dSqURxcTE2b94MmUwmdFr1wpkUIiIiIiKJyMnJgY+PD5RKJQDgwIEDeOutt6BSqQTOrH7YpBARERERSURFRQXUarXWmFwuh56enkAZvRg2KUREREREEtG+fXskJibC1tYWwJPHFW/cuBH6+k3rYz/vSSEiIiIikpAOHTrgyy+/xJ49e7B06dIm16AAbFKIiIiIiCTH3t4e7733ntBpvLCm11YREREREZGksUkhIiIiIiJRYZNCRERERESiIsl7UgoLC0V9vJqUlpY2egwpxqnCGok/Fmsk/lhSqpEuY7FG4o8ltRoB0rt2rFHzi2NmZlbrdkk2Kc876fpQKpUNerzaMM6LYY3EH4s1En8sKdZIl7FYI/HHklqNAGldO13FYY2aRhyAy72IiIiIiEhk2KQQEREREZGosEkhIiIiIiJRYZNCRERERESiwiaFiIiIiIhEhU0KERERERGJCpsUIiIiIiISFTYpREREREQkKmxSiIiIiIhIVNikEBERERGRqLBJISIiIiIiUWGTQkREREREomIgdAKNobCwUNTHq0lpaWmjx5BinCqskfhjsUbijyWlGukyFmsk/lhSqxEgvWvHGjW/OGZmZrVul2ST8ryTrg+lUtmgx6sN47wY1kj8sVgj8ceSYo10GYs1En8sqdUIkNa101Uc1qhpxAG43IuIiIiIiESGTQoREREREYkKmxQiIiIiIhIVNilERERERCQqbFKIiIiIiEhU2KQQEREREZGosEkhIiIiIiJRYZNCRERERESioldQUKAWOgkiIiIiIqIqnEkhIiIiIiJRYZNCRERERESiwiaFiIiIiIhEhU0KERERERGJCpsUIiIiIiISFTYpzxATE4OePXvCxsYGAwcOxNmzZ4VOqdlav349Bg0ahHbt2qFTp04ICgrCL7/8orWPWq1GREQEunbtCoVCAW9vb1y9elWgjGn9+vUwNzdHeHi4Zow1Et7t27cxY8YMdOrUCTY2NnBzc0NycrJmO2skLJVKhdWrV2v+7enZsydWr16NiooKzT6ske6lpKRg7Nix6NatG8zNzbF3716t7XWpSUFBAcLCwmBnZwc7OzuEhYWhoKBAl6chabXVqLy8HCtWrICHhwfatGmDLl26YNq0acjOztY6xuPHjxEeHo6OHTuiTZs2GDt2LHJycnR9KvQUNik1OHz4MBYvXoz/+7//w7fffos+ffpgzJgx1f6HJt1ITk7G1KlTcfz4cSQkJMDAwAC+vr548OCBZp9PPvkE0dHRiIqKwqlTp2BlZQU/Pz8UFRUJmHnz9P3332Pnzp3o3r271jhrJKyCggIMGzYMarUaBw4cwPnz57F27VpYWVlp9mGNhLVhwwbExMQgKioKqampiIyMxLZt27B+/XrNPqyR7pWUlMDJyQmRkZEwNjautr0uNZk2bRp++uknxMbGIjY2Fj/99BOmT5+uy9OQtNpq9PDhQ/z4449YsGABzpw5g3/961/IycnB6NGjtX4BsGTJEnz55ZfYvn07vvrqKxQVFSEoKAgqlUrXp0P/xe9JqcGQIUPQvXt3bNy4UTPWu3dv+Pj4YMWKFQJmRgBQXFwMOzs77N27F15eXlCr1ejatStCQ0OxYMECAEBpaSkcHR2xatUqTJ48WeCMm4/CwkIMHDgQGzduRFRUFJycnLBu3TrWSARWrlyJlJQUHD9+vMbtrJHwgoKC8PLLL2PLli2asRkzZuDBgwfYv38/ayQCbdu2xdq1axEcHAygbj836enpcHNzw7Fjx+Du7g4A+O677+Dl5YXvv/8ejo6Ogp2PFP25RjX59ddf4e7ujpSUFHTv3h2FhYVwcHBAdHQ0AgMDAQC3bt1Cjx49EBsbiyFDhugqfXoKZ1L+pKysDGlpaRg8eLDW+ODBg3H+/HmBsqKnFRcXo7KyEubm5gCAmzdv4s6dO1o1MzY2hoeHB2umY3PnzoWPjw8GDBigNc4aCe/o0aNwdXXF5MmT4eDggNdffx2ffvop1Oonv6dijYTn7u6O5ORk/PbbbwCefJBKSkrC0KFDAbBGYlSXmqSmpsLExARubm6afdzd3dGyZUvWTSBVs1xVnyPS0tJQXl6uVUdbW1t06dKFNRKQgdAJiE1+fj5UKpXWEggAsLKyglKpFCgretrixYvRo0cP9OnTBwBw584dAKixZnl5eTrPr7natWsXMjMz8emnn1bbxhoJ78aNG9i+fTveeustzJ07F5cvX8aiRYsAAGFhYayRCMydOxfFxcVwc3ODTCZDRUUFFixYgGnTpgHgz5EY1aUmSqUSlpaW0NPT02zX09ND69at+blCAGVlZVi2bBmGDx+Otm3bAnhSI5lMBktLS619+dlPWGxSqEl59913ce7cORw7dgwymUzodOi/rl27hpUrV+LYsWOQy+VCp0M1qKysRK9evTRLVp2dnZGZmYmYmBiEhYUJnB0BT+6H3LdvH2JiYtC1a1dcvnwZixcvhp2dHSZOnCh0ekRNXkVFBcLCwlBYWIgvvvhC6HToObjc608sLS0hk8lw9+5drfG7d+/C2tpaoKwIeHJT26FDh5CQkIAOHTpoxm1sbACANRNQamoq8vPz4e7uDktLS1haWiIlJQUxMTGwtLSEhYUFANZISDY2NujSpYvWWOfOnXHr1i3NdoA1EtLy5csxe/ZsBAQEoHv37hg7dixmzZqFjz/+GABrJEZ1qYm1tTXy8/M1SyuBJ/ey3Lt3j3XToYqKCkydOhVXrlxBfHy85t8l4EmNVCoV8vPztd7Dny1hsUn5E0NDQ7i4uOD06dNa46dPn9ZaT0q6tWjRIk2D0rlzZ61t7du3h42NjVbNHj16hO+++4410xFvb2+cPXsWSUlJmj+9evVCQEAAkpKS4ODgwBoJzN3dHRkZGVpjGRkZaNeuHQD+HInBw4cPq80Qy2QyVFZWAmCNxKguNenTpw+Ki4uRmpqq2Sc1NRUlJSWsm46Ul5dj8uTJuHLlCr788ktNc1nFxcUFcrlcq445OTmahx6QMGSLFy9+X+gkxMbU1BQRERFQKBQwMjLCunXrcPbsWfzjH/+AmZmZ0Ok1OwsWLMC+ffuwc+dO2NraoqSkBCUlJQCeNJV6enpQqVTYsGEDOnXqBJVKhaVLl+LOnTvYsGEDWrRoIfAZSJ+RkRGsrKy0/hw8eBB2dnYIDg5mjUTA1tYWUVFR0NfXh0KhwJkzZ7B69WrMmzcPrq6urJEIpKenY//+/XBwcIBcLkdSUhJWrVoFf39/DBkyhDUSSHFxMX799VfcuXMHu3fvhpOTE1q1aoWysjKYmZk9tyatW7fGhQsXEBsbix49eiAnJwfz5s1D7969+RjiBlJbjVq2bImQkBBcvHgRn3/+OUxNTTWfI2QyGeRyOYyMjHD79m3ExMRonvY1b948tGrVCh988AH09fk7fSHwEcTPEBMTg08++QR37txBt27dsGbNGvTr10/otJqlqqdv/NmiRYuwZMkSAE+mziMjI7Fz504UFBTA1dUVf//73+Hk5KTLVOkp3t7emkcQA6yRGBw/fhwrV65ERkYGbG1tERoaiunTp2tu6GWNhFVUVIQPP/wQiYmJuHfvHmxsbBAQEICFCxfCyMgIAGskhKSkJIwcObLa+Lhx47B58+Y61aSgoAALFy7E119/DQDw8vLC2rVrn/nvG9VPbTVavHgxnJ2da3xfdHS05lHFjx8/xrJlyxAbG4tHjx5hwIAB+Oijj2Bra9uoudOzsUkhIiIiIiJR4fwVERERERGJCpsUIiIiIiISFTYpREREREQkKmxSiIiIiIhIVNikEBERERGRqLBJISIiIiIiUWGTQkRE1SQlJcHc3BxJSUkNetySkhJ07twZn3/+udb4jz/+CC8vL7Rt2xbm5ub46aefGjSuUCIiIqp9F4a3tze8vb1f6HiDBg3C8uXLGyI1IiJRY5NCRCQi9+7dw8qVK+Hh4QFbW1vY2NjA2dkZ06dPx7fffit0ev+zLVu2QC6XY+zYsZqxyspKTJkyBbdv38bq1auxdetW2NnZNXjshw8fIiIi4rmNV7du3RAVFdXg8RvCvHnzEBMTgzt37gidChFRo2KTQkQkEpcuXULfvn0RHR2Nnj17YsWKFVi3bh3GjBmDy5cvY9SoUTh58qTQab6w8vJybN68GcHBwTA0NNSM5+Xl4fr16wgLC8PkyZMRFBTUKN/EXVpaiqioKCQnJz9znx9//BF5eXkYNmxYg8QMDw/H7du3G+RYADBixAiYmppi27ZtDXZMIiIxMhA6ASIiAgoKChAcHAx9fX0kJSWhc+fOWtuXLVuGhIQEtGzZstbjlJSUPHcfoRw7dgz37t2Dn5+f1vjdu3cBAK1atRIiLS0nTpyAQqGAs7NzgxzPwMAABgYN90+tvr4+Ro0ahX379uHdd9+Fvj5/10hE0sS/3YiIRGDHjh3Izc1FREREtQalyqhRo+Dh4aF5XXW/wy+//IKwsDB06NABffv2BQBkZWVhwYIF6NOnD1555RXY2dkhKCgIV65cqXbcnJwcjB8/Hm3atIGDgwOWLFmCsrKyGnO4ePEixowZAzs7OygUCgwfPrzOy9COHj0KhUKBbt26acZmzpyJN954AwAwa9YsmJuba92vkZGRgUmTJsHe3h42Njbo378/4uPjqx27sLAQ7777Ll599VVYWVnB2dkZa9euhUqlAgDcvHkTnTp1AgBERUXB3Nwc5ubmmDlzptZxTpw4gaFDh0JPTw8A0KNHDwQEBCApKQlvvPEGFAoF+vbtizNnzgAAEhMT4eHhARsbGwwYMABpaWlax6vpnpSaqNVqbN26VXMsBwcHzJ49G/n5+dX2HTRoEG7dulUtFhGRlHAmhYhIBI4dOwZjY2OMHDmy3u+dMmUK2rdvj2XLlmmai0uXLuHs2bMYNWoU2rVrh7y8POzcuRPe3t44d+4cFAoFgCdLoHx8fHDr1i1Mnz4dCoUCBw8erLHxSE5ORkBAAHr06IHw8HDI5XLs378f/v7+iIuLQ//+/WvNMzU1FS4uLlpjkydPhr29PdasWYNJkyahb9++sLa2BgCkp6fD09MTNjY2eOedd9CyZUskJiYiJCQEW7duRVBQkOYcRo4ciaysLEyZMgV2dnb44YcfEBkZiezsbGzatAmtW7fG+vXrMX/+fIwYMUJzne3t7TW55Ofn44cffsCcOXO0crxx4wamTZuGkJAQBAUFYdOmTRg/fjw2bNiADz74AFOnToW+vj4++ugjhISE4OLFi5DJZPUpIebPn4/du3dj3LhxCA0NRU5ODj799FNcvHgRp06dgpGRkWbfqmt47tw59O7du15xiIiaCjYpREQikJ6eDgcHB8jlcq3xoqIirVmNFi1awMTERGsfR0dH7N69W2vM09MTPj4+WmNjx46Fm5sbdu/ejfDwcADAzp07kZGRgR07dmiWYU2aNAkDBgzQeq9arca8efPg7u6OI0eOaGYapkyZggEDBmDVqlU4ceLEM8+voqICv//+Ozw9PbXG+/TpA7lcjjVr1uAvf/mLpvEAgMWLF+OVV17B6dOnYWxsDAAIDQ2Fn58fPvjgAwQGBkJPTw///Oc/ce3aNZw5c0YzCzVp0iS0b98eq1evxpw5c+Do6AgfHx/Mnz8f3bt314pT5eTJkzAwMMCgQYO0xq9fv46vvvpKM4vVpUsX+Pv7Y/bs2Th//jw6dOgAADAzM8PcuXM1sy51df78eezYsQObN2/GuHHjNONDhgyBl5cX9u3bh0mTJmnG27RpA0NDQ6Snp9c5BhFRU8PlXkREIlBUVFSt+QCAd955B506ddL8qWounjZ16tRqY1Uf6oEnT7W6f/8+TE1N4eDgoLVM6OTJk7C2ttZqaIyNjTFx4kSt412+fBnXrl3D6NGjcf/+feTn5yM/Px9FRUV44403cOHCBTx8+PCZ5/fgwQOo1eo63xD/4MED/Oc//4Gvry8ePnyoiZefn48hQ4YgNzcXGRkZAIC4uDi4u7vD0tJSa7+qRqG2G+WfduLECXh4eFSrg4ODg9YyO1dXVwDA66+/rmlQnh6/ceNGneJViYuLg4mJCf76179q5d+5c2dYW1vX+DQyc3PzGpeCERFJBWdSiIhEwMTEBEVFRdXGFyxYoGkYnn5s79Oe/qBc5dGjR1izZg0OHDhQ7elSFhYWmv/Ozs6Gvb19tRuwq+7fqHL9+nUAwNtvv4233367xjzu37+Pl156qcZtVdRqda3bq2RmZkKtViMyMhKRkZE17nP37l04Ojri+vXr+Pnnn6vl/PR+z1NRUYFvvvkGixYtqrbN1tZW67WZmRkAoG3btlrjVTf+FxQUPDfe065fv47i4mI4OjrWuL2m/NVqtWY2i4hIitikEBGJQJcuXXD58mWUl5drLflycnKCk5MTADzzPoenZ02qLFy4EHv27EFYWBjc3NxgZmYGfX19LFmyBJWVlfXOr+o977//frX756Kp/QAABJZJREFUSqq0bt36me+3sLCAnp5enT/AV8V76623qi0Rq1J1XSorKzFgwADMnz+/xv1qauL+7Pz58ygsLKzx0cPPuu7PGq9rI1alsrISFhYW+Oyzz2rcXtPsU2FhISwtLesVh4ioKWGTQkQkAsOHD0dqairi4+MxevTo//l4R44cwdixY6vNQhQUFGjNpLRr1w4///wzKisrtWZTqmZOqlTdYG5iYlKv+y2qyGQydOrUCTdv3qzT/lWNhYGBwXPj2dvbo7i4+Ln71TbzcOLECc2SOl2zt7fH6dOn8dprr9W45O/PcnNzUVZW9synwBERSQHvSSEiEoEpU6ZAoVBg6dKl+O233/7n48lksmq/0Y+NjUVeXp7W2NChQ6FUKrUe61taWorPP/9caz8XFxd07NgR0dHRNS5Lu3fv3nNzcnNzq/Njc62srNC/f3/s2rULubm5tcbz8/PDxYsXa7xxv6ioCI8fPwbw/2ecaprNOXHixDNnbBqbn58fKisrsXbt2mrbVCpVtXyrrqGbm5tO8iMiEgJnUoiIRMDc3Bx79+5FYGAg+vfvD39/f7i6usLQ0BC3bt1CYmIiSkpKqt0f8SxVT4UyNTWFk5MTLl++jMOHD1db+hQSEoJt27Zh5syZSEtLwyuvvIIDBw5ofSM88ORLBDdt2oTRo0fD3d0dwcHBaNu2LfLy8pCSkgK1Wo3ExMRac3rzzTexd+9eXL16Veu7Up5l/fr1GDZsGPr164eQkBDY29vj7t27uHDhAtLT03Hp0iUAwJw5c3Ds2DGMHz8e48aNg4uLC0pLS3H16lXEx8cjJSUF7du3h7GxMbp164bDhw/DwcEBFhYWaN++PaytrXH16lVERETU6do2tH79+iE0NBQbN27ElStXMHjwYLRo0QKZmZlISEjAkiVLEBwcrNn/9OnTaNu2LXr16iVIvkREusAmhYhIJFxdXXHu3DlER0fj+PHjiI+Ph0qlgkKhgJubGyIiIjBw4MA6HSsyMhJyuRxxcXHYs2cPXFxccOjQIbz33nta+7300kuIj4/HwoULsW3bNhgbG2PMmDEYOnQoAgICtPbt168fTp48iXXr1mH79u0oKiqCtbU1evfuXe1pYDUZNmwYrKysEBcXV6cmxdHREadPn0ZUVBT27duH/Px8tG7dGq+++iqWLl2q2c/Y2BiJiYn4+OOPERcXh/3798PExETzNDQbGxvNvps2bcKiRYuwbNkyPH78GOPGjYOrqytMTEy0nuCla+vWrUPPnj2xY8cOrF69GgYGBrC1tYWvr6/W46ArKyuRkJCACRMm8NvmiUjS9AoKCup3hx8REdELWr9+PT777DNcunSp2nfCCCUwMBCGhobYs2eP0Kk8V0JCAqZPn45Lly5pvpCTiEiK+GsYIiLSmRkzZqCsrAxffPGF0Klo9OvXD7NnzxY6jTr5+OOPERoaygaFiCSPMylERERERCQqnEkhIiIiIiJRYZNCRERERESiwiaFiIiIiIhEhU0KERERERGJCpsUIiIiIiISFTYpREREREQkKmxSiIiIiIhIVNikEBERERGRqPw/2RbeTn7y/MUAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] @@ -115,33 +128,23 @@ } ], "source": [ - "def show(X, Y, xlabel='Grade (feet/mile)', ylabel='Speed (mph)'): \n", - " plt.rcParams[\"figure.figsize\"] = (12, 10)\n", - " plt.style.use('fivethirtyeight')\n", - " plt.ylabel(ylabel); plt.xlabel(xlabel)\n", - " plt.minorticks_on(); plt.grid(True, which='major'); plt.grid(True, which='minor', alpha=0.4)\n", - " plt.scatter(X, Y) \n", - " X1 = sorted(set(X))\n", - " F = quadratic_fit(X, Y)\n", - " plt.plot(X1, [F(x) for x in X1], 'k-')\n", - " \n", - "def quadratic_fit(X, Y):\n", - " \"\"\"The quadratic function that best fits the X,Y vectors.\"\"\"\n", - " a, b, c = np.polyfit(X, Y, 2)\n", - " return lambda x: a * x ** 2 + b * x + c\n", - "\n", - "show(fpm, mph) " + "show(fpm, mph)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So, I average a little under 14 mph when the overall route is fairly flat, with a lot of variability from 12 to 16 mph, depending more on my level of effort than on the grade of the road. But from around 50 ft/mile grade speed falls off quickly: down to 12mph at 80 ft/mile; 11 mph at 100 ft/mile; and under 9 mph at 130 ft/mile. Note that even 130 ft/mile is only 2.5% grade, but if you figure a typical route is 1/3 up, 1/3 down, and 1/3 flat, then that's 7.5% grade on the up part." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "So, I average a little under 14 mph when the overall route is fairly flat, with a lot of variability from 12 to 16 mph, depending more on my level of effort than on the grade of the road. But from around 50 ft/mile grade speed falls off quickly: down to 12mph at 80 ft/mile; under 11 mph at 100 ft/mile; and under 9 mph at 130 ft/mile, Note that 130 ft/mile is only 2.5% grade, but if you figure a typical route is 1/3 up, 1/3 down, and 1/3 flatish, then that's 7.5% grade on the up part.\n", - "\n", "# Estimating Duration\n", "\n", - "For a route with a given distance and elevation, how long will it take to ride it?" + "This data can help me predict how long will it take to ride a route with a given distance and elevation. For example, to get to Pescadero from La Honda, I could take the flatter [coast route](https://www.google.com/maps/dir/La+Honda,+California/Pescadero,+California/@37.2905834,-122.3896683,12z/data=!4m19!4m18!1m10!1m1!1s0x808faed4dc6265bd:0x51a109d3306a7219!2m2!1d-122.274227!2d37.3190255!3m4!1m2!1d-122.4039496!2d37.3116594!3s0x808f062b7d7585e7:0x942480c22f110b74!1m5!1m1!1s0x808f00b4b613c4c1:0x43c609077878b77!2m2!1d-122.3830152!2d37.2551636!3e1) (15.7 miles, 344 ft climb), or the shorter [creek route](https://www.google.com/maps/dir/La+Honda,+California/Pescadero,+California/@37.2905834,-122.3896683,12z/data=!4m19!4m18!1m10!1m1!1s0x808faed4dc6265bd:0x51a109d3306a7219!2m2!1d-122.274227!2d37.3190255!3m4!1m2!1d-122.3658887!2d37.2538867!3s0x808f00acf265bd43:0xb7e2a0c9ee355c3a!1m5!1m1!1s0x808f00b4b613c4c1:0x43c609077878b77!2m2!1d-122.3830152!2d37.2551636!3e1) (13.5 miles, 735 ft climb); which is faster?" ] }, { @@ -150,18 +153,11 @@ "metadata": {}, "outputs": [], "source": [ - "def duration(dist, climb, F=quadratic_fit(fpm, mph)):\n", - " \"Given a distance in miles and total climb in feet, return estimated time in minutes.\"\n", + "def duration(dist, climb, F=poly_fit(fpm, mph, 2)) -> float:\n", + " \"Given a distance in miles and total climb in feet, estimate time in minutes.\"\n", " return 60 * dist / F(climb / dist)" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "For example, to get to Pescadero from La Honda, I could take the flatter [coast route](https://www.google.com/maps/dir/La+Honda,+California/Pescadero,+California/@37.2905834,-122.3896683,12z/data=!4m19!4m18!1m10!1m1!1s0x808faed4dc6265bd:0x51a109d3306a7219!2m2!1d-122.274227!2d37.3190255!3m4!1m2!1d-122.4039496!2d37.3116594!3s0x808f062b7d7585e7:0x942480c22f110b74!1m5!1m1!1s0x808f00b4b613c4c1:0x43c609077878b77!2m2!1d-122.3830152!2d37.2551636!3e1) (15.7 miles, 344 ft climb), or the shorter [creek route](https://www.google.com/maps/dir/La+Honda,+California/Pescadero,+California/@37.2905834,-122.3896683,12z/data=!4m19!4m18!1m10!1m1!1s0x808faed4dc6265bd:0x51a109d3306a7219!2m2!1d-122.274227!2d37.3190255!3m4!1m2!1d-122.3658887!2d37.2538867!3s0x808f00acf265bd43:0xb7e2a0c9ee355c3a!1m5!1m1!1s0x808f00b4b613c4c1:0x43c609077878b77!2m2!1d-122.3830152!2d37.2551636!3e1) (13.5 miles, 735 ft climb); which is faster?" - ] - }, { "cell_type": "code", "execution_count": 6, @@ -170,7 +166,7 @@ { "data": { "text/plain": [ - "(69.15756109673171, 62.53280536304684)" + "(69.06954183148981, 62.45380233453541)" ] }, "execution_count": 6, @@ -186,66 +182,42 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "This suggests the shorter creek route would be about 7 minutes faster. Good to know, but other factors (like the scenery) are probably more important in making the choice.\n", - "\n", - "# Eddington Number\n", - "\n", - "The physicist Sir Arthur Eddington was a pre-Strava bicyclist who favored this metric:\n", - "\n", - "> *Your [Eddington Number](https://www.triathlete.com/2011/04/training/measuring-bike-miles-eddington-number_301789) is the largest integer** E** for which you have bicycled** E** or more miles on** E** different days.*\n", - "\n", - "Let's calculate mine, and see how many rides I need to take to improve it. For various number of miles, I'll list the number of rides of at least that long that I've taken, and the *gap*—the number of additional rides I would need to reach that Eddington number." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Mi Rides Gap\n", - "-- ----- ---\n", - "52 53 -1\n", - "53 51 2\n", - "54 48 6\n", - "55 46 9\n", - "56 45 11\n", - "57 42 15\n", - "58 39 19\n", - "59 34 25\n", - "60 33 27\n", - "61 27 34\n", - "62 25 37\n", - "63 23 40\n", - "64 21 43\n", - "65 20 45\n" - ] - } - ], - "source": [ - "def eddington(distances, unit):\n", - " \"\"\"Print information on the number of rides and the Eddington gap.\"\"\"\n", - " print(f'{unit} Rides Gap')\n", - " print(f'-- ----- ---')\n", - " for E in range(1, 1000):\n", - " num_rides = sum(d >= E for d in distances)\n", - " gap = E - num_rides\n", - " if -1 <= gap <= 45:\n", - " print(f'{E:2} {num_rides:2} {gap:2}')\n", - "\n", - "eddington(mls, 'Mi')" + "This suggests the shorter creek route would be about 6 or 7 minutes faster. Good to know, but other factors (like the scenery) are probably more important in making the choice." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "So my **Eddington Number is 52**: I've done 53 rides of 52 miles or more, but not 53 rides of 53 miles. \n", + "# Segments\n", "\n", - "We can also calculate the metric Eddington number:" + "The data I have so far helps me estimate the duration for a long ride over varying up-and-down terrain. But what if I just want to know how long it will take to climb the next hill? To answer that I'll go back to Strava and retrieve data from individual segments, some only a fraction of a mile long, some several miles long, but most with a relatively constant grade. I picked some representative segments, wrote down (in [`bikesegments.csv`](bikesegments.csv)) the segment length in miles and climb in feet, along with several of my times on the segment. (I picked my first, fifth, and tenth fastest times when available, or closest to that if I've done the segment less than 10 times.)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "def parse_segments(lines):\n", + " \"\"\"Parse a string of segments into Rides. Each line contains:\n", + " 'title, miles, feet, time,*'.\"\"\"\n", + " for segment in lines:\n", + " title, mi, ft, *times = segment.split(',')\n", + " for time in times:\n", + " yield Ride(float(mi), int(ft), hours(*time.split(':')[::-1]), '?', title)\n", + " \n", + "segments = list(parse_segments(open('bikesegments.csv')))\n", + "\n", + "mls2, mph2, fpm2 = vectors3(segments) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now I plot this data, this time using a third-degree polynomial, just because it seems to fit better, and listing grade in percent rather than feet per mile:" ] }, { @@ -254,55 +226,221 @@ "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "Km Rides Gap\n", - "-- ----- ---\n", - "75 75 0\n", - "76 74 2\n", - "77 73 4\n", - "78 71 7\n", - "79 70 9\n", - "80 69 11\n", - "81 66 15\n", - "82 58 24\n", - "83 57 26\n", - "84 52 32\n", - "85 51 34\n", - "86 50 36\n", - "87 48 39\n", - "88 47 41\n", - "89 46 43\n", - "90 45 45\n" - ] + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "eddington([m * 1.60934 for m in mls], 'Km')" + "pct2 = [f * 100 / 5280 for f in fpm2]\n", + "\n", + "show(pct2, mph2, xlabel='Grade (percent)', degree=3) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "My **metric Eddington Number is 75**, and I only need 11 rides of 80 km (50 miles) to get to 80.\n", + "So I can cruise at 17 mph on flat roads (sometimes only 12.5 mph and occassionally up to 21 mph); I'm down around 6 mph at 6% grade, and down around 5 mph on 8% grades.\n", "\n", - "# H-Index\n", + "# VAM\n", "\n", - "Inspired by the [h-index](https://en.wikipedia.org/wiki/H-index) for scientific publications (and indirectly by Eddington's h-index-like metric), I invented a new h-index, or hill-index:\n", - "\n", - "> *Your **h-index** is the largest integer **h** for which you can persistently and repeatedly climb an **h** percent grade at **h** miles per hour.*\n", - "\n", - "My h-index is 6, because I can routinely climb a 6% grade at 6 miles per hour or more, but I only very rarely climb a 7% grade at 7 mph. What's yours?" + " [VAM](https://en.wikipedia.org/wiki/VAM_(bicycling)) stands for *velocità ascensionale media* in Italian, but since I don't have Campagnolo gear, I'll call it \"mean ascent velocity\": the speed in vertical feet climbed per hour (regardless of horizontal distance travelled). Legend has it that at grades between about 6% to 12%, most of your power is going into lifting against gravity, so your VAM should be about constant no matter what the grade in that range. (I guess that below that grade, power is spent on wind and rolling resistance, and above it, power goes largely to cursing *sotto voce*, as they say in Italian.) Here's a plot of my VAM at various grades:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "image/png": 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9MXLkSABAYmIi+vfvj5kzZyI7OxvZ2dmYOXMmBgwYYLhkNnLkSMhkMkyZMgXnz59HRkYGVq1ahSlTprDjGhERERGRE7PZHp2CggJMnDgRhYWF8PPzQ1JSEnbs2IF+/foBAGbMmAG1Wo3Zs2ejtLQUjz76KHbt2gW5XG6IsXHjRsyZMwdPP/00ACA1NRXvvvuu4XGFQoHdu3dj1qxZ6NOnD/z9/TF16lRMmzbNui+WiIiIiIisymaFzrp165p8XCKRYN68eZg3b57JMf7+/vj73//eZJykpCTs37//vuZIRERERESOya726BAREREREVkCCx0iIiIiInI6LHSIiIiIiMjpsNAhIiIiIiKnY7NmBERE5JpyVRqknVYhv0KLIA8dlnT1QYzcw9bTIiIiJ8NCh4iIrCZXpcHwzGJcVWkN586WFiN9QBCLHSIisiguXSMiIqtJO60yKnIA4KpKi7TTKhvNiIiInBULHSIispr8Cq3g+VsmzhMREd0vFjpERGQ1ET5SwfPhJs4TERHdLxY6RERkNQtS5IiTGxc1cXIpFqTIbTQjIiJyVmxGYIJSqbSrOPWp1WqLx3TEuADzK2ZcgPkVMy7gmvn1B/BpN0+sPK9BoVqHIA895nb0hL+uApZOhyvm11pxmVv+bnDUuADzK2ZcwPr5VSgUJh9joWNCU0kzV2FhoUXiCGFc5lfsuMyvuHFdOb/JCuAfkbX/X6lUMr8OFpe5FTcu8ytuXOZX3Lj2ll8uXSMiIiIiIqfDQoeIiIiIiJwOCx0iIiIiInI6LHSIiIiIiMjpsNAhIiIiIiKnw0KHiIiIiIicDgsdIiIiIiJyOix0iIiIiIjI6bDQISIiIiIip8NCh4iIiIiInA4LHSIiIiIicjosdIiIiIiIyOmw0CEiIiIiIqfDQoeIiIiIiJwOCx0iIiIiInI67raegL1SKpV2Fac+tVpt8ZiOGBdgfsWMCzC/YsYFmF8x4wLMr5hxmVu+dx01LsD8ihkXsH5+FQqFycdY6JjQVNLMVVhYaJE4QhiX+RU7LvMrblzmV9y4zK94cZlbceMyv+LGZX7FjWtv+eXSNSIiIiIicjq8okNERGbJVWmQdlqF/AotInykWJAiR4zcw9bTIiIiEsRCh4iI7imvXItxx4txVaU1nPuhqBrpA4JY7BARkV3i0jUiIrqnlec1RkUOAFxVaZF2WmWjGRERETWNhQ4REd1TgVoneP5WhVbwPBERka2x0CEionsKkwn/cxHuI7XyTIiIiMzDQoeIiO5pVgcPxMmNi5o4eW1DAiIiInvEZgRERHRP0b5SpA8IQtppFW5VaBHOrmtkZez6R0TNxUKHiIjMEiP3wIZegbaeBrmgXJUGwzPZ9Y+ImodL14iIiMiupZ1WsesfETUbCx0iIiKya/kmuvux6x8RNYWFDhEREdm1CBPd/dj1j4iawkKHiIiI7NqCFDm7/hFRs7EZAREREdm1GLkHu/4RUbOx0CEiIiK7x65/RNRcLHRMUCqVdhWnPrVabfGYjhgXYH7FjAswv2LGBZhfMeMCzK+YcZlbvncdNS7A/IoZF7B+fhUKhcnHWOiY0FTSzFVYWGiROEIYl/kVOy7zK25c5lfcuMyveHGZW3HjMr/ixmV+xY1rb/llMwIiIiIiInI6LHSIiIiIiMjpsNAhIiIiIiKnw0KHiIiIiIicDgsdIiIiIiJyOix0iIiIiIjI6bDQISIiIiIip8P76BAR2UiuSoO00yrkV2gR4SPFghQ5YuQetp4WERGRU2ChQ0RkAzfVEszMLMZVldZw7oeiaqQPCGKxQ0REZAFcukZEZAMf5rkbFTkAcFWlRdpplY1mRERE5Fx4RYeIyAaKqoS/Z7pVoRU8T/dWfylgK60HlodreHWMiMiFsdAhIrKBEC8dAGmj8+E+jc/RveWqNBhutBTQAxczi7kUkIjIhXHpGhGRDUyKrkGc3LioiZPXNiSg5ks7reJSQCIiMsIrOkRENtBapkf6gCCknVbhVoUW4ey61iL5Jpb8NXcpIDvhERE5DxY6REQ2EiP3wIZegbaehtXVLyaCPHRY0tWnxcVEhIklf81ZCth4+Rs74REROTIWOiYolUq7ilOfWq22eExHjAswv2LGBZhfMeMCrpnfvHIt/nisErnlesO5MyVF2NzDG9G+978/aXoCkF0gMYob4yvB9ATz87zwVKXg8reFWSVY09kbgP3n11pxXfG9a624gPn5zSvXYuV5DQrUOoTJ3DCrg4fJnyNHy4M95Lc5HC0PzpRfhUJh8jEWOiY0lTRzFRYWWiSOEMZlfsWOy/yKG9dV87vmTIlRMQIAueV6rMkBNvS6//jJCiAjVWNYCuirLcfyXq2bdSWmWFMteL5E42b02u05v9aI66rvXWvFNTe/uSoNxh2vfwVSh7Ol+iavQDpSHsSKy/evuHHtLb8sdIiIyGostZdGSP2lgDk5pc1ebmaJ5W9E1tJUAw5XXBJLJIRd14iIyGrsuZhYkCJnJzxyGGJ+aUDkLFjoEBGR1dhzMREj90D6gCCMipehZ7gnRsXL2IiA7JY9f2lAZC+4dI2IiKymrpio20sT6KHDkq6BdlNMuGonPHI8C1Lk+KGo2mj5mr18aUBkL1joEBGRVdUvJpRKJRR2UuQQOZKGXxrwXlxEjbHQISIiInJAvAJJ1DTu0SEiIiIiIqfDQoeIiIiIiJwOCx0iIiIiInI63KNDRERERERmyVVpkHZahfwKLSLsvAmGza7ovPfee+jTpw+ioqLQtm1bjB49GufPnzcaM3nyZPj7+xv9179/f6MxVVVVmD17NuLj4xEZGYk//OEPuHnzptGY69evY/To0YiMjER8fDzmzJmD6upq0V8jEREREZGzyFVpMDyzGNuvqHHsVjW2X1FjeGYxclUaW09NULMLneLiYvzyyy/IyclBSUnJfT/xsWPHMGHCBGRmZiIjIwPu7u4YPnw47ty5YzSud+/euHjxouG/7du3Gz0+b9487N27F5s2bcK+ffugUqkwevRoaLW1feW1Wi1Gjx6NsrIy7Nu3D5s2bUJGRgbeeOON+547EREREZGrSTutMrp3EwBcVWmRdlploxk17Z5L19RqNdLT0/Hll18iOzsbxcXFRo8HBQWhc+fOGDx4MIYPHw4fHx+znnjXrl1Gx+vXr0d0dDROnjyJ1NRUw3kvLy+EhYUJxlAqlfjss8+wdu1a9OnTxxAnOTkZ3377Lfr164fDhw/jwoUL+PHHH9GmTRsAwOLFizF9+nS8+eab8PPzM2u+RERERESuLL9CK3j+lonztmay0CktLcWqVavw0Ucfoby8HA888ACefPJJxMbGwt/fH3q9HqWlpcjNzcWZM2fw8ssvY+7cuXjhhRfwyiuvICAgoFkTKSsrg06ng7+/v9H5EydOoF27dlAoFOjevTvefPNNhISEAADOnDkDjUaDvn37Gsa3adMGiYmJyMrKQr9+/ZCdnY3ExERDkQMA/fr1Q1VVFc6cOYPHH3+8WfMkIrIUR1rnTEREFOEjFTwfbuK8rZksdDp27IjWrVvjjTfewPDhw01eValTUFCA9PR0/OMf/8DHH3+MvLy8Zk3k9ddfR3JyMrp06WI4179/fwwZMgQxMTHIy8tDWloahg4dim+//RZeXl4oLCyEVCpFUFCQUayQkBAUFhYCAAoLCw2FUZ2goCBIpVLDGCIia7uplmBmZrHREoAfiqqRPiCIxQ4REdmlBSly/FBUbfRvV5y89os6eyQpLS3VCz2wb98+DBw48L6CNvfPzp8/H7t27cKBAwcQGxtrclx+fj6Sk5Px0UcfYejQodi+fTsmTZqE27dvQyKRGMYNGTIEbdu2xapVqzBjxgxcuXIFe/fuNTyu1+sRHByM9evXY+TIkYLPlZOTY/b8iYia682LHjhQ1LigeSpEg6WJ9rmpk4iI6KZagg/z3FFU7YYQTx0mRdegtUywnLCKhIQEk4+ZvKJzv0VOc//svHnzsGvXLuzdu7fJIgcAIiIiEBkZiStXrgAAQkNDodVqUVxcjODgYMO4oqIiPPbYY4YxWVlZRnGKi4uh1WoRGhpq8rmaSpq5cnJyLBKnIaVSCYVC4fJxmV9x4zK/4sYtOit81btc6ouEhBDBx8zhaHng+9fx4jK34sZlfsWNy/y2PG4CgN4dhR+zt/ya1XWtoqICoaGheO+995r9BE2ZO3cudu7ciYyMDLRv3/6e44uLi5Gfn29YRtepUyd4eHjgyJEjhjE3b97ExYsX0bVrVwBAly5dcPHiRaOW00eOHIGXlxc6depk0ddDRGSuEC+d4Hl7XedMRETkaMy6YaiPjw/8/f0hl1tu/d2sWbOwdetWbN68Gf7+/igoKAAA+Pr6olWrVigrK8OyZcswdOhQhIWFIS8vD0uWLEFISAgGDx4MAFAoFBg7diwWLVqEkJAQBAQE4I033kBSUhJ69+4NAOjbty8efPBBTJo0CWlpabhz5w4WLlyIcePGseMaEdnMpOgaXKz0dph1zkRERI7GrEIHAIYNG4b09HRMmDABbm4tv8/oxo0bDXHrmzt3LubNmwepVIrz58/jn//8J5RKJcLCwtCzZ098/PHHRgXXO++8A6lUivHjx6OyshKPP/44PvzwQ0iltd+KSqVSbN26FbNmzcJTTz0Fb29vjBo1CkuXLm3xayAiul+tZXqkDwhC2mkVblVoEc6ua0RERBZldqEzfPhwHDt2DIMGDcLzzz+P2NhYeHt7Nxpn7nKw0tLSJh+XyWSN7rUjxMvLCytWrMCKFStMjomKisLWrVvNmhcRkbXEyD2woVegradBRETklMwudOqWiwFotLkfqO1kJpFIUFJSYpmZERERERER3SezC53Vq1eLOQ8iIiIiIiKLMbvQGTdunJjzICIiIiIispiWdxUgIiIiIiKyM2Zf0ZkxY8Y9x0gkEqxatapFEyIiIiIiImopswudb775BhKJxOicVqtFUVERdDodAgMDIZPJLD5BIiIiIiKi5jK70Dl//rzg+aqqKmzatAmbNm3C7t27LTYxIiIiIiKyDZ1Ohz179qBLly5o3bq1radzX1q8R8fLywtTpkzB448/jtmzZ1tiTkREREREDiFXpcH0U5UYvL8IL31XglyVxtZTahG9Xo+9e/eiR48eGD9+PP73f//X1lO6bxZrRtCxY0d8//33lgpHRETUpFyVBi99V+I0Hy6IyPHkqjQYnlmMPddrcOxWNbZfUWN4ZrFD/z5KT0/H2LFjDau5PvvsM+Tm5tp4VvfHYoXOd999B29vb0uFIyIiMqnuw8X2K2qn+XBBRI4n7bQKV1Vao3NXVVqknVbZaEYtN3jwYMTGxhqONRoNVqxYYbsJtYDZe3RMXbZSKpU4fvw4/v3vf2P69OkWmxgREZEpTX242NAr0EazIiJXk1+hFTx/y8R5R+Dh4YE5c+ZgypQpkEgkePrpp83qvmyPzC500tLSBM/L5XLExsZixYoVeOGFFyw2MVtTKpV2Fac+tVpt8ZiOGBdgfsWMCzC/YsYFmN+WxL1+t0rw/I27VYa8Mr/ixWVu+bvBUeMCls1vkIdO8Hygh84izyNWHr7//nscO3YMc+fOFXx8wIABeP755zFmzBgkJiYCMD9v1n7/KhQKk4+ZXejcvn270TmJRAI3N+e852hTSTNXYWGhReIIYVzmV+y4zK+4cZnflsWN8tPi5O3G//C18fOCQqFgfkWMy9yKG5f5FTeupfO7pKsPzpYWG11hjpNLsaRrIBRyD4s8hyXn++9//xtvv/02Dh06BAAYNGgQunfvLjh29erVzY5vb+9fs6sUqVTa6D9nLXKIiMi+LUiRI04uNToXJ5diQYrcRjNyTWwIQa4uRu6B9AFBGBbljp7hnhgVL0P6gCDEWKjIsbS33nrLUOQAwF/+8hfo9XobzkhcZl/RqXP48GFkZmYiLy8PABAdHY2nnnoKffr0sfjkiIiIhNR9uEg7rcKtCi3CfWqLHHv9cOGM6hpC1P8m+4eiarv+kEckhhi5B9Z09hbtSoYlzZ8/H6mpqYbj48eP48yZM3jkkUdsOCvxmF3oVFVV4U9/+hMyMzMBAKGhoQCAzMxMbNiwAU899RQ++eQTeHp6ijN9erc2AAAgAElEQVRTIiKiemLkHmw8YENsCEHkeB577DH07dsXhw8fRrdu3TB//nynLXKAZixdW7ZsGQ4cOIBXX30VV65cwc8//4yff/4ZV69exaxZs7B//34sX75czLkSERGRnXDGblNEju7KlSuYOHEitmzZYnLM4sWL8fnnn+Orr75Cjx49rDg76zO70NmxYwfGjBmDBQsWwN/f33BeoVBg/vz5eO6557Bt2zZRJklERET2JcJHKng+3MR5IhJPfn4+pk6dis6dO2Pbtm1YtmwZqqurBccmJyejR48ekEgkVp6l9Zld6BQWFiIlJcXk4ykpKSgsLLTIpIiIiMi+WbshBBsfEJmm0Wiwbds2aLW1V1Tz8vLw+eef23hWtmd2oRMZGYljx46ZfPzYsWOIjIy0yKSIiIjIvtU1hBgVLxO921Rd44PtV9Q4dqsa26+oMTyzmMUO0f+Ljo7G888/b3Tuyy+/tNFs7IfZhc6zzz6L3bt3Y+bMmcjJyYFWq4VOp0NOTg5effVV7NmzB88995yYcyUiIiI7UtcQYm9qCDb0ChSt21pTjQ/EwitIZI+qqoRvlgwAr776Kry8vNCuXTts3LiRW0rQjK5rr732Gq5evYpPPvkE//jHPwz30NHpdNDr9Xj22Wfx2muviTZRIiIiR5Cr0iDttAr5FVpEsO21RVi78QFbZ5O9KS4uxpo1a/DFF1/g+PHjCA4ObjQmMjISBw4cQHJyMtzdm30HGadkdhakUinWrVuHSZMm4euvv8b169cBAFFRUXjyySfx8MMPizZJIiIiR8APyOKwduMDts4me/Lpp59i/vz5KCsrAwCsXr0aS5cuFRzrzK2i70ezy72HH36YRQ0RkQvilYp74wdkcSxIkeOHomqj3IrZ+ICts8me+Pv7G4ocANi4cSOmTZuGsLAwG87KMdzXda3KykqUlpZCr9c3eiwiIqLFkyIiIvuSV67FuOO8UnEvrvYB2VrFb13jg7TTKtyq0CJc5EKbrbPJ2jQaDXQ6Hby8vBo99tRTTyEoKAjFxcUAAD8/P+Tk5LDQMYPZhU5VVRVWrFiBzZs3N9lGuqSkxCITIyIi+7HyvIZXKszgSh+Qrb1Mr67xgTVY+woSua5z585hy5Yt2LZtGxYuXIixY8c2GuPp6YlRo0Zhx44dmDFjBiZMmAAfHx8bzNbxmF3ozJ49G5s3b8aAAQPQrVs3KBQKMedFRER2pECtEzzvrFcq7pcrfUB25mV61r6CRK5p/fr1mDt3ruF4y5YtgoUOALz++utYvHix4BUfMs3sQmfPnj344x//iDVr1og5HyIiskNhMjcAjYsdZ7xS0RKu9AHZ2ZfpWfMKErmm/v37Gx2fOHECly9fRtu2bRuN9ff3t9a0nIrZhY5er3epTg5KpdKu4tSnVqstHtMR4wLMr5hxAeZXzLiAY+V3WrwWZ0okyC3/bW9mjK8E0xNa9jqcMb/+AFZ2kgL4/yJQV4F7TcXR3r9KpRJBHsJX+QI9dPeVe0fLgTO+d10hLmDd/F66dAkymQytW7du9FhwcDA6d+6MU6dOAajde3P69Gmj1tHMb62m5tvUKjOzC53U1FT861//wvjx45s3MwdliaV5hYWFoi3xY1zmV+y4zK+4cR0tv+0BZKT6iHKlwhXz23AT//QETyTb8Xzrq8vtkq4+OFta3GiZ3pKugVDc5/vCnv/OrBXX3t+7jh7XGvktLS3F7t27sWXLFpw6dQp//vOfsXz5csE/M378eLRq1QpjxozBoEGDIJPJTMYVa76WZG/vX5OFzp07d4yOX3/9dTz//PN49dVXMW7cOLRp0wZSaeMlCwEBAc2eBBHR/ar7wHj9bhWi/LROu0zIHjjiUh5btMS+13MKbeLPLpAgI1XjUO9dV1qmR9QcR44cwcyZMw3H27dvx9KlS+Hp6dlo7HPPPYfnnnvOmtNzKSYLnfj4eEgkEqNzer0eP/74Iz755BOTAdl1jYispeEHxpO31Wx5TAa2uHmnOc8ptIk/t1zvkJv4HbH4JbIUvV7f6LMyULsKSqFQGJZwlZSU4MCBAxg6dKi1p+jyTBY6r732mjXnQUTUbM7c9YlazhbvD3Oe09k38RM5K51Oh//+97/45ptvcOjQIfTu3Rvz5s1rNM7b2xujRo3Cxo0bAQA9evRgt2IbMVnoLFiwwJrzICJqNn5gtC5bLANryZxs8f4w5zld6V47RM5k165dePHFFw3HVVVVgoUOADz//PMICgrCs88+i9jYWCvNkBoyuxkBEZG94QdG68kr12LccesuA7uXppaJAbZ5f5jznEL32onxlTjlvXaIHE1NTQ10Op3gfppevXoZHZ85cwZFRUUICQlpNDY5ORnJycmizZPM42brCRAR3a8FKXLEyY0/WDrSzRlzVRq89F0JBu8vwkvflSBXpbH1lExaeV5jckmWrTS1TAywzfvDnOes28Q/Kl6GnuGeGBUvw+Ye3ja/OmbvHOnnhRxLfn4+PvvsM/zpT39C27ZtkZGRITguJCSk0a1WsrKyrDFFuk+8okNEDqt+16cbd6vQxs/LLpZTmeOmWoKZVt4o3xIFauF7pthymeC9lonZoiuYuc/ZcBO/GPedcCa2aCxBruPvf/873n//fcPxwYMHMXLkSMGxw4cPR1RUFPr374++ffuiTZs21pom3QcWOkTk0Oo+MCqVSofa7PlhnrtDNVIIk7kBaFzs2HKZoDnLxGzRFYydyCyPjUeopfLy8hAVFSX4WL9+/YwKnUOHDkGn08HNrfHCpxkzZog2R7I8Ll0jckJc4mH/iqqEf/3aayOFWR087G6ZoKMvXSTzsfEI3Y/MzEy8+uqr6Ny5Mzp27Ihz584JjuvSpQvk8t9+b2i1Wly/ft1a0yQRmXVFR61W44MPPsCjjz6K3r17izwlImoJLvFwDCFeOgCNr0jYayOFaF+p3d0csqllYjm3bDYtEgEbj1AdvV6PoqIiXL16FdeuXUNZWRkmTJggOPbkyZP46KOPDMeHDh3CwIEDG43z9PTESy+9BE9PTzzxxBPo1KkTpFK+t5yBWYWOTCbDihUr8O6774o9HyJqIS7xcAyTomtwsdLb6O/K3q9G2OOSrPpzqt9qupXWA8vDNS5V3Au12va39aQsRKhTnb3/vFiDPbZ8t4Tq6mpUVlYKLke+ffs22rdvbzj29fXFCy+8IHjjzri4OKPjgwcPChY6ALBw4cIWzprskdl7dDp06IBr166JOBUisgQu8XAMrWV6u7tC4sgaX8n0wMXMYpe5kmnqSu6n3TyR7Dhb10yyRWMJe+dsV+8//fRT7Ny5E1evXsWNGzfw9ttvY9KkSY3GBQcHw9fXF+Xl5QCA8vJy3L59W7DFc/3717i7u8Pd3R06nXBjFXJOZhc6CxcuxPjx49G9e3f069dPzDkRUQtwiYfjsMcrJI7K1a9kmnr9K89r8I9IG03KwvjzYswR3vNVVVX44YcfDMvMqqqqsHTpUsGxeXl5+O6774yOhUgkEsTGxhrtt7l69apgoZOUlIQlS5YgISEB3bt3h5+fH3Jyclr4qsiRmF3ofPjhhwgMDMSoUaMQHR2N2NhYeHt7G42RSCT44osvLD5JIlfS0qUIXOJBrsjVr2Saev2FJtqCk+Ozh/d8ZWUlLl26hNjYWAQFBTV6vLy8HIMGDTIcy2QyLFmyRHCZWf2rL4DpQgcAHnroIUgkEsTFxSEuLk7wuQEgKCgI06dPN/PVkDMyu9A5e/YsJBIJIiIioNFoBCtioTcuEZnPEksRuMSDXJE9XMm05X4JU68/VMbmqs7Klu/5lStX4uOPP8avv/4KvV6P999/H+PHj280LiAgAH5+frh79y6A2uZWBQUFCA8PbzS24X4alcr0zYjXr1/fwldArsLsQuf8+fNizsPuWOrmbWLcBE6tVls8piPGBZwvvwtPVQouRViYVYI1nb0F/4xQXH8AKztJYejqpavA/aTK2fJrT3EB5teScacnANkFEuSW6w3nYnwlmJ5g2Tybmm9euRZ/PFZp9PzZBZXY3MMb0b73/uDZ0jyYev3T4rWivM/43rX974bmvufvNd/y8nJkZGQgNzcXubm50Ol0JguKsrIy3Lx503D8888/m5xzVFSU0TKzn376CTKZrNG46OhobNy4EdHR0YiOjgYg3o10+f61/fu3uZqab1P30OMNQ02wxI0HCwsLRbuBIeM6Z36LNdWC50s0bk3+WebX8eIyv5aNm6wAMlI1hiuZvtpyLO/VWpQrKkLzXXOmxOgDJwDkluuxJgfY0Mu819eSPDR8/XVXcv11FRb/e+N7V9y45ubX1N+50Hu+vLwcubm5uH37NpKSkhotEwNq2za//vrrhmNPT0/I5XLBm2Y+8MADRsf5+fkm5/zkk0+iffv2iIuLQ2xsLB566CHBsQqFwuiGnmLdBJrvX3Hj2lt+m1XoaDQabNu2DUePHsXt27exaNEiJCcno7S0FN988w169OiBiIiIZk+CiGrZw/IbIkdVf7N6Tk6pVZaNXb9+HWq1GjnnfgVulQExHQG3335e6/ZLXL16FYcOHUJNTQ00Gg3i4+ON9i7Ut23bNly+fNlwPGrUKLRr167ROKVSib/97W+GYz8/P2x4+eUGY2r/98yZM/jPf/4DqVQKDw8PJCUloWPHjoLPf+bMGeh0OsPYhIQEeHg0zqVWq0VNTQ3c3d15zxEbMadBw+zZs7FhwwbD8cqVK/Hiiy82Gufv74+AgADcuXMHQG2L519//RVt2rRpNLauUJJIJIiMjERAQIDJ51+0aJE5L4VIFGYXOnfu3MGwYcPw448/IjAwEHfu3MHL//8LVS6XY/HixRg5ciTeeustseZK5PTYSICoaS3ZB1NTUwOlUgmlUgmNRoPExETBcZ988gn279+PsrIylJeXY8qUKXjmmWcEx3bt2hUVFRW/nXj7JCD77ee17kuKs2fPYtasWYbzQ4YMMVno7NixA19//bXhOCUlRbDQKSsrw4oVKwzHkZGRhn+XG8rMzMQ777xjOJ41a5bJQue5557Dr7/+ajj+6aefBD/sHj58GKNGjQIAuLm54YknnsDWrVsFYy5atAgnT56Eh4cHvLy8MHv2bPz+979vNK68vBwrVqyAh4eH4YqCUIthALh06RKuXLkCDw8PuLu7IyYmxrDkqaEbN25Ar9dDKpXCzc0NISEhgsWZTqeDXq+Hm5vbPfcdK5VKlJeXQ6PRoKamBhEREfDx8Wk0rqysDEePHjWMk8lkSE1NFYx58OBB7Nu3D3K5HBqNBqmpqejZs6fgPIcNG4by8nKUlZXBy8sLR48eFYzZsBvZ1atXTb6muLg4Q6EDANeuXRP8u3/44Ydx6tQpREdHm7zfDZE9MLvQWbRoEa5du4avvvoKiYmJRr90pVIphgwZgm+++YaFDlELsJEAkWlCzTpO5lzHssQquJUVo6ioCKmpqYJtZi9cuIDHHnvMcNy+fXtkZ2cLPs+lS5eQmZlpOL5x44bJOXl7exsXOjVVAGoLnfpfUri7G/9zq9FoTL9QEdTU1BgdC12hqdNwbqbG1h93r3uT/Pzzz8jKyjIcC11RAGo3oK9atcpwHBoaarLQ2b59O5YvX244njNnDubPny84tk+fPigqKjIcX7x4EWFhYY3G7d+/H2PGjAFQW7wNHDgQmzdvFoz50ksvGb2mvXv3ChYl+fn5ePbZZw3Hbdu2NVnoHDlyBB999JHhOCIiQjCmm5sbsrOzUVVVBaD2/aXVagWLt4ab/JsqdJ599ln069fPsMwsOTlZcJxMJkNCQgKA2s5rRPbK7EJn//79mDhxIrp164aSkpJGj7dt2xaff/65RSdH5Ip4rwj7kavSYOGpShRrqp3qruOOQKfToaCgANevX4e3tzc6duwoeN+Q63+bgTHXzhiO9+zZg169ejWK5+fnZ3Tc1GbZht9O192YUIiPj4/Rv4mDIt1w19ez0ZcUDQsdrda6ba8bFjoN53M/YxsWRJ6eniZjmju2urrarHFC82yqeGtYiAntOwGM/17qru6Y0jAvDedjal5NFbnNGevr62sodGpqanDjxg3ExMQ0GhcXFwepVIrWrVujbdu2SElJMRnzpZdeMvkYkSMyu9BRqVRGm8Qaqq6utvovbiIisTjbXcftTVVVlckPphkZGZgwYYLhQ97QoUPx6aefCt83xC/Y6PD27duCMf39/Y2OS0tLTc6t4dim2tzGxMTA29sb3t7ekMlkePexQLRu3fiKUnR0NF544QXDvhdTy+YAYOTIkXjkkUcMx23bthUcJ5fLMW/ePMNxq1atTMZMSUnBn/70J8PyqQ4dOpgc+/DDD6O0tBQ1NTWoqalpsoDw8PAw/D01VZQ0LGDMuUrU1Ljmjm34+cTUnqKGBVFTe4/MvUpnbkHUnJhA7d93/SL72rVrgoXOI488glu3bqGiwvKNKYjsndmFTnx8PM6cOYPnn39e8PFvv/22yV/cRESOxBHuOu5o/vKXv+Cnn37CL7/8gqtXr+K///1voystQO1N/up/wLt+/ToAE806/IyLisLCQsHn9vHxgZeXF2QyGRQKBRQKBaqrqwU/nD/xxBPYsmULfH19IZfLBe/5Ueerr74y+Vh9Dz74IN577z2zxpraD9SQn58f5s6da9bYIUOGYMiQIWaNTU9PN2vcsGHDMGzYMAC1hURTX3auXLkSpaWlqKqqQnV1NR566CHBcQEBAVi0aBGqq6uh0WgE3x912rVrh/79+0Oj0UCj0TT5ZWxkZCR8fX2h1WoNjRaE6PV6SCQSw5WcpgqdwMBAhIeHw93d3bD3SIivry8GDBhgGGfq5pYA0KtXL6hUKkPcrl27mhy7ceNGSCQStGrVCsHBwQgODhYcJ5VK2SyCXJbZhc4f//hHvPXWW+jZs6dhWYBEIkFVVRXeffddHDx4EKtXrxZtokRE1mQPdx13JMXFxfj555/h6+uLTp06CY7JyMjAxYsXDcc3btwQvLLQ8ANr3R4ZoWYdgW3iEPxgEtpEhCE0NFRw0z5Q++9Vfn6+ySVL9cXGxgq23yXT7vVhumE7YlMCAwMxc+ZMs8aOGzcO48aNM2vs8ePHzRo3YsQIjBgxAnq9/p6rVFatWmXWFZKAgACTTRoa6tmzJ8LDww37X5rSpUsXs2ISuTKzC53JkyfjwoULmDBhguEH+6WXXkJJSQlqamowfvx4jB07VrSJEhFZE1t9m2fv3r145ZVXUFxcDKC2FXL9Vrb1JSYmmlXoREZGws3NDX5+foiKikJUVBS0Wm2jZh1yDwn0bV6Aath4BPlIMe8ee6jMKXKE1O/0FuShw5KuPly+6OQkEkmT+5iIyDGY/VMskUjw17/+FX/4wx+Qnp6Oy5cvQ6fTIS4uDiNGjMDjjz8u5jyJiKzKFq2+W9I6WSy//vorsrKy0KdPH8HH/f39DUUOAKNCpqH27dsbHdf/c/W5u7sjLy9PcM9JXbMOa+2hEnqes6XF3KtFROQAmv11Rffu3dG9e3cx5kJEZDfqrh4szCpBicZN9Fbf9tb8YM6cOfj6669x7do1ALX3TBHq1tRwSVJOTg50Op3g1ZOhQ4eiXbt2eOCBB9CuXTu0atXKZPezpjbWA9bbQ8W9WkREjqvZhU55eTm+//575OXlAajtONOtWzf4+vpafHJERLYUI/fAms7eVulUZG8fqC9fvmwocgAgOztbsNAJDg5GQEAA1Go1EhISkJiYiLKyMsFN5B07djR5k8rmstYeKu7VIiJyXM0qdNauXYvly5ejrKzMqLd8q1atMHfuXEybNs3iEyQicgXW+EBdU1ODn376Cd9//z2OHz8OT09PfPzxx4Jju3XrhkOHDhmOs7KyBG/cKJFIcPz4cYSGhlq1s5O19lBxrxYRkeMyu9BZu3YtFixYgMceewwvvviioa//pUuXsHHjRixcuBASiQRTp04VbbJERM7KGh+o8/Ly0Lt3b8OxTCYz2WK5W7duAGrvTfLoo48iKSnJZNyIiAiLzdFc1tpD9af2Muy+qkZNvftGuktqzxMRkX0zu9D58MMP0atXL+zevRsSicRw/uGHH8aIESMwfPhwfPjhhyx0iMiq6jbwX79bhSg/rV1s4L8flvjgXl5ejmPHjqFt27aC7Xzj4uIQHh6OW7duAQDUajX++9//onPnzo3GpqSkYO/evfjd734HmUxmci+NrTTswCbWHqpPfjEucgCgRl97vnsEix0iIntmdq/N4uJiDB482KjIMQRxc8PQoUNNdtAhIuvKVWnw0nclGLy/CC99V4Jclem7azuyug3826+ocfK2DtuvqDE8s9ghX2/dB/dR8TL0DPfEqHiZ2Y0I9u3bh/79+yMmJgZjxozBp59+KjhOIpEYrtTUOXnypOBYLy8v9OzZEzKZ/X6Yr+vAtjc1BBt6BYpS4HKPDhGR4zL7ik7Hjh2bbBt68eJFPPzwwxaZlD2w1LeXYnwLqlarLR7TEeMCzK9Q3LxyLf54rBK55b99DZ1dUInNPbwR7du8ZVD2nt+FpyoFN/AvzCrBms7eFnkOa75//QGs7CQF8P9/T7oKmPNXcPfuXfzwww+G46NHj5r8u+vZsycqKirQtWtXdOnSBQ8++KBZf8+O9nMBWOb9G+ShEzwf6KGz6M+Ho+XX3n83OHJcgPkVMy7A/IoZF7B+fptqGGR2ofPuu+9i5MiRiImJwQsvvAAfHx8AQEVFBTZt2oSMjAxs3769GVO2b5boslRYWChatybGZX5NxV1zpsSoyAGA3HI91uQAG3qZ//yOkN9iTbXg+RKNm0Xnbqv3r16vx5kzZ/DVV19h//79+PzzzxEbG9toXP/+/Y2Oz507B4lEItj5bPz48Rg/fvx9zdne3w/1Wer9u6SrD86WFjdaUrikayAUFr6C5Cj5dYTfDY4cl/kVNy7zK25ce8uv2YXOpEmT4O7ujoULF2LJkiUICwsDABQUFKCmpgYRERGNOvJIJBJ8//33zZ4UEd0/V1pq4+wdsYYMGYJjx44Zjo8fPy5Y6AQHByMxMREXL15EXFwcevTogfLycsFCh5qn4V6gQA8dlnQVZ5kcERFZltmFjp+fHxQKBWJiYozOt2nTxuKTIqL75+wf/uuzVuctW0lJSWlU6Dz33HOCY9evX4/w8HDIZDKr3PfHldTtBQJql2Q0vJJT1xAjv0KLCJFvLEtEROYzu9A5cOCAmPMgIgtx9g//9dX/tv3G3Sq08fNymA+Zer0eJ0+exMGDB7FgwQLBMYMGDcKaNWsMx6YaBwBAp06dAIizNtqRiV2E1DXEqP/z9kNRtdmNJIiISDzNumEoEdk/a7XdtRd137YrlUqHuJKh0+mwdu1abNq0CdeuXQMAjBo1ComJiY3G/u53v0NMTAySk5MxaNAgDBgwwMqzdSz1i5pWWg+83EqNad8rRS1C0k6rBBtipJ1WGa4CERGRbbDQIXJC9ZfakH1xc3PDnj17DEUOAKSnp2Pu3LmNxkqlUvznP/+Bm5vZdwJwOXXFzZW7GvxcWoPymrpHPHD04B2UN7gJjqWLEFfaE0dE5Gj4rycRkZWNHTvW6Dg9Pd3kWBY5ptW/j9K/b9cvcmo1LHLqWLIIcaU9cUQkLFelwfRTlU5/7zpHxH9BiYgsSK1WY9u2bRg3bhxqamoEx4wYMQLe3t5wd3fH4MGD8dZbb0GvF/5QDrjODWCbS2jZmDksWYQsSJEjTm4cz1n3xBFRY3VfuOy5XoNjt6od+sbVzohL14iILGTJkiXYtGmToSHA119/jYEDBzYa5+fnh2XLlmHgwIEIDQ1tMmauSoNB+4pwo+K3QujErUp8NTDEafddmcvUsrH6fN1hdKXH0kWIq+2JIyJj3Kdn31joEBFZSElJiVHXs88++0yw0AGA7t2737PIAYDXTyqNihwAuFGhx+snlfjiieCWTdjBmVo2VidOLsXfuivwyS9qUYsQe9kTJ9Rhzt/WkyJyctynZ9/MXroWEhKCnTt3mnw8PT0dISEhFpkUEZG9amqJWcO9N19//TWKi4tb9Hw/3BZe/mDqvCsRWjbm6y5B5xAPPBWiQfqAIHSPkGFDr0DsTQ3Bhl7Oe6PP+vuV6i+fySvnhy0iMXGfnn0zu9CpqamBTqe778cbeu+999CnTx9ERUWhbdu2GD16NM6fP280Rq/X45133sEDDzyA8PBwDBo0CBcuXDAaU1paiokTJyI6OhrR0dGYOHEiSktLjcacO3cOAwcORHh4OB588EEsX768yQ8rRJbGjYqO79dff8XKlSvRuXNn3Lx5U3BMSkoKOnTogKCgIEydOhXff/89goKCWvjMpn5X8XdY3bKxUfEy9Az3xKh4GY4PD8E3g0OxNFHjtEWNEFPLZ1ae5+8aIjFxn559a9bSNYlEYvKx06dPw9/f/Ivkx44dw4QJE5CSkgK9Xo+3334bw4cPR1ZWFgICAgAAq1evxtq1a7F27VokJCTg3XffxYgRI3Dq1CnI5bVvoBdffBE3btzAjh07AADTp0/Hn//8Z2zduhUAcPfuXYwYMQLdunXD4cOHkZOTg6lTp8LHxwcvv/xyc14+0X3hDQUd3xtvvIF169YZvszZsmULZs+e3WicRCLB559/jtatW8PT09Miz905xBP7rlcJnif7WTZma6aWzxSqzf8Ckoiar+4Ll4VZJSjRuHGfnp1pstBZv349/v73vxuOFyxYgHfeeafRuNLSUty5cwfPPPOM2U+8a9euRs8VHR2NkydPIjU1FXq9HuvWrcMrr7yCYcOGAQDWrVuHhIQE7NixA+PHj8fFixdx8OBBHDhwAF26dAEAvP/++0hNTUVOTg4SEhKwfft2qNVqrFu3DjKZDB06dMAvv/yCDz74ANOmTWuyeCOyBFtsVBT7bvCuJiYmxuiK9ebNm/Haa68Jtn6Oi4uz6HO/01WBsyW3caP8t+dv4+uGd7ra/81RyRQa7RYAACAASURBVHpMLZ8JlbG5KpHYYuQeWNPZ2yFuWu1qmvwNGBAQgLi4OMM/3MHBwYbjuv/i4+PRo0cPLFy4EO+99959T6SsrAw6nc5wVSg3NxcFBQXo27evYYxMJkO3bt2QlZUFAMjOzkarVq3QtWtXw5jf//738PX1NRrz2GOPQSaTGcb069cP+fn5yM3Nve/5EpnL2hsVTa3V53K5+/fMM8/Ay8vLcJyfn4+ff/7ZKs8dI/fAV6nBRsuzvkoNZuFKRkwtn5nVge8TInJdTV7ReeaZZwxXaVJTUzF37lz07t1blIm8/vrrSE5ONlyZKSgoAIBGDQ5CQkKQn58PACgsLERQUJDRVRmJRILg4GAUFhYaxkRGRjaKUfdYbGysKK+HqI61Nyqy1WXzXb58GWvXrsW4cePQqVOnRo/7+/tj6NChOH/+PMaOHYtnnnkGgYHWyyWXZ/2GVyuFmWpz7a+rsPXUiIhsxuw9Ovv37xdtEvPnz8fJkydx4MABSKX20aUiJyfHruI0VFfIuXpcR8jvmAAJTnh74UblbxdQ23jrMCagBDk5LevIVaf+fK/c9gLQ+OfoSnFZs5/PEfLbkriXL1/Gxo0bcejQIej1ety8eRNpaWmCcadPnw4vLy9IJBIUFxe3uJsa4Pz5tXTcm2oJpp0z/lk68Ws5/pZUhdayxs0ZXDG/c+p9r1d9qxiFForbkCvm1ppxmV/LxL2pluDDPHcUVbkhxEuHSdE1aC1jfsWOa+38JiQkmPwzzWpGUFpainXr1uHo0aO4ffs21q5di86dO6OkpAQff/wxhg4d2uSTCZk3bx527dqFvXv3Gl1dCQsLAwAUFRUhKirKcL6oqMhw74nQ0FAUFxdDr9cbruro9Xrcvn3baExRUZHRc9YdN3UPi+a+DiF1+4QsTalUirIO1NHiOkp+EwB8FacRbaNiw/nG/1qCf99VNxoXH9QKCQnRZsd1lPy2JO6FCxdw8OBBw/HBgwexYsUKREf/lidXf//aU9x3vyvBjUrj9/aNSjd8ficQGzoaX/FifsWLy9yKG5f5tUzcXJUGM40aAUlxsdIb77cvQ++O7SwzyXrsNQ/Wjmtv71+zdylev34dPXr0wKpVq1BWVoZLly6hoqL2knhgYCD++c9/GjUuMMfcuXOxc+dOZGRkoH379kaPxcTEICwsDEeOHDGcq6ysxIkTJwx7crp06YKysjJkZ2cbxmRnZ6O8vNxozIkTJ1BZWWkYc+TIEURERCAmJqZZ8yW6X3UbFc25l0euSoOXviu571bUbHVpvsGDBxv97tFqtfjss89sOCNqCm/MR0TmMrWM+8O8Zn3HTw7O7EJn4cKF0Gg0OHHiBHbv3t3oPjQDBw7Ev/71L7OfeNasWdiyZQs2bNgAf39/FBQUoKCgAGVlZQBq99pMnjwZq1evRkZGBs6fP48pU6bA19cXI0eOBAAkJiaif//+mDlzJrKzs5GdnY2ZM2diwIABhmpy5MiRkMlkmDJlCs6fP4+MjAysWrUKU6ZMYcc1sjuWaCQgdG8RV29lXV1dLXjezc0NM2fOBAAkJSVhw4YNmDNnjjWnRs3AG/MRkblMfTFSVM1OhK7E7LL2yJEjePnllxEfH4+SkpJGj8fGxpq8iZ6QjRs3AoChdXSduXPnYt68eQCAGTNmQK1WY/bs2SgtLcWjjz6KXbt2Ge6hUxdnzpw5ePrppwHUNk149913DY8rFArs3r0bs2bNQp8+feDv74+pU6di2rRpZs+VyFos1UiAm9dr/fLLL1i2bBlu3bqFr776SvDLjZEjRyIkJAT9+vXjlx92bkGKHD8UVRv9jPBqJREJMfXFSIgn7y3lSswudKqqqprsMqRSqQTvKWFKaWnpPcdIJBLMmzfPUPgI8ff3v+eSuaSkJFGbKRBZCpfmWIZGo8HUqVOxY8cOw/1vjhw5YtSuvo6Hhwf69+9v7SnSfTDVWcyVr1YSkTBTX4xMim68h5Wcl9mVyQMPPIDjx4+bfHzfvn146KGHLDIpIlfFpTmW4eHhgdLSUqObfL799tuNltyS46m7WmnOfjcicl2mlnELdWgk52X2FZ1JkyZh8uTJSEpKwvDhwwHUdji7cuUKli1bhuzsbG7iJWohLs2xnHnz5uHrr782HKvVahQXFyM4ONiGsyJyXbwHElmb0DLunFs2mgzZhNmFzujRo5GXl4e0tDQsXboUAPD0008bWjsvXLgQgwYNEm2iRK6AS3Oap7Ky0nBvm4YeeeQRDBw4EFeuXMG8efMwZMiQZi2vJfvHD86Oo67RSv0vcX4oqnb5RilEJK5m9dibPXs2nnnmGWRkZODy5cvQ6XSIi4vDsGHDEB8fL9YciVwKGwncm16vR0ZGBhYsWIDFixfjf/7nfwTHrV27Fn5+fnZzI+J74Qd38/GDs2OxVKMVczT8OZqeACRb/nYhROQAmt1MPCYmBi+//LIYcyEiuqdLly7hlVdewbFjxwDUtr5/6qmnBMcGBARYc2otwg/uzWPND87UctZqtCL0c5RdIEFGqoY/R0QuqNnrOI4ePYq3334br776KnJycgAA5eXlyMrKglKptPgEiZxBrkqD6acq7/smoGQsKyvL8P9v3LiB1atXI69c26IbrdpaUx/cqTF2KHQs1mq0IvRzlFuu588RkYsy+4pO5f+xd+dhUZbrH8C/w744DWggKoIb7tsht+qomLngivtWHjupuZRmYWWRlVEobrlnWmmriohLaZqpnFzRyOikx/gdbBQV2QQHGGBk5veHh5GBmWEG552Zd+b7ua6u6/DOyz0PNyNn7nme535KSzF16lQcPXpUuy9n5MiRCAsLg5ubGyZPnowXXniBh+0RVcNP6i2rVatWmDVrFtatWwcAcHNzQ25RKZ45WQp58YNuOmLLsbE37va0pM1exsIOheJirUYrLICJqCqTZ3RiY2Nx4sQJbNy4EWlpaTptWj09PREVFcWzaoj04Cf1lhcdHY2AgAA89dRTOHXqFO4OnK9T5ADiy7GhN+5SdwmiDuchIUOJk1nlSMhQIupwnk1mrCqLdnsYS0y4FM2lujljh0L7ZajVr6WLZBbARFSVyYVOUlISnn/+eUycOBG+vr41Hg8LC8Nff/1lybEROQR+wmi+q1ev4oUXXsCdO3f0Pi6TyZCcnIzExES0adNGsBxbc8mhoTfuGg3splC2h6JdrlBhRnI+5p4sQDs/N0QGewr6xpksxxpnIOn7dxTqK2EBTOSkTF66lpubi3bt2hl83NXVFaWlpRYZFJFY6VvWw08YTadQKLBq1Sps2LAB5eXl8PPzw7Jly/Te27hxY+3/FiLH1l5yaKi1+NyTBXrvt0WhbOuiXd/vpLnUlQUOaen7dzQvDHx9EDkpkwudJk2a4M8//zT4+Llz59C8eXOLDIpIjAy9MV7/pIyHgJpo6dKl2LBhg/brrVu3Ytq0aUY/ZAHuf4qbclt3j87D5tgWXb30tRa3p0LZ1mNhpzUyRfV/R2yUROS8TC50xo0bhw0bNmDEiBFo1aoVAGgP6du+fTuSkpLw7rvvCjJIW7DUH0Yh/sAqlUqLxxRjXMC+8rv4fKneN2Gf/HEXXzzhgWVppchTSRDo7YLo9u7wU5fAEsOv63ivFVdgxSUVbivVaPi/MYX46r5htXZ+Z82ahaSkJNy8eRMAUFFRga1bt2Lx4sVGY/oB2NoNWJ/hhmyl2iI5vn63TO/1zLtlVv37MC/sfnvcqkVcqK8E88L0f7+Q/47nhXmYNRZT45rK3N+JPf19cLS4zK3z/H+bo8UFmF8h4wLWz69MZvigLJMLnVdffRXnz5/HkCFD0Lp1a0gkErz55psoKCjAzZs3MWDAAMyZM8e8UdsxY0kzVXZ2tkXi6MO49pffPFW53uv5Khd0alwfG3wL7Wa8coUKU09XnX1SI61Ao7MEyBb5lclk2LhxI6KiotCoUSO8++67GD9+vPZDFWNaA9jewnLjbfpIBc7m1vzDGvyIp1X/PnSSAfsjVTWWtBlbiiPU762TTGb2WExh6njN+Z3Y298HR4rL3Aobl/kVNi7zK2xce8uvyYWOh4cHEhMTsWPHDuzduxfl5eUoKSlBmzZt8MYbb2DKlCkmvRkhclS2XtZjDlsvAapsUa9PREQEvvzyS/Tr1w/16tUTfCyGWKsdrin0LWmzFVuOxZ5+J0REZP8MFjqLFy/G2LFj0blzZwDArVu34O/vj0mTJmHSpElWGyCRWIjpTZgtN5VfvHgRb7/9NrZs2YI2bdrovWf48OGCj6M2lZuaF5/LR77KxWKzF4bIFSq8cbYQF3JVADToHuCBuJ4ybqKuwlDDBuaIiIj0MVjorFu3Dp06ddIWOh06dMDmzZsxbtw4qw2OSEyMvQmTK1RYfL4Ueapymx/4CNhm9qm8vBzx8fFYvXo1KioqMGvWLPz4449wczN5YtnqQqXuWNvdS7Bp+EpyhQpDD+Ygs+TB3peD18uQlp+L7yMf5Rv5KuxpdouIiOybwXcYgYGByMjI0H5d9YBQItJP35swa7cpNoUtZp+OHDmCFStWaL/+9ddfsXr1aixcuFCw5xSL2FSFTpFTKbNYzY5iREREdWSw0Bk8eDCWL1+OI0eO4JFHHgEArF69Gt98843BYBKJBHv27LH8KIlEzNz9MPrO4rF0QWSLJUBDhw7F8OHDceDAAe21rKwso/t1nIWhpYQAD5YlIiKqK4OFTlxcHIKCgnDq1CncunULEokEd+7cwb1796w5PiLRM2c/jDVnf6y9BEgikWDVqlU4ffo03N3dsXbtWgwcONBqz2/PDC0lBOyzmQUREZEYGCx0fHx8sGjRIu3X/v7+WLJkCffoEJnJnP0wtu6GZglqtRoSiUTvLE1AQAC2bt2Krl27wt/f3wajs08x4VKcySqtsXwt2NfFLptZEBERiYGLqTfu3bsXERERAg6FyDHFhEvRXKpb1BjaD2PLbmiW8Ndff2H48OH46quvDN4THh7OIqeaUKk7vh8SgMhgTwR4uSDAS4IhTT3ZiEDE5AoVZiTnY9ihHMxIzodcobL1kIiInI7J7Y769u0r5DiIHJY5bYrFdBZPVRqNBtu2bUNMTAyKi4uRlpaGvn37IiQkxNZDE41QqTu+HfCorYdBFmCPDUiIiJyRyTM6RFR3lW2KD0QGYEvf+gbf7Jgz+2NPbty4gbfeegvFxcUAAIVCgRdffBFqtdrGIyNL40xF7YwtQSUiIuthoUNkRypnf8a18EbvIA+Ma+Etik+Bg4ODsWTJEp1r7u7uKCoqstGISAiV5/0kZChxMqscCRlKDD2Yw2KnGrEvQSUichT2e1IfkZMS64GI//znP/Hdd9/hwoUL+OCDDzB16lSnbxvtaN44W1ijYUJmiQZvnC3ksrsqxLoElYjI0bDQISKzqFQquLvXnGFycXHBhg0boFKp0KxZM+sPjAR3IVf/zI2h687KFgfyEhFRTSx0iMgkBQUFiI6OBgBs3bpV7z1NmjR5qOewxmGp9vCc4qUx87rw7PH3Z4sDeYmIqCaDhU5CQkKdAvKcHXJm9vimyxJ+++03TJ06FXK5HAAwfPhwjBw50qLPYYtOVeyOZZ7uAR44eL1M73VbMPb7szWxLkElInIkBgudmTNnmh1MIpE4TKFTWFhoV3GqUiqVFo8pxriAfeX3WnEFnjlZCnnxg0+3U26X4qu/eyHE11W0+a2oqMC0adO0RQ4ALFiwAB06dEBAQIDZMQ2Nd/H5Ur2dqhafy8fa7l51jmuMKc/pLK9fU+Iuau+B33KBG1Weook3sKi9S51/FnPHe624AisuqXBbqUZmiabGnqHK319M6P38Vr2/obcLotu7I8S37ntlxPbvWKi4YnvtiikuwPwKGRdgfoWMC1g/vzKZzOBjBgud1NTUhxuRyBlLmqmys7MtEkcfxrW//K69mK9T5ACAvFiDtenAlr6yOsc1hdD53bJlCyIjI6FS3d+L0aRJE0gkkjo/r77vy1OV6703X+Vi8vOYOx5Tn9MZXr+m6CST4eBQlcWXZJk6XrlChamn82oUp9Xlq+43FC1w8al2vxppBZqHnrET2+/N0nHF+NoVU1zmV9i4zK+wce0tvwYLnebNmz/UYIicjSO3lO3WrRuWLVuGV155BdOnT8cHH3wAT09Piz6HLTpVsTuW+Wy5JEvf+TT6VP7+jJ1nw2VlRESOj80IiCzE0d80P/fcc2jXrh0ef/xxQeLbolMVu2OJi6EPE6qq/P2VZ+U59IcPRERUO7MKndzcXHz99de4ePEi7t69W+PUc4lEgj179lh0gERiIfY3zRqNBjt37sSYMWP0to+WSCSCFTmAbTpVsTuWuBj6MCGknitC67nq/P7Ssxz/wwciIjLO5ELnP//5D4YOHYqioiK0aNECV65cQVhYGO7cuYOcnByEhoaiUaNGQo6VyK6J+U3z3bt3MXfuXBw4cAAXL17E0qVLbTIOWyyLYncs8TD0YYKhPTdi//CBiIgejsmFzrvvvgt3d3ecPXsWjzzyCFq1aoX4+Hj07dsXO3bswFtvvYXt27cLOVYiuyfGN80ZGRmYMGEC0tPTAQAff/wxunXrhi5duth4ZFTJUduWm8vcDxPE/OEDERE9PJMLnbNnz2L27Nlo3rw57ty5A+D+UhcAmDhxIs6fP4/Fixdj3759woyUiAQhk8lqtG185513sGvXLhuNiKriWT+6zP0wQYwfPhARkWW4mHpjeXm5dmlaZbelqn2yO3fujF9++cXCwyMSnlyhwozkfAw7lIMZyfm4VizcRuXqzyVXqAR7LlM1aNAAX375pfbfdefOnfH999/Dw8M2h0CSLmOdw4iqsse/L0REtmTyjE5wcDBu3LgBAPDx8UHDhg1x4cIF7enoly9fho+PjzCjJBKIvk/LU25LsD9SVadPy40tMbpWXFHjDBB7+WT+b3/7G5YvX45z585hxYoV8Pb21i5lI9ti5zAyhaGZvy+e8EAnYY60ICKyeyYXOr1798bBgwexaNEiAMDYsWPx8ccfo6ioCGq1Gt988w0mT54s2ECJhKDv03J5saZO52zUtsRoxSWVXZ/pMXXqVDz77LOQSCS2HgpVwc5hZApDM38rLqmwvbGNBkVEZGMmFzrz5s3DL7/8grKyMnh6eiImJgb5+flISEiAi4sLRo8ejffff1/IsRJZnCU/La/tcMLbSrXe77PWJ/MXLlzAJ598go0bN8LNTf8/fRY59oedw8gUhv6WZRv4u0NE5AxMLnRCQ0MRGhqq/drLywsbN27Exo0bBRkYkTVY8tPy2oqmht4uAGq+6bDGJ/OJiYmYM2cOysrKIJPJsHz5csGfkyyDncPIFIb+lgV6m7wVl4jI4Zh1YCiRo4kJl+JMVikySzTaa429UKdPy2srmqLbuyOtQGP1T+a/+uorvPjii9qvt2zZgrCwMMycOVPQ5yXLYecwqo2hmb/o9iyIich5mfxRT0xMDLp3727w8R49euC9996zyKCIrKracq26rt6KCZeiuVS32KlayIT43j/YcFwLb/QO8sC4Ft5WaUQwcOBABAcH61zLzs4W9DmJyLoqZ/6q/30J8eVeLiJyXibP6Pzwww/aDmv6jBgxAvv378c777xjkYERWUNsqgKZxbrLyW4oUacGAaYsMbLFJ/OBgYHYsWMHBg8ejLKyMqxduxaTJk2y6hiISHj6/r5UOQWCiMjpmFzoZGZm6uzRqS4kJASZmZkWGZQ9KLTQ/ztYKk5V1Q93dNa4wMPn9/rdMr3XM++W1Sm2H4AVXV0B/O9TVHWJ9o2GLfPbtGlTrF+/Hr6+vujRo4fJPxtfv/b9+tVHbHlgfsUZl7nla1escQHmV8i4gPXzK5MZ7qFvcqEjlUpx7do1g4/L5XJ4eXmZGs7uGUuaqbKzsy0SRx/GtUx+mz5SgbO5Nf/xBD/iKciYbZnfqKgos2KK7fV7rbgCay9W6D3D6GHZ6+vXEMZlfoWMy9wKG5f5FTauGPNb4OJj8Iy+h+EM+TV5j07v3r3x+eef4+bNmzUey8zMxLZt29C7d2+zB0BkS/r21YT6SkTZuvfXX3/FSy+9hHv37tl6KFYnV6jwzMlSJGQocTKrHAkZSkQdzuPJ8EREJGrXiisQdTiP//9WRybP6Lz55ps4evQoevXqhWeffRZt27YFAFy+fBlfffWV9h4iMdG3r2ZeGETXujc5ORlTpkxBUVERNBoN1q1b51Rn4sSmKiAv1uhcs6fDWImIiOrC3g8bt3cmFzqtWrXCwYMHER0dXePsnF69eiE+Ph5t2rSx+ACJhFZ9A68Qa0uFdOLECcyYMQPl5eUA7reTbtCggVN1QbTkwa9ERET2wtaHjYudWefodOzYET/88AOys7Nx9epVAEDz5s0RGBgoyOCIqHZt2rRBYGCgTjMQV1dXaDQap5nVeZiDX+UKlSBrn4mIiB6WLQ8bdwR1OjA0MDCQxQ2RnWjUqBH27t2LwYMHIzc3F++//z5eeuklWw/LqmLCpUi5XaqzfM3YYayVxU3GXRX+U3APxVW2NV3IKbfK+UZERCQsfR9kiY2tDht3FAYLnXPnzgEAevbsqfN1bSrvJyLradWqFXbv3o1Lly5h8uTJth6O1YVK3fHV372wNh0GzzCqJFeoEHU4r8aa50pc+0xEJH76/tZfyCnH6tYShNlwXOaqPGzc2Bl9ZJjBQmfw4MGQSCTIysqCh4eH9mtDKpfJ5OfnCzJQIjKua9eu6Nq1q62HYTMhvq7Y0rf21pOxqQqDRU4lrn0mIhI3fX/rryoq8PE1N0R0ttGg6sgWh407CoOFzt69ewEAHh4eAICkpCSnWe9PZI/KysqwadMmzJ07F+7u1v8kx1H2shhqXFAV1z4TEYmbob/1OeUmn6xCDsBgodO3b1+dryMiIoQeCxEZoFAo8MwzzyA5ORl//PEHNm/eDBcX6/2xNrQEQIx7WQw1LqjEtc9EROJn6G99gIf+LmbkmEx+pzRq1Cj861//Mvj4yZMnMWrUKIsMiogeyMvLw8iRI5GcnAwASEhIwOuvvw6NRlPLd1qOoSUAsakKq43BUvQdEuvrJkH3AHeMa+EtyuLNmcgVKsxIzsewQzmYkZzPQ/OISC99f+ubS10xK8T5DtV2ZiZ3XTtx4oTRTc7Z2dnaN2JEZDn37t3DnTt3dK4lJyejsLAQfn5+VhmDI51To++QWLEuw3M2jjSzSETCMvS3vjxLfB/QUd3Vqb20Pjdv3oSPj4+lwhHR/zRs2BBJSUkYPHgwsrKyEB4ejoSEBKsVOcDDnVNjj7ixU5yMzSzy90lE1en7W5+eZaPBkE0YLXQOHTqEH374Qfv1l19+iZMnT9a4r6CgAMeOHUN4eLjlR0hEaNasGfbs2YNly5Zh/fr1kEqtu4ckJlyKCznl7ONPNuVIM4tERCQ8o4XOH3/8gZ07dwIAJBIJzp49i5SUFJ17JBIJfHx80LNnTyxdulS4kRIJpHo3sXlhQKfauxRbXfv27bF9+3abPDeXe1mXo3S4szRHm1kkIiJhGS10oqOjER0dDQDw9/fHhg0bMG7cOKsMjMga9K35T7ktwf5IlU3eWP7+++9o3749XF3t740bl3tZB/ehGMaZRSIiModJe3RKS0uxefNmtGzZUujx2I3CwkK7ilOVUqm0eEwxxgUePr+Lz5fWWPMvL9Zg8bl8rO3u9VCxq6stDydPnsQ///lPDBkyBCtXrjS52LHn/OojtteZtfOr7zV5VVFh8mtSbHkwJ64fgC+e8MCKSypkK9UI9HZBdHt3+KlLoO+lytevcHGZW/7tFWtcgPkVMi5g/fzKZIaX4ZhU6Hh5eeGll17CsmXLnGYfjrGkmSo7O9sicfRhXMvkN09Vrvf66Rw1ppwut/iyIUPjTU5OxvPPP4+ysjIkJSXBzc0NmzZtgpubaf1C7DW/hjBuzfxWLlc7nqV/v0m+ysXkcYgpD+bG7SQDtjeu/T6+foWLy9wKG5f5FTYu8ytsXHvLr8ld11q2bInbt2+b/QRE9szQmv+cUjVysu4XQUIvG7p37x6io6NRWlqqvZaQkIAJEybg6aefFuQ5AfP3gXDfiHD0LVerjvtQiIiIzGPygaGvvPIKtm7diitXrgg5HiKr0negWHVCH4zp5uaGhIQEBAcHa6/FxcUJXuREHc5DQoYSJ7PKkZChRNThPIOHL5p7P5lHX9vkqrgPhYiIyHwmz+ikpKSgQYMGePLJJ/H444+jefPm8PLSXS8ukUiwbNkyiw+SSCjVu4n9p0CFnFJNjfuEbl/brFkzfPfddxg+fDhmzZqF2bNnC/p85p5HwvNLhGWobbLMXYKBTb04e2ZFnLkkInIcJhc6W7Zs0f7vkydP6j1Ph4UOiVHVbmIzkvORkFFzw5s1lg01a9YMp0+ftsoZOeaeR8LzS4RlaAnlwKZeLCStiB3viIgci8mFTm5urpDjILILMeFSpNwuhbz4wayONZcNWesgUHPPI+H5JcJi22T7wJlLIiLHYvIeHVdXV5P+IxKzUKk7vvq7F8a18EbvIA+Ma+Ft0U9zz507h5dffhn37t2zSLy60rc3ydgba3PvJ/NULqEU6nVHpuHMJRGRYzF5RqfSzz//jJ9//hm5ubmYPXs2wsLCUFxcjH//+99o27atYC3liKq7oZQgPjnf4mvpQ3xdsaWv5V/HaWlpmDJlCu7evQuFQoHNmzeb3D7a0qrvTQqqJX/m3l9Xzrw/ggey2h5nLomIHIvJ77JKS0sxdepUHD16FBqNBhKJBCNHjkRYWBjc3NwwefJkvPDCC3jttdeEHC8RgPtviF/8wxOZpQ/209jzWvo//vgDzz77LO7evQsASExMhFqtxqeffgoXF5MnVi3K3DfWQr8R5/4IsjUuISQiciwmv8OKjY3FiRMnsHHjRqSlpUGjebCHwdPTE1FRUTh06JAggySqLjZVgcxS3Zevk462NQAAIABJREFU0G2gH4aLiws8PT11rrVt29ZmRY49MrY/gsgauISQiMixmPwuKykpCc8//zwmTpwIX1/fGo+HhYXhr7/+suTYiAwS21r6du3aYffu3WjWrBkAYMGCBZz9rEZsv1NyTJUzlwciA7Clb30WOUREImZW17V27doZfNzV1VXnZHciIYlxLX1ISAh++OEH7Ny5E/PmzYNEIrH1kOyKGH+nREREZL9MntFp0qQJ/vzzT4OPnzt3Ds2bNzfryU+dOoWJEyeiXbt28PPzw9dff63z+OzZs+Hn56fzX/XT4svKyrBw4UK0aNECjRs3xsSJE3Hjxg2de65fv44JEyagcePGaNGiBV577TWUl5ebNVayLzHhUgR7qXWuiWEtfVBQEObPn88iRw92diMiIiJLMrnQGTduHLZt24aUlBTttco3a9u3b0dSUhImTZpk1pMXFxejffv2WLp0Kby9vfXeExERgStXrmj/S0hI0Hl80aJFOHDgAD799FMcPHgQCoUCEyZMQEXF/eUuFRUVmDBhAoqKinDw4EF8+umn2L9/P9566y2zxkr2JVTqjvUdyuxyLX1ZWRnUanXtN5KOUKk71j8pQ0g9V8jcJQip54r1T8oE/53KFSrMSM7HsEM5mJGcD7lCJejzERERkXWYvHTt1Vdfxfnz5zFkyBC0bt0aEokEb775JgoKCnDz5k0MGDAAc+bMMevJBw4ciIEDBwKAwe/19PREw4YN9T5WWFiIL7/8Ehs2bEC/fv0AAJs3b0anTp1w4sQJ9O/fH8eOHcPly5fx+++/Izg4GADw3nvvYd68eXj77bfxyCOPmDVmsh9NvDXY0tm+2vGqVCpMnToVjz76KNasWWOz9tFiJFeo8OKpQlwruv8hRaGqAi+eKsTeQW6CFTvs9EZEROS4TJ7R8fDwQGJiItatW4emTZuiRYsWKCkpQZs2bbB27Vrs2LFDkANDz5w5g1atWuGxxx7DvHnzkJOTo33s4sWLUKlUeOqpp7TXgoOD0aZNG5w7dw4AkJKSgjZt2miLHADo378/ysrKcPHiRYuPl5yXWq3G3LlzcfjwYXz99dd47rnnUFZWZuthiYYtuq6x0xsREZHjkhQUFGhqv014TZo0QXx8PKZMmaK9lpiYCG9vb4SGhuLatWuIjY2FWq3GiRMn4OnpiYSEBMyaNQu5ubk6ex6GDx+Oli1b4qOPPsL8+fORkZGBAwcOaB/XaDR49NFHsXnzZowdO1bveNLT04X7Yckhbd68GVu3btW5Nm7cOHZXM9GsNE/8crfmhyWPySrwcSdhCkZbPKcpbigl+PiaG3LKXBDgqcaskHto4m0Xf6qJiIjsSlhYmMHHTF5XM3/+fIwZMwa9e/e22kbqMWPGaP93hw4d0LVrV3Tq1AmHDx/GiBEjBH1uY0kzVXp6ukXiVFdYWAiZTOb0ce0tv9OmTcPBgwdx8+ZNAECzZs3w/vvvIygoSBu3wMUHsakK3CqpQCOf+xvtH3aJlKPkt8XNfPxyV1nzeoN6CAsLqXNcY0x5TmvnV65QYYHOcjpXXCn1Mnk5ndj+HTvK69eZ4jK3wsZlfoWNy/wKG9fe8mvy0rWEhARERUWhXbt2eP3117VLw6ypUaNGaNy4MTIyMgAAgYGBqKioQF5ens59OTk5CAwM1N5TdbkbAOTl5aGiokJ7D5EldOzYET/++CPat2+PgIAAJCUlaYscALhWXIGow3lIyFDiZFY5EjKUiDqcx83v/2OLrmv22OmNy+mIiIgsw+RC5//+7/+wdetWdOvWDV988QUiIyPRqVMnvPPOO1bb65KXl4dbt25pmxN07doV7u7uOH78uPaeGzdu4MqVK+jZsycAoEePHrhy5YpOy+njx4/D09MTXbt2tcq4yXk0adIEhw4dwr59+2q0W19xSSXqN7BCdyezxan0tnjO2vDgVCIiIssweemaj48PRo8ejdGjR6OoqAjfffcdkpKSsGnTJqxbtw4tWrTA6NGj8eabb5r85EVFRdrZGbVajczMTKSlpcHf3x/+/v5YunQpRowYgYYNG+LatWtYsmQJAgICMGzYMACATCbDs88+i3feeQcBAQHw9/fHW2+9hQ4dOiAiIgIA8NRTT6Fdu3aYNWsWYmNjcefOHSxevBhTp05lxzUShEwm0zu9elupv+W0GN7AWqs7WeWp9NZki+c0hgenEhERWYbJMzpV1atXDxMnTsTOnTvx559/Ii4uDtnZ2VixYoVZcX799Vf06dMHffr0gVKpRFxcHPr06YMPP/wQrq6uuHTpEiZPnoxu3bph9uzZaNWqFY4cOQKp9MGykri4OAwdOhTPPfccBg8eDF9fX50OcK6urti5cyd8fHwwePBgPPfccxg+fDhiY2Pr8qMTAQBKSkqg0Zi3ObyegY8V6rnZ/+GhXE5lPfa4nI6IiEiM6nzIR1lZGY4cOYKkpCQcOXIExcXFCAmpfcNwVb1790ZBQYHBx/fs2VNrDE9PTyxfvhzLly83eE/Tpk2xc+dOs8ZGZEhZWRnGjh2Lli1bYtWqVXB3N21Gw1ATDyv19ngoXE5lPZXL6WJTFcgqqUCQhZpWEBERORuzCp179+7hp59+wp49e3Do0CEoFAo0atQIzz77LMaMGYNu3boJNU4iq7lWXIG1F/P1dkZTq9WYM2cOTp8+jdOnT+PmzZv4/PPPTVoGqVDpnwEydN2ecDmVddnbcjoiIiIxMrnQefHFF/H999+joKAADRo0wNixYzF69Gg8+eSTVms3TSQ0uUKFZ06WQl78oPiouhclPj4eiYmJ2sd++uknvPPOO1i9enWtsRt6uwCouU9HDMVCTLgUF3LKdZavcTmVZckVKou3HiciInJmJhc6Bw4cwNChQzFmzBhERERo98AQOZLYVIVOkQM82IuypW99jB49Gt9++y3kcjmA++ctLV682KTY0e3dkVagEWWxwOVUwrJWswciIiJnYnKhk56eDg8PDyHHQmRzte1Fad26NX788UdMmDABmZmZSEhIgL+/v0mxQ3xdRV0scDmVcIw1e2DOiYiI6sbkQodFDjkDU/aiBAYG4rvvvsP169fRrFkzs+KzWCB92OyBiIjI8gy2lx4xYgSSk5PNDpicnIwRI0Y81KCIbCUmXIpQX909Z/qWl/n6+qJt27bWHBo5MDZ7ICIisjyDMzqtWrXCuHHjEBwcjNGjR6Nv377o2rWrzhk2AKBQKHDx4kWcOHECe/fuRWZmJp599lnBB050QylBfLL+7mh1FSp1x1d/98LadOBG/l009quHt7vJRLO8jMSJzR6IiIgsz2Chs2rVKrz00kvYuHEjPv30U6xatQoSiQT+/v7w8/ODRqNBQUEBCgoKoNFo4O/vj3HjxmHWrFlmL+chMpdcocKLf3gis1SpvWapzdshvq5Y38sLo0Y9A0mTJgh6Yv3DDpfIKDZ7ICIisjyje3SaN2+O5cuX44MPPsCpU6eQkpKC9PR05OfnAwDCw8PRunVr9OzZE48//rjJBycSPazYVAUyS3VXXlpq83bVs3IA4ObNm/j666/h5+f3UHGJjOH+LSIiIssyqRmBh4cH+vXrh379+gk9HiKTCLl5e926dTpn5Zw6dQoxMTFYv54zO0RERERiYXLXNWdTWFhoV3GqUiqVtd/k4HEbuNc8eBMA6rurHzrn/fv3R2JiovasnJYtW2LhwoUPHVdM+a3E1y/zK9a4APMrZFzmlq9dscYFmF8h4wLWz69MJjP4GAsdA4wlzVTZ2dkWiaOPs8dd0tMHv+Rk6Sxfay51xZKe9SF7yH0NHTt2xPHjxzFt2jRcvnwZiYmJCA0NfdghAxBPfgG+foWOy/wKG5f5FS4ucytsXOZX2LjMr7Bx7S2/LHRINOQKFWJTFQ+6rLUsx09Kf0E2b9evXx+JiYm4du0am2sQERERiRALHRIFuUKFqMN5Ou13z3h54PthwnWmcnd3R8uWLQWJTURERETCMnhgKJE9iU1V6BQ5AJBZ6oLYVIWNRkT25lpxBWYk52PYoRzMSM6HXKGy9ZCIiIjIhjijQ6IgVJe1zz77DL///juWLl0KT0/Ph4pFtiNXqPDMyVLIizXaa5Y6V4mIiIjEiTM6JAqNfFz1Xg8ycN0Uv/zyC9544w18/vnniIyMxLVr1+oci2wrNlWhU+QAD85VIiIiIudkdEZn1KhRZgWTSCTYs2fPQw2ISJ+YcCku5JTrLF9r6KFGsUqNYYdy7jcnMKMZQV5eHv7xj3+gvLwcAJCamophw4bhwoULgoyfhCXkuUpEREQkTkYLnRMnTsDb2xtNmzaFRqMxdiuRoEKl7tg7qAFiUxXIKqlAPTcJfs1W4uD1Mu095ixVysvLg7u77n1LliyBh4cHruQWYe3F/Afd3SzYzY2EIcSMHxEREYmb0UInODgYmZmZcHV1xfjx4zFmzBg0bdrUWmMjJ1GjbbSBwiJU6o4tfesDAGYk5yOrXHflZeVSpcp7jGndujWOHz+OWbNm4YcffsCcOXMQFRXFvR4iFRMuRcpt3d9bc+n91xIRERE5J6N7dH7//XccOnQITzzxBNavX4+uXbsiMjIS27ZtQ0FBgbXGSA6ssm10QoYSJ7PKkZChRNThvFo7ZlliqZKfnx+++eYbbNy4Ee+99x4A7vUQq1CpO776uxfGtfBG7yAPjGvhzeKUiIjIydXajKBXr15YsWIFrly5gm+++QbBwcGIiYlB69atMXHiRCQmJkKpVFpjrOSA9LWNNqWwsNRSJRcXF0yePFm7jI17PcQrxNcVW/rWx4HIAGzpW59FDhERkZMzueuaq6srBg0ahC1btuDPP//Ehg0bUFBQgBkzZmDt2rVCjpFESK5Qac80mXe+1OAMTV0Li5hwKYK91DrXLLFUiXs9iIiIiByD2efolJWV4ciRI0hKSkJqaiq8vLwQGhoqxNhIpCqXo1WdqUkryNO7lKiuhUWo1B3rO5Th6zv1kVVSgaBamgZ8++23GDVqFLy8vIzG5V4PIiIiIsdgUqGj0Whw/PhxJCQk4Pvvv4dSqURERATWrVuHYcOGwdfXV+hxkogYW45WvVGAvrbRphYWTbw12NK59sYDX3zxBebNm4ePP/4Y27dvR7NmzQzeW7nXY206TCqgiIiIiMg+GS10Lly4gISEBOzduxe5ubno3r07Fi9ejFGjRqFBgwbWGiOJjDnL0aq3jbZ0YXHx4kUsXLgQAPDbb78hIiIC27dvR9++fQ1+z/29HjKLPD8RERER2YbRQmfAgAHw9vbGgAEDMGbMGISEhAAArl+/juvXr+v9nq5du1p+lCQq5i5Hq9o22tKWLFmCsrIHZ+2Ul5cjICBAkOciIiIiIvtR69I1pVKJ/fv348CBA0bv02g0kEgkyM/Pt9jgbKmwsNCu4lQlVJc7S8WdFwak3Jbo7HMJ9ZVgXpjl81FbvDVr1iA6OhqHDx8GAHz44Ydo0qSJ0e+z9/xaKy7gnK/fqq4VV2BZWilyVSVo6O2C6PbuCPG1XGMKZ8+vkHEB5lfIuMwtX7tijQswv0LGBayfX5nM8Coco4XOmjVr6j4ikTOWNFNlZ2dbJI4+9hy3kwzYH6nSLker767Gkp6Wb/drSn5lMhl27NiBdevW4caNG5g2bZpJse05v9aK66yv30pyhQpTT+fhqkIDQANAjbQCjcXO53H2/Aodl/kVLi5zK2xc5lfYuMyvsHHtLb9GC52pU6fWeTDk3KouRyssLITMhpv5JRIJ5s2bZ7PnJ3Eyp6kGERER2R+Tz9ExRqPR4MSJE5gzZ44lwhER2RwPjyUiIhI3s8/Rqeq3335DQkIC9uzZg1u3bsHNzQ0bN2601NiIzFJWVga1Wg1vb29bD4UcAA+PJSIiEjezZ3SuXbuGVatW4fHHH0e/fv2wfft2dO/eHZs2bcKff/4pxBiJTLJo0SIMGDAAV69etfVQyAHEhEvRXKpb1PDwWCIiIvEwaUanoKAAe/fuxc6dO5GSkgIPDw/06NEDV65cwYYNGzBixAihx0lk1LfffovPPvsMANC3b19s3rwZkZGRNh4ViVnlGU+Lz+UjX+XCw2OJiIhExmihs2/fPuzatQtHjx6FWq1GREQENmzYgKFDhyInJwePPfaYtcZJZNClS5fwyiuvaL++e/cu3nrrLfTv3x8eHh42HBmJXajUHWu7ewnWQYaIiIiEY7TQmTZtGkJDQ7F06VKMHDkS9es/6DSUm5sr+OCITNG0aVMMHDgQ+/btAwB4eXlh27ZtLHKIiIiInJjRPTqNGzeGXC7HZ599hi+//BLXr1+31riITCaVSrFt2zZ88MEHcHV1xcqVK9G5c2dbD4uIiIiIbMhoofPvf/8b+/btQ5cuXbBy5Up06dIFAwcOxCeffILbt29ba4zk4OQKFWYk52PYoRzMSM6HXKEyO4ZEIsHcuXORkpKCKVOmCDBKIiIiIhITo0vXJBIJ+vTpgz59+mDlypU4ePAgdu3ahZiYGNy7dw8SiQSnT59Gt27d0LhxY2uNmRyIXKFC1OE8nYMZL+SU1/n0+ZYtW1pyeEREREQkUia3l/b09MSoUaPw7bff4sqVK4iPj0f37t2xefNmdOzYEX379sXSpUuFHCs5IGOnzxMRERER1ZXZ5+gAgL+/P6ZPn47Dhw/j119/xeuvv47i4mLEx8dbenzkgKouVTtxs1TvPYZOn9doNIiLi8O1a9eEHCIRERERiZzRQicjI6PWAM2aNcPrr7+OCxcu4OjRoxYbGDmmyqVqCRlKnMwqR06pRu99hk6f//zzz7Fs2TL07t0bP/30k5BDJSIiIiIRM1roPPbYYxgwYAC2bNmCvLy8WoOFh4dbbGDkmPQtVavO0Onzly5dwptvvgkAKCwsxBtvvIG1a9cKMk4iIiIiEjejhc6MGTMgl8vx2muvoW3btpgwYQISExOhVCqtNT5yMLcMLEkL8HJB7yAPjGvhbbARwaefforS0gdL3Xx8fDBs2DDBxkpERERE4mW061p8fDyWLl2KY8eOYdeuXTh06BCOHDmCevXqYejQoZgwYQIiIiIgkUisNV6rKSwstKs4VQlVaFojbgN3td57nghwwdru/zvgU10CfWmLiYlBo0aNEB8fj/Lycrz++uto0KCBxXMs5vxaGl+/zK9Y4wLMr5BxmVu+dsUaF2B+hYwLWD+/MpnM4GNGCx0AcHFxwdNPP42nn34aSqUS33//PRISEpCYmIhdu3YhMDAQo0ePxvjx49G1a9e6jd4OGUuaqbKzsy0SRx+xxl3S0wdpBbrtpIN9JFDBFVNOl6ORz/1la4ZaS0dHR2Pw4MHYv38/hgwZIto8iCEuX7/CxmV+hY3L/AoXl7kVNi7zK2xc5lfYuPaW31oLnaq8vb0xduxYjB07Fvn5+dizZw92796NTZs24eOPP0ZYWBjOnTtn9iDIeYRK3bF3UAPEpiqQVVKBem4S/H5HhYPXy7T31HaOTseOHdGxY0ekp6dba9hEREREJDJ1ai8NAPXr18f06dMRFxeHyMhIaDQavvEkraotpOedL4VcodI+Fip1x5a+9XEgMgD1PFyQWay7nI3n6BARERHRwzJrRqdSRkYGdu3ahcTERPz3v/+FRCJB7969MX78eEuPj0SosoV01eVpaQV5emdpDDUnyCqpQEVFBVxd9beZJiIiIiIyxuRC5/bt20hMTMTu3btx8eJFaDQatG/fHu+++y7Gjh2Lxo0bCzlOEhF9LaQrZ2m29K2vc72RgfNypIpb6N59EGJjYzFkyBDBxkpEREREjslooXP37l3s378fu3fvxsmTJ1FRUYEmTZrgpZdewvjx49GhQwdrjZNExNgsTXXTWnsj6aoS96qcG+qqqYB880JkZGRg8uTJmDZtGj744AP4+voKNWQiIiIicjBGC53WrVujvLwc9erVw8SJEzF+/Hj07t3bIdtJk+UYmqUJ0nN925+6RQ4AVPz0Gf745UFTi23btuGxxx5Dn6iJiE1V4FZJBRr5uGKKvwRhFh05ERERETkKo4VOv379MGHCBERGRsLT09NaYyKRiwmX4kJOuc7ytebS+22jq9M7+yORQOLqBk3FPQDA008/jd4jJ9TY93PGyxPfN1cZ7M5GRERERM7LaKHz7bffWmsc5ECqt5Cu767Gkp719RYkemd/+k/HUxF9IP94IfLz87F+/Xq8/WtRjX0/maUuevf9EBERERHVqesaUW0qW0gD90/IlRmYdYkJl+LM7TKdFtPBvi5YFfl3PDopGenp6QgKCsKtX3P0fr++fT9ERERERCx0yOrkCpV2r43UTQJVhe45OtDc37Tj6+uLrl27AjBv3w8REREREQsdEkTVYqaBuxpLevogVOqu94yd6jJLNDWWpOnb9xPspda774eIiIiIiIUO1UnVQqaRz/1GA5V7cIwdGFrjjB2NBsj6L9ColU786kvSqu/7CfJxxRT/fDYiICIiIiK9WOiQ2fQVMhdyyrF3UAOESt2NHhhao8var4eAr14D+jwLDJkPeHgB0L8kreq+HwBIT8+z4E9FRERERI7ExdYDIPExVsgAxg8M1dlrczcHSIy9P6uT/AWwchxw47LBVtRyhQozkvMx7FAOZiTn44aS5zkRERERkX6c0SGzGStkAOONA3T22iQsAUoKtY9L8q9jYKgU8f+bGapK3ywSz9EhIiIiIkNY6BhQWFhY+01WjFOVUqm0eExz4jZwV+u9Xt9djcLCQswLA1JuSyAv1mgfC/WVYF4Y4KcuwdKubnj1FzXyI6ag7OZlVOTfAgC8sTAas0a0BdQlqJ62xedL9Z6js/hcPtZ29zLjp6ydrfNrL3EBx3z92ktcgPkVMi7A/AoZl7nla1escQHmV8i4gPXzK5PJDD7GQscAY0kzVXZ2tkXi6GPLuEt6+iCtQHd2pbnUFUt61odM6o5OMmB/pErvgaFyhQpvXMxDZokGaNkLWLgX9Q6uQCvlX4iOjoarq/7ZoDxVud7r+SoXQXLhiL83cznq69de4jK/wsZlfoWLy9wKG5f5FTYu8ytsXHvLLwsdMpu+DmhVu65V3qPvwNAa+3u86qFo9LtoEexisMgBeI4OEREREZmHhQ7VSfUOaKYytL8n557xlyLP0SEiIiIic7DQIauq68wMz9EhIiIiInOw0CGr0Gg0OHDgAN7oPaDGzIyhdtLV8RwdIiIiIjIVCx2yin379mHatGkIDw/H8mUfYWdJsMH9PURERERED4sHhpLg8vPzER0dDQBITU3FpCH90e/GDzgQGYAtfeuzyCEiIiIii2OhQ4Jbvnw5cnNzda797W9/s9FoiIiIiMgZcOka1Ylccf+cnFslFWhUy/KzBQsWoKioCPv37wcAvPbaa2jXrp01h0tEREREToaFDplNrlAh6rDugaEXcsqxd1ADvcVOYGAgvvjiC+zbtw/bt2/Hyy+/bM3hEhEREZET4tI1MluNQz8BXFVUIDZVYfT7Ro4ciT179sDdnXtyiIiIiEhYLHTIbIYO/cwycJ2IiIiIyNpsWuicOnUKEydORLt27eDn54evv/5a53GNRoO4uDi0bdsWQUFBGDp0KC5fvqxzT0FBAWbOnImQkBCEhIRg5syZKCgo0Lnnjz/+wJAhQxAUFIR27dph2bJl0Gg0gv98jqquh34SEREREVmLTQud4uJitG/fHkuXLoW3t3eNx9esWYMNGzZg2bJlOHbsGAICAjBq1CgoFA+WSE2fPh1paWnYvXs3du/ejbS0NLzwwgvax+/evYtRo0YhMDAQx44dw9KlS7Fu3TqsX7/eKj+jI4oJl6K5VLeoqXro544dO3Dr1i1bDI2IiIiICICNC52BAwdi8eLFGDlyJFxcdIei0WiwadMmvPzyyxg5ciTat2+PTZs2oaioCLt37wYAXLlyBUePHsVHH32EHj16oEePHli9ejUOHz6M9PR0AEBCQgKUSiU2bdqE9u3bY+TIkZg/fz42btzIWZ06CpW6Y++gBhjXwhu9gzwwroW3thHBxYsXMWfOHPTs2ROffvop1Gq1rYdLRERERE7IbvfoyOVy3L59G0899ZT2mre3N5544gmcO3cOAJCSkoJ69eqhZ8+e2nt69eoFX19fnXsef/xxnRmj/v3749atW5DL5Vb6aRxPqNQdW/rW1zn08969e5g3bx7UajXu3r2LV199FdOnT7f1UImIiIjICdlte+nbt28DAAICAnSuBwQEaJdFZWdno0GDBpBIJNrHJRIJHn30UWRnZ2vvady4cY0YlY81a9ZM7/NXzgg9LEvFqa7y57OnuN999x3S0tJ0rvXp0wfZ2dmCjdeZ8muLuMyvsHGZX2HjMr/CxWVuhY3L/Aobl/kVNq618xsWFmbwe+y20LE1Y0kzVXp6ukXiVFdYWAiZTGZ3cefNmwdvb2/ExsaiqKgIo0ePxrRp0wQbr7Pl19pxmV9h4zK/wsZlfoWLy9wKG5f5FTYu8ytsXHvLr90uXWvYsCEAICcnR+d6Tk4OAgMDAdw/iDIvL09nr41Go0Fubq7OPfpiVD5GluPq6opZs2bh7NmzGD9+POLi4mw9JCIiIiJyUnZb6ISGhqJhw4Y4fvy49lppaSnOnDmj3ZPTo0cPFBUVISUlRXtPSkoKiouLde45c+YMSktLtfccP34cjRo1QmhoqJV+GucSHByMTz75RFusEhERERFZm00LnaKiIqSlpSEtLQ1qtRqZmZlIS0vD9evXIZFIMHv2bKxZswb79+/HpUuXMGfOHPj6+mLs2LEAgDZt2uDpp5/GggULkJKSgpSUFCxYsACDBg3STpuNHTsW3t7emDNnDi5duoT9+/fjo48+wpw5c3T29pDtyBUqzEjOx7BDOZiRnA+5QmXrIRERERGRyNl0j86vv/6K4cOHa7+Oi4tDXFwcJk2ahE2bNmH+/PlQKpVYuHAhCgoK8Nhjj2HPnj2QSqXa79m6dStee+01jBnWWYefAAAgAElEQVQzBgAQGRmJ+Ph47eMymQxJSUmIjo5Gv3794Ofnh7lz5+LFF1+03g9KBskVKkQdzsNVRYX22oWccm27aiIiIiKiurBpodO7d28UFBQYfFwikWDRokVYtGiRwXv8/PzwySefGH2eDh064NChQ3UeJ+l3/vx55OfnY9CgQXWOEZuq0ClyAOCqogKxqQps6Vv/YYdIRERERE7KbvfokH0rKyvDiy++iAkTJmDatGnIysqqU5xbJRV6r2cZuE5EREREZAoWOlQna9euxZUrVwAAe/fuRc+ePWt0tzNFIx9XvdeDDFwnIiIiIjIFCx0y2507d7B69Wqda8OHD69xuKspYsKlaC7VLWqaS10REy418B1ERERERLVjoUNm8/f3R1JSErp06QIAaNCgAd5///06xQqVumPvoAYY18IbvYM8MK6FNxsREBEREdFDs2kzAhKvoPbhCHtnN4oP7UKDR3xx160e/OsYK1TqzsYDRERERGRRLHTIbDotodtH4f8ARB3O40wMEREREdkNLl0jsxlrCU1EREREZA9Y6JDZ2BKaiIiIiOwdCx0yyeHDh1FaWgqALaGJiIiIyP6x0KFaXbx4ERMnTkTPnj3x/fff462/1WNLaCIiIiKya2xGYEBhYaFdxalKqVRaPKahuGq1Gq+88go0Gg3kcjmmTJmCZ555Bl+8uQQrLqmQrVQj0NsF0e3d4acugb4fV6jxAuLPrz3HBZhfIeMCzK+QcQHmV8i4zC1fu2KNCzC/QsYFrJ9fmUxm8DEWOgYYS5qpsrOzLRJHH2vF3blzJ1JTU3WujRo1Cp0a18f2xnWPawmOkF97jsv8ChuX+RU2LvMrXFzmVti4zK+wcZlfYePaW365dI2MGjRoEGbOnAkXl/svlSFDhqB///42HhURERERkXEsdMgoPz8/xMfH4+eff0b//v3x4Ycf2npIRERERES14tI1MkmHDh2QmJho62EQEREREZmEMzpERERERORwWOgQEREREZHDYaFDOkpLS/Hf//7X1sMgIiIiInooLHRIx4YNG9CrVy+88847UCgUth4OEREREVGdsNAhrVu3bmHlypVQqVRYs2YNunXrhgsXLth6WEREREREZmOhQ1offvghSkpKtF+rVCq0bNnShiMiIiIiIqobFjqkNXDgQDRp0kT79dtvvw1/f38bjoiIiIiIqG5Y6JDW8OHDkZKSgujoaPTo0QNTp0619ZCIiIiIiOqEB4aSDl9fX8TExKCiogKurq62Hg4RERERUZ1wRof0YpFDRERERGLGQoeIiIiIiBwOCx0ndufOHWg0GlsPg4iIiIjI4rhHx4DCwkK7ilOVUql86BgajQbjx4+HRqPBe++9h44dO1okrj5CxQXsN7+OEBdgfoWMCzC/QsYFmF8h4zK3fO2KNS7A/AoZF7B+fmUymcHHWOgYYCxppsrOzrZIHH0eNm5CQgLOnz8PABg2bBimTZuGt956y27Hq48959cR4jK/wsZlfoWNy/wKF5e5FTYu8ytsXOZX2Lj2ll8uXXNCRUVFWLx4sfZrjUaDmzdvwt3d3YajIiIiIiKyHBY6Tqi4uBidO3fWfu3h4YEPP/zQhiMiIiIiIrIsFjpOqGHDhti5cyd27dqFli1bYu7cuWjZsqWth0VEREREZDHco+PEBg4ciIiICFRUVNh6KEREREREFsVCx8l5eHjYeghERERERBbHpWtERERERORwWOg4CbVabeshEBERERFZDQsdJ5CTk4OePXti+/btuHfvnq2HQ0REREQkOBY6TmDZsmVIT0/H/Pnz0bt3bxw7dszWQyIiIiIiEhQLHQeXnp6Ozz//XPv15cuXcfnyZRuOiIiIiIhIeCx0HNzFixfh7u6u/To0NBTTp0+34YiIiIiIiITHQsfBjRs3DhcuXMCkSZMgkUjw7rvvwtPT09bDIiIiIiISFAsdJxAcHIxNmzbhzJkziIqKsvVwiIiIiIgExwNDnUjbtm1tPQQiIiIiIqvgjA4RERERETkczugYUFhYaFdxqlIqlRaPKca4APMrZFyA+RUyLsD8ChkXYH6FjMvc8rUr1rgA8ytkXMD6+ZXJZAYfY6FjgLGkmSo7O9sicfQxFLegoABxcXF45ZVX0LBhQ4vFfVhCxLVFfp0pLvMrbFzmV9i4zK9wcZlbYeMyv8LGZX6FjWtv+eXSNQfz0UcfYfPmzWjf5W/o/PxiPHc4E3KFytbDIiIiIiKyKs7oOJAbN25g06aPAQAVpSW4lrgW11SeuKh4HnsHNUCo1L2WCEREREREjoEzOg5k8+bNKCsrfXDhkQDgyQm4qqhAbKrCdgMjIiIiIrIyFjoOJCYmBi3+8Tbg63//wuC5gIc3ACCrpMKGIyMiIiIisi4uXXMgHh4eeGz0c8hoOww4uxvoMUr7WJCPqw1HRkRERERkXZzRcTAx4VI0D5ABEdMA1/t1bHOpK2LCpbYdGBERERGRFXFGx8GESt2xd1ADxKYqkFVSgSCf+0UOGxEQERERkTNhoSNycoUKsakK3CqpQCMf3ZkbjQ3HRURERERkSyx0RCyjoBTDtvyMm4+21147c7sM0GiQWfKgzLmQU8720kRERETkVLhHR8ReWPUFbn4wDvj0ReBWOgAgs1itU+QAYHtpIiIiInI6LHREqqysDGnffHT/i38fB5aPut9pzQC2lyYiIiIiZ8JCR6Q+++wzlOXefHDBxQ1o/bjB+9lemoiIiIicCQsdkeratSs6h3d7cOGJCUD9JgjydqnxS3WTANNae1t1fEREREREtsRCR6Qef/xxJP/0I2LWfw6P5l0gHfICQuq5os0jrlBXu/eeBlj/72LMSM7HsEM5mJGcD7lCZZNxExERERFZA7uuidi1onv42utxlM/rgXIAiqIKZCv178U5fqsMpVUeYic2IiIiInJkLHQMKCwstKs4VSmVSgDA4vOluKrQLWxKDfQcqH79qqICi8/lY213rxpxLU2ouICw+XX2uADzK2RcgPkVMi7A/AoZl7nla1escQHmV8i4gPXzK5PJDD7GQscAY0kzVXZ2tkXi6COTyZCnKtf7mJcLUFpl/ZqnC1BWfT0bgHyVS43xCTleSxM6v84el/kVNi7zK2xc5le4uMytsHGZX2HjMr/CxrW3/LLQERGNRgOJRKL9Wuom0Xtfr0B3BPi4IaukAkE+rihWqXHwelmN+9iJjYiIiIgcFQsdkfjrr78wefJkLFy4EBEREQAAif46Bz7uLtjSt772a7lChcsFeTrL3JpLXRETLhVyyERERERENsOuayIRHx+PS5cu4bnnnsPQoUORnJyMuyqN3nsV1a6HSt2xd1ADjGvhjd5BHhjXwpuNCIiIiIjIobHQEYH09HTs2LFD+/WlS5dw8+ZNNDKw9MzYkjT9pRERERERkWPh0jUROHXqlM7XLVu2xPjx4/FEiRoXcsprXZImV6gQdVh36RrbSxMRERGRI+OMjghMmzYN586dw9ixYyGRSPDqq6/C1dXV5CVpsamKGm2oryoqEJuqsOaPQURERERkNZzREYmwsDBs3boVCxcuRGBgoPZ6qNRdp/GAPrdK9B+uk2XgOhERERGR2HFGR2TatGkDFxfzfm112ctDRERERCRmLHScQEy4FM2lukUN20sTERERkSPj0jUnULmXJzZVoT1ENCZcykYEREREROSwWOjYqW+//RZDhgyBTCazSDxT9vIQERERETkKu166FhcXBz8/P53/WrdurX1co9EgLi4Obdu2RVBQEIYOHYrLly/rxCgoKMDMmTMREhKCkJAQzJw5EwUFBdb+Ucxy5swZzJ49G126dMHKlSuhULA7GhERERGROey60AHudxu7cuWK9r/Tp09rH1uzZg02bNiAZcuW4dixYwgICMCoUaN0CoPp06cjLS0Nu3fvxu7du5GWloYXXnjBFj+KyeLi4gDcL9Lef/99zJo1y8YjIiIiIiISF7tfuubm5oaGDRvWuK7RaLBp0ya8/PLLGDlyJABg06ZNCAsLw+7du/Hcc8/hypUrOHr0KH744Qf06NEDALB69WpERkYiPT0dYWFhVv1ZTPHzzz/jX//6l861OXPm2Gg0RERERETiZPczOn/99Rfatm2Lzp0745///Cf++usvAIBcLsft27fx1FNPae/19vbGE088gXPnzgEAUlJSUK9ePfTs2VN7T69eveDr66u9x9506dIFb775Jh555BEAQEREBJ588kkbj4qIiIiISFwkBQUFGlsPwpAff/wRRUVFCAsLQ25uLpYvX4709HScPXsW6enpGDRoEH7//Xc0bdpU+z1z587FrVu3sGfPHqxcuRJffPEFfvvtN524Xbp0wT/+8Q+88sorBp87PT1dsJ/LFAqFAt988w2eeOIJdOrUyaZjISIiIiKyR8ZWaNn10rUBAwbofN2tWzd07doV33zzDbp37y7oc1tiWdvDLo8LDw8HAMgVKsSmKnCrpAKNfFwxLwzo1NjyHdQKCwst1uXNGnGFWn4otjwwv+KMy/wKG5f5FS4ucytsXOZX2LjMr7Bx7S2/dr90rap69eqhbdu2yMjI0O7bycnJ0bknJycHgYGBAIDAwEDk5eVBo3kwaaXRaJCbm6u9x97JFSpEHc5DQoYSJ7PKkZChxDMnSyFXqGw9NCIiIiIiuyWqQqe0tBTp6elo2LAhQkND0bBhQxw/flzn8TNnzmj35PTo0QNFRUVISUnR3pOSkoLi4mKdfTv2LDZVgauKCp1r8mINYlPZcpqIiIiIyBC7XroWExODwYMHIzg4WLtHp6SkBJMmTYJEIsHs2bOxatUqhIWFoVWrVlixYgV8fX0xduxYAECbNm3w9NNPY8GCBfjoo48AAAsWLMCgQYPssuOaPrdKKvRezzJwnYiIiIiI7LzQuXnzJqZPn468vDw8+uij6NatG3788UeEhIQAAObPnw+lUomFCxeioKAAjz32GPbs2QOpVKqNsXXrVrz22msYM2YMACAyMhLx8fE2+XnqopGPq97r8qIKyBUqhErdrTwiIiIiIiL7Z9eFzmeffWb0cYlEgkWLFmHRokUG7/Hz88Mnn3xi6aFZTUy4FBdyymssX7tWVIGow3nYO6gBix0iIiIiompEtUfHGYVK3bF3UAOE1Ks5s3NVUcG9OkREREREerDQEYFQqbveQgfgXh0iIiIiIn1Y6IiAXKHCtSL9BU2QgT08RERERETOjIWOnas8R0dfodNc6oqYcKme7yIiIiIicm523YyA9J+jAwA+bhKsf1JmciMCuUKF2FQFbpVUoJHP/QKJTQyIiIiIyFGx0LFzhs7RKbmnwfij+Wjr54YWj7gbLVwqZ4WqFkwXcsrZsY2IiIiIHBaXrtk5qZvE4GPF94Bfcu8hIUOJqMN5kCtUeu/TNyvEjm1ERERE5MhY6Ng5ieE6R4exwsXQrBA7thERERGRo2KhY+fuqjT/3969BzV1p30A/0KALiAlyiVcBLQgIo437CuIW0R3NShTsAKV1VarXNSqXbdFxS7WHUTxVlrtoo6gYhWtl6K4OqvrqFXAWrdVK1VqpVbFC3LRYLgol/D+4UteAwmiJRxy/H5mnCG/c/KcJw8ZD09+5/zS5n11NS6OOlZm44ptRERERCRWbHQ6OV1Nija6GpcEHyv0tNLcxhXbiIiIiEjMuBiBDhUVFYLHuVnVgAfVj/GKMfBY1fq+xgDCnVVajycF8KW/GVZfrkNJjQr25saI8zaFVFWNp3evqal54Vxbo6+4QPv9np5maHVgfQ0zLsD66jMuwPrqMy5ry/euocYFWF99xgU6vr7W1tY6t7HR0aG1orVVSUnJc8dpWgb6N2U9Ch7Uo6q+bZeuqQBk/AbIPbQfr581sNXp2XHa43V3VNwXqW9bMS7rq++4rK9+47K++ovL2uo3Luur37isr37jdrb6stHpRLQtA92caxcJ7lQ1QFv/832Z9lXXiIiIiIheNrxHpxPR9eWgT3PrIoG1zq++afvCBUREREREYsZGpxPRtQz00xwsJPCx0b7owP/YmbV3SkREREREBomXrnUiz1phrWmltIdKJQoePsatqv9foaC7pTGSffVzTSQRERERkaFho9OJJPhY4fvSWo3L1yxNgD5SE/R81RQJPlZwszJFhUqCQ2NskXROieLqBjhYSNTbiIiIiIiIjU6n4mZliv1ymzY1MG5Wpkgb3k2ALImIiIiIOj82Op0MGxgiIiIiot+PixEQEREREZHosNEhIiIiIiLRYaNDRERERESiw0aHiIiIiIhEh40OERERERGJDhsdIiIiIiISHTY6REREREQkOmx0iIiIiIhIdPiFoTpUVFQIEudmVQNWX67DvRoVZObGiPM2haulRGOfmpqadsmtOUOLC7Tf7+lphlYH1tcw4wKsrz7jAqyvPuOytnzvGmpcgPXVZ1yg4+trbW2tcxsbHR1aK1pblZSUPFecG8o6TD5djt+UDf83osJFRSP2y23gZmXa7vlpY0hxn7e+z4NxWV99x2V99RuX9dVfXNZWv3FZX/3GZX31G7ez1ZeXrnUiSeeUTzU5T/ymbEDSOaVAGRERERERGSY2Op3I3eoGrePFOsaJiIiIiEg7NjqdiKOFROu4g45xIiIiIiLSjo1OJ5LgY4WeVppNTU8rCRJ8rATKiIiIiIjIMHExgk7EzcoU++U2SDqnRHF1AxwsnjQ5zRciICIiIiKi1rHR6WTcrEyRNryb0GkQERERERk0XrpGRERERESiw0aHiIiIiIhEh40OERERERGJDhsdIiIiIiISHTY6REREREQkOmx0iIiIiIhIdNjoEBERERGR6LDRISIiIiIi0WGjQ0REREREomMidAKdVUVFRaeK87Sampp2j2mIcQHWV59xAdZXn3EB1lefcQHWV59xWVu+dw01LsD66jMu0PH1tba21rmNjY4OrRWtrUpKStoljjaMy/rqOy7rq9+4rK9+47K++ovL2uo3Luur37isr37jdrb68tI1IiIiIiISHTY6REREREQkOmx0iIiIiIhIdNjoEBERERGR6LDRISIiIiIi0WGjQ0REREREosNGh4iIiIiIRIeNDhERERERiQ4bHSIiIiIiEh0jhULRKHQSRERERERE7YkzOkREREREJDpsdIiIiIiISHTY6BARERERkeiw0SEiIiIiItFho0NERERERKLDRkcP0tPT0b9/f8hkMgwfPhynT58WOiVRSElJwYgRI+Di4gJ3d3dMmDABly9fFjot0UpJSYFUKsW8efOETkU0iouLMWPGDLi7u0Mmk8HX1xe5ublCpyUKDQ0NSEpKUv/f279/fyQlJaG+vl7o1AxSXl4eIiMj0adPH0ilUmRmZmpsb2xsRHJyMry8vODg4IDg4GAUFBQIlK3haa2+dXV1WLx4Mfz9/eHk5ITevXsjOjoaRUVFAmZsWJ71/n3a3LlzIZVK8cUXX3RghoatLfUtLCzEO++8A1dXVzg6OiIgIABXrlzp8FzZ6LSzrKwsxMfH46OPPsKpU6cwZMgQRERE8D+odpCbm4uoqCgcOXIEBw4cgImJCcaNG4cHDx4InZro/Pe//0VGRgb69u0rdCqioVAoIJfL0djYiN27d+O7777DypUrYWdnJ3RqovD5558jPT0dK1aswNmzZ7F8+XKkpaUhJSVF6NQMUlVVFby9vbF8+XKYm5u32L5mzRqkpqZixYoVOH78OOzs7PDWW29BqVQKkK3haa2+1dXV+PHHHxEXF4eTJ09ix44duH37NsLDw9m4t9Gz3r9NsrOz8cMPP8DR0bEDszN8z6rv9evXIZfL4ebmhgMHDuDbb79FQkICLC0tOzxXfo9OO/vTn/6Evn37Yu3ateoxHx8fhIaGYvHixQJmJj6VlZVwdXVFZmYmxowZI3Q6olFRUYHhw4dj7dq1WLFiBby9vbFq1Sqh0zJ4iYmJyMvLw5EjR4RORZQmTJiArl27YsOGDeqxGTNm4MGDB9i1a5eAmRk+Z2dnrFy5EpMmTQLwZDbHy8sLMTExiIuLAwDU1NSgV69eWLJkCaZOnSpkuganeX21+fnnn+Hn54e8vDx+APWcdNX35s2bkMvl2L9/P8LDwxEbG4s5c+YIlKXh0lbf6OhoGBkZIS0tTcDMnuCMTjuqra3FhQsXMHLkSI3xkSNH4rvvvhMoK/GqrKyESqWCVCoVOhVRmTt3LkJDQxEQECB0KqJy6NAhDB48GFOnToWHhwf++Mc/YuPGjWhs5GdN7cHPzw+5ubn45ZdfADz5wzAnJwejRo0SODPxuXHjBu7du6dxrjM3N4e/vz/PdXrSNFPG8137qK+vR3R0NOLi4tC7d2+h0xEVlUqFw4cPo3fv3ggLC4O7uztGjBiBrKwsQfIxEeSoIlVeXo6GhoYWl6LY2dmhpKREoKzEKz4+Hv369cOQIUOETkU0tm7dimvXrmHjxo1CpyI6169fx6ZNm/D+++9j7ty5yM/Px4IFCwAAsbGxAmdn+ObOnYvKykr4+vpCIpGgvr4ecXFxiI6OFjo10bl37x4AaD3X3b17V4iURK22thYJCQkICgqCs7Oz0OmIQnJyMrp164aoqCihUxGd0tJSVFZWIiUlBR9//DEWL16MU6dOISYmBpaWlpDL5R2aDxsdMkgff/wxzpw5g8OHD0MikQidjihcvXoViYmJOHz4MExNTYVOR3RUKhUGDRqkvoR1wIABuHbtGtLT09notIOsrCx89dVXSE9Ph5eXF/Lz8xEfHw9XV1dMnjxZ6PSIXkh9fT1iY2NRUVGBnTt3Cp2OKOTk5GDHjh3IyckROhVRUqlUAICxY8di9uzZAID+/fvjwoULSEtL6/BGh5eutSMbGxtIJBKUlpZqjJeWlsLe3l6grMRn4cKF+Prrr3HgwAH06NFD6HRE4+zZsygvL4efnx9sbGxgY2ODvLw8pKenw8bGBo8fPxY6RYMmk8laXCLh6emJW7duCZSRuHzyySeYPXs2wsLC0LdvX0RGRmLWrFn47LPPhE5NdGQyGQDwXKdn9fX1iIqKwqVLl5CdnY1u3boJnZIo5Obmori4GL1791af64qKirB48WJ4e3sLnZ7Bs7GxgYmJSac533FGpx2ZmZlh4MCBOHHiBMaNG6ceP3HiBEJCQgTMTDwWLFiAffv24V//+hc8PT2FTkdUgoODMWjQII2xWbNmwd3dHR9++CHMzMwEykwc/Pz8UFhYqDFWWFgIFxcXgTISl+rq6hazuxKJRP3pIrUfNzc3yGQynDhxAj4+PgCAR48e4dtvv0ViYqLA2YlDXV0dpk2bhoKCAhw8eFDdXNLvFx0djdDQUI2xsLAwhIWFYcqUKQJlJR5mZmbw8fHB1atXNcaFOt+x0Wlns2bNwvTp0zF48GD4+vpi8+bNKC4u5io07SAuLg67du3C9u3bIZVK1deJW1paokuXLgJnZ/ikUmmLG10tLCzQtWtXfsrVDt5//32MHj0aq1evxvjx43Hx4kVs3LgRixYtEjo1UQgKCsLnn38ONzc3eHl54eLFi0hNTUVkZKTQqRmkyspKXLt2DcCTS1Fu3bqFixcvomvXrnBxccHMmTORkpKCXr16wcPDA6tXr4alpSXCw8MFztwwtFZfR0dHTJkyBefPn8fOnTthZGSkPt+9+uqrrS6XTE886/3b/P4yExMTyGQy9OrVS4h0Dc6z6vvBBx9g6tSp8Pf3R0BAAHJycpCVldXq9xnpC5eX1oP09HSsWbMG9+7dQ58+fbBs2TIMGzZM6LQMnq7VZhYsWICFCxd2cDYvh+DgYC4v3Y6OHDmCxMREFBYWonv37oiJicH06dNhZGQkdGoGT6lUYunSpTh48CDKysogk8kQFhaG+fPn4w9/+IPQ6RmcnJwcvPnmmy3G//KXv2D9+vVobGzE8uXLkZGRAYVCgcGDB2P16tX8UKSNWqtvfHw8BgwYoPV5qamprS5DTU886/3bXL9+/bi89HNoS30zMzORkpKC27dv47XXXsOHH34oyAchbHSIiIiIiEh0uBgBERERERGJDhsdIiIiIiISHTY6REREREQkOmx0iIiIiIhIdNjoEBERERGR6LDRISIiIiIi0WGjQ0REHSonJwdSqRQ5OTntGreqqgqenp748ssv2zWuISsrK4OjoyP+85//CJ0KEVGHY6NDRPSSKCsrQ2JiIvz9/dG9e3fIZDIMGDAA06dPx6lTp4RO73fbsGEDTE1NERkZKXQqHW7Pnj1Yt25di3FbW1u8++67WLp0KRob+bV5RPRyYaNDRPQSOH/+PIYOHYrU1FT0798fixcvxqpVqxAREYH8/HyEhITg6NGjQqf5wurq6rB+/XpMmjQJZmZmQqfT4fbu3av1G98BYNq0afjxxx9F0cwSET0PE6ETICIi/VIoFJg0aRKMjY2Rk5MDT09Pje0JCQk4cOAALC0tW41TVVX1zH2EcvjwYZSVleGtt94S5PiduTZeXl7w9vZGZmYmhg8fLnQ6REQdhjM6REQit2XLFty5cwfJycktmpwmISEh8Pf3Vz9OTk6GVCrF5cuXERsbix49emDo0KEAgJs3byIuLg5DhgyBo6MjXF1dMWHCBFy6dKlF3Nu3b2PixIlwcnKCh4cHFi5ciNraWq05nDt3DhEREXB1dYWDgwOCgoLaPAtx6NAhODg4oE+fPhrjTa/j559/RnR0NFxdXeHm5oa5c+eisrKyRZzjx49j7NixcHZ2hrOzM8LCwnDx4kWNfWbOnAmZTIYbN24gMjISLi4uePvtt9XbCwsLERUVBQ8PD8hkMvj4+CA+Pl4jRnFxMebMmQNPT0/Y29tjyJAh2LRpk8Y+Tfcy7d27F59++im8vb0hk8kQEhKCa9euqfcLDg7GkSNHUFRUBKlUqv73tMDAQPz73/9GQ0NDm+pJRCQGnNEhIhK5w4cPw9zcHG+++eZzP3fatGlwc3NDQkKCuljjO7oAAAjxSURBVEE5f/48Tp8+jZCQELi4uODu3bvIyMhAcHAwzpw5AwcHBwBATU0NQkNDcevWLUyfPh0ODg7Ys2eP1uYlNzcXYWFh6NevH+bNmwdTU1Ps2rUL48ePx759+/DGG2+0mufZs2cxcODAVl+Hk5MTFi1ahPz8fGRkZOD27dvYs2ePep89e/YgNjYWI0aMwCeffILa2lpkZGRg7NixOH78uEaTqFKpMH78eAwePBiJiYmQSCQAgIKCAsjlchgbG+O9995Djx49cPPmTWRlZWH58uUAgNLSUvz5z3+GSqVCVFQU7OzscPLkSXz00Ue4f/8+5s2bp5H7mjVrIJFIMHv2bDx8+BBr165FTEwMjh07BgCIi4vDw4cPcefOHSxbtkzr6x84cCDWrVuHS5cuoX///q3WkohILNjoEBGJ3JUrV+Dh4QFTU1ONcaVSqTG78sorr6BLly4a+/Tq1Qvbtm3TGBs9ejRCQ0M1xiIjI+Hr64tt27ap/1DPyMhAYWEhtmzZor6k7L333kNAQIDGcxsbG/G3v/0Nfn5+2L9/P4yMjAA8aU4CAgKwZMmSVlcNq6+vx2+//YbRo0fr3MfJyQl79uxRx5bJZFi1ahW++eYbBAYGoqqqCvPmzcPEiRORmpqqft67776L119/HStXrkR6erp6vK6uDnK5vEVjERcXh4aGBpw6dQo9evRQjy9atEj9c1JSEmpra3H69GnY2tqqX+sHH3yAlJQUxMTEaMzIPH78GLm5uep7j6RSKeLj43H58mV4e3tjxIgRcHJygkKhwIQJE7S+/qZcrly5wkaHiF4avHSNiEjklEpliwYGAP7617/C3d1d/a/5TAIAREVFtRgzNzdX/1xdXY379+/DysoKHh4euHDhgnrb0aNHYW9vr9EUmZubY/LkyRrx8vPzcfXqVYSHh+P+/fsoLy9HeXk5lEolAgMD8f3336O6ulrn63vw4AEaGxtbXK71tJiYGHWTAwAzZswA8GS2CwBOnDgBhUKBiIgI9fHLy8vR0NCAoUOHal0KOzo6WuNxWVkZ8vLyMHHiRI0mB4D62I2NjcjOzsbo0aNhZGSkcayRI0eipqYGP/zwg8ZzIyMjNRZYaLqE8Pr16zpfb3NNtSkvL2/zc4iIDB1ndIiIRK5Lly5QKpUtxuPi4tRNh64lmZv/wQ4Ajx49wrJly7B7924UFxdrbOvWrZv656KiIvTs2RPGxpqfqbm7u2s8/vXXXwEAc+bMwZw5c7Tmcf/+fVhYWGjd1qS15ZObH9PGxgZSqRQ3b97UyGHcuHFan9/8NRgbG8PV1VVjrKnxaH6f0NPKysqgUCiwfft2bN++Xes+paWlGo+7d++u8bipaVEoFDqP01xTbZ5u9oiIxI6NDhGRyPXu3Rv5+fmoq6vTuHzN29sb3t7eAKC+x6S5p2dvmsyfPx/bt29HbGwsfH19YW1tDWNjYyxcuBAqleq582t6zj/+8Q+d99k0XeKlTbdu3WBkZPRcf/jrymHdunVwcnJ65v6mpqYwMXn+U2jTccLDw/HOO+9o3cfLy0vjsa7fzfN8L05TbWxsbNr8HCIiQ8dGh4hI5IKCgnD27FlkZ2cjPDz8d8fbv38/IiMj1TfXN1EoFBozOi4uLvjpp5+gUqk0ZkSaZk+a9OzZE8CTmafAwMDnzkcikcDd3R03btzQuc+vv/4KDw8P9ePy8nIoFAr1rExTDra2ti+Uw9MxCgoKdO5ja2sLKysr1NfXv/BxXkRTbXStukdEJEa8R4eISOSmTZsGBwcH/P3vf8cvv/zyu+NJJJIWswl79+7F3bt3NcZGjRqFkpISZGdnq8dqamrw5Zdfauw3cOBAvPbaa0hNTdV6iV1ZWdkzc/L19dW4P6i5tLQ0jZw3bNgAAJDL5QCAkSNHwtraGikpKVqXv25LDjY2Nhg2bBh27NjR4v6ZpmNLJBKEhITg0KFDyM/Pf6HjaGNpaYmKigqdszwXLlxAly5d0Ldv3xeKT0RkiDijQ0QkclKpFJmZmXj77bfxxhtvqJdFNjMzw61bt3Dw4EFUVVW1uBdElzFjxuCrr76ClZUVvL29kZ+fj6ysrBb380yZMgVpaWmYOXMmLly4AEdHR+zevVvjxnrgyf0uX3zxBcLDw+Hn54dJkybB2dkZd+/eRV5eHhobG3Hw4MFWcxo7diwyMzNRUFCg9R6ZO3fuICIiAnK5HD/99BO2bt2KkSNHYsSIEQCAV199FZ999hliYmIQEBCAsLAw2Nvbo6ioCMeOHYOXlxfWr1//zNqsXLkSY8aMQWBgIKZOnYoePXqgqKgIWVlZOHfuHIAnl+jl5uZi9OjRmDx5Mvr06QOFQoH8/HwcPHgQ9+7de+Zxmhs0aBCysrIQHx+P119/HcbGxggLC1Nv/+abbxAUFKTzMjgiIjFio0NE9BIYPHgwzpw5g9TUVBw5cgTZ2dloaGiAg4MDfH19kZycjOHDh7cp1vLly2Fqaop9+/Zh+/btGDhwIL7++muNJZQBwMLCAtnZ2Zg/fz7S0tJgbm6OiIgIjBo1SuOPcAAYNmwYjh49ilWrVmHTpk1QKpWwt7eHj49Pi1XatJHL5bCzs8O+ffu0NjqbNm3Cp59+iiVLlgAAJk+ejKSkJI19xo8fDwcHB6SkpOCf//wnHj9+rK7P1KlT21Sbvn374ujRo1i6dCm2bNmCR48ewdnZGUFBQep97OzscOzYMaxcuRKHDh3C5s2b0bVrV3h6erbIqa2ioqJw6dIl7N69Gxs3bkRjY6O6xleuXMHly5exdOnSF4pNRGSojBQKRdvvZiQiIuqkUlJSsHnzZpw/f1696EJycjJWrFiBK1euQCaTCZyhMObPn48zZ87g5MmTXHWNiF4qvEeHiIhEYcaMGaitrcXOnTuFTqXTKCsrw7Zt25CQkMAmh4heOrx0jYiIRMHCwqJdFlsQE1tb2xaLRBARvSw4o0NERERERKLDe3SIiIiIiEh0OKNDRERERESiw0aHiIiIiIhEh40OERERERGJDhsdIiIiIiISHTY6REREREQkOmx0iIiIiIhIdP4XbB74JiinYg0AAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "vam2 = [r.feet / r.hours for r in segments]\n", + "\n", + "show(pct2, vam2, xlabel='Grade (percent)', ylabel='VAM (vertical feet per hour)', degree=3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Sure enough, the best fit cubic curve looks pretty flat between 6% and 12%, but there is a lot of variance. These numbers confirm that I'm an average club climber; good climbers can do over 5,000 feet per hour.\n", + "\n", + "# Eddington Number\n", + "\n", + "The British physicist Sir Arthur Eddington (1882-1944) was a pre-Strava bicyclist who favored this metric:\n", + "\n", + "> *Your [Eddington Number](https://www.triathlete.com/2011/04/training/measuring-bike-miles-eddington-number_301789) is the maximum number** E** such that you have bicycled** E** or more miles on** E** or more days.*\n", + "\n", + "Let's calculate mine, and see how many rides I need to take to improve it. For various number of miles, I'll list the number of rides of at least that long that I've taken, and the *gap*—the number of additional rides I would need to reach that Eddington number." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mi Days Gap\n", + "-- ---- ---\n", + "52 54 -2\n", + "53 52 1\n", + "54 49 5\n", + "55 47 8\n", + "56 46 10\n", + "57 43 14\n", + "58 40 18\n", + "59 35 24\n", + "60 34 26\n", + "61 28 33\n", + "62 26 36\n", + "63 24 39\n", + "64 22 42\n", + "65 21 44\n" + ] + } + ], + "source": [ + "def eddington(distances, unit):\n", + " \"\"\"Print information on the number of rides and the Eddington gap.\"\"\"\n", + " print(f'{unit} Days Gap')\n", + " print(f'-- ---- ---')\n", + " for E in range(1, 999):\n", + " days = sum(d >= E for d in distances)\n", + " gap = E - days\n", + " if -2 <= gap <= 45:\n", + " print(f'{E:2} {days:2} {gap:2}')\n", + "\n", + "eddington(mls, 'Mi')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So my **Eddington Number is 52**: I've done 52 miles or more on more than 52 days, but for 53 miles, only 52 days. This happens to be right around [the mean for Strava users](https://swinny.net/Cycling/-4687-Calculate-your-Eddington-Number). To increase 10% to 57 I would need 14 more 57-mile days. (Eddington's Eddington number was **77**.)\n", + "\n", + "If 52 seems too small a number, we can calculate the metric Eddington number (in kilometers):" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Km Days Gap\n", + "-- ---- ---\n", + "75 76 -1\n", + "76 75 1\n", + "77 74 3\n", + "78 72 6\n", + "79 71 8\n", + "80 70 10\n", + "81 67 14\n", + "82 59 23\n", + "83 58 25\n", + "84 53 31\n", + "85 52 33\n", + "86 51 35\n", + "87 49 38\n", + "88 48 40\n", + "89 47 42\n", + "90 46 44\n" + ] + } + ], + "source": [ + "eddington([m * 1.609344 for m in mls], 'Km')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "My **metric Eddington Number is 75**, and to increase 10% to 82 I would need 23 more 82 km (51 mile) days, but to increase 5 more to 80 I would need just 10 such days.\n", + "\n", + "# H-Index\n", + "\n", + "Inspired by the [h-index](https://en.wikipedia.org/wiki/H-index) for scientific publications (and by Eddington's h-index-like number), I invented a new h-index, or hill-index:\n", + "\n", + "> *Your **h-index** is the maximum number** H** for which you can regularly climb an** H** percent grade at ** H** miles per hour.*\n", + "\n", + "I think **my h-index is 6**, but let's draw a plot and do a computation to confirm:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show(pct2, mph2, xlabel='Grade (percent)', degree=3) \n", + "plt.plot([6, 7, 8], [6, 7, 8], 'rD');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "My guess is confirmed: the leftmost red diamond indicates 6 mph at 6% grade, and we can see that about half my segments on 6% grades are above 6 mph. The term *regularly* in my definition is imprecise, but I think that's close enough. On the other hand, the next diamond is 7 mph at 7%, and there are only 3 segments that are up-and-to-the-right of that, so I wouldn't count that as *regularly*. And I have never achieved 8 mph at 8%.\n", + "\n", + "The other piece of confirmation is fitting the curve as the function `speed` and seeing that my predicted speed at 6% grade is 6.3 mph:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{6: 6.304162382032494, 7: 5.506903091328892}" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "speed = poly_fit(pct2, mph2, 3)\n", + "\n", + "{pct: speed(pct) for pct in (6, 7)}" + ] } ], "metadata": { @@ -321,7 +459,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.0" + "version": "3.7.2" } }, "nbformat": 4, diff --git a/ipynb/bikerides25.tsv b/ipynb/bikerides25.tsv index 933f76d..45bbf5d 100644 --- a/ipynb/bikerides25.tsv +++ b/ipynb/bikerides25.tsv @@ -136,7 +136,7 @@ Ride Sun, 1/25/2015 Canada Rd 2:45:51 39.99 mi 1,772 ft Ride Sat, 6/21/2014 Sierra to the Sea Day 7 3:36:53 39.77 mi 3,325 ft Ride Sat, 9/23/2017 Canada / Crestview 3:25:13 39.77 mi 2,444 ft Ride Fri, 12/27/2013 OLH to Page Mill 3:24:14 39.73 mi 3,365 ft -Ride Sat, 4/30/2016 Ridge to Bridge 5:40:57 39.67 mi 5,377 ft +Ride Sat, 4/30/2016 Ridge to Bridge MTB 5:40:57 39.67 mi 5,377 ft Ride Fri, 10/30/2015 OLH - West Alpine 3:28:46 39.51 mi 4,505 ft Ride Sat, 9/5/2015 Ring of Fire 3:31:55 39.18 mi 3,553 ft Ride Wed, 8/28/2013 Train Track Crash 2:50:55 39.16 mi 928 ft @@ -188,7 +188,7 @@ Ride Sun, 9/30/2018 Canada 2:48:41 36.12 mi 1,480 ft Ride Fri, 3/30/2018 Morning Ride 2:38:07 36.11 mi 285 ft Ride Sun, 11/5/2017 Lunch Ride 3:24:01 35.91 mi 2,231 ft Ride Sun, 2/8/2015 Commute 2:28:46 35.85 mi 1,142 ft -Ride Tue, 6/26/2018 Return from Chabot Lake with Juliet 3:21:30 35.81 mi 817 ft +Ride Tue, 6/26/2018 Return from Chabot Lake with Juliet MTB 3:21:30 35.81 mi 817 ft Ride Sat, 3/30/2019 Morning Ride 3:23:55 35.78 mi 2,861 ft Ride Sun, 11/22/2015 Pigeon Point 3:14:41 35.73 mi 3,230 ft Ride Mon, 9/19/2016 Sunnyvale 2:37:04 35.68 mi 745 ft @@ -278,7 +278,7 @@ Ride Thu, 12/28/2017 Morning Ride 2:17:38 30.54 mi 430 ft Ride Mon, 1/30/2017 Morning Ride 2:19:47 30.49 mi 696 ft Ride Sun, 8/27/2017 Lunch Ride 2:16:36 30.47 mi 774 ft Ride Fri, 10/12/2018 Lunch Ride 2:16:25 30.44 mi 348 ft -Ride Mon, 6/25/2018 Chabot Lake Overnight Bike packing with Juliet 3:02:49 30.41 mi 1,250 ft +Ride Mon, 6/25/2018 Chabot Lake Overnight Bike packing with Juliet MTB 3:02:49 30.41 mi 1,250 ft Ride Sat, 2/28/2015 Palo Alto Cycling 2:40:24 30.37 mi 2,535 ft Ride Sat, 6/24/2017 Afternoon Ride 2:06:05 30.31 mi 338 ft Ride Tue, 6/2/2015 06/02/2015 Mountain View, California 2:09:58 30.30 mi 784 ft @@ -435,3 +435,4 @@ Ride Sun, 1/19/2014 01/19/2014 Palo Alto, CA 1:36:55 25.01 mi 1,201 ft Ride Mon, 9/5/2016 Afternoon Ride 1:42:56 25.00 mi 902 ft Ride Sat, 11/8/2014 Atherton - Woodside 1:40:51 25.00 mi 972 ft Ride Sun, 12/10/2017 Exercise Bike 1:30:00 25.00 mi 0 ft +Ride Sun, 6/2/2019 The Sequoia 6:40:43 77.51 mi 6,467 ft \ No newline at end of file diff --git a/ipynb/bikesegments.csv b/ipynb/bikesegments.csv new file mode 100644 index 0000000..69b17c8 --- /dev/null +++ b/ipynb/bikesegments.csv @@ -0,0 +1,64 @@ +Alma Mountain Charlie, 3.12, 875, 31:49 +Alpine Westridge, 0.76, 99, 3:26, 3:29, 3:43 +Alpine last kicker, 0.39, 114, 3:11, 3:36, 5:19 +Arastradero, 1.19, 193, 6:41, 7:49, 7:55 +Bring it On Home, 10.81, 237, 37:19 +Cabrillo Hmy S, 0.46, 153, 4:31 +Canada South Interval, 1.42, 54, 4:50, 5:08, 5:20 +Canada to College, 1.37, 119, 5:55, 6:23, 6:35 +Canon, 0.90, 295, 11:05, 11:56 +Canon to No Cycling, 0.75, 198, 5:14, 5:41 +El Camino, 0.50, 15, 2:11, 2:19, 2:22 +Foothill Arastradero, 1.13, 37, 3:31, 3:44, 3:51 +Foothill Homestead, 1.22, 126, 5:31, 6:36, 6:53 +Foothill Magdalena, 1.66, 44, 5:51, 6:21, 6:29 +Foothill Miramonte, 1.64, 39, 4:55, 5:29, 5:43 +Haskins, 1.51, 566, 17:48, 18:43, 18:48 +Highway 9, 0.56, 260, 8:33 +Highway 9 Mantalvo, 0.45, 35, 1:36, 1:48, 1:53 +Huddart, 0.92, 385, 10:15, 11:18, 12:55 +Joaquin, 0.33, 253, 6:19, 7:27 +Kaboom Portola Rd, 0.67, 102, 3:14, 3:26, 3:33 +Kings half way, 2.89, 820, 27:26, 29:45, 32:43 +Kings to Skeggs, 1.10, 273, 9:08, 10:39, 10:54 +Limantour Spit, 0.47, 303, 5:20 +Limantour steepest, 0.20, 159, 5:41 +Lobitas Creek, 0.96, 430, 12:15, 12:07 +Lower Redwood Gulch, 1.03, 474, 13:00 +Mapache, 0.24, 111, 2:52, 2:56 +Mt Eden climb, 1.02, 272, 8:32, 9:43, 11:59 +Mt Eden to Archery, 0.54, 180, 5:20, 5:39, 6:12 +Old La Honda, 2.98, 1255, 28:49, 34:04, 36:45 +Old La Honda Mile 1, 0.99, 370, 8:02, 9:36, 9:51 +Page Mill to Moody, 0.21, 112, 2:50, 2:55 +Page Mill to Ventana, 0.47, 196, 4:54, 5:32, 6:05 +Peach Hill, 0.60, 248, 7:30, 7:50 +Pescadero Bean Hollow, 2.77, 51, 8:07, 10:48 +Pomponio Creek, 0.38, 122, 2:47, 2:56, 3:16 +Red Hill KOM, 0.34, 161, 4:15 +Redwood Gulch hits, 0.18, 151, 3:36 +Redwood Gulch wall, 0.43, 258, 6:39 +Sand Gill Sharon-top, 0.85, 136, 4:04, 4:16, 4:24 +Sand Hill 280 to horse, 0.49, 95, 2:34, 2:44, 2:51 +Sand Hill Alpine to 280, 1.67, 180, 7:02, 7:40, 8:02 +Stair Step, 0.32, 175, 5:25 +Stanford Ave, 0.63, 85, 3:14, 3:32, 3:49 +Stevens Canyon, 2.85, 127, 12:51, 13:46, 18:12 +Stevens Country Park, 1.22, 112, 5:43, 5:59, 7:00 +Stirrup Wall, 0.17, 125, 3:47, 4:33 +Stirrup to Moon, 0.36, 159, 3:41, 6:07 +Summit Rd Climb, 0.60, 275, 8:00 +Tepa, 0.58, 248, 6:34, 7:14, 8:21 +The Boneyard, 1.48, 135, 6:05, 6:36, 7:00 +Try not to fall back, 0.71, 410, 12:45 +Tunitas Knoll to Star, 1.55, 339, 12:28, 12:56, 13:51 +Tunitas flattens, 0.42, 166, 3:16, 3:25, 3:51 +Tunitas lower climb, 1.30, 421, 13:34, 16:00, 17:33 +Tunitas steep, 1.20, 599, 16:16, 17:48, 20:44 +Vickrey Fruitvale, 0.99, 68, 3:41, 3:58, 4:27 +West Alpine switchback, 0.78, 322, 8:56, 10:52, 11:56 +Westridge, 0.68, 385, 8:28, 9:52, 10:19 +Westridge 3min, 0.37, 240, 4:41, 5:35, 6:31 +Westridge Hill 1, 0.51, 104, 3:19, 3:58 +Westridge Hill 2, 0.51, 166, 4:42, 5:10, 5:21 +Woodside Climb, 1.71, 295, 8:05, 9:00, 9:35