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jupyter_gpu/tensorflow/notebooks/leo/LSTM_All_Crypto_02.ipynb
Oleg Sheynin cd5c78d47f .
2024-08-14 01:54:48 +00:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"id": "1023f2c1-e45f-4e1c-9a1b-66f59f128196",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Panda Version: 2.2.2\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"2024-08-13 13:49:15.756217: E external/local_xla/xla/stream_executor/cuda/cuda_fft.cc:485] Unable to register cuFFT factory: Attempting to register factory for plugin cuFFT when one has already been registered\n",
"2024-08-13 13:49:15.773323: E external/local_xla/xla/stream_executor/cuda/cuda_dnn.cc:8454] Unable to register cuDNN factory: Attempting to register factory for plugin cuDNN when one has already been registered\n",
"2024-08-13 13:49:15.778526: E external/local_xla/xla/stream_executor/cuda/cuda_blas.cc:1452] Unable to register cuBLAS factory: Attempting to register factory for plugin cuBLAS when one has already been registered\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Today date is: 2024-08-13\n"
]
}
],
"source": [
"import sqlite3\n",
"\n",
"import os\n",
"import re\n",
"\n",
"import numpy as np\n",
"# It is apparently officially accepted to explicitly\n",
"# list all the functions you need from numpy:\n",
"from numpy import array, zeros, exp, random, dot\n",
"from numpy import shape, reshape, meshgrid, linspace\n",
"from numpy import hstack, vstack\n",
"\n",
"import pandas as pd\n",
"print('Panda Version:', pd.__version__)\n",
"\n",
"# Set ipython's max row display\n",
"pd.set_option('display.max_row', 100, 'display.max_columns', 25)\n",
"\n",
"import matplotlib.pyplot as plt # for plotting\n",
"import matplotlib\n",
"matplotlib.rcParams['figure.dpi'] = 100 # highres display\n",
"\n",
"import tensorflow as tf\n",
"from tensorflow import Variable\n",
"\n",
"from tensorflow.keras import Sequential\n",
"from tensorflow.keras import Model\n",
"from tensorflow.keras.layers import Dense\n",
"from tensorflow.keras.layers import Dropout\n",
"from tensorflow.keras.layers import TimeDistributed, RepeatVector\n",
"\n",
"from keras.optimizers import SGD\n",
"\n",
"from keras.models import load_model\n",
"from keras.callbacks import EarlyStopping\n",
"from keras.callbacks import ModelCheckpoint\n",
"\n",
"from keras.layers import LSTM, Dense, Concatenate\n",
"\n",
"from keras.optimizers import SGD\n",
"\n",
"import collections\n",
"from collections import Counter\n",
"\n",
"import seaborn as sns\n",
"from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
"\n",
"# Import date class from datetime module\n",
"import time\n",
"import datetime\n",
"# import datetime as dt\n",
"from datetime import date\n",
"print(\"Today date is: \", date.today())"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "c09a37a6-f0d9-48e3-a1d1-65ddaf2c489c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"/workspace/leo\n",
"total 15712\n",
"drwxrwxrwx 1 1000 1000 628 Aug 13 13:00 .\n",
"drwxrwxr-x 1 1000 1000 18 Jun 3 23:40 ..\n",
"drwxrwxr-x 1 1000 1000 1500 Aug 10 21:00 2024-06\n",
"drwxrwxr-x 1 1000 1000 1550 Aug 10 21:00 2024-07\n",
"-rw------- 1 1000 1000 1425408 Aug 2 13:01 20240801.mktdata.ohlcv.db\n",
"-rw------- 1 1000 1000 1396736 Aug 3 13:01 20240802.mktdata.ohlcv.db\n",
"-rw------- 1 1000 1000 1384448 Aug 4 13:01 20240803.mktdata.ohlcv.db\n",
"-rw------- 1 1000 1000 1318912 Aug 6 02:54 20240804.mktdata.ohlcv.db\n",
"-rw------- 1 1000 1000 2269184 Aug 10 17:04 20240805.mktdata.ohlcv.db\n",
"-rw------- 1 1000 1000 1146880 Aug 10 20:59 20240806.mktdata.ohlcv.db\n",
"-rw------- 1 1000 1000 1363968 Aug 8 13:01 20240807.mktdata.ohlcv.db\n",
"-rw------- 1 1000 1000 1187840 Aug 10 17:09 20240808.mktdata.ohlcv.db\n",
"-rw------- 1 1000 1000 1028096 Aug 10 17:10 20240809.mktdata.ohlcv.db\n",
"-rw------- 1 1000 1000 1187840 Aug 11 13:00 20240810.mktdata.ohlcv.db\n",
"-rw------- 1 1000 1000 1187840 Aug 12 13:00 20240811.mktdata.ohlcv.db\n",
"-rw------- 1 1000 1000 1191936 Aug 13 13:00 20240812.mktdata.ohlcv.db\n"
]
}
],
"source": [
"!pwd\n",
"\n",
"!ls -la /workspace/data/crypto_md/"
]
},
{
"cell_type": "code",
"execution_count": 82,
"id": "8d72d849-e8df-4564-a006-03ab646b9330",
"metadata": {},
"outputs": [],
"source": [
"# db_conn = sqlite3.connect(mktdata_db_file)\n",
"# tables_df = pd.read_sql_query(\"select * from sqlite_master where type = 'table'\", db_conn)\n",
"# print (tables_df_20240601.head())"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "4df4b0d4-e92e-42a9-8747-ff60669a4e10",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 4,
"id": "5d2aed0b-8c9d-4f5a-9166-785da4811390",
"metadata": {},
"outputs": [
{
"ename": "DatabaseError",
"evalue": "Execution failed on sql 'select * from coinbase_ohlcv_1min': no such table: coinbase_ohlcv_1min",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mOperationalError\u001b[0m Traceback (most recent call last)",
"File \u001b[0;32m/usr/local/lib/python3.11/dist-packages/pandas/io/sql.py:2674\u001b[0m, in \u001b[0;36mSQLiteDatabase.execute\u001b[0;34m(self, sql, params)\u001b[0m\n\u001b[1;32m 2673\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[0;32m-> 2674\u001b[0m \u001b[43mcur\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mexecute\u001b[49m\u001b[43m(\u001b[49m\u001b[43msql\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 2675\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m cur\n",
"\u001b[0;31mOperationalError\u001b[0m: no such table: coinbase_ohlcv_1min",
"\nThe above exception was the direct cause of the following exception:\n",
"\u001b[0;31mDatabaseError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[0;32mIn[4], line 32\u001b[0m\n\u001b[1;32m 29\u001b[0m conn \u001b[38;5;241m=\u001b[39m sqlite3\u001b[38;5;241m.\u001b[39mconnect(filename)\n\u001b[1;32m 31\u001b[0m \u001b[38;5;66;03m# Read the data into a DataFrame\u001b[39;00m\n\u001b[0;32m---> 32\u001b[0m df \u001b[38;5;241m=\u001b[39m \u001b[43mpd\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mread_sql_query\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mselect * from coinbase_ohlcv_1min\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mconn\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 34\u001b[0m df_concat \u001b[38;5;241m=\u001b[39m pd\u001b[38;5;241m.\u001b[39mconcat([df_concat, df], axis \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m0\u001b[39m,ignore_index \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mTrue\u001b[39;00m)\n\u001b[1;32m 35\u001b[0m \u001b[38;5;66;03m# Print the combined DataFrame\u001b[39;00m\n\u001b[1;32m 36\u001b[0m \u001b[38;5;66;03m# print(df_concat.shape[0])\u001b[39;00m\n\u001b[1;32m 37\u001b[0m \u001b[38;5;66;03m# print(df_concat.shape[1])\u001b[39;00m\n",
"File \u001b[0;32m/usr/local/lib/python3.11/dist-packages/pandas/io/sql.py:526\u001b[0m, in \u001b[0;36mread_sql_query\u001b[0;34m(sql, con, index_col, coerce_float, params, parse_dates, chunksize, dtype, dtype_backend)\u001b[0m\n\u001b[1;32m 523\u001b[0m \u001b[38;5;28;01massert\u001b[39;00m dtype_backend \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m lib\u001b[38;5;241m.\u001b[39mno_default\n\u001b[1;32m 525\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m pandasSQL_builder(con) \u001b[38;5;28;01mas\u001b[39;00m pandas_sql:\n\u001b[0;32m--> 526\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mpandas_sql\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mread_query\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 527\u001b[0m \u001b[43m \u001b[49m\u001b[43msql\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 528\u001b[0m \u001b[43m \u001b[49m\u001b[43mindex_col\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mindex_col\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 529\u001b[0m \u001b[43m \u001b[49m\u001b[43mparams\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mparams\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 530\u001b[0m \u001b[43m \u001b[49m\u001b[43mcoerce_float\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mcoerce_float\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 531\u001b[0m \u001b[43m \u001b[49m\u001b[43mparse_dates\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mparse_dates\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 532\u001b[0m \u001b[43m \u001b[49m\u001b[43mchunksize\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mchunksize\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 533\u001b[0m \u001b[43m \u001b[49m\u001b[43mdtype\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mdtype\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 534\u001b[0m \u001b[43m \u001b[49m\u001b[43mdtype_backend\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mdtype_backend\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 535\u001b[0m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m\n",
"File \u001b[0;32m/usr/local/lib/python3.11/dist-packages/pandas/io/sql.py:2738\u001b[0m, in \u001b[0;36mSQLiteDatabase.read_query\u001b[0;34m(self, sql, index_col, coerce_float, parse_dates, params, chunksize, dtype, dtype_backend)\u001b[0m\n\u001b[1;32m 2727\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mread_query\u001b[39m(\n\u001b[1;32m 2728\u001b[0m \u001b[38;5;28mself\u001b[39m,\n\u001b[1;32m 2729\u001b[0m sql,\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 2736\u001b[0m dtype_backend: DtypeBackend \u001b[38;5;241m|\u001b[39m Literal[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mnumpy\u001b[39m\u001b[38;5;124m\"\u001b[39m] \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mnumpy\u001b[39m\u001b[38;5;124m\"\u001b[39m,\n\u001b[1;32m 2737\u001b[0m ) \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m>\u001b[39m DataFrame \u001b[38;5;241m|\u001b[39m Iterator[DataFrame]:\n\u001b[0;32m-> 2738\u001b[0m cursor \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mexecute\u001b[49m\u001b[43m(\u001b[49m\u001b[43msql\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mparams\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 2739\u001b[0m columns \u001b[38;5;241m=\u001b[39m [col_desc[\u001b[38;5;241m0\u001b[39m] \u001b[38;5;28;01mfor\u001b[39;00m col_desc \u001b[38;5;129;01min\u001b[39;00m cursor\u001b[38;5;241m.\u001b[39mdescription]\n\u001b[1;32m 2741\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m chunksize \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n",
"File \u001b[0;32m/usr/local/lib/python3.11/dist-packages/pandas/io/sql.py:2686\u001b[0m, in \u001b[0;36mSQLiteDatabase.execute\u001b[0;34m(self, sql, params)\u001b[0m\n\u001b[1;32m 2683\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m ex \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01minner_exc\u001b[39;00m\n\u001b[1;32m 2685\u001b[0m ex \u001b[38;5;241m=\u001b[39m DatabaseError(\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mExecution failed on sql \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;132;01m{\u001b[39;00msql\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m: \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mexc\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m)\n\u001b[0;32m-> 2686\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m ex \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mexc\u001b[39;00m\n",
"\u001b[0;31mDatabaseError\u001b[0m: Execution failed on sql 'select * from coinbase_ohlcv_1min': no such table: coinbase_ohlcv_1min"
]
}
],
"source": [
"directory = \"/workspace/data/crypto_md\"\n",
"\n",
"# List of dates\n",
"dates = ['20240601', \n",
" '20240602', \n",
" '20240603', \n",
" '20240604', \n",
" '20240605', \n",
" '20240606', \n",
" '20240607', \n",
" '20240608', \n",
" '20240609',\n",
" '20240610',\n",
" '20240611',\n",
" '20240612',\n",
" '20240613', \n",
" '20240614', \n",
" '20240615', \n",
" '20240616'] \n",
"\n",
"# Create an entirely empty DataFrame\n",
"df_concat = pd.DataFrame()\n",
"\n",
"for date in dates:\n",
" # Construct the filename\n",
" filename = f\"{directory}/{date}.mktdata.ohlcv.db\"\n",
" \n",
" # Create the SQLite connection\n",
" conn = sqlite3.connect(filename)\n",
" \n",
" # Read the data into a DataFrame\n",
" df = pd.read_sql_query(\"select * from coinbase_ohlcv_1min\", conn)\n",
"\n",
" df_concat = pd.concat([df_concat, df], axis = 0,ignore_index = True)\n",
" # Print the combined DataFrame\n",
" # print(df_concat.shape[0])\n",
" # print(df_concat.shape[1])\n",
" conn.close()\n",
"print(df_concat.shape[0])\n",
"# print(df_concat.head(2))\n",
"# print(df_concat.tail(2))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "cd83027c-eaa1-44d9-98ad-8506099c323d",
"metadata": {},
"outputs": [],
"source": [
"df_concat['tstamp'] = pd.to_datetime(df_concat['tstamp'])\n",
"# Extract individual components\n",
"df_concat['year'] = df_concat['tstamp'].dt.year\n",
"df_concat['month'] = df_concat['tstamp'].dt.month\n",
"df_concat['day'] = df_concat['tstamp'].dt.day\n",
"df_concat['hour'] = df_concat['tstamp'].dt.hour\n",
"df_concat['minute'] = df_concat['tstamp'].dt.minute\n",
"df_concat['second'] = df_concat['tstamp'].dt.second\n",
"\n",
"df_concat['date'] = df_concat['day'].astype(str) + '-' + df_concat['hour'].astype(str) + '-' + df_concat['minute'].astype(str)\n",
"df_concat = df_concat.sort_values(by = ['day', 'hour', 'minute'])\n",
"\n",
"selected_columns = ['date', 'instrument_id', 'close', 'volume', 'vwap']\n",
"df_concat = df_concat[selected_columns]\n",
"\n",
"# instrument_list = df_concat['instrument_id'].unique().tolist()\n",
"# print(\"Distinct values in column 'instrument_id':\", instrument_list)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "316c0cfb-c73d-4dad-9d49-eb80daa229ec",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"========================================\n",
" date close_xrp volume_xrp vwap_xrp close_eth volume_eth vwap_eth \\\n",
"0 1-0-0 0.5173 28809.165339 0.517217 0.376204 37.497964 0.376108 \n",
"1 1-0-1 0.5170 10184.511212 0.517060 0.375942 11.703305 0.376013 \n",
"2 1-0-10 0.5176 15515.348778 0.517601 0.375938 11.922897 0.375935 \n",
"\n",
" close_ltc volume_ltc vwap_ltc close_btc volume_btc vwap_btc \n",
"0 0.8317 110.056253 0.831662 0.675060 2.045049 0.674969 \n",
"1 0.8312 176.868598 0.831441 0.674947 0.646759 0.675009 \n",
"2 0.8311 58.951033 0.831037 0.675507 1.201335 0.675478 \n",
"test sample size: 22424\n"
]
}
],
"source": [
"# BTC\n",
"df_concat_btc = df_concat[df_concat['instrument_id'] == 'PAIR-BTC-USD']\n",
"\n",
"# Reset Index\n",
"df_concat_btc = df_concat_btc.reset_index(drop = True)\n",
"\n",
"# Rename Vars\n",
"df_concat_btc['close_btc'] = df_concat_btc['close']/100000.00\n",
"df_concat_btc['volume_btc'] = df_concat_btc['volume']\n",
"df_concat_btc['vwap_btc'] = df_concat_btc['vwap']/100000.00\n",
"\n",
"df_concat_btc = df_concat_btc.drop('close', axis = 1)\n",
"df_concat_btc = df_concat_btc.drop('volume', axis = 1)\n",
"df_concat_btc = df_concat_btc.drop('vwap', axis = 1)\n",
"df_concat_btc = df_concat_btc.drop('instrument_id', axis = 1)\n",
"\n",
"# print (df_concat_btc.head(3))\n",
"\n",
"# LTC\n",
"df_concat_ltc = df_concat[df_concat['instrument_id'] == 'PAIR-LTC-USD']\n",
"\n",
"# Reset Index\n",
"df_concat_ltc = df_concat_ltc.reset_index(drop = True)\n",
"\n",
"# Rename Vars\n",
"df_concat_ltc['close_ltc'] = df_concat_ltc['close']/100.00\n",
"df_concat_ltc['volume_ltc'] = df_concat_ltc['volume']\n",
"df_concat_ltc['vwap_ltc'] = df_concat_ltc['vwap']/100.00\n",
"\n",
"df_concat_ltc = df_concat_ltc.drop('close', axis = 1)\n",
"df_concat_ltc = df_concat_ltc.drop('volume', axis = 1)\n",
"df_concat_ltc = df_concat_ltc.drop('vwap', axis = 1)\n",
"df_concat_ltc = df_concat_ltc.drop('instrument_id', axis = 1)\n",
"\n",
"# print (df_concat_ltc.head(3))\n",
"\n",
"# ETH\n",
"df_concat_eth = df_concat[df_concat['instrument_id'] == 'PAIR-ETH-USD']\n",
"\n",
"# Reset Index\n",
"df_concat_eth = df_concat_eth.reset_index(drop = True)\n",
"\n",
"# Rename Vars\n",
"df_concat_eth['close_eth'] = df_concat_eth['close']/10000.00\n",
"df_concat_eth['volume_eth'] = df_concat_eth['volume']\n",
"df_concat_eth['vwap_eth'] = df_concat_eth['vwap']/10000.00\n",
"\n",
"df_concat_eth = df_concat_eth.drop('close', axis = 1)\n",
"df_concat_eth = df_concat_eth.drop('volume', axis = 1)\n",
"df_concat_eth = df_concat_eth.drop('vwap', axis = 1)\n",
"df_concat_eth = df_concat_eth.drop('instrument_id', axis = 1)\n",
"\n",
"# print (df_concat_eth.head(3))\n",
"\n",
"# XRP\n",
"df_concat_xrp = df_concat[df_concat['instrument_id'] == 'PAIR-XRP-USD']\n",
"\n",
"# Reset Index\n",
"df_concat_xrp = df_concat_xrp.reset_index(drop = True)\n",
"\n",
"# Rename Vars\n",
"df_concat_xrp['close_xrp'] = df_concat_xrp['close']\n",
"df_concat_xrp['volume_xrp'] = df_concat_xrp['volume']\n",
"df_concat_xrp['vwap_xrp'] = df_concat_xrp['vwap']\n",
"\n",
"df_concat_xrp = df_concat_xrp.drop('close', axis = 1)\n",
"df_concat_xrp = df_concat_xrp.drop('volume', axis = 1)\n",
"df_concat_xrp = df_concat_xrp.drop('vwap', axis = 1)\n",
"df_concat_xrp = df_concat_xrp.drop('instrument_id', axis = 1)\n",
"\n",
"# print (df_concat_xrp.head(3))\n",
"\n",
"df_M1 = pd.merge(df_concat_xrp, df_concat_eth, on = 'date', how = 'outer')\n",
"# print (df_M1.head(3))\n",
"# print (\"M1: \", df_M1.shape[0])\n",
"df_M2 = pd.merge(df_M1, df_concat_ltc, on = 'date', how = 'outer')\n",
"# print (df_M2.head(3))\n",
"# print (\"M2: \", df_M2.shape[0])\n",
"df_M3 = pd.merge(df_M2, df_concat_btc, on = 'date', how = 'outer')\n",
"# print (df_M3.head(3))\n",
"# print (\"M3: \", df_M3.shape[0])\n",
"\n",
"# Drop rows with any NaN value and assign it to a new DataFrame\n",
"sample = df_M3.dropna(axis = 0).reset_index(drop = True)\n",
"print (\"========================================\")\n",
"print (sample.head(3))\n",
"sample_size = sample.shape[0]\n",
"print (\"test sample size: \", sample_size)"
]
},
{
"cell_type": "code",
"execution_count": 177,
"id": "92700c76-8eac-4ebb-86d3-27066486c437",
"metadata": {},
"outputs": [
{
"data": {
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UrgER2QsDJKI87uFD+fTChe1bDzlbtgCTJwOOMhBg+3age3eAi+0T5X6KD9ImIsfkCC1Lb78t/gwLA5o0sf/99dc9GjRI/FmyJDBhgv3rQ0T2wxYkIpKVmal0DbTu3VPmviNHyqffumXfehCR/TFAIiJZP/ygzH2HDgWqVQP279emHTumTF0mTpRP//tvx+n2I6KcwWn+MjjNn/ISY2v7VK4MHD8OHD0KNG4M5LNTh7yx+uTEO1V6uunXZWrdo3btgPXrbV4lIsoGTvMnohzXqBHw3nvidP8ff1S6NrYXGQkUKwZcu2Y8T/v2xs9t2MBWJKLcjAESEclKSwP+/FM8njYt5+93+DCwd6/8uXLlbH+/H38EEhOBb7+VP//vv1m3ED1/bvNqEZGDYIBElIukpYktG48emZff1EDstDTt8cOHwJMn2aqaSenpQMOGxhenvH/ftvfTbfn5+2/D848eASEhWZfz/12NiCgXYoBElIuMHCl2C+nt4WzUtm3Gz61YIX2u24r06JFtZ7ll1RLz7Jlt1x5avlx7fPcucO6c9Ly5/35BQbarExE5FgZIRLnI+PGW5dedPl+kiOm8o0YBs2YBhQqJAUT37hZXz6jk5KzzvHhhu/t98IH0efXqwHffWV6Ose45InJ+DJCI8jDdbrR//gE2bzY9q+uLL8RxO4C0Feb8eXHGl7W73T99mnWelBTrytan31qkNn682CpmyX3kuueIKHdggESUS1y/Ln2ekZH1NbpdSRUqAG3aWDZ1XaUC5s4V1y3STTtwwPwyAGD+fPn0QoW0x2+9JZZ95YplZeu6d09sLTLm5Utg3z5p2qefmi6TM9mIcicGSES5hP5Mr5s35fOlpgLvvgvMnAmULm14/tkzy+7bu7dhWlbbgvz9NxAbq31ubNuOJ08AT0/x+L//xJ8VK1oflMjVVdcbbwCtWknThg0zfY2LC/D559bVh4gcFwMkolyqfHn59GXLgHXrgAEDxNljgBh0qFnbTabvnXeApUsN08+eBRo0kA/O5OjvhwYAXl7i4GpLbd4sfb5kifT5wYPS556eQIkSWZf766+W14WIHBsDJCInk5oqruFz6pQ2zZwxPDduiNPSe/XSpqm74VxdtWnBwdLrdM9ZYtMmcSC3/mw33YHkgmB6oHPfvvLpKSnihrGWKlVKe+zqKtZPtyVLX0IC4O5u+X2IyPkxQCJyEidPiospTp4srgJdp472nLHVoMeO1XZHlS0rbo+hq3lz8afuDLH69aV5XF2B2bPNq+P27YZpixcDFy6I9Vi8WNoitHu3+HqMqVDBvPuaq1kz7bF6Bp9u0KTrzz+B/PkN080JRonI+dlpdyUiyo6tW8UB1EDW43t0DR8OVKkibhliirHxSoDYYqW7aKKx/ct69QJatpRPB8TB3z17Ss+Fh5uul24QmF0vX2q7/H77DSheXHtOpTIc12Rs0coCBWxXJyJyXGxBInIC6uAIAA4d0h6npoo/a9fWpk2dKr22Y0cgLs6y+xUsKH3eoAHw++/A/v3Gu9wmTBAHLBtjal8zY7LaB86SKfkdOmiPfX2l53SXO1BzczNe1tdfm39fInJODJCInIzu9P3duw3PDxpkmBYaatk95IKgDz4AGjc2fo06qOrWzbJ76d8DEAOj+HjxuFIl4/n1Z6Xt3i0GQg8fGubV7f5Tz4xTc3UFjh4FVq4Efvop661N5Lr+zFlWgYich0oQuIqHvqSkJPj6+iIxMRE+Pj5KV4fI5MwyQZCe139uLt13gnr1gGPH5M/p1sfTUzumSJ3nxQvA29vy+3/5JfDzz4bpP/0ERESYV291verUAU6cEM9t2yaOv9Jdqyk93bLB5/r/vmlphoO3X7wwDLyIyL5s+fnNFiQiJ/Pmm8bPvfGGbe6huw+bl5fxfGPGAJ06SQdae3lZvk5RwYLieCk5prq61NRdjWonT4pBjYuL2D2pGxwB1s/MM1WnlSuzVyYRORYGSERORm6mmNqCBeLPCxeyd4/y5YGoKHFsk7qry1i+Vavkx+RMmSJ/zfr1wOrVYjfY+vXA7dviRrS6g6Z16a6mDRiOZVq1CvDwML/VbNcu8/JZauHCnCmXiJTBLjYZ7GIjR2NuF1tcHODvr003NWharhxzrVsndsGNGWO8bqmpYuCiKyFBur2JOVJSpF1XgiC2No0da1k5aidPSge1m0O/iw0Qyzh9WpqP76ZEymIXG1Ee8+qr8un60+B1P8hVKnGrDnNY2vrRoYMYoJgK3NzdxYBo9Wrgjz/EulgaHAFikLVnj3j88cfiz0aNxJ/WLAOg3yJlCd2uur17TbfmEZFz4zpIRE5AvSWIvqwWUvT1FQMCU4FSr16G6xPZStGi4jID2dW8ubR1Rt0ydvKk5WUZ68qzVKFChvu2EVHuwQCJyAnoD0JWW70aSE7WPpdr0XnwQFzc0NiaQWXKZL9+9mZqjNVHH4ljmkqUEDfk1RUUJL86trn8/Ky/loicC7vYiBxcSgrw77/Gz3/3nenr8+UTp+IbGx+TnYBBKaaWEQgNFbv0ZswAypWTntPfrNZc69eL3Xrz5xueK1zYujKJyLExQCJycEePmj4/fbr2OKuZXJs2iUHDu+9q05wxQGra1DBt1ixxLaU+fbRply6JweX9++JxrVrW3a9dO+DAAXE9JX3R0eJPU4toEpHzYRcbkYO7dct2Zb39tviIjwfWrhXTrFnUUWmVKxum9etnmObqCtSsKR7bauyRPvU6UZZse0JEjo8tSEQObvBg0+d1d6M3dy0g3cUfzVmI0dHl1NpG5nj8WPyZVUsfETkXBkhEDu7OHdPnb9+2vEzdbTLy5YJ25NdeU+7e6sU5iSh3YYBE5OAs2VfN3Ly6AZKpAeDOwpq952xFdwxYZqZy9SAi22KAROTgIiPl01u3tr5M3RW2nz2zvhySTv3/4w/l6kFEtsUAicjBqaeR6y9KWKyYYV5rVtYPC7P8GtLSbY376y/l6kFEtsUAicjBqWdHlSoFXL0KvPcekJgov8+aJeOJli4FPv8c6NzZNvXMq3QDJCLKPRggUZ6VmSkGHI5OHSB5eIhrGK1ZI7YUZXf22fvvA7Nni1PhyXq6G/Jys1qi3IMBEuVZH38s7mU2Z47SNTFNN0DSlZYmfd69u33qQ1K6rXazZilXDyKyLQZIlGctWiT+1F152RE9eCD+1O9S0w+QJkywT30cTUCA0jUgotyIARKRA0tN1a6zM2WK9Jz+lPLAQPvUydGwi5Bs5cEDdpOSFgMkIge2eLHxc7oBUpcuyq4FpKSQEKVrQLnB/Pnikg3qltrkZGDdOi6DkZc5RIA0a9YsBAcHw9PTE2FhYThy5IjRvM2bN4dKpTJ4tGnTRpNHEARERUUhMDAQXl5eCA8Px+XLl+3xUohsytQq2RkZ2uMVK3K+Lo7m+HGgd2/xg01pvr5K14Cy65NPpM9ff13c1Ll8eWXqQ8pTPEBauXIlIiIiMHLkSJw4cQIhISFo1aoV7t+/L5t/7dq1uHfvnuZx9uxZuLq6olOnTpo8EydOxPTp0xEdHY1//vkH+fPnR6tWrfDy5Ut7vSxyMg8fKl0DQ+PHA6NGGT//+efiT7md7fOCV14Bfv0V8PdXuibA7t3izwIFlK0HWS9/funzf/4Rfxr5KKI8QPEAaerUqfjss8/Qq1cvVKtWDdHR0fD29sZ8I18LixQpgoCAAM1j586d8Pb21gRIgiBg2rRpGD58ONq1a4datWph8eLFuHv3LtavX2/HV0bO5Nw5pWsglZkJfPedNO3LL6XPw8OBa9eU3aiVROq1kHQ3ASbnUrOm9pgLfprnxQula5CzFA2QUlNTcfz4cYSHh2vSXFxcEB4ejsOHD5tVxrx589C1a1fk/3/4f/36dcTFxUnK9PX1RVhYmNEyU1JSkJSUJHkQKUm3+0ytVi3DtLJls78eEmWfetwK92JzXn//rT1u1ky5ejiLMWMAb+/cPfZR0QApISEBGRkZ8NdrI/f390dcXFyW1x85cgRnz57Fp59+qklTX2dJmePHj4evr6/mERQUZOlLISfnaH/kiYmGaVznyHGpZ9LJBbbk+NgKa7kRI7THZrZnOB3Fu9iyY968eahZsybq16+frXIiIyORmJioecTGxtqohuSoHP2b/vLlhmn6C0WS42CA5Nz27zd9ftIk+9TDWY0bp3QNcoaiAVKxYsXg6uqK+Ph4SXp8fDwCslj9LTk5GStWrMAnelMP1NdZUqaHhwd8fHwkD8rdnjyRPne0tU8cfXVvkmIXW/Zdvw4cOKDMvbP6+x882D71cFabN4s/MzOBIUOAP/5Qtj62omiA5O7ujtDQUMTExGjSMjMzERMTgwYNGpi8dvXq1UhJSUF3vX6HsmXLIiAgQFJmUlIS/vnnnyzLpLxD/5v+wYPK1MOYs2eVrgFZgi1I1ktPB44cEfcZbNIE+O8/Mf3qVeDKFfvU4elT+9wntzD2RWD9emDiRKBjR7tWJ8co3sUWERGBuXPnYtGiRTh//jz69u2L5ORk9OrVCwDQo0cPREZGGlw3b948tG/fHkWLFpWkq1QqfPXVVxgzZgw2btyIM2fOoEePHihRogTat29vj5dETiA1Vfpc5leMyGwMkKz30UdAWJj2eY8ewMuX4j6JFSuKx/oePAAKFwYWLrRNHV591Tbl5BVyv+fffWd63TZnpHiA1KVLF0yePBlRUVGoXbs2Tp06he3bt2sGWd+6dQv37t2TXHPx4kUcOHDAoHtNbfDgwRgwYAB69+6NevXq4dmzZ9i+fTs8PT1z/PWQ47t4EShVSulaUG6i7mJjgCR18qQ4AWLmTON5li6VPj9xQmyFUHvrLcNr/PzEbvJevYCuXbNfT3O62G/cyP59cgu9j2QA4rpt+vtDOjuVIDja6AvlJSUlwdfXF4mJiRyPlAtVqSIGSfq2bwd8fABH6InVn1XXrRuwbJkydaGsxcdrN83lO6qW7u+x3L9LWpp2DSlTnj2TTinX//s4fVp+GQxzlS4N6M/NiY83XISU/7eif//Neosfpf6tbPn5rXgLEpG9yQVHAPDmm0DDhvati7nkZrWR49DdMJcDtc2zdq15wREgrlDu4iL+206bZng+JASIijLsOjeXbnDUqxewcaPYSqVeIV1txgygRQtxn7a8Kj3d/P83Z8cWJBlsQcrd5NY8ql9fHCgKiG/CSq+LJHd//qU6rkePAPVwyNRULt6ppvt7nJ6uDSS3bwdat7a8vEKFDGeg6urSxfJ9Ce/eBUqWFI99fKRrkOme0xUSApw6Zdl9coPUVKB6dXFrpsePxX+bO3fk87IFiSiX0P1jdsQWgHz5lK4BmcIWJHmVK2uPY2PFqfyRkfLBkd7KLLJMBUcAsHIl0KEDcOuW+XX85hvtsYveJ6KxlpLTp80vPzc5dUqcWfj4sfjc21vR6uQ4BkhEkA4uTE9Xrh7GVKumdA3IFN0AydYDtVNTgfnzLfvQdxSFC2uPN2wQp/L/+KNhvnz5xC4tS6bbBwfLBzDr10uDnqxcvqw91l9/TD9g0qUePL5/v9gllxfoB0QMkIxYsmQJGjVqhBIlSuDmzZsAgGnTpmHDhg02qxyRvegGSI44EyO3vxE5O90PUlsHSB4ewCefAGXKSNOt6cLIzLRv14duwPPVV8bzqafyFygAHD0qjk9KTxfr+uab8tccPWp84sLq1cbv9c03QO/e2pa+58+156pUkebVDfD0bdsGVK0KNG0KtGsHDBpkPG9uoftFAADy55fvgswtrAqQZs+ejYiICLz11lt48uQJMv7/jlCoUCFMkxtBR+RAdKcNR0SIP3W7ReTWXRk9WpzGag9yeyWPGmWfe5N1zGlBmjJFDBLkApRly8TxOn36SNPl8r58KU40cHERrzl/Xnq+Th0xXaUSu7Tu3NE+d3XVXnfsmEUv0SrqRR+NOXFCfI26/35164rdZOq0bdsMW2jefx8oVgx4911xULWc/v21r1v97/jypfj/MHeuWL67O3DunPaa6tWlZahUpnesv3BBezxtGpCQYPLlOr3Zs6XP8+UznP2nlivGTApWqFq1qrBu3TpBEAShQIECwtWrVwVBEIQzZ84IRYsWtaZIh5KYmCgAEBITE5WuCuUA8U9XEDp0EISffhKPy5XTpm/ZIuY7cEAQKlUShKNHteeePs35+o0bp72f+kGOLS1N+391547h+efPtefnzRN/BgeLPxcvNv5/vX274e+C3EPuPuZel5Fh3WveulUQpk83fj493fS9u3c3/176ZcnVOSbG9P08PATh8mXj55s2NX5/S/5Nb940/3U5G/3XWrCgmO7hYXhu0yZl6mjLz2+rWpCuX7+OOnXqGKR7eHggOS/PfySnsm6d9luqbjN7mzbiN8HGjYFLl4B69bTn7PENkduMOB/dFpAXL8Sdzrdu1abpLqynXt9WvfBgjx7Ssho31h4b617Sd+WKuB+WpV2x6lalGTMsuy4jQ2yJ/fJL4JdfxLTHj4HoaHFGX3o6sGaN8etffx1YssT8+7m6SpfgkBsb9NprQOfOxstISRFX5jbG3IkQZ86YPq/fFZqbqbtQU1IMz+WGjSusCpDKli2LUzJzHLdv346qVatmt05EdqN+U9QNkACgeHH5/OasphsfD1y7Zn2duCCk89Gdzr58OTBmjBhoA+KHx59/ml+Wel9AS5aaqFYNaNvWvLx6uzMBEAMdQch6/FRmJvDee9Jgon9/cXPSIkWAvn3F8t3cTK9wvXateXXVtX07EBQkTuU3Zt48y8tVM3fafo0a4r8BmZYbVpW3KkCKiIhA//79sXLlSgiCgCNHjmDs2LGIjIzEYG57TA5iwwbDN2L9P1r1N3+5cT9yBg7MOk9AAFC+vG1amz79NG+ut+LMRozQHnfsCHh6Av36WVaGqUHGcsyZWLBhgxgEGQvyXVzEwMfHRxzI/Oqr2hYCQQD27RODPrngxpLNSevWFe9hqYIFxTFVphZNNTXrLCuWBG3ZCcTIiVjbN/f7778LFSpUEFQqlaBSqYSSJUsKv/32W7b7/BwBxyA5v7t3tX3h/x8iJwiCICQmatOLFhWE336zbHxBVn8xy5dr861YYV3dAwI49sgZWfp7pH74+QnCX38JwsqVxvO8/774uzVnjnlltmsnfb5ypSBkZlpX19RU61+b3OPAgZz7P0hJsb5ef/5pvNxLl8Q8HTtK09PSxJ/37pn/HuHMjL0fGvs3ff7c/nW05ed3tv8rk5OThfj4+GxXxJEwQHJ+f/yh/SNdtUpMe/ZMEBYt0qZPny4ICxda9iZqaiBn796GH1KhoYKQlGRZ3YsXz/1vtLmRtR/MahkZxvO8eKHNl5YmCKNHC0J8vPH8t24Jwrffisf//WdY1+PHBcHbWxD697dd4BMeLgYShQoJQpEi4pcPQRCEXr20eYYNkwZqOeHQIUF47TX5Op4/LwjvvSc/ESKrj7GUFNPnL1wQyylc2HavxdHo/5up/4+XLxcEd3fpF0RAfsJCTlM8QHr+/LmQnJyseX7jxg3hp59+Ev40FYI7EQZIzu/QIcNvhmXLSv94MzMFYdky6z/Q9BnL/957ltU9L3wTzY3M+d1JShIEHx8xMHntNUH47jtpGeHhhtesX2/8nuoZcbqPzZstq/e2bYIwdqwgLFhg/t/A4MHitRcvigHBX38ZLz85WfySYs+304wMQejRQxCWLtXWWT3jSk339TRrlv17qluZfH2zX5aj0v890A1209IMWxtDQsQZiPakeIDUsmVLYfbs2YIgCMLjx48FPz8/oVSpUoKnp6fwyy+/ZLtSSmOA5Lx+/VV8s965U/tH+u67hlOpS5US848ebXmA9N13gvDkieG9rQmq5DBAck7ZCa7V7t+X5j91KutrMjNt9ztz9678lG31o1w5QahfP+dbgWzp2DExWEpNlaYfOWLbv7MrV+QDsdwkq99nuVbQ3bvtW0fFp/mfOHECTZo0AQCsWbMGAQEBuHnzJhYvXozp06fbZGwUkaX++ktcaK9pU+DZM2362rWGU6lv3xZ/ZrWQnZxx44BataSLS+pO45YTF6c93rgR+PBDaR3VdGe/ffut5XUj51a8uDiL7aOPgF27xE1Rs6JSiYspAtnfIywwUFxMURCAAwek55YsAa5eBf75R/nNnC0RGgosWmS4gXC9euLsQltNglAPEM8Ns7esJfd74cx7E1q1Bebz589RsGBBAMCOHTvw7rvvwsXFBa+++qpm2xEie9Ndn6RDB/OusXYLj1u3xBlwgiA+L1HCdP7AQG3edu3En7//rk1TK19ee8wVM3KP4GDzZz41bChd88ccb75p+LuUXQ0bAg0aAIcPA5MmAR98YNvyHcEbb9iuLHWA5MwBQXbJBUjOvNG2VS1IFSpUwPr16xEbG4s///wTb/z/t+z+/fvwsWb+JpENDBhg+TXqrUbkHD2a9fWpqYbbE5iiv2N5aqrxvM78xkJakZHi9PTXXlO6JpZRqYBDh8TA65tvnKvVSAnqJUPySoDUsqV5+Zz5fcyqACkqKgrffPMNgoODUb9+fTRo0ACA2Jokt8I2kT1Y8g1avXGmn5/xPDVqZF3O8OHSvZzUunY1LHvaNHGNJF3qrj4AGDZMes6a7j9yPOqVsyl3ywstSOoW99mzzV83ypkDJKuq3rFjRzRu3Bj37t1DiE4n+euvv44O5vZtEClI/e3H1JuZm5sYtIwdazzPpEmGaepA7dkzcXE7Nbndvh89AsqVAxYuFMc26XryxPh9yXkUKKB0Dcge8kKApH5ve/NN83+v9cd+OROr1x0NCAhAnTp1cPfuXdz+/9fg+vXro0qVKjarHFFOqVxZ/Cm37YKaqyswerR4/Prr5pWr3pcKAPLnzzr/48fAw4fyO5JnNa6JnINukEy5V14KkCzpbs3O6uZKs6rqmZmZ+OGHH+Dr64syZcqgTJkyKFSoEEaPHo3M3PzbQQ6tVSvz8sXEaAdDZ9X8q1KJbwq7dpnX5/7559Jr5883nf/FC6BYMflz6m5Acl5Nm1o/EYCci24gYOsB847CmgDJmUMCqwKkYcOGYebMmfjxxx9x8uRJnDx5EuPGjcOMGTMwQncjIiI7MhZo6GvRQj69VStgyhTj18l1p+kqW9bwjaNXL9P7VP3zj/FznO/g3EaNAvbuVboWZC+6AZIzBwWmmBMg6X8pdOZ/C6sCpEWLFuG3335D3759UatWLdSqVQv9+vXD3LlzsXDhQhtXkcg8S5capi1YALRuLR1HZOyPu1IlcWNRY0JCpF1o+vbvl0///5JhsvTHHVHu4eXFmV95iW6AdOuWcvXISeYESPrDBfJcgPTo0SPZsUZVqlTBo0ePsl0pIlv56CNg61ZxqnVEBBAdbTyvqyvg7m66vM6djZ8rWVI+XXen9UOHst6pvW5dYPt203nI8Tnz7B2ynG6AZO4ML2djTRebMy+caVWAFBISgpkzZxqkz5w5UzKrjSgnHD4MfPll1t9MxozRHqtUYvdZnz7G87u4AG+/LR4bm+JfpIg4YNtUq5A+Dw/tcd26xrvcNm8WV0I+etT88VTkuNTr4lDeoBsgOXNQYEpeC5Cs+o4zceJEtGnTBrt27dKsgXT48GHExsZi69atNq0gkT71KsO3bgHr14vHUVHa86+/Dnz3neUL87m6iusUPX5sfAaaSgXs3Ckemzs7o00bccB13bqmp7y2aWNRdcnB1aypdA3InnTfD3RbjXMTawKk9PScqYs9WNWC1KxZM1y6dAkdOnTAkydP8OTJE7z77ru4ePGiZo82opygOztkwwbtsXo6PiAOErRm1WL1G1yhQqYDGZVKfPz7r3nlli0rBnO7d2vTihSxvH7kPJYsMT4ZgHIn3QApJUW5euSkvBYgWd1LXqJECYw1tYIeUQ5YvjzrPIUKWVe2bleYOWrWFMc1TZ0KzJplOq/+mkZ//SXtxpNbjZucU+XKQPfuSteC7E03QDp2TLl65CRrAiRnbk0zO0D619yvywBq1aplVWWIsjJ8uPZYPVtCv4/b2unx1qxXM2kS0LevdJNZc+i3UAUFWX5vcky5dQ0cMk13zNm2bcrVwx6yCpB8fYHERPFY3YI0Y4b4JbR375ytmy2ZHSDVrl0bKpUKQhZ//SqVChnOPCqLHJqXl/bY11f8+ddf2Stz4EBg40bTA7iNcXEBKlSw/Dr9AeaWtl6R42KAlDfptiC1bq1cPXKK7u91VgHSqVPi0AJAbEG6fVucWAOIM4GtbeW3N7MDpOvXr+dkPYjM8t132u4LddOt7ngjCxo6NaZNA376yb5r1lSuLD4uXhSfO/N+RSTF/8u8Sff9Izf+DlgSIAUHA82aAfv2iS1IcXHac1evAqGhOVJFmzN7kLZ6S5EyZcpg2bJliImJkaSVKVMGMTExWLFiRU7Wl/I43TeeWbOAhATpeWtnDtl7QT+VCrhwQVwocs0a+96bcsaiRWJXqdyCpZS3pKYqXQPbsyRAAsTZwABw7Zp04+26dW1arRxl1Sy2X3/9VXahyOrVqyPa1Ep8RNm0b5/0efHiytTDViIjgffeU7oWZAs9eoizFWvXVrompLTt28WZjA8eKF0T27E0QFK35kdGalvKnY1VAVJcXBwCAwMN0osXL4579+5lu1KU++zYIXZjZXd8hqmtPoiIHEWPHoCfH3D8uNI1sQ1LAyRdd+/ati72YlWAFBQUhIMHDxqkHzx4ECX05zMTQVwZOiIC2LNH6ZoQEeWMtm0N0777zv71yAnZCZB27bJtXezFqgDps88+w1dffYUFCxbg5s2buHnzJubPn49Bgwbhs88+s3UdKRe5di3nyp40KefKJiLKSqNGhmmmNsB2JtkJkN54Q/r89dezXx97sGqhyG+//RYPHz5Ev379kPr/0Wienp4YMmQIIiMjbVpByl2ys6pqVt1zERHWl01ElF1ygYMz72avy9IA6Y03xKEVNWuK+0vq2r0bePFCumyLI7KqBUmlUmHChAl48OAB/v77b5w+fRqPHj1ClO6GWJSnCYL2D0p3WazsLJE1Y4bp8+bujUZEZC+bNytdA9uwNEBStxKdOQP8+afheW9vYMsW29Qtp2TrI6VAgQKoV68eatSoAQ+udEf/JwjidPzixcVvTy9fas8dOWJ9uQMHGj9Xp4715RIR2YL+LNvcxNIAyZy1oN5+2/r62AO/c5PNnTghthQ9fAjcuQMkJWnPLV5s+5WGo6KAv/+2bZlERJbautUwzd3d/vXICZYGSPms3unVcTBAIpv77z/tsYuLuFK1LldXYOHC7N1D/e1k40Zg1Kjc8yZERLmL7kr/zswWLUjt2kmfP3yYvTrlNMUDpFmzZiE4OBienp4ICwvDkSz6YJ48eYL+/fsjMDAQHh4eqFSpErbqhO0ZGRkYMWIEypYtCy8vL5QvXx6jR4/Ocg85sh3dvcnu3QMmTpSeFwTtRrPW+vprsZVKblotEZGj2L5d6RrYhi0CpMWLpc+LFMlenXKaogHSypUrERERgZEjR+LEiRMICQlBq1atcP/+fdn8qampaNmyJW7cuIE1a9bg4sWLmDt3LkqWLKnJM2HCBMyePRszZ87E+fPnMWHCBEycOBEzshrhSzajOxC7Xj3j+bKzvceQIRyUTUTOITd8kbNFF5uPj3ZgtjPsSqZoL+HUqVPx2Wefodf/mxOio6OxZcsWzJ8/H0OHDjXIP3/+fDx69AiHDh2C2//D0+DgYEmeQ4cOoV27dmjTpo3m/PLly7NsmSLbUW8ia47Ro4Hhw837g3vzTfHb2PffO89u0EREmzeLAYa993y0BUEQx5IWLKhNy84g7bfesv041Jyi2Hfw1NRUHD9+HOHh4drKuLggPDwchw8flr1m48aNaNCgAfr37w9/f3/UqFED48aNQ4ZOk0XDhg0RExODS5cuAQBOnz6NAwcOoHXr1kbrkpKSgqSkJMmDrGdJgBQVBfz4o3l5vb3Fn35+lteJiEhJzrjlyNKlYkt9UBDw7bfadGtakP74w7Z1swfFAqSEhARkZGTA399fku7v74+4uDjZa65du4Y1a9YgIyMDW7duxYgRIzBlyhSMGTNGk2fo0KHo2rUrqlSpAjc3N9SpUwdfffUVPvjgA6N1GT9+PHx9fTWPoKAg27zIPMqSAAkwvhT/e++Jf4jVq4vP1QuusWuNiJzN6tXA/9dVdgqCAHTvrn0+d6722JwASXd5F0DcbsrZONVHTWZmJvz8/DBnzhyEhoaiS5cuGDZsGKKjozV5Vq1ahaVLl2LZsmU4ceIEFi1ahMmTJ2PRokVGy42MjERiYqLmERsba4+Xk2sZWy37yBFxbSR9YWGGaQ8eAGvXisfnzolBl7pZlgESETm63bulzydOBJxpuUBTX3TNeQ/Wff0qleOvmi1HsY+aYsWKwdXVFfHx8ZL0+Ph4BAQEyF4TGBiISpUqwdXVVZNWtWpVxMXFabY8+fbbbzWtSDVr1sSHH36IQYMGYfz48Ubr4uHhAR8fH8kjrzp+PPtNwXJ/WIULiwO279833DPtn3+0xxkZ4pYhDRtK8zx4AGzYIB7fu5e9+hER5QT1itGdOgHNmilbl+zKboDUtav2WBCc84utYlV2d3dHaGgoYmJiNGmZmZmIiYlBgwYNZK9p1KgRrly5gkydzW0uXbqEwMBAuP9/IZznz5/DRe9/wtXVVXINyUtNBerWFR9yY9ozMswbXCf3h3Xhgvb4m2/EgEnOokXATz8BV65I03UmKuLXX7OuAxGRvb3xhrjH2KpVxruhUlLsWydrmaqnOV1sztRaZoyiMV1ERATmzp2LRYsW4fz58+jbty+Sk5M1s9p69Ogh2fy2b9++ePToEQYOHIhLly5hy5YtGDduHPr376/J07ZtW4wdOxZbtmzBjRs3sG7dOkydOhUdOnSw++uzB0EALl4Ezp4Vl7mvV0+6cnVWVCrxkZkp7R8PCwMSErTPe/cWB92pY8/168UVs+XIBUj6A6tHj5a/9pdfsq7zzz9nnYeISAmenuJPY0GEpydQtqz96mOt58+zd70zztgzIChsxowZQunSpQV3d3ehfv36wt9//60516xZM6Fnz56S/IcOHRLCwsIEDw8PoVy5csLYsWOF9PR0zfmkpCRh4MCBQunSpQVPT0+hXLlywrBhw4SUlBSz65SYmCgAEBITE7P9+nLasGHqbWGlj99+E89nZAhCjRqC8NVX2msyMwVh1SrDa+rXN0z79lv58tWPu3cFoVo1QfjzT235c+ca5tOXmak9V7q0IKSnC8Inn5i+l/px9WrO/psSEdmCqfexY8eUrp1ply4Zr7s59u2z/BpbsOXnt0oQnGVFAvtJSkqCr68vEhMT7TYeaft2YN06YMoUcQxOWhowf37WUbip86NHA7VqGS7vnlMePRK7zmbPBvr1E9e7SE0FWrYEBg82zD9sGDBunOkyN20yXGRNfR8iIkdm6v153TqgfXu7VcVip08DtWvLnzMnati/H2ja1LJrbMGWn99OOGwqd0lMFP+IWrcG5swRF+OaO1fcq+zaNbH7bOpUIDBQ2x2mUondacnJpsseMcK+Gwa+8Yb4U93FVqAAsHOnfHAEACEhWZf5//U+JXx9rasfEZGjePpU6RqYpu5iK1dOul2U7npIpjjjoGx9ueAlOK8XL0yvCF2hAlClirjvmP7SUM2biwFIVuQCjJxy7Jj4U/3HtGqV6fzGlgMAxMBRvfLsyJHSc7nhD4+I8rYePZSugWnqAMnbGxg4UJs+YYJ51+u2njnruFF+1NhZQoK2Fejdd5Wujejff4GNG4H+/cUuscuXpeebNBHPJSWJK6u+9RZw8qTx8u7cMe++piYW6raMDh9uXnlERI5EEMT3uVdflT+/cKG49Ikj0g2Q3N21o4nMHXyt+0VWvQuCs2GAZEcPHkgXSsyJXZ6DgoC//5Y/N2QI0KiRuEngs2fiNE5BAGrWFMf5zJwp7p9ToYK0v7hTJ/FcwYLA+++Lmw3Wrg0cPQpUq2a8LrqrsMoxd8Vte3YTEhHZkkoFGNk9C716Aa+9lr3yu3cHAgK0K1d//73Yw1CrlvSLrCAAp05pu/a6dRPrpm7516cbIFlDN5D6/yo8TocBkh3t22f6vO7CWpZ49AiIjRUHPJ84AdSvL5/vxx+BAweALl2A/Pmz/qVdskTM+9ln8ufr1gX++w+YNUub9umn2mNj35rUTHWx6Vu8WPxGsnq1+dcQETm6//7L3vVLlwLx8WIvQGwsMGqU+Flz5oz45VZt3jygTh2gSBHxc2DFCjG9Xj1peWfOAHv2iMMcAEBnXWaL6LYg5URjgD1wFpuMnJrF1qGDuH6QvvbtxVaSlSuBYsWAx4/F4EK/Jej8efGXu3hx4MYNIDjYeHPnvn3A1avAJ59o03Lqf/q//4AaNQzT//1XbJ0y5tIloHJlaVqhQuIfepMmhvlfvtSuMUJE5ExMdU1Z+96ckaFtYd+0SVxfSfe9uFgxsefCkvvL5bOmfps3a2cgt2plvyCJs9iclG40r2vdOrFlxMVFbA168UJskk1NFTdqDQkR+7GrVBEXXFSpxD8EU7/wzZoBH38M7NolBlI7duTISwKg3UxWn1zQpKtSJcO0Y8fkgyOAwREROS9ji+Nmx4sX2uNDhwCddZUBSBf7NWXJEvHnqVM2qRYA6YLFzrp7F1uQZORUC5Kx/Whyw/+Atd86PDykK3gnJjrvHxMRkSnGvtRa+xlw/z7g76997uFhuEXIypVA585ZD65++lQcZ6ovIkJcn89Sy5YBH3wgHv/0E/DVV5aXYQ22IDkplUr8FlGlijbNVBeUM1u3zrx8J09KAyIGR0SUW02aBHz0kWG6tQGSbgsSIL9GUZcuwN69WZdlbAysqYk4pjx6pD3+8EPrylAaAyQ7Gz5cHEu0fj3QoIH5gYSzMXf17mrVgOvXxUHj9lyziYjI3r75BliwwDB940brytPfL81Yl9o//2Rd1pYt8unvv29ZndR0NxgvWtS6MpTGCdQKadfOfluA2MPVq0B4OPDkiTi43JKNCosUAR4+dN6poERE2dG+vXWtSPotSNHR8vliYy0vGwBmzAC8vKy7NjdggEQ2Ua6cuDWKJQuJ6fLwsH2diIichTXvnerB1VmZNUvcrurePcNr5bq/Xr4Up/u/8opl9clt2MVGNmVNcERElJe8fGk4Lkh3Y9fffhPfS421CAHAwYPAtGny5y5flk5+AbTB0YkTYjDWvbu4WKS+YsXEL6x162ZvW6fAQOuvdRScxSYjp2axERERqel/oUxPFxdm1E039gltzrpGcnn++0868Fo/T3Q00KeP8bItMWWKuDODPYeTcBYbERFRLhMTk/0yFi7UHsu1QLm5SZ/Xri3+/O8/cfKQrYIjQNxo3ZnH2jJAIiIicgB9+4orUFtj6VIgLg7o2VObprv1k5r+OknHj4stV9WqOXcwkxMYIBERESlg7lzp82vXtNtzqD14YDhbTb0xrdrQoeJ0fN1FIwGxu27OHGlaxYrS5y4u1u+3lttxFhsREZEC9Lu75Pj5iT8zMrSDpnUXYQRML+aoP0OYM4bNxxYkIiIiB1emjPb411+1x598YnoxR7k9L8k8bEEiIiJSQEaG+Xlv39Ye79ypPf7tN9PXqQdhk+XYgkRERKSA9HTrrrNk6w5PT+vuQQyQiIiIFGFJC5KusDDxZ1CQ7epChhggERERKaB4ceuuS04Wf773nnn5X39d/Llvn3X3y6s4BomIiEgB775r3XU//ij+NHcj2V27rLtPXscWJCIiIgVYuteZfpfcyZO2qwsZYgsSERGRE0hKki7qePeucnXJC9iCREREpJBx44D27c3b5qN2bWD3bu3zmjVzqlYEsAWJiIhIMZGR0ue3bgFPngAhIYZ5b90COnTQPs/HT/AcxX9eIiIiB1G6tPgwR/nyOVuXvI5dbERERA7mq6/En926Gc/z9dd2qUqexQCJiIjIwUydCly5AixdCpQsKZ/H29u+dcpr2MVGRETkYFQqdqEpjS1IREREDiwzU+ka5E0MkIiIiByYtXu2UfYwQCIiInJg9+8rXYO8iQESERERkR4GSERERE6mcGGla5D7MUAiIiJyMuPHK12D3I8BEhERkZPx8lK6BrkfAyQiIiIno1IpXYPcjwESERGRk6lRQ+ka5H5cSZuIiMhJHDsG3LkD1KmjdE1yP8VbkGbNmoXg4GB4enoiLCwMR44cMZn/yZMn6N+/PwIDA+Hh4YFKlSph69atkjx37txB9+7dUbRoUXh5eaFmzZo4duxYTr4MIiKiHFWnDhAaCrzzjtI1yRsUDZBWrlyJiIgIjBw5EidOnEBISAhatWqF+0ZWxUpNTUXLli1x48YNrFmzBhcvXsTcuXNRUmcnv8ePH6NRo0Zwc3PDtm3bcO7cOUyZMgWFOSeSiIic0LhxgIsL8MsvStckb1EJgiAodfOwsDDUq1cPM2fOBABkZmYiKCgIAwYMwNChQw3yR0dHY9KkSbhw4QLc3Nxkyxw6dCgOHjyI/fv3W12vpKQk+Pr6IjExET4+PlaXQ0REZAtpaYCRjz3SYcvPb8VakFJTU3H8+HGEh4drK+PigvDwcBw+fFj2mo0bN6JBgwbo378//P39UaNGDYwbNw4ZOhvVbNy4EXXr1kWnTp3g5+eHOnXqYO7cuSbrkpKSgqSkJMmDiIjIUTA4sj/FAqSEhARkZGTA399fku7v74+4uDjZa65du4Y1a9YgIyMDW7duxYgRIzBlyhSMGTNGkmf27NmoWLEi/vzzT/Tt2xdffvklFi1aZLQu48ePh6+vr+YRFBRkmxdJRERETsmpZrFlZmbCz88Pc+bMgaurK0JDQ3Hnzh1MmjQJI0eO1OSpW7cuxo0bBwCoU6cOzp49i+joaPTs2VO23MjISERERGieJyUlMUgiIiLKwxQLkIoVKwZXV1fEx8dL0uPj4xEQECB7TWBgINzc3ODq6qpJq1q1KuLi4pCamgp3d3cEBgaiWrVqkuuqVq2KP/74w2hdPDw84OHhkY1XQ0RERLmJYl1s7u7uCA0NRUxMjCYtMzMTMTExaNCggew1jRo1wpUrV5CZmalJu3TpEgIDA+Hu7q7Jc/HiRcl1ly5dQpkyZXLgVRAREVFupGgXW0REBHr27Im6deuifv36mDZtGpKTk9GrVy8AQI8ePVCyZEmM//+ufH379sXMmTMxcOBADBgwAJcvX8a4cePw5ZdfasocNGgQGjZsiHHjxqFz5844cuQI5syZgzlz5phdL/XEPg7WJiIich7qz22bTNAXFDZjxgyhdOnSgru7u1C/fn3h77//1pxr1qyZ0LNnT0n+Q4cOCWFhYYKHh4dQrlw5YezYsUJ6erokz6ZNm4QaNWoIHh4eQpUqVYQ5c+ZYVKfY2FgBAB988MEHH3zw4YSP2NhYq+MSNUXXQXJUmZmZuHv3LgoWLAiVjXcEDA0NxZUrV2xaJhERkTPavXs3QkNDbVaeIAh4+vQpSpQoAReX7I0icqpZbPbi4uKCUqVK5UjZugPMiYiI8rICBQrYfEFmX19fm5Sj+F5sRERERI6GARIRERGRHgZIdtakSROlq0BERKQ4V1dXBAYGKl0NozhIm4iIiEgPW5CIiIiI9DBAIiIiItLDAImIiIhIDwMkIiIiIj1cKDILtl5Jm4iIiJSxcOFC9OzZ06y8bEEiIiKiPCEkJMTsvAyQsiAIguZBREREzmvcuHFm52WARERERHnCnTt3zM7LAImIiIjyhPj4eLPzciVtC3DANhERkfPy9vZGcnKyWXkZIFmAARIREZFzMzfsYRcbERER5Qlubm5m52WAlIUvvvgCKpWKrUdERERObuTIkWbnZRdbFhgYERER5Q579uxB8+bNzcrLlbSzwPiRiIgo72EXGxEREZEeBkhEREREehggEREREelhgERERESkhwESERERkR4GSERERER6GCARERER6WGARERERKSHARIR5SrNmzfHV199pXQ1iMjJMUAiojxr7969UKlUePLkidJVISIHw61GZGRmZuLu3bsoWLAg92IjcjLp6elISUlBUlJSlnmTk5MBAElJSXBx4fdFImcnCAKePn2KEiVKZPtvmpvVyrh9+zaCgoKUrgYRERFZITY2FqVKlcpWGWxBklGwYEEA4j+wj4+PwrUhIiIicyQlJSEoKEjzOZ4dDhEgzZo1C5MmTUJcXBxCQkIwY8YM1K9fXzZv8+bNsW/fPoP0t956C1u2bEFaWhqGDx+OrVu34tq1a/D19UV4eDh+/PFHlChRwqz6qLvVfHx8GCARERE5GVsMj1G8033lypWIiIjAyJEjceLECYSEhKBVq1a4f/++bP61a9fi3r17msfZs2fh6uqKTp06AQCeP3+OEydOYMSIEThx4gTWrl2Lixcv4p133rHnyyIiIiInpvgYpLCwMNSrVw8zZ84EIA6QDgoKwoABAzB06NAsr582bRqioqJw79495M+fXzbP0aNHUb9+fdy8eROlS5fOssykpCT4+voiMTGRLUhEREROwpaf34q2IKWmpuL48eMIDw/XpLm4uCA8PByHDx82q4x58+aha9euRoMjAEhMTIRKpUKhQoVkz6tnvOg+iIiIKO9SNEBKSEhARkYG/P39Jen+/v6Ii4vL8vojR47g7Nmz+PTTT43mefnyJYYMGYJu3boZjSbHjx8PX19fzYMz2IhI1/O05+CEX6K8RfExSNkxb9481KxZ0+iA7rS0NHTu3BmCIGD27NlGy4mMjERiYqLmERsbm1NVJiInc+PJDeQflx8VZ1RUuipEZEeKzmIrVqwYXF1dER8fL0mPj49HQECAyWuTk5OxYsUK/PDDD7Ln1cHRzZs3sXv3bpN9kR4eHvDw8LD8BRBRrlf257IAgKuPrypcEyKyJ0VbkNzd3REaGoqYmBhNWmZmJmJiYtCgQQOT165evRopKSno3r27wTl1cHT58mXs2rULRYsWtXndiSjveZn+UukqEJGdKN7FFhERgblz52LRokU4f/48+vbti+TkZPTq1QsA0KNHD0RGRhpcN2/ePLRv394g+ElLS0PHjh1x7NgxLF26FBkZGYiLi0NcXBxSU1Pt8pqIKHc6FXdK6SoQkZ0ovlBkly5d8ODBA0RFRSEuLg61a9fG9u3bNQO3b926ZbCfysWLF3HgwAHs2LHDoLw7d+5g48aNAIDatWtLzu3ZswfNmzfPkddB5MwuPbyEdefX4Yv6X8DbzRtPXj5BYa/CSlfL4bioFP9OSUR2ovg6SI6I6yBRXnLuwTlU/6U6AOCDmh/gRfoLrD2/Fvs+2oemZZoqXDvlqUZpV+Q9+tlR1C1RV8HaEJEptvz8VrwFiYiU1er3VprjpWeWao57beiFq19yYLIuFbK/fQEROQe2FxPlcbeTbsumX3t8zc41cXye+TyVrgIR2QkDJCKSVcOvhtJVQHJqMuKeZb1orL2su7AObZa1waMXj5SuChHlMAZIRCSrW41uSlcBLZe0ROCUQNxKvKXI/fWHaI7YMwJbL2/FqL2jFKkPEdkPAyQikpUpZCpdBRy+Le7JuOf6HkXuf/fpXdn0+8/v27kmRGRvDJCISFZKeooi9z0Vdwpzjs+RdGOpAyV7qzyzsmz6k5dPuGgkUS7HAImIZKVkKBMg1fm1Dvps7oOiE7WLwP56/FdF6pKcliybvv3KdqPBExHlDgyQiEjWy/SX2HVtF1osaoFLDy8pXR2b+/v234jaE4XUDOMr7Leu0NrouVuJtwzGKBFR7sF1kIhIVkp6ClouaQkA6L62O458diRH7zfx4ET8cf4P2XMF3AvY/H4N5on7Pfp6+OLrhl8bnE/PTMe9Z/dMlpGclpwjdSMi5bEFiYhkPU9/rjk+evconrx8kqP3G7JrCI7ckQ/CnqU+y7H7rvhvhUFaakYqQqJDstx77eCtgzlUKyJSGgMkolzk5pObaL6wOdadX2dWflMDjX//93fJ8yWnl2iObzy5YbJrKicYm1FmjQO3DmiOj909hoTnCZLzHmM8cO7BuSzLYesRUe7FAIkoFxm5dyT23dyHd1e9a1b+bZe3mV32l9u/xMaLG6EapULZn8ui9VLj43MslZGZkWWeF2kvbHa/JguaSJ4Xn1Qcmy5usricHVcNN8wmotyBARJRLvLwxUOL8pctXFZzfOjjQyjlU8pk/nYr2mmOd1/frTlOTk1Gqaml0HN9T4vur2ZO951KZZt90IxtrfLOincAiGOPzPXDXz/YpE5E5HgYIBHlEplCJjZf2qx5npaRZtH1DYIaIHZQLE71OWX2NZsvbYYgCKgVXQt3nt7B4tOLoRqlwsPnlgVqR+8ezTLPtsvb0Gl1J4sCGH1PU54i6Kcgo+dfpL3AodhDkrS/PvrL6vsRkfNigESUS8w7MU/y/GnqU9l8aRlpeP+P9zHn+BxN15Zuy1GQr/EAQl/b5W3h8oOLwca2poIQOca66zxcPTR1+2LbF1hzbg3cRrtZVLausfvHmjw/88hMNFvYTJLml9/P5DWqUSqM3jfa6joRkWNigESUS/Te3FvyvM/mPrL5Vv23CsvPLkefzX0024m4qLRvBQXdC2a7Li/SX+DKoyuyg8DTM9PRcVVHjNs/LstyUjJSZLvEKs2oZNWg7QkHJ0iev1nhTcnzwbsGS57X9KuJ8kXKZ1lu1N4oi+tCRI6NARJRLiDXnbbm3BqDtNSMVAzcPlDzXC5AcnO1voVGV8UZFeE11stgMcXNlzbjj/N/YNjuYQCA72K+M1qGh6uHbPrlR5dRcmrJbNdxY9eN+LDWh0bPn/r8FPK5cLk4oryIARKRk7mddBvVZlXDzCMzNWn/xv8rm/f64+ua4483fAyPMR6SgdzLziyTvc7NRRok/db2N7Pq9mf3Pw3Srj6+CkAcyP3uynfx2wltWYdjD2P8gfFGyxvedLhZ9zXXu1W1s/v++ugvuLm6YXGHxbJ5D/Q6IAkc1Ur7lkbEqxGSNLl8ROTc+FdN5AQyMjPQfW13TDk0BVF7onA+4TwGbBugOe/t5i17Xbnp5XDzyU0AwIJTCwzOTz8yHYC4rpEud1d3yXPdbqZ7X8uvLr2x60a0CG5hkF5xRkWoRqkw+dBkrLuwDlsub9Gce3/t+7JlqWU1q85S8c/iAQBda3RFkzLaqf5Vi1U1yFuvZD3ZMrZ/sB1lCpWRpKlb4ogo92CAROQEXpnzCpaeWYpvdn6DM/fPaNJT0sUNZSNjIjVpRb2KSq4N/jkYFxIuWHQ/AdJusebBzfFe1ffwfbPvEVAgQPaaGn414ObqhjYV28ie/37f9wZp+oGZvg9qfoBZb80yXk8L9kL7/d/fcTBWXPm6c7XOknP/9fvPIL9+kKhWtXhVgxY2Isp9GCAROQHdLrSklCTNsXp6/IaLGzRp97+9b3B90wVNLbqfXIvIms5rMLL5SKPXBBcKBiAObLbWyo4rAQATwicgcWgi3FzdUNy7uNH8c47PkTy/n3wfK86ukB2T9eE67Vgj/QBQpVIhuk00eoT0wGtlX5MNmHTprh+lZs5il0TkPBggETkZ3UHDw3cbjtGRGw/z4PkDi+5hzZga9UKOH9T6wOJrAaBluZboXL0zhJECBjcaDB8PHwDGW3IA4PMtn0uev7X0LXT7o5tkBl9GZoZBS1PLci0NyupTtw8WtV+EmB4xqFa8msm6tirfyiAtO+szEZHjYYBE5GQqFqmoOd53c1+O3GPFe4YbuMoZ//p41A6ojf71+mvSavjVwMauGy2+55Q3psim/3PnH7PLOH7vOABxvJVqlAqqUSrkG50PLj9I3+oKemRvKQO5Vb2fpz2XyUlEzooBEpGT0e1O03f4k8MAYNFq2HLaVm6Lp5FPcbLPSWRGGR+A7J/fHyf7nMTMt2ZK0ttWbovJLSfLXtO4dGNULloZOz/cCReVC76o9wVeDnuJmv7yXXP6A6jbVmoreX7jyQ00nNcQP+wzb9uP2W1mm5XPUotOL8qRcolIGVzggygXKVtIHBsTEhCC1OGpcB9jvHsqKwXcC6B2QG3Zc6Oaj8KeG3vQrWY3o9d/FvoZvtn5jSTt0heXULGotgUsIyrrcTuvlnpV8nxjt41ouqAp9t/aDwCoO6cuHr54iMO3D2dZFgDU8q9lVj45ugPUY3rEYNbRWVh7fi0A42s2EZFzYgsSkRN7r+p7kue6XT9urm54POSxWeXUL1nfovtGNYvCnp574JnP02geHw8fPI18im0fbMMvb/2CGwNvSIIjc1UsWhGrOq5CYIFALOmwBAAwpNEQAOKAcEs36C3mXcziOqgV9iysOX6t7Gv4o/Mfmuff7Ta+4CUROR+2IBE5sQzBdAuMr4evWeXs7rHbFtUxUMC9gMF2HtboVL0TOlXvpHmuDsx0lzwwV3YCJFP/3k9ePrG6XCJyPGxBInJiiS8TJTO0VJAOHlapVGYNuM7vnt/mdctJuksd6GtbqS288nnJnivgXgBFvIpYfV8uCEmUdzBAInJwpqaP77mxB4kpiSav71KjC071OYVz/c7Jnv+i3hfZqp8SUjJSjJ4L8Q/B82HPIYw0XERy+pvTs3VfrnVElHewi43Iwe2/ud/k+ag92p3k5aafA+KgbUCc5bbvxj4MjRmqOVe1uOE2G45OdyyQWtMyTZGRmYFBDQZp0uK+jkP0sWiUL1Ielx9exochxjemNaVX7V5YcGoBRjYzXCjz9w6/o/u67mhcurFVZRORY2KAROTgXqS/MHl+xpEZZpf1aqlX8WqpV9G4dGM0XiB+oJsaaO2oWpY3XOhxb8+9BgGifwF/k6t/m+u3d37DyGYjDfZgA4BCnoUAAC/TX2b7PkTkONjFRuTgZh8zvW6Pf35/zbH+GCRj1C1Kzkp/pe/VnVYbbT2z1f3kgiMA8HITxzu9SDMdyBKRc2GAROTgtl3eZvJ8fHK8xWV6u3lrji3Z8NVRdajSQbF7q/8tuZI2Ue7CAInIwam7cMxhbiuKbguM/satzsjVxVWxe6tnzF1/cl2xOhCR7TFAInJwvWr3ytHyuclq9ui2xh2ONW81byJyfAyQiBxcKZ9SAIAu1bvAVSW2lOR3y4+Pan9kkNea7S6MrRlE5lGPQQKAJf8uUbAmRGRLDJCIHFxaZhoAwN3VHft77cerpV5FTI8YuLm4GeTVbc3Iys9v/ox3Kr9jcj81yppugJmakapgTYjIlhggETm4lHRxUUR3V3c0CGqAw58cRlipME1rki5LZnJ9GfYlNnTdAHdX6ze0JWlQmtWinUTkPBggETm4Z6nPAIjbZOjSH1wd5BNktzo5EnP3m8spuutI6f8fEZHzYoBEedalh5cwfPdwPH5h3o73SlEHSAXdC0rS9btzRrcYbbc6ORIlZ7AB0la7hacWKlcRIrIprqRNeVbj+Y3x4PkDXHx4Eas7rVa6OrIyMjMw8+hMAFm3TnSv1d0eVSIiyhPYgkR51oPnDwAAf938S+GaGDfr6CzNsakAqVFQI8VbUpSidBcb5Q7JqcnovLozVpxdoXRVyEE4RIA0a9YsBAcHw9PTE2FhYThy5IjRvM2bN4dKpTJ4tGnTRpNHEARERUUhMDAQXl5eCA8Px+XLl+3xUohs6vpj7eKDT14+kZzTHYO076N99qqSw9jYdSNq+NXA2i5rla4K5QJTD0/F6nOr0e0PcVZn/LN4hC8Ox8WEiwrXjJSieIC0cuVKREREYOTIkThx4gRCQkLQqlUr3L9/Xzb/2rVrce/ePc3j7NmzcHV1RadOnTR5Jk6ciOnTpyM6Ohr//PMP8ufPj1atWuHlS24mSYbuJ8v/rjkCN1ftVP5HLx5Jzg2oPwAA8Halt/Nk61Hbym1xpu8Z1A6orXRVMKbFGKWrQNl06PYhyfOAKQGIuR6DKrOqKFQjUpriAdLUqVPx2WefoVevXqhWrRqio6Ph7e2N+fPny+YvUqQIAgICNI+dO3fC29tbEyAJgoBp06Zh+PDhaNeuHWrVqoXFixfj7t27WL9+vR1fGTmTB8kPlK6Cgehj0Zh0aJLmuUc+6SKQrwS+goeDH2JD1w32rhrpebvS2wCAgAIBCteErLX9ynbNcaaQqWBNyFEoGiClpqbi+PHjCA8P16S5uLggPDwchw+bt2T/vHnz0LVrV+TPnx8AcP36dcTFxUnK9PX1RVhYmNEyU1JSkJSUJHlQ3vJv/L9KV8FA3y19Jc/lVrwu4lXEYGd7sj91Cx4/WHMH1x/yXouspZ6mPMXmS5tx88lNpauSYxR9Z01ISEBGRgb8/f0l6f7+/oiLi8vy+iNHjuDs2bP49NNPNWnq6ywpc/z48fD19dU8goLy5noyeVlKRorSVZB4mvLUIG1A2AAFakLmUAepGZkZCteEyD7eXv422i5vi+Cfg3H10VWlq5MjnPqr57x581CzZk3Ur18/W+VERkYiMTFR84iNjbVRDclZONqGrYtOL5I8D/IJQiHPQspUhrKkXtU8Q2CA5Ix0J0PISXzJFdL16c7+/XzL5wrWJOcoGiAVK1YMrq6uiI+Pl6THx8cjIMB0X35ycjJWrFiBTz75RJKuvs6SMj08PODj4yN5UO6mv8iiowVI957ekzxvXLqxQjUhc7CLzbnturbL5PlCEwrZpyJOSvff73na81zzd6BogOTu7o7Q0FDExMRo0jIzMxETE4MGDRqYvHb16tVISUlB9+7SxfHKli2LgIAASZlJSUn4559/siyT8g79ACkpxbHGna2/uF7yXHc2GzkedrFl35zjc/Dhug8V+bLi5WY4vo8sF/8sHvnH5Ufrpa2VropNKN7FFhERgblz52LRokU4f/48+vbti+TkZPTq1QsA0KNHD0RGRhpcN2/ePLRv3x5FixaVpKtUKnz11VcYM2YMNm7ciDNnzqBHjx4oUaIE2rdvb4+XRE5AP0Dqvam3QjWRd+7BOclzNxcGSI6MXWzW+/v23ygyoQj6bO6D3//9HYtOid3L3+74Fn039zV63bXH1/Ay3TZLt3i4emSdiTQEQZBNX3pmKQBgx9Ud9qxOjlF8q5EuXbrgwYMHiIqKQlxcHGrXro3t27drBlnfunULLi7SOO7ixYs4cOAAduyQ/08YPHgwkpOT0bt3bzx58gSNGzfG9u3b4enpKZuf8p7k1GTJ87TMNIVqYh4GSI5N3cXGFiRDSSlJKOheULJnna4G86Qt+9/s/Abv13wfkw9PBgBENolEad/Skjzv//E+lp9dDgA41ecUQgJCslVHbzfvbF2f18h9EWi7vC1q+dVSoDY5RyUYCwXzsKSkJPj6+iIxMZHjkXKhf27/g1fnvWqQLox0nD8F1Sjph8mA+gMwvfV0hWpDWbn79C5KTi0JV5Ur0qMcazybkqKPRaPvlr6oXrw6zvY7K5tH/3ddXxnfMrjx1Q2T17wY9gKe+az/Atx2eVtsvrRZkjay2UiM2jdK8/y3tr/hk1c+0b80T3r84jGKTCxikF7Is5BmxX+l3k9t+fmteBcbkb11XtPZIO31sq8rUBPz6XcJkmNhF5s89Vpe/z34z+Bc/LN4TDgwIcsybibexKJTi3Ah4YLRPBsvbrS+koBBcAQA3zf/HtWKV9M8/3TTpwZ58qrnac9l0/W3Q3J2DJAoz7mVeMsgrWqxqvjr5l84ee+kAjXK2q/Hf1W6CmSC7lYvuWUGj63pd1Z0XtMZQ2OGmnXtRxs+QtVZVbH18lYETDacjdxlTReoRqlwKPaQzNWW+eujv/Bi2AsAwPou66X1WP8RKs2ohNtJt7N9H2emHvtlagPt3IABEhGAe8/uodnCZnhlzitKV4WckO5q5gyQ5D1LfaY5nnlkpmQdHQD4KuyrLMtos6wN4pPjjZ5vNL8RUtItW/T1wK0DkudNyjTRdNfld88vObfo9CJcfnQZ/bf2t+geuUm3P7rhnRXvAMj9Y7cYIBEBkm+EjrYmEgBUKlpJ6SqQCeouNoADtXXVL6ldxPdF+gvEXItBm2VtMGCb4arwP735E+a/I78HpzHtKrczSPMc64n5J80v57uY7zTHrwRKvyAZ28Zn48WNuPb4mtn3yC0SnidgxdkVmlm2DJCI8gDdLhJLv4HaA2exOTbd3x9bj0OKfxaPjqs6Giz94Ax0B05XmF4B4UvCsfXyVoN86g2Xe9XppZmxNrjhYPz10V8GedVGNR9ldHPgTzYaH0ydkZkh+RvXbZH69W1pV7apL0vlp5cHANSfWx+qUao80XKoPxbS280bs9vMVqg2OY8BEuVpRbzEmRgqaGfF2GptFVvS/QAmx5PdLrb0zHQM3TUUN57cMDgXMCUAf5z/A9V/qa5Jy8jMwPDdw7Hvxj7Z8uRWij8TfwbzT87H1stb7fY7rtuN9jTVcH9BAFj+3nK8U/kdzfObX92EMFLAhJYT0KRMEzwe8hgjmo4wuC6qWRQmvzHZ5P1T0lMk/x/pmemo/kt11P61NtIyxKU9ggsFa86r3w/U5DaI1qUapcLRu0cBAFVnVTWZNzfQH0fmlc8Ln9c13GbExyN3zP5mgER5TmCBQM1xZGNxEVLdb/1yHx7vLH8HzRY2M7pAmq3pL1z3Zvk37XJfso45XWyj941G5C7DRW8BwG20GyYcnICyP5eVpOv/vj1IfoBx+8ehVnQtjN0/Fs0XNcfa82sleVSjVPAY4wHVKBW2Xt6KenPrwW20G2pF18InGz9Bm2Vt4DXWC9/u+NaKV2pbwkgBXWt0NZmnkGchdKvRTZKmbnEq4F4AKzuuRJViVQyuU41SwXOsJ1x/cNUEngnPE3Dx4UVcSLgA9zHuiNoTJVnUsFzhcpIyinoX1dwrK5ceXkLUniiz8jor/cD74YuHAJCtJRYcmeILRRLZ271n4j5npXxKaT7YdP/wz9w/g5I+JfHf/f8w6dAkjH99PDZd2gQAuPLoCioWrZij9buddBspGdJuvu+bf5+j96TsyaqL7X7yfUTtFT88KxerjF4bemnO6W9CnPgyEb6evgCAflv6Sc75TfYzKPu9Ve9p1py5mHBRcq7NsjZG6zz58GS0qtAKmy5uwoSWEyz+kJtzfA5O3juJmW/NlG3hzOrLxI2BN8y+V9Xi0taZtyu9rTnuXL0zOlfvjJfpL+E1Vr7FRz/wVBv912jN8TcNvpHNo9u6BQDz35mPjzd+bLS8/vX6w7+Av+x5Z6cenK2mDjzltm66n3wffvkNf1+dCVuQKM+6nXRb88auOyZBvY9Qjdk1sOj0IpSYWkJzzh57tlWcYRiAca8ox6bfxbb8zHKciT+jSbv88LLmWDc4AgzXjlFvjJqSnoLo49Fm3X/+yfmYcmgKqswybEkxpeWSlph+ZLrRwELO87TnuJV4C30290H08WgUm1QMAHD0zlFUmlEJ+2/uR/yzeLj8YPzjpWmZpihTqIxFdd3RXWzp8fHwkR087ZnP02BaviX+vPqnWfm61exm8nzAFNMbrTuzs/flF/uU61busa5HTlcnx7EFifI0uRYkAPAeKz87w9g4Cl3qb87GtlbIiiOOgSLTdD+wt1/Zjg/XfQgAyIzKxKWHl7Do9CKLyssUMuE51vwWHVODknXt77Uf269sx9j9Yw3OTft7Gmr41UB4uXDEP4vHrcRbqFeyniTPy/SXyD9OOvX9ycsnkpWtmy5sarIODUo1wKZum8yqr67wcuFY3H6xwbYjulqUbWFxuWq6i0Ka4pnPEwc/PohG8xtZfa/cIsTf+BYv5gacjowtSJRrTft7Gr7f+73JPOoWpMuPLkvSX6S/kM0/+1jWMzbarWiHar9Us1mgY6zpnxzTrKOzNMcuP7igyqwqmHtibpbXfVpHu1Kz/iatr5Yy3BrHUuu6rEPj0o0xpNEQ2fOD/hyElktaQjVKhYApAaj/W33MPDITgPgFovH8xha1NBkzuNFgqwbxqlQqfBjyIZoFNzOaJ79bfqPnstK/nvG1jXTHmAFAw6CGONlHXFR2TIsxVt/T2Z2OP23yvCPOCLYEAyTKleKfxWPQn4Mwat8oSfeGeuYKAHxQ8wOLZxyt+m+V0XMv01+iwbwG2HRpEy4kXMCe63ssrzik32QfDn6IiS0nWlUOKePqo6sW5Z/ZeibuRtzFqBbafb/mnJgjyfN9s+/x/LvnSBuRhtEtRusXYWDeO/Mkzxe2W6hZM6igR0Gz6zZg2wDcfXoXHmM8cDD2oNnXqfWr288gaNGfgGBLri6uePDtA6uu1V8UUlfC4AQUcC+Asa9pW95qB9SGMFLAsKbDkPxdMioUqQAg968uLadx6cay6XHP4uxcE9tiFxvlSuqdvgHg0YtHAMRuixVnV2jSZ7SeYXEzefPg5kbP1filBq4+1n44vrXsLQDiYFRLxluElw3XrHmjP+2YHN+D55Z9QPevn/WqzC3Lt9R04w1vOhzDmw4HYHyj1+61uqNeiXpYeGohJracaDCIWhgpIFPIhIvKBQXHF5Sscq2v5NSSsunHex9H6JxQzfNz/c6havGqSE5Nhmc+T809v274Ncb8NQYLTi0AILa+5KRi3sVw9LOjqDe3nsE5YaSA1IxUuLu6G/zb1Q6obbTMQp6F8DTSePe6t5s3try/BZVnVkY+l7zzsaoORtd0WoN5J+ehctHK6Li6o+a8s+8hyRYkypXKFy6vOVZ3l7n+4Ioe67UDBwt5FpKsgWKOvTf2Gj2nGxzp+nanZdOp1YvTya39Qs5NGClgR/cdONP3DKa1moY/u0vHaUS3MRyUHTso1uiKzjE9YhDkE2RwD3dXd9T0r4kpraYYXUNLXebTyKcQRgpIGpqEn9/82azXcbbvWbwS+AoyozKxqdsmPB7yWDPTLL97fsk9yxUuh/nt5iNleAqShiZpZujlpNDAUHzX+DvMaD3D4Jy7qzsAcRarWmZUptF/Y3Opr88LC0aqFfMWB+j7F/DHd02+M1i4c88N61rRHUXeCXUp1xMEAcN3DzfYLuCTjZ9g0KuDDPKrVCoMenUQtl3ZZtF9+m3ph9EtRqOod1FN2uMXj43mt3QDTfUU/6wWqSPn1LJ8SwBADb8aBuf61O2Dz7doF957/t1zkzMYXyv7Gm4NumW0JckSBT0KYkD9AWhWphn+uvkXXqS/wJBd2vFK3m7eOPTxIaRlpqG6n7hopUqlkky5N8Xd1V0TnOQ0lUqFsa+L3WGr/luF/bf2G4y9ih0Ui9jEWBTxKmL1hApdeTFA0qe/xEWfzX3wWtnXNN2PzoYBEuUaO67uwLgD4wCIM2XUrj2+Jrv3E2DdeIHZx2Zj9rHZiB0Uq/kWGvZbmNH8d57ewcl7J1EnsA4AYOLBifj9399x8OODBuNBUjNScenhJQCAR76cG6tB9jez9Uyz8gkjBQiCYNGH9tm+Z1Fjdg2s6mh8jJw5VCoVQgJCEBIQghtPbkgCpBXvrUBIgPFZS45q8/ubse/GPrSq0MrgXJBvkMwV1mGABNl1j648usIAiUhpGy5qV7w9fPuwWdeY+nbeMKihydafoJ+CNGMa9GfB6XtlziuaxfzUHzo+P/po0tSaL2yuqXtuXZ02r2lfpT2WvbvMorWsLG3RqO5X3eB3KbuCCwVjXZd1+O3EbwguFIw2lYwvOunIfDx80LZy2xy/jzpAyiubFcst1SC7ojmy3zqnFAZIlGuYMwVfn6lurIXtFqLSzEomr3/84jGKTDR/ILX+YNhHLx5JBmLrBnY5OduH7GdYk2FOu9Bn+yrt0b5Ke6Wr4RTUSwHkhRakOW/PMbtrNbtju5TkvDUnyobvGn8HwHQLkjnToTus7CCb/uvbv6JjtY6StALjCqDgeGmZCc8TAIjjp/SXEDh291iW9yfH5+uR84OSSXl5oYtNvWTD6+VeN/saW4zvUgoDJMqTXiv7GgBpK41+P7lnPk/s77XfZDn7bkp3U6/pVxPCSAG9Q3tj2bvLJOeS05INrn+e9hwAMPnQZHRZ00Vy7mUGV9TODXLLzuZkWl4IkAT8f5cAC7rNnLmLjQES5TlvV3pbsyWB7iBt3Wm/gBg8NS7dGEc/O4qEbxPMKnvam9M0x26ubllu1vg05SninsVh8K7BBueqFqsqcwU5G0sWZiTnpQ6QBAhZbtTrrMzZRunH13+UPGcLEpED6Fqjq1n5VndarXkz0109V39RRvUssrol6qKod1Hc/+Z+lmWrW6bUbgy8gaZljO9N9TT1KQKnBMqeGxg2MMv7kWP7ofkP8HaT39ePchfdsTbqlpbcxpwWpCGN5beycUYMkCjXMHcFW2ODnz1cPfBJHe2mn/qDC4vnL46NXTcaLVd/zBEgjnEqWVB+JWIAuJ1023g9Oc3fqQ1vMhwjmnGxz7xC9/0it85ks2YjbvXCt86IARLlGhcTLhqkxX8Tj7099yKmR4wmzdgft0c+D4SXCzd5j7TMNKPnlr67VDZdvdWJWotg7Y7jfTb3MXk/cl72WhSRHIMkQBJyaYBkxRgkZw4WGSBRrnH07lGDNL/8fmgW3AyvlX0N0W2isfX9rUavd3dxl2wUK+fNCm8av97IB2K3Gt00x0c+PYLdPXebvMevb/+KzKjcO9Azr3Dm6c1kOd3tVdZfWK9cRXKQNS1Izhwsch0kcjrXH1/H3ht78VHtjzR/qHeS7hjku9D/guR5n7qmW2vcXd1Ry78W/uj8h8GAbTVvN28sar8IaRlp+HTTp2bVV/eDsl5Jww001V4Oe4l8LvmM7p1FzsWZB6eS5XT/zi8kXDCR03nltRYkBkjkdMpNLwdA7Lr6uuHXAIBa0bU052e9NQv96vWzuFz1GKZ3q75rMl+PEHHDW3MDpFr+tbLOBI45ym3aVsr51ZvJcegGSMmphkt65AYcg0TkJL7Z+Y3mWHecT1YBjjGWttzojmsytdZNSEAItr6/FWf6ntGkbf9guyRPucLlLLo3OS5fD19cGXAFNf1rKl0VsiNJgCSz5lluYFULkhN3sTFAIqdy/sH5LPNYuzCfubPg1F4r+xou9L+AztU740CvAybztq7YWrJ7u/5Yp50f7rTo3uS4fD19Ub5IeaWrQXaWJwIka8YgsYuNyD6G7xmuOf489HMAQEp6iiSPqf3VTLE0QAKAysUqY2XHlRZfV8izkOS5qaUAyLlwcHbepPv//jTlqYI1yTnWtCCpu9hW/bcKaRlp+KDWBzlSt5zAv2RyKm0qancUVy/AN//kfEkeSwfHFvMuBgB4p/I72ayd+Qp6FJQsIMnxR7kHu0vzJt2gQb2FUG6V1Xvs2b5nNccZQgaSU5PRZU0XdF/XHfeTs15w11EwQCKnorvatXpNon5btQOy7319z+Iyr355FWf7nkX9kvWzX0ELLG6/2K73o5y1t+dedKjSAYvaL1K6KqQA3aAhN85g1N0+JasWpOp+1dGgVAMA4gzjm4k3NefuPbX8PVop7GIjp5KWoV2occaRGQbdaQEFAiwu08fDB9X9qme7bpYqU6gMDn580GCLE3JOzYKboVlwM6WrQZQjdLdPMScAPHz7MABxWESTMk006ZExkdj6gfH16BwJAyRyKluvSP+wJh6aqFBNbKNhUEOlq0BENrb9ynYcvHUQhb0KZ7n4rLOwpAVJn26XY1JKks3qlNPYxUZ2kZKeYpO+54WnFma/MkREOUC3Rbvxgsao/kv1XLOqdnY24H2R9kJzfDD2oC2qYxcMkMguQqJD4D/ZHzee3FC6KkREOWJEU8PNiXus66FATWxP0oJk4Rgr3TFIzoQBEtnFxYfiRrJbLm3JVjn1ShjfquPql1ezVTYRUXbILRXyNDV3TPmXjEEyo4tNvSl3Lf9aGL57uOTce6ves23lcggDJLKr7DTTAjC5AB+nVxORknLj7DU55rzOVuVbAQBCA0PRPLi55Nza82vxMv1lTlTNphggUY7IFDI1TbK6K6neSrxldZnnHpzDirMrsl03IqKcINey0q5yOwVqYnuWDtJWb910Mu4ktlw27DmoN7ce9t7Ya7P65QQGSGRzgiCgyYImqDe3HtIz0yXL7k86NMnqct9Y8obRc/3qWr45LRGRLcntO1ahSAUFamJ7lk7zd1WJAdKpuFOy58/eP4sWi1rYpG45hdP8yeaSUpJwKPYQAODu07uStYuy487TO7Lpqzqususq2EREcn45+otBmjN0JZnD2hYkUyoVrZStOuU0tiCRzSWmJGqOXVWuqP1rbcn5YhOL2Wy6/rou69Cpeidu1UFEipObrXX07lEFamJ71rYg6Vr+3nLJ838//zf7FctBigdIs2bNQnBwMDw9PREWFoYjR46YzP/kyRP0798fgYGB8PDwQKVKlbB1q3bxwIyMDIwYMQJly5aFl5cXypcvj9GjR0uiX8pZuguBpWem41nqM8n5hy8eoteGXtm6x6L2i/A08inaV2mfrXKIiHLSkTumP9OchS1akLpU7yJ57uhfbBUNkFauXImIiAiMHDkSJ06cQEhICFq1aoX79+UXFExNTUXLli1x48YNrFmzBhcvXsTcuXNRsqR2J/QJEyZg9uzZmDlzJs6fP48JEyZg4sSJmDFjhr1eVp6nGxAF/xxsNJ//ZH+LyvXx8NEcf1jrQxRwL2Bx3YiI7C3uWZzSVcg2S1uQ5JY8UKlU2NB1AwBgYrjj74Kg6BikqVOn4rPPPkOvXmJrQnR0NLZs2YL58+dj6NChBvnnz5+PR48e4dChQ3BzcwMABAcHS/IcOnQI7dq1Q5s2bTTnly9fnmXLFNmOuWOO7iffx8FbB9GodCOz8nep3gVzT8zF6Baj88x0WiJyfoFTAiGMdM5eDEEQcDvpNgp5FtKkmdWCJNPFBgDvVH4HjwY/kpTnqBRrQUpNTcXx48cRHh6urYyLC8LDw3H48GHZazZu3IgGDRqgf//+8Pf3R40aNTBu3DhkZGhnDjRs2BAxMTG4dOkSAOD06dM4cOAAWrdubbQuKSkpSEpKkjzIemmZ5g/KbrygsdmLR6ZmpAIA3F3draoXEZFSbDVZxZ7239wP/8n+KD2tNEbs0a4SbtYYJL0uth3dd2iOC3sVdoovuYoFSAkJCcjIyIC/v7Sbxd/fH3Fx8s2R165dw5o1a5CRkYGtW7dixIgRmDJlCsaMGaPJM3ToUHTt2hVVqlSBm5sb6tSpg6+++goffPCB0bqMHz8evr6+mkdQUJBtXmQelZ6ZblH+t5e/LZu+8+pOlPu5nGbtI3Xg5ebilr0KEhHlMM98npLnWy87xw72upoubIoHzx8AAH7+52dNujUtSHVL1LVt5exA8UHalsjMzISfnx/mzJmD0NBQdOnSBcOGDUN0dLQmz6pVq7B06VIsW7YMJ06cwKJFizB58mQsWrTIaLmRkZFITEzUPGJjY+3xcnItY9+U/v7kb7PLeJH2Am/8/gauP7mObn90Q3pmuqZcN1cGSETk2Fa8J13Utv3K9jgcK9874mysaUFyxjGjigVIxYoVg6urK+Lj4yXp8fHxCAgIkL0mMDAQlSpVgqur9h++atWqiIuLQ2qq2P3y7bffalqRatasiQ8//BCDBg3C+PHjjdbFw8MDPj4+kgdZz1gLUlipMAgjBUS3iZY9r3bp4SXN3m1qiS8TsfrcagDSWXJERI7iRO8TmuPGpRsbnG84v6E9q5NjjI0v0qU/SNsZv9gqFiC5u7sjNDQUMTExmrTMzEzExMSgQYMGstc0atQIV65cQWZmpibt0qVLCAwMhLu7OC7l+fPncHGRvixXV1fJNaSVnJosCTh6rOsBjzEeku1BLCU3BulUn1Oa4z51+6CIVxHZa889OIfKMyujzq91JOnFJhXTHHO7ESJyRHUC6yD+m3ikDE9xyoBAl6mlccxZBNKcIMrRKdrFFhERgblz52LRokU4f/48+vbti+TkZM2sth49eiAyMlKTv2/fvnj06BEGDhyIS5cuYcuWLRg3bhz69++vydO2bVuMHTsWW7ZswY0bN7Bu3TpMnToVHTp0sPvrs4f4Z/FYcHIBHiQ/wLG7x9B9bXfNYOasCIKAmrNrotjEYkhOTYYgCFjy7xKkZqQi3+h8khVgd1zdAdUoFQZtHwQAOP/gPB4kP5AtV64FqZZ/LcnzMS3GGOQBgOhjpluXAOCHFj9kmYeISAl++f3g7upudDJJvy39MOXQFDvXynLmfo4YY04Q5egUnebfpUsXPHjwAFFRUYiLi0Pt2rWxfft2zcDtW7duSVqDgoKC8Oeff2LQoEGoVasWSpYsiYEDB2LIkCGaPDNmzMCIESPQr18/3L9/HyVKlECfPn0QFRVl99dnD2/8/gb+jZeuRrr0zFLc/OomSvuWhiAImHxoMl4JfAWvl3tdk+dO0h2U+qmU5nnRiUUxt+1cSTld13TFiKYjUHeudnDdtH+moah3Uc2MhtThqVh8ejHCy4WjTKEyAOTHIOn3WX9e93P02yrun1a5aGUAwLrz6zDjSNbrVanzExE5KmOTSWYfmw0AeLfquyhbuKw9q2QR3T00rZEbWpBUApeYNpCUlARfX18kJibabTzSg+QH8PX0hburOzqu6ohHLx5hV49dcFGZbuRTjTI+WG5j140o6FFQsyHg+NfHY/ax2biVeMumdVd7MewFPPN5Yv7J+fhk4ycIKxmGk3En0aR0E+zqscsg/4YLG9B+ZXsAQNlCZXH9yXWDPAvaLTBYdfvWV7cQ5MuZhkTk2Ey9Py9otwAf1f7IfpWx0K3EWygzrYzsOXPWdNp+ZTtaL9Uur2OvdaBs+fntVLPYcqt5J+bBb7IfPMZ44N2V7+KP839gz409uJggDlTOyMzAgVsHMHTXUHy0/iOoRqk050x5Z8U7SHyp3RctMiYyx4IjAPhw3YcAxHFNAFCmUBk8HPwQf3b/Uza/t5u35lguOAKAniE9DdICCwZmt6pERIoq6F5Q6SqYpH4fL+xZGEvfXapJH9rIcBFnObqDtM29xtEo2sWWl6kb7lx+kMao6y6s0xxX+6UaXFQuyBQMB5hXmVXFrPuoW2jsYc25NQC0W40UcCtgcmrn87TnxsvqtAYtyraASqWCX34/3E/Wbj8jt4Q9EZGj2fbBNqw7vw5zTswxONd/a3+8V+09BWplHnUXWwH3AuhaoysWn16MqsWqYny48RnhunS72Jxxij/AFiS7u/LoCvps6gOXH1xQcmrJLPPLBUe29nDwQzQr0wxe+bzwcPBDnO17VnK+U7VOWN1pNTKiMhDZOBINSjUw2ioEAI9fPgYg3TtNjqlBgO9Ve08z021NpzXmvhQiIofxZoU38WvbX1HDr4bBufjkeMw/OR/xz+JlrlSe+otufvf8cFG5YHv37fjpzZ/Mvl53kDYDJMrSnaQ7qDijoubbxL1n92xWtnrgcqOgRpjdZrbJvBu7bsSDbx8g7us4CCMFFPEqgr0f7cXzYc9RxKsIqvtVR+pwbfBSJ6AOOlbrCBeVC8a9Pg6HPjmEN8q/gTN9z6BOQB2D8qcengoAmkHbxqRkpJj12pqUaWJWPiIiR3T689Oy6Z9s/ARNFmT//U13KPHmS5ux5dIWHLt7TPIFO/FlIlouaYl5J+YBAA7HHsY7y9+RzFbWpe5iy++W36o66bYg5Xe3rgylMUCyo2N3j5k8X8y7mMnzxtwedBvbPtiGQa8OwvL3luPzup/L5hNGChBGCmhbuS2KeReDfwF/2XyAuKjXuNfG4ZXAV9C3Xl/ZPDX8auBEnxMY3HCwJm3r5a3IEMQ1lLLaM82c5erVZr01CwDw69u/mn0NEZEjMDXZ5vKjy9kqu8SUEnD5wQXJqclIeJ6Atsvb4u3lb6Pe3HqYeHCiJt/EgxOx69oufLrpU2RkZqDh/IbYdGkTqv9SXVLe87TnePTikaSLzRq6LUjZWVdPSQyQ7EiA/Cj+uiXqokKRCoj7WrsHXYvgFgb59vTcg7N9z+Jp5FMsar8ITyOf4uHghyjpUxJlC5fF1FZTNbO7rg+8jrWd12qurVS0ksX1jWwSieO9j2e563LP2tqB1G2WtdEcd6hieu2pVhVayaav7rTaIK1fvX54OPgheof2NlkmEZEjeruS/J6T2aXuiVj530okPE+QnPthn3bNuHEHxmmOS0wtoTm+9via5Jra0bURMDkAC08tBADsu7nPqnrptiDtuLbDRE7HxdGudjT6r9Gy6Uc+PaJZJ0gYKeBW4i0EFghEWmYaqs2qhiDfIOztuVcSkfcI6WHyXsGFghFcKBiXB1zGz3//jG8bfWu7F6LH2KrYfvn9TF4n12J2vv95VCkmPwDd2H2IiBzdpm6bTE77t4Zu19rFhIsGay8Z+1KuO+kFEFuNvN288fD5Q02L1rYr27JVN93JNB6uHtkqSylsQbKjqKbyi1XqL6JY2rc03Fzd4O3mjcsDLhsER5aoUKQCZrw1A6V9S1t1vTkCCsjvnWdOnYt6FZU8Dy4UbIsqERHlerrjhyYemqhZhFL3/Ml7J7MsZ/KhyQCAzzZ9ZnCuV+1eBmnm0J2Ew0HalKV2VdpZfI2bq5tTLtk+9rWxZuU7/MlhSfDmmc8zp6pEROSQrB2jo79USqvyhsMWXpnzCv67/5/JckbuHYn9N/dLlplRa12htcwVWdPdk/PH8B+tKkNpDJDsLG1EGq4MuILer4hjaQbUH6BwjXLGtw3N69KrWLSi0ZY1IqLcZHab2fiy/pcG6YdvH7aqPP0A6dGLR7L59t7Ym2VZTRc2lU1vU6mNbHpWdLv/shrH6qgYINlZPpd8KF+kPGa/PRtXBlzBz2/+rHSVbOLKgCua4ylvTLFoJ2v9jWyJiHKjz+t+jp9bG77nWzvV/0X6C8nz6Uemy+Z79OKRRbOG1T4P/Vyy44G1stoyy1FxkLZCXFQuKF+kvNLVsJnyRcrjTsQdHLx1EB2qmp69pq9eyXrY3G0zyhUul0O1IyLKfczdOipqbxRKFCyBu0/vatI+qv0Rzt4/K7v8zINvH2Dt+bXoUr2L1XWzZua0o+FmtTKU2KyWiIjyhqX/LsXXO75GfLJ2Fe3jvY/jlcBXNM8fJD9AMe9iBpN4dBmbFTe37Vy0CG6BCjMqGJw70/cM/PL7wS+/n+yGtN5u3kj+LtnSlyTryJ0jKOxZGBWLVrRJeebgZrVERERO6oNaHyDumzhJWuicUM1xyyUt4TfZD5VmGm+FeWPJG0bPffrKp0Z7KAq4F9AswSI3u3lIoyEm626J+iXr2zU4sjUGSERERArQ321APW1/17VdAMS9O43ZeW2nbLruTOARTUcYnDe2dcji9osxpsUYsyfY5AUcg0RERKSARkGNsOfGHs3z3078hi/qf2FVWbPemgUVVGhbua0mbWSzkQYLFOvvi5Y6PBUChCy3hsqLGCAREREp4MuwLyUB0oBtA7LcsxOQTqEHgI9rf4x+9foZ5HN1ccX0N6fjy+3apQW88nlJ8lgy4zivYRcbERGRAuTmSC06vUjyfPo/07HjqnQvs6uPr0qeD2owyOg9mgc3lzw3NeibpBggERERKUB3tWljBm4fiFa/t8LmS5s1abpbjMx7Zx5q+NUwer1HPufcB80RMEAiIiJSQHpmutl52y7Xji369divmuOP63xs8jr9/S7JfAyQiIiIFGDtHmzLzy43O29RbwZI1mKARERE5EQev3ysdBXyBAZIRERECmhXpZ1V1w1tNBQA8FrZ1yy6btCrxgdzkyFO8yciIlKAj4d1W2FkCpkAgFp+5m30nRmVifMJ51GlWBWr7pdXsQWJiIjICagHdf948EcA4jpH5lCpVKhWvBpcVPzItwT/tYiIiJzAs9RnkueHbx9WqCZ5AwMkIiIiJxD3LE4y800FLvqYkxggERERKeR8//NY12Udfn7zZ03alDemyOatOqsq6s2tp3le0KNgjtcvL+MgbSIiIoVUKVZFM3j6yzDtnmlf7/haNv/JuJOaY24wm7PYgkREROSEPgr5SOkq5GoMkIiIiBxMcKFgAEDrCq1RoUgF2Tztq7S3X4XyIAZIREREDmZvz70Y1XwUFndYLLtn2yuBr0Cl4iDtnMQxSERERA6mTKEyiGoWBUB+z7YT907Yu0p5DluQiIiIHFhsUqzSVciTGCARERE5mQalGihdhVyPARIREZGT4SraOY8BEhEREZEeBkhEREROZmDYQKWrkOsxQCIiInIy5QuXV7oKuR4DJCIiIiI9DJCIiIicjABB6SrkegyQiIiInETTMk0BAB2rdVS4Jrmf4gHSrFmzEBwcDE9PT4SFheHIkSMm8z958gT9+/dHYGAgPDw8UKlSJWzdulWS586dO+jevTuKFi0KLy8v1KxZE8eOHcvJl0FERJQjjn52FEE+QTj22THs7rEbSUOTUKJgCaWrlesputXIypUrERERgejoaISFhWHatGlo1aoVLl68CD8/P4P8qampaNmyJfz8/LBmzRqULFkSN2/eRKFChTR5Hj9+jEaNGqFFixbYtm0bihcvjsuXL6Nw4cJ2fGVERES2UbdEXdwadEvzvKBHQQVrk3eoBEFQrCMzLCwM9erVw8yZMwEAmZmZCAoKwoABAzB06FCD/NHR0Zg0aRIuXLgANzc32TKHDh2KgwcPYv/+/VbXKykpCb6+vkhMTISPj4/V5RAREZH92PLzW7EuttTUVBw/fhzh4eHayri4IDw8HIcPy68QunHjRjRo0AD9+/eHv78/atSogXHjxiEjI0OSp27duujUqRP8/PxQp04dzJ0712RdUlJSkJSUJHkQERFR3qVYgJSQkICMjAz4+/tL0v39/REXFyd7zbVr17BmzRpkZGRg69atGDFiBKZMmYIxY8ZI8syePRsVK1bEn3/+ib59++LLL7/EokWLjNZl/Pjx8PX11TyCgoJs8yKJiIjIKSk6BslSmZmZ8PPzw5w5c+Dq6orQ0FDcuXMHkyZNwsiRIzV56tati3HjxgEA6tSpg7NnzyI6Oho9e/aULTcyMhIRERGa50lJSQySiIiI8jDFAqRixYrB1dUV8fHxkvT4+HgEBATIXhMYGAg3Nze4urpq0qpWrYq4uDikpqbC3d0dgYGBqFatmuS6qlWr4o8//jBaFw8PD3h4eGieq4dlsauNiIjIeag/t20xvFqxAMnd3R2hoaGIiYlB+/btAYitPzExMfjiiy9kr2nUqBGWLVuGzMxMuLiIvYOXLl1CYGAg3N3dNXkuXrwoue7SpUsoU6aM2XV7+vQpALAViYiIyAk9ffoUvr6+2SpD0S62iIgI9OzZE3Xr1kX9+vUxbdo0JCcno1evXgCAHj16oGTJkhg/fjwAoG/fvpg5cyYGDhyIAQMG4PLlyxg3bhy+/PJLTZmDBg1Cw4YNMW7cOHTu3BlHjhzBnDlzMGfOHLPrVaJECcTGxqJgwYJQqVQ2fc2hoaG4cuWKTcskIiJyRrt370ZoaKjNyhMEAU+fPkWJEjZYJ0pQ2IwZM4TSpUsL7u7uQv369YW///5bc65Zs2ZCz549JfkPHTokhIWFCR4eHkK5cuWEsWPHCunp6ZI8mzZtEmrUqCF4eHgIVapUEebMmWOPl2KWypUrCwD44IMPPvjgI88/jhw5ovTHslGKroOUF1WpUsWgC5CIiCgvOnLkCOrVq6d0NWQpvtUIERERkaNhgGRnTZo0UboKREREinN1dUVgYKDS1TCKXWxEREREetiCRERERKSHARIRERGRHgZIRERERHoYIBERERHpYYBEREREpEfRrUacga23GiEiIiJlLFy4ED179jQrL1uQiIiIKE8ICQkxOy8DpCwIgqB5EBERkfMaN26c2XkZIBEREVGecOfOHbPzMkAiIiKiPCE+Pt7svNxqxAIcsE1EROS8vL29kZycbFZeBkgWYIBERETk3MwNe9jFRkRERHmCm5ub2XkZIGXhiy++gEqlYusRERGRkxs5cqTZednFlgUGRkRERLnDnj170Lx5c7PyciXtLDB+JCIiynvYxUZERESkhwESERERkR4GSERERER6GCARERER6WGARERERKSHARIRERGRHgZIRERERHoYIBERERHpYYBEREREpIcBEhEREZEeBkhEREREev4Hy73hByHbkmMAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Create a figure and axis object\n",
"fig, ax = plt.subplots(2 , 1)\n",
"\n",
"# Plot the data\n",
"ax[0].plot(df_concat_btc['date'], df_concat_btc['close_btc'], 'blue')\n",
"# ax[0].plot(df_concat_btc['date'], df_concat_btc['vwap_btc'], 'green')\n",
"\n",
"# Customize the plot\n",
"ax[0].set_title('PAIR-BTC-USDT')\n",
"ax[0].set_xlabel('date')\n",
"ax[0].set_ylabel('close')\n",
"\n",
"ax[1].plot(df_concat_btc['date'], df_concat_btc['vwap_btc'], 'green')\n",
"# ax[1].plot(df_concat_btc['date'], df_concat_btc['volume_BTC'], 'red')\n",
"\n",
"# Show the plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "3c6d80b3-4a46-432b-9b88-6a264f9b7a7e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"First part of the DataFrame:\n",
" date close_xrp volume_xrp vwap_xrp close_eth volume_eth \\\n",
"17937 6-7-20 0.5232 49433.678414 0.523313 0.384779 27.276124 \n",
"17938 6-7-21 0.5233 801.681295 0.523286 0.384825 9.953973 \n",
"\n",
" vwap_eth close_ltc volume_ltc vwap_ltc close_btc volume_btc \\\n",
"17937 0.384768 0.8462 170.281602 0.846104 0.709604 0.941874 \n",
"17938 0.384780 0.8475 338.862661 0.846593 0.709634 0.190872 \n",
"\n",
" vwap_btc \n",
"17937 0.709530 \n",
"17938 0.709608 \n",
"\n",
"Second part of the DataFrame:\n",
" date close_xrp volume_xrp vwap_xrp close_eth volume_eth \\\n",
"17939 6-7-22 0.5229 8344.906144 0.523054 0.384777 5.698963 \n",
"17940 6-7-23 0.5229 4108.984575 0.522904 0.384792 31.878562 \n",
"\n",
" vwap_eth close_ltc volume_ltc vwap_ltc close_btc volume_btc \\\n",
"17939 0.384822 0.8473 67.170996 0.847403 0.709429 0.818917 \n",
"17940 0.384741 0.8474 32.162817 0.847309 0.709656 1.442286 \n",
"\n",
" vwap_btc \n",
"17939 0.709495 \n",
"17940 0.709480 \n"
]
}
],
"source": [
"split_index = round(sample.shape[0] * 0.8)\n",
"\n",
"# First part of the DataFrame\n",
"sample_test = sample.iloc[:split_index]\n",
"\n",
"# Second part of the DataFrame\n",
"sample_valid = sample.iloc[split_index:]\n",
"\n",
"print(\"\\nFirst part of the DataFrame:\")\n",
"print (sample_test.tail(2))\n",
"\n",
"print(\"\\nSecond part of the DataFrame:\")\n",
"print (sample_valid.head(2))"
]
},
{
"cell_type": "code",
"execution_count": 172,
"id": "4edcdbdb-85fb-415e-a6c4-71cc383c4410",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"sample_size: 17939\n",
"[ 1384 5757 16213 13069 13373 6000 13791 4981 10888 8316 2533 5742\n",
" 9334 10830 17542 9836 11376 1664 16224 3630 10028 12874 11194 1160\n",
" 14281 5410 10529 11583 14703 6138 9215 11697 13449 7512 2548 3457\n",
" 15383 8654 12674 2381 295 15015 4884 11299 16782 4391 10095 6513\n",
" 3652 6528 14073 17098 9411 4580 7166 9903 9486 11610 12676 13070\n",
" 6903 16818 11461 1043 11513 11574 13418 4472 7134 6228 15303 5823\n",
" 14108 1230 1677 15232 4179 3161 16294 8711 5301 9021 2673 9559\n",
" 10899 11601 7617 796 2841 263 12059 2439 8251 5510 7132 4027\n",
" 1886 15771 354 3241]\n",
"XXXX ====== Actual Input ====== XXXX\n",
"[[[5.20000000e-01 8.56084855e+03 3.79046000e-01 ... 2.03619299e+01\n",
" 6.76403300e-01 1.93662680e-01]\n",
" [5.20000000e-01 2.72118622e+02 3.79189000e-01 ... 8.46549397e+00\n",
" 6.76504300e-01 4.19622650e-01]\n",
" [5.20000000e-01 2.79186141e+03 3.79209000e-01 ... 9.51299285e+00\n",
" 6.76559900e-01 3.23554580e-01]\n",
" ...\n",
" [5.20000000e-01 2.34551037e+03 3.79253000e-01 ... 9.23012016e+00\n",
" 6.76558500e-01 2.55822060e-01]\n",
" [5.20000000e-01 3.50569145e+03 3.79316000e-01 ... 5.44805370e+00\n",
" 6.76642900e-01 1.19834213e+00]\n",
" [5.20100000e-01 7.10046519e+03 3.78628000e-01 ... 2.05868650e+01\n",
" 6.76144800e-01 2.24357180e-01]]\n",
"\n",
" [[5.20300000e-01 2.93545880e+03 3.79701000e-01 ... 2.53874822e+01\n",
" 6.77093000e-01 2.22327350e+00]\n",
" [5.20200000e-01 3.12651115e+03 3.79640000e-01 ... 1.83111202e+01\n",
" 6.77082400e-01 1.31045968e+00]\n",
" [5.20500000e-01 1.75052628e+02 3.79667000e-01 ... 5.35875780e+01\n",
" 6.77240000e-01 4.97309079e+00]\n",
" ...\n",
" [5.20000000e-01 3.98791700e+03 3.79276000e-01 ... 1.91059710e+01\n",
" 6.76848200e-01 1.05492698e+00]\n",
" [5.20000000e-01 5.69737121e+02 3.79358000e-01 ... 3.18347024e+01\n",
" 6.76996900e-01 2.57768765e+00]\n",
" [5.20000000e-01 1.12777242e+03 3.79209000e-01 ... 5.55224208e+01\n",
" 6.76583600e-01 1.40268434e+00]]\n",
"\n",
" [[5.20400000e-01 8.67225652e+03 3.80053000e-01 ... 4.50314861e+01\n",
" 6.77052500e-01 2.27481940e-01]\n",
" [5.20500000e-01 3.46548103e+04 3.80022000e-01 ... 3.13637753e+01\n",
" 6.76988800e-01 8.76670170e-01]\n",
" [5.20800000e-01 4.68701195e+03 3.80407000e-01 ... 8.55327881e+00\n",
" 6.77175400e-01 1.22887788e+00]\n",
" ...\n",
" [5.20400000e-01 1.64008808e+04 3.80139000e-01 ... 9.18567195e+00\n",
" 6.76818400e-01 5.53732460e-01]\n",
" [5.20400000e-01 3.08324726e+03 3.80059000e-01 ... 2.94599945e+01\n",
" 6.76661200e-01 1.83913002e+00]\n",
" [5.20300000e-01 5.95064867e+03 3.79930000e-01 ... 9.88781977e+00\n",
" 6.76423300e-01 5.63015055e+00]]\n",
"\n",
" ...\n",
"\n",
" [[5.23900000e-01 2.45069102e+04 3.85197000e-01 ... 1.02574301e+01\n",
" 7.10021100e-01 6.22385750e+00]\n",
" [5.23800000e-01 6.93309624e+03 3.84956000e-01 ... 8.44888757e+00\n",
" 7.09474700e-01 1.82884794e+00]\n",
" [5.23700000e-01 4.12015524e+03 3.84846000e-01 ... 1.06924232e+02\n",
" 7.09350200e-01 1.86376625e+00]\n",
" ...\n",
" [5.23800000e-01 5.77692784e+04 3.84756000e-01 ... 1.66761842e+01\n",
" 7.09051100e-01 5.99728850e-01]\n",
" [5.23900000e-01 1.89309224e+04 3.84884000e-01 ... 5.71141576e+01\n",
" 7.09201100e-01 3.29582923e+00]\n",
" [5.23900000e-01 5.61077570e+04 3.84962000e-01 ... 2.61822582e+01\n",
" 7.09247000e-01 4.49988880e-01]]\n",
"\n",
" [[5.27500000e-01 1.06101033e+05 3.83875000e-01 ... 6.35624910e+01\n",
" 7.14000700e-01 2.14567180e+00]\n",
" [5.27400000e-01 3.05276624e+04 3.83896000e-01 ... 3.02172816e+01\n",
" 7.14079700e-01 3.02984498e+00]\n",
" [5.27500000e-01 1.08386986e+04 3.83909000e-01 ... 1.87709165e+02\n",
" 7.14251300e-01 5.73878876e+00]\n",
" ...\n",
" [5.27300000e-01 2.18365663e+04 3.83990000e-01 ... 2.19385179e+01\n",
" 7.14393600e-01 5.18800769e+00]\n",
" [5.27300000e-01 6.10690967e+03 3.84390000e-01 ... 1.01786571e+01\n",
" 7.14956400e-01 8.79365379e+00]\n",
" [5.27300000e-01 2.35593068e+04 3.83868000e-01 ... 4.16372778e+01\n",
" 7.14482400e-01 6.17570624e+00]]\n",
"\n",
" [[5.20200000e-01 1.41947088e+04 3.79926000e-01 ... 2.63679389e+01\n",
" 7.07415700e-01 4.74391646e+00]\n",
" [5.20300000e-01 8.84749542e+03 3.79982000e-01 ... 2.20708443e+01\n",
" 7.07351900e-01 1.27134142e+00]\n",
" [5.20300000e-01 2.49273746e+04 3.79820000e-01 ... 8.40738079e+00\n",
" 7.07351900e-01 6.11735120e-01]\n",
" ...\n",
" [5.20300000e-01 1.18607002e+04 3.79680000e-01 ... 5.61017141e+01\n",
" 7.07200000e-01 2.00946575e+00]\n",
" [5.20300000e-01 1.76526070e+03 3.79823000e-01 ... 3.28731657e+01\n",
" 7.07333700e-01 1.22403338e+00]\n",
" [5.20300000e-01 6.97804121e+03 3.79770000e-01 ... 5.04943137e+01\n",
" 7.07341800e-01 8.95961780e-01]]]\n",
"(100, 8, 8)\n",
"[[0.5199 0.379288 0.8324 0.6765375]\n",
" [0.5202 0.379148 0.8334 0.6767105]\n",
" [0.5202 0.379767 0.8348 0.6763607]\n",
" [0.5192 0.37977 0.8332 0.6767982]\n",
" [0.5188 0.377201 0.8307 0.6760006]\n",
" [0.5182 0.377899 0.8321 0.6756274]\n",
" [0.5186 0.378081 0.8328 0.6757138]\n",
" [0.5191 0.38014 0.8329 0.6765158]\n",
" [0.4977 0.367354 0.793 0.6938254]\n",
" [0.4977 0.367329 0.7924 0.6936574]\n",
" [0.5034 0.369327 0.8 0.6995121]\n",
" [0.4966 0.366876 0.7941 0.6941364]\n",
" [0.4964 0.366675 0.7964 0.6949151]\n",
" [0.4993 0.368361 0.7967 0.6957514]\n",
" [0.4992 0.36881 0.7984 0.6965808]\n",
" [0.4969 0.367134 0.7941 0.6941668]\n",
" [0.4962 0.36718 0.7952 0.6938654]\n",
" [0.4816 0.352869 0.779 0.6690186]\n",
" [0.4827 0.352455 0.7776 0.6689029]\n",
" [0.4743 0.344845 0.7654 0.6646754]\n",
" [0.4888 0.359898 0.7801 0.68196 ]\n",
" [0.4791 0.349045 0.7724 0.6734318]\n",
" [0.4876 0.355972 0.7761 0.6777174]\n",
" [0.4856 0.354109 0.7818 0.6774215]\n",
" [0.4771 0.347886 0.7692 0.670822 ]\n",
" [0.4845 0.354287 0.7761 0.6795899]\n",
" [0.492 0.363658 0.7855 0.6939979]\n",
" [0.4949 0.360833 0.7903 0.6965295]\n",
" [0.49 0.355639 0.7845 0.6854835]\n",
" [0.4914 0.356044 0.7842 0.6822952]\n",
" [0.4828 0.352291 0.7738 0.6754 ]\n",
" [0.4814 0.351729 0.7733 0.6736573]\n",
" [0.4907 0.35516 0.7837 0.6808988]\n",
" [0.4904 0.355253 0.7836 0.6815314]\n",
" [0.4901 0.355711 0.7845 0.6830635]\n",
" [0.4853 0.350243 0.7904 0.6786821]\n",
" [0.4864 0.35163 0.7903 0.6753284]\n",
" [0.4814 0.345716 0.7808 0.6667358]\n",
" [0.4862 0.350504 0.7781 0.6768845]\n",
" [0.4822 0.3483 0.7938 0.6668867]\n",
" [0.4879 0.350302 0.782 0.6738774]\n",
" [0.4875 0.34998 0.7838 0.675553 ]\n",
" [0.4865 0.348801 0.7816 0.6745817]\n",
" [0.4853 0.348273 0.7819 0.673084 ]\n",
" [0.4786 0.349576 0.7984 0.669583 ]\n",
" [0.4736 0.346438 0.7859 0.6640479]\n",
" [0.4793 0.349726 0.7972 0.6679527]\n",
" [0.4802 0.350856 0.7983 0.6685 ]\n",
" [0.4753 0.349081 0.7779 0.6614854]\n",
" [0.4793 0.352875 0.7868 0.6616846]\n",
" [0.4846 0.358939 0.7871 0.6639155]\n",
" [0.4868 0.356201 0.7889 0.6612099]\n",
" [0.4748 0.348094 0.7782 0.6615113]\n",
" [0.4925 0.355075 0.7913 0.6601025]\n",
" [0.4917 0.356035 0.7911 0.6608456]\n",
" [0.4924 0.356746 0.7913 0.6619063]\n",
" [0.479 0.355212 0.7877 0.6617 ]\n",
" [0.4781 0.352716 0.7892 0.6602838]\n",
" [0.489 0.356266 0.7914 0.6616443]\n",
" [0.4894 0.355895 0.7914 0.6616007]\n",
" [0.4895 0.359965 0.7919 0.6658917]\n",
" [0.4894 0.35978 0.7887 0.6650277]\n",
" [0.4896 0.359747 0.787 0.6646644]\n",
" [0.4896 0.359573 0.787 0.6647763]\n",
" [0.4897 0.35659 0.7945 0.6619875]\n",
" [0.489 0.356601 0.7975 0.6626441]\n",
" [0.4894 0.355284 0.7952 0.662544 ]\n",
" [0.4948 0.355105 0.796 0.6635939]\n",
" [0.5187 0.382243 0.8326 0.6777381]\n",
" [0.5185 0.382145 0.8325 0.6769427]\n",
" [0.5187 0.382936 0.8321 0.6777502]\n",
" [0.5148 0.377079 0.8221 0.6737738]\n",
" [0.5149 0.377167 0.8227 0.6744739]\n",
" [0.5171 0.380651 0.8293 0.6820897]\n",
" [0.5123 0.377114 0.8262 0.6784567]\n",
" [0.5183 0.380546 0.8317 0.6772093]\n",
" [0.5181 0.380675 0.8314 0.6772635]\n",
" [0.5141 0.378251 0.824 0.6756163]\n",
" [0.5198 0.380792 0.8352 0.6899958]\n",
" [0.5197 0.380895 0.8354 0.6899816]\n",
" [0.5209 0.37879 0.8325 0.6928397]\n",
" [0.5196 0.377257 0.8298 0.6916359]\n",
" [0.5197 0.375896 0.8299 0.688 ]\n",
" [0.5223 0.377703 0.832 0.6917992]\n",
" [0.5176 0.381546 0.8379 0.6863937]\n",
" [0.5174 0.38252 0.8386 0.6895754]\n",
" [0.5203 0.381832 0.8382 0.6907739]\n",
" [0.5281 0.378782 0.8241 0.6982118]\n",
" [0.5276 0.379652 0.8283 0.7045105]\n",
" [0.5211 0.377761 0.8292 0.6925909]\n",
" [0.5202 0.376687 0.8205 0.6905941]\n",
" [0.5195 0.376172 0.8203 0.6895395]\n",
" [0.5286 0.380636 0.8392 0.708304 ]\n",
" [0.5272 0.386513 0.8498 0.7133316]\n",
" [0.5272 0.386866 0.8499 0.7127191]\n",
" [0.5271 0.385475 0.8492 0.7113771]\n",
" [0.5245 0.385799 0.8483 0.7097274]\n",
" [0.5233 0.384712 0.8503 0.7090648]\n",
" [0.5272 0.383846 0.8554 0.714612 ]\n",
" [0.5203 0.379769 0.8454 0.7071974]]\n",
"YYYY ====== Actual Input ====== YYYY\n",
"[[[0.6765375]]\n",
"\n",
" [[0.6767105]]\n",
"\n",
" [[0.6763607]]\n",
"\n",
" [[0.6767982]]\n",
"\n",
" [[0.6760006]]\n",
"\n",
" [[0.6756274]]\n",
"\n",
" [[0.6757138]]\n",
"\n",
" [[0.6765158]]\n",
"\n",
" [[0.6938254]]\n",
"\n",
" [[0.6936574]]\n",
"\n",
" [[0.6995121]]\n",
"\n",
" [[0.6941364]]\n",
"\n",
" [[0.6949151]]\n",
"\n",
" [[0.6957514]]\n",
"\n",
" [[0.6965808]]\n",
"\n",
" [[0.6941668]]\n",
"\n",
" [[0.6938654]]\n",
"\n",
" [[0.6690186]]\n",
"\n",
" [[0.6689029]]\n",
"\n",
" [[0.6646754]]\n",
"\n",
" [[0.68196 ]]\n",
"\n",
" [[0.6734318]]\n",
"\n",
" [[0.6777174]]\n",
"\n",
" [[0.6774215]]\n",
"\n",
" [[0.670822 ]]\n",
"\n",
" [[0.6795899]]\n",
"\n",
" [[0.6939979]]\n",
"\n",
" [[0.6965295]]\n",
"\n",
" [[0.6854835]]\n",
"\n",
" [[0.6822952]]\n",
"\n",
" [[0.6754 ]]\n",
"\n",
" [[0.6736573]]\n",
"\n",
" [[0.6808988]]\n",
"\n",
" [[0.6815314]]\n",
"\n",
" [[0.6830635]]\n",
"\n",
" [[0.6786821]]\n",
"\n",
" [[0.6753284]]\n",
"\n",
" [[0.6667358]]\n",
"\n",
" [[0.6768845]]\n",
"\n",
" [[0.6668867]]\n",
"\n",
" [[0.6738774]]\n",
"\n",
" [[0.675553 ]]\n",
"\n",
" [[0.6745817]]\n",
"\n",
" [[0.673084 ]]\n",
"\n",
" [[0.669583 ]]\n",
"\n",
" [[0.6640479]]\n",
"\n",
" [[0.6679527]]\n",
"\n",
" [[0.6685 ]]\n",
"\n",
" [[0.6614854]]\n",
"\n",
" [[0.6616846]]\n",
"\n",
" [[0.6639155]]\n",
"\n",
" [[0.6612099]]\n",
"\n",
" [[0.6615113]]\n",
"\n",
" [[0.6601025]]\n",
"\n",
" [[0.6608456]]\n",
"\n",
" [[0.6619063]]\n",
"\n",
" [[0.6617 ]]\n",
"\n",
" [[0.6602838]]\n",
"\n",
" [[0.6616443]]\n",
"\n",
" [[0.6616007]]\n",
"\n",
" [[0.6658917]]\n",
"\n",
" [[0.6650277]]\n",
"\n",
" [[0.6646644]]\n",
"\n",
" [[0.6647763]]\n",
"\n",
" [[0.6619875]]\n",
"\n",
" [[0.6626441]]\n",
"\n",
" [[0.662544 ]]\n",
"\n",
" [[0.6635939]]\n",
"\n",
" [[0.6777381]]\n",
"\n",
" [[0.6769427]]\n",
"\n",
" [[0.6777502]]\n",
"\n",
" [[0.6737738]]\n",
"\n",
" [[0.6744739]]\n",
"\n",
" [[0.6820897]]\n",
"\n",
" [[0.6784567]]\n",
"\n",
" [[0.6772093]]\n",
"\n",
" [[0.6772635]]\n",
"\n",
" [[0.6756163]]\n",
"\n",
" [[0.6899958]]\n",
"\n",
" [[0.6899816]]\n",
"\n",
" [[0.6928397]]\n",
"\n",
" [[0.6916359]]\n",
"\n",
" [[0.688 ]]\n",
"\n",
" [[0.6917992]]\n",
"\n",
" [[0.6863937]]\n",
"\n",
" [[0.6895754]]\n",
"\n",
" [[0.6907739]]\n",
"\n",
" [[0.6982118]]\n",
"\n",
" [[0.7045105]]\n",
"\n",
" [[0.6925909]]\n",
"\n",
" [[0.6905941]]\n",
"\n",
" [[0.6895395]]\n",
"\n",
" [[0.708304 ]]\n",
"\n",
" [[0.7133316]]\n",
"\n",
" [[0.7127191]]\n",
"\n",
" [[0.7113771]]\n",
"\n",
" [[0.7097274]]\n",
"\n",
" [[0.7090648]]\n",
"\n",
" [[0.714612 ]]\n",
"\n",
" [[0.7071974]]]\n",
"(100, 1, 1)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_936/4176381576.py:16: SettingWithCopyWarning: \n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
" sample_test['Selected'] = 0\n"
]
}
],
"source": [
"# variables are close and volume\n",
"# ==============================\n",
"# Test Sample --- 06.17.2024\n",
"# ==============================\n",
"sample_size = sample_test.shape[0]\n",
"print ('sample_size: ', sample_size)\n",
"\n",
"sl = 8 # <--- sequence length\n",
"batch = 100 # <--- batch size\n",
"n_features = 8 # <---- no. of variables\n",
"n_out = 1 # <----- no. of predicted variables\n",
"frwd = 1 # <--- how many to predict\n",
"\n",
"# Trimming Indices !!!\n",
"# Marking selected rows\n",
"sample_test['Selected'] = 0\n",
"\n",
"# Selecting m random rows without replacement\n",
"np.random.seed(125)\n",
"selected_indices = np.random.choice(sample_test.index, size = batch, replace = False)\n",
"\n",
"sample_test.loc[selected_indices, 'Selected'] = 1 # print (sample_test[sample_test['Selected'] == 1])\n",
"chosen_idx1 = sample_test[sample_test['Selected'] == 1].index\n",
"chosen_idx2 = chosen_idx1[chosen_idx1 > sl]\n",
"\n",
"thrown_idx1 = chosen_idx1[chosen_idx1 <= sl]\n",
"cnt_thrown_idx1 = len(thrown_idx1)\n",
"\n",
"chosen_idx3 = chosen_idx2[chosen_idx2 < (sample_size - frwd)]\n",
"\n",
"thrown_idx2 = chosen_idx2[chosen_idx2 >= (sample_size - frwd)]\n",
"cnt_thrown_idx2 = len(thrown_idx2)\n",
"\n",
"cnt_thrown_idx = cnt_thrown_idx1 + cnt_thrown_idx2\n",
"\n",
"print (selected_indices)\n",
"\n",
"all_ts_close_xrp = np.empty((1, )) # final input/output\n",
"all_ts_close_eth = np.empty((1, )) # final input/output\n",
"all_ts_close_ltc = np.empty((1, )) # final input/output\n",
"all_ts_close_btc = np.empty((1, )) # final input/output\n",
"\n",
"all_ts_volume_xrp = np.empty((1, )) # final input/output\n",
"all_ts_volume_eth = np.empty((1, )) # final input/output\n",
"all_ts_volume_ltc = np.empty((1, )) # final input/output\n",
"all_ts_volume_btc = np.empty((1, )) # final input/output\n",
"\n",
"stdev_xrp = np.empty((1, )) # final input/output\n",
"stdev_eth = np.empty((1, )) # final input/output\n",
"stdev_ltc = np.empty((1, )) # final input/output\n",
"stdev_btc = np.empty((1, )) # final input/output\n",
"\n",
"\n",
"aft_ts_close_xrp = np.empty((1))\n",
"aft_ts_close_eth = np.empty((1))\n",
"aft_ts_close_ltc = np.empty((1))\n",
"aft_ts_close_btc = np.empty((1))\n",
"\n",
"for idx in chosen_idx3:\n",
" selected_rows_before = sample_test.iloc[max(0, idx-sl): idx]\n",
" selected_rows_after = sample_test.iloc[max(0, idx): idx+frwd]\n",
"\n",
" # xrp\n",
" sr_before_close_xrp = np.array(selected_rows_before['close_xrp'])\n",
" sr_after_close_xrp = np.array(selected_rows_after['close_xrp']) \n",
" # print (sr_before_close_xrp)\n",
" sr_before_volume_xrp = np.array(selected_rows_before['volume_xrp'])\n",
" sr_after_volume_xrp = np.array(selected_rows_after['volume_xrp']) \n",
" # print (sr_before_volume_xrp) \n",
" # Compute standard deviation\n",
" std_dev_xrp = np.std(sr_before_close_xrp)\n",
" std_dev_xrp_arr = np.repeat(std_dev_xrp, sl)\n",
" # print(std_dev_xrp_arr)\n",
" \n",
"# eth\n",
" sr_before_close_eth = np.array(selected_rows_before['close_eth'])\n",
" sr_after_close_eth = np.array(selected_rows_after['close_eth'])\n",
" sr_before_volume_eth = np.array(selected_rows_before['volume_eth'])\n",
" sr_after_volume_eth = np.array(selected_rows_after['volume_eth'])\n",
" # Compute standard deviation\n",
" std_dev_eth = np.std(sr_before_close_eth)\n",
" std_dev_eth_arr = np.repeat(std_dev_eth, sl)\n",
" # print(std_dev_eth_arr)\n",
" \n",
"# ltc\n",
" sr_before_close_ltc = np.array(selected_rows_before['close_ltc'])\n",
" sr_after_close_ltc = np.array(selected_rows_after['close_ltc'])\n",
" sr_before_volume_ltc = np.array(selected_rows_before['volume_ltc'])\n",
" sr_after_volume_ltc = np.array(selected_rows_after['volume_ltc'])\n",
"# Compute standard deviation\n",
" std_dev_ltc = np.std(sr_before_close_ltc)\n",
" std_dev_ltc_arr = np.repeat(std_dev_ltc, sl)\n",
" # print(std_dev_ltc_arr)\n",
"\n",
"# btc\n",
" sr_before_close_btc = np.array(selected_rows_before['close_btc'])\n",
" sr_after_close_btc = np.array(selected_rows_after['close_btc'])\n",
" sr_before_volume_btc = np.array(selected_rows_before['volume_btc'])\n",
" sr_after_volume_btc = np.array(selected_rows_after['volume_btc'])\n",
" # Compute standard deviation\n",
" std_dev_btc = np.std(sr_before_close_btc)\n",
" std_dev_btc_arr = np.repeat(std_dev_btc, sl)\n",
" # print(std_dev_btc_arr)\n",
"\n",
"# xrp\n",
" all_ts_close_xrp = np.concatenate((all_ts_close_xrp, sr_before_close_xrp))\n",
" all_ts_volume_xrp = np.concatenate((all_ts_volume_xrp, sr_before_volume_xrp))\n",
" stdev_xrp = np.concatenate((stdev_xrp, std_dev_xrp_arr))\n",
"# eth\n",
" all_ts_close_eth = np.concatenate((all_ts_close_eth, sr_before_close_eth))\n",
" all_ts_volume_eth = np.concatenate((all_ts_volume_eth, sr_before_volume_eth))\n",
" stdev_eth = np.concatenate((stdev_eth, std_dev_eth_arr))\n",
"# ltc\n",
" all_ts_close_ltc = np.concatenate((all_ts_close_ltc, sr_before_close_ltc))\n",
" all_ts_volume_ltc = np.concatenate((all_ts_volume_ltc, sr_before_volume_ltc))\n",
" stdev_ltc = np.concatenate((stdev_ltc, std_dev_ltc_arr))\n",
"# btc\n",
" all_ts_close_btc = np.concatenate((all_ts_close_btc, sr_before_close_btc))\n",
" all_ts_volume_btc = np.concatenate((all_ts_volume_btc, sr_before_volume_btc))\n",
" stdev_btc = np.concatenate((stdev_btc, std_dev_btc_arr))\n",
"\n",
"\n",
" aft_ts_close_xrp = np.concatenate((aft_ts_close_xrp, sr_after_close_xrp))\n",
" aft_ts_close_eth = np.concatenate((aft_ts_close_eth, sr_after_close_eth))\n",
" aft_ts_close_ltc = np.concatenate((aft_ts_close_ltc, sr_after_close_ltc))\n",
" aft_ts_close_btc = np.concatenate((aft_ts_close_btc, sr_after_close_btc))\n",
"\n",
"\n",
"X_XRP_close = all_ts_close_xrp[1:]\n",
"X_XRP_volume = all_ts_volume_xrp[1:]\n",
"X_XRP_stdev = stdev_xrp[1:]\n",
"\n",
"\n",
"X_ETH_close = all_ts_close_eth[1:]\n",
"X_ETH_volume = all_ts_volume_eth[1:]\n",
"X_ETH_stdev = stdev_eth[1:]\n",
"\n",
"X_LTC_close = all_ts_close_ltc[1:]\n",
"X_LTC_volume = all_ts_volume_ltc[1:]\n",
"X_LTC_stdev = stdev_ltc[1:]\n",
"\n",
"X_BTC_close = all_ts_close_btc[1:]\n",
"X_BTC_volume = all_ts_volume_btc[1:]\n",
"X_BTC_stdev = stdev_btc[1:]\n",
"\n",
"X0 = np.column_stack((X_XRP_close, X_XRP_volume, \n",
" X_ETH_close, X_ETH_volume, \n",
" X_LTC_close, X_LTC_volume, \n",
" X_BTC_close, X_BTC_volume))\n",
"# print (X0)\n",
"\n",
"# ======== Model Input =========\n",
"X = X0.reshape(batch-cnt_thrown_idx, sl, n_features)\n",
"print ('XXXX ====== Actual Input ====== XXXX')\n",
"print (X)\n",
"print (X.shape)\n",
"\n",
"y_XRP = aft_ts_close_xrp[1:]\n",
"y_ETH = aft_ts_close_eth[1:]\n",
"y_LTC = aft_ts_close_ltc[1:]\n",
"y_BTC = aft_ts_close_btc[1:]\n",
"\n",
"y = np.column_stack((y_XRP, y_ETH, y_LTC, y_BTC))\n",
"print (y)\n",
"\n",
"y = y_BTC.reshape(batch-cnt_thrown_idx, frwd, n_out)\n",
"print ('YYYY ====== Actual Input ====== YYYY')\n",
"print (y)\n",
"print (y.shape)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "c40d6239-1f0e-43c9-a378-c71b31be86c4",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 147,
"id": "cf50668b-5970-4caa-bed5-72cc62e4ea8e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.677093 0.6770824 0.67724 0.6770763 0.6770743 0.6768482 0.6769969\n",
" 0.6765836]\n",
"0.6769993375000001\n",
"0.00018735635789518952\n"
]
}
],
"source": [
"# 06.05.2024 just helper\n",
"values = X_BTC_close.reshape(batch-cnt_thrown_idx, sl)\n",
"\n",
"print (values[0])\n",
"print (np.mean(values[0]))\n",
"print (np.std(values[0]))"
]
},
{
"cell_type": "code",
"execution_count": 148,
"id": "88e292cc-1244-462a-b311-3e964773c742",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"1\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"2\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"3\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"4\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"5\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"6\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"7\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"8\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"9\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"10\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"11\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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du+uOO+5QrVq19PTTT6uwsFAPPfTQnxprZd1666164IEHdOuttyo+Pl6bN292u2GuqIp83tLp92vRokWaN2+eWrVqpfDw8FJ7aKTTe94efPBBJScnq2fPnrr55pudl4k3a9ZMkydPPu9az3b99ddr7ty52rRpk/OQU2V/t0JCQrRmzRr1799fnTp1crmT8fbt2/Xyyy+fV0jJzc3VF198ofHjx5//AGFe3rl4C/C8a6+91vD39zcKCgrKbDNq1Cijdu3axqFDhwzDMIyDBw8agwYNMgICAoyQkBDjtttuM7766qtSlw2fOnXKmDhxohEWFmZYLBaXS6GPHj1qTJ482YiOjjZq165tXHLJJcbDDz/scjlwiSVLlhidO3c2rFarERISYvTs2dN5yW2JJ5980oiNjTVq165tREREGOPGjTN+/fVXlzY9e/Y0LrvsslL9l1zy/PDDD7sd/w8//GCMGDHCiIyMNGrXrm00atTI+Otf/2q8+uqrzjbuLhP/5ptvjMTERKNevXpGaGioMWbMGOPzzz+v1Puksy65NgzD2L59u5GUlGTUq1fPCAgIMK6++mrj448/dmlTcpn4tm3bXKaXdZn/2Uou7T548GCZbY4fP26MHj3aCAoKMurXr2/cdNNNRm5ubpmXiZ/dV0mNu3fvdpl+rs/bZrMZAwYMMOrXr29Icl4yXtbYVq1a5eyvQYMGxrBhw4x9+/a5tBk5cqRRt27dMt+HiujQoYMxevRo5+vz+d0yjNOX/U+ePNm49NJLDX9/fyMgIMCIi4sz7rvvPiM/P9/Zrqyf57MtWrTICAgIMOx2e4XGgZrFYhgXyFlwAIAL0n//+1+NHz9ee/bscbmBoLd17txZvXr1crmBJlCCc3AAAOUaNmyYmjRp4vaEYm9JS0vT999/rxkzZni7FFyg2IMDAABMhz04AADAdDwacDZv3qxrr71W0dHRslgsFfpCtI0bN+ovf/mLrFarWrVq5fYbfRcuXKhmzZrJ399fCQkJ2rp1a9UXDwAALloeDTgFBQXq2LFjhY/b7t69WwMGDNDVV1+tHTt2aNKkSbr11lv1/vvvO9usWrVKKSkpmjVrlrZv366OHTsqKSnJ7aW8AACgZqq2c3AsFovWrFmjgQMHltlm+vTpeuedd/TVV185pw0dOlR5eXlKS0uTdPp7Ti6//HLnjdQcDodiYmI0ceJE3X333R4dAwAAuDhcUDf6y8zMLHXb+KSkJE2aNEnS6VvUZ2VluZw17+Pjo8TERGVmZpbZb2FhoctdOB0Oh44cOaKGDRvyBW0AAFwkDMPQ0aNHFR0dLR+f8g9CXVABx2azKSIiwmVaRESE7Ha7Tpw4oV9//VXFxcVu25R81487qampmj17tkdqBgAA1Wvv3r1q3LhxuW0uqIDjKTNmzFBKSorzdX5+vpo0aaK9e/dWyffb/Cf9Oy37+CcVO0of7fP1sWhUt2aa/H+X/un1AABQk9ntdsXExLh8mXFZLqiAExkZqZycHJdpOTk5CgwMVJ06deTr6ytfX1+3bSIjI8vs12q1ymq1lpoeGBhYJQFnRM82euHTHPm4OZvJYpFG9myjwMC6f3o9AABAFTq95IK6D07Xrl2VkZHhMi09Pd35JWx+fn6Ki4tzaeNwOJSRkeHVb5NtHlpXDw7qIJ8z3m9fi0U+FunBQR3ULJRwAwBAdfLoHpxjx45p165dzte7d+/Wjh071KBBAzVp0kQzZszQ/v379eKLL0qSbr/9dj355JOaNm2abrnlFq1fv16vvPKK3nnnHWcfKSkpGjlypOLj49WlSxfNnz9fBQUFSk5O9uRQzmlwfIzaNQpUv8c/lCQld2+m4QlNCTcAAHiBRwPOp59+qquvvtr5uuQ8mJEjR2rZsmU6cOCA9uzZ45zfvHlzvfPOO5o8ebIef/xxNW7cWM8995ySkpKcbYYMGaKDBw9q5syZstls6tSpk9LS0kqdeOwNTRv+EWZS/u9SBfhdUEcAAQCoMWrkd1HZ7XYFBQUpPz+/Ss7BKXG86JTazjx9U8Jv5iQRcAAAqEKV2X5fUOfgAAAAVAUCDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMJ1qCTgLFy5Us2bN5O/vr4SEBG3durXMtr169ZLFYin1GDBggLPNqFGjSs3v27dvdQwFAABcBGp5egWrVq1SSkqKFi9erISEBM2fP19JSUnKzs5WeHh4qfavv/66ioqKnK8PHz6sjh07avDgwS7t+vbtq6VLlzpfW61Wzw0CAABcVDy+B+exxx7TmDFjlJycrLZt22rx4sUKCAjQkiVL3LZv0KCBIiMjnY/09HQFBASUCjhWq9WlXUhIiKeHAgAALhIeDThFRUXKyspSYmLiHyv08VFiYqIyMzMr1Mfzzz+voUOHqm7dui7TN27cqPDwcLVu3Vrjxo3T4cOHy+yjsLBQdrvd5QEAAMzLowHn0KFDKi4uVkREhMv0iIgI2Wy2cy6/detWffXVV7r11ltdpvft21cvvviiMjIy9OCDD2rTpk3q16+fiouL3faTmpqqoKAg5yMmJub8BwUAAC54Hj8H5894/vnn1b59e3Xp0sVl+tChQ53P27dvrw4dOqhly5bauHGjevfuXaqfGTNmKCUlxfnabrcTcgDgAuBwGHIYhgzp9L+GTj9kyGFIhnH6Xxlyaec43eh0mzPalixfus/Tr0v6rgijYs2qbrkK1lVV6ztfFVlfaH0/RQXV8Xwx5fBowAkNDZWvr69ycnJcpufk5CgyMrLcZQsKCrRy5UrNmTPnnOtp0aKFQkNDtWvXLrcBx2q1chIygAua8ftWo2TjYZwx/Y/nJfNc28rNfHf9uL6Ws0FZYaDktbvgUZm2zpDifP1HO5hTYB3v7z/xaAV+fn6Ki4tTRkaGBg4cKElyOBzKyMjQhAkTyl129erVKiws1PDhw8+5nn379unw4cOKioqqirKBGs8wDJ0sNnSy2KHiMzdEldyAGjLOWq70vDL7OWPjV9aG3ShjvWf2+Psf+uX3c9Zf9eda9zlDQ5ljK28ZAFXJ4xErJSVFI0eOVHx8vLp06aL58+eroKBAycnJkqQRI0aoUaNGSk1NdVnu+eef18CBA9WwYUOX6ceOHdPs2bM1aNAgRUZG6ocfftC0adPUqlUrJSUleXo4wEXL4TBUVOzQyWKHTv0eXorKeH6ymK0ugIubxwPOkCFDdPDgQc2cOVM2m02dOnVSWlqa88TjPXv2yMfH9Vzn7Oxsffjhh1q3bl2p/nx9ffXFF1/ohRdeUF5enqKjo9WnTx/NnTuXw1CocU79HkZOhxOHc6/LSTfPix2EFgA1h8Uwat4OUrvdrqCgIOXn5yswMLDK+j1edEptZ74vSfpmTpIC/Lx/DBIXlzMPDZ0qdt3jcvbzU8UOkVkAXIiig/3VtGHdczespMpsv9kCAx5WcmjolMPQyVO/71E58/kZe1pOOTjxEgCqAgEHOA+nfg8jRcUOnTz1+/NTf4SUM5+f4nwWAKh2BBz8Kc77TpQ81x9XpJx9hYq7djq7rZt+5FzOTT/lrOOP/k4/M9z1U8FadUY/p4oNDg0BwAWOgGMSx4tOyZb/W4U26L/PrVgAObsfl3kAAFyYCDgmUXjSoRx7obfLAADgguDxbxMHAACobgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOtUScBYuXKhmzZrJ399fCQkJ2rp1a5ltly1bJovF4vLw9/d3aWMYhmbOnKmoqCjVqVNHiYmJ+v777z09DAAAcJHweMBZtWqVUlJSNGvWLG3fvl0dO3ZUUlKScnNzy1wmMDBQBw4ccD5+/vlnl/kPPfSQFixYoMWLF2vLli2qW7eukpKS9Ntvv3l6OAAA4CLg8YDz2GOPacyYMUpOTlbbtm21ePFiBQQEaMmSJWUuY7FYFBkZ6XxEREQ45xmGofnz5+vf//63rr/+enXo0EEvvviifvnlF73xxhueHg4AALgIeDTgFBUVKSsrS4mJiX+s0MdHiYmJyszMLHO5Y8eOqWnTpoqJidH111+vr7/+2jlv9+7dstlsLn0GBQUpISGhzD4LCwtlt9tdHgAAwLw8GnAOHTqk4uJilz0wkhQRESGbzeZ2mdatW2vJkiV688039dJLL8nhcKhbt27at2+fJDmXq0yfqampCgoKcj5iYmL+7NAAAMAF7IK7iqpr164aMWKEOnXqpJ49e+r1119XWFiYnn766fPuc8aMGcrPz3c+9u7dW4UVAwCAC41HA05oaKh8fX2Vk5PjMj0nJ0eRkZEV6qN27drq3Lmzdu3aJUnO5SrTp9VqVWBgoMsDAACYl0cDjp+fn+Li4pSRkeGc5nA4lJGRoa5du1aoj+LiYn355ZeKioqSJDVv3lyRkZEufdrtdm3ZsqXCfQIAAHOr5ekVpKSkaOTIkYqPj1eXLl00f/58FRQUKDk5WZI0YsQINWrUSKmpqZKkOXPm6IorrlCrVq2Ul5enhx9+WD///LNuvfVWSaevsJo0aZLmzZunSy65RM2bN9c999yj6OhoDRw40NPDAQAAFwGPB5whQ4bo4MGDmjlzpmw2mzp16qS0tDTnScJ79uyRj88fO5J+/fVXjRkzRjabTSEhIYqLi9PHH3+stm3bOttMmzZNBQUFGjt2rPLy8tS9e3elpaWVuiEgAAComSyGYRjeLqK62e12BQUFKT8/v0rPxzledEptZ74vSfpmTpIC/DyeH51+LSjSt7aj1bY+AADKEh3sr6YN61Z5v5XZfl9wV1EBAAD8WQQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOtUScBYuXKhmzZrJ399fCQkJ2rp1a5ltn332WV111VUKCQlRSEiIEhMTS7UfNWqULBaLy6Nv376eHgYAALhIeDzgrFq1SikpKZo1a5a2b9+ujh07KikpSbm5uW7bb9y4UTfffLM2bNigzMxMxcTEqE+fPtq/f79Lu759++rAgQPOx8svv+zpoQAAgIuExwPOY489pjFjxig5OVlt27bV4sWLFRAQoCVLlrhtv3z5ct1xxx3q1KmTYmNj9dxzz8nhcCgjI8OlndVqVWRkpPMREhLi6aEAAICLhEcDTlFRkbKyspSYmPjHCn18lJiYqMzMzAr1cfz4cZ08eVINGjRwmb5x40aFh4erdevWGjdunA4fPlxmH4WFhbLb7S4PAABgXh4NOIcOHVJxcbEiIiJcpkdERMhms1Woj+nTpys6OtolJPXt21cvvviiMjIy9OCDD2rTpk3q16+fiouL3faRmpqqoKAg5yMmJub8BwUAAC54tbxdQHkeeOABrVy5Uhs3bpS/v79z+tChQ53P27dvrw4dOqhly5bauHGjevfuXaqfGTNmKCUlxfnabrcTcgAAMDGP7sEJDQ2Vr6+vcnJyXKbn5OQoMjKy3GUfeeQRPfDAA1q3bp06dOhQbtsWLVooNDRUu3btcjvfarUqMDDQ5QEAAMzLowHHz89PcXFxLicIl5ww3LVr1zKXe+ihhzR37lylpaUpPj7+nOvZt2+fDh8+rKioqCqpGwAAXNw8fhVVSkqKnn32Wb3wwgvauXOnxo0bp4KCAiUnJ0uSRowYoRkzZjjbP/jgg7rnnnu0ZMkSNWvWTDabTTabTceOHZMkHTt2TP/4xz/0ySef6KefflJGRoauv/56tWrVSklJSZ4eDgAAuAh4/BycIUOG6ODBg5o5c6ZsNps6deqktLQ054nHe/bskY/PHzlr0aJFKioq0o033ujSz6xZs3TvvffK19dXX3zxhV544QXl5eUpOjpaffr00dy5c2W1Wj09HAAAcBGwGIZheLuI6ma32xUUFKT8/PwqPR/neNEptZ35viTpmzlJCvCrvnO4fy0o0re2o9W2PgAAyhId7K+mDetWeb+V2X7zXVQAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0anm7AAAAPO1A/gltzD6og8cKFVbPql6twxQVVMfbZcGDCDgAAFPbmJ2rZ/73oyySDEkWSW998Ytu69FCPS8N93J18BQCDgDAtA7kn9Az//tRhnE63Eh//Pv05h/VOiJQkUH+3irPY9hjRcABAJjYxuyDzj03Z7NI2pCdq5u7NKnmqjyLPVancZIxAMC0Dh4rdBtupNMb/4PHCquzHI87c4+Vw5DLv09v/lG2/N+8XWK1IeAAAEwrrJ5VljLmWX6fbyYle6zcKdljVVNUS8BZuHChmjVrJn9/fyUkJGjr1q3ltl+9erViY2Pl7++v9u3b691333WZbxiGZs6cqaioKNWpU0eJiYn6/vvvPTkEAMBFqFfrsHL34Fzd2lyHbGraHqvyePwcnFWrViklJUWLFy9WQkKC5s+fr6SkJGVnZys8vPQP1scff6ybb75Zqamp+utf/6oVK1Zo4MCB2r59u9q1aydJeuihh7RgwQK98MILat68ue655x4lJSXpm2++kb9/xU8WO150SrWKTlXZWI+f0dfxKuy3Ik4UFeu3k8XVuk4AuNCFBPjplm7NteSj3c4Nv4/l9Mb+lm7NFRxQ21T/d4YE1C73nKOQahrviaJij2wHK9OnxTCMssJelUhISNDll1+uJ598UpLkcDgUExOjiRMn6u677y7VfsiQISooKNDbb7/tnHbFFVeoU6dOWrx4sQzDUHR0tKZMmaKpU6dKkvLz8xUREaFly5Zp6NChpfosLCxUYeEfqdVutysmJkYxk16RjzWgqocMAAA8wFF4XHvn36T8/HwFBgaW29ajh6iKioqUlZWlxMTEP1bo46PExERlZma6XSYzM9OlvSQlJSU52+/evVs2m82lTVBQkBISEsrsMzU1VUFBQc5HTEzMnx0aAAC4gHn0ENWhQ4dUXFysiIgIl+kRERH69ttv3S5js9nctrfZbM75JdPKanO2GTNmKCUlxfm6ZA/O1n/1PmcCvFjkFZxUds7Ral1n4cli3b58uyRp8bC/yFrbt1rXX90YL+M1k5o23pomx/6bNn9/UIePFalhPT/1uCRMEYHVd7+fqCB/NWlY9UdI7Ha7ouZXrG2NuA+O1WqV1Vr6TPkAv1oK8DPHW1B40iF/L/4HZa3t69X1VzfGa26MFxe7pg3r6v81rOu19dfx8/XI9vVUJfr06CGq0NBQ+fr6Kicnx2V6Tk6OIiMj3S4TGRlZbvuSfyvTJwAAqFk8GnD8/PwUFxenjIwM5zSHw6GMjAx17drV7TJdu3Z1aS9J6enpzvbNmzdXZGSkSxu73a4tW7aU2ScAAKhZPH58JiUlRSNHjlR8fLy6dOmi+fPnq6CgQMnJyZKkESNGqFGjRkpNTZUk3XXXXerZs6ceffRRDRgwQCtXrtSnn36qZ555RpJksVg0adIkzZs3T5dcconzMvHo6GgNHDjQ08MBAAAXAY8HnCFDhujgwYOaOXOmbDabOnXqpLS0NOdJwnv27JGPzx87krp166YVK1bo3//+t/75z3/qkksu0RtvvOG8B44kTZs2TQUFBRo7dqzy8vLUvXt3paWlVeoeOAAAwLyq5QzbCRMmaMKECW7nbdy4sdS0wYMHa/DgwWX2Z7FYNGfOHM2ZM6eqSgQAACbCd1EBgCSb/Y8vIVydtVcH8k94sRoAfxYBB4BbNWmDvzE7V/9c86XzddpXNk1Z/bk2fVdzvpgQMBsCDoBSatIG/0D+CT3zvx915pfWOAzJMKSnN/8oW/5vZS8M4IJFwAHgoqZt8DdmH5SljHkWSRuyzRfqgJqAgAPARU3b4B88Vuj2m5el09/IfPBYYRlzAVzICDgAXNS0DX5YPWu5gS6sXumveQFw4SPgAHBR0zb4vVqHlRvorm4dXp3lAKgiBByct5p0lU1NUtM2+FFBdXRbjxayWCQfi1z+va1HC0UGcQNR4GJkjq/SRrXbmJ2rZ/73o/N12lc2vfeVTbf1aKGel5prA1jTlGzwn978oyw6HWpK/jXrBr/npeFqHRGoDdm5OnisUGH1rLq6dbgpxwrUFAQcVFpZV9lIp6+yaR0RyIbhIlcTN/iRQf66uUsTb5dRbc7eA5vYJkJRQXW8WBFQtQg4qLSSq2zcHcYoucqmJm0ozKqmbfBrEvbAoibgHBxUWk27ygYwk5p2nyPUXAQcVFpNu8oGMJOadp8j1FwEHFRaTbvKBjAT9sCipiDgoNK4rBa4eLEHFjUFJxnjvNTEq2wAM+jVOkxvffGL23nsgYWZEHBw3rjKBrj41MT7HKFmIuAAQA3DHljUBAQcAKiB2AMLs+MkYwAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHKCCbPbfnM9XZ+3VgfwTXqwGAFAeAg5QARuzc/XPNV86X6d9ZdOU1Z9r03e5XqwKAFAWAg5wDgfyT+iZ//0ow/hjmsOQDEN6evOPsuX/VvbCAACvIOAA57Ax+6AsZcyzSNqQzV4cALjQEHCAczh4rFBGGfOM3+cDAC4sBBzgHMLqWcvdgxNWz1qd5QAAKoCAA5xDr9Zh5e7Bubp1eHWWAwCoAAIOcA5RQXV0W48WslgkH4tc/r2tRwtFBvl7u0QAwFk8GnCOHDmiYcOGKTAwUMHBwRo9erSOHTtWbvuJEyeqdevWqlOnjpo0aaI777xT+fn5Lu0sFkupx8qVKz05FNRwPS8N12ODO+mvHaJ1RYuG+muHaD02uJN6XsreGwC4ENXyZOfDhg3TgQMHlJ6erpMnTyo5OVljx47VihUr3Lb/5Zdf9Msvv+iRRx5R27Zt9fPPP+v222/XL7/8oldffdWl7dKlS9W3b1/n6+DgYE8OBVBkkL9u7tLE22UAACrAYhhGWacX/Ck7d+5U27ZttW3bNsXHx0uS0tLS1L9/f+3bt0/R0dEV6mf16tUaPny4CgoKVKvW6TxmsVi0Zs0aDRw48Lxqs9vtCgoKUn5+vgIDA8+rjwvNrwVF+tZ21NtlAACg6GB/NW1Yt8r7rcz222OHqDIzMxUcHOwMN5KUmJgoHx8fbdmypcL9lAyiJNyUGD9+vEJDQ9WlSxctWbJE5eW0wsJC2e12lwcAADAvjx2istlsCg93PT+hVq1aatCggWw2W4X6OHTokObOnauxY8e6TJ8zZ46uueYaBQQEaN26dbrjjjt07Ngx3XnnnW77SU1N1ezZs89vIAAA4KJT6T04d999t9uTfM98fPvtt3+6MLvdrgEDBqht27a69957Xebdc889uvLKK9W5c2dNnz5d06ZN08MPP1xmXzNmzFB+fr7zsXfv3j9dHwAAuHBVeg/OlClTNGrUqHLbtGjRQpGRkcrNdb2F/alTp3TkyBFFRkaWu/zRo0fVt29f1a9fX2vWrFHt2rXLbZ+QkKC5c+eqsLBQVmvpm65ZrVa30wEAgDlVOuCEhYUpLCzsnO26du2qvLw8ZWVlKS4uTpK0fv16ORwOJSQklLmc3W5XUlKSrFar1q5dK3//c99jZMeOHQoJCSHEAAAASR48B6dNmzbq27evxowZo8WLF+vkyZOaMGGChg4d6ryCav/+/erdu7defPFFdenSRXa7XX369NHx48f10ksvuZwQHBYWJl9fX7311lvKycnRFVdcIX9/f6Wnp+v+++/X1KlTPTUUAABwkfHofXCWL1+uCRMmqHfv3vLx8dGgQYO0YMEC5/yTJ08qOztbx48flyRt377deYVVq1atXPravXu3mjVrptq1a2vhwoWaPHmyDMNQq1at9Nhjj2nMmDGeHAoAALiIeOw+OBcy7oMDAIDnmPo+OAAAAN5CwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKbj0YBz5MgRDRs2TIGBgQoODtbo0aN17Nixcpfp1auXLBaLy+P22293abNnzx4NGDBAAQEBCg8P1z/+8Q+dOnXKk0MBAAAXkVqe7HzYsGE6cOCA0tPTdfLkSSUnJ2vs2LFasWJFucuNGTNGc+bMcb4OCAhwPi8uLtaAAQMUGRmpjz/+WAcOHNCIESNUu3Zt3X///R4bCwAAuHh4LODs3LlTaWlp2rZtm+Lj4yVJTzzxhPr3769HHnlE0dHRZS4bEBCgyMhIt/PWrVunb775Rh988IEiIiLUqVMnzZ07V9OnT9e9994rPz8/j4wHAABcPDx2iCozM1PBwcHOcCNJiYmJ8vHx0ZYtW8pddvny5QoNDVW7du00Y8YMHT9+3KXf9u3bKyIiwjktKSlJdrtdX3/9tdv+CgsLZbfbXR4AAMC8PLYHx2azKTw83HVltWqpQYMGstlsZS7397//XU2bNlV0dLS++OILTZ8+XdnZ2Xr99ded/Z4ZbiQ5X5fVb2pqqmbPnv1nhgMAAC4ilQ44d999tx588MFy2+zcufO8Cxo7dqzzefv27RUVFaXevXvrhx9+UMuWLc+rzxkzZiglJcX52m63KyYm5rxrBAAAF7ZKB5wpU6Zo1KhR5bZp0aKFIiMjlZub6zL91KlTOnLkSJnn17iTkJAgSdq1a5datmypyMhIbd261aVNTk6OJJXZr9VqldVqrfA6AQDAxa3SAScsLExhYWHnbNe1a1fl5eUpKytLcXFxkqT169fL4XA4Q0tF7NixQ5IUFRXl7Pe+++5Tbm6u8xBYenq6AgMD1bZt20qOBgAAmJHHTjJu06aN+vbtqzFjxmjr1q366KOPNGHCBA0dOtR5BdX+/fsVGxvr3CPzww8/aO7cucrKytJPP/2ktWvXasSIEerRo4c6dOggSerTp4/atm2r//f//p8+//xzvf/++/r3v/+t8ePHs5cGAABI8vCN/pYvX67Y2Fj17t1b/fv3V/fu3fXMM8845588eVLZ2dnOq6T8/Pz0wQcfqE+fPoqNjdWUKVM0aNAgvfXWW85lfH199fbbb8vX11ddu3bV8OHDNWLECJf75gAAgJrNYhiG4e0iqpvdbldQUJDy8/MVGBjo7XKqxK8FRfrWdtTbZQAAoOhgfzVtWLfK+63M9pvvogIAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZTy9sFoGr41/ZVdLC/DEMyJBmG8fu/kmQ4p+v3aUbJtDOel5pXTj9/tDdcXgMAcCEg4JhEHT9fNW1Y16s1GIb7YHSuACWdEZrKCVjG6Zml+nXp5zyC2tlh71z9FDsMnSwm0QHAhYyAgypjsVhksThfebMUjzOM0yHnZLHj90f5z9nDBQDVi4ADnAeLxSK/Whb51arYaWwnix06VWyo6Pfgc+r34FPk5nmxgzQEAH8WAQeoBrV9fVTbV6oj33O2PX0I7I89QKd+Dz/unnOoDADcI+AAFxhfH4t8fXzlX/vcYcgwDLd7gco6XMahMgA1BQEHuIhZLBZZa/nKWsHfZHfB5+xDZ0XFDp085RBHygBczDwacI4cOaKJEyfqrbfeko+PjwYNGqTHH39c9erVc9v+p59+UvPmzd3Oe+WVVzR48GBJp/9TP9vLL7+soUOHVl3xgAmdPlRWsfOGSg6VFTtKri1zc9VbyQu5uQLtrPau84wzlnMzT3Jeueay3rNCl9sr38qrtcy27q+gczeuyq7bdVl3YzvXMgDOh0cDzrBhw3TgwAGlp6fr5MmTSk5O1tixY7VixQq37WNiYnTgwAGXac8884wefvhh9evXz2X60qVL1bdvX+fr4ODgKq8fqMlKDpXBu0rdAkFlh6HywtjZ888MY4Ykw3F6vsOQHCW3fPh9XsnrP6b/0dYwjN/39rkuW5G2Z7YDqprHAs7OnTuVlpambdu2KT4+XpL0xBNPqH///nrkkUcUHR1dahlfX19FRka6TFuzZo1uuummUnt9goODS7UFALMp2WPtuuPaXLdhMM4MRTpHODqrneP3tOY4q61xZoCSa2ircF3nPZ7zXO4813je6/NgndZa3v/jyGMBJzMzU8HBwc5wI0mJiYny8fHRli1bdMMNN5yzj6ysLO3YsUMLFy4sNW/8+PG69dZb1aJFC91+++1KTk52e+hKkgoLC1VYWOh8bbfbz2NEAABPKLmHlo/Jghu8y2MBx2azKTw83HVltWqpQYMGstlsFerj+eefV5s2bdStWzeX6XPmzNE111yjgIAArVu3TnfccYeOHTumO++8020/qampmj179vkNBAAAXHQq/WWbd9999+9pu+zHt99++6cLO3HihFasWKHRo0eXmnfPPffoyiuvVOfOnTV9+nRNmzZNDz/8cJl9zZgxQ/n5+c7H3r17/3R9AADgwlXpPThTpkzRqFGjym3TokULRUZGKjc312X6qVOndOTIkQqdO/Pqq6/q+PHjGjFixDnbJiQkaO7cuSosLJTVai0132q1up0OAADMqdIBJywsTGFhYeds17VrV+Xl5SkrK0txcXGSpPXr18vhcCghIeGcyz///PO67rrrKrSuHTt2KCQkhBADAAAkefAcnDZt2qhv374aM2aMFi9erJMnT2rChAkaOnSo8wqq/fv3q3fv3nrxxRfVpUsX57K7du3S5s2b9e6775bq96233lJOTo6uuOIK+fv7Kz09Xffff7+mTp3qqaEAAICLjEfvg7N8+XJNmDBBvXv3dt7ob8GCBc75J0+eVHZ2to4fP+6y3JIlS9S4cWP16dOnVJ+1a9fWwoULNXnyZBmGoVatWumxxx7TmDFjPDkUAABwEbEYlbkpgEnY7XYFBQUpPz9fgYGB3i4HAABUQGW235W+igoAAOBCR8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACm47GAc99996lbt24KCAhQcHBwhZYxDEMzZ85UVFSU6tSpo8TERH3//fcubY4cOaJhw4YpMDBQwcHBGj16tI4dO+aBEQAAgIuVxwJOUVGRBg8erHHjxlV4mYceekgLFizQ4sWLtWXLFtWtW1dJSUn67bffnG2GDRumr7/+Wunp6Xr77be1efNmjR071hNDAAAAFymLYRiGJ1ewbNkyTZo0SXl5eeW2MwxD0dHRmjJliqZOnSpJys/PV0REhJYtW6ahQ4dq586datu2rbZt26b4+HhJUlpamvr37699+/YpOjq6QjXZ7XYFBQUpPz9fgYGBf2p8AACgelRm+12rmmo6p927d8tmsykxMdE5LSgoSAkJCcrMzNTQoUOVmZmp4OBgZ7iRpMTERPn4+GjLli264YYb3PZdWFiowsJC5+v8/HxJp98oAABwcSjZbldk38wFE3BsNpskKSIiwmV6RESEc57NZlN4eLjL/Fq1aqlBgwbONu6kpqZq9uzZpabHxMT82bIBAEA1O3r0qIKCgsptU6mAc/fdd+vBBx8st83OnTsVGxtbmW49bsaMGUpJSXG+djgcOnLkiBo2bCiLxVKl67Lb7YqJidHevXtrxOEvxmtujNfcGK+5mXG8hmHo6NGjFTolpVIBZ8qUKRo1alS5bVq0aFGZLp0iIyMlSTk5OYqKinJOz8nJUadOnZxtcnNzXZY7deqUjhw54lzeHavVKqvV6jKtold2na/AwEDT/EBVBOM1N8ZrbozX3Mw23nPtuSlRqYATFhamsLCw8yroXJo3b67IyEhlZGQ4A43dbteWLVucV2J17dpVeXl5ysrKUlxcnCRp/fr1cjgcSkhI8EhdAADg4uOxy8T37NmjHTt2aM+ePSouLtaOHTu0Y8cOl3vWxMbGas2aNZIki8WiSZMmad68eVq7dq2+/PJLjRgxQtHR0Ro4cKAkqU2bNurbt6/GjBmjrVu36qOPPtKECRM0dOjQCl9BBQAAzM9jJxnPnDlTL7zwgvN1586dJUkbNmxQr169JEnZ2dnOK5okadq0aSooKNDYsWOVl5en7t27Ky0tTf7+/s42y5cv14QJE9S7d2/5+Pho0KBBWrBggaeGUWlWq1WzZs0qdUjMrBivuTFec2O85lbTxns2j98HBwAAoLrxXVQAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDhVaOHChWrWrJn8/f2VkJCgrVu3erskj9m8ebOuvfZaRUdHy2Kx6I033vB2SR6Vmpqqyy+/XPXr11d4eLgGDhyo7Oxsb5flMYsWLVKHDh2cd0Dt2rWr3nvvPW+XVS0eeOAB5325zOree++VxWJxeVxoX7FT1fbv36/hw4erYcOGqlOnjtq3b69PP/3U22V5RLNmzUp9vhaLRePHj/d2adWKgFNFVq1apZSUFM2aNUvbt29Xx44dlZSUVOqrJcyioKBAHTt21MKFC71dSrXYtGmTxo8fr08++UTp6ek6efKk+vTpo4KCAm+X5hGNGzfWAw88oKysLH366ae65pprdP311+vrr7/2dmketW3bNj399NPq0KGDt0vxuMsuu0wHDhxwPj788ENvl+Qxv/76q6688krVrl1b7733nr755hs9+uijCgkJ8XZpHrFt2zaXzzY9PV2SNHjwYC9XVs0MVIkuXboY48ePd74uLi42oqOjjdTUVC9WVT0kGWvWrPF2GdUqNzfXkGRs2rTJ26VUm5CQEOO5557zdhkec/ToUeOSSy4x0tPTjZ49exp33XWXt0vymFmzZhkdO3b0dhnVZvr06Ub37t29XYbX3HXXXUbLli0Nh8Ph7VKqFXtwqkBRUZGysrKUmJjonObj46PExERlZmZ6sTJ4SskduBs0aODlSjyvuLhYK1euVEFBgbp27ertcjxm/PjxGjBggMvvsZl9//33io6OVosWLTRs2DDt2bPH2yV5zNq1axUfH6/BgwcrPDxcnTt31rPPPuvtsqpFUVGRXnrpJd1yyy2yWCzeLqdaEXCqwKFDh1RcXKyIiAiX6REREbLZbF6qCp7icDg0adIkXXnllWrXrp23y/GYL7/8UvXq1ZPVatXtt9+uNWvWqG3btt4uyyNWrlyp7du3KzU11dulVIuEhAQtW7ZMaWlpWrRokXbv3q2rrrpKR48e9XZpHvHjjz9q0aJFuuSSS/T+++9r3LhxuvPOO12+Tsis3njjDeXl5WnUqFHeLqXaeey7qACzGj9+vL766itTn7MgSa1bt9aOHTuUn5+vV199VSNHjtSmTZtMF3L27t2ru+66S+np6S7fe2dm/fr1cz7v0KGDEhIS1LRpU73yyisaPXq0FyvzDIfDofj4eN1///2STn834ldffaXFixdr5MiRXq7Os55//nn169evRn4hNXtwqkBoaKh8fX2Vk5PjMj0nJ0eRkZFeqgqeMGHCBL399tvasGGDGjdu7O1yPMrPz0+tWrVSXFycUlNT1bFjRz3++OPeLqvKZWVlKTc3V3/5y19Uq1Yt1apVS5s2bdKCBQtUq1YtFRcXe7tEjwsODtall16qXbt2ebsUj4iKiioVzNu0aWPqw3KS9PPPP+uDDz7Qrbfe6u1SvIKAUwX8/PwUFxenjIwM5zSHw6GMjAxTn7NQkxiGoQkTJmjNmjVav369mjdv7u2Sqp3D4VBhYaG3y6hyvXv31pdffqkdO3Y4H/Hx8Ro2bJh27NghX19fb5focceOHdMPP/ygqKgob5fiEVdeeWWp2zp89913atq0qZcqqh5Lly5VeHi4BgwY4O1SvIJDVFUkJSVFI0eOVHx8vLp06aL58+eroKBAycnJ3i7NI44dO+by197u3bu1Y8cONWjQQE2aNPFiZZ4xfvx4rVixQm+++abq16/vPLcqKChIderU8XJ1VW/GjBnq16+fmjRpoqNHj2rFihXauHGj3n//fW+XVuXq169f6lyqunXrqmHDhqY9x2rq1Km69tpr1bRpU/3yyy+aNWuWfH19dfPNN3u7NI+YPHmyunXrpvvvv1833XSTtm7dqmeeeUbPPPOMt0vzGIfDoaVLl2rkyJGqVauGbuq9fRmXmTzxxBNGkyZNDD8/P6NLly7GJ5984u2SPGbDhg2GpFKPkSNHers0j3A3VknG0qVLvV2aR9xyyy1G06ZNDT8/PyMsLMzo3bu3sW7dOm+XVW3Mfpn4kCFDjKioKMPPz89o1KiRMWTIEGPXrl3eLsuj3nrrLaNdu3aG1Wo1YmNjjWeeecbbJXnU+++/b0gysrOzvV2K11gMwzC8E60AAAA8g3NwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6fx/GzCQwbNno3wAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"12\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"13\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"14\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"15\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"16\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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XqSILFixQRkaG+vTpo3vvvVcNGjTQyy+/rKKiIj355JOXNNaauuuuu/T444/rrrvuUo8ePfTJJ59U+MZcXdX5fktnXq/FixdrwYIFateunSIjI8udoZHOnHl74oknNH78ePXr10933HGH6zbxVq1aafr06Rfd1/Pdcsstmj9/vrZs2eK65FTT362wsDCtXbtWN910k7p16+a2kvGOHTv0t7/97aJCSm5urr7++mtNmTLl4gcI8/LOzVuA5918881GQECAUVBQUGmdcePGGX5+fsbRo0cNwzCMI0eOGMOGDTOCgoKMsLAw4+677zZ27dpV7rbh0tJS47777jMiIiIMi8Xidiv0iRMnjOnTpxuxsbGGn5+fcdVVVxlPPfWU2+3AZZYtW2Z0797dsFqtRlhYmNGvXz/XLbdlXnzxRSM+Pt7w8/MzoqKijMmTJxu//PKLW51+/foZ11xzTbn2y255fuqppyoc/759+4wxY8YY0dHRhp+fn9GsWTPjN7/5jfGPf/zDVaei28S/++47IykpyWjUqJERHh5uTJw40fjqq69q9DrpvFuuDcMwduzYYSQnJxuNGjUygoKCjBtuuMH4/PPP3eqU3Sa+fft2t/LKbvM/X9mt3UeOHKm0TmFhoTFhwgQjJCTEaNy4sXH77bcbubm5ld4mfn5bZX3cv3+/W/mFvt82m80YMmSI0bhxY0OS65bxysb2xhtvuNpr0qSJMWrUKOOnn35yqzN27FijYcOGlb4O1dGlSxdjwoQJrucX87tlGGdu+58+fbpx9dVXGwEBAUZQUJCRkJBgPProo0Z+fr6rXmU/z+dbvHixERQUZNjt9mqNA/WLxTAuk1lwAIDL0v/93/9pypQpOnDggNsCgt7WvXt39e/f320BTaAMc3AAAFUaNWqUWrRoUeGEYm9JT0/X999/r9TUVG93BZcpzuAAAADT4QwOAAAwHY8GnE8++UQ333yzYmNjZbFYqvWBaJs3b9avfvUrWa1WtWvXrsJP9F20aJFatWqlgIAAJSYmatu2bbXfeQAAcMXyaMApKChQ165dq33ddv/+/RoyZIhuuOEG7dy5U9OmTdNdd92ljz76yFXnjTfeUEpKiubMmaMdO3aoa9euSk5OrvBWXgAAUD/V2Rwci8WitWvXaujQoZXWeeihh/T+++9r165drrKRI0cqLy9P6enpks58zsm1117rWkjN6XQqLi5O9913n2bNmuXRMQAAgCvDZbXQX2ZmZrll45OTkzVt2jRJZ5aoz8rKcps17+Pjo6SkJGVmZlbablFRkdsqnE6nU8ePH1fTpk35gDYAAK4QhmHoxIkTio2NlY9P1RehLquAY7PZFBUV5VYWFRUlu92uU6dO6ZdffpHD4aiwTtln/VQkLS1Nc+fO9UifAQBA3Tp48KCaN29eZZ3LKuB4SmpqqlJSUlzP8/Pz1aJFCx08eLBWPt/mzxn/1orPf5DDWf5qn6+PReN6t9L0/7n6ko8DAEB9ZrfbFRcX5/ZhxpW5rAJOdHS0cnJy3MpycnIUHByswMBA+fr6ytfXt8I60dHRlbZrtVpltVrLlQcHB9dKwBnTr4Ne/yJHPhXMZrJYpLH9Oig4uOElHwcAAKha00suq3VwevXqpQ0bNriVZWRkuD6Ezd/fXwkJCW51nE6nNmzY4NVPk20d3lBPDOsin3Neb1+LRT4W6YlhXdQqnHADAEBd8ugZnJMnT2rv3r2u5/v379fOnTvVpEkTtWjRQqmpqTp06JD+8pe/SJLuuecevfjii3rwwQd15513auPGjfr73/+u999/39VGSkqKxo4dqx49eqhnz55auHChCgoKNH78eE8O5YKG94hTp2bBGvzcp5Kk8X1aaXRiS8INAABe4NGA88UXX+iGG25wPS+bBzN27FitWLFChw8f1oEDB1zbW7durffff1/Tp0/Xc889p+bNm+u1115TcnKyq86IESN05MgRzZ49WzabTd26dVN6enq5icfe0LLp2TCT8j9XK8j/sroCCABAvVEvP4vKbrcrJCRE+fn5tTIHp0xhcak6zj6zKOF385IJOAAA1KKavH9fVnNwAAAAagMBBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmE6dBJxFixapVatWCggIUGJiorZt21Zp3f79+8tisZR7DBkyxFVn3Lhx5bYPGjSoLoYCAMAVzTAMOZyGShxOFZU6dLrEocLiUhUUlerE6RLlnypRXmGxjhcU6+jJIuWeOK0c+2kdzj+ln/NO6adfCnXweKF+PFag/UcLtO/ISe3NPaF/55zQHptduw/blWM/7e1hqoGnD/DGG28oJSVFS5YsUWJiohYuXKjk5GRlZ2crMjKyXP233npLxcXFrufHjh1T165dNXz4cLd6gwYN0vLly13PrVar5wYBAMAlMgxDTkNyGoachiHDkIxznjuNC9c5+7X++7ysrPp1DMPzYw3y9/X8QS7A4wHn2Wef1cSJEzV+/HhJ0pIlS/T+++9r2bJlmjVrVrn6TZo0cXu+evVqBQUFlQs4VqtV0dHRnus4AMB0ikud54WA8sHCqCRoOC+xTl0EC5zl0YBTXFysrKwspaamusp8fHyUlJSkzMzMarWxdOlSjRw5Ug0bNnQr37x5syIjIxUWFqYbb7xRCxYsUNOmTStso6ioSEVFRa7ndrv9IkYDALhSlDicKix26FTxmcsvhcUOnSpxqNRByqgvPBpwjh49KofDoaioKLfyqKgo7dmz54L7b9u2Tbt27dLSpUvdygcNGqTf/e53at26tfbt26c//OEPGjx4sDIzM+XrW/60WFpamubOnXtpgwEAXHYcTkOnShwqLDoTYs4EmVIVlxJk6juPX6K6FEuXLlXnzp3Vs2dPt/KRI0e6vu7cubO6dOmitm3bavPmzRowYEC5dlJTU5WSkuJ6brfbFRcX57mOAwBqlWH8N8i4zsqcOTNzusTp7a7hMuXRgBMeHi5fX1/l5OS4lefk5Fxw/kxBQYFWr16tefPmXfA4bdq0UXh4uPbu3VthwLFarUxCBoArxOmS/4aYc87MnC5xyMlJGdSARwOOv7+/EhIStGHDBg0dOlSS5HQ6tWHDBk2dOrXKfdesWaOioiKNHj36gsf56aefdOzYMcXExNRGtwEAdaDE4VRhkUOFJaVuZ2YcJBnUAo9fokpJSdHYsWPVo0cP9ezZUwsXLlRBQYHrrqoxY8aoWbNmSktLc9tv6dKlGjp0aLmJwydPntTcuXM1bNgwRUdHa9++fXrwwQfVrl07JScne3o4AIAacjgNFRaXnnNpiXky8DyPB5wRI0boyJEjmj17tmw2m7p166b09HTXxOMDBw7Ix8d9vcHs7Gx9+umnWr9+fbn2fH199fXXX+v1119XXl6eYmNjNXDgQM2fP5/LUADgRefOkzn3zEwR82TgBRbDqH935tvtdoWEhCg/P1/BwcG11m5hcak6zv5IkvTdvGQF+V/Wc7gB4KKdLjk70feU66yMg7VeIEmKDQ1Qy6YNL1yxhmry/s07MACgUsWlzv9O+C11nZk5VcI8GVz+CDgAAJU6nCoscb8F+1SxQyUsjIcrFAEHqCNlV4MNQzLOKTv7tVT2rOw0v+tfGed8fU5b59TReftf6Bhyq1P5vuf2o+ZjrmKbqm606n2r2u8C7V7kMWvGM6HAE5d/HIbBPBmYEgHHJAqLS5VjL6r0P/eKSiuuWr6wonrVba+iN7EK613CvpW5pP5U2J7htv3s0/PDx9n65wYIAEDdIeCYRFGJU7Z87388PQAAlwOfC1cBAAC4shBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6dRJwFm0aJFatWqlgIAAJSYmatu2bZXWXbFihSwWi9sjICDArY5hGJo9e7ZiYmIUGBiopKQkff/9954eBgAAuEJ4POC88cYbSklJ0Zw5c7Rjxw517dpVycnJys3NrXSf4OBgHT582PX48ccf3bY/+eSTev7557VkyRJt3bpVDRs2VHJysk6fPu3p4QAAgCuAxwPOs88+q4kTJ2r8+PHq2LGjlixZoqCgIC1btqzSfSwWi6Kjo12PqKgo1zbDMLRw4UL96U9/0i233KIuXbroL3/5i37++We9/fbbnh4OAAC4Ang04BQXFysrK0tJSUlnD+jjo6SkJGVmZla638mTJ9WyZUvFxcXplltu0bfffuvatn//ftlsNrc2Q0JClJiYWGmbRUVFstvtbg8AAGBeHg04R48elcPhcDsDI0lRUVGy2WwV7tO+fXstW7ZM77zzjv7617/K6XSqd+/e+umnnyTJtV9N2kxLS1NISIjrERcXd6lDAwAAl7HL7i6qXr16acyYMerWrZv69eunt956SxEREXr55Zcvus3U1FTl5+e7HgcPHqzFHgMAgMuNRwNOeHi4fH19lZOT41aek5Oj6OjoarXh5+en7t27a+/evZLk2q8mbVqtVgUHB7s9AACAeXk04Pj7+yshIUEbNmxwlTmdTm3YsEG9evWqVhsOh0PffPONYmJiJEmtW7dWdHS0W5t2u11bt26tdpsAAMDcGnj6ACkpKRo7dqx69Oihnj17auHChSooKND48eMlSWPGjFGzZs2UlpYmSZo3b55+/etfq127dsrLy9NTTz2lH3/8UXfddZekM3dYTZs2TQsWLNBVV12l1q1b6+GHH1ZsbKyGDh3q6eEAAIArgMcDzogRI3TkyBHNnj1bNptN3bp1U3p6umuS8IEDB+Tjc/ZE0i+//KKJEyfKZrMpLCxMCQkJ+vzzz9WxY0dXnQcffFAFBQWaNGmS8vLy1KdPH6Wnp5dbEBAAANRPFsMwDG93oq7Z7XaFhIQoPz+/VufjFBaXquPsjyRJ381LVpC/x/Ojyy8FxdpjO1FnxwMAoDKxoQFq2bRhrbdbk/fvy+4uKgAAgEtFwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZTJwFn0aJFatWqlQICApSYmKht27ZVWvfVV1/V9ddfr7CwMIWFhSkpKalc/XHjxslisbg9Bg0a5OlhAACAK4THA84bb7yhlJQUzZkzRzt27FDXrl2VnJys3NzcCutv3rxZd9xxhzZt2qTMzEzFxcVp4MCBOnTokFu9QYMG6fDhw67H3/72N08PBQAAXCE8HnCeffZZTZw4UePHj1fHjh21ZMkSBQUFadmyZRXWX7lype69915169ZN8fHxeu211+R0OrVhwwa3elarVdHR0a5HWFiYp4cCAACuEB4NOMXFxcrKylJSUtLZA/r4KCkpSZmZmdVqo7CwUCUlJWrSpIlb+ebNmxUZGan27dtr8uTJOnbsWKVtFBUVyW63uz0AAIB5eTTgHD16VA6HQ1FRUW7lUVFRstls1WrjoYceUmxsrFtIGjRokP7yl79ow4YNeuKJJ7RlyxYNHjxYDoejwjbS0tIUEhLiesTFxV38oAAAwGWvgbc7UJXHH39cq1ev1ubNmxUQEOAqHzlypOvrzp07q0uXLmrbtq02b96sAQMGlGsnNTVVKSkprud2u52QAwCAiXn0DE54eLh8fX2Vk5PjVp6Tk6Po6Ogq93366af1+OOPa/369erSpUuVddu0aaPw8HDt3bu3wu1Wq1XBwcFuDwAAYF4eDTj+/v5KSEhwmyBcNmG4V69ele735JNPav78+UpPT1ePHj0ueJyffvpJx44dU0xMTK30GwAAXNk8fhdVSkqKXn31Vb3++uvavXu3Jk+erIKCAo0fP16SNGbMGKWmprrqP/HEE3r44Ye1bNkytWrVSjabTTabTSdPnpQknTx5Ur///e/1r3/9Sz/88IM2bNigW265Re3atVNycrKnhwMAAK4AHp+DM2LECB05ckSzZ8+WzWZTt27dlJ6e7pp4fODAAfn4nM1ZixcvVnFxsW677Ta3dubMmaNHHnlEvr6++vrrr/X6668rLy9PsbGxGjhwoObPny+r1erp4QAAgCuAxTAMw9udqGt2u10hISHKz8+v1fk4hcWl6jj7I0nSd/OSFeRfd3O4fyko1h7biTo7HgAAlYkNDVDLpg1rvd2avH/zWVQAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0Gni7A8CV4nD+KW3OPqIjJ4sU0ciq/u0jFBMS6O1uAQAqQMABqmFzdq5e+ed/ZJFkSLJIevfrn3V33zbqd3Wkl3sHADgfl6iACzicf0qv/PM/MgzJacjt35c/+Y9s+ae93UUAwHkIOMAFbM4+Iksl2yySNmXn1mV3AADVQMABLuDIySIZlWwz/rsdAHB5IeAAFxDRyFrlGZyIRta67A4AoBoIOMAF9G8fUeUZnBvaM8kYAC43BBzgAmJCAnV33zaynHMax8ciWSzS3X3bKDokwHudAwBUiNvEgWrod3WkWjVtqFlvfSNJGtQpWv/TIdrU4YZ1fwBcyQg4QDVFBZ8NM8MT4hTg5+vF3ngW6/4AuNJxiQqAG9b9AWAGBBwAblj3B4AZEHAAuGHdHwBmQMAB4IZ1fwCYQZ0EnEWLFqlVq1YKCAhQYmKitm3bVmX9NWvWKD4+XgEBAercubM++OADt+2GYWj27NmKiYlRYGCgkpKS9P3333tyCEC9wbo/AMzA43dRvfHGG0pJSdGSJUuUmJiohQsXKjk5WdnZ2YqMLP8f5eeff6477rhDaWlp+s1vfqNVq1Zp6NCh2rFjhzp16iRJevLJJ/X888/r9ddfV+vWrfXwww8rOTlZ3333nQICqn/bbmFxqRoUl9baWAvPaauwFtutjlPFDp0ucdTpMeubonNe3yITv9ZhQf66s3drLftsvyvo+FjOhJs7e7dWaJAfP2sAqnSq2OGR98GatGkxDKOyP9ZqRWJioq699lq9+OKLkiSn06m4uDjdd999mjVrVrn6I0aMUEFBgd577z1X2a9//Wt169ZNS5YskWEYio2N1YwZMzRz5kxJUn5+vqKiorRixQqNHDmyXJtFRUUqKjo7b8ButysuLk5x0/4uH2tQbQ8ZAAB4gLOoUAcX3q78/HwFBwdXWdejl6iKi4uVlZWlpKSkswf08VFSUpIyMzMr3CczM9OtviQlJye76u/fv182m82tTkhIiBITEyttMy0tTSEhIa5HXFzcpQ4NAABcxjx6iero0aNyOByKiopyK4+KitKePXsq3Mdms1VY32azubaXlVVW53ypqalKSUlxPS87g7PtjwMumACvFHkFJcrOOVGnxywqceielTskSUtG/UpWEy98B3P75/dHtPyzHyq8JNfnqnBvds1j6tvvL+Ot2/HGhASoRdPav0Jit9sVs7B6devFSsZWq1VWa/k7P4L8GyjI3xwvQVGJ06sr61r9fE29si/M63D+KS3//Ae3idXO/z5Z9vl+dWoWYuqP5JDq3+8v4/W8QH9fj7y/ltagTY9eogoPD5evr69ycnLcynNychQdHV3hPtHR0VXWL/u3Jm0CQGVY2BAwJ48GHH9/fyUkJGjDhg2uMqfTqQ0bNqhXr14V7tOrVy+3+pKUkZHhqt+6dWtFR0e71bHb7dq6dWulbQJAZVjYEDAnj6+Dk5KSoldffVWvv/66du/ercmTJ6ugoEDjx4+XJI0ZM0apqamu+g888IDS09P1zDPPaM+ePXrkkUf0xRdfaOrUqZIki8WiadOmacGCBVq3bp2++eYbjRkzRrGxsRo6dKinh4Nz2OxnP5NoTdZBHc4/5cXeABeHhQ0Bc/L4BJQRI0boyJEjmj17tmw2m7p166b09HTXJOEDBw7Ix+dszurdu7dWrVqlP/3pT/rDH/6gq666Sm+//bZrDRxJevDBB1VQUKBJkyYpLy9Pffr0UXp6eo3WwMGlKfu06TLpu2z6cJeNT5vGFad/+wi9+/XPFW5jYUPgylUnM2ynTp3qOgNzvs2bN5crGz58uIYPH15pexaLRfPmzdO8efNqq4uogXM/bbpM2aTMlz/5j9pHBZt+UibMIyYkUHf3baOXP/mPLDoTasr+vbtvG36WgSuUOW4hQp0qm5RZ0byFskmZd/RsUce9Ai5ev6sj1T4qWJuyc3XkZJEiGll1Q/tIwg1wBSPgoMaYlAkzig4JIJgDJsKniaPGmJQJALjcEXBQY3zaNADgckfAQY2VTcq0WM4saX/uv0zKBABcDpiDg4vCpEwAwOWMgIOLxqRMALg8nb8Qa1KHKMWEBHqxR3WPS1QAAJjI5uxc/WHtN67n6btsmrHmK235d/36XDUCDgAAJlHZQqyGcWYhVlv+6cp3NhkCDgAAJlG2EGtFyhZirS8IOAAAmAQLsZ5FwAEAwCRYiPUsAg4AACbBQqxnEXAAADAJFmI9i3VwAAAwERZiPYOAAwCAybAQK5eoAAD1wPkr+x7OP+XF3qAuEHAAAKbGyr71EwEHAGBarOxbfxFwAACmxcq+9RcBBwBgWqzsW38RcAAApsXKvvUXAQcAYFqs7Ft/EXAAAKbFyr71Fwv9AQBMjZV96ycCDgDA9FjZt/7hEhUAADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdjwac48ePa9SoUQoODlZoaKgmTJigkydPVln/vvvuU/v27RUYGKgWLVro/vvvV35+vls9i8VS7rF69WpPDgUAAFxBPPpRDaNGjdLhw4eVkZGhkpISjR8/XpMmTdKqVasqrP/zzz/r559/1tNPP62OHTvqxx9/1D333KOff/5Z//jHP9zqLl++XIMGDXI9Dw0N9eRQAADAFcRjAWf37t1KT0/X9u3b1aNHD0nSCy+8oJtuuklPP/20YmNjy+3TqVMnvfnmm67nbdu21aOPPqrRo0ertLRUDRqc7W5oaKiio6M91X0AAHAF89glqszMTIWGhrrCjSQlJSXJx8dHW7durXY7+fn5Cg4Odgs3kjRlyhSFh4erZ8+eWrZsmQzDqLSNoqIi2e12twcAADAvj53BsdlsioyMdD9YgwZq0qSJbDZbtdo4evSo5s+fr0mTJrmVz5s3TzfeeKOCgoK0fv163XvvvTp58qTuv//+CttJS0vT3LlzL24gAADgilPjMzizZs2qcJLvuY89e/ZccsfsdruGDBmijh076pFHHnHb9vDDD+u6665T9+7d9dBDD+nBBx/UU089VWlbqampys/Pdz0OHjx4yf0DAACXrxqfwZkxY4bGjRtXZZ02bdooOjpaubm5buWlpaU6fvz4BefOnDhxQoMGDVLjxo21du1a+fn5VVk/MTFR8+fPV1FRkaxWa7ntVqu1wnIAAGBONQ44ERERioiIuGC9Xr16KS8vT1lZWUpISJAkbdy4UU6nU4mJiZXuZ7fblZycLKvVqnXr1ikgIOCCx9q5c6fCwsIIMQAAQJIHJxl36NBBgwYN0sSJE7Vt2zZ99tlnmjp1qkaOHOm6g+rQoUOKj4/Xtm3bJJ0JNwMHDlRBQYGWLl0qu90um80mm80mh8MhSXr33Xf12muvadeuXdq7d68WL16sxx57TPfdd5+nhgIApmOzn3Z9vSbroA7nn/Jib4Da59F1cFauXKmpU6dqwIAB8vHx0bBhw/T888+7tpeUlCg7O1uFhYWSpB07drjusGrXrp1bW/v371erVq3k5+enRYsWafr06TIMQ+3atdOzzz6riRMnenIoAGAam7Nz9co//+N6nr7Lpg932XR33zbqd3VkFXsCVw6LUdX91SZlt9sVEhLiugXdDH4pKNYe2wlvdwPAZe5w/inNWPOVKvqf32KRnh3eTdEhF54aAFQlNjRALZs2rPV2a/L+zWdRAUA9sjn7iCyVbLNI2pSdW8lW4MpCwAGAeuTIySJVdtre+O92wAwIOABQj0Q0slZ5BieiEXejwhwIOABQj/RvH1HlGZwb2jPJGOZAwAGAeiQmJFB3920ji0Xyscjt37v7tmGCMUzDo7eJAwAuP/2ujlT7qGBtys7VkZNFimhk1Q3tIwk3MBUCDgDUQ9EhAbqjZwtvdwPwGC5RAQAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0/FowDl+/LhGjRql4OBghYaGasKECTp58mSV+/Tv318Wi8Xtcc8997jVOXDggIYMGaKgoCBFRkbq97//vUpLSz05FAAAcAVp4MnGR40apcOHDysjI0MlJSUaP368Jk2apFWrVlW538SJEzVv3jzX86CgINfXDodDQ4YMUXR0tD7//HMdPnxYY8aMkZ+fnx577DGPjQUAAFw5PBZwdu/erfT0dG3fvl09evSQJL3wwgu66aab9PTTTys2NrbSfYOCghQdHV3htvXr1+u7777Txx9/rKioKHXr1k3z58/XQw89pEceeUT+/v4eGQ8AALhyeOwSVWZmpkJDQ13hRpKSkpLk4+OjrVu3VrnvypUrFR4erk6dOik1NVWFhYVu7Xbu3FlRUVGusuTkZNntdn377bcVtldUVCS73e72AAAA5uWxMzg2m02RkZHuB2vQQE2aNJHNZqt0v//93/9Vy5YtFRsbq6+//loPPfSQsrOz9dZbb7naPTfcSHI9r6zdtLQ0zZ0791KGAwAAriA1DjizZs3SE088UWWd3bt3X3SHJk2a5Pq6c+fOiomJ0YABA7Rv3z61bdv2otpMTU1VSkqK67ndbldcXNxF9xEAAFzeahxwZsyYoXHjxlVZp02bNoqOjlZubq5beWlpqY4fP17p/JqKJCYmSpL27t2rtm3bKjo6Wtu2bXOrk5OTI0mVtmu1WmW1Wqt9TAAAcGWrccCJiIhQRETEBev16tVLeXl5ysrKUkJCgiRp48aNcjqdrtBSHTt37pQkxcTEuNp99NFHlZub67oElpGRoeDgYHXs2LGGowEAAGbksUnGHTp00KBBgzRx4kRt27ZNn332maZOnaqRI0e67qA6dOiQ4uPjXWdk9u3bp/nz5ysrK0s//PCD1q1bpzFjxqhv377q0qWLJGngwIHq2LGj/t//+3/66quv9NFHH+lPf/qTpkyZwlkaAAAgycML/a1cuVLx8fEaMGCAbrrpJvXp00evvPKKa3tJSYmys7Ndd0n5+/vr448/1sCBAxUfH68ZM2Zo2LBhevfdd137+Pr66r333pOvr6969eql0aNHa8yYMW7r5gAAgPrNYhiG4e1O1DW73a6QkBDl5+crODjY292pFb8UFGuP7YS3uwEAgGJDA9SyacNab7cm7998FhUAADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADCdBt7uAGpHgJ+vmoUGypBR4XajguKKahoVVKy4XoVHuYTjVlSvmu1VPORq71/hvhfoj2GcHYdhGOd8faZm+TpnX1ujBv0AAFwcAo5JBPr7qkXTIG93AzVkGIYr7BgqH4KMc8LS2X3cyysNWq52qz5GWR251TmnXFUHsqqyWkWB+dxxXKyq+1N1wxc7lpqoatyX1K4H2nQ4DZ0qduhUiYPgDVMh4ABeZLFYZLG4lXirK6jnnE5Dp0ocKix26FSxQ4UlpSosdqioxOntrgEXhYADAJCPj0UNrQ3U0Or+tuBwGiosLj0TeoodKvjv1yUOTvfg8kbAAQBUytfHosYBfmoc4OdWXlzqdDvTUxaAHE6CDy4PBBwAQI35N/CRfwMfhcg9+JwuORN2Cs4568P8HngDAQcAUGsC/HwV4OersIb+rjLDOG9+T7FDhcWlOs38HniQR9fBOX78uEaNGqXg4GCFhoZqwoQJOnnyZKX1f/jhh/9Ouiz/WLNmjateRdtXr17tyaEAAC6SxWJRkH8DhTeyKq5JkNpHN1b3FmHq2bqJOjULVtuIhooJCVBIoJ/8GzDRHrXDo2dwRo0apcOHDysjI0MlJSUaP368Jk2apFWrVlVYPy4uTocPH3Yre+WVV/TUU09p8ODBbuXLly/XoEGDXM9DQ0Nrvf8AAM+pbH5PicPpOttTdqnrVIlDpUxsRg14LODs3r1b6enp2r59u3r06CFJeuGFF3TTTTfp6aefVmxsbLl9fH19FR0d7Va2du1a3X777WrUqJFbeWhoaLm6AIArn5+vj0ICfRQSWPH8nsISh04Vn53czLxmVMRjl6gyMzMVGhrqCjeSlJSUJB8fH23durVabWRlZWnnzp2aMGFCuW1TpkxReHi4evbsqWXLllW5sFZRUZHsdrvbAwBwZSmb29MsNFDtIhurS/NQ9WzdRN3iQnVVVCM1DwtUk4b+CvDzOW99KdRHHjuDY7PZFBkZ6X6wBg3UpEkT2Wy2arWxdOlSdejQQb1793Yrnzdvnm688UYFBQVp/fr1uvfee3Xy5Endf//9FbaTlpamuXPnXtxAAACXLYvFokB/XwX6+7qVO1wLF5a6TWwuLuV0T31R44Aza9YsPfHEE1XW2b1790V3qMypU6e0atUqPfzww+W2nVvWvXt3FRQU6Kmnnqo04KSmpiolJcX13G63Ky4u7pL7CAC4PPn6WNTI2kCNKli40GmceRiG/vv1mX8N53//lSqu4zRcH5Xi2uec/Z1l+1dWx2lwOa0O1TjgzJgxQ+PGjauyTps2bRQdHa3c3Fy38tLSUh0/frxac2f+8Y9/qLCwUGPGjLlg3cTERM2fP19FRUWyWq3ltlut1grLAQD1i6+PRb5e/kgU539DVlmQqixoVVrHefb52e0VB60K69SToFXjgBMREaGIiIgL1uvVq5fy8vKUlZWlhIQESdLGjRvldDqVmJh4wf2XLl2q3/72t9U61s6dOxUWFkaIAQBc9nx8LPK5DD53zuk6m3X2Q3kvNmiV1SkLUYF+vhc6vMd5bA5Ohw4dNGjQIE2cOFFLlixRSUmJpk6dqpEjR7ruoDp06JAGDBigv/zlL+rZs6dr37179+qTTz7RBx98UK7dd999Vzk5Ofr1r3+tgIAAZWRk6LHHHtPMmTM9NRQAAEzncglanuLRdXBWrlypqVOnasCAAfLx8dGwYcP0/PPPu7aXlJQoOztbhYWFbvstW7ZMzZs318CBA8u16efnp0WLFmn69OkyDEPt2rXTs88+q4kTJ3pyKAAA4ApiMaq6v9qk7Ha7QkJClJ+fr+DgYG93BwAAVENN3r89+lENAAAA3kDAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApuOxgPPoo4+qd+/eCgoKUmhoaLX2MQxDs2fPVkxMjAIDA5WUlKTvv//erc7x48c1atQoBQcHKzQ0VBMmTNDJkyc9MAIAAHCl8ljAKS4u1vDhwzV58uRq7/Pkk0/q+eef15IlS7R161Y1bNhQycnJOn36tKvOqFGj9O233yojI0PvvfeePvnkE02aNMkTQwAAAFcoi2EYhicPsGLFCk2bNk15eXlV1jMMQ7GxsZoxY4ZmzpwpScrPz1dUVJRWrFihkSNHavfu3erYsaO2b9+uHj16SJLS09N100036aefflJsbGy1+mS32xUSEqL8/HwFBwdf0vgAAEDdqMn7d4M66tMF7d+/XzabTUlJSa6ykJAQJSYmKjMzUyNHjlRmZqZCQ0Nd4UaSkpKS5OPjo61bt+rWW2+tsO2ioiIVFRW5nufn50s680IBAIArQ9n7dnXOzVw2Acdms0mSoqKi3MqjoqJc22w2myIjI922N2jQQE2aNHHVqUhaWprmzp1brjwuLu5Suw0AAOrYiRMnFBISUmWdGgWcWbNm6Yknnqiyzu7duxUfH1+TZj0uNTVVKSkprudOp1PHjx9X06ZNZbFYavVYdrtdcXFxOnjwYL24/MV4zY3xmhvjNTczjtcwDJ04caJaU1JqFHBmzJihcePGVVmnTZs2NWnSJTo6WpKUk5OjmJgYV3lOTo66devmqpObm+u2X2lpqY4fP+7avyJWq1VWq9WtrLp3dl2s4OBg0/xAVQfjNTfGa26M19zMNt4LnbkpU6OAExERoYiIiIvq0IW0bt1a0dHR2rBhgyvQ2O12bd261XUnVq9evZSXl6esrCwlJCRIkjZu3Cin06nExESP9AsAAFx5PHab+IEDB7Rz504dOHBADodDO3fu1M6dO93WrImPj9fatWslSRaLRdOmTdOCBQu0bt06ffPNNxozZoxiY2M1dOhQSVKHDh00aNAgTZw4Udu2bdNnn32mqVOnauTIkdW+gwoAAJifxyYZz549W6+//rrreffu3SVJmzZtUv/+/SVJ2dnZrjuaJOnBBx9UQUGBJk2apLy8PPXp00fp6ekKCAhw1Vm5cqWmTp2qAQMGyMfHR8OGDdPzzz/vqWHUmNVq1Zw5c8pdEjMrxmtujNfcGK+51bfxns/j6+AAAADUNT6LCgAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BpxYtWrRIrVq1UkBAgBITE7Vt2zZvd8ljPvnkE918882KjY2VxWLR22+/7e0ueVRaWpquvfZaNW7cWJGRkRo6dKiys7O93S2PWbx4sbp06eJaAbVXr1768MMPvd2tOvH444+71uUyq0ceeUQWi8Xtcbl9xE5tO3TokEaPHq2mTZsqMDBQnTt31hdffOHtbnlEq1atyn1/LRaLpkyZ4u2u1SkCTi154403lJKSojlz5mjHjh3q2rWrkpOTy320hFkUFBSoa9euWrRokbe7Uie2bNmiKVOm6F//+pcyMjJUUlKigQMHqqCgwNtd84jmzZvr8ccfV1ZWlr744gvdeOONuuWWW/Ttt996u2setX37dr388svq0qWLt7vicddcc40OHz7senz66afe7pLH/PLLL7ruuuvk5+enDz/8UN99952eeeYZhYWFebtrHrF9+3a3721GRoYkafjw4V7uWR0zUCt69uxpTJkyxfXc4XAYsbGxRlpamhd7VTckGWvXrvV2N+pUbm6uIcnYsmWLt7tSZ8LCwozXXnvN293wmBMnThhXXXWVkZGRYfTr18944IEHvN0lj5kzZ47RtWtXb3ejzjz00ENGnz59vN0Nr3nggQeMtm3bGk6n09tdqVOcwakFxcXFysrKUlJSkqvMx8dHSUlJyszM9GLP4CllK3A3adLEyz3xPIfDodWrV6ugoEC9evXydnc8ZsqUKRoyZIjb77GZff/994qNjVWbNm00atQoHThwwNtd8ph169apR48eGj58uCIjI9W9e3e9+uqr3u5WnSguLtZf//pX3XnnnbJYLN7uTp0i4NSCo0ePyuFwKCoqyq08KipKNpvNS72CpzidTk2bNk3XXXedOnXq5O3ueMw333yjRo0ayWq16p577tHatWvVsWNHb3fLI1avXq0dO3YoLS3N212pE4mJiVqxYoXS09O1ePFi7d+/X9dff71OnDjh7a55xH/+8x8tXrxYV111lT766CNNnjxZ999/v9vHCZnV22+/rby8PI0bN87bXalzHvssKsCspkyZol27dpl6zoIktW/fXjt37lR+fr7+8Y9/aOzYsdqyZYvpQs7Bgwf1wAMPKCMjw+1z78xs8ODBrq+7dOmixMREtWzZUn//+981YcIEL/bMM5xOp3r06KHHHntM0pnPRty1a5eWLFmisWPHerl3nrV06VINHjy4Xn4gNWdwakF4eLh8fX2Vk5PjVp6Tk6Po6Ggv9QqeMHXqVL333nvatGmTmjdv7u3ueJS/v7/atWunhIQEpaWlqWvXrnruuee83a1al5WVpdzcXP3qV79SgwYN1KBBA23ZskXPP/+8GjRoIIfD4e0uelxoaKiuvvpq7d2719td8YiYmJhywbxDhw6mviwnST/++KM+/vhj3XXXXd7uilcQcGqBv7+/EhIStGHDBleZ0+nUhg0bTD1noT4xDENTp07V2rVrtXHjRrVu3drbXapzTqdTRUVF3u5GrRswYIC++eYb7dy50/Xo0aOHRo0apZ07d8rX19fbXfS4kydPat++fYqJifF2VzziuuuuK7esw7///W+1bNnSSz2qG8uXL1dkZKSGDBni7a54BZeoaklKSorGjh2rHj16qGfPnlq4cKEKCgo0fvx4b3fNI06ePOn2197+/fu1c+dONWnSRC1atPBizzxjypQpWrVqld555x01btzYNbcqJCREgYGBXu5d7UtNTdXgwYPVokULnThxQqtWrdLmzZv10Ucfebtrta5x48bl5lI1bNhQTZs2Ne0cq5kzZ+rmm29Wy5Yt9fPPP2vOnDny9fXVHXfc4e2uecT06dPVu3dvPfbYY7r99tu1bds2vfLKK3rllVe83TWPcTqdWr58ucaOHasGDerpW723b+MykxdeeMFo0aKF4e/vb/Ts2dP417/+5e0uecymTZsMSeUeY8eO9XbXPKKisUoyli9f7u2uecSdd95ptGzZ0vD39zciIiKMAQMGGOvXr/d2t+qM2W8THzFihBETE2P4+/sbzZo1M0aMGGHs3bvX293yqHfffdfo1KmTYbVajfj4eOOVV17xdpc86qOPPjIkGdnZ2d7uitdYDMMwvBOtAAAAPIM5OAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHT+P7HCAl9lNpAfAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"17\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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65ZVXyj2NUdHrVJ558+YpMzNTV155pe666y4FBATohRdekMPh0GOPPXZBx1pdt912mx555BHddttt6tGjhzZu3FjuG3NVVeXnLZ18vRYuXKh58+apffv2io6OLjNCI50ceXv00Uc1btw49e3bVzfddJN7mnjr1q01ZcqU8671bNddd53mzp2rDRs2uE85VfdvKzIyUmvWrNE111yj7t27e9zJeNu2bfr3v/99XiElLy9PX3zxhSZOnHj+Bwjz8s3kLcD7rr32WiM4ONgoLCyssM3YsWONwMBA49ChQ4ZhGMbBgweNYcOGGaGhoUZkZKRx++23Gzt27CgzbbikpMS4++67jaioKMNisXhMhT569KgxZcoUIz4+3ggMDDQuvvhi4/HHH/eYDlxq6dKlxmWXXWZYrVYjMjLS6Nu3r3vKbannnnvOSExMNAIDA42YmBjjzjvvNH799VePNn379jUuvfTSMv2XTnl+/PHHyz3+77//3hg9erQRGxtrBAYGGi1atDB+//vfG//973/dbcqbJv71118bKSkpRuPGjY3mzZsb48ePNz7//PNqvU46a8q1YRjGtm3bjNTUVKNx48ZGaGio0b9/f+Pjjz/2aFM6TXzr1q0e6yua5n+20qndBw8erLDNsWPHjFtvvdUIDw83mjRpYtx4441GXl5ehdPEz+6rtMbdu3d7rD/Xz9tmsxlDhgwxmjRpYkhyTxmv6Nhefvlld39NmzY1Ro0aZfz0008ebcaMGWM0atSowtehKrp27Wrceuut7uXz+dsyjJPT/qdMmWJccsklRnBwsBEaGmokJSUZDz30kJGfn+9uV9Hv89kWLlxohIaGGna7vUrHgYbFYhh15Co4AECd9M9//lMTJ07U3r17PW4g6GuXXXaZ+vXr53EDTaAU1+AAACo1atQotWzZstwLin0lIyND3333nWbMmOHrUlBHMYIDAABMhxEcAABgOl4NOBs3btS1116r+Ph4WSyWKn0gWlZWln7zm9/IarWqffv25X6i74IFC9S6dWsFBwcrOTlZW7ZsqfniAQBAveXVgFNYWKhu3bpV+bzt7t27NWTIEPXv31/bt2/X5MmTddttt+m9995zt3n55ZeVlpamWbNmadu2berWrZtSU1PLncoLAAAaplq7BsdisWjNmjUaOnRohW3uv/9+vf3229qxY4d73ciRI3XkyBFlZGRIOvk5J5dffrn7Rmoul0sJCQm6++67NX36dK8eAwAAqB/q1I3+Nm3aVOa28ampqZo8ebKkk7eoz87O9rhq3s/PTykpKdq0aVOF/TocDo+7cLpcLh0+fFjNmjXjA9oAAKgnDMPQ0aNHFR8fLz+/yk9C1amAY7PZFBMT47EuJiZGdrtdx48f16+//iqn01lum9LP+ilPenq6Zs+e7ZWaAQBA7dq3b58uuuiiStvUqYDjLTNmzFBaWpp7OT8/Xy1bttS+fftq5PNt/pb5rZZ/vEdOV9mzff5+Fo3t3VpTfnfJBT8PAAANmd1uV0JCgseHGVekTgWc2NhY5ebmeqzLzc1VWFiYQkJC5O/vL39//3LbxMbGVtiv1WqV1Wotsz4sLKxGAs7ovh310qe58ivnaiaLRRrTt6PCwhpd8PMAAABV6fKSOnUfnF69emnt2rUe6zIzM90fwhYUFKSkpCSPNi6XS2vXrvXpp8m2ad5Ijw7rKr8zXm9/i0V+FunRYV3VujnhBgCA2uTVEZyCggLt2rXLvbx7925t375dTZs2VcuWLTVjxgzt379f//jHPyRJd9xxh5577jndd999uuWWW7Ru3Tr95z//0dtvv+3uIy0tTWPGjFGPHj3Us2dPzZ8/X4WFhRo3bpw3D+WchvdIUOcWYRr89IeSpHFXttbNya0INwAA+IBXA86nn36q/v37u5dLr4MZM2aMli9frgMHDmjv3r3u7W3atNHbb7+tKVOm6Omnn9ZFF12kF198Uampqe42I0aM0MGDBzVz5kzZbDZ1795dGRkZZS489oVWzU6HmbTfXaLQoDp1BhAAgAajQX4Wld1uV3h4uPLz82vkGpxSx4pK1GnmyZsSfj0nlYADAEANqs77d526BgcAAKAmEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpBPi6AAAAUP+dKHaq0FGiQodTwUF+im4S7NN6CDgAAKBaikpcKnSUqMBRosKiEhU6SlRUYri3x0f4NtxIBBwAAFCJEqdLhQ6nCopKVHDiZKgpKnH5uqxzIuAAAABJktNluEdkSsPMieK6H2bKQ8ABAKABcrkMHSt2uoNMoaNEx4udMoxz71sfEHAAADA5wzB03CPMOHWsqEQuk4SZ8hBwAAAwmeNFTveoTIGjRMeKnHKaOc2Ug4ADAEA9dub07NJZTSXOhhVmykPAAQCgnjjX9GycRsABAKAOqq/Ts+sKAg4AAD5mpunZdQUBBwCAWmT26dl1BQEHAAAvaYjTs+sKAg4AADWE6dl1BwEHAIDzwPTsuo2AAwDAOTA9u/4h4AAAcAamZ5sDAQcA0GAxPdu8CDgAgHrFMAz3lGqjdNm9TSpdcrdxtzVOBhqHk+nZDQABBwAaEJfLkKPEJUeJU44Sl4pKXB4BoLLgoDOCgyGVv5/huaxy2p3us2z/ns/v2Y4gguog4ACAyRSdCjAnist+LXa6CApoEPxq40kWLFig1q1bKzg4WMnJydqyZUuFbfv16yeLxVLmMWTIEHebsWPHltk+aNCg2jgUAPA5l8vQsaIS/VpYpAP5x7XnUKG+sdn1+b4j2rL7sLJ//FU79tu1K69A+w4f18GjDtmPl3iM1gBm5/URnJdffllpaWlatGiRkpOTNX/+fKWmpionJ0fR0dFl2r/66qsqKipyL//yyy/q1q2bhg8f7tFu0KBBWrZsmXvZarV67yAAoBYZhqEip8s98uI4aySG6cnAuXk94Dz11FMaP368xo0bJ0latGiR3n77bS1dulTTp08v075p06Yey6tWrVJoaGiZgGO1WhUbG+u9wgHAi0qcLjlKXDpR7PT46ihxyVHs5Fb+wAXyasApKipSdna2ZsyY4V7n5+enlJQUbdq0qUp9LFmyRCNHjlSjRo081mdlZSk6OlqRkZG6+uqrNW/ePDVr1qzcPhwOhxwOh3vZbrefx9EAQNUZxqmLeYtdOnFqFObEGaMxxdzxFvAqrwacQ4cOyel0KiYmxmN9TEyMvvnmm3Puv2XLFu3YsUNLlizxWD9o0CD98Y9/VJs2bfT999/rz3/+swYPHqxNmzbJ39+/TD/p6emaPXv2hR0MAJyl2FnOCMypIMP1LoBv1elZVEuWLFGXLl3Us2dPj/UjR450f9+lSxd17dpV7dq1U1ZWlgYMGFCmnxkzZigtLc29bLfblZCQ4L3CAZhC6ZTq06ePPGck8SGKQN3l1YDTvHlz+fv7Kzc312N9bm7uOa+fKSws1KpVqzRnzpxzPk/btm3VvHlz7dq1q9yAY7VauQgZqAKny1Cx06Uip0vFJS4VOw2VuCq+q2tNjlBUpa/Td025sH5O9lU+p8twBxpuzw/UX14NOEFBQUpKStLatWs1dOhQSZLL5dLatWs1adKkSvddvXq1HA6Hbr755nM+z08//aRffvlFcXFxNVE2YDrFzpP3PykuOTk7p9h58s3bHWacJ4MNn4QMwCy8fooqLS1NY8aMUY8ePdSzZ0/Nnz9fhYWF7llVo0ePVosWLZSenu6x35IlSzR06NAyFw4XFBRo9uzZGjZsmGJjY/X999/rvvvuU/v27ZWamurtwwHqDMMwVOw0zhhtOR1WPMJLiYsZOQAaHK8HnBEjRujgwYOaOXOmbDabunfvroyMDPeFx3v37pWfn+f9BnNycvThhx/q/fffL9Ofv7+/vvjiC7300ks6cuSI4uPjNXDgQM2dO5fTUDAFl+vsUZbTp41Kg0vxqSDDRawAUD6LYTS8fyLtdrvCw8OVn5+vsLCwGuv3WFGJOs18T5L09ZxUhQbV6Wu4UctKSkdXygQVl4rOOHXEaSIA9V18RLBaNWt07obVVJ33b96BgQtQeprIHVTOHnUp4TQRAPgCAQf1nmEYchlnfC39xOJT35+5TYbkOvXJxC6jtN3pTyp2bzuVRkrbuM5oU+LyvFi34Y2BAkDdR8BBGcZZb+qng8Dp8OB+w3eVDRFnBozTwaDsurMDhkeYqOj53G08gwkAAGci4JjEsaIS2fJPnDoNUho4PEODdEZ4UDkBw0VgAACYAwHHJBzFLuXaHeduCABAA+B37iYAAAD1CwEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYTq0EnAULFqh169YKDg5WcnKytmzZUmHb5cuXy2KxeDyCg4M92hiGoZkzZyouLk4hISFKSUnRd9995+3DAAAA9YTXA87LL7+stLQ0zZo1S9u2bVO3bt2UmpqqvLy8CvcJCwvTgQMH3I8ff/zRY/tjjz2mZ555RosWLdLmzZvVqFEjpaam6sSJE94+HAAAUA94PeA89dRTGj9+vMaNG6dOnTpp0aJFCg0N1dKlSyvcx2KxKDY21v2IiYlxbzMMQ/Pnz9df//pXXXfdderatav+8Y9/6Oeff9Zrr73m7cMBAAD1gFcDTlFRkbKzs5WSknL6Cf38lJKSok2bNlW4X0FBgVq1aqWEhARdd911+uqrr9zbdu/eLZvN5tFneHi4kpOTK+zT4XDIbrd7PAAAgHl5NeAcOnRITqfTYwRGkmJiYmSz2crdp0OHDlq6dKlef/11/etf/5LL5VLv3r31008/SZJ7v+r0mZ6ervDwcPcjISHhQg8NAADUYXVuFlWvXr00evRode/eXX379tWrr76qqKgovfDCC+fd54wZM5Sfn+9+7Nu3rwYrBgAAdY1XA07z5s3l7++v3Nxcj/W5ubmKjY2tUh+BgYG67LLLtGvXLkly71edPq1Wq8LCwjweAADAvLwacIKCgpSUlKS1a9e617lcLq1du1a9evWqUh9Op1Nffvml4uLiJElt2rRRbGysR592u12bN2+ucp8AAMDcArz9BGlpaRozZox69Oihnj17av78+SosLNS4ceMkSaNHj1aLFi2Unp4uSZozZ45++9vfqn379jpy5Igef/xx/fjjj7rtttsknZxhNXnyZM2bN08XX3yx2rRpowceeEDx8fEaOnSotw8HAADUA14POCNGjNDBgwc1c+ZM2Ww2de/eXRkZGe6LhPfu3Ss/v9MDSb/++qvGjx8vm82myMhIJSUl6eOPP1anTp3cbe677z4VFhZqwoQJOnLkiK688kplZGSUuSEgAABomCyGYRi+LqK22e12hYeHKz8/v0avxzlWVKJOM9+TJH09J1WhQV7Pj26/FhbpG9vRWns+AAAqEh8RrFbNGtV4v9V5/65zs6gAAAAuFAEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYTq0EnAULFqh169YKDg5WcnKytmzZUmHbv//977rqqqsUGRmpyMhIpaSklGk/duxYWSwWj8egQYO8fRgAAKCe8HrAefnll5WWlqZZs2Zp27Zt6tatm1JTU5WXl1du+6ysLN10001av369Nm3apISEBA0cOFD79+/3aDdo0CAdOHDA/fj3v//t7UMBAAD1hNcDzlNPPaXx48dr3Lhx6tSpkxYtWqTQ0FAtXbq03PYrVqzQXXfdpe7duysxMVEvvviiXC6X1q5d69HOarUqNjbW/YiMjPT2oQAAgHrCqwGnqKhI2dnZSklJOf2Efn5KSUnRpk2bqtTHsWPHVFxcrKZNm3qsz8rKUnR0tDp06KA777xTv/zyS4V9OBwO2e12jwcAADAvrwacQ4cOyel0KiYmxmN9TEyMbDZblfq4//77FR8f7xGSBg0apH/84x9au3atHn30UW3YsEGDBw+W0+kst4/09HSFh4e7HwkJCed/UAAAoM4L8HUBlXnkkUe0atUqZWVlKTg42L1+5MiR7u+7dOmirl27ql27dsrKytKAAQPK9DNjxgylpaW5l+12OyEHAAAT82rAad68ufz9/ZWbm+uxPjc3V7GxsZXu+8QTT+iRRx7RBx98oK5du1batm3btmrevLl27dpVbsCxWq2yWq3VPwDgDAfyjysr56AOFjgU1diqfh2iFBce4uuyAADl8OopqqCgICUlJXlcIFx6wXCvXr0q3O+xxx7T3LlzlZGRoR49epzzeX766Sf98ssviouLq5G6gbNl5eRp6urP9dYXP+uTH37RW1/8rKmrP9eGb8ufDQgA8C2vz6JKS0vT3//+d7300kvauXOn7rzzThUWFmrcuHGSpNGjR2vGjBnu9o8++qgeeOABLV26VK1bt5bNZpPNZlNBQYEkqaCgQH/605/0ySefaM+ePVq7dq2uu+46tW/fXqmpqd4+HDRAB/KPa/H/fpBhSC5DHl9f2PiDbPknfF0iAOAsXr8GZ8SIETp48KBmzpwpm82m7t27KyMjw33h8d69e+XndzpnLVy4UEVFRbrhhhs8+pk1a5YefPBB+fv764svvtBLL72kI0eOKD4+XgMHDtTcuXM5DQWvyMo5KIsko5xtFknrc/J0U8+WtVwVAKAytXKR8aRJkzRp0qRyt2VlZXks79mzp9K+QkJC9N5779VQZcC5HSxwlBtupJOh52CBozbLAQBUAZ9FBZxDVGOrLBVss5zaDgCoWwg4wDn06xBV6QhO/w7RtVkOAKAKCDjAOcSFh+j2Pm1lOWMYx88iWSzS7X3aKjY8uOKdAQA+Uadv9AfUFX0viVbrZo00/dUvJUmDOsfqdx1jCTcAUEcRcIAqigk7HWaGJyUoONDfh9UAACrDKSoAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA63AcH5+1A/nFl5RzUwQKHohpb1a9DlOLCQ3xdFgAABBycn6ycPC3+3w+y6OTnMVkkvfnFz7q9T1v1vYTPZgIA+BanqFBtB/KPa/H/fpBhSC5DHl9f2PiDbPknfF0iAKCBI+Cg2rJyDspSwTaLpPU5ebVZDgAAZRBwUG0HCxwyKthmnNoOAIAvEXBQbVGNrZWO4EQ1ttZmOQAAlEHAQbX16xBV6QhO/w5cZAwA8C0CDqotLjxEt/dpK8sZwzh+FslikW7v01ax4cG+Kw4AADFNHOep7yXRat2skaa/+qUkaVDnWP2uYyzhBgBQJxBwcN5iwk6HmeFJCQoO9PdhNQAAnMYpKgAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDrc6A9AuQ7kH1dWzkEdLHAoqrFV/TpEKS48xNdlAUCVEHAAlJGVk6fF//tBFp38AFWLpDe/+Fm392mrvpfwYaoA6j5OUQHwcCD/uBb/7wcZhuQy5PH1hY0/yJZ/wtclAsA5EXAAeMjKOShLBdssktbn5NVmOQBwXgg4ADwcLHDIqGCbcWo7ANR1BBwAHqIaWysdwYlqbK3NcgDgvNRKwFmwYIFat26t4OBgJScna8uWLZW2X716tRITExUcHKwuXbronXfe8dhuGIZmzpypuLg4hYSEKCUlRd999503DwFoMPp1iKp0BKd/By4yBlD3eX0W1csvv6y0tDQtWrRIycnJmj9/vlJTU5WTk6Po6LL/UH788ce66aablJ6ert///vdauXKlhg4dqm3btqlz586SpMcee0zPPPOMXnrpJbVp00YPPPCAUlNT9fXXXys4OLjKtR0rKlFAUUmNHeuxM/o6VoP9VsXxIqdOFDtr9TkdZzyfo5af2xcayvFGhgbplt5ttPSj3e6g42c5GW5u6d1GEaGBtf67BqB+OV7k9Mr7YHX6tBiGUdF/1mpEcnKyLr/8cj333HOSJJfLpYSEBN19992aPn16mfYjRoxQYWGh3nrrLfe63/72t+revbsWLVokwzAUHx+vqVOnatq0aZKk/Px8xcTEaPny5Ro5cmSZPh0OhxyO09cN2O12JSQkKGHyf+RnDa3pQwYAAF7gchzTvvk3Kj8/X2FhYZW29eopqqKiImVnZyslJeX0E/r5KSUlRZs2bSp3n02bNnm0l6TU1FR3+927d8tms3m0CQ8PV3JycoV9pqenKzw83P1ISEi40EMDAAB1mFdPUR06dEhOp1MxMTEe62NiYvTNN9+Uu4/NZiu3vc1mc28vXVdRm7PNmDFDaWlp7uXSEZwtfxlwzgRYXxwpLFZO7lFflwHUW45ip+5YsU2StGjUb2QN9PdxRd7F8XK83hQXHqyWzWr+DIndblfc/Kq1bRB3MrZarbJay878CA0KUGiQOV4CR7FLwSb/gwVqizXQv0H9PXG85uaL4w0J8vfK+2tJNfr06imq5s2by9/fX7m5uR7rc3NzFRsbW+4+sbGxlbYv/VqdPgEAQMPi1YATFBSkpKQkrV271r3O5XJp7dq16tWrV7n79OrVy6O9JGVmZrrbt2nTRrGxsR5t7Ha7Nm/eXGGfAACgYfH6+Zm0tDSNGTNGPXr0UM+ePTV//nwVFhZq3LhxkqTRo0erRYsWSk9PlyTde++96tu3r5588kkNGTJEq1at0qeffqrFixdLkiwWiyZPnqx58+bp4osvdk8Tj4+P19ChQ719OAAAoB7wesAZMWKEDh48qJkzZ8pms6l79+7KyMhwXyS8d+9e+fmdHkjq3bu3Vq5cqb/+9a/685//rIsvvlivvfaa+x44knTfffepsLBQEyZM0JEjR3TllVcqIyOjWvfAAQAA5lUrV9hOmjRJkyZNKndbVlZWmXXDhw/X8OHDK+zPYrFozpw5mjNnTk2VCAAATITPogIAAKZDwAEAAKZDwAEAAKZDwAGABshmP+H+fnX2Ph3IP+7DaoCaR8ABgAYmKydPf17zpXs5Y4dNU1d/rg3f5vmwKqBmEXAAoAE5kH9ci//3gwzj9DqXIRmG9MLGH2TLP1HxzkA9QsABgAYkK+egLBVss0han8MoDsyBgAMADcjBAoeMCrYZp7YDZkDAAYAGJKqxtdIRnKjG1tosB/AaAg4ANCD9OkRVOoLTv0N0bZYDeA0BBwAakLjwEN3ep60sFsnPIo+vt/dpq9hwPtPPDLgNQC19FhUAoO7oe0m0OsSEaX1Ong4WOBTV2Kr+HaIJNyaRlZOnxf/7wb2cscOmd3fYdHuftup7ScMZoSPgAEADFBserJt6tvR1GahhFd0GQDp5G4AOMWENJshyigoAAJPgNgCnEXAAADAJbgNwGgEHAACT4DYApxFwAAAwCW4DcBoBBwAAk+A2AKcxiwoAABPhNgAnEXAAADAZbgPAKSoAAGBCBBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6Xg04hw8f1qhRoxQWFqaIiAjdeuutKigoqLT93XffrQ4dOigkJEQtW7bUPffco/z8fI92FoulzGPVqlXePBQAAFCPBHiz81GjRunAgQPKzMxUcXGxxo0bpwkTJmjlypXltv/555/1888/64knnlCnTp30448/6o477tDPP/+s//73vx5tly1bpkGDBrmXIyIivHkoAACgHvFawNm5c6cyMjK0detW9ejRQ5L07LPP6pprrtETTzyh+Pj4Mvt07txZr7zyinu5Xbt2euihh3TzzTerpKREAQGny42IiFBsbKy3ygfQwNjsJ9zfr87ep5SOMYoLD/FhRQAuhNdOUW3atEkRERHucCNJKSkp8vPz0+bNm6vcT35+vsLCwjzCjSRNnDhRzZs3V8+ePbV06VIZhlFhHw6HQ3a73eMBAKWycvL05zVfupczdtg0dfXn2vBtng+rAnAhvDaCY7PZFB0d7flkAQFq2rSpbDZblfo4dOiQ5s6dqwkTJnisnzNnjq6++mqFhobq/fff11133aWCggLdc8895faTnp6u2bNnn9+BADC1A/nHtfh/P+jM/yO5Tn3/wsYf1CEmTLHhwb4pDsB5q/YIzvTp08u9yPfMxzfffHPBhdntdg0ZMkSdOnXSgw8+6LHtgQce0BVXXKHLLrtM999/v+677z49/vjjFfY1Y8YM5efnux/79u274PoAmENWzkFZKthmkbQ+h1EcoD6q9gjO1KlTNXbs2ErbtG3bVrGxscrL8/yHoaSkRIcPHz7ntTNHjx7VoEGD1KRJE61Zs0aBgYGVtk9OTtbcuXPlcDhktVrLbLdareWuB4CDBQ5VdILbOLUdQP1T7YATFRWlqKioc7br1auXjhw5ouzsbCUlJUmS1q1bJ5fLpeTk5Ar3s9vtSk1NldVq1RtvvKHg4HMPDW/fvl2RkZGEGADVFtXYKotUbsixnNoOoP7x2kXGHTt21KBBgzR+/Hht2bJFH330kSZNmqSRI0e6Z1Dt379fiYmJ2rJli6ST4WbgwIEqLCzUkiVLZLfbZbPZZLPZ5HQ6JUlvvvmmXnzxRe3YsUO7du3SwoUL9fDDD+vuu+/21qEAMLF+HaIqHcHp3yG6gq0A6jKv3gdnxYoVmjRpkgYMGCA/Pz8NGzZMzzzzjHt7cXGxcnJydOzYMUnStm3b3DOs2rdv79HX7t271bp1awUGBmrBggWaMmWKDMNQ+/bt9dRTT2n8+PHePBQAJhUXHqLb+7TVCxt/cI/klH69vU9bLjAG6imLUdn8apOy2+0KDw93T0E3g18Li/SN7aivywDqLVv+Ca3PydPBAoeiGlvVv0M04cZEThQ7NW75VknSsrGXKzjQ38cVmVt8RLBaNWtU4/1W5/3bqyM4AFBfxIYH66aeLX1dBoAawodtAgAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAABMz2Y/4f5+dfY+Hcg/7sNqUBsIOAAAU8vKydOf13zpXs7YYdPU1Z9rw7d5PqwK3kbAAQCY1oH841r8vx9kGKfXuQzJMKQXNv4gW/6JindGvUbAAQCYVlbOQVkq2GaRtD6HURyzIuAAAEzrYIFDRgXbjFPbYU4EHACAaUU1tlY6ghPV2Fqb5aAWEXAAAKbVr0NUpSM4/TtE12Y5qEUEHACAacWFh+j2Pm1lsUh+Fnl8vb1PW8WGB/u6RHhJgK8LAADAm/peEq0OMWFan5OngwUORTW2qn+HaMKNyRFwAACmFxserJt6tvR1GahFnKICAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACm49WAc/jwYY0aNUphYWGKiIjQrbfeqoKCgkr36devnywWi8fjjjvu8Gizd+9eDRkyRKGhoYqOjtaf/vQnlZSUePNQAABAPeLVaeKjRo3SgQMHlJmZqeLiYo0bN04TJkzQypUrK91v/PjxmjNnjns5NDTU/b3T6dSQIUMUGxurjz/+WAcOHNDo0aMVGBiohx9+2GvHAgAA6g+vBZydO3cqIyNDW7duVY8ePSRJzz77rK655ho98cQTio+Pr3Df0NBQxcbGlrvt/fff19dff60PPvhAMTEx6t69u+bOnav7779fDz74oIKCgrxyPAAAoP7w2imqTZs2KSIiwh1uJCklJUV+fn7avHlzpfuuWLFCzZs3V+fOnTVjxgwdO3bMo98uXbooJibGvS41NVV2u11fffVVuf05HA7Z7XaPBwAAMC+vjeDYbDZFR3t+iFlAQICaNm0qm81W4X7/93//p1atWik+Pl5ffPGF7r//fuXk5OjVV19193tmuJHkXq6o3/T0dM2ePftCDgcAANQj1Q4406dP16OPPlppm507d553QRMmTHB/36VLF8XFxWnAgAH6/vvv1a5du/Pqc8aMGUpLS3Mv2+12JSQknHeNAACgbqt2wJk6darGjh1baZu2bdsqNjZWeXl5HutLSkp0+PDhCq+vKU9ycrIkadeuXWrXrp1iY2O1ZcsWjza5ubmSVGG/VqtVVqu1ys8JAADqt2oHnKioKEVFRZ2zXa9evXTkyBFlZ2crKSlJkrRu3Tq5XC53aKmK7du3S5Li4uLc/T700EPKy8tznwLLzMxUWFiYOnXqVM2jAQAAZuS1i4w7duyoQYMGafz48dqyZYs++ugjTZo0SSNHjnTPoNq/f78SExPdIzLff/+95s6dq+zsbO3Zs0dvvPGGRo8erT59+qhr166SpIEDB6pTp076f//v/+nzzz/Xe++9p7/+9a+aOHEiozQAAECSl2/0t2LFCiUmJmrAgAG65pprdOWVV2rx4sXu7cXFxcrJyXHPkgoKCtIHH3yggQMHKjExUVOnTtWwYcP05ptvuvfx9/fXW2+9JX9/f/Xq1Us333yzRo8e7XHfHAAA0LBZDMMwfF1EbbPb7QoPD1d+fr7CwsJ8XU6N+LWwSN/Yjvq6DAAAFB8RrFbNGtV4v9V5/+azqAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkE+LoA1IzgQH/FRwTLZUiGYchlSJJxallyGYb7q3TGOp3eZpQuu05+PdUUAIB6h4BjEiFB/mrVrFGN9mmcEYrODEKSZ2AyJBkuyXAHqlNfVRqcPLcZxjkC1pl9V/R87uUzAx0AACcRcFAhi8Uii0Xyk8XXpVSJO1iVCU5lw5fKC1gqJ3ydSk5nBiyny1CR06Vip6GiEpecpCsAqHMIODANi8Uif4ukWg5kTpehYqfrZOgpKf1aGoJcKio5+bXYSRACgNpCwAEukL+fRf5+/goO9K+0nWF4jvycHX6KSsOR08X1TwBwgQg4QC2xWCyyBvjLGiDJWnnb4jNGf0pDUeno0JmhiNNjAFA+Ag5QBwX6+ynQ30+hQZW3c7o8R36K3afHnCoqMU6v4/QYgAbGq/fBOXz4sEaNGqWwsDBFRETo1ltvVUFBQYXt9+zZc+rC1rKP1atXu9uVt33VqlXePBSgTvL3sygkyF/hIYFq3tiquPAQtWwWqvbRTdQpPkzdEiLUo3VTJbdpqstaRqhzizB1iG2itlGNdFFkiKLDrIpsFKjG1gAFBfjJUj+uJweAc/LqCM6oUaN04MABZWZmqri4WOPGjdOECRO0cuXKctsnJCTowIEDHusWL16sxx9/XIMHD/ZYv2zZMg0aNMi9HBERUeP1A2bh52dRcBWvEyp2nh75KXKee5ZYVa4Xqur4kVHFi49q8hqls/tyGoZOFDvlKHHJUezkFgRAPeW1gLNz505lZGRo69at6tGjhyTp2Wef1TXXXKMnnnhC8fHxZfbx9/dXbGysx7o1a9boxhtvVOPGjT3WR0RElGkL4MJYLBYFBVgUFMBNzks5Sk6GnRPFTjmKXXKUOHXi1NeiEtIPUFd5LeBs2rRJERER7nAjSSkpKfLz89PmzZt1/fXXn7OP7Oxsbd++XQsWLCizbeLEibrtttvUtm1b3XHHHRo3bpwsFYyvOxwOORwO97Ldbj+PIwLQEJ28MNxfYcGBZba5XMbp8FPOVy4CB3zHawHHZrMpOjra88kCAtS0aVPZbLYq9bFkyRJ17NhRvXv39lg/Z84cXX311QoNDdX777+vu+66SwUFBbrnnnvK7Sc9PV2zZ88+vwMBgAr4nboGKiSo/FN/RSUuzxGgM74WlXA7AMCbqh1wpk+frkcffbTSNjt37jzvgkodP35cK1eu1AMPPFBm25nrLrvsMhUWFurxxx+vMODMmDFDaWlp7mW73a6EhIQLrhEAKhMU4KegAD81KWebYXiO/jiKXTpR4nR/LWHmG3BBqh1wpk6dqrFjx1bapm3btoqNjVVeXp7H+pKSEh0+fLhK187897//1bFjxzR69Ohztk1OTtbcuXPlcDhktZa9wYjVai13PQD4isViUXBgxRd+lzhdOnHqQufSr2cGIkZ/gMpVO+BERUUpKirqnO169eqlI0eOKDs7W0lJSZKkdevWyeVyKTk5+Zz7L1myRH/4wx+q9Fzbt29XZGQkIQaAaQT4+6mxv58aW8v+M106+uMoJ/hw8TNwkteuwenYsaMGDRqk8ePHa9GiRSouLtakSZM0cuRI9wyq/fv3a8CAAfrHP/6hnj17uvfdtWuXNm7cqHfeeadMv2+++aZyc3P129/+VsHBwcrMzNTDDz+sadOmeetQAKBO8Rj9CSl78bPTZXjM9vL4ytR3NBBevQ/OihUrNGnSJA0YMEB+fn4aNmyYnnnmGff24uJi5eTk6NixYx77LV26VBdddJEGDhxYps/AwEAtWLBAU6ZMkWEYat++vZ566imNHz/em4cCAPWGv59FoUEBFd4Ju/TCZ0fxyXsdld5/6MzTXoYhGTLc6wydvk+R4W5rnNG2gv1OLZ/Z/+k+y/Z/Zj9n9396/7PbAWVZjKreWctE7Ha7wsPDlZ+fr7CwMF+XAwC4AIZReRA7M2C5DEMFjhIVOpwqdJSo0FHCiJYXxEcEq1WzRjXeb3Xev/ksKgBAvXbyI3s81lTaPjQoQKVT2wzD0LGik2Hn6KnAc6zIyciQCRBwAAANlsViUSNrgBpZA1R65zaXy1Bh0clRngJHsQocTp0oJvTUNwQcAADO4OdnUZPgQDUJDpQULOnkhdsFp0Z4Skd7HMUu3xaKShFwAAA4B38/i8JDAhV+xqy1YqdLhY4S9zU9BY4SFZUQeuoKAg4AAOch0N9PEaFBijhjupqjxOm+gLl0xKeYu1L7BAEHAIAaUvrhrE0bnQ49J4qd7rBTOtrDB7F6HwEHAAAvKr0pY/PGJ++2bxiGThS7dNRRzHR1LyLgAABQiyyWMz6FnunqXkPAAQDAx5iuXvMIOAAA1EFMV78wBBwAAOoJpqtXHQEHAIB6jOnq5SPgAABgMkxXJ+AAANAgNLTp6gQcAAAaILNPVyfgAAAASeaark7AAQAAFaqv09UJOAAAoFrONV3dGuDvw+pOIuAAAIALVt50dV/y83UBAAAANY2AAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATMdrAeehhx5S7969FRoaqoiIiCrtYxiGZs6cqbi4OIWEhCglJUXfffedR5vDhw9r1KhRCgsLU0REhG699VYVFBR44QgAAEB95bWAU1RUpOHDh+vOO++s8j6PPfaYnnnmGS1atEibN29Wo0aNlJqaqhMnTrjbjBo1Sl999ZUyMzP11ltvaePGjZowYYI3DgEAANRTFsMwDG8+wfLlyzV58mQdOXKk0naGYSg+Pl5Tp07VtGnTJEn5+fmKiYnR8uXLNXLkSO3cuVOdOnXS1q1b1aNHD0lSRkaGrrnmGv3000+Kj4+vUk12u13h4eHKz89XWFjYBR0fAACoHdV5/w6opZrOaffu3bLZbEpJSXGvCw8PV3JysjZt2qSRI0dq06ZNioiIcIcbSUpJSZGfn582b96s66+/vty+HQ6HHA6Hezk/P1/SyRcKAADUD6Xv21UZm6kzAcdms0mSYmJiPNbHxMS4t9lsNkVHR3tsDwgIUNOmTd1typOenq7Zs2eXWZ+QkHChZQMAgFp29OhRhYeHV9qmWgFn+vTpevTRRytts3PnTiUmJlanW6+bMWOG0tLS3Msul0uHDx9Ws2bNZLFYavS57Ha7EhIStG/fvgZx+ovjNTeO19w4XnMz4/EahqGjR49W6ZKUagWcqVOnauzYsZW2adu2bXW6dIuNjZUk5ebmKi4uzr0+NzdX3bt3d7fJy8vz2K+kpESHDx92718eq9Uqq9Xqsa6qM7vOV1hYmGl+oaqC4zU3jtfcOF5zM9vxnmvkplS1Ak5UVJSioqLOq6BzadOmjWJjY7V27Vp3oLHb7dq8ebN7JlavXr105MgRZWdnKykpSZK0bt06uVwuJScne6UuAABQ/3htmvjevXu1fft27d27V06nU9u3b9f27ds97lmTmJioNWvWSJIsFosmT56sefPm6Y033tCXX36p0aNHKz4+XkOHDpUkdezYUYMGDdL48eO1ZcsWffTRR5o0aZJGjhxZ5RlUAADA/Lx2kfHMmTP10ksvuZcvu+wySdL69evVr18/SVJOTo57RpMk3XfffSosLNSECRN05MgRXXnllcrIyFBwcLC7zYoVKzRp0iQNGDBAfn5+GjZsmJ555hlvHUa1Wa1WzZo1q8wpMbPieM2N4zU3jtfcGtrxns3r98EBAACobXwWFQAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CTg1asGCBWrdureDgYCUnJ2vLli2+LslrNm7cqGuvvVbx8fGyWCx67bXXfF2SV6Wnp+vyyy9XkyZNFB0draFDhyonJ8fXZXnNwoUL1bVrV/cdUHv16qV3333X12XVikceecR9Xy6zevDBB2WxWDwede0jdmra/v37dfPNN6tZs2YKCQlRly5d9Omnn/q6LK9o3bp1mZ+vxWLRxIkTfV1arSLg1JCXX35ZaWlpmjVrlrZt26Zu3bopNTW1zEdLmEVhYaG6deumBQsW+LqUWrFhwwZNnDhRn3zyiTIzM1VcXKyBAweqsLDQ16V5xUUXXaRHHnlE2dnZ+vTTT3X11Vfruuuu01dffeXr0rxq69ateuGFF9S1a1dfl+J1l156qQ4cOOB+fPjhh74uyWt+/fVXXXHFFQoMDNS7776rr7/+Wk8++aQiIyN9XZpXbN261eNnm5mZKUkaPny4jyurZQZqRM+ePY2JEye6l51OpxEfH2+kp6f7sKraIclYs2aNr8uoVXl5eYYkY8OGDb4updZERkYaL774oq/L8JqjR48aF198sZGZmWn07dvXuPfee31dktfMmjXL6Natm6/LqDX333+/ceWVV/q6DJ+59957jXbt2hkul8vXpdQqRnBqQFFRkbKzs5WSkuJe5+fnp5SUFG3atMmHlcFbSu/A3bRpUx9X4n1Op1OrVq1SYWGhevXq5etyvGbixIkaMmSIx9+xmX333XeKj49X27ZtNWrUKO3du9fXJXnNG2+8oR49emj48OGKjo7WZZddpr///e++LqtWFBUV6V//+pduueUWWSwWX5dTqwg4NeDQoUNyOp2KiYnxWB8TEyObzeajquAtLpdLkydP1hVXXKHOnTv7uhyv+fLLL9W4cWNZrVbdcccdWrNmjTp16uTrsrxi1apV2rZtm9LT031dSq1ITk7W8uXLlZGRoYULF2r37t266qqrdPToUV+X5hU//PCDFi5cqIsvvljvvfee7rzzTt1zzz0eHydkVq+99pqOHDmisWPH+rqUWue1z6ICzGrixInasWOHqa9ZkKQOHTpo+/btys/P13//+1+NGTNGGzZsMF3I2bdvn+69915lZmZ6fO6dmQ0ePNj9fdeuXZWcnKxWrVrpP//5j2699VYfVuYdLpdLPXr00MMPPyzp5Gcj7tixQ4sWLdKYMWN8XJ13LVmyRIMHD26QH0jNCE4NaN68ufz9/ZWbm+uxPjc3V7GxsT6qCt4wadIkvfXWW1q/fr0uuugiX5fjVUFBQWrfvr2SkpKUnp6ubt266emnn/Z1WTUuOztbeXl5+s1vfqOAgAAFBARow4YNeuaZZxQQECCn0+nrEr0uIiJCl1xyiXbt2uXrUrwiLi6uTDDv2LGjqU/LSdKPP/6oDz74QLfddpuvS/EJAk4NCAoKUlJSktauXete53K5tHbtWlNfs9CQGIahSZMmac2aNVq3bp3atGnj65JqncvlksPh8HUZNW7AgAH68ssvtX37dvejR48eGjVqlLZv3y5/f39fl+h1BQUF+v777xUXF+frUrziiiuuKHNbh2+//VatWrXyUUW1Y9myZYqOjtaQIUN8XYpPcIqqhqSlpWnMmDHq0aOHevbsqfnz56uwsFDjxo3zdWleUVBQ4PG/vd27d2v79u1q2rSpWrZs6cPKvGPixIlauXKlXn/9dTVp0sR9bVV4eLhCQkJ8XF3NmzFjhgYPHqyWLVvq6NGjWrlypbKysvTee+/5urQa16RJkzLXUjVq1EjNmjUz7TVW06ZN07XXXqtWrVrp559/1qxZs+Tv76+bbrrJ16V5xZQpU9S7d289/PDDuvHGG7VlyxYtXrxYixcv9nVpXuNyubRs2TKNGTNGAQEN9K3e19O4zOTZZ581WrZsaQQFBRk9e/Y0PvnkE1+X5DXr1683JJV5jBkzxteleUV5xyrJWLZsma9L84pbbrnFaNWqlREUFGRERUUZAwYMMN5//31fl1VrzD5NfMSIEUZcXJwRFBRktGjRwhgxYoSxa9cuX5flVW+++abRuXNnw2q1GomJicbixYt9XZJXvffee4YkIycnx9el+IzFMAzDN9EKAADAO7gGBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmM7/B6YHtKNVup1vAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"18\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"19\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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zXdXl9w1Uvl9r1qzBsmXL0KVLF4SGhlY7QgNUHnlbvnw5kpOTMXjwYDzwwAPyNPHo6GjMnTv3hvt6rXvuuQdLly7Fvn375FNO9f1sBQUFYceOHRg5ciT69OnjcCXjQ4cO4T//+c8NhZTCwkJ89913mDVr1o3vICmXeyZvEbneXXfdJby8vITRaKyxzpQpU4Snp6e4cOGCEEKI8+fPizFjxggfHx8RFBQkZsyYIY4cOVJt2rDNZhOzZ88WISEhQqVSOUyFLi0tFXPnzhWRkZHC09NT3HTTTeKFF15wmA5cZePGjaJv375Cp9OJoKAgMXjwYHnKbZVXX31VxMTECE9PTxEWFiZmzpwpLl265FBn8ODB4pZbbqnWftWU5xdeeMHp/h8/flxMmjRJhIeHC09PT9G2bVvxl7/8Rbz99ttyHWfTxH/88UeRkJAg/Pz8RHBwsJg2bZr49ttv6/U+4Zop10IIcejQIZGYmCj8/PyEj4+PGDp0qPjyyy8d6lRNEz948KBDeU3T/K9VNbX7/PnzNdYxmUxi6tSpIiAgQLRq1Urcf//9orCwsMZp4te2VdXHEydOOJRf7/et1+vFqFGjRKtWrQQAecp4Tfu2bds2ub3WrVuLCRMmiN9//92hzuTJk4Wvr2+N70Nd9OrVS0ydOlVevpHPlhCV0/7nzp0rbr75ZuHl5SV8fHxEbGyseOaZZ0RJSYlcr6a/52utWbNG+Pj4CIPBUKf9oJZFJUQTGQVHRERN0r/+9S/MmjULp06dcriAoLv17dsXQ4YMcbiAJlEVjsEhIqJaTZgwAe3bt3c6oNhdMjMz8csvvyAtLc3dXaEmikdwiIiISHF4BIeIiIgUx6UBZ//+/bjrrrsQGRkJlUpVpxuiZWdn409/+hN0Oh26dOni9I6+q1evRnR0NLy8vBAfH4/c3NyG7zwRERE1Wy4NOEajEb17967zedsTJ05g1KhRGDp0KA4fPow5c+bgoYcewqeffirX2bZtG1JTU7Fo0SIcOnQIvXv3RmJiotOpvERERNQyNdoYHJVKhR07dmD06NE11nniiSfw0Ucf4ciRI3LZ+PHjUVxcjMzMTACV9zm59dZb5QupSZKEqKgozJ49GwsWLHDpPhAREVHz0KQu9JeTk1PtsvGJiYmYM2cOgMpL1Ofl5TmMmler1UhISEBOTk6N7ZrNZoercEqShKKiIrRp04Y3aCMiImomhBAoLS1FZGQk1OraT0I1qYCj1+sRFhbmUBYWFgaDwYDy8nJcunQJdrvdaZ2qe/04k56ejsWLF7ukz0RERNS4Tp8+jXbt2tVap0kFHFdJS0tDamqqvFxSUoL27dvj9OnTDXJ/m39m/YzNX56EXap+tk+jVmHKgGjM/fPNf/h1iIiIWjKDwYCoqCiHmxnXpEkFnPDwcBQUFDiUFRQUwN/fH97e3tBoNNBoNE7rhIeH19iuTqeDTqerVu7v798gAWfS4G548+sCqJ2MZlKpgMmDu8Hf3/cPvw4RERGhTsNLmtR1cPr374/du3c7lGVlZck3YdNqtYiNjXWoI0kSdu/e7da7yXYM9sXyMb2gvur91qhUUKuA5WN6ITqY4YaIiKgxufQITllZGY4dOyYvnzhxAocPH0br1q3Rvn17pKWl4cyZM3jrrbcAAA8//DBeffVVPP7443jwwQexZ88e/Pe//8VHH30kt5GamorJkycjLi4O/fr1w8qVK2E0GpGcnOzKXbmusXFR6NHWHyNe/hwAkDwwGhPjOzDcEBERuYFLA87XX3+NoUOHystV42AmT56MzZs349y5czh16pS8vmPHjvjoo48wd+5cvPzyy2jXrh3eeOMNJCYmynXGjRuH8+fPY+HChdDr9ejTpw8yMzOrDTx2hw5troSZ1D/fDB9tkzoDSERE1GAkScAqSbBLAla7gF0SsNkl2CQBH60GgT5at/avRd6LymAwICAgACUlJQ0yBqeKyWJD94WVFyX8cUkiAw4RETV5lQFFuhxQBGxSZUixXRVY5HL7lXIn82pkkYFeDv/pbyj1+f7mNzAREZECyGGktmBy1XP75ee1BZXmjAGHiIioiRBC1CmYVJ0Sko+8SAIt73xM7RhwiIiIGlht41McTgNd9bzqFBE1DAYcIiKiGrhifAo1DgYcIiJqEYQQMFnssHJ8SovAgENERIpllwSKTRZcMllRbLLAylNALQYDDhERKYrZZkexyYoiowWGciuPwrRQDDhERNTsGc02FBktKDZZUWa2ubs71AQw4BARUbMjhEBJuRWXTFZcMllgtkru7hI1MQw4RETULNjskjyWprjcyinVVCsGHCIiarIqrHZcMllQZLSgtMLGi9lRnTHgEBFRkyGEQJnZhkvGylNPJovd3V2iZooBh4iI3MouVY2nsaDYZIHFxsM09Mcx4BARUaOz2CQUmywoMllQYuJUbmp4DDhERNQoTJYrU7lLKziVm1yLAYeIiFxCCAFDuQ2XTBZcMllQwanc1IgYcIiIqMHY7BKKy624ZORUbnIvBhwiIvpDqqZyXzJaYaiwcio3NQkMOEREVG+VU7krTz0ZzZzKTU0PAw4REV2XdNVU7ksmKyw2jqehpo0Bh4iInLLaJfnUU0m5FXbO5aZmhAGHiIhk5RY7ikwWXDJaUGbmrRGo+WLAISJqwYQQMFTYUHz51FM5b41ACsGAQ0TURAghIAlAEgKSEBACEFctS+L6da48x+XlqjLndax2iVO5SZEYcIioxan60gcAUbV8eV1dgwVqCQ11CRbO6vB0EFHDYcAhomqsdglmmwSz1Q7b5YGlld/pToLBVV/KVXWuPK+sc6V+1bOr11e1d1Xb17zWH277qgDDEEHUMjDgELVAtqoAY5NgttlhtlY+r7DaYbZJnC1DRM0eAw6RAkmScAgsZtvln9bK51aOuSAihWPAIWqGhBAOgaXCelWIsdlhsTHAEFHLxoBD1ATJAeaaU0hVYcZqlziWhIioFgw4RG5isTk5+nLVcwYYIqIbx4BD5CJXz0RyHA9TWcZxvERErsOAQ3SD7JJwHMTLmUhERE0GAw7RdZhtdpjMdpisdpjMNvmUEmciERE1XQw4RJfZJQGTxQaTxQ6TxQ6j2YZyq52XsSciaobUjfEiq1evRnR0NLy8vBAfH4/c3Nwa6w4ZMgQqlaraY9SoUXKdKVOmVFuflJTUGLtCCiBE5amli2VmnC4yIV9fim9OXULuiSIcOWPAr+eN0JdUoLTCxnBDRNRMufwIzrZt25Camoq1a9ciPj4eK1euRGJiIvLz8xEaGlqt/rvvvguLxSIvX7x4Eb1798bYsWMd6iUlJWHTpk3ysk6nc91OULNltUuXj8hcPjJjtqPcauf4GCIihXN5wHnppZcwbdo0JCcnAwDWrl2Ljz76CBs3bsSCBQuq1W/durXD8tatW+Hj41Mt4Oh0OoSHh7uu49SsCCFQbrXDaLaj3GKH8XKgsdgkd3eNiIjcwKUBx2KxIC8vD2lpaXKZWq1GQkICcnJy6tTGhg0bMH78ePj6+jqUZ2dnIzQ0FEFBQbjzzjuxbNkytGnTxmkbZrMZZrNZXjYYDDewN9RUmG1VIcaOcoutMtRY7bxuDBERyVwacC5cuAC73Y6wsDCH8rCwMPz000/X3T43NxdHjhzBhg0bHMqTkpLw17/+FR07dsTx48fx5JNPYsSIEcjJyYFGo6nWTnp6OhYvXvzHdoYanV2qPCpjMlcejTFabCi3cPYSERFdX5OeRbVhwwb07NkT/fr1cygfP368/Lxnz57o1asXOnfujOzsbAwbNqxaO2lpaUhNTZWXDQYDoqKiXNdxqrcKq+PMJaPZxqv5EhHRDXNpwAkODoZGo0FBQYFDeUFBwXXHzxiNRmzduhVLliy57ut06tQJwcHBOHbsmNOAo9PpOAi5ibDZpcvXk7E7TMnmoF8iImpILg04Wq0WsbGx2L17N0aPHg0AkCQJu3fvRkpKSq3bbt++HWazGRMnTrzu6/z++++4ePEiIiIiGqLb1ACqBv1WzVwyWSvHynDQLxERNQaXn6JKTU3F5MmTERcXh379+mHlypUwGo3yrKpJkyahbdu2SE9Pd9huw4YNGD16dLWBw2VlZVi8eDHGjBmD8PBwHD9+HI8//ji6dOmCxMREV+8OOWGxSQ4zl0yXx8rwoAwREbmLywPOuHHjcP78eSxcuBB6vR59+vRBZmamPPD41KlTUKsdrzeYn5+Pzz//HLt27arWnkajwXfffYc333wTxcXFiIyMxPDhw7F06VKehnIxSRKVp5cstsunmOwot9pgsTHJEBFR06ISouUN4zQYDAgICEBJSQn8/f0brF2TxYbuCz8FAPy4JBE+2iY9hrtWFdYr15OpmpJdwanYRERUB5GBXujQxvf6FeupPt/fzfcbmBqEXRJXQszl6di8/xIRETV3DDgtROX9lyTHm0labDBbOeiXiIiUhwFHgax2yWHmUvnlgb8c9EtERC0FA45CGM02nCoywWThoF8iIiIGHIWw2CQUm6zu7gYREVGToL5+FSIiIqLmhQGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSnUQLO6tWrER0dDS8vL8THxyM3N7fGups3b4ZKpXJ4eHl5OdQRQmDhwoWIiIiAt7c3EhIS8Msvv7h6N4iIiKiZcHnA2bZtG1JTU7Fo0SIcOnQIvXv3RmJiIgoLC2vcxt/fH+fOnZMfv/32m8P6559/HqtWrcLatWtx4MAB+Pr6IjExERUVFa7eHSIiImoGXB5wXnrpJUybNg3Jycno3r071q5dCx8fH2zcuLHGbVQqFcLDw+VHWFiYvE4IgZUrV+If//gH7rnnHvTq1QtvvfUWzp49i/fee8/Vu0NERETNgEsDjsViQV5eHhISEq68oFqNhIQE5OTk1LhdWVkZOnTogKioKNxzzz344Ycf5HUnTpyAXq93aDMgIADx8fE1tmk2m2EwGBweREREpFwuDTgXLlyA3W53OAIDAGFhYdDr9U636dq1KzZu3Ij3338f//73vyFJEgYMGIDff/8dAOTt6tNmeno6AgIC5EdUVNQf3TUiIiJqwprcLKr+/ftj0qRJ6NOnDwYPHox3330XISEhWLdu3Q23mZaWhpKSEvlx+vTpBuwxERERNTUuDTjBwcHQaDQoKChwKC8oKEB4eHid2vD09ETfvn1x7NgxAJC3q0+bOp0O/v7+Dg8iIiJSLpcGHK1Wi9jYWOzevVsukyQJu3fvRv/+/evUht1ux/fff4+IiAgAQMeOHREeHu7QpsFgwIEDB+rcJhERESmbh6tfIDU1FZMnT0ZcXBz69euHlStXwmg0Ijk5GQAwadIktG3bFunp6QCAJUuW4LbbbkOXLl1QXFyMF154Ab/99hseeughAJUzrObMmYNly5bhpptuQseOHfHUU08hMjISo0ePdvXuEBERUTPg8oAzbtw4nD9/HgsXLoRer0efPn2QmZkpDxI+deoU1OorB5IuXbqEadOmQa/XIygoCLGxsfjyyy/RvXt3uc7jjz8Oo9GI6dOno7i4GAMHDkRmZma1CwISERFRy6QSQgh3d6KxGQwGBAQEoKSkpEHH45gsNnRf+CkA4MclifDRujw/yi4ZLfhJX9por0dERFSTyEAvdGjj2+Dt1uf7u8nNoiIiIiL6oxhwiIiISHEYcIiIiEhxGHCIiIhIcRhwiIiISHEYcIiIiEhxGHCIiIhIcRhwiIiISHEYcIiIiEhxGHCIiIhIcRhwiIiISHEYcIiIiEhxGHCIiIhIcRhwiIiISHE83N0Bar7OlZQjO/88zpeZEeKnw5CuIYgI8HZ3t4iIiBhw6MZk5xdi/f9+hQqAAKAC8MF3ZzFjUCcMvjnUzb0jIqKWjqeoqN7OlZRj/f9+hRCAJODwc93+X6EvqXB3F4mIqIVjwKF6y84/D1UN61QA9uYXNmZ3iIiIqmHAoXo7X2aGqGGduLyeiIjInRhwqN5C/HS1HsEJ8dM1ZneIiIiqYcChehvSNaTWIzhDu3KQMRERuRcDDtVbRIA3ZgzqBNVVh3HUKkClAmYM6oTwAC/3dY6IiAicJk43aPDNoYhu44sF734PAEjqEY4/dwtnuCEioiaBAYduWJj/lTAzNjYKXp4aN/aGiIjoCp6iIiIiIsVhwCEiIiLFYcAhIiIixWHAISIiIsVhwCEiIiLFYcAhIiIixWHAISIiIsVhwCEiIiLFYcAhIiIixeGVjInq6FxJObLzz+N8mRkhfjoM6RqCiABvd3eLiIicYMAhqoPs/EKs/9+vUKHyjukqAB98dxYzBnXC4Jt593QioqamUU5RrV69GtHR0fDy8kJ8fDxyc3NrrPv666/jjjvuQFBQEIKCgpCQkFCt/pQpU6BSqRweSUlJrt4NaqHOlZRj/f9+hRCAJODwc93+X6EvqXB3F4mI6BouDzjbtm1DamoqFi1ahEOHDqF3795ITExEYWGh0/rZ2dl44IEHsHfvXuTk5CAqKgrDhw/HmTNnHOolJSXh3Llz8uM///mPq3eFWqjs/PNQ1bBOBWBvvvO/ZSIich+XB5yXXnoJ06ZNQ3JyMrp37461a9fCx8cHGzdudFo/IyMDjzzyCPr06YOYmBi88cYbkCQJu3fvdqin0+kQHh4uP4KCgly9K9RCnS8zQ9SwTlxeT0RETYtLA47FYkFeXh4SEhKuvKBajYSEBOTk5NSpDZPJBKvVitatWzuUZ2dnIzQ0FF27dsXMmTNx8eLFGtswm80wGAwOD6K6CvHT1XoEJ8RP15jdISKiOnBpwLlw4QLsdjvCwsIcysPCwqDX6+vUxhNPPIHIyEiHkJSUlIS33noLu3fvxvLly7Fv3z6MGDECdrvdaRvp6ekICAiQH1FRUTe+U9TiDOkaUusRnKFdOciYiKipadKzqJ577jls3boV2dnZ8PLyksvHjx8vP+/Zsyd69eqFzp07Izs7G8OGDavWTlpaGlJTU+Vlg8HAkEN1FhHgjRmDOmHd/sqBxgCgVlWGmxmDOiE8wKvW7YmIqPG5NOAEBwdDo9GgoKDAobygoADh4eG1brtixQo899xz+Oyzz9CrV69a63bq1AnBwcE4duyY04Cj0+mg0/E0At24wTeHIrqNLxa8+z0AIKlHOP7cLZzhhoioiXLpKSqtVovY2FiHAcJVA4b79+9f43bPP/88li5diszMTMTFxV33dX7//XdcvHgRERERDdJvImfC/K+EmbGxUQw3RERNmMtnUaWmpuL111/Hm2++iaNHj2LmzJkwGo1ITk4GAEyaNAlpaWly/eXLl+Opp57Cxo0bER0dDb1eD71ej7KyMgBAWVkZ/va3v+Grr77CyZMnsXv3btxzzz3o0qULEhMTXb07RERE1Ay4fAzOuHHjcP78eSxcuBB6vR59+vRBZmamPPD41KlTUKuv5Kw1a9bAYrHgvvvuc2hn0aJFePrpp6HRaPDdd9/hzTffRHFxMSIjIzF8+HAsXbqUp6GIiIgIQCMNMk5JSUFKSorTddnZ2Q7LJ0+erLUtb29vfPrppw3UMyIiIlIi3k2ciIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUhwGHiIiIFIcBh4iIiBSHAYeIiIgUp1ECzurVqxEdHQ0vLy/Ex8cjNze31vrbt29HTEwMvLy80LNnT3z88ccO64UQWLhwISIiIuDt7Y2EhAT88ssvrtwFIiIiakY8XP0C27ZtQ2pqKtauXYv4+HisXLkSiYmJyM/PR2hoaLX6X375JR544AGkp6fjL3/5C7Zs2YLRo0fj0KFD6NGjBwDg+eefx6pVq/Dmm2+iY8eOeOqpp5CYmIgff/wRXl5ede6byWKDh8XWYPtquqotUwO2WxflFjsqrPZGfU3zVa9nbuTXdoeWtr9ERDeq3GJ3yfdgfdpUCSFEg/fgKvHx8bj11lvx6quvAgAkSUJUVBRmz56NBQsWVKs/btw4GI1GfPjhh3LZbbfdhj59+mDt2rUQQiAyMhLz5s3D/PnzAQAlJSUICwvD5s2bMX78+Gptms1mmM1medlgMCAqKgpRc/4Ltc6noXeZiIiIXEAym3B65f0oKSmBv79/rXVdeorKYrEgLy8PCQkJV15QrUZCQgJycnKcbpOTk+NQHwASExPl+idOnIBer3eoExAQgPj4+BrbTE9PR0BAgPyIior6o7tGRERETZhLT1FduHABdrsdYWFhDuVhYWH46aefnG6j1+ud1tfr9fL6qrKa6lwrLS0Nqamp8nLVEZzcvw+7bgJsLoqNVuQXlLq7G6QgZqsdD2ccAgCsnfAn6Dw1bu6Ra3F/ub9K4u79jQjwQvs2DX+GxGAwIGJl3eq6fAxOU6DT6aDT6aqV+2g94KNVxltgtkrwUvgHltxH56lpUX9f3F9l4/66nrdW45LvV1s92nTpKarg4GBoNBoUFBQ4lBcUFCA8PNzpNuHh4bXWr/pZnzaJiIioZXFpwNFqtYiNjcXu3bvlMkmSsHv3bvTv39/pNv3793eoDwBZWVly/Y4dOyI8PNyhjsFgwIEDB2psk4iIiFoWl5+fSU1NxeTJkxEXF4d+/fph5cqVMBqNSE5OBgBMmjQJbdu2RXp6OgDgsccew+DBg/Hiiy9i1KhR2Lp1K77++musX78eAKBSqTBnzhwsW7YMN910kzxNPDIyEqNHj3b17hAREVEz4PKAM27cOJw/fx4LFy6EXq9Hnz59kJmZKQ8SPnXqFNTqKweSBgwYgC1btuAf//gHnnzySdx0001477335GvgAMDjjz8Oo9GI6dOno7i4GAMHDkRmZma9roFDREREytUoI2xTUlKQkpLidF12dna1srFjx2Ls2LE1tqdSqbBkyRIsWbKkobpIRERECsJ7UREREZHiMOAQERGR4jDgEBERkeIw4BCRU3pDhfx8e95pnCspd2NviIjqhwGHiKrJzi/Ekzu+l5czj+gxb/u32PdzoRt7RURUdww4ROTgXEk51v/vVwhxpUwSgBDAuv2/Ql9SUfPGRERNBAMOETnIzj8PVQ3rVAD25vMoDhE1fQw4ROTgfJkZooZ14vJ6IqKmjgGHiByE+OlqPYIT4qdrzO4QEd0QBhwicjCka0itR3CGdg1tzO4QEd0QBhwichAR4I0ZgzpBpQLUKjj8nDGoE8IDeM83Imr6GuVeVETUvAy+ORRdw/yxN78Q58vMCPHTYWjXUIYbImo2GHCIyKnwAC880K+9u7vRaK69sGFCtzBEBHi7sUdE9EfwFBURtXi8sCGR8jDgEFGLxgsbEikTAw4RtWi8sCGRMjHgEFGLxgsbEikTAw4RtWi8sCGRMjHgEFGLxgsbEikTAw4RtWi8sCGRMvE6OETU4vHChkTKw4BDRISWd2FDIqXjKSoiIiJSHAYcIiIiUhwGHCIiIlIcBhwiIiJSHAYcIiIiUhwGHCIiIlIcBhwiIiJSHAYcIiIiUhwGHCIiIlIcBhwiIiKF0Rsq5Ofb807jXEm5G3vjHgw4RERECpKdX4gnd3wvL2ce0WPe9m+x7+dCN/aq8THgEBERKcS5knKs/9+vEOJKmSQAIYB1+3+FvqSi5o0VhgGHiIhIIbLzz0NVwzoVgL35LecojksDTlFRESZMmAB/f38EBgZi6tSpKCsrq7X+7Nmz0bVrV3h7e6N9+/Z49NFHUVJS4lBPpVJVe2zdutWVu0JERNTknS8zQ9SwTlxe31J4uLLxCRMm4Ny5c8jKyoLVakVycjKmT5+OLVu2OK1/9uxZnD17FitWrED37t3x22+/4eGHH8bZs2fx9ttvO9TdtGkTkpKS5OXAwEBX7goREVGTF+KngwpwGnJUl9e3FC4LOEePHkVmZiYOHjyIuLg4AMArr7yCkSNHYsWKFYiMjKy2TY8ePfDOO+/Iy507d8YzzzyDiRMnwmazwcPjSncDAwMRHh7uqu4TEZGCXDurKKFbGCICvN3YI9cY0jUEH3x31uk6AWBo19DG7ZAbuewUVU5ODgIDA+VwAwAJCQlQq9U4cOBAndspKSmBv7+/Q7gBgFmzZiE4OBj9+vXDxo0bIURNB+UAs9kMg8Hg8CAiopahJc0qigjwxoxBnaBSAWoVHH7OGNQJ4QFe7u5io3HZERy9Xo/QUMek6OHhgdatW0Ov19epjQsXLmDp0qWYPn26Q/mSJUtw5513wsfHB7t27cIjjzyCsrIyPProo07bSU9Px+LFi29sR4iIqNmqaVYRUDmrqGuYv+K+9AffHIquYf7Ym1+I82VmhPjpMLRrqOL283rqHXAWLFiA5cuX11rn6NGjN9yhKgaDAaNGjUL37t3x9NNPO6x76qmn5Od9+/aF0WjECy+8UGPASUtLQ2pqqkPbUVFRf7iPRETUtFXNKqppTMre/EI80K99I/fK9cIDvBS5X/VR74Azb948TJkypdY6nTp1Qnh4OAoLHQ//2Ww2FBUVXXfsTGlpKZKSktCqVSvs2LEDnp6etdaPj4/H0qVLYTabodNVH0Cl0+mclhMRkbJxVlHLVe+AExISgpCQkOvW69+/P4qLi5GXl4fY2FgAwJ49eyBJEuLj42vczmAwIDExETqdDjt37oSX1/UPqR0+fBhBQUEMMURE5ICziloulw0y7tatG5KSkjBt2jTk5ubiiy++QEpKCsaPHy/PoDpz5gxiYmKQm5sLoDLcDB8+HEajERs2bIDBYIBer4der4fdbgcAfPDBB3jjjTdw5MgRHDt2DGvWrMGzzz6L2bNnu2pXiIiomRrSNaTWIzgtaVZRS+PS6+BkZGQgJSUFw4YNg1qtxpgxY7Bq1Sp5vdVqRX5+PkwmEwDg0KFD8gyrLl26OLR14sQJREdHw9PTE6tXr8bcuXMhhECXLl3w0ksvYdq0aa7cFSIiaoaqZhWt2/+rfCSn6mdLm1XU0qhEbfOrFcpgMCAgIECegq4El4wW/KQvdXc3iKiZqLDakbz5IABg05Rb4eWpcXOPXEtfUtHiZxU1pshAL3Ro49vg7dbn+9ulR3CIiIiaAs4qanl4s00iIiJSHAYcIiIiUhwGHCIiIlIcBhwiIiJSHAYcIiIiUhwGHCIiIlIcBhwiIiJSHAYcIiIiUhwGHCIiIlIcBhwiIiJSHAYcIiIiUhwGHCIiIlIcBhwiIiJSHAYcIiIiUhwGHCIiIlIcBhwiIiJSHAYcIiIiUhwGHCIiIlIcBhwiIiJSHAYcIiIiUhwGHCKiFkhvqJCfb887jXMl5W7sDVHDY8AhImphsvML8eSO7+XlzCN6zNv+Lfb9XOjGXhE1LAYcIqIW5FxJOdb/71cIcaVMEoAQwLr9v0JfUlHzxkTNCAMOEVELkp1/Hqoa1qkA7M3nURxSBgYcIqIW5HyZGaKGdeLyeiIlYMAhImpBQvx0tR7BCfHTNWZ3iFyGAYeIqAUZ0jWk1iM4Q7uGNmZ3iFyGAYeIqAWJCPDGjEGdoFIBahUcfs4Y1AnhAV7u7iJRg/BwdweIiKhxDb45FF3D/LE3vxDny8wI8dNhaNdQhhtSFAYcIqIWKDzACw/0a+/ubhC5DE9RERERkeIw4BAREZHiMOAQERGR4jDgEBERkeK4NOAUFRVhwoQJ8Pf3R2BgIKZOnYqysrJatxkyZAhUKpXD4+GHH3aoc+rUKYwaNQo+Pj4IDQ3F3/72N9hsNlfuChERETUjLp1FNWHCBJw7dw5ZWVmwWq1ITk7G9OnTsWXLllq3mzZtGpYsWSIv+/j4yM/tdjtGjRqF8PBwfPnllzh37hwmTZoET09PPPvssy7bFyIiImo+XBZwjh49iszMTBw8eBBxcXEAgFdeeQUjR47EihUrEBkZWeO2Pj4+CA8Pd7pu165d+PHHH/HZZ58hLCwMffr0wdKlS/HEE0/g6aefhlardcn+EBERUfPhslNUOTk5CAwMlMMNACQkJECtVuPAgQO1bpuRkYHg4GD06NEDaWlpMJlMDu327NkTYWFhclliYiIMBgN++OEHp+2ZzWYYDAaHBxERESmXy47g6PV6hIY63tPEw8MDrVu3hl6vr3G7//u//0OHDh0QGRmJ7777Dk888QTy8/Px7rvvyu1eHW4AyMs1tZueno7Fixf/kd0hIiKiZqTeAWfBggVYvnx5rXWOHj16wx2aPn26/Lxnz56IiIjAsGHDcPz4cXTu3PmG2kxLS0Nqaqq8bDAYEBUVdcN9JCIioqat3gFn3rx5mDJlSq11OnXqhPDwcBQWFjqU22w2FBUV1Ti+xpn4+HgAwLFjx9C5c2eEh4cjNzfXoU5BQQEA1NiuTqeDTqer82sSERFR81bvgBMSEoKQkJDr1uvfvz+Ki4uRl5eH2NhYAMCePXsgSZIcWuri8OHDAICIiAi53WeeeQaFhYXyKbCsrCz4+/uje/fu9dwbIiIiUiKXDTLu1q0bkpKSMG3aNOTm5uKLL75ASkoKxo8fL8+gOnPmDGJiYuQjMsePH8fSpUuRl5eHkydPYufOnZg0aRIGDRqEXr16AQCGDx+O7t274//9v/+Hb7/9Fp9++in+8Y9/YNasWTxKQ0RERABcfKG/jIwMxMTEYNiwYRg5ciQGDhyI9evXy+utVivy8/PlWVJarRafffYZhg8fjpiYGMybNw9jxozBBx98IG+j0Wjw4YcfQqPRoH///pg4cSImTZrkcN0cIiIiatlUQgjh7k40NoPBgICAAJSUlMDf39/d3WkQl4wW/KQvdXc3iIiIEBnohQ5tfBu83fp8f/NeVERERKQ4DDhERESkOAw4REREpDgMOERERKQ4DDhERESkOAw4REREpDgMOERERKQ4DDhERESkOAw4REREpDgMOERERKQ4DDhERESkOAw4REREpDgMOERERKQ4DDhERESkOAw4REREpDgMOERERKQ4DDhERESkOAw4REREpDgMOERERKQ4DDhERESkOAw4REREpDgMOERERKQ4DDhERESkOAw4REREpDgMOERERKQ4DDhERESkOAw4REREpDgMOERERKQ4DDgKofNUo42fFl6eaqhU7u4NERGRe3m4uwPUMHy0Hrg5rBUAwC4JmCw2lFvsMFrs8nOrXbi5l0RERI2DAUeBNGoVWnl5opWXp0O52WaXQ0+5xQaj2Y5yqx2CuYeIiBSGAacF0XlooPPQINDnSpkkCZRb7TBdPtJT9dNiY+ohIqLmiwGnhVOrVfDVecBX5wFAJ5db7ZJj6DFXPpeYe4iIqBlgwCGnPDVqBHirEeB95TSXEAIVVumqIz12GC02mK2SG3tKRERUHQMO1ZlKpYK3VgNvrQZtriqvGtQshx6zDeVWO2wc1ExERG7i0mniRUVFmDBhAvz9/REYGIipU6eirKysxvonT56ESqVy+ti+fbtcz9n6rVu3unJXqBZVg5rD/L3QMdgXPdoG4Nbo1ujbPhAx4a0Q1dobwX5aeGs1nMJORESNwqVHcCZMmIBz584hKysLVqsVycnJmD59OrZs2eK0flRUFM6dO+dQtn79erzwwgsYMWKEQ/mmTZuQlJQkLwcGBjZ4/+mP8fLUwMtTgyBfrVxWNajZWDWN3WxHuZWDmomIqGG5LOAcPXoUmZmZOHjwIOLi4gAAr7zyCkaOHIkVK1YgMjKy2jYajQbh4eEOZTt27MD9998PPz8/h/LAwMBqdanpcxzUfIXFJl2ewn5lJle5xc5BzUREdENcdooqJycHgYGBcrgBgISEBKjVahw4cKBObeTl5eHw4cOYOnVqtXWzZs1CcHAw+vXrh40bN0LUcjEXs9kMg8Hg8KCmReuhRoCPJyIDvdEl1A+92gWiX8fW6BMViJvC/NAuyBtBvp7QefLi20REdH0uO4Kj1+sRGhrq+GIeHmjdujX0en2d2tiwYQO6deuGAQMGOJQvWbIEd955J3x8fLBr1y488sgjKCsrw6OPPuq0nfT0dCxevPjGdoTc5upBzVez2SWYrFemrlcNbrbzcA8REV1W74CzYMECLF++vNY6R48eveEOVSkvL8eWLVvw1FNPVVt3dVnfvn1hNBrxwgsv1Bhw0tLSkJqaKi8bDAZERUX94T6Se3ho1PDXqOF/zZWaK6pdsNCOCl6pmYioRap3wJk3bx6mTJlSa51OnTohPDwchYWFDuU2mw1FRUV1Gjvz9ttvw2QyYdKkSdetGx8fj6VLl8JsNkOn01Vbr9PpnJaTslQNam59zaDmyqM9Nvm6PbwvFxGR8tU74ISEhCAkJOS69fr374/i4mLk5eUhNjYWALBnzx5IkoT4+Pjrbr9hwwbcfffddXqtw4cPIygoiCGGqlGrVfDTecDPyaDmq29NYbLYOaiZiEhBXDYGp1u3bkhKSsK0adOwdu1aWK1WpKSkYPz48fIMqjNnzmDYsGF466230K9fP3nbY8eOYf/+/fj444+rtfvBBx+goKAAt912G7y8vJCVlYVnn30W8+fPd9WukAJpPdTQemgd7sslxOUp7Ga7w4wui41XaiYiam5ceh2cjIwMpKSkYNiwYVCr1RgzZgxWrVolr7darcjPz4fJZHLYbuPGjWjXrh2GDx9erU1PT0+sXr0ac+fOhRACXbp0wUsvvYRp06a5cleoBVCpVPDResBH6/ixsNmly3dgrww9FVY7zDYJFpvE8T1ERE2UStQ2v1qhDAYDAgICUFJSAn9/f3d3h5opIQTMNglmqwSzrTL0mG12VFxe5sULiailigz0Qoc2vg3ebn2+v3kvKqIbpFKp5IHNgGe19ZIk5NBjtknykZ+qQMSBzkRErsOAQ+QiarXz6/hUsUvC4YhPZfC5Eoh4s1IiohvHgEPkJhp11Zgf5+ut9suBp+rIz1WnwCw2iRc2JCKqBQMOURPlqVHDU6OuNsW9isV29dify6fA5PE/Eqe8E1GLxoBD1ExVTnVXo5WTdUIIWOzXBp8rgYgzwIhI6RhwiBRIpVJB56GBzkNT7ZYWAGeAEZHyMeAQtUD1mQFmkwSEAAQEcDn3COBKmfy8MjhVLTv8hJDr4HI9cdV6VFt/ZRtny1eXOX3967UthMMyESkPAw4RVXO9GWBKI8SV8CQJAemqQFW1LAkBIVUtVwYkSVxTR7p6Wcihq2p7Sbp2m2vqSIJjp4gaCAMOEbV4KpUKKlXlczVU7u0MqoJO3YKW0zr1CFoWu8TbkZAiMeAQETUxarWqUYNWmdmGS0YLLpksMJrtjfa6RK7EgENE1ML56Tzgp/NAVGsfmG12XDJacclkgaHcylNm1Gwx4BARkUznoUF4gAbhAV6wSwLFpsojO8UmK28vQs0KAw4RETmlUavQxk+HNn46CCFgqLCh2GRBkdGCCivH7VDTxoBDRETXpVKpEODtiQBvT3Ro44tyix1FJgsuGS0oM9s43Z6aHAYcIiKqN2+tBm213mgb6A2rXcIlkwWXjFaUlFt5nzRqEhhwiIjoD/HUqBHayguhrbwgSQIl5VYUmSwoNll4VWxyGwYcIiJqMGq1CkG+WgT5agEApRVWFJusKDJaYLJwCjo1HgYcIiJymVZenmjl5Ymo1j6osNrlU1mGCivH7ZBLMeAQEVGj8PLUICLAGxEB3rDZJRSXW3HJaEFxuRU2TkGnBsaAQ0REjc5Do0awnw7BVVPQy224ZLKgyGSBmVPQqQEw4BARkVupVCoE+HgiwMcT0fCFyWJDkbHy4oKlFTZ3d4+aKQYcIiJqUny0HvDReqBdEGCxSZUXFzRZUGLirSOo7hhwiIioydJ6qBHq74VQ/8pbR5SUWy/fOoJT0Kl2DDhERNQsaNQqtPbVorWvFkIIlJptKDZWXnOnnFPQ6RoMOERE1OyoVCr4e3nC38sT7dtUTkEvMlbeGLS0greOIAYcIiJSAC9PDSIDvRF5+dYRxSarfBd03jqiZWLAISIiRfHUqBHSSoeQVjpIkoChwopLl6+mbLFxCnpLwYBDRESKpVarEOijRaCPFh2DfVFhtcNil2C3C1glCXZJwGYXsEkCNrt0+aeATap8bpcET3c1Uww4RETUYnh5auDlqalzfSGEHHSsdunyT8flqjB0bVBiMHIvBhwiIqIaqFQqeGpU8NSgXsEIwJUjQpJwOGJUc1CqDEccMtQwGHCIiIhcwEOjhkf9MhEAQJKuDkPi8mm06qfPrn3OwdSOGHCIiIiaELVaBZ26/slIiKuOCkkcZ8SAQ0REpAAqlQpaDxUAwBscZ8SAQ0RE1IK5YpxRfdtxBQYcIiIiuiE3Os6oMahd1fAzzzyDAQMGwMfHB4GBgXXaRgiBhQsXIiIiAt7e3khISMAvv/ziUKeoqAgTJkyAv78/AgMDMXXqVJSVlblgD4iIiKi5clnAsVgsGDt2LGbOnFnnbZ5//nmsWrUKa9euxYEDB+Dr64vExERUVFTIdSZMmIAffvgBWVlZ+PDDD7F//35Mnz7dFbtAREREzZRKCNcOEdq8eTPmzJmD4uLiWusJIRAZGYl58+Zh/vz5AICSkhKEhYVh8+bNGD9+PI4ePYru3bvj4MGDiIuLAwBkZmZi5MiR+P333xEZGVmnPhkMBgQEBKCkpAT+/v5/aP+IiIiocdTn+7vJjME5ceIE9Ho9EhIS5LKAgADEx8cjJycH48ePR05ODgIDA+VwAwAJCQlQq9U4cOAA7r33Xqdtm81mmM1mebmkpARA5RtFREREzUPV93Zdjs00mYCj1+sBAGFhYQ7lYWFh8jq9Xo/Q0FCH9R4eHmjdurVcx5n09HQsXry4WnlUVNQf7TYRERE1stLSUgQEBNRap14BZ8GCBVi+fHmtdY4ePYqYmJj6NOtyaWlpSE1NlZclSUJRURHatGkDlUrVoK9lMBgQFRWF06dPt4jTX9xfZeP+Khv3V9mUuL9CCJSWltZpSEq9As68efMwZcqUWut06tSpPk3KwsPDAQAFBQWIiIiQywsKCtCnTx+5TmFhocN2NpsNRUVF8vbO6HQ66HQ6h7K6zuy6Uf7+/or5g6oL7q+ycX+VjfurbErb3+sdualSr4ATEhKCkJCQG+rQ9XTs2BHh4eHYvXu3HGgMBgMOHDggz8Tq378/iouLkZeXh9jYWADAnj17IEkS4uPjXdIvIiIian5cNk381KlTOHz4ME6dOgW73Y7Dhw/j8OHDDtesiYmJwY4dOwBUXklxzpw5WLZsGXbu3Invv/8ekyZNQmRkJEaPHg0A6NatG5KSkjBt2jTk5ubiiy++QEpKCsaPH1/nGVRERESkfC4bZLxw4UK8+eab8nLfvn0BAHv37sWQIUMAAPn5+fKMJgB4/PHHYTQaMX36dBQXF2PgwIHIzMyEl5eXXCcjIwMpKSkYNmwY1Go1xowZg1WrVrlqN+pNp9Nh0aJF1U6JKRX3V9m4v8rG/VW2lra/13L5dXCIiIiIGpvLTlERERERuQsDDhERESkOAw4REREpDgMOERERKQ4DDhERESkOA04DWr16NaKjo+Hl5YX4+Hjk5ua6u0sus3//ftx1112IjIyESqXCe++95+4uuVR6ejpuvfVWtGrVCqGhoRg9ejTy8/Pd3S2XWbNmDXr16iVfAbV///745JNP3N2tRvHcc8/J1+VSqqeffhoqlcrh0dRusdPQzpw5g4kTJ6JNmzbw9vZGz5498fXXX7u7Wy4RHR1d7ferUqkwa9Ysd3etUTHgNJBt27YhNTUVixYtwqFDh9C7d28kJiZWu7WEUhiNRvTu3RurV692d1caxb59+zBr1ix89dVXyMrKgtVqxfDhw2E0Gt3dNZdo164dnnvuOeTl5eHrr7/GnXfeiXvuuQc//PCDu7vmUgcPHsS6devQq1cvd3fF5W655RacO3dOfnz++efu7pLLXLp0Cbfffjs8PT3xySef4Mcff8SLL76IoKAgd3fNJQ4ePOjwu83KygIAjB071s09a2SCGkS/fv3ErFmz5GW73S4iIyNFenq6G3vVOACIHTt2uLsbjaqwsFAAEPv27XN3VxpNUFCQeOONN9zdDZcpLS0VN910k8jKyhKDBw8Wjz32mLu75DKLFi0SvXv3dnc3Gs0TTzwhBg4c6O5uuM1jjz0mOnfuLCRJcndXGhWP4DQAi8WCvLw8JCQkyGVqtRoJCQnIyclxY8/IVaquwN26dWs398T17HY7tm7dCqPRiP79+7u7Oy4za9YsjBo1yuFzrGS//PILIiMj0alTJ0yYMAGnTp1yd5dcZufOnYiLi8PYsWMRGhqKvn374vXXX3d3txqFxWLBv//9bzz44INQqVTu7k6jYsBpABcuXIDdbkdYWJhDeVhYGPR6vZt6Ra4iSRLmzJmD22+/HT169HB3d1zm+++/h5+fH3Q6HR5++GHs2LED3bt3d3e3XGLr1q04dOgQ0tPT3d2VRhEfH4/NmzcjMzMTa9aswYkTJ3DHHXegtLTU3V1ziV9//RVr1qzBTTfdhE8//RQzZ87Eo48+6nA7IaV67733UFxcjClTpri7K43OZfeiIlKqWbNm4ciRI4oeswAAXbt2xeHDh1FSUoK3334bkydPxr59+xQXck6fPo3HHnsMWVlZDve9U7IRI0bIz3v16oX4+Hh06NAB//3vfzF16lQ39sw1JElCXFwcnn32WQCV90Y8cuQI1q5di8mTJ7u5d661YcMGjBgxokXekJpHcBpAcHAwNBoNCgoKHMoLCgoQHh7upl6RK6SkpODDDz/E3r170a5dO3d3x6W0Wi26dOmC2NhYpKeno3fv3nj55Zfd3a0Gl5eXh8LCQvzpT3+Ch4cHPDw8sG/fPqxatQoeHh6w2+3u7qLLBQYG4uabb8axY8fc3RWXiIiIqBbMu3XrpujTcgDw22+/4bPPPsNDDz3k7q64BQNOA9BqtYiNjcXu3bvlMkmSsHv3bkWPWWhJhBBISUnBjh07sGfPHnTs2NHdXWp0kiTBbDa7uxsNbtiwYfj+++9x+PBh+REXF4cJEybg8OHD0Gg07u6iy5WVleH48eOIiIhwd1dc4vbbb692WYeff/4ZHTp0cFOPGsemTZsQGhqKUaNGubsrbsFTVA0kNTUVkydPRlxcHPr164eVK1fCaDQiOTnZ3V1zibKyMof/7Z04cQKHDx9G69at0b59ezf2zDVmzZqFLVu24P3330erVq3ksVUBAQHw9vZ2c+8aXlpaGkaMGIH27dujtLQUW7ZsQXZ2Nj799FN3d63BtWrVqtpYKl9fX7Rp00axY6zmz5+Pu+66Cx06dMDZs2exaNEiaDQaPPDAA+7umkvMnTsXAwYMwLPPPov7778fubm5WL9+PdavX+/urrmMJEnYtGkTJk+eDA+PFvpV7+5pXEryyiuviPbt2wutViv69esnvvrqK3d3yWX27t0rAFR7TJ482d1dcwln+wpAbNq0yd1dc4kHH3xQdOjQQWi1WhESEiKGDRsmdu3a5e5uNRqlTxMfN26ciIiIEFqtVrRt21aMGzdOHDt2zN3dcqkPPvhA9OjRQ+h0OhETEyPWr1/v7i651KeffioAiPz8fHd3xW1UQgjhnmhFRERE5Bocg0NERESKw4BDREREisOAQ0RERIrDgENERESKw4BDREREisOAQ0RERIrDgENERESKw4BDREREisOAQ0RERIrDgENERESKw4BDREREivP/Adon2KLP5FekAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"20\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"21\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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s2VN33nmn6tSpo+eff14FBQV65JFH/tRcq+q2227TQw89pNtuu01du3bVhg0b3L4xV1Zlft7Sqdfrueee07x589S6dWuFhYWV2kMjndrz9vDDD2vMmDHq3bu3br75Zudl4s2bN9eUKVPOudazXX/99Zo7d67Wr1/vPORU1b+tkJAQrVixQtdcc406d+7scifjLVu26PXXXz+nkJKTk6Nvv/1WEyZMOPcJwry8c/EW4HnXXnutERAQYOTn55fZZ/To0Yafn59x6NAhwzAM4+DBg8bgwYONwMBAIyQkxLj99tuNbdu2lbpsuLi42Jg0aZIRGhpqWCwWl0uhjx49akyZMsWIiooy/Pz8jEsuucR49NFHXS4HLrFo0SKjS5cuhtVqNUJCQozevXs7L7kt8cwzzxgxMTGGn5+fER4ebowfP974/fffXfr07t3buOyyy0qNX3LJ86OPPup2/rt37zZGjhxpREREGH5+fsZFF11k/O1vfzP++9//Ovu4u0z8+++/N+Lj44369esbTZo0McaOHWt88803VXqddNYl14ZhGFu2bDESEhKM+vXrG4GBgUbfvn2NL774wqVPyWXimzdvdmkv6zL/s5Vc2n3w4MEy+xw/fty49dZbjeDgYKNBgwbGTTfdZOTk5JR5mfjZY5XUuGfPHpf2in7eWVlZxsCBA40GDRoYkpyXjJc1tzfeeMM5XqNGjYzhw4cbv/76q0ufUaNGGfXq1SvzdaiMjh07Grfeeqtz+Vz+tgzj1GX/U6ZMMS699FIjICDACAwMNGJjY40HHnjAyMvLc/Yr6/f5bM8995wRGBho2Gy2Ss0DtYvFMM6Ts+AAAOel//znP5owYYL27t3rcgNBb+vSpYv69OnjcgNNoATn4AAAyjV8+HA1bdrU7QnF3pKamqoff/xRycnJ3i4F5yn24AAAANNhDw4AADAdjwacDRs26Nprr1VUVJQsFkulPhBt3bp1+stf/iKr1arWrVu7/UTfBQsWqHnz5goICFBcXJw2bdpU/cUDAIALlkcDTn5+vjp16lTp47Z79uzRwIED1bdvX23dulWTJ0/Wbbfdpk8++cTZ54033lBSUpJmzZqlLVu2qFOnTkpISHB7KS8AAKidauwcHIvFohUrVmjQoEFl9rnnnnv04Ycfatu2bc62YcOGKTc3V6mpqZJOfc7J5Zdf7ryRmsPhUHR0tCZNmqQZM2Z4dA4AAODCcF7d6C89Pb3UbeMTEhI0efJkSaduUZ+RkeFy1ryPj4/i4+OVnp5e5rgFBQUud+F0OBw6cuSIGjduzAe0AQBwgTAMQ0ePHlVUVJR8fMo/CHVeBZysrCyFh4e7tIWHh8tms+nEiRP6/fffZbfb3fYp+awfd1JSUjR79myP1AwAAGrWvn37dPHFF5fb57wKOJ6SnJyspKQk53JeXp6aNm2qffv2Vcvn2/w77Qct+eJn2R2lj/b5+lg0ukdzTfnrpX/6eQAAqM1sNpuio6NdPsy4LOdVwImIiFB2drZLW3Z2toKCglS3bl35+vrK19fXbZ+IiIgyx7VarbJaraXag4KCqiXgjOzdVq98lS0fN2czWSzSqN5tFRRU708/DwAAUKVOLzmv7oPTvXt3rV692qUtLS3N+SFs/v7+io2NdenjcDi0evVqr36abIsm9fTw4I7yOeP19rVY5GORHh7cUc2bEG4AAKhJHt2Dc+zYMe3atcu5vGfPHm3dulWNGjVS06ZNlZycrP379+vVV1+VJN1xxx165plnNH36dN1yyy1as2aN3nzzTX344YfOMZKSkjRq1Ch17dpV3bp10/z585Wfn68xY8Z4cioVGtI1Wu0vCtKAJz+TJI3p2Vwj4poRbgAA8AKPBpyvvvpKffv2dS6XnAczatQoLVmyRAcOHNDevXud61u0aKEPP/xQU6ZM0ZNPPqmLL75YL730khISEpx9hg4dqoMHD2rmzJnKyspS586dlZqaWurEY29o1vh0mEn666UK9D+vjgACAFBr1MrPorLZbAoODlZeXl61nINT4nhhsdrNPHVTwu/nJBBwAACoRlV5/z6vzsEBAACoDgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOnW8XQAAALgwFdkdKih2qKDIfuprsUMFxXYF1/VTZHBdr9ZGwAEAAG4V/hFYCoodf3z/x3LRqe/tDsPtdnX9fGu40tIIOAAA1FJnBpiz98QUlhNgLgQEHAAATMgwDBU6DyGdEWT++L6w2KELOL9UiIADAMAFyDAMl/NenIeQakmAqQgBBwCA89DZAabkvJczz4kxanGAqUiNXCa+YMECNW/eXAEBAYqLi9OmTZvK7NunTx9ZLJZSj4EDBzr7jB49utT6xMTEmpgKAADVwuEwdLLIrrzjRcqxndS+I8e1K+eotu3PU8Yvv2vjniP6em+uvv/Npt05+fr19xM6eLRAthPFKigi3FTE43tw3njjDSUlJWnhwoWKi4vT/PnzlZCQoMzMTIWFhZXq/84776iwsNC5fPjwYXXq1ElDhgxx6ZeYmKjFixc7l61Wq+cmAQBAFTkcRqk9LgXFdp38Y09MkZ2Q4kkeDzhPPPGExo4dqzFjxkiSFi5cqA8//FCLFi3SjBkzSvVv1KiRy/Ly5csVGBhYKuBYrVZFRER4rnAAAMpxdoBxOZG32K7CYtKLN3k04BQWFiojI0PJycnONh8fH8XHxys9Pb1SY7z88ssaNmyY6tWr59K+bt06hYWFKSQkRFdffbXmzZunxo0bux2joKBABQUFzmWbzXYOswEA1CZ2h+H23JeSIFNkJ8CczzwacA4dOiS73a7w8HCX9vDwcO3cubPC7Tdt2qRt27bp5ZdfdmlPTEzU3//+d7Vo0UK7d+/WvffeqwEDBig9PV2+vqVvLpSSkqLZs2f/uckAAEyluOQS6jMOHxFgzOO8vorq5ZdfVocOHdStWzeX9mHDhjm/79Chgzp27KhWrVpp3bp16tevX6lxkpOTlZSU5Fy22WyKjo72XOEAgBpldxgqdjj++GrIbv/j61ntxXbDGWSKCTCm5tGA06RJE/n6+io7O9ulPTs7u8LzZ/Lz87V8+XLNmTOnwudp2bKlmjRpol27drkNOFarlZOQAeA85nC4DySugeVUe5G9dD9O1sXZPBpw/P39FRsbq9WrV2vQoEGSJIfDodWrV2vixInlbvvWW2+poKBAI0aMqPB5fv31Vx0+fFiRkZHVUTYAoIoMo+xA4tLucDj3pDiX7UatviEdPMPjh6iSkpI0atQode3aVd26ddP8+fOVn5/vvKpq5MiRuuiii5SSkuKy3csvv6xBgwaVOnH42LFjmj17tgYPHqyIiAjt3r1b06dPV+vWrZWQkODp6QCAaRXbHWeFkTNCit19e8nelAv5M4tgTh4POEOHDtXBgwc1c+ZMZWVlqXPnzkpNTXWeeLx37175+LjebzAzM1OfffaZVq1aVWo8X19fffvtt3rllVeUm5urqKgo9e/fX3PnzuUwFFAJdochh2E4vzqMP9pK2o1Tu/vPftOq6BCAofI7VLx9edtWMHb5Q1fi8IX7Dmdv565X6T6le5Xq42ags7erzCGXc3ruUutPhxYO88BMLEZF/3KYkM1mU3BwsPLy8hQUFFRt4x4vLFa7mZ9Ikr6fk6BA//P6HG6cpyoTQBwOue9jnLFtSR+jZFvxv2wANSKqYYCaNa5Xcccqqsr7N+/AQBURQADg/EfAwXnNcUZAMHRqF7pz+YyvZ7cbOr3s+CM0OJf/6G+cMW5J2DBKlp39SsY+vR4AcP4j4MCJMAEAMAsCjkkcLyzWgbyThAkAAETAMY2CIodybAUVdwQAoBbwqbgLAADAhYWAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATKdGAs6CBQvUvHlzBQQEKC4uTps2bSqz75IlS2SxWFweAQEBLn0Mw9DMmTMVGRmpunXrKj4+Xj/++KOnpwEAAC4QHg84b7zxhpKSkjRr1ixt2bJFnTp1UkJCgnJycsrcJigoSAcOHHA+fvnlF5f1jzzyiJ566iktXLhQGzduVL169ZSQkKCTJ096ejoAAOAC4PGA88QTT2js2LEaM2aM2rVrp4ULFyowMFCLFi0qcxuLxaKIiAjnIzw83LnOMAzNnz9f//rXv3T99derY8eOevXVV/Xbb7/p3Xff9fR0AADABcCjAaewsFAZGRmKj48//YQ+PoqPj1d6enqZ2x07dkzNmjVTdHS0rr/+em3fvt25bs+ePcrKynIZMzg4WHFxcWWOWVBQIJvN5vIAAADm5dGAc+jQIdntdpc9MJIUHh6urKwst9u0adNGixYt0nvvvafXXntNDodDPXr00K+//ipJzu2qMmZKSoqCg4Odj+jo6D87NQAAcB47766i6t69u0aOHKnOnTurd+/eeueddxQaGqrnn3/+nMdMTk5WXl6e87Fv375qrBgAAJxvPBpwmjRpIl9fX2VnZ7u0Z2dnKyIiolJj+Pn5qUuXLtq1a5ckOberyphWq1VBQUEuDwAAYF4eDTj+/v6KjY3V6tWrnW0Oh0OrV69W9+7dKzWG3W7Xd999p8jISElSixYtFBER4TKmzWbTxo0bKz0mAAAwtzqefoKkpCSNGjVKXbt2Vbdu3TR//nzl5+drzJgxkqSRI0fqoosuUkpKiiRpzpw5uuKKK9S6dWvl5ubq0Ucf1S+//KLbbrtN0qkrrCZPnqx58+bpkksuUYsWLXTfffcpKipKgwYN8vR0AADABcDjAWfo0KE6ePCgZs6cqaysLHXu3FmpqanOk4T37t0rH5/TO5J+//13jR07VllZWQoJCVFsbKy++OILtWvXztln+vTpys/P17hx45Sbm6uePXsqNTW11A0BAQBA7WQxDMPwdhE1zWazKTg4WHl5edV6Ps7xwmK1m/mJJOn7OQkK9Pd4fnT6Pb9QO7OO1tjzAQBQlqiGAWrWuF61j1uV9+/z7ioqAACAP4uAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATKdGAs6CBQvUvHlzBQQEKC4uTps2bSqz74svvqirrrpKISEhCgkJUXx8fKn+o0ePlsVicXkkJiZ6ehoAAOAC4fGA88YbbygpKUmzZs3Sli1b1KlTJyUkJCgnJ8dt/3Xr1unmm2/W2rVrlZ6erujoaPXv31/79+936ZeYmKgDBw44H6+//rqnpwIAAC4QHg84TzzxhMaOHasxY8aoXbt2WrhwoQIDA7Vo0SK3/ZcuXao777xTnTt3VkxMjF566SU5HA6tXr3apZ/ValVERITzERIS4umpAACAC4RHA05hYaEyMjIUHx9/+gl9fBQfH6/09PRKjXH8+HEVFRWpUaNGLu3r1q1TWFiY2rRpo/Hjx+vw4cNljlFQUCCbzebyAAAA5uXRgHPo0CHZ7XaFh4e7tIeHhysrK6tSY9xzzz2KiopyCUmJiYl69dVXtXr1aj388MNav369BgwYILvd7naMlJQUBQcHOx/R0dHnPikAAHDeq+PtAsrz0EMPafny5Vq3bp0CAgKc7cOGDXN+36FDB3Xs2FGtWrXSunXr1K9fv1LjJCcnKykpyblss9kIOQAAmJhH9+A0adJEvr6+ys7OdmnPzs5WREREuds+9thjeuihh7Rq1Sp17Nix3L4tW7ZUkyZNtGvXLrfrrVargoKCXB4AAMC8PBpw/P39FRsb63KCcMkJw927dy9zu0ceeURz585VamqqunbtWuHz/Prrrzp8+LAiIyOrpW4AAHBh8/hVVElJSXrxxRf1yiuvaMeOHRo/frzy8/M1ZswYSdLIkSOVnJzs7P/www/rvvvu06JFi9S8eXNlZWUpKytLx44dkyQdO3ZM//jHP/Tll1/q559/1urVq3X99derdevWSkhI8PR0AADABcDj5+AMHTpUBw8e1MyZM5WVlaXOnTsrNTXVeeLx3r175eNzOmc999xzKiws1I033ugyzqxZs3T//ffL19dX3377rV555RXl5uYqKipK/fv319y5c2W1Wj09HQAAcAGwGIZheLuImmaz2RQcHKy8vLxqPR/neGGx2s38RJL0/ZwEBfrX3Dncv+cXamfW0Rp7PgAAyhLVMEDNGter9nGr8v7NZ1EBAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTqblb7QIXuAN5J7Qu86AOHitQaH2r+rQJVWRwXW+XBQBwg4CDc1ab3vDXZebohf/9JIskQ5JF0vvf/qbbe7VU70vDvFwdAOBsBByck9r0hn8g74Re+N9PMoxTc5VOf31+w09qEx6kiOAAb5UHAHCDc3BQZWe+4TsMuXx9fsNPyso76e0Sq9W6zIOylLHOImltZk5NlgMAqAQCDqqstr3hHzxW4Nxjczbjj/UAgPMLAQdVVtve8EPrW8sNdKH1rTVZDgCgEgg4qLLa9obfp01ouYGubxtznXMEAGZAwEGV1bY3/Mjgurq9V0tZzkh1PhbJYpFu79WSE4wB4DxEwEGV1cY3/N6Xhinlhg7O5cT2EXpiSGfTXTEGAGbBZeI4J70vDVPzxvU0453vJJ16w/9r2whThpsS4UGn5zYkNloBfr5erAYAUB4CDs4Zb/gAgPMVh6gAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDp1EjAWbBggZo3b66AgADFxcVp06ZN5fZ/6623FBMTo4CAAHXo0EEfffSRy3rDMDRz5kxFRkaqbt26io+P148//ujJKQAAgAtIHU8/wRtvvKGkpCQtXLhQcXFxmj9/vhISEpSZmamwsLBS/b/44gvdfPPNSklJ0d/+9jctW7ZMgwYN0pYtW9S+fXtJ0iOPPKKnnnpKr7zyilq0aKH77rtPCQkJ+v777xUQEFDp2o4XFqtOYXG1zfX4GWMdr8ZxK+NEoV0ni+w1+pwFZzxfQQ0/tzfUtvkCwLk6UWj3yPtgVca0GIZhVHsFZ4iLi9Pll1+uZ555RpLkcDgUHR2tSZMmacaMGaX6Dx06VPn5+frggw+cbVdccYU6d+6shQsXyjAMRUVFaerUqZo2bZokKS8vT+Hh4VqyZImGDRtWasyCggIVFBQ4l202m6KjoxU9+U35WAOre8oAAMADHAXHtW/+TcrLy1NQUFC5fT16iKqwsFAZGRmKj48//YQ+PoqPj1d6errbbdLT0136S1JCQoKz/549e5SVleXSJzg4WHFxcWWOmZKSouDgYOcjOjr6z04NAACcxzx6iOrQoUOy2+0KDw93aQ8PD9fOnTvdbpOVleW2f1ZWlnN9SVtZfc6WnJyspKQk53LJHpxN/+xXYQK8UOTmFykz+6i3y4CJFBTZdcfSLZKkhcP/Iqufr5cr8izmy3zNxNvzjQwOUNPG1X+ExGazKXJ+5fp6/Byc84HVapXVai3VHuhfR4H+5ngJCoocCjD5HyxqVpbtpPP7ld/+pvi24YoMruvFimqO1c+3Vv09MV9z88Z86/r7euT9tbgKY3r0EFWTJk3k6+ur7Oxsl/bs7GxFRES43SYiIqLc/iVfqzImgKpZl5mje1d851xO3ZalqW99o/U/5HixKgCoPI8GHH9/f8XGxmr16tXONofDodWrV6t79+5ut+nevbtLf0lKS0tz9m/RooUiIiJc+thsNm3cuLHMMQFU3oG8E3rhfz/pzMsPHIZkGNLzG35SVt7Jsje+gJ25x+qtjH06kHfCi9UA+LM8fh+cpKQkvfjii3rllVe0Y8cOjR8/Xvn5+RozZowkaeTIkUpOTnb2v/vuu5WamqrHH39cO3fu1P3336+vvvpKEydOlCRZLBZNnjxZ8+bN08qVK/Xdd99p5MiRioqK0qBBgzw9HcD01mUelKWMdRZJazPNtxeHPVaA+Xj8BJShQ4fq4MGDmjlzprKystS5c2elpqY6TxLeu3evfHxO56wePXpo2bJl+te//qV7771Xl1xyid59913nPXAkafr06crPz9e4ceOUm5urnj17KjU1tUr3wAHg3sFjBSrr3hHGH+vNpKw9VtKpPVZtwoMUEcy/LcCFpkbOsJ04caJzD8zZ1q1bV6ptyJAhGjJkSJnjWSwWzZkzR3PmzKmuEgH8IbS+VRbJbcix/LHeTEr2WJU137WZObq5W9MargrAn8VnUQFw0adNaLl7cPq2KX0H8gtZbdtjBdQWBBwALiKD6+r2Xi1lsUg+Frl8vb1XS9MdrinZY+WOGfdYAbWFOW4CA6Ba9b40TG3Cg7Q2M0cHjxUotL5VfduEmS7cSKf2WL3/7W9u15lxjxVQWxBwALgVERxQK849Kdlj9fyGn5zn4pR8NeMeK6C2IOAAqPVq0x4roLYg4ACAas8eK6C24CRjAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAKiFsmwnnd+/lbFPB/JOeLEaoPoRcACgllmXmaN7V3znXE7dlqWpb32j9T/keLEqoHoRcACgFjmQd0Iv/O8nGcbpNochGYb0/IaflJV3suyNgQsIAQcAapF1mQdlKWOdRdLaTPbiwBwIOABQixw8ViCjjHXGH+sBMyDgAEAtElrfWu4enND61posB/AYAg4A1CJ92oSWuwenb5uwmiwH8BgCDgDUIpHBdXV7r5ayWCQfi1y+3t6rpSKCA7xdIlAt6ni7AABAzep9aZjahAdpbWaODh4rUGh9q/q2CSPcmMjZ9zmKbxuuyOC6Xqyo5hFwAKAWiggO0M3dmnq7DHjAuswcvfC/n5zLqduy9PG2LN3eq6V6X1p7DkFyiAoAAJPgPkenEXAAADAJ7nN0GgEHAACT4D5HpxFwAAAwCe5zdJpHA86RI0c0fPhwBQUFqWHDhrr11lt17NixcvtPmjRJbdq0Ud26ddW0aVPdddddysvLc+lnsVhKPZYvX+7JqQAAcN7jPkeneTTgDB8+XNu3b1daWpo++OADbdiwQePGjSuz/2+//abffvtNjz32mLZt26YlS5YoNTVVt956a6m+ixcv1oEDB5yPQYMGeXAmAACc/7jP0Wkeu0x8x44dSk1N1ebNm9W1a1dJ0tNPP61rrrlGjz32mKKiokpt0759e7399tvO5VatWumBBx7QiBEjVFxcrDp1TpfbsGFDRUREeKp8AAAuSNzn6BSP7cFJT09Xw4YNneFGkuLj4+Xj46ONGzdWepy8vDwFBQW5hBtJmjBhgpo0aaJu3bpp0aJFMoyydspJBQUFstlsLg8AAMyq5D5Hd119iW7u1rTWhRvJg3twsrKyFBbmeqyvTp06atSokbKysio1xqFDhzR37txSh7XmzJmjq6++WoGBgVq1apXuvPNOHTt2THfddZfbcVJSUjR79uxzmwgAALjgVHkPzowZM9ye5HvmY+fOnX+6MJvNpoEDB6pdu3a6//77Xdbdd999uvLKK9WlSxfdc889mj59uh599NEyx0pOTlZeXp7zsW/fvj9dHwAAOH9VeQ/O1KlTNXr06HL7tGzZUhEREcrJcb2hUHFxsY4cOVLhuTNHjx5VYmKiGjRooBUrVsjPz6/c/nFxcZo7d64KCgpktZa+BM5qtbptBwAA5lTlgBMaGqrQ0NAK+3Xv3l25ubnKyMhQbGysJGnNmjVyOByKi4srczubzaaEhARZrVatXLlSAQEVHzfcunWrQkJCCDEAAECSB8/Badu2rRITEzV27FgtXLhQRUVFmjhxooYNG+a8gmr//v3q16+fXn31VXXr1k02m039+/fX8ePH9dprr7mcEBwaGipfX1+9//77ys7O1hVXXKGAgAClpaXpwQcf1LRp0zw1FQAAcIHx6KeJL126VBMnTlS/fv3k4+OjwYMH66mnnnKuLyoqUmZmpo4fPy5J2rJli/MKq9atW7uMtWfPHjVv3lx+fn5asGCBpkyZIsMw1Lp1az3xxBMaO3asJ6cCAAAuIB4NOI0aNdKyZcvKXN+8eXOXy7v79OlT7uXekpSYmKjExMRqqxEAAJgPn0UFADC9LNtJ5/dvZezTgbwTXqwGNYGAAwAwtXWZObp3xXfO5dRtWZr61jda/0NOOVvhQkfAAQCY1oG8E3rhfz/pzLMfHIZkGNLzG35SVt7JsjfGBY2AAwAwrXWZB2UpY51F0tpM9uKYFQEHAGBaB48VqKxLV4w/1sOcCDgAANMKrW8tdw9OaH1uEGtWBBwAgGn1aRNa7h6cvm3CyliLCx0BBwBgWpHBdXV7r5ayWCQfi1y+3t6rpSKCK/44IFyYPHqjPwAAvK33pWFqEx6ktZk5OnisQKH1rerbJoxwY3IEHACA6UUEB+jmbk29XQZqEIeoAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6Xg04Bw5ckTDhw9XUFCQGjZsqFtvvVXHjh0rd5s+ffrIYrG4PO644w6XPnv37tXAgQMVGBiosLAw/eMf/1BxcbEnpwIAAC4gdTw5+PDhw3XgwAGlpaWpqKhIY8aM0bhx47Rs2bJytxs7dqzmzJnjXA4MDHR+b7fbNXDgQEVEROiLL77QgQMHNHLkSPn5+enBBx/02FwAAMCFw2MBZ8eOHUpNTdXmzZvVtWtXSdLTTz+ta665Ro899piioqLK3DYwMFARERFu161atUrff/+9Pv30U4WHh6tz586aO3eu7rnnHt1///3y9/f3yHwAAMCFw2OHqNLT09WwYUNnuJGk+Ph4+fj4aOPGjeVuu3TpUjVp0kTt27dXcnKyjh8/7jJuhw4dFB4e7mxLSEiQzWbT9u3b3Y5XUFAgm83m8gAAAOblsT04WVlZCgsLc32yOnXUqFEjZWVllbnd//3f/6lZs2aKiorSt99+q3vuuUeZmZl65513nOOeGW4kOZfLGjclJUWzZ8/+M9MBAAAXkCoHnBkzZujhhx8ut8+OHTvOuaBx48Y5v+/QoYMiIyPVr18/7d69W61atTqnMZOTk5WUlORcttlsio6OPucaAQDA+a3KAWfq1KkaPXp0uX1atmypiIgI5eTkuLQXFxfryJEjZZ5f405cXJwkadeuXWrVqpUiIiK0adMmlz7Z2dmSVOa4VqtVVqu10s8JAAAubFUOOKGhoQoNDa2wX/fu3ZWbm6uMjAzFxsZKktasWSOHw+EMLZWxdetWSVJkZKRz3AceeEA5OTnOQ2BpaWkKCgpSu3btqjgbAABgRh47ybht27ZKTEzU2LFjtWnTJn3++eeaOHGihg0b5ryCav/+/YqJiXHukdm9e7fmzp2rjIwM/fzzz1q5cqVGjhypXr16qWPHjpKk/v37q127dvp//+//6ZtvvtEnn3yif/3rX5owYQJ7aQAAgCQP3+hv6dKliomJUb9+/XTNNdeoZ8+eeuGFF5zri4qKlJmZ6bxKyt/fX59++qn69++vmJgYTZ06VYMHD9b777/v3MbX11cffPCBfH191b17d40YMUIjR450uW8OAACo3SyGYRjeLqKm2Ww2BQcHKy8vT0FBQd4up1r8nl+onVlHvV0GAACKahigZo3rVfu4VXn/5rOoAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6dTxdgGoHgF+vooMDpAhyWEYMgxDhiE5jFPLjj+WjTOXJRmGIccZ7Ybh7ZkAAPDnEXBMoq6/r5o3qfenxzkdeAxnODIMydBZy2evP3NZksNhnA5NInQBAGoWAQcuLBaLfC2SZPF2KU7nW+iyO0hcAHC+I+DgvHc+hi6Hw5DdMGT/IzSd/v7UV/sfQcnuKKPPmds6+xuyO9hrBQDVgYADnAMfH4t8ZJGfr2fGryhAlexxOvW9IYfjVJ9T35/a1uE4qw8BCkAtQsABzkM1FaDchqOzAtTZWcioIB392fBU3valq6nac1dUmru5lZ5/xSO761OZcc6en9s+Z7W5e00qfB3OWG/IUPEfP/diO8kX5kHAAWqhkgAFnMkwzgg7DkN2u6Fih+P0svOrQ8V/BKKStmK7Q5yehvOJRwPOkSNHNGnSJL3//vvy8fHR4MGD9eSTT6p+/fpu+//8889q0aKF23VvvvmmhgwZIunUORlne/311zVs2LDqKx4AahmLxSI/33Pfc+hwCUJugpGbwFRkP73MoVNUJ48GnOHDh+vAgQNKS0tTUVGRxowZo3HjxmnZsmVu+0dHR+vAgQMubS+88IIeffRRDRgwwKV98eLFSkxMdC43bNiw2usHAFSej49F/j4l/wGtekoqFYzsZQemM4PRmSfzAyU8FnB27Nih1NRUbd68WV27dpUkPf3007rmmmv02GOPKSoqqtQ2vr6+ioiIcGlbsWKFbrrpplJ7fRo2bFiqLwDgwuXrY5Gvz7mfeFZsd5x1KO2MYGQ/vXyyyKGCYoeK7A5CkYl5LOCkp6erYcOGznAjSfHx8fLx8dHGjRt1ww03VDhGRkaGtm7dqgULFpRaN2HCBN12221q2bKl7rjjDo0ZM8btoStJKigoUEFBgXPZZrOdw4wAAOezOr4+qlOFfGQYhgqKHSoocqjAbj/1tdihgmK7CoodKiwmAF3IPBZwsrKyFBYW5vpkdeqoUaNGysrKqtQYL7/8stq2basePXq4tM+ZM0dXX321AgMDtWrVKt155506duyY7rrrLrfjpKSkaPbs2ec2EQCAKVksFgX4+SrAz1eSX6n1zgBUEnoIQBeUKgecGTNm6OGHHy63z44dO865oBInTpzQsmXLdN9995Vad2Zbly5dlJ+fr0cffbTMgJOcnKykpCTnss1mU3R09J+uEQBgXpUJQIV2x+m9QH8En5LvC4u5ssybqhxwpk6dqtGjR5fbp2XLloqIiFBOTo5Le3FxsY4cOVKpc2f++9//6vjx4xo5cmSFfePi4jR37lwVFBTIarWWWm+1Wt22AwBwriwWi6x1fGWt4ysFuO9zZugptDtUUGQ/vVeoyE4A8qAqB5zQ0FCFhoZW2K979+7Kzc1VRkaGYmNjJUlr1qyRw+FQXFxchdu//PLLuu666yr1XFu3blVISAghBgBwXqkoABWeccirJPSUfF9Y7OCz7/4Ej52D07ZtWyUmJmrs2LFauHChioqKNHHiRA0bNsx5BdX+/fvVr18/vfrqq+rWrZtz2127dmnDhg366KOPSo37/vvvKzs7W1dccYUCAgKUlpamBx98UNOmTfPUVAAA8Aj/Oj7yr+OjBmWsL7KXDj5nng9EACqbR++Ds3TpUk2cOFH9+vVz3ujvqaeecq4vKipSZmamjh8/7rLdokWLdPHFF6t///6lxvTz89OCBQs0ZcoUGYah1q1b64knntDYsWM9ORUAAGqcn6+P/Hx9VN/q/u36zAB06hCY64nQtfnjNyxGRR8sY0I2m03BwcHKy8tTUFCQt8sBAMAjiksCkJsrwQqLHSryUACKahigZo3rVfu4VXn/5rOoAAAwqVP3BvJRvTJOUbU7DLeXwJdcCeapAFQTCDgAANRSvj4WBfrXUaC/+/VnBqDTh8DsZ+wFOn8DEAEHAAC4VVEAcjgMt3t+As71E1urEQEHAACcEx8fi+r6+6quv/cDzdl8vF0AAABAdSPgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0/FYwHnggQfUo0cPBQYGqmHDhpXaxjAMzZw5U5GRkapbt67i4+P1448/uvQ5cuSIhg8frqCgIDVs2FC33nqrjh075oEZAACAC5XHAk5hYaGGDBmi8ePHV3qbRx55RE899ZQWLlyojRs3ql69ekpISNDJkyedfYYPH67t27crLS1NH3zwgTZs2KBx48Z5YgoAAOACZTEMw/DkEyxZskSTJ09Wbm5uuf0Mw1BUVJSmTp2qadOmSZLy8vIUHh6uJUuWaNiwYdqxY4fatWunzZs3q2vXrpKk1NRUXXPNNfr1118VFRVVqZpsNpuCg4OVl5enoKCgPzU/AABQM6ry/l2nhmqq0J49e5SVlaX4+HhnW3BwsOLi4pSenq5hw4YpPT1dDRs2dIYbSYqPj5ePj482btyoG264we3YBQUFKigocC7n5eVJOvVCAQCAC0PJ+3Zl9s2cNwEnKytLkhQeHu7SHh4e7lyXlZWlsLAwl/V16tRRo0aNnH3cSUlJ0ezZs0u1R0dH/9myAQBADTt69KiCg4PL7VOlgDNjxgw9/PDD5fbZsWOHYmJiqjKsxyUnJyspKcm57HA4dOTIETVu3FgWi6Van8tmsyk6Olr79u2rFYe/mK+5MV9zY77mZsb5Goaho0ePVuqUlCoFnKlTp2r06NHl9mnZsmVVhnSKiIiQJGVnZysyMtLZnp2drc6dOzv75OTkuGxXXFysI0eOOLd3x2q1ymq1urRV9squcxUUFGSaX6jKYL7mxnzNjfmam9nmW9GemxJVCjihoaEKDQ09p4Iq0qJFC0VERGj16tXOQGOz2bRx40bnlVjdu3dXbm6uMjIyFBsbK0las2aNHA6H4uLiPFIXAAC48HjsMvG9e/dq69at2rt3r+x2u7Zu3aqtW7e63LMmJiZGK1askCRZLBZNnjxZ8+bN08qVK/Xdd99p5MiRioqK0qBBgyRJbdu2VWJiosaOHatNmzbp888/18SJEzVs2LBKX0EFAADMz2MnGc+cOVOvvPKKc7lLly6SpLVr16pPnz6SpMzMTOcVTZI0ffp05efna9y4ccrNzVXPnj2VmpqqgIAAZ5+lS5dq4sSJ6tevn3x8fDR48GA99dRTnppGlVmtVs2aNavUITGzYr7mxnzNjfmaW22b79k8fh8cAACAmsZnUQEAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4FSjBQsWqHnz5goICFBcXJw2bdrk7ZI8ZsOGDbr22msVFRUli8Wid99919sleVRKSoouv/xyNWjQQGFhYRo0aJAyMzO9XZbHPPfcc+rYsaPzDqjdu3fXxx9/7O2yasRDDz3kvC+XWd1///2yWCwuj/PtI3aq2/79+zVixAg1btxYdevWVYcOHfTVV195uyyPaN68eamfr8Vi0YQJE7xdWo0i4FSTN954Q0lJSZo1a5a2bNmiTp06KSEhodRHS5hFfn6+OnXqpAULFni7lBqxfv16TZgwQV9++aXS0tJUVFSk/v37Kz8/39ulecTFF1+shx56SBkZGfrqq6909dVX6/rrr9f27du9XZpHbd68Wc8//7w6duzo7VI87rLLLtOBAwecj88++8zbJXnM77//riuvvFJ+fn76+OOP9f333+vxxx9XSEiIt0vziM2bN7v8bNPS0iRJQ4YM8XJlNcxAtejWrZsxYcIE57LdbjeioqKMlJQUL1ZVMyQZK1as8HYZNSonJ8eQZKxfv97bpdSYkJAQ46WXXvJ2GR5z9OhR45JLLjHS0tKM3r17G3fffbe3S/KYWbNmGZ06dfJ2GTXmnnvuMXr27OntMrzm7rvvNlq1amU4HA5vl1Kj2INTDQoLC5WRkaH4+Hhnm4+Pj+Lj45Wenu7FyuApJXfgbtSokZcr8Ty73a7ly5crPz9f3bt393Y5HjNhwgQNHDjQ5e/YzH788UdFRUWpZcuWGj58uPbu3evtkjxm5cqV6tq1q4YMGaKwsDB16dJFL774orfLqhGFhYV67bXXdMstt8hisXi7nBpFwKkGhw4dkt1uV3h4uEt7eHi4srKyvFQVPMXhcGjy5Mm68sor1b59e2+X4zHfffed6tevL6vVqjvuuEMrVqxQu3btvF2WRyxfvlxbtmxRSkqKt0upEXFxcVqyZIlSU1P13HPPac+ePbrqqqt09OhRb5fmET/99JOee+45XXLJJfrkk080fvx43XXXXS4fJ2RW7777rnJzczV69Ghvl1LjPPZZVIBZTZgwQdu2bTP1OQuS1KZNG23dulV5eXn673//q1GjRmn9+vWmCzn79u3T3XffrbS0NJfPvTOzAQMGOL/v2LGj4uLi1KxZM7355pu69dZbvViZZzgcDnXt2lUPPvigpFOfjbht2zYtXLhQo0aN8nJ1nvXyyy9rwIABtfIDqdmDUw2aNGkiX19fZWdnu7RnZ2crIiLCS1XBEyZOnKgPPvhAa9eu1cUXX+ztcjzK399frVu3VmxsrFJSUtSpUyc9+eST3i6r2mVkZCgnJ0d/+ctfVKdOHdWpU0fr16/XU089pTp16shut3u7RI9r2LChLr30Uu3atcvbpXhEZGRkqWDetm1bUx+Wk6RffvlFn376qW677TZvl+IVBJxq4O/vr9jYWK1evdrZ5nA4tHr1alOfs1CbGIahiRMnasWKFVqzZo1atGjh7ZJqnMPhUEFBgbfLqHb9+vXTd999p61btzofXbt21fDhw7V161b5+vp6u0SPO3bsmHbv3q3IyEhvl+IRV155ZanbOvzwww9q1qyZlyqqGYsXL1ZYWJgGDhzo7VK8gkNU1SQpKUmjRo1S165d1a1bN82fP1/5+fkaM2aMt0vziGPHjrn8b2/Pnj3aunWrGjVqpKZNm3qxMs+YMGGCli1bpvfee08NGjRwnlsVHBysunXrerm66pecnKwBAwaoadOmOnr0qJYtW6Z169bpk08+8XZp1a5BgwalzqWqV6+eGjdubNpzrKZNm6Zrr71WzZo102+//aZZs2bJ19dXN998s7dL84gpU6aoR48eevDBB3XTTTdp06ZNeuGFF/TCCy94uzSPcTgcWrx4sUaNGqU6dWrpW723L+Myk6efftpo2rSp4e/vb3Tr1s348ssvvV2Sx6xdu9aQVOoxatQob5fmEe7mKslYvHixt0vziFtuucVo1qyZ4e/vb4SGhhr9+vUzVq1a5e2yaozZLxMfOnSoERkZafj7+xsXXXSRMXToUGPXrl3eLsuj3n//faN9+/aG1Wo1YmJijBdeeMHbJXnUJ598YkgyMjMzvV2K11gMwzC8E60AAAA8g3NwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6fx/iIDxsxOClKgAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"22\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"23\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"24\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"25\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"26\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"27\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"28\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"29\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"30\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"31\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"32\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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o7n1yZ/HixcrIyNAVV1yh22+/XX5+fnr22WdVWlqqhx9++Bfta13dfPPNevDBB3XzzTerb9++2rp1q9sP5tqqzc9bOvl+LVu2TIsXL1aXLl0UFRVVZYRGOjny9tBDD2nSpEkaOHCgbrzxRudp4h06dNDMmTPPu9azXXvttVq0aJG2bNniPORU17+t8PBwrV+/XldffbX69OnjciXjXbt26V//+td5hZTc3Fx9/vnnmjZt2vnvIMzLOydvAZ53zTXXGIGBgUZRUVG1bSZOnGj4+/sbx44dMwzDMI4ePWqMHDnSCA4ONsLDw41bbrnF2LNnT5XThisqKow77rjDiIyMNCwWi8up0AUFBcbMmTONuLg4w9/f37jwwguNRx55xOV04EorV640LrnkEsNqtRrh4eHGwIEDnafcVnr66aeNhIQEw9/f34iOjjZuu+024+eff3ZpM3DgQOPiiy+u0n/lKc+PPPKI2/3/9ttvjfHjxxsxMTGGv7+/0bZtW+N3v/ud8e9//9vZxt1p4l999ZWRnJxstGzZ0oiIiDCmTJlifPbZZ3V6n3TWKdeGYRi7du0yUlJSjJYtWxrBwcHGVVddZXz88ccubSpPE9+xY4fL8upO8z9b5andR48erbZNcXGxMXnyZCM0NNRo1aqVccMNNxi5ubnVniZ+dl+VNe7fv99l+bl+3tnZ2cbw4cONVq1aGZKcp4xXt28vvviis7/WrVsbY8eONX744QeXNhMmTDBatGhR7ftQG7169TImT57sfH4+f1uGcfK0/5kzZxoXXXSRERgYaAQHBxuJiYnG/fffb+Tn5zvbVff7fLZly5YZwcHBhs1mq9V+oHmxGEYjmQUHAGiU/vGPf2jatGk6ePCgywUEve2SSy7RoEGDXC6gCVRiDg4AoEZjx45Vu3bt3E4o9pb09HR98803mjt3rrdLQSPFCA4AADAdRnAAAIDpeDTgbN26Vddcc43i4uJksVhqdUO0zZs361e/+pWsVqu6dOni9o6+S5cuVYcOHRQYGKikpCRt3769/osHAABNlkcDTlFRkXr37l3r47b79+/X8OHDddVVV2n37t2aMWOGbr75Zr333nvONi+++KJSU1M1f/587dq1S71791ZKSorbU3kBAEDz1GBzcCwWi9avX68RI0ZU2+aee+7R22+/rT179jiXjRkzRnl5eUpPT5d08j4nl156qfNCag6HQ/Hx8brjjjs0Z84cj+4DAABoGhrVhf4yMzOrXDY+JSVFM2bMkHTyEvU7d+50mTXv4+Oj5ORkZWZmVttvaWmpy1U4HQ6Hjh8/rjZt2nCDNgAAmgjDMFRQUKC4uDj5+NR8EKpRBZzs7GxFR0e7LIuOjpbNZtOJEyf0888/y263u21Tea8fd9LS0rRgwQKP1AwAABrWoUOHdMEFF9TYplEFHE+ZO3euUlNTnc/z8/PVrl07HTp0qF7ub/PXjP9p9ccHZHdUPdrn62PRxMs6aOZvL/rFrwMAQHNms9kUHx/vcjPj6jSqgBMTE6OcnByXZTk5OQoJCVFQUJB8fX3l6+vrtk1MTEy1/VqtVlmt1irLQ0JC6iXgjB/YTS98kiMfN7OZLBZpwsBuCglp8YtfBwAAqFbTSxrVdXD69++vDRs2uCzLyMhw3oQtICBAiYmJLm0cDoc2bNjg1bvJdoxooYdG9pLPGe+3r8UiH4v00Mhe6hBBuAEAoCF5dASnsLBQ+/btcz7fv3+/du/erdatW6tdu3aaO3euDh8+rL///e+SpFtvvVVPP/207r77bt10003auHGjXnrpJb399tvOPlJTUzVhwgT17dtX/fr105IlS1RUVKRJkyZ5clfOaVTfePVoG6JhT3woSZp0RQeNS2pPuAEAwAs8GnA++eQTXXXVVc7nlfNgJkyYoNWrV+vIkSM6ePCgc33Hjh319ttva+bMmXriiSd0wQUX6Pnnn1dKSoqzzejRo3X06FHNmzdP2dnZ6tOnj9LT06tMPPaG9m1Oh5nU316k4IBGdQQQAIBmo1nei8pmsyk0NFT5+fn1MgenUnFZhbrPO3lRwq8WphBwAACoR3X5/OYTGADQbJTbHXL333pDVRfW9r//1bWrbZ/uNnc39uC+XXVFebeeoABftbR6N2IQcAAAplFaYVdphUOl5Y4q35dVOOTmah7wgLiwQAIOAAC1RYBBbRFwAACNBgEG9YWAAwBoMAQYNBQCDgCgXhiGoTK7gwCDRoGAAwCoFQIMmhICDgBAEgEG5kLAAYBmpqTcrhNldp0oP/kgwMCMCDgAYFKVQaa4MtCcCjV2UgyaAQIOADRxBBmgKgIOADQBhmGotMKh4spDS2UVOlHmIMgA1SDgAEAj4i7IFJ8alSHHALVHwAEALzAMQyXlJ0dgissqVFJuJ8gA9YiAAwAedHaQcZ69RJABPIqAAwD1oDLIFJdVOANMcZldJeUEGcAbCDgAUAdnBpnKAEOQARofAg4AuGEYhstIzIkzLo5nEGSARo+AA6DZqjxjqfJKviXlDpVUnB6RIcgATRcBB4CpVdgdKqlwqLTcfvrrGfdZIsQA5kTAAdCknTkKU1Jhr/K1wk6CAZojAg6ARq/81B2uS8rtp7+eCjBljMIAcIOAA8DrKkdhXALMGV8ZhQFQVwQcAA2i3F59gGEUBkB9I+AAqBcOx6m5MBWnJ/Ge+ZUbQgJoSAQcALVWVkOAKbczCgOg8SDgAE2cYRhyGKe/Ok6lDMdZyw3DkGGcsVynn5/59XQbQ4akCrvhPJTEKAyApoKAA9SBYRiqcBjVhgHDIef3lctlyBk8DJ08lGOcChgOl2BxOng4HOcIKpX9SIyaAIAbBBygBnaHocKSCtlKylVQUqHC0gpGMQCgCSDgAGcotztUUFKhgjMCDSMkAND0EHDQrJWU210CTXGZ3dslAQDqAQEHzcqJMvupw03lspVUqLTc4e2SAAAeQMCBaRmGocLSilMjNCdHacq5Ii4ANAsEHJgGE4IBAJUIOGiymBAMAKiOT0O8yNKlS9WhQwcFBgYqKSlJ27dvr7btoEGDZLFYqjyGDx/ubDNx4sQq64cOHdoQuwIvKq2w62hBqb47WqjPDuXpkwM/Kyu7QD/mlaighHADADjN4yM4L774olJTU7V8+XIlJSVpyZIlSklJUVZWlqKioqq0f/XVV1VWVuZ8/tNPP6l3794aNWqUS7uhQ4dq1apVzudWq9VzOwGvYEIwAOB8eTzgPP7445oyZYomTZokSVq+fLnefvttrVy5UnPmzKnSvnXr1i7P161bp+Dg4CoBx2q1KiYmxnOFo0EZhqGiMrtsJ8qZEAwA+MU8GnDKysq0c+dOzZ0717nMx8dHycnJyszMrFUfK1as0JgxY9SiRQuX5Zs3b1ZUVJTCw8P1m9/8RosXL1abNm3c9lFaWqrS0lLnc5vNdh57g/rkcBgqKK1wBhomBAMA6pNHA86xY8dkt9sVHR3tsjw6Olpff/31Obffvn279uzZoxUrVrgsHzp0qP7whz+oY8eO+vbbb/WnP/1Jw4YNU2Zmpnx9fav0k5aWpgULFvyyncEvUnFqQrCNCcEAgAbQqM+iWrFihXr27Kl+/fq5LB8zZozz+549e6pXr17q3LmzNm/erMGDB1fpZ+7cuUpNTXU+t9lsio+P91zhUGnFySsEV47QcIVgAEBD8mjAiYiIkK+vr3JyclyW5+TknHP+TFFRkdatW6eFCxee83U6deqkiIgI7du3z23AsVqtTEL2sBNl9lOTgZkQDADwPo+eJh4QEKDExERt2LDBuczhcGjDhg3q379/jdu+/PLLKi0t1bhx4875Oj/88IN++uknxcbG/uKacW6VVwg+kn9CWdkF+uTAce0+lKdvjxbpaEEZ4QYA4HUeP0SVmpqqCRMmqG/fvurXr5+WLFmioqIi51lV48ePV9u2bZWWluay3YoVKzRixIgqE4cLCwu1YMECjRw5UjExMfr222919913q0uXLkpJSfH07jRLlROCC0rKZTvBhGAAQOPn8YAzevRoHT16VPPmzVN2drb69Omj9PR058TjgwcPysfHdSApKytLH374od5///0q/fn6+urzzz/XCy+8oLy8PMXFxWnIkCFatGgRh6HqSYXzCsEnJwUXlVaIPAMAaEoshtH8zmWx2WwKDQ1Vfn6+QkJC6q3f4rIKdZ/3niTpq4UpCg5o1HO4nSonBFdOCmZCMADgl4gLC1T7Ni3O3bCO6vL53TQ+gVGvTk8IPjlCw5wZAIDZEHBMrvIKwZU3pCwoKVdZRbMbtAMANDMEHJM5c0Jw5WEnJgQDAJobAo5JFJVWaP+xIiYEAwAgAo5plFWcPPMJAAB4+EJ/AAAA3kDAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAAptMgAWfp0qXq0KGDAgMDlZSUpO3bt1fbdvXq1bJYLC6PwMBAlzaGYWjevHmKjY1VUFCQkpOT9c0333h6NwAAQBPh8YDz4osvKjU1VfPnz9euXbvUu3dvpaSkKDc3t9ptQkJCdOTIEefj+++/d1n/8MMP68knn9Ty5cu1bds2tWjRQikpKSopKfH07gAAgCbA4wHn8ccf15QpUzRp0iR1795dy5cvV3BwsFauXFntNhaLRTExMc5HdHS0c51hGFqyZIn+8pe/6Nprr1WvXr3097//XT/++KNee+01T+8OAABoAjwacMrKyrRz504lJyeffkEfHyUnJyszM7Pa7QoLC9W+fXvFx8fr2muv1Zdffulct3//fmVnZ7v0GRoaqqSkpGr7LC0tlc1mc3kAAADz8mjAOXbsmOx2u8sIjCRFR0crOzvb7TZdu3bVypUr9frrr+uf//ynHA6HLrvsMv3www+S5NyuLn2mpaUpNDTU+YiPj/+luwYAABqxRncWVf/+/TV+/Hj16dNHAwcO1KuvvqrIyEg9++yz593n3LlzlZ+f73wcOnSoHisGAACNjUcDTkREhHx9fZWTk+OyPCcnRzExMbXqw9/fX5dccon27dsnSc7t6tKn1WpVSEiIywMAAJiXRwNOQECAEhMTtWHDBucyh8OhDRs2qH///rXqw26364svvlBsbKwkqWPHjoqJiXHp02azadu2bbXuEwAAmJufp18gNTVVEyZMUN++fdWvXz8tWbJERUVFmjRpkiRp/Pjxatu2rdLS0iRJCxcu1K9//Wt16dJFeXl5euSRR/T999/r5ptvlnTyDKsZM2Zo8eLFuvDCC9WxY0fde++9iouL04gRIzy9OwAAoAnweMAZPXq0jh49qnnz5ik7O1t9+vRRenq6c5LwwYMH5eNzeiDp559/1pQpU5Sdna3w8HAlJibq448/Vvfu3Z1t7r77bhUVFWnq1KnKy8vTFVdcofT09CoXBAQAAM2TxTAMw9tFNDSbzabQ0FDl5+fX63yc4rIKdZ/3niTpq4UpCg7weH50+rmoTF9nFzTY6wEAUJ24sEC1b9Oi3vuty+d3ozuLCgAA4Jci4AAAANMh4AAAANNpuEkiMJ0j+Se0OeuojhaWKrKlVYO6Rio2NMjbZQEAQMDB+dmclavn/vOdLJIMSRZJb37+o24Z0EkDL4rycnUAgOaOQ1SosyP5J/Tcf76TYUgOQy5fn936nbLzS7xdIgCgmSPgoM42Zx2VpZp1FkmbsnIbshwAAKog4KDOjhaWqrqLJxmn1gMA4E0EHNRZZEtrjSM4kS2tDVkOAABVEHBQZ4O6RtY4gnNVVyYZAwC8i4CDOosNDdItAzrJcsYwjo9FslikWwZ0Ukwo9wQDAHgXp4njvAy8KEod2rTQnFe/kCQN7RGj33aLIdwAABoFAg7OW3TI6TAzKjFegf6+XqwGAIDTOEQFAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMh4ADAABMp0ECztKlS9WhQwcFBgYqKSlJ27dvr7bt3/72N1155ZUKDw9XeHi4kpOTq7SfOHGiLBaLy2Po0KGe3g0AANBEeDzgvPjii0pNTdX8+fO1a9cu9e7dWykpKcrNzXXbfvPmzbrxxhu1adMmZWZmKj4+XkOGDNHhw4dd2g0dOlRHjhxxPv71r395elcAAEAT4fGA8/jjj2vKlCmaNGmSunfvruXLlys4OFgrV650237NmjW6/fbb1adPHyUkJOj555+Xw+HQhg0bXNpZrVbFxMQ4H+Hh4Z7eFQAA0ER4NOCUlZVp586dSk5OPv2CPj5KTk5WZmZmrfooLi5WeXm5Wrdu7bJ88+bNioqKUteuXXXbbbfpp59+qraP0tJS2Ww2lwcAADAvjwacY8eOyW63Kzo62mV5dHS0srOza9XHPffco7i4OJeQNHToUP3973/Xhg0b9NBDD2nLli0aNmyY7Ha72z7S0tIUGhrqfMTHx5//TgEAgEbPz9sF1OTBBx/UunXrtHnzZgUGBjqXjxkzxvl9z5491atXL3Xu3FmbN2/W4MGDq/Qzd+5cpaamOp/bbDZCDgAAJubREZyIiAj5+voqJyfHZXlOTo5iYmJq3PbRRx/Vgw8+qPfff1+9evWqsW2nTp0UERGhffv2uV1vtVoVEhLi8gAAAObl0YATEBCgxMRElwnClROG+/fvX+12Dz/8sBYtWqT09HT17dv3nK/zww8/6KefflJsbGy91A0AAJo2j59FlZqaqr/97W964YUXtHfvXt12220qKirSpEmTJEnjx4/X3Llzne0feugh3XvvvVq5cqU6dOig7OxsZWdnq7CwUJJUWFioP/7xj/rvf/+rAwcOaMOGDbr22mvVpUsXpaSkeHp3AABAE+DxOTijR4/W0aNHNW/ePGVnZ6tPnz5KT093Tjw+ePCgfHxO56xly5aprKxM119/vUs/8+fP13333SdfX199/vnneuGFF5SXl6e4uDgNGTJEixYtktVq9fTuAACAJqBBJhlPnz5d06dPd7tu8+bNLs8PHDhQY19BQUF677336qkyAABgRtyLCgAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmE6D3E0cAAA0nCP5J7Q566iOFpYqsqVVg7pGKjY0yNtlNSgCDgAAJrI5K1fP/ec7WSQZkiyS3vz8R90yoJMGXhTl5eoaDoeoAAAwiSP5J/Tcf76TYUgOQy5fn936nbLzS7xdYoMh4AAAYBKbs47KUs06i6RNWbkNWY5XEXAAADCJo4WlMqpZZ5xa31wQcAAAMInIltYaR3AiW1obshyvIuAAAGASg7pG1jiCc1VXJhkDAIAmJjY0SLcM6CTLGcM4PhbJYpFuGdBJMaGB3iuugXGaOAAAJjLwoih1aNNCc179QpI0tEeMftstplmFG4mAAwCA6USHnA4zoxLjFejv68VqvINDVAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQaJOAsXbpUHTp0UGBgoJKSkrR9+/Ya27/88stKSEhQYGCgevbsqXfeecdlvWEYmjdvnmJjYxUUFKTk5GR98803ntwFAADQhPh5+gVefPFFpaamavny5UpKStKSJUuUkpKirKwsRUVFVWn/8ccf68Ybb1RaWpp+97vfae3atRoxYoR27dqlHj16SJIefvhhPfnkk3rhhRfUsWNH3XvvvUpJSdFXX32lwMDAKn1Wp7isQn5lFfW2r8Vn9FVcj/3Wxokyu0rK7Q36mqVnvF5pA782AKB63v73+USZ3SOfg3Xp02IYhlHvFZwhKSlJl156qZ5++mlJksPhUHx8vO644w7NmTOnSvvRo0erqKhIb731lnPZr3/9a/Xp00fLly+XYRiKi4vTrFmzNHv2bElSfn6+oqOjtXr1ao0ZM6ZKn6WlpSotLXU+t9lsio+PV/yMl+RjDa7vXQYAAB7gKC3WoSU3KD8/XyEhITW29eghqrKyMu3cuVPJycmnX9DHR8nJycrMzHS7TWZmpkt7SUpJSXG2379/v7Kzs13ahIaGKikpqdo+09LSFBoa6nzEx8f/0l0DAACNmEcPUR07dkx2u13R0dEuy6Ojo/X111+73SY7O9tt++zsbOf6ymXVtTnb3LlzlZqa6nxeOYKz/c+Dz5kAm4q8onJl5RR4uwxTKy2369Y1uyRJy8f+SlZ/Xy9X5FnsL/trJs1tf70tNjRQ7drU/xESm82m2CW1a+vxOTiNgdVqldVqrbI8OMBPwQHmeAtKyx0K5A+2wVj9fZvV+83+mhv7i/oWFODrkc/Xijr06dFDVBEREfL19VVOTo7L8pycHMXExLjdJiYmpsb2lV/r0icAAGhePBpwAgIClJiYqA0bNjiXORwObdiwQf3793e7Tf/+/V3aS1JGRoazfceOHRUTE+PSxmazadu2bdX2CQAAmhePH59JTU3VhAkT1LdvX/Xr109LlixRUVGRJk2aJEkaP3682rZtq7S0NEnSXXfdpYEDB+qxxx7T8OHDtW7dOn3yySd67rnnJEkWi0UzZszQ4sWLdeGFFzpPE4+Li9OIESM8vTsAAKAJ8HjAGT16tI4ePap58+YpOztbffr0UXp6unOS8MGDB+Xjc3og6bLLLtPatWv1l7/8RX/605904YUX6rXXXnNeA0eS7r77bhUVFWnq1KnKy8vTFVdcofT09DpdAwcAAJhXg8ywnT59uqZPn+523ebNm6ssGzVqlEaNGlVtfxaLRQsXLtTChQvrq0QAgIll20qc37+885CSu0UrNjTIixXB07gXFQDA1DZn5epP679wPk/fk61ZL3+mLf/L9WJV8DQCDgDAtI7kn9Bz//lOZ16z32FIhiE9u/U7ZeeXVL8xmjQCDgDAtDZnHZWlmnUWSZuyGMUxKwIOAMC0jhaWqrobLhqn1sOcCDgAANOKbGmtcQQnsmXVq9zDHAg4AADTGtQ1ssYRnKu6RjVkOWhABBwAgGnFhgbplgGdZLFIPha5fL1lQCfFhHL9NLMyx50mAQCoxsCLotQ1OkSbsnJ1tLBUkS2tuqprFOHG5Ag4AADTiwkN1I392nm7DDQgDlEBAADTIeAAAADTIeAAtXT2vWyO5J/wYjUAgJoQcIBa4F42ANC0EHCAc+BeNgDQ9BBwgHPgXjYA0PQQcIBz4F42AND0EHCAc+BeNgDQ9BBwgHPgXjYA0PQQcIBz4F42AND0cKsGoBa4lw0ANC0EHKCWuJcNADQdHKICAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACm49GAc/z4cY0dO1YhISEKCwvT5MmTVVhYWGP7O+64Q127dlVQUJDatWunO++8U/n5+S7tLBZLlce6des8uSsAAKAJ8fNk52PHjtWRI0eUkZGh8vJyTZo0SVOnTtXatWvdtv/xxx/1448/6tFHH1X37t31/fff69Zbb9WPP/6of//73y5tV61apaFDhzqfh4WFeXJXAABAE+KxgLN3716lp6drx44d6tu3ryTpqaee0tVXX61HH31UcXFxVbbp0aOHXnnlFefzzp076/7779e4ceNUUVEhP7/T5YaFhSkmJsZT5QMAgCbMY4eoMjMzFRYW5gw3kpScnCwfHx9t27at1v3k5+crJCTEJdxI0rRp0xQREaF+/fpp5cqVMgyj2j5KS0tls9lcHgAAwLw8FnCys7MVFRXlsszPz0+tW7dWdnZ2rfo4duyYFi1apKlTp7osX7hwoV566SVlZGRo5MiRuv322/XUU09V209aWppCQ0Odj/j4+LrvENDMZNtKnN+/vPOQjuSf8GI1AFA3dQ44c+bMcTvJ98zH119//YsLs9lsGj58uLp376777rvPZd29996ryy+/XJdcconuuece3X333XrkkUeq7Wvu3LnKz893Pg4dOvSL6wPMbHNWrv60/gvn8/Q92Zr18mfa8r9cL1aF+kSAhdnVeQ7OrFmzNHHixBrbdOrUSTExMcrNdf3HsKKiQsePHz/n3JmCggINHTpUrVq10vr16+Xv719j+6SkJC1atEilpaWyWq1V1lutVrfLAVR1JP+EnvvPdzrzqK/j1PfPbv1OXaNDFBMa6J3iUC82Z+Xquf9853yevidb7+7J1i0DOmngRVE1bAk0HXUOOJGRkYqMjDxnu/79+ysvL087d+5UYmKiJGnjxo1yOBxKSkqqdjubzaaUlBRZrVa98cYbCgw89z+ku3fvVnh4OCEGqAebs47KIsndrDaLpE1ZubqxX7sGrgr1hQCL5sJjc3C6deumoUOHasqUKdq+fbs++ugjTZ8+XWPGjHGeQXX48GElJCRo+/btkk6GmyFDhqioqEgrVqyQzWZTdna2srOzZbfbJUlvvvmmnn/+ee3Zs0f79u3TsmXL9MADD+iOO+7w1K4AzcrRwlK34UY6GXqOFpY2ZDmoZ5UB1p3KAAuYgUevg7NmzRpNnz5dgwcPlo+Pj0aOHKknn3zSub68vFxZWVkqLi6WJO3atct5hlWXLl1c+tq/f786dOggf39/LV26VDNnzpRhGOrSpYsef/xxTZkyxZO7AjQbkS2tNY7gRLZkpLQpI8CiufBowGndunW1F/WTpA4dOric3j1o0KAaT/eWpKFDh7pc4A9A/RrUNVJvfv6j23WGpKu6MkejKSPAorngXlQAXMSGBumWAZ1ksUg+Frl8vWVAJ+ZnNHGDukbWOIJDgIVZeHQEB0DTNPCiKHWNDtGmrFwdLSxVZEurruoaZepwc/Zp08ndohUbGuTFijyjMsA+u/U750hO5VcCLMzEYpzrmJAJ2Ww2hYaGOq+SbAY/F5Xp6+wCb5cBNEmVp01X/mvoYzn9gW/W06az80uaVYBFw4oLC1T7Ni3qvd+6fH4zggOgWWuup03HhAZyuj9MjTk4AJo1TpsGzImAA6BZ47RpwJwIOACatcrTpt3htGmg6SLgAGjWOG0aMCcCDoBmjev+AObEWVQAmr3meN0fwOwIOAAgTpsGzIZDVAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQ8GnCOHz+usWPHKiQkRGFhYZo8ebIKCwtr3GbQoEGyWCwuj1tvvdWlzcGDBzV8+HAFBwcrKipKf/zjH1VRUeHJXQEAAE2Inyc7Hzt2rI4cOaKMjAyVl5dr0qRJmjp1qtauXVvjdlOmTNHChQudz4ODg53f2+12DR8+XDExMfr444915MgRjR8/Xv7+/nrggQc8ti8AAKDp8FjA2bt3r9LT07Vjxw717dtXkvTUU0/p6quv1qOPPqq4uLhqtw0ODlZMTIzbde+//76++uorffDBB4qOjlafPn20aNEi3XPPPbrvvvsUEBDgkf0BAABNh8cOUWVmZiosLMwZbiQpOTlZPj4+2rZtW43brlmzRhEREerRo4fmzp2r4uJil3579uyp6Oho57KUlBTZbDZ9+eWXbvsrLS2VzWZzeQAAAPPy2AhOdna2oqKiXF/Mz0+tW7dWdnZ2tdv93//9n9q3b6+4uDh9/vnnuueee5SVlaVXX33V2e+Z4UaS83l1/aalpWnBggW/ZHcAAEATUueAM2fOHD300EM1ttm7d+95FzR16lTn9z179lRsbKwGDx6sb7/9Vp07dz6vPufOnavU1FTnc5vNpvj4+POuEQAANG51DjizZs3SxIkTa2zTqVMnxcTEKDc312V5RUWFjh8/Xu38GneSkpIkSfv27VPnzp0VExOj7du3u7TJycmRpGr7tVqtslqttX5NAADQtNU54ERGRioyMvKc7fr376+8vDzt3LlTiYmJkqSNGzfK4XA4Q0tt7N69W5IUGxvr7Pf+++9Xbm6u8xBYRkaGQkJC1L179zruDQAAMCOPTTLu1q2bhg4dqilTpmj79u366KOPNH36dI0ZM8Z5BtXhw4eVkJDgHJH59ttvtWjRIu3cuVMHDhzQG2+8ofHjx2vAgAHq1auXJGnIkCHq3r27/t//+3/67LPP9N577+kvf/mLpk2bxigNAACQ5OEL/a1Zs0YJCQkaPHiwrr76al1xxRV67rnnnOvLy8uVlZXlPEsqICBAH3zwgYYMGaKEhATNmjVLI0eO1JtvvuncxtfXV2+99ZZ8fX3Vv39/jRs3TuPHj3e5bg4AAGjeLIZhGN4uoqHZbDaFhoYqPz9fISEh3i6nXvxcVKavswu8XQYAAIoLC1T7Ni3qvd+6fH5zLyoAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BByTsPr7KCzYX74+Fm+XAgCA1/l5uwDUj+AAP3WLDZFhGCoqs6ugpFwFJRUqKClXWYXh7fIAAGhQBByTsVgsamn1U0urn2JDTy47cSrw2EoqZCspV2m5w7tFAgDgYQScZiAowFdBAb6KCjn5vLTCfmp0p0K2E+UqLrN7t0AAAOoZAacZsvr5ytrSVxEtrZKkCrvjdOApKVdhaYUMjmoBAJowAg7k5+uj8BYBCm8RIElyOAwVlFacMY+nQnYHiQcA0HQQcFCFj49FoUH+Cg3yl6QqE5dtJ8pVbifwAAAaL4+eJn78+HGNHTtWISEhCgsL0+TJk1VYWFht+wMHDshisbh9vPzyy8527tavW7fOk7vSrFVOXI4NDdJF0a3Ut0Nr9YkPU+fIFopsZZXVn6sNAAAaF4+O4IwdO1ZHjhxRRkaGysvLNWnSJE2dOlVr16512z4+Pl5HjhxxWfbcc8/pkUce0bBhw1yWr1q1SkOHDnU+DwsLq/f6UT0mLgMAGjOPBZy9e/cqPT1dO3bsUN++fSVJTz31lK6++mo9+uijiouLq7KNr6+vYmJiXJatX79eN9xwg1q2bOmyPCwsrEpbeA8TlwEAjYnHji1kZmYqLCzMGW4kKTk5WT4+Ptq2bVut+ti5c6d2796tyZMnV1k3bdo0RUREqF+/flq5cqWMGj49S0tLZbPZXB7wrMqJy+3aBKtH21D169Ba3eNCFN86SKFBXHEZAOBZHhvByc7OVlRUlOuL+fmpdevWys7OrlUfK1asULdu3XTZZZe5LF+4cKF+85vfKDg4WO+//75uv/12FRYW6s4773TbT1pamhYsWHB+O4J64TJxOdx14rLtxMkztpi4DACoL3UOOHPmzNFDDz1UY5u9e/eed0GVTpw4obVr1+ree++tsu7MZZdccomKior0yCOPVBtw5s6dq9TUVOdzm82m+Pj4X1wjzl/NV1w+edVlrrgMADhfdQ44s2bN0sSJE2ts06lTJ8XExCg3N9dleUVFhY4fP16ruTP//ve/VVxcrPHjx5+zbVJSkhYtWqTS0lJZrdYq661Wq9vlaFxOT1wOlHR64rLtxMnT05m4DACorToHnMjISEVGRp6zXf/+/ZWXl6edO3cqMTFRkrRx40Y5HA4lJSWdc/sVK1bo97//fa1ea/fu3QoPDyfEmMzZE5fL7Q4Vnpq0XFBSwcRlAEC1PDYHp1u3bho6dKimTJmi5cuXq7y8XNOnT9eYMWOcZ1AdPnxYgwcP1t///nf169fPue2+ffu0detWvfPOO1X6ffPNN5WTk6Nf//rXCgwMVEZGhh544AHNnj3bU7uCRsL/rCsu2x2GCktPj/AUlnLFZQDASR69Ds6aNWs0ffp0DR48WD4+Pho5cqSefPJJ5/ry8nJlZWWpuLjYZbuVK1fqggsu0JAhQ6r06e/vr6VLl2rmzJkyDENdunTR448/rilTpnhyV9AI+VZzxeXKwMPEZQBovixGTedXm5TNZlNoaKjy8/MVEhLi7XLgQSfK7KcOaTFxGQAaSlxYoNq3aVHv/dbl85t7UcHUKicuR58xcbnytHQmLgOAeRFw0KxY/XwV2cpXka1OT1yuPJzFxGUAMA8CDpo1f18ftW4RoNZnTlw+60wtJi4DQNNDwAHO4OtjUWiwv0KDT09cLiytcN5Xi4nLANA0EHCAGlgsFrUK9FerQH/nMofDkMMw5DAkQ4YMQ3IYZ3yVZDhOf3+yrSEZkuOMNg7HyW0MGaeXGydDVWXfjlP9yNnPGevP6IdBJgBwRcAB6sjHxyIfNb6bhVYGH5ewVVOAOjsonfn8jPYVDodKyh0qrbCrrIIkBaBpIOAAJmGxWORrkXw9GL7sDkOlFXZn4HH5Wm5nJAlAo0HAAVBrvj4WBQf4KTjA/frSCrtKKxwqKber9KwQxOgPgIZEwAFQb6x+vrL6+SrkjDlLlSpHf0rLHSo562tphYOz1QDUKwIOgAZxrtGfsoozgk/5GSNBFQ6VVXAFagB1Q8AB0CgE+PkowM9HCqy6zuEwXALP2V8Z/QFwNgIOgEbPx8fivO2GO2UVbiY9n/pabndwdWqgGSLgAGjyKkd/WtUw+uMyAfqMrxVcuBEwJQIOAFM71+hPud3hEnhOlNlVUm5XcZmdQ19AE0bAAdCs+fv6yN/XRy2tVf85LCk/HXZOlNt14tRXRn2Axo+AAwDVCPT3VaC/r8KCXZeXVpwOO8VlBB+gMSLgAEAdVV7vJ+ys5QQfoPEg4ABAPakp+JSUOVRcXkHwARoIAQcAPKwy+ITK9QrPZacmNReXV5z8SvAB6g0BBwC8pPL09uqCz8lDXSdHfUrK7Son+AC1RsABgEamxuBz6myu4rIK5/cEH6AqAg4ANBHO4BNUffCpHPUh+KC5I+AAQBNXXfAptztcJjUXl1WopNyusgqCD8yPgAMAJuXv66PQoOqDT8mpUZ8zb2XBBGeYBQEHAJqZ6oKPJFWcunWFM/SUOwhAaJIIOAAAJz9fH/n5+qiF1f16AhCaCgIOAKDWCEBoKgg4AIB6QwBCY0HAAQA0GAIQGgoBBwDQaNQ1AJVVfl9+8jnX/kElAg4AoMk4VwCyOwy3Iz8EoOaHgAMAMA1fH4uCA/wUHOB+vcNxMuC4izmGUXWp+3Zulrlt6b5tbdu569N9O3f9nf++uGtY21oqNw/093G/sgERcAAAzYaPj6WGtTWtQ1Pj/YgFAABQzwg4AADAdDwWcO6//35ddtllCg4OVlhYWK22MQxD8+bNU2xsrIKCgpScnKxvvvnGpc3x48c1duxYhYSEKCwsTJMnT1ZhYaEH9gAAADRVHgs4ZWVlGjVqlG677bZab/Pwww/rySef1PLly7Vt2za1aNFCKSkpKikpcbYZO3asvvzyS2VkZOitt97S1q1bNXXqVE/sAgAAaKIshrup1vVo9erVmjFjhvLy8mpsZxiG4uLiNGvWLM2ePVuSlJ+fr+joaK1evVpjxozR3r171b17d+3YsUN9+/aVJKWnp+vqq6/WDz/8oLi4uFrVZLPZFBoaqvz8fIWEhPyi/QMAAA2jLp/fjeYsqv379ys7O1vJycnOZaGhoUpKSlJmZqbGjBmjzMxMhYWFOcONJCUnJ8vHx0fbtm3Tdddd57bv0tJSlZaWOp/n5+dLOvlGAQCApqHyc7s2YzONJuBkZ2dLkqKjo12WR0dHO9dlZ2crKirKZb2fn59at27tbONOWlqaFixYUGV5fHz8Ly0bAAA0sIKCAoWGhtbYpk4BZ86cOXrooYdqbLN3714lJCTUpVuPmzt3rlJTU53PHQ6Hjh8/rjZt2shiqd/rHthsNsXHx+vQoUPN4vAX+2tu7K+5sb/mZsb9NQxDBQUFtZqSUqeAM2vWLE2cOLHGNp06dapLl04xMTGSpJycHMXGxjqX5+TkqE+fPs42ubm5LttVVFTo+PHjzu3dsVqtslpdr+td2zO7zldISIhpfqFqg/01N/bX3NhfczPb/p5r5KZSnQJOZGSkIiMjz6ugc+nYsaNiYmK0YcMGZ6Cx2Wzatm2b80ys/v37Ky8vTzt37lRiYqIkaePGjXI4HEpKSvJIXQAAoOnx2GniBw8e1O7du3Xw4EHZ7Xbt3r1bu3fvdrlmTUJCgtavXy9JslgsmjFjhhYvXqw33nhDX3zxhcaPH6+4uDiNGDFCktStWzcNHTpUU6ZM0fbt2/XRRx9p+vTpGjNmTK3PoAIAAObnsUnG8+bN0wsvvOB8fskll0iSNm3apEGDBkmSsrKynGc0SdLdd9+toqIiTZ06VXl5ebriiiuUnp6uwMBAZ5s1a9Zo+vTpGjx4sHx8fDRy5Eg9+eSTntqNOrNarZo/f36VQ2Jmxf6aG/trbuyvuTW3/T2bx6+DAwAA0NC4FxUAADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAk49Wrp0qTp06KDAwEAlJSVp+/bt3i7JY7Zu3aprrrlGcXFxslgseu2117xdkkelpaXp0ksvVatWrRQVFaURI0YoKyvL22V5zLJly9SrVy/nFVD79++vd99919tlNYgHH3zQeV0us7rvvvtksVhcHo3tFjv17fDhwxo3bpzatGmjoKAg9ezZU5988om3y/KIDh06VPn5WiwWTZs2zdulNSgCTj158cUXlZqaqvnz52vXrl3q3bu3UlJSqtxawiyKiorUu3dvLV261NulNIgtW7Zo2rRp+u9//6uMjAyVl5dryJAhKioq8nZpHnHBBRfowQcf1M6dO/XJJ5/oN7/5ja699lp9+eWX3i7No3bs2KFnn31WvXr18nYpHnfxxRfryJEjzseHH37o7ZI85ueff9bll18uf39/vfvuu/rqq6/02GOPKTw83NulecSOHTtcfrYZGRmSpFGjRnm5sgZmoF7069fPmDZtmvO53W434uLijLS0NC9W1TAkGevXr/d2GQ0qNzfXkGRs2bLF26U0mPDwcOP555/3dhkeU1BQYFx44YVGRkaGMXDgQOOuu+7ydkkeM3/+fKN3797eLqPB3HPPPcYVV1zh7TK85q677jI6d+5sOBwOb5fSoBjBqQdlZWXauXOnkpOTnct8fHyUnJyszMxML1YGT6m8Anfr1q29XInn2e12rVu3TkVFRerfv7+3y/GYadOmafjw4S5/x2b2zTffKC4uTp06ddLYsWN18OBBb5fkMW+88Yb69u2rUaNGKSoqSpdccon+9re/ebusBlFWVqZ//vOfuummm2SxWLxdToMi4NSDY8eOyW63Kzo62mV5dHS0srOzvVQVPMXhcGjGjBm6/PLL1aNHD2+X4zFffPGFWrZsKavVqltvvVXr169X9+7dvV2WR6xbt067du1SWlqat0tpEElJSVq9erXS09O1bNky7d+/X1deeaUKCgq8XZpHfPfdd1q2bJkuvPBCvffee7rtttt05513utxOyKxee+015eXlaeLEid4upcF57F5UgFlNmzZNe/bsMfWcBUnq2rWrdu/erfz8fP373//WhAkTtGXLFtOFnEOHDumuu+5SRkaGy33vzGzYsGHO73v16qWkpCS1b99eL730kiZPnuzFyjzD4XCob9++euCBBySdvDfinj17tHz5ck2YMMHL1XnWihUrNGzYsGZ5Q2pGcOpBRESEfH19lZOT47I8JydHMTExXqoKnjB9+nS99dZb2rRpky644AJvl+NRAQEB6tKlixITE5WWlqbevXvriSee8HZZ9W7nzp3Kzc3Vr371K/n5+cnPz09btmzRk08+KT8/P9ntdm+X6HFhYWG66KKLtG/fPm+X4hGxsbFVgnm3bt1MfVhOkr7//nt98MEHuvnmm71dilcQcOpBQECAEhMTtWHDBucyh8OhDRs2mHrOQnNiGIamT5+u9evXa+PGjerYsaO3S2pwDodDpaWl3i6j3g0ePFhffPGFdu/e7Xz07dtXY8eO1e7du+Xr6+vtEj2usLBQ3377rWJjY71dikdcfvnlVS7r8L///U/t27f3UkUNY9WqVYqKitLw4cO9XYpXcIiqnqSmpmrChAnq27ev+vXrpyVLlqioqEiTJk3ydmkeUVhY6PK/vf3792v37t1q3bq12rVr58XKPGPatGlau3atXn/9dbVq1co5tyo0NFRBQUFerq7+zZ07V8OGDVO7du1UUFCgtWvXavPmzXrvvfe8XVq9a9WqVZW5VC1atFCbNm1MO8dq9uzZuuaaa9S+fXv9+OOPmj9/vnx9fXXjjTd6uzSPmDlzpi677DI98MADuuGGG7R9+3Y999xzeu6557xdmsc4HA6tWrVKEyZMkJ9fM/2o9/ZpXGby1FNPGe3atTMCAgKMfv36Gf/973+9XZLHbNq0yZBU5TFhwgRvl+YR7vZVkrFq1Spvl+YRN910k9G+fXsjICDAiIyMNAYPHmy8//773i6rwZj9NPHRo0cbsbGxRkBAgNG2bVtj9OjRxr59+7xdlke9+eabRo8ePQyr1WokJCQYzz33nLdL8qj33nvPkGRkZWV5uxSvsRiGYXgnWgEAAHgGc3AAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDp/H+c5Z7Pe6jt/AAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"33\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"34\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"35\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"36\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"37\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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8XK+88kqFwxiVvU4VWbhwoTIzM3XllVfqD3/4gwIDA/Xss8/Kbrfr4YcfPq9rralbb71VDz74oG699Vb17t1bH3zwQYVvzNVVnZ+3dPL1WrJkiRYuXKiOHTsqJiamXA+NdLLn7aGHHtL48ePVv39/3XTTTZ5l4m3bttX06dPPua1nuu6667RgwQK9//77niGnmv5tNW/eXGvXrtU111yjXr16ed3JeMeOHfrnP/95TiElLy9Pn3/+uaZMmXLuFwjz8s/iLcD3rr32WiMkJMQoKiqqtM64ceOMoKAg4/Dhw4ZhGMahQ4eM4cOHG2FhYUbz5s2N2267zfjyyy/LLRt2Op3GHXfcYURHRxsWi8VrKfSxY8eM6dOnG/Hx8UZQUJBx0UUXGY888ojXcuAyy5cvNy699FLDZrMZzZs3N/r37+9Zclvm6aefNjp37mwEBQUZsbGxxuTJk41ffvnFq07//v2NSy65pNz5y5Y8P/LIIxVe/3fffWeMGTPGiIuLM4KCgowLLrjA+O1vf2v8+9//9tSpaJn4119/bSQnJxtNmzY1oqKijIkTJxqfffZZjV4nnbHk2jAMY8eOHUZKSorRtGlTIywszBg4cKDx8ccfe9UpWya+fft2r/LKlvmfqWxp96FDhyqtU1xcbEyYMMGIiIgwmjVrZtx4441GXl5epcvEzzxXWRv37NnjVX62n3dOTo4xdOhQo1mzZoYkz5Lxyq7tpZde8pyvRYsWxujRo40ff/zRq87YsWONJk2aVPo6VEePHj2MCRMmeLbP5W/LME4u+58+fbpx8cUXGyEhIUZYWJiRmJho3H///UZ+fr6nXmW/z2dasmSJERYWZhQUFFTrOtC4WAyjnsyCAwDUS3//+981ZcoU7du3z+sGgv526aWXasCAAV430ATKMAcHAFCl0aNHq3Xr1hVOKPaXjIwMffvtt5o9e7a/m4J6ih4cAABgOvTgAAAA0/FpwPnggw907bXXKj4+XhaLpVofiLZ582b96le/ks1mU8eOHSv8RN/Fixerbdu2CgkJUVJSkrZt21b7jQcAAA2WTwNOUVGRevbsWe1x2z179mjo0KEaOHCgdu7cqWnTpunWW2/Vu+++66nz0ksvKS0tTXPnztWOHTvUs2dPpaSkVLiUFwAANE51NgfHYrFo7dq1GjZsWKV17rnnHr311lv68ssvPWWjRo3S0aNHlZGRIenk55xcdtllnhupud1uJSQk6I477tCsWbN8eg0AAKBhqFc3+tuyZUu528anpKRo2rRpkk7eoj4rK8tr1rzValVycrK2bNlS6XntdrvXXTjdbreOHDmili1b8gFtAAA0EIZh6NixY4qPj5fVWvUgVL0KODk5OYqNjfUqi42NVUFBgY4fP65ffvlFLperwjpln/VTkfT0dM2bN88nbQYAAHVr//79uvDCC6usU68Cjq/Mnj1baWlpnu38/Hy1bt1a+/fvr5XPt/lr5v+08uO9crnLj/YFWC0ad3lbTf/Nxef9PAAANGYFBQVKSEjw+jDjytSrgBMXF6fc3FyvstzcXIWHhys0NFQBAQEKCAiosE5cXFyl57XZbLLZbOXKw8PDayXgjOnfRS9+kitrBbOZLBZpbP8uCg9vct7PAwAAVK3pJfXqPjh9+/bVhg0bvMoyMzM9H8IWHBysxMRErzput1sbNmzw66fJtotqooeG95D1tNc7wGKR1SI9NLyH2kYRbgAAqEs+7cEpLCzU7t27Pdt79uzRzp071aJFC7Vu3VqzZ8/WgQMH9Le//U2SdPvtt+vpp5/W3XffrVtuuUUbN27Uv/71L7311luec6SlpWns2LHq3bu3+vTpo0WLFqmoqEjjx4/35aWc1YjeCep2QbiGPPGhJGn8lW11c1Ibwg0AAH7g04DzySefaODAgZ7tsnkwY8eO1cqVK3Xw4EHt27fPs79du3Z66623NH36dD3xxBO68MIL9cILLyglJcVTZ+TIkTp06JDmzJmjnJwc9erVSxkZGeUmHvtDm5anwkzaby5WWHC9GgEEAKDRaJSfRVVQUKCIiAjl5+fXyhycMsUOp7rOOXlTwq/npxBwAACoRTV5/65Xc3AAAABqAwEHAACYDgEHAACYDpNEAABAjbnchkpcbjlcbpU43SpxGXI4T26HhwYqplmIX9tHwAEAAJJOftZTics4LbSUBhhXaZgpLStxGRXevb9MUID/P+eRgAMAgMk5S0PJybBS+nCesV1axyxrqwk4AAA0QIZhnOpdqaS3xeFyy3mW3hazIuAAAFCPnN7bcmpIqDTAOA2v3hZUjoADAICPud2nDweVn89y+mTdRtjZ4hMEHAAAzlFV81nobfEvAg4AAKeprLfFcUaYcbrobanPCDgAgEbBMAwdL3GdFlYqnpzrpLfFFAg4AADTcbkNFTucKrK7VORwqsju1HGHix6XRoSAAwBo0Jwut4ocLhXZnSp2OFVod+lEics093PBuSHgAAAaDIfTXRpinCp2uFRod8pe4vZ3s1APEXAAAPXSiRKXikt7ZsqGmRxOumVQPQQcAIBfGYahEyVuT4gpsrtU7HCytBrnhYADAKgzhmGc7JUpmwBcOtTUGD9KAL5FwAEA+ITbbajIcWquTHFpzwxZBnWBgAMAOG9lK5mKTxtmOs5KJvgRAQcAUCMlLnfpxN/SCcB2p06wkgn1DAEHAFCp8iuZTt4JGKjvCDgAAEnS8dLJv8X20jkzrGRCA0bAAdCouNyGnG536VdD7tKvp283Jk63wUommBIBB0CD4nS5vQKJV2BxGXIbp5W7jHKBhkmvQONAwAFQZwzDu7fE5fIOH6e+ngoxp+9zEVAAVBMBB0C1nd4bcmb4OFtgcbnFEAiAOkPAARo5wzDkcLnlcJY+Tvve7nSrxMXwDoCGh4ADmNjp4cXuLB9iygIMwQWA2RBwgAbKMIyToeX03hfCCwBIIuAA9VJF4cW7B8alEhdDRgBQGQIOUMfc7pPDRvYK5ryUhReHk+QCAOeDgAPUorOFF7vTxZ1hAaAOEHCAGjhR4pK9xC27y1XhqiPCCwDUDwQcoAIlLreK7S4Vl5y8hf1xh0vHS1xyEmAAoEGw1sWTLF68WG3btlVISIiSkpK0bdu2SusOGDBAFoul3GPo0KGeOuPGjSu3PzU1tS4uBSbjchs6dqJEeQUntPdwkb7+qUBZPxzRJ3t/0dcHC7T3cLHyCuw6dsJJuAGABsTnPTgvvfSS0tLStHTpUiUlJWnRokVKSUlRdna2YmJiytV/9dVX5XA4PNs///yzevbsqREjRnjVS01N1YoVKzzbNpvNdxeBBs/tNnS8xOXpjSnrmbGXuP3dNACAD/g84Dz++OOaOHGixo8fL0launSp3nrrLS1fvlyzZs0qV79FixZe22vWrFFYWFi5gGOz2RQXF+e7hqNBKlteXexwqdjhPBlmSoeXWFINAI2HTwOOw+FQVlaWZs+e7SmzWq1KTk7Wli1bqnWOZcuWadSoUWrSpIlX+ebNmxUTE6PmzZvr6quv1sKFC9WyZcsKz2G322W32z3bBQUF53A1qG/sTpcnwJw+T4bPOwIA+DTgHD58WC6XS7GxsV7lsbGx+uabb856/LZt2/Tll19q2bJlXuWpqan6/e9/r3bt2um7777Tn/70Jw0ZMkRbtmxRQEBAufOkp6dr3rx553cx8Buny63iklNhpsju1IkSllsDACpXr1dRLVu2TN27d1efPn28ykeNGuX5vnv37urRo4c6dOigzZs3a9CgQeXOM3v2bKWlpXm2CwoKlJCQ4LuG45y43YaKS7yHloodJ5djAwBQEz4NOFFRUQoICFBubq5XeW5u7lnnzxQVFWnNmjWaP3/+WZ+nffv2ioqK0u7duysMODabjUnI9YhhGDpR4laxw+kJMcUOp+xOPjcJAFA7fBpwgoODlZiYqA0bNmjYsGGSJLfbrQ0bNmjq1KlVHvvyyy/Lbrfr5ptvPuvz/Pjjj/r555/VqlWr2mg2atGJsqGlEpeOO07dU4ZpMgAAX/L5EFVaWprGjh2r3r17q0+fPlq0aJGKioo8q6rGjBmjCy64QOnp6V7HLVu2TMOGDSs3cbiwsFDz5s3T8OHDFRcXp++++0533323OnbsqJSUFF9fDirBjfEAAPWJzwPOyJEjdejQIc2ZM0c5OTnq1auXMjIyPBOP9+3bJ6vV+36D2dnZ+vDDD7V+/fpy5wsICNDnn3+uF198UUePHlV8fLwGDx6sBQsWMAxVB1xuo9wcmeMlTj4cEgBQr1gMo/HNeigoKFBERITy8/MVHh5ea+ctdjjVdc67kqSv56coLLhez+GuEjfGAwCcq/jIELVp2eTsFWuoJu/fDfcdGLWCG+MBAMyIgNOIcGM8AEBjQcAxIW6MBwBo7Ag4JlFkd2rfkWJujAcAgAg4puFwunW0uMTfzQAAoF6wnr0KAABAw0LAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAApkPAAQAAplMnAWfx4sVq27atQkJClJSUpG3btlVad+XKlbJYLF6PkJAQrzqGYWjOnDlq1aqVQkNDlZycrG+//dbXlwEAABoInwecl156SWlpaZo7d6527Nihnj17KiUlRXl5eZUeEx4eroMHD3oeP/zwg9f+hx9+WE8++aSWLl2qrVu3qkmTJkpJSdGJEyd8fTkAAKAB8HnAefzxxzVx4kSNHz9eXbt21dKlSxUWFqbly5dXeozFYlFcXJznERsb69lnGIYWLVqkv/zlL7ruuuvUo0cP/e1vf9NPP/2k1157zdeXAwAAGgCfBhyHw6GsrCwlJyefekKrVcnJydqyZUulxxUWFqpNmzZKSEjQddddp6+++sqzb8+ePcrJyfE6Z0REhJKSkio9p91uV0FBgdcDAACYl08DzuHDh+Vyubx6YCQpNjZWOTk5FR7TqVMnLV++XK+//rr+8Y9/yO126/LLL9ePP/4oSZ7janLO9PR0RUREeB4JCQnne2kAAKAeq3erqPr27asxY8aoV69e6t+/v1599VVFR0fr2WefPedzzp49W/n5+Z7H/v37a7HFAACgvvFpwImKilJAQIByc3O9ynNzcxUXF1etcwQFBenSSy/V7t27JclzXE3OabPZFB4e7vUAAADm5dOAExwcrMTERG3YsMFT5na7tWHDBvXt27da53C5XPriiy/UqlUrSVK7du0UFxfndc6CggJt3bq12ucEAADmFujrJ0hLS9PYsWPVu3dv9enTR4sWLVJRUZHGjx8vSRozZowuuOACpaenS5Lmz5+vX//61+rYsaOOHj2qRx55RD/88INuvfVWSSdXWE2bNk0LFy7URRddpHbt2unee+9VfHy8hg0b5uvLAQAADYDPA87IkSN16NAhzZkzRzk5OerVq5cyMjI8k4T37dsnq/VUR9Ivv/yiiRMnKicnR82bN1diYqI+/vhjde3a1VPn7rvvVlFRkSZNmqSjR4/qyiuvVEZGRrkbAgIAgMbJYhiG4e9G1LWCggJFREQoPz+/VufjFDuc6jrnXUnS1/NTFBbs8/zo8UuRQ9/kHKuz5wMAoDLxkSFq07JJrZ+3Ju/f9W4VFQAAwPki4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMJ9HcD0HAdzD+uzdmHdKjQruimNg3oFK1WEaH+bhYAAAQcnJvN2Xl67j/fyyLJkGSR9MbnP+m2fu3V/+IYP7cOANDYMUSFGjuYf1zP/ed7GYbkNuT19dkPvldO/gl/NxEA0MgRcFBjm7MPyVLJPoukTdl5ddkcAADKIeCgxg4V2mVUss8o3Q8AgD8RcFBj0U1tVfbgRDe11WVzAAAoh4CDGhvQKbrKHpyBnZhkDADwLwIOaqxVRKhu69deltO6cawWyWKRbuvXXnERIf5rHAAAYpk4zlH/i2PUtmUTzXr1C0lSarc4/aZLHOEGAFAvEHBwzmLDT4WZEYkJCgkK8GNrAAA4hSEqAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOnUScBYvXqy2bdsqJCRESUlJ2rZtW6V1n3/+eV111VVq3ry5mjdvruTk5HL1x40bJ4vF4vVITU319WUAAIAGwucB56WXXlJaWprmzp2rHTt2qGfPnkpJSVFeXl6F9Tdv3qybbrpJmzZt0pYtW5SQkKDBgwfrwIEDXvVSU1N18OBBz+Of//ynry8FjdzB/OP657Z9enLjt/rntn06mH/c300CAFTC5x+2+fjjj2vixIkaP368JGnp0qV66623tHz5cs2aNatc/VWrVnltv/DCC3rllVe0YcMGjRkzxlNus9kUFxfn28YDpTZn5+m5/3wviyRDkkXSG5//pNv6tVf/i2P83DoAwJl82oPjcDiUlZWl5OTkU09otSo5OVlbtmyp1jmKi4tVUlKiFi1aeJVv3rxZMTEx6tSpkyZPnqyff/650nPY7XYVFBR4PYDqOph/XM/953sZhuQ25PX12Q++V07+CX83EQBwBp8GnMOHD8vlcik2NtarPDY2Vjk5OdU6xz333KP4+HivkJSamqq//e1v2rBhgx566CG9//77GjJkiFwuV4XnSE9PV0REhOeRkJBw7heFRmdz9iFZKtlnkbQpu+LhVgCA//h8iOp8PPjgg1qzZo02b96skJAQT/moUaM833fv3l09evRQhw4dtHnzZg0aNKjceWbPnq20tDTPdkFBASEH1Xao0C6jkn1G6X4AQP3i0x6cqKgoBQQEKDc316s8Nzf3rPNnHn30UT344INav369evToUWXd9u3bKyoqSrt3765wv81mU3h4uNcDqK7oprYqe3Cim9rqsjkAgGrwacAJDg5WYmKiNmzY4Clzu93asGGD+vbtW+lxDz/8sBYsWKCMjAz17t37rM/z448/6ueff1arVq1qpd3A6QZ0iq6yB2dgJyYZA0B94/Nl4mlpaXr++ef14osvateuXZo8ebKKioo8q6rGjBmj2bNne+o/9NBDuvfee7V8+XK1bdtWOTk5ysnJUWFhoSSpsLBQf/zjH/Xf//5Xe/fu1YYNG3TdddepY8eOSklJ8fXloBFqFRGq2/q1l+W0bhyrRbJYpNv6tVdcREjlBwMA/MLnc3BGjhypQ4cOac6cOcrJyVGvXr2UkZHhmXi8b98+Wa2nctaSJUvkcDh0ww03eJ1n7ty5uu+++xQQEKDPP/9cL774oo4ePar4+HgNHjxYCxYskM3GUAF8o//FMWrbsolmvfqFJCm1W5x+0yWOcAMA9VSdTDKeOnWqpk6dWuG+zZs3e23v3bu3ynOFhobq3XffraWWAdUXG34qzIxITFBIUIAfWwMAqAqfRQUAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEynTgLO4sWL1bZtW4WEhCgpKUnbtm2rsv7LL7+szp07KyQkRN27d9fbb7/ttd8wDM2ZM0etWrVSaGiokpOT9e233/ryEgAAQAMS6OsneOmll5SWlqalS5cqKSlJixYtUkpKirKzsxUTE1Ou/scff6ybbrpJ6enp+u1vf6vVq1dr2LBh2rFjh7p16yZJevjhh/Xkk0/qxRdfVLt27XTvvfcqJSVFX3/9tUJCQqrdtmKHU4EOZ61da/Fp5yquxfNWx3GHSydKXHX6nPbTns9ex8/tD43tehubnIIT+s+3h/RzoUMtmwbrqouiFRde/X9PAJxy3OHyyftgTc5pMQzDqPUWnCYpKUmXXXaZnn76aUmS2+1WQkKC7rjjDs2aNatc/ZEjR6qoqEhvvvmmp+zXv/61evXqpaVLl8owDMXHx2vGjBmaOXOmJCk/P1+xsbFauXKlRo0aVe6cdrtddrvds11QUKCEhAQlTPuXrLaw2r5kAADgA257sfYvulH5+fkKDw+vsq5Ph6gcDoeysrKUnJx86gmtViUnJ2vLli0VHrNlyxav+pKUkpLiqb9nzx7l5OR41YmIiFBSUlKl50xPT1dERITnkZCQcL6XBgAA6jGfDlEdPnxYLpdLsbGxXuWxsbH65ptvKjwmJyenwvo5OTme/WVlldU50+zZs5WWlubZLuvB2fbnQWdNgA3F0aISZece83czYCL2EpduX7VDkrR09K9kCwrwc4t84+Ws/cr4MkfuCvqyrRYptVucRiSa7z9FjeXnW4brrdvrbRURotYta3+EpKCgQK0WVa+uz+fg1Ac2m002m61ceVhwoMKCzfES2EvcCjH5Hyz8xxYUYNrfr1+KS1TZOL1Rut+s117GzD/finC9vhcaHOCT91dnDc7p0yGqqKgoBQQEKDc316s8NzdXcXFxFR4TFxdXZf2yrzU5JwBUJrqpTZZK9llK9wNoeHwacIKDg5WYmKgNGzZ4ytxutzZs2KC+fftWeEzfvn296ktSZmamp367du0UFxfnVaegoEBbt26t9JwAUJkBnaKr7MEZ2Kn8ak8A9Z/P74OTlpam559/Xi+++KJ27dqlyZMnq6ioSOPHj5ckjRkzRrNnz/bUv+uuu5SRkaHHHntM33zzje677z598sknmjp1qiTJYrFo2rRpWrhwodatW6cvvvhCY8aMUXx8vIYNG+brywFgMq0iQnVbv/ayWE7OuTn962392isugqXiQEPk8wkoI0eO1KFDhzRnzhzl5OSoV69eysjI8EwS3rdvn6zWUznr8ssv1+rVq/WXv/xFf/rTn3TRRRfptdde89wDR5LuvvtuFRUVadKkSTp69KiuvPJKZWRk1OgeOABQpv/FMeoUG65N2Xk6VGhXdFObBnaKIdwADVidzLCdOnWqpwfmTJs3by5XNmLECI0YMaLS81ksFs2fP1/z58+vrSYCaOTiIkJ0U5/W/m4GgFrCZ1EBAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAAADTIeAAqFBOwQnP9y9n7dfB/ON+bA0A1AwBB0A5m7Pz9Ke1X3i2M77M0YyXP9P7/8vzY6sAoPoIOAC8HMw/ruf+870M41SZ25AMQ3r2g++Vk3+i8oMBoJ4g4ADwsjn7kCyV7LNI2pRNLw6A+o+AA8DLoUK7jEr2GaX7AaC+I+AA8BLd1FZlD050U1tdNgcAzgkBB4CXAZ2iq+zBGdgppi6bAwDnhIADwEuriFDd1q+9LBbJapHX19v6tVdcRIi/mwgAZxXo7wYAqH/6XxyjTrHh2pSdp0OFdkU3tWlgpxjCDYAGg4ADoEJxESG6qU9rfzcDAM4JQ1QAAMB0CDgAAMB0fBpwjhw5otGjRys8PFyRkZGaMGGCCgsLq6x/xx13qFOnTgoNDVXr1q115513Kj8/36uexWIp91izZo0vLwUAADQgPp2DM3r0aB08eFCZmZkqKSnR+PHjNWnSJK1evbrC+j/99JN++uknPfroo+ratat++OEH3X777frpp5/073//26vuihUrlJqa6tmOjIz05aUAAIAGxGcBZ9euXcrIyND27dvVu3dvSdJTTz2la665Ro8++qji4+PLHdOtWze98sornu0OHTro/vvv18033yyn06nAwFPNjYyMVFxcnK+aDwAAGjCfDVFt2bJFkZGRnnAjScnJybJardq6dWu1z5Ofn6/w8HCvcCNJU6ZMUVRUlPr06aPly5fLMCq7NZlkt9tVUFDg9QAAAOblsx6cnJwcxcR43/E0MDBQLVq0UE5OTrXOcfjwYS1YsECTJk3yKp8/f76uvvpqhYWFaf369frDH/6gwsJC3XnnnRWeJz09XfPmzTu3CwEAAA1OjXtwZs2aVeEk39Mf33zzzXk3rKCgQEOHDlXXrl113333ee279957dcUVV+jSSy/VPffco7vvvluPPPJIpeeaPXu28vPzPY/9+/efd/sAAKivcgpOeL5/OWu/DuYf92Nr/KPGPTgzZszQuHHjqqzTvn17xcXFKS8vz6vc6XTqyJEjZ507c+zYMaWmpqpZs2Zau3atgoKCqqyflJSkBQsWyG63y2Yr/0GANputwnIAAMxmc3aenvvP957tjC9z9M6XObqtX3v1v7jxfJZcjQNOdHS0oqOjz1qvb9++Onr0qLKyspSYmChJ2rhxo9xut5KSkio9rqCgQCkpKbLZbFq3bp1CQs5+a/idO3eqefPmhBgAQKN2MP+4nvvP9zp9Wqq79PtnP/henWLDG81HrvhsknGXLl2UmpqqiRMnatu2bfroo480depUjRo1yrOC6sCBA+rcubO2bdsm6WS4GTx4sIqKirRs2TIVFBQoJydHOTk5crlckqQ33nhDL7zwgr788kvt3r1bS5Ys0QMPPKA77rjDV5cCAGjgGsuQzebsQ7JUss8iaVN2XiV7zcen98FZtWqVpk6dqkGDBslqtWr48OF68sknPftLSkqUnZ2t4uJiSdKOHTs8K6w6duzoda49e/aobdu2CgoK0uLFizV9+nQZhqGOHTvq8ccf18SJE315KQCABqoxDdkcKrSrsjXFRun+xsKnAadFixaV3tRPktq2beu1vHvAgAFVLveWpNTUVK8b/AEAUJnGNmQT3dQmi1RhyLGU7m8s+CwqAIBpNbYhmwGdoqvswRnYyVw9VlUh4AAATKuxDdm0igjVbf3ay2KRrBZ5fb2tX3tT9VadjU+HqAAA8KfGOGTT/+IYdYoN16bsPB0qtCu6qU0DO8U0qnAjEXAAACY2oFO03vj8pwr3mXnIJi4iRDf1ae3vZvgVQ1QAANNiyKbxogcHABqhM+8Lk9wlVq0iQv3YIt9hyKZxIuAAQCPTmO4LU4Yhm8aHISoAaEQquy+MYZy8L0xO/onKDwYaEAIOADQije2+MGi8CDgA0Ig0tvvCoPEi4ABAI1J2X5iKmPW+MGicCDgA0IhwK380FgQcAGhEuC8MGguWiQNAI8N9YdAYEHAAoBHivjAwO4aoAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6fg04Bw5ckSjR49WeHi4IiMjNWHCBBUWFlZ5zIABA2SxWLwet99+u1edffv2aejQoQoLC1NMTIz++Mc/yul0+vJSAABAAxLoy5OPHj1aBw8eVGZmpkpKSjR+/HhNmjRJq1evrvK4iRMnav78+Z7tsLAwz/cul0tDhw5VXFycPv74Yx08eFBjxoxRUFCQHnjgAZ9dCwAAaDh8FnB27dqljIwMbd++Xb1795YkPfXUU7rmmmv06KOPKj4+vtJjw8LCFBcXV+G+9evX6+uvv9Z7772n2NhY9erVSwsWLNA999yj++67T8HBwT65HgAA0HD4bIhqy5YtioyM9IQbSUpOTpbVatXWrVurPHbVqlWKiopSt27dNHv2bBUXF3udt3v37oqNjfWUpaSkqKCgQF999VWF57Pb7SooKPB6AAAA8/JZD05OTo5iYmK8nywwUC1atFBOTk6lx/3f//2f2rRpo/j4eH3++ee65557lJ2drVdffdVz3tPDjSTPdmXnTU9P17x5887ncgAAQANS44Aza9YsPfTQQ1XW2bVr1zk3aNKkSZ7vu3fvrlatWmnQoEH67rvv1KFDh3M65+zZs5WWlubZLigoUEJCwjm3EQAA1G81DjgzZszQuHHjqqzTvn17xcXFKS8vz6vc6XTqyJEjlc6vqUhSUpIkaffu3erQoYPi4uK0bds2rzq5ubmSVOl5bTabbDZbtZ8TAAA0bDUOONHR0YqOjj5rvb59++ro0aPKyspSYmKiJGnjxo1yu92e0FIdO3fulCS1atXKc977779feXl5niGwzMxMhYeHq2vXrjW8GgAAYEY+m2TcpUsXpaamauLEidq2bZs++ugjTZ06VaNGjfKsoDpw4IA6d+7s6ZH57rvvtGDBAmVlZWnv3r1at26dxowZo379+qlHjx6SpMGDB6tr1676f//v/+mzzz7Tu+++q7/85S+aMmUKvTQAAECSj2/0t2rVKnXu3FmDBg3SNddcoyuvvFLPPfecZ39JSYmys7M9q6SCg4P13nvvafDgwercubNmzJih4cOH64033vAcExAQoDfffFMBAQHq27evbr75Zo0ZM8brvjkAAKBxsxiGYfi7EXWtoKBAERERys/PV3h4uL+bUyt+KXLom5xj/m4GAACKjwxRm5ZNav28NXn/5rOoAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwTMIWZFXLpsEKDQ6QxeLv1gAA4F+B/m4AakdYcKAujm0mSXK7DR0vcanY4dJxh0tFDqeKHS45nG4/txIAgLpBwDEhq9WiJrZANbF5/3idLreKS06GnmKHS8UOp447XCpxGX5qKQAAvkHAaUQCA6wKD7AqPCTIq9zhdJ8MPSVOT69PscMll5vgAwBomAg4UHCgVcGBVkXIO/icKPHu6Sl2uHS8xCWD3AMAqOcIOKhUSFCAQoIC1KJJsKfMMLzn95QFoBMlzO8BANQfBBzUiMViUVhwoMKCvX91XGUTm+3O0tDj0vESpxxOunsAAHXPp8vEjxw5otGjRys8PFyRkZGaMGGCCgsLK62/d+9eWSyWCh8vv/yyp15F+9esWePLS8FZBFgtamoLVEx4iNpGNVHX+HAltmmh3m2bq2t8uNpFNVFsuE3NQgIVGMA6dgCAb/m0B2f06NE6ePCgMjMzVVJSovHjx2vSpElavXp1hfUTEhJ08OBBr7LnnntOjzzyiIYMGeJVvmLFCqWmpnq2IyMja739OH9BAVZFhFoVEeo9v8fuPH2I69Q8H+Y1AwBqg88Czq5du5SRkaHt27erd+/ekqSnnnpK11xzjR599FHFx8eXOyYgIEBxcXFeZWvXrtWNN96opk2bepVHRkaWq4uGwxYYIFtggCLDTpUZhqETJW4Vl963p2yuzwkmNgMAashnQ1RbtmxRZGSkJ9xIUnJysqxWq7Zu3Vqtc2RlZWnnzp2aMGFCuX1TpkxRVFSU+vTpo+XLl8uo4h3QbreroKDA64H6x2KxKDQ4QC2b2pTQIkwXxzZTr4RI9WnbQj0ujFDHmKa6IDJUzZsEyRbETbgBAJXzWQ9OTk6OYmJivJ8sMFAtWrRQTk5Otc6xbNkydenSRZdffrlX+fz583X11VcrLCxM69ev1x/+8AcVFhbqzjvvrPA86enpmjdv3rldCPyOGxcCAGqqxgFn1qxZeuihh6qss2vXrnNuUJnjx49r9erVuvfee8vtO73s0ksvVVFRkR555JFKA87s2bOVlpbm2S4oKFBCQsJ5txH+xY0LAQCVqXHAmTFjhsaNG1dlnfbt2ysuLk55eXle5U6nU0eOHKnW3Jl///vfKi4u1pgxY85aNykpSQsWLJDdbpfNZiu332azVVgOc+LGhQCAGgec6OhoRUdHn7Ve3759dfToUWVlZSkxMVGStHHjRrndbiUlJZ31+GXLlul3v/tdtZ5r586dat68OSEGVeLGhQDQePhsDk6XLl2UmpqqiRMnaunSpSopKdHUqVM1atQozwqqAwcOaNCgQfrb3/6mPn36eI7dvXu3PvjgA7399tvlzvvGG28oNzdXv/71rxUSEqLMzEw98MADmjlzpq8uBSZ21hsXlvb2FNm5cSEANCQ+vQ/OqlWrNHXqVA0aNEhWq1XDhw/Xk08+6dlfUlKi7OxsFRcXex23fPlyXXjhhRo8eHC5cwYFBWnx4sWaPn26DMNQx44d9fjjj2vixIm+vBQ0MmU3Lmx6xsTmEpdbdqdbjtKH3ekq/eqWw+VWidPNvXwAoB6wGFWtrzapgoICRUREKD8/X+Hh4f5uDkzGURp2HKcFIYfL5RWMCEEAzCw+MkRtWjap9fPW5P2bz6ICalnZJGdVMSXszJ4gQhAA1C4CDuAHQQFWBQWcPQSdCj9uz1BY2bAYIQgAKkfAAeqpshDU5BxC0Onb3P8HQGNEwAEasOqEIKerfPghBAEwOwIOYHKBAVYFBlgVFlx5ndND0OmrwhxOt0pcbjndhlylj8a3LAFAQ0TAAVCtEFTGWRp43IZxMvi4DE8AcrrdpV9Lt12nyt3GyW06iwDUBQIOgBo5GYbO/Xi3u4pA5AlMJ8tdxukh6VQvEgCcDQEHQJ2yWi0KtlpKt2qelAyj8kB0egiqLEQxzAY0DgQcAA2KxWJRUIBFQefRi+Q8fV6R4T3M5mpk6cftNlTkcKrIzkeRwFwIOAAanfMdZjMrh9OtIruzNPC4VORwys4Hz6KBIuAAACSV3YU7WM2bnJpt7nS5PWHnZPhx6USJi2E+1HsEHABApQIDrIoIsyoiLMhT5iod1iq2u1Rod6rY4VSxg9CD+oWAAwCokQCrReEhQQoPORV63G5DxSUuFdudpaHHpWKHi1Vv8BsCDgDgvFmtFjW1BaqpLVAxpWWGYeh4ievkEFfp3J5ih0tOF6EHvkfAAQD4hMViUVhwoMKCAxXd7NTniZwoKQ08pXN7ih2s4ELtI+AAAOpUSFCAQoIC1LLpqTK703XanB5WcOH8EXAAAH5nCwyQLTDAawVXict9MvQ4nCouXcF13OHyYyvRkBBwAAD1UlAVK7jKhrhYwYXKEHAAAA1GVSu4Toae0iEuu5MPdm3kCDgAgAbt9BVcZcpWcBXaT96vhxVcjQ8BBwBgOqev4FKzU+UnSlxyuNwqcbpV4jJU4nKf3Ha5VeI0PN8z5NXwEXAAAI1G2QqusympIPQ4nO7TAtHJcESPUP1FwAEA4AxBAVYFBVil4Krrud2nApCnR8h5xnZpjxFzguoWAQcAgHNktVoUYj33XqEST++Qcdo2Sag2EHAAAKgDNekVKnGfDDqeYTF6hWqMgAMAQD1itVpkswbIFijJVnVdZ2no8eoRKu0hOhWKGmevEAEHAIAGKjDAqsAAKVRVD5EZhnFqcnQFk6VP7yEyyyfAE3AAADA5i8VS+nEYOmuvkMt9cmisol6hEpd3r1B9Xk5PwAEAAB4BVotCgwOq1StU1gNU1iPkKL2/UFiw/+OF/1sAAAAaHIvFouBAi4IDrf5uSoXqZ6sAAADOAwEHAACYDgEHAACYDgEHAACYDgEHAACYjs8Czv3336/LL79cYWFhioyMrNYxhmFozpw5atWqlUJDQ5WcnKxvv/3Wq86RI0c0evRohYeHKzIyUhMmTFBhYaEPrgAAADRUPgs4DodDI0aM0OTJk6t9zMMPP6wnn3xSS5cu1datW9WkSROlpKToxIkTnjqjR4/WV199pczMTL355pv64IMPNGnSJF9cAgAAaKAshuHb+xCuXLlS06ZN09GjR6usZxiG4uPjNWPGDM2cOVOSlJ+fr9jYWK1cuVKjRo3Srl271LVrV23fvl29e/eWJGVkZOiaa67Rjz/+qPj4+Gq1qaCgQBEREcrPz1d4ePh5XR8AAKgbNXn/rjc3+tuzZ49ycnKUnJzsKYuIiFBSUpK2bNmiUaNGacuWLYqMjPSEG0lKTk6W1WrV1q1bdf3111d4brvdLrvd7tnOz8+XdPKFAgAADUPZ+3Z1+mbqTcDJycmRJMXGxnqVx8bGevbl5OQoJibGa39gYKBatGjhqVOR9PR0zZs3r1x5QkLC+TYbAADUsWPHjikiIqLKOjUKOLNmzdJDDz1UZZ1du3apc+fONTmtz82ePVtpaWmebbfbrSNHjqhly5ayWCy1+lwFBQVKSEjQ/v37G8XwF9drblyvuXG95mbG6zUMQ8eOHavWlJQaBZwZM2Zo3LhxVdZp3759TU7pERcXJ0nKzc1Vq1atPOW5ubnq1auXp05eXp7XcU6nU0eOHPEcXxGbzSabzfvjU6u7sutchYeHm+YXqjq4XnPjes2N6zU3s13v2XpuytQo4ERHRys6OvqcGnQ27dq1U1xcnDZs2OAJNAUFBdq6datnJVbfvn119OhRZWVlKTExUZK0ceNGud1uJSUl+aRdAACg4fHZMvF9+/Zp586d2rdvn1wul3bu3KmdO3d63bOmc+fOWrt2raSTn0o6bdo0LVy4UOvWrdMXX3yhMWPGKD4+XsOGDZMkdenSRampqZo4caK2bdumjz76SFOnTtWoUaOqvYIKAACYn88mGc+ZM0cvvviiZ/vSSy+VJG3atEkDBgyQJGVnZ3tWNEnS3XffraKiIk2aNElHjx7VlVdeqYyMDIWEhHjqrFq1SlOnTtWgQYNktVo1fPhwPfnkk766jBqz2WyaO3duuSExs+J6zY3rNTeu19wa2/Weyef3wQEAAKhrfBYVAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQJOLVq8eLHatm2rkJAQJSUladu2bf5uks988MEHuvbaaxUfHy+LxaLXXnvN303yqfT0dF122WVq1qyZYmJiNGzYMGVnZ/u7WT6zZMkS9ejRw3MH1L59++qdd97xd7PqxIMPPui5L5dZ3XfffbJYLF6P+vYRO7XtwIEDuvnmm9WyZUuFhoaqe/fu+uSTT/zdLJ9o27ZtuZ+vxWLRlClT/N20OkXAqSUvvfSS0tLSNHfuXO3YsUM9e/ZUSkpKuY+WMIuioiL17NlTixcv9ndT6sT777+vKVOm6L///a8yMzNVUlKiwYMHq6ioyN9N84kLL7xQDz74oLKysvTJJ5/o6quv1nXXXaevvvrK303zqe3bt+vZZ59Vjx49/N0Un7vkkkt08OBBz+PDDz/0d5N85pdfftEVV1yhoKAgvfPOO/r666/12GOPqXnz5v5umk9s377d62ebmZkpSRoxYoSfW1bHDNSKPn36GFOmTPFsu1wuIz4+3khPT/djq+qGJGPt2rX+bkadysvLMyQZ77//vr+bUmeaN29uvPDCC/5uhs8cO3bMuOiii4zMzEyjf//+xl133eXvJvnM3LlzjZ49e/q7GXXmnnvuMa688kp/N8Nv7rrrLqNDhw6G2+32d1PqFD04tcDhcCgrK0vJycmeMqvVquTkZG3ZssWPLYOvlN2Bu0WLFn5uie+5XC6tWbNGRUVF6tu3r7+b4zNTpkzR0KFDvf6Ozezbb79VfHy82rdvr9GjR2vfvn3+bpLPrFu3Tr1799aIESMUExOjSy+9VM8//7y/m1UnHA6H/vGPf+iWW26RxWLxd3PqFAGnFhw+fFgul0uxsbFe5bGxscrJyfFTq+Arbrdb06ZN0xVXXKFu3br5uzk+88UXX6hp06ay2Wy6/fbbtXbtWnXt2tXfzfKJNWvWaMeOHUpPT/d3U+pEUlKSVq5cqYyMDC1ZskR79uzRVVddpWPHjvm7aT7x/fffa8mSJbrooov07rvvavLkybrzzju9Pk7IrF577TUdPXpU48aN83dT6pzPPosKMKspU6boyy+/NPWcBUnq1KmTdu7cqfz8fP373//W2LFj9f7775su5Ozfv1933XWXMjMzvT73zsyGDBni+b5Hjx5KSkpSmzZt9K9//UsTJkzwY8t8w+12q3fv3nrggQcknfxsxC+//FJLly7V2LFj/dw631q2bJmGDBnSKD+Qmh6cWhAVFaWAgADl5uZ6lefm5iouLs5PrYIvTJ06VW+++aY2bdqkCy+80N/N8ang4GB17NhRiYmJSk9PV8+ePfXEE0/4u1m1LisrS3l5efrVr36lwMBABQYG6v3339eTTz6pwMBAuVwufzfR5yIjI3XxxRdr9+7d/m6KT7Rq1apcMO/SpYuph+Uk6YcfftB7772nW2+91d9N8QsCTi0IDg5WYmKiNmzY4Clzu93asGGDqecsNCaGYWjq1Klau3atNm7cqHbt2vm7SXXO7XbLbrf7uxm1btCgQfriiy+0c+dOz6N3794aPXq0du7cqYCAAH830ecKCwv13XffqVWrVv5uik9cccUV5W7r8L///U9t2rTxU4vqxooVKxQTE6OhQ4f6uyl+wRBVLUlLS9PYsWPVu3dv9enTR4sWLVJRUZHGjx/v76b5RGFhodf/9vbs2aOdO3eqRYsWat26tR9b5htTpkzR6tWr9frrr6tZs2aeuVUREREKDQ31c+tq3+zZszVkyBC1bt1ax44d0+rVq7V582a9++67/m5arWvWrFm5uVRNmjRRy5YtTTvHaubMmbr22mvVpk0b/fTTT5o7d64CAgJ00003+btpPjF9+nRdfvnleuCBB3TjjTdq27Zteu655/Tcc8/5u2k+43a7tWLFCo0dO1aBgY30rd7fy7jM5KmnnjJat25tBAcHG3369DH++9//+rtJPrNp0yZDUrnH2LFj/d00n6joWiUZK1as8HfTfOKWW24x2rRpYwQHBxvR0dHGoEGDjPXr1/u7WXXG7MvER44cabRq1coIDg42LrjgAmPkyJHG7t27/d0sn3rjjTeMbt26GTabzejcubPx3HPP+btJPvXuu+8akozs7Gx/N8VvLIZhGP6JVgAAAL7BHBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6BBwAAGA6/x/L8wu1FCDUbwAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"38\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"39\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"40\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"41\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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tWqT09HT1799ft99+u5o0aaLnnntOxcXFevjhh3/TWGvrlltu0YMPPqhbbrlFvXv31tatWyt9Y66pmjzf0qnH69lnn9WiRYvUsWNHhYWFVdhDI53a8/bQQw9p4sSJGjhwoG666SbnaeIxMTGaOXPmeff1bNddd50WLlyoLVu2OA851fa1FRwcrLVr1+qaa65Rz549Xa5kvHPnTv3rX/86r5CSm5urL774QtOmTTv/AcK8PHPyFuB+1157reHn52cUFhZWWWfChAmGj4+PceTIEcMwDOPw4cPGiBEjDH9/fyM4ONi49dZbja+++qrCacNlZWXGHXfcYYSGhhoWi8XlVOjjx48bM2fONKKiogwfHx/j4osvNh555BGX04HLLVu2zOjVq5dhtVqN4OBgY+DAgc5Tbss9/fTTRmxsrOHj42OEh4cbU6dONX755ReXOgMHDjQuvfTSCu2Xn/L8yCOPVDr+77//3hg3bpwRERFh+Pj4GBdddJHxhz/8wXjttdecdSo7Tfybb74xEhISjObNmxshISHG5MmTjc8//7xWj5POOuXaMAxj586dRmJiotG8eXPD39/fuOqqq4xPPvnEpU75aeI7duxwKa/qNP+zlZ/affjw4SrrFBUVGZMmTTICAwONFi1aGDfeeKORm5tb5WniZ7dV3se9e/e6lJ/r+c7OzjaGDRtmtGjRwpDkPGW8qrG9+uqrzvZatmxpjBkzxvj5559d6owfP95o1qxZlY9DTXTv3t2YNGmS8/75vLYM49Rp/zNnzjQuueQSw8/Pz/D39zfi4uKM+++/38jPz3fWq+rv+WzPPvus4e/vb9hsthqNA42LxTAukFlwAIAL0j/+8Q9NmzZN+/btc7mAoKf16tVLgwYNcrmAJlCOOTgAgGqNGTNGbdq0qXRCsaekpaXpu+++U0pKiqe7ggsUe3AAAIDpsAcHAACYjlsDztatW3XttdcqKipKFoulRl+ItnnzZv3ud7+T1WpVx44dK/1G3yVLligmJkZ+fn6Kj4/X9u3b677zAACgwXJrwCksLFSPHj1qfNx27969GjZsmK666irt2rVLM2bM0C233KIPPvjAWefVV19VcnKy5s2bp507d6pHjx5KTEys9FReAADQONXbHByLxaK1a9dq+PDhVda555579O677+qrr75ylo0ePVp5eXlKS0uTdOp7Ti677DLnhdQcDoeio6N1xx13aM6cOW4dAwAAaBguqAv9ZWRkVLhsfGJiombMmCHp1CXqMzMzXWbNe3l5KSEhQRkZGVW2W1xc7HIVTofDoWPHjqlVq1Z8QRsAAA2EYRg6fvy4oqKi5OVV/UGoCyrgZGdnKzw83KUsPDxcNptNJ06c0C+//CK73V5pnfLv+qlMamqq5s+f75Y+AwCA+rV//361bt262joXVMBxl5SUFCUnJzvv5+fnq02bNtq/f3+dfL/N39P/pxWf/Ci7o+LRPm8viyb0i9HM31/ym7cDAEBjZrPZFB0d7fJlxlW5oAJORESEcnJyXMpycnIUEBCgpk2bytvbW97e3pXWiYiIqLJdq9Uqq9VaoTwgIKBOAs64gZ318qc58qpkNpPFIo0f2FkBAc1+83YAAIBqNL3kgroOTt++fbVhwwaXsvT0dOeXsPn6+iouLs6ljsPh0IYNGzz6bbLtQprpoRHd5XXG4+1tscjLIj00ortiQgg3AADUJ7fuwSkoKNCePXuc9/fu3atdu3apZcuWatOmjVJSUnTgwAG98sorkqTbbrtNTz/9tO6++27dfPPN2rhxo/7973/r3XffdbaRnJys8ePHq3fv3urTp48WL16swsJCTZw40Z1DOaeRvaPV9aIADX3iI0nSxP4xGhvflnADAIAHuDXgfPrpp7rqqquc98vnwYwfP14rVqzQoUOHtG/fPufydu3a6d1339XMmTP1xBNPqHXr1nrxxReVmJjorDNq1CgdPnxYc+fOVXZ2tnr27Km0tLQKE489oW2r02Em+feXyN/3gjoCCABAo9Eov4vKZrMpMDBQ+fn5dTIHp1xRSZm6zD11UcJvFiQScAAAqEO1ef++oObgAAAA1AUCDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMJ0mnu4AAADuVlxmV2GxXSdL7XIYRp2374Ym3cYdfTXk2miAn4+Cm/nW/YZqgYADADANwzB0stShwpIyFRaXqbDYrqKSMpXaG1ACMYMgeTzg1MshqiVLligmJkZ+fn6Kj4/X9u3bq6w7aNAgWSyWCrdhw4Y560yYMKHC8qSkpPoYCgDgAuFwGCooLlOu7aT2HinUVwfytePHX7Rrf56+yynQwbyTyj9RSrhppNy+B+fVV19VcnKyli5dqvj4eC1evFiJiYnKyspSWFhYhfpvvPGGSkpKnPePHj2qHj16aOTIkS71kpKStHz5cud9q9XqvkEAADzK/muYKSo5vVemqMTeoA4NoX65PeA8/vjjmjx5siZOnChJWrp0qd59910tW7ZMc+bMqVC/ZcuWLvdXr14tf3//CgHHarUqIiLCfR0HAHhESZnjVJApsf96mKlMJ0sdnu4WGhi3BpySkhJlZmYqJSXFWebl5aWEhARlZGTUqI2XXnpJo0ePVrNmzVzKN2/erLCwMAUHB+vqq6/WokWL1KpVq0rbKC4uVnFxsfO+zWY7j9EAAOraydJTIaaoxO6cN1NSxm4Z/HZuDThHjhyR3W5XeHi4S3l4eLi+/fbbc66/fft2ffXVV3rppZdcypOSkvSnP/1J7dq10/fff6+//OUvGjp0qDIyMuTt7V2hndTUVM2fP/+3DQYAcN4Mw9CJUvupw0zFp8JMUYldZcyPgZtc0GdRvfTSS+rWrZv69OnjUj569Gjn7926dVP37t3VoUMHbd68WYMHD67QTkpKipKTk533bTaboqOj3ddxAGjE7A7DOUemPNAUlZTJQZZBPXJrwAkJCZG3t7dycnJcynNycs45f6awsFCrV6/WggULzrmd9u3bKyQkRHv27Kk04FitViYhA4AblNkdKnTukTk1AfhEKZN/4XluDTi+vr6Ki4vThg0bNHz4cEmSw+HQhg0bNH369GrXXbNmjYqLizV27Nhzbufnn3/W0aNHFRkZWRfdBgBUorjMrqLiX/fK/DpnppjJv7hAuf0QVXJyssaPH6/evXurT58+Wrx4sQoLC51nVY0bN04XXXSRUlNTXdZ76aWXNHz48AoThwsKCjR//nyNGDFCERER+v7773X33XerY8eOSkxMdPdwAMD0zrxY3ulAw8Xy0LC4PeCMGjVKhw8f1ty5c5Wdna2ePXsqLS3NOfF437598vJyvd5gVlaWPvroI61fv75Ce97e3vriiy/08ssvKy8vT1FRURoyZIgWLlzIYSgAqCWH49Tk38Li06dlF5XYZWfCDBo4i2E0viOlNptNgYGBys/PV0BAQJ21W1RSpi5zP5AkfbMgUf6+F/QcbgAe4nAYchinvr3HYRgyjFPfD+QwjF9vks64X1W9Cvd1au+Lwzhd/1z17A6D+TKoc1FBfmrbqtm5K9ZSbd6/eQcGYApG+Ru5Tr95Gzr95u2oZLnOqHP6jd91fYdxKpAYZ953hoYz6jnO3EYV9cq3C8DtCDgAKv3UL7mGgvLfdcYbuHFWKHD+fuby6gKGKrZfvv7Zv58ZQORs33W7AFCOgAPUg+oChMsn+0oOS5wqO/0G73BUsa6qPzThGiIqBhQAMBMCjkkUlZQpx1bsUna+06vOZ63zf4M8zz6e5/bOt5tnbs9lj0INAgSHJACg/hFwTKK41KHs/JOe7gYAABcEr3NXAQAAaFgIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHTqJeAsWbJEMTEx8vPzU3x8vLZv315l3RUrVshisbjc/Pz8XOoYhqG5c+cqMjJSTZs2VUJCgr777jt3DwMAADQQbg84r776qpKTkzVv3jzt3LlTPXr0UGJionJzc6tcJyAgQIcOHXLefvrpJ5flDz/8sJ588kktXbpU27ZtU7NmzZSYmKiTJ0+6ezgAAKABcHvAefzxxzV58mRNnDhRXbp00dKlS+Xv769ly5ZVuY7FYlFERITzFh4e7lxmGIYWL16sv/3tb7ruuuvUvXt3vfLKKzp48KDefPNNdw8HAAA0AG4NOCUlJcrMzFRCQsLpDXp5KSEhQRkZGVWuV1BQoLZt2yo6OlrXXXedvv76a+eyvXv3Kjs726XNwMBAxcfHV9lmcXGxbDabyw0AAJiXWwPOkSNHZLfbXfbASFJ4eLiys7MrXadTp05atmyZ3nrrLf3zn/+Uw+FQv3799PPPP0uSc73atJmamqrAwEDnLTo6+rcODQAAXMAuuLOo+vbtq3Hjxqlnz54aOHCg3njjDYWGhuq555477zZTUlKUn5/vvO3fv78OewwAAC40bg04ISEh8vb2Vk5Ojkt5Tk6OIiIiatSGj4+PevXqpT179kiSc73atGm1WhUQEOByAwAA5uXWgOPr66u4uDht2LDBWeZwOLRhwwb17du3Rm3Y7XZ9+eWXioyMlCS1a9dOERERLm3abDZt27atxm0CAABza+LuDSQnJ2v8+PHq3bu3+vTpo8WLF6uwsFATJ06UJI0bN04XXXSRUlNTJUkLFizQ5Zdfro4dOyovL0+PPPKIfvrpJ91yyy2STp1hNWPGDC1atEgXX3yx2rVrp3vvvVdRUVEaPny4u4cDAAAaALcHnFGjRunw4cOaO3eusrOz1bNnT6WlpTknCe/bt09eXqd3JP3yyy+aPHmysrOzFRwcrLi4OH3yySfq0qWLs87dd9+twsJCTZkyRXl5eerfv7/S0tIqXBAQAAA0ThbDMAxPd6K+2Ww2BQYGKj8/v07n4xSVlKnL3A8kSd8sSJS/r9vzo9MvhSX6Nvt4vW0PAICqRAX5qW2rZnXebm3evy+4s6gAAAB+KwIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwnXoJOEuWLFFMTIz8/PwUHx+v7du3V1n3hRde0JVXXqng4GAFBwcrISGhQv0JEybIYrG43JKSktw9DAAA0EC4PeC8+uqrSk5O1rx587Rz50716NFDiYmJys3NrbT+5s2bddNNN2nTpk3KyMhQdHS0hgwZogMHDrjUS0pK0qFDh5y3f/3rX+4eCgAAaCDcHnAef/xxTZ48WRMnTlSXLl20dOlS+fv7a9myZZXWX7lypW6//Xb17NlTsbGxevHFF+VwOLRhwwaXelarVREREc5bcHCwu4cCAAAaCLcGnJKSEmVmZiohIeH0Br28lJCQoIyMjBq1UVRUpNLSUrVs2dKlfPPmzQoLC1OnTp00depUHT16tMo2iouLZbPZXG4AAMC83Bpwjhw5IrvdrvDwcJfy8PBwZWdn16iNe+65R1FRUS4hKSkpSa+88oo2bNighx56SFu2bNHQoUNlt9srbSM1NVWBgYHOW3R09PkPCgAAXPCaeLoD1XnwwQe1evVqbd68WX5+fs7y0aNHO3/v1q2bunfvrg4dOmjz5s0aPHhwhXZSUlKUnJzsvG+z2Qg5AACYmFv34ISEhMjb21s5OTku5Tk5OYqIiKh23UcffVQPPvig1q9fr+7du1dbt3379goJCdGePXsqXW61WhUQEOByAwAA5uXWgOPr66u4uDiXCcLlE4b79u1b5XoPP/ywFi5cqLS0NPXu3fuc2/n555919OhRRUZG1km/AQBAw+b2s6iSk5P1wgsv6OWXX9bu3bs1depUFRYWauLEiZKkcePGKSUlxVn/oYce0r333qtly5YpJiZG2dnZys7OVkFBgSSpoKBAf/7zn/Xf//5XP/74ozZs2KDrrrtOHTt2VGJioruHAwAAGgC3z8EZNWqUDh8+rLlz5yo7O1s9e/ZUWlqac+Lxvn375OV1Omc9++yzKikp0Q033ODSzrx583TffffJ29tbX3zxhV5++WXl5eUpKipKQ4YM0cKFC2W1Wt09HAAA0ABYDMMwPN2J+maz2RQYGKj8/Pw6nY9TVFKmLnM/kCR9syBR/r71N4f7l8ISfZt9vN62BwBAVaKC/NS2VbM6b7c27998FxUAADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADCdJp7uANBQHMo/oc1Zh3W4oFihza0a1ClUkYFNPd0tAEAlCDhADWzOytXz//lBFkmGJIukt784qFsHtNfAS8I83DsAwNk4RAWcw6H8E3r+Pz/IMCSHIZefz239Qdn5Jz3dRQDAWQg4wDlszjosSxXLLJI2ZeXWZ3cAADVAwAHO4XBBsYwqlhm/LgcAXFgIOMA5hDa3VrsHJ7S5tT67AwCoAQIOcA6DOoVWuwfnqk5MMgaACw0BBziHyMCmunVAe1nO2I3jZZEsFunWAe0VEejnuc4BACrFaeJADQy8JEwxrZppzhtfSpKSukbo950jCDcAcIEi4AA1FB5wOsyMjIuWn4+3B3sDAKgOh6gAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDpEHAAAIDp1EvAWbJkiWJiYuTn56f4+Hht37692vpr1qxRbGys/Pz81K1bN7333nsuyw3D0Ny5cxUZGammTZsqISFB3333nTuHAAAAGhC3f9nmq6++quTkZC1dulTx8fFavHixEhMTlZWVpbCwsAr1P/nkE910001KTU3VH/7wB61atUrDhw/Xzp071bVrV0nSww8/rCeffFIvv/yy2rVrp3vvvVeJiYn65ptv5OdX8293LiopU5OSsjoba9EZbRXVYbs1caLErpOl9nrdZmNTfMbjW8xjDQBVOlFid8v7YG3atBiGYdR5D84QHx+vyy67TE8//bQkyeFwKDo6WnfccYfmzJlTof6oUaNUWFiod955x1l2+eWXq2fPnlq6dKkMw1BUVJRmzZql2bNnS5Ly8/MVHh6uFStWaPTo0RXaLC4uVnFxsfO+zWZTdHS0omf8W15W/7oeMgAAcANHcZH2L75R+fn5CggIqLauWw9RlZSUKDMzUwkJCac36OWlhIQEZWRkVLpORkaGS31JSkxMdNbfu3evsrOzXeoEBgYqPj6+yjZTU1MVGBjovEVHR//WoQEAgAuYWw9RHTlyRHa7XeHh4S7l4eHh+vbbbytdJzs7u9L62dnZzuXlZVXVOVtKSoqSk5Od98v34Gz/6+BzJsCGIq+wVFk5x+t1m8Wldt22cqckaemY38nq412v24d7Nbbnl/Gae7z7jhZq3tvfSJISu4RrUGyYIgJqPqWhofH08xsZ6Kc2rer+CInNZlPk4prVdfscnAuB1WqV1WqtUO7v20T+vuZ4CIpLHfKr5z/gbNtJ5+/rvjiohM7higxsWq99QP2w+njX+9+XJzFec9mclavn//OD83767hyt352jWwe018BLKs4FNRtPPL9Nfb3d8v5aVos23XqIKiQkRN7e3srJyXEpz8nJUURERKXrREREVFu//Gdt2kTd25yVq7+s/dJ5P+2rbM1a87m2/C/Xg70CAFeH8k/o+f/8oDNnmzoMyTCk57b+oOz8k1Wv3ICd+QF0TeZ+Hco/4cHeeIZbA46vr6/i4uK0YcMGZ5nD4dCGDRvUt2/fStfp27evS31JSk9Pd9Zv166dIiIiXOrYbDZt27atyjZRtxrrPwwADc/mrMOyVLHMImlTlvk+lPEB9BS3XwcnOTlZL7zwgl5++WXt3r1bU6dOVWFhoSZOnChJGjdunFJSUpz177rrLqWlpemxxx7Tt99+q/vuu0+ffvqppk+fLkmyWCyaMWOGFi1apHXr1unLL7/UuHHjFBUVpeHDh7t7OFDj/IcBoGE6XFCsqk4VNn5dbiZ8AD3N7RNQRo0apcOHD2vu3LnKzs5Wz549lZaW5pwkvG/fPnl5nc5Z/fr106pVq/S3v/1Nf/nLX3TxxRfrzTffdF4DR5LuvvtuFRYWasqUKcrLy1P//v2VlpZWq2vg4Pw1tn8YABqu0OZWWaRK/2dZfl1uJuUfQKsa76asXN3Up00998oz6mWG7fTp0517YM62efPmCmUjR47UyJEjq2zPYrFowYIFWrBgQV11EbXQ2P5hAGi4BnUK1dtfHKx0mSHpqk7mmmTMB9DT+C4q1NqgTqHVvoDM9g8DQMMVGdhUtw5oL4tF8rLI5eetA9orItBce/7LP4BWprF9ADXHOdKoV+X/MJ7b+oNzT075TzP+wwDQsA28JEydwgO0KStXhwuKFdrcqqs6hZnyf1Vj22NVHQIOzktj+ocBoOGLCPRrFHNP+AB6GgEH562x/MMAgIaED6CnEHAAADAZPoAyyRgAAJgQAQdApbjUO4CGjIADoAIu9Q6goSPgAHDBpd4BmAEBB4CLxvpdYxySA8yFgAPARWO81DuH5ADzIeAAcNHYLvXOITnAnAg4AFw0tu8aa6yH5ACzI+AAcNHYvpywMR6SAxoDrmQMoILGdKn38kNylYUcMx6SAxoLAg6ASjWWS73z7cuAOXGICkCj1tgOyQGNBXtwADR6jemQHNBYEHAAQI3nkBzQWHCICgAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmA4BBwAAmI5bA86xY8c0ZswYBQQEKCgoSJMmTVJBQUG19e+44w516tRJTZs2VZs2bXTnnXcqPz/fpZ7FYqlwW716tTuHAgAAGpAm7mx8zJgxOnTokNLT01VaWqqJEydqypQpWrVqVaX1Dx48qIMHD+rRRx9Vly5d9NNPP+m2227TwYMH9dprr7nUXb58uZKSkpz3g4KC3DkUAADQgLgt4OzevVtpaWnasWOHevfuLUl66qmndM011+jRRx9VVFRUhXW6du2q119/3Xm/Q4cOuv/++zV27FiVlZWpSZPT3Q0KClJERIS7ug8AABowtx2iysjIUFBQkDPcSFJCQoK8vLy0bdu2GreTn5+vgIAAl3AjSdOmTVNISIj69OmjZcuWyTCMKtsoLi6WzWZzuQEAAPNy2x6c7OxshYWFuW6sSRO1bNlS2dnZNWrjyJEjWrhwoaZMmeJSvmDBAl199dXy9/fX+vXrdfvtt6ugoEB33nlnpe2kpqZq/vz55zcQAADQ4NR6D86cOXMqneR75u3bb7/9zR2z2WwaNmyYunTpovvuu89l2b333qsrrrhCvXr10j333KO7775bjzzySJVtpaSkKD8/33nbv3//b+4fAAC4cNV6D86sWbM0YcKEauu0b99eERERys3NdSkvKyvTsWPHzjl35vjx40pKSlKLFi20du1a+fj4VFs/Pj5eCxcuVHFxsaxWa4XlVqu10nIAAGBOtQ44oaGhCg0NPWe9vn37Ki8vT5mZmYqLi5Mkbdy4UQ6HQ/Hx8VWuZ7PZlJiYKKvVqnXr1snPz++c29q1a5eCg4MJMQAAQJIb5+B07txZSUlJmjx5spYuXarS0lJNnz5do0ePdp5BdeDAAQ0ePFivvPKK+vTpI5vNpiFDhqioqEj//Oc/XSYEh4aGytvbW2+//bZycnJ0+eWXy8/PT+np6XrggQc0e/Zsdw0FAAA0MG69Ds7KlSs1ffp0DR48WF5eXhoxYoSefPJJ5/LS0lJlZWWpqKhIkrRz507nGVYdO3Z0aWvv3r2KiYmRj4+PlixZopkzZ8owDHXs2FGPP/64Jk+e7M6hAACABsStAadly5ZVXtRPkmJiYlxO7x40aFC1p3tLUlJSkssF/gAAAM7Gd1EBQCOUbTvp/H1N5n4dyj/hwd4AdY+AAwCNzOasXP1l7ZfO+2lfZWvWms+15X+51awFNCwEHABoRA7ln9Dz//lBZ84GcBiSYUjPbf1B2fknq14ZaEAIOADQiGzOOixLFcsskjZlsRcH5kDAAYBG5HBBsao6lcP4dTlgBgQcAGhEQptbq92DE9qcC6bCHAg4ANCIDOoUWu0enKs6hVWxFGhYCDgA0IhEBjbVrQPay2KRvCxy+XnrgPaKCDz31+MADYFbL/QHALjwDLwkTJ3CA7QpK1eHC4oV2tyqqzqFEW5gKgQcAGiEIgL9dFOfNp7uBuA2HKICAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACm49aAc+zYMY0ZM0YBAQEKCgrSpEmTVFBQUO06gwYNksVicbnddtttLnX27dunYcOGyd/fX2FhYfrzn/+ssrIydw4FAAA0IE3c2fiYMWN06NAhpaenq7S0VBMnTtSUKVO0atWqatebPHmyFixY4Lzv7+/v/N1ut2vYsGGKiIjQJ598okOHDmncuHHy8fHRAw884LaxAACAhsNtAWf37t1KS0vTjh071Lt3b0nSU089pWuuuUaPPvqooqKiqlzX399fERERlS5bv369vvnmG3344YcKDw9Xz549tXDhQt1zzz2677775Ovr65bxAACAhsNth6gyMjIUFBTkDDeSlJCQIC8vL23btq3adVeuXKmQkBB17dpVKSkpKioqcmm3W7duCg8Pd5YlJibKZrPp66+/rrS94uJi2Ww2lxsAADAvt+3Byc7OVlhYmOvGmjRRy5YtlZ2dXeV6//d//6e2bdsqKipKX3zxhe655x5lZWXpjTfecLZ7ZriR5LxfVbupqamaP3/+bxkOAABoQGodcObMmaOHHnqo2jq7d+8+7w5NmTLF+Xu3bt0UGRmpwYMH6/vvv1eHDh3Oq82UlBQlJyc779tsNkVHR593HwEAwIWt1gFn1qxZmjBhQrV12rdvr4iICOXm5rqUl5WV6dixY1XOr6lMfHy8JGnPnj3q0KGDIiIitH37dpc6OTk5klRlu1arVVartcbbBAAADVutA05oaKhCQ0PPWa9v377Ky8tTZmam4uLiJEkbN26Uw+Fwhpaa2LVrlyQpMjLS2e7999+v3Nxc5yGw9PR0BQQEqEuXLrUcDQAAMCO3TTLu3LmzkpKSNHnyZG3fvl0ff/yxpk+frtGjRzvPoDpw4IBiY2Ode2S+//57LVy4UJmZmfrxxx+1bt06jRs3TgMGDFD37t0lSUOGDFGXLl30//7f/9Pnn3+uDz74QH/72980bdo09tIAAABJbr7Q38qVKxUbG6vBgwfrmmuuUf/+/fX88887l5eWliorK8t5lpSvr68+/PBDDRkyRLGxsZo1a5ZGjBiht99+27mOt7e33nnnHXl7e6tv374aO3asxo0b53LdHAAA0LhZDMMwPN2J+maz2RQYGKj8/HwFBAR4ujt14pfCEn2bfdzT3QAAQFFBfmrbqlmdt1ub92++iwoAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJgOAQcAAJhOE093AHXDz8dbFwU1dSkzZJxXW8Z5rHZ+W5KM89nYb9reea54xhYN49Q9h2HIME7/dP7uXFa+/NQ4Hee9bQBAbRFwTKKpr7fatPL3dDdwDg6HUXk4kuEahH5ddmZg0q9hyVn2a2JyGGet+2tb5w5gp9chgAEwGwIOUI+8vCySJG9ZPNyTyp0deBy/7vI6O4QZkgzHqbKz92gZOh3GXJY7qmnr7N9lyHFG+3Jp3zXMndl++foAQMAB4GSxWORtkXSBBrCaOjOolYeeasNa+e9nhLWz95rV5FBkbeoRxAD3IuAAMJ2GENROBx7DZW/X2Ycca1LvzEORLuX69b7Ddb0z69kdhuwcn4QJEXAAwAMsFossFsnrAghhJ0vtKiguU1GxXYUlZSosLlOpndCDho2AAwCNnJ+Pt/x8vKXmp8uKy+xnBJ5TP4tLHZ7rJFBLbr0OzrFjxzRmzBgFBAQoKChIkyZNUkFBQZX1f/zxx18/1VS8rVmzxlmvsuWrV69251AAoFGxNvFWcDNftQ72V6eIFvpdm2BdFhOsLlEBatvKX6EtfOXv6y2L53dAAZVy6x6cMWPG6NChQ0pPT1dpaakmTpyoKVOmaNWqVZXWj46O1qFDh1zKnn/+eT3yyCMaOnSoS/ny5cuVlJTkvB8UFFTn/QcAnNbE20uBTb0U2NTHWeZwGCosKVNRiV2Fxad/Mq0Hnua2gLN7926lpaVpx44d6t27tyTpqaee0jXXXKNHH31UUVFRFdbx9vZWRESES9natWt14403qnnz5i7lQUFBFeoCAOqXl5dFLfx81MLvdOgxDEMnSu2nDm0VlzkDUBnzelCP3HaIKiMjQ0FBQc5wI0kJCQny8vLStm3batRGZmamdu3apUmTJlVYNm3aNIWEhKhPnz5atmxZtVfELS4uls1mc7kBANzDYrHI37eJQltYFRPSTJdGBeqymJbq1SZIl4Q3V+vgpgpu5iPfJnxbENzHbXtwsrOzFRYW5rqxJk3UsmVLZWdn16iNl156SZ07d1a/fv1cyhcsWKCrr75a/v7+Wr9+vW6//XYVFBTozjvvrLSd1NRUzZ8///wGAgCoE+WTmVudUVZS5lBRSZkKS+wqKi5TQXGZTjKZGXWg1gFnzpw5euihh6qts3v37vPuULkTJ05o1apVuvfeeyssO7OsV69eKiws1COPPFJlwElJSVFycrLzvs1mU3R09G/uIwDgt/Ft4iXfJr4KOuObZuzl83qKfz19/ddDXFwcEbVR64Aza9YsTZgwodo67du3V0REhHJzc13Ky8rKdOzYsRrNnXnttddUVFSkcePGnbNufHy8Fi5cqOLiYlmt1grLrVZrpeUAgAuPt5dFAX4+CvBzncxcVHpqL0/hGROauUghqlLrgBMaGqrQ0NBz1uvbt6/y8vKUmZmpuLg4SdLGjRvlcDgUHx9/zvVfeukl/fGPf6zRtnbt2qXg4GBCDACYlJeXRc2tTdTcevptyzAMnSx1VNjbw0UKIblxDk7nzp2VlJSkyZMna+nSpSotLdX06dM1evRo5xlUBw4c0ODBg/XKK6+oT58+znX37NmjrVu36r333qvQ7ttvv62cnBxdfvnl8vPzU3p6uh544AHNnj3bXUMBAFyALBaLmvp6q6lv5RcpLCg/bZ2LFDZKbr0OzsqVKzV9+nQNHjxYXl5eGjFihJ588knn8tLSUmVlZamoqMhlvWXLlql169YaMmRIhTZ9fHy0ZMkSzZw5U4ZhqGPHjnr88cc1efJkdw4FANBAWJt4Oy9UWK7U7lBRsV0nSu2nvvG+jrljfpC79kNVd9bx+bfpev/Mw4ueYjHcMdILnM1mU2BgoPLz8xUQEODp7gAAgBqozfs3FyEAAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACm47aAc//996tfv37y9/dXUFBQjdYxDENz585VZGSkmjZtqoSEBH333XcudY4dO6YxY8YoICBAQUFBmjRpkgoKCtwwAgAA0FC5LeCUlJRo5MiRmjp1ao3Xefjhh/Xkk09q6dKl2rZtm5o1a6bExESdPHnSWWfMmDH6+uuvlZ6ernfeeUdbt27VlClT3DEEAADQQFkMwzDcuYEVK1ZoxowZysvLq7aeYRiKiorSrFmzNHv2bElSfn6+wsPDtWLFCo0ePVq7d+9Wly5dtGPHDvXu3VuSlJaWpmuuuUY///yzoqKiatQnm82mwMBA5efnKyAg4DeNDwAA1I/avH83qac+ndPevXuVnZ2thIQEZ1lgYKDi4+OVkZGh0aNHKyMjQ0FBQc5wI0kJCQny8vLStm3bdP3111fadnFxsYqLi5338/PzJZ16oAAAQMNQ/r5dk30zF0zAyc7OliSFh4e7lIeHhzuXZWdnKywszGV5kyZN1LJlS2edyqSmpmr+/PkVyqOjo39rtwEAQD07fvy4AgMDq61Tq4AzZ84cPfTQQ9XW2b17t2JjY2vTrNulpKQoOTnZed/hcOjYsWNq1aqVLBZLnW7LZrMpOjpa+/fvbxSHvxivuTFec2O85mbG8RqGoePHj9doSkqtAs6sWbM0YcKEauu0b9++Nk06RURESJJycnIUGRnpLM/JyVHPnj2ddXJzc13WKysr07Fjx5zrV8ZqtcpqtbqU1fTMrvMVEBBgmj+ommC85sZ4zY3xmpvZxnuuPTflahVwQkNDFRoael4dOpd27dopIiJCGzZscAYam82mbdu2Oc/E6tu3r/Ly8pSZmam4uDhJ0saNG+VwOBQfH++WfgEAgIbHbaeJ79u3T7t27dK+fftkt9u1a9cu7dq1y+WaNbGxsVq7dq0kyWKxaMaMGVq0aJHWrVunL7/8UuPGjVNUVJSGDx8uSercubOSkpI0efJkbd++XR9//LGmT5+u0aNH1/gMKgAAYH5um2Q8d+5cvfzyy877vXr1kiRt2rRJgwYNkiRlZWU5z2iSpLvvvluFhYWaMmWK8vLy1L9/f6WlpcnPz89ZZ+XKlZo+fboGDx4sLy8vjRgxQk8++aS7hlFrVqtV8+bNq3BIzKwYr7kxXnNjvObW2MZ7NrdfBwcAAKC+8V1UAADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4dWjJkiWKiYmRn5+f4uPjtX37dk93yW22bt2qa6+9VlFRUbJYLHrzzTc93SW3Sk1N1WWXXaYWLVooLCxMw4cPV1ZWlqe75TbPPvusunfv7rwCat++ffX+++97ulv14sEHH3Rel8us7rvvPlksFpfbhfYVO3XtwIEDGjt2rFq1aqWmTZuqW7du+vTTTz3dLbeIiYmp8PxaLBZNmzbN012rVwScOvLqq68qOTlZ8+bN086dO9WjRw8lJiZW+GoJsygsLFSPHj20ZMkST3elXmzZskXTpk3Tf//7X6Wnp6u0tFRDhgxRYWGhp7vmFq1bt9aDDz6ozMxMffrpp7r66qt13XXX6euvv/Z019xqx44deu6559S9e3dPd8XtLr30Uh06dMh5++ijjzzdJbf55ZdfdMUVV8jHx0fvv/++vvnmGz322GMKDg72dNfcYseOHS7PbXp6uiRp5MiRHu5ZPTNQJ/r06WNMmzbNed9utxtRUVFGamqqB3tVPyQZa9eu9XQ36lVubq4hydiyZYunu1JvgoODjRdffNHT3XCb48ePGxdffLGRnp5uDBw40Ljrrrs83SW3mTdvntGjRw9Pd6Pe3HPPPUb//v093Q2Pueuuu4wOHToYDofD012pV+zBqQMlJSXKzMxUQkKCs8zLy0sJCQnKyMjwYM/gLuVX4G7ZsqWHe+J+drtdq1evVmFhofr27evp7rjNtGnTNGzYMJfXsZl99913ioqKUvv27TVmzBjt27fP011ym3Xr1ql3794aOXKkwsLC1KtXL73wwgue7la9KCkp0T//+U/dfPPNslgsnu5OvSLg1IEjR47IbrcrPDzcpTw8PFzZ2dke6hXcxeFwaMaMGbriiivUtWtXT3fHbb788ks1b95cVqtVt912m9auXasuXbp4ultusXr1au3cuVOpqame7kq9iI+P14oVK5SWlqZnn31We/fu1ZVXXqnjx497umtu8cMPP+jZZ5/VxRdfrA8++EBTp07VnXfe6fJ1Qmb15ptvKi8vTxMmTPB0V+qd276LCjCradOm6auvvjL1nAVJ6tSpk3bt2qX8/Hy99tprGj9+vLZs2WK6kLN//37dddddSk9Pd/neOzMbOnSo8/fu3bsrPj5ebdu21b///W9NmjTJgz1zD4fDod69e+uBBx6QdOq7Eb/66istXbpU48eP93Dv3Oull17S0KFDG+UXUrMHpw6EhITI29tbOTk5LuU5OTmKiIjwUK/gDtOnT9c777yjTZs2qXXr1p7ujlv5+vqqY8eOiouLU2pqqnr06KEnnnjC092qc5mZmcrNzdXvfvc7NWnSRE2aNNGWLVv05JNPqkmTJrLb7Z7uotsFBQXpkksu0Z49ezzdFbeIjIysEMw7d+5s6sNykvTTTz/pww8/1C233OLprngEAacO+Pr6Ki4uThs2bHCWORwObdiwwdRzFhoTwzA0ffp0rV27Vhs3blS7du083aV653A4VFxc7Olu1LnBgwfryy+/1K5du5y33r17a8yYMdq1a5e8vb093UW3Kygo0Pfff6/IyEhPd8UtrrjiigqXdfjf//6ntm3beqhH9WP58uUKCwvTsGHDPN0Vj+AQVR1JTk7W+PHj1bt3b/Xp00eLFy9WYWGhJk6c6OmuuUVBQYHLp729e/dq165datmypdq0aePBnrnHtGnTtGrVKr311ltq0aKFc25VYGCgmjZt6uHe1b2UlBQNHTpUbdq00fHjx7Vq1Spt3rxZH3zwgae7VudatGhRYS5Vs2bN1KpVK9POsZo9e7auvfZatW3bVgcPHtS8efPk7e2tm266ydNdc4uZM2eqX79+euCBB3TjjTdq+/btev755/X88897umtu43A4tHz5co0fP15NmjTSt3pPn8ZlJk899ZTRpk0bw9fX1+jTp4/x3//+19NdcptNmzYZkircxo8f7+muuUVlY5VkLF++3NNdc4ubb77ZaNu2reHr62uEhoYagwcPNtavX+/pbtUbs58mPmrUKCMyMtLw9fU1LrroImPUqFHGnj17PN0tt3r77beNrl27Glar1YiNjTWef/55T3fJrT744ANDkpGVleXprniMxTAMwzPRCgAAwD2YgwMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEzn/wP4xroDjjIC/AAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"42\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"43\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"44\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"45\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"46\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"47\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"48\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"49\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"50\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"51\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"52\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"53\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"54\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"55\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"56\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"57\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"58\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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FCxcqPT1dV1xxhW6//Xb5+Pjo+eefV3FxsR555JFz2ta6uuWWW/TQQw/plltuUZ8+fbRly5ZKP5hrqzY/b+nk+/Xcc89p4cKF6tKliyIiIirsoZFO7nl7+OGHNWnSJA0cOFA33nij8zTxDh06aObMmWdd65muvfZaLViwQJs3b3Yecqrr31ZoaKjWrFmjq6++Wr1793a5kvGOHTv073//+6xCSm5urr744gtNnz797DcQ5uWZk7cA97vmmmsMf39/o7CwsMo+EydONHx9fY1Dhw4ZhmEYeXl5xqhRo4yAgAAjNDTUuPXWW42vvvqqwmnDZWVlxh133GGEh4cbFovF5VToY8eOGTNnzjSio6MNX19f44ILLjAeffRRl9OByy1dutS45JJLDKvVaoSGhhoDBw50nnJb7plnnjFiY2MNX19fIzIy0pg2bZrx66+/uvQZOHCgcfHFF1cYv/yU50cffbTS7f/hhx+M8ePHG1FRUYavr69x3nnnGX/4wx+M//73v84+lZ0m/s033xgJCQlGYGCgERYWZkyZMsX4/PPP6/Q+6YxTrg3DMHbs2GEkJiYagYGBRkBAgDF48GDjk08+celTfpr49u3bXdqrOs3/TOWndufl5VXZp6ioyJg8ebIRHBxstGrVyrjhhhuM3NzcKk8TP3Os8hr37Nnj0l7Tzzs7O9sYMWKE0apVK0OS85Txqrbt1VdfdY7XunVrY9y4ccbPP//s0mfChAlGy5Ytq3wfaqNnz57G5MmTnc/P5m/LME6e9j9z5kzjwgsvNPz9/Y2AgAAjLi7OeOCBB4z8/Hxnv6p+n8/03HPPGQEBAYbNZqvVdqB5sRhGI5kFBwBolP75z39q+vTp2rdvn8sFBD3tkksu0aBBg1wuoAmUYw4OAKBa48aNU7t27SqdUOwpaWlp+v7775WSkuLpUtBIsQcHAACYDntwAACA6bg14GzZskXXXHONoqOjZbFYanVDtE2bNul3v/udrFarunTpUukdfRcvXqwOHTrI399f8fHx2rZtW/0XDwAAmiy3BpzCwkL16tWr1sdt9+zZoxEjRmjw4MHauXOnZsyYoVtuuUXvv/++s8+rr76q5ORkzZ07Vzt27FCvXr2UmJhY6am8AACgeWqwOTgWi0Vr1qzRyJEjq+xzzz336J133tFXX33lbBs7dqyOHj2qtLQ0SSfvc3LppZc6L6TmcDgUExOjO+64Q/fee69btwEAADQNjepCfxkZGRUuG5+YmKgZM2ZIOnmJ+szMTJdZ815eXkpISFBGRkaV4xYXF7tchdPhcOjIkSNq06YNN2gDAKCJMAxDx44dU3R0tLy8qj8I1agCTnZ2tiIjI13aIiMjZbPZdPz4cf3666+y2+2V9im/109lUlNTNW/ePLfUDAAAGtb+/ft1/vnnV9unUQUcd0lJSVFycrLzeX5+vtq1a6f9+/fXy/1t/p7+nZZ/sld2R8Wjfd5eFk3s30Ezf3/hOb8OAADNmc1mU0xMjMvNjKvSqAJOVFSUcnJyXNpycnIUFBSkFi1ayNvbW97e3pX2iYqKqnJcq9Uqq9VaoT0oKKheAs74gRfp5U9z5FXJbCaLRZow8CIFBbU859cBAACq1fSSRnUdnH79+mn9+vUubenp6c6bsPn5+SkuLs6lj8Ph0Pr16z16N9mOYS318Kie8jrt/fa2WORlkR4e1VMdwgg3AAA0JLfuwSkoKNDu3budz/fs2aOdO3eqdevWateunVJSUnTgwAG98sorkqTbbrtNzzzzjO6++27dfPPN2rBhg/7zn//onXfecY6RnJysCRMmqE+fPurbt68WLVqkwsJCTZo0yZ2bUqPRfWLU/bwgDX/yI0nSpCs66Kb49oQbAAA8wK0B59NPP9XgwYOdz8vnwUyYMEHLly/XwYMHtW/fPufyjh076p133tHMmTP15JNP6vzzz9c//vEPJSYmOvuMGTNGeXl5mjNnjrKzs9W7d2+lpaVVmHjsCe3bnAozyb+/UAF+jeoIIAAAzUazvBeVzWZTcHCw8vPz62UOTrmikjJ1m3PyooTfzE8k4AAAUI/q8vndqObgAAAA1AcCDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB3uJQAAAM6aYRgqLnPoRKnd+TXAz0fhrawerYuAAwAAqmV3GC4B5uTDoeKyk21n3tUyOsRfEgEHAAB4WKnd4Qwup4eZ4jK7Ssqa3n25CTgAADQD5YeSiksdOlFmd34tDzV2R9MLMdUh4AAAYBIOh3FGeDl1SKmyQ0lmRsABAKAJKbU7Kp0Lc6LUoZIyh6fLazQIOAAANDLlgaXYZWLvyb0yZfZmtBvmHBBwAABoYA5HxVOrT5wWakw2HcYjCDgAALhB2emHkspc58KUNLP5MJ5AwAEA4CyVlJ06E6n4tLkwJ0rtKuVQkkcRcAAAqMLpV+k9cUaAKS4z36nVZkLAAQA0a3W9Si+aBgIOAMD0yg8lFZeeujpveYhpilfpRc0IOACAJq98Qu/pZyYVc1ZSs0bAAQA0eg6HoRL7aeHltNsNFJcxoRcVEXAAAI1C+ZyXU2ckndoLU2pnLgzqhoADAGgQZXaHTpS5Xp23/LASh5FQ3wg4AIB6UX513tMn8J4eZLjFABoSAQcAUCuGUT4P5rfwUnp6mOFGj2hcCDgAAKfyO1UX/3Z7gdMPJ5WUOTiMhCaDgANA0sn5EWUOQ3aHcdrX5jmxs6ZtNlTzm1LzGLWp49xfpyb20w4rcRgJZkLAAUyiqoBidxgqs1fR/ttzu8NolkEGgHkRcIBGokLwsFceSMrsBBQAqAkBB6gntQ0orntUTrUTUACg/hBwgBqU2R0qKrXrRIldRSV2ldgdBBQAaOS8GuJFFi9erA4dOsjf31/x8fHatm1blX0HDRoki8VS4TFixAhnn4kTJ1ZYPmzYsIbYFJhYmd0h24lS5dpOaO+hQn3zi02ZP/2q7Xt/1dcHbPohr1AH80/ocEGJ8o+XqqC47LcrrBJuAKCxcfsenFdffVXJyclasmSJ4uPjtWjRIiUmJiorK0sREREV+r/++usqKSlxPj98+LB69eql0aNHu/QbNmyYli1b5nxutVrdtxEwlTP3yBSV2HX8t1NgAQDm4PaA88QTT2jKlCmaNGmSJGnJkiV65513tHTpUt17770V+rdu3drl+apVqxQQEFAh4FitVkVFRbmvcDR5ZXaHjpfadZwgAwDNjlsDTklJiTIzM5WSkuJs8/LyUkJCgjIyMmo1xksvvaSxY8eqZcuWLu2bNm1SRESEQkNDddVVV2nhwoVq06ZNpWMUFxeruLjY+dxms53F1qCxOjPIHC/9ba4MQQYAmi23BpxDhw7JbrcrMjLSpT0yMlLffvttjetv27ZNX331lV566SWX9mHDhulPf/qTOnbsqB9++EF/+ctfNHz4cGVkZMjb27vCOKmpqZo3b965bQw8jiADAKitRn0W1UsvvaQePXqob9++Lu1jx451ft+jRw/17NlTnTt31qZNmzRkyJAK46SkpCg5Odn53GazKSYmxn2F45wQZAAA58qtAScsLEze3t7Kyclxac/Jyalx/kxhYaFWrVql+fPn1/g6nTp1UlhYmHbv3l1pwLFarUxCboQIMgAAd3FrwPHz81NcXJzWr1+vkSNHSpIcDofWr1+vpKSkatddvXq1iouLddNNN9X4Oj///LMOHz6stm3b1kfZqGenB5nyEEOQAQC4k9sPUSUnJ2vChAnq06eP+vbtq0WLFqmwsNB5VtX48eN13nnnKTU11WW9l156SSNHjqwwcbigoEDz5s3TqFGjFBUVpR9++EF33323unTposTERHdvDqpBkAEANBZuDzhjxoxRXl6e5syZo+zsbPXu3VtpaWnOicf79u2Tl5fr9QazsrL00Ucfad26dRXG8/b21hdffKGXX35ZR48eVXR0tIYOHaoFCxZwGKqB2B2GikrKCDIAgEbLYhjN7xqsNptNwcHBys/PV1BQUL2NW1RSpm5z3pckfTM/UQF+jXoOd40IMgCAsxEd4q/2bVrW3LGO6vL53bQ/gVEvCDIAALMh4DQjziBzxtV9CTIAALMh4JhQZUHmeKldxaUEGQBA80DAMYmikjL9dLiIIAMAgAg4plFc6tDRolJPlwEAQKPgVXMXAACApoWAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATKdBAs7ixYvVoUMH+fv7Kz4+Xtu2bauy7/Lly2WxWFwe/v7+Ln0Mw9CcOXPUtm1btWjRQgkJCfr+++/dvRkAAKCJcHvAefXVV5WcnKy5c+dqx44d6tWrlxITE5Wbm1vlOkFBQTp48KDz8dNPP7ksf+SRR/TUU09pyZIl2rp1q1q2bKnExESdOHHC3ZsDAACaALcHnCeeeEJTpkzRpEmT1K1bNy1ZskQBAQFaunRpletYLBZFRUU5H5GRkc5lhmFo0aJF+tvf/qZrr71WPXv21CuvvKJffvlFb7zxhrs3BwAANAFuDTglJSXKzMxUQkLCqRf08lJCQoIyMjKqXK+goEDt27dXTEyMrr32Wn399dfOZXv27FF2drbLmMHBwYqPj69yzOLiYtlsNpcHAAAwL7cGnEOHDslut7vsgZGkyMhIZWdnV7pO165dtXTpUr355pv617/+JYfDof79++vnn3+WJOd6dRkzNTVVwcHBzkdMTMy5bhoAAGjEGt1ZVP369dP48ePVu3dvDRw4UK+//rrCw8P1/PPPn/WYKSkpys/Pdz72799fjxUDAIDGxq0BJywsTN7e3srJyXFpz8nJUVRUVK3G8PX11SWXXKLdu3dLknO9uoxptVoVFBTk8gAAAObl1oDj5+enuLg4rV+/3tnmcDi0fv169evXr1Zj2O12ffnll2rbtq0kqWPHjoqKinIZ02azaevWrbUeEwAAmJuPu18gOTlZEyZMUJ8+fdS3b18tWrRIhYWFmjRpkiRp/PjxOu+885SamipJmj9/vi677DJ16dJFR48e1aOPPqqffvpJt9xyi6STZ1jNmDFDCxcu1AUXXKCOHTvqvvvuU3R0tEaOHOnuzQEAAE2A2wPOmDFjlJeXpzlz5ig7O1u9e/dWWlqac5Lwvn375OV1akfSr7/+qilTpig7O1uhoaGKi4vTJ598om7dujn73H333SosLNTUqVN19OhRXXHFFUpLS6twQUAAANA8WQzDMDxdREOz2WwKDg5Wfn5+vc7HKSopU7c570uSvpmfqAA/t+dHp18LS/Rt9rEGez0AAKoSHeKv9m1a1vu4dfn8bnRnUQEAAJwrAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdH08XgKbrYP5xbcrKU15BscIDrRrUNVxtg1t4uiwAAAg4ODubsnL1woc/yiLJkGSR9NYXv+jWAZ008MIID1cHAGjuOESFOjuYf1wvfPijDENyGHL5+vyWH5Wdf8LTJQIAmjkCDupsU1aeLFUss0jamJXbkOUAAFABAQd1lldQLKOKZcZvywEA8CQCDuosPNBa7R6c8EBrQ5YDAEAFBBzU2aCu4dXuwRnclUnGAADPIuCgztoGt9CtAzrJctpuHC+LZLFItw7opKhgf88VBwCAOE0cZ2nghRHq0Kal7n39S0nSsO5R+v1FUYQbAECjQMDBWYsMOhVmRsfFyN/X24PVAABwCoeoAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6RBwAACA6TRIwFm8eLE6dOggf39/xcfHa9u2bVX2ffHFF3XllVcqNDRUoaGhSkhIqNB/4sSJslgsLo9hw4a5ezMAAEAT4faA8+qrryo5OVlz587Vjh071KtXLyUmJio3N7fS/ps2bdKNN96ojRs3KiMjQzExMRo6dKgOHDjg0m/YsGE6ePCg8/Hvf//b3ZsCAACaCLcHnCeeeEJTpkzRpEmT1K1bNy1ZskQBAQFaunRppf1XrFih22+/Xb1791ZsbKz+8Y9/yOFwaP369S79rFaroqKinI/Q0FB3bwoAAGgi3BpwSkpKlJmZqYSEhFMv6OWlhIQEZWRk1GqMoqIilZaWqnXr1i7tmzZtUkREhLp27app06bp8OHDVY5RXFwsm83m8gAAAObl1oBz6NAh2e12RUZGurRHRkYqOzu7VmPcc889io6OdglJw4YN0yuvvKL169fr4Ycf1ubNmzV8+HDZ7fZKx0hNTVVwcLDzERMTc/YbBQAAGj0fTxdQnYceekirVq3Spk2b5O/v72wfO3as8/sePXqoZ8+e6ty5szZt2qQhQ4ZUGCclJUXJycnO5zabjZADAICJuXUPTlhYmLy9vZWTk+PSnpOTo6ioqGrXfeyxx/TQQw9p3bp16tmzZ7V9O3XqpLCwMO3evbvS5VarVUFBQS4PAABgXm4NOH5+foqLi3OZIFw+Ybhfv35VrvfII49owYIFSktLU58+fWp8nZ9//lmHDx9W27Zt66VuAADQtLn9LKrk5GS9+OKLevnll7Vr1y5NmzZNhYWFmjRpkiRp/PjxSklJcfZ/+OGHdd9992np0qXq0KGDsrOzlZ2drYKCAklSQUGB/vznP+t///uf9u7dq/Xr1+vaa69Vly5dlJiY6O7NAQAATYDb5+CMGTNGeXl5mjNnjrKzs9W7d2+lpaU5Jx7v27dPXl6nctZzzz2nkpISXX/99S7jzJ07V/fff7+8vb31xRdf6OWXX9bRo0cVHR2toUOHasGCBbJare7eHAAA0AQ0yCTjpKQkJSUlVbps06ZNLs/37t1b7VgtWrTQ+++/X0+VAQAAM+JeVAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHR8PF0AADQGB/OPa1NWnvIKihUeaNWgruFqG9zC02UBOEsEHADN3qasXL3w4Y+ySDIkWSS99cUvunVAJw28MMLD1QE4GxyiAtCsHcw/rhc+/FGGITkMuXx9fsuPys4/4ekSAZwFAg6AZm1TVp4sVSyzSNqYlduQ5QCoJwQcAM1aXkGxjCqWGb8tB9D0EHAANGvhgdZq9+CEB1obshwA9aRBAs7ixYvVoUMH+fv7Kz4+Xtu2bau2/+rVqxUbGyt/f3/16NFD7777rstywzA0Z84ctW3bVi1atFBCQoK+//57d24CAJMa1DW82j04g7syyRhoitx+FtWrr76q5ORkLVmyRPHx8Vq0aJESExOVlZWliIiK/3B88sknuvHGG5Wamqo//OEPWrlypUaOHKkdO3aoe/fukqRHHnlETz31lF5++WV17NhR9913nxITE/XNN9/I39+/1rUVlZTJp6Ss3ra16LSxiupx3No4XmLXiVJ7g75m8WmvV9zArw33y7ad0Iff5+lwQYnaBPrpygvCFRVU+7+vpiI0wE839++opR/vcQYdL8vJcHNz/44KCfBt8L8toKk7XmJ3y+dgXca0GIZR1X9e6kV8fLwuvfRSPfPMM5Ikh8OhmJgY3XHHHbr33nsr9B8zZowKCwv19ttvO9suu+wy9e7dW0uWLJFhGIqOjtasWbM0e/ZsSVJ+fr4iIyO1fPlyjR07tsKYxcXFKi4+dRzdZrMpJiZGMTP+Iy9rQH1vMgAAcANHcZH2L7pB+fn5CgoKqravWw9RlZSUKDMzUwkJCade0MtLCQkJysjIqHSdjIwMl/6SlJiY6Oy/Z88eZWdnu/QJDg5WfHx8lWOmpqYqODjY+YiJiTnXTQMAAI2YWw9RHTp0SHa7XZGRkS7tkZGR+vbbbytdJzs7u9L+2dnZzuXlbVX1OVNKSoqSk5Odz8v34Gz765AaE2BTcbSwVFk5xzxdhqkVl9p124odkqQl434nq6+3hytyj9WZ+5X2VbYclezb9bJIw7pHaXQc/0lo6prL73M5trdht7dtsL/atan/IyQ2m01tF9Wub7O4krHVapXVWvFMiAA/HwX4meMtKC51yN/kf7CNidXX27Tv969FpdVOuv21qNS0295cmfn3uTJsr/u18PN2y+drWR3GdOshqrCwMHl7eysnJ8elPScnR1FRUZWuExUVVW3/8q91GRNA7XHaNAAzcGvA8fPzU1xcnNavX+9sczgcWr9+vfr161fpOv369XPpL0np6enO/h07dlRUVJRLH5vNpq1bt1Y5JoDa47RpAGbg9uvgJCcn68UXX9TLL7+sXbt2adq0aSosLNSkSZMkSePHj1dKSoqz/1133aW0tDQ9/vjj+vbbb3X//ffr008/VVJSkiTJYrFoxowZWrhwodauXasvv/xS48ePV3R0tEaOHOnuzQFMr21wC906oJMslpNzbk7/euuATooKNt+p4gDMx+0TUMaMGaO8vDzNmTNH2dnZ6t27t9LS0pyThPft2ycvr1M5q3///lq5cqX+9re/6S9/+YsuuOACvfHGG85r4EjS3XffrcLCQk2dOlVHjx7VFVdcobS0tDpdAwdA1QZeGKGukUHamJWrvIJihQdaNbhrBOEGQJPRIDNsk5KSnHtgzrRp06YKbaNHj9bo0aOrHM9isWj+/PmaP39+fZUI4AxRwf66sW87T5cBAGeFe1EBAADTIeAAAADTIeAAAADTIeAAAGAy2bYTzu9XZ+7XwfzjHqzGMwg4AACYyKasXP1lzZfO52lfZWvW6s+1+btcD1bV8Ag4AACYxMH843rhwx9lnHa1TochGYb0/JYflZ1/ouqVTYaAAwCASWzKyqv2Visbs5rPXhwCDgAAJpFXUFztrVbyCoobshyPIuAAAGAS3Cz3FAIOAAAmwc1yTyHgAABgEtws95QGuRcVAABoGNws9yQCDgAAJsPNcjlEBQAATIiAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAA9RStu2E8/vVmft1MP+4B6sBAFSHgAPUwqasXP1lzZfO52lfZWvW6s+1+btcD1YFAKgKAQeowcH843rhwx9lGKfaHIZkGNLzW35Udv6JqlcGAHgEAQeowaasPFmqWGaRtDGLvTgA0NgQcIAa5BUUy6himfHbcgBA40LAAWoQHmitdg9OeKC1IcsBANQCAQeowaCu4dXuwRncNaIhywEA1AIBB6hB2+AWunVAJ1kskpdFLl9vHdBJUcH+ni4RAHAGH08XADQFAy+MUNfIIG3MylVeQbHCA60a3DWCcAMAjRQBB6ilqGB/3di3nafLAADUAoeoAACA6RBwAACA6RBwAACA6bg14Bw5ckTjxo1TUFCQQkJCNHnyZBUUFFTb/4477lDXrl3VokULtWvXTnfeeafy8/Nd+lkslgqPVatWuXNTAABAE+LWScbjxo3TwYMHlZ6ertLSUk2aNElTp07VypUrK+3/yy+/6JdfftFjjz2mbt266aefftJtt92mX375Rf/9739d+i5btkzDhg1zPg8JCXHnpgAAgCbEbQFn165dSktL0/bt29WnTx9J0tNPP62rr75ajz32mKKjoyus0717d7322mvO5507d9YDDzygm266SWVlZfLxOVVuSEiIoqKi3FU+AABowtx2iCojI0MhISHOcCNJCQkJ8vLy0tatW2s9Tn5+voKCglzCjSRNnz5dYWFh6tu3r5YuXSrDqOpas1JxcbFsNpvLAwCas2zbCef3qzP362D+cQ9WA9Q/t+3Byc7OVkSE6yXsfXx81Lp1a2VnZ9dqjEOHDmnBggWaOnWqS/v8+fN11VVXKSAgQOvWrdPtt9+ugoIC3XnnnZWOk5qaqnnz5p3dhgCAyWzKytULH/7ofJ72Vbbe+ypbtw7opIEXcusRmEOd9+Dce++9lU7yPf3x7bffnnNhNptNI0aMULdu3XT//fe7LLvvvvt0+eWX65JLLtE999yju+++W48++miVY6WkpCg/P9/52L9//znXBwBN0cH843rhwx91+k5vhyEZhvT8lh+VnX+i6pWBJqTOe3BmzZqliRMnVtunU6dOioqKUm5urkt7WVmZjhw5UuPcmWPHjmnYsGFq1aqV1qxZI19f32r7x8fHa8GCBSouLpbVWvHOzlartdJ2AGhuNmXlySJVegNZi6SNWblcsRumUOeAEx4ervDw8Br79evXT0ePHlVmZqbi4uIkSRs2bJDD4VB8fHyV69lsNiUmJspqtWrt2rXy96/5Xj87d+5UaGgoIQYAapBXUFxpuJFOhp68guKGLAdwG7fNwbnooos0bNgwTZkyRUuWLFFpaamSkpI0duxY5xlUBw4c0JAhQ/TKK6+ob9++stlsGjp0qIqKivSvf/3LZUJweHi4vL299dZbbyknJ0eXXXaZ/P39lZ6ergcffFCzZ89216YAgGmEB1qr3YMTHsh/FGEObr0OzooVK5SUlKQhQ4bIy8tLo0aN0lNPPeVcXlpaqqysLBUVFUmSduzY4TzDqkuXLi5j7dmzRx06dJCvr68WL16smTNnyjAMdenSRU888YSmTJnizk0BAFMY1DVcb33xS6XLDEmDuzLJGOZgMao7v9qkbDabgoODnaegm8GvhSX6NvuYp8sA0ARs/i5Xz2/50bknp/yrmc+iOlFq16Tl2yVJyyZeKn9fbw9XZG7RIf5q36ZlvY9bl89vt+7BAQA0PgMvjFDXyCBtzMpVXkGxwgOtGtw1QlHBNc95BJoKAg4ANENRwf6cLQVT427iAADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADTy7aduono6sz9Oph/3IPVoCEQcAAAprYpK1d/WfOl83naV9matfpzbf4ut5q10NQRcAAApnUw/7he+PBHnX7NfochGYb0/JYflZ1/ouqV0aQRcAAAprUpK0+WKpZZJG3MYi+OWRFwAACmlVdQXOmd06WT99/KKyhuyHLQgAg4AADTCg+0VrsHJzzQ2pDloAERcAAApjWoa3i1e3AGdzXn3dNBwAEAmFjb4Ba6dUAnWSySl0UuX28d0Ik7qJsYdxMHAJjawAsj1DUySBuzcpVXUKzwQKsGd40g3JgcAQcAYHpRwf66sW87T5eBBsQhKgAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDoEHAAAYDpuDThHjhzRuHHjFBQUpJCQEE2ePFkFBQXVrjNo0CBZLBaXx2233ebSZ9++fRoxYoQCAgIUERGhP//5zyorK3PnpgAAgCbEx52Djxs3TgcPHlR6erpKS0s1adIkTZ06VStXrqx2vSlTpmj+/PnO5wEBAc7v7Xa7RowYoaioKH3yySc6ePCgxo8fL19fXz344INu2xYAANB0uC3g7Nq1S2lpadq+fbv69OkjSXr66ad19dVX67HHHlN0dHSV6wYEBCgqKqrSZevWrdM333yjDz74QJGRkerdu7cWLFige+65R/fff7/8/Pzcsj0AAKDpcNshqoyMDIWEhDjDjSQlJCTIy8tLW7durXbdFStWKCwsTN27d1dKSoqKiopcxu3Ro4ciIyOdbYmJibLZbPr6668rHa+4uFg2m83lAQAAzMtte3Cys7MVERHh+mI+PmrdurWys7OrXO///u//1L59e0VHR+uLL77QPffco6ysLL3++uvOcU8PN5Kcz6saNzU1VfPmzTuXzQEAAE1InQPOvffeq4cffrjaPrt27TrrgqZOner8vkePHmrbtq2GDBmiH374QZ07dz6rMVNSUpScnOx8brPZFBMTc9Y1AgCAxq3OAWfWrFmaOHFitX06deqkqKgo5ebmurSXlZXpyJEjVc6vqUx8fLwkaffu3ercubOioqK0bds2lz45OTmSVOW4VqtVVqu11q8JAACatjoHnPDwcIWHh9fYr1+/fjp69KgyMzMVFxcnSdqwYYMcDocztNTGzp07JUlt27Z1jvvAAw8oNzfXeQgsPT1dQUFB6tatWx23BgAAmJHbJhlfdNFFGjZsmKZMmaJt27bp448/VlJSksaOHes8g+rAgQOKjY117pH54YcftGDBAmVmZmrv3r1au3atxo8frwEDBqhnz56SpKFDh6pbt276f//v/+nzzz/X+++/r7/97W+aPn06e2kAAIAkN1/ob8WKFYqNjdWQIUN09dVX64orrtALL7zgXF5aWqqsrCznWVJ+fn764IMPNHToUMXGxmrWrFkaNWqU3nrrLec63t7eevvtt+Xt7a1+/frppptu0vjx412umwMAAJo3i2EYhqeLaGg2m03BwcHKz89XUFCQp8upF78Wlujb7GOeLgMAAEWH+Kt9m5b1Pm5dPr+5FxUAADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAo5JWH291CbQTwF+3rJYPF0NAACe5ePpAlA/Avx8dGFkK0mSYRg6XmrX8RK7ikrszu+Pl9plGB4uFACABkDAMSGLxaIAPx8F+PmozWntlQWfohK7ThB8AAAmQ8BpRmoKPkUlp/b0EHwAAE0ZAQcuwed0BB8AQFNFwEGVqgo+DoehE2UEHwBA40XAQZ15eRF8AACNm1tPEz9y5IjGjRunoKAghYSEaPLkySooKKiy/969e2WxWCp9rF692tmvsuWrVq1y56agFsqDT1igVTGtA3RhZCv1jglR3w6t1SsmWBdEBur80BZqE+inFpzODgBwI7fuwRk3bpwOHjyo9PR0lZaWatKkSZo6dapWrlxZaf+YmBgdPHjQpe2FF17Qo48+quHDh7u0L1u2TMOGDXM+DwkJqff6UT/Y4wMAaGhuCzi7du1SWlqatm/frj59+kiSnn76aV199dV67LHHFB0dXWEdb29vRUVFubStWbNGN9xwgwIDA13aQ0JCKvRF00LwAQC4i9sOUWVkZCgkJMQZbiQpISFBXl5e2rp1a63GyMzM1M6dOzV58uQKy6ZPn66wsDD17dtXS5culVHNJ19xcbFsNpvLA40Xh7oAAOfKbXtwsrOzFRER4fpiPj5q3bq1srOzazXGSy+9pIsuukj9+/d3aZ8/f76uuuoqBQQEaN26dbr99ttVUFCgO++8s9JxUlNTNW/evLPbEDQa7PEBANRWnQPOvffeq4cffrjaPrt27TrrgsodP35cK1eu1H333Vdh2eltl1xyiQoLC/Xoo49WGXBSUlKUnJzsfG6z2RQTE3PONaJxqC74HC+1V7h6M8EHAMyvzgFn1qxZmjhxYrV9OnXqpKioKOXm5rq0l5WV6ciRI7WaO/Pf//5XRUVFGj9+fI194+PjtWDBAhUXF8tqtVZYbrVaK22HuXl5WdTS6qOWVoIPADQ3dQ444eHhCg8Pr7Ffv379dPToUWVmZiouLk6StGHDBjkcDsXHx9e4/ksvvaQ//vGPtXqtnTt3KjQ0lBCDWiH4AID5uW0OzkUXXaRhw4ZpypQpWrJkiUpLS5WUlKSxY8c6z6A6cOCAhgwZoldeeUV9+/Z1rrt7925t2bJF7777boVx33rrLeXk5Oiyyy6Tv7+/0tPT9eCDD2r27Nnu2hQ0E7UNPsVlDtkdhsoc5V8N2X97EIQAoHFw63VwVqxYoaSkJA0ZMkReXl4aNWqUnnrqKefy0tJSZWVlqaioyGW9pUuX6vzzz9fQoUMrjOnr66vFixdr5syZMgxDXbp00RNPPKEpU6a4c1PQjFUVfCpTZnc4A8+pr78FIXsV7eXP7aQjAKgvFqO686tNymazKTg4WPn5+QoKCvJ0OYCkkzc3dQ1AFQPSybaTIerMwGR3NLs/ZQCNVHSIv9q3aVnv49bl85t7UQGNhMVikY+3RT7eZ7e+YZwRjuyV7CUiIAFoJgg4gElYLBb5elvkW88BqTnmHkM1bHQt3pOautRm33mNddRinJpGcDgMFZfZdaLUoeIyh0rKHDUXBjQBBBwAks49IMEcTgYex2mh5+TE+hOlJ78yVwxNBQEHAODk5WVRCz9vtfCrPOmW2R06UeZQcalr8Cn+ra057vFD40TAAQDUmo+3lwK9vRRYxVmFLnt8fjvsVR6CSu0OLqWABkPAAQDUG6uPt6w+3gry962w7PTDXy57f0odOlFm5/AX6hUBBwDQIGpz+OvMw16nQhCHv1A3BBwAQKPg4+0lH2+vKi+qWVJ2ck9PcWnFSdAlZRz+gisCDgCgSfDz8ZKfj5fkX3GZw2GoxH7qcNeZIaiUw1/NDgEHANDkeXlZ5O/lLX9fbwWr4vwfu8NwHu468dtNdE8/BMbeH/Mh4AAATM/beU+5issMw3CZ7HwyAJ3aA8RVvpsmAg4AoFmzWCzy961670/53J9Tp76fDD4nSjn01ZgRcAAAqEb53J/KTn0vP/R1otTuvADiid/2BDHx2bMIOAAAnKVTh74qfpyWH/oqP+R1MgSd3At0gtPe3Y6AAwCAG5x+6KsyLqe6lzpc5v5w6OvcEXAAAPCA8qs+q5J5P+X3/DrzzK8TpdzxvbYIOAAANDLV3fOr/JYX5Ye8Tj/jiys+n0LAAQCgCanulhfOU97PmPBcvieoOd3vi4ADAIBJuMz7aVHx0Fep3VHhOj8nw49dJWXmCj8EHAAAmglfby/5enupVSW3u7A7jDNCj+tVn5vaKe8EHAAAIG8viwL8fBTgV3FZU7zaMwEHAABUq7ZXey4/3T2gkvlBDY2AAwAAzkl1d3r3FC9PFwAAAFDfCDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB03BZwHnjgAfXv318BAQEKCQmp1TqGYWjOnDlq27atWrRooYSEBH3//fcufY4cOaJx48YpKChIISEhmjx5sgoKCtywBQAAoKlyW8ApKSnR6NGjNW3atFqv88gjj+ipp57SkiVLtHXrVrVs2VKJiYk6ceKEs8+4ceP09ddfKz09XW+//ba2bNmiqVOnumMTAABAE2UxDMNw5wssX75cM2bM0NGjR6vtZxiGoqOjNWvWLM2ePVuSlJ+fr8jISC1fvlxjx47Vrl271K1bN23fvl19+vSRJKWlpenqq6/Wzz//rOjo6FrVZLPZFBwcrPz8fAUFBZ3T9gEAgIZRl89vnwaqqUZ79uxRdna2EhISnG3BwcGKj49XRkaGxo4dq4yMDIWEhDjDjSQlJCTIy8tLW7du1XXXXVfp2MXFxSouLnY+z8/Pl3TyjQIAAE1D+ed2bfbNNJqAk52dLUmKjIx0aY+MjHQuy87OVkREhMtyHx8ftW7d2tmnMqmpqZo3b16F9piYmHMtGwAANLBjx44pODi42j51Cjj33nuvHn744Wr77Nq1S7GxsXUZ1u1SUlKUnJzsfO5wOHTkyBG1adNGFoulXl/LZrMpJiZG+/fvbxaHv9hec2N7zY3tNTczbq9hGDp27FitpqTUKeDMmjVLEydOrLZPp06d6jKkU1RUlCQpJydHbdu2dbbn5OSod+/ezj65ubku65WVlenIkSPO9StjtVpltVpd2mp7ZtfZCgoKMs0vVG2wvebG9pob22tuZtvemvbclKtTwAkPD1d4ePhZFVSTjh07KioqSuvXr3cGGpvNpq1btzrPxOrXr5+OHj2qzMxMxcXFSZI2bNggh8Oh+Ph4t9QFAACaHredJr5v3z7t3LlT+/btk91u186dO7Vz506Xa9bExsZqzZo1kiSLxaIZM2Zo4cKFWrt2rb788kuNHz9e0dHRGjlypCTpoosu0rBhwzRlyhRt27ZNH3/8sZKSkjR27Nhan0EFAADMz22TjOfMmaOXX37Z+fySSy6RJG3cuFGDBg2SJGVlZTnPaJKku+++W4WFhZo6daqOHj2qK664QmlpafL393f2WbFihZKSkjRkyBB5eXlp1KhReuqpp9y1GXVmtVo1d+7cCofEzIrtNTe219zYXnNrbtt7JrdfBwcAAKChcS8qAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgScerR48WJ16NBB/v7+io+P17Zt2zxdktts2bJF11xzjaKjo2WxWPTGG294uiS3Sk1N1aWXXqpWrVopIiJCI0eOVFZWlqfLcpvnnntOPXv2dF4BtV+/fnrvvfc8XVaDeOihh5zX5TKr+++/XxaLxeXR2G6xU98OHDigm266SW3atFGLFi3Uo0cPffrpp54uyy06dOhQ4edrsVg0ffp0T5fWoAg49eTVV19VcnKy5s6dqx07dqhXr15KTEyscGsJsygsLFSvXr20ePFiT5fSIDZv3qzp06frf//7n9LT01VaWqqhQ4eqsLDQ06W5xfnnn6+HHnpImZmZ+vTTT3XVVVfp2muv1ddff+3p0txq+/btev7559WzZ09Pl+J2F198sQ4ePOh8fPTRR54uyW1+/fVXXX755fL19dV7772nb775Ro8//rhCQ0M9XZpbbN++3eVnm56eLkkaPXq0hytrYAbqRd++fY3p06c7n9vtdiM6OtpITU31YFUNQ5KxZs0aT5fRoHJzcw1JxubNmz1dSoMJDQ01/vGPf3i6DLc5duyYccEFFxjp6enGwIEDjbvuusvTJbnN3LlzjV69enm6jAZzzz33GFdccYWny/CYu+66y+jcubPhcDg8XUqDYg9OPSgpKVFmZqYSEhKcbV5eXkpISFBGRoYHK4O7lF+Bu3Xr1h6uxP3sdrtWrVqlwsJC9evXz9PluM306dM1YsQIl79jM/v+++8VHR2tTp06ady4cdq3b5+nS3KbtWvXqk+fPho9erQiIiJ0ySWX6MUXX/R0WQ2ipKRE//rXv3TzzTfLYrF4upwGRcCpB4cOHZLdbldkZKRLe2RkpLKzsz1UFdzF4XBoxowZuvzyy9W9e3dPl+M2X375pQIDA2W1WnXbbbdpzZo16tatm6fLcotVq1Zpx44dSk1N9XQpDSI+Pl7Lly9XWlqannvuOe3Zs0dXXnmljh075unS3OLHH3/Uc889pwsuuEDvv/++pk2bpjvvvNPldkJm9cYbb+jo0aOaOHGip0tpcG67FxVgVtOnT9dXX31l6jkLktS1a1ft3LlT+fn5+u9//6sJEyZo8+bNpgs5+/fv11133aX09HSX+96Z2fDhw53f9+zZU/Hx8Wrfvr3+85//aPLkyR6szD0cDof69OmjBx98UNLJeyN+9dVXWrJkiSZMmODh6tzrpZde0vDhw5vlDanZg1MPwsLC5O3trZycHJf2nJwcRUVFeagquENSUpLefvttbdy4Ueeff76ny3ErPz8/denSRXFxcUpNTVWvXr305JNPerqsepeZmanc3Fz97ne/k4+Pj3x8fLR582Y99dRT8vHxkd1u93SJbhcSEqILL7xQu3fv9nQpbtG2bdsKwfyiiy4y9WE5Sfrpp5/0wQcf6JZbbvF0KR5BwKkHfn5+iouL0/r1651tDodD69evN/WchebEMAwlJSVpzZo12rBhgzp27Ojpkhqcw+FQcXGxp8uod0OGDNGXX36pnTt3Oh99+vTRuHHjtHPnTnl7e3u6RLcrKCjQDz/8oLZt23q6FLe4/PLLK1zW4bvvvlP79u09VFHDWLZsmSIiIjRixAhPl+IRHKKqJ8nJyZowYYL69Omjvn37atGiRSosLNSkSZM8XZpbFBQUuPxvb8+ePdq5c6dat26tdu3aebAy95g+fbpWrlypN998U61atXLOrQoODlaLFi08XF39S0lJ0fDhw9WuXTsdO3ZMK1eu1KZNm/T+++97urR616pVqwpzqVq2bKk2bdqYdo7V7Nmzdc0116h9+/b65ZdfNHfuXHl7e+vGG2/0dGluMXPmTPXv318PPvigbrjhBm3btk0vvPCCXnjhBU+X5jYOh0PLli3ThAkT5OPTTD/qPX0al5k8/fTTRrt27Qw/Pz+jb9++xv/+9z9Pl+Q2GzduNCRVeEyYMMHTpblFZdsqyVi2bJmnS3OLm2++2Wjfvr3h5+dnhIeHG0OGDDHWrVvn6bIajNlPEx8zZozRtm1bw8/PzzjvvPOMMWPGGLt37/Z0WW711ltvGd27dzesVqsRGxtrvPDCC54uya3ef/99Q5KRlZXl6VI8xmIYhuGZaAUAAOAezMEBAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACm8/8B3Fix24Zjs3UAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"59\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 1200x600 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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IycnJ6t+/v+666y41adJEy5cvV0FBgR5//PFL2taauv322/Xoo4/q9ttvV+/evbV169Zy35irqzrfb+ns8/Xiiy/qoYceUufOnRUSElJmD410ds/bY489pkmTJmngwIG69dZbHaeJR0ZGatasWRdd64VuvPFGLV68WFu2bHEccqrp71ZgYKDWr1+v66+/Xr169XK6kvGuXbv0r3/966JCSmZmpr766itNnz794jcQ5uWek7cA17vhhhsMHx8fIy8vr8I+EydONLy8vIzjx48bhmEYx44dM0aOHGn4+voagYGBxh133GF88803ZU4bLi4uNu6++24jODjYsFgsTqdCnzp1ypg1a5YRHh5ueHl5GZdddpnxxBNPOJ0OXGLFihXGVVddZVitViMwMNAYOHCg45TbEs8//7wRFRVleHl5GaGhoca0adOMX3/91anPwIEDjSuvvLLM+CWnPD/xxBPlbv9PP/1kjB8/3ggLCzO8vLyMNm3aGL///e+N//znP44+5Z0m/t133xmxsbFG8+bNjaCgIGPKlCnGl19+WaPnSReccm0YhrFr1y4jLi7OaN68ueHr62sMHjzY+PTTT536lJwmvnPnTqf2ik7zv1DJqd3Hjh2rsE9+fr4xefJkw9/f32jRooVxyy23GJmZmRWeJn7hWCU17tu3z6m9qu93enq6MXz4cKNFixaGJMcp4xVt2+uvv+4Yr2XLlsbYsWONX375xanPhAkTjGbNmlX4PFRHjx49jMmTJzvuX8zvlmGcPe1/1qxZxuWXX274+PgYvr6+RnR0tPHwww8b2dnZjn4V/Txf6MUXXzR8fX2NnJycam0HGheLYdSTWXAAgHrpH//4h6ZPn66DBw86XUDQ3a666ioNGjTI6QKaQAnm4AAAKjV27Fi1a9eu3AnF7pKUlKQff/xR8+bNc3cpqKfYgwMAAEyHPTgAAMB0XBpwtm7dqhtuuEHh4eGyWCzV+kC0zZs36ze/+Y2sVqs6d+5c7if6Ll26VJGRkfLx8VFMTIx27NhR+8UDAIAGy6UBJy8vTz179qz2cdt9+/Zp+PDhGjx4sHbv3q2ZM2fq9ttv14cffujo8/rrryshIUELFizQrl271LNnT8XFxZV7Ki8AAGic6mwOjsVi0fr16zVixIgK+9x///16//339c033zjaxowZo6ysLCUlJUk6+zknV199teNCana7XREREbr77rs1d+5cl24DAABoGOrVhf62bdtW5rLxcXFxmjlzpqSzl6hPTU11mjXv4eGh2NhYbdu2rcJxCwoKnK7CabfbdfLkSbVq1YoPaAMAoIEwDEOnTp1SeHi4PDwqPwhVrwJOenq6QkNDndpCQ0OVk5Oj06dP69dff5XNZiu3T8ln/ZQnMTFRCxcudEnNAACgbh06dEht27attE+9CjiuMm/ePCUkJDjuZ2dnq127djp06FCtfL7N35J/0KpP98tmL3u0z9PDoon9IjXrd5df8uMAANCY5eTkKCIiwunDjCtSrwJOWFiYMjIynNoyMjLk5+enpk2bytPTU56enuX2CQsLq3Bcq9Uqq9Vapt3Pz69WAs74gVfo1c8z5FHObCaLRZow8Ar5+TW75McBAACq1vSSenUdnL59+yolJcWpLTk52fEhbN7e3oqOjnbqY7fblZKS4tZPk+0Q1EyPjewhj1LPt6fFIg+L9NjIHooMItwAAFCXXLoHJzc3V3v37nXc37dvn3bv3q2WLVuqXbt2mjdvng4fPqzXXntNknTnnXfq+eef13333afbbrtNGzdu1L///W+9//77jjESEhI0YcIE9e7dW3369NGSJUuUl5enSZMmuXJTqjSqd4S6tfHTsGc+liRN6h+pcTHtCTcAALiBSwPO559/rsGDBzvul8yDmTBhglatWqWjR4/q4MGDjuUdOnTQ+++/r1mzZumZZ55R27Zt9fe//11xcXGOPqNHj9axY8c0f/58paenq1evXkpKSioz8dgd2rc6H2YSfne5fL3r1RFAAAAajUb5WVQ5OTny9/dXdnZ2rczBKZFfWKyu889elPC7RXEEHAAAalFN3r/r1RwcAACA2kDAAQAApkPAAQAApsMkEQAA3MAwDBmGZJS+L6lkZqwhQ6VnyZ7ta5T6+uw6Z/ueW++CdSsbW07LnR/PaWxDzv9XMbZkyL+pt4JblL3+XF0i4AAA3Krkjd5+7o3SXvLGX+pNt2SZYS/bZj/3bmu/sH+pMezGhW/EFwaFc7Xo/Hql75+vtfwgUDooVDh2mSBgXl6eHpIIOACAOmQYhgptdhXZDBXb7JcYFkr6nFtmdw4JlfZvRG/4qHsEHAAwCZvdUJHNrkKbXYXFdhXZ7CoqLgkzZ2+FxXYV2w1CBUyPgAMA9ZwjrJwLL0U2Q0XFFwQZm1HuB/4CjRUBBwDcwG4vvWfFcOxdcbSV2vPC3hag5gg4AFCLis8FFqew4jg8dD60FNtILYArEXAAoAqlJ+UWFTsfKiosfb/YLo4SAfUDAQcAzjldaNPx3AIVFDvveSmyMSkXaGgIOAAavWKbXb/8elrpOWcIMoBJEHAANFqGYSgjp0C//JqvIubEAKZCwAHQKGXnF2n/iTzlF9rcXQoAFyDgAGhUThfadOBknn7NK3J3KQBciIADoFFgng3QuBBwAJiaYRjKPFWgQyeZZwM0JgQcAKbFPBug8SLgADCdM0U27T/BPBugMSPgADCNYptdh7NO62g282yAxo6AA6DBY54NgAsRcAA0aMyzAVAeAg6ABulMkU0HTuTrZF6hu0sBUA8RcAA0KCXzbNKzz/DJ3QAqRMAB0CAwzwZATRBwANR72flFOnAyT3kFzLMBUD0EHAD1FvNsAFwsAg6Aeod5NgAuFQEHQL1RMs/ml1/zVVhMsgFw8Qg4AOqF7NNFOnCCeTYAagcBB4BbMc8GgCsQcAC4BfNsALgSAQdAnTIMQ8dOFegQ82wAuBABB0CdYZ4NgLriURcPsnTpUkVGRsrHx0cxMTHasWNHhX0HDRoki8VS5jZ8+HBHn4kTJ5ZZHh8fXxebAuAinCmyKS39lL47kkO4AVAnXL4H5/XXX1dCQoKWLVummJgYLVmyRHFxcUpLS1NISEiZ/m+++aYKC89PNjxx4oR69uypUaNGOfWLj4/XypUrHfetVqvrNgLARSm22XUk64yOZp9mng2AOuXygPP0009rypQpmjRpkiRp2bJlev/997VixQrNnTu3TP+WLVs63V+7dq18fX3LBByr1aqwsDDXFQ7gojHPBoC7ufQQVWFhoVJTUxUbG3v+AT08FBsbq23btlVrjFdeeUVjxoxRs2bNnNo3b96skJAQdenSRdOmTdOJEycqHKOgoEA5OTlONwCukX26SF8fztZPx/IINwDcxqUB5/jx47LZbAoNDXVqDw0NVXp6epXr79ixQ998841uv/12p/b4+Hi99tprSklJ0WOPPaYtW7Zo2LBhstnKP7afmJgof39/xy0iIuLiNwpAuc4U2fRDBvNsANQP9fosqldeeUXdu3dXnz59nNrHjBnj+Lp79+7q0aOHOnXqpM2bN2vIkCFlxpk3b54SEhIc93Nycgg5QC2x2Q0d/vU082wA1Csu3YMTFBQkT09PZWRkOLVnZGRUOX8mLy9Pa9eu1eTJk6t8nI4dOyooKEh79+4td7nVapWfn5/TDcClMQxDmTlntPvQrzqcRbgBUL+4NOB4e3srOjpaKSkpjja73a6UlBT17du30nXXrVungoICjRs3rsrH+eWXX3TixAm1bt36kmsGUDXm2QCo71x+HZyEhAS9/PLLevXVV7Vnzx5NmzZNeXl5jrOqxo8fr3nz5pVZ75VXXtGIESPUqlUrp/bc3Fz96U9/0meffab9+/crJSVFN954ozp37qy4uDhXbw7QqDHPBkBD4fI5OKNHj9axY8c0f/58paenq1evXkpKSnJMPD548KA8PJxzVlpamj7++GNt2LChzHienp766quv9OqrryorK0vh4eEaOnSoFi9ezLVwABdhng2AhsZiGEaje7nKycmRv7+/srOza3U+Tn5hsbrO/1CS9N2iOPl61+s53EAZhmHIMCRDkv3c11n5hVzPBkCNhAf4qH2rZlV3rKGavH/zDgzUIsMwZDfOBQWdDwlnl527X6qfDMlQ2XV0QcgwJNnP7TopdxwZ59rPjufoU9ljl17HsazunisAcCUCDhqM0uHBfu4NWzr/Rm4vFRrOfu0cGOyl3uTt9pLg4DzmhcHEETBKr+toOx8KSocJAID7EXDgxG43ynkjv+DN3V55MHDcL7Vu6b0HRumwUTpEVDSmnb0LAICaIeCYRH5hsdKzz5QNG/bzhyzKCxt2gz0QAADzIeCYREGRXRk5Be4uAwCAesHl18EBAACoawQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOgQcAABgOnUScJYuXarIyEj5+PgoJiZGO3bsqLDvqlWrZLFYnG4+Pj5OfQzD0Pz589W6dWs1bdpUsbGx+vHHH129GQAAoIFwecB5/fXXlZCQoAULFmjXrl3q2bOn4uLilJmZWeE6fn5+Onr0qON24MABp+WPP/64nn32WS1btkzbt29Xs2bNFBcXpzNnzrh6cwAAQAPg8oDz9NNPa8qUKZo0aZK6du2qZcuWydfXVytWrKhwHYvForCwMMctNDTUscwwDC1ZskR//etfdeONN6pHjx567bXXdOTIEb311luu3hwAANAAuDTgFBYWKjU1VbGxsecf0MNDsbGx2rZtW4Xr5ebmqn379oqIiNCNN96ob7/91rFs3759Sk9PdxrT399fMTExFY5ZUFCgnJwcpxsAADAvlwac48ePy2azOe2BkaTQ0FClp6eXu06XLl20YsUKvf322/rnP/8pu92ufv366ZdffpEkx3o1GTMxMVH+/v6OW0RExKVuGgAAqMfq3VlUffv21fjx49WrVy8NHDhQb775poKDg7V8+fKLHnPevHnKzs523A4dOlSLFQMAgPrGpQEnKChInp6eysjIcGrPyMhQWFhYtcbw8vLSVVddpb1790qSY72ajGm1WuXn5+d0AwAA5uXSgOPt7a3o6GilpKQ42ux2u1JSUtS3b99qjWGz2fT111+rdevWkqQOHTooLCzMacycnBxt37692mMCAABza+LqB0hISNCECRPUu3dv9enTR0uWLFFeXp4mTZokSRo/frzatGmjxMRESdKiRYt0zTXXqHPnzsrKytITTzyhAwcO6Pbbb5d09gyrmTNn6qGHHtJll12mDh066IEHHlB4eLhGjBjh6s0BAAANgMsDzujRo3Xs2DHNnz9f6enp6tWrl5KSkhyThA8ePCgPj/M7kn799VdNmTJF6enpCgwMVHR0tD799FN17drV0ee+++5TXl6epk6dqqysLPXv319JSUllLggIAAAaJ4thGIa7i6hrOTk58vf3V3Z2dq3Ox8kvLFbX+R9Kkr5bFCdfb5fnR4df8wr1ffqpOns8AAAqEh7go/atmtX6uDV5/653Z1EBAABcKgIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwnToJOEuXLlVkZKR8fHwUExOjHTt2VNj35Zdf1nXXXafAwEAFBgYqNja2TP+JEyfKYrE43eLj4129GQAAoIFwecB5/fXXlZCQoAULFmjXrl3q2bOn4uLilJmZWW7/zZs369Zbb9WmTZu0bds2RUREaOjQoTp8+LBTv/j4eB09etRx+9e//uXqTQEAAA2EywPO008/rSlTpmjSpEnq2rWrli1bJl9fX61YsaLc/qtXr9Zdd92lXr16KSoqSn//+99lt9uVkpLi1M9qtSosLMxxCwwMdPWmAACABsKlAaewsFCpqamKjY09/4AeHoqNjdW2bduqNUZ+fr6KiorUsmVLp/bNmzcrJCREXbp00bRp03TixIkKxygoKFBOTo7TDQAAmJdLA87x48dls9kUGhrq1B4aGqr09PRqjXH//fcrPDzcKSTFx8frtddeU0pKih577DFt2bJFw4YNk81mK3eMxMRE+fv7O24REREXv1EAAKDea+LuAirz6KOPau3atdq8ebN8fHwc7WPGjHF83b17d/Xo0UOdOnXS5s2bNWTIkDLjzJs3TwkJCY77OTk5hBwAAEzMpXtwgoKC5OnpqYyMDKf2jIwMhYWFVbruk08+qUcffVQbNmxQjx49Ku3bsWNHBQUFae/eveUut1qt8vPzc7oBAADzcmnA8fb2VnR0tNME4ZIJw3379q1wvccff1yLFy9WUlKSevfuXeXj/PLLLzpx4oRat25dK3UDAICGzeVnUSUkJOjll1/Wq6++qj179mjatGnKy8vTpEmTJEnjx4/XvHnzHP0fe+wxPfDAA1qxYoUiIyOVnp6u9PR05ebmSpJyc3P1pz/9SZ999pn279+vlJQU3XjjjercubPi4uJcvTkAAKABcPkcnNGjR+vYsWOaP3++0tPT1atXLyUlJTkmHh88eFAeHudz1osvvqjCwkLdfPPNTuMsWLBADz74oDw9PfXVV1/p1VdfVVZWlsLDwzV06FAtXrxYVqvV1ZsDAAAaAIthGIa7i6hrOTk58vf3V3Z2dq3Ox8kvLFbX+R9Kkr5bFCdf77qbw/1rXqG+Tz9VZ48HAEBFwgN81L5Vs1oftybv33wWFQAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMJ26+7AkmM7R7NPanHZMx3ILFNzcqkFdgtXav6m7ywIAgICDi7M5LVMv/e9nWSQZkiyS3v3qiO4Y0FEDLw9xc3UAgMaOQ1SosaPZp/XS/36WYUh2Q07/L9/6s9Kzz7i7RABAI0fAQY1tTjsmSwXLLJI2pWXWZTkAAJRBwEGNHcstkFHBMuPccgAA3Ik5OKix4OZWx9ybC1nOLQeA+oSTIhofAg5qbFCXYL371ZFylxmSBncx5yRjXiCBhomTIhonAg5qrLV/U90xoKOWbz070ViSPCxnXzjuGNBRYf4+bq3PFXiBBBqm0idFlOx1Lvl/+daf1SXUz5SvWWAODi7SwMtDlHhTd8f9+G5henpUL1O+2XPWGNBwcVJE48UeHFy0UL/zf/WMio6Qj5enG6txnZIXyIrmHG1Ky9StfdrVcVUAqqOxnhTBIXUCDlClxvoCCZhBYzwpgkPqZ3GICqhCyQtkecz6AgmYxaAuwZX+gWK2kyI4pH4eAQeoQmN7gQTMpOSkCEupv1I8LJLFYs6TIphzdB4BB6hCY3uBBMymMZ0UwSH185iDA1TDwMtDFNmqmea++bWksy+Qv7sijHADNBCN5aSIxjjnqCLswQGq6cIXSMINgPqGQ+rnEXAAADAJDqmfxyEqAABMhEPqZxFwAAAwmcYy56gyHKICAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmUycBZ+nSpYqMjJSPj49iYmK0Y8eOSvuvW7dOUVFR8vHxUffu3fXBBx84LTcMQ/Pnz1fr1q3VtGlTxcbG6scff3TlJgAAgAbE5dfBef3115WQkKBly5YpJiZGS5YsUVxcnNLS0hQSUvaS0Z9++qluvfVWJSYm6ve//73WrFmjESNGaNeuXerWrZsk6fHHH9ezzz6rV199VR06dNADDzyguLg4fffdd/Lxqf6FjPILi9WksLjWtjW/1Fj5tThudZwutOlMka1OH7Og1OMV1PFju0Nj217ATBrb76+7t/d0oc0l74M1GdNiGEZFH1tRK2JiYnT11Vfr+eeflyTZ7XZFRETo7rvv1ty5c8v0Hz16tPLy8vTee+852q655hr16tVLy5Ytk2EYCg8P1+zZszVnzhxJUnZ2tkJDQ7Vq1SqNGTOmzJgFBQUqKDj/Cao5OTmKiIhQxMx/y8PqW9ubDAAAXMBekK9DS25Rdna2/Pz8Ku3r0kNUhYWFSk1NVWxs7PkH9PBQbGystm3bVu4627Ztc+ovSXFxcY7++/btU3p6ulMff39/xcTEVDhmYmKi/P39HbeIiIhL3TQAAFCPufQQ1fHjx2Wz2RQaGurUHhoaqu+//77cddLT08vtn56e7lhe0lZRnwvNmzdPCQkJjvsle3B2/GVIlQmwocjKK1Jaxil3lwETKSiy6c7VuyRJy8b+RlaTX+qd7TX39qJutfb3UbtWtX+EJCcnR62XVK9vo/gsKqvVKqvVWqbd17uJfL3N8RQUFNkb5WeNoG5YvTwb1c8X2wtcmqbeni55fy2uwZguPUQVFBQkT09PZWRkOLVnZGQoLCys3HXCwsIq7V/yf03GBAAAjYtLA463t7eio6OVkpLiaLPb7UpJSVHfvn3LXadv375O/SUpOTnZ0b9Dhw4KCwtz6pOTk6Pt27dXOCYAAGhcXH58JiEhQRMmTFDv3r3Vp08fLVmyRHl5eZo0aZIkafz48WrTpo0SExMlSffee68GDhyop556SsOHD9fatWv1+eef66WXXpIkWSwWzZw5Uw899JAuu+wyx2ni4eHhGjFihKs3BwAANAAuDzijR4/WsWPHNH/+fKWnp6tXr15KSkpyTBI+ePCgPDzO70jq16+f1qxZo7/+9a/685//rMsuu0xvvfWW4xo4knTfffcpLy9PU6dOVVZWlvr376+kpKQaXQMHAACYV53MsJ0xY4ZmzJhR7rLNmzeXaRs1apRGjRpV4XgWi0WLFi3SokWLaqtEAABgInwWFQAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgA0Quk5Zxxfr0s9pKPZp91YDVD7CDgA0MhsTsvUn9d/7bif9E26Zq/7Ult+yHRjVUDtIuAAQCNyNPu0XvrfzzKM8212QzIMafnWn5WefabilYEGhIADAI3I5rRjslSwzCJpUxp7cWAOBBwAaESO5RbIqGCZcW45YAYEHABoRIKbWyvdgxPc3FqX5QAuQ8ABgEZkUJfgSvfgDO4SUpflAC5DwAGARqS1f1PdMaCjLBbJwyKn/+8Y0FFh/j7uLhGoFU3cXQAAoG4NvDxEXUL9tCktU8dyCxTc3KrBXUIINzAVAg4ANEJh/j66tU87d5cBuAyHqAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcABAUnrOGcfX61IP6Wj2aTdWA+BSuTTgnDx5UmPHjpWfn58CAgI0efJk5ebmVtr/7rvvVpcuXdS0aVO1a9dO99xzj7Kzs536WSyWMre1a9e6clMAmNjmtEz9ef3XjvtJ36Rr9rovteWHTDdWBeBSNHHl4GPHjtXRo0eVnJysoqIiTZo0SVOnTtWaNWvK7X/kyBEdOXJETz75pLp27aoDBw7ozjvv1JEjR/Sf//zHqe/KlSsVHx/vuB8QEODKTQFgUkezT+ul//0swzjfZj/39fKtP6tLqJ/C/H3cUxyAi+aygLNnzx4lJSVp586d6t27tyTpueee0/XXX68nn3xS4eHhZdbp1q2b3njjDcf9Tp066eGHH9a4ceNUXFysJk3OlxsQEKCwsDBXlQ+gkdicdkwWSUY5yyySNqVl6tY+7eq4KgCXymWHqLZt26aAgABHuJGk2NhYeXh4aPv27dUeJzs7W35+fk7hRpKmT5+uoKAg9enTRytWrJBhlPfydFZBQYFycnKcbgAgScdyC8oNN9LZ0HMst6AuywFQS1y2Byc9PV0hISHOD9akiVq2bKn09PRqjXH8+HEtXrxYU6dOdWpftGiRfvvb38rX11cbNmzQXXfdpdzcXN1zzz3ljpOYmKiFCxde3IYAMLXg5tZK9+AEN7fWcUUAakON9+DMnTu33Em+pW/ff//9JReWk5Oj4cOHq2vXrnrwwQedlj3wwAO69tprddVVV+n+++/XfffdpyeeeKLCsebNm6fs7GzH7dChQ5dcHwBzGNQluNI9OIO7hFSwFEB9VuM9OLNnz9bEiRMr7dOxY0eFhYUpM9P5DITi4mKdPHmyyrkzp06dUnx8vFq0aKH169fLy8ur0v4xMTFavHixCgoKZLWW/WvLarWW2w4Arf2b6o4BHbV868+OPTkl/98xoCMTjIEGqsYBJzg4WMHBwVX269u3r7KyspSamqro6GhJ0saNG2W32xUTE1Phejk5OYqLi5PVatU777wjH5+qX1x2796twMBAQgyAizLw8hB1CfXTprRMHcstUHBzqwZ3CSHcAA2Yy+bgXHHFFYqPj9eUKVO0bNkyFRUVacaMGRozZozjDKrDhw9ryJAheu2119SnTx/l5ORo6NChys/P1z//+U+nCcHBwcHy9PTUu+++q4yMDF1zzTXy8fFRcnKyHnnkEc2ZM8dVmwKgEQjz9+FsKcBEXHodnNWrV2vGjBkaMmSIPDw8NHLkSD377LOO5UVFRUpLS1N+fr4kadeuXY4zrDp37uw01r59+xQZGSkvLy8tXbpUs2bNkmEY6ty5s55++mlNmTLFlZsCAAAaEJcGnJYtW1Z4UT9JioyMdDq9e9CgQZWe7i1J8fHxThf4AwAAuBCfRQUAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEzHpQHn5MmTGjt2rPz8/BQQEKDJkycrNze30nUGDRoki8XidLvzzjud+hw8eFDDhw+Xr6+vQkJC9Kc//UnFxcWu3BQAANCANHHl4GPHjtXRo0eVnJysoqIiTZo0SVOnTtWaNWsqXW/KlClatGiR476vr6/ja5vNpuHDhyssLEyffvqpjh49qvHjx8vLy0uPPPKIy7YFAAA0HC4LOHv27FFSUpJ27typ3r17S5Kee+45XX/99XryyScVHh5e4bq+vr4KCwsrd9mGDRv03Xff6aOPPlJoaKh69eqlxYsX6/7779eDDz4ob29vl2wPAABoOFx2iGrbtm0KCAhwhBtJio2NlYeHh7Zv317puqtXr1ZQUJC6deumefPmKT8/32nc7t27KzQ01NEWFxennJwcffvtt+WOV1BQoJycHKcbAAAwL5ftwUlPT1dISIjzgzVpopYtWyo9Pb3C9f7v//5P7du3V3h4uL766ivdf//9SktL05tvvukYt3S4keS4X9G4iYmJWrhw4aVsDgAAaEBqHHDmzp2rxx57rNI+e/bsueiCpk6d6vi6e/fuat26tYYMGaKffvpJnTp1uqgx582bp4SEBMf9nJwcRUREXHSNAACgfqtxwJk9e7YmTpxYaZ+OHTsqLCxMmZmZTu3FxcU6efJkhfNryhMTEyNJ2rt3rzp16qSwsDDt2LHDqU9GRoYkVTiu1WqV1Wqt9mMCAICGrcYBJzg4WMHBwVX269u3r7KyspSamqro6GhJ0saNG2W32x2hpTp2794tSWrdurVj3IcffliZmZmOQ2DJycny8/NT165da7g1AADAjFw2yfiKK65QfHy8pkyZoh07duiTTz7RjBkzNGbMGMcZVIcPH1ZUVJRjj8xPP/2kxYsXKzU1Vfv379c777yj8ePHa8CAAerRo4ckaejQoeratav+3//7f/ryyy/14Ycf6q9//aumT5/OXhoAACDJxRf6W716taKiojRkyBBdf/316t+/v1566SXH8qKiIqWlpTnOkvL29tZHH32koUOHKioqSrNnz9bIkSP17rvvOtbx9PTUe++9J09PT/Xt21fjxo3T+PHjna6bAwAAGjeXXuivZcuWlV7ULzIyUoZhOO5HRERoy5YtVY7bvn17ffDBB7VSIwAAMB8+iwpAudJzzji+Xpd6SEezT7uxGgCoGQIOgDI2p2Xqz+u/dtxP+iZds9d9qS0/ZFayFgDUHwQcAE6OZp/WS//7WaWOHstuSIYhLd/6s9Kzz1S8MgDUEwQcAE42px2TpYJlFkmb0tiLA6D+I+AAcHIst0BGBcuMc8sBoL4j4ABwEtzcWukenODmXG8KQP1HwAHgZFCX4Er34AzuElLBUgCoPwg4AJy09m+qOwZ0lMUieVjk9P8dAzoqzN/H3SUCQJVceqE/AA3TwMtD1CXUT5vSMnUst0DBza0a3CWEcAOgwSDgAChXmL+Pbu3Tzt1lAMBF4RAVAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwnSbuLgC1w8fLU+EBPrIbkt0wZBiSYRiyG5IhQ3b72f+NUsvt55ZL5/qVWgYAQENGwDGJpt6eat+qWa2MZZQKQIZKB6aSUHS23TgXmioMVcYFY5Ua09Gv9Jjn7lc4piOQAQBQOQIOyrBYLLJYJA9Z3F1KuUqCTunQJJ3fI1U6EFUZ1CoJVSXrlLf3q/R4pfeAEcIAoH4g4KDBsVgs8rRInvU0gEnnw5VTsFLZQFUSpIwLQ5TkFLQu3PtVepwq16nqsUvVymFKAGZBwAFcoGQvmFS/g1hlSvZGZeUX6sDJfBUU2d1dEgBUGwEHQLlK9pS1am5VoK+3jmSf1pGsM7JxDA5AA8Bp4gCq5OFhUdtAX/WKCFBwC6u7ywGAKrk04Jw8eVJjx46Vn5+fAgICNHnyZOXm5lbYf//+/ed27Ze9rVu3ztGvvOVr16515aYAkOTdxEOdQ5qre1t/tfBhBzCA+sulr1Bjx47V0aNHlZycrKKiIk2aNElTp07VmjVryu0fERGho0ePOrW99NJLeuKJJzRs2DCn9pUrVyo+Pt5xPyAgoNbrB1C+5tYm6tbGX8dzC3SQ+TkA6iGXBZw9e/YoKSlJO3fuVO/evSVJzz33nK6//no9+eSTCg8PL7OOp6enwsLCnNrWr1+vW265Rc2bN3dqDwgIKNMXQN0Kam5VS+bnAKiHXHaIatu2bQoICHCEG0mKjY2Vh4eHtm/fXq0xUlNTtXv3bk2ePLnMsunTpysoKEh9+vTRihUrZFRyXmtBQYFycnKcbgBqB/NzANRHLtuDk56erpCQEOcHa9JELVu2VHp6erXGeOWVV3TFFVeoX79+Tu2LFi3Sb3/7W/n6+mrDhg266667lJubq3vuuafccRITE7Vw4cKL2xAA1VIyPyfM30f7j+fp1Jlid5cEoBGr8R6cuXPnVjgRuOT2/fffX3Jhp0+f1po1a8rde/PAAw/o2muv1VVXXaX7779f9913n5544okKx5o3b56ys7Mdt0OHDl1yfQDKVzI/57LQ5rJ6caImAPeo8R6c2bNna+LEiZX26dixo8LCwpSZmenUXlxcrJMnT1Zr7sx//vMf5efna/z48VX2jYmJ0eLFi1VQUCCrtewucqvVWm47ANdhfg4Ad6pxwAkODlZwcHCV/fr27ausrCylpqYqOjpakrRx40bZ7XbFxMRUuf4rr7yiP/zhD9V6rN27dyswMJAQA9QzJfNzgltYdejkaR07VeDukgA0Ei6bg3PFFVcoPj5eU6ZM0bJly1RUVKQZM2ZozJgxjjOoDh8+rCFDhui1115Tnz59HOvu3btXW7du1QcffFBm3HfffVcZGRm65ppr5OPjo+TkZD3yyCOaM2eOqzYFwCWyNvFkfg6AOuXS6+CsXr1aM2bM0JAhQ+Th4aGRI0fq2WefdSwvKipSWlqa8vPzndZbsWKF2rZtq6FDh5YZ08vLS0uXLtWsWbNkGIY6d+6sp59+WlOmTHHlpgCoBVw/B0BdsRiVnV9tUjk5OfL391d2drb8/PzcXQ7QKNntBvNzAJMKD/BR+1bNan3cmrx/c4oDALcomZ/TM8JfwS283V0OAJMh4ABwq7Pzc1qoWxs/Pt8KQK0h4ACoF1r4eKlbG391Dmku7ya8NAG4NPy5BKBeCW5hVatm3jqcdVpHs5mfA+Di8GcSgHrHw8OiiJbMzwFw8Qg4AOot5ucAuFgEHAD1HvNzANQUfxIBaDCCW1jVspm3jjA/B0AV+FMIQIPiyfwcANVAwAHQIDE/B0BlCDgAGjTm5wAoD3/2ADCF0vNzjmSdFtNzgMaNP3cAmEbJ/Jxe7QKYnwM0cgQcAKbD/BwABBwApsX8HKDx4k8bAKbH/Byg8eFPGgCNQun5OUHNmZ8DmB0BB0CjYm3iqctCmZ8DmB0BB0CjxPwcwNz48wVAo8b8HMCcCDgAGr2S+TnBLaw6kVeowmK7imx2x/9FNoMP9gQaGAIOAJzj4+WpNgFNy11msxsqLLar0FYSeuwqKjZU6BSEzoYhAO5HwAGAavD0sKipt6eayrPSfoZhnAtBRrl7gopsdhUU21Vss3M4DHAhAg4A1CKLxSJrE09Zm0iyVt63zJ4gm11FJaGoVCAqZq8QUGMEHABwEy9PD3l5ekhVXJbHZjfOh57i88GnvMNjBlkIkETAAYB6z9PDIk8PT/l4VX14zBF+ytkT5JhDVMzhMZgfAQcATMJisci7iUXeTTzUrIrDY8Ulwcdul2GcDUeGIdkNQ4bO/q+z/862Gef/P7vIuf/59S9YVp3+jjaXP0VoRAg4ANAINfH0UBNPVTlpui6VF7JKQo/duDAgXXwoKwlYkkoFq3P3DTmFLcc6F9w/X/PZNud1qzk2wc6lCDgAgHrBYrHIYpE8ZHF3KW5hlAp0jr1cjmUXG650LvRVPbaclpcd+8Iay6urZOzmVvfHC/dXAAAAHAGvVIu7SjEFPoAFAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYjssCzsMPP6x+/frJ19dXAQEB1VrHMAzNnz9frVu3VtOmTRUbG6sff/zRqc/Jkyc1duxY+fn5KSAgQJMnT1Zubq4LtgAAADRULgs4hYWFGjVqlKZNm1btdR5//HE9++yzWrZsmbZv365mzZopLi5OZ86ccfQZO3asvv32WyUnJ+u9997T1q1bNXXqVFdsAgAAaKAshuHaayiuWrVKM2fOVFZWVqX9DMNQeHi4Zs+erTlz5kiSsrOzFRoaqlWrVmnMmDHas2ePunbtqp07d6p3796SpKSkJF1//fX65ZdfFB4eXq2acnJy5O/vr+zsbPn5+V3S9gEAgLpRk/fvenOhv3379ik9PV2xsbGONn9/f8XExGjbtm0aM2aMtm3bpoCAAEe4kaTY2Fh5eHho+/btuummm8odu6CgQAUFBY772dnZks4+UQAAoGEoed+uzr6ZehNw0tPTJUmhoaFO7aGhoY5l6enpCgkJcVrepEkTtWzZ0tGnPImJiVq4cGGZ9oiIiEstGwAA1LFTp07J39+/0j41Cjhz587VY489VmmfPXv2KCoqqibDuty8efOUkJDguG+323Xy5Em1atVKFkvtXgo7JydHEREROnToUKM4/MX2mhvba25sr7mZcXsNw9CpU6eqNSWlRgFn9uzZmjhxYqV9OnbsWJMhHcLCwiRJGRkZat26taM9IyNDvXr1cvTJzMx0Wq+4uFgnT550rF8eq9Uqq9Xq1FbdM7sulp+fn2l+oKqD7TU3ttfc2F5zM9v2VrXnpkSNAk5wcLCCg4MvqqCqdOjQQWFhYUpJSXEEmpycHG3fvt1xJlbfvn2VlZWl1NRURUdHS5I2btwou92umJgYl9QFAAAaHpedJn7w4EHt3r1bBw8elM1m0+7du7V7926na9ZERUVp/fr1ks5+iurMmTP10EMP6Z133tHXX3+t8ePHKzw8XCNGjJAkXXHFFYqPj9eUKVO0Y8cOffLJJ5oxY4bGjBlT7TOoAACA+blskvH8+fP16quvOu5fddVVkqRNmzZp0KBBkqS0tDTHGU2SdN999ykvL09Tp05VVlaW+vfvr6SkJPn4+Dj6rF69WjNmzNCQIUPk4eGhkSNH6tlnn3XVZtSY1WrVggULyhwSMyu219zYXnNje82tsW3vhVx+HRwAAIC6xmdRAQAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHg1KKlS5cqMjJSPj4+iomJ0Y4dO9xdksts3bpVN9xwg8LDw2WxWPTWW2+5uySXSkxM1NVXX60WLVooJCREI0aMUFpamrvLcpkXX3xRPXr0cFwBtW/fvvrvf//r7rLqxKOPPuq4LpdZPfjgg7JYLE63+vYRO7Xt8OHDGjdunFq1aqWmTZuqe/fu+vzzz91dlktERkaW+f5aLBZNnz7d3aXVKQJOLXn99deVkJCgBQsWaNeuXerZs6fi4uLKfLSEWeTl5alnz55aunSpu0upE1u2bNH06dP12WefKTk5WUVFRRo6dKjy8vLcXZpLtG3bVo8++qhSU1P1+eef67e//a1uvPFGffvtt+4uzaV27typ5cuXq0ePHu4uxeWuvPJKHT161HH7+OOP3V2Sy/z666+69tpr5eXlpf/+97/67rvv9NRTTykwMNDdpbnEzp07nb63ycnJkqRRo0a5ubI6ZqBW9OnTx5g+fbrjvs1mM8LDw43ExEQ3VlU3JBnr1693dxl1KjMz05BkbNmyxd2l1JnAwEDj73//u7vLcJlTp04Zl112mZGcnGwMHDjQuPfee91dksssWLDA6Nmzp7vLqDP333+/0b9/f3eX4Tb33nuv0alTJ8Nut7u7lDrFHpxaUFhYqNTUVMXGxjraPDw8FBsbq23btrmxMrhKyRW4W7Zs6eZKXM9ms2nt2rXKy8tT37593V2Oy0yfPl3Dhw93+j02sx9//FHh4eHq2LGjxo4dq4MHD7q7JJd555131Lt3b40aNUohISG66qqr9PLLL7u7rDpRWFiof/7zn7rttttksVjcXU6dIuDUguPHj8tmsyk0NNSpPTQ0VOnp6W6qCq5it9s1c+ZMXXvtterWrZu7y3GZr7/+Ws2bN5fVatWdd96p9evXq2vXru4uyyXWrl2rXbt2KTEx0d2l1ImYmBitWrVKSUlJevHFF7Vv3z5dd911OnXqlLtLc4mff/5ZL774oi677DJ9+OGHmjZtmu655x6njxMyq7feektZWVmaOHGiu0upcy77LCrArKZPn65vvvnG1HMWJKlLly7avXu3srOz9Z///EcTJkzQli1bTBdyDh06pHvvvVfJyclOn3tnZsOGDXN83aNHD8XExKh9+/b697//rcmTJ7uxMtew2+3q3bu3HnnkEUlnPxvxm2++0bJlyzRhwgQ3V+dar7zyioYNG9YoP5CaPTi1ICgoSJ6ensrIyHBqz8jIUFhYmJuqgivMmDFD7733njZt2qS2bdu6uxyX8vb2VufOnRUdHa3ExET17NlTzzzzjLvLqnWpqanKzMzUb37zGzVp0kRNmjTRli1b9Oyzz6pJkyay2WzuLtHlAgICdPnll2vv3r3uLsUlWrduXSaYX3HFFaY+LCdJBw4c0EcffaTbb7/d3aW4BQGnFnh7eys6OlopKSmONrvdrpSUFFPPWWhMDMPQjBkztH79em3cuFEdOnRwd0l1zm63q6CgwN1l1LohQ4bo66+/1u7dux233r17a+zYsdq9e7c8PT3dXaLL5ebm6qefflLr1q3dXYpLXHvttWUu6/DDDz+offv2bqqobqxcuVIhISEaPny4u0txCw5R1ZKEhARNmDBBvXv3Vp8+fbRkyRLl5eVp0qRJ7i7NJXJzc53+2tu3b592796tli1bql27dm6szDWmT5+uNWvW6O2331aLFi0cc6v8/f3VtGlTN1dX++bNm6dhw4apXbt2OnXqlNasWaPNmzfrww8/dHdpta5FixZl5lI1a9ZMrVq1Mu0cqzlz5uiGG25Q+/btdeTIES1YsECenp669dZb3V2aS8yaNUv9+vXTI488oltuuUU7duzQSy+9pJdeesndpbmM3W7XypUrNWHCBDVp0kjf6t19GpeZPPfcc0a7du0Mb29vo0+fPsZnn33m7pJcZtOmTYakMrcJEya4uzSXKG9bJRkrV650d2kucdtttxnt27c3vL29jeDgYGPIkCHGhg0b3F1WnTH7aeKjR482WrdubXh7extt2rQxRo8ebezdu9fdZbnUu+++a3Tr1s2wWq1GVFSU8dJLL7m7JJf68MMPDUlGWlqau0txG4thGIZ7ohUAAIBrMAcHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYDgEHAACYzv8HU56572PUPHoAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Figure AutoCorrelations and Partial AutoCorrelations\n",
"import seaborn as sns\n",
"from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
"\n",
"for i in range(batch-cnt_thrown_idx):\n",
" print (i)\n",
"# Plot the autocorrelation function (ACF) \n",
" plt.figure(figsize = (12, 6))\n",
" plot_acf(values[i], lags = sl - 1)\n",
" plt.title('Autocorrelation Function (ACF)')\n",
" plt.show()\n",
" \n",
"# Plot the partial autocorrelation function (PACF)\n",
" # plt.figure(figsize = (12, 6))\n",
" # plot_pacf(values[round(i/2)], lags = 60)\n",
" # plt.title('Partial Autocorrelation Function (PACF)')\n",
" # plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 158,
"id": "4c6cf92b-58fd-4642-81ee-d7af73c3e75f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"===================================================\n",
"sequence length: 8\n",
"batch size: 60\n",
"no. of variables: 8\n",
"no. of predicted variables: 1\n",
"how many steps forward to predict: 1\n",
"===================================================\n"
]
}
],
"source": [
"print (\"===================================================\")\n",
"print (\"sequence length: \", sl)\n",
"print (\"batch size: \", batch-cnt_thrown_idx)\n",
"print (\"no. of variables: \", n_features)\n",
"print (\"no. of predicted variables: \", n_out)\n",
"print (\"how many steps forward to predict: \", frwd)\n",
"print (\"===================================================\")"
]
},
{
"cell_type": "code",
"execution_count": 174,
"id": "4021e394-635b-4493-8a89-a658e1229325",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\">Model: \"sequential_46\"</span>\n",
"</pre>\n"
],
"text/plain": [
"\u001b[1mModel: \"sequential_46\"\u001b[0m\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓\n",
"┃<span style=\"font-weight: bold\"> Layer (type) </span>┃<span style=\"font-weight: bold\"> Output Shape </span>┃<span style=\"font-weight: bold\"> Param # </span>┃\n",
"┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
"│ lstm_88 (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">LSTM</span>) │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">32</span>) │ <span style=\"color: #00af00; text-decoration-color: #00af00\">5,248</span> │\n",
"├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
"│ repeat_vector_43 (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">RepeatVector</span>) │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">1</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">32</span>) │ <span style=\"color: #00af00; text-decoration-color: #00af00\">0</span> │\n",
"├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
"│ lstm_89 (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">LSTM</span>) │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">1</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">32</span>) │ <span style=\"color: #00af00; text-decoration-color: #00af00\">8,320</span> │\n",
"├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
"│ time_distributed_43 │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">1</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">1</span>) │ <span style=\"color: #00af00; text-decoration-color: #00af00\">33</span> │\n",
"│ (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">TimeDistributed</span>) │ │ │\n",
"└─────────────────────────────────┴────────────────────────┴───────────────┘\n",
"</pre>\n"
],
"text/plain": [
"┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓\n",
"┃\u001b[1m \u001b[0m\u001b[1mLayer (type) \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mOutput Shape \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1m Param #\u001b[0m\u001b[1m \u001b[0m┃\n",
"┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
"│ lstm_88 (\u001b[38;5;33mLSTM\u001b[0m) │ (\u001b[38;5;45mNone\u001b[0m, \u001b[38;5;34m32\u001b[0m) │ \u001b[38;5;34m5,248\u001b[0m │\n",
"├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
"│ repeat_vector_43 (\u001b[38;5;33mRepeatVector\u001b[0m) │ (\u001b[38;5;45mNone\u001b[0m, \u001b[38;5;34m1\u001b[0m, \u001b[38;5;34m32\u001b[0m) │ \u001b[38;5;34m0\u001b[0m │\n",
"├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
"│ lstm_89 (\u001b[38;5;33mLSTM\u001b[0m) │ (\u001b[38;5;45mNone\u001b[0m, \u001b[38;5;34m1\u001b[0m, \u001b[38;5;34m32\u001b[0m) │ \u001b[38;5;34m8,320\u001b[0m │\n",
"├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
"│ time_distributed_43 │ (\u001b[38;5;45mNone\u001b[0m, \u001b[38;5;34m1\u001b[0m, \u001b[38;5;34m1\u001b[0m) │ \u001b[38;5;34m33\u001b[0m │\n",
"│ (\u001b[38;5;33mTimeDistributed\u001b[0m) │ │ │\n",
"└─────────────────────────────────┴────────────────────────┴───────────────┘\n"
]
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"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\"> Total params: </span><span style=\"color: #00af00; text-decoration-color: #00af00\">13,601</span> (53.13 KB)\n",
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"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\"> Trainable params: </span><span style=\"color: #00af00; text-decoration-color: #00af00\">13,601</span> (53.13 KB)\n",
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"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\"> Non-trainable params: </span><span style=\"color: #00af00; text-decoration-color: #00af00\">0</span> (0.00 B)\n",
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"Epoch 1/500\n",
"3/3 - 6s - 2s/step - loss: 1577620.1250 - val_loss: 1035992.6875\n",
"Epoch 2/500\n",
"3/3 - 0s - 18ms/step - loss: 1006795.6875 - val_loss: 712147.4375\n",
"Epoch 3/500\n",
"3/3 - 0s - 17ms/step - loss: 922834.5000 - val_loss: 511394.2500\n",
"Epoch 4/500\n",
"3/3 - 0s - 17ms/step - loss: 428416.4062 - val_loss: 420227.0625\n",
"Epoch 5/500\n",
"3/3 - 0s - 18ms/step - loss: 406738.7812 - val_loss: 336247.9062\n",
"Epoch 6/500\n",
"3/3 - 0s - 17ms/step - loss: 214966.7500 - val_loss: 284008.7188\n",
"Epoch 7/500\n",
"3/3 - 0s - 17ms/step - loss: 272694.0312 - val_loss: 105427.6406\n",
"Epoch 8/500\n",
"3/3 - 0s - 17ms/step - loss: 241169.9531 - val_loss: 109991.3984\n",
"Epoch 9/500\n",
"3/3 - 0s - 17ms/step - loss: 176282.8281 - val_loss: 115337.9297\n",
"Epoch 10/500\n",
"3/3 - 0s - 17ms/step - loss: 321056.3750 - val_loss: 78467.2422\n",
"Epoch 11/500\n",
"3/3 - 0s - 17ms/step - loss: 200496.0000 - val_loss: 78079.6953\n",
"Epoch 12/500\n",
"3/3 - 0s - 17ms/step - loss: 215983.7031 - val_loss: 47101.2930\n",
"Epoch 13/500\n",
"3/3 - 0s - 17ms/step - loss: 96757.1328 - val_loss: 39729.7539\n",
"Epoch 14/500\n",
"3/3 - 0s - 17ms/step - loss: 79489.1172 - val_loss: 34956.5977\n",
"Epoch 15/500\n",
"3/3 - 0s - 17ms/step - loss: 148872.8281 - val_loss: 47535.5898\n",
"Epoch 16/500\n",
"3/3 - 0s - 17ms/step - loss: 144388.3125 - val_loss: 49040.0977\n",
"Epoch 17/500\n",
"3/3 - 0s - 17ms/step - loss: 197894.4531 - val_loss: 47830.2188\n",
"Epoch 18/500\n",
"3/3 - 0s - 17ms/step - loss: 243352.5000 - val_loss: 49264.0234\n",
"Epoch 19/500\n",
"3/3 - 0s - 17ms/step - loss: 221788.1094 - val_loss: 51334.2344\n",
"Epoch 20/500\n",
"3/3 - 0s - 17ms/step - loss: 267164.3438 - val_loss: 46634.6328\n",
"Epoch 21/500\n",
"3/3 - 0s - 17ms/step - loss: 158554.4688 - val_loss: 38950.9688\n",
"Epoch 22/500\n",
"3/3 - 0s - 17ms/step - loss: 184688.6094 - val_loss: 35354.6328\n",
"Epoch 23/500\n",
"3/3 - 0s - 17ms/step - loss: 360960.1562 - val_loss: 31703.1777\n",
"Epoch 24/500\n",
"3/3 - 0s - 17ms/step - loss: 363645.5938 - val_loss: 37171.2617\n",
"Epoch 25/500\n",
"3/3 - 0s - 17ms/step - loss: 343539.7812 - val_loss: 45172.4453\n",
"Epoch 26/500\n",
"3/3 - 0s - 17ms/step - loss: 215831.2969 - val_loss: 47661.1719\n",
"Epoch 27/500\n",
"3/3 - 0s - 17ms/step - loss: 139321.3438 - val_loss: 42291.2461\n",
"Epoch 28/500\n",
"3/3 - 0s - 17ms/step - loss: 113726.1641 - val_loss: 45771.2227\n",
"Epoch 29/500\n",
"3/3 - 0s - 17ms/step - loss: 120703.1250 - val_loss: 59627.6445\n",
"Epoch 30/500\n",
"3/3 - 0s - 17ms/step - loss: 90586.1250 - val_loss: 57300.3008\n",
"Epoch 31/500\n",
"3/3 - 0s - 17ms/step - loss: 113709.4141 - val_loss: 49259.7852\n",
"Epoch 32/500\n",
"3/3 - 0s - 17ms/step - loss: 87760.8359 - val_loss: 71564.4375\n",
"Epoch 33/500\n",
"3/3 - 0s - 17ms/step - loss: 102664.3516 - val_loss: 73859.9297\n",
"Epoch 34/500\n",
"3/3 - 0s - 17ms/step - loss: 90722.9609 - val_loss: 73659.6172\n",
"Epoch 35/500\n",
"3/3 - 0s - 17ms/step - loss: 79201.2266 - val_loss: 73161.0859\n",
"Epoch 36/500\n",
"3/3 - 0s - 17ms/step - loss: 67643.6562 - val_loss: 62967.1055\n",
"Epoch 37/500\n",
"3/3 - 0s - 17ms/step - loss: 63248.0117 - val_loss: 60570.9492\n",
"Epoch 38/500\n",
"3/3 - 0s - 17ms/step - loss: 70526.8828 - val_loss: 58385.6758\n",
"Epoch 39/500\n",
"3/3 - 0s - 17ms/step - loss: 63774.8242 - val_loss: 56600.7695\n",
"Epoch 40/500\n",
"3/3 - 0s - 17ms/step - loss: 70474.1641 - val_loss: 55161.8555\n",
"Epoch 41/500\n",
"3/3 - 0s - 17ms/step - loss: 92072.3516 - val_loss: 71176.0859\n",
"Epoch 42/500\n",
"3/3 - 0s - 17ms/step - loss: 82258.6172 - val_loss: 73632.4453\n",
"Epoch 43/500\n",
"3/3 - 0s - 17ms/step - loss: 84066.4062 - val_loss: 56627.8086\n",
"Epoch 44/500\n",
"3/3 - 0s - 17ms/step - loss: 61725.2617 - val_loss: 56477.7148\n",
"Epoch 45/500\n",
"3/3 - 0s - 17ms/step - loss: 66950.0547 - val_loss: 51456.1953\n",
"Epoch 46/500\n",
"3/3 - 0s - 17ms/step - loss: 64535.0430 - val_loss: 53841.9258\n",
"Epoch 47/500\n",
"3/3 - 0s - 17ms/step - loss: 51982.5352 - val_loss: 52132.7031\n",
"Epoch 48/500\n",
"3/3 - 0s - 17ms/step - loss: 72170.8516 - val_loss: 128972.2031\n",
"Epoch 49/500\n",
"3/3 - 0s - 17ms/step - loss: 76506.0547 - val_loss: 124632.0781\n",
"Epoch 50/500\n",
"3/3 - 0s - 17ms/step - loss: 69145.2188 - val_loss: 115954.6484\n",
"Epoch 51/500\n",
"3/3 - 0s - 17ms/step - loss: 74869.0078 - val_loss: 113876.5391\n",
"Epoch 52/500\n",
"3/3 - 0s - 17ms/step - loss: 57064.9062 - val_loss: 65494.2266\n",
"Epoch 53/500\n",
"3/3 - 0s - 17ms/step - loss: 46040.5977 - val_loss: 59621.1836\n",
"Epoch 54/500\n",
"3/3 - 0s - 17ms/step - loss: 38510.9258 - val_loss: 37471.7539\n",
"Epoch 55/500\n",
"3/3 - 0s - 17ms/step - loss: 34913.2969 - val_loss: 34535.2891\n",
"Epoch 56/500\n",
"3/3 - 0s - 17ms/step - loss: 35200.2070 - val_loss: 35531.7891\n",
"Epoch 57/500\n",
"3/3 - 0s - 17ms/step - loss: 28312.3066 - val_loss: 31874.5664\n",
"Epoch 58/500\n",
"3/3 - 0s - 17ms/step - loss: 31373.1641 - val_loss: 29488.3574\n",
"Epoch 59/500\n",
"3/3 - 0s - 17ms/step - loss: 23213.3887 - val_loss: 27704.2812\n",
"Epoch 60/500\n",
"3/3 - 0s - 17ms/step - loss: 21196.7129 - val_loss: 25269.4609\n",
"Epoch 61/500\n",
"3/3 - 0s - 17ms/step - loss: 22167.6895 - val_loss: 22155.5547\n",
"Epoch 62/500\n",
"3/3 - 0s - 17ms/step - loss: 21443.4980 - val_loss: 23349.7520\n",
"Epoch 63/500\n",
"3/3 - 0s - 17ms/step - loss: 17979.2812 - val_loss: 22404.6660\n",
"Epoch 64/500\n",
"3/3 - 0s - 17ms/step - loss: 17518.4883 - val_loss: 21413.2598\n",
"Epoch 65/500\n",
"3/3 - 0s - 17ms/step - loss: 17048.6211 - val_loss: 20634.8203\n",
"Epoch 66/500\n",
"3/3 - 0s - 17ms/step - loss: 16080.3643 - val_loss: 19911.9844\n",
"Epoch 67/500\n",
"3/3 - 0s - 17ms/step - loss: 15101.1992 - val_loss: 19594.3887\n",
"Epoch 68/500\n",
"3/3 - 0s - 17ms/step - loss: 15706.7334 - val_loss: 19700.5840\n",
"Epoch 69/500\n",
"3/3 - 0s - 17ms/step - loss: 14665.1514 - val_loss: 18448.5039\n",
"Epoch 70/500\n",
"3/3 - 0s - 17ms/step - loss: 14265.4922 - val_loss: 17777.3262\n",
"Epoch 71/500\n",
"3/3 - 0s - 17ms/step - loss: 12902.4658 - val_loss: 17351.3340\n",
"Epoch 72/500\n",
"3/3 - 0s - 17ms/step - loss: 11572.8047 - val_loss: 16956.3965\n",
"Epoch 73/500\n",
"3/3 - 0s - 17ms/step - loss: 12027.3916 - val_loss: 16569.5879\n",
"Epoch 74/500\n",
"3/3 - 0s - 17ms/step - loss: 10551.6729 - val_loss: 16271.1582\n",
"Epoch 75/500\n",
"3/3 - 0s - 17ms/step - loss: 10439.2451 - val_loss: 16044.6436\n",
"Epoch 76/500\n",
"3/3 - 0s - 17ms/step - loss: 11071.5596 - val_loss: 15823.5957\n",
"Epoch 77/500\n",
"3/3 - 0s - 17ms/step - loss: 10418.6670 - val_loss: 15599.3906\n",
"Epoch 78/500\n",
"3/3 - 0s - 17ms/step - loss: 10553.6680 - val_loss: 15402.1904\n",
"Epoch 79/500\n",
"3/3 - 0s - 17ms/step - loss: 9883.8818 - val_loss: 15189.1172\n",
"Epoch 80/500\n",
"3/3 - 0s - 17ms/step - loss: 9617.8359 - val_loss: 15025.6895\n",
"Epoch 81/500\n",
"3/3 - 0s - 17ms/step - loss: 9512.1338 - val_loss: 14899.7578\n",
"Epoch 82/500\n",
"3/3 - 0s - 17ms/step - loss: 9044.3662 - val_loss: 14730.1592\n",
"Epoch 83/500\n",
"3/3 - 0s - 17ms/step - loss: 9315.6680 - val_loss: 14579.1660\n",
"Epoch 84/500\n",
"3/3 - 0s - 17ms/step - loss: 8551.9814 - val_loss: 14447.9062\n",
"Epoch 85/500\n",
"3/3 - 0s - 17ms/step - loss: 9113.3145 - val_loss: 14297.2646\n",
"Epoch 86/500\n",
"3/3 - 0s - 17ms/step - loss: 8694.2236 - val_loss: 14157.2393\n",
"Epoch 87/500\n",
"3/3 - 0s - 17ms/step - loss: 8342.2139 - val_loss: 14043.7100\n",
"Epoch 88/500\n",
"3/3 - 0s - 17ms/step - loss: 8992.1514 - val_loss: 13919.0566\n",
"Epoch 89/500\n",
"3/3 - 0s - 17ms/step - loss: 7541.2388 - val_loss: 13865.8203\n",
"Epoch 90/500\n",
"3/3 - 0s - 17ms/step - loss: 7780.2798 - val_loss: 13785.7188\n",
"Epoch 91/500\n",
"3/3 - 0s - 17ms/step - loss: 8247.5918 - val_loss: 13762.8584\n",
"Epoch 92/500\n",
"3/3 - 0s - 17ms/step - loss: 7518.6812 - val_loss: 13678.4062\n",
"Epoch 93/500\n",
"3/3 - 0s - 17ms/step - loss: 8522.7119 - val_loss: 13593.0723\n",
"Epoch 94/500\n",
"3/3 - 0s - 17ms/step - loss: 6849.8789 - val_loss: 13488.4033\n",
"Epoch 95/500\n",
"3/3 - 0s - 17ms/step - loss: 7273.5195 - val_loss: 13380.3350\n",
"Epoch 96/500\n",
"3/3 - 0s - 17ms/step - loss: 7337.6196 - val_loss: 13316.9297\n",
"Epoch 97/500\n",
"3/3 - 0s - 17ms/step - loss: 7175.2280 - val_loss: 13242.3535\n",
"Epoch 98/500\n",
"3/3 - 0s - 19ms/step - loss: 7500.2827 - val_loss: 13176.6484\n",
"Epoch 99/500\n",
"3/3 - 0s - 17ms/step - loss: 6619.0620 - val_loss: 13090.2676\n",
"Epoch 100/500\n",
"3/3 - 0s - 17ms/step - loss: 6902.8594 - val_loss: 12976.0146\n",
"Epoch 101/500\n",
"3/3 - 0s - 17ms/step - loss: 7102.5073 - val_loss: 12917.9521\n",
"Epoch 102/500\n",
"3/3 - 0s - 17ms/step - loss: 7205.6382 - val_loss: 12824.3486\n",
"Epoch 103/500\n",
"3/3 - 0s - 17ms/step - loss: 6483.1211 - val_loss: 12659.1982\n",
"Epoch 104/500\n",
"3/3 - 0s - 17ms/step - loss: 7135.5410 - val_loss: 12507.6357\n",
"Epoch 105/500\n",
"3/3 - 0s - 17ms/step - loss: 6698.7788 - val_loss: 12316.6436\n",
"Epoch 106/500\n",
"3/3 - 0s - 17ms/step - loss: 6532.5171 - val_loss: 12149.9092\n",
"Epoch 107/500\n",
"3/3 - 0s - 17ms/step - loss: 6785.1406 - val_loss: 11996.8418\n",
"Epoch 108/500\n",
"3/3 - 0s - 17ms/step - loss: 7204.9927 - val_loss: 11829.5898\n",
"Epoch 109/500\n",
"3/3 - 0s - 17ms/step - loss: 5881.8110 - val_loss: 11715.4062\n",
"Epoch 110/500\n",
"3/3 - 0s - 17ms/step - loss: 6347.8042 - val_loss: 11649.9619\n",
"Epoch 111/500\n",
"3/3 - 0s - 17ms/step - loss: 5860.5815 - val_loss: 11653.6641\n",
"Epoch 112/500\n",
"3/3 - 0s - 17ms/step - loss: 6514.9790 - val_loss: 11706.1748\n",
"Epoch 113/500\n",
"3/3 - 0s - 17ms/step - loss: 5974.7368 - val_loss: 11781.4209\n",
"Epoch 114/500\n",
"3/3 - 0s - 17ms/step - loss: 6258.1758 - val_loss: 11847.5732\n",
"Epoch 115/500\n",
"3/3 - 0s - 17ms/step - loss: 5973.9233 - val_loss: 11875.2539\n",
"Epoch 116/500\n",
"3/3 - 0s - 17ms/step - loss: 6185.3374 - val_loss: 11884.4131\n",
"Epoch 117/500\n",
"3/3 - 0s - 17ms/step - loss: 5806.7749 - val_loss: 11862.1357\n",
"Epoch 118/500\n",
"3/3 - 0s - 17ms/step - loss: 6040.7817 - val_loss: 11792.9082\n",
"Epoch 119/500\n",
"3/3 - 0s - 17ms/step - loss: 5374.0913 - val_loss: 11854.8457\n",
"Epoch 120/500\n",
"3/3 - 0s - 17ms/step - loss: 6490.8823 - val_loss: 11988.4209\n",
"Epoch 121/500\n",
"3/3 - 0s - 17ms/step - loss: 6152.3477 - val_loss: 11620.7148\n",
"Epoch 122/500\n",
"3/3 - 0s - 17ms/step - loss: 5583.0962 - val_loss: 11533.5322\n",
"Epoch 123/500\n",
"3/3 - 0s - 17ms/step - loss: 5360.0103 - val_loss: 11507.3887\n",
"Epoch 124/500\n",
"3/3 - 0s - 17ms/step - loss: 5370.2061 - val_loss: 11479.8779\n",
"Epoch 125/500\n",
"3/3 - 0s - 17ms/step - loss: 5244.2739 - val_loss: 11459.6963\n",
"Epoch 126/500\n",
"3/3 - 0s - 17ms/step - loss: 4844.1953 - val_loss: 11477.1514\n",
"Epoch 127/500\n",
"3/3 - 0s - 17ms/step - loss: 6969.0991 - val_loss: 12250.8584\n",
"Epoch 128/500\n",
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"Epoch 131/500\n",
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"Epoch 132/500\n",
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"Epoch 133/500\n",
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"Epoch 134/500\n",
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"Epoch 135/500\n",
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"Epoch 136/500\n",
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"Epoch 137/500\n",
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"Epoch 138/500\n",
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"Epoch 140/500\n",
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"Epoch 143/500\n",
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"Epoch 144/500\n",
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"Epoch 146/500\n",
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"Epoch 147/500\n",
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"Epoch 148/500\n",
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"Epoch 149/500\n",
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"Epoch 150/500\n",
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"Epoch 151/500\n",
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"Epoch 152/500\n",
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"Epoch 153/500\n",
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"Epoch 154/500\n",
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"Epoch 155/500\n",
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"Epoch 156/500\n",
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"Epoch 157/500\n",
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"Epoch 158/500\n",
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"Epoch 159/500\n",
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"Epoch 160/500\n",
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"Epoch 161/500\n",
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"Epoch 162/500\n",
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"Epoch 163/500\n",
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"Epoch 164/500\n",
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"Epoch 165/500\n",
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"Epoch 166/500\n",
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"Epoch 167/500\n",
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"Epoch 168/500\n",
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"Epoch 169/500\n",
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"Epoch 170/500\n",
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"Epoch 171/500\n",
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"Epoch 172/500\n",
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"Epoch 173/500\n",
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"Epoch 174/500\n",
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"Epoch 175/500\n",
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"Epoch 176/500\n",
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"Epoch 177/500\n",
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"Epoch 178/500\n",
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"Epoch 179/500\n",
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"Epoch 180/500\n",
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"Epoch 181/500\n",
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"Epoch 182/500\n",
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"Epoch 183/500\n",
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"Epoch 184/500\n",
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"Epoch 185/500\n",
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"Epoch 186/500\n",
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"Epoch 187/500\n",
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"Epoch 188/500\n",
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"Epoch 189/500\n",
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"Epoch 190/500\n",
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"Epoch 191/500\n",
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"Epoch 192/500\n",
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"Epoch 193/500\n",
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"Epoch 194/500\n",
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"Epoch 195/500\n",
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"Epoch 196/500\n",
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"Epoch 197/500\n",
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"Epoch 198/500\n",
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"Epoch 199/500\n",
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"Epoch 200/500\n",
"3/3 - 0s - 17ms/step - loss: 2866.5554 - val_loss: 16415.9355\n",
"Epoch 201/500\n",
"3/3 - 0s - 17ms/step - loss: 3216.8184 - val_loss: 16339.2529\n",
"Epoch 202/500\n",
"3/3 - 0s - 17ms/step - loss: 2678.1689 - val_loss: 16167.3613\n",
"Epoch 203/500\n",
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"Epoch 204/500\n",
"3/3 - 0s - 17ms/step - loss: 3129.0564 - val_loss: 15949.4482\n",
"Epoch 205/500\n",
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"Epoch 206/500\n",
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"Epoch 207/500\n",
"3/3 - 0s - 17ms/step - loss: 2999.0684 - val_loss: 15802.9834\n",
"Epoch 208/500\n",
"3/3 - 0s - 17ms/step - loss: 2993.4895 - val_loss: 15638.4014\n",
"Epoch 209/500\n",
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"Epoch 210/500\n",
"3/3 - 0s - 17ms/step - loss: 2669.8547 - val_loss: 15291.3330\n",
"Epoch 211/500\n",
"3/3 - 0s - 17ms/step - loss: 2485.7488 - val_loss: 15224.9395\n",
"Epoch 212/500\n",
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"Epoch 213/500\n",
"3/3 - 0s - 17ms/step - loss: 2717.8411 - val_loss: 15234.4395\n",
"Epoch 214/500\n",
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"Epoch 215/500\n",
"3/3 - 0s - 17ms/step - loss: 2879.7581 - val_loss: 15115.6084\n",
"Epoch 216/500\n",
"3/3 - 0s - 17ms/step - loss: 2481.2527 - val_loss: 14973.1016\n",
"Epoch 217/500\n",
"3/3 - 0s - 17ms/step - loss: 2668.2205 - val_loss: 14828.6475\n",
"Epoch 218/500\n",
"3/3 - 0s - 17ms/step - loss: 2718.4495 - val_loss: 14689.3613\n",
"Epoch 219/500\n",
"3/3 - 0s - 17ms/step - loss: 2672.1052 - val_loss: 14581.8818\n",
"Epoch 220/500\n",
"3/3 - 0s - 17ms/step - loss: 3036.5305 - val_loss: 14525.4629\n",
"Epoch 221/500\n",
"3/3 - 0s - 17ms/step - loss: 2575.9553 - val_loss: 14540.5615\n",
"Epoch 222/500\n",
"3/3 - 0s - 17ms/step - loss: 2505.0505 - val_loss: 14586.3125\n",
"Epoch 223/500\n",
"3/3 - 0s - 17ms/step - loss: 2976.8020 - val_loss: 14570.0566\n",
"Epoch 224/500\n",
"3/3 - 0s - 17ms/step - loss: 2871.0500 - val_loss: 14476.0391\n",
"Epoch 225/500\n",
"3/3 - 0s - 17ms/step - loss: 2807.6414 - val_loss: 14350.0264\n",
"Epoch 226/500\n",
"3/3 - 0s - 17ms/step - loss: 2389.1531 - val_loss: 14253.9219\n",
"Epoch 227/500\n",
"3/3 - 0s - 17ms/step - loss: 2288.1179 - val_loss: 14208.1689\n",
"Epoch 228/500\n",
"3/3 - 0s - 17ms/step - loss: 2468.2761 - val_loss: 14220.1895\n",
"Epoch 229/500\n",
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"Epoch 230/500\n",
"3/3 - 0s - 17ms/step - loss: 2684.0771 - val_loss: 14111.4404\n",
"Epoch 231/500\n",
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"Epoch 232/500\n",
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"Epoch 233/500\n",
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"Epoch 234/500\n",
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"Epoch 235/500\n",
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"Epoch 236/500\n",
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"Epoch 237/500\n",
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"Epoch 238/500\n",
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"Epoch 239/500\n",
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"Epoch 240/500\n",
"3/3 - 0s - 17ms/step - loss: 2426.4412 - val_loss: 13916.3281\n",
"Epoch 241/500\n",
"3/3 - 0s - 17ms/step - loss: 3226.7058 - val_loss: 13886.5801\n",
"Epoch 242/500\n",
"3/3 - 0s - 17ms/step - loss: 2136.6353 - val_loss: 13842.0000\n",
"Epoch 243/500\n",
"3/3 - 0s - 17ms/step - loss: 2098.1785 - val_loss: 13857.7881\n",
"Epoch 244/500\n",
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"Epoch 245/500\n",
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"Epoch 246/500\n",
"3/3 - 0s - 17ms/step - loss: 2372.3616 - val_loss: 13854.9834\n",
"Epoch 247/500\n",
"3/3 - 0s - 17ms/step - loss: 2755.5605 - val_loss: 13870.9707\n",
"Epoch 248/500\n",
"3/3 - 0s - 17ms/step - loss: 2246.5942 - val_loss: 13867.9160\n",
"Epoch 249/500\n",
"3/3 - 0s - 17ms/step - loss: 1986.6266 - val_loss: 13939.2373\n",
"Epoch 250/500\n",
"3/3 - 0s - 17ms/step - loss: 2359.3875 - val_loss: 13932.6562\n",
"Epoch 251/500\n",
"3/3 - 0s - 17ms/step - loss: 2008.7090 - val_loss: 13847.3223\n",
"Epoch 252/500\n",
"3/3 - 0s - 17ms/step - loss: 2185.2908 - val_loss: 13776.6953\n",
"Epoch 253/500\n",
"3/3 - 0s - 17ms/step - loss: 2430.3616 - val_loss: 13720.9629\n",
"Epoch 254/500\n",
"3/3 - 0s - 17ms/step - loss: 2290.3757 - val_loss: 13525.9971\n",
"Epoch 255/500\n",
"3/3 - 0s - 17ms/step - loss: 2270.8977 - val_loss: 13316.2910\n",
"Epoch 256/500\n",
"3/3 - 0s - 17ms/step - loss: 2199.4377 - val_loss: 13145.4785\n",
"Epoch 257/500\n",
"3/3 - 0s - 17ms/step - loss: 2469.5984 - val_loss: 13049.3428\n",
"Epoch 258/500\n",
"3/3 - 0s - 17ms/step - loss: 2035.0575 - val_loss: 13010.0146\n",
"Epoch 259/500\n",
"3/3 - 0s - 17ms/step - loss: 2001.6678 - val_loss: 13008.3037\n",
"Epoch 260/500\n",
"3/3 - 0s - 17ms/step - loss: 2304.7673 - val_loss: 12992.6240\n",
"Epoch 261/500\n",
"3/3 - 0s - 17ms/step - loss: 2021.9121 - val_loss: 13041.0381\n",
"Epoch 262/500\n",
"3/3 - 0s - 17ms/step - loss: 2470.8645 - val_loss: 13104.7842\n",
"Epoch 263/500\n",
"3/3 - 0s - 17ms/step - loss: 2118.3308 - val_loss: 13150.8311\n",
"Epoch 264/500\n",
"3/3 - 0s - 17ms/step - loss: 1991.0944 - val_loss: 13234.5234\n",
"Epoch 265/500\n",
"3/3 - 0s - 17ms/step - loss: 2219.9153 - val_loss: 13292.2314\n",
"Epoch 266/500\n",
"3/3 - 0s - 17ms/step - loss: 2427.2390 - val_loss: 13293.6221\n",
"Epoch 267/500\n",
"3/3 - 0s - 17ms/step - loss: 2458.7197 - val_loss: 13294.8271\n",
"Epoch 268/500\n",
"3/3 - 0s - 17ms/step - loss: 2269.1716 - val_loss: 13252.9736\n",
"Epoch 269/500\n",
"3/3 - 0s - 17ms/step - loss: 2110.8438 - val_loss: 13196.6436\n",
"Epoch 270/500\n",
"3/3 - 0s - 17ms/step - loss: 2175.5251 - val_loss: 13144.8506\n",
"Epoch 271/500\n",
"3/3 - 0s - 17ms/step - loss: 2637.5645 - val_loss: 13147.6143\n",
"Epoch 272/500\n",
"3/3 - 0s - 17ms/step - loss: 1959.9712 - val_loss: 13075.0127\n",
"Epoch 273/500\n",
"3/3 - 0s - 17ms/step - loss: 1895.2294 - val_loss: 12988.1904\n",
"Epoch 274/500\n",
"3/3 - 0s - 17ms/step - loss: 1895.2510 - val_loss: 12908.2646\n",
"Epoch 275/500\n",
"3/3 - 0s - 17ms/step - loss: 1830.8086 - val_loss: 12812.6592\n",
"Epoch 276/500\n",
"3/3 - 0s - 17ms/step - loss: 2185.9648 - val_loss: 12658.1611\n",
"Epoch 277/500\n",
"3/3 - 0s - 17ms/step - loss: 1929.5404 - val_loss: 12560.1406\n",
"Epoch 278/500\n",
"3/3 - 0s - 17ms/step - loss: 2054.0000 - val_loss: 12498.7988\n",
"Epoch 279/500\n",
"3/3 - 0s - 17ms/step - loss: 1816.7731 - val_loss: 12392.9961\n",
"Epoch 280/500\n",
"3/3 - 0s - 17ms/step - loss: 1784.1198 - val_loss: 12292.5303\n",
"Epoch 281/500\n",
"3/3 - 0s - 17ms/step - loss: 1827.3315 - val_loss: 12253.4111\n",
"Epoch 282/500\n",
"3/3 - 0s - 17ms/step - loss: 1884.4404 - val_loss: 12237.7959\n",
"Epoch 283/500\n",
"3/3 - 0s - 17ms/step - loss: 1995.6757 - val_loss: 12262.1328\n",
"Epoch 284/500\n",
"3/3 - 0s - 17ms/step - loss: 2085.4297 - val_loss: 12239.9580\n",
"Epoch 285/500\n",
"3/3 - 0s - 17ms/step - loss: 1884.5956 - val_loss: 12309.9014\n",
"Epoch 286/500\n",
"3/3 - 0s - 17ms/step - loss: 2060.9026 - val_loss: 12349.3447\n",
"Epoch 287/500\n",
"3/3 - 0s - 17ms/step - loss: 2061.5439 - val_loss: 12426.7607\n",
"Epoch 288/500\n",
"3/3 - 0s - 17ms/step - loss: 1784.0231 - val_loss: 12459.5068\n",
"Epoch 289/500\n",
"3/3 - 0s - 17ms/step - loss: 1999.7129 - val_loss: 12454.4766\n",
"Epoch 290/500\n",
"3/3 - 0s - 17ms/step - loss: 1745.6362 - val_loss: 12419.9033\n",
"Epoch 291/500\n",
"3/3 - 0s - 17ms/step - loss: 2300.4675 - val_loss: 12363.6182\n",
"Epoch 292/500\n",
"3/3 - 0s - 17ms/step - loss: 2077.6472 - val_loss: 12220.9658\n",
"Epoch 293/500\n",
"3/3 - 0s - 17ms/step - loss: 1793.9449 - val_loss: 12169.4375\n",
"Epoch 294/500\n",
"3/3 - 0s - 17ms/step - loss: 1776.3177 - val_loss: 12188.7188\n",
"Epoch 295/500\n",
"3/3 - 0s - 17ms/step - loss: 2684.6150 - val_loss: 13584.7412\n",
"Epoch 296/500\n",
"3/3 - 0s - 17ms/step - loss: 1659.9438 - val_loss: 13687.3848\n",
"Epoch 297/500\n",
"3/3 - 0s - 17ms/step - loss: 1924.0333 - val_loss: 13685.2207\n",
"Epoch 298/500\n",
"3/3 - 0s - 17ms/step - loss: 1590.8243 - val_loss: 13697.4248\n",
"Epoch 299/500\n",
"3/3 - 0s - 17ms/step - loss: 2014.3086 - val_loss: 13722.4873\n",
"Epoch 300/500\n",
"3/3 - 0s - 17ms/step - loss: 2031.5521 - val_loss: 13786.9688\n",
"Epoch 301/500\n",
"3/3 - 0s - 17ms/step - loss: 2013.7220 - val_loss: 13823.4766\n",
"Epoch 302/500\n",
"3/3 - 0s - 17ms/step - loss: 1806.6090 - val_loss: 13903.6660\n",
"Epoch 303/500\n",
"3/3 - 0s - 17ms/step - loss: 1665.8705 - val_loss: 13831.3223\n",
"Epoch 304/500\n",
"3/3 - 0s - 17ms/step - loss: 1950.0693 - val_loss: 13729.0957\n",
"Epoch 305/500\n",
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"Epoch 306/500\n",
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"Epoch 307/500\n",
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"Epoch 308/500\n",
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"Epoch 309/500\n",
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"Epoch 310/500\n",
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"Epoch 311/500\n",
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"Epoch 312/500\n",
"3/3 - 0s - 17ms/step - loss: 1813.4556 - val_loss: 12863.7109\n",
"Epoch 313/500\n",
"3/3 - 0s - 17ms/step - loss: 2235.1895 - val_loss: 12929.0537\n",
"Epoch 314/500\n",
"3/3 - 0s - 17ms/step - loss: 1987.4508 - val_loss: 13050.5010\n",
"Epoch 315/500\n",
"3/3 - 0s - 17ms/step - loss: 1829.1294 - val_loss: 13248.6982\n",
"Epoch 316/500\n",
"3/3 - 0s - 17ms/step - loss: 1801.2770 - val_loss: 13404.8281\n",
"Epoch 317/500\n",
"3/3 - 0s - 17ms/step - loss: 1666.7926 - val_loss: 13476.9912\n",
"Epoch 318/500\n",
"3/3 - 0s - 17ms/step - loss: 1860.7777 - val_loss: 13528.9287\n",
"Epoch 319/500\n",
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"Epoch 320/500\n",
"3/3 - 0s - 17ms/step - loss: 1942.2100 - val_loss: 13550.3193\n",
"Epoch 321/500\n",
"3/3 - 0s - 17ms/step - loss: 1964.9346 - val_loss: 13573.9092\n",
"Epoch 322/500\n",
"3/3 - 0s - 17ms/step - loss: 1729.3109 - val_loss: 13582.2295\n",
"Epoch 323/500\n",
"3/3 - 0s - 17ms/step - loss: 1716.8322 - val_loss: 13621.8877\n",
"Epoch 324/500\n",
"3/3 - 0s - 17ms/step - loss: 1853.9681 - val_loss: 13620.2295\n",
"Epoch 325/500\n",
"3/3 - 0s - 17ms/step - loss: 1597.7877 - val_loss: 13600.8330\n",
"Epoch 326/500\n",
"3/3 - 0s - 17ms/step - loss: 1813.2780 - val_loss: 13631.6123\n",
"Epoch 327/500\n",
"3/3 - 0s - 17ms/step - loss: 1608.7754 - val_loss: 13665.4395\n",
"Epoch 328/500\n",
"3/3 - 0s - 17ms/step - loss: 1543.5660 - val_loss: 13708.9912\n",
"Epoch 329/500\n",
"3/3 - 0s - 17ms/step - loss: 1538.7759 - val_loss: 13734.4707\n",
"Epoch 330/500\n",
"3/3 - 0s - 17ms/step - loss: 1629.5703 - val_loss: 13693.1816\n",
"Epoch 331/500\n",
"3/3 - 0s - 17ms/step - loss: 1962.2760 - val_loss: 13592.3750\n",
"Epoch 332/500\n",
"3/3 - 0s - 17ms/step - loss: 1554.6298 - val_loss: 13549.6826\n",
"Epoch 333/500\n",
"3/3 - 0s - 17ms/step - loss: 1610.6703 - val_loss: 13530.4375\n",
"Epoch 334/500\n",
"3/3 - 0s - 17ms/step - loss: 1503.0254 - val_loss: 13506.1357\n",
"Epoch 335/500\n",
"3/3 - 0s - 17ms/step - loss: 1649.6929 - val_loss: 13453.0283\n",
"Epoch 336/500\n",
"3/3 - 0s - 17ms/step - loss: 1707.4263 - val_loss: 13408.0049\n",
"Epoch 337/500\n",
"3/3 - 0s - 17ms/step - loss: 1768.1312 - val_loss: 13372.1045\n",
"Epoch 338/500\n",
"3/3 - 0s - 17ms/step - loss: 1567.9438 - val_loss: 13315.0967\n",
"Epoch 339/500\n",
"3/3 - 0s - 17ms/step - loss: 1518.4185 - val_loss: 13265.5938\n",
"Epoch 340/500\n",
"3/3 - 0s - 17ms/step - loss: 2023.1421 - val_loss: 13278.0566\n",
"Epoch 341/500\n",
"3/3 - 0s - 17ms/step - loss: 1563.7338 - val_loss: 13407.3047\n",
"Epoch 342/500\n",
"3/3 - 0s - 17ms/step - loss: 1697.8990 - val_loss: 13494.3691\n",
"Epoch 343/500\n",
"3/3 - 0s - 17ms/step - loss: 1646.9691 - val_loss: 13516.5830\n",
"Epoch 344/500\n",
"3/3 - 0s - 17ms/step - loss: 1573.9227 - val_loss: 13488.8457\n",
"Epoch 345/500\n",
"3/3 - 0s - 17ms/step - loss: 1479.3379 - val_loss: 13481.7207\n",
"Epoch 346/500\n",
"3/3 - 0s - 17ms/step - loss: 1458.4619 - val_loss: 13491.8750\n",
"Epoch 347/500\n",
"3/3 - 0s - 17ms/step - loss: 1841.0597 - val_loss: 13479.2998\n",
"Epoch 348/500\n",
"3/3 - 0s - 17ms/step - loss: 1568.7733 - val_loss: 13458.4785\n",
"Epoch 349/500\n",
"3/3 - 0s - 17ms/step - loss: 1395.7603 - val_loss: 13380.1162\n",
"Epoch 350/500\n",
"3/3 - 0s - 17ms/step - loss: 1479.0137 - val_loss: 13317.0078\n",
"Epoch 351/500\n",
"3/3 - 0s - 17ms/step - loss: 1698.2603 - val_loss: 13245.8564\n",
"Epoch 352/500\n",
"3/3 - 0s - 17ms/step - loss: 1451.6334 - val_loss: 13172.2490\n",
"Epoch 353/500\n",
"3/3 - 0s - 17ms/step - loss: 1416.2529 - val_loss: 13085.0176\n",
"Epoch 354/500\n",
"3/3 - 0s - 17ms/step - loss: 1534.3610 - val_loss: 13026.6357\n",
"Epoch 355/500\n",
"3/3 - 0s - 17ms/step - loss: 1419.8143 - val_loss: 12978.6855\n",
"Epoch 356/500\n",
"3/3 - 0s - 17ms/step - loss: 1444.2311 - val_loss: 12979.1084\n",
"Epoch 357/500\n",
"3/3 - 0s - 17ms/step - loss: 1479.5620 - val_loss: 12937.1719\n",
"Epoch 358/500\n",
"3/3 - 0s - 17ms/step - loss: 1446.3419 - val_loss: 12900.1152\n",
"Epoch 359/500\n",
"3/3 - 0s - 17ms/step - loss: 1391.5829 - val_loss: 12873.0811\n",
"Epoch 360/500\n",
"3/3 - 0s - 17ms/step - loss: 1396.7211 - val_loss: 12829.1660\n",
"Epoch 361/500\n",
"3/3 - 0s - 17ms/step - loss: 1435.2969 - val_loss: 12800.2109\n",
"Epoch 362/500\n",
"3/3 - 0s - 17ms/step - loss: 1338.8273 - val_loss: 12755.6436\n",
"Epoch 363/500\n",
"3/3 - 0s - 17ms/step - loss: 1375.0375 - val_loss: 12723.7412\n",
"Epoch 364/500\n",
"3/3 - 0s - 17ms/step - loss: 1621.9196 - val_loss: 12739.0234\n",
"Epoch 365/500\n",
"3/3 - 0s - 17ms/step - loss: 1791.9625 - val_loss: 12722.8066\n",
"Epoch 366/500\n",
"3/3 - 0s - 17ms/step - loss: 1442.6084 - val_loss: 12752.6279\n",
"Epoch 367/500\n",
"3/3 - 0s - 17ms/step - loss: 1455.9635 - val_loss: 12734.0811\n",
"Epoch 368/500\n",
"3/3 - 0s - 17ms/step - loss: 1294.8817 - val_loss: 12645.9307\n",
"Epoch 369/500\n",
"3/3 - 0s - 17ms/step - loss: 1284.7350 - val_loss: 12630.0850\n",
"Epoch 370/500\n",
"3/3 - 0s - 17ms/step - loss: 1380.2316 - val_loss: 12618.9902\n",
"Epoch 371/500\n",
"3/3 - 0s - 17ms/step - loss: 1417.1742 - val_loss: 12601.0039\n",
"Epoch 372/500\n",
"3/3 - 0s - 17ms/step - loss: 1583.6881 - val_loss: 12542.2998\n",
"Epoch 373/500\n",
"3/3 - 0s - 17ms/step - loss: 1665.1879 - val_loss: 12538.6748\n",
"Epoch 374/500\n",
"3/3 - 0s - 17ms/step - loss: 1502.0543 - val_loss: 12537.4854\n",
"Epoch 375/500\n",
"3/3 - 0s - 17ms/step - loss: 1363.8408 - val_loss: 12615.8311\n",
"Epoch 376/500\n",
"3/3 - 0s - 17ms/step - loss: 1376.9369 - val_loss: 12656.5859\n",
"Epoch 377/500\n",
"3/3 - 0s - 17ms/step - loss: 1273.7534 - val_loss: 12583.3984\n",
"Epoch 378/500\n",
"3/3 - 0s - 17ms/step - loss: 1488.0697 - val_loss: 12531.9219\n",
"Epoch 379/500\n",
"3/3 - 0s - 17ms/step - loss: 1286.6088 - val_loss: 12505.0068\n",
"Epoch 380/500\n",
"3/3 - 0s - 17ms/step - loss: 1399.4713 - val_loss: 12485.4355\n",
"Epoch 381/500\n",
"3/3 - 0s - 17ms/step - loss: 1307.6622 - val_loss: 12485.5195\n",
"Epoch 382/500\n",
"3/3 - 0s - 17ms/step - loss: 1401.3275 - val_loss: 12469.3584\n",
"Epoch 383/500\n",
"3/3 - 0s - 17ms/step - loss: 1466.6924 - val_loss: 12395.5732\n",
"Epoch 384/500\n",
"3/3 - 0s - 17ms/step - loss: 1283.4943 - val_loss: 12323.6455\n",
"Epoch 385/500\n",
"3/3 - 0s - 17ms/step - loss: 1247.2410 - val_loss: 12300.4014\n",
"Epoch 386/500\n",
"3/3 - 0s - 17ms/step - loss: 1433.7179 - val_loss: 12343.1201\n",
"Epoch 387/500\n",
"3/3 - 0s - 17ms/step - loss: 1242.2963 - val_loss: 12443.2217\n",
"Epoch 388/500\n",
"3/3 - 0s - 17ms/step - loss: 1213.0107 - val_loss: 12494.0088\n",
"Epoch 389/500\n",
"3/3 - 0s - 17ms/step - loss: 1283.5161 - val_loss: 12479.6016\n",
"Epoch 390/500\n",
"3/3 - 0s - 17ms/step - loss: 1389.0199 - val_loss: 12383.9912\n",
"Epoch 391/500\n",
"3/3 - 0s - 17ms/step - loss: 1158.7157 - val_loss: 12292.5557\n",
"Epoch 392/500\n",
"3/3 - 0s - 17ms/step - loss: 1174.8827 - val_loss: 12207.8447\n",
"Epoch 393/500\n",
"3/3 - 0s - 17ms/step - loss: 1211.8270 - val_loss: 12190.5986\n",
"Epoch 394/500\n",
"3/3 - 0s - 17ms/step - loss: 1236.8213 - val_loss: 12176.5840\n",
"Epoch 395/500\n",
"3/3 - 0s - 17ms/step - loss: 1343.8510 - val_loss: 12197.2256\n",
"Epoch 396/500\n",
"3/3 - 0s - 17ms/step - loss: 1193.8666 - val_loss: 12210.9326\n",
"Epoch 397/500\n",
"3/3 - 0s - 17ms/step - loss: 1227.3073 - val_loss: 12194.8799\n",
"Epoch 398/500\n",
"3/3 - 0s - 17ms/step - loss: 1438.6051 - val_loss: 12117.0215\n",
"Epoch 399/500\n",
"3/3 - 0s - 17ms/step - loss: 1143.3475 - val_loss: 12034.7480\n",
"Epoch 400/500\n",
"3/3 - 0s - 17ms/step - loss: 1410.8807 - val_loss: 11978.9248\n",
"Epoch 401/500\n",
"3/3 - 0s - 17ms/step - loss: 1201.5463 - val_loss: 11939.1055\n",
"Epoch 402/500\n",
"3/3 - 0s - 17ms/step - loss: 1519.7070 - val_loss: 11877.4912\n",
"Epoch 403/500\n",
"3/3 - 0s - 17ms/step - loss: 1163.8295 - val_loss: 11874.0195\n",
"Epoch 404/500\n",
"3/3 - 0s - 17ms/step - loss: 1618.0254 - val_loss: 11860.0586\n",
"Epoch 405/500\n",
"3/3 - 0s - 17ms/step - loss: 1169.9755 - val_loss: 11875.3779\n",
"Epoch 406/500\n",
"3/3 - 0s - 17ms/step - loss: 1203.3438 - val_loss: 11905.3701\n",
"Epoch 407/500\n",
"3/3 - 0s - 17ms/step - loss: 1216.2635 - val_loss: 11935.9619\n",
"Epoch 408/500\n",
"3/3 - 0s - 17ms/step - loss: 1542.9293 - val_loss: 11876.6016\n",
"Epoch 409/500\n",
"3/3 - 0s - 17ms/step - loss: 1200.5552 - val_loss: 11866.6982\n",
"Epoch 410/500\n",
"3/3 - 0s - 17ms/step - loss: 1119.0197 - val_loss: 11769.4502\n",
"Epoch 411/500\n",
"3/3 - 0s - 17ms/step - loss: 1367.1244 - val_loss: 11674.1240\n",
"Epoch 412/500\n",
"3/3 - 0s - 17ms/step - loss: 1378.3365 - val_loss: 11673.0674\n",
"Epoch 413/500\n",
"3/3 - 0s - 17ms/step - loss: 1109.5961 - val_loss: 11756.2256\n",
"Epoch 414/500\n",
"3/3 - 0s - 17ms/step - loss: 1149.8401 - val_loss: 11792.6953\n",
"Epoch 415/500\n",
"3/3 - 0s - 17ms/step - loss: 1561.5957 - val_loss: 11826.3037\n",
"Epoch 416/500\n",
"3/3 - 0s - 17ms/step - loss: 1329.2100 - val_loss: 11884.2412\n",
"Epoch 417/500\n",
"3/3 - 0s - 17ms/step - loss: 1098.0538 - val_loss: 11918.5576\n",
"Epoch 418/500\n",
"3/3 - 0s - 17ms/step - loss: 1083.4044 - val_loss: 11893.9326\n",
"Epoch 419/500\n",
"3/3 - 0s - 17ms/step - loss: 1366.9742 - val_loss: 11903.0342\n",
"Epoch 420/500\n",
"3/3 - 0s - 17ms/step - loss: 1135.4385 - val_loss: 11940.2383\n",
"Epoch 421/500\n",
"3/3 - 0s - 17ms/step - loss: 1219.8468 - val_loss: 11945.9521\n",
"Epoch 422/500\n",
"3/3 - 0s - 17ms/step - loss: 1192.0673 - val_loss: 11806.8135\n",
"Epoch 423/500\n",
"3/3 - 0s - 17ms/step - loss: 1263.4198 - val_loss: 11639.0420\n",
"Epoch 424/500\n",
"3/3 - 0s - 17ms/step - loss: 1263.3772 - val_loss: 11530.3486\n",
"Epoch 425/500\n",
"3/3 - 0s - 17ms/step - loss: 1248.3644 - val_loss: 11538.7588\n",
"Epoch 426/500\n",
"3/3 - 0s - 17ms/step - loss: 1081.1595 - val_loss: 11663.2607\n",
"Epoch 427/500\n",
"3/3 - 0s - 17ms/step - loss: 1285.9462 - val_loss: 11853.4385\n",
"Epoch 428/500\n",
"3/3 - 0s - 17ms/step - loss: 1162.6328 - val_loss: 11965.1104\n",
"Epoch 429/500\n",
"3/3 - 0s - 17ms/step - loss: 1159.7513 - val_loss: 11908.4639\n",
"Epoch 430/500\n",
"3/3 - 0s - 17ms/step - loss: 1044.7308 - val_loss: 11743.1602\n",
"Epoch 431/500\n",
"3/3 - 0s - 17ms/step - loss: 1042.9562 - val_loss: 11633.8027\n",
"Epoch 432/500\n",
"3/3 - 0s - 17ms/step - loss: 1272.7484 - val_loss: 11611.1973\n",
"Epoch 433/500\n",
"3/3 - 0s - 17ms/step - loss: 1108.2052 - val_loss: 11584.9092\n",
"Epoch 434/500\n",
"3/3 - 0s - 17ms/step - loss: 1210.9020 - val_loss: 11574.4648\n",
"Epoch 435/500\n",
"3/3 - 0s - 17ms/step - loss: 1090.7620 - val_loss: 11537.9082\n",
"Epoch 436/500\n",
"3/3 - 0s - 17ms/step - loss: 1065.0841 - val_loss: 11375.5342\n",
"Epoch 437/500\n",
"3/3 - 0s - 17ms/step - loss: 1198.2792 - val_loss: 11215.7734\n",
"Epoch 438/500\n",
"3/3 - 0s - 17ms/step - loss: 1281.9584 - val_loss: 11074.5303\n",
"Epoch 439/500\n",
"3/3 - 0s - 17ms/step - loss: 1005.8123 - val_loss: 11021.5156\n",
"Epoch 440/500\n",
"3/3 - 0s - 17ms/step - loss: 1120.0093 - val_loss: 10988.1074\n",
"Epoch 441/500\n",
"3/3 - 0s - 17ms/step - loss: 1077.2847 - val_loss: 10935.0840\n",
"Epoch 442/500\n",
"3/3 - 0s - 17ms/step - loss: 1174.5868 - val_loss: 10802.0693\n",
"Epoch 443/500\n",
"3/3 - 0s - 17ms/step - loss: 932.2080 - val_loss: 10693.5713\n",
"Epoch 444/500\n",
"3/3 - 0s - 17ms/step - loss: 778.5749 - val_loss: 10640.6455\n",
"Epoch 445/500\n",
"3/3 - 0s - 17ms/step - loss: 850.2438 - val_loss: 10127.6709\n",
"Epoch 446/500\n",
"3/3 - 0s - 17ms/step - loss: 1342.6503 - val_loss: 9836.2764\n",
"Epoch 447/500\n",
"3/3 - 0s - 17ms/step - loss: 1026.7169 - val_loss: 14556.1426\n",
"Epoch 448/500\n",
"3/3 - 0s - 17ms/step - loss: 5180.3804 - val_loss: 14474.1504\n",
"Epoch 449/500\n",
"3/3 - 0s - 17ms/step - loss: 3231.8652 - val_loss: 15235.2393\n",
"Epoch 450/500\n",
"3/3 - 0s - 17ms/step - loss: 3603.4180 - val_loss: 12494.5469\n",
"Epoch 451/500\n",
"3/3 - 0s - 17ms/step - loss: 2771.7141 - val_loss: 12596.5791\n",
"Epoch 452/500\n",
"3/3 - 0s - 17ms/step - loss: 2492.6287 - val_loss: 12458.5967\n",
"Epoch 453/500\n",
"3/3 - 0s - 17ms/step - loss: 130566.2422 - val_loss: 14305.2217\n",
"Epoch 454/500\n",
"3/3 - 0s - 17ms/step - loss: 59600.2695 - val_loss: 19778.2305\n",
"Epoch 455/500\n",
"3/3 - 0s - 20ms/step - loss: 21048.7246 - val_loss: 24050.7891\n",
"Epoch 456/500\n",
"3/3 - 0s - 17ms/step - loss: 10682.6162 - val_loss: 19382.1562\n",
"Epoch 457/500\n",
"3/3 - 0s - 17ms/step - loss: 11721.0078 - val_loss: 12668.3018\n",
"Epoch 458/500\n",
"3/3 - 0s - 17ms/step - loss: 30869.4824 - val_loss: 9933.6396\n",
"Epoch 459/500\n",
"3/3 - 0s - 17ms/step - loss: 11409.1807 - val_loss: 13904.3174\n",
"Epoch 460/500\n",
"3/3 - 0s - 17ms/step - loss: 68008.8828 - val_loss: 15173.6787\n",
"Epoch 461/500\n",
"3/3 - 0s - 17ms/step - loss: 34727.7773 - val_loss: 10858.1074\n",
"Epoch 462/500\n",
"3/3 - 0s - 16ms/step - loss: 17068.3496 - val_loss: 11095.0381\n",
"Epoch 463/500\n",
"3/3 - 0s - 17ms/step - loss: 13025.5830 - val_loss: 14808.9287\n",
"Epoch 464/500\n",
"3/3 - 0s - 17ms/step - loss: 14887.2920 - val_loss: 23951.9512\n",
"Epoch 465/500\n",
"3/3 - 0s - 17ms/step - loss: 12912.5537 - val_loss: 23915.0215\n",
"Epoch 466/500\n",
"3/3 - 0s - 17ms/step - loss: 14608.3086 - val_loss: 21541.1621\n",
"Epoch 467/500\n",
"3/3 - 0s - 17ms/step - loss: 10615.5127 - val_loss: 29248.0449\n",
"Epoch 468/500\n",
"3/3 - 0s - 17ms/step - loss: 15356.8174 - val_loss: 25405.4102\n",
"Epoch 469/500\n",
"3/3 - 0s - 16ms/step - loss: 27714.8652 - val_loss: 25208.1387\n",
"Epoch 470/500\n",
"3/3 - 0s - 17ms/step - loss: 17119.8184 - val_loss: 26038.4824\n",
"Epoch 471/500\n",
"3/3 - 0s - 17ms/step - loss: 32523.9238 - val_loss: 24291.9277\n",
"Epoch 472/500\n",
"3/3 - 0s - 17ms/step - loss: 18067.1816 - val_loss: 38093.5234\n",
"Epoch 473/500\n",
"3/3 - 0s - 17ms/step - loss: 13829.0586 - val_loss: 37849.4180\n",
"Epoch 474/500\n",
"3/3 - 0s - 17ms/step - loss: 12389.2812 - val_loss: 29200.4258\n",
"Epoch 475/500\n",
"3/3 - 0s - 17ms/step - loss: 12729.7666 - val_loss: 27840.2324\n",
"Epoch 476/500\n",
"3/3 - 0s - 17ms/step - loss: 29856.1738 - val_loss: 29042.3027\n",
"Epoch 477/500\n",
"3/3 - 0s - 17ms/step - loss: 8976.9941 - val_loss: 27598.9043\n",
"Epoch 478/500\n",
"3/3 - 0s - 17ms/step - loss: 46873.7148 - val_loss: 28163.9512\n",
"Epoch 479/500\n",
"3/3 - 0s - 17ms/step - loss: 257083.5781 - val_loss: 34960.1250\n",
"Epoch 480/500\n",
"3/3 - 0s - 17ms/step - loss: 196442.7656 - val_loss: 49547.0469\n",
"Epoch 481/500\n",
"3/3 - 0s - 17ms/step - loss: 51236.3867 - val_loss: 58072.3867\n",
"Epoch 482/500\n",
"3/3 - 0s - 17ms/step - loss: 29239.3223 - val_loss: 40773.7148\n",
"Epoch 483/500\n",
"3/3 - 0s - 17ms/step - loss: 43134.9727 - val_loss: 23137.1465\n",
"Epoch 484/500\n",
"3/3 - 0s - 17ms/step - loss: 29392.6641 - val_loss: 18808.0078\n",
"Epoch 485/500\n",
"3/3 - 0s - 17ms/step - loss: 31492.0723 - val_loss: 15686.3145\n",
"Epoch 486/500\n",
"3/3 - 0s - 17ms/step - loss: 19207.5312 - val_loss: 14302.8828\n",
"Epoch 487/500\n",
"3/3 - 0s - 17ms/step - loss: 17661.4570 - val_loss: 14177.6357\n",
"Epoch 488/500\n",
"3/3 - 0s - 17ms/step - loss: 15505.5361 - val_loss: 15030.9736\n",
"Epoch 489/500\n",
"3/3 - 0s - 17ms/step - loss: 16390.7949 - val_loss: 15634.1953\n",
"Epoch 490/500\n",
"3/3 - 0s - 17ms/step - loss: 12059.5088 - val_loss: 12010.7764\n",
"Epoch 491/500\n",
"3/3 - 0s - 17ms/step - loss: 13109.5967 - val_loss: 12178.0254\n",
"Epoch 492/500\n",
"3/3 - 0s - 17ms/step - loss: 13104.2812 - val_loss: 11961.1035\n",
"Epoch 493/500\n",
"3/3 - 0s - 17ms/step - loss: 9449.1895 - val_loss: 11808.8223\n",
"Epoch 494/500\n",
"3/3 - 0s - 17ms/step - loss: 12841.9756 - val_loss: 12565.6006\n",
"Epoch 495/500\n",
"3/3 - 0s - 17ms/step - loss: 10409.1924 - val_loss: 12375.4824\n",
"Epoch 496/500\n",
"3/3 - 0s - 17ms/step - loss: 8109.4546 - val_loss: 12493.7500\n",
"Epoch 497/500\n",
"3/3 - 0s - 17ms/step - loss: 8853.0518 - val_loss: 12203.5312\n",
"Epoch 498/500\n",
"3/3 - 0s - 17ms/step - loss: 11350.3633 - val_loss: 13461.4443\n",
"Epoch 499/500\n",
"3/3 - 0s - 17ms/step - loss: 12640.6377 - val_loss: 17364.1230\n",
"Epoch 500/500\n",
"3/3 - 0s - 17ms/step - loss: 42449.3906 - val_loss: 34727.5820\n"
]
}
],
"source": [
"from keras.initializers import glorot_uniform, he_uniform, orthogonal, zeros\n",
"\n",
"n_steps = sl\n",
"\n",
"model_8f = Sequential()\n",
"model_8f.add(tf.keras.layers.Input(shape = (n_steps, n_features)))\n",
"# model_8f.add(tf.keras.layers.LSTM(units = 64, activation = 'relu', return_sequences = False)) \n",
"\n",
"model_8f.add(tf.keras.layers.LSTM(\n",
" units = 32,\n",
" kernel_initializer = glorot_uniform(), # Initialize the input weights\n",
" recurrent_initializer = orthogonal(), # Initialize the recurrent weights\n",
" bias_initializer = zeros(), # Initialize the biases\n",
" activation = 'relu', \n",
" return_sequences = False\n",
"))\n",
"\n",
"# model_8f.add(tf.keras.layers.Dropout(0.2)) \n",
"model_8f.add(tf.keras.layers.RepeatVector(frwd))\n",
"model_8f.add(tf.keras.layers.LSTM(units = 32, activation = 'relu', return_sequences = True))\n",
"# model_8f.add(tf.keras.layers.Dropout(0.2)) \n",
"model_8f.add(tf.keras.layers.TimeDistributed(Dense(units = n_out)))\n",
"\n",
"# Compile the model with MSE loss computed for each time step\n",
"\n",
"# sgd = SGD(learning_rate = 0.1)\n",
"# model_8f.compile(optimizer = sgd, loss = 'mse')\n",
"model_8f.compile(optimizer = 'adam', loss = 'mean_squared_error')\n",
"model_8f.summary()\n",
"\n",
"# es = EarlyStopping(monitor = 'val_loss', mode = 'min', verbose = 1, patience = 5)\n",
"\n",
"# fit model\n",
"# The number of epochs is the number of complete passes through the training dataset\n",
"history = model_8f.fit(X, y, epochs = 500, \n",
" validation_split = 0.2,\n",
" verbose = 2)\n",
" # , callbacks=[es])\n",
" # , callbacks = [TimeStepErrorLogger()])"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "1e40d38e-3eb1-4b9d-8d2a-8ec6a6a56f38",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 175,
"id": "badacf02-562c-495a-8d62-374545da5804",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Create a figure and axis object\n",
"fig, ax = plt.subplots(1, 1)\n",
"\n",
"# Plot the data\n",
"ax.plot(history.history['loss'], 'blue')\n",
"ax.plot(history.history['val_loss'], 'red')\n",
"\n",
"# Customize the plot\n",
"ax.set_title('Model Loss (blue) vs Val. Loss (red)')\n",
"ax.set_xlabel('Epoch')\n",
"ax.set_ylabel('Loss')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "d08d10b3-a984-4dec-b1af-e29a9e937626",
"metadata": {},
"outputs": [],
"source": [
"# Extract weights from the LSTM layer\n",
"lstm_layer = model_8f.layers[0]\n",
"lstm_weights = lstm_layer.get_weights()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "1f7cdb81-3ea1-467d-8492-fbdc469a4039",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Kernel shape: (8, 8)\n",
"Recurrent Kernel shape: (2, 8)\n",
"Bias shape: (8,)\n"
]
}
],
"source": [
"kernel, recurrent_kernel, bias = lstm_weights\n",
"\n",
"# Print the shapes\n",
"print(f\"Kernel shape: {kernel.shape}\")\n",
"print(f\"Recurrent Kernel shape: {recurrent_kernel.shape}\")\n",
"print(f\"Bias shape: {bias.shape}\")"
]
},
{
"cell_type": "code",
"execution_count": 223,
"id": "5be4cb34-6a95-426f-b08f-1c26fcfdaa90",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Kernel weights: [[ 0.05232579 0.01374082 0.01113737 ... -0.03336089 0.03715584\n",
" -0.03538815]\n",
" [ 0.03264289 0.02306121 0.02604442 ... 0.03129478 -0.05207984\n",
" 0.04096095]\n",
" [-0.02632057 -0.02589257 -0.02369264 ... -0.03858705 -0.01252202\n",
" 0.00666459]\n",
" ...\n",
" [-0.01920575 -0.00956063 0.02410255 ... 0.01255936 0.04612235\n",
" 0.05381919]\n",
" [ 0.04781022 0.01975601 -0.0432153 ... 0.05187599 -0.01336266\n",
" 0.03635232]\n",
" [-0.03965205 -0.00055679 -0.03181865 ... 0.0390408 -0.0238521\n",
" 0.00138673]]\n",
"Recurrent kernel weights: [[-0.01153879 -0.00017272 0.0282393 ... 0.00996209 0.01181875\n",
" -0.01943585]\n",
" [ 0.01909763 0.00872338 0.02296009 ... 0.01635076 0.01008803\n",
" -0.01466706]\n",
" [ 0.02507331 0.0413265 -0.00896156 ... 0.01102871 0.00432566\n",
" 0.01624689]\n",
" ...\n",
" [-0.00220611 -0.00429316 0.03294532 ... -0.02962208 0.02178407\n",
" -0.00670702]\n",
" [ 0.00095747 0.00812461 0.00659628 ... 0.03368684 -0.05981153\n",
" 0.00807448]\n",
" [ 0.00640679 0.01504548 0.01278104 ... -0.00735644 -0.00102678\n",
" -0.02216036]]\n",
"Bias weights: [ 8.6383414e-05 0.0000000e+00 0.0000000e+00 ... -6.8583427e-07\n",
" 1.6081285e-05 1.9838195e-04]\n"
]
}
],
"source": [
"# Print the weights\n",
"print(\"Kernel weights:\", kernel)\n",
"print(\"Recurrent kernel weights:\", recurrent_kernel)\n",
"print(\"Bias weights:\", bias)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "cb2a2814-070a-40e4-b909-a18698b0b848",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 168,
"id": "7ab3f50a-cf41-4307-b34b-17b0614504e5",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"sample_size: 4485\n",
"[3444 2461 3517 2548 1172 3424 976 2268 1445 3323]\n",
"XXXX ====== Actual Input ====== XXXX\n",
"[[[4.91900000e-01 2.85165527e+04 3.67903000e-01 8.77595847e+01\n",
" 7.93500000e-01 4.74830980e+02 6.91327800e-01 1.06080062e+01]\n",
" [4.95300000e-01 1.84248992e+04 3.67317000e-01 4.51914654e+01\n",
" 7.96300000e-01 7.50671488e+01 6.90076200e-01 7.32009821e+00]\n",
" [4.95400000e-01 3.43324861e+04 3.67229000e-01 8.47281527e+01\n",
" 7.96100000e-01 1.14132468e+02 6.89944300e-01 5.18948335e+00]\n",
" [4.95700000e-01 2.15298357e+05 3.67687000e-01 5.10162893e+01\n",
" 7.96800000e-01 6.55170188e+01 6.90316800e-01 4.38908488e+00]\n",
" [4.96900000e-01 2.29025823e+05 3.67847000e-01 6.77505122e+01\n",
" 7.97500000e-01 2.27206460e+02 6.90792100e-01 5.71190279e+00]\n",
" [4.97200000e-01 1.35593174e+05 3.68042000e-01 3.77163439e+01\n",
" 7.98400000e-01 5.48284123e+02 6.91105400e-01 4.84039589e+00]\n",
" [4.97800000e-01 2.99639502e+05 3.67965000e-01 6.48344487e+01\n",
" 7.98100000e-01 1.76385979e+02 6.91101700e-01 8.32839892e+00]\n",
" [4.96500000e-01 1.21164386e+05 3.67995000e-01 1.69759580e+01\n",
" 7.98100000e-01 5.57862063e+01 6.91194900e-01 4.48928283e+00]]\n",
"\n",
" [[4.98800000e-01 1.07007705e+04 3.67842000e-01 2.05497321e+01\n",
" 8.01000000e-01 9.76422592e+01 6.93305200e-01 2.08234279e+00]\n",
" [4.98800000e-01 8.76357682e+03 3.67842000e-01 2.45268451e+01\n",
" 8.01300000e-01 8.10546620e+01 6.92960100e-01 2.66734846e+00]\n",
" [4.98700000e-01 2.74902948e+04 3.67820000e-01 6.49791656e+01\n",
" 8.01400000e-01 3.53138231e+01 6.93127700e-01 1.50345221e+00]\n",
" [4.98900000e-01 1.14209532e+05 3.67874000e-01 4.48622068e+01\n",
" 8.01400000e-01 7.06801422e+01 6.93293600e-01 1.57980874e+00]\n",
" [4.98700000e-01 5.17001836e+04 3.67886000e-01 4.22026498e+01\n",
" 8.01400000e-01 9.10803486e+01 6.93385000e-01 3.53739017e+00]\n",
" [4.98800000e-01 4.82191403e+04 3.67886000e-01 2.41292728e+01\n",
" 8.01600000e-01 1.47099118e+02 6.93372200e-01 1.82757717e+00]\n",
" [4.99900000e-01 2.05310429e+04 3.69059000e-01 8.26260728e+01\n",
" 8.02500000e-01 3.93397045e+02 6.94147100e-01 2.40852567e+00]\n",
" [4.98600000e-01 2.17133399e+04 3.67669000e-01 4.67225044e+01\n",
" 8.01000000e-01 1.05135855e+02 6.93240500e-01 1.95429090e+00]]\n",
"\n",
" [[5.22600000e-01 1.39840038e+05 3.81523000e-01 5.00122750e+00\n",
" 8.41700000e-01 1.24987592e+01 7.12149300e-01 2.61801778e+00]\n",
" [5.22800000e-01 2.68969941e+03 3.82313000e-01 1.30827581e+01\n",
" 8.42600000e-01 1.00775557e+01 7.12684400e-01 5.05627330e-01]\n",
" [5.22700000e-01 3.13847271e+03 3.82009000e-01 1.85996850e+01\n",
" 8.42400000e-01 1.77229845e+01 7.12188800e-01 1.10268813e+01]\n",
" [5.22500000e-01 6.75279776e+03 3.81963000e-01 4.37579874e+00\n",
" 8.42000000e-01 5.03515385e+01 7.12230300e-01 9.60494540e-01]\n",
" [5.22600000e-01 9.09866130e+03 3.81978000e-01 4.94506097e+00\n",
" 8.42200000e-01 1.22180569e+00 7.12479900e-01 1.34226875e+00]\n",
" [5.22400000e-01 5.00439858e+04 3.81945000e-01 1.05686095e+01\n",
" 8.41900000e-01 6.57209801e+01 7.12418400e-01 1.49653793e+00]\n",
" [5.22500000e-01 1.45437914e+04 3.81966000e-01 9.57898972e+00\n",
" 8.41900000e-01 2.11501791e+01 7.12387200e-01 2.38567678e+00]\n",
" [5.22300000e-01 1.24534018e+04 3.81907000e-01 1.03477777e+01\n",
" 8.41500000e-01 2.06003030e+01 7.12213700e-01 2.11093786e+00]]\n",
"\n",
" [[4.93100000e-01 3.02525760e+03 3.68837000e-01 4.82890495e+00\n",
" 7.97300000e-01 2.07119275e+01 6.94511000e-01 8.35140770e-01]\n",
" [4.94500000e-01 3.68138291e+04 3.68980000e-01 4.07393591e+00\n",
" 7.97300000e-01 2.37462099e+02 6.94680600e-01 1.72490654e+00]\n",
" [4.95000000e-01 3.33194366e+04 3.69189000e-01 2.55834653e+01\n",
" 7.97900000e-01 1.72838645e+02 6.94811200e-01 2.41188116e+00]\n",
" [4.95100000e-01 1.38397717e+04 3.69200000e-01 9.43631585e+00\n",
" 7.98200000e-01 1.29042737e+02 6.94749100e-01 1.70376158e+00]\n",
" [4.95200000e-01 1.74001280e+03 3.69270000e-01 5.39680801e+00\n",
" 7.98800000e-01 2.62608799e+01 6.94724500e-01 1.09210278e+00]\n",
" [4.93600000e-01 2.19330316e+04 3.69004000e-01 2.41624631e+01\n",
" 7.97400000e-01 1.65891306e+02 6.94715800e-01 8.26815640e-01]\n",
" [4.93900000e-01 2.54213464e+04 3.69107000e-01 1.81314972e+01\n",
" 7.98000000e-01 3.85160347e+01 6.94802500e-01 1.34991770e+00]\n",
" [4.94000000e-01 3.04526279e+04 3.69145000e-01 1.73231419e+01\n",
" 7.97000000e-01 7.92920897e+01 6.94704400e-01 6.44866270e-01]]\n",
"\n",
" [[4.93000000e-01 3.42625103e+04 3.67229000e-01 1.22028997e+01\n",
" 7.97400000e-01 5.08485769e+01 6.93555000e-01 5.61673890e-01]\n",
" [4.93100000e-01 7.52126882e+03 3.67279000e-01 7.99187705e+00\n",
" 7.97800000e-01 5.45016114e+01 6.93571900e-01 3.13484520e-01]\n",
" [4.93300000e-01 1.15386530e+04 3.67385000e-01 5.83091656e+00\n",
" 7.98000000e-01 1.07818908e+01 6.93614000e-01 3.13496670e-01]\n",
" [4.93400000e-01 2.12272369e+04 3.67452000e-01 9.52407854e+00\n",
" 7.98500000e-01 8.88557497e+01 6.93640000e-01 6.34791400e-01]\n",
" [4.93100000e-01 1.52929433e+04 3.67239000e-01 1.31101354e+01\n",
" 7.97100000e-01 2.13197511e+01 6.93573400e-01 1.54853732e+00]\n",
" [4.93700000e-01 1.25103187e+04 3.67473000e-01 5.42380775e+00\n",
" 7.98500000e-01 2.86239360e+01 6.93716800e-01 4.41324740e-01]\n",
" [4.93900000e-01 5.13969992e+03 3.67613000e-01 4.19277070e+00\n",
" 7.98800000e-01 2.38044139e+01 6.93795800e-01 2.78444380e-01]\n",
" [4.94000000e-01 6.82302725e+03 3.67841000e-01 6.58054527e+00\n",
" 7.99000000e-01 3.21805152e+01 6.94015000e-01 5.76701460e-01]]\n",
"\n",
" [[4.92600000e-01 5.75509792e+03 3.67608000e-01 4.81205131e+01\n",
" 8.00200000e-01 4.16793362e+01 6.93165600e-01 3.10123823e+00]\n",
" [4.92400000e-01 9.84990223e+03 3.67526000e-01 2.10671157e+01\n",
" 8.00300000e-01 8.04173570e+00 6.93038500e-01 1.14990365e+00]\n",
" [4.92500000e-01 8.54802390e+03 3.67587000e-01 1.16503534e+01\n",
" 8.00000000e-01 1.52858409e+02 6.93089600e-01 2.26364970e-01]\n",
" [4.92500000e-01 5.32515363e+03 3.67621000e-01 4.27023701e+00\n",
" 7.99900000e-01 2.02544244e+01 6.93207600e-01 6.67096820e-01]\n",
" [4.92500000e-01 2.83275925e+03 3.67625000e-01 1.87265988e+01\n",
" 7.99900000e-01 1.38751458e+01 6.93434400e-01 1.92171998e+00]\n",
" [4.92600000e-01 2.25925246e+04 3.67413000e-01 1.23766830e+02\n",
" 7.99800000e-01 2.29777418e+01 6.93089000e-01 5.42066520e-01]\n",
" [4.92600000e-01 1.16192775e+04 3.67479000e-01 1.42837791e+01\n",
" 7.99600000e-01 8.51286872e+00 6.93085100e-01 1.34806064e+00]\n",
" [4.92700000e-01 6.46768239e+03 3.67621000e-01 1.25676508e+01\n",
" 7.99900000e-01 1.49247738e+01 6.93126200e-01 8.99892260e-01]]\n",
"\n",
" [[4.95000000e-01 1.07008358e+04 3.69573000e-01 7.55537839e+00\n",
" 8.01800000e-01 7.29007627e+00 6.94660800e-01 1.72226637e+00]\n",
" [4.94900000e-01 2.75450860e+03 3.69619000e-01 7.32033056e+00\n",
" 8.02100000e-01 1.18809504e+01 6.94710300e-01 1.14962087e+00]\n",
" [4.95100000e-01 1.08410117e+04 3.69572000e-01 2.83773641e+00\n",
" 8.02000000e-01 7.58737369e+00 6.94613000e-01 1.24252866e+00]\n",
" [4.95100000e-01 1.72537831e+04 3.69656000e-01 1.45647462e+01\n",
" 8.02400000e-01 2.87925742e+01 6.94639700e-01 4.04561400e-01]\n",
" [4.94200000e-01 9.86041426e+02 3.69328000e-01 1.05481884e+00\n",
" 8.00900000e-01 8.18180430e+00 6.93793200e-01 1.52223720e-01]\n",
" [4.95600000e-01 1.43303516e+04 3.69860000e-01 1.33860206e+01\n",
" 8.02600000e-01 1.72982420e+01 6.94891100e-01 2.21427138e+00]\n",
" [4.95500000e-01 4.17154371e+03 3.69876000e-01 1.09511989e+01\n",
" 8.02300000e-01 5.71997851e+01 6.94977300e-01 3.97323409e+00]\n",
" [4.95800000e-01 2.65183452e+03 3.69938000e-01 1.68684779e+01\n",
" 8.02700000e-01 4.31418043e+00 6.95157800e-01 7.03872760e-01]]\n",
"\n",
" [[4.94800000e-01 1.89431957e+04 3.69246000e-01 1.00902993e+01\n",
" 8.04000000e-01 2.80570594e+01 6.95087900e-01 1.09283300e+00]\n",
" [4.95200000e-01 1.77274711e+04 3.69024000e-01 1.17578106e+01\n",
" 8.02000000e-01 1.36036515e+01 6.94672800e-01 1.73535308e+00]\n",
" [4.94700000e-01 5.93736492e+03 3.69205000e-01 4.00430064e+00\n",
" 8.03700000e-01 5.58754980e+01 6.95094700e-01 6.11436430e-01]\n",
" [4.94900000e-01 2.72499517e+04 3.69222000e-01 4.86308799e+00\n",
" 8.03400000e-01 6.79371760e+01 6.95006000e-01 1.45114199e+00]\n",
" [4.94500000e-01 9.56207886e+03 3.69142000e-01 1.21657638e+01\n",
" 8.03100000e-01 1.39407786e+01 6.94748700e-01 7.89065330e-01]\n",
" [4.94400000e-01 7.02915593e+03 3.69160000e-01 2.72298672e+00\n",
" 8.03100000e-01 1.97028165e+01 6.94839900e-01 4.33714160e-01]\n",
" [4.94600000e-01 8.80194057e+03 3.69213000e-01 1.10343026e+01\n",
" 8.03100000e-01 1.88170126e+01 6.94946500e-01 5.43629640e-01]\n",
" [4.94700000e-01 1.69578167e+04 3.69128000e-01 8.51258343e+00\n",
" 8.03800000e-01 2.15048197e+01 6.94797300e-01 5.96437430e-01]]\n",
"\n",
" [[4.94600000e-01 4.86422894e+03 3.68779000e-01 9.91169723e+00\n",
" 8.03400000e-01 1.42868230e+01 6.93821300e-01 3.88555360e-01]\n",
" [4.94700000e-01 4.91384285e+04 3.68987000e-01 1.00831321e+01\n",
" 8.03800000e-01 4.69497219e+01 6.94268400e-01 1.66799815e+00]\n",
" [4.94500000e-01 4.50217889e+03 3.68984000e-01 4.69434928e+00\n",
" 8.03900000e-01 1.21029552e+01 6.94185900e-01 8.78172000e-01]\n",
" [4.95300000e-01 2.60004030e+03 3.69160000e-01 1.81409645e+01\n",
" 8.01800000e-01 2.88165015e+01 6.94710300e-01 2.52977208e+00]\n",
" [4.94600000e-01 3.02959510e+04 3.68948000e-01 6.84444565e+00\n",
" 8.04200000e-01 1.12168509e+01 6.94186300e-01 7.30781200e-01]\n",
" [4.94500000e-01 8.75105937e+03 3.68947000e-01 3.93544853e+00\n",
" 8.04100000e-01 8.43232789e+00 6.94143000e-01 2.73413870e-01]\n",
" [4.94700000e-01 8.08725128e+03 3.68987000e-01 1.26816155e+01\n",
" 8.04200000e-01 2.14423490e+01 6.94200000e-01 8.23884290e-01]\n",
" [4.94700000e-01 1.58749120e+04 3.68941000e-01 7.55447244e+00\n",
" 8.03900000e-01 2.91841612e+01 6.94123900e-01 7.04898490e-01]]\n",
"\n",
" [[4.95100000e-01 8.29167555e+03 3.69282000e-01 1.82985366e+01\n",
" 8.05900000e-01 3.00306365e+01 6.95408300e-01 8.19471870e-01]\n",
" [4.95000000e-01 1.86604344e+03 3.69240000e-01 7.55855134e+00\n",
" 8.05200000e-01 3.26059709e+01 6.94863500e-01 5.20499770e-01]\n",
" [4.95200000e-01 1.42637913e+04 3.69329000e-01 9.66275562e+00\n",
" 8.05700000e-01 9.87090237e+00 6.95620300e-01 2.11625586e+00]\n",
" [4.95300000e-01 8.31469725e+03 3.69252000e-01 1.51421228e+01\n",
" 8.05300000e-01 7.73527880e+01 6.95537800e-01 2.98841999e+00]\n",
" [4.95200000e-01 4.12276630e+03 3.69268000e-01 1.61726013e+01\n",
" 8.05000000e-01 7.01341249e+01 6.95345800e-01 8.20871120e-01]\n",
" [4.95200000e-01 3.54415629e+03 3.69194000e-01 9.52500491e+00\n",
" 8.05000000e-01 7.20951413e+01 6.95208600e-01 4.15137160e+00]\n",
" [4.95200000e-01 1.68910388e+03 3.69162000e-01 1.19417970e+01\n",
" 8.05400000e-01 5.31725332e+01 6.95205000e-01 5.07932280e-01]\n",
" [4.95300000e-01 5.97806601e+03 3.69180000e-01 2.43125279e+01\n",
" 8.05800000e-01 1.82218695e+01 6.95247500e-01 8.31382440e-01]]]\n",
"(10, 8, 8)\n",
"YYYY ====== Actual Input ====== YYYY\n",
"[[[0.6915686]]\n",
"\n",
" [[0.6933044]]\n",
"\n",
" [[0.7122553]]\n",
"\n",
" [[0.6946416]]\n",
"\n",
" [[0.6940752]]\n",
"\n",
" [[0.6931973]]\n",
"\n",
" [[0.6952175]]\n",
"\n",
" [[0.6941199]]\n",
"\n",
" [[0.6946209]]\n",
"\n",
" [[0.6952265]]]\n",
"(10, 1, 1)\n"
]
}
],
"source": [
"# Validation Set - 06.18.2024\n",
"# ============================\n",
"# Reset Index\n",
"sample_valid = sample_valid.reset_index(drop = True)\n",
"sample_size = sample_valid.shape[0]\n",
"print ('sample_size: ', sample_size)\n",
"# sample_valid.head()\n",
"# sl = 8 # <--- sequence length\n",
"batch_valid = 10 # <--- batch size\n",
"# n_features = 8 # <---- no. of variables\n",
"# n_out = 1 # <----- no. of predicted variables\n",
"# frwd = 1 # <--- how many to predict\n",
"\n",
"# Trimming Indices !!!\n",
"# Marking selected rows\n",
"sample_valid['Selected'] = 0\n",
"\n",
"# Selecting m random rows without replacement\n",
"np.random.seed(374)\n",
"selected_indices = np.random.choice(sample_valid.index, size = batch_valid, replace = False)\n",
"\n",
"sample_valid.loc[selected_indices, 'Selected'] = 1 # print (sample_valid[sample_valid['Selected'] == 1])\n",
"chosen_idx1 = sample_valid[sample_valid['Selected'] == 1].index\n",
"chosen_idx2 = chosen_idx1[chosen_idx1 > sl]\n",
"\n",
"thrown_idx1 = chosen_idx1[chosen_idx1 <= sl]\n",
"cnt_thrown_idx1 = len(thrown_idx1)\n",
"\n",
"chosen_idx3 = chosen_idx2[chosen_idx2 < (sample_size - frwd)]\n",
"\n",
"thrown_idx2 = chosen_idx2[chosen_idx2 >= (sample_size - frwd)]\n",
"cnt_thrown_idx2 = len(thrown_idx2)\n",
"\n",
"cnt_thrown_idx = cnt_thrown_idx1 + cnt_thrown_idx2\n",
"\n",
"print (selected_indices)\n",
"\n",
"all_ts_close_xrp = np.empty((1, )) # final input/output\n",
"all_ts_close_eth = np.empty((1, )) # final input/output\n",
"all_ts_close_ltc = np.empty((1, )) # final input/output\n",
"all_ts_close_btc = np.empty((1, )) # final input/output\n",
"\n",
"all_ts_volume_xrp = np.empty((1, )) # final input/output\n",
"all_ts_volume_eth = np.empty((1, )) # final input/output\n",
"all_ts_volume_ltc = np.empty((1, )) # final input/output\n",
"all_ts_volume_btc = np.empty((1, )) # final input/output\n",
"\n",
"stdev_xrp = np.empty((1, )) # final input/output\n",
"stdev_eth = np.empty((1, )) # final input/output\n",
"stdev_ltc = np.empty((1, )) # final input/output\n",
"stdev_btc = np.empty((1, )) # final input/output\n",
"\n",
"\n",
"aft_ts_close_xrp = np.empty((1))\n",
"aft_ts_close_eth = np.empty((1))\n",
"aft_ts_close_ltc = np.empty((1))\n",
"aft_ts_close_btc = np.empty((1))\n",
"\n",
"for idx in chosen_idx3:\n",
" selected_rows_before = sample_valid.iloc[max(0, idx-sl): idx]\n",
" selected_rows_after = sample_valid.iloc[max(0, idx): idx+frwd]\n",
"\n",
" # xrp\n",
" sr_before_close_xrp = np.array(selected_rows_before['close_xrp'])\n",
" sr_after_close_xrp = np.array(selected_rows_after['close_xrp']) \n",
" # print (sr_before_close_xrp)\n",
" sr_before_volume_xrp = np.array(selected_rows_before['volume_xrp'])\n",
" sr_after_volume_xrp = np.array(selected_rows_after['volume_xrp']) \n",
" # print (sr_before_volume_xrp) \n",
" # Compute standard deviation\n",
" std_dev_xrp = np.std(sr_before_close_xrp)\n",
" std_dev_xrp_arr = np.repeat(std_dev_xrp, sl)\n",
" # print(std_dev_xrp_arr)\n",
" \n",
"# eth\n",
" sr_before_close_eth = np.array(selected_rows_before['close_eth'])\n",
" sr_after_close_eth = np.array(selected_rows_after['close_eth'])\n",
" sr_before_volume_eth = np.array(selected_rows_before['volume_eth'])\n",
" sr_after_volume_eth = np.array(selected_rows_after['volume_eth'])\n",
" # Compute standard deviation\n",
" std_dev_eth = np.std(sr_before_close_eth)\n",
" std_dev_eth_arr = np.repeat(std_dev_eth, sl)\n",
" # print(std_dev_eth_arr)\n",
" \n",
"# ltc\n",
" sr_before_close_ltc = np.array(selected_rows_before['close_ltc'])\n",
" sr_after_close_ltc = np.array(selected_rows_after['close_ltc'])\n",
" sr_before_volume_ltc = np.array(selected_rows_before['volume_ltc'])\n",
" sr_after_volume_ltc = np.array(selected_rows_after['volume_ltc'])\n",
"# Compute standard deviation\n",
" std_dev_ltc = np.std(sr_before_close_ltc)\n",
" std_dev_ltc_arr = np.repeat(std_dev_ltc, sl)\n",
" # print(std_dev_ltc_arr)\n",
"\n",
"# btc\n",
" sr_before_close_btc = np.array(selected_rows_before['close_btc'])\n",
" sr_after_close_btc = np.array(selected_rows_after['close_btc'])\n",
" sr_before_volume_btc = np.array(selected_rows_before['volume_btc'])\n",
" sr_after_volume_btc = np.array(selected_rows_after['volume_btc'])\n",
" # Compute standard deviation\n",
" std_dev_btc = np.std(sr_before_close_btc)\n",
" std_dev_btc_arr = np.repeat(std_dev_btc, sl)\n",
" # print(std_dev_btc_arr)\n",
"\n",
"# xrp\n",
" all_ts_close_xrp = np.concatenate((all_ts_close_xrp, sr_before_close_xrp))\n",
" all_ts_volume_xrp = np.concatenate((all_ts_volume_xrp, sr_before_volume_xrp))\n",
" stdev_xrp = np.concatenate((stdev_xrp, std_dev_xrp_arr))\n",
"# eth\n",
" all_ts_close_eth = np.concatenate((all_ts_close_eth, sr_before_close_eth))\n",
" all_ts_volume_eth = np.concatenate((all_ts_volume_eth, sr_before_volume_eth))\n",
" stdev_eth = np.concatenate((stdev_eth, std_dev_eth_arr))\n",
"# ltc\n",
" all_ts_close_ltc = np.concatenate((all_ts_close_ltc, sr_before_close_ltc))\n",
" all_ts_volume_ltc = np.concatenate((all_ts_volume_ltc, sr_before_volume_ltc))\n",
" stdev_ltc = np.concatenate((stdev_ltc, std_dev_ltc_arr))\n",
"# btc\n",
" all_ts_close_btc = np.concatenate((all_ts_close_btc, sr_before_close_btc))\n",
" all_ts_volume_btc = np.concatenate((all_ts_volume_btc, sr_before_volume_btc))\n",
" stdev_btc = np.concatenate((stdev_btc, std_dev_btc_arr))\n",
"\n",
"\n",
" aft_ts_close_xrp = np.concatenate((aft_ts_close_xrp, sr_after_close_xrp))\n",
" aft_ts_close_eth = np.concatenate((aft_ts_close_eth, sr_after_close_eth))\n",
" aft_ts_close_ltc = np.concatenate((aft_ts_close_ltc, sr_after_close_ltc))\n",
" aft_ts_close_btc = np.concatenate((aft_ts_close_btc, sr_after_close_btc))\n",
"\n",
"\n",
"X_XRP_close = all_ts_close_xrp[1:]\n",
"X_XRP_volume = all_ts_volume_xrp[1:]\n",
"X_XRP_stdev = stdev_xrp[1:]\n",
"\n",
"\n",
"X_ETH_close = all_ts_close_eth[1:]\n",
"X_ETH_volume = all_ts_volume_eth[1:]\n",
"X_ETH_stdev = stdev_eth[1:]\n",
"\n",
"X_LTC_close = all_ts_close_ltc[1:]\n",
"X_LTC_volume = all_ts_volume_ltc[1:]\n",
"X_LTC_stdev = stdev_ltc[1:]\n",
"\n",
"X_BTC_close = all_ts_close_btc[1:]\n",
"X_BTC_volume = all_ts_volume_btc[1:]\n",
"X_BTC_stdev = stdev_btc[1:]\n",
"\n",
"X0_valid = np.column_stack((X_XRP_close, X_XRP_volume, \n",
" X_ETH_close, X_ETH_volume, \n",
" X_LTC_close, X_LTC_volume, \n",
" X_BTC_close, X_BTC_volume))\n",
"# print (X0)\n",
"\n",
"# ======== Model Input =========\n",
"X_valid = X0_valid.reshape(batch_valid-cnt_thrown_idx, sl, n_features)\n",
"print ('XXXX ====== Actual Input ====== XXXX')\n",
"print (X_valid)\n",
"print (X_valid.shape)\n",
"\n",
"y_XRP = aft_ts_close_xrp[1:]\n",
"y_ETH = aft_ts_close_eth[1:]\n",
"y_LTC = aft_ts_close_ltc[1:]\n",
"y_BTC = aft_ts_close_btc[1:]\n",
"\n",
"# y_valid = np.column_stack((y_XRP, y_ETH, y_LTC, y_BTC))\n",
"# print (y_valid)\n",
"\n",
"y_valid = y_BTC.reshape(batch_valid-cnt_thrown_idx, frwd, n_out)\n",
"print ('YYYY ====== Actual Input ====== YYYY')\n",
"print (y_valid)\n",
"print (y_valid.shape)"
]
},
{
"cell_type": "code",
"execution_count": 170,
"id": "263e1cab-3b94-49e2-a278-fa0336867310",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\u001b[1m1/1\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 554ms/step\n",
"y_valid\n",
"<class 'numpy.ndarray'>\n",
"(10, 1, 1)\n",
"[[[0.6915686]]\n",
"\n",
" [[0.6933044]]\n",
"\n",
" [[0.7122553]]\n",
"\n",
" [[0.6946416]]\n",
"\n",
" [[0.6940752]]\n",
"\n",
" [[0.6931973]]\n",
"\n",
" [[0.6952175]]\n",
"\n",
" [[0.6941199]]\n",
"\n",
" [[0.6946209]]\n",
"\n",
" [[0.6952265]]]\n",
"y_hat\n",
"<class 'numpy.ndarray'>\n",
"(10, 1)\n",
"[[ 8.0367511e+02]\n",
" [ 1.3962366e+02]\n",
" [ 5.3128414e+01]\n",
" [-5.9378960e+01]\n",
" [-6.6341087e+01]\n",
" [-6.4128904e+00]\n",
" [ 2.1907943e-03]\n",
" [-1.9205887e+01]\n",
" [-1.2864524e+01]\n",
" [-9.5366278e+00]]\n"
]
}
],
"source": [
"y_hat = model_8f.predict(X_valid, verbose = 1).reshape(batch_valid-cnt_thrown_idx, frwd)\n",
"# print (sl)\n",
"\n",
"print ('y_valid')\n",
"print (type(y_valid))\n",
"print (y_valid.shape)\n",
"print (y_valid)\n",
"# print (y_valid[0:10])\n",
"\n",
"print ('y_hat')\n",
"print (type(y_hat))\n",
"print (y_hat.shape)\n",
"print (y_hat)\n",
"# y_ht1 = y_hat.reshape(batch-cnt_thrown_idx, frwd)\n",
"# # print (y_hat[0:10])\n",
"# print (y_ht1)"
]
},
{
"cell_type": "code",
"execution_count": 171,
"id": "e1969a05-91ff-40df-a466-01edd42f1b40",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n",
"0\n"
]
},
{
"data": {
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lpaVpy5YtmjZtmjp37qyzzjrrtPoJAEHJ2oEoc+h30+E++OADQ5JRr169cj+RkZGVTnmYNWuWERkZaezatasWqwYQDi677DIjJibGOHTo0HHPGTVqlBEVFWXs27fPMAzD2L9/vzFu3DijadOmRnR0tJGWlmaMHDky8LxhGMb7779vtG/f3oiMjKwwNe7JJ580mjZtajgcDqN79+7G8uXLK2yR7fP5jEceecRo3ry54XA4jC5duhgffPCBMXLkyBNOh3O73ca9995rZGVlGQkJCUa9evWMrKws4x//+EeVe5KTk2NIMmw2m7Ft27Zyz+3bt88YO3as0a5dO6NevXpGYmKi0a1bN2Pu3Lnlzhs5cmS5ba6P52TT4fx++OEHo3///kZ8fLwRFxdnXHzxxcbXX39d7pzjTYc79lr9+/c3EhMTjZiYGKNVq1bGqFGjjOXLl5c7b9WqVcaVV15pJCUlGTExMUbbtm2Nv/3tb4HnDxw4YIwePdpo2LChER8fb/Tv399Ys2ZNhe3PH374YeO8884zkpKSjNjYWKNdu3bG5MmTjZKSksA5paWlxh133GEkJycbNpstMDVu3rx5Rr9+/YxGjRoZ0dHRRrNmzYxbbrnFyM/PP2GfAKCushnG78bYQ4DNZtP8+fM1ZMgQSWW7DY0YMUKrV68ut42pVDZdoEmTJuWO9enTR06ns9LpJwAAAADqtrCYDtelSxd5vV7t2bPnpGt8Nm3apC+++CIwHx8AAABAaAmZEFRUVKQNGzYEHm/atEm5ubmqX7++2rRpoxEjRuiGG27Qk08+qS5dumjv3r1atGiRMjMzNWjQoMDrXnvtNaWkpGjgwIFWfAwAAAAAJguZ6XCLFy8O3Hn9WCNHjtTMmTPl8Xj08MMP64033tCOHTvUsGFD/c///I8mTZqkTp06SSq7t0Pz5s11ww03aPLkybX9EQAAAADUgpAJQQAAAABQFWFznyAAAAAAkAhBAAAAAMJMnd4YwefzaefOnUpISJDNZrO6HAAAAAAWMQxDhYWFSk1NVUTEicd66nQI2rlzp9LT060uAwAAAECQ2LZtm9LS0k54Tp0OQQkJCZLKPqjT6bS0Fo/Ho08//VT9+vVTVFSUpbWEIvprPnpsLvprLvprLvprLvprLvprrmDqr8vlUnp6eiAjnEidDkH+KXBOpzMoQlBcXJycTqflfwFCEf01Hz02F/01F/01F/01F/01F/01VzD2tyrLZNgYAQAAAEBYIQQBAAAACCuEIAAAAABhpU6vCaoKwzBUWloqr9dr6nU8Ho8iIyN15MgR068Vbux2uwzDsLoMAAAAhIiQDkElJSXKz89XcXGx6dcyDENNmjTRtm3buGeRCWJiYk663zsAAABQFSEbgnw+nzZt2iS73a7U1FRFR0ebGk58Pp+KiooUHx/PL+s1yDAMlZSUaM+ePUpOTpbP57O6JAAAANRxIRuCSkpK5PP5lJ6erri4ONOv5/P5VFJSwoiFCWJjY2W32+VyueTxeORwOKwuCQAAAHVYyP+2TiAJDf7vkbVBAAAAOF0kBAAAAABhhRAEAAAAIKwQggAAAACEFULQCTyds07PLlpf6XPPLlqvp3PWmXLdUaNGyWazVfjZsGGDKdcz28yZM5WUlGR1GQAAAIAkQtAJ2SNseqqSIPTsovV6Kmed7BHmbbk9YMAA5efnl/tp0aJFtd+npKTEhOoAAACAuiusQpBhGCouKa3yz009W+iO3mfqqZx1evLTtSouKdWTn67VUznrdEfvM3VTzxblzj9c4q30fU5lRzOHw6EmTZqU+7Hb7VqyZInOO+88ORwOpaSk6IEHHlBpaWngdb169dK4ceN01113qWHDhurfv78kadWqVRo4cKDi4+PVuHFj/fGPf9S+ffsCr/P5fHr88cd15plnyuFwqFmzZpo8eXLg+fvvv19t2rRRXFycWrZsqb/97W/yeDyB5/Py8nTxxRcrISFBTqdTZ599tpYvX67Fixdr9OjRKigoCIxoZWdnS5L+8Y9/qHXr1oqJiVHjxo119dVXV7tPAAAAQHWF7H2CKnPY41X7iZ+c0munfb5B0z7fcNzHJ/LT3/srLvr0W71jxw5deumlGjVqlN544w2tWbNGN998s2JiYgLBQpJef/113Xbbbfrqq68kSQcPHlTv3r1100036emnn9bhw4d1//33a9iwYfr8888lSQ8++KBefvllPf300+rRo4fy8/O1Zs2awHsmJCRo5syZSk1N1cqVK3XzzTcrISFB9913nyRpxIgR6tKli6ZPny673a7c3FxFRUXpggsu0NSpUzVx4kStXbtWkhQfH6/ly5frzjvv1JtvvqkLLrhAv/76q/7zn/+cdo8AAABgrqePzoi6s0/rCs89u2i9vD5Dd/dtY0FlVRdWIagu+eCDDxQfHx94PHDgQLVp00bp6el67rnnZLPZ1K5dO+3cuVP333+/Jk6cGLiXTuvWrfX4448HXvvwww+rS5cueuSRRwLHXnvtNaWnp2vdunVKSUnRM888o+eee04jR46UJLVq1Uo9evQInP/Xv/418M8ZGRm65557NHv27EAI2rp1q+699161a9cuUINfYmKibDabmjRpEji2detW1atXT4MHD1ZCQoKaN2+uLl261EjvAAAAYB7/khFJuu3CjMBx/5KRCUEegCSLQ5DX61V2drbeeust7dq1S6mpqRo1apT++te/ymar+fU2sVF2/fT3/tV+3fTFGzXt8w2Kstvk8Rq6o/eZuq1Xq3Ln+Hw+FboKleBMqHCD1tgoe7WvefHFF2v69OmBx/Xq1dPYsWN1/vnnl+tN9+7dVVRUpO3bt6tZs2aSpLPPPrvce+Xl5emLL74oF6r8Nm7cqIMHD8rtdqtPnz7HrWfOnDl69tlntXHjRhUVFam0tFROpzPw/IQJE3TTTTfpzTff1CWXXKKhQ4eqVatWx32/vn37qnnz5mrZsqUGDBigAQMG6Morr1RcXNzJmwMAAADL+EeAnspZp9ytB5QZJT37+QZN++IXTejbptIRomBjaQh67LHHNH36dL3++uvq0KGDli9frtGjRysxMVF33nlnjV/PZrNVe1ras4vWa9rnGwJfqD/hRtkjyn3BPp9PpdF2xUVHVghBp6JevXo688wzT/m1xyoqKtJll12mxx57rMK5KSkp+uWXX074ft98841GjBihSZMmqX///kpMTNTs2bP15JNPBs7Jzs7Wddddpw8//FALFy7UQw89pNmzZ+vKK6+s9D0TEhL0ww8/aPHixfr00081ceJEZWdna9myZewkBwAAEOTu7NNah9ylenHpL/pcdkl1JwBJFm+M8PXXX+uKK67QoEGDlJGRoauvvlr9+vXTd999Z2VZAccO6fm/0Dv7tNaEvm0q3TXObGeddZa++eabchstfPXVV0pISFBaWtpxX9e1a1etXr1aGRkZOvPMM8v91KtXT61bt1ZsbKwWLVpU6eu//vprNW/eXH/5y190zjnnqHXr1tqyZUuF89q0aaO7775bn376qf7whz9oxowZkqTo6Gh5vd4K50dGRuqSSy7R448/rhUrVmjz5s2BNUoAAAAIbudk1D/6TzZF2StfIxSsLB0JuuCCC/TSSy9p3bp1atOmjfLy8vTll1/qqaeeqvR8t9stt9sdeOxyuSRJHo+n3E5l/mOGYcjn88nn851SfaVen+6+pLXGXdyq3HuMu7iVDMNQqfe39/YHE/81T4dhGJW+z6233qqpU6dq3LhxGjt2rNauXauHHnpId999tySVq+XY19522216+eWXNXz4cN17772qX7++NmzYoDlz5ujll19WdHS07rvvPt13332KjIxU9+7dtXfvXq1evVo33nijWrVqpa1bt2rWrFk699xz9dFHH2n+/PmBax4+fFj33XefrrrqKrVo0ULbt2/XsmXL9Ic//EE+n0/NmjVTUVGRcnJylJWVpbi4OH3++efatGmTevbsqTPOOEMfffSRfD6fWrduXWn//P0tLS2t8F2jZvj7Sn/NQX/NRX/NRX/NRX/NRX/N8/LSjZIkmwx5vNLTn67RuIuPvxzCbNX5ji0NQQ888IBcLpfatWsnu90ur9eryZMna8SIEZWeP2XKFE2aNKnC8U8//bTCWpLIyEg1adJERUVFp3yvnDHnNZb0W9g61shzGlX6XGFh4Sld61gej0elpaUV3jshIUFz587VxIkT9corr+iMM87QiBEjdMcddwTOLS0tVUlJSbnXxsfHa+HChcrOzlb//v1VUlKi9PR09enTR0VFRbLZbLrzzjtVWlqqiRMnateuXWrcuLFGjx4tl8ulXr166bbbbtMdd9yhkpIS9e3bV/fcc48effRRuVwulZSUaNeuXbrhhhu0d+9eNWjQQIMHD9aECRPkcrnUsWNHjR49WsOHD9evv/6q+++/XxdddJHeeecdZWdny+12q2XLlnrllVeUnp5eab/93+HXX39dbktw1LycnByrSwhp9Ndc9Ndc9Ndc9Ndc9LdmfbLdpu+2la17v7qFT4dKpWc+36j169epf1r1bw9TE4qLi6t8rs04lZvY1JDZs2fr3nvv1RNPPKEOHTooNzdXd911l5566qnALmXHqmwkKD09Xfv27Su3SF+Sjhw5om3btikjI0MxMTGmfxbDMFRYWKiEhARTNnUId4cPH9aaNWvUsmXLSjd4wOnzeDzKyclR3759FRUVZXU5IYf+mov+mov+mov+mov+1rznvtioZz7fKEdkhNylPt3TqVRjruyrF7/cqmc+36jxvVtZMiLkcrnUsGFDFRQUVMgGv2fpSNC9996rBx54QMOHD5ckderUSVu2bNGUKVMqDUEOh0MOh6PC8aioqAp/qb1er2w2myIiImpko4KT8U/h8l8TNcsfLCMjI/kXmMkq+98Tag79NRf9NRf9NRf9NRf9rUG2CI3pnqHXvtqs6MgIpcSV9ffufkdnd/kMS3pdnWtaGoKKi4srBAa73X7aa2oAAAAAmOPuvm30fu4OSVL7lARFRuwPPFdXNkewNARddtllmjx5spo1a6YOHTroxx9/1FNPPaUxY8ZYWRYAAACAE8jddlCS1KlpoqT9Jzw3GFkagqZNm6a//e1vuv3227Vnzx6lpqbqlltu0cSJE60sCwAAAMAJrNheIEnKauqUdlpczCmwNAQlJCRo6tSpmjp1qpVlAAAAAKgij9enVTvKQlBmWqJ+roMhiBX8AAAAAKps7a5CuUt9SoiJVPP6cSd/QRAiBAEAAACossBUuLQkRUTUzVvDEIIAAAAAVFne0U0RstITrS3kNBCCAAAAAFRZ3vaDkqTMtCRL6zgdhKCq8HmlTf+RVs4r+9Pntboiy9hsNr333ntWlwEAAAALFJeUat3uQklS5/Qka4s5DYSgk/lpgTS1o/T6YOlfN5b9ObVj2XGTffPNN7Lb7Ro0aFC1XpeRkcGOewAAAKhxq3a45DOkJs4YNXbGWF3OKSMEnchPC6S5N0iu3+3758ovO25yEHr11Vd1xx13aOnSpdq5sw7uPQgAAICQ4l8PlJlWd9cDSeEWggxDKjlUtZ8jLmnhfZKMyt6o7I+P7y87z/8aT3Hl72VU9h4nVlRUpDlz5ui2227ToEGDNHPmzHLP//vf/9a5556rmJgYNWzYUFdeeaUkqVevXtqyZYvuvvtu2Ww22WxlO3ZkZ2erc+fO5d5j6tSpysjICDxetmyZ+vbtq4YNGyoxMVEXXXSRfvjhh+PWWFJSonHjxiklJUUxMTFq3ry5pkyZUu3PCgAAgLoh9+h6oKw6PBVOsvhmqbXOUyw9klpDb2aUjRA9mi6pLE0mHe/UP++UoutV693nzp2rdu3aqW3btrr++ut111136cEHH5TNZtOHH36oK6+8Un/5y1/0xhtvqKSkRB999JEk6d1331VWVpb+9Kc/6eabb67WNQsLCzVy5EhNmzZNhmHoySef1KWXXqr169crISGhwvnPPvusFixYoLlz56pZs2batm2btm3bVq1rAgAAoO5YcTQE1eX1QFK4haA65NVXX9X1118vSRowYIAKCgq0ZMkS9erVS5MnT9bw4cM1adKkwPlZWVmSpPr168tutyshIUFNmjSp1jV79+5d7vFLL72kpKQkLVmyRIMHD65w/tatW9W6dWv16NFDNptNzZs3r+7HBAAAQB2xv8itbb8eliR1quPT4cIrBEXFlY3KVMWWr6W3rz75eSPmSc0vkM/nk6uwUM6EBEVE/G6WYVT17qS7du1afffdd5o/f74kKTIyUtdcc41effVV9erVS7m5udUe5amK3bt3669//asWL16sPXv2yOv1qri4WFu3bq30/FGjRqlv375q27atBgwYoMGDB6tfv341XhcAAACs579JasvkenLGRFlczekJrxBks1V9Wlqr3pIztWwThErXBdnKnm/VW4qwSz6fFOUte//fh6BqevXVV1VaWqrU1N+m7hmGIYfDoeeee06xsbHVfs+IiAgZv1ub5PF4yj0eOXKk9u/fr2eeeUbNmzeXw+HQ+eefr5KSkkrfs2vXrtq0aZMWLlyozz77TMOGDdMll1yiefPmVbs+AAAABDf//YE61+H7A/mF18YI1RFhlwY8dvSB7XdPHn084NGy82pQaWmp3njjDT355JPKzc0N/OTl5Sk1NVX//Oc/lZmZqUWLFh33PaKjo+X1lr+XUXJysnbt2lUuCOXm5pY756uvvtKdd96pSy+9VB06dJDD4dC+fftOWK/T6dQ111yjl19+WXPmzNG//vUv/frrr9X/4AAAAAhq/p3h6vqmCFK4jQRVV/vLpWFvlO0Cd+w22c7UsgDU/vIav+QHH3ygAwcO6MYbb1RiYvm5lldddZVeffVVPfHEE+rTp49atWql4cOHq7S0VB999JHuv/9+SWX3CVq6dKmGDx8uh8Ohhg0bqlevXtq7d68ef/xxXX311fr444+1cOFCOZ3OwPu3bt1ab775ps455xy5XC7de++9Jxx1euqpp5SSkqIuXbooIiJC77zzjpo0aaKkpKQa7wsAAACsYxiG8o5Oh6vr22NLjASdXPvLpbtWSSM/kK56tezPu1aaEoCksqlwl1xySYUAJJWFoOXLl6t+/fp65513tGDBAnXu3Fm9e/fWd999Fzjv73//uzZv3qxWrVopOTlZknTWWWfpH//4h55//nllZWXpu+++0z333FPh2gcOHFDXrl31xz/+UXfeeacaNWp03FoTEhL0+OOP65xzztG5556rzZs366OPPqq4JgoAAAB12vYDh/XroRJF2W06K8V58hcEOUaCqiLCLrXoWSuX+ve//33c584777zAdLbMzEz94Q9/qPS8//mf/1FeXl6F47feeqtuvfXWcsf+/Oc/B/65S5cuWrZsWbnnr766/OYQx06nu/nmm03ZoAEAAADBxb8e6KwUp2KianY5iBX4T/YAAAAATsi/HigUpsJJhCAAAAAAJ+FfD5QVAjvDSYQgAAAAACdQ6vVp5dEQ1DkEdoaTCEEAAAAATmDD3iId9nhVL9qulsnxVpdTI0I+BP3+BqGom/zfo832+3s2AQAAwEwrtpWNAnVKS5Q9IjR+FwvZEBQVFSVJKi4utrgS1ITi4mL5fD5FRrKhIQAAQG3KPbozXCjcJNUvZH+jtNvtSkpK0p49eyRJcXFxpo4i+Hw+lZSU6MiRI9wnpwYZhqHi4mLt3btXhYWFstvr/paMAAAAdYl/Z7hQ2RRBCuEQJElNmjSRpEAQMpNhGDp8+LBiY2OZsmUCp9Op9evXW10GAABAWDni8WrtrkJJjATVGTabTSkpKWrUqJE8Ho+p1/J4PFq6dKkuvPDCwFQ81IyoqCj5fD6rywAAAAg7q3e6VOoz1DDeodTEGKvLqTEhHYL87Ha76dOo7Ha7SktLFRMTQwgyASEIAACg9v02FS4xpGY7sXgFAAAAQKVWhOCmCBIhCAAAAMBx5B29SSohCAAAAEDIO1hcok37Dkkqmw4XSghBAAAAACpYcXQUqHmDOCXFRVtcTc0iBAEAAACoILAeKITuD+RHCAIAAABQQe620FwPJBGCAAAAAPyOYRjKC4wEhdZ6IIkQBAAAAOB3drmOaG+hW/YImzqkEoIAAAAAhDj/TVLbNk5QbLTd2mJMQAgCAAAAUM5v64FCbxRIIgQBAAAA+J1Q3hlOIgQBAAAAOIbPZwTuERSKO8NJhCAAAAAAx/hlX5GK3KWKiYpQ60bxVpdjCkIQAAAAgIC8o+uBOjVNVKQ9NONCaH4qAAAAAKckL8TXA0kWh6CMjAzZbLYKP2PHjrWyLAAAACBs+bfHzgzR9UCSFGnlxZctWyav1xt4vGrVKvXt21dDhw61sCoAAAAgPLlLvfo5v1CS1DmER4IsDUHJycnlHj/66KNq1aqVLrroIosqAgAAAMLXmvxClXh9OiMuSun1Y60uxzSWhqBjlZSU6K233tKECRNks9kqPcftdsvtdgceu1wuSZLH45HH46mVOo/Hf32r6whV9Nd89Nhc9Ndc9Ndc9Ndc9Ndc9Ld6ftiyX5LUqalTpaWlJz0/mPpbnRpshmEYJtZSZXPnztV1112nrVu3KjU1tdJzsrOzNWnSpArHZ82apbi4OLNLBAAAAELa2xsi9N3eCPVP8+nSdJ/V5VRLcXGxrrvuOhUUFMjpdJ7w3KAJQf3791d0dLT+/e9/H/ecykaC0tPTtW/fvpN+ULN5PB7l5OSob9++ioqKsrSWUER/zUePzUV/zUV/zUV/zUV/zUV/q2fAs19p495Deun6Lrq4bfJJzw+m/rpcLjVs2LBKISgopsNt2bJFn332md59990TnudwOORwOCocj4qKsrzpfsFUSyiiv+ajx+aiv+aiv+aiv+aiv+aivydXeMSjX/YdkiR1zWhQrX4FQ3+rc/2guE/QjBkz1KhRIw0aNMjqUgAAAICwtHJHgQxDapoUq4bxFQceQonlIcjn82nGjBkaOXKkIiODYmAKAAAACDt52wokSZ1D+P5AfpaHoM8++0xbt27VmDFjrC4FAAAACFv+m6RmpSdaW0gtsHzopV+/fgqSvRkAAACAsLVi+0FJUmYI3yTVz/KRIAAAAADW2uM6op0FRxRhkzo1Df2RIEIQAAAAEObytpetB2rdKEH1HJZPFjMdIQgAAAAIc/71QJlpoT8KJBGCAAAAgLCXd3Q9UFYY7AwnEYIAAACAsGYYRmAkKBy2x5YIQQAAAEBY27y/WK4jpYqOjFDbJglWl1MrCEEAAABAGPNvjd0h1akoe3jEg/D4lAAAAAAqleu/SWoY3B/IjxAEAAAAhDH/eqCs9PDYGU4iBAEAAABhy+P1afVOlyRGggAAAACEgbW7CuUu9ckZE6mMBvWsLqfWEIIAAACAMOW/P1BmWpIiImzWFlOLCEEAAABAmFqxrUBSeK0HkghBAAAAQNjyjwSF03ogiRAEAAAAhKXiklKt210oScpKT7K2mFpGCAIAAADC0KodLvkMqYkzRo2dMVaXU6sIQQAAAEAYCsf7A/kRggAAAIAwlHvMznDhhhAEAAAAhKEVR0NQ5zBbDyQRggAAAICws7/IrW2/HpYkdUpjOhwAAACAELdie9n9gVol15MzJsriamofIQgAAAAIM+F6fyA/QhAAAAAQZn7bGS7J0jqsQggCAAAAwohhGMo7Oh2OEAQAAAAg5G0/cFi/HipRlN2ms1ISrC7HEoQgAAAAIIz41wOdleKUI9JubTEWIQQBAAAAYSSwHihMN0WQCEEAAABAWMnbVrYeKDMM7w/kRwgCAAAAwkSp16eVO8pCUOcw3RRBIgQBAAAAYWPD3iId9ngV74hUy+R4q8uxDCEIAAAACBP+9UAdmzplj7BZW4yFCEEAAABAmAj3+wP5EYIAAACAMOEfCeocxjvDSYQgAAAAICwc8Xi1ZlehJCmTkSAAAAAAoW71Tpe8PkMN4x1KTYyxuhxLEYIAAACAMBCYCpeeKJstfDdFkAhBAAAAQFjI235QkpQZ5uuBJEIQAAAAEBZWsDNcACEIAAAACHEHi0u0ad8hSVJWWqLF1ViPEAQAAACEOP8oUPMGcUqKi7a4GusRggAAAIAQt+LoeqAs1gNJCoIQtGPHDl1//fVq0KCBYmNj1alTJy1fvtzqsgAAAICQkbuN9UDHirTy4gcOHFD37t118cUXa+HChUpOTtb69et1xhlnWFkWAAAAEDIMwwjsDNc5nfVAksUh6LHHHlN6erpmzJgRONaiRQsLKwIAAABCyy7XEe0tdMseYVP7FEKQZHEIWrBggfr376+hQ4dqyZIlatq0qW6//XbdfPPNlZ7vdrvldrsDj10ulyTJ4/HI4/HUSs3H47++1XWEKvprPnpsLvprLvprLvprLvprLvorfb9pvySpTaN4Rdp88nh8NfbewdTf6tRgMwzDMLGWE4qJiZEkTZgwQUOHDtWyZcs0fvx4vfDCCxo5cmSF87OzszVp0qQKx2fNmqW4uDjT6wUAAADqmgVbIrRoZ4QuaOTTNa1qLgAFm+LiYl133XUqKCiQ0+k84bmWhqDo6Gidc845+vrrrwPH7rzzTi1btkzffPNNhfMrGwlKT0/Xvn37TvpBzebxeJSTk6O+ffsqKirK0lpCEf01Hz02F/01F/01F/01F/01F/2VbpixXN/88qsmX9Few85Jq9H3Dqb+ulwuNWzYsEohyNLpcCkpKWrfvn25Y2eddZb+9a9/VXq+w+GQw+GocDwqKsrypvsFUy2hiP6ajx6bi/6ai/6ai/6ai/6aK1z76/MZWrmjbAlJ14wGpvUgGPpbnetbukV29+7dtXbt2nLH1q1bp+bNm1tUEQAAABA6ftlXpCJ3qWKj7GrdKN7qcoKGpSHo7rvv1rfffqtHHnlEGzZs0KxZs/TSSy9p7NixVpYFAAAAhIS8o/cH6tjUqUi75bcIDRqWduLcc8/V/Pnz9c9//lMdO3bU//3f/2nq1KkaMWKElWUBAAAAIcF/f6CstCRL6wg2lq4JkqTBgwdr8ODBVpcBAAAAhJy8bQclSVnpSZbWEWwYEwMAAABCkLvUq5/yyzZFYCSoPEIQAAAAEILW5BfK4zV0RlyU0uvHWl1OUCEEAQAAACEosB4oPUk2m83aYoIMIQgAAAAIQblH1wNlMhWuAkIQAAAAEIJWbC/bHrtzeqLFlQQfQhAAAAAQYlxHPNq4t0gSI0GVIQQBAAAAIWbV9gIZhtQ0KVYN4x1WlxN0CEEAAABAiMkLTIVLsraQIEUIAgAAAELMbzdJZT1QZQhBAAAAQIjxb4/NeqDKEYIAAACAELLHdUT5BUcUYZM6NWUkqDKEIAAAACCE+NcDtW6UoHqOSIurCU6EIAAAACCEsB7o5AhBAAAAQAhhPdDJEYIAAACAEGEYRmAkiO2xj48QBAAAAISIzfuL5TpSqujICLVtkmB1OUGLEAQAAACEiBVHp8J1SHUqys6v+sdDZwAAAIAQkevfFIH1QCdECAIAAABCBOuBqoYQBAAAAIQAj9en1TtdkqTMNLbHPhFCEAAAABAC1u4qlLvUJ2dMpDIa1LO6nKBGCAIAAABCgP/+QFnpSYqIsFlbTJAjBAEAAAAhYMW2AklMhasKQhAAAAAQAgIjQewMd1KEIAAAAKCOO+Qu1brdhZLYGa4qCEEAAABAHbdqR4F8htTEGaNGzhirywl6hCAAAACgjluxvWw9UFY664GqghAEAAAA1HG5x+wMh5MjBAEAAAB1XN62g5LYFKGqCEEAAABAHba/yK3tBw5LkjqxPXaVEIIAAACAOsy/HqhVcj05Y6IsrqZuIAQBAAAAdVguU+GqjRAEAAAA1GEr2BSh2ghBAAAAQB1lGIbyAttjJ1lbTB1CCAIAAADqqO0HDuvXQyWKstt0VkqC1eXUGYQgAAAAoI7KOzoV7qwUpxyRdmuLqUMIQQAAAEAdxf2BTg0hCAAAAKij8raxHuhUEIIAAACAOqjU69PKHUdDEDdJrRZCEAAAAFAHbdhbpMMer+IdkWqZHG91OXUKIQgAAACog/zrgTo1TZQ9wmZtMXUMIQgAAACog/z3B8pMZypcdVkagrKzs2Wz2cr9tGvXzsqSAAAAgDrBPxLUmZ3hqi3S6gI6dOigzz77LPA4MtLykgAAAICgdsTj1ZpdhZLYGe5UWJ44IiMj1aRJE6vLAAAAAOqM1Ttd8voMNYx3KCUxxupy6hzLQ9D69euVmpqqmJgYnX/++ZoyZYqaNWtW6blut1tutzvw2OVySZI8Ho88Hk+t1Hs8/utbXUeoor/mo8fmor/mor/mor/mor/mCtX+/rBlvyQps6lTpaWlltURTP2tTg02wzAME2s5oYULF6qoqEht27ZVfn6+Jk2apB07dmjVqlVKSEiocH52drYmTZpU4fisWbMUFxdXGyUDAAAAlntjfYS+3xehS9O96p9m2a/zQaW4uFjXXXedCgoK5HQ6T3iupSHo9w4ePKjmzZvrqaee0o033ljh+cpGgtLT07Vv376TflCzeTwe5eTkqG/fvoqKirK0llBEf81Hj81Ff81Ff81Ff81Ff80Vqv3tO/VLbd5frNdu6KqerRtaVkcw9dflcqlhw4ZVCkGWT4c7VlJSktq0aaMNGzZU+rzD4ZDD4ahwPCoqyvKm+wVTLaGI/pqPHpuL/pqL/pqL/pqL/porlPp7sLhEm/cXS5K6ZjQIis8VDP2tzvWD6j5BRUVF2rhxo1JSUqwuBQAAAAhKK47eHyijQZyS4qItrqZusjQE3XPPPVqyZIk2b96sr7/+WldeeaXsdruuvfZaK8sCAAAAgpb//kCZ3B/olFk6HW779u269tprtX//fiUnJ6tHjx769ttvlZycbGVZAAAAQNDKOzoSxP2BTp2lIWj27NlWXh4AAACoUwzDUO7RkaDO6YnWFlOHBdWaIAAAAADHl19wRPuK3LJH2NQ+hRB0qghBAAAAQB2xYvtBSVLbxgmKjbZbW0wdRggCAAAA6ojcbawHqgmEIAAAAKCOyGM9UI0gBAEAAAB1gM9naOWOspEgtsc+PYQgAAAAoA74ZV+Ritylio2yq3WjeKvLqdMIQQAAAEAd4F8P1KlpoiLt/Bp/OugeAAAAUAf4d4bLTGM90OkiBAEAAAB1gH9TBHaGO32EIAAAACDIuUu9+infJUnqTAg6bYQgAAAAIMityS+Ux2vojLgopZ0Ra3U5dR4hCAAAAAhyeUfXA2WlJ8lms1lbTAggBAEAAABBLte/Hoj7A9UIQhAAAAAQ5FZsL9seOyudneFqAiEIAAAACGKuIx5t3FskScpkJKhGEIIAAACAILZqe4EMQ0o7I1YN4x1WlxMSCEEAAABAEMvzT4VjFKjGEIIAAACAIPbbTVJZD1RTCEEAAABAEAtsj81IUI0hBAEAAABBao/riPILjijCJnVsykhQTSEEAQAAAEHKvx6odaME1XNEWlxN6CAEAQAAAEGK9UDmIAQBAAAAQSqwHig9ydI6Qg0hCAAAAAhChmH8NhLEpgg1ihAEAAAABKHN+4vlOlKq6MgItW2SYHU5IYUQBAAAAAQh/yhQx1Snouz82l6T6CYAAAAQhPzrgTKZClfjTikElZaW6rPPPtOLL76owsJCSdLOnTtVVFRUo8UBAAAA4co/EtSZTRFqXLU3G9+yZYsGDBigrVu3yu12q2/fvkpISNBjjz0mt9utF154wYw6AQAAgLDh8fq0eqdLEjvDmaHaI0Hjx4/XOeecowMHDig2NjZw/Morr9SiRYtqtDgAAAAgHK3dVSh3qU/OmEhlNIizupyQU+2RoP/85z/6+uuvFR0dXe54RkaGduzYUWOFAQAAAOHq2PsD2Ww2a4sJQdUeCfL5fPJ6vRWOb9++XQkJbN0HAAAAnC7uD2Suaoegfv36aerUqYHHNptNRUVFeuihh3TppZfWZG0AAABAWFqxvUCSlJmWaHEloana0+GefPJJ9e/fX+3bt9eRI0d03XXXaf369WrYsKH++c9/mlEjAAAAEDYOuUu1bnfZDszsDGeOaoegtLQ05eXlafbs2VqxYoWKiop04403asSIEeU2SgAAAABQfat2FMhnSCmJMWrkjLG6nJBU7RAkSZGRkbr++utruhYAAAAg7DEVznzVDkFvvPHGCZ+/4YYbTrkYAAAAINzlHrMzHMxR7RA0fvz4co89Ho+Ki4sVHR2tuLg4QhAAAABwGvw7w3VmZzjTVHt3uAMHDpT7KSoq0tq1a9WjRw82RgAAAABOw/4it7YfOCxJ6sh0ONNUOwRVpnXr1nr00UcrjBIBAAAAqDr/eqBWyfXkjImyuJrQVSMhSCrbLGHnzp019XYAAABA2Mn13ySV9UCmqvaaoAULFpR7bBiG8vPz9dxzz6l79+6nXMijjz6qBx98UOPHjy93M1YAAAAgXKzwb4rAeiBTVTsEDRkypNxjm82m5ORk9e7dW08++eQpFbFs2TK9+OKLyszMPKXXAwAAAHWdYRjKOzodjpEgc1U7BPl8vhotoKioSCNGjNDLL7+shx9+uEbfGwAAAKgrth84rF8PlSjKbtNZKQlWlxPSTulmqTVp7NixGjRokC655JKThiC32y232x147HK5JJVt0+3xeEyt82T817e6jlBFf81Hj81Ff81Ff81Ff81Ff81Vl/r7/eb9kqSzmiQowvDJ46nZwQczBFN/q1ODzTAM42QnTZgwocpv+NRTT1X53NmzZ2vy5MlatmyZYmJi1KtXL3Xu3Pm4a4Kys7M1adKkCsdnzZqluLi4Kl8XAAAACDbvbY7QF/kR6tHYp6Etgz8ABZvi4mJdd911KigokNPpPOG5VRoJ+vHHH6t0YZvNVqXzJGnbtm0aP368cnJyFBMTU6XXPPjgg+UCmcvlUnp6uvr163fSD2o2j8ejnJwc9e3bV1FRbGdY0+iv+eixueivueivueivueivuepSf9985TtJB3VZ9066tEtTq8upkmDqr3+WWFVUKQR98cUXp1zM8Xz//ffas2ePunbtGjjm9Xq1dOlSPffcc3K73bLb7eVe43A45HA4KrxXVFSU5U33C6ZaQhH9NR89Nhf9NRf9NRf9NRf9NVew97fU69PqnYWSpLMzGgR1rZUJhv5W5/qWrQnq06ePVq5cWe7Y6NGj1a5dO91///0VAhAAAAAQqjbsLdJhj1fxjki1bBhvdTkh75RC0PLlyzV37lxt3bpVJSUl5Z579913q/QeCQkJ6tixY7lj9erVU4MGDSocBwAAAEJZ3tGbpHZqmqiIiKovMcGpiajuC2bPnq0LLrhAP//8s+bPny+Px6PVq1fr888/V2Jiohk1AgAAACEtdxv3B6pN1R4JeuSRR/T0009r7NixSkhI0DPPPKMWLVrolltuUUpKymkVs3jx4tN6PQAAAFAXrdh+UJKUlcagQm2o9kjQxo0bNWjQIElSdHS0Dh06JJvNprvvvlsvvfRSjRcIAAAAhLIjHq/W7CrbFIGRoNpR7RB0xhlnqLCw7Etq2rSpVq1aJUk6ePCgiouLa7Y6AAAAIMSt3lkgr89QcoJDKYlVu3UMTk+VQ5A/7Fx44YXKycmRJA0dOlTjx4/XzTffrGuvvVZ9+vQxp0oAAAAgROX51wOlJVbrvps4dVVeE5SZmalzzz1XQ4YM0dChQyVJf/nLXxQVFaWvv/5aV111lf7617+aVigAAAAQivIC64GSLK0jnFQ5BC1ZskQzZszQlClTNHnyZF111VW66aab9MADD5hZHwAAABDS/Ntjsx6o9lR5OlzPnj312muvKT8/X9OmTdPmzZt10UUXqU2bNnrssce0a9cuM+sEAAAAQs7B4hJt3l+2rj6TneFqTbU3RqhXr55Gjx6tJUuWaN26dRo6dKief/55NWvWTJdffrkZNQIAAAAhacX2svVAGQ3ilBQXbXE14aPaIehYZ555pv785z/rr3/9qxISEvThhx/WVF0AAABAyGMqnDWqfbNUv6VLl+q1117Tv/71L0VERGjYsGG68cYba7I2AAAAIKTlHR0JymRThFpVrRC0c+dOzZw5UzNnztSGDRt0wQUX6Nlnn9WwYcNUr149s2oEAAAAQo5hGMo9OhLUOZ31QLWpyiFo4MCB+uyzz9SwYUPdcMMNGjNmjNq2bWtmbQAAAEDIyi84on1FbtkjbOqQSgiqTVUOQVFRUZo3b54GDx4su91uZk0AAABAyFtx9P5AbRsnKCaK369rU5VD0IIFC8ysAwAAAAgrudvK1gOxKULtO63d4QAAAACcmjzWA1mGEAQAAADUMp/P0ModjARZhRAEAAAA1LJf9hWpyF2q2Ci7zkyOt7qcsEMIAgAAAGqZfz1Qp6aJirTzK3lto+MAAABALfOvB8piPZAlCEEAAABALfNvj52ZlmRpHeGKEAQAAADUInepVz/luyRJndkUwRKEIAAAAKAW/ZxfKI/XUP160Uo7I9bqcsISIQgAAACoRb9NhUuUzWaztpgwRQgCAAAAalGuf1ME1gNZhhAEAAAA1CL/znCsB7IOIQgAAACoJa4jHv2y75CksulwsAYhCAAAAKglq7YXyDCktDNi1SDeYXU5YYsQBAAAANSS3KObImQxFc5ShCAAAACglqzYViBJymIqnKUIQQAAAEAtyfOPBLEznKUIQQAAAEAt2OM6ovyCI4qwSR2bMhJkJUIQAAAAUAvytpdNhWvdKEH1HJEWVxPeCEEAAABALfDfHygrnVEgqxGCAAAAgFqQx85wQYMQBAAAAJjMMIzfRoLYFMFyhCAAAADAZJv3F8t1pFTRkRFq2yTB6nLCHiEIAAAAMJl/FKhjqlNRdn4FtxrfAAAAAGAy1gMFF0IQAAAAYDLWAwUXQhAAAABgIo/Xp9U7XZIYCQoWhCAAAADARGt3Fcpd6pMzJlIZDeKsLgciBAEAAACmOnY9kM1ms7YYSLI4BE2fPl2ZmZlyOp1yOp06//zztXDhQitLAgAAAGoU64GCj6UhKC0tTY8++qi+//57LV++XL1799YVV1yh1atXW1kWAAAAUGPythVIYj1QMIm08uKXXXZZuceTJ0/W9OnT9e2336pDhw4WVQUAAADUjEPuUq3fUyhJykpLtLga+Fkago7l9Xr1zjvv6NChQzr//PMrPcftdsvtdgceu1xlu2x4PB55PJ5aqfN4/Ne3uo5QRX/NR4/NRX/NRX/NRX/NRX/NZXV/c7f+Kp8hNXE6dEasPeS+Z6v7e6zq1GAzDMMwsZaTWrlypc4//3wdOXJE8fHxmjVrli699NJKz83OztakSZMqHJ81a5bi4thpAwAAAMHl8502vb/Frsz6Pt3Y1md1OSGtuLhY1113nQoKCuR0Ok94ruUhqKSkRFu3blVBQYHmzZunV155RUuWLFH79u0rnFvZSFB6err27dt30g9qNo/Ho5ycHPXt21dRUVGW1hKK6K/56LG56K+56K+56K+56K+5rO7v+Dl5+mjVbt3Tt7VuubBFrV/fbFb391gul0sNGzasUgiyfDpcdHS0zjzzTEnS2WefrWXLlumZZ57Riy++WOFch8Mhh8NR4XhUVJTlTfcLplpCEf01Hz02F/01F/01F/01F/01l1X9XbGjbPlG1+b1Q/r7DYa/v9W5ftDdJ8jn85Ub7QEAAADqov1Fbm0/cFg2m9SRTRGCiqUjQQ8++KAGDhyoZs2aqbCwULNmzdLixYv1ySefWFkWAAAAcNpWbC/bGrtlw3pyxoTuKFBdZGkI2rNnj2644Qbl5+crMTFRmZmZ+uSTT9S3b18rywIAAABOW67/JqncHyjoWBqCXn31VSsvDwAAAJgmb/tBSVJnQlDQCbo1QQAAAEBdZxhGYDpcZlqStcWgAkIQAAAAUMO2HzisXw+VKMpu01kpCVaXg98hBAEAAAA1zL8eqH2KU45Iu7XFoAJCEAAAAFDDVhxdD8RUuOBECAIAAABqWN62svVA7AwXnAhBAAAAQA0q9fq0ckdZCOqczk1SgxEhCAAAAKhBG/YW6bDHq3hHpFo2jLe6HFSCEAQAAADUoLyjmyJ0apqoiAibtcWgUoQgAAAAoAblsh4o6BGCAAAAgBrk3xmO9UDBixAEAAAA1JAjHq/W7CqUxPbYwYwQBAAAANSQ1TsL5PUZSk5wKCUxxupycByEIAAAAKCGBO4PlJYkm41NEYIVIQgAAACoIXlH1wNlpbEeKJgRggAAAIAa4t8em53hghshCAAAAKgBB4tLtHl/sSQpk5GgoEYIAgAAAGrAiu1l64EyGsQpKS7a4mpwIoQgAAAAoAYwFa7uIAQBAAAANeC3TRGSLK0DJ0cIAgAAAE6TYRjK9W+Pnc56oGBHCAIAAABOU37BEe0rcsseYVOHVEJQsCMEAQAAAKfJvx6oXZMExUTZrS0GJ0UIAgAAAE5T3tGd4TJZD1QnEIIAAACA0+QfCerMeqA6gRAEAAAAnAafz9DKHf5NEZKsLQZVQggCAAAATsMv+4pU5C5VbJRdZybHW10OqoAQBAAAAJwG/9bYnZomKtLOr9d1Ad8SAAAAcBr864G4P1DdQQgCAAAATsOK7QclsR6oLiEEAQAAAKfIXerVT/kuSVIW22PXGYQgAAAA4BT9nF8oj9dQ/XrRSjsj1upyUEWEIAAAAOAUBabCpSXKZrNZWwyqjBAEAAAAnKLco5siZDIVrk4hBAEAAACnyL8zXGc2RahTCEEAAADAKXAd8eiXfYckSZlpbI9dlxCCAAAAgFOwanuBDENKOyNWDeIdVpeDaiAEAQAAAKcgl/sD1VmEIAAAAOAUBNYDsSlCnUMIAgAAAE7Biu0FklgPVBcRggAAAIBq2u06ovyCI4qwSR2bEoLqGkIQAAAAUE3+qXBtGieoniPS2mJQbYQgAAAAoJqYCle3WRqCpkyZonPPPVcJCQlq1KiRhgwZorVr11pZEgAAAHBSeewMV6dZGoKWLFmisWPH6ttvv1VOTo48Ho/69eunQ4cOWVkWAAAAcFyGYQSmw2WxM1ydZOkExo8//rjc45kzZ6pRo0b6/vvvdeGFF1Y43+12y+12Bx67XC5JksfjkcfjMbfYk/Bf3+o6QhX9NR89Nhf9NRf9NRf9NRf9NZcZ/d28/5BcR0rliIxQywYxYf3dBdPf3+rUYDMMwzCxlmrZsGGDWrdurZUrV6pjx44Vns/OztakSZMqHJ81a5bi4uJqo0QAAACEueV7bXpzg10Z8Ybu7uS1uhwcVVxcrOuuu04FBQVyOp0nPDdoQpDP59Pll1+ugwcP6ssvv6z0nMpGgtLT07Vv376TflCzeTwe5eTkqG/fvoqKirK0llBEf81Hj81Ff81Ff81Ff81Ff81lRn//78M1euPbrRp5fjP99dJ2NfKedVUw/f11uVxq2LBhlUJQ0OznN3bsWK1ateq4AUiSHA6HHA5HheNRUVGWN90vmGoJRfTXfPTYXPTXXPTXXPTXXPTXXDXZ31U7y5ZkdGlWn+/sqGD4+1ud6wdFCBo3bpw++OADLV26VGlpaVaXAwAAAFTK4/UFQhA7w9VdloYgwzB0xx13aP78+Vq8eLFatGhhZTkAAADACa3dVaiSUp+cMZHKaMCa9LrK0hA0duxYzZo1S++//74SEhK0a9cuSVJiYqJiY2OtLA0AAACo4Nj7A9lsNmuLwSmz9D5B06dPV0FBgXr16qWUlJTAz5w5c6wsCwAAAKgU9wcKDZZPhwMAAADqirxtBZJYD1TXWToSBAAAANQVh9ylWr+nUJKUlZZocTU4HYQgAAAAoApW7SiQz5BSEmPUyBljdTk4DYQgAAAAoAoCmyKwHqjOIwQBAAAAVZC3nfVAoYIQBAAAAFTBbzvDsR6oriMEAQAAACexv8it7QcOy2aTOhKC6jxCEAAAAHASK45OhWuVHC9nTJTF1eB0EYIAAACAk8g9OhUuk1GgkEAIAgAAAE7CvzNcZzZFCAmEIAAAAOAEDMM4ZlOEJEtrQc0gBAEAAAAnsP3AYR0o9ijKblO7lASry0ENIAQBAAAAJ+BfD9Q+xSlHpN3aYlAjCEEAAADACQSmwrEeKGQQggAAAIAT8G+Pncl6oJBBCAIAAACOo9Tr08odZSGoczrbY4cKQhAAAABwHOv3FOmwx6t4R6RaNoy3uhzUEEIQAAAAcBwrjt4fqFPTREVE2KwtBjWGEAQAAAAcR+62sqlwbIoQWghBAAAAwHH4d4ZjPVBoIQQBAAAAlTji8Wrt7kJJjASFGkIQAAAAUInVOwvk9RlKTnCoiTPG6nJQgwhBAAAAQCUC64HSkmSzsSlCKCEEAQAAAJXw7wzHeqDQQwgCAAAAKuHfFCEzLcnSOlDzCEEAAADA7xwsLtHm/cWSpMw0RoJCDSEIAAAA+J0V28vWA7VoWE9JcdEWV4OaRggCAAAAfue3qXCMAoUiQhAAAADwO3lHN0XIYj1QSCIEAQAAAMcwDOO37bG5SWpIIgQBAAAAx8gvOKJ9RW5FRtjUIdVpdTkwASEIAAAAOIZ/PVDbJgmKibJbWwxMQQgCAAAAjpG3nalwoY4QBAAAABzDPxKUxc5wIYsQBAAAABzl9RlauYORoFBHCAIAAACO+mVvkYrcpYqLtqt1owSry4FJCEEAAADAUf71QB1TE2WPsFlcDcxCCAIAAACOCqwHSmc9UCgjBAEAAABH5W0/KIn1QKGOEAQAAABIcpd69XO+S5KUlZZkbTEwFSEIAAAAkPRzfqE8XkP160Ur7YxYq8uBiQhBAAAAgMrfH8hmY1OEUGZpCFq6dKkuu+wypaamymaz6b333rOyHAAAAIQx1gOFD0tD0KFDh5SVlaXnn3/eyjIAAACAY0aCkiytA+aLtPLiAwcO1MCBA60sAQAAAJDriEcb9x6SJGWmsT12qLM0BFWX2+2W2+0OPHa5ynbv8Hg88ng8VpUVqOHYP1Gz6K/56LG56K+56K+56K+56K+5qtrf3C37JUlpZ8TK6Yjg+6iiYPr7W50abIZhGCbWUmU2m03z58/XkCFDjntOdna2Jk2aVOH4rFmzFBcXZ2J1AAAACGU5O2z6YKtdXRr4NKqNz+pycAqKi4t13XXXqaCgQE6n84Tn1qmRoAcffFATJkwIPHa5XEpPT1e/fv1O+kHN5vF4lJOTo759+yoqKsrSWkIR/TUfPTYX/TUX/TUX/TUX/TVXVfv7waxcSXvU/9x2urR7Rm2VV+cF099f/yyxqqhTIcjhcMjhcFQ4HhUVZXnT/YKpllBEf81Hj81Ff81Ff81Ff81Ff811sv6u2ln2C3TX5g34Hk5BMPz9rc71uU8QAAAAwtpu1xHlFxxRhE3q2NTa2UWoHZaOBBUVFWnDhg2Bx5s2bVJubq7q16+vZs2aWVgZAAAAwoV/a+w2jRMUF12nJkrhFFn6LS9fvlwXX3xx4LF/vc/IkSM1c+ZMi6oCAABAOFmxvUAS9wcKJ5aGoF69eilINqcDAABAmMrbflCSlJnO/YHCBWuCAAAAELYMwwhMh2MkKHwQggAAABC2Nu8vlutIqRyREWrbJMHqclBLCEEAAAAIW/5RoA6pTkXZ+dU4XPBNAwAAIGzl+qfCpSdZWgdqFyEIAAAAYWvF0U0ROhOCwgohCAAAAGHJ4/Vp1U6XJCmTTRHCCiEIAAAAYWntrkKVlPrkjIlURoM4q8tBLSIEAQAAICwdux7IZrNZWwxqFSEIAAAAYYn1QOGLEAQAAICwlLetQBLrgcIRIQgAAABh55C7VOv3FEqSstISLa4GtY0QBAAAgLCzakeBfIaUmhijRs4Yq8tBLSMEAQAAIOzkHV0PxFS48EQIAgAAQNjxrwfKYlOEsEQIAgAAQNjxjwRlpbMeKBwRggAAABBW9hW5tf3AYdlsUqemhKBwRAgCAABAWPHfH6hVcrwSYqKsLQaWIAQBAAAgrATWA7EpQtgiBAEAACCssB4IhCAAAACEDcMwlLftoCRGgsIZIQgAAABhY/uBwzpQ7FG0PULtUhKsLgcWIQQBAAAgbOQeHQU6KyVBjki7tcXAMoQgAAAAhI3AVDhukhrWCEEAAAAIGyu2szMcCEEAAAAIE6Ven1buOBqC2BkurBGCAAAAEBbW7ynSYY9X8Y5ItWwYb3U5sBAhCAAAAGFhxdH7A2WmJSoiwmZtMbAUIQgAAABhIXdb2VS4TNYDhT1CEAAAAMKCf2e4zqwHCnuEIAAAAIS8Ix6v1u4ulMT22CAEAQAAIAz8lF8or89QowSHmjhjrC4HFiMEAQAAIOTlbf9tPZDNxqYI4Y4QBAAAgJDnv0kq64EgEYIAAAAQBlbucEliPRDKEIIAAAAQ0g55pC2/FkuSMpsmWVsMggIhCAAAACFt66GyNUAtGtZTYlyUxdUgGBCCAAAAENK2FpX9mZXGeiCUIQQBAAAgpG0tKhsJykxLsrYQBA1CEAAAAEKWYRjacjQEsSkC/AhBAAAACFm7XG4VemyKjLCpQ6rT6nIQJAhBNcHnlW3Ll2r66zeybflS8nmtrii00F/z0WNz0V9z0V9z0V9z0V9z+bza/mOOLo/4WlfV36QYu9UFhZg6/PfXZhiGYXURzz//vJ544gnt2rVLWVlZmjZtms4777yTvs7lcikxMVEFBQVyOms/2T+ds05tfv1Cg3ZMlVw7f3vCmaoPm96ldfUv1t1929R6XaGC/pqPHpuL/pqL/pqL/pqL/pqL/taCnxZIH99fob8a8JjU/nJLSqpONrB8JGjOnDmaMGGCHnroIf3www/KyspS//79tWfPHqtLO6k2v36hgT/dJ+PYL1+S4dqpgT/dpza/fmFRZaGB/pqPHpuL/pqL/pqL/pqL/pqL/prspwXS3BvKByBJcuWXHf9pgTV1VYPlI0HdunXTueeeq+eee06S5PP5lJ6erjvuuEMPPPDACV9r6UiQzytN7SjDtVO2Sp42JHmik7S6a7Zkszxr1j2GTx1+yFZUyUH6axZ6bC76ay76ay76ay76a64q9NcWW18a9LQUQX+rzeeTPrxbOvzrcU6wlY0I3bVSiqjd+YfVyQaWhqCSkhLFxcVp3rx5GjJkSOD4yJEjdfDgQb3//vvlzne73XK73YHHLpdL6enp2rdvX62HINuWLxX51pBavSYAAABQF5Re/56M5j1q9Zoul0sNGzasUgiKrKWaKrVv3z55vV41bty43PHGjRtrzZo1Fc6fMmWKJk2aVOH4p59+qri4ONPqrEzTX7/ROVU4b6tSdNDGTiTVlWS41Ez5Jz1vq5qogP6ekkTDpWbaddLz6PGpqXp/+XfEqaj6vyPo76mgv+aiv+aqan8LHU1UEkl/qyu61KUE98n//y33P59ox2pXLVT0m+Li4iqfa2kIqq4HH3xQEyZMCDz2jwT169fPgpEgp7Rl+knPS71+ulJqOQWHAtuWL6UqjLSlXv8C/T1F9NhcVe8v/444FfTXXPTXXPTXXFXtb+zQFxRDf6utqv3t3LO/siwYCaoqS0NQw4YNZbfbtXv37nLHd+/erSZNmlQ43+FwyOFwVDgeFRWlqKgo0+qsVMsLJWfqCdcE2ZxNFdnywlqfDxkS6K/56LG56K+56K+56K+56K+56K+5jvZXrnyVdfP3ytYEWdHf6uQBS1eDRUdH6+yzz9aiRYsCx3w+nxYtWqTzzz/fwsqqIMKuD5veJcOo+PUbkgxD+rDpeP7Hdaror/nosbnor7nor7nor7nor7nor7ki7GXbYEtShZh59PGAR4O+v5ZviTFhwgS9/PLLev311/Xzzz/rtttu06FDhzR69GirSzupdfUv1sL2j8vmTC133OZsqoXtH9e6+hdbVFlooL/mo8fmor/mor/mor/mor/mor8ma3+5NOwNyZlS/rgztey4RfcJqg7Lt8iWpOeeey5ws9TOnTvr2WefVbdu3U76Oqtvlhrg86r0l6XK/c8n6tyzP8OrNY3+mo8em4v+mov+mov+mov+mov+mivI+lunbpYqSePGjdOWLVvkdrv13//+t0oBKKhE2GU076Ed9c8v2wqQ/3HVLPprPnpsLvprLvprLvprLvprLvprrjrc36AIQQAAAABQWwhBAAAAAMIKIQgAAABAWCEEAQAAAAgrhCAAAAAAYYUQBAAAACCsEIIAAAAAhBVCEAAAAICwQggCAAAAEFYIQQAAAADCCiEIAAAAQFghBAEAAAAIK4QgAAAAAGEl0uoCTodhGJIkl8tlcSWSx+NRcXGxXC6XoqKirC4n5NBf89Fjc9Ffc9Ffc9Ffc9Ffc9FfcwVTf/2ZwJ8RTqROh6DCwkJJUnp6usWVAAAAAAgGhYWFSkxMPOE5NqMqUSlI+Xw+7dy5UwkJCbLZbJbW4nK5lJ6erm3btsnpdFpaSyiiv+ajx+aiv+aiv+aiv+aiv+aiv+YKpv4ahqHCwkKlpqYqIuLEq37q9EhQRESE0tLSrC6jHKfTaflfgFBGf81Hj81Ff81Ff81Ff81Ff81Ff80VLP092QiQHxsjAAAAAAgrhCAAAAAAYYUQVEMcDoceeughORwOq0sJSfTXfPTYXPTXXPTXXPTXXPTXXPTXXHW1v3V6YwQAAAAAqC5GggAAAACEFUIQAAAAgLBCCAIAAAAQVghBAAAAAMIKIaiGPP/888rIyFBMTIy6deum7777zuqSQsbSpUt12WWXKTU1VTabTe+9957VJYWMKVOm6Nxzz1VCQoIaNWqkIUOGaO3atVaXFTKmT5+uzMzMwA3kzj//fC1cuNDqskLWo48+KpvNprvuusvqUkJCdna2bDZbuZ927dpZXVZI2bFjh66//no1aNBAsbGx6tSpk5YvX251WSEjIyOjwt9hm82msWPHWl1anef1evW3v/1NLVq0UGxsrFq1aqX/+7//U13ab40QVAPmzJmjCRMm6KGHHtIPP/ygrKws9e/fX3v27LG6tJBw6NAhZWVl6fnnn7e6lJCzZMkSjR07Vt9++61ycnLk8XjUr18/HTp0yOrSQkJaWpoeffRRff/991q+fLl69+6tK664QqtXr7a6tJCzbNkyvfjii8rMzLS6lJDSoUMH5efnB36+/PJLq0sKGQcOHFD37t0VFRWlhQsX6qefftKTTz6pM844w+rSQsayZcvK/f3NycmRJA0dOtTiyuq+xx57TNOnT9dzzz2nn3/+WY899pgef/xxTZs2zerSqowtsmtAt27ddO655+q5556TJPl8PqWnp+uOO+7QAw88YHF1ocVms2n+/PkaMmSI1aWEpL1796pRo0ZasmSJLrzwQqvLCUn169fXE088oRtvvNHqUkJGUVGRunbtqn/84x96+OGH1blzZ02dOtXqsuq87Oxsvffee8rNzbW6lJD0wAMP6KuvvtJ//vMfq0sJG3fddZc++OADrV+/Xjabzepy6rTBgwercePGevXVVwPHrrrqKsXGxuqtt96ysLKqYyToNJWUlOj777/XJZdcEjgWERGhSy65RN98842FlQHVV1BQIKnsF3XULK/Xq9mzZ+vQoUM6//zzrS4npIwdO1aDBg0q9+9h1Iz169crNTVVLVu21IgRI7R161arSwoZCxYs0DnnnKOhQ4eqUaNG6tKli15++WWrywpZJSUleuuttzRmzBgCUA244IILtGjRIq1bt06SlJeXpy+//FIDBw60uLKqi7S6gLpu37598nq9aty4cbnjjRs31po1ayyqCqg+n8+nu+66S927d1fHjh2tLidkrFy5Uueff76OHDmi+Ph4zZ8/X+3bt7e6rJAxe/Zs/fDDD1q2bJnVpYScbt26aebMmWrbtq3y8/M1adIk9ezZU6tWrVJCQoLV5dV5v/zyi6ZPn64JEyboz3/+s5YtW6Y777xT0dHRGjlypNXlhZz33ntPBw8e1KhRo6wuJSQ88MADcrlcateunex2u7xeryZPnqwRI0ZYXVqVEYIASCr7r+mrVq1izn8Na9u2rXJzc1VQUKB58+Zp5MiRWrJkCUGoBmzbtk3jx49XTk6OYmJirC4n5Bz7X3QzMzPVrVs3NW/eXHPnzmU6Zw3w+Xw655xz9Mgjj0iSunTpolWrVumFF14gBJng1Vdf1cCBA5Wammp1KSFh7ty5evvttzVr1ix16NBBubm5uuuuu5Samlpn/v4Sgk5Tw4YNZbfbtXv37nLHd+/erSZNmlhUFVA948aN0wcffKClS5cqLS3N6nJCSnR0tM4880xJ0tlnn61ly5bpmWee0YsvvmhxZXXf999/rz179qhr166BY16vV0uXLtVzzz0nt9stu91uYYWhJSkpSW3atNGGDRusLiUkpKSkVPiPIWeddZb+9a9/WVRR6NqyZYs+++wzvfvuu1aXEjLuvfdePfDAAxo+fLgkqVOnTtqyZYumTJlSZ0IQa4JOU3R0tM4++2wtWrQocMzn82nRokXM+0fQMwxD48aN0/z58/X555+rRYsWVpcU8nw+n9xut9VlhIQ+ffpo5cqVys3NDfycc845GjFihHJzcwlANayoqEgbN25USkqK1aWEhO7du1e4JcG6devUvHlziyoKXTNmzFCjRo00aNAgq0sJGcXFxYqIKB8j7Ha7fD6fRRVVHyNBNWDChAkaOXKkzjnnHJ133nmaOnWqDh06pNGjR1tdWkgoKioq918eN23apNzcXNWvX1/NmjWzsLK6b+zYsZo1a5bef/99JSQkaNeuXZKkxMRExcbGWlxd3ffggw9q4MCBatasmQoLCzVr1iwtXrxYn3zyidWlhYSEhIQK69fq1aunBg0asK6tBtxzzz267LLL1Lx5c+3cuVMPPfSQ7Ha7rr32WqtLCwl33323LrjgAj3yyCMaNmyYvvvuO7300kt66aWXrC4tpPh8Ps2YMUMjR45UZCS/9taUyy67TJMnT1azZs3UoUMH/fjjj3rqqac0ZswYq0urOgM1Ytq0aUazZs2M6Oho47zzzjO+/fZbq0sKGV988YUhqcLPyJEjrS6tzqusr5KMGTNmWF1aSBgzZozRvHlzIzo62khOTjb69OljfPrpp1aXFdIuuugiY/z48VaXERKuueYaIyUlxYiOjjaaNm1qXHPNNcaGDRusLiuk/Pvf/zY6duxoOBwOo127dsZLL71kdUkh55NPPjEkGWvXrrW6lJDicrmM8ePHG82aNTNiYmKMli1bGn/5y18Mt9ttdWlVxn2CAAAAAIQV1gQBAAAACCuEIAAAAABhhRAEAAAAIKwQggAAAACEFUIQAAAAgLBCCAIAAAAQVghBAAAAAMIKIQgAAABAWCEEAQAAAAgrhCAAQFAYNWqUbDabbDaboqKi1LhxY/Xt21evvfaafD5fld9n5syZSkpKMq9QAECdRwgCAASNAQMGKD8/X5s3b9bChQt18cUXa/z48Ro8eLBKS0utLg8AECIIQQCAoOFwONSkSRM1bdpUXbt21Z///Ge9//77WrhwoWbOnClJeuqpp9SpUyfVq1dP6enpuv3221VUVCRJWrx4sUaPHq2CgoLAqFJ2drYkye1265577lHTpk1Vr149devWTYsXL7bmgwIALEUIAgAEtd69eysrK0vvvvuuJCkiIkLPPvusVq9erddff12ff/657rvvPknSBRdcoKlTp8rpdCo/P1/5+fm65557JEnjxo3TN998o9mzZ2vFihUaOnSoBgwYoPXr11v22QAA1rAZhmFYXQQAAKNGjdLBgwf13nvvVXhu+PDhWrFihX766acKz82bN0+33nqr9u3bJ6lsTdBdd92lgwcPBs7ZunWrWrZsqa1btyo1NTVw/JJLLtF5552nRx55pMY/DwAgeEVaXQAAACdjGIZsNpsk6bPPPtOUKVO0Zs0auVwulZaW6siRIyouLlZcXFylr1+5cqW8Xq/atGlT7rjb7VaDBg1Mrx8AEFwIQQCAoPfzzz+rRYsW2rx5swYPHqzbbrtNkydPVv369fXll1/qxhtvVElJyXFDUFFRkex2u77//nvZ7fZyz8XHx9fGRwAABBFCEAAgqH3++edauXKl7r77bn3//ffy+Xx68sknFRFRtqx17ty55c6Pjo6W1+std6xLly7yer3as2ePevbsWWu1AwCCEyEIABA03G63du3aJa/Xq927d+vjjz/WlClTNHjwYN1www1atWqVPB6Ppk2bpssuu0xfffWVXnjhhXLvkZGRoaKiIi1atEhZWVmKi4tTmzZtNGLECN1www168skn1aVLF+3du1eLFi1SZmamBg0aZNEnBgBYgd3hAABB4+OPP1ZKSooyMjI0YMAAffHFF3r22Wf1/vvvy263KysrS0899ZQee+wxdezYUW+//bamTJlS7j0uuOAC3XrrrbrmmmuUnJysxx9/XJI0Y8YM3XDDDfrf//1ftW3bVkOGDNGyZcvUrFkzKz4qAMBC7A4HAAAAIKwwEgQAAAAgrBCCAAAAAIQVQhAAAACAsEIIAgAAABBWCEEAAAAAwgohCAAAAEBYIQQBAAAACCuEIAAAAABhhRAEAAAAIKwQggAAAACEFUIQAAAAgLDy/wHRl8mXZQFc6AAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n",
"1\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n",
"2\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n",
"3\n"
]
},
{
"data": {
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buXNnDRgwQL169VKDBg20Zs0a73bvHr169ZIk3XXXXRo6dKjsdruuueYa738gHDRokBITE7Vz50698MIL6t69uzp16nRa/QQAn2TtAJf19LspeYsWLTIkGVFRUWUewcHB3mkXY8eONSQZmzdv9r7v+++/NyQxTQ9Arbn44ouN8PBw4+jRo5WeM3r0aCMkJMQ4ePCgYRiGcejQIWP8+PFG8+bNjdDQUCMxMdEYNWqU93XDMIxPPvnE6Ny5sxEcHFxuet6sWbOM5s2bG2FhYca5555rrFmzpty24m6323j88ceNli1bGmFhYUaPHj2MRYsWGaNGjTrplLyioiLj3nvvNVJTUw2Hw2FERUUZqampxt///vcq9yQtLc2QZNhsNiMjI6PMawcPHjTGjRtndOzY0YiKijJiY2ON3r17G++//36Z80aNGlVma/DKnGpKnscPP/xgDB061IiOjjYiIyONgQMHGt98802ZcyqbknfiZw0dOtSIjY01wsPDjTZt2hijR4821qxZU+a89evXG5dffrkRFxdnhIeHGx06dDAefvhh7+tHjhwxxowZYzRq1MiIjo42hg4damzatKnclvGPPvqocfbZZxtxcXFGRESE0bFjR+Oxxx4ziouLveeUlJQYd955pxEfH2/YbDbv9LwPPvjAGDJkiNG4cWMjNDTUaNGihXHrrbcaWVlZJ+0TAPgrm2H8buy+nrHZbProo4902WWXSSrdden666/Xhg0bymz9KpVOWWjatKmmTZtWbvrEsWPHFBkZqcWLF2vw4MF1+RUAAAAAmIQpeb/To0cPuVwu7d+/X/369avwnHPPPVclJSXavn27d6rKli1bJEktW7ass1oBAAAAmKtejjDl5+dr27ZtkkoD0uzZszVw4EA1aNBALVq00A033KCVK1dq1qxZ6tGjhw4cOKAlS5YoJSVFI0aMkNvt1llnnaXo6Gg999xzcrvdGjdunGJiYrR48WKLvx0AAACA2lIvA9Py5cs1cODAcsdHjRqlefPmyel06tFHH9Xbb7+tPXv2qFGjRvrDH/6gGTNmqFu3bpKkzMxM3XnnnVq8eLGioqI0fPhwzZo1Sw0aNKjrrwMAAADAJPUyMAEAAABAVXAfJgAAAACoBIEJAAAAACpRr3bJc7vdyszMlMPhkM1ms7ocAAAAABYxDEN5eXlq1qyZgoIqH0eqV4EpMzNTSUlJVpcBAAAAwEdkZGQoMTGx0tfrVWByOBySSpsSExNjaS1Op1OLFy/WkCFDFBISYmktgYj+mov+mov+mov+mov+mov+mov+ms+Xepybm6ukpCRvRqhMvQpMnml4MTExPhGYIiMjFRMTY/kvSyCiv+aiv+aiv+aiv+aiv+aiv+aiv+bzxR6faqkOmz4AAAAAQCUITAAAAABQCQITAAAAAFSCwAQAAAAAlSAwAQAAAEAlCEwAAAAAUAkCEwAAAABUgsAEAAAAAJUgMAEAAABAJQhMAAAAAFAJAhMAAAAAVILABAAAAACVIDABAAAAQCUITFZwu2Tb+bWaH14l286vJbfL6ooCC/01F/01F/01F/01F/01F/01F/01n5/22GYYhmF1EXUlNzdXsbGxysnJUUxMTJ1//rNpW9T+8DKN2POclJv52wsxzfRp84na0mCgJg1uX+d1BQr6ay76ay76ay76ay76ay76ay76W0d+Xih9cX+5HmvYTKnzJZaUVNVswAhTHWp/eJmG/3yfjBN/USQZuZka/vN9an94mUWVBQb6ay76ay76ay76ay76ay76ay76Wwd+Xii9f2PZsCRJuVmlx39eaE1dVcQIU11xu6TnusrIzZStgpcNSc7QOG3oOV2ykWOrzXCryw/TFVKcTX/NQH/NRX/NRX/NRX/NRX/NVYX+2iIaSCOelYLob4243dKnk6Rjhys5wVY60jTxJynIXqelVTUbEJjqyq//ld66qG4/EwAAAPAHoxZJrfrV6UdWNRsE12FN9Vv+viqdtsfeXLlBsSYXE3hi3Dlq7tpzyvPob83QX3PRX3PRX3PRX3PRX3NVtb9q0FaKamR+QYHo6EHp8LZTn1fFv5Wt4HeB6cUXX9TTTz+tvXv3KjU1VS+88ILOPvtsq8s6tegmVTqt+Q0vq3kdp+uAUMURPPpbQ/TXXPTXXPTXXPTXXPTXXFWdAXTxc3U++hEwqtrjKv6tbAW/moz53nvvafLkyZo2bZp++OEHpaamaujQodq/f7/VpZ1ayz5STDNVNv/RkKSY5qXnofror7nor7nor7nor7nor7nor7nor/mO91gVrhJT6XEf77FfBabZs2dr7NixGjNmjDp37qyXXnpJkZGReuONN6wu7dSC7Pq0+UQZhsr9S2lIMgzp0+YT6nyxW8Cgv+aiv+aiv+aiv+aiv+aiv+aiv+YLspduHS6pfGg6/nzYkz7dY7+ZkldcXKzvv/9eDzzwgPdYUFCQLrjgAq1atarC9xQVFamoqMj7PDc3V5LkdDrldDrNLbgCm+L6y93xSV2U+byUd+Ie9M31acKd2hLXX0MsqCtQ0F9z0V9z0V9z0V9z0V9z0V9zVdbf3JDG+qr1ZPpbG9oNl+2Pb8q++C+yndBjI6aZXIMfk9FuuGRBj6uaB/xml7zMzEw1b95c33zzjc455xzv8fvuu08rVqzQ//73v3LvmT59umbMmFHu+LvvvqvIyEhT6z0pw62G+ZsV7sxWYUicDkV3YCvQ2kR/zUV/zUV/zUV/zUV/zUV/zXW8v7sP5ejjfQ10KLKDxnfziz+T/YeP/Q4XFBTouuuuq9+75D3wwAOaPHmy93lubq6SkpI0ZMiQut9W/HeczqFKS0vT4MGDFRISYmktgYj+mov+mov+mov+mov+mov+msvpHKoNn6Tp26xgRRQFacjQQQq2E0prky/9Dntmn52K3wSmRo0ayW63a9++slsO7tu3T02bNq3wPWFhYQoLCyt3PCQkxPIfkIcv1RKI6K+56K+56K+56K+56K+56K95GkdIUWF2HS1yaWd2kTo2tfY/sgcqX/gdrurn+01kDg0NVa9evbRkyRLvMbfbrSVLlpSZogcAAADUVJBN6tasNCSty8ixuBr4Ar8JTJI0efJkvfrqq3rrrbe0ceNG3X777Tp69KjGjBljdWkAAAAIEN2al94EOH13trWFwCf4zZQ8Sbr66qt14MABTZ06VXv37lX37t31xRdfqEkT373RFQAAAPxLSmJpYFqbkW1tIfAJfhWYJGn8+PEaP3681WUAAAAgQKUeD0yb9+ap0OlSeIjv3iMI5vOrKXkAAACA2ZrGhKlRdJhK3IY2ZFZtJzUELgITAAAAcAKbzabuSUzLQykCEwAAAPA7qYlxkqR1bPxQ7xGYAAAAgN9JSYqTJK3dzdbi9R2BCQAAAPgdz8YPvx48quyCYourgZUITAAAAMDvxEWGKrlhpCRpHaNM9RqBCQAAAKhACuuYIAITAAAAUKHU4+uY0jMYYarPCEwAAABABbxbi+/OlmEYFlcDqxCYAAAAgAp0ToiVPcimA3lF2ptbaHU5sAiBCQAAAKhARKhdHZo4JHED2/qMwAQAAABUgnVMIDABAAAAlfDcj4md8uovAhMAAABQCc8I07rdOXK72fihPiIwAQAAAJVo1zhaESF25ReV6JeD+VaXAwsQmAAAAIBKBNuD1LV5jCRpLeuY6iUCEwAAAHASqYlxkkrvx4T6h8AEAAAAnIRnHRNbi9dPBCYAAADgJDwjTBuz8lRU4rK2GNQ5AhMAAABwEkkNInRGZIiKXW5tysqzuhzUMQITAAAAcBI2m+23aXmsY6p3CEwAAADAKXg3fmCnvHqHwAQAAACcQmpSrCRGmOojAhMAAABwCinHR5i2H8hXXqHT2mJQpwhMAAAAwCk0ig5T4hkRMgzppz1My6tPCEwAAABAFbCOqX4iMAEAAABV4F3HxA1s6xUCEwAAAFAF3hEmNn6oVwhMAAAAQBV0bR6rIJuUlVOo/bmFVpeDOkJgAgAAAKogKixY7Ro7JElrd7OOqb4gMAEAAABVxDqm+ofABAAAAFRRCuuY6h0CEwAAAFBF3ZPiJJWOMBmGYW0xqBMEJgAAAKCKOjR1KDQ4SLmFJdpxqMDqclAHCEwAAABAFYXYg9SlWYwkaR3T8uoFAhMAAABQDZ77MaWz8UO9QGACAAAAquHEdUwIfAQmAAAAoBpSEku3Ft+QmSuny21xNTAbgQkAAACohuSGUYoJD1ZRiVub9+ZZXQ5MRmACAAAAqiEoyKZUz7Q8Nn4IeAQmAAAAoJo80/LWZeRYXAnMRmACAAAAqsmzUx4jTIGPwAQAAABUk2envC378lRQXGJtMTAVgQkAAACopsYx4WoaEy63Ia3fk2t1OTARgQkAAACogdSk0nVM3I8psBGYAAAAgBrw7JSXzjqmgEZgAgAAAGqg+/GNH9YRmAIagQkAAACoga7HtxbPOHxMh/KLLK4GZiEwAQAAADUQEx6iNvFRkqR1u7kfU6AiMAEAAAA15FnHxP2YAheBCQAAAKgh7w1s2SkvYBGYAAAAgBr6bYQpR4ZhWFsMTEFgAgAAAGqoU4JDIXabDh8t1u4jx6wuByYgMAEAAAA1FBZsV6eEGEmsYwpUBCYAAADgNLCOKbARmAAAAIDT4F3HlMHW4oGIwAQAAACchtTjN7D9aU+OSlxui6tBbSMwAQAAAKehdXy0osOCdczp0rYD+VaXg1pGYAIAAABOgz3Ipm7NS0eZWMcUePwmMD322GPq06ePIiMjFRcXZ3U5AAAAgFdK0vHAtJt1TIHGbwJTcXGxRo4cqdtvv93qUgAAAIAyurNTXsAKtrqAqpoxY4Ykad68eVV+T1FRkYqKirzPc3NzJUlOp1NOp7NW66suz+dbXUegor/mor/mor/mor/mor/mor/mOp3+dkmIliRt2punvIJChYfYa7W2QOFLv8NVrcFmGIZhci21at68eZo4caKys7NPee706dO9QetE7777riIjI02oDgAAAPWRYUgPf29XntOmiV1L1MphdUU4lYKCAl133XXKyclRTExMpef5zQhTTTzwwAOaPHmy93lubq6SkpI0ZMiQkzalLjidTqWlpWnw4MEKCQmxtJZARH/NRX/NRX/NRX/NRX/NRX/Ndbr9XXjkRy3dfEBRLbrownNamlCh//Ol32HP7LNTsTQwTZkyRTNnzjzpORs3blTHjh1rdP2wsDCFhYWVOx4SEmL5D8jDl2oJRPTXXPTXXPTXXPTXXPTXXPTXXDXtb48WZ2jp5gNan5nHz+cUfOF3uKqfb2lguvvuuzV69OiTntO6deu6KQYAAAA4DSlJcZKkdeyUF1AsDUzx8fGKj4+3sgQAAACgVqQmlm4t/uvBo8ouKFZcZKjFFaE2+M224rt27VJ6erp27doll8ul9PR0paenKz+fuykDAADAenGRoUpuWLqxGKNMgcNvNn2YOnWq3nrrLe/zHj16SJKWLVumAQMGWFQVAAAA8JvUpDjtOFSgdbuz1b89M6kCgd+MMM2bN0+GYZR7EJYAAADgK1KO38A2PYMRpkDhN4EJAAAA8HXdk0rXMa3dnS0/u90pKkFgAgAAAGpJl2axsgfZdCCvSHtzC60uB7WAwAQAAADUkvAQuzo0cUiS1mZkW1sMagWBCQAAAKhFqcfvx8Q6psBAYAIAAABqkXcdEyNMAYHABAAAANQiz055P+3JkdvNxg/+jsAEAAAA1KJ2jaMVEWJXflGJfjmYb3U5OE0EJgAAAKAWBduD1K156bQ81jH5PwITAAAAUMtSEksD07rd2dYWgtNGYAIAAABqmWenPDZ+8H8EJgAAAKCWdT8emH7OylVRicvaYnBaCEwAAABALUs8I0JnRIbI6TK0KSvP6nJwGghMAAAAQC2z2Wy/TctjHZNfIzABAAAAJkg9fj+mdNYx+TUCEwAAAGCC1CTPTnlsLe7PCEwAAACACVKOjzBtP5Cv3EKntcWgxghMAAAAgAkaRYcp8YwIGYa0nlEmv0VgAgAAAEziWce0lsDktwhMAAAAgEk865i4ga3/IjABAAAAJvlthCnb0jpQcwQmAAAAwCRdm8cqyCZl5RRqf26h1eWgBghMAAAAgEmiwoLVrrFDEuuY/BWBCQAAADAR65j8G4EJAAAAMFFqUpwk1jH5KwITAAAAYCLvxg8Z2TIMw9piUG0EJgAAAMBEHZo6FBocpNzCEu04VGB1OagmAhMAAABgohB7kLo2i5HEOiZ/RGACAAAATJbC/Zj8FoEJAAAAMFl3z8YPjDD5HQITAAAAYDLPTnkbMnPldLmtLQbVQmACAAAATJbcMFIx4cEqKnFr8948q8tBNRCYAAAAAJPZbDbux+SnCEwAAABAHTjxfkzwHwQmAAAAoA6kJMZKktbtzrG4ElQHgQkAAACoA56d8rbsy9PRohJri0GVEZgAAACAOtA4JlwJseFyG9L6PYwy+QsCEwAAAFBHmJbnfwhMAAAAQB3x7JSXzk55foPABAAAANSR7uyU53cITAAAAEAd6Xp8St7uI8d0KL/I4mpQFQQmAAAAoI7EhIeoTXyUJNYx+QsCEwAAAFCHvOuYmJbnFwhMAAAAQB1KPb6OaR0bP/gFAhMAAABQhzwjTGt358gwDGuLwSkRmAAAAIA61CnBoRC7TYePFmv3kWNWl4NTIDABAAAAdSgs2K5OCTGSpLVMy/N5BCYAAACgjqVyPya/QWACAAAA6ph3HVMGW4v7OgITAAAAUMe6J5XewPanPTkqcbktrgYnQ2ACAAAA6ljrRtGKDgvWMadL2w7kW10OToLABAAAANSxoCCbujUvHWViHZNvIzABAAAAFvCsY0pnHZNPIzABAAAAFkhNLB1hWsfW4j6NwAQAAABYwDPCtGlvngqdLmuLQaUITAAAAIAFEmLDFe8Ik8ttaEMm0/J8FYEJAAAAsIDNZvNOy+N+TL6LwAQAAABYJDUxTpK0lnVMPovABAAAAFjEs46JrcV9F4EJAAAAsEjK8Sl5Ow4VKLug2OJqUBG/CEw7duzQzTffrFatWikiIkJt2rTRtGnTVFzMLxUAAAD8V1xkqJIbRkqS1u1mHZMvCra6gKrYtGmT3G63Xn75ZbVt21br16/X2LFjdfToUT3zzDNWlwcAAADUWGpSnHYcKtDajGz1bx9vdTn4Hb8ITMOGDdOwYcO8z1u3bq3Nmzdr7ty5Jw1MRUVFKioq8j7Pzc2VJDmdTjmdTvMKrgLP51tdR6Civ+aiv+aiv+aiv+aiv+aiv+ayqr9dEhz6JF1KzzgS8D9bX/odrmoNNsMwDJNrMcVDDz2kL774QmvWrKn0nOnTp2vGjBnljr/77ruKjIw0szwAAACgSn7Nk55bHyxHiKG/9nLJZrO6ovqhoKBA1113nXJychQTE1PpeX4ZmLZt26ZevXrpmWee0dixYys9r6IRpqSkJB08ePCkTakLTqdTaWlpGjx4sEJCQiytJRDRX3PRX3PRX3PRX3PRX3PRX3NZ1d9Cp0vdH10ql9vQV/f0V0JseJ19dl3zpd/h3NxcNWrU6JSBydIpeVOmTNHMmTNPes7GjRvVsWNH7/M9e/Zo2LBhGjly5EnDkiSFhYUpLCys3PGQkBDLf0AevlRLIKK/5qK/5qK/5qK/5qK/5qK/5qrr/oaEhKhDE4d+zsrVz3vz1aKRo84+2yq+8Dtc1c+3NDDdfffdGj169EnPad26tfefMzMzNXDgQPXp00evvPKKydUBAAAAdSM1KU4/Z+UqPSNHw7omWF0OTmBpYIqPj1d8fNV2AtmzZ48GDhyoXr166c0331RQkF/siA4AAACcUvekWP3zO25g64v8Ype8PXv2aMCAAWrZsqWeeeYZHThwwPta06ZNLawMAAAAOH0piXGSpJ/25MjtNhQUxM4PvsIvAlNaWpq2bdumbdu2KTExscxrfrhnBQAAAFBGu8bRigixK7+oRL8czFfbxoG/jslf+MW8ttGjR8swjAofAAAAgL8LtgepW/NYSVJ6Ro7F1eBEfhGYAAAAgECXklgamFjH5FsITAAAAIAPSE2KkySt251taR0oi8AEAAAA+IDuxwPTz1m5KipxWVsMvAhMAAAAgA9IPCNCDaJC5XQZ2piVZ3U5OI7ABAAAAPgAm83mXcfEtDzfQWACAAAAfETq8fsxpbPxg88gMAEAAAA+wrOOiZ3yfAeBCQAAAPARnil5vxw8qtxCp8XVQCIwAQAAAD6jYXSYEs+IkGFI63dzA1tfQGACAAAAfIjnfkzpbPzgEwhMAAAAgA9J9eyUl8EIky8gMAEAAAA+xLNT3lpGmHwCgQkAAADwIV2bxyrIJmXlFGp/bqHV5dR7BCYAAADAh0SFBatdY4ckaS0bP1iOwAQAAAD4mNSk0nVM3I/JegQmAAAAwMd4dspjHZP1CEwAAACAj/Fu/JCRLcMwrC2mniMwAQAAAD6mQ1OHQoODlFtYoh2HCqwup14jMAEAAAA+JsQepK7NYiSxjslqBCYAAADAB6VwPyafQGACAAAAfFB3z8YPjDBZisAEAAAA+CDPTnnrM3PldLmtLaYeIzABAAAAPii5YaRiwoNVXOLW5r15VpdTbxGYAAAAAB9ks9m4H5MPIDABAAAAPurE+zHBGgQmAAAAwEelJMZKktZm5FhcSf1FYAIAAAB8lGenvK3783S0qMTaYuopAhMAAADgoxrHhCshNlxuQ1q/h1EmKxCYAAAAAB+Wyg1sLUVgAgAAAHxYStLxdUy7GWGyAoEJAAAA8GHd2SnPUgQmAAAAwId1TYyVzSbtPnJMh/KLrC6n3iEwAQAAAD4sJjxErRtFSZLWMS2vzhGYAAAAAB+Xenx78XSm5dU5AhMAAADg4zz3Y2KnvLpHYAIAAAB8XMrxjR/W7c6RYRjWFlPPEJgAAAAAH9cpwaEQu02HjxZr95FjVpdTrxCYAAAAAB8XFmxX54QYSaxjqmsEJgAAAMAP/DYtL9vSOuobAhMAAADgBzw75a3NYGvxukRgAgAAAPxA96RYSdJPe3JU4nJbXE39UaPAVFJSoi+//FIvv/yy8vLyJEmZmZnKz8+v1eIAAAAAlGrdKFrRYcE65nRp2wH+7q4rwdV9w86dOzVs2DDt2rVLRUVFGjx4sBwOh2bOnKmioiK99NJLZtQJAAAA1GtBQTZ1ax6rVb8c0tqMbHVsGmN1SfVCtUeYJkyYoDPPPFNHjhxRRESE9/jll1+uJUuW1GpxAAAAAH7jWceUzjqmOlPtEab//ve/+uabbxQaGlrmeHJysvbs2VNrhQEAAAAoKzWxdB3TWrYWrzPVHmFyu91yuVzlju/evVsOh6NWigIAAABQnmeEafO+PBU6y/9NjtpX7cA0ZMgQPffcc97nNptN+fn5mjZtmi688MLarA0AAADACRJiwxXvCJPLbWhDJtPy6kK1A9OsWbO0cuVKde7cWYWFhbruuuu80/FmzpxpRo0AAAAAVDpY4ZmWxzqmulHtNUyJiYlau3atFixYoHXr1ik/P18333yzrr/++jKbQAAAAACofamJcfpy436t251tdSn1QrUDkyQFBwfrhhtuqO1aAAAAAJyCZx0TGz/UjWoHprfffvukr9944401LgYAAADAyaUcn5K341CBsguKFRcZeop34HRUOzBNmDChzHOn06mCggKFhoYqMjKSwAQAAACYKC4yVMkNI7XjUIHW7c5R//bxVpcU0Kq96cORI0fKPPLz87V582b17dtX//znP82oEQAAAMAJmJZXd6odmCrSrl07Pfnkk+VGnwAAAADUvtTEOEnSWjZ+MF2tBCapdCOIzMzM2rocAAAAgEqkJv22tbhhGBZXE9iqvYZp4cKFZZ4bhqGsrCzNmTNH5557bq0VBgAAAKBiXZrFyh5k08H8ImXlFKpZHLf3MUu1A9Nll11W5rnNZlN8fLwGDRqkWbNm1VZdAAAAACoRHmJXx6YObcjM1dqMbAKTiaodmNxutxl1AAAAAKiGlMS40sC0O0fDuyVYXU7AqrU1TGa75JJL1KJFC4WHhyshIUF/+tOfWDMFAACAeqv78XVM7JRnriqNME2ePLnKF5w9e3aNizmZgQMH6i9/+YsSEhK0Z88e3XPPPbryyiv1zTffmPJ5AAAAgC/zbC3+054cud2GgoJs1hYUoKoUmH788ccqXcxmM++HNGnSJO8/t2zZUlOmTNFll10mp9OpkJAQ0z4XAAAA8EVt46MVEWJXflGJfjmYr7aNHVaXFJCqFJiWLVtmdh3VcvjwYc2fP199+vQ5aVgqKipSUVGR93lubq4kyel0yul0ml7nyXg+3+o6AhX9NRf9NRf9NRf9NRf9NRf9NZc/9rdLM4fW7MzW9zsOqeUZ4VaXc0q+1OOq1mAz/Gjj9vvvv19z5sxRQUGB/vCHP2jRokVq2LBhpedPnz5dM2bMKHf83XffVWRkpJmlAgAAAKb7eEeQlmUFqW8Tt0a2ZnO26igoKNB1112nnJwcxcTEVHpejQLTmjVr9P7772vXrl0qLi4u89qHH35Y5etMmTJFM2fOPOk5GzduVMeOHSVJBw8e1OHDh7Vz507NmDFDsbGxWrRoUaVTASsaYUpKStLBgwdP2pS64HQ6lZaWpsGDBzOl0AT011z011z011z011z011z011z+2N9Pf9qrie+vU0rzGP3rtj9YXc4p+VKPc3Nz1ahRo1MGpmpvK75gwQLdeOONGjp0qBYvXqwhQ4Zoy5Yt2rdvny6//PJqXevuu+/W6NGjT3pO69atvf/cqFEjNWrUSO3bt1enTp2UlJSkb7/9Vuecc06F7w0LC1NYWFi54yEhIZb/gDx8qZZARH/NRX/NRX/NRX/NRX/NRX/N5U/97ZVcOttq4948uW1BCgu2W1xR1fhCj6v6+dUOTI8//rieffZZjRs3Tg6HQ3/729/UqlUr3XrrrUpIqN7+7/Hx8YqPj69uCZJ+ux/UiSNIAAAAQH2SeEaEGkSF6vDRYm3MylP34zvnofZU+z5M27dv14gRIyRJoaGhOnr0qGw2myZNmqRXXnml1guUpP/973+aM2eO0tPTtXPnTi1dulTXXnut2rRpU+noEgAAABDobDabUhK5H5OZqh2YzjjjDOXl5UmSmjdvrvXr10uSsrOzVVBQULvVHRcZGakPP/xQ559/vjp06KCbb75ZKSkpWrFiRYVT7gAAAID6IjUxTpK0dne2pXUEqipPyVu/fr26du2q/v37Ky0tTd26ddPIkSM1YcIELV26VGlpaTr//PNNKbJbt25aunSpKdcGAAAA/JlnGh4jTOaocmBKSUnRWWedpcsuu0wjR46UJD344IMKCQnRN998oz/+8Y966KGHTCsUAAAAQHmeKXnbDxxVbqFTMeH+sWGFv6jylLwVK1aoS5cueuKJJ9SpUyeNGjVKK1eu1JQpU7Rw4ULNmjVLZ5xxhpm1AgAAAPidhtFhSjwjQpK0fneOxdUEnioHpn79+umNN95QVlaWXnjhBe3YsUPnnXee2rdvr5kzZ2rv3r1m1gkAAACgEqnHp+Wls46p1lV704eoqCiNGTNGK1as0JYtWzRy5Ei9+OKLatGihS655BIzagQAAABwEqnslGeaagemE7Vt21Z/+ctf9NBDD8nhcOjTTz+trboAAAAAVJFnp7x1TMmrdTUOTF999ZVGjx6tpk2b6t5779UVV1yhlStX1mZtAAAAAKqga/NYBdmkrJxC7csttLqcgFKtwJSZmanHH39c7du314ABA7Rt2zY9//zzyszM1Kuvvqo//OEPZtUJAAAAoBJRYcFq38QhiWl5ta3K24oPHz5cX375pRo1aqQbb7xRN910kzp06GBmbQAAAACqKCUxVpv25mnd7hwN6dLU6nICRpUDU0hIiD744ANddNFFstvtZtYEAAAAoJpSk+L0/prdWstOebWqyoFp4cKFZtYBAAAA4DR4Nn5Ym5EtwzBks9msLShAnNYueQAAAAB8Q4emDoUFBym3sEQ7DhVYXU7AIDABAAAAASDEHqQuzWIksfFDbSIwAQAAAAEiNSlOkpROYKo1BCYAAAAgQPx2A9tsS+sIJAQmAAAAIEB4RpjWZ+bK6XJbW0yAIDABAAAAASK5YaRiwoNVXOLW5r15VpcTEAhMAAAAQICw2WzeUSbux1Q7CEwAAABAADnxfkw4fQQmAAAAIIB4R5gycqwtJEAQmAAAAIAAkpoYK0nauj9PR4tKLK7G/xGYAAAAgADSOCZcCbHhchvS+j2MMp0uAhMAAAAQYLzrmNj44bQRmAAAAIAAk5JUOi2PdUynj8AEAAAABJjujDDVGgITAAAAEGC6JsbKZpN2Hzmmg/lFVpfj1whMAAAAQICJCQ9R60ZRkqR1jDKdFgITAAAAEIC4H1PtIDABAAAAAai7JzAxwnRaCEwAAABAAErxbPyQkS3DMKwtxo8RmAAAAIAA1CnBoRC7TUcKnNp95JjV5fgtAhMAAAAQgMKC7eqcECNJSs/ItrYYP0ZgAgAAAALUbxs/ZFtahz8jMAEAAAAByrOOad1udsqrKQITAAAAEKC6J8VKkn7ak6MSl9viavwTgQkAAAAIUK0bRSs6LFjHnC5t3Z9vdTl+icAEAAAABKigIJu6NS8dZVrH/ZhqhMAEAAAABDDPxg/pGaxjqgkCEwAAABDAPOuY2CmvZghMAAAAQADz7JS3eV+eCp0ua4vxQwQmAAAAIIAlxIYr3hEml9vQhkym5VUXgQkAAAAIYDabTanHR5lYx1R9BCYAAAAgwKUmslNeTRGYAAAAgADn2SmPjR+qj8AEAAAABLiU4yNMOw4VKLug2OJq/AuBCQAAAAhwcZGhSm4YKUlau5t1TNVBYAIAAADqAc+0vHVMy6sWAhMAAABQD3h2ylvLxg/VQmACAAAA6oHUpNJ1TOkZOTIMw+Jq/AeBCQAAAKgHujSLlT3IpoP5RcrKKbS6HL9BYAIAAADqgfAQuzo2dUhie/HqIDABAAAA9UTK8XVM6axjqjICEwAAAFBPdD++jmldBluLVxWBCQAAAKgnPFuL/7QnRy43Gz9UBYEJAAAAqCfaxkcrIsSu/KIS/XIg3+py/AKBCQAAAKgngu1B6ta8dFre2t1My6sKAhMAAABQj3jux8ROeVVDYAIAAADqEc86prXslFclBCYAAACgHkk9vrX4xqxcFZW4rC3GDxCYAAAAgHok8YwINYgKldNlaGNWntXl+Dy/C0xFRUXq3r27bDab0tPTrS4HAAAA8Cs2m02piaxjqiq/C0z33XefmjVrZnUZAAAAgN9KOT4tj3VMp+ZXgenzzz/X4sWL9cwzz1hdCgAAAOC3uns2fmCE6ZSCrS6gqvbt26exY8fq448/VmRkZJXeU1RUpKKiIu/z3NxcSZLT6ZTT6TSlzqryfL7VdQQq+msu+msu+msu+msu+msu+muu+tTfTk2jJEnbDxzV4bwCOcJD6uRzfanHVa3BZhiGYXItp80wDF144YU699xz9dBDD2nHjh1q1aqVfvzxR3Xv3r3S902fPl0zZswod/zdd9+tcugCAAAAAtGMH+w6XGTTuM4utY/1+UhQ6woKCnTdddcpJydHMTExlZ5n6QjTlClTNHPmzJOes3HjRi1evFh5eXl64IEHqnX9Bx54QJMnT/Y+z83NVVJSkoYMGXLSptQFp9OptLQ0DR48WCEhdZPo6xP6ay76ay76ay76ay76ay76a6761t//5K3VZ+v3KaJ5R13Yv1WdfKYv9dgz++xULA1Md999t0aPHn3Sc1q3bq2lS5dq1apVCgsLK/PamWeeqeuvv15vvfVWhe8NCwsr9x5JCgkJsfwH5OFLtQQi+msu+msu+msu+msu+msu+muu+tLfHi0a6LP1+/RTZm6df19f6HFVP9/SwBQfH6/4+PhTnvf888/r0Ucf9T7PzMzU0KFD9d5776l3795mlggAAAAEpBTv1uI5Flfi2/xi04cWLVqUeR4dHS1JatOmjRITE60oCQAAAPBrXZvHKsgm7c0t1L7cQjWJCbe6JJ/kV9uKAwAAAKgdUWHBat/EIYntxU/GLwNTcnKyDMM46Q55AAAAAE7OOy2PG9hWyi8DEwAAAIDTl3r8BrbrdrOOqTIEJgAAAKCeSk2Mk1Q6Jc/trn/3YqoKAhMAAABQT3Vo6lBYcJByC0u049BRq8vxSQQmAAAAoJ4KsQepS7MYSUzLqwyBCQAAAKjHPOuY0tkpr0IEJgAAAKAe865jYqe8ChGYAAAAgHrMM8K0ITNXTpfb2mJ8EIEJAAAAqMeSG0YqJjxYxSVubd6bZ3U5PofABAAAANRjNpuNdUwnQWACAAAA6jnPOqZ1rGMqh8AEAAAA1HOeEaa1GWwt/nsEJgAAAKCeS02MlSRt3Z+no0UlFlfjWwhMAAAAQD3XOCZcCbHhchvS+j2MMp2IwAQAAACA+zFVgsAEAAAAgHVMlSAwAQAAAPCuY2KEqSwCEwAAAAB1TYyVzSbtPnJMB/OLrC7HZxCYAAAAACgmPERt4qMlcT+mExGYAAAAAEiSUo5Py0tnHZMXgQkAAACAJKn78Y0fGGH6DYEJAAAAgKQTthbPyJZhGNYW4yMITAAAAAAkSR0THAqx23SkwKmMw8esLscnEJgAAAAASJLCgu3qnBAjie3FPQhMAAAAALx+u4FttqV1+AoCEwAAAACvFM86JkaYJBGYAAAAAJyge1Lp1uLr9+SqxOW2uBrrEZgAAAAAeLVuFK3osGAdc7q0dX++1eVYjsAEAAAAwCsoyKZuzUtHmVjHRGACAAAA8DvejR9251hbiA8gMAEAAAAow7OOiREmAhMAAACA3/HslLd5X56OFbusLcZiBCYAAAAAZSTEhiveESaX29DPWfV7Wh6BCQAAAEAZNptNqcdHmdIzCEwAAAAAUEZqIuuYJAITAAAAgAp4dspbtzvb0jqsRmACAAAAUE7K8RGmHYcKlF1QbHE11iEwAQAAACgnLjJUrRpFSarf92MiMAEAAACokGeUaV09XsdEYAIAAABQIc9OeWvr8TomAhMAAACACnk2fkjPyJFhGNYWYxECEwAAAIAKdWkWo+Agmw7mFykzp9DqcixBYAIAAABQofAQuzo0dUiqv+uYCEwAAAAAKuWdlldP1zERmAAAAABUKvX4TnlrGWECAAAAgLI8I0zr9+TK5a5/Gz8QmAAAAABUql1jhyJD7covKtEvB/KtLqfOEZgAAAAAVMoeZFPXZqXT8tLr4bQ8AhMAAACAk0pNKg1M63bnWFxJ3SMwAQAAADgpzzqmtfVwpzwCEwAAAICTSk2MkyRtzMpVUYnL2mLqGIEJAAAAwEklnhGhBlGhcroMbczKs7qcOkVgAgAAAHBSNput3t6PicAEAAAA4JRSjk/LIzABAAAAwO90r6cbPxCYAAAAAJxSyvEpedsPHFVuodPiauoOgQkAAADAKTWMDlPiGRGSpJ/q0f2YCEwAAAAAqqQ+3o+JwAQAAACgSrrXw40fCEwAAAAAqsQ7wpTBlDyfk5ycLJvNVubx5JNPWl0WAAAAUG90bR6jIJu0N7dQ+3ILrS6nTvhNYJKkRx55RFlZWd7HnXfeaXVJAAAAQL0RGRqs9k0ckurPtDy/CkwOh0NNmzb1PqKioqwuCQAAAKhXUj3rmOrJxg/BVhdQHU8++aT++te/qkWLFrruuus0adIkBQdX/hWKiopUVFTkfZ6bmytJcjqdcjqt3Tve8/lW1xGo6K+56K+56K+56K+56K+56K+56G/VdGkWLUn6cdeRavfKl3pc1RpshmEYJtdSK2bPnq2ePXuqQYMG+uabb/TAAw9ozJgxmj17dqXvmT59umbMmFHu+LvvvqvIyEgzywUAAAAC0u6j0tPrghVhN/T4WS4F2ayuqGYKCgp03XXXKScnRzExMZWeZ2lgmjJlimbOnHnSczZu3KiOHTuWO/7GG2/o1ltvVX5+vsLCwip8b0UjTElJSTp48OBJm1IXnE6n0tLSNHjwYIWEhFhaSyCiv+aiv+aiv+aiv+aiv+aiv+aiv1XjdLnV49GlKipxa/GEc9WqUdWXyfhSj3Nzc9WoUaNTBiZLp+TdfffdGj169EnPad26dYXHe/furZKSEu3YsUMdOnSo8JywsLAKw1RISIjlPyAPX6olENFfc9Ffc9Ffc9Ffc9Ffc9Ffc9HfkwsJkbo0i9EPu7K1YW++2ifE1eAa1ve4qp9vaWCKj49XfHx8jd6bnp6uoKAgNW7cuJarAgAAAHAyqUlx+mFXttZm5OjyHolWl2Mqv9j0YdWqVfrf//6ngQMHyuFwaNWqVZo0aZJuuOEGnXHGGVaXBwAAANQr3T03sK0HO+X5RWAKCwvTggULNH36dBUVFalVq1aaNGmSJk+ebHVpAAAAQL2Tcnxr8Q2ZuSoucSs02K/uVlQtfhGYevbsqW+//dbqMgAAAABISm4YqZjwYOUWlmjLvjx1bR5rdUmmCdwoCAAAAMAUNptNqcen5aVnZFtai9kITAAAAACqLfX4tLy1BCYAAAAAKMszwrRud461hZiMwAQAAACg2lITS9ctbdmfp/yiEourMQ+BCQAAAEC1NY4JV0JsuAxDWr8ncEeZCEwAAAAAasSzjmldAN+PicAEAAAAoEY865jWZjDCBAAAAABleNYxBfLW4gQmAAAAADXSNTFWNpu0J/uYDuYXWV2OKQhMAAAAAGokJjxEbeKjJQXuOiYCEwAAAIAaS/FOywvMdUwEJgAAAAA11t17A9tsS+swC4EJAAAAQI15thZfm5EtwzCsLcYEBCYAAAAANdYxwaFQe5COFDiVcfiY1eXUOgITAAAAgBoLC7arU4JDkpQegNPyCEwAAAAATovnBrbrAvB+TAQmAAAAAKfFu46JESYAAAAAKCs1qXRr8Z/25KjE5ba4mtpFYAIAAABwWlo3ilZ0WLAKnW5t3Z9vdTm1isAEAAAA4LQEBdm8N7BdG2DrmAhMAAAAAE5bSoCuYyIwAQAAADht3ZM8I0w5FldSuwhMAAAAAE6bZ2vxzfvydKzYZW0xtYjABAAAAOC0NY0JV7wjTC63oQ2ZgTPKRGACAAAAcNpsNtsJ92MiMAEAAABAGb+tY8q2tpBaFGx1Ab7I5XLJ6XSa+hlOp1PBwcEqLCyUyxU4czx9QUhIiNUlAAAA1EuBuFMegekEhmFo7969ys7OrpPPatq0qTIyMmSz2Uz/vPrG4XBYXQIAAEC947kX085DBcouKFZcZKjFFZ0+AtMJPGGpcePGioyMNDXIuN1u5efnKzo6WkFBzIysLYZhqKCgQPv27SM0AQAA1LG4yFC1ahSlXw8e1drdOTqvfbzVJZ02AtNxLpfLG5YaNmxo+ue53W4VFxcrPDycwFTLIiIi5Ha7dfToUblcLqboAQAA1KGUxNjSwJSRHRCBib/Uj/OsWYqMjLS4EtSGyMhIBQUFqaSkxOpSAAAA6hXPTnnrAmQdE4Hpd1hPFBg8P0fDMCyuBAAAoH7x3MA2PSMnIP4WIzABAAAAqDVdmsUoOMimg/lFyswptLqc00ZgAgAAAFBrwkPs6tC0dPOtdQFwPyYCUy15Nm2Lnl+ytcLXnl+yVc+mbTHts0ePHi2bzVbusW3bNtM+00zz5s1TXFyc1WUAAACghrzT8gJgHROBqZbYg2yaXUFoen7JVs1O2yJ7kLlro4YNG6asrKwyj1atWlX7OsXFxSZUBwAAgPok9fj9mNYywhS4DMNQQXFJlR+39GulOwe11ey0LZq1eLMKiks0a/FmzU7bojsHtdUt/VqVe8+xYleF16rJ4riwsDA1bdq0zMNut2vFihU6++yzFRYWpoSEBE2ZMqXMznEDBgzQ+PHjNXHiRDVq1EhDhw6VJK1fv17Dhw9XdHS0mjRpoj/96U86ePCg931ut1tPPfWU2rZtq7CwMLVo0UKPPfaY9/X7779f7du3V2RkpFq3bq2HH37YuxOhJK1du1YDBw6Uw+FQTEyMevXqpTVr1mj58uUaM2aMcnJyvCNl06dPlyT9/e9/V7t27RQeHq4mTZroyiuvrHafAAAAYD7PCNNPu3Pkcvv3xg/ch6kSx5wudZ76nxq994Wl2/TC0m2VPj+Vnx8ZqsjQ0//R7NmzRxdeeKFGjx6tt99+W5s2bdLYsWMVHh7uDSGS9NZbb+n222/XypUrJUnZ2dkaNGiQbrnlFj377LM6duyY7r//fl111VVaunSpJOmBBx7Qq6++qmeffVZ9+/ZVVlaWNm3a5L2mw+HQvHnz1KxZM/30008aO3asHA6H7rvvPknS9ddfrx49emju3Lmy2+1KT09XSEiI+vTpo+eee05Tp07V5s2bJUnR0dFas2aN7rrrLr3zzjvq06ePDh8+rP/+97+n3SMAAADUvnaNHYoMtetosUu/HMhXuyYOq0uqMQJTgFi0aJGio6O9z4cPH6727dsrKSlJc+bMkc1mU8eOHZWZman7779fU6dO9d4wt127dnrqqae873300UfVo0cPPf74495jb7zxhpKSkrRlyxYlJCTob3/7m+bMmaNRo0ZJktq0aaO+fft6z3/ooYe8/5ycnKx77rlHCxYs8AamXbt26d5771XHjh29NXjExsbKZrOpadOm3mO7du1SVFSULrroIjkcDrVs2VI9evSold4BAACgdtmDbOraPFbf/XpY6RnZBKZAFBFi18+PDK32++Yu364Xlm5TiN0mp8vQnYPa6vYBbcqd53a7lZebJ0eMwxtcTvzs6ho4cKDmzp3rfR4VFaVx48bpnHPOKXNvqXPPPVf5+fnavXu3WrRoIUnq1atXmWutXbtWy5YtKxPAPLZv367s7GwVFRXp/PPPr7Se9957T88//7y2b9+u/Px8lZSUKCYmxvv65MmTdcstt+idd97RBRdcoJEjR6pNm/J98hg8eLBatmyp1q1ba9iwYRo2bJguv/xybjQMAADgo1ITSwPT2t3ZGnlmktXl1BhrmCphs9kUGRpcrcdr//1VLyzdpsmD22vrYxdq8uD2emHpNr32318rPD8i1F7h8ZrcPDcqKkpt27b1PhISEqr13hPl5+fr4osvVnp6epnH1q1b1b9/f0VERJz0eqtWrdL111+vCy+8UIsWLdKPP/6oBx98sMyGEtOnT9eGDRs0YsQILV26VJ07d9ZHH31U6TUdDod++OEH/fOf/1RCQoKmTp2q1NRUZWdnV/l7AgAAoO541jGt251jbSGnicBUSzy74U0e3F53nV86veyu89tp8uD2Fe6eVxc6deqkVatWldlEYuXKlXI4HEpMTKz0fT179tSGDRuUnJxcJoS1bdtWUVFRateunSIiIrRkyZIK3//NN9+oZcuWevDBB3XmmWeqXbt22rlzZ7nz2rdvr0mTJmnx4sW64oor9Oabb0qSQkND5XK5yp0fHBysCy64QE899ZTWrVunHTt2eNdUAQAAwLekJsZJkjZm5arQWf5vO39BYKolLrdRJix5eEKTFbuD3HHHHcrIyNCdd96pTZs26ZNPPtG0adM0efLkctMATzRu3DgdPnxY1157rVavXq3t27frP//5j8aMGSOXy6Xw8HDdf//9uu+++/T2229r+/bt+vbbb/X6669LKl2PtGvXLi1YsEDbt2/X888/X2b06NixYxo/fryWL1+unTt3auXKlVq9erU6deokqXTNU35+vpYsWaKDBw+qoKBAixYt0vPPP6/09HTt3LlTb7/9ttxutzp06GBuEwEAAFAjiWdEqEFUqJwuQxuzcq0up8ZYw1RLJg1uX+lrvw9RdaV58+b67LPPdO+99yo1NVUNGjTQzTffXGZDhoo0a9ZMK1eu1P33368hQ4aoqKhILVu21LBhw7xB6+GHH1ZwcLCmTp2qzMxMJSQk6LbbbpMkXXLJJZo0aZLGjx+voqIijRgxQg8//LB3Zz673a5Dhw7pxhtv1L59+9SoUSNdccUVmjFjhiSpT58+uu2223T11Vfr0KFDmjZtmi644AJ9+OGHmj59ugoLC9WuXTv985//VJcuXcxrIAAAAGrMZrMpNTFWyzYf0LrdOerR4gyrS6oRAlMAmDdvXqWvnXfeefruu+8qfX358uUVHm/Xrp0+/PDDSt8XFBSkBx98UA8++GCFrz/11FNldt6TpIkTJ0oqnXL3z3/+s9JrS9LcuXPLbGJxsloBAADgm1KT4rRs8wG/voEtU/IAAAAAmMKzjil9d7aldZwOAhMAAAAAU6QkxkqSfjlwVLmFTourqRkCEwAAAABTNIwOU1KD0lvS/OSn24sTmAAAAACYJsUzLc9P1zERmAAAAACYpvvxwLTOT9cxEZgAAAAAmCY1KU6StDaDKXkAAAAAUEbX5jEKskl7cwu1L7fQ6nKqjcAEAAAAwDSRocFq38QhSfppT67F1VQfgQkAAACAqVK965j8b1oegam2uV3Sr/+Vfvqg9H/dLqsrsozNZtPHH39sdRkAAACwWEpS6f2Y1u4hMNVvPy+UnusqvXWR9K+bS//3ua6lx022atUq2e12jRgxolrvS05O1nPPPWdOUQAAAKj3nk3bop8zS6fird+TK7fx22vPL9mqZ9O2WFRZ1RCYasvPC6X3b5RyM8sez80qPW5yaHr99dd155136quvvlJmZuap3wAAAADUAXuQTfP/t0v2IJtyC0t08Pi+D88v2arZaVtkD7JZW+ApEJgqYxhS8dGqPQpzpc/vk2RUdKHS//ni/tLzTnyfs6Di6xkVXady+fn5eu+993T77bdrxIgRmjdvXpnX//3vf+uss85SeHi4GjVqpMsvv1ySNGDAAO3cuVOTJk2SzWaTzVb6yzp9+nR17969zDWee+45JScne5+vXr1agwcPVqNGjRQbG6vzzjtPP/zwQ6U1FhcXa/z48UpISFB4eLhatmypJ554olrfEwAAAP7nrvPbafLg9nIdH1ramW/TnGXbNTttiyYPbq+7zm9ncYUnF2x1AT7LWSA93qyWLmaUjjw9meQ9EiQprrLT/5IphUZV+ervv/++OnbsqA4dOuiGG27QxIkT9cADD8hms+nTTz/V5ZdfrgcffFBvv/22iouL9dlnn0mSPvzwQ6WmpurPf/6zxo4dW61vlJeXp1GjRumFF16QYRiaNWuWLrzwQm3dulUOh6Pc+c8//7wWLlyo999/Xy1atFBGRoYyMjKq9ZkAAADwT3ed307LNu/Xj7uyNX9bkIxt2/0iLEl+Fpg+/fRTPfLII1q3bp3Cw8N13nnnsamASqfj3XDDDZKkYcOGKScnRytWrNCAAQP02GOP6ZprrtGMGTO856empkqSGjRoILvdLofDoaZNm1brMwcNGlTm+SuvvKK4uDitWLFCF110Ubnzd+3apXbt2qlv376y2Wxq2bJldb8mAAAA/NjNfVvpznd/lCGbQuw2vwhLkh8Fpn/9618aO3asHn/8cQ0aNEglJSVav369eR8YElk60lMVO7+R5l956vOu/0Bq2UeS5Ha7lZuXpxiHQ0FBv5sZGRJZ5TI3b96s7777Th999JEkKTg4WFdffbVef/11DRgwQOnp6dUePaqKffv26aGHHtLy5cu1f/9+uVwuFRQUaNeuXRWeP3r0aA0ePFgdOnTQsGHDdNFFF2nIkCG1XhcAAAB80y8HjsqQZLcZcrpK1zD5Q2jyi8BUUlKiCRMm6Omnn9bNN9/sPd65c2fzPtRmq/q0uDaDpJhmpRs8VLiOyVb6eptBUpC99JDbLYW4Sj/j94GpGl5//XWVlJSoWbPfpg8ahqGwsDDNmTNHERER1b5mUFCQjN+to3I6nWWejxo1SocOHdLf/vY3tWzZUmFhYTrnnHNUXFxc4TV79uypX3/9VZ9//rm+/PJLXXXVVbrgggv0wQcfVLs+AAAA+BfPBg8TBrVR62Ob9UtEB80+vjuer4cmvwhMP/zwg/bs2aOgoCD16NFDe/fuVffu3fX000+ra9eulb6vqKhIRUVF3ue5uaXbGTqdznIBwOl0yjAMud1uud3ualZok4Y+Kdv/jZJkk+2E0GSodCMFY+gTpecdv7YnkHg+syZKSkr09ttv65lnntHgwYPLvHbFFVdo/vz5SklJ0ZdffqlRo0ZVeI3Q0FCVlJSUqaFhw4bau3evXC6XdyOIH3/8UZK8561cuVJz5szRsGHDJEkZGRk6ePBgue9zYj+jo6M1cuRIjRw5UldccYUuvPBCHTx4UA0aNKjR9z8ZT39LSkrK/axx+jw9pbfmoL/mor/mor/mor/mor/mmLNsu/62dLsmDGqjW/u2UFraZt3at4UkaXbaFrlcLo0f2KbO66rqz9kvAtMvv/wiqXT3ttmzZys5OVmzZs3SgAEDtGXLlkr/4H7iiSfKrN3xWLx4sSIjy057Cw4OVtOmTZWfn1/pKMlJNT9PIRfNVcTyGbLlZ3kPG9FNdWzANDmbnycdD2wnysvLq/5nHffpp5/qyJEjuvLKKxUbG1vmtREjRui1117TI488oksvvVSJiYm64oorVFJSorS0NE2cOFGSlJiYqKVLl+rCCy9UWFiYGjZsqDPPPFMHDhzQX//6V1166aX68ssv9fnnn8vhcHhDZ+vWrfXWW2+pY8eOysvL09SpUxUREaHCwkLvOZJ07Ngx5ebm6sUXX1STJk2UkpKioKAg/fOf/1STJk0UFBRU5vza4vkZfvPNNyopKan166NUWlqa1SUENPprLvprLvprLvprLvpbuzZnBOnCJEOtj21WWtpmSaU9bi3pwiSbNm/Zqs+Oba7zugoKCqp0ns34/dyrOjRlyhTNnDnzpOds3LhRP/zwg66//nq9/PLL+vOf/yypdPQoMTFRjz76qG699dYK31vRCFNSUpIOHjyomJiYMucWFhYqIyNDycnJCg8Pr/mXcrukXauk/L1SdFOpxTm/TcM7gWEYysvLk8Ph8I7iVNcll1wit9utRYsWlXvtu+++0znnnKMff/xR27Zt02OPPaaff/5ZMTEx6tevn3cq3Lfffqvbb79dmzdvVlFRkVwulyTppZde0pNPPqnDhw/riiuuUIcOHfTqq696w+uPP/6o2267TevXr1dSUpIeffRR3XfffZowYYImTJggSbLb7frXv/6lyy67TK+++qpeeuklbd26VXa7XWeddZZmzpypHj161Oi7n8qxY8e0adMmtW7dWtHR0aZ8Rn3mdDqVlpamwYMHKyQkxOpyAg79NRf9NRf9NRf9NRf9NZ8v9Tg3N1eNGjVSTk5OuWxwIktHmO6++26NHj36pOe0bt1aWVmlIzYnrlkKCwtT69atK91kwHNOWFhYueMhISHlfkCe6WdBQUHlN2GojqAgqXX/U57mmabm+cyaqCgoefzhD3/wTkvr3r27rryy4k0p+vTpo7Vr15Y7fscdd+iOO+4oc+zBBx/0/nOvXr20evXqMq9fddVVZZ6fmMVvvfXWSoOtGTwhNDg42PJ/GQNZRf8uofbQX3PRX3PRX3PRX3PRX/P5Qo+r+vmWBqb4+HjFx8ef8rxevXopLCxMmzdvVt++fSWVptMdO3awPTUAAAAA0/jFGqaYmBjddtttmjZtmpKSktSyZUs9/fTTkqSRI0daXB0AAACAQOUXgUmSnn76aQUHB+tPf/qTjh07pt69e2vp0qU644wzrC4NAAAAQIDym8AUEhKiZ555Rs8884zVpQAAAACoJ05jd4PAZOGmgahFnp9jTXcgBAAAACQCk5dnl4yq7scO31ZQUCC3263gYL8ZRAUAAIAP4q/J4+x2u+Li4rR//35JUmRkpKmjE263W8XFxSosLDy9bcxRhmEYKigo0IEDB5SXlye7vfw9sAAAAICqIjCdoGnTppLkDU1mMgxDx44dU0REBNPGTBATE6OtW7daXQYAAAD8HIHpBDabTQkJCWrcuLGcTqepn+V0OvXVV1+pf//+lt+0K9CEhIR4bwwMAAAAnA4CUwXsdrvpU7nsdrtKSkoUHh5OYDIBgQkAAAC1gcUzAAAAAFAJAhMAAAAAVILABAAAAACVqFdrmDw3M83NzbW4ktJNHwoKCpSbm8saJhPQX3PRX3PRX3PRX3PRX3PRX3PRX/P5Uo89mcCTESpTrwJTXl6eJCkpKcniSgAAAAD4gry8PMXGxlb6us04VaQKIG63W5mZmXI4HJbf+yg3N1dJSUnKyMhQTEyMpbUEIvprLvprLvprLvprLvprLvprLvprPl/qsWEYysvLU7NmzRQUVPlKpXo1whQUFKTExESryygjJibG8l+WQEZ/zUV/zUV/zUV/zUV/zUV/zUV/zecrPT7ZyJIHmz4AAAAAQCUITAAAAABQCQKTRcLCwjRt2jSFhYVZXUpAor/mor/mor/mor/mor/mor/mor/m88ce16tNHwAAAACgOhhhAgAAAIBKEJgAAAAAoBIEJgAAAACoBIEJAAAAACpBYLLIiy++qOTkZIWHh6t379767rvvrC4pIHz11Ve6+OKL1axZM9lsNn388cdWlxRQnnjiCZ111llyOBxq3LixLrvsMm3evNnqsgLG3LlzlZKS4r2Z3znnnKPPP//c6rIC1pNPPimbzaaJEydaXUpAmD59umw2W5lHx44drS4roOzZs0c33HCDGjZsqIiICHXr1k1r1qyxuqyAkJycXO7312azady4cVaXFhBcLpcefvhhtWrVShEREWrTpo3++te/yl/2niMwWeC9997T5MmTNW3aNP3www9KTU3V0KFDtX//fqtL83tHjx5VamqqXnzxRatLCUgrVqzQuHHj9O233yotLU1Op1NDhgzR0aNHrS4tICQmJurJJ5/U999/rzVr1mjQoEG69NJLtWHDBqtLCzirV6/Wyy+/rJSUFKtLCShdunRRVlaW9/H1119bXVLAOHLkiM4991yFhITo888/188//6xZs2bpjDPOsLq0gLB69eoyv7tpaWmSpJEjR1pcWWCYOXOm5s6dqzlz5mjjxo2aOXOmnnrqKb3wwgtWl1YlbCtugd69e+uss87SnDlzJElut1tJSUm68847NWXKFIurCxw2m00fffSRLrvsMqtLCVgHDhxQ48aNtWLFCvXv39/qcgJSgwYN9PTTT+vmm2+2upSAkZ+fr549e+rvf/+7Hn30UXXv3l3PPfec1WX5venTp+vjjz9Wenq61aUEpClTpmjlypX673//a3Up9cLEiRO1aNEibd26VTabzepy/N5FF12kJk2a6PXXX/ce++Mf/6iIiAj94x//sLCyqmGEqY4VFxfr+++/1wUXXOA9FhQUpAsuuECrVq2ysDKg+nJyciSV/lGP2uVyubRgwQIdPXpU55xzjtXlBJRx48ZpxIgRZf5/GLVj69atatasmVq3bq3rr79eu3btsrqkgLFw4UKdeeaZGjlypBo3bqwePXro1VdftbqsgFRcXKx//OMfuummmwhLtaRPnz5asmSJtmzZIklau3atvv76aw0fPtziyqom2OoC6puDBw/K5XKpSZMmZY43adJEmzZtsqgqoPrcbrcmTpyoc889V127drW6nIDx008/6ZxzzlFhYaGio6P10UcfqXPnzlaXFTAWLFigH374QatXr7a6lIDTu3dvzZs3Tx06dFBWVpZmzJihfv36af369XI4HFaX5/d++eUXzZ07V5MnT9Zf/vIXrV69WnfddZdCQ0M1atQoq8sLKB9//LGys7M1evRoq0sJGFOmTFFubq46duwou90ul8ulxx57TNdff73VpVUJgQlAjYwbN07r169njUIt69Chg9LT05WTk6MPPvhAo0aN0ooVKwhNtSAjI0MTJkxQWlqawsPDrS4n4Jz4X4pTUlLUu3dvtWzZUu+//z5TSmuB2+3WmWeeqccff1yS1KNHD61fv14vvfQSgamWvf766xo+fLiaNWtmdSkB4/3339f8+fP17rvvqkuXLkpPT9fEiRPVrFkzv/j9JTDVsUaNGslut2vfvn1lju/bt09Nmza1qCqgesaPH69Fixbpq6++UmJiotXlBJTQ0FC1bdtWktSrVy+tXr1af/vb3/Tyyy9bXJn/+/7777V//3717NnTe8zlcumrr77SnDlzVFRUJLvdbmGFgSUuLk7t27fXtm3brC4lICQkJJT7DyedOnXSv/71L4sqCkw7d+7Ul19+qQ8//NDqUgLKvffeqylTpuiaa66RJHXr1k07d+7UE0884ReBiTVMdSw0NFS9evXSkiVLvMfcbreWLFnCOgX4PMMwNH78eH300UdaunSpWrVqZXVJAc/tdquoqMjqMgLC+eefr59++knp6enex5lnnqnrr79e6enphKValp+fr+3btyshIcHqUgLCueeeW+42Dlu2bFHLli0tqigwvfnmm2rcuLFGjBhhdSkBpaCgQEFBZWOH3W6X2+22qKLqYYTJApMnT9aoUaN05pln6uyzz9Zzzz2no0ePasyYMVaX5vfy8/PL/NfMX3/9Venp6WrQoIFatGhhYWWBYdy4cXr33Xf1ySefyOFwaO/evZKk2NhYRUREWFyd/3vggQc0fPhwtWjRQnl5eXr33Xe1fPly/ec//7G6tIDgcDjKrbeLiopSw4YNWYdXC+655x5dfPHFatmypTIzMzVt2jTZ7XZde+21VpcWECZNmqQ+ffro8ccf11VXXaXvvvtOr7zyil555RWrSwsYbrdbb775pkaNGqXgYP5Erk0XX3yxHnvsMbVo0UJdunTRjz/+qNmzZ+umm26yurSqMWCJF154wWjRooURGhpqnH322ca3335rdUkBYdmyZYakco9Ro0ZZXVpAqKi3kow333zT6tICwk033WS0bNnSCA0NNeLj443zzz/fWLx4sdVlBbTzzjvPmDBhgtVlBISrr77aSEhIMEJDQ43mzZsbV199tbFt2zarywoo//73v42uXbsaYWFhRseOHY1XXnnF6pICyn/+8x9DkrF582arSwk4ubm5xoQJE4wWLVoY4eHhRuvWrY0HH3zQKCoqsrq0KuE+TAAAAABQCdYwAQAAAEAlCEwAAAAAUAkCEwAAAABUgsAEAAAAAJUgMAEAAABAJQhMAAAAAFAJAhMAAAAAVILABAAAAACVIDABAAAAQCUITAAAvzR69GjZbDbZbDaFhISoSZMmGjx4sN544w253e4qX2fevHmKi4szr1AAgF8jMAEA/NawYcOUlZWlHTt26PPPP9fAgQM1YcIEXXTRRSopKbG6PABAACAwAQD8VlhYmJo2barmzZurZ8+e+stf/qJPPvlEn3/+uebNmydJmj17trp166aoqCglJSXpjjvuUH5+viRp+fLlGjNmjHJycryjVdOnT5ckFRUV6Z577lHz5s0VFRWl3r17a/ny5dZ8UQCAZQhMAICAMmjQIKWmpurDDz+UJAUFBen555/Xhg0b9NZbb2np0qW67777JEl9+vTRc889p5iYGGVlZSkrK0v33HOPJGn8+PFatWqVFixYoHXr1mnkyJEaNmyYtm7datl3AwDUPZthGIbVRQAAUF2jR49Wdna2Pv7443KvXXPNNVq3bp1+/vnncq998MEHuu2223Tw4EFJpWuYJk6cqOzsbO85u3btUuvWrbVr1y41a9bMe/yCCy7Q2Wefrccff7zWvw8AwDcFW10AAAC1zTAM2Ww2SdKXX36pJ554Qps2bVJubq5KSkpUWFiogoICRUZGVvj+n376SS6XS+3bty9zvKioSA0bNjS9fgCA7yAwAQACzsaNG9WqVSvt2LFDF110kW6//XY99thjatCggb7++mvdfPPNKi4urjQw5efny2636/vvv5fdbi/zWnR0dF18BQCAjyAwAQACytKlS/XTTz9p0qRJ+v777+V2uzVr1iwFBZUu233//ffLnB8aGiqXy1XmWI8ePeRyubR//37169evzmoHAPgeAhMAwG8VFRVp7969crlc2rdvn7744gs98cQTuuiii3TjjTdq/fr1cjqdeuGFF3TxxRdr5cqVeumll8pcIzk5Wfn5+VqyZIlSU1MVGRmp9u3b6/rrr9eNN96oWbNmqUePHjpw4ICWLFmilJQUjRgxwqJvDACoa+ySBwDwW1988YUSEhKUnJysYcOGadmyZXr++ef1ySefyG63KzU1VbNnz9bMmTPVtWtXzZ8/X0888USZa/Tp00e33Xabrr76asXHx+upp56SJL355pu68cYbdffdd6tDhw667LLLtHr1arVo0cKKrwoAsAi75AEAAABAJRhhAgAAAIBKEJgAAAAAoBIEJgAAAACoBIEJAAAAACpBYAIAAACAShCYAAAAAKASBCYAAAAAqASBCQAAAAAqQWACAAAAgEoQmAAAAACgEgQmAAAAAKjE/wNFGLWAHszHnAAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n",
"4\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n",
"5\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n",
"6\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n",
"7\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n",
"8\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n",
"9\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for i in range(batch_valid-cnt_thrown_idx):\n",
" print ('\\n') \n",
" print (i)\n",
" X_resh = X_valid[i:i+1, :, 6].flatten()\n",
" # print (X_resh)\n",
" # print ('\\n')\n",
" y_resh = y_valid[i:i+1].flatten()\n",
" # print (y_resh)\n",
" y_est_resh = y_hat[i:i+1].flatten()\n",
" # print (y_est_resh)\n",
" # print ('\\n')\n",
" actual = np.concatenate((X_resh, y_resh)) * 100000.00\n",
" # print (actual)\n",
" # print ('\\n')\n",
" estimate = np.concatenate((X_resh, y_est_resh)) * 100000.00\n",
" # print (estimate)\n",
"\n",
" dates = list(range(sl+frwd))\n",
" \n",
" # Create a pandas DataFrame\n",
" data = pd.DataFrame({'Date': dates, 'Actuals': actual, 'Forecasts': estimate})\n",
" \n",
" # Set the 'Date' column as the index\n",
" data.set_index('Date', inplace=True)\n",
" \n",
" # Create a figure and axis object using object-oriented style\n",
" fig, ax = plt.subplots(figsize = (10, 6))\n",
" \n",
" # Plot actuals vs. forecasts\n",
" ax.plot(data.index, data['Forecasts'], label = 'Forecasts', marker = 'x')\n",
" ax.plot(data.index, data['Actuals'], label = 'Actuals', marker = 'o')\n",
" \n",
" # Set labels and title\n",
" ax.set_xlabel('Date')\n",
" ax.set_ylabel('Value')\n",
" ax.set_title('Actuals vs. Forecasts')\n",
"\n",
" ax.legend() # Add legend\n",
"\n",
" ax.grid(True) # Add grid\n",
" \n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "4acc8461-7c33-4b38-91c7-422f89d7d5b0",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "75c0ee52-c740-434a-92bd-4f46f9ce290a",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 255,
"id": "7a9e8c46-d24e-4ce9-b20a-232b4a86dab6",
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" date close_xrp volume_xrp vwap_xrp close_eth volume_eth vwap_eth \\\n",
"0 1-0-0 0.5173 28809.165339 0.517217 0.376204 37.497964 0.376108 \n",
"\n",
" close_ltc volume_ltc vwap_ltc close_btc volume_btc vwap_btc Selected \n",
"0 0.8317 110.056253 0.831662 0.67506 2.045049 0.674969 0 \n"
]
}
],
"source": [
"print (sample_test.head(1))"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "14eb03d2-1dbe-4834-908f-5a520a4a28c5",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "598f83ca-cbb1-44f8-a1c6-7ce84f2243d7",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 1,
"id": "39259ac7-422b-48dc-aecd-2c9799ae3066",
"metadata": {},
"outputs": [
{
"ename": "NameError",
"evalue": "name 'sample_test' is not defined",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[0;32mIn[1], line 5\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;66;03m# variables are close and volume\u001b[39;00m\n\u001b[1;32m 2\u001b[0m \u001b[38;5;66;03m# ==============================\u001b[39;00m\n\u001b[1;32m 3\u001b[0m \u001b[38;5;66;03m# Test Sample --- 06.14.2024\u001b[39;00m\n\u001b[1;32m 4\u001b[0m \u001b[38;5;66;03m# ==============================\u001b[39;00m\n\u001b[0;32m----> 5\u001b[0m sample_size \u001b[38;5;241m=\u001b[39m \u001b[43msample_test\u001b[49m\u001b[38;5;241m.\u001b[39mshape[\u001b[38;5;241m0\u001b[39m]\n\u001b[1;32m 6\u001b[0m \u001b[38;5;28mprint\u001b[39m (\u001b[38;5;124m'\u001b[39m\u001b[38;5;124msample_size: \u001b[39m\u001b[38;5;124m'\u001b[39m, sample_size)\n\u001b[1;32m 8\u001b[0m sl \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m16\u001b[39m \u001b[38;5;66;03m# <--- sequence length\u001b[39;00m\n",
"\u001b[0;31mNameError\u001b[0m: name 'sample_test' is not defined"
]
}
],
"source": [
"# variables are volume and volume\n",
"# ==============================\n",
"# Test Sample --- 06.14.2024\n",
"# ==============================\n",
"sample_size = sample_test.shape[0]\n",
"print ('sample_size: ', sample_size)\n",
"\n",
"sl = 16 # <--- sequence length\n",
"batch = 10 # <--- batch size\n",
"n_features = 8 # <---- no. of variables\n",
"n_out = 1 # <----- no. of predicted variables\n",
"frwd = 1 # <--- how many to predict\n",
"\n",
"\n",
"# Trimming Indices !!!\n",
"# Marking selected rows\n",
"sample_test['Selected'] = 0\n",
"\n",
"# Selecting m random rows without replacement\n",
"np.random.seed(125)\n",
"selected_indices = np.random.choice(sample_test.index, size = batch, replace = False)\n",
"\n",
"sample_test.loc[selected_indices, 'Selected'] = 1 # print (sample_test[sample_test['Selected'] == 1])\n",
"chosen_idx1 = sample_test[sample_test['Selected'] == 1].index\n",
"chosen_idx2 = chosen_idx1[chosen_idx1 > sl]\n",
"\n",
"thrown_idx1 = chosen_idx1[chosen_idx1 <= sl]\n",
"cnt_thrown_idx1 = len(thrown_idx1)\n",
"\n",
"chosen_idx3 = chosen_idx2[chosen_idx2 < (sample_size - frwd)]\n",
"\n",
"thrown_idx2 = chosen_idx2[chosen_idx2 >= (sample_size - frwd)]\n",
"cnt_thrown_idx2 = len(thrown_idx2)\n",
"\n",
"cnt_thrown_idx = cnt_thrown_idx1 + cnt_thrown_idx2\n",
"\n",
"print (selected_indices)\n",
"\n",
"# all_ts_xrp = np.empty((1, )) # final input/output\n",
"# all_ts_eth = np.empty((1, )) # final input/output\n",
"# all_ts_ltc = np.empty((1, )) # final input/output\n",
"# all_ts_btc = np.empty((1, )) # final input/output\n",
"\n",
"\n",
"all_ts_close_xrp = np.empty((1, )) # final input/output\n",
"all_ts_close_eth = np.empty((1, )) # final input/output\n",
"all_ts_close_ltc = np.empty((1, )) # final input/output\n",
"all_ts_close_btc = np.empty((1, )) # final input/output\n",
"\n",
"all_ts_volume_xrp = np.empty((1, )) # final input/output\n",
"all_ts_volume_eth = np.empty((1, )) # final input/output\n",
"all_ts_volume_ltc = np.empty((1, )) # final input/output\n",
"all_ts_volume_btc = np.empty((1, )) # final input/output\n",
"\n",
"stdev_xrp = np.empty((1, )) # final input/output\n",
"stdev_eth = np.empty((1, )) # final input/output\n",
"stdev_ltc = np.empty((1, )) # final input/output\n",
"stdev_btc = np.empty((1, )) # final input/output\n",
"\n",
"\n",
"aft_ts_xrp = np.empty((1))\n",
"aft_ts_eth = np.empty((1))\n",
"aft_ts_ltc = np.empty((1))\n",
"aft_ts_btc = np.empty((1))\n",
"\n",
"for idx in chosen_idx3:\n",
" selected_rows_before = sample_test.iloc[max(0, idx-sl): idx]\n",
" selected_rows_after = sample_test.iloc[max(0, idx): idx+frwd]\n",
"\n",
" # xrp\n",
" sr_before_close_xrp = np.array(selected_rows_before['close_xrp'])\n",
" sr_after_close_xrp = np.array(selected_rows_after['close_xrp']) \n",
" # print (sr_before_close_xrp)\n",
" sr_before_volume_xrp = np.array(selected_rows_before['volume_xrp'])\n",
" sr_after_volume_xrp = np.array(selected_rows_after['volume_xrp']) \n",
" # print (sr_before_volume_xrp) \n",
" # Compute standard deviation\n",
" std_dev_xrp = np.std(sr_before_close_xrp)\n",
" std_dev_xrp_arr = np.repeat(std_dev_xrp, sl)\n",
" # print(std_dev_xrp_arr)\n",
" \n",
"# eth\n",
" sr_before_close_eth = np.array(selected_rows_before['close_eth'])\n",
" sr_after_close_eth = np.array(selected_rows_after['close_eth'])\n",
" sr_before_volume_eth = np.array(selected_rows_before['volume_eth'])\n",
" sr_after_volume_eth = np.array(selected_rows_after['volume_eth'])\n",
" # Compute standard deviation\n",
" std_dev_eth = np.std(sr_before_close_eth)\n",
" std_dev_eth_arr = np.repeat(std_dev_eth, sl)\n",
" # print(std_dev_eth_arr)\n",
" \n",
"# ltc\n",
" sr_before_close_ltc = np.array(selected_rows_before['close_ltc'])\n",
" sr_after_close_ltc = np.array(selected_rows_after['close_ltc'])\n",
" sr_before_volume_ltc = np.array(selected_rows_before['volume_ltc'])\n",
" sr_after_volume_ltc = np.array(selected_rows_after['volume_ltc'])\n",
"# Compute standard deviation\n",
" std_dev_ltc = np.std(sr_before_close_ltc)\n",
" std_dev_ltc_arr = np.repeat(std_dev_ltc, sl)\n",
" # print(std_dev_ltc_arr)\n",
"\n",
"# btc\n",
" sr_before_close_btc = np.array(selected_rows_before['close_btc'])\n",
" sr_after_close_btc = np.array(selected_rows_after['close_btc'])\n",
" sr_before_volume_btc = np.array(selected_rows_before['volume_btc'])\n",
" sr_after_volume_btc = np.array(selected_rows_after['volume_btc'])\n",
" # Compute standard deviation\n",
" std_dev_btc = np.std(sr_before_close_btc)\n",
" std_dev_btc_arr = np.repeat(std_dev_btc, sl)\n",
" # print(std_dev_btc_arr)\n",
"\n",
"# xrp\n",
" all_ts_close_xrp = np.concatenate((all_ts_close_xrp, sr_before_close_xrp))\n",
" all_ts_volume_xrp = np.concatenate((all_ts_volume_xrp, sr_before_volume_xrp))\n",
" stdev_xrp = np.concatenate((stdev_xrp, std_dev_xrp_arr))\n",
"# eth\n",
" all_ts_close_eth = np.concatenate((all_ts_close_eth, sr_before_close_eth))\n",
" all_ts_volume_eth = np.concatenate((all_ts_volume_eth, sr_before_volume_eth))\n",
" stdev_eth = np.concatenate((stdev_eth, std_dev_eth_arr))\n",
"# ltc\n",
" all_ts_close_ltc = np.concatenate((all_ts_close_ltc, sr_before_close_ltc))\n",
" all_ts_volume_ltc = np.concatenate((all_ts_volume_ltc, sr_before_volume_tc))\n",
" stdev_ltc = np.concatenate((stdev_ltc, std_dev_ltc_arr))\n",
"# btc\n",
" all_ts_close_btc = np.concatenate((all_ts_close_btc, sr_before_close_btc))\n",
" all_ts_volume_btc = np.concatenate((all_ts_volume_btc, sr_before_volume_btc))\n",
" stdev_btc = np.concatenate((stdev_btc, std_dev_btc_arr))\n",
"\n",
"\n",
" aft_ts_close_xrp = np.concatenate((aft_ts_close_xrp, sr_after_close_xrp))\n",
" aft_ts_close_eth = np.concatenate((aft_ts_close_eth, sr_after_close_eth))\n",
" aft_ts_close_ltc = np.concatenate((aft_ts_close_ltc, sr_after_close_ltc))\n",
" aft_ts_close_btc = np.concatenate((aft_ts_close_btc, sr_after_close_btc))\n",
"\n",
"\n",
"X_XRP_close = all_ts_close_xrp[1:]\n",
"X_XRP_volume = all_ts_volume_xrp[1:]\n",
"X_XRP_stdev = stdev_xrp[1:]\n",
"\n",
"\n",
"X_ETH_close = all_ts_close_eth[1:]\n",
"X_ETH_volume = all_ts_volume_eth[1:]\n",
"X_ETH_stdev = stdev_eth[1:]\n",
"\n",
"X_LTC_close = all_ts_close_ltc[1:]\n",
"X_LTC_volume = all_ts_volume_ltc[1:]\n",
"X_LTC_stdev = stdev_ltc[1:]\n",
"\n",
"X_BTC_close = all_ts_close_btc[1:]\n",
"X_BTC_volume = all_ts_volume_btc[1:]\n",
"X_BTC_stdev = stdev_btc[1:]\n",
"\n",
"X0 = np.column_stack((X_XRP_close, X_XRP_volume, \n",
" X_ETH_close, X_ETH_volume, \n",
" X_LTC_close, X_LTC_volume, \n",
" X_BTC_close, X_BTC_volume))\n",
"print (X0)\n",
"\n",
"# ======== Model Input =========\n",
"X = X0.reshape(batch-cnt_thrown_idx, sl, n_features)\n",
"print ('XXXX ====== Actual Input ====== XXXX')\n",
"print (X.shape)\n",
"\n",
"y_XRP = aft_ts_xrp[1:]\n",
"y_ETH = aft_ts_eth[1:]\n",
"y_LTC = aft_ts_ltc[1:]\n",
"y_BTC = aft_ts_btc[1:]\n",
"\n",
"y = np.column_stack((y_XRP, y_ETH, y_LTC, y_BTC))\n",
"print (y)\n",
"\n",
"y = y_BTC.reshape(batch-cnt_thrown_idx, frwd, n_out)\n",
"# print ('YYYY ====== Actual Input ====== YYYY')\n",
"print (y.shape)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "47d6927d-9021-4a56-9e52-ee2061bd5979",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.11.0rc1"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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