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@ld86
Created November 18, 2020 22:21
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{
"cells": [
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"import pymc3 as pm\n",
"import arviz as az"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [],
"source": [
"a = []\n",
"b = []"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [],
"source": [
"for i in range(10):\n",
" a.append(10)\n",
" a.append(12)\n",
" b.append(9)\n",
" b.append(11)"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (4 chains in 4 jobs)\n",
"NUTS: [sigma_b, sigma_a, mu_b, mu_a]\n"
]
},
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" /* gets rid of default border in Firefox and Opera. */\n",
" border: none;\n",
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
" background-size: auto;\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
" </style>\n",
" <progress value='24000' class='' max='24000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [24000/24000 00:04<00:00 Sampling 4 chains, 0 divergences]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 4 chains for 2_000 tune and 4_000 draw iterations (8_000 + 16_000 draws total) took 5 seconds.\n"
]
}
],
"source": [
"with pm.Model() as model:\n",
" mu_a = pm.Uniform(\"mu_a\", 0, 100)\n",
" mu_b = pm.Uniform(\"mu_b\", 0, 100)\n",
" \n",
" sigma_a = pm.Uniform(\"sigma_a\", 0.0001, 10)\n",
" sigma_b = pm.Uniform(\"sigma_b\", 0.0001, 10)\n",
" \n",
" obs_a = pm.Normal(\"obs_a\", mu=mu_a, sigma=sigma_a, observed=a)\n",
" obs_b = pm.Normal(\"obs_b\", mu=mu_b, sigma=sigma_b, observed=b)\n",
" diff = pm.Deterministic(\"diff\", (mu_a - mu_b)/mu_a)\n",
" \n",
" idata = pm.sample(4000, tune=2000, return_inferencedata=True)"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_posterior(idata, var_names=['diff'], hdi_prob=0.95);"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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rG///r//6r8bxy5Ytk+TpFeVyuZrN9+qrr+qRRx5ptq6///3vKU0DAAB80sNP/I9ePeRUXfoaXXHFP7q8XdYezzzzjMLCwnTPPfeoqqpKs2fP1ksvvaTg4ODGac7WLrvhhhtUUVGhX/3qV3rsscc0evRovffee/rDoRCt3JOr788bpsDAQH388cf6n//5HzmdTl144YVavXq1Zs6c2S3rBgAAAHQ1wzTNcz1+zgfRdUzT1PQn1mhMSpT+etNkq8Nptbd3ZumHL+/U87dM1ry0BKvDAQB/15VXkGYfD3Sjv647pl+sPKCP75ndrJRKT/bntUf1y1Xp2nT/PCVHh1gdDuBrunIfDwAALPDlq2TCJxzIKVdOaY0WjvKvZPWlY5OUEBmk5zecsDoUAAAAn2Capl7bnqmJ/aN7TZJdkuaP9LRjVx84bXEkAAAAQNcj0e6jPjmUJ0maMzzO4kjaJsBu003TBmrDkQKl55ZZHQ4AAIDldp8q1aHTFbrugn5Wh9KthsSFaVBsmD46kGd1KAAAAECXI9Huo9YezNfIpEjFRwaff2If8/Up/RUcYNML9GoHAADQa9szFeSw6fLxSVaH0q0Mw9CCkfHacrRQFbXO888AAAAA+DES7T6ovKZe2zOKNWeEf/VmbxATFqhrJqXqzZ1ZKqiotTocAAAAy9TUu/TOzmxdMiZRkcEBVofT7RaMTFCdy631h/KtDgUAAADoUiTafdDGI4Vyuk3N9rOyMU3dOmOQ6pxu/WvLSatDAQAAsMxH+0+rrMbZ68rGNLhgQIyiQgL0EXXaAQAA0MORaPdBaw/lKSLIoQsGxFgdSrsNjQ/X7OFx+uenGapzuq0OBwAAwBKvbT+llOgQTR/S1+pQLOGw2zQvLV7/Sc+Ty21aHQ4AAADQZUi0+xjTNLX2YL5mDI1VgN2/X55vzRio/PJardiTbXUoAAAA3S6ntFrrD+frq5NSZLMZVodjmQUjE1RcVa/PTxZbHQoAAADQZfw7k9sDHc6rUHZpjWb7aX32pmYNi9OQuDA9v+GETJMeTAAAoHd54/Msmab01QtSrQ7FUrOGxyrAbujj/ZSPAQAAQM9Fot3HfHIwT5L8uj57A5vN0LdmDNKerFJtz6AHEwAA6D1M09Rr2zI1ZVAfDegbZnU4looIDtDUwX2p0w4AAIAejUS7j9lwpFBD48OVHB1idSid4ppJKYoMduj5jcetDgUAAKDbbM8o1onCKl3Xy3uzN1gwMkHH8it1LL/C6lAAAACALkGi3YfUOd3aerxIM3rQxbJCAx264aL+en9vrk4VV1kdDgAAQLd4bdsphQbadenYJKtD8QnzR8ZLktak51kcCQAAANA1SLT7kN2nSlRd79K0HpRol6Sbpg2UYRj6x+YMq0MBAADoclV1Tr23O1uXjU1SWJDD6nB8QmpMqIYnhJNoBwAAQI9Fot2HbDpaKMOQLhrUsxLtKdEhWjw6QS9vzVRNvcvqcAAAALrUqj25qqxz6brJ/awOxafMS0vQZ8eLVFZTb3UoAAAAQKcj0e5DNh8t1MjESMWEBVodSqf7xkUDVFpdrw/25VodCgAAQJdavv2UBvQN1YUDY6wOxafMS4uX021qw+ECq0MBAAAAOh2Jdh9RU+/S9pPFPa5sTINpg/uqX58QvbI10+pQAAAAukxWSbW2HC/UNRNTZRiG1eH4lEn9oxUVEqDVBygfAwAAgJ6HRLuP+Pxkseqcbk3voYl2m83Q1y7op01HC3WykIuiAgCAnumtHVkyTenqiSlWh+JzHHabZg+P0ycH8+R2m1aHAwAAAHQqEu0+YsvRQtkM6cJBfawOpctcOzlVNkN6bTu92gEAQM9jmqbe+PyUpgzso/59Q60OxyfNHxmvwso67TpVYnUoAAAAQKci0e4jNh0t1NjUaEUGB1gdSpdJigrRjKGxemtnlkyTXkwAAKBn2ZNVqqP5lbp6Er3ZWzJ7eJxshvSfdMrHAAAAoGch0e4Dquqc2nWqRNMG98yyMU19ZXyyMouqtTOzxOpQAAAAOtUbn2cp0GHTpWOTrA7FZ0WHBuqCATFaTaIdAAAAPQyJdh/weUaJ6l2mpg7uuWVjGiwek6hAh03v7Mq2OhQAAIBOU+9y651d2Vo4KkFRIT33DMXOMDctXvuyy5RbWmN1KAAAAECnIdHuA7ZlFMkwpEkDYqwOpctFBgdo7og4vbc7Ry4uggUAAHqItQfzVVRZp2u4COp5zU9LkCT95yC92gEAANBzkGj3AdszijUiIaJH12dv6ivjU5RfXqtPjxdaHQoAAECneGPHKfUNC9Ss4XFWh+LzhieEKyU6RGsoHwMAAIAehES7xZwutz7PKNaFA3t+2ZgG80fGKyzQrncpHwMAAHqA0up6fbw/T1eMT1aAneb1+RiGoXlp8dpwuEA19S6rwwEAAAA6BUcCFkvPLVdlnUuTB/b8sjENggPsWjQ6USv35KrO6bY6HAAAgA75YF+u6lxuXUXZmFablxav6nqXPj1eZHUoAAAAQKcg0W6x7RnFkqQLekF99qauGJ+k0up6bTxaYHUoAAAAHfLurmz17xOq8alRVofiN6YN6avgAJvWHDhtdSgAAABApyDRbrFtGcVKjAxWSnSI1aF0qxlDYxUe5NCH+3KtDgUAAKDdCitqtelooS4blyTDMKwOx28EB9g1Y0is1hzMk2maVocDAAAAdBiJdottP1GkCwbG9LoDsyCHXXNGxOmj/aflcnNwBQAA/NP7+3Llcpu6Ylyy1aH4nXkj45VZVK0jeRVWhwIAAAB0GIl2C2WVVCu7tEYX9rKyMQ0WjU5UQUWddpwstjoUAACAdnlvV44Gx4VpZFKE1aH4nbkj4iVJa9LzLI4EAAAA6DgS7RbadsJz8afJA/tYHIk15o6IU6Ddpg8oHwMAAPxQXlmNthwv1OXjknvd2YmdITk6RCOTIrWaRDsAAAB6ABLtFtqeUazQQLvSEntnD6iI4ABNH9pXH+4/TW1OAADgd1buyZFpSleMS7I6FL81Ly1O2zOKVVpVb3UoAAAAQIeQaLfQ5yeLNaFftBz23vsyLBqVqIzCKh08XW51KAAAAG3y3u4cpSVGaFhC7+w00RnmpSXI5Ta19nC+1aEAAAAAHdJ7M7wWq6l3KT2nXBP7R1sdiqUWjkqQYUgf7D1tdSgAAACtll1SrW0Zxbqc3uwdMqFftPqEBWrNAdqCAAAA8G8k2i2yL7tMTrep8anRVodiqbiIIF3QP4Y67QAAwK+s2J0jSbp8XLLFkfg3u83QnOFx+uRQvlxuSgkCAADAf5Fot8iuzBJJnl48vd2i0Qnan1OmzKIqq0MBAABolfd2Z2tMSqQGxoZZHYrfm5sWr5Kqeu04WWx1KAAAAEC7kWi3yK5TJUqKClZ8ZLDVoVhu0ahESdKH+zllGAAA+L6ThVXadapUV9CbvVPMGh4nu83QmvQ8q0MBAAAA2o1Eu0V2ZZb0+rIxDQbGhmlEQgTlYwAAgF94d3e2JOky6rN3iqiQAE0eEEOiHQAAAH6NRLsFSqrqdKKwSuMpG9No8egEbTtRpMKKWqtDAQAAOKf3dudoYv9opcaEWh1KjzF/ZLzSc8uVVVJtdSgAAABAu5Bot8CuU6WSpPH9oiyOxHcsGp0otymtPkBPJgAA4LuO5lfoQE4ZF0HtZPPS4iWJXu0AAADwWyTaLbArs0SGIY1NIdHeYHRypFKiQygfAwAAfNrK3TmSpMvGUjamMw2JC1f/PqH6D4l2AAAA+CkS7RbYlVmiIXHhiggOsDoUn2EYhhaNTtD6IwWqrHVaHQ4AAMBZrdqbq0n9o5UYxQXtO5NhGJqXFq+NRwpUXeeyOhwAAACgzUi0dzPTNLXrFBdCPZvFoxNV53Rr7aF8q0MBAAD4kozCSu3PKdOSMfRm7wrz0uJV63Rr87ECq0MBAAAA2oxEezfLKqlWQUWdJlCf/UsmD4hRTGgA5WMAAIBPWrXX00a5ZEyixZH0TBcN7qPQQDvX7AEAAIBfItHezXZlei6EOo4e7V/isNu0YGSC1qTnqc7ptjocAACAZlbtzdXYlCj16xNqdSg9UpDDrouHxuo/6XkyTdPqcAAAAIA2IdHezfZml8phM5SWFGF1KD5p8ehEldc4teVYodWhAAAANMoqqdauzBJ6s3ex+SPjlV1ao/TccqtDAQAAANqERHs325tVquEJEQpy2K0OxSddPCxWoYF2yscAAACf8r63bMwSEu1dau6IeEnSmnTKxwAAAMC/kGjvRqZpan92mcakRFodis8KDrBr9vA4fbT/tNxuThkGAAC+4f29OUpLjNDguHCrQ+nR4iODNTYlikQ7AAAA/A6J9m6UW1ajwso6jU7mQqjnsnh0ovLKa7XzVInVoQAAACivrEbbMoopG9NN5qbFa8fJYhVV1lkdCgAAANBqJNq70d6sMkmiR/t5zB0RL4fN0If7TlsdCgAAgD7YlyvTlC4dm2R1KL3C/LR4uU1p7SF6tQMAAMB/kGjvRnuzSmUY0sgkEu3nEhUaoGlD+urDfbkyTcrHAAAAa63am6vBcWEaFk/ZmO4wNiVKseFBWpOeb3UoAAAAQKuRaO9G+7JLNSQuXKGBDqtD8XmLRifqWEGljuRVWB0KAADoxQoravXp8SItGZMowzCsDqdXsNkMzR0Rp7UH8+R0ua0OBwAAAGgVEu3daF92mcYk05u9NRaOTJAkfbif8jEAAMA6H+0/LZfb1JIxlI3pTvPS4lVW49T2jGKrQwEAAABahUR7NymoqFVOaY3GpHAh1NZIjArWhH7RWrU3x+pQAABAL7Zqb6769QnRaDpLdKuLh8UqwG5oTTp12gEAAOAfSLR3k33ZnguhjuIgrdUuH5ekvVllOppP+RgAAND9SqvqtelogZaMSaJsTDeLCA7QlEF9SLQDAADAb5Bo7yZ7s0olSaOT6dHeWleMT5ZhSO/szLY6FAAA0At9fOC06l2mloxJtDqUXmleWoIO51XoZGGV1aEAAAAA50WivZvszy5T/z6higoJsDoUv5EQGazpQ/rq7Z1ZMk3T6nAAAEAvs2pvrpKigjU+NdrqUHqlBSPjJUkf7s+1OBIAAADg/Ei0d5O92aUak0LZmLa6cnyKThRWafepUqtDAQAAvUhFrVPrDudr8ehE2WyUjbHCgL5hGp4Qro/2n7Y6FAAAAOC8SLR3g9LqemUUVlE2ph0Wj0lUoN2mtykfAwAAutGa9DzVOd26dGyS1aH0agtHJWjriSIVV9ZZHQoAAABwTiTau8F+74VQR3Mh1DaLCgnQ3LQ4vbs7Wy435WMAAED3eH9vjmLDg3TBgBirQ+nVFo5KlNsUF0UFAACAzyPR3g32ZXMh1I64ckKK8strtelogdWhAACAXqC6zqX/pOdr8egE2SkbY6lxKVGKjwiifAwAAAB8Hon2brAvu0yJkcGKiwiyOhS/NC8tXtGhAXp5a6bVoQAAgF5g7aE8Vde7KBvjA2w2QwtGJWjd4XzV1LusDgcAAABoEYn2brAvu5SyMR0QHGDXtZNS9cHeXOWX11odDgAA6OFW7c1VTGiALhrUx+pQIE+d9qo6lzYfLbQ6FAAAAKBFJNq7WE29S0fzK0m0d9ANF/WX023q1W30agcAAF2n1unS6gN5WjgqQQ47TWVfMH1IX4UF2vUh5WMAAADgwzh66GKHTpfL5TY1ikR7hwyJC9e0wX310mcnuSgqAADoMhsOF6ii1qkllI3xGUEOu2aPiNPHB07LTTsQAAAAPopEexfbn10mSRqVxIVQO+obU/vrVHG11h3OtzoUAADQQ63am6uIYIdmDIm1OhQ0sXBUgvLLa7XrVInVoQAAAABnRaK9i+3PKVNEkEOpMSFWh+L3Fo1KVGx4oP61JcPqUAAAQA9U73Lro/2ntWBkggIdNJN9ydwR8bLbDH1E+RgAAAD4KI4gutj+7DKlJUXIZjOsDsXvBTpsuv7CflqdnqcTBZVWhwMAAHqYzUcLVVpdryVjEq0OBWeIDg3UlIF9SLQDAADAZ5Fo70Jut6kDOWUalUR99s5y87SBCrDZ9OyGY1aHAgAAephVe3MVGmjXrOFxVoeCs1g4KkGH8yrocAEAAACfRKK9C50sqlJlnYsLoXai+MhgXT0xRa9tO6XCilqrwwEAAD2Ey23qw325mpsWr+AAu9Xh4CwWjkqQJHq1AwAAwCeRaO9C+3O4EGpX+M6sQap1uvUParUDAIBO8tnxIhVW1unSMUlWh4IW9OsTqrTECBLtAAAA8Ekk2rvQ/uwy2W2GhiWEWx1KjzI0PkILRsbr75szVF3nsjocAADQA7y/N0dBDpvmjKBsjC9bNCpB2zKKVFRZZ3UoAAAAQDMk2rvQ/pwyDY0L5/TjLnD7rCEqqqzT8u2ZVocCAAD8nNtt6v19uZozIk5hQQ6rw8E5LByVKLcprT5Ar3YAAAD4FhLtXWh/dhn12bvIhQNjNLF/tP66/rhcbtPqcAAAgB/bkVms02W1WkLZGJ83JiVSSVHBlI8BAACAzyHR3kUKK2qVW1ajUUkk2ruCYRj67qwhOllUpVV7c6wOBwAA+LFVe3IVYDc0b2S81aHgPAzD0IKRCVp/uEA19ZQQBAAAgO8g0d5FDuSUSxI92rvQolEJGhwbpj+tPSrTpFc7AABoO9M0tWpvrmYOi1NkcIDV4aAVFo9OVHW9S2sP5VsdCgAAANCIRHsX2Z9TKkkaSY/2LmOzGbp91mDtzSrTpqOFVocDAAD80J6sUmWVVOuSMYlWh4JWumhwH0WHBuj9vblWhwIAAAA0ItHeRfZnlykpKlh9wgKtDqVHu3pSiuIjgvSntUetDgUAAPihVXtzZbcZWjgywepQ0EoBdpsWjkzQxwdOq9ZJ+RgAAAD4BhLtXWR/Thn12btBkMOuWy8epPWHC7Q3q9TqcAAAgB8xTVOr9uRo+pC+iqFzhF9ZMjZR5TVObTrCWY0AAADwDSTau0BNvUtH8yupz95Nvn5Rf0UEOfTndcesDgUAAPiR9NxynSisomyMH5oxNFYRQQ6t2ptjdSgAAACAJBLtXeLQ6XK53CY92rtJZHCAvj61v1bsztbJwiqrwwEAAH5i1d5cGYa0aBSJdn8T5LBr3sh4fbT/tJwut9XhAAAAACTau8L+7DJJokd7N7p1xiA5bDb9dT292gEAQOu8vzdHUwb2UVxEkNWhoB2WjElScVW9Pj1eZHUoAAAAAIn2rrA/p0zhQQ71iwm1OpReIyEyWFdOSNby7adUWl1vdTgAAMDHHcmr0KHTFVpC2Ri/NXt4nEIC7JSPAQAAgE8g0d4FDuSUaWRShGw2w+pQepWbpw9Udb1Lr28/ZXUoAADAx73vTc5eMibJ4kjQXiGBds1Ni9MH+07L5TatDgcAAAC9HIn2TuZ2mzqQU059dguMSYnSxP7R+ueWDLk52AIAAOewam+uJvWPVmJUsNWhoAMuGZOk/PJabc8otjoUAAAA9HIk2jtZZnGVKmqd1Ge3yE3TBuhYQaU2Hi2wOhQAAOCjThZWaV92mZbQm93vzUuLV6DDppV7KB8DAAAAa5Fo72SNF0JNirI4kt7p0rFJ6hsWqL9tyrA6FAAA4KNWNZaNoT67vwsPcmjuiDit3JND+RgAAABYikR7J9ufUya7zdCwhHCrQ+mVghx2XX9hP61JP63MoiqrwwEAAD5o1d5cjU2JUr8+XLi+J7hifLLyymv12fEiq0MBAABAL0aivZPtzy7T0LhwBQfYrQ6l1/rG1AEyJb22LdPqUAAAgI/JLqnWzswSerP3IPPS4hUaaNe7u7OtDgUAAAC9GIn2TrY/p4z67BZLiQ7RzGFxWr79FKcQAwCAZt7fmytJWkKivccIDXRowcgErdqTo3qX2+pwAAAA0EuRaO9ERZV1yimt0agkEu1Wu+6CVGWX1mgTF0UFAABNrNyTo7TECA2Oo8xfT3LF+GQVV9Vr4xHafgAAALAGifZOdCDHeyFUerRbbuGoBEWFBOi1baesDgUAAPiI3NIabcso1mVjk6wOBZ1s1vBYRQQ79O6uHKtDAQAAQC9For0T7c/2JNpH0qPdcsEBdl05IVnv78tVaVW91eEAAAAfsHKPJwl76TgS7T1NkMOuS0Yn6sN9uaqpd1kdDgAAAHohEu2daH9OmRIjg9UnLNDqUCDpugv6qc7p1jtcGAsAAEha4S0bM4SyMT3SFeOTVV7r1NpD+VaHAgAAgF6IRHsn2ptVStkYHzImJVJpiRF6bVum1aEAAACL5ZRWa3tGsS6nN3uPNX1IX/UJC9S7u+hkAQAAgO5Hor2TVNU5dTS/QmNSoqwOBV6GYei6yf20+1SpDuaWWx0OAACw0Mo9uZKkS6nP3mM57DZdOjZRqw/kqarOaXU4AAAA6GVItHeSAzllcpvSWBLtPuWqCckKsBv0agcAoJdbsTtbo5IiNZiyMT3aFeOSVV3v0scH8qwOBQAAAL0MifZOsjfLcyHUMSmUjvElfcODND8tQW/uyFKd0211OAAAwALZJdX6/GSJLqNsTI934cA+SogM0js7KR8DAACA7kWivZPsySpVbHigEiODrQ4FZ7hucqoKK+v0n4P0bAIAoDdauSdHknQZZWN6PJvN0BXjkrX2UJ5KquqsDgcAAAC9CIn2TrI3q1Sjk6NkGIbVoeAMs4fHKS4iSK9tO2V1KAAAwAIr9uRodHKkBsaGWR0KusFVE1NU7zK1wvsDCwAAANAdSLR3gpp6lw7nVVCf3Uc57DZdMzFF/zmYp/zyWqvDAQAA3SizqEo7KBvTq4xOjtSw+HC9tSPL6lAAAADQi5Bo7wTpueVyuU3qs/uw6yanyuU2OeACAKCXeWeXp1b3V8YnWxwJuothGLpqYoq2nihWZlGV1eEAAACglyDR3gn2ZJVKksbQo91nDY2P0MT+0Xpte6ZM07Q6HAAA0A1M09Qbn5/SlIF9lBoTanU46EZXTvD8sPL2TjpZAAAAoHuQaO8Ee0+VKjo0QCnRIVaHgnO47oJ+OnS6QrtPlVodCgAA6Ab7sst0NL9SV01MsToUdLPUmFBNGdRHb+7IopMFAAAAugWJ9k6wN7tUY1O4EKqvu3x8koIDbHpte6bVoQAAgG7w1o4sBdgNXTo20epQYIGrJ6boaH6l9maVWR0KAAAAegES7R1U63Tp0OlyjU6mbIyviwwO0CWjE/XOzmzV1LusDgcAAHQhl9vU27uyNXdEvKJDA60OBxa4dEySAu02vck1egAAANANSLR30KHcCtW7TI2lPrtfuG5yP5XVOPXh/tNWhwIAALrQpqMFyi+v1dWUjem1okIDNC8tXu/sypbT5bY6HAAAAPRwJNo76IsLoUZaHAlaY9rgvkqJDtFr2ygfAwBAT/bWjmxFBDs0Ny3e6lBgoasmpqigolYbjxZaHQoAAAB6OBLtHbQ3u1SRwQ717xNqdShoBZvN0FcvSNWGIwXKLKqyOhwAANAFqutcen9vji4dk6TgALvV4cBCc9PiFBns0FuUjwEAAEAXI9HeQXuzSjWGC6H6laUX9pMh6V+fnrQ6FAAA0AU+OnBalXUuXTkx2epQYLEgh12XjUvW+3tzVVnrtDocAAAA9GAk2jugzulWek65xlCf3a8kR4do4agEvbL1JBdFBQCgB3ptW6aSo4J10aC+VocCH3D1xBRV17v0EdfoAQAAQBci0d4Bh06Xq87l1uhk6rP7m5unDVRxVb3e251jdSgAAKATZZVUa8ORAl07uZ/sNs44hDR5QIxSokP0JuVjAAAA0IVItHfA7lOeC6FO6BdtbSBos2lD+mpofLj+sfmE1aEAAIBO9Pr2UzJN6boLUq0OBT7CZjN01cRkrT+cr/zyWqvDAQAAQA9For0DdmWWKDo0gAuh+iHDMHTTtAHadapUOzNLrA4HAAB0Arfb1KvbMjVjaF/1o32GJq6akCK3Kb27K9vqUAAAANBDkWjvgF2nSjQuNZoLofqpqyemKCzQrhc2Hrc6FAAA0Am2HCvUqeJqfW1yP6tDgY8ZlhChMSmRemsn5WMAAADQNUi0t1NVnVOHTpdrQioXQvVXEcEBumFKf723O0eZRVVWhwMAADrolW2Zigx2aPHoRKtDgQ+6akKKdp8q1ZG8CqtDAQAAQA9Eor2d9maVyW1K46nP7tdumzlYdsPQn9cdtToUAADQAaVV9Vq1N1dXTkhRcIDd6nDgg74yPlk2Q3qbXu0AAADoAiTa22n3qRJJ0rjUaEvjQMckRgXrqxek6tVtp5RXVmN1OAAAoJ3e2Z2tOqdb119I2RicXXxksGYMjdWbO7JkmqbV4QAAAKCHIdHeTjszS5QSHaK4iCCrQ0EH3TF7sJwut57bQK12AAD81atbMzUyKVKjkyOtDgU+7OqJKTpVXK3tGcVWhwIAAIAehkR7O+06VaLx/ajP3hMM6Bumy8cl659bMlRSVWd1OAAAoI32ZpVqT1aprp+cykXqcU6LRycqJMCuN3dQPgYAAACdi0R7OxRV1imzqJqyMT3I9+YOVVW9S39ed8zqUAAAQBv969OTCg6w6epJqVaHAh8XFuTQotEJem93juqcbqvDAQAAQA9Cor0ddnnrs48n0d5jjEiM0FUTUvTCxuM6Ta12AAD8RkWtU+/szNLl45IVFRJgdTjwA1dNTFFpdb0+OZhndSgAAADoQUi0t8PuzFIZhjQ2ldIxPcndC4bL5Tb1zOrDVocCAABa6Z2d2aqsc+nrF/W3OhT4iZlDY9U3LFBv7aR8DAAAADoPifZ22HWqRMPiwxUe5LA6FHSi/n1D9fUp/fXy1kwdL6i0OhwAANAK//4sQ2mJEZrYL9rqUOAnHHabrhifrI8P5Km0ut7qcAAAANBDkGhvI9M0tSuzxKfrs7/11lsaN26cgoKCNGjQIP32t7895/R33323DMPQj3/842bj09PTddFFFykqKkpLly5VRUVFs8fXrVunlJSUL40/mxdffFGGYZx12mXLlik2Nrbx/xMnTsgwjMYhLCxMQ4YM0Te+8Q2tX7/+S/Pfcsstmjx58nljaI3vzxumQLtN//PhwU5ZHgAA6Dq7T5Vob1aZvn5Rf5+/CCrtM99y9cQU1Tnden9vjtWhAAAAoIcg0d5GWSXVKqys03gf7TW1ceNGXXPNNZoyZYreffdd3Xrrrbrvvvv01FNPnXX6/fv367nnnlNkZOSXHrvllls0dOhQvfrqq9q/f7/++7//u/Ext9utH/7wh/rlL3+p8PDwLlmXJ598Ups3b9bKlSv14IMPqrCwULNmzdIjjzzSJc8nSXERQbpt5iC9tztHuzJLuux5AABAx730meciqFdNTLE6lHOifeZ7xqVGaXBsmN7cQfkYAAAAdA4S7W20K7NUkjTBR3u0P/roo5oxY4aeffZZLVq0SA8++KB+8IMf6NFHH1VdXd2Xpr/rrrv0wx/+UDExMc3GV1RU6NNPP9VTTz2lxYsX64EHHtBHH33U+Pjzzz+vgIAAffOb3+yydRkxYoSmTp2q2bNn65ZbbtH777+vBx98UMuWLdMnn3zSZc97+6zB6hMWqCdWpcs0zS57HgAA0H7lNfV6e2e2rhiXrMhg374IKu0z32MYhq6amKItx4qUVVJtdTgAAADoAUi0t9GuUyUKtNs0IjHC6lDOaufOnVq4cGGzcYsWLVJxcbE2b97cbPzy5cuVnp6u+++//0vLaTjoCwkJkSSFhoY2jisrK9PPf/5zPf30091+mvbDDz+s5ORk/elPf+qy54gIDtAP5w/T5mOF+uRQfpc9DwAAaL+3d2aryk8ugkr7zDddNcFzJsQ7O7MtjgQAAAA9AYn2NtpxslijUyIV6PDNTVdTU6PAwMBm4xr+P3DgQOO46upq3XvvvXriiScUFhb2peX06dNHAwcO1O9+9zsVFRXpL3/5S2Odzccee0wLFizQtGnT2hyfy+WS0+lsNrjd7lbPb7fbNW/ePG3ZsqXNz90WN0zprwF9Q/XEynS53PRqBwDAl5imqX9/elIjkyI1wUfL+TVF+8w39e8bqgsGxOjNHac4ixEAAAAd5rA6AH9S53Rr96lSfXPqAKtDadHQoUO1devWZuM+++wzSVJRUVHjuF/+8pdKSkrSjTfe2OKy/vCHP+i6667Tz372Mw0bNky///3vdeTIET377LPas2dPu+KLjo4+6/i+ffu2ehmpqak6ffp0u56/tQIdNv2/xSP0/X/v0Bufn9J1k/t16fMBAIDW232qVPtzyvTYlaN9/iKoEu0zX3b1xBT9/K292pddpjEpUVaHAwAAAD/mm92yfdT+nDLVOt2aNCDm/BNb5I477tBbb72lv/71ryouLtYHH3yg3/72t5Ikm83zch8/flxPPvnkeU8tXrJkifLy8nTw4EEdOHBA/fv31z333KO7775bqamp+v3vf6/+/furf//++sMf/tCq+NatW6etW7c2G77zne+0aR27q8fRZWOTND41Sr/96JBq6l3d8pwAAOD8/v3pSYUE2HWlj18EtQHtM991+bgkBdpteuNzLooKAACAjqFHext8nlEsSZrU33cT7bfeeqt27dqlO++8U7fffrtCQ0P1q1/9SnfddZcSExMlSffff7+WLFmiESNGqKSkRJLkdrtVW1urkpISRUVFNR7ghYaGavjw4ZKkjz76SLt27dIrr7yiXbt26cEHH9SmTZskSdOmTdPFF1+scePGnTO+iRMnKjw8vNm49957r03rmJWVpYSEhDbN0x6GYeinl47U0r9s0QsbT+jOOUO6/DkBAMC5ldfU651d2bpifJLPXwS1Ae0z3xUdGqj5I+P1zq4s/fTSNAXY6YcEAACA9qEl2QafnyxWclSwEqOCrQ6lRXa7Xf/3f/+n/Px87d69W6dPn9bUqVMlqfH24MGDeuONNxQTE9M4ZGZm6v/+7/8UExOjrKwv9+hxuVy6++679etf/1ohISH65JNPNG/ePKWlpSktLU3z58/X2rVru3z9nE6n1qxZ0676o+0xdXBfzU+L1x8+OaLiyrpueU4AANCyt3Zmq7repa9f5Lul/M5E+8y3XTMpVQUVdVp/ON/qUAAAAODH6NHeBjtOlmiiD5eNaarhAE3y1PKcPn260tLSJEnPPvusKioqmk2/dOlSzZ49W3feeafi4uK+tLw//vGPiomJ0fXXX984rqqqqvF+ZWVlt5wy/Oijjyo7O1t33HFHlz9Xg/uWpOmSp9bp//5zRA9ePqrbnhcAADTXcBHUUUmRGp/qf/W0aZ/5ptnD49QnLFCvb8/SvDT/65UPAAAA30CivZVyS2uUVVKtb188yOpQzmnLli3asGGDJkyYoLKyMr300kv64IMPtGHDhsZpJk+e/KX5goOD1a9fP82ZM+dLjxUVFemRRx7RBx980Dhu1qxZ+slPfqLnn39epmlqzZo1euKJJzp1XQ4ePKjY2FjV1dXp+PHjevnll/X+++9r2bJlmj17dqc+17kMT4jQtRek6u+bT+iW6QPVr09otz03AAD4wvaMYh3IKdMvrh7jFxdBbUD7zLcFOmz6yvhk/fuzkyqtqldUqH+UJAIAAIBvIdHeSp+f9NZn9/Ee7QEBAXrllVe0bNky2Ww2zZw5Uxs3btTYsWPbvcxly5bpK1/5iiZNmtQ4buLEifr1r3+tBx54QJL05JNPavz48R2Ov6kf//jHkjwHmUlJSZo2bZrWrVunmTNndurztMbdC4frnV3ZevLDg3p66cRuf34AACD9Y0uGIoIcumqCf1wEtQHtM9/31UmpenHTCa3Yk6OvX9Tf6nAAAADgh4zznE7a9eea+onH39uvf2zJ0J5lixXooLR9b/TEqnT9ed1RffijWRqWEGF1OAB6h67ssss+Hn4lv7xW059YrW9cNEDLvjLa6nDQw5imqUX/u05RIQFafud0q8NB7+A/p+UAAIBWIWPcSp+fLNbYlCiS7L3Y7bMGKyTArmfWHLE6FAAAep1Xtp5UvcvUN6f5z0VQ4T8Mw9A1k1K1LaNYGYWVVocDAAAAP0TWuBVqnS7tzSrz+bIx6Fp9wgJ18/SBem93tg6fLrc6HAAAeg2ny61/fXpSFw+N1ZC4cKvDQQ911cRkGYb0xudZVocCAAAAP0SivRX2ZpWqzuXWpP7RVocCi31nJr3aAQDobh8fyFNOaQ292dGlkqJCNGNIrN7YcUrnKa8JAAAAfAmJ9lb47LjnQqgXDuxjcSSwGr3aAQDofv/YckLJUcGanxZvdSjo4a6ZlKLMomptyyi2OhQAAAD4GRLtrfDZ8UINiQtT3/Agq0OBD/jOzMEKpVc7AADd4khehTYeKdQ3pg6Qw07TFV1r8ehEhQba9fr2U1aHAgAAAD/D0cp5uNymtmUUa8qgvlaHAh/RtFf7kTx6tQMA0JWe33hcgQ6brr+wn9WhoBcIC3JoyZgkrdido5p6l9XhAAAAwI+QaD+P9Nwyldc4ddEgysbgC7fNHKwgh01/WnvM6lAAAOixCitq9fr2U/rqpBTFcmYhuslXJ6WovNapj/aftjoUAAAA+BES7eex9XiRJOlCEu1ook9YoJZe2F9v7chSdkm11eEAANAj/WNLhmqdbn374sFWh4JeZOrgvkqOCtYbn1M+BgAAAK1Hov08PjtRpJToEKVEh1gdCnzMbTMHyZT07PrjVocCAECPU1Pv0t83Z2h+WryGxodbHQ56EZvN0FUTU7T2UL5Ol9VYHQ4AAAD8BIn2czBNU58dL9YUerPjLFJjQnXl+GS9vPWkiivrrA4HAIAe5Y3Ps1RUWafbZtKbHd3vusn95Dal5VwUFQAAAK1Eov0cjhdUqqCilkQ7WvTd2UNUVefpcQcAADqHy23q2fXHNDYlSlMH0w5D9xsUG6Ypg/rotW2ZMk3T6nAAAADgB0i0n8NnDfXZB3KAh7MbkRih+WnxenHTcVXVOa0OBwCAHuG93dk6VlCpO+cMkWEYVoeDXur6yf10orBKn3qPCQAAAIBzIdF+Dp+dKFLfsEANiQuzOhT4sDvnDFFxVb1e3ZppdSgAAPg9l9vUM6sPa0RChC4ZnWh1OOjFLh2bpIggB208AAAAtAqJ9haYpqktRwt10eA+9KTCOU0e2EeTB8Tor+uPq97ltjocAAD82oo9OTqaX6m75g+VzUYbDNYJCbTrignJWrk3R2U19VaHAwAAAB9Hor0FJwqrlF1ao+lDYq0OBX7gzjlDlFVSrXd3ZVsdCgAAfsvtNvW71Yc1LD5cl45JsjocQNdP7qeaerfe2UkbDwAAAOdGor0FG44USJIuHkqiHec3d0S8hieE6y/rjnHBLAAA2mnFnhwdzqvQXfOH0ZsdPmFcapRGJETo1W2UjwEAAMC5kWhvwaYjBUqJDtGAvqFWhwI/YLMZ+s7MwUrPLdfaQ/lWhwMAgN+pc7r1Px8e1PCEcF02lt7s8A2GYehrF/bT7lOlOpBTZnU4AAAA8GEk2s/C5Ta16WihZgztS312tNqVE1KUEBmkv6w7ZnUoAAD4nZc+O6kThVW6f0ma7PRmhw+5emKKAh02vfTZSatDAQAAgA8j0X4W+7PLVFpdrxmUjUEbBDps+vbFg7TpaKH2nCq1OhwAAPxGeU29nll9WFMH99HcEfFWhwM00ycsUJePTdIbn2epotZpdTgAAADwUSTaz6KhPjsXQkVb3TClvyKCHPrzuqNWhwIAgN/4y7pjKqys00+XjORsQvikb04boIpap978/JTVoQAAAMBHkWg/i41HCpSWGKG4iCCrQ4GfiQgO0Nen9tfKPTk6WVhldTgAAPi87JJqPbv+uC4fl6Tx/aKtDgc4qwn9ojUmJVL/2JLBhe8BAABwViTaz1BT79LWE0X0Zke73TpjkOw2Q89toFY7AADn84uVB+Q2Td13SZrVoQAtMgxDN00dqEOnK/Tp8SKrwwEAAIAPItF+hs8zilXrdOviYX2tDgV+KiEyWFdNSNEr2zJVVFlndTgAAPisTUcKtGJ3jv5rzlD16xNqdTjAOV0xPllRIQH6x5YMq0MBAACADyLRfoZPDuUr0G7TRYNItKP9bp81WDX1bv1jMwdiAACcTb3LrYff2ad+fUL03dmDrQ4HOK+QQLu+NjlVH+zNVXZJtdXhAAAAwMeQaD/D6gOnddHgPgoLclgdCvzYsIQIzU+L1982n1BNvcvqcAAA8Dl/23RCh/Mq9NDloxUcYLc6HKBVbp4+UKakFzedsDoUAAAA+BgS7U2cLKzS0fxKzUuLtzoU9AC3zxqsoso6vbYt0+pQAADwKXllNXrq48OaMyJOC0bS7oL/SI0J1WVjk/TvT0+qrKbe6nAAAADgQ0i0N7Em/bQkkWhHp5gyqI8m9o/Wn9YeU62TXu0AADR4fMUB1TndeviK0TIMw+pwgDb5zszBqqh16pXP6EwBAACAL5Bob2LNwXwNjgvTgL5hVoeCHsAwDN29YLiySqr16lYOxAAAkKS1h/L1zq5s3TlniAbF0uaC/xmbGqVpg/vq+Y3HVe9yWx0OAAAAfASJdq/KWqe2HC3UvBH0ZkfnmTksVhcOjNHv1hyhVjsAoNerrnPp52/t0eDYMN05Z4jV4QDt9p1Zg5RTWqP3dmdbHQoAAAB8BIl2r41HClTncmsedULRiQzD0L2LRiivvFYvbDxhdTgAAFjq6dWHlVlUrV9cPZYLoMKvzRker+EJ4fr9f47K5TatDgcAAAA+gES7138O5ikiyKELB/axOhT0MFMH99WCkQn6vzWHdbqsxupwAACwRHpumZ5df0zXXZCqaUP6Wh0O0CE2m6EfzB+mI3kVWrknx+pwAAAA4ANItEtyu02tSc/TzOGxCrCzSdD5Hrx8pOpdpp5YlW51KAAAdDu329RP39ijyJAA/ezSkVaHA3SKS8ckaVh8uJ5ZfVhuerUDAAD0emSVJX1+sliny2q1eHSi1aGghxrQN0zfmTVIb+7I0tpD+VaHAwBAt/rXpxnacbJEP79spGLCAq0OB+gUNpuhu+YP0+G8Cq3cS692AACA3o5Eu6QVe3IU6LBp/sgEq0NBD3bXvGEaFh+u//faLhVX1lkdDgAA3eJ0WY1+/f5BzRjaV1dPTLE6HKBTXTY2SUPp1Q4AAACRaJfbbWrVnlzNHh6n8CCH1eGgBwsOsOuppRNUXFWnn7y+m4MxAECPZ5qmHn57n2pdbv3iqrEyDMPqkIBOZffWaj90ukLv7s62OhwAAABYqNcn2ndkFiu3rEaXjU2yOhT0AqOTo/SzS0fqo/2n9YuVB6wOBwCALrVyT67e35erHy0YpoGxYVaHA3SJy8cmaVRSpJ788KDqnG6rwwEAAIBFen2ifcXuXG/ZmHirQ0Evccv0gfrWjIF6bsNxPbP6sEyTnu0AgJ6nsKJWD729V+NSo3T7zMFWhwN0GZvN0H1L0pRZVK1/f5phdTgAAACwSK9OtLvdplbtzdGsYXGKCA6wOhz0EoZh6OeXjdI1E1P0248O6ZF398tFGRkAQA/zyLv7VVZTr99cO14Oe69ucqIXmDUsVtOH9NXv1hxRRa3T6nAAAABggV591LMjs0Q5pTW6bFyi1aGgl7HbDD153Xh9++JBenHTCd347Kc6XVZjdVgAAHSKD/fl6p1d2bpr3jCNSIywOhygyxmGofsuSVNhZZ3+su6Y1eEAAADAAr060f7urmwF2m2aPzLB6lDQC9lshn5+2Uj9+qvjtDOzREueXq816aetDgsAgA4prarXA2/t1cikSN05Z4jV4QDdZny/aF0+Lkl/WXdUp4qrrA4HAAAA3azXJtrrnG69vTNLC0cnKJKyMbCIYRj62oX99O5dMxQfEaRbX9ym+5bvVnlNvdWhAQDQLo++t19FlXX6zbXjFEDJGPQyP710pCTpv7noPQAAQK/Ta49+1qTnqbiqXtdekGp1KICGxkfore/N0B2zh+i17Zla/L/rtOFwgdVhAQDQJv85mKfXPz+lO2cP0ZiUKKvDAbpdSnSIvjdnqFbuydXGI7TlAAAAepNem2hfvv2U4iOCNHNorNWhAJKk4AC77l+SpuV3TldwoF03Pvepfv7WHtXUu6wODQCA8yqrqdfP3tijYfHhumv+UKvDASzznVmD1a9PiB55d5/qXW6rwwEAAEA36ZWJ9oKKWn1yME9XT0yRg1Oa4WMm9Y/Ryh/M1LcvHqR/bjmpa/+0SZlF1PkEAPi2X65M1+myGv3muvEKctitDgewTHCAXQ9eNkqHTlfoH5szrA4HAAAA3aRXZpnf3pktp9vUVykbAx8VHGDXg5eP0rM3TVZGYZWu+L8NWn843+qwAAA4q41HCvTSZyf1nZmDNaFftNXhAJZbOCpBs4bH6X8/OqS8shqrwwEAAEA36JWJ9uXbT2l8apSGJ0RYHQpwTgtGJejd71+shIhgfeuFrXpzxymrQwIAoJnKWqfue323BseG6e6Fw60OB/AJhmFo2RWjVOty6+dv7ZVpmlaHBAAAgC7W6xLtOzNLdCCnjIugwm8MjA3Ta3dO04UD++juV3bpL+uOWh0SAACN/nvlAWWVVOtX145TcAAlY4AGg+PCdc/C4fpw/2mt2JNjdTgAAADoYr0u0f73zScUFmjXVRNTrA4FaLXI4AC9eOuFumxckv57Zbp+9X46PaMAAJb7z8E8/etTT8mYCwf2sTocwOfcdvEgjUuN0sNv71NRZZ3V4QAAAKAL9apEe2FFrd7blaOvXpCqiOAAq8MB2iTIYdfvlk7UNy7qrz9+clTL3tknt5tkOwDAGiVVdbpv+W4NT/D02gXwZQ67Tb++dpzKaur1ICVkAAAAerRuT7Tv379f8+fPV2hoqJKTk/XQQw/J5XKdc55ly5bJMIyzDr/85S8bp2tpmqCgIEnSK9syVedy65tTB3TpOgJdxWYzNDssR5Gbf69f3DRfdrtNDz38cKvmffHFF8/6+fjTn/7UxVEDALpCe9pUklRaWqpvfetbiomJUVRUlL7xjW+osLCw2TQPP/ywxo4dq8jISEVERGjy5Ml65ZVXmk3zX79/R3ufu087f7VUUeGh6t+/v2677Tbl5FAiA2gqLTFS9ywcoRV7cnTPb57V2LFjFRwcrFGjRn3pc3U2R44c0Xe/+12NGzdOdrtdc+bMOet0AwcO/FI7LzExsZPXBgAAAC1xdOeTFRcXa8GCBRo1apTefvttHT16VPfee6/cbrcef/zxFue77bbbdMkllzQb99Zbb+lXv/qVlixZ0jhu8+bNX5r3iiuu0IwZM+Rym/rXlpOaPqSvhnERVPixDz74QK6CDF0wbaa2rnlP7+/N1YMutwLsrfvdbM2aNQoJCWn8f/DgwV0VKgCgi7S3TSVJX/va13To0CE9++yzstlsuu+++3TVVVdp/fr1jdOUlZXplltu0ahRo2S327V8+XItXbpUdrtd1157rd7Zla01u07ogjEjdOfSe5WcnKzjx4/rkUce0fbt27V161Y5HN3azAR82ndnDdbbH6zWU/ffqa9/6zY988wzWrlypW644QbFxMRo0aJFLc67b98+rVy5UlOnTlV9ff05n+frX/+67rrrrsb/AwMDO20dAAAAcG7GeU5f7NRzG3/5y1/q17/+tTIyMhQZGSlJ+vWvf61ly5YpNze3cVxrXHbZZTp27JgOHDjQ4jRbt27VlClT9PLLLytmzGzd/o/t+tONk3TJmKQOrwtgFbfbLZvNk1QPj+4jx5hLdO137tb/fX3SOS9C9+KLL+pb3/qWysvLFR4e3l3hAugYowuXTf0CP9beNtXmzZs1ffp0rV27VrNmzZIkffbZZ7rooov00UcfacGCBS0+54wZM9S3b1/95R+vavFT6zQoNkzL75gmR5Mfej/66CMtWrRI27dv16RJkzpxjQH/N2/BQm07XqAL7vxfvfP9GYoIDtCll16qsrIybdiwocX5mrb9rr32WhUUFOiTTz750nQDBw7UtddeqyeffLKrVgGdqyv38QAAwALdWjpm1apVWrx4cbODv6VLl6q6ulpr165t9XIKCwv10Ucf6YYbbjjndC+99JLCwsJ0xRVX6LkNx5UcFawFIxPaHT/gCxoOtCQp2GHT3LR4fXwgT9/+21ZV1TktjAwA0F3a26ZatWqVEhISGpPskjRlyhQNGjRIq1atOudz9u3bV7W1dbr3tZ2qdbr026+Nb5Zkb5hGkurquOgj0FRtba02rFurO7/1DZ0sqtL3/r1D9S63li5dqs2bN6u0tLTFeZu2/QAAAOC7urXVlp6errS0tGbj+vfvr9DQUKWnp7d6Oa+//rrq6+vPmWg3TVOvvvqqrrzySh3Ir9Wnx4v07ZmDv3RACPi78anRevK68dp8tFA3PfeZymrOfUrxkCFD5HA4NGLECP35z3/upigBAJ2pvW2qs80nSSNHjjzrfE6nUyUlJfrXv/6lDz/8UKnTv6KNRwq17IrRGhznOTvK7Xarrq5OBw8e1P33368LL7xQU6ZM6eAaAj3L0aNHVV9fryUXT9Z/Xz1G6w7l6+dv7lVaWprcbrcOHTrUKc/z3HPPKTAwUFFRUbr22muVkZHRKcsFAADA+XV7jfbo6OgvjY+JiVFxcXGrl/Pyyy9r0qRJGjZsWIvTrF+/XllZWVq6dKn+tPaookMDtPTCfu0JG/B5116QqtBAu3748g4t/fMW/fHGSRrQN6zZNElJSXrsscc0ZcoUuVwuvfzyy7rjjjtUVVWlu+++26LIAQDt0d421bnmO3bsWLNxW7Zs0bRp0yRJDodDP3roCS2vGqBrJqXo+iZtqksvvVQffPCBJOmCCy7QypUr6YELnKHhcxkdHa05E/orq7haz6w5ooDKoGaPd8SVV16pqVOnKjU1VQcOHNAjjzyimTNnas+ePYqKiurw8gEAAHBufneVqpycHK1du1a/+tWvzjndSy+9pJiYGA2aMF0f/X6Lfjh/mMKC/G51gVa7dGySQgPt+sFLO3TZMxv0+FVjdNXElMbHFy9erMWLFzf+v2TJEtXU1Ojxxx/XD3/4Q5IiAIBmxo4dq61bt6qkpESvvvG2nlx2n8bc8DM9/shDMowvSgv/7ne/U1FRkQ4fPqzHH39cS5Ys0caNGxUcHGxh9IBvu3vhcGWV1OiF1Z912jKffvrpxvszZ87U9OnTNWHCBL3wwgv60Y9+1GnPAwAAgLPr1sxaTEzMWesPFhcXKyYmplXLePXVV2Wapq6//voWp3E6nXr99df11a9+Vc9vzlRIgF03Tx/Y3rABvzFnRLxW/WiW0hIj9KNXduq//rVd2SXVLU5/7bXXqqioSCdOnOi+IAEAHdbeNlVb5gsLC9PkyZM1beYcZY74mqLHzVfhJy8oNLB5x4Vhw4bpoosu0o033qgPPvhAO3bs0L///e92rhnQMzV8vho+f4Zh6NfXjtOcAaGSpBXpZTLNzr1G9ZgxYzRixAh9/vnnnbpcAAAAnF23JtrT0tK+VP8zMzNTVVVVZ60XejYvv/yyLr74YvXr13IZmNWrVys/P1/zL7ta7+zM1tIp/dQnLLBDsQP+IiU6RC/fPlU/XjRcqw/kaf7/rNXv/3NEtU7Xl6Zt6JHYtGciAMD3tbdNdbb5pJZrt9e73LrrpR06mFummy6fo5ysU3I6W77w9oABA9SnT58vlaEBershQ4YoICCg2efPbjO0KMUlw2bTm8fd+tmbe1Xvcnfq8xqGQTsPAACgm3Rron3JkiX64IMPVF5e3jjulVdeUUhIiGbPnn3e+U+cOKEtW7ac8yKokqdsTFJSkrbVJslmM3T7rMEdjh3wJw67Td+fN0wf3zNbs4bH6jcfHNSi/12n9/fmNusttXz5csXGxmrAgAEWRgsAaKv2tqmWLFmi3NxcbdiwoXHctm3bdOzYMS1ZsqTZtPUut37w0g6tSc/TY1eNUd6R3UpNTZXD0XIpvoMHD6qwsFCDBg3qwNoBPU9QUJDmzp2r1157rdn41157VdOnTdP3Fo/TS5+d1M3Pf6aSqrpOec69e/cqPT1dF1xwQacsDwAAAOfWrUXL77jjDj3zzDO65pprdN999+nYsWNatmyZ7rnnHkVGRjZON3ToUM2ePVvPPfdcs/lffvllORwOXXfddS0+R21trd566y1dff039MbObN0yfZCSokK6bJ2A7paRkaGtW7dKkurq6rR//34tX75cYWFhjUmSjIwMDRkyRM8//7z+fNNNWncoX9dee61uWDFYY8aM1dcmJ+uz1Sv0yiuv6JlnnqE+OwD4mfa2qaZNm6ZFixbppptu0pNPPimbzab77rtPF198sRYsWCDJsw+55ZZvyTVomg5Wh+lr4+P08Z+W6+WXX9Yf//jHxmX/+Mc/lsPh0EUXXaTo6GgdOHBAv/71rzVkyBAtXbq0ezcI4AcefPBBzZkzRz/60Y901VVXaeXKlVq5cqXef/99LVqUpmHx4br3+Y8Vc8cM/eK3v9fPfniHJKmqqkorV66UJGVlZamsrEzLly+X5LkYcWhoqFasWKF//vOfuvzyy5WcnKz09HQ9/vjj6t+/v2655RarVhkAAKB3MU3zXEOn27dvnzl37lwzODjYTExMNH/+85+bTqez2TQDBgwwb7755i/NO378eHPx4sXnXP6bb75pSjK/uuxFc+SDq8z88prODB+w3AsvvGBK+tIwYMCAxmmOHz9uSjJfeOGFxnH33Xe/mdh/sGkEBJmGI9CMHzTSfPqPz3b/CgBoi/PtpzsywM+1t01VXFxs3nLLLWZUVJQZERFh3nDDDWZ+fn7j44dP5pqpFy42HVEJpiMw0ExISDDnzp1rrlixotlyXnrpJXP69OlmTEyMGRISYo4YMcK85557mi0LQHNvvvmmOXr0aDMwMNAcMWKE+dJLLzV7/J31O0xJZsLld5t/33TcdLvdje26sw3Hjx83TdM0d+3aZc6bN8+MjY01HQ6HmZCQYN58881mVlaWBWuJVurKfTwDAwMDAwODBYNhmue86E7nXpGnm+zPLtOlz6zX9+cO1Y8Xj7A6HMCnlNfU64+fHNWzG47LkPSdmYN1x5whCg/q1hNcALROVxbW9ct9PLrW6gOn9f+W71ZVnVNPXT9Rl4xJtDokoNcpqqzTPa/u1CcH8zU/LV6PXz2GM3R7JornAwDQw/TIRPutL27VthNFWn/fPEWFBFgdDuCTThVX6TcfHNTbO7MVGx6kexcN19cm95PdRpsf8CEk2tEtMgor9YsVB/Th/tMamRSp390wQUPjI6wOC+i13G5Tz288ric/PKgAm00/vXSkll7YTzbaaT0JLyYAAD1Mj0u0rz2Ur5uf/0w/XZKm784eYnU4gM/bmVmix9/br20ZxRqREKHvzBqsJWMSFUYPd8AXkGhHlzqaX6G/bTqhlz/LlMNu6Htzh+rbFw9ScIDd6tAAyPMj2P2v79HmY4WaMqiPHrp8lMakRFkdFjoHiXYAAHqYHpVor3e5dclT6+Rym/rg7lkKcnCQCLSGaZp6f2+ufvPhQR3Lr1RooF2XjEnUFeOTNWNIrAIdXCwVsAiJdnQ6t9vU2kP5emHTCa07lK8Au6GrJ6bo3kUjlBAZbHV4AM5gmqZe2ZqpX72frpLqel0zMVX3LBqulGjKyfg5Eu0AAPQwPSrR/uz6Y3p8xQE9e9NkLRiVYHU4gN8xTVPbM4r12rZTWrk3R+U1TkWFBGjRqARdNi5JM4bGKsBO0h3oRiTa0WnKauq1fNsp/X3zCZ0orFJ8RJBunDpAN0zpr7iIIKvDA3AepdX1+sN/juiFjSfkNk1dPTFFd84ZosFx4VaHhvYh0Q4AQA/TYxLtmUVVWvS/6zRtSF89d/NkGQbtFqAjap0ubThcoBW7c/TR/tMqr3UqOjRAi0cl6rJxSZo2pC9Jd6DrkWhHhx3JK9ffNmXo9c9PqarOpQsGxOjm6QN1yehEzlgC/FBWSbX+uu6YXvrspOpcbi0Zk6hvXzxYFwyIsTo0tA0HrAAA9DA9ItFumqa++dxn2plZog/vnqVkTqMEOlWt06X1hwq0Yo8n6V5R61RMaIAuH5es6y/sp9HJkfy4BXQNEu1oF7fb1H8O5unFTSe0/nCBAu02XTE+WbdMH6ixqdR3BnqCgopaPbfhuP65JUPlNU5N6BetWy8epCVjEukM4R9oPAMA0MP0iET73zad0MPv7NNjV47WN6cNtDocoEerqXdp3aF8vbs7Rx/uy1Wt062RSZG6fnKqrpyQopiwQKtDBHoSEu1ok8KKWr3++Sn969OTyiisUmJksG6c2l9Lp/RXbDjlYYCeqLLWqdc/P6UXNp7Q8YJKJUUF66ZpA3XDlH6KDqVd5sNItAMA0MP4faJ9z6lSffWPm3TxsFg9e9Nk2Wy0V4DuUlpdr3d2ZevVrZnak1WqQLtNi0Yn6GuT+2nG0FjZ+TwCHUWiHefldpvaeLRAL3+WqQ/356reZerCgZ7yMItH07MV6C0azmR5fuNxbTxSqOAAm746KVXfmjFIQ+Op4+6DaCgDANDD+HWiPb+8Vtf8caOcLlMrfzCTnrSAhfZnl+nVbZl6a2eWSqrqlRwVrEWjEzV/ZLwuGtSXOsBA+5Box1mZpqldp0q1Yne2Vu7JVVZJtWJCA3TNpFQtvbCfhiVEWB0iAAul55bp+Q3H9dbObNU53ZozIk63zhikmcNiKffnO3ghAADoYfw20V5Z69QNf92iQ6fL9fLt0zShX7TVIQGQp577x/vz9OaOU1p/uEC1TrfCgxyaOrivpg7uo4sG9dWo5Eh6uwOtQ6IdjUqq6rT5aKE2HCnQJwfzlVVSrQC7oZnD4nTVxBQtHp2gIIfd6jAB+JCCilr9+9OT+vvmDBVU1GpYfLhuvXiQrp6YouAAvi8sRmMYAIAexi8T7eU19br979v16fFC/fWmyZo/MsHqkACcRXWdSxuPFGh1ep42HS1QRmGVJCkiyKFJA2I0PjVK4/tFa1xqtOIiqB0MnAWJ9l7KNE2dKq7WzswS7cws0dYTRdqTVSrTlPfHyz66ZEySFo5KUFRIgNXhAvBxtU6X3tuVo+c2HNf+nDLFhAboGxcN0DenDVBCZLDV4fVWJNoBAOhh/C7RfrqsRt/+21al55TryevG66qJKR1a3rJly/TII490UnRA53n44Ye1bNkyq8PoVLmlNfr0eKE+PV6k7SeKdTivXG7vt0xyVLDGpUZrXL8ojU6O0uDYMCVHh9DzHb0difZeorS6XrtPlWiXN7G+M7NEBRV1kqQgh03jU6M1Y2isLh7WV+NSo/267jptL/R0vtyGM01Tnx4v0vMbjuujA6dlNwxdNi5JV09M0fQhsZT66140cgEA6GEcVgfQFh/uy9V9r+9WTb1bf71psuamxVsdEoA2SIwK1pUTUnTlBM8PZJW1Tu3LLtPuU56k0u5TpXp/X27j9IEOmwb2DVX/PmHqGxao6LAAxYQGKiTALofdUIDNJhlSrdOt2nqX59bpVq3TpTrv/TqnW/UutwLsNoUG2hUZHKDUmBClxoRqeEK44unFBaCbldXUa392mfZnl2lvdql2ZZboaH5l4+ND4sI0e3i8JvSL0oR+MUpLivDrxDoA32EYhrecX19lFFbqxU0ntHzbKb29M1uRwQ4tGJmg+SMTdNHgPooN52xDAACAtvCLRPuuzBI9+eFBrT9coNHJkXrmhokaEhdudVgAOigsyKEpg/poyqA+jeOKK+t08HS5ThRU6nhBpY4VVCqzqEp7skpUXFmvOpf7vMsNtNsU5LAp0OG5DXDYVOd0q7repfIap1zuLzryJkQGaWxKtMamRGlsaqRGJUUpITKIC4UB6LDqOpdOFFbqWH6ljuZX6EBOmfZll+lkUVXjNHERQRqfGqWrJ6Y0ltKiFAyA7jCgb5gevmK07rskTRuPFGjV3lx9tP+03tiRJUkanhCuKYP6aFxKtEanRGpYfAQ93gEAAM7BJ0vH1DpdOny6QusO52vF7hztyy5TVEiA7po3VN+cNoALfQG9lGmaqqpzqabeJafblNNtyu02FRRgU5DD7kmu222ynaPcjNPlVk5pjTKLqnQgt1x7s0q1+1SJjhVUquHrMCY0QCOTItUvJlRJ0cFKjgpRn7BAhQbZFRboUFiQXUEOu87MxbvdUkWtU5V1Ts9trVPlNU6VVderrKa+yX2nKmqcstmkALsn5ohgh+IighQXEaT4iGAlRQUrOTpECZHBHNT2bpSO8XHlNfXKLKpWZnGVMouqdLKoyvMjYX6lskqqm007oG+oRidHanRylEYlR2p0cqTiIzirBoDvqHe5tTerVFuOFWnLsUJtzyhWRa1Tkqcjw7CEcA2ND9fAvmEaFBumgbFhGtQ3TFGh/EDYDvTqAACgh+n2RPvLn53U9oxiudymXKYpl9uU2zRVW+9WUVWdCivqlFVS3djjdExKpL42uZ+umpiiyGAacAC6RnlNvdJzyxvLOaTnlimrpEYFFbWdsnybIUWGBCgyOEARwQ6FBzlkmlKdy1Pepry2Xnlltap1Nu+xbxhSXHiQkqJDlBIdrKSoECVHhyg5KlgxYYEKD/IsK8x7Gxxgozd+z0Ki3UK1Tpfyy2uVV16rvLJa5ZfXKLu0RieLqnTKm1QvrqpvNk9EkEOD4sI0ODZMg2LDNTguTIPjPAmp0EC/OJEQABq53aZOFFZqn7fU1f7sMh3Lr1R2abWaHkaGBtoVG+7pMBAbHqi4iCBFhwR62yd2hQZ+0VYJCbQp0G5vPPMwsMnQ0Gmil7RlesVKAgDQm3R7on3ZO/v0wb5c2QxDDrshu2HIZjMUaLepT1igYsIC1b9PiEYkRmrqoD7UTwZgqTqnW6fLalRcVafKWpeq6pyq9PaqP5PNMBQWaFdYk8R3ZIhDEcEBCgu0n/eg0TRNVdQ6dbqsVjml1copqVFWSbXnfqn3fkmNqs/y3E0F2D3fqQEOW2OP+QC7oQC75/8Ah02BTf+32xTo8M7T+LhnHofdpoYTBAzv8WDT1Wi86x1pNP+3cR6H3ZDdZshha3pr++J/u9G4fc62X2oYZTbZLTWOa3ys+bZsHNdkXtP0/Ou5NRvnN713zCbLczf5Mdjlllxut+fW9JxJ0XDrdHumu++SNIUEdvoZV36TaN+eUaz/+td2OWy2xtc7wHvfYfO8lxw2z/vOM87zvmuYPsBmU4D3/4b3XoDdpgBbw/0vNkXD69f0tT9znGe6L14fp9uU0+U+6/813rJSFbWes00absu9vTibctgMpcaEqF+fUM8QE6r+fTxDvz4higoJ6C0JIgC9WE29S5lFVTpRWKUTBZU6XVaj/Ipa5ZfXqsB7W1pdL3c79zSBdtuXE/F2m+w2QzbDs4+x2QzZDU/7y3PfkM2mxsfthqdtYbepcb7GeQ1DNsPTXnG6TNW7TbncbtW7vtg3OF2e/cXXL+qvqyamdO4G9GBnAQBAD+OTpWMAAGdnmqZKq+uVVVKt0up6VdQ0lKpxqaLGqZp6l+pdbu9gqs7lVr3T7bl1uVXnNJs87lady1S9s+F+w7TNp2lMROuMBHbjuG7fDJazNzmgb/jBeN3/m6uYsMDOfiq/SbQfyavQs+uPeZIUbndjItvlNhvHNU1gNNxveK863W45ve9ZZ5PpO4PNkBw2W+OPPJ4fAr74oSck0K7wayjQOAAADTZJREFUIEfj2SbhQQ6FBzsUExqo+IggxUd6SjrFRwSpb3iQ7OcoTwUA8DBNUzX17sZyepV1TlXWulRd77lofV2TC9g3nOFX2+Ri9mc+Xlvvlts0G38Id5me53B5f0A1TTU7Y7rhh/LGH8eb/VDu+UHdND2dAQLsX+wTArwJ/QDvj8JLp/TTlRNItAMAgPMj0Q4A6FSNyfgmvY1djb2I3Y29iRtvvUlVt2lKZ/Sab3oEapzRa775dF/ubd90mqbzGoZnes9tw0TNxxmGZ4m2Jr3wv+gFp+7ssew3ifau0NAj3dPb0FNW6YuzJozG19Mz3vjifpNxDm+vRwAAfAw7JwAAehgS7QAA+K5enWgHAKAHI9EOAEAPY7M6AAAAAAAAAAAA/BmJdgAAAAAAAAAAOoBEOwAAAAAAAAAAHUCiHQAAAAAAAACADiDRDgAAAAAAAABAB5BoBwAAAP5/e3cfa1l11nH8+wuttIaXBNFSApVijLUFHSyWQHmZoqSE+sqQUimRSS1aq7a+EhsbZohGNNIWgpakbXRStEK1GgspQosONp0RnDbGFgQxtMRCKY41Ii8z0+Lyj72v7jlz3s899+x9zveTrMzcvdfes55nrXX3nnX23VeSJEmSZuBCuyRJkiRJkiRJM3ChXZIkSZIkSZKkGbjQLkmSJEmSJEnSDFxolyRJkiRJkiRpBimlDNx5zTXX/DVw7MY1Z+6OBx5fdCM2kPEuv1WL2XiXm/Eeau+2bdsunMc/vgHX+FXrz3kwh7Mxf7Mzh7Mxf7Nb5hzO7RovSZIWpJSyMmX79u1l0W0wXuM1ZuM1XuNdhXiXPT5z2P5i/szhoov5M4cWi8VisVhWq/jqGEmSJEmSJEmSZrBqC+3XLLoBG8x4l9+qxWy8y814l8uyx7cRzOFszN/szOFszN/szKEkSeqMoe9olyRJkiRJkiRJw63aE+2SJEmSJEmSJK0rF9olSZIkSZIkSZqBC+2SJEmSJEmSJM3AhXZJkiRJkiRJkmbQ2YX2JG9P8sUk+5J8Nsk5Q+ruSFL6lGcadTYPqPOKjYlosCTnJvl4ksfqNm0d45hTk9yT5Ln6uKuTpKfOliQPJNlf//njcwtiApPGW/fdXyX5SpJnk/xTkrf0qdPK/oWpYj5pQDwX9tQ7r54f+5I8kuRtcw1kTFPEu31AvCXJt9V1xsrJRkvyriT/kOSpJP+e5LYkp4xxXCfn8DTxdn0OTxlzp+cwQJLDk9yYZG+SZ+o5fcIYxw29fifZ2Scvt8wvko0xKu4+9Uf2/aTn7Lr1zuGAa8sT841icSbJX5KXJvlIkgeTPJ9kx4B6rbsOzdN65zDJ1gHXghfNNZAFmTB/Fye5q76u/neSe5P8SJ96KzUGJUlSu3VyoT3JpcANwG8DpwG7gDuSvGzAIe8EXtpTHgE+2qfuq3rqPbyujZ/OEcAXqOJ4blTlJEcBnwS+Cnx/fdyvAb/cqHMmcCvwJ8Cm+s8/S3LGOrd9GhPFC5wFfB64BDgFuAn4QJLL+tRtY//C5DGvuZCD4/mbtR1JXg58gmp+nAZcC9yYZMs6tXkWk8Z7HYfO4XuAnaWUJ3vqDszJgmwG3k81Ts8HvgF8Kskxgw7o+BzezITx0v05vJnJY17T1TkMcD2wBfgJ4BzgKOD2JIcNOmCC6/cfcXBefma9G7+RJr1vGafvp7gX6rR55LD2EAePtVPnEsCCTTFeDgf2Ar8D3DvgnG29Ds3FPHJYe5aee5xSyr71andbTJG/86iuiW+o638C+Mvm4vyqjUFJktQBpZTOFaqb1Q/2bHsYuHbM418LFOCsxrbN9bZjFx3fiLY/DWwdUedngaeAFze2vRt4DEj99a3AJ3uO+xTwp4uOcdJ4Bxz3UeBjXevfCfr4pDqe04fU+V3g4Z5tHwJ2LzrGWfsYOBF4Hrhskpy0oVB9yPA88MND6izTHB4Z74DjujyHx+njTs9h4GjgAPDmxrYTgf8BXj/kuJHXb2An8PuLjnGd8zXRfcs4fT/pObte5pTD7cAXFh1bG/PXU+92YEef7Z24DrU8h1uBpxcdW9vz16h/H/CextcrNQYtFovFYrG0v3TuifYk3wS8GrirZ9ddVE8TjuNK4P5Syq4++/aken3B3UleN0NTF+lM4NOllOaTwncCx1Mt7qzV6c3hnYyfw7Y7CvjPPtuXoX+b/iLJk0k+k+SSnn2D+vj0JC/cmObNzU9R9e/H+uwblpM2OJLqp4n6jc81yzSHx4m3ny7P4Uli7uocfjXwQhrtK6X8G/DPDBiDE16/35TqlTT3J7kuyZHr1vINNuV9y9C+X6d7oc6YRw4b205O8nj9Ootbkpy8Lo1ukTmOl65ch2Y25zn34iSPJvlyktuTnDbj+VpnHfN3JAdfW1dmDEqSpG7o3EI7cCxwGNUrFZq+Chw36uAkRwNvBD7Ys+srVE+RbgEupvpR4ruHvTuwxY6jf37W9g2rMzKHbZfkh4AfAD7Q2LxM/QvVU+C/SjWWLwLuBm5NcnmjzqA+fgHVPOqk+rUUbwFuLqXsb+waJydtcAPwj8DuIXWWaQ6PE+9BlmAOjxNz1+fwcVRP7e/t2T5sDI57/f4I8GbgdcBvUvV5vw/VumKa+5ZRfT/TvVAHzSOHUD1hu5XqFU5X1sfsSvItsze5VeY1XrpyHVoP88rhQ1T3ND9K9RqufcBnknznDOdso5nzl+TngBOAmxubV2kMSpKkDnjBohuwAJdTfcDQvEmjlPIQ1c3umt1JTqJ6L/KnN6x1mkmS11It0ryjlHLf2vZl699Syl7gPY1Ne5IcC1wF/PFiWrVhLqR6RcVBH5Z1ISdJ3gucDZxdSnl+0e2Zt2ni7focHjfmto7XJL8F/MaIanP9SYJSSvMDls8neQS4N8n3lVI+N89/W6ullHJH8+skf0/1O3yuAN67kEZppZRSdtP4UDbJLqoPan8BeMeCmtU69e9W+D3g0lLKo4tujyRJ0iBdfKJ9L9VTdC/p2f4S4Ikxjr+S6r2/Xxuj7r1AF58oeYL++VnbN6zOODlspSRnA3cAV5dSbhrjkK727yC98Qzq429w6FOoXfLTwK5SygNj1G1NHyd5H9XTaueXUh4ZUb3zc3jCeNeO6fQcnibmHm2Yw9cD3z2i3Fe37TAOfbJ+2Bic9vq9pz6uNX09oWniHtX3s94Ldc08cniIUsrTwP10d6wNMq/x0urr0DrbkDlXf0C7B8fg/6lfq3Yz8JOllNt6dq/SGJQkSR3QuYX2UsoB4LPABT27LqD67fUDJXkN8L0c+tqYQTZRva6ga3YD5yR5UWPbBcDjwJcadSbOYVslOZdqgW57KeX6MQ/bRDf7d5BNHBzPoD7eU0r5+kY1aj0lOR54Ax2bw0lu4P8XYB8c45BOz+Ep4u38HJ4m5j42seA5XErZW0p5cER5luo6/PVm+5KcQLUQ33cMznD9PpVqUb8VfT2pKeMe2vez3At10Txy2O+A+nvuK+joWBtkjuOltdeh9bZRcy5JgO/BMQhAkjdSLbJvLaX8eZ8qKzMGJUlSRyz6t7FOU4BLgQPAW6n+U38D1ftuv73e/2Hgw32O+xDwLwPO+YvAj1E9QfIq4FqgABe3IN4jqBZgNgHPAlfXf39Zvf9a4O5G/aOpnuS4BTiF6n3GTwG/0qhzFtVTXb9O9Z/Kd1EtmpzRwXg3A89Q/UjpcY3yrV3o3yljvgK4rB7/30X1rucDwC816ry8zsv1db231nW2dC3exnHvBv4L+OY++0bmZEGx/kE9/87vGZ9HNOoszRyeMt5Oz+EpY+70HK7bdxPwZeAHgdOAv6V65cFhjToPAj/f+HrU9fs76u8Hp1P94t+LqH7B6uea5+1aGSPug+5bxun7UedctjKnHF4HnFfXPQO4vZ7LS5fDSfNXb9tUl78DPl7//ZWN/a28DnUsh9uA1wMn1/v+sM7haxYd76LzB7ypzsU7OfjaesyqjkGLxWKxWCztLwtvwNQNh7dTPdm5n+oJiXMb+3YCO3vqH1nfzF014HxXAQ8DzwFfo3rn70WLjrNu22aqBaXesqPevwP4Us8xp9Y39fuonorZBqSnziVUiyAHqBYyFr5gNU289df96jfrtLZ/p4z5CuABqkWEp6h+zPjyPuc9j2qBaj/wReBti451hjGdOob3DzjnWDlZQKz94ixUT243x3BvvJ2cw9PE2/U5PGXMnZ7DddsOB24E/oPqA7PbgBP75GZ7z7Zh1+8TgXvqc+4H/pVqMeaYecezAfma9L5lZN8PO+cylvXOIdWHmY/X30Mfo/qlu6+cdxwdyt/Q78t1ndZdh7qUQ+B9wKP1+Z4E7gTOXHScbchf/XW//PXmeKXGoMVisVgslnaXlFKQJEmSJEmSJEnT6dw72iVJkiRJkiRJahMX2iVJkiRJkiRJmoEL7ZIkSZIkSZIkzcCFdkmSJEmSJEmSZuBCuyRJkiRJkiRJM3ChXZIkSZIkSZKkGbjQLkmSJEmSJEnSDFxolyRJkiRJkiRpBv8LLM33AvVbjVMAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1490.4x662.4 with 6 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_posterior(idata);"
]
}
],
"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": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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