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@nmayorov
Created October 20, 2019 11:21
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Colored noise generators comparison
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from scipy.fftpack import rfftfreq\n",
"from scipy.signal.waveforms import coloured_noise\n",
"from _noise_generator import generate_noise_with_power_law_spectrum"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"noise_kasdin = generate_noise_with_power_law_spectrum(2, 10000, random_state=1)\n",
"noise_könig = coloured_noise(2, 10000, random_seed=1)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x116b85090>]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Savx7cCu0S0/inOuglCkhAfG3P3CxOyNqliip6Snyex3NKGNKCCEqYWdEmKzjOfd+9fGsYJQdpDLySyplr+3rfgY7gM2oG4/ezV1vYsseHwiAm7nlY6b5mUUZBe6xz1t3DMd4CzOqrTWrZQ0hapNbVCiGv6CxpqKMKSGEqMRql34jYa+0Z2o52Qw+Nqj/dMMJv8bAn/776eEBqLbaZWtLPWM0cafy2d776yjn69W0Kp+QgEgtKpQiNZUvVgMezShjSgghKpHLiLCDUb3IdPoNHdNUGRMgv+CJjQlMbazG/4QQZUhtUyzG6XRKBqBfbTpVoza4oMCUEEJUwu9DyMbfUpQvViSLyvbfmzsGNSYxt3TLEB8Dq8SgpmVlCIm0d1cd9vvcFtOW4d4vtoned+GKGSv2Fyo1rIijwJQQQlSw/1wpKi3SwRw/a9mgTkxA17+hY3pQ4xJz4YqwuT7g2pmK6TDlT19Uqd6rhBCh5QoGk7/l1pyV+RSYEkKICpbvk3/T2X+ulPP1A9e0COj6TomW9q1k9teWwl9R/97d3QG4+p4yd7235ij/YQJTf90b8HMTQkLH3840mlFgSgghKli2V37v+IOsrUkBIPtQscSZ4tj7aN/Iyp4OaNUgoOsAQLP6CZyvb+4qnNr/bpuwAbhAzXlvJERVZy7511XDX1UyszPRhgJTQghRwbHiCtn76/LaNEmtuPVHYqy3wco3W055WkL5a01eke+T/GChBVKE+EXpmtDSKv8XUmkdtYsihJAIeHk0d/FSoMnGzHrxGNk5HSnxJk72FOD2Lu3XMtXntWraloaE1DZ7z5b6PilKUMaUEEIioEm9eM7XDRIDW/yk0+nw4T09MXNsF/y0k7voiL2b03XtGvm8VnfeLlOBePv2rkE/lpDa6rWleb5P8iHGx+5v0apm/qsIIUTj+J1L/ztGufZP7LVM/rx5LXiwr+f2vHt6BPRcyXHciTcbTecTEhYpCdxyoJrSa5gCU0IIUcHgtg1l79fxItPMegniJwZo2/NDOSv2/WmmnxhrxMk3bsLxGSMxonPjgJ6Pv6JfbJcoQoh/buuRiTfGdvbrXP52whuPXlBjSGFHgSkhhKiAqfvs37K+6P1yAePwDoHt+jSEFQQ3SopDz6bexU/sJvm+iO1ANaFfM9nH8APRQPf/JoR4vTS6A+rXifXr3KO8DTz++eV2NYYUdhSYEkKIwp7+abcne8HPKD5zQ1s8OqQ10pLjJB/Pz6b6ct+A5pyvJw9p7blt1If2Mv/EsKtk7+/bght4786/HNLzEVKb8GvAE2MMiDVK/872aeF7MWO0o1X5hBCisJ9Zi5G2nrjEue8RVtDIlxJvQmmVFUPbB5YxHXRVQ3z0j55ol54EgJuN5fcoDVS8j1KAJF6N6ePf5WLff28I6TkJqcnY+9pPHdEOibFG/LH7HBZO7AujQS8ZmB59fQQsdgc6vLRC9P4hPsqHogUFpoQQEia++ouuevJa7M0vxZC2vlfSs+l0OtzYibtF6ff/6ofTlyrRJTP4FfcAEB8jH5jqeendCovvrUsJqc3YuzSlJcXhvbu6YfYdXT1t3mJ4gemscV3QKSMFRoNedoen9o2T1RlwmNFUPiGEqOjhQa08t7v6CBIbJcVhaPs00VrPQPVrWR939MoK+Tq+JMYaMXGgdztVJ+3+RIgsdt9ho0EHnU7H6T3MD0zv6JWFDhmuoJNfm/7WuC6e2x+uO6bGcMOOAlNCCFFRIivj2DDJv0UN0eLbh1xtpp6/qQPnOC2AIkQae4c0k0g7tyvV/s06vHN7V+gCLUiPAhSYEkKIitjZz941ZOFCnVgjFjzYF1e3biB6/12fbA7ziAiJHsWsndZMBmFg2au593VCrENH9jOD8f7d3TG2RxPOzm4GBWZatIBqTAkhREVjumXgrRWHAAA9mga2h71WdG9aF7tOe1fb73l5uGy5Qc5pWplPiJTrZ2d7botlPA16HY6+PgIFpdXIShUuXmxWPxHN6icCcPU/fuaGtnhrxSEMaCXemi7aUGBKCCEKcrAWJzw8qBUy6yVg5wvXI5nXDDua3NO3GScwVaIGlhAizWjQiwalYpq6z6spOz9RYEoIIQoys+orH73O1RrK34bZWuWkFU2EaBZTDsBeVBXNqMaUEEIUVM3aCSlOplF2NGnr7o8K1LwFXIREO2YTDatMK6loQhlTQghREJMxNeh1MIqsuI1GXTLr4vVbOyHn1GW8OKp9pIdDCGExejKmDvy44wwuXDFj8mDpjTy0jgJTQghREJMxrSnZUsY9fZvhnr7NIj0MQggP03Jq/7kyPPvzHgDA8A7paN2oTiSHFbSa9cpJCCERxmRM+Y2wa7pofRMkJNrtOl0iOLYnP3o7Y1BgSgghCmIyplL7XddU17ULbBtVQmoj9kLC525sp8g1+7UUtoma/vt+Ra4dCbXrlZMQQlRWWzOmTerGe26LNQ0nhHB3fRrft6ki1xRbkFjm5+5RWkSBKSGEKIjJmPL3u67pbu+V6QlOrXYntZgiRESVxdu1IyFGmQ+vUossK8zSwemyvQV4c/lBTfY+DfqVc/369Rg9ejQyMjKg0+mwePFizv1OpxPTp09HRkYG4uPjMXjwYOzfz00tl5SUYMKECUhJSUFKSgomTJiAy5ejty6CEEI8i59qWcY0IcaIZY8P9HxtqyGtawhR0vELFQAAo17nWbQUKpPEhheD314n+ZjJ3+Zg3rpj+C33nCJjUFLQ35WKigp07doVc+fOFb1/1qxZmD17NubOnYvt27cjPT0dw4YNQ3l5ueec8ePHIzc3F8uXL8fy5cuRm5uLCRMmBDskQgiJOGYqv7bVmAKAyeh9g9RiJoaQSJs4fwcAZT+4GSQC0+Jys+jxKd/v8tw+X1at2DiUEnS7qBEjRmDEiBGi9zmdTsyZMwfPP/88xo4dCwCYP38+0tLSsHDhQkyaNAl5eXlYvnw5tmzZgr59+wIAPv30U/Tv3x+HDh1C27Ztgx0aIYRETG3NmALgZICsNicQE8HBEKJBFyssil8z0H7Ji1lZ0tIqq9LDCZkqH+lPnDiBwsJCDB8+3HMsNjYWgwYNwqZNmwAAmzdvRkpKiicoBYB+/fohJSXFc44Ys9mMsrIyzh9CCImkbScu4aPsY3A4nCh3LzpIjK19gamRlbmxUMaUkLAIZbHhJ+uPKzgSZajSYL+wsBAAkJaWxjmelpaGU6dOec5p1EjYXqRRo0aex4uZOXMm/vvf/yo4WkIICc0dH28GAGTUjfcEpnUTal+6UKfTIcagh8XuoKl8QngsNnV+J5gtSWsKVf81Oh03inc6nZxj/PvFzuGbNm0aSktLPX/OnDmj3IAJISQE89YdQ5V7Kj++Fk7lA97sDQWmhHBdUmEaH+DOVNQEqgSm6enpACDIfBYVFXmyqOnp6Th//rzgscXFxYJMK1tsbCySk5M5fwghRAvyCso8Naa1NjB1L/p6e+VhOGhlPiEe5dXq1HPq9Trc2198u2CzzS56nDGyc7oaQwqJKoFpixYtkJ6ejlWrVnmOWSwWZGdnY8CAAQCA/v37o7S0FNu2bfOcs3XrVpSWlnrOIYSQaMP0KYxXqEdhtGEWQP2x+xx+zsmP8GgI0Q41W6iN7NxY9HjHl1ZwvrbzxhBr1N7rVNCB6ZUrV5Cbm4vc3FwArgVPubm5OH36NHQ6HaZMmYIZM2Zg0aJF2LdvH+6//34kJCRg/PjxAID27dvjxhtvxMSJE7FlyxZs2bIFEydOxKhRo2hFPiEkalXW4lX5ABDDWiH87M97IjgSQrSFHRT+OlnZBFyf5qmix20OJ5bv885e80ts1Kp7DUXQi5927NiBIUOGeL5+8sknAQD33XcfvvrqKzz77LOoqqrC5MmTUVJSgr59+2LlypVISkryPObbb7/F448/7lm9f/PNN0v2RSWEkGhQ6d5tpU4tXJUP0HakhEhhmuunxJvQo2k9Ra+tl6kz/SUnHzd2ck3Z87O2WuyeEXRgOnjwYNkt53Q6HaZPn47p06dLnpOamooFCxYEOwRCCNGcCosrME2IUaXpiebRjk+ECC3YcgovLN4HAKgTG97Xhs5NUjy3Cy5Xce7TYsa0ZvUYIISQMOPXbFW6a0xrYx9TgPv9aF4/IYIjIUQ7mKAUUL9jxcODWnG+Zj4s55dU4s3lhzj3/d/I9qqOJRgUmBJCSAjYbzJpybHYk18KoPZmTAtKvVscUu6UECG1JxXiTNzQ7uNsVxP9a95ci9V53m5ISx67Bm3Tk6A1FJgSQkgI2IHp+TLv3tSJtTQwZTt1sTLSQyBEc9RqGzXl+jZo1TAR9w9o7tf5nVhT/FpCr5yEEBICq108/VFbp/IJIfLMKtV1Trn+Kky5/irB8Rs7aq9XqRzKmBJCSAhsEvVitbWPKSFEW5jd6NiuSqsTgZH4hwJTQggJgVS7lTgNNq4mhNQ+1SKBqVGv3fBPuyMjhJAoIDWVX1sb7LdskBjpIRCiKcxucJGy9cQllFZy61oNMn1PI40CU0IICYFU65dYY+18eb2lexPP7UQqZyAEZ3m9QyPhse93cb7W8kYYtfOVkxBCFCLVoFpuJ5aa7N+DW+HVMR0BaHNXGULCjd/rePWT16r+nL/8uz96NvPuLrX+cDHnfpNBu+GfdkdGCCFRQO1m2dHGZNBjZOfGAFxlDqepZRSpgXafuYy3VxwSrd+Us+7pwWjdSP3eoT2bpeK5G9tJ3h+j4Rkd7Y6MEEKigFSNaW1mYr3pXfvWWsnOBYREqzEf/I25a4/ig7VHfZ5rtrmC1/qJMWgexhpsLdeRyqHAlBBCQiCWMU1PjovASLQjhjdN+PexixEaCSHq2nr8ks9zqq2u14jkeJPaw+GQi0s3HLkQvoEEiAJTQggJQX6JcKq6T4vUCIxEO/iBaVmVOjvdEBJp205ewpd/n8Bt8zahTGJHpz35lwEAJy5UhHNo0OkoY0oIIbXOc7/sFRwzRukUmlL4C79+ycmP0EgIUd9//ziAnadK8HH2MdH731l5OMwjim4UmBJCiML+3FcY6SFoyrpDxb5PIiQKtUv3LmT6YK0wMHU6nWjVyFVXGu4WctH6AZkCU0IICUGrhsLFDOFc4EAICa8j58s9tw8WlsucCQx5ex32nS0DAIztkanquPiuSlN/9b8aKDAlhJAQjOjUWHDsyWFXRWAkhJBwsDv978RxktUuLdxN7WOMevz8cH/R+4Z1SAvrWAJBgSkhhIRA7E1qSNuGERgJIUTLIrEIMCHGKDiWkRKHt8d1DftY/EWBKSGEBGnnqUuYt05YVxat/QNrs+PFV/DIwhzszS+N9FCIxtlkehc7WLs8/bKTu+jPGIHdlsSytH9PvQ4pCeFtXRUICkwJISQIJy5U4LZ5m0Xvi9Y2LUrqllU30kMIyORvc7B0TwHeXH4w0kMhGmdzSAem7G14n/ppN+e+ACoAFCMWDGv99YkCU0IICcL2E74ba9dm8/7RI9JDCAiziGXjUe02HifaYHdI72Rmtkrfl304/N0ponFlPgWmhBASBKvMmxMBGqfEo02jOpEeht+o/IL4S24qn9l+VEyHjGQ1hiPLxMuYtoyCjiEUmBJCSBDkMiPEJT7GEOkh+I0CU+Ivuan8AwVlkvfxd0QLByOvxvR6Da/GZ1BgSgghQbhM22z6FE1ts6JxypNEhlxgunRPgeR94W6wDwgzptHwc06BKSFE1hWzDZ9tOI6zl6siPRRNSU+Oi/QQNK9FFEwbMihjSvxls0vPlvy0Mx+bJOqUp45op9aQJPFX5UeiM0CgtD9CQkhEvbbkAF5bmoexH/4d6aFoitwCCOLCDvYuVVgiOBLfyqttkR4CiRJyGVMAGP/ZVsGx3x+9GlmpCWoNSZJRzw3z8i9VSpypHRSYElLLOZ1OVFmkC/a/334GAHC+zByuIUWF9/86yvn6zds6o26CCTd1Ee4EVVux3xTPRMEbIiH+sPsITMV0yYxM+7SYCJQPhEq4JQAhpFZpMW0ZAOB/d3XDmG5NIjya6FFUzg3U7+iVhbE9MqOihitc6FtBaiKreypfrwOCiFEj6qLGZy4AypgSQtz+832u4FgpLfCR1Lt5Pc7XOp0OJoNe882rw4r1rY8M1LIAACAASURBVAhkf/FIGNimged2MBkxUnu8vfIQAPmg9JC7L67WRKKXaqAoMCWESKq2Sk/x11bHi6/g8e92wcLqZfjIkFYRHJF26ViRaWmltj/ksDPdVpnFLaT2yT5cjAPnvG2gzlzyvRD0hjnr1RxSjUZT+YTUUt9sPon3eHWSfLRSWei+L7dx3pj+PbgVnh7eNoIj0q44kzf3ofWuDgZeYBpncvVgdTic0NPvQa11tOgK7vtiGwDg5Bs3BXWNp4dHtm1ajEHP2SpV6yhjSkgtdPh8OV78bT+Ky+UXNDk0Pv0aCfxsSXpyHE3fS0iKM3luf7hW/kNQpLH/D63ubPi0X/ei/xtrcLlS+3V5RB0nLlSEfI1uWfV8n6Sifq3qe26P79s0giPxDwWmhNRCuacvS953qLAcs5YfRFm1FdQRybc9+aWRHkJUuK1nZqSHIIv9GYyZyv9u22mcLzPj262nIzQqopSDhWX4ZP0xWGzqvKjJdePo1TyygSn7Y3MkeqkGiqbyCamFxKZ12qUnAfDWRhWVm3GON/1aUFqFxinx6g9Qoz7bcFxwrKxa27WTkXZT58ZYurcADerERnoostizA/zghXqcRr8b52wA4Fqw9PAg/2vC2UGd0+mUnB2pnxgjerxJ3XhPWUiksIeczJrF0CrKmBJSC72weJ/gWMMkbuDwx+5z2HTsIufYYwt3qTourXttaZ7gWDT2CQwnZq9uX03JI429Ep/fjUJupx8SXfaeDWyGgx3U7TtbJnme2Sr+M5IYG9mgFAD0UVZqRK+opMax2h20qjYIjVO4W2yaRaa8dpwqCddwokZsFGzxF0nMoiKtB3fsjOmavCLOfVoPqol62DHd5IU7AQBJca7J5lfHdPTMBPx7sHgWlr9XfSREV1hKgSmpgW6btwmD31pHrY5EWO0OXDGLT0vulckGEGlxMZHPiGgZ04ZJ68EdO2P67urDqLR4f0+iaUUzURa75VlZletnIrOea2vR5g0SsfG5Idj90nA0b5Ao+ngtzKhEWcKUAlNSs9gdTuzJL8XZy1U4UECBFt+o9zai08srRO/LKyjDSQVWoNY2/VrW931SLWZ0Z4y03rSePz72tK1VpQUzJDycIXQXySv0/hwwWX+zzZX0iDUaEGcyICXBVbe57unBgsfHaCBjGm05Uy18xwhRDHsKP9rqasLh0Hn53Uhe/E1Ye8pG31KhEZ3SIz0ETTOGeSr/cqUFu04HXnKSe4bbqYL9s55AWfGo9lvuOc/tQIPUWcsPeW5XWFwBKVNPGsvLhjZvkIj/3dWNc4wypoGL/HeMEAWx6yKpJ3bgNhy5IHs/tTUV0kINmZYZ9a7vT7im8q97Jxu3frgJG44EtvUiv6aanSXVehkCkcf+0BFKu6j+7tmRC1dc/Z/Fgs6h7dM4X2shY9pCosxAqyL/HSNEQZQxDVz3pnUjPQRSgzGr8tcdKoYjDAHepQpXM/xVB86HdB0mOwaILwQk0YNdplFYVh30dbpkpmBvfqnn5yFepA2UkZcRiXSrKAB4fGgb3N0nC98+1DfSQ/ELBaakRmEHplqvaQu3/eeEbVJev7UT0pLiRM4m/kiJ135PwEhjVuUfKCjD0r0Fil9fqgNHqLuWsRc/7T9H9erRzMbaKcTXbndyjhRdwft/HfF8XS9B2LuUP4OihTKQOrFGzBzbBVe3bhDpofhFtcDUZrPhhRdeQIsWLRAfH4+WLVvilVdegYP1A+J0OjF9+nRkZGQgPj4egwcPxv79+9UaEqkFrDbvm5HqLaNsZmDfL0DlJXWfRyHP/bJHcKxpagJeuaVjBEYTndo3TuZ8veDB6MhARJKJlUFae7BI5szAzVyWh44vr8Dx4iuC+xZsCW23pgqzN2OaV1AW0gIaoh2hZL//OliElaxMPNM2is2g13FqOrVQYxptVPuOvfnmm/joo48wd+5c5OXlYdasWXjrrbfw/vvve86ZNWsWZs+ejblz52L79u1IT0/HsGHDUF4uv0CD1BxOpxMv/7YP76854vtkP7DbuizadVaRa0pa8wrw8wPA12PUfR6FVFmE7bNMBj0aUcbULw6HE3m8Tg/xGsiGaJ1B732bKb4SfLZKzMfrj8Nic+DOT7Yoel0AOM+b8qU60+jVskEdz20lOyzoJRYysKfzqQY9cKptSbp582aMGTMGN910EwCgefPm+O6777Bjxw4AroBkzpw5eP755zF27FgAwPz585GWloaFCxdi0qRJag2NaMjGoxcwf/MpAEC3pnUxsE3DkK7HzpLyd29R3N6fXH8XCjORWiT2AmkyBF6HK7ctX022RiTbZ6AVdj4ZWT9jvhbXBUtsepbZYtcfYtnQ//E+LNsdTmigXJAEgf2hIhzt3ax27/PxV+4T31T7jl1zzTVYs2YNDh8+DADYvXs3Nm7ciJEjRwIATpw4gcLCQgwfPtzzmNjYWAwaNAibNm2SvK7ZbEZZWRnnD4leC7d6p9smfL4t5OuxV1wOaBUd9TThItYk3KgP/CWgtmaOsg8LA1OKS307EKH6zJYNuSuR950txaMLc3D6YqXgXHYgISXUmlUSOaGsxO/dvF5Iz00L5wKnWmD63HPP4e6770a7du1gMpnQvXt3TJkyBXfffTcAoLCwEACQlsZtrZCWlua5T8zMmTORkpLi+ZOVlaXWP4Go7Mj5cvy5z/t/rURLC3bGlL14QRVR9kZ1vFjYPN/oZ8b02qu8mezaut1r3XjhQgeqH/ONv+Dpg7VHVXsu9oJH/uLHUe9vxJI9BZi0YKfgcVK7obGtPxxY+ymiHezXrIoA3xcsfnxokUM/N4FT7VX1hx9+wIIFC7Bw4ULk5ORg/vz5ePvttzF//nzOefwpQV/ThNOmTUNpaannz5kzZ1QZP1HfsHfXc75um+b/1JuUPfnelediNZWKckZ/gOZvxvSL+3p5blttTjgcTuw4eQnl1SqXS2iI2LR9Yqxq1VA1Bv/l/K0Vh0TPs9gcKCoPvpUPwA1ApBL7R4vKUWmx4TBrs4kBb6zxee2HF+SENDYSOeyfi0DfF0KuSaVZlYCpFpg+88wzmDp1Ku666y507twZEyZMwBNPPIGZM2cCANLTXbul8LOjRUVFgiwqW2xsLJKTkzl/CGG8suSA53alVeXANMqM7CzcoYjJmP73ZvmV+eyVpha7Az/n5GPcR5tx2zzpspuahmk5c1uPTM+xBCo69MnXzxZj3Eeb0Of1NThaFPziV3a5yqoD57En/7Igw2+1OzHqvY0Y/u56/H3UVfNabY3+D5lEGns6vTLAwFSsBCoQWmgXFW1UC0wrKyuh52VjDAaDp11UixYtkJ6ejlWrVnnut1gsyM7OxoABA9QaFtEIsZqf5fsLFW3JUunH9FxoomsqX2wHEpP7d9RXgb5Op/MsnrLaHVjs7nhw+LywTU9NZXNP6dVLMOHnh/vj90ev9uwDT6SVV/v3e8jMdvya4183DbHXij92n+N8ffPcv9Hp5RVYk8dttn/8gqusZcke7vmAsEE62w/bQ2tBRcLrxcX78OzPuzlrGQINTJkPNtNHd+Acb5gU69fjxZrwE3mqvaqOHj0ar7/+OpYuXYqTJ09i0aJFmD17Nm699VYArje6KVOmYMaMGVi0aBH27duH+++/HwkJCRg/frxawyIacd0760SP/75b+EYRrAVbVX4TibIaU7EFHkzGVG61NDOFHcMKTGvhonzP989o0KNX81R0yaQds/whtvhD7gPojzv8K8/6S6RLwvOL9ok+/wuLhcddhD/I02UyvM/9stevsZHIq7ba8c2WU/hxRz4n61kV4EzaKfdiuc6ZKZzj/mZC42Oo3CdQqgWm77//PsaNG4fJkyejffv2ePrppzFp0iS8+uqrnnOeffZZTJkyBZMnT0avXr1w9uxZrFy5EklJodcaEm3LL6kSPf7KHwdEjwfD7nDiu22u4LTaaldu0U7pWeDVhkBVdDTWZ4j9+5nAdMcp6X8LsxqZaS1ltTtq5XavzFR+MC22ajOx79b2kyWS51+4YvHruvwPU3d8tFny3IJS8dpVseToP/o18+v5ibZJdVGoCGAmjb1xQwIvwBzStpHk45rVT/Dcbt+Y4plAqRaYJiUlYc6cOTh16hSqqqpw7NgxvPbaa4iJ8a5s1el0mD59OgoKClBdXY3s7Gx06tRJrSGRWmjar3thttnR+/XVklnagK2YBtj9e/PUErHAlJnKT46T3lqzZ1NXuxRm2rqo3Iwzl4Qtd2o6T8Y0iBZbtVmRSI/Rh0VWxgfqq00nOV9vOxn4B8Va+Pmq1pDaktpsc/i9XTU7u8oPdJ+7sZ3k49gLJf8ztI1fz0W86BWWaIoajdsPF15BebUNZy5VKZM1jZItSPnkpvKHtJP+9P/BPT0AeKfyx3+6FSdFekHWdDb3z46/LbaIi1iG6lKFRbCLVqD6K9Ao3cb7nbi1exPBOXf3aRry85Dwc8i81F+u9C+xwI5F+bNEcru+vTbGlWCbcn0bQaaV+EaBKQk7ufqyCwpvWQgAo+du9NwOtPBdlFibqMvabVvmdDrxcfYxbDwqrCNlFjTJ7WCUluzaslRsX+jahNlYQJWp/PLzQN4SwFHzOkkMbCO+0cWI/23w3Ga/JrRu5No+stJiw7x1xyQb9PMb6Afj++1n8M2WU56vJw1qKTinfyv1dwoiyrPLvM/0fG11wNcLJGcyoHUD5L1yI6Zcf1XAz0MoMCURoMbGQVUWOxbtyvd5nlmJFlIOkRqlub1Dv65KVuw/j5l/HhS9jwlM6/jRjzOulq8uZbLtqkzlfzwQ+OEeYNcC5a8dYWN7ZGLWuC7o0VR6sRi7XdPRoiuw2R34ZWc+3lx+EHd+LF47qtSOOi8u3oc4k+v/NFEku6VkpxCiPiZD7+90vRz2NZqlBvZBSC6jSuRRYErCziY3xxKkRxfm4Ikfdvs8T5F+hWIZU5v4Yi4teOYn6e8Lkym9f0BzzvG1Tw8GAGSkxHmO1fZdjuxqZkyvuNsZHV7h+ru6FPjlISB/h/LPFWYGvQ539MrCr5Ovljzn1aXcRY+lVVZ8t801C1EusVglUcE3fub/VqxMY9fpy4o9D1HXe2uOoOPLK7Byf6EiW8gy71X1EkwUaIZR7Z6bIxFxuFC+9+XNczfi6wf6oG6CcAtIMaVVVqwRaR0j5vSlSjRlrZgMSpRNt/Lf2L9+oA9KKi1ITfR+f9k7GKUnx6FFg0RsmTYUKfHeRVG+ep3WdEyNrkHNxU/Mtd9w1zXu/QmYXip9fhQb39f1b3Q6nZw+kwBw7nI1DvioQW1Qx78+kv5gyjTESlrapXNXVfvanZBEzuxVhwEA//pmJzZNvS7k6zFZeeb/u2ezeth5SrqjBFFG7X6nIRGx9cRF2fv35JdilsS2hWJOXRTuAS/l9WV5fp8r6bxET0RraNsphsvJixUY060JBrZpKHo/856bnhLHyRKINeivLRwOp6cXoqqLn3Q1+3t8Ry/vrlnMFPkP24X12WI9SvmsCtYEMck1k8iHjmEduDsRKlVCQNSlxFT+kj0FAFyL9QBgxq2d0aBOjN+7mZHg1OxXQaJJry3lBocPXtNCcA4/gyLHxnsBSk2MwZLHrhE996ISi6satRc/bld+4ZYagg0wpabylXgD0DKn04nbPtqE9YeLAajcx7SGB6YvjvLunsNkoKf+Kmxa/+7qwz6vZVOqLzGLgfd/O7BNA8HuXnP/Oqr48xLliU3lv317VwDcPqNSqq12wftQ2/QkbH/+etzHK30iyqrZr4IkKvzr2pay2wD6wt/etE6sUTKrxZn+s1QGt3tTUmPx41EyxX9jp/SgHicVmO49WzOnmhkWu4NTZ6hqH1NfgWl1GbBgHJC7UL0xqCgpzoQXbnJ9sAs1sOR/IFUC8zq0aPIAjOuZidl3dENKvAn/HtzKc87ctRSYRoPSKqvgGLNb06mLlT4/UOec9k7Zs7PmVMahPgpMScTFGPQhNbrmbw0nt8J8bA93n8ILR4AZjYHFkwN/QqngYdc3gV8rAvyt3eUzSWRa/d2aL1rxe10qnjHlNEv0Ufa/eS5wdBWw+N/KjiGMmOBPrK9uIPj/L/5a8tg1mDhQOEsDeGtMuzeth7dv7+rZD/3ZG9oGN0gSMbfN2yQ4xt63fruPDRlq4+52WkGBKQm7tmncxQQmo17w6XVMtwy/r7do11nO1wkxBhgkXlQ8z/PXa66/dweReZLa9WnVS4FfK4pIZUzNSnQ60DB+AKR4xpSdaTfFy597PFvZ544Ak/vniGm/dXNX/3/XGb/lnsUfe84F/Ljv/9UPnZqkSH44kypzoSxZ9BH74MNueecrY8oOTFcdOK/cwIhPFJiSsOM3rDYZdILepk3q+niDZvny75OcrxNijcisJ15D5GkXdWCx39cXsEVHLWmwpN6Cpd60Ky3+7z2tJRevmP3qUXn2MrcVmOKLnxysKUex8ZS4G8BXXQbObPEeP/m3suMIE2aBEbPXfaAbNxwvvoL/fJ+LYpGtTvnGdMvA8yNdpQPTRrRDP/duUVJZfgpAa7ZAWt750xebqIMCUxJ232/nFpSLBTyhTKMkxhgke86JBlGB1plKZUzrtw7sOlGG3y6qY0YyAO5+0tHit9yz6PnaasmNB9hGvreB87VUSUPQ7OxaOJGfRaa3aSWvm8W+n5UdR5gw7cuqrHY4HM6AF89NE1ksxZhxa2ecmDnS83VqYgwmXtsSJ9+4CZMGeetEFf8/JFGB3Q7sqR93y/7sMX10SfjRbycJO36Te7EsRTDTdAy5vYlFW70EumjJJtEWSqPtouoleHuRPntj8LVy7GxD7+b1PPVa1VEQmJ65VIlJ3+zw9CB85Q9XQ/dP1h8P+FqhLNQTxd5JTGzzhj+fcf3Nrz+tkyY8Nwqwf14sdodfgWl+SaXntlQfyVfGdMSdvbOg0+nw/Mj2uCqtDh4ZIv5hsbZvFlFbJbOy84Vl1XiNt7ED0Qb67SSadOpipe+TJJy+5Opreo+7gTebVWwlsNgWo1JKTgEFEjspNe3r/3XCiN21QK5E4s5eWQCAJ4eLB6/szLZRr/fUa5VUCle/as3j3+/Civ3nPQsiLlZ4s97Hi+U3fODjtw8KmZVVKiC1K9oH/YSbdTfqIH6uxrF3bDJbHbJ7mjMKS70f+sTO/+upQbi3f3NPRmzitS2x8olBkk34a3NP3tqseX3utqL8MjCiDfTbSTTrR5HG2/7YftKVUcl2950EgMburTVFszN+BqaXKizImzvOe6BxV+AfvwJDX3Z9rdHaU6YxfGa9eNlWUTPHdsbG54ZgXM9M0fvZWSajQYeNR101gnJTq1pxWuaDzsfZgWVNFV+Vv/Fd722mF25sCvec4jxuAAtwa1OjSDNWcPDUT7uR68eWn+zfW35cmpUaj5YN6wQ0hmCm8m9xL8js2axewI8l6tt12veOTPogZzviTBQqhRN9t0nYMbWJbGKZjWd/2ePX9W7nBVLMqv/8Eu8beYE74+JZqRmf6n1A9pt+Pc///boXzWynvAdG/w9oPdRbA3hwiV/XCSen0+n5Ny9+5GrEGqVbO+n1OslFYwAvMFV6Oltl7GQjf8HTrjOBbTGowBbcXNs/9d721C+LPEnFBe7XNolaZ40b3Na749jqvPM4fsE1w1EvwYR37+wq+hh2YFo/kbuiPph6dPZDmBZys27rIvuY6929LFXdYIEEbfof6k3LL3lsoGrXJkIUmJKwE9tz/esH+gR9Pf4bk8ko/cbxS04+dp66BKS29B7c9J5fz7N8fyESdKysqMEdTBtM4g/QAAurdCHUujp2linUHpTh5/2ZeGExd0vZw+cDm8r3Z+o5IImNvLdtFlfkaxEZ0/xRvIFEZ2AqtfI9s14C0pLiRO8zsX52R3XhbnARTGDKLm9587Yu2DJtKO7onSX7GObnP/p+9muH3WfkM+9MmQd79zEp/A+vrRsFlpEnoaHAlIQd+4X9i/t7AQA6iGRR/WXh1Y0ObefKbEi9mNw2b7My24ca3YHpgMddf6cIa1oj7Qgr6Aq1ro6dKWKm8aMFO3b5NoDtbkWvFeJYBCpY+8LbLa7FeGKLoPjHcr8FPhoIlJxUekQRw/9dZrAz9PwPBsEk79mBqcmgR3qKeEDMFuMJTGt2396aJjHGgA3PDkHOi8MAAH1bpHLuL6kQfsBTY1cx4j8KTElYVVnsni0sv3mwD65rF/rKYubNbNKglph1WxdMHuJqC8P0LwSAB6/h7fSiRD2o3j0tzjRF99UcPQLYL7ChBqYGXmP5aJrND3ao7DplRvvGwX+I8slu8b929MxWoHAP8OdU9cYTZiWV4llg9s8xfwviO31kOsVkpfreK52PyZjyn59om8Pp+v9OiTe5v3by7hcGofR/HFkUmJKwmvlnnue2UitjmReRpqkJuKN3lqeOMivVGyjyd5sKtLWTWJakyu4OdwzumjcNTq2ys5zBFv6LXQsAPvpHTwDRsSWp3Gxv96Z1Je+774ttgmPs3WMUZ7cE1iUCAKwV6owlzIwGHXo0FV9YxP5/4Ld8G9tDfLGenH4tU/Hy6A74cVJ/vx/D/PxTxjS68APPVn4slGMHpoOuaihzJlEDBaYkrL7e7F08ZOLVPH75z95BXZN5o+AHuq0bJeHFUR0wd3x34W49pYFN54qt5n/8D3evVaN2A1PmBTaQnbSkGHiBbeMU1zWZTISW6WRypte0bhDGkfBcOsH9On87UF0a2DUM4ttrRpueTetxVuyzVVpYvU95gWmiTN9iKTqdDv+8ugX68KZ15Xi3UqVp3mjCT4gmxho5H7LFasbZJSXMB3ASPhSYkojhB5JD2jbCyTduCvg6zBuV2OKeB69pgVFdMji9JxMQeCN85lN3sdPbxmfVoUuuGwpkTM+XVWPDkWK/tsgMBPO9EVtwFij+HvHM9zsapr00W3Zweovw2JZ5gV3DIN6rM9o8eh23Gf6vkweInvfnvkLO1+Fq5cNspXr6UvA9lkn4iU3VvzKmk/d+kZcv5jUtzqSX3EWQqIcCUxIxSm0L6AlMZa7HXjzRWHdR8jwpTMb0b0dHAMAXthu9dyoQmPadsQYTPt+G74Ps3SqFye4osdMNfztX5pqiu2lpjNwe6BGNWcXGVe4OvPR+ZqL10f8yfm//Zqib4Po9+vqBPnh1TEfJaX2+cO1vf/ayNyCNht3OahO5D/RpycKFbXex6pJtIpGpRWIWjoQHfddJxAim193iA6zh80zlywRf7MC0yhl4hokJTI1wPdcpJ2vRFtMuyh5cw/MLV7wLsZRuVm+xu95AlQhMc1gNrO8f0JyzJanSmd5wkhq5g1e+MbBNA/z2yNXKPnnlJeGxvD9cf/O3IJVS5btBvdY9f5N3oeK1VzXEhP7NRc+LZEAYy3pd+mxD4FvZEvVIbWs7oFV9fHG/sERMp9N5diCTy5jGyPR9JuqhwJREjNSn0UWPuKbwkmL9e2NmMnZyGVj2ffE6kRX5Iq9Or/xxAG1f+BPVVrvnE3Q8XI+tBCu4ZaZSg1zpn1dQFtTj/OFPNtlf7H6RD17TAgmxrhdtm8Mp2eYnGki9qfFrzx4Z0hpds6QXSgVlxTSRJ3b/HPnbH7dO6J0two3fzF5u4weG0+nEukNFnGOK/3/IuLaNdxHMvrPiv7NWuyMqSltqGqm634UT+6FtepLofRXuuuXSKmFCQckSKBI4+q6TiJEKJBNMroC03GzDN1tOiZ7D5k/GlO1x4yLhQZG+pl/8fQJ2mwXL3n4AuqNrAAB1dK7dpCqcrOkhpk2U0x7wan9A3RpNs0z9baBGdvY2NtfpgARWBqnCrM2pzcLSahSVVaOgtEryHMnAlHe8U5MU0fOCdt7HTjX+ZkyTG/s+R2N8NbNnvHO7dycoq92JhxfkeL6+Kq0O5t7dXfGxSWEv/is3C4MZp9OJ62dno//MNbRyP8xC+WD818EiwTFLgO8pRFn0XSdhw5/ulZrKN7COv8jbpUeMxe6ADg7Em6WbvrOny3vrDwpP4GU7jxaVAwDGGjZgrHkxGv42HgDQQueq/6sAa5V7LKuvpSXw1j0VFvWCOrmFYYFi1/wlxZk4C8qW7S0I+fpKq7ba0W/mGvSZsQZy/bKlmmnzjycqvQhiHq9VUZJrL3Y0dE9r+5sxFZuLrCFSWduP3vTeBs59K58YFFQ/UiWIfRAz2xw4dbESFyssOEMLpMIqlA8CvZsLa5krzK56etp+NjIoMCVhw3//l+oHGeg+7BabA4dj70PXH/oA7swmX49m3hcfp9hyl29uAbZ96tl//LdcVyuohvC27mmEEjTSuer5Kth1qnq9N7sVxI5SNhWzK0oW8ccY9fj+X/3wzYN9BC2iDhaqV44QrEsiO7qI+XzjCdH/AztrevDdO7uqv8im1wOuv5n2Y/4ufjr4hzrj0YBr2nhbeR0pCmzrWDWN7pohe380LAisScRaBvr7mrc6T5gxvf/L7QCE71kkPCgwJWHDX/0otciJ3y/Tl062/TDp3BmMv/8neo7PBVXndgHLngY2uR7/4w7X6ngH61ekDyvTWgXeSs8Q6kzZWSGlMRlTfs/YYPVrWR8D2wgbTke0F6iEQN5Ttp0QLkJi15iO6dpEgRHJuO1z7xa3Zle2HgYj0P9R34+9HNoWq1pm1OtEGxeM6SYfGKplSFvXz35SnLDMgj0hZKNep2Fltbm+3+wMZ8Mk/xa5fvE3t5cwe2bvqIY+DNUmFJiSsGHHpT893F8yAA00Y9rcznpjNoq/GLGzs6IZU0beH4DdhmsN+1AHldBBPPPBLH7yZOVCaLKvZnaFySTEqtT2pF/LVPfzaO+NOJBOAeM/24ryam7dIPNBSq8Lfdcsn+o289Yqm91vhnojMPw1YGrNDTx90el0orXo/J664cKUr4jVJbP7ZVprcHlFsMqrrdhwpFiVGSJmZshk1OPLf/ZGh8bJ+PTeXkFdS4uvwOh/fgAAIABJREFUZbUNBaYkbNgZ084yC0kCzZhWO1g/xhKBqd8tqAp244M3nsRbVS/jq5hZkiFspXsq39Pbk5UxLa2y4uPsYzh3WXrBDdtaVvF93QRld1FSssZUTByrZVQkXaqwoIpXqyu1qEkKf6r4l51nAQT+8xgcp/dn1+Ieh07vWmUWlwJ0uVP+4XlL1B2eCrq5V9QPaFVf9jyxKdlI1f4Z3OlbsbpkTmBKU/kCt3zwNyZ8vg1vrzys+LWZD+Amgx5D2jbCsv8MRIeMZB+Pkr8WiRwKTEnYsAMFuaxoINkQp9MJs4N1LYm6PHbbj7X2bt47koVTtNebXXWqvfSHoWdlTBN13hX31XBlSL/b5s5muWtLdx3IQ9f/rsTMPw9i3LxNfv0b2E31lV6hr3ZgynxfqyP4Rny50oIer65C79dXc44H8wZzvqwajy7MwS878/HmclfpRlgCU7sVMLozplb3wpkLrDfwGNZWnTqRD1k/3KPe2FTy6b298MJN7TF3fA/Z88SCUKmFk2pjFmbaRX622LHq5uOBb+JR0x0rdi0M/Sj7mOLXltqWOhhUhhF5FJiSsGEHpnJv9lL37Tpdgse/28Vp/WOxO2B1st6oneLBCHsqtgR1AADf2YaI7jNugbd+TM+qVMxg7RhV4a4xPXLend2qcjWf77J+kuecc6WRbx1lVnkHE+a/dMuxyL0R78l3LVC7YubuTGWxBfYGU15tw7M/78GSPQV46qfdnuPV1jAE3U37S2b7AQCDpnpvj3pX/fGEQcOkWDw0sKXPGmujhqbymWnoUyKr7tmdP+asPhK2MRHg1EXX/0cwmfTGKa7X8qKyary4eB/2nSv18QiiNgpMSdgwgalBr5Nd4SyVTb31w034ffc5DH93vedaZpsDDXSsFeEJqT7HUQeugPEikkWDARs7MNV5g5tyZ7zgHH7oY9AF/mn7oWtaeK/rcAp2HAqF2hnTVQfOAwCWRrBdFLvxP7uuVGyrwXE9MyWv89Jv+3D8QoQWO+j1gF6m3CQpDXipBJheCiTIT33XNCaR14NITeWv2O/6ef/y75OC+z746yjn69Xu3w2ivse+2wUAOHnR/zZdT1x/FQBg0FWuBW1P/rgb32w5hXs+26r8AElAKDAlYcPUZRl8tN1hZzfFYtTyahveWXkIAGC2OnCzgTVlntjI5zhi4VrkYnGaAIdNcL8V7ADBG+iMNLhesJbbvVvc9W8ZepBQWMbNrCq5i5LagakWsH9G2AsXxKby2zSqI3mdUxcrtd0SlMkS+tt4v4YQm3kQy6JGytGicjSfuhS/7jrLOf7Q1zsiNCLij1iT62eIec3Ykx/9W/vWFNr57SY1Hjtj6sv/7nLVgdaR2Jb0w3XHcN076/DzznyccbKC0WN/+bx2rM4dmOpMwMWjgvv76A95bpvgXVDTQ+86txreOtb6dUJv9bRkDzfbaFZw6tjix3at0Y79QYYd1F+4IuyQML5vU9lrOQJYya84g3/tbfxuvF+D+fpwG07Xz14f6SGQIDAzc8zMiup9ionfau67FdEcWwCBKbPLEBNoiLUYOV5cgTeXH0QZa4od+dvEL3ilCHnp0/Fz1xyMbO9ucaTzHVTGQLj1oNnpfZyvQvmlewKf4jbblVvhzgS9NXnPZ/ZPk9ndHWDmn3mY9M1OwblJcd6g7oGrW3DuG9k5PeCV/EG7yFoA0s29cMngZybUFO/7nBqO2jGRUDEf1s1WB26csx6lVcLXehIZNffdimjOw+5Agb9IRQwzzWK2OeB0OrFJZnFNks6Ptkzr30L85cPodehtGB2uRQpVDt+BQDyEWbdGqSlIcmdyp/66B5uOSm+F+sjCHMn7pCi1ACrndAmq3IFaTZ7KZzfCX+PexeXj7OOS5++dPhybpl6Hl0Z34BxPiY9BUXngGyQEzOEA3metRL/mCdff/NX2w14Rf7wpMttwasmCzaci8rxyNcokMoKtyWcSpMv3F+JgYbnoOd882CfYYZEQ1Nx3K6I5h86L//KLiTW43qSdTlem1S4zxZoIVg1aVj/xk8rOeW7GHP0TAGB2+p4STdIJi+mHdMxCP3fvRavdifGfbQUauYKcSqdwOtZX26I+LbgLtpQKTA+zXmzVWpX/4T3eAOt4cWQWDrGz1s/+ssfn+UlxJmTUFWYdlVx0JsvC+z3Quf9vmvJ+dtuPFn88BaaosESmb+7dfVylIE1T6f9AK8R6yvoj+1Cxz3PEdrkj6qPAlGgSkzEFXIGaXqb+h91fFA6J6ZgCYcDCbgslJRkiqzyNccIat8Gudj77nc0Fp7d5/k+cL5NuHcUPXJnyhS82nsAj3+YEvVMK++VarYxph8beJtazVynfONsff8tkrAMR7BtcwC7w6pqZxUz82lEjb9tbhkniOFEd8wGP+Z2V212se9O6KA5HBr6WE+u+4Q/qVqpdFJgSTWJn+Mw2h+jqfAB40vgj+rL2sJfcEtQufIMww4RLQ96QHUeWrkh40BiL5fsLecdcwUI8xN+I/u/XvZLPses0dzUoMx39ypIDWLq3IOhWTL/nerPEajWJZ3+AiMSOKe+uOoyP13un7bNSpesvfQXnYgufHh/aBidmjgx+gHxOJ/DZddxjOolxSS2GkthEojZZ+cS1EXlek9H1e8Ss5F4l0xJq1+nL6P36apwR6Xla27y94pDvk4LE/kCZkeL/h7ZEiYW1JPJUDUzPnj2Lf/zjH6hfvz4SEhLQrVs37NzpXZDgdDoxffp0ZGRkID4+HoMHD8b+/fvVHBKJkLLqwArL9XqdZ9WkxebAFxtPCM5phBI8blzMPWiXqF9t0lNwyIwYnGk2VnYcrfQiQaHYqujEBgCATvqTMEA4zXjiYoXs87C9t4bbnLu82ndNLl+Vxc7ZfUZ2tbkt+KwO+wNEJHby+x/ve5UcJx20DeuQJjh2/4DmnttiGdOBbRoou1q35KTwGHtXJzajxOI8qT6mtWRB0KHXbsRVaUkReW7Pghmb63f8az9qXeWC19pi7lph9xOlsEt57mX9PvuS4O821STsVAtMS0pKcPXVV8NkMuHPP//EgQMH8M4776Bu3bqec2bNmoXZs2dj7ty52L59O9LT0zFs2DCUl/tfi0i0b9y8TegyfWXAj2PaANmdTqwVqQd61fSl8EFSGdNW1wkOWWDEhSpgrHl6YAMT2S0KMd43ymNxE/CY4VfO3VcCCC75fUyDmXIq530QkIxZzmwDZmYCG4PbTYiddajwY1Gb2m7omC55n9jGDS+N6oB7+zcDIF5jqnzdqcj14uuJnyqVMTXGAA+uAuq35l06MnWXauN/Log1Ri6gMLl7yZZX22B3OLHrdInPx0S0BZkGqF27zZ7Knziwpd+Pm+D+vSfao1pg+uabbyIrKwtffvkl+vTpg+bNm2Po0KFo1aoVAFe2dM6cOXj++ecxduxYdOrUCfPnz0dlZSUWLlyo1rBIBOw45fvFWwwTSNglWjIN1u8WHpSqMbWLtX0y4cH5O5DjvAqtq7/2f2CigSk36/WU6WfO10XlZtFa0YVbTwuOCd7Hgnhj478XSF7ht0ddwfzq6UBF4NuKxrGyDkwWKVzYW9My5IIAsXIGvV7nyb4dKCgT3N81q67gWEjExieVkZXrV5rVB7j7e+4xR80MTL99qC+a1I3H8A5p+PM/AyM6FvbP18mLFRjTvYngnPRk7nTyvHXK7w0fTdRu7cW0eIsx6AMqWerUJEX2/kDKAoiyVAtMf//9d/Tq1Qu33347GjVqhO7du+PTTz/13H/ixAkUFhZi+PDhnmOxsbEYNGgQNm3aJHZJAIDZbEZZWRnnD9GmsmorRvxvQ9CPZxYYSa3IP+UU2eVJaipfJGA1sxrl2/xYCOUdmEhgKpX1YhFrk/V/i4S1p8M6pGExaxeZYBIO/AAtziTxq36J9aa544vAn4jFR0tXxa0/LMyiy/WVvVQhnk0/caGC8zcj3mTgBN6KkMroM2773HvbVwkBvwSghmZMB7RqgL+nXodP7u2F9qzFdpHA/i9xOJxony4sKXh4EDdrd1Hi5662OCTSiknJLCrzO690Hf3HE3opej3iP9UC0+PHj2PevHlo06YNVqxYgYcffhiPP/44vv7alZkqLHQtHklL49Z9paWlee4TM3PmTKSkpHj+ZGVlqfVPICGat+4Y8kSyUP6uEPdM5Uu8iB1wikzFSC5+kg9MAeA560S/xgWnSAYgxnf7GF9toJgayL4tUjHlh1zPcSbIXL6vALOWH5RdCczgB2jXtxfWV7ouzgqWRXbBCoQ9zDWOlyuF/6dXzDYck2hbtU6iPczaQyIL3MBd2KWYKh/bHna8FWg5GOj9kO9rJWcAQ1/2fl1DM6Za0ijJm0U7U1KJYpHdxZLjaXEa24FzwvcAJbOoTG240aBsYNo5Uz6jStSjWmDqcDjQo0cPzJgxA927d8ekSZMwceJEzJs3j3Mef2GB0+mUXWwwbdo0lJaWev6cOXNGlfGT0F2uFA8St04b6tfjmU/AEz7fKnp/nMiuTHBYXW/QNt5zO4TZSn5gut/hZ83RuV2yq7+lmH0EpinuNzQrL6hc5M6ePrwgBx+uO+ZZtS+HX6fqV+bP352HJPjaBUtJVrsD34qUQXy16SSGvpMt+hipjEpmPfEPFWKBb8hWvSR/v94A3PsbcNM7/l1vwGPe2zU0Y6ol8THe3yOnU7hQEYhsDawWJYisflfytYKpba/J2y7XNqr9TzZu3BgdOnB3Vmnfvj1On3a9maSnuxYp8LOjRUVFgiwqW2xsLJKTkzl/iDYZ9eI/XvUS/dtfngkkCkrFe4CKtmayW4EP+wOvNeQGpyIZUwuvwb4Rfn6K1+ll+6pKketlCni31nxz+UHO8T35pZyvC31cB+C2bmpWXyabG8eqoQyxDVGPZr7LGZTyn+934XSAbXikMu/P3tBWiSH5h79lbuthoV2PvVtULVmVH2lt3TXJD87fIXq/WAeScNdfa4nYZgRKtpZjdrdLjqP2TzWFaoHp1VdfjUOHuL3LDh8+jGbNXFmpFi1aID09HatWrfLcb7FYkJ2djQEDBqg1LBJGodb8iM1Ys/d8j9WJZLSslcAF98/dimnArm+BdW/4rDEFgB56YfZDlE6PSt7OM/7UTI37aLPs/T/tzJe8bzWr5Yw/uQb2C//Tw2UCL/YuQmIlCn54fGgbAJDsNauGZXuly30ClSWRMQ2L8T+G9nj2hz/KmIaFrx3sxD4I/rRD+ne7pvst96zgGH9WKBRM9tVIGdMaQ7WPGE888QQGDBiAGTNm4I477sC2bdvwySef4JNPPgHgmsKfMmUKZsyYgTZt2qBNmzaYMWMGEhISMH78eLWGRcJIrD1PIC5cEWZEk+KMMLvrukzw0Z5o+2fe282Fq3ktvMB0o6OTfwOr21RQ52l1OCDR3EcRH2V7Fyn5U2PKBKaxRj1Gd82QPrGCVRaQMx+4ZgqQ6n/LFeY5AMBqi862OOzpWdU16QWcdWfaRsziBpbB0hlcQSnVmGpC4xRhmU9plQplIVHiy79PCo4Fu1uTGKYGP9T3G6Idqn3E6N27NxYtWoTvvvsOnTp1wquvvoo5c+bgnnvu8Zzz7LPPYsqUKZg8eTJ69eqFs2fPYuXKlUhKikzzZKIsNbZ4ZPfN9BmYspWdExziZ0yPOpvgnE7YB3PDtbz2ZV3vxqf3cldsKpkBEMO++u4zpZLnMZjxZNaTqYXd+7Ow9nbpUwGPjb9No1Z9fp/4Klu1tmsV1e4m19+trgP6TlLmmkym1Ez9n7VAsF0x/PswWZv4WggaCOZ9JpjyKqJNqr4ijxo1Cnv37kV1dTXy8vIwcSJ31bNOp8P06dNRUFCA6upqZGdno1MnP7NWRPO+2nQypMc3F5kSS4oLMjC9JOwlaAc3U3ZkxiikP8/beWzk2yhv2IN7zGBC96bcespg97Nn1E+MwccThLtTMdjtn37J8T0tyCy0qrbKjGv1dOGx6sDbr5ncq2H5C6604v4BzXFsxkgMlepMAO/CM9UxQWRKpvLX/qC38tckAROLj9T4kB7NluwJbptlMQ6FVuU/cf1VuKlLYyWGREJERRlEs8SmxOJYK15NIlt/hsKg10FvZFW3JNQHev4TRr0O+c4G3uNG4aS9xe7AhzEPyF5fbko9Kc6Ilg0ktqaEa9/tQHyz+SQA4OxlYRN6D9EG7oG/gZqM4c+YBvIGckv3Jj7rncWmWhPUmOJnpjB1KpUP7F8sutCPqKtP81TPbbHkqNTCu9qqVUPp17pAKZUx/c/1bUSTIST8KDAlmsXe653BfvEJKGMajCH/BxiMqF8nBpm6C97j7q0iG9TxBqg2uxOpmW04D3/A8Cfna7mXzaeGt0XrRnX8HtrJCxV4dGEO9p8Tn9Zf7UdLKdGNAs4f8HsMDJNnKj98b74mP+rJkmKN+Hvqdeim9O5NoWAypnqVAtOf7gM2z1Xn2kSUQa/jbG9ZZbWjXgL3Q184fze0rKe7c4dcS0jGZxuO459fbsPVb/yF90XacjGY/snB1Ji2c2+QwMyYUGZbGygwJVHllVs6em6bdCoHpibXp/oeTethe9qd3uPufp9LHrvGc8hqd6CokpsxfMn0DVJwBY3dW9uxW8Ys21vA6c/avnGSXy/WjIlf78CSPQW49QPxXdJu6Cg9be39d4hkTG0yGVYJkagxFeuNyGcw6NCkbuD9ZhltAvig4DemplevYmubA7+rd20iUCfWiFGsDH66yFaWoZb6RLMBreoDALpmpnjLfvyoMX1taR7WHirG2ctVeGfVYcnzmG+tPojA9NN7e+GOXpn45d/9AYS3FzORRoEpUYVaxf7t0r19a+vGhDZ1M+fObp7bnKnhYa8AbYYDnW4D4Pp03/vhj4HrXgDuX+o5jf0GVFBajR2nhfWZ82PewK0ZpTgZNx4fHxsKVF3GvrOlmPxtDjYc8WZhA20OfaTItbuRVF0nUwN7SzeZFfliGdMgMGNXckGDL3vyuaUNYmUQ5dWhfXB59RYV6t2ZlfNKTuUnNuR+bfPd55Yox2TQQafTYdvzQ7Hh2SFIiTcJNtOozZk4piRrZOfGrNkV+deKTccuiB7fd7YUk77ZwdndzRZCxjQrNQGzxnVF60auzCkt7NcG6khLVJEtso+5Ul4Z0xGr84oQX2SHZ/MnY1zAb8jsusP37uruvePq/7j+sOl0wLXPSF7ri40nRI930x9HtxP/9B7Y/hlGLWsvOC/QHnwGvU62bo0JEuNjJH7F85YAZ3cG9JxSmCxIODOm+856PwT0alYPn9/fG13/u5JzTrB1fT8/3B+tGtbxeyOIgHim8hXMCdz+FfDVTd6viwIvxyD+e+aGtnhrhbdHN1NexN6ulP+7UBtrTB0OJ/R6nWeq3aDX+T27Mv5T4W5/vV5bhQvuVoFHzl/BX08Pdj2POwkSat9sAPjXta2wbG8hxvZoEvK1SPAoMCWqqLaq11Px3v7NcW//5sDr7qj0/mVA4y7ATD9WOg99GTDFA62HYVhKGlo3qoOeTeuF/KLWqlEd7D/o+7yyMvFFTMwLdrzJ4NnJRI5eB9mlX0xgGivWCsnpBH64R3icYTOLLvCS4l38FJk331YN6yi6qt5o0KsTlALejKmSU/lG4dQxUc8jQ1qje1ZdjP/MFTz5s3WtEkFTNHnih1xsO3EJK5+41ruXvV7nnV0J4rWCCUoB4PiFCs/tg4WuNmmBlEJJaZgUi43PDVHkWiR4NJVPVJEoUQMo2+zdh74tvCtf4XQCVveLU71mQGwS0Psh3xdxOoB+/wYatEacyYBVT1yLN8d1CXpMfdxjulBuxkZHZ2yyd5A9/8ctR0WPMyvAVz15rV/P6+uFk5niF+3Rye9dCgBZfb23K8Sn0aREuo/ptJHtFL1ellzv11CpMZUv2l2BqKm/u24SEC+nmTy4NefrUFvnRZtFu87i7OUqrDxQ6MkWGwx674dYBct+Ps4+DgBYr9AsHQWlkUeBKVFFFW/Lzo4Zyfjl3wPw9u3+B4EPD2rF+Xp836beL0pYU+dGdyDRtL/vi/K23Qz1RYhZ2PTTznw4oMc/rP8ne34ChLtZAa5MKQBk8rbHvLp1fcG5XTNTRJt4szEZU5NYbz+ryAIn9takB36TvbbgoZ4sSPgD0zqxRtRNUDa7Wb+Oint4eRY/Kbkqn/d/bFBzDzIC+H7deHxoGyyaTFtr63U6/LnPtX2wQafDxiOu4HHpXuX6mJKah6byiSqY6ejuTevinr7NMKRtw4Df8J8a1BgTzN9hpe5qZF+qi5GdWQuU9KwsUaI7ePOnf6NJ2T51/ADR4eOznlSLK7EVpZn14vHy6I4Y/u56znGbw+lzup9ZfBFjEAmALBXCYzZWwLzpPaD/ZNnrszHB7/HiClRb7YgzhW+LT6V2bcp+ZjByTpfglm4q15Y5VZjK533Ygt0MXDgKNGgtfj5RnUGvE2zCURux29ZdrrKgxF32sPNUSaSGRP6fvfMOj6Jq2/i9LQmphBJaQu+9SxURRFEELGDB3l/BXj55fe0Fe0GxKxYEVKygooDSBKQ3pfcWQk1Iz5bvj9nZOTNzpu3O7M5uzu+6uHbKmZmTsJl55in3EwcwjynDEvgc01qpSbi8R25YXijPvEfRaP0buPHfm/Hpjb3Fleu858lDVGPrkTqqpx5qN8rGQ9rtQUnGuBcj16GuMfr9nf3w3CUdseThwWhZVy5ZpCdkXqUWyl/2lnxbKpEmQfOoqkD+v7y7UN5hy0ryaim/aEi1JNVoUjsNl3TLtT6MFwrlm3jrlRqmAPC9Se1OGYwImL1BaAXtcjhCXbHM6Gvvr4YFZdUFZpgyLGHHUU7Oo9wbQRHUnkXcZwWlTSZND1LrYZ/ZCGg+OPz5UNhZUKw9SMKspKdU93drnI1xZzWBw+GA0+lAvUyxUa+nyIgP5VMN0xVTxOuN+4o9pl56uoES5DWkMk5W88yoDor7XiPkwGyD3wKB/XSKZm2JdaoYDIYaSpqtAXBtPwFgTE/1QlU9zUb2nyw1PDdGfMAMU4YlfBSUT/prp7x7k25OH1Dex4ftXYRh2mKI+vkGPUxvZB1l6juMhbHObiXWqSypEKcDFJyRy2SpGqZ9J4jXCw8BPqHi1ajsFukx1SN8HymkRi6tbW3reulY+d8hGNwmx/K5GMaKUH5WI+DKGZLrVF9Bd0ZsUXpx9gcCoX72Wi/XenSdfRZpZTNiDzNMGTaGuPGUnhTv8gcNUzLXtGYeMPRJIFPyNn7VTOCsO4CuKhJJYRJud6A06A+XP36xOP2g4IzYo1lQJPdwhqryacVPUimo9ByxIZPdBEYgC6xSo5BfShZZJXvktzCnw4GcTJtKKFlRlQ8AbS8ELvtYfh0GI8ooNdpwOx3wBPV7tTphVeqItFnVxIURe5hhyogPtv8mXvcFvYZSqZwB9wH3/wNc8SVnoN48H2gzHBj+oiWyOjTDSA/NHfqrUjNSPMhQ8UTmF+r0mBYfA/56Ezi1Tzy4bhug+SBh/dRe3XMDxN6NGknWG6blVYRhalLxU9SwpCo/CFnYF2CGabTokpuluK++XV+QLERJneP8DvUFj6lGfqi0cxYNfwA4WiTc+3o1ZcVmiUKc3dUZdqfK58eP6w+Zc7Lc3sKyT+IV1Oo53m4EZ6Dm9TJnLgrQQk4Vl3yieZwXxgyTs9vUVdx3y+erZdsqaVX5394EzHsc2DxLPPi8p4F+kk5XZ/J1z80ZxfQIvz+AiqA3xeEQNFQB4MFhXP6aJa1EzSJgQY4pD/niVXyU0/plWMZLl3VGi7ppeJPsGifhtSu6AAAaqxTpJRq05irN66ahSe20UIc7n0YoX0974yqfHxXES+qjF5lb2MqIHcwwZZjK1R+uwD0z14fWbx/UPPyTpRIanis/FO8LhfJjq3jWtn6GbFug/Whg5Nuqx1URhmm3xjU1r/PExe3RsVGm7nlRBfb3LKYPTqsDuJPEoWC1/F4JpHH4+fJ9KiMjY9KvW9Dj2XnYe5wrekh2O0VV9BPObYXtzw5Hr6a1lE4RW3YvBLbM5pbNDuUDcmP3KeZBspKxvfKw4IFz0LROmuIYXjotgOrzkjBj5X7ZttrBTmp8NT7f314JPZrIVb6AqGTAjEp/hj1ghinDVFbtFRf2SAt3DEGGI49u5j4LtgCbvyOKn2Lb9WbCua3oO7pfCwx5XPE4J/GgmnlbH83r5GSk4OPrlb2/ZC/u8iof1h/gquMN6XySOrAu/QZ/lkSWiVaMFSlenx/vL9qNU6VVuHHqSgCg6qWapWtqCZ+PEpat8Jg6pX8LAeBEdOW7GGJ4Y+nASWMSbPHMaopGqTuYWyoYppF7TCu9fvzChPoTEhvfxRmJQEQ5hzT5p3f6ALNuBHb8zq3H2GOakSK/fijvsc94xeO65gqe1mS3vt+RWqUqqW36zZqDoeUkHdWtIch0iQg8esXl9CYCkcB3jwGAkmBXsbjLLyUps0BgnPa3YFD6i2EuLsKLR8sFT0QqKKH8tfu57zufY+rVCOXr0Wouq/Jh0q9bQ+u10sztAMeIHXF8Z2fEAzXCqdL2+4GiI8D2ueLtuxcJyweDeZUx9pimJcmNgVB42aNc+PDI+a1xUacGmH7LWYpjpFDbiwbhQ1+HTpfhsR82h7YnuTXCW53GCsvHtgvL/vCNSyuClieK5QZWNDtMmc7uheafk1bwdOBv86/D0A3vKQSAV37fhkAggIdnbRD9jSYabevLU474Yib+97F053HsOHqGenwgEAjJSV3avRFuGdCMOu7wabEXumFNuXQcIz5hhinDQgJosOpF4J8f6Lu9lcDH5wM/SnQ1v7kOeK2tfPznI4Xl4qPcpyx8GV1cYeY11TqxDlPGdUe/lnV0H0N6THs4tiEHgteND31Nnr9DdAy1JSnP5VOBUUQubArxQNHT3lUBPd4Oo9Batsa1xzSC368ih9fLty15lYXzYwjqaY9eAAAgAElEQVQZsJi15iA+WLwbX68+iC9W7JPpEScKX63Wl59+3uuLqd2byPzSJy7ugP+NaI+V/5VrVG822HWPET/E8Z2dYTek2nRveqag5tq3gW+upx+wawFwYAWw7gvxdr5ARI3TwSKbGHtMAeC89vWQ5HaG2ojq4teHDF+HN0y7O7bj2+SnsDJlfMiLWuXzw+8PhB4K7R178arnXaSWqeRgNR0g1jRNIWRvjm4yPD8ePflhRmmVIy8y05sCYUss0NRFu4vl2woPAG91N/9aDF24nOJH7NeE0aaVZ5lIXNeX00b2SX5mmizUS3O3hZb5+xtNl/jLv+VFVozEgBmmDNNo+eivAIAujp0Y5NyAUa5l6geUmdC+0ooiEoN8cG0PbHpyGMad1US1d3uk8N7Zvs5/Q9t4Y7XKG8Dv/x4Nbf8l+b+4zLUELb4kUgVqtRCfUJqT2OMGYfnnBwzNjX/wANYYprQq3k3x7DHpfIX550wKr9kDwzpcEim1JOJlipaekqjwBqlUWa6CIqT/cbBrIKCvAxQj8WD/64zIKDsl0UsM4Mfkx/FZ0ovicSWU1qRkTly4mosxDuUDXE6pHu9d8/Jppl+bv3FX+vxI3jUX3yc9jmZK4v2pEhklt8QL4Qk/R2t0t0ahZT1SL0bRKpawPdJOTE4Lbr1qSgq+xAwb252cTHGXNVLSSKstZyLBN8WQ3ua1hPTJ39d713QPO3WKEV8ww5QRPvuWAy82BX55MLRpjGsRfeyxrfJtZBvMcIttbBDK18NpR034Tfhza+k4iAluIWc3ZJh6/Ri87h50c+7En8kK3k7p71hqmEZA98aCZqYVHlMr8lajSjSq49Ve0vwW5LQyNEnxuPDYCEH4fdex4tByPGuben1+jHp7KSZMX6tr/JIdxwDIf+YlO47LzktC6hRf0LEBdj1/YTjTZcQZzDBlAAA+XLwbV36wHKWVBgzEP5/jPld9FNp0sXM5fSzNgCQNU1+l/uuSxFguSi8FTv1FTmrMT34YNRzC74ovANJluEkNUy2vXZgFOjdMXWW6lmnc5+N5id9HpzHWXMOdrLzPimIrhi5IZRLy77TKG7/f6XUHTmPDwULM2aicw35+h3qh5YIz3IuZ1GP64DcbAADP/7IFE7/biOPFYT4HGAkFM0wZAIDnftmCFbtPYrqRhHKKUbg70IA+1lsOVJYCT2YBnwzntokM0zAfnHb3mF45HWjYDcUXvWvJ6cniJ030/I5v/UNYjsDLN+x1hS5TYRL3hin54nXph8rjIsHpAu77l74vAvkvRmTsKBBkkQYSDUeqNLof2Rk995srezWWbaP9GVf5/Phg8W7MWHkAB06Vap737nNb6pojI35hhilDxBkj4ugB+c1ppZ8i8wQAVeXAX29yy/uXAcXHxHl3lcX04zSxec5R24uA2xaie/fe8n0m9DLnQ/llFFFrGXoMzQZdheVwvdgATpea66Err5T/fLbu8iSF/927a8grQMwkqxHdI8s8pjFj3X6hyFPkPbUg5SVakDZ1gLiPPTNHeDGi5YPSaplI2ayF2wo0r00T0s+kNDphxC9xdGdnRANDz0zCC1MeNIw8UDBsD64EThPe2LKTwNrPhfWZVytf5/Kpyvs2z9IzU1sw564B2NKRkIk6kw+UnozonDsLigAA1368UnlQ0WHuU4+h6XQJXZ9s1DXopd/kOcqdG2VRRtqUkGGqEm43i543ybdF8JLBiIymtQWljp+JFpqHC+O3TSmpkrHrWElomayo91FevId3lEfUXiC6N035U1tz102xbi/oWF/zOEb8wAxThgiHEQ/kvr9Ci9Pmc4ZRkkPBMF38svjh+OdzQP5GYf3IBuXr1O+sf042pmOjLLRrQtxAX2sLvNQMOL5D+SCAM16XTwGK5d4ED3R4Sn/4D/dJGpqN+yqP59USKkuUx+jgTLl5Xjpa7tngtjmmnd90Tu0FnqwJrAimcPiiaJg26SffxoqfYsZNCp2L7vtK5Z5nc0g90qGv0QteSSUN3nma4nGhtsTjOXOVPkF+HjfFE/vExR0MnYNhb5hhyhDdZMKNMo5ewbW2TIbKA7CK8BD8+yOQTb9hy0iXGCAt5F1A4gYXpZ/z2z2BtcEmA7Tw/uy7gd/+C7zSSrbLrccw5TsCkS8G3a7VPm7FFO0xBOPOEueUlVTomFsYLHvkXLx8eWfcOrC5Jec3hY/OAxAA5j7CrfMvBa4oGKY0tv4cm+sy0EnFsx+v3Z/05HyTFfbk7+DzmylpTQaQpgjUSU9GWjIL5ScSzDBlYGt+UWg53Oy3Oo4itHXsR0fHHuVBlZLeyKcoY/dTenuTrTJbDJHrccYTlLxcAMBPE4BDa4BXWgPrJHqnW+Yons4DL3JwCte6fle+psMBHFgFVAj/z0ivpzyep0ilaxSFrnk1ResnSoynAmw5UoQNB8SNF6QSMg1r1sCYnnn2zjEtIbzbFcVCVb7HPIkuQ5Sd0h7DsASHw4HXr+hC3XfNx5T7XRxQrKMWoX8rQYkkhcit7dAwshQct0v8lGIa/IkH+y9l4KLJS0PLkdRlzE1+BFe6FyoP2LtUeR/PJ8PE60Of5D5HvMF5WC98Wbxfr9fVLqgVPH0+mjNofhwvPUjxkG7Onfgm6Sk84/lU+byuZODjocJ6+1FASx1e5zbDtceo8M/hIur2LUeKsGrvSQQCAbR7bC6aPvIzAoEA/P4Ahr+5BKOm/IVConjq27UHI5pHzDm+XTBMoxHKB+RdoFjxU0xJctEbcJCFUfEELeebJD3ZjcwUD54Z3RENslLw3CWdRPs/vyl8r6lbInMn7a7FiH+YYcoQIepG4qsCKs7QByptV0PJW6hG7WD4uueNwD3rgdotgNTawv4Jq42fM5Z0uER5XwXdkFNjZE4Bmjg1KlmbSPJJR7yh/gbS8jzuM8J2r/Up/a3X7j+F4W8uwZj3luP5X7aE1ATW7j8tks/hdVBLK734v283RTSPmFN6kih+ipLHNENSZLJscnSuy6CiRwYpnlDq2MRXx8/6D3fPubZPEyyfOAQtc8QvSme3riuLsEhpXieNul2aY/rW1d10zZkRPzDDlCFCJDv0TB1gUi5wZANem7cdd81YB78/wGmFTMo1/+K0AiiagD65Ta0Nox2pUROo11F73NF/dJ0uu3F77UENu4vXtbx2vEEqbaNpEJrWIVm1++ESYTkzxS16KeJT2J77eUtEc7AF399GeExjFMpnxJRSjVzS4govxk9fi7mbjaXPxIrr+jYNLY/u2lC2P0lHfP2eIfKceZJZ/6EU8UGeY9qjSRyndjGoMMOUIaKYv4GeIGQ7vr0VkxfswOwNh7F2/yng4CprLl5yXL6NZpi2OJf7dETm0YsZRzfTt5Ph1+PbgV1/Kof+g17jQJKOfC2pd1urAIf/vQaMGaYOiReW1gv8Z4VOMZU+v0jX0R/8ub800vDBTpBe/dITwKyghFPUDFPJ777bNVG6LoNGRop6I5D3Fu7CzxuP4I5p+lp8xhzivpRVQ/jZKoMvox4dhqmaSH/HRplUvVK952bEN+x/mCEi1Pmp+KiwsdV5ocWMPb/K80DNgqbpSWub2XIIcN1PwH36vIpxA2lof3MD8MVo4E160QSym3KH+HS0/lz8knhdK0TP/84NekxrpYkfvtvyz2DSL1twqkRQAxjYit6atcoXED2ovBSjFgDaNcikbrcdNeVdbwBEL8dU+kIjLahjRJVkj/qjdsNB9VzTgqJywWlgA6qIqvwqfwCBQAATv9uE8irub1hPYWK3xtmybXwDApdKu2TSYzrEzpJxjLBhhimDDtnCcPnbmOZ5Dn2d/6DFsoetuyZNLJ/mMQWA5oOATIX2p/FKRaF82+l9kGkluJK4DkIA9uaHIdCvVSwQ8pgaywke3CYHN/ZvGlp/ff52vL94N7o9Mw+dnvgNPn8AaUn0/8/yKl/I2wIARxTExy/uEif/56THlGSrssKCqTRIDO3fRKFVTobq/iU7KNGiIMeLK9D7+QXo+MRvZk8rLKat2Id3FwoRNa/Pjx0FxZixUohuZOjoxFQ3Q/6SxqeSeShapTxkjmm3xup5qoz4hBmmDBHZqUGvl6S39gDXP5iR9BwMC0qNeF19f/PBwvL2ufL9SoZptULi/fJVhjxvuQ7tFn6G4Q3X0hMGD3PgiYs7oH9LuVF2psKLz5btxdx/8qnHzly5XxT6v+2LNdRxg1rXpW63HRHm50bMha8CZ90BnPs/YVus51SN6duiNl66nP6yUK7RTnjZLuHvkC8KjCX/+0GciuT1B0KpNzyRhtulklDifcK51TyrjPiF/a9WU2au3I/Xft8m6nMMEMLJJxRawxmR5niykN4ekYR8cNJIRMNUT/GTFkHDdFCeBb+ff77nPhe9GNbhf+2kG7Q/bTiseMxPGw6r5pzx0Ppv2xJ/jMOuabWB4S8CjXoK29Z/Gbv5MDC2Zx51+90z1qkeR3ZKqqgKQ9nEYkoqvDIJJ1p3JiOoGbbkPSDS6zDsCTNMqyHlVT488t0mTP5jJ1bvEwtvnyn3wrvvb+CXB6nHuivlkkar0s81NgEy/85XBdRswi3TWo/Ga4GTGpe8z30q5SHqIWiYJgVUeqDnRtZhxWwOnVbuDX5d36a6DFM1GVhbYRfvJFlstW957ObBUOT3f4+q7ieLgJRkmmJJWZVf5uCQFkIaZdVe5RQl0hh1MsM0IWGGaTVk2op9oeXrPl4pH7D6E0Pnc/spHX4uVtFNJKvCfRXCw7OckmOZiOLJ9Tty3uTb6D2mdcH/zpT0ZGu3BAbcG/75LeDYGeVOULnZNahV/FKkIUPbsn9ZrGfAQXaa2jA9dvNgAADeuKKrppdPauSR3/kKr01eeAgqvT5MXbbX1HOWq3iGyTC/9HfFSAyiZphOmjQJDocD994rPCwrKipw1113oU6dOkhLS8PIkSNx8GCcd3mJA0gDoYyS37T2kDEx6BQ/ZXz364Tl8yeJ95GVyXl9hIcnLzA/9ElhfyKG8nlSa4Wq6w3R8jzhd6gkyj/wgfB/d8OeFZY/HAIc2x7eeQywZMdxfL36gGx7k9qponW//RxGxuhydXSvx3RTbcXobo3w/Z39Vcfw6VSBQABfrNiHtUR3KDt6TFfsPonfNtNzx62ATBsgC64YiUNUDNNVq1bhgw8+QOfO4lDtvffei++//x4zZ87E0qVLUVxcjBEjRsDns99bYSKh5ZnaWVBs6Hx+2ulIT6e0QthFyAp5UoCiYO4h38/bkwY07AZk5QF12xqaS9xx6YfGj0mtLXidg17mKmcK+pe/KYzx1Ah/TilEpeuh1cB3t4R/Lp0s2n5MkCoj8Em+XL548JBs/Fp5nyPKQSqyFSlZaMiIGR0aZiKvlvLfJ5/SsnjHcTz2w2Y8RhQbaRVKxYoTJSopRWFAK6DkIXNMD5xUTg9ixC+W3yWLi4sxbtw4fPjhh8jOFnTLCgsL8fHHH+PVV1/F0KFD0a1bN0ybNg2bNm3C/PnzrZ5WtaZSw/APGKy8D6j0cgcAOCXi0lIZopJj4nWXB7hlAXDXWsBNF1lOGMJp++l0CR7ToGF6OrkhDoGsWHeAqqDQQEEXVXR+iaf1yAbgnx+MzzNC/P6AzDDNzY7A4I4W392qvC/aqSmkR373wuhem0HF6XRgycPKeflnyrnCue/WyqOHarJSiUTHhsqNQzxEKD9dhywVI/6w3DAdP348LrroIgwdOlS0fc2aNaiqqsKwYYJYe8OGDdGxY0csW6acn1VRUYGioiLRP4Yxpq0wN/zh0OoQRLYNrdNGuzDElRQ0vhLcKAWMhduzgsVSzQYJIdozXAjN65T8rnJ70c9x5Yzw5vTN9TonCWQkm/Ow2JJfFAprvjOuO+bcNQB10qMkUG8V7UdH93opZEOCOPA2MzAvWAz143q5igWpH2olh0+XYd6/R7HneElUrmcE0mM6itIOlRH/WGqYzpw5E2vXrsWkSZNk+/Lz85GUlCTyogJAvXr1kJ+vnK8yadIkZGVlhf7l5dElOBjhY/Tx5dQyTEmPqcsDFB1SHx+t7jh2wEho99rvgSunA12uEH5HJZyOab3SnQCAzuUfAPdsBLIaAY37yFUNshppXyccLy7B06M7RHQ8T0FRRSgfukXddHRspKP9qt1pNVR7DKNa06Y+J8YfK83eaz76G/1e+AO3fr4ag19ZiGU7rfPSXt+3CXX7dJXcUScRdfjPOS1MnxMj9lhmmB44cAD33HMPpk2bhpQU/Qn4gUBAVWpi4sSJKCwsDP07cEBeMJHoFJZVYdjri/DaPGuKUtRC+QcDkpaSD+7UNkzJnFJXkpBLygAqDXgk6rQE2l7ELUuMd2fAi/eu6YE5D10MZAdv9imZwMQDXEpEWl1g3Lf6ruNS7+utRSeTDMgHv9kQWo4b/VI16neKzXX73R2b6zLCIsnlRCAQQA6lM1I0WCoxRK/+6O/Qcmmltj7ve9d0132tp0Z1xKKHzsHsCQOQmiS8EPPpDFokuxNQTpBhnWG6Zs0aFBQUoEePHnC73XC73Vi0aBEmT54Mt9uNevXqobKyEqdOiY2UgoIC1KtXT/G8ycnJyMzMFP2rbkz/ez+2Hy3G5AU7DB+7Zl8YLSwJkiDcMLaldAHS62JBsoaOqYsMM1P8sRe+Il7nBd6rA2lhekXK5L21L+hYH40lVexISgNqtwAe2qnfW6eUXrBvGfDDeKBU/TsUadcXHrKgIq6EtFOU2iTG6GfoEEwfyNThLWfEHK8/gAnT1+GbNdFXqFl/QH5fIXnrj52a57igo7G2wU1qp6FTbhZKKwUHh56WpgAQT7cFhn4sM0yHDBmCTZs2Yf369aF/PXv2xLhx40LLHo8H8+bNCx1z5MgRbN68Gf369bNqWgmBHiFyJS57ly6y/dD5bULLLiifPwWCsVDi5b4+c9zn46rKR1GZXIt+EGnoHF7HVdyTtLlQvJ6u/GKScNRuAVwRRkee49vMnwuPkmE6dTiwfhrw239VD3drGKYDW9VR3U8jrjymZCV8BvGQHvpktGfC4Qm+rHhj386SIdBdoc+71+fHz5uORHk2HFd+oN6EYcdRdcUWs7y8r45RLtLMThUcHSke5jFNRCwracvIyEDHjuLWi2lpaahdu3Zo+80334wHHngAtWvXRq1atfDggw+iU6dOskIphhizH9E39m+K8YNboqLKh8l/7IRalmmmQ9AsLazgDNjKgBPL/R1Qlt0GSfmUG5s0NNzzZuCnCUCToJ5fksTL1+OGMH6KOKbdCK515KHV+o/pcAmwZbY18ykuUN9/XD2FxCMxIrNqeFBYJhhrLeqmi6qL62emIL9I3WiKK8PUTxim92wEAj7AWwHUUPKkWgwvHVbFpHXsxKRLO+P8NxbLtkuVKKKJmrA9INYVblE3DbuOiVORvrmjrynzaF43XXFfjSQXFjwwCC6Hw7ToDMNexPR/9fXXX8fo0aMxduxY9O/fH6mpqZg9ezZcLvYWpAbZhm22Sv9xvfBV1PcPa4M+zWvhFDJC+z7xXoCN/mbU49b4WwMQbqSKucFSD1y3a4DbFgLXBHMePWlhzz1h0Mo/vGqmeP3AKuvmUqpR7KDRJlbaJvDBYa1F68lu8W3ns5u0W6fGVSifLGhzJ3GGYayMUkDwmFaVxlFP18SHL3KS4o2hYapFlzzhe/z17XIjNDXJHF9XVg31PPcWddPRtA57biQqUTVMFy5ciDfeeCO0npKSgrfeegsnTpxAaWkpZs+ezarsdUC+Ud81Yx1OFFeo9iHX4leia8dFzuUY7/4JADDf1w1Pe6/DyMpn4QuIDYO3vKPxgW8EAMAbbMfjS1EQRZY+DB0OLpzPe3KkslDVqSqfR60SfuznQJvh4m2FkqK/MZ+ZNxeXhkyXweKoFjli70eyJPzWpn4GJl/VDa3rpaNt/Qy0ayDPG7e1x/SbG4AZVwnfc/4lo04bxUOiCtlsgYXzbc91n1DaRBukoKgcP64/FFHaFwnf+rMq2Hnq7NZ14XHLzYckyrZwqBujwi+GPWDqtHGItBq/x7NcQ4J1j52H7DTj2p93D2nFLfh9uPbgU6HtQ13rgCoAcMDlEBuXb3tHoxIenCqpDHXfyO/7OLIdxUDPm8QXSM8xNqG6NnmgRxM14fsWQ+Tb2o4Ats4R1juYqI/ZRCPH26vc8x4Aaku+g9LK2Zo1PMhIceNMuRdf3Mx5S0d2aYiRXThNwqaP/Cw7p20N08oSoViv6BCQlQv4gwWCw56J3bxI3IRhWlUWWVcwRkyRtuhVYsRbS1FwpgIHT5Vh/OCWuo5R6zvv8wfgdjlQGTR0k1wOZKZ4cEXPPOw9UYK/93AFkdJoCIMRDuxbFGeo3Ty2HT0T1jmb1g6GRKooPe8VqAy+05z76sLQtgJkA9f9ALQfKR6sp9tNq2CjhbYjdM8hoeg6DjjvGeDWP+T7aB7KLldaNxet7lAaubDSlA5pkUeS24k/HjgHX9/eFwNb6VMlkKYHGObIRmvSH8hmEfwyb5hGqAdrGi634AU38DfOsB9eX0D1GcBTENT/nb/lqO5zq7Wq5g1S3gPLe0ZfvLwzpt4oNPNIYjmfDBNg36I4Q+3mwSeC7zh6Bp8s3aM7jOPmW7yR1cQAvvYOUjwmEPzqnCoVjmlPCcHKuOhV+vZRUzjZqMs+0j5HIuJ0Af3vBhr14H4Xon0Uw9Tq1pZjPwfOuiPswy/tJkgTORwONK8r5IMluZ2om5GM3s3oKg49mmTLtjkj+XnLTgPvDwQ+HgrsU686Ngz5N8O32vXxhmlkerCmwgqgEoJDp8vQ74U/cErSm76kwosf1x9CUbn4Hm7kr0bteVHp9eNkSSUOneK+P6QBmprkxoqJQ7Dq0aGRv0AyGGCh/Ljj183KMiJ8gch5r3OVnlU+P24fpN0ZI1TZ6BPf7L7xKRumNGokqXiIJqzmdDC7XUPfn54D9FbpMV6d6HYNp286fSy37ozB+2P7UUC7kcDf74V1+GMj2uO7dYdC0lDkQ08r3JdJ0TCMqPipmPAaTb0AeLIw/HNJISvw/V7OM3tsC7ceYaMCU/GkAeWFzGOaABwpLMcXK/YJKVgA/u/bjZiz8QgGt6mLiRe2C21fu19dl5Sk0qtsmPad9AfKqoTogLR6v36W/iY6DIYWzGMaZ8zeoGyYniipwG2fC2HWVXvlQug04eJQ/p4kd7ACxh6sKWoGR51WQI/r7RPetDuNgxWvGhXwlqLkpUzTzhnOTkvC1mcuwOfBins+D5k7rbqRSdMmtK1e4ZGNwrK3Apg5Tli3UxEf85gmFNI6gzkbuefCn9uOYd8J8cvHG/O36wr/q3lMSaMUAOb+o9w2nMGIFGaYxhk+v/LN46ZPV+P3fwXvUAXlDZivdkwjvJuhc0pC+ZWEYbrL1VwYD7qRoCWszjBASibw8B7gEeWe0SHaXGT9fEh0egJTPC6qEbp0xzHV405KwpQvXBphK0/yody4H/B6J2D5FOXxRtjyo7DsqxC3201S1mKMOiHDlHlM7UStMIpVSVbuOYn3Fu0SbZP+xb0xfwcWblf+mzt2pgJzNx8RGZ+9mmZTU2oYjGjALIk4w4jGHe0NmN/WkehnHjqlJJRfSWR6rEoSEtyZ1zNKpNYCktWMm+AjqM9/ojKdEIHIJGi0NAr5Cl+eMT0jlJDzEZGA/cuAwv1c9yozND1bEO14y05D1JzCbaPwJl/85K1UH8eIKj/fPQCjuzbED+P7o0Vd47qcY99fjhd+3SraRsv8yS/kZMICgQAmfrcRr/4udI4b9fZS3DFtLd5fvDu0bfqtffDtf5TVObJTbZSmwkg4mGEaJ6w/cBp7j5eIOuZoQXvueoPFU6TeXAu+y4bEMK0ICDcfP/lVcbCvjS14YCtwwy9As4HWXWPw/+TbIjRMr+rdWPfYprVTI5eKUpK3MiOs7SLC9VVlQCXRstFOskx8WoFPXeqLEV0aZNXAG1d2Q9e8msjUeGHTCy1KwWtf7ygoxoyVB/DWHztR4eU8pIeDRuucYLOW2mlJobqDngpe01fHaih3hMGw9lwr6rYKjQcY1QdW/BQHHDpdhtFT/jJ8nNQurfL5cSR4EyIFjEMPfpVQ/hFnfWG8j4l024KM+tw/Kxn0ELBrAbCfrGaPzFCsnaaee3lV78aYsZJLYTClCY6SYeqrBKBPF1KRHb8T15H8XTCPKcMAV/VujHUGipWUmqqo5ZPOWnMwtLyzoBgdGgqRM14SimzzyT8vpNRNN/+7/cF1PXGqpDIsLW5GYsFcX3HAHqIf8dB29XQfJ71BfbRkT2j5+r5NMbhNXbx0eWdhgNRjShimC5PO0X1dRoLhkRhvxfnALw8BpfLiOiUu7S7IR2VphAFTPMJtyZS+4UqGqd9H326Ebb+Ir5PRQFi3o2HKPKbmUl4IvN0LmPdExKciJdb0sO94CXU7WWjIwztRSWNWGn2jRdOUjF+r1OqYUcoAmMc0LiBDmUYEk6XP9Hn/CpWU2alJmHqjpEe5imEaYHml1Zckildx5QfAmXzgii90neKVy7vg6t6N0b6httati3jqKfUTN4SSMeavom/XQ2UJsO1XoOV5wIbp3DZvuVhFwU5yUXwoX6NrF8Mgaz8Hjm/n/p0X7Jrn9wMndgB1Whuy4IwWj6ZTFFYA4Imf/pFt43VHf94oqLpIX/r4+gWPS3vOVssoM6o3zGMaB6Sq6YOq4Jd4THcTb9jUG4sslK//veX2s5trD2LEJx6Foow9i3Sfwul0oGfTWkhN0v5OkSLdL1wWYUU+oNwfnu/QFA6/PAR8e7NglPLXSSEMbzs9vUMeUxbKN5VCITQeyln+81lgSm9g0UvcenmR6S8E3RrXhNuAvrGbYmy2zKEXVnp0GMh1020khcZIOJhhamP2HC/B+OlrsZ3SarRDw0xsfeYCWV9yEmmq0WmiS1PtNA8w+15g0cvCAMlDK2Dg6zH+XCltjOwAACAASURBVH39mBlxCM1jCnBhTAsguzzlZJgQDlfKq/RF4DFd/yXlfJWclwwAmvQP/9xWwDym1kA2oCjiioewJNjdbuHznGd9clfgvYG6VCBe01lU5PcHQsVLeqB1TlNKk9mjkCLAUyc9GTmZNkpTYSQczDC1Mdd/shI/bzyCh2ZtlO0bd1YTTdFxtST41JP/Amumcm/3PAbyz64+S1xZ7YlFdyJGdJDmmFpM59ws7UFGyJf//QAwJ8eUxFclGLudxph77kgJeUwjMMYZ6tA0Yg+uAkpPAMe36dKQvbR7Lv53UTvNcVW+AJbtOqF7aieK5S9nSoL6NP1rnou7NMSih87RfV0GIxyYNWFTSiu92H9S+UYWkNXcy1GtG6kk3op5gf0S5Rtdp0Y1ReuHJUnxtFARI0GIsmE6vGN9vHRZZ/x6j0kyWCveoW+PJMeUJpn253NAZTC64bJZEQcpF+WrArbNDequMkzjvQHybfOfFJar9KmZkC17nx7VgTrm3yNFaFhTv9fy6Tn/wuvz46LOQnEeX+ykBindtPeFi/DWVd2QlsxKUxjWwgxTm/Luwl2q+/nQTK+mtRTHbDpUiMJShYcvqUXJh/DnyytLf5rQHzcPaIaJF7YVNjYdKItKRdTLnGFvlEL5FuFwODC2Vx7aNdAulIqISHJMlbR89ywOLpihc2UiIbmoCmDxK8CMK4Bpl8Z2TomIVKmCfNnX+X27tHsuWtRNw439m+Kas5pgTI9cPD6ivWwcLTyvRstHf4WX8JJ6VboI8oQ0rhmMKMIMU5uy+5h6ng/Pi5d1Vt3f9Znf6Tv2LhWW+RB+3lmyYZ1za+KxEe2RmeIB3EHB8O7XyQqrtPqfM+KYPUuU9/l9nOfttQ7AgqejNycj1FUIjVphmPLw+YZ2IeQxrRQKtg6tid18EpWDq8Xr9QiP55ENuk6RluzGggfOwRMXd4DT6cDLY7rgpgHNZOPUQu5K/PaPoOpytEg7dcvJHA6MGMAM0xjy9eoDWL2XrgWZ7FH/r+ElpLJSPZg4vK3iOFqaaWqSC1g4SdjAF4fU16iAvnsdcNVXQKcxivlJjASkpEB5X2UJF64sOsgVfZjRTclsspvSt/ssNExbDg3/3FbgIoqfbObMTSwkv9ztvwrL08cIaVMmEI5hSvLavO2aY5hZyogFzDCNEX/tPI6HZ23E5e8tp+4/WaIu63Jx54ahZS15D38w2fT8Dpw4/8QLJR4k3mMqqcqXJeFnNgDaXAA4HJqFV4wEIl2lqYO3Ajgm9N0W5S7Hir1/caLnu4NyVl4FY9lKj2mNmur7o42byUVFDbWc7PXTTLtMaUUE31+dZChopTIYVsIM0xjxMKXSnmThtmOK+9KT3ahBaJvmZqv35F4V9MpWBZPdk6WGrJdimN7wM24ZqKxN+sTF9KR8RgJy9sPK+7zlYgMvYANP+qcXcoLnn4/k1g+to4+LxEjT+jldNtN5dDG5qKiw+VugcV/l/aEc5Mh5Ye5W1f2t64WXHzqmR25o+b7zWqNLXk08d0nHsM7FYIQDM0xjhFKrNz0US96UB7fNQaugWPKUq7vLxm86xOlNVgZDP2TLOQCCHuWJncETPgo0pVSYEjSrk4YVE4egd9NaePvqbkZ/BEY8kVFfed/Hw4CDK4V1O8oRVSjorc65N7zzBQLKov08aXXDO7dVuImWpIX7YzuXROFMvnzbxq+AchW1Ax1apnrROtXgtjkYJ5H1k0LTMu3dTCiorZOejB/H98e4s5qENUcGIxyYYWpD1PRHaXhcTsy7fxD2vnARLurcAPPvHyTa/+zPWxAIBEIST7LQ//bfuE/+bX7Fu7quWz8rBV/f0RcjiLQCRgKiJn10RlLkU3gQOCpviWhLTu4O7zitPNpOYwVD0C7weeRbZsd2HomEUtqKWlGZRUWiXfPkqSPpSW6RPBQNWq0AS9NixBpmmMaASo2k9Wkr9kV0/pqp8h7dz/68JdSStLTSCzQlNCIbSbysOXJpEkY1RtrzvfVwIEkhTPjJMODdfsAJdbmzqGGFB5dmmKblCMvpOfL9sWbtZ/TtUnkjhn608oxp7F8R9uX6Nq9N3T68Y33MvK2PaFvvprVw44BmOKsZ/RgemmGaWUP+/GAwogkzTGPAit3qHTse+zEyj1OyNFQP4OOle0LL+06UivPrfJXAL0QeoUYYn1HNIB/A188Grp4JZKh7YmwjRfTXm+afs4riKSOVC6SGvB1QyqfdvTCq00gowukcVngg7MtNGdcdz18iV06pnZ4k8nK6nQ58fUdfpCe7Q+otNHo3rRWqOyBJS2IeU0ZsYYZpDCitFN/QjIbutZDlkEoY3a2hOEdu9VRg5fvCekWRqfNhxDkpNYE6bYBazYUe8O4o9sqOpGDn6Gbz5gEAW38G3tCQVbNb1ycA6HMnffteFY1ahjKBALD0dW45JToKDLXSkmStoAFg+9Fi0bpXkjfavG4a9XxVfr9IcJ+HhfIZsYYZpjFA6tEkE9DNMFKT3S5c1TtPcX9udqr4Yb9rgXiA22YVxYzY4nQCdywFxq8CnMGHluZ3JIxcukCAEyEvJ4qV1k8Hns0BNs0yfj6H0/xQ9cyrtcfY0WNKaZ4BAFj9SXTnkShsnSNIP3lSgZbnxWwqSRpygV1yxYYz3+bU6wugkmKY0iJuDEY0Yd/AGCD1aJJvuIu2K8tEGWHSpcodoVI8LvWq4mx5lxFGNcedBLgITUMtj2llMTBzHPDP9/qvsXcJ8P7ZwLTLhW0//If7/PZmfecg+5E7PcCeRdrHHFwNHFipPU4vdvSY2tFYjmfIAj+Xx5gKg9dcLVm3S/0l8ImLxTUDqUnc37HXH6CG8rMoNQoMRjRhhmkMkDpFyfaeeluRRoxaeLSrDq8Qo3qj5TFdOInzKn1zg/5zbpnDfR6MwEgkDVGfjhQAbwXw0RDg4/OAimLt8Xpw2vDBbsc5xTNkRb4rSbmJA/VYk75nQdxO7jF+ZS8uSjasvbghRs3UJCx4QFBq4dNOvT56KD8nI4ppOgwGBdbWIQb4JJapKJRv8bXfGReswD9zhD7g8qnMu8LQRstjWnxUfT+NcKqc9Z6jRi2gjBLWJyvsy04Cs+8G0usDFzxv7Lp1WnOi/oA9/35c7FZvKssmC8suj3ZkICldMEgrzgCptdTHG4Dv6PfkyA4Y2q4e+rWUV+K3qJuOsT1zUVLp41K5wD13pJrYQ9updHljMKIE85jGAJ+kXzK5amYh1H8vbCvbdmGnBuoSOkn0RHkGQ4QVechOouji5B7gu9vCOIlCWLNcQWT/daKD2c4FXOeeFVMAH/HALi4QpwjQ8BDd16JZGKYXNY+pXaS9YsHJ3car66X97gMBILup+jGXfigs8wbqyd1A4SFj16ZwcRdORzrF48LQ9vVCoXopL13eBVOu7h4K/Vf5/fhgsaDlO+uOvqxZCsMWMMM0BngleT1SD6oWtwzQlwN6tVK3DrVWjHZ8qDLshxXfE7K16eSuXBcdoyh5aht2Ba77kdNgvY/IDyTDqmQnKL57z+kDwCutgLd7qV+30xhhuVRdDi4mqOW9zrkvevOwE5+OACZ3A5426L0MSAxZvxcY9Ij6MfU6CLn75UXci9LkbsDr7cW5XQdWAofWGpqOmiQUDXdwfFmlH/WzhL/jnk1rsYp8hi1ghmkUKK/yoaBI8Lj41UL5Jsby05MVwndqHlM7hiEZ9sMKj+nf70V+jh8VZJHcKUDzczgN1qxc7QIl/uXtz+e4z8L98j/O9qOEZbJhxbZfjcw4OqiF8qtKozcPOxGuVJZfHP5GxRmgy5XATb8DddvRj3G6gVNBLem/3gC2/y7sCwQ9sOWFXK7zh4PFHnsJg9uIC61cBrtJ8Tmpx4srsHwX9xLFe10ZDDvADNMocM1Hf6P38wuwN9h5aZekwIk0VMuqtMNKqUoGp17UDNNU9U4hDAaA8Dymp/YB85+i9xi3mnYXi9fVogYAl0oAABtmCNuk827cT1gmDd0+/zE+P6txqt0zrGmTaXuSM8M7Thr6L87nWo02Pkuc0kFC/v63zwW+u0VY91VxChYvEBqlfuV79FMjO4pPbdRjSlTxb80/AwCok25DJQlGtYUZplFg9b5TAIBfN+fD5w/g5d+2ifaTHlNSfH/rMxeIxnVomImWOem4po9cZNkQSje9zFyuiIPB0MKox7TwEPBmZ2Dpa8A3N3LhTIB7yO9eaL2x2utWY+M/vVC+LX+jeD2FMGzS6gjLSu1aY4lbwWACIlNBiGfCFcaXekxJlCJOai8GJcc4BQvRNZQdFI1rp+LD63qqTFCdw6flCgJpCnmpDEYsYN/GKLLlSBFGT/lLtp00TJvUTg0tp3hcSPE4UV7FhXpu7N8Ml/fIjXwiSt6i637g3vwZDC2MeExP7wc+Hias718GvJDHKUCUF4pzO63CjKp0aftO8neQnkPssFpbIwxcbqDZ2cCexbGeiT0oO8WlZ4TDwheU9ynpmap9/2iGrorHFNDWLlWjdzN5Tm2Kh/moGPaBGaYWk18o5Jb+tOEwdYzXH0BhWRWyanhQFdSVG96xPgCuqwdvmNYwKzG9YCt9O8svZejFiMf0wyHiXvI8P90FNIxCFXC/u8w5z4p3hOUm/cUqAvEAM0oFfn4w/GP/fld5n1KRgEdF7YTmKFDJMQWAvGwVD7gGtKr9ZHecfZcZCQ17TbKQzYcK0WfSAs1xg19ZiC5P/Y7dx4pR6eWMUL47VFG5cIMiKyjDIVS9OeMK+oCkjIjOz6hGGPGY0oxSgDPsVHMfTSLca+RvVt539oOAQ+lhzqIOtmfvUn3jKkuAg2s4g/P4Dk6lQY0m/ejbXW6gw6X0fVUUcX61dAEALXMy8OaVXTHj1j7q81E8XpxuIu1GyGDEEuYxtRBa2F6Nr1cfxJFC7ia17wRXKVsz1YPTpVxYp0eT7IjmQ6YMUDFR9JmR4JhRle90G/M6VpYCSana46RoPOQV+WwEkNtbyMH0pAFVwcJFvw/IkVRgd7kKOLqZC5kz7E2xzpzmaZcB+5cDF7wAzNWQhAKAs24HktM5lQa/D9j1B9BuBLev4gz9mFk3ybdphPIBYFTXRtrzUeD9a3tgyKtClzQWymfYCfZttBCvliEo4b1Fu/Djei7cf7KEC++8d00PAMC4s8IreKpJ9D3W7OrB8ksZelESrDeC0y1I5ejheY3mEErQDIIRr2sfV3YKonzRKkJNI+AHarcAbvgZGL+K23bJe8AdSwG3TSucczW0WKszh9fTt+9fzn3+8azysUOfEpZdHqDHDdx3o25roM8dnDwZAAx8gH78SUqDg3C+5wbIqiFO22KhfIadYIapTTkv2O+4T/Pa2PD4MDw7uqPGEXR6NxW8oK+O6WLK3BgMFPwrLPe4QTDOjFB8VNxzXA+LXlLfT2tJuuZT+bbuN+i7nreCvr35Odxn0wGcARIPpLN2k4p8MEh9v1J/+0cOAAN0Fu+JCuQ0MNqNyiDSKnwWymfYCfZttCm10gSvS1aqB44wvZkvXNYZ9wxphSUPD0ZWqqS4iXyIj5oS1vkZ1ZS8s4TlruPCN86MGqZ8RyYafp9+D6xT561PKhEFcNJLVjQYsJpBD8d6BvZAo7DIECkGtFCN5DrrCOVHgjR0n8wMU4aNYN9Gm+KJQA6EpFZaEu47rzXyalFy8879H3D7YuDCV4AuV5tyPUY1oceN8m23LxaHNfVwVKXAiEatFsr71kylb287wtg1tIjXJhQNVCImFoeObYVZRp9W9zApRgxTi/8/pI4OFspn2AlLDdNJkyahV69eyMjIQE5ODkaPHo1t28Ti8hUVFbjrrrtQp04dpKWlYeTIkTh48KCV04oLklwW/deQciZlp7iHVe9b9XuQGAyAqzKu3ZIrCKoXTDNp0EV/WDNcfAqhdQD4mcjhO+sO7tOTqhwNoBnXejj/ufCOsxu1mgvLWp2wEgklo08q9aSUxhEuhjym1obypbBQPsNOWPptXLRoEcaPH48VK1Zg3rx58Hq9GDZsGEpKhPDdvffei++//x4zZ87E0qVLUVxcjBEjRsDni+4fZrTR8oh6rLpR7COUAoy+8TMYJHeuAB7eFV6lfLjoNaCGvwg8cRp49AhQQ6HDz8D7w5tDIlTdZzTk/v949i2L3VyijZJKw/4V4nVpQ4VI8eiQWMtuxn1aHMqXwkL5DDthqVzU3LlzRetTp05FTk4O1qxZg7PPPhuFhYX4+OOP8cUXX2Do0KEAgGnTpiEvLw/z58/H+eefLztnRUUFKiqEN9mioiIrfwRL6JJXE1/d1gc/bTiMh2dRcthgoceUbP3oZIL6jAhweaLflMFIiFMrL1utTaca8Syrdv4kYPXHwO1LxC+mNeL4ZzKK0ndI6tEk28zSUBLTVyIlS1hucS4nJSWF/3sKV+LMAA2zUnA42AAmmclFMWxEVL+NhYWcxEytWtxNcM2aNaiqqsKwYUK7woYNG6Jjx45Ytoz+Bj9p0iRkZWWF/uXl5Vk/8TA4cLJUcd/AlnWQ4nFhbE/luVsWWiHDU3re4BkMo1w5I7zjXDoKikiPqc8LfHWNdqW+EvHWuckM+t4J3LWG83I7HEB2U257ILEjVCKUvO5kOlPJCeDvDzROFEbr2Xs3A7f8AYz9AhhE0UXlnQVRyPl9dWzX0LKbpXIxbETUvo2BQAD3338/BgwYgI4duZy0/Px8JCUlITtbLBxfr1495OfTBZAnTpyIwsLC0L8DBzQ6ccSIsirlG/11fZtoHm+ZxzSDkIxpfo4112BUb1oOAdIMSOPwXPKesFy7JXDJ+8C1P4jHkA/s/A3AltnAn88BJyhakFrQpKUA4OE9xs8Vr/AvA9Upx5QMkz+4A6gTVJTgOzBt/hZ4uTmwcab5166ZB+T24ET4B08EBhKtUR0uLncbiIrHtGuekOISMOr9ZTAsJGqG6YQJE7Bx40bMmKHtTQkEAorySMnJycjMzBT9syN+lT/07DTt3E6j4vy6ObFbWI5Gn3JG9cOdDNz3j/HjHE7OEM3tzXmUulwJtBgsHiPymBIGxlvdievrjAQoST6phepbydOL4ho+nF+dDFNeLiqlJqct6gmmdPCGKa0Tk1WQ6QJXf80VEwJAhfUpamReqVRwn8GIJVExTO+66y789NNP+PPPP5GbmxvaXr9+fVRWVuLUqVOi8QUFBahXL77FoP0qcooewht6eY9c6piF246ZPSWOXx+y5rwMBok7ictnNILDyRmit8wD6rWnj9FjQOmVrPLUAMZ8Clz6kXxfiyEKxyRY+otLEjo+uAYoLojdfKIB7zHlf3Y+19iopm7ddtpjtDi1T1iu30ko1FNqX2oiTqcDH13XE29e2RU5mQn2vWbENZYapoFAABMmTMB3332HP/74A82aNRPt79GjBzweD+bNmxfaduTIEWzevBn9+vWzcmqWE9CZf7Qtn34DGtcnvBakDIZtaEkx7mpkAxe8SB+vFFon2fy99hgjuaMdLgHajxTW+93FfSoJ9ev1xsYLIcO0Eji4GvjoXOCVVrGdk1GMyjrxRjifz3kgWI3/zfXGznPll8bG0zhCtEJNSgV2B/vXz74n8nPrYGj7ehjVtVFUrsVg6MVSw3T8+PGYNm0apk+fjoyMDOTn5yM/Px9lZVzIJCsrCzfffDMeeOABLFiwAOvWrcM111yDTp06har04xW9KTvN66ZRt3dvnE3dzmDEDTTdxof3cP3DaYoQerqbVRQKy4rV1QaLmhzE+Pqduc/df9LHkpXViQAfyt/4NfCRgpfYThz9B5h6EZAfbMywaRbwbA6w3kDB3emgl9JbFtlcsrVrBTTJqC8sJ6UDVQa9tgxGAmKpYfruu++isLAQ55xzDho0aBD699VXX4XGvP766xg9ejTGjh2L/v37IzU1FbNnz4bLFd8Vs3pzRG87u7n2IAYjHqHp5PLGZ24vyj6Df/NKBSJGCzlITy3NqO14mbA86P+Mndvu8B7TLT+Jt9u1GObdfsC+pcB7/bn1b2/mPn+4Q/85vr6O+yw7pT4uGpCe+TDbTjMYiYbloXzavxtuuCE0JiUlBW+99RZOnDiB0tJSzJ4927YSUEbw+vT17O7QMAubnhymPZDBiDeycoGu4+j7rqZUPDfqQR970+/i9aIj3KeiYarvby8EaRDQvLykEa2lbRlvKGkZr/siuvOorrQK3vuTg0W8WSyFi8Fg4mUWUanTMAWAjBQPfr1noIWzodA4vnN4GXGAwwGMfodu7JEh8exmwP1bgfS69PM0PosTJOfhq6ZN85hqGKZK1fuJwI7f6NuXvxPdediJppJ7cftR1l2ry9XAldOBCau4daUuZQxGNYIZphbh9dEfjtf2oecltWuQifGDW1g5JTGeMLveMBhGufAV7nPgA/T9KVlAZgP1c5AFU/uDzTcO/E0fG0k7R5phqkf4P9E4tgXY+kusZ2E+B9fIt0m9+lKP++h3rZuP0wm0vUjINR0eZrMIBiOBYIapRXgV9KLUehJPGNwKtwxohll39LVqWgKZDa2/BoMBAD1vBB7YBpz7mHh7v7u5z2HPaJ+jbmv5tqWv08dG0jWH1mK1XofwzxfPzLwq1jMwn4/OlW+T5g1LPfGeVOvmI6U24ZxIdNkuBkMBinuAYQZVhMe0WZ007DnOVVvmZCp7X2okufC/EQr6jWYz8P7oXIfBAMTVxzzDngEGPQwkZ4R3zo6XA5tnybc36R/e+QAgk6Ir3LAr12a1Jsv/S0hIw/OjoULFPw+tKGnEG9bMhfTWntzNNQBgMKoZzDC1iKpgjmmX3Cx8f2d//P5vPuZvKcB1fZvGblJk7l2yPTtmMaoZ4RqlANfWkUYepeJfi6u/5jxUNM8sALS90Pg544EWQ4BdC2I9i/AwmktcWUrfTnrJD65SP0e7kcDlU4XWoWaTRHynaaoWDEY1gBmmFvHDukMAgA0HC+F0OnBBxwa4oKNGHp3V+H3CslGtRwbDbqz5VL4tI8wUldaSVqMNuorFzxOVYc8C78aJYSo1ROc/aex4b7l4fdy33CctfUMJp9s6oxQQv2wx+ShGNYXlmFrE/C02zA8ic6doRR4Mhp3hC0NoGqg8erpHMQS0vHLl1vds182Cp8XrfxkMp0tzj8tPc59GPJPRuG9mN+U+I8mVZjDiGHYXt5hBrRUkcGIBWa3MDFNGvJFej/s8uAo4RKmuBswzTPlrJTpOjd/X/CeiMw89LH0tsuN9ktalDbpwn0buhZGknuiFN5SZYcqopjDD1AJIcf1mdegtR2MCeaNTEtZmMOwK6dn6kFJdDQCF+8251kWvcnqWVxpodRmPaBlle/+KzjyigbdSvJ7djPtUC5k3G8R9Dn8ZqN8JOGeiNXMj4e/Nvkr1cQxGgsLcZhaw65jQ79jttFGekCiUz3JMGXGGNORaoxZQdtKaa9XMA26YY8257YSWYXp8W3TmEQ6NegKHVusfL/WYauWK5vYCRr7FLZ91G/cvGvA5r8xjyqimMMPUAlI8giO6ZqqNPJP8jc7pYYn1jPhDWqQiLWZhGMcRxy+oUqM6EFC/rxn1QN7wc2y6fvHf80gaRTAYcQwL5VtAhVcI5Tvt5DHlb8xGqlAZDLsg9Zgyw9QEJJXuRiWKvr8DeDIL2LPYvCnp5cAK8bq0Y5MUMpQ/5lPxPr7giCRWck2hHFMWymdUT5hhagFnyoU33ZFdbNRhiQ/ls/xSRjzilhgKWoYIQxvp73DiIf3HVhQDG4I5uJ9dDBQfM29eUipLtMdIOzZJ4UP5ddsCHS4R76NposYqqsRC+YxqDjNMLeDBbzaGlnOzo9jOTgv+RmelDh+DYRV6PFhprFOOIcjf14M75cZ/+1HKxx79R7x+ep9585JSqMNg1jLkyk5xn8VHKTsNivVbCS+yX3EmtvNgMGIEs1BMpsLrC7UftRWBgOB1YB5TRjyilA95xTSgRjaw7kug/z3RnVO843IDjx7lvIO0fMp/fwRO7gFqNaMfS+KtkI8xiz+f1R6j5TH9+33ukzdQSWxkl8JTg/tkqSqMagozTE3mx3WHYz0FOp9eBOwLSr+wVneMeETpQd3uYu6z6YDozSWR8KSI11NqCuLzADC5K/BkIbf826NA/kbgup8Al8SQ9ZZZN0eya124Y1JrK++r3dw8qbFIcbJQPqN6w0L5JrOjwKbhl32EHqFdbsAMhhHSWZg+Kty9Djj7Ifn20pPA8re5QqfN38o9lFZ2iWp+jvYYLY9pndbcZ2+K7NOoKZz8mB3gPdHzn6DnvjIYCQ4zTE3m+3UGigcYDIZ+snIFXUmGdaTWAvLOkm8nC5AOr5N79PQUKIULX6HeaQww9Cn6GDXDNH8TsOQVbpmWY5qVC4z9LLI5mgUZ0dq7NHbzYDBiBDNMTeZ4MZP4YDAso93IWM+geuCWhPePbQfWTRPWfZVAVal4zLLJ1s2noliY14559DH5mwC/glLDe0Sax78/0sc06S8sX/iK8TmaBdltq8JCLzSDYVNYjml1JLVOrGfAYISHND+605jYzCPRye0lXp8iWS86DCx6Ubzt+HZr5rLsbWDh89xywK/ctW7GFVx+7P/tVZd6GvokfbvTJeTSxpJjW4gVG+lgMxhRgnlMqyO0MB2DEQ9IK8eHPB6beSQ6nhTglgXK+7fOEeetW0VFMfD7o8L67oXqDULKTwPlEuNSqhZQu5Vp07MelmPKqH4ww9RCxg9uEespcEhvzEzHlBGvSL1lKTVjM4/qAK+nGUukeaNFh7RVRcimAZtmAc9KiuaSbfBzqcHk/Izj9wH7llmb58yIGswwNZFDp8VyKYdP20SHTnpjZjc+RjwzbhZQvxNw7v+AlMxYzyZxSTLYHKTnTRZMguIxlHpMG3QRr5Mv4t/eLD8+KSPyaVkJr2MK0LVlGXJWfghMHQ7MuDLWM4mc1zpwbX6LbCo9GQWYYWoCfn8A9321Hv1f+EO0hiOfPgAAIABJREFUvX9LG+RyzrlPvk0tFMZg2J1W5wF3LKVLGjHMw5NmbLy3EvjqWmDJq+bNQapNml4PyGkv3la3nWQeGg6BZJsbpsnEy5bHRp0D7cyaT7nPPYtjOo0QvirgDK3DmAZV5UDRQW75tXbqYxMYZpiawOyNh6kyUZf3yI3BbCSs/kS+je9vzWAwGEoY9ZiunwZs+QlY8LR5c5Aapl2uBPqOF2+Tpnf4NJRRpA0F7EbdNsKynsYCDMBps/S0T0cAr7YGjv5r7Dip0kU19Zoyw9QEtuXLRfXvPMcm+aUMBoMRDlLJqFggzTFNShfnviZnyQ1TrdaoGQ3MmZtVjH5HWA4ww1STQAA4uinWsxBzYAX3ufErY8edljS/qaZtaZlhGiGllV68s3CXbPstA5vHYDYMBoNhEmqSS9FCaph2uFQ8r4AfcBj0mNo9lSmjPpdDDWh3s2IAW3+O9QyUcRg0seZJVEaMHp8gVM+f2iROlVSi/eO/UfeleNivlsFgVANoYVSzWmlKPYZ1WorX/VXGPKaXfmjOvKyGN7aVGgYwBOzcHStg8P+v5Ljk+OopF8aspwj4c1uB4r4aHgUR6GgizU/iQ2DXz4n+XBgMRmLCe/dIpO1Kw8Wr4f30++SGsa8CKDlBH995rDnzshr+Z2KhfG2MGn/RpFThe6hEwT/idTv/bBbCDNMIUIt0OcwIg5UXAZO7A3P/G97x0kTq/x7iOps0Gxj53BgMBgOQd4kCOOPQDLyEBF96ffl+h1Meyl/4AvByc2D1VHPmEAt4LzAL5evAxl7FdV9EdjwzTBlm8ezojuac6O/3gZO7gBVTwju+slR7DIPBYERCF4p2pFke0yqi+GPkW/L9DgfglDzGDvzNfc6515w5xIJQKN8H+JhxqkqihLtpKSjVVJWBGaYR4FTwio47q7E5F/jz2ciOr2JdMBgMhsnk9havN+ohH/NSM+DoP/LtRuE9ptnNgNbDKAMc9pMKMgPeY7rmU+CFPGD3ophOB1Vl9jUA7eZVDNeYLDst31ZNUzmYYWoBpoTxzYB5TBkMhtnorWp/t1/k1+I9pjWy6fsdTrFXNVHgDdPdf3IpWV9eHru5HN8BPFcf+HFC7Oagxs754vWSE7H1MmupQihBS9tgHlOGUZQ8prahisjPemh37ObBYDDik27XyreRHsr+91h7/T+e4T4Pr1Ues/5LfedSMm7tiFEJLCtZNpn7XD8tdnNQwu8DTu8Tb3u5OfBW9+hcf8NMYOqFQOlJYVuBQVF9Hppm6eZZ4Z0rzmGGaQRYZpgeXg+8Y4a3IRjKz2kPpNWO/HwMBqN6MfIt4IHt4m29bxWWW5xr7fW1HvJOFwCd9+GBD0Q8nahRIW/aEjPsGsIHlA12qbFqBX4/8P3twL6/gG9vEbZ/Mlw8Tu/v7+Qe+bbN34U/vziGGaYR4LTKYTr7brlsRDicyQ9+Hon8XAwGo/rhcAAZ9YCb53PV93csFRujfKhRSwh85wJgxzxr5lcjS3vcbYuAPuO1x9mF49u1xzDMK7ILB1IxYtcC7nPPErkihR5v97HtwJeXccuZjYTtdo/KWgQzTCPAZZVlalZ+zE93cZ9lp8w5H4PBqJ7k9QJumc9plrprCNtDhqmKbrO3Eph2KZcnSSvwCIdR7wBJGcCV04F2I7XHN+wqr963M+Um/Z4SnVgapqcoXtnPRsi3kSl1Smz5SVgmG0Z0piheVAPi6C81PkhymfArNesGGsu8JAaDkZiQ9ye+ativYCAUHQYOrRHWCw/ov45aB6du44BH9gNNBwDnTATS6uo/bzxAes0A61Mm1LBzAY5ZernhsPB58fo/39PH6TFMSc/o6f1A9+u5Zbu3z7UIZphGgM8v5I50a1wT95/XGnPvjUC8/tBa4Ps7gMKDJswOQO/buc+W55lzPgaDwSDRkurZMQ+YeoGwfmKX/nNXEnJ3yZRwPW8gJ6cDD+3Uf954oI0kT3HXH7GZBwDsXUIs/xW7edA4vE55n9WV+eVF4vVvbqCP8yoYpiXHgZUfBiOakuirOzl4LMXwLjsFfHEJsE5SjFZyHPj1/8yRaYsxzDA1QJXPjyl/7sRr87aj0uvH8WLhS3PXuS1x95BWaF43PbyTeyuADwcDG2aYF3rn875oLQMZDAYjXLpdwxVVthgi35daR1iefbd4n5HQK/lQ7hSBXNIVNqwm12LQ/9G3L3gGWP1JdOfSfpSwPFdhXrEivZ7yPt4gPL4DWPsFV6xkJjV16pUreUxnjgN+eZArnJJq8bqSuE+aR3jNZ9yLyo+SnOnJ3YC/3zNHpi3GMMPUIC//tg2TF+xAWaUPi7YfD20/t63KH4getHrqHt9h/Jz8l5p/+2IwGAwzGDUF+M8ywJMi39dtnPJx392ivE8KKZ9z3tPa40e8Qd+e2VD/Ne1Ceo58W8FWYMkrwJz7oqvTWau5sOy0WWhZTbWB17d9uyfw0wTz5a5qt9Q3TskwPbCC+9w5H5j3mHgf/8z2VXE52iVB+2Dzd8D8J+jnqyiib49DbGGYvvPOO2jWrBlSUlLQo0cPLFmyRPugGOB2OkKV+BVeH7rkcuGldg0yIz+5WvEAAHxI8UxowXsc+LcvBoPBMAsyLy67GX05hRKC371Q3/n5HPka2Vy4XouaefTtiZJ/SnYCjGZXPzLPMe+s6F1XD3yBLwDUk7QCr5I0mNm71NxrVxbrGzfnXuOSWy4ilD99LKfNenI3MOtG+vgEa1sbc8P0q6++wr333otHH30U69atw8CBAzF8+HDs378/1lOT4XA4wKeV7jtZiqrgSq+mJgg3a7Ueqyg0fk7eMHVTvBoMBoNhFl2I6uFOY4Tlcsp9a4EO7ycgeEz13r/Ih3+fO4EOlwJDn9IfcrUbKTXF61tmC8uVUTRMyeKn2i2id12jHN0sXpcK1ptdwa8WxWzQRVjO38Rpnepl4IPCy0DZKa77F6CuaZpg8mIxN0xfe+013HzzzbjlllvQrl07vPHGG8jLy8O7774b66mpMua95Sit4N5SaiRpeDv1sHCS9hhajkwgAFQovLnxXSNoHSUYDAbDLPrfCwx9EvjPcm3v5qE1+jxI3qDHVG/EhzSg+t0NjJkKDLhX37F2RO13tGFGFOdBPHdiKc8kRasVrTSEbrZKzb8/KO+7daF43Ugq3tkPCaF88hpqmqb7l+s/fxwQU8O0srISa9aswbBhw0Tbhw0bhmXLllGPqaioQFFRkehfrCgs4/5I05LcGiN1sPZz7TG06r7v7wAmNQLyN8v38Uh7CTMYDIaZeFKAAfcB9drrG8+/LFeWao/R6zEl0wYyG+g7xtaoGKZ6vc6mTIM0TGMoz0Sy60/gOY26DqlDhtaL3iqkko9lJ7kXjSMb1WXQLniR+1uivoypGKbR/NmiQEwN0+PHj8Pn86FePfEXrF69esjPz6ceM2nSJGRlZYX+5eUp5BVFgW/WcLJOqWZ4TPVAe0PcOJP7XPaW8nGs+InBYNgJbznw15vA8w2ALXPoY0LFmzo9po37cJ7bUVPMmWOskXpMycYG0YQ0euziMSVzS3mksohSj6m08j1Smg+mb+95k3xbWg6nUPH+QOC5+sqOJL6YkPbMVtOTrVFLfa5xRsxD+QCXu0kSCARk23gmTpyIwsLC0L8DBwwINltEqhkeUz2oVu6rvF2zHFMGg2EntswG5j3OLf94J32M0Rx5hwM47ylOyiohkNzTlfQwrWbRS8KyXZq20DyEF78J9LhBWC88CDxJeNE9qebOQclIrxGsOREVNAeEqGjADyybTD+W95S6KIapWuQzu6n8HHFMTA3TOnXqwOVyybyjBQUFMi8qT3JyMjIzM0X/Yk1askUe06u/Fq9vVfAsAOr5SK3PN2c+DAaDoYdmg9T30zxePGWngU2zBD1n2kO6OmC0ktsqyk4Ky3YxTGnh8KxGnHHK89ME8f5NkudppCh1O/MEPdujiToZX5U+w5iX46JFCSrOKB9HFk/7quzz3QmTmBqmSUlJ6NGjB+bNmyfaPm/ePPTrFz8isZZ5TOu0Fq837KYyWPJFJL+YbS4ybUoMBoOhyZhPxesNuwMdL9N37MstgG9vBn4KivNX11Qkhy0CmmK8NjFMpVJQsUDJY1orqFzQ8TIh79nvFTypALDxK/qxfCcr2stYHYpuKh/eF6UtBOzdRlYHMf/m33///fjoo4/wySefYMuWLbjvvvuwf/9+3HHHHbGemm4syzGVhrDU3lalb0ikxlo17bfLYDBiRGot8YM4r7eyF6e8UNhXVS6EaXkvUHVNRbKDYSrVx4yVwktVOTD9CmDfstjOg4RmmLprAB0u4ZZdbqDV+cJYPf+fvCwkNa+akt7Iz0HqQVby5sYJMf/mX3HFFXjjjTfw9NNPo2vXrli8eDF++eUXNGnSJNZT043LSXxhTu7h8lrIvJxwkSZrK3WQAOQ9q/8gxJgTIOeEwWDEGWRr5XMfk9+jSIoOc580g0Nv8VOioSYPFC2k3YRi5an86hpg+1xg6vDYXF9KVRlwdBO3TDaU+F+++P+NdwoV/AsU6qiHadg9eBzFY0qTp+INUKnTat20uPaaxtwwBYA777wTe/fuRUVFBdasWYOzzz471lNS5M8Hz5Ftc5JfxMldgwOfi/xiaXXE6388I14/slFY/uc74BuiK8Tf7wnLzDBlMBixJDkdqgWa678EdsynG692a4MZLUaqKK1kREEO649ngY/FUo4xM0xP79M/Nhrfl9WfCMsXTAKanwNc8r58HP9ytv5Lfeftfj33qbdQi/eYSj2kvzwIfDRU3zlsiC0M03giq4b8S5+ebEKOaf3O4vWcDtybV5P+wjbpW9GRDeL1fxQ6QzijJGfFYDAYSpAV01L+fA748jLgxC75vu2/WTYlW9N+JPDIAWDk2/J90ShuWfwycEIiDK+mO2slRuSQxv9N355lgrRk2Wlg7n+BrT8L29JygOt+FHc/49n2i/5z37WWC/8DqpKlIg6u4j5pLUkPr9V/bZvBDFOD0PJJ2zXI0HdwIAAc30nv4MTnUY2aAox4Hbgx+MW/7ieg/ShuWVo8cJrStpXmvrdDSIjBYFRvWpyrLeV0fJt8WzjtmBOFlEyhypskVkL3aulk0UKrACsrl75dTyhdi3mPAyumiFuMmlHD0fs2cbtXvS8efMqgXdQSTIIZpgZJ8cgNUyXNVRl/vQm83QOY95h8H5/wn1aXE+jlCwdcbuFNjzc68zcBr3UAVlJCB3a4cTAYDEZGQ/k2qdKIFDIvlcFBUyWIVXV8zKrhCUOt+Kh8Nxn6VktdK4/wJefoP/Jtaoap3pB8rRbidb2NDPjUF6VipziVjWKGaRjcdS5FtkEP85/gPpdTQjO8YUoLu/NFUFVlnMd19r1A0UH6H9nuheHNjcFgMMwkmRJJ0sr/oxU/pdaRb6tO0FQJYuYxtYFM0xsd5duu1dlTnhZlNALt3GrV9vdsVN5H4pKkAzbowv2/124J1O+kfBwfrqeF8gF7qBeEATNMw+DS7gqhAikn9wjLhYfoYwIB4Nh2Qe6B1jaN37bqQ87jemi18jUXTtI3NwaDwbAS2kNcq8Ke5gm8ZpY584lXaIap30tPCTOLPYvp22MRkfv7feCAQt4oT51W+s6lpgyhB5oRqvY7SdHZAKhBV/F6Uirw8B7gzr9VawZDKHlMY5UTHCHMMA2DFI/Kry2J8BKUEh0zXm9PH79uGjCll5BbpWaY6uHo5upbLMBgMGwExTA9rZHnt5gis5eUbs504hXSMCVDw1blFe5ZDHx2sXgbb5BVllhzTTV+fVh7TKqkOCpH4XkbaWibdnw9igeXR0sRJ6UmcMWXQG5P+b6kVM6TOvJN+T4pSt+FSpVuUTaGGaZhkOxWqHKvOCP+Iuh5O1vying9UsMUAKaPNTaewWAwzIbmXSr415zzVCdILzMZSrcqnL/iXfm2lJrB68dJDcOdy4EnKalukXYRO7RGvk0ahifRqj9p0h9oN0J9DK9tytNsEHBeUDqSF/NXCuVXFNO325xq/hcfBhu/Rsbip8D7158Z1UHY9/OD4rFeHX/ERUfE61TDNAK5p9xe4R/LYDAY4ZJEKfwIx2Nl9MU80aCJrQPAKQPanlrMexyYOY5bphmffEjaW2Y/4XYj349I5x6QHP/gzsjO59RhgkmN21FvC/nbfOqLYiifGabVg+9uhefvt3GOk9MQbd+QyCFp0EU89otLgG1zlW/G3gr5W69a8ZMSXVUkWIoL1I9lMBgMK6BWJEvuhdfP1j5Pdvx0AbQEaV4uHx5+fyCw7dfIz++t5BRjts4Bdi8Cmg2Uj0kmnnNrP4v8mrFCalgaRdrYIL1uZOcLh5qNBQkxvrhJKZQvbVUaJzDDNEy61faifmYKOjTMEjZunCke5PcCM66QSz9k5XFC0jTZC5oRmr9JfTJqoYRodAhhMBgMKRe9CtRqzmkz87SRtJSsrbNopToj9ZiS6wsk3QDDgYzseSuA8iL5mBTiObd/ReTX1EukOaGZkkJlrRxngAvXn9xN3yfVEo8UqUyUFnxaC5+SEDJMFTymcVpvwgxTIxB/JBPOaY7FDw8W65pKc0F4pG8zhQeAt7oDW+bIxzooHtNNX6vPy+mhawYCwNAn1Y9lMBgMK6jTCrh7nVhUv8dNwnJqbeVoUFZj4NzHgPu3WDvHeECaF0nWMZhR3FJFSAolpwN/vSEfU3qCuKbJBVB+H7BpFlB4kLJPIXdSLzf/DlzwgrD++6Pq40/uBj48F5jcTVy8zLN3aWTzIel5E3D2Q8aOCRmmwYI43jDlf09N+gOD/yeMX0G8FMYRzDA1ApG476qRiSS35NeX1Yh+nJKb/beJlI2UN8TsZurzcnmUk6wzFQxWBoPBiDZOJzDuW6BOG+Dqr5Xz5zMbAGc/yO5fgHpltxlC+6TWpVJxE1m0tpXiUImE5VOAb28G3u7FeWvJtrR6dDiVHEIA90zu8x9hXcuoPkS08dz9p3hf4UHgyHphXauLmRYjXudeBIwg85gGQ/W8jdHsbGCQQWPXhjDD1Aj1OggC0TRtuSqFPyK9XRwAenJ2rebqxzjd9D69QORViAwGg2EmrYYCE1ZyEjlKhqmWbmV1Qs0wLc6P/PxkHmKkHspw4DshVpVy4vlvdQeOBeUTaZ2WSHrdAoz5VP+1tH4+UgFCaqRLPbqthum/rpS712uPocFHVN3SHNOgjUGLQJzap1y1b1OYYWoUvvqNFnZQets0IutB+8PRkp1yuoBBjwBXzpDnrDDDlMFg2BUtnUeG9b8j0isZa6lBvpvhzvnc5yfnK4+9+hsuj1kpUklFQ75p7iPCsrRwiGw9+v/t3XtcVWW+P/DP5rZFxK1IgogKqCMimgSWloVoCT8v2XjGUVPTyiYqyktnyi5z8nhKPb+f42mmKS1/jnMaLZtCm/I3vwYsL5mMjqIFkpGpeUFCU4Eyuchz/tiuvdfae619v6wNn/frxWuvvdaz93o2D8LX5/J9IqKBwXe7cV+ZX/wRiHMyCmpr4m/NnWIzNl2///W/6y02ganaz8rvhgFva3Rc6RQDU0/9v8X257TSQ7nTYxqjssrvrn93/JrKYvPKzfQJ9jtNaKUaISIKNml1MWmTpxTKmqPcxAXwfoFQQ436+QF3efe+3rhy0fx3zZGfedBjefOvHF+XL0i2nYIn742841+d5yjV4kl7jZgPPFsDDBhnfi6N2DZc7yBruT5FQS1FGwAcKzV/P+X3ri4BfjccKHle/TVBxMDUlzR7TN2YB9Stj/25XjcC0zdqvyZC9su9zmaxAHtMiYjah0N/Bm6erzzn7fC76loHAON+o36+qzs9lB76dBXw3gPOy7lq2HTzoztzOk02K/oVC5O9+M9AymjPXidPGybvGa0/a409VFO0XffeA8A3H1ufvzUNuHQCKP+zZ/XxIwamvuSLwFTL4MnmvXPVyH+ByIdlejuYw0VERKHHdojZ21yVFzX+rkR1AW65vnBo5KPAmGfNxwOD2JPqKam3U20Nx7VWYNf/Br7dqzx/8jObgvJg1MPe0n89BsQmevZaOXlv7ZULssD0eifVWI1e0HOf25+7etn7+vgYA1NvtDaZE+hL8021JmpLKyeNXdWvu0prrpFWQPwzB/NziIj0IGOK+VG+ytmkMnJEZtJwrsTbjg+pN9FWeBSQ/xLwq53A+Bet+bJ9ufNTmwvbdvuC1EGjtkPS528DO14CNtjk2N1nszWrfEqeO8P4uU9ff1ziu4T88pFQ0WbdqlbqMR3xkPrrvJ32ESAMTL3x5hRzAv3/GmKetP391+rl1t9pfvR2WF0++Tp/ufVYa56Wo259IiI9+MUGYNERIF22Z/gje7XLd2QTf2v/e/3HC969Z99b1M+HR5oDuqQs86M0lO3LwFQKqNw1zM3FPFI2HbXV6VrJ9G1XuCumTLgRmI55Bni8HBizxHlZV8mnGRzfCdQcMh9LMYZWrBEiW5QyMPXGqTLr8R9c2JP+x/NANy+21wuTBaYptwMTVgE33gsMmqhePud+z+9FRBQIYeHmP7TygCcqJnj10aOiA8DMd8yLYGxTFX7sZHGsM9sWqZ+3DW4sw+E+TD3kTrL+LrIh8GHT3LuPNNqo1rusNRLZ1qrMvuNpz7TBAPTo7/liKWe2L7UeSz8bWoueQ2SLUgam7pq4Wv38D98B8T9z/vq0MZ7fOyzM/D/FAXcCCZnAzQ8BP1+jXLUpx1/uRBQq5PuYc268UvxAYFCB+dj2e3N0m+e9mP9cr33NNgCW7uvtfvNyLS4Gpvf+RZljtM9I9+4jjTbuWQ1cPmVzzcGW3vVngC/eBX66rOyZ7tbXvfsHihRka8UEEvm2s6OK/FcfDzEwdVfWHO1r0hyU/uO0y6j9b7NzvPlx3L85v//U14HZxc5/8IiIqP2J7m5/7vPNnr2XWtpDiW2vWzB7TAfcpQxM3d0xSd4r+pFNFgL5SKStP+YDW+YDxfOVPZNDprp3/0BR2/hHwQA01gIrZXO4R8zXLh4kjG7cpbW3M2BOvQAAmQ5+aNVyms7fDjx7Drj9Se/qBlh7bbv4YOUfEVGgdDIFuwahoVtf4O5XlOdsewFd5Wgdgm3nR5gf5pg2uzjH1GBQBqbukgemP13SvqblWKn17zug344hZ+tYDAbgt4OU53SYS1in310dc+UH0tHe9mq7OEV21k6M6667XwEShwI/X+ub9yMiCoTUXCDnAfPceXLspvtsTni42tqdxUf+WPzk6mIcg0GZx9Nd8oXDtn+Dwx30mIYaZ8G72jxXHeY6Z2DqibQ8x9c7x2nvhTv2OSA6Tnku0ln3uxv6jgQK9wD9ndSRiEhPDAZg0n+Z586Te+T5q/1FGi305RxTdxY/SWmXPBl6lveK2gbWIZJCySXOFlhFqUyBcDr8H3gMTD3RPcXx9bBI7b1w49KAX38DDJRtp8a0TkRE5A75lqGn9/v/fpahfB/OMXWnx3boNHN2goL/dP8+iuF6m0BUvg1pqItwMiwvX/Qk0eG25QxMPXFil+Prjlb5AebpAGcOyMq3o6EEIiLyv8Sh1mN56kK33mOY62WDOZQPmHsD4wc6//uqRjGUbxOYnj/q/vvpwfDZ9udiE9TLjnzM/KjWs67D+bL6q1Eo0ErIK3G0yk+Scptv6kJERB2PL+YGurPvvRTAqK2T8JSri5+8Je+ZtZ2KcHSbe+81faP39fGF7Hmul5WC+UBM+fABBqaeuGGw4+vSPI+HPtEuE8kco0RE5KHeOcrnFzR2HnTENmn86MXmPNlT/699WUf7zXtKSvjuzYp7VzSesx6f+8K799La0CbQ3Mn1K7Wd1vblOuNBnzjhZ+OB819qX5eGCnpnK8+Plu2wwQTSRETkqQE2+bKbVOYPOiMPTB/ZC/TM0F5AY/DDHFPp/iPmA7c+AexYDnz+lu/eXyKfY+rt4i29DH1fueh6WWkU97sjyvPybYB1RCff4XYkIhro0tP+/IiHgLG/sT5nYEpERJ6yDSDVcmQ7I71m+kYgYYjjVd3+2PlJCkzDo4BufYChv/Dde8tp9ci62/vrzpxcv7OZK2ub9H/G2+bH+z+y9phe+EpZRlefx4qBqSccpZd4+oT6YqaMu5XB6OjF5tVwN//K9/UjIqL2r3CP9djR5i9a5IGhM/5Y/CQFxtLfzP5jfffecqZk9fNaGxNopYT095QDd6SNUT633SY1fQKwtB7oN0p7wVhdlT9q5jUdfZfbgXCj/S4Kcz80J4xOvUN5Pi4VeOYMMOH/BK5+RETUfiQOBUzXt5e0nS/qCtvA0BF/7PxkGxgbDEDhZ+Zh/dsW+O4+w2dZ02vJ0zNuW6RefvLvzH+3n6xWnj+nkZ88GMIjgUkvW5876snWWpB9oVr9fJAxMPWE5nCHSk9q6h3aCaO92cmCiIhISpru0VC+Gz2m3g7ln/wM2L9OOeJoub8scErMBMb/h3V7bV8IjwQmXw/i5HNktTLsdO5h/rutlX5JL3Lutx7H9dcup9Wb3mOAb+vjI1z85K3CPcDa0eZjT/7HSkRE5ClpmLbNz4GpN0P5QgB/mmA+vmGQdQRRyiSgdv9h04HvqoC0XPfvpybqeiaca83mID48EppbucrrU3QA+EOOejk9uP8j4MRuIGuOdhmtoXyd7hDJwNQT8gnD8iTHREREgSQFUd4sfnJnKN+THtPDm6zHdV9aA9NTe82PNSpD5OGRQMFy9++lRT6E33IFCDdpl5V/P+IH+q4O/tBvlPnLkahY+3PT/hsYPNk/dfISA1NPDJkK/HQJSB4R7JoQEVFHJs0f9CQwbbm+V71LQ/lSz6wH6aL++pj1+IZB9tcDMXdTPpztrNfX2Z7zoSamh/25IfcEvh4u4hxTT4SFmeefJA03P5d6TftxNyciIgogqXfP3aH81iZzBwvg2m6FUmB36aR797F1TSWw9SSjgLvkK+ql4FreuTQZYms4AAAVe0lEQVRzs/lx3Av+r0ugudK+OsIeU18o3ANcPq2dkoKIiMgfwj3sMT2+y3oc3c15+Z9kCd2PfWyf4N9V15rsz7nSY+stg8E8T1Zcs/aYdk0yP944Exj0v4B/u6ieY3zKq+Ze34mr/V9Pf7CdqnHXsuDUw0UMTH2lW59g14CIiDoaV4byW5vMPYbyAOWtadZjtU1hbHWVdbxsnGrOkemJVpXAdNAEz97LXWHhwLVr1nmy0vdMClC1Nr7Jmg1kTAGMKnM1Q4G8R3roNN+m4vIDDuUTERGFKkdD+RXvAUtNwIs9gf+I9y4HqdrcULlrLcD/XwJUl9hfy5DNZ1TLXpM12/N6ucM2s8C+tdp1shWqQSmgDEwThgSvHi7yW2B68uRJPPjgg0hNTUV0dDT69++PF154Ac3Nyh+AiooK5ObmIjo6Gr1798ayZcsgHO2sRERERGaOhvKLH1Q+/+E7z+/jaEFQ3VHgL3OBfWuUPbGSqvetx/IgUJr3GWH0vF7usGwSYDPP9fBbgbl/sMgD00DM5/WS32p49OhRtLW14fXXX8eAAQNQWVmJhx56CD/++CNWrVoFAGhoaMBdd92FvLw8/POf/0R1dTXmzZuHmJgYPPnkk/6qGhERUfvgzqr83auASX6YJ/naLa6X/eBxYPj1HlLRZn4M1OIcqcdUuq/Ek4wGoUQ+hcOgMV1BR/wWmBYUFKCgoMDyPC0tDV999RXWrFljCUw3bdqEq1ev4k9/+hOMRiMyMzNRXV2N1atXY/HixTC0t5QNREREvuTOqvwD630XmLa1mTPUqGlqVA59h0Uq63d8B5Ay2vpcKwG8r0k9pvWnlflJDe19VqMslgqBzxrQGtbX1yMuLs7yvKysDLm5uTAard34+fn5qKmpwcmTJ1Xfo6mpCQ0NDYovIiKiDsl2KL9yC/BKDvDdEfXyb+QB78vyig5VGXrXMnC89fjsQe1y+9dZjz/7vX3QXP13oPWq9Xl4gIfy//xz4McLsvuHVjoltzU1Wo+bG7XL6UTAAtNvvvkGr7zyCgoLCy3namtrkZCg3ItWel5bW6v6PitWrIDJZLJ89enD1fBERNRB2Q7lv3c/8P3XwDsaC4pqyoHDG63PC/7T9Xul3G49/rFOu9zH/249Lv2N/fX9rwOl1/OFGsIDN8dUPox9bLv1uLeOtxz1hchO1uMQmGPqdmC6dOlSGAwGh18HDhxQvKampgYFBQWYNm0a5s+fr7hmO1wvLXzSGsZ/5plnUF9fb/k6ffq0ux+BiIiofdAayr943LXXR3d342ayhcnbFrvxOhUHN5gfo2ICt9OS/D5bH7Yej1kSmPsHS0Km9Tiik3Y5nXA7dC4qKsKMGTMclklJSbEc19TUIC8vD6NGjcIbb7yhKJeYmGjXM1pXZ/5fmG1PqsRoNCqG/omIiDosKTC9eBz4cKH7r9eaJ+rMD+qjmm6T72Hvby0/qZ8P5VRQrjAYzN/nlitA/7HBro1Tbgem8fHxiI+Pd6ns2bNnkZeXh+zsbGzYsAFhNv8ARo0ahWeffRbNzc2IijLv/FBSUoKkpCRFcEtEREQqpKH8qr/6/15fl9qfa6jx7j2jYrx7vTuuXlY/r5VYvz1ZWGmefuEsH60O+G2OaU1NDcaMGYM+ffpg1apVOH/+PGpraxU9pPfeey+MRiPmzZuHyspKbN26FcuXL+eKfCIiIlcEcuFOXJr1OGu2eV7r6sH25QxhQMtV+/NqvMmt6ishMO/SazE9gJ4qbaVDfgtMS0pKcOzYMXzyySdITk5Gr169LF8Sk8mE0tJSnDlzBjk5OXj00UexePFiLF7s5dwVIiKijiCQgWnqHdbjQxuVq73lRBvwUgLQ6sKOSs0/+KZu3ugIgWkI8VtrzJs3D/PmzXNabujQodi9e7e/qkFERNR+OUtObwi37g3vrYwpyt2knCWmr/7IN/f1txBIOt+R6D/TKhEREakLj3J83VdBKWDfO9tqM1zf91bl878WKZ/foDKULE9BFSwdYY5pCGFgSkREFKoCuXgIAAZPth7bBqYzNimfN9Urn89U2ZM+Y4pv6uWKm+5TP9/eV+WHGAamREREoSoqgOmWACDrenCXMNQ+/ZKz1E/yxVOW10T7pl6umPQ74MZ77c+3952fQgwDUyIiolDlbI5pdByQ+7Tv7mfZ114ArU02dXEwJD7+RfXzgQxMw8KA259Unut3W+DuTy5hYEpERBSqzh5wfL3vKCDvWd/dT74Fqm1eUEer27XmwgYywT4AxA9QPo+5IbD3J6cYmBIREYWqcCc7IUq9mGq9pp4EZdKw97VmoPlH5TWH+cc1rgWyx1QS1cV63NYa+PuTQwxMiYiIQtVwlTmTclIgOeYZ67nxLwF3/wF42INUjdL7tbX6JqiLCEJg2ibLVOAs5RUFHANTIiKiUBXby/F1aXhd3puZPAK4aQ7QNcn9+8mH8q+pJND/5Zvqr+vWR/18ZCf36+CtVtmircypgb8/OcTAlIiIKFRFOBvKl837fPhTYNp/A31v8fx+lh7TFmVvo5RGKmMKMOVV+9cNzFd/v2Antx82Pbj3Jzvch4uIiChUOZzXCWVg2muY+csblh7TVmDbQlk9ZAGmsavyNckjzCvi9SIqFmi+vp2qs+8fBZyOflKIiIjIa7fJAkZf7wMvpYtqs5mbGd3Nety5h/KabaAqd0O6b+rljgdLgPhBwC/+GPh7k1PsMSUiIgplw2cBJ3YDSVlAUwOQPQ/47GXztaZG395L6jFtuaI8P/Y31uPOccprjrZFDQ9CGJKQARTtD/x9ySUMTImIiELZPa8BQliHpevPWq9V/AX4l3W+u5fWLkkx8dZj29ykmf/iu/tTu8ehfCIiolAnnyvp6+F7ObX3tt1NKSpG+Xz4bOtx/grf14naFQamRERE7Yk/A1O1HtNBE5TPbZPmyxc+jXoUSBjq+3pRu8HAlIiIqD1xtGe9t9S2FrU9J0+ab7sQCuBKeHKIgSkREVF7Iu/V7J3t4/d2ITCV95CqbXtqYOhB2vjTQURE1J7Ic4r6Oh2TWm+n1oIowLwoy+49GHqQNv50EBERtSfyHsyxz/v/fm0O0kGBgSm5h+miiIiI2pOwMOCpE0BbK9Clp//vF93d/tyQqcCRLcpk/xLOMSUHGJgSERG1N7ZJ7n1p0RFg5wog5Q4gNgHoojKPdOo6IO85IH6A/TX2mJIDDEyJiIjIdaZkYMqrjsuER6gHpQADU3KIPx1EREQUQBzKJ20MTImIiChwRFuwa0A6xsCUiIiIAuem+8yPfUYGtx6kS5xjSkRERIEz/F5zftWeg4NdE9IhBqZEREQUOAYDkOzjHamo3eBQPhERERHpAgNTIiIiItIFBqZEREREpAsMTImIiIhIFxiYEhEREZEuMDAlIiIiIl1gYEpEREREusDAlIiIiIh0gYEpEREREekCA1MiIiIi0gUGpkRERESkCwxMiYiIiEgXGJgSERERkS4wMCUiIiIiXWBgSkRERES6wMCUiIiIiHSBgSkRERER6UJEsCvgLSEEAKChoSHINSEiIiIiNVKcJsVtWkI+MG1sbAQA9OnTJ8g1ISIiIiJHGhsbYTKZNK8bhLPQVefa2tpQU1OD2NhYGAwGv9+voaEBffr0wenTp9G1a1e/3498j20Y+tiGoY3tF/rYhqEv0G0ohEBjYyOSkpIQFqY9kzTke0zDwsKQnJwc8Pt27dqV/xhDHNsw9LENQxvbL/SxDUNfINvQUU+phIufiIiIiEgXGJgSERERkS6EL126dGmwKxFqwsPDMWbMGEREhPxMiA6LbRj62Iahje0X+tiGoU+PbRjyi5+IiIiIqH3gUD4RERER6QIDUyIiIiLSBQamRERERKQLDEyJiIiISBcYmBIRERGRLjAwddNrr72G1NRUdOrUCdnZ2fj000+DXaUOZ8WKFRgxYgRiY2PRs2dP3HPPPfjqq68UZZqamvD4448jPj4eMTExuPvuu3HmzBlFmVOnTmHy5MmIiYlBfHw8nnjiCTQ3NyvK7Nq1C9nZ2ejUqRPS0tKwdu1av3++jmjFihUwGAxYuHCh5RzbUP/Onj2L2bNno0ePHujcuTOGDx+OgwcPWq4LIbB06VIkJSUhOjoaY8aMwZEjRxTvcenSJcyZMwcmkwkmkwlz5szB5cuXFWUqKiqQm5uL6Oho9O7dG8uWLQMTynintbUVzz//PFJTUxEdHY20tDQsW7YMbW1tljJsP33ZvXs3Jk+ejKSkJBgMBrz//vuK64Fsr+LiYmRkZMBoNCIjIwNbt2713QcV5LLNmzeLyMhIsW7dOlFVVSUWLFggYmJixLfffhvsqnUo+fn5YsOGDaKyslIcPnxYTJw4UfTt21f88MMPljKFhYWid+/eorS0VJSXl4u8vDxx4403itbWViGEEK2trSIzM1Pk5eWJ8vJyUVpaKpKSkkRRUZHlPY4fPy46d+4sFixYIKqqqsS6detEZGSkeO+99wL+mduz/fv3i5SUFDFs2DCxYMECy3m2ob5dvHhR9OvXT8ybN0/s27dPnDhxQmzfvl0cO3bMUmblypUiNjZWFBcXi4qKCjF9+nTRq1cv0dDQYClTUFAgMjMzxd69e8XevXtFZmammDRpkuV6fX29SEhIEDNmzBAVFRWiuLhYxMbGilWrVgX087Y3L774oujRo4fYtm2bOHHihHj33XdFly5dxMsvv2wpw/bTl7/97W/iueeeE8XFxQKA2Lp1q+J6oNpr7969Ijw8XCxfvlx8+eWXYvny5SIiIkL84x//8MnnZGDqhptvvlkUFhYqzqWnp4slS5YEqUYkhBB1dXUCgNi1a5cQQojLly+LyMhIsXnzZkuZs2fPirCwMPHRRx8JIcz/wMPCwsTZs2ctZd5++21hNBpFfX29EEKIp556SqSnpyvu9fDDD4uRI0f6+yN1GI2NjWLgwIGitLRU5ObmWgJTtqH+Pf3002L06NGa19va2kRiYqJYuXKl5dzVq1eFyWQSa9euFUIIUVVVJQAo/qCVlZUJAOLo0aNCCCFee+01YTKZxNWrVy1lVqxYIZKSkkRbW5uvP1aHMXHiRPHAAw8ozk2dOlXMnj1bCMH20zvbwDSQ7fXLX/5SFBQUKOqTn58vZsyY4ZPPxqF8FzU3N+PgwYMYP3684vz48eOxd+/eINWKAKC+vh4AEBcXBwA4ePAgWlpaFG2VlJSEzMxMS1uVlZUhMzMTSUlJljL5+floamqyDEWWlZXZtXd+fj4OHDiAlpYWv36mjuKxxx7DxIkTceeddyrOsw3174MPPkBOTg6mTZuGnj17IisrC+vWrbNcP3HiBGpraxXff6PRiNzcXEUbmkwm3HLLLZYyI0eOhMlkUpTJzc2F0Wi0lMnPz0dNTQ1Onjzp50/Zfo0ePRoff/wxqqurAQCff/459uzZgwkTJgBg+4WaQLaX1u9VX8VCDExddOHCBVy7dg0JCQmK8wkJCaitrQ1SrUgIgcWLF2P06NHIzMwEANTW1iIqKgrdu3dXlJW3VW1trV1bdu/eHVFRUQ7LJCQkoLW1FRcuXPDXR+owNm/ejPLycqxYscLuGttQ/44fP441a9Zg4MCB+Pvf/47CwkI88cQTePPNNwHA0gaOfmfW1taiZ8+edu/ds2dPp20ovwe57+mnn8bMmTORnp6OyMhIZGVlYeHChZg5cyYAtl+oCWR7aZXxVXvqZ3PUEGEwGBTPhRB25yhwioqK8MUXX2DPnj1Oy9q2lVq7OSsjrk8AZ5t75/Tp01iwYAFKSkrQqVMnl1/HNtSPtrY25OTkYPny5QCArKwsHDlyBGvWrMF9991nKefsdybbMDjeeecdbNy4EW+99RaGDBmCw4cPY+HChUhKSsLcuXMt5dh+oSVQ7eXPWIg9pi6Kj49HeHi43f8I6urq7P7nQIHx+OOP44MPPsCOHTuQnJxsOZ+YmIjm5mZcunRJUV7eVomJiXZteenSJbS0tDgsU1dXh4iICPTo0cMfH6nDOHjwIOrq6pCdnY2IiAhERERg165d+P3vf4+IiAgkJCSwDXWuV69eyMjIUJwbPHgwTp06BcD8vQfse8Vs2/C7776ze+/z5887bUPAvneIXPfrX/8aS5YswYwZMzB06FDMmTMHixYtsoxgsP1CSyDbS6uMr9qTgamLoqKikJ2djdLSUsX50tJS3HrrrUGqVcckhEBRURG2bNmCTz75BKmpqYrr2dnZiIyMVLTVuXPnUFlZaWmrUaNGobKyEufOnbOUKSkpgdFoRHZ2tqWMbXuXlJQgJycHkZGR/vp4HcK4ceNQUVGBw4cPW75ycnIwa9YsyzHbUN9uu+02uzRt1dXV6NevHwAgNTUViYmJiu9/c3Mzdu3apWjD+vp67N+/31Jm3759qK+vV5TZvXu3Ig1YSUkJkpKSkJKS4q+P1+5duXIFYWHKECA8PNySLortF1oC2V5av1d9Fgv5ZAlVByGli1q/fr2oqqoSCxcuFDExMeLkyZPBrlqH8sgjjwiTySR27twpzp07Z/m6cuWKpUxhYaFITk4W27dvF+Xl5WLs2LGqqYbGjRsnysvLxfbt20VycrJqqqFFixaJqqoqsX79eqYa8iP5qnwh2IZ6t3//fhERESFeeukl8fXXX4tNmzaJzp07i40bN1rKrFy5UphMJrFlyxZRUVEhZs6cqZq+ZtiwYaKsrEyUlZWJoUOHKtLXXL58WSQkJIiZM2eKiooKsWXLFtG1a1emG/LS3LlzRe/evS3porZs2SLi4+PFU089ZSnD9tOXxsZGcejQIXHo0CEBQKxevVocOnTIkrIyUO312WefifDwcLFy5Urx5ZdfipUrVzJdVDC9+uqrol+/fiIqKkrcdNNNlhRFFDgAVL82bNhgKfPTTz+JoqIiERcXJ6Kjo8WkSZPEqVOnFO/z7bffiokTJ4ro6GgRFxcnioqKFCkyhBBi586dIisrS0RFRYmUlBSxZs2aQHzEDsk2MGUb6t+HH34oMjMzhdFoFOnp6eKNN95QXG9raxMvvPCCSExMFEajUdxxxx2ioqJCUeb7778Xs2bNErGxsSI2NlbMmjVLXLp0SVHmiy++ELfffrswGo0iMTFRLF26lKmGvNTQ0CAWLFgg+vbtKzp16iTS0tLEc889J5qamixl2H76smPHDtW/fXPnzhVCBLa93n33XTFo0CARGRkp0tPTRXFxsc8+p0EIbr9ARERERMHHOaZEREREpAsMTImIiIhIFxiYEhEREZEuMDAlIiIiIl1gYEpEREREusDAlIiIiIh0gYEpEREREekCA1MiIiIi0gUGpkRERESkCwxMiYiIiEgXGJgSERERkS78D5N4zjHRSbfbAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(noise_kasdin)\n",
"plt.plot(noise_könig)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-7.063589134021401, -8.59282872953266)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"noise_könig[0], noise_könig[-1]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1.624345363663236, 97.72656699104974)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"noise_kasdin[0], noise_kasdin[-1]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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