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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Лабораторная 7"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Информация о диабете индейцев Пима"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Index(['Pregnancies', 'Glucose', 'BloodPressure', 'SkinThickness', 'Insulin',\n",
+ " 'BMI', 'DiabetesPedigreeFunction', 'Age', 'Outcome'],\n",
+ " dtype='object')\n"
+ ]
+ },
+ {
+ "data": {
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\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " Pregnancies | \n",
+ " Glucose | \n",
+ " BloodPressure | \n",
+ " SkinThickness | \n",
+ " Insulin | \n",
+ " BMI | \n",
+ " DiabetesPedigreeFunction | \n",
+ " Age | \n",
+ " Outcome | \n",
+ "
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768 rows × 9 columns
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+ "
"
+ ],
+ "text/plain": [
+ " Pregnancies Glucose BloodPressure SkinThickness Insulin BMI \\\n",
+ "0 6 148 72 35 0 33.6 \n",
+ "1 1 85 66 29 0 26.6 \n",
+ "2 8 183 64 0 0 23.3 \n",
+ "3 1 89 66 23 94 28.1 \n",
+ "4 0 137 40 35 168 43.1 \n",
+ ".. ... ... ... ... ... ... \n",
+ "763 10 101 76 48 180 32.9 \n",
+ "764 2 122 70 27 0 36.8 \n",
+ "765 5 121 72 23 112 26.2 \n",
+ "766 1 126 60 0 0 30.1 \n",
+ "767 1 93 70 31 0 30.4 \n",
+ "\n",
+ " DiabetesPedigreeFunction Age Outcome \n",
+ "0 0.627 50 1 \n",
+ "1 0.351 31 0 \n",
+ "2 0.672 32 1 \n",
+ "3 0.167 21 0 \n",
+ "4 2.288 33 1 \n",
+ ".. ... ... ... \n",
+ "763 0.171 63 0 \n",
+ "764 0.340 27 0 \n",
+ "765 0.245 30 0 \n",
+ "766 0.349 47 1 \n",
+ "767 0.315 23 0 \n",
+ "\n",
+ "[768 rows x 9 columns]"
+ ]
+ },
+ "execution_count": 7,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "import pandas as pd\n",
+ "import numpy as np\n",
+ "import skfuzzy as fuzz\n",
+ "import matplotlib.pyplot as plt\n",
+ "from skfuzzy import control as ctrl\n",
+ "\n",
+ "df = pd.read_csv(\".//scv//diabetes.csv\")\n",
+ "print(df.columns)\n",
+ "df"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Создаем лингвистические переменные"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Входные: age(возраст) и bmi(ИМТ)\n",
+ "\n",
+ "Выходные: glucose(давление)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "age = ctrl.Antecedent(np.arange(df[\"Age\"].min(), df[\"Age\"].max() + 1, 1), \"age\")\n",
+ "bmi = ctrl.Antecedent(np.arange(df[\"BMI\"].min(), df[\"BMI\"].max() + 0.1, 0.1), \"bmi\")\n",
+ "glucose = ctrl.Consequent(np.arange(df[\"Glucose\"].min(), df[\"Glucose\"].max() + 0.1, 0.1), \"glucose\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Настраиваем их"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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N2XJuC5O3TOb+pvczpOUQteOoSoqbSooJ0bLLEsfdJK+F+s3Ay/b6XIUKGkRB3TA4ILOmhDCl45eOM2bdGDoGdGR8x/E2sZbNjUhxU0kxIVr2n82hqNSCZoIoiqHlRrqkhKloNIaBxYd+hTIr2XBWCDN34fIFnl7zNAHuAUy/ZToOdg5qR1KdFDeVFBOipVSncOBcjtpRKu9iMuSclvVthGlFJkBR9j+70Ashak2ZvowX179Isa6YWbfPwt3JXe1IZkGKm0pq7u+Bq6O9ZY27SV4Ldo4Q0kXtJMKW+LaE+k2la0oIE3h/1/vsztjNjB4z8K/jr3YcsyHFTSU52NvRJtjbsoqblEQI7gjOUskLE7rSNXV4OZRa6PIJQliA30/8zlcHv+L5ds8T4xejdhyzIsVNFbQN8WbXqWwURVE7ys3pSuHEBmjcQ+0kwhZFJkBxLiSvUTuJEFbp2KVjTNo8ibsa3cVDLR5SO47ZkeKmCmJCtFzIL+Z01mW1o9zcmZ1QkgdhMt5GqMCnGfhGyIJ+QtSCvJI8nlv3HEEeQUyKnWTzM6OuRYqbKogO/nsxP0uYEp68Fly8IaCN2kmErYqIhyO/Q6kFfBgQwkLoFT0vb3yZrMtZzOwxEzdHN7UjmSUpbqpAW8eJxj51LGPcTUoihHUHG9neXpihyAQoyYdjq9ROIoTV+Hzf56w7vY6p3abS0LOh2nHMlhQ3VRQTojX/4uZyNpzdJVPAhbrqNQb/1rBfZk0JYQybzm7io78+4smoJ+ke3F3tOGZNipsqattQy+G0XPKLzXjvnBN/gqKXLReE+iLi4ehKKClQO4kQFu1s/lnGbhhLl8AujIgaoXYcsyfFTRXFhGjRK7DndLbaUa4vJdGwBL42RO0kwtZFxEPZZTi6Qu0kQlisorIinkt8DndHd6Z1m4adRv7rvhl5haqosY87ni4O/GXOg4qT10qXlDAPdRtBQFvpmhKiBqZtn0ZKTgozb52Jl7OX2nEsghQ3VWRnp6G5vydH0/PVjnJtWSfg0knpkhLmIzIBjq2Goly1kwhhcVadXMVPx35ifIfxNK/bXO04FkOKm2po7OvOsQwzLW5SEkFjD426qZ1ECIOWA0BXbJgWLoSotPP553lty2v0DOlJQniC2nEsihQ31dDE152UzHx0ejNcqTh5LQS1AxdpuhRmwjsYgjrIgn5CVEGZvoxxG8bh7ujOpM6yUF9VqV7czJo1i9DQUFxcXOjYsSPbt2+/4fkzZ86kWbNmuLq6EhwczHPPPUdRkWn3rwn3dae4TM/ZS2a2OJleZ5gpJeNthLmJTIDjfxiWKRBC3NScvXPYnbmbt295G08nT7XjWBxVi5tFixYxZswYJk2aRFJSElFRUfTq1YuMjIxrnr9gwQLGjRvHpEmTOHToEHPnzmXRokW8/PLLJs3dxNewEeWxjDyT3vemzv0FRTky3kaYn5b9QV9m2ExTCHFDSelJzN47mydbP0m0b7TacSySqsXNe++9x/Dhwxk2bBgtW7Zk9uzZuLm5MW/evGuev3nzZrp06cKDDz5IaGgoPXv2ZNCgQTdt7TG2Bl4u1HGy57i5jbtJXgvOnhAou8MKM+MZAA1j4YDMmhLiRnKKcxi3YRxtfNowvPVwteNYLNWKm5KSEnbt2kVcXNw/YezsiIuLY8uWLde8pnPnzuzatau8mElJSeG3337jrrvuuu59iouLyc3NrfBVUxqNhia+7mZY3CRCo1vA3kHtJEJcLTIBUtZBYZbaSYQwS4qi8MaWN8gvzWdat2k42MnP8upSrbi5cOECOp0OPz+/Csf9/PxIS0u75jUPPvggb7zxBl27dsXR0ZHGjRvTo0ePG3ZLTZ06FS8vr/Kv4OBgo+Q3uxlTxXlwZjuE9VA7iRDX1rK/YeXsQ8vUTiKEWVp8fDGrTq3itdjXaODeQO04Fk31AcVVsW7dOqZMmcLHH39MUlISP//8M8uXL2fy5MnXvWb8+PHk5OSUf50+fdooWZr4upOckY+imMmMqZMbDWMaZDCxMFfuvhDaVbqmhLiGlJwUpm2fxj3h99AztKfacSyeam1e9evXx97envT09ArH09PT8ff3v+Y1r776KoMHD+bxxx8HoFWrVhQUFPDEE0/wyiuvYGd3da3m7OyMs7Oz0fOH+3qQV1xGRl4xfp4uRn/+KktOBO+Ghm0XhDBXEfGw/HnIzwR3H7XTCGEWSnQljP1zLP51/Hmp/Utqx7EKqrXcODk5ERMTw5o1a8qP6fV61qxZQ2xs7DWvKSwsvKqAsbe3BzB5C8qVGVNmM+4mea1hlpSshSDMWYv+gAYOLVU7iRBmY2bSTJKzk3nnlndwc3RTO45VULVbasyYMcyZM4cvv/ySQ4cOMWLECAoKChg2bBgAQ4YMYfz48eXn33333XzyyScsXLiQEydOsHr1al599VXuvvvu8iLHVIK1rjjZ23Es3Qymg2efhovHpEtKmL869SCsuyzoJ8TfdqTt4OuDXzOq7SjZXsGIVB2KPXDgQDIzM5k4cSJpaWm0adOGFStWlA8yTk1NrdBSM2HCBDQaDRMmTODs2bP4+Phw991389Zbb5k8u4O9HWE+dTieaQYtNymJgMYwU0oIcxeRAEtHQl4aeFy7C1oIW1BYWsjETRNp69uWwS0Hqx3HqmgUsxkRaxq5ubl4eXmRk5ODp2fNVn18ekESF/OLWfjEtbvRTOaHYZB9CoavVTeHEJVRmAXTw6HXFOj4f2qnEUI1U7ZNYfGxxfzU7ycaejZUO45VsajZUuamiY8ZrHWj1xvWDpFViYWlcKtr6EKVrilhw7af3853h79jdMxoKWxqgRQ3NdDE150L+SVkF5aoFyJtD1zOkvE2wrJEJEDqFsg5q3YSIUyusLSQiZsnEuMXw6Dmg9SOY5WkuKmBcD8zmDGVnAiOdSCovXoZhKiq5neBvRMcXKJ2EiFM7r1d75FVlMXkzpOx08h/w7VBXtUaaFS/DnYa1F2pOCXRsDCag5N6GYSoKhcvaBIH+2VBP2Fbtp3fxqIjixjddjTBnsZZMV9cTYqbGnB2sKdhXTf1Wm5KCiF1q3RJCcsUkQBnd8KlU2onEcIkCkoLmLhpIu392/NA8wfUjmPVpLipoSa+HuoVN6c2g64EGstgYmGBmvUGBxfpmhI2Y8bOGVwqvsQbnd+Q7qhaJq9uDam6O3jyWvAMhPpN1bm/EDXh7AHhd0jXlLAJm89t5oejPzAmZgxBHkFqx7F6UtzUUBNfd85mX6aguMz0N09JlC0XhGWLSIDzuyErRe0kQtSa/JJ8Jm2eREf/jtzf7H6149gEKW5qKPzvPaZSMgtMe+O8NMg4KF1SwrI17QWObrLmjbBq03dOJ7c4l9e7vC7dUSYir3INNf67uDmWYeI9ppITDb+G9TDtfYUwJqc60LQ37JfiRlin7ee389Oxn3i+3fMEugeqHcdmSHFTQ+7ODjTwcjH9uJuURPBvDXXqm/a+QhhbRDyk74MLx9ROIoRRlehKmLx1Mm1923Jv03vVjmNTpLgxApMPKlYUQ8uNdEkJaxB+Bzi5S9eUsDpz983lTP4ZJsZOlO4oE5NX2whMXtykH4CCDFnfRlgHR1dodpfMmhJW5UTOCebsm8OwiGE09m6sdhybI8WNETTxdedUViElZXrT3DAl0bA+SHAn09xPiNoWEQ+ZhyDjkNpJhKgxRVF4c+ub+Ln58UTrJ9SOY5OkuDGCcF8PdHqFkxdNNGMqeS2EdAFHF9PcT4ja1uR2cPaS1hthFZalLGN72nZe7fQqLg7yc1oNUtwYQRNfE26gWVpkWJlYxtsIa+LgDM37GMbdKIraaYSotuyibKbvmM6dje6kc2BntePYLClujKBuHSfq1nHiWLoJipvTW6GsSMbbCOsTmQAXj0H6frWTCFFt7+16jzJ9GS+1f0ntKDZNihsjaeLjzvFMExQ3yWvB3Q98W9b+vYQwpUbdwcVbuqaExdqZtpPFxxczOmY09V1lmQ41SXFjJE38TDRjKjnRsHCfbLkgrI2DE7S4W7qmhEUq1ZUyeetkonyiZE0bMyDFjZE08XEnOTMfnb4WfyjnZ0LaXumSEtYrMgEunTDsNyWEBfniwBek5qbKmjZmQv4GjKSJrzslZXrOXCqsvZucWG/4VbZcENYq9BZwqyddU8KipOam8umeTxkcMZim2qZqxxFIcWM04X4mmDGVnAi+EeDhX3v3EEJN9g7Qoh8cWCJdU8IiXFnTxsfNhydbP6l2HPE3KW6MxN/TBXdnB47VVnGjKIbBxDIFXFi7yATISYWzu9ROIsRNrTy5ki3nt/BKx1dwc3RTO474mxQ3RqLRaGjsU6f2Wm4uHIW8cxAmxY2wciFdDDMCpWtKmLnC0kKm75zObcG30S2om9pxxL9IcWNETXw9aq+4SV4L9k4QIotCCStnZw8t+xtmTelNtKWJENUwd/9cLhVd4oX2L6gdRfyHFDdGdGUDTaU2xgokJ0LDTuAkzZ7CBkTEG1oqT29TO4kQ13Qm7wzz989naMRQgj2C1Y4j/kOKGyNq4utOfnEZ6bnFxn3ishI4uVGmgAvbEdwJPAIMrTdCmKEZO2fg7eLN460eVzuKuAYpbowovLb2mDqzHUoLZLyNsB12dhAxAA4uAb1O7TRCVLD1/Fb+SP2DMTFjZBCxmZLixoiC67rh5GDHsYw84z5xcqJh7Q//1sZ9XiHMWUQ85KcbNooVwkyU6ct4e/vbRPtGc1eju9SOI65DihsjsrfTEFa/FmZMpfy95YKd/HUJGxLUHryC4YDMmhLmY9GRRSRnJzO+w3g0sg2O2ZL/LY2ssa+R95gqzIKzSdIlJWyPRvN319RS0JWpnUYILhVdYtbuWSSEJ9CiXgu144gbkOLGyMJ9DXtMGc2JPwFFFu8TtikiAQovwMkNaicRgg//+hAUeLbts2pHETchxY2RNfF150J+CZcKSozzhMlroX5T8AoyzvMJYUkCokEbKl1TQnWHsw7z49EfGdFmBHVd6qodR9yEFDdG1uTKjCljtN4oyt/jbaTVRtgojcYwsPjQMtCVqp1G2ChFUZi6bSqNvBrxQPMH1I4jKkGKGyNrVL8OdhojTQfPSoHsVFnfRti2iAS4fAlS1qudRNiolSdXkpSRxNgOY3G0c1Q7jqgEKW6MzNnBnpB6dTiWboTiJnkt2DlAaJeaP5cQlsq/FdRrIl1TQhVX9o+6NfhWOgfI9jeWQoqbWtDYx9043VIp6yCoAzh71Py5hLBU5V1Tv0KZkVf/FuImvjjwBVlFWbzY7kW1o4gqkOKmFjSq70bqxYKaPYmuzDBTSrqkhDB0TRXnGFozhTCRjMIMvjzwJQ+3fJhgT9k/ypJIcVMLgrRunM2+jF5fgw00z+6C4lyZAi4EgF9L8Gkue00Jk/p498c42zvL/lEWSIqbWhCkdaVUp5CRV4Mm9JREcPEyTIUVQhhabw7/BqVFaicRNuD4peMsPr6Y/2v9f3g6eaodR1SRFDe1ILiuYSO1M5cKq/8kyWuhUXewszdSKiEsXEQ8lOTB8dVqJxE2YGbSTALqBDCw2UC1o4hqkOKmFgR6uwJw5tLl6j1BUQ6c2SldUkL8m09T8IuE/TJrStSuHWk7WH9mPaPajsLRXqZ+WyIpbmpBHWcH6tZxqn7LzYkNoOhkMLEQ/xURD0dXQkkNWkWFuAG9omfGzhlE1oukZ2hPteOIapLippYEaV2r33KTkgjaRoZl54UQ/4iIh9ICOLZS7STCSq06uYoDFw8wpt0Y7DTyX6Slkr+5WlKj4iY5UbqkhLiWeo2hQZR0TYlaUaIrYWbSTLoHdae9f3u144gakOKmlgRp3ThdnW6pS6cgK1m6pIS4nogEOLYKio2wUKYQ//L9ke85X3Ce52KeUzuKqCEpbmpJkNaVc9mX0VV1rZuURNDYQWi32gkmhKWLiIeyIji6Qu0kworkluQye+9s4pvE09i7sdpxRA1JcVNL/lnrpoprciQnQmA7cPWulVxCWDxtiOHfiHRNCSOau28uJboSnmrzlNpRhBFIcVNLgrVX1rqpwrgbvc6wn5SMtxHixiITDOvdFOWonURYgfP55/nm4DcMaTkEXzdfteMII5DippYEaq+sdVOFcTfnd0NRNoRJcSPEDbXsD7oSOPK72kmEFfho90e4O7kzLHKY2lGEkUhxU0vcnByoV8eJM1lVaLlJXgtOHhDUrvaCCWENvIIguJN0TYkaO5J1hGXJyxgRNYI6jnXUjiOMRIqbWlTl6eDJ66BRN5AVMYW4ucgEwweCy5fUTiIs2Pu73ifEM4R7mt6jdhRhRFLc1KIqTQcvzofT22QKuBCV1bI/6Mvg0K9qJxEWamfaTjad28TI6JE42smHSmsixU0tqlLLzalNoC+V8TZCVJaHP4R0gQOL1U4iLJCiKHz414e0qNuCuJA4teMII5PiphZVaa2b5ETwCjaswCqEqJzIeMMMw4KLaicRFmbLuS0kZSTxTPQzss2CFZK/0VoUpHWjTK+QnluJtW6S1xqmgGs0tR9MCGvRoj+gwKGlaicRFuRKq02UTxTdAmXBVGskxU0tCq57ZTr4Tbqmcs7ChSPSJSVEVbn7QKNb4IDMmhKVt+70OvZf3M/I6JFo5AOlVZLiphYFel9ZyO8mg4pT1gEaCOtR25GEsD4RCXByI+RnqJ1EWAC9ouej3R/Rwb8DHRt0VDuOqCVS3NQiVyd76rs73bzlJnktBLQBt7omySWEVWlxt2E/toO/qJ1EWIBVJ1dx9NJRRkaPVDuKqEVS3NSyQK0bp7Nu0HKj1xtabqRLSojqcatraPWUWVPiJsr0ZczaPYtugd1o49tG7TiiFklxU8tuOh08fR8UXpD1bYSoiYgEOLUZcs+rnUSYseUpyzmZe5Kno59WO4qoZVLc1LIgrStnsm/QcpOcCI5uENzBdKGEsDbN+4Cdg3RNiesq1ZXyyZ5PiGsYR0S9CLXjiFqmenEza9YsQkNDcXFxoWPHjmzfvv2G52dnZ/P000/ToEEDnJ2dadq0Kb/99puJ0lZdkNaN89lFlOn01z4hJRFCu4KDs2mDCWFNXL2hye0ya0pc1+LjizmXf46n20irjS2odnGzZs0a+vbtS+PGjWncuDF9+/bljz/+qNJzLFq0iDFjxjBp0iSSkpKIioqiV69eZGRce9ZDSUkJd9xxBydPnuTHH3/kyJEjzJkzh8DAwOp+G7UuSOtqWOsmr/jqB0svw6ktMt5GCGOISDBsYZJzRu0kwswU64r5dO+n3BV2F020TdSOI0ygWsXNxx9/TO/evfHw8GDUqFGMGjUKT09P7rrrLmbNmlXp53nvvfcYPnw4w4YNo2XLlsyePRs3NzfmzZt3zfPnzZtHVlYWS5YsoUuXLoSGhtK9e3eioqKq822YRLD27+ng1xpUfGoz6IoNi/cJIWqm2Z1g7ywDi8VVvj/yPRcvX2RE1Ai1owgTqVZxM2XKFN5//32+++47nn32WZ599lkWLFjA+++/z5QpUyr1HCUlJezatYu4uH/29LCzsyMuLo4tW7Zc85qlS5cSGxvL008/jZ+fH5GRkUyZMgWdTnfd+xQXF5Obm1vhy5SCtDdYyC95LXg0AJ/mJs0khFVy8YTwO2C/dE2JfxSWFvL5vs/p36Q/IZ4hascRJlKt4iY7O5vevXtfdbxnz57k5ORU6jkuXLiATqfDz8+vwnE/Pz/S0tKueU1KSgo//vgjOp2O3377jVdffZUZM2bw5ptvXvc+U6dOxcvLq/wrODi4UvmMxcXRnvruztcubq5MAZcVMoUwjsgEOJcEl06qnUSYiQWHF5Bbksv/tf4/taMIE6pWcdOvXz8WL7666feXX36hb9++NQ51PXq9Hl9fXz777DNiYmIYOHAgr7zyCrNnz77uNePHjycnJ6f86/Tp07WW73qCtK6c/u8qxXnpkL5fpoALYUzhvcDBVbqmBAB5JXl8sf8L7mt6HwHuAWrHESbkUJ2LWrZsyVtvvcW6deuIjY0FYOvWrWzatInnn3+e//3vf+XnPvvss9d8jvr162Nvb096enqF4+np6fj7+1/zmgYNGuDo6Ii9vX35sRYtWpCWlkZJSQlOTk5XXePs7Iyzs7ozkQxr3fynuElZZ/hVtlwQwnic3aFpL0PXVNfn1E4jVPbd4e8oKivi8VaPqx1FmFi1ipu5c+ei1Wo5ePAgBw8eLD/u7e3N3Llzy/+s0WiuW9w4OTkRExPDmjVrGDBgAGBomVmzZg3PPPPMNa/p0qULCxYsQK/XY2dnaHQ6evQoDRo0uGZhYy6CtG7sPp1d8WBKIvi1Mmz8J4QwnsgE+H4IXEyGeo3VTiNUUlhayNcHvyYhPAFfN1+14wgTq1Zxc+LECaPcfMyYMQwdOpR27drRoUMHZs6cSUFBAcOGDQNgyJAhBAYGMnXqVABGjBjBRx99xKhRoxg5ciTHjh1jypQp1y2gzEWQ1pXzOYa1bhzs7UBRDIv3tb5f7WhCWJ/wnuBYx7DmzS0vqp1GqGTRkUXkl+bzWKvH1I4iVFCt4sZYBg4cSGZmJhMnTiQtLY02bdqwYsWK8kHGqamp5S00AMHBwaxcuZLnnnuO1q1bExgYyKhRoxg7dqxa30KlBNd1Q6dXSMstIkjrBhmHID9NpoALURscXQ3TwvcvluLGRl0uu8z8A/Pp37g//nWuPcxBWLdKFzdjxoxh8uTJ1KlThzFjxtzw3Pfee6/SAZ555pnrdkOtW7fuqmOxsbFs3bq10s9vDv49HTxI62boknJwgYaxKicTwkpFJsDCByHzCPg0UzuNMLGfjv5ETnGOtNrYsEoXN3/99RelpaXlv78ejUxrvkqg93/WukleayhsHF1VTCWEFWt8Ozh7GmZN9RindhphQsW6Yr7Y/wV9wvoQ7GHapT+E+ah0cZOYmHjN34ubc3G0x8fDmdNZhVBWDCc3wa3j1Y4lhPVydIFmdxlmTXUfK2tJ2ZAlx5ZwoegCw1sNVzuKUJHqG2faCsN08MuQuhXKLsv6NkLUtsgEuHAEMg7e/FxhFUp1pczdP5deob0I9QpVO45QUbUGFBcUFDBt2jTWrFlDRkYGen3FHa9TUlKMEs6aBGndDGvdpCRCHR/wjVA7khDWLexWcPE2tN74yb83W7AsZRnnC87zcauP1Y4iVFat4ubxxx9n/fr1DB48mAYNGsg4m0oI0rqSdOqSYQp42K1gJ41mQtQqBydo0dcw7ua2CdI1ZeXK9GXM2TuHO0LukJ2/RfWKm99//53ly5fTpUsXY+exWkFaV4pzM1CK9qDpKHucCGESEfHw1zeQthcaRKmdRtSi3078xpn8M7x/6/tqRxFmoFrNB1qtlrp16xo7i1UL1rrRif1oUGTLBSFMpVF3cK0rO4VbOZ1ex5y9c+gR1IPmdZurHUeYgWoVN5MnT2bixIkUFhbe/GQBGFpuutnto9CrKXjKBm5CmIS9I7TsZ1itWFHUTiNqyapTqziZe5L/i5JWcWFQ6W6p6OjoCmNrjh8/jp+fH6GhoTg6OlY4NykpyXgJrUSAlwtd7fdxpu5dNFU7jBC2JCIBds2Hs0kQFKN2GmFkekXPZ3s/o0tAFyLrR6odR5iJShc3Vza3FNXjkpNCoOYiP7vGSHEjhCmFdDHMUDzwsxQ3Vmht6lqOZx9nYuxEtaMIM1Lp4mbSpEm1mcP6pSRSigPb9c1JUDuLELbE3gFa9ocDS+COyTJT0YooisJnez+jg38Hon2j1Y4jzEi1/pWfPn2aM2fOlP95+/btjB49ms8++8xowaxOciIn3FqRkqN2ECFsUEQC5J6BMzvUTiKMaMPZDRzKOsT/tZaxNqKiahU3Dz74YPkWDGlpacTFxbF9+3ZeeeUV3njjDaMGtAq6Uji5gfP1OnH2yv5SQgjTadgJ3P0NXVPCaszdN5conyja+7dXO4owM9Uqbvbv30+HDh0A+P7772nVqhWbN2/m22+/Zf78+cbMZx3O7ICSfC4Hd+d8zmVKdfqbXyOEMB47e4gYYOia0su/P2uwO2M3SRlJPBr5qCwkK65SreKmtLQUZ2dnAP744w/69esHQPPmzTl//rzx0lmL5LXgWpc6IdHoFUjLKVI7kRC2JyIB8tMgdYvaSYQRzNs/j0ZejegR3EPtKMIMVau4iYiIYPbs2WzYsIHVq1fTu3dvAM6dO0e9evWMGtAqJCdCWHeC6nkAcPqSrA8khMkFtQfPIOmasgIp2Skknk5kWMQw7DQyQFxcrVrvirfffptPP/2UHj16MGjQIKKiDMuaL126tLy7Svzt8iU4lwSNbyPA2wWAM1ky7kYIk7OzM3RNHfwFdGVqpxE1MP/AfHxdfekT1kftKMJMVXlvKUVRCAsLIzU1lbKyMrRabfljTzzxBG5ubkYNaPFO/AmKHsJuxdnBHj9PZ8Pu4EII04tIgC0fwamNsg2KhUovSGdZyjJGRY/Cyd5J7TjCTFW55UZRFJo0aUJaWlqFwgYgNDQUX19fo4WzCsmJUC8cvIMBCNK6cUZmTAmhjsC24B1i2ClcWKRvDn2Dq70r9za9V+0owoxVubixs7MjPDycixcv1kYe65O8FhrfWv7HIK2rFDdCqEWjMewUfnCpYYkGYVFyS3L54egP3N/sftyd3NWOI8xYtcbcTJs2jRdffJH9+/cbO491yUqB7FMQ9t/iRrqlhFBNRDxczoIT69VOIqro+yPfU6Ir4eGWD6sdRZi5Ko+5ARgyZAiFhYVERUXh5OSEq6trhcezsrKMEs7iJa8FOwcI7Vp+KEjrRlpuESVlepwcZJS/ECbXIArqhhm6pprEqZ1GVFKxrphvDn5Dv8b9qO9aX+04wsxVq7iZOXOmkWNYqeREw/RTF8/yQ8Fat/K1bhrWk8HXQpicRmMYWLxjDvR5HxxkUKolWJa8jKyiLB6JeETtKMICVKu4GTp0qLFzWB9dGZzYAJ2fqXA4SGto5TpzqVCKGyHUEpkAG6ZDSiI07aV2GnETOr2O+QfmExcSR6hXqNpxhAWodr9IcnIyEyZMYNCgQWRkZADw+++/c+DAAaOFs2jnkqA4p8J4G4AG3i5oNLKQnxCq8m0J9ZvCflnQzxIknk7kVO4phkUMUzuKsBDVKm7Wr19Pq1at2LZtGz///DP5+fkA7Nmzh0mTJhk1oMVKTgRnLwiIrnDY2cEePw8XmTElhJqudE0d+Q1KZTsUc6YoCvP2z6O9f3ta+bRSO46wENUqbsaNG8ebb77J6tWrcXL6p7/6tttuY+vWrUYLZ9GS10LYLWB/dc+fTAcXwgxExENxLiSvUTuJuIGd6TvZd2Efj0Y+qnYUYUGqVdzs27eP+Pj4q477+vpy4cKFGoeyeEW5hp3A/9MldYVMBxfCDPg2N3RPSdeUWZu3fx5NtU3pEtBF7SjCglSruPH29r7m7t9//fUXgYGBNQ5l8U5uBEUHjW+75sOySrEQZiIiAY78DiXyYcMcHck6wsazGxkWOQyNRqN2HGFBqlXcPPDAA4wdO5a0tDQ0Gg16vZ5NmzbxwgsvMGTIEGNntDzJa0EbCnUbXfPh4Lqu5WvdCCFUFJkApQVwfLXaScQ1zD8wn4A6AfQKlRltomqqVdxMmTKF5s2bExwcTH5+Pi1btuSWW26hc+fOTJgwwdgZLU9K4nW7pMDQcqMocD5HWm+EUFW9xuDfWrqmzNC5/HP8fuJ3hkQMwdHOUe04wsJUq7hxcnJizpw5JCcn8+uvv/LNN99w+PBhvv76a+zt7Y2d0bJkp8LF49ftkoJ/1ro5nSXFjRCqi4iHoyuhOF/tJOJfvjr4FR5OHsQ3uXp8pxA3U61F/K5o2LAhwcGG3a6lP/RvyYmgsYNGt1z3lAZermg0yKBiIcxBRDyseR2OroBWstO0OcguyubnYz/zSMQjuDnKYqei6qq9iN/cuXOJjIzExcUFFxcXIiMj+fzzz42ZzTKlJEJgDLh6X/cUJwc7/D1lrRshzELdRhDQ1rDXlDAL3x35DkVRGNR8kNpRhIWqVsvNxIkTee+99xg5ciSxsbEAbNmyheeee47U1FTeeOMNo4a0GHodpKyD9sNveqpMBxfCjEQmwJrJhmUc/rUXnDC9y2WX+e7Qd8SHx6N10aodR1ioahU3n3zyCXPmzGHQoH+q6n79+tG6dWtGjhxpu8XN+T1w+RI0vv5g4iuCtG6czpLiRgiz0HIArJpgmBYeNVDtNDZtyfEl5JbkMqSlzLwV1VetbqnS0lLatWt31fGYmBjKyspqHMpiJa8FJ3fDTuA3IasUC2FGvIMhqAMckFlTairTl/HlgS/pGdqTII8gteMIC1at4mbw4MF88sknVx3/7LPPeOihh2ocymKlrIPQbmB/82mLQVpX0vOKKC7T1X4uIcTNRSbA8TVwOVvtJDZr1clVnM0/K1stiBqrdLfUmDFjyn+v0Wj4/PPPWbVqFZ06dQJg27ZtpKam2u4ifiUFkLoVek2p1OnBV9a6yS4itH6dWg4nhLiplv1hxXg4vByibfhDmkoUReGLA1/QOaAzzes2VzuOsHCVLm7++uuvCn+OiYkBIDk5GYD69etTv359Dhw4YMR4FuTkJtCXVmq8DRjG3ACcuXRZihshzIFnADSMNXRNSXFjclvObeFw1mE+7ymzbkXNVbq4SUxMrM0cli8lETyDoF6TSp3u7+WCnQZOy4wpIcxHZAKsGAeFWeBWV+00NmXe/nlE1Iugg38HtaMIK1DtdW7EfySvNbTaVHIxw3/WupHiRgiz0bI/KHo4tEztJDblwIUDbEvbJhtkCqOp1lTwoqIiPvzwQxITE8nIyECvr7gBZFJSklHCWYzcc5B5GLq/VKXLZHdwIcyMuy+EdjV0TcUMVTuNzZi3fx7BHsHENYxTO4qwEtUqbh577DFWrVrFvffeS4cOHaTSTlkHaKBRjypdFqR15ZSsdSOEeYmIh+XPQ34muPuoncbqpeam8kfqH7zS8RXs7Wx8b0JhNNUqbn799Vd+++03unTpYuw8lil5LTSIgjr1qnRZkNaVTckXaimUEKJaWvSH5S/AoaXQ/jG101i9Lw98ibezN/0a91M7irAi1RpzExgYiIeHh7GzWCa93tByU8lZUv8WpHUjPbdY1roRwpzUqQdh3WWvKRO4cPkCS44v4eEWD+Pi4KJ2HGFFqlXczJgxg7Fjx3Lq1Clj57E8GQegIBMa31blS4PqugJwLrvI2KmEEDURkQAnN0JemtpJrNqCQwtwsHPg/mb3qx1FWJlqFTft2rWjqKiIsLAwPDw8qFu3boUvm5K8FhzdILhjlS8NLl/rRsbdCGFWmvcBO3s4+IvaSaxWfkk+C48s5N6m9+Ll7KV2HGFlqjXmZtCgQZw9e5YpU6bg5+dn2wOKkxMhpDM4OFf50itr3ciMKSHMjFtdQ2vsgcXQ8f/UTmOVvjv8HUVlRbJBpqgV1SpuNm/ezJYtW4iKijJ2HstSehlObYa4SdW63NHejgZerrI7uBDmKCIBljwJOWfBK1DtNFalsLSQrw5+RUJ4An51/NSOI6xQtbqlmjdvzuXL0tpA6hbQFUNY1QcTXxEou4MLYZ6a3wX2TnBwidpJrM73R74nvyRfNsgUtaZaxc20adN4/vnnWbduHRcvXiQ3N7fCl81ITgR3f/BtUe2nCNK6ypgbIcyRixc0iZNZU0ZWVFbE/APz6dekHwHuAWrHEVaqWt1SvXv3BuD222+vcFxRFDQaDTqdjUxtTk6s0pYL1xKkdWPjMVnrRgizFJEAPz8O2ang3VDtNFbhp2M/kV2czeORj6sdRVixahU3sokmkJ8B6fug88gaPU2Q1pWMvGKKSnW4OMrqnEKYlWa9wcHF0HrTZZTaaSxeia6EefvncVejuwj2DFY7jrBi1SpuunfvbuwclidlneHXsB41epor08HPZV8mzMe9ZpmEEMbl7AHhPWH/z1LcGMGS40vILMxkeOvhakcRVq7au4Jv2LCBhx9+mM6dO3P27FkAvv76azZu3Gi0cGYtORH8IsGjZiP9g7SGhfxkULEQZioyAc7vhqwUtZNYtFJdKZ/v+5zeob1p5NVI7TjCylWruPnpp5/o1asXrq6uJCUlUVxcDEBOTg5TpkwxakCzpCiQklitLRf+q4GXC/Z2GiluhDBX4T0NC3XKwOIaWZayjPMF56XVRphEtYqbN998k9mzZzNnzhwcHR3Lj3fp0oWkpCSjhTNbmYch73yNpoBf4WBvh7+ni8yYEsJcOdWBpr1hvxQ31VWmL2PO3jnENYwjXBuudhxhA6pV3Bw5coRbbrnlquNeXl5kZ2fXNJP5S04Ee2fDysRGEKR15bS03AhhviITDBMILhxTO4lF+v3E75zJP8MTrZ9QO4qwEdUqbvz9/Tl+/PhVxzdu3EhYWFiNQ5m95LUQEguOrkZ5uiCtm7TcCGHOmtwBTu7SNVUNOr2Oz/Z+Rveg7rSoV/01wYSoimoVN8OHD2fUqFFs27YNjUbDuXPn+Pbbb3nhhRcYMWKEsTOal7JiOLXJKF1SVwTJKsVCmDdHF2h2l2HWlKiS1adWczL3JP/XWvboEqZTrang48aNQ6/Xc/vtt1NYWMgtt9yCs7MzL7zwAiNH1mzdF7N3ejuUFhplMPEVQVpXMmWtGyHMW2QC7PseMg7VaFVyW6JX9Hy691M6B3SmlU8rteMIG1KtlhuNRsMrr7xCVlYW+/fvZ+vWrWRmZjJ58mRj5zM/yWvBrT74Ge8fatDfa92czZbWGyHMVuPbwNlLuqaqIDE1kePZx6XVRphclVpuHn20cpuczZs3r0ohZs2axbvvvktaWhpRUVF8+OGHdOjQ4abXLVy4kEGDBtG/f3+WLFlSpXtWW0qiYeE+u2ovEXSV4Lr/rHXTWBbyE8I8OThDi76Grqke42u07YotUBSFT/d+Snv/9rT1a6t2HGFjqvQ/9Pz580lMTCQ7O5tLly5d96sqFi1axJgxY5g0aRJJSUlERUXRq1cvMjIybnjdyZMneeGFF+jWrVuV7lcjhVlwbrfhE5wR+XteWetGBhULYdYi4uHiMUjfr3YSs7f+zHoOZR2SVhuhiiq13IwYMYLvvvuOEydOMGzYMB5++GHq1q1bowDvvfcew4cPZ9iwYQDMnj2b5cuXM2/ePMaNG3fNa3Q6HQ899BCvv/46GzZsuOH08+Li4vJFBoGa7Vqesg5QjDreBgxr3TTwcpFBxUKYu7Ae4Ko1tN74yxiS69Erej766yPa+bWjg//NW+GFMLYqtdzMmjWL8+fP89JLL7Fs2TKCg4O5//77WblyJYqiVPnmJSUl7Nq1i7i4uH8C2dkRFxfHli1brnvdG2+8ga+vL4899thN7zF16lS8vLzKv4KDa7BZW0oi1G8GngHVf47rCNK6cjpLWm6EMGv2jtDibsO4m2r8zLMVq0+t5silI4yMHolGuu+ECqo8cMTZ2ZlBgwaxevVqDh48SEREBE899RShoaHk5+dX6bkuXLiATqfDz6/i/kx+fn6kpaVd85qNGzcyd+5c5syZU6l7jB8/npycnPKv06dPVyljOUUxLN5n5C6pKwxr3UjLjRBmLyIBLp0w7DclrqLT65i1exZdArvIWBuhmhqNirWzs0Oj0aAoCjqdzliZrisvL4/BgwczZ84c6tevX6lrnJ2d8fT0rPBVLReTIee00bukrpC1boSwEKHdDDMmZc2ba/rtxG+cyDnByDZWviyIMGtVLm6Ki4v57rvvuOOOO2jatCn79u3jo48+IjU1FXf3qs30qV+/Pvb29qSnp1c4np6ejr+//1XnJycnc/LkSe6++24cHBxwcHDgq6++YunSpTg4OJCcnFzVb6fyUhLBzhFCutTK0wdp3biQb1jrRghhxuwdoGU/OLBEuqb+o1Rfyse7P+a24NuIqB+hdhxhw6pU3Dz11FM0aNCAadOm0bdvX06fPs0PP/zAXXfdhV01pkY7OTkRExPDmjVryo/p9XrWrFlDbGzsVec3b96cffv2sXv37vKvfv36ceutt7J79+6ajae5meS1ENwRnGtnqnaQ9p/p4EIIMxeRADmpcGan2knMypLjSzibf5ano59WO4qwcVWaLTV79mwaNmxIWFgY69evZ/369dc87+efK99cO2bMGIYOHUq7du3o0KEDM2fOpKCgoHz21JAhQwgMDGTq1Km4uLgQGRlZ4Xpvb2+Aq44bla4UTmyArqNq7RbBdQ0L+Z25VEgTX1nrRgizFtIZ3P0MA4uD26udxiwU64r5dM+n9A7tTVNtU7XjCBtXpeJmyJAhRh/5PnDgQDIzM5k4cSJpaWm0adOGFStWlA8yTk1NrVarkFGd2QklebU2mBjAz8MZBzuNtNwIYQns7KFlf0Nx0/NNoy7qaal+PPojmZczGdHGyvcXFBZBo1RnDrcFy83NxcvLi5ycnMoPLk6cAts+hZdSDD/Uakm3d9bSp1UA4+5sXmv3EEIYyakt8EVvGLYCQq7uRrclhaWF3PXzXXQL6sbkLjawDY8we/JxozKSr2y5ULubWgZ5u8kqxUJYiuCO4BEAB2TW1MIjC8kpyeHJqCfVjiIEIMXNzV3OhrM7a20K+L8FaV05Ld1SQlgGOzvDdgwHfwG97c5yzCvJY97+edwTfg+B7oFqxxECkOLm5k5uAEUPYaYobtw4Ky03QliOiHjIT4dTm9VOoppvDn7D5dLLDG81XO0oQpST4uZmktdC3cagDan1WwVpXbmQX8LlEtv9FCiERQlqB14NbbZrKrsom68OfsXA5gPxq+N38wuEMBEpbm4mOdEkXVLwz1o3Z7Ol9UYIi6DRQMQAOLgUdGVqpzG5+Qfmo1N0PBZ5833+hDAlKW5uJOuEYQ+ZWpwC/m9X1rqRcTdCWJDIBCi8ACf/VDuJSV24fIEFhxfwcIuHqedaT+04QlQgxc2NpCSCxh5Cu5rkdn6eLrLWjRCWpkEb0IYa1ryxIXP2zsFeY8/QiKFqRxHiKlLc3EhyoqFP3cXLJLezt9MQ4O0q08GFsCQajWE7hkPLDKuZ24DU3FS+P/I9j7V6DC9n0/x8FKIqpLi5Hr0OTqw3WZfUFbI7uBAWKDIBLl+ClHVqJzGJD5I+oJ5rPR5u8bDaUYS4JilurufcX1CUY5Ip4P8mxY0QFsgvEuqFw37rnzW1N3Mvq06tYmT0SFwcXNSOI8Q1SXFzPcmJ4OwJgTEmvW2Q1o0zWdItJYRF0WgMa94cXg5lxWqnqTWKojBj5wyaapvSN6yv2nGEuC4pbq4neS00ugXsq7S3aI0FaV25WFBCYYntTSsVwqJFJkBxjuFnh5VKPJ1IUkYSY2LGYF/L29EIURNS3FxLcR6c2W7YT8rEgrSG6eBnpWtKCMvi2wJ8Wlht11SZvoz3d71Ppwad6BzQWe04QtyQFDfXcnIj6MtMPpgY/lnIT8bdCGGBIhPgyG9Qan3/fn8+9jMnc08yJmYMGo1G7ThC3JAUN9eSnAjeDaFumMlv7efpgqO9RqaDC2GJIuKhJB+OrVY7iVEVlhby8e6P6RvWlxb1WqgdR4ibkuLmWlISDa02Knw6+WetG+v75CeE1asfDn6trG5Bvy8PfEleSR4jo0eqHUWISpHi5r9yzsCFoyafAv5vMh1cCAsWGQ9HV0BJgdpJjOLC5Qt8ceALHmrxEAHuAWrHEaJSpLj5r+REQGOYKaWSIG836ZYSwlJFxENpIRxdqXYSo/h498c42jnyWCvZHFNYDilu/it5LQS2Bbe6qkWQlhshLFjdMMN+Uwcsf9ZUSnYKPx/7mSdaPyHbLAiLIsXNv+n1hi0XVOySAgiqa1jrpqBY1roRwiJFJhgGFRfnqZ2kRmYmzcS/jj+Dmg9SO4oQVSLFzb+l7YXCi6pMAf+38rVusqX1RgiLFBEPZUVwZIXaSaptV/ouEk8nMjJ6JE72TmrHEaJKpLj5t+S14FgHgtqrGuPKWjepF2XcjRAWybuh4eeIhXZN6RU9M3bOoEXdFtzZ6E614whRZVLc/FtKIoR2BQd1P6X4e7rg5mRPyoV8VXMIIWogIh6O/wGXs9VOUmVLk5ey78I+xnYYi51G/psQlkfetVeUFELqVtW7pAA0Gg1NfN05niHFjRAWq+UA0JXAkd/VTlIl+SX5zNw1k96hvYnxM+3GwUIYixQ3V5zabPhB1FjdwcRXNPFx55gUN0JYLq9AaBhrcV1Tn+39jILSAp5v97zaUYSoNilurkhJBM9AqN9U7SQANP675UZRFLWjCCGqKyLeMJavMEvtJJVyMuckXx/6msdaPYZ/HX+14whRbVLcXJG81jAF3Ew2hAv3dSevqIzMvGK1owghqqtlf9Dr4PCvaieplHd2vIOfmx+PRDyidhQhakSKG4C8NMg4aDZdUgBNfN0BpGtKCEvm4W+YpGABe039eeZPNpzdwPPtnsfFwUXtOELUiBQ3ACnrDL+G9VAzRQUN67rhZG8ng4qFsHQR8ZCyHgouqJ3kukp1pbyz4x06+nckrmGc2nGEqDEpbsDQJeXfGurUVztJOQd7OxrVryPFjRCWrkU/QIFDS9VOcl3fHPqGM3lnGNthLBoz6ZoXoiakuFEUw2aZZtQldUUTX3eOZVj28u1C2Dx3H8NGvPvNc9bUhcsX+HTvp9zf7H7CteFqxxHCKKS4ST8ABRlmsb7NfxlmTBWoHUMIUVMRCXBqE+Slq53kKjN3zcTRzpGn2zytdhQhjEaKm5REcHCB4E5qJ7lKuK87F/KLyS4sUTuKEKImWtwNGjuz65ram7mXX5J/YWT0SNn1W1gVKW6SEyGkCzia3+yAKzOmZNyNEBbOra5hwoIZdU3pFT3Ttk+jmbYZ94Tfo3YcIYzKtoub0iJDU7EZjrcBaFS/DnYaKW6EsAoRCZC6BXLPqZ0EgGXJy9h3YR/jOozD3s5e7ThCGJVtFzent0JZkWHxPjPk4mhPw7puUtwIYQ2a9wF7Rzj4i9pJyCvJ4/1d79M7tDft/NupHUcIo7Pt4iZ5LdTxBb8ItZNcl2HGlBQ3Qlg8V29ofLtZdE19kPQBhWWFsn+UsFo2Xtz8PQXcjNd1aCy7gwthPSLi4cx2yD6tWoS9mXv5/sj3jIweKftHCatlu8VNwUVI22uWU8D/rYmPO2ezL1NYUqZ2FCFETTW7E+yd4eASVW5fpi/jjS1v0LxucwY1H6RKBiFMwXaLm5MbDL+a0ZYL1xLu5wFASqasdyOExXPxhPA7VOua+vbQtxzLPsak2Ek42DmokkEIU7Dd4ubEBvBtadjYzow19qkDICsVC2EtIhPgXBJknTDpbc/ln2PW7lk80OwBIuqb7zhDIYzBhoub9WbfJQXg4eKIv6eLjLsRwlo07Q0OribdKVxRFKZum4qHowcjo0ea7L5CqMV2i5v8NLOdAv5f4X4yqFgIq+FUB5r2MmlxszZ1LevOrGNcx3G4O7mb7L5CqMV2ixs7RwjprHaKSmnsI9PBhbAqkQmGCQ0Xk2v9VgWlBUzZPoXuQd2JaxhX6/cTwhzYbnET3B6c3NROUSlNfN05dbGQkjK92lGEEMYQ3hMc65hkYPFHf31EXkkeL3d8GY0ZL3shhDHZbnETeovaCSot3NcdnV7h1EWZMSWEVXB0NUwLP1C7xc2BiwdYcHgBT0U9RYB7QK3eSwhzYrvFTSPLKW6ubKApXVNCWJHIBMg4CBmHa+Xpy/RlvL75dZp4N+Ghlg/Vyj2EMFe2W9z4RaqdoNLquTujdXOUQcVCWJPGt4OzZ60NLF54eCGHsw4zMXYijnaOtXIPIcyV7RY3dpb1rYf7ekhxI4Q1cXSBZncZuqYUxahPnVaQxod/fcj9ze4nyifKqM8thCWwrP/hbVhj2UBTCOsTmQAXjhq6p4xEURRe2/Ia7o7uPNv2WaM9rxCWRIobC9HE152UzHx0euN+whNCqCjsVnDxNuqsqcXHF7Pp7CYmdZ6Ep5On0Z5XCEsixY2FCPd1p7hMz9lLl9WOIoQwFgcnaNHXaF1T5/PP8+6Od+nfuD+3BFnOpAkhjE2KGwtxZcbU8UzZY0oIqxIRD1kpcH5PjZ5GURQmbZ6Em6MbL3V4yUjhhLBMUtxYiAZeLtRxsudYuoy7EcKqNOoOrnVrPGvqp2M/seX8Fl6LfU26o4TNk+LGQmg0Ghr7yh5TQlgde0do2a9GXVPn8s8xfed0EsIT6BbUzcgBhbA8UtxYkCa+7hzPlOJGCKsTkQDZqXA2qcqXXumOcnd054V2L9RCOCEsjxQ3FqSJrzvH0/NRjLwmhhBCZSFdoI5PtbZj+OHoD2w9v5U3Or+Bh5NHLYQTwvJIcWNBmvi4k1dcRkZesdpRhBDGZO8ALfvDgSWgr/wGuWfzzzJj5wzuCb+HzoGday+fEBZGihsLEu5n+FQm426EsEIRCZB7Bs7sqNTpekXPpE2T8HL2ku4oIf5DihsLEqx1xcnejmPpMh1cCKvTsBO4+1e6a+qHIz+wLW0br3d+HXcn91oOJ4RlkeLGgjjY29Gofh0ZVCyENbKzh4gBleqaOpN3hhm7ZnBf0/uIDYg1STwhLIkUNxamiZ9MBxfCakUkQH4apG657ill+jJe3vgyWmctz7d73oThhLAcZlHczJo1i9DQUFxcXOjYsSPbt2+/7rlz5syhW7duaLVatFotcXFxNzzf2jTxkeJGCKsV1B48g27YNfXZ3s/Yk7mHabdMo45jHROGE8JyqF7cLFq0iDFjxjBp0iSSkpKIioqiV69eZGRkXPP8devWMWjQIBITE9myZQvBwcH07NmTs2fPmji5Opr4unMhv4TswhK1owghjM3OztA1dfAX0JVd9fCu9F18uvdTnmz9JNG+0abPJ4SF0CgqL5rSsWNH2rdvz0cffQSAXq8nODiYkSNHMm7cuJter9Pp0Gq1fPTRRwwZMuSm5+fm5uLl5UVOTg6enpa3RPnhtFx6z9zAj0/G0i60rtpxhBDGdmYXfH4bDFkKYd3LD+cU53DvsnsJqBPA3F5zcbBzUDFkzen1enQ6ndoxhJlxcHBAo9HU/HmMkKXaSkpK2LVrF+PHjy8/ZmdnR1xcHFu2XL/P+d8KCwspLS2lbt1r/0dfXFxMcfE/68Lk5ubWLLTKGtWvg53GMB1cihshrFBgW/AOMXRN/V3cKIrC61tep6C0gGndpll0YaMoCjk5ORQWFqodRZghjUaDj48PDg41e4+r+i/kwoUL6HQ6/Pz8Khz38/Pj8OHDlXqOsWPHEhAQQFxc3DUfnzp1Kq+//nqNs5oLZwd7GtZ145iMuxHCOmk0hp3Ck76Cu6aDvSM/H/uZ1adWM6P7DBq4N1A7YY1cKWw8PT1xcnIyyqd0YR0UReHSpUtkZ2dTr169Gr03LLf8B6ZNm8bChQtZt24dLi4u1zxn/PjxjBkzpvzPubm5BAcHmypirWji6yGDioWwZhHxsGkmnFhPik8Yb+94m3vC76FnaE+1k9WIXq8vL2zc3WVtHnE1T09PLl26hF6vx97evtrPo2pxU79+fezt7UlPT69wPD09HX9//xteO336dKZNm8Yff/xB69atr3ues7Mzzs7ORslrLpr4urNszzm1YwghakuDKKgbRsn+nxhrfwH/Ov681P4ltVPV2JUxNk5OTionEebqSkFT0+JG1dlSTk5OxMTEsGbNmvJjer2eNWvWEBt7/YWp3nnnHSZPnsyKFSto166dKaKalSa+7pzNvkxB8dWzKYQQVkCjgYgE3j+7huTsZN655R3cHN3UTmU00hUlrsdY7w3Vp4KPGTOGOXPm8OWXX3Lo0CFGjBhBQUEBw4YNA2DIkCEVBhy//fbbvPrqq8ybN4/Q0FDS0tJIS0sjP992umnCfQ3NuSmZBSonEULUlg1+jfjG3ZkxDe+ied3mascRwqKoPuZm4MCBZGZmMnHiRNLS0mjTpg0rVqwoH2ScmpqKnd0/Ndgnn3xCSUkJ9957b4XnmTRpEq+99popo6um8d/FzfHMPFoFeamcRghhbBcuX2DCgc/oVmbHQxeuveaXEOL6VC9uAJ555hmeeeaZaz62bt26Cn8+efJk7Qcyc+7ODjTwcuFouu20VglhK3R6HS9veBkNdkwOGYBmxzwoLQLHa0+aEEJcTfVuKVE9EQFe7D2TrXYMIYSRzdo9i21p25jabSr1oh6E4lxIXnPzC4UQ5aS4sVAxIVp2p2aj06u6wLQQwojWpq5lzr45PBv9rGG3b59m4BsB+6+/15SofV999RX16tWrsCAswIABAxg8eDBgGDLRuHFjnJycaNasGV9//XX5eSdPnkSj0bB79+7yY9nZ2Wg0mvLeiXXr1qHRaFizZg3t2rXDzc2Nzp07c+TIkQr3fPPNN/H19cXDw4PHH3+ccePG0aZNm1r5vi2ZWXRLiaqLCdFSUKLjSFoeLQMsbxsJIURFJ3NO8srGV4hrGMejkY/+80BkPGx4H0oKwcl6Zkz92+USHcmZpu1mb+zjjqtT5aYa33fffTz77LMsXbqU++67D4CMjAyWL1/OqlWrWLx4MaNGjWLmzJnExcXx66+/MmzYMIKCgrj11lurlOuVV15hxowZ+Pj48OSTT/Loo4+yadMmAL799lveeustPv74Y7p06cLChQuZMWMGjRo1qto3bwOkuLFQrYO8cLDTsCv1khQ3Qli4wtJCRieOxsfNh8ldJlecDhuRAGvfhOOroWV/9ULWouTMfPp+uNGk9/x1ZFciAys3IcPV1ZUHH3yQL774ory4+eabb2jYsCE9evSga9euPPLIIzz11FOAYRbw1q1bmT59epWLm7feeovu3Q3bbowbN44+ffpQVFSEi4sLH374IY899lj5bOKJEyeyatUqm5otXFlS3FgoF0d7IgK9SDp1icGdQtSOI4SoJkVRmLh5IucLzvNdn+9wd/rPyr31GoN/a0PXlJUWN4193Pl1ZFeT37Mqhg8fTvv27Tl79iyBgYHMnz+fRx55BI1Gw6FDh3jiiScqnN+lSxc++OCDKuf696K0DRoYttrIyMigYcOGHDlypLyAuqJDhw6sXbu2yvexdlLcWLC2Db1Zc0imiQphyb46+BUrT65kRvcZhHmHXfukyARY9zYU54Oz9W1b4OpkX+lWFLVER0cTFRXFV199Rc+ePTlw4ADLly+v1LVXljNRlH/GSJaWll7zXEdHx/LfX2nB0+v11Y1ts2RAsQWLCdGSmlVIRl6R2lGEENWwI20H7+96n2ERw268b1REPJRdhqMrTBdOXOXxxx9n/vz5fPHFF8TFxZXvU9iiRYvycTFXbNq0iZYtWwLg4+MDwPnz58sf//fg4spq1qwZO3bsqHDsv38WBtJyY8FiQrQAJJ3KpnfkjffiEkKYl7SCNF5Y/wIxfjE82/bZG5+sDYWAtnBgMbS698bnilrz4IMP8sILLzBnzhy++uqr8uMvvvgi999/P9HR0cTFxbFs2TJ+/vln/vjjD8AwZqdTp05MmzaNRo0akZGRwYQJE6p8/5EjRzJ8+HDatWtH586dWbRoEXv37iUs7DotfjZMWm4sWAMvVwK8XPgr9ZLaUYQQVVCiK+H5dc/jaOfIO7e8g4NdJT5nRibAsdVQlFv7AcU1eXl5cc899+Du7s6AAQPKjw8YMIAPPviA6dOnExERwaeffsoXX3xBjx49ys+ZN28eZWVlxMTEMHr0aN58880q3/+hhx5i/PjxvPDCC7Rt25YTJ07wyCOP4OIiCzz+l0b5dyegDcjNzcXLy4ucnBw8PS1/ltEzC5JIyynixxGd1Y4ihKikyVsms/j4Yr7s/SWtfFpV7qKcM/B+BMR/BlEDazdgLSktLSUzMxMfH58KY0ssye23305ERAT/+9//1I4CwB133IG/v3+FdXUsmbHeI9JyY+FiQrTsPZtDcZlO7ShCiEr47vB3fH/0e8Z3HF/5wgbAKwiCOxq6poTJXbp0icWLF7Nu3TqefvppVTIUFhby3nvvceDAAQ4fPsykSZP4448/GDp0qCp5zJmMubFwMSFaSsr0HDiXS9uGWrXjCCFu4M8zfzJt+zQebvEw9zW9r+pPEJEAqybA5Wxw9TZ2PHED0dHRXLp0ibfffptmzZqpkkGj0fDbb7/x1ltvUVRURLNmzfjpp5+Ii4tTJY85k+LGwrVo4ImLox1Jpy5JcSOEGTucdZgX1r9A96DuvNDuheo9Scv+sGIcHF4O0Q8ZN6C4IXPYtNnV1bV8kLK4MemWsnCO9na0DvJm1ykZVCyEuUorSOPpP56mkVcjpnWbhr1d5Zb9v4pnAwjpDAdkrykhbkSKGysQE6IlKfUSNjY2XAiLUFBawDNrnsHOzo6PbvsIN8ca7g8VEQ8p66Awyyj5hLBGUtxYgZiGWtJzizmbfVntKEKIfynTl/HC+hc4k3+GWbfPwsfNp+ZP2rI/KHo4tKzmzyWElZLixgq0/XsxP+maEsJ8KIrCtO3T2HJuC+91f4+m2qbGeWJ3XwjtKl1TQtyAFDdWoG4dJ8Lq1yFJihshzMbXB79m0ZFFTOg0gc6BRl6HKiIBTvwJ+ZnGfV4hrIQUN1YiuqGWXbJSsRBmYc2pNUzfOZ1HIx/l3qa1sF1Ci36ABg4tNf5zC2EFpLixEjEhWg6dz6OguEztKELYtD2Zexi3YRxxIXGMajuqdm5Spx6E9ZAF/czYunXr0Gg0ZGdnX/ec+fPn4+3tfcPnee2112jTpk35nx955JEKWz9Ymsp8z8YgxY2ViAnRotMr7DmTrXYUIWzWkawjjPhjBC3qtWBK1ynYaWrxR2xEPJzcCHlptXcPUW2dO3fm/PnzeHl5qR3FJklxYyXCfd3xcHbgr9RstaMIYZNSclJ4YvUTBHsEM+v2Wbg41PJmhi36gp0DHPyldu8jqsXJyQl/f380Go3aUWySFDdWws5OQ3SIVmZMCaGCM3lnGL5qOHVd6jI7bjYeTh61f1NXLTS+DfbLrClT6NGjByNHjmT06NFotVr8/PyYM2cOBQUFDBs2DA8PD5o0acLvv/8OXLtbav78+TRs2BA3Nzfi4+O5ePHiVfeZNm0afn5+eHh48Nhjj1FUVHTDXHq9nqlTp9KoUSNcXV2Jiorixx9/vOE1Fy9eZNCgQQQGBuLm5karVq347rvvKpyTl5fHQw89RJ06dWjQoAHvv/8+PXr0YPTo0eXnFBcX88ILLxAYGEidOnXo2LEj69atq/A8lfmea4Nsv2BFYhpq+WLzCfR6BTs7+bQghCmkF6QzfNVwXOxd+OyOz9C6mHAblMgEWPx/kHMWvAJNd19jKymEC0dNe8/6TcGpagsqfvnll7z00kts376dRYsWMWLECBYvXkx8fDwvv/wy77//PoMHDyY1NfWqa7dt28Zjjz3G1KlTGTBgACtWrGDSpEkVzvn+++957bXXmDVrFl27duXrr7/mf//7H2FhYdfNNHXqVL755htmz55NeHg4f/75Jw8//DA+Pj507979mtcUFRURExPD2LFj8fT0ZPny5QwePJjGjRvToUMHAMaMGcOmTZtYunQpfn5+TJw4kaSkpArjf5555hkOHjzIwoULCQgIYPHixfTu3Zt9+/YRHh5eqe+5tmgUG1vWNjc3Fy8vL3JycvD09FQ7jlFtOJbJ4Lnb+WNMd5r4uqsdRwirl1WUxSMrHuFy2WW+7P0lAe4Bpg1QlAPvNoG41yBWnZ2qq6K0tJTMzEx8fHxwdHT854Fzu+Gza/9HXGueWA8BbSp9eo8ePdDpdGzYsAEAnU6Hl5cXCQkJfPXVVwCkpaXRoEEDtmzZQlFREbfeeiuXLl3C29ubBx98kJycHJYvX17+nA888AArVqwob93p3Lkz0dHRzJo1q/ycTp06UVRUxO7duwHDgOLs7GyWLFlCcXExdevW5Y8//iA2Nrb8mscff5zCwkIWLFhQ6e+vb9++NG/enOnTp5OXl0e9evVYsGAB995rmO2Xk5NDQEAAw4cPZ+bMmaSmphIWFkZqaioBAf+87+Pi4ujQoQNTpkyp1Pf8X9d9j1SRtNxYkTbB3mg0kHTqkhQ3QtSy3JJc/m/1/5FbnMuXd6pQ2AC4eEGTOwxdUxZQ3FxX/aaGYsPU96yi1q1bl//e3t6eevXq0apVq/Jjfn5+AGRkZFz14fnQoUPEx8dXOBYbG8uKFSsqnPPkk09edU5iYuI18xw/fpzCwkLuuOOOCsdLSkqIjo4GICIiglOnTgHQrVs3fv/9d3Q6HVOmTOH777/n7NmzlJSUUFxcjJuboSUrJSWF0tLS8lYcAC8vrwq7oe/btw+dTkfTphVfx+LiYurVq1fp77m2SHFjRTxcHGnm58GuU5e4v32w2nGEsFqFpYU89cdTnC84z7xe8wjxDFEvTGQC/PQYXDoFWhVz1ISTW5VaUdTy35YEjUZT4diVwcN6vd4kefLz8wFYvnw5gYEVuyWdnZ0B+O233ygtLQUMu4oDvPvuu3zwwQfMnDmTVq1aUadOHUaPHk1JSUmV7m1vb8+uXbuwt6+4Eay7u/ofrqW4sTIxIVq2nZAN9YSoLcW6Yp5d+yzHs48zt+dc422rUF1Ne4ODi2HNm66j1c0irqtFixZs27atwrGtW7de85whQ4Zc95x/a9myJc7OzqSmpl53fE1IyNUF76ZNm+jfvz8PP/wwYCjGjh49SsuWLQEICwvD0dGRHTt20LBhQ8DQLXX06FFuueUWAKKjo9HpdGRkZNCtW7dqf8+1RYobKxMTouXbbankFJbi5Vb9/kohxNUul13mucTn2JO5h9l3zCaifoTakcDZHcJ7SnFj5p599lm6dOnC9OnT6d+/PytXrryqe2bUqFE88sgjtGvXji5duvDtt99y4MCB6w4o9vDw4IUXXuC5555Dr9fTtWtXcnJy2LRpE56engwdOvSa14WHh/Pjjz+yefNmtFot7733Hunp6eXFjYeHB0OHDuXFF1+kbt26+Pr6MmnSJOzs7Mpbp5o2bcpDDz3EkCFDmDFjBtHR0WRmZrJmzRpat25Nnz59KvU91xaZCm5lYv7eRDPptEwJF8KY8kryeHL1kyRlJPHR7R8R4xejdqR/RCbA+d1wMVntJOI6OnXqxJw5c/jggw+Iiopi1apVTJgwocI5AwcO5NVXX+Wll14iJiaGU6dOMWLEiBs+7+TJk3n11VeZOnUqLVq0oHfv3ixfvpxGjRpd95oJEybQtm1bevXqRY8ePfD3979q1eP33nuP2NhY+vbtS1xcHF26dKFFixa4uPyzftMXX3zBkCFDeP7552nWrBkDBgyo0NpTme+5tshsKSujKArt3vyDBzs25PmezW5+gRDiprKKsnhy9ZOczT/LJ3Gf0Nqn9c0vMqWSQni3MXR7Hm55Qe0012WsmTDC9AoKCggMDGTGjBk89thjtXYfY71HpOXGymg0GtrKYn5CGE1aQRqPrHiEjMIM5vWaZ36FDRgG5DbtLXtNCaP566+/+O6770hOTiYpKYmHHnoIgP79+6ucrHKkuLFCMSFadp/OpkxnmhH7Qlir1NxUhv4+lKKyIr6880ua1TXj1tDIBEjfD5kmXgxPWK3p06cTFRVFXFwcBQUFbNiwgfr166sdq1JkQLEVignRUlii43BaHpGBsmmbENVx7NIxnlj9BO6O7szpOQf/Ov5qR7qxJneAk4eh9abHWLXTCAsXHR3Nrl271I5RbdJyY4VaBXrhaK8hKVW6poSojn2Z+xi2chj1Xeszv/d88y9sABxdoPldcED2mhJCihsr5OJoT0SAF0ky7kaIKtt+fjuPr3qcRp6NmNtrLvVc66kdqfIi4iHzMKQfVDuJEKqS4sZKtQ/Vsin5ooy7EaIKlhxfwpN/PEmUTxSf3vEpnk4WNqOy8W3g7CWtN8LmSXFjpe6OCiAzr5gNxy+oHUUIs6fT65ixcwavbnqVfo37Mev2Wbg5Vm3HaLPg4Awt+hrG3djWKh9CVCDFjZVqFehFMz8Pftx1Ru0oQpi1/JJ8nk18lq8OfsXY9mOZFDsJR3sLXoMlIgEuHoe0fWonEUI1UtxYKY1Gw70xQaw+kE5OYanacYQwS6fzTjP498EkpScx6/ZZPNzy4fLl5S1WWHdw1UrXlLBpUtxYsf7RAegUhaV7zqodRQizsyNtBw8uf5ASXQnf3vUtXQO7qh3JOOwdocXdsP9n6ZoykXXr1qHRaMjOzr7uOfPnz8fb29tkmWydFDdWzNfDhVub+UjXlBD/8dPRn3hi1RM00zZjQZ8FhHlfe2NCixWRANmn4FyS2kmEUIUUN1bu3pgg9pzJ4Wh6ntpRhFBdqb6Ut7e/zWtbXiMhPIFP7vgEL2crXOgytBu41ZftGITNkuLGyt3W3A+tm6O03gibdzr3NEN/H8p3h7/j5Y4v82rsqzjaWfDA4Ruxd4CW/eDAEumaMpLi4mKeffZZfH19cXFxoWvXruzYseO658+fP5+GDRvi5uZGfHw8Fy9eNGFaIdsvWDknBzv6twnk56SzvNSrGQ72Us8K27MseRlvbXsLrbOWr+78yjw3vzS2iATYOQ/O7IDgDmqnuaHLZZc5kXPCpPds5NUIVwfXSp//0ksv8dNPP/Hll18SEhLCO++8Q69evTh+/PhV527bto3HHnuMqVOnMmDAAFasWMGkSZOMGV/chBQ3NuDemCDmbz7Jn8cyua25n9pxhDCZ/JJ83tz2JstTlnN32N283PFl3J3c1Y5lGiGdwd3P0DVl5sXNiZwTDPx1oEnvuajvIlrWa1mpcwsKCvjkk0+YP38+d955JwBz5sxh9erVzJ07l/bt21c4/4MPPqB379689NJLADRt2pTNmzezYsUK434T4rqkuLEBkYFetGjgyQ87z0hxI2zGnsw9jP1zLNnF2UztNpW+YX3VjmRadvbQsr+ha6rnW2Bnvq22jbwasajvIpPfs7KSk5MpLS2lS5cu5cccHR3p0KEDhw4duqq4OXToEPHx8RWOxcbGSnFjQlLc2Ih7Y4KY9vshLhWUoK3jpHYcIWqNTq/j832f88meT4ioH8GcnnMI9ghWO5Y6IhJg+2dwequhJcdMuTq4VroVRYjKMN9SXhjVgDYBKAr8slvWvBHW60zeGR5b9Rgf7/mYx1s9zvze8223sAEI7ggeAYY1b0S1NW7cGCcnJzZt2lR+rLS0lB07dtCy5dVFWYsWLdi2bVuFY1u3bq31nOIfUtzYiHruztzW3Jcfk2TWlLA+JboS5uydQ/wv8ZzNP8vcnnN5JvoZ650NVVl2doadwg/+Anqd2mksVp06dRgxYgQvvvgiK1as4ODBgwwfPpzCwkIee+yxq85/9tlnWbFiBdOnT+fYsWN89NFH0iVlYlLc2JB7Y4LYfzaXQ+dz1Y4ihNFsObeFe5bew8e7P2ZQ80H80v8X2vm3UzuW+YiIh4IMOLXp5ueK65o2bRr33HMPgwcPpm3bthw/fpyVK1ei1WqvOrdTp07MmTOHDz74gKioKFatWsWECRNUSG27NIpiW4sg5Obm4uXlRU5ODp6enmrHMalSnZ5OU9YwIDqQV/tK/7awbBmFGUzfMZ3fT/5OW9+2TOg0gXBtuNqxzI+iwMzW0OR2uHumqlFKS0vJzMzEx8cHR0cbb1UT12Ss94i03NgQR3s7BkQHsuSvs5Tq9GrHEaJayvRlfHPwG/ot6ce2tG1M6TqF+b3nS2FzPRoNRAyAQ0tBV6Z2GiFMQoobG3NvTBAXC0pYdyRT7ShCVNnOtJ088OsDvLPjHfqG9WXpgKXc3fhuy9/Ju7ZFJkDhRTj5p9pJhDAJmQpuY1o08CQy0JMfdp7mjpay5o2wDDvTdjJ7z2y2pW0jol4E3/X5joj6EWrHshwN2oA21DBrqvFtaqcRotZJy40NurdtEGsPZ3Axv1jtKELc0I60HTy68lGGrRxGTkkOM2+dyYI+C6SwqSqNxrDmzaFlUFaidhohap0UNzaoX5tANBpYsvuc2lGEuKYdaTsYtmIYj658lLySPD649QO+7/s9tze8HTuN/NiqlsgEKMqGE+vVToKNzWMRVWCs94Z0S9mgunWciGvhxw87T/Nol1AZryDMgqIobD2/lU/3fsqu9F20qNuC/936P3oE95D3qDH4RUK9cEPXVPgdqkSwt7cHoKSkBCcnWSldXE2nM6zHZFfD7UKkuLFRD3RoyNB523nj14NM6NMSezv5z0OoI70gnaXJS1l8fDGn807Tom4LPrztQ7oHdZeixpg0GsOaN9s+hbJicHA2eQQ7Ozvc3NzIzTWsteXk5CR/x6Kcoijk5ubi5ORU4+JG1rmxYV9vOcmkpQfoFeHP+wPb4OJor3YkYSNK9aX8efpPfj7+MxvPbsTJzomeoT2JbxJPjF+M/IdXWzIOwcedYNBCaHanKhEURSEnJ4fCwkJV7i/Mm0ajwcfHBweHmrW9SHFj41YdSGPkd3/ROsiLOUPa4e0mTcWi9qTkpLDk2BJ+Sf6FrKIsIupFkBCewJ2N7sTDyUPteLZhVifwbwX3zFE1hl6vL++CEOIKBwcHo3y4keJGsOvUJR7/cgf13J2ZP6w9QVo3tSMJK1FYWsjO9J1sOruJzec2czL3JF7OXvQN60t8k3ia1W2mdkTbs/4d2PQBvHgcHF3VTiNErTCLaQezZs0iNDQUFxcXOnbsyPbt2294/g8//EDz5s1xcXGhVatW/PbbbyZKap1iQrT8NKIzxWU64j/ezIFzOWpHEhZKURQOZx1m7r65PLbyMbos7MLTa55m/Zn1tPdvz8weM1lz3xrGdRgnhY1aIuKhJB+OrVY7iRC1RvWWm0WLFjFkyBBmz55Nx44dmTlzJj/88ANHjhzB19f3qvM3b97MLbfcwtSpU+nbty8LFizg7bffJikpicjIyJveT1puri8zr5jHvtxBckY+swfH0C3cR+1IwoxdLrvMiZwTJGcnl3/tu7CPi0UXcXVwpb1/ezoHdKZLQBdCPENkHI05+aQr1A+H+75QO4kQtUL14qZjx460b9+ejz76CDD0wwYHBzNy5EjGjRt31fkDBw6koKCAX3/9tfxYp06daNOmDbNnz77p/aS4ubGC4jKeWZDEhmMXePue1twTE6R2JGFCpbpS8kvzyS/Np6C0gPySv38tzSe/JJ+zBWdJyU7hePZxzuWfQ8Hw46NBnQaEeYfRXNuc2IBYon2jcbKX8Vtma8MM+HO6oWvKqY7aaYQwOlWngpeUlLBr1y7Gjx9ffszOzo64uDi2bNlyzWu2bNnCmDFjKhzr1asXS5Ysueb5xcXFFBf/sxJvTo6hy6XzF52xd5XZQdfj0lBhwjaFCdvUTiJMRgMazfUHeCqKHZR5oi/2RSkNRilpi1Lii1LiQ7LiQjKwGviQM8AZU6UW1RCEK8scCyidGISCtKgJy+H08kk8PDxu2hKsanFz4cIFdDodfn4V9zjy8/Pj8OHD17wmLS3tmuenpaVd8/ypU6fy+uuvX3X8wOgD1UwthBCWLQXwUjuEENXxduV6Xqx+Eb/x48dXaOnR6/VkZWVRr149GQNwE7m5uQQHB3P69GnpwqsBeR2NR15L45HX0jjkdTSeyr6WHh43XzZC1eKmfv362Nvbk56eXuF4eno6/v7+17zG39+/Suc7Ozvj7FxxJU5vb+/qh7ZBnp6e8o/WCOR1NB55LY1HXkvjkNfReIzxWqo6FdzJyYmYmBjWrFlTfkyv17NmzRpiY2OveU1sbGyF8wFWr1593fOFEEIIYVtU75YaM2YMQ4cOpV27dnTo0IGZM2dSUFDAsGHDABgyZAiBgYFMnToVgFGjRtG9e3dmzJhBnz59WLhwITt37uSzzz5T89sQQgghhJlQvbgZOHAgmZmZTJw4kbS0NNq0acOKFSvKBw2npqZW2ECrc+fOLFiwgAkTJvDyyy8THh7OkiVLKrXGjagaZ2dnJk2adFW3nqgaeR2NR15L45HX0jjkdTQeY76Wqq9zI4QQQghhTGax/YIQQgghhLFIcSOEEEIIqyLFjRBCCCGsihQ3QgghhLAqUtzYuE8++YTWrVuXL5oUGxvL77//Xv54UVERTz/9NPXq1cPd3Z177rnnqkUUxdWmTZuGRqNh9OjR5cfktayc1157DY1GU+GrefPm5Y/L61g1Z8+e5eGHH6ZevXq4urrSqlUrdu7cWf64oihMnDiRBg0a4OrqSlxcHMeOHVMxsXkKDQ296n2p0Wh4+umnAXlfVpZOp+PVV1+lUaNGuLq60rhxYyZPnsy/5zYZ5T2pCJu2dOlSZfny5crRo0eVI0eOKC+//LLi6Oio7N+/X1EURXnyySeV4OBgZc2aNcrOnTuVTp06KZ07d1Y5tXnbvn27EhoaqrRu3VoZNWpU+XF5LStn0qRJSkREhHL+/Pnyr8zMzPLH5XWsvKysLCUkJER55JFHlG3btikpKSnKypUrlePHj5efM23aNMXLy0tZsmSJsmfPHqVfv35Ko0aNlMuXL6uY3PxkZGRUeE+uXr1aAZTExERFUeR9WVlvvfWWUq9ePeXXX39VTpw4ofzwww+Ku7u78sEHH5SfY4z3pBQ34iparVb5/PPPlezsbMXR0VH54Ycfyh87dOiQAihbtmxRMaH5ysvLU8LDw5XVq1cr3bt3Ly9u5LWsvEmTJilRUVHXfExex6oZO3as0rVr1+s+rtfrFX9/f+Xdd98tP5adna04Ozsr3333nSkiWqxRo0YpjRs3VvR6vbwvq6BPnz7Ko48+WuFYQkKC8tBDDymKYrz3pHRLiXI6nY6FCxdSUFBAbGwsu3btorS0lLi4uPJzmjdvTsOGDdmyZYuKSc3X008/TZ8+fSq8ZoC8llV07NgxAgICCAsL46GHHiI1NRWQ17Gqli5dSrt27bjvvvvw9fUlOjqaOXPmlD9+4sQJ0tLSKryeXl5edOzYUV7PGygpKeGbb77h0UcfRaPRyPuyCjp37syaNWs4evQoAHv27GHjxo3ceeedgPHek6qvUCzUt2/fPmJjYykqKsLd3Z3FixfTsmVLdu/ejZOT01Ubjfr5+ZGWlqZOWDO2cOFCkpKS2LFjx1WPpaWlyWtZSR07dmT+/Pk0a9aM8+fP8/rrr9OtWzf2798vr2MVpaSk8MknnzBmzBhefvllduzYwbPPPouTkxNDhw4tf82urAh/hbyeN7ZkyRKys7N55JFHAPn3XRXjxo0jNzeX5s2bY29vj06n46233uKhhx4CMNp7UoobQbNmzdi9ezc5OTn8+OOPDB06lPXr16sdy6KcPn2aUaNGsXr1alxcXNSOY9GufIIDaN26NR07diQkJITvv/8eV1dXFZNZHr1eT7t27ZgyZQoA0dHR7N+/n9mzZzN06FCV01muuXPncueddxIQEKB2FIvz/fff8+2337JgwQIiIiLYvXs3o0ePJiAgwKjvSemWEjg5OdGkSRNiYmKYOnUqUVFRfPDBB/j7+1NSUkJ2dnaF89PT0/H391cnrJnatWsXGRkZtG3bFgcHBxwcHFi/fj3/+9//cHBwwM/PT17LavL29qZp06YcP35c3pNV1KBBA1q2bFnhWIsWLcq7+a68Zv+d1SOv5/WdOnWKP/74g8cff7z8mLwvK+/FF19k3LhxPPDAA7Rq1YrBgwfz3HPPlW+Obaz3pBQ34ip6vZ7i4mJiYmJwdHRkzZo15Y8dOXKE1NRUYmNjVUxofm6//Xb27dvH7t27y7/atWvHQw89VP57eS2rJz8/n+TkZBo0aCDvySrq0qULR44cqXDs6NGjhISEANCoUSP8/f0rvJ65ubls27ZNXs/r+OKLL/D19aVPnz7lx+R9WXmFhYUVNsMGsLe3R6/XA0Z8Txpn/LOwVOPGjVPWr1+vnDhxQtm7d68ybtw4RaPRKKtWrVIUxTC9sWHDhsratWuVnTt3KrGxsUpsbKzKqS3Dv2dLKYq8lpX1/PPPK+vWrVNOnDihbNq0SYmLi1Pq16+vZGRkKIoir2NVbN++XXFwcFDeeust5dixY8q3336ruLm5Kd988035OdOmTVO8vb2VX375Rdm7d6/Sv39/mQp+HTqdTmnYsKEyduzYqx6T92XlDB06VAkMDCyfCv7zzz8r9evXV1566aXyc4zxnpTixsY9+uijSkhIiOLk5KT4+Pgot99+e3lhoyiKcvnyZeWpp55StFqt4ubmpsTHxyvnz59XMbHl+G9xI69l5QwcOFBp0KCB4uTkpAQGBioDBw6ssC6LvI5Vs2zZMiUyMlJxdnZWmjdvrnz22WcVHtfr9cqrr76q+Pn5Kc7Ozsrtt9+uHDlyRKW05m3lypUKcM3XR96XlZObm6uMGjVKadiwoeLi4qKEhYUpr7zyilJcXFx+jjHekxpF+deygEIIIYQQFk7G3AghhBDCqkhxI4QQQgirIsWNEEIIIayKFDdCCCGEsCpS3AghhBDCqkhxI4QQQgirIsWNEEIIIayKFDdCCCGEsCpS3AghhBDCqkhxI4QQQgirIsWNEEIIIayKFDdCCLO3YsUKunbtire3N/Xq1aNv374kJyeXP75582batGmDi4sL7dq1Y8mSJWg0Gnbv3l1+zv79+7nzzjtxd3fHz8+PwYMHc+HCBRW+GyFEbZPiRghh9goKChgzZgw7d+5kzZo12NnZER8fj16vJzc3l7vvvptWrVqRlJTE5MmTGTt2bIXrs7Ozue2224iOjmbnzp2sWLGC9PR07r//fpW+IyFEbZJdwYUQFufChQv4+Piwb98+Nm7cyIQJEzhz5gwuLi4AfP755wwfPpy//vqLNm3a8Oabb7JhwwZWrlxZ/hxnzpwhODiYI0eO0LRpU7W+FSFELZCWGyGE2Tt27BiDBg0iLCwMT09PQkNDAUhNTeXIkSO0bt26vLAB6NChQ4Xr9+zZQ2JiIu7u7uVfzZs3B6jQvSWEsA4OagcQQoibufvuuwkJCWHOnDkEBASg1+uJjIykpKSkUtfn5+dz99138/bbb1/1WIMGDYwdVwihMiluhBBm7eLFixw5coQ5c+bQrVs3ADZu3Fj+eLNmzfjmm28oLi7G2dkZgB07dlR4jrZt2/LTTz8RGhqKg4P82BPC2km3lBDCrGm1WurVq8dnn33G8ePHWbt2LWPGjCl//MEHH0Sv1/PEE09w6NAhVq5cyfTp0wHQaDQAPP3002RlZTFo0CB27NhBcnIyK1euZNiwYeh0OlW+LyFE7ZHiRghh1uzs7Fi4cCG7du0iMjKS5557jnfffbf8cU9PT5YtW8bu3btp06YNr7zyChMnTgQoH4cTEBDApk2b0Ol09OzZk1atWjF69Gi8vb2xs5Mfg0JYG5ktJYSwOt9++y3Dhg0jJycHV1dXteMIIUxMOp+FEBbvq6++IiwsjMDAQPbs2cPYsWO5//77pbARwkZJcSOEsHhpaWlMnDiRtLQ0GjRowH333cdbb72ldiwhhEqkW0oIIYQQVkVG0gkhhBDCqkhxI4QQQgirIsWNEEIIIayKFDdCCCGEsCpS3AghhBDCqkhxI4QQQgirIsWNEEIIIayKFDdCCCGEsCr/DxMXV+grZVRHAAAAAElFTkSuQmCC",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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BEyMmIsg5SHQcaiAWNxYsZmArFJRW4Judl0RHIUulXzURsXKjPy97bkgwSZLwn/3/QRPnJhjXdpzoOGQELG4sWICbBmN7hmDJ7mTkFJaJjkOWqCS3su/FzknM+bktRWZgy5UtSMhIwFvd3uKIBZlgcWPh/tUnFDpJwqJdXL2heijOqVw9EdVfoHFncUNClVSUYN7heegX1A89AnqIjkNGwuLGwnk6qTG2ZwiW7r2MmwWlouOQpSnOFddvA1T23HBbigT6/vT3yCzOxGudXxMdhYyIxY0MTOwdCqVCga/Ze0N1VZwr5jJwPU4GJ4EyijKw+NRijG49Gk1dmoqOQ0bE4kYG3B3tMKFXCJbtu4yMWyWi45AlETURXI/bUiTQ5wmfw15lj4mRE0VHISNjcSMTz9wTCluVEl/FJ4mOQpZE1ERwPXs3oLwQqGBDPJnWqaxTWJe0DpM7TIaLnYvoOGRkLG5kwtXBFs/1DsXyAynIyOfqDdWSqIngehzBQAJIkoSPD32Mlu4t8XDLh0XHoUbA4kZGxvUKgVqlxLe7k0VHIUtRnCO+50afg8hEtqdux9GMo3it02uwUdqIjkONgMWNjLjY22JMz6b4cf8V5BZxmZ9qwRx6bgD23ZDJVOgq8EXCF+jm342XfssYixuZGd+rGXSShKV7L4uOQuauohQoLxLfcwNwW4pM5o+kP5CUl4RXO77K+VEyxuJGZryc1HiiSzC+23OZM6fozvSrJdyWIitRUlGCBccW4L6m96GtV1vRcagRsbiRoYl9QlFYWoEVBzgxnO5A5ERwPVsNYGPPbSkyiZ/P/Yys4iy83PFl0VGokbG4kaEANw0e7hiIRbsuoaRcKzoOmSvRE8H1OBmcTCC/LB+LTi7CIy0f4Q37rACLG5l6vm9zZBaU4reEq6KjkLkSPRFcj5PByQSWnFyCcl05no98XnQUMgEWNzIV6u2EB9r74+sdl6DVSaLjkDnSr5aI7LkBOIKBGl1WcRaWn12O0W1Gw9vBW3QcMgEWNzI2sXcoUrKLEHsmTXQUMkcluYCNBrC1F5uDIxiokX136jvYKG0wru040VHIRFjcyFhkkBu6hnjg2128qR/VQPREcD1OBqdGlFWchV8Sf8HoNqPhqnYVHYdMhMWNzD3buxkOX8nB0RQu+9P/KM4R328D/LVyw9+f1DgWn1wMW6Utng5/WnQUMiEWNzI3oI0vQjwduHpD1ZXkiu+3Af7quckVnYJkKLMoE6vOr8LT4U9z1cbKsLiROZVSgWfuaYZNp24gNbtIdBwyJ6InguvpLwWX2PhOxrX41GLYqezwVPhToqOQiQkvbhYsWICQkBDY29ujW7duOHjw4B2P/+yzzxAWFgaNRoOgoCC8+uqrKCnhFOw7eaRTE7hobPHdnsuio5A5ET0RXE/jDujKK0dBEBlJemE6ViWuwpjwMXC2cxYdh0xMaHGzcuVKxMTEYMaMGUhISEBkZCQGDRqEjIyMGo//6aef8Oabb2LGjBk4e/YsFi9ejJUrV+Ktt94ycXLL4mBng9HdgrHyUAryS8pFxyFzIXoiuB5HMFAjWHxqMext7PFUG67aWCOhxc28efPw3HPPYfz48QgPD8fChQvh4OCAJUuW1Hj83r170atXLzz55JMICQnBfffdh1GjRt11tYeAsT1CUKbV4eeDHMlAfxE9EVyPk8HJyDKKMvDb+d8wtu1YONk5iY5DAggrbsrKynDkyBFER0f/HUapRHR0NPbt21fjc3r27IkjR44YiplLly5h48aNeOCBB257ntLSUuTn51f5YY18XOwxLCIAP+y/wpv6UWV/izldCg7wcnAymmWnl0GtUuPJ1k+KjkKCCCtusrKyoNVq4evrW+VxX19fpKXVfNO5J598Eh988AHuuece2Nraonnz5ujXr98dt6Vmz54NV1dXw4+goCCjvg9LMqZnCFKzixGfWPO2H1mRssLKPhezWrnhthQ1XF5pHn45/wueaP0EV22smPCG4rqIj4/HrFmz8H//939ISEjA6tWrsWHDBsycOfO2z5k2bRry8vIMP1JTU02Y2LxEBbkhookrlu27IjoKiaZfJTGHnhv7vy7R5bYUGcFPZ3+CJEm8QsrK2Yg6sZeXF1QqFdLT06s8np6eDj8/vxqf8+677+Lpp5/Gs88+CwBo3749CgsLMXHiRLz99ttQKqvXamq1Gmq12vhvwEKN6RGC11YdR3JWIZp5OYqOQ6KYy0RwAFDZAHbOXLmhBisqL8KPZ3/EI60egYe9h+g4JJCwlRs7Ozt06tQJcXFxhsd0Oh3i4uLQo0ePGp9TVFRUrYBRqVQAAIn3yKiVoRH+cHewxQ9cvbFu5jIRXI+TwckIVp1fhaLyIowNHys6CgkmdFsqJiYGixYtwvfff4+zZ8/ihRdeQGFhIcaPHw8AGDNmDKZNm2Y4ftiwYfjqq6/w888/Izk5GbGxsXj33XcxbNgwQ5FDd2Zvq8LILsFYdSQVRWUVouOQKOYyEVxP48qVG2qQMm0Zlp1ehqHNh8LfyV90HBJM2LYUAIwcORKZmZmYPn060tLSEBUVhc2bNxuajFNSUqqs1LzzzjtQKBR45513cO3aNXh7e2PYsGH48MMPRb0FizS6WzC+2ZmENUev48luwaLjkAiGnhszuSU9J4NTA61LWofM4kxMaDdBdBQyAwrJyvZz8vPz4erqiry8PLi4uIiOI8xzyw4jNbsIm6b0hkKhEB2HTG3P58DOucA0M2mwX/k0UHoLGLNGdBKyQBW6CgxfMxytPVpjXr95ouOQGbCoq6XIeMb0aIpzabdw6DK3AqySudzjRo89N9QAW69sReqtVDzT/hnRUchMsLixUr2aeyHU2xE/7GdjsVUyl4ngepwMTvUkSRK+P/09uvl3Q1vPtqLjkJlgcWOllEoFRnUJxpZTacguLBMdh0ytOMd8rpQC/uq54Soi1V1CRgJO3TyFMeFjREchM8Lixoo93DEQEiSsTrgqOgqZmrltS9m7ASV5gE4nOglZmGWnlyHUNRT3BN4jOgqZERY3VszTSY1Bbf3w86FU3ifI2pjLRHA9jRsACSjNE52ELMiV/CvYnrodT4c/DaWC387ob/zdYOVGdQ3GxYwCHL7CLQGrYi4TwfU4GZzq4cczP8Ld3h3Dmg8THYXMDIsbK9cj1BNNPR2w4mCK6ChkSsU55rctBbDvhmotrzQPa5PW4omwJ6BWccQOVcXixsoplQqM7BKEDSduIK+oXHQcMgWdDijJN8+VG14OTrX0S+Iv0Oq0eDzscdFRyAyxuCE82qkJtDoJa45dEx2FTKE0D4Bkhj034LYU1UqZtgw/nfsJw5oPg6fGU3QcMkMsbgg+zvaIbuOLFQdT2FhsDQwTwc1o5UbtAihU3JaiWtmUvAlZxVm8/Jtui8UNAQBGdQvGubRbOJaaKzoKNTbDRHA3kSmqUigq51xxW4ruQpIk/HDmB/QO7I1Qt1DRcchMsbghAEDvFl4IdNNg5SEzmTVEjcfcJoLrady4ckN3lZCRgMScRDzV5inRUciMsbghAJWNxY90aoINJ26guEwrOg41Jv3qiDltSwGcDE61suLcCoS4hKB7QHfRUciMsbghg0c6BuJWaQX+PJMmOgo1puKcyv4WtbPoJFXZu3Hlhu4ovTAdcVfi8ETrJ3jTProj/u4gg6aejujazAO/HuE4BlnTj15QKEQnqUrjXjmCgeg2fr3wK+xUdhjRfIToKGTmWNxQFY92bILdF7NwPbdYdBRqLOY2EVyPk8HpDsq15ViVuArDmg+Dk52T6Dhk5ljcUBUPRPjD3kaF34/ynjeyZW4TwfU4GZzu4M8rf+JmyU082fpJ0VHIArC4oSqc1Da4v50ffjtylfe8kStzmwiuZ+/GS8HptlacW4Fu/t14+TfVCosbqubRTk1wKasQCSm5oqNQYyjONd+Vm7ICQMsxIFTV6ZuncTzzOEa1HiU6ClkIFjdUTfdQTwS6adhYLFfm3HMDsO+GqllxdgX8Hf3Rt0lf0VHIQrC4oWqUSgUe7hiI9cevo6Sc97yRHXObCK7HyeBUg5ySHGxK3oSRYSNho7QRHYcsBIsbqtEjHZvgVmkFtpzmPW9kx5y3pQD23VAVay6ugQQJD7d8WHQUsiAsbqhGIV6O6NTUHWt41ZS8VJQB5YVmvi3FlRuqJEkSfj3/KwY2HQh3ezMsyMlssbih23owKgA7L2ThZkGp6ChkLOY6egH4OxN7bugvB9MOIuVWCh5r9ZjoKGRhWNzQbQ2JCIACwIaTN0RHIWMxx4ngerYaQKXmthQZrDq/Cs1cm6GTbyfRUcjCsLih2/JwtEOfVt5Ye+y66ChkLPotH3NcuQF4Iz8yuFl8E3EpcXi05aNQmNuoEDJ7LG7ojkZEBeDIlRykZheJjkLGoF8VMceeG4AjGMhgbdJaKKHEiBacI0V1x+KG7mhguC8c7FRYe4yNxbJgWLlxExrjtjgZnADoJB1+O/8b7gu5D65qV9FxyAKxuKE7crCzwX3hvlhz7DrHMchBcS5gY1/Z32KONO7suSFDI/GjrR4VHYUsFIsbuqsRHQJxMaMAZ27ki45CDVWcY75bUsBf21JcubF2qxJXIdQ1FB19OoqOQhaKxQ3d1T0tvODhaMfGYjkoyTXfZmLgr4biXNEpSKCs4ixsS9mGx1o9xkZiqjcWN3RXtiolhkb4Y92x69DquDVl0cx1IrgeJ4NbvbUX10KlVGFY82Gio5AFY3FDtTIiKhBp+SU4kHxTdBRqiOIcC1i5yQHY32WVJEnC6gurMbDpQDYSU4OwuKFa6RjshiAPDdYe5daURTPXieB6GjdAWwaUF4tOQgIkZCQg5VYK50hRg7G4oVpRKBQYHhmAzafTUK7ViY5D9WUJKzcAm4qt1JqLa9DEqQnvSEwNxuKGam1I+wDkFZdjz8Us0VGoviyh5wZg340VKiovwpbLWzCixQgoFfzWRA3D30FUa238nRHq5YgNJzhryiJJkmVcCg5w5cYKbbm8BSUVJRjRnHckpoZjcUO1plAoMCTCH1tOp6GsgltTFqe8CNCVW8i2VK7QGGR6ay6uQXf/7vB38hcdhWSAxQ3VyZAIf+SXVHBryhKZ80RwPfu/rpDhtpRVuZJ/BQkZCXiwxYOio5BMsLihOgnzdUZzb0es59aU5TH3ieAAoLIF7Jy5LWVl1l5cC2c7Z/QP7i86CskEixuqk8qtqQD8eSYNpRVa0XGoLsx9IrgeJ4NbFa1Oi7VJa/FAswdgb2MvOg7JBIsbqrOhEf64VVKB3Re4NWVRLGHlBuB8KSuz78Y+ZBRlcEuKjIrFDdVZK19ntPRx4lVTlka/GmJv5nd+5QgGq7Lm4hq0cGuBtp5tRUchGWFxQ/UyJMIfsWfSUVLOrSmLUZwDqF0AlY3oJHemH8FAspdXmodtKdvwYIsHOSSTjIrFDdXLkPb+uFVagV3cmrIc5j56QY89N1Zjw6UNkCQJQ0OHio5CMsPihuqlpa8zwnydseEEZ01ZjOIcQGPmW1JAZQHGlRursP7SetwTeA88NZ6io5DMsLiheuPWlIUpzjX/ZmKgMiN7bmQvOS8ZJ7NOYmhzrtqQ8bG4oXq7v50fCsu02JvErSmLYEnbUiV5gI53wZazDZc2wMnWCf2C+omOQjLE4obqrYWPE0K9HbH5VJroKFQb5j4RXE/jDkg6oDRfdBJqJJIkYf2l9bgv5D6oVWrRcUiGWNxQvSkUCgxq64fYM+mo0PJf2WbP3CeC63EyuOwdyzyGawXX2EhMjYbFDTXI4LZ+yCkqx6HLbAA1e5a0cgOwqVjG/kj6A/6O/ujk20l0FJIpFjfUIBFNXOHvao8tp7k1ZdZ0uso+FkvpuQF4ObhMlWnLsOXyFgwJHQKlgt+CqHHwdxY1iH5rasvpNEiSJDoO3U5pHgDJsraluHIjS7uu7kJ+WT63pKhRsbihBhvU1g838kpw4mqe6Ch0O/pVEEvYllK7AAole25kav2l9Wjj0QbN3ZqLjkIyxuKGGqxLiDvcHWy5NWXOLGUiOAAolZXzr7gtJTt5pXnYcXUHhjUfJjoKyRyLG2owG5USA8N9sZnFjfmylIngepwvJUt/XvkTWkmL+5vdLzoKyRyLGzKKQW39cCmzEBczbomOQjUxbEu5iUxRe5wMLkvrk9ajR0APeGm8REchmWNxQ0bRq4UXHO1UvKGfuSrOARSqyn4WS8CVG9m5eusqEjIS2EhMJsHihozC3laFe1v7YMvpdNFRqCYluZV9LAqF6CS1w8ngsrP58mZobDToH9RfdBSyAixuyGgGtfXDyWt5uJpTJDoK/S9LuYGfnsadxY3MbE7ejL5N+sLB1kF0FLICLG7IaO5t7QM7lZKrN+bIUkYv6LHnRlYu5V5CYk4iG4nJZFjckNE4qW3Qs4Un4s6yuDE7xTmWcRm4nsaNPTcysvnyZjjbOuOewHtERyErIby4WbBgAUJCQmBvb49u3brh4MGDdzw+NzcXkyZNgr+/P9RqNVq1aoWNGzeaKC3dzYA2vjiYnI284nLRUeifSvIsb1uqrADQ8veRpZMkCZuSN6F/cH/YqexExyErUe/iJi4uDkOHDkXz5s3RvHlzDB06FFu3bq3Ta6xcuRIxMTGYMWMGEhISEBkZiUGDBiEjI6PG48vKyjBw4EBcvnwZv/76KxITE7Fo0SIEBgbW922QkQ1o7YMKnYQd5zNFR6F/ssRtKaCyKCOLdi77HC7nX+aWFJlUvYqb//u//8PgwYPh7OyMKVOmYMqUKXBxccEDDzyABQsW1Pp15s2bh+eeew7jx49HeHg4Fi5cCAcHByxZsqTG45csWYLs7GysWbMGvXr1QkhICPr27YvIyMj6vA1qBAFuGrQNcOHWlLmxxIZigFtTMrDp8ia4q93R1b+r6ChkRepV3MyaNQuffvopVqxYgZdffhkvv/wyfvrpJ3z66aeYNWtWrV6jrKwMR44cQXR09N9hlEpER0dj3759NT5n3bp16NGjByZNmgRfX1+0a9cOs2bNglarve15SktLkZ+fX+UHNa4BbXyx/VwGyrU60VFIryTX8npuAF4xZeEkScLm5M0Y2HQgbJW2ouOQFalXcZObm4vBgwdXe/y+++5DXl7tlpGzsrKg1Wrh6+tb5XFfX1+kpdV8I7hLly7h119/hVarxcaNG/Huu+/ik08+wX/+85/bnmf27NlwdXU1/AgKCqpVPqq/gW18kV9SgcOX+a9us6Atr+xf4coNmdjxzOO4UXgDg5tV/35B1JjqVdwMHz4cv//+e7XH165di6FDG+/ukzqdDj4+Pvjmm2/QqVMnjBw5Em+//TYWLlx42+dMmzYNeXl5hh+pqamNlo8qtQt0ga+LGlu5NWUeLG30AvCPnptckSmogTZf3gwfjQ86+nQUHYWsjE19nhQeHo4PP/wQ8fHx6NGjBwBg//792LNnD/7973/jiy++MBz78ssv1/gaXl5eUKlUSE+v+g0wPT0dfn5+NT7H398ftra2UKlUhsfatGmDtLQ0lJWVwc6ueie+Wq2GWq2u83uk+lMoFBjQxhdbz6bjnSFtoLCUu+LKlX71w5K2pWw1gMqOKzcWTKvTYsvlLRgcMhgqperuTyAyonoVN4sXL4a7uzvOnDmDM2fOGB53c3PD4sWLDT9XKBS3LW7s7OzQqVMnxMXF4cEHHwRQuTITFxeHyZMn1/icXr164aeffoJOp4NSWbnodP78efj7+9dY2JA40W188NOBFCRlFqCFj7PoONZNv/phSdtSCgXvUmzhjqQfQVZxFq+SIiHqVdwkJycb5eQxMTEYO3YsOnfujK5du+Kzzz5DYWEhxo8fDwAYM2YMAgMDMXv2bADACy+8gPnz52PKlCl46aWXcOHCBcyaNeu2BRSJ07O5FzS2Kmw9m8HiRjRL3JYCeJdiC7cxeSMCnQLR3qu96ChkhepV3BjLyJEjkZmZienTpyMtLQ1RUVHYvHmzock4JSXFsEIDAEFBQdiyZQteffVVREREIDAwEFOmTMHUqVNFvQW6DXtbFe5p6YWtZ9LxfN/mouNYN/3WjiWt3ACcDG7ByrXl2JqyFY+2fJTb0iRErYubmJgYzJw5E46OjoiJibnjsfPmzat1gMmTJ992Gyo+Pr7aYz169MD+/ftr/fokTnQbH0xbfRI3C0rh6cS+J2FKcgGVurKPxZJwMrjFOpB2AHmlebxKioSpdXFz9OhRlJeXG/7/dlilk17/1r6QcBLbEzPxaKcmouNYL0u7gZ+exh3INs4WOJlWXEocmjg1QZh7mOgoZKVqXdxs3769xv8nuh1vZzUim7gh7mw6ixuRLG30gh57biySVqfFtpRtGN58OP+xS8IIH5xJ8jYw3Bc7z2eitOL2d5GmRmbJKzfsubE4xzOPI7skGwOCB4iOQlasXg3FhYWFmDNnDuLi4pCRkQGdrupt9i9dumSUcGT5+oV5479bEnH4cg56tfASHcc6WdroBT323FikuJQ4eGm8EOEdIToKWbF6FTfPPvssduzYgaeffhr+/v5ceqTbCvd3gY+zGvGJGSxuRCnOBTyaiU5Rd/ZugLYUKC+2vGZoKyVJEuJS4tA/qD+UCm4MkDj1Km42bdqEDRs2oFevXsbOQzKjUChwb5gPtidm4u0hotNYqeIcQGOBt7//53wpFjcWITEnEdcKrnFLioSrV2nt7u4ODw8PY2chmeoX5o2LGQVIzS4SHcU6WfK2FMCtKQuy9cpWONs5o4tfF9FRyMrVq7iZOXMmpk+fjqIifrOiu+vV0gs2SgXiEzNER7E+kmTZDcUAm4otSFxKHPo26Qtbla3oKGTlar0t1aFDhyq9NRcvXoSvry9CQkJga1v1N3JCQoLxEpLFc7G3RecQd8QnZuLpHiGi41iX8mJAW2a5l4IDvBzcQlzJv4KLuRcxKWqS6ChEtS9u9MMtierj3jAffLr1PErKtbC35YRgk7HU0QvAP7aluHJjCeJS4mCvskfPgJ6ioxDVvriZMWNGY+YgmesX5oPZm87hQHI2+rbyFh3HeuhXPSyx50ZlC9g5sefGQsSlxKFnQE842DqIjkJUv56b1NRUXL161fDzgwcP4pVXXsE333xjtGAkL618nRDgas++G1MzrNy4CY1Rb/ZuXLmxAOmF6TiReQLRTaNFRyECUM/i5sknnzSMYEhLS0N0dDQOHjyIt99+Gx988IFRA5I8KBQK9Gvtg/jETNFRrIt+1cMSt6WAytzsuTF721O3w0Zhgz5N+oiOQgSgnsXNqVOn0LVrVwDAL7/8gvbt22Pv3r1Yvnw5li5dasx8JCP9WnkjOasQyVmFoqNYD8O2lKvQGPXGuxRbhLiUOHTx6wJXtYX+PiPZqVdxU15eDrVaDQDYunUrhg8fDgBo3bo1bty4Ybx0JCu9WnjBVsVLwk2qOAewc67sX7FEGjduS5m5vNI8HEo7xBv3kVmpV3HTtm1bLFy4ELt27UJsbCwGDx4MALh+/To8PT2NGpDkw1Ftg27NPLk1ZUqWOhFcj5PBzd6OqzuglbS4N/he0VGIDOpV3Hz00Uf4+uuv0a9fP4waNQqRkZEAgHXr1hm2q4hq0i/MG/su3URxGaeEm0RxjmUXN5wMbva2XtmKSO9I+Dj4iI5CZFDn2VKSJCE0NBQpKSmoqKiAu/vfjYoTJ06EgwMvA6Tb6xfmg/9sOIt9l7LQv7Wv6DjyZ6mjF/TYc2PWisqLsPf6Xt64j8xOnVduJElCixYtkJaWVqWwAYCQkBD4+LB6p9tr7u2IIA8Ntp/j1pRJWOroBT391VI6negkVIO91/eiVFvKfhsyO3UubpRKJVq2bImbN282Rh6SOYVCgX6tfBB/PgOSJImOI39y6LmRdEDZLdFJqAZbU7aipXtLBLsEi45CVEW9em7mzJmD119/HadOnTJ2HrIC/cK8kZpdzEvCTUEO21IAt6bMULm2HDtTd3LVhsxSnXtuAGDMmDEoKipCZGQk7OzsoNFoqnw9OzvbKOFInno094SdSokd5zMR6u0kOo68yWFbCqh8H+5NxWahKg6mHcSt8luIDuZdicn81Ku4+eyzz4wcg6yJg50NujbzQHxiJsb3aiY6jnzpdEBJnuVvSwG8HNwMxaXEIdApEK3cW4mOQlRNvYqbsWPHGjsHWZm+rbwx989ETglvTKX5lf0qclm5IbOh1WmxLWUbhoYOhUKhEB2HqJp69dwAQFJSEt555x2MGjUKGRmVd5zdtGkTTp8+bbRwJF99w7xRWqHD/ktsTG80ljwRXE/tAkDBnhszcyLrBG6W3MSApuy3IfNUr+Jmx44daN++PQ4cOIDVq1ejoKAAAHD8+HHMmDHDqAFJnlr6VE4J33Gel4Q3GsNEcAteuVEqOYLBDMVdiYOXxguR3pGioxDVqF7FzZtvvon//Oc/iI2NhZ2dneHx/v37Y//+/UYLR/KlUCjQN8wbOziKofEYJoK7iUzRcBzBYFYkScLWlK24N+heKBX1XvwnalT1+p158uRJPPTQQ9Ue9/HxQVZWVoNDkXXo28oHl7IKkXKzSHQUeZLDthTAuxSbmfM553Gt4BovASezVq/ixs3Nrcbp30ePHkVgYGCDQ5F16NXCEzZKBXac55TwRlGcAyiUf/WtWDDOlzIrcSlxcLZ1Rlc/zhEk81Wv4uaJJ57A1KlTkZaWBoVCAZ1Ohz179uC1117DmDFjjJ2RZMrZ3hadmrqz76axFOcC9q6VfSuWjNtSZmVrylb0CeoDW5Wt6ChEt1Wvv/VmzZqF1q1bIygoCAUFBQgPD0efPn3Qs2dPvPPOO8bOSDLWN8wbe5NuorSCU8KNztJv4KfHlRuzkZqfigs5F3jjPjJ79Spu7OzssGjRIiQlJWH9+vX48ccfce7cOfzwww9QqXjPEqq9fq18UFSmxeHL/OZldJY+ekFP4wYU54lOQajcklKr1OgZ0FN0FKI7qtdN/PSCg4MRFBQEALyRE9VLG39n+DirEZ+YgV4tvETHkReu3JCRbU3Zip4BPeFg6yA6CtEd1XszfvHixWjXrh3s7e1hb2+Pdu3a4dtvvzVmNrICCoUCfVt5s++mMVj6RHA9e7fKqeDactFJrFpmUSaOZx5HdFNuSZH5q1dxM336dEyZMgXDhg3DqlWrsGrVKgwbNgyvvvoqpk+fbuyMJHN9w7xxPr0A13OLRUeRl+Jc+azcAJVzskiYbSnboFKo0LdJX9FRiO6qXttSX331FRYtWoRRo0YZHhs+fDgiIiLw0ksv4YMPPjBaQJK/e1p4QakAdpzPxKiuwaLjyIecem6AymLNkVuXosSlxKGLXxe4ql1FRyG6q3qt3JSXl6Nz587VHu/UqRMqKioaHIqsi5uDHToEu/NuxcYmp20pgJeDC5RXmodDaYd44z6yGPUqbp5++ml89dVX1R7/5ptvMHr06AaHIuvTt5U39lzMQrlWJzqKPGjLK/tU5LQtxaZiYXZe3YkKqQL9g/uLjkJUK7XeloqJiTH8v0KhwLfffos///wT3bt3BwAcOHAAKSkpvIkf1Uu/MG/Miz2PhCs56BbqKTqO5dP3p8htW4qEiEuJQ4R3BHwcfERHIaqVWhc3R48erfLzTp06AQCSkpIAAF5eXvDy8sLp06eNGI+sRbsAV3g62iH+fCaLG2OQw0RwPVsHQGXHlRtBiiuKsefaHrwQ9YLoKES1VuviZvv27Y2Zg6ycUqlAn1aVU8KnDm4tOo7lk8tEcABQKDiCQaA91/agRFvCfhuyKBY+dIbkpG8rb5y5kY+M/BLRUSyfnFZuAN7IT6CtKVvRyr0Vmro0FR2FqNbqdSl4SUkJvvzyS2zfvh0ZGRnQ6ao2gSYkJBglHFmX3i29oPjrkvDHOgeJjmPZ9Ksccui5Af4awZArOoXVKdOWYUfqDowJZy8lWZZ6FTfPPPMM/vzzTzz66KPo2rUrRy+QUXg6qRER6Ip4FjcNV5xb2adiqxGdxDi4LSXE/hv7UVBewLsSk8WpV3Gzfv16bNy4Eb169TJ2HrJyfcN88P3ey6jQ6mCj4q5pvennSsnlHx4adyD3iugUVmfrla1o6tIULdxaiI5CVCf1+u4RGBgIZ2dnY2chQt9W3sgrLsfxq7mio1g2udydWI/bUiZXoavA9tTtiA6O5uo8WZx6FTeffPIJpk6diitX+C8pMq6oIDe4amx5t+KGkstEcD02FJvckfQjyC3NxcCmA0VHIaqzehU3nTt3RklJCUJDQ+Hs7AwPD48qP4jqS6VUoHdLL8RzSnjDyGX0gh57bkwu9kos/B39Ee4ZLjoKUZ3Vq+dm1KhRuHbtGmbNmgVfX18uWZJR9W3ljdd/PYGsglJ4OalFx7FMxTmARzPRKYxH4w5UlADlxfJpkjZjOkmHbSnbMChkEP9+J4tUr+Jm79692LdvHyIjI42dhwh9W3kDAHZdyMRDHZoITmOh5NhzA1SuSLG4aXQnMk8gsziTW1Jkseq1LdW6dWsUFxcbOwsRAMDHxR7h/i7su2kIOfbcAOy7MZHYK7HwtPdEpDf/AUuWqV7FzZw5c/Dvf/8b8fHxuHnzJvLz86v8IGqofmHe2HkhCzqdJDqKZZJjzw3AvhsTkCQJcSlxGBA8ACqlSnQconqp17bU4MGDAQADBlSdNSJJEhQKBbRabcOTkVXr28ob/xefhJPX8hAZ5CY6jmUpLwa0pfLdlqJGdTb7LK4VXOON+8ii1au44RBNamwdm7rDWW2D+MRMFjd1Jbe5UsDfhRq3pRrd1itb4WLngs5+nUVHIaq3ehU3ffv2NXYOoipsVUr0auGFHeczMCW6peg4lkVOE8H1bOwAW0duSzUySZIQeyUW9wbdC1ulreg4RPVW7/vb79q1C0899RR69uyJa9euAQB++OEH7N6922jhyLr1C/PGsdRc5BaViY5iWeS4cgPwRn4mkJSbhMv5l7klRRavXsXNb7/9hkGDBkGj0SAhIQGlpaUAgLy8PMyaNcuoAcl69Q3zhk4Cdl3IEh3FsshtIrgeRzA0ui1XtsDZ1hk9A3qKjkLUIPUqbv7zn/9g4cKFWLRoEWxt/1667NWrFxISEowWjqybv6sGYb7OiOcl4XVjWLlxExrD6Lhy06gkScLm5M24N/he2KnsRMchapB6FTeJiYno06dPtcddXV2Rm5vb0ExEBn3DvLHjfCYvCa+L4lzAzglQyaxnwt6VPTeN6HzOeVzOv4xBIYNERyFqsHoVN35+frh48WK1x3fv3o3Q0NAGhyLS69vKG1kFpTibxvsn1Zrc7k6sx22pRrXl8ha42Lmgh38P0VGIGqxexc1zzz2HKVOm4MCBA1AoFLh+/TqWL1+O1157DS+88IKxM5IV6xziDgc7Fbem6kJudyfW47ZUo5EkCZsvb0Z002jYym3Fj6xSvS4Ff/PNN6HT6TBgwAAUFRWhT58+UKvVeO211/DSSy8ZOyNZMbWNCj2be2HbuQxMureF6DiWQW53J9bjZPBGczb7LFJvpeKdbu+IjkJkFPVauVEoFHj77beRnZ2NU6dOYf/+/cjMzMTMmTONnY8IA8N9kJCSg6yCUtFRLENxjjyLG417ZeEmsf/K2DZf3gw3tRu6+ncVHYXIKOq0cjNhwoRaHbdkyZI6hViwYAH++9//Ii0tDZGRkfjyyy/Rtevd/5D9/PPPGDVqFEaMGIE1a9bU6ZxkOfq39gVwEtvOZuDxLkGi45i/klzAJUB0CuPTuAGSFii9Bdi7iE4jG5Ik4c/LfyK6aTRslPVazCcyO3VauVm6dCm2b9+O3Nxc5OTk3PZHXaxcuRIxMTGYMWMGEhISEBkZiUGDBiEjI+OOz7t8+TJee+019O7du07nI8vj7axGx2B3xJ5NFx3FMsi55wZg342Rnco6hWsF1zA4ZLDoKERGU6cy/YUXXsCKFSuQnJyM8ePH46mnnoKHh0eDAsybNw/PPfccxo8fDwBYuHAhNmzYgCVLluDNN9+s8TlarRajR4/G+++/j127dt3x8vPS0lLDTQYBcGq5hYpu44vP486juEwLjR0nFd+RnHtugL/6bpoKDCIvmy9vhoe9Bzr7cpYUyUedVm4WLFiAGzdu4I033sAff/yBoKAgPP7449iyZQukeuyDl5WV4ciRI4iO/vtW30qlEtHR0di3b99tn/fBBx/Ax8cHzzzzzF3PMXv2bLi6uhp+BAVxW8MSDQz3RUm5Dnsu8m7Fd6TTVX7zl/XKTa7QGHKik3T488qfGNh0IFRK/qOB5KPODcVqtRqjRo1CbGwszpw5g7Zt2+LFF19ESEgICgoK6vRaWVlZ0Gq18PX1rfK4r68v0tLSanzO7t27sXjxYixatKhW55g2bRry8vIMP1JTU+uUkcxDCx8nhHo5IvYMt6buqOwWIOnke58bgNtSRnQi8wTSCtO4JUWy06DuMaVSCYVCAUmSoNVqjZXptm7duoWnn34aixYtgpeXV62eo1aroVarGzkZmUJ0uC9WJ1yFTidBqVSIjmOe5DgRXE/tCkDBy8GNaPPlzfDWeKODTwfRUYiMqs4rN6WlpVixYgUGDhyIVq1a4eTJk5g/fz5SUlLg5ORUp9fy8vKCSqVCenrVf42np6fDz8+v2vFJSUm4fPkyhg0bBhsbG9jY2GDZsmVYt24dbGxskJSUVNe3QxZkYLgvsgrKcDQ1V3QU8yXXieAAoFRWjmDgyo1RaHVa/Hn5T9wXch+3pEh26rRy8+KLL+Lnn39GUFAQJkyYgBUrVtR6BaUmdnZ26NSpE+Li4vDggw8CAHQ6HeLi4jB58uRqx7du3RonT56s8tg777yDW7du4fPPP2c/jcx1DHaHh6Mdtp5NR6emMvzmbQxynQiuxxEMRnMo/RAyizNxf7P7RUchMro6FTcLFy5EcHAwQkNDsWPHDuzYsaPG41avXl3r14yJicHYsWPRuXNndO3aFZ999hkKCwsNV0+NGTMGgYGBmD17Nuzt7dGuXbsqz3dzcwOAao+T/KiUCvRv7YPYM+mYOri16DjmSc4rNwBHMBjRhksbEOQchAivCNFRiIyuTsXNmDFjoFAYt9dh5MiRyMzMxPTp05GWloaoqChs3rzZ0GSckpICpbJeN1ImGRoY7otfj1xFclYhmnk5io5jfopzASgAtUxvcscRDEZRqi3F1itbMbrNaKP/nU5kDupU3CxdurRRQkyePLnGbSgAiI+Pv+NzGysTmafeLb2gtlFi65l0PNeHE+ir0Y9ekOs/CDTuQBFvB9BQO1J3oKC8AENCh4iOQtQoZPo3IMmVg50N7mnhxUvCb6ckV779NgB7boxkw6UNCPcMRzPXZqKjEDUKFjdkcQaG++LwlWzc5CDN6opz5dtvA1S+N25LNUheaR52XduFIc24akPyxeKGLM6ANr6QAGzlrKnq5DoRXM/ejSs3DRR7JRZaScurpEjWWNyQxfF2VqNLiAc2n6r5LtZWzRq2pUrzAW2F6CQWa8OlDejq1xXeDt6ioxA1GhY3ZJHub+eH3RezkF9SLjqKeZHrRHA9/XsryRObw0KlFabhSPoRNhKT7LG4IYs0qK0fyrUStp3NEB3FvBTnyX9bCmDfTT1tSt4EO5UdooOj734wkQVjcUMWKcBNg8ggN2w6dUN0FPNiLSs3vJFfvWy4tAF9m/SFk13dRuUQWRoWN2Sx7m/nhx3nM1FUxv4LAJV9KGW35N9zA7CpuB4u5lxEYk4it6TIKrC4IYt1fzs/lJTrEJ+YKTqKedD3oVjDyg23pepsQ/IGuNi5oHdgb9FRiBodixuyWE09HdHG34VXTekZ5kq5CY3RqGwdAKUtt6XqSKvT4o+kPzAoZBBsVbai4xA1OhY3ZNEGt/XDtnMZKK3Qio4intwnggOAQsG7FNfDwbSDSC9Kx4gWI0RHITIJFjdk0e5v74eC0grsvsB5Q7KfCK7HyeB1tjZpLUJcQjgBnKwGixuyaC19nBDq7YhN3Jr6ezVDzttSACeD11FBWQHirsRhRIsRnABOVoPFDVk0hUKB+9v5IfZMOsq1OtFxxCrOAVR2lX0pcsaVmzr588qfKNWWYmjoUNFRiEyGxQ1ZvMFt/ZFXXI4Dl7JFRxFLP3pB7v86Z89Nnay9uBbd/bvDz9FPdBQik2FxQxavXaALmrhrsNHab+gn94ngepwMXmup+alIyEhgIzFZHRY3ZPEUCgWGtPfH5lNpqLDmrSm5TwTXs3fjtlQtrbu0Do62jugf3F90FCKTYnFDsjA0IgDZhWXYm3RTdBRxSnKtZ+WG21J3pZN0WHdxHQaHDIbGRiM6DpFJsbghWWgX6IIQTwesP3FddBRxinPkfY8bPY0bUFEMlJeITmLWjqQfwfXC6xjefLjoKEQmx+KGZEGhUGBoRAA2n0pDWYWVbk0V51rPthTAvpu7WHNxDYKcg9DBp4PoKEQmx+KGZGNYZADySyqw64KVzpqS+0RwPU4Gv6ui8iLEXonF8ObDeW8bskosbkg2wvyc0dLHCX8ct9KtKf2l4HLHyeB39eeVP1FcUcwtKbJaLG5IVoZFBiD2TDpKyq1s1lR5MVBRwpUbAgCsvrAa3f27I8ApQHQUIiFY3JCsDI3wR2GZFtvPZYiOYlrWMnoBYM/NXSTlJuFoxlE80uoR0VGIhGFxQ7IS6u2EtgEuWH/Cym7op/9Gbw0rNzZ2gK0jt6VuY/WF1XBXu6N/EO9tQ9aLxQ3JztCIAMSdS0dhaYXoKKaj36Kxhp4b4K8RDNyW+l9l2jKsS1qHYc2HwU5lJzoOkTAsbkh2hkb4o6Rch61n00VHMR1r2pYCOBn8NralbENuaS4eacktKbJuLG5IdoI8HBAV5GZdW1NWt3LDyeA1+e3Cb+jo0xGhbqGioxAJxeKGZGlYZAB2JGYir7hcdBTTKMmt7EOxsZKtCE4Gryb1Vir239iPh1s+LDoKkXAsbkiWhkb4o0Knw6aTVrJ6Yy038NNjz001v1/4Hc62zrgv5D7RUYiEY3FDsuTrYo9eLbzw+9FroqOYhrWMXtBjz00VFboKrL24Fg+EPsAhmURgcUMy9lCHQBxIzsbVnCLRURqftUwE1+Nk8Cp2X9uNjOIMNhIT/YXFDcnWoLZ+0NiqsPaYFYxjKM4B7F1FpzAd/baUJIlOYhZ+O/8bwj3D0cazjegoRGaBxQ3JlqPaBoPa+uL3o9cgyf2bYHGu9a3cSFqgrEB0EuFuFNzAzms78WirR0VHITIbLG5I1h7sEIiLGQU4fT1fdJTGVZxjfT03AJuKAaw6vwoONg4Y0myI6ChEZoPFDcnaPS284OWkxuoEmTcWW8tEcD1OBgcAlGvL8duF3zC8+XA42DqIjkNkNljckKzZqJQYHhmAdcevo0KrEx2ncUiSdW5LAVa/chN7JRbZJdkYGTZSdBQis8LihmTv4Y6ByCooxe6LWaKjNI7SW5X9J9a4LWXll4OvTFyJrn5deUdiov/B4oZkr22AC1r4OMn3njfWNBFcz94VgMKqt6USsxORkJHAVRuiGrC4IdlTKBR4qEMgtpxOQ4EcJ4Vb21wpAFCqAHsXq96W+iXxF3hrvHFv8L2ioxCZHRY3ZBUe7BCIknKZjmMwTAS3opUboPL9Wum2VEFZAf649AcebfUobJW2ouMQmR0WN2QVAt006NXCE6uOXBUdxfj0qxfW1HMDVK5UWenKzR+X/kCZtox3JCa6DRY3ZDUe7xyEg8nZSM4qFB3FuEpyASgAtRXdoRiw2sngkiRh5bmV6B/cH76OvqLjEJklFjdkNQa19YOzvQ1+PZIqOopx6UcvKK3sj7PG3SpXbg6nH0ZSXhIbiYnuwMr+NiRrZm+rwoioAPx65Cq0OhmNY7C2ieB6VjoZ/MczPyLUNRRd/bqKjkJktljckFV5vHMQ0vNLsfNCpugoxlOcY33NxIBVrtyk3krF9tTteCr8KSgUCtFxiMwWixuyKu0DXdHazxmrDstoa8raRi/oadyA4jzRKUxqxbkVcFG7YGjoUNFRiMwaixuyKgqFAo93DkLsmXRkF5aJjmMc1jZ6QU/jDpTmATqt6CQmUVBWgNUXVuOxVo9BY6MRHYfIrLG4IavzYIdAAMAaudyx2NomgusZRjBYx+rN2qS1KK0oZSMxUS2wuCGr4+Foh4HhvvjlcCokSQaNxSW51rtyA1hF341Wp8Xys8sxMGQg/Bz9RMchMnssbsgqPdY5COfSbuHUtXzRURquONd6e24Aq7jXzc6rO5F6KxVPt3ladBQii8DihqxSn5be8HOxx8+HUkRHaRhtBVCab+XbUvJfufnx7I+I9I5Ee+/2oqMQWQQWN2SVVEoFHu8ShDVHr1n2ME19v4lVb0vlCo3R2BKzE3Ew7SCeCn9KdBQii8HihqzWE12CUFyuxbpj10VHqT/9TeyscVvKzhFQ2si+5+aHMz/A18EXA4IHiI5CZDFY3JDVCnDToH9rXyw/cMVyG4utdSI4ACgUsp8MnlaYhg3JG/B0+NOc/k1UByxuyKqN7h6M09fzcfyqhV5ObK0TwfXs3WS9LfXjmR+hUWnwaKtHRUchsigsbsiq9WnpjSbuGizff0V0lPrRr1pY48oN8NcIhlzRKRpFflk+Vp1fhZGtR8LR1lF0HCKLwuKGrJpKqcCorsH448R15BWVi45Td8U5gNIWsHUQnUQMjZtse25+SfwFFboKjG4zWnQUIovD4oas3uOdg1ChlfBbwlXRUepOPxHcWocoynQyeKm2FMvPLsfwFsPhpfESHYfI4rC4Iavn7azGoHZ+ltlYbK0TwfVkOhn8j6Q/cLP4JsaGjxUdhcgisbghAjC6WzCSMgtxIDlbdJS6sdaJ4HoaN9n13Gh1Wnx/+nsMCB6AENcQ0XGILBKLGyIAPUI9EertiB/2WVhjMVduZLdyE58aj8v5lzG+3XjRUYgsllkUNwsWLEBISAjs7e3RrVs3HDx48LbHLlq0CL1794a7uzvc3d0RHR19x+OJakOhUGBsjxBsPp2G67nFouPUnr7nxlrZuwEVxUBFqegkRiFJEhafWozOvp0R4R0hOg6RxRJe3KxcuRIxMTGYMWMGEhISEBkZiUGDBiEjI6PG4+Pj4zFq1Chs374d+/btQ1BQEO677z5cu3bNxMlJbh7p1AQOtir8YEmXhVvrRHA9mY1g2Hd9H05mncSz7Z8VHYXIoikkwR2U3bp1Q5cuXTB//nwAgE6nQ1BQEF566SW8+eabd32+VquFu7s75s+fjzFjxtz1+Pz8fLi6uiIvLw8uLi63PU6n00Gr1db+jZDRqFQqKJVi6u4P/jiD1UevYt+bA6CxUwnJUCeftAY6jgXunSY6iRgp+4Elg4AXDwA+rUWnaRBJkjBu8ziU68qx/IHlUFjrFXBERmAj8uRlZWU4cuQIpk37+y9mpVKJ6Oho7Nu3r1avUVRUhPLycnh4eNT49dLSUpSW/r1knZ+ff8fXkyQJeXl5KCoqqtX5qXE4ODjA1dXV5H/Bj+sZgu/2JmPtsWt4omuwSc9dL8W5XLkBZHE5+OH0w0jISMD8/vNZ2BA1kNDiJisrC1qtFr6+vlUe9/X1xblz52r1GlOnTkVAQACio6Nr/Prs2bPx/vvv1zqTvrBxcXGBnZ0d/5IxMUmSUFZWZihC3dzcTHr+YE8HDGjti+/2XMbILkHm/fmXl1T2m1h7zw0gi6bihccXoo1HG/Rp0kd0FCKLJ7S4aag5c+bg559/Rnx8POzt7Ws8Ztq0aYiJiTH8PD8/H0FBQTUeq9PpDIWNk5NTo2Smu7OzswNQ+Vm5uLiYfItqfK8QjP72APYl3UTPFmZ8AzVrngiupy/sLLznJiE9AQfTDuKzfp+Zd0FNZCGEFjdeXl5QqVRIT0+v8nh6ejr8/Pzu+Ny5c+dizpw52Lp1KyIibn9VgVqthlqtrlUefY+N/psriaP/DLRarcmLm57NPRHm64zv9l427+LGMDTTirelbNSVoycsfOXm6xNfo4VbC9wbfK/oKESyIPRqKTs7O3Tq1AlxcXGGx3Q6HeLi4tCjR4/bPu/jjz/GzJkzsXnzZnTu3NnoufgvJ/FEfgYKhQLjeoVg69l0pNw0494r/WqFNW9LARY/guFE5gnsvb4X/4r8F5QK4RewEsmC8D9JMTExWLRoEb7//nucPXsWL7zwAgoLCzF+fOUNrMaMGVOl4fijjz7Cu+++iyVLliAkJARpaWlIS0tDQUGBqLdAMvRgVCBcNbb4bm+y6Ci3Z+0TwfUsfDL41ye+RjPXZhgYPFB0FCLZEF7cjBw5EnPnzsX06dMRFRWFY8eOYfPmzYYm45SUFNy4ccNw/FdffYWysjI8+uij8Pf3N/yYO3euqLdgFvr164dXXnlFdAzZ0Nip8HT3plh5KNV8p4Xrt2KsuecGsOjJ4KeyTmHn1Z2YGDERKqUF3HqAyEKYRUPx5MmTMXny5Bq/Fh8fX+Xnly9fbvxARADG9gzB1zsv4ccDVzDp3hai41RXnAvYOgI2Vt4jpnG32G2pLxK+QHPX5rg/5H7RUYhkRfjKDZG58nJS47FOTfDdnmSUlJvhDR2Lc9hvA1SuXFngys2htEPYd2MfJneYzFUbIiNjcSNDOTk5GDNmDNzd3eHg4ID7778fFy5cAFB5Hxlvb2/8+uuvhuOjoqLg7+9v+Pnu3buhVqt5I0MAz/UOxc3CMqxOMMPxHtY+EVzPAieDS5KEL49+iXDPcAwIHiA6DpHsmMW2lLkrLtMiKdP0DcvNvZ3qNQJg3LhxuHDhAtatWwcXFxdMnToVDzzwAM6cOQNbW1v06dMH8fHxePTRR5GTk4OzZ89Co9Hg3LlzaN26NXbs2IEuXbrAwcGhEd6VZQnxcsT97fywaNcljOwSBJXSjK6ks/aJ4HoW2HOz69ouHM04iq+iv+LVmUSNgMVNLSRlFmDol7tNft71L92DdoGudXqOvqjZs2cPevbsCQBYvnw5goKCsGbNGjz22GPo168fvv76awDAzp070aFDB/j5+SE+Ph6tW7dGfHw8+vbta/T3Y6n+1ac5RizYg9gzaRjczv/uTzAVa58Irqe/FFySAAsoFHSSDvOPzkdHn47oFdBLdBwiWWJxUwvNvZ2w/qV7hJy3rs6ePQsbGxt069bN8JinpyfCwsJw9uxZAEDfvn0xZcoUZGZmYseOHejXr5+huHnmmWewd+9evPHGG0Z7H5YuMsgN3UM98NWOSxjU1s98/qVdkgt4h4lOIZ7GHdBVAGWFgNr87yy+9cpWnM0+i6WDl5rP7yUimWFxUwsaO1WdV1DMWfv27eHh4YEdO3Zgx44d+PDDD+Hn54ePPvoIhw4dQnl5uWHVhyr9q29zjP/uEPZfykaP5p6i41QqzmHPDfCPEQw5Zl/cVOgqsODYAvQK6IVOvp1ExyGSLTYUy0ybNm1QUVGBAwcOGB67efMmEhMTER4eDqDyDry9e/fG2rVrcfr0adxzzz2IiIhAaWkpvv76a3Tu3BmOjo6i3oJZ6tfKG+H+Lpi//YLoKH+z9ongehY0GXzNxTW4lHcJL3V8SXQUIlljcSMzLVu2xIgRI/Dcc89h9+7dOH78OJ566ikEBgZixIgRhuP69euHFStWICoqCk5OTlAqlejTpw+WL1/OfpsaKBQKvDygBfZcvInDl7NFx6nsL+Gl4JUsZDJ4UXkR5h+djyGhQ9DWs63oOESyxuJGhr777jt06tQJQ4cORY8ePSBJEjZu3AhbW1vDMX379oVWq0W/fv0Mj/Xr16/aY/S3+8L9EObrjC+2XRQdBSgrACQtV26Av38NzPxy8KWnl+JW2S283OFl0VGIZI89NzLxzzs5u7u7Y9myZXc8PioqCpIkVXnslVde4QiHO1AqFXhpQAtM/ukojqbkoEOwwMKCoxf+Zv9XP5wZr9xkFGVg6emleCr8KQQ4BYiOQyR7XLkhqoP72/mjhY8TvhS9esOJ4H9TqgC1q1n33Cw4tgBqlRrPtn9WdBQiq8DihqgOVEoFXurfAtvOZeDk1TxxQfSrFNyWqmTGN/I7n3Meay6uwQuRL8DZzll0HCKrwOKGqI6GRgQg1MsRX2wTeOWUfpWC21KVzHgEw7wj8xDkHITHwh4THYXIarC4IaojlVKBSfe2QOyZdJy4mismRHEuAMXf/SbWzkwng++8uhN7ru3Bqx1fha3S9u5PICKjYHFDVA8PdghECx8n/HdLopgAxTmAvUtlvwmZ5WTwMm0ZPjr4Ebr7d0f/4P6i4xBZFRY3RPWgUirw2n2tsOtCFvYmZZk+QEku+23+SeNudttSy84sw/WC65jWdRrHLBCZGIsbonoa1NYPkU1c8fHmxGqX1Tc6jl6oyswaitMK0/DNiW/wZJsnEeoWKjoOkdVhcUNUTwqFAm8Mbo1jqbmIPZNu2pNzInhV+sngZuKTw5/AwcYBL0S+IDoKkVVicUPUAL1aeKFXC0/M/TMRWp0JV2+Kc7gt9U8ad6AkD9BpRSfBobRD2Hx5M17t9Cqc7Mx7kCeRXLG4ISFCQkLw2WefiY5hFK8Pao3z6QVYc/Sa6U5aksttqX/Sr2KVCLz3EIBybTlmHZiFCO8IDGs+TGgWImvG4oaogaKC3DCorS/mxZ5HSbmJVg44EbwqM5kM/t3p75Ccl4zp3adDqeBfr0Si8E8f1aisrEx0BIsydXBrpOeXYPHuZNOckD03VZnBZPDLeZfx9fGvMabtGIR5hAnLQUQsbmSjX79+ePnll/HGG2/Aw8MDfn5+eO+99wxfT0lJwYgRI+Dk5AQXFxc8/vjjSE//uwn2vffeQ1RUFL799ls0a9YM9vb2ACqbZr/++msMHToUDg4OaNOmDfbt24eLFy+iX79+cHR0RM+ePZGUlGR4raSkJIwYMQK+vr5wcnJCly5dsHXrVpP9WogQ6u2EsT1D8H/bLyIjv6RxT6bTAqV5XLn5J8GTwSVJwsz9M+Ht4M0mYiIzwKngtVFWBGSdN/15vVoBdg61Pvz7779HTEwMDhw4gH379mHcuHHo1asXBgwYYChsduzYgYqKCkyaNAkjR46sMk384sWL+O2337B69WqoVH/fHG7mzJmYN28e5s2bh6lTp+LJJ59EaGgopk2bhuDgYEyYMAGTJ0/Gpk2bAAAFBQV44IEH8OGHH0KtVmPZsmUYNmwYEhMTERwcbLRfHnPzcv+WWJ1wFXP/TMTHj0Y23on0fSXsufmbfhVL0MrN2qS1OJh2EF9Hfw2NjUZIBiL6G4ub2sg6D3zT1/TnnbgDCIiq9eERERGYMWMGAKBly5aYP38+4uLiAAAnT55EcnIygoKCAADLli1D27ZtcejQIXTp0gVA5VbUsmXL4O3tXeV1x48fj8cffxwAMHXqVPTo0QPvvvsuBg0aBACYMmUKxo8fbzg+MjISkZF/f3OfOXMmfv/9d6xbtw6TJ0+u4y+C5XB1sMUr0a3w3h+nMaZHCNoFNtJoBA7NrM7OCVDaCOm5yS7JxtzDczEkdAh6BvY0+fmJqDoWN7Xh1aqy0BBx3jqIiIio8nN/f39kZGTg7NmzCAoKMhQ2ABAeHg43NzecPXvWUNw0bdq0WmHzv6/r6+sLAGjfvn2Vx0pKSpCfnw8XFxcUFBTgvffew4YNG3Djxg1UVFSguLgYKSkpdXo/lujJbsFYtu8yZq4/g58ndm+cO9Pqt17Yc/M3hULYCIbZB2YDAF7v/LrJz01ENWNxUxt2DnVaQRHF1rbqYD6FQgGdTlfr5zs6Ot71dfXfrGt6TH+u1157DbGxsZg7dy5atGgBjUaDRx991CqalG1VSrwzNBzjvzuEjSfTMCTC3/gnKfnrGzi3paoSMBl88+XN2Hx5Mz7q/RE8NZ4mPTcR3R4biq1AmzZtkJqaitTUVMNjZ86cQW5uLsLDw41+vj179mDcuHF46KGH0L59e/j5+eHy5ctGP4+5ujfMB9FtfDBz/RkUlFYY/wSGlRtuS1Vh4sngWcVZ+HD/hxjYdCDub3a/yc5LRHfH4sYKREdHo3379hg9ejQSEhJw8OBBjBkzBn379kXnzp2Nfr6WLVti9erVOHbsGI4fP44nn3yyTitIcjBjWFvkFpfhs9hGaEQvzqnsL7GreaXNatm7mWzlRpIkvL/vfSgVSrzT/R0OxiQyMyxurIBCocDatWvh7u6OPn36IDo6GqGhoVi5cmWjnG/evHlwd3dHz549MWzYMAwaNAgdO3ZslHOZqyAPB7w8oCW+23sZZ2/kG/fF9RPB+Q21KhNOBv/j0h+IT43H9B7T4WHvYZJzElHtKSSTjzMWKz8/H66ursjLy4OLi0uVr5WXlyMzMxPe3t7V+lfItOTwWZRV6DDki11wtrfBr8/3hFJppGJky9vA+S3AS4eN83pysfF14PIe4MW9jXqatMI0PLz2YfQN6ovZvWc36rmIqH64ckPUSOxslJj5YDskpOTil8Opd39CbXH0Qs1M0HNToavA1J1T4WjniDe7vtmo5yKi+mNxQ9SIuod64pGOTTBr41mkG+vOxcU5vAy8Jia4FHzRiUU4lnkMc3rPgau6ke5jREQNxuKGqJG9O7QN7GxUePv3kzDKLrC+54aq0rgD5UVARWmjvPzhtMNYeGIhno98Hp18OzXKOYjIOFjcEDUyNwc7fPhQO2w9m4G1x643/AWLc3iPm5oYRjDkGv2lc0ty8eauN9HBpwMmtp9o9NcnIuNicUNkAoPa+mFYZADe++M0Mm41cHuKE8Frpi/4jNx3o5N0eHfvuyjRlmBO7zlQKVV3fxIRCcXihshE3h/eFiqFAu/8fqph21PclqpZI00G//bkt4hPjcese2bBz9HPqK9NRI2DxQ2RiXg4Vm5P/XkmHasOX63fi1SUVvaVcFuqukaYDL772m7MPzofL0a+iD5N+hjtdYmocbG4ITKhwe38MbJzEGasO42kzIK6vwBHL9yekbelUm+lYurOqejdpDf+Ffkvo7wmEZkGixsiE5s+LBz+rvaY8vNRlFXUcSyFflWCPTfV2doDNhqjrNwUVxTj1e2vwlXtiln3zIJSwb8qiSwJ/8TKRL9+/fDKK6/c9usKhQJr1qyp9evFx8dDoVAgNze3wdmoKke1DT5/ogMS027hkz8T6/Zk/aoEV25qZoQRDDpJh2m7piHlVgo+7fcp72dDZIFsRAcg07hx4wbc3fkN0Vy0b+KK1weFYdbGc+ge6ol7W/vU7on6VQn23NRM49bglZtPj3yK7anb8fm9nyPMI8w4uYjIpLhyYyX8/PygVqtFx6B/ePaeUAxo7YMpPx9Fys2i2j3J0HPj1lixLJu9W4N6bladX4Wlp5fi9c6vo19QP2OlIiITY3EjIzqdDm+88QY8PDzg5+eH9957z/C1/92W2rt3L6KiomBvb4/OnTtjzZo1UCgUOHbsWJXXPHLkCDp37gwHBwf07NkTiYl13Eah21IqFZg3Mgrujnb4149HUFymvfuTSnIBWwfAhoVqjRqwLbX32l58uP9DPBH2BEa3GW3cXERkUtyWqoXiimIk5yWb/LzNXJtBY6Op9fHff/89YmJicODAAezbtw/jxo1Dr169MHDgwCrH5efnY9iwYXjggQfw008/4cqVK7ft13n77bfxySefwNvbG88//zwmTJiAPXv2NORt0T+4amzx9dOd8NCCvXjr95OY93gkFIo7TA/n3YnvTOMGZF2o89NOZJ7AK/GvoGdAT0ztOvXOnwERmT0WN7WQnJeMketHmvy8K4euRLhneK2Pj4iIwIwZMwAALVu2xPz58xEXF1etuPnpp5+gUCiwaNEi2NvbIzw8HNeuXcNzzz1X7TU//PBD9O3bFwDw5ptvYsiQISgpKYG9vX0D3hn9U2s/F8x5pD2m/HwM7QJd8cw9zW5/MCeC31k9JoNfyLmAF7a+gNYerTG371zYKPnXIpGl45/iWmjm2gwrh64Uct66iIiIqPJzf39/ZGRkVDsuMTERERERVQqUrl273vU1/f39AQAZGRkIDg6uUza6sxFRgThzIx//2XAGQe4a3Nf2NnfC5UTwO6vjZPDU/FRMjJ2IAKcAzB8wHw62Do2XjYhMhsVNLWhsNHVaQRHF1ta2ys8VCgV0ujreR+UOr6lfqm/oa1LNpg5qjdTsIrz881GsnNgDkUFu1Q/i6IU707hVrm5JEnCXraVrBdfwXOxzcLJ1wsLohXCxczFJRCJqfGwotkJhYWE4efIkSktLDY8dOnRIYCIC/mowfjwKbfxd8Mz3h5GaXcMVVOy5uTONO6ArB8oK73hYan4qxm8eDwUU+GbgN/DUeJooIBGZAosbK/Tkk09Cp9Nh4sSJOHv2LLZs2YK5c+cCABspBbO3VeHbMZ3hqFbhqcUHkJ7/PxPEORH8zvS/Nnfou0nOS8a4zeOgVqmxdPBS+Dv5myQaEZkOixsr5OLigj/++APHjh1DVFQU3n77bUyfPh0A2ChsBjyd1PjxmW4oq9Bh9LcHcLPg7xW2ym0pN1HRzJ/9nSeDJ2YnYsKWCXC2c8Z3g7+Dr6Ov6bIRkcmw50Ym4uPjqz32z/vaSJJU5Ws9e/bE8ePHDT9fvnw5bG1tDY3C/fr1q/acqKioao9R4wjycMDyZ7vh8a/34+nFB7Hiue5w1dhwW+pu7jAZfO/1vYiJj0GwczC+iv6KW1FEMsaVGyu1bNky7N69G8nJyVizZg2mTp2Kxx9/HBpN7e+rQ40r1NsJy5/thut5xRi1aD8ys7MBXQUbiu9E/2vzP9tSay+uxaStk9DBpwOWDl7KwoZI5ljcWKm0tDQ89dRTaNOmDV599VU89thj+Oabb0THov8R5ueMlRN7IKugFJMXb6t8kNtSt2f/15DLv1ZutDotvkj4Au/seQcjWozAl/2/5OXeRFaA21JW6o033sAbb7whOgbVQpifM1Y93wMzFv0MAEgtViNIcCazpVQBalegOBd5pXmYumsq9l3fh1c6voIJ7SawYZ7ISnDlhsgCNPV0xLyhTQEA//r1EuITq9+ckf6iccXpvEsYuX4kTmWdwlfRX+GZ9s+wsCGyIixuasCmWfH4GVTnoay8703z4CaYsPQQFu9O5q/T/9DqtPjWyR5PZW6Dq9oVK4euRM+AnqJjEZGJsbj5B5VKBQAoKysTnIT0n4H+MyEY+kg+G9sXz/YOxcz1ZzD5p6PIKy4XHMw8pN5KxYQtE/CFbQnG2fjix/t/RKBToOhYRCQAe27+QalUwsHBAfn5+QAAOzs7LmWbmCRJKCsrQ35+PhwcHKBUsv42KMkF1K5Q2djgrQfaICrIDVN/O4EHPt+FL0Z1QKem1nkVVZm2DEtPL8U3J76Bp70nlti1ROdyHaCyvfuTiUiWWNz8D1fXyqst9AUOieHg4GD4LOgv/3N34gfa+6N9oCum/HwUjy3ci7E9Q/Dv+8LgpLaOP9aSJGHXtV2Ye3guUvNT8XTbp/F8xPNw2DwNuHH87i9ARLJlHX8L1oFCoYCbmxtcXFyg1WpFx7FKKpWKKzY1qWEieJCHA375Vw98t+cy5sWex+ZTaXhnSDgeaO8n61XHhPQEfJ7wORIyEtDJtxPm9p2LVu6tKr9Yx8ngRCQ/LG5uQ6lU8hssmZfbTAS3USnxXJ9QDG7nh/fWncaknxIQ0cQVrw8Kwz0tvGRT5OgkHXZe3YllZ5bhUNohhLmH4f8G/B/uCbyn6nvUuN92/AIRWQez+O69YMEChISEwN7eHt26dcPBgwfvePyqVavQunVr2Nvbo3379ti4caOJkhIJdJfRC0EeDlg8rgt+ntgdNkoFnl58EA8u2IPfj15FaYXlrkKmFaZhyaklGL5mOF7a9hJKtaWY23cufhn2C3o36V29eNO4ASV5gE4nJC8RiSd85WblypWIiYnBwoUL0a1bN3z22WcYNGgQEhMT4ePjU+34vXv3YtSoUZg9ezaGDh2Kn376CQ8++CASEhLQrl07Ae+AyESKcwH3Znc9rHuoJ357oSfiEzOxZE8yXl15HDPXn8Xgdn4YGuGPLiEesFWZxb9raiRJEi7kXsDea3ux89pOHE47DDuVHfoH98eH93yISO/IO7+Axh2ABJTmcVQFkZVSSIJvlNGtWzd06dIF8+fPBwDodDoEBQXhpZdewptvvlnt+JEjR6KwsBDr1683PNa9e3dERUVh4cKFdz1ffn4+XF1dkZeXBxcXF+O9ETNyt49Uwt0/8oa+xl3PcdcvN/D8Jvg1uOvzjZ3x/3oC4cOBfm/W6fUvZRZg3bHr2HI6HdfziuFgp0JUsDsim7gi1MsRIV6O8HC0g4u9LexslNWeX6eMdfx6mbYMNwpv4EbBDSTlJeHMzTM4c/MMskuyYa+yRye/ThgcMhjRwdFwsnO6a57KN7wDWDYcePko4BFau+cQkawIXbkpKyvDkSNHMG3aNMNjSqUS0dHR2LdvX43P2bdvH2JiYqo8NmjQoCoTsP+ptLQUpaWlhp/n5eUBAHp82xkqTf3uoXK3v/Ib/HWZ9EiQkdkDuPR75Y/6cAUc/roA7VgZcOwSgEvGCtdwUoUjdKUBkErDoSsOQVFJU8Qes0UstAC21Pp1WiIFv9hKKP+4EyTwzxKRnNi9dRnOzs537SUUWtxkZWVBq9XC19e3yuO+vr44d+5cjc9JS0ur8fi0tLQaj589ezbef//9ao+f+feFeqYmInN2CQBvIkAkUx/VbudFeM9NY5s2bVqVlZ7c3Fw0bdoUKSkpVncflfz8fAQFBSE1NVW2W3I14fu2rvcNWO975/vm+7YGzs7Odz1GaHHj5eUFlUqF9PT0Ko+np6fDz8+vxuf4+fnV6Xi1Wg21Wl3tcVdXV6v6zfBPLi4uVvne+b6tj7W+d75v62Kt7/tOhF4yYWdnh06dOiEuLs7wmE6nQ1xcHHr06FHjc3r06FHleACIjY297fFERERkXYRvS8XExGDs2LHo3Lkzunbtis8++wyFhYUYP348AGDMmDEIDAzE7NmzAQBTpkxB37598cknn2DIkCH4+eefcfjwYXzzzTci3wYRERGZCeHFzciRI5GZmYnp06cjLS0NUVFR2Lx5s6FpOCUlpcqdgnv27ImffvoJ77zzDt566y20bNkSa9asqfU9btRqNWbMmFHjVpXcWet75/u2rvcNWO975/vm+6ZKwu9zQ0RERGRM5nubUiIiIqJ6YHFDREREssLihoiIiGSFxQ0RERHJitUVNwsWLEBISAjs7e3RrVs3HDx4UHQko5o9eza6dOkCZ2dn+Pj44MEHH0RiYmKVY/r16weFQlHlx/PPPy8osXG899571d5T69atDV8vKSnBpEmT4OnpCScnJzzyyCPVbgZpqUJCQqq9d4VCgUmTJgGQz+e9c+dODBs2DAEBAVAoFNXmyUmShOnTp8Pf3x8ajQbR0dG4cKHqmJXs7GyMHj0aLi4ucHNzwzPPPIOCggITvou6u9P7Li8vx9SpU9G+fXs4OjoiICAAY8aMwfXr16u8Rk2/R+bMmWPid1J3d/vMx40bV+19DR48uMoxcvvMAdT4512hUOC///2v4RhL/cyNxaqKm5UrVyImJgYzZsxAQkICIiMjMWjQIGRkZIiOZjQ7duzApEmTsH//fsTGxqK8vBz33XcfCgsLqxz33HPP4caNG4YfH3/8saDExtO2bdsq72n37t2Gr7366qv4448/sGrVKuzYsQPXr1/Hww8/LDCt8Rw6dKjK+46NjQUAPPbYY4Zj5PB5FxYWIjIyEgsWLKjx6x9//DG++OILLFy4EAcOHICjoyMGDRqEkpISwzGjR4/G6dOnERsbi/Xr12Pnzp2YOHGiqd5CvdzpfRcVFSEhIQHvvvsuEhISsHr1aiQmJmL48OHVjv3ggw+q/B546aWXTBG/Qe72mQPA4MGDq7yvFStWVPm63D5zAFXe740bN7BkyRIoFAo88sgjVY6zxM/caCQr0rVrV2nSpEmGn2u1WikgIECaPXu2wFSNKyMjQwIg7dixw/BY3759pSlTpogL1QhmzJghRUZG1vi13NxcydbWVlq1apXhsbNnz0oApH379pkooelMmTJFat68uaTT6SRJkufnDUD6/fffDT/X6XSSn5+f9N///tfwWG5urqRWq6UVK1ZIkiRJZ86ckQBIhw4dMhyzadMmSaFQSNeuXTNZ9ob43/ddk4MHD0oApCtXrhgea9q0qfTpp582brhGVtN7Hzt2rDRixIjbPsdaPvMRI0ZI/fv3r/KYHD7zhrCalZuysjIcOXIE0dHRhseUSiWio6Oxb98+gckaV15eHgDAw8OjyuPLly+Hl5cX2rVrh2nTpqGoqEhEPKO6cOECAgICEBoaitGjRyMlJQUAcOTIEZSXl1f57Fu3bo3g4GDZffZlZWX48ccfMWHCBCgUCsPjcvy8/yk5ORlpaWlVPmNXV1d069bN8Bnv27cPbm5u6Ny5s+GY6OhoKJVKHDhwwOSZG0teXh4UCgXc3NyqPD5nzhx4enqiQ4cO+O9//4uKigoxAY0sPj4ePj4+CAsLwwsvvICbN28avmYNn3l6ejo2bNiAZ555ptrX5PqZ14bwOxSbSlZWFrRareHOx3q+vr44d+6coFSNS6fT4ZVXXkGvXr2q3MH5ySefRNOmTREQEIATJ05g6tSpSExMxOrVqwWmbZhu3bph6dKlCAsLw40bN/D++++jd+/eOHXqFNLS0mBnZ1ftL3tfX1+kpaWJCdxI1qxZg9zcXIwbN87wmBw/7/+l/xxr+vOt/1paWhp8fHyqfN3GxgYeHh6y+X1QUlKCqVOnYtSoUVUGKb788svo2LEjPDw8sHfvXkybNg03btzAvHnzBKZtuMGDB+Phhx9Gs2bNkJSUhLfeegv3338/9u3bB5VKZRWf+ffffw9nZ+dq2+xy/cxry2qKG2s0adIknDp1qkrvCYAq+83t27eHv78/BgwYgKSkJDRv3tzUMY3i/vvvN/x/REQEunXrhqZNm+KXX36BRqMRmMy0Fi9ejPvvvx8BAQGGx+T4eVN15eXlePzxxyFJEr766qsqX4uJiTH8f0REBOzs7PCvf/0Ls2fPtuhb9z/xxBOG/2/fvj0iIiLQvHlzxMfHY8CAAQKTmc6SJUswevRo2NvbV3lcrp95bVnNtpSXlxdUKlW1K2TS09Ph5+cnKFXjmTx5MtavX4/t27ejSZMmdzy2W7duAICLFy+aIppJuLm5oVWrVrh48SL8/PxQVlaG3NzcKsfI7bO/cuUKtm7dimefffaOx8nx89Z/jnf68+3n51ft4oGKigpkZ2db/O8DfWFz5coVxMbGVlm1qUm3bt1QUVGBy5cvmyagiYSGhsLLy8vwe1vOnzkA7Nq1C4mJiXf9Mw/I9zO/Haspbuzs7NCpUyfExcUZHtPpdIiLi0OPHj0EJjMuSZIwefJk/P7779i2bRuaNWt21+ccO3YMAODv79/I6UynoKAASUlJ8Pf3R6dOnWBra1vls09MTERKSoqsPvvvvvsOPj4+GDJkyB2Pk+Pn3axZM/j5+VX5jPPz83HgwAHDZ9yjRw/k5ubiyJEjhmO2bdsGnU5nKPgskb6wuXDhArZu3QpPT8+7PufYsWNQKpXVtmws3dWrV3Hz5k3D7225fuZ6ixcvRqdOnRAZGXnXY+X6md+W6I5mU/r5558ltVotLV26VDpz5ow0ceJEyc3NTUpLSxMdzWheeOEFydXVVYqPj5du3Lhh+FFUVCRJkiRdvHhR+uCDD6TDhw9LycnJ0tq1a6XQ0FCpT58+gpM3zL///W8pPj5eSk5Olvbs2SNFR0dLXl5eUkZGhiRJkvT8889LwcHB0rZt26TDhw9LPXr0kHr06CE4tfFotVopODhYmjp1apXH5fR537p1Szp69Kh09OhRCYA0b9486ejRo4argubMmSO5ublJa9eulU6cOCGNGDFCatasmVRcXGx4jcGDB0sdOnSQDhw4IO3evVtq2bKlNGrUKFFvqVbu9L7Lysqk4cOHS02aNJGOHTtW5c98aWmpJEmStHfvXunTTz+Vjh07JiUlJUk//vij5O3tLY0ZM0bwO7u7O733W7duSa+99pq0b98+KTk5Wdq6davUsWNHqWXLllJJSYnhNeT2mevl5eVJDg4O0ldffVXt+Zb8mRuLVRU3kiRJX375pRQcHCzZ2dlJXbt2lfbv3y86klEBqPHHd999J0mSJKWkpEh9+vSRPDw8JLVaLbVo0UJ6/fXXpby8PLHBG2jkyJGSv7+/ZGdnJwUGBkojR46ULl68aPh6cXGx9OKLL0ru7u6Sg4OD9NBDD0k3btwQmNi4tmzZIgGQEhMTqzwup897+/btNf7eHjt2rCRJlZeDv/vuu5Kvr6+kVqulAQMGVPv1uHnzpjRq1CjJyclJcnFxkcaPHy/dunVLwLupvTu97+Tk5Nv+md++fbskSZJ05MgRqVu3bpKrq6tkb28vtWnTRpo1a1aVAsBc3em9FxUVSffdd5/k7e0t2draSk2bNpWee+65av9Yldtnrvf1119LGo1Gys3NrfZ8S/7MjUUhSZLUqEtDRERERCZkNT03REREZB1Y3BAREZGssLghIiIiWWFxQ0RERLLC4oaIiIhkhcUNERERyQqLGyIiIpIVFjdEREQkKyxuiMhshISE4LPPPhMdg4gsHIsbIiIikhUWN0RERCQrLG6IyGRu3bqF0aNHw9HREf7+/vj000/Rr18/vPLKK9WOvXz5MhQKBY4dO2Z4LDc3FwqFAvHx8YbHTp8+jaFDh8LFxQXOzs7o3bs3kpKSAAA6nQ4ffPABmjRpArVajaioKGzevNnw3LKyMkyePBn+/v6wt7dH06ZNMXv27Crne/bZZ+Ht7Q0XFxf0798fx48fN/qvCxEZF4sbIjKZmJgY7NmzB+vWrUNsbCx27dqFhISEer/etWvX0KdPH6jVamzbtg1HjhzBhAkTUFFRAQD4/PPP8cknn2Du3Lk4ceIEBg0ahOHDh+PChQsAgC+++ALr1q3DL7/8gsTERCxfvhwhISGG13/ssceQkZGBTZs24ciRI+jYsSMGDBiA7OzsBv06EFHjshEdgIisw61bt/D999/jp59+woABAwAA3333HQICAur9mgsWLICrqyt+/vln2NraAgBatWpl+PrcuXMxdepUPPHEEwCAjz76CNu3b8dnn32GBQsWICUlBS1btsQ999wDhUKBpk2bGp67e/duHDx4EBkZGVCr1YbXW7NmDX799VdMnDix3rmJqHFx5YaITOLSpUsoLy9H165dDY+5uroiLCys3q957Ngx9O7d21DY/FN+fj6uX7+OXr16VXm8V69eOHv2LABg3LhxOHbsGMLCwvDyyy/jzz//NBx3/PhxFBQUwNPTE05OToYfycnJhm0vIjJPXLkhIrOkVFb+20uSJMNj5eXlVY7RaDQNOkfHjh2RnJyMTZs2YevWrXj88ccRHR2NX3/9FQUFBfD396/S36Pn5ubWoPMSUePiyg0RmURoaChsbW1x6NAhw2N5eXk4f/58jcd7e3sDAG7cuGF47J/NxQAQERGBXbt2VSt6AMDFxQUBAQHYs2dPlcf37NmD8PDwKseNHDkSixYtwsqVK/Hbb78hOzsbHTt2RFpaGmxsbNCiRYsqP7y8vOr8/onIdLhyQ0Qm4ezsjLFjx+L111+Hh4cHfHx8MGPGDCiVSigUimrHazQadO/eHXPmzEGzZs2QkZGBd955p8oxkydPxpdffoknnngC06ZNg6urK/bv34+uXbsiLCwMr7/+OmbMmIHmzZsjKioK3333HY4dO4bly5cDAObNmwd/f3906NABSqUSq1atgp+fH9zc3BAdHY0ePXrgwQcfxMcff4xWrVrh+vXr2LBhAx566CF07tzZJL9uRFR3LG6IyGTmzZuH559/3nDp9htvvIHU1FTY29vXePySJUvwzDPPoFOnTggLC8PHH3+M++67z/B1T09PbNu2Da+//jr69u0LlUqFqKgoQ5/Nyy+/jLy8PPz73/9GRkYGwsPDsW7dOrRs2RJAZcH18ccf48KFC1CpVOjSpQs2btxo2BLbuHEj3n77bYwfPx6ZmZnw8/NDnz594Ovr28i/UkTUEArpnxvaREQmVFhYiMDAQHzyySd45plnRMchIpngyg0RmczRo0dx7tw5dO3aFXl5efjggw8AACNGjBCcjIjkhMUNEZnU3LlzkZiYCDs7O3Tq1Am7du1igy4RGRW3pYiIiEhWeCk4ERERyQqLGyIiIpIVFjdEREQkKyxuiIiISFZY3BAREZGssLghIiIiWWFxQ0RERLLC4oaIiIhk5f8B/82cRMf4P/8AAAAASUVORK5CYII=",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "age[\"young\"] = fuzz.zmf(age.universe, 20, 30)\n",
+ "age[\"middle-aged\"] = fuzz.trapmf(age.universe, [18, 30, 45, 60])\n",
+ "age[\"old\"] = fuzz.smf(age.universe, 45, 85)\n",
+ "age.view()\n",
+ "\n",
+ "\n",
+ "bmi[\"low\"] = fuzz.zmf(bmi.universe, 12, 18)\n",
+ "bmi[\"normal\"] = fuzz.trapmf(bmi.universe, [16, 19, 24, 27])\n",
+ "bmi[\"high\"] = fuzz.smf(bmi.universe, 25, 27)\n",
+ "bmi.view()\n",
+ "\n",
+ "glucose[\"low\"] = fuzz.zmf(glucose.universe, 0, 80)\n",
+ "glucose[\"normal\"] = fuzz.trapmf(glucose.universe, [70, 80, 90, 100])\n",
+ "glucose[\"high\"] = fuzz.smf(glucose.universe, 90, 180)\n",
+ "glucose.view()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "База нечетких правил:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(, )"
+ ]
+ },
+ "execution_count": 16,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import numpy as np\n",
+ "import skfuzzy as fuzz\n",
+ "from skfuzzy import control as ctrl\n",
+ "\n",
+ "rule1 = ctrl.Rule(age[\"young\"] & bmi[\"low\"], glucose[\"low\"])\n",
+ "rule2 = ctrl.Rule(age[\"young\"] & bmi[\"normal\"], glucose[\"normal\"])\n",
+ "rule3 = ctrl.Rule(age[\"young\"] & bmi[\"high\"], glucose[\"normal\"])\n",
+ "\n",
+ "rule4 = ctrl.Rule(age[\"middle-aged\"] & bmi[\"low\"], glucose[\"normal\"])\n",
+ "rule5 = ctrl.Rule(age[\"middle-aged\"] & bmi[\"normal\"], glucose[\"normal\"])\n",
+ "rule6 = ctrl.Rule(age[\"middle-aged\"] & bmi[\"high\"], glucose[\"high\"])\n",
+ "\n",
+ "rule7 = ctrl.Rule(age[\"old\"] & bmi[\"low\"], glucose[\"low\"])\n",
+ "rule8 = ctrl.Rule(age[\"old\"] & bmi[\"normal\"], glucose[\"normal\"])\n",
+ "rule9 = ctrl.Rule(age[\"old\"] & bmi[\"high\"], glucose[\"high\"])\n",
+ "\n",
+ "rule1.view()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Создание нечеткой системы и добавление нечетких правил в базу знаний нечеткой системы"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "d:\\5_semester\\AIM\\rep\\AIM-PIbd-31-Razubaev-S-M\\.venv\\Lib\\site-packages\\skfuzzy\\control\\controlsystem.py:135: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n",
+ " fig.show()\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "glucose_ctrl = ctrl.ControlSystem(\n",
+ " [\n",
+ " rule1,\n",
+ " rule2,\n",
+ " rule3,\n",
+ " rule4,\n",
+ " rule5,\n",
+ " rule6,\n",
+ " rule7,\n",
+ " rule8,\n",
+ " rule9,\n",
+ " ]\n",
+ ")\n",
+ "\n",
+ "glucose_simulation = ctrl.ControlSystemSimulation(glucose_ctrl)\n",
+ "\n",
+ "glucose_ctrl.view()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Проверка расчета выходной переменной"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "=============\n",
+ " Antecedents \n",
+ "=============\n",
+ "Antecedent: age = 31\n",
+ " - young : 0.0\n",
+ " - middle-aged : 1.0\n",
+ " - old : 0.0\n",
+ "Antecedent: bmi = 25\n",
+ " - low : 0.0\n",
+ " - normal : 0.6666666666666666\n",
+ " - high : 0.0\n",
+ "\n",
+ "=======\n",
+ " Rules \n",
+ "=======\n",
+ "RULE #0:\n",
+ " IF age[young] AND bmi[low] THEN glucose[low]\n",
+ "\tAND aggregation function : fmin\n",
+ "\tOR aggregation function : fmax\n",
+ "\n",
+ " Aggregation (IF-clause):\n",
+ " - age[young] : 0.0\n",
+ " - bmi[low] : 0.0\n",
+ " age[young] AND bmi[low] = 0.0\n",
+ " Activation (THEN-clause):\n",
+ " glucose[low] : 0.0\n",
+ "\n",
+ "RULE #1:\n",
+ " IF age[young] AND bmi[normal] THEN glucose[normal]\n",
+ "\tAND aggregation function : fmin\n",
+ "\tOR aggregation function : fmax\n",
+ "\n",
+ " Aggregation (IF-clause):\n",
+ " - age[young] : 0.0\n",
+ " - bmi[normal] : 0.6666666666666666\n",
+ " age[young] AND bmi[normal] = 0.0\n",
+ " Activation (THEN-clause):\n",
+ " glucose[normal] : 0.0\n",
+ "\n",
+ "RULE #2:\n",
+ " IF age[young] AND bmi[high] THEN glucose[normal]\n",
+ "\tAND aggregation function : fmin\n",
+ "\tOR aggregation function : fmax\n",
+ "\n",
+ " Aggregation (IF-clause):\n",
+ " - age[young] : 0.0\n",
+ " - bmi[high] : 0.0\n",
+ " age[young] AND bmi[high] = 0.0\n",
+ " Activation (THEN-clause):\n",
+ " glucose[normal] : 0.0\n",
+ "\n",
+ "RULE #3:\n",
+ " IF age[middle-aged] AND bmi[low] THEN glucose[normal]\n",
+ "\tAND aggregation function : fmin\n",
+ "\tOR aggregation function : fmax\n",
+ "\n",
+ " Aggregation (IF-clause):\n",
+ " - age[middle-aged] : 1.0\n",
+ " - bmi[low] : 0.0\n",
+ " age[middle-aged] AND bmi[low] = 0.0\n",
+ " Activation (THEN-clause):\n",
+ " glucose[normal] : 0.0\n",
+ "\n",
+ "RULE #4:\n",
+ " IF age[middle-aged] AND bmi[normal] THEN glucose[normal]\n",
+ "\tAND aggregation function : fmin\n",
+ "\tOR aggregation function : fmax\n",
+ "\n",
+ " Aggregation (IF-clause):\n",
+ " - age[middle-aged] : 1.0\n",
+ " - bmi[normal] : 0.6666666666666666\n",
+ " age[middle-aged] AND bmi[normal] = 0.6666666666666666\n",
+ " Activation (THEN-clause):\n",
+ " glucose[normal] : 0.6666666666666666\n",
+ "\n",
+ "RULE #5:\n",
+ " IF age[middle-aged] AND bmi[high] THEN glucose[high]\n",
+ "\tAND aggregation function : fmin\n",
+ "\tOR aggregation function : fmax\n",
+ "\n",
+ " Aggregation (IF-clause):\n",
+ " - age[middle-aged] : 1.0\n",
+ " - bmi[high] : 0.0\n",
+ " age[middle-aged] AND bmi[high] = 0.0\n",
+ " Activation (THEN-clause):\n",
+ " glucose[high] : 0.0\n",
+ "\n",
+ "RULE #6:\n",
+ " IF age[old] AND bmi[low] THEN glucose[low]\n",
+ "\tAND aggregation function : fmin\n",
+ "\tOR aggregation function : fmax\n",
+ "\n",
+ " Aggregation (IF-clause):\n",
+ " - age[old] : 0.0\n",
+ " - bmi[low] : 0.0\n",
+ " age[old] AND bmi[low] = 0.0\n",
+ " Activation (THEN-clause):\n",
+ " glucose[low] : 0.0\n",
+ "\n",
+ "RULE #7:\n",
+ " IF age[old] AND bmi[normal] THEN glucose[normal]\n",
+ "\tAND aggregation function : fmin\n",
+ "\tOR aggregation function : fmax\n",
+ "\n",
+ " Aggregation (IF-clause):\n",
+ " - age[old] : 0.0\n",
+ " - bmi[normal] : 0.6666666666666666\n",
+ " age[old] AND bmi[normal] = 0.0\n",
+ " Activation (THEN-clause):\n",
+ " glucose[normal] : 0.0\n",
+ "\n",
+ "RULE #8:\n",
+ " IF age[old] AND bmi[high] THEN glucose[high]\n",
+ "\tAND aggregation function : fmin\n",
+ "\tOR aggregation function : fmax\n",
+ "\n",
+ " Aggregation (IF-clause):\n",
+ " - age[old] : 0.0\n",
+ " - bmi[high] : 0.0\n",
+ " age[old] AND bmi[high] = 0.0\n",
+ " Activation (THEN-clause):\n",
+ " glucose[high] : 0.0\n",
+ "\n",
+ "\n",
+ "==============================\n",
+ " Intermediaries and Conquests \n",
+ "==============================\n",
+ "Consequent: glucose = 85.00000000000001\n",
+ " low:\n",
+ " Accumulate using accumulation_max : 0.0\n",
+ " normal:\n",
+ " Accumulate using accumulation_max : 0.6666666666666666\n",
+ " high:\n",
+ " Accumulate using accumulation_max : 0.0\n",
+ "\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ "np.float64(85.00000000000001)"
+ ]
+ },
+ "execution_count": 19,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "glucose_simulation.input[\"age\"] = 31\n",
+ "glucose_simulation.input[\"bmi\"] = 25\n",
+ "glucose_simulation.compute()\n",
+ "\n",
+ "glucose_simulation.print_state()\n",
+ "glucose_simulation.output[\"glucose\"]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Визуализации функции принадлежности"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "d:\\5_semester\\AIM\\rep\\AIM-PIbd-31-Razubaev-S-M\\.venv\\Lib\\site-packages\\skfuzzy\\control\\fuzzyvariable.py:125: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n",
+ " fig.show()\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "glucose.view(sim=glucose_simulation)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Оценка качества"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " Age | \n",
+ " BMI | \n",
+ " Glucose | \n",
+ " glucose_pred | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " 115 | \n",
+ " 61 | \n",
+ " 31.2 | \n",
+ " 146 | \n",
+ " 156.076444 | \n",
+ "
\n",
+ " \n",
+ " 116 | \n",
+ " 38 | \n",
+ " 34.0 | \n",
+ " 124 | \n",
+ " 164.363268 | \n",
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\n",
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+ " 25 | \n",
+ " 33.7 | \n",
+ " 78 | \n",
+ " 155.611863 | \n",
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\n",
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+ " 22 | \n",
+ " 28.2 | \n",
+ " 97 | \n",
+ " 142.749562 | \n",
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\n",
+ " \n",
+ " 119 | \n",
+ " 21 | \n",
+ " 23.2 | \n",
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+ " 25 | \n",
+ " 53.2 | \n",
+ " 162 | \n",
+ " 155.611863 | \n",
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\n",
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+ " 121 | \n",
+ " 24 | \n",
+ " 34.2 | \n",
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+ " 152.260658 | \n",
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+ " 23 | \n",
+ " 33.6 | \n",
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+ " 123 | \n",
+ " 69 | \n",
+ " 26.8 | \n",
+ " 132 | \n",
+ " 158.239802 | \n",
+ "
\n",
+ " \n",
+ " 124 | \n",
+ " 23 | \n",
+ " 33.3 | \n",
+ " 113 | \n",
+ " 148.066203 | \n",
+ "
\n",
+ " \n",
+ " 125 | \n",
+ " 26 | \n",
+ " 55.0 | \n",
+ " 88 | \n",
+ " 158.305050 | \n",
+ "
\n",
+ " \n",
+ " 126 | \n",
+ " 30 | \n",
+ " 42.9 | \n",
+ " 120 | \n",
+ " 164.363268 | \n",
+ "
\n",
+ " \n",
+ " 127 | \n",
+ " 23 | \n",
+ " 33.3 | \n",
+ " 118 | \n",
+ " 148.066203 | \n",
+ "
\n",
+ " \n",
+ " 128 | \n",
+ " 40 | \n",
+ " 34.5 | \n",
+ " 117 | \n",
+ " 164.363268 | \n",
+ "
\n",
+ " \n",
+ " 129 | \n",
+ " 62 | \n",
+ " 27.9 | \n",
+ " 105 | \n",
+ " 156.763261 | \n",
+ "
\n",
+ " \n",
+ " 130 | \n",
+ " 33 | \n",
+ " 29.7 | \n",
+ " 173 | \n",
+ " 164.363268 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " Age BMI Glucose glucose_pred\n",
+ "115 61 31.2 146 156.076444\n",
+ "116 38 34.0 124 164.363268\n",
+ "117 25 33.7 78 155.611863\n",
+ "118 22 28.2 97 142.749562\n",
+ "119 21 23.2 99 85.000000\n",
+ "120 25 53.2 162 155.611863\n",
+ "121 24 34.2 111 152.260658\n",
+ "122 23 33.6 107 148.066203\n",
+ "123 69 26.8 132 158.239802\n",
+ "124 23 33.3 113 148.066203\n",
+ "125 26 55.0 88 158.305050\n",
+ "126 30 42.9 120 164.363268\n",
+ "127 23 33.3 118 148.066203\n",
+ "128 40 34.5 117 164.363268\n",
+ "129 62 27.9 105 156.763261\n",
+ "130 33 29.7 173 164.363268"
+ ]
+ },
+ "execution_count": 25,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "def fuzzy_pred(row):\n",
+ " glucose_simulation.input[\"age\"] = row[\"Age\"]\n",
+ " glucose_simulation.input[\"bmi\"] = row[\"BMI\"]\n",
+ " glucose_simulation.compute()\n",
+ " return glucose_simulation.output[\"glucose\"]\n",
+ "\n",
+ "result = df.copy()\n",
+ "\n",
+ "result[\"glucose_pred\"] = result.apply(fuzzy_pred, axis=1)\n",
+ "\n",
+ "result.loc[115:130, [\"Age\", \"BMI\", \"Glucose\", \"glucose_pred\"]]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "{'RMSE': 44.436073098835, 'RMAE': 6.078634343122391, 'R2': -0.9341083419845992}"
+ ]
+ },
+ "execution_count": 29,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "import math\n",
+ "from sklearn import metrics\n",
+ "\n",
+ "rmetrics = {}\n",
+ "rmetrics[\"RMSE\"] = math.sqrt(\n",
+ " metrics.mean_squared_error(result[\"Glucose\"], result[\"glucose_pred\"])\n",
+ ")\n",
+ "rmetrics[\"RMAE\"] = math.sqrt(\n",
+ " metrics.mean_absolute_error(result[\"Glucose\"], result[\"glucose_pred\"])\n",
+ ")\n",
+ "rmetrics[\"R2\"] = metrics.r2_score(\n",
+ " result[\"Glucose\"], result[\"glucose_pred\"]\n",
+ ")\n",
+ "rmetrics"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Вывод: данные прогнозируются с низкой точностью и допускается множество ошибок"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": ".venv",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.12.6"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}