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@ericmjl
Created December 11, 2018 22:59
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Doing GPs in numpy!
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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import autograd.numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"%load_ext autoreload\n",
"%autoreload 2\n",
"%matplotlib inline\n",
"%config InlineBackend.figure_format = 'retina'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Fundamental Theorem of Gaussians"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x2aaab73a5630>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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3gZ8dzIQSAIzOkzuEy96PiIj8wyM1kQtOOrI4WeCXCjOhBEC67InlUkRE+mOQTlpKh17hTjqyfGLqOKka9ESYCSWgrxvRXeFCR5+tynChdn9LREQ0FM/0pJV06RXutDf1VyqnKn1+HV4D0sOqBeVYvr7G1ixNjgAeW1Du/aCIiMi1nKAHQGTatKcJy9fXJMwKmpnpV/ec9HlkQzntTb396Fllz81MKMWqKivCs4tmIUck/7kcATy3aDYv8IiI0gSDdNKC08y0bOs5FWR6Uzd3XFb2/BcuXwv09yf9LJ03FRtXVKIyXGh5e2W4EBtXVHIjLCKiNMJyF9JCOu2aGHSAXHs6qt3uo3bWEMiuM0iH9Qk6qCorQlVZEV8vIqIMwSCdApduuybKdlYpGZePlvNqMuq67D5qZw0BAKl1BumyPkE304tDDMqJiDIAg3QKXLrtmijbWWXGlJCyIB0IfkbBTnebZetqAACJJkliO+DEzgo46Zzjx2wCs9OZge8jEaUTBukUuHTbNVE2KN724RnFIxk8o+BnAGJ3DYGdCqb4WQGn6xO8nE1gNj8z8H0konSkbZAuhFgO4P/0//OrhmGsC3I85B2ddk20E+jK9KYG7AWsMjbuasDR1ku+BiAqN2YCBs8K6LI+QbdsPsnh+0hE6UrLIF0IcSOAlwBcAjA64OGQx3TYNdFpps1Jb2qv/ei9JsflJG7IrCGwoybSjrcPn9ZifYJO2XySx/eRiNKZdi0YhRACwAYA5wB8P+DhkA/MzLQTKnuFy/Rnt9ubWqS4XYVU1wmq21Z62d1my75mqfupHpNMNp/0w/eRiNKZjpn0xwB8FsC9/V8pCwS1a6KbTNvSeVNROr4AL247hhqLAL/vQmI0Nr7XpGSsbjgtC0lW9uPlWoCoBusT/Ow2FMRCxmxZPJluXaOIiOJpFaQLIWYAeA7AWsMwdgohHAXpQoi9CW6qcD048pSZmU4VMKveNdFt/XOq3tQvaZSZsxOA2Cn78WItgCmkwfoEP7oNJXudZ5WMxROfq1BedpFtiyfTrWsUEVE8bYJ0IUQugI0AmgD8TcDDoQDYyUw/pjCQUJlpS9Sb2suAVoYZuFhdUKzdVocXth5LWd/++P3TPRvf8bOdUvdTGVx63W0o1ULGgy0X8JV1Nfjqp8P41udnSo3F6XNm4uLJdOsaRUQUT6cI4m8BzAFwt2EYUs2kDcO40+r7/Rn2uS7GRj7xc9dEPzJtssGjEICRJMMvINctZt27EXznjSNDvp8/fBguX7ue8v69BvDCr+pQMTmE2tNRiREkd+zMJcf3Ubk+AfC225Dd8ioA+MG7EQBwHahn6+JJnbpGERHJ0OJoJIS4C33Z838wDGNX0OOh4Pmxa6IfmTaZdo3mjEHyWvcQNr7XaPsxTYk2U7IToJvMYC9HIPDuNirXJ5i86jZU1xrF39gM0E0/eDeCe2+d5Cpo9rKlpc717Tp0jSIiciPwID2mzKUOwFMBD4eyiF+ZNplFsalmFOpao1JBuiq1p6P4+gPlWPsrtf3SnVC9PsEke2GVKDhNVgtux3O/+BBv/OWnpe7r1eLJdKhvV/0+EhH5TYcWjKMBTAcwA0C3EMIw/wPw7f6f+UH/914IbJSUcfzKtNlt1xgfdCbLUsq0rVRtTN5wbFxRicoE46gMF6JisjcBT2W4EBtXVHpWP71qQXnK98skANw4vgAbqiOoax1cApSqvacdB1suDnlcu9yUdCUi07I0KE7eRy9mZYiI3Ag8kw7gCoD1CW6bi7469d8AOAqApTAa0nnKOxk/M21OFsXazVIGvaHSpe4eNHd04fSFbsvbO6/2KK1bFwCWfWoals+f5vnny263IaBvbcBr+5rx2r6+f5vvEQDb9eepyHYcUV3SlW717UF1jSIiUiHwIL1/keifWN0mhHgafUH6vxqGsc7PcVFq6TDlnYqf/dntLIp12oXDbiDphQ2/bUB759WEtx9quaj0+QzA1x7WqS6sEtkdaceydTUoHDVC2fsiG2yrLunysr7dK353jSIiUiXwIJ3SU6a0dAsi05ZoUaxMllI2kFQhWYDuFb83m4m/sDr80UVs3tucsrOOAeCcwtdHNthWWdKVzpsD+dk1iohIFQbp5Fi6TXmnokumTTZLKRtIpqsgNpsxL6yWvLIrkNdV9rOnsqQrEzYH8qNrFBGRKloH6YZhPA3g6YCHQXHScco7laAzbSqylEEHkn5RudmMk/db5j1SwW3HEVUlXdwciIjIX1oH6aSfdJ7ytiOoTJuqLGVQgaSfVGw2k2w9xdTCAtwVLsRtN4wZFLTLvkduqOg4oqqki5sDERH5i0dPciQTprx1pCpLGUQg6Te3szKp1lM0tXehqb0Lr+3t+7e5CNrvjLDKdRAqSroyYXMg1qQTUTphkE6OcMrbG6qylJn+Orst/bC7niKWuQj6odlTpJ/XKS/WQbgt6UrnzYEyoRMVEWUfBunkCKe8vaEqS6nz6zy7dCwONF+Qvr+K0o9n3jwi1Rax1wDeOHDK1XMnIwAsnluK20rGeJ7ddVPS5WfLUlWcdqJitp2IdKHvGZ20lAlT3jpSlaXU9XWuDBdi08r52LSnCas3H3R8fxWlH2u31bnaXMkwgFBeLqKKZyvM303nVqWmdNscyEknqtVbDmB9dQRHLT4jzLYTURBygh4ApReZ7eh1mfLWndstzM0MYMm4fA9GJ88ca11rFP+4/bjj+4fycrFxRaWrILa6vg0vbD0mfX9TtLsHNt8iWyrDha5/N78tnTcVG1dUojLBcUCn38lJJyrDgGWADnycbX91z0mFoyMiSo6ZdHLM6ZT3orkl2FAd4fRxCrJZymT1tl4QgO0Wj0IAK+4OuxpftLsHE0Mjpe5rWrvtmLK2lIWjRqC986qrx5tWWIAf/PEn0/bvIOiWpXao7nSULvs+EFHmYJBOjtkNJoUApk0YZVne4Pf0sc7BRCynXThS1duqVhkuxKK5Jbae8+aiUVgwYxLW/ybienxuugOpDtbOdV6FEEB4wihE2jod3z9HAP9z0ayB3yddPptWdN4cyItOR+my7wMRZQYG6SQlVTB5c1FfAJMoiIlfrOWVdOzqYDdLKdOpxA2zbKWqrCjpez+tsABfu+8WlI4vsD3jkoqbrjUbdzW4H0AcwwAaz3Vi8dwSbNnXYjurHjsLko6fzXTiVaejdNr3gYjSG4N0kpYomCwYMQzf3HIwZeDi9fSx064OukmVpXRSb+tWfImNnQuJJa/sUjY+2a41m/Y04UfvNakZRJxeA9i8r8X2z1dMDuGph2aiqqzI989mOmfrZXnZ6Yj7PhCRHxikk2vxwaST4Myr6WMnXR3Ssc7Uz51Fk/XsTnQhoXp8BSOGOb6P+Rnw6TompbH5wwcy6H59NrM5W+/l75Xp+xEQkR4YpJNSMsGZF9PHTrLMshcKTrOTKrOZfuws+uBtxfjGwlulxqh6fFv2tWDpvKmO7uPnTIMd5ufcj88mkP4zSW7JtDW1S+f9CIgoc/BIQ0rJBmcqp4+9vlBwmp2UyWamCuj9yOTZDdCtxqp6fE4v5PycaXDi9f3NvlzEZvpMkl1OOlE5kYmvFRHph0E6KSUbnKkM6ry8UHCanXT683YDeq8zeXZ62ycb67TCAuVjen1/MyaF8mzNRPgx0yCj9pTcZkpOL2L9ytar5EXdvN1OVE5w3wci8guDdFJKNnhUGXR6daHgNDvZ0XUVa96qtf3zx85Ek7Yr3B1px7J1Nfj6A9Px4O2Tkz+oC3a2c0918dHY3qV8XC/vODHke1YzEXWtUeysO6v8+YPk5DP99uHTWpSc2eV13XyqTlQzJodQezpqa+2Cnb8NIiJVGKSTUrInU5VZPK8uFJxmJ//39npHP/+DdyMpf84A8L2tdfj5wVOo6A8u7Codn4+Pzl92vZ27360fk4mdiSgZn+/rpk4yOq/IXUDa+Uy73dQqiI4lftXNp+pGZGe/ATt/G0REKjFIJ6VkFmupnj724kJBpsY56mHdeO3pKASc7f7Z3HEZFZNDA/ePl6yLSyzdFmT2GsDqzQcA2H8tgrK7oUPqfqneExWbWvndsSSIuvlE3YicbiJGROQHBumknJPFWl5MH3txoaBjjbNMPFZ7OoocAXzjgekI5eU6rv/VdUGm7sG5G3Y+mypmNvzuWKJb3bzdTcSIiPzCIJ2Us7tYy8vpY9UXCpnUF7nXAF74VR02rqh0/NrreLGSyex8NlXNbPiZJdalVauVVJuIERH5hUE6eSLo6WPVFwqZ1hdZNjOZSRcrurP6bJpZ3oa2TrRe7MbFyz1KZjbslpzFZ5lLxuWj5fxlx1lnHVq16oqZfCIyZVbkQYGyOrlsWjk/sJOOyguFTKxFlclMnole8XBEZJo2oQDzphWi82oP6lqjOBu94tmiWDvZeieLUu10ZNGhVatusnl3WCKyxiCdXLNzcnm0KhzAyNTVmcrUuYfycj1dPKqC08zk/pNyCx/tEgC+cMcUlIwvwMs7jnv6XLq5o3QsOrquoam9C43n+v57bZ+3z2lnJsnpolQ7HVl0aNWqk2zfHZaIrGXmEY98ky4nFxV1pk7r3P/ivjJbfdKD5CQzWdcaxaGWi56NJXZmo641mnVB+oHmC74ugLUzkyS7KDVVRxbZjPCZaDde2nYso8pAuDssESXCIJ2k+XFy0ak+02md+5J5N2JcwXBteopbcZKZ3LirwbNx/PPyO7Hwto83aJKZuUh3fn5E4l/vRNwsSk227kH2/Y3f0CoTykB063JDRPpgkE7SvDy56Fqf6bTO3fz5Z9484mjjIb+k6g1vXiDVnYnizQ9OeTaOlvOXh3xv1YJyLFtXk9HtFYNQGS60FaCraLeZbN2Dk5mpRHSZqZOlc5cbIgoeg3SS4uXJRfcSGqd17lVlRRiTP9z3caZSMdm6BMjtzpUy4stuzDEwQFfLyb4EqtptJlr3YHdmKpVUM3U6zcbFY5cbIkqGQTpJ8erkkk71mXbr3HXdAEhYfG/TniY8sfmg78FxbNmNit0zaSgBZ/sSNLR1KnneZOseUs1M2WU1U6frbFwsdrkhomQYpGcwLzNIXp1cMq0+s7q+DX+z5WDQw7D04enooJmN6vq2QAJ0ACgYMWxgDF4E6DkAetU+ZNp5bvEsWzNPqmdSUq17sJqZ6rp23fHC4diZOt1n40zsckNEyfAvPQP5kUHy4uSSafWZbjPCY/JycdHjjFnszMZ33zwSWHnJN7cchIDAa/uaPcmg+xWgl47Px7j84Tj0kXddcGSUjs9H19XrKf9WvJjFOBPttvU3GjsztaE6IvVc1fVtOBu9kjazcbLPm25lPUQkh0F6hvErg6Ty5GLKpPpMFRlhrwN04OOZjbrWKI4GuLC11wBWbzkAI41LXHIEsGbxbOxr7NAuSG/uuIzvvHEEQOILda9mMV7ecQIv7zjhKEHgZqYunWbjZLrcxO8Omw5lPUQkJyfoAZA6Tuu53SwMM08uTqTaelz2xHzYw97dsty0rvOTObPx+v7mgEeCtA/QH79/Oupao9jX5O2GT27tjrRj2boavLjt2KDve/2ZTfS8VmRn6rquXZeejQvKqgXlyLFaIGIhfuHvpj1NWL6+JuHvbCZlXt1zUsVQichnDNIziEwGyQ03JxcrsifmPY16LcrUdaGoFTPDVntKv/aQ6WLG5BDKi0P43tY6fOeNI9h+9GzQQ0rJAPC9rXV48IWdqK5vw9uHT/vymTWf9/f7nzcR+cyv3FWGqk42MswuN6mOpfG7w/qZlCGiYLDcJUMEUc/tdHOfVCde2RNz47kurerS0+VkmGpmgxL7wztuwJWe67h4uQe/PXHO9ePl5ebgSk+v72sCak9H8ZV1NT4/K3D0dDRp2Z1sGUjBcLlTWtDdUpzuvwDIJWUmhkaybp0ojTBIzxBB1XPLnFwSmV4cwtTCAjS1dzkeh0516UGf8O0wZzbMxWadV/Qfsy5G5ubgPz74SOljdvf0LW0tHDUC7Z1Xh9xeGS5EKC8Xv/rwjNLnDVKqhZtONjuK/TzL0KFbipP9F2STMguf3znk+6xbJ9JX8EcmUiLIfrtON/dJ5q5woVSQrlNgrMMJPxkBYMXdYTz7iw9xSMN6ft1SMj2TAAAgAElEQVRd6fGuV4wZoE8rLMC8mwpxW8mYgb+jqufe8ex5g5Js4abMTN3E0EipcegUoNrZf0HlbJ0u7SiJaCi9owmyTYd+u3Y390nmthvG4LW9zu+nU2Cs0wnfyowpIfzgXbkWd+SPxvYuNLV34er1KQMXwC3nLwc9LE8kK7tzOlOnoltKOlCdlNChHSURDaVPZEOueNESMQiZ8HvIBAp+OsJFomnBAPCzD07hZx+cwrTCgqCH46lk5WpOZ+qclsksmluCDdWRtKrT9iIpEXQ7SiIaSosgXQgxAcAjAD4PYBaAEgBXARwEsAHABsMwsn3DwKQyJYOUKb+Hk0AhFQHgpqJRiFhs0z5MANfTuHUh2dMoUQKWTuxkhq1m6qwCd7tlMgLAtAmjsHrz0B2Bda/T9mpcOm8OR5SNtAjSAXwZwMsATgHYDqAJQDGARQDWAficEOLLhpHOnZS9J7PQSkde/B5+78ZnN1CwwwDQeK4TaxbPQtfV67jU3YO6M1G8eeAUA3TKCE4zw6k28Fk8twRfqZyG7bVn0GxRJhQuGoWGc52WF76A/nXaXs7W6bQInyjb6RKk1wH4IoD/jM2YCyH+BsBuAIvRF7BvDmZ46UF1S8SgqPw9gtqNr641iq6r17FoTim21baio+uaq8frNYAt+1qwaeV8VNe34flf1Tna/EeI9N4sKEjFY0ai9eKVoIeR0Zz8DdrZVdnq7710XD7uq5iI20vG4ptbDqb8e9C9TlvlbF0snRbhE2U7LTYzMgzjHcMw3ogvaTEM4zSA7/f/817fB5aGls6bio0rKlGZYDfQynAhNq6o1DI7FGvO1PH4SuVUlI7Pt7zdzu8RxG581fVtWPLKLix8fie+88YRvLav2XWAbjKnop3uDBnKy8WyyqlKxpCNFs6cHPQQMpqTcjW7G/hYaT5/GT+uacL3f33C103fvGJ3EySndFqET5Tt0uGv0YxweHlvk8qWiCrZGU+yzHfJuHx8tmISls+fZqtFmZPd+FRky1Jl+FR4fX+L4ynuaHcPclSfybPEp8uKcLLDuiSC3HNaduf0AjVer4GEJS6J6Fynnar7jQwdZw2IspXWQboQIhfAf+3/51s2fj5R874KZYNKIypaIqpgt+QkVZDbcv4yflzTiFklY1P+XjK78bk5ObnJ8DlRe0qur3nrhW7FI8kO76bJ7rG6qCqbgBHDctDQ1onIueSLXZ2W3cls4KOKznXayZIyT/70UNovwifKZloH6QCeA3A7gJ8bhvHLoAdDztmpH12+vgYr7g5j/W8irjPfda1RvL6/WWo3PjfZMrcZPq8Vj8kLegiUBarrzw36dygvF1GLGufKcCEWzS1B59UevLTtmK2ZPpUb+DiVDnXaVkmZTGkmEBTdZqMp+2gbpAshHgPwVwBqASy3cx/DMO5M8Fh7AcxVNzqyw0nJiZPNdawy38my9XbJZsv8zPBVTAlh+9Gzju+3Q+I+RG5Fu3sgBPCF2VNQPimE0Xm5KBgxDJv3tThufRhkoJyuddqZ0kzAb0E1HCCKp8XC0XhCiD8HsBbAEQD3GYah564wlJSX2WUz8w2kXiBql2wQ4FeGrzJciEfmlErdN9P7bJO+DAN488ApzJ02HgUjhuGbWw5KLeY+Ew2uZEtVQFbXGsWG6ghe2nYMG6ojA8cwL2VKMwG/BNFwgCgR7dIDQojHATwP4BCABYZhnAl4SCTBj+xydX0bzkavKKsFl82W+ZHhM6eidd/NlMhKrwE88+YR1LVGpUvafnfygsejtKaiTjvozKyuzQR0E0TDAaJktArShRCr0VeH/jsADxiGwVVbacqP7PKl7h6l2XrZg63XU+FCAI/fPx11rVHsa+zArcUh7Im0Q+MS+JQEgCc+V4F3as8o60pBeqs9bT9rHF/SVtcaxcEW/4N0FXXadtfl+LFxki7NBHTld8MBolS0CdKFEE8B+C6AvQAWssQlvfmRXe66dl1ZRtlNtszrg/TE0SPxva11nj6HaVbJWF+CoS/ccQNW3nMLVt5zCzbtacITmw+m9UVHpglPKEjZncVrsYu5g1o0unhuqS9dn5iZ9ZadGQSZ2V+d23NSZtAiSBdC/DH6AvTrAN4F8JgQQ/o6NxiG8UOfh0aS/FlopSas072rwZmo890upxUWSNWhf+LGsTj00QXPdyf9i8+WDfz/5n0tDNA1o0unInMxd1CLRjfva8bDc0owMTRSqkyEmdlgOSkzkr0Q1Lk9J6U/LYJ0AOH+r8MAPJ7gZ34N4Ie+jIZc8/pEUxkuRMFw9x9fFV0NgmwNB/SVwyyrnIpJobyBAOKXh07jHySy75NCebhpwijHG744ETtrEWTva0pMl4XGZnAeVHeVXgP4sx/ttWwjOa2wAF+77xYsnTd0N9+gWsHSx5yWGcleCKZDe05KX1oE6YZhPA3g6YCHQQp5ucDRzHy77YxQGS7EYwoWbAV9kDYMoK71Ep55eNbA92QvHLqu9XgaoIu4WYugL3BIb2ZwHmR22SpAB/ouZFZvPojv//oE/u7h21FVVhRoK1j6mEyZkeyFYLq256T0wE8XKRNf97d4bgneb2i3vZGGnQ2NYjPfE0Mjpcb53+69BY/MKVF2ItThIB2fgSsYMUzykYaUmSn1hdlTBr1vQV/gkN7M4FznrkaRtk4sW1eDxXNLsWV/s+tSIf5NuCdTZvTMw7dLPRfLk8hLwUcXlPaSZY/CRaPQ0NaZtObYDLyXzLsR9946CS9uO2bZ8SM+8y1z4q4MF2L1gxW2f94OXQ7SZgbOnOZ1qq+ESDa4t+dnH5zCzz44NVAPqsMFDg0mu54hlXEFw3G+65rtn58xeXAnkgUVk7QM0oG+1TGv7WtW8lj8m3BHdgEoAKnzCWc9yEs8GpArqer+Im2dEAIIJ6hzjg+8nfbzXbWgHMvW1dhaeCgALJpb4uC3s0eXLN+l7h7b07zxVJUQ2WXWgz5+/3Rfno/syRHA1+67xXI3ULd6HX4oY396054mrHmrVu2ANKXLRX8yOvdbd7MAdNWCcixfX2N79lfnhgOUGRikkzS7AaFhAI3nOrFm8Sx0Xb1u68Bup5+vmcG3e+o3AKzefBCb97Uo3zzE6cF99YPqe4SPzsuV6huvooRIRq8BvPCrOkwKjZTqYENqmZ+DT0wdh6mFBWhSnE2/6LCMo/Z0FHWtUaUblulO98xs0Jsy2eFmAWhVWRGeXTQr5edNRcMBIjsYpJM0p3V/W/a1YNPK+UqeO1UGPxkvNg9xenBfMu9GrLznFtS1RvHVf31fSXlBybh8qWz+s4tmDbwOZ30OlnsNYJR0/TyptPSTN+K1fc3475sPBD2UAdX1bfjFodNZEaDrnpnVaVOmZNwuAF06bypKxxfYLrsk8hKDdJIS5MYPsiUdsbzYPMTJwd2cLm4416kkQK8MF6Ll/GWp+3ZdvT7w/8+8ecT1WJwKetMc6vN/95wMeghDNLR1elJGJqBqlwU1dM/MptOmTLLPG3s/p2WXRF5hkE5Sgtz4Qaakw4oXm4ekOrhX17dhySu7lAYeZgZuX2OH1P3N6eG61qijrduJvNZ6sduTx33ojin4zwOntMjQTysswLxwITqv9mjbIz2dNmWSbShg9brbKbsk8hKDdJIS1MYPqje/8WrzEKuDu5sSnURiM3Cyiz7Nad7X97eoGxiRAvubznvyuHeXFWHymDz84N2IJ49vx5SxeTh1oRuN7V1obO/Ca3v7vq9LbbcpyFlTWVwASpkiJ+gBUHoKauMHLza/8WNDHRUlOvFml47FxhWVA/Wfbqd5a09dVDY2IhVaPVoj8cPqBqwLMEAHgFMXrGcJzNruVzUpP3IzaxoUc41QToptH3QvMyJiJp2kqKj7k+HFRh9+bB6iqkQn1iNzSga9nm6neT86701pAZFuPtS8rCtRbXcQNdINkjsQy95PFS4ApUzAIJ2kqKz7c8KLjT683jxEdYmOyeriQnaat7q+DUd96pFORKnF1nYH2fpQdl2AV+sJnOACUEp3LHchaasWlKecTjSpqvvz4kTkdSbFq2nffU0d2FAdGVSLLjvNu3bbMU/GSETyaiLtWLutDsvX1yS80Pe6PKZ4bJ6v9/PC9OIQHq0K4y8XlOPRqjADdEobzKSTtCA2flC9u6cfm4d4VU6z/ehZbD96FgAwZUweJo0ZieuGgc4rPbi5aBTOdV5Fh8U27PHTvF5l+rNd+aRRePqLtyfMgBLZ8cLW1Bu2qWh9mCjbfNOEUVKPJ3s/IvoYg3RyJYi6PyclHcnIZPdlpk29LqcBgFMXu3EqwfTyyNwcVIYLcV/FJMvxBrnAK1PdMDYPW79x78C/VXxeKTvZ/djItj5MVUqzeG6Jo8czsdabyD0G6eSa33V/djP4yTjN7rupCQ36ZHWlpxc7j7WheEweHq0KD7ndj4Wz2WbV/R9f/Jmf1yc2H9RqAx3KPE5bH9rZRfT9hnaEi0Yh4mAhqB8zlETZgEE6KePnxg+pMvgzJodgAJab8zjN7rvdDlt1iY6sn+xtRtmk0Vh5zy2Dvu9Hpj+b3Fw0CkvnTR30vdLxBQGNhrKN3Q3jnOwi2nCu0/YurXZnKLmYkyg1np0pbdnJ4Ls9EajaDltViY5b/3t7/ZAgPehMfyYRAnjm4duHfH/tttR1xUQq2J0Zc9IW1jD6Lj4bznW6Xn8UZKcaonTDIJ3SXrIMvtvsvqrtsFWU6KgQ7e7B24dPY+Ftkwe+p0umP90JAGssAhQuzCUZdjPX8ezMjMl8Jk+0dWLN4lnYsq9Fev2R21lJomzDIJ0oAdXbYacq0fHLln3Ng4J0QJ9Mfzp7bvEsy8CCC3NJxuI7S/Da3hbH97OThZb9THZdvY5NK+dLzVCqmpUkyibsk06UgBfbYVeVFWHTyvn44/nTZIflWtRiOryqrAir7i+Hzbb3FKcyXDikDt3UcM6/nRf5/mWOk+2XcVe40NF97C7YlF0sbt5Ppu+401nJ1ZsPDNkHgijbMJNOlMCu4+ek7mfnBHhTUXA9hM9Eu7GhOjKQ/UpWI0qppVoo13rBv50XORGSOWoi7VizeBbeb2h3vINwKrKLxWXvJzMr2dxxGd954wgA1qpT9mKQTmShur4NW4+0St3XzoksyJPNsTOdAye/cNEoNLR1ahHc/eEdN+A/Pvgo6GE4tuLucNL3s3iMPjsvUnrpunrd1loWAeDx+6fbPq7IHn9k7+e25Iu16pStWO5CZMFNNw47JzJzsWbQIpoE6ADwianjtHhNnDrQfCHp7UHOmlB6O9xyEUvnTcXGFZWoTPK3YQD43tY6LHlll62AWPb485P3Tw75Xl1rFBuqI3hp27GE5Skq9mIwa9W5xoOyCTPpRHHcdONwsokHF2sOZpbfpNtrkmoDGU7Rk6w9jX3HIbPd7NptdXhha+IEgpOM86oF5fjKuhpH4/nBuxHce2vfzsXJyuRKx+XjvoqJWD7/JkwvDinbi0F2V1WidMVMOlEc2UyNgP2aUODjtow5KVb7ZcNiQPPixu5roptkn5npxSHcOpmbtJBzjee6BjLTr/z6OJ5PEqCb7GacJ4ZGSo1pzVu12LSnCcvX1yRMZjSfv4yN7zVh4fM7seSVXSgYMUzquayYF8VE2YBBOlEc2anZWyeHHJ/4Uk1lV4YL8dziWVLjSRfxC97M12RWyZgAR+XMzrqzSQOHrivup/spO1XXt2HTniY8+4ta2/cxM86pHlfGgeYLeMLBfg+7I+345paDCCss+2LJC2ULlrsQxZGdmq09HcXC53c67kRgZ+fUDdUNqD2dedmjRDsUVpUVYdHcUhxsORLQyJzZfvQsth89O+i9N9/PhrZOnOy4HPQQKU0d/ugiNu9tdny/VGVYburEDYflaL0G0NDWCSGc39eKihp3p9zuXk0kg0E6URy39Y5260KtDvqPVoUtfzaNSrRtS7VDYRAn4i/NLcVr+5wHRKbdkXYsW1+DmyaMQqTNv/7olLmq689K//1X17clDCRV1YnbZQAITxiFxnOdrteceDH2REF4stp7toYkrzFIJ1+kUxbC7Hzgpm94sl3znB7061qjOJphWfRZJWOwaeX8pD9zJnrFp9F87GRHl+v33jDAAF2RyWNG4vRF/z8HOjl1Qf7331l3NuExN4jAMtLWiTWLZ2HLvhZXuy6rHHuy43G4aBQaznUmzP6zNSR5jUE6eSpdsxAqOq9YdSLYtKcpac9jq4N+JtZfHmy5mHQqftOeJmx8r9HnUTnfQIa8M//mCaiJyG0oRn3MMixT7DF3enEIt5eMwaGWi76OqevqdWxaOX8gcbPu3QhaztsvB3PSQSuVVMdjOxfbyRIyRG5x4Sh5JlUHADMgfXXP0N67QVPVZSS2E0F1fVvKTUmAod0Zgij78EOii4/q+jY8sfmgz6P5mLmBTLp1mMk0J9u7eKGkWPwx95ufm+H7GMzj2fTiEB6tCuPvvzTb9t+ak11VU7F7PLbDzkJdIhkM0skTsgGpTuxsImKH+but3XbM9gkh9qDvd+2oXxJdfHz3zSOB1uBf6u5R9t6TvGYH2VWyL/aYW1VWhK9+2nodjFfij2d2EyKJFpnLcnI8toOtIckLmXn2p8DJBKQ6ThXGdl559ucfDpo6tutSd4/UBknmQV/H10WFfU0d2FAdQcm4fLScv4xL3T3ounY98Pp7M4iIfe+ffP0QdjfI19ASxZtdOjblbrVeiT3mfuvzMwH0bVTkB6vj2dJ5UwEA/7TjOBrPdQ25vXR8Pu67dSI+MXWckjG42bAumWQLdYlkMEgn5dwEpLIHuLrWKF7f34zaU30BXsWUMXhkTomyA+b04hA+M32iVJA+Oi9Xeqagur4Nj1aFXS9m1FF8vawu4oOI6cUhFI4aHtBostPY/OG4cPla0MPw1CNzSvC/vnzHoAX1Z6LdeHnHCV+eP/aY+63Pz8S9t07CUz89hBMeL3r+XdP5QcflZOuWTM0dfZsjbXyvSclaJq9mbjO1NJGCwyCdlHMTkDoNqqvr2/DdN48Myb5uP3oWL+84jorJITz10Ewl2WjZx6gqK8IvD52Wuq950F88tyTjgnQdJVqUVjwmL4DRZK9MD9CBvr/t6cWhQZ+3l3yua4495jZ3dKHhnPddiWIXWaZauGlFRUcVr4LpTC1NpOCwJp2Ukz0AOr3fpj1NWLauJml5RO3pKJatU7M41WzN6IQZ9MkevM37dV29LnV/sk8AmF482rKu9CaFuyUSAdYBnd9BnnnMVbmIMhWz1MbNc1qtZaprjWJDdQQvbTuGDdWRpPXhXr3OmVqaSMHhZR8p5zYgNSXrrW52ALFzfDcArFbUIstJa8bYTgRusvAAp1H9YAAJp9R58iXVrD5Tfn/OzGOu6kWUqdRE2vHsLz5U0uIWgOM2v168zipbQxKZmEkn5dwGpNX1bVjyyi4sfH4nvvPGEfzD1jp8540jWPj8Tix5ZddADaOT47uhqEWWbCcCN1l4gNOofotvVSfz/lFiAsCk0MighxGYRAGd358zc2F0EKV0Kvqz10TasWyd8za/ql9nla0hiWJpE6QLIUqFEP8ihPhICHFFCNEghHhBCDE+6LGRM24CUju91ZcluT0ZVS2yUrXnqwwXYuOKyiH1kqsWlEv3A2Ym13+9BrB68wE89dNDeGnbMUwek71BpWoGgtlRVhfJArrFc0vgR4t+85irY/tbJ1IlaxK1+XVyPE5GdWtIolhapOeEELcA+C2ASQD+A0AtgLsArALwoBCiyjAMbj3nQLJSET/IlIXYrVFMtEWzHTKLU61ey9j2fHZfZzMLn+p3tDromxc+XDzqr74SGP93PqXMNtFiFsFOlxNVYpMA2VBKZ9Xm1+7xWAAIF42y7HpTGS7EY5rumk2ZQYsgHcA/oS9Af8wwjJfMbwohvgfg6wD+B4A/C2hsaSXZgV5F6yq7ZALSJa/s8rwu0skJye5r6SToXzpvKkrHF+DFbcdQY/G4yQ76Cyom2T6BCwCL7yzFbTeMQcGIYdiyr8Xy+YjSyQ1j8/DRhe6gh+FafLJApsuJrPgkQLaU0lm1+XVyPA468UXZKfC/TiHEzQAWAmgA8I9xN38bwJ8CWC6E+CvDMLzvD5XGUh3oVbSucsLpAdCPDJLdE5KXr6VMFn7TniaseavW1uObJ+HYcc2ZOh4Ln9/paJw6G5mbgys9vUEPg3yWCQE6MDhZ4GdnFaskQBBZ4KA2crKaSbV7PI5vl0nkh8CDdACf7f/6tmEYg866hmFEhRDV6AviPwVgW7IHEkLsTXBThetRas7ugd6sz1PR6cQOuwdAv+oi7fzOfr2Wdg/6Tk/iqx+sGHLhkO51pwBw360TEcrLxRsfnGKATmktNlngV2cVAVjO0qkopZsxOYTa01Fbi/lzRN8x6tlffKhk8agTyWZSGYSTjnQI0m/t/1qX4PZj6AvSpyNFkJ7NnBzorerzvJbqAOhHXeS0wgJbP6fba+n0JP5O7RmsvOeWQd/LhLrTi909+HXdWdtdfYRwt36ByCsl4/IBeLc9vRUD1seq6vo2XHSweZQAsOxT0zApNHJQwsVOyU5sqc0XZt/ge5C+r6kDG6ojLFWhtKFDkD62/2uiuS/z++NSPZBhGHdafb8/wz7X+dDSg8yB3qo+L0h+1EU2tndh4fM7k9bm6/ZaqhpPJtSd7m3scPTzN00YhcZznb72fyayo+X8ZQD+z3DFHxuc1sJbldKZnJQ3OinfsyKQuquLle1Hz2L70bMA+pI2X7vvFiydN1V6HEReS4czt9kkiafaBGQP9DKdTrziZ1Y/WT25bq+lqvFkY/eBSFsn1iyehR/XNAVS/0qUiDmzFcQMl3lscFpGVzE5hKcempn0WGKnvFFFDf6tk0MYkz/c1SxEY3sXVm8+iO//+gT+7uHbs/IYSfrTIUg3z55jE9w+Ju7nKI7sgV6nEgiZukgzM/PMm0dQe9pZ//NE9eS6vZaqxpOtLRz/aftxNLZ3BT0MokHMma0gZri+/+vjmF4cclxGNzZ/uO1ANll5o4oa/NrTUaxZPAvvN7S7fqxIWyeWravBmsX+NFRId+xy4y8dgvSj/V+nJ7jd3PUhUc161pM90OtWAiHTW72qrAhvPf4Z1LVG8fr+ZvxbzUlcsFlfaVVPrttrqXI8Tl7fTMEAnXRkHnOCyN62XryCZetqHE9NOy3rswrmAChLFHRdvW6rza8dBvxtqJCOdGnvnG10iNK2939dKITIie3wIoQIAagCcBnAe0EMLh3I/mHo9gfldrOfR+aU4uUdJxw9Z/yJR/Y1KRgxTOp+qah8b+2+vkTkndgF7EHNcMn++ZulMqnKWRIFc3YX79txqbsHj1aFk9bBOxFEQ4V0oVt752wSeJBuGMZxIcTb6Ovg8ucAXoq5+TsARgF4hT3SE5MtFdFxisrNZj8q6rdlT5pb9rV4sgBJ9Xub6vWdVTIGn7hx/KDODU/+9FDWlckQeSV2AfuCikmOOqsE7fBHF7HklV0Js6l3lI7F+t9EEgZzKme2zNnC+Dr4nXUfLw51SreGCjrQtb1ztgg8SO/3NQC/BfCiEGIBgA8BVAK4D31lLt8KcGxpQaZURFcym/0A6uq3F88t0arDi+r31unrm41lMkRe2x1pT7uL3817mxNm4f3+faz6vU8vDuFSd490kA7o1VBBB7q1JM42WgTp/dn0TwL4LoAHAfwBgFMAXgTwHcMw0utIFgA3pSK6crq5hKr67a6r16Uex6uDu1fvrd3X18nzL5pTis37m9mfnCgD6fJnnWy20O36IJ0aKgRNt5bE2UiLIB0ADMM4CeDRoMeRztyUimQCVfXbunV4AYJ/b508/yNzS/BnP9qLKE92RKRYqtlCt8dA3RoqBEm3lsTZiJ/GDCNbKpIJVNVv69bhxRT0e2v3+avKivD9ZXdKdZAgsquifyt6yh52ZgvdLsbN1CSWDB0TVtmGQXqGcloqkilU1G/r3i0n6PfWzvNXlRXhucWzsHrzQZ9Gpd7tN4zBoY/83bac7JswakTQQyAfOZktlF1Ho2tDhaDomrDKJjlBD4BIJbN+Okck/7lkGRkzE+NEUAf3utYoNlRH8NK2Y9hQHUFdqz6ZxaXzpmJSaGTQw5DW3HE56CFQEiEGAllDAI7K+czzgEhxHoile0OFIOiesMoGPMpRxlFRv61rtxyz1ORwy0XsaWi3bGmmy8YSda1RnIleCXQMbpxPo9Z42WjR3FK8dbg16GGQDwz0dQ2ZGBppu9TPPA889dNDONGWvIOzjg0VdChZzaT2zumKQTplJLf127p1y0m2QUg8XTaWkF10RJRKZbgQC2+bjFklY3Gw5ULQwyEf1ETasfD5nUO+nywpUVVWhHf++l5s2tOEf9p+3DKp4XTRvdfBs247e+qasMoWDNIpo7mp3w66o4op1W5vVnTYWIKLh8grn62YBAC4aUI+g/QsZycpsXTeVCydN9VVgO1H8Kzjzp66JayyDYN0oiSC7qhid7c3K0FsLBH7Oh3+iMGTKrNLxyJv+LC02/zGKz/d34L7KiaxuwsBsJ+UkE3a+BE867yzpy4Jq2zEIJ3IhqA6qjjZ7c2KXxtLOCnHseO/3XsLCoYPw2t7m5VuJZ6uDjRfwE0TCoIehjY+PB21LH2g7OVVUsKv4DnInT3tJKGCTlhlKwbpRJqS2e3Nip2NJdwceGXKcZKpDBdi9YMVqGuN4h+21ql50AzQcI4XK0TJeJGU8CN4DmpnT5kSHi8TVrwAGIpBOpGmVC28TFYb7rbO0k05jhWz1Zr52ESUeUrH5SN3mPDkwlPlbpd+Bc9B7OypU/27botldcI+6USaUrXwMtHGEpv2NGH5+pqEJyHzIP3qnpMJH9ttOU4sAWDN4o8XHnmx8PTWyaOVPyYRObPi02H8j0dmwUEbc9tUHjde398sdT+nQbffO3s6LeHxMmGi4jyUyRikE2lK1YCsz4MAACAASURBVK5tVhkIFQdpVeU4QN8W7z/6k8pBGRsvdq07evqS0k1wKsOF+ObnKlDpcPMrIitLA2yZ6iezvvmBmcXKH1vFcaO6vg1LXtmFl3eckLq/0+DZ7509ZUp4vKDTxYKuWO5CpCkV03vTEiw2VFFnKXvArCqbgBHD+vIDFVNCeGROqeWUrVfTm1FFmTYhgMVzS7Fk3o1Yec8tePvwafzpxr1KHpuy04q7w/jg5PmM7loTu9lN8Rj1OxJ73QbRDqfBs587ewZV/24lyMWy6YKZdCJNmbu9udF4rgsLn9+JJa/sGgiq3RykY8lOtX4qPAEbHr0LGx69C6sfnJHwwK/i9/eSEZPdqWuN4s0DHwU9JEpjobxcnI1ewVMPzfSkDESV/OHDpO8bv9nN706qbdPqdrdLVWtsnAaSMsc62d/VTf27SqrOQ5mOQTqRxlYtKEeOgjN2bF2fqoO0H1O0qn7/RNyWvvQawJ/9aC8WPr8TP/vglKJRUTaKdvdg+foa7G3swEN3TAl6OAndNKFA6m8ydrObutYo1rxVq3QjqhwBLJpbgg3VEby07Rg2VEccB3Qq1tjIBs9OjnVudvb0u/49EV0uFnTHchcijdnd7c0Os65v0dxSqfvHH6T9mKJV+ftbiXb34J+X34mW85dxqbsHXdeu4+Udxx0/hhdml47FgWZuCJVNeg3ge5q3Hf3wdBRff6Aca39lP6A1N7sBgCWv7FK+KZcQwLQJo7B688Eht9ntDqJijY2b4NmvnT39rn9PRJeLBd0xSCfSXOn4ApQXh3A0QZ3q8ByBazbPlr0GsEfyRBR/kDanaJ2c2MblD8fr+1vwyJwS29mmVLvdVUwOQaAveJDRcv4yHq0KAwA2VEekHkOFL95xA8onjR7UH9iLgCZbFI0egVEjcjNmMywBIJSfi4uXgw9S2qJXsXFFZcK/yWmFBZgXLsRtN4wZ+Cyr3k/BdHPRKJxo60SkrdPy9t2RdixbV4M1i5O3EnSboXUbPAP+7OzpZ/17MrpcLOguu35bojSzaU8TnthyEEaSE5vdAN0kG7RYHaRXLSjH8vU1tk+85y9fw8s7juPlHcdRMTmEpx6aaevgb2e3u2//7BD+9beNjn4nYHBmJsgszZsHPsLGFZUDv+eG6gimji/Ankg7PJhEyHhtl66iDVcB9AeNNxXitpK+oHF/Uwee2HwwrV5XA3AUoJuVE178jttrz+CZh2+3vQOlyv0UHrytGLfdMBaj83JRMGIYnrDInsczAKze/PFuoFZjdvu3v/rBCiX9xL3e2VMmueK21t+KLhcLumOQTqSp6vo2zwKJaYUFjoL1RAdpN+UotaejtjJcsWJ3uzNPYr88dLr/hO0+MxNklqbXAJ558wjG5A93nT2fMjYPI3NzLDeLmVpYgEvd19Dedc3Vc6STxvYunOzowl3h2QOfoV8fPYufHzod9NA8c1PRKPzRvBuxcVcjms9fVvrYzecvD3T7sLMDpcr9FL6x8NaB5/v9F3baPj4aAJ7YfABTxuVb/n1NK7TuhGXXO7VnsPKeW1w9Riwvd/Z0klxxU8KTjC4XC7pjkE6kqWfePOJZpm/eTYU42dGl5CCdaoo2GQPA6i0fZ7jsSLY7nYzN+5oxvTg0kMEKktvWe8Whkbi7vAiv729J+N42ZUj5h1PmmoyS8fnYcfRMRgfoABBp68Sat2rx0OwblAfpgP3dLlXupxAbpNW1RhOWACZysuMyTnZYvxZuy6Li2xTqvMW9X/XvqehwsaA7BulEGqprjXraK/m2kjGYF1Z3kI6dov2Tf33fUSBoOOh/60Vd66GWi4O2v3aa3fGbAHD/zGJ0XenBtd5ejBqRi4opY/DInBKcjV5xVH6UzmaXjsUjc0qw/t2I7SDUnK3I5D7ksXoN4I0PvGkNarc8RFU3jvggTXY3UC9V17fhbPRKWmxx70f9eyq6XCzojEE6kSQvMyWv729R8jiJmGP14iAtk6m1s1mGyrrWeLFZVqd19n7rq02+hk0r5w+57cmfHtJ23KodaL6Av7ivzHGWOFsCdJMBYMQwgavX1X4w7JaGqVjnIQTw0Owp2NfYgbrWKKrKilB7Sr/3cdfxc3jmzSMJ/wbNVrhmQgAINuPudf27HTpcLOiMQTqRQ8nKLVRlSmpPXXR1/2Rip4xVH6TdZM1STZ+rrGu10mv0LS5bcXcYq+4vxwtbj2m7sNDqokZlWUG6+Oedctu2ZxvVATpgfwGf23UeobxcRLt7+vch+HgvgrH5w109rhe2HmlNecwwEwIdXVexrfaMFhl3L+vf7dDhYkFXDNKJHEhVbmGVKdFJoro+VQdpN1mzZPf1KwBt7riM77xxBAAwMjcHV3p6PX9OWfEXNdm2yQcAvN/YEfQQstKEUSNsHy9kA817by3Cr4+2JdyH4MJl/RY+270U6jWAZ39Rm/B22fNIuge5QV8s6IhBOpFNdsstYksnZE9QFVNC2H70rNR9E/Gjrs9N1izZfYMIQHUO0AHgcMvg2ZZs2+SDgnOu8yqq69tsHUtkunjMmBzCzrq2QGeySsfle7Lg1i4n5xE/ZncpGDlBD4AoXTgpt+jtXwwp65E5cruCzi4da/n9ynAhNq6o9Dy779UmGwxAh9rTOPiEnG2bfFCwnvzpoaS3m73+X9p2DLcWj4ZwsOV9LxD42or7KiYix+aYbf6YY3bOI5v2NGH5+pqEF0FmVv7VPSe9GCJ5jEd1Ihtkyi3sLIZMZHpxCLdOTrzLqJWKySH87C/uDnTKUyZrBlj3v439PQ5/dEHlMDNC47ku1LX2fT6q69vQkGDHxVRmlYzFwRa+vsncPKEAE8fkOW4xmskibZ3YtKcJS+dNHfR9Ny1ScwTw+P3T8b2tdaqGKW35/Jtwe8lYW51H7p9RjLePtHoyjmTnET9ndykYDNKJbJAtt0i1GDJZQP23D83EsnU1tqZ8BYCnHpoJwHldn+qgftWCctvjBvo6N8TWyavug57Jlr6yCx0uNiWaVliAZZ+a6lnXnEzxzCOzUFVWhDVv1eLlHceDHo42/mnH8UFBupsWqWYXD/PCM2iP/d/9eOqhmdi4ojJl55G61qhnQTqQ+DwiM7vLID29MEgnskG23CLR/ezWED63eFbKXUcFgDWLndeae1XHaHfcQP/YY+rkVfZBrwwXwgAyOth3E6ADfRu4rN58EOGiUWho69S2m02Qvvrp8MDns2D4sIBHoxdzNmd6cch1i1TzbrqUttWejg4s3ty0cv6gZEbXtesADBQMz0VdaxQl4/I9HYvVa+L37C4Fg0E6kQ2y9b5W93PSIcarHrJed6kxx51s45gZk0N48qGZA2NX2Qc9touNzj3PdRFp64QQQHjCKEQky2YykQBw762TBv7Nuv+hzCyv2xap5jHnodlT1A3OpfgykWQbFZmtIr1g9bnzanaX9MIjDpENslOE8feTrSFU3cvcjzrGqrIivPX4Z1DXGsXr+5sHNh8xd8eMH7uqPujxXWzs7GhHfTu/Np7rxJrFs/CT95vZ3hB92d3YEgGWCgx1qbtHWYvUvh1ST6X+QR+ZZSLNHV1JjyNeBehA38XihurIoGO/6tld0hODdCIbZBZEWi2GdFNDqKqHrN91jNOLQ1j94IykP6PqJG81s5BqNoI+1msAW/a14H8umoWFz+8MejhaiC0RkF0YnclG5+UqbZGq47V0TaQduyPtgY3t6f69G2JNKyyQeizOBqUXtmAksmnVgnLbLbmsNg1yU0Ooig5jsOL2JD+1sABrFs/CppXzLS8oqsqKsGnlfLz99c/g21+Y6XkNaTozL2TuChcGPBJ9fO/towN/A06OA9nATVY3nagI0CvDhfjm5yqUfH4a27uk7sfZoPTCIJ3IpqqyIjy7aFbKA2yiTYPc1BCqosMYrLg9yTe1901Fp+oFPL04hEerwvj7L8223dtYiL72lirlD9f70LtxVyOD0RhvHW7Fwud3YskruwDA1nHAjcJRI7x7cIXM2cK+hZRkRQD44h1T8PbXP4NNK+dj5T23eP75ScRqdpf0pveZgkgzS+dNxcYVlahMkGVMtmmQDjWEOozBioopWLOG3s4FRXOHvSyU2X3mrcc/M5CF/6sHpktPNQN9F3H5mncJefvIaVSVFeGROSVBD0Ur5uJGAYGNKyoxQ/HFm6m986pnG+SokiOAz1ZMwpJXdrEtZRIGgDcPnMLZ6JWB76U6j3jBanaX9MfiJCKHZBdyquwQI0uHMVhRNQVrp4beXDhra/paACXj+0pjYtcEzJ02XrprzCNzSrB5X4vzO/qo9eIVbNrThNf36z3OIJgXgxtXVCKUP9yz59GxNtuUI4BFc0uw5q1aLsi2weq4ZP7/0z87jGNnLnn6/Ilmd0l/DNKJJDldyKmqQ4wbOozBisoFeal6ATtZOGskCPqryoqw6v5yPL81+ZbdVn573NvSIVX+cftxBmAJ9BrAk68fROScXF1wuvt/q8L4l+pI2n0+bi4ahYZznYGMO/64pHJPCKBvIalVnbpsm17SQ+BBuhCiHMAiAL8PoBxAMYAOAO8BeMEwjO0BDo9IGVUdYtJ9DImsWlCurKd5ol7AKjcAGZMnl0U9deFK6h/SQJPkwrRska0BOgC8faQ17QL0HAE88/DtAJB0/4Z4QvRdrKtgHpdU7glh+tKdpfj92ycr3T2agqdDTfozAJ5DX3D+cwD/AKAawOcBvCOEeCzAsRHZVtcaxYbqCF7adgwbqiOWHVHcdohRQYcxWLG7MNeOZDu9yrC6XzZ0tCCyotMF3PybC1PW78eWe5j7N3z9gXJb91uzaLayTkfmMUPVnhCxRuflDiyM/8sF5Xi0KswAPQMEnkkH8BaANYZh7I/9phDiHgBbAfx/QoifGIah1w4HRP2q69sS7kJ3V7gQq2KmGs1ANFUWxcsaQh3GkIiqnuaJauhVLpw9E+2WeiwiUuej8934k0+HcaD5gqNdmVctmI5PTiu0tZtzyfh8JbN8o/Nyle0JEY/lLJkp8CDdMIwfJvj+r4UQOwA8AOD3AGz2cVhEtqSqKzS7QTy3aPZAx5dUgagfNYQ6jCGR2IW5r+9vxss7Tkg9hhXZBbCHP7qAl7YdGzSF/LuTF6QeKx1Mm1CARo3KOQT0XkhJwWls78IP3o0gXDQKaxbPQtfV67bLPew2AbCb2EilqqzIk3a2bK2YuQIP0lO41v+V88qkHbt1hWY3iJLx+YMy6jIdYlTSYQzJmDuV7m08r6yGXvai463DrXjrcOvAv28vGYNDLRelHkt3OQL42r23YPXmg0EPBQAwq2QMbp08Bq/tbQ56KKSxSFsnnth8EGsWz8ajVWFH97XTBMDtLJ95XPrlodOO75sMWytmNm2DdCHENAALAHQBsLU/tRBib4KbKlSNi8jkpK4wUWtApx1ivKDDGJJxsqA01QlLVReZTA3QAQzM+mze1+LJtLxTi+aWAgBeS3R0zzChvFxEud5BioGhCRGVYhMbG3c14EfvNdma4Yk9LqlsZ8vWiplPh4WjQwghRgL4MYCRAJ42DKMj4CERDeKmSwg543an13irFpRD6L5TTIAi5y6hrjWqzY6jl7p7sioIiXb3aL+R0e0lY4IeQkJmQsRL04tDeObhWXhusfPjkqrPcrKN8yhzKLmkE0I0AJjm4C4/NgxjWYLHGgZgI4AqAJsA/C+7D2oYxp0JHnMvgLkOxkeUlJsuITpnrXWlqobeXOSrqqVaJnp5xwm8vOME7goXYsXdYaz/TbD9sM2uFar66KeD6cWjcbTV2w1uZJl/a6rapXoh1V4J8WRL/mSOSzKf5enFo/Ff7pqqXUkieU/VvMtxAE5aHXxk9c3+AP1HAL4M4FUAywyDp1PSj8ouIWSP2xp61ZuHZLrdkXa839COFXcn7pzhBzPAUdlHX3c3jMvXMkg3yzZULaT0kp2EiJPOXInIHJeclvB9+wu3ZdVsEn1MSZBuGMYCt48hhMgF8G/oC9D/DcB/NQzjutvHJfKCbF2hynrEbCVTQ+/F5iHZoNcA1v8mgo0rKjExNBLf/o9D2HXCXrAuAMycMgaHT8nX78cuAk6HwFCViikhbD96NuhhDBJftqGqXapXUiVEZDpzJePkuKRzG1zSixYRgxBiBPoy538I4P8AeNQwjN5gR0WUmOxBkwfbYDzz5pGMDuwqw4VYNLdkUPu5knH5+NON7ldbmjW+jy0odxSM/cmnw7hhXD4Ov3FE6nkFhi4C1j0wVGlWyVgcbNGjzadV2UZdaxR1rVHcXVaEudPGAzBw/Ewnth5p1aJdZrKEiJvOXKqUji9AeXEIRxPsfDpjcghPPjST54wsF3iQ3r9IdAuAPwCwHsCfMkAn3cnUFbKXbTDWbquzvQW4zkrH52PN4tmYGBppa1pd5SLlmkg7nv3Fh44udA40X8CXPym/qO2BmcWWAUpVWRGaO7qwu6E9Y9cWyOwNoNKDtxXjthvGoutaDwCBguHDUNcaxcTQSOxv6sA/bj9uuevoXeFCPPG5CrxTe8byImp26VjcUToWJ852ovr4OU9/h2TBrYrOXG7YKb072hpFS8dlZc9J6SnwIB3A99EXoLcBaAHwt2Jo64UdhmHs8HlcREmpbA1I3qiub8MLW73t9OCXFXeHBwIFOxd7qjdNcdp20gzSphYWSG0jf8uk0ZbfN7OgmRqg62B03nC8W9/meKGuuY7huUWz8czDtye8mNxQHfE0SE+WEHHTmUtFkkWHLD6lDx2CdHPXgSIAf5vk53Z4PxQi+1hXqL+1245pMfWugtPPjw6LlKvr2/Dn98ltjPTyjuP42e8+wmcrJmH5/GkDAZKTLKgTAsCyT03DpNBIjM7LRcO5TvzrbxvVP1Ea2Ly3WfrvxgwuN66oTLipkNfHwvOXr6G6vs3yeYLuzBV0Fp/SS+B90g3DuNcwDJHiv6eDHieRlaXzpmLjikpUhgstb2cv2+DIZMx0JVMqpcMi5UvdPVg6byrycuVONS3nL2Pje41Y+PxOLHllFzbtafLsPTXQ95n5ywXleLQqjI7Oq548j6xZJWPw7S/MxMKZxZ4/l9troFS9yqcXhzCrZKzLZ0ns6Okolq+vwat7Tg65LcjOXNxfg5wK/ihOlObctgYkb6gu90glf/gwXL6mviGVbKmUDtm30Xm5qGuNorvH/TKj3ZF27PH4ossMiM5Gr+D/b+/+o6Qq7zyPfx5EBbREWqRRftkCLQpqBLFjeiMiI2smiatklJ0TmYRVBzNxQDNzVmcSs0nMDObMOEaTHWMSVrNozmCUONFVg0ExsYPIASP+AJvGbtpGaGxotRVQ0Wf/qLpYFPXj/r63qt+vc7Ckq27dh6rq7u/z3O/z/T78wvZIz+XVi9ve0a2XD9f85ga1tPXo+4+8oo0p3mtRKUXkxs9N0pd/viay85dKF0myMpffn0m/fn6bbriIxun9EUE6EBI/pQERnbjTPa749NjQG/8ESZVqrM+E1mL+jNFDtaHLe6WR5gnDQ50sxZG61NLWo8de2pHKNCkn5aJ5wnA9dt15au3u06+f36ZN29/Re+/v13Md6WrOXS5FpHnCcF392Qb97A/tkZ2/WLpIkpW5/P5MunPVFq3b2uuqbjtqS+LpLgAQhbjTPU48drAWz6ncJtytk4cfFShVqrW7L5QAfYCRvtw0VuPqhng6zknRSUNuvBcdPe+lNk2q8LVsrM/ohosm6e755+hL00YHeu6QPrYHqfTef/Pzp+nqzxbPW89njHTxmSfoK5/x0tg8qzBdxKnM5YXzWW7t7tPdLe360crNurul3XMaSpCfSU7d9mIpPKhdrKQDqEl+V5w+M/44/dFH5Yl39+3X/OaG0Op4d+x6r+jX3aZVhbGCbYw07rijPG/8zE/RSUNuvBfd73hpnh2vUq+lUzHEr6aGOo0ZNkQPrO/y/RzFuHnvv/n503T+KSN0y2Mb9WKRCkKjjx2smbnNw34/00tXd+jmS04/8HcvlbmMpMyggfrCj/5QtMKR286kUvDVeCeFx8oe1BOB1MraVV0/PQHAJT+17CeNzOjC0+p9BelOQJK/R2Hxoxt9d44svFTvtYV50BXsk4cfpfae99TeU3yyUEphik61XZ6vHzoo6SGUVOq19Fvx5uIzT9S1F0xQY31Gd7e064H1AQdYwO173zxhuB7+28+qtbtPS1d36KlNb6rrrWyN8K7c5uGlz27VsMGH+xpH4fegl+61VtLvNu4seb+XzqR+fiYV+tiq6KTZy2QB1YN0FwA1a9Gsia7TTwYY6aYAHf4Kj2usz+i8xuN9PZfDuVS/bG2n5i1ZU/KXe7FL4UFWsK/+bIM6dr3nOS+7WDUjP+kFSWlqqNOQIw5LehhFlarwE6SK0SMb3tCbfe9LCn8y5aci0fOdvbpvTeeBAL1Q794PfY2lq3fvIakplSpzeeGscLtZ6ffyM8kL0mFqE0E6gJrlrJhV+qVoJH3hjBO1fmuvWtp6NGXUMZ7OUyogCSPwWbq6w1PzEydQ8Hvub1zYqBe63va1MlvqkKgCkzB9kqKTvoGWq/ATJK0pv1RimJMpPxWJ3Db58avY69Q8YbiWLThXK64/T/M+PS7QO1+p7GT+OcPcu1I4BreTBVQHgnQANa3Sillm0EBZSb954Q3d+kSrvvvwK566a5YLSMIIfJ7a9Kbn5id+zz1pZEYXTRnpe2W21GpelIFJGIw+SdFxVpbTolKFn6BpTfkbKxfNmqhDG357k/9aevG9R16JLECXyr9OjfUZvdrdF7iiT+Em1VIbTcNcxS/kdrKA6kBOOoCaV6yWfevOPj2yYXugCihuSiQumjVRV/x8je8AoNSl/1Ly61N72SAnSZeeNSrwKlw2Z3aDXtz29kGdQudOHxvaptqwfWnqaF0+fYyWre3UA+uCb540kk4YOkhvvB1sE2pTQ50WVsgzDmNj7r+teFWTTxyqowcN1HV/NlG3PeEvyGsYfpS+f8kUzwH67Stb9WrENd/LvU5hNj5burpDF005wdX+keYJw/WDxzfqzlWvhXJuR6Ua9ageBOkA+g2nln1LW49u+12rbIClMzcBVFLy62m73SAnST94fJP+7NTgHS2tdGCzX2FQkj9ZWr1ll554pTvxmuSTRx0TuEJKPiv5DtDPaRimz005wXXFjlHHDvZ1nnyPv9ytx1/uPvD3McMG6/Ve95PD+syR+sbsRs2dPtbzuVvaevRDn5MCL8p9n4aZHvLIhu26b01nye+3wo2ml541OvQgXSpfox7VgyAdQL/jtRrGGaOH6tKzRvkqeXb7ys2+g9DRxw72vJIuHXxpf+70sXprz4da/Nimisd9bKUnXumu+DgvilW/cCZLTvfMpFfXmycM17ceeinSdAu3nmvvlWQqNkcrV+0nqNd798qocvMoI+n6Cxt9dcR1BPn+cKvSJtYwa/n37qm8ufWTq01vad65JwWu+FJMtfUnQHEE6QD6FT+Xtjd0va1/vexMzytTQS6jDzDSzEkjtPTZrZ6PLby0v3JT6RJyhaIImEq1aJcOTkVaurpDD7+wXW/5rOLhh5MXnKYGRpXK+i1b2xnpJksp+zkwRjqlPqNNRVJRwriSFGaaSSluNrEmUcs/e7WpU0uf7dQpIzMyRoGu7BWqtv4EKI53EUC/4vfStp/Lx37P5Wy++9TYY30F6fmBUxyBkBvFWrTna6zP6OZLTteIzCDd+kRrLGNyArilqztiOZ8Xzmrrcx27NfnEYw5cvWlp69GNy18MNaArxVpp6ODDteL681w10PIq6iokbvaMSMnX8n91R5+M5OrqhVtJ/5sQDoJ0AP2K38vAfo7ze64vTRt9YAXV66Xwwkv7QSYKYceBbja0xbUCmB/A3fDAhljO6ZWV9MC6Lj2wLvv3SSMz2rrrvVgCdIeThjS/uSH0544yJePUkRl9y2XfgzCaDAVllf2eG3z4Ydr74UeBnstPjXqkEyUYAfQrfoNAP8f5PdfkEz+p0+61IVPhpX2/gdCFp9VHUjKx0qQhjhXA/KZLrd19vvL+k7BpR5/2fvhx7OeNasU7igmZUbbW/2PXnefps5SGWv5WChyg+6lRj/QiSAfQr4TVUTSuc7mtMV7q0r7fQOjc8cdFUsu50qQhyg6lF595glZcf56WLThXx2eO1N0t7Vr86MZIzlVL3E70StUFLyWKLqf3XtXkK0hNey1/N9ym96B6kO4CoF/xc2nb7+XjsM5VqcZ4uU18QSYKThnH7KbOrbr32a2BU2DcTBq81nd34x8+N0kLZoxXS1uPvvXQS4FTG44YOEBzzx7ja89A3Gaecrymjh2ml994+6BSi27t7CtfTrJcpZn8EpyFgqaZfO38kzXk8IGh5cmnuZZ/JWkuCQv/CNIB9DtegsCgl4/DOlexhkxugpMwJgrZTZ1TNGXUMYGriuzs21cxL91tfXdn0bPccIykH3zpjAPNisKqijL37DGad+64qgjSz2s8XvObG9Ta3ecrSH+h6+2S91V6TStVqvE7IWtqqNMNF53q7SAXin2fbd7Zp4df2F72czbASOOOO0rtPe+FPqZKvnb+eN1w0aTYz4voke4CoN8JmkKS5Lmc+uJ/O2ui5jc3uFo9DJrX7gijnfmdq17T7Nt+r8vvWl0217nSuZzUhnuvqvyYy6ePOdCsKKzVeaebalSpOWFyPlON9RlNGXVMhUcfakPX20VTV9y+pk6lmmVrO4uObfGc02U8pJnEkXed/312x19Orfg5W3plk75/yZRE0mUuPWtU/CdFLIyNc5t4Qowx66ZOnTp13bp1SQ8FQIqUa6QT9uXjOM9VjJtVZGeiUGzFs5BT1/zeZzt9p8C4PZ+bqweVHnP5XatDq97R1FCnZQvOlZR9X69YsibWiite5I9Vkm566CVfq/8XTa7X5BOHHvTa+nlNS6W/tLT16KaHXtJrFVaivXxGo1DpcxZHDft8LePc9gAAGJ5JREFUhe8v0mHatGlav379emvttCDPQ5AOoN/zmkJSLecqFMVEIWhQMsBIS69sinSC0trdp9m3/T6U5yo23uZbntS2FFaIKTbWH63cHEod+tNHDdWL20qnwVQaV6lA+/aVrbqnpaNo585qybsO0kV30siMWrv7XKfHRf29A3/CCtLJSQfQ71VqwV6t5yrkN6+9nKCb7So1OQpDWCUEnSZTzlhb2nq0+LGNqQzQTUH6lPOe/2Hzm6E8v98AXSregbbc5tOxdUP09ZnjNXf6WN/nzLfi5R1avr5Lffv2KzNooOZMHa3Zk0dWPM7t983BXXTdb7geYKSbvnCaunr3uL7qRYBe2wjSAaCfCXuikB+U/Pr5bbpz1RZPx7tpchREWE1zJo3MHFj9jTutwYvMoIH6yRXT1DxheNngN0n5k7NKr2Xn7mzQamQCpbnc9fQW/fipNvUVfB4ef7lbmUEDde3MCVowY/whxwWpXuN2w3V+0N3a3acvN43VU6++qa7eQyeAo4cN1sxTjtenxh7r4l+NakaQDgAIRWN9RiMyR/o6tqWtJ7IgPaymORt39Km1u09v9r2f2gDdSAcC9DRPJKTs5MztGIutvnvxd/f/SQ+u31by/r59+7X4sU1q2/mu/uWyMw98PWj1Gsl9CVWp9N6JIwYO0Af7s42sunr3aumznVr6bGfZSQKqH0E6ACA0fleto2wRH2YA09LWo+Xrt0US+F585gl6ZMP2QPn9zmps2NVsovLvT21xPUa/qVF3Pb2lbICe71frujRhxNEHauqHNYGolGpWaTLgBOiF3EwSUL0I0gEAofG7ah1Fi3hH0KY5+e5ctUU7+94PYVSHuvaCiZo7fWzJFddTR2ZkJW3acWg5xMJNlbev3Jz6AF2Stu7e4+nxflKjfvxUm6dz/PipNi2YMd7Ta+h2AlEs1SzohCroVQakF0E6ACA0QTqcRimsLqZRBehOA6n8Lq+lNilW2sDY2t2Xuhz0MHlJjVrx8o5DctAr6du3X/e0tHt+Df3urQhjQhXHBmzEjyAdABCaMDqcRsFtF9MkFGvOU25zb6WNv2FVs0krL6lRy9d3+TrHf6x93ddxXvdWhDmhinoDNuJHx1EAQKjC6nAatjA6poatsFRiGKLM7y9l0EDv4cS4uiG+zuUlNcrrKrpjzwfx7K0Ie0JV6xO0/oaVdABAqNyuWkdd67lYWsjBNayDdUwNwxVNY0Pf8Bdlfn8p+0psbCxlgJFmT67Xz/7Q7vlcXj4vGZ+vxZAj4tlbEfaEKokJGqJDkA4ACJ3bsnNRBOhu61rffMnpmjJqaKIpMCMyg1w9zksDqiTzkk3uP+WamQ8w0pyzRmvJM94DdK+pUXOmjtbjL3d7Ps9/nz5G33n4Fc/HeX3tw55QJTFBQ3R4NwEAkYiiw2klXutaV5pMjB42uGhDmbBUCqr8NNIJs5qNV1bSpPqMhg4+vOTk7IJJI/SDxzd5nhj5SY2aPXmkMoMGekp7yQwaqK82N+jRl3YE2lvh5nMf9oSKjaO1hSAdABCpsDucluK3rnW5yURLW4++62NF1a1yQZWfRjrOv2Fs3RCtbd+dSCrPph19WnH9eZJUNEi9/K7VvgJ0v6lR186coMWPbfL0eMlbRaD8CYSXiVWYE6o4NmAjXgTpAICaELSudVyTCUe5oMrrhKN3zwdauWlnakovtrT1aH5zwyFlI+97dquvMS6ec7rv3P0FM8artbvPVUOjy6aN1oIZ4yX521vhZ2IVRnnQODdgIz4E6QCAquenlJ2bknVRpY5UCqq8Tji8rBTHwdnAWG5V2Ys9H3wU6PhbL/+UGusz+vFTbUVTXzKDBuramRMOBOgOL3srglzJCVIeNOoN2EgOQToAoOr5LT3npq51WI2QHJWCqqiaERlJX5o6Wu++/6GvzZRe7OzbV3FV2YswqpYsmDFeC2aM14qXd2j5+i717duvzKCBmjN1tGZPHlnyOLd7K4Jcyak0GSiVVx/lBmwkjyAdAFD1/AZxbo4LsxGSm6AqqlrXVtLrvXt08yVTIg/SW9p26b41naFNbMKsWjJ78siyQXkp5dKhwriSU2kyEOcG7GpXK68VQToAoOr5DeLcHldppdONn86b5io4fHnbO76e3w1n7A3Dj1J7z3uRnee1kJ877SvFYV7JKTUZiHvPRDXyUw0pzVLZcdQYs8QYY3N/JiQ9HgBAuvn9xevluOYJw7Vswblacf15nrtlNjXUuV69XdsR7ebPpau3qmNXdAF62KqhakmUV3LgzrK1nZq3ZE3JKxrOpt37174e88j8S12Qboz5oqT/IendpMcCAKgOzgZPL/wGf431Gf3znNM1wLh7vJfKG63dfdq6e4/nMXnx5KadZZsNFRo25PDoBlNBtVQtifpKDsrzumk3qpSysKUqSDfGHC/pZ5KWSVqX8HAAAFVk0ayJrgNnI2nO1FG+z+XkqVc6n9fKG3EED9ve8tacqXfPhxGNpLxqqloSx5UclOZn0241SFWQLumnuduvJzoKAEDVcRs4S9lNlDc8+KIuv2u178B47vSxWnplk5pKrOA3NdRp6ZVNnup7k/6Q5ee1S1KcV3JwsCCbdtMuNddZjDFflXSJpEuttbuMcbkccvBzlFp9nxRgaACAKuF1g2ex5jJeuC3P51bU6Q+jhw1WV6+3lXRJGn3sYHV5XIH36iufGaeTjjuqaitx+O1QimCiLL+atFQE6caYcZJul3SvtfahpMcDAKheTuC8bG2nbnzwRVWKmQqby/gRVuWNKNMfBhhp5inHa+mznZ6PnTnpeNclFQcYaWJ9Rq/ucL9S2dRQp+9ePMXzuNLET4dSBFfLm3YTT3cxxgyQ9AtlN4ouDPJc1tppxf5ISlcrNgBA5B5cv61igO5IS56qn7SJk4cf5To3ft65J/ka17xzT/KUg//tL5wWycbatIsiBQrl1fKm3VBGaIzpkDTOwyH3WWuvyP3/9ZJmSPq8tbY3jPEAAPq3MJrLBD1/ufSXcvd7TZu4+ZLsCrSb1vVStl60l9fGyZ1urM+UTSUqPE9/XVUOOwUK5dXypt2wphFbJO3z8Pg3JMkYM1HSP0m621r7aEhjAQD0c0nlqVZqpjJr0git3LSzYrMVPwGu28AwSO60lwC00v6AWm9pT/OheDhXn/xMPNMulCDdWjvL56GTJR0pab4xZn6Jx2zObSK9lHx1AIAbSeSpLlvbWTawfq59d9lAIn8Ta6UAd9xxQzR9XJ3e+2D/Qav/bgLDMHKn3QagxYL6PR/ul2Q05PDD1Nrdp+MzR1ZFwIT0qtVNu0kn5HRIWlLivs9LGinpV5LeyT0WAICK4s5TddtMpZLCTaz5Ae7Lb7yj59p3q3P3Hm3dlf3zwPrscV5bnkexyl1udb2xPqM3+96vqZbt5ZDqEq9a3bSbaJBurf2TpKuK3WeMWaVskP6P1tq2OMcFAKhuceepemmmUomzidUZS2N9Rs939mr5+q6yq/ReS0mGlTtdKcVn0ayJ6urdU/EqQ5BSmGnh5rWolgCx2tRielXSK+kAAIQuzjxVP5tUK8nfxOq15bnXUpJBcqfdpPhcsWSNZBVLKcwkuXktvE5EWJH3ptY27RKkAwBqUlx5qn43qbp53sb6jK+W53EEuW4nD9bDFYY4xx+mlraeUGvysyIfTK1s2k28Tnop1trzrbWGVBcAgB9Onqrb2t6lgp7W7j7d3dKuH63crLtb2g9pJx5VU5R39+1PdcvzMFN88lVLy3ZHS1uPrrl3XWg1+Zet7dS8JWtKvu/Oivz9a1/3MVpUE1bSAQA1K0ieqtvVzKiaohw9aGBqW55HkeKTrxpatkvZgPrG5S96ulogla7JH3VqE6oLQToAoKb5yVP1kl885IjDIhv3b1/a4evYqFueR5Xi46iGlu1OQO01QM8/vvDzl9bUJiSDIB0A0C+4zVP1upo5MYIVX2cTq99gOOqW51EH0dXQsj1ouk/ha5h0l1ykT/q/CwAAiJHX1cxXd4SbP52/iTWtLc+jDqLTuDp8cEOmjwKn+xS+hmlNbUJyCNIBAMiJOte6ksJNrGlteR5lEJ22lu3l9iYEUfgaJtElF+mW2uouAADELepc63KaGuq09MqmQ2poL5o1sWKFGkdcLc+dyUPY0tayvVKlFb+KTUTi7pKL9OOdBQAgJ65Vya+dP14jMke62sSa1pbnXurQO3OMcg9NW8t2t3sTvCo1EUlrahOSQ5AOAEBO68546nNfetYoTykdaWx57nXyMGrY4FSNv5Io6sAblZ6IpDW1CckhSAcAQNmV00c2bI/8POPqhvgKrNLY8tzr5CFt4y8lir0JmUED9ZMrppWdiMTVJRfVgSAdAABlV0791rz2YnrAXO60tTz3OnlI2/iLCXtvgjGqGKBL6U1tQjII0gEA/V6cVV0mn3hMLOeJWzUE326FuTfBa0CdxtQmJIMgHQAQumpIacgXZ1UXgqv0C6tiit+AOo2pTYgfQToAIDTlakqf01CnRSldAfS7cjrq2MHa9tZe149no1918PsZ/dr5J2vI4QNDC6hr6eoEvCNIBwCEYtnazrK5tM+179a8JWt0y5wzDqkFnjS/K6cXTBqh+9ZsZaNfjfFbaeWGi06NcFTob2hmBAAIzG1N6Y+tdOPyDYk2DSrG78rpvHPHafGc0ys2G2KjX/VJYxMp9C8E6QCAwLzUlP7YSnes3BztgDzy00HTSV2ZO32sll7ZpKYSx5fqJIp0cyqtMAFDUkh3AQAE4qcyypr23Wrt7ktVvm2QGtVs9KtNVFpBkgjSAQCB+E1daWnrSVUAG0aNajb61R4mYEgKQToAIBC/lVHCrEUdFlZOUQoTMMSNIB0AEIjfyihh1aIOGyunANIgnT8hAQBVw++qctpXo1k5BZAkqrsAAAIJUhkFAFAcQToAIDBqSgNAuAjSAQCBUVMaAMJFTjoAIBRURgGA8BCkAwBCQ2UUAAgHQToAIHRURvGHyQ0AB0E6AAAJa2nr0e0rN+u5ImlC5zTUaRFpQkC/Q5AOAECClq3t1D8sf1Ef2+L3P9e+W/OWrNEtc87Q5dPHxDs4eMKVEISJIB0AgIS0tPWUDdAdH1vpxuUbNGrYYFbUU4grIYgCQToAAAm5feXmigG642Mr3bFyM8FeyoR1JYRVeBQiSAcAIAGt3X1FV17LWdO+W63dfQRvKRHGlRBW4VEKzYwAAEhAS1tPrMchfH6uhORbtrZT85asKTlZc1bh71/7etChogoRpAMAkIB39+2P9TiEK8iVEMn7KjyTs/6HIB0AgAQcPchfxqnf4xCuoFdCgq7Co/YRpAMAkAC/ecbkJ6dDkCshQVfh0T8QpAMAkIDG+ozOaajzdExTQx2bRlMiyJUQ9iPAjdQE6SbrK8aYVcaY3caYvcaYdmPM/caYxqTHBwBA2BbNmqgBxt1jBxhp4ayJ0Q4IrgW5EsJ+BLiRiiDdGDNI0m8k3SNppKRfSvqhpN9LOlsSQToAoOY0TxiuxXNOrxioDzDSLXPOINUlRYJcCWE/AtxIy7t9q6QvSFos6VvW2o/z7zTGHJ7IqAAAiNjc6WM1etgQ3bFys9YUyVNuaqjTQmplp9KiWRM1b8kaVxtA86+EsB8BbiQepBtjxku6RtJaSd+01h7yUbfWfhj7wAAAiEnzhOFqnjCcrpNVxrkSUqmUYuGVEGcV3svmUfYj9D+JB+mS/lLZtJtfSDrGGPNFSWMk7ZL0pLW2LcnBAQAQl8b6DIFYlfF7JcTvKjz6jzQE6dNzt0MlbZF0XN591hhzp6SF1tqPKj2RMWZdibsmBRsiAABAcX6uhPhdhUf/kYYgfUTu9nuSfifp7yV1SDpH0l2S/kbSm5K+k8DYAAAAXPF6JYT9CCgnlCDdGNMhaZyHQ+6z1l6R+//DcrfbJV1qrd2b+/uTxpi/kLRe0jeMMf9srf2g3JNaa6eVGN86SVM9jA8AACBy7EdAKWGtpG+RtM/D49/I+//e3O3jeQG6JMla+4Ixpl3SeEmnSnoh0CgBAABSiP0IKBRKkG6tnRXg8FclzZb0Von7nSB+cIBzAAAAAFUjDc2MVuZupxTeYYw5UpKznbkjrgEBAAAASUpDkP6YpNck/VdjzIUF992kbNWXp621O2IfGQAAAJCAxKu7WGs/MMZ8RdIKSY8ZY34taauypRnPU7ayy18nOEQAAAAgVmlYSZe19hlJZ0t6UNIMSQslnSzpp5KmWmtbExweAAAAEKvEV9Id1tpXJM1NehwAAABA0lKxkg4AAADgEwTpAAAAQMoQpAMAAAApQ5AOAAAApAxBOgAAAJAyxlqb9BgiZ4zZNXjw4LpTTz016aEAAACghm3cuFF79+7dba09Lsjz9JcgvV3SMZI6Eh4KpEm5202JjgJh432tTbyvtYn3tfbwnqbLSZLesdY2BHmSfhGkIz2MMeskyVo7LemxIDy8r7WJ97U28b7WHt7T2kROOgAAAJAyBOkAAABAyhCkAwAAAClDkA4AAACkDEE6AAAAkDJUdwEAAABShpV0AAAAIGUI0gEAAICUIUgHAAAAUoYgHQAAAEgZgnQAAAAgZQjSAQAAgJQhSAcAAABShiAdqWOMWWKMsbk/E5IeD7wxxkw0xtxgjHnSGPO6MeYDY0y3MeY/jTEzkx4fKjPGjDbG/B9jzBvGmPeNMR3GmB8aY4YlPTZ4Z4w5zhhzlTHm18aYNmPMXmPM28aYZ4wxVxpjiAVqhDFmXt7vz6uSHg+CoZkRUsUY80VJv5H0rqSjJU201rYlOyp4YYz5D0lzJb0i6RlJuyWdIuliSYdJWmStvSO5EaIcY8x4SX+UNELSf0raJOkcSTMlvSqp2Vq7K7kRwitjzDWS7pS0XdJTkjol1UuaI2mopAclXWYJCKqaMWaMpBeV/Tl7tKSrrbU/T3ZUCIIgHalhjDle2R8wqySNlDRDBOlVxxjzVUkvWGufL/j6DElPSLKSTrLWbk9geKjAGPNbSbMlLbTW/ijv6/8m6XpJd1lrr0lqfPDOGHOBpKMk/T9r7cd5Xx8p6TlJYyT9hbX2wYSGiICMMUbZn68NkpZL+nsRpFc9LnEhTX6au/16oqNAINbaewoD9NzXn1Z2AnaEpM/EPS5UZow5WdkAvUPS/y64+39Jek/SPGPMUTEPDQFYa5+01j6cH6Dnvr5D0k9yfz0/9oEhTAslXSBpvrLfp6gBBOlIhdzq6yWSruFSek37MHe7P9FRoJQLcrcrigR0fZJaJA2R9Om4B4bI8D1Z5Ywxp0q6RdLt1trfJz0ehIcgHYkzxoyTdLuke621DyU9HkQj9z7PkrRHEr9I0umU3G1rifs3524bYxgLImaMGSjpr3J/fTzJscCf3Hu4VNl9Bv+Y8HAQsoFJDwD9W66qwC+U3Si6MOHhICLGmCMl3SfpSEn/01rbm/CQUNzQ3O3bJe53vn5sDGNB9G6RNEXSo9ba3yY9GPjybUlnSfov1tq9SQ8G4WIlHYHlyrNZD3/uzTv8emU3iF5N4JYeAd/Twuc6TNmVnmZJyyT9a1z/DoTO5G6pOFDljDELJf2dstV75iU8HPhgjDlH2dXzW621q5MeD8LHSjrCsEXSPg+Pf0PK1tOW9E+S7rbWPhrFwOCbr/e0UC5Av1fSZZLul3QFZd5SzVkpH1ri/mMKHocqZIz5urIphq9ImmWt3Z3wkOBRXppLq6SbEh4OIkKQjsCstbN8HjpZ2fSH+caY+SUeszlbWUqXkq8enwDv6QG5XyK/VDZA/6Wkv7LWfhT0eRGpV3O3pXLOJ+ZuS+WsI+WMMddJuk3SS8oG6DsTHhL8OVqffJ/uy/2eLPQzY8zPlN1Qel1sI0NoCNKRpA5JS0rc93lla6X/StI7uceiShhjjlB25fy/Sfq/kuYXVgtBKj2Vu51tjBlQUFM7o2zK0l5JzyYxOARjjLlB2Tz0P0m60Frbk/CQ4N/7Kv37c6qyeerPKDvxJhWmStHMCKlkjFklmhlVpdwm0eWS/lzZXyJ/TYBePWhmVJuMMTdJ+p6kdZJmk+JSu4wx31G2rwHNjKocK+kAwvYTZQP0HknbJH27yKXYVdbaVTGPC+78jaQ/SrrDGDNL0kZJTZJmKpvm8s0ExwYfjDFfUTZA/0jSHyQtLPI92WGtvSfmoQEogyAdQNgacrfDlS0PVsqq6IcCr6y1W4wxZysb1F2k7IRru6Q7JH2XFdiq5HxPHiapVG7y05LuiWU0AFwh3QUAAABIGeqkAwAAAClDkA4AAACkDEE6AAAAkDIE6QAAAEDKEKQDAAAAKUOQDgAAAKQMQToAAACQMgTpAAAAQMoQpAMAAAApQ5AOAAAApAxBOgAAAJAyBOkAAABAyhCkAwAAAClDkA4AAACkDEE6AAAAkDIE6QAAAEDKEKQDAAAAKfP/AYExIQwo7+E6AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 251,
"width": 372
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mu1 = np.array(0)\n",
"mu2 = np.array(0)\n",
"sig11 = np.array(3)\n",
"sig12 = np.array(-2)\n",
"sig21 = np.array(-2)\n",
"sig22 = np.array(4)\n",
"\n",
"mean = np.array([mu1, mu2])\n",
"cov = np.array([[sig11, sig12], [sig21, sig22]])\n",
"draws = np.random.multivariate_normal(mean, cov, size=1000)\n",
"plt.scatter(*draws.T)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.6666666666666666, 2.666666666666667)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x1 = -1\n",
"mu_2g1 = mu2 + sig21 * 1 / sig11 * (x1 - mu1)\n",
"sig_2g1 = sig22 - sig21 * 1 / sig11 * sig12\n",
"mu_2g1, sig_2g1"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "4112602254934abc887fffd1bff5e79b",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(FloatSlider(value=0.0, description='x1', max=4.0, min=-4.0), Output()), _dom_classes=('w…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from ipywidgets import interact, FloatSlider, IntSlider\n",
"\n",
"@interact(x1=FloatSlider(min=-4, max=4))\n",
"def plot_conditional(x1):\n",
" fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(12, 6))\n",
" axes[0].scatter(*draws.T)\n",
" axes[0].vlines(x=x1, ymin=draws[:, 1].min(), ymax=draws[:, 1].max(), color='red')\n",
" axes[0].hlines(y=0, xmin=draws[:, 0].min(), xmax=draws[:, 0].max(), color='black')\n",
" \n",
" # Compute Conditional\n",
" mu_2g1 = mu2 + sig21 * 1 / sig11 * (x1 - mu1)\n",
" sig_2g1 = sig22 - sig21 * 1 / sig11 * sig12\n",
" x2_draws = np.random.normal(mu_2g1, sig_2g1, size=10000)\n",
" axes[1].hist(x2_draws, bins=100, color='red')\n",
" axes[1].vlines(x=0, ymin=0, ymax=400, color='black')\n",
" axes[1].set_xlim(-10, 10)\n",
" axes[1].set_ylim(0, 400)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2D $\\mu$s\n",
"Take this into higher dimensions. Let's not compare two scalar $\\mu$s, but now do two $\\mu$s that are each a vector of 2 dimensions."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"mu1 = np.array([0, 0])\n",
"mu2 = np.array([0, 0])\n",
"sig11 = np.array([[1, 0], [0, 1]])\n",
"sig12 = np.array([[2, 0], [0, 2]])\n",
"sig21 = sig12.T\n",
"sig22 = np.array([[0.8, 0], [0, 0.8]])\n",
"\n",
"mean = np.array([mu1, mu2])\n",
"cov = np.array([[sig11, sig12], [sig21, sig22]])\n",
"\n",
"# draws = np.random.multivariate_normal(mean, cov, size=1000)\n",
"# plt.scatter(*draws.T)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([[-3.2, 0. ],\n",
" [ 0. , -3.2]]), array([ 0., -6.]))"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cov\n",
"x1 = np.array([0, -3])\n",
"mu_2g1 = mu2 + sig21 @ np.linalg.inv(sig11) @ (x1 - mu1)\n",
"sig_2g1 = sig22 - sig21 @ np.linalg.inv(sig11) @ sig12\n",
"sig_2g1, mu_2g1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Implementing GP Prior"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x2aaaee8bd048>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"image/png": {
"height": 255,
"width": 349
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import seaborn as sns\n",
"\n",
"n = 50\n",
"x_train = np.linspace(-5, 5, n).reshape(-1, 1)\n",
"\n",
"# sns.heatmap(x_train - x_train.T, cmap='RdBu')\n",
"\n",
"def sq_exp(x1, x2):\n",
" \"\"\"\n",
" Squared exponential kernel.\n",
" \n",
" Assumes that x1 and x2 have the same shape.\n",
" \"\"\"\n",
" diff = x1 - x2.T\n",
" sqdiff = np.power(diff, 2)\n",
" return np.exp(-0.5 * sqdiff)\n",
"\n",
"\n",
"\n",
"sns.heatmap(sq_exp(x_train, x_train), cmap='RdBu')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Draw from prior."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 251,
"width": 372
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"K = sq_exp(x_train, x_train)\n",
"eps = 1E-6 * np.eye(n) # \n",
"L = np.linalg.cholesky(K + eps)\n",
"\n",
"f_prior = np.dot(L, np.random.normal(size=(n, 10)))\n",
"plt.plot(x_train, f_prior)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x2aab3c601978>]"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 250,
"width": 372
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def true_function(x):\n",
" return np.sin(x)\n",
"\n",
"\n",
"x_samp = np.array([-4, -np.pi, -np.pi+1, 4, np.pi]).reshape(-1, 1)\n",
"f_samp = true_function(x_samp)\n",
"K_samp = sq_exp(x_samp, x_samp)\n",
"eps = 1E-6 * np.eye(len(x_samp))\n",
"L_samp = np.linalg.cholesky(K_samp + eps)\n",
"\n",
"x_s = np.linspace(-5, 5, n).reshape(-1, 1)\n",
"K_ss = sq_exp(x_s, x_s)\n",
"K_s = sq_exp(x_samp, x_s)\n",
"\n",
"mu_cond = K_s.T @ np.linalg.inv(K_samp) @ f_samp\n",
"sig_cond = K_ss - K_s.T @ np.linalg.inv(K_samp) @ K_s\n",
"\n",
"f_posterior = np.random.multivariate_normal(mu_cond.flatten(), sig_cond, size=100)\n",
"\n",
"for f in f_posterior:\n",
" plt.plot(x_s, f, color='grey', alpha=0.1)\n",
"plt.scatter(x_samp, f_samp)\n",
"plt.plot(x_s, true_function(x_train))\n",
"plt.plot(x_s, mu_cond.flatten())"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-0.07712566331575936"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sig_cond.min()"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x2aab3c646d30>"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"image/png": {
"height": 253,
"width": 349
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(sig_cond, cmap='RdBu')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "genesis",
"language": "python",
"name": "genesis"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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