diff --git a/Sierpinski.ipynb b/Sierpinski.ipynb index 9aba573..4522393 100644 --- a/Sierpinski.ipynb +++ b/Sierpinski.ipynb @@ -4,9 +4,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# John D. Cook's chaos game\n", + "# A Chaos Game with Triangles\n", "\n", - "John D. Cook [proposed](https://www.johndcook.com/blog/2017/07/08/the-chaos-game-and-the-sierpinski-triangle/) an interesting \"game\": start at a vertex of an equilateral triangle. Then move to a new point halfway between the current point and one of the three vertexes, chosen at random. Repeat to create *N* points, and plot them. What do you get? \n", + "John D. Cook [proposed](https://www.johndcook.com/blog/2017/07/08/the-chaos-game-and-the-sierpinski-triangle/) an interesting \"game\" from the book *[Chaos and Fractals](https://smile.amazon.com/Chaos-Fractals-New-Frontiers-Science/dp/0387202293)*: start at a vertex of an equilateral triangle. Then move to a new point halfway between the current point and one of the three vertexes, chosen at random. Repeat to create *N* points, and plot them. What do you get? \n", "\n", "I'll refactor Cook's code a bit and then we'll see:" ] @@ -22,7 +22,7 @@ "\n", "triangle = ((0, 0), (0.5, (3**0.5)/2), (1, 0))\n", "\n", - "def random_points(vertexes=triangle, N=4000):\n", + "def random_points(vertexes, N=4000):\n", " \"Create N points by repeatedly moving halfway towards a random vertex.\"\n", " points = [random.choice(vertexes)]\n", " for i in range(N-1):\n", @@ -38,6 +38,7 @@ " X, Y = transpose(points)\n", " plt.scatter(X, Y, marker='.', color='r')\n", " plt.gca().set_aspect('equal')\n", + " plt.gcf().set_size_inches(9, 9)\n", " plt.axis('off')\n", " plt.show()" ] @@ -49,9 +50,9 @@ "outputs": [ { "data": { - "image/png": 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iHsa5I1HbJr/DrTgX56tbd0jhR0Ux1xYLG8Cjpaer/f9z1Kf2dmtmSdh+H8ei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\nLv0oAAAAAElFTkSuQmCC\n"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yU4WQPTeMJc8+hy3I91Xjeaq27VYkfPb3gV9jIZlmgy4cO3+NV+AcJj9P2ja/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MAAAC\nz0lEQVSx6QwQQgghhHiooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQ\nQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBC\nCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEII\nIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQggh\npDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGk\nO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7\nqKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuo\noBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6ig\nEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQ\nQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBC\nCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEII\nIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO6igEEIIIaQ7qKAQQggh\npDuooBBCCCGkO6igEEIIIaQ7qKAQQgghpDuooBBCCCGkO/4/DpJXv2dLJOQAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -59,16 +60,14 @@ } ], "source": [ - "show(random_points())" + "show(random_points(triangle))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Wow! The [Sierpinski Triangle](https://en.wikipedia.org/wiki/Sierpinski_triangle) (more or less). \n", - "\n", - "What happens if we start with a different set of vertexes, like a square:" + "Wow! The [Sierpinski Triangle](https://en.wikipedia.org/wiki/Sierpinski_triangle)! Let's try with more points:" ] }, { @@ -78,9 +77,36 @@ "outputs": [ { "data": { - "image/png": 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NdusuY7P5S7xvE+6g6/M7+CK/K+AcMex+p1ZX5sq272/u8T+RZ+/AIrgd3Dxb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\ng79ja1JB4tOR8aMV4fh/Xl38vu0oFsq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xe5BaxTBwL/VjTouyRcAL8Q38qyX6/N/bHNcR0jxJsxoYi8fxkRJ9zqJ+G1GI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\nYp7///buJkiP467j+O95VrJiR8SxLXtfZCckFSeO3m3HCUl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"text/plain": [ - "" + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show(random_points(triangle, 20000))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "What happens if we start with a different set of vertexes, like a square?" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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LHsjev1jx8Dm3o+SIun1pGxvHQXJg+EP3rFErkpaIHidcG/BpD9sOIjsXZDYS\nl3ccabph9XlfWmcSd+DocV7/3ud4j2Tpul7cLip+vI2BzDjX0DFr6zup7an0I5aeS7lUtiuQcjOx\nRdJytKhHVlw0PLNDiN/RgX7P6iDNpAi8CAxvFI9oX3rnPNSOphPGlBPnaMntbR0Ts07KaFgPQ2Yn\nkeJjHXfg6DTR8fuX7jP8agkaNTnSpvYDBB+f9QTsfq5hxNoooR1sLOBKuVS2K5DyC4g1ktcNZPwp\nrJbvRUZzj+fxZ6d4HRgefq8j/udy8nFqQyNFvNHXEbwtjxQWei4Gh/hY0D0b+VkeH0d7vhbeWdQO\ngLOMdcyBo9NE5+/b+sfNHz8H5WV4Js1luoYDInNQrnGUUlTZrkDKjQWHqW1OwPoUBJqeoR2HiGgO\nJQZq+uJRKxfxHw5Hm6qgn3kYkvYZ/vGDpS9wpxLtV98OM/p9/1Genv4qp7HnHLt16TbZ0T/6uD57\nZuSK+JDRtVt/V68DkbqmbJHtCqRMyMqJhKUB6s9pUhm9MK3byYP+PiLNgbXd/NXzSNQ6RvyHYaod\njlMH3WCU4r3z5tStv1iR729ve/Pja/5cl5NwWz9nRAIkfWKcXe6kV8oZOf6/dgjX7aCaEQytuaPe\n6cBcJNsVSHHK6smr59XnSGXWST7rUNAOVVwaR267dlfJqgVOTuUc/SQhFPYtylgblHLuCplDR/Q+\nPRyDd+VEPj47n08jMa2T+1w0pxdHfrQ0ybGj6HgHRY7t5+TB+1kz1mPGbDwXba2+93OaflHZrkCK\nU1ZPXj260UllfqNjg8q9JEueNzB3385Dn/ZWXxS5me83ClWpDZXG3Ri31Pr6EXd2vG3SnttTqt/X\n57K8FuqcFrwtX6vnUNySnvPjm5M2xLKucyltgHB858/SOsY2FOcOKMEVxFkrIfyOTtMvLNsVSHGK\nlczGGR/++e/K09OnwqUD2neMekgEOPl59CJN1fd8jpVk+crq8dCzPsL/HdM+tsjPoqt/TFBt/qEg\nztaYltLPuMD0sXJG8DYZHZTj9/25LPqZOGh70DrX/dw7LagzRJGeOTTscEgociw3zixzH+vzK5yY\nnWls7jtJor1MtiuQMiG4oT8iSGzhbI30V3ASawskF83VTohGBpQ4JPqigVyI9zBmpZIvw/f0aJfi\nDNT/bi8+lPrSNh769nsx9DmVknlLPDM+YvREyiOC0Z55Mzqz1udrKU76XiEvijLqOM7X9nM+cOD1\n8zpLHHkdt+87AAAgAElEQVR1reOKfHfmWVg9pWAjnZPFsl2BlGB5TB4pgizsZDyf0RtpbMHlnYae\nKMqlaijDQjsVnggRR1rk49LxBfxwpnqjRS14vsV+fF+NEln6nL5hdjXMTjmf2Pfl/qcRRAvnCUEo\nx1NmZ3g8dN36cWKpQ5SzRNXdjkqdv8XGui3tZX8WMravSDOlsLJdgZRAaSchFVHyp5WOz6kXH2yC\nSkYDRTtGlITejeGLitHtrO/KeSw3paPnTI667XsnTEOOLOmZz+U8/wTr89ZJGI+JXxUx2g1Mvxtl\nRKLi9bOlIs/xU3NXbCkS63ydHe/+uvMnNfPPxB0bHcXCHbCZOZaIyTbZrkBKoIyTsD+xEctDa/lw\n/nfagVUyB0XWo5Q+IvWRNy1Gf/7WXbpP9K2oNuMtLb5yv0lcoZ3jldeR2rGyJvXka28KAaE4LBLf\nqv7Md9DczBzx9pmEWnkcG309sQRd9tvOU7bLdgVSAiUKjtQ5FLwRi5z0I7H1usWEMyA0sRbhAtQL\nM2ewpPy4ZLx7orIlL79vVwLdNhQiQRFERyRqj96cQymfwyK1u6VP7KmxuXbi1hie91ajevp4RvX2\njFuZw5bbhW8o2xVICZYoVKGdzBT5sk0nrK0PdtBUrHPEkeN6RwDdCdDzgF7FtkOMN53asS28j+/L\nh4+tamO6bShjTh8H70HlYsek5FA+i+3K1Yn+DEW/8MsM5+vfrxeUQ93PnziHcjYY2+mYp8CyXYGU\nzYIZ2B7JoKLZdREITkqNXISpKJlyWrCFbiSh6m33qNOncqY1vv/492HInrvPnmF9xjbTUwl2zgjm\nPGBkRQmlWm+ApXfRKJZc75Zk2zuZ2lZ8LnCg03krjXGrT19/vD2i+0nvx7kxl3KJbFcgZbPgBpZa\niK659XN0kJCzR1C+jWZENK6IZaGrSahY2z1+1x9GVp9oWjsotl03VsOFkhJHI25Dv6yGAU2HYc/S\nCLDUOBsdjPG5/X05x2/qHW6808ohiUg7x5BlOZS1fm6b+p018DO/x5FNesxlCugWsl2BlM3iWbzO\nxXLtLor2nfIZJmM9EKM4PtMTldki7mMRR52Io15/l9ZRoW7XtRkGmzODkxJHI25xgvjblHlUAeOy\nYONM4oZQSAmC7vXnCn3ofiM7rW0/t985ddJ2vHhTv3y7RjqG43t5xw+piyVgoVGxTAHdQLYrkHID\nsZEqsQUxXkc0zYMu1s9lJDLGX6rG6YItsn30Sp1TMhulYsf621JHlm3lPbJA36asIxs6lwVrD5QE\n+uGfdtcRtP5coY+MQaSf07b9IW1QYHc2EQeWem/dJ3GOYatb74zVyBJ2bYElYKFTt9iORG89UyDZ\nrkBKgFw1YWRI2Z4Htr3bljOWF5d+ASxl1aVqmt4y16A3YnWKSDZCvv6UOCU2pA1J2cjIQil1Og9z\nUKN2sSEk0Bp5k7dmP/Sq68lds4AgRHxqEGtzilhtJWr3Os87hnQ7fy8tcvhv4l3IUQBawCI5pVpa\nK1M/C2W7AimTcuWEsfI8InQbF12OCCjnw+k6HJHZcTcPvlDN1aH+f7p9ZpAXf39q6ReduGl7f48s\nfCqn4e/PvLHsbInjQdDvr4niaLvJ8wBPLaJtgIwrlKgtI3VRjiH9LIp8XPcDgqa8LVo62ocq6Wtg\nypRsVyBlUq5Mtdij6LnJTDsdNoOu16FNb6wky9FpAlpnPzfI0r7zhmWmfR6/Pa4VqO98oncUIQhB\nlG70s7iTkefSYzYky8O/4MaVjeSuc62iHGfZyWy5Y3odItdID9ctxS3bFUiZlFkjYzdqFr7K3GSm\nSXjzBp0m4XHRl4X7YjVUr0Uindq5QfbF0mr0Pe2j6/ul2I4tx+pq481YiM46mVqeB30/++7M8b8P\nR2Nmx5d1DNrH3CHfhHEQu6V4Fw/vN5TtCqQEiB9iX58empnM1MLi4XNQn/kRFym1JJ8l0j6rv0Bx\n1ijNLZZyWgCF9/HL8WhiIt3O/r7DODs6AXfeEOmckLl7d9D3Wb8T2Qb0++tAATvWn0aBivh7KVXl\nTcEhqaOUKdmuQMpGieIgYO/yIT0RnAI6Ao7Z9TBGc+Mx9tyzRufLj2bMI2kS50VbvPmtwRZ9UeOB\nR8S14yT1SX/g3adOh3U32t4xCuc5U3Ft0PZPT1ZHxg+/sw175zlOvSm4O/bdLybbFUhxyBriH2Kk\nbWjLGLWgqZDYXUkrCaePNpTvXUHqObavHdmaiZp5gjCS4ppJ8/j4FD0nZEanx3f7w/B6FAnbju0b\nP7HOz1wgIY1DbbeSF5Hp297Ch8FQMnksaSip73cp07JdgRSjzJMSqQhVdx6sXIxWT+kumfXb+FYv\nJA+d8ftssPZFUxgzpGP5wkKt7VZF10jf6XWxON8ycXR1KjSeYOrX1ToO2/UDf+/YP9b7oHDHyTqW\no36XMi3bFUgxSgwpsYVRMRhf24LbP6Mm/pVB39WwaURqyPs+XxoKP9xM6zMeJUGgbI4noTmSmJGI\n6Et0nPiIj9QY94/J2XFhr8csF8lyyF7Pv7K919s2Uh31QMv2+YnU5XbiDbJdgRSj+LkcPVfiJJTZ\nSIf95D10+Wt4Bo2gyIt+Wz/63h1Jp1EvX8TrdXCiEC4voiU7LugBdkgEvDf/HoHayIjiPAdlDArs\n4wLtl1k0ix57VvJwi4KsSul6UDXd+e4Ju4fT/bm0BGaMPJ4SItsVSHGIP0LnjhGPcnq+MQuUtui/\ndp/J9+607RCPwtDoAGZcVvIxxv60R/tedAV9/93ngTZ25O9bz/Hp54f9ck0cKerH63zqTx9L/RiQ\nOFXcwYncu+1IiNVpp9PQ3Km12DNTQmW7AikXikQo8zk9b8t50FapJjW6MNKOCI7o+Mlrcs65fy5+\nlPf5bjrq4tsRdYBklMXvbNpP0fVxYCLI3X4ysDZ2IvqobdM6KKhPbo3rl3mHPH4ejc/kLoAc3+13\nWmxOe7t7q++jP8t5Z9K4BXw3gvibyHYFUi6WWEIehaDoxEv693ZEx+tw6dD1+Fwp7TSmg2wHb9lS\nbLqRjOI6REaJUc9CnoNC/RZHbg4Zq8eSN20o98sMmrWCBPr4XX1tAd121LstTsv43nG3ley4ULu3\nPpT2fJP/GNrgDgjibyDbFUhxyh3yn3Ta6FNlAPw7LTCI9/gtdnbC+VuNZDc+l0d7KGNhNX6oQ3Zt\n1Bb5vqhnYSkP2kGcSYVI6Qz9tyPRco6rxBlw/3oQgUrRc+iVqKvm4GNOi/xe3jHl+/Tom/H26Zn2\nSHHLdgVSHOKFQNfpckSIX0sLh+pIgj+KnNlZITlGHKqD/93HV0AMhP3CPHphxtI2kVFi1LM0R+Gc\nGy0s//j73K27LacKdy5onfh7mK5qS3vdsTojDpQ+Bp+L5rQg77WM97Z929unV7dvCinbFUhxCL0A\n/FEed5rMw/F2ffrFv9bLv5BKBmF2keZz5xwcjP59LXnOhiyNt73qUSb1fXtaQtM95jmUvlp64CBD\n6jvELPPv/IxKMfSp0OP9/uPtr+T/WJ27x/f5I+AlErw+PqXD+ajUrA1Vkfox5XLZrkCKUc5JVU+6\nd2Ukq66B/3XDTkWu3hz2UUc6hx3Lp9GNJ/L36DSMdaEciX/tzhHZuGq7Nq7jkWDPoZwRJD0w58jz\nzuq70hrmd8zc6Mdzn/qJRUHb9v5iqjPt3LUOlQXdPJ2IwnyOpl8lx6ZOzdp29qTcSrYrkGKQcVI9\nFzpn+mVqsZMNMbJAYJd+yTpIuwBioxpksfKnRWYiV9rg6e3WOyi1sZbSW9qOkb5PfIdXjc/xRaqt\nvi+EvhTKFXNJI52G4LkL/ffbdub+P4YEPSI438oDcUVSq3JfWdHNUZeXwo/B/rP+zqTn7jPKEeHG\ntHz/UsotZLsCKQbho4E6Z/qtzJDwZCfEH33b69rvnFnHr5lBDuS0yFyURhk8LMXztfrNn8P3LTn5\nsQ61w+SrW9u39DUIkp6tQ4hdVNj+hjaeWtu03+kP9ToMM8Zd4J0+eQ55xtRDry/dWMJQJNnZoFM/\n8nzRD2Lk+rR1vr+Xc/2jeUdSn46OfCIpN5TtCqQYRF4s2lSA1WHgF0x5SyDymb++2IFt9udquwY0\nyLqOhNc5baPBQ5CeaEexf15tIGbqJvMaeLSQ+ruuB57C09q3/g51b481JWe94sDXvw+9jzTwN9Mz\naAPPp34wh19ysqVAjEJD7G3SPst+gF7KJbJdgRSjoEiCxWEYF2YpwuwdoRjiI61XrLGl69rvgEIg\n6/7zdU5b3d56fl5HCOzv7yH32kGZS7vRfBHKUa7TVKND0j7D53ig423UCz+QD5nTuvH29287lmbH\nJZ/6mX2+jtpQu27w97VzfY7In7JUtiuQslBwZwbjFowLPX4EvE9/q5PlqWsf3WlbFbldIvg2xuj2\noPsl0lGs+RO1szJft9E4U45gT/SlnJox5YL2uWW8jSkK3WGcHbMrxtTsMyJSZR79rH+nn1v339uQ\n9kxZItsVSHFIPPkVO+acjppiEQ5PXS15eX1hnft8pn+432sR9gqkSW5fnfPhew/nKHMoC0qgjHV0\nNbQK4cXMccTuYUxHJGKtbrOcrnGMlUId8mhzdu7RF7+obFcgxSgryK/n5xI58og0+htL98Ojfr6N\nRDT1fT5PjLWjVDGQvVQnG5HT34/2+4BaHUcCJdqnfp2peUNfyjkzZiPG1grhuSjxukU44o8xJm1z\nRtOB9+uLX1C2K5BiFD0FYSOe4e+pIfRzG3EEB2U13HyH/sHbwI5SxTtF2pUE69p6bgyt24ru6/9S\njp0qOjFb19d6x9Oe+q7TbWyzmbHyQrY9ng7s+yIPdVsg2xVIMQpPLBwNTOs80PdO4O9BmPmzyI7/\n/JQH0vBJrVf73hURtcfwyCRlnTCIcYj49yPk0HVkaH9bU8Rm271M8TqN53gg81Mbl+czapRof+Te\n1pc+yG19n3udcjzdLffFffrjF5PtCqQ4ROeGvC9UHlwjE0rv0bkZXuRAzwlj7XEsGPpCsRqetRpw\nzcGgj0+XnBq6bjOL8tVtgvc5TVbd6UQh89M6Lq9EKvz1nUud2t4Zx7uSOF/6u+/XH7+QbFcgJUBO\nA1MbaDoPTqcQUEMq8RR8Rk7LCWM69fcA/S0+YzWp1N9/HEpCRd99HT78aAcpBcg7ZSsRkhUO4VjP\n9ryc3fwAi3OPjMurkYo17aH3CeosUEjVVWNz7Av/nUopomxXICVIxpzomAd/fA87xVN+F7do+C7Y\nknLC+u/6haIUDUW5E2dFb1PO4UCPS4+M4r05/3iH8KFLew3A6RD43xfhnI1t+Aw9V0cpeaRiRu8r\n0CY8jVjXXyaIo6cIrxibbV/4rnxIUWW7AilBwhus8byKEXWwTkwqoqcWF0uaw+7cjIvL/wjXqY1w\nZxwrHtqOMXYxHBR9hwz3LBmBiTC8vnZB0Qavw+tHXlrdvpue5xkzM3pfhTYhQYiVIB7h+EYRb1OW\nyHYFUgKFhuk5w2I7rfH8jDNgEuT+LD7fT7ClnDIb3Oq5kG/UeUSiIhd+Lkpr+1s3yOP4eGbqgCEw\nljrGp43iDwqLQnpa3dYfoz6HGK1Pd458IRzZlPs4xvGNIt6mhMt2BVIWixxpIuRLbcsplTqqSYtt\nBEk9PwaS90K1/A207fOl1EsZ3ssbdO+2yL7N/IhV+9vvRB0wBGaVcUPbSXak8ba2Onq2OtgcR9+7\nZo6/v4IgjW+PthBWEYfCNg7uxU1LSQfllxcZ2qeQFduWU+7vXARJG+6Ig8bGW1Lx9AN9A63Mx5BJ\nizR07IvOqFNS46Lm71Ud5F1Qo/HwH6zG6zYfxbbPkHeFzaYmMV20nS3zUbs/NbR2x9NZv3giqRx8\n2XYsSuM5oq1TXLJdgZQLhCbVoeTLWdi0j7rjjdr5zv72Y2xx4jgomhNg4aDMOxTtKamxUfP74j0E\nLCpdh7Y59ozaoSuFSivMIm/++YCPsWsch9XckzgkkW7PNigZ62ZLsV3lUKZAsl2BlEnxpw18HJRZ\n/VZO8HExnDV0kZB/PAw/Q87l0ZC523kxwq4E20s3HFvOlakdFMrw1+9YOw9kJI4mj642hNc5ZpFI\nIsUV+bM8Pf3VPb92tudunB7nCX/nU0q4bFcgZULmo1W7IZvXed1x3TRp9oD5Z5GgeGdtxW/nU0mz\nTt3b0qbMeuNk4w146kM7WxJ6yDlR9na0oZU8eXTWgdCRAMpxiN8u2z/XzxXr03a1A1K6vqz7/sX1\nPm4MUGhmVFulDLJdgZQJWR0FRUdxK/PR7TuOxRC9VfbncUAixwTKKbHVod8a2sP7krFGUiDYdnDJ\n4CL19ETKPK+LQ8Dk9IcfccPm7YhIzKFniB7eeo1tdczr2kF5Ib73XLx3NK3iy6XAsl2BFINEGxTt\nHdEO0DUOVd0+sSQ6ua1moWvKsM2kahCiXx2R4u8c3923JbdlmeMlecjIfkQDqacnUpYdDgpZ6fuq\nH48+wq51nrXfj5ubVmdUfhZ3XkmNQFEct3GM43N6HV8uBZLtCqSAMmPEZt7R/nvuxk5/9IQaaixa\nmyHR8e/zp0dolABNhXgdm94o2S5qbAnJh+PwvfRIB80bONqrzuvzKAmNzKCER6/T6Ln00c63GJ27\ncTzaOTg23bWUmFeiAyjayeOOSrAToOkxSnHo0jm5SLYrkAIKyoafSzNw7/hQPIeZ0e+wLrYoXI1H\na+1363Na8EWIbivfYkyjBOMFeGid8XfS9zVhfVLfn3TI2JZY/9TGkUZJfA7DWh6H9hv0/dJ4tDpZ\nEmKj/45Lifm5al5uiy8o6Q+EtDpqXD/EH76YAsl2BVJAQaKz2QnEIw79YWb/aV5wHs/xLPjoIm89\nw6D+LrfLiIeFqfeNKR+LgXhXnp7+1dVVOxp8bifW6WiM7YD3SSlPT9/UZ4zv4tJwfF+vRhL8c5Mz\nzuiYpLZ962lKWg8EscGdjRkkT/pM0sMXlNBXCthSltz5TYeDdc3Op5R/ZLsCKQbRorOICcTnyr9W\nz62hYD1PPsP3sBgZnVcgR1yP7+CpD84hsS7K7fdbBMETuVocVU/ftH3yamz31unjOQMxDsVqSF5r\na6xteMTD4oRq8x8b/3rq0vJeep36o7Rbg9/Bz+PbJuZKATqAWTc+U0TZrkCKU+gIfl3E+FhE/rOM\n2/raa+7H33F8D5zPEmVkkIXPk/rAF3UuyqQ4KDNcnxmSJLbA2yJTamcFndf/2XL8c2k2DgXV07YW\nzhWtK4c4aKlL23vHz96VB+JWz69X4XmvRRoLtEMR6djKYzdlqWxXIGVCojko+vvqnQ2lPD19URdn\nelG078aIa5uaSzMiGyeigG9NRPgocpQZTSb0kiTXRIbt818GA7ei/1eNofm2llDQGsmSScsWzhWt\nK4040Ommk4jqe29d5z5d/F+Z5/WnQqPcm5ix2+qcqMkm2a5AygZBiXQjlNsbGuQ8if472hXqc8TE\n89+jEaQdif67PRLi2b0xIgF6dLtugV3xfet4as+kWX/Db0z7YY4U2nY0+tA7A3V60caBsvXV53Km\nal9Lu6uqT/v1aUe/wX78/qjj3+zzVvI99HH6qdMp9n6mFFi2K5ASIOeCYl0keSQD5VHYSXeSMbeT\nfMffHAsMFZVRRGPpYLG5NJSnrX42kfkzHFpA7/bZ3T4ax2v++dSlj/3cqHdHye+dcyrrNOShT91v\nH7vPT33QAId+LxckULw3rwPGr4VyqvVdORFWrA9Slsp2BVIm5Zxw2CmQY5RWyEmIE9XmEI+RQGnl\nQvR6vnZGgDOCnGHVjS1Wxx6ivlcUZuOQ8BwRfjyNxNsRLbDtFlnbDhq6EcFrqFOk7eFvrR7y7q2Y\nevfOENVvX8s4F2SUUhtbFsfDhwLKa6Gcau3TT38L68c95vEvLtsVSJkQOtKRI/92gRgXHvp7n8lJ\nqRkVDF2hHAz+nXJ9/ipoW4zv/Vc5DWWPqlh3ubwtYyQsH7lv73f/ImlPX9Tf7Y04N57kSHl87ro7\nmrC69efOPJdoQiRnnGkUcO69OLL5UlqD3o/9j2XsN4o8St0vRI+tGQRGrnPvLFOBl0borTlq93Ci\nf2PZrkCKU0YEQD7oavwtykHhjfO4SJ3OADqZR16L/E76GTW/AWsL3rBSuxJsu2zGhfKvEmV8bQaA\nTi1Z0hfjd8f7aajxpHNudGLx+jnU61AjFxg6EMH1iUYrLYHDOd84zgm3c6gnO1u3CMcb+3PMySfi\n6hyU+hTk2oG93on+zWW7AilOGReC/76MB33Nn4MiQ6KSkcdyzY/n9Jf62RaC8V2fCnI0Oo2WjLsS\n5Hpq+fPXwhlrvj0kPotsAOhoXEI99EW8NUpaikKHw8+/tzpcDZ/TzrEFHRjbdl4PqT+wd8lzluOW\nyU44jda25Fq0LpqOc32K8/H0Z1Gk5Wud6N9ctiuQ4pRxIZCjH+yZVB5ei4SpE1B7w/aZfPb5jLlo\nmibeYk4BvqDaUj/je9o7Q2injIaR5TRLXy/KWZNQD8QYnikHLEVhSRl9YPW4Zh6NN17z9aSMeCQy\nJqGZFtRLSmPQjoj8m7rP+jNMOMdfSy/df/vuyNM55nxyUC6S7QqkTAhvlHwHfcmR4zgxxzQT7wzg\nSEwdTXt2JtVRIQXHS9/TjISW+kHh7OMkzVLGXS3UIW/9e6iDzjgHhidmUm0kjQPP9/Ux9lL9d21O\n36K7jox9Jv4dhwB5HWmpruff650q/e4d6jd9G/1/5eRpWG/txtNjs5+juujOes/TSe7JRbJdgZQA\n0VEONHdtJfFx0Ri2uLf6aUbXB2m33+NTRzLCQy9mfjj7S2UgSunPBUHRIP75Z1uOv+Vy7LXDtu6g\ntzH91acMVh7cF1FXzsjGcSpQh9v37D5tUY87yak5HMkeQcGCobFO8hlDGI8GXR+0QEV+TnJPtsl2\nBVKMYuEtnH/XJqAcTYwTtL5H489Sb8fjUxT0AjgS795W7xxTE3SbWHL4NIEO5x3oF6HJ+tVbqcuP\ntuwdEpzPQdef++0f5TQwX8sjvaIhJdTYsOknj7f6WgG5n61zov2ODRXS3tE71ZGcilX8jHas9Fvx\nJafo+Ht9cnQp7SWRGpG9rhN9zL6lDfzoJcWPk5+jza+UZbJdgRSDeKI0HcJGI5XDsPcRVG3w3hHv\nk3fkjBFdffkcn5qg28afw+fRI95RsjlRFOn0IND2ToD3enqNE1OnlUp5RL+8Y8dHmjFXFTzGS40m\n6f3snRMznAcaQeyd3f47vl0+s7oi8+IcK5KDxR1tf6Be+jUXfJ3q/qbnjI4aYk4DNe/H3+ptrc2v\nlCWyXYEUg3giKzpvXhMD+/MftEilXmD+tzIaPBtPY4yiuUVklpHfOwYcp4biKHA7V2xOlPSe8++9\n4cPPxJBRgt4R/Fb0/Hv/vL+7/vYhHmddX7rnvZj72cZ/8aVIaONdtyWdIplJ+6C8KP0ZWvBBpQKl\no+0pRxubn4/fflTnDFp3+lh66TgB2nHE+SjrkK0UUrYrkGIQr9Fuo/LeMNTREBKp9NF/fbARNfnR\n9Mt4OZ8XTaCf/76cp7v28DafD5e5M7GnYo5ORO1A6gYO1/Uvob6S0Tocp0M/O+LB1/WLq4+jHVm+\nTdrxKaUL6TraDdosr0VPa/WOx+FA9IiDlprFddORERQRq78n3+2EriO6Q3f/nUe/mGxXIMUoqLc/\n/uaYWLWBLuXMI4+7KHgeQg0Nt9tnNZ11/c6FYXaBHp/RkzJLwfLhc9wLexqi75vCLr6Wtvb0w0P6\nu43wm555PXtezkxKZJ48yj+7RhtrjpRu9GhHxoKizDo4fBqET/36UycR/YVzSyhOy6sw7pH5p797\n5VhLGWS7AilOsUUafVT0vZvYZZiQK52G8zkywTACUh2f0SMo2M26c3C9JQ3RE5L5e1miF0s6X0+l\nnWLeO6ZExjNJ1s4fxLEc04+29/h2gJz6zUXsHHdCRtt0vsXZNrFoAopStN/7s9MFv3/H8+6Uy2S7\nAilOwb39Y8JRF+L1/y/ftcFBwHbdqUh9XBgiFozxGT1BEHv+XMSIn5eBfNdL2JO5LzSv4Kq8O+oM\nzCBE0vjT+7wUHwri2cbc9+0zXDfL2PUiGW37fTG2h45C2vqRXqu8fZAIya1kuwIpTsG4HRwzXyKI\ncc4L5+zYtpXSevGEuAgeSoxRm3OW2jSRbBx1fY/fY+jP+LvzvePfW1LuVVHl6AyMcL3UdhaEyxdR\nW5A2nwHm+3Zu94inD2WEheorLT2KnJLsOwcH57lFoo3pyFwg2xVImRBtMbRHb/3CXXNNeqjae0CT\nDC8jv79re4/fpXYKzfIKqNy7p2/xNNoVizFC4pWjeksazRNR199HnEfJ+eScLK5vI1KdcdyeR/uh\naFePBPWBSe/sYCcKe1GXmLF6nzXpF5ftCqQECh+hYBOXW7hpHgK6g8gOLyO/v4PoqMRIjpxBJE6n\np9459Yl9BuKscmRVXJ/IqPSP0u4o43ZR2NqVdiz7E3URPorlTB/OaEtOVl+HOkCwIQQoaujtw8fv\nZLI0jZS29XhIf9+NDw28Su68Jv1isl2BlCCJ5Yf0izl+INn4vLn8r/Z7C6oR3+YIKjH2hT+aPdqh\nJzlTxhJ3Vj3k1GgjgXNQPrBjkR8LVDvUf8PqEcF1wMczl3pD6sjfstx+909zv2tzT6srrz9OuN3t\nIFyV9kxJB+WXkBl+yPgcyoC974zCXA5erwO1qGo5+8P4HGedrI+udFTCjjjx7+rh/7+LxItAkCuU\nZKjrM28kWsejFH7LKD4WOT3Hv1lTQ/y2YXysa9+RdlT1iB3FNUNSYXV7xxl6D0ITgfReKclBuUS2\nK5ASIPQC5XFOOAcB3frnTzHFGMnnYoWLW92laFAiFq8h97bPo86nOP49pmb46JVDDmwLfqSRONMF\nR7/xjodtLNLpkfFveD30CydX9be0HZ/6Ll2n9jPdIbTMkfM79DoSKTschHRKLpftCqQECBLZ6c/Q\n4MqEjw8AACAASURBVGvd4NIOA7ZYeQwebbR7wh3yHDnF4U0JxPdzzzNA9JZ2T/V9ZUO+otJr1n7D\n9Kr7aLwuwMvD0HlakSmv3tnHeDaaLud3eQcX0UfvSy5NN2fopbVoVcp3N+/lN5XtCqQEyfyBUPNH\nUMsOg66Tn5tBEUHPiFAnDMo36iIpgZY7gNdh5vsy4RLh86D9bdlZgRix3nGi+80/F9YaSaqv41Ne\nXIoHObId08XmmKHPtKwj9m3F5++p+6oQvtFbuO4r+zcFku0KpASJD4HQI83zu/ZFb0euuF/E9Wiy\nj97H9IJm2HkOkHZ3jtWgUwuwLZrXkAOal1IGY0L/FnUMdIMhp840w2J1tp+B9kD4Tzq64Z/PeASP\n1d/Gk7HMZTkgoNAy76nMxzjjLz5FuTz0+JPaP1M9F8h2BVICRUcKcINCGzK7s7Eqb4sbDhlZotNj\n2jP7HRX9okm/a6xD3/4fSs8fGiPOdgcL2q9YWqRPydG7angnQ0dC5p0Y1EjzDk+rQ70TCou+LW2M\nGEOkDnT61JZ+Q9tQbv/ZQxPt24pH3Y558L2chPjjWX9VetNBEpKKlhEsbAymTMt2BVIWSRt105OK\nz6f33IYx2rTpsMI5sRiOfoGijBe/8GJR2PH/+C6qxzPqM03q/3/HvFvfwWKNvtvP+xNMqVumJcdW\n3kWFROLc870wuxwN1/XVo29LPWidfQZORvEQpI5PVYzzgWv/GB7GmVa1oU1j2vFAvvq5J6N9SCqa\n/g7Vfp9YfVOmZbsCKQuETjnQW1JpY91HzrZofNQhJtKgEQvdcIxoEBJByvA2H9F68/p/V21eytPT\nR+bd2HkRFqPEIwpvCnVbNe/Yvi3IWTy6Q8jfR+RD8cZzfFpU8IjGW+fyjNbp92npMroufi4DMv6R\neaj/m2t/OzKHjE90zZAdp37c4QiTPJ4pdKVeW/0bE1JU2a5AyoTwiyKVcvheqAV/fCbFPcCjcfo5\ntoWYrytmqPH6jXrJ8LYvJ8/XqX9GjaD0C3e9UNrIhTqi0i/CujMn5+xlFMnmJPZoHs+T4uv/vnDI\nE3eFwxitS/wsBKGSjSEydvn+tBFmNee11YNDCuW1wOO46HMT3T496omtL9paWrdf7RDR+qZMy3YF\nUpwiLw4U7Pm50AuOBMG/VIu1vKCN+sUSZOko37MLQDMQ1ugU5/xoz6DQCo9e+ns4xKRN3yHv5KNr\n/iwefAxRaJ7ndGSLYePSHNJ2blvftMafc/Jkw4qgN9h4t86HmoA+nwrq0TRtzcDmXFxwNKZh+/R4\n3GGMKYNsVyDFKdrx8+fEb6FOm9GxL3i0DvpCqr2/fW+drvIeSmerny11syK9FbOLQm5L29HtcnSt\nHWI3LvqjnhSap48jPn2AO5Ojo+6L7LEx8lrpYDOsnpRl7HxAnDvJAe2N/B/QnI5ao/T2ldLJ86Th\nFFG2K5DiFAm2fnzeQ9Tzl9W1z0YdDc6ASVtqR73Pz+rL8v6tPs/XtpRjhTsc3ghONyQ8wsK3OZdu\n4A0MqpMcXfd6vKs+sxiwA7l4YZ6r30HkHwPU2OV2J1FoiNSXvfP1QrzTymNak2bQkZ4eefMQiA/9\n9WsqIpwyvO7XH5WQ8o9sVyDFKVQqpv2cij7xQ4pidOwXTz4XjuhNf34+b3z/DIGvXpT4C+r0vvFE\n1K1Bpz9/LqMxlEmq1MKOOD2eeo59/9K9l2+fkXPzVzV2eaeI/txnsMfnfOjqwO9mwwwovd3WOma9\nBtTHEcFTKDYuzYGgjOeYYH2zlvthReRSwmS7AikTwh11fk4e6RyLKxwUmbhGLeKP3/C8A55fg533\ngC2cffrsU5HQKvoZyHskbk9v0DkOTn1z7dcitQtt3OfQBj6N05+JojunY7/1d8W8BcZUTMTbojef\nmfbnnA8rxyZCV4tTY0eZxt/oKTpcF5yDMo4tX7vNrIErUrgppGxXIGVCqIVwnDztNsmrJ1drhM9o\nXc/tIts7LekHnSDc/rZ1SKJhXhrNqKPJ753uFG+klPNgqlJap25ERcaFXds1gRExsb7H2m90BOo6\nHWdOyJH8rANOpRlbZ0Lfso/X9/pI3OZAcQ70GgTDlj62f29E5/A10IIgpYTIdgVSjNIuGpTBuQYC\n9+ktISj27Zby+5CzSySD3P821pDQDlS95bU9j6TVr08NHM6cfkjc6HRQSA3lyCKOnUZERe6R6du+\nrlt75sQqfoCMNFHb7inn174dev3845EKnWdi4+TsrafEg+qdfGwNlOfDfer/i8l2BVIMQvMQqIhA\nMvzU9jj/OQHod3lEwx+hW/WQOROYgbGSIXndKCNBn145vv+5tI7FgUxpxExu8e5TRcfYwiNmDZ2y\nIHejnvyZE+vGTZ3C6NuiPpSvRlruGVWP6Fw7vmlnRJuv9YnB+H06CPrpr2O/DlJn3PABgPz8/lnj\ntRQp4bJdgRSD8HlwbgHlDJXt5mObcaGPOrc5B9bFrodveaeH5z6gxD8uIsP1lnTRUYjjfX+WR8oD\nTVtRzi23eB8GCY8YdXTKj9zRTrXPUbbPs74t6luy++/xacnVgqc7x/an66vN195p1M8kasfgN9e8\n4ecMjYyMQcDxb8+lnsf4+xOacynTsl2BFIO0C3URJ+L4Wyk1pEXelpw1fxHYjHNAv4tyFmojhi8i\nSLpg1FM/1j22/ykHFYvcZaPbL97Hv3GES2u/2XQMmiLix8fMybs9YnDMmf57/h1R2hzB6zo6CpqD\nx/WN7gx8K9pOOn4M6r9D0k78vBjH8PkM27wd505Pmpd39aW4ZbsCKUZpI99SqNNex99QEC6XO+fO\nFPAcrDVufz6fh6VeqO+P7+oXjeNvHqfHZoSvzEW3/VDXU4/ccd6Bntbyt991hFCNi2UdC5wTbZlH\n2Du5eSo5DdS8688POp5Lp2PwPu7b4Qs59mg9+63VpcjnylBBFNUHcmoUWW/0sd8/37arL8Ul2xVI\nMUo7uTCCmoRQYKkNFEHRdeOjIGmBoL5PLUr9tlTMeZjh1+wzutjdSt56au1/dxnHhxdN4YnTnjmC\n9+/hVPUIDTcXJOQyjhiPoK/SmHl8VnNXpDR0f8Gj5FhY1w+JTPuW+e2hQx7edpFsVyDFIVZDI+eT\ntVyzvjhbdLMuljJZj0tbHZe78fentPpeZ4BnHBotUlzx3kjjFt0e+LNpzhWG+PQOAodSomd4SEin\ntg38E9sXreHH57inD3S0Vk6hIO/jUArEsWjfo6djeGRGCuyuC0x+Y9muQMqkRETPehR07PLA+Aiy\nHrbog47YpOjscFywS+ZoXkmPjsQsRhaDN9vf8nvn+BixY3etczgSHOvIW3633ZmW0TXMoNYkbwoF\n4onC1jnu7YNeT/pZ3GGB6Hrl4YS97/T7XH1eCpeOoTk6FMconZGLZbsCKROycoHn8tpxuXZfxGZP\nSZUipcLaRaheVKkTWufaeNRdR3hixsgcmXfWQeONYww6Ixtfuu7YOPIbKAuHgvt+Wzf5ctC4Mand\n3n0Y/vGYAsnZl+roHXd8yuf4W91eckrci7KlLJXtCqRMiHW7sO3Z3F0h9ndGTnIcrj6+0+a5ebSo\nh4JrOL2Y6ovpvv7cDCSiXT9GJcQr6shyzrDzdY9JyXBj6X2hU5OWu4uobdoyMdOHrlnaoTf8ra5X\n8HSkOo8O6eGY/Fm0SwgTLbmlbFcgxSkcdB3/DuqSt+OdPMlt1DMOKcDh6v6WVclY9hFq7eTYjDtq\n1GYWRDyPz0e014zReT6C/A6UP0Ad/Y+0IZ4aGf827nyTn0fvlBudbs4x980z+1iqr2PoHS0LxyaG\nuD7Wv56vtLNIvyvRkpvJdgVSnOKNRuLSK/KFabN6xrTJR0H/HsYdnb124UKOae9z31rbeImrmDGy\nGwTbVlxcR9nBW8FpGp1r+3tlh5ZCSPq/4eNeH5u0033VPBvb2TdW2vu4OGeNOnPGSr7/VM55LyFX\nNZleP2wu5VLZrkCKUzwRuLzgIlEUdWGdlreezeN7dytRN/v29efOuLDnzmkInG8bzDhykaiVN4A4\nVr2DNrdQo+jNCk5T+0za6LTf4c4GkTgjyFUF+LjnHS2sryUEJkos85FPf3HtUyNMfWpZd/rltqcd\nnNOJLZXgx/anLJftCqRMiN2Ao1GaFvU/mxZDX26cg9ARY9sfw33Wl16o5COw7cRc+Z6PsW7tbh6t\nP6Lz5SOpeD4Cx7kNsZE/klai6yydwCqlVaR+k7YlS/wVfIuwpc4R8xLvA8r5kBEmeu6+wGNE5v9Q\nbduPAb3tMg10qWxXIGWhjAsot52un9DaXT7r0za0TnLEe/62XtTrOz8sjk3twCFGAj+jZKxbCzFj\nDpFs4GzRru+uG+v4w9/tO+nUllZ6U5Ct6LZ2tBhSHDXSOU1YnWd0sPU7FwhpKEdfj9eipWjkMcUh\np9wBd6XIh8eta7MUUrYrkLJI+Ek57sLRFo7x2esZ77TBlyPe9vd1bhmDbdt3tlsScQOpG7P2PS9d\nvY7t3Lb2ReBz/ff1Lb0exMvLI5F3huGcGxsp+Ewn6E6lb8yud/AtdUb4WBEicz5oJxpLs/ZoFX8x\nKFrXlqskn8x9JZ8u5amUkg7KLyE6fMlFMS/EhLbCqeugznExwy8n827B5m5jjq9bTRaktnPPpu98\nC6knSrSkNujfx2xP9fOycGKzZczyYxm/nE+fF55twj2qoO/Gs7eBdQxZCd2fC3oxqDVVF6FjSohs\nVyBlUmT4koti+GPg7zoJaQRFW4ztKYuIKAkjwPYGXd5xor/TT9Ccrf/4G7uDJ6cx/NtTMeRrrs/t\n/T3yqXCUyMvNongZ2HUQ9rHoa0/cUaA4UxoCF7NDLTkol8p2BVImRYcvqWhOXkA8izym60waoIbj\n5YjPyqkZ3+N3FhBDg5L4ZtrX+zwUnud/8zrULWIc+H+DGP3IE2PHbcAYpwhFibzGn9p1tCZlMRvk\n6A4fxVuSgrH6ckJ6m/bKcZjilu0KpEyKD9b2wKlzURaP9FjJjzqfxMqpod/jOxMBM0beVITsyNgI\nnbbnSONA479YkQK/c9W/CzfAXo5R+w76bCCkv22pGt924rF9aGI33/+WtJ0PtbAhSTwH5fxOT4L1\nb6OPWgtTYNmuQEqA+KLLkwMhfy8myuJRA37CW3kxs7+liXo6p6D9u/8IdfldxzPrXUmSk4A6YthC\nKyN1FGJ1COWsaOgdMiakNjreFZeuxFKp/Pk3iMG+Ih1Fv7Pvp74dI3hJaKovkkBcnw5dizd1myTZ\ni2W7AikbxGbMYhZ5C8SsL5oWRwwnJLbfpQ96Q9ovJh1R3x7d59zb9nr8fsYRQxw+KfUjbetsjTb9\nXQz1kFGc8TK9yIgXS6XyYzQOiYzniI116wOJCF6SPxU1V6/aQZnbRn9Xft4vLNsVSAkSG7xvWzzm\nuSP19lXpOnnuNtJ/Fw3OxfSv/8sZureFP+jt0CE+khp3HX0prRHvoep+G7QlbedbaOW0UL0riUt7\n9M6hDfXQUZz+LiX/ZZp6OsSWYotFBmJ5EHJK1H4OycwY89QPRzPnibLJQblUtiuQEiDW6CwiErBx\nR47I5U/CIEkRNGfc7JHoyC/hr66nkZR+4Y6LpMZ2GrdTP75Tk/38HBQvP8Ay/ihuw/gb7mA8e/qM\nR3E8O7n8fKmVc26ltE7jh6KdQ4K0B/+btWPPMydSbinbFUgJkDmORkQ6ArnArJSnp79FPWmoXCIl\n0nXVyYw1OqNdXc9xWQ6Oxfzix0PspRzOSNTCHk304xwNGU2odVh1UzS6KwYZKxEIGd1/UWhBxG9o\npw7f7oyPvf4k6xnHL3khv7BsVyAlQLTojHNGYohs/K3Gp17IdkDU6UHqSkW//QF1tmhW5lloC7mG\nNPXbdOv/79NeR9t4d7pEpxrsjsaog07Wjp4T2FiJuTxRRmT6MSWhDvYD5fR05vtypuf6gEJy7GZ5\nKcfv5g7Ji0amEnG5lWxXIAUUD5x6/p0yIs/Fa6zQnQvn+3X+CEZC5Amu2HP6g6lsZyJYIvSz3tji\nOx7WdupGO4Qjedfed3ML+tgG5xX38phEzlqZNxT6nKEdpcfvPrnmBvae98zfqV1PPepAzzfrvGrX\nhePzr2V0zLh5Zj8Nl3b8vOgvzWvz9tHYJnNOaUqIbFcgBRA00qJ/S221q1EPn7Gi0zEzxkRa8Ljo\n02r8ItEDzchiDhyiG+0QltIatrVpAqwN6v9/p/QbhxQcv6G3U8fOK41rxF802TqrmiPEjW3pvqkj\nVdajDjZeFv/u/rmHfPoxnj4U7URgDyI7Biy2gwFHh83nqFvnYMoW2a5ACiBIpCX/tjZqvdGciz4i\nIVGUD+Alxl0FB/MpMP/OmtYhrPkzvWNwbdTHc3R6XoqeoqCN5khijte/17XW4S9mfB31eBXrpI+V\n2tHp05Dvq7/xqAaG5vW/qd9VIyiHwzXeD6W3pReR1ZzV2sHlHKt5h+LuRObfULYrkAIIEmnZfrtv\nEtpJgcj5KZiTFQXh2iNmrL4YX6XfOkvvhPG2d9wY5dAV6TCz/uLEUs4tw+vq8Xh2jRZ8EQ0fjWrQ\n37XrcqQhqZ1v9CnKXsM6clA4dAW7THBt+rBOTX2tdDtQrpgLD5ODcivZrkAKKCOkjB93jXI40NNl\npWfr320dBDlnzZF7vUfZe/PddmLxKmRJdwT0KHTm/ZZxRaMrMqJ0Ogv9Tg97PTCHj0NDpPRO70ih\nKBmiT+8cyDvf7HW1coT4Sznp50fxQWgd6LH0rfqe7SbtlFvLdgVSHLIiV/qY2LXT8w74DW44aCid\nh/zHZ7eEVj610Ee79QFitgiPdqiuzVMjTp2HeDzz/vHv8r1FVkRp5CnYD1zDHcm+jWrj9zf521O/\nF2OdEH2wnW84B6128uvn0Byh8XcW52TeGR7nbsuDkflYpVzBXUq5TLYrkOKQWSiVzvl+7Cb6R/b7\nqHPQ/v7Qtya1ScRQLurmtjJTCMLodNkQH4r/ck2e+tRz5jTUiAP5kB0opWiXONoNao9Y2Q5cw8em\nLRWlOc5cXWxpWXnnmw3FO7730r1fTg1GjZPoZ9JrSX2wYQnVIWWrbFcgxSneFAIdSR0LYW3MucWw\nj7z+LD0cP76TIlBqDH7rVmYKQeCdLqyt6PMwECh7JsUzLsLH++159tlUE9dHY5ojwsjZESs5/fQy\n6K21EY2O2HeC0XWRnUXciUN16L/32rzfjibadyrNjQeEf3Zc6Hn0l+3gv5Rby3YFUi4WftF6LU9P\n/115evqXsiD3kZd+XgRn6B+fUds1e/Keb+HjnC5be40IhhbBzsLdIzpRioQiyc+yOyg2zlJ9Z5At\n/TD2vw2xGhECe/qJ1of/LWqI6brwHC9buhTVQbuY0YJqoYhNLP9D55/1a0aSXH8h2a5AysXSTvAa\n9i3l6em/DYsQQsrEFssPRb7/hoJu+4Pl5DMS6Pfaib98e3FRnLTLw44stO882sC+U0RCy/DfoOkD\n7KZn7V0WvsXoyL1W3/WmxfTfYoRU28nD1G3Met/aU2a+OSDtqLneGeB5NbbNAnPvTgfoAtmuQMpi\nofkmddTab+ssw8KsRV40CkIZE/7+Gxo1kPTREIy4RUSP4uLPWxkjwvp5Xg5NDfGjpFHbUec2roUN\nZRh//6Y8nKNSUNQFe+Zc39HzDHFq5fuhIsew7beUk47OQX1tsM8FakePNtbmSbwriMApomxXIGWh\nIBPq8Z2/SusQ+M4UkN5nM+oUgoLxAK5aRPScvJQWsSM6JzfCEjFyaJnkeHjTB5jzJj/D3neP37wS\nesxygKJTFX6ndp5HFGWcMeeARkM/u3Tgn9Xv6NHGWsSOtmt38KWkg/JLi43QV3NRvAuhj9A4fi7n\nk+XF/L6LiGcrd/t7WxpgbNPRkMu/wbcCW39PfXfsO8sBfNfC7hHcHuTzGOfCNyckffE5WKr3enTg\nnmVLM8WgmnnS7MWyXYGUAPEY8vG30m4I1Nj4TlC9us77+ml2VxGeBhih9RpJQZEJzjitQanGvluP\nhPnH3jW6zWwz59tVn+M4+qrNQQ5BwZy09ll/l9O5f8u+3zOm8bac47SlmGS7AimTMsPHwH47fq4/\n03+FOh6929Mru+Wx2Pp3FeHpl77fbEZOHxfrUKqz79YjYX5OhIz0RBFYz36wnQFjeRc/x2eJ3nYO\nCq/Lu9KmoY82x9aYqPUgOSiXy3YFUiYFWUi8JDMqpYBFVjOQsuYw+Z2ffX1UL9Kzu4oQB44in+Ko\nkj4u1qNUq98xY2xkpKc/J4g+yG3lPLK1A0d2jj4nxTdux7+X8khVWtLXRz363WbWFN1908e/qGxX\nIGVSMPiWglt1khmVUsAcIu/lZSjxLu5yNlmfqG2Jax0qGRb/XKw7KM7f8wfwWSLjne3vGWs23frn\n1OcESScgr5tHlraMIOd6kVi0viPZG7+2gnZu5GP+9Xlxv/TxLyrbFUgJEDnl4ieZ0YbOkmawRigo\n8Q67nG2+TecdCxvCZTf2njQcNpawtNDPCnvbdoBY54juSK+cR9Y+mn2HjrhZtwNjXDgMlaG2ovuP\n+b/CMU/5R7YrkLJYeMKan1gWQai1vG+sx2eHEeeJwPRvNDTHwjFAEa7PZmMfCTvLuiAO8M8Fe+N8\np7odxsPuRgSL6nefgY2pZ3wftYY69lyg6HZ5PM9/zD9dZzvxPMUs2xVIuUBO7oa+bdObS96RysB/\nQzlo8i4AHm5G4er+e59AA28zJBEQPa/LMWZ4Ay23088fXY5toh92N7b/XpQpOjXR1uc4vTeGuL6q\nrXgn0otU1ghjKdYrFVIg2a5AygWCRIH09/p0Qb8wvav+Hns7alzduRSXTralo16UnMelpLS7XeYi\nO73P+YWaTlf09a0v0XtLvIf+2+5x4B8/9sPu5LFwjL1V3BobujlPFi0lEkFYhcjNp7GoO7nGU4yv\nHp+/uGxXIOUC0aJAiXcwOiX1wvSttMjE/W4SfehP3XTq3Wn0pmsPLmL03cYchTzwfV63wUgWlAm3\nr2UcH9SOIW43xn1QFVu6r+4fjwM5d74Ljj68K70DqT8XRQP78Rl7kzXfVvNjZcZhPtHnz6Xf7k2l\njnaP619MtiuQcoGMuzJqg1kjCV+JSdgbmy+lRSNqOQhotkV/Xb05xAcn+9LPxQwBwkFZ3+d95N/3\nFYIG8QYa/5uPzLtinPCoj4VXZN0Zxe36GZ03nuvAt9tpLMvwbF4nlMDNOVf1HIjuH08qN5Yn1dad\nDjLu5HT/grJdgZSLpEVH6pSDtsuHui+lRyRw5KSNSFbnmbXdBd6dLrYFz0PSna1/yzuqndOjr16J\nvvU5lsjfaKQF2V2yYpxQKZf6PXG3Po+/o7bMSk6Ahmoec7LnRMj3aaHOs8yR+lAiTlX1OIeWvvAj\nX/3aOHdYXopZtiuQcpFwu2Dav3OX81GGrza4mAFGIhJ//ahFe825BX7DPm9s8UW6Ro56o1JHvn8M\nRmYNaoHwW/zbU+fnAp8CpZ/h1+3hANXv6J2Q3iHR2q13Qg/nkz4UkCZ8IqnK3nmKGs/6c6Tv4UiQ\nFZXpb3vH7r9KCZPtCqRcKDpRzuJg9IuEvtDwxNGIbclchL6GkGhd8Hj9ZnYSSIt0/f+1Q4LwkXyG\nx5qu0Ry9VQ5mr4uHCDuXIqTGAmf4x1SS7mC9L9TFlFqaCWsr3zMsbWH93tpx0p+mnUTYC2W7Aik/\nkciLBBLFxF4mKEPj99pJQqfKbPrZFun+XZgxjsnX4+2NOzVxu1Bs4whJk1gdTfmkX+R5fJ8ez+sv\npvzkqqOlDjHzAkVyrjmDaaXzk6LKdgVSbi7aQnh+r9/tsc6gnM+ioO5DV9tOkpX8EMqQeRwBi2GT\neSE20quvL44oPoqjMDo/7d/9W11H3T/BYyHaMfPzoiiUpUZQ+LkyP67nDl6zPcdylpOVxEz3YxJh\nt8l2BVJuLDSvQ2LL17tbvpKTfU4XPLrhjblm6Gh95wxH/eznMucI6Ds80L7k29Wbr6+fP6YY/H3P\nOZs9ibHdqeXTnR+3dFvF8WSiUb/aQXw8W991E+FMeMcoVh+ZH9S+D1+DVvGdUqZkuwIpNxZ7rro3\nGOjvZrkvnMOE7eqhbm1G329rw/bAtpnI7PFb/HA8S1+O7WaPlMcUw8eJcShdItcflkUdJIfqzrcn\n7+BFXugnpfCs6AF3aB9/4qk2znFHvnfII7gqh4NVxGf516BM5dxQtiuQskHwRdt6h4b93h8sKooi\n5HGG7n2RiHAz7z/f+XeJ2rnER4lSO1sup+uRELtzNqYYIuB9LiVyjJ9+xxK2nV1KeSFjICoFcL6/\nvUX67BP+dmm6796qulvGOZ3G69MpGgFYR+p0pKoU7pBEzxrk7cdM/SyX7QqkXCTtQkItYnTe1j9p\nUSgYiYoio1QsVYRzbzT0p3bAYk7aHY1A3OF49LO9zlmfYpAiexsyxT+j/n+EuE05ZJTRvCbCps89\n6Y0zgh7UCCFOMJW/JxG96/N1+LnUjo3xsEMMqULPeFlDnI0auymqbFcg5QIZyYS9AbLlbWcIfu1i\nSEVF9mdHL0Qo9waDxKmr3qMi7Vq/mMiPdtYww2xdzD2ohJ62q4nSuu44ujCT5rOQNan2f9fNkz/h\nvrP3jczhkefvIS+FO1vlTFXRp95egVTNjlvLuEmZku0KpFwg42TqI3ruKHQk4rQSTbkI7MVlBFZE\nMmsg8VKku3vsOsqIGN5ez92z+l0+2PM9izmfckPG2OHMzm0/xVNfPg6Prf3q39ROGM7nsafMItKX\n/y6Pe7kO/egDzdq2+F5ah4Y742Vt+kS6tkJ2lpKzcoFsVyDlAqEj7h66x9IQvLFB4PQevj7Qm2Nh\n/mBeLFdEMrjRskDiMizt13WGyHyQdqkrC+L4C9bIHhtjpZxO7VxkjSF/Xg6PThKVnbtDN53PY6tv\n/T7/GD31q4nmZ9+03+2/c6w71235H9/D31806/ymTMt2BVIukjEq49IEvogTm8yfy3gnzPHuojMA\nhwAAIABJREFUeltqgQwZ8l6pDSzt5f2eldNzQuDWlIBMoKTbqzYWtegoB13HmMVcHmNrbtH1zCH6\nOzhJ9HwmzfNpHYk/y+N8lnljOOr4oWDH+2tpN7lvHt+pyehnutM+NyPOcaEc3liOVMqUbFcgZaN4\nIwB9oUKi4n4R52HsFoalIjOU+xK72Ni5HxKcfCy6uLNx/ta2lfN8F3bpo2QQaMQgwohKY2zNLboR\nQnNIEI7D2PareA6jjh4yMZfa5ftGDoqwuTkGOv653OpDITk+MnpKmGxXIMUpkfBi7LM4dr50FPtB\naBxh7BGGLUU6y4HXK3ax93E/OGIgl5v/W9UTQS9k3evDzX4OsuAKaH3lfOLbVTaAVnTMUq82taqT\nrmlkiEJ/ZGSDdkqw+49GPebHnHyhYj2v6M0DmeZZKtsVSHGIZhztcGkMsqDndHki4OPzcbEYF6Tx\nuZhucztfxudZuR/PXT1qYmDPC6lhcA1yt6MXeMRM7dbA8vQ/w8LtieB97+CcOyR95j/ozLJOaG1B\nzx8e/eHew4/BV/EZY5vVTtsM9whBhT6RfZApoOWyXYEUh8gGwxrZx0TAYzRVSgQxdNwp4If2Iw2S\nzrnpzwCpF9UWTh6fRS+IUX2H84UoY8R9v0cM+t/Lzun1c8gXwetjS0NJel5GzC4j6/jgjTO2zRdN\nf9gcnqs5KPQJ0iiPaAd6+JvJdgVSjCJB+hLhjn/e/HY5Opqa31I7clpiDJt2tL1dL8o5qdNV+u4k\nGXL3Gy8E4kfax2ZA+oW7P9E1Pups+wQ5Et4Xwevj34aS4PwpD1fMfjJu5NiT3uOtl2c8y2NgPEEa\n5RFFrJ0pomxXIMUgEqRvgVzp5+I7Tcbfx5PJ1sLu9MIUpRdF+LUuZGgfyAs2dtR7ZPs8fq+RMGOj\nznHs65wNbwSP8jPwPlozxvV3+09HltuiX0uiT4Gm0BhvqtPXBtoJySlhsl2BFIPI0Ugf9fq2JHoW\nzRWR/Er4dBVs3tanJfxGwdL2PrTf/zNrVPq6ts/rHYjobbO1yM6C3RFH0xVeHsa1KYJo4yo7EBHI\nJ4f69ByuI22n30puRbAib+lOUWW7AikG0SFbf9TbPsfDa5AiDo6TwEf48ZGXHOnZnkWnA9p6tudW\nXEmooxdsqyPmSz3IRsp/rw8+L3gHaLYPvOmKGccmcsyvFs/aYUsdImcw1bvg2t1+vuCr/81/lh4d\nvap9f0PZrkCKUfhtcTGLHb8I+Bc8mZPAR/gR+flIx2AkVvbkT8mAYYt3hGGhUyw+OBpPTxxble07\nfmLmxaEnfzv2LGLh1R8nnkaRP/fsLmnbRyfI+x0GKaX5pbQI2idofmJ9dzj7x7/nT/VNEWW7AikG\nGc8YaXOtcVCqvivD8gyZk1Cqyc7xBaSzCmS9ImF0nfzJ73Y526CO7tuL2Xijb+Gs0ATemOhRMva1\nU8Ab8cjI3po2eXy/hue9tydbnTw0BdSPD+8BZPGcMLQ9JAdR19NHoB3R2GO338hH8nHBXsvjTKI6\nmPrXsjZN+Ue2K5ACyjlRShmh+5jTO/l324w8n9KhHBaZIyHlfBG9YlNF+gmcMtTfn2nRHmgnG33k\ndM1jUcbRA1lfFA3pt+mu59p40iarOB8Ir0H72+i0y/rJ/VY7w6XMOjy8DuOhjJY2ltFazJnm+Vb/\nItuTC3bkZ1PXc6RzcoFsVyAFlHEBqxcfyiBJC6KVHGi970bnGpw6aJGldAS+5QK3+Kjd6vy03z+c\nj7ONZKNvOV1z/A2lq2YItPq1bRHjBPrmAxZ9r9CTRr1040r/7qUgBGIMOewPBox1HMeAqXbQ8S3b\nVhRMHgct34pCpCwoIu005nH3F8p2BVJAGY0bFTUcCxCHYMhRtvx+lA9CvWOGQ0Ifga/9/iqSoN3Z\n44362G+oU9iTRLH0CoZAYfVD+2HkXHh5TV4+SBxhmm7DfxWuTWW+0mv1XxkRtSGHtYGWnFHrOO6N\n98HJqh3siDtyLGP/hRhr9W4yKkWrrT19G6ZzcqFsVyDFIPTiThm0Mfoerzo/P4vTb03u2wLLnu2E\nR0oz/RD5HG0BlWF9OzoWaeSxfujRhbk+mnWeIsYK7Ry2TuLIkeijedtJtjbk8BhDEuKE80ZoHV4L\nQkK180osY8xz9o3e772T49UzxSXbFUiZlHOCSPyFY/GoHZR4OD6ChGirM3fC4xquwfnu3uhGweba\nwVHxTpcPAcL0oB3W+t94NBvXXz1yMD9W6LRmf81Bj3a2zqQ1VYk5qxRJu33H47svxRO00OgYsgU/\ncvx6uTt4MCWjg+sCoZR0UH4ZoeHI+qTZPuJZYQzWOQbnO9529RgXiJWcCC+R1VY/ajG0wdPrxtkc\nCZKPYOmFfjZC1aN6/cZgLL3JOQA8RwJ9B43A0DdQS0ZTd+ZL8V5RoaV3Vq0NljQMzx/jU95ye65f\n735z2a5ASqBoN59SrPvY919xzgVHFu6j0lVpGB+RNb5t90Ru1j7GOCjSDqM5tApB9aR5w/O5qDoh\nyIVV/zr9Uo/1Y+x97XSzGc1xPK92BFetDRqfhOvHHvnq06pSaizv4lks2xVICRRtwlyHcMRG9uPi\nwm23jk2/cNGTFZqPb9u4XL9dh97JnU9xYejDv4vHubYRSqnUBIVc9WNMdha9/TGmX46xXu8AK6V1\n0O1jUtNvBkFqf7+Pr8E7wbLjr6+pyUFZKNsVSHGINf98fvZzevy0kaiNFcfSn0OLMEfgeiRjB1fl\nfHa/tTQmxaWjD+O27Nm20t5P/17j1awinZdSp2bp9IROpkY+945xug/38TT4lA7nQElIHsdBSedk\noWxXIMUo87sOfM5NfB0sxEzP9ec+gzbquBeRsrahhfxn7Y/RYP635fXn0SorsXcWSeMN3brUBZ9+\n8aISGldE7nPPPNozR5DUnNzecl8mQfYS2a5AilG8Ex6LqtZPOM97kBwzVU89YkLa4qVw51Jcw7mx\npgUw8p+nPx7P7nd8vLD1x/gnVj4Jf8HkTNvaUQW6XtF9at1irz+PQmW0PveP8R2oLc0t4Z05y7hE\n06wpIbJdgRSj+HPM9W9Ggxsx4bBctZXE53ecvJCzZRGf4xdISNYsSiaT/+b647Vwu8X4OkhnoOBX\nNbTn+Xwv9Y3ReNtQkXWMcy4bQW3c4Tty/GOLcjKRPvchUJbgIqKt2zY7HPT+ELmzLe0pLG4MZ5pn\ngWxXIMUhdliX2+pYb5mbPbQLm+hWZCM6UsFJk76zIfA249sqxlnst19yd/R4HF55txhdB+4MFHo8\nyv1Xn+dDbamXDPTYtvTf7CiL1K8ePpNnHGDByOFkrjWu6/lQlMPRr3XHf+kdd5Y2prlwyUFZKNsV\nSAmWHhIeuRT85Xx2mLuG2y13x+DIRjREbCNNrlnEETJe61zIMDz/nv4+lvl+l9rQxtXQxyP/7peu\nTrWTI++qofXq/+ZDWSRjp4072knyOI96MOLpc9841x1Z/Rk0AsPPobrN+nHfI3/9Lh15m/WOdNVv\nLtsVSAmU8ebfP7oJ1efvI7bf1gbGbtDPhVI7i8LHD/B+x/peW/sh9/B86BZZmtCop4qk8zJmoXsp\nHTE6CrXz3DrONkdsTDPVY1DnHtD/fi7SsfBjaunD0Ha6E6KlXmSnzz62bM5f5Bw4x0PtEHg4R/0z\nkFurjxRnjbQdXDLKqanPmpGJw1c4din/yHYFUhzC57n7m3/7i8s+kr/VjZwUvfTnkHh3FHztFiKv\n0ZSj3Pv0VW8kKaM43har1ZdOub3+WISfy8Ow0k4LMh74emopHZrcOqI82CVzbWQtITVaOo3iLHwm\nnlEbvDplMN92s7/lHTDauEfNJ1sqrd2OjgUSPRcMD1zacXDcFYSct1OKThxOJ+Ui2a5AilHkPPd4\n8y+9+PYLKve83shx0Yt3Qe4XhlJO44bvCKGf548ar+ir8bscqiLtkqFy4scz+pTb8Vl/YWTbVl4n\nT0/pcNHrm6I5Yn1/Y4jI8V2N+8GNQepm8GMO4VvYW0cqHrmT5+9cikVOWWnOi3Ti8idojI2pztqp\n0Mm3aDAmcc50pHB/EPQLy3YFUoyi8xcoDgp/mJScWukX7zO69aElEiRO3QTLMe1pnsFp0P1R4xV9\nZWsjS1qgT0PUUWs9Bg75Vn1+jBe/UeMdBRqqbx0ObbtyXU/ZQLTP1tIutREshH4UMmThMdX1jt32\nrY2xWc6EnEbRCaNtP/TzXE8/tW3Rrz11u2Komz526/lCE//vFgT94rJdgRSjYPyFlrlPw96c4eh/\np0e3us6Ug9FHw7QjRf+d+97xjnHxQyKu83sx8K3NkM2kBWruRG1oD15FbRxavgcdHdouXtN1lJCe\nYzxKzln/e94wymkvri69U1br119IiXNDaHRGnkc64kMhSZIDNjee+RSl7W6ocR7zFydqbUG3q5dI\n3rdn3/f9OpNE2QtluwIpDpH5C9w2YoqboO+80aJbTqf2s36h4fL3En+gPdJ7dNK4NqgdOBlZkRyp\nqL7S3znLE/hTaJcDXkf7CYlsNTSgXtTriBcZd/U76uiWN4xIHcb5IyFR5Ye+tvNW2uce9T70oi8t\npHXpUxpc3fGzZKKEdyC5cWNLDfNtQe3ksgdPVApbXqt8xOUUt2xXICVAHhPmKzRhZfIad4T8nJEd\nCWtohEjD65RO0uI3Rlxo23wR6jSf4qLfOcsToBAF+TZfup/ska08Jj4UadyN7UQ5nMeBW4exppA0\nZCfNOFbHcdeftTLjQNK6cuNC5j3U6KB/3ODzGuHMWI+Ij5g3R0rGT6ynU9j9Tsj5ICXFLdsVSAkQ\nCT04v0Plgz93f/cSJG1RK76Y2eBUGv4+/r924Ohnte/7VjiHxs4TkIiM0ZfZzTlALdKGcl8wNIYb\nd3w7UUaZI67WES5/PDw2VnvkI2K7LpKa5VAVbn7jc8MyJv1j/FpDPt6szQUR0tzpU9j45Y+JpCyX\n7QqkBIgGnaKpC280b3ck8PtF8AhT4iHgxM8xV17KsU2R/hxxyHBeAa+TZkz6PDpGEvW8D9MZu+BR\nHn/cNmINWdMQEro9+Hb0OcnaZ+i45Ob3jIHUx+R1ZFBvPSQdeSeWmjttGgcPGHAHLsUl2xVICRJ5\nYex3dzwzz/ATwHA4OJpzQR0INi78NiNDny6pRe5SHeeiXSs3pN8tY4XVY4yTbUzwzoPF6aKRG91B\nl1EuKc0gE3T1cYwSkmfnTJ/6s+xuWrcjbqZu+Dg4RA8m0HEbcUpuiirbFUiZENwA1Dn17+JkioIt\nr+NccAeCtQt/RO5bity1Os5Fu5ix0Lg2EZwCDjb3R8E+54FD4WjkBknraNG4tlvo0AdF6vB5MDNn\nOKeVH+O1s7jeCM+vB0jqkw8mkGdhbZppngWyXYEUp9iitWu3xtEGxc5BaZ/HR88j/B2/4FnacQUS\nhV3Qpx1spY8XKW/PI0jy/TdS/TDnQdoGPL5vfAfCmZHQm9HAj3pTp/PyzptljEgpXFva7NBVOlG6\nfo/vagyLs2prB2+QgSAilvX0uvTXby7bFUhxinWSWHgf8br1C53MjB+5ALyzM35/1jmQFykc7re3\nt5xmsOTGqUOz9DSfznXhYPP+SgX84C091UA5CDhSIfWbhgKNfKPzfaMz2N8HpDuG6Fhq+7WfR9p4\n7fWUDkSkyLj9HU5zfCm0b9DnxiG+FkTrbRmP7k+y7ALZrkCKUyw54ihClz9FYJ38fRSnp1Xa3/uu\nQfdGRggvJuL9c2kiPc2nv186+VeH0UcH5zh7QjLUvTPSIxXyDbR4n2l39FCoVD02ud1z1kBCcsi1\n9KbkGPZbncvwu7Z/+ysRqEBjPHtlFbqAcYv8HBlbAFA72b65ngLJdgVSJgTfBTBjeHkkA/8ttnOC\n05VOK1C7M3wLlpR+wqI7hBeD5raxM0vsY8WT5qCchgMZopwHzXnk7zyh26Lv9/4MnfGcGhTW152x\n/vPxgDusvaw73DT0sR+fWp9S87A/1p8iI1NzrkdY/i79PPPMIWyOeblFlnRTxFzPdE+gbFcgxSGj\nQdXIk7NbTaWrynsHgYPRkZw3Dfk//v6JWLipiM4D/ffoh+zwIBwH3qjsy23jUDp38zDVX55xRR/S\nJrdFfwfOeBotz5HhUnX92ThYSk0b83R7oqkcDX2kyLocZ4rqL2keU/OACzSOdhvThZagwZICQ+Yd\n+mz/HNLmeqZ5AmW7AilGaSfdaxlP6JQiUgvBjILjKceBN8Q2TgPl9NT/7R2x47n9IV61AaO3qSI6\nPD7reRsfimy8qcXUkt66x2LH9wsHs9vSTrijNKJJMtrFcWS0dBb9PdSpxuYqZXx1wzyDqtH9xZGB\nsXH6cFz+VbR0ITK/9DWgDz6oAxjt6ws+RiXH8rnTIzkoC2S7AilGaSOgUh6GuHcMIkhjFBzfR2/9\nAtAvhhZOAxWlctEyf+nYYwGtI/QPRUKZJJh+5G0cz8VPFrVwhc5671vszvdTRgxDP+TnYuiDB75v\n+/L47ddC8VzofkEQINxJk51flG80Y2Tx02vxdNHxnT7149vRxuvIzfHeafGtL/oYldaMeGQmhZTt\nCqQYpJ04pbSOA5Xy0HcM6O/j7+p5/P/hPPSOErajBl/cez0kp6Je2P4m2osyBtQNu1xKQb+JtX2+\nnh7j2/86Z4WLWsfPbNfb84ZNin69aUnq3hsJ9bIRqke9JCREcsD/+DE2Dx3fCf1gawdpDMlOk5W3\n80nsQ/y5HCryrYwBQd+v8kWm6Bwakek6CGzTWKtTsSn/yHYFUgwyGl9qkRyj+xmPv40qOMLet+pv\nLbPfa2RpQ6Dn3tvf1eiHHCnr6SadEKnXpdZBZv9LzkLceOrblN+KzHFCuL5o261H/Y5n2BASvS6c\nUZ8zKNLYw5GQvm2+dO3xUWhr3640ui9mtuH3Dnu8oR5Tb19Ke0M31cev/8wf/3rT1+Wv0joo75l2\nsDuNKbBsVyDFIJyR5B0Xajukd4GmHKDe6PDH6Pvqa4l+KAPSG3g/FG3Rh34+tV1aMmy8MxrTphSB\nsk9pcYtyjYL8UcYzIShnoT+Hw4cM4Ijb3H1E9Niv6yc/G09flfJw8CWirN8Aavrbn9enUL3tKp0E\n3KeWa5TkIO9yqTafU9+2+bH9nU9n7k7F/iayXYEUo9ARmXbSZB+9W1M9nLH8XNqF9jRqV01glGzo\nbduI79J91KMqL53ux+d1imouSpV5PTyBsv1971jVkebxHImb1JMLcXTAm06ZGY+048MZfN7548fC\nl0GvSI6DFeWwp3ns6M7DyaiJv+8IHQ7noN9aTp3ZcsynOae+vR35tWgHSqYsl+0KpASJj8thOSek\n/l2/CLeHdEVHbbJusfA9/hs8UqMIoo+/96mPHqqm2zeurcYIsXcaKN35XP1r9ZvaANGOg9W59KRT\nZucS7fxTBlN2/uh3cNyYuNSJBY1BHKMIdOfBXSmVjEfv86lVPn1Mp3f7PkKdr1KsXKuUcNmuQEqw\nyAZFXzjp59W/5xbRmpOgR52xdfUtmN5I1RKp6VE/fXCZ1L7+9pJ5PbS+lJNUnxVTj42ac9Jvz8Z3\nuXBtFp/6oHTinOvaaRt1QJw/eRzJ6MBcPbExjjpGGucI0+cY819VHX3IZo+uoM7Xa6HmY8oW2a5A\nSqDwUTdlULCFz7OIolEnXwcr615HMSx1038nR2qWd3C57lVEPClSpfWtI8qxDjQS0DsonKFDtpj2\njsscYZQeO7XTiHAbqBuXdecPqb80D3xon2Xu+cbcrBMk6ehPzWnjWnK+5J1BKZfJdgVSAqU1DCVk\nwo+QPrZgIkRC+jex0R5eN9tiNEZqr0w7zGy1XsvjodEC7hRcPs1EGx2sXVunw5Y2jJkn/W4l35Hq\n3v7yO+Qo2uc9C8RSB5yEz/HlaFQqss8tqa7rLlZNEWW7AimB8pjs/Zkf9ihgjD5q8phvocAiSjyS\nismFj+krO5z8QW2bXQ6I9i45xcJzUMZnvyvtvTj46ZptH/SESCltOMPLqOfJiPDQKNOaO5LwftPr\nr4+zuPHWPvNzsRx4R6NuFCoVm+bE1qA4pyhlWrYrkBIo40LqSXtQcPY1F2JhkdT8mQfn+3pSXH+c\nP3KMuW+XzZUL4UpOR7sj41vpd2TY+uBwFJG04YyhsqIKtKH0cSNmOFK8zhiPIwqNsBGCsTalHC5u\na/vKuRLnCKdMy3YFUgLFG2W10VDvjLwSCwSyY8X3HTp67a+Jj2HX0yRVFKru02nWvP36hRCJvmm0\nxGJEP1ZtUEp94BjeB63hRMfGfNugt0xzhtLqzFrTM33qRLobxnKuzlyaanyW/foDW9p3bYDkSUen\nXCLbFUgJlHNy4XdI0Hn/47/UHTha7lbexmzjmdTf/VZaZyBmkRpJqhiUP6YJbPCzlZuikVv1dkbe\n5TGib7o286bark2B8XNBco56Q4k6s3oqjddPOwG5nnMST8h61440f3uOETIW/f270mlAx8GV6diU\nf2S7AinBIhHWdAZ9Kb0zYiM70ltm2+9ZdhX03/2rnBFb9CL1nmw7fnG1RIC0Y4EZqOP59XHf8jH5\ndNtpJ+la+D8URymWVLg6BUa3j9amHIFYmxv4pX2WeULPuU/KmPKNgbOfa2deTyFH9eMqBwFv53Vj\nMYWV7QqkBItkOOmFkoOvsUj9fDbF5/DtauG/qxNS/e1GRaxIXt+CYtSOxauo/7hw1mjNJ2BRtfIs\n0J0UunMU0x9zKTC9b/r6YmkEb0psdOo0ZwBBPPo5118lYOsbeQwcF/MVVucV/bha2jq/AO18vzr8\nwrJdgZQFIrH2qc80lj+Sr0cm+qgDurDX0W3Mse/jeyh0afYOI4pcWRsUnksztme768SD3uDjRttJ\nsX6xnoH10V1n49iqU5sx43emfjYnSz5eANeLQsuOd9TPx1BMu6N8fSpFS00nL2WbbFcgZZFI0T+/\nq4MyUMdiT/NaxnfGnwPROgrUZYgrDIZ9+6T+TNtJlXXqhE4RrF/I6Xdfs1h7uA0npwht494Bq7dL\nz3GoIsa+9P12B9W/f0h9s7gH2ZGQnkOkw/e4PtEJyWjbRo99PM2THJSLZbsCKYvEzkXhyGL1Yj8+\na05HlJT3uXr/t1LnvlcZjChYlzYA+kmVdGol+gyLGcNI3UTrI0tiOrTv5J3s3qBqaIjtKoir4H4Z\nyTjmZ7+D6r8WJH0oj7H+HXX7HPWmCeTj854LwrextO0KTksiJLeV7QqkLBAt+qejYpRAGzeBESIn\nrYN0J1CU87TyqHkkmlxVL97xwdAsCX3jDceMYaFuv+Xap+03NA1RGyu5z68wZrQzQs3PegfVt+Fz\nqZ70GJOuGNBTe+3zaqQT3S5t5d340A4+GEuE5GayXYGUBYIsCONixRFo112eNb6TMnz11ulRj5UG\nQ+Pm+J6HGenZevF8on6Br3Pv+qLNOwYa6dPvcI1IwbFThW6fOaQGddJW7Cg5nss5I/387McTP15o\no4yn7+zOW8sV0+Y52raaHhgqm6TXn0S2K5ASIG1UTqEnqFHk8sct4TA2/8svymP9uFNGbakFO0nX\nF/mPz7ItjN62lvlH9QL/V6dP79RKDmPbD2OqxLctm65Pf9ZK/Rz7ackx43WFcyI7GzoCwiNzvGOJ\nzw3MeTtScZQzJc/ziD7AEBbEyUk05QayXYGUSRkdEuo+k6gFQSPe6pOaj+znDi7T24fPs8u/j4u2\nUP7J/JjQ0AzucK+6XTSHkepDbTdEBAdlX/TrdVYxw447G5Y54/mutz4cB2WVHjP1xOuQZ55slO0K\npEzKyNE4Ilgdtp17Vx+F6ZMa4yl4nA7LeSI2hy2q/VqdMRKjv5+0CLFPAY53y2iIiGV8rK3b2mh3\nljiNzw37OOv5TCtJykh90Pa5ss/sv830z41kuwIpk9JyNI6UTht9eZAH+V099IwuTFE7YzSEQGbo\n2w0BflIqx1uhHaUITgsGx48omL59Grm6ABsfGDEYqaecCsFvksb7sHeGrGMHH/NzqcceGYzb9YXW\n52rncYXQ62miKJtkuwIpAXIaAPm47gj4kuapWGBV/7X1yG4LhKFviTRtaE393a+dDrE3s/r1wm+f\n9SMG1PZY34JPpw043gzlqFraqHdK+nSpnTDtSTn4UkLcJZ9xBvbUi68P3Y4vheMKcQ79apGd+7kD\nGlPCZLsCKYGiIwvr4EvfomrZyUFFjMguFc8R6ZJBRA16GX7zeHbMSay2yFzaubOWtzC2yffy9PQ8\nVU+NTGptI9mBm+cMYQ4xjwpRRlxGBnEnFNe/D35kcjLd762zxDv0a4nPeqo5z0W5iWxXICVQdO4B\nBcH6ofdo/eTfosZmdnuuZhB5FIZHSexoU2RbjsbLmkqYTc3UW9X5U0jReqJog5xyktJvLfrAkylj\n5o2MClFH8feOC5XKlceGj+/1vdOL74PH3+u7e8Z5Szv09fkp++55+hnTU7+gbFcgJVAQh0PmIkRf\nvocv7HqUueauH/k9o0E8n09HYAhkHeUg2J6D80kiOEtjG/mRiHknqTemvZNu404gqSO7A8AdC8Ch\ncjKHSR83sv7nd+v3184Dj/i073ktFN9pTBcdzhd911asQziXak65TLYrkBIkeArkmOjU7p/rjrD3\nfN9K2rTrfBgxmRR7VQTm5QzREa0n3cEbH12H/n1zSF2Mo3RwIcZ2sDl7WirV4gxSiF3v5B769yiL\nbw5Y+mZ03vq1o9eL4gH1pP2+fZ67uvY3isc5hJa5gIzFRFqWynYFUoJEg6kf36GMj/8yPFwXbSuv\ndxeQ5ETMEGG1xXD+NMtRD79T0T6PNo4IMkS/07eQx6WyKP6D11EqP9pmTi+dpF2nNuR2k9NQ9d8/\ndfWw90mrI3fwnW78R53x9tTah3IgdYewd0J9u830OWpfK1KmZLsCKUGCkOToyEmKnrxRq3UBwO5P\n4Tke+m6lESGpUw74zhCkbXxoxVgftF3a50mLv747STM+V/FXxvahoX/tfSMX4nt5evq6V0+AAAAg\nAElEQVQgjntEdz5VSTlENXKAXbIoc6GOv/vSExFOqAVFaL/Ltw89/vTL/OhnIqit54Zl+1qR4pbt\nCqQEikaSs+Ta6YnpOUsC3Y7ZOw1vyec8/i3vhKEdsbou4/1C3oiQrgu6tZTjF7xX24Vua33nBN9G\nkiMjOzUR41Vvn5r/YONVPPr/e/Wcddvx277/q7TOSXvhoXUMIWPfNz4l469zqqR+pYOFOpDCAiN5\nreqdUAS1RdPKkqM4v1akiLJdgRSDRESv7YIjLdKccYiFMU99KGgXjfI1CLpf1Gsj/lJaQ4xFVrN9\nxZME24XOBm/XC6aMOHhSMLO5e1lvJJUmtSe/HZx+jsXBtXIUxjTbeOHhR9cYwtKLKDlXRkA0hA/r\nV25ex/I2Hs/Ets9b+lhLjSYHZalsVyAFlPjolSfKjcZTh9d9OtTowNfS82GwKJ9zYnruAnXnTA8v\ne7gj3p0l/SLOGQkLvF33o+582FGuldcm0E4houPZnjyfqjUq1u34EVvV+wsP453fcVzNnSYrIXxY\niotCHNYZcnsAV/eHNAcpFPd9sZwwneKS7QqkgBIZvT6eJ8G8vfGMX2DOiKeQCyCto43vMX523DnD\ncQE83BG7s2jtSx3eHttoVWTHL9azPKXr2lNvUx1Fk1IfHHdotUEb22Fux5vE+eLTaRLicB+0gUaI\ndZSorfvxez1ll+KS7QqkgBIZvZ7PPBZiLgWyEpLto7O/q8mO3ZI8Ij1tu/CLJb646rrXDhUKr8f2\n5a5Ibt5R899QbEFE0OegdUJSHxR3KGIe4c4qdposnorkiK41+iU5bdegk7Zxc+hzIMSl6O1FoUql\nICm7FLNsVyAFFHzh9BJTqRTIOki2XSC+OA1Uj/TohDs9beS75t5qrP3IA2ZQr4hWaTjfwoHgEBTr\nb33Gn36O7ixJqQ++bfxbpSV9pfGho48+B5NHv6SddWvQSXtap372kQKj9JcctiM1dDg2cym7FFa2\nK5ACip0siUzsfjfLkQKZJ+NidcIXU2t78L9Dz52wLYzRKTj+nbpBjeYr4W1piZJ7vT+UGgWSkYKY\ntua5Ipph91xp0O8k+mCeN5Gpwdl2PJ/NOWv94Wxz6CQ6Hzzt93BUPg06Y8/4l9rOKW7ZrkAKKHay\npLZ41QtmKdrx8fQz4gzhlYRNGoKe3bmx/oIx3hlpj5G3RatRKYdjpwpqXCQOyjtxXEW19Qx/B+FV\njGmR2kGx80PiU4MRl0FyztrYf1i7Wu6Ysq55EvKJXfkx45SnmGW7AikG0RdD/H6JccH0nKewHjXQ\n2yPmssOYxXptJDX2cW3Iz8OpZKKiDzGS9aq31eow+dheFJlZS7PMtTXNrVjJfbDzQ7QxFkE+jWnH\nHimadfbnuFyo0/j4d48AIQ69xMfJw9oCZbsCKUbhJl9ENME9n3/netRAb4u46MUWOV8P5yKGnDe8\nfdQXlSY5EJzS6WVBtCiHSnawoscNOpZ2pTTlOlCnEF8zTr1psrj3zznep67ylR8812vvGviLy3YF\nUgwiTT4fj0Of3NqE32nUPUZ2Rt+rHaKxfzRDzi2isUaEjyBLObbV2lN2kkMlp3wixg0ylnamNOU6\nlDI6qZieswgSH+js2lnmXRO0az80cn1yUBbIdgVSDKJPkrkIkI7QI+Ba36KuG3DPpV+yLu132js9\nIqFrzPGjnA3uGX8V/qbe+bNSWmSGc4peCL2wPpdh8/nj3bVxg5Fj51GnKGPGcz9wLtDYT5b1g3ds\ndvIyrKlubb61n7dcr6vq9BvLdgVSDCItopiHr03CGu4s5YQ8WwNk09m72wZ1Js7dH7pDg0TJfWR6\n3o5qI/Bpi7Z8BLhP12/C+MD4CnyKrx4DvN74WJTPyBj/jR9jjo8vLJWJzL+ZMY3qQo+pPq1HOS3o\nfLAgSPYtxTIy6UPbPHPcujZIQUvKUtmuQIpR+ElO31syTi5tEfpQzkPTju99KNSuAyxd4lvUtYXm\nrNeRO/6TXPytujy+M14meH6uQ9e0gaXSCppRRnT9q9K1lMd2SYkgKDmo4x0ydF/IzoKM2FAGWnLW\neufIhsYgf4+Yf94xjaZV+b9xjuH38pjHhzOs9dMrMN74tNLYRu0YkZ0zed7axvBMqptz7pMIu0m2\nK5ASKGcutZ5oH0qLiNQwJRfJ9ggKtrDKesXkts/P+8Xyb2gRwZyqHs7FEKjztz3ETt+PoyEmCD/g\n8fdvBTkwSo8S6Rthx77Q+51GAKRxRJMU6XSPzTmU/h45Zj1jmm4TymHrvzce/NY+v5S2L7nx2p94\ny99a3qZP/l3qetDt/1fV/hyqYjP+GLJoTV3W7TjWnybSJopygWxXICVIzklJLej9VfP0qZacMUAX\n1nV1kqK/etGwRU7Yu+X0xvib47vcmRBINNs6jxjyoRMS8RRhKfRFipyhRI0BNY76A8yehd8gd6XM\nG0KpvWcdFzotQ20d7y/OpMYHVc/DQaaObx/7ytYuurNIj6PeeTrHnp1HFn0WDFb/MdB7nnpvCiTb\nFUgJkHFB7Y2A5lzwjkj7jtpo7o8qxpTE3O2tY5tSBplOb9DIiY1kTCNgdHqI1xc9e0RKEfJco9Gg\n4qgEPY7eF+08HrptOUOCG0K+LSTjLzmKlj44ntOnXfl6toia5NBaDk+z8KqQ83XeFB6J86feEDTR\nN88tJ9yO43QF0pbyj2xXICVAtKiWdy76BYy/cpx+L71r5Px87eS1w8MeA0IhIBLJ82jPY7utNUKk\nIH8t3SXD1LPOi6zfHIqGGwg/QZn6u4yScE4OSqSUnbURNXopCBI4zmPaoW2/yznavm2ySBtSHBT+\nWTQCx78H4yHZxqCPS2dNG6aYZbsCKQEyRrU6L2CMSr9XEw1DInTEZT7a9L6frru+mPAckt4QnE7A\nuPh/ad5jMwCe0zF7cmT/7rhFVOaj+HZhRDpQeD20XVQUh8a3i47ur9pB+USMN8kJrp0BNEURf6DY\njNNDc4+O8UrNtTFtNKu/dZyN41YO0FKmZbsCKQGiLVJ86qBetL5Xv8d37Fhh8vM3MUYTN25omqRH\nQo5oSXICYo4xt9bp/D7Xj3Lk7H2nBW6nnZH4qNNHjOyNI+rAUg7EbKpE/i3H1UGDE8+4so27GlXQ\nnc+Rq3I4Ztw4ptNG0ePENg76MZRpnmDZrkBKgOBIxvdhgp8TljewyKSV00j+aHOuXaScPeVo9ZHs\nR6Y+UjvqBmNF6mvsx8NgIMZvldPQ7xA5jPt8qqH9DZ3m4H9DpdEw8q+cGpp13KTvcxyIa+YSNsf6\ntulPAH5XxvlYG3gpCJh3BpBUERbs4Y5/ypRsVyDFKePCwC2ofaRSCmU42+f1Rg6ZtOOizUdPnhNg\nbZcC6ovl2+7ZxwJY2EWwdQJocjDXVq0DE+8MUP0o/Y0fI/NOw/m7/jyZup3bNqb7i0tpUW05Oo28\nbshJspwTYkXi5LrY2nN0fBEU4yoZ2+ZTN6daZLaf12Ndjr/7nYF2XevXwvqCTX79O5/Vk/LxNSzF\nJdsVSHHIuADyBk+L/PnnY2jI43P7AmLjHfAOAf+7XifuYr2+bZD2kVAAjUynH5Z3/XiyHayGPbM3\nBi/iOBk/O9qpjXT5tqwjbm+aCiGU8rtn+Lq0KBLehpxx5Z1Iqs+ucFhOZ6N2ovq0lC/V6OXPUAcP\nUqkixKGkfxtzk3oKK9sVSHFIu1jpB5Rx8L/tnRJJ04OIoHwBKleNOEB6nn+ElDEIGUsX1Q6eZLCi\n+ABzRog2DDbHk06pSTwPzgjVacZS2khXaksv8bY36Ej/8mml9vc+h5Q2mv15KVR9e+e519OG5iBp\nKwnJ4gMpaxrP5ijLzkh/yi2CilHoSzomi2W7AikOGRd/5N4Ne5rEppPfIEjPog1dzG6R0RDVcLON\nQ4D1V20EvWkTGy/C018I3I30q7ZTRn4veqotl9LC2kNPydnTYt42lJ//r+7ftZH9o5yO2tfC8zps\naA6K1PLckf60ZO+49yC0vENhRYjH79jvJEtxyXYFUpwyLv4f2cVglvcQCRF7+CwrnKsR1vcZOLS9\nZh0eSSeLkdWjfw7uthps+nh/Wxv28DzqPOIGDTNOc2kHz/xpn/+1+29PZP9SWo7ZWe8ZNGdsR3/a\nK64tsHFkdShm5l/KMtmuQIpT6EiSi3b8+/XneAjUwv6u0+Vd9xtfRGtrO7lOnoiNfzZ/t4mljTFe\nRB05j6RgCYqX3oPpJ5FM9Tag+rh1IrX3U6gbZtB0VKc2dHHH3mPvpk4nrp23L9XnpTzuZWrr7UVz\n5D7FjhtAx3kkYhnZP8j8S1km2xVImRCZRNcbGW8k65uY3GL0WGBLJR+J32E3ofrbTUNx/NExD3fz\nZEUsB67xIihErUc0PjG6ycgAOgbO+nkgeTtCJP02yuDRqQJs/EVE5XIgcjgj9enFqLOFzaOIFI3U\njxqidxfxpupSpmS7AilBIkc743kUvufixDAeCXlTWrIfl1o5o9Xo6MUL69Pf6Y0Ht2sKJVX2DgNm\nIGjHoh8P/TZq7Zhxb+T9tqCHh2njBekv6/iwcVR4PoznHXJQoe9sGR2m47fIZZF7UQDZ2eJ3GFoc\no1Xf9Xw/ZVq2K5ASKLQxOxCJYl6YzmfYHRzZ6NK378pOjT160aPJWXheS0fVOuOkyradxlN90frS\niEb5YQw+KAaU46JYd16hBn3m2gSrA+VxaPS7ZbR30A6tbVy3dT2ejzqB9M4q7/j3zRnO2eLItRZn\nMv676ZRsle0KpDjFD1H/BS6E9QSmblxdEaFgSALePvICNA9Z49uNfShE1PHePQrwvejnwvjPa7GQ\nJpH+wFJglsjZtk08aizzTouHW4Hd7jz+Nub+mDj+TX9uiv/cIIvjiY8pzOFJWSLbFUhxiETcG79b\nL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+ "text/plain": [ + "" ] }, "metadata": {}, @@ -102,14 +128,14 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, "outputs": [ { "data": { - "image/png": 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GLHoTxYJUXWB3pVZleyNtsUtSQ+nV5awG2Gvzfiq5ZAFzzrXtkhu/0jzw/Pxu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\n5a7nFeHsA1gU+mjOLMYji+dwOndEC09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OIzN647MUbV/DX0DrgH+OO7Igjn7Jfa45cTp3KTq3RgKPJMZeLtsVSAHFswj2kO0K8qZn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\nVn7dpztPAMXayEId19RfNuq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WeLde+vXU2kuOGs87k+6fm3Pd/L0OR7rla4mQH/W2LuVn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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -129,14 +155,14 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": 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jFXQnvo6P/7yPMfllupe/hxwCXuyjIxTY9Lhnkc5IbAcxTeVEwzrXAQdIa3JX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\nAABJRU5ErkJggg==\n", 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f5X8dcCfWS8n3VBrrYd9CCLHsUBVPE7CF8AiWG/ESlhTbie6k6y1U8QHpnIsW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IQQQgjROySgCCGEEKJ3SEARQgghRO+QgCKEEEKI3iEBRQghhBC9QwKKEEIIIXqHBBQhhBBC9A4J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\nt3iVFx61RD4AAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -146,7 +172,7 @@ "source": [ "right_triangle = ((0, 0), (0, 1), (1, 0))\n", "\n", - "show(random_points(right_triangle))" + "show(random_points(right_triangle, 10000))" ] }, { @@ -158,14 +184,14 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { - "image/png": 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JjpbnxL+plmUqCIqjkvBdpnpSMyhtx3/cnHyx5WgWjykpVCyqtZLxFHoeI33eG5Qdd2yw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\nx5bbsnP19vUax51oVnRROcuJ3tZVKu8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VvZVntdN1AaSTglf6FAC+if5+A7SSqWRA1dVDa1k4mZfPvgtLP34FrJNxFyVZ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\nS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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -182,27 +208,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "To clarify, let's try again, and with a different number of points:" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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PmnPkU+/JkTj5ACYgVqwI76sXt5CXzTF9XIp9yKM9ImhmefDwWLO6ZofkcZXu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\nR6Xcmz6Dc8lZTT6AM41pc7vHM3/ddXG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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "show(random_points(pentagon, 6000))" + "To clarify, let's try again with different numbers of points:" ] }, { @@ -212,9 +218,9 @@ "outputs": [ { "data": { - "image/png": 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HS58rAPgy3LMi8DP/Gpjjmy+vNxfopz/omlJ2zFnNlV8aWyZd2iL5aTuWzRdW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\n9AhrZQAAAABJRU5ErkJggg==\n", 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PlkJpb5A4b4a4PEyXkvKCJD0oKSmPKW2i6ZhXwa/Q/7CU8ldlXuV/u0w1SyzR89+WqVR9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\nxXkrE4DRVGrM+Op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eo7A0hj+S3dNaMY+lXM5tHXGJt+Pavj1Yr0RAP5Jzo0mYkR7t6hKr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\nRsg3aEdDONH4RZ6yG2jDesewX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WJ8MQ+PyoH9xuRGAwyzwLwxlwFvt16LinfJmwtQ/EZ5\nZDc7LZr29FcRW701bn+0psOdtJk3AvdEyvNZvKGiBduWZg55b8nUD1bJZ9fdiN+hWtAxA6D2Dm7D\nasCqiNuy5X0Dwv4bq6ZGyjED5Pa8Lay2y2htEuynr4LjwOcr9961BgAqf5v9gim8oziq8bo/vGw/\nymF/xzR5b4D597e/sz5tPXzFxYQ3F6D4jfK4q5nVHfHZEf4+X5GSt4WGCKZURh4B3WHPVyhjMsc7\ny/a6rzKlAdsdfHzMvd9Bj4QStCw/hjIi44cZEFEpeKvweGG0qH/GFaVPS/bvh2fh2HuXhR44jiOq\n0ovewn6Z9yVgZW5AWDmeTV9EVZz1vbJaL1hZ9jQPY/Gb480FKH6jvEwZi1Fuo9iJSOlEhsjcVFx/\n0u5p/TImhzdIMgwE8yTNP0iuDS3Jz+fnCij+Nyo+tmNv+zMHLdvMLzvmagxgCKZ33pAdg/n1Vbxh\ngh4ja1QwQ20UIMsMnyVp5Dbsp7JotpYP50WAcD83W7xTYUyKZ/DmAhS/YR53mc/LhJnuj8I8y5R0\nJG/m2l/y7mPhL3w3a8A9SoaHWP6eGFrKTyZm7xHv+PG6XoaSz+7JDQ1rGGFYCrFFD9IaPb1w4R20\naY0kVvodjYq4uGA+T9ZJy409i/EpxFGocDJo9O/jWXXFxcCbC1BcTLmn3MbaWK8o1DhmxipCniLb\nV9xxSmv8bkwpfHVtL+n3rD8z46enQOcYdnE2ia2fwnAjcXYV96ixFOHxonDeSLKyYlin9abMnXNz\nwjrj38kPmdKDs6w05v3BuSsyHQNRxknxbN5cgOJiyuvtDjNvwHj7I9d7BckzMWKQolW6PKU1erc2\nhJGdg5IrizlGRa/N8TDeiFwsC6at59L2wTcjY4RVwXf9AuP3LK3h8cvMNkWORlJ2X2aAjMy58fHo\nfye+YnNugLKQGwdwLx334jfNmwtQXEz5lN3hmMKLMQlL5Tleg8XlmJFwZ37/Iex01yXvnoXCRj1S\na+3KR8dijifLvx/iOqz3qpddxIGlk1dApJfq2+8/jiOJs63QGJw3FnO9gv5+TCf/RN9xje/2VFmL\n3wRvLkBxseMlgNX23nzhyzAJY3KNGD48S8ZXHeUGySk7Y3awHw8t8H4698629fzM95RxQywLR+Bv\n1jBtgaXHtvHAx3neuz5WiYWWMmNmdNxP8zoex8N6UJakyo8ZHmt5SIuvmjcXoLi44aXGw3T/3FDM\n+otjdDZKm/kg0sbuTwPN9q7NU0svpyC4Jwflmg9azvFGWfYQmx/rl1xv3xMPgvwudr6fFqbxIa75\nc3defZIlBuc5+rj46nhzAYqLG/Yx/DZ7oH9/v+w9C++s6TVgIRv/bk/DimCOMZF7EphC92mip717\nDnz1+JpbM179Sqijz45/sym1j+Fz5oc25oB8RdoS+jjf5xijrMDdvH48Ze73Dc6et7EwKMUhby5A\ncTFRnOOHn8XtYQiD/b9m2qwTD2+fi5kgrIroqOt+/GRZjquIQg7ckDptHO2z2xo0x2uyVOXlYz4u\n42kGMJ+3I2HFd+JToLXoWX6OT97XOs/Q0On3Y1RMbXl/ariyDI/iVXhzAYrfOMfgzdOKn/mFk/2/\nZoHkVUbnvwcDb6oiYWf+jO5yY9yIvzaqRWLTcvuAzuV97ivsRiBeDyzuV1Ad6y/mPTvdAPbjPTZ/\njvewomdalZgZ06MeGVuiPj7nZuqLD9IWZ1vWF3lorQyV4pN4cwGK3zjHB9+dtrjl6ZzMkLClvccK\nuMWxd2XM0GE8Bxg657wVlS2qH6LgUF9tN3vPvoyo9ET4QYrWULIGaX4a79jY47PWMYBzrAU/PLHX\nly1e6ZuRbyTtGmvf2HAP85jZZ9mDEIXKPm/cMZRXWTrFJ/PmAhS/cZ5TN+F4fbQYZlkTDIOCO3ld\nvK0s9zKv2BozfPQ5zIPSx394z0l+Ciz3tDDXvyrUB1C0mP0zB6DLjCF2DpI3riJg8fI5FXnPsK7J\nHCUcjfedRHOt3+aYNyee92OGFn+WPYSzl5o9D8uyFG9VXGx4cwGK3zh7T0esOPyiqWXCl+3U+h4Q\nVggszlaYjAObqvne/N2+Vx//ERs9fLGPr7fv9CxtSEJkAlX6sNM8gG6MlemFk9bMKsq9Z2sYXzHW\nImvTe08YHmZeFte4McSe9VvY53PHIzfg5oUzi4t/8uYCFBdLa5TEi5pfNPPKqfNkYEW6bLtjJ7Ou\nmWaZeSR4m1E4xxpMamDhbvoLlXvapY9l++SZNB9l8tigoj1fgbjYw3aK8TUyBtiPOH9GM4pON958\nqnXukeu9b25sWQNuPCxZXAy8uQDFxX8x92LYRT6qZ7HOgWRTVoPNuIkMlmgHPefY+15qqm3rXvpY\nkSjFmhVu+yCTi189Pa3cWdhqft+qoePHdbQ/lj1zXsZTdv8YNsQaHT8kNq4RH7TMmJ3TZxyX1PPI\nRaFTNLai0v9V76R4MW8uQHHxX9wuZtHOzu6MeThh2bPZonsjx5CIyBxDaC1FuzxTZK7LnxtcsUfm\n1KwqkdFMnTmYo954snvnKOH57xkZ12oAjhtIbZiQHV8wni59qtGQe4lyLNgp30Pxm+PNBSgubngO\neHHNhY8rbFbMbL6ynPfeWXn6NlPklGePhZjwms8rPc8e5JeFhKKwSN9w4OOZZyz1MEan9ut8gLdt\nBw/uey/c6JtzbMNYttqSuVNcvAJvLkBx8cm8hpEQu6jjhXzuLnvubj0GELP6JutWXp2uscW8Tqs6\ny70X8TusGxbRWiNC7+1n6Swr/b58PrIwjA/L9MJmuYy87y+9OSguDnhzAYqLT+I1FHXbVoZZ6AMD\nl8iZZfSsAfBcp2994bXT255/mu98jM/NT8ZicA/SejJGQl7Wu7fM+zDeP8w4ZYXY0Cs0ikeJjmNY\n73sqLj6RNxeguFhElsevL6GoJzlQYcxRlr3sDn76cdze+d3sHoPSyrgMoInenx7WaBkGxY+ZNbBE\nUAHnHjSWYYZHGazvUeDPxro11mAaMyz4nIsAtJV1U7wZby5AcTFV/tnf23svEw+fCwwclfMUhTBX\nec9Vol7myWswNjZMwWo79p2/kHc4fRffVikWaTOyfH/nISh21o22Mf8IgvnvYfvLF2eb583Da6Nz\nq04/cqC4+ATeXIDi4kT5j+INzh8Pnx9aGPMG9Xfuc7EPURhpFFw6muWSj02s3HXXzzwo84vD9eeV\nNUo+w7Pner2wwJ38fLe+vH28TQ+fpN6Ob8LCS/PmJ8uAs/LfylpVfYuLT+DNBSguTpT0vrIFTklv\nndPucmMiVpRrKNGRMYuf1+76MwzKWuO+BPic36/9fWfeaQwXk49NZlhmYbYxI6c3d3y22ldh52Mt\n/SaKixfy5gIUF6cK47UtgGvs/vvKjIVNLCbGK7FTlWg8blE4Kc5Aiq+5VPr2HAOQeSvmG5QtyBXf\nNQNJY4Vjoded2m9ehv75WAWoLT4zby5A8RvnPS1y66SHnr77z3f+WdjkvWSHz42Enk6RfTQ8tHaf\nzx3T9b1Jc8NdLPQWg6T9idjRdcu/JT/2/XkwZki/jo1F8S55cwGK3zjvJWtgTUNpHUNnRLFi2AQL\nd8Xn9sTv/WGR7HsyNHsyre1Nmh/umht6wyMeIm/jiKE0WhRP58EcL9m8EGVxcYc3F6D4jfNecCZ7\nMZRyGd9Le87LZEx4fMRoKfk1Aan7ADSPyLS2N2mJIu/9xtvP8Cq9kFlsNLC+mpeplRnS560ZU3y1\n/E5EDkVFm9K7d+8Ph8O/PRwO/++w1YR89+7d4XD4n4fD4T8eDoevh8PhP20mS0Tv3v1yOBz+7+Fw\n+Hg4HJ4Ph8O/P4j8y8/++x+HSfb/djgc/mVI/rXee6QdL+d/Poi8zH7WmjLl8v2Xw+HwT4c15mU2\nx+fM/2gO9Nrq3+f76nD4d+k9sYzY1uFwqTEvuioqA6WoSGkPhlJGkcLtKZ9+u+u8d6+dU+U8h0xb\nyzeXlhqU4wbk1FenGK9TW4fD3vu0aLdUBkpR0WsipnBfg/fncNi/nHuXT2mpQbnkvlON19fSp0W7\npDJQioqugfbu/VHau5x7l+81UvVp0UIqA6WoqKioqKhod/R+awGKioqKioqKipDKQCkqKioqKira\nHZWBUlRUVFRUVLQ7KgOlqKioqKioaHdUBkpRUVFRUVHR7qgMlKKioqKioqLdURkoRUVFRUVFRbuj\nMlCKioqKioqKdkdloBQVFRUVFRXtjspAKSoqKioqKtodlYFSVFRUVFRUtDsqA6WoqKioqKhod1QG\nSlFRUVFRUdHuqAyUoqKioqKiot1RGShFRUVFRUVFu6MyUIqKioqKiop2R2WgFBUVFRUVFe2OykAp\nKioqKioq2h2VgVJUVFRUVFS0OyoDpaioqKioqGh3VAZKUVFRUVFR0e6oDJSioqKioqKi3VEZKEVF\nRUVFRUW7ozJQioqKioqKinZHZaAUFRUVFRUV7Y7KQCkqKioqKiraHZWBUlRUVFRUVLQ7KgOlqKio\nqKioaHdUBkpRUVFRUVHR7qgMlKKioqKioqLdURkoRUVFRUVFRbujMlCKioqKioqKdkdloBQVFRUV\nFRXtjspAKSoqKioqKtodlYFSVFRUVFRUtDsqA6WoqKioqKhod1QGSlFRUVFRUdHuqAyUoqKioqKi\not1RGShFRUVFRUVFu6MyUIqKioqKiop2R2WgFBUVFRUVFe2OykApKioqKioq2h2VgVJUVFRUVFS0\nOyoDpaioqKioqGh3VAZKUVFRUVFR0e6oDJSioqKioqKi3dH/B8fJWJf477eIAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -222,14 +228,7 @@ } ], "source": [ - "show(random_points(pentagon, 8000))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "I definitely see a central hole, and five secondary holes surrounding that, and then, maybe 15 holes surrounding those? Or maybe not 15; hard to tell. Is a Sierpinski Pentagon a thing? I hadn't heard of it but a [quick search](https://www.google.com/search?q=sierpinski+pentagon) reveals that yes indeed, it is [a thing](http://ecademy.agnesscott.edu/~lriddle/ifs/pentagon/sierngon.htm), and it does have 15 holes surrounding the 5 holes. Let's try the hexagon:" + "show(random_points(pentagon, 7000))" ] }, { @@ -239,9 +238,36 @@ "outputs": [ { "data": { - "image/png": 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Uss9rYCZxqkANk+sAIYZg2EZzz3IV2IyTlTC+8onZB1MLrTcicNRJhhk+J6kx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\nPaBRCWcsKf0N26b2UL6W9p2M3lHBzkLVDip4f5iLmel6QRP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9KNzv+xQ1o97F2KFcQdQRN6j4YKSUVhw4MkxbYFQEl7Kylbun+J3hnReguPjG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\ntsQEezg2WKFmrBLv+PuD1XpLFyc2C+X9yaY9eKzFs7/iHNnWW8XYIhZ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ECu92Icsyb4x4\nTrFyceCtEnziPW7nwvsxuLQpVIo4W29KMblB3nkBilfwyFQ+/Y4WFvd5B6GET7geGHTXKgN6gYzf\n+btRREeWvwDvVfdh6v71O8Tt8QYXUM41C7a6V7UH77qVkM9dHH0fYftxO37kvS8/D/sejy3cafZt\n0Qu3yykZa/uKrxtbCTNBgsoMK/sfizHp3f19WTJQLrow4z3n3o8R91FeH215wHn2Urbb9uN/rPz3\n5ThJ3nsoysuZokO5YOXNu7L0ipH7fJCmcqnxnHjp/fzhg1cRLM6KLz5fubjRQlSKyQ3xzgtQLFj7\nccPcr86y4UXkHCZdTDR2PeAEVNEcjFUIPnWzz/kEjGXfK1+7ljkE8dQz99Ryuy3vDPsFbpSCnxUL\nvDezQrXWGF2GJQsKglvde0As8vYCsH0X70hH5coBoduM6cvPjbUuLRYk2N/RrjHO0ILHbYgnCaML\nQyUGY/dDYFDUmDkbjE+2DPHcxbUBhWzvYtHPZ+B05prjNSTWntaqpBPR9UD5dv4gJqXdeOn158Rb\nJSKsWJkLSVnGTr1NDscRZmhtzKwtfW6i4hvjnRegmFjvEJVLBgXp0sFsCgCpFjo++l0dOOc+W2JC\naTryfuGOvwrQxwrJmU8mcPx82WiHtTtDXIAzNwIuSllEkqpzbo1pXV4jcGtvVm/7GPvkOfzm8My1\n7ZaBPJVA3G3CqdH7+98UWJkth+zCVCBO5cJweN45vO/M9RzV87AfU2r3nrkb8Qwip//1+Ndjq1Uy\n+zLE2oB1m+dEH6k0noPzHMBnokLJ80q57l7R9QzCfelteZeYFXM89Xt8zlnxjfHOC1BMrP31yiXD\ni3OO3B8v6hwqx7uHcLXEu195v5C+gnv3vVWAYmFH5YlBt8d0nbsCnC633eUP+uvdCCr3QnY8O/5d\nEkJKyWiFRC/oXtC9Toxnz8wYlLl/l0GZGneiLVK7Nm2PcTHbWL1OfRr72JY45lFAcZ+EIDyDz/dd\nnwQ+Vu56ZXhkwcJ6jkLRM3C3GtcjYCsqaFoBmn7D67O1ZqTs4lzg9SdzN8c1DGjG9AsjK2dmQYl1\nZwoW8GRdXrOuFF+Jd16AYmIFbMx2hsvPyoROfKdMs7hIHsE9D71Nq65cDmeusoYq5Wn21eOuRO1Q\n47nbJKBbArfmCk973ejQxLV4C2zvLMJDWS3i88ng3uBeeZrKgv3bgzKXFbbLH6b2ZufMct/OdVX5\nbVipGIFfY+zf88nNif3wCbWXinzpFcZe+OF9WfSdmn8scDErq9pQHLuKMtMWRaU0Z9l6MZfRyCqj\ngM48F0ZjX1muWMF55tM6E5iUaBtU6kcbk4hoXKNcjjYxpbxcgndegGLBOlxvW3dH9gycZGr3GAsb\nAwDVToczm+qsobp8SgCe0fPic2SpvfxkX+v+6a87oTbUgnCtBaJXwh7Lsun+Q+vLJ95iJvrQ8970\nHu/SAM+5Hnmq913Pjav07Vw/TnD4kZv9hrfCiiN1DoijHbEPQuizCy4iWpT7Jp7fKpJayeZsrHzC\nMUaUKTAnWyZY8CMGhMetDr3vx6WeJ33Z8/VtrByyG5UzGqMF5RSuxXnAmB529zI497i7To+9uBb7\ndXlTVJzyzgtQLHibBVffz4IwhJ4ShLgwcs4FpTzEwsdRO2feL9aZEsBWClaCXrg+qO3yk30tdmK9\nBSTKNHKFqPY+pMXvQLxzz3UK8X2fhKkLntu7LTMuzry4jyK3dPj1beQ1FsZWaWT8Q4xrFFyYAfi5\n92GyoSAo4aR2+5xWHRUITg8wUp5RyHPiRj63h8cpjzFU1tAiotefvg2zNSVThhSofo1CyW7Ux1TH\ncC3jGsE4N8UXrk4m791noz7Z8z68GhXQy6/jxaWg3EpeL0wzd0a2M1KCEHeKo10O72AiXTX7cNnE\nvKZ8YUblxQjLugz0XW7Xddfn7ZqBSbOMt5ni4cBqZ43p6KMvoj050gTxLHhvPOshtTXfi2VjAbrO\nGnYbeNkqpCxCI5ei+l4xRrbwHMPrEEeECiCHqo+y6iowPJ83wwoSppVnq018/7J55/Rbn7unbUuF\n3VDrDINZ8f8oo84J07tPwrLEc+jCe0vkWtbK4dwGy3OgbS9W+pfX8eKUd16A4oSXsQ4jd4NayJYB\njnqHNvLPHvuUnI1338fe7jpV+XTyp75euMMZhUprd8t1tXd/3Ta4gQd0H7ZxLLi84+SFFhc8/J6V\nI6XIcfuxAFOZQftQy13Pie37RJ37g+0Z58OgdST6kN2XeB+7bx4nfa4isVj5dlf9PD+H5yBbRnHc\n7dOzIyR2TZuEAsVKAWc4ZgXozFssGVozlBU0+BnVW2HXMmBydlDqkffuuxNvD2tE60vMP61EbH8S\ndmalKgzKJXnnBShe4Hw3P548Grg2nijZzql1GShzJpu2z3zJ3dOal3Ey86KmPmfuFoWdWRP9sy5/\nRHs9R3roaBm9sx9hS6ItIoSb088HuBjxJOiOYMWNMRT5AX5t3XYbTrzd/FBWLRy/2Y4e20YByAN/\nFH+jvZ45C7m8XJgTBXEVn/PWDYGuzj1xv3IfoYsJLXl42q8WwNkmQbuh8HiFKFP8fuS5IsH9wXVC\nq5GyfPF6g+vORfJ/lPe+r7NqrNnorZ8DpZBcK++8AMUDzrENWqi196oU07kAznZO2v2gdjDs8mHA\n7JrQXhQiuDAvCZ1jene7IC23cZ+iO78W82bEe175JICyfsJFMhbR2LGyovXMW7fM2eZzZkljocXt\npcDReuz017Xug9vIOS4ow6C02UPHz1aJ2UKBGAuu8e6fU7hH2V/6bAVRVp8XniujHNXzksakOutJ\nKRtqzMbvnAbgsc8unUyRiHNylAX2YjPec8zd1B6hiKkcNbhRwO+fwjMZMMzr3Gijt8aSXQrJDfHO\nC1A8YA02U9aDDMClAHvZJMRzdOK6F658tPlz+VqMgOGQx5E594ye/yK5H5MnscLkPi+q+UmlvSBY\n2hFzvYPDYjS3b78b7fuhFXbZs58lZWchw20XAlud0dQL8rHb6nZiULbZ5WrFfu2xBvP8y8Zw+x52\n8SB/POhrtD6oFADcj1h3daZQ8MGgbjwmw6rEShSeleXeJmtD62s7l3pQPP++JoQXM84qK5hyZeJ1\nCugeddjOStKPp9s9R95i3nkBigecm6Z7M/529492Usy8i7rvrVvh3NtFAK0aagfDIE4VannqebZL\nVEpe0DtGdWDLBoYVstBiwa12f9g2r8Qz7lH782I/n6UyXfs0Kbt7tuPX5vgjb9tX7ZK1kO2tUstK\n8G3gvh4q2kRFf4zr1WNy1pr4sf35jKTg0+R7LNuob597ayUYKbgxT++LumEZIsQZFR9UDI5cH943\nArdH5Boq8D+C93F4+wjzhu/lXDLR7qhEqevY2nPmnNxw/bhbt1EsvjTvvADFCzwvrGzFuL9ZoJZ2\njMq/jv+rndQoRO9j782imIkWlQ5les3SW6voA9zBqx0YCtJ4RnzmaJd4d7/rmc3+2eFvSsl75H0E\nVL9YtYt3/H7uWlnikODAoIzAxiwMsH+5b7lc/e6vLc/ldpa7nS/sluFdN44JrXT0WJT2ZOMcF6Yw\nVM9cKyLxG5dJlZn7Ft2MoZigmzObu0+pvArwqnAbT7yd4+15YHrO4FzCd7x2Ho/99WjVyM7NWaus\nZ/2L68Z6/Fn7nMsl0CxezTsvQPECzwuAwwKGKbXXhOixAMKFgM3eiCVx+D7eH4Ien63Q+mpHFaGY\nSnFRUQ8q1wIy4jgwtftTuh4Xe7YMjHK/HHq/S9U7rdYClJ1OzM9RmA8Ev44BrfN7M1eDsg6Nc12s\nffZt5B5PpBiBlMrywkrqEsYHM6IqoZpZNXgunMJf7O9nXR/0Cfj+RIxtF89iob72QEqVNyfG6TaR\nU8wvqd3YWstzJQf6T3XhDc5SosjII+P0rm3dPFfL0VSc8s4LULzAehf8jCb644X7RgsHhgWqBeeR\nT4Iz/Oa4+PLJoGztQAsF7lI4HHISnNkpq3ohz84aYSFx7L0ChZYZri+Wk3epuSWhf85Tb3e8qNS9\nonLEPazYhcAdg43b+iv3lMKbYJu+HD73beF+bKMVja0RfPgbhrOz4sxCTI0ljPS5cJ2vJv7OJ+KO\nXRl473NvI3PUCcxZec69d3UwUDfGPgPNmdUc53nMGxNVt9fezwGF01pnveuVtulE9/HcGEUfbWNJ\nKVfPDfHOC1C8wDlGwoFHp5bifaEY6Bwk+fsQNzJauDh9dizwmbLEO9gsIkNZeVTek8zMy5YK9nUj\n9iXaiBc897G1Si3Ir9zsQ7r/CdUxFKLnPi/WsXjjidD5wnmZXdx0z/PFur1N3GN+2BqGqetxDsRY\n4UirsGrhwZYokJXF4v9v791y41iWbEFuiWcIDZE6Q5B07gAakKp6AlWT6sH0KJr8IA8gNvbeuFXA\n/esBdP+Q2n2/SND6I2kVy5ctc/dIPiJJmgMGiZmREf4KN/Nly8zVO3JvbV2QPO6bAzaGee75PXxO\nsAFkxqiQdk36huEn/Zb7Cw1jvO4/H/oS++rU8qzKJxbD8jk82jcl3KY2v8x47LMzlbIEfr350rrF\nx++SzoNU8ijZvAIlExIJZH1+gIZNcbdyaQqpWH7PCxBH+KjF0c/LUdlT900zr1wv3paMS5HtgvnU\nZlzMIzQcFzyXL9ZyVnjx+yF+g/LVNLfmr8HvsC1ZeDa2eRRuqyD4L5vP9ad7V9jI7rltlGHic6Z/\nYKR2EaizXNyYyThUOHb/Isa+xy25M+3uZGKwGxPsBvMDKRn59DnE7flF92T+SKboVY6dzK3URtPN\nGAscQp6/G/q+0XU3jmJTLvOt34E3JJtXoGRPyRKD7b5TSIIKAbTwwi6/xwXoC/39XSyr3//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UzQ0FHuR2Uwc3SRugazzV5a7vJqCe76fCL8vzpcE+/Bx2qo938cDtwf28xdO+Oa5o3WrBH1OjhY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\nc/v0xo8NlRuL7efwZ+5XvI9WcLvnIYfhOMyPdlxVdNR3+szda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"text/plain": [ - "" + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show(random_points(pentagon, 10000))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I definitely see a central hole, and five secondary holes surrounding that, and then, maybe 15 holes surrounding those? Or maybe not 15; hard to tell. Is a \"Sierpinski Pentagon\" a thing? I hadn't heard of it but a [quick search](https://www.google.com/search?q=sierpinski+pentagon) reveals that yes indeed, it is [a thing](http://ecademy.agnesscott.edu/~lriddle/ifs/pentagon/sierngon.htm), and it does have 15 holes surrounding the 5 holes. Let's try the hexagon:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+1EFZrwVoH4GxWqbgxkpsP74mKekOaHUGkpLujGIQaBu7gk3yeHceKx2+vel6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\ni7SmJP2GVmcg6YFTy12zqwB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GbDho/QXsAZW1KIyZ73lHjtLNYzdLNNa9O89pXGwG0yUY\nFNynsp3+3TC2QF0wHk97Zo2PNJoxMm+Z6HM1njX3lk0/f8peWOo+RwnztFKjT6+2OBiE94hceXZs\nbdTXW57dXb2KoH4PPCnu91af6Jnut772RwnFyn7SvaXVGUg6YIpeDqOYEv9S7RNsvq0aFsMCFl+Y\n9vQuNtoN6wgTDXQ8MnWIQnDCpeskximUffKRLP7FjHb9uj92bk5MnTbPBKpPxgnNseUnVn56+jxf\nY8GYtp3IvdVaG2ew7nIttyONJouI4IfEGiG8XLN3b1nrhQXKnrHHwByrvmrLiVVkyrOUvKKgrWC3\noF2kKFrFuu1yRcrddN0rxe8VzxFnbbBtvD7sMxalG4gsu3V3X9K9otUZSDpgqkct9IEZ/UtH/3/U\nfJngl3KkOKEXlBVgVimo7YaFtNn8VAmL8ZOB512x3IOUC5ubIxJQWunSvOtoIK2seAAjtjjtPzKi\nrFMsTjgzaq8lpRwfa525Ya2E9CnDEdhV0yWYAxHIb7icg4+37VoMzIvge7v+yrHx86fD5a94Vhz8\nZqDsY2292WfNrldxmx4zwrC0MDd4zIVf7HbESixen/uy7iYdBK3OQNKBU9sa0PrdvjDsC2jExdMr\nVG+D9mw91kXAit6wF042SkZ22cy9L0QvSF8zygbbN5bPt/ciEz+KCrIKG96N7vMlH1t8BLiL+93C\nFeDdtigL0n+tnFlrBVJ2rMKJSHhHQhVde2ba1goXOmzS3q/btNaJWsgvGp/aXKDnIbLsINfSGIYl\n3kzYaDirgLTWRSZ8e0C0OgNJB0jLrSMtAKAXkFjRiMCic7KrulBFigRqW7evX7aXXJ7Lc8XlS/qW\nyxfkJfe8EL276Zq9cuFDb+OxbO32mf1BeO3dbcufvx/rmVXUrjl2SyELXiSc7cnHF+avtDdbu7AC\nEY2l5QNhOzRplwiK1rFr0qanR+Ol+2utgtpKhRSc1nOBlHw9hgjT9bKxnuw6OAraiTcT8Tz5Z653\nfSYdPK3OQNKB0Yh5vx98GpudMeivZtYeA8n1mbxFUKAQTjm23p4NZAVDFHYZ9c1GXzD357IQE7tW\nboQnu+NlnqxBdasJbsdnKm2tj7LP0U49ilJB7p4x/FL5vU2UZjOxojOXROCeMR7HIzBWRzxb0m7M\nfTPeBSvkJbYH46dQf60yItfqfug1ijBLNnRdz5Ftq09xxGvJWoo+4HLtIkXJA809r5nz5IHT6gwk\nHRiNmPfbGJU+RWe+x77I5GybPtBdW/mpCWSrCFlrzAVPoEDNy3GlLbtjRUBD3bdzVUcP4NSCPkWo\niYCLw53rPnzNg3fB1NZH7HaprY92BEpcd0sxFPyE3HPMGMSK3EOvGFtGXrh2seCs9bt13k87wqXP\n9VlTcKL/RxTYXpyJje55zXjt2uemxHSNK0ZpSbnntDoDSQdG+3oJtAVZdI99cfUpS5iv6CVcc0VZ\nH7h9sbZMz3r3p83X1gJzzKXCg1Kwn7F2e8QC50L9rvkQHE15Dkw0Nx6nYV0iGP9Tq7dvfWgq3Sgx\nbqKF9bF90TxbN5DFw7D6TX++AmP8BI5JXXmKLDw4Kgw9M7EFqUfBiS1b/c/WyPUoQduF6md9DdXa\n7hvnvg1S0sHR6gwkHSDtY+dRf4FGu3cUCms/9x40WAPnRm4iFEUQvVh1nyKw7a3h/ZWqAwloa02w\nZnorGG24srXSRApiNDfWbSR0ba6PspX2K7fltXoczlksU3Uls6U41+ffuwPRXMhcv+LYHWTDsutW\nMH+/Xk/WYiPRTgjDgfLg9GKD+hUq/G4YF/weL9MTwWUV4IzmeWS0OgNJD5gw5qO1Q7JKgt3t9r1o\n6ibtXhCqvLgx3qT8X+6rWVxseKcVSDaXhQU6WiGLXAtaQdFuHvsCj+YGKSgWaFtz+42Y/uVanVtE\nA5xRWG0fYLc1/7E1qszE6o9I6HVroizHFiSt11OkJCFLC7LQjeX/aGG/4vuWWLLQ81I7syfCiqFx\nG1PCk+4Vrc5A0iMjL/AjwKp+ES07fXfapZ1yL66j5KEuBPGuVvMubpdop65dC1HqejtWUpdOh24F\nr75GCzycPbXse2TVGLNejK8JpOAhS8eYGX8Mg4RwQzhPT+xmQEqG9EPz+mq7LltKUhRJg5S55RYD\nf+/LcLzGrGR4fkrMT19Ctzbmpi/pXNK9otUZSHpEVLokLADOvsysadtn1qy3hV6C437oUYxNLLyQ\n8qWBgfYeDxbE5+nYKBAt9GyCrXbUw3Q/Cof1fO53bdTGJ8JU7NeMjy1S0RwjoOuF+v/K9MO6Aa2l\nTCdZ02PhQdn+OUGRN6N4EquYvmWrWLSeCX8NPnl8ybxhZd9mf172jCcdLK3OQNIDob4danySKd4h\nIX99n8Lhd7PjAqwPL9Ozk7Qv0ePw+rJNa01AQs4fDoctMBZ4i5WNuqIQWyv2t35GXEQ92WHrKfpx\nfc2ruIMAACAASURBVCjc3I6DThev19k5z9Fn2gr4hMuDEi35NR25Qcqx0ry8qq6t9vr+GPC163Oj\n6xJFe5n7ZbrXhr7HZyylBeXe0+oMJD0A6hFeXmGw6H3krtDfveYRhQMLm34woOcZ+ckj5cW6Frxi\nFglkr4SUChnGuth6NV+veMKQ2MyyXtHDVqz9ZpftxRfsUt/82xGXic98DhN/j1UKLP5IC0S5xmYC\nRhaoSLnUc2gFbF2QY5fSycDYIYuRXVNLrDERaDy2NPbVf8Q4l41WULS1r/18LlnDSe+MVmcg6R5Q\n2zrSFl5tfzE21c5uDRsdE+2YteBHx9P3C0IvILTiUXPxWCFvFbMYTFlibixIVis0Niz2FrSnTfY6\nn0skNHpBh/7E4LqiYHf8do7356op58gKXJ/DJJ5zrRwKX5JHRdcpGXBLXFVd2ZaooH8N5rAeVut5\ntef3vBgYI23V0SHU2joUnY/VUjL1/0sxZDVFnxnjvGILJOYzXUIHTKszkLQSjYFG4wc6cgn0tjkr\nEtj9g1010em2GqOBoij6cCOYZx8WiZUX5Kqylhx0fosIQKnTKjLluJbZS4UkuZ0WOprnZ+xDia/V\n+LQiVCQKyVp1apYXi9FAmITxnB7odzwnSADXdtWCnbDzc8XeeqLnOMIeobUuPNjznqxVsRfrEUdr\n1Z9nmct5Pmouk9r7wK97uzFYkmulpui/hnVjS5VeU/vFLSXdKa3OQNIK1LuLmK4bObCt9H+3Xkyx\ny2J+UUeuGlxXlGwLpRqPkpuJwLXCBmVVjSwDdvdsrRov1TVakULKTQ9IV8gmt9NhqlqR8BaU2OVk\nhSq6NxIKgv/QfSrN8eX81ZWNsv/e4obDkiWle6/VS+bDKn/WncCs57jsQy+wV1N5zMHITr8M064L\n3bJ97foT98izcI78/Xbt1JTbMatFrOi3nl0Mpp3rzfDje0SrM5C0AvW5ZCI3hH4Z9ygvMagVC7Yo\nXFBHTfQIbH/+zHQdSm5mhRqyjOi6LXYj3j1Ov6PwXdmRazP20kRnNmLEKhMtRSLaFSMF8tb8b+9H\nobGav3b/+taWtbidsl9vSPFsJdrTdV6q+qKwcaRQ2ROLrYC0ivRrNxYjO32sxEebjihjsqydFu7F\njmF9kzLd03eeVry+hbcaXksrS3VlKDEo94ZWZyBpBeqLfkAAutbLOErIJnXY3Vh9t+N5qpnoUR4J\n70P3/bKRQeilFwv9/vF8wpPlhBWdst/h9bibZB7EQhG5F+wLPgrVjCwLkULjk+eVWKFb9snF/AF4\n7TnuXVsob4hVcLz7zK8dpHjZ5HpRFl3ktmN1n82OWyo+eBz6sRsjSgDOmGyVeO9G9e4hq7yjZxxt\nVEZBtyOJFdOF84BodQaSVqIlD//8W6y8+Pt7XDN9u5m+l2Etd4VVNqwQtb/rXXaPGbulYG24xETU\nd3q+b3L9BfckEcM4CC984j7b70XJ6BMMS0zpY2tLrBxIiWolyWtlMG4Dh/3caOuSplp23B5FoB06\nvNz6htZxtAloKe++3Z753Od7LF04D4pWZyDpgCl2p/S9BJaA49r84F1l6f8vr/EvXX0AX00ZQcnP\ndjMPzwrC2IvbWw38wYVt3EYvSLSGQRHLggUnIkDq+Fj5OYnWIFI4z7jkfVbGyusiN2LJf7nmel2V\nojQxlwqKnifhwwO5fX23PB+gGOGj+tdmNJ9xX7TltPW8IIU4ckX2u15G11G6cB4Mrc5A0gHRmDVj\nPy+Tfr5qJnrkFpivqYMj6+e7LAH49Y5P74t7us9mhhVB22fentqtn2sUY1F6fP3jOIP22HmXgl8T\nkWBEAMoolB1Z3l6YOrxrr2zLWsa0C8dam1oYG702ZL4lQssq2v1rs6c/rXVZX9c15bd+MnkfDqr/\n+Ut6ELQ6A0kHQvt4EfQA5narM3qpRiDHGCPS/0JsZfNsRSdFdUvq/hYY1O6WLR6id4crQpPZutzm\ndiJFbjeXzlKl1c+rZCIdBWALfy1F68r81S5ACyqugTVRG/2HDs5jdsrlmrYKZl3o18fTh+CWbUfH\nHURrvm4RHHcF9bvYkh4src5A0oHQPl4E8Qtw+a6n56Ua7/piITnyQvTCuX7+h69DhJOOGGKeBW5N\nqYh2sK3fa6DSG9VfW0+fkhErfW1LRv/c24gXpGjg9Yr561G0Xpr1ZgHUyDJj6x1Rhms4sGfsw4Bt\n3bHQx+Opr2+BlcssvLXNR49FsK3Uowir5ZiSdPXce1qdgaQDoX2Ay8o6YpP4bny1Ilz6Xkr9wNBS\n8M4vUuZodxkLLGzlaSsVSAD3K5QzPx6w7Os5V397XAYtzMNuii8SXLX+tPiLFS0UnmyzyCIrzLEi\nvUai5GH9Y9CjBO4Tn1GuYWQRqW8+elw5MU/ST7/uliga6Rp6ELQ6A0kHRPt42c3f7abslPWdMArJ\nvav+9puymXHGVw1mRO4noThnBRacyw4rnPuE8DYWPOotPLutkX0ovtE62w8AGyd402v4FZcWM/2/\nnyMkcA/dCoDXcGStqeFxxuf7Ltw46Rp6ELQ6A0kHRCMvw9YOZR8v1hg7sd5uyAv0FjgVJWm7NtdH\nqfvrGUL3JbzKnbN3qfTO+ci6GlUO71JQ17E79hgGnVDQ5j6JXFASFn647oYYn4OsNXUFZA0l9l3U\nmfTOaXUGkg6ERoVPeaaLP7NjPzzVwa/rjtUo4PEZl2Gvcn3NX992Y4zz3MI9YCyAn4/l8zAasfEu\nzPWxYmTXIAoZLucIK3r7zf+x//6P5FEZ3cj0uFz3r4AmBuXe0+oMJB0IjQofBODbP09Rhs995VRZ\n4teOLAFL3GOnHCl5MYh3/IWPI1ViQR8L6/3sSiPldgS4fJfPQtznS9f/2HWmFb32mN/Vmo3XA7KM\nLI22Gg89ftf9T7qX9ISyZJnKl0T01fb/r7afa+ULIvoJEd0Q0V9uP++3MDMRfUJEz4noZEvf336/\nvGw2T4joR0T0KyL68fbz+D3ldz8ioi+7eWO+JT/G+t4viOicpvE9J6Ivuvm21xG9T0QfEdFTIvrd\n7d+PiOi9kDfmX7u+zPPxTdptHux98jnqM20/MxEdEdGntNkc0WbzjDabjat9mhv82zCnzET0AyJ6\nTUTf3n77ByT9n8bq79x4TfP7ve09XyM95kv4W7Jmo3vLeo4oWsM9fNb5eo/mdRevtyV9GOl/lvtb\n1taQkg6EMGq/tUtHJ8oe/i5nyY4c++j3H6FS/ia7z75zT+q8YgtKT0RHXz+WYg7OGVukrOXHHkug\nx20Oee3ZtUdnzSxdL/VxRJlx5fPr3/DXF3K8bK15i1UUnWMtdW3rRy1B3z5xIPtMBJh0b2h1BpIO\nhHpwEf4e++JDmS73l+r+bvra9+LEIZ+75mgoFZDydwS07IsGqYen6r9YAI2Y5pcDZ+VwQYQ3iUJd\n5fpWArWaMnHEc36PayY6WjD3kRLl+1+6gGwYrvDwtDEXzwAPI2vNumPPuVwbqG9thWjuu/TlinH/\n9wmW35+bN+ngaXUGkg6I/Au0vlPxLz57b/0Mkzof9bBS7Ecv81G02xhTnkaiUdp1tQRplKRsP6DD\neuTRSI6VpTk+oqiRyNqghecTnpUMPT42PNhbiaY1qu+7bK5Lr2To+msWBHut/P9PhoeXsA5//7JI\noJqCVa6ViF+sEHgler+WjRFlaZdnMelgaXUGkg6MxtD8aKeurQLjLy8slOwO6hV4ccvvzPMZKPvf\n+b/LcS5dQK/38uItI4ouYfvL1sCYIorXjgfPYqVQCyxtQbGKA1pLG56sFnhdYuGt6zgBPOKx8oJV\nPw83PFsdojDn/bg1epVxP/7PueYKm+o957uwbIwrS+s+z0l3QqszkHSAtAv+wIfSjr282lgPVr/J\nXx0No2n28fe0c4jjPJn/RaBebYXGMgtK+RKXvr9h5OYYWwN9gjTeueustu3IMC/Q0enQeOddcxdg\nhcb27QV7q2Er6kna0ooRM9HHcCzmdvW9567+nrkac9fZ8fcuOFzvBU+K2zLrIl6ryH0cK1mH8Dwn\n7Z1WZyDpAZF/GT7l0QywMdZDuzusH12/WC2VlpRdfPq7hmPOdfS7lrxLQvo/C432rh+dSqyp7eYY\nnbP22qhlz+2x3GghjnfZeC1FocxH7F0tVkk4M3X2hGyf8GwtsfSi0Se9prVlKFI6kSIx4q6zFtA4\nz5FXIBBYvq0Y1ddqzVJl+5mJ2R4grc5A0gOiGNRYvlDa+Iho91/WNysa9sX62rzYxaJjo47qPv0Y\nDNl/DL2vzwq8Fv5hwx5vIf2KcBuRENbjdOPq6pvjWs6L3aNQ/JiP1BnlI9HKG1JaNHD2Rv0WjWMf\nVsvPt1Y4rgGfVjGxSrc/A6cPy9QvuEvcR2zN8r+3rVcj68Lz3QvaTQzKA6LVGUh6QBRjUOzLvc/k\n7OuPw0O9YENJsi65VyjXwZBlHf27xX5QYdkf2d1rgXUL+Hqr7sFCabJqCfbkTVNwxUra6NwtEZTL\nLC6jCrC3Uv2CZ7zKmfp+OtW3tz+xwv6Zux7jaiyOy5+B02+96geQ43qt4hcdiHnO2HrVG4ZdS4KY\nFpJHRqszkHSPqM9KgNK5a+FhX9p9LqBR4eh3uXY3Gvv0MZ/6BamVnujk10hQaGvIK9j3GNxpd9ia\nL3RgHbIm9Kdg74lY2QWvVL9mWeTGEiVqugdblIg+MOvmVN1zwnUMip7vK56Uw8iqiAV6ifOwlp8+\nl+OI5c4rxqdcKh+Ru1SHjUveHuSGq4Vh97gGPdYl6cHS6gwk3RPq29G2wyK9D5/hSxMDKHt96UhJ\n0grKpXnB9+3sIoFQgiF9f+brjw0f2oIxj1XdtWAVknMuD7MrlY5SiFgLzkX1RY8VklJYLbWo9K2x\nJdaRcbCkHxet6B1zqaDo6CCZg+g8JaS41twxkVLpXV4jY99jufPKhE7rr9csjo7Dayt2N/a/U+z9\n59Xrkx4Urc5A0j2hPh9wr5/4mP3OtO4G6nURlHgC2bVawdr3gh+zDkQn29poBwTmRSDDeMc7RfJY\nd4+tT5QeO45oHGpWHKt0aSuA/I3ne7c1Vu6sd3H71NvV99j5OzFje8xeGPs1PPOrLWZnPFnNrLVr\nLLNt77Pm+4cj6uZxjcC8dm35g0E9kL3H3djzvrBWpP2tt6SDp9UZSDpQ6gEX+nt6TvWV3zWQlVms\nGtN1NQtCHQjp8QQvtteUQqANLhwD3EVCwFshzhm/9K2lAofuzvgae7+tE+/Ye3fhWAijOsuspL3r\nackaG3OljbkBZheFVR7sWIuLIbKgRAJYeLY4qA94VmJ8yHddgYzHHru+dLI5/Zu17NWoFv5tgex1\nq1f/pkOv2THlM+le0+oMJB0gRYJrDEOAsr1aASN5IWxEQw38aC0CCCehLShYELfBeaidnr7bbLdW\nabGWFvm+5KUPw6PrQADaOrCwbn6PwmlfgLHpjV7S7iyPTWjjEUZDfEcsYAhzhFw/WikQZaUHg8Ls\nQa/X7K0Ws5JSfw61VaGWo8Qqnmht64icGsX5jFp4mNHve94vI3UsUVqTVqfVGUg6QFrix/d19CgF\nfVE5Nb7K73QY5inPSkLtQDT00kSuBvzCHx1Hb7LGylw8Bvr+S/Z9vwD8lrkzcF1nlfYFEKoVv5Om\nUIrHQXbZGuzbN8a1+ayvPzwGeCzOzVyJAnjZbLc9/7o+DuhFeH/P81lPv98T9SXgX71OR4Cs/QrT\n7u+qJdi4xK7cE1qdgaQDpH2YUttAzyVm+Ai4KjtTG92iX0w28mYEILtMYatbgpbv5kpAo7bO1EG2\ncV0n3AIfeteZju6oWzO88EcKpU9zv8v6jBXXGphUQrD1mB6Z8cHunP71isLVb3k+n+dKrZPaIYW4\n/9hqZy2Q1g253GJae9Z7f9+F+nAseRLyPaXVGUg6UNpFkZjuH3OhjPNlX6woDBNjFmKXAz6McBeF\n7a5My/3umbpC5nEWNYuEtSpZQRu//LFwfaXmxCooLetEHVhaWj96+bP4IGSle1ttF9er11XkptKR\nZ8hNitZsj/WvfQjkrgpEGzuE8Fn7sWL04972f15Q0p3T6gwkHTDtahrtd6EsywqJXTFt0KW/z6b1\njszUsTtmhO/6ePWexhzvrjG/0Q5Zu0uYoxBsPNZX6nNNQCDXEUpT3ydEetelV6LisGqMNzlTvPaB\ngX29Oj+I1If6H3/f+8xEa75ledlVgehzs7ROfa65CJf/fpfWm6Q7p9UZSDpguquH2+MwluV4KEGI\nV1wKXhyxgNsftQRo3mZsw6hCh/tsAbU9wD8rBO15LdEpwXYnf82lwmB36/q7tlWhDta09/evs5Zi\niue5lZhPuwrPeU7ApuekfkJ2XKdfV15ga8VErp9dXSNWvPqzFFlextwgZRs9G45IObLHT4zjV8bc\ntWk9uUe0OgNJB0wjroLxuu2LyQr9nt0iAiEiQY8SxuksmRaweGmujV7GJbZhHPsR9RnVjV0aXgja\n+8RKYhUUCzS1B+VZC5PUKeDjJanea26oVl01l1sswHqsUrGr0Cqv/Uo6tk5pZVyv0UszVmzusZiQ\nkeik3mdpN4tcjxLg+W+7F9v4lt0UmKSDptUZSDpwWmLZaNUzfa7voPteeEiBsi96K2BFaMt9WnDf\ncGlFEMUAJVHT9wrPFl/xssJ7K8JD120jaI5UPTaHhb4vArLKd29VnXZukZBGyk9L8GurBFKuYktX\neZ21Asjn12YclyR3s3Nxw+XasblRWrl4kHVKRwYhZeRqu2bq1ryRZ3AUf1HHu9Q3EL1KgFcGdX/R\nGmlFmqUL5wHT6gwk3SNa+jKI3CLlSxxFFvS+8MoXpDfL25dpZAWxVoVjRju8WWmJIiWem3qeGl6R\nFUD6YEM8hS9W9MLMiVayrlW7Vol6wVg4eiFTPy6g1wUg95VKX7wueg5ZlH7oPkSuqdiqFc+FrvcV\nT0resSK9tvSZMzUBfsqerzP2OVAkjNk/D61nELsyrWuv7xyb+njjDUT/84rwX6Ks1BRd7QLTVqV0\n4TxgWp2BpHtES18GsULwlIk+hi/cMb7srkxH5fgdpMeg1JQGLbCkjhPz4j82/Lw0gudPGQuxCCxq\nFbkN+5Tp6AWNUunr8a5FkdSirBAGpWXGjxSh+XDI3YCf6NBDZJVCeCeL2dEWAs3vG/bWDTu+kiPE\nKrYWz4IsDvq+G3ONKEaisGoF2OajOWGEQfLKKz6osG+8Y4VkzKpTdyXFa+rUjP18cGG6cB4src5A\n0j2jJS+D0qrB6iWMomd2zbnCPO9saxgIDM7zVoRr9kLWYjqQX/xG/a53ivo7tNu2O1cRAMiSo61H\n1tojdP0bgeXnEM+lH7f6qb3xmFpFyFoGrGIZJ6nDn/XpubXsu5qvc/bKzalZP4iic2pu2LvnxKJz\nrb7zyqAfZxvtc6baueJZUdTrqKaQ6vE95+hZ6HnO6y642nOGLDsjGBrdB/scpjvngdPqDCQdMO1z\nZ+JBoJfm8/IXziSYkACv5WKpR6F4pUDonEvheMb+RS5t/n+GJ2vh0OZyK2i0QLNj95r9rtUeIOh5\n7p1TP24Y/+LXip0DjS+xbhn53SeJ63f9RCG8NZwCm3G65lIRsAqp0JvgexmX5+yFqKa3rDFJM5/Y\nmoAtUAJQlnvQfKNkhfVnYfdnu5aQsM+yEteNFLLMZ/JIaHUGkg6U9vFyKeuzIZ8CoNzPC6cEZNqX\nZCsE1WdCjaMqnnO5G0cCBt1nXQHM884/Snomf7Ugu1Zt62suQZu6Lu3y6jHFS19i/Et5feQOs64o\nPd9W0Epfe10/Iy4iG+kk/2vXCjOeO6GakvLStMEcW1AQ6BStT1ufPTTTWiDteqyBkvcXkRc9Zx4D\nc8p+EzCqLPflCUp6ELQ6A0kHSvtCx8eRAdq0X8/30d/W2LH13ret8048Ybyb1kLKumReMlZ8RBHR\nlpfZpTHfI/VesVd8UGiwdnGg3fQbMN4WNNuTEK48fDG+Disc5XiLgIlwSf2Zez0eI44s8lYvfXKx\ndj3ZU7Y1WWXGroMz1cYlz6Hsdt7is4Q8tuNi225kmbhgDX7tj4aymZf3k4SxvOYYjNOYlay3raQH\nSaszkHSgtKtJGCPv9Ut5d+XHtzf+wvVAwsglgUjvWOXaa57Av9a8bvEAUTSLuG8ixe4Vl1EkAjq1\nocYXqg6kDLRPA575ayt+pfJxZnhsnc9z5gRQX5tWia5biMrIJIv90WfwvOFJKRDFRcZNK3qveHZT\n2pBwdG5P+Sz1ukQQXmjp5iF2dY09g2PRV1ZxHrOSJT1qWp2BpAOmpTuX8gWmX4JRYrYeFH/rmv7w\ny/K+mutB76yvuRQ6OumWjdr5jOconbZQGfvtAyBktKI059sox09bGj5gazXaZZeKd/SaR5yB1Stw\nY1Eh2Pxfs0xYHmVMrrnkl3lSUp5yfEaTzT8jPCDF9i1b10QbKzNbuLDigjcPdQuKxWrdwjra840U\nw8iNat1U2pq47PiAfbyjku4Frc5A0gOk2HxvhVAbE7FcWI0IulokDeqHjYrZsHcHWdxBTajUwLzW\n/aOVPk3iKusRfKdAaOxi7kdRVDjFO76/lUekda+2NPXkD2F1nbSB3GQYbzPXZ/EVWrF9y2V+FqQ0\n1s6OikDSYoFA99txPDG/i8tJKwZxNFfcd83n6+ramd1Uel5O1D1jxwcseTck3VtanYGkB0jlC+wV\nR6b6HjPviCnYh0aO5tmwgEbtp6+bw6eX/2fsFYf5njY+IPrtg6Be20Z0AJ2NFrGmd6uU9eN45vGz\nETynXGI+RqxfVoj2hKPqOm7cHHkemb3yfMyzohnjbfwaPwN9eA3Wk54Tq0xFBzjK2mkr3/WIl6fs\n86cszw491YdC8NGzcWz4ss9TDxaqR/FON9EDo9UZSLrHFJno599amICe81yWnwc0gqMp3RJvmegX\n6j7bj5qSYUGW+zBhWwuKdSEwzwnndB9sCK9O/GYFJNq5LzkYz9bRzl7qLQfCV//uGvepPIOpjBxj\nRhiZEaB1uf5tQjg0R6JsWGuOdUe11zwSzhioLL9bN+SLsJ6+8bZWuN5nWI9933qLlKhdcXJJB0+r\nM5B0TymOytEvkB4LSQ++RJvxrbKAT2cdr18LN70ztJaJ+gvVR4uMm9DL+pDSYfOp3LIXUGfs8QbH\npr/i2pBdPYo2GbGkoDp6s5dGuVJGwJvWFRIl4jvlUaE8tk4ji5xWNmxmYBR11IOdkn5Ku9aycava\n9dFYmJeeU7i10nw1MDZ6fcbRTPU1VU8El/RgaHUGku4pecHpXyD73OH0AW+X+rKtewBFxNgdcc1l\nNA74jHmruRI8yBFH7ggJTiUCFNdzw4zzO5q9FFlBlmQstlaMloWiV4HtH49ZmS5BtvjZWRrCL4nq\n9HhZy8bNb3hG1qGWNafveRmNAEJWp+gwSbweUyl5FLQ6A0n3lPxLHisi+3qZYMEcC6GR9stdpCTX\nYvPSRu6LUWzEuDDywvGIy50wSvKld6tW2cLzVVqpxnassXvPYyf6+rs8GZe3YuC2e0Hau8xhn2vi\ngpc+I5FyUVpE6jxHSmE7GmhfGw+fDTgedzluYbnCn3SvaHUGku4x1TAorevH27IvRXvSLhJC+gyW\nGM/gX4T2RGC9a9sl4mH8ZY4BpLEbBkdyiADQlicdOvuU55weZ6COKErkGHz3pHLdu931YsWpZsmI\nwNy1vCU1N0wtfFyvzV2tVVa5EEuJ8IyB6vN1pVLYowTczcYDKcMlWDqBsY+KVmcg6ZHQPnY+IxiU\nGQvCinqShkWH+snudwmIcl+KmYQD4+iQ6XqUoyK2ZvgDEd+GPGMrlnfjYB6swjKKbakrwm1lASlS\n/S4trOy0hHjvWVDl2C97JvycTZ91vpf5LCVviTsKeFvKU996ryt/pZWpNaZJD45WZyDpkdD+/O69\nocNjAgADHMv7/Ev9ZEggLh87bQbXVpAWjuSMS+XGR9T4s3behLziaAztajszY6i/i5W+cvytkLXW\nHd2fJ91jHVlLsEsrdjFhjE9NqcPKFVaO6ic6176P3UkWkyIWExzVg9dQvzK4DK/Twsa03YxJD5JW\nZyDpkdC+dj699ZTXXQ+1izOhbtgL8xmA6OsYV8higWSVrVuezPblOTS+HnSfVQxskjkvoL2QPWa7\n+65ZtmLFRmf7RZYMG5GilTKZF5v/A491zVriXQlYwHrhq/+3Id0oxNmOj4zzEVuwd6xwRN9HCtOZ\nGq8r05Yey16FEfVjOQC4D6eTlpJHSqszkPSIqM8MH2MGeuvx142YnG3I8WvFjw7VFEK7uxMuMQBn\nzfZrO8+pXZsIrffAOZtq3AuNScggK4UIoJIvbI2oC6YSuGvN+ZG1y+7yLxllqO1XWlGIsVasLtmH\nKovFIXJdyf3W4qYPhURjZvPTWOUiyh6L+LeWv1tQ7832s11HrTlrzf2F+b0nt5Fen2kpSQppdQaS\nkjjGlrRNxb1KTe2e8re6O2J2OTBb6wXesT7v7EfrRX2shJqcZ1IKgmnMPmC/k7ehqCOuC3/ac2lx\n0NYInYUV7ca1BUbPWc26oQWsrIkyA2uvEuqVT1EctXJ0zrMS+hbwZMccKVe/4FJhOedS2PvoM68I\naKVHJ9PT312YubbJBm29qK9YmcCuL6sM4jDyUReQH9NUTJKImVNBSVqZyheUTX/d2lkhc3NdGWj5\nyGN3hD4FF+FT7Atd6GXYj7hdbV2w/OqduXajaHwM4g3n5Ij50NlcrYKiLQ5amdPtauBmbY6OuFQw\nartre8jhCbfmu5z3SOBGVgVL1mKhrUI2nLs2D1ZJsviUyKJk60Xr8BXPrkerEGrF8sK1O4+TnmPh\nwyritj6v+GKsTB27s0/sVtK9p9UZSHok1Iev0PlNetH91hxfVwYmocaKTiq8ol29tigwzyZ8ufZG\n/XYV9qN3jEqFSMZH6tdAUYuPkd/tuPnzXzwf1r2gLSPRb7bd3jnCifb8HJyzz4yLFI4WgDQSOShf\nlAAAIABJREFUuAiDwqY9bbWxghSdMu2tVsvxMtZVZ5WVcy6V1OvtZ4TvqZ0ubZVzIWsh0UqMJADs\nAe22ALh2vR+v/u5KWo1WZyDpEVAbX6F/i4GG0/VWobE70boy4AX5ayVwEDj0hWnPCo3ajjc2effj\naJ6ZF/Zl0IbFx9iIEMtjrzWn5o5AGXaR4qCVmDOedvlyvxdGHjSK2kFurh4AKe6/38WLNUKvMz0G\nyBJgFUBvrRrDy2iFywpufeaTWLYQZkcrlPW5x5sFlKbfKjHIFVpzWcah+n69Z56TR0yrM5D0QKkX\nCFdeOwq0jCJCWi6M6Kwdb12Y6kMhvvMLFoNR45DRETO2F2gniv9rLpW9I54sPDXB2JdGvuS3FKj4\nNyvIIiVGf/eZE0bzeOvrkctFLFftdVbHuCAXg3ZfSHtWGUZr5ul2/OvKqG+3hdnA67MEqCILnlUo\n61mQ/VyjKB6rxOijIawVyytiYy7W+hpNevC0OgNJD5B6gHD4HvxSw3VaUO1I4q8jnnagkdtGFBDd\n5msjEJBgk9/Lc0Uw79bt0SukrPm9NNfjsdeCcDyNfB9vFpuBokvY8M5bAacVmxqQ0wvfkpdaYjSr\nDOjcMggEe2740LxHSepsNt4I/G2xOVfmd4TfQcq4WCLsevonnt1YUl8bf9SaazzGEhkUPevW9dPj\n4kqQbBIxcyooSXdALSCcv77+UltSZ5tHKzxYkeRNsbt/AY1Gu3Fsuva86zwiUm8rk6nduTKjlzxu\nq9da0xJOLXyHCFikIOnwWEsvuVQgNI7ilL2rjVlbqLAFpCWErcVLxkuPnbWcoev1sQj6e6RQ6jqj\nAyjPebaURFmNrRVOWwRvuOzDbun08fjpFPnasvOKWydFp4UkaYBWZyDpAdLoS2gcOOhdDcv4PDHC\n54bLyBSxnLAiC1SV67AigC1DCBOh64p2lToCw4YOH2/HpJbFFdc9118zveND3Xz9GKhc5lrRytmV\naRtZLsQSoK/pTzlfzsMGzLtO5GeVrVP20VHIgqLpgr1Caa/XLiMNXrWKjs/S68fdkozzJXvlKl4D\nfc9MBFLX/Wy5ktJCktRFqzOQ9EBp5CU0Dhys4zj6d9E2KuSUva//iCesBJtrraKColUs2NMqEUh4\n+P773bIVDiVIsRyn3rGN8BtPmehjLhU1/TtSHO1nnRH2jfr93295fW7GAVkXsBsMW4wQnkTzZOdd\n3yPWAXS8gB7nCIMj4F2kKEYh7LVkaxF+xYZHC4kyF1lodrNa+PHWFh8Ulh/zv/Y7KungaXUGkpKY\nefzFFQum3h213YFes/fla6vINZcYCKugIHO6P4Sv7K/130cusCgKRdrz+ITRscWKxW+BdpmnnXkP\nCFQE1KW531ovrJXqAy6F71XIu+cb/W+xIrpPolBYl5+eO62YaHC0xt8gYHItegsrjbPVxs+Xt2LZ\n07pFiatFns2K8pJnEUdO4cMo/bP4lKOw8qQkQKszkPSAacyKMqqgRILJumhqobQ2WqTminnLE1ZC\n76b17lFe1ihZG/OsANWTWWGhFkWhWKtKZH3pCWe2wuSEiT4H/XgzJGCwcoUsR/ozzlDaXjtRzhjr\nKtEuiih0VpPk+bDjg+akZ0yikPYYL+RxM28Zn/+jeZK1KYBwPS7aojcWYRatqXrEjzyb5fN2F++d\npAdDqzOQ9ECp15Kx7FprwkfWkLY5u8R1nLF/WWvF4LX5LOnLa2nbo124xae08RQ+Wsb2+TK4vndc\nEWbCCus+5a+sV4+HVm508jfk9tAKxYhVzSqQeqePgbS477VcN9H4zK6NkbUen1YdgZ/1OrdtI0uR\nXYt2PWp+/BlAy98BUVp8ZhvplpQEaHUGkh4o9YIzR66NBDi2hlhTfGSyfsqTZSRyIWj8xBVPbg8P\nFvV86pweXvDg6JdWen8r2PzBef7auvtnrh/hI0SIfc6zcMeuifpaQMqSzhkifbf9Gw2HRu6HdnQP\ntlDJPAimozY+V+ZvrAz6tX5q5rGM1il5RJFH+j6rbCDlAOUu0fzYk6p3jfjRc1Baru7q3ZP0YGh1\nBpIeKI0Is12AnKUy4M8FqVsldGrwK55M5jaHh808+9LxgHm1eTc0D9YCooUIjoDAmBuLYalZBNoK\nRczreAbccoxPuX6KsMdHLAl5ntt7AXjucVtE7rkXjfGx99bWBVKGtCVGsr9G4dxRPhk9rsKTtrhZ\nK4le97Y/+7Gg9M5ZUlJAqzOQ9IBp3xgUvEO2VoiRKA+rfNxw6buXNvTLvGeXbkMxdbIstMNFEUBW\n8NbAoAhLECsZ8fhb4bZLjhmxjKAQXSsIhSLrkg15tmHJ9jRpGdN22vV4jLUFpecQvFbGXfs/ArJe\nm7/aSmgPqbzkMgeLbbem/FmszonizUYSzeOblPSOaXUGkpKGqHzRx4InNi1b5cIKUE2iLJS7cp+o\nqmZSZyVwLPjThpe2LEgIc/MW8FKedNweR5Rwq25xqM+P3Gujd4QuK0K052gEq9xI2nv7veCE+nPo\nlMpVjCepR+ggsKn8/5pnRUH/brMZl30v8TWWxG2jFWas/Pm6/Hk3/vwefLhgUtId0+oMJD1y6o0I\nwPf2nHh8xmV4o8WCWPyDtqDYTLEWSxGFr0bCWTLRIhfOqLXpyrRr817EO18/PlYg2WykVoC1DnvT\n96LTjoU/nfZd/22dePuEUV6WKDLLju8IKLtv/FqZf/XaECotflgBmcO5pzZ/EYwlyj+Clb/ac1M+\nVxjftI9nOympk1ZnIOkRUwx6XRbVM3+HzrqpYzJmrITe6UaYiSjaxAp9a0kpk4L1j1HNbcWKl8+4\nR6hgLI+2oNi+2HHSLq8PlOCzyt6r7e9ygGEcZtrjrvPXla4QjEVqjd+48O253ysBNteL7b91rei+\n6fDhG3W/KMlIGZHxi45f6LEQjUVS7VMJTEpiTgUlaUWKXvS7CBDvrhCTvv6udsCeNn3rOizwFKWZ\nR9EqPtR3zFKirTU6askKJZ0cTq7vTW5mAZU1/ITF7TDP0U1acfl98/mIa8pDP05Ep6mX7L9WGAqm\nIlZ62hYaG/4dhZKfcTSfZf+OeAqzljG7ZquETZ8/YA/EtuDdXzDGNbUixcY2AC0sUl0h2V+4ctKj\npdUZSHrEVL7o9fkqyw8Ui5We+IWJo17kZX+jXvb6oDctJI+r7WPwbHtXGWEtpt80DsZGkFzCNtqA\nXnQ9UrAQbudPG59tJAxSHvQhgVGkjU1TbzE5NhGZHhdtEZiBob4NyxdSEvHY4HlECrD007aD3IvI\ndYUUE6Q4j28A+tdGXSHpxf0kJQW0OgNJj5ziQ+iWvcxiXEqs9OAdsbXCaCFloyCQqR69mCPlqYbD\n0a4BcRF5wTF/xsnU4t10jacz9jkznvGE6dF8XW/7WebPKPPHWCuEbdeednzOVonAIFgZX4Qx0uG0\n1+penzRvHnMEQI6UxB5XD4rYYUOoHflOW3G09QkpZXbucU6T+rNgwdY9Sn1bIUmXT9ICWp2BpEdO\nu+IBcJ01gY9N1l6A2h1h+8WP6oqjOc6C360ZXgs0UVB8zo3yXBYN9EURLrPwixU6G9aqebaKgvz2\nlH1E0SWXVghRqFB0FXPZVxvu7ZN9eYGqFUnbZzmaQPNtrQdIwYwS4vW4iqyVQ5/nZMfVKsUoSiiK\n/EJ5dPqi3OLn0c5Bf1j1u3jOkx48rc5A0iOnUXfObsrHCPi2lnek/2Xrr7Wp8XtwOELa9N8KzbWW\nhiisV6KTEJBUW4n0bj46lVd4P+ESzImTmJVKVRRCi+7RvDw3fD7nOnDZWkPq2Ir583j0FZ5D5hmL\ncsXzuhQ8yQmXYO0zLqOd0Pc9yqdWVHsj4/Sc+FDjFtB2l+c8KYk5FZSkA6Bed06fteE2+K1usm7x\nVf6/S5bcFuDSfq93scyl0I6UhjPGByEivEpP0jLNl80TYnfRNjnbBawLuz601Uf3XbtydD36GAKp\nQ+cTsUnIjnh2g2jMkw9zXrpG4zGUfgo4VpQIu3ZtdlnhNV6/2PrypFJ3SzmXvsahxlhZqkeoJQYl\naZBWZyApKSQfXdJrbYh+0y/73XZx2OpQs+60oiqi6BmbqhzltfACtsQsLAMgY14QH8eq/lMuFSlJ\nIHZk6kL1XKjrn/IU0XJh2tFz+dK09RlPgt/jgzwI94R9aPnYqcR960Hm7ykj8HJsZUGKqShryJKD\nQKpR3X0ulrrlyD5XF4w2CElJO9DqDCQlQfIYDHnxvXIvQryDjARyOw/Jst1y233UFz2B64iVkBO2\nobvzPR6APILDwXzVsp3KdRxeM11nQcan4LvokEVriRGlQ8C8PgJmahMda4CEN56b2hrBoOW+sFu/\ndvUpysjFV5s7ezK31K37NeqmitaEjcDDG4SkpB1odQaSkiDFGIwPghd9S/AuCQlt7wRbETrltS13\nTz+oEYNoW4rASdi3WMhGYbx6bnRf7K462n2XVo7yOza/W9eQHocjLvOGSNsvuFQitDKDCFun+tZI\ny3qBlKvIUqbXahRyHK2FGWtSrgFrdRo7SHEeZ3QIowbsYkBtUtJCWp2BpCRI5UuPjTDrc1GU9dXB\nqvF1rWybmpdY+SjvqQEefd+w8oAUuDI5Gwa6RgoQGp+ob6dcRqPI9Ta6qcQllPiV11wKXZvrQysm\ndSBmjMGwY/aUJwEt32tcSB2DUraHMhW32u/LPdNaq9gqFllnpD1py7uw+hRrmz34KHgWlh8wmZQE\naHUGkpJCml961nS91AUTHTGvd5zROSY9Lhu9C67vSuvYGMl1IkIJ7cZRdtzWCcit/Bd6fKzQs32z\nrjep1+YhQUqOVgyODA92HPqsWVZAthWuY45wIe11hKwb9lwmrPD0AJXrAGULXLXWFv2MWKWy5mKS\n65BSbd1jLxrjk0pK0l5odQaSkpq0j5eeF1g1AdEX7RILknaabx8CWhOmfjc+8zkWORFbdlouicgN\n9cJ8py0ftdBnoRchv7ukS8eCt+2G2W0d1c+u8eDgGFSKlRtrNbsI+xDPZxTpEyvkpXvsqrHW+hTK\npKQOWp2BpKR3Ql5gYUtCfP2IAuB3tK1728J0NyWtdX8cCowsADZjLN6Fx2P+lvuF3XJcQxnOi/rX\nk2jN5q2praPWGPcrye05Oq/2AYNmeyN9kNLeznmyROFLSqrQ6gwkJb0z8sDEu4jmGXtJRwDeJTib\nehvtnW3fmEQ7dmzN8Tk/nvG7EHZ10G9vaLi3OCxZR3OdY0py7xz1gmbbSlofSLi/f+nmSdqJNsxM\nWbJk2VPZbDZE9GMi+oiIzono+xQ9ZJvNEyL60fbaIyLaENENEX2TiL4koveI6Ivw/n6ejonob7b1\nMxE9J+a/M3z0tRX1r+zLORF9sr2j/I75tpNn3c5rIvre0DhsNs+I6FdE9JRkTJl/vfB+WlTHVE85\ntvrzNB943OfrxtdBre9orndpq9XfLFl2KE/WZiBLlndaNpsntNk82/493v6/2Vv900v5E5qUjO8X\nQsC39R5NAlgLwdc0vdxvifnXO73kpc1JKfnNt0T0b2mzOfrNOExKxK+I6Mfbz3F9RO/D/k3fS18+\n2vbtPfBdN/fbv0dE9N0mb758QZNSNI+p7Ut97uV+3tK5q6NV0NjqeY3muLzvH6lnbjDvN45v1Ob8\nXcyPjFVr3PaxbrNk2ZZUULI8nuJf/H9DRH9LPS//tkCbi31Jx0qAFiQ/IaJLIvpOFz+tUrb5KRH9\nXP36IRH95fa3n1GPElHW9yMi+tL074c0K1pf0bQb/5Im5UAEJRXjVx9TUW42Wyp5awtKJqIfEBrT\nHqVsVjSfE9EJ1SxhcVmqoGll73fd/X19R0rkeLFj1avMZsmyj7K2jykpaW80BlLUVMc47Bqd0JeA\nbb8AQxxmK1Em16bvcfr/Hv78uL7lKSmctKdPGT7jOYw6HlMfRm0BoBosGmFqovwgdwPm9FiQ2hk5\ntcyt+h6UpG3/kTL90V0Jgk16Z7Q6A0lJeyGc3bOWF8SGedZAh0vCUW0W0zp4sHbNMrBuzwF9/BsB\nXweKSh1a4diAtqTOK/b5OmwY8muOFR7h5ykTfcw+2ZvtAzppN44CWgrm7FMsSsX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pOQ19Rm0+d0PEnWik0s+TT9rjkSP6uxPt+xit5TFNohuxFKN3h2PuCMd/vmQi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\nGLoSqRimSSNKGyFfrH7HVJUH0dGlhUSCmkaMViKHjap8nZQ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N5wQnkffPAZg5P5muewzAa2Bmbzcz7IIegDfA43IcvhDmCQ/jYgO8J82zAJ5C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\nPngMLq9a/Uixpj+Av0+SNhnqeayfy6goHM+3qm3zSE87I+0Y5Qg9zqq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0TWHxe1afkz3O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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -271,7 +297,7 @@ } ], "source": [ - "show(random_points(hexagon, 10000))" + "show(random_points(hexagon, 20000))" ] }, {