From 1697ee1c43384ae5e57b6dc04de8cb20d26aabe2 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sat, 13 Oct 2018 17:42:08 -0700 Subject: [PATCH] Add files via upload --- ipynb/Bike Speed versus Grade.ipynb | 150 ++++++++++------------------ 1 file changed, 54 insertions(+), 96 deletions(-) diff --git a/ipynb/Bike Speed versus Grade.ipynb b/ipynb/Bike Speed versus Grade.ipynb index 788fb00..99cf236 100644 --- a/ipynb/Bike Speed versus Grade.ipynb +++ b/ipynb/Bike Speed versus Grade.ipynb @@ -9,8 +9,8 @@ "# Bike Speed versus Grade\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 past rides \n", - "on [Strava](https://www.strava.com/athletes/575579) that are longer than 20 miles, out them into a text file `\"bikerides20.txt\"`, and wrote code to parse the file:" + "To answer that, I downloaded all my recorded past rides longer than 20 miles as ([bikerides20.txt](bikerides20.txt)). (I started recording using \n", + "[Strava](https://www.strava.com/athletes/575579) in mid-2013, but didn't use it across all rides until 2015). Here I parse the file:" ] }, { @@ -28,17 +28,17 @@ "\n", "line = 'Ride\tThu, 8/9/2018\tBRNW\t4:58:07\t68.41 mi\t3,862 ft\t' # Sample line\n", "\n", - "Ride = namedtuple('Ride', 'date, title, hours, miles, feet')\n", + "Ride = namedtuple('Ride', 'miles, feet, kind, date, title, hours')\n", "\n", "def parse_ride(line) -> Ride:\n", - " \"Turn a line (such as `sample`) in a Strava datafile into a `Ride`.\"\n", - " _, date, title, time, mi, ft = line.strip().split('\\t')\n", - " times = map(int, time.split(':')[::-1])\n", + " \"Parse a line from a Strava datafile into a `Ride`.\"\n", + " kind, date, title, time, mi, ft = line.strip().split('\\t')\n", + " times = [int(t) for t in reversed(time.split(':'))]\n", " miles = float(mi.split()[0])\n", " feet = int(ft.split()[0].replace(',', ''))\n", - " return Ride(date, title, hours(*times), miles, feet)\n", + " return Ride(miles, feet, kind, date, title, hours(*times))\n", "\n", - "def hours(sec, min, hour=0): return hour + min / 60 + sec / 3600\n", + "def hours(sec, min, hour=0): return sec / 3600 + min / 60 + hour\n", "\n", "all_rides = {parse_ride(line) for line in open('bikerides20.txt')}" ] @@ -47,7 +47,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "For some of the rides, the GPS was not recording elevation, so the feet field is 0. Let's eliminate those, and let's collect two vectors of numbers: one for miles per hour, and one for feet climbed per hour, and plot them:" + "I'm interested in my \"serious\" rides, so I'll focus on `rides` that are at least a marathon (26 miles) in length, and for those rides collect three vectors of numbers: miles per hour, feet climbed per mile, and total miles:" ] }, { @@ -57,18 +57,11 @@ "collapsed": false }, "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Kept 583 out of 609 rides\n" - ] - }, { "data": { - "image/png": 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k0gYuzqTxe79+Fba/dhhpQ2Hr0wOO2nq9Da7++47NG+xWvJZ9Xt59PsHpGxrH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\nI/4/C4iIcUtHFF4AAAAASUVORK5CYII=\n", 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USeqETXql2S4hTAfJJKotwu58dYcXvK/bySH4nddvTmpRKkWGB/3HAhIzFHWS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\nAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -76,19 +69,19 @@ } ], "source": [ - "rides = [r for r in all_rides if r.feet > 0]\n", - "mph = [r.miles / r.hours for r in rides]\n", - "fpm = [r.feet / r.miles for r in rides]\n", + "rides = [r for r in all_rides if r.miles > 26]\n", + "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", "\n", - "plt.plot(fpm, mph, '.')\n", - "print('Kept', len(rides), 'out of', len(all_rides), 'rides')" + "plt.scatter(fpm, mph);" ] }, { "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 it, it looks like a curve would be a better fit than a straight line, so I'll fit a cubic (degree two) polynomial to the data, and make the plot prettier:" + "As expected, there is a lot of variance, but overall speeds get slower as the grade gets steeper. Just eyeballing it, 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:" ] }, { @@ -100,9 +93,9 @@ "outputs": [ { "data": { - "image/png": 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iVEgiIiIqHccmKZ/73Odwzz33xP3bvffei3vvvRcPPvhgic4qd8mCxHxXMLJi\nBNqZjHSYz1cAoM5OvUq2B4sRtKqzQavVwv1ishv82nld4muMMrZOTVZiCSbiE+JU1d8y0dPqgSjo\nfQ0IUAuwd02uMimckJjQOek6iIiIFpqSJilTU1M4deoUAEBVVZw7dw7Hjh1DQ0MD2trasGTJkrjX\nu1wuLF26tOBDUYVU6pKg3S1edHo98PnstZs4gmBUDku2B8tc0IqCB63GjvcAYuWPi6UcythajZzZ\nqf5mV3eLF09u9uGRQwGomgavJDpqEXomfWSV0DmtP4mIiBaSkiYpb7zxBu6+++7Y33ft2oVdu3Zh\n586d+Na3vlXCMyssJ0xtyUTi+e4bnsF1TS70joRjXzd+nwta9epXhQpaj02I+D9/NYrw7Dr+PYNB\nPH9Hc9HuazmUsTUSzH87cRkej94P+T7vT3fWYm2DG88dP49PrFue0bEKtWu9IZNrzWYqJBERERVO\nSZOUW2+9FZcvX7b9+jfffLOAZ+N8hQ7q0rVrjKTIioaXz8uWZXg/3VmLFe5wbLPIxOlRuZ6/cYzj\nfgkRU6GxsIpY0lSMe1ROZWx/cCaKiBrFs0Mh7NpYl/fz7m7xoqEtikuA7elvxRiJyqSPspkKSURE\nRIXj2DUp5S7fCUWppheZ2zWvSQGSr00xbxaZ7flb3T/zMUS44BKAyOzUMo8INHqFuDbSVSLLRamn\n7dnVOxJGREFsGtO4rBXkvI9NiLFKX6KAtEUTijESlc2Go5lMhbSjVA8WiIiIyh2TlAIwV7myE7DZ\nsXcoiBlFg4biTi8yB5MiAFHfJsTWzuDmAC2ToLTPL+Oun47G9vJ4YXYal/kYAPD7nTWx9+zsqMmo\nElk+GMdLnPbmJD2tHrglAOpcXxViumF/QMyoaEI+R6JSJQKlnFqZj8SciIhooWKSUgD5rnLV55ex\nezAIY/N1l4CiTS9KDCaN0Yl0ZXgTE42vb/LZDkr/7s3J2FqTsKonaN0t3rhzcQnWi+XtViIzn2e2\ngWE5LJ7vbvFiT0+15fS7fOryqRkVTcjXSFQh+yDXpCHTxNzpnyUiIqJiYpJSAPmuctU7Eo6NHggA\n7l9dvEpW2QaTe4eCcYnG0bFIyuOY173sPyvHfc0fUvDff6XvXG4kSSsjfnS3eOcFknYrkRltJgsM\nk+2Zke3oUClZTb/Lt/V1asZFE/IxylGoPshH0pDJaFG5fJaIiIiKhUlKAWRb5SpZYJwY7OzsqJn3\nvkJOE8nyaX+QAAAgAElEQVTXlJlkx7Fa92IQBeDFs3Lc2pMX7mhGQ0BNGkgabaxtcKe8L8kCw2R7\nZiS2V4hF6OXMqPRVzClLhSpgkI+kIZMEv5wKMRARERUDk5QCSQzYgNSVj1JtJpcq2HHqNJGdHTXY\nM6iPpnhEzEusgLnk6uxUNBYQCpj7JQrAx9u8+PGZuZGVyGwVr7urUweSdhK3ZIFhsj0zEtsr1CL0\nXJR6XUOx14Dku4BB/5iCgdOTaPQKeUka7N4Pq+sodV8SERGVEpOUAjICFDuJRGJgvHcoGBegJAt2\nnDhNpH9MwcBUGH+zyZd03Yr5nrgEQBIAzVQ5TJotOAAgLkmRjPU4geRJRp9fxt0/1fdQcQnAp9bU\nWK5fSRbgJtszw6o9J+15Y75uj4ii7htTSvnqgz6/jPt7Q4iooYJXh7Nivg6nPnwgIiIqFiYpRWAn\nkTAHxi4B2D0YhKKlr0yVr2kiiU9t0z3FTfb1xEAv2bnPq9S1pganJxX84rwMFYAGYFzWvyhCT14E\nAL+3Rk82BgPxSUajV4hV2do7FIQ8m+1ENOA7bwfx7FDI8lysAtzEPTOAuVEwp42cmJmvWzYVHMhG\nPp/il8uIgFW55ofXF3YtT6pzcdrDByIiomJiklIEdhIJc2B8MerCd98J2gpQ8jHdxWqthXnReWJw\nn+opb2Kgl+zczfdEEvR/29FehUMXwrHjNnoFHB2LwC0C0dmELXHamHFs8/lsvSL+/mrQSxInjk7Z\nceJSZN69yHfg6rQgPtun+On2tnH6iIBVueZSngvXqBAR0ULGJKUI7CYS3S36ZnJvy1V4dihkO0DJ\ndbpL4lPbfcMzcfuNfO2NSTx6Q/y+IMme8va0eiCJgKqmLpXc3ezG81sX4bl3LuOFoQm8OjCCY4jg\nf17jwfRMBPWSgn/9ySQENYrf1qK4rdWFLUskXP2OAPwmiqYPzsN15gQADTPnZvDZsyFAUyEB+HDQ\njc6LYaiaPhKjQoAiiNDOi/BDwP8WJSy7rg5X+dyAKAGiCIgiNJcbcLlxcgr4m18HMQUXwpILV8GF\nkOiGIkroP6Wi29cMeLyAIGR9zw39Ywoe6M1PEL+zowa7B4Oxss9W64DsyOYpvrGZY+J1lNOIgJ1y\nzcVKKPO91oaIiKjcMEkpkkwSiWIHKIlPbY0RDWOvl1+cl3FoRMbzH63Fh2vC+DjG0TvxPmrD02hS\ngvivpyS4z4YhzISwenwS33r3EmqiM/ApIdx4SkG1MgNhJgREZAhhWf89EsFHAHwEwDfMJ3Nk7o//\nxfzvb8af8wrTn++c/RUzBNyX7qJPJv/SDQB+luyLh+b+qHmqAK8XmrcK8FTF/+6tgla9CFpVDVCz\nSP/z7C9U18T+fGJ4BmLEC0X05BzEd7d48cIdzTl/brJ5it8fEC2TkWyO1eeXsXcoCGBuL5xkle/y\nLVW55lxGhczJTafN03fSeiciIqJiY5LiUJkEKKnWh1gGrKoKTE9CmLwMYeIyNk9eRl/DGM6PjGO1\nMIVlv5jCfeOX4L8YgBSchC8aREN0Gt6XowCAjQBeNJ/Aibk/tgF40Py18QwvvIwI4RkgPANhMpD1\nMR6d/RUUPbjkroXvNz5U/dgH1NZBW7QY2qI6aLWzv+oaoNXVx36Ht3re8fIR2GaTJHf5VMtkJNNj\nGYv/jbU1uweD+Pomnz7lzqLyXTFlOyqUmNzs7qnCVl8RTpiIiKiMMUkpc+YAqEGV8b83Ate7pnDg\nxPt48a3zaJUv43wkAHnxNOpnLkMIjGPRZACCqsYd55rZX4bm2V9UHDVqGDXyODAyDozYe4/mqdKT\nFl8DtMWzCYyvEVp9E9T6ZmgNTdDqmwFByvh8EpOddNOc1tepSZORTBInPRGY+3tExdz0Q5R2yli2\n60QSk5vDowq2rirwyRIREZU5JinlQNOA4BTEMT+ESxchjF+EOO6HMH4R7WdG8OvRC7hiZhy1qgz8\nUn/L7bO/Yj4owXmnobncgMeDsOTF+YiEkOjBjOjGcp8XVR433risQRYkRAQXIoKEqCjhQ01VuKa5\nGoGpKfjq6wEIgCBAEwRcmFHxwmkZCgBBEHB3ezVaqyVcCEbxwVQEy6sFLPUKgKrM1jtW9T+rKi6F\nInjtfBAuNYIqLYrrfQJqVBmSpkGIhiHLEUTCYVSrEbgiMoRIuNS3D0J4BsLoCDCaOqupEQRoi+uh\n1TdBa2iO/a42LYXW1AK1aSleU3w4MCZYJiF2pznlYxRHTwQQG0lxi6aCCkppF5FnOw0zMbnZ1Jx5\n0khERLTQMElxAk2DMHEJwsUPUH3mFNzBCYijIxAujkAcG4EwdlGfWmShmA9kVckN1NYCNbXQahbr\n05FqavU1FlU10LzVQHUNgpqAlydr8O9nVASkakxJVZiSqjAtehB2efB/39iEL97QpC9Yh17e96/6\nJ2J7pLgEvdSwUeEM0MsPV0l6gCy3eHF2cBBVq1fHnd+/HpvEE54JKJq+n8rYjXXoafXoAbY7dYBd\nA+C9t6ewb3gGO9qr0NVZi4uBAHw+X1yQLgnAA6trsHNVFbrrNQjyDBCWIcghQJb1fpJnIMwEgZkQ\nhOCU/ufQNITgtP7n4BSEUBDCzDS0qQmIwSkIilKwfhNmP1+YuAScGbJ8zUcArHXX4VxVE4Irl6N+\neSu0pqVQm1owdNmHGnkRQq5FBRvJMI/UPH9H87w1KWsb3LGS0KVcp5FNIpaY3HR6rf8vExER0ZyK\nS1ICgezXBxTy+II8A2lsBK6LH8A1OgJp7AJc4/7Y78aT+ezqMWUu7K7C+9JiXHTXYcy9GC5fHa5q\nrceS5nqotT6otYvx/dEqfPusB2PuRZhwLcJD19Xi//pQ+gAtFArBHfTgP2dCiCiApOciUFTALQHr\nGiQEJidjr99Qq0AUAHU2IVE1IBwOwy0CmH3//7HShXtXuNHpnUEgoAd5iX2xoVaJvcctAhtqI3hp\neAZhZXaqkKLhpeEJdHrnP4nvH1Pw6BH9fH91QcYKdxhra/Q+eWk4HDuGMrvvyt6hIPb0VKOrSQI8\nNfqvxfpxDk8q2NQi6V+zca+qq6ogyCGIwSmcPB/AuyMBXO8J4mpxGmJwCuL0JKTpCYiTAf3X1GVI\nkwEISjTt8TPREplAS2QCOP4ecHzu3z8/++uSqwbD1S1YemEZtIFliDa1QGlqRbS5FYKiZf1/o39M\n0ffWUfTPx56eanzlWuPe6f3d6QVWrFBQber/ZMc6PKpgU7O9+58oFApldQ3pdHqBzpUAMFOwNhIV\n+nthMa6jUtoA2B9OOL6BfeGcNgD2h5PaAIrbHz5f6gWaFZekpLvgXPj9/rTHF/znIZ4ehHjhHMQL\n70McOQfhwjmIgcKvINfcbn1Ngq8R41UNeEtbjIOhWnzgqceIpx4fuH34wFOPcfdibGpbjFfOy9BM\n7/eKwPNb5nYpX+2XMWSa5rPtKh98vuRJivE0fEOtB1tXNWJf7dzTcQBJp8ls9QFPRqbwyKEAVA3w\nSgIeXFuPB9cmf49VX2z1Aftq5ypD1dbWYHkkAkEIQ9QAjyRgW3ud5TUMnJ5ERA1BAQAVGJhyo6tJ\ngs/nw7Z2GU+fHMOMokGDvu9KZPY15kpQfX45q3LC+nXU6yM2744hrC6b93519lfM7BTAN4f9OHn6\nIm7yTmM1piAGxiFcHoNweRTCpVEIl8cgTlxKew52NESDaJgcBk4MxxVLAIClggBtyTKoS6+E2toG\nrVX/XW29ElpjS2zUzIrVvTfuq3mEZSqoYMAvotErYFzWYr+bNyBNvP8AYpt92t09vpDfQ4rVhp3v\nVfnANuxhfzjn+OwLZ7XB/nBWG07rj4pLUkrNvf//g+fnz+X9uJrHC62xBWrjEmiNS6A1LIHa1AKt\nYUns37FocWzvjmoANwFQZ4O8tV4htimhWwSua3Lh5fNyXBthFXFTeezOwTdKxu4ZDCKq6aMY+2rl\neVNjzBv8JR7z0521WNvgjiUYxuuzmdpj7DGzZzAIDfrIjCgAuzYmnypkvSh6Ju4+mK/Ram1ErnuC\nZPR+QUDftAf39FcjrLalTIoC42Oo1xQIl0fx/MA5HPrN+1gmj2OFPIZbXJfRMj0Kd2AUkqZaNGSP\noGl6gu4/D7zZF/c1ze2G2nIFtNmkRV2+EurydqjLVgDVNfPufaNXwFPHJtFo+sy6BD05jKohqNCn\n/2kAROhJrfE5Nd+/vUNBPDsUipXSNr8218p5REREVFhMUvJMa70yq/dFvTX4jbsZ73mX4GzNEnzs\nhpVoa78SWnMr1KalcQlIJsyB/toG9+xIRwQDU1Is0DN4xPmbL6ZLFIz1GsYoAwBAQdIAO9Ui7BOX\nIvjeO0Gomp5oZPMk3ByoGtPHNOhB7bisJX2fVUIWCMzEgtRGr4C2Whf+ZpMv6XnYrf6UbM+MTN9/\ndipqL6mRXNB8TdCaWrBk8dX4n9Nz93/Xxjo8dmQCSjSKFdEAdl8fwbXqJQjjFyCM+THx/nlo/vNo\nnLgAKRpJev9SESIRSO8PA+8Pz/ua2tiCLVesxFv1V+Jo1RUIt7bhv/c24IK0CAL0PlShT7Mzf16N\n31XMXXvi/cPs11SL12ZTOrhUpY/JWZi4EhEVB5OUPFOXWicpmihCa2qF2rIcWstyqLO/tOZWqEuW\nATW1uHgxjMOzi4OXt3iR76XURsIRCARQW+tBlSRAVjQIAG5f4cV/u26x7bKziYGyETQK0NcVJAuw\nk40W9PllPHIogOjsgWQl9ZPwhiTXaA5UjafvSpKRj2T3x7DnVBhfPjoFRZv/1D5Zdat0I099fhl3\n/XQ0tiv8s7dWx/bMsPt+8yJ+12zearfqVWIbsf4QJLznacSPq+vQuX5uqtU9+8cQXqbBK2j4yc0i\nbtRGIfo/gHjxPATj94sfQLw8lrZtK+K4H+K4HyvwWmyDznsBjLh9OF7bhuO1bTi6aAWOL2rDiZor\nEJY8sb4wPhPGtSdeG4B5n59cSgeXqvQxOQcTVyKi4mGSkmfq8pWIrvsw1KVX6PPyl7ZBbb0CWlMr\n4Ep9u7tbvOj0euatmcj3k7v+MQUDU2Hs2liXdFTA6ocxMDeqYZ6GI0D/Jc1W5bq7VctwWpV+XNU0\n0DH7INzySfjeoSCqZ1z4hG/+7uNWgWo2967PL+PLR8OxpMncfmKwmtg/qdrZOxSM7QMSVoEfnInE\n7Zlhfr9Vv5sDZwD4/TU1aKt1ZXR9ieeYbPTG3JYMAS+HFmPD+uVQ16yfd8x333oTq2urIFx4H+ff\nfQ9TZ86iffoD1I29D2FqwtZ5mbVGAmi9FMC2S3Mr+KMQcb5uGeQrVuFc40pML7sKvZ4rMVa7JOm1\nGZ+FTNakGLLdF4UqFxPX8tbnl/HcWeufHUTkPExS8kxbsgwzf/L/ADAFmYIH3WkSlGTy/eSuzy/r\nlZTUkOXxkk0lMkY1wqoWNw3HPKVKEvSSseYSq+ZAG9B/yFslRz2tHnhnR3ZEAXhysw9rG9zznoS7\nBH0X8qjqxr+es9593BzQ97R68PD6xchUYtJkkIT4UaJCPVlNdtzEwNko0ZutVKM3mQTpqqcK6srV\n6KtegXtOrkF46ex5f6EJ3TUzEEfOQRw5h5F3T2HmzGksHT+LuvHzkJB8Cl4iF1SsmHgfmHgfq3EQ\nAHAXgHHXIry5eCXGr7sGLdd8CEr7Gn3apSjltHdLtvuiUOVi4lq+jO+pspL8ZwcROQuTlALJV/Ca\n7yd3vSNhRBRY7t6daioRZl+vaHqyIM4uEDAvtY7MLrzXS63OP54AxBadJ96PZAGh+Un40bEIjo1F\n8MZoBCqEpPcjH/e+p9UDjwTICuKmsj2wOj4pyLR/dnbUYM+gPpriEYF7V7gtX5fsuIUInJMF8tm0\nZXne631QO3w4XNeBe05dh3CbBqENcCkRXB0cwbWh9/GHdaO4WRnB+KlTqB97H17Nfnnlxug0fuvS\nCeDACeCA/m+apwpq2yoo7WugruiA2r4G6pWr0o5mWt0DBjJkYOJavozvTal+dhCRszBJKZB8JRfZ\nPLlLNT2s0StAEKCX5E0xvQeYm0pkJAiSKWnZtbEO+4Zn4soYi7FRhpl5xzOPuCS7H1YBofFvfX4Z\njx2ZMI2qaPCIouX9SHXv002dM399T081nh8R4ip67eyI38nG6B9jbU+jN3Vxg+4WL56/o9lyYz9z\n26n6PR+Bs9UIl9U9ybStVOdt7hcRQFRy4+TiNpzyrcDNG+vwS1lD4zYBf37oElZOf4Drg+fw1aUX\nceX4GYhn34U4OmL7PITwDKR3T0B6d65WsuZ2Q13RAWXVNVCv+hCUqzqhtbalLI9MlIiJa3mKfW9S\n1KQ/O4jIWZikFEijV4CAzBfrJsr0yV2qUQQj0Lcqydvnl3F2KgpJ0LfgEABc3+TG2gZ37HguQU9c\nzLuAH7oQjpuiZVTFAuID1sSRlJ5WT0Zrbeaegun39MP1Cv7yliWW70sWKKcbYUn8+u6eKvy/Nzdg\nZ0dNyiB+18a62B4vjx2ZwNoGd9oEyJiCZtwrq3Mr1BPbdCNcQObreI5NiHj+2CR6Wj22p48Z0/7M\na5w8ooBdmxswLtejp/V6NLd4YaRxEyMfoH5yTE9Yzr0H6ey70E6/C5cctD6pBEIkAund30B69zex\nf9OqF0G5qhPqVZ1QVl0DsfkKoAg14qk8sJJX5TB+lj53/Dw+sW45+5OoDDBJKYBUyUA2Mnlyl2oU\nwRzom0vymoNWcTZoNQLu+zqq40ZX2mpdsZGN3pEwPr+2Bm+ORbGjvQqf7qydd97JFrEDSLow3055\n38+viCa9J8kSu3SjW4lfPzyqYOuq+fc/MXAZl/XqZqlK3KZLkKzO7eH19qutZSLVCJd57ZHdqXJ9\nfhkPHfciqk3E3mO1DihZvzx1bDLu2sdlzfL9WnUN1NZlUFevm/tHVYXgP4/33jyBnx08jvUT72HD\n1GksidhbrC+EpuE68Tpw4nUA+v5CamMLlNXXQu1Yp//e1pHxNDEqf6zkVXm6W7xoaItiNfuRqCzw\nJ28BJEsGiiHVdJu54e75lbWSBa3A/OpPiXujCAAOXQhbjiCYp2uZg9PEwDRZcGx+nznAbQicSXkf\nrBK7dFPnEr++qVmad1yrwMXOlLx0CVK6Y+QzYEo1wgUg5Xla6R0JI6La24ckm35JSRShtV6JH/p9\neGLVtVA0QIKGr62J4I9qPoB4ehDS6Xcgvvc2xEuj9g457od4xA8ceQWAvpGquupDUFZfB6XjWigd\na4FajrZUOlbyIiIqLSYpBVDKCjCppocZU5N+ODSFT3bUxlXWSra3yM6OmnnTnZ46NgnZtHmjBn1f\nk2RrPwDETRm7f3UNrm9yW268Zw4IzO9LfEI/GEh+D8wbMJqriKW6N8Z7zJXHzOtFDMlGPNJNzUr3\nmUg3rS/fAdN9HdUAEFtjk7i3iHGexu7vqUZvelo9cIvxU/kykY/FyPH3V8T1q5dDabkKyg03w9iC\nUrg0CvG9k5BOnYR46iSk4bchTE+mPbYQliGdPArp5NHYv6nLVkBZvU5PWlav49qWCsRKXkREpcUk\npQBKXQEm2fQwYxpaWNHw2tjc2olU07KM4yQ+9RcFzNvXxHhv/5iCB3rnkgvzlDFFA77zdhBVkr4m\n4T/PzWAkqKLOI8xbgJ5NYD5XZnL+BpDGtaaaiiUJegUvwDogSRa4pJuSZ9zjvUPJ10+kOka+AqbE\nERljfZG5XXNFNfNakVSbWH5znYzT7pasP++5Lka2839Oa2iG0tAD5cae2X/QIPjfh3TqbYinfqMn\nL8NvQ4hG5r03kfjBGYgfnIH7wE/0Qy1arCcsH9oA5ZoNUFd0ABK/vZazUn8fJyJa6PhTtEAKXQEm\nm/UJsaAf84P+xPNNVQ2ru8WLJzf78MihgD69xrRoHgAOjypxyQWgP2E3pocZU8n+89wMfnxGBgD0\nj0awdbkHBz4Ix9bD7NpYl3Fgbp5qB9ibgmROhowk6tmhEHb3VMV2g0827SzTPjZGKZ4dCuFHtzeh\n0+bb8xEw9fllfO2NyVgCl67KWuKUvFT3cH2dintXZ74fTT5l/H9OEKAtvRLRpVcCmz8KAAiMjaLh\nsh/S4HFIg8chDh6HGBhPf6jpSbiOHobr6GEAswvy11zHpKXMsZIXEVHp8KdmGcp2fUKyNSnZtnN9\nkxutNSL+23XxC7w3NUvzNhzc2VGDvUNB7B4MxqaSjQTVuPZeOR/WF+1jbgG1VWCeatdgc0lgYyQl\n3bUa7zEnUbKi4Ru/CaO2Vk+ikk07y4TVyFDnyuTT0xLlEjBZjTDZvS+VNt0lZYLvckO9ei3Uq9ci\ncvvv6qMtoyOQht6CaCQuZ09B0FTrg88SQtNJkxZ3WwewdgOTFiIiohT4U7IMZbs+wXga/9LwBLa1\np684lqyd77w9hS/9am5RyMeurIo7VleTNG9qkxFgm9e3/PhMCP2jc1NrjF3rBcwF0FaVtcy7Bifu\nXm8ecbAK+pONDBnnu2cwGFsE3utXcM/+sbjpavne86Z/bBoP9MYnD25RX7eT627yxvW+NBzGxaga\nV8L5I8u9ePQGPdFKtuakEqe7ZJLgz31WGtG9eRuweZv+hVAQ0qnfQBx6Sx9xefctCMHplO2ak5YW\ncKTFqVhymIjIOfhTsQzl8oS7u8WLTq8HPl8GIy8J7ewbjl9Qvm94Zl75YSB+apN5TwwAOHEpgn8+\nEb8+o3p2ncrRsbnEJTFoMO8aPKNoeHg2WUq17qTPL+OpY5Mp11iYk6ivvTGJX5yXYyM6wPwKZ9mw\nCvr/enhi3vQ0WZ2bcpZLFa9YQK5ocInhuM04jQQlXcBud/TGvE9KqYO7xM+M+e92E/yUyUx1DZRr\nu6Bc26UvyldViO8PQ3r7KKSTA5BODkCYTFHZARYjLTWLoFxzI6LrbsLry67HS5EmR9zLhYQlh4mI\nnIVJShkq1hPuZO3saK/Cy+fl2Ot2tFfFva9/TME/DM6tfZAVLbbZofEkXxQQ23sFs/+2a2Md1ja4\nY4nEnsFgXKUxc7lfWVGhQohVGEusLmYwBx7G/i/p1mM8eoNeUtmYFmdV4SyXe2o1Nc64VwZj3U4u\nVbzMa5Cg6RtxttW6kpaBzratPr+MP3rT2CcFeP6O5pIFd4mB5q6NdfEbRdpc55TRaKUoQm1bBbVt\nFSLb/gugaXrSMpuw2EpagtNw9R+Eq/8gbgawtHopXm68Ds3bbsGqTR8GauY/BKD8YslhIiJnYZJS\npgq5oDPxSXRiO8aoyb7hmXmbOPb5ZdzfG0JYiU9IjOQAmP19dld78w4y47KWcs8Wc7nfL786gr7L\nrtj7zdXFzMzHM87FPJ3MSrJpcYW4311NUmzHek2bOz9j6tvZqSj6/PPX3tiRuAYpcfpYvtac/N2b\nk4jMdoSsAnuHgiUL7hIDzX3DM/M2ikyV4PePKRg4rY+6ZX1vBAHqlVdBvfIqy6RFOPEGpOnUm01e\nHbqAq9+/APzbS9C+J0JdtRbRdTdBue7DUK/q5NSwAqjUNVhEROWKP+kojt0pD5/urJ03xcuoHmVO\nUD6y3Isd7VV47MjEvLLAn19bg388Pg1VA1yiHpCb908RBUBV9YA9sdzv51dEcWzSDVnRX2euLmaW\nGHgkrmFJJpNpcbkydqw3Eq7fW6PvXbJnMIjvvpP9tK90a5DyVTFs/1k5/QuLJLG/d7RX6aNipsAz\nWYJvJNgRNZTRZyWthKQlcPkyGqYu2R5pEVQV0tBxSEPHgee+o08NW9ulJy3X3gStZXn250YxlbgG\ni4ionDFJoTjZTnlIrB4F6InHozfolb/WNrgtF7NftdiF770TxLGxCL77TjAWHB4di2D37HQvUdCn\ngpnPY32dil0b6yxHc8zKIfBIDKyNqWXR2ZLIuUw9SZds5Toi1zsShqYB+viPPvpjbBBZClb9bXz2\n0vV/70gYEQWxEt3G59TYWDRvn53EkRZVhXj2XUjHX8P0631Y9O5xeLVo8rcHp+H69QG4fn0AAKAu\nvQLR6zdB2bAZSuf1gMudn/NcgFhymIjIOSouSQkEUs/9dvrxQ6FQVu/rH1NweFTBpmYJXU1S1m1s\nqFXgFgEoepWpDbURvHxqPO2xXxrW13AkFmadmppGwDuDTi/QudL8lRm8fGoajx4JQVbmRhHCiobz\ngRCWuABltsqWoAHnAyEEAkrs3ccmRDz6VgARBfjVBRkr3OGk5zbX9gwCgfm7yCeTbV9kIhQKobMa\n2N1TFbvHnd4ZTFn0Q7afvUJex4ZaBR5J7zdREPCX13vQ6c3sPttl9zoS+9tu/8c++6p+z6uVGezY\nP4GIArglYE9Pddr/W1lfR30L0PPb+MclH8O3jk3glssnsf3Sm/iv08ex9NK5lMcTL7wPz4s/AF78\nAVRvFeQP3YDGtjWYrHJDrWvI+XyTKdb/j0L71fkg3ng7bOt7Zy6c+rPDSW0U4xoA9oWT2gDYH05q\nAyhuf/h8vpSvtZ2kDAwM4PDhw3j77bcxNjYGQRDQ1NSENWvWYOPGjbjhhhuyP+M8SnfBufD7/QU9\nviHTNvr8ctwO73amBhltmNefAMDAVBhf2+iJPUUGEBshMaZVWY1abGuX8fTJsdheI4A+CjAw5cbW\nVdZ7igycnkREDcVeLwDwSAK2tdcBAJ4+OXdN29rr4kYD+gPjiKj6U2+oqdvJhdV9yveTVp/Ph60+\nYOuquX/b6gP21eavzUJ9bo3zfO74eXxi3fKcztPOPS7k/7+tPmAPxjEw5Y6NoETUcEE+Y8muQ/9/\nFMF/Nm/AL1tuwLrbm1DrCkB6qx/S8V/D9davU04NE+UZVB89hJVHDwEv/BuUqz4UG2VRV64GRDEv\n55/uOsqljT6/jM+8NoWIGi5oRS+n/uxwYhuFPj77wlltsD+c1YbT+iNlknLx4kU888wz2Lt3L95/\n/31omgaPx4P6+npomoZAIIBwOAxBELB8+XLs3LkTf/AHf4CWlpa8XATZk+sUrcT1H+Zyvk8dm6vS\npeCz3M0AACAASURBVGrAI4cCWNvgTrq+IXHDRiPRsQpAzdOcXML8vUFSTdPq8qlFW+Saa2nSbBMc\nY+qJUULZqdPVulu8aGiLYnWOCYoTyr92NUlxiUixF1JbTVfT0ILorXcgeusdkFUV4pkhSMdfg3T8\n15DeeROCknxqmPTeSUjvnQSe+w7U+iYo6zciumEzlGu7gKrSTctzisQpfpVW0Yv7vhBROUuapHzl\nK1/BM888g8WLF2PHjh247bbbsGHDBixbtizudR988AEGBgbw8ssv43vf+x6++c1v4vOf/zwef/zx\ngp886exWpTF+YG2oVbDVF5/cmMsBm8v59rR6YtW5AP33vUNByx98RlB9d6sWexptBNlWAWi69SJW\n+50Yr11fpxZtrUliEpjs+q3kI8Ex3i8JwAN52uTRfHwnBDFOLP9qdz1Tvu9hynURogi1fQ3U9jWI\n3PUAMBOE9FY/XAOHIB09DDEwnvS44uUxiAd+AveBn0BzufWNJDdsRvTGHmhNC/PBUk+rB24JgJq6\n4l85ckriT0SUraRJyoEDB/Dtb38bd911FwRBSHqAZcuWYdmyZbjjjjvw9a9/Hc8//zy+8Y1vFORk\nyZqdYMr8A8st6lN0elo9cCXsVwLEl/PtbvHiyc0+/PGhgF7GV9CrTkVNe5fMG+VIeBqdKgC1u1A1\n8QfuP1wr4t7VxVnkmjjiYx4pSveDP9fgOzGRzMcmj4ZCBjGZBu6lLv+amMAb0n0+Sx4IVtVA6boV\nStet+gL804OQBg4heuQVLPrgdNK3CdEIXMdfg+v4a/D++9/r08JuuhXRrluhLVtRvPMvse4WL/b0\nVMc9VKkUTkz8iYgykTRJefnllzM+mCAI2LFjB3bs2JHTSVHm0gVT5h9YUBALIDXM7cshQK/OlFjO\nd22DG67Z0RQNQESd2xDRzqhCPgLQxB+4/QER92Z8lDmZBNHmJPDsVBTffSdo+wd/rtduvN9Y65OP\nTR4NhQpisgncS1mFzSqBt9u+owJBUYR6VSfUqzoxuO4WrFnSCOnYEX2U5a1fQ5hJvujSmBbm/Y9n\noCxvh9LVg+hNW/R1LCkeUlWCxIcqlaLUiT8RUa4qrroXWTP/wHKLiC0MVmYTD2NPE6NksJlRDlcD\n4jYclGyMqgD5CUATf+B2+RLriNmXKog2Jy+dptM0rw95dihk+wd/rtduXutjvtf5CDgKFcRkG7iX\nqvyrVQJv9zycHAhq9U2IbrkT0S13ApEwpLePQRo4BNfAIYgXzyd9n3R+GNL5YXie/3eozUsRvVEf\nYVHXrAPEwlW/ovwqh/LrRESpZJykTE5O4uzZs7h8+TI0TZv39VtuuSUvJ0b5Zf6BtaE2EvuBZQ6w\nrBIUIPmGiJmMKuQagCb+wG0InMn6WMmC6MTkZXdPVdzUH6vzKEbwbbzf2D8lXbt2R4kKFcQ4OXC3\nYpXAZ+K+jmoAyOtaobxze6CsuwnKupsQfuALED44A9fAIbj6D0Iaeivp28TRC/C8+H14Xvw+wot8\nOL5qI8TuLejY3F3Ek6dscd8XIipntpOU8fFx/Mmf/An27dsHRVHmfV3TNAiCgPHx5As3qbSMH1hG\nDWy7QWqy12U6qpCv8weAwRzKeCcLohOTl8OjSlxZYKvzKCY77VqNEnWmeEshrqXcnuAmS+DTSbzX\npdzEMiOCAG35SkSWr0TkzvsgXBqF9PqrcPUfgHRyAILF93cA8EwHcOObLwJvvojov9dAXHcThJ7t\nUK7rBtzOTkSJiKj82E5SvvjFL2L//v34wz/8Q2zevBn19fWFPC8qErtBqtXryi0YNSQ778TkZVOz\nvaktTqmQBViPEsVvollY5nvx8PrymeefmMDb4aj1KDnQGpoR/eg9iH70HmBqYm6E5c0+CJGw5Xtc\nchCu/gNA/wFo1YsQ7epBtHurXtrYxVnERESUO9s/TV555RU89NBD+OpXv1rI86EyU6xRhWKUeU1M\nXjq96XdNL3l1pwTWo0T53/3ditPuRaGV27Q2W2rrEO35OKI9HwfkEKQ3X4Pr1weANw7BPTNt+RYh\nNA1378/g7v0ZtEV1iN60BdGNt0G5ZoNj17AkW3tGRETOYTtJqa6uxooVC6c0JTmHVfDbUKC2zMlL\nIJA+uM/1aXr/mIKB0/nbqNFqlMjOdeRDpYws2FWuI4m2eauh3LQFyk1bgGgEbx16DdG+A7ju1BF4\npy5ZvkWYnoD7ly/A/csXoNY1IPrh30J041aoq9flfbf7bNlZe0ZERKVnO0n53d/9Xbzwwgv43Oc+\nV8jzIZrHKvi9u7p47acaxcnlaXqfX8b9vSFE1FBeRx5KtWbG6SMLhZiWt2AWJrvc6Lj1ZuDWmxFR\nFSiDb0E9uB81Rw9BnLBOWMSJS/D8/Dl4fv4c1IZmRLtvQ3TjbVBXXVPSssZ2154REVFpJU1S+vv7\n4/5+1113obe3F5/85CfxqU99CldeeSUkaf5QfldXV/7Pkgoq2+At1ftyCQgT32sZ/OawcD6Tc0w3\nhSmXp+m9I2FEFEBB8pEHJ613SSffIwv5vPaFNhWtoEQJaud6BFpXAp95GNLJo3AdeQWuXx+AMD1h\n/ZZLo/D87D/g+dl/QG1uRXTjbYjevB3qlVcV+eSzX3tGRETFlTRJ2bZt27yd5o2Sw7/4xS/mvZ7V\nvcpTtsFbqvf1jyl4oHcMsqJBnN0c8tOdtTmdT2Lwm0t1r3Tnb2ZnClO2T9N7Wj1wSwBU671P+vwy\n7v7pKMIq4BGB5+9odnxgna+RhUyrlKWT7VS0ckoSS0JyQbm2C8q1XZB//0uQ3uqHq+9luPp7IYSs\n17CIoyPw/HgvPD/eC2XlakRv3o7opq3Q6puKcsrZrD0jIqLiS5qk/OM//mMxz4NKJNvgLdX7Do8q\nkBUNKvRd6h85FMDaBndOx833tBq7113IKUzdLV7s6anGwJTbMgjeOxSEPLtnpazqf18ogXK+q5Rl\n048cfcmQywXl+o1Qrt8I+UEZ0vHX9BGWN16FIFsnAtLpQUinB+H5X9+Csu7DesJy4y2At6qgp5rp\n2jMiIiq+pEnK/fffX8zzoBLJNghP9b5NzRJEQU9QAP13u8lPsdY12G2n0Iuju5okbF1VPqV6iyXf\nVcqy6cd8FgJYcNWkPF4oN/ZAubEHsjwD6ehhuI+8DOnoYcuyxoKqwnXsCFzHjkCrqtErhN2yHVhW\n/OlgRETkDFkVtA8EAjh79iwAoK2tDT4fS6OUq2yD8FTv62qS8ORmHx45FICqAV7JfrJRrIpJmbRT\nqMXRfX4ZLw2Hsa1dtjz+zo4a7B4MIqICbhHls1lgHhSiSlmm/Zhpwpxsali+q0mV3RQ0bxWU7o9A\n6f4IEArC9XovXK++COlEP4TZKcRmwkwQ7t79cPfux9KGZqg3b0fklu3QrmhP21TZ3RsiIkoqoyTl\nyJEj+MpXvoIjR47E/fvGjRvx+OOPY9OmTXk9OSqObIPwVO/7dGct1ja4swoYilUxqZSVmWKBq6Lh\n6ZNjllOJulu8eOGO5gUbdJW6clYmiWyqqWH5rCZV9lPQqmsQvWU7ordshzB+Ea7DP9cTlnOnLF/u\nujQK/HgPPD/eA2XlGkRv+Riimz4Kzdc477WlujdMjIiICsN2kvLzn/8c9913H2pra/HZz34WHR0d\nAIChoSF8//vfx44dO7Bnzx5s27atYCdL5aXUQWYh5RqYxAJXpJ5KVMn30ODkIM/u/U81NSyf1aQS\n29k7FHTsvUtHa1yCyJ33IXLnfRDPDMH16otwHXoJYsC6+Ip0+h1Ip9+B59lvQdmwGZHf+m0o13UD\nkv5jrBT79JR90khE5GC2k5THH38cV111FX72s5+hoSF+K73HHnsM27dvx1/8xV8wSSkD+dxAsJQB\nZqnazkdgEgtcFWfuKVIslRLkpZoals9qUuZ2JAHYMxhEVENZ3zsAUFd0ILyiA+Hf/TykE6/rCUt/\nL4Tw/HslqCpcr78K1+uvQq1vQrTndkS23IGe1iV5X8+W7nvM3qEgZhQNGhbGBqZERMVkO0kZGhrC\nl7/85XkJCgA0NjbiwQcfxBNPPJHXk6P8y+cGgsUIMJMFCccmRHzhUGmC23w8sTUC15eGJ7CtvW7B\nBjbFevpd6IQ23dSwfFWTMrdzdiqK774TLOrIQcFJLijXdUO5rhtyKIhw789Q90YvpBOvW65fES+P\nwfPCbnhe2I3f+tD1OLJhO55r6camttz/T6X7/tbnl7F7MAjjrFwCFuzDBiKiQrCdpLS3t2N62rru\nPQBMT09j5cocaoTmSSCQh13+Snj8UCgU+3P/mILDowo2NUvoarI3RSTde14aDiOsACqAsKLhpeEJ\ndHqz+8GqH2t2ypLpWOZryOVc+8cUPaFSALcE7Ompjr2uPyBatp1Pya5jQ60CtwhA0Re0b6iNZPW5\n6PQCK1YoqPbOFLQMqt3+yFU29yCTe5ntdaT6HGXaRqrPbKcXs2WSU/dnrv1htNM/pmHvEJLeu2J+\nrypYG9dtRqh7K8RLo6jpP4CaIz+H+8I5y9dKJ49i7cmj+FBVDYJdWxDcvA2Rto60u9snu45k39/M\nX1dmS4QLAH5npQudKf4vV0R/FLgNJ3+vykQl9EWx2gDYH05qAyhuf6QrvGU7SfnTP/1T/PEf/zE+\n+tGPzttV/rXXXsMzzzyDv/3bv83wVPOvkJXG/H5/USqZ+Xw+9PllPNCb2UiBnfdsa5fx9ydHEZnd\nQHBbex18vvnHtfPkeVu7jKdPzrVnPla6+2TnXAdOTyKihqAAgAoMTLlj5Xq7fKPwSIJl2/lkdR1b\nfcC+2vw9mS/WZ6qQsv2/kem9zKaNVJ+jTNrI5v+k1TFeOhPGtvaqnD83qe5dMb9XFaUNnw9ovxry\nJz+NyLsn4P7lj+HqewXCzPwf2uJMELWv7kftq/uhtF2N6JY7Ebn5Y0BtXeo2EqT6/mb19QfX1if9\nHlRx/ZGBTEcxnfq9KlNswx72h7PacFp/2E5Sent70draio997GO44YYbcPXVVwMA3n33Xbzxxhu4\n5pprcPDgQRw8eDD2HkEQ8OSTT2Z46gRkNw3G7u7oqTYQBFJPc0j8gZNtuWA755pqnv/6OrUopYqT\nWQgL2oul0PcyX3vvJPvM2g3C7FR0y9SC+xwKAtSOayF3XAv5gS/A1fcLuH/5E0hDxy1fLp19F9Lu\np+H5X99GtKsH0d/6bSjX3AiIYtqm7EzhK+X3oHJQKWvOiKg0bCcp//Iv/xL78+uvv47XX3897usn\nTpzAiRMn4v6NSUr2sgms7L4n3QaCqYIxqx842fzQsXOumczzJ0omX8Gk1We2zy/jrp+OxvayeeGO\n5qTHt1vRjWyqqkF0y52IbrkTwvnTcB/4CVyvvghx4tK8lwrRCNxHXoH7yCtQl16JyG13I3Lr7UDt\n/8/efQZGUbVtAL5ntmUDIYFA6E0JoYkIkoAvNXSRDgKCoDRpIiJ+gEpHKWJEmg27QUSlg6BIkdCi\niBSVovQaahLI9p3vByay2ZRNtszs7n39gjmTOc/kzGbnmTkl76d5+f2N4d+gvMkx4xoRBQ6Xk5Rb\nt5z/8JP3FObGyps3Y4Bnv3BcjZU3AeQJnriOcrpmX9xzC+Z/xyWY7fdme8qtHndmdFPyNM1KIJWr\nDHOfETD3HArV73uh+XkjVIeTIUh2p33FqxegW/EutN8tgzU2HprYVsDDDfMdu0IF56m3mEQUnAq1\n4jz5RmFurLx1MwZ4/guHCQj5G3eu2cLO6JbTG0wAQZG0FHi6dLUatkebwvZoUwg3r+HKlo0ovm8L\nSty+7LSrYLFAs3sLonZvga3Sg7DEd4G1cWsgJNQLZ6Isvkp62SWOiNxRqCTFYrk3i4yUw5SQpUqV\ncjsokl9ON2OufuF4ch0WX8npS9sfzyPT/ecTU4jQ+eTeNX2rhWL5yQyY7YBWvPf/vMRG6RCj0xZo\nkoecFnBc8bch4Pv5uztd+n5rMXSxtIWlXiu0TDuOT+xJKH0kCYLN6rSv6tw/UH2aAGnFe7D8ry2s\n8Z1hr/CAJ09HMXw9ToQPo4iosFxOUkwmExISEpCYmIjLly/nmKAAwM2bOa8WTIEhvy8cT67D4iu5\nPan2t/PIlP18EpuEIL4Ak3W4sj6ErxIYd5Mtb4uN0mF9h5Je/X1kf4MJoNDdLv0p+Uy6YobFhkKP\n4flvDJCIbeE18UH9OLw0+AVc2bQequ3rUcV4zelnBGMGtD+tgfanNbBF17n3dqVhc0ATON2UOE6E\niPyFy0nK2LFjsWLFCsTGxqJz584oViz36RzJmZyro/uyXndvLOSQ05c2AL87j0zZz2ffdRvi83go\nnP0ayesmxpdPYd1NtnzF20+Ks7/BBODwJsXVbpeeaDtfJo1NymihUQH4d7r0gnYvzal7qlQsDIm1\nuuENQ0u0vnEYwy/9hMdvHoSYw0M31cmjUJ08Cmn5YliaPg5Ly06Qosp56Ozkw3EiROQvXE5S1q9f\nj759+2Lp0qXejCcgyTUNoxz1untjIYfcvrT97TwyZT+fRiVzXwg0p2skr5sYXz6FLWiyVRj+8mYh\neyJUmH7+7radr5NGV6ZLz+/ncxtbp1Gp8GPJetgZ9QhWPZSO5v/sgrR9I3R3cpgZLD0V2k1fQfP9\nCtgebgxL2x6w1arvtwPtOU6EiPyFy0lKaGgoHn30UW/GErDker3urXrzurFz98ZCDrl9afvbeWTK\nfj4xutxXP8/pGhlXNyzXmxhfPoXNL9lyN8HIKUFTYpeynBTm7Y27beeLpDG7/KZLz48rY+tidEWQ\nVP5p9LzTFu1TfsFzl35C81t/Oh1LkCSof98D9e97YKtQFZY2Pe4NtNeFFDo+uXCcCBH5A5eTlJ49\ne+L777/HoEGDvBlPQJLr9Xph683r5s+VtzPu3ljIIacvbX88j0z3n09qau5JSm7XSG43Mb58CptX\nsuWJt4Q5JWgxlT19FsrhbtsV5A2d0mX/fCRdMeMuVFhZqhG+i2qEhMqpGHrpJ2iSNkPIuOv086oL\np6H6ZD6klR/A0qIjLK26QYqM8vVpEBEFNJeTlOnTp2PMmDHo2bMn+vfvj3LlykGlcv6SatCggUcD\nDARyvV4vTL353fxx0GVgKex6PL68hnNKtjxxHeacoOWe0AWCzN9ncooJCYcLNnNdQd7Q+Zvs10LN\n2g/C3LIWzD2HQr1/GzRbV0N19qTTzwl306Dd+BU0338Na4NmsLTtDnv0Q37bFYyISElcTlIyMjJg\nMBiwbds2bNu2zalckiQIgsDZvXIh1+v1gtab380fB136n/ymUlZy14/cBmp74jrMKUHL661ToHDn\nLZSrb+j8Ta7Jui7k3qr2TTtAPHkE2h++g+rXXU6LRAp2OzS/7IDmlx2wVa4OS9sesMa1DKhZweTm\nL+PHiMhzXE5SRo8ejU2bNqFHjx5o0KABZ/cKUPnd/Pn7oMtg+6Lzpymhs7dNXgO1PXUdKjlB85bC\nvoUK9M9OnteCIMBevS6M1etCuHEVmq1roNm5AcLddKddVWdPQPXhbNi/fg/Wlp1hie/s5cgDn1yT\nzxCRvFxOUrZv345hw4Zh9uzZ3oyHZObKzZ8Sb+xcuYHK7YsukG++/GVK6JzaJr+B2kq8Dv1BYd5C\n+fMkA54mRZaGufdzMHcdCPWeH6H58TuoLp5x2k9MuwXt2s+g2ZCIyjUfhdh7COyVqvk+4ADAbsZE\nwcnlJKVYsWJ44IHAXIGXHPnbzZ+rT9lyWw8lkJ/Q+cuU0Dm1TSAN1FaSwryFCrZJBlyiC4G1ZSdY\nWzyB1RuSUHz7ajx+4yBEOK65ItisKHF0H3B0H6y1H4WlQ2/Y6jzKcSsFwG7GRMFJdHXHAQMG4Jtv\nvoHVavVY5bt370afPn1Qs2ZNREREIDExMavMYrFg6tSpeOyxx1CuXDnExMRgyJAhOH/+vMfqp8CQ\nW/KRXeYXnUr474bd1Z/1V5lTQr9av5iiE7Cc2ibzZjoz9gaRTFI8JTZKh3F1w1y+HnJqH/qXIKB8\nXCz61huPOnHzsaRie1h1oTnuqv7jV+jnvwz95CFQ7/4B+Pf7NHMig+QUky8j9xvZ/xYo9e8YEXmW\ny29SqlWrho0bN6Jp06bo06cPypcvn+PsXt26dXO58rt376JWrVro27cvhg8f7lCWkZGBQ4cOYfz4\n8XjooYeQlpaG1157DT179sTu3buhVrscOgU4V5+y5fYEOdCf0PnDVMq5tU2gDtT2N56YZCCQu1X+\n9/sJQ80ydWAMex6apC3Q/PgdxKsXnfZXnf8Hqg/egP3bD/FP4y7of6cRboj6gHyb6yn+9oafiNzn\n8p3+0KFDs/49bdq0HPcRBKFASUrbtm3Rtm1bAMDIkSMdysLDw7FmzRqHbW+//TYaNWqE48ePo3bt\n2i7XE6xyuilITjFh6xkzWlcxBcwf/IJ0X8n+RefvEwEEEt6EuC/zM1/ZIiLaw8d2p32CYeCz4+9H\nB0ub7rC06grV73thW/UJip7/2+lnxJvXEL1xGf5SJWJZuXgsqdAOSVdcf8NFRBTIXE5S1q9f7804\nXJKefm8mlYiICJkjUb6cbgqAf8df2CQsOnYjoG4U3LmB4s0xBYL7P/NqQYeKFU2KmRgiaAc+iyJs\n9f+Hk2FRiBHM0H7/NVQHdkGQHMethNsMeOn8Roy5sBnXTS0gRjwFe6UHZQqaiEgZhNu3b0v57+Z9\n5cuXx7x589CvX78cy81mMzp16oTixYtjxYoVuR7n5EnnBbeC0Sfn1XjvrAZ2CFBBwnOVLQDgtO3Z\nip4bY0RE8snpM98g3I6RR3Ww2AGNCCytY0LdYvb8D+Zhh9NEjDyqg9UOqGWMQwm0N1MQlbwVkb/v\nhmjNfQxc2gO1kNKoHdKr1uQgeyIKSNHReb/z94uBHVarFcOGDUNqaiq++uqrPPfN74TdcfLkSa8e\nHwBSU1MRHh7u9nG6hpvwyYXMNykiutYpBwD3ttkkaFX3tkV74Wmmp84hL/7UFsFQB9vDc3UU9s3H\n/Z95tQB0rVMOSVfMsEppsAOwSsBZTRR6RDuOTypsfQX5XUUDqFix4PW42x6unJvvPx/RQNz/kJF+\nG5qf1kL4YRW0d1OdfqbYqT9R7NSfsFWOhvmJfrA92hQQc588QgnXrtKPD/BvldLqYHsoqw6ltUeu\nScrw4cMxbtw4VK9evUCVnzhxAgkJCXjvvfcK9HO5sVqtGDx4MP78809s2LABJUqU8MhxA11uYy3W\nto/E1jNpaF3l3mKcCYdzX4mciHzL3dXgMz/zlS0pLk0M4cuxIr7uVqn4cTBhEbB0HYiFFTviwpbv\n8cK5TYgxXHbaTXX2JPRLpsFetiLMHZ+CtXEbgBPHEFEQyPUv3a1bt9C4cWM0btwY3bt3R4sWLXJd\nJ+XUqVPYvn07Vq9ejX379qFNmzYeCc5isWDQoEH466+/sGHDBpQuXdojxw0WOd0UxEbpEKPT4rhJ\nueuDKKEPPZEc3B27kfmZP3nyStb/85oYIpDHivjLuTWqGIYuFVrh47It0PXmQbyXtgURZ/5w2k+8\nfB4hy+bCvvpTWDr0hqV5R0CrvPMJZpnfXfWK2hDv3QfeREEh1yTl66+/xv79+7Fw4UJMmDABNpsN\nYWFhqFy5MiIiIiBJEm7fvo1z584hPT0darUa7du3x/fff4+GDRu6VPmdO3dw6tQpAIDdbseFCxdw\n+PBhFC9eHGXLlsXAgQNx8OBBfPXVVxAEAVevXgVwb2FJvV7vgdMPXkr9Alf80898MMEKfN5sY28s\nWpfXG4xAXiTP1+dW2OvCMZFsB3VUZ2T8/Ueug+zFG1eh+3IhNOu+gKV9L1jiuwD6Ip4+HSqg+7+7\nNCKwrmjgzKBJJJc83xnHxcUhMTER169fx+bNm/HLL7/gxIkTSElJAQCUKFEC3bt3R1xcHNq0aYPI\nyMgCVX7w4EF06tQp6/+zZ8/G7Nmz0bdvX0ycOBGbNm0CALRo0cLh55YsWZLrAHtyjVJvTnyZPHn6\nZtPfEyzKn7fb2NdTYgfyFNy+PDd3r4vsiaS9Wm0Yn58B4dJZaDcuh3rPjxDsjhMNiGm3oFv5AbQb\nlsPSpjvEuDaAl/urU+7u/+6CDYp58Efkz1zq2FqyZEn0798f/fv392jlTZs2xe3bt3Mtz6uM3KPU\nmxNfJU/euNlU6tsp8hx32tjVriC+HrsRyFNw++rcvPXZl8pVhmnoJJi7PgPN919D8/NGCBaLwz5C\nxh1o136O0t9/DWvLzrC0fxJSiVJu100Fc/93l0aEYh78Efkzjr4LYkq8OfFV8uSNmwqlvp0izyls\nG7MrSGDz9mdfKlUW5gFjYen8NDRbvoVm2xoIRoPDPqLZBO2Wb6D5aQ2sTdrD3LEvpKhyHo2Dcnf/\nd1e9ohZ+vok8gEkKKY4vkidv9f1X4tsp8pzCtjG7ggQ2X332pYhImHs/B3PHvtBsXQ3tD99BuJvm\nsI9gtUCzYz3UOzfC2ige5i4DIJWt5JV4yFHmd1dqqvOU0kRUcExSKCh566ZCiW+nyLMK08bsChL4\nCnNdFHpcXNFisHQdCEv7XtBsXw/N5pUQb99w2EWQ7NDs3Qr1vm2wNm4Fc+enmawQkV9hkkJBiwkF\n+YovuoLcf8Nb3ONH909Knm3PI+PiQkLvTUfcqissP65G+LY1EK9fcdhFkOzQ7PkR6r0/3UtWugyA\nVKaiB8+EiMg7mKQQUVDy9Q2sN7uCZL/hXVxbhHfXDFY+pc+259FxcVodMpp0gKZ9T6j3bYNmw3Ko\nLp1x2MUxWWkNc5enmawQkaIxSSGioOPJG1glPK3PfsN7IFVED1kiUQ6lz7bnlcH2KjWs/2sLa+PW\nUP+yE5o1n+WSrPwA9d6tTFYURgl/S4iUhEkKEQUdT93AKuVpffYb3gbh9vx/KMApfbY9T4yLu/+m\nNub+HxdFWONawtqwuWvJymNt7o1ZKVPBvZOiQlPK3xIiJck1Sbl/kUVXCYKAdevWuRUQEZG3peEW\n0wAAIABJREFUeeoGVilP67Pf8BZPPefzGJSmIEmAXE+w3RkXl/2mNrFJiPP6O64mK7u3QL3nRyYr\nMlLK3xIiJck1SbHb7RAEwWHbxYsXcebMGYSHh6Ny5coAgLNnzyI1NRVVq1ZF+fLlvRstEZEHeGp2\nNyU9rb//hvdkLsNe/Lk7SWFidyUJOHDDhn5J/vcEO/tN7b7rNsQ/kMvOWclKs3+Tlc9zT1b23pes\nlGay4itK+ltCpBS5JikbN250+P/evXvx1FNPYfHixejTpw9UKhUAwGazYfny5ZgyZQqWLl3q3WiJ\niDzEE7O7+dPaOP7cncSbse+7bvPLJ9jZb2oblVTl/0OiCta4+Kw3K9o1n0G8dNZhF8Fuhybp3zcr\nTR+/NxtYZJSXzsJ1/pxgu8Kf/pYQ+YrLY1ImT56M/v37o1+/fg7bVSoVnn76aRw/fhyvvvoqfvrp\nJ48HSUSkVP4ylbU/dyfxZuyNSqr88gl29pvaGJ3R9R92NVnZuQHqPVtgie8K8xP9AAg5H8/L/DnB\nLgh/+VtC5Cuiqzv+8ccfqFgx9xlAKlWqhD///NMjQRERkWdlPnlXCVDEzXhyigkJh9ORnGLKd19v\nxt4gUoW17SPxav1ifnfzGxulw7i6YYWP+d9kJeP1j2EcMRn2cpWddhEsFmi3fIMiL/dF2MZEIOOO\nm1EXXE5JKhEFPpffpJQpUwarV6/GoEGDoFY7/pjVasWqVatQpkwZjwdIRETuU1J3koI+Gfd27IH4\nBLtA3aNEFayNWsEa2wLq/TugXf0JxKsXHHYRjAYU27ISUtL3MHd8CpbW3QBdiBfP4D8cr0EUnFxO\nUl544QW8+OKLaN26NQYOHIgHHrg3Qu+ff/7BZ599hiNHjuCtt97yWqBEROQeOW/G779pLkz3LX9L\nJO4/3+Iy1F2o7lGiCtbGrWCNbQ510pZ73cBupjjsItxNh27l+9Bs+QbmLgNgbd4RUGu8dCb3KCnB\nJiLfcTlJeeaZZyCKImbNmoVx48ZlzfwlSRJKliyJt99+GwMHDvRaoERE5J+y3zTPjisW0E/Gs5/v\n4toion1Yv9tjeFRqWJt3hLVxa2h2rIdm3ZcQ02877CKm3kTI5wtg37QC5m7PwvpYa0B0YfB+Iflb\nkkpE7ivQYo4DBgzAU089hd9++w0XLtx7FVyxYkU88sgjTl3A5JKamsvcm35yfIPB4NXj+6IOd45/\n4IYN+67b0KikCg0i8/7CY1sopw6A7VGQOgpynReWktpj6xkzzDYJNgBmm4RLqQYkNgnJ+h3E6IxI\nTXUe+O2vbZ79fA+kimjtw/aoV9QGjQjABmhEoF5RS+Gvh7g2EOo1QZEd61F06yqoTI6/L/H6FYR8\nOBuW9V8irWM/GOs2AoTCDbDn36rgqwNgeyipDsC37REenn1xJ0cFzizUajViY2MRGxtb8Mh8IL8T\ndkdKSopXj58pEOoozPGTU0wur1fAtlBWHWwP191bl8Po1ZmKlNYerauYsOjYf5/t1lWKITZKl/u6\nHoWowx3u1JF97EdyignXrHaoRTMg3Rvo3yDc7tPziA8H1hX15JS94cCTQ3G1SQeUTNoIzY+rIJgd\nJzzQXDmPyI/mwFY1BuaeQ2Gr86hb5+Atnvps5DfmR+nXrVLqUNrfqmCvQ2ntUaAk5ebNm1i6dCl2\n7dqF69ev491330VsbCxu3ryJDz/8EF27dkVMTEyhAiby5ylSiVzlr+ty5Cevm7ZAHVOQUze2SfvT\nYLZLUAnAgOqh6FstFMVTz/k8Nm90j5KKhMH85HOwtO0JzbovoNmxAYLN6rCP6vRx6N8cD2vtR2Hu\n/RzslX3Z0c03gmVKZCK5uZyknD17Fh06dMDNmzdRq1YtnD59OuuVTYkSJbBq1Spcv34db775pteC\npcDGGVwoGPjruhx5ceWmLRDHFGR/sLLujDHr/wBQsagasVE6nPRu7wmfkyIiYR4wFpYOvaFd8ynU\nu3+EINkd9lH/8StUUw/A2rgNzD0GQSoZOLN/8oEakW+4nKRMnToVkiRh3759CAsLQ7Vq1RzKH3/8\ncadV6okKIlCfthLdL3NdjkC6zoP1pi37g5XOVUKw96o5oBLQvEilysI0dBLMj/eFbtXHUP/6s0O5\nIEnQ7PkB6l+2w9Kmx70FIYuEyRSt5/CBGpFvuJyk7NixA2PGjEGVKlVw8+ZNp/LKlSvj0qVLHg2O\ngk8gPm0lyi7QrvNgvWnL6cFKreIajyegBVrzRAZS+SowPj8D4ulj0H79PtR/HXQoFywWaDetgGbn\nRpg79YelVVdAq7zzcFWgPVBT+vVFwcvlJMVkMiEiIiLX8tTUVIiiywvYExFRgAi0m7aCyJ5wejoB\n9afxD/aqNWCckADV4WRoV74H1YXTDuXC3XToVrwLzdZVMPcYAmujVoCf3jcEyoMGf7q+KPi4/Neh\nZs2a2L17d67lGzduRN26dT0SFBFRsElOMSHhcDqSU0z576xAsVE6jKsbxhucXBS2fXPqSqdoggDb\nw3EwzFwG4+AJsBcv6bSLeP0qQt5/Hfppz0H1xwEZgqRMfnd9UVBx+U3KiBEj8Nxzz6FmzZro1q0b\nAMBut+PEiROYN28efv31VyQmJnotUCIiV/hj1wU+zQxsh9NEjN5buPb12650ogrWZh1gjWsJzQ/f\nQbtxOQTDXYddVGdPQj/vJVgfioX5yeeAcOeEhrzLb68vCgouJym9evXChQsX8MYbb+CNN94AAPTo\n0QMAIIoipk+fjg4dOngnSiIiF/jrzX6wDjwPFgdSxUK3r993pdOFwNKpHywtOkK77gtoflrrNG2x\n+kgyVEd/gdSwJdBnOKTIKJmCDT5+f31RQCvQOikvvvgievXqhXXr1uHUqVOw2+2oWrUqOnXqhCpV\nqngpRCIi1/jrzT6fZgae+9/oNQi3u9W+ATH+ISwC5n7Pw9K6O7TfLYNm/3aHYkGSUCR5G6SDSbA8\n3gfmx/sAIaEyBRtcAuL6ooBU4BXnK1SogJEjR3ojFiIit/jrzT6fZgaW7G/0FtcG2/dfUunyMI2c\nCku7J6Fb+R5Uxw45lAsWM7RrP4d65yaYew2B9bG2fju4nojcU+AkZceOHdi1axeuXbuG0aNHo3r1\n6rhz5w4OHTqE2rVr5zkDGBGRN/nzzT6fZgaO7G/0DqSK6NGA7Xs/+4M1YZi4AKpDe6H9+gOoLp1x\nKBdvX0fIh3Ng27oapqdGwV6dE/MQBRuXkxSDwYD+/ftj+/b/XtH26NED1atXh1arxcCBAzF06FBM\nmDDBK4ESEbmCN/skt+xv9BqE2/P/oWAkCLDVewyGh2Kh3rUZmm+XQZV+22EX1enjCH19DCyxLWF+\nchikUmVlCja4JKeYsPWMGa2rmPj3lGTj8jvUmTNnIikpCR988AGOHDkCSZKyyrRaLbp27YrNmzd7\nJUgiIiJ/kflG79X6xbC2fSTqFmOSkieVGtYWT+Dqa+/C3PEpSBqN0y6a5O0InTQA2m8+BAwZMgQZ\nPDK7K771hxldNt/w22nRyf+5nKSsWbMGQ4YMQc+ePaHX653Ko6OjcebMGU/GRkSkSP6+pgl5H9eN\nKThJHwrzk8OQMftzWBq2cCoXLBZoNyQidEI/qHduBOw23wcZBLK6K4Jrp5C8XO7udePGDcTExORa\nLggCjEajR4Iiysn9s+UUlzsYClr+Os2xv/LHdW8CnbfbRCpVFqbR02A5fhi65YuhOnPCoVxMvYWQ\nj9+8N16l32jYa9TzeAzBLKu7os2/JiChwONyklKhQgUcP3481/J9+/bhgQce8EhQRNk5z5YjIlru\noCgo+es0x/7owA0b+iUpMyEM1uTJl0m6PaYuDFPfg3rPD9B+8yHE2zccylXn/kbo7LGwPtoMpief\ng1S6vFfiCDaZ3RW3nklD6yrFgur6JmVxubtXr1698Nlnn2Hv3r1Z2wRBAAB89NFHWLNmDfr27ev5\nCImQ82w5RHLIfMqoEsCnjF6277rNKSFUgswb9dd/SwuKPvuZ3RsP3LDlmKR7lSjC2qQ9MuZ+AXPn\npyFpnD9v6l9/Rugrz0D79fscr+IhsVE6jIoJrgSclMflNynjxo3DgQMH8MQTT6BatWoQBAETJ07E\nzZs3cfXqVbRv357rp5DXcLYcUgp/nubY2zz9dqFRSZUi170J5Ldp2dvw/jcnGhGYEyfTWkQhoTD3\nGAxLiyegXfkBNPt+cigWrBZoN30F9Z4fYO49HNbGrYF/H6QSkX9yOUnRarX45ptv8M0332DNmjUQ\nBAFWqxUPP/wwunXrht69e2e9WSHytOw3hsVTz8kdEgUxTnPsLK9uQIVNXhpEqhSZEMqxaKgvupfl\n1Ib3J2SwAYduWNCn2r3Jc/pWC/V5m0iRpWEaMRmWNt2hS1wM1am/HMrF2zcQ8v7rsG1fD9PTY2Cv\nVM2n8RGR5xR4McdevXqhV69e3oiFKE/33xieTJU5GCJykNvbBXfHMCgxIfT12zRfjQPJqQ1L6AQI\nuNc3XCUCiSczYJPudXXsWy3U4zG4yl6tNgyTl0C97ydoV74P8dZ1h3LVicPQTxkGS3xnmHsMBoqE\nyRQpERVWgZMUADh69CjOnbv3JLtSpUqoU6eOR4NyR2qqd+9evX18g8Hg1eP7og5fnAPAtlBSHQDb\nQ0l1AL5vj3pFbdCIAGyARgTqFbUgNTUVW8+YYbb9O52pTcLWM2mI0bn25kHJ7RGjA2IqA4ARqan5\nz2zpTnu48jv0xO8qexvqbUZM3G+GXQJEAWhaEtiRgkK1pSsKdQ61YyG8UhdhP36Doj+tgWCzZhUJ\nkh3an9ZAtW8b0jo9jYxGrQDwb5WS6gDYHkqqA/Bte4SHh+e5b4GSlDVr1mDy5Mm4ePFi1mKOgiCg\nXLlymDFjBrp3716IcD0rvxN2R0pKilePnykQ6vD28dkWyqqD7aGsOuRoj/hwYF1R5y5JrauYsOjY\nf28BWlcphvBw198CsD2AcuF3IAhmiBKgVeX+O3T3PLK3YdIVMyx2M+wABABliqihEq2w2++9VSlo\nW7qicOcQDvQbjYzWXaFLXAz1oX0Opaq7aSi+YgmK7d+KOy26Izza+3NDBsJ164s6+N2hrDqU1h4u\nJykrVqzAiBEjEB0djenTp6NatXv9PP/++298/vnnGDJkCMxmM/r06VO4iImIyK/l1DWLEw24JznF\nhEn707LeZsyO8+6UsNnb8P6xN3XCRXz773YljkCVSleAcdwcqH7fA13iYogplxzKVaePI+b0bFj+\n/h3mXkMhhZeQKVIicoXLScr8+fPRoEEDbNiwASEhIQ5lQ4cOxeOPP4758+czSSEiIgdKHFfiLzLH\niWS+zbhpknxWd/YEc+uZNFglQAJglaDYWc1s9R5DRq0G0GxeCe36LyGYHaeI1uz6Hupff4a5+7Ow\ntOoKqArV852IvMzlxSYuXLiAXr16OSUoABASEoLevXvj4sWLHg2OiIgomMm9Lk9slA7j6oYhNkqX\nNSW0X6wRpNXB0vlpZMz5HJaGLZyKBcNd6BIXQz9lKFR/Hcz3cJlrxQT6mjhESuLy44MaNWrg8uXL\nuZZfunQJMTExHgmKiIiIlNVdTqlTQudFiiwN0+hpsP75G7RfLITq0hmHctWF09DPeRGWuJYw9x0F\nqXhJp2P4anY1InLk8puUGTNm4LPPPsPq1audyr777jt8/vnnmDlzpkeDIyIiCnb3v83wBHfeCng6\nFl+x1aoPw8xluNDmSUghzlMna/ZvR+jEAdD88B1gtzmU5TQ1MxF5n8tvUhYtWoTIyEgMHjwYEydO\nRNWqVQEAp0+fxrVr1/Dggw9i4cKFWLhwYdbPCIKAlStXej5qIiKiAOeNBRyD+q2AWo1rcW1Q/Ine\n0H7zATRJWxyKBWMGdImLoE7aAtMz42B/oAYAeRbvdJUvFvkkkovLScqxY8cgCAIqVKgA4F73LgDQ\n6XSoUKECTCYTjh8/7vAzXIGeiIio4LyVTOS26GYwkSIiYRo6CZaWnaH7fAFUZ086lKvOnoB+xghY\n4rvA3GMwYqPCFNnNLagTTgoKLicpR44c8WYcRERE9K+v/s6A0SZBgmeTCSW/FfA1e7XaMEx7D5qf\n1kL77TIIxoysMkGSoP1pDdS/7oS5z0jENm6tuASACScFOpfHpBAREbmLsyTlLznFhOUnM5A52bBK\ngMeSicyB+K/WL8Yn7wAgqmBp0/3eLGBxLZ2LU28h5P3XETLvJQiXz8kQYO7knvmNyNsKPTn4rl27\nsHLlSly5cgXVq1fH8OHDUbFiRU/GRkREAYTdU1yTdMUM678ZigCgX3SoR39PXLfGmVS8JEwjp8La\n9HHovlgA8arjkgrqP3+D6rXBsDzeB+ZO/QGt/L8/Jc38RuQNeb5JmTNnDsqWLYvr1687bE9MTESX\nLl3w5ZdfYuvWrVi6dCni4+Nx7pyynjIQEZFycJakvGW+ZSqhE7KekIeoBPSt5jwbFXmH7aGGyJj1\nMcxdB0JSaxzKBKsF2nVfIPSVZ6E6vF+mCB3562xrRK7IM0nZtWsX4uPjUbLkf/OGm0wmTJo0CcWK\nFcPatWtx4cIFfPzxx7hz5w4SEhK8HjBRYbGbCXkDryvXKbV7ihLaMPMt0+u/pWHS/jTMjivGLlly\n0epg7vYsMl7/GNbaDZyKxWuXoH9rAkIWT4Vw85oMARIFhzy7e506dQqDBg1y2LZz506kp6dj8uTJ\naNasGQCgW7du2LFjB3bs2OG1QIncwW4m5A28rgpGid1TDtywoV+S/G2Y/S3TTZOEcXXDfB4H/Ucq\nUxHGl+dDvX8btMuXQEy96VCu/mUnVEeSYe4xGJbW3QBRJVOkRIEpzzcpt27dQpkyZRy27dq1C4Ig\noF27dg7b69WrhytXrng+QiIPYDcT8gZeVwWntO4p+67bFNGGSn3LFPQEAdZGrZAx53OYW3eDJDje\nNglGA3SJi6GfMQriuX9kCpIoMOWZpJQuXRqXL1922LZ3716EhoaiRo0ajgcSRWi1/KNKysQbAPIG\nXlf+r1FJlSLakLNuKVxoUZiffgGGqe/CVjXGqVh1+hj004ZB+82HgJldP4k8Ic/uXg0aNMBXX32F\nYcOGISIiAkePHsXBgwfRvn17qFSOrzWPHz+O8uXLezVYosJSYjcT8n+8rvxfg0iVYtqQs24pn71q\nDAxTlkKzbd29tVUMd7PKBJsN2g2JKL1/GyyD/w+2mo/IGGnuuEo9+Ys8k5QJEyagefPmaNCgAWJi\nYnDkyBEIgoCxY8c67CdJEjZs2ID4+HivBkvkDt4AkDf483UVaDcrhT0ff25DX0lOMWHrGTNaVzHx\ndyWqYGndDdZHm0H3xTtQ//qzQ7H62mWo57wIS7PHYeozAiiinLFFHEdH/iTP7l4xMTFYt24dGjRo\ngOvXryMuLg6rVq1Cw4YNHfbbtWsXihYtis6dO3s1WCIi8oz7Z5PqsvmG4mYnS04xYclxs8txKf18\n/Fnm7/atP8z83d5HioiE8fkZMIyZCXtESadyzc+bEDppANT7twOSlMMRfI/j6Mif5LuYY2xsLFau\nXJnnPs2aNcOePXs8FhQREXlXTjcrSnmimvW01yZh0bEbLj3tleN8Au1NVG6yfrdQ3rWiBLYGTZFR\n8xHovvkQmm1rHcrE1FsIWTod1j0/wDTgRUiRUTJFeU/mOLrMNykcR0dKVugV54mIyH8p+WalMDfF\nvj6fYOo2k/W7tSnvWlGM0KIwDXwRlsatoVk2F5qrFxyK1b/vherY7zD3HApLqy6yTVfMcXTkTwIu\nSUlNTfXr4xsMBq8e3xd1+OIcALaFkuoA2B5KqgPIvz1idEBikxDsu25Do5IqxOiMSE01unx8b55H\nvaI2aEQANkAjAvWKWrx2PoU9j61nzDDb/k2kbBK2nklDjC73m3d//nxk/m53XTaiadmQAl8rrlLK\nZ8MtpSvBMGY2opI2IeyHbyDYrFlFgtEA3ZcLISRtwa0+o2AtV7nQ1bjzu4rRATGVASDvdgyI9kDg\n/F0PxPYIDw/Pc9+AS1LyO2F3pKSkePX4mQKhDm8fn22hrDrYHsqqw9X2iA8H4h8ofD3eOo/4cGBd\nURO2nklD6yrFXH7aW9jzKcx5tK5iwqJj/71JaV2lGMLDc44zED4f8eFAg8hUfne4SOzzHDKatkPI\nx/Oh+vuoQ5n2zHFEvTkOlieegvmJfoC2cG8z/P2aAgLjsxFIdSitPQIuSSEiIv8XG6VDjE6b642/\n3NhthvIjla8Cw6sLod6+HrqV70MwZmSVCTYrtGs/hzp5B4xDJsBerbaMkRIpU56zexEREVHOYqN0\nGFc3jAkK5U4UYW3VBRmzP4O1/v+ciy+fg37WaGi/WgqYPN+FjsifMUkhIiIi8iKpRCkYx8yCYfR0\n2MNLOJQJkgTt5pUInTwY4vHDMkVIpDxMUoiIiIi8TRBga9gcGbM/g6V5R6di8epF6Ge/AO2XCwGT\nbwZJEykZkxQiIiIiXykSBtOgl2F4eT7skaUdigRJgvbHVQh9dRBUfx2UKUAiZWCSQkREXpecYkLC\n4XSuVk4e56/Xlq3Oo8h4/RNY4rs4lYnXLkM/50XoPk0ADBk5/DRR4OPsXkRE5FXBtPAh+ZbfX1v6\nUJgGvghrbAvoPnoT4rVLDsWa7eugOrwfpmfHw/ZQQ5mCJJIH36QQEZFXZa0gL/23gjyRJwTKtWWr\n+QgyXv8I5jY9IAmCQ5l44yr081+G7qN5QMYdmSIk8j0mKURE5FVNymihFQWoBEArCmhSJveV2YkK\nIqCuLZ0e5v7Pw/DKO7CXruBUrPl5E0JfeQaqQ/tkCI7I99jdi4iIvCoYFj5MTjEF9PkplVKvLXeu\nB3v1usiYuQzaVR9Ds+VbCJI9q0y8dR36hIkoHtsS9mfGAUXCPB06kWIwSSEiIq+LjdIp5gbS0/x+\nXISfU9q1deCGDf2S3LwedCEw9x0Ja8PmCFk2F+Llcw7FocnbYT9xGKZB/wfbw3EejJ5IOdjdi4iI\nyA2BMi6CPGPfdZvHrgd7tdrImPEhzB2fgiQ43rKJt29AnzABuo/ncwYwCkhMUoiIiNwQUOMiyG2N\nSqo8ez1odTA/OQyGqUthq1DVqVizc8O91eqPHXKvHiKFYXcvIiIiNyh1XATJo0GkyivXg71qDRim\nvQ/t2s+h2bDccazKtcvQzxkLS7teMPcYDGh5DZL/Y5JCRETkJqWNiyB5ee160Ghh7jkEt6ProuTy\nRRCvnM8qEiQJ2s0roT68H8Zhk2CvWsPz9RP5ELt7EREREfkRS5WYe2NV2vRwKhMvnYV+xkhoV30C\nWK0yREfkGbImKbt370afPn1Qs2ZNREREIDEx0aFckiTMnj0bNWrUQJkyZdCxY0f89ddfMkVLRERE\npBC6kHvrqkxIgD2ytEORYLdDu/Yz6GeMhHjhtEwBUk6SU0xIOJyO5BST3KEonqxJyt27d1GrVi3M\nmTMHer3eqfydd97BkiVLMHfuXGzbtg2lSpVCt27dkJ6eLkO0RERERMpiq1UfGbM+gqVpB6cy1dkT\n0E8bBs2mFYDdJkN0dL/M6cpf/y0NXTbfYKKSD1mTlLZt22LKlCno0qULRNExFEmS8O6772Ls2LHo\n0qULatWqhXfffRd37tzBt99+K1PERERERAoTWhSmIRNgGPsG7OHFHYoEiwW6r9+DfvaLEFIuyRQg\nAZyuvKAUOybl7NmzuHr1KuLj47O26fV6PPbYY9i/f7+MkRGRK/hKm4jIt2yPPIaM1z+BtWFzpzLV\nicMIfW0Q1NvXAZIkQ3TE6coLRrh9+7YirtTy5ctj3rx56NevHwBg//79aNeuHY4cOYKKFStm7Tdq\n1ChcvnwZq1atyvE4J0+e9Em8RJS7w2kiRh7VwWIHNCKwtI4JdYvZ8/9BIiJynySh+B/JqLB5OdRG\n54Ue0x6sg7OdnoG1aLgMwQW3w2kiDqSKaBBuD/rvxejo6DzLA24K4vxO2B0nT5706vEBIDU1FeHh\n3v2j4e06fHEObAtl1ZG9PdYfTodVSoMdgFUCzmqi0CM6zK06AuV3xc9H8NXB9lDG8YEga4vq1WFq\n0R74aB7UR5Idior9cxR1PpoJ46CXYavfpPB1uCmQ2yM5xZTjWjnRAJznZCtcHZ6mtPZQbHev0qXv\nzVRx7do1h+3Xrl1DVFSUHCERkYv4SpuISH5S8ZIwvjQXxmdegqQLcSgT0lOhf+c16D6eD5gMMkUY\nmD49fgePb7qOWQc4QN4dik1SKleujNKlS2P79u1Z24xGI/bu3Yu4uDgZIyOi/GSuwP1q/WJY2z6S\ni9wREclFEGBt2QkZsz6GLbqOU7Fm5waETh4K8dQxGYILPMkpJozfmwqrBNgBmGwcIF9Ysnb3unPn\nDk6dOgUAsNvtuHDhAg4fPozixYujYsWKGDFiBBISEhAdHY1q1aph/vz5KFKkCHr27Cln2ETkAq7A\nTUSkHFJUORheeQeajV9Bu/oTCLb/piQWr16AftYomLs+A8sTTwGiSsZI/VvSFTPs9432FgWwN0Eh\nyfom5eDBg2jWrBmaNWsGg8GA2bNno1mzZnjjjTcAAC+88AJGjBiBl19+GS1btsSVK1ewatUqhIW5\n17ediIiIKOiIKlg69YfhtSWwl6noUCTYbNB99xH0b7wA4dplmQL0f03KaKFTCRABqAVgfuNwPrAr\nJFnfpDRt2hS3b9/OtVwQBEyaNAmTJk3yYVREREREgcv+QA1kzPgAuuVLodmx3qFMdfIoQl8bDFPP\nYUDrLoAgyBSlf8rs7pzToHkqmICb3YuIiIiI8qHTw/TsS7A+3AghH8+DkJ6aVSQYM1DiywWwnDgE\n0zPjgCLswVIQ7O7sGYodOE9ERERE3mWr/z9kzPoY1rrOkxJpkrcj9LVBUP11UIbIKNgxSSEiIiIK\nYlJEJIzj5sD09AuQNI6DvMWb1xAydxy0X78HWDhLFfkOkxQiIiKiYCcIsLTuhozpH8D1Gtv3AAAg\nAElEQVRWqZpjkSRBu2kF9DNGQrh4Rp74KOgwSSEiIiIiAIBUvgoMU5YivVV3SNkGzavO/Y3Qac9B\nvX09IEm5HIHIM5ikEBEREdF/NFqkdRkI44QE2EuUcigSzCaEfPoWdEumA3fTZQqQggGTFCIiIiJy\nYqv5CDJmfQxLXEunMs0vOxA6ZQjEk0dliIyCAZMUIiIiIspZkTCYRkyBcehESLoQhyLx+lXo3xgD\nzbovALstlwMQFQ6TFCIiIiLKnSDA2qQ9MmZ8CFvlaMciux267z5CyLzxEG5ekylACkRMUoiIiChP\nySkmLDluRnKKSe5QSEZSmYowTF4Cc7teTmXqvw4idPJgqH7fI0NkFIiYpBAREVGuklNM6LL5Bt76\nw4wum28wUQl2Gi3MT42CYdwcSGHhDkXCnTTo334F2i8XAWZeJ+QeJilERESUq6QrZpjtEmwAzHYJ\nSVe4oB8Btocb3VupvlZ9pzLtj99BP3MUhMvnZIiMAgWTFCIiIspVkzJaaEUBKgBaUUCTMtp8f4aC\ngxQRCePL82HqNRSS6HhLqTr3N0KnDIP65++5pgoVCpMUIiIiylVslA5r20fipdparG0fidgondwh\nkZKIIixP9IPh1UWwlyzjUCSYjQj5aC50784EMu7IFCD5KyYpRERElKfYKB1GxWiZoFCu7NVqI2Pm\nspzXVNm/DaFThkL8508ZIiN/pZY7AE9LTU316+MbDAavHt8XdfjiHAC2hZLqANgeSqoDYHsoqQ6A\n7aGE42diW3i5jqdeQOgDdRD+3QcQ7xs8L167DP3rY5DaeSDutugECAIAtoeS6gB82x7h4eF57BmA\nSUp+J+yOlJQUrx4/UyDU4e3jsy2UVQfbQ1l1sD2UVQfbQznH98e2SE4xIemKGU3KOL7JUvR5tO8B\nQ91HEbJ0BlTn/8naLNisiFj9EYqePQbjkIlIcaeOAmAdrlHa54PdvYiIiEg2ySkmJBxOx4EbXLE8\nu8zpn1//Lc3vpn+WylWGYcpSmNt0dypT/7YboVOGIvTiaRkiI38RcG9SiIiIyD9k3oSb7RI0IrCu\nqInjXu6TNf2z9N/0z371+9HqYO4/BraajyBk2RwIGXezisTrVxD92VxYzGmwtOmR1f2LKBPfpBAR\nEZEs7r8Jt9jANViyyZr+WfDv6Z9tDZoiY8Yy2KrGOGwX7TboEhcjZNEU4G66TNGRUjFJISIiIlnc\nfxOuUcFvb8K9JXP651frF/P76Z+lUmVheHURzG17OJWpD+xC6NRhEE8dkyEyUip29yIiIiJZZN6E\nJ10xo15Ri1/fhHtLbJQucH4vGi3M/Z6HLeZhhHw017H717XL0M8aDXPfkbC07sbuX8Q3KURERCSf\n2CgdxtUNQ4NIldyhkI/YHm2GjOkfIqNsZYftgs0K3ZcLEbJ4Khd/JCYpRERERORbUlQ5nBg4AebW\n3ZzK1L/+jNApwyCePi5DZKQUTFKIiIiIyOcktQbmp1+AYfQ0SPoiDmXitUvQzxoNzY+rAEmSKUKS\nE5MUIiIiIpKNrWELZEz/ALbK1R22C1bLve5fS6ax+1cQYpJCRERERLKSSpeH4bVFMLfq6lSm/mUn\nQqc9B/HcPzn8JAUqJilEREREJD+tDuYBY2EcORVSSKhDkXj1IvQzR0K9+weZgiNfY5JCRERERIph\njWuJjBkfwFapmsN2wWxCyAdvQPdpAmDhwp+BjkkKERERESmKVLoCDJOXwNKik1OZZvs66F9/HsL1\nKzJERr7CJIWIiIiIlEerg+nZl2AcMgGSRutQpDp9HKFThkF1JFmm4MjbmKQQERERkWJZm3aAYfIS\n2EuVc9gu3E1DyFsToFn9KWC3yxMceQ2TFCIiIiJSNHvlaGRMfx/Weo85bBckCbo1nyIkYSJwJ1Wm\n6MgbmKQQERERkfIVCYPxhVkw9RwKSXC8hVUfSUbo1GEQTx+TKTjyNCYpREREROQfRBGWTv1gfPlN\n2MMiHIuuX4V+1vNQb1/PVeoDAJMUIiIiIvIrttoNYJjxAWzVajtsF6wWhHz6FnTL5gAmo0zRkScw\nSSEiIiIivyOViIJh0gKY23R3KtMkbYF+1iiorl2WITLyBLXcAXhaaqp3B015+/gGg8Grx/dFHb44\nB4BtoaQ6ALaHkuoA2B5KqgNgeyjh+JnYFsqpA/BQe3QaCH25qoj4ajFEsylrs+rcPyj15jjcfnos\njA/FuV9PLtgerrv/PMLDw/PcN+CSlPxO2B0pKSlePX6mQKjD28dnWyirDraHsupgeyirDraHco7P\ntlBWHR5tj/hOMFavg5DFUyBePp+1WWXMQOSHb8DcdSDMXQYConc6EbE9XOdqHezuRURERER+z16h\nKjKmvg9rw+ZOZdo1nyHknVeBjDsyREaFwSSFiIiIiAKDPhTGUdNg6jsKUra3Jurf9yJ0+ggIF8/I\nExsVCJMUIiIiIgocggBL+14w/t9bsBV17FokXjmP0BkjoPp1l0zBkauYpBARERFRwLHVfATXXn4L\ntqoxDtsFowH6RZOh/e4jwG6TKTrKD5MUIiIiIgpItuKlYHhlISxN2juVadd9gZAFrwJ302WIjPLD\nJIWIiIiIApdWB9OQCTAOGAtJpXIoUh/ah9DpwyFeOCVTcJQbJilEREREFNgEAdZWXWGY8DbsxYo7\nFIlXL0I/YyRUv+yQJzbKEZMUIiIiIgoK9pi6MEx/H7YHajpsF0xG6BdPg3blBxynohBMUoiIiIgo\naEglomB45R1Ymnd0KtNuXI6QhInAnTQZIqP7MUkhIiIiouCi0cI06GUYn3kJkkrtUKQ+8gtCpw2H\neO4fmYIjgEkKEREREQUpa8tOMExaAHt4CYft4rVL0M8cBfX+7TJFRkxSiIiIiCho2aPrwDD9A9iq\n1XbYLpiNCFk6/d/1VOwyRRe8mKQQERERUVCTipeEYdICWFp2dirTrvsCIYsmA4YMGSILXkxSiIiI\niIjUGpieGQfjoJchqTWORb/thn7WKAgpl2QKLvgwSSEiIiIi+pe1eUcYJr4Ne7jjeiqqC6cROm04\nVH8dlCmy4MIkhYiIiIjoPvboOjBMfR+2ytUdtgt30xAy7yWof1ojU2TBg0kKEREREVE2UmQUDK8u\nhCWupcN2wW5HyOcLoPs0AbBaZIou8DFJISIiIiLKiS4EphFTYOo5xKlIs30d9PPGQ0xPlSGwwMck\nhYiIiIgoN4IAS6f+MLwwC1KI3qFIdfwQSr01ngs/egGTFCIiIiKifNjqN4Fh8hLYS5V12K6+mQL9\nrFFQ/fqzTJEFJrXcAXhaaqp3X7l5+/gGg8Grx/dFHb44B4BtoaQ6ALaHkuoA2B5KqgNgeyjh+JnY\nFsqpA/DD9giLhDhuHkp8PA+6k0eyNgsmI/SLpiCtQ1+kt3sSED37HiAQ2yM8PDzPfQMuScnvhN2R\nkpLi1eNnCoQ6vH18toWy6mB7KKsOtoey6mB7KOf4bAtl1eG37REeDsvEtyF8tQTarasdiop9/xVC\nr12EcdgkQKfP5QCFrTa42oPdvYiIiIiICkKthvnpF2B85iVIosqx6NefoZ81GsL1KzIFFxiYpBAR\nERERFYK1ZSdcHz0TUpjj2wHVuX+gnz4C4t9/yBSZ/2OSQkRERERUSOZqtZEx9T3YKj7osF1MuwX9\nnLFQ7/1Jpsj8G5MUIiIiIiI3SKXKwvDaIlgfbeawXbBYEPLeTGhXfQJIkkzR+ScmKURERERE7goJ\nhXHUNJg7P+1UpF37GXTvzgDMJhkC809MUoiIiIiIPEEUYe4xGMZhr0BSaxyKNPu3Qz97LITbN2QK\nzr8wSSEiIiIi8iDr/9rCMCHBeUD9qb/uDajnCvX5YpJCRERERORh9uoP3RtQX66Kw3Yxc4X6g3vk\nCcxPMEkhIiIiIvICqVRZGCYvhvWhWIftgsmIkHdehWbzSg6ozwWTFCIiIiIibwktCuOLb8DcprvD\nZkGSoPtqKXSfvAVYrTIFp1xMUoiIiIiIvEmlhrn/GBgHjIUkOt5+a3ZuQMhb/wfcSZMpOGVikkJE\nRERE5APWVl1hHDcXkr6Iw3b1n78hdMZICFfOyxSZ8jBJISIiIiLyEdtDDZExeQnspco6bBevXkDo\njJFQ/XVQpsiUhUkKEREREZEPSeWrIGPKu7BVf8hhu3A3HSFvjod650aZIlMOJilERERERL5WLAKG\n/3sLlv+1c9gs2GwI+fhNaL9dBtjtMgUnPyYpRERERERy0GhhGjoRpl5DnYq067+E7r1ZgNkkQ2Dy\nU3SSYrPZMGvWLNStWxelS5dG3bp1MWvWLFg5TRsRERERBQJBgOWJfjA8PwOSRutQpNm/Dfo3x0O8\nG3wzfyk6SVmwYAGWLVuGuXPnIjk5GXPmzMGyZcuQkJAgd2hERERERB5je7QZDJMWwB4W4bBddeII\nSiVMgHD1gkyRyUPRSUpycjLat2+PDh06oHLlynj88cfRvn17HDhwQO7QiIiIiIg8yv5gLRimLIW9\nbCWH7eprlxA6YyTEk0dlisz3FJ2kNGrUCElJSThx4gQA4NixY9i1axfatGkjc2RERERERJ4nRZVD\nxuQlsNao57BduJMG/dwXoUreIU9gPibcvn1bkjuI3EiShFmzZiEhIQEqlQpWqxXjx4/Ha6+9luvP\nnDx50ocREhERERF5nmC1oNKGz1Hi6D6nsovxPZDSuB0gCDJE5hnR0dF5lqt9FEehrFq1CitWrMCy\nZctQo0YNHDlyBBMnTkSlSpUwYMCAHH8mvxN2x8mTJ716fABITU1FeHi4X9fhi3NgWyirDraHsupg\neyirDraHMo4PsC2UVgfbwwU1ZsO8+lNo137msLn8tu8QZTfDNOAFQOWZ23mltYeik5QpU6Zg9OjR\n6NGjBwCgdu3aOH/+PN5+++1ckxQiIiIiooAgCDB3fxZ3i0YgYsViCDZbVpFmx3oIN67AOGoaoC8i\nX4xeougxKRkZGVCpVA7bVCoV7EG8sA0RERERBZeMuHgYx78JKdQxGVEf+QX618dAuJkiU2Teo+gk\npX379liwYAG2bNmCs2fPYv369ViyZAmeeOIJuUMjIiIiIvIZW636yHhtCewlSztsV53/B/rpIyGe\nDaxx2YpOUubNm4fOnTvjpZdeQlxcHF577TUMHDgQkydPljs0IiIiIiKfkspXgWHyUtiqxjhsF29f\nh/6NMVAdch5k768UnaSEhYVhzpw5OHr0KK5cuYJDhw5hypQpCAkJkTs0IiIiIiKfkyIiYZi0ANb6\n/3PYLhgNCHn7Fai3r5MpMs9SdJJCRERERETZ6PQwPj8D5rY9HDYLkh0hnyZA++0yQFLsKiMuYZJC\nRERERORvRBXM/Z6Hqd/zkLKtl6Jd/yV0H84BrBaZgnMfkxQiIiIiIj9ladsDxjEzIWl1Dts1u7cg\nJGESYLgrU2TuYZJCREREROTHbPWbwDAhAVKY40KJ6j9+hf6NMRBuXZcpssJjkkJERERE5Ofs1Wrf\nm6I4qpzDdtW5f6CfOQrCxTPyBFZITFKIiIiIiAKAVKYCDJOXwFa1hsN28cZVhM4aDfHYIZkiKzgm\nKUREREREAUIqVhyGSW/DWq+xw3Yh4w70b46HKnmHPIEVEJMUIiIiIqJAotPDOGYmLC06OWwWrBaE\nLJ0OzeZvZArMdUxSiIiIiIgCjUoN0zPjYOox2GGzIEnQrvsCQtotmQJzDZMUIiIiIqJAJAiwdH4a\nxqETIalUAABJo4XhxTcgFSsuc3B5Y5JCRERERBTArE3aw/jiHEihRWAcPhn26Dpyh5QvtdwBEBER\nERGRd9keaoi781cARcLkDsUlfJNCRERERBQM/CRBAZikEBERERGRwjBJISIiIiIiRQm4MSmpqal+\nfXyDweDV4/uiDl+cA8C2UFIdANtDSXUAbA8l1QGwPZRw/ExsC+XUAbA9lFQH4Nv2CA8Pz3PfgEtS\n8jthd6SkpHj1+JkCoQ5vH59toaw62B7KqoPtoaw62B7KOT7bQll1sD2UVYfS2oPdvYiIiIiISFGY\npBARERERkaIwSSEiIiIiIkVhkkJERERERIrCJIWIiIiIiBSFSQoRERERESkKkxQiIiIiIlIUJilE\nRERERKQoTFKIiIiIiEhRmKQQEREREZGiMEkhIiIiIiJFYZJCRERERESKwiSFiIiIiIgUhUkKERER\nEREpCpMUIiIiIiJSFCYpRERERESkKExSiIiIiIhIUZikEBERERGRojBJISIiIiIiRWGSQkRERETk\nB5JTTEg4nI7kFJPcoXidWu4APC01NdWvj28wGLx6fF/U4YtzANgWSqoDYHsoqQ6A7aGkOgC2hxKO\nn4ltoZw6ALZHQeo4cMOGp5IMsNgAjQpY3kSPBpEqj9bjy/YIDw/Pc9+AS1LyO2F3pKSkePX4mQKh\nDm8fn22hrDrYHsqqg+2hrDrYHso5PttCWXWwPQrm9xQRFrsBNgCwA7/f0SD+gTCPHV9p7cHuXkRE\nRERECtekjBZaUYBKALSigCZltHKH5FUB9yaFiIiIiCjQxEbpsLZ9JJKumNGkjBaxUTq5Q/IqJilE\nRERERH4gNkoX8MlJJnb3IiIiIiIiRWGSQkREREREisIkhYiIiIiIFIVJChERERERKQqTFCIiIiIi\nUhQmKUREREREpChMUoiIiIiISFGYpBARERERkaIwSSEiIiIiIkVhkkJERERERIrCJIWIiIiIiBSF\nSQoRERERESkKkxQiIiIiIlIUJilERERERKQoTFKIiIiIiEhRmKQQEREREZGiCLdv35bkDoKIiIiI\niCgT36QQEREREZGiMEkhIiIiIiJFYZJCRERERESKwiSFiIiIiIgUhUkKEREREREpCpMUFyxbtgx1\n69ZF6dKl0bx5c+zZs0fukIJCQkICWrZsiYoVK+LBBx9E79698eeffzrsI0kSZs+ejRo1aqBMmTLo\n2LEj/vrrL5kiDh4JCQmIiIjAyy+/nLWNbeFbV65cwfDhw/Hggw+idOnSiIuLQ1JSUlY528N3bDYb\nZs2alfU9UbduXcyaNQtWqzVrH7aH9+zevRt9+vRBzZo1ERERgcTERIdyV373JpMJL7/8Mh544AGU\nK1cOffr0wcWLF315GgEhr7awWCyYOnUqHnvsMZQrVw4xMTEYMmQIzp8/73AMtoXn5PfZuN/YsWMR\nERGBRYsWOWyXsz2YpORj1apVmDhxIl566SX8/PPPiI2NRa9evZw+VOR5SUlJGDx4MLZs2YJ169ZB\nrVaja9euuHXrVtY+77zzDpYsWYK5c+di27ZtKFWqFLp164b09HQZIw9sv/zyCz799FPUrl3bYTvb\nwndu376Ndu3aQZIkrFy5Evv378e8efNQqlSprH3YHr6zYMECLFu2DHPnzkVycjLmzJmDZcuWISEh\nIWsftof33L17F7Vq1cKcOXOg1+udyl353U+aNAnr16/HRx99hE2bNiE9PR29e/eGzWbz5an4vbza\nIiMjA4cOHcL48eOxc+dOLF++HBcvXkTPnj0dEnq2hefk99nItHbtWhw4cABly5Z1KpOzPbhOSj5a\ntWqF2rVrY+HChVnb6tevjy5dumDq1KkyRhZ87ty5g0qVKiExMREdOnSAJEmoUaMGhg4divHjxwMA\nDAYDoqOjMXPmTDz77LMyRxx4UlNT0bx5cyxcuBBz585FrVq18Oabb7ItfGzGjBnYvXs3tmzZkmM5\n28O3evfujeLFi+O9997L2jZ8+HDcunULX3/9NdvDh8qXL4958+ahX79+AFz7LKSmpqJatWpYsmQJ\nnnzySQDAhQsX8NBDD+Hbb79Fq1atZDsff5a9LXJy7NgxNGrUCLt370bt2rXZFl6UW3ucO3cO7dq1\nw5o1a9CzZ08MGzYMzz//PADI3h58k5IHs9mM33//HfHx8Q7b4+P/v717D4qqfh84/uaaKOYKwkIg\nSC6QmoHRVxCStPJSeEnxhlYgCuQlMwdFlDLNBNO0cshUUktL7SJB1BBOUa2WOiUmmUMCaaKouIYD\n3mH5/eHs/jwtKBburvq8ZpzRz/nsOc+eZ9bdZz+XfZRdu3ZZKKo7V21tLXq9HpVKBcDhw4c5ceKE\nIj9OTk6Eh4dLfm6S6dOnM3ToUCIjIxXtkgvz+vLLLwkJCWH8+PFoNBoefvhhVq9eTUPDle+cJB/m\nFRYWxvbt2/njjz+AKx+8tFot/fr1AyQfltSce793714uX76s6OPt7U1gYKDk5yYzjGYZ3tclF+ZV\nV1fHxIkTSU5OJjAw0OS4pfNhf9OvcAvT6XTU19crplAAuLm5cfLkSQtFdeeaPXs23bt3p2fPngCc\nOHECoNH8VFZWmj2+2937779PeXk5q1evNjkmuTCvQ4cO8d577zF58mSmT59OcXExKSkpACQmJko+\nzGz69OnU1tYSGhqKnZ0ddXV1JCcnM3HiREBeH5bUnHt/8uRJ7OzscHV1Nekj7/U3z6VLl0hLS2Pg\nwIF4eXkBkgtzS09Px8XFhQkTJjR63NL5kCJF3BLmzJnDzp07yc/Px87OztLh3HEOHjzIggULyM/P\nx8HBwdLh3PH0ej09evQwTjkNCgqivLycrKwsEhMTLRzdnWfr1q1s3ryZrKws7rvvPoqLi5k9ezY+\nPj48++yzlg5PCKtTV1dHYmIiZ86cYdOmTZYO546k1Wr56KOP0Gq1lg6lSTLd6xpcXV2xs7OjqqpK\n0V5VVYW7u7uForrzpKam8tlnn5Gbm0unTp2M7Wq1GkDyYwa7d+9Gp9MRFhaGq6srrq6u7Nixg6ys\nLFxdXXFxcQEkF+aiVqtNhuYDAgKoqKgwHgfJh7m8/PLLTJ06lejoaLp168aYMWOYMmUKy5cvByQf\nltSce+/u7k59fT06na7JPqLl1NXVMWHCBPbv309OTo7x/QMkF+a0fft2jh8/TmBgoPF9/ciRI8yb\nN4+uXbsCls+HFCnX4OjoSHBwMIWFhYr2wsJCQkNDLRTVnSUlJcVYoAQEBCiO+fr6olarFfm5cOEC\nP/30k+SnhUVFRfHjjz+i1WqNf3r06EF0dDRarRaNRiO5MKOwsDBKS0sVbaWlpXTs2BGQ14a5nTt3\nzmSE187ODr1eD0g+LKk59z44OBgHBwdFn6NHj1JSUiL5aWGXL19m/Pjx7N+/ny+++MJYRBpILsxn\n4sSJ7NixQ/G+7unpyeTJk8nJyQEsnw+Z7nUdU6ZMISkpiZCQEEJDQ1m7di3Hjx+X3VjMIDk5mS1b\ntrBx40ZUKpVxbnGbNm1wdnbGxsaGSZMmsWzZMvz9/dFoNCxdupQ2bdowYsQIC0d/e1GpVMaFjQat\nW7emffv2xm9cJBfmM3nyZPr378/SpUsZPnw4+/btY/Xq1bz00ksA8tows4EDB/Lmm2/i6+vLfffd\nx759+8jMzGTMmDGA5ONmq62tpby8HLgyFbKiooJ9+/bRvn17OnbseN17365dO5555hnmzZuHm5sb\n7du3Z+7cuXTr1o0+ffpY8Jndeq6VC09PT2JjYykqKmLTpk3Y2NgY39fvvvtunJycJBct7HqvjX+u\n1bK3t0etVuPv7w9Y/rUhWxA3Q1ZWFm+99RYnTpygS5cuLFq0iIiICEuHddv754dig5SUFFJTU4Er\n20tmZGSwfv16qqurCQkJYenSpcYPzuLmiYqKMm5BDJILc/v6669ZsGABpaWleHt7k5CQQFJSEjY2\nNoDkw5xqamp47bXXyMvL49SpU6jVaqKjo5k1axatWrUCJB83k1arZfDgwSbtMTExrFy5sln3/uLF\ni6SlpfHpp59y4cIFIiMjeeONN/D29jbnU7nlXSsXs2fPJigoqNHHZWZmGrfGlVy0nOu9Nv6pe/fu\nii2IwbL5kCJFCCGEEEIIYVVkTYoQQgghhBDCqkiRIoQQQgghhLAqUqQIIYQQQgghrIoUKUIIIYQQ\nQgirIkWKEEIIIYQQwqpIkSKEEEIIIYSwKlKkCCGEMKHValGpVGi12hY979mzZwkICOCDDz5QtP/6\n66888cQTeHl5oVKp2LdvX4te11LS09NNfvMpKiqKqKiof3W+vn378vLLL7dEaEIIYdWkSBFCCCty\n6tQpFixYQHh4ON7e3qjVaoKCgkhKSuKHH36wdHj/2bvvvouDg4Px19jhyi8hx8fHc/z4cRYuXMiq\nVavw8fFp8WufO3eO9PT06xZeXbp0YfHixS1+/Zbw4osvkpWVZfylbiGEuF1JkSKEEFaiqKiIXr16\nkZmZyQMPPMC8efNYsmQJI0eOpLi4mCFDhrBt2zZLh/mvXb58mZUrVzJu3DgcHR2N7ZWVlZSVlZGY\nmMj48eMZPXq0yehDSzh//jyLFy9m+/btTfb59ddfqaysZMCAAS1yzZkzZ3L8+PEWORfAoEGDaNu2\nLWvWrGmxcwohhDWyt3QAQgghoLq6mnHjxmFra4tWqyUgIEBxPC0tjdzcXNq0aXPN85w9e/a6fSwl\nPz+fU6dOMWzYMEV7VVUVAHfffbclwlIoKCjAw8ODoKCgFjmfvb099vYt91Zra2vLkCFD2Lx5M3Pm\nzMHWVr5rFELcnuR/NyGEsALr1q3j2LFjpKenmxQoBkOGDCE8PNz4b8N6h99//53ExEQ6depEr169\nAPjrr79ITk6mZ8+eeHp64uPjw+jRo9m/f7/JeY8ePcrYsWO555570Gg0pKamcunSpUZj2LNnDyNH\njsTHxwcPDw8GDhzY7GloX375JR4eHnTp0sXYNmnSJPr06QPAlClTUKlUivUapaWlxMXF4efnh1qt\npnfv3uTk5Jic+8yZM8yZM4f7778fNzc3goKCeP3116mvrwfg8OHDdO7cGYDFixejUqlQqVRMmjRJ\ncZ6CggL69euHjY0NAN27dyc6OhqtVkufPn3w8PCgV69efP/99wDk5eURHh6OWq0mMjKSvXv3Ks7X\n2JqUxjQ0NLBq1SrjuTQaDVOnTkWn05n07du3LxUVFSbXEkKI24mMpAghhBXIzyFNdW8AAAkqSURB\nVM/HycmJwYMH3/Bj4+Pj8fX1JS0tzVhcFBUV8eOPPzJkyBA6duxIZWUl69evJyoqip07d+Lh4QFc\nmQI1dOhQKioqSEpKwsPDg08++aTRwmP79u1ER0fTvXt3Zs6ciYODA1u2bGH48OFkZ2fTu3fva8a5\ne/dugoODFW3jx4/Hz8+PRYsWERcXR69evXB3dwegpKSE/v37o1areeGFF2jTpg15eXnExsayatUq\nRo8ebXwOgwcP5q+//iI+Ph4fHx9++eUXMjIyOHLkCCtWrKBDhw4sW7aMGTNmMGjQION99vPzM8ai\n0+n45ZdfmDZtmiLGQ4cOMXHiRGJjYxk9ejQrVqxg7NixvPnmm8yfP58JEyZga2vLG2+8QWxsLHv2\n7MHOzu5GUsiMGTPYsGEDMTExJCQkcPToUVavXs2ePXv49ttvadWqlbGv4R7u3LmTBx988IauI4QQ\ntwopUoQQwgqUlJSg0WhwcHBQtNfU1ChGNe666y6cnZ0Vffz9/dmwYYOirX///gwdOlTRNmbMGEJD\nQ9mwYQMzZ84EYP369ZSWlrJu3TrjNKy4uDgiIyMVj21oaODFF18kLCyMzz//3DjSEB8fT2RkJK++\n+ioFBQVNPr+6ujr+/PNP+vfvr2jv2bMnDg4OLFq0iP/973/GwgNg9uzZeHp6UlhYiJOTEwAJCQkM\nGzaM+fPnM2rUKGxsbHjnnXc4ePAg33//vXEUKi4uDl9fXxYuXMi0adPw9/dn6NChzJgxg27duimu\nY7Bt2zbs7e3p27evor2srIyvvvrKOIoVGBjI8OHDmTp1Krt27aJTp04AtGvXjunTpxtHXZpr165d\nrFu3jpUrVxITE2Nsf+yxx3jiiSfYvHkzcXFxxvZ77rkHR0dHSkpKmn0NIYS41ch0LyGEsAI1NTUm\nxQfACy+8QOfOnY1/DMXF1SZMmGDSZvhQD1d2tTp9+jRt27ZFo9Eopglt27YNd3d3RUHj5OTEs88+\nqzhfcXExBw8eZMSIEZw+fRqdTodOp6OmpoY+ffrw888/c+7cuSaf399//01DQ0OzF8T//ffffPfd\ndzz11FOcO3fOeD2dTsdjjz3GsWPHKC0tBSA7O5uwsDBcXV0V/QyFwrUWyl+toKCA8PBwkzxoNBrF\nNLuQkBAAHn74YWOBcnX7oUOHmnU9g+zsbJydnXn88ccV8QcEBODu7t7obmQqlarRqWBCCHG7kJEU\nIYSwAs7OztTU1Ji0JycnGwuGq7ftvdrVH5QNLly4wKJFi/j4449NdpdycXEx/v3IkSP4+fmZLMA2\nrN8wKCsrA+D555/n+eefbzSO06dP07p160aPGTQ0NFzzuEF5eTkNDQ1kZGSQkZHRaJ+qqir8/f0p\nKyvjt99+M4n56n7XU1dXxzfffENKSorJMW9vb8W/27VrB4CXl5ei3bDwv7q6+rrXu1pZWRm1tbX4\n+/s3eryx+BsaGoyjWUIIcTuSIkUIIaxAYGAgxcXFXL58WTHlq2vXrnTt2hWgyXUOV4+aGMyaNYuN\nGzeSmJhIaGgo7dq1w9bWltTUVPR6/Q3HZ3jMK6+8YrKuxKBDhw5NPt7FxQUbG5tmf4A3XG/y5Mkm\nU8QMDPdFr9cTGRnJjBkzGu3XWBH3T7t27eLMmTONbj3c1H1vqr25hZiBXq/HxcWFtWvXNnq8sdGn\nM2fO4OrqekPXEUKIW4kUKUIIYQUGDhzI7t27ycnJYcSIEf/5fJ9//jljxowxGYWorq5WjKR07NiR\n3377Db1erxhNMYycGBgWmDs7O9/QegsDOzs7OnfuzOHDh5vV31BY2NvbX/d6fn5+1NbWXrfftUYe\nCgoKjFPqzM3Pz4/CwkIeeuihRqf8/dOxY8e4dOlSk7vACSHE7UDWpAghhBWIj4/Hw8ODuXPn8scf\nf/zn89nZ2Zl8o//pp59SWVmpaOvXrx8nT55UbOt7/vx5PvjgA0W/4OBg7r33XjIzMxudlnbq1Knr\nxhQaGtrsbXPd3Nzo3bs377//PseOHbvm9YYNG8aePXsaXbhfU1PDxYsXgf8fcWpsNKegoKDJEZub\nbdiwYej1el5//XWTY/X19SbxGu5haGioWeITQghLkJEUIYSwAiqVig8//JBRo0bRu3dvhg8fTkhI\nCI6OjlRUVJCXl8fZs2dN1kc0xbArVNu2benatSvFxcVs3brVZOpTbGwsa9asYdKkSezduxdPT08+\n/vhjxS/Cw5UfEVyxYgUjRowgLCyMcePG4eXlRWVlJTt27KChoYG8vLxrxvTkk0/y4YcfcuDAAcVv\npTRl2bJlDBgwgIiICGJjY/Hz86Oqqoqff/6ZkpISioqKAJg2bRr5+fmMHTuWmJgYgoODOX/+PAcO\nHCAnJ4cdO3bg6+uLk5MTXbp0YevWrWg0GlxcXPD19cXd3Z0DBw6Qnp7erHvb0iIiIkhISODtt99m\n//79PProo9x1112Ul5eTm5tLamoq48aNM/YvLCzEy8uLHj16WCReIYQwBylShBDCSoSEhLBz504y\nMzP5+uuvycnJob6+Hg8PD0JDQ0lPT+eRRx5p1rkyMjJwcHAgOzubjRs3EhwczGeffcZLL72k6Ne6\ndWtycnKYNWsWa9aswcnJiZEjR9KvXz+io6MVfSMiIti2bRtLlizhvffeo6amBnd3dx588EGT3cAa\nM2DAANzc3MjOzm5WkeLv709hYSGLFy9m8+bN6HQ6OnTowP3338/cuXON/ZycnMjLy2P58uVkZ2ez\nZcsWnJ2djbuhqdVqY98VK1aQkpJCWloaFy9eJCYmhpCQEJydnRU7eJnbkiVLeOCBB1i3bh0LFy7E\n3t4eb29vnnrqKcV20Hq9ntzcXJ5++mn5tXkhxG3Nprq6+sZW+AkhhBD/0rJly1i7di1FRUUmvwlj\nKaNGjcLR0ZGNGzdaOpTrys3NJSkpiaKiIuMPcgohxO1IvoYRQghhNs899xyXLl1i06ZNlg7FKCIi\ngqlTp1o6jGZZvnw5CQkJUqAIIW57MpIihBBCCCGEsCoykiKEEEIIIYSwKlKkCCGEEEIIIayKFClC\nCCGEEEIIqyJFihBCCCGEEMKqSJEihBBCCCGEsCpSpAghhBBCCCGsihQpQgghhBBCCKsiRYoQQggh\nhBDCqvwfyNUJRvol/SkAAAAASUVORK5CYII=\n", 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gVLDQUmXfGSIiIlJG0o2kEKlBKi0vO+ChMfMXERERhYNBSoxZbM6USWObbMTS8rIDHhoz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\n/e9/R1xcnNw2Y2Njm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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -116,16 +109,17 @@ " return lambda x: sum(C[i] * x ** i for i in range(n + 1)) \n", "\n", "def show(X, Y, xlabel='Grade (feet/mile)', ylabel='Speed (mph)', fit=True): \n", - " F = poly(X, Y, 2)\n", - " plt.rcParams[\"figure.figsize\"] = (12, 8)\n", + " plt.rcParams[\"figure.figsize\"] = (12, 10)\n", " plt.style.use('fivethirtyeight')\n", - " plt.plot(X, Y, '.')\n", + " plt.scatter(X, Y)\n", " X1 = list(range(int(min(X)), int(max(X)) + 5))\n", - " if fit: plt.plot(X1, [F(x) for x in X1], '-')\n", " plt.ylabel(ylabel); plt.xlabel(xlabel)\n", " plt.minorticks_on()\n", " plt.grid(True, which='major')\n", " plt.grid(True, which='minor', alpha=0.4)\n", + " if fit: \n", + " F = poly(X, Y, 2)\n", + " plt.plot(X1, [F(x) for x in X1], 'k-')\n", " \n", "show(fpm, mph) " ] @@ -134,9 +128,11 @@ "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 40 ft/mile and up, speed falls off quickly, and by 140 ft/mile, I'm down under 8 mph. Note that 140 ft/mile is only 2.7% grade, but if you figure a typical route is 1/3 up, 1/3 down, and 1/3 flatish, then that's 8% grade on the up part (which is at least 7 miles).\n", + "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 40 or 50 ft/mile, speed falls off quickly, and by 140 ft/mile, I'm down near 8 mph. Note that 140 ft/mile is only 2.7% grade, but if you figure a typical route is 1/3 up, 1/3 down, and 1/3 flatish, then that's 8% grade on the up part.\n", "\n", - "I can use the `poly` function to estimate the duration of a route:" + "# Estimating Duration\n", + "\n", + "For a route with a given distance and elevation, how long will it take to ride it?" ] }, { @@ -149,7 +145,7 @@ "source": [ "def duration(dist, climb, F=poly(fpm, mph, 2)):\n", " \"Given a distance in miles and total climb in feet, return estimated time in minutes.\"\n", - " return dist / F(climb / dist) * 60" + " return 60 * dist / F(climb / dist)" ] }, { @@ -169,7 +165,7 @@ { "data": { "text/plain": [ - "(69.426193865785734, 61.816569346397067)" + "(68.914878773787706, 62.368854685107713)" ] }, "execution_count": 5, @@ -189,7 +185,7 @@ "\n", "# Eddington Number\n", "\n", - "> *Your [Eddington Number](https://www.triathlete.com/2011/04/training/measuring-bike-miles-eddington-number_301789) is the largest integer **m** for which you have bicycled **m** or more miles on **m** different days.*\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. I'm pretty sure I've done at least 50 rides of 50 miles, so:" ] @@ -204,27 +200,7 @@ { "data": { "text/plain": [ - "{50: -17,\n", - " 51: -5,\n", - " 52: 0,\n", - " 53: 3,\n", - " 54: 7,\n", - " 55: 10,\n", - " 56: 12,\n", - " 57: 16,\n", - " 58: 20,\n", - " 59: 26,\n", - " 60: 28,\n", - " 61: 34,\n", - " 62: 37,\n", - " 63: 40,\n", - " 64: 43,\n", - " 65: 45,\n", - " 66: 47,\n", - " 67: 51,\n", - " 68: 52,\n", - " 69: 56,\n", - " 70: 57}" + "52" ] }, "execution_count": 6, @@ -233,15 +209,17 @@ } ], "source": [ - "{m: m - sum(r.miles > m for r in rides)\n", - " for m in range(50, 71)}" + "def eddington(distances):\n", + " return max(e for e, d in enumerate(sorted(distances, reverse=True), 1) if d >= e)\n", + "\n", + "eddington(mls)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The entry `{52: 0}` means **my Eddington Number is 52**: I've done 52 rides of 52 miles or more (at least of the ones that were recorded by Strava). I'd need only 3 rides of 53 miles to add one to my number, but I'd need a whopping 57 rides of 70 miles or more to get my number up to 70. Let's look at my distribution of ride distances, for my 40+ mile rides:" + "So **my Eddington Number is 52**: I've done 52 rides of 52 miles or more. Let's see a plot of how far I have to go to improve this number:" ] }, { @@ -253,9 +231,9 @@ "outputs": [ { "data": { - "image/png": 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pU6fqiiuuaN1i2W63a+DAgXriiSd09dVX67777tOzzz5rWbIAAADHE8MwVNkY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L/v6QJk2CpNfDMmoUIPJKEXI/DilEREREjY0sQ/3ttxDLH7R47ZrjcJUKltGj\n7ZdzTZwINGvmoUKpsWpwQ4rJZFJEjnIlJSVuy+XufEqurVxj6YUv5APYDyXlA9zXD6Ufq9LzAfxu\nKCkfwH44ojl5EgHp6Wiang7xl1+cxpf16YPi+HgUTZ4MW5s29o1WK+DiZ8xeKCcfoKx+OFsO0eCG\nlLqu/8jNzXX7GhIl51NybY2tF0rPx34oK5+7+6HkY1V6Pn43lJWP/ahKyM2FmJIC0WiE5vvvneaz\ndewIs14PSaeD7dZboQJwM/cnZS+Ulc8X+nGjBjekEBERETV6RUUQ16+3DyY7dkCwOn6gtC0kBEWT\nJkG4915YBw3iAnjyOg4pRERERA2BxQLNF1/Y15lkZkIoLnYYLvv5QZowwb4Aftw4mEpKeEdSUgwO\nKURERES+Spahzs62DyYpKVDl5TkOFwRYhw+3X84VGwvcOJTUwxoIopvFIcVH5BRKWJxdiLMFZegQ\nZOXDIYmIiBox4cwZaI1GtPvsM4inTjmNt952m30wSUiAHBbmgQqJ6oZDig/IKZQwZfMVnC60X0+6\n53IJ9uWZkR7dkoMKERFRIyFcvQoxLc2+zmTvXqfxtvbtIel0MOt0sPXu7YEKidyHQ4oPWJxdWDGg\nlDtdaMXi7EK8F9nCS1URERFRvSspgbhpE8TERGi2boVgsTgMl4OCIMXFwazTwTp8OKBSeahQIvfi\nkOIDLhRXf0eOizVsJyIiIh9mtUL99dfQGo0QMzIgFBY6DJdFEZaoKJgNBliio4EmTTxUKFH94ZDi\nA9o1VVe7vW0N24mIiMjHyDJUP/xgH0ySk6G6cMHpSyxDhqBg0iRo7rkHcgteWUENC4cUH7BgQCD2\n5ZkrXfLVOVCNBQNu5tFKREREpBTCuXMQk5OhNRqhPnLEaby1e3dIej3M06ZB7tQJ100m3jaYGiQO\nKT4gPFBEenRLLM4uxLmCMoQF+fHuXkRERL4qPx9iRga0iYnQ7NrlNNzWpg2kadNg1uth69ePD1qk\nRoFDio8IDxTxXmQLmPgbEyIiIt9TVgZNVhZarV0L/23bIJjNDsPlgABIkyZBMhhgGTkS0PBHNmpc\n+DeeiIiIqD7YbFDv2QPRaIQ2LQ2CyeQwXFarYRk7FpJOB+nuu4GAAA8VSqQ8HFKIiIiI3Eh19CjE\npCRojUaozp51Gm8ZOBCSXg9p6lTIrVt7oEIi5WtwQ4rJyW8pPJWjXElJidtyuTufkmsr11h64Qv5\nAPZDSfmxaU4MAAAgAElEQVQA9/VD6ceq9HwAvxtKygd4px+qS5cQkJGBgLQ0aH/80Wm8FB6O4vh4\nFE2ZAkvnzr/tqGXtSv65AOB3Q0n5AGX1w9nyhQY3pNR1vUZubq7b13woOZ+Sa2tsvVB6PvZDWfnc\n3Q8lH6vS8/G7oax8Hu1HYSHEdesgJiVB8+WXEGw2h3lsLVqgaNIkCPfdB+sddwCCAHdc0KXUfwv4\n3VBWPl/ox40a3JBCREREVG8kCZrt2yEajRA3bIDg5LfJcpMmkCZOhKTTwTJ2LEzFxbwBDpELOKQQ\nEREROSLLUO/fDzExEWJqKlRXrjgOFwRYIiPt60wmTQKCgjxUKFHDwSGFiIiIqBqqkycR/MknaPb5\n51CfPu003tq3L8x6PaSEBMjt2nmgQqKGi0MKERER0f8IeXkQU1Pt60z27XMabwsLsw8mOh1sPXt6\noEKixoFDChERETVuxcUQN2yAaDRCs20bBKvVYbgcHAxzfDwknQ7WIUMAlcpDhRI1HhxSiIiIqPGx\nWqH56iv7OpPMTAjXrzsMl7VaWKKjYdbrYRk/HvDz81ChRI0ThxQiIiJqHGQZqoMHoTUaIaakQHXp\nktOXlA4eDNsf/gApNhYICfFAkUQEcEghIiKiBk7IyYE2KQliUhLUx445jbf26AHJYIA5IQH5wcG8\nZTCRF3htSOnTpw/Onj1bZfv48eNhNBohyzKWLl2Kjz76CPn5+Rg4cCCWL1+OnlyURkRERE4I165B\nTE+3rzPZvdtpvK1dO0jTpsGs08HWpw8gCPYdbnxCNxG5zmtDyo4dO2C9YWHaxYsXMWrUKEyZMgUA\n8Oabb2LlypVYuXIlIiIisGzZMsTHx+O7775DYGCgt8puEHIKJSzOLsTZgjJ0CLJiwYBAhAeK3i6L\niIiobkpLEbJ9O5q++CI0WVkQJMlhuBwYCGnyZJgNBliHDwfUag8VSkTOeG1IadWqVaU/f/LJJwgM\nDER8fDxkWcaqVaswd+5cxMXFAQBWrVqFiIgIJCcn4/777/dGyQ1CTqGEKZuv4HShfUDcc7kE+/LM\nSI9uyUGFiIh8j80G9a5d9nUmn3+O4IICh+GyRgPLuHGQDAZIMTGAv7+HCiWi2lDEmhRZlvHJJ5/A\nYDDA398fZ86cwaVLlzBmzJiKGH9/fwwdOhR79+7lkFIHi7MLKwaUcqcLrVicXYj3Ilt4qSoiIqLa\nUf34I8SkJGiTkqA6f95pvOWuu+xPgI+Ph9yypQcqJKK6EPLz82VvF7F9+3ZMnToVO3fuRJ8+fbB3\n715ER0fj8OHD6NChQ0XcnDlzcOHCBaSmptaY6/jx454o2Wc9csgP+wuqns4eGGzFf/qUeaEiIiIi\n14iXLqFFVhZabtyIpi789760Y0dcmTABV2NiUBYW5oEKichVERERDvcr4kzKRx99hAEDBqBPnz51\nzuXsgJ05fvx4nXPcyGQyufWuIHXN1+XXq9hfUFJ1e8tmiIjoWJfS3H6sDb0XvpaP/VBWPnf2Q+nH\nqvR8/G7Ucz6TCeK6ddAajVDv3AlBdvy7Val5c9j0ekgGA6y3345mgoBm9VlfA8rH70bDzqf0fvye\n14eUvLw8bNiwAcuXL6/YFhoaWrHvxjMpeXl5aNOmjcdrbEgWDAjEvjxzpUu+OgeqsWAAb0ZAREQK\nYTZDs3UrRKMR4saNEMocn+mXmzaFNGkSJL0eP91yCyJ4J1Ain+f1IWXt2rXw8/NDQkJCxbbw8HCE\nhoZix44dGDBgAACgtLQUu3fvxqJFi7xVaoMQHigiPbolFmcX4lxBGcKC/Hh3LyIi8j5ZhnrvXohJ\nSRBTU6G6ds1xuEoFy+jR9nUmEycCzf53voSXfRM1CF4dUmRZxscff4ypU6eiWbPfTsYKgoDZs2fj\ntddeQ0REBLp164bly5cjICAA06ZN82LFDUN4oIj3IlvU+2k6IiIiZzQnTsBv40b7AvicHKfxlttv\ntw8mU6dC/t+VF0TU8Hh1SNm5cydOnjyJd999t8q+J554AiUlJZg3b17FwxxTU1P5jBQiIiIfJ+Tm\nQkxJgWg0Ivj7753G2zp2hFmvh6TXw9a9uwcqJCJv8+qQMnLkSOTn51e7TxAEzJ8/H/Pnz/dwVURE\nROR2169DXL/e/gT4HTsg2GwOw23Nm0OaOhWSXg/rXXf99gR4ImoUvL4mhYiIiBooiwWaHTvs60wy\nMyEUFzsMl/38IE2YAEmvh2XcOECr9VChRKQ0HFKIiIjIfWQZ6u+/h5iYaF8An5fnOFwQYB0xwn45\n1+TJANdKEhE4pBAREZEbCGfOQGs0QjQaoT5xwmm89bbbYDYYcHX8eDTr0cMDFRKRL+GQQkRERDdF\nuHIFYlqafZ3Jt986jbfdcgukadNg1ulg690bAGA1meq7TCLyQRxSqM5yCiUszi7E2YIydAiy8rkr\nREQNmFBaCnHbNvtgsnUrBIvFYbwcFAQpLg5mvR7WYcMAlcpDlRKRL+OQQnWSUyhhyuYrFU+w33O5\nBPvyzEiPbslBhYioobBaof76a2gTExGYkQHV9esOw2VRhGX8eJj1eliio4EmTTxUKBE1FBxSqE4W\nZxdWDCjlThdasTi7EO9FtvBSVUREVGeyDNXhw9AmJUFMTobqwgWnL7EMGWJ/0OKUKZCbN/dAkUTU\nUDW4IcXkhmtb3ZGjXElJidtyuTufO3KdLSirdvu5gjL2ooHlA9gPJeUD3NcPpR+r0vMBDeu7oT5/\nHgGff46maWnQ/vyz03ipa1cUxcejKC4O1o4df9vh4mfCfignH3vRsPMByupHsJM7+TW4IcXZATuT\nm5tb5xy/p+R8dc3VIciKPZer/iUNC/JjLxpYPvZDWfnc3Q8lH6vS8zWI70Z+PsTPP4fWaIRm1y6n\n+WyhoZASEmDW62Hr1w+CIKBZfdZXCw2iH17Mx1403Hy+0I8bNbghhTxrwYBA7MszV7rkq3OgGgsG\nBHqxKiIicqqsDJqsLPtgsnkzBLPZYbgcEABp8mTkT5wIvwkTAA1/hCCi+sN/YahOwgNFpEe3xOLs\nQpwrKENYkB/v7kVEpFQ2G9S7d0NMSoI2LQ2Ck0s/ZLUalrFj7etMJkwAAgJQajLBjwMKEdUz/itD\ndRYeKOK9yBYwmUz1etqPiIhujuroUYhGI7RGI1TnzjmNt9xxBySdDtLUqZBbt/ZAhURElXFIIcUp\nf+7Kqct+6PLrVZ6ZISK6CcKFCxCTk9H2s8+g/fFHp/HWzp3tZ0z0eti6dvVAhURENeOQQopS+bkr\nauwv4HNXiIhcVlgIcd06+4MWv/wSgiw7DLe1bAlp6lRIej2sd9wBCIKHCiUicoxDCikKn7tCRFRL\nkgTNtm0Qk5IgbtgAwcltQeUmTSBNnAhJr4dlzBhA5C+AiEh5OKSQolwotla7/WIN24mIGiVZhnrf\nPohGI8TUVKiuXHEcrlLBEhlpX2cyaRIQFOShQomIbg6HFFKUdk3V1W5vW8N2IqLGRHXihH0wSUqC\n+vRpp/HWvn1REBsL9YwZkNu180CFRETuwSGFFIXPXSEiqkzIy4OYmmpfZ7J/v9N4W4cOMOv1kHQ6\n2Hr0QCHvvEhEPohDCinKjc9dOXXlOrq0bMa7exFR41NUBHHDBohJSdBs2wbB6viSVzk4GOb4ePsC\n+MGDAZXKQ4USEdUPDimkOOXPXTl+/AoiIjp6uxwiIs+wWKD56iu0XL0aTTdvhlBU5DBc1mphiYmB\nWaeDZfx4wM/PQ4USEdU/DilERETeIstQHTwIbWKifQH8pUtOX2IZNgxmgwFSbCwQEuKBIomIPI9D\nChERkYcJZ85Am5wM0WiE+uefncZbe/a0DyYJCZA7dPBAhURE3tXghhSTyaSIHOVKnNyv3pv5lFxb\nucbSC1/IB7AfSsoHuK8fSj9WpecDXOuF6to1NF2/Hk3T09Hku++cxltCQ1EcF4ei+HhIPXv+9qDF\nWvZd6Z+fkr8bgPKPV8k/FwDshZLyAcrqh7MbejS4IaWudzDJzc11+11QlJxPybU1tl4oPR/7oax8\n7u6Hko9V6fkc9qK0FJrNm6FNTIRmyxYIkuQwlxwYiKKYGODee2EdPhxQq9HUDTUq+fNzdz7+W6Wc\nXOyFsvL5Qj9u1OCGFCIiIq+y2aDetQtaoxHi559DKChwGC5rNLCMGwfJYIAUEwOT2cxbBhNRo8ch\nhYiIyA1UP/5oH0ySk6E6f95pvGXQIEh6PaQpUyC3bPnbDrO5HqskIvINHFKIiIhuknD+PEI/+QTN\ntm2D+scfncZbu3WzDyY6HWydO3ugQiIi38QhhYiIqDZMJogZGdAajVB//TWCZNlhuK11a0gJCfYH\nLd5++28L4ImIqEYcUoiIiJwxm6HZuhWi0Qhx40YIZWUOw+WmTSFNmgRJr4dl1ChAw//cEhHVBv/V\nJCIiqo4sQ713r30wSUuD6to1x+EqFSxjxtgv57r7bqBZMw8VSkTU8NRqSDGbzfjss8+wc+dO5OXl\n4aWXXkK/fv2Qn5+PjRs3YuTIkbjlllvqq1YiIqJ6p/r5Z4hGI7RJSVDl5DiNL+rZE6qZMyFNnQo5\nNNQDFRIRNXwuDylXr17F5MmTceTIEbRp0wZ5eXnIz88HAAQFBeGVV17B0aNH8dJLL9VbsURERPVB\nuHQJYkoKRKMRmgMHnMbbwsNh1ush6fU4BiAiIqL+iyQiakRcHlJeeOEFnD17Fps2bUK3bt3QrVu3\nin0qlQqxsbHYsmULhxQiIvIN169DXL/ePpjs2AHBZnMYbmveHNLUqfYF8Hfd9dsC+OPHPVAsEVHj\n4vKQsmnTJjz88MMYNGgQrl69WmV/165dsXr1arcWR0RE5FYWC5rs2AH/9eshrl8PobjYYbjs5wfp\n7rvtC+DHjgW0Wg8VSkTUuLk8pBQWFiIsLKzG/WVlZbBarW4pioiIyG1kGersbPsC+NRUBOflOQ4X\nBFhHjLBfzjV5MsCnvxMReZzLQ0qXLl3w/fffY9asWdXu3759O3r27Om2woiIiOpCdfq0fTAxGqE+\nedJpvLV3b5gNBvsCeN4EhojIq1weUmbNmoXnn38eQ4cOxZgxYwAAgiCguLgYy5Ytw/bt2/H222/X\nW6GuMplMishRrqSkxG253J1PybWVayy98IV8APuhpHyA+/qh9GOtTT7V1atompmJgLQ0+GVnO423\ntGuHoilTUDxlCqQePX7bUcvPlt8N5eQD2A8l5CrHXignH6CsfgQ7OUvt8pDy8MMP4+jRo3j44YcR\nGBgIAHjggQeQn58Pq9WKBx98EDNmzKhTse7g7ICdyc3NrXOO31NyPiXX1th6ofR87Iey8rm7H0o+\nVqf5ioshbtoEMTERmm3bIFgsDnPZgoJgmTIFZr0e1qFDAZUKTetQG78bysrHfignF3uhrHy+0I8b\n1eo5Ka+//jqmT5+OtLQ0nDp1CjabDZ07d0Z8fDyGDh1aXzUSERFVZrVCvXMntEYjxHXrIBQWOgyX\nRRGW8eNh1utxZfBgBPN5JkREilbrJ84PGjQIgwYNqo9aiIiIaibLUB0+bB9MkpOhunjR6UssQ4bY\nnwA/ZQrk5s3tG914uQMREdUPl4eUY8eO4cCBAzAYDNXuNxqN6N+/P7p37+624oiIiNTnz8Pv//7P\nvgD+p5+cxltvvRWSXg/ztGmQw8M9UCEREbmby0PKSy+9BIvFUuOQkpKSgoyMDD4rhYiI6i4/H+Ln\nn0ObmIjgb75xGm4LDYU0bRrMej1sffv+9qBFIiLySS4PKfv27cPjjz9e4/4RI0ZgxYoVbimKiIga\nobIyaDZvhjYpCZrNmyGYzQ7D5WbNIE2aBMlggGXkSECt9lChRERU31weUkwmE5o2rfn+J02aNMG1\na9fcUhQRETUSNhvUu3fb15mkp0Nwsl5EVqthGTcOkk4HacIEICDAQ4USEZEnuTykhIeH45tvvsGf\n/vSnavd/8803Dp9IT0REVE71008Qk5KgNRqhOnfOabzljjvsC+Dj4yG3bu2BComIyJtcHlJ0Oh2W\nLFmC22+/HY888gg0GvtLLRYLVq1ahfT0dMybN6/eCiUiIt8mXLgAMTkZWqMR6sOHncZbu3SBpNfj\nakwMAvr390CFRESkFC4PKXPnzsXu3bvx/PPP47XXXkO3bt0AACdOnMC1a9cQGRmJp556qt4KJSIi\nH1RQAHHdOohJSdB8+SUEWXYYbmvZEtLUqZAMBlgHDgQEARbeMpiIqNFxeUgRRREpKSlYu3YtMjIy\ncObMGQDAnXfeibi4OEyfPh0qlaq+6iQiIl8hSdBs2gTRaIS4YQOE0lKH4bK/P6SJEyHpdLCMGQOI\noocKJSIiparVwxwFQcCMGTMwY8aM+qqHiIh8kSxD/d13EJOS0Cw5GWonN1KRVSpYIiPt60wmTQIC\nAz1UKBER+YJaP3GeiIionOrECfsZk6QkqE+fdhpv7dcPZr0eUkIC5LZtPVAhERH5oloNKdu2bcMn\nn3yCM2fOID8/H/Lvri0WBAEHDhxwa4G1ZXLDtcvuyFGupKTEbbncnU/JtZVrLL3whXwA+6GkfID7\n+lHb2lSXL6PpunUISE+Hnwv/5lvCwlAUF4eiKVNg6d79tx0u1t+YegEo/3iVng9gP5SQqxx7oZx8\ngLL6ERwc7HC/y0PKW2+9hRdffBFt2rTBgAED0KtXrzoVVl+cHbAzubm5dc7xe0rOp+TaGlsvlJ6P\n/VBWPnf3w2muoiKIGzZANBqh2b4dgtXqMNwWEgIpPh6STgfr4MGASoW6PNGkMfUCUPbxKj0f+6Gc\nXOyFsvL5Qj9u5PKQ8p///AcjR45EUlISRC5qJCJq+CwWaL780n45V2YmhKIih+Gynx8s0dHInzQJ\n2rg4wM/PQ4USEVFD4/KQkp+fj7i4OA4oREQNmSxDdfAgtImJEFNSoMrNdfoSy/Dh9nUmsbFASAhK\nTCZoOaAQEVEduDykDBw4EMePH6/PWoiIyEuEM2egTUqyL4D/+Wen8daePWE2GOwL4Dt08ECFRETU\nmLg8pCxfvhw6nQ79+/eHXq+vz5qIiMgDhKtXIaano83atWiyb5/TeFu7dpB0Oph1Oth69wYEwQNV\nEhFRY+TykDJz5kyYzWY88sgjePLJJ9GuXTuo1epKMYIgYM+ePW4vkoiI3KSkBJrNm6E1GqHZsgWC\nJDkMlwMDIcXGwqzXwzp8OPC7f/eJiIjqg8tDSqtWrdC6dWt069atPushIiJ3s9mg/vpraI1GiBkZ\nEAoKHIbLGg0sUVEwGwywREcD/v4eKpSIiMjO5SFl/fr19VkHERG5meqHH+yDSUoKVOfPO423DBpk\nfwL8lCmQW7b0QIVERETV4xPniYgaEOH8eYjJydAmJkJ95IjTeGu3biiMi4Pqvvsgd+pU/wUSERG5\noNZDiiRJ+Pnnn1FQUACbzVZl/7Bhw1zOdfHiRbz44ovYsmULrl+/jk6dOuFf//oXhg8fDgCQZRlL\nly7FRx99hPz8fAwcOBDLly9Hz549a1s2EVHDZTJBzMiA1miE+uuvIciyw3Bb69aQEhIgGQyw9u+P\ngoKCen0gFxERUW25PKTIsoyXX34Z7733HoocPNDr6tWrLuXLz89HdHQ0Bg8eDKPRiJYtWyInJwet\nW7euiHnzzTexcuVKrFy5EhEREVi2bBni4+Px3XffITAw0NXSiYgaHEGSoFm/3r4AftMmCGVlDuPl\npk0hTZoESa+HZdQoQMMT6UREpFwu/1fqjTfewOuvv45Zs2Zh6NChePjhh/HSSy8hODgY7777LjQa\nDRYtWuTyG7/11lto27Yt3nnnnYptnW641ECWZaxatQpz585FXFwcAGDVqlWIiIhAcnIy7r//fpff\ni4ioQbDZoN67F6LRiH6pqdCYTA7DZZUKljFj7OtM7r4baNbMQ4USERHVjcrVwNWrVyM2NhZvvPEG\nxo0bBwDo168fZs2ahe3bt8NqteLrr792+Y3Xr1+PgQMH4v7770e3bt0wfPhwvPvuu5D/d5lCTk4O\nLl26hDFjxlS8xt/fH0OHDsXevXtdfh8iIl+n+vln+C1ejMD+/dFswgT4/fe/DgcUy4ABKFm6FIVH\nj6I4ORmSXs8BhYiIfIrLZ1LOnTuHOXPmAABUKvtsU/a/ywv8/PxgMBjwzjvv4O9//7tL+c6cOYMP\nPvgAjz76KObOnYvDhw/j2WefBQA89NBDuHTpEgBUuvyr/M8XLlxwtWwiIp8kXLoEMSUFotEIzYED\nTuNt4eEw6/WQ9HrYIiI8UCEREVH9cXlICQkJQWlpKQAgKCgIWq0W52+4paWfn5/L61EAwGaz4fbb\nb8cLL7wAwH5W5tSpU3j//ffx0EMPuZzn944fP37Tr3Vnjhvl5uYqNp+SawMaVy98IR/7Ub/5VMXF\nCPniC7TcuBGB334LoZqbk9xICg7GtagoXImJQVHfvr89Af4m+uTrn5238/G7oax87IcycgHshdLy\nKakfEU5+oebykNKzZ08cPnwYgP1MyoABA/DBBx9g/PjxsNls+PDDD52+2Y1CQ0Nx6623VtrWvXt3\nnDt3rmI/AOTl5aFDhw4VMXl5eWjTpk2NeWtTQ3WOHz9e5xw3MplMbr1rjjvzKbk2oHH1whfysR/1\nlE+SoNmxA6LRCHHDBgjFxQ7zyE2aQJowATnDh6PNfffBT6tF+/qqjflcwu+GsvKxH8rIBbAXSsun\n9H78nstDik6nwwcffIDS0lI0adIECxcuRHx8PPr06QMAEEURa9eudfmNBw8ejBMnTlTaduLEiYqB\nJDw8HKGhodixYwcGDBgAACgtLcXu3btrtUCfiEhxZBnq7GyIiYkQU1OhunzZcbggwDpypP1yrsmT\ngaAgmI4fRxut1kMFExEReZbLQ8qMGTMwY8aMij8PGTIEe/bswcaNG6FWqzF27Fh07drV5Td+9NFH\nMX78eCxfvhxTp07FoUOH8O677+L5558HAAiCgNmzZ+O1115DREQEunXrhuXLlyMgIADTpk2rxSES\nESmD6vRp+xkToxHqkyedxlt794bZYICUkAC5fV3PlxAREfkOl4eUs2fPolWrVvD396/Y1qlTJ8ye\nPRsAUFJSgrNnz1a6NMuRAQMGYM2aNVi0aBH++c9/IiwsDM899xwefPDBipgnnngCJSUlmDdvXsXD\nHFNTU/mMFCLyGcLlyxDT0hC6di38vv/eabwtLAxmnQ6STgdbr14eqJCIiEh5XB5S+vXrh3feeQc6\nna7a/Rs3bsSDDz5Yq8Xz0dHRiI6OrnG/IAiYP38+5s+f73JOIiKvKy6GuHGj/c5c27ZBsFgchstB\nQZCmTIFZr4d16FBA5fLd4YmIiBqkWj1x3hGLxQKh/M4yRESNjdUK9c6d0CYmQly3DsL16w7DZVGE\nJToaZr0elvHjgSZNPFQoERGR8rk8pACocQgxmUzYunVrlWeaEBE1aLIM1aFD0CYlQUxOhuriRacv\nsQwZArPBAEtcHOTmzT1QJBERke9xOKQsXboUy5YtA2AfUB566KEan2EiyzIeffRR91dIRKQwwi+/\nQJucbF8Af/So03jrrbeiMDYWqnvvhRwe7oEKiYiIfJvDIWXgwIH405/+BAB4//33MXr06Cp38BIE\nAQEBAejfvz9iY2Prr1IiIm/Kz4eYng5tYiI0u3c7DbeFhkKaNg1mvR62vn1RUFBQr/eTJyIiakgc\nDilRUVGIiooCABQVFeGBBx7AHXfc4ZHCiIi8rqwMms2boTUaocnKgmA2OwyXmzWDNHkyzAYDrCNG\nAGq1hwolIiJqWFxek/Lvf/+72u2yLKOkpARNmzZ1W1FERF5js0H9zTdosWYNAjZsgGAyOQyX1WpY\nxo2DpNdDmjAB4L+FREREdebykJKZmYns7GwsXLiwYtvbb7+NJUuWoLS0FDExMXj//fc5rBCRT1L9\n9BNEoxHapCSozp1zGm+5805IOh2kqVMht2rlgQqJiIgaD5eHlDfeeAPdu3ev+POBAwfwwgsvYNiw\nYYiIiMAnn3yCN998k880ISKfIfz6K8SUFGiNRqgPH3Yab+3SxX7GRK+HrUsXD1RIRETUOLk8pJw8\neRLTpk2r+HNSUhJatGiB5ORk+Pn5QaPRIDU11etDisnJpRmeylGupKTEbbncnU/JtZVrLL3whXxA\nw+iHUFiIpps2ISAtDX7ffAPByTOgrC1bonjyZBTFx8Pcrx9Qfiv2Wn4WSu6H0v/uKT0f0DC+Gw0l\nH8B+KCFXOfZCOfkAZfXD2c1kXB5SSktLK13KtX37dowdOxZ+fn4AgD59+mD16tU3Wab71PXuObm5\nuW6/A4+S8ym5tsbWC6Xn8+l+mM3QbNsGMSkJ4oYNEEpLHeaR/f1RHBUF3HsvLKNHA6IIfwD+9VXf\nTXB3P3y2twrI59PfjQaYj/1QTi72Qln5fKEfN3J5SLnlllvw/fffY+bMmTh58iSOHj2KuXPnVuy/\nevUqmvCJyUSkFLIM9XffQTQaIaamQnX1quNwlQqWUaPs60wmTYLJZuMtg4mIiLzE5SHFYDBgyZIl\nuHDhAo4ePYrmzZsjJiamYn92dja6detWL0USEblKdeKEfTAxGqE+c8ZpvLVfP5j1ekgJCZDbtv1t\nhxtPiRMREVHtuDyk/PWvf0VZWRmysrIQFhaG5557ruK3jNeuXcM333zDJ84TkVcIublotnYtAjIy\noMnOdhpv69ABZoMBkk4H2623eqBCIiIiqg2XhxS1Wo0FCxZgwYIFVfY1b94cx48fd2thREQOFRVB\nXL8eYlISNNu3Q7BaHYbbQkIgxcdD0uthHTQIUKk8VCgRERHVlstDChGR11ks0Hz5JcTERIjr10Mo\nKnIYLvv5wRITA7NOB0tUFPC/G30QERGRstU4pLz66qsQBAFPP/00VCoVXn31VafJBEHAM88849YC\niaiRk2WoDxywrzNJSYEqN9dxuCDAOmyYfZ1JbCwQEuKhQomIiMhdahxSli5dCkEQMHfuXGi1Wixd\nusqIak0AACAASURBVNRpMg4pROQuwpkz0CYl2RfAu3A5qfnWW2H9wx/sC+DDwjxQIREREdWXGoeU\na9euOfwzEZG7CVevQkxLs68z2bPHabytfXtI06bBrNfjWocOvGUwERFRA8E1KUTkXSUl0GzeDG1i\nIjRbt0KQJIfhclAQpNhYmHU6WIcPB9Rq+w7eMpiIiKjB4JBCDV5OoYTF2YU4W1CGDkFWLBgQiPBA\n0dtlNW5WK/x27YL/hg0QMzIgFBQ4DJc1GliiomA2GGCJjgb86/rsdyIiIlKyGoeUvn37QhCEWiUT\nBAEHDhyoc1FE7pJTKGHK5is4XWi/Pe2eyyXYl2dGenRLDipeoPrhB2iNRojJyQj+9Ven8ZbBgyHp\n9ZCmTIHcooUHKiQiIiIlqHFIGTZsWJUh5cCBA/jpp5/Qs2dPdO3aFQBw8uTJim39+/ev32qJamlx\ndmHFgFLudKEVi7ML8V4kf+j1BOHcOYjJydAajVAfOeI03hoRAUmvh1mng9ypU/0XSERERIpT45Cy\natWqSn/OzMzEhg0bkJGRgREjRlTa9+WXX2LWrFn4+9//Xj9V1oLJDdeluyNHuZKSErflcnc+JddW\nrq69OFtQVu32cwVldc6t9M/Pm/0QTCY03bgRAWlp8Nu7F4IsO4y3tm6NothYFE+ZAnOfPkD5L0hq\n0SOlf35K/H6UU/qxKj0f0Hj+u+EL+QD2Qwm5yrEXyskHKKsfzm524/KalH/84x946KGHqgwoABAZ\nGYk///nPeOWVVzBx4sTaV+lGdb27T25urtvvEKTkfEquzR296BBkxZ7LVb9EYUF+bqlVyZ+fu/M5\n7UdZGTRbtkCblATNpk0QyqofEMvZmjaFZdIkSAYDLJGRgEYDfwB1WW2i5M/P3fnc/W+Vko9V6fka\n2383lJ6P/VBOLvZCWfl8oR83cnlIOXXqFEIcPBQtJCQEp0+fdktRRO6yYEAg9uWZK13y1TlQjQUD\nAr1YVQNis0G9d6/9QYtpaVDl5zsMl9VqWMaMgaTX48rw4Qhq185DhRIREZEvcXlI6dy5M9asWYOZ\nM2eiWbNmlfYVFhZizZo16MTrx0lhwgNFpEe3xOLsQpwrKENYkB/v7uUGqmPHIBqN0CYlQfXLL07j\nLQMG2BfAT50KuU0bAIDMWwYTERFRDVweUv7+979j1qxZuPPOOzF9+nR07twZgP0MS2JiIvLy8vDh\nhx/WV51ENy08UMR7kS1gMpn4sL86EC9fhjYry74A/uBBp/HWTp3sg4leD1u3/2fv7qOjqM/+j382\nySaEuElKgCASIkgQUQSDSEEEi4UooIBAEK34TKW01VqF4kmr1bRgRSq3RapYWxUVEp4U/SmKgCJP\notEKSm0UjFCBhEA2CyRks9nfH2lSAnlYyOzud7Pv1zk9x8xMPnuN1z3cXO7MfLsFoEIAANBS+Dyk\njBo1Srm5uXrooYf05JNP1tnXq1cv/eUvf9FVV11leYEAgsjlkv2NN2TPzdXF69fLVlXV6OFVbdrI\nff31cmdmytOv3/8egAcAADgNp7WY49ChQzV06FAdOHBAe/bskSSlpKQoOTnZL8UBCAK3W1Hr1lU/\nZ/Lmm7I18fYOb6tWco8YIXdmpiqHDpWiowNUKAAAaKnOaMX55ORkBhOgJfF6FfnJJ7IvWVL9APzB\ng40fbrPJM3iwKjIz5b72Wik+PkCFAgCAcHBGQwqAliFi167qb0xychS5a1eTx3t69aoeTMaNk7dj\nxwBUCAAAwhFDChBmbAcPyr58uey5uYratq3J46s6dVLFhAn6+rLLlHLNNQGoEAAAhDuGFCAcHDsm\n+1tvyZ6To6j33pOtsrLRw73x8XKPHauKzEx5BgyQIiJUnp8foGIBAEC4Y0gBWiqPp/oB+CVLZH/j\nDdmOHGn0cG90tCqHD1dFZqYqhw+XWrUKUKEAAAB1MaQALYnXq4jPP1d0To7icnMVVVjY5K9UDhyo\niokT5R49WkpMDECRAAAAjTujIeXIkSMqKSmR1+s9ZV9KSkqziwJwemwFBYpeulT23FxF/utfTR7v\n6dFD7sxMVYwfL2/nzgGoEAAAwHc+Dynl5eV67LHH9NJLL+nQoUMNHtfYvkBwOp1GZNQoa2KNiWDm\nmVxbjXDpxZnk2ZxOtX7zTcWtWKFWH33U5PGV7dvr2OjROjp2rNw9e/5vocXT+HdMP8zJk6zrh+nn\nanqexLVhUp5EP0zIqkEvzMmTzOpHQkJCo/t9HlJ+/etf69VXX9XIkSM1YMAAJRp6W0hTJ9yUwsLC\nZmeczOQ8k2sLt174lFderqjVqxWdm6uod96RraKi0cO9Z50l97XXqmLiRHmuuEKKjFTrM6yNfpiV\nZ3U/TD5X0/O4NszKox/mZNELs/JCoR8n8nlIWbVqlSZPnqwnn3zSb8UAqEdVlSI3bVJ0To7sK1fK\nVlra6OHeqChVXnWVnNdeK/v110utz3QsAQAACA6fhxSbzabevXv7sxYAJ4j48kvZc3MVnZuriL17\nmzy+sl8/uTMz5R47Vt62bXXM6VQCAwoAAAhBPg8pI0aM0Pr163Xbbbf5sx4grNm+/172ZcsUvWSJ\nInfsaPJ4z3nnVQ8mEyaoqmvXAFQIAADgf6f1TMrtt9+uX/7yl5o8ebI6deqkyMjIU45r166dpQUC\nLV5pqeyvv672r76qmE2bZKvnrXknqmrbVu7rr5d74kR50tP/9wA8AABAC+HzkNKvXz9J0vbt27Vo\n0aIGjwv2272AkFBRoaj33pM9J0f2t96Srby80cO9sbFyjxold2amKq+8UrLbA1MnAABAEPg8pEyf\nPl02/ostcOa8XkV+9JHsubmyL1+uiCYGem9EhCqvvLL6dq6RIyWHI0CFAgAABJfPQ8rMmTP9WQfQ\nYkXk51d/Y5Kbq8hvv23y+Mo+faoHk3Hj5E1O9n+BAAAAhjmjFecBNM5WWCj7smWy5+YqKi+vyeOr\nOneW67rrFHHzzao6//wAVAgAAGCu0x5Stm7dqs8++0ylpaWqqqqqs89ms2n69OmWFQeElKNHZX/z\nTdlzchS1bp1sHk+jh1clJlY/AJ+ZKU///nKWlvp1USQAAIBQ4fOQUlJSookTJ2rbtm3yer2y2Wzy\n/vctRDX/zJCCsFNZqaj166tv53rzTdmOHm30cG9MjCqvvloVmZmqHDZMio4OUKEAAAChw+ch5aGH\nHtLnn3+uZ599Vv369VOfPn20fPlypaam6v/+7//06aefatmyZf6sFTBCQWmFXsnZpEveXaaMLf9P\ncc7iRo/32mzyDBqkigkT5L7uOikxMUCVAgAAhCafh5TVq1dr8uTJGj9+fO1rhiMiItS1a1c9+eST\nuuGGG/Tggw/q2Wef9VuxQDDZvv1Wx15arLiXl2j2/t1NHu/p2VMVEydWPwDfqVMAKgQAAGgZfB5S\nDh8+rAsvvFCSZP/vGg1HT7i1ZdiwYfrDH/5gcXlAcNkOHZJ9xYrq50y2blV8E8dXdewo94QJqpgw\nQVUXXRSQGgEAAFoan4eU9u3b6+DBg5Ikh8Mhh8Oh/Pz82v2HDx+Wp4kHhQPB6XQakVGjrKzMsiyr\n80yurUYwemErL1fsmjVqvXKlYtetk62ystHjna3O0geXDddlUyfoeP/+UmTkf3ecXu30g7zTZVU/\nTD9X0/Mkrg2T8iT6YUJWDXphTp5kVj+aelnQaa04v3nz5tqff/zjH+upp55Shw4dVFVVpaefflqX\nXXbZmVdqkea+HamwsNDyNyyZnGdybQHthcejyA8/VHROjuyvvy6by9VoTkVklP7fBYP1ct9ReqPn\nEF3b4wcaPKSNWvmrPgPywu3aMD3P6n6YfK6m53FtmJVHP8zJohdm5YVCP07k85By1113aeXKlSov\nL1erVq306KOPauzYsbr77rslSeedd55mz57tt0IBy3m9itixo3owWbZMEd9/3+SvHO13mWadP0IL\negzTobjqB+C7OCKVlc5q8AAAAFbxeUgZMGCABgwYUPvzOeecoy1btuiLL75QZGSkunfvrqgo1oaE\n+Wx798q+dKmic3IU+eWXTR7vSUuTe+JEVYwfL++55yrT5da/81zaW3pcneJjlJXuUKrDHoDKAQAA\nwkOzpoqIiAj16tXLqloA/ykpUdzixYp74w1Fbtwo23/X+GlIVfv2co8bp4qJE1XVu7dks9XuS3XY\ntXBIGzmdThZfBAAA8IPTHlL+9a9/6dtvv1VJSUntYo4nmjRpkiWFAc12/Lii3n1X0Tk5ilq9Wrbj\nxxs93BsXJ/eoUXJnZqpyyBCJbwYBAACCwue/he3evVtTpkzRJ598Uu9wIlWvPM+QgqCqqlLkli3V\nK8CvXKmIkpJGD/dGRqpy6FC5MzPlHjFCiosLUKEAAABoiM9Dyr333qsvv/xSs2bN0oABA5TIqtkw\nSMRXX8mek6PonBxF7NnT5PGVfftWDybXXy9vu3YBqBAAAAC+8nlI2bp1q+677z799Kc/9Wc9gM9s\n+/dXPwCfm6vIf/6zyePdnTvLc8MNcmdmqqpbtwBUCAAAgDPh85CSlJSk+Pim1tsG/Mzlkv2NN6pX\ngH//fdmqqho9vKpNG7nHjZN7wgQd6t5dCXwDCAAAYLwIXw+8/fbblZOTY9mq8rNmzVJiYmKd/3Xv\n3r12v9fr1axZs9SjRw916NBBI0eO1M6dOy35bIQYt1tRq1cr9o47FN+9u1pPnSr7unUNDijeVq1U\ncf31Orp4sVxffaXyxx+X57LL6ryhCwAAAOZq8JuUFStW1Pm5S5cuqqys1OWXX65JkybpnHPOUWRk\n5Cm/N3bsWJ8/PC0tTW+88UbtzyfmzZs3T/Pnz9f8+fOVlpamP/3pTxo7dqy2bdsmh4OF81o8r1dx\nO3ao1bPPyr58uSKKixs/3GZT5ZAh1c+ZjBolhdC3fgUut7LzXNpTelwp8R7WXQEAAGGvwSHl9ttv\nl81mq32T14n//PDDD9f7Ozab7bSGlKioKCUnJ5+y3ev1asGCBbr33ns1evRoSdKCBQuUlpampUuX\n6rbbbvP5MxBaIr75pvrNXLm5umDXriaP9/TqpYrMTLnHjZO3Y8cAVGitApdbY1YXa7er+hvKLQfL\n9HFRhVZmJDGoAACAsNXgkLJq1Sq/f/i3336rHj16KDo6Wpdeeql+97vf6dxzz1VBQYEOHDigoUOH\n1h4bGxurgQMHauvWrQwpLYzt4EHZly+vfs7k44+bPL6qU6fqwWTCBFVdcEEAKvSf7DxX7YBSY7fL\no+w8lxYOaROkqgAAAILLVlJS0vjS237y7rvv6siRI0pLS9PBgwf1+OOPKz8/X1u2bFF+fr4yMjK0\nfft2paSk1P7OtGnTtG/fPi1fvrzB3Pz8/ECUj2aKKC9X4vvvq83bbyth82bZmnjWqdLh0OGrrlLx\nNdfoSJ8+UoTPj1MZ7e7PY/RJ6am3TfZN8OivvRpffBIAACBUpaWlNbrf57d79e7dW7NmzdKIESPq\n3f/2229rxowZ+qcPr4KVpGHDhtX5uV+/furdu7deeeUV9evXz9eyTtHUCTclPz+/2RkncjqdSkhI\nMDIv4LV5PIr64APZlyyR/Y03ZDtypNG8KrtdnquvVkVmpiqHD1d0TIzO9md9Qcjr+v0hfVJadur2\npLOUlta5WdlWn284XRuhkGdlP0w/V9PzuDbMyqMfZmRJ9MK0PNP7cTKfh5TvvvtOR48ebXD/0aNH\ntceHRfQaEhcXpx49emjXrl0aNWqUJKmoqKjONylFRUVq3779GX8GgsDrVcQ//6nonJzqB+D372/y\nVyoHDlTFxIn66qKL1LVv3wAUGTxZ6Q59XFRR55avLo5IZaXzcggAABC+fB5SpOoH4xvy9ddfN+ut\nW+Xl5crPz9cVV1yh1NRUJScna926dUpPT6/dv3nzZj3yyCNn/BkIHFtBgaKXLpU9J0eRX33V5PGe\nHj3knjhRFePGydu5+hsETxjcupfqsGtlRpKy81zaW3pcneJjeLsXAAAIe40OKa+88opeffXV2p/n\nzJmjF1544ZTjSkpK9OWXX+rqq6/2+YOzsrJ09dVXq1OnTrXPpBw7dkyTJk2SzWbT1KlTNXfuXKWl\npalbt26aM2eO4uLiNH78+NM4PQRSREmJomsegN+8ucnjqzp0kHv8eFVkZqqqV6+wXcck1WHXwiFt\n/P61KQAAQKhodEgpKytT8QnrUxw5ckQR9TywHBcXp9tvv10zZszw+YO///573XnnnSouLlbbtm11\n6aWX6t1331Xn//5X9HvuuUdlZWV64IEHVFJSor59+2r58uWskWKa8nJFrV6t6Jwcxb/zjmxud6OH\nex0Oua+9VhUTJ8ozaJBUz1o7AAAACG+NDil33HGH7rjjDknSxRdfrNmzZzf44Pzpev755xvdb7PZ\nNHPmTM2cOdOSz4OFqqoUuXGjonNzZV+5UrbS0kYP90ZFqfKqq+SeOFHuq6+WWrcOUKEAAAAIRT4/\nk/L555/7sw6EgIgvv5Q9J0fRS5cqYu/eJo+vvOyy6hXgx46VNykpABUCAACgJTitB+cRfmz/+Y/s\ny5YpOidHkTt2NHm857zzqgeTzExVdekSgAoBAADQ0jCk4FROp+yrVlUPJhs2yOZtfL3PqrZt5R43\nTodHjlTsFVeE7QPwAAAAsAZDCqpVVChqzRrZc3Nlf+st2crLGz3cGxsr96hRcmdmqvLKKyW7XRVO\np2IZUAAAANBMDCnhzOtV5NatstcstHj4cOOHR0So8kc/qr6da+RI6ayzAlQoAAAAwolPQ4rH49H3\n33+vs846Sz/4wQ/8XRP8LCI/X/YlS9RxyRJF7dnT5PGVffpUDybjxsmbnByACgEAABDOfBpSqqqq\ndMkll+jhhx/Wz3/+c3/XBD+wFRbKvmxZ9UKLn37a5PFVnTurouYB+O7dA1AhAAAAUM2nIcVut6tD\nhw6yhcDzBk6n04iMGmVlZZZlnW6e7ehRxa5erbiVK9Xqww9l83gaPd6TkKBj116ro2PGqOLSS//3\nALyP/z6sPtfqj24ZvWgJeRL9MClPsq4fpp+r6XkS14ZJeRL9MCGrBr0wJ08yqx8JCQmN7vf5mZSb\nbrpJr7zyiu644w61atWqWUX5U1Mn3JTCwsJmZ5wsoHmVlYpav776OZM33pDt2LFGs7wxMXJfc031\nA/A//rEUHa1YSbH+qO00hXwvWlge/TArz+p+mHyupudxbZiVRz/MyaIXZuWFQj9O5POQ0q1bN1VV\nValfv36aNGmSzj33XMXGnvpX2bFjx1paIHzg9Sry009lX7Kk+gH4oqLGD7fZ5Bk0SM5rr1XUxImS\nH/8PDAAAADhdPg8pU6ZMqf3nxx9/vN5jbDYbQ0oA2b79VtE5ObLn5Cjy66+bPN5z4YWqmDix+gH4\nc87RUafTrxMwAAAAcCZ8HlJWrVrlzzrgo4hDhxSdmyt7bq6itm5t8viqjh3lnjBBFRMmqOqiiwJQ\nIYKtwOVWdp5Le0qPKyXeo6x0h1Id9mCXBQAA4DOfh5RBgwb5sw40pqxM9rffln3JEsWvWSNbZWWj\nh3vj4+UePVoVEybIM2iQFBERoEIRbAUut8asLtZuV/VLErYcLNPHRRVamZHEoAIAAELGaS/mWFpa\nqk8++URFRUW68sor1b59e3/UBY9HkR9+qOglS2RftUo2l6vRw712uyqHDVPFxImqzMiQDH65Afwn\nO89VO6DU2O3yKDvPpYVD2gSpKgAAgNNzWkPKE088oblz5+rYsWOy2WxasWKF2rdvr+LiYl100UX6\nwx/+oNtvv91ftbZ8Xq8iduyofs5k6VJF7NvX5K9UDhhQvdDimDHystBm2Nt3rP7XTO9vYDsAAICJ\nfB5Snn/+eWVnZ2vy5Mn60Y9+pNtuu612X1JSkkaMGKGVK1cypJwB2549il66VPbcXEV++WWTx3u6\nd5c7M1MV48fLe+65/i8QIePs1pH1bu/QwHYAAAAT+TykPPPMMxozZozmzZunQ4cOnbL/4osv1oIF\nCywtrkUrKZH99dcVvWSJojZubPLwqvbt5R4/XodGjFDryy//30KLwAmy0h36uKiizi1fXRyRykp3\nBLEqAACA0+PzkPLtt99q6tSpDe5PTEzU4cOHLSmqxTp+XFHvvKPonBxFrV4tW0VFo4d74+LkHjVK\n7okTVTl4sBQVJbfTyYCCBqU67FqZkaTsPJf2lh5Xp/gY3u4FAABCjs9DSmJioooaWSRw586dSk5O\ntqSoFqWqSpGbNsmek6PoFStkczobPdwbGanKq66qfs7kmmukuLgAFYqWItVh18IhbeRkHRwAABCi\nfB5Shg8frhdeeEF33nnnKft27NihF198UZMnT7a0uJBWWamYWbPUcckSRe3d2/ThfftWDybXXy9v\nu3YBKBAAAAAwk89DSlZWltatW6cBAwZo+PDhstlsevnll/XCCy/ozTffVMeOHTV9+nR/1hpaoqIU\n9d57jQ4oni5dqgeTzExVnXdeAIsDAAAAzOXzkJKcnKz169fr0Ucf1euvvy6v16vc3Fw5HA5NmDBB\nDz/8sNq0YR2GE7kzMxX12Wd1tlUlJcl9/fVyZ2bKc+mlPF8CAAAAnOS01klp27at5s2bp3nz5ung\nwYOqqqpS27ZtFWHQiubOJp75CFSGJEUMG6ZzsrLktdtVlpGho2PGqHzwYMn+34eYS0tPO7OsrMyS\n2qzO8keeZF0vJPPP1/Q8iX6YlCdZ1w/Tz9X0PIlrw6Q8iX6YkFWDXpiTJ5nVj6aemz3tFedrtG3b\n9kx/1a+a+6BwYWGhdQ8bJySo6B//UMyVV0rx8YqRFGNJrHUPQ1v9YLWVeZb24r/IO3P0w6w8q/th\n8rmanse1YVYe/TAni16YlRcK/TiRz0PKY4891uh+m82mVq1aqWPHjho4cKA6duzY7OJagvIhQxQT\nHx/sMgAAAICQ4fOQMnv2bNn++/yE1+uts+/k7ZGRkbrlllv0+OOPG3UrGAAAAADz+TxBfPHFF+rZ\ns6cmTZqk9evX67vvvtN3332ndevW6YYbbtBFF12kbdu26f3339eECRP097//XU888YQ/awcQAAUu\nt+56/5Du/jxGd71/SAUud7BLAgAALZzPQ8r999+v888/X/Pnz1fv3r3lcDjkcDjUp08fPf300+rW\nrZseeughXXzxxVqwYIGuuuoqLV682J+1A/CzApdbY1YXK3dXmT4pjVTurjKNWV3MoAIAAPzK5yFl\nw4YNuvzyyxvcf/nll+uDDz6o/XnYsGHa68MihgDMlZ3n0m6Xp8623S6PsvNcQaoIAACEA5+HlOjo\naG3btq3B/du2bVN0dHTtz5WVlYqLi2tedQCCat8xT73b9zewHQAAwAo+Pzg/btw4Pffcc0pISNAd\nd9yhLl26SJJ2796t5557Tjk5Obrzzjtrj9+wYYPOP/986ysGEDBnt46sd3uHBrYDAABYwech5ZFH\nHlFRUZGeeeYZPfvss3Xe6OX1enXdddfpkUcekSSVl5erT58+6t+/v3+qBhAQWekOfVxUUeeWry6O\nSGWlO4JYFQAAaOl8HlJatWqlv//977r33nv13nvvac+ePZKklJQUDR06VH369Klz7IwZM6yvFkBA\npTrsWpmRpOw8l3YVH1HXpLOUle5QqsMe7NIAAEALdtorzvfu3Vu9e/f2Ry0ADJTqsGvhkDbKzy9W\nWlrnZucVuNzKznNpT+lxpcR7GHoAAMApTntIkaQjR46opKTklEUdpepvVgCgPjWvNK65fWzLwTJ9\nXFShlRlJDCoAAKCWz0NKeXm5HnvsMb300ks6dOhQg8c1tg9AeGvslcYLh7QJUlUAAMA0Pg8pv/71\nr/Xqq69q5MiRGjBggBITE/1Z1xlzOp1GZNQoKyuzLMvqPJNrqxEuvQiFPKn5/dhTerze7XtLjzc7\n2/R/fyb2o4bp52p6nsSfVSblSfTDhKwa9MKcPMmsfiQkJDS63+chZdWqVZo8ebKefPLJZhXkb02d\ncFMKCwubnXEyk/NMri3cemF6nhX9SIn3aMvBU/9Q6xQfY0mtJv/7szrP6uvD5HM1PY8/q8zKox/m\nZNELs/JCoR8n8nkxR5vNxgPzAJolK92hLo66a6zwSmMAAHAyn4eUESNGaP369X4sBUBLV/NK4wld\nYzWgbYQmdI3loXkAAHCK03om5fbbb9cvf/lLTZ48WZ06dVJk5KmrTrdr187SAgG0LDWvNHY6nX79\nmhgAAIQun4eUfv36SZK2b9+uRYsWNXgcb/cCAAAA0Bw+DynTp0+XzWbzZy0AAAAA4PuQMnPmTH/W\nAQAAAACSznDFea/Xq+LiYklSUlIS37AAAAAAsIzPb/eSpF27dunWW29V586d1b17d3Xv3l2dO3fW\n7bffrl27dvmrRgAAAABhxOdvUnbu3KmMjAyVl5frmmuuUffu3SVJ//73v/Xmm29q7dq1euutt3TB\nBRf4rVgAAAAALZ/PQ8rDDz+s1q1ba/369eratWudfbt379Y111yj3//+91q8eLHlRQIAAAAIHz7f\n7rV582bdeeedpwwoktSlSxfdcccd2rRpk6XFAQAAAAg/Pg8pHo9HMTExDe5v1aqVPB6PJUUBAAAA\nCF8+3+7Vu3dvvfjii7r55puVmJhYZ19JSYlefPFF9enTx/ICT5fT6TQio0ZZWZllWVbnmVxbjXDp\nRSjkSfTDpDzJun6Yfq6m50lcGyblSfTDhKwa9MKcPMmsfiQkJDS63+ch5cEHH9TYsWN16aWX6sYb\nb1S3bt0kSfn5+Vq8eLGcTqeefPLJZhVrhaZOuCmFhYXNzjiZyXkm1xZuvTA9j36YlWd1P0w+V9Pz\nuDbMyqMf5mTRC7PyQqEfJ/J5SBk0aJCWLVumrKwsPfXUU3X29e7dW88//7wuv/xyywsEAAAAEF5O\nazHHwYMH64MPPtCBAwe0Z88eSVJKSoqSk5P9UhwAAACA8HNGK84nJyczmAAwQoHLrew8l/aUTPMw\nxAAAIABJREFUHldKvEdZ6Q6lOuzBLgsAADRDg0PKxo0bzyiQW74ABEqBy60xq4u121X9ZsEtB8v0\ncVGFVmYkMagAABDCGhxSRo0aJZvN5nOQ1+uVzWbToUOHLCkMAJqSneeqHVBq7HZ5lJ3n0sIhbYJU\nFQAAaK4Gh5RVq1YFsg4AOG37jtW/NtP+BrYDAIDQ0OCQMmjQoEDWAQCn7ezWkfVu79DAdgAAEBp8\nXnEeAEyTle5QF0fdgaSLI1JZ6Y4gVQQAAKxgzJAyd+5cJSYm6oEHHqjd5vV6NWvWLPXo0UMdOnTQ\nyJEjtXPnziBWCcAkqQ67VmYkaULXWA1oG6EJXWN5aB4AgBbAiCFl27Zt+sc//qELL7ywzvZ58+Zp\n/vz5euyxx7R27Vq1a9dOY8eOlcvlClKlAEyT6rBr4ZA2Wjy4tRYOacOAAgBACxD0IcXpdOquu+7S\nX/7yFyUmJtZu93q9WrBgge69916NHj1aPXv21IIFC3TkyBEtXbo0iBUDAAAA8KegDyk1Q8jgwYPr\nbC8oKNCBAwc0dOjQ2m2xsbEaOHCgtm7dGugyAQAAAASIraSkxBusD3/hhRf0/PPPa82aNbLb7Ro5\ncqR69uypxx9/XFu3blVGRoa2b9+ulJSU2t+ZNm2a9u3bp+XLl9ebmZ+fH6jyAQAAAJyBtLS0Rvc3\n+Arik23evFk7duzQXXfdVbtt2bJlmjVrlpxOp8aNG6c//vGPiojw7cuZ/Px8PfLII3r77bdlt1t3\nD3lTJ9yU/Pz8ZmecyOl0KiEhwcg8k2uTwqsXoZBHP8zKs7Ifpp+r6XlcG2bl0Q8zsiR6YVqe6f04\nmc+3e/3hD3/Qpk2ban/++uuvNXXqVEVERKhPnz569tln9de//tXnD/7oo49UXFysH/7wh0pKSlJS\nUpI2btyo5557TklJSWrTpnq16KKiojq/V1RUpPbt2/v8OQAAAABCi89Dyr/+9S/17du39ufFixer\nVatWWrNmjXJzczVx4kQtWrTI5w8eOXKkNm3apA0bNtT+75JLLtG4ceO0YcMGdevWTcnJyVq3bl3t\n75SXl2vz5s3q37+/z58DAAAAILT4fLuXy+Wq8/at9957Tz/60Y8UHx8vSRowYIBWrVrl8wcnJibW\nyZOk1q1b6wc/+IF69uwpSZo6darmzp2rtLQ0devWTXPmzFFcXJzGjx/v8+cAAAAACC0+DykdOnTQ\nV199JUnat2+fPv/8c9166621+0tLSxUV5XOcT+655x6VlZXpgQceUElJifr27avly5fL4WA1aQAA\nAKCl8nmquPbaa7Vw4UIdP35cn3zyiVq1aqURI0bU7t+xY4dSU1ObVcybb75Z52ebzaaZM2dq5syZ\nzcoFAAAAEDp8HlJmzpypwsJC5eTkKD4+Xk8//bTatWsnqfpblFWrVtV58xcAAAAAnAmfh5S4uDg9\n++yz9e4766yz9OWXX6p169aWFQYAAAAgPJ3RivPl5eX6/vvvVVFRUR0SEaGEhARL1zsBAAAAEJ5O\na0jZuHGjrr76anXq1EkXXXSRNm/eLEkqLi7Wddddp7Vr1/qlSAAAAADhw+chZcOGDRozZoycTqfu\nuusueb3e2n1JSUmSpBdffNH6CgEAAACEFZ+HlD/+8Y+6+OKLtWHDBt1///2n7L/88suVl5dnaXEA\nEGgFLrfuev+QJn5wTHe9f0gFLnewSwIAIOz4/OD8Z599pt///veKioqSzWY7Zf/ZZ5+twsJCS4sD\ngEAqcLk1ZnWxdrs8kqQtB8v0cVGFVmYkKdXBM3cAAASKz9+k2O12ud0N/xfF//znPyyyCCCkZee5\nageUGrtdHmXnuYJUEQAA4cnnb1L69++v1157TdOmTTtl35EjR/Tyyy9r0KBBlhZ3JpxOpxEZNcrK\nyizLsjrP5NpqhEsvQiFPavn92FN6vN7te0uPN/vcTe6Hib0IpTyp5V8boZQn0Q8TsmrQC3PyJLP6\nkZCQ0Oj+01rMccSIEbr++us1btw4SdLnn3+ub775RvPnz9fhw4f1wAMPNKtYKzR1wk0pLCxsdsbJ\nTM4zubZw64XpeeHQj5R4j7YcPPUP3U7xMZbUanI/TOtFKOWFw7URSnn0w5wsemFWXij040Q+3+6V\nnp6upUuXau/evfr5z38uSfrd736nX//615Kk3Nxc9ezZ0z9VAkAAZKU71MURWWdbF0ekstK5lRUA\ngEDy+ZsUSRo0aJA++ugjbd++Xd98842qqqrUpUsX9enTp96H6QEglKQ67FqZkaTsPJf2lh5Xp/gY\nZaU7eGgeAIAAO60hpUavXr3Uq1cvq2sBgKBLddi1cEgbOZ1Ov36NDQAAGtbgkLJx48YzCrz88svP\nuBgAAAAAaHBIGTVqVJ1buLxer0+3dB06dMiaygAAAACEpQaHlFWrVtX5uaKiQr/73e9UUVGhm2++\nWd26dZMkff3113rppZcUExOjRx55xL/VAgAAAGjxGhxSTl7z5MEHH1SrVq303nvvKSYmps6+O++8\nU6NGjdKaNWv0ox/9yD+VAgAAAAgLPr+CODc3VxMmTDhlQJGk2NhYZWZmKicnx9LiAAAAAIQfn4eU\nY8eO6cCBAw3u37dvn19WxgQAAAAQXnweUoYMGaK//vWveu21107Z99prr+mZZ57RkCFDLC0OAAAA\nQPjxeZ2UOXPm6LrrrtNtt92m9u3bq0uXLpKk3bt3q7CwUF26dNGf/vQnvxUKAAAAIDz4PKR07NhR\nH374of7+979rzZo12rNnjyTpwgsv1L333qtbbrlFsbGxfisUAAAAQHg4rRXnW7VqpalTp2rq1Kn+\nqqfZnE6nERk1rH5Ox8o8k2urES69CIU8iX6YlCdZ1w/Tz9X0PIlrw6Q8iX6YkFWDXpiTJ5nVj4SE\nhEb3n9aQEgqaOuGmFBYWNjvjZCbnmVxbuPXC9Dz6YVae1f0w+VxNz+PaMCuPfpiTRS/MyguFfpyo\nwSFl2rRpstlsmjdvniIjIzVt2rQmw2w2m/7yl79YWiAAAACA8NLgkPLBBx8oIiJCVVVVioyM1Acf\nfCCbzdZoWFP7AQAAAKApDQ4p27dvb/RnAAAAAPAHn9dJAQAAAIBAsGxIWbNmjUaMGGFVHAAAAIAw\n5dPbvT799FPt3r1biYmJGjhwoFq1alW7b8WKFfrzn/+s7du3+/UJfwAAAADhodEhxel06oYbbtDW\nrVtrt7Vr1065ublq3bq17rzzTv3zn/9Up06dlJ2drVtuucXvBQMAAABo2RodUv74xz9qy5Ytuv76\n6zVgwAAVFBTob3/7m6ZNm6bi4mK1atVKzzzzjMaNG6fIyMhA1QwAAACgBWt0SHnrrbc0duxY/e1v\nf6vddv755+sXv/iFfvjDH2r58uWKjY31e5EAAAAAwkejD87v27dPQ4YMqbOt5ucpU6YwoAAAAACw\nXKNDSmVlpVq3bl1nW1xcnCSpTZs2/qsKAAAAQNhq8u1eLpdLRUVFtT8fOnRIUvVD9Sdur9GuXTsL\nywMAAAAQbpocUu6//37df//9p2y/9dZb6z2+ZogJFqfTaURGjbKyMsuyrM4zubYa4dKLUMiT6IdJ\neZJ1/TD9XE3Pk7g2TMqT6IcJWTXohTl5kln9aGrpkkaHlBkzZjTrw4OhuWu1FBYWWr7ei8l5JtcW\nbr0wPY9+mJVndT9MPlfT87g2zMqjH+Zk0Quz8kKhHydqdEj5zW9+47cPBgAAAID6NPrgPAAAAAAE\nWpPPpAAAzlyBy63sPJf2lB5XSrxHWekOpTrswS4LAACjMaQAgJ8UuNwas7pYu10eSdKWg2X6uKhC\nKzOSGFQAAGgEt3sBgJ9k57lqB5Qau10eZee5glQRAAChgSEFAPxk3zFPvdv3N7AdAABUa3BIGTx4\nsNasWVP786uvvqqCgoKAFAUALcHZrSPr3d6hge0AAKBag0PKF198oYMHD9b+PG3aNH300UcBKQoA\nWoKsdIe6OOoOJF0ckcpKdwSpIgAAQkODQ0rnzp21du1aHTlyRJLk9Xpls9kCVhgAhLpUh10rM5I0\noWusBrSN0ISusTw0DwCADxp8u9eUKVP04IMPaunSpZIkm82mKVOmaMqUKQ2G2Ww2FRcXW18lAISo\nVIddC4e0kdPp9OvKvAAAtCQNDilTp07VJZdcog8//FCFhYV67rnndOWVV+q8884LZH0AgBPUrLuy\n62CMun5/iHVXAAAtUqPrpPzwhz/UD3/4Q0nSwoULNWnSJE2YMCEghQEA6qq77kqkPill3RUAQMvk\n82KOhw8f9mcdAIAmNLbuysIhbYJUFQAA1jvtFeffeecdvfPOO/ruu+8kVT9gf/XVV+vHP/6x5cWd\nCafTaURGjbKyMsuyrM4zubYa4dKLUMiT6Eew8/aUHq93+97S483qjYnnGkp5EteGSXkS/TAhqwa9\nMCdPMqsfTT2n6fOQUl5erltuuUXvvvuuIiIi1KFDB0nS2rVr9fzzz2vYsGF68cUXFRMT06yCm6u5\nD6YWFhZa/nCryXkm1xZuvTA9j34EPy8l3qMtB0/9fwqd4mOanW3auYZSHteGWXn0w5wsemFWXij0\n40Q+rzg/a9YsvfPOO5o+fbp27dqlHTt2aMeOHdq9e7d+85vf6N1339Xs2bP9VigAhDvWXQEAhAuf\nh5Rly5bpJz/5iX7zm98oPj6+drvD4dD06dN10003KTc31y9FAgDqrrvSN8HDuisAgBbL5yGlqKhI\nl1xySYP7+/Tpo6KiIkuKAgDUr2bdlb/2Oq6FQ9owoAAAWiSfh5RzzjlHH3zwQYP7P/jgA51zzjmW\nFAUAAAAgfPk8pNx444167bXX9Itf/EI7d+6U2+2W2+3Wzp079ctf/lKrVq3ST37yE3/WCgAAACAM\n+Px2r/vuu08FBQVatGiRXn75ZdlsNkmS1+uV1+vVzTffrF/96ld+KxQAAABAePB5SImIiNBTTz2l\nu+++W++884727NkjSUpJSdHw4cN14YUX+q1IAAAAAOHjtBdzvPDCCxlIAAAAAPiNz8+kWG3hwoUa\nOHCgUlJSlJKSomHDhmn16tW1+71er2bNmqUePXqoQ4cOGjlypHbu3BmscgEAAAAESNCGlI4dO+r3\nv/+93n//fa1bt06DBw/WTTfdpB07dkiS5s2bp/nz5+uxxx7T2rVr1a5dO40dO1YulytYJQMAAAAI\ngKANKSNHjtSwYcPUtWtXdevWTb/97W911llnadu2bfJ6vVqwYIHuvfdejR49Wj179tSCBQt05MgR\nLV26NFglAwAAAAiAoA0pJ/J4PFq2bJmOHj2qyy67TAUFBTpw4ICGDh1ae0xsbKwGDhyorVu3BrFS\nAAAAAP5mKykp8Qbrw7/44gsNHz5c5eXliouL08KFC5WRkaGtW7cqIyND27dvV0pKSu3x06ZN0759\n+7R8+fIGM/Pz8wNROgAAAIAzlJaW1uh+n97udezYMXXq1EkPPvig7r//fksKk6qL27Bhg0pLS/Xa\na69p6tSpeuONN5qd2Rz5+fnNzjiR0+lUQkKCkXkm1yaFVy9CIY9+mJVnZT9MP1fT87g2zMqjH2Zk\nSfTCtDzT+3Eyn273at26tdq2bav4+HhLPzw6Olpdu3ZVnz599NBDD6lXr156+umnlZycLEkqKiqq\nc3xRUZHat29vaQ0AAAAAzOLzMyljxozRihUrVFVV5bdiqqqqVFFRodTUVCUnJ2vdunW1+8rLy7V5\n82b179/fb58PAAAAIPh8Xsxx1KhR2rBhg66++mpNnjxZ5557rmJjY085rm/fvj7lPfzwwxo+fLjO\nOeec2rd2ffjhh8rJyZHNZtPUqVM1d+5cpaWlqVu3bpozZ47i4uI0fvx4388OAAAAQMjxeUgZPXp0\n7T9v27ZNNputzn6v1yubzaZDhw75lHfgwAFNmTJFhYWFio+P14UXXqilS5fqqquukiTdc889Kisr\n0wMPPKCSkhL17dtXy5cvl8Ph8LVkAAAAACHI5yFl/vz5ln7wggULGt1vs9k0c+ZMzZw509LPBQAA\nAGA2n4eUG2+80Z91AAAAAICkM1zM8ZtvvtGWLVvkdDqtrgcAAABAmDutISU3N1cXXXSR+vXrpxEj\nRuizzz6TJBUXF6tv375asWKFX4oEAAAAED58HlJee+01TZkyRd27d9cjjzwir/d/C9UnJSWpe/fu\nWrx4sV+KBAAAABA+fB5SnnjiCV155ZVavnx5vc+nXHrppdqxY4elxQEAAAAIPz4PKf/+9781atSo\nBve3a9dOBw8etKQoAAAAAOHL5yGldevWOnr0aIP7d+/eraSkJEuKAgAAABC+fH4F8eDBg/XKK6/o\n7rvvPmXfvn379MILL2jEiBGWFncmrHjjmJVvLSsrK7Msy+o8k2urES69CIU8iX6YlCdZ1w/Tz9X0\nPIlrw6Q8iX6YkFWDXpiTJ5nVj4SEhEb3+zyk/Pa3v9VVV12lK6+8UmPGjJHNZtO7776rdevW6YUX\nXlBkZKRmzJjRrGKt0NQJN6WwsLDZGSczOc/k2sKtF6bn0Q+z8qzuh8nnanoe14ZZefTDnCx6YVZe\nKPTjRD7f7nXeeedp9erVSk5O1uzZs+X1ejV//nzNmzdPvXr10ttvv62UlBS/FQoAAAAgPPj8TYok\nnX/++VqxYoVKSkq0a9cuVVVV6dxzz1Xbtm39VR8AAACAMHNaQ0qNxMREpaenW10LACCAClxuZee5\ntKf0uFLiPcpKdyjVYQ92WQAAnN6QUlJSovnz52v16tX67rvvJEmdO3dWRkaGpk2bpsTERL8UCQCw\nVoHLrTGri7Xb5ZEkbTlYpo+LKrQyI4lBBQAQdD4/k7Jr1y4NGjRIc+bMUWVlpa644gpdccUVqqys\n1Jw5c3T55Zfrm2++8WetAACLZOe5ageUGrtdHmXnuYJUEQAA/+PzNykPPPCASktL9dprr2nw4MF1\n9r3//vu6+eabNWPGDC1dutTyIgEA1tp3zFPv9v0NbAcAIJB8/iZl8+bNuvvuu08ZUCRpyJAh+ulP\nf6pNmzZZWhwAwD/Obh1Z7/YODWwHACCQfB5SEhISGn3mJDEx0a/vSgYAWCcr3aEujroDSRdHpLLS\nHUGqCACA//F5SLn55pu1aNEiuVyn3q/sdDq1aNEiTZ482dLiAAD+keqwa2VGkiZ0jdWAthGa0DWW\nh+YBAMZo8JmUFStW1Pm5e/fustlsuvTSSzVp0iR17dpVkvTNN99o8eLFateundLS0vxbLQDAMqkO\nuxYOaSOn08k34QAAozQ4pNx+++2y2Wzyer2SVOef582bd8rxhYWFmjJlisaPH++nUgEAAACEgwaH\nlFWrVgWyDgAAAACQ1MiQMmjQoEDWYRmn02lERo2ysjLLsqzOM7m2GuHSi1DIk+iHSXmSdf0w/VxN\nz5O4NkzKk+iHCVk16IU5eZJZ/WjqNuPTWnE+FDT3vurCwkLL7802Oc/k2sKtF6bn0Q+z8qzuh8nn\nanoe14ZZefTDnCx6YVZeKPTjRKc1pGzYsEGLFi1SQUGBSkpKap9RqWGz2bRlyxZLCwQAAAAQXnwe\nUp566ik99NBDatWqlbp166a2bdv6sy4AAAAAYeq0hpT+/ftr8eLFvKoSAAAAgN/4PKSUl5crMzOT\nAQUAUK8Cl1vZeS7tKT2ulHiPstIdLA4JADgjPg8pV1xxhXbs2OHPWgAAIarA5daY1cXa7fJIkrYc\nLNPHRRWsYg8AOCMRvh74+OOPa+PGjfrzn/+soqIif9YEAAgx2Xmu2gGlxm6XR9l5riBVBAAIZT5/\nk9KxY0fddNNNevjhh/Xoo4/KbrcrIqLujGOz2fT9999bXiQAwGz7jnnq3b6/ge0AADTG5yHl0Ucf\n1Z///Gd17NhRffr0UXx8vD/rAgCEkLNbR9a7vUMD2wEAaIzPQ8o//vEPZWRk6OWXXz7lGxQAQHjL\nSnfo46KKOrd8dXFEKivdEcSqAAChyuchxe12a/jw4QwoAIBTpDrsWpmRpOw8l/aWHlen+Bje7gUA\nOGM+DylXX321Nm7cqNtuu82f9QAAQlSqw66FQ9rI6XTyunoAQLP4/LXI/fffr6+++kr33HOPPv74\nY+3fv19FRUWn/A8AAAAAmsPnb1L69+8vSdqxY4deeumlBo87dOhQ86sCAAAAELZ8HlKmT58um83m\nz1os4XQ6jcioUVZWZlmW1Xkm11YjXHoRCnkS/TApT7KuH6afq+l5EteGSXkS/TAhqwa9MCdPMqsf\nTd0W7POQMnPmzGYVEijNvQ+6sLDQ8nupTc4zubZw64XpefTDrDyr+2HyuZqex7VhVh79MCeLXpiV\nFwr9OBGv6gIAAABgFJ+/SXnssceaPMZms2n69OnNKggAAABAePN5SJk9e3aD+2w2m7xeL0MKAMAy\nBS63svNc2lN6XCnxHtZdAYAw4vOQcvjw4VO2VVVV6bvvvtNzzz2nTZs2aenSpZYWBwAITwUut8as\nLq5dwX7LwTJ9XFShlRlJDCoAEAaa9UxKRESEzj33XGVnZ+u8887jWxQAgCWy81y1A0qN3S6PsvNc\nQaoIABBIlj04P3DgQL3zzjtWxQEAwti+Y556t+9vYDsAoGWxbEj59NNPFRHBy8IAAM13duvIerd3\naGA7AKBl8fmZlFdffbXe7U6nU5s2bdKqVas0efJkywoDAISvrHSHPi6qqHPLVxdHpLLSHUGsCgAQ\nKD4PKT/72c8a3JeUlKRf/epXPJMCALBEqsOulRlJys5zaW/pcXWKj+HtXgAQRnweUv75z3+ess1m\nsykxMVEOB/9lCwBgrVSHXQuHtJHT6fTrqsYAAPP4PKR07tzZn3UAAAAAgCQLH5wHAAAAACs0+k1K\n7969TyvMZrPps88+a1ZBzeV0Oo3IqFFWVmZZltV5JtdWI1x6EQp5Ev0wKU+yrh+mn6vpeRLXhkl5\nEv0wIasGvTAnTzKrH03dxtvokNKjRw+fPmTPnj3auXOnbDab75X5SXPvWy4sLLT83meT80yuLdx6\nYXoe/TArz+p+mHyupudxbZiVRz/MyaIXZuWFQj9O1OiQsmTJkkZ/ec+ePZozZ47WrVunmJgY3Xzz\nzZYWBwAAACD8+Pzg/In27t2rJ554Qq+88ook6ZZbbtGvfvUrdezY0dLiAAAAAISf0xpS/vOf/+iJ\nJ57Qyy+/LEm6+eabdd999zGcAACMV+ByKzvPpT2lx5US72HdFQAwmE9DysnDyU9+8hPdd999Ouec\nc/xaHAAAVihwuTVmdXHtCvZbDpbp46IKrcxIYlABAAM1OqT85z//0dy5c/Xyyy/L6/UynAAAQlJ2\nnqt2QKmx2+VRdp5LC4e0CVJVAICGNDqkpKeny+12q1evXrrvvvvUqVMn7d+/X/v372/wd/r27Wt5\nkQAANMe+Y556t+9vYDsAILgaHVIqKiokSZ9//rluu+22RoO8Xq9sNpsOHTpkXXUAAFjg7NaR9W7v\n0MB2AEBwNTqkzJ8/P1B1AADgN1npDn1cVFHnlq8ujkhlpTuCWBUAoCGNDik33nij3z547ty5WrVq\nlb7++mtFR0fr0ksv1UMPPaSePXvWHuP1ejV79my98MILKikpUd++fTVnzhxdcMEFfqsLANDypDrs\nWpmRpOw8l/aWHlen+Bje7gUABosI1gd/+OGHuuOOO7R69Wq9/vrrioqK0pgxY3T48OHaY+bNm6f5\n8+frscce09q1a9WuXTuNHTtWLpcrWGUDAEJUqsOuhUPaaPHg1lo4pE2zB5QCl1t3vX9Id38eo7ve\nP6QCl9uiSgEAZ7SYoxWWL19e5+dnnnlGnTt31pYtW3TNNdfI6/VqwYIFuvfeezV69GhJ0oIFC5SW\nlqalS5c2+YwMAAD+UveVxpH6pJRXGgOAlYL2TcrJjhw5oqqqKiUmJkqSCgoKdODAAQ0dOrT2mNjY\nWA0cOFBbt24NVpkAADT6SmMAQPPZSkpKvMEuQpJuvfVWffPNN1q/fr0iIyO1detWZWRkaPv27UpJ\nSak9btq0adq3b98p38TUyM/PD1TJAIAwdffnMfqk9NQ3g/VN8OivvY4HoSIACC1paWmN7g/a7V4n\nevDBB7Vlyxa9/fbbioxs3usgmzrhpuTn5zc740ROp1MJCQlG5plcmxRevQiFPPphVp6V/TD9XE3M\n6/r9IX1SWnbq9qSzlJbWuVnZJp5vKOXxZ5UZWRK9MC3P9H6cLOi3e82cOVPLli3T66+/rnPPPbd2\ne3JysiSpqKiozvFFRUVq3759IEsEAKCOrHSHujjq/kc1XmkMANYJ6pAyY8aM2gGle/fudfalpqYq\nOTlZ69atq91WXl6uzZs3q3///oEuFQCAWjWvNJ7QNVZ9Ezya0DWWh+YBwEJBu93r/vvv15IlS7Ro\n0SIlJibqwIEDkqS4uDidddZZstlsmjp1qubOnau0tDR169ZNc+bMUVxcnMaPHx+ssgEAkPS/Vxrn\n5xc3+xYvAEBdQRtSnnvuOUmqfb1wjRkzZmjmzJmSpHvuuUdlZWV64IEHahdzXL58uRwOvk4HALQs\nBS63svNc2lN6XCnxHhabBBDWgjaklJSUNHmMzWbTzJkza4cWAABaorrrrkhbDrLuCoDwFvQH5wEA\nCHesuwIAdTGkAAAQZPuOeerdvr+B7QDQ0jGkAAAQZGe3rn+NsA4NbAeAlo4hBQCAIGPdFQCoy4gV\n5wEACGc1665k57m0t/S4OsXH8HYvAGGNIQUAAAPUrLvidDqVkJAQ7HIAIKi43QsAAACAURhSAAAA\nABilxd3u5XQ6jcioUVZWZlmW1Xkm11YjXHoRCnkS/TApT7KuH6afq+l5EteGSXkS/TAhqwa9MCdP\nMqsfTd3W2uKGlObex1tYWGj5vcAm55lcW7j1wvQ8+mFWntX9MPlcTc/j2jArj36Yk0UvzMoLhX6c\niNu9AAAAABiFIQUAAACAURhSAAAAABiFIQUAAACAURhSAAAAABiFIQUAAACAURhSAADvu45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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -263,22 +241,25 @@ } ], "source": [ - "X = range(40, 101)\n", - "M = [min(X), max(X)]\n", - "plt.plot(M, M, '-')\n", - "show(X, [sum(r.miles > x for r in rides) for x in X], fit=False,\n", - " xlabel='Ride Distance (miles)', ylabel='Number of Rides longer than x miles')" + "def edplot(distances, X):\n", + " M = [min(X), max(X)]\n", + " plt.plot(M, M, 'r-')\n", + " plt.title('Eddington Number = {}'.format(eddington(distances)))\n", + " show(X, [sum(d > x for d in distances) for x in X], fit=False,\n", + " xlabel='Ride Distance', ylabel='Number of Rides longer than distance')\n", + " \n", + "edplot(mls, range(46, 81))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Here the gap between the straight line and the dotted line is my Eddington gap: the lines cross at 52 so that's my Eddington Number; at 60 miles the gap is 28.\n", + "Here the gap between the straight line and the dotted line is my Eddington gap: the lines cross at 52 so that's my Eddington Number; at 60 miles the gap is 28, so I nneed 28 60+ mile rides to get an Eddington number of 60.\n", "\n", - "## Metric Eddington Number\n", + "# Metric Eddington Number\n", "\n", - "[Arthur Eddington](https://en.wikipedia.org/wiki/Arthur_Eddington) was born in 19th century England, so he used miles. You can get a more impressive number with your **metric** Eddington Number:" + "[Arthur Eddington](https://en.wikipedia.org/wiki/Arthur_Eddington) was born in 19th century England, so he used miles. You can get a bigger number using kilometers:" ] }, { @@ -290,40 +271,17 @@ "outputs": [ { "data": { + "image/png": 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1lUoYhw6FMSkJhqQkWMLCqg7yNslEdeIg4yEXdAbMz9Xh3DUfdLx8A7P7qhGh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\ndPToUbVu3VozZsxQz549y37vlClTtHDhQhUWFqpbt26aPn2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3ie5ef0T3fBmlu9cfUa67\nJCh1AQDhL+Bdyx544AHl5ubq1Vdf1aJFi+RwOCSd+lTE5/Np+PDhuv/++4Mf8JxzlJCQUGHd5/Np\n9uzZGj9+vAYOHChJmj17tlJSUrRs2TKNHDky6FkAAOGj/LbOEfqsiG2dAaAuCXiQqVevnv7yl7/o\nnnvu0bvvvqs9e/ZIkhITE9W3b1916tTJSMD//Oc/at++vc4991xdeumleuyxx9S6dWvl5ubq0KFD\n6tOnT9lro6Oj1aNHD23evJlBBgDOcmzrDAB1m6OwsNAX6hD+rFmzRkePHlVKSooOHz6sadOmKTs7\nW5s2bVJ2drbS0tK0bds2JSYmlr1n7NixOnDggJYvX+63bnZ2thXxAQAG3fNllD4rqrjzWbdYr17o\nXByCRACAYEpJSanyeMCfyITCddddV+7nyy67TF26dNHixYt12WWX1bpudSelMi6XS7GxsbX+nf5k\nZ2fXKk8gTGU2WduOmemhNXVN1rZjD+14noNdu83+I/qsyFNxPb6RUlJaBeV3SPTQiroS16FVtemh\nNXVN1rZjD01lDvhh/3DQsGFDtW/fXrt27Sp7bubnWz7n5+erWbNmoYgHALAQ2zoDQN1mq0Hm+PHj\nys7OVkJCgpKSkpSQkKB169aVO75x40Z17949hCkBAFY4fVvnbrFetnUGgDomrG8ty8jIUL9+/dSy\nZcuyZ2SOHTumYcOGyeFwaMyYMXrmmWeUkpKitm3bavr06WrYsKGGDBkS6ugAAAuUbuucnV0Q1NvJ\npFO7omVmubWnqFiJMV5lpDoZkgAgjIT1ILN//36NGjVKBQUFatKkiS699FKtWbNGrVqd+h+rcePG\nyePxaMKECSosLFS3bt20fPlyOZ3cVgAAqL3yWztLmw6ztTMAhJuABpljx46pZcuWevTRR/XQQw+Z\nzlRmwYIFVR53OBxKT09Xenq6RYkAAHUBWzsDQPgL6BmZBg0aqEmTJoqJiTGdBwCAkDtwzFvp+kE/\n6wAA6wX8sP+gQYP05ptv6uTJkybzAAAQcuc3qPj9NJLU3M86AMB6AT8jc8MNN2jDhg3q16+f7rjj\nDrVu3VrR0dEVXtetW7egBgQAwGoZqU5tzT9R7vYytnYGgPAS8CAzcODAsn/esmWLHA5HueM+n08O\nh0NHjhwJXjoAAEKgdGvnzCy39hYVq2VMFLuWAUCYCXiQmTVrlskcAACEldKtnU1+izYAoPYCHmRu\nu+02kzkAAAAAIGABP+x/uu+//16bNm2Sy+UKdh4AAAAAqFaNvhBz6dKlevLJJ7V//35J0ptvvqne\nvXuroKBAffv2VUZGhgYPHmwkaDDVZgDzeDwGkpxiaiA0mdlUbTtmluihFXVN17ZbD+16numh+bom\na5vMLNFDK2rTQ2vqmqxtxx7WNnN1t/UGPMisXLlSo0eP1jXXXKN77rlHf/zjH8uOxcfHq127dlqy\nZIktBpna3uts4h7pvLw8o/de27G23TLTQ+vqmqpt1x7aMbOp2vTQutqm6tJD62rTQ2vqmqxtxx6a\nqBvwrWUzZszQ1VdfreXLl1f6vMyll16q7du3BzUcAAAAAFQm4EHm22+/1Q033OD3eNOmTXX48OGg\nhAIAAACAqgR8a1mDBg30448/+j2ek5Oj+Pj4oIQCAOBslesuUWaWW3uKipUY4+X7aQCglgL+RKZX\nr15avHixTpw4UeHYgQMHtHDhQvXp0yeo4QAAOJvkuks0aHWBlu7yaNPhk1q6y6NBqwuU6y4JdTQA\nsJ2AB5k//vGPOnjwoK6++mrNnz9fDodDa9as0RNPPKEePXqoXr16euSRR0xmBQDA1jKz3Mpxe8ut\n5bi9ysxyhygRANhXwIPMhRdeqNWrVyshIUFTpkyRz+fTrFmzNHPmTHXu3Fn/+te/lJiYaDIrAAC2\nduCYt9L1g37WAQD+1eh7ZC666CK9+eabKiws1K5du3Ty5Em1bt1aTZo0MZUPAICzxvkNIipdb+5n\nHQDgX40GmVJxcXFKTU0NdhYAAM5qGalObc0/Ue72smRnhDJSnSFMBQD2VKNBprCwULNmzdLq1au1\ne/duSVKrVq2UlpamsWPHKi4uzkhIAADOBknOSK1Ii1dmllt7i4rVMiaKXcsAoJYCHmR27dqlAQMG\naN++ferQoYOuuuoqSdL333+v6dOna/HixXrrrbd04YUXGgsLAIDdJTkjNa93Y7lcrqB/0zVbOwOo\nSwIeZCZMmKCioiKtXLlSvXr1Knds/fr1Gj58uB555BEtW7Ys6CEBAEDVSrd2Lr1tbdNhj7bmn9CK\ntHiGGQBnpYB3Ldu4caPuueeeCkOMJPXu3Vv/8z//o08++SSo4QAAQGDY2hlAXRPwJzKxsbFVPgMT\nFxcX9I/ITXG5XDV+j8fjMZDklNrkCYTJzKZq2zGzRA+tqGu6tt16aNfzTA/N1d1TVFzp+t6i4qCd\nG5P9k+ihFbXpoTV1Tda2Yw9rm7m62SLgQWb48OF69dVXNXz4cDmd5XdXcblcevXVV3XHHXfUKqTV\najtwmRjU8vLyjA6Adqxtt8z00Lq6pmrbtYd2zGyqNj2UEmO82nS44l8WWsZEBfX3mDoX9NC62vTQ\nmroma9uxhybq+h1k3nzzzXI/t2vXTg6HQ5deeqmGDRumNm3aSDr1sP+SJUvUtGlTpaSkBD0gAACo\nHls7A6hr/A4yd955pxwOh3w+nySV++eZM2dWeH1eXp5Gjx6tIUOGGIoKAAD8YWtnAHWN30Fm1apV\nVuYAAABnyOTWzgAQbvwOMj179rQyBwAACFN8Pw2AcBTww/4AAKDu4ftpAISrGg0yGzZs0Kuvvqrc\n3FwVFhaWPTNTyuFwaNOmTUENCAAAQqeq76eZ17txiFIBQA0Gmb/85S96/PHHVb9+fbVt21ZNmjQx\nmQsAAISBA8e8la4f9LMOAFap0SDTvXt3LVmyhAcIAQCoI85vEFHpenM/6wBglXqBvvD48eP6zW9+\nwxADAEAdkpHqVLKz/NDC99MACAcBfyJz1VVXafv27SazAACAMMP30wAIVwF/IjNt2jR9/PHHevbZ\nZ5Wfn28yEwAACCOl30+zpFcDzevdOKhDTK67RHevP6J7vozS3euPKNddErTaAM5uAX8i06JFC91+\n++164okn9NRTTykyMlL16pWfgxwOh/bv3x/0kAAA4OxTfmvnCH1WxNbOAAIX8CDz1FNP6dlnn1WL\nFi3UtWtXxcTEmMwFAADOcmztDOBMBDzI/O1vf1NaWpoWLVpU4ZMYu3G5XDV+j8fjMZDklNrkCYTJ\nzKZq2zGzRA+tqGu6tt16aNfzTA/N1zVZO9h19xQVV7q+t6g4qP20y/mworbJzBLXoRW17djD2mau\nbpOxgAeZkpIS9e3b1/ZDjFT9SQn2+6qSl5dndCc4O9a2W2Z6aF1dU7Xt2kM7ZjZVmx5aVzuYdRNj\nvNp0uOJfcFrGRAU9vx3Oh1W1TdXlOrSuth17aKJuwFNJv3799PHHHwc9AAAAqJvY2hnAmQh4kHno\noYe0c+dOjRs3Tlu3btXBgweVn59f4Q8AAEAgSrd2HtomWt1ivRraJpoH/QEELOBby7p37y5J2r59\nu1555RW/rzty5MiZpwIAAHVC6dbO2dkFSklpFeo4AGwk4EHm4YcflsPhMJkFAAAAAAIS8CCTnp5u\nMgcAAAAABMz+W5ABAAAAqHMC/kRm6tSp1b7G4XDo4YcfPqNAAAAAAFCdgAeZKVOm+D3mcDjk8/kY\nZAAAAABYIuBB5ocffqiwdvLkSe3evVvz58/XJ598omXLlgU1HAAAAABU5oyekalXr55at26tzMxM\nXXjhhXwaAwAAwkauu0R3rz+iWz48prvXH1GuuyTUkQAEUdAe9u/Ro4fefffdYJUDAACotVx3iQat\nLtDSXR5tOnxSS3d5NGh1AcMMcBYJ2iDz+eefq149NkEDAAChl5nlVo7bW24tx+1VZpY7RIkABFvA\nz8i89tprla67XC598sknWrVqle64446gBTPJ5XLV+D0ej8dAklNqkycQJjObqm3HzBI9tKKu6dp2\n66FdzzM9NF/XZG2TmaXg9nBPUXGl63uLioP2e+hhRVyH5mvbsYe1zRwbG1vl8YAHmXvvvdfvsfj4\neN1///22eUamupMS7PdVJS8vz0jdUnasbbfM9NC6uqZq27WHdsxsqjY9tK62qbrB7mFijFebDlf8\ny1PLmKig/h56+F9ch9bVtmMPTdQNeJD597//XWHN4XAoLi5OTqczqKEAAADOREaqU1vzT5S7vSzZ\nGaGMVP7OApwtAh5kWrVqZTIHAABA0CQ5I7UiLV6ZWW7tLSpWy5goZaQ6leSMDHU0AEES8CADAABg\nJ0nOSM3r3Vgulyuot7XkukuUmeXWnqJiJcZ4GZCAEKlykOnSpUuNijkcDn3xxRdnFAgAACBclW7r\nXHrL2qbDHm3NP6EVafEMM4DFqhxk2rdvH1CRPXv2aMeOHXI4HEEJBQAAEI6q2tZ5Xu/GIUoF1E1V\nDjJ///vfq3zznj17NH36dK1bt05RUVEaPnx4UMMBAACEkwPHvJWuH/SzDsCcWj0js3fvXs2YMUOL\nFy+WJI0YMUL333+/WrRoEdRwAAAA4eT8BhGVrjf3sw7AnHo1efG+ffv0wAMPqFu3blq8eLGGDx+u\nzz//XNOmTbNkiHnmmWcUFxenCRMmlK35fD5NnjxZ7du3V/PmzdW/f3/t2LHDeBYAAFD3ZKQ6lews\nP7SwrTMQGgF9IrNv3z7NmDFDixYtkiT99re/1QMPPKALLrjAaLjTbdmyRX/729/UqVOncuszZ87U\nrFmzNGvWLKWkpOjpp5/W4MGDtWXLFr7fBgAABBXbOgPho8pBZt++fXrmmWe0aNEi+Xy+kAwwkuRy\nuXT33Xfrr3/9q6ZOnVq27vP5NHv2bI0fP14DBw6UJM2ePVspKSlatmyZRo4caWlOAABw9jO1rTOA\nmqlykElNTVVJSYk6d+6sBx54QC1bttTBgwd18OBBv+/p1q1b0EOWDiq9evUqN8jk5ubq0KFD6tOn\nT9ladHS0evTooc2bNzPIAAAAAGepKgeZEydOSJK+/PLLaocCn88nh8OhI0eOBC+dpIULF2rXrl2a\nO3duhWOHDh2SJDVt2rTcetOmTXXgwIGg5gAAAAAQPhyFhYU+fwdLdyWridtuu+2MAp0uOztb/fr1\n07/+9S+lpKRIkvr376+OHTtq2rRp2rx5s9LS0rRt2zYlJiaWvW/s2LE6cOCAli9f7rcuAAAAgPBV\n+vd/f6r8RCaYQ0ltfPrppyooKNDll19etub1evXJJ59owYIF2rRpkyQpPz+/3CCTn5+vZs2a+a1b\n3UmpjKn7YLOzs2uVJxAm7901VduOmemhNXVN1rZjD+14nk3WpofW1DaZmR5aU5seWlPXZG079tBU\n5lp9j4xV+vfvr0suuaTc2tixY3XhhRfqgQceUNu2bZWQkKB169YpNTVVknT8+HFt3LhRkyZNCkVk\nAAAAABYI60EmLi5OcXFx5dYaNGig8847Tx07dpQkjRkzRs8884xSUlLUtm1bTZ8+XQ0bNtSQIUNC\nERkAAACABcJ6kAnEuHHj5PF4NGHCBBUWFqpbt25avnw53yEDAAAAnMVsN8j885//LPezw+FQenq6\n0tPTQ5QIAAAAgNXqhToAAAAAANQUgwwAAAAA22GQAQAAAGA7DDIAAAAAbIdBBgAAAIDt2G7XMgAA\ngLNVrrtEmVlu7SkqVmKMVxmpTiU5I0MdCwhLDDIAAABhINddokGrC5Tj9kqSNh32aGv+Ca1Ii2eY\nASrBrWUAAABhIDPLXTbElMpxe5WZ5Q5RIiC81clPZFwuV43f4/F4DCQ5pTZ5AmEys6nadsws0UMr\n6pqubbce2vU800PzdU3WNplZood7ioorXd9bVBy0c0MPralrsrYde1jbzLGxsVUer5ODTHUnJdjv\nq0peXp6RuqXsWNtumemhdXVN1bZrD+2Y2VRtemhdbVN16aGUGOPVpsMV/8LXMiYqqL+HHlpT12Rt\nO/bQRF1uLQMAAAgDGalOJTsjyq0lOyOUkeoMUSIgvNXJT2QAAADCTZIzUivS4pWZ5dbeomK1jIli\n1zKgCgwyAAAAYSLJGal5vRvL5XIZveUJOBtwaxkAAAAA22GQAQAAAGA7DDIAAAAAbIdBBgAAAIDt\nMMgAAAAAsB0GGQAAAAC2w/bLAAAAZ7lcd4kys9zaU1SsxBgv30+DswKDDAAAwFks112iQasLlOP2\nSpI2HfZoa/4JrUiLZ5iBrXFrGQAAwFksM8tdNsSUynF7lZnlDlEiIDjq5CcyLperxu/xeDwGkpxS\nmzyBMJnZVG07ZpbooRV1Tde2Ww/tep7pofm6JmubzCzRQ1O19xQVV7q+t6g46OecHpqvbcfrsLaZ\nY2NjqzxeJweZ6k5KsN9Xlby8PCN1S9mxtt0y00Pr6pqqbdce2jGzqdr00LrapurSQ3O1E2O82nS4\n4l8kW8ZEBTU/PbSuth2vQxN1ubUMAADgLJaR6lSyM6LcWrIzQhmpzhAlAoKjTn4iAwAAUFckOSO1\nIi1emVlu7S0qVsuYKHYtw1mBQQYAAOAsl+SM1LzejeVyuYzeSgVYiVvLAAAAANgOgwwAAAAA22GQ\nAQAAAGA7DDIAAAAAbIdBBgAAAIDtMMgAAAAAsB0GGQAAAAC2wyADAAAAwHYYZAAAAADYzjmhDhAK\nLperxu/xeDwGkpxSmzyBMJnZVG07ZpbooRV1Tde2Ww/tep7pofm6JmubzCzRQytq00Nr6pqsbcce\n1jZzbGxslcfr5CBT3UkJ9vuqkpeXZ6RuKTvWtltmemhdXVO17dpDO2Y2VZseWlfbVF16aF1temhN\nXZO17dhDE3W5tQwAAACA7TDIAAAAALCdOnlrGQAAAIIj112izCy3dh2OUpv9R5SR6lSSMzLUsVAH\nMMgAAACgVnLdJRq0ukA5bq+kCH1W5NHW/BNakRbPMAPjuLUMAAAAtZKZ5f7/Q8x/5bi9ysxyhygR\n6hIGGQAAANTKgWPeStcP+lkHgolBBgAAALVyfoOISteb+1kHgolBBgAAALWSkepUsrP80JLsjFBG\nqjNEiVCXMMgAAACgVpKckVqRFq+hbaLVLdaroW2iedAflmHXMgAAANRakjNS83o3VnZ2gVJSWgW1\ndunWznuKipUY42VrZ5TDIAMAAICwU35rZ2nTYbZ2RnncWgYAAICww9bOqE6d/ETG5XLV+D0ej8dA\nklNqkycQJjObqm3HzBI9tKKu6dp266FdzzM9NF/XZG2TmSV6aEVtO/VwT1Fxpet7i4qD9nvoYUUm\nrsPaZo6Nja3yeJ0cZKo7KcF+X1Xy8vKM1C1lx9p2y0wPratrqrZde2jHzKZq00PrapuqSw+tq22X\nHibGeLXpcMW/ALeMiQrq76GH/2XyOjRRl1vLAAAAEHbY2hnVqZOfyAAAACC8lW7tnJnl1t6iYrWM\niWLXMpTDIAMAAICwVLq1s8vlMnoLGOyJW8sAAAAA2A6DDAAAAADbYZABAAAAYDsMMgAAAABsh0EG\nAAAAgO2E9SAzb9489ejRQ4mJiUpMTNR1112n1atXlx33+XyaPHmy2rdvr+bNm6t///7asWNHCBMD\nAAAAsEJYDzItWrTQk08+qfXr12vdunXq1auXbr/9dm3fvl2SNHPmTM2aNUtTp07V2rVr1bRpUw0e\nPFhutzvEyQEAABCuct0lunv9Ed3y4THdvf6Ict0loY6EWgjrQaZ///667rrr1KZNG7Vt21Z//OMf\n1ahRI23ZskU+n0+zZ8/W+PHjNXDgQHXs2FGzZ8/W0aNHtWzZslBHBwAAQBjKdZdo0OoCLd3l0abD\nJ7V0l0eDVhcwzNhQWA8yp/N6vXrjjTf0448/6pe//KVyc3N16NAh9enTp+w10dHR6tGjhzZv3hzC\npAAAAAhXmVlu5bi95dZy3F5lZnFHj904CgsLfaEOUZWvvvpKffv21fHjx9WwYUPNmzdPaWlp2rx5\ns9LS0rRt2zYlJiaWvX7s2LE6cOCAli9f7rdmdna2FdEBAAAQZu75MkqfFUVUWO8W69ULnYtDkAj+\npKSkVHn8HIty1FpKSoo2bNigoqIirVy5UmPGjNE//vGPM65ZUy6XS7GxsWf0eyuTnZ1dqzyBMJXZ\nZG07ZqaH1tQ1WduOPbTjeTZZmx5aU9tkZnpoTW16KLXZf0SfFXkqrsc3UkpKq6D8Dokens5U5rC/\ntezcc89VmzZt1LVrVz3++OPq3Lmznn/+eSUkJEiS8vPzy70+Pz9fzZo1C0VUAAAAhLmMVKeSneU/\nkUl2Rigj1RmiRKitsB9kfu7kyZM6ceKEkpKSlJCQoHXr1pUdO378uDZu3Kju3buHMCEAAADCVZIz\nUivS4jW0TbSuaFJPQ9tEa0VavJKckaGOhhoK61vLnnjiCfXt21cXXHBB2W5kH330kV5//XU5HA6N\nGTNGzzzzjFJSUtS2bVtNnz5dDRs21JAhQ0IdHQAAAGEqyRmpeb0bG71NC+aF9SBz6NAhjR49Wnl5\neYqJiVGnTp20bNkyXXvttZKkcePGyePxaMKECSosLFS3bt20fPlyOZ18NAgAAACczcJ6kJk9e3aV\nxx0Oh9LT05Wenm5RIgAAAADhwHbPyAAAAAAAgwwAAAAA22GQAQAAAGA7DDIAAAAAbIdBBgAAAIDt\nMMgAAAAAsB0GGQAAAAC2E9bfI2OKy+Wq8Xs8Ho+BJKfUJk8gTGY2VduOmSV6aEVd07Xt1kO7nmd6\naL6uydomM0v00Ira9NCauiZr27GHtc0cGxtb5fE6OchUd1KC/b6q5OXlGalbyo617ZaZHlpX11Rt\nu/bQjplN1aaH1tU2VZceWlebHlpT12RtO/bQRF1uLQMAAABgOwwyAAAAAGynTt5aBgAAAJiQ6y5R\nZpZbe4qKlRjjVUaqU0nOyFDHOisxyAAAAABBkOsu0aDVBcpxeyVJmw57tDX/hFakxTPMGMCtZQAA\nAEAQZGa5y4aYUjlurzKz3CFKdHZjkAEAAACC4MAxb6XrB/2s48wwyAAAAABBcH6DiErXm/tZx5lh\nkAEAAACCICPVqWRn+aEl2RmhjFRniBKd3XjYHwAAAAiCJGekVqTFKzPLrb1FxWoZE8WuZQYxyAAA\nAABBkuSM1LzejeVyuYx8mz3+i1vLAAAAANgOgwwAAAAA22GQAQAAAGA7dfIZGZfLVeP3eDweA0lO\nqU2eQJjMbKq2HTNL9NCKuqZr262Hdj3P9NB8XZO1TWaW6KEVtemhNXVN1rZjD2ububpnjOrkIFPb\nB69MPLCVl5dn9EEwO9a2W2Z6aF1dU7Xt2kM7ZjZVmx5aV9tUXXpoXW16aE1dk7Xt2EMTdbm1DAAA\nAIDtMMgAAAAAsJ06eWsZAAAAYCe57hJlZrm1p6hYiTHeoH7RZmntXYej1Gb/Edt8iSeDDAAAABDG\nct0lGrS6QDluryRp02GPtuaf0Iq0+DMeOMrXjtBnRcGrbRq3lgEAAABhLDPLXTbElMpxe5WZ5Q7r\n2qYxyAAAAABh7MAxb6XrB/2sh0tt0xhkAAAAgDB2foOISteb+1kPl9qmMcgAAAAAYSwj1alkZ/nB\nItkZoYxUZ1jXNo2H/QEAAIAwluSM1Iq0eGVmubW3qFgtY6KCtrPY6bV3FRxVm/hG7FoGAAAAIDiS\nnJGa17uxXC6XYmNjjdTOzi5QSkqroNY2iVvLAAAAANgOgwwAAAAA26mTt5a5XK4av8c/6Ak0AAAS\nyUlEQVTj8RhIckpt8gTCZGZTte2YWaKHVtQ1XdtuPbTreaaH5uuarG0ys0QPrahND62pa7K2HXtY\n28zV3UJXJweZ2t5XGOz7ESUpLy/PSN1Sdqxtt8z00Lq6pmrbtYd2zGyqNj20rrapuvTQutr00Jq6\nJmvbsYcm6nJrGQAAAADbYZABAAAAYDsMMgAAAABsh0EGAAAAgO0wyAAAAACwHQYZAAAAALbDIAMA\nAADAdhhkAAAAANgOgwwAAAAA22GQAQAAAGA7DDIAAAAAbIdBBgAAAIDtnBPqAKHgcrlq/B6Px2Mg\nySm1yRMIk5lN1bZjZokeWlHXdG279dCu55kemq9rsrbJzBI9tKI2PbSmrsnaduxhbTPHxsZWebxO\nDjLVnZRgv68qeXl5RuqWsmNtu2Wmh9bVNVXbrj20Y2ZTtemhdbVN1aWH1tWmh9bUNVnbjj00UZdb\nywAAAADYDoMMAAAAANthkAEAAABgO47CwkJfqEMAAAAAQE3wiQwAAAAA22GQAQAAAGA7DDIAAAAA\nbIdBBgAAAIDtMMgAAAAAsB0GGQt07txZcXFxFf785je/kST5fD5NnjxZ7du3V/PmzdW/f3/t2LEj\nxKlxuup6OGbMmArHfvWrX4U4NUp5vV5lZmbq4osvVkJCgi6++GJlZmbqp59+KnsN12F4C6SHXIfh\nz+12a+LEifrFL36h5s2bq2/fvsrKyio7znUY/qrrIddhePn444916623qkOHDoqLi9OiRYvKHQ/k\nmisuLtaECRPUpk0btWjRQrfeeqv27dtn5b+GXwwyFli3bp127txZ9mf9+vVyOBwaNGiQJGnmzJma\nNWuWpk6dqrVr16pp06YaPHiw3G53iJOjVHU9lKSrr7663GuWLl0awsQ43XPPPaf58+dr6tSp+vTT\nTzVlyhTNnz9fzzzzTNlruA7DWyA9lLgOw919992ntWvXavbs2frkk090zTXXaNCgQdq/f78krkM7\nqK6HEtdhOPnxxx/VsWNHTZkyRdHR0RWOB3LNpaena9WqVXrxxRf19ttvy+1265ZbbpHX67XyX6VS\nDDIWaNKkiRISEsr+rFmzRk6nU4MHD5bP59Ps2bM1fvx4DRw4UB07dtTs2bN19OhRLVu2LNTR8f9V\n1cNSUVFR5V5z3nnnhTAxTvfpp5+qX79++vWvf62kpCRdf/316tevnz777DNJ4jq0gep6WIrrMHx5\nPB699dZbevzxx3XVVVepTZs2Sk9PV3JyshYsWMB1aAPV9bAU12H46Nu3rx577DENHDhQ9eqV/2t/\nINecy+XSK6+8okmTJumaa65R165dNWfOHH311Vf64IMPQvBvVB6DjMV8Pp9eeeUV3XLLLYqOjlZu\nbq4OHTqkPn36lL0mOjpaPXr00ObNm0OYFP78vIelNm7cqLZt26pbt2667777lJ+fH8KUON3ll1+u\njz76SN9++60k6ZtvvtGGDRt03XXXSRLXoQ1U18NSXIfh66effpLX61X9+vXLrUdHR2vjxo1chzZQ\nXQ9LcR3aQyDX3BdffKGSkpJyr2nZsqUuuuiisLguzwl1gLpm3bp1ys3N1R133CFJOnTokCSpadOm\n5V7XtGlTHThwwPJ8qN7PeyhJv/rVr3TjjTcqKSlJu3fvVmZmpgYMGKAPPvhAUVFRIUwLSRo/fryO\nHj2q7t27KyIiQj/99JMeeughjRo1ShLXoR1U10OJ6zDcOZ1O/fKXv9T06dPVoUMHJSQkaNmyZfr0\n00/Vpk0brkMbqK6HEtehnQRyzeXl5SkiIkLx8fEVXpOXl2dN0CowyFhs4cKFSk1NVefOnUMdBbVU\nWQ9vvvnmsn/u1KmTunbtqs6dO2v16tUaMGBAKGLiNMuXL9eSJUs0f/58tW/fXtu2bdPEiRPVqlWr\ncgMpwlcgPeQ6DH9z5szR2LFj1bFjR0VERKhLly4aMmSIvvjii1BHQ4Cq6yHXIazErWUWys/P19tv\nv60RI0aUrSUkJJQd+/lrmzVrZmk+VK+yHlbm/PPPV4sWLbRr1y6LkqEqjz32mH7/+9/r5ptvVqdO\nnXTrrbdq7NixevbZZyVxHdpBdT2sDNdh+ElOTtbbb7+tffv26auvvtLatWtVUlKi1q1bcx3aRFU9\nrAzXYfgK5Jpr1qyZvF6vCgoK/L4mlBhkLLR48WJFRUWV+38rkpKSlJCQoHXr1pWtHT9+XBs3blT3\n7t1DERNVqKyHlTl8+LAOHDhQ9l8SCK1jx44pIiKi3FpERIROnjwpievQDqrrYWW4DsNXw4YN1bx5\ncxUWFur999/X9ddfz3VoM5X1sDJch+ErkGuua9euioyMLPeaffv2aefOnWFxXUZMnDjxiVCHqAt8\nPp/Gjh2rtLQ0DRw4sGzd4XDI6/Xqueee04UXXiiv16v//d//1aFDh/Tcc89xP2kY8dfDo0ePatKk\nSWrUqJF++uknbdu2Tffdd5+8Xq+mTZtGD8PAzp079fe//11t27ZVZGSkNmzYoKeeeko33XSTrr32\nWq5DG6iuh1yH9vD+++/r+++/V0REhD7//HPdfffdSkhI0NSpUxUREcF1aANV9dDj8XAdhpmjR4/q\nm2++0aFDh/TKK6+oY8eOiomJ0YkTJxQbG1vtNVe/fn0dPHhQ8+fPV6dOneRyuXT//fcrJiZGTz75\nZIWd0KzGMzIW2bBhg77//nvNnTu3wrFx48bJ4/FowoQJKiwsVLdu3bR8+XI5nc4QJIU//noYERGh\nr7/+WkuWLJHL5VJCQoKuuuoqvfTSS/QwTDz99NP605/+pAcffFCHDx9WQkKCRowYoYcffrjsNVyH\n4a26HnId2kNRUZGefPJJ7d+/X+edd54GDBigjIwMRUZGSuI6tIOqevjTTz9xHYaZzz//XDfeeGPZ\nz5MnT9bkyZM1bNgwzZ49O6BrbvLkyYqIiNDIkSN1/Phx9erVSy+88EKFT8lDwVFYWOgLdQgAAAAA\nqAmekQEAAABgOwwyAAAAAGyHQQYAAACA7TDIAAAAALAdBhkAAAAAtsMgAwAAAMB2GGQAAOX0799f\n/fv3r/Z1ubm5iouL06JFiyxI5V9cXJwmT54c0gwAAOsxyADAWW7RokWKi4sr+xMfH68OHTpozJgx\n2r9/f6jjldO5c+eynOedd55atWqlHj16aNy4cdq6dWvQfs+7777L8AMANndOqAMAAKwxceJEJScn\nq7i4WFu2bNHixYu1adMmbdy4UfXr1y973ZtvvhnClFKnTp103333SZKOHj2qnTt3auXKlVq4cKHu\nvfde/fnPfy73+oMHD+qcc2r2P2dr1qzRvHnzlJ6eHrTcAABrMcgAQB1x7bXX6rLLLpMk3XHHHYqP\nj9dzzz2nd955R4MHDy573bnnnhuqiJKk5s2b65Zbbim39uSTT2rUqFF6/vnndeGFF+quu+4qO3b6\nEAYAqDu4tQwA6qgrrrhCkpSTk1NuvbJnZAoLCzVmzBi1atVKrVq10j333COXy1Vp3e+++06/+93v\nlJycrISEBF111VVauXLlGWWNjo7WnDlzdN5552nGjBny+Xxlx37+jMxPP/2kadOmqVu3bmrevLla\nt26ta6+9Vm+99ZYkacyYMZo3b17Ze0v/5ObmSjp1K97AgQPVrl07NWvWTKmpqXrmmWd08uTJCufp\nsssu0zfffKMbb7xR559/vjp06KCZM2dWyH/ixAlNmzZNl112mZo1a6aUlBQNGzZMO3bsKHuNz+fT\nnDlz1KNHDyUkJKht27b6/e9/r4KCgjM6dwBwtuITGQCoo3bv3i3p1F/mq+Lz+XTbbbdp06ZNGjly\npC666CK9/fbbGjNmTIXX7ty5U3379lVCQoLGjRunhg0b6h//+IdGjBihOXPmVPikpSYaNWqkG264\nQa+88oq++eYbdejQodLXTZkyRTNmzNDw4cPVrVs3/fjjj/ryyy+VlZWlAQMGaOTIkTp48KDWrVun\nOXPmlL2vSZMmkqT58+erXbt2uu6661S/fn2tX79ekyZNUlFRkZ74f+3cbUhTexwH8K9uaKaGWRGi\nRT6l2ANlQ8pVhM+S1UYZG5JabZkhaEVgBU1HlBb1wjeGL5KycpYRiiYRbJFRSJYKSQ/kA0WS2Noy\nH6bQvC9i597dOfPahcvuvh/wxTnnd875n/NGv/7P719SYnev4eFh7NmzBxkZGZDJZGhoaIBGo0FM\nTAySk5MBAFarFQqFAnq9HjKZDIcOHcLY2BhaW1vR2dkpPMexY8dQU1MDpVIJtVqNT58+oaqqCi9f\nvoRer+fMExHR3zDIEBG5ieHhYRiNRlgsFrS3t6O8vBze3t5ITU2d8bz79+/j6dOnKC0tRWFhIQDg\n4MGD2LVrl0NtcXExgoKCYDAY4OPjAwBQq9WQy+UoLS3F3r174eHhMednsP3R39fX5zTIPHjwACkp\nKaioqJj2eFxcHCIiImAwGKYNVs3NzZg/f76wrVKpUFhYKPTUeHt7C8cGBwdRWVkJpVIJANi3bx/W\nrFmDmpoaIcjU1tZCr9dDq9UKvT8AUFhYKMwstbW1obq62u5awM/PAdPT06HT6ZCbmzubV0RE5Db4\naRkRkZvYvXs3wsPDsWrVKuTk5MDX1xe1tbUIDg6e8byHDx/C09MTBw4cEPaJRCKo1Wq7OpPJhEeP\nHkEmk2FsbAxGo1H4SUxMxMDAAN6/f/9bz+Dn5wfg5yIAzixYsACvX7+e871sIebHjx8wm80wGo2Q\nSqUYHR3Fu3fv7Gp9fHzswpCXlxdiY2PR398v7GtsbERAQAAOHz7scC9bqLt37x78/PyQlJRk995s\nn7e1trbO6VmIiP7POCNDROQmysvLERUVhW/fvuHWrVsOq5U58/HjRyxduhT+/v52+8PDw+22e3t7\nM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"text/plain": [ - "{70: -22,\n", - " 71: -17,\n", - " 72: -12,\n", - " 73: -5,\n", - " 74: -1,\n", - " 75: 2,\n", - " 76: 4,\n", - " 77: 6,\n", - " 78: 9,\n", - " 79: 11,\n", - " 80: 13,\n", - " 81: 17,\n", - " 82: 26,\n", - " 83: 28,\n", - " 84: 33,\n", - " 85: 35,\n", - " 86: 37,\n", - " 87: 40,\n", - " 88: 42,\n", - " 89: 44,\n", - " 90: 46}" + "" ] }, - "execution_count": 8, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ - "def kms(ride): return ride.miles * 1.60934\n", - "\n", - "{m: m - sum(kms(r) > m for r in rides)\n", - " for m in range(70, 91)}" + "edplot([m * 1.60934 for m in mls], range(70, 101))" ] }, {