From 17b2045f123adfb673362c360ec4276c980ca2aa Mon Sep 17 00:00:00 2001 From: ritchie46 Date: Fri, 19 Apr 2019 14:37:14 +0200 Subject: [PATCH] update bayes training --- training_bayesian/1_intro_bayesian.ipynb | 480 ++++++++++++++++++----- 1 file changed, 390 insertions(+), 90 deletions(-) diff --git a/training_bayesian/1_intro_bayesian.ipynb b/training_bayesian/1_intro_bayesian.ipynb index 43aad23..2d678ff 100644 --- a/training_bayesian/1_intro_bayesian.ipynb +++ b/training_bayesian/1_intro_bayesian.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": { "slideshow": { "slide_type": "slide" @@ -43,7 +43,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 3, "metadata": { "slideshow": { "slide_type": "slide" @@ -73,7 +73,7 @@ "" ] }, - "execution_count": 43, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -132,7 +132,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 4, "metadata": { "slideshow": { "slide_type": "slide" @@ -141,7 +141,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -162,10 +162,10 @@ { "data": { "text/plain": [ - "0.4954" + "0.496" ] }, - "execution_count": 14, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -413,7 +413,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 5, "metadata": { "slideshow": { "slide_type": "slide" @@ -430,13 +430,13 @@ " )" ] }, - "execution_count": 43, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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"text/plain": [ "
" ] @@ -478,26 +478,34 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 6, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/miniconda3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n" + ] + }, { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 45, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -528,7 +536,7 @@ } }, "source": [ - "## What dis we just do?\n", + "## What did we just do?\n", "\n", "The gaussian we fitted is actually a model that explains the data we've seen.\n", "\n", @@ -816,7 +824,7 @@ }, { "cell_type": "code", - "execution_count": 147, + "execution_count": 7, "metadata": { "slideshow": { "slide_type": "slide" @@ -831,14 +839,14 @@ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [p]\n", - "Sampling 4 chains: 100%|██████████| 22000/22000 [00:03<00:00, 6271.39draws/s]\n" + "Sampling 4 chains: 100%|██████████| 14000/14000 [00:02<00:00, 5751.58draws/s]\n" ] } ], "source": [ "coin_flips = [1, 1]\n", "with pm.Model():\n", - " p = pm.Uniform('p', 0.001, 0.999)\n", + " p = pm.Uniform('p', 0, 1)\n", " \n", " likelihood = pm.Bernoulli('observed', p=p, observed=coin_flips)\n", " \n", @@ -849,37 +857,28 @@ }, { "cell_type": "code", - "execution_count": 148, + "execution_count": 8, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/miniconda3/lib/python3.7/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", - "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", - " alternative='`bottom`', obj_type='argument')\n" - ] - }, { "data": { "text/plain": [ - "array([[,\n", - " ]],\n", + "array([[,\n", + " ]],\n", " dtype=object)" ] }, - "execution_count": 148, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -896,7 +895,7 @@ }, { "cell_type": "code", - "execution_count": 156, + "execution_count": 9, "metadata": { "slideshow": { "slide_type": "slide" @@ -907,15 +906,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "p: 0.3: 0.08795\n", - "p: 0.5: 0.25275\n", - "p: 0.8: 0.63875\n" + "P(p < 0.3): 0.09008333333333333\n", + "P(p < 0.5): 0.24941666666666668\n", + "P(p < 0.8): 0.6446666666666667\n" ] } ], "source": [ "for p in [.3, .5, .8]:\n", - " print(f'p: {p}:', (trace['p'] < p).sum() / trace['p'].shape[0])" + " print(f'P(p < {p}):', (trace['p'] < p).sum() / trace['p'].shape[0])" ] }, { @@ -934,7 +933,7 @@ }, { "cell_type": "code", - "execution_count": 161, + "execution_count": 10, "metadata": { "slideshow": { "slide_type": "slide" @@ -944,16 +943,16 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 161, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -971,7 +970,7 @@ }, { "cell_type": "code", - "execution_count": 162, + "execution_count": 11, "metadata": { "slideshow": { "slide_type": "slide" @@ -986,8 +985,7 @@ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [p]\n", - "Sampling 4 chains: 100%|██████████| 14000/14000 [00:02<00:00, 6167.84draws/s]\n", - "The acceptance probability does not match the target. It is 0.8795086571448326, but should be close to 0.8. Try to increase the number of tuning steps.\n" + "Sampling 4 chains: 100%|██████████| 14000/14000 [00:03<00:00, 4603.02draws/s]\n" ] } ], @@ -1003,37 +1001,28 @@ }, { "cell_type": "code", - "execution_count": 163, + "execution_count": 12, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/miniconda3/lib/python3.7/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", - "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", - " alternative='`bottom`', obj_type='argument')\n" - ] - }, { "data": { "text/plain": [ - "array([[,\n", - " ]],\n", + "array([[,\n", + " ]],\n", " dtype=object)" ] }, - "execution_count": 163, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1058,7 +1047,7 @@ "source": [ "## Who will be elected?\n", "\n", - "There will be a new referendum about a possible 'Dexit'.\n", + "There will be a new referendum about a possible 'Nexit'.\n", "\n", "People have to vote $1$ for staying and $0$ for leaving.\n", "\n", @@ -1067,17 +1056,17 @@ "\\begin{align}\n", "f(x)= \n", "\\begin{cases}\n", - " 0.2,& \\text{staying } \\\\\n", - " 0.8, & \\text{leaving}\n", + " 0.8,& \\text{staying } \\\\\n", + " 0.2, & \\text{leaving}\n", "\\end{cases}\n", "\\end{align}\n", "\n", - "Meanwhile the first votes are coming in. What is the probability of a 'Dexit' occurring?" + "Meanwhile the first votes are coming in. What is the probability of a 'Nexit' occurring?" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 13, "metadata": { "slideshow": { "slide_type": "slide" @@ -1090,7 +1079,7 @@ "array([1, 1, 1, 1, 1, 1, 1, 0, 0, 1])" ] }, - "execution_count": 3, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -1102,7 +1091,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 14, "metadata": { "slideshow": { "slide_type": "slide" @@ -1112,16 +1101,16 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 3, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1133,13 +1122,15 @@ } ], "source": [ + "# translate Maurice's probabilities to a prior believe\n", + "\n", "x = np.linspace(0, 1)\n", "plt.plot(x, stats.beta(1.3, 3).pdf(x))" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 15, "metadata": { "slideshow": { "slide_type": "slide" @@ -1154,10 +1145,8 @@ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [p]\n", - "Sampling 4 chains: 100%|██████████| 42000/42000 [00:06<00:00, 6487.09draws/s]\n", - "/opt/miniconda3/lib/python3.7/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", - "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", - " alternative='`bottom`', obj_type='argument')\n" + "Sampling 4 chains: 100%|██████████| 42000/42000 [00:07<00:00, 5357.62draws/s]\n", + "The number of effective samples is smaller than 25% for some parameters.\n" ] }, { @@ -1169,7 +1158,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -1187,10 +1176,7 @@ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [p]\n", - "Sampling 4 chains: 100%|██████████| 42000/42000 [00:06<00:00, 6164.67draws/s]\n", - "/opt/miniconda3/lib/python3.7/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", - "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", - " alternative='`bottom`', obj_type='argument')\n" + "Sampling 4 chains: 100%|██████████| 42000/42000 [00:07<00:00, 5601.20draws/s]\n" ] }, { @@ -1202,7 +1188,7 @@ }, { "data": { - "image/png": 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\n", 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F1jWUtDyBrD8FcdGtsOyqY2IsvqJMFVtKwmmdujEqAJnnn3N6mSYRYCU15wNqGDqZJ++DXIyKugXk9vZg9odxzdewE23gKod5zhBDl6VBrHV0j5MQxXJplEuJ3tKCXRoiVD8yC5phG4h4Cne2BbPdCRStZNLJKJLsBJcXyoYNbbNtkBYMT7xg26ze0U2gtYm3Lgzj8nkmDrDSfeArGXnfwLkrzu/RLA2kJN+zFUrmDA6jG6sC+3TH09i2zQWJ0fM3zGweKCXR0oSomElbch3rg7WkBoeoSfwdbUTiu3Azh6eNPpb4TLxbN+ApnUOk1qbCawAu6N9DqnMtlFfRlmpjZslMcoZJSzJBXfseyl7dQfaMc0hpNZTqBYTHg8gnnGGKyU5gjOF2w47f7NyMaVh4+zMUovucAGtwO2zZ14v0+oj0RvFucNq7/bKHQMMsGnvTpDWDlQ0HjlSYWHD7JmZHGuGsE5ElzvnbHt5OdNtmymU18XNibG7cRsMJJ7Jozixe2RcllNfAsskVTHTTYkt7jJPsfTBjudO74ysBz6ENKc8YCXZFO0joCWJajJpgDT3ZHnaF2yj/nYZ2Vgj0bcytWEpJ89NoL21znjjvHChk0RvLMLp7AEHoTKehQ9uzh+q//gn3khMxzADhjVvB7QSJf93SysXLGnDd+xO8s+cQevcnkXqB3R2b8S7yc8bMswZOO2gJSHWRNyx2NPdz+iwD6bIAyGf7IdaCtvllbFuiXXotQ090DCyL8vzeMJeeVDfywJuewjQN/qYvJ29lAejPhWnIdkP1AZ+RIikldjZLoaODwEnOcGJ/WwvuTJpoXxJhWGx8+VFOr19BIN5MKGkzfASLQED/LqKmn6aQc022RrK8YIWZVRFka2eCeZk91KU9QHEOo1VAkwZ+hj73zzX24/e4OKfCxL29CZbOp08P4vO6KTEKaLZBU28Sl4hShjMCRytY9Mk4Z736Co3xvSxdcBPVgWpk8YTp1tCSA1JK5+8AkLY0pJRHbADhlA6QFkK4gY3AYuBnUspXx3jMzcDNAPPnq2FDinI4SSl5eHMXX3tkJ6Ztc9vbT+KmCxci4jF67/k10b89gmtbIwDd9ZIXL3Xz3MmCaLkAmgmmumiggRV1K7i64mrmlM5hZmgmM0tmUl9Sj989xhdgcSqE0d9P3/1/4Izf38eZ96aInODmwfPbeGpOnNU1NcxML+Mr6S4ueeAGqF0GF38JTr4aJhhyoSjHq76URvfeLtLtD1EWHKqAvNoSJRDJ0DCjdCgxAE6Fa1tnglNnV4CWR/h8CI+HhJl1KhDR5hE9NFLTIN6KP5NFq3EqdqT7qOjbQqh9D9I7H1HuBCED6Y5FKkw2nmJLegNELsZYv5pILswFH70Nj5FHa2olV1fFms5XWL4nTo07jSvk/E3oyPVSlY9QselJPJWliDM+gGEb/Hbro5yb6OXk6lrEsneit3Vh7F5H6UI/VW02Zp+OZvcTWjY0rszo7SW3YSPll78N4fXSFs0yu+N57O4wuza1UHnBaSwE0FKkk1G6M5KzB449F4VcEnq3w9yzRp70YefHLp5by7YY/heo2eghpYep0g0ysTCm5gzPzFqj142yJVg25HSTHa0dnAG400moLYOuTYi8QVq0Q20JWAbpQpqOVAfxtii+nV1w8ixsWUEmuo//eWUjn9i9k0B1JeklMwjaFqbp9PzMH2dN633d/aQiCefQApDRTNBNSr1DjVel69dQmD2PtfEq3lS8T+8ME2iYxZ7eFAArceYBWT19uLN5/EuXghA0JZqYlxO4dz+Lbs+lK6rBkrPwpBK4DZPSPfsRS09CpkrI+tK4DQvc0Pb4/1Hh6Sajd8CcjxDPFSjbsx+AyMJOnmppRpo6yXzOeZ8KGSxvkH31S1hcuRiXcMrf3J8h1djECcnukcPBYi24sr3sK7QQSFWQK5hE89HBVN2mJcEDorULWWyjsPVhPYGZfoi3Ypd5oVAg39lGZmEtdVVz0Zv34TEzBPO9tCZr0fIurHk2ecMiALTHcjQARncXhY4Okrpz/hP5OKJzI0jb6cGynDl4Wd0EBNFMgeoDpsMlW3roTubZ5ruT2qXOELgtPeuZ56sib5rECr3AsAQNlsGLe/uo6WhndjqFmLcMdzLKnO17yK+sYX1+O9FYCbO9HpbXLcMV7meg2i+R5DZuxEqlx0wb72uLEW+L8/TDf+Vcf5KavR2YFZUUTl9CR7oDw3bOXySRYG97F6LKGgwIc20b8JhOQ4/bchonAEpbngAp8SRzg8EQgG7amH1t2NImG0uS7NvBDFcZkQVO44CQzmiatuwudDOOW7joyu1hWbuNbmVp+r/fcc7Vn2d3//YRwy/Df3kUy7bgXOdvSYsWxkq1cErdiaOOdypMaYAlpbSAFUKISuBhIcSpUsodBzzmLuAugJUrV6oeLkU5TJI5g6/8ZTt/29bDWQ0lfOL0FOZLd/DCHVuZuTeKS0JnLay5yMX2k6By7jwWzT2XT1QtYWH5QhZWLKS+pH7wy+1QeevqmHvLF7A//ikSDz2E9+5f88nfdXLzssW8/Pb5/LxiPZ8rd1GjncX39Thn/fljUPM9uPhWOOUa1aOlvKGYlsTV1Y99whJse+irsDelUZYpUFWaILnxl8yvXARu6IjnIJulptRPyUvP4q6spPTCC4Z22NbIlmQfVbZkoZFlx45XmaH14HIXCHVk4YoVsP9FynduhpyJlanFMHLk9DhNLz7NRn8SO9bCMiOH8Pjpy/TijreCL0RPtof6zavJ7emms2Iu+/N9zOxvpaKsFooJ7dt799G8+U8s2d5Ml55g3szTCJRVkmzfS9OmXcw7bTm+2W3ojS3Q1Uhhwcl4su2YjK7s5Rr3UChkSG75O/bSi9jV3IqezlDf1gdSEs0WnACr5VlirVvprz+d7Y2PUVK2EAynYsuwzGJCCGK5AvnmNkKLZ/JS95rBbdsj2zldSlIvb4ezV5Hv7aYkpZMRCfzUkrGd1nDDsrHScXyGG1xQktlPX9tOOkKlLHc3UdH3Ku3pUphzEhLIFkyqt3ezQ/STXjUfSk4mred5eNcrnNjVjLtg4okm6deS9OTTlBbaSJo2xGBTJkOtliKQdNHWmWT+4mHXjV6gcdtOMoFuXPu6Bit14bRGf0Yn1pti5ayRiR88sShWRZXTml/szZNSIsw80hMEy+CZ/U9Sunoty0OzwbbJLKyjOd5M7u8vs1C6yNm9dLOQQPPuwf1KCeXbtyC723BXJwfvT+UNyvJx9KpKsC084b7BbV25Jvwlpbjs4vtUTIzSkmqj2YjgsWwW1Tg9LDs743g2r8Uq95LODmvc69pERbQHyqpIPfY8IpCi9a02rclWBvpvbD2MKJiE1rWTP6WG8J5OSvxufC4Puzv68GsZavw7KdE0dgdLsB7eQfVHbxt6DTHUixRJ66QLJvP9aVw7tww+pPGlx4jFW8DtRSsYaMn9hDM6uq5xalpj+LsgB04YkC0YdCfy9CXzAKSzWaptieWy6G59lm4jS7N9IjY29YEFdKQ7aEm0Edy2l6A0ySUz5CIRAoVGcvF1+C0LTz6PK6Pj8rjoLg8zZ/OTBF94nvK5y0jNnE13MsmWPS2cVz8DbedOzFgMoemD7yPSKWMgEsM2nWHEVmMj2/qfoL+kgKxbRjJvYGFT3/cC3elOSrMB/KEwpZn91PbvIGhZUJoFdy292R68pYL6bc6a7an9eylZcgZhrYOgu4x10U3kzD6Ctou8nSVp56jVDVpiWYJkyZpO4JqRGmJ4pFDI4mrZBalu0vufc+6btRwskzVNm4hLnUVLPPgbu7FJ0VbZzSkcGUcki6CUMiGEeA64AthxkIcrivI6Pbu3g1sf+wtlic18OtPCyff3s+CHzl+l3loPmy8owZ4dZl6li88sv4H6C/4FEZiadLCuQIDqD36Qqve9j+QjjxD5n59zwR3PcOnpp/H8WxfzQ++z3OC3OLf6cr6baqPmwZvg5R/DW78Jiy6ZkjIpxw4hRBCYL6VsnO6yHGmubIbQ9k1kjATru8IEawQ13lIorxxs/93VneJM26SxdS0NJ84dbEVO7uoiZubpNwqsb3oRX6KTTq2fumHZAFOmRp+ZoE6WULBMXtr7IFa4ldr8bGS2BRDE7QyhXA53rh+yYTBLaXr6YVL7myikvbTlSigtxInnDBj2J0SkehGJLF3FFv3mpvWYc2sJZp3K9ebWnWRPrOECnO6Y1YnddBUiLNQ9GNEkuV37CS1OQKafxmgj+e49lJgLoa+LWsDwjt/Tnep9meijOr6qRYSybXDeClJGjk1tazl39kpSyQTbe3qI7F/HopoSuPgMXJk8nv4Y2CY2Ni5b4NI0SnucXp1CqTMXZ2B4UVssx4yNqymvPoHMKWdQku1wkmZYNuWpvQD4kvvw1cwEyuhL6YiMjqdUYBUKkI/TWaggkS/QZ6YZSDGk23k8ph9czhtpS0laM/GbGobpJlkYOVep47mtbJON6Kd5abDKODA/nK+QhJ69o85RxoizvnsPq+acRF8hRU9HmHmb/of4iW8iH43iSe5BpqMgvTTu3MKmpxqpu/xMrFwEO1BLZ64bKzgPl5Yful41Hb8RAVkBvdHB+6UEKUBgw86HCTY6c2QKw5J0lKX3gc+NaZt4KKbajrVgSxdyxokIIQjt3ExXfh/5bJZg6FSCntEZEQPZBJ5kFvQsDMvY6Es3kcpnQED/3i52JzqpLPGwsnzB4GcpmTPp0HqxAg1gFchv+yMURiaC6Mm3kg455S5E29mb3EG928Dv8hKLNaOlwvg9btr3bmaXZxZaLEvtvhg9DUmGD8DVTYtdXUlawhkqUhbdNXWDPafCtDB3PId30bnE+8K4Q15snxPchfVOHt3dS31FgAZpgmXh6o1gu6WTJKfIlAb1+yJYfg/J2gXs2d9Kf1rDm3fO/SudOynRWsnpFfjCPWjhRsq7esnWnE1PUmNwPNmw8XS9nfuI7d5BdNUsCr48erYwuC3aHqOiYOGynyEj3FTud95/t7cDffFMevO99ETjg8e4eesf6QnMpDvbRHVbBxU1TsBsGQMJaCT+TOvQ+SoO83O2FX8O76HPJnDHc1hVIVzxJNrjP0dmmhCh2Rg9PXijadBSGEcqumJqswjWAkYxuAoCbwG+N1WvpyhvdP25fp5qXc3qvz/Eou17+NZei/lOYiUSC2tIf3gFi2blWNb9KCBg1Sfgwn+GkiOzHo7weqm89loqrrqKxMN/IXLnnZz339t504rl/OjkIM/N38RbSvx86fxP8MGdTyJ++2444TK4/NsTrvOiHL+EEO8Cvg/4gIVCiBU4C/9eNb0lmzpSSgY6sHztLQizQLTgtPp6DDcvtm2BUy9GGCZePQwiS0JPkjfybHzwN2iJPFUhHx35oR6EcFrnwBQW0rJ5JdlMXGbQzRThlAtblFGyuQsrl4JTfQjLGUoopA2FgjO5X9q4wxEKtoluOxUht1UYY16DHPw/q5lIo0BTV2JEK77o2gsdLVjSJldwHh9PrKfLVcucGNC8mq5Ejlg+SRBoNLsImRXM89QMnqtBWhJDWsSsDF4rheHx0pHoAMuERJZ1Pc/zcsUiotszpPZtLB6XiW3qBNftwpUvDvmLtyFLnHFkwaYdDFXrIJ4rkPBlcBWPTOYMZ1qKtAfndVV0hRGGMXi7MrGTSKGiWF5nP/7WGJrXDcEK/HoUDpieXprZT746BAgiGZ1wRmCm8vgsnc7cXl7uCnD+nPMH9ymRJLIF9O3byAo/cTs7uK9QtoO4CR2JAh6XGJwOE448TSjWQ7p2Dt2FJNG+VhYBof27aO7qwW86+7ClZGvbDrAl2R6nezJmZoibOVKFMDPD24nmUhCsxWVkCGaTeDJBdI9zPtMyh8tIYkiTmJVEyipCeed6brfCTgBIKUiJP5Hn75GtvKPsBGRaw9uXwNR7edTuZkGNB1cyQUCL4MYgyj48nnJK7ItwBksdQACmRTijk9ZN6nB6oNKmje6zsbGHnfWhq9cY2Fchy0u9uzg/Pw8BZG2NrJnEyvZCtQQhSBYi1OgxMn4/fpcXIxMhlTfwuS3clkYrfYSiWWwkm9qeIaSl0QvO1dPYm0YzcwSjWYJdSdIdOYIB+Eq4AAAgAElEQVT4yFOgbmeakqAXf2w3vv2d9C2fg6vSwHZ5MW2dZCpNfbkTkLj2dUJOgzI/VfHteGwn4M1rTkNGvmDS3xlnXsYJvlzSwl0wCMWTeLQCW1ufZ77XIG7lCFsatZaO0RnFTDlD/CqSewj7PEjbTSjf47ynmkkqlmHR7j6S86uIezOUtUaREvbOcN7bgRmXWVvDaxtI6Zz/gQCrJ5ZiQ/PTlEQT1O/fTiASIA8UYkNrursiCZhgVYFwWkd6JYZlo+1pItAUoWvhDMymbcTLfIBASIm3pXVwiOaRNJU9WLOAe4rzsFzA/VLKx6bw9RTlDUczNZ5pe5q1z95LyUtbWbXH5tYE2ALM05ZS9fGrmLHqVLzNv4ct90EXsOKDzjC8itEZfY4E4fNR9YH3U/Geq0k++CCRO3/BZ7f08YHFS/jR6Rrf5UmePfECvl92A5VrfgJ3XgDnfAouuW1wXRflDeMbwCrgOQAp5RYhRMP0FWfq9KU10naWjuR2gvEG3EBd81NErBSEnF6e0O4+fJpJhucpaXQzS99AcnkDWzsNEoZTIS61bMJpbcS+K9v6ht1yqpUbHnuRngoNH2BIk6Blg1XAsG36rTBV+/x4h7VQe3a3YAw8P9FBv2GRsgxELEoQiXSNnEyfyBfQcwbetIYE5AvPU1kyD22uExBkCyahxn7wzWZPrpdwupKSlFPujlwCPe2hKpIhki3QFs9zEuBt6qTrZHMwwOpK5JFSYkgTUt00J3uI2E6PUzJvYLlduK0CdTs7cGt5OG8RqchQR2go14Vhe/B7liKBXMEkBHTqceJmjopwiviwY7IiSagcOouyWC8Xlk5msIVd4ooksGuH0lsH+teOmO/lTuRxpTSESBHM9w7eH8kMqwRKyOoGcb3AYFQ0cG71BEZfP929CZKaAQGnsp2yc6QYmUHNbRZIZ012552erxmlKwCJX48jTJ1IPkK+YBK3sxRsD0JKssN6C8JGGorJ1NtiOWYZJl7LwrIlJdk2ejxZsHQCGhAscWKVYT1TcTuLiL9Cb8hHzLR4cVs3QW3YnLBMK4nGVoLRHN6uBAjIed3Q04HPSGH1dSAbXmb3Ey+iuUsISjkYD3nTjcxZ+3v67AzMn403PxRYGpbEtafdyWBnDtzvPHF4jpNWLQKUIKWk30iRL5iUZPrRCwbm+l6SNU4Nf4/ZhU8vxW1puAywPS4K6T7cWoLOXBlhDGRx1GLBshHSJm5nqaDYG5PIsDXeS4WrhCotgsvSAYnbcAK9iJXmQMPbD9yWhss2mL/hMfR0Hy7fuUCQXDZZnJvpxxOPEPJEsO0Karq3D+6jdm8XvQWnJ7mmrZmS/gx+fxDdypMtJNmb1XAVT4qR2EzQ4yalDfWGdWtJJLDYNTR8NxRP4S6YVDeHaTrZTe04E3x6rDh9neuQ/jKyfnuwgSWQzOPL5AjFU8WDHZ1cxt3RB6c4YYqQNge+RN6wCGs6oDMr3oONJJ3TCeIlXXA+S6FcF5bLT163KAl4oJDlSJnKLILbgNH5ZhVFed36sn385emfkXv4Uc7aqXN9CkyXYOfMRfiuew/n/MM1eOwovPjf8MCXnIU4z/ooXPD5Q059PFVcPh9V119PxTXXkLj/ATx33cXtD4XZMaeWP13yMlee0MgPr7ubs7c9Aq/8DLb/GS7/Dzj1vSq1+xuHKaVMTmY9p2OeYZKycwigNL6NiBkjLo1iO7sTYNkZHTxu2NYD/rkk7RyNiSbKMjp+BHKc+ZIlkeIis+CkjQb2FyKEYi5EcV5JoDFM7rSZxItBlS+jI4evHZV0WrQHc0cUnEr0wGT1pD2y4mJFsmRDvsEha2JYL4MpLUy9uNaTz+k18EZzBONO2TTDwhaSSDiFHnTjy2kQcobfeXSTgfF0Bcumx4rTWmhhefsSIttHD4UDnOF57uJ8FytNuZXHdnkRUmJLSUdPL36fl4wMMNMwKZgZknkDr3t0q3cwmkWv9g/2f0jAte8BWs3+wTWd0HREYqjCXLJ5P1VB53xZUpLVDUJ7w5T642TqhxqN3IkWSoB0pXPWmjNRTGnjTwwNh6zb24bfbZHBonfTNgqYQOm4fxMr98fwZYYScuStDN3Z5sGYLaknMW0bJETsNGV2GS63c03YUhI3c/iyKYRtIuRcEjkDy1UgY5mUuzTwOK/rMbMI2wd48OQjIzI8SgnebAGXYWF2x2k1TQKMvFbdhnN9mC1RUpWlpHUD6XLmIJbuewlLi6CVlAztsCjV30ZjiUFjNE1VYWg0hrm1ld6CnxJpE9DCxIUHV/Ea7DGcYCOrmXhdeXxIEnaWbsvAr5tgx8kZzvu1vXcPiwK1DHx+AlofGeqo6IhD3glCdGnQZyeoZGgtq5rGfhLDsjGG+vswcT4nfU2vYrVvZMG8U2ibZNrw6pYeKvtb8VpedKDs1U24ggvotuII22ZhMfL35g0Mr05p3+iAbYCvkMArM7i0oZTAdrEcCTOGyzW0nlvSzg8GNrpdGNbvN3S91e4aaiRAylHXop2NQjYKM4ays/jSOvW7WzkoKSnpz+CpSGMfkFgmbQ81JjQlmpGGcx0H8z3s1XyDa24lcwVMW6KZJv5s5OCveZgckTlYiqIcHi3RZp767e3M+L8NXNRmY7sE+5cs4beLz6Cw6k3818cupF5rhWe+CDsfBrff6f05/3NQPnry+NHA5fdT/ZEPU/m+a0n86U+IX/wvp95rsHVBjO+2fp6rr76ND5/xD4gnvgQP3gQ7HoQr7zhqj0c5rHYIIT4IuIUQS4B/BF6e5jJNCffeNgBnoVnbRJOjK/epvEGgzO1U/vwQtpJUNx983wEtjOF1WuJTWoGygFMRHAiuAGK5Atb2nnH3EU5rBKVNOJknNEbZBh6T1k0W1Ti194r2+IjtHjNLzZ6hOUSJXIEWn3PbnxrqNTFsmxbZy+JGgfRJEAF6khpuir1G6SxWedAZWih16rd2saV1C5lhre4H0k17MAtjMD/Uo2daEr8RBR18vkoyhbEXdxbSQgo3FZ1x8vkg6TnF0DG6D29GEhRDr91s9GAnXSx1OQOlDMvGl3Yqh3nDQjNs7IxOSTKP7RkWaAxLIe3RTcxiq35lW4xC2VBSB6snSn+Fn3bLOXcFuxSPPnqhaGHZI4IrgH6tHQJDgYDUEmjG0HXQVehhlscpRySjE/AauK3RvQsDPJrBwBlzG1nyMoBpB6AwuoJf0p/BKi7Wq0vnfJX2pMjMKh8x12dzrBs3Hjwh57GiWKkXY/RyRO00dQSoao2SD/pwF3vfjNZ2ysrdBItrZhXk0PuayTllK1g2ecMk4NLJSR2KQZ/N0OvkpM6OfCcDjRxOUQSBRB7Ig9eNNVbvS8Fkxt7+wdtWduiz4DwX9s5opzqcGfVcgFzBwmMPNUqURGMIyyYjnedKKRGpzECBSBU0mo2e4nmaOGhzWxpuXIwxsHJw+4Dh56LDGppXF9D6GEt5Z5L07LHH9c1oGjl/0GU7wx6hmPHyABIIxPOU9qaoiD1GsjD098lrpEnJofl/nngMg6HLSJcm7mKDk2kPzGeE1BivM1VUgKUox4Bwqpcn7ryNeQ+/ykVxyNaUon/sGv5Tns7LcfjkRYv40vICnic+AbsfBV8pnP+PcN4tUDpOTt+jjCsQoPqGG6h8//sJ3/sHlv78F3zrd2k2r/k2P/jAZXzuY0/gXfdLeOZ2+Nk5cMW3YcWHVG/W8e1zwFdxFq6/D3gSuH1aSzRF8lqGgjTJaCb9dvLgTzhEA5UmzbAJ+sZY68myKdgMa4M/oKImIJ4pINxuCuNUuNO6U3nJ6GNXYgLa6MVkk1YegSCQHKosDbxs3i6g5TUIBbBtiRsQtsRo3seeUBa/OVQRdFl58oY17p8DC5uGdZtI1c0c+wE4LfvD9VpDlWJvIU3B5wRVoUiG3IzB/iokElEM3rzF9NQuy4YxOhStCYKV4YZXzofzGmmSnfvZnx55juvG6A2o2zF2wFyabiFT6hyLlhiqKFtYeCwDCAz2UwwPvgA0WcAvvYO/DyekSdhKkcnnKJGjk5B4NINEvgBiqOpZ0p8mXx3Cnxh6/3OygC11ZkgfhjQRmQy2lJRk27FdzhUazI91bHKwp9Rt5fHmDl7FTWsm9d6Rn7cDj3nEMSLxp4cnXBj6jGTHue6dx41Wvat73Mcblk24qwUX4Etpxbl6Q1KaQa3H+TwANGeHtg+kSJ/I60rZLeW4rxGMZQnGJjcML5DvIxdypipY9ugSWdhOTyGMCK6AUedDWDYZ3cRbbFCwsXGP8QEUhfEbYQ43lQdZUY5iuqnz8E//id1vezNn3/0q/vJqKu74Num7/soN+bPYnvdw35Vevpz4dzz/exG0PA8X3Qpf2A5v/fdjJrgazhUMUv/xm1jx4nP0XncTJ3R7ePt3VvO3911KOHg2fPplmHkqPPJZuP8fIJ84+E6VY5KUMiel/KqU8mwp5cri79rBn3ns6bKcyd0eIzvYuj+WfHHokl+Pj/uYsQymwWbsygyALzt6bacBCSM27rYBUcuZT9GcPPhjB4TT+uBwwwN1WVEnYcOw4lZ0JAjbKTwH9FaFc/tGPd9VzKqWtLMUpEkw34c/kxv1uPEMP0s+I0Fptm2wAl/T2D84rC0/LNAYXvEzpcUOvQ2NobLq5sjKe1l3kmBs8mUa2H8h1TbifnEIVWaPbg4GhMU8JgjbHrzuNMMcXBdsuPIeJ0AeGA5akCbm8AQTA4GxMfb7OdCbdmBJa/b0OUM/iwaGqxm2JC3zI3oqhl/HB+OZIOAZizc3ceW7NLMfcHrihjOLfUHGJIPnyRo41qrW6KhtB3ZSjdXjPZHXU9b6bd14868/UBl5zY6+fsPW5BuaIhkdW8oRQyMNOfr9r9zeO+q+qaJ6sBTlKLVlzcN03347J+3PE55fju/f/oVVV1zLD1c38dPfbuTq2h6+U/03gk8/A8EquPSrsOpmCFYefOfHAFcoxKXf+CI7P/xB/nz7F7li62Yi13+U5MUXMveff0Bg6ZPw9L/DL7bAtb8ZvYiocswTQjzLGN+8Uso3T0NxjoiAPrqXx2ukMbzOXJ10cYiL13jtvVyp11A5Guh9ctnjPzduZ5nhLqf/ECpGMH6P14CSbNtgZcyjGSBGD4cbqGAebEqLRx9Z/vGCzcnSxgkmALqtGMG4yVS0mQ+vULvHWPT4YMq6UyDE4Fyj8q6h9yw9zjCq8lj7hPuU494YSTB+5X54AGqah/beTHRtHoyFjcscb9DcAa9zQJCcP8Tg5rCZ5PytA3tmD4dQ5OC9ZAdXXHALGOtjODqtxbFlUgHWWAsEK4oyNdKpKM999SYWrW6kNugi/S8f4U033UY0Z/APd68j2/Iq/1fzOCel14JZDZd93Um5fpxm2Dtl8Wzm/vwePv27u1my/me869U1GNe8TPVHP0rtdY/g+tun4e7LnXTuqz6hhgweX7447PcA8F7gyA2iP0p4zCxSHB3toWKMVuHhBnqxDutrHlDRcnpaxl8HayIBbeQk9/GGO07WeMEITDwM61B7EAbmcI0loI09nHBMxUq5sCV5e3IBxQC3lZ9w+/DjzRXG3/dYc6nGoo0T8JgH1MYHguQDh41Nlj3J8gwQw3r3DuyRPB4Mn4M11bzmkcvqd6RN9i/2nUIIH/Ab4A9SSjUmR1GmwLYXHiL+la+zOGLS+paTeNM3fk5ZzUw27I/xk98/wM2F+7jEvxmsgcDqZvCXHnzHx7iKkJfff+JmvjZvLrec8Q0+/LzBZb+6m9QTTzDz1m9TFrsXnvgSRPbCFd8F99FRGVVeHynlxgPuWiOEeH5aCjONXLYx7qTyo03cPpoqTKMbW45k5XGsIUoDJgq+vLmp6xEpzbYd/EGvUWF479NhGC5nT7KHJjrB0NbJmNw1O3ZZJlnEKXGoPcVHGyHtCeeLTTRU+lgwqVqIlPLCYganjwEbhBDrgF9LKZ+a0tIpyhuEYeis/uanmPfntXjL3Og/+ArvePtHkFJy31NrCL7wbe5xv4QZrIQLv1YMrI7PHqvxuFyCb73jSk7ZXMu3A//Ec6e6uO0FgfmFW6l8//upX7UQ1/r/gfh+eN+v33Dn53gkhKgedtMFnAWMn6Vg5HOvAH6E09XxSynldw/Y/gPg0uLNEFAnpawsbrOA7cVt7dO/sPHx10r+eg3MfzpUB+uBOxocypyso9Xr7Rk8kgxpHXQwmusQhyseCcPnph2rjmSDx5E26WZeKWWTEOJfgQ3Aj4EzhLM4yVeklA9NVQEV5XjX393Mxk99mIa9SVpWzeXCO+6homY26USUNb/5KtfE/4zLA/o5n8d/yb9AoOLgOz2OXX/GKhbX3sPNT93Mx6+L8+UNF3L6/feT37yY2R/7CoFt34O7r4APPwhlk6qLK0evjThNxwJnaGArcNPBnlRc4P5nwFuBTmC9EOJRKeWugcdIKf9p2OM/x8h1G/NSyhWH5QgOg4OlXVbGNnztLWUkMUYSizeqzCQClcr9r234ofLGNaksgkKI04utfbuBNwPvklIuK/7+gyksn6Ic17Y9/yBN77ma2fuS9P3jtVz526eoqK6n9+mfYf1wBVck7qN91tvwfH4T/iu++YYPrgacPXcxf33vfYR8M7n9nA388n3XYMTi7P/GfSTn3AqxVvjNlZDsmu6iKq+DlHKhlHJR8ecSKeXbpJQvTeKpq4BmKWWLlLIA/BF49wSPvx4nDbyiKIqivG6T7cH6KfC/OL1Vg6G+lLK72KulKMohkFLy1J1fZeZPH4YyN/7//T6XnH8ldG4k9sDnmJncyUZxCv4rv8OpKy+e7uIeleaW1/P4+//A+x65kSdP+Btbg+/jR1t20P39eyh86CPUpO5F/OYdcMNfoXL+dBdXOQRCiGsm2j6JURNzgI5htzuBc8Z5rQXAQuCZYXcHhBAbcHrNviul/MtBC60oiqIoRZMNsN6BM2TCAhBCuIBAcY2S301Z6RTlOKSZGo/d9kFOeWw37SdWsuquP1FVVor5yOdxbb4HQ1bwo+rbuP7GL1BXHpzu4h7VKgOVPPSe33LD326mifv5gLyWOyvr4d5H0S9+C7PnPYPr1++AGx6F6kXTXVxl8t41wTYJHCzAGiuV5Hjj7K4D/jzw/VY0v9iAuAh4RgixXUo5aqElIcTNwM0A8+erIF5RFEVxTDbAWg28BRhI9xEC/g6cPxWFUpTjVXesjRc/ex2nb07QdekyLvvBvXh2P4T15L8itAR3m1eQOfeL3PL2M/G41Trgk1HmK+P37/wVn3zqM2zhAT4q3sPXgh/i7L//gfZTzmTe8q2477kKPvYkVMyZ7uIqkyClvPF17qITmDfs9lyge5zHXgd89oDX7y7+bBFCPIczP2tUgCWlvAu4C2DlypVqopSiKIoCTHIOFk5v1WAuxeLvoakpkqIcn9bveZoN172T0zcnSN94FZd96/t4/vQBeOQzbNNqeT/fY+GHfsQX3rlSBVeHKOQNcdfbfs75c84jOOchbp+t8bu3fYL8nn20vXoSZiIJv7saspGD70w5qgghrhRC3CqE+NrAv0k8bT2wRAixsLjEyHXAo2Ps+0SgCnhl2H1VQgh/8fca4AJg14HPVRRFUZTxTLYWlxVCnDlwQwhxFnDs54dUlCPASbV+B+kbb6Gh28J7+62setM8+Pn56G3r+YpxE1+r/i9++I8f5rJl9dNd3GNW0BPkJ2/+CZfMu4TAzEf464J+vnfhTWjt3bS9vBijuwN+fw1ox/baIW8kQog7gQ8An8MZ9vc+YMHBnielNIFbgCdxkjPdL6XcKYT4phBieMr164E/SjkiTd8ynOVItgLP4szBUgGWoiiKMmmTHSL4BeABIcTAEItZOF96iqJMIGfk+Nlvb+Hin7yCx+Nl7h23Ud32S9i5kU3+c/hs5sNcuuoMHnjXyQS87uku7jHP5/ZxxyV3cNsLt/F3HmP36VfyFfvjfGvdb2hbs5gF1m68910PH34IvIHpLq5ycOdLKU8XQmyTUv67EOK/Ofj8KwCklI8Djx9w39cOuP2NMZ73MnDaay+yoiiKcjSy7CM3knuyCw2vF0KcBJyI04q4R8pjfIllRZlibak27v7Bx3jv/d2YdVWc8tnL8K/9RwreMr4uvsBfcufyrfedxnvPmjvdRT2ueF1evnfR9/Cv8fPXlr+SPvcd/LP4ON9/9Ze0rV3KAvkK3r98Gt77K3CpoZhHuYGREjkhxGwgipPxT1EURVEOSf41LlD+Wkx6oWHgbKCh+JwzhBBIKX87JaVSlGPcc+3PsuY7/8x1z2qYpzSw/JIC7h0/Znf1W/hg97XU1c/h0Q+ewZL6suku6nHJ4/LwrQu/hd/j5897/8wJl7ydW+XH+N7aX9G29kQWiL/grZwPb/336S6qMrHHhBCVwH8Bm3AyAf7v9BZJURRFUSY2qQBLCPE74ARgCzAQ/klg3ABLCDGvuH0mYAN3SSl/9LpKqyhHOVva3Lnxp/Cfd3LNNon3vCWcuHADpN38oPxL/Kh7BdevWsDX1ZDAKecSLr527tfwu/3cu/teTrn8Cm6TN/KdtXfT9vIJNPBjPFULYOXHpruoyjiklLcXf31QCPEYTsIlNYlOURRFOapNtgdrJXDyAROBD8YE/kVKuUkIUQZsFEI8pSYLK8erpJ7kG09+kfN/toZT2yRVF9VSP+t5IjPO5UPhG+jWZ/Dj60/jquWzp7uobxhCCP7f2f+PgDvAr3b8iuVXvoV/40a+9cqv2L9mAQ2uL+GpmAdL3jrdRVXGUEw08SfgT8V1qPRpLpKiKIpyjBprgcSpMtkJCDtweqImTUrZI6XcVPw9jZPJSS1CoxyX9sb3cstvr+Wd31vDyV2CWRfb1M/bwwN1t7Cq4xaCtQt47HMXquBqGggh+PyZn+czKz7D1uRqqq5q5pvnf4xs3KbthVlYv78R+lS7z1HqKpzGuvuFEOuFEF8UQqgVfRVFUZRD5g4euRWmJtuDVQPsEkKsY1gLopTyqvGfMkQI0YCzUOOrY2y7GbgZYP589b2pHHueaH2C3//xq3zhAY0S4aHhoh7sE+ZyXfZLbOqezRcvX8onL1qk1raaRkIIPr380wTcAe7YeAdnvtvke64b+fILv6L9mVLmh96P+7PPQmntdBdVGUZK2Qb8J/CfQoglwL8B3wPU+FpFURTlqDXZAOsbr/UFhBClwIPAF6SUqQO3SynvAu4CWLly5ZHLn6gor5Npm/xg4w9ovf833Pa4xF/hpuG8TrbMeQs39H+ARbPr+Ov7l3PSzPLpLqpSdOOpN+J3+/nOuu9wxrsMfiI/wudfuIfOJzTmVVyP66bHVPr2o0yxge79OEuDWMCt01keRVEURTmYyaZpf14IsQBYIqVcLYQIMYkWRCGEFye4uldKOam1SxTlWBDNR/nS81+k4YFX+dya/8/eeYdJVpWJ+z0338q5u6tzmJ6cIwxhhhwEFITFjLrL6q4BE6yu64IRxbD6010VMYFiAFFEJRgQVAQM5CRpBmYYJnfPdKquqvP741bsququCR1m5r7PU0933brn3u+mqu87X5JYjVmSx+zi4/rb+f72tfz7iT2844QedNdrNeN47dzXYqomV9xzBQvOGuXr6Qt52x+vZ9OPn6Yl8m+I868BMZWR2i61EELcC+jAj4DzpZTPTrNILi4uLi6HKJIZ1gdLCPEvOGF8EZxqgs3AV4ETxxkjgGuAx6WUnz9wUV1cZgYPbXuIy+54D+ffuJWjHpUEOwdJrQlyxvAVhJoXcMurFrheqxnOeb3nYagGH/7jh5l9zijfGX0lb7rvp2y+5jck459BrL9sukV0cXiTlPKJ6RbCxcXFxeXQZyrD5OoNEfx3YBW5HCop5T+EEIkJxqwF3gA8LIR4ILfsQ1LKX+6XpC4uM4AbnrqBr93+cT7wkyytm9PEF/VzR+8qviDfwntftZgLVrSiKK7341DgrO6zMFWTy+66jOFXDfHj9Mmc/7c7UD73FRpj3YiFr55uEY94XOPKxcXFxeVg4VHMKdtXvQbWiJQyJXJhM0IIjQkMQSnlH5jaioguLpNGKpPik/d+kkd/ewNX3gTeVJrosQNcHn8z5qLz+dUZc4j6pu7BdTk4nNJxCl7dy3vufA93v3IAb2oNZzzyZ5T/fj8NX+qAlhXTLaKLi4uLi4vLQSAgpq6KYL0JIr8XQnwIsIUQJwM/Bn4+eWK5uMwctgxs4aJbL6L/hz/m8u9nCCojpE80eE/vZ3jdW9/D5y5Y7BpXhzBrm9dyzSnXMJwd5KZzn+buOfPZ+ZjN1steC7tfmG7xXFxcXFxcXA4C2hS6feo1sP4D2AY8DPwr8Evgw5MllIvLTOH+Lffz2p9ewLHfe4R/uS2Lv2GY+09cyN2v+D7XvOcCjuqOTreILgeBhfGFfPf07+IxbK559Ub+1t3Ojr+qbLvsbBjZM93iHbEIITxCiP8SQlydez9LCPGK6ZbLxcXFxeXQI52duiysugwsKWVWSnm1lPJ8KeWrc/+7JdVdDluklHzn0e/w/p/8M+//9m7W/W0U39whfvrKt3H0B67l7SctwNTcVjyHE53BTq49/VqS/ma+8OqXebItxvbfD7H1P18J2cx0i3ek8i2c3otH5d6/CHx8+sSZPAbivukWwcXFxeWwZtQITdm+6jKwhBDPCSGeHfuabOFcXKaDwdFBPnDXB7jlpqv47DVpujaPkD1a57H3Xc8733Up7VHvdIvoMkk0eBv49mnfZl7jQj72T7vZkPSx4xebePlTb55u0Y5UuqWUnwFGAaSUQxymub1ZzW3p4OLi4jKZZBV9yvZV7zf6CmBl7nUs8CXguskSysVluniu7zlee8trMH74Ky7/XoawkmLHeUtp+sIfOfWYoxBuf6TDnqAZ5Osnf52jO9fxXxcOsyVusOt79/HS1/5zukU7EkkJIWxyRZWEEN04Hq3DDuHGhLi4uDKUCu8AACAASURBVLhMLjMtB0tKuaPktUlK+T/ACZMsm4vLlPKbjb/hLTdeyHnffoY3/DaLp3mU1OUfZO1Hf0Ak6J9u8VymEEuz+MK6L3D6/HP54GuzbAsp9P2/G9j8469Nt2hHGv8N3Aq0CiG+B/wGuHR6RZoc7J2D0y2Ci8s+I4XreXU5dMh6pq6KYL2NhpeVvFVwPFquxulyWJDJZvjyA1/mtt9czRU/yRLfnSW7MkTksz8i2NA23eK5TBOaonHF0VcQtaN8KHM1n/6uhI9+ARlppvlEt87CVCClvEMI8TdgDc7c47ullNvrGSuEOA34IqAC35BSXjnm84uAq4BNuUVfllJ+I/fZmygWcvq4lPI7B3osE8qbyU72LlxcZgSmpjCSdu93l6knO4XzAfX2wfpcyf9p4HnggoMujYvLFLNreBeX3nUp+u1/4tO3ZjC0LEP/fA6L3/NphOLOzB3pCCF497J3E7WifDh9JZ+6NoN83/sR30iQXLFqusU7bBkzqQfwUu5vmxCiTUr5twnGq8BXgJNxCmPcL4S4WUr52JhVfyilfMeYsREcz9kKnNDEv+bG7trPw6mLgQY//s19k7mLCckoBggFNTM8rXK4HN64gfYuRwJ1GVhSyvWTLYiLy1TzyPZHuPRX7+Ksm7ew7mGJaNDwfvb/mL3y2OkWzWWG8fp5rydqR/lo5jIuvzZF+l8vQnzvZzTNmTXdoh2ufG6czyQTh6ivAp6WUj4LIIT4AXAOMNbAqsapwB1Syp25sXcApwHX1zF2v5kJRS5G9SBp3Ytv7/PTLYqLyxFJVugocnS6xXA5CNQbIvje8T6XUn7+4Ijj4jI13PjUjVz7syu49KZREjslw0f1suAr16N73AqBLtU5vfN0Yq+N8dn0xVx23TBb3nguyg9/RUNny3SLdthxECb1moHSLtEvAqurrHeeEOI44CngPVLKF2qMba62EyHExcDFAG1tbjjxQNyHd9veutYdshuxh7ZMskT7T5saZ2Nm23SLcXjiurBqI0SupI/LZCCm8ObblyqCb8f5kWkG3gbMw8nDcnOxXA4ZhtPD/NddH+LeL32Ej307RWIIxIcuYem3bnaNK5cJWdm4ko/9yw/5yj/ZiME0z7/+TLZudpWwyUIIYQkh3iuE+IkQ4kYhxCVCCKueoVWWjVVbfg50SCkXAb8G8nlW9Yx1Fkr5dSnlCinling8XodYtbGEcUDjDzUyaj2XcfowlHozKA4OaW3m90Gz9On3ss4UpFtR+JDEo9hTtq96n5YYsExK+T4p5fuA5UCLlPIKKeUVkyeei8vB4/m+53nzdWfT+5mf8uZfZ8m2hGi++VbmvvFt0y2ayyFEb7iXT1zyS777ai+eXSkef82pbN+2e7rFOlz5LjAf+H/Al3Em9q6tY9yLQGvJ+xZgc+kKuaq4+ZLvV+P8rtU1djKQE+hrAWvq+rccymTFvhtGxn6MOdhkVHNSt6/Ure7VR97AyHqOTM9tVqmcIDjSJkmmuoKkR0zuM3KwqffstAGpkvcpoOOgS+PiMkn88plb+MRVZ3PJl15g+bNZhs89jUW33kOwtX26RXM5BGn0NnL5B3/DT8/xEts6xP2vOYnNW6e3QMFhymwp5VullL/LvS4GeusYdz8wSwjRKYQwgAuBm0tXEEI0lbw9G3g89/9twClCiLAQIgyckls2uVSZETdF0aiydHXCTUy2wpNRi7O/B1thH4tP7N9M86jhZ6+vY5/GWOyb8fry4qoRo9NKgxqa0v1JJWdgzRBPZMoI7/fYpBrZ5zEZtdKYahmzHbW9ukyj9syaLJHq/j3Laa0y6qf0O2t/GG+CRJ8BEyH7Qr1n9VrgPiHE5UKI/wbuxZlZdHGZ0YxkRrjiF5fwzH9eyntvGMUydYJXX83ST37BbRrsckAEzCCXffRu7jzNS8eLA9xz0Qk89/KkFpo7Evm7EGJN/o0QYjXwx4kGSSnTwDtwDKPHgR9JKR8VQnxUCHF2brV3CSEeFUI8CLwLuCg3difwMRwj7X7go/mCF5NJKlCpqMaUQNn7iHf8GfKMUj7Dq0zid1yv0VixrN5mycNWlEwdBmO92HpR8crLIEX59gUHnvozauvsSQYPcCsHHxUFjX07nwm/hVWlsIo9xguTVcrfyzHVdU1l8kPrB+ITh0+O6uOvM6oHan7mUap7RoZDtY18WU19LnnedsyK40k4GTRjz+moZ2Z5uobC5b2hAvs5uZFnou+dtLZ/vajqeX77WotGbbbE2BuKTF3/qzz1Nhr+BPBmYBewG3izlPKTkymYi8uBsrFvA++/6kSO+9htnPhAlv61i5n32/toXutWCXQ5OBi6zds/8wcePNHLvGcHufttJ/Hopq3TLdbhxGrgT0KI54UQzwP3AMcLIR4WQjw03kAp5S+llL1Syu7cbxhSyo9IKW/O/f9BKeV8KeViKeV6KeUTJWO/KaXsyb2+NXmHV0JV7aHcYtEmaB1xsMypjGoTUcZPr67mUZsozBFgyG6gr7G1qseuFHMfZqu1KrbFWAPLJ2y69SZ8VVL4JDAYm1iJHw57GEr4aFRDtKjRuuXbVybyRKpjzl2rFjto+27WojSpRSV10C4a0qmAza4u57hTfscoCRj7fh7MahdsHKwx98L+hMuOnXw4UGpV/czfX7sjc6uPE3rViQiPoZHwV/cGbl3QVHV52X4tk7i/vmPUVYXQGCNvxCxex4QWqvqcTCZ+y7nGw3ZDzXUiysTP6EigeA6kUrzPBmM+mtUo2VBtQ/tgsy9+QQ/QL6X8IvCiEKJzkmRycTlgbvn7ddzwjjN423d2EEoLlE98jNXX/ADdnhnhDC6HD4puceEX/8SGY3ysfHyQ37/vNO59fuN0i3W4cBrQCRyfe3UCZwCvAM6aRrmmhGoOITtn2JR6berBI0y0OkMIh6wEPqs8DG50jPeslrNqVK9tmBmqQka1yWgqg+HxFR21RNahnNIla5iQ2jghTnljJC9vtfa20tTZ21hfvS4FaFBCWEqlF6Le0MHghF6f4tmVY4yLoK0T8jgGhioEQVtHEwfPGziWZLhc1lGvQWZtJ6kq3tSxRm0tTE0lPI6ynDcw815Ob2t5qF094bKTTcas/vw1ao6stULdBmMh9jRV3mu6WnvCoVYIX95bE7R1bEMZt0LeqF70vOqagqEqZddrrFepQQ3RqjqGu6YcnKmbweiYe6nkuyL/DGeV6sZzuxZHqfL9Fa7Tg5q2dYzli8gGp84DXde3bS4s8DLgg7lFOnDdZAnl4rK/7E3t5VOffSXet3+C0+/PsnNBC723/oE5550/3aK5HM5oBqf+393sWulj/QND3Hn52dz6RD0tl1zGQ0q5AegHgkA0/5JSbsh9dvgzxlshcsrOvqo8KgodWvXZ4YrkfCHIlChcLy9uZqTG7HopgzEf/dEWBj2O1yOmlhtRRm7Wv8nTw+7Wxrpm5gGyee9DjYPWFaXm7H8lkmEzTsoo5izJjmSZEuvNzd6PzScZDjqhUzGreghVporRVQ1BucI7ltQ4XqFS74+k0hukHkBuXLX8GUtTirJKSUYxCiFgeUMob0wM+1orxlejQfcTVWsbtIMex1DdMTvBy4ub8QQnVqL92vh5VBnNqut+K63mOGwnyj7TVIWEGsxNcoiqIZYFxhgD+UIqYs5qZO6aSaFUhA+OJe8pzH8P7PV1FKo5Dkc8vLwwiV83EOr4Xr2sopSFzAFlz0Ce/HeBEAJT0ZEIds5JVKyXp1a4Y7SKAZ629Jqev/HuWgVln/KvihUep7fefb1P4qtwkoAHAKSUm5mgPLsQ4ptCiK1CiEcOTEQXl/q4/4k7+P4bj+KV33gSXxYGLruEY398B97YviewurjsK0K3OOqauxhe7OPsP4/wp/+5kO/85U/TLdYhjRDiY8BDwJdwmg9/DvjstAo1iezuiLJjVrHcu0QyGPGUhYxp+Z/tEmNjPM9BPtRH7quyISvXlxTzGpQxs9p7kkF2x+axdW4X2ZwCmc8L6m8pV+T8eoRF4fW0GM6xZoWOr8QjUC16MJxT2PY3ryyRU1QlEqloNcvEt6oxmnJeiNLQuw2rl9If6QEgUKNIwYhVX6ieANJa7rqUHE9A8ZBRbdJa0YCLlYTrDfg7Jtx2qSJaGvZVXRBn32NDDsde+REzXFhf5D4d8LXnDCHBkKeJAW8zyXFylvJkhU6TWb0gx1DEOX4pVPZ62+lvWAaAooDVO34bBKWG5wMgqviRQkWqyoTl1WuFuQYsHaMkz00KpeBR3dsYKNyzdqnBK5z71mdqGGgM2Q141KJhbaKjoxY8OaOJonG3Jxlk29xGdnU413Db3OLkyNhQYUvRwJw4fC6tVzdUpRDjfodkxgnJHC9PrWI/amUmpCz5HqlVzbPeJz5g6/gMlZGlLWyfXdsonCrqNbBSUkpJ7rkTQtTjk/s2TniHi8ukMpod5ZrPvY7hN76LtQ+m2bwkTs8td7Hizf863aK5HGEIw2bJtXcj5wV5zZ2jPHTtxXz6dzdPPNClFhcA3VLKdbk8qfVSyhOmW6jJQAIjQYt0jRnh0SphRXlGjMpJpFHdj255CCs+VJSqIVnDVpzhkF01BCk1Z3bFMlWoDHod74IxZsxg3EcgF34zHCzfVzWlVghRyPMa9CTJ+pOFz9KzEoy0lStI+b2VhiuNDY2rFaKX8jnGVVr1VDUzs55cPpGwMWso6t3ehUih1CyOpKCQqnId6iVptiIiaxiyEuRNnG6tEX+Jp0tpyyvZRRmqyZMyQgxb8UK4Ven1HSrJqcpfQ/8YBTpvjJeOS2teLKEXDO+sMApKuRQqUujoY+6JsYYb4Nw/ka4qZwD2+LsYsuLOOCFAKKRzlSstwyDqNWoXehGirMplKSHFixAKe32VmS3jlVbPG1CKEFi6itAM9vq60P0xMmYITy7lIG1qKAgaAxYNpcVqhEBXFAxNIaurjnwl929Sc4ynbK7nWrbk2Eb8JllDLayfLQmL1I2xuVbVS7ik9FDZOikjxJCdLFkmC8cHTu7l3vZyo7xp+dEsN53rNWQ31DzH1ejyl1dpHgm0IaJdVWWF6uF+qhD4FRuM4j3qqxGeaWkqcb9FJGSPaxROFfUaWD8SQnwNCAkh/gWnKePV4w2QUt4FTHrlJZcjm4ce+TU/evVyjr76byga7HzfxZz4g7sIJw6s6aeLy/4iDIu5378TtTfEW25Ls+GXH+SSW76BrOIRcJmQR4CprT89A9g6v7JCX7aGUgEU9JVyQ0aQ1f2oQmF5sBXFiCJwcnbypDUvfe0R+mY1lG0HYNDfUl5sQYCmqMR8BjGfWZEzIoWG13Bk3NXWUDbjXgtbMWhUwzTanairFhaWp8I26UjRoJQoCNNLMN5KwFOUPygqK4ON+O3cmCK7uoueJaWacifyirRzvAPeyvYdHjNBU9CiKVhUoEu3FFcDZedfGydk0dI1vGZRSe7QGjAUA6HoZe67rpivTKHd21VfjldW0ctKaJdWbMyoVsHDaOkqUa9RCN3M5/BYOS/lQMxLZ9BRrofNOPHWsxjNhZXV0xJAVQQBpUr1thrhbB7bxm8btEY8BM9aDcCQJ+nIZYdQFaVqoZeMpxW/FmXISjDgba0w7IQQtHnmoFfp2VUZFlkcm9G0siVBr008EsIKxOiO+woGZTr3THkMrcKzC5D1e+nvbWRrb/l9VSuccyRY3UAo5EEGmxm2nOerK+YlonvBDoFe3fgpnXioNtlRmu+YKrlvNSFY3pooyTdUSRlFg39UD5AMWgwk/FWL4gjLLFnXTzAcZygeY8SMYLYtqlJN0JEtrXkLYamzrSZiit9xY5ILF2wo7mvcdhFjfnOzB7nQyUTUW0Xws8ANwI3AbOAjUsr/dzAEEEJcLIT4ixDiL9u2bTsYm3Q5AhgeGeC6y85h9HXvZOGTozy9Ksrsm+7k2H9+z3SL5uKCsCx6rv81VneUf78lQ/p3X+ANP/o4mUy1FHuXcfgUTqn224QQN+df0y3UZCMrqqxVGud5PWl3e22viRSQ6koivQlmtzXSGfNiampFvlLW1DA9raRVRylXc96AAW+lQhqwdBQh8BhawZs04G1hd6ikapqikDW0gidk0NNS+Mjf3kCqubhdn2IR8wZp6VpEVPcWwu9CpbPZAvAnsTx+lJynK6h4qhaL2NEzfp5NgxoioEcYbKg0APMz4ykjzIC3nWHLMXSzqsKw3Ugi5K/w0kA+l8ZR3vLXRSyoNJLzGPFuoiFHSRyKegvFR9ScRygZ9hEO+BGJObRHPHh0rWaBj2qEcudwxO9hMOZjV1e0rOrhtnkNDOXkU6sYLF6t6ElpOfNcYvPOoMXbi6YYDHhaSDUsIW3bNHtmFYyyZGjfCkg1L+kuey+FgqkpxH0migDLdGQY1f1ko93gq35dU0aIoKcbRSiYufDCed4kHVr1ELH8WSz15A14i7ljWcUoXONtnbPYkwySzeU8qYoglvOGihLlPWNq9NfoeQWQic5he8NKRoLVw/iEBJ9qYgqtpoeuOWSza17O8yfUQhhppxUjpHmcI/OOF6Ja6vkVZcvyHrTcQRb+bYt68RjOPdmiRmm02mjwzS+eA9VAVQR7G/2IBbMA0EvDKCPBgncsrfmI+y1QnHBENbaGWp6s7a2zCmGpjQEPvjHGZrZkkqg7EMYSBm1mlUmpMd+ju2IrOGrVUVX3ORlMaGAJIVQhxK+llHdIKT8gpXy/lPKOgyWAlPLrUsoVUsoV8bjrdXCZmD/d/FXuPnkly3/2FDsSsOfy93DWd/9ArMoPpovLdKF4vXTe8Gs8c1v5t19kiN3zA175vXcylBqdbtEOJb4DfBq4kmIO1uemVaJJYtDTzKCnpcwYAUf5qjbzmldNvBHnd7Na/kJW9zEQ6iLtL/d8pFrKCyzYwkC2rCxsVK0yC1/N/6rlvFgNdg9SqJi6yoLQsaRVb0GBFQI8lkXKazIS88LiLtCKClK2u4VMVw8LYgtYHkti5ZQiBVGWEJ+XaGTBHADiqqO8JdUInVa0WFRACLbO7iiMC6slSq0QqEIhrMdh/rzC4oxi0hVzjLu4z2Rec5CUGWHI4yj1BTl0DzQuqnImimcnb6Sp45QiV83i+c8Y5esFLR1TU9EjbWCF8JgqlqGQMiOEPQYtDYuJ6b5cPlSRlBGsaPy6raeDPc1BsrqKUapEC4GmVN4v+RyjxpIwN8WyEJ4Aav7+EiBUHT3WwciSo1CEwpxoD8saF9HkrTSC1DFK9FDIjz1/DvGWWME755wzhbTXed/kS5ZvxNdU8GCUstfXUSjUMC8ZIGF10uqZgxKdw6jdzNjbOKjHCSxM5iYQiseYMmM0RJz2LfncuMGoF1SFwbiv5OqKwqRBqr0RPCWTG0KAVtymRJTZD/mGzMvbwywzuugaU3AmYfhQhVPdLxRrYsiuPJcDocoe62XPZck1zRiV19dUFRoDNgnLR6/dAEI4YcI+5zunVgU/AKOnC0Ox0RUT39jvIyEwDZsmNUxCDdKkhZhtN47xIAnQ1GL4qaLQYnXhSTSWrwPs6mgmaiRpU+NoisBv5uTy2GPWBJ+l0abHsKvczztmJQgIm2zOaFwxrwfDO4OqCEopM8CgEGLmdddzOaJ4+YWnuPGf1hC+9It4hySPv6KLo3/yZ9aef/F0i+biUhXFtmm//hZ8y+bwr7dmmXP/nbziutexfWDvdIt2qLBdSvklKeXvpJS/z7+mW6jJYLcZYtiKkVFzxRgKBgM0tnRCwFE687Pr+VCpXj1Jq9XleHxKFJqsagKC/sCsMsULirk17d55rIt006ElSIeKM/C+ahXuhCDqKfdSZJa1ktVUGucsYH4yRMjWESggHA9BW8hLzGeh+i129cQYrOJtkwEfzYvnlS1r052Z+O1zGtg+r6iADa6eTzoZY0dvomB0GkaEYHQ2WE7FwiYjSbd/aSHcr2h4Fs/NcO8cuhv8eGxHYdsVXlz4zG/pxI47plAKfI63gYaSwgS1wrDytR1t3elnVK2y9q7OKBnFIGDUVqcCs4vGsNHuhJRpikJiZRdBWycWmUW7J4bXUAvl2kslKP03q+j0BYuexZ6SqnjLfeXhao1qmHj+OIUg7DWI+ozCe3DOoC9XAKTJ7iLrC6Cpgs5IDKNGBcWg4vQfAqdy4vZZbRgt1UMdhxujhK0wnjoa0WpCxVSca9EW8WCqCooQKEIha4VoW7CIsMckWxKqGrdaOeGYi2g4YRWJ1nIZ0rqfvb4OZC5kcDDmZW7wKCc8LUeqp5FwzrOSiYXA8JX3Q8t5/qxIc1mOoq2XVKg0VFa0xipKjiuKKHgD7XATwYbKMFWAnR3JqsuBssqFUsCWRe3smBWnR2vEPG4e/vWLsXSB0RDGoxokgxaN8VjhmEeMMP2BytxLAFnifeu2nG3macs18fUoXhSh4Fc9+PwJIh6dUHMYKVQyikEmEmAgGWdvIkywt4fM0etIJYvnLxk0CyG4Pj1UmBTQGsNkOmsfd3vEQ3tpCfhQG0N2I1LoBG2DYMBECMrCo6eCenOwhoGHhRDXCCG+lH9NpmAuLnlSw4Pc8MHXsPGsc+h9uI+Hl+r4vvIVzv3sL/D5XbvfZWajmCYt3/4RvrXLeMsdWVbf/wivuv5cntq2ZbpFOxT4qxDiU0KIo4QQy/Kv6RZqMjitdwk9/mUsCB4HQMTvIxm0iXVEEEIhE3M8VZbHR8xnYmgKAVtnXlOABckwEY9Rlr9TUTFMzymtfkfJHgnaDPXOJ6x5K5S9efFi+NZArqhFUg+xIFxehtvwmfiP72bpKWtpDlSGJ3lVk9l2A1rEUc50VaDnvEELm4vf3a0RDwiBf9Vcjl1/Cu22M6MuVQV0DT2nvEvbMaq2Nq9k0OMoXFmhFYzPzqiXpJHEUj0Fc8PQ8jF7gkFPC2nNy3BjJ4aq4DM1GtUwY/1zajjM3KYAi1tDtAUCFQVCSn1HUgiiipPrVu5NKPe+7fV20J9oryj9XcpIWxdibk9xXIkXLN1YHoLmNbSy8D5LMTCFQVwplsbv8S8vqw6XbCnmueljCoTYwigrmKErSqHnWsYfJGuaZDq6affOY3Z4PpbqJWDpLG4JF3qyWZpN2GsQtHU8usZcqxlNKIxEljHoaWbEDNPjX1rz+MHJl1JzDWLz8wXNviTpaPlvfYtaer8JFEUpKOfixFNpWX80w2va8SeDtEWKz4LeuIC1x1/C3CUra8ow4mmkp+FcDMWiW2sshBtmEzE0s2hgW5pd3g/NdoyFlnAj63q6yVu6ilpyrgMtjvGlqkifs618k90FniQxw4+tWfis6jmXA/Hy+yBZpdQ6wEjIJmOYpD0GMTXAObNPYGH3KgaOXYS/tx3v/E5UxfGYRUoM6ZQZmrAJuFBE2Tpj+2TJxgTE59CaCLI00IontLxg9LclQsg5HazojlXsRyu55wB2hxYAYHQ1g2WSjQTImjFkzjuX99gKIQrtK5wNmQUPut/S6PbGOLtt9rj98iaDevf2C+C/gLuAv5a8aiKEuB64B5gthHhRCPHWAxHU5cgjm81y+/99iD+vW8H8mx5gRxw2vfsczv/eAyxadVgWEnM5TFEMg5avfhv/Ccfyht9JTv/Ti7zpZ2fz22cenm7RZjpLgTXAJznMy7Sval6AVwuSNUN0zFuJHkg4IXghm4F1y5Aek8ElTsJ/Pq/B0lQ8hobujeANNxBNNBPyGOxJBiuq/OGJQuNCMPwQakGuWMOcJSUhRyXer4TfKtgc+dntqOpHU2qHvS1vWM7a5rUsaS33UnlUg6jXIhmy8fqC6IrCOUua6YpX5qMoho5i6vS1nYyKgkcY9OhNBa/J2LA2S1NJLSx6aIqpJQINZ92o16I57ENTnN5eewK9UGJcVIRWNi9HKAqh008reAmzzdWNIksY7Ek0EY3mPXDFc95khdixuBWp5CoPCghEjyZoNKGrRs2MqtKkfaHXN+PeErIRKDQbTWVVED0lPZ0kKviKaRh2jUIT2ZaGMsMO4Ph5TRz9xnMhEERTDJLeFs5alGTd7PK0jqAZZJEviampZQaCVHRGTZvNi3vxapUGQbvtXN+I18zJ7WFZwzK8mmNU+Qw/Muc91YVKtx0rb5qdP5kr1zA0qyQXMIemCOYnAyxtrZ0nVXYOVIthTz7EVTiFUYItEGzDt34dg6uc690TciYiFujthFpfDb4EtKykKzqX5Q3LyDb3MNrZRmbBLHy6s2+P6YeOY8gsmsXQwmX4It6CZ8XWDFqsGEsSSypkmm2V5xh1RL0c3ZQkqFXmvvUtaGX3rHkMm3GCuSIjhqrTEexgbdMa2qwIWrjomQvZOi2retnT4Dy7mSXVvVjgeHitXDVLs0bDZ9kUx7t6FVrQi6XoeIyiMWxqKj0JX5mxk80ZqdrcVobndTK70c/eFUcjx4QsvrTwPMRp72Z+qBWBwkCk/P7rtRPOrZC7H0asECBoDjXQatZ37Q8m43buEkK0SSk3Sim/s68bllK+Zv/FcjnSuevmrzLwP1+mY3OGLVHJo+d2cdql38UXqq/PiIvLTEPoOs1f+l9e+tB/8Kqbf0Fizx4+KF/HxTs+wVtXnTXd4s1IpJTrp1uG6UAxSypylXiipKFVVcz15mYS82az5Q8/JU0S/6J2Zj2X4ZkdL6PllBfF40HoQdj1JNhR2js76Y772PTEwZFZV3SCZpCgCbauMjSaKXx2Sus6GIV+3aAvWqkAj0UoKlLReUXjPF7cNURWFUj24jN87B7eDUD/suNYI/5K75LjEUaQwQefh+GtgCSrGyyPtZJK7UZTFMyGWchEFHYX92GoBimcXC+/FoIMJObOwupylGehlRgIY4oTJPwmew2VJhlmeOn5tG7fxkZvI1FfUWlc6mtjk5ZmkE0AxMwWslYHfuPZ2jPbY2b0ja4uhu8Z/1wlNB9KzhCUikZmbhfmlhdQRp1taapCa9imI6aQz/4UdgglkqTbbx6JSQAAIABJREFUjvPMUHlxMRkNoeOB/g2FZaExrQOEqOyDlmdsmftscwIrrZLSbTKFUtslHkBFodkOYZk2Txhq4bNGbyMLm0M8uW2oOFmg28wPdMLIHqz5ER5/tr9sa51dSXaqNu1RD2QGyuSwdI2G6Pihhw3NYZS9Q+waSDnHoilsaVxH6EUV1dhGd2QOimEUjD1N0Wlpn8VLjccTGErD8EBZmN6q3nO4z38f2CYxs5mgHiNgBMAIsKnlTAK7H8eY1wJPbR1XLoB2M8ra0Hr+sOkPuVBIWOZ3isUYTVGGOpKI4RSB1Au8ctZyfqr00L/z8YpGxkGretTPaFsDu6VO/tsm7s3nWQlnckK1mNvqxzIMrGZBy3MvsdtjkiYX7l567yoCLR6HVCewgVpk8/lYQgGyxBONZPwB/IAd8rNn+VF4s1lSimBL4wlkNBsdaDAcL21K96GtPAVDCEb/+ouCF1kg8Bgqg/4GOGMN9uCLE57fyWCi1sg/BZYBCCFulFKeN/kiuRypZGWWO+/+Pts//1kWPjGC4YVHTgiz+r1fY33Pwok34OIywxGaRtOnr0JvbmXt/32V+J4Un5AfZMOOJ/no6e+fbvFmJEKIM4H5QGGqVkr50emTaIoQxbLhbYE29JE97N29iRS7CqtYOY+OZ5kTNTn/8fk8uesJvI1tNGwdQE3HeS6XF6L6fQhr4kpvo7aJ0HWyHi8xs5ldqS3AaK6Us2B2ZDZycN9yCDVFA6EQ0X1EgpW9iMYytynAS89bxHw6m3YNoSsmTd4mOhLL+O3G3wKQDsbQl7ylMEYaGgzD3MYgdks7fnsJe+/5C32ZIUAgA76CgXXOkmZGMjE2+W6nb6APUwtwhjf3GzNr1sTHoyo0BGy2sBjd0wpsoyvu46VYdaMjqHgQZpi9OAUkgh4d6jiFokphhzxR3cuO0QGazBDpbK5ao50k29hDqreJxLbdpHTn2uuqgqoUDazBQDdi1gm0DO/kiV2Pk5JpvHf1M2LFHaUwfxh2uTeyWqsJNRQis3t32bJ01IPaN4wtVfYYOoZUIFO6hiz0d9rR3ANpCValh8Fn6o6xlGNk9dGwI4zH8xJ6PES6UWNz385CQyBLV1nbk5uEzVRsrgxd1QhYOnHdIm3pRDtaaF13IXfefS3aAxuRusGilhD3P58lowdYEmvE760spKWFWxk1gswLpWHPC8UPxhjLx/RUnxwO+C12qCpk0oAAs3qbWV1TWNUZZ0BpRH3m8bLP7O5msl4PBLwwtxFdU/GO9X7m5Sm5humWZrRt/RX7sjQVv61D1PHQdcZ9bEqehnXf3c6mNBV/ewNtIwGejcYg6oH+PYXx3nxLiebl0A1se6zqMQ3rYQY9zaSt3SSa2jHnvRJecJ7vo7uj7BkOoj3nRQOWtzVz33OVnZ+sxYswVZPRv/6ibPm8JscIC8TaEBteqrr/yWYiA6v0DqneGc7F5QAZzY5y613fZvv/fYWVD40Q0eCplSZz3/kZ1qw6ZbrFc3E5qAghiL/73WhNTXD55Vx1bZrLz/82b939JF+94H/Ra4TuHIkIIb4KeID1wDeAVwP3TatQU4hftVji76AhMhd1cAf4NnFPbkZ4jqcRq0rlQCtXrUwVCiGPgrRsImtWYTc3MPzkUzX3ZQgnH2TY7yVw6inwwCa8WpD2UIyXtc14Y17ErhS25gHVwL9yLgw8QUSrrhBCzgtUb/+3EoXU0BTaIx7IpkmGbHYhafI1YFUJh8rT7mlk71A/TSELPEUvQ6EU9apFsLGo6JmqSbRxKS8OvkhGG6d5qmai+iorHHsXdTM8WllRMN0zn3TMUe4soTMIeDSD1OqjmdcUIPGiYzAsii9m666d9AeDsK2v5u69yxYw9LzjBTuj6wz6HnMUya6mDlp39mN1NrH3hT0M2REQCgO+DnRfHynbhIHK7fU3lSj6Xetgo4StjwBOw+qoraOn0o5yHSivZNeT8PHynpGyUuK+Y9bSd4sjk9A0JDCa8DHSGaUlvIBY316e3agySnnlOaEoWOtnE4nNhqcFjJQbadVIN0QIrDwFMbwLkKwdHeb2p+8jkdLKPI6lODlKuyqWJzwNjAYaaOich/fMCwvLTzz+Iu5u2MLukfruW0UIzlni5CmO+nSGHn0UOZKqWC/qq9KDaWwOUsSPkViNOXs2PO14XbyG01bBydtSCHsMBvMDmhbDSw9WlWt2g4/+jB9q3VqGDz2aQOYMrPzvTsxsodXcA88Bnhi0LsHY9jidcX/FpmJ2nK32ELsMBcFeEILmgE20sbxZcU/CRzIzh6bmtdz70r2F5QtbQtw+3I0pnkToJujF59vUVExfMQSxKThBg+Pkctj0EBTPDr3hXloDrcC9NYdNJhMZWLLG/y4uB8zu4d387M6rSX3rWtY8PEq7kGyZr5N88/s458yLpls8F5dJJXzBBeiNjYhLLuHz3xziynP/xIXfOY1vvOZGwvYR11u3FkdLKRcJIR6SUl4hhPgc8JPpFmoqSVoRqJL7pCAqFDSAVn8ryaZV6I/di2lTUP5qkS+UoObzm8Zssj3qpznWQMDS0Re20/9kv6MMKCqnxpaiZCrbDiwIH8WuoUE8ywTWBAnzNdFMSKVpiMWw2idwRwDzg11Q1gKhvKqelJK432TbnpHickUlrVc2SC2jaQnzjjmNtuE095ZEcmkBLxniMKa33cjieSR0P+x+mSYzgEeL0uP3E1/QjND1gpKqCIX23k7Slsk/nu7Do2ukk43IMSFVWs8Ksn33lpcEB+zZbVjpNDKdgVQL2ReqGyhGoay2c276WhooqKreGMITAW+c7q4QSrCFQGKA9C6AXWT95Upt1Gdy9uLa1dzsZUvRm/eQ3enklgpVwY4EkOGl9G0bLq6YM7oNU8ewDFCcwK5aCCGYH5tPyAw5hlTO4O0G3r6yjUxfX6V3VjU4PewUSeivYmAJBNGOdYhk+fEoQkHRdBhJlTxe9am/ejLJ8OOP75OyLMb8by+qNNpLHyEpJamuJOqOcs/T6Z2n86vnflV4H7ZDBGwdVeSvYeX5Xdm4kvueeBpwJhy6Yl6WJ5IEtz5TNKaCzc4L8B17jLNsY7FT04LYAnZHBC+L7U4vs4ZZqF3HFz5Xg0GCtkHD3GMwzfLwxK64jzXZCBv+qqOP462toHk5aSt3j+WPSzMqSvkHzMDYkVPKRAbWYiFEP7nrnvuf3HsppZxe6V0OOaSUPLz9YX7y26+RuPFOjn0kC0Kyc55B/KL3c9KZb5iwgo2Ly+GC77jj6LzhRl78t7fzkes38N0TX+I1meO58sSvsaRrzXSLNxMYyv0dFEIkgR3AxDFmhwUqkAVv+Wxw1lChxEYgWN43SxEqYTtWc+J6LAm/STYrmbdsCd9+8bf0N1V6a6Kzj4EX7y9+N7eshLknoapZGKpUXk3VxqvpkFVRdA2sIFghaKqsIFet3w/gVD1MDUByCfxj3Jpa1WldDdyNqWigGkTtKJHIFlrDE5cAH0thNn3iVBkAlsUXw+7bgVx1PoWqv2tmzyzM0T3MXdqFufJkREMXv9voGFhdoVzQkOmv2ntLqApCNcikh9EUhblNAR5/qTLca37wKI5TVPp4tDi2RBav4WUk0oXnnGNQ+vYgdt6DHg0wmAgTj7RWbG889EQCImfDH8cU74nGSA7OKilw4ZggjVYEzd8CFEPrSs9SxIqwfWg7lmoRs2vnX6vBKnlFuoWYcyY8+Uu88zsRS48r/7ghwWgshtVb2VtqIo5tOZa+kT6guvdoX+iwYvQrLxPU9LJ7pDc0jxfUx+iyIgQ9Jd5d1WC0rZHRtkZKz5YQgtVNqxnc6Xg7I1aEE9tP5L7nMjD0UlmfOOevgiIUOgId2PFunmCUiNekOWzXvM8L51mzINgKexx5Wn0JXs6v5I2DUXzGjO5utEQCNVDdXLB1rSLHb0L8jYQDC1EsDUOtNlZgqEahpP50Ma6BJaWsXTLIxWUf6E/1c+tzt3L7r7/J8js3ct6jEiEkQ3NNohdfxsJTXuMaVi5HJGZXJx033MDmSy/lol//jr9uTHFJ+q38y6zX8bqTPjTd4k03twghQsBVwN9wNLOrp1ekKULV0OcfC42LyxZHVi7h+W1PoD6bU5ji1St+eVauQBgTKy6KECRDNngtts9qq7FSTlVQDYSuOyFQqgqGDUbtEMHieBVmnVSxeFPzGeXf+4YX4k4jYewwDGyr2XeqgryilS+yYHihdRV2Zpj13WdiazZ9PFb7Z6b7hLICBePScyJIiXh2pOrHY8veA9VDJTuPQ2z6M1a7gFzOTL4Rq6VOnC8HoHotzFA3PPPMBGsKLF0jGbKJloT4LU8spy/Vh2kHwBco5DOdMufs6scxEZrBKn8nm1NFj1p71MOGHe2ks+XevmXBWRBfRB8vFCpUaiVhr92hbpK+JB59341iwFH0Z52CNrgD/OWeSqHreNesrjos7DHYOZDCzFdTHHPp/IYfv+Gn7yAYWD7VZOXRZzDy17sobZ7W7GsFLYZXMeiwikVW5sfm05/qpyPQAb4W5xkJOz2zonaUaIlRYaomy1Yfj7blAQjkPNmm33nGwh2weRshK4xhBHDmroro8RA01GgpMPcVIB+DPc8593UudHfYSmDNKy9iI4SoaVzVTbS7YpEmdIJ6+eQTwRYwN+H1NXJ8+/RXmp7Ig+Xist9kshn+/NKf+cmTN7Hl7ts5894073tWktEk2XlBQu/4Dxase9V0i+niMu2oPh8tX/4yO7/1LZZ9/vN86ptZPnfO93l08x+44sIfo9ejxB6GSCk/lvv3RiHELYAlpazLOSOEOA34Io4r6BtSyivHfP5e4J+BNLANeIuUckPuswyQn4bfKKU8+4APZh8ZWLcMT0moTZ45oXZ6ek5icMuPnJwFu/osrd5QmZAPMDsym4dK8hTqItgMyaUQ7sAbTjG6ZQtKHcbbRBiaSqo0xG726cX/Gxc6ClONqmcVRGc55dfLlDEBugd7vByrPJ7KJsg1KZzzGsnzpg/ic9iBFz/lBQkCZ57BnltvRWayTlhTy0rYcE9RAa5Bo7ex5mfWnDmYXV00bdxOxPSwuTJqs0ByTC6LrupVvUPqOCX5x2IvXIDiKRpBMd1HTC8aBX5L58xFTWzaPeT0fBqpdJEEzRCLE4vxBUUh7FIIsf/GVR4rUGhCXS/zkwHaoh78plMIo3vtMnjmybomLAoIgZ4z9qs1Tg5YeiE/Sk/E0JeVe9Ia/BYjPtOZ/Og4FrLORdUVneNaSrxx7UeNK4bXF4Cecu8djU7opNAdAYRRzPvNh9x5ZrfBwtq9wspQNTa1nAktYHaNfx+PJWpH2QL4qvTRA2Dhq+veltRsSMytGlI9HbgGlstB57m+5/jZ0z/j54/+jDkPbeUV92fpeBmklUVZ20bz+z9GYK4b/uTiUopQFKJvfSueVavYcMklXPG9zfxszfNcNLCaT5/0BVpmnTzdIk4ZQoiVwAtSyi25928EzgM2CCEul1JWlpMqH68CXwFOBl4E7hdC3CylLC1n9XdghZRyUAjxduAzwD/lPhuSUlY2o5kiTmw/sXKh4SisItyOHmyGWPXQJr25do4MFHtJRa1oxWezA6swDUe5TfitQnymM8AxXBTbxuw8OFGax/XG2TlQWRAAcDxb+2L0KArEeiZebx8w2ttQvPs5udG4gMzunCEhKXjqhBCokSjpbdscmTU/9I5fzOnk9pPLDZ4qYVHCMJjb41z7cP98hkaHeXIAkiETSiIHj0oeVVD8DxZGe3td6zWHcsZd3vE3xp3Y7Gsmuz5KdmiI6UQI4RhAwPo5CSABc/f93gqaQZY3LK9qwB47K0baG4PdlSG24JTB74jm7j1/9cmSA0VvToLMojc3w2an8b2c5HILbYE2nt39LGquF13MjnH0K/8NdX+fsxmMa2C5HBS2DW7jtudv46Z//Jw9zzzKyX+XfObhLJ5h0AIZ9HOW0Pq+T6MmjpD0CReX/cReuJBZP/sZL33ik7zqpptY/WSGD29/F+fNP5qzzv5fJ/n/8OdrwEkAQojjgCuBdwJLgK/jVBMcj1XA01LKZ3Pb+AFwDlAwsKSUvytZ/8/A6w+W8AeKqVa5xoZnwtncwKmnQI1qanl0xWBV0yoC0VxoYfcJMOzMZJ88pwOv6Sg+a7oi9LVNbg6D19SKJZ3HwX/C+ooE9gnJKe9qeP+PwV5Y3h5EVdSq3jC1sRG21khcqRIa6Fm+jOzQUNUy7Lqik4Uy46Oismh8DjQvgU1/q7rL9oBj8HQEMpikygyscJVy6FNP+TnxrFiOMJ17XrEslDraCcxUtEQDqQ0bClUNG6qUdgen1L8Wa4fd/4BAEl5+ZCrFBBxD0mjdtzy7A2VOZA694d6y8FM9sg8TKaWMrcKYmzxKeGqENk4xroHlst/sSe3h1xt+zQ1P/px/bP4LK57K8PoHBXNeyIAisdsVQuedQ/B1lyHcqmguLnWj+ny0fOqT7D3jDFL/cSkf+N4ublt+Dx/ZuIJLz7gKX+9p0y3iZKOWeKn+Cfi6lPJGnFDBB+oY30xp5rzjxaqecOHwVuBXJe8tIcRfcMIHr5RS/rTaICHExcDFAG1tNfKXJgtBRW6IGNv7pgYezS4qOJ5IwVNUWn5bCIHR0owW2/fm7mKcinD7Q2n4Wd0yKAq+Y48Zd6z/5JPY++Cmurd5asepVZebS5ZiaQo8f2vZckt3jFUxRhEUmobqr169cEXjCjb5nsZQxglH00yIdNU0sMr2P7qP10I1IFPDq3jQcWTTG2uHP85k/OvXITPlFS6tBfMxZ/XU9yzaofEnTXpOmvLcdIGA2WdAenjilfeT/crtK0EoCguag2jJYkEevSmJ3LCBEzrWYRoHGFZ6kHANLJd9YiQzwu9f+D0/eOxmHnrpjyx+JsUpjyj8xzNptAzo3jS+4xuJvfUStBWv2vdZRxcXlwK+Y49hwW138Mwnr+S0n9xA/+NprnruEk5cNZ/jzv7fSQsdmQGoQghNSpkGTiRnxOSo53ermlZSNfZFCPF6YAVQmvDUJqXcLIToAn4rhHhYSllRRUBK+XUcjxorVqyY0lYm/vXryQ7uYy7VPuJZWln1rx5WdkZ4btsAtrbAScI/yChCFIyX8ahaXa50O6aJNA7cIyyEqOqNWt4eZnPHInS7/n3Ymk18X2bgvZVVHw+IWSc71RsnE18DmAFomDe5+5lkqoWPCiHqauhdF9M1MW14yioBViXvKT/IOp6qqHRO0Ixci8cJLlqI0VqsoGotmI85u/eg5IYeLFwDy2VC9qb2csfzd3LjE7fywov3sPCZYY55WuGdz2WwUhLVHMXfC8HTTsI+9z2I+KzpFtnF5bBB9Xnp/eTHGHrthfzt0vdx4W0bePqhx/ifR47ldSe/ifix762/0tqhw/XA74UQ23FKtd8NIITooXbrzFJeBEpjX1qAzWNXEkKcBPwncLyUslASTkq5Off3WSHEncBSYKIybVOK4vHsl2dnKvCZGgtbgkCdBSr2kaWtIU7pmgmTC+N7FwxNITFvEaObNx80RdS7ZnXRsJ59eqGC20T4Vy+A3vUTr6jbk/99ouoT5p25zGzM7m7Hy11n/l291PISV+y/q9wIE0KMX4TEU5lzOtm4BpZLVbYPbudHj93G7U/ehvnMg8zfMMqFzwi6tzgJ0Ko1iq8lReDoBXhfdTFizunOl6aLi8ukYC+Yz9G/+BX/uO564l/8DD03jXDnA9eh33kdZ77qP9EXv/aw8RhLKT8hhPgN0ATcLmUhkUXBycWaiPuBWUKITmATcCHw2tIVhBBLcXK9TpNSbi1ZHgYGpZQjQogYsBanAMaks7Q1TNjrfo+Oh8/woSt6RdjdTMVeshhr7pyqHq79oSxkcx+qiyqmDjPUIHc59BCqijnrEJlMn306VMtrnWRcA8sFgHQ2zZ9efIBb/n4rux+8m9bnX2TeC1mu2AxGBqQAOzqCf+EwvqWzMNdfgFhwLvgPzdhpF5dDESEEvW94Ldnzz+V3V11J540/wvsjyU///nGiS69i3as/jLLg3BlTpvZAkFL+ucqyp+ocmxZCvAO4DadM+zellI8KIT4K/EVKeTNOby0f8OOcsp4vxz4X+JoQIotj0F05pvrgpNEWdRXgiSgrUT3DmBudy97U3rJlQlEQ9r55hMzeWU6VwYPClEauOvSeCqPDjidsyvK5DnE6joXh3ROv57LvTFObE9fAOkLJZDM8uPlR7v7dzfQ98GeiGzfS89Iob9ruaBRZAUSzxHoG8SRG8CxeiLr8PJh3ttObxMXFZdpQLIsT/+tyhv793dxyxaV03fkHPP9I8at7P4x/0UdZc8GlGEsvOFIqDlZFSvlL4Jdjln2k5P/KzrfO8j8BC6t9dqhjtLeR2rgBrUaPrMMdxbbIDk1e8v5EuSP1YvX2Qm/1Mvz7TK4cdt39xA4Gpt95udSPv+Fwzqk9KKzrTbBtb/Xm3jMR18A6Qtg1tIuHHr6Lx++6g8yjj5B8YRudW7KcknY+H7IE6YQgsLCfcCSF3eJFnXuC07G++wTXU+XiMgOxI2HO/+LV7Nm5g5s+9QF6f/Nngj9Pc88fP0F67seYf+o5NJ7yLghNbSlel5mJGggQPPPM6RZj2vCtWwfZ7ITr1b09U2MknZnqQm/7hmZA5/HTVzDB5YhgZcd+llrfB4IenaDn0Amhdg2sw4xMNsOmvhfY8Og9vPCXexh69HFCG7fS+nKKxDAkgFEVdsQVBuakCQYHSIaGMWJ+RNsqaF3lGFRNSw6LMCMXlyMBfyTKG6/6JoN793DTVz5K5Fe30vHHNC/ddwsPXvdT7N44LSe/iY7jLkSxp3Am28VlBiFUFdSD97u2sjPMroFRTG2G/1b6DnKlQZfDjp5QDw9sfaBqn7d6SIYOu0JLB4xrYB2iDKeHeaH/BV585kG2PX4//U8+gdiwmfjmAVq3SWKjEAPSKuyMSgY7RtFCKVqDw0RjOkrjXGiY7xhULasg2nPYJMi7uBypeHx+XnfZVWQ+cCV3/vI7vHT9d5jzyFa8T+1i+2+/wFNtnyXdGsNcdDqBFefQ0tlLU8BCUWbyFLyLy8zE1FQagzPcuHI5sjB8MCYPsB6SviRJX3ISBDpyEbJKl/HpYsWKFfIvf/nLdIsx/aRTyIFt7OnbyIubHuKl5x9n1+aN7N26nfTOvZjbR4jszJLcCdZocdiIIdkbyyIiaXyhNNGYn0B7O75kN0qk0zGoEnMh0OIaUy4uRwi792zjrh9+meFbb6XrH/14RyCtwLa4ZG9csCMSYVd8Hlsbj6MvOBu/xyTkMfjQGXMnTSYhxF+llCsmbQfTgPv7dWiyY+8Ipq7iM935ZpfDgGzGeWkzpx/U4Ua9v1+TamAJIU4DvohTxekbUsorx1v/cPyBkkN7yWzfTHbnFrK7Xya7axtDu19mz66XGejfycDe3Qzt3cPwniEyAykYyqIOgzUs8A2CZ0wBHgn0B2BPUGUwYJIOBjATrfi7e4n39NLW1o4v3uY08nONKBcXlxIGhvr5229/wMu33Yz15EaaN48WJmkyAnYHJf0BwZCt4Yn6UYN+FK8P1fZx3LlvQg2Gne+WwIHNdLoGlouLi4vLoUi9v1+TNmUjhFCBrwAn4zR9vF8IcfNklrvduGMQueclyIwgs1mEzCCzWYbSg4xkhslmM2SzGaRMk81kkDKLlBm0P/0dOToKmVHIpCE95v9sBkZHIZVCjo4iU6PO+qNpGE0jRtOI0QyksyijEmVUoo5KtBSo2dqhNwrgz72Gddhrw6ClMmSpbPebDOg2fXaIwVAL2dg8tJY5xLpa6G4M0Z3w0RbxoKuuEeXi4lIfXjvAsWdeDGdeDMDg8B6evP92tv/t9ww9/QRs3o69cwR/Xxrfs7uwRncVxmb7bkb1ZGH12+D0T0/XIbi4uLi4uMx4JtMnvgp4Wkr5LIAQ4gfAOcCkGVhnf+UPXJf+AAuU58uWXxkJ871g7ZKh130zjZGZePsZASndKRIxqkNKdd6nNBjVIGUKRv5/e+caY0dZxvHfn3a3pUtLt5SbLdLWFLUaQwtRUBEUwtW0ahtTIqEoSMC7aBRSP6B+8BpQAxERUCFC0UqgEpFgKSESWqDSlnJpWe7LtQgt4KXdyuOH91kY9pzdne2eM3N25/klk/Pe5pz/POeZyzvzvO+0wfY2saN9N3aM3Y2etjHsGDuG7e3t7GybQE/bRHaOn0zP+KkwYV/aOvZh94n7sffkaey9RwedHe1M7RjH7I429ps0nikd7SPmhYpBEIwsJoyfyNwjFsIRC2vq7PXXee3lbv7z4hP0bH2OsZ2dYD2wZ8xIGARBEAQD0cwO1jTgqUy+G/hA30aSzgTO9OxrkjYN50frv7zklQHXOTh9TAVeHM5vF0hobQ6htTmE1uYwkrUeWJaQZrF27doXJT0xzK8ZSf9pUYRNagmb1BI2qSVsUksjbJLr/NXMDla9xy41A77M7FLg0ibqyIWke0bKmIDQ2hxCa3MIrc0htLYWZjbsubCrYKehEjapJWxSS9iklrBJLUXapJkDeLqBbCzJdOCZJv5eEARBEARBEARBqTSzg3U3MFvSTEntwGJgRRN/LwiCIAiCIAiCoFSaFiJoZjslfQm4mTRN+xVmdn+zfq8BlB6mOARCa3MIrc0htDaH0Dr6CDvVEjapJWxSS9iklrBJLYXZpKVeNBwEQRAEQRAEQTCSiZcoBUEQBEEQBEEQNIjoYAVBEARBEARBEDSIynWwJB0vaZOkLknn1qk/R9IDkjZIWimptPe15NB6lqT7JK2T9HdJc8rQ6VoG1Jppt0iSSSpt6tAcdj1N0ha36zpJZ5Sh07UMaldJn3afvV/S1UVrzOgYzK4XZmy6WdLWMnS6lsG0vl3SKkn3+rHgxDJ0upbBtB7ox6oNkm6TNL0knVdIekHSxn7qJekXvh0bJM0rWmP9UpLRAAAHgElEQVSrkvf4ORqQdIDvWw/6MeurXj5F0i2SHvbPTi/v128kLfH2D0taUtY2NQpJY/yYc6PnZ0pa49t3rU8YhqRxnu/y+hmZ7zjPyzdJOq6cLWkMkiZLWi7pIfeXw6vuJ5K+7vvNRknXSBpfNT+pd65ppF9IOkTp2rrL16332qnBMbPKLKTJNh4BZgHtwHpgTp82HwUmePps4NoW1jopk54P/LVVtXq7icDtwGrg0FbVCpwGXFSGvl3QOhu4F+j0/D6tqrVP+y+TJr5pSa2kgbBne3oO8HgLa/0jsMTTHwOuKknrR4B5wMZ+6k8EbiK9I/EwYE0ZOlttGeq+M9IXYH9gnqcnApt9H/sxcK6Xnwv8aCC/AaYAj/pnp6c7y96+YdrmHOBq4EbP/wFY7OlLMsekLwCXeHoxfp3idlwPjANmul+NKXu7hmGP3wFneLodmFxlPwGmAY8Bu2f847Sq+Um9c00j/QK4Czjc17kJOGFXdFbtCdb7gS4ze9TMdgDLgAXZBma2ysz+7dnVpPd3lUEera9ksh3UeZFzQQyq1fk+aSf4b5Hi+pBXayuQR+vngYvN7GUAM3uhYI29DNWuJwPXFKKsljxaDZjk6T0p7x1+ebTOAVZ6elWd+kIws9uBlwZosgC40hKrgcmS9i9GXUszko5Jw8bMnjWzf3j6VeBB0oXjAtIFNf75CU/35zfHAbeY2Ut+/LsFOL7ATWko/uT5JOAyz4t0w2S5N+lrk15bLQeO9vYLgGVmtt3MHgO6SP414pA0iXQhfTmAme0ws61U3E9Is3/vLmksMAF4lor5ST/nmob4hddNMrM7LfW2rsx815CoWgdrGvBUJt/tZf1xOqn3Wga5tEr6oqRHSB2XrxSkrS+DapU0FzjAzG4sUlgd8vrAQn+cvFzSAXXqiyCP1oOAgyTdIWm1pLJOHLn3LaWw25nArQXoqkcerecDp0jqBv5CeuJWBnm0rgcWevqTwERJexWgbagM9fhbFSprFw9ZmgusAfY1s2chdcKAfbxZf/YZbXb7GfAt4HXP7wVsNbOdns9u3xvb7vXbvP1ossksYAvwGw+bvExSBxX2EzN7Gvgp8CSpY7UNWEu1/aSXRvnFNE/3LR8yVetg1YujrPvUR9IpwKHAT5qqqH9yaTWzi83sHcC3ge80XVV9BtQqaTfgQuAbhSnqnzx2/TMww8zeB/yNN++KFE0erWNJYYJHkZ4KXSZpcpN11SP3vkUKVVhuZv9rop6ByKP1ZOC3ZjadFGJwlftx0eTR+k3gSEn3AkcCTwM7a9Yqn6H4SJWopF0k7QH8Cfhan2iMmqZ1ymyA8hGHpI8DL5jZ2mxxnaY2SN2osQnp3DYP+KWZzQX+RQr96o9RbxMfV7SAdIPybaTIpRPqNK2SnwzGUG3QMNtUrYPVDWSfRkynTuiPpGOApcB8M9tekLa+5NKaYRm7+BizAQymdSLwXuA2SY+T4mBXqJyJLga1q5n9M/O//xo4pCBtfcnjA93ADWbW44/6N5E6XEUzFH9dTHnhgZBP6+mkuHbM7E5gPDC1EHVvJY+/PmNmn/KLkKVetq04ibkZ6jGtKlTOLpLaSJ2r35vZdV78fG/IqH/2hjv3Z5/RZLcPAfP9/LiMFPL1M1I401hvk92+N7bd6/ckhUyNJpt0A91mtsbzy0kdrir7yTHAY2a2xcx6gOuAD1JtP+mlUX7RzVuHBu2ybarWwbobmO0zrrSTLvRWZBt4KNuvSJ2rssazQD6t2Qvpk4CHC9SXZUCtZrbNzKaa2Qwzm0Ea2zbfzO5pNa3wxs7Zy3zSGIEyGFQrcD1pYhYkTSWFDD5aqMpEHq1IeidpQOmdBevLkkfrk8DRAJLeTepgbSlUZSKPv07NPF07D7iiYI15WQGc6rM6HQZs6w3pqDi59p3Rgo8BuRx40MwuyFStAHpn8loC3JApr+c3NwPHSur0O/vHetmIw8zOM7Ppfn5cDNxqZp8hjalc5M362qTXVou8vXn5YqXZ42aSbrbdVdBmNBQzew54ys8ZkI7HD1BhPyGdlw6TNMH3o16bVNZPMjTEL7zuVUmHuY1PzXzX0BhsFozRtpDCfTaTZk1Z6mXfI13wQwoJex5Y58uKFtb6c+B+17kKeE+rau3T9jZKmkUwp11/4HZd73Z9VwtrFXAB6SB7Hz6TUCtq9fz5wA/L0jgEu84B7nAfWAcc28JaF5FurmwmDZAfV5LOa0jjAnpIdwFPB84CzvJ6ARf7dtxX5jGg1ZZ6//FoXYAPk0JuNmTOsyeSxoasdF9eCUwZzG+Az5EG6HcBny172xpkn6N4cxbBWaQL3y7SbKHjvHy857u8flZm/aVuq03s4uxnrbIABwP3uK9cT7o5V2k/Ab4LPARsBK4izQRYKT/p51zTML8gDQ/a6OtcBGhXdMq/LAiCIAiCIAiCIBgmVQsRDIIgCIIgCIIgaBrRwQqCIAiCIAiCIGgQ0cEKgiAIgiAIgiBoENHBCoIgCIIgCIIgaBDRwQqCIAiCIAiCIGgQ0cEKgiAIgiAIgiBoENHBCoIgCIIgCIIgaBD/BwSBkQttPV4DAAAAAElFTkSuQmCC\n", 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" ] @@ -1220,10 +1206,7 @@ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [p]\n", - "Sampling 4 chains: 100%|██████████| 42000/42000 [00:06<00:00, 6377.00draws/s]\n", - "/opt/miniconda3/lib/python3.7/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", - "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", - " alternative='`bottom`', obj_type='argument')\n" + "Sampling 4 chains: 100%|██████████| 42000/42000 [00:07<00:00, 5444.02draws/s]\n" ] }, { @@ -1235,7 +1218,7 @@ }, { "data": { - "image/png": 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97vMfpwHVEsmyL5IFx2bhxl3M2NdFUziDYxhknn8BbccWsHTo3Y60ignUQI6S7iHe5BbT+I0Uvj2PuKVtwK6eFKuaItiJMDgOT+9bTUN6PV2JsT1beTPPqq5VbOjbMOqO4muWG9uYt1MpcuvWI4trCzqFAuXbN+IUyyDRklDYX+MV/N0Rgo0d+Lqjg4lhed9mAskI3nQS03bPlexLq90xKjDY+PdaBaR0k+7m8NjkT29qgu7NxHc8R7ZpFXZm5DYbWuOsa4mNedyAP2x7li35oXMxo5nolo1u2SPeQ08mjzCGElYpJY5tk1q9g3TjHlJ6iid3dfPM7r6BDShfv/+GcU+2xz0nHZuaVSvGfqdISPTuI5vP05/v3+9+ABpaO3hp/Xp0y0Yzh82O2LEe9j3P5s4eClZm8L5IX6d7Hlo6TYkmEvk45tYdiFyBfO82+tpXuaWp48iuftl9nw7Gsd1zGffixaquVaT0FFZfPZHU2Pcxq49KVpu60HsiFJ74DfTvwuzqKL4uEjL9mC3ueSJMi6TmNtM74nl2dCVpjozcf1ssjzCNcT8PbqwOlrSZltzFvJ6noGOoaC1nJvCMSqRJ9xYvRoyzv33Puz9Fu3vSrGxuGyydHrxWkO7e74WJtT1r6cx0EtH2f95OlaksETwViAD3CCHOBzYDn5NSjkjzhRA3ATcBLFq0aArDUZSTw+M7uvj+yu+QrlrDVR0mNz3qw1c5jUV3303orLOOSgxnTj+TH7z2B9x84c38fufvebDp7zzhSD7Z/j1eWHIx7/O8m97rPstHn72b1ve8l4W/+iVlr3zlUYlNOTEIIcqARVLKQ6slO4alNbfRWWEUcAoF9JdfwJRhGkWYBU4t0nQbFp5iw3p9S4xLAOxxpsl2TOjfhWa4ZU15w0KzHNa2xOhOFrDGSbBSuns1fXN7nELnDmZu68Y370Li868gVTA5ZZoPOtdD7ZIRjxto25R3hanY3EvuTA/5aWfy5Mp6LlowjXmnL6ItliNdMAfLA432jqHj5g3qe9uoKE8gvAGwbEh2uOOl0m4yiZYa8Tzru1N48jmqtq4nDpTHU5Tt2oZ16msBsKIxdzLUYoJqS4eGQi9nls+mu34l/WmN3IJFzA+vhnk1xeO4Y58qevaQXbuK8jMXUSgHCI24kj+gI+M+h1ih2HgbSCLS3VBX5479Cu+iKeql6szXMacqQOHFf2BTgx3uxufJofdpeLMZiIZhYF6M5ufgvHdRsAq8sG85y4wMM/3FUqhiw14YBRhW5Thr+2bKKjOw7IyRp4GUPL2jg+p0EwEjAaddz8aIl3jOYHZ1kKrQ8FLJoSRIxNNkX1qNcPJUXLWEcUf8OTZBPQ4Vc1jespyudJyKUT1ku7qShPbu5pLLL2BDy3IumXMJZZsbkD4fvOLtYOn8ZfuDzOlv5RJg68bHyfnOYWcyTm1gNpLz3fNhQO82ervKyVUMlcduC28jgIdQqpqa1C60zRX4570P0zExCwnIRYi21NMfquDsOUPjhVZ1rWJh1UJOqRkqycvuWkEZsGLnAgAuPa3YDyHdGPYkN2DYDr25chq7dxLqi1Ntu8lxU6KJfeltnN1jEaQXbY5FyiowZ1jjf3tkO7PLZ4+YQVHbvZsQkLcNbCNDTV89OSHIVta5i1S3roR8nOgp19EU68Xnlby84efgWLREc9QuPH9wX5FcGMJxqKt1EzMzP/gZGHrfiklOpIFszxa6400IRpbMmpaNk91Hb3YuolhZKaVDfuuzVHVmyJ27bOh8HZDpAzNHyipQV7zJTnXRlW5nUdUiatJNeO1RyWailbxt0N2/hZl154w75b6Tz6O3ttJk1LA9uRrTPwcYassYbesIlO2GM68Z+cBYE7qRg7kXjNnn0TCVJYI+4CLg11LKC4Ec8NXRG0kpfyOlXCalXFZXVzf6bkVRJkgzbb7y9w3c8dLHSVWv4ZbtOp982Edw3mKW3P/AUUuuhltYtZDbLruNh6//O+fPv5wfz6jlM75Gfjbt6/h8e/nJ9f8BwSDtN36Y3Lp1Rz0+5fgkhLgO2AasKP7/AiHEY6WN6si90BDmhYYw2VUvkd+4CSkhvq8Xf0s3jX1J0tkMOcNi4NJtS6qBbeGtQzuwTQJ6saQm3grhPQT1KAC7e9O0RLJEMm6SJqVbPjOaIyVdiYI7Mx1gWA4vNUXY0ZXE1LJuAz8b4dn2Z+mw3H3LjFu2VdHRN9hbUsjEKd+9nfja9cQff4Ky5pElZ9Ia6sHoShYoJHZgxduHBWIPPie6t0CkAfp3jtiHNzOyvMqXjNMUGX1F332teo0U7bEeuo3EyDI3Kd1ywmEN0Noet0fKzhXIdDcgpI1EYsXjgxNuAOyJNhHNDpVnAmBpQ1fjzRzoWWL9LaxvjUG2z22E9mx1r8z374TebYMPbewfWbrVEguTa99CUz7Cpva421NSfD7enfXYw2IW0qI2sZ3WjucpaClwLDK2huVIpiV2EjASOFKyq28j6/ufozVbT1qz2Nk99BoOPjcJnr4o6WSM7kiG/NadOJpG1cvPE+geeo/8kZ1U5Drw6hk8yQxztzcirJEzQFZGE2TD3WzYuQmApt6NYBUQloWUkm3b7iHVvJnW3r7i2+EQz7v7SBhub1NOM3AkGLaOqaVZu/dxGhONtMfytMfyZHULvWMtM2Kb3YPq7vn4cvfLvLj5LnZ1riZvm4hRyV/WyLIntp+RK7btJsiDL87QY+fuaGTvNrenNyWzpJyhfgPLkezsSRPLjHwdBnRnutnSvwXHkaxv7yCR19CLPUiNhX72JZuJrXuKDQ/9nC0tq0k/8wxOsh9HN3i5OUpjX8ZNkBxr8CJJWHcT/X4jzbbnf0umswUjEsFueQGannbjkjZtWtSdQKapidTjT2CFe9mS7RhRnmnaDrt7kxjdO+juf4zG/tWDs3taTTupbNrivufDPnv1kXpsx4auTRAe+Xo+17SevRv+QWemczC5ypk5toa34kj39X0xtZemzjWsbX6caMH9m2LFYtgF97MV3bQGraUFT8b9fBj20Gu7qyfFjq4ksXis+DZJsmaxWC4fH+z5G3ofx31bpsRUJlhdQJeUcn3x/w/hJlyKokyy5nCW6375T9ZFbiFX0c2d6zy8eoWPsleez5L7/lLyWfuWTlvKr994F7+++tdYNfP591nVTK97iA/Zd/Lzqz+Md/4COj/1aXIbNhx8Z4oC3wIuBZIAUsptwJISxnPEwpmRY1viOZ0d3UOlYh7HQrccd0y9Y5DLtZAww7REczT0ug1K2byK2RseAmmTKeju5Anx/ZcPru56GaO4WKx0HEh1QzaMv68HT7HXoCdZYF73Cmb1rSTb2kHF1m5EroBhG+iy2NBZ744DcpthY1swlmUT6mnFVxhq7OiNbkmeZmSQjoNw3LFPWjoGPVvI6NrQuKNCscFkuuOdBiakGM9AWaJmWMRyOttaegfHapTt6aM+103cHho35enoo3vlDreMLD+yUSxtBxyJkA77epPk1qwl88KLg/fv7cvQFi3GZFnYicRgY1Vr70Pk3Ocbc4bGDUndIGnlyQw0/LQ0nmKDMa25j83aOnEtzo6t+0h1JGiPuQlbKpshlnQTinCqQFd8KEH2OAaWtGnt2cje1mfIdm3gpb4NtGlRsDVEKksu3EN370ZAkjajbGqL81TLKtY2rx4atzb4BhlEczqaZZMz8vT3umV3wbZ9g9vFiuOHjEKG4N42KtM9lGfiZJwCpmNQMCwCxTFUkUSWZDSFaFgPKXdfbYko63ftYlpHgmntcSJZHcN2aBmWJOumzd7+LJGszu7YbtbG2+lJFtAtm0y0C72nnoa+NJGsNnRu2zapxx7FaG8FaWNKm4RT3Gd6bEl6zhw7fqpq3UrKd22lM5Gn64kNeNbtG7zPp5uE9rn76Tb72WN2E831gWkSWrUK4ZjE88aIEtlwXxT9hT9ApAHLkfx55yPEYlto3Ldm5IHzMVpaGvHkTfxdEcxCnl27t9O/Zif+/qHYy7d0kd1TLKFE0mj2sG3tOgJ7mzClzd5CB5vDWwnn8mxKdtKhxenMJ9kRibIz2kRKT7Jh50tkbY3hn9nWaI61DZuJJYp/e5yhz5q+bTtoOkLa+OJRPOEuLMviHzu28WzjWqyOCP7BsV/uP8GWOMGt29H7dgzu5y/bVtOS6CKcD1OfandfJzMHsWYKu/4OhQS5tevIbmpAc0x2hevpynZRUb+Z6u6hsmKAQrFHN1Msi2xPt7MvuxXhaESz+pgxg0fTlJUISin7hBCdQogziyUcbwB2T9XxFOVk9XxDP1966O+Uz70LR5j8flUtZWviVL3xaub96Ed4QhOcXvcoePX8V/P3f32MH2/8Efc2PcSqiiT/1Xcrz7z2Jt600qHzk59i0d2/2e8sUYpSZEkpUyfKLJSxrM62+h2IUB3SEyBv5elJhvEWJ5wIGgnKckMNi73J1fisDEF7BkE9Rirl9lrlmhroj3bgn7GQnoyGt7UP7/TqwYkNfAUNrSKF1ywgHA8b28Pkk728/YL5RB57nMDe1diLa7HDOtNyMfB5QdoIaeO3sthR9+qyJ5fFlHLwor4EgloUQ0+BTAPV9Gd0Bi7rJGN7qUp3sWC7h75XnIFVFqW/4yV8Na9g575nqPDPGSxOyySjlMs5rO5t4DRPFefpefJGgYSeYYZuI198nM1b9+LMPx1Pf5isM7IBlU7E0MLNbNQDzJIePELQHE9QCOTw+rxEszpZqxeJJJ/eyKJ4igyQ001aIgZMm158UhK9J8qMRJjkv0Dly0/CDAdZuwQ7k8FbVYUv18ep67YSOv9iCvFZg2PKpG2jd4YpM8LkL5g9GJvR2Y1jWLRpMVLJZt5UdTEAXrvAQDNWSsmqVCP01FK1txVfLIExw63uqeveTqGvggJQBlS0x/HZNpQHB3sDKre2AKBbBaCK5t5WWkyHK1okAUeHU2dgFDJUFvqYn8uzM+Al//xmGqv3UBWsZnBONiEGe23qU620NL7I6cUysvSKp6i+5s0kc27UvkwXJDL4rBxQTk5qdEeeZDo2Qg41M2uefwZfwM9AGtsRyzN9X3Tw/oxm0hHPwyIQ0qEqs49t3RXUdIcHLwQUTLch7RQylOe7hl5byyHqZJgDOJoB8c3423uxXjls3TQp4bmXSKdmE6ypJp3ViOxrpHPXyyxe9D4uOWPBiHPJm06xonktCws6A0/DE3MTCNN2ELqJtAsIoHvXS4S6+kgl49QGe8EfJFkwIehePNn58JOcpjfAxQGawxmyusVZVpaUlWV9x2qC/hlkNJMqkkjPULleX66XWDyKpYWo2/I482o0kCGE5RBKFmC2W6cXczL4whlCVe73vZAQNbO0JzSMbIYFCBKGQzk+ooUMif4mQqEIMNO9gFHuzrgX7I4wrbMLZ+nQ65Yx3AsELf1bKacKn5UjmOxDvrSB3GsuYOa+HLHtDSQ8GQJmBnP+2JkDZcdQJbfd0494cRPbrsrT0LOP2TtamR3yoy1bCEB71zrKHYNoSsOOppFSktEz5C2Hmp4ItnPmyJ3bNtIwST3+BLFMN8wpR0hJOm8OVr0mCxo1pk3oyGaqPyRTvZjALcBfhBABoAX46BQfT1FOKvet7+B/n/oTgYX3U2VY3LlqIWzupPYDH2D2rV877AUzp1K5v5z/uvw2rlr8Bv7rpVv51AIf3wv/kt4rrmTeaoeOmz7J4nvvUWOylAPZKYS4AfAKIU4HPgusOchjjln5TBJ/dC27SDF33ntojO8lHd7DDGcavWXVBPUYHXKo98dTTCpCuTh+M0Nt32bQ30afFicrNTxWjGrA09mHHo+zz3kYT1k1c3fuo8A+zsi2UbjsVKzQWVSnGqB+LQ1t/SRyBtPbE/SIdspNB01CILsPmAUMVUkJ06Y7UaCYiiBsnUD4RWwtDkEfOJJgoY+qdBJd1BLO7ES3PXi8FfgLOm2R5XjCHcyIJNFtB58zNABdyKHxNppj8ujTf8TX0okQMK89yqxEPcl0B1krxuhZszJmHNH6COvaG0lUzkHXKlhcNo9eOwEFCPp9pDULr2njNWwIDc3wZhWfXETrJGJ244sFcQCf6ZZkykwDuqeKYEUdTqGAt6qKsnwPQlp4W3Zg+k5WDXA5AAAgAElEQVQBjw/HcScRqbUlSIesblGOpCLbxr54jIFma2+qwKPOXq73TCOoRSmPZZGzpmNl81j9aRo8Kc4pXkBw2rrQKsFvGwyMEwMoS+QJWg6cPYe0naJO1CAsG92RxD15MMspa4pQK6HPElR5yvDkDWqTuyhLFPAmU5wqwgifl34tTn/lLM4tvv5y5jREJDEYqyNH9kxKy8IcVkI3cLfHkeimhiktZtf34HjdQqnyWM49N4aP9RH7r9fym27Clgs3URlJQHE/A4l4Y3+KquKBRbHX0CleSDAck93ZTijzkdEsAsU4q7uSmL4Am9a4vSmFQCdzOuvpP38+DW0P0Wmey4WW7V5YKPIamtvD6INd+R7qmtxp8bO5DKJ9N8Iy8RdM0i0NeCsDWI6koPUSDFZA8ROi6TpIiWE7mLZD1rGo6h+aACXV10aktkCdaVMV8lNwTEzHoamrn2jWhKwGjo8aT4by/giehfOwHYkjJR7Dxu5rxT+q59hb7LV1NA2vbkPQhz9vYHuC5HULXRNUS4sQIHQDijOay3gar+2wK7Udykf2eFtIco5GUPjxmykMQOSiVEcSUFZD2BzqqTWkRbK3dTBhL+zYB4vdg8zZsRYfadjXilMm8ekWOiAdSTieJrVrJdKoIKP1MT23iKb+DIG8BrjnY+OWFs6qnIkpLSJalLl7wljBEJF5IVojCfwzbKoy+5hd34Md8MFF8PCe9VyUT3PNOWOXtpgqU5pgFcs21KVoRZlkUkp++kwjT6+/G2vhCpbkbG5/YQnWrjZmfflLTP/4x4/5NaZePf/VPHD9w3zhhc/zJbGDTyTXsPBVs5Grqun89GdY8sD9BBYsOPiOlJPRLcDXAR34K/AU8J2SRnQEOmIZEk4WDyae+qE8cb/NT0ciLIeyZDHpsmxoXEGrPtAbMPTZ70y2s3hLO73njrzqm87rhAhTZeVg+gyCutt4iecMRIWbVKQ1k3Ix7CJNcZKJYFsCY3GxR8Ex8FsGu81OZhsWtuNQtamDysogPsvGWxyfZeEUkyf3WVmOxPIUZ9KTEpux410cJGJfB3bxxfD19RL1DTXivMXyJtvrXpbOp3eie6FCWvj1LKGdEfIXDzWoRLGXZ/reMB7bwawIDN7X3hvBkdNJm1FC0iLp2IOvf3V3GF0atCTSnDrHYXd7nGUzhi2aKyXbmp+EaQuY51lIoqDTl49DmYXeEUd0tMCFsDKS45piOVpZLE+kIo1FFf1aKzPl6UTtONPXxdCTfWh1Q4lmKJGnP9HoTsYximE5YDt4bR184DiSVMFEN7ME8m7vRiCnkwWytsaMXXlmFseNFbwBfLblJhR6Bipn4UiJt70HWVGGJW06rSgEasnlcgS1FHrI7U3L6RYirzFzTz9mmZ9+3cIH1O6L4hDFc7Y7iYPHHnpfBZDQ3ZkM83kDnzFyDJ0th7YNZPJU9Kfp9VdTK23Ksj1Qvdg9EaSkKuOW7NXt7qdO9pE+fx59dpx5QM4a6tWMZHU8xWn3y+J59IoEVBRnpkyMnPK97MVteAsFoucvwLIlHuHltDWr8EgTzVNNjxbDZxUIamEkErmmm4H+SemdhhNw37OsLBAwbLJGNQkrR7rxAfpjO5gWqKQraRPw5ahtH1mqWLdn5OyGpuUws7MBLTSLkGkzMMuIKS1qG8KEi+Wn05sjlAf8UJ4uvobuWRtKuq+zZ7fboxkrltLFnAwUJBVWFqd87BpSXlujItuDvzaIXl5GINUC8xbgSefAsd2LFcBpmpdCwKEnWWCmmUELVA2WOQcdSbPZhT/eR1BAwbCoqAiClFT2ptEdC58HOqIZ/HPc98awHJL1veSjTVTWzKDg9WBLN0msSvSiB4cmv5je1kOoopG2eX3okV4MK41fzIW2LYQ8gspEdjC78RoW6GmEtOmyYwz/2zjVTsDlsBXlxOY4kq8/Uk9rw8+ILNzAsih8ecUc7P5u5v3oh9Rcd12pQ5ywuvI6fn/NPdyx4Q7ubnyIPf4U37o0TvK5Wjo/cRNL/nof3mlTs1ChcvySUuZxE6yvlzqWySJ0kzl7OvBPmw7FNUt77DiV2TiD03gV1bZGCaVzaDVub4YtHXq1NFa8OLmCY2JIc8S8YF6nwOhh1xWZLrx7oT41HbShEsSKXNdgz0Neam5i5fWSbd1IMm8wrTww2EzptmNEYxvwVLpJjm45+A2bslgeqEAiKVgO4CFgJAnqcRzdHTs0MDbJkKOmbi5KOiPHxngck5gxNO6orOCOQdFCdVi+Cjy2TkXELVsLGEls4Wen0c7w6bNmFJOr0TwtXVA7g1A6B5UQtoca/9W9MXJOAc1JUdPfRcDq40lv2WACJqUEW0fr20tS6PT445h6irpQGRW9aWyg3ezHKyrp0dIg3N4nvTpEW3kUTRoke9ro8ZWhJaNjYhtOSIegHhucMCBZMKjZG2agf3Ogw0G3bLRNnWMeH88N9YT2OwN9gBIQYGRpLkTx5MvxV5SRcvLYOAgJ1elGyvMB4h5BaypNVfpVWDu34TWswd6SEXGO8xpLGFxPLOsz6e1ez+nD7u+3kwyc/HWNXYS0DMmF4LPyCMekEGnF0SyqO5OkF9USTGmDYwV1W+KVNuB1JxrZj85cihnFTkDPsMkSfHkDy3anGN9r9lChuZ+eSunGm8gb6D1pQtr+pnmXRGNDvVIey8EwdMJGlrxh4bML7CsU8ObqWNi+HctXvp+9QLpg4C9+/kJaeMw2w3sTvaZNudWNyLmvt2HZeIrZWEc0y8BlgOETovisoTFuwdYYqYKJ5tVp6kxQh1P83Ll/c6QE9BRlxdLToUAlBaP4HgsxcpLCZAEH9+LFwJpytuPgNWwqiuPrNBsqMt0Ys90IDduhPOrel8zp+Kzi1PGIEb3aAzJmHJHKUtnnJpadVpRpngq8CGbuTRE7Z1i7IbyHiqw+OFnH0aISLEU5jjiO5GsP7yC17zYa5jVzbbuXG58IgFdn0b33UH7xxaUO8ZAFvAFuu+w2zph2Brevv53PLbH5+b90E39Bo/Pmm1n0u9/hCQYPviPlpCGEeIFxOniklFeVIJwj1pFvIZ/qpxJIGmGmywOf78HileJQyk1A+u0k2XCabLHxYuRb6bYNzvAN9bL4CzmgiqDuluPN2BsmtagW8NLQeODFN/s7GumbH+LCnBfDdsgaFulUfvDqvWFYiGED+oUAr26B3x1Xk7ctQsJtcFUme3CyIxO9Eb1XQ2kLuhw7mUWuOPtgZbZt8LaQFiFf7sczantdmoNlYwN82tA2vrxBxM4z01NFVmrjbgMghrUeU9lW9pZ5mGkPJSoDMwl6hMCmC80n8OImP5bjXjP36haVyU4yOgwMi53WHqf7VLfRlzVzTN83MqGU40wN77OyxbFOQ7zFyTEKcihh2F/v5/CGsDWs4Wo7kljPwAyBOZYOS0s9lo3HFhjSImb0ko8EKdu5l5wZ3m8j0mOPjSA/bH0mj2NSnh/Zi2Pj4JHm4DkK4DfTg89mYH2nskSe9KJaprWNXNsomNFJO5DOur0swhyb5AEYjkbAKlBeGDr+9I4e/DmDfhEgmKqCUdOWA4Raokxs6Wi350RYNvGsTtawBz8robRGwMi4U+aPI1L8bOvW+LHD2CWfhBy9rXtOBcZZdHk4TySHldHRTIeClsfjmGN2bjluqSvprhG3h+3U4EskZHGbIl9Xkty8Gob/FcvYOsIeOR48kBs1w9/A462xM4EOxOa3snhtjYS0CAxbS02XJv12Eo/tAd/YgVYeaYHwH3BR4sk2oQRLCHGulHLnwbdUFGWqOI7kGw9tQbZ/iZfnxvhYfYhrVmj4F81i4f/dRWDhwlKHeETef9b7qfDX8I3Vt/KR82Zxdy5Mes1m+m77FnPvuP2YL3lUjqovD/s9BLwTGL8b5DjQr3VTNarRNLydI0c1l0df0c1LnYpNw6ZBlw4COWICiNrWGNnKKvzFcRI+zWRGYxj8c8eNafinLZ2OYlfVYKaLvVq6xcKNW4YOZ+ZADo0Nyulj3wqt2Pgv298CpUWOdMf8VNtjeyFyjjYiKRhuoDdrjOEv3ag/IZX9GVKOhpQOaVlgZmwNnmCVO3nAMN5hsXRrSULdAs5nDEdK8mhYhPAChiUHjzmjye3dsHx+GL6qlDn+8/FZWQrxkYvQBtMactgYrNH67SSMv7sD0i1nzOK04f42/MU4fVaemg6DDoDgAoxcitr659Ct/TfgA5kDz95Wnu/Gs29kQ1ggKM91UZGzRvTcBIzRo+0gOOo98hgWVT0pwsAsihM97CdJScVfBilH9Of6iz0tBWkwrS1GrqIMKSbeB5F1xiYLs3b1kZlXg5g+1FtV0Z8Zs93EDJ3IGW3/s2gCg9PGj5fkDmdLSbpgIoDyfA81SYfywsiyTW9vmorWNWCOfH5pWaBc+KjuSOBxDCpzQ+va5eN5Zo9ZLmHoMzBcZU9qzG0j5N33eWBx9QEBI4VujV69Cxyc4gWIkZUvFeEMFRkT+/TC+Gu6TYGJnj13FSequBe4T0o59mxXFGXKOI7k2w+uwd/1OZ6YqXHrynIuWJOh4vLLmf+zO/FWj17x7/h0/WnX4qOM/1z9JW68fDa/zcRIPfIIoXPPZfoHP1Dq8JRjhJRy86ibXhZCrCxJMJPAr8WoiGTxFAfrt8fylA1rHA7vmdif6LCSNl+xfKzPHnmVfHhJ1ABnzNXvouElRbpFbUuMjmF3h7SRjaXKYQ1HZ0RyeOiqW+Pj3t5rj3/VH8a7iu8Kpcau9TUgWJzCOS3dbaJ2Gr853oUcMXjl25ES4UA+04ewxs9mPIO3F0vvhslbJkZuKJnxxcdPOKtTTWNuC2R19ODYcTNHShsnEcnYQ3F5nKHzJqRF8doaKX1sY3m4ygkkEqMTWbdUdOzrL6QzpgzNN6osUYzT2weMPBmLhj8fYNz30eNYyGGTcGSlRtDe/8pGOTl+QlnVk6LqYEnEBDhSEil+xo1xyi8HZLTDv85U3Z0kMNAbazuDSWs26MMDlAVGpgyaYVOmjz1/xysPHW+hbmCwZHB/Ans7i+XNI/nNDP79XFMBmL19KCFr704xszeNAHK7W6g+74CHnDQTWgdLSvlq4APAQmCTEOI+IcQbpzQyRVEAt77/5w8/R6DnJp4Ladz5txAXrMlQe8MNLPy/u06Y5GrAtae9ntsv+1/CXh///qaZBOZp9N/+PfKbNpU6NOUYIYSYPuxnphDizcCcCT72GiHEXiFEsxDiq+Pcv0gI8YIQYqsQYocQ4tpJfwKjzDUKg+NYgnqcstzYsTMHM5FEZnhJ1ID8fpK3/TZY92N0Yxkg4xy4t+poqOkYSsoOUHU1yG+O1xiW7iQSRUJK8usfZdau8Vt4/uI4I+HIcRub1kRe2/3PcDLmlrx5ZJ231gEa7KN5x+lZnCwODl7TZsbeYeOOiq+VPap0rbJ35KLMwyXzBhnNxHIcZtePPedHq+4a+54HteiYXtEDle1NtZiTITXFn6dgWhv83Fd3JQcn3sjrFlndIjZqUe3RM0seyMDYu8Oxv4snE1U27CJGV+LorYs14YWGpZRNwDeA/wReB/xcCNEghPi3qQpOURT46z+fJNvzGbblBD//g4d5vTbzfvgD5vzXNxH+sXXiJ4LrzryCL5//Q/p9gi+8cybecpOuz3wCs39/A4yVk8xmYFPx37XAl4CPH+xBQggv8EvgLcDZwPuFEGeP2uwbwN+klBcC7wN+NYlxj6tcDs1m5445OXrM/UwwMRn67RQ5p3QLfY52KInEcMPHBA0YL1k9HOYhNtoDxpH3hhzrho+B8+6nhHK0qr5hU4TbDgXTJp47eM8vjN/L6ZHWuJMrHE8GJoCYLIeSUE2W0eXRh6MiXFyIHUhr44/7mgoTSrCEEK8UQtwJ7AGuAq6TUp5V/P3OKYxPUU5qTy5/mL2tnyXb6Odb9zlUT5vLkgceoOb660sd2pT78EVX8aFTvk1LucUP3lWDk8/T/ZF3IY2JfWkqJy4p5SlSylOL/54upXyTlHL1wR/JpUCzlLJFSmkA9wNvH717YKBbuAaYnJb0AQR6xi+JOxoGZvKbKgWOXoPmeDR67NMAsZ/G7JFezT/eePfz+owWPEAp6OGyPYGDb6RMqU77wLNqHqqebNfBN5okEx2D9QvgbuBWKeXgWSyl7BFCfGNKIlOUk9z6J//I2oZvs2RVkMsaHCqvvpp5d9yOt6qq1KEdNf955XX0prM8K37A/W+t5L2PRum75b3M/b9/lDo0pQQOVjEhpfz7QXYxHxhef9cFvGrUNt8CnhZC3IK7quvVhxjmIbOcE7fRbJ1kCYEyuWpbx/YeHi1eR13MO9EY9tG74DPRBOtaoCCl218qhPAAISllXkr5pymLTlFOUjuX/4KnN9/Ja1YEmB+Hui9/iRnHweLBU+Gnb3sf77svwcNn/5rT+8q4aGUDZT/9MtO++ONSh6YcfQda5E0CB0uwxvsAje4qeD9wr5TyJ0KIy4A/FWfSHZEpCCFuAm4CWLRo0UEOe2CZY6iMTjk2+I5gsgJFUUpvognWs7hX8Qam+ygHngYun4qgFOVk1rT8+6x4/ndc+3QAX6iMxffeRcWrLi11WCXj8Qj++N5P8pZ7+/jBlX/nF70+xO8eJ3TOuYTe/JFSh6ccRVLKjx7hLrpwJ2sasICxJYAfB64pHm+tECIEzARGrPgppfwN8BuAZcuWHdFAgZyZZ+zKLcrJbHrzgWfpUxTl2DbRSS5CUsrBuRSLv4+/DLWiKIet6fHbeOGBe3jr4z6chXM5+9EnTurkakDI7+XB991KQHsNX/tXiR7y0PWN27EbXy51aEqJCCHeKoT4ihDivwZ+JvCwjcDpQohTikuPvA94bNQ2HcAbisc4C3edrSlt7QayqhRJURTlRDLRBCsnhLho4D9CiIuByR9RqCgnsT1/+xI7f/kAr1nvIf76S7j470/inzv+IqAno5lVIe77tztIi3P4zjs8GDkvPTd/DJnoOPiDlROKEOIu4L3ALbhlf+8GFh/scVJKC7gZeAp30qa/SSl3CSH+WwgxMHPMl4BPCCG2A38FPiLl1E6f5TnM2e0URVGUY9NEE6zPAw8KIV4SQrwEPID7JaUoypGSkm2/+3f671zOae2Cvptu4PJf/QFPMFjqyI45Z8yexv++4SfsqVvIH1/vI9vhIf4f7wCj9OvtKEfV5VLKG4GElPLbwGWMLP3bLynlcinlGVLKpVLK7xVv+y8p5WPF33dLKa+QUp4vpbxASvn0lD2LovHWSlIURVEm29Ebxz6hMVhSyo1CiFcAZ+JG1yClPPxVwxRFcUnJ2jvfh++POygX0P+db3L1O28odVTHtCvPWMBXEj/ih+IznNWd4NKXc4R+9iEq/uMhOAknATlJDVRQ5IUQ84AYcEoJ4zkijvDhmcL1qBRFUZSja8ILDQOXAK8ELsRdnPHGqQlJUU4SUrLitrdR8bsdZMsEyZ/8UiVXE/ThV53LOxd8i1+8OUh/rZeu++oxn7i91GEpR8/jQohpwI+ALUAbbjnfcUpdGFAURTmRTHSh4T8BPwZejZtoXQIsm8K4FOWEZtkWD9/8Ohb/rYWOOV70n/6VN111VanDOq58+y2v5xU1n+P77/Cg2V66vv975O4nSx2WchRIKb8jpUxKKR/GHXv1CinlRCa5UBRFUZQpN9EerGXAFVLKz0gpbyn+fHYiDxRCeIUQW4UQjx9+mIpy4sjkkzzywcs4+7kIu84M4PzgEa657PxSh3XcEULw2/fcgD3tA9x1jQctGiD8jZsh0ljq0JQpJoTYLoS4VQixVEqpSylTpY5JURRFUQZMNMHaCcw5zGN8Dne2JkU56XVGW3jqhtdxztYsOy4sw7n1H1y/7LRSh3XcCvq8/O2GL7Lp1Dfw1EWC+O4A6e+9GzTV3j7BXQ9YwN+EEBuFEF8WQhzZar+KoiiKMkkmmmDNBHYLIZ4SQjw28HOwBwkhFgBvBX57JEEqyolga9saNn7wes5pMNh7SSXi8w/ynledWuqwjnu1FQH++q7v8ofLzqFprqDzOR39tx8FR83MdqKSUrZLKX8opbwYuAF3fHBricNSFEVRFGCCswgC3zrM/f8M+ApQdZiPV5QTwhNb70d+8b85o8+h47JKrE/dz3tetbTUYZ0wTqur5n/eciff1G7kR/f10vLnes4884d43vjVUoemTBEhxBLgPbjrYdm43zWKoiiKUnIT6sGSUq7EnaXJX/x9I+7MTfslhHgbEJZSbj7IdjcJITYJITZFIpGJRa0oxwlHOtz17Pfw3/JtFocd4q+uJPfp+3mXSq4m3WtPW8DHXvdTfvbWSpykj7af3IVserbUYSlTQAixHvg77nfYu6WUl0opf1LisI7AlK5jrCiKogDCOXrLYUx0FsFPAA8B/1e8aT7wyEEedgVwvRCiDbgfuEoI8efRG0kpfyOlXCalXFZXVzfhwBXlWJc383z7b5/irK//mTkpSeE15WQ/dT//dqkaczVVPnzpBSy94ts8eIUPva2M6O2fhER7qcNSJt+HpZQXSSm/L6VsKXUwR0qtgaUoinIUHMW1Mic6Buv/4SZMaQApZRMw60APkFJ+TUq5QEq5BHgf8LyU8oNHEKuiHDfC+TBfved9XPPDl6jVJc6VZeg3P8S1F6vkaqr99zVvoekNN7PtFEH/ej/5n78XzMLBH6gcN6SUDaWOYVLNrCh1BIqiKMokmmiCpUspjYH/CCF8qJoGRRnX3vhevv6rd3LjL5uolA6+qwJwyz94zblqQoujQQjBPe/5BH+99jrilYK9/0xgPXALSPUnSzk2vbJqfqlDUBRFOeEdxQ6sCSdYK4UQtwJlQog3Ag8C/5zoQaSUL0op33Y4ASrK8WRV1yp+9L/v5+Z7o5QHbUJXB/B99p9ccMaSUod2Ugn4PPzxY9/hF289D1/ew/Z7X0RuUJOZKsemgGei800piqIoh6vCd/RmF55ogvVVIALUA58ElgPfmKqgFOV4dN+e+7jvF5/h8w8UCFZZVFzto+YLyzljyeJSh3ZSmlYR4I5P/4Y/XFlHeZefnT/7HnRuKHVYyiQQQpQLIb4phLi7+P/TixMrHZeE6lxVFEWZckexA2vCswg6Usq7pZTvllK+q/i7+kpQFMB2bO5Yfwcb/+973PKITXCGSc0bfcz4wgpmzV1Y6vBOaktnTeO6L9zLS2cF8Wwto+3OGyEbLnVYypG7B9CBy4r/7wK+W7pwFEVRlGPdMZdgCSFahRAto3+mOjhFOdblzTyfff4W8r//MzetcAjNNZl+tY+Zn3+KyrpFpQ5PAV53+qmEvvhzumcKIi8I4r+7AWyz1GEpR2aplPKHgAkgpSxwdL87J5U4fkM/7jk+b6lDUBTlBDTREsFlwCXFn9cAPwfGTLmuKCeTuBbn4ys+xuI/reSGlQ7li3RmvNHP9M8+hX+6Sq6OJTe+5rVsu+lzeG3Y9o9OzOVfL3VIypExhBBlFCdbEkIsxe3ROi55VH5VMlK9+Ipy0rDKZh61Y020RDA27KdbSvkz4Kopjk1Rjlk92R4+8sSNvPbPu7huvUPVaQVq31jNtJufQ9SqMVfHov/40E0s/9c3MrfPw1N//AfUP1TqkJTDdxuwAlgohPgL8BzwldKGpByPUotqJ2U/enBy9qMoR8tJeWnBc/R6rCdaInjRsJ9lQohPAVVTHJuiHJOaE8189J8f5N1/6uDK7RbTzs4x7epZVH/6GaieV+rwlP0QQvDV237GC8sWs7Tex/K7/hP6d5c6LOUwSCmfAf4N+AjwV2CZlPLFUsZ0JCZ7kgspjo1ZCSfSgPN7J1pIMzVs//jHz1Uc2vhZ21tOruLkmG5fqymjKnRsnGPDJRdPP+J92IFj73lNmZMww/IfxR7rif5l+8mwnzuAi4H3TFVQinKs2hbexk2P3shNf4yxrMFk5oUZpr1hCZU3rYDKulKHpxyEz+vhhl89RNO8cuauCvDSXe+FQrLUYSkTNPxiH7AY6AV6gEXF245LYpIzLMfjn9T9HS7/BBK9ymOwoQ4gxaFf6Zbi2Hjdp1pqyXTK/MfG+zb8fdKrQ0e8v+SSI0/SDoUePLrHOxHowRljbiufwPlYU+an7Cgm0BM6kpTy9VMdiKIc61Z1reK25V/kPx4wWdxjMOdVSSquOI/AjQ9C6P+zd95hcp3lof+9p5/pZWdme9XuSqtqWZLlgi1bbhiwDabZmJYLCQQSfEm4hAQIkJsLJIGQXEghhoTmANeG2DGYjmkBjAnG2ICb3CRZlmzV7VO++8c5uzuzMzs7K2m1K+n8nmeemdPf8803Z973e8sXX2rxAhokEYuw+h8+x77rrmHy6wXub7me1a+7DbSlHUkPaIgP1dmmOElD19VxGEqeDNtYI14aWkmz0ItjDR1nGxoThbnnhtHQKFG9vWBEMArDRyfsMmIhtq2la0wWj/88OiVdQys7b1F3q78/kWU3WbqhCYXSiZdpJBslvPeI9znURmTkiWM6n6FrFPz2nysnbyQXZe2zYXYU9hzTtWaTN2PYE/sb2jetRXm2dKRinWVoTNb5/dZD8JNYGyTvmphjS18gKm9GsSeerVgXsnWKBWFC1ZbP0DXsE1zQpiEDS0TeWm+7UurDx0ecgIDlyW2P3MZH7ngX7/o8ZPfn6TzvWZwLL8F8yY1gukstXsAC6Vu5kn3vfB/Nf/ZO7vnKIyS630Pbpe9barEC5uFUHeyTo/zjz5txBpXLjsIeDnUlyfx64cpfzLXYd2S85raIbWDn3Sqlzrt29LgYWMdrWEOJIEdhgJQWGKJoizmnEne0jGYiOM8UMQojnkyaWWVgKU2Q4vE1ZhaqYB9PJux0lZLcKMMtsWkDC9HIm1HMfHUfnY+RcBvhkV3EXZNnh+vXyCnYBposTniZEh2hVGVAzzZgY1qo4rcYd01sQ2dv2e+3N9rH08ri8Nij6IQvRMUAACAASURBVMXav+sZhLhrcKhRo+lo7n/WwMDeNS1k73tq4eeZRUmz0EqTjR/gy2DasWO+dqMspIrgG4E2//UGYAgvDyvIxQo4pfnU/Z/io7f+Ke/7jCJ7ME/PBfsIXf1qzJd/OjCuTmK2vugadr3kajY+AF/80hcY+c3tSy1SQIOIiCMibxWRL4nILSJyg4gce3zQEpHo7+RI68K94EXdQRNhuCVGydR5en39HKCxVKhqXT2VSRNBl9pqQknXSYftujlUrlh15dFF0DWNLuPYw6s1gXS4/vVqoQyNvWta5tyuRzwVZyLmELWsRSmprzRh3Jm7DRyxCEcSCzqn3oB654oNeIZ0PYp65f9cvXZu1usX+7DnCKMcCXuVd21j4Sa3ax7dAIXCO04EDNHo1L3v4ERXllSzvivDD3tMhCwitjFnj6vlkdHsNEaovSGveMQxsOYZ3DncNv9zaTJiz7lttgGvajwvFvr9dYWHGHOzNa5VZ7hgyjhcbkUugCZgo1Lqj5RSf4SXg9WulHqvUuq9iydeQMDSoZTiw3d/mJtv/2v+92eF1Hievov2Err+XehX/NUJ/aEGLA6XvOcv2bVmBRd/X+Mjn/sj8s88vNQiBTTGp4HVwP8FPoo34PeZJZXoGAg5FmPJ+oM14wlv+5ibm16nfJ1hLFFtOAGEZtmc9RShuQjPOocSYdRtpahb6JoQc00cU8OpUSyiGLJrGi8HetOMJ1zCvmJvUPtZOhzpZril9oizM0sRV66JViPMN+9WK/T5UKWBcDC5quY1ADoMr6zzZMQmotv0OLVzZpSvwE1Eq+38cfvoDUglBgfWnEcp0fhYdkf7KnrM3Jzbx51MhTdmvryUvFX5HRh1DBATnYjM3ZdTWgSrRm6eEo2EaxF3q423nO4Zl0W99hjK0RRKmW0oG2UBXbV+J8UFGAGqwXDzuXLGmjSvvTXDwtA1poZBGjX78tkWikao5oBKOYY293BBydA43BZnrCkys3KunesI1ojMoToG/lzbygv5xMRtzBMbP7FFyBrtlZ1AuS9uEug+7tIEBCwTCqUC7/rRu/jJHZ/kvZ9TxJmk89Jh3DffhJz7h0fnKg9YdoimceEnP8eRZISLv6LxgU9eg5oYWWqxAuZnUCn1P5RS3/VfvwsMLLVQR4uIzJsLdKgj6Rsr3rNnNB0mZtT3asS0GUX3cPvMvknfAzHfU0yTSgXMMTVKmkVJt7yj033oTStwu9MYopHR49NeAAAxzJoj1pO+EeIkvFFoqfM8TbTXvke97LwTcZeDfena9yNSVRluttFVMusrotPX1DSMOQp3TCl8hqlxoKcyCb9ghhkNVSp35QVASnN4bYq6y0i4nfFolow+tydhtuFhtDZTXN3H/r7qOX+GI90cbG0jH124sT1FLc/J/hUz12qep1/mrSQlrbodrRrtIEBYbEbCHYw71cUNGqF8UALAMV2a9GrDfa5uOBm1yc8xOKFqHKQ0KDjzFzw52DPP/ZghlBmmkUDOqesphEI0Tt6sb5CX5vAkTt1N0TIqjaupcxth7/Os33XejE57YRdq8OrRuQcDZhvzswdHXLFIaJ6cGhqaCNkagxzeDtYJLZzYaCt8BrhLRN4jIn8O/BRvBDEg4JRjrDDGDd+9gSe/9mXe+fkSMXuS5ittIm//DgxcutTiBRxn9FiMjZ/+AlZJZ9Ptk/zNv1257JLJA6r4hYhsnVoQkbOAHy2hPMdGZmXN1T1Gjk494ynKmlQoNSVTJ2V6Cs0Ko5mDidV1LzGWDlcsp8MW6YgNujXtzZgyjmKuSSps4WommmjTHglT9wwsU9PIlivoShHSbOJaCKtMca6lzFQodk5tRbw8ZM2JVu4z5SEq17smIjaqTqiTIVqFx2t2OOb69gTpsE3cN7yKus0zKzo42J2evolcNkIsHEIy9Y0HTYTJearZdRkZuvQm4pr3nYzHXYYz1aF1BWPmPGZZtbwpJXfMbWYk3M6Y0zy97dkBP3TKMqsMt5LmKaeHOnIc8kua583KtojV8D7Nfhoa+kzja74amQ/bDLfEKozlvBllPOGiZoWZNlI5r1lPMu5kyfv36kWMzJy73Aum5gnVL6+qmW3qJJftJiw2h9qbSWrh6RucNnrrGPxpLYrjh76KwGg2UrVPLDz3/TmmPj3AUYFSVd8FAspNVq6Yh6JZLU85IbGxdI3RcFvNgY163keAaMjrkwfb5p6wt1aYZ7yGJ3nmgGpjcMpwnS3haFOYfJNnkE2FlVqGRYsZo1lPYPl9M+nW+A2e4IHxRica/kvgtcAB4CDwWqXU/1lMwQICloKD4wd5/Tdej7rjTv7XLSWi8QlSrxwk/vbvQ1P/UosXsEg4fb10feRjdO6Dpq8+xT/d8oalFimgPmcB/yUij4nIY8CPgQtE5Fcicu/SinYUNK9hvelNUF4Sk3HHU5J10bA0g0hZmF5JMz2DqGwQIGXFq0qzayKUyv7iC7PyaHRNo5SJUIqnpkeJpwwtx9AxNA3b1GiJuYQ1z5gqRtqYsFK4lk7UNacrbxaSIZJ6fcUuGbZIhi0mbc9Aydu+1yhaGUJoaELI9zhZuobqWEuxOcpwc8wzXizfwClTlibreGPyrkmf0UzMtXBN3fNcaMLwYOv0vEmGJuiaYBs6VmITY06OrlXt2LmZkXHd1Ok+ZzOZtmqvQ6ncq9WADqehUdIdjKnvRxMOdFd6uJr1JOasOmSGb2CPOxkOJ/rQzci052zKKE1lZr6HcoN8JNzOmOsZYt2+ZyKshZmwKg07p7u7UlaBidiMcW6UGXohy6BJj07fcouRqjB8oqHQdBGRkUx1/8i29HKkNV7hXZ2Rt4uCEWLCyXAguY6edBglBpNWgsOxwYp9S3pjudATMYdwdy+G6BiiMxjbgoR7Z53LC42bq6BFUo8Q9nPXxs7s4NnObvaubpkO99M2tHHeuVtrHgteaGLNc4tQ1G1/n5m9MTxjbDjntfN8eY0lI1x3e1izibkmrQkXvYYcU2vijkEqZFZtNDUhIg4lQ/cGIIDJUH2Zoo5R4fUs93bOhRavPUjRb3VRjMXJ2O2+4e5J3Ook6E5GiPohppsTlfPYJZwwiLYoOZRzsRA/Xgg4rJT6O2CniPQskkwBAUvCnpE9vPqOV9Hzn7/kzbcXiWQmiN9wDak33wruwhKMA04+UhdeQPgP38LWBxR7v/YDbv7BR5ZapIC5uRzoAS7wXz3AFcDzgRfUO1BELheRB0TkYRH5kzn2eamI/FpE7heRm46z7DVJhT0FdDTUQsEIMeY2o8SgpDnTHoT9qQ0o0WmyQ+R9T05xoAt8JbbcyLIMQdlJOvQmWvQkqZbqv+yJ3jSFXL0kdsG1dCLioBLrKBkOiDAQXwPAyDlrGd0yRCnmENFmjJwx1zOapo0hwDRdTE2b9mYcaUkysaIDrFDFcU05z9BMR2xaEy6IxmRXioJtELZ19GiOMbcZN+kp2SGxKZZ5vKbydaY40hqf9lDomqD5ClbRtZhIVCrmQ6EWonYWRCNiGzTVCAuLplorQpBCtsFYaMaDNJJtw2loPqwZRW80NFOcZMqr5YhJ3PI9IUqRiznEZ4WduZantGaddkxDIx22K+YVK5oGzw5kGUt5xslU2zdHw2wNrySmhabFmFK2S6HKez7SFufpgb7pZYcZZTpmWazLZAjp3rrygYB02CYWi6F8b8bswhEF26LYlmE0E6kZZqeV562VGXWTVoKC4VbmOc2jM0fjYWxD43BbotL1KcKknUaVKePK0LBdk7ZomF67c3p9q1+8I+6YRP3QW9s2yVtxlKFxsCvFvqFmiDmY/gCBJoKhSc08wFpG5VyUexAjybmNN++WPBMi5pjMbpiSGNMG3pRHt9WKT3vu4gmXloRLJmoTsgwSIYuedJiC7pI3Y4yGWlFOAk13yVtxJuIOT69tJT/LIzf1dXb6+YuzjZryML8Wv12nBgj2rmnxjO6+ppphsWPxIf8anvy71lwwvc0y9JkrlVULzEYdrJUzffhE0ZCB5YcFvh14h7/KBD67WEIFBJxoHj7wMNfffh0X3fwo1323gNuZJ/HhD5N6aVDM4nSi6w2/B5ds5yU/VHzrK//C9+/78lKLFFADpdTjwGEgDqSnXkqpx/1tNRERHfgY8Fy8whjXisjQrH368f7rzlVKrQZuWJy7qCTkmDy9vo3hrDcqXNQdDibXcihRXYChz8nw+vXnMXzONgjPGAnDkW6KukNJMwhrNq3ROLZmEtYcmiJ27eIEakYhGnNbpr0cAKVmT8Hp62jjsoF1WIa3Y8j2n4mGjgpVjjRnt21A27KW4Ug3o+GumQ2Jdkj1YenesdGITaE9Q741Q6mz2b9nm+Jz3sD6eC+6YVNLXNM0KOoOdruXcleeyxTSPeVX6RquqXseqrKTKN8QcDMzxmZXKkTEijDQ1V8R3liT3BDG2ktQyRmvmy6VCffDnf206+np0LlGUKJN7x8Tlx6nBz2ZoBj2jU+lyEYd9LJ7Odiem1a8Td1lwM1WbAcvLKvgmozPKqDSHM5VhUslwhYhy0Bsm6JlkIh7xxQck5JhMel4y7NzbzSRmt+TFoozPuR5h3qMSi9l0mpGM8MMJD3lerq8frwdW3RWmC3ofpuGjNoDALs3bGDnuvX+0owAJTEp+flHB3rTHOxKkQ6ZxLMzxtKU91eJYGku6XAzVtP505tNQyOaW8Ph2Ezobqdf6dK19AovXt6cCmEUSrMKYQgQb44xPstjI+KF7E6anhEw4WTIhxOUNJOoY1QUfdHKriVAyaj21k2FFibKDBdDg5G4NwgxlROlREOtmWkHAbJWjIKVpmjqFM7sgLUdnkHkt9FUN5mwUxSMEEozOBLrZSwenb7v2TimQcwxGWxKMBBJY2d7war0rE2anoE55ZEzpwxxXfOMbgVxrTI3sla1waLphTMD0LJhRuDITJXB8f4mrDVrSTpJuuLdVedYLBp9ArwQuBIYAVBK7SYozx5wivDzp3/O7/znK3n1TU9z6c8L6EMWuc9+g/imq5datIATjIgw+DcfIr+ihzfeXuKfbn0n9z/506UWK2AWIvIXwL3A3+NNPvwh4G8aOHQL8LBSaodSahL4PHDVrH1eD3xMKXUAQCm197gJXod6WX9zDdDnfQ/RlKelYIQZc5sJa2E6zSZys3KBakUmKdsg4szkHpUXTCh2+h4UX6lzDJ22tiRNEQcxahsjpq6RiTpkozauURkWNpAaIBuzaYk7NMe8c04OdKDSCcZaEhxqy1IyHKRtIxsGriTtesZml9mENaVoirB7bT+FVQNeCJk9o7wOprsg5LJvZZbixvZpD1Wx1/MQTRlYlHn6UlaI89vPp2XVAGYmga4J7bEy70nGa4OSa0JmJeK6jG47a2a7XumdEKBJj9Fbp4pfOY6hYesaL157LlndM4in0Hwjw9QqvUpPbl7NSCZJk+/1FKQidGzK0EqGvEqPkxGbJzfP5OitTlWMKXjHiHghmbrJ2GXXM3reJg63xclHvP7w9EovRN6ZVeTD6coxmfQU4ZLry2lbjGzpo5hN0Kk3eaX+yzqfo4dpi64jG3Hp0Js4EvHD9AwbSa/gQHItIkJ7aICUVRk6GbENrl6zjo6hdWjt3nHlpcZHw21szHnHTIZtmnv9kM5yBX/KoBMNxzTojnezoiy3zjF1YuEMSjMYdVvJW5GKHMfWuEu8qYWim0TNnk7WP3Wr7vWbya4kRtglnDqXkXA7AtNe1IJvYBV1iwOrz0eJhmsa2NrUdymsSq7x8qJE/NfMvYb9kMKpgiGWrkHF79JT8U1DI6mFKZhR4tGykFDXM8yyVgsH/HaqG0InXijtwYF+8nXmkxIrTCTTi4jQHUlyRvMm1qSH6DZznGH1gAjJTG76nBMru+Y81xRJLULUMdFnVRydSCdJThmWhg2JTnDi4MzIV1xzHhLO0hXrJmQ0VtDmeNCogTWplFL4XUdE6gd5evt0iMh3ReQ3fpjFW45F0ICAxeA/Hv4P/vDW3+FtnznEpgdKjJ/XQ98X7sLN9s5/cMApiWbbDH3qMxBPcMPNJf78C69jxzMPLLVYAZW8FOhTSm1TSl3ovy5q4Lg24Mmy5Z3+unIGgAER+ZGI/ERELq91IhH5XRG5W0Tu3rdv31HdRDkha25PuQIivtfo6ZXd6K1NSFmIVPesAha1kte3ZDbgGi59RnPF+kI2QX4gQ0m8cKcpNBH63RxaWQW+nngP7Vu9kf61LWdgTRksbpKiWa0WOHqE1WbHtEy2YaNrUnMkuq99Dan+CyvkL3W3A2CJyZDRQYfpe/ccCyUa406WybLKcrGNgxQHu1CGjhmxGY74ilvIoTQ7n2TqPrMzirPmWGzoSLKlfSbHRxIx9q5vg3KZNZN0ay898WrvSjbqzZXV2pMjpXnj0Eea0zjRGc/B4dgA445nGBq6xkBzFFs3vZC9MqJ6mIzdTpPdXlP2wVQfWadz2tuTNaOsCrWgfCNtc7Sb5nSCkXAHtu6d29FCdas2Cp6ng1QnRsaTMR22GYm0MhLuQJ+V62d35Aj3ef+XZixGcXUfxaHeaUXfC3mUquIZpXAEhaLNSDEeKVPWdQP8+9FlanJfT97epjCZZJh1mXUk3JmKcE1udjo/DaApvZLWWBZpWY2eaIdZnsmWZs+YKoXCRBzve22KOET9gYaQpZPwvZRG/1b2r7mQkUg3ODbWijZinVlsJ0wh2Tc9+pE3ogwarWwIdVDov5yY5uKWGcaGEarwdM5mMh5DiQ6pHg4k15HsfQ49zRsByOlxhqwO9p/7fDZeuZ2i7hJzTJK1vFkbNgFlAzaRHLZhkNZj9Dh9rM5W5xAOnLmGXEuNwhyxykfjwbYsZtQlH4lQ1B1GM+dSjHihdzoarVbndMgfZvngjmAkOnn2wusZDnfR0dlH2DLIxTczluin2FIjJ2tWF03rUdaH2yn63snedJLhTJK4NWs+LM2AcBMgJMPePGJoZv05shaJRg2sL4rIPwMJEXk98C3gX+Y5pgD8kVJqFbAVeNPsUIyAgKWiWCry4bs/xN/e8U7e/6kJVuwqceBlz+OMG7+Kbh59+dqAUwMjnWbV5/4dR2z+4OYCb/n3l7Hz0JPzHxhworgPOJrEyFqaZVWRNKAf2AZcC9woIlXXUkp9XCm1SSm1KZM59olys1GHtjnmwoo4OtmoQybiMBkNY3TW944IgtbVjBGfUVybnBSrs6tQnbPmpTIdiskQ0UiIlbko3ekwZryDdS2baTIjhNf3E1q/iuglF9N++dUMpr2wKUu3iFp+IEvTAOMpb71SUPITzYuxBJYYDLfESCfqz0Fji0nc8toxtHUrVkc7rJgZ2dZECCf6Mf3R/aRfnME1qkfSe40cTWaEybICDsrUAUVUXHJOjg7dV+rCZcpdmeGxMr0Su84ova7r6KIx2pHicJmCaJsGZ3YlCfe0ktLCRMQlM/Q8hvs8RXR/XxOHNp7HcOda8lZ82tuUDc3qQ6aBclxCRgzMauPQ1kMYmoHrFxcpxdpo7TyXnpZN7G/aDECTGcVuP4MJe0aplhoTR4+v7gVNmGiLT3tXANoN77iOVIhc3EaJTlHzFOfJjgRFv1hGh5lms7XCC9e0PFm3Zc5gQ2b99LkSXZspmjqlzmZG15zBeN+METsZDfPUmhVVcuViDm0Jl8HmmYCpiUHPYE/YCRK+0WwZGoWyPCfNjrJ2/fPpaW2GeLVx6jSnKa7qoZioLPDRlM7QmQqhiRC54AKObL2AyIpz6Et7eU+7t70Gva0Dt6+NkfPXTh93IH0GR2J9JPUITWYUscIoy6TFSKA0YZUzI4NpzLRvUbfZM9TLgS7vNxk3mzwDVjTGu59D3PFDKEXQwxGGU4NYpk5LrhmnzOAfycwy9NXMNMMdyY0M+B5Lx9Q9L9csEiETJ+QNkNRLZwslOpHzNk9X7ExZLQyGvBBmBViajT1nEQ5hItLCkcQQ+DlvQyv6GVrRy/rMeobXtc5UwAT6LG8gSFkzXnBJ9VI0XAqpJtqSMTr7n0/anvu5YmradMGcyDzVFReDRqsI/g1wM3ALMAi8Wyn1f+c55iml1H/7n48Av6F6pDAg4IQzkh/hhm+/ie9851/58KfypA8Jh9/xbs55byMRRgGnC1Z3N/3/+imahjXeeMsEr/v3F7JnZM9SixXg8X68Uu1fF5Hbpl4NHLcTKC8v1Q7srrHPrUqpvFLqUeABPINr0cnZtZWAWNs2SJclac/WgkKVo8+t4RTtg+2EN61lNqpplq3oJMBNEE7kCNkGhZ4WsMMQ74SWDWi2idmURLNttHDt4JWNuY2oc89n18WvZ6zzAlTY5eCZK5ls6+RQbhvJta9k1dWvnu/2pzFSKdz1M8r59Nw80WZWpdcwFD+HZCRNS/9lFM84f7rq4hRZPc6WaA+ry8qxj/emAUFE6I+sqMjdqkVvvJftm/6Ap7PPqdrWE/dyuGzNQLUmONSeoyvsJ98bNnSc5XmJRMjFWwgZMfLxOE+vbyMfsSlFooz3D9FyxRYKZ3XRF+kkbJue0r+2n7GB1ZRaM4z1DjI6tJ6S7+FJlHksQnplloaKtRG+8FJo3zRtWKpZlW+zUZuepsrvsC3UT2FwIyNXvZDe3pXTXhdDEyxdpylqYWhCeyLkeR5jnjGQb4lR6JsxCjXNpKCHpkvIh+wYrbFOL0TRTnJO3yY2X3Q+oUwzxXgSNL1ivqSCO1Nqf2xgNZPNbfRv20rHUJ9fsMGj6JezX920mqaITVc6jGuaHBzMoiOk/ZBCPVqdxdI5ZbCEkuBUD6SKCNuTg2yJ9ngeYr3S01owI9PesIvbzqfPr2aYqlFFb7x/FXpPB89t3UjGHwRIhczpanqH4isRJ04+7DKc9X6/CSvL2sw67z4TKWLPu4KoY5BwTYjOeDeTdhyzzFAe62menujbGyMQbFMnFbZZkU1i6xallgyFwcrqi5MdNTxHTlm7+eXTcznvO+8MD7GtYxtNdhu25pKwsuT9HLnSrLnY5go1NDV7elDB1DUMTcM1XJRl0Bltx9KF3qYwrWYCEEp2mfHoV1RUtkPsiisgUq9Az1QYqLClZQuDKT8frbmx0N3jwbwGlojoIvItpdQ3lVJvU0r9sVLqmwu5iIh0A2fgzZ81e9txDbMICKjH7uHdvOrWaxi98wd84NMF9JKL9fHPcNYrr1tq0QKWIe769XT83d/T/TS84eYRXvO5F/LM6DNLLVYAfAr4IPABZnKwPtTAcT8D+kWkR0Qs4OXAbMPsP4ALAUSkCS9kcMdxkrsu58T6iNgzymTGz63KJlZy2dArpsNc8qmV09NG7Gq7AnovnD6mKzzEQFPSH6muX15tdcsWTMOGpsHpXKJ8d8uMTy/VA8keKAujm/bylIUoGpoBtkPRjVHyldiSa4MIeSuBRHrQRMPs7gbD8QoHxecfbzV8Zbbcq9KdinJWdzNtCZcNF22luT1XMYnvquYYQ62eQpsOeQqiqWt+iN+MszIiDiktzJqmNXUEsGhqylatzoa8dWHd4pLsGl44dBbnXL2d3ECrV0gk0YEZsiiu6KDUV+1BmfIihWzTqwDp315TOgqGTmTduezLnctYpJ1icsb71O3ULm89sn4TzoXbMfyiEYiwq/15kKu8t4hrYbqVxoAhJiIQNkP0R7zztyVdRIRVLTHCZSGiLXGHvkzt9PvdrZfxdPO26QqSIhpoOl2bnkdz5wAiQkfYM+4TIYuY4003sK7NW2fpGmObVjG5cRWFTI6JvkGsjg6MTHX7A2iiMZgaRBfP+3f2+qvpa76Gda1ee4c2bpzet+APKlzW2c/atjiJ1ZfwVMv2mucN6zZNvrejr0Zp+ZLv1bSsMEZZuKReZrC7po7q307rc1/rt4X3BeuaRiHlkm+Ocs2G7Qy11jMQvOOsrm5S4coCNV2RNtYkZry7K7JR3MEcK5JttLd6/cXSNXJxG1PXMGNhVHOasO9pHVudY3TzqsrHgx8O2NX/fC+HCcB0oeMsdKvSs27rIVbGt2JqNpN2kmdy6ymYEQpmhJLoFHNt088JPVqd86SJMNHvhw5bJkknyfnRfrJTVQOT3Z7nSdfQLZfhcDfDkd45582rj9DkNqGJRuyyS3HL+sViM0/JHFBKFUVkVETiSqlDC72AiETwPF83KKUO1zj/x4GPA2zatCmY3TNg0fj+49/mT+/8Yy79rwle/L0S+3OtDH3ms6Q664euBJzexLZvp+2v/wre9r943S0HeaV2NZ97xW2k3PknywxYNJ5RSv39Qg9SShVE5M3A1wEd+KRS6n4ReR9wt1LqNn/bpSLya6AIvE0p9ezxFL4ebR0pdu306mpkYjb7hifIxWz0smqm+aZVkA7D07umk98tzfFzdR6ifPR2ThIddA08jy7gqzu+6u3ua1ya7Y/uazq0n1lxmB6PY/evwOrshIPVU47Vy+9xVg8xEt5VtX4wF2UsX2QXlROSDiYHcQ0X/Yl97GOfV7FOEzpSntLWHHdIhEzueHRmctNwWcn2c1rPoW/lBFk3wq4RC3h6epsmwnNSfTNhjnOwuTvF/idDnnHr31raTbM6sx5zz6+ItW1m7ZSxODHjZbR0jd6eHDueGa44X1jsGWV8ykMyy5uWi9m4ZmflsX67TlV5LK8uV4rEEHv+0PaR89YRmhWKuK49AS1nETXCmIe/wuYzzuQeA3YPH/YM22hlzt60Um5HoGkljE1My7eyOcbuWVqe67poYU82S9fY1JWCAV+GX1XuqxzLCwmrGsOq3af6En00Zc8AYE33OazuLHH4q3d4R1gzhuRkfzv5rmbMQt5boRts6Gnhv584MOd8V+W0Jlx2HxwDoNi8EfQR37vjRTQ0OS20Wz0w/BWijommCef2Z6HoXa8t4XIoBvvzBqMrvHtPhcIYh+e/trt2DS6/hScPeCumphwIOzDqfdY0KMUd2nrWQiZKemWOu/cICohe30PWHgAAIABJREFUvB3Zey+DTz9CqCUOe6AUtr3qo4YNTHqGlBOHjrMIOXEvbDZkgV5/fquLV+UYL+S5/5BL+LmXor73OAcTQxTPyGBMQGT8CJppcLj6J0+hLYPbtQbDD692NQsY9/LQ7ChtCYWVcDnkD0BM5Ye2J0I8Nm+rUTFP4BRSI9R2MZnXwPIZB34lIt/EryQIoJT6w3oHiYiJZ1x9Tin1paOWMiDgGCiUCnz0B+/i3x75T972lQIb7xf2bTyHc278GEaosQkKA05v4s9/AaWJcfizd/PqW57lFfJCPnfdlwMja+n4uYi8H8/7NDG1ciosvR5Kqa8CX5217t1lnxXwVv91wim0ZdgzNEnzr3fgmgZndqUI+wrq6uSZPKoO1gy/WRU/2//0UJmjpnLOnylSRpgjWrWyYWimF3p1xRbMgyNzGkvOVKjRwbnvI+FaJJTF/pHJmtsHkgM8eOBBAKLZLqKHd/Oc3kyFgaVrOj3xHkqpu7H0LFG3E2dVZdl6x9R51YZLiD5arLqGpVt0rL7MW9hxCNs3aDIxh8Guxn67mibkrBh78ocrSq+bhgPtm+f2xLVsILKzujumtAjr2hM0xxx2HumHsX0Q9cKWmuMu44USLXGXjqTQknD40cO+tdF5Djz9I4pHHvX2dXqpslB8tvameezZkYoQPFePgFagI+55PlriDjvxKg4mXd8ztvpFIMJqVSDpJEn1doFvfKNroGno/d1waKdXzc6OwtgErckQj5o6vZkwD+7qwcwfgdSxzTsUnzV31IbsGdyz9xdV+4XP3kpx//76JxNB2SZMGVhAe9JleKJA9+UXMnnXXXUPT4YsJgslnhme8AYdIpVGavnPpJbBZmhCWyLEAf+rXBtuQ9UwABpCNTB4Ui6P40CsheihJyBUmXOGm4Zcp1/S/Ii3TvfMglI4RNgMM5IfYS7CtkHYNnjruVfj6A7f/97jgPLyB0Nh9IO1f/tTWJ2dtTcYLjI5RjgZgdHKc6zuzbK+af6JipcDjRpYX/FfDSPek/kTwG+UUh9eqGABAceDXQcf4x13vJZH9+/jIzcXyD0lTL7itTznz/64ogpXQMB8JK95CUxOIO/9S37ni3u5rnQVn7r2FnKR2iEsAYvKGf57+aybCmikkuCyJx+eNfDjK1MxK0nSqu+p8CqhjfnHaRxasYW8W6lYddhJrOyGmsd3xfzQo/ixKTG6JjynN8P3HtzHwVlKkqEZrEiumDaw6DwblCI1xzNZE6E5EYK1m2pu707mYKefW7TiYkBBsVC1n2kIvU0R4iEL6vgktXBlWNP6jb/HYGmywos4L00rsJpWsGm9Ytcvd1eYxKbuTeCMpld4iBxTZ2VzzJvECConOnZiEGuj2YG804OhmTXnnwJIha2ZuYGmrikWV/Re6i2USmSjDnZv3yzrwC/rLeZMPyjbNnL+BjKpQfjlD71VfqhjxDa4bLV3HyXd4tmmTdP5MvPiX94o++4vGcpVGIdTxOw4vU2VeYVGOo2R9sMoZxkdW1u3ctdTd1FSperL+iGQhf37meqdVkul4bQiG+HIeIHOVIhDY5O+nGUDFf7AR3PMocWJ8aRsh8FZHr8pOTWTrlg3LQkDWzM4Ynp9LGnlODD5NEk7Qd1O6aMnkxRDLk4yh9rrpY+6bppWZ8YQsmMJmtwMzX3neCsSHZ4RZXjymqIzbWpalWGQeiTM+Jo+iokIF7Y/B6UUP8QbKIg5tT1AEas6lLKeJ7sm5bv7x4ZWdsE4xH7yJPlMM+FzN82Ewc7B2JkrcX/+WzTHZWWomdCZ6+vuv5jUNbBEpFMp9YRS6lNHce5zgVfieb7u8df9qT96GBCwqCil+I+ff5QP3vdxBp4o8ndfFoyCTfz/vI/WF82e9iYgoDGS116PGDrq3e/jTTc9w6sKV/Lxa2+mK1G7jHLA4qCUunD+vU5P1m3bzPhPvuUtiHBolV+kIdREJtfGQ/tGMLQn64+AHwVTpdenQvWmOKcvzehktXepgqk5fuoRatBb7NbO01jbtBYtfC9Mjs4tgxWGCTBbK71Suh0mzLyz09CX6OORg49Un5d55jmbuvf2TTCrcqGla0wWZwwEW3fJud1sX5WjuPMoBwk1DdZcA483ro71JfoIGSFsMbkitZYHyNOR2wTJURhfcPbINJau0ZEMTVcEBKYrv82mN95LPNZRc1sFfnOmnBSX91w+HQJbDyOVxG2JwfBMGKlj6pzd5xlv69oTZCIOyTLD1bV0NnWlSIQs+jNR+nOzwk01wwuza1kHj95P0klia97gR9SKsq1jG/nDB8g6XVyzYQWHn/IMrJH11QMJA7koZjaC7drYzzkbHv+v6W3ZSBuDY9OOfIx0mpUvuB49UtZnjRljfXtiFV8DlGvDCGiu69X99ik2eeF4mnjheZO9bbSym3NXzD/oootBEa+/cKDxKQSN7nPgqa8RK/NciqFzwdZr+MrYvYwnknMbV+2boFDAGRpiQ87lYLybSNeZRLeurawSeoKZz4P1H8BGABG5RSl1TaMnVkr9kPkybAMCFoFnDj7Ge+94Hd+b2MPrf1Tkoh8KheZWBv75YzgDA0stXsBJTuIl13rV1N72dt722UO8IX81f/3ym1iTDfrWiUREngesBqbLVyml3rd0Eh1fsk4DimQN7L4+7Ggenr6vcv4f3SC74XKySnFo3KL877k10soh5o2urMuKbISIY9ASd7mnLGLL1DXibm1DIBPKsG+0geJWaxpQPeIdUGcqhY5YB4cMZ24Da/WLwHoIHnxo/mvNwWBqcLpaWSNMFfGYeifZXbXPpb5nqLhrZ8X6iG1w9GYNCzawp+9r2FOaB2NdYIa81zEqsbMnxD5q5gu7i7VOy79QTF2jM13p2WwJt3AwfpD+xBxFRkVg6Ep/4f6qzSEzBBzA0cMYuobue/FKkerpAUKWUVEVswKtWpWvMK5m7y5CR7SDttathI8UvTyoHffNuX++MweduekKiPXQROeK3itqbos6BkfGqz3LAFaihU1dKfYeeKpqWzFVv38Z2Wbye57G6uqkWddpDvtexAYK6Swm8xlY5b/AYObVgGVNqVTk5u+9i7997DYihxUfutWgfXcR66KL6P6rD6BHTvw8CAGnJrErrqQrFoc3vpF3f3qE9wy/lDdc+49c3HP2/AcHHDMi8k9ACK/a343Ai4H6iRQnCZd0XcLEoT2k3R9UbWs4a6NpAFQJ0v2wa5bCIgKz5kJan1nP5Eu60SdqKz9zoZWdR0RoidfPaTXEwDXcaWX9zNyZNcO3qmjEGOg8C9SW+vJaFiJzyHicPXpVpy/7PDWHUVesC4WiO9Y953FTJa1Lc4RPuqY+lT0zJ93pMAOp+qFVDRPOQG41pGqrhJoIpVqGzhKWMFuRXMGOgzug65z6O0ZyFR6s+dBEY3V69fw7zsPscM558X93mpOAUBzDmL/AyTTpPhg/xNqMH2o5h20bt+tXODwatg1kUcDXH/vlgo+tF3LonnEG9tgYoi8ghPcEMJ+Bpeb4HBCwrHhgxzd57/ffwa8Y52W/VDzvOwaWptP8F+8j8eIXLzweOCBgHsLnXUDv57/Ajtdex7tvGucfDr2eR17y5/zeppcstWinA+copdaJyL1KqfeKyIeAU6KQkqmbXLW+nSO75p7kthbr2hMzipqmQW6o4WNFBDuagPoF9apY27SWxw4/RtpJz7+zf50LO2eiOzXRKoy0Y2ae53z0/K2wf4dXkr7jrJly1IvMqpYYe3aAHs3R0TY0nVuliUZvvLGxa6O1FX5xz/w7zqIv0Qc8QjZS/eVGtm2jNDJ3EYOaiEB21ZybLxnKMZFvwGguY312PRoav6hRxGIKs7WV0MYz5txeKWJlPxhIDjCQbCDCYMoT5x4nY7QBrtrQgJdFNG/AZIpIDjKDpHM6hYkD9CVWwK5fNVbGvLV2G25p2cL+cc/1fHnP5XPOYzUfJWfuQRZtrqTBY0R0fVkOoM9nYK0XkcN4gy+u/xl/WSmlFvYPEBBwnHlm76/5+2/dwK2Tu+ndX+IDX43Qu/MI9vpVtP/VB7G6uuY/SUDAUeKsXsvA7d/i4euv5C23HuaWfX/O2655kL+64k8Do35x8as4MCoirXjZ4T1LKM9xxVNEqvtPMmTx5P5Rwnb1SO3sCWTrEdqy+VjEm8YxHFamVh6Xc50QWtZ7OVqzS49XcXzHk/syEX67N8NkcpDu7qPzch/t82QwNUjMis2ETZWhR8J1Q8mOBsfUpz108wv3XFAl2uwohyerZvE5ahopWT+zs9eui13C2xlaRX7XLmYeXdVYXZ0YmQznhJOVhWH6L4XxspKdItC8FvQnyIVyXvGV/ku9cutHSZPbRJNfTfJoBz1GV62jVMOQXwidTponjukMy4e6BpZSann52wICfMaO7OHT37iBfz38K0oF+P3vOZz7i0l0u0j27W8n9crrEaPRIpkBAUePkc0xcPsPePyNL+OaH/2W+3Z+juufvIePvfoTJNxgDGqRuF1EEsBfA/+NpxH/y9KKtPj0NIVpilh+pcCjx8yeppUvNX3O0LajoVGlXNeEK9eupFjqX1glwoaEmH+XlkjLMV3CNY5hOpN68lkzxp3uz+s1+1ri5/000taiabgb1mOkGp8+w0gmcVYPYba1QWF4/gOOEru3F7u3F4b3VYXoTuGu9cL2MkAmWmYk2hHvVQ9n6f9rqnKlUr2eN/DxX2O2zsw3ujK9konCBLVYE25jTe8V8Kub573e2rZ448b8EhBooAEnFeNH9nDTt/+ET+3/GYcQrr3L5KK7TSLDw8SueC7Zt78dM5dbajEDTjM0y6LnE1/mmY+9j1X/eBMdH7+Pt+2+mNe87pOc27lmqcU75VBK/YX/8RYRuR1wlFLHlPN/srBQ46peYvlicVHnRUyW6s+Bs7yZ32qJXHB+xWS2jXDcjSs871g0EyHmLI46t71r+7TxczToCS9sTU8myud5riJshtmQ3UDGrSyVbuRyOENDWJ2NFX2x2hde0dXu8Z3f+ROQCTNrDq1TmraNAMSe112xutGw2PnozSy/sMByAgMr4KRgZP+jfOG7f8pnDt7LYSW8+L81LrrbIXZ4GHfjajI3vIXwlvoJzgEBi03Tm95N9OxtPPDmN/LWLx7h6w+/jDtf8Qb+9Io3ByGDxwER2Qw8qZTa4y+/CrgGeFxE3qOUmmfG0dOP81ZkKsp8nwgcw8GZK3v+pGB+RVuPHlso1PHCNnTWtC1eLpmtLyDcrgZmNkv0kovRbLuugQVeNcvZiAh27ykT/XvK0J4Mzb+Tz+n63xcYWAHLmmd23sW/fv+9fHn8MawR4aU/1Tj7Ph1nfAJnTTeZt/wh4fPOO21/wAHLD3vj+az5+n/x0A0v5bIfPcFTj/4Df/CL/+Stb/w0ven5cj8C5uGfgYsBROR84APAHwAbgI/jVRMMKMMyNCzjOBaSCAhYINpCcqIClj3PX9c65yTXx5v5Ku8vZwIDK2DZoYoF7vr5P3LTfZ/lx8VhNj6keMc9On1PFEDTiF18EalXvRL3zDMDwypgWaJF4wx+4usc/NI/M/7+j/DGzz7JHfdtZ/K63+ctz38j2hwllwPmRS/zUr0M+LhS6ha8UMGFl1gLCDiJCJ2xARn/9VKLceoT6BV10U+UdXWSExhYAcuGgwcf48s/+N/ctvPHpJ+Ac3+reO3DYOcV0pIh/fsvJP6iF2G1L+3kcQEBjZJ40e+x7qJruO+t17Htx09w+MGP8r7vfppL3vTPnLtiw1KLdzKii4ihlCoA24HfLdt28v+fhRordz7Fxs4kOw/MXZUs4NTCbGvjnKubyRe9YX13/bqFVcwLqI/lh71Fq0MVAxYb32gzKkOLp2zd1vjJF3J88v8hBZzUjOfH+N49N/KVe75A8cH9bH4Q3vOIwipAPhwl8fxLSF91JaEtm5Fg1D/gJERPNLH+k9/g0Pdu5Td//k5edsdhHr7nWv73hSt41ZtupDMdFGVZAP8OfE9EnsGrd/wDABFZAZzcRS5WXQla7b/kuSqodaRCdKQaz4UIOPmxDR3b7yZWR2OFH5YVCxxEOKGYrvc7NBY48e8SEb3owlPH26YbXlGMiP9/2Hsh5EcQES5b3Yyln3z6X2BgBZxw8qU8P9vxDb7zrY8x9qvHWbND8bonFGYRRiMhuPxyOq55PuHNm4NS6wGnDPELruKs77yAh/7unTR/9susuOlhfnjXNnZtW82rf+cfyaZOo+pSR4lS6i9F5NtAC/ANpaYj9DW8XKyTlzmUuvDZW5flJJqnInZ3N6XDh7F6gqIKi8LA5VUeimXHSWJcAWihEzu4sugpGeVTKITTgGeML+dS7PUItNeAE8JofpQfPvgV7rn9E1j3PcmaR0pc42dSHEy4PHPhdta84iWsPGtT4KkKOGURTWPgf/4fSr/3Tn7+3jcx9NWfcMaN9/Pt753P3q2dXHXdB+nuCUIH66GU+kmNdQ8uhSwnAiO9jEf8TzHEsght2rTUYpy6zDeXU0DAKURgYAUsGvtG93HHDz/Hnm9+idyDz7DmUcULJqGowb7WMI895xJWXvcazl4/uNSiBgScULRQiM0f/FcKbz/AT//yLaz81s/Y8NAT/Oz713L72hDrL76e8y76PcQKwr8CAgICAgJONgIDK+C4sefwYb56zzfYd+cXiD3wIL1PTLJ5n7dtNKw4sCLN4XNewMrrXs+a1mBUNiDASCU590OfpnjkCHd/+D10/efXWHP7KPu+/3H+8Yv/jD3Uzvbtb6Z7/QtgESYpDVi+OKtWovL5pRYjICAgAAClVFC5eQGIWkZF5jdt2qTuvvvupRYjYB7yxRKPPzvKz558lF88cCf6r79N7snH6dk5Tt9u0BXkdcXBFh1WdNF6+XX0PP9adCNQEAMC6qEKBR697f/x+L98lOZHvRjaB9ph5wpwBjo576xrWbnpxadEqI2I/FwpdUrEYwX/XQEBAacqhyYOsWdkD4Op+tFGt96zC4CrNpzalZ4b/e8KPFgBNVFKsX9kkh3PjPDA089yz54H2bvnbmK7fkFm325anhmh+6kSr37Gyy4vieJgVjh8dhNd526n+YWvR0+d2j+ygIDjjRgGvS+6lt4XXcvEzp389799jKavf43BO8fhzid47Msf5M7uDzDZHiY1tInzt7yMzv4LAu9WQEBAQMCiELfjxO34Uotx0hF4sE5jiiXFroPD/HbvHh7Z+zi7n32EZw7toLT3EdwDTxMdHiZ+ZJKm/SU690HugGdMAYw7MNZqEe1vp+Ps7UQvfDF6rnNJ7ycg4FREKcXEI49w75duYvg7XyP7+AF0BUWBx3LwVA7GmmykrY34qs2sPeMSVrZvxDXcpRa9LoEHKyAgIODU4eDoJCJC3K09rcSpQqP/XYtqYInI5cDfATpwo1LqA/X2D/6kjp58Kc/w5DDDE4d59shT7D2wm32H9rD/4F6G9+9h4vB+CsOHKY4dgfExzLE89miJ8KgiPgKJEUViGNJHwCzOnFcBo0kd2mJEezrJrjuL8ObtmINrg1jcgIAloDg8wv677+L+r36R0r2/IPHUYdyJmef4sANPJ+BwVCiELPKRMFoiQTieJdHURjKZxTlzI+FcKxEzQsSM4BruCf89BwZWQEBAQMDJxpKHCIqIDnwMuATYCfxMRG5TSv16sa45G6UUSnlGglIKNb0eisNHKI2Ne+uLJUqqSKlYQilFqVhEqRKq5C1TLFFCoQpFb3n/o8joXm97qYQqKkqlkvcqFr33QoFS0V8uFCkWCxTKX4UCxeLMq1QqUioWKRTzFEtFivlJVH4ClZ+EQh4KBSgUkWIRiiW0QgkpKaSo0IoKreQZRkYRzAJEJyE3AVahfhtNOkI+YkIshLUiTqi5hcSKVTgD67F6BzFbWxHr5JkXIiDgVEePhMlsu5Bt2y4EvGdbftcunvzxnez8+Z2MP/EI7rP7STw7ib1rnNDYOJraD+yYPsf7rtW4r3tmOgRRYGNgiomBji4Gmnjvuhi4psn5zWu5YfB6Lxwx0elNyhkQEBAQEBBQxWLmYG0BHlZK7QAQkc8DVwGLZmCd/f5vs+fwOLWcclb6TqzMN8A3s950e4Ft9y1+eKTmvwzAPorjiwIFwyttXtChpENRB6V572hCSddB18EyEMNADJuJkEspEsOOJYmkM8SzrYQzzejpFrRoDKMpjZ5OowXGU0DASY2IYLW30/eS6+l7yfUV21Qxz6HdO9j7wL3s3/1bDj/zMOPDe7gyNMJl+0cpqlGKMs6ElBjVhFFNowDkRSiIUADvXcDc/Uv4zse8E/+Pb0LHlhN+rwEBAQEBAScDixYiKCIvBi5XSr3OX34lcJZS6s2z9vtd4Hf9xUHggUURaPFpAp5ZaiFOAoJ2aoygneYnaKPGWK7t1KWUyiy1EMcDEdkHPH6Mp1mu39NSErRJNUGb1CZol2qCNqnmeLRJQ/9di+nBqhXQX2XNKaU+Dnx8EeU4IYjI3adKPsFiErRTYwTtND9BGzVG0E6Lz/EwFIPvqZqgTaoJ2qQ2QbtUE7RJNSeyTbT5dzlqdgIdZcvtwO5FvF5AQEBAQEBAQEBAQMCSspgG1s+AfhHpERELeDlw2yJeLyAgICAgICAgICAgYElZtBBBpVRBRN4MfB2vTPsnlVL3L9b1lgEnfZjjCSJop8YI2ml+gjZqjKCdTg6C76maoE2qCdqkNkG7VBO0STUnrE2W1UTDAQEBAQEBAQEBAQEBJzOLGSIYEBAQEBAQEBAQEBBwWhEYWAEBAQEBAQEBAQEBAceJwMBaICJyuYg8ICIPi8if1Nj+GhHZJyL3+K/XLYWcS8187eTv81IR+bWI3C8iN51oGZeaBvrS35b1owdF5OBSyLnUNNBOnSLyXRH5hYjcKyJXLIWcS00D7dQlIt/22+hOEWlfCjkDqmnkeXmqICId/u/1N/6z/y3++pSIfFNEHvLfk/56EZG/99vmXhHZWHauV/v7PyQir16qezoeiIjuP8Nu95d7ROSn/r19wS8WhojY/vLD/vbusnO8w1//gIhctjR3cvwQkYSI3Cwiv/X7y9lBP5H/6f9u7hORfxcR53TrKyLySRHZKyL3la07bv1CRM4UkV/5x/y9iNSadmp+lFLBq8EXXrGOR4BewAJ+CQzN2uc1wEeXWtaToJ36gV8ASX85u9RyL7c2mrX/H+AVilly2ZdbO+Elrb7R/zwEPLbUci/Tdvp/wKv9zxcBn1lquYPXwp8FJ/sLaAE2+p+jwIP+7/avgD/x1/8J8EH/8xXAHXhza24FfuqvTwE7/Pek/zm51Pd3DO3yVuAm4HZ/+YvAy/3P/1T2jPt94J/8zy8HvuB/HvL7jg30+H1KX+r7OsY2+RTwOv+zBSRO534CtAGPAm5ZH3nN6dZXgPOBjcB9ZeuOW78A7gLO9o+5A3ju0cgZeLAWxhbgYaXUDqXUJPB54Kollmk50kg7vR74mFLqAIBSau8JlnGpWWhfuhb49xMi2fKikXZSQMz/HOf0nG+vkXYaAr7tf/5uje0BS8Np9b+ilHpKKfXf/ucjwG/wFMer8BRq/Per/c9XAZ9WHj8BEiLSAlwGfFMptd//H/kmcPkJvJXjhu9Nfh5wo78seIMgN/u7zG6PqXa6Gdju738V8Hml1IRS6lHgYby+dVIiIjE8RfoTAEqpSaXUQU7jfuJjAK6IGEAIeIrTrK8opb4P7J+1+rj0C39bTCn1Y+VZW58uO9eCCAyshdEGPFm2vNNfN5trfFfkzSLSUWP7qU4j7TQADIjIj0TkJyJyMj/wjoZG+xIi0oU3yvSdEyDXcqORdnoPcL2I7AS+iuftO91opJ1+CVzjf34hEBWR9AmQLaA+DT8LTjX8kKUzgJ8COaXUU+AZYUDW322u9jmV2u0jwP8CSv5yGjiolCr4y+X3Nn3f/vZD/v6nUnuA59HdB/yrHzp5o4iEOY37iVJqF/A3wBN4htUh4OcEfQWOX79o8z/PXr9gAgNrYdSKw5xd5/4/gW6l1DrgW8xY1KcTjbSTgRcmuA3PO3OjiCQWWa7lRCNtNMXLgZuVUsVFlGe50kg7XQv8m1KqHS8c4DMicro92xpppz8GLhCRXwAXALuAQtVRASeahTwLThlEJALcAtyglDpcb9ca61Sd9ScVIvJ8YK9S6uflq2vsqubZdkq0RxkGXhjYPyqlzgBG8EK/5uKUbxc/r+gqvAHXViAMPLfGrqdbX6nHQtvguLXN6aaEHCs7gXKPVDuzwpGUUs8qpSb8xX8BzjxBsi0n5m0nf59blVJ530X9AJ7BdbrQSBtN8XJOz/BAaKyd/gdeDDpKqR8DDtB0QqRbPjTybNqtlHqRr6z8mb/u0IkTMWAOFvIsOCUQERPPuPqcUupL/uqn/fAc/PepsPG52udUabdzgStF5DG88NCL8DxaCT8MDCrvbfq+/e1xvHCpU6U9ptgJ7FRK/dRfvhnP4Dpd+wnAxcCjSql9Sqk88CXgHIK+AsevX+z0P89ev2ACA2th/Azo9yu2WHiK723lO0x9wT5X4sWXn27M207AfwAXAohIE17I4I4TKuXS0kgbISKDeAmYPz7B8i0XGmmnJ4DtACKyCs/A2ndCpVx6Gnk2NZV59t4BfPIEyxhQm4aeBacKfg7IJ4DfKKU+XLbpNmCqktergVvL1r/Krwa2FTjkhwB9HbhURJL+yP6l/rqTCqXUO5RS7Uqpbrzv/jtKqVfg5Um+2N9tdntMtdOL/f2Vv/7lfuW4HrwBy7tO0G0cd5RSe4An/f9A8J7xv+Y07Sc+TwBbRSTk/46m2uS07is+x6Vf+NuOiMhWv41fVXauhXGs1TxOtxdeCNKDeFVX/sxf9z7gSv/z+4H78fIdvgusXGqZl2k7CfBhvIfDr/Ar4JxOr/nayF9+D/CBpZZ1ObcTXvGGH/m/uXuAS5da5mXaTi8GHvL3uRFdbjZJAAAA+klEQVSwl1rm4DX3d3eqvoDz8EJu7vV/r/f495/GK8LykP+e8vf//+3csU3EQBBA0X8R1HEVEFwBtAKUQUQPUAENUAgZBCAdMUWQEOxKXHysBNK9JzmwLa/Wowk89no21cOMzUu1OxjruvGD/r66+ut7WxCby366CG4bD737RgfQs3n8fO7v5/ntwfW3M07vHdn57D9t1UX1PHPlqfGy8aTzpLqr3qrX6rHRCfCkcqWxouez+mp8cbpZmRfVbsb3o7qvNsfMczMHAwAA4JcsEQQAAFhEgQUAALCIAgsAAGARBRYAAMAiCiwAAIBFFFgAAACLKLAAAAAW+QZfdnTLkr5T0gAAAABJRU5ErkJggg==\n", 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\n", 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" ] @@ -1253,10 +1236,9 @@ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [p]\n", - "Sampling 4 chains: 100%|██████████| 42000/42000 [00:07<00:00, 5921.57draws/s]\n", - "/opt/miniconda3/lib/python3.7/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", - "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", - " alternative='`bottom`', obj_type='argument')\n" + "Sampling 4 chains: 100%|██████████| 42000/42000 [00:07<00:00, 5619.20draws/s]\n", + "The acceptance probability does not match the target. It is 0.8897717351599277, but should be close to 0.8. Try to increase the number of tuning steps.\n", + "The acceptance probability does not match the target. It is 0.8937936259844127, but should be close to 0.8. Try to increase the number of tuning steps.\n" ] }, { @@ -1268,7 +1250,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -1294,12 +1276,330 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "np.save('data/votes.npy', stats.bernoulli(0.68).rvs(1000))" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## A/B/C testing\n", + "\n", + "* Three different colors are tested for the Xomnia website, and randomly assigned to visitors (not uniformly)\n", + "* Should we switch colors?\n", + "* Assume Xomnia goes bankrupt if we don't get at least 35 calls. We expect 1000 visitors next month, what is the probability that we don't make it? Which color should we use?\n", + "\n", + "color | number of visitors | number of calls\n", + "--- | --- | ---\n", + "blue | 2000 | 35\n", + "red | 500 | 8\n", + "green | 1000 | 18" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "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: [p]\n", + "Sampling 4 chains: 100%|██████████| 42000/42000 [00:07<00:00, 5808.91draws/s]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Simple model for one color\n", + "\n", + "with pm.Model():\n", + " \n", + " # prior\n", + " p = pm.Uniform('p', lower=0, upper=1)\n", + " conversions = pm.Binomial('conversions', 2000, p, observed = [35])\n", + " \n", + " samples = pm.sample(10000)\n", + " \n", + "pm.traceplot(samples);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Combining parameters\n", + "\n", + "* You can easily combine multiple parameters and observations in the same model" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "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: [p]\n", + "Sampling 4 chains: 100%|██████████| 42000/42000 [00:07<00:00, 5600.55draws/s]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "with pm.Model():\n", + " \n", + " p = pm.Uniform('p', lower=0, upper=1, shape=3)\n", + " conversions = pm.Binomial('conv', [2000, 500, 1000], p, observed = [35, 8, 18])\n", + " \n", + " trace = pm.sample(10000)\n", + " \n", + "pm.traceplot(trace)\n", + "\n", + "blue = trace['p'][:, 0]\n", + "red = trace['p'][:, 1]\n", + "green = trace['p'][:, 2]" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/miniconda3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 4))\n", + "sns.distplot(blue, color='blue', hist=False)\n", + "sns.distplot(red, color='red', hist=False)\n", + "sns.distplot(green, color='green', hist=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Posterior samples\n", + "\n", + "* `pymc3` does not generate a real distribution, but samples from the posterior distribution.\n", + "* With those samples you can \n", + " * Understand the data, draw conclusions\n", + " * Generate predictions\n", + "\n", + "## Exercise\n", + "1. What is the probability that the conversion rate of blue is higher than 2%?\n", + "2. Which color should we choose?\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.2357" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(blue > 0.02).sum() / blue.shape[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "calls = stats.binom(n=1000, p=blue).rvs()\n", + "fig = plt.hist(calls, bins=calls.max() - calls.min())" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[16, 23, 17, ..., 19, 24, 19],\n", + " [13, 19, 23, ..., 8, 28, 17],\n", + " [17, 20, 20, ..., 21, 10, 29]])" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "calls = stats.binom(n=1000, p=np.stack([blue, red, green])).rvs()\n", + "calls" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0, 40)" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(16, 8))\n", + "plt.title('Calls histogram per color')\n", + "plt.hist(calls.T, (calls.max(1) - calls.min(1)).min(), color='brg', ec='black')\n", + "plt.xlabel('Calls')\n", + "plt.xlim(0, 40)" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0.00165 0.019875 0.009775]\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "mean = (calls > 35).mean(1)\n", + "print(mean)\n", + "\n", + "plt.figure(figsize=(16, 8))\n", + "plt.title('Probability of evading bankrupty')\n", + "plt.bar(np.array(list('brg')), mean, color='brg', ec='black')\n" + ] } ], "metadata": {