{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "improved_modeling.ipynb", "provenance": [], "collapsed_sections": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" }, "accelerator": "TPU", "gpuClass": "standard" }, "cells": [ { "cell_type": "markdown", "source": [ "# Dynamics of Disease Transmission and Human Behavior Project\n", "## CS109B: Advanced Topics in Data Science\n", "\n", "\n", "\n", "**Harvard University**
\n", "**Spring 2022**
\n", "**Team members**: Di Zhen, Yujie Zhang, and Xinyun Stacy Li\n", "\n", "\n", "
" ], "metadata": { "id": "ihdrICPFVrtL" } }, { "cell_type": "markdown", "source": [ "# 1. Introduction\n", "COVID-19 has caused a global impact since its outbreak in 2019. Various of efforts have been spent to predict and prevent the transmission of the virus. Some conducted time-series predicting of COVID-19 cases and deaths based on daily confirmed cases and deaths using deep neural network (Alassafi, Madini O et al., 2022). Others also incorporated features indicating human interactions, human mobility, and socioeconomic compositions of countries to make the prediction (Vahedi, B., Karimzadeh, M. & Zoraghein, H., 2021). Here in this project, we explored and examined the effectiveness of predicting COVID-19 cases using Google trends. Given its potentially sensitive and fast reaction, Google trend pattern could provide important signals for the following changes in the number of COVID-19 cases and deaths. \n", "\n", "\n", "We have two goals to achieve:\n", "1. Use the Google search activity trends data within a certain window to predict the COVID-19 confirmed cases trends.\n", "\n", "1. Recognize the complications of COVID-19 through Google search trends. This secondary goal can be achieved by interpreting the model for the first goal and identify important features. \n", "\n", "1. Test the generalizability of the model (cross-states, cross-diseases)\n", "\n", "We propose applying neural network models including simple RNN, LSTM, and bidirectional LSTM to predict the confirmed COVID-19 cases for the following 7 days based on the Google trend data within 2 weeks. We focus on predictions for three states including California, New York, and Massachusetts, which are metropolitan representatives of the eastern and western U.S. The large populations in these states provide a clear picture of the transmission pattern of the virus over time. Moreover, we are also interested in the most predictive trends for these states and whether the model built from one state could generalize to the other two states." ], "metadata": { "id": "Pzc0C2aTs9md" } }, { "cell_type": "code", "source": [ "import os\n", "import random as rn\n", "import tensorflow as tf\n", "import pandas as pd\n", "import numpy as np\n", "import missingno as meso\n", "import seaborn as sns\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "from sklearn.impute import KNNImputer\n", "from scipy.stats import spearmanr\n", "from sklearn.preprocessing import StandardScaler\n", "\n", "from tensorflow.keras.models import Sequential\n", "from tensorflow.keras.layers import SimpleRNN, LSTM, GRU, Dense, Flatten, Dropout, Bidirectional, TimeDistributed, Conv1D, MaxPool1D, BatchNormalization\n", "from tensorflow.keras.optimizers import Adam\n", "from tensorflow.keras.callbacks import EarlyStopping, ReduceLROnPlateau, ModelCheckpoint, LambdaCallback\n", "from sklearn.preprocessing import StandardScaler, MinMaxScaler\n", "\n", "from sklearn.metrics import mean_squared_error\n", "from sklearn.tree import DecisionTreeClassifier\n", "from sklearn.model_selection import cross_validate, GridSearchCV\n", "\n", "# Import class for reservoir computing\n", "# from pyESN import ESN # Written by user cknd: https://github.com/cknd/pyESN\n", "# from keras.models import Sequential\n", "# from keras.layers import Dense\n", "# from keras.layers import Flatten\n", "# from keras.layers.convolutional import Conv1D\n", "# from keras.layers.convolutional import MaxPooling1D\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "from google.colab import drive\n", "drive.mount(\"/content/drive\")" ], "metadata": { "id": "LgrN9dSUQjst", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "d1f88b43-1653-4ac1-fb36-68b1192b5e83" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Mounted at /content/drive\n" ] } ] }, { "cell_type": "code", "source": [ "os.environ['PYTHONHASHSEED'] = '0'\n", "os.environ['CUDA_VISIBLE_DEVICES'] = ''\n", "tf.random.set_seed(109)\n", "np.random.seed(109)\n", "rn.seed(109)" ], "metadata": { "id": "OE6uEndDXE-h" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "# 2. Exploratory Data Analysis (EDA), Data Cleaning, and Feature Selection\n", "\n", "\n", "The data we are working on contains a set of time-series records spanned nearly two years where each set corresponds to a state. This data is also used by another group for early COVID-19 warning approach (Kogan, Nicole E et al., 2021). The features of the data are mainly Google trends patterns for a suite of COVID-19-related terms. The data also contains dates, JHU confirmed COVID-19 cases, deaths and hospitalization. JHU-cases are the reported COVID-19 cases on the John Hopkins platform. Same with deaths and hospitalizations." ], "metadata": { "id": "bu_iQB-JZJhk" } }, { "cell_type": "markdown", "source": [ "## Load packages and three datasets from California, New York, and Massachusetts\n" ], "metadata": { "id": "R3rGiMR9btOU" } }, { "cell_type": "code", "metadata": { "id": "GFqnsu8ulNw7" }, "source": [ "california = pd.read_csv(\"./drive/MyDrive/CS109 Project/state_level_data/California.csv\",parse_dates=['date'],index_col=['date'])\n", "new_york = pd.read_csv(\"./drive/MyDrive/CS109 Project/state_level_data/New York.csv\",parse_dates=['date'],index_col=['date'])\n", "ma = pd.read_csv(\"./drive/MyDrive/CS109 Project/state_level_data/Massachusetts.csv\",parse_dates=['date'],index_col=['date'])" ], "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "print(california.tail(10)) # remove the final 5 days since it's NA\n", "print(new_york.tail(10)) # remove the final 5 days since it's NA\n", "print(ma.tail(10)) # remove the final 5 days since it's NA" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "A4TtvhTOuSlR", "outputId": "1755cdfe-9852-446f-960b-b5a0d74e941d" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " JHU_cases JHU_deaths JHU_hospitalizations up2date \\\n", "date \n", "2022-01-04 76786.0 94.0 1679.0 NaN \n", "2022-01-05 39356.0 126.0 1768.0 NaN \n", "2022-01-06 86590.0 32.0 1950.0 NaN \n", "2022-01-07 108391.0 234.0 1950.0 NaN \n", "2022-01-08 34364.0 17.0 1973.0 NaN \n", "2022-01-09 NaN NaN NaN NaN \n", "2022-01-10 NaN NaN NaN NaN \n", "2022-01-11 NaN NaN NaN NaN \n", "2022-01-12 NaN NaN NaN NaN \n", "2022-01-13 NaN NaN NaN NaN \n", "\n", " gt_after covid vaccine gt_side effects of vaccine \\\n", "date \n", "2022-01-04 606.538018 76.071071 \n", "2022-01-05 893.467782 149.409817 \n", "2022-01-06 1421.963705 225.272227 \n", "2022-01-07 1297.019835 153.101406 \n", "2022-01-08 572.753638 246.287607 \n", "2022-01-09 1036.271881 79.980083 \n", "2022-01-10 501.666380 359.532743 \n", "2022-01-11 737.261085 221.918779 \n", "2022-01-12 978.821343 151.092032 \n", "2022-01-13 984.362561 75.973690 \n", "\n", " gt_effects of covid vaccine gt_covid \\\n", "date \n", "2022-01-04 227.642128 265601.963427 \n", "2022-01-05 74.517966 279350.860227 \n", "2022-01-06 74.902834 255423.889506 \n", "2022-01-07 229.077425 247917.601107 \n", "2022-01-08 163.780862 224845.931548 \n", "2022-01-09 0.000000 191709.747309 \n", "2022-01-10 215.179826 222023.793840 \n", "2022-01-11 73.787815 224041.563172 \n", "2022-01-12 150.713937 204037.539213 \n", "2022-01-13 0.000000 189624.711109 \n", "\n", " gt_how long does covid last gt_anosmia ... \\\n", "date ... \n", "2022-01-04 1218.650070 76.101725 ... \n", "2022-01-05 1346.359843 74.735013 ... \n", "2022-01-06 977.393073 150.242004 ... \n", "2022-01-07 1762.854735 0.000000 ... \n", "2022-01-08 904.177084 82.128952 ... \n", "2022-01-09 880.874506 0.000000 ... \n", "2022-01-10 719.959308 0.000000 ... \n", "2022-01-11 1185.038030 0.000000 ... \n", "2022-01-12 453.839532 0.000000 ... \n", "2022-01-13 1141.021922 0.000000 ... \n", "\n", " neighbor_South Dakota neighbor_Tennessee neighbor_Texas \\\n", "date \n", "2022-01-04 3047.0 9230.0 53543.0 \n", "2022-01-05 2254.0 0.0 47266.0 \n", "2022-01-06 2183.0 0.0 45375.0 \n", "2022-01-07 1944.0 0.0 52571.0 \n", "2022-01-08 0.0 0.0 49690.0 \n", "2022-01-09 NaN NaN NaN \n", "2022-01-10 NaN NaN NaN \n", "2022-01-11 NaN NaN NaN \n", "2022-01-12 NaN NaN NaN \n", "2022-01-13 NaN NaN NaN \n", "\n", " neighbor_Utah neighbor_Vermont neighbor_Virginia \\\n", "date \n", "2022-01-04 4661.0 1731.0 17395.0 \n", "2022-01-05 7247.0 805.0 10728.0 \n", "2022-01-06 8913.0 2180.0 15840.0 \n", "2022-01-07 9469.0 1860.0 18309.0 \n", "2022-01-08 0.0 2619.0 0.0 \n", "2022-01-09 NaN NaN NaN \n", "2022-01-10 NaN NaN NaN \n", "2022-01-11 NaN NaN NaN \n", "2022-01-12 NaN NaN NaN \n", "2022-01-13 NaN NaN NaN \n", "\n", " neighbor_Washington neighbor_West Virginia neighbor_Wisconsin \\\n", "date \n", "2022-01-04 6192.0 2353.0 9934.0 \n", "2022-01-05 10700.0 2928.0 13760.0 \n", "2022-01-06 14944.0 4947.0 14454.0 \n", "2022-01-07 17091.0 4134.0 15562.0 \n", "2022-01-08 0.0 4184.0 0.0 \n", "2022-01-09 NaN NaN NaN \n", "2022-01-10 NaN NaN NaN \n", "2022-01-11 NaN NaN NaN \n", "2022-01-12 NaN NaN NaN \n", "2022-01-13 NaN NaN NaN \n", "\n", " neighbor_Wyoming \n", "date \n", "2022-01-04 746.0 \n", "2022-01-05 709.0 \n", "2022-01-06 995.0 \n", "2022-01-07 764.0 \n", "2022-01-08 0.0 \n", "2022-01-09 NaN \n", "2022-01-10 NaN \n", "2022-01-11 NaN \n", "2022-01-12 NaN \n", "2022-01-13 NaN \n", "\n", "[10 rows x 498 columns]\n", " JHU_cases JHU_deaths JHU_hospitalizations up2date \\\n", "date \n", "2022-01-04 52247.0 105.0 1789.0 NaN \n", "2022-01-05 76000.0 158.0 1810.0 NaN \n", "2022-01-06 78267.0 143.0 1822.0 NaN \n", "2022-01-07 85079.0 190.0 1821.0 NaN \n", "2022-01-08 81388.0 85.0 1681.0 NaN \n", "2022-01-09 NaN NaN NaN NaN \n", "2022-01-10 NaN NaN NaN NaN \n", "2022-01-11 NaN NaN NaN NaN \n", "2022-01-12 NaN NaN NaN NaN \n", "2022-01-13 NaN NaN NaN NaN \n", "\n", " gt_after covid vaccine gt_side effects of vaccine \\\n", "date \n", "2022-01-04 1581.301166 131.829535 \n", "2022-01-05 510.041393 0.000000 \n", "2022-01-06 920.825937 460.603169 \n", "2022-01-07 608.729289 0.000000 \n", "2022-01-08 1172.583083 293.266872 \n", "2022-01-09 1544.561417 0.000000 \n", "2022-01-10 1175.166324 117.565179 \n", "2022-01-11 766.103236 127.736620 \n", "2022-01-12 790.487196 98.851719 \n", "2022-01-13 845.471330 241.663029 \n", "\n", " gt_effects of covid vaccine gt_covid \\\n", "date \n", "2022-01-04 131.775834 225601.935643 \n", "2022-01-05 204.017698 169249.705743 \n", "2022-01-06 230.207772 158841.078908 \n", "2022-01-07 121.746539 138387.934333 \n", "2022-01-08 0.000000 132848.514301 \n", "2022-01-09 0.000000 136647.438751 \n", "2022-01-10 117.517290 131237.074798 \n", "2022-01-11 127.684587 138644.647324 \n", "2022-01-12 98.811452 93499.706225 \n", "2022-01-13 241.564588 112362.571589 \n", "\n", " gt_how long does covid last gt_anosmia ... \\\n", "date ... \n", "2022-01-04 657.236283 0.000000 ... \n", "2022-01-05 1322.808426 102.008051 ... \n", "2022-01-06 1377.802550 230.205971 ... \n", "2022-01-07 607.214844 0.000000 ... \n", "2022-01-08 1023.457608 0.000000 ... \n", "2022-01-09 840.392037 0.000000 ... \n", "2022-01-10 586.121326 0.000000 ... \n", "2022-01-11 254.732421 0.000000 ... \n", "2022-01-12 492.825349 98.810679 ... \n", "2022-01-13 963.849027 0.000000 ... \n", "\n", " neighbor_South Dakota neighbor_Tennessee neighbor_Texas \\\n", "date \n", "2022-01-04 3047.0 9230.0 53543.0 \n", "2022-01-05 2254.0 0.0 47266.0 \n", "2022-01-06 2183.0 0.0 45375.0 \n", "2022-01-07 1944.0 0.0 52571.0 \n", "2022-01-08 0.0 0.0 49690.0 \n", "2022-01-09 NaN NaN NaN \n", "2022-01-10 NaN NaN NaN \n", "2022-01-11 NaN NaN NaN \n", "2022-01-12 NaN NaN NaN \n", "2022-01-13 NaN NaN NaN \n", "\n", " neighbor_Utah neighbor_Vermont neighbor_Virginia \\\n", "date \n", "2022-01-04 4661.0 1731.0 17395.0 \n", "2022-01-05 7247.0 805.0 10728.0 \n", "2022-01-06 8913.0 2180.0 15840.0 \n", "2022-01-07 9469.0 1860.0 18309.0 \n", "2022-01-08 0.0 2619.0 0.0 \n", "2022-01-09 NaN NaN NaN \n", "2022-01-10 NaN NaN NaN \n", "2022-01-11 NaN NaN NaN \n", "2022-01-12 NaN NaN NaN \n", "2022-01-13 NaN NaN NaN \n", "\n", " neighbor_Washington neighbor_West Virginia neighbor_Wisconsin \\\n", "date \n", "2022-01-04 6192.0 2353.0 9934.0 \n", "2022-01-05 10700.0 2928.0 13760.0 \n", "2022-01-06 14944.0 4947.0 14454.0 \n", "2022-01-07 17091.0 4134.0 15562.0 \n", "2022-01-08 0.0 4184.0 0.0 \n", "2022-01-09 NaN NaN NaN \n", "2022-01-10 NaN NaN NaN \n", "2022-01-11 NaN NaN NaN \n", "2022-01-12 NaN NaN NaN \n", "2022-01-13 NaN NaN NaN \n", "\n", " neighbor_Wyoming \n", "date \n", "2022-01-04 746.0 \n", "2022-01-05 709.0 \n", "2022-01-06 995.0 \n", "2022-01-07 764.0 \n", "2022-01-08 0.0 \n", "2022-01-09 NaN \n", "2022-01-10 NaN \n", "2022-01-11 NaN \n", "2022-01-12 NaN \n", "2022-01-13 NaN \n", "\n", "[10 rows x 498 columns]\n", " JHU_cases JHU_deaths JHU_hospitalizations up2date \\\n", "date \n", "2022-01-04 18845.0 95.0 387.0 NaN \n", "2022-01-05 30805.0 54.0 404.0 NaN \n", "2022-01-06 27411.0 46.0 415.0 NaN \n", "2022-01-07 29163.0 58.0 415.0 NaN \n", "2022-01-08 0.0 0.0 374.0 NaN \n", "2022-01-09 NaN NaN NaN NaN \n", "2022-01-10 NaN NaN NaN NaN \n", "2022-01-11 NaN NaN NaN NaN \n", "2022-01-12 NaN NaN NaN NaN \n", "2022-01-13 NaN NaN NaN NaN \n", "\n", " gt_after covid vaccine gt_side effects of vaccine \\\n", "date \n", "2022-01-04 1937.449656 0.000000 \n", "2022-01-05 769.319435 0.000000 \n", "2022-01-06 1539.434075 0.000000 \n", "2022-01-07 392.985324 392.823030 \n", "2022-01-08 1716.128865 0.000000 \n", "2022-01-09 1219.735432 0.000000 \n", "2022-01-10 1123.009909 748.364087 \n", "2022-01-11 376.241450 0.000000 \n", "2022-01-12 1167.021276 388.846441 \n", "2022-01-13 1597.981741 0.000000 \n", "\n", " gt_effects of covid vaccine gt_covid \\\n", "date \n", "2022-01-04 0.000000 316040.458308 \n", "2022-01-05 387.071265 279639.120596 \n", "2022-01-06 0.000000 255637.932912 \n", "2022-01-07 395.449067 210159.476078 \n", "2022-01-08 0.000000 201664.875490 \n", "2022-01-09 0.000000 185037.155838 \n", "2022-01-10 376.683465 204287.244747 \n", "2022-01-11 0.000000 195959.664432 \n", "2022-01-12 391.445894 199896.679345 \n", "2022-01-13 0.000000 169082.675205 \n", "\n", " gt_how long does covid last gt_anosmia ... \\\n", "date ... \n", "2022-01-04 1162.954522 0.000000 ... \n", "2022-01-05 769.640227 0.000000 ... \n", "2022-01-06 2695.132985 384.060527 ... \n", "2022-01-07 1965.745960 0.000000 ... \n", "2022-01-08 858.422230 0.000000 ... \n", "2022-01-09 813.496026 0.000000 ... \n", "2022-01-10 0.000000 0.000000 ... \n", "2022-01-11 1129.195006 0.000000 ... \n", "2022-01-12 1945.846504 0.000000 ... \n", "2022-01-13 1598.648070 0.000000 ... \n", "\n", " neighbor_South Dakota neighbor_Tennessee neighbor_Texas \\\n", "date \n", "2022-01-04 3047.0 9230.0 53543.0 \n", "2022-01-05 2254.0 0.0 47266.0 \n", "2022-01-06 2183.0 0.0 45375.0 \n", "2022-01-07 1944.0 0.0 52571.0 \n", "2022-01-08 0.0 0.0 49690.0 \n", "2022-01-09 NaN NaN NaN \n", "2022-01-10 NaN NaN NaN \n", "2022-01-11 NaN NaN NaN \n", "2022-01-12 NaN NaN NaN \n", "2022-01-13 NaN NaN NaN \n", "\n", " neighbor_Utah neighbor_Vermont neighbor_Virginia \\\n", "date \n", "2022-01-04 4661.0 1731.0 17395.0 \n", "2022-01-05 7247.0 805.0 10728.0 \n", "2022-01-06 8913.0 2180.0 15840.0 \n", "2022-01-07 9469.0 1860.0 18309.0 \n", "2022-01-08 0.0 2619.0 0.0 \n", "2022-01-09 NaN NaN NaN \n", "2022-01-10 NaN NaN NaN \n", "2022-01-11 NaN NaN NaN \n", "2022-01-12 NaN NaN NaN \n", "2022-01-13 NaN NaN NaN \n", "\n", " neighbor_Washington neighbor_West Virginia neighbor_Wisconsin \\\n", "date \n", "2022-01-04 6192.0 2353.0 9934.0 \n", "2022-01-05 10700.0 2928.0 13760.0 \n", "2022-01-06 14944.0 4947.0 14454.0 \n", "2022-01-07 17091.0 4134.0 15562.0 \n", "2022-01-08 0.0 4184.0 0.0 \n", "2022-01-09 NaN NaN NaN \n", "2022-01-10 NaN NaN NaN \n", "2022-01-11 NaN NaN NaN \n", "2022-01-12 NaN NaN NaN \n", "2022-01-13 NaN NaN NaN \n", "\n", " neighbor_Wyoming \n", "date \n", "2022-01-04 746.0 \n", "2022-01-05 709.0 \n", "2022-01-06 995.0 \n", "2022-01-07 764.0 \n", "2022-01-08 0.0 \n", "2022-01-09 NaN \n", "2022-01-10 NaN \n", "2022-01-11 NaN \n", "2022-01-12 NaN \n", "2022-01-13 NaN \n", "\n", "[10 rows x 498 columns]\n" ] } ] }, { "cell_type": "code", "source": [ "california = california.iloc[:-5, :]\n", "new_york = new_york.iloc[:-5, :]\n", "ma = ma.iloc[:-5, :]" ], "metadata": { "id": "43FovDy4uwK6" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "## Have a glimps of the basic characteristics of the features in three datasets" ], "metadata": { "id": "dhpx-XO_Zmms" } }, { "cell_type": "code", "source": [ "california.describe()" ], "metadata": { "id": "ILnXJbfsQD_J", "colab": { "base_uri": 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JHU_casesJHU_deathsJHU_hospitalizationsup2dategt_after covid vaccinegt_side effects of vaccinegt_effects of covid vaccinegt_covidgt_how long does covid lastgt_anosmia...neighbor_South Dakotaneighbor_Tennesseeneighbor_Texasneighbor_Utahneighbor_Vermontneighbor_Virginianeighbor_Washingtonneighbor_West Virginianeighbor_Wisconsinneighbor_Wyoming
count718.000000718.000000545.000000405.000000739.000000739.000000739.000000739.000000739.000000739.000000...718.000000718.000000718.000000718.000000718.000000718.000000718.000000718.000000718.000000718.000000
mean1782.62952628.64624095.385321205.6064501259.189524320.039049179.927457105515.003634286.69089935.198203...263.8036212037.5988866963.263231949.910864106.4359331700.6072421296.756267495.6434541651.902507166.931755
std3216.08023738.87580284.255750152.4652061982.132662538.107816387.77648454954.359511432.199234142.216509...377.7905663500.6538039728.7628111276.364174238.2981402672.7922762221.208234696.1257032286.520080248.876616
min-280.000000-41.0000000.0000000.6418650.0000000.0000000.0000000.0000000.0000000.000000...-4.000000-42.0000000.0000000.000000-1.000000-232.000000-39.000000-4.0000000.000000-8.000000
25%177.0000004.00000033.00000086.1102790.0000000.0000000.00000073935.0254570.0000000.000000...8.00000080.2500001405.250000164.0000004.000000338.500000179.00000037.250000170.0000004.000000
50%844.50000016.00000071.000000158.658515394.1016400.0000000.000000103733.3718630.0000000.000000...103.0000001138.5000004353.500000469.50000028.500000985.000000662.000000245.000000722.50000059.000000
75%2104.25000037.750000114.000000331.8853711683.065283533.9009960.000000135524.614482523.6854630.000000...391.7500002448.2500009097.2500001342.250000133.0000001947.5000001644.750000800.5000002457.750000214.000000
max33090.000000302.000000415.000000733.95311011797.2302353703.7017402755.424717326875.8619982695.1329851285.819388...3047.00000041464.000000162871.00000014754.0000002779.00000040246.00000033069.0000009164.00000016956.0000001541.000000
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8 rows × 498 columns

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\n", " " ] }, "metadata": {}, "execution_count": 8 } ] }, { "cell_type": "code", "source": [ "california.shape, new_york.shape, ma.shape" ], "metadata": { "id": "9BcvDapDBD5E", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "f3ae4949-85c7-4cd8-8e21-aa3154ac7cb8" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "((739, 498), (739, 498), (739, 498))" ] }, "metadata": {}, "execution_count": 9 } ] }, { "cell_type": "markdown", "source": [ "## Plot the number of cases, deaths and hospitalizations of COVID-19 against time for each state\n", "In order to visualize the trend of COVID-19 cases from Jan 2020, the beginning of the dataset, to Jan 2022, the end of the dataset, we made the following plots for the three states. We noticed that there were negative numbers of cases in the plot, which were likely to be errors in the record. We changed them to 0s later in the data cleaning." ], "metadata": { "id": "TSmpSscraQze" } }, { "cell_type": "code", "source": [ "fig,axs = plt.subplots(3,1, figsize = (12,15))\n", "axs[0].plot(california.index.values, california['JHU_cases'])\n", "axs[1].plot(new_york.index.values, new_york['JHU_cases'])\n", "axs[2].plot(ma.index.values, ma['JHU_cases'])\n", "for i in range(3):\n", " axs[i].set_xlabel('Time')\n", "axs[0].set_ylabel('Cases')\n", "axs[1].set_ylabel('Cases')\n", "axs[2].set_ylabel('Cases')\n", "axs[0].set_title('COVID-19 cases over time in California')\n", "axs[1].set_title('COVID-19 cases over time in New York')\n", "axs[2].set_title('COVID-19 cases over time in Massachusetts')\n" ], "metadata": { "id": "vMtiNGSU_sAX", "colab": { "base_uri": "https://localhost:8080/", "height": 910 }, "outputId": "54913c6f-a6bf-4988-82c0-f63db8c72a51" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "Text(0.5, 1.0, 'COVID-19 cases over time in Massachusetts')" ] }, "metadata": {}, "execution_count": 10 }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": [ "## Visualize the distribution of missing values in the features for three states\n", "A bunch of features missing after the first year. We removed them later in the data cleaning since their missingness was too high." ], "metadata": { "id": "uUG_uur4avJD" } }, { "cell_type": "code", "source": [ "meso.matrix(california)" ], "metadata": { "id": "jCFcVHKBbgn3", "colab": { "base_uri": "https://localhost:8080/", "height": 523 }, "outputId": "92ba295c-5f9b-49bc-9be8-8644d0f50509" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 11 }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "meso.matrix(new_york.iloc[:,:200])" ], "metadata": { "id": "i3AQ1QQbBr0L", "colab": { "base_uri": "https://localhost:8080/", "height": 523 }, "outputId": "19a876f3-83e8-4a8a-b1aa-5944a5498a56" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 12 }, { "output_type": "display_data", "data": { "text/plain": [ "
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}, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "meso.matrix(ma.iloc[:,:200])" ], "metadata": { "id": "ehYCbdvNLzTH", "colab": { "base_uri": "https://localhost:8080/", "height": 523 }, "outputId": "fd915d64-0df9-4680-f0dc-425b90fe4bec" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 13 }, { "output_type": "display_data", "data": { "text/plain": [ "
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}, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": [ "\n", "## Drop features with large missing values and flip the sign of negative cases\n", "\n", "We chose to drop features with more than roughly 20% (100) missing values. After that, we lost 88 features, which wasn't a huge deduction compared to the total number of features we had. We didn't lose a lot of information here.\n", "\n", "We observed that most of NAs are at the beginning of the padamic, so we believe the number of cases/deaths are 0 or close to 0. Therefore, we decided to replace nan with 0 in cases/deaths. We also flipped the sign of negative number of cases with 0s, because they are likely to be erroneous data." ], "metadata": { "id": "NKBcKfZ_q9Tg" } }, { "cell_type": "code", "source": [ "for state in [california, new_york, ma]:\n", " state['JHU_cases']=state['JHU_cases'].fillna(0)\n", " print(state['JHU_cases'][state['JHU_cases'] < 0])" ], "metadata": { "id": "HanPBvRRNENg", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "13e3e8de-b428-471e-dc0e-768bc9087155" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "date\n", "2020-03-29 -2019.0\n", "2021-06-29 -3935.0\n", "Name: JHU_cases, dtype: float64\n", "Series([], Name: JHU_cases, dtype: float64)\n", "date\n", "2020-09-03 -280.0\n", "Name: JHU_cases, dtype: float64\n" ] } ] }, { "cell_type": "code", "source": [ "california['JHU_cases'][california['JHU_cases'] == -2019.0] = 2019.0\n", "california['JHU_cases'][california['JHU_cases'] == -3935.0] = 3935.0\n", "ma['JHU_cases'][ma['JHU_cases'] == -280.0] = 280" ], "metadata": { "id": "oLWqc_EPvYWl" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "california.shape, new_york.shape, ma.shape" ], "metadata": { "id": "5QyBPkXoO3gR", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "5ecd7904-be47-4480-8cd0-6172832db527" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "((739, 498), (739, 498), (739, 498))" ] }, "metadata": {}, "execution_count": 16 } ] }, { "cell_type": "markdown", "source": [ "\n", "## Sanity check the cleaning step by visualization\n", "\n", "After data cleaning, we plotted the number of cases of all three states against time to check that all cases were positive and had similar trend." ], "metadata": { "id": "ADbXo3WNjmcE" } }, { "cell_type": "code", "source": [ "fig = plt.subplots(1,1, figsize = (18,8))\n", "plt.plot(california.index.values,california['JHU_cases'],label=\"California\")\n", "plt.plot(new_york.index.values,new_york['JHU_cases'],label=\"New York\")\n", "plt.plot(ma.index.values,ma['JHU_cases'],label=\"Massachusetts\")\n", "plt.xlabel('Time')\n", "plt.ylabel('Cases')\n", "plt.title('COVID-19 cases over time')\n", "plt.legend()" ], "metadata": { "id": "LcZZKGVaVYCD", "colab": { "base_uri": "https://localhost:8080/", "height": 530 }, "outputId": "9f14ce9b-508d-4869-af16-643400ed5526" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 17 }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": [ "## Prepare feature table and smooth data using rolling mean of new cases\n", "\n", "We prepared feature table containing only Google Trends. We noticed that the confirmed case data was very ridged. Thus, in order to help the model learn and predict the true trend rather than being distracted by those jagged lines, we smoothed the outcome data using rolling mean of new cases with a window size of 5." ], "metadata": { "id": "Sc_rAbjBvKr9" } }, { "cell_type": "code", "source": [ "#separate feature and outcome tables\n", "cali_features=california.iloc[:,2:]\n", "cali_outcomes=california.iloc[:,0]\n", "ny_features=new_york.iloc[:,2:]\n", "ny_outcomes=new_york.iloc[:,0]\n", "ma_features=ma.iloc[:,2:]\n", "ma_outcomes=ma.iloc[:,0]\n", "\n", "#extract only google trend features\n", "gt_cols=[]\n", "for col in cali_features.columns:\n", " if \"gt_\" in col or \"gt2_\" in col:\n", " gt_cols.append(col)\n", "cali_gt=cali_features[gt_cols]\n", "\n", "gt_cols=[]\n", "for col in ny_features.columns:\n", " if \"gt_\" in col or \"gt2_\" in col:\n", " gt_cols.append(col)\n", "ny_gt=ny_features[gt_cols]\n", "\n", "gt_cols=[]\n", "for col in ma_features.columns:\n", " if \"gt_\" in col or \"gt2_\" in col:\n", " gt_cols.append(col)\n", "ma_gt=ma_features[gt_cols]" ], "metadata": { "id": "MrbC3wvOxnGm" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Window == number of days in rolling window over which to calculate mean\n", "window = 5\n", "cali_outcomes = cali_outcomes.transform(lambda x: x.rolling(window).mean())\n", "ny_outcomes = ny_outcomes.transform(lambda x: x.rolling(window).mean())\n", "ma_outcomes = ma_outcomes.transform(lambda x: x.rolling(window).mean())" ], "metadata": { "id": "PAnY4iAd63kT" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "cali_outcomes = cali_outcomes.fillna(0)\n", "ny_outcomes = ny_outcomes.fillna(0)\n", "ma_outcomes = ma_outcomes.fillna(0)" ], "metadata": { "id": "07yYhMiGwZPT" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "## Standardize the cases based on the population in the three states\n", "\n", "**After standardization, the unit of our outcome became cases/1e5 people.**\n", "\n", "Population data referred to: Bureau, US. \"State Population Totals And Components Of Change: 2020-2021\". Census.Gov, 2022, https://www.census.gov/data/tables/time-series/demo/popest/2020s-state-total.html." ], "metadata": { "id": "rLw4W1gLytTE" } }, { "cell_type": "code", "source": [ "# cali_outcomes=cali_outcomes.apply(lambda x: x*100000/39499738)\n", "# ny_outcomes=ny_outcomes.apply(lambda x: x*100000/20154933)\n", "# ma_outcomes=ma_outcomes.apply(lambda x: x*100000/7022220)" ], "metadata": { "id": "_LHv3roQEthz" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Sanity check smoothing & standardization step by visualization. We plotted the number of cases for three states against time after smoothing and standardization." ], "metadata": { "id": "dm6WzShDzZ1_" } }, { "cell_type": "code", "source": [ "fig = plt.subplots(1,1, figsize = (18,8))\n", "plt.plot(california.index.values,cali_outcomes,label=\"California\")\n", "plt.plot(new_york.index.values,ny_outcomes,label=\"New York\")\n", "plt.plot(ma.index.values,ma_outcomes,label=\"Massachusetts\")\n", "plt.xlabel('Time')\n", "plt.ylabel('Cases')\n", "plt.title('COVID-19 cases over time')\n", "plt.legend()" ], "metadata": { "id": "DS1duxvBF7rg", "colab": { "base_uri": "https://localhost:8080/", "height": 530 }, "outputId": "cbcea9ec-2426-4d56-daf7-9ab33ea556bd" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 22 }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": [ "## Data Transformation\n", "\n", "Taking the log transformation so that the time series could be more stationary." ], "metadata": { "id": "1m0az5SOv-F7" } }, { "cell_type": "code", "source": [ "log_cali_outcomes = np.log(cali_outcomes+1)\n", "log_ny_outcomes = np.log(ny_outcomes+1)\n", "log_ma_outcomes = np.log(ma_outcomes+1)" ], "metadata": { "id": "N5apotihwUBG" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "fig = plt.subplots(1,1, figsize = (18,8))\n", "plt.plot(california.index.values,log_cali_outcomes,label=\"California\")\n", "plt.plot(new_york.index.values,log_ny_outcomes,label=\"New York\")\n", "plt.plot(ma.index.values,log_ma_outcomes,label=\"Massachusetts\")\n", "plt.xlabel('Time')\n", "plt.ylabel('Log Cases')\n", "plt.title('Log COVID-19 cases over time')\n", "plt.legend()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 530 }, "id": "4epvWHAbwzsP", "outputId": "8c482270-a525-4c23-858a-f64022a3821d" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 24 }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": [ "## Data Imputation \n", "\n", "We imputed the remaining missing value in all features by using KNN imputer. " ], "metadata": { "id": "ffXHy9o8l-wU" } }, { "cell_type": "code", "source": [ "#imputation using KNN\n", "col_names=cali_gt.columns\n", "imputer = KNNImputer(n_neighbors=5, weights='uniform', metric='nan_euclidean')\n", "imputer.fit(cali_gt)\n", "imputed_data = imputer.transform(cali_gt)\n", "imputed_cali_gt = pd.DataFrame(imputed_data,columns=col_names)\n", "\n", "col_names=ny_gt.columns\n", "imputer.fit(ny_gt)\n", "imputed_data = imputer.transform(ny_gt)\n", "imputed_ny_gt = pd.DataFrame(imputed_data,columns=col_names)\n", "\n", "col_names=ma_gt.columns\n", "imputer.fit(ma_gt)\n", "imputed_data = imputer.transform(ma_gt)\n", "imputed_ma_gt = pd.DataFrame(imputed_data,columns=col_names)" ], "metadata": { "id": "PuVygrOzvrEx" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "## Drop highly correlated features common among all three datasets\n", "\n", "As a part of feature selection step, we dropped highly correlated features common among all three daatsets to reduce data dimensionallity, so as to reduce computation cost and improve model performance." ], "metadata": { "id": "UzFmbf74gPbB" } }, { "cell_type": "code", "source": [ "#Drop highly correlated features common among all three datasets\n", "imputed_cali_gt=imputed_cali_gt.drop(['gt2_Acute bronchitis','gt2_Cough',\"gt2_Bell's palsy\"],axis=1)\n", "imputed_ny_gt=imputed_ny_gt.drop(['gt2_Acute bronchitis','gt2_Cough',\"gt2_Bell's palsy\"],axis=1)\n", "imputed_ma_gt=imputed_ma_gt.drop(['gt2_Acute bronchitis','gt2_Cough',\"gt2_Bell's palsy\"],axis=1)" ], "metadata": { "id": "JLQuN2RN9Vlx" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "imputed_cali_gt.shape, imputed_ny_gt.shape, imputed_ma_gt.shape" ], "metadata": { "id": "Mur_HBI9ERRc", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "c2833f96-cb81-44b0-82b1-d28d708846de" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "((739, 442), (739, 442), (739, 442))" ] }, "metadata": {}, "execution_count": 27 } ] }, { "cell_type": "code", "source": [ "log_cali_outcomes.shape, log_ny_outcomes.shape, log_ma_outcomes.shape" ], "metadata": { "id": "2ayy4aj7GaFK", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "784f17cd-f473-490f-9579-e4e03bf2b68d" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "((739,), (739,), (739,))" ] }, "metadata": {}, "execution_count": 28 } ] }, { "cell_type": "code", "source": [ "log_cali_outcomes" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "S67gd7I_Rj32", "outputId": "65565299-93ac-468a-a273-87bd728a4aef" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "date\n", "2020-01-01 0.000000\n", "2020-01-02 0.000000\n", "2020-01-03 0.000000\n", "2020-01-04 0.000000\n", "2020-01-05 0.000000\n", " ... \n", "2022-01-04 10.965899\n", "2022-01-05 10.983685\n", "2022-01-06 11.241421\n", "2022-01-07 11.395935\n", "2022-01-08 11.143287\n", "Name: JHU_cases, Length: 739, dtype: float64" ] }, "metadata": {}, "execution_count": 29 } ] }, { "cell_type": "markdown", "source": [ "### Remove cubic trend" ], "metadata": { "id": "xt9QEmD-Re9c" } }, { "cell_type": "code", "source": [ "# # Define functions to calculate AIC and BIC\n", "# from scipy.stats import norm \n", "\n", "# def evaluate_AIC(k, residuals):\n", "# \"\"\"\n", "# Finds the AIC given the number of parameters estimated and \n", "# the residuals of the model. Assumes residuals are distributed \n", "# Gaussian with unknown variance. \n", "# \"\"\"\n", "# standard_deviation = np.std(residuals)\n", "# log_likelihood = norm.logpdf(residuals, 0, scale=standard_deviation)\n", "# return 2 * k - 2 * np.sum(log_likelihood)\n", "\n", "# def evaluate_BIC(k, residuals):\n", "# \"\"\"\n", "# Finds the AIC given the number of parameters estimated and \n", "# the residuals of the model. Assumes residuals are distributed \n", "# Gaussian with unknown variance. \n", "# \"\"\"\n", "# standard_deviation = np.std(residuals)\n", "# log_likelihood = norm.logpdf(residuals, 0, scale=standard_deviation)\n", "# return k * np.log(len(residuals)) - 2 * np.sum(log_likelihood)" ], "metadata": { "id": "KS1oBybuRron" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# # After linear fit, it seems like a higher order model is needed\n", "# from sklearn import linear_model\n", "# clf = linear_model.LinearRegression()\n", "# index_len = len(log_cali_outcomes.index.values)\n", "# index = np.linspace(1,index_len,index_len).reshape(-1,1)\n", "\n", "# new_x = np.hstack((index, index ** 2, index ** 3))\n", "# clf.fit(new_x, log_cali_outcomes)\n", "# print(clf.coef_) \n", "# cubic_prediction = clf.predict(new_x)\n", "\n", "# fig, axs = plt.subplots(2,1, figsize=(12,12))\n", "# axs[0].plot(california.index.values, log_cali_outcomes, label='log COVID-19 cases (original data)')\n", "# axs[0].plot(california.index.values, cubic_prediction, 'r', label='fitted line')\n", "# axs[0].legend()\n", "# axs[0].set_title(\"True Log Cases vs Fitted Cubic Line (CA)\")\n", "# cali_cubic_residuals = log_cali_outcomes - cubic_prediction\n", "# axs[1].plot(california.index.values, cali_cubic_residuals, 'o')\n", "# axs[1].set_title(\"Residuals: True Log Cases - Fitted Cubic Line\")\n", "# print(\"MSE with cubic fit:\", np.mean((cali_cubic_residuals)**2))\n", "# print(\"AIC:\", evaluate_AIC(2, cali_cubic_residuals))\n", "# print(\"BIC:\", evaluate_BIC(2, cali_cubic_residuals))" ], "metadata": { "id": "ea0cJ84_Rh7u" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# # After linear fit, it seems like a higher order model is needed\n", "# from sklearn import linear_model\n", "# clf = linear_model.LinearRegression()\n", "# index_len = len(log_ny_outcomes.index.values)\n", "# index = np.linspace(1,index_len,index_len).reshape(-1,1)\n", "\n", "# new_x = np.hstack((index, index ** 2, index ** 3))\n", "# clf.fit(new_x, log_ny_outcomes)\n", "# print(clf.coef_) \n", "# cubic_prediction = clf.predict(new_x)\n", "\n", "# fig, axs = plt.subplots(2,1, figsize=(12,12))\n", "# axs[0].plot(new_york.index.values, log_ny_outcomes, label='log COVID-19 cases (original data)')\n", "# axs[0].plot(new_york.index.values, cubic_prediction, 'r', label='fitted line')\n", "# axs[0].legend()\n", "# axs[0].set_title(\"True Log Cases vs Fitted Cubic Line (NY)\")\n", "# ny_cubic_residuals = log_ny_outcomes - cubic_prediction\n", "# axs[1].plot(new_york.index.values, ny_cubic_residuals, 'o')\n", "# axs[1].set_title(\"Residuals: True Log Cases - Fitted Cubic Line\")\n", "# print(\"MSE with cubic fit:\", np.mean((ny_cubic_residuals)**2))\n", "# print(\"AIC:\", evaluate_AIC(2, ny_cubic_residuals))\n", "# print(\"BIC:\", evaluate_BIC(2, ny_cubic_residuals))" ], "metadata": { "id": "RHBMBcRWSb44" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# # After linear fit, it seems like a higher order model is needed\n", "# from sklearn import linear_model\n", "# clf = linear_model.LinearRegression()\n", "# index_len = len(log_ny_outcomes.index.values)\n", "# index = np.linspace(1,index_len,index_len).reshape(-1,1)\n", "\n", "# new_x = np.hstack((index, index ** 2, index ** 3))\n", "# clf.fit(new_x, log_ny_outcomes)\n", "# print(clf.coef_) \n", "# cubic_prediction = clf.predict(new_x)\n", "\n", "# fig, axs = plt.subplots(2,1, figsize=(12,12))\n", "# axs[0].plot(new_york.index.values, log_ny_outcomes, label='log COVID-19 cases (original data)')\n", "# axs[0].plot(new_york.index.values, cubic_prediction, 'r', label='fitted line')\n", "# axs[0].legend()\n", "# axs[0].set_title(\"True Log Cases vs Fitted Cubic Line (NY)\")\n", "# ma_cubic_residuals = log_ny_outcomes - cubic_prediction\n", "# axs[1].plot(new_york.index.values, ma_cubic_residuals, 'o')\n", "# axs[1].set_title(\"Residuals: True Log Cases - Fitted Cubic Line\")\n", "# print(\"MSE with cubic fit:\", np.mean((ma_cubic_residuals)**2))\n", "# print(\"AIC:\", evaluate_AIC(2, ma_cubic_residuals))\n", "# print(\"BIC:\", evaluate_BIC(2, ma_cubic_residuals))" ], "metadata": { "id": "iNAwIk3kS5Vr" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "# 3. Data Preparation for Time Series Forecasting\n", "\n", "Since the gt features are in varies scales, we standardized the gt features by standard scaler.\n", "\n", "In order to fit data into the RNN models, we first transformed two dimensional time-series data of shape [samples, features] into three dimensional structure of a shape [samples, time steps, features]. Specifically, we specified a time step of 14 days, then moved a sliding window of size [time steps, features] on the 2D dataset to capture the information for each time step and stacked them together to get a 3D data. Essentially, we add one dimension of time steps\n", "to the original data. We defined the features as our predictors X, and the final 7-day COVID-19 cases for each 14-day period as our target Y, meaning that we used the features from every 14 days to predict the cases of the last 7 days. " ], "metadata": { "id": "NN1y4yVpHtgQ" } }, { "cell_type": "code", "source": [ "def data_process(features, outcome):\n", " outcome = outcome.reset_index(drop = True)\n", " features = features.reset_index(drop = True)\n", " cols = features.columns\n", " standardizer = StandardScaler()\n", " standardizer.fit(features)\n", " scaled_features = pd.DataFrame(standardizer.transform(features),columns=cols)\n", " combo = pd.concat([scaled_features, outcome], axis = 1)\n", " combo[\"JHU_cases\"] = combo[\"JHU_cases\"].fillna(0)\n", " return combo\n", "\n", "def times_series_split(time_series_df, response:str, days_train, days_pred, print_shape=False):\n", " \n", " # Initialize x, y arrays as zeroes\n", " # Decide if you want to hold out response variable\n", " x = np.zeros((0, days_train, time_series_df.shape[-1]-1))\n", " y = np.zeros((0, days_pred))\n", " \n", " # For every row in the dataframe\n", " for i in range(len(time_series_df)):\n", " \n", " # Define the windows of training and prediction\n", " idx_in = i + days_train\n", " idx_out = idx_in + days_pred\n", " \n", " # If window of prediction tries to go past end of data, stop\n", " if idx_out > len(time_series_df):\n", " break\n", "\n", " # Create windowed training sequence for all non-response columns\n", " seq_in = np.array(time_series_df.iloc[i:idx_in, time_series_df.columns != response])\n", "\n", " # Create windowed prediction sequence for response column\n", " response_idx = time_series_df.columns.get_loc(response)\n", " seq_out = np.array(time_series_df.iloc[idx_in:idx_out, response_idx])\n", " \n", " # Add sequences to respective array, shaped for supervised learning\n", " x = np.concatenate((x, seq_in.reshape(((1,)+seq_in.shape))), axis = 0)\n", " y = np.concatenate((y, seq_out.reshape(((1,)+seq_out.shape))), axis = 0)\n", " \n", " # Decide if you want to print the output shape for clarity\n", " if print_shape == True:\n", " print(\"x_train shape: \", x.shape, \"y_train shape: \", y.shape)\n", " return np.array(x), np.array(y)" ], "metadata": { "id": "0yk4LJsp8svi" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# ca_combo = data_process(imputed_cali_gt, log_cali_outcomes)\n", "ca_combo = data_process(imputed_cali_gt, log_cali_outcomes)\n", "ny_combo = data_process(imputed_ny_gt, log_ny_outcomes)\n", "ma_combo = data_process(imputed_ma_gt, log_ma_outcomes)" ], "metadata": { "id": "7-ZrujQD8s2r" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "days_train = 14\n", "days_pred = 7\n", "X_ca, y_ca = times_series_split(ca_combo, \"JHU_cases\", days_train, days_pred)\n", "X_ny, y_ny = times_series_split(ny_combo, \"JHU_cases\", days_train, days_pred)\n", "X_ma, y_ma = times_series_split(ma_combo, \"JHU_cases\", days_train, days_pred)\n", "features_ca = X_ca.shape[-1]\n", "features_ny = X_ny.shape[-1]\n", "features_ma = X_ma.shape[-1]" ], "metadata": { "id": "Fz0wo_Pn8s45" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "X_ca.shape, y_ca.shape" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "1fsMOQJN_8Z8", "outputId": "1289bfaa-301c-4463-8e89-e53129e99274" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "((719, 14, 442), (719, 7))" ] }, "metadata": {}, "execution_count": 37 } ] }, { "cell_type": "markdown", "source": [ "# 4. Recurrent Models for Forecasting COVID-19 New Cases\n", "\n", "## Baseline Model - Simple RNN\n", "\n", "As a baseline, we built a simple Recurrent Neural Networks (RNNs) model with a single 100 units layer to forecast the COVID-19 case number in the future, because RNNs are not only relatively easy to implement but also able to automatically learn the temporal dependencies.\n", "\n", "## Advanced Models - LSTM & BiLSTM\n", "\n", "LSTM is specifically designed for sequence data. It reads one time step of the sequence at a time and builds up an internal state representation that can be used as a learned context for making a prediction. Bidirectional LSTM can be beneficial to allow the LSTM model to learn the input sequence both forward and backwards and concatenate both interpretations. Therefore, we first designed a single layer LSTM model with 100 units, and then tried a bidirectional LSTM model with a single LSTM layer wrapped by a bidirectional wrapper layer.\n", "\n", "## Design\n", "\n", "We used ReLU activation function on each hidden layer, Adam optimizer with 0.001 learning rate, and Mean Square Error (MSE) loss. To make the models comparable, we only used California dataset. we used the trained models to make predictions and visualized the prediction performance overlapped with the true cases." ], "metadata": { "id": "1-1TLnyhmSOd" } }, { "cell_type": "code", "source": [ "# Define RNN model\n", "def model_rnn(days_train, days_pred, features, summary=True):\n", " \n", " rnn = Sequential()\n", " # rnn.add(SimpleRNN(100, input_shape=(days_train, features), return_sequences=True))\n", " rnn.add(SimpleRNN(100, input_shape=(days_train, features), return_sequences=False))\n", " rnn.add(Dense(days_pred, activation=\"linear\"))\n", " \n", " rnn.compile(optimizer=Adam(), loss='mse')\n", "\n", " if summary == True:\n", " rnn.summary()\n", " \n", " return rnn\n", "\n", "# Define LSTM model\n", "def model_lstm(days_train, days_pred, features, summary=True):\n", "\n", " lstm = Sequential()\n", " lstm.add(LSTM(200, activation='relu', return_sequences=False, input_shape=(days_train, features)))\n", " lstm.add(Dense(days_pred, activation=\"linear\"))\n", " \n", " lstm.compile(optimizer=Adam(), loss='mse')\n", "\n", " if summary == True:\n", " lstm.summary()\n", " \n", " return lstm\n", "\n", "# Define Bidirectional LSTM model\n", "def model_lstm_bd(days_train, days_pred, features, summary=True):\n", "\n", " lstm_bd = Sequential()\n", " lstm_bd.add(Bidirectional(LSTM(200, activation='relu', return_sequences=False), input_shape=(days_train, features)))\n", " lstm_bd.add(Dense(days_pred, activation=\"linear\"))\n", " \n", " lstm_bd.compile(optimizer=Adam(), loss='mse')\n", "\n", " if summary == True:\n", " lstm_bd.summary()\n", " \n", " return lstm_bd\n", "\n", "# Define function to train an inputted model\n", "def fit_model(model, x_train, y_train, val_split=0.0, epochs=10, verbose=1, batch_size=1, cb = []):\n", " history = model.fit(x_train, y_train, #validation_split=val_split,\n", " epochs=epochs, verbose=verbose, batch_size=batch_size, callbacks = cb)\n", " return history\n", "\n", "# Define function to plot single-day prediction\n", "def plot_prediction(prediction, y_train, scale_max, ax=None):\n", " \n", " # Rescale data\n", " prediction_rescaled = prediction * scale_max\n", " y_train_rescaled = y_train * scale_max\n", "\n", " # Plot figure\n", " if ax is not None:\n", " plot_loc=ax\n", " else:\n", " plot_loc=plt\n", " plt.figure(figsize=(20,10))\n", "\n", " plot_loc.plot(y_train_rescaled, label=\"Actual\")\n", " plot_loc.plot(prediction_rescaled, ls='--', label=\"Prediction\")\n", " \n", " if ax is None:\n", " plt.legend(fontsize=15, loc=2)\n", " # plt.title(f\"Plotting {response} over time\", size=20)\n", " plt.xlabel(\"Days since first case\", size=15)\n", "\n", "# Define function to allow windowed prediction plotting\n", "# when predicting multiple days into the future\n", "def plot_multiday_predictions(y_train, predictions, scale_max, ax=None, skip = 1):\n", "\n", " # Rescale data\n", " predictions_rescaled = predictions * scale_max\n", " y_train_rescaled = y_train * scale_max\n", " \n", " # Plot actual data\n", " cas_obs = []\n", " for i in range(len(y_train_rescaled)):\n", " cas_obs.append(y_train_rescaled[i, 0])\n", " \n", " if ax is not None:\n", " plot_loc=ax\n", " else:\n", " plot_loc=plt\n", " plt.figure(figsize=(20,10))\n", " \n", " plot_loc.plot(np.arange(0, len(cas_obs)), cas_obs, label = 'Observed')\n", " for i in range(len(predictions_rescaled)):\n", " if i % skip != 0:\n", " continue\n", " plot_loc.plot(np.arange(i, i+predictions_rescaled.shape[-1]), predictions_rescaled[i], c = 'orange')\n", " \n", " if ax is None:\n", " plt.legend(['Observed', 'Predicted'], fontsize=15, loc=2)\n", "\n", "# Define function to predict\n", "def predict_model(model, x_test):\n", " prediction = model.predict(x_test)\n", " return prediction" ], "metadata": { "id": "9rnIyLJ-8s7f" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# es = EarlyStopping(monitor='val_loss', patience=20, restore_best_weights=True, verbose=0)\n", "lcall = LambdaCallback(on_epoch_end=lambda epoch, logs: print(\"epoch \" + str(epoch) + \", loss \" + str(logs['loss'])) if epoch % 20 == 0 else None)" ], "metadata": { "id": "OQeaR62w9t-G" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "### Train Models for CA" ], "metadata": { "id": "RyxbJYjyTpzS" } }, { "cell_type": "code", "source": [ "# Simple RNN\n", "rnn = model_rnn(days_train, days_pred, features_ca)\n", "history_rnn = fit_model(rnn, X_ca, y_ca, val_split=0.2, epochs = 150, batch_size = 16, cb = [lcall], verbose = 0)\n", "rnn_pred_ca = predict_model(rnn, X_ca)\n", "plot_multiday_predictions(y_ca, rnn_pred_ca, max(ca_combo['JHU_cases']), skip = 5)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 957 }, "id": "FYocfS7F9uCh", "outputId": "3ae8a1ea-87d9-4fb2-910e-748445f1d55b" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Model: \"sequential\"\n", "_________________________________________________________________\n", " Layer (type) Output Shape Param # \n", "=================================================================\n", " simple_rnn (SimpleRNN) (None, 100) 54300 \n", " \n", " dense (Dense) (None, 7) 707 \n", " \n", "=================================================================\n", "Total params: 55,007\n", "Trainable params: 55,007\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "epoch 0, loss 58.613128662109375\n", "epoch 20, loss 0.22951264679431915\n", "epoch 40, loss 0.059293050318956375\n", "epoch 60, loss 0.03211390972137451\n", "epoch 80, loss 0.02523738704621792\n", "epoch 100, loss 0.02290790155529976\n", "epoch 120, loss 0.016555501148104668\n", "epoch 140, loss 0.016637032851576805\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "rescale_rnn_pred_ca = rnn_pred_ca * max(ca_combo['JHU_cases'])\n", "rescale_y_ca = y_ca * max(ca_combo['JHU_cases'])\n", "\n", "rnn_ca_mse = mean_squared_error(rescale_rnn_pred_ca.flatten(), rescale_y_ca.flatten())\n", "print(f\"MSE of RNN: {rnn_ca_mse:.4f}\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "iSwyfbaZEiV6", "outputId": "95c3fbe6-ae58-46e2-a1f0-67890ad24c81" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "MSE of RNN: 2.0706\n" ] } ] }, { "cell_type": "code", "source": [ "# LSTM\n", "lstm = model_lstm(days_train, days_pred, features_ca)\n", "history_lstm = fit_model(lstm, X_ca, y_ca, val_split=0.2, epochs = 150, batch_size = 16, cb = [lcall], verbose = 0)\n", "lstm_pred_ca = predict_model(lstm, X_ca)\n", "plot_multiday_predictions(y_ca, lstm_pred_ca, max(ca_combo['JHU_cases']), skip = 5)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 957 }, "id": "tEovaDqgiBSs", "outputId": "353b6582-289f-48ff-e017-def216625a56" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Model: \"sequential_1\"\n", "_________________________________________________________________\n", " Layer (type) Output Shape Param # \n", "=================================================================\n", " lstm (LSTM) (None, 200) 514400 \n", " \n", " dense_1 (Dense) (None, 7) 1407 \n", " \n", "=================================================================\n", "Total params: 515,807\n", "Trainable params: 515,807\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "epoch 0, loss 8.598601341247559\n", "epoch 20, loss 0.0312747098505497\n", "epoch 40, loss 0.018838820978999138\n", "epoch 60, loss 0.027316557243466377\n", "epoch 80, loss 0.006583207752555609\n", "epoch 100, loss 0.006925045046955347\n", "epoch 120, loss 0.009883992373943329\n", "epoch 140, loss 0.011892319656908512\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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zpE8rKirC29u7Yb1NmzbMmjWL+Ph4AEaMGNFQDAL45ptvsNlsjB8/vqGQ9MNx77//Pi6Xi8zMTHJycrjssssa3euKK65g4cKFx8yyYsUKampquPHGG0/qPezevZsDBw4wYcKERpkuuOACamtr2bp1K8OGDWP16tVcc801GIbRKJMKQiIi8nM5XG5eXZpG/7bhnN8lhgn94vlixXfklPUgPrTpxt0zTbPRv18/+H5/BSszR3NP7Du0M9bgW1dP+pJ7aDfmraNcRURERE5rfjGQvwQKV0LRSuj/IhitqxPVmVsQOgOFhoaycOFCDMMgLi6OhISERl84Y2Mb91csLCzE5XIRGhp61Ovl5OSQm5sLQExMTKN9/7v+v4qKigAailEnqrDQGo197NixR92fmZkJQG5u7klnEhER+SlzN2SRVVrDo5f3wMBkks/D3NV5Nu+s6swNF57fJPdYmVbEjW+s4dPfDyElJrhhe53TxV/mbiXQuIK77R/j4xXIorK+DC96h7r83+EbM6BJ7i8iIiLNxDcG6oog/T2w+0GHGzydqNmduQWhn9FCx9O8vLxITU095v7/fRoZERGBl5cXy5cvx2Y7slIZExPT0EonP7/xGAr/u/6/IiOt5u05OTlERUWdUP4fMgHMmDGDvn37HrG/ffv2gDUu0slmEhEROZY6p4vnv9nDgCQ7w0umwKIDBOYtBgPydn+Ge+RwbLYjW/WcrNeWpVHjcPH55lzuHHm4IPTG8nTSCqt488ZzMMK+AN9o/HP8cazryu5VM+h5iQpCIiIiZxS/Qw0WchZAeF/wDvJsHg9oXe2hzjAXXHABLpeLsrIyUlNTj/jx8fEhOTmZuLg45s1rPC3enDlzfvLagwcPxt/f/4gZy37Mx8eH2traRtu6dOlCYmIi6enpR830Q6FpwIABzJ8/H/NHM7EcL5OIiMixvLfqAAdLavh7350Y+9+Cqkw4635qvOLoblvD0t0FP/vamcXVjH3+W55csJNFu6yHF9/szGt0zIdrMhncIYLh4bsg+jwI687gbh044O6Eo2ANLvehf+/ylkDJpp+dRURERJrJDwWhij0Q0d+zWTzkzG0h1Ap06dKFSZMmcc011zBlyhRSU1Opra1l27Zt7N69m9dffx273c6UKVP405/+RFRUFOeddx6zZ89mx44dP3ntsLAwpk6dyoMPPkh9fT1jx46lrq6Ozz//nGnTppGYmEjXrl2ZN28ec+fOJSkpiYSEBBISEnj22Wf5zW9+Q3l5ORdddBE+Pj6kpaUxd+5cPv74YwICArjvvvsYNGgQEyZM4Oabb2br1q3MnDmzmT45ERFpSWodLl5ctJchKZF0ckyHwLZwyW4wDHyqDjKkbj5D3l3L41f25rI+iSd17TqnizveW8+O3HK255QT413KjO4f8JvNvyavvJbYED/2FVSSVljFo71WwcI/Q7d7oe9TAPjEDCCl4CO+27SeYdk3QsVO8IuHS/aA3edUfBwiIiLSFPx+NKRJKy0IHbeFkGEY/zYMI98wjK0/2va0YRg7DcPYbBjGJ4ZhhP1o3/2GYew1DGOXYRijT1Xw1uJf//oXU6dO5e2332bs2LHccMMNfP755wwdOrThmLvuuosHHniAV155hSuvvJLKykqeeuqp4177/vvvZ/r06SxcuJDLLruM2267jdLSUoKDrSbykydP5sILL+Smm25iwIABzJgxA4CJEycyb948Nm7cyNVXX80VV1zByy+/TL9+/fDxsb78pqam8sEHH7BhwwYuv/xy5s6dy6xZs07BJyQiIi3dst0FFFfVc/uQWIzc/0LSeDAMyP8We9U+wu1lXJxcwJ0fbOQvc7ewKbOUeqebeqeby/61nIc/3daoxeqPvbYsjc0Hy3jl1/25d3QXXktdSB/3Z0yM+JpvdlithRZuz8PAzYCaf4PhBTuehkyr1WtSh3MIsVdTv3EalG2x7lN9gP988CgVtY5m+4xERETkxNU73Sw/aD+8IeLYQ7u0ZMaxviA1HGAYQ4FK4G3TNHsc2nYhsMg0TadhGE8CmKZ5n2EYZwHvAwOBBGAh0Nk0TddP3SM1NdVcu3btMffv2LGDbt26nfi7khZBv3cREQH4/fsbOJixgY8m+OC18jcwcinEDIUDH8F3EwBw9X6KJzPGMWNZGgAD2oVzzYA2/PEjq/vWxNRk7ruoKxGBh1vtmKbJ8GeWkBTuz7u3nG1tXP5/kPE+y2sG82jlk3z2+3OZ+OoKehtLmBryIJz9Jux5GUK6weA3oXgDLOiHyzSwGyZVLj/S6pIIsVfyr8DPeGpC63ziKCIicjp7adEeZnyzns3drwG7P1xdDraW2YHKMIx1pmketeJ13BZCpmkuA4r/Z9vXpmn+MOf4SiDp0PJlwAemadaZprkf2ItVHBIRERE5adX1TvLTlvBxm1utYpB/IkQNsXbGjQLDDhEDsYf34oGx3Vj8p+HcO7oLa9JLmDpvK0PiK/jDsHhmrc1kyBOLWLj98NhA6w+UklFUzfi+SYdvWJMDQN/gA+zIKeeeDzey7kAJ10YthoAkaPcrOP8rOPsN6/jQ7mDzwW6YbKrpQqC9lvhOI2jrm8vOHcsa3U9EREQ8r7reyczv9lPuCsSNF4T3abHFoONpikGlbwK+PLScCGT+aN/BQ9tERERETtrKTauZ2eZB7Lgg5TYY9S3YDjXx9gmDqMFgOiHB6qXePiqQycM7MrhDJOf5fcsbsbdxT9RM/nv3UFJigrjzgw3szC0HrGns/bxtjO4ee/iGFbsA8HfmMKBNAPM2ZnN2+0g62A8NJm3zsu77w8ygdh8I6wVArytng38CUc69AFwUu4/Hv9xxeMBpERER8bj3Vh2gpNoBGBT6nAXxYzwdyWN+UUHIMIwHASfw7s8491bDMNYahrG2oODnzwwiIiIiLVftrpkE2mowA5JhwMsQ1L7xAfFjoGQ91OQ2bDIMgxeG5fFqu8fwCu0MnSbTKaiE165LJdDXixvfWMP8TdnMXn+QUWfFEeznbZ1YV2S1EPIKxsDN8xca3H9RV976VQdsNZkQ0e/oIZMuh9gRGGHdYeCr0O8ZCOrA+KQ09hVU8cmGrFP06YiIiMjJWrgjj56JoQT42HnF5z3oMdXTkTzmZxeEDMO4ARgH/Mo8PBBRFpD8o8OSDm07gmmaM0zTTDVNMzU6OvrnxhAREZEWqqLWQXztcgwDjC53gXGUry0JF1mvC4fB8mvBVQtA9MHnAbCd9yHs+id83oM4/1revHEgNQ4Xf3h/AzHBvjw4thtU7IOtf4ecr6xrhfe2Lu3cxG3DOuJTfmga+fC+Rw/a40EYsdBaThxnNT2PPpfYurX0TAzhxUV7jjmotYiIiDSv/PI62kQGEB/qR0557eFWv63QzyoIGYYxBpgCXGqaZvWPds0HrjEMw9cwjPZAJ2D1L48pIiIirUFZ5rfkbXsfgIXbc+jqux/T8IKONx79hPA+kHQZ+EVDxgew9g/W9oq9gAFbH4X974CzAtLe4qyEEN69ZRBX9E3k/VvPJq7sU/i0E2z+C6y62To3+jzrNX+Z9Vqy/tC9jlEQOproczHqCri9n5OMomp25lac3AchIiIip0R+RR0xwb4khPmTXVrj6TgeddyRkwzDeB8YDkQZhnEQmAbcD/gC/zWsatpK0zQnmaa5zTCMD4HtWF3J7jjeDGMnyjRNjFZcuWtt9CRVRKT1OVhSzcGv/0gf3008vrc9ezL2MT6qHneff2D4hB/9JMMGQ+dayxsfgO2PQ3BHqM6E8P6Q9m9rX2B7a3awLr+ne1wQzw0rgmAf2PwhBCRC13tg/T3gHXJ46tmuh4pLxRsgsC34Rpz4mzlUVDovdCeG0YaF2/PoFh/yMz4VERERaSrV9U4q65zEBPtRXediZ24FDpcbL5vRKusNJzLL2LWmacabpultmmaSaZozTdNMMU0z2TTNPod+Jv3o+L+bptnRNM0upml++VPXPlHe3t7U1LTuyl1rU1NTg7e3t6djiIhIM6l1uPjV66to65WOn62e8l3vkujeDIAtfuSJXaTX3yC8H2z8s7Xe/QHrNWa4ta9iN+QuhJ3PwqKRsPgiKFpjDUzd5S5o9xtIGAchXazzqrOt15L11nVPRkgX8E8kuGgBfZLDWLhDs42JiIh4Wn55HUBDC6GCijpmfrefc59cTFm1w8Ppml9TzDJ2ysXExJCVlUV1dbVajrRwpmlSXV1NVlYWMTExno4jIiLN5KttuRSVFBLvbU008beea3jk3GrwCoSQbid2EZsdBvzLWvaPh+TxMOh1SH0B2lwFfjGw+1+w51XrmPzFUJ1htQgyDDjnbRjyrtXCCANy/ws7nrW6nx1rQOljMQxoMwFyFjC2iz+bDpaRV157ctcQERGRJpVfYRWEkn1zuarq97T1yebdVRkE+NgJDWh9DRKO22XsdBASYjWxzs7OxuFofVW71sbb25vY2NiG37uIiLR8768+wJCYQ7OOxgzFK38ZlG+CyEGHp5k/EVFnQ+/HrK5fhgEdbz68r+MtsO1xwATDbnUDq9x3uIvYD+x+ENYT0t6w1hPGQqfbT/5NtZ0Iu/7BJWHLiEyez9ptEVw8ePDJX0dERESaRH6F9XAmpeQNwqq/odZ9LXnFNUwa1tHDyTzjjCgIgVUUUoFARESk5dlfWMXKtGI+GbweqoC+z8K+meCuh/a/PvkLdr//6NtTboPtTwAGxJ5vdR+Do7f+ufB7KN0KptsqMv2ccQUiB0JgO2IznuHSsFxq94+FTl9B1MCTv5aIiIj8YvnldQTbqgjPfpuquCvJ2xQFwKizWmfvlDOmICQiIiIt06tL95Hil0WfqplWy53wvjBwetPfKLCN1UrIXQ/RQ62CUFAK+IQdeaxXIEQN+mX3MwzoejfGtsfwMlyYbidsnAIjl/yy64qIiMjPUlBZx7VR/8VwVeLd/R74qoCIQB/6JB9j8ooW7owYQ0hERERapg0HSvhwbQbPnTUfAxuEdD25LmIna+CrcPYbkHSpVXyK6H/q7gXQ5Q9w6X4A0mrjcJdsPbX3ExERkWPKL69jdNhaCO+Lb8xA2kQEMLp7HHZb65thDNRCSERERDykrMbB/XO2cGfCp/R0fg52fwjr1Tw3942Ecz888QGrfwkvf5xeYdS7vbE5iqC2APyiT/19RUREpJH8ilpifEogaAAAs28/hyDf1lsWUQshERERaXZVdU6u+/dq9hVU8qsOBzAAXDUQ1qP5QiRfAaHNUBACbIFJeNkOzZRavqNZ7ikiIiKNFVTUEWkrsmYjBaKDffH3OYUtk09zKgiJiIhIs3trRTqbMkt56dreRNVthKTLYcgH0Gmyp6OdEraARCJ8ndZKmQpCIiIinlBWWU6AUQn+cZ6OclpQQUhERESaVZ3TxZvL0zmvUxSjo3ZBbR60+5U1TfvRBnhuCfwTifQqpdrtS33xNk+nERERaXXqnW7sdXnWil+8Z8OcJlQQEhERkWY1b2M2+RV13Dok0Zpe3isIEsZ6OtapFZBIoFnMvtokKgs2ezqNiIhIq1NQWUeMd4m1ohZCgAaVFhERkWZUWFnH01/t4uLkAs7d0gMcZdDxt+AV4Olop5Z/IgZushyxtK3c5ek0IiIirU5GYRXRXocKQn4qCIFaCImIiEgzME2TjZml/P69DZTVOPh7t28wTCcMnQ+pL3k63qnnnwCA2zeaEHcuOMo9HEhERKR12VdQSXRDCyF1GQMVhERERKQZvLMyg8v/tZxV+4t4fFwbwgrmQNtrIekSsPt4Ot6pF5AIgF9IWwAcae96Mo2IiEjrUl9CZe46En1LMQ0b+EZ7OtFpQQUhEREROeXyts/ii65TWHdnO66M/BZc1VZXsdbC3yoItY2NY2N1J2o2PQlul4dDiYiItBLbn+Lm6l/RLbgQwzcGbK13qvkfU0FIRERETqlah4vOdV9xls92wr+/APZMh7CeEDnA09Gaj1802LzpEFTGUvtNhDgzqNjzgadTiYiItA5V6fgYdQzyXaEBpX9EBSERERE5pTZmlpLim0GFb1cwfKB0s9VdzDA8Ha35GDbwi8eoyWbsRbdT4Ahj2ZI3+dMbcyh5J4zaWVGw9g+eTikiItIiuaqyAfCnUvQlljQAACAASURBVFPO/4gKQiIiInJKrdqXRxffdIJc2dDu/6yNba72aCaPCEiEmiw6xYVijx5In6B9ZJQZfFc3nC3lcbh3vww1OZ5OKSIi0uI4DxWEALUQ+hEVhEREROSUykjfhJfNjeGqgR1PQXg/CE7xdKzmN2gmnP0GABFJg0m0ZfDRHaMY/uuPmFH3ADZclGyd4eGQIiIiLY+tLhe3eahlsmYYa6CCkIiIiJwytQ4XzuIt1kr3B6zXttd4LpAnhXaDwDbWckR/MN1QspHgkiX89ZqLWF3di7qdr1LncHg2p4iISEvirMLbXcnqqu7Wup9aCP1ABSERERE5ZTYcKKWjTzomNjjrPrhoI3S9x9OxPC+iv/W65SFYfCHJZXPw7TqZOHsOS7/6p0ejiYiItCQ15ZkA7PYfB+2vh4SLPJzo9KGCkIiIiJwyK9OK6OKXgTuoI3j5Q3hvTfUKEJBgPaHM+8ZaL1pN7yG/Zb/Zg77Fj5OZm/3T54uIiMgJWbR+EwBn90yFwW+2zm7rx6CCkIiIiJwyK9MK6RO0H3t4L09HOf380ErIHgBFa8GwEXzeDCLsZaz6/D5qHS7P5hMREWkBVu/YDkDndp09nOT0o4KQiIiInBK1DhcRJQuIs+dAwsWejnP6aXsNxF8EnW6Hsi3gqiWqzWAKQ0dxntcX3P/xBk8nFBEROaM5XW5stYdm8NR080dQQUhEREROifXpRfwh+h2qfTtA+994Os7pp/2v4fwvIOpscDug1Bp8O7bXb4n1LqZw35esSivCNE1M0/RwWBERkTNPcXU9Md4luPAG30hPxznteHk6gIiIiLRMuzfP4Qb/dGp7vQ02feU4pohU67V4HUQOgMRxmN5hXBuzlCcXXICXzUZpTT0vXNuXrnEhns0qIiJyBimuqifGq5h672j8DcPTcU47aiEkIiIiTc7hclOdswI3Bn7tr/B0nNNbYFvrqWXxWmvd7ovRdiIXBi+nMHcHMWWf04dFXPbScrZmlXk2q4iIyBmkuLKeaO8SXD6aav5o9LhOREREmtzyvYW0s+2lxqc9gV6Bno5zejMMq5VQyebD27o/iD39fb7odh9BZjEmNkpczzDl4yDm/W4I3nY90xMRETmewqp6OnsVg38PT0c5LenbhIiIiDS5+Zuy6R6Qjl9MH09HOTMMfhsu/P7wemAyRs9pBJnFEDsCI6gDL7Z5moP52bz1fbrHYoqIiJxJiivriPEuwStIA0ofjQpCIiIi0qRqHS6+3Z5Osk8O9nAVhE6IX8yR4yx1vRtihkPJehj4Cr7OXP6e8gkfrs30SEQREZEzTXlFMRFe5fiEdPB0lNOSCkIiIiLSpJbsyifJtg8bJoT38nScM5dhQOoL4CiDrM8wOt7Cxb6zcZTsYm9+pafTiUgL5nZrZkNpGYyqNABsISkeTnJ6UkFIREREmtT8Tdmkhh5qxRLW27NhznRhPaHjLVC5D3o+DHY/JsV8zIKtOZ5OJiIt0JaDZVz2r+V0/suXfLD6gKfjiPxiPtX7rYWgjp4NcppSQUhERESaTFWdk2925DMqPhe8Q6wZtOSX6f8iDJsPAfHYEsZwQdgmvlRBSEROgXkbs9iRXU5SuD8vLd6L0+X2dCSRXyTAkWEtqCB0VCoIiYiISJNZf6CEOqebs7y3Qnhfq9uT/DJ2n8PLcRcQbcunsnAX27I1Bb2INK39+cUMjS/lgbHdOFhSw7yN2ZRVO074/O/3FVJUWXcKE4qcnDDXASrNUPAJ9XSU05IKQiIiIvKzbD5Yyrd7CjDNw2NNbMrI59mkZwmq2QZJl3kwXQsVOwKA88O28MbydM9mEZEWp0/Nf3gl4npGtrfRITqQP360id6PfM1zX+9q9P/6oymvdfCbmau558NNzZRW5PiijYOU2tt4OsZpSwUhEREROSHzN2Xz0dpMMourqapzcsMba/jNzNVcMf17KmqtJ8glB1dyZcRi64TkKz2YtoUK7gT+iVyZuJv5G7MpqNCTeBFpGpV1Ttob2/HCgS3va/45sQ9/urAzN/V28cKivTz/zZ6fPH9tejEut8nS3QUs213QTKlFjs3hcpPolUOlt7qvH4sKQiIiInJcO3LK+cP7G7j3482M+sdS/jxnC8VV9dw2rAMbDpTy/uoDmKaJf9lq64TwfhCoJ3JNzjAgbgRn2daSYM/k3ZXpnk4kIi3EvvxKuvodGoA3+0t6JYXxu5RN/NW8jNtSdvLNjvyfPH9VWjHedoOkcD9e+mwxBZtmUD77LHIXXH3c1kUiTeGbHXk8+MmWhlnySiorSfAuoN6/nWeDncZUEBIREZHjemXpPgJ97Cy7fBuvt/s73fIe49Xu73F/+DNc0MGPf3+Xzu68Sgb4rbFOaHetZwO3ZO2vw+4oYnGXSVyZfQGOXa96OpGItAD7cgto75uNiQG5X4GzFjb+GYDxoV+xK6+i0SDTbrdJZZ2zYX3V/mJ6J4Uxu//bfBg3kehtt+GqOkhc8cc8+e47uDSVvZxiOzbOJTr9cT7ZkAVAeeE+7IYbUwNKH5MKQiIiIvKTDhRV8+mmbH51dlvahBic67+cyTEfc6HXx5D2b16Mup3qykL++NEGUgN2WH9MtP0/T8duueJGQIcbwDCpdxnY1t8JjgpPpxKRM1xZzkbrj+eky6GuCDb/FSr3QUR/OjuWEGiWkJZfAsBry9LoOnUBPaZ9xRNf7qSi1sGWrDIGdYggtvuvKTnrH7zk9Tbreq+hxghlYOWLbM8u9/A7lJaue91cfh8zi+cWbKKi1kFdyW4AvEJSPJzs9KWCkIiIiBzB4XIze91BKuucvPZtGt42mJyyFTj0hNcnAsOsh+4PEFi7hyd7LqG+eCeB9loI7QEBCR7N3+L1fwFsPmSYXbCbdVSnzeY/KzN48Zs97M5TcUikNdi74gXSZo9ssuuZpZsBsJ01BQw75H4N0UMheig2HPy3y2TaL+2AWV/Om9+nkxITxOV9Enhl6T6mTn+GJZ1vYkiyAfGjCO9zF7+b8BtG9u5CedvfcUHIWgrydjdZVpGjCXTlYTfchDjS+HJrLq6SrQD4R3X3cLLTl5enA4iIiMjp55P1WUyZvZmw7fcwoX4jk3sYhK394cu8DeqLwSccej4EZdu4KO8DLhxZARlgpPzWk9FbB+9gjPC+pAZUkVUcTdqyV/jLvmgAXli0h//ePYx2fnngdkJIZw+HFZFToS7tQ7qygsraeoL8fE76/O/2FPLCoj0YwN2jOuNdsZW6cD98IwdC22vg4DzocDPs+gfusD7YC9PwdpezM20zWaU13DWyE1f1ieGcjlGk7HqaZFsesV7LgS6N7hOUdB6kQ2XRbmBAU7x1kSPUOlyEG4UA9AzKYsvBMrrVbyDbEU1yvAaVPha1EBIREZFGTNPkze/3c1n4Ms63fUyQrZKIQB8Y/B8Yuxm63m0dmHgJ2Lyhx1/BUYo9413rqXLHWz37BlqLyEGE1GyhPOZyzg5Yy+yz57Ly1lAivcoo/+ZK+LQTLDzPKgqJSIsT696J3XCz+0DGcY81TZM9eRWsyyihsLKOd1ak8+uZqzhQVM3GzFKumbGSrn7pENoTDBt0uxeclbD7eWh7DbaxG/hb5VMAbNm1BW+7wUVxBzDmRDMhchH9vFYC4JMz74h7B4Zaf4zXlmU22XsX+V9ZpTXEehcBMCgqn80HS4mo28JBuuJtV9njWPTJiIiISCNrM0oIKV/O88lPAQYfhr6N76VboP2vIKwndJ4MXoHQ/nrrhIh+MOh162fcHvDy9Wj+ViNqELiq6dbzIuwB8fSveYO4vVMY1bszgdXbqYseA7X5UPi9p5OKSBOrrcgmym798bv/YFqjfesySiiuqm+0bfn676j/rA8HPxvPojfHUbP6HkZ2i2bp5DZ88n+BjOsaQP/AXfjGDrJOCO8NCWPBL8bqogqERXUAIC1jJ0NSogja8yg4K2DVzeCug4hUq5uZs6px2IBEANzVWU39MYg0yC4sIMReDUD3wCwO5OURb8ukOrCXh5Od3lQQEhERkUY+WJ3JHbGzMTEwki5hyvgRjQ8I6gBXV0DcBYe3dbzZ+glu37xhW7PIQ3+41eZjG58JPR+GwhXcNiiEC3f/i+nOR8DmC5lzPZtTRJpcbsaqhuWcvMMthFalFXHVK9/z+/fXNzq+ZNcHdPdPY3TMHi6JXMut0Z/w8qhKfL+/krO2XcpLA1Zjc9dYA9b/4NyP4eId4Gd1R+3UthP1bi9i7Hnc068MchZA8lVgusA/Hvo8Aa5ayP4STDfsftla9w6mxgzEuy77lH4m0roVF6QDYGIj0ZZOivdebIaJX9xAzwY7zakgJCIiIg3cbpOD+1dxXtA6DEyMrndjGMaRBx5tmzSvoA7gGwVFh/4wTL4SgKTKBQzvEse760pwx46Ag5+AqemeRVqSipy1DcslxQd54Zs9PP/OCyR+24tbouaTfWAzq3btA6yxVUIrV5NndMTv6iz8r84C7zB81t4GpVvAUQY7noLwfhDR//BNvPzBN6JhdcKAttgCE7mhjxe9Kl4D71CrGNR9KvR+HGKGQUAbWDMZvr0S1t4B6e8BUGWPI8idq6nn5ZSpKj1gLUQOIKg+jV7+ewBI6jDEg6lOfyoIiYiISINt2eXcEjLTWulwE8QO82wgOTbDgMiBULTaWg/tCqFnQeZs/m9QGwoq6thmOx+q0qF47U9eSkTOLLbSTVS4AgBwVufz70Vr+ZX5EOH2Yh6Mn8HirrfRec1A3C43y3bl0cd/B+6oc6yTvQKgw41QuRdsfta2+mJIGPOT97TbDLyC22JUH4DYUVbXsNz/QvQ50OF6sHnBBf+1xpY7ONdqMdThRgAcvvHE2IvIK689ZZ+JtG71ldYYVUbcSAzTyZDQ7RQ4I0iM7+DhZKc3FYRERESkwZJd+fQO2INpD4DUlzwdR47nrPsbxvcAIPlqyF/G8MAVJIT68dLe3uAbCRvuVSshkRYkrG4b2519MLER6VXKsx1eJ9K7At8xy2HkUvaFXku4rZgPlq5g8erFhNiriG7/o26+nSaB4QXtfgU9plmtgzrcdPwbB7SB6gOQ/jYEd4RLdjcuJIV0htGrYOQyOOu+htaktoBEYr2LOFBc3cSfhMgh1Ye6JMaNBKBbcAFFPj2O3spZGqggJCIiIg2W7M4nwF6P0WaC1V1ATm8x5zYey6nbHyFyIPbvJ3JXnyK+2lNPYcdpkL8UMj7wXE4RaTqOSuKMA5T49sD0jaJHRC3dug3F6P0oXlH9IGYoHfrdDMCny5diOzSwvFfseYevEdIZLt0Hg2ZAr4fgonVWged4ApKhOstqmZh4qTV20BHHJEHMeY02+YYkE+NdTGZRxc991yI/ydeRQy2BEDkAgPge19H16q88nOr0p4KQiIiIALAzt5yD2WkE2aqsmcPkzOMdDOd/CV5BXBL4KXabwevZ50NwZ9j/lqfTiUgTyN3/LXbDjS1mMDa/GC5ob5BwzjSrRc4hRmgXAEYkljCpey74xVrjjv1YYBtrivmTEdgGTCe46yFm6AmfFhTeDi/DTUHhgZO7n8gJKK91EGIWUOMVa82CGtgeyraB3c/T0U57KgiJiDS3kk2w7w3I+a+6cMhpw+02eWDOFvqG5lgbQs/ybCD5+XzCIX4M/oVfM6pbFB+ty8EV1hsq9nk6mYg0gYzdiwDo3mOkNS18bf6RB/kngj2AW3o7SfavhMAOTTMZQEDyoQUDok98sF6vIOu8HXt3YJ7gd5/cjNXs/GQ8ddXFJ5tSWpm0girivItw+yVYG0K7WwWhqgzY+U+oLfRswNOYCkIiIs0tcw6sugkWXwifd4e6Ik8nEuGVZftYf6CUSX0ODfgZ2t2zgeSXSRgLtfnc2qOUoqp60mpircGl3S5PJxORX8goWsVBZzKJcUnHLggZhtUtrHwnlG6CopVQtv2X3zywjfUa1ssqPp+ogEQA6ioy2Z5TftzDN238L/7LRtC1Zi5bN31pbXSU456TiHvP6yebWlq4vfmVxHoX4xN8qGAZ1h0qdkHGh7D+bnAe/7+51koFIRGR5tZzGqRMspYr98KiC9VSSDxq9rqDPLVgF+N6xdM7JMv6ku8X6+lY8kvEjwYM+ti/JznCn0UHg6xuHjUHPZ1MRI7HWQV5ixttMk2TV5bu45H522jPFsqDDk0P7xsDdUcpCAEEd7GuU5sHmLDlkV+eLeBQQegkuosBVoslIMm3gKVrvjvqIW63SVWd0zp885048QagKNcqZBXvmYetNhvHuj/pYZo0sj+/mBivYgLD2lobQruD2wG7X7JaPP9vd0lpoIKQiEhzc1ZjZsxivXsYq8P/CiXroWSDp1NJK1VR6+Ch+dsY1D6CZyf0xijbbn2R0qwcZza/KIgchC3nS64d2IYlWcHW9so0z+YSkeMy983E/GYE1OQ2bHv269088eVOvl67mmjvUiLanGvt8IsBRznkL4OiNY0vFNIZ3HXWcocb4cCHULrtl4XzCYVz3oez/nxy5/nFgM2bm+IW8X/l17Jlx6pGu7NLa7j61RWc99RiivO209lrB1uCb6bG9MdZugeAnG2zKHcF4OWqhM1//WXvQ1oUR8F6fGxObJGp1oYfWjlXH4CEcZ4LdgZQQUhEpLntfxvDUcKjaeP47bIU6wnY/v80y62zS2tYsDWnWe4lZ4ZZazLpaNvGo+dV4WtWWX3uNX5Qy9DxJogZxtX9Esl2HpoJqGIf1JfC7n/BnumezSciR7Vr72YMTCoLdwOwJ6+Clxbv5er+SXwx0QFAXIfh1sE/tOZcPNpqcVxbcPhCwdbA0oT3gb5PW4NON0Xrz3bXQEDCyZ1j2CDpchLs2YCN8FWXsm7Xzobdv565ik2ZJRRX1bNu2asA+Ha8ljJ7MgH16ZRXV5Ncu4QFZefwZeUFmOn/URdYaRBWdagYGjXYeg3pChx6sJWogtBPUUFIRKSZudPeZE99B7xih3Be984sKh+Amf4euJ2n/N6vLN3HpP+sZ19B5Sm/l5z+nLWlBG69j/dSptJp4yiY1x4cZZB4iaejSVNI+S30fYroEH9G9k/FYdr5ds1iaj6Mh7W/gzWToXidp1OKyP8oLbJa8hXkWwWhg6U1AFybGkfIvichtAeE9bEO9ouxXl214KyATQ8cvlDIoYJQ/BjwjYQ+j1utBz2l16PYzDoCkkeR5JPPvlUvA5BXXktaQRUzz9vE7E5/plvVB6yr6kqPTj0xgzqS5J3DW3PfIsReRVnEGL4u6Y3hKIfSzZ57L3LaqHe6accmymyJhwuVXgEQ1N7qAv9DkUiOSgUhEZFmNPfbJdiK1/BR0TDuHNGJq/onMbt4OEZdHhQsP+X335hZCsD7qzTtq8Da7/7NtaEfE2BUQ/vrIbQbjPxOT9NaoPsv7k4xCZSWZPJ8wW+4JesZTJ9I2PSgp6OJyI+UVNXjU58NQHWxNTNgUWU9AO2K37K6ffZ9Bmx264QfCkLxo6HLXbBvJhSvt7aF94Yud0LKbc36Ho4ppDN0uBGf3PkU29oRVb2CzOJqNh8sAyA5Oook/yqSfPJZaV5MsJ83wVFdSfbJoz53OfWmL78OfhcvDj1Ay1/2s6M4XW7cbo3f2BJkFFbSL2AH5UGpjXd0/gP0mAY2L88EO0OoICQicgqk7/mejG8b92/flFnK/jWv4TYN2vW7mXM6RjKofSQb63paBxQfau7qdsEXfawvdU2lKpP6PW8QXPYdhmHy8fqD1DrU1Lo1q6h1YKa/i8P0xgztCWe/AaO+g2g9SWuJvOw2ouO6MjKpjOsHRHKwypfvfG6BnK+gcNXxLyAizWLRznzivawpsl2V6QAUV9Vh4CY0522IGwUJow+fENodYkdAnyeg518h9UUIO/S9wuYN/f8JQe2a9038lI6/BXc9gWHJDAjcxrsr97ElqwybAfG9bmZjr+Wcu2MmRXE3ABAU2QVfm4OMgFF4hXbCr2o7VUYUxUYi5C/92TFuf3c9f/poUxO9KfGkzKxdxHkXY48e0nhH1zutH/lJKgiJiByPoxyWXAwlx//iUFpdz/X/Xs2KBQ/TNvNvVK26F6oOYDoqSVv4e34bMxd3zDD+7/whGIaBv4+dTsntyXfFHH6iV7zOmiLW7t80+bO+gPnt8FlzE3fFvM26XrfjVZ/PV9tyj3+utEhOl5tn5y1joP8GvA0HRufJGkS6FbAFd8S/cjPxB57gLylf8+eNA6wduf/1bDARafDN9ixivEsA8KrJBKwWQt5eXthGr4Sz/934BO9gGLHQGifIOwQ632EVgk5XkQMgqCO+rhKC7TVs3bKYremZdIoJxt+oYXhsDr269ubK1EPThwd3BOCfSU9jq9yFMXQutdGjWFXZAzN/2c+apdXpcvPdnkJ25VU05TsTD0nf+TUAke2HeTjJmUkFIRGRn2KasOpW6ym646e/OOSW1XL19GWs2FfEkOgCTBMC9z0DBz+l4ItxXObzLsXBQ/EaNKPReUM7R7GhsgOOwkNjeeR8BRjWU8BD5m3MYunuAk6Y2wU7n2f3vk0cWHI3mXWxPOv1IQ7TiwjzIM+3e4l5G7NO/HrSYrjdJre9sw4OfIjdMMErBNr92tOxpDkEp1ivXoEM8N9IVrUfpd6doeB7z+YSEcCaWn5/5l7shhuAIJf173RRVT2RgT4Y3kEQkOTJiL+cYUDba60JDIBHYp7k1YDRXJawB1bdhO835/DyxK50Twi1jg+yCkK28m1W66KEMVzaO4FFxV0x6ougbPtJR9iTX0mNw9XQFU/OXLlltUSWLaTaCMc3qr+n45yRVBASEfkp+9+GA7N4p/oWNtf3OOZhtQ4Xr37wInNjLmXh2LW0cW9gTd1AAFzbniCmain/qr6PxEu+gJBOjc49r1M0W2s64lW1xyo65X4FEf3ALxqA9MIq/vTRJh7+9CSmii34DtbfRfz3Q2hj7CbKq5jPtxWTGrgTAtszJGAVQbmfUFylL0Otzc7cCr7ZmcedydYTNTrfDt5Bng0lzaP9b2Dgq9D7MXzrMhmZXMV3ZZ0wC1eA6fZ0OpFWL6esFn+nNRNovtGOKCMXTJOiyjoig3w8G64ptbsWMDH94ujgm02d24cbeBAOfATuusYtsgOSwfACm0/DVPfjesez2+xr7S/49qRvvymzlOsjP2WY1xeYP6OFkTSRLY/Aiut/0SVmrdrLBcGrsYd0tv7bkZOmgpCIyE/Z/w55Rgf+uudinv5qF4t35nPZS9+RX1ELgMPp5Ps5k/jty7O41D6TQHsNbTL+CjZfNsU/xpKK/qwq68DdmVMYc+kD2G1HdsvpEhvMflcXDExrgMTCldbgkACmyawFH+N2OelQt4jazweAs+a4sd15S3GbBi5sOHyT8bM5eC75WXwMB6S+hMMnjtEh3/LFFk1B39qsSCtiSNAmwt3pYNih8+88HUmai18MpNxqjTcCTOp2gCVFnTAcpVC+8zgni8ipti27nHhva/wgp3cMAbZaKsrzKK6qJyLQ18PpmlDoWTBiMcbgt1kc9RJ/OHAvAa7/Z+++49sqrwaO/+7VHpa85e04y9k7ZBJCGCHMMFpG+1JKgbeTlpa+pbSFttBJB9BCB7QFyt4zjCwgkL0dJ3ESO957StYe9/3jUewM2wlJiDKe7+fDx/bVo6sjkcTSuec5pwmMqeL2/acfqnpRMT3iB2AT28hMeh3nTJpOUziVT1e9xpLtTZ/p4StrdvKT7H/xhZR38QQPM+F1za1Q9eJnOr90hJqWQc2rR7XtD+IVddsXkaTzYepaC375nvZoyISQJElSf6JBYi2fsqhlLC6HlRW7W/n2sxvZUtvFqxtFGfemT//NzMA/uDxpCROtZTDi+2LEZdGNzJ4wlZv2/oJv1fyECy7+HsNcSX0+jKoqmDLjvTy23gNaFLLnU9nq5aUX7+NH6k38a+Jr6Ihi7lp/RGNWu2uXsTMwiKWDl2JYsBql4GomWHcTUwzgOgd9/qXMdWxi0ebK4/VqSaeI1RVtfCv7bdAniT+vp/r2A+mzc44CcybjDZvY5BshjrWuSmxMkiSxra6LbKNICGWFxKCJpoYy2rwh0m2nUYUQgGsuZF/AnPO/ya3X3Q4T/whzXgezC9rXH7j23EUw4dcHHLp5dhH1xqkMZRN3vrwZTyB8xA89ouMxjGqEVH3XwNvGIn4x4KP+nc/wxI6DWBQ6tkLsyJ/TKSnQDJFuNuwoOapKrR0NHqbrlqIB5F3Z029K+mxkQkiSJKk/ratRYwH82Pho3J08UPgo1yW/xd1Fb/Hy+iq0WIzcql/ijVm5xvEmmNJg3H1wRSVMfZSR2Q5euG06y34wl4vHZg/4UCMHD6cpnAodG4kqJq55rouL//Qu5wQeJIKBc6JPcpkrvmVs/ytnfYmFsXStZY13DLPHjgVrDhTfAYCaMRP0NpTcy7GpPkZ3P0n4rXHgrToOL5h0sovGNHZXlTPdskaMIp74+0SHJCWCokDmuRhaP8SQUky35oCWTxMdlSSd8Urr3Yx1iH6B3lRRydfZspu27hCpp1tCKE6nKswYkgYjvw+ZZ0Pq5MO/zwGSrUYmTr4Ml76FOcalVL9zLWz7FSwaBx9e2u/9/J4mLjS/BUCarou27gG2GXXvATQItn7Wp3Vsqp6Hd8ejvZxBtPr1E/vYJ1JAVHY99OrrbKrpHHhtLAxdB1ayLt7exDzHOhSAMXd/PjGeAWRCSJIkqR/NexYR0xS+mf4spmgXV6cs42dZj3Jb0j9wejew+5ULyNXXYdSBkj0fzn4N9FYx5UPVAzBtcBopR/AmblpRGt+u+j8e7vouOi3I1ZbneHnG22QaOtDPew8lZQKXWt4AIFT73sAna9+AQfOzR5uIy2EWxzJmwPDbofh74ues84ipFuY7V2HwlEDj0qN+naRTx44GN8W6rahokLMg0eFIiVT8HZjyFyblJ7PZNwytY3OiI5KkM15pEcfq/QAAIABJREFUfRdTbaJJsn6s6JfT1bYHfzhKhk0FXy00fAClvxFVJKej1Cng3gER7+HXZs4B4MH8BxgdfA22/hT8jWI4x8HVNVFRCdS46RGsapDd5gU49V7aPAM8jnuX+HqiE0Ktq4jq7ARCAbZtfO3EPvaJEgtDqB2AYeYaajsO0w6h/F+waCwEev9fLN7RiFdNhbRpIpEoHRWZEJIkSdrnoHLVjr0fUBvOIlR4E1xSinpVAywQH5qmO8poaW+lO2olfFk1zHpGXNk6SqNyHOyMTuBPVReww7yQ6+zPM8rzpEjiZM2D+evYNFZMAtLa1vd/ovZN0LgEgFjG7ANvm/IQ5C8U3+utqHmXiSbTgLvkLzS7A0cdv3RqWF3RxmTbDjTVJN88nekyZkH+VUwsTGO7rwCta/vp+wFTkk5yn+xu5Z43ttHQFSCTGjCmYMmZR3fMhrdtNzmGZm5unAyv58Py+bDl7nj1ymkodbJocn8kSWrnaLFNXzUAsNL8TZj4AGgR6N7bu659E7yWDWu/jrPuP6zzjiF1kJjk2u1u7P/8njLxNdh2tM/mQMF2qH0TAgNPjQ22rGdL9yDaIw4iQXe/66IxDX/o5Px3u8sXZvqvl7KqvJ/Xbr/XYJi5+rDvQbsb1oIWIRZP0jV2Bdhe10G+ruaY3n9LMiEkSdIZTNM0/rx4F+9v3Iq2+S54Z2TPZIv6skUMUbbSnHI5xln/Ab0FjMmQMh7sg/nmmGampdZhKlqI1Z52zLHoVIXfXTOOf31lCiMv+iuKMQUG3wST/ywWqDoGD5lCZ8SGMdwI0T5KnKNBWHIO0Z0Ps80/hGEFQwd+0JlP83zuaprDydi9W3jkXTl6+nS3qryN2c6dKGlTQXcaNSiVjtqkwhR2BQpRY0HoLk90OJJ0xtE0jZ+9sY2nVlVhVgLoCIJzLCgKHWoBzkgl4627MGg+GPsLmLcUrukER3GiQ/98pE4RX49g2xiKCtP/g3reUnyaneqGSroMg8Vt7rLer8vnQ9QHe/5BqlbLJvP1OFJyAAh0N/d//vg5wr6BEzhHzF0GH18Bbev6XxOLonZtZYu3CL9mQR/19L3u44VsePcu5v5h+Uk5Ka20oYtGd4Cttf1sBQv0NgIfZqqmxTPwhLDORtE/s6VRXMjc3ewh39iEnhA4Rh6foM9QMiEkSdIZa1udm4eW7mbs1nko23+HpnfAnsfg0y+RsvEGKoJ5FMz+xaF3TJ+BrfV99OE2DDkXHLd4Lh6bzXkjXWDNhSvrYPp/xJudOKfVQHl4mJhG1ldj6aYPIeJBF2rh9Y5zmFSYMvADqgaumDGFutQbUBWN832/Hni9dEqLxjS2VtYz3LhbVIdIEjA43UY98UacXdsSG4wkneYi0RhvbK4jFuv9AL+6op29rV5+f8041n4rR/RDKb4dgLB1CIOM9Qwx1YrFI38gqoaNzhMf/IlizYELV8OQW45sfd4VPb2HRpt28b13fOK4J77dq209mqKj/ew1dKUtoDroIrX4WgzWTADC3nhCqHU1bP/dAaeOdIrkgyHmPj4Nni0u8TUwwFQ0zy4Mmp9aRhJR7ehifWxpi0Wg7i2mdD5AcWwl7d4BGmMnSEWLiLvfRE/8NdjuL2K4ueawFULOsKiI627bDYgKoaGmGnGjTAgdE5kQkiTpjLVoWwMjLVXkGNsIxvRE27fC7kdor1pGdTCDfygPkpnmOvSO6TMgFv/lGx/ffNzpzH0e3msS++WpffPQG2tfR1MMxDSFJd65jMp2HPZhLEYdE2f/LwBl3j6eq3TqC3XC9t9TVrmbwbod6IlAukwISYKiKGTkTiCmKUQ7ShIdjiSd1pbubOa7z29m9d7ebTTPr6smyaznsnE5OILxprnJYwGwpI0gz9jMCHMlEXM+6G2JCPvES58mejJ+Btbs6Yy2VbG2LkhXzInmFq/lh6ELGLfhYSY9XMP45d/kwt2PMndUHpgyAHAFPhFb1Hb/DTbfBaEOcUJNQ3OXEYyJnpDHY9tYzCiSUFH/ANvUOjYBEHGOJ6TYMGrdh64JNIIWQ0PhgfyHaOw6TP+dBOhJCB3UtDsSjVHf6RcTxoC96lSSdF5C3tr+TxZoIUnpEvd3VwDQ5A4w1BxPCDllQuhYyISQJElnJC0Wo3THGn5R9BKa3sYjkd9TFcjgJ/XfYUrJ48zf+SBzJp7V953TZ4ivScPAln/igga8maIHULT+oMbSWgxqXycQM7DGO4Y7rpiHUX+E/8QnjyGgJOOgGV8ocpwjlhKtZPV/YPOPeO2TVVzkXImGChkzEx2WdBJZMGEINSEXbXWbeg9qGrSsgrpFokmrJEnHbEeD6Aezr4FuIODlzsACnhv5RyyxDugsAZ0F7KJqLy1rNDolxtn2TeAYkbC4TwmpU1G1MH84D3b7c/C2iubcJbVdeKJWfn7ZKG49ezA/uGgC6XZTT0JoAf8GT3nvFrPWteJrzSsYol3sDeaKn49DY+nV1QG6oxbqG/f2uybSuoFgzIDTNY6wYsOo+Q5d5KsDYI13DC5DO63tA2x7S5CKVpHIanYfmBD62RvbOO+PH+HuFAmgSLrod2n2H7RlubMUmpaLb5tEO4eopqL3i6m4je4AI231YM4SLR2ko6ZPdACSJEmJ0LDxrzzl+q74YdgPuX7w17n3jbO5+aoi5kdivLutgfmjs/q+c/I40cQw+8RPaSooHE19fRqZ7j3iA5uiiBva1kKgEYsC3Tlf5ooJuUd+UkWl0z6VyYHt1LT7Kc5K+nyCl06490sbse54mipTFksqAiwuXoQy5GYwHXvfK+n0Mbc4k1UrBzFy/wqh8sdgragexHUunLcsMcFJ0mlkV5PoB1PfKRJCDfU7KTI2kR9dDEvmgNkFzlGg6gAwJos+QU69Fy1ZJoQGlCZ6D81Nr+Kd0jyK3SLB3eQJkGI1cNOsogPXm1J7v+/cDPGKItrWQM58qHgCgCxDvDJooAohTYPtv4VBN4CtsN9lZU0eciLJqL7+t4wFmtdRHhjEiNw0Iu1JmPuatuYXCaGtvmHMtG/F3VENDO8/vgToq0JoQ1UHm7d+xM0p69i4S2F6zEhuwUQoBX1wv9ckGhK9lqI+uLKeltrNJAMd0SScWiUAjV1Bii21sjroODjs5WNFUf6tKEqzoijb9juWqijKYkVRdse/psSPK4qiPKwoyh5FUbYqijLp8wxekiTpaHyyu5WKzc9QG3LRNfN9mPBbsp0W/nnjFKYPTmPO8Ax+c9U4zAZd3ydQ9XDRBhj/qxMbODAmx8lDzTegj3b2vnkBqHsLDWgIpVE87X8/83ljabMYYqqjobn6+AUrJdSS7U3c88IyZtq3kFz8Jf4w5EliqhnG3Z/o0KSTjNmgQ3OMIV2rxO/3QfsmtPXfod1xLrVJlxFr23TIFEZJkj67nY1uBptqexJCHc2iz01zzjfEqPXmD3u2iwGQ1DscQpEffAdmLYCiG7GkDEZ1DidJayUa7MLqXs/TBXdC+KDmzKoBH0nENEWMqQ+LLUla62qxHavlU2KaQrI+vmVroAohd5mY/Fb1/IAh7mnupi3iRA31U9ET8WLpWsNa72hGZjuI6uxYlP4rhLb6hwHgdw+w3SoBgpEotR0i7v17A/3mnRIeHvQgP8z6LzbPelojyYwYLBKddq2FQDg+MW33o2LIgb8Bwm78raWEYzpSdW5SlBaIRWhy+ynQV8v+QcfBkewneAK46KBjdwFLNU0bBiyN/wywABgW/+824G/HJ0xJkqTj56cvr2OKeQuWoitwDrrwgMbNR8xeBAb78Q/uMDKSTDRZRHltrOGD3huqXkQBXgtcR0HGZ282ac87B4BI4yfHI0wpgTRN48mVlXzjmQ3clL8BnRLFaYLJhlUYJ/6qt6mlJO0ne+i56JUYu1c/BKW/JqTYOW/VLfxzZw5qpJOorz7RIUrSKS0QjjI58ibLir+OKV694usQ22SMo78PKRPFQud+CSFTOhjiv9PllrGBKQrMeBJyL2HQIFGTsL1sHfmhVYw2lkDj0kPuEtCl0R2zoFW/AkBtKJNg4ypo34gS7uTOmu/x384vAhDy9b8tK9K2EYDm1roBQ/S2lDLRWoYt3E8Cp+lDdFqI1f6pFKZa0fR2rKrv0IS8v44oespDYqJaxDvw455oVW0+ktUuNo7+H8bp1xEIR9E0jWHe1xhmFD2Aptq241PTsNvTiCgmXIZ20YA6GoJt94lKfAB3GQbvTiIY6NLloVNiBD1VxLy12JRu+ffiODjspyBN0z4G2g86fAXwZPz7J4GF+x1/ShNWA8mKomQfr2AlSZKOVX2nn7zoBsxqkLShVyQ6nKNy1ZzZ7A1m07pnkTjgq4XuPdSGMvEXfPWozpmUM41QzICla3XvQU2D9o2yMuAU8q1nNjLynve4981S5gzL4Nb8VWDNh7IHIf/qnsk1knSw4onXsc4/kWH196PVv8s7HTMozClkzlSRLN5UIpPFknQsyhua+EHWUwBY/aJfTay7irCmw5k6CMbdJxamT+u9k6KIfoUgP/h+BgWF4wDoaNqBNdIgDja8d8i6iD6NQMyIEhaj0V/pmIdZ66R1zT1oKCz3TGF31g8B8Hv63+bVUiP6DrW0NgwYV5J3E6qiYdEO/mhNT4wBzUy3YzqqqoA+CYMSJRI+qGm0r44OLQNLsuhjqfoPTNi/vKGWzTX9jHs/ASpauplh30qqroMLHKtp7Q7S6XFzR+aTNBknEdKni4WmTFAUwoYsMvXtNHsCxHz1EGqnKf16AGJdZRhCTZiUIN12kTRtqV7Nfem/IIYOMuck6mmeNo62qbRL07R9f+IbgX2XG3OBmv3W1caPSZIkJV6gBWXF1VyZvIyYYgLX3ERHdFQuHpPFhtB0UrqWoTV/AvUiMfTVvfcyZ1TRYe7dN0VvYXd0BK7g+t6DLSvgvclQ+ezxCFv6nHV4Q7xT0sDUQan86QtjeWxhEvr2VaK0PHUyTP93b88pSTqIqlNZl/lbVC2MEvXyVvsU7l84hrlTzwWgpHRlgiOUpFObuuMPZBlEIsAWrkHTNAyBatpimSg6PeReAgtrIeOgKZBJw0WVkLmfvobSIdJcIokW7KwgmXgip/7dQy5waaZ0NMTvRX/MTHuaqHFI73yXsthEzHYXs4rz6I5aCPla+n28YIuo+FLD/fcZ6vCGyEQ0RDbj63OMfazuXWqCGXw1RyTgFaOYFuvziuTOPz8u5/EVFWi+OupDqRRkuvBrNgzh3mTVxuoO7nxpC394v6znWDga692OdQKUt3iZZhPdZqbYdtDsCdLkU7iz5nvsyv8VumzxeyUzswCAmDkbl6GdZneQtlbxGv1zRzaaolJbvYmf1dyKqmjEMsVk35ySmxhjLueTrL9ByvgT9rxOV8c8ZUzTNA34zJePFUW5TVGU9YqirG9p6f8vmCRJ0tFq9gR4c0s92r43AJXPkO15l2n27ZB59mceaXqy0OtUdBN+QW0og9Dyy9FKfklTNAvNOYrJBSlHfd5a3UQKlZ0Qje/37hBTHSi9D2In7o2EdHQ21XQAGr8v+hdXVZ2FuvVuQIG0qTBvMRgciQ5ROsnNnTydzT7xQeobEyOMyXWit2URUFMx+3bybslBV783/RDWfSsBkUrSKaZ1NcPb/sLbXefg1WWRo2+kzRsiKVpHl7rftXNrH9fRx/4czn5FJvQ/A8XoxBNLIuiuJMvQJpI+vuoDey8CZrsLoyKmq5YHc7FkjOdp+5N8seL3fHHnj1k4MZd0u4mOqIOov//Pq86gmGhmjPRT+VP5PJV15RSZ9tvaFejdgra31cuqzatRveUUGhuYYhHvv3T7EkK+Dspbuvnde2X8efEuQp4aqv0pTB2UglfNwBYV54rGNO59oxSAtXvb8YUiPL+2mlm/XcYX/r6q9/3w52xleStnO0UcI8yVtHe20eQO8nH3ZMyus9BlzQMgOSUPAL0th0x9B82eIF3topflmuYkvPo8WupLmJ28Ew2F5KFX0xhOZa82ki+U/45IzuUn5Pmc7o42IdS0bytY/Ou+P9F1wP4zmPPixw6hado/NU2bomnalIyMjKMMQ5IkqX9/fH8Xtz+3iUUljaKZ4K5HqYwMJs/YhFpwVaLDOyZXTB3Dn4IPsNubSX2skHtrvsrXzxkqSoyPUrd9AgYlQqRdXNVp3TeC2l0G1S8cj7Clz9GGqg5ud71IduNj4s977WuQc7GYDiWTQdIRGJllY3RSK0F9Bmd1/wVCosmqMW0sE5316FZ+Ed+SK6D0N2IUfdlDUPNygqOWpJNcNAifXk9rNINnYj8iZC4k39hETbuPdKWRoCl/4Ps7hkHWeScm1tNIp5KNNVxLlqGVtiRRkXLwtjG7IxubKpof7wnkkZ9qYfr0q1jbPQp3xMLVk3JJsxnpiCT121Q67G0iRRG3mWJ9bNPy1cHK67Hs+RNDTPv1Dgr0VvU8/tEufv3Gasojw1GUGM5pvwFAZxL9owK+Tv7wfhnFpnIK1d3EfHU0RdKYPyaLoMFFqq4NTyDMp3taKanr4upJeYSiMR5cspu7Xi1Bp0JJXScldV1H9Vp+Fp2+EGVVeykyVBJKm4NOiUHraprizaWzHGZwiYQQVpEQMiblkmdsJK31ZbxdInUQMbrY0J6JxV/OgswylOSxOFNzudX9Khds+zVb/MW4HObP/fmcCY42IfQm8JX4918B3tjv+I3xaWPTga79tpZJkiSdMJ5AmDe31OHUebjnjW2Ely6A7t3UBZLElaK8KxMd4jFRVYX/vexSvrD3QWatu5sS9XyumJBzTOfMKpwOwLbSj9E0DW/dRwB0RZOIVr50zDFLn6/tVbV8J/N5KPgiXFICWRfA6J+cspVw0omnxALYi7+MacoDcN5yMIoPI2ryaIabq3HoPHQ1bhLTdD66VGx5CDRDsJ+r4pIkQft68Fby89qvcN64YhT7IPKMTWyqbCJT345iH5ToCE9LfmM+Q0y1pOndRNJmwrBviO13+9FZMjGqUd7zzOWdrrPJT7EyNNPOjMFpTClMYWhmEql2Ix1RB2rooO1g8WrqynKxnbYqlIONPhIubesAcLo/ZZCp92Ox5m/s+X5O8C+8NewOhuh3sYqFGJJFnAazuJhT29LMmh1lvDL8Zzw35CdYFD9Gez6ZSWax3UrfTmNXgKp2kdz68ZjtjLPX8M+PK8hMMrH0nFd4b/h3WLZ+zaHxdWyBukWf4ZUd2LKdzUy2iAuLutH/R0xTsLnX9Ewby0gygWM4zFsCRTcCoFhyMKkRirxvEfbWE9MUHr7pQoypIxlurmJwdA3kiwu5X55eJCbDEU8uScfsSMbOPwesAooVRalVFOVrwG+BCxRF2Q2cH/8ZYBFQAewBHgO++blELUmSdBhvbK7nG6lPsnH0jcwwfNgz/nKWfQud9mlgOfX34o/JdbL6x+fxty9N4rEbp2DQHdsu4BnjzsIXs1BT/invlzZijnVQzxCcOg+7Ww/d6y6dPCLRGMmdyzAoYRj+bbAPhnkfQMaMRIcmnUr0Npj0Rxj8FUid1HvcORo14mZocowfVX6NNvtsaN/QM/3oj6+8hnvPK9C6up8TS9IZrHUVABt8Y1k4MRdz8lCyDa2U792KqmiYnUfX+086DFshhSaRdLE6C2Hqo6JP0/7MYpfK7+quZ7F7OgWp4gLK41+ZwpM3nwVAkklPZ9SBMSoS30+vruKN576P9oId3Lto2/shADXG6SSpbtBiBz5Gu0gIZcd2YFGDPYf9nt7kkDNaQ1vEwd+br6Zj8M96jhvjCaH61mZ+lP0EZs2DU+cBoDBPbO/V23JxGdpp7PLT0OlnnmMD6Ztv4J5B4kLe7XMysdY8wQhzJV92X0/Y25uIAmDTnbDy+kPjPkoflDZxXmopms6CLvsC9oSKSA9soMkdJNlqwNy1Hkrug7RpvdN6LeKCpjNSieZvpDPqYHh2KjMmzESvRMHsghHfB+Cy8TkkmfUYdSqpNuNxiflMdyRTxq7XNC1b0zSDpml5mqb9S9O0Nk3TztM0bZimaedrmmiVHp8u9i1N04ZomjZW07T1hzu/JEnS8dbaHeTNlWv438zXUFX4a8GvKdI2URIoBsAx7PoER3j8OK0GFozNZlTOsW8JUnU6uq2jccV28sNnV+AydOAadwvvKl9nROgdajY/wTtbG+jwhnrvFPH3f0LphNnR4GGubSVBXSqkz0x0ONLpJv8qGPI10nQd/KbgMb6++xvE0mbgG/tnAJprt6Cu/ybs/luCA5Wkk0+s+VNqwjmMGzqcdLsJU/IQVEUj2iImUznThyU4wtOTOXlIz/e2lEF9L7KInk0uQxuKAjnJFrHepMdm0gOgKAo+JQVzfDuYe9vfuUL7MwpRWjY/xHD3U5REpkJSMXolRsB3UMVk2zpiSm/iwq8TE7YCnt7JYKaYhw4lj+IFj3LxWeN6n4NF9IU0dG3h2tTFdLuuwusUv+PHFY8Saxx5mNUQLe1NuDvr+WO++Hd5lHkvs4amca1rLUQD7Mr+Cen6DipK96sGioUJN34KYTd0bT/8i3oYmqbxyZ5WLnKsRNFioIVp1AqwR+tpcgdwJZmh9Few66EDe2JZxFDydKURfaiJTi0+hSw5/lqM/QUYkgCwGvXcdvZgZg1NQ5F9tY6LY24qLUmSdDJp7Q7yxb+v4jrzYxhUUC5cQyjvWn7Y8FO+VP4LGnO+g27IjYkO86SVmnsWY61V3D1b/KxLHslZl/yBbYHh2LZ+l1+8uJjfvRdvyqhp8PFCWHVTwuKVhOUb1zHfuZJY1gWg6hIdjnS6sWTBtMdRJj5Arr4OR2Anf9U/yTdXjiAQMzI1pYkd3hxiXTsPfy5JOpNoGtGWVaztLuaScaIyWbEPBuB7mWIEfbpreL93l46eM31oz/c6ez99muI9bLIMbWQ7zBj1fX809uoyMdMNoU7m6N6gKjaUmKaQVvM3UnWddA+/G4NVVBt1dMQrf9o3smz9Kjz1q1kVmUdIEwkmj2Mmmgah7t4KIQtuAoqDc4szD6j2NluSRfwB0XsoqellbPoYOEeTnCWqOB0p4rm1t1WR6VtBiq4TshdgDVXyzFfGYKj+LyQNJ32SqLDpai7tOb/Wtg4D4sJeuOlTKP017H36cC9tv5o9QdRwJ0m0gDEF9DbChjRsWgdNniATnPVQ9xYM/46oSO15AUSFkFkNkRktwxdPmpE+Ay5aD0NvO+BxvnPeMP7z1bOOOk7pQDIhJEnSaeVXb2/nXOU5rkpegjriu5A6EeOc57lq4ff46ZUzyZr7MBiTEx3mSUufNhGL4uX6vPgbBscI0hw2OsY9jlUX4t/DH+LtLTV0ByNQ/w40fgApExMb9BnOH4qSWfMQZjWMJWt2osORTmcFV4M1jzsL3+VPi3fx4a52/OahzM1qpT7gINq545CxzpJ0RvNWYgg1sck7knF58fcedrFFLMtpg8w5qPaCBAZ4+nKk9VYI7Uv8HCI+1S3b0Epeav/99joN4lzRzu0U6Ktpt0zFYxyGBqz3T2DK1Msx2URCyNMlmkUHP76WSTsuJEn18HbDUGqUMaC3oznHoiig+XrnLlnxENYdWulttYkKoVz2iAPFd0DhtXDJNjClAqCziefW3VGDMRivOhp0A6BBwwfQ/DEU3UiqM5XmSLoYFBLXtnexiDlqIVDxItrWewjs+k+/r8PhlLd0M8u+GQXAJRp5O5w5OFQ3Vc2dXGN5DnQWGHbQdMp4hRBArqGJsCFT/KAokDpZTtj7nOkTHYAkSdLxsrqijVFNv+DW7DfEfuOx9/bcNmNIGjNIS2B0p4iUCeJrxROg6EUvGuDsKWdDyqOMWXMzNzhf4Z3NxVzb/ANwjMBdcCsrtzUyf7RLlu8mwJuba7nYsQwNPcqQWxMdjnQ6Uw0w/NsM2/kIQ5NDXDtzPCm6cWgNi7nY2YUhFhGTc06DHm2SdFzE+wftiIyhKC1eEWHJFX+XCq+DCb9JYHCnNyWeePPhwLp/Ncr+9DY0QzIuQxv5Kf0nhLwmUcXlr1mCQ+clbC/G4bTir2igauSTTNGp2B0usdYtevREvfUk60T/ylFj5mEtmgdqDaaQqMcwBip7zm9XPDTqDr1YabOKPm3DzfG1Y+/tafbfI15dE/bUkB6tx684sGTELw4FGsWkUccIANp1g0gKlffc1V+7jF2BAqpDLs7XLQOguaWao01R7m31ckWKGEiyr2F0TlYh7AFDtIMxfCQGX5jTD7yjMQVNMaBool+lJn+HnFCyQkiSpNNG+spzuDXjDTFFbPqTB5ajSkcmeay4GuOrFskh1dB72+Cb0PIW8v2sZ8krvRk8u2DSn7nnzTK+/vQG1ld1JC7uM1j15idx6HyQNQ/0pkSHI53uir+LfmEFi3+0kFvnDAbHSJRQGwY1AkCk89j7UEjSaaN1DQHNjD5tLKoav2Ci6sAxCvY+BZ7yge8vHT1jCprejsVZOOAyxZrHWS4fl47P7n+RrYhgzIBa9xoAuuTRKCnjseLh6gkiuZHkFPcPeFsgGsSq+KhQp0LeFfzPRZeSPfJKKL4dW5JYZw3VAKDFYthVLzG985CH1RsM+GImknR+urWkQ5NBAPZBhDGREtqBS9+MX58NtkLR9L+zRFTqxCtwQtbh5OpqeGZ1JXN/v5g03zp2RCewLTiq53TWWCuRqGgw3dodZEtN54Cv3/72tniZYtuBhtozWj47U2xpyzE0Y9G6xISxgykKSrxaC8Bgyz10jfS5kQkhSZJOC6FIDFOklS7FhXJpGeTMT3RIpyadSezXvqpFjATdn6KgTH4YvU7PLPMKlupuY0nnROp3f8Cvcv/Ksyt3JybmM1hNu49rDP8AQBl9d4Kjkc4IOjOo+t5qwHjTT69RfOiq2ysnjUnSPlr7Bkr9gxmTm3rgDTOeEmPLl86D/bYOSceRoqA4ilGShgy8zprLKKebc4sz+12SlWyjIpiLtXvHhDm/AAAgAElEQVQzALaMMb0Njzu3ApCcIqpaIr4WQr4WACptl8Kc1w+4uGawiXUWrQPC3QSD3RjVCDFD3+0MfDFxcbNT6SdJEmwjoiYx3baVHEMrEXO+2GKVPK4ntn0saSNx6Lz8ddFKPJ42Pug6i0DGRTRbRKPqnf5CUnRudjaIJNAD75VxxSOf8t3nN+ENRvp9ffapbu0iRecWfbJ0opG2ahGv6yjL3ngQOX3fOWNWzzh5i0MmhE4kmRCSJOm0sKWygSxDK20ZXwSHnNhxzMzpfV+JsuWjn/VfPjV/g1s2XcrfXn6KJ4t+zpfS3iNc/SbNnsDA5/VWw5pboX3T5xP3KSYYCtDpbj/8wn68tbWe3YF8ononZMj+QVIC5F4G56+ACQ8A4K9fkeCAJOkkEYuitW9iq28IY3IP6g+TMg7mLRbVG6b0vu8vHbvZL4lx8wOx5oGvdsAlI7IdlAdFpYs7aiU9Y5D4fwg9SReTJZWophILttLVKXr57Gs0fQDTfse6y/F6WgFQ+ulv6UdsZfMa+mmMrTNhibUyzFxNjqEF1RZflzIe2jfAum9BvOF/Rq5oC5BvqOGBL52LbvazzL/wa+hdMzmv7G+85b0UnRKjdK+oXNvZ5CHNZuStLfX88q3DV39WtbrRKTEo3G+arzmeEDJXiJ8t/SR7MueiKqIHnTOln55P0udCJoQkSTotVO76CIMSxVV0bqJDOf3lX8n0hY/wxBcyeHb4r9Db84kYM7jUuZxvP7uJPc3dfd6tyx+mvC0M5Y9D09ITHPTJaeMrXybwWjG76+oPv3g/9Z1+XlhXzZsbK5nl2Iau4Go5XUxKDFUHmbOx5cwAwOrb0eey7mCED8ua0WTTaelM4SlDjfko8Q1lbG4fF1hSJ8GMJ0RlrvT5sBcd0LC4T5Y80fssFu53ycjsJPYERZKiIphPqs0kpmhZ86Fji1ikqHhiSaihNtydoo+Qxe469GTm/SqRussJeEVCSDWlHroWCMYTQhFLP1vfjClEjemY1Agpeg/mZNE7iSG3gmuu6An57gTY/gDJGSMBOCernXOLM7lsfA7JViOj4gmvYYPEZLaKmgo0TaOiuZtLxmVz25whvLC+hmU7m/p9jcLRGJo3XgXkHNF7QzwBdllBs/jZ2k9CyNX7/j0lTTZaP5FkQkiSpNNCsHElALbcWQmO5Mygi3ZzTuMtmPQ6DOe/h77oBi5wbqCuqY4vPvohns2/heYVPROHuoMRrv3HKi76Rxkhy6CeRptnspa2OiZF3yTL0MqKN37IRQ9+zG8W9TOlKRbuOa5pGt97fjM/eqWEdN9qbIoX8q44wdFL0kEsuUQwkqE20LLzFYj4D7j5N4t2cNN/1vG1J9fT6QslKEhJ+hx1bD0wqdC+AYBqRlKUbk9QUNJhWXMBDfwN/S7JTDLThEi01GuDevtBnfveARVIXpLRRzrwe8S5bI4+miMbnEQRF3Bi7t0E/aJKWGdO6fOxQ4rYMqbEh3z0Rd03EASw7ksIpYwT8V1eDjkLoP5tsBcSU818dWzwgCEg0wan4bQYGDdE9PdpaKqipTuIJxhhcLqNOy4YxoisJL773OZ+ewrVtPvI08dfw/1jNaYCCsmh+MWC/iqE7INF3yNAb5cVQieSTAhJknTK8wTCZIY20a7mH3jlRfr8dGwBXw3MfkH8Eh/0JXSEeP2SSr7geIOk7T+GJXPoXDSPaEwkMHY1eTDpdaxxD0drWXnGj6cu+/QvmNQw7ZbJfMnxEjdbHiK//E7C70wAz54D1tYvWkjHyyMIextYVNLI2sp27lowgj/OrELTWSDr/AQ9C0mKUxQ0WyEWNUTGxmtg+YUQdgPQ5Qvz1sZK5uW6WbG7hV++LRtPS6eZ1rXw7nioeqHnkLdxDb6YiSljZ6BT5QTOk9a+kfSH2TaGUzRebtcNOfDYftvrA7oUTNEOgl5RDeNI7qM6SVEI6tIJxAz42soI+doAMJj7noQbjieETCn990JSXHN7vlftB1XXWLLg7FfhnHdA1aM6R2L1lR6wpCjdxpZ7L2RwvngMNdjMh2UtnJe0hvODf8CkU/nPV6eSYjNy47/X0tYdPCSGihYvBUZRGYV9v1hVndgWGfGCzgoGxyH3FU9CEYkrgxP0MoF6IsmEkCRJp7xHl+9hgmUHSvqMRIdy5sicDVdU9iYiUqdA5jlk7LmXO7JfZIVnAt+vvoP7S6fwzWc2MLz1L/z1ggA/uWQk7zcPQQk0grcqoU8hkWLRGIM6/svO6ARSL3wVk17lqvQ1XJf6PkF3/QFNF+va3SR3LiUlvIvql2Zy/6sfMSIriVtnFeByf4CSfSHo+x+XK0kniqHwaqKayv0tt6O1roJPvwTAi+truD39XzyefiM/mK7w2qY6Suu7EhytJB1Hux4WX72VPYe6alez3T+Y66YVJSYm6cgcYULInjme3zTcxA7zwn7XaMZUbHT0NJVOS+1nu5o5g0DMRKhzN9GAqBAy2freMhZWkwBwpA3QHzN1Su/31j62WykKGOJJlrSzoG0taLH9Ao9/bxZb3NL1HTzxaSVfTF1MXuOjUPMK2dUP8Pz5ZXT5w7y26dBG6Dsa3BSaGtD09kP7YpnjfZOsuSKW/uRcDElDIdja/xrpuJMJIUmSTmmVrV6qtjxLpqGDlEGySuKEMu5X3qwoMPNZMNgxaR66ht/PNVf/mBLDZezZs57/y36KBb6f8oWJ2ewMjxb3OYO3je2prSTPUE8w63KwFcCIO9AH69ArUVZ4RuOP9faUeOGDt7GqQVqNY0k3uHli5N94ZfQD6BaNAl81FFybwGciSfsZfBM7il/giYZ57Er9OjQsIupv49MNS7k5/U1ULcLXLA/iskb5/XtliY5Wko4PfwNUvxj/Pl4hoWmYAxW0GUczKN2WuNikw9u3hck/8LS3kTnJ/KPlGuzJ/W9nUi05ZOrb6e5qpDtqxay5+1wXnf40q7xjMfgriAY7ADBb+64QisWrZVIyBkoITYx/o/Tfo2eftGmietNdJiq1S34JK64WSSGDE001Mjipm+0NboaY4/0NP70eSu4lp/YBJuQ7Kdz1DbTK5w44bUldF8X2VhT7kEOTPvsaafe3XWyfov8Rk25ltf8JJRNCkiSdsl5cX8Pt/3iWX+c+RNg5CYq+kuiQzmzWHJi3BGXiA1zqu4uZqVU8fcs0Hp62DQDFvRN99dPk5QzBHzOf0QmhsnIxlSQ3f4w4MOouMKYRU0yMNu7kg1LxxrSqzUtX7ccApIdKcSrtFBv3YAtXg8UlxtkWXpeQ5yBJh3AUM2rS1RSkO/l35VjQYmzf+BLftf8RFB2YMjA0L+ahse/y8e4WmtyHmUooSaeCiidF7yBjCgREQigc05i2/Ql2u+5KcHDSYRlTQGc5bIXQqByx1SnLae53jSm5iBS9h5ivEZMaEhO++pDkGk+dNhRbtAElKBo1W219J4Scgy6gzDgfvWmAbVTmTFHpZMk+YMR9n9Kni6+tq2DV/0DJvWIbVywCioJidjEi2Y9KVGwBy5gFigopE6G7gq9O0DHduIKWyo8POG1pvZsic+OB/YP2jw8On6ySEkImhCRJOiX5Q1F0a2/mzaLbcBjBcPZzoDMmOiwpeSwMuRk8u2HvU2TYDYwOvQXZ88WbiTU386BxAVVBF6GmlYmONmEa60VzxfSs+CQOoxPmr4ZJf6LA1ETZ5lcBWLqjmUmWnURMOfAFt2gOubAWLt4CF3wimkkPVH4tSSeYqip8eXohL+3NJqJPJWPv/Uy0laEoMRhyC+ReyuTIa+i0CO9s7b+JqySdMjo2E7UOYm1nAZ3tNQA0dgVIUrvJSuljuph0clEUmLcERnx/wGXFriTuWziGKyb0n9RwpolkSLquBT2RvpMjcUHrcFQ0Un0b8UQt2K19J5qKz7qV4mveO/zzyJ4PaVMPv85RLPr0bLsPKp+BMffA9Cd630ObXRRYPeQYWjEqIXGx9ZpOsQa4MH0HXdEkmtt6//1u94ao7/SSQT0k9dHrqKdCKOfQ26SEkwkhSZJOSRt3befq5CU0pV6DetkOcAxPdEjSPsYUyLscqp6D+kViW1PRjeLNxOifEtXZiaGiukshFk10tCdcLKbhb483jbbt11siaSjq0FvwKSmM9r9Cfaefj3a1MC1pJ3rXLDDYxJtLmQCSTnJXT87DZDCy3D2JLLUOn5qGosUgYzYMvQ19qImvFJbwTolMCEmnAc8uGmKFNASTifrEn+maDh+vDr2TixqugVDfU5mkk0jGzMNWryiKwv9MLyTV1v/FR1uK+J2eZWgVv6r7So7sO1+K2OblCm3EE7VjMeg+e9z7O+sxOPu1w69TVJE48lZC8niRENr/fYXZRYrawUh7fMR80nDQWyB5DJjSsHSsoFtzoAt39NxlW10Xmfp29AT7ToId6ZYxKSFkQkiSpFNP13byt4ntYcmTfiRLUE9GRTeKpoCffEG8OchbKEagjr8PNX0GKXoPei0gKonOMOU1uxlhKCWoS+1t8riPzkik4AYucKzmyeXrqajeRZa+CdJnJiZYSToKTouB2+YMZk1wGgCGzHjD/4wZkH0RWPO4MfMDNlR1UN/pH+BMknSS0zTw7GJzVwYtkWSsUdFMuKGtg0GmBuy+LbB8PoRkE/UzgWIrBCBF7xEH7P0nhNKzx+CNmtETwqPZDxgDf3QPrhz5BaN9Q1gmPiCmgO3P7EIXauZPC+LDKtZ/O76dTIXMc6DpQ3w4MEZ7E50ldV29E8ZscsvYqUYmhCRJOvU0LacgtgmP5sCUMSnR0Uh9yZ4ffwOgiHGn+03BUjLPxqWPT5Do3JKY+BKoa8dTXOhcg2Ltu3TaMfp/MaoRgnueZpplgzi430hZSToV3HHBcH76jZ/D7BcxKGFwjhHVg6oeCq+jILQGsxKQ28akU5u/ASJe1rSmE9BnYlEDtHS04mkrByBacJ3oz6IcY/WHdGqw5hIDLEp8LPsAW8aGZTnYHhC3+7SkExDcfobfLt6bZV9w6G1mFwSaSQqVA6qYGKbqxW1Z54O3kmGG3SRpLT13Ka3vYm56pfjBOfLQc1qyxFdr/nF9GtLxIRNCkiSdcny1HxHVFJqs54grFtLJRzXA7Fdg3lJIGX/gbZmzURWIaCqRtk2H3tdbAxHvZ3/MiE9cxTrJpXQuJhTTY0ju400TQPJYYsmTuCHzI85zbkQzZ4uybkk61ah6yL8GvNViu9g+meeiaCGuLqjl7a31iYtPko6VR0zL2xvMZcZoMUGzZE8ZIfdeAHTDvwXnfnBoNah0elIN+JR0FAViqAMmQIa5kij1i4SQnxOcEDKnQ/6Vfd9myQEtCm2rgRjkXtZ725BbYfJD2JRuHErvlrHGrgALkj6E1ClicurBci6FGf8VI++lk478JCVJ0qmn+UN0ikbSoAWJjkQaSOZssUXkYGnTiKGnM5qEr3njobevvQ3eP0uU4h+BaCy+bvNd4n7R4DEEfXht3UHueWMbH5TUQ3flZ7tz2E1BdAN6JYZiL+p3mTr4yww3lDE/eS1KzkWyb5B06lIUuKQUJv+591jmbFBUrsrbw5baLqrbfImLT5KOhXsXABHbMCYME0MCyqvLUbyV4nb7IPnv9xkmYhTbo8K61N7Kmj7YTXrqFHFhKKA6TkhsRyTvCnFRrz3+/iz30t7bVD0U305IsWAk2PM+LTlaxWDdzv6nnuqMUPRl+XfhJCUTQpIknVq6q7DGWghpBlwjrkp0NNLR0FsJOUUzRb275MDb2tZBw3vgOh/t7ZHQWdrvaRaVNLDgoRVM/OUHlG5bDrsfEb12dKYD1lW3+fCHDt+8OhKNHXZNVZuXi/68nBtaL2XypjFoi8ZC2HPY++2jNSzBoERRlRgMkBCi8DpQVNRYAHJk4lM6xSkK6PaboGNwQMpkxuhFheDbJaJKaMn2Jlo8n29C91hpmsYjy/fw9OqqRIcinQQ0dxmBmJHCvOHobGIbcFVdOeZgDRH0cqrSGchidwGg2g7fLyeYNA6AkHoSTaOz5cOgL4kqIWNqn0NbwooVVdF6qrln6pcQQ4HCa090tNJxIBNCkiSdUrrX3w3AlqTbwOJKcDTS0TJO/BUfeGZjjTRCoLX3hm33gTGF2s4AiqcM74qbQDs0UeMLRfjBi1sgGuD6jOUY132VkC4Nxt9/wLraDh/n/+kjLv/rJ1S29r8Nrabdx6T7FvPXZQM3uX51Yx2GcCPFlmrsajcbUn8CSv9XAA/mrXwTbzT+wdg2QELIkg2u80Xfiaw+9vhL0qnONRdT1zrOLrLyrxV7eWl9Dbc8tZ5vPrOBWOzIqgMT4YH3dmIv+R6Vn/ySx1dUEAifeZMSpV7eth3sDeYwuSgdzKJPihpsIlmrxaPmyG3tZyCTNQ0Ag6P//kH7WDPG0hJOplNX+HmH9dmM+CGgQO7lfd4cUcUWyJBPvH+bYNxInTIarHknKkLpOJL/SkmSdOrQNMJNnxLRVLJn/irR0UjHQM25gO36i8QPrSvFV18d1L1FbNh3CNctpjNix+ZZT2zX3w+5/5IdzfjDUZ4a8zg/TvkdLkMH39zzdZ7eeOAkl398VIFL30xrd4Br/7kKX6jvHkOfbCvl7cKv4Nt0P/9dVdlv3B+WNXPXoPcAMKlhHtyWT1Q197v+AJqGseENvLH4+oEqhEBssZn5LBiTj+z8knQqyZwLsRB/GL+CzNhufvjyVkY7Wtha1chz66oTHV2fNtd04i75K19Jf4fvZL/Or94pZfS97/PqxtpEhyYlSKxrFxXBXKYUpoApDU3RkWfuIs/QTMDURy8V6fS3r19aeh9b5g8yNCuNs3c+zibjSVZZkzwKLloPUx7q8+aoTlQ0dXuaAbApHvy69BMWnnR8yYSQJEmnDA1o8Rsoi44jL/0kKq+Vjk76DPwxE1rjEvFzl9getrotiyLDXpbrb2VV91gCm+5F85TD4jnQ8AEAb22p5yrXJjJaX4TRd6O7opxI9qX8/M1S9jR3A9DsCbBs8xbeLb6Djyb9mltsf+U/n1T0GUpDxccUmJr4v+yn8G+4u8+r/i2eILUNVVxkeQsldyEAIyPLeH1T3ZE93+5yjNFObGqAcP4NA46jBcA5Cgq/eGTnlqRTTdoUAFx1D/Pq8Lv5ac6/eXvQ11gx+tssXf4CTe5AggM81PrSzfw053FiJhdOpZ1nr9KTajOydGdzokOTEkGL0R3WURsroijdBoqKYnYxKTNInrEJbIMSHaGUCPuaKicNPezS4S47Ac2M1Wz8nIM6CqmTxPbePkSNKQD4u1uJxTTMip+YznYio5OOI5kQkiTplLF+Ty2DDRWombMPv1g66RXnpLHOO4pIfTwh5BbTWnZVbAXgiotv5WPzd7HGWvG+ORlaVsCmH9LlC7FyVz33Zj0CyWNhyG3Ylkzg0XFvYzGo/HrRDgD+/mEFDUEnsbyrcLg/5svpi3nq421sr3cfEIc/FIVO0cuow3ke1zreZNGWmkPiXVe6kReG3IWeCEy4Hy1lIldmrOXPS3YRivTRf+igptiNu94F4LbmRzCc/QyocgyxdAYzZ4otNhnnYLalc0v6qyjZ80mxW/ljzv38/I2Sw5/jBNPXvYRZDaFO/zcoKjPMq5hUkMyOg/5Nkc4Qisr1df9gg+O7KPua5ZqzGO1oI8PQSXLGob1XpDOA61wYcgu45h126dBMOwadQqr1JEwIDUAzimqggLeZQCSKXfUT053gSWnScSMTQpIknTLWblyMXolRNOL8RIciHQfTB6exsns8hu4d4G8E9040vZPB0TV0qvmozhH88Ms3U206G7vSRbVpDnRupWTd81zpeB+n1giT/gSWLMg6D2vZfbw46QmW7Wzmz4t38fTqKq6fmIaj/X0wpGBRfCxwfMjFD6/gvre398SxqqKVoca9BIwFJI/9Bk69lw0b3oFQh4gLQNMYU34zmYZOlHkfgHMUSuG1jDJsY77uOR5bcVDlUd0iWHI2BNsAeGT5HtasfoXmcApJmeNO1EssSSe3lPHgrUC5cCXMegHmvo1h3M9I0XvYs2cdayraEh1hjy5/mGmIpC6KAumzoO4tRmU72dvmxRvsezuqdPpq9gSoavMxdVBq70HHCCydnwBgSTlMFah0ejImw7THwHj4SnarUc9LX5/JjTMGff5xHUeKJRuAsK8ZXyiKTedH09sTHJV0tGRCSJKkk080AN4DKzTavSH89Z8CYM6amYiopONsmCuJGsN08UPTMnDvxKPPY7Z9M96c60BRUFWF/Iue4d/Re7lmy7eImPLIrPkD38l6CS19FrjOE1PFpj8BxXcw0vsCXxvZwkNLRXPo/xuyBHy1cM6b4DqXe/L/y8/G7+TZlTvZG28y3VzyBHOSNmJIG4uSfSFRDBT6FxN+JR9Kfg6BVnwVL1Gg7GSx5ccornNEzCO+j5Z/DT/LeZyyNf9ic02nON78CXxyDZGgm00vLqTz6TRml1/MvJQtaJlzuf/KsSf2hZakk1XKBLFV1JAstkcqqpgUCJxl38lHu1r6vevGTYv5dN3Snik3n7d1u/ZSbK4kphjElf/cy6BjM+eb3kbTYGfjkU8blE4PGyo7AJg8KKX34OSHIHmC+H6gwQGSFDchPxmn1ZDoMD4Tg00khDRvHb5ACKsaRDHICqFTlUwISZJ0ctE03G/NpOX9qwnv/FvPtpt73tjGOMsOQpbBYM5IcJDS8TJ85Bw6IkkEqt4C9058wRAaCpkTv9WzRrHlc9n517Jk2M0sc09gpzsFl74FZew94ko9iK/jfgGmNH6S/zzXn1XATy7Mwbn3QcheAJmzYcqjqKqBr2l38qf8P/PI8j34PY2ktb2JU9eNLmUcGJJQXHO4JH0LH3eNIlj+DNrrhYQ3/oTyQB6Dp97aG7xqQJn1LFHnBH6c8x9uf3oVNW1e+PhyYgYnG1uTGKeuZGNkGkOsLSTRiWvYAtLtphP8KkvSSSr5/9m77/iq6vuP469zd+7N3oSwwgoQtixREByodQvW0TqrttbOX6t2qp22tlZbax3VSrVq3SLWiYAKyN4rEDJIIHuvm9x7z++PExmSIBLghuT9fDx83HvP+Z5zPiconrzvd4yGUCvUbtu/LWoQuJM4M2kny3Mr2z3MNE1sa3/I1B1n0fxSb6g9/OqAx0LVjtetZZaTp1kh9JDboNcsRuz+IZfFLmDLXg0b62lW5VfhdtjISjugJ4gnEc780PqSInFS2GoTOZ48kVYgZPOX0NxsfRmmQOjkpUBIRLqUmqYAf8+dRFLzSuyrb6Oi4GPe3riX+Rv2MDV2B64U9Q7qTs4flc57tZOx75kHTXuIDhay0TwVZ9TBS7AmpWYS8vQmLbSVJEcVLZ4Bhy7H7oyCYXdgK36X308t57rYF6GlEkb9ytofkwmXFsHAb3B2zAqWbVxH4M0sTotchQHWfESArfeF9Lbl0Ro5ArdZT35zPDGtO3m+6TrG9P3cKho2J/Zxf6SXo4QLIt7gF3OfhZYqbM3FTHQtZVf6L5h5/f+IvHgdDP8J9OtiK4mIhFPcaOu1ev3+bYYBSacyxrOF9bur210ZMKesnjvyv8mvKn8BwSZKV/zquJea2fQKALZBbaGwwwfT38SMHcWNyW8dMjeZdH+r8ioZ3ScWl+Nzv065YiDjOi05L92WJ9L6YtbeWkZzo/V3n82lQOhkpb+pRKRLeWpJLgnGXgCKW5N4auF63nj3Gf4x5Al8oXJIPj3MFcqxNDglinXGOTjNRgAagy5KU647tKFhED36+2RF5DAlciPOwTfs7x10oCG3W6t3LbsOtv4J+n9932pGANic0O9KHLQwM6WI96tGEWFrsfa1BUJkXAueFM51vgRAf1chOc3pxAz92v6JQw/U62xIOZMf9H6F6d6lANy59yds7/8gg6fdbbXx9YMxv+twxQ6RHilqCNjcUPQmNO7Zvz3xVOJD+UQb1azJrz7ksEXbyyhqTebaC+fwRs3ZxJe+AI1HuNrfUcprSiSAA9K+sn+jzYkx4FqyPNnc1nDhcb2+dC2NLQE276m1lpsX6WFsbmveLGegitZmKxCyu7X678lKgZCIdBl1za28sHQz1yW9C4lTSXOV8WPXd3k07U7O9cyHoT+AAdeHu0w5xlKHnE9FwApKrs79HSMnXNVuO9uAr2M6YzAxMDKub/9kDi9Mfgoad1u/aI79w6Ftkk4HRxR3jc5hh70tYDQc1i+nAK44GP9XCDZA2zKqjUPu4ubpgzu+iZG/xNlazvWxL9AUOZI7br2boad+r/3QSkQsNofV06/gJXi9N9TnWtvb5hE6PWodW3euP+SwxdllPDf4N/RfMoo5cf/DMEO0rPw+mO2s9pfzFKGST9rtaXSkgiGTWIops2eC83MTp/b7KibQx55PyK95hHqKdburCYRMzkzMgYJXoGxp+//+iXRHbcvOu0I1tPhrAHCqh9BJyxHuAkSkG2jIt/5JnGL1wDhKb28sZppnMW6jGcbeT4szmb/M+4AxfeKYNWECRGqCxu7o/FF9+N/W05gdv4DefUfTK9bXfkNnJMbo30FDHvj6dHzC5GkweS54UqBtJYyD2F3Q6xx8Ze9y56RrYJsDTn3W2v6ZvnOgboc1h1XVGkaeeuvhl4lPOh0Sp2CULyOi34VEaJ4gkSMzfR5Ub4DSj8HX39qWMBFsHn6T/ijZJYuB5fuaN/kD7CnczOjBG6Df1ZSZvfnPiiJ+aDwH6+6CsX+0GoYC0FpHaPmtNIbcXJ3/IL+7fg5ZvQ/+FruwqpH3t5Rw7ZT+2G3tB7gltc30de7BHzHh0J3edGpcQ4htyaakcA29Bk4/Bj8U6eo+zanAZpiM23UNZNdazz5f9Ye7LJEToy0Qcpt1BP1WDyGnRz2ETlbqISQinZf7DOYHZ0BLTadO8+raQr6WvBAzaggkTsYVO5A7r72VWTOuUBjUjQ1OieKV0Le5bOf9XDb+C/6ch9fZ7bMAACAASURBVNy2/xe+w8m4FtJmdby/z2XQVATbH4K4sYfO7WMYkPUzGPlzmPaq1ZPhcAwDsn4Jht06t4gcGcOw5hIaevv+HnV2FyRPw+5wMd61gsKCjdb2rX+i6fVMroqdZ30e83uSp/6Bd41bWNByoTVMtLHQ2le6iNBradgI4DJa+Fv6r/jGv5ZSWNV40OX/s7yAe9/cwl2vbCAUMqmuyGfLf88mZ/EvMJutZe8Ly2vo7SrFiGq/l2BT0vkA1O5efGx/NtJlLcmp4PQ+JkagFobfCTPeVY9Q6Tn2BUKNBFqsQMgdoUDoZKVASEQ6rXznfDY3DeT653fx4bYSVuZVcufLGyirO/Jvy4qqmygq3MJo9waMjOv0YNXDXHTKMOoiRnD28JQTc8F+V8HIeyDkh6TTjs05086FyysgfvyxOZ9IT5Y6E2+ogoBpo2ztQwD4d71AfDCHbyS9YfXK8/XFMAzOzerFb3IvAEzI/691fOlHGKFmmkNOqsc+TT/nbmZ53+Unr27EbFu9EiC7uA6n3eCl1YX88d3tbH7vx2QGFjCw6Ddsm/81ACrKduAwQnjjh7RbavSgSwFwVSw6bj8O6TrqmltZt7uac/o2WBuSpkHKjPAWJXIi2V0EsOM2mjFbrKGyCoROXgqERKRzWuuJbVhFaTCJu/g6z7zyD7722CIGFt2DY/4gWP3DfU237KnlJ69u4KwHFjP63ve4/B9LeWfTXlbnV/GrNzdzaexCTAxrImDpUW48bQCf3DkTj/Mww7KOJcOAkXfDuWus5eqPFZceiESOiZSZAOQGMxlY9xI0leCsWUt2c9sKhAP2/3/i3KxUcv29qXCPgvznAQiWfIQ/5CLXGEfysKsgYSI/Sn+FNTkFzFtXuO/Y7SV1nJvVi2sm9eWNpZ8yIfga69xz+KjlHJKbVgLQVLkdgJjkzHZL9aVOJmQaxPi3AlDT2Mozy/JoCWhOme5o+a5KgiGTCUltE55HZoS3IJEwaMWDwwhibykBwKNA6KSlOYREpFNa936I0wgyM3IZJgYPZL5MtqeJSTWvUeBPJTb7YYzhP+aDXBvfeX4tdpvBpAHxfLPvEjbvqefe/w5hb2sSLrvBfSM/xkg64/Dzw4gcS/Fjw12BiLQnbhw4Y/B4kolu3kLdJzcTRYg3nXfxf+efDjHD9zXNTI2if4KXd+pmcI3/IajeCGXL8NhaiOp33r4hnVGLL2Bz1hWsXDOW1lGr8AdClFTXMmGcnatmns6MunswDBh+1n0sXvAECf73CNYXYtblAOCKHdp+rXYXtcQRbZYB8PdFO3n8o10UVDbys68Mb/8YOWl9srMcj9PGAE+ptSGyf1jrEQmHgBEJZgNefx4ADq0ydtJSDyER6ZSy7HmYJlT6pmBMeIQ4/2Ym1f+Nhvgz+dquX4MZoGb9g3zrP6sZnBLJwh+dwZPXT2C290XuTvw9S4fdxCsX1/DpLT7iQgXqHSQiItYk7ikzSWMnW5v6E1X2Jv6Qk14DZ0DsiIOGFRuGwQWj0ngoZzwhwwUfz8ZOCyETeo+YbTVKOx8mPkZ51EwmRKxl8bo17Cip48bEN/ha2Zk4S97nzDOuxhh1L57YAdiTrAmkKwo+xtOUS7MZYU1U34Eqx2AcRpCW1T+hfttcvC47T3ycy8Ltpcf1xyQn3qaiGkb1jsXZlAcRaWD3hLskkRMu6LACII8/39rg6GBBEOnyFAiJSKdEls3DMCBi7C9gwHXgToBgE77x95I1dCzv107BlvMoXpufJ649haSottWXzl0Ffa/AIMT4gpuJX3M12L3Q9/Lw3pCIiHQNaedhby5kk/1sANY0ZnJ6Zvs9SL91xkB8MX14pupSqMsG4DnHHzBiR1gNDAMG3UKCqwmAvHX/YXtxHTOiVmEjCEuuwNj1LxyBGjBDJPSZRKtpp2HPp8QE86k00g87t119zFQAXNvv4+7kB3hqdjyZqVH834vrKaltPlY/EekCKhtaSIp2Q/0uDReTHst0xQMQF9pNYygCDMUKJyv9yYnI0avbRbRZRmUokYg+54IjAkb/HobcDklTufvCETxbfRmf1GZx44RYUqIP+BatYgUUvAQZN4E3HaIzrVU6nNHhux8REek60s4DYHBqLLn+XqwIzKBPvLfdpj63g79dNZYH9s6hMhjHruY0Ekdce0g7Y+ANAJwSeouXlm9nnHcbZt+rrP8H1e2ArX+Ezb9jUK8ktjf3h8qVpNiKaHAffgVE5+AbKWuN4YnSSwhhZ1Llr3n0skSaWoJ857m11DW3du5nIV1GZWMLCT4X1OeCTyugSs9keJIASLYX02RGhLka6QzNISQiR61u1+tEAetjv8eMz745HXTzvv0pUS6+OutiHlo8gWdnTtp/oBmClbeBtw+MfxCckSe2cBER6fq86RCTxQjbSkbkPMk1k/oetnlW7xi+c85YvvrBb3DbTZ6/OuHQRn0uw1xxK6O8O0kqW4grIQAZ11qrBJomLPs6bPglUQmT2BnIZFbLBzjcAWqTLz3stYdmDOedxq0kBoI0B/5FxI5f0n/PfN6cejOzPrqEi/++hLk3TOww0JKTQyAYorqxlYQIoHy3eghJj+X0pUEFOI0gzejvtZOZAiEROWoNefOp8Pciaczth+4MBeCD6XwlZgRf+f7j1rbtD0Px+9DncqheD1OeVRgkIiIdSzsP5/YHmf/NkfRK7HgOn8/cOHUAawom4bTbiPI4D23gTsBImAQVK7g0cQVBHNiTT7f2GQZMfNyaKyhhIjnumdQHl5BrDmfiqG8e9rqGYXDeyF7WB/Pn0G867Pwng/Ke4O1LJjHnf2nc8sxqXv3WqUS4TtBqinLMVTdZPb36uMsAU4GQ9FiusXfTkDsXn70ZP5o/6GSmQEhEjk6gkfiGpbzcdD5XprWzsoDNAYmTYdtfYNAt1gP2uh9DsBmK3oSoIdDvyhNft4iInDzSL4aGfIbEhaC9gOdzbDaDR64Zf/hGg27GqPiUcyI/hKTTD54M1eGFcX8GoCnxXCZ8MpTfXzaSiTGH7510EMOA5GkQPwH2vMWQnd9gzVAP/yqbxX1v2Lh3ztQjP5d0CS2BEPX+AFUNLQD0su+xdkRqyJj0TE5fL4pD8fjse2gxFAidzDSHkIgcldCuf+PCT3XcOdhsHUy0mfVL8CTD8m/A8pus7vhZd1v7Rv3KWkVGRESkI0lT4bT/gu9LBDJfpP81MP4hjMG3YYy6p8NmMzOTGdMnlgtHpx3ddRwRkPl/ANhTp3NT4jxmVH6PvPKGozufhM3db2ziK3/9iMq2QGhw/UvgiITYUWGuTCR86sw4AAI2DRk7mSkQEpEOmaZJQUUjpmketH39jm00r7yDZfUjSR3ylY5P4IqBUx6G2m3WULFhP4JR98DsSuj31eNbvIiISHvsbhj6XZjwMKTM6LDZqYMSef3bU4l0d6JD/dDbweaCmBE0ZdzOFN8Gnli09ejPJydccU0z8QUPMDflJvIrGsn05JJY+QYM/Z71nCPSQzXZrXnaAjZN/3AyUyAkIh36z/ICpt2/kCffXwZ734eCl8nZvQv/oq/ioJklcb/hvJFf8M1p39lwRQNcWmz1CgJwxR7/4kVERMLNGQ2pZ8PuV/GmnYHb1sqObYso/WwpetOEmi0QaAxvnUfLDGFWbbSGg3dT/1qayxTvOoZ4CthauIdvJb1MyBENmT8Md2kiYdXiSAQgqEDopKZASKQbMU2TRxfnsL24rtPnqmtu5S/vZ3NmzDpuLJsKC8+BT+bQ/6PBjPNupnHMP/jRnIuObHJMmx0iUsDQXzkiItLD9LkMGvL29SYZE7GFdzYXQ/ECeG8KvDUCXusNO/8Z3jqPQvba/2K8PYodWxeEu5TjIhQyeX55PlnePABKinPI8u7ETD0L3PHhLU4kzEJua+n5kEOB0MlMv52JdCNrCqq57+1tPL00t9PneueD//DX5B/xz35302jEETQNNjVmsLDpDPJGvUrsiJuOQcUiIiLdXO+LrJ5CzaUQOYhpcdm8u7mYdRs/org0n6L+v4LI/rDp3vaPX3cXLJgJZuiElv1FAsEQP/vImkx2xYr5hwwv74qqG1tYU1BFvT9wRO0Lq5qICJQQa68BwF+dQx9nKfaogcezTJGTgs2TbL1RIHRSUyAkEiahkNWbp7Tu2HWzfvbTfABW51d16jzVDc1MrbiT4ZHFGMN+QOTsXKpHPUq/xEjOuPp5Bo286FiUKyIi0v15EuGyMuh/FSSfxtiIrXy6q4Kblp7CaZsfZfr88eT7LoDGQmithfU/h7znrGODLbRufxRKFtK8Y+5hLxMKmScslDFNk0cW5bCy2M5esx/JLWtYtL3shFy7M349fyuXPbKUcb9+n4XbS7+wfXZJHcMj9n/JluXehsvWqtXFRACnL9V644gKbyHSKQqERMJk7W6rN8/zy3cfk/NVNrSweNNOftn7XyQ2fEJNU+tRn+u9hS+S5iylccTvYez94IohYeQtRF20Goc3+ZjUKyIi0mPYXdZr4lR8ZiV9HEVUNdt4/punE+dz8VZ+29x6Vetg6x9h1XegtY6WondxBmuoDkRS8+kdfLQ1r93TN7cGueSRJZz558XMW7/nuN/OT1/byAPvZ3P+yFSSB8xggm8bTy3Zddyv21lb9tYyq081rwy6izfmP0pJ7eG/lNteUscwjxUIBU0bkyI3WTt8CoREIqJ6AWC4FAidzBQIiYTJp7sqAFiVX3lMzvfSqt3UBRxclbSIaxPeYm3BUfQSCjSQs/1jnLv/Q5Ppo3fWlQfvt3VipRUREZGeLuEUAM5OLeS6U/szoX88F41O47VdbatV5T0PoVZoqYRtD1C47mlqAj4+Tf0rKY5yXnvjbzz84Y5DTnv3G5vZUFiDYcB3n1+zr8fw8VBW5+f5Fbu5amIf/nbVOOzJU4m111JSuJHGliMbihUOoZBJflkNv0y4j5GuDTzY627efOVugqGOe1XtKKljfHQ+uBMJ4mScd5u1Qz2EREhKyQAgMjolzJVIZygQEgmTzwKhNflVBIKdmxcgFDL5z/ICxvVPwZkylbOiV7At99AHxs80tQS5Z95mnv00n5rG/T2J8hfczsDV07g05j1ae18CDm+n6hIREZEDRA8Hm5OfTm7mlxcMB+DSsb3Z1ZRM0HATyHsegL2tCbDxHvrXvcbK4HRmnXUtZkQfbuq7ig8/eYOd8+bsm1Pogy0l/HfVbr59RgbvzS5j2cjb+cP8VazIPTZfOH1eTVMLAFMGJmK3GZB0KgCjPFtYurPiuFzzWCiqbuKq2NfpHdoEk+dS4R7D1NCLPLo4p8NjtpfUW0PGDAcY4LG1EMIAX78TWLlI15TcezT1U95k6Lhrwl2KdIICIZEwaAmEWJ1XwY/7vIY3VMa2Tq4K9tGOMgoqG7l1bCuOvfNwGEGiil/osP3TS/N4emkeP399E197cjmhkMny7N3El77ItkAW/tQLiR5zV6dqEhERkc+xuyAmC6N6HUbBi/DBDEb0imRAcgx5Lb1xBGooC8TxWrP1C9ayxnEkTvwFhs2O0Xc2I2yfclH/KgbVv0z5pqdoKXyP6E8vYEvWHH5cORz7xnvoZeRzTeKHvLz62AxJ/7zPhqRHe9p6DUdnYjpjmRS1jQ+PYF6ecNlZVs+5Mcuo942FjGuJH3IZQyPy+eeC1WwqqjmkfSAYoqCsijhbFbTW0GS3hszXG8lg95zo8kW6pMgBF2A43OEuQzpBgZBIGGworGaocyvfjnuS6xLmszKvc9/iPbMsn8RIN9MdbwHQipsp5msszzl0gsfa5lYeXZzDGUOT+Oe5DfiqP+apJbm88eZfibI3MiimGffUf0FsVqdqEhERkXbEjYWqNbD9IShdhFG3nXsuHMH2pnQAar1jmH3Fr2ixRTNxeBZjRky2jus7ByPUwiXjBrChcTARm+7C9tFFpNkKqE69Eob/xBpqBnw3aS67io5PIFTbZA0Li4lwWhsMG0bcGMbFFLFoW2mXXW1sV0k1WRE5OFJOA8BInoYNkzPid/CTVzce0ls7v7KRhoCdxf1ehWATTRGDAah39jnhtYuIHC8KhETCYMG2Us6JXgbARfGfHDYQMk2TbcW1hDoY4769uI7ptffy7LCHsOf9G2wunPjJcBfx/BuPU1TddFD7uZ/kUtPUys+mwpkl1/PvjLt5acHbzIn9HyY2HN40cMUfu5sVERGR/eLHgb8Cyq3nAMqXcdrgRCaOtoKK3hnTSI6LwdX3Ipx737TmFAJInATevsTu/gcL3D/AZ1aQ15zE31zPkXbWUzDmd3DBNuh1Hl6jgdvc99LUEjz0+p1cvv6zHkL7AiGAmGGk2/LZU9NEdePRL2pxPDS3BtlWXEt96XoibH48qVOsHQkTwebk9qw9bCyq4dW1RQcdt72t9/YIlzWRdDDWmv/J79ZwMRHpPhQISY/1zqa9XPHYssNOJng8lNY28/SSPKYlWQ8efZ172Ja3s8N5hF5dU8S5D37M9/67jubWQx/s/rEwm8vjPiTTPx+ai2Hk3QAEHbFcFfUSl/x9CYuzywi2LUcbvfNXrM66gcHZN2A4fIScsTza73dkRRZiEIJTHgLDOH4/ABERkZ4sbuz+93bPvmAosfc4ADy9rDl56HO51eOnZJH12bDB+L9A1Rpm99nBtbvu5fvlf+Gnl07bfz5XDEx/kxZ7PAHTzuY9nxsK1VRM8I0MQosuAv/R9U5uNxCKHobbrCXJUUVjO88q4WKaJt95fi3nPvgxdYVLrY15z4NpgiMCEiaSYa7F47Sxs7T+oGNX5VXhdtjo1bIGPMkk9rX+XOKTh57o2xAROW4UCEmPFAiG+P3b21iRW0leRcMJvfYD72djhloZ5tgM7iQAJjo+YU1B9SFtW4MhHlyQTWKkizfX7+GCv33C4mxrGNgnO8q5/l8rWLN1HT57Ewy8CUb8FIb9GDwp2CP7M8m3njHebK57agXT71/IvPV7uNA7jwRbGTTvhSn/xjPtBfpHB3EGa2HQrRA35oT+PERERHqU2FGAYb2mnAllbUFF+kVw6vOQepb1udcs8KRAQ97+Y/tcBhk3kL73Ic6bNIE/fu2cg4MZAJudYNpFTI7cyMbd5fu3hwI0fDib1vq9hIrexlwwwwpGvqTaz+YQOqiHkDVB9iD3bpq60EpjTy3J4/0tJcREOBlo30IQO/jL9n/xlXQ6RuUqUryBgxbZAFiaU86E/vHYK5ZA0mm444YAEJMy4kTfhojIcaNASHqktzbuJb+iEYDsTk7o/GXMXZrHCyt386OJzdiCdTDoFgDmxC/gg60lh7Tf9P7PuNnzAH+cPYqnrj+FYMjkpqdXUlbn5+8Ld7K2oJobs9q+0cq4EUb/FmxO6wGzqRA8qTw29HH+dmUWNU2tPPL6a8Q76gjGT4LZlZB2HqTOxLi8GGZXw4RHTtjPQkREpEdyRsLQ70LWzyFxCtRuhZYq6//f/a+0egKB1YPlkkIYdPPBx4+9H8Pu4yr3EwxPi273EhH9Lyba3khD4aJ92+o2/Q1fzRL+W30+j5VdilG9AZoPffb4IjVNrXhddpx2GwQaYeufwNcfgMGeAhr8XaeH0GOLczh9cCKvfGsK43w7sBHatyoaACkzwQxwWvSWfT2fAMrr/WwrrmNmf6B+l/XnFDMMZr4Pfeec8PsQETleFAhJj1PT2MqDH+wgI9GHYdDpFb6O1Mq8Su6et5kLhkdyY+Lr1sZB3wS7j8HevYcEQoFgCMfeeYyP2c2MtDpm9rfzwJxRBEImS3PKWbe7mkvH9ub64W2B0IGTQGf+AKY+D6c8jK16PRe6XuDPc0bz/WRrOVv7kG8fWqArZv9DqIiIiBw/4x+0goXEtvlsype3387mOHSbOwGG/QgKX4PyFe0fl3oWraaTxNoP9k3y/Lddp7K0fhTXxb/O6Yl7AWgqW/elS69rbOTpfj+DkoWQOxfW/hiKPyBgj2KQu5DG9uYtCoOKej+ldX6mD0liULyNIREFGJiQeEAglHw62L2c5lt5UCD06a4KAKYn7LI2JLRN7J16lhXciYh0E/rtT3qU5tYgN81dSVFVE7+9dCT9E3xkl5yYQOj9LSVE2E3+Gv9tbPnPwdDvgy8dRvyEaKOa6Po1bNlTu6/9W+t3M9i5kwxvBcb8wfBqEqOLvo/XZWPu0jyujnmZmxz3QvVG65s55wHfEiacYj209L0c0i+Gzb/jnH5+ZsWtwsSAPhefkHsWERGRw0iYaA0L85d/cdsDZf7AOq7so/b3OyOp8E1miutjlmbvpaLeD7ue4tTIDTD8TlrHWz2C83M+/dIlG83FTIxYAxvvhfwXrI35z+P3ZjLIs5vGLjJkbHvb893Q1CgAjD6XWTs+C+HAmsMpeRpnOuczPvTmvs0fZZcR5XYwwNgEht2aCFxEpBtSICQ9yv827mVVfhX3zxnFlIEJDEmJ3PfAcLwty6ngGxkbsNVuhinPWBNDAgz9HiFXEnemPctv/7cF07Qmf37rk4V4bC14QpUw+vcw6JvY8p7hzowFrCmo5pzo5aSQCzUbIXZkxxce9RtorYPtD2Lz9cWIyTo4PBIREZHwcEbCpXthwNe+5HFRcGG21VOoAwnjfkg/dzHly+7ioQU7ODd6Mc1Ro2HMfYweMoKyQDy1xWu/dMmhtqXtKV0MpR+BJxVKPyIUkc5gd0GX6SH02SphQ1OjwOGzNvr6gTft4IZpX8Fl+BlsW0dLIMQ35q7kxVWFnDksGVvlSmuuJ4f3BFcvInJiKBCSHmVxdhmJkS4uHGU9DAxNjSavvKHd1buOpZqmVjbvqeGr0a9bvXn6XbV/pzMSW9ZPmOJby2n1f+btjUV8uK2UNL81yaSRcSOMuAsm/B3SLuBrrr+S5KhitDcbV8xgqM0+fCAUmwV9r4DtD0L9Thjw9eN6ryIiIvIlHO3Knl/w5Y6z7yVs8V7Jhc5nadn+GOO82/EMtJ4/HHYblY4hRDZt+fKrrbZ8bhGMyU8BJg6zkSRnNS3Nhy6SEQ7bi+sYFVNOUunz1jxHJYsOHi72md7nA9Dfvov1hdV8sLWUW6dlcN9lWVCxAhImndjCRUROoHYGJot0T6GQycc7ypk2OBGbzXr4GpoSRciEnaX1ZPWOOW7XXplbSaZ7F+mtKyHrT2CzH9xgyO2EqrfyLZ7gqY+dvBr6Fr9OaJtPYNA3rVfDBlm/wL5nPrcmvYzH1gL51pxAxBwmEAIYez/4+kKvcyHljGN6byIiItI19Tv7UUrnrea+9IetDQdMiOxMGE2/sn+xOq+ciRlJR3xOe2tb4JMyA2xua4GKhIk4glaPnGBz1TGrvzNKSnJ5vu/tGMs/W07egN4XHtowMgMTg1hbNeuqmwC4ZGxvPE050FpjDesTEemm1ENIeozNe2qpbGhh2pD9Dz1DUyOB4zOx9OLsMl5YUQDAsl0V3JA0H9PuhYE3HtrY5sQ2+XEa4mcw3fsJm4pqGRGRA3YvxB0wWXTCKZjuZK5NfMv6nHQ6ZN0N6e084BzI1wfG/hFSZ2riaBERkR7C54sh9cL3wJ1o9XSJzNi3L7XfBDy2FrZmr/5S53QE2gKhyf+CGW9b789cBEO/A0DQX9v+gSdQKGRype1+3EYLnPMpzKmFK/3Q/6p22wdxEmlvJKfUCo+SvcCme62dB845JCLSzaiHkPQYH+0oA+D0wUnWyhgRaQxIHEKc18knO8qYPT79mF3rp69t5LnlBYDJaYG5rNvanzvTFmMMuB5ccR0e5+t7HgMr7+DqgXtxmQ0QO/ngBoYNo/f5uHY9bX0e8TNIm3XM6hYREZFuJrI/nL/pkKFp3uSxANTsXQOce8hh724u5o11RQxNieZ7Zw0GIBgycZs1VoMDn2ccEThcVk/r0OeHlIVBae4iZkUvYX38HYxO/OIhXyGbhwibn51l9ThsBvHrb4TCV6x5GGMyT0DFIiLhoUBIeoxVeZUMTYkiyWeHty+GqEHYz13NWcNSeGdTMS2BEC5H53vPVNT7eW55AX8cvZQB9W+SmruZF9PAboRg8LcOf3DqmQD8bsibUET7vYnSLoBdT4PhsLpri4iIiBxORMqh22KGE8KGo24TgWAIh73tGai5jLxt7/Pd/0YQsrlZsLWUW6ZlEOGyU9vUSoy9gRB2bI6og05n7AuETsxiHYdTlTOfZNPAnnnbEbUP2X24g/XsKKlnclwhRuErVg/srJ8d50pFRMJLY0ekx9hd1cSARB9UrYVAnfW6523OzUqlzh9gac7+JV9rmlpZuvPgJWDL6vxHdJ31hdVMjVzHHPM+Jvg2sqUpA7sRwvT1h7jRhz84drT1jVvRPIgcBBntBEKpMwED4seD3XVENYmIiIgcxO6hwT2QQc5ctuxtG+ZlmrDkq/Tfcg3Lh1/Ligm/5Jvxz/JJWy/rmqZWYuz1tNqjD50Mu22SayMQ/kDIVv4xO1oyGN637xG1Nx3R2I0QeyqruCnxZXBEQub3jnOVIiLhp0BIegTTNCmsaiQ9LsJaJhXAkwKbfs3UQYn4XHbe3VwCQCAY4pZ/r+Lqfy7n010VEArwyILNTPjtB7y9ce8XXmtdfiUP9HkAM3oYTX2uY5R3J42+URhf2fLFhdrskHyG9X7Yjw6dfBogFIBes2DYj4/w7kVEREQO5YgfRaYnl5V5bRNB586FkoX8u3o2W+0ziIlw8YPU54jY+H9gmtQ2W4FQ0B576Mk+W/UsEN45hPz+JvqGNlDmnbxvEZEvYrYNfxvk3MU014cw8ObDDvEXEekuFAhJj1DR0EJza8gKhEoWQ9RgGHYHVHyKp6WIMzKT2ZK9htDS6/jHe6tZnluJ12XnT+9uZ93r1zEj7wIcNnh98QeYDUWHvdbeoo2kOCuxDfshEVMegay78Z41DxwRR1ZsxvVWKJRxXfv7PUnWJI59L/9SPwMRERGRA0UkjaWvu4QNuXmQ8ySs/DZV3gncrUsA0wAAIABJREFUXXAtTeOewHbOEj7kKk4LPUeobOm+HkIhV3uBkDWEzB7mHkJbN39IhM1PdN+ZR3yMPcJacGR61BrsRhD6zj5e5YmIdCkKhKRHKKyylhFNj3VD2ceQPH3//DtlSzh3RCoBfzW2vH/j2nE/l45O4jdnR7GhoJSMhjcYFpHHwkkP81j8tZQvuqnD64RCJo6qVdaHhIng8MKoe8DX78iLTb8IzloIds9R3q2IiIjIEYgdBcDwqsdg+TcIxk/ixpw76B3nY9rgJDAMmgf/BICi7e/sC4SM9nrPtM0pZA+GNxAqy3kfgCEjzz/iY+zeXgBM9G2yNkRrImkR6Rk0qbT0CEVtgdBAVw601lg9cGJHWmPEyz7hjJGz+b+WIbxTP5Pr4t8gGFWAt3AV3lE3E202AJDeuICSQBL26g0dXmdXeQNDnNtoNbw4o4ediFsTEREROTpxViBU0RJBbuItPFp1K+vL9/LCLWP2TTJ9xuhh5GzqS/PuRdS4vsEwRz02d/yh57I58JsenKH6E3kHh/DVr2aPsx9pkalHfIzD1xuAsd7tNNvi8bR3fyIi3ZB6CEmPUFjVCECKNwQJkyFlOtgckDgZypYQ5XFy2uBEfrP7auyGia9+DYYjinPNR8EZA74BGMnT2eCeTaKxl1BLw6EXadjNxh1bGR2RTWvMmPbn/xERERHpKrx9MZ3R3NHr3wwof5y6nJe47YxBTBywPxDxuhxUR04kPbiWD7bsJdZehzMiod3TNePDZYYvEGpqCZJoFtDgGfzlDvT1sV7szTR5Bh6HykREuqZOBUKGYfzAMIzNhmFsMgzjecMwPIZhDDAMY7lhGDsNw/ivYRhaBknCrrCqiZgIJ97e02HWMvCmWzsSp0LNRmitZdaIFApbU9kZfTWM+i2c8lerTfolkHY+lC8lKsnq9bO7YO2hF/lkDqflXsgIby4RqZNP0J2JiIiIHCXDwIifQMhwsaclkbt6v8D3ZmYc3MY0yegzkBh7A0V5q4hzNODwtN+Dxm9E4g5jILS5qIp+rr04Y75kIBTRZ9/bYNSQY1yViEjXddSBkGEYvYHvAqeYppkF2IErgT8AfzFNcxBQBXQ84YrICbJvhbHPS5oKZgjKP+XiMb35+VeGkRlYADWboP/XYOz9MOJn1qpewUYGx1hDzwrz1hx8nmALZuUakmwluI0WjISJJ+CuRERERDppyr/JnbyKZ/y309eRh7PolYP3579A3K4/AHD/aeXYCHa4AlerLRIP7fSiPh7qd8GiC8BfsW/TjrxtuG2txKd+yWH77v09nhyxmj9IRHqOzg4ZcwARhmE4AC+wF5gJvNy2fy5wSSevIdJpRdVN7QdCiVPA4YOcp/A47XxjSgpGUyFEDQHDsJZ+jx5sBUJRg4nf8yRB00ZD2aaDz1O7BcNsZXVDJqbhgMRTT8yNiYiIiHSGN42hGSO485ZfWPMrfn6uxPSLrQDI5mG0e721rcNAKIoI4wQFQtsfhj1vQdFb+zaV790MQHTBE9YXfkfqgDmDfIkjjlmJIiJd3VEHQqZpFgF/AgqwgqAaYDVQbZpmoK1ZIdC7s0WKdIZpmhRWNTExeifsecfauPtVqNsJzkgY+gMo+C9UrrW2AUR/rruw3QVj/4xRl00j0Tgbth+8v9IaQvaM+XOMy4r3jUUXEREROSkYNpi1Asb87uDtDi8MvAnMVki/1NrWQSAUtEfiNRoJBNsPYzYUVrOxsIaWwJcIa9oTCmDmP2e9Lf5w//aqtsAqJtO6nyPl2h8IOWO1KIiI9BydGTIWB1wMDADSAB9w7pc4/hbDMFYZhrGqrKzsaMsQ+ULVja00tgQ5P/AQLL4QtvwRllwJ639qNRj2I+tBYMMvoS7b2tbe+PHeF0Dq2Rh2D72MfHaW7h8j31C8kqBp44fxjx30UCEiIiJy0rB72t8++FtWj5ucJ6zPHQZCUUTam2hsDR6yL7+igUsfWcqFD3/CjD8tIqesE3MNFb+P0VxCeSCG4h3v8PbGvZTWNjPB+ZG1f/hPvtz5HJGYGJgYEJnxxe1FRLqJzgwZOwvINU2zzDTNVuBVYCoQ2zaEDCAdKGrvYNM0HzdN8xTTNE9JSkrqRBkih1fT1ApAXGAXmAFYdydEDoKJj1sNXDGQcQMUvwdVbd2kowYdeiLDgGmvYxtwNRnuIv65eH8vIbPoLexGCGfGFVY7ERERke4iMgPSL4KyT6zPHQRCOKKItDXS6D80EPrHohzsNoM/Xj4KfyDIVx9bRn7F/uFlTS1B/vTudu54eT2maR62nNZtj1AVjOZ1/9dJc5bw7IJFvLd5D6O9OwjZvBA/9svdn2FgOKMwojOtXuEiIj1EZwKhAmCyYRhewzAM4ExgC7AQmN3W5jrgjc6VKNI59f4AUbYGPMFSyLge+n4VzngLXLH7GyVPh1AL5P3HWoHM4Wv/ZA4v3pQJuGwB9ma/Q1F1EzQU4mstYE9rCqljbjsh9yQiIiJyQmX+aP/7jgIhZzSR9kYa/a0HbS6qbuKVNYVcNaEPV0zowwu3TKG5NcQ986w5fwoqGjnvoY94eOFOXlxVyLJdFe2d3bLnHZzF83my7GKmT78GgDT/pyxY+h4RthaMmKOcFDqilzWHkohID9KZOYSWY00evQbY2Haux4E7gR8ahrETSACePAZ1ihy1Bn+ADHeh9SH9EjjtBYgccHCjpKltjXPbHy52oD6XEnQlc0Pi6zz84Q6Cuc9gGLDJfSmGrbPztIuIiIh0QUlTIWGy9f4wgZDTCNLUfPDE0vPX76E1aHLzNGs41qDkSL535mAWbi/j7jc2MfvRpVQ3tfL0DROI8zp5ekle++cPNNG07FvkNKdT2/97DB48iZA7mWlR6+kfslaANeLHH939ueKhpfLojhUROUl16rdX0zTvNk0z0zTNLNM0v26apt80zV2maU40TXOQaZpzTNP0H6tiRY5GY0uQgZ8FQtEdfGvkjt//rdAXBUJ2N/bM73BG1CpWb1jCxg0LaQq58A6++tgVLSIiItKVGAaM/wsM+Q44o9ttYnfHAOBvqj5o+7rd1fRL8JIe57U2BJq4MfY/jE61MXdZPvE+Fy/eOoUzhiZz1cS+fLC1hKeX5FJQ0XjQeRqq8yiuC/JIww+464LRYBjYen+FmTFrmB61ymoUP+7o7s8VD34FQiLSs6g7g3R79f4AGe4iazn4w00UmDTNev38CmPtGfRNTJuHb6bMI6FlAzvtpzF13GnHpmARERGRrihxMpzy1w7nS/wsEGppPjgQWr+7mtHpBwzVr96IfdPdvDRlPmt+cTbvfH8aQ1KiALjulBgeHvAQVct/zn3PPXfQeV7ZEcGZ2x7mqguvx+tqm7K090X4jDqmRa/H7DMH+l9zdPemHkIi0gM5vriJyMmtsSXAQE8hAW8GTpuz44bJ02DH3yFq6Bef1JOIMfAGLtnxBDYCpI25C0OTSYuIiEgP5nBboU/AX7NvW2ltM3tqmhnd54BAKHEiDPkOruy/ER+ZDoYDMr8PNicprlrOS9rKeZEfsLFxBduKryAzNRrTNJm7NI+R6fGc0v+AFV17nQ02N7aQH1JngDPq6IpPnKyFQUSkx1EPIen26v1Baw6hI5gbiImPWQ8WRyLzh9iwVtGwp87oZJUiIiIiJzeXx+ohFDwgEFpfaL0f0yfm4Majfwu+frD+p7DuDth4j7U9eijGpbtpzvguQzwFzFu7G4ClORXklDVw7ZT+B5/H4YPUs6z3SZ3orT3kNpgy9+iPFxE5CSkQkm6vsdlPf9ce7LHDDt/Q5oRBt1ivRyJqEPSdA54UrUohIiIiPZ4rwuoFFPLvHzK2fnc1dpvBiLTPBULOSJi1HC7YBgNvgs2/h92v7tsdkTQaj62FNVtW7+sdFO9z8ZUR8ZD3POx4dP+5hn4X+lwGMSOO6/2JiHQ3CoSk27P5i3DbAtiiBx37k096EmatBEP/KYmIiEjPFuGzVh9rbtrfQ2jd7moyU6PwOO0HN67Zas3bEz0Uxj8EcWPh48thTdvy9rFZAMT4t/P4R7v4YGsJ3xjvwvPOUFh6NeQ8BaZpte11Dpz+ip7HRES+JP2tKd2e0VxmvfGkHPuTOyPB1+fYn1dERETkJOOOsAKhotISAFqDIRIq53N57+yDG5YshreGw8JZ0FxmDfs6ZwlkXA/b/gx1OyF6GCYG05JL+P3b2wC4wf0A+Ctg+lsw61PN+SMi0kkKhKTbs7dWWG/cSeEtRERERKQ7c1rDwmprS6ltbmVTUQ23J87lfPcrEArAup9C2TLY+agVApUvhcUXWT197B4Y9RvAgNxnYMMvMZzRXNi/Eqfd4P+GbyOiZB6MvBt6n6/eQCIix4BWGZNuz9laAXYUCImIiIgcT3Y3AUccSfYKlu4sJ7esga87y7EnDoQNv4At98GuJ6GlGgbdavUICrXs7+nj7W1NEL39r9BaDb4BRDdv463vTGXgqh8DmZD5w3DeoYhIt6JoXbo9V7Cth5AnMbyFiIiIiHRzdl8f0j0VLM4uY0NuHpH2JiJsASsM6n0htNRYIdCgmyF+nLXc+4EGfN0Kg2JHQr8roC6bIQ2vYq/dAlm/PPLFP0RE5Auph5B0e+5gFQHTjsMZG+5SRERERLo1w5fOQF8Or6/dw2DXLhgIVK8HdyKc9iIUzYfKNR2v0NpnNpQtgcwfQM0WMIOw/EaIzoS+V5zQexER6e4UCEm35zMraSCWGE08KCIiInJ8edNJd69keFo00ZWl1rbKNTDwRmueoL6zrX864oiAiW1LykcNgRnvQvEHkH4J2OwdHyciIl+aAiHp9iKposGIJybchYiIiIh0dxHp2FrKeOGmMRSsXAL5QMgP/a788ucyDGtJ+V7nHPMyRUREgZD0AFFGDX57XLjLEBEREen+vOkAOFuKGeirAgyI6A1Jp4W3LhEROYQmlZZuzTRNYmzV+O3x4S5FREREpPtrC4RoLISarYBpTRStZeJFRLoc/c0s3Zo/ECLeXkOLQyuMiYiIiBx3BwZClaus90NuC189IiLSIQVC0q01NvuJddQTcikQEhERETnuPguE6nZB0x7w9t2/TUREuhQFQtKtNdWXAGC6EsJciYiIiEgP4IwCZzRUrQFCkDwt3BWJiEgHFAhJt+ZvC4RwJ4W3EBEREZGewpsOzcXW+8TJ4a1FREQ6pEBIurXWplIAbBHJYa5EREREpIeISIeKFdb7yIHhrUVERDqkQEi6tUBjGQAOrwIhERERkRMi4RRwRMGoX0Ovc8JdjYiIdMAR7gJEjiez2eoh5PIpEBIRERE5IUb/Fkb9Bgwj3JWIiMhhqIeQdGuG3+oh5FEgJCIiInLiKAwSEenyFAhJt+bwF1MeiMEXERHuUkRERERERES6DAVC0q25WospbY3H57aHuxQRERERERGRLkOBkHRrrpZiyoOJuB0KhEREREREREQ+o0BIurWIQAlBT1q4yxARERERERHpUrTKmHRbtY2NxNqqiPD1CXcpIiIiIiIiIl2KeghJt7UlZzs2wyQhOSPcpYiIiIiIiIh0KQqEpNvKLcgGID1tUJgrEREREREREelaFAhJt1VcsguAiBgNGRMRERERERE5kAIh6bZaandbbyJ6h7cQERERERERkS5GgZB0S82tQaIpI4gT3InhLkdERERERESkS1EgJN1Seb2fFGcFzY4UMIxwlyMiIiIiIiLSpSgQkm6ptM5PP9deAu6UcJciIiIiIiIi0uUoEJJuqazOz2hvNhHBsnCXIiIiIiIiItLlKBCSbqmyphqHEQJParhLEREREREREelyFAhJt9RavRMAh1eBkIiIiIiIiMjnKRCSbsnWkG29+rTkvIiIiIiIiMjnKRCSbsnXvMN64+0X3kJEREREREREuiAFQtItRQfyrTcRvcJbiIiIiIiIiEgXpEBIuqXYUJH1xhkd3kJEREREREREuiAFQtLtmKZJoq3U+uCMCm8xIiIiIiIiIl2QAiHpdmqbWkl2VFof1ENIRERERERE5BAKhKTbqagsIsLeYn1wqIeQiIiIiIiIyOcpEJJup6Fi5/4PGjImIiIiIiIicggFQtLt1Fdk7/+gIWMiIiIiIiIih1AgJN1OVXnu/g8OX/gKEREREREREemiFAhJt9NaV0DAdIAjEgz9Ky4iIiIiIiLyefptWbqV5tYg7pY9BIwIDRcTERERERER6YACIelWtu6tJcVRjuHwaEJpERERERERkQ4oEJJuZUNhDb1cZTgcTi05LyIiIiIiItIBBULSrWzcXUayowqbza4eQiIiIiIiIiIdUCAk3UpxcR42w8QwTc0hJCIiIiIiItIBBULSbTS3BvHX5lsfzICGjImIiIiIiIh0QIGQdBvZJXWkOMqsDyG/hoyJiIiIiIiIdECBkHQbW/bUkuostz4EGjRkTERERERERKQDCoSk29iyt5Z+nkpMuw9CLRoyJiIiIiIiItIBBULSbWzZU8vgqGqMiDRrg4aMiYiIiIiIiLRLgZB0C6GQyda9tfRzF8NngZB6CImIiIiIiIi0S4GQdAsFlY00tbSQZOZCZH9ro+YQEhEREREREWmXAiHpFrbsrSXdVYrD9O/vIaQhYyIiIiIiIiLtUiAk3cKWPbVkRuy2PniSrVcNGRMRERERERFplwIh6Ra27K1lUkKJ9cEVZ71qyJiIiIiIiIhIuxQISbewZU8to6KKIKI39LsSLimC6CHhLktERERERESkS3KEuwCRzqqo91Nc20x/Rz7EDAe7G7xp4S5LREREREREpMtSDyE56W3dW4dBiPhgjhUIiYiIiIiIiMhhKRCSk96WvTX0cZVgDzUqEBIRERERERE5AgqE5KS3o6SeWYlbrA9Jp4e3GBEREREREZGTQKcCIcMwYg3DeNkwjG2GYWw1DGOKYRjxhmG8bxjGjrbXuGNVrEh78ioamBmzDrzpEJ0Z7nJEREREREREurzO9hB6CHjHNM1MYDSwFbgLWGCa5mBgQdtnkeOmoKKO0c7VkHo2GEa4yxERERERERHp8o46EDIMIwaYBjwJYJpmi2ma1cDFwNy2ZnOBSzpbpEhH6v0BUgOb8VILqeeEuxwRERERERGRk0JneggNAMqAfxmGsdYwjH8ahuEDUkzT3NvWphhI6WyRIh3JK2/gtKh1mBiQela4yxERERERERE5KXQmEHIA44B/mKY5Fmjgc8PDTNM0AbO9gw3DuMUwjFWGYawqKyvrRBnSk+VXNDLeuxW/NxM8ieEuR0REREREROSk0JlAqBAoNE1zedvnl7ECohLDMHoBtL2WtnewaZqPm6Z5immapyQlJXWiDOnJ8srrGe3Nxp48KdyliIiIiIiIiJw0jjoQMk2zGNhtGMbQtk1nAluAecB1bduuA97oVIUih1Fbnk2CoxZn0uRwlyIiIiIiIiJy0nB08vjvAP8xDMMF7AJuwAqZXjQM4yYgH7iik9eQ/2/vzqM0zQoywT839oiM3PetKrOojQKhSkosAWkFRVxa0NE+OM5IKw7OGR2xlbHF0zPt6KFHT4/rSHukRcVuFW1cWI7iUkADKgVVVLEWtVdW5b5HZmRk7Hf++D6opDKyysxY3i8yfr9z8sS7fPG9T1TeE5Hx1H3vy0VqrTl8ZjwDZ+5JhpJsfHHTkQAAAGDZmFchVGu9L8ntc5x65XzeF57NnfcfzQ//wd35P7d/KpNDA+lb9/ymIwEAAMCyMZ81hKAxDx49myR55ZZ9mVzzwqSrt+FEAAAAsHwohFiWDo+MZ+PgbPZ0fTHD21/SdBwAAABYVhRCLEuHRsbzjRsfS2bGk63f2HQcAAAAWFYUQixLR86M52VrPpOUrmTLy5uOAwAAAMuKQohl6dDIeF7Ye0/Sszp58s+bjgMAAADLynwfOw9LbnJ6NufOjeTa+plkajYppelIAAAAsKyYIcSyc/TseL573Z3pymyy9RXJ3tc3HQkAAACWFYUQy87hkfFc3/9ka+drftsMIQAAALhMCiGWnUMj4zlfB1JLb7L6uqbjAAAAwLKjEGLZOTwynq29J1IHd7SeMgYAAABcFr9Ns+wcPjOeHX0nU4Z2NB0FAAAAliWFEMvO4ZHx7Ow/mTK4s+koAAAAsCwphFh2Do6MZXP38WRIIQQAAABXQiHEsnPy1PEMlPOJGUIAAABwRRRCLCtnx6fSO3motWOGEAAAAFwRhRDLyr4TY9nWe6K1Y4YQAAAAXBGFEMvKVxRCZggBAADAFVEIsazsO3kuW80QAgAAgHlRCLGs7Ds+lmsHTyd965OewabjAAAAwLKkEGJZ2XfyXPYMnTY7CAAAAOZBIcSysu/EWLb3Hk+GdjUdBQAAAJYthRDLxvjUTA6NjGdzOZgM7206DgAAACxbCiGWjf2nxrKmazQDdSQZvq7pOAAAALBsKYRYNvafOp/dfUdaO6vMEAIAAIArpRBi2Th4ejy7+w63dswQAgAAgCumEGLZOHj6fK7tb88QsoYQAAAAXDGFEMvGwdPnc9Pw8aRvfdK3ruk4AAAAsGwphFg2Dpw+n72DR90uBgAAAPOkEGLZODhyPjt7DllQGgAAAOZJIcSyMDNbc2RkLBty0AwhAAAAmCeFEMvC8dGJbOg6kZ5MWVAaAAAA5kkhxLJw4PT5XNt3qLUz/JxmwwAAAMAypxBiWTh4+nz29h9o7ay5sdkwAAAAsMwphFgWDpw6n739B1O7+pOh3U3HAQAAgGVNIcSy8PiJsdwweChl9Q1JMWwBAABgPvxmTcerteajDx3LzasOJ6tvaDoOAAAALHsKITrew0dHc/DUaLaW/dYPAgAAgAWgEKLjfeiBo9nZdyzdmUpWK4QAAABgvhRCdLwPfvFoXr7tVGtHIQQAAADzphCio83O1tyz79QFhZA1hAAAAGC+epoOAM/k7MR0vmftX+f68mjSuyYZ2NJ0JAAAAFj2FEJ0tDPnzuWtO9+WsandrQWlS2k6EgAAACx7bhmjo42NPJGuUtNXzyRrbm46DgAAAFwVFEJ0tImRfUmSvpnTyZqbGk4DAAAAVweFEB1tZvSJp3YUQgAAALAgFEJ0trH9T22vVggBAADAQlAI0dF6xvdnfLY3NcUj5wEAAGCBKIToaP1TBzJZe5NV1yQ9g03HAQAAgKuCQoiOtmr6ULpKUtwuBgAAAAtGIURHWzN7KANlwoLSAAAAsIB6mg4AlzR9PqvLSGt7eG+zWQAAAOAqYoYQnevCJ4wN7WouBwAAAFxlFEJ0rrEnn9oe3NlcDgAAALjKKIToXBcWQmYIAQAAwIJRCNGxZkcfS61JTUkGtzcdBwAAAK4aFpWmY02PPJrp2f6kd02GunqbjgMAAABXDTOE6Fizo49msvZkvM/sIAAAAFhICiE6VtfY4yklme7b0XQUAAAAuKoohOhMM5PpnTiY/jKVOuQJYwAAALCQFEJ0prEnU1Iz0DWZrlW7m04DAAAAVxWFEJ3p3GNf3hxce02DQQAAAODqoxCiI82effTL28Pr9zQXBAAAAK5CCiE60hNPfD7TtbR2Bnc1GwYAAACuMj1NB4C5HD30xQzNrs+m6/9luiwqDQAAAAvKDCE6Tq01g5P7MtJ7Q7pe8vtJz1DTkQAAAOCqohCi4xw7fSY39j2SidUvaDoKAAAAXJUUQnScA499LP1d0+nd9vVNRwEAAICrkkKIjjNx8KNJkm3XfUOjOQAAAOBqpRCi46w6c1eenNqZtRt2Nx0FAAAArkrzLoRKKd2llHtLKe9v7+8tpdxVSnm4lPInpZS++cdkxag1u2fvy76uW5tOAgAAAFethZgh9KYk91+w/0tJfrXWen2SU0nesADXYIWYPP1g1nWdzujqFzcdBQAAAK5a8yqESim7knx7kt9p75ckr0jy7vZL3pnktfO5BivL8cfuTJL0bXtZw0kAAADg6jXfGUK/luSnk8y29zcmOV1rnW7v70+yc57XYAWZOfLRnJpena27b2s6CgAAAFy1rrgQKqV8R5KjtdZ7rvDz31hKubuUcvexY8euNAZXmeEzd+Xusedmz6bVTUcBAACAq9Z8Zgi9NMl3llIeT/KutG4V+/Uk60opPe3X7EpyYK5PrrW+vdZ6e6319s2bN88jBleN80eyfuax3D/9gqzq73n21wMAAABX5IoLoVrrW2qtu2qte5K8LskHa63fn+RDSb6n/bLXJ3nPvFOyMhz/hyTJkf6vaTgIAAAAXN0W4iljT/dvk/xkKeXhtNYUesciXIOr0bF/yMRsb2bXWT8IAAAAFtOC3JdTa/1wkg+3tx9N4pnhXLbp01/MwxO7s3vX+qajAAAAwFVtMWYIwRWZPvNY9k9uyd6Nq5qOAgAAAFc1hRCdodb0jO/L/smtuVYhBAAAAItKIURnmDiRntmx7J/ckj2bhppOAwAAAFc1hRCd4dxjSZLRnl0Z6vPIeQAAAFhMCiE6w5kHkyRrN9/QcBAAAAC4+imEaN7sVOrHX58k2XPNLQ2HAQAAgKufQojmnX0opc5kbLY/tz5nT9NpAAAA4KqnEKJ5pz+XJDk8tSXP3b6m4TAAAABw9VMI0byRz6XW5HTPnnR3labTAAAAwFVPIUTjzhy6JzUlPWuubzoKAAAArAgKIRo3ceyedJWa62/82qajAAAAwIqgEKJR9zyyPxvLkSTJ0O5vbjgNAAAArAwKIRr18fv+IV0lqf2bk1V7m44DAAAAK4JCiMbUWjNy8JNJkrLl5UmxoDQAAAAsBYUQjXnk2Lm8vO/vWjs7X9NsGAAAAFhBFEI05mP3P56vXfX51s62VzYbBgAAAFYQhRCNOfvYe9LbNZO88D8kQzuajgMAAAArhkKIRkxMz+SG8Q9ktGxMnvvTTccBAACAFUUhRCM+/eRIXjT4uYyse2XS1d10HAAAAFhRFEI04r6HH87m3tPZsOO2pqMAAADAiqMQohEH992bJBnc9IKGkwAAAMCerBiDAAAa2klEQVTKoxBiyY1PzWT69BdaO2tvaTYMAAAArEAKIZbcZ/aPZG/vvsx0DSarrmk6DgAAAKw4CiGW3Gf2n84NA09kdvXNSTEEAQAAYKn5bZwl99kDI7lpcH961z+v6SgAAACwIimEWHKPHDiYrT3HrB8EAAAADVEIsaTOjk+le/SB1s6a5zYbBgAAAFYohRBL6nMHzuSmgX2tnXXPbzYMAAAArFAKIZbU5w6M5OaBx1O7h5Lh65qOAwAAACuSQogl9YVDZ/KC4SdT1j7PE8YAAACgIX4jZ0kdHhnPDf2PJeu+qukoAAAAsGIphFhSU2OHsrbrtEIIAAAAGqQQYkltmGw/YUwhBAAAAI1RCLFkJqZnsrvrkdaOQggAAAAaoxBiyZwYncyNA/sy3r0pGdjSdBwAAABYsRRCLJljZyeyrfdEJvt3Nh0FAAAAVjSFEEvm2NmJbOgeSfo3Nx0FAAAAVjSFEEvm2OhENvScSc/Q1qajAAAAwIrW03QAVo5jZ8azsWckPcMKIQAAAGiSQoglM3L2dAa6JpNBhRAAAAA0yS1jLJnx0cOtDWsIAQAAQKMUQiyZmfNHWxsDCiEAAABokkKIJVPHj7U2zBACAACARimEWDLdU8dbG2YIAQAAQKMUQiyJ0YnpbCrWEAIAAIBOoBBiSRw6cTw/ue2PMpvupGe46TgAAACwoimEWBInjzyUJJntWZOU0nAaAAAAWNkUQiyJc6cebm30b2o2CAAAAKAQYmlMjzyaJOke2tFwEgAAAEAhxJLoPr8vtSZlaFfTUQAAAGDFUwixJIYmn0xN8ch5AAAA6AAKIZbE+vpkukpVCAEAAEAHUAix6CamZ7K9+1BrZ9V1zYYBAAAAFEIsvsPHj2Ztz1hrZ+1zmw0DAAAAKIRYfCePPpgkrTWEVt/YcBoAAABAIcSiO3fi4STJzMCOpGew4TQAAACAQohFN3Xm0SRJ17rnN5wEAAAASBRCLIH+cw+k1qRr/a1NRwEAAACiEGIJbJ6+P6UkWfe8pqMAAAAAUQixBLaVfa2Ntbc0GwQAAABIohBikc2Mn8zq7nOtnTU3NxsGAAAASKIQYpGdPPSZJMm9G/5t0rOq4TQAAABAohBikY0e/WySZGLHdzecBAAAAPgShRCLavrU5zMx25tNW29sOgoAAADQphBiUfWcezCPTuzMjvXDTUcBAAAA2hRCLKrVk49k/8w1GerraToKAAAA0KYQYlENzp7KeM/mpmMAAAAAF1AIsXhmZzKY0XT1b2g6CQAAAHCBKy6ESim7SykfKqV8oZTy+VLKm9rHN5RS/q6U8lD74/qFi8uyMjWSrlJTFEIAAADQUeYzQ2g6yU/VWm9JckeSHy2l3JLkZ5LcWWu9Icmd7X1WoOnxE0miEAIAAIAOc8WFUK31UK31U+3ts0nuT7IzyWuSvLP9sncmee18Q7I8jZ49liTpHVAIAQAAQCdZkDWESil7ktyW5K4kW2uth9qnDifZuhDXYPk51y6E+ldtajgJAAAAcKF5F0KllOEkf5bkJ2qtZy48V2utSeolPu+NpZS7Syl3Hzt2bL4x6EDj544nSQYUQgAAANBR5lUIlVJ60yqD/rDW+uftw0dKKdvb57cnOTrX59Za315rvb3WevvmzR5LfjWaaBdCw8P+fgEAAKCTzOcpYyXJO5LcX2v9lQtOvTfJ69vbr0/yniuPx3I2M34ySTK8RiEEAAAAnaRnHp/70iT/c5LPllLuax/72SS/mORPSylvSLIvyb+aX0SWq5mJkzk/25/1a9Y0HQUAAAC4wBUXQrXWjyUplzj9yit9X64ik6dyZmY4W/q6m04CAAAAXGBBnjIGc+mZOpWzdXVadxcCAAAAnUIhxKLpmRnJ+bhdDAAAADqNQohFM1BHMtGlEAIAAIBOoxBi0QzlTCa71zcdAwAAAHgahRCLZlU5m9medU3HAAAAAJ5GIcSiqDOTWdV1PulTCAEAAECnUQixKM6ePZYkKf0bG04CAAAAPJ1CiEVxZuRokqRncEPDSQAAAICnUwixKM6dbRVC/UNmCAEAAECnUQixKMZHW4XQwPCWhpMAAAAAT6cQYlFMn92XJFmzYW/DSQAAAICnUwixOMaeyMRsTzZsvKbpJAAAAMDTKIRYFH3jT+bw9JYM9PU2HQUAAAB4GoUQi2LV9IEcr9uajgEAAADMQSHEolhXD+ZM1/amYwAAAABz6Gk6AFehmYls6DqR8127mk4CAAAAzMEMIRbe2JNJkqmB3Q0HAQAAAOaiEGLBnT/9aJKkDF/bcBIAAABgLgohFtzoyUeSJH2r9zacBAAAAJiLQogFNznyWGZryfCGPU1HAQAAAOagEGLBzY7uy9Hp9dm0dnXTUQAAAIA5KIRYcD3nn8yByS3ZPNzfdBQAAABgDgohFtzA1IEcnNqS9UN9TUcBAAAA5qAQYmHV2ayePZRTZVu6ukrTaQAAAIA5KIRYWONH0pOpnOvZ1XQSAAAA4BIUQiysc08kScqqaxoOAgAAAFyKQoiFM3Ums3e/KUkytG5vw2EAAACAS1EIsXAmT6Xr5F1JkrWbrm84DAAAAHApCiEWztSZJMn52f7s2rq94TAAAADApSiEWDhTZ5Mkx6fXZs/GoYbDAAAAAJeiEGLhtGcIHZ/ZlA2r+hoOAwAAAFyKQoiFM92aIXS2a1tKKQ2HAQAAAC5FIcTCGT/a+tDvkfMAAADQyRRCLJjp0YNJku5VuxtOAgAAADwThRALZvzckSRJ3+qdDScBAAAAnolCiAUzM34iSdI7uLnhJAAAAMAzUQixcCZPJ0l6hzY0HAQAAAB4JgohFs5UqxAaGNrYcBAAAADgmSiEWDBlejRJMji8qeEkAAAAwDNRCLFgumbGUmsyvGpd01EAAACAZ6AQYsF0z45lqvZkzWBf01EAAACAZ6AQYsF018lM1t4M9HY3HQUAAAB4BgohFkxXJjNZzQ4CAACATqcQYsF0ZyaTGWg6BgAAAPAsFELL2fjRZOxA0ylaZiZSUjORoaaTAAAAAM9CIbRcPfkXyftuSv72JcnsdNNpkqmzSZKJsqrhIAAAAMCzUQgtQ5Pnjmf6I9+bE+MlGXsiOfD+piMl02eSJBNdqxsOAgAAADwbhdAydOzoI+kpMzk6tSFTs92ZeeBtTUdKxk8kSSa71jUcBAAAAHg2CqFl6NzZw0mSyeHnprvMpvvo3ydnHmw21PmDSZLpng3N5gAAAACelUJoGZoYbRVCa3e8OF2l5uGelzUb6JM/ltlH3pEkmend2GwWAAAA4FkphJahqXNHkyQD21tF0HtPviRZc2MzYc49kTz0tnQdfF+SZLZ/SzM5AAAAgH+2nqYDcPnq+NHM1pLhHXdkqgxl/eT9+d//+N50lWT3+qH81KtuTCllUTM8/Pf/JoeP7s+h8px874UnBrYt6nUBAACA+VMILUNl8nhGZlZn3cBAJtc8Py+eeCy3jv9QRqYH85Of/bH88NfvzbqhvsULMDuTLYffkeu7zubA1I48Mbstm3tOZbBrImVox+JdFwAAAFgQbhlbhnomT+T07NqUUtK/+avzvL7P5bb++/LyVZ/In1//5oycOz//izzDItWn9/9D1nSdTZLs7DmYxwdflXvHWres9Qzvnv+1AQAAgEWlEFqG+mdPZDTrWzvrX9j6uP1b8tCOf589/Ye+/BSyK3by3uT9NyeP/v7F52YmM33vv8tMLTm888eTJHXnd+afRl+QJBkc3jS/awMAAACLTiHUaU59Jjl/5BlfMjR7Mue72o933/7qZPPLktt/M93DO5MkY2ef4fOPfiyZHLn4+MxE8t+/M3ngN5JPvyXpW5fseu3Frzv7QDad+2j2T27Lhq/7j8krP5zrbvnWHJzako+cvS3DQ8P/3K8UAAAAaIhCqFMc/0TywVcnH3hR8v4bk/v/39YTvOYwnNOZ6Gk/3n14T/LNH01WX5/+Va0nfE2eOzb3NabOJHd+Q/LZn7v43Bd/NTnwvuSeNyWH/iZZ+/zkb1+SfOrNT8v58STJA+WO9PX1JVv/RXatH8w/zn57fuCxX8iawd7L/9oBAACAJaUQ6hCnHr8zOfw3OTyzNZ89f1Ny7/+R2b/ck/f93vfnIx/45adeWGezputMZr5UCF1g1epWITQ1NnchVE9/PqkzOXL/n+b73v6P+cHf+0QOjZzPo088mPH7fj73TL8s907fkenak+mj/5TTp49k7KH/8hXvMXXow0mScxu/6cvHSil58d7WjKXVA9YpBwAAgE6nEOoQo/s/nCT55XP/V35h7Nfyb0b/KE/MXp9v6v2zXHfkl1NrTZJMnz+e7jKb2r/5ovcYWtN65PvsxPE5r3Hi4H1Jkq1dB/PT/T+ZVYf/LHd+/mAOfOrtGSjn8/vnfzz7Z/bkRN2Sf3fut/OfT74uQzNHk7GDX36PyROfTpJsv+bWr3jvH/i6a/OGl+1Nf0/3/P5DAAAAAIvOdI4O0Tt5KLUmb/3XP5C+/oEkL0kOrk8+/K3Z1XUoR448nK3bbsjoyKGsS9I1eHEhNNC+ZaxcohAaOXxf1sz2pK9rOrf13pXfvPau/NETq7N66uN5sl6T/+9HvjeZeU0yM5Zf7FuXP/ub4eTEf8rooX/K8HP+hyRJz/l9qTW5ce9XfcV7v+jaDXnRtRsW9L8JAAAAsDjMEOoQfTMnMpOudhnUtv1bMjZ0S5Lk6EN/nSQZPXMoSdK7auvFb9I9kLHZgXRNnpz7Iqc/nwcn9mR2/Yu+fOiJU+O5Lp/Owb72se6+1oLSSbZfe0dmaldOPPGPrXOTp9JfRzNaV2XDmtXz+GoBAACAJimEOkT/7NlM1v6vPFhK+q55TWpNuo78fZLkfPsJYoPDcxRCSc7WtemdnrsQWjv1cI53PyddL/j55Lk/nZGunfkfB34na7pHM7PxpRe9/nnXbs+D49eknri7deD055IkZ8r2K/kSAQAAgA6hEOoQfTmf8Vz8yPaeLV+bUpKdE/+Q1JrJc61C6EvrBT3duaxL/+ypi47PTIxkU9eRTA8/N9n5bcltv5QTW78v1/S33m/Dnm+66HPWDvbm8XpzNkx8Nqk1o0fuTZKcH7zpir9OAAAAoHkKoU5Qa3oynbGu9Ref29C6lWtdOZl65sGUc/syW0vWrJ17ls75si5D9fRFx/c/3prlM7T5qbV/1t3yhiTJkamNuW7P8+d8v7OrbsuacioZeyJnD3wsSdK76dY5XwsAAAAsDwqhDlDPH0kpyXjPlotPDu7MeNf6zNaS//pf35L1x/40Hx29LetXz72Gz0T3+qzKyFcc+0/v+s859bEfS5LsuPap9YM2bL05Hzj3TfnY9Lekr3fup4P1bn1ZkmRk3wczdPqfkiRbdjz3sr9GAAAAoHN4ylgHGDv6qaxKMtm36+KTpaR78x2ZPPLRfP/696Qrs7l/x1szcIkCZ7pnQ9ZMP1UIzc7WfNfEz6avv+aTq388t1/zlU8HG3j5H2ZD36WHwbZrbs/I/lWZ2PeX2TK7P0kyuN4tYwAAALCcmSHUAcaOtxZrnh1+zpznezffnoGcS1dmk8EdecUrf+iS7zXbtzFru0czNTWZJDlw5Mls7z2eJ7f8SL7mX/56StdX/pV/w01b8uK9l35c/M3b1+WTY7dk06n3P3Vw9dw5AQAAgOVBIdQBpkceTJJ0rb3ErVgbbk9Sk22vSr7q55KuS8/oKf0bkyRnzrQWiz687xNJkuGtL7rk5zyT9av6cv/0C9OV2czWZKysT/rmWOsIAAAAWDYUQkupzs59/Ny+JEn/5kss1rz1G5Pv+GLyjX+dXP+/POMlugY2t96yXQiNH70nSbJ9zx1XELjlxFDrc+8fvy4fuuUzV/w+AAAAQGdYtEKolPLqUsoDpZSHSyk/s1jXWTY+8t3JJ35kzlO9E4dTa7Jx8yVuxepdnay5KSnP/tfVu6pVCJ0fPZpMjuSm0T/MyZn1WbV2xxVH79t8e0amV+Wu0efnpu3rrvh9AAAAgM6wKIVQKaU7yduSfGuSW5J8XynllsW4Vkd54DeTA+9Pzh9O/valyeN/lIx8IXn/c5Ppc8m+dyX3/0oyM/3U58xMpnf6RKbTnbVD/fOO0L+q9aSy6bP7kv/+Hdlcn8xI19yPqP/numH7hnz7Q7+e3zj++uzZODTvjAAAAECzFuspYy9O8nCt9dEkKaW8K8lrknxhka7XvNmp5LE/SE59Khm+Ljn7UHLm/mTdVyVnvpiM7U+mR5N735x84ReTTXckW/5F8umfzdo6mdE6lN5S5h1jaLhVCN207ydT60Rm0pWjgy/N3nm8583b1mT/1LY8b8ea9HS7yxAAAACWu8X67X5nkicv2N/fPnb16urNjxz8pXzy/Asze+bhvH3khzIzMZIc/Uj+29nvyrnJmczWkqRmYnwk0/v/Krn3zfn42Avzx6e+Lb819uYFiTG8dmcen9iez4xdn18/8b+mp8ymZ9Ml1ib6Z7p+y3BKSW7aunpBMgIAAADNWqwZQs+qlPLGJG9MkmuuuaapGAvqOTu2509O/3Y+kKM5tWFH7pztzg31E/nE2rfk0Xx/XlLfna+v78r7un4q+8st2V4fzCeGXpu6qiuvet7WBcmwYc3qvHPnh3Lg5Ln86OAPZyxrcuMLv2te7znY151feM3zc+tu6wcBAADA1aDUWhf+TUv5uiQ/V2v9lvb+W5Kk1vr/zPX622+/vd59990LnqMj1Jp86VawqdHk8N8nu17z1LHF8tBvJZ/835I7fi+57l8v7rUAAACAjlNKuafWevtc5xbrlrFPJrmhlLK3lNKX5HVJ3rtI1+psFxY/vcPJ7tcufhmUJKOPJtu+Odn7+sW/FgAAALCsLMotY7XW6VLKjyX5myTdSX631vr5xbgWl3Dbf2wtdL0U5RMAAACwrCzaGkK11r9K8leL9f78M3T1Np0AAAAA6ECeIQ4AAACwwiiEAAAAAFYYhRAAAADACqMQAgAAAFhhFEIAAAAAK4xCCAAAAGCFUQgBAAAArDAKIQAAAIAVRiEEAAAAsMIohAAAAABWGIUQAAAAwAqjEAIAAABYYRRCAAAAACuMQggAAABghVEIAQAAAKwwCiEAAACAFUYhBAAAALDCKIQAAAAAVhiFEAAAAMAKoxACAAAAWGEUQgAAAAArjEIIAAAAYIUptdamM6SUcizJvqZzLJBNSY43HYJlxZjhchgvXC5jhstlzHA5jBculzHD5TJm5ufaWuvmuU50RCF0NSml3F1rvb3pHCwfxgyXw3jhchkzXC5jhsthvHC5jBkulzGzeNwyBgAAALDCKIQAAAAAVhiF0MJ7e9MBWHaMGS6H8cLlMma4XMYMl8N44XIZM1wuY2aRWEMIAAAAYIUxQwgAAABghVEILZBSyqtLKQ+UUh4upfxM03noDKWU3y2lHC2lfO6CYxtKKX9XSnmo/XF9+3gppfxGewx9ppTy1c0lpymllN2llA+VUr5QSvl8KeVN7ePGDRcppQyUUj5RSvl0e7z83+3je0spd7XHxZ+UUvrax/vb+w+3z+9pMj/NKaV0l1LuLaW8v71vzHBJpZTHSymfLaXcV0q5u33MzyUuqZSyrpTy7lLKF0sp95dSvs6YYS6llJva31u+9OdMKeUnjJeloRBaAKWU7iRvS/KtSW5J8n2llFuaTUWH+P0kr37asZ9Jcmet9YYkd7b3k9b4uaH9541JfmuJMtJZppP8VK31liR3JPnR9vcT44a5TCR5Ra31hUluTfLqUsodSX4pya/WWq9PcirJG9qvf0OSU+3jv9p+HSvTm5Lcf8G+McOz+cZa660XPPrZzyWeya8n+UCt9eYkL0zr+40xw0VqrQ+0v7fcmuRFScaS/EWMlyWhEFoYL07ycK310VrrZJJ3JXlNw5noALXWjyQ5+bTDr0nyzvb2O5O89oLjf1BbPp5kXSll+9IkpVPUWg/VWj/V3j6b1j+gdsa4YQ7tv/fR9m5v+09N8ook724ff/p4+dI4eneSV5ZSyhLFpUOUUnYl+fYkv9PeLzFmuHx+LjGnUsraJC9P8o4kqbVO1lpPx5jh2b0yySO11n0xXpaEQmhh7Ezy5AX7+9vHYC5ba62H2tuHk2xtbxtHfIX2rRm3Jbkrxg2X0L71574kR5P8XZJHkpyutU63X3LhmPjyeGmfH0mycWkT0wF+LclPJ5lt72+MMcMzq0n+tpRyTynlje1jfi5xKXuTHEvye+1bU3+nlLIqxgzP7nVJ/ri9bbwsAYUQNKi2HvPnUX9cpJQynOTPkvxErfXMheeMGy5Ua51pT7PeldaM1ZsbjkQHK6V8R5KjtdZ7ms7CsvKyWutXp3Wrxo+WUl5+4Uk/l3ianiRfneS3aq23JTmXp273SWLMcLH22nXfmeS/Pf2c8bJ4FEIL40CS3Rfs72ofg7kc+dK0xvbHo+3jxhFJklJKb1pl0B/WWv+8fdi44Rm1p+N/KMnXpTV9uqd96sIx8eXx0j6/NsmJJY5Ks16a5DtLKY+ndYv7K9Ja68OY4ZJqrQfaH4+mtbbHi+PnEpe2P8n+Wutd7f13p1UQGTM8k29N8qla65H2vvGyBBRCC+OTSW5oP6GjL62pbu9tOBOd671JXt/efn2S91xw/AfaK+ffkWTkgmmSrBDttTnekeT+WuuvXHDKuOEipZTNpZR17e3BJN+c1rpTH0ryPe2XPX28fGkcfU+SD7b/rxsrRK31LbXWXbXWPWn9e+WDtdbvjzHDJZRSVpVSVn9pO8mrknwufi5xCbXWw0meLKXc1D70yiRfiDHDM/u+PHW7WGK8LIniZ/rCKKV8W1r35Hcn+d1a61sbjkQHKKX8cZJvSLIpyZEk/z7JXyb50yTXJNmX5F/VWk+2i4DfTOupZGNJfrDWencTuWlOKeVlST6a5LN5an2Pn01rHSHjhq9QSnlBWgstdqf1P3n+tNb686WU69Ka/bEhyb1J/qda60QpZSDJf0lrbaqTSV5Xa320mfQ0rZTyDUneXGv9DmOGS2mPjb9o7/Yk+aNa61tLKRvj5xKXUEq5Na2F6/uSPJrkB9P+ORVjhqdpl81PJLmu1jrSPuZ7zBJQCAEAAACsMG4ZAwAAAFhhFEIAAAAAK4xCCAAAAGCFUQgBAAAArDAKIQAAAIAVRiEEAAAAsMIohAAAAABWGIUQAAAAwArz/wMEPkxzXgMRLAAAAABJRU5ErkJggg==\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "rescale_lstm_pred_ca = lstm_pred_ca * max(ca_combo['JHU_cases'])\n", "rescale_y_ca = y_ca * max(ca_combo['JHU_cases'])\n", "\n", "lstm_ca_mse = mean_squared_error(rescale_lstm_pred_ca.flatten(), rescale_y_ca.flatten())\n", "print(f\"MSE of lstm: {lstm_ca_mse:.4f}\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "Hu7OhH-GFPph", "outputId": "a0ce995c-9a36-48f9-e00b-f146ad4c06bb" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "MSE of lstm: 1.2585\n" ] } ] }, { "cell_type": "code", "source": [ "# bidirectional LSTM\n", "bd_lstm = model_lstm_bd(days_train, days_pred, features_ca)\n", "history_bd_lstm = fit_model(bd_lstm, X_ca, y_ca, val_split=0.2, epochs = 150, batch_size = 16, cb = [lcall], verbose = 0)\n", "bd_lstm_pred_ca = predict_model(bd_lstm, X_ca)\n", "plot_multiday_predictions(y_ca, bd_lstm_pred_ca, max(ca_combo['JHU_cases']), skip = 5)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 974 }, "id": "J8eOQ9cQ9_aX", "outputId": "94ac2cba-7a64-43ca-efa4-bde6fb4fd942" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Model: \"sequential_2\"\n", "_________________________________________________________________\n", " Layer (type) Output Shape Param # \n", "=================================================================\n", " bidirectional (Bidirectiona (None, 400) 1028800 \n", " l) \n", " \n", " dense_2 (Dense) (None, 7) 2807 \n", " \n", "=================================================================\n", "Total params: 1,031,607\n", "Trainable params: 1,031,607\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "epoch 0, loss 7.768661975860596\n", "epoch 20, loss 0.019805850461125374\n", "epoch 40, loss 0.010429052636027336\n", "epoch 60, loss 0.04223049432039261\n", "epoch 80, loss 0.01510663889348507\n", "epoch 100, loss 0.001782926614396274\n", "epoch 120, loss 0.0035588969476521015\n", "epoch 140, loss 0.0016353704268112779\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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Ms4CrgK4/9plmGIa91tI2Mb179wa807kSExO58847efTRR2ndujUhISEAeDwennrqKZKSkvD19aVjx47MmjWrxnVM0+Shhx4iKiqK4OBgrr32WgoLC2u0Od6UsTfeeINu3brh5+dHdHQ0V1xxBQUFBVx33XV89NFHLF++vHqa20MPPVTdb968efTp0wc/Pz9iYmK4++67qaqqqnHtjz76iI4dO+Lv78/gwYPZuXNnbb11IiLSXBz5tvrDWuzZvz1mE9/Y8wkcvZgoZx53OW+j0mOn3OOLI2MRWVUt8D/yGTfM/I5dGTV3D3O5Pfjsn86OruOI33sHxIwgfvQsAge+xpcVF7M42UmFy82SHZk80P5zbK4i6PF4jWsYgfEUhA1hlN9CchaOxgAeTZ/CtrIkSjY/g+nRVDIREZGG5pWv9/DyF+vZfDjfe6A8A5xhYPezNlg9O2lByDTNFUDuL44tNk3T9ePLNUDrH7+/DPiPaZoVpmkeAPYCfWsxb5Pyv/V9YmK8w9L+/e9/s3z5cqZNm8acOXMAuO2223jssce48cYbWbhwIePHj2fy5Mk1CjsvvfQSjzzyCDfeeCMffvgh/v7+3H333Se9/2OPPcZNN93EkCFD+OSTT5g+fTqhoaEUFxczdepULrjgAnr27Fk9ze0Pf/gD4J1KNmHCBPr27cv8+fN58MEHmTFjBvfee2/1tTdu3MikSZPo0aMHc+fOZezYsUycOLG23joREWkmClpdz6rCrhQaMdjCuh6/YctzMZJuItReTGb4FbyTcxEArX2yeDb+RcJzFzD6nyuYve5QdZedG/7DRQGfUeLTDno+D4PmQPZqmNeGjm278m5qP655ax070gsZGrQWYoZD2NlH3bpF7/uJcebSwTeZCgK55cbnyU34M61sB1m54u3afktERETkV8grqSR3xztsOus3FKZ/5z1Yngn+zWv9IABHLVxjMjDnx+/j8BaI/ufwj8fkRy6Xt462f/9+brnlFoKDgxkxYgRTp04FvItB+/l5q5J79+5l+vTpvP322/z+978HYMSIEaSnp/Pwww9zySWX4Ha7efrpp7npppt47LHHABg9ejQjR44kNTX1uDny8/N54oknuP3223nhhReqj0+YMKH6+/DwcDweD/37968+Zpomf/vb37j22muZNm1a9XFfX19uvfVW7r33Xlq2bMlTTz1Fx44d+eCDDzAMgzFjxlBZWckDDzzwa99CERFpRr7cfphRQduoir68xmLSx9TjcXCVkND9YQLyZgJz2R9+A+1sO3jR/jx+ke8w67NFnB3YnW4dutBh7w34+Jfj6vAQdPmr9xq+URAznDaHn+G9s4Zw+fa/8ZseQbSo2g1Rvzv2faOHQ9QQyFqOb9Lv8A0O4LwLppA5+0lC9v+T8kHX4+fUgGkREZGGYOaqZP4U8Q42w8SZvRIY5V1DqJktKA2/siBkGMb9gAt4/wz63gjcCJCQkHD6N99wO+RtOv1+taHFOdD7n6fdLScnB6fTWf06ISGBOXPmEBvr3dpu+PDh1cUggK+++gqbzcb48eOrC0n/azd79mzcbjcpKSmkp6dz2WWX1bjXhAkTWLJkyXGzrF69mrKyMq6//vrTeobdu3dz6NAhJk6cWCPTsGHDKC8vZ9u2bQwZMoR169Zx1VVXYfzsw/uECRNUEBIRkdOyc9sSrvAtwUwae/LGvuEw8B0ALhn1e7atOUyXEdOh8gjGorN5suX9uH0OULLRn637rqAb5WCAM+Fn/4aGdIDBH8PWR+m99f94/9K/MDChCGOFCZHH2ZjBMKDHE/DVBZDoLRrZHE5K2v6J7ofuZ+GKj7l4+BW/9q0QERGRWpC6fzWJQekA5FX8+P+r5Zk11ghsLs64IGQYxnXAJcBw0zTNHw+nAvE/a9b6x2NHMU1zBjADoE+fPuax2jQ1oaGhLFmyBMMwiImJoVWrVjUKJtHRNSuS2dnZuN1uQkNDj3m99PR0MjK8q6FHRdVc/OqXr38pJycHoLoYdaqys7MBuOiii455PiUlBYCMjIzTziQiIvJzeSWVRBR+iTvSgT1mxGn1bRHZjhZj3/K+cLSC3i9jX/073KE9CSrYQrfif1HkCSYwMBRbWI+jL9DlTtj7OoOKnoIjg8HmhJb9jn/DyIFwZSHYfasPte17G8UHnyJw/z/xXHA5NttJRjiJiIhInbvW57mfBh2X/ViuKNcIoVNmGMaFwN3AENM0S392aj7wb8MwXgBaAR2Adb865bGcwQgdqzkcDvr06XPc88YvhsKHh4fjcDhYuXIlNtvRyz1FRUVVj9LJysqqce6Xr3+pZcuWgLeoFBERcUr5/5cJYMaMGfTs2fOo823btgW86yKdbiYREZGU3FJySyrpER/GF9vSGRmyirKw8wjy+ZW7ZCZeDcEd8GnRnZJlv8WZOZdgWxHEX3/sqWiOAOj5DKz6LeRuhJbngsP/xPf4WTEIwPAJJiViMkNzXmTX7tV06jzw1z2DiIiI/GrtHXupxJ8SMxDfyjRwlUFVYbPbch5OoSBkGMZsYCgQYRjGYeBBvLuK+QJf/ljEWGOa5hTTNLcbhvEBsAPvVLJbTdPU9hpnaNiwYbjdbgoKChg5cuQx28THxxMTE8O8efO48MKfNoObO3fuCa89YMAA/P39mTVrFs8999wx2/j4+FBeXl7jWKdOnYiLiyM5OZk//vGPx73+ueeey/z583nyySerC10nyyQiIs3b3qxiJr2+mpySSsad04q89E1cFZ2KmXTvyTufjGFAhHefi8ABr0LGpRDW/ZiLRFdLvBqOrIQ9044/XewkYvveQ/GC1wnefAu0+bxZftgUERFpKIorXJS6/SgN6Im98gjBnkzKi9LwA40QOhbTNH9zjMNvnaD948Djxzsvp65Tp05MmTKFq666irvvvps+ffpQXl7O9u3b2b17N2+++SZ2u527776bu+66i4iICM4//3w++ugjfvjhhxNeOywsjKlTp3L//fdTWVnJRRddREVFBQsXLuTBBx8kLi6Ozp07M2/ePD755BNat25Nq1ataNWqFc8//zzXXHMNhYWFjBkzBh8fH/bv388nn3zChx9+SEBAAPfccw/9+vVj4sSJ3HDDDWzbto233jruHxsREWnmSitdzJz9JMMCHXTqksATG+D+xJUAGK3H1e7NAmKg3e9PrW3vf4JfDLQ99pb3JxPWIpav3MMZ7l4I+2dB13vO6DoiIiLy6x0pLCXeWUhuUFecxbsIL9vF/LXfMxEosUUQaHXAenbSbefFWq+++ipTp07lnXfe4aKLLuK6665j4cKFDB48uLrN7bffzn333cdrr73G5ZdfTnFxMc8888xJr33vvfcyffp0lixZwmWXXcZNN91Efn4+wcHBANxyyy2MGjWKyZMnc+655zJjxgwAJk2axLx589i0aRNXXnklEyZMYNq0afTq1QsfHx8A+vTpw3/+8x++//57xo0bxyeffMKcOXOOm0VERJq3pd+t4bHIJ3g25hH+UHUTuyencUPMV951ewIs3LDU5oRuUyGo3RlfIjX+XkwTKg98UIvBRERE5HTl5qTiMDw4AuMw/eOIdeawYecOAAJDmt8G6cZP60Fbp0+fPuZ333133PM//PADXbp0qcdE0hDo5y4i0nx8NfMShvssxOxwC8aRlZC/GZxhMGQ+RJ1vdbxfZXdmETGLYwhweHD8pszqOCIiIs3WirWLGbxvNKlnv4crfxdtDj/Ko2k3MLXVW3DZIQiMP/lFGhnDMDaYpnnMxYw1QkhEREQstT+riHPtS3HjwOj9MgxdAElTYPSaRl8MAugQFcTOig44zHIo3GN1HBERkWarvPAwAMEtEggIawNAn8AfMDHAr/ntiq2CkIiIiFhqxbKZhNhLcbfoCzYbBLSGvtMhpJPV0WqFYRjs8hnjfbH3dWvDiIiINGOuEu8288EtEghtmQjAyJA1EDn4qN1CmwMVhERERMQymw9m4slYAoBPpykWp6k7lQm/xTTBdXiR1VFERESaLaM8w/vVPxaf4AQAHIYH4ww3j2jsVBASERERSxSVVRK8fBCTI+ZjYoNWF1odqc70bBdHRlVLXOU5VkcRERFptnwq0ynwhIHdp3rTCtNwQsIVFiezhgpCIiIiUu/KKt3c/86HtHPs43DkZIzRa8Ev0upYdebsVqF8WDAaH1c2VOZZHUdERKRZCnBnUWREeF84AsAvGiPuYvBpYW0wizSaglBD2A1N6o9+3iIiTdu7a5KJLf4SgNaDHoaWx9z8osnwcdjICRyEDQ9krbA6joiISLMUbGZTav/Z4tFDP4NzX7MukMUaRUHI6XRSVqZtWpuTsrIynE6n1TFERKQOVLk9vL0ymfFR30OLc7yLSDcDYfHnU+bxpSp1idVRREREmp0qt4eWtmwqfWJ+OhjeE/yjrQtlsUZREIqKiiI1NZXS0lKNHGniTNOktLSU1NRUoqKa37Z/IiLNwaKt6ZQVZ9HJvhXixlodp970bBvD+pKzqEz7yuooIiIizU52URmRzjzwi7U6SoPhsDrAqQgJCQEgLS2Nqqoqi9NIXXM6nURHR1f/3EVEpOkoKMrn2S92cWP8Sgw80Hqc1ZHqTa+EMKaXdGdw2Swoy2zWv5EUERGpb6kZh4g1PPiFNI+RyaeiURSEwFsUUoFARESk8UpP2UrgiqGcb/yWP0R8DGGDIbyX1bHqTbCfk8O+5wGzIONLaPs7qyOJiIg0GwXpGwEIi+5qcZKGo1FMGRMREZHG7Ztv/k2L5b0JMXJ5OP4tfCrT4Kz7rI5V78Lj+pLjCsWT9pn3gGlCxtfgrrQ2mIiISBNn5KwHIDx+kMVJGg4VhERERKTOtU5+FF+jivxWk/EJaQuR50PsKKtj1btBHaNZUdSTqsOfg+mBw5/C18Nh+xNWRxMREWnSwso2ctgVj80v3OooDYYKQiIiIlKnqsrziTb2s8k+lrChb8HF22DEMjAMq6PVu+Gdozjgcz6+7lzKMtbCpr95T2x7FA59aG04ERGRpso0acM20hzdrU7SoKggJCIiInUqffO/CLBVUpJ4808Hjeb5EcRmMxg+1Lt2UNGScVC0m02VvQEPrL4OqooszSciItIUlRcm09KeR3FQb6ujNCjN89OYiIiI1Bu/Q2+zvawdnc66wOooDUKPDh1ZH/MCGe5Yvi3uxZTDj5JZFQ7uEtj7htXxREREmpycg98CYI/sa3GShkUFIREREak77koiKnewyT2QyBA/q9M0GOcOu4Pu121i4B++Y96fL+D5/DvYXdkezw8vaIFpERGRWlaRsZIKj4OI1ioI/ZwKQiIiIlJnXIV7sRkefFp0sTpKg2SzGUSH+HHN5bfxdPrvsZWn4tn3L6tjiYiINCkB+avYVNqJttEtrI7SoKggJCIiInUm5eAmAGJaaxHHE+nWOpTzz/8tG0s6Ub7pEXBXWB1JRESkSXCVFxBRtZ1Djj4E+DisjtOgqCAkIiIidSbj8FYAOnfsZXGShu/agW351LyZAFc6ZdtftDqOiIhIk7B+wyIchoe2Z42xOkqDo4KQiIiI1JmKvF0UeEKIbNnK6igNns1mcOXF17G0sA+ObQ9gZq+zOpKIiEijl7LzM9ymjV49L7I6SoOjgpCIiIjUCbfHJKBiH/n2tlZHaTTOigtlX4dpZFa2oPir8dqGXkRE5FfweEzaejaS6Tgbm2+w1XEaHBWEREREpE7sSCskwXkYI6Sj1VEalRuG9WGOz9MEutIpXHMPrL8VvrlS6wqJiIicpoLSSrr67yXPX1PXj0UFIREREakTy7bvI8aZS8vYs62O0qgYhsE1Y69idt5FBKW8BnumQcqHuL75DXjcVscTERFpNHIL8wiwVUCApq4fiwpCIiIiUutM02TLDxsACIw4y+I0jU9UsB9Vra/ChsnBihg+KxiAI+1jina/a3U0ERGRRqO4IA0AR2CMxUkaJhWEREREpNZtTyskuup774tQFYTOxMXDr+TRwsdZ3mEpYSPnsbu8DUUbHwPTY3U0ERGRRqG00FsQ8guKtThJw6SCkIiIiNS6Tzen8ruWn+EKPQdCulgdp1GKDPZl6pT7uPa8zgxIimR/1G20Yh9b175jdTQREZFGoaI4HWN0X2YAACAASURBVIDAUE0ZOxYVhERERKT2mCZm9nrSdi2is18yjk63gmFYnapJGDbqNjJcUbj3zLA6ioiISKPgLs0EIDhMBaFjUUFIREREak/JAYzFfflj8OtU2kIg8TdWJ2oyfHx8SAm6iC7GevLys62OIyIi0vBVZAHgG6gpY8eigpCIiIjUntyNAHQP2IvZ4RZwBFocqGkJ7zQJX5uLnd/PsTqKiDRB+YV5fPz5+0x5dx2bUvKtjiPyq9krsyn2BILd1+ooDZIKQiIiIlJrPDkbME0oNFvg2/0+q+M0Oe06jyDPHYbt8Hyro4hIE7Rj6aOMz/0dt1b+lqVfToeqIjj0EbgrrY4mckZ8XUcoNFtYHaPBUkFIRERETl3uRtj39nFPl6UuwzAgOeZ2cAbXY7DmwbA7OOA3nK58Q25BntVxRKSJ8S/eQr47hDZB5dzhdx+eD1vCt1fApntOqb/bY2KaZh2nFDl1/p4cSoyWVsdosFQQEhERkVO3fyasvxmqCqlye3C5f7YFumniU7QVgMjOV1iTrxmI6DGFIHsZ2775p9VRRKSJiXDvYZ/RCy7dw9ayDuBxYZpg7n4FCnaesK/L7eH8p7/mw89mw57p3l8eVBXXU3KRYwsmjwq7CkLHo4KQiIiInJLy7f+kMrgreCowD81l4TvXkfN+NMVz4jDX3QRHvsVpllDs8ScmtrPVcZushI4j2O3uRlLO61RVVlgdR0SaCFdFCa3shykL6EKIvx+72r7CvfnPc03qNIpcvmStmVqzQ94W+CAEslYAsCM1h6fD76J35t2w/hZYOxmWDIbk2bDrFdDIIalnpmnSwpZLlU+k1VEaLBWERERE5KQKs3fht/kO3Ov/TL7ZktKNDzHO910Ou+JZkZOIZ/+78PUIAFLpjGHTR4y65E74La2cmaR8fbPVUUSkiUg//D12w4M9vDsAVwwbxdO33sELN1/PhopeeI6sqdnhh2fAVQQ7ngEgd8cszg/eRGtnBqUEYvZ/B7NoN6y6GjbcBvlb6/uRpJnJKChn3YHc6teFJeWE2YswfaMsTNWw6dOaiIiInNSWNe8CUGKPJZQcAqsOkuNuwVlXLeOR/Ee4r3gGHpsfAHmhQy1M2jx0GngHlaaT1jnvabFXEakV+WneXSLDYnvVOB4V7Ed5cA9ibIcxK37ceawkBQ7OAd8ISFsIhbvpkDOd/VVt+U/4XHzNMhYs/4zRu6fzePYdP/Y5WJ+PI83QK0v38Js31rAnswiA/Px0bIaJzV8FoeNRQUhERESOVpkP31wOuRspr3LjzFhEqieRiMs3kxw6CdOEvIgJ+AeEcP2gRObsbcFynykABMaPsDh802dz+rAn+Df4GFUc+eZ2q+OISBPgyt1ChcdJfEL3o87ZW/YGID9tPQDZ6x/HY3qYVvEQpuHE/PJ84oz9rPO7gWvGjGVf0HhGOT+kR+swtnG+t2/23vp7GGmWDuaUYnpcfLboFcyqUooL0gBwBsZanKzhUkFIREREjpbyEaTMBdPNgu9+oJf/FogbCz6htL3kP5SM2k7ShW8A8Jt+CYQFONmVvJcKj4O2HQdbHL55SBj2MlWmnfC0GVCwg8LyKnKKtaaQSHNRWF7FgeySM+tsemDvDO86QD/yL9lOclUbgvz9jmresnU/AHJSvNPG8lK+wYaHW/gTH+cNZY+nG69kTsTZ/moMw6DjiBfw8Qvm2eFu7rjkfCo8Dgpz959ZVpFTlJpXxm0xH/Nn3/vYu2EmpUXegpB/sApCx+OwOoCIiIg0PCU73yarMo4th2LZvXE6zhZuWnW9svp8UORZ1d+H+Dn57C/ns2mbg+2ekfQKCLIicrMTHBTCtwFT6Fn8Fp5FQ1hZ0JV2Pgdw+hYQGNEVe+e/QJuJVscUkTryyaJZlKUt44+3vIvNZpy4cckh+P5u6HAzRA+B9C9g3U2YQKU9HJ/gNnTmexbbr6DTMbonJSSRvqYlnpwN5GVspYN9B9t8x5OQNIiFKxP56wY/bAasaB/t7RCYgDHuMDj8iS8oI60qEqMouXbfAJGf8XhMWpRv5s/t3gMgJ2MrJT5tAYiIiLcyWoOmgpCIiIjUtPctAgtW8ln+Ffzzv9+zMOldinw7EBwx8LhdYkP9iR00DBhWfzmF/pe+xP/N7M+48ifpFrCPKr94bBVZGDnrIP1zFYREmrCkwtn0a7GMA5n/oH3sSXZR2vcvODTH+1/X+ynPXEOxO4JD5S3pFbiL1OwA3si8kW6D7zxm99AAJ1tcHelQtpnc9Y/i7/HBp89zhLRpx5vdTTILKyiuqKJ1i4CfOjn8AYgO9mNtVRTx5Ydr69FFjpJdXMEVoYtw2/zJrfLFVrQXu3GECsOHkIhjlTkFNGVMREREfqFq93QAbor8mJmJD9LBL4WA3o+BzW5xMvklh93GPVdPYlOn+QRdsY/EK1fydtlt2HBhpi6wOp6I1BHTNIk092E3PBw6uAk8Ltj+BCzqATueBldZjfaVh+az39OFLysuhu2P45f9Fe/lXkJ638UcMHoSYuSQ2G0il/freNx75vp2JYZk2hf9l89LL6RDgnf0hWEYxIT6kRQVfMx+NptBvi2WQFda7b0BIr+QkldGgk8GZf6dyHZ0JMSVTKJrHb5GJRTusDpeg6WCkIiIiPzENCkqLmBraTuKWl/HgKAtVAR3x97mCquTyXGE+ju5cXB7wgJ8MAyD9v1v50hVKEbFEe3qI9JEZeQX0caZCkB+2vfw9UjYfD9utws2/Z2UBZeCaXobl6bhU/g92aUGn3r+yOLiweS7g7ngkge4uEcCiWM/xhl5LtcNPPG0mrSIa3g+47f89dAdJLd5DMM4yTS1nylzxhHKEfBUnfEzi5zI4bxSEnwzMYLaYgZ1oLXjMHHONNzYIfRsq+M1WCoIiYiIyE/yNxPu2su35gTChryJcelefEd+CYY+MjQWo8+O5ZvyId4Xh+ZaG0ZE6kTKwS342FwAmIU/kBN1Ffs7/4t7yv/NY2mTiS9dQskP3oX/SVsEQN+gHbx0ZReG37AU54RD9GjfHgAjqA1+Fy6HkOOPDgIYc25vCtr/nUEj/8qtI7qeVl4zIAGbYUKppo1J3UjLLSTWeQT/Fh0IiuhEkL0cp+Gm0q8t2LRSzvHo052IiIhUK989i0qPA1ubHxeQDkoEvyhLM8npsdsMShNvAqB833sWpxGRulCQsQkAFw6CK/bwu89aMHGukw83HCaz1c2sKu6OY/OdUJFD8f65uE0bh/2GQEhH7HYbgYFhp33PxIhAHrnsbC7v3Rqn/fT+N9InJBGA0jztNCZ1oyg3GYfhwRnanuhW3aqPO6IHWZiq4VNBSERERLxMD+bB/7C8qDf9upz4N8XSsI0cMIwCVyDOwi3e7aVFpElx5+/AYxocCRhEO59kXo68k2/P/jPPjnTwwqReLAt6AKenhPyNT7O3NAq74SGg2x2W5Q0K945Gyjuyz7IM0rS5i378sxXUFt/wztXHnfEXW5SocVBBSERERLwKfsDflcG35YPoFhdqdRr5FaJD/NhiG4EdF1VpS62OIyK1LLBsF0fMOJyR59LeN5Ukv8P4GWVcWXg9ztIDXH/xJXxZfB6++16mXdGHpLoTCE8aa1neiGhvQag0XwUhqRs+Zcneb4LaQWAi5v9ORGiE0ImoICQiIiIAuLK+AcAePRi77dQXC5WGydPrH5R6fEnbMsvqKCJSi8qr3ESZ+yjwSSIiricAZkA8jFrjXTzXGUJsqD9Gt//Dhpv97s74jVxk6VpwrVuGk1IZjaNgs2UZpOlye0wCXSm4cYB/a7A5MALiwTcCAlpZHa9BU0FIREREANi/YzHZrlDO69nP6ihSC87rnMi3ZYMIz50H7kqr44jIqTI9UJx83NPJa1+ig+8hfCL7QFh3AIxOf4EWPWDYYvCLBGDkgOF833c3Ha5aTcuY01sEuraFBTjZUN6DqLI1pz6NteQQ5urroaqwbsNJo5eWX0acI51SZxzY7N6Dnf4MZ/3d2mCNgApCIiIiwuG8Unzz13DI1pNhXWKsjiO1wG4zqIibSLBRSOaeRVbHEZFTtetFWNAJKvN+cfwV+PJ8Oh/6K6tKexHb/wEIOxtGfgudbj/qMoZh0L9jIoF+znoKfnyGYVDRcgiBFFB2ZONJ27tcbg4s/A3GgZlk7P7x7y9XCSwbC1nf1nFaaWz2ZhUT75OJGZD408Eud0GXOy3L1FioICQiItLMFZaW8Pd3F9HGJ512XUZZHUdq0bn9J1Hi9iNt+3+sjiIip2r/TPBUQsnBGofdh+biqSzg1dzr+SDwVXz9f1zrLXLQT6MiGrCO3S4FYO/meVCaBqZZs4GrBDKXATDvk6dp61oFQMbB9QB4dr4EaQso3P1+vWWWxmHfkWJa+2TiG9be6iiNjgpCIiIW2ZtVTHmV2+oY0pzlb4N57SiZexZvt7wKgLA2F1gcSmpTTHgYO40BxJUsoVJ/34g0fPnbIH+L9/vS1OrD6bk53L79Yt7e15GLAz9ndKfT3zbeaj06diXPHUqXrKfgkzg49MFPJ0tTKVk4EM9XwzHLsuhTMp1k8yxSq2KgYCtU5uPe/gwABalrLXoCaagys5KJcBTgG27t1MjGSAUhEREL7MooYtQ/ljNh2ipS88usjiPNVc5aKDlArO0QGb79IGEihPe2OpXUsoC244ly5LDu+yXgKoXNUyHve6tjicixHJxd/a1ZehiAsvz9hC1qzctRd3FdxDwyjSQGt234I4J+yWYzKPTvhsNw4caOZ+eL3hOmSdGCgQSWbMGGh/yvrqSN8zCpkZPJcnSmReUu2PkPnO58VhV3J9L1A3hU4JafOPI2eL9p2dfaII2QCkIiIhZ4Y+l23m/3AM8E3cDX//1Tvd130dZ0rn5jDVXuU1zQUZq27LW4cFDi9idk9AI4bw7YrF9rQmpXx15X4TZtJO68AfPDSNj+GO5vrrI6loj8kmlC8mwO2M7FYxoU5HqnjB08sAl/Wznbo6din5BGv+tWEByeZHHYM5Nw6SK+Df47mZVheHI2grucqoI9BLsO8Wn5FQC0KFxBsdufiK5X4w45mzjHYbb4juextMm48MXPKKcid7vFTyINScvyTbixQ3hPq6M0OioIiYjUI7fHZO3+HCoOfsyAwE20CSphov87pOXk1Mv9F2xJY9W+HL7emVUv95MGKn0xbLwTT/K/MUw3O30vJjS4hdWppI7Y/SPJiZxIicvBnJyhZFSFYy/eDTnfWR1NRH7OMDCHfsbXeZ0xMKnM3QFAeUkmAD4Jl1TvINZYGT7BnDf2SWa67sdBBZ70r8javwyAoLNupMQTAMDi4iF0iI0hNKYnDsPD5q+e4O7YdzgvyPv3VtoBLSwtXnkllXR0/kC+swM4Aq2O0+ioICQiUk+q3B7GT1vJpBlruCFyPiYGnqjh+Npc7NlaPzsAbU4pAGD2ukP1cj9pgMqzYemFkLkMw11ChelDXF/twtHURY2azZ4+q3jfcy/LbdcCULL6NotTicgv7SyNpZtjA5Wmk6ryfACqSr2/xAkJjbUyWq3q0XscxW5/0nfMoSz9W4rc/rRp15d0vwEUuAJZ538jNptBfNt+AFwT9l+KAs4hf9hWStx+FKf9unWE8haPJ/fr39fGo4jF9mUV0d1/DxUhmvJ+JlQQEhGpZQdzSnh0wQ7u/GAzHs9PO2jMXneILYcLeH3IAXr478RwhhLSa6r3Q1/a4roL9OMuHllF5ZQXpTMxej1r9hzmcF5p3d1TGq6SA4AJeRsxgE+D/0lMYn+rU0k9uKR7Kz697TzGjPEWggIL10BJisWpROTn1m1ZT9/AHaRURWOvyADAU3YEj2kQFhZtcbraM7JbG1aUDqTlkQ8JL1zKtvLOJEaEEBQ/nFBHCV0TvM/qF96JKnxxGX60HPEfwmO6ss/VgYDiX7EOmmliz/qK3NT1tfQ0YqX9yVsIcxTjF6PPMmdCBSERkVq0fOtuPn3vRvql3EDvzHvYnJIHQGF5FZ8s/4q3u0xndN5tGABD5mGEduCQ7RziK1bi9pgnvPZp87jhmysoX3EVX+/MZNOhfB6Ke51noh9mVefr+XbtZ7V7P2kcSpJrvBwz5FJrcohlQiLakWP3bs2bs+Ndi9OIyM/5Hn4fj2lw0NOFQLd3qpitIpsCTzC+Pj4Wp6s9Pg4bGfF34qSCcPMwqY5zsNkMYpJGAjCxTbK3oc2Bs9v9OAa8DcHev7dyA/qQwA6Kis5sun1RXjIhtiICzILaeBSxkGmaHNj5JQDh8YMsTtM4qSAkInIKDmSXYJonLtisXv8FZ39/LrdEzOaCyENc3fIL1m1ZA8CHC97mv/E3MsRnCbS7AXq/CFGDAaiMHE4n3wPsPLD7mNc1TZM/vvMdjy3YcXqhtz8OKR/hl/oBL855j7cWL2dM6ErccZfjsNmIS3vxpM8kTU9lwT4ANpR1p9y/EyFhrSxOJFbwTbqaYrc/5fvetzqKiPyoyu2hr20xB539KfJpR7CRD+4K7K5cijyhVserdaMHDmVu3jAAqsK8U8NocQ60vRbf4PifGnabCok/LYTfuuvlOA0369f894zum7LfO90s2FBBqLFbn5zHlb6z0KfZM6eCkIjISazam80Fzy1j9roU3B6Tbak1P0CYpsnmA4eJ3X4DpuFHxYi1OFtfCEBVyqes3pvFgIInKbDFYRt/CPq/CZ3+XN0/puNFAKTt+fKY91+8PYOB+Y9g3/vKqe8OVnoYc+vDLC7oj8u081HS37k3+P8wMLD3eYGUFpPo77uKPQf3nsE7Io1ZdsYu8lzBlAz4BL8xK6yOIxYJ6vUwSxxTiPPsoCRnp9VxRARIPvQD7XxTKW45GkdQHACekjT83DkUG01v4f+4MH9WB9/Jq1lXEtTGOzIImwMGzIKo84/bL+msUZR4gihL/pSytbdj7pt5WvctSN8IQLC9BFdV5ZnGl9riPvOfQdrqR2nnl4YZcpa3mCinTQUhEZETME2TZ77YBcC0ZXt5dMEOLnn5WzaleBd6PFJUwe//8S/yvhhHgjMN28B38I8+FzrfgQmM8fuUBR8/Shf/ZAL7Pg1+UUfdIzyuL1WmA9eRdUedK6lwsfubJ7k+4lMmhc5jfXLuKeUuTV+FgYdF5vUYcZdgN0zOCdjNdscoCEygVe9bcRpu0r5/7czfHGmUyvL3kVoVRe/28cf88yjNhGHQvtc1AOzb/KHFYUQEIP/A5wCEth2Df2gCAHk5B/A38yi3hVsZrc5cNbgvM0tu5Nz2pzFa1eYkP3QIowM+x3/fi5Su/Su4K069e+G26u/zCzJPJ67Utuw18N8gKDz2KPlqpqd6Tcz/Ka+sZITb+znWNmAWGEZdpWzSVBASETmBr37IIj19L+u6TaG7ZzEzVyUD8N/vvAuxzl+5kjejpjAodCfFXZ8hvP1ob8ews/EEtKWdbyqPxr1KZfhAfNtddeyb2H3JsHWiZcWW6kWo9x8pZvqyfdz00pvcFDydKlsQ7XzTWL1t+ynlzjq4Frdp46oRY7Cf8yiGzUFFSC/aj3kbgBYx3djlOYeEwrmaNtbM+JSnUGRvTaCvw+ooYrEuST1Iq4rCfuQbq6OICOCbvZQjrhbEtelDaHgiALnZyYSQT5WjpbXh6kjftuGsv38EMaF+p9Wv1VkTcBgeMsxEAskjY9u/T7lvy6qduE3v/wYXqSBkqfJ9s8FTRXnOST7f7vsXfBgGpWnVh7ZvXUKQvZxyZyyEa4exM6WCkIjIcXg8Jq99uZ55Hf9GlHGYVxOe4b+dHuH9s2eweMsBisqrsO97HR+bC+fZdxFyzl01+ts7TsEwwJYwCZ8RX57wNxdVob3o4rubVXuP8Nc5mxj+wnL++cUWnoh5BnwjcJ4/B4C8Q0tPqYDjzv2efRWt6Z4YC2HdYMAsfAs3EvjD1Oo25dGX0M6ZzLa9205wJWlKSiuqiDDSsYe0tTqKNAAOu4299CKuav1Rv3kVkXpmmiRUruYHT2/sdhsx0e0AKMlLJtRegMenaRaEzpSRMBG6PYTPmJXkuEJosf3WU5p6dKSgiDbOQ6SYnQAoLsyo66hn7LOt6SfeEdZVAoV76i9QHag4+CkAB9MOnrhhyQHv8/5sZHPRvo9xmwb2cx7V6KBfQQUhEZHjWLA1nSvsLxHtOALBHXAl3UTvyBIG2eZzvu8yfvfWOi4OWoyJAR1uPfoC8RO8X6POB0fACe8VFj+QYHsZj86ey4KtabzZ9xu2DXqYBPsBfAb9C2JG4DL8aOf5nkO5J98uPqx8O6l0IsDnx1EgbSZBn1eh023VbZJ6XA7AgS1zT+0NkUZvy749+NsqaBHZ0eoo0kCUhA4kzJZHRe5pLlovImemPOuYhz15Wwmz5ZId5F07JyayFQXuIIzctTgMD4ZfZH2mbPicQdDtQcLDW5EeMBRfysjcNP2k3bZtX4HTcFPR0ruxR1nxkbpOekZmL1vD7iV38vm3i4/faPtT8EUf73SqBmhbasGJ174s2kuo6wAAlSUnKcwVHQD/1t41pvAu6RBX+jX76Imzww21FblZUkFIROQYPB6TaV9uZVzYCu8W8d0ewtlvOraLt2IGd2By7NcEl24hwpkP4efCsT6oBbWHge9D63EnvV94/HkADAjdx+Lx6Qwvexqn3Q7nToNWY8DuQ3lIH/oE7mB7WuGJs5cdoaUti/LgbjVPdLzFO1roR4GRPcgzo4jI/ZSH5m9n9b4z275VGo+9+7cCEN+6i8VJpKEIThgOQPqeLyxOItIMZK+FuTGQX3Nk7qtL9zLzg+fxmAZGqzEAOBx2Dno6kli12vs6QAWh40no/3cAXDtfOWnbsgPzcJs2os/2rqFWWXrsAt3/lFa6cJ3qhh61ZPu2rxl3eCh/iZ5N59KPjtuu8sh6qCqEilNbX7I+peSWMvaVb1m4Jf24bSoOzgfAZdrwlJ146l5p5lrcJSmUl3qfdf/BnXTw2U9Z5EW1F7qZUkFIRJqtCpebP01/n//7YAXZxTUXI1yXnEvbqmX42SrAGQbx3tE0GAZGu8mc7dzMe0lPYgBGtwePfQPDgMSrIeAUFkoM6YLHHsiDUc+RuOuPENAGRq+BDjdXN/GLPY+u/vvYnZp2ggtBarJ3q/ug6D4nvqdh4A7uxICADTh2v8DMVftPnlMan9LDsGIc5G8nM8O7QLpfi/YWh5KGolNSLzKrwnGnf211FJGmL28TYELhTzv7lVe5eX35Xob7L2Wbqyd9zzq7+lyRfzdC7UUA+ATG1HfaRiMkrh9V+NKKvezat7XmSdOEyjzA+7mvfcUSDtnOITjK+wsyd9nxfxlmmiYXvfgNryytpR1Zc76D+e0h69sTNiva81+cRhUF7mDs7uP/ErDsyGYAXCUn/lxohd2ZRZgmR095Kz0Mh7wbGeQnL2Z/RSsOV0ZjVJx4pJajIg274SE1xfvzLcj0FlUDYvvXfvhmRgUhEWm2Nm7fyD9Cfs/fK0fx8TtTKCqrpGLbc7i+v4/vvlvI71ouxvSNhpHfgt33p47tfs//s3ff4XGUV8OHfzOzvUir3osly3KXO+5g0wymGwgQCAEChPK9CSEk8AYSIMCbUFIJaXSSAIHQOxj33nuTLav3stJq+858f4yQcFRwkb2S/dzXxWV55tnZs8K2ds+c5xwkBQK1YM3QK3iOlawgj3kAKXE6oIGsAIfuhzYEa1EkjVB13w1gG8r0hFBW/rRvfNqE0bciSXB/+vPM8IuJYyelkleg4l18qpHMwEpUZLDnRjsqYYBIirGwLjiFdO9iiPijHY4gnNT8zXq/F19bReexT3fUkMk+cozljJ1+Cxkua+c5Y1JXo1ybM+XEBTrYSDIknQ7A4o9/zfqvTWQNH/gHobfz2Lzo17y7dDGFlhJC6RehmJyENANasPfqmopmH4WhL2ir29brmiOimMFzAPx9b4+yt2+hNDyEFi0RY28JoaCbWE2/jrulouc1UVTS0A7o03g7aSosvxKWXwHBZpTWnewNDsVDHMZQQ+8XC/swof98aqnTp5H52/ThLq6E3OMS/6lEJIQEQThlqbt+A0j448/gZteLFP/nbMxb78Gw6/+4M3w9MxwbkYZcC65Rhz7QmgZzv4D5O+CSsv5rZDfypzDpaUg/X3/DsOuJQ8+nng1Ahm9pr5c42NCOseotSoI55KTnfONTSkOuhjEPowHnm8XEsZNGyAMfjoGV16HtfJyQYzgH9y3jW3GfUpn8PTA6ox2hMIA0xl+KVWrHV/phtEMRhJNaQ61eGVRbU9J57MO1W7kv63U0SemqRu6Qktt1Y8cZm3ZighykjDkXI0lwRexH3P7K2s7eNV/UpLPBncm46nu5uEq/gZcz9hqQJFrVGJRg7xVC+w5s55mcXzEj/Eq/xNiu6f0kve6y3hdpGpnaLuqMowhIdkyap+d17q6pXK3Nlf0SX3/aX68nhOq+nhAq/is06FsgqV1EvFZBwDYcnxyPVe2jUstzsPNrf8t+ACIevSoqLiG7fwM/BYmEkCAIp572ciLlHzAh/DYbpPnEn/0mfhyMl5fyZtvFzCt7nVsO/oztI96Bokd6vkbKGeAcqt+V6k/x4+GMD2HMw93eGJKmv5EZbtxJXWv3O/mqqvHrf77MaPNubKPvRDqcRJUkw5gHqDFNoS1io8Ub6o9XIURbw0pwb0crfRUp1ILRs5sR+79HaSCNuGlPfPPjhVPK6ImX0BiOoXHnS9EORRBOaopXTwRF2vUP8G6Ph4dM1zHDuhpp1P1gSTxkfVbWOLyqXqEc6xIJoT6lzAUgXmmmSFnB8n16xckuTyoPV99M1Zh/0JIwn/qU72KOKwDASyzGSHOvl7SX/hlFUrFG+qfx9L6dSwBoLut9y1hrUwlxSguh2PEEJCeWXhJC3o7tYgD+1oGXECpraOHnaX9D83RMDwt70bY8QJsaA0Dj3reRJQ170iiCxkQc9P7/vPbdhQAAIABJREFUoamsqzJeatf/Dkn+KjyqDYNZ3OA6ViIhJAjCqWfJfJRlF2KSQoQK7oJ1t2PBg4rE2adfzgu3Xcj5593GqHEXgWKJToxjHoCY/5oEZXahSkbyzJU9NpbeVunmLOVNQpKdlKJbjujpgjFjSTY0Ud7UfixRCwNF/Qo0SSasGfGpJn5Y9wQ/Lv8hv/Y/hcMeE+3ohAFmQk4Sy/yzSXJ/ro/1FQThuIgJ69tc5I4tQ7WVO0gzNbIz89cw9sFu62WDgQptKD7VjMUq/u3uU0whZC1AM8VzfdInvLNZT5Kkt7zDRwU/IH3fj0kpOI+kM1/ofEhAcWFRW3q+XqiN0X69102hYUfPa45QsGkrAHKw90bWNSUrALCnTiEkO7HQc0KorWYTnoiVgGog7O29cXO0ONrWcWPSe4xUF+kHDDa+TP8nnrCBoGrAXPMuABk5E1FNycTKLb1OS/NUrQQgrClYAvrfIVOojhYtscf1wpH5xoSQJEnPS5JUJ0nS9q8di5ck6XNJkvZ1/BrXcVySJOkPkiQVS5K0VZKkCcczeEEQhCOmhlFbdvGf5rncVPd3JhXNhML/gdOeRb5wH7HDryUt1sol4zMOr8LmBNMsqbgMHnaUlHQ7t2LnXi5wLSOS820wHtkbR4srD7vip7p+4N1lEo6cVr+CeqWQOw7ezQem+3n8zh+RMOYWLp49J9qhCQOQJEn40y7DLPlpLfkYAH97Izv/cwmv/ed3LN7d9/QXQRAOQ7AZu6Q3iDaH9b9TLfX6FjJ78rheH6amnkedcUyv54UOkgSz3kQafhcz7eup2L8cbzCMI7CXkGaApOlgOLSaRJKNZCkHIdzOsn31/OztbQTCEQDU0n9jl/RkTESVvnlLfc0XEGrrc4nVoyeEDKHet0f5atcS1mQy86YRMcRgk3pO0mvuHezzZ9MQjoNvmNB1onkCYfLQX6s90tUv6fk1DaSZmqhVU3FIbYQ1mfy8CcjWJIxSBI+n5z5CSquekNsvTcSl6e9TbZE62qTk4/xKTg2HUyH0IjDvv47dCyzUNK0AWNjxe4DzgIKO/24B/tw/YQqCIPQPte0gMmEabFP5423XYTUpkDAJ8m8C58CfvKTEjgRg/65P8Ycih54r+ydmOYRlxO1HfN2YRL18urVh/7EHKUSNPxRhX3UzwdqVfFyTh3PoFSy4/H5MBpn7zh/BuaPElBqhZ+MnXkxrxE7trjcA2PvZ/zAy8C5XBe4isnQBvra+RzMLgtC39ka9oXRdKA6Hqm9BCrbox5LSR/b6uOFnP0HOt9Yd/wBPFoX/Q0iJ486El1i1vxFHuIIm0mDWfyD36kOWmhSJBIObkHs/72yq4p9ryrjnja2oqsYB5+V82DKDiCZjkQO0BcK9PmV7Syl8eTZ7V/6uz9CSw7sAMPQxOczauoGSYA7JLhcRJQaH3ENCSNNw+nZxIJSDW4vHEOrj32f3Ln3S2glUUt/OBJue7EyQ62kPhImoGkPC+tATt02vGanTMjGZrRhtesP05saO5thVn0LQDYFGWHU9caE9hDUFn300aYZa2v0hYqUGgkaREOoP35gQ0jRtKfDf7dcvBr7aaP4ScMnXjr+s6VYDLkmSxIZXQRAGjJpK/Y7FsPzxOC3GKEdzFBKmAHCO5RPe3NA1VaLW7WOu8jZtchqE3Ed8WasrD4CAW4yeH8wu/ONyfvjXVzDjIyVvLk9cPhZZHniVbsLAU5gez8bQaSS1fk7d7rcY7f0XS7iSsuwHmWVbg/rxeAj0Po1HEIS+1VTtBGBLYBQxshsiAeT2A3hUGw6nSNb3G2MMocIfMydmA61Va4mnilYlo8elQZP+MdXTWExW23v8O/9etu1ax1ubKlm5v4ki215alBycio/mtt6rf/bv1RsltzX1flNN8zeQoujVMt0aRRc/C0svgbZi8tU17JZnIkkSmjEWixwkGPivvpGeA9hpptY4Fp+ciDXSVVmjaRrL3ryF9cuf1yuHPhoN7xfAwX/1Glt/O1DfxgS7nvxKNTZS3xagsT3AVPsW2pVUnNlnAuC16K0RrM50AFpbqgj5GlEXnUfJl3fB/ueh5GXsUht+yYkxZghWOcCBigMkKk1EzCLN0B+OtodQiqZpX21WrAG+moOYAZR/bV1FxzFBEITo+PpdkfZyXNv06pncIYN0R2vsCADOc61iw5rXO0ubd696mgJLOU61GirePfLrdowhl7wHu4617ICll4G/j1GgwoBR1eLjdPVlnit8GoB5cxaIZJBwREKp83HJzSRuuByQKDzjYbJm/JyHPE9hD1ehlr4R7RAFYdBqa9DHZXuc+o2diLcaS6CUei29/6aVCgDYhl0PgNSwklSlhoApq8d1iiMXgLaGnYxSFzHFvp33ht3Nmg1fsGPbZ2Sa6gm69P9frS1VvT5fY+UmAIzB3sfJN1d2VXkZtf9K8NQvh4p38W24Hw1IiYvV4+/Y/u9tKYGyN3n3tXv4y5svodbpfYZ8sacRMCbjpGsL2trV/2FW8O+klPwSDA447TlCmFHX3gHqoZXlx0tD9Q4SDK2oGEgxNlLvCVDXGmCSfQdu53Sy86YCkJatvxd3uvSEkLetmvraYmRJI77+TdQDL9FiGcM/G+dRm3UPjgS9mr10/0qscgDZnn5CXs/J7pibSmv6hsojrkOTJOkWSZLWS5K0vr6+fzq3C4IgdAo00rrwcryvJRCp/FQ/tvPXWCJ1tKsWctJzoxreUXPo29oCxhR+lXA/7W8NJ9S4FbniLVRNgrMWw4Snjvy6pjj82DAHuqqOkCSoeBuK/9I/sQvHVfGeZdyf/jyxNiOMuAdsYhSrcGRGjTkbTQMVid0FL5GaXogkSUybtoADgXSqtvXP6GVBOBWF3cU0hWOISdH7ATU3lhKvVdCqiH+r+501nTbVia1tA0nGFlR7To/LnAlDAfA37iRVKqdWGYlssHKd/CgL5D/gk+MIJunTy3ytvTdu1jpGwNvCvSeE3FVrAWgMx2IgdMgNyya3Xn1prnoTVZMZZtc/G8tmPTEUbCmG5Vdwsfokl7TfTU3x57RGbAwtmIJmTsYlt6BFwviDYey7f46qSWQpB3FXr2PZxhX8eX8RcriFSNPGw/r2Hauc2t8D4IubQaqxifpWP40tjaQamyB2JFJcEWRejD3/CgDi4vXETtBTg7vxIACxShty6w7ebz2LZ9rvYciM+0hKLQTAX6VPaTM7M0/I6znZHW1CqParrWAdv361cbES+HoKNrPjWDeapv1N07RJmqZNSkpKOsowBEEQehAJwuezsNe8Q73fjLTkfNj0U9j/dxojidSTg6wM0iGLHX2OzEOvZzkLsAdLWffFr0mXK2iKnQPJpx/ddSWJNiWDWLUKXzACTRtpWnIrAOrWB2F33/viheiLL/0dnogVwznLYPzj4o6zcMTSs8awM+0XlJ62mpFTrus8Pn9sOvuMZ5LuX0HpumeiGKEgDE6aphHn20A1Q4mJ0z8qNdXuIU2pJmTNjW5wJyNJolYuYKJpDQAG55Ael7lS9Kpr3LvJMVfR6phCuOhJxtqKmWLfSWD0/2Fx6e+7fJ6eGzf7ghESwnovKKfaRy+fpg1UBRNpl5ORJQ0i3s5T9c16hU9EA5McJnbk9wBQzC4APJqdn3v+xFZfAanGRhIaXmeLbzhzR6Qh2dJQJBW3u4Ztm95ntHkXKxx3E1ANGJZdzKzgs9yR/BoA5TvfO5zv3jGpdvuYqCxHRYa0c7HKAVpaavE26d8jS3whKGaY/Y7ewxOIidW3fkV8dXhb9M1G7aqdiCbzh+IJLJiYiSxL2OL0BN6QsD51zOHqufJLODJH+4noPeD6jq+vB9792vHvdEwbmwq4v7a1TBAE4fgL+2DzfdC6izvK7uOSA3/iQ/ds2PU4mhYhGIGAdeA3j+6VKR4Sp4Mjj8L5z7EqMI3RwXfIt1SQkH/BMV3a6BxChrGWD9ZuQlt0Hpp7Jx+0zEQmQqj8w356AcJx0bqPEaFPWRi+DKM1PtrRCIPYqLkPkj908iHHJEli+pw7kCWw7H6YSKTn0cCCIPRs577N5BsPEEydT3yc/uHXVfo7zHIIaRAMtBiMPJYRJBj05s1WV8/fYyVuNADJWjExiheDayixw69js3Q2W7XZuEbdjDNWr14Je3uu/tlU1kS+WU9ixMkNvTZwdnk3sD0wHNWUAIDq69ohY1D1nkJGKUILKUgp+kRQoyUOgMrqg9xieojR1gN4VStmKUSTdSJOixGzQ4+vqbGcSMdY+xHT72Cpdxp2qZU3PFegDfkO7RELgYovDuM7d2w2b/iYOEMbgdhJXf0p28oJtxYD4Ews7PYYSTHhjjjBX0e4Xf9eapOfYVvC3Zw2ciTXTu2oojM6aHDMYqJdb1jtiu+58ks4Moczdv5VYBVQKElShSRJNwG/As6WJGkfcFbH7wE+Ag4AxcDfgSMfdSMIgnAsKj+APb+hwVDIJ+7TePr62dxb/VOeiTzOqsTHSTU2YksYHu0oj54kwTkroOBWMuNsnH7WncQo+l0mKf3cY7p0bFI+Qyw1DN93A5Ggm6uLH2ZX3t/Y4cujrX4XRPzffBHhxNNUImtuxqtaKE2+JdrRCCcpZ/oUvMZMUpRa1n/5ROfxtTu28eLfb6W8XjScFoTeHNzyKgAFE79NckoeqtY1ccqe0P0DstAPXGO6vkwa2vMaSzJBzYRL0RtGOxJGgCQx7qpPGXvNYpBkrB0Nv7WOBM4fP93IbX95nQ0H9f6Km3ZvwaH4qJHyMUkhCHTvuxhpryROq6LZNpmISd8Z42npartr1LwEVH3QSWPSlSAr+nGrnhBSGpeTaarjwNBn2GK5CoC4nDP012YzA6BWfoLsPYBXNZOQkM0Kx908UnUjpslPYpj+IluMF5OtbsLn9x0am6oR6sckf0bl4wBYiu5Htmd2vP4KlHZ9aIkxtqDHx3mkBAyBWiRfFU2RWByF32HcvMd5+poJJDstnetc4+7q/FpUCPWPw5kydrWmaWmaphk1TcvUNO05TdMaNU07U9O0Ak3TztI0raljraZp2h2apuVrmjZG07T1x/8lCIIgfM0u/YPKT0tvZUpuAjOGJnL7nKE8vmMkv12roEgqmdlFUQ6y/0gZF+hNA60ZEDPi2K6VOA2r5GOYcTf/W3YrrrQJ3H3OcDYl/Ix4Kilb9CMWffwkldUH+yV2oZ/sfQalfgn1IRcTU0TlhnCcSBLWcxehahLja+/H466itq6MpHXz+a79b2xc/rdoRygIA1IgHCHV/TGVFOBIKMRptdAQjies6R/6E1KO7We30DNbsv5eL6gaiI3rvZLEq3SNLo/76v+FJHVuu5ZMLkKaATmoJ4SKqn/Cn2OuomBZLmu3b2DPHn1bWq1tNgC+1tKui/vrofxt9m7/DICsYXNRLR0NlJuKO5eZNC9b1Bm0Zt1K3ox7O49brfqWMadfn1BnTZ5I1vQH+JwbmDBZH/LtTNQTLEb3eqyBg9RE0pFkmQtnzMKb/0MuKNKTJq6887DKAXbtOLRK6Jcf7OTyv6zq4zt5+NSIynBpAyEsSBnz9femgOyrwhY4SKsaAyZXj491yW7y5O2YgtU0a72PkzdkXkS7IRM/diSTs1/iPtUN0iYagiAIPQg0ozWtpyEcxyb/aB68aBQAN80cwi0Zi3kh+z5UxYGUPDvKgfYjgxXGPwlFjxx7z5gh1xG+3McTsZuZctY9/Ovm05BliUvP+w6LvbPIrvszc5rvoWHRjf0Tu3DsNA3qFtFAFjnmasbk93znTRD6gxQzlKb0GzDJYb78/C+0f3IWaYZa3KqLuIa38YdOzAQbQRhM9pUdZJx1J97k+Z3HVsTci4ZEBAOJdmMUozt5JWfp/WnqIsnIBkOv64KWXAAimowhpoetZZKEW3VhDOmVPynaQVq0RGKUdr747O9kok+Pa3WdAUBbU5n+OE2l5sMLYdllmPf8H0HVyISiuUh2fftTsLWk8ynM+PDJCcTM+guSrWtylsWubwFP1/T+O/HJBWSmD+Hsa57HYbUBkJg+Dk0Dm28vsZFyGtGrcibmxPPYpWNQOqaNZg07CwBf1YrO66uqRnb5I9yp3E17INzXt/Ow1FTvxCSHabBOBEkGq/5aJF8FsZFyGui9CbQiS8QpbsyhGtrllF7XISvYp/0Ry5ifHHO8gk4khARBOHls+V8kNN5oPpd/3zqVken6uE6LUeH744OEXBOR52+DjjGjJ42CWyHvu/1yKYPJwv0XjuLyiZkYOhpv280GnLOe5aXI/XwWuYYiFtFWurBfnk84RpJE66RXafZLlMoTiInLiHZEwkkucfafKKGIi4K/JF0uZcfQl/FkfJtptg18snFntMMThAGnpeRjFEklJu/izmOXXnoPxgu3o4y8Bymml+1MwjFxxSZSFUqhkbQ+18nxeiVRs5YEiqnHNR4pHkukkXBEJVGpp86sj0s/x7mU8+PXocVNQInXt6j53HqFUNmqX5EaWIMnYiXPsI8qZRQWiw1TjN5XR2vv2jJmkXyoir3b89ocer+hBKWJpnAsVltM9/iNVgKaGUekmmSpCo+xl4lqrgyqw6lYWrs28OyurOba2Dc507mG3VX1rD/YxJ6atj6/X31prNF/BrRkdXSNUUz45ATMoRoSKafV0PtEvYgtB5MUJtVQR9CU2vcTZV0CY35+1HEKhxIJIUEQThpNNXozvdgxdzI0+dAy0vjpTxJ3wZKTLxl0gkwsHMb11/2S7DlPURVMJLjuBxAOAFDfFuAfq0tR1Z4bKQrH1+drllNgKcOad3m0QxFOBYoF+9nvsSwwl3W5rzBx6rdIH/tdjFKExt2vRzs6QRhwzA1f0hpxkJwz49ATMYUw7jExEfI4esf4AFvi7u5zjSNDrxoPKHG9rvHL8di0ZurdbhIMrfjso9EMDsbZixlt3oWUfTkxrixUTSLkqQDAsP8ZNvqLUKe9AkDyEH0KrD0+r+OiHXOX1AhW2Q9GR7fntVus+FS9R1C91nuSpFVKwiq1Y5EDhGw9T1QDqDSMJTOyDWqXoC25lMYtz2CSw8gSlJfv4rk3n+XF99/o9fHfJNCgvw9PyO2qxJdsmWSa6kgz1uEz9x6bMX4MkgRxhjY0q7i5dSKJhJAgCCeNencbxcE8rjh9WveTslEvXxWOyfDMVF4I3EVCcAfau9lQ+RFvv/MUrLuNFXsroh3eKallr/7mLW30NVGORDhVJCdlM+uGhcyaeSUAkmscPhxMD/+TQLiXbWOaCv4+RjILwslI08gNrmC3NglJEVvDTrTbr7mD71x0dZ9rLBn6RK8YR/fqm68EDQnESM001evbvIwx2UiJ0zEQ0hdkLSAxxkFD2AXeKgBS5SqyrG5i8i+DqS9gG/tjQK/UATB0bEHTwu36NQzdE0KKLOFR9a1hbjm92/mvtBrzOr+W+5haF4iZRIqhjubFNyBVvsOUlsc7z+3YtYYHk37NdcqjnU2mK5q9LN5Th9bL5LRu8bbuoD4cR1JCV0LHnDSemY7NGCQV1ZHX62NNyVM7vzY6RbPoE0l8OhIE4aTgbzlAobKNMudFGBXxT9vxNHvuzbzXPBspUAdL5nOL8jOuTfiY8nV/hEAjtO7RFwabex2/KvQiEjii5eUHVnOp5V/UmcaBvfdSbEE4rrQQktHJcMtBSja+0vOaHf8Hb6XC2lshdPRbEgRhMAk27yZJqaPJeRL1LjzZWJLAkY8z66xel0iWZOKVFqqq9V4+tthcyLtBP2kfAjHDSHCYqAklYAhU4fe1IksaYcWlV4DlfRdsev8ck02fMmYK65MZ/b5WAGRjzw2S21U9UeQ19p4k8TondH5tjhvW6zp7+nQA4iIlVASTMcsh2iS9gXN2YDkpxiZGWg5QvF+v9Hnhs8W89/avuP+l12htKtcT+32IDe6lQs1H+lrVmzTxd1RK+nRfY0wffQ4TJnV+aYsV72dOJPGpSRCEk0LttpcAMOf3fSdIOHazCpKoHPEMT1RfywF/OhsCEyhTJjBXfY7wR5Pgk4kQaILl34LFXU00iQT140InXzBCbatfT5x9cQasuv7wH+xvIHHN+fhVE9L0fxy3GAXhGxmsqNNfRZIgv/g2CB861hhNhd2/1b8ufhY2//TExygIUdBY/C4AhsxzoxyJ0KeLimHco72etsUXYFf8NJevBMCVmAuZFwISxE8EwKjINKqJWELVtDToI9bD5h6aIysmwpqCVdXfD/m87o7D3SuEAHzovYXClt4TQkqqnnCMaDKuxN6TLtlDZxLSFFojdmqnfklTzFyM0/5Kq5TMxXFLOte1Fv8bgFne3/Gb7N/yqOkaYj7JhhV9VCJrKmkcoNn0XwkpUyxbC/7NLypvxZExq/fH27qSQK6E3N7XCf1OJIQEQTgpWKvfYJO3kDHDx0c7lFPC9+eMZMYlv2XnpHXkXLESy/iHSDU2EfLWQrgd1twINZ9D6pmdj/Ft+Bmh94bBp9OgdlEUox847nlzEy89dyeRf7v0pFDtwm+8AwdQ1uhlw5e/wqo189vgUySljzoB0QpC72wZp1MXScGIH+oWH3qybikEGwnKTtS8G2H/853bKgThpKVp2MqeZ4cvj7zcsdGORjgGCVmTAcjxLwYgNn4IGOyQcQHEFXWua5VScaq1+Bq2A6BZe07iBLBipQ00FZ9PTwgZzD1XCPnRE0WKo+dm0QDJGfp7X3fETlp876PY42Ni+aD9At4KfY+Jw0cRf8FCLLmX4LMUEKO0E8LCvmAeSc0foGkao+T1tJHIJ84n+Nx9Gmr52xBs6fHaQfcBrLKfkGNkt3PnTRzFvMseZWRmfK+xYUlC60hNJCT1vrVM6H8iISQIwuDn3klyeBfrtXOJsYg9+ieCJElMz0/kgrHpJDrMJBfMZ2vqw3yv4klWtk+AinfBkgIFtwHQ5g9Rv/t1jKFGaFwNDauj/Aqir8btZ3zDo/wk5TnagyqB2lUQaICWbYcuVMOw4mpYeT1oGpqmcffr68iof4GlbeMZV3R6dF6AIPyXgzGXo2nQtu+1Q0/sfx4ViYVNI/nRjnloWhh2PRmdIAXhRKlbSmxwH0PN5eQ6g9GORjgGrjQ9ITTBtgOPakcydfQbOv09GH1/57p2Qxp2qRW1Wf85Lsf0nNhoUzJRJJWIpwL/VwkhU889jIKynhAyu3pPkiQmZuNVzezz5xJv63lS2lcmXf4vLrnq8UOO2ZJGAxCKncAe0zzypG3U1+4l0dCMUY5w5vk/4hNuQNaClGz5V4/XbazcAIApYUy3c7IsMS0/oc+4kGQkaxokzUaxfsNaoV+JhJAgCINeYO9zhDQFb9oV0Q7l1CVJjJ37AI9973oWt+nl06WG01hZ6iWiajz06kdkG/QRq61qLFrj+r6udkr4dNVirk94j/K4a7i54Xn8mgWA1oOfHLpw44+g9DU4+DLh/S/x/tZqMlvfI9XYRPbUe7lqsthrLwwMOdPvY5lnApHqhV39w9QIkbrlyGhUGifzUYmN9dq5sP/vejWhIJyk/Dt+T0hTcBtykS19VEYIA58plno1DaMUoVlL7nVZyKz3CTK3bdF/jR/e47pdafrI9IbqrQT9ekLIZI3tcW1Q1hNFzoShvT6vJMuURfJQDEZkue+pdVnxNlz/lTRyJutJHFv6DEyp+rau8i3/QpIgYBuGUZH56be/Q004hfJNL9Lg6d7v0FOnJ8Hi0oq6nTts9hyQlaN/vHBUREJIEITBSw1DJEio+GUWtU7mzPHd70oIJ1ZOgp348Xexsb2Q9LYP+cvrf+P7/9iAsf4LAIKyE29EwV+7NsqRRpeqauRW/JIQFrLm/JbX77oCddQDwH9VV7h3wd4/ssefg6pJeFfdyVsfvsCjmX9Gi5tA7tjLUb7hzZ8gnCgpSRmU28/BpVYSaNqpH5QVvjT/AIC5sy7lezOH8MT+2RD2QPnbUYxWEI6jSBBf/UZkVMw5F0U7GqEfNJn1rVDtSg99gTqYY/VtXVa/3nzamdxzciQhTX+/2lSzk5BfbypttvRcIeRWsikLpJAU3/vzArQlzEN1jetzTa9cHe+fk2ZSOEJPCGlVHwMgJ+mTe5NjrJjyvsU0+0Y+XL+z2yXCzTupCcUzNOMYRsbbMsBbefSPF46KSAgJgjA4aRp8XETkP6k4tAYq4r7F6Iye764IJ9ZNswspHvUGYWsev8p8hi92VnNtzh6wZWLIvRKX0oY1VAH+hmiHGjXFFaWcblvJwYSbwKLfbYwb831CmpGU0Fb8gY6mvE16CfbT9dcgSxo+OZ4/Dvk9Jmsc0unvgiR+jAsDy7Dx3wKgYu1TAERUjeaypQQ0M3nDZvL9M/LZpxVRp2bAgRejGKkgHEeKid/XX48iacTmXxztaIR+oMbqfaACprRe18Qm6Nu6HOFKNA0ssbk9rsvNKsCnmgk07yYc1KcuWnqpEFpruZHz9v2JREffW8EmX/Abplz23De9jJ4lzYK5n0PGBWSnplMRTmekQZ80Zs/s6gUZX3gVRilCxc63u42iN/v2UaXm4DAbji4GAGsG+CrFhNoTTLyTFARhcGrdDe6dlLQ72egdyfnn3hjtiIQORkXmyuljsE54mHRDJa+duYOR0mpIOxc5ZQ4WOaQv7Eh2nIpK9i4FIDH/a5NnjE7c8edikFR2rPobAO7qDQRUA5ljroK48aRI5TjlNgxzPugcYSsIA8mkkUW8034JQ5pehPoVLNpdx3BlKx77BJCNxFiMfGdaHv+oPwOt9ktoL412yILQ70IRlZGswi85IXFatMMR+oEjVR+Lrll7/9mbnJKPqkmYpQAR5F5v2sRYzVSEMzC2FxPpSAjZbD0nhOaNzeKG00djUI7jx3ZJgtSz9D4+kkSzeTQ2Rd8WJid8bVhLwhT8Uhyz5PfZtW9T13FNI1krwWPufVvbYbFl6FuJQ63Hdh3hiIiEkCAIg1KoUu+z8njgKWIJrN2oAAAgAElEQVQuWkNqXM+ltkIUZS8Aawan1d+HhAoj7oHUM4mg3z1qq14T5QCjx1uzDoCk7EM/KMTP+C0hzYC7bDEAnpqNFAeyufq0oVDwfX3R5D9DvJimJwxMkiThHvYQVaEk/Ctv491V6xhrK8aVN69zzYVFabzfPBsJDao+imK0gtA/6tr8THrkC5burQf0oQHTHZupt88C+RgqJoQBIzNvJioK+Xm9//zNTYqlPhwHQAhzn9drVnKJjRxEDekJIbvD1eO66fmJ/PjcwqOM+uiYE/VekEFMYE3vOiEryJnnM8u5Gc/2ZzoPtzSV4ZDbkWNHHNsTD/kuXHQADI5ju45wRERCSBCEwcdbSXD3XykNpHLNnNkMTRY/OAYk2QjD7tC/nvQ0xBSCNZWG7LsACJR9EMXgokfTNBzerTSSAeZDG43KMUMpMc9llLaUWrcXm28n5WoB2Qk2yL8ZLiyGvO9GJ3BBOEwXTx7O3xquxNK+jdN9vwNAybm88/zQZCemuEIa1BSoWRitMAWh33y0tZoGT4BPd9QAUNXYRKapvnObkTD4SY5s5At24iy8rtc18XYTNWF9G3gQW5/XC1rzSZGrkIItBFUDVrO1X+M9FplD9GqoVkOeXj30Naaci5EkcASLO4+VH9SrhVypx/jn3ZIIjiGisfQJJhJCgiAMPlWfYPfvYauvkNOGiNGUA9qIn8C89TDk+s5DiVMexKuaifVtOSX3iRfXeRhm3IvX0fMbJ9ewK0kxNrFk0QvESQ0Q19HsUZLAmX8CIxWEo+OymYgb+R38qpnL4xcScRRC7MhD1swfm86iljGoNYtAU6MUqSD0j4+2VTPRtpN1JXUAuOv3AGCNHxbNsIT+FjOsz4ovSZLwKKkABOS++1oaXYUYpQhW7y58mgVJGjgDImzpswFwDTmn+8nUc9A0cEXKOg+11OhT1bJyJ5yQ+IT+JRJCgiAMPhX6ZJp91vOwmsRdhAFNViB+4iF3mBSTjW3abNTBmgtSI1D5EdSvOqqHb95/kBxzDY7U03o8nzx8AWGMTG5+VP991pSjDlUQouWu8ydjyb8KOLQ66Cvnj0ljuacIOdQEzZtPdHiC0G9q3T7m+H/Lf4b+hLN5iQZPAH+zPmXKlXxit/oI0RfqaDodNPR9wzI2ZRQAGdpOfNrAqQ4C9Eqd6f/EMPLu7udMsURQMGuezkMR9y68qpXY+NwTF6PQb0RCSBCEQUetX42qQWzuud+8WBiQPM5JmKUggfba/rmgrwYi/u7HA02w5CIofhZath/780QCcOA5WPs92PHoUV3CUqmPlXeljOx5gclFZOxjDDFXA1A4fMZRPY8gRN2wO8GcCLnf7nZqaLKDelvHn+0DL53gwASh/+xf/TtuS36TkGTj6vhPWF9SD579AJhiRYXQqcZoSwQg3Mc0MoD0LH1EfLziJvAN28uiIvcasGf3eCqCERNd77liQwep0XK6bS8TBgeREBIEYXAJNCGHGqkMJTO1cEi0oxGOkjOhAICKil3HfrH2cni/APY+3f2cyQXNW2HTPbBwDoQ83dccidJXYe2ttAU0tKqPwVt1xJfI8X0KgJQwudc15lF348n6Hu3WUdhj03tdJwgDWsIkWFAPvTQanTmqkKBqQNv3F/A3nODgjoKmQe0iUEPRjkQYQFIb/sXe4FCk054l01RPY/EHmP0HadfsYBbb2k81DrveHFqzZfW5LsaVijviBBiYCaE+hCUzRgKdv7fSilfquSm2MPCJhJAgCINLx0SaLaHJjEwTk8UGq9T04QDU1+w56mus2t/I0y8+xsE3Z9EeMwW2P9LDh0qJiNEFoRYY9QAYj60BubdqBQHNiCVSh4SKWvLyET1e0zQy2UcYIzhye18oSThm/R37JduOKV5BGMjmjc3m5cbzkbQgLD6PvbuX0e4fwMmW+hWwcC4HP/wWn2yrjnY0wgCgtZeTJ21nn3kehpwFuLU4cpr/SWykjCYpU1RMnIIyMvSqsJicM75xbR25AISlwZYQsmKUwp2/N+MlLNujGJFwLERCSBCEQSWw/18AeDKuHVAN+IQjk96REGpvKu7x/ObyFub/YRnFdW09ng+EI3z/lTVcLP2JXGMpL+3LRAu1wfaHuxZpGt5196C49WaH7b7WXuOpbyhn70vDWLL4n33G3V69krWeUWyyXIuqgW/Xn4+oMXZtcxsupRWPsecy7G7En3HhJJaX5OBLw62EVAWtaQPDNs7G8B8n2oprBmaj6fqlAOS2vU3bku/w2cZ+2IYqDGrNe/4NQCTzUlBMVMVdzhTTaoYoxXiMOVGOToiGxGGXwrwNJAyZ941r2815AITkQZYQku0okkoopCfwzfhRB9lrELqIhJAgCIOKVr+SkKYwedL50Q5FOAYGaxxtqhPNc7DbOU3TeOT9LaR7PuPZ999Fa94KrYdWEi3d28AM8zKyjFWoso3THet4s/kc1H1/Bb8+5YWyN7AVP8UrjeezwTsS97Y/E/T3nGAq2fgyw4z7GFt2G4s2rO856LCX+OAeKpUxTDz7QUDCHixDazj85tINe99CliDgmnbYjxGEk9ld86fybssZeCMmflF1Ox+0TEcqfRWOsPruRGgv+4K2iJXl6oVcFvclZ+wcT9XLqWxZ/Uq0QxOiJFz2Fnv92RQW6FuAs8ffhEkOk2JsImLLi3J0QlQY7BA/4bAqkqUYvel4ZJBV10QUvUK/ra0eAIvkQ1VEQmiwEgkhQRAGj5ZtWDQ3m0OTyU8W28UGO7ecgSVY3u347qW/5nb5x/w99xF+Zb0O6eMi+Ggs+Os713y4tYrbU95CcxQgFz3MKPMu7FYzshakbfszAIQOvEJ1KInV8Q+ijXmYFKWGyk+/3b2ix1dNXN2b1ISTMCsRxu88E3XdD7r1CfFUr0WRIphSpqHEDKHSoY9erd7wx8N+zebqtwCwD73qsB8jCCezybnx1KTexJvNZ3H2vNt5IfILtvlHoG76KQTd0Q6vi6ZialmNU/Exctbd+M/eyC7XzTgkD/6SN6MdnRANkQAm735WeydS4P8QAHvqFOrQK4MMsUOjGZ0wCDiS9P5qquKMciRHRjXq/YI8bfVomoZVDqAZBldSS+giEkKCIAxMnoOw/MpDkgANW/9GUDVQnNdD82Bh0Albs0mWa6hrO3Q6mLXsWWY5NxNJOp2nPD/n4aqbQQ2ilb8NgD8UofrAUkZb9iIN/wHkfReMMZxveRefakLd+wwEm5GqP+cT91RuO2MYE6dcxmuBmxnS/j7e7b+HsA+aNgIQ2fxzhkqb2W2+gG0Fb7DGMxJ53x+g8kOIBPX/gLJ9iwDIK5wDQOqMR9kTGkZMwweoIV/fLzbUSnD9T0jxrUDTwJF9dj9+JwVhcLv10m8x9cpXmTl6FI9dVsSDlTciB+qg/K1oh9bFvQuj5sOrWonPmok9uYiiC56hQhpJbHBftKMTokEx83zrtVwR9wnympsg0AiShJqtJ/xT0kdFOUBhoEvJHKt/MciSKVpHs3RfaxWBUKgjIXRsPRqF6BEJIUEQBh5fHSy5EKo/g1BH3xc1hKXyVRZ7pjBv4pjoxif0C1v8UDJNtSzb05X083kayJb3Y5TCKOMf544bfo5vyJ2UBNKo36n391m8p44FMR8QkW0w5Dp9isslFXBFK+85/kAs9TR+dC4GAjS45jM6IxZJkiic8ygLWydj2HIPzW8XwScT9YlBpa8iSWDK/zYTJ87j4eaHaNNiofQ12PUEfDgKAo2EaldSGUphdL7eMNKYOJHG/AdxyB4qPrka3Lu7XpymQUtXQ+idS5/AtPcJYmjCTQIophPzTRaEQcCoyBSm6nfIx2a6GFs0j8ZwDC2lC3t/0OobYeFc2PTTEzL1K1S9GIBS0zSQlc7jftswMuWDBELhXh4pnKzcHg93On5Ps2kEnLepc6JY6qQfQeFdxB1GU2Hh1OZIGEFEMjMse3BNzZUtyQCEPOW0e/X36fIgS2oJXURCSBCEgSXkgQ+Hg3s7TH0BnPn64R1P4dAa2RtzNXF28WH6ZJCUMgybHGD59h2dx/bv+ARZglZbESROwWJUeOTSMWxTZ5LoWUrrgQ/5YuseLnItQ8r9Nhg7tg4anWB0cv65N/CJbz4J3nU0hWO44MwrOq89aUgCWef/mzbiwVeLaoyDZQtQ1Hb2+zMZM2oWBkVmweRcPm6ehFb2b9j+S3AW4FcNFESWUWaaiUHp+tE5dfqVfBC4giT3J6ifnqaPuPdWwqJ5aJ+extMffMHP3tqCvew59oZHsjnmNrxFh7/FTBBORf9z5jDWtY9Cql/S65omNRF/eyPsehzqel/XX9r2/weASNah2z2NcaNxKD5Kyvce9xiEgWXvvtWY5DBtObdDzLCuE5ZkmPgbUCzRC04YHAxWlHlriCn6YbQjOSIGWyoAansV/o6BHdIxTnEVokckhARBGDjC7fDZVLRgs/77umX6r54S2PYQn7qnMnnq1dGLT+hXUuI0NCQuCvycVm87AGqZ3ovDXPi9znWKLDF2xk3IElSveghr9TtY5ABywS3drum0mphy5WusDM5lg/U7jMiIP+T8sOxc2uasYe7ev7JGvhSCzYQ1hT8qz+G06onGG2fksp7zkNDQ1ADamAfZs/4VbHIA67DrD7meoigUXfwiF5X8naagGe3zmfBuDlr9Ml4N/YAXVtdCycvkmKvJmHov4y54hvTR4s+wIPQlzm6iRJ5EbKQC2rv3GQN4dGMWv947HRUFavqoJOonJf5kwppM3tjLDjmekF4EQPPB4x+DMLA0la0GIHvozChHIgxqcUVdN7cGCXNMJgCSv7pzWIdsFBVCg5VICAmCMHA0rAL3Dh5u+CkvNFwIe35LaN1d+D8/h0BEYmPSQ5yWlxDtKIX+kjiFsvynmONcR82yewBI9+s9dsxDrjxkaW7hOQSxMUTbxNmOpfjNuRA/scfLxjsdTP/uQs6+oudKnNyMXGaNKuTu7ecQwso/GuYxb+LYzvMum4kfX3srjZE4JODZd/6FVvIPqkIpjC46r9v1suJt/HTBOVy3/0G2+ofTmHgZz4Z+TlltDWtH3sCjab9Bs6Rgz7+y22MFQehF0mwAwjWLu52qamrlJ84H+UX6X5CJECx957iHo/grKY/kYrMf+jMoJWsCAONr7jvuMQgDi9SyEY/qwBo37JsXC8JJxBKTDYAcqMffkRAymgZXY2yhi0gICYIwcLRsB+C92jHsTfsFrzWdg3Hf7wi3V3N3/f9xxwVzohyg0N+yJv+Qz9vPIKPhHzQ3lJAgN9CmpOkl918nSciZ8zHJYWY7N2HKuxIk6aif9+5zhuGV4pix8y/8ufU25g4/9PmSXQ5ivlVJg2UiN1ifZpxhDfvtF2MwGHq83lkjU7jtkku4fM+DtFcs5Wb5Pu5NexEl6yKY9RbS2ctBMR91vIJwqsnOn4pPNeHd/fdu5w5seY0UYxMHch5jadsEjO17INDU9wUjQWhYe3j9hnw13Q7FRipxy5ndjivWZPyqGQvt4G/45msLJ4VQRCUlvJN644hj+lkkCIORwZai/xpuJOzXt4wpZpEQGqxEQkgQhBPLWwkfFUHdcvBWwPr/BxF9ypTavJWmiIus9Fweu3wCm1Ie5/bSe7l435NcNf9qYizGKAcv9DdZlqhIvB671Ibhi+lIEgQzeq6kMYx9iK8GxsvZV/S45nDlJNh5/ruT8cjJLJicj8nQ/ceh0WQl8Yy/ERpyE6tsd1B4xgN9XvOionRW3XcmuwpeYP/I12HuQpj5BmRdCk4xflgQjsSUvCT8qhm7e5XepP1r4qpfoi6cyJCpP2at/XYkNELVX/Z+sZJX4K0k+Ow02PfnQ8+pYf3n0lfqV8HbaVD6euchTVVJVqrxm7O7X1uSaFH0RJHm3n7Er1MYnHZVNVFoLkF1jY92KIJw4pn0sfOmiJtQ0AOA0Sx6CA1WIiEkCMKJVfYmtGyFpZfA56fDgZegvRSAtppN7PTmcPsZ+UiSxL3nj2CjdhZTimYwpzD5Gy4sDFajx13IPn8WTrWGJYG5JE66t+eFrhFI5mSQDBA34Zifd0J2HGv+90x+fE5h74viJ2Cd/lemXfI0yYndqwP+W6LDzLkzzyN/3JWQOlfcORaEo5TkNLMpOAmFMFS+33k84t7LCG0Vm00LkBQjkybNwxOxUr37vR6vU7PvEyKrbmSXL5eINRuqPjrkfHD3n+CdTPjybPAchFJ9miHr74SQvhWiubkKu+xHcvQ8CchjHa3/WrPpGF+1MFjs3bsOixwkIWtqtEMRhBPP2JEQUtsIBfR/J03mwdUHSegiEkKCIBwfmqaPBd764KHHK98DUyIEG6H9AAy9BWIKQVOx+HZTFsljTsf2nTi7iSU/OYPHLh194uMXTpiJOfG80Ho9S9omUDb0abCm9r549ltw1jKQ++fHl9NiRJZF0kYQBqLylFsBCO36feex6uX3EtBMyAW3ATBrWDrr/RNwNH52aCWRphHY+yzONZdxMJDGt4sf4KPm09Bql3RWpQIc2LOEtoiVUO1K2PxTtLL/oAFaoBF2/gqA+lp9gpjZld9jnFLidAB81Sv77bULA5u7YgUArgyREBJOQQY7mgYmPKghvULIbBFbxgYrkRASBOGYFW96lW2vTOXlL1fR4Angbm1g28KHUL1VcOA50FR9YbAF6pbC0Jtgyl8hdgzs/g3Ur8LTuAczfmzJ4zB+bay32aAgiSqLk5osS5jzr+KW8ke4YELPH7g6Jc2AJPEGXBBOBRPHn4tPNSE1rAA1grduE+kt7/CBfwFzxuuN4BVZoiXubOKlWvwNW7oeXP0Z5vU3s82bT+vUD3jsypm8VTMSSfVD/fLOZRbfXjZ7C3m29ny0sjfAX0OxP5O17WNo3q9XE3ka9YRQbFJBj3HGZ08DwNQqKoROBcGwSrx3De3EQczwaIcjCCeeJBHBgBk/aseWMYtVVAgNViIhJAjCsdv1JEOlTcyvmMfCly5j97/PYUzdQ1S0BPQ+QfX6nbRA6dughXmuZBS3r5nIHw0volrS0dbfyfK1XwBQOHx6NF+JECX3nFvIxz+YRZzdFO1QBEEYIEZlxLI7OByDFoDGtRxY8Su8qoWCMx5G+VplX8bIBQDUbvwDrPwOtO1HPfgvIprMy5F7GTd8DPNGpzJkxPmEVJm2jY/oD9Q0ktQSvJYCNpi/TUSTkICVylVUaAVYfbtBUwm2HAAgKbXnD/+utImoGtjD5aBpaIEW6jf/SW9kLZx0tlS0MMm6jbaYaWJbsHDKCktmjATQwnpCyGqNjXJEwtESCSFBEI6J1rKboWzEKKtYUqfzrbiPOM22iZJwPqm+5WiKFXY/RfCj0zCvu5GqYCK/2xTP7uo2frO4mh/uvRapeSOTG+5H1SSGF4rqj1ORzWQgL0k0JBQEoYskSdTHXwqAd/+/SfIsZYc6mXFDD60kHFc4kl3+oeQ0vgAHX4GD/yBQ9SWKpLJgUl5nlekPzxtPqxqDs2UJbPoJwbYy7LIXYkfw2LXzKAtlEdZkzr7gAYgbg0Xyo7XtR/YepCXixOGI7zlOo41mLREjQfBVseOLe0naeScln33v+H6DhKjYumcrWaZaYnLmRjsUQYiasGTBJAVRQ+0AmMSWsUGr5/m5giAIh6l99f/gAHYk3kPROY9BzZfgr6OydTipW6ei4sBS8S6+iJM/Nt7E5DNuZ9N14zAoMrtrWnl/cx4L2zyMceyA9LFIRpEUEARBEHQ5k29n36fPkVD6LilKDbtct3ZbY1RkdtsWEBd4jiSHEaV+NZZgJT7VxMxxkzvXxViMLEp9hDkNd8KuJ2j3tGMC7ImjSXZaMEx7nIbWg6QnxGBKKIIaaK3ZhDVYTr2WjquPOBsMhSSoDWhVn5LV/Cpu1c6Q5ldo3DKNhKLb+v8bI0RNsHoxmMCWeWa0QxGEqIkoThStEclfQ1A1YpJFWmGwEhVCgiAcvVA79qYvcIftJE/5X/1Y6lzIvYrpo4v4q+f/YYnU0yqnceG+p5h18ePMHjcBQ0ePoOGpMdwzbwRnXvE0yRctQp70+z6eTBAEQTjVDEtPYkdkEvGREgBShs3vcV3R3J8xp/hlVnjGoTWuQUKjhqGYjYd+SJk8+2Z2+4egIhNT8SwASZn66PD4witJnfwTABLSx6NqEu7qjcRplbQpGX3G2RJzhv7F2puJlVtZmPg0a71jsWz7CSFPZZ+PFQaXnPAGvJpD74MoCKcozaBvEbOHDuLTLFGORjgWIiEkCMLRa1iBhMZrvutIcx1a2SPLEjPm3ceTNdcih1qYkediypCey+0FQRAEoSeSJKGk6VtzakKJDBs6scd1eclOHrxoFF/UZSOFmgFojzu92zqHxcRm1w+RUVG0IC1hBznpud3W5aenUBpMRWpcTbJcQ9CS02ectjS9sbRXNbE/kM35Z11Le9HTGAhQ+v/Zu88wuc7C7OP/M2170+5KK2nVJUvusi133I0bxoWAKcaBhJJikpgekryENxAIoQVCeQMx4FAMxIAx1QXbYBv3JstNva3aarW9zc7MeT+MXIQk29KWMzP7/33RlOecc08uh2v2nuc8z6+vhHvfDr1rDuCTq1C1xtawNX4oxOJRR5GiU94EQGPYxlBYEXEYjYaFkKSDltlwA33ZCnbNeNc+3z9+7hS65n2Q81d9hbece94Ep5MklYLDl74WgHXJk4nH9//V9Ypls6ie8cI6dC0Lz93nuFPPeAcf2fIBADbn5lCe2vtWh6k1ZaxOz2fW0O9IBhnisy5/yYyLlpzGLcG7+EbwedYc+WPKUwnOOv40nkhcyMKR38G668g++58v+1lV2MIwpDboJp1ojjqKFKl4VSsAM5LbSeMMoWJmISTp4OSy5Db+lDt6l3HyIa37HfZ/Lz2S7/3tFRzZ6u4DkqQDN791Ljc3fJkpJ37iJccFQcBfXPI6MmH+623TnNP2OW5WYxUXvPaDPDqwmE3JE/d7rl3JxQBc23Ulxxy371vVnlNeUct5b/4611z5V5y3bNnzrx+z5CiyxOnPltOz6n8hDF/yPCpsvcMZGuLd5FKNUUeRIhVb+q8AJIMs6aAy4jQaDQshSQduy6/hlpNIZXZyS+9pnDhv/1+M4rGAuU1VExhOklRqzr/wahYvOOplx9XV1BLWHUGmYg6U738WxxmLp5I+624Ov2D/s3bW1l7BJ7f+GZ3zP/z82ncHKn70vxA//stUxYdoCLdw6x9uOajzKELrfwCDWwHo7O2nLtFPUOYMIU1uVTUtZHeX7xZCxc1CSNK+PXwN3HIK9Kzc8/XeNXD3G2Ckm//qvZrOxtdQkfI+eklSYUgu+wKJE776suNOXNDE7Mb9/yHT2rqEaztezxuOn3fwYYIAFryL3MK/IhcGrH30OwykMwd/Pk2s4V3wwDvJ3LiA+69/Hb2dmwFIVFoIaZKLxenO5Wf/ZwLXECpmFkKS9pYdhjXXws574ZeHwY+qYcUnYLgD7r2KMEhw16zr+dS6C3nVomlRp5Uk6QUtZ8PMi0Z9mjcum8Wt7z2deaOd5RqLEzvhq/TXncIl1b/hx/c9NepsmiBlU0i/+mH6MwlOyP2U7u5tAKSqpkYcTIpeL/nNYrIxZwgVMwshqZTkRmDbb6Hn2dGdZ/udkOlj66LP85OhKxkoXwIrPg4/P4Sw4wE+3/1+rvrBNmrKE1xweMuYRJckqZCkEjHmN1e//MBXqOakzzEt2UnV0/9IOpMbs/NqfN28Ok1V0E8QQMe2pwGoqPbHMGkgll8yImchVNQshKRSkksT3nE+maf/Y3TnabuJMF7JBx85ho+svJSOzi35cyeq+WzsB/zn6mP518uP4P5/OMf1gSRJeiWaTmTT1Hfxuppf8Mjyu6JOMya6BtJ86ber6B4ciTrKgRvugMzgyw7b8Mh1JGL5Ai/sfByA6loLISmdyM+UC+P+LVDMLISkEtLZvoYgzJJe+6ODP0kYQttN7Kw+g7vX9XPVqUv4Vd+rebh/Cb29HVz3eMjfnrOIK0+cQ+U+tuqVJEn7Nv2kj5ILA3pW/YidT17Hhp9dTPbxj+bLiSL06d88w+dvXcmXb18VdZRX5pkvwl1vgGwabj4Bbj01P7t6P7oHRjg59ks6yO+mWj+cv92vssbZ0VKuPF+MhgkLoWJmISRFqLM/TTiGW9Cuf+DLAFSGu2Bo58GdZN11MLCZb286jrmNlXz4wiVc8fZv8NTMT/Gb4C/5+ttO4r3nLhqzzJIkTRapmhmsD45k1sAt/OTe5eR2PUL8yY8z8OSX93tM33CGHb1DE5jylVnR1s3jT/yOb83/BL958GG2dr/8bJuodTz5Tdh0A8v/97XQtxY6H4Un/22/49e0beS4qmfobr4YgAXJNQAE5U0TklcqZLGK3TPlLISKmoWQFJFt3UOc8qlbuOmxtjE5Xy6TZnbPDS8833LzSx/Q9QTk/mink533w4NX01l9Cl9bfzzvOXsRyXiMhqoUV110GVe89bOcsngWQRCMSWZJkiaboakXc2jZam7e0sK68vPIhDF6Vv1w74EjvXDPW/jW9Z/hVf92B1/81f0MjWT3e9677vwmN//2+pccM1Ye3tDJ567/Ln/T8lPOqr6P6+e+n/W3/MW4X3dUskPUDeVn+ByVu4XNuQWEs98IT34c0l37PKRr890A1My9iGwYozW1g4FcBcTLJyy2VKiSVdMBCBJjt9aaJp6FkBSR5U8/wC0L38mOZ28ck/M9+fD1NMY7+UPuAgD6Vl2//8GrvwG/Ogru+pP8jmLPuecthNkBPtb2bmY0VHPp0hljkk2SJOXNPvrNAPx44Yc4i+/RGU6jZmQ9uWwWwpC+219P//LPw4NXw4br+ZvUP3Db4r/k77pO4j+u/RfW7ezf65x3Pr2Zozf9Lcdu/mte8/nfsGnXwLjlH0hn+Itv/o7PTPtnzq+9F4I4dckR7tlWP6aznv17+VwAACAASURBVMdc52Mkggyrg+MA+PfNl3P74Nn5W8b61uzzkNjO+8iGMZrmnEFXmF9At4/6CYssFbLK2vzfCbGUM4SKmYWQFJH7NqZpSe7k7OEvjM0JV/0XOzKNzDjtMwCUdd4N4T52MWn/Azz0HkaqDoG2m+CeN+fXDdp6K/SvZWPuEH62oYm/OXshybj/EyFJ0liqbj6CbfWX0jP9zQSXrGHjzA9RFRvkyWfuY2D9TVRv+zHh8v8D67/DPeGl/KDrNcycOoPeisN4T/Vned83f0Jb1wu3Z+3oHeLHv/wWtfF+mpNd3Nx6KfW/amFo9ffHJX9HX5o31f2YpngHsXNvg0VXUxEb5L+3nMGz23vH5ZpjYWjbHwBoDrYRXric/pY38MV7d68f1Ld+n8dMGXyUjdl5BKlaemL522MGg4aJiCsVvFkzFwCwuHVmxEk0Gv61J0VkWscPSQZZFiTX0rlhdLuN7Nj6FIcH97Gy+k3MmXUYPdkqynLdsO22vQff+6eEuSynPvSPfK79XbD5p/DI+8nd+6cAfGj9O/m/lxzOFctmjSqTJEnat5aLbqT2rO9D1WwOPSo/s3fVil/T99A/MpRLUR0bYNXwXJaFv2Tm9AXEL7iXmvN+RUUqyccaP8k7vvWH57eu/8xvnuWsyt+RTdTBlOOJBQEVQT+7HvnMuGTv6e/lL5p/zI7a86H5VGh9LYlwmFfVPM6dz7aPyzXHwsDWexkJ4wxXH0HQcCT//vqj6U3m/5Ad6Vm79wFhjnnBCranlgIwnMzPhhiOWwhJAPGGo+CEb1A5/3VRR9EoWAhJEWjb1cNrK25kmPw96LnH/n5U59tw3xfIETDvxGsIYjHWBseSDWNkV/6/PQf2rYO+NXTkmsiVTef+8rdza8/J8OwXCAd3sHZ4Bm+/9K287ZS5rhMkSdIEqJyymD6mcG76C0wdeZLvZt7PYLyZRWXrySYaOPHVH8kPrJpD/ISvcXTFM3ys6hpuXrGVxzd1cdMja7mo/n7isy+HU68nNuf1DITVJNLbxyXvUM8WauKD9DVdlH+h+XRI1vLGlge545kd43LNsZDqeoA4WZKNRwHQWF3Gx/7kVLozVaxY+fhe47u3P0FNvJ+huhMACCvyhVAm2ThxoaVCFgSw8J0uKl3kLISkCGxe/n1mpHaydclXGMqlaOi/F0Z6Dupcwx0rOKL/uzyaO4OZMxcCULHoKpYPLMzfEnbHhfDYP+QXkH4q/2vh93acxV+duZDPvWEpH9z8Pj6z6xp+2nkmG6e/lwuPnD5mn1OSJL2MIKBy3mXE4mV8Yss7OeK091Kx+B1AQOWZ15OqftEW53PeRFh/DCdVr6Dv4Y/x7zfewfUL/5ly+mDuVVCzAE69nuWJ11JNJ2Fu7BeYHurPzwJKVe4uRuIpmPMmziy/gzWbN0zIotYHbGgn1SMbiQVQM+3o518+45Bm+hIz6Wxfxao/ut2tc82vAKiccSoAyZrZAIQpCyFJpcNCSJPT9jvpaV/JPasPcmv2UQjDkNqNX2XzyHRmH/Wn3DHyWmKEsOlnew/uXc3WbWv5z+98iSc2bNn7/XQnA3e8gf5cGSz70vMvLz7xXTw866u0j9TRsX0lPPUpuOMCWP8/ANyWfg1XnjibWVMqOW/pIr6y+Vx+1/hZzjj//eP1sSVJ0n7ETvoG1W/eyd9c/VVOWtAMR30cLn4WWs7Zc2AQEJxxEzkCrij/Jl+vfwtHV66GU74PLWc/Pyw55TAqY0Ns3bp6z+PDEJb/c349wYOUHuwAoLzqRVuvH/Iekgzz+vqb6RkaOehzj4fVv/84W3+8jBvSfw5AouHIPd5vmraQk6oeZ939L3yPIszR0PYNHhtYxOw5xwJQ1zgXgLKqaROSW5ImgoWQJp8whHvezLO3vY+rrr2f7oGJ/eJy74O/4dDEE+yY/m5iiQRrZn+Szelmhtf9YO/Bj7yf+tuP5m/if0fL747g4Tu/SJjLrxmQ2XEvIzcdTs3wKr48+FGWLTl8j0P/7Lyz+WLNHRz32Jf42uDfk93+e8j0s254OicecSzlyTgAHzx/Cdecu4h/e92R3iYmSVIUghgEMeoqkvnnsQTULtr32KpW0rPfTowcW1LLiL/mcZj75j2GNM08BoDNGx7e4/Xsuuthxb8wcNefHXTUzOAuACprml94sf5IdlSewlWNv2SggAqh7atvZd6mjzE92MAJ4S/JhnGoXbzHmLK6hVQEw1QOvag82/Ib6jLruGnwClrqKwBonpqfhT2/dc6E5Zek8WYhpMlnYDMMbeMXbbPJhbByx8TtiNHRN0zf45+jP1fJUadfA8A5h7Xwq+5Xkdh+K6Q7X5SzjbDt56TCAZ4NTqIjnMlxW67hru9eTCaTZc3tf09X/yCXrf4cZ5z51r3KnHgs4JOXH8nHLz2c/+08n8tXfZp12UV8ZccbueyYF3YDaK4p45pzD6GqLDEh/zeQJEmjU37cJyFRwaIlp++zOGqdm99avXf78hdeTHczfN9fAxAbWM/G9u6DunZuOP9dpaKyaY/Xd9a/hpmpdob7th3UecfD8H1/xeaRFnYFM5hdtp2u+ByIl+05qHoeQQDlmRdyh89+ie2ZRgZbLn9hXN3hUL2QWNPxE5ReksafhZAmn477AXh8IP8F6tltE1MI9Q1neP+3f85ZlXfSN/NPSZTXA7CkpYZ7Rs4nzgis+q8XDlj7LQJCBnLlNL76hyy68lEeqvhzTk/8mnUr76A18xDl8Sxf+eu3c9biqfu8ZhAEXHXyXG573xk0z3kVZz35BR5LXsbhM2on4iNLkqTxUNFCcP79+VvL9qGsaipduQZivU89/9rT9/0/KsJuMsQpj6X52o+/RxiGB37tdH6GUFA2ZY+Xg/L8jKHMUGHsNJYZ7qc1WMuGmsuoPyx/u1h581F7D6yaC0B1bnch1L8Rtt3C9R3ncdKiF63fVDYFLlkFU44b5+SSNHEshDTprHvmdoZzCY44/AyqyxKs3D4xhdCNj7ZxevY7xIOAaSd85PnXgyBg1sJTuKtvGeEzn4fMAOx6mMyzXyMTxlhVfiFNTbOJJxLMOu1fSecS9D/1dapiA6RT05nTXPey147FAj53xdEsnVXPX56xwFvDJEkqdvVH5m8124/OxALq06vpHhghDEP+z/LjGAgriM16HTlitAzexZr2vgO+bGyki0wY32tnoXh5viAaGeg44HOOh62bHiEWhKQajyI2760AVE09du+B1XMBqAl35157HQEhN+w6l5Pnu4C0pNLmPSKaVFbv6GPXhruorajjY9M+R1PrAu7dduGEXPuJtWv4WOMtBHPfAlWz93jv/MNb+I/lV3Ba9YfgxlZIdxKSIhnkmHvEC9OVpzW18IfhZZwY3AABDE5/3Su+fn1lihuvPnWsPo4kSSpgtdOPZ/qma7n+Dw9ySt1KPlr+r1TFBmHhO0n3buSMgUe47ekdLJxac0DnTWS76Atqqf+jH5cSFflbyLJDu8bsM4xGR9ujzAKmzDw2v27Q2bfBlH0UQs/NEKIbwhzp1d/kyeFjSdXPZ2pt+YRmlqSJ5gwhTSq/Wb6JIyuepTHWQaLtp1xT9XHad246uCnTByAMQ+bvuo6K2BDBYR/a6/1XLWwiMe1VfL/rMtLN59B/1H/yzZ2XkSNgyvw9C6uN1RcRD/J5mw9/+7jmliRJxanx2PeRCLIcuv49LFj5TqoTaUaWfh5aXk1qzmUsrVzJumd/d8DnTWW7GWDvW89Tuwsh0oUxQ2hk13KGc0lmz959m1jLOZBq2Htgqp4RklTEBtmx6UFSg+v5ceeZfOC8xXuPlaQSYyGkSWXT2vupiI1AkICTvwPAbJ5iZ196XK+7bns7b6i9kbbKc6D+8L3eD4KAj11yOP+06Z38c8dH+ca28ziu4gnStcfm71l/kbI5lzOcSzISJilr2M8OJJIkaXKrWUjHtKs4qfJR2rNNbDvhNpKHvReCAA75awaDOi4Kv0Jn/4F9ByoPuxkK9i6Eyp7bhn64c6/3olAx8BQbs3MoLyt72bGDQQOpYIT2LU8CcMW5F3HRkdPHO6IkRc5CSJNG78Agbwg+TQjQeilMP4+QgKMqVo/POkL9G2FXfrvXjuX/xZRED7HDP7zf4YdOr+Wdp83n+gc28v27lnNM5UrKZ12w17hjFs7j0YHF7Igvecm1AyRJ0uQ27dRP0d98Ec0X/IxTDnvRj0jJWjrnvp8zah5hxeO/2v8JMv2Q3nM3sgp6GInvvX5hRdUUMmGM2Ehh3DI2NbeaXYlX9sPZYCK/OUdu16MANDQvGLdcklRI/GtSk8bW+/+VZVXPEAAc+gFI1pCtXsyRlatYvvngtl7dn+7l/0n6xkMY/vUppAd2Mbf9v3hi6FBaFpzzkse9/7xDWNJSw9BIli1zPwqz37DXmDmNlRxdu5W66ceMaWZJklRiKlqoevUvSUw9ca+3ph33PvpzFZRv+s6+jx3pIfvrE8jcvuet69VBLyOJ+r0vlUrQna0mnukak+ijMdjXwdR4OyPVh72i8cOpVgDKex5lKJdiSsPM8YwnSQXDQkiTRmL7rawYXET6/MegMf/FKNF0PMdWreG3T28fs+vkRgapeuIaNqebKAvSLL/5QzQHbTxd/y6C2Ev/v1xZIs61bz+ej1/xKmad+lFoOHqvMUF6FxVhJ9XTLIQkSdLBiaeqeCw8gyUjt0J2z9vGhtIZlv/wIuK9TxF2PAjZ4fzrI1lqY33kknuvxROPBfRka0hkor9lbOva/NpI5U17f4/al+GK+QBMy65ge6aJqvLkuGWTpEJiIaRJIzHSTn9iBqnGo/P3zwM0LqMx3sGmLatp7x0ek+ts3vgYiSDHttkfoidXy5yeG9g60sRZJ573io6fWV/BpUtf4pepskZ4Qx8seMeY5JUkSZPTrsbLqYn10r/hN3u8ft8jt3NU7B5WjCwlGWTYsfZ2CEN6BoapjffDPgohgN6wllQ24hlCYUj5yk/RPlLPrCUXvaJDsjX59R1rg246wqnjmU6SCoqFkCaNGjrJppr2fHHKMgCOqljFbS+aJXTf2g4+8L+PMzSSBaCnZztP3XQVfV1tL3udrRsfAmDG3BPprz2e5mQ3tckRmh+/EsLc2HyYRAUkD2ybWEmSpBdrWnQx3Zkqeld+d4/Xt6zMF0T1J30SgOYHXwPdT9Hbu5NYEBIv23ch1BfWUpaLuBDa8mtmpB/ihuE/Z1pj4ys6JGhY+vzjnmDGeCWTpIJjIaRJYWRkhLpYN7HyaXu+0XAMYbKWq6bdyc1PbgOg9/4Pc8tNH+eGhzdz/QMb6RvOcO+P381hfd9l+R2fetlrDbUvZySMM2v2UqYe+U4AKuM5OOHrLgItSZIKxtFzpnJn3/HUdOZnAAG09w4zpf9+umKttB5yAf25CgJC2PILBvp3AhCv2HfRMkAtFWHPhOXfl/TTX2RzeiqZea98JnX5lCXPPx5MuruYpMnDv041KezY2UYsCElVt+z5RqKCYMn7OL3ibro330fv4DDx1V/hkOQqDptey1fuWMM/XvstXp36OZkwzpyeG+gfeuntWcsGnmF7OIt4soz4rEtg0V8RnHMbNJ0wjp9QkiTpwFSmEmxKnkBV2AFdT8KjH+SBu7/N8VUriE07HYKAHckjGcyVkd30c4Z2F0Kpyn0XQoNBHRWM7UYdByQ3QtB+N7/tOZ6zDnvlC0PXVVeTDfN/FmXKW8crnSQVHAshTQrtOzcDUFm7j199Fl9DJtHA1c3f5cbf3UJl0M/UuafzsUsOZ2ffEH+a+hIjiUa6Wq5kZnI7v7v7f/d7naGRLNPDNfSVLc6/kKiE479qGSRJkgpS7ez8DqjD918NT3+WV3e8h8ZEz/Ovl009nmQwQqzjXuhdA0D5fgqh4aCeqqAPcpmJCf/HOh4iGQ6wMncMh8+ofcWH1ZQnGcql8k8qZ41TOEkqPBZCmhS6OvOFUP2UffxalKojtugvOLPmYbY/fQMAZw78Gyd0fZobL2nnuMoVlM1/I03b/4dcGDC77TP7vc5Tm7YxK7WNxJQjxuVzSJIkjaVTlp5Md6aSsl2/55ahC0mzuxiZejoA0+eeQiLIEZBj2q6fAlBZ3bzPc6UTdbsfRLTT2I47APi7qd8meG4DkVcgHgvYla0HIFk7Z1yiSVIhGlUhFATBe4MgeDIIghVBEFwfBEF5EATzgiC4PwiC1UEQ/DAIgtRYhZUO1mDPFgCmNM7e5/uxOa8nEeR4d2O+EIqVT4WnP8PS9X+e/6XomM/AWTczGGugLtz2/GLTf+zpZx4gFoQ0t7olvCRJKnwLp9WwPLOM3mwln1p/KRvnfALmvQ2qFwAQzHwNI1QymEsxc+C3AFTV7LsQGonvXmw6vWtCsv+xdNvtjOTi9FYcdcDHbszmi6DKhnljHUuSCtZBF0JBEMwE/hZYFobhEUAceBPwaeALYRguBDoB98ZW5NJ9+QWjU1Ut+x7QcCxDqVZqEwP55yd9C869E6YcB8d+Ib+r1/Tz2D71bUxPtrNiw967jYVhSNnm/C4dddOXjcfHkCRJGnOZ5rOpiQ9wx5K/5LDyNXDyt+G5GTapOnIL3kkiyLArW0dIjGRF0z7Pk03sLoSGX0EhNNQOuX3/wHZQsmniHfeQjGWJt5xxwIf3B430ZKtorN/3Z5OkUjTaW8YSQEUQBAmgEtgKnA3csPv964DLRnkNadRyQzvIhnFI7XubVIKA8nl/svtxIr8d/dTT4YKHYPafPD+sed6ZJIIcm9f8fq9TbL7/33l99U9YVf92qF08Dp9CkiRp7B112nu4o+ojDC+7Fha+a6/3yw6/hkQA5fPfQHD2LfkfyvYhl3qZGULrfwDPfBFWfwNunAnbbhmrjwDDO9kVy88En7bwvAM+/NbcW3nvxvfRXFM2dpkkqcAlDvbAMAzbgiD4LLARGARuAR4GusIwfG4luc3AK1/iXxoniXQ7fakG6l5q2/e5V8KzX4KGpRDf952ONa2nAZDd/gfgrXu8V7nuqzzQfwRLLv/aWMWWJEkad431jZx16Sf3P6B6HsFhH6am/ihoOWe/w8JUAwxAONzBXiv49K2HP7w5/zhWAYlaWPPfMOPC0cbPq5zB0+lDSAXbqWs68FvG+soP4Y6+WhqrLIQkTR6juWWsAbgUmAfMAKqACw7g+HcHQfBQEAQPtbe3H2wM6WVlcyEVuQ6G4/veEeN5tYvz06NnXLT/MakGtjOf5uGHyeXC518Oh7toDDeSqZhHbUX5GCWXJEkqEEs/CXPf9JJDgrL87VbZoZ17vRdu+CEAv53yecgN5n+A23wTDG4/qDjDz/43Qz+YwvBPFxFu+BFhGDIv9zCb4sfCS/0AuB+zplQyp7GKeOyVL0YtScVuNLeMnQusC8OwPQzDEeAnwKlA/e5byABagb0XWwHCMPx6GIbLwjBc1ty874XppLHQ0TfMlHgX2dTL/HfWfi+EOZh62ksOG6w7niPKnuHeNS982dm09j4AFlesH21cSZKkohQvayAbxsgM7P1j78Cq7/HYwCG8485DWDG4gL7O9RBmYN23IQzhwavh9vMJH/vIS18kDOGpf6fs4XexoreFTZ1DDP7hL2l75ufMSm5luPHA1w8CeO+5h/C/f3nyQR0rScVqNIXQRuCkIAgqg/y+jucATwF3AK/fPeZtwM9GF1Eand7hDI2JbjLJl1kkcOppcPZvoemUlxw285DzmJLo4dd3/er513au/gUAyTkumSVJkianyrIkHZk6soPb9nyjZxVVA09wx+CZ/P6DZ3F3eDnV6TUMVBwKz/wHbLgeVn2VXVseIXjq30h3rdn3BUb64J43w2Mf5pfdp/H96m/x/eCjVIadtDx6BVvSTcxedvVBZa9IxWmq9nYxSZPLQRdCYRjeT37x6EeAJ3af6+vAh4H3BUGwGmgErh2DnNJB699dCIVlU196YKISWs7O//sSkrMvJUuC1p6f88TmbgBquu4EoPaQK8cisiRJUtGpSCXYmanf6zawHY9/nVwY0HjYW5ndWMlb3/xPrEwvJDmwEoa2kbv3bWxIT+ct6/LrGK18+H9gzbWw+r/3vMDQdsJtt3FD5mo+sOUjfPg1R3PC8a/l7t6jSTDM9Zm/pXmKu4RJ0is1ql3GwjD85zAMl4RheEQYhleFYTgchuHaMAxPCMNwYRiGbwjDcHiswkoHY3Cgl+r44MsXQq9UWSPhtHN5bcNdfPaWZ+gfzjCdtYxQBjWHjM01JEmSikxVKs7OTD3B8I4XXswOUb35Wn7bewKXnnISANVVdWxcehNPDCxkV66JWJjhR0N/zv/83VWsTi8g2XYDPPS38OgHIPuiPyVqFvCj6bfzgacu5P3nLWZabTlnLm7mE+3v5R83/zW1i94ywZ9YkorbaLedlwpeeiD/pSReMXZrVSXmvZmZyR0s6fx/fPu6D1EVGyRdtXtRakmSpEmoIhWnPVNPfPhFM4Q2/IDKsJPfZt9IXUXy+ZfPOXoJ/1Pxdd6x7cv8IP4J3n3VPzG1tpye5otZFH8KsgMw0g1bb37+mJ1bn+SElRfxn4f+iD8/Kb+RcXkyzpGLl/K9XRdx/hHTJ+yzSlIpOOht56ViMTLUBUCivH7sTtp6KWGiio9M//bzL1XNvWTszi9JklRkKlMJdmYaSIy05xd/DgLCVf/F2uHZhFPP3mNsEAT8x1tP3+sci499C8HtXwQgE8aJr/8BQeslkB0id9cVTE+2My/2P3D7s/DqeyAW5wPnL+asJVOZ3fjSt/1LkvZkIaSSlxnOr/OTGstCKFVH8JqnWb1lO8+2D/OaeYPQePzYnV+SJKnIVKXi7BypJx4Ow0hP/sWOB/hF1xUcddgr+x5WVV4O5VN5uPEjrFnxS/4k/jPinY+TW/4xpmae4guZz/LecxfB0DaIxQGYVlvORUc6O0iSDpSFkEpedjj/haSscgwLIYCqWSxcNIuFi8b2tJIkScWoYvcaQgAMbYeeZwnIcWr1Y5S3vsLvYQ1HwWWbWDIS8C93J7lkyr3Ef72UgID/2/YuXnXxW6F12vh9CEmaRFxDSCUvl87PECqvaIg4iSRJUumqTCVoz+z+vjW0HTb/BIA7+05kcUvNKz9RPEVVeZLW+Sdz8fpvklv8Pj43+Eluzb2JMxeP0SYhkiQLIU0CI70AxMvqIg4iSZJUuqrLEuzKvqgQ2vJrwhCeLr+cZPzA/+x43TEzWd1Txf/Z+Ha+vOpIrjxxDvGYG3hI0lixEFLpy+y+hz1ZG20OSZKkEpZKxJjRMif/pHcN4dB2NqRnMH/2wd1ff/aSqZy5uJnv3b+RVCLGG4+fNYZpJUkWQip5secKocQBTFWWJEnSAVu6YCHZMEZm7XcIgJ92nsGJ8xoP6lxBEPCvlx9JdVmCS4+ewZSq1NiGlaRJzkWlVfLimV4GYxVU7N6JQpIkSePjtMUt7Gqrpbn3SdJUcu3Oy7hn3pSDPt/M+gpue98Z1FUkxzClJAmcIaRJIJHrYzCsjDqGJElSyTtiZh2dufw6Qg9kTmP2tOmjLnNa6sqpSPnDniSNNQshlbxUro8hqqOOIUmSVPLisYCwPL8T2HVtJ3Hi/IOfHSRJGl8WQip5KfpIBxZCkiRJE2Hu7MPoDeu5s2cppy1qijqOJGk/XENIJa8s7GckZiEkSZI0EcqO+zTJI/6eG8+axmHT3eVVkgqVhZBKXkXQTybWEnUMSZKkyaG8mVh5M4fXRR1EkvRSvGVMJS0MQyqDAbJuOS9JkiRJ0vMshFTShjM5qmMD5CyEJEmSJEl6noWQStrAcIbq+ABYCEmSJEmS9DwLIZW0gcFeEkGOIOlN7JIkSZIkPcdCSCVtcKATgFjKHS4kSZIkSXqOhZBK2vBgvhCKlzlDSJIkSZKk51gIqaSlB7sBSJRbCEmSJEmS9BwLIZW0kaEuAJLl9REnkSRJkiSpcFgIqaRlhnsAKKuwEJIkSZIk6TkWQippuXT+lrHyyoaIk0iSJEmSVDgshFTSwpH8DCELIUmSJEmSXmAhpJKWHsyvIVTmGkKSJEmSJD3PQkglbaRnPf1hNUGiPOookiRJkiQVDAshlazMPX/K0vjd7EgdHXUUSZIkSZIKioWQSlaw8cdMS3RA40lRR5EkSZIkqaAkog4gjYvsMPFwAAJomntG1GkkSZIkSSoozhBSaRrueP5hTeurIgwiSZIkSVLhsRBSaUrvAqCbZki55bwkSZIkSS9mIaSSlBlsB6AzeUjESSRJkiRJKjwWQipJvV1tAIyUz444iSRJkiRJhcdCSCVpsGsdAGHVnIiTSJIkSZJUeCyEVJIyfRsASNbOjziJJEmSJEmFx0JIJSkY3AJAZb2FkCRJkiRJf8xCSCUpNpxfVLq+cVbESSRJkiRJKjwWQipJyUwnAGXVMyJOIkmSJElS4bEQUklK5XrIhjFIVkcdRZIkSZKkgmMhpJKUDAcYIRV1DEmSJEmSCpKFkEpSKhgmHVRGHUOSJEmSpIJkIaTSE4YkyJAOaqJOIkmSJElSQbIQUskZHOgmCCCTaIg6iiRJkiRJBclCSCWns2MjANlUc8RJJEmSJEkqTBZCKjn9u57NP6iYHm0QSZIkSZIKlIWQSs5w52oA4tWzI04iSZIkSVJhshBSyUnvehKAhmlHRpxEkiRJkqTCZCGkklM+8AzpMEnZtJOijiJJkiRJUkGyEFJJCXM5poVrWBE/D7xlTJIkSZKkfbIQUknZtukRGhNdpBvPiDqKJEmSJEkFy0JIJWXnmpsBaJh3XsRJJEmSJEkqXBZCKinJjt+zOT2V+fNcUFqSJEmSpP2xEFJJqR1+ho0cRjLuf9qSJEmSJO2PfzWrZITZNM1BG8OVC6OOIkmSJElSQbMQUsnYsfUpkkGWVMOhUUeRJEmSJKmgWQipZGzd9DgAU6YfFXESSZIkSZIKm4WQSkZf+5MAzJ57TMRJJEmSpBOaHQAAIABJREFUJEkqbBZCKhlBz7PsyjZQVd0YdRRJkiRJkgqahZBKRu3IGjpi86KOIUmSJElSwbMQUknoHRphZnwTw5WLoo4iSZIkSVLBsxBSSVi9aQNTEj2UTXGHMUmSJEmSXo6FkErCzk33AjBl5nERJ5EkSZIkqfBZCKkk5HY+AMCUWadGnESSJEmSpMJnIaSS0DDwKFtyswnKGqKOIkmSJElSwbMQUtHLZLLMjz3JzrKlUUeRJEmSJKkoWAip6G1ue4amRBfZhhOijiJJkiRJUlGwEFLRa19/FwD1rh8kSZIkSdIrYiGkopfreJB0LsHMuSdFHUWSJEmSpKJgIaSilxpcx9bsTFJl5VFHkSRJkiSpKIyqEAqCoD4IghuCIHgmCIKngyA4OQiCKUEQ3BoEward/7rtk8ZVXXYjXfHWqGNIkiRJklQ0RjtD6IvAb8IwXAIcDTwN/D3w2zAMFwG/3f1cGhdhLkdLrI2hsnlRR5EkSZIkqWgcdCEUBEEdcDpwLUAYhukwDLuAS4Hrdg+7DrhstCGl/dnZsZnK2BBBzfyoo0iSJEmSVDRGM0NoHtAOfCsIgkeDIPjvIAiqgGlhGG7dPWYbMG20IaX9ad/6NAAVUxZHnESSJEmSpOIxmkIoARwLfC0Mw2OAfv7o9rAwDEMg3NfBQRC8OwiCh4IgeKi9vX0UMTSZ9ex8BoAp0yyEJEmSJEl6pUZTCG0GNodheP/u5zeQL4i2B0EwHWD3vzv2dXAYhl8Pw3BZGIbLmpubRxFDk1YYkuleTS4MmDb90KjTSJIkSZJUNA66EArDcBuwKQiC56ZmnAM8BdwEvG33a28DfjaqhNK+bLsdfnMcdYOPszPbRCJVGXUiSZIkSZKKRmKUx/8N8L0gCFLAWuDPyJdMPwqC4B3ABuCKUV5D2ssgVaQ6V3AkI6yJHc7UqANJkiRJklRERlUIhWH4GLBsH2+dM5rzSi/n55tm0L79Uq6edgO18cGo40iSJEmSVFRGs4aQFJm2rkHmlG0jR4Ky4z8TdRxJkiRJkoqKhZCKUqzrcS6uv5vYER+hduHroo4jSZIkSVJRsRBSUWocuDf/YNFfRxtEkiRJkqQiZCGkolQ1somhsBLKp0UdRZIkSZKkomMhpKLUkNtMV2wmBEHUUSRJkiRJKjoWQio6g+ksLfGtDKTmRB1FkiRJkqSiZCGkorOte5DZZdvIVloISZIkSZJ0MCyEVHR2dmymMjZMvGZB1FEkSZIkSSpKFkIqOv27VgJQMWVhxEkkSZIkSSpOFkIqOiNdawGoa14ccRJJkiRJkoqThZCKTqw/XwhVNjhDSJIkSZKkg2EhpKJTNryRjuwUSFRGHUWSJEmSpKJkIaSiU5PdxC5mRh1DkiRJkqSiZSGkotNEG/2p2VHHkCRJkiSpaFkIqah09fXTkmgnVzkv6iiSJEmSJBUtCyEVla1bVhIPciTrXVBakiRJkqSDZSGkotLV/iwAtU2LIk4iSZIkSVLxshBSURnqXAXA1OmHRpxEkiRJkqTiZSGkohL2rSMdJqmodVFpSZIkSZIOloWQikrF8AZ25logFo86iiRJkiRJRctCSEWlPreZnsSsqGNIkiRJklTULIRUNIZGsrTEt5Iunxt1FEmSJEmSipqFkIrGlh1baEj0EquZF3UUSZIkSZKKmoWQisauHSsBqKhfGHESSZIkSZKKm4WQisbArtUA1DYfEnESSZIkSZKKm4WQikaubx0ADRZCkiRJkiSNioWQikZ8YD19uUoSFY1RR5EkSZIkqahZCKloVI1soj2cAUEQdRRJkiRJkoqahZCKRn24hd54a9QxJEmSJEkqehZCKgq5bI6W+FaGy2ZHHUWSJEmSpKJnIaSi0NG5mcrYMGHV3KijSJIkSZJU9CyEVBQ6d6wCIFW3IOIkkiRJkiQVPwshFYX+jnwhVNO4KOIkkiRJkiQVPwshFYWRnrUANE1bHHESSZIkSZKKn4WQikJF/5PszNRTW9sQdRRJkiRJkoqehZAKX2aABek7eILTCYIg6jSSJEmSJBU9CyEVvI6VP6UyNsjg9NdHHUWSJEmSpJJgIaSCl1jxUboy1Rxy1CVRR5EkSZIkqSRYCKmwZUeoy6xla3YmC6bWRp1GkiRJkqSSYCGkghYObM7/WzHD9YMkSZIkSRojFkIqaIPd6wAIypsiTiJJkiRJUumwEFJBG+reCECurDniJJIkSZIklQ4LIRW0dG/+lrGgfHrESSRJkiRJKh0WQipo2YFtAMQqZ0ScRJIkSZKk0mEhpMI2tAOAZM3siINIkiRJklQ6LIRU0IJ0BwDl9fMiTiJJkiRJUumwEFJBi2W6CEOoqW+NOookSZIkSSXDQkgFLZ7pJSSgujwVdRRJkiRJkkqGhZAKWiLsI0uMWCyIOookSZIkSSXDQkgFLREOkgmTUceQJEmSJKmkWAipoCXDYUbwdjFJkiRJksaShZAKWpwRRiiPOoYkSZIkSSXFQkgFLU6WdKwq6hiSJEmSJJUUCyEVrjAkIGQkqIk6iSRJkiRJJcVCSAUrHGonCGAkXhd1FEmSJEmSSoqFkArWUPc6ALLJhoiTSJIkSZJUWiyEVLAGu9YDkEs1RxtEkiRJkqQSYyGkgjXcuzn/oHxatEEkSZIkSSoxFkIqWNn+LQDEKqdHnESSJEmSpNJiIaSCFQ7tACBRMzviJJIkSZIklRYLIRWs4ZEsuTCgbMphUUeRJEmSJKmkWAipYFV038ujQ0fR0rIg6iiSJEmSJJUUCyEVpG0bH2JmbD1dTZcSjwVRx5EkSZIkqaRYCKkgrXvkOnJhwKEnvi3qKJIkSZIklRwLIRWkxu5bWZk7mhkt86OOIkmSJElSybEQUsEZTg8zJ76Wnqrjoo4iSZIkSVJJshBSwdm4YTllsRGSjUdFHUWSJEmSpJJkIaSC09H2MACNM50hJEmSJEnSeLAQUsEZ6VhONowxY9bSqKNIkiRJklSSRl0IBUEQD4Lg0SAIfrH7+bwgCO4PgmB1EAQ/DIIgNfqYmkzKB55iS66VRFlV1FEkSZIkSSpJYzFD6O+Ap1/0/NPAF8IwXAh0Au8Yg2toEpmWW8WuxCFRx5AkSZIkqWSNqhAKgqAVeA3w37ufB8DZwA27h1wHXDaaa2hy6ejqpDWxlUzN4VFHkSRJkiSpZI12htB/AB8CcrufNwJdYRhmdj/fDMwc5TU0iWzZ+AixIKS82R3GJEmSJEkaLwddCAVBcDGwIwzDhw/y+HcHQfBQEAQPtbe3H2wMlZj+9hUATJl+dMRJJEmSJEkqXaOZIXQqcEkQBOuBH5C/VeyLQH0QBIndY1qBtn0dHIbh18MwXBaG4bLm5uZRxFApyXY/QyaMMXW6t4xJkiRJkjReDroQCsPwI2EYtoZhOBd4E3B7GIZXAncAr9897G3Az0adUpNG+eBqtmWnE0+WRx1FkiRJkqSSNRa7jP2xDwPvC4JgNfk1ha4dh2uoRDVk1tERmxt1DEmSJEmSSlri5Ye8vDAM7wTu3P14LXDCWJxXk0uYyzIjvolHy06LOookSZIkSSVtPGYISQelY8dqymNpqD0k6iiSJEmSJJU0CyEVjJ1bHgegoumIiJNIkiRJklTaLIRUMAZ3PgVA0/QjI04iSZIkSVJpsxBSwYj1PkV3toqWqbOijiJJkiRJUkmzEFJhCHPMGrqTJ0aOIZGIR51GkiRJkqSSZiGkgpDd+SBTgna21FwQdRRJkiRJkkqehZAKQuezP2QkjFMx95Koo0iSJEmSVPIshBS9MCS59Ubu6zuSpQsWRJ1GkiRJkqSSZyGk6PU8S93IOu5Ln0ZrQ0XUaSRJkiRJKnkWQopc2HYTAL2NFxAEQcRpJEmSJEkqfYmoA0hdq35CKlvOxa1roo4iSZIkSdKkYCGkSOUGd1LX9wCxeMhxreVRx5EkSZIkaVLwljFFavmDPyAWhADEm0+JOI0kSZIkSZODhZAiddfmFOvTrYSJGqg7NOo4kiRJkiRNChZCikw2F/LN1XNJpKoJmk6EwP8cJUmSJEmaCP4FrsisaOtmaLCXGayCxpOijiNJkiRJ0qRhIaTI/G5lO0dVriZGFppOjjqOJEmSJEmThoWQIvP7le1cPuMZIICmE6OOI0mSJEnSpGEhpEgMpDM8tqmT86tuh2lnQ1lj1JEkSZIkSZo0LIQUiYc3dHJk+TM05DbCvLdGHUeSJEmSpEnFQkiRuG9tB5c33EkYK4dZr4s6jiRJkiRJk4qFkCJx/9qdvLbhDwStr4VkbdRxJEmSJEmaVCyENOEG0hlGdj5KQ2wXzLg46jiSJEmSJE06FkKacI9t6uLUyofyT6afF20YSZIkSZImIQshTbgnNndzRs0jZOqWQkVL1HEkSZIkSZp0LIQ04Va1bea4qqdJzLww6iiSJEmSJE1KFkKacMmOe0gEWZj+6qijSJIkSZI0KVkIaUL1DI3Qmn2MLAloPDHqOJIkSZIkTUoWQppQK9q6ObbyGforj4BEZdRxJEmSJEmalCyENKGe3NzB0ZUrSU07JeookiRJkiRNWomoA2hy6d76KJWxYZj+qqijSJIkSZI0aTlDSBNqyuBD+QfNzhCSJEmSJCkqFkKaUK25FXSHjVA5O+ookiRJkiRNWhZCmlC14Xa6460QBFFHkSRJkiRp0rIQ0oRJZ3LUB52MJJujjiJJkiRJ0qRmIaQJ09E/TFOyi1zZtKijSJIkSZI0qVkIacK09wwwJd5DvGJq1FEkSZIkSZrULIQ0Ybq7thILQpJV06OOIkmSJEnSpGYhpAnT390GQGXtjIiTSJIkSZI0uVkIacIM920FoLp+ZsRJJEmSJEma3CyENGGy/dsAKKt2hpAkSZIkSVGyENLEGdqe/7fcRaUlSZIkSYqShZAmTDzdzkiYhGRd1FEkSZIkSZrULIQ0YcqyO+kNpkAQRB1FkiRJkqRJzUJIE6Y67GAw1hR1DEmSJEmSJj0LIU2IoZEs9bFORpLNUUeRJEmSJGnSsxDShNjaPURTopOwzAWlJUmSJEmKmoWQJkTbrgEaE92kqqZHHUWSJEmSpEnPQkgTYueuLSSDLJV1M6KOIkmSJEnSpGchpAnRu2sdANVT5kecRJIkSZIkWQhpQoz0bAAgWTMn4iSSJEmSJMlCSBMiGNyYf1A5O9ogkiRJkiTJQkgTI5VuI0MSyt12XpIkSZKkqFkIadxlcyENuTZiZGH1N6KOI0mSJEnSpGchpHHX3jtMa3IrMXIQL486jiRJkiRJk56FkMZdW9cAM5I7808qZ0UbRpIkSZIkWQhp/LXt6qUh0ZN/YiEkSZIkSVLkLIQ07rp2bSQehPknla3RhpEkSZIkSRZCGn+DXevzD5K1kKiINIskSZIkSbIQ0gTI9W3IP6iYEW0QSZIkSZIEWAhpAiSG2vIPquZFG0SSJEmSJAEWQhpnYRjyi/ajSVMO1fOjjiNJkiRJkrAQ0jjrGcywaqCJFENQ5Q5jkiRJkiQVAgshjavNXQNMT+7MP3HLeUmSJEmSCoKFkMZVW+cgM5Lt+ScWQpIkSZIkFQQLIY2rtq5BZwhJkiRJklRgLIQ0rto6B2kt68g/cdt5SZIkSZIKgoWQxtWW7kHmV3VB+VSIp6KOI0mSJEmSsBDSOGvrHGRmeZezgyRJkiRJKiAWQhpX23qGmBrfCRUzo44iSZIkSdL/b+/eg+y86/uOv79n7zdddyXZulq2ZCPAyLYwNgGCISUGXC6NoUBrXEILM+XagWkJYabQKWmTdEhLICQeoKUNl3A1JDFgFxziBrCR7xdZtiUsS7Iuq72vVtqz55xf/ziP5ZW0u8pqz9E5632/Znb2eX7P2ef57u539mg++j2/R5mzDoQiYm1E3B4Rj0TEwxHxoWx8WUTcFhGPZ5+XVq5czScpJQaOTrAkjjhDSJIkSZKkOjKXGUIF4CMppS3AVcD7ImIL8DHgJymlTcBPsn0tQGP5IqVino7UZyAkSZIkSVIdOetAKKV0IKV0T7Y9AuwAVgNvBL6SvewrwJvmWqTmp4GxPCua+ss77d4yJkmSJElSvajIGkIRsQG4DLgTWJlSOpAdOgisrMQ1NP8Mjk2w8plAyBlCkiRJkiTVjTkHQhHRCXwH+HBKaXjysZRSAtI0X/eeiNgeEdt7e3vnWobq0MBYnpWNfeUdZwhJkiRJklQ35hQIRUQT5TDoqyml72bDhyLivOz4ecDhqb42pXRTSmlbSmlbT0/PXMpQnRpwhpAkSZIkSXVpLk8ZC+BLwI6U0mcmHfoBcGO2fSPw/bMvT/PZ4FieVU19pGiClu5alyNJkiRJkjKNc/ja3wBuAB6MiPuysY8D/xX4ZkS8G9gDvHVuJWq+Gjg6wZqmPmg7D6Iiy1VJkiRJkqQKOOtAKKX0/4CY5vCrz/a8eu4YGMvzkuYBwtvFJEmSJEmqK07bUNUMjOVZ1dwP7QZCkiRJkiTVEwMhVc3A2ATdDf0uKC1JkiRJUp0xEFLVjI2N0JkbLa8hJEmSJEmS6oaBkKomN36gvNG6qraFSJIkSZKkkxgIqWqa873lDWcISZIkSZJUVwyEVBUTxRKdyUBIkiRJkqR6ZCCkqhgcm6CnaaC802ogJEmSJElSPTEQUlUMjuVZ0ThAIgct3bUuR5IkSZIkTWIgpKoYGJtgRVM/+aYeyDXUuhxJkiRJkjSJgZCqov/oOD2NA5RafMKYJEmSJEn1xkBIVdE7Ms6KpgFy7a4fJEmSJElSvTEQUlX0jpRnCDV1nl/rUiRJkiRJ0ikMhFQVR0bG6G4cJNdmICRJkiRJUr0xEFJVHB89SEOUoM01hCRJkiRJqjcGQqqK0tjB8kabawhJkiRJklRvDIRUFU3j+8sb3jImSZIkSVLdMRBSxaWUWM3O8s7i59e2GEmSJEmSdBoDIVXc0LEJLmnZxWDjBdDUVetyJEmSJEnSKQyEVHG9I+O8oG0Xo+2X1roUSZIkSZI0BQMhVdxA/wHWNB+muHhrrUuRJEmSJElTMBBSxRX67gGgsfuKGlciSZIkSZKmYiCkimscuheArvNeXONKJEmSJEnSVAyEVHGdYw+xP99D1+KVtS5FkiRJkiRNwUBIFdc18WueKm4gImpdiiRJkiRJmoKBkCorJZanpxjIra11JZIkSZIkaRoGQqqs8T7a4yj51o21rkSSJEmSJE3DQEgVNT64E4Dcok01rkSSJEmSJE3HQEgV1X9oBwAd3ZtrXIkkSZIkSZqOgZAqp1SgcOBnlFLQs+qSWlcjSZIkSZKmYSCkyhnvZW3/XzJc7GB9z/JaVyNJkiRJkqZhIKTKmRgFoK+4jMXtTTUuRpIkSZIkTcdASJVTGAFgOLeyxoVIkiRJkqSZGAipco4fLn9qWl3jQiRJkiRJ0kwMhFQxE6NPlTfazq9tIZIkSZIkaUYGQqqYsZHyDKGWju4aVyJJkiRJkmZiIKSKmTjWB0CutafGlUiSJEmSpJkYCKliSsf7AWhoMxCSJEmSJKmeGQipYlJ+EICmjlU1rkSSJEmSJM3EQEiVMzEMQFunawhJkiRJklTPDIRUOYVRANo7ltS4EEmSJEmSNBMDIVVMrlgOhLo6l9W4EkmSJEmSNBMDIVVMQ+kYpQQtza21LkWSJEmSJM3AQEgV01A6RokGIqLWpUiSJEmSpBkYCKliGshTpKHWZUiSJEmSpDMwEFLFNKQ8hdRY6zIkSZIkSdIZGAjNRynBzj+F0SdrXclJGihQoLnWZUiSJEmSpDMwEJqHiqN74e4P0nvzVXzv1r+qdTknNFCgEC21LkOSJEmSJJ2BgdA81HtkLwA9uUNce/id5PMTNa6oLEeJYviEMUmSJEmS6p2B0Dw0NnwAgD3xQtpyefZv/+y5L2Ln5+DBTz27XxwnAgq59nNfiyRJkiRJmhUDoXno+NHDABxd/14AVu75AygeP7dFPP45ePCTcOSXAKSJEQCKBkKSJEmSJNU9A6F5qDB2CIDOdb/NRGqktTQAvf9wDgs4CsOPlbe3fwBSibGjAwCUGrvOXR2SJEmSJOms+Izweah0rJdCyrF46ToONm1lZKSPv3t0Pbmdu1iztI3rLj2/ugUMPggknmh7HRf138Iv/vb36Vj3W1wKpMZF1b22JEmSJEmaM2cIzUORP8JAYRFdbU20nH8NF7fu4c9uvZfHfvF5Xnj3FYweO1bdAgbuA+DGe67nh0Mv5YrB/8Zdv/hm+VjTkupeW5IkSZIkzZmB0DzUONHHUFpCLhes2HwdDVHinnce4ZMXfp/1LQcZGni6qtefOHI3g4VO3vDSq3jlDTcznuvi+ravARAtS6t6bUmSJEmSNHcGQvViYhTG9kOpcMaXthT7GU3ZTJyel8Pyq2i+/6MsmtgNwNjo4erVWSqQP3AHO4+v5+oLu2nr7OFg12+zpHEUgIbW5dW7tiRJkiRJqggDoXrx9N/CzWtgeGd5P5XgiZvgyW/AsUMnvbSt1M+x3LLyTgS86NNQHDtxfLwSgdDYPvi/vwm/ev/J46O76Ti+k3xq4rJ15VCqff3rThxubO+e+7UlSZIkSVJVGQjVi4EHyp/3fB0KY/D4n8Nd74Wfvx1+/OKTXtoZg4w3TJqJs+pVsPn99K0uP4Y+P3Zk5mulVP6YSjFfDqJ+tA0O/z3s//7Jx3vvAODp3PPpam0C4LzN11FMAUBzx6p/xDcrSZIkSZJqyaeM1YmJ/vtoAnj40ww++pe0lfo41Hw1iwtPsWhsH5FSeTZQqUhXjFBsXHbyCbb9KRMHHof9f0Hh2DSBUEr8+oc3sHLoh6TI8UDnu9n66k8wnpr52l1PUSgmXjf4fi4av5Xh3HkcankNm8ZuhfF+aClfr9h7Jw3AxLKXnThtrnUpT6d1nB97aOs6ryo/H0mSJEmSVDnOEKoTw4MHALhx96cYOXacUnGCGx54F/cMriJIcHQPAGm8j1wkSi09p52ja9HK7DVTB0IDR3ZzweBXGRjP0VLs5+rhP2T3HZ/kW9v38We33sumx/4VG4/fCsCi0gFu25s9Qn7wwRPnOH6kPJNp2QWvOuncE4svB6C1Y+XZ/ggkSZIkSdI5YiBUJ3ITgxRT8LmP/h7nv2MXzW96nJ9+8l/TsepKAI7tLQc1R0fKwVFD2+lr9bS3d3G81Az5/imv8dSv7wKgtOEGYvP7yZcaGRk8yGP7nuLbmz7BtUvuguf/PsXXPkjx+hFKmz8AwETffc+e5OgeJkoNvHDDmpPOvX7TKwCI5kVz+ClIkiRJkqRzwVvG6kRjaZiJ1JSty9MEzR0AtKy+Bh7/AsN7f0bb897D6NABOoHGttNn4kQEQ6VFNEwMTHmNkYP3ArDk8o/RsGgF9z/yK9aP/x2Xj02wqXMX8YqbidXXnXj9RWsvou/IItLBe+neUh5rLvYzXOpizdK2k09eGM2+ka45/RwkSZIkSVL1OUOoTjSlY+RpPm187cXXltd/HnoYgLGR8hPHWjunvjVrNC2iqTj1DKGG4YfoLXbTtWgFAAc6f4vzGvbz5o6b2d12LUwKgwBeuHYpO49vIA3cXx4oFWhMeYZjJRFx8sk7N8LqfwoNp38PkiRJkiSpvhgI1YnGlGecjtPGly3qYoImWvP7AMgfLQdC7YumfprXGItpLQ5OeWz5xE6ONGw+sd+0rhwAtebyjG384GmvP39xK08WLmTx+KOQSowf+iURMNa26fSTb3gH/OYPZv4mJUmSJElSXTAQqhMNFBiPqW+3OsoS2hmCJ25i7cHPUUw5uhZPHQgdzy2hjVMCoeHH6D30GOubnqKw6AUnhi/asIX7xzbxy9EXsGHzNaedKyI43rGFZo7D6G6O7L4NgNzyF5/ldylJkiRJkuqBawjVg4kxIiCfWzrl4eMt61ia74W73su+wvP5zL4b+OOuzilfm29YSmdx+KSxkVtfT/v4IVpyBTpXbj0xvmF5By/f/wcs7mjllvamKc/X1nMpDMJ430NM9G4HoHvja87mu5QkSZIkSXXCQKgOjA/tpAUoNK+Y8njLyqth7918a+g6/qjvA1zQ00VXy9S/ukLjMrrSMKQEEVAYo2N8F7lIAJy//tnZPblc8NortrBkmjAIYOWarTAIvfvvg2NPkxJ0r9l29t+sJEmSJEmqOQOhOjDS+ygtQKll6tvAlj3vBjh2H295/R/xlsXPm/FcqXkZTYUipfwwuZbFDB16kMWR2NnxFi5ePEbL8ktPev0nrtsy4/kuWr2Gg/cuY6L/IUbzwa7c87iowbaRJEmSJGk+cw2hOjA+uAuAXOe6qV/QfSW85g44QxgEEC3LATg6Wl58unffPQAMb/gQvPJvZv0UsDVL29g9vp6WozvYmHuUvtbLZvX1kiRJkiSp/hgI1YHC6FMANC++cM7namjLAqHhwwAcP/IA+VIj69ZfOtOXTSuXC/obN3J+6RE6Go5RWurtYpIkSZIkzXdVC4Qi4tqI2BkRT0TEx6p1neeEsacB6Fh+8ZxP1dTeA8Dx0cMwtIMLh77KoUIPKxZPvQj1P8Z4+yUntrtWv3TONUqSJEmSpNqqSiAUEQ3A54HXAluAt0fEzIvVPJflB8qLPD/j2AEojp/YzeV7AViy4sy3hJ1JS0d5Yerxo70w9DBtjNAXa4mIsz/n8vKj6oeL7azfsPUMr5YkSZIkSfWuWjOErgSeSCntTinlgW8Ab6zSterLri/Dj7bBz2+AoR1w6GfwnW747grY8Rk4uhf+ehPc//ETX9JU6KeUoKmlY86Xb+8sB0KFY4dJ/fcBMNA2txCne/WLANg5cQldbS1zK1CSJEmSJNVctR4XtRrYO2l/H/CSKl2rPqQSO3/8QS7u/zwDTZtpH/g++b23U4g2GmMVLfkhmu79CE8/8l1WF44yvvOLfG/4zVw5+F9YWTxAMRorks51LlrFcLGD/gMP8PSRJ1kNxPLL53TOjWsu4L6fb+Kx5mt48ZlfLknK0QAMAAAIYUlEQVSSJEmS6lzNFpWOiPdExPaI2N7b21urMionlRg8cDdf7buWbXf/MW957FM0TxxiaeEJPrzr3Xxy742QYPX4P3DHyFZa0jAvf/KfsXHsFjpyRynG7J7+NZ3lXS08lr+IFcfvYlX+bkaLbazc/IY5nbOnq4X/MPJFjl3wbytSoyRJkiRJqq1qzRDaD6ydtL8mGzshpXQTcBPAtm3bEvNdrpEtb72NS6KZ67L1egpPryMNP8Rn3ly+PSx/b4GWJ29i6+s/S/Hu32U1T3D84o8T44donu6R87PU0tjA1hddQ8NjnwWg9cK38by1583pnBHBj//dKypRniRJkiRJqgPVCoR+BWyKiAsoB0FvA95RpWvVja6OU57kdeHvAL9D6zP7L/ksbP5durpfAsX/DPv/mtbLPgW5yv4aGpdvA0rl7e4rKnpuSZIkSZI0/1UlEEopFSLi/cCPgQbgyymlh6txrXmloQW6s6WU1v/z8kc1LLvs2e1Fc3+UvSRJkiRJem6p1gwhUkq3ALdU6/yaQdfF0NAGxWOw6JJaVyNJkiRJkupMzRaVVhXlGmDpVmjsgLbVta5GkiRJkiTVmarNEFKNXfhvYHgHZAtcS5IkSZIkPcNA6LnqwnfVugJJkiRJklSnvGVMkiRJkiRpgTEQkiRJkiRJWmAMhCRJkiRJkhYYAyFJkiRJkqQFxkBIkiRJkiRpgTEQkiRJkiRJWmAMhCRJkiRJkhYYAyFJkiRJkqQFxkBIkiRJkiRpgTEQkiRJkiRJWmAMhCRJkiRJkhYYAyFJkiRJkqQFxkBIkiRJkiRpgTEQkiRJkiRJWmAMhCRJkiRJkhYYAyFJkiRJkqQFxkBIkiRJkiRpgTEQkiRJkiRJWmAMhCRJkiRJkhYYAyFJkiRJkqQFxkBIkiRJkiRpgTEQkiRJkiRJWmAMhCRJkiRJkhaYSCnVugYiohfYU+s6KqQbOFLrIjSv2DOaDftFs2XPaLbsGc2G/aLZsmc0W/bM3KxPKfVMdaAuAqHnkojYnlLaVus6NH/YM5oN+0WzZc9otuwZzYb9otmyZzRb9kz1eMuYJEmSJEnSAmMgJEmSJEmStMAYCFXeTbUuQPOOPaPZsF80W/aMZsue0WzYL5ote0azZc9UiWsISZIkSZIkLTDOEJIkSZIkSVpgDIQqJCKujYidEfFERHys1vWoPkTElyPicEQ8NGlsWUTcFhGPZ5+XZuMREZ/NeuiBiLi8dpWrViJibUTcHhGPRMTDEfGhbNy+0WkiojUi7oqI+7N++VQ2fkFE3Jn1xV9FRHM23pLtP5Ed31DL+lU7EdEQEfdGxN9k+/aMphURT0bEgxFxX0Rsz8Z8X9K0ImJJRHw7Ih6NiB0RcbU9o6lExMXZ35ZnPoYj4sP2y7lhIFQBEdEAfB54LbAFeHtEbKltVaoT/wu49pSxjwE/SSltAn6S7UO5fzZlH+8BvnCOalR9KQAfSSltAa4C3pf9PbFvNJVx4FUppRcBW4FrI+Iq4A+BP0kpXQQMAO/OXv9uYCAb/5PsdVqYPgTsmLRvz+hMrkkpbZ306GfflzST/wH8KKV0CfAiyn9v7BmdJqW0M/vbshW4AhgDvof9ck4YCFXGlcATKaXdKaU88A3gjTWuSXUgpfT3QP8pw28EvpJtfwV406Tx/53KfgksiYjzzk2lqhcppQMppXuy7RHK/4BajX2jKWS/99Fstyn7SMCrgG9n46f2yzN99G3g1RER56hc1YmIWAO8Hvhith/YM5o935c0pYhYDLwC+BJASimfUhrEntGZvRrYlVLag/1yThgIVcZqYO+k/X3ZmDSVlSmlA9n2QWBltm0f6STZrRmXAXdi32ga2a0/9wGHgduAXcBgSqmQvWRyT5zol+z4ELD83FasOvDfgX8PlLL95dgzmlkCbo2IuyPiPdmY70uazgVAL/A/s1tTvxgRHdgzOrO3AV/Ptu2Xc8BASKqhVH7Mn4/602kiohP4DvDhlNLw5GP2jSZLKRWzadZrKM9YvaTGJamORcR1wOGU0t21rkXzystSSpdTvlXjfRHxiskHfV/SKRqBy4EvpJQuA47y7O0+gD2j02Vr170B+Napx+yX6jEQqoz9wNpJ+2uyMWkqh56Z1ph9PpyN20cCICKaKIdBX00pfTcbtm80o2w6/u3A1ZSnTzdmhyb3xIl+yY4vBvrOcamqrd8A3hART1K+xf1VlNf6sGc0rZTS/uzzYcpre1yJ70ua3j5gX0rpzmz/25QDIntGM3ktcE9K6VC2b7+cAwZClfErYFP2hI5mylPdflDjmlS/fgDcmG3fCHx/0vg7s5XzrwKGJk2T1AKRrc3xJWBHSukzkw7ZNzpNRPRExJJsuw34J5TXnboduD572an98kwfXQ/8NPtfNy0QKaXfSymtSSltoPzvlZ+mlP4F9oymEREdEdH1zDbwGuAhfF/SNFJKB4G9EXFxNvRq4BHsGc3s7Tx7uxjYL+dE+J5eGRHxOsr35DcAX04pfbrGJakORMTXgVcC3cAh4D8CNwPfBNYBe4C3ppT6syDgc5SfSjYGvCultL0Wdat2IuJlwB3Agzy7vsfHKa8jZN/oJBFxKeWFFhso/yfPN1NK/ykiNlKe/bEMuBf4lyml8YhoBf4P5bWp+oG3pZR216Z61VpEvBL4aErpOntG08l643vZbiPwtZTSpyNiOb4vaRoRsZXywvXNwG7gXWTvU9gzOkUWNj8FbEwpDWVj/o05BwyEJEmSJEmSFhhvGZMkSZIkSVpgDIQkSZIkSZIWGAMhSZIkSZKkBcZASJIkSZIkaYExEJIkSZIkSVpgDIQkSZIkSZIWGAMhSZIkSZKkBcZASJIkSZIkaYH5/7jRQvVG/UbvAAAAAElFTkSuQmCC\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "rescale_bd_lstm_pred_ca = bd_lstm_pred_ca * max(ca_combo['JHU_cases'])\n", "rescale_y_ca = y_ca * max(ca_combo['JHU_cases'])\n", "\n", "bd_lstm_ca_mse = mean_squared_error(rescale_bd_lstm_pred_ca.flatten(), rescale_y_ca.flatten())\n", "print(f\"MSE of bilstm: {bd_lstm_ca_mse:.4f}\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "HW62aeD-G42J", "outputId": "6dafb1ff-e313-4aa3-d1d7-cd9650a04a41" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "MSE of bilstm: 0.2147\n" ] } ] }, { "cell_type": "markdown", "source": [ "Performance of CA models:\n", "\n", "* MSE of RNN: 2.0706\n", "* MSE of lstm: 1.2585\n", "* MSE of bilstm: 0.2147" ], "metadata": { "id": "N84BBx1Is3lN" } }, { "cell_type": "markdown", "source": [ "### Train Models for NY" ], "metadata": { "id": "rMprCv90TyAW" } }, { "cell_type": "code", "source": [ "# Simple RNN\n", "rnn = model_rnn(days_train, days_pred, features_ny)\n", "history_rnn = fit_model(rnn, X_ny, y_ny, val_split=0.2, epochs = 150, batch_size = 16, cb = [lcall], verbose = 0)\n", "rnn_pred_ny = predict_model(rnn, X_ny)\n", "plot_multiday_predictions(y_ny, rnn_pred_ny, max(ny_combo['JHU_cases']), skip = 5)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 957 }, "outputId": "26448acb-af5d-4372-b7d0-8ce9df113575", "id": "86dydNcUUAwz" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Model: \"sequential_3\"\n", "_________________________________________________________________\n", " Layer (type) Output Shape Param # \n", "=================================================================\n", " simple_rnn_1 (SimpleRNN) (None, 100) 54300 \n", " \n", " dense_3 (Dense) (None, 7) 707 \n", " \n", "=================================================================\n", "Total params: 55,007\n", "Trainable params: 55,007\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "epoch 0, loss 48.351192474365234\n", "epoch 20, loss 0.1269039511680603\n", "epoch 40, loss 0.04356224089860916\n", "epoch 60, loss 0.02314002998173237\n", "epoch 80, loss 0.014203010126948357\n", "epoch 100, loss 0.009618483483791351\n", "epoch 120, loss 0.010897958651185036\n", "epoch 140, loss 0.006732679437845945\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "rescale_rnn_pred_ny = rnn_pred_ny * max(ny_combo['JHU_cases'])\n", "rescale_y_ny = y_ny * max(ny_combo['JHU_cases'])\n", "\n", "rnn_ny_mse = mean_squared_error(rescale_rnn_pred_ny.flatten(), rescale_y_ny.flatten())\n", "print(f\"MSE of RNN: {rnn_ny_mse:.4f}\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "5f5da5e9-95b1-449d-ec26-63bb79ac3889", "id": "w1EvYajKUAw0" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "MSE of RNN: 0.8664\n" ] } ] }, { "cell_type": "code", "source": [ "# LSTM\n", "lstm = model_lstm(days_train, days_pred, features_ny)\n", "history_lstm = fit_model(lstm, X_ny, y_ny, val_split=0.2, epochs = 150, batch_size = 16, cb = [lcall], verbose = 0)\n", "lstm_pred_ny = predict_model(lstm, X_ny)\n", "plot_multiday_predictions(y_ny, lstm_pred_ny, max(ny_combo['JHU_cases']), skip = 5)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 957 }, "outputId": "7e11e487-5e82-4aad-f006-a80f27818999", "id": "CvI71KonUAw0" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Model: \"sequential_4\"\n", "_________________________________________________________________\n", " Layer (type) Output Shape Param # \n", "=================================================================\n", " lstm_2 (LSTM) (None, 200) 514400 \n", " \n", " dense_4 (Dense) (None, 7) 1407 \n", " \n", "=================================================================\n", "Total params: 515,807\n", "Trainable params: 515,807\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "epoch 0, loss 8.022356033325195\n", "epoch 20, loss 0.03903598710894585\n", "epoch 40, loss 0.016437100246548653\n", "epoch 60, loss 0.01366433221846819\n", "epoch 80, loss 0.007892644964158535\n", "epoch 100, loss 0.0179436132311821\n", "epoch 120, loss 0.005774795543402433\n", "epoch 140, loss 0.004703138489276171\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "rescale_lstm_pred_ny = lstm_pred_ny * max(ny_combo['JHU_cases'])\n", "rescale_y_ny = y_ny * max(ny_combo['JHU_cases'])\n", "\n", "lstm_ny_mse = mean_squared_error(rescale_lstm_pred_ny.flatten(), rescale_y_ny.flatten())\n", "print(f\"MSE of lstm: {lstm_ny_mse:.4f}\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "ePfXQKiNVrgf", "outputId": "5ad35214-c7ad-4ad5-a0e2-c6c7690a1abf" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "MSE of lstm: 0.8847\n" ] } ] }, { "cell_type": "code", "source": [ "# bidirectional LSTM\n", "bd_lstm = model_lstm_bd(days_train, days_pred, features_ny)\n", "history_bd_lstm = fit_model(bd_lstm, X_ny, y_ny, val_split=0.2, epochs = 150, batch_size = 16, cb = [lcall], verbose = 0)\n", "bd_lstm_pred_ny = predict_model(bd_lstm, X_ny)\n", "plot_multiday_predictions(y_ny, bd_lstm_pred_ny, max(ny_combo['JHU_cases']), skip = 5)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 974 }, "outputId": "30c849c2-e7a1-4c48-eb39-6791d26d18e3", "id": "YDCLHPWEUAw1" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Model: \"sequential_5\"\n", "_________________________________________________________________\n", " Layer (type) Output Shape Param # \n", "=================================================================\n", " bidirectional_1 (Bidirectio (None, 400) 1028800 \n", " nal) \n", " \n", " dense_5 (Dense) (None, 7) 2807 \n", " \n", "=================================================================\n", "Total params: 1,031,607\n", "Trainable params: 1,031,607\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "epoch 0, loss 8.896117210388184\n", "epoch 20, loss 0.05103824660181999\n", "epoch 40, loss 0.040657591074705124\n", "epoch 60, loss 0.02200501784682274\n", "epoch 80, loss 0.02281026355922222\n", "epoch 100, loss 0.00427887961268425\n", "epoch 120, loss 0.006005458999425173\n", "epoch 140, loss 0.009778871200978756\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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RERERERGRf8wzfwvZdj8Cg2JcHaVKqL4Fod8nQOYfrrl3nTbQ/sV/fFpGRgbu7u5l7+vXr8/MmTOpW7cuABdeeGFZMQjghx9+wGKxMHz48LJC0rF+n3zyCXa7nf3795OSksKwYcPK3WvEiBEsWrTolFlWrFhBYWEhN9544z96hu3bt5OUlMTIkSPLZerbty9FRUVs3LiR3r17s3LlSkaNGoVhGOUyqSAkIiIiIiIirhBYsoMD9ngC//T/qbVZ9S0IVUOBgYEsWrQIwzCIjIwkKiqqXMEkIiKiXP/09HTsdjuBgYEnvV5KSgqHDh0CIDw8vFzbX9//VUZGBkBZMepMpaenAzB48OCTtu/fvx+AQ4cO/eNMIiIiIiIiIueFaRLJbta4XejqJFVG9S0IncUIHVezWq106NDhlO3GX6qUwcHBWK1Wli9fjsVy4vrf4eHhZaN0UlNTy7X99f1fhYSEAM6iUmho6BnlP5YJYPr06bRt2/aE9vj4eMC5LtI/zSQiIiIiIiJyXhSlEmDJId+9iauTVBnVtyBUC/Tt2xe73U52djb9+/c/aZ+YmBgiIyOZO3cuAwcOLDs+e/bsv712165d8fb25r333itbCPqvPDw8KCoqKncsISGB6Oho9u7dy5gxY055/Y4dOzJv3jyeeOKJskLX6TKJiIiIiIiInA+F6RvwBhz+ia6OUmWoIFSFJSQkMHbsWEaNGsWkSZPo0KEDRUVFbNq0ie3btzNjxgzc3NyYNGkSEydOJDQ0lJ49ezJr1iy2bNnyt9cOCgpi8uTJ3H///ZSUlDB48GCKi4tZsGABU6ZMITo6mqZNmzJ37lzmzJlDvXr1iIqKIioqiueee45rr72WnJwcBg0ahIeHB7t372bOnDl88cUX+Pj4cM8999C5c2dGjhzJTTfdxMaNG3nrrbcq6ZMTEREREREROe5Iyh9EA77hLVwdpco4cR6SVCmvvfYakydP5v3332fw4MHccMMNLFiwgF69epX1mTBhAvfddx+vv/46l112GXl5eTz99NOnvfa9997LtGnTWLRoEcOGDeOWW24hKysLf39/AMaPH89FF13E6NGj6dixI9OnTwfgyiuvZO7cufzxxx9cccUVjBgxgqlTp9KuXTs8PDwA6NChA59++ilr167l0ksvZc6cOcycOfM8fEIiIiIiIiIify/n8AZy7d40jdcIoWMM0zRdnYEOHTqYq1evPmX7li1bSEzUN6220fddREREREREKsK2jztTWpxD8xs2n7B+b01mGMbvpmmedDHj044QMgzjbcMwUg3D2PinY88YhrHVMIz1hmF8aRhG0J/a7jUMY6dhGNsMwxhQMY8gIiIiIiIiInJ2gu27yHVvVKuKQadzJlPG3gUG/uXYQqCFaZqtgO3AvQCGYTQDRgHNj54z1TAMtwpLKyIiIiIiIiLyD2RkphLmloElSDNQ/uy0BSHTNH8Cjvzl2PemadqOvv0VqHf09TDgU9M0i03T3APsBDpVYF4RERERERERkTO2a6dziZrgqNYuTlK1VMSi0qOBb46+jgb2/6ntwNFjIiIiIiIiIiKV7sC+3wGIiW3v4iRVyzkVhAzDuB+wAR+dxbk3G4ax2jCM1WlpaecSQ0RERERERETkONMBBQdJzirEfvhnSvHEq04jV6eqUs66IGQYxg3AUOBq8/hWZclAzJ+61Tt67ASmaU43TbODaZodwsLCTnu/qrAbmlQefb9FRERERETkrCUvgDn1WP7d01wSuISSmKvBYnV1qirlrApChmEMBCYBl5imWfCnpnnAKMMwPA3DiAcaAyvPNaS7uzuFhYXnehmpRgoLC3F3d3d1DBEREREREamOjqwBTEbaH8LDYsO39X9dnajKOZNt5z8BVgAJhmEcMAzjJuBVwB9YaBjGH4ZhvA5gmuYm4DNgM/AtcKtpmvZzDRkeHk5ycjIFBQUaOVLDmaZJQUEBycnJhIeHuzqOiIiIiIiIVEO2I2ucX0037NGXQUBjFyeqek47Xso0zatOcvitv+n/GPDYuYT6q4CAAAAOHjxIaWlpRV5aqiB3d3ciIiLKvu8iIiIiIiIi/0R25kFCgI3NvqZNyx6ujlMlVZsJdAEBASoQiIiIiIiIiMhpWUozMU2IT+gFVi9Xx6mSKmLbeRERERERERGRKsNqz8WGGwHenq6OUmWpICQiIiIiIiIiNYrVLKDUdMcwDFdHqbJUEBIRERERERGRGsVqFlOMpor9HRWERERERERERKTmME2slFKMn6uTVGnVZlFpEREREREREZHTKs3GMKDI0MZUf0cjhERERERERESk+svbC7PCIWUhACWWOq7NU8WpICQiIiIiIiIi1d++j6E4DfuhRQDY3MNcHKhqU0FIRERERERERKo9x96ZAJSkrQHA7hnpyjhVngpCIiIiIiIiIlKt2bO2Ysle73yTs8351be+6wJVAyoIiYiIiIiIiEi1tvbn6ThMg9X5iXiTC4CbX5xrQ1VxKgiJiIiIiIiISLXmlfkzu20NSXZvX3bMOyjOdYGqARWERERERERERKTaMu024oxNpHq2xeLfsOx4QJDWEPo7KgiJiIiIiIiISLV1JGUdfpYCbHW6EBDapOx4QKAKQn/H6uoAIiIiIiIiIiJnK23vUkKAgHo98Pb0hGSwmxbcPbxdHa1KU0FIRERERERERKotR9oKjtgCaNCgDZ5uDmy/GWTagwlzdbAqTlPGRERERERERKT6yd0DayZSt2AZW0ubEeDtgaeHF2mOSHKNYFenq/I0QkhEREREREREqp9190LSTAIx2O05hm5HD1ujBuBvcXdptOpABSERERERERERqX7Sf8XEQoMNc3hgSPOyw2EXvuPCUNWHpoyJiIiIiIiISPViL4KC/WSbdajj48moTvVdnajaUUFIRERERERERKqXwz8CDv7IjeWW3g3x89QEqH9KBSERERERERERqT6yNsD2VwFYV9qW67rGujhQ9aQSmoiIiIiIiIhUD1mb4OtWZW+bJPTAx0OljbOhEUIiIiIiFSVvD+TuhPz9sPQS2PQ4OEpdnUpERKTmyNkMwKLSEQBc0Km3K9NUayoIiYiIiPxTGavhl2vBll/++LIR8FVjWNAcUr6DdffDt+0heb5rcoqIiNQ0eXsBOJxTSAk+eAXGuTROdaaCkIiIiMg/lfQ57P0Q1vzn+DGHDbI3QZ22ENoFBv0BPb8EWyEsvRgOLXJdXhERkZoifw/FliDqe6Rg828KhuHqRNWWCkIiIiIi/1S2c7g6O6dD8gLn67zdzulhCXdC3+8hMBFiLoXB68CwwqHFrssrIiJSU+Tt4ZA9kmSzAd6xQ12dplrTyksiIiIiZ8pe7Czu5GyGesMhdxv8PgEi+0POVmefgKblz7H6QFBLOLKq8vOKiIjUMI68PWzNDWVz3YcxWrVwdZxqTSOERERERM7EkTXwmR98anWOBqrTBto+B3k7nVvflhWEEk48N6Sjc90h06zczCIiIjWJ6YC8vewtjqBPQpir01R7KgiJiIiInIk9H4DhRmrE9c73gc0gaiBEXAjbXnQWhLwiwSPoxHODO0JplnMHMhERETk7hYewmMXsL4kgITLA1WmqPRWERERERE7HdMD+L8gIuIAnVzt/I/nuJh8cDhMi+0HBfsjadOJ0sWNCOjq/HlldSYFFRERqoPw9ABy2R1I3wMvFYao/FYRERERETidjFRQc4NktLehY5xB23HjspxKmzNuEGZDo7JOz5dQFocDm4OblvI6IiIicnaNbzht+DbBYtLvYuVJBSEREROR09ryPHXe+yezIsAbZWAIac2PPBD74dR+zd/k7+9hyT10Qslid29FrYWkREZGzd3SEkG9wIxcHqRlUEBIRERExTUj6ApK/PrEt6XPYMZUFORfwWMK3+KR/j1GnDfcOakrPxqE88VMxpuHu7Hu0IGSebPHorh9An5NcX0RERE4vZxuOXe+QVBJBbHiwq9PUCCoIiYiISO1mL4bFF8LPV8DykVCccbwtbzesuJ5Mn47MzujKELd3IGYEtH0OwzC4Z2BT0gscpBnxENaLHIKY8NEvJDzwLRM/X8eutLzj1/JvCO7+lf98IiIi1Z2jFBb1wVGSw4SkiTQI83N1ohpBBSERERGp3Q5+A4eXQMIEsOXDtleOt62+Eww3Hst+iC1GD2yDNkH3j8EnCoAW0YEMbVWXVZmRlOTsJnPRSK7IH0+/ZuHMX3+Qfs8vZdLHS8lbPr58oUlERETOXM5WKDrEhoiHWFOQSMMwX1cnqhFUEBIREZHabd+n4BkKbZ+B0G6w6VHI2QHJC+DgfIoTH2TeDoPBLetirdPshNMfHNqMfbZYPIoPEGtNIrjtRKZe3Z7l9/RlXO+GbN29Cc+908n+eVzlP5uIiEhNcGQtAEvT6gHQIFQjhCqCCkIiIiJSe9nyIfkrHPUu59Gvt/N2xghM0+6cPrb5KfCN43v7SEpsDga1qHvSS4QHeNGxdXcAkj26kNjhagBC/DyZNLApr467gVdTRxF4+HPY/+XxE/fNhJ9HgsN23h9TRESkOrMfWUuRw5OXVxkk1g3A28PN1ZFqBBWEREREpPZKng/2Ap7d1oYZP+/hsQ2JHCiNgqx1kLYMmtzON5vSCfXzpH1snVNepmPHSymp05Xofm+CUX4b3PohPvzmfTN7bQ1gwxTnQdOEDQ87F6ze9eb5fEIpPuKcEigiItVWcdoathbF8p+LEvlyfDdXx6kxVBASERGR2it1GTY3f17fXJdJAxOYe2t3XjhyKwAOw8om78tYsjWNAc0jcLMYp76OdwQeg36BoBYnbe7WuC7vpfaDrA2QvQUyVkLOFnAPgHUPOIsWcn5smAKLLwJ7iauTiIjI2TBNrDnr2VTYgAuahuPlrtFBFUUFIZE/K8lyLiaa/purk4iISGXI2UKqEY9hsXJ151haRAdy57W3s7E4kdcPX8rFb2ykjo87N/WIP6fb9GwcyoKs7pgYzlFBu9/BdPPG1uVjzJJMchZezI6UzAp6KCljmnDwazBtUJzu6jQiInI2CvbjYc9iS1EDGmp3sQqlgpDIMYd+gDkx8Psd8MckV6cREZHKkLOVTXlRtK9fh0BvdwBiQ/2J+9d6PDs8zcgOMcy/o+c5b2/bql4QRdYIdphtMbe/SunOd/g6qzsXzUjGNCEg5xd+//J6krMKK+Kp5JjcnZC32/m6OM21WURE5Ozs/QiAEq9YjQ6qYCoIiRwT3A7qj4SYEc6h/BpaLiJSs5XmQOFB1mRG0KdpWLkmP08rN/WI58nLWhHs63HOt3KzGFzbNZZ3k7tiFKexNKcNKwL+y6BuvfjNMgIHFqyUcMfHq7HZHed8Pzkq5Zvjr1UQEhGpnlIWYprgqNPO1UlqHBWERI7xqANd3oLYf4G9CDLXujqRiIicTznbANhZHEOfJuHn/XYTL0rAv/k4huyaSmGX2Tx61YXcPaApXYe9hMXNg+7Rdtbvz2Dx1tTznqXWOPgtuPk4XxfpcxURqY4cuTux4UZURH1XR6lxVBAS+asw59bBpP3s2hwiInLuUn+CwkMnb8veAkC6JZ7Euv7nPYphGNw7pDmz772Zi9tEH2/wiYY2T1E3fxEfNXqYr37f5lz7xlF63jPVaKYJ6cux1R3ifF+kEUIiItVS0WEybf4kRJz/n9W1jQpCIn/lHQl+DcsXhOwlsOMN58ghERGpHnK2ww8XwOrbT9G+FZvpRmhkIobxNzuIVTBP60nWP0i4A7q+TwfvDVxXfCul3/eGOTEcOrSTR77azLDXfubpNx6i6PNoWP9gpWWt1kqOQGkOi9PisJkW7BohJCJS/ZTmY5gl7C+JJCFSC0pXNBWERI7J3we/jYHCwxDWw1kQOrYQ5e63YdVY584wIiJSPWx4CEwHHJjj/Lv9L2xZW9hbXJcW9UIrP9vJxF/LoeZv0dZnC8VpaykqzGbvvOEsXL2Sa3zfY5L/w7iVHCZv6zvO0S/y93J3AfBdkh+ZtgCK8078b0BERFzMdDh3eT7w1fFj+UlweInzZ93hRRjA1uKGxIX4uixmTWV1dQCRKsFhh1+uhbRl4B4IsaNg7wcwryG0eRJ2ve3sl/YLxF/r2qwiInJ6meth3ya2UKkAACAASURBVKcQcxnsnwV73oNm5XeQLDmyiV3F9WgdE+iikCeKan09b+zxZUWylX5e33CN33SWJdwIGNgjB/HWrkTG+j7vXP8osKmr41ZtR3+psyErhIyAQDwLVBASEalyHDbnL98LUyBsE3iGwKrxcHABhHSGwGYAHPToiNVN41kqmj5REYDtL0PaMkzfeEq3vcFvuU1g2D6IuRz++C/kbgerH6T/cvycwkPaiUxExNVME/Z+Cvn7yx/f9iJg8uHuGA64d8Tc8Xr5v7OL0vAu2smmwoa0rhdUqZFP55ZLL+fdWy/lmmueguhhYFjBPQC3ru9Qp/FwADJ2zHFxymog31kQSiqJ5Ig9EFNrCImIVD1uHtDlPec031W3OtfPS/0RQrpA5hrMPR8CUBLa37U5aygVhERME7ZPxQzvzbuWp3E381i7+BlM72jo9iFEXAD+TSBhAmRtgJJsKD4CXzWGzU+6Or2ISM1Wkg0Hvzl1+9YX4JernH+OTaNy2ClJ/gGAkW6v8vbe1hj5e7Bveur4eSnfYWCy1dKDOhWwrfx54RkEvefAJbth8HrwjqBbq3ZsK6pP4b6vTn9+bZa5HnPHG2TaA2kQGc4RWyCWEhWERESqpDqtoPn9kDQTdr4Jtnxodjc0GodhllLicKNxTIyrU9ZIKgiJZG2AvJ1ssA7h4eXerCnpgHtJCmuSMsHNE/r+AIPWQkRvwHROO9j3Cdjy4MBcV6cXEalesreCrfCMuv6xP4v83/4DPw527hb2VwfmwdqJmH6NIG05JH3mPH5wPh7FSfwvdQIW32hGNLPyVVZPzI3/g5wdAJj7vyTDHoRXeMeKerLzxzcGfJ1b7cYE+7DB0Y2IopVgK3BxsCrs8GKMgiT2F4dxVef6ZNgCcC/NcHUqERE5lSa3g5sX/DEJMDDDekGLBzAxOGIPpGW9qjO9uyZRQUhk/yxMw8KUNY1IiPCn0cifeDZ9LF/8fsDZbhhg9YHCg873a++B7a86X2euAe1aIiJyZvKT4OsW8F0H5xo/p5CZ/Bt/fNCNqR88i3vSB86D66cAUHJkI5lfJDJv0Re8vSqXrbbmdP79UVKtibD2bijNoWDdEySXhBHU4masg1bTYvBUtkU9AqadPateg/2z4cBsNhXE06953cp48gplrdsXd8NG9oFlro5SdaX+hAM3dhXHMKRlXbIdQXiZ2c6pCCIi4jqm4+THPYOh/pVgyyfF0pSL39xCqXsIb/t8xLikKTQO1w5j54MKQiL7Z5Hq2Ym1qR7cPSCBAB9vBrWMZP66FHKLjv7DMW25cwcyN28wSyFnK8Rd42xLWei67CIi1Unaz2DaKc09QOkPA046wsWWvgb3H/vTxm0F0+Mew4Kdb0pHQeqPmIcWs+27O6lTspW4vfcSfuhNmlo38kPjm5mdkohZcAAW9sAn+zempV/NNV0bglcoGAZ3DO3FxtJWcGAO9s3PYwAtvXcxoLFX5X8O56hhs4twmFC87lE48rur41QdpTkwNx52TIfDSzBMO8XecQT7elBsPbqTXLFGCYmIuMzWl5x/TxceKnd4Z2oumXsXQ3E6AF+nJbIxOYc3lu7i873RmMHttaD0eaJPVWq3rE2QvYmPD3agbf0gLkwMB+DGbvHkFtuY/pNzQcoi32as8xjB/x15kVnGPdi9onm74DZs7iGQ8p0rn0BEpNrI2reYIocHt+6+DfeSQ+xc9lj5DrYCchcNJ6fUkyUxsyGkE7vrjGbC1ivIMkPYtPRpWpqLOWhtTSufnQwNXAqNxuJdfwDp7i35PHsoZG1geV4rfBLHlFsbyMNqIbDR5cS774P0FWTZ/Ai05uK54b+V/Cmcu+ax9dlZEk94/s/6GfRnBcmQvxd+vx1KszAMCAl37sTmcA9x9inWOkIiIi5RkgUbpkBBEqz5T9nhjJxcfv7sRgKX98OWsZ5fA+/ljcPDSIjw59nvt7PtcC7XdIl1YfCaTdvOS+22530cWPkwpQtPX9MIwzAAaFkvkItbR/Hmst0MaxPFs9/t5ttN19A6JojZ66KZSDdMM536jdpwofENhr3Yud6QiIic3MFvCDjwDhaLg8l9fFi5vTtND7zE1n1jaBodBkfWkLHtM0IcSXzi9Sbjew4HhtMEeMH6DkHpGQTZvyOPOkRe8iMsvxw8gqDja1gNCyMTcrlq6vccKfbky/xhfHZN4xMixLe5GpIewM1w8O/9j/L6YIPQ+L6V/UmcM4vFIMWzM43MPRiZ6zFcHaiqsOU7vzqO7ybXsEErAEwv5y980E5jIiKusfVFKM1mj+9Q4vd94ty0J6QjBcse4IbgP/g8ezAv7bmZfIc38VG+PDeyDfd8sZ6xfRrQt2mEq9PXWCoISe3lsGPu/YiVxR0JDY3hgoTwcs13X5TAws2H6Pe8cyHTyUObcVOPeJZsS2XW7wfoHB/Muz/0oZ/PD7DvU2hwvSueQkSkWihY/QDeONjuOZAmnSYQEDeAgB87Mu+Hp0ho7sDYNZ1gE5YVdOSqf113/MTSHAYXTKHAqzE5bd8hMjwGvIKg70LnGm9HNYnw556hnZg0y4sHhiQS6ON+Ygi/OKjTBrM0j0/vuQ2r1e38P/h54hXdG0vypxSnrqLcryNs+ZC2AtKWQdQgCO3iqoiVz358CmKmI5gPc//FbQkXAmD1CYNStO6fiIgr2Iso2vwSq3Lb8sne5jzU2kH4xocB8Lf58ZHnU7QdNpZWS3aw43Aet/dtTHyoL5+N7eri4DWfCkJSe6UuwShM5v1D1zJ+UEMslvK/Y60f4sN3E3rxzcZD+Hi4cV3XOAAuSAgvKx5tSr6YHTnTabDxSdzqjQAP/8p+ChGRqi9nGz55a8CAeu3HgdWXwKgOHPbpzoDST7HvzGN/aQzxHvsJbjCw/DbwW1+AggP49F+OT9if/mFonDguZmTHGDrGBxMX4nPqLN0/wzDt1boYBNCo+SBIBveifc6Fki1HC2BbX4D1k8Hi5Sx+/LUgZC+GPR9AaGcIaln5wc+noyOE8hrcxZQfrTTsMAbDzfm5uPvWgyww8/doRJWISCWb8ctBPtnyBE81mcULfi9w9Y4vmHnNI3zxyxqm/BrGD5MGEB3kzdSr27s6aq2jNYSk1rLtmUm+w4dDfv24uFXUSfvEhvgytnfDsmLQX13RMYZFOZ1wy9sKO147j2lFRKqvzE0zcJjO/w33qduj7HhY+3sIc88CTIrcwijxiqP5BVPKn9zsv9Dnawg7s98Sxof6lk3/PamAxhDY9J8+QpUTEhpLrsMPC3bI3Xm84ZBzowMTk/ydM7nxnRUcyT8+hQp7oXPtho1/Wb+pJjhaEPo670LmZfXm0rbHf7b7BYSxuzgK2+EVrkonIlLrrNp7hKvfWMrqZTPo2CSe9tafORx8BasPWXh9QyBPrYujd2I9ooO8XR211lJBSGon00FJ0lyW5LRj0pA2J4wOOlNtY+owr/By55vk+RUYUESk5jD3fsy6wibkNX3Eua3sUZZ6QyCoNdZGo0l034hH7HCw/GXkjpsnRA2s5MTVQ7pbEwDsmeudB2wFkL4CR9QQ7HYbvmRipCzk8mm/cDCr0NnHIwiajIf9n0PaL/DHf2HTk5CzzUVPUYGO7lr3wco0OsUFExviW9YU6ufBmvxEjCO/gmm6KqGISK3y8Feb6GObwetxT/CE9w0Y9iJiutxD/2YRPPPdNo7kl2jBaBdTQUhqp4xV+NjTWGXrSZcGIWd9GYvFoENiC4od7pjZGyswoIhIzWDPTybYPEiS38X4tZtcvtGwwKC1ENnfuRBwvWGuCVlNlQZ3xTQhff9K54G05eAo5ZPMS7gzaSIm8Hrj13AUpPDDp2PIWz0FSjIhYQIY7rCwB2x5BtbdCytucOWjVAhHaR4AOTZPnrys/HS4UD9P1hQ0xVqSBnm7XRFPRKRWKSyxk5p6gOvrzIaABIyiwxBxIUadlrx4ZRtaRAfQNNKf7g1DXR21VlNBSGqn5HnYTQuZAee+u8zAFpEcKAnHKM2GwsMVEE5EpOY4tGcZAIH1up+8g2FAaRYEJEDYKfrISUXEdccwwJb6i/PA4cU4sPLoyhDCml+LEdoFj9JUljS6lqv9P8Zv+yPY5zaEkiOQcCf4xMBFv0HLhyDjNyhKd+nznKus3GwA/t2nOQ3C/Mq1HSsIAbD3I+fXDf+DTY8f353MNOFoUem0ClPg0KKKiC0iUiNtPJjNv0M/x50i6DkHLloB3T4EwNfTypzx3Zk1rttZz9SQiqGCkNQu9mLYOQNz55uszG9B/box53zJjnHBrC9KdL45unaDiIg4ZR/4BZtpoX6jbqfu1GgMDNkCFu118U8ERncGIKhoM5gmpcnf80dhAk3qRXL/kETo8y10fB0j4Ta2tf2RUfuncaQQUub1Z8yqXoxK/YTr5jo47HsBYJ7dzzB7Mex6C9Y/CBmrT98/adbx6Wn24n9+v79hK8kFIKzOiSN/IwO92FUSiwMLbH4K9n4KGx6EdffDnBhYMhiWXgxLBjgX6f47216GeQ1gcX84Nl1PRETK+WNfJpcELaUk8mLn2n2hncE7sqzd6mbB11M/911NBSGpXQ7MhZVjKHSP5rGU0TSLCjjnS3pYLaT59XS+SfrC+fV0/5gUEakl3LNWs6M4nrjwsL/v+HcLQcvJ+cZTghe+Rg4FOz/BPXsNi3M78cLI1ri7WcAjEBrfAu1fJLFZL57+93XM8X+NEEsGT/ncQEvLb6zYlc4bG4PAMwQOfnPy++x4A+Y3O/ko2N1vw2//ho3/g58vL1vH56Qy1zv7fN0SFrSEmd6QvrJiPgvAXpJHscMdXy+PE9oCvd0Z1rY+fxQ0wbQXwC9XgW8c9P0B6l0K2Zvg4AJI/wVWjYesTZCyENJ/LX+h0jz4414IProTzkGtHygicjJpB1YR6X4Ez9hLXB1F/oYKQlK7xIyArh/wS+CDFDi8aFb33AtCABGxzt1vzOR5sO0V+DIKll0G9qIKub6ISLVkmtS1bSDF2kJDws8Hw6DUvxWmCeaq8ThMg4iWN54wXeqY+iE+jBl+FR6DfiG4TgT3Bz/Fxc0DmbX2EPaIiyDlW+f0qdI8yFjlnEK16QlYNRZytsCh70+86O53ndvXNxoL+ftg7aQT++Ttca5dtPcjMKwQ+y/n4uKGGxyYXWEfh8NWQKHDEx8Pt5O233ZBIyYe+D8OO+oD8HV+f17aGENJhxkwdCt7w8c7RxDtmgFft4AlF8H3XZ0/1485MBfsBdD6CQjuoA0lREROoU7W0Wm1dbUxRFWmgpDULrvehBXX0i95BLdHzKJ+sE+FXLZVYieKHVZKLP7w+x3Of+Tunw3fdXL+JvFM1yQQEalBijO34WfJoySgvauj1Fi+if/moCMaX7L5vag1l/f8m6l5xwS3g4Groe9CLuuUQHZhKasc/aE4Db6Mhlmh8EN/ipZeBevug9hRmB514PCP5a+TvQUyVkL8DTgOzAHA3PEa7Jt5vI+9CBb1hp8uhX0fQ90B0PVd6LcUwrpBykmKTMeYjuNft74I2Zv/9rHM0jwKHF74eJx8CkJcqC8Xde5Bl42v8e+9D3Dfzst4YdF2hr22nIXbcxjw41B6b32DjY4u2Dq+Bf2WOUcP/X6Hc5RUUZqzqOVT37neVdQQ5wiiar72kohIRUvLLaad+6+kuzcHnyhXx5G/oYKQ1B4Zq+D3O6HuAB4reJYf3W6osN9Yx4UFsMfWgO2F9UiuMwoGroHuM8HiBZufhG0vVch9RESqhaPbeqdvfh8Av5herkxTszUaw/6I2wEojBqF9ylGx5zAzQuCWtK1QQixIT48tzkB+i+HqIuh8TgOBI/C6+BMZmRdz4CVY1mc0QTb/nmQ+tPxa+x6Cww3fizuT/uN7zBy55MkFUfiWDHauZ6QvcQ57arNk87zCg5A3NXHz687ADLXli802Usga6Oz74rr4LebYc1/YM1d8OtNf7tlvGnLp9DhdcoRQgD/HdSUdVMGcNcNE1l9f39mXNeBlOxCxry/Gj9PK8N79mLoxgeYldUPwntA908gpJOzKDQ7AlK+pSj6SvJLHBA9FDAh5RRT7UREaqk9Bw/S3ncLBaEXuTqKnIYKQlJ7/HEveIZzuMXbvLsnkYiYthV2acMwsLd+mtdy7qD70mv4cH0pxI6EgSuhTgfYMRX2fVZh9xMRqbJSFsKXdeH3CYQlvci32d1p1rSrq1PVaO16387a8P/Rpe8d//hci8Xg2i6xrNqbycbiRChKJsseiPfBmawrbsXP3uMI9vVkVX5LrKXpzp+lAMlfw7YX2B8wjBs+TSK6ji9jR97A9QdeINMeAMuvgpVj4KdLwOoP7V+mKLADQ7+swys/7MA0TYjo77zWmv8cD7T2bucaQ3NioDjDuUbRtpco9WsKGb/C4SWnfBbDVkCh6XnKEULHBHq70zwqEKubhX7NIvjqth4MaVmXV//Vjrv6NaZBmC8zV+13dnbzgq4fAAYOjxAyjSjGLgpkwIs/sa2kMXgEly+SHWOazpFS+fv+wXdDRMTFitJh1zvH/w5b98BZXabg4DKshgOvev0qOKBUNBWEpHawF0HazxB7JW+vzsbuMLm2S2yF3qJ522G8etsY+jYN58G5G/lmQwpk/gHZG6DwIKy+9fjwdxGRmmjjY/DjIHDYYNtLmKaNJd4TCfY9cZFfqTgenj607fcAHp7eZ3X+FR1i8PFw48VvVrNiXzFBOx8mxJpFUPeXePfGznxycxf8Yo/+ljf9F9jzASwfRal/Ky5ffS3t6gcxa1w3+jaN4OLObRm/+07MvF2wxzlCjINfk+7WkGUH/UnLPMJzC7dz35cbyPJu6Sy4ZK47vmD1kdXONYlCuzqnY/X9gdzmz9Fl9ePkGWGw6bFTPodhL6Dgb9YQOpWYYB9eu7odXRuGYBgGozrGsCYpi52pzl3LCGjCzsZvsC03GE97Oh3jwyixObj8jV8pDWzrzPxntkJYPsr5Z/2D/yiLiIhL7ZgGv42GnK3OYv2mxyDpc8je6hy5eYasR37FbloIqd/zPIaVinDagpBhGG8bhpFqGMbGPx0LNgxjoWEYO45+rXP0uGEYxsuGYew0DGO9YRjtzmd4kTOWvgIcxRQG9+bj35IY1LIuMRW0ftCfWd0svHJVW1rHBDH+4zVMXeuFGXOFs7E4HY6sqfB7iohUCQ4bjq0vgWknt9VLbG/4Bnfsu5sebTu5OpmcRqC3O5e3r8eiXSVMTP0fC8I/5lCLd4lt0qesz9BeA8m0+ePADVZch+nuzz1pj5Bj8+L5kW3wtDqLMKO7x7PNbMf0vNuwNbodoi/BPPgN+3/5H209/+DtMf24pXcDPl21n97P/kRG9DjAAQu7O4tCOVsgtDt0eQfshbDtJV5MGkBGiQez8i+Hw4udO4CdhMVRSKHDC2/3f1YQ+qsR7ephtRi8+8teAOatO8jg2eGMTX+dbT2TuXXkTUy/rgO5RTZ22ps6p7gd20TCXgzLhjv/B8o7yvnvDxGR6iLj6M6PacsxC1MAMFfcCAuawbIrzvgywYVr2GOLx83T/3yklAp0JiOE3gX+ujT4f4EfTNNsDPxw9D3AIKDx0T83A9MqJqbIOTq0GAw3pm+JIrfIxs09G5y3W/l6WvlkTBcubhXF09/v4rqtt5HnlYAJcPDr83ZfERFXMve8j6UkjXy7J3t/msLQefVYXtyL/s0iXB1NzsCEfk14YEgi30zoyZB+VxHZ6vpy7XFh/qxyuxRMO6abLz9HvcPsbRYmDkggLtS3rF8dXw9eGNmGJ3YPYPzW60j1vxCjYB9trb9yKOImmseEc++gRL6+oyeGAf+37TJw84WSbCg54tyNLDCRTLd4Piq8CQ58SfbW9/CwWnh1X09MiwfsfOOkz+DmKKDE9Drn9QFD/Ty5qlN9Pvw1ids/Wcsdn6ylTf0g5t7anbaxIWBxo3W9QCIDvFiaVh9MG2Sud568ahykfAedZ0DCHZC7Q4tOi0j1YJpwZJXzddJMDEyW57YitdibIv82zmm7+UlncB0HsWwk2a31+c0rFeK0BSHTNH8Cjvzl8DDgvaOv3wMu/dPx902nX4EgwzDqVlRYkbN2eDFFAW159edURrSNpnVM0Hm9nZe7Gy+NasNjw1uwau8Rbtl8LcmOBioIiUjNkbneOXw8ZwdseY7S1RNZV9CYRb6Taemzi8mtt/Lg0GZ4neNoDakcwb4e/LtnAwK83E/ZJ6rjREwMlnMp/1lkoXlUANd3PXH69QVNw7lvcFOWbEtl2JcBAJSYnjTvfXxL+sS6AdzRtzE/7sjicEB/MAwoTAZg0sJSBr+8jP/tGsTmkuZMjpzGI/3rkFYaQHqdS2DPe2DLP+G+VrOAUuPsps391QNDE2kfW4ev1h1kWJsoPripE0E+x6c+GoZBv2bhfL77aMFz53TI2gC734HESdBwNIR0cbZl/FohmUREzquCA1DknL5rHnKu17Y7+Ab67PiAl4secvbZP9tZwP+bZTAcWZvxteST49fhfCeWCnC2awhFmKaZcvT1IeDYr/+igf1/6nfg6DER1ynNgYyVLM5sgZe7G/cOTqyU2xqGwdWdY/n9gf4ktB7OZ6ldMTNWQlFqpdxfROS8ObIWvmntXPh3fhNYO5E/cusxo/QBhl4yCRrfyrUDBjKyY4yrk0oFatGkFSttfWhRPBcfSyFPX94Kq9vJ/yl5c6+GLJnYhzEDepMdeAHWxDswvMLK9bmmSyzxob48tznRueX9zukArMuJIj7Ul/dGdyVxxGz84i9mcOv6GAb8aB/h/Lm+/GrYWn4HT6tZRKlRMdPBPa1uvHV9B964tj0v/GlK3J/1bxbJrsIQ7IYH7H4Lll0G7gHQ/OjA+ZAOYLhp2piIVA9HRwcVBPXAwA7ABb1GMqJdNDPWuWMLaAVbn8c+K5KcxaNOuetj1v6jC+2HaEOJ6uCcF5U2TdMETr0H6CkYhnGzYRirDcNYnZaWdq4xRE4t6QswbczY05wbu8UR5u9Zqbf39bRybddYFuV0xsCEA3Mr9f4iIhUu+SvA4Neg+3kw5Q4u3DaNNz3e5r9XXYGb1R06vgqBzVydUs6D6G4PszZsCgsmXEjzqMC/7Vuvjg+je8QTOGQxlnZPn9DuYbXw/uhObKQnBQ5PSPqcXLsP3Vq05OMxXejcIAQjoAluPT4mICiKppEBzD0YD1GD4eB85w5kf76eWYjd4lVhzxrk48GA5pGnnILWpUEw/p7u7DDbgpuPc3pYwp3gUcfZweoLQa2di2OLiFQlJyvmZKzCgZVHNjinemU7AqkXEc0N3eIosTn4qag3FOwno8SLgMOfs3De/7N33+FRlen/x99nWia990J6QkkIBEILVaVXZRF7wYJ97bvq6qqrfvW3ll177xV7BQUpIr13Qkghvfcyycyc3x8HQVZQhJCThPt1XVxJzpyZfAZIZuae57nvB456022lq6ixe+If2vdU3gPRQU60IFT2y1awgx9/WfJQBPz67cCIg8d+Q1XVl1RVHaSq6qDAwMCjnSJEx8h5g0pDDNtaenNBB08WO14xAe4ofv0pdkTAgaOMn69cB5+FwafBkPVs5wcUQog/I/8DQOWrXU1kec7lySvn8vLFgwj36ZjtOqLrikoYydhJt+Hh2jErcSL93HhkzjAW1w8BILs1krQo36OeOyzWn3W5NRTEPKy9mKnfc/hFjapioRWHoeMHRhyLi8nIzAHhPF84FtXZrh10Pfw0WFVVCByhrRCy/W/3BSGE0Mm2f8KXMVrPtl+rWk+OPZadqrayp8pdmxCWEOzJ1NRQrt04mtsKbsTLZKMFd4bWP8q6XbthzeWwcg40ay/7rXXr2dycREygR2feK3GCTrQg9CXwS7fBS4AvfnX84oPTxoYCdb/aWiZE52vIhoqfeKdsDJNSwgj26rh3Dv+sqanhfFY1DLVs6ZENJlWV+tU3UdPYSnGDQtm2V3TLKIQQR2Wrgv2vauPk6/ZA/W5aDb58UpXJ3yf1JjXi1PZlEz1bSrg3y1vPAGCfLZIBkUcvCM0fHYuL2cAdi1pQfQeAs02b4AngtGFQnDgN7ke97qkyNyOSL6ozeS9iPWS8BJEzUVWVzzcXMfSRJSzd36xNS9vzZKfmEkKIo8p+BXbcD035kPfe4eOtlajlK1hS049pw4bg6HMPMaPuP3Tx0+cN4OmLMvHpezUMfweryYiLwU7Qhila77TCL+HbFNTa3Xi3ZdHHNY9ga5sOd1D8Wcczdv59YDWQpChKoaIo84D/A85SFGUfcObBrwG+BXKAbOBl4NpTklqI45X1HE4MvF8xmnmZMbpGmZoayre1mSiqAwo+OXQ8Z+uHeDWs4bX6S1hhG4efbQd222+bZQohhG7WXwNrr9D+LJsCwDN11xEdHEhqxO9vGxLijxgMCpbISexqiWFTWwaRfkdfaRbkZeXvk3qzOqeKb0rjtIMli7SPB5tMq8bOXaXWN8yb/hHePLOykoWtU2kz+XPvFzv564dbMBsNLD9wsPfQnidllZAQQl/tjbDpFgg+A3zTIPtlKFuu9WPLfx9FbefTmnFMSgnDmPYgiv/AQ1dVFIWz+gRzz9Q+WGPORpm8mSK/ubiptXxsvIcvgz+FthrWLrwHRQE3N3cMLvL8oDsw/dEJqqqed4yLzjjKuSpw3cmGEqJDNOxHzXqGr+rPIim2N2mneLLYH4n0c8McOJD97QnEbfsHhE8DeyM+O66nETcuOP8BSnZ/ijnvfTZuX0z6oBm65hVCnOacDsh9Axw2OLCACmMCgblvgmKk3eDBc7mDuW96FIpyciO+hQAY3TuCye88zbjkoN/9PzV3cCTtDiffrEpnathHULIQYi4EezMAqqlzVwgB3DO1D7ct2Mr8dzZhMRloszu5alQsd05M5oUvaqDlJXA0Qf77kChPk4XoEE47HFgAkWeDsXP7g3Zb+R+AvQFSYWNFXwAAIABJREFUH4DarbD+WlgyBrx6g9GV/fYEXAL6E+l3HFtvPWKJnvgm//5+L88u3Q+oxCYm09f8HRjBs/eVp/reiA7yhwUhIbqtLXdix8y/Ci/g+Svi9U4DwNTUMK5afAs/9LkNw9fJYG/AzwClphRCfDzwT5sEeXBgrxSEhBA6K/1eWxEElDtDGbX9EW6L/xlL4CA+2FzNiIRg5mbIFDHRMTITAvGymhge5/+75xkMCpcMj8akTof8O2krX4sFDq0QUnQoCA2O9mPJLaNZureCpXvLSQr25OJhvVAUhXPGTqL6Sy+qXdOJT5CF8+I0d+AT8EkFr4STv62iL2HV+ZB4PQx6+uRv7/fse1FrYp+5ANyjTu33OpWyXwLvfhAwDNV4sL+PYkFxj4aS73in7EomZ4Qe980pisLtE5IZnRiEze6gr2M+yqa/ogJK3LxTchdExzvpKWNCdEmNeVDwCZ80nUNoSAyDov30TgRoBaGctkg+d/0/CBpJsdtYABrS3wFFwewWRKUSjWfDeppsdn3DCiFObyU/gGJiXcSLzN13H+NTY3lk/5n8c7U3UbHDeOmiQUcdxS3EifBwMfHTneO4bMTxbe8e168XTQ4rxuY8baWA45eCUOc1lf41k9HAWX2CeXhWCpcMjz60yinEx40cQzpuzbuxO//0UF4heo62Wvh5Dmz92/Gd31KqPZ8/BnvxYu2TrGe0/jXH4mzXhrecqLpdsPEmqFoHS8ZCc/GJ35ZeGvbD6ku1sfLxV4Gi8GmuH2ftfZbt9jTUup3s8LiY96snMLnf8ReEfpER48fIhECUqHMBUNwiwDWkg++EOFWkICR6ppzXUVH4b/5YZg0I1zvNISHeVianhPK3tXFk9/kAZ1MB2219iI9NOXROu98wBrrtZlO+9BoQQuikYT9kvwiqnU835OAR2Jcnz03jh5tHsf7uM3nhonRcLVIMEh3L29WM8Rgj3v9XqLcrVQRjxA6123C2aQUhg8XzVEY8IW4R4wgzl7J2+0a9owihqVgNG28B1fn75zXsh/qs47vNtlptJU1z4dEvL1umfb/ihWBv+ePbW3UhLBqkFYaOorngB1Y29KdSiYY9jx/7dvY+Dd8POXauP7L2SjB7wuivtCxr5x19ZDtA8SLIeePEvs+ptO5qbXtd/FU4Yi5nV3E9//pmF2VKHNN33suPSeu4p+Aq4sOCiPI/iaK6NQCSb4G0f3dcdnHKSUFI9DxOB+S8Tp5pOGWOYKamhumd6Aj/nNYXNxcj9761gAglmwOeM47ol+DXawx+pnr2ZssTRyHEKVT8Hez5L/x8HtTuOPKydVejOppZ1jKKRY1jefq8ARgNCrGBHvh7SK8G0TU0uw+kyu5FuakPbW0NABgtnb9l7I8kpM4EIHrHubDhJu3FWXu9zqnEaW3rXbD3SSj8/OiXO+2wYiZ8FQ8LB0LN1j++ze0PwPr58EUvyP9I28a5/rrDq3xKD67ocTQf/vxY2mpwli3TJlz+UoBpq4W8D7QVP83FeLVls6whnU/LB+KsWHOoj9ghqqr9vP2yoqd0ydG/17GKO6Blr1xFe9Id5FvHQtr/aX3Lct88xt/BvbDlOFdAdRZHK1SspKXXFVy8Yx6p//qJyf/9iaY2B+9fOZTYAHeueWcTWwpqmZzy51cHHcFggoGPQ/S5HZNddAopCImep3QxNBfwetk4MuMDCPTsWi9eAj1deOrcNOweydzb+hqJQ6464nKXsNEAtBUv1yOeEKKnU1XYcAMsmwybbtKaTC4Ze7go1FoBZUtRgKeLpvL0een08u96L7KF8Arph7+pns05hbS1NgJg7oIFIbNfP77yepp6m4pz/6vaZJ/Nd+odS5yu6nZD+TJAge33H32VUPlyKPwCwqaBYoLl06Gl7Ni3aW/SRo+HTQa3SMh7Bw58DPue03rRqSqULdamW5m9ofCz343YVvANBhx8VjMGir/V/ux6FHXV+VS8G8b+pXcA4Agcx05HOga1DXXhIK1Y9Ivd/w+y/gtZ/wGL/2+LUK3lWuHqm75asekXtTsO/52UfAfAC9m9Gf/kCspD5kHQKFg3H7Ke1wpnv2hvhOqN0FoGbXW/e/86VeUacNpozfucFVkVnJMewb//0p8lt4ymX7g3r1wyiEtHRDMlJZTZ6RF6pxU6kIKQ6Hnco2iOns8HxQMZlRiod5qjGpMUxEfzh/PA5ZeREBl95IWeiTTjw3A+o6V8ky75hBA9WP0ereeCZ6L2tckDMGjNOZ0ObVk5TlpVF+w+6YyI//0mv0LoJTB8AAAVB1bRbtNWCJm64JYxgCGjr2B6zrM8YF0DSX+F7BegfMUfb9kRoqNlvwgGs7aSo3YbFH3123MKPgGjm7ZVqr0e2hug4Xe2juW9B+21VPa6FYLHQeUqbaqeYoCyJbDlDqjfqxWMwqZo3/No//ebDkD1Zqr2fEJFuw93Ft5EgxKoPWb1uweb4kWgsRKXih+otXvQP2UUE8bMxq4aUOp3az9TTQe0fjlb/w6hE1AxUGt3Qy1dfPAx7hNYPBo+DdGKRvW7Yffjh+/Htymw/Z/a10Xf4nSL5uUtJmx2J2+vLYCRn4I1GDZce/Dx8qDK1aA6tM8b9p3Iv0zHqVyj/T0AlC1FBfY2BTMs1p8HZvRjdnrEoUlisYEe3DW5N89eMJAgT6t+mYVupCAkeh7v3qz0vo821UxapLfeaf48RaHZexBpblmU7f5Y7zRCiJ6mfJn2sc+dkHyr9m5twjVQu11bBp/7NjaXSB4uvpQ5Q+JkrLzossxhZ9KmWvCp+ob2g1vGXFw8dE51dEGeVmamhfPeugLywv+mraJYfSl8GStFIdF5VKe2eidiFiTeqBU2tt4DG2488pyCzyBsEmS8CF5JYDSDV/KRt2Vv0lbZAOx7nipzb4a83EKhaaC21avkB+22vHrD7oM9ZULHQ2Am2Cq1Zs3/a89TsHAgwXVfsKplCCMSw3i3ahKULMSe8w4mZwMO1UC7auT2wpsZmRjEpAEJ5Dl741QVmnMWUP3DHNpzP0RNuJbqAe/ycf0UvByFKK2lsHAQrJwNzUUQcgZUb9CKVHseh/yPtTHsilErFNXthbIfsbfWcK3PK0T5ufHOmnxaFB8Y842Wd+vdh7ecla84fD/q92qNrPVoQO1ohR/PgpXnatlKfwBgZV0SswZ2nb6qouuQgpDokbYW1mIyKPQN64YFIcAjajwASuXPOicRQvQ4ZUtxWMP5qPpMnqi6ineCl9CUeBf4DtB6NVSt4Zu2OXzcMJMZafLkUXRhZk/yTMNIU5Yf3jJm7ZorhABun5iEi8nAP77JRU26CZpyoSlf22YiRGeo2Qq2Kta3j2DKM6twRJyjrZDJehZKDvbYqVwNraUQeQ6YPSDzI63A88uqmV+suwYWDobqrVCzmTfKzsDhhMc3Bxw8wUmD05Mbal5gS8rPOMev46JPmti66eBEsOLvfpvPMwGHayRbm5MpDLiIi4dF82rpWdgxYdown4p2X9b0/on3AxdhjJyBv4cLiqLgHz8ZBRVL7qv4Na/lkeKLeKbuRi5/dw8PF13AZttAANTabaiDX4SpeyHj5YPfVAFHC/z8F62ANW4JYIB1V4GjGYuzjhpTLI/NTqWmuZ1PNhWCTz9U1zDtZ/iXVULly9nXFodTBef667RG1osytELRlr9pW/U6Q8kPYG+EqjVQ9DVUrUcBdtmSmdRPJn+J35KCkOiRthTUMiq8Eaupe76zbQ3V+ggF2I6jiZ8QQhwvVcVZuoxvy5O545Pt/HfJPu75MpsZz62mIP4JiDyb4v4fcuu2MVw0rBceLia9Ewvxu1qCpxJhKcNepr2BYnXtugWhIE8rt4xP5Kd9lTyTNwrVeHCaT/FCfYOJ00fZjwC8tLcXO4vrybJO1rY5KQZYepZWFNryd20rcfgUvt5WzH82WFHjr9K2mpWv0FYFtddDwQJoPgB7n8KJiXdKhjGhbzCf7ffAoWhbj96tPJMVOa1c9WUza+pi+GlfJbfsno6qgprzP42ZVRXHnqcwthSQZYtm7PBpjE0O4rxRg7kx/zZuPnALDxk+Z1jaMO6amsILF6Ufuqpv+t/JN6ZjUuy0Oi1kuc/h8R+y2FNaz/+dOwLGLWRh7TBuzL+Vyd/2ps7m5K3tUOoyCIq/oRUv8hOehqm7IXg09L4NKlZgtwTR7LTg3/t8hsT4kRrhzWsrc1m8q4x3iwejokDZUmguRq1ay9K6VEraArCpFhjwb63QtHg07HoUdjzYOf/GhZ9pK3/dImDng6i+2tZan4hheFrNnZNBdCtSEBI9jtOpklNUzBN+N2rV/e7INw2nquBO3THHbQohxJ9WtwtDWwUr6vry+qWDyXl4Mu/MG0JNUxszP2hnW8yr/HNjLG5mE1ePitM7rRB/KDB5Nk5VIbZ1EU0OK66WrjVI4n9dMiyauYMjeXx5OdtdzgaUo/dwEeJUKPsRu0cSi/O1Yv+3JbHgGgaqHVBh4/VQ8RMMfoHsGgO3fLSVJxdn8V7TpWB01Yobn0fC5ju0rUkABR+zrm0oQQERPH3eQMK8XdlqzwDgu5bpPHpOCuUNNu75bAeuZiMXT5hESbs/1O8C28Fmzs3FUPETxsYs9rb24lzf7+hjWA/AzWclkjnuGiZMvY2nLxqBwXCUN3stvnhP+JpW1YVs38t44sJM5gyK4OP5w5nQN4T06ACah35E1MDL2VfWwKxnf+beL3byePZwAObn3szlK/rhsIZR1WjTRqdbfDG1lfNdXSbTByWjKArzMmPIqWziuvc2sawuFQUVQsbBskk4MbOg+kyy26KocvhrE9yCx0Hv2yFyttak2950Kv91tSbXRV9C+FToezdUrcfekE+OLYzhfRJP7fcW3ZYUhESPk1PZxA1+L+GlVkDclXrHOTFGCw3KwUau1RuOvMxh6/w8QoieofR7AAotQxmTFIjBoJCZEMBH84ehKArTn/mZ73eVcdWoOPzcLTqHFeKPhQb34qGq23ii7BIuz7sP9y6+qs1gUHh4Vgoz08K4a+sgQNUe56vWyxtA4tRytkP5CnIMGagqBHm6sCK7GtIeg953Qr/7tNVCiTfi7HU+ty3YipvFyJikQO79vpL9KZ/B0Ne1/lfZL4LFV+u3Y2/k5eJxTEkNxWIyMD0tnAfzZvJQ+fX0iu7PGb2DCfBwIaeyifF9gzkvI4rvm8ZpxZTsF7StY5+Hw4pZNDo9eNzxojaNDK3woygK5w+JYmK/0N/taefrG4LLrBz6TXqWIE8rj83uT7/ww60jzh4Ywe0TkvnbpGRyKpuY1C+E1FF/ZV7tApIGnsv+iiaufGsD6f9azLM/V+BI1iaZZXv8hRBvbcXT5JRQwrytOFWVCtchOFQDrJwDdbv4wf859tl60WCJJYI9ULGSQpdhfGi/HjXxOnA0Q+HB7XKO1iMnonWE4kWwdIK2vS9ilvYayC8dc3s525oTGZvUNQftCP117UdNIU7Arm3fcb7/Imp63YRvwBC945yweksCXrZK2srW4hI+VTu4+3FtyenUveAarG9AIUT34nRg3/ssO5oTGdx34BFPrOMCPfjgqqF8uqmQkQmBDI310zGoEMdPURQc0Zfw31V5ALhZjPoGOg4Gg8Kjs1O56JUWitoCCbdUaL1G3GNgWhYY5Om5OAXKVoC9kYWVfejl78asAeH8Z8k+aoL+gm/MBdo5qf8EYFNeNVsKannk7BSmpIYy/JEf+e9Wf/4z90zwSYUfMtnmdTVN1TkM5ktWNAzgugStd9CMtDBeWJ7I5qZEHssMwGw0MDs9gheW72dGWhgWkwF75PnQuIC2gm+xtFWBwYzT6eTtyomkD4iH0YuPcSd+n+IW9ofnzMuMYUCULynh3lhMBi4aFoOqqqzcV8mPe8oJ8HDhiR+y2JY8loq8/8dVZ888dF2z0cDzF6bT0GqnoKaZ/6w8j0sGeeGfeh0/fG8nwKOCgNAUqP6YYkc4Yz6Nw852PM9PY7JrOOx/RWus/dM54BYFw9/6c3dw853aKqD0xw8fs1XBsqlQtQ7cI6HfvXxVPRj35krGDn4Bx8KhlLpk4O/RtVdPCv3ICiHRozidKu55L9CoeuI75GG945wUp0ciThTaytdqB5oLYdu90F6nvTMjhBB/RtGXmJr283LFLKb1/+2T5vggD+6YmMywOH+ZLCa6lckpoYc+7w4FIQAXk5FXLh3MNsvZOFXYYZ1zZINaITqS0wEbrkUFNhSpnNU7mFGJgagqLMsq/83pX2wpxmo2MK1/GF5WM+cOjuSbbSWU1rWC30AcM4q5euMZvJETj0ltZbjPflIPrsZJDvEkMVib9jfyYJFo/uhY7pvWh9GJQQCMGTKWPS29aG4ogap12L0H8HH0Fh4rvZjRp3gli6IopPfyxWIyHHHsP3PTeHhWCktuGU2Il5Uf91aRMXgq4/sc+QZs/0gfMhMCmNA3hGcrz+eFhuvBpy87i+voG+ZFYvIIAD5zzOfmCX1JDvHkoW/30p5wo9bD6fMIqPhZm+J2vNrrYefD2rS2vU/BsilQu0Nrgr18ptZAGieYPNnm+1du/HA7l7+xgUHP1TBi96uYEq7oiL860UPJWxCiR1mzey+Z1hUU+l2Mh8lN7zgnxcUvGWO1ilvNcm0Z+abbACf4DYZ9z2sjo41S7RdCHKc9T1DuDCHHOp6E4K7beFeIP2tQL1+CPF0ob7DhZuk+T229rGYmTbsNvnqRbw94khybjGn3Y9BrLkhRVnSkfc9DQxZOxcraxmSuSAykf4QPMQHuvLoyl5lp4SiKQmWj1pbgm+0lnNk7+NBggUuHR/P6z7n89cPNXDwsGjeLkZI6Gy2m/rxTNYmYsAhMRq3AoigKN56RwKr9VYR6uwLg42bhshExh+LEBXnxcssIrnD9AEdlEW+Xn8kzG7II9nIjSafHp/ggT+KDtO/92XXDsTtUwnxcj3m+n7uFKSmhvL0mn6mpYWSXNzIuOQi/XoPBdyfXefcBYECUD+e/vJZXq85h/mAf2Hw7xJwPAcOOP1xLCWz9B+CEwFHaaqCF6Vr/p6Y8yrwm4tVnHi60cu+Xu/B3d+HqUbFsKahldGIyZ8u4efE7us+jphDHoWTLS7gY7ERm3Kh3lJPmG9wHskFR27WlpZWrIOV+CBiq7REu+ASiz9c7phCiO6jeBBUrebF0HlMGRuqdRogOZTAoTOsfxuebizAereFsV+YZT+nAL3jzbQfxEVGc3XiftnogKFPvZKKnUFUoWQiKkW2GiahGKxkxfhgNCvNHx3LnJ9v5elsJxbUtPP59Fg5VxeFUmf6rlaSRfm7cPiGZV37K4dp3N+HtasbP3cK8zCTuWeTOg4P7HfEtp6aGMTX12Nu3FEWh0SMdA++Bs4XtrcnUtbRzXkZUl1ihGuRpPa7zbp+QxMIdpZz9/CpcTAamp4VpxdyDxSCA4XEBjEwI4JWfcrnsylRc3MIh5zXIe1drOB17KXgeY4hD+QptWphXEgx6GjZcBwMeA49Y2H4ftNVQEDyfkZ/35ezmCAZE+rClYCeP/6U/56RHdMDfhDgdyJYx0WOoqkq8bREH6IvFv7/ecU6ai28yAAfoqxWDfNOg798h5CytkV/5cp0TCiG6jaynaVfcWFB91u8+SReiu7p9QhJf3dA9iyghydOZMiCWR3b0RVVMMnVMdBxVhdy3wC8DVAcfVGYyJMYPq1nbWjlrQASh3lZueH8zj3y3h9FJgcweGMHwOP/fbN26Zkwc6+8+k5vOSKCupZ3Z6RHMy4zh9glJzEz7848rbiGH+3wqARms+vs47p7S++TubyeL9HPjqlGxmAwKr1wyiOQQr6Oed82YOCobbbyw3Z/3gxZyXtn7bGUM7PwXfBUPux777ZVsVbBkHHybCrlvQ0M2GK3gOwCsgTD4ORjxPq+WTwUUPt1UxIPf7GZUYqCsCBJ/iqwQEj1GaW0jiZb95HpdoHeUjuERg0M1sqs1juhe/to7AwazdplvGlRv1jefEKJ7aK1AzXufRc2TiA4LJzrAXe9EQnQ4q9n4u9s7urrp/cP5aEMhVe5DCSj+GgY8qnck0RNUrIQ1lwLgcAlmQUECf5sccOhii8nAU+emsfFADYN6+TE42vd3V+gYDAo3n5XIlNRQevm74WIyct3Y+BOKFh8VT2FpIG4GG7HR/Y97VU5Xc+v4RK4eHYun1XzMc4bF+jMgyocnF2cB4Ovmx8zyG1hy9f8jNv9u2PYPiJgJXr8aDV/0FagObNYYXFZfAtZAKiypfPZzAZePiMFkNGB3OPl6WwljkwLZX9FEfWs7/292apdYZSW6DykIiR5j//6NZBpsuIUM1jtKxzCYaTSF47BVsz7+cwb7+LHpQA3vrtzB1Wo98co2DM72w0UiIYT4Xy1lsPYKFKeND0sGMPesKL0TCSGOYmisH37uFpY1DmU2/4bGHG1biBAnoqUELP5Q+DkYLJDxIh/vtuDEyJikoCNOHRLrz5BY/z9184kd0OcnNdKbN76bhNVgI3NMwB9foYtSFOV3i0G/nPPfuQPYdKCG2AAPwn1dGfnojzyxqp1nZr0EXyfDhhtg3KJD17Hnf0JZWyD3VTzNKyHXQ91OPq0YxSNr97BkdzlvXp7B+rxqKhttnDs4koFRvtjsToK9umdhTehHtoyJHqO2aA0AoTEjdE7ScTwCehPvWsoj3+7mk42FXPDyWlbtryGWLRhoh/o9ekcUQnRlq86D4q9pUy2oLkGcky7LyIXoikxGAxP6hvDy/oNbZoq+PvIEZzvUbofKddDe2PkBRfdR+AV8EaP9/i/8AoLPIN/7L/xjtS8z0sI6pJjTEYI8rXzWdjEv1FxKysEJZT1ZpJ8bM9LCSYnwxs/dwqUjovlmewmbKlwg4RooWwKOVu3k9kYMpT/wff1QFu9rIq/3GxQ5ovi5NZO7J/dmbW41X20tZsGGQjytJsYkBRHkZSXSr3sP1BH6kIKQ6DGMtZtpVV1w8e3zxyd3E8a4i2kKm8umA7XcumArUX5ufPnXCRSQpJ0g28aEEMfSmAdlS3EqLnxcPZYxQ8fjYuoeI7mFOB1NSQllb1MwDS6J2uCIX+x/FT7213qJfD8ENlyvX0jRdR34BFbO0QaRmD2g4FNo3E+x5wSufnsjZoPCXZO7Vo+esweGc+7gSMzG0+8l6fzRcYR6Wbnj4220e/cH1QF1u7W+T7sfw6DaWFQ3DEWBGW9XM2Lnc0w/8xyuGBlDbKA7L/+Uw7fbS/hLeuShnlBCnIjT76dP9EhOp0pQ+07KjMlg6EG/FKPPZ+BZ9/P2vAw+uWY4X1w/gkBPF+p8zkJVob5whd4JhRBdVd67ABhUG9scQ7lgSC+dAwkhfs8v28aW287Upgs1HQDVCdvuA894GP4u+A2Guh16RxVdUfaLULYUPOJg3I/grU3+mvN1AJWNNv573oAut53o9gnJ3Detr94xdOFpNfPw2Slklzcy+/2Dq/5qt8Hm22DHg2w1TmanPY1ZaeE02uz8a2Y/ZqdHoCgKcwdHklXWiN2pctEweWwXJ0cKQqJHKKxuItllPzbPNL2jdDiDQWFkQiDpvXwPvQMQkDAZRQFnmRSEhBBHoaqQ9w5NxlDsqoGRI8/F1dKDiuVC9EC/bBt7en+6dmDrXdoI+pYi7Em3QvT54D9I6y8kxP8a/g5Z1im01+eQ3+wBIz9he6/nKGz14fkL0zmjd7DeCcX/GJMUxPMXDMQ7qDetTgu2fW/Cnicgfj4P19xFUog3D81K4cdbR3Ph0MOFn3MGRmA2KoxKDCRGBkWIkyQFIdEjVJbtwt3YiuLX8wpCRxMeOxq7asTQXql3FCFEV1T8DdTvIbvRmyxHKpMHJuudSAhxHH7ZNtZqCoG8d1HXzqNNdWH8R97sKKrTGk231Wh/hPiVjzZXEVK9gK9rM7n1y1IcHgksaTkDRYE+oUcfhy70NykllLunplLYFoilahmYvVFrtrKrtJHkUE9cLUZ6+R9Z9PH3cOHNyzN45OwUfUKLHkUKQqJHaK7OBsDdL0nnJJ1DMbmwTxlCRZsXqqrqHUcI0ZU47aibbqfAHskVRY/jPWWpjKAVopsYGutHoKcL9+ZfjAooDfvIaQ2htNnEnBdXs6/p4IQoWSUkfkVVVfI3voSXsRmPlJvYkF/De+sOsLO4npgAd9xdZLB0V5YY7ME+e29UFWivY5/bDBpa7fT+nULe8LgAwn1cOy+k6LGkICR6hLb6PAD8ghL0DdKJbH4jiLPkU1haqHcUIURXkvsmSsMeHiy8mPtnDSDc30fvREKI42QyGnjviiHYIucydu8rrGnsx2eO+fx46xhCvK387fsm7cSG/foGFV1KYXkZ53m8S6UlhTMzp5Ma4c0H6w6wq7ievmE9f4JXd6coCqpvGgZFpd7hzszv4gBIDpGVXeLUk4KQ6BGUpnwcqgGr9+nTWM03agwABfuW6BtECNG17HuRAmc82xjDhL4heqcRQvxJCcGe/GfuAN67+Xw2JX7GRX+5kRBvK29dnkGFGq6dtPk2bRS9EEDb+lsJNVfRkvokisHA9P5h7Cyup6i2hb5hUlToDsJ6ZQCwqHUKt05O59Lh0aRGSDFPnHpSEBI9goutgCpnABjMekfpNBHxo2lXjbSXrtQ7ihCiq6jbDdXrebN0DLPTIzEaZKuYEN1VmI8r146JJ8LXDYAIXzcmD0ykweEGzQWySkho8t4jrv493q2bTUTCOACmpIYeulgKQt1D6oDp7A24kfGzn2BeZgz/nN4Xs1FeqotTT/6XiR7B01FMrRL6xyf2IEaLO/nOJPyaN+gdRQjRVeS+iRMjn9eOZs6gSL3TCCE62IS+wRS2BWpf1O3UN4zQX8Uq1DWXsbEllU0+Nx/qFxfq7UpGtB8gDaW7C4PZhaTx/8HbN1zvKOI0IwUh0SP4K6U0myP0jtHp6twHk2DaTVNLs95RhBCvz91ZAAAgAElEQVR6czog923Wtw0hKiyGKH83vRMJITpY/wgfChwx2hd1u/QNI/S3+TbaLSFclnMXGXFhR1x0/bh4LhnWC38PF53CCSG6AykIiW6vpdVGkKkCuzVK7yidziVsJFZDG3t3LdU7ihBCbxUroKWYt0pGMrGf9A4SoicyGBTMPkmoKthrtukdR+ipcg1UruZ7x/m0Kl6/+b0/KjGQ+2f00ymcEKK7kIKQ6PbKy3MwKU4MHqdPQ+lfxKdMp101Urlngd5RhBB6y3uPNsWdJfWDmdTv9NpCK8TpJDDuLBQF2st+1juK0EP9Xth+P+z8P1SzN/fvyGBqaih+7ha9kwkhuiEpCIlur74qGwCrT4zOSTqf1T2QfNMwktsXUpPzHfw4AeyyfUyI047DBgc+ZpUtk7jQICL9ZLuYED1VUv+ZVNm9sbaXgKNN7ziis+W+BdsfgOKv2ebyFypsFi4aevq9KSqE6BhSEBLdXktNLgBeAfE6J9GHV9L5RFnKcFs7B0q/h6Kv9I4khOhsZT9Cey1vFw9jbFKQ3mmEEKeQ2WRkr/kMFMCe/ZrecURnqlwHuW+Dawh2zFy5fjSjEwNJi/TRO5kQopuSgpDo9hwNeQAEBCfqG0QnQb3Pxa4aMTmbcZh8Ie89vSMJITpbxc+oGPm5oZ+8MBDiNGCIuwyA8gPrtANNBbD1Hij4TMdU4pRSVfh5DjQXoLaU8Fr5ZGIi4nj+woGHposJIcSfZdI7gBAny2QroNrujZ/VQ+8o+nDxozXxDp5fVU2sey1nOz5FsVWDi5/eyYQQnaVyDVXmZFpVK/2lICREj9e/30js+wzkVdsIq94I348Apw0sflC1Afo/CIq879tjNObCsimoTjtOjOxpiaIw+DreODsDV4tR73RCiG5MHilEt+faXkylenpvkfAY/DDpE+7n9aJhKGo733x6D1Of/okdRXV6RxNCnGpOB1StwdBWybCACgI9ZcSwED2dq5s3G5UpDGz/GOe6a8HsBRkvQls17HoYarboHVF0pJ2PoDbup7LFwBsVU1kSvYj7zx0rxSAhxEmTgpDo9rycpdQhI5bHJQczZdQUFtYNY4r6PP/xvJD9X8xkb+5evaMJIU6l+j1gb8KLSqLDwvROI4ToJG3Jf8ek2DFUr4N+95DrfR41B58PteZ/rXM60WGaiyD3DXa5zmbwtudp6PsYN56RINvEhBAdQgpCotvzU8poNMmLIID5Y+IIjhsHQKxLMTN8llG7/XmdUwkhTqmyHwH4oS6DuMjTs7m+EKejjNQMPq2bSBkx1IVdzl9eXMtLZZMBqMt6X+d0osPsegxVdTJ/4xlMTgnhpjMS9E4khOhBpCAkurf2ejwMTdgsUhACUFpKGFD7H4iYgTI9h+22foQ3fKt3LCFER1Cd2oSZilVgbzl8PO8dAJ4uP1f6BwlxGnExGdkS/BCZ25/i4re2UtPcxvSz78WOmSD7HkoqivWOKE5WUz5kv8BGw3TKnaE8PCtFVgYJITqUFIREt2ZvyAfAYY3UOUkX4RYG41dD5sfgHslel4lEKPugPkvvZEKIk5X/IXw/BH4YAZtvP3y8fh+NeFFm7CMTxoQ4zdwzrR9D44PZWlDLFZkx9O7VC1vo2SgKbP/pab3jiZO1/Z+oKNy5dxbT+ofh42bRO5EQooeRgpDo1hprcgEwekhB6BCffmDQBgi2hc4EoGmfLB0XotsrWaRNEAqdCAc+AqcdbFXQXsMr5dOZkhqK2SgP60KcTtwsJl65ZBAvXDiQW8YnAuA+5HFUFTKankd1tOmcUJyw9kbIfYvd7nPZ3+zHhUN76Z1ICNEDyTNH0a211OYBYPGSB8mjieuVzOamJOyFX+kdRQhxMtqbtV5BwWMg7gqwVUD5Cu0P8FN9KjPSZOusEKcjF5ORif1CcTEdnDjlFs42v1vwMdZRv/wS2PI3rXgsupe6naA6eX53FBkxfvSP8NY7kRCiB5KCkOjW2hsO4FANuPtE6R2lS+oX7s3aphQ8mraCvVnvOEKIE7VsMjQXgNFDWyFkdIMDC6BsKa2qlUpLKgOjfPVOKYToIkIzH+Lr2pF4l34Aux6F3LePPKF2J2Q9C6qqT0Dxh5w12wAoUON5+rwB0jtICHFKSEFIdG9NBZS1++Hv6a53ki7J3cVEoTkdI3aoWqt3HCHEibA3Q+VK7fO8t7j0qdfZ5BiOmv8+7fmfsq6xN7MHx8qLBSHEIUGeVt5WHmRu+ceoHvFQuuTIE7bdDRuuh50P6RNQ/KGG0k00OazMHTOKYC+r3nGEED2UFIREt2ZqLaCkPQB/d2mydyzmkJE4VQVn2YrfXFZUVsi+5fdRu/hcsDfpkE4I8YcqfgbVQZPqwUU599PkOZA7ss6hqMUDs62I9c2pnDdEVkkKIY504fAE1pRa2WQbCOXLoa0Oct4Ehw1KF4PJA7b9A8qW6R1VHEV71VayWnvRP8pP7yhCiB5MCkKiW/Noz6XG4YW3q1nvKF1W/9ho9rRG01y07IjjDqdKzXcTSSh6AJ/yj8jfKX2GhNCds10bLf9rZUtxovB97WBmT53HgvnDeeCi2Zx34FnuLbqaqrB5BHi46JNXCNFlTesfxqXDo3ktOwbsDdpqoDWXwta7tTeBhr4OFl/Y/5reUcX/UlXcWnazry2a+CAPvdMIIXowKQiJ7svpxNNZSrhLDQaDbJU4lowYP9Y19cWldp02leigNRsX08+ykzWet9DmNFGS/YOOKYUQgNbr4/shUL3x0KG24iVsbkpiT+yzzEgLB2B4XAAf3TAeNeF65p+ZrldaIUQX9/fJyex2DNS+MHmARxzseRwMLhA2CSJmQeHn4GjVN6g4UmspbmotdZZkmR4phDil5DeM6L7q96AAVWqo3km6tDAfV7LUQZjVZm3JOKCqKo07nqXV6cKgM+8mn7541q9GleaSQuinZBHseUr7PPsV7WN7PabajaxuTOW8wUduCwv1duXBmf2I8nfr5KBCiO7CxWRkZEofdrfGYi9ZCmmPAOAIHM2BOgV6nautHipeqHNS8WvqwYbSim+KzkmEED2dFIRE91WlbauoNMTqHKTrcwRPoMnpipr3HgCbcg4wwvQ9hV7TMLn64QzMJNGSxZbcIp2TCnGa2vcCLJ0IbVXgmQj574G9CXXr3RhwUOwxnugAaZ4vhPjzzkmP4KeG/iiVqyB0Mk6vPnyaF8z4p5ZT6T4CXALgwEd6xxS/0pjzOXbVgE/YYL2jCCF6OCkIie6rVnv3pNrSW+cgXd/ghAgW1g6jLXcBOGzsX/UkHsYWIjJuBSAyaQJmxcGObd/rnFSI01DVelh/Darx4EqfwBHQXg/LZ6BkPcPrldMYPGiCvhmFEN1WSrg3eabhGGmjaON/MNTvYk+NhdZ2J2+vLYKQM7Xm9UI/jXnaYwFAYy7uBa/yUfV4EqNkYIAQ4tSSgpDovhr2AlDnlqZzkK5v1oBwqgLOxkVt4MV3H2WU820KzEOxhgwFwC1sFE5VgfLfTiIDIO99mn6YRu2CRFCdnZhciJ6vZNPztDhduKPiQardhqDmfwTRF9JWu5ftLfH87HErM/qH6x1TCNFNKYrCxTMupE0145f9AO2qkcCUeZyRHMTba/Jp90qB5gPQkKN31NPXljth8Sioz4Jt92F3Gnij/iKSQ7z0TiaE6OGkICS6LUdjPqoKbj4xekfp8owGhStmX0WtMYrLDfcTYq7GO/2ewydYvKmy9CWRjZTW/U9jSXsL6prLaC1bw9LycHJLyzo3vBA9mcOGZ/knLG0azvqWAZyz6XK+qs3koZJ5pG19mavKX+DROUOlcb4Q4qQkR4Rg9xuOq8FGc+Ak5k8YxhUjY6luamNlxcGC89dJ0LBf36Cnq/o9WmPv1Zdiayjii5pRXNavBYtR72BCiJ5OCkKi21JbyrCpZkJ8pKHq8TCYzPgMeQSTQcWpWPAKH37k5SHjGOC2h1V7Dxx5xcpVKE4bt+Zfx80Ft7Fwb3MnphaiZyvb8zEeSj2tERey+JbR3HPeDL60/ovXNjbTN8yLz64dgb+MlBdCdAC3qIkAePe9GoChsX70C/fiua0H+5OpTsh69vAVmotkVXBnUFVoyNb6x1WtxqXqR/7i9wPnNV0Btiq90wkhejiT3gGEOFEGez0NDndCvKx6R+keWith3dUovgNQhr4BLr5HXOwXOxGl4L+U7l8CGYmHjrcXfY+iGjF7xXBDwCoW7fThmjFxnRxeiB7I2Y5z+0OUtAeQOfJcTEYDZ/QO5ozewbS2O3AxGVAUWRkkhOggCVeD2QtCJwHaVrIrR8Zy0wd1tIX7YbH6QM5r0P9BrafNd2kw+DmIv1Lf3D1dSzE4mnm3dhbb21JoKN9OvwhfrpkwQvv3EkKIU0hWCInuydGKQW2j0u5DqLer3mm6B2sADH8Pxn4HRxljqgRm4sCEtXo5dsfhdwTL933LpuYk/i/xM271fBilag1l9a2/ub4Q4s9Rdz1KqHM3n3AbQV5HThCzmo1SDBJCdCyLLyReC4bD+5Amp4QS6u1Kli0GFAu018H+V2HPv0G1Q947OgY+TTTsA+DHIi/WVIeRnDGPi+fcCkGZYJQVokKIU0sKQqJ7Otj4sLAtiCAvebA8bhHTwBr02+OqE9ZeRqslgoEum1iypxyAnbn5hDp20u49GP/qbwC4JvBjFu+WPkJCnLDGPFg8GmXbP/i6NhPvxHP1TiSEOE2ZjQbmDIpkTU0EamMeBI2FzbdB7jtg9oHyn6ClRO+YPZp6sCCUGD+AZbeP5YYzEnB3kU0cQojOIQUh0T1VbwKgxBmF1Swd906avQnaanFvyyPFdT8L1uyB+iwsq2ZhUFQywg2gOlCjL2K89xpy9q/XO7EQ+lBVqN6sffwjzcXw3QDIe//I4zsfgqr1rPW+k9sL/srY5KMUaYUQopPMHBDOruZYFLUVWgrAJRBQYfg72seCT/WO2KM1V+3B5jQREpKgdxQhxGlICkKiezo4cr7aGKtzkB7C7AljF0HcFRgVJwcO7KRu8TkEOLJZ6HY/5vKFEDoRZeATODASVvMp6vG8IBaiO6rbBcuna323/lfOG7BwIGy8EbKeg68SwWH77XmqE1ZfDDVbYONN0FanHT/wsXYbRleeKZpMZFAAEb7SGF8IoZ+YAHcKPafwcsM14JkEidfDxI0QPgW8+2i/t0THq90B2a/QXLmDgrYQksN8//g6QgjRwaQgJLqnlmIA2lxl5HyHMRih/0OoipH7Il7Du3UHT5VfzMCxt8HQNyHln2ANoMaaxkDLJrLKGvVOLMSpse0+KPoKdjzw28uyXwCjFbKeQd1wg9b7oXjhb8/LfQvKlkDiDWCroG3rA9oUmZ/ngmqnydKLvQUFjEsOPvX3Rwgh/sDUgXE8lDuFu2oeoT7uNvDtr10QPh0qVkJ7vb4Be6L9r8GG6zA25ZDbFkZyiDSQFkJ0PikIie5J0baJOTwS/+BE8adYg1BCJzDCfRPtWOkz7CqCvN0g9CwIyADAHD6eVLd9bNyXo3NYIU6Bhmwo+AQsfrDveajfd/iymm1QtY7VnrfxY+MIFJw4VYW2wm9+ezs5b6AqJt6qncNn9ROx7HsC+xJt5LPDGs6EXY9hdg/l6lGyylEIob+5g6O4fEQMH6w7wEWvrKW5za5dEDpRay5d+qO+AXsa1Yma/wEtll542g9QSRTebma9UwkhTkNSEBLdkt0SgEM14OkToXeUnif6IgDMMXM4d0Tqby72jpmEUXFSm/dDZycT4tSyN8PmO8BghjN+1FYCrblU2xKmqrDnCeyYuWlVPIPcd5JrzuS7uuGoBV9qW8R+YauCipW0YeWBxVV8ab6LJQ3DMDXvp8o1nRfKplPe0M5zFwzE192i290VQohfWEwG7p3WhxcuTGdbUR0Xv7qO55ftp8FzEJg8oeQoKyHFiatci9JagmvrPurtrpS4jtQ7kRDiNCUFIdEtNTfV0eS0Eiwj5ztexAyIvRT6/O3ol/sPwYYrfg0rcDqlj5DoIWxV8F0aFH7GLv+/ct6CFnJiH4fKVbD+Wth+H+S+yesV08hM6Y/XhO8IH/s0y5uG42Ivg6pfNVpffx2oDj6sGMNZ/SJ47fJM2od9wGV5D5Cx5m5er5rFe1cOoX+kj373VwghjmJ83xAemZVCfnUzjy7cwyOLciBkHBR9DU6H3vF6jrx3UVX4snYU6bvexREyXu9EQojTlMw0FN1Sa0sdTqeVUCkIdTyTKwx9/diXGy3UuA9jqG0Du4rr6BdxjBe1reVHH3EvRFe050loyOY9t5e4a0kY7qZyGg3/psY/Hd+CT6C9jm8aJ/JK49V8P60vuJmxAA3+lTQ5n8V93dVw1gqwN6Ee+AgF2OjI5LHZqSiKwsTUKDLi7iSvqonYAHd83GRlkBCia5qbEcXcjCj+8fkO3l93gL9P9MOzpUjrrRY5U+943Z/Tjpr3DooC5cGXc29qH8b3lX5yQgh9yAoh0S212RppdloJ9nLRO8ppyTVuDtEuJWTvXXb0E/I+gE+DoWJVp+YS4oS01cDe/1IXOIO714Yxd3AkK+8YTYHSG9+WjdBex6KmM7in5EZeuWTIEX0eBsbHck3enah1O2DlXMh9GwVt5dzooZPwtB4+18/dwsAoXykGCSG6hevGxmMwKLxdMlw7kP+hvoF6iqKvUdrrKG33IzjuTC7PjJFpk0II3UhBSHRP9kaana54u0oDPj14J86hXTXhWnyUUbTNRbDhWu3zqnWdG0yIE5H9EtgbeLTgHLxdzfx9cm98vbxp7v8Ml+Xex4et87g+50Zev3wYKRHeR1w1MyGAFY3pbAy4H0q+Q912Lw1OTwrsEUzL6KfTHRJCiJMX4m3l0uHR/HtLMCoGqFytd6SeYd+LtCtuPFN2LoNi/PROI4Q4zUlBSHRLir2RJocVNxfZ9agLiy/7jCPo71yE3W4/fFxVYe2V4GgFsxfU7dAvoxDHq2YrbdZevJfly3Vj4g8VmqemhrGxfRh3Zs3inEHRpB2l509yiCfxQR48mDUaImahOG04nCoOn3TMRnmIFUJ0b9ePi8fXzUqV0x+1uUD6CJ0MRxvkvAmli/jBeQFLnbOl9YEQQnfybFV0S0ZnMy1OK25mo95RTlutYXMIMVfy4bfv0GbXJizZs1+Fku94unoeRYa+qLVSEBLdQHMBFQ6tf8PMAeGHDrtajJyXEYWni4lbzko86lUVReHCIVFsLahjR9STvGu/hStLniQ085FOiS6EEKeSl9XMLeMTWV+fgIITKn7WO1L3tf4aWHMpqlcfnso/g8HRvnonEkIIKQiJ7snobMKGKwaDoneU01bKkEtoxhP3gje4+aMtOKq30r7ur6xuTOFb2zl8XxSAo2bHkeO4heiKmg6Q3eRLv3AvAj2P7Et224Qklt8xliAv6zGvfnZ6BK5mI9cvyOHuXePITB+Ni1/vU51aCCE6xbT+YSysH6F9kf+evmG6K6cdCj6BXuezMnEJWfUeTOwXoncqIYQ4uYKQoig3K4qyU1GUHYqivK8oilVRlBhFUdYqipKtKMqHiqJI90zR4czOZtoUacCnJ7OLO26JlzLd9ycyKu+l/tszqW23kp/4PJ9fP5KctmhMziZoOqB3VCGOzelAbSliR603YxJ/OxXPbDTg5/77D2NeVjPzR8dhNCicPTCcS0dEn6KwQgjR+bysZiq9zkRVgbJlesfpnirXQHsdRM7iy62leLiYGJMkk1iFEPo74YKQoijhwI3AIFVV+wFGYC7wKPCkqqrxQA0wryOCCvFrZlqwG6QgpLv4KzHg5AL/hdgcThZ4vcTcMSNwMRlp8+ijnVO3U9+MQvye1hIU1UFxWwBjkgJP+GZuOjOBJbeO4Yk5adLsXgjR46QnRFPj8ERtOqD1CxR/TslCUIzYAsaycGcp4/sGY5W2B0KILuBkt4yZAFdFUUyAG1ACjAN+GT30JjDzJL+HEL9hUZulINQV+KRA6ESMCqz2e4j50w//uPuFDQDAUbNdr3RC/LGmAgDSPfeTFibNPYUQ4mhGJgTwaOklKM4WaMjSO073U7IQAob9f/buOzqu+kD///vOjHqzZcm994KNDQabjmmht1BCQkLahmx6SCXJbsp3N/W3S8pCQuqS7GZDGr2EEkrAFJuOjQvu3bJl9TKamfv7YxSIYxsItufOSO/XOT7SzL1z57k+Ppb06FP49TMttHalOG/2iNd/jSTlwJsuhMIw3AT8f8B6skVQM/AU0BSG4V+3HdoI+D+eDqxMD0VBD5lYRdRJBHDMbwgGHsoFHZ+kuGvtK0/PGDuKTcl6Wre49bzyWEe2EDq5ehGJon2vEyRJ/dnsUQNYkpyVfdDwSLRhCs26G6HxKXZWn8w371rGiVPqOX5SXdSpJAnYvyljA4HzgHHAcKACOP0feP0HgiBYHATB4oaGhjcbQ/1Rqh2ATNxCKC8U18CCu+Gw70Ll+FeenjN6IA+1HkbFjruhpyXCgNK+NTcsA2BrxUkQuEi9JO1NUTzGkJGH0pSuthB6IzJp2HgrLHwXPHoZ1B/Hl5YeT3lxnG+/dRaBX28k5Yn9mTJ2CrAmDMOGMAx7gD8CxwADeqeQAYwENu3txWEY/jgMw7lhGM6tr3/z6zaoH0q1ZT8mKqPNoVeV1sOkK3d7anhNKfd1n0NR2EnXy/8bUTDptbVvzm6hXDL+koiTSFJ+O3ZSPU+2TSe16U+w4lro2hF1pPwVBNlt5jf+ESrGsm3mz/nTik4unz/mNXetlKRc259CaD0wPwiC8iBbc58MLAUeAC7qPecK4Jb9iyj9nd4RQiQcIZTPgiDg/FPOZ3nXGNY9+X0efXkHoQtRKs+UtC0hEwaMmnZ21FEkKa8dN6mO+1qOJNG9BRZ/BP58EnQ3Rh0rPwUxOOk+qJwIQZybXkqTCeGth42MOpkk7WZ/1hB6guzi0U8DL/Re68fA54CrgiB4GRgE/OwA5JRe1TtCKFbkCKF8d+7wNQwYeihTipZx6GOjWPGrmWy/51K4ZRw0PhN1PPUnLStIPfMlnr353Wxa/Sj0tJBc/hNqwi20MpB4kQtKS9JrmVBfycPpc/lk+DCceCe0LIe758LS77jz2N60rYam58hMv5rfPb2FI8YOZGydv8yUlF8Sr3/KvoVh+GXgy3/39GrgyP25rvRaMslWYkCsqCrqKHo9i/6ZIc0vEiYqaag8hbJdiyjfdhuZRJrYqp9A7XVRJ1R/8cKXia+7kWmZBEWP/ZLU4wmK6SFFjK6a+dREnU+S8lwQBBw7qY57lmyl6YKTGXDinfDUJ+HZz0JxLUx8X9QR80cYwotfI6wYy9denMOqhs185KSJUaeSpD3s77bzUs51d7UCkChxhFDeO/p/4by1BBc3M+7cm6i5aDVnbbmN+9uOJrn6RpLJZNQJ1U+EjU/zWPexXLz9j9ycei837Diby9d9m5bKeQyZfFbU8SSpILxj3mi6ejK874bFdNaeCMf9MXtg+TWR5so7G2+GnU9yZ+Y9/Pfjm/nA8eM5363mJeUhCyEVnGRXMwCJkuqIk+h1DZwFFWOyc+mBmopifnj5EdzdcgLF6UZ+/kdnlCoHetqgdSWV6S1cMn8KF17xU97zkT/wi89+itrzFsLkD0WdUJIKwpzRA/nu22bz9PpdXP6zJ2iMj4bSodC8xKngf5VJwXNfoDE+no89MZsrjhrD1WdMdWcxSXnJQkgFJ9mV3cK8qNQpY4Vo+vBqvvGRz9JJJUN33UQ647oDOsianiMgpCbRznmHjQUgFgsoivslUJL+UWfOHMa1bz+MFzc1c9b3/8L6slMIAZb8e9TR8sOm26FlGf+65jJOnzmSL58zwzJIUt7yu2EVnJ7u7KLSJSUWQoWquKScrQPO5/Sqh1i5fk3UcdQXpNohzOz1UHrzvQAsKz6DqtKiXKaSpD7pzJnD+N0Hj6KmrIj/eG4IARBuugNSHVFHi97We0jFKri76Qgunz+GWMwySFL+shBSwUkls2sIlZa5DGwhG1Q3htJYkvYlLiyt/ZRsgptGwqqf7/Vw+5qbASif9sFcppKkPm3WyAHc/tFjOXre2QAEmS7YcnfEqfLA1vtYER5GeWkpc8cOjDqNJL0mCyEVnHSylXQYo6zUrTsLWXXLI7RlypnQdAOkXVxa+2HTHdDTBDsW7vVwaccyWtIVHHHIYTkOJkl9WyIe49ITT6CDgXRnimh/+caoI0WrfQO0ruTuHdM5YcpgpyZLynv+L6WCk+lpoz1TSmVpIuoo2h+Dj6c81klbKkHYVoDTxl74Gmx7MPt5w2P7nK6kHNiYHQFE89I9DqWaV1FMN9vi0ygtiuc4mCT1A0FAcub/44n2Q0hsvaN//5Jn2/0A/GnnTE6ZNjjiMJL0+iyEVHhSbXRkSqkosRAqaINPIEbIlzZcyepkgW3FmtwFL3wZnvoE7FgE9x4NK6599fjGW2DHk9Hl60dWbdlOcsOdAITNSyHcfZHyTSvuAaBlxLtzHU2S+o0BMz/MC6WXUBK2k975VNRxopFsglU/pzM2iOVdY5g3blDUiSTpdVkIqfD0ZAuh8mILoYJWN58wSHBk5RJe3NQcdZp/zM7F2Y9Nz8E9R/Z+/nx2lFDbWvjLhXDPUfCXS+CFr8KuZyOL2leE4Z670TW0dvN/v/8PiulgZdcoglQrdGzc7Zy2zY/Qmi5j1Jx35yipJPVPY6aeCkDj2gciThKBnla4+3DYsZC7Yx9iQHkxQ6pLok4lSa/LQkgFJ0h30JEpo6LY6R8FLVFBWHsE8/KtEEp1vv5w98ZF2Y/xMgDCgYfBqp/CE++DZdcAMdpLJsCG38ELX4E/zYcnXdCYTA+0rXnD0wnW7mjn0797jqO/cT/HfusBOpPpV46FbetZ/Id38YXa79BROomRxQ3ZA1v/vNs1alof56WemQyuds0xSTqYJo2ZzPruISS3PRJ1lCCZEm8AACAASURBVNzbfBe0rYbjbuKXO97ClCFVbjUvqSBYCKngxDPtdIalJFyor+DFhhzPrLKVrNi0PeooWWEI950At46Fdb/d93k7F0HVJJj2aTrjgznyiat5qe4qWP3fsOL7dA2/mPOXfZkr117NMwM+BcPeAi9fD9v+5remYQaevRpuGQv3HA2Z1EG+uTzw7Ofh1vGkf1tD+8obs1vF7+vUDU2ces1D3PH8Ft4z/CH+bcBnuXfJelj2XfjDYIJbx3Ba0e95ufoyys99hluqs7vVZZ793CvTxlId2xkZW82uyvk5uT1J6s8m1FfwTOd0atqe3GP6bp+U7oYl34St98PmO6C4lszQM1ixtZWpQ6uiTidJb4g/UavgxNPtJCmLOoYOhPrjKApSxHYt2uuUoJzb9mdoXERIAI9eCk0v7v28nYvoqDqMT790AYc+ez3NPRW888nT6Zr+NcJ4JV95+UzWd9ayqeoM3rv4NNZM+Rlh+ahsIfLX+9x4Kyz9JpQOgx2PwfLvQ/t66GnJ3f3mUiZFuOZ/WB+fw6rOeoqevJzmO0/a5+kPLbydeyZeyVOn38z7i7/OguqnWPfcb0gt/xFt1PCTln/i8ob/ZfyZv4JEBRNnnUdruoxY9zbY+QQAG5dntz+uGLkgJ7coSf1ZIh5jc9HhVIY7s6Nl+oNVP4WnPgab74ThZ7KpJUl7Ms2UodVRJ5OkN8RCSAWnKGynG6d/9Al1RwEwLfEiGxo7Iw4D4bLv0hwO5IyXvkUmjJFa8+s9T+rYDJ2buO75Wm59YSvvPX4qN145n53tSc5/8ASOXH4jv1tVy1fPncE3L5xFa1eKBd99gp80XQE7n4SVP8yWQku/AZXj4dS/wPCz4dnPwi1j4LF35/y+c2Lbnwm6t/Nvq85kVfk5FAcpatqeJGxZucep7V1JTm77GiNKdlC+7nqC6qm0xoYyN/lrEu3L+cHaY/n3tefx7lNPfGWk4JzRA1mZHE+GANb8ikw6TbD0G2xO1jN5xr6LJ0nSgZOszY7IDBv6wbSxeAkc9h/ZHS67d8CIs3lpS/aXOlOHOUJIUmGwEFLBKQ7b6QkshPqEklq6yqcyt2IpL27e+zpCv3hoCc+sazhw77mXrckBaFtNsPl2frH9dEprxvFo2yx6Vv9mz2Hvm28HYGHTeH52xVw+f8ZU5oweyEdPmkQiHnDEhCHc9pFjeduRozlkRA33XnUCHz1pIt9YdiQbyxbA05+El3+cLYeKBkLjU3DEtTD8LKg/NjvsPJlHayr9o7Y9CEu/s8fTqxb9mJZ0BbXjz+L0intJBhWEIexa+os9zl3+l29zSNlKNk36Lpz5ApzyEKmx72ZeRXbE1tuPmsK9nzyet8wY+spr4rGA1vLZNKeqCNf9hkdv+zRjgmWsHP4FBtf4m1pJyoX6EXNoSZfTvqkfFEJhCCPOhaGnEAYJPvXIEP574VoAJg+xEJJUGCyEVHBKaKcnZiHUVySGHMNh5ctYuPLv1hEKQ15+5Ju8bcPhrP7zZ177Iuku+MtF2XJlj2Pd8OdT4YWvwdJvwR2HwMbb9jgtte4mAJ6Jn8cN7zmSO1uOp6x7Dex6+tWTdi6Cpz7OS6lZtJTP4diJda8cuurUydz+0eO47h2HM334qwXEuLoKrjp1MsdNHsIlz32QdPFgeOYzEC+HXU+Rbl5BV/EIOOEW2qZ9HTJJ2HTrnvfx6Nvhife/9t9DPnj+X7OjnZpeyD5uW03THScyrvWPPBucwr+dUkLQtY3mQ3/GY+2ziK//9e6lWxgyaft36M4UM3bOe2DAIVAyiIEzP0gQZL9kjWn8JZP28s129TE/4BPrP0WQbOS4ju+yNpjF8ad8LBd3LUkCZoyo5bmOyWQaHos6ysGzc1F2vcHfVmZ3thxxHhvis7nzxZ0sXLWTUbVlVJa4E66kwmAhpMIShpTSSSZeGXUSHSCJIccyINHGM0seZ2db9yvPp9f+HxPXX02MDLPD+1nd0Lbvi2y+Ezb8AVZct+exbQ/A1vvghS9n1/AZfQkMO3WP05qW/Q+ZED59ZBc15UWsrziddBiHDTe/etLij9JTVM87ln+OS48c94Z3EAmCgK+eO4Mt3RX8suzHkCiDdAeNYz/NGbeOZv437udrty1l3o9b2cXg7HpCf6tjI6z7Daz6Gay8HpZ8AxoefUPvnVNdOwj/mmvZNZDuJvXghcQbF3ND6xUcdv7PSNQdBuetpX7aJTyWOo2a1Dpoev6VS7Qvu4GqoIUdxdMJEsWvXrtiDEH1VBg0D46/aa9vP2f0QDrrTuHil7/J+zd9i5ozHyKI+WVOknJlytAqnuucSmXXS6+5cUBBW/Rhwl3PQ7qDJU/dSOPquwg6NnLyzLF856JZ/MtZ06NOKElvmN8pq7Ck2okFIZmEQ3H7jLqjAZhV8uIrQ627U2mWPv5TtiQH8ULdZ5lQupE/PfnEPi/Rver/sh/X3QKZ9O4HN90G8XK6jvhvHqn4FDe9lGTN1m27nZLu2kVt13OExDjk0DMAmDluHMu7xpDe0fu+yWZoXMTi4ByaMjVccNiIf+g2x9VVsGDKYK59qojkiQ+wavQ3OO7uBexsSzK+roKfP7qGWCzO2o5aaFwMd8/LbmMLvTuehVA+ChZ9EJ77AvzlrfDkP+/5RhEuzh1uuo2ADE+1Tydc8z/wh3oSLc/xuU0fZ96536OyclD2xOKBEASUjDwFgOTWv2Sf72kl8ezHs5+PedvuF0/ugpaXslPrqqfsM8OVJ0xgUcchLDj+UgbWDDjQtyhJeg2lRXG2F88mRgZ2Lo46zoEXZqB5CU/Fz2F7z0DWvngzRTse4JG2OXzmLVO5eO4oTvub6cySlO8shFRYUq0ABEUWQn1G1SQoH80VI57gB39+mfOufZT3XPNTJqUfYXv16Rw+/zIAdq26nUxmL2VHqp1g8x1sStZTkt5J99aFrx4LQ9h0O8n6k7nwzvE8tmo7F1TcxMbHv7XbJZY+8XNiQUhD9ckEZYMBmD++luc7J5LZ+VT2Og2PQJjh5s2TmDu2lrrKkn/4Vt951Bh2tHVz5S1tnHHXoYwcWMkdHzuO33/waO76+HFcf/nhXLn2apLxgdlSaNk18OK/w9pfwcDDYOqnCONldFXPJVM2Cl7+EbSv2/1+7zoUnv70P5xtrzo2Zounrfe99nnJXbDyehpf/Cmbk3VcteETtGSqCFNtPNE+k6qJl+42je6v5s44nIaeAWxd/WD2iW0PUhJmF+QcPnbe7icHcTjyRzD6ra8Z5eRpQ/jTJ47n7UeOfqN3KUk6gDKDev//3vl4tEEOho4NkO7gng21rIodyZkDHqMq3skxx17GmEEuZyCp8FgIqbD0WAj1OUEAkz/M1GAR31iQYUbiOX4x4uOUxno4NPYQQRjSkRjGnKInWbG9dY+Xd6y5iWI6+UnHJ+kJ47zw5K9ePdj0AnSs57qV01jT0MxHR90PwPSO35Dp6Z2elu6ifsM1ANQf/e1XXnrE2FqWdE6iKNWYLV22P0QYFHPLxlGcOm3Im7rVEybVM3VoFYvX7uLkaYO58cr5DK0pJRYLmDasmiPH1dJTPJTvZH4OpXWw/UF4/kuw61m21V7AR54+msnP/46pj3yF77T+S/aif7se0oabsve87D/gvgXQsuJN5XzFkm/Ahj9m12C6fXp2zYRUx57nvfhvsOiDDGpfyKKeY7nguONZ1j6MlnQlH1l/NR9eMHGvlz9y3CCWpWZQtCs7Cqtn8730ZOIABANm7n5yUTVM/ADUvP5Q/ClDq97wdD5J0oE1fsQYVncPp3vLa0xtDkNoWwM9rzEdPB/1bkzxTPMwBo4/jYAMBDFGTz8n4mCS9OZYCKmgdHdld19KlNREnEQH1MR/gng5l/V8jq8P+DQliZLsostVU6FqHOGwt3Bs5TMsWrFm99dleuh8+ius6R7GRedeyepwFoOa7s6OJFr7G3oeOJdUGOcPWw7l9+c0UNqzmTUD38mg+C5WP3MDZFL03DWfobFNrCg6hfig2a9cuqIkQab28OyDxsWw7UG2FR9KV1jKqdPfXCEUiwXc+bHjeO7Lp/HDyw9nQHnxbscT8RinTh/Cb5aV0XnmOrikE858ge1jPsu5d03joRWNXD5/LBfOGcEPn47TUTpx9wWoX/hy9uP0L0DTc3DX7OyOZnubRpbqgIXvgocvhLW/gUzP7sc7t8Hqn8OYt0OiAtpWwfaHYePfLXid6oTV/83KogV8YO0XGXzst/jnGVuYV7mEX3d/iMtPmMvoQeX7/PuIDz6KYbGNbNiyjo4N99KYriZZNARKBv2jf72SpDwwY3g1z3RMIdj52J5ffxoeg+f+BRZ/FG4dD9v+HE3IN6v5JQA6yiYzaeZ52ecGzYNipyhLKkwWQiooHe1NABSVuI10n1I8ECZ9MFs6jL4YRl8EE94HJ98LiQoqZnyEqngnNeuu3e1lWxf/B4PSq7i39LMcMrKWIWXdjCveQMufL4GFl7GurZQPbf53rnv/Wczo/AOUj2bIgutZlxxObPVPoeFRilqe4wsbPwzH/3GPWBMmzSeZSdC2+lbCXU/xcPMMJg6uZGzdmx8WHosFxGL7Hr1y6RGjaO1Ocf0j6yEWZ1HTcM556FRiJQO495Mn8OVzZvD1C2cyob6CmxsOI9z+IPxpPtwxC5pfhPLRMPvf4cwXs9vYP3lldlezv9XdCPcvgLX/AxtvgoWXwS1jYP0fXj1nxQ8g3c3W2gsh1U7HrO9l1zBa88vdr7X8e5Bs5MvLT2XQ1Es4atpkSoafCKc9zj+/7+t8/JRJr/n3MWXGWwB4+rFfUtO9jCCIUTTo0H/gb1SSlE+mD6/mibaZFKd2QMuyVw9sfxjuOxaW/Bus7P16/jebChSCsHkJjakaZk2YSLxqPIw4ByYUwA6gkrQPFkIqKF2dvYVQqSOE+pzZ34aLdsFRN8D8n8Hcv9lpq/ZwXoydzEn8L6mO7bR0dLDoD++ibuUXWdgxl4vPyS6uHJv+KQAGbP89qyov5PSl3+L0k9/BzJE1cMz/wfE3U15axtLisxibXkxm5fX0hEUsLT6byXvZxnzB9NE0pSup2PwrCOGhbYO5fN7BXZvm8DG1nD1rGD96aBXv/e9FXPyjx0jEYvziPUcwtKYUyC7a+aWzpvP7bUcQZHqgcwtkslPgft1yMf92+1Ke2VHGD4Nr6R5xCay87pXplvS0wAOnw65ns7t1Tf9C9vl0Nzz2Lmh9OTvq5+Uf0TDgdK69Pbt+0Lm/L+bhntMJt/4JOrf2viYJL36N7rCElzKH8YUzp716I3XzIHj9LzGDRh9NmgTHtP4nALWJlj2ni0mSCkZVaREbi47IPtj+YPZjdyMsfAdUTuDmCc/zHCcQAmx/KKKUb06ycSkru0ZxyIjq7JT3E26FCe+NOpYkvWkWQioo3Z3ZKWMlZRZCfU4sDom9Ty0C2D7uS5TGumh++AP88Q/f4IjuX/FQ6hxKTriRgb0LPFdPey8b0qN5qXsK5y5+H/MmDuGCOb27gRVVQe0cAAZMvZxYEBJb/38sbJvJabP3vsbNuLoKVqenEABrUuPIlAzlbTlYrPjqM6eRiMVYsrmZj508iXuvOp6pQ3cfFXfilHp6Bs7ng9uvpfMtS2g45Mc81rOA/7f8OH726BouuG4h3/rTCq7deBqkO7O7raXa4cGzYNczPDvmp1z16BjOfOgt/Kr9vZBshDAFj74dXr4eunfyX5vO5KSBS+gsGsGcqYfx1RcPIwgz2WloAC99C9Kd3NF0FO+cP5aq0qJ//GYT5XTPuZaWsJr1ycEk6IEBhxyAv0VJUlQGDp3GtlQ9bHsw+8TLP4aOjSwe8V9cdfN63rX0w6TDGKmGJyPN+Q8JQ2ItL7GyexQzR/h9qKS+IRF1AOkf0dO7hlBpmXO1+5vZhxzNfz3xbj4R/JyzMw+Sicc5+a3fg8oxu523rfJUZrXfwJCyHq65ZPZeFxc+fNaxrHhuHJNL1vB499F8+Kix+3zfZ0f9kH99ZCErusfw9QtmUVoUP9C3tocRA8pYePVJVBQniO9jelkQBHzkpIlc+atm7v7qQ73PfYprLpnNxMGVLNvaysvb2/jBQxk+fPgwStb8Cl7+CexYyNJx13P+zbXUVjRw6Mgafrj17bzYOoRPH1tJ/ap/hcZFdJRP55fPj+bq2S9SOvJcvnPUbL54U5y7th7NaUu+SbzuKFjyTQB+2ngJN7zG3+HrKZ/2AbYWXcj9y7bzpZMHESTK3vS1JEnRO2JMLc8+P55TN95CrGMrPZvuZjuTuewPKaYNq+aG957Cyt+OZWqwGroaoLQ+6sivr2sbRZlmVneP5qK9jCqWpEJkIaSCkurObkldUelvZvqb2opiLn3X93n2zjUcWvQAVIyDTNce5w2bcRHxRb/gJ2cHDK4u3eu1ihMxVlWcx7ieHzD18LdTWbLv/wo/eOocLjpqOo3tSSYNrjxg9/N6qt/AaJvTpg/hF+8+ghc2NVNRkuCEyXVMHJz9JvWQETV0p9Lcs2Qr9+06hDN77iYIYmSmf5GrHpjM6No09151PCWJOOt3dvDWH4Us+kuCuy65k+Kn/olrG97OEQM2U5rZBUMWAPAvZ0/nsms+zEnV7yX+wGlkSLApOZjDDzmW+qqS/brfoyfWcfTEuv26hiQpP8yfMIjbHp/MW2qegOe/SGzHQm5vOJfL54/hwwsmUldZwqNFpzKN6wlXXEcw68tRR359basASFVMyMkvhyQpF5wypoKSTvYWQhUDI06iKAwbUMHsBVcTAMHcH0D1lD3OGTHxFOIXNTBh5rmvea0ZC77KrwfdztlHzX/d962rLGHykPzbyjwIAhZMHczHTp7E+44d90oZ9FcliTjfv2wO9zXNIRUmCMOQ59esZ9nWVj53+lRKEtlvaEcPKue7l85mdUM7n184mK8Ed3Dtqtn884kTYNRFMOQkILt20fxZh/GlTR+iqf5CMmHIoz0nc/VZ0/bIJknqvyYPruLerjPIEMDqXxCnh23l2Y0R6nqneTP2UgCSq3/96gvb1sCO/JxGFratBaCmbu/TzCWpEDlCSAUlk2ylI1NCVdn+jUZQAdt0O8TLXikp9hBLQEnt615mdH01V5x++gEOl38OGVHDKad/glk3Hk15IiST6uDMmUM5c+bQ3c47ZmIdVx4/nusfXg3ARYePZMH8Q4FTdzvvgjkjOO3Bk9myeAU/GHEfx5z4AcqL/VIiSXpVLBYwYcxk7m8/gVMrHqQ7U8SwSSfvds7hM46ge10RG5jMRIBl34XnrgaC7CYT8fz6Xq+lcTU1wPDhk6OOIkkHjN/Fq7D0tNCeLmOQP4D2X8ldMOw0cJ2ZN+ysWcMYV7eAb9z1EnNGDeATp0ze62inz58xlcuOHE1TZ88+F8ycPKSKGcOreWTzZP5y+vOcO/HgL7ItSSo888cP4uO3/TMvzPwL7ZkyTpw2arfjI2sreSE1lWFti2H97+HpT2ZH/rYsh8anof6oiJLv3a7tK8mkqpg5dmTUUSTpgPGnahWUIN1OR1hO/T4W2lU/cPQvIcxEnaLgTB9eza/eN+81zwmCgLF1Fa97rX+/YCYrtrVy7pxRr3uuJKl/OmnqYL59dzXvWv0VkqVj+e1e1uFbPODzvLP9nfDIxWSqphCccBfBbeNh/e9g4KGvuftoriVb1rAlNZipQ11QWlLf4RpCKiixdBtd5M83B4pI4H9dUZo9agCXzLUMkiTt26jacu7/1ImMP+R8Ll1w4l5Hpk6ccSrf33YZGeJcufwDvOu328mUDIPl18C6GyNIvW8l3RvpKBpJIu73IJL6DkcIqaAkMm108/ojGCRJkhStoTWl/L/zD9nn8SPG1vKBXZdzS8f5rGsrI7ZzB49Mmc5xJQ0EK6+DCe/JYdp9a+5IMijYRmPlCVFHkaQDyopbBaUo005PYCEkSZJU6EqL4hw1YRDr2so4fnI9173jMO7fMZEgTEHjYti5KOqIADQ9dhWV8U4G1I2LOookHVAWQiooJbSTiu05B12SJEmF56SpgwH48IkTOP2QYRw171wA0mGc1EvfjTLaq3YuBmD4iGkRB5GkA8tCSAWllA7ScUcISZIk9QVvO2IUt37kGOaNHwTA6ceewbMDPklAmmD9byDdE3FCqEquBqCkZnzESSTpwLIQUkEpCzoIE+7uIEmS1Bck4jFmjRzw6hNBwOwz/5OHSj5EnAxtmx6JLhxAupuaYEf284ox0WaRpAPMQkgFI8ykKY91gYWQJElSn1Y/97P0hHE2LPldpDmaty8hHoSkKYaSukizSNKBZiGkgtHV2QpAUGwhJEmS1JfNGDOaF7pnUrnznkhzbF2XXT+orfIwCIJIs0jSgWYhpILR3t4IQNxCSJIkqU8LgoDm2tMYFVtFU8PLkeXIbHsAgNi4yyLLIEkHi4WQCkZ7exMA8ZLqiJNIkiTpYKudeB4A21bcGlmGge1PEIZQNeltkWWQpIPFQkgFo6szWwgVldZEnESSJEkH26ixh7MpWU/x9uimjdWGG2mjGkoHR5ZBkg4WCyEVjJ6/FkIlAyNOIkmSpIOttrKERd1zGdr5KGT2sf18TwuEmYPy/qmO7RTRw47EtINyfUmKmoWQCkaqaxcAxWUDXudMSZIk9QVri4+jjDbY8QS0b4CHL4TGp6BlBdw+FX5XA8985rUvEoav/0aZHsikYO2voXMbAA2blxAEsLn+PQfgTiQp/ySiDiC9UelkMwAl5bURJ5EkSVIudA06kVRrjPiT/0Qw9u2w9T6Il2b/tG+Amumw+Q447D/2fHGqHZ76OGy6HY76JQw7bd9v9MLXYNVPoWsrJCrhiB/Rsmktw4DqUcccrNuTpEg5QkgFI9NbCJWWO0JIkiSpPxg7dASf2fAJkkEVPP+vhNXTCNf9lsyaXxOOeyeMeze0LIfOLbu/MAzhgbfAqp9DrAQePAPW/M/e3yTTAyuvg66t3NN2Ii3FE+DZzxBrfJLtPQMZPWLyQb9PSYqChZAKR7IFgIoKRwhJkiT1B5OHVnFT00k8PPZWmoa/l6DxScIwTSzs5otLT+D55Ozsidsf3v2F2+6Hhkdh7n/BWUtg4Bx47N2w9f5Xz9m5CB48B5b/AJKNbO2p46NrPsq3154NnVsY13kXLyWnUlNenLP7laRcshBSwQhSzXRkSigrKYk6iiRJknJg0uBKAL79p+Ucdd8F/LDxCjKxMrpiA7htbS0X/KaT7qACtj+0+wuXfgdKh8KE90FyJ+Gu5wiLB8Bj74R0V+8534LNt8MznwLgK9s+ybcvncdN2+eQpIwEPWxNHJLL25WknLIQUsEIUq20Z8oJgiDqKJIkScqBqtIizpw5lFgQcMbMkVx0xfUkLmmi9OxnWPTFUzh60hCe7phOuO3BV1/UtAS23gNTPgbxEn7+TIYbGs4gSO6EQ76SXX8o2US46TY2FR9BCKzoGsWCBZdz3uwRnDFnIvc0zwOgo+rwKG5bknLCRaVVMBLpFtrDSuqjDiJJkqScue4deyllKsdSCpw9axh/eXgaR5X9EroboaQW1v0aghhMeD+/XbyBr92+lAFF7+HUmsUMX34NwcT3w/rfEWSSfHDJZUwrnU9z1Xx+ePgoAC6fP4av/uJshia2ER95dG5vVpJyyBFCKhiJTBtdYUXUMSRJkpQnFkwZzLOdvYs+Nz6VXUx6/e9gyElkiuv44YOrmDWyhq9dNI9vbbmcoGUZbL6TnuXXs6p7JBMmn8CYIz/GZy8+l1gsOwr90JE1dNUcyUWrvsOYoUMjvDtJOrgshFQwSjKtdFIZdQxJkiTlicHVpYQDD8s+aFwMTc9D60oYfTEPLN/Omh3tvO/YcZw2fQiPdp9IU1gPC99JUfNTXLf9Yj5x6hQ+vGAiE+pf/R4zCALeffQYiuIB04ZWRXRnknTwWQipYBSHbSRjFkKSJEl61fwpE1nbPYT0S/8JCy+HIE56+Plc9+AqhtWUcubMYZQWxblk3nh+vPUM6Gni/pYj6Br1DsbW7X30+SVzR/HY1SczuLo0x3cjSbljIaSCUUYbPYG/pZEkSdKrzpo1jGVd4wiTLRDEYfJH+PaDO3lq3S6uOnUyRfHsjzyfPm0KO4e/n+9texs3FX+Vb7/10H1eMwgC6ird2VZS3+ai0ioYZUEHKUcISZIk6W9MHFzJg/E5JHgcTrqXm19Kcv3Dz/Kuo8Zw8dxRr5wXjwV8/dJjeWL1ND40rvaVokiS+iv/F1RhCDOUBx2k49VRJ5EkSVKeGTz2GACW3PMZHrz3v5g3rpZ/OXv6HufFYwFHT6yzDJIkHCGkQpFqIxaEhEUWQpIkSdrd4XNOZfudA5nRdgMfHTKOAW/9iqWPJL0OCyEVhExXEzEgTNREHUWSJEl5ZkT9YNaeuY4V3U2Mqo5R5vo/kvS6LIRUEDo7G6kAYsWOEJIkSdKextZXAW5AIklvlOMoVRC6O3YBECsZEHESSZIkSZIKn4WQCkJXZxMA8RKnjEmSJEmStL8shFQQejqzI4SKSh0hJEmSJEnS/rIQUkHo6W4GoLh0YMRJJEmSJEkqfBZCKgiZ7uyUsZJyRwhJkiRJkrS/LIRUEMJkM5kwoKzcNYQkSZIkSdpfFkIqCGFPM22ZMipLi6OOIkmSJElSwbMQUkGI9+xiV6qa8uJ41FEkSZIkSSp4FkIqCMU9O9iZqqGiOBF1FEmSJEmSCp6FkApCabqBpsxAYrEg6iiSJEmSJBU8CyEVhLJMIy245bwkSZIkSQfCfhVCQRAMCILg90EQLAuC4KUgCI4KgqA2CIJ7gyBY2fvRn+K1f8IMFeEuOmODok4iSZIkSVKfsL8jhL4H3B2G4VTgUOAl4PPA/WEYTgLu730svXnJXcSDND1FdVEnkSRJkiSpT3jThVAQBDXA8cDPAMIwTIZh2AScB9zQe9oNwPn7G1L9XNd2ANLFQyIOmKkvgAAAIABJREFUIkmSJElS37A/I4TGAQ3AL4IgeCYIgp8GQVABDAnDcEvvOVsBf4rX/ukthILS+oiDSJIkSZLUN+xPIZQADgN+GIbhHKCdv5seFoZhCIR7e3EQBB8IgmBxEASLGxoa9iOG+rpUR7ZfTJQPjTiJJEmSJEl9w/4UQhuBjWEYPtH7+PdkC6JtQRAMA+j9uH1vLw7D8MdhGM4Nw3Bufb0jP7RvnS3ZQqikykJIkiRJkqQD4U0XQmEYbgU2BEEwpfepk4GlwK3AFb3PXQHcsl8J1e91t28lEwaUVzr7UJIkSZKkAyGxn6//KPC/QRAUA6uB95AtmX4bBMH7gHXAJfv5HurnUu3baExXU1tZFnUUSZIkSZL6hP0qhMIwfBaYu5dDJ+/PdaW/FXZtZ2eqhkGVxVFHkSRJkiSpT9ifNYSknIgnG9jRM4CB5RZCkiRJkiQdCBZCyntFqR3sTA9gYHlR1FEkSZIkSeoTLISU98rSO2ijlkTcf66SJEmSJB0I/oSt/JZOUkobXbGBUSeRJEmSJKnPsBBSfkvuAiBdVBtxEEmSJEmS+g4LIeW3ZCMAieLKiINIkiRJktR3WAgpv3XvBGBO0eMRB5EkSZIkqe+wEFJeC9s3ANBTNCTiJJIkSZIk9R0WQsprXS3rAEiXDIs4iSRJkiRJfYeFkPJaT+tGADLloyNOIkmSJElS32EhpLyW7tgCQKLSQkiSJEmSpAPFQkh5LexuAKC8emjESSRJkiRJ6jsshJTXYsldAFRYCEmSJEmSdMBYCCmvxVPNhCHUVNdHHUWSJEmSpD7DQkh5LZ5poydMUFNeHHUUSZIkSZL6DAsh5bVE2EV3WEw8FkQdRZIkSZKkPsNCSHktTpKusCzqGJIkSZIk9SkWQspfmTRx0nQFFVEnkSRJkiSpT7EQUv7qaQKgK6iOOIgkSZIkSX2LhZDyV/dOAJKx2oiDSJIkSZLUt1gIKX91bASgO+GW85IkSZIkHUgWQspbPS1rAUgVD4k2iCRJkiRJfYyFkPJWd28hlC4bEW0QSZIkSZL6GAsh5a2u7nYAgsoxESeRJEmSJKlvsRBS3mpKTASgqGZixEkkSZIkSepbLISUt2ItS0hmEpTVOEJIkiRJkqQDyUJIeauy5Qle6JxIbfWAqKNIkiRJktSnWAgpP6W7qO1+jiU9sxhSXRJ1GkmSJEmS+hQLIeWnnYtJ0EN79TyCIIg6jSRJkiRJfYqFkPJSy4YHAKgadULESSRJkiRJ6nsSUQeQ9qZz00Ns6xrFoRPcYUySJEmSpAPNEULKS7H2VaxKjmXasKqoo0iSJEmS1OdYCCkvFaWbiJfVkYj7T1SSJEmSpAPNn7aVf8KQyqCFoLg26iSSJEmSJPVJFkLKP6lWEkGG0EJIkiRJkqSDwkJIeae7fTsAsVILIUmSJEmSDgYLIeWdlpZtABSV10ecRJIkSZKkvslCSHmnvaUBgOLyQREnkSRJkiSpb7IQUt7passWQuUVgyNOIkmSJElS32QhpLyT7MwWQpXVFkKSJEmSJB0MFkLKO+nOnQBUDxgScRJJkiRJkvomCyHlnbC7kbZ0GQMqKqKOIkmSJElSn2QhpLwT69lFS6aKRNx/npIkSZIkHQz+xK28k0g10h5WRx1DkiRJkqQ+y0JIeac43URHUBN1DEmSJEmS+iwLIeWdsrCZZGxA1DEkSZIkSeqzLISUdyqCFnoSA6OOIUmSJElSn2UhpPwShlTFWskU1UadRJIkSZKkPstCSHmlq7OJoiBNUGIhJEmSJEnSwWIhpLzS2rwdgHjZoIiTSJIkSZLUd1kIKa+0NG8BoNhCSJIkSZKkg8ZCSHmlo+F5ACrqZ0ScRJIkSZKkvstCSHklbHyGjkwJw0fNijqKJEmSJEl9loWQ8kpFx4u8nBxPVVlp1FEkSZIkSeqzLISUP8KQIZnlbI1NjTqJJEmSJEl9moWQ8kfHeiqDVtrKXT9IkiRJkqSDyUJIeaN96yIAgoGzI04iSZIkSVLfZiGkvNG6ZTHpMEbV0DlRR5EkSZIkqU+zEFLeiO94mBVdoxk7ZHDUUSRJkiRJ6tMshJQfkrsY1PEkf249ktG15VGnkSRJkiSpT7MQUn7YfBcx0iwNTqA44T9LSZIkSZIOpkTUASSAcOOtNKYGUDX86KijSJIkSZLU5zkUQ9ELM2Q23819LUcwd3xd1GkkSZIkSerzLIQUve6dxFPNLO0cz7xxtVGnkSRJkiSpz7MQUvS6GwDIFNcxcmBZxGEkSZIkSer7LIQUubBzOwCz67sJgiDiNJIkSZIk9X0WQopcR/N6ACZX7Ig4iSRJkiRJ/YOFkCLX1bQq+0n5iGiDSJIkSZLUT1gIKXLptg0AxKvHRhtEkiRJkqR+Yr8LoSAI4kEQPBMEwe29j8cFQfBEEAQvB0FwYxAExfsfU31ZpnMrAOVVjhCSJEmSJCkXDsQIoY8DL/3N428B14RhOBHYBbzvALyH+rBYd3ZR6aqaIREnkSRJkiSpf9ivQigIgpHAWcBPex8HwEnA73tPuQE4f3/eQ31fIrULgGoLIUmSJEmScmJ/Rwh9F/gskOl9PAhoCsMw1ft4I+A8IL2monRL9mNZfcRJJEmSJEnqH950IRQEwdnA9jAMn3qTr/9AEASLgyBY3NDQ8GZjqA8oCttJhXGIu9yUJEmSJEm5sD8jhI4Bzg2CYC3wG7JTxb4HDAiCINF7zkhg095eHIbhj8MwnBuG4dz6ekeG9FthSDFddFMadRJJkiRJkvqNN10IhWF4dRiGI8MwHAu8DfhzGIbvAB4ALuo97Qrglv1Oqb4r1UosCElSHnUSSZIkSZL6jQOxy9jf+xxwVRAEL5NdU+hnB+E91Fd0ZacLJmPVEQeRJEmSJKn/SLz+Ka8vDMMHgQd7P18NHHkgrqu+r6djG0VAKj4w6iiSJEmSJPUbB2OEkPSGtTVvBSBd4jpSkiRJkiTlioWQItXeshmATOmwiJNIkiRJktR/WAgpUt0dOwCIV4yKOIkkSZIkSf2HhZAitbLoZABKqy2EJEmSJEnKFQshReaFx3/BskU3AFBdMyTiNJIkSZIk9R8HZJcx6c0YsfIqPlHXBEBJhYtKS5IkSZKUK44QUiTamzdTG2969YmSQdGFkSRJkiSpn7EQUiS2rl8MQGP5kRAvhdKhESeSJEmSJKn/cMqYItG67VkAmg//H2rra6CoMuJEkiRJkiT1HxZCikbzizSmqhk5bDwk4lGnkSRJkiSpX3HKmCJR1bmMDZlxFFkGSZIkSZKUcxZCyr0wZBgvs6toctRJJEmSJEnql5wyppzrbllDeayTnooZUUeRJEmSJKlfcoSQcm7bxucAKKuzEJIkSZIkKQoWQsq5lsb1ANTWT4g4iSRJkiRJ/ZOFkHKup20TAHX1YyJOIkmSJElS/2QhpJwLOzfTnK5gUM3AqKNIkiRJktQvWQgp5xLdW9iZriMeC6KOIkmSJElSv2QhpJwrS22nNaiPOoYkSZIkSf2WhZByrjpsoDMxJOoYkiRJkiT1WxZCyqkwk6Y2vpN0ydCoo0iSJEmS1G9ZCCmnWlu2URSkCMqGRx1FkiRJkqR+y0JIOdW4Yy0AxVUjow0iSZIkSVI/ZiGknGrdtR6AigGjI04iSZIkSVL/ZSGknOps3gBATe2YiJNIkiRJktR/WQgpp1LtmwGoqx8bbRBJkiRJkvoxCyHlVKxrM03paopLyqKOIkmSJElSv2UhpJwqSjXSEtZEHUOSJEmSpH7NQkg5FQ+76aE06hiSJEmSJPVrFkLKqXjYRQ8lUceQJEmSJKlfsxBSTiXCbtKBhZAkSZIkSVGyEFJOJUiSpjjqGJIkSZIk9WsWQsqpRNhNOuYaQpIkSZIkRclCSDlVFCTJOGVMkiRJkqRIWQgpp4pIkolZCEmSJEmSFCULIeVUcZAk45QxSZIkSZIiZSGknCoJugkthCRJkiRJipSFkHKqOEgSxi2EJEmSJEmKkoWQcibVkyQRZMARQpIkSZIkRcpCSDmT7OkAIHCEkCRJkiRJkbIQUs4ku7KFEBZCkiRJkiRFykJIOZNMZguhWKIs4iSSJEmSJPVvFkLKmZ7eQihIOEJIkiRJkqQoWQgpZ3p6OgGIJcojTiJJkiRJUv9mIaScSfWOEIo7QkiSJEmSpEhZCClnUr27jMWLXENIkiRJkqQoWQgpZ1K9U8biRU4ZkyRJkiQpShZCypl0byGUcISQJEmSJEmRshBSzmRSvYVQsYWQJEmSJElRshBSzvy1ECoqdsqYJEmSJElRshBSzmRSXYCFkCRJkiRJUbMQUs6EqewuY8UWQpIkSZIkRcpCSDkTprMjhIpLKiJOIkmSJElS/2YhpNzpLYRKXFRakiRJkqRIWQgpd9Jd9IRxEomiqJNIkiRJktSvWQgpdzLdJDPFBEEQdRJJkiRJkvo1CyHlTJDuopviqGNIkiRJktTvWQgpZ2KZLpKhhZAkSZIkSVGzEFLOxMIuesKSqGNIkiRJktTvWQgpZ2KZbnqcMiZJkiRJUuQshJQz8bCbVGAhJEmSJElS1CyElDPxsJsUThmTJEmSJClqFkLKmUTYTSqwEJIkSZIkKWoWQsqZBEnSjhCSJEmSJClyFkLKmQTdpIPSqGNIkiRJktTvWQgpZ4pIkok5QkiSJEmSpKhZCClnioNuCyFJkiRJkvKAhZByppgkYcwpY5IkSZIkRe1NF0JBEIwKguCBIAiWBkGwJAiCj/c+XxsEwb1BEKzs/TjwwMVVISsOkoSOEJIkSZIkKXL7M0IoBXwqDMPpwHzgw0EQTAc+D9wfhuEk4P7ex+rvwpCSWA/EHSEkSZIkSVLU3nQhFIbhljAMn+79vBV4CRgBnAfc0HvaDcD5+xtShS/V0wlAIhZGnESSJEmSJB2QNYSCIBgLzAGeAIaEYbil99BWYMiBeA8VtuS2hQDUp1dGnESSJEmSJO13IRQEQSXwB+ATYRi2/O2xMAxDYK9DQoIg+EAQBIuDIFjc0NCwvzGU53qe+yoADcP+KeIkkiRJkiRpvwqhIAiKyJZB/xuG4R97n94WBMGw3uPDgO17e20Yhj8Ow3BuGIZz6+vr9yeG8l1yF1Utj9GVKWb6HGcQSpIkSZIUtf3ZZSwAfga8FIbhf/7NoVuBK3o/vwK45c3HU5/w8k+IkWZp5ggqS4ujTiNJkiRJUr+3PyOEjgHeCZwUBMGzvX/OBL4JnBoEwUrglN7H6sd2hEMBaBny1oiTSJIkSZIkgMSbfWEYho8AwT4On/xmr6u+Z92GFdQB4w45L+ookiRJkiSJA7TLmPRa0h1b6c4UMXrY2KijSJIkSZIkLISUA/HULpoy1QQx/7lJkiRJkpQP/AldB11Rqom2THXUMSRJkiRJUi8LIR10JZn/v727D7q0rO8D/v2d52WXXWF5MypvKg3V4CSsZKOimUAgGrAqprVWm1TrGJ1m0o5Ok+lopqnaVDOdVpOmOs44aiQZI001ilGxkEgqEyuGF6ugEF4UF0HeFpZlX563c/WPc688LLvAU/fec/B8PjPPPOe+7vs85wfPb87Z/e51Xfd92RmBEAAAAEwKgRC9O6xtz+46ctxlAAAAAB2BEL3bkAeyMNg07jIAAACAzv/3befh8Tp88ECWzBACAACAiWGGEP1a3pV1tZiVuaPGXQkAAADQEQjRq7Zwb5JkOHf0mCsBAAAA9hII0auFnfckSWrdMWOuBAAAANhLIESvdj94d5JksN4MIQAAAJgUAiF6tWfnKBCaPezYMVcCAAAA7CUQoldLu0eB0LoNTx5zJQAAAMBeAiF6tbx7tKn0+o1mCAEAAMCkEAjRq7awLXuG89m4cdO4SwEAAAA6AiH6tXhv7l95Ug5fPzvuSgAAAICOQIheDRbvy/3LhwuEAAAAYIIIhOjV7PJ92b5yeDbOC4QAAABgUgiE6NX88P7saEdkMKhxlwIAAAB0BEL0am74YBbq8HGXAQAAAKwiEKJXs20hbbBu3GUAAAAAqwiE6NVMFlMzAiEAAACYJAIhejWXxdTM+nGXAQAAAKwiEKI/rWW+FlOzAiEAAACYJAIh+jNcSpIMBEIAAAAwUQRC9Ge4Z/TdptIAAAAwUQRC9GdlIUnsIQQAAAATRiBEb4bLoxlC9hACAACAySIQojeLi7uSJINZS8YAAABgkgiE6M3Cwu4kyYwlYwAAADBRBEL0ZnGpmyE0d9iYKwEAAABWEwjRm6XF0R5CM5aMAQAAwEQRCNGbpW4PodlZM4QAAABgkgiE6M3S0mgPodl5gRAAAABMEoEQvVnulozNztlUGgAAACaJQIjerCyPZgjNmSEEAAAAE0UgRG9WlkczhObcZQwAAAAmikCI3qwsjQKh+fkNY64EAAAAWE0gRG+G3QyhdevMEAIAAIBJIhCiN3sDITOEAAAAYLIIhOhNGy4kSdavFwgBAADAJBEI0Zvh8p4MW2X93LpxlwIAAACsIhCiPyt7stjmMpjRZgAAADBJ/E2d/gwXstjmxl0FAAAAsA+BEL2p4UKW2vy4ywAAAAD2IRCiNzVcyFLMEAIAAIBJIxCiNzVcyHLMEAIAAIBJIxCiN4PhYpYEQgAAADBxBEL0ZtAWs1ICIQAAAJg0AiF6M9MWsmKGEAAAAEwcgRC9mclihmYIAQAAwMQRCNGbmbaYlcG6cZcBAAAA7EMgRG/mspBWAiEAAACYNAIhejObpbSBJWMAAAAwaQRC9GaultIsGQMAAICJIxCiF621zGUxbbB+3KUAAAAA+xAI0YullZZ1g6XUjBlCAAAAMGkEQvRiz/JK5ksgBAAAAJNIIEQv9iwuZ76WkpnDxl0KAAAAsA+BEL1YWFzIoJoZQgAAADCBBEL0YmFhV5JkMGtTaQAAAJg0AiF6sbi4J0kyM2uGEAAAAEwagRC9WFzcmSSZmbOHEAAAAEwagRC9WFrcnSSZsWQMAAAAJo5AiF7cvf2BJMkRG5405koAAACAfQmE6MX37r4/SXL0EUeMuRIAAABgXwIhevH9e7clcZcxAAAAmEQCIQ661lruuG/76GDGXcYAAABg0vQWCFXVuVV1Q1XdVFVv6+t1npBW9iStPfZ1j+eatdr3Zw6Xk+HK43vuPV9Nvvmu0eNvvDO5+rf3e9ndOxaSpR2jg4EZQgAAADBpegmEqmomyQeSnJfk1CSvrapT+3itJ4Q2TK59d3LDHyW770guenry9S4j23PX/p+z/frksycnWz998OrYc0/yuWcnN7w/efA7yU0fHtVy8eZk+7dH1+y4OXngxtHjpQdH4dVet38h+eY7R8+77veS69+b3HPFI17m+h/syNmHfy0rg43JUacdvPoBAACAg2K2p5/7vCQ3tdZuSZKqujDJ+Um+1dPrTYYHv5Psui1Z3DaaGdNWkoW7koVtyT3/J7nji8mtF45CoOvfm9RM8q3fT174Z8kJr0zuuDhZWUyOfE5yxZuSnd9NvvrG0XOfdHKy48bk2BckJ74q2X5tcsRPJYPZ5M7LkuveMzo+6dXJVW9JfvpdyTFbRs/d+hfJplOTB29Odvx9cvVbk6v+zajmo7ckO29NPv+cZMMJyRHPTn5wabLhxGT37aPjF1+ePHhL8pP/KrnlguRrb0pmNiSzG5NrfivZ/F+SozYns4clSW684978401fyfJxL8/M7Ibx/T4AAACA/arWw7KkqnpVknNba7/eHf+LJM9vrf3r/V2/ZcuWduWVVx70Og612z9+co6r7+z33FULW/KUmTtzwuzWfHbXr+Sc9Zdk42BnkuS6xedkUC0/NffwvOwvd52fl2+4KMNWGVTLShtkpoa5f7gpRw6254o9z8/cYDmnz1/1w7G9tg+PyKbB6NbvO4cbsnGwK0ny5T1n5Yx1l+e25afn47tel79dODNHDbbl3PWfz5nrv5QjB9ty8e6X52WHfSZXLj4vL1p3eXa2jTlysD3XLP5sPrf7/Pzupv+QC3f+au5ceWrecsR7kySX7D4379vx9iTJKctfzn8/7neTM/8yOf5lB/d/MgAAAPC4VNVVrbUt+zvX1wyhx1RVb07y5iQ56aSTxlXGQfWlDW/LPQ8uZWeOyFwWs5KZ7MrheU59Na9Z919z9fDM3Do8Lf9r3b/NPdmcze1vcmc7MefN/0mW2ly+MXxRLmq/kWfWdZnNUi5b9+oc13Zkc/4m97ej84Hh+3JKfT2n1DXZM9yYM9Z/PsttLt8b/sN8pP1enrKyNT9Tl2dHjsp5g4/l4uHrc107IzfntJwx/Fw21//Op+bekbvbp/Mrs+/Pv9/0znxo+J5c1V6cv81v5Lacmd8ZvD7/dMOFWchh+crcv8wNw5fklYMP5srhz2XL/F/l6tlX5D0rH8vW9c/KMLP5TyvPzS/XBTlr/WW5ZP6teUO9Iz9RW7Mw2JR1T33JuH8lAAAAwH70NUPojCTvbK39cnf89iRprf3+/q7/cZkhdECtjZZx3fjBpC0nL712tCwsSXZ+b7SPT2p0R65f+nJyzM89/LlpSe2z3VMbJl/5teT2i5P1Tx4tOzumC/323J185vjkuJcmTzs3Of7lyYbjH/78Xbcn3/3T5B/8erLumIfGr3hTsvVTyS9e8tDPS0YbT1/6wuTeryXrjk22vD95+j8bndt2TfLF05PBfDJcTNY/LXn+h8wOAgAAgDF6tBlCfQVCs0n+Psk5Sb6f5O+S/PPW2nX7u/7HPhDaa2HbaH+ek16dVD00fvk/SR64IXnRJ5Ijf/rgvNZXXjcKfJLk7EuTp/7S43teG442kt7f3j+7bk9u+eNk19bk5Dckxz7/oXMXPWO0F9FPnJWc/VfJYOZH/S8AAAAAfgSHPBDqXvSlSf4wyUySj7bW3n2ga6cmEDqQNnzkDKAf1XB5tCn0YD6ZPzqZmT+4P39ft39xdPexF14w2mwaAAAAGKux7CHUWvtCki/09fN/rBzsMCgZ3X1s4yHcm+m4c0dfAAAAwMTrIYkAAAAAYJIJhAAAAACmjEAIAAAAYMoIhAAAAACmjEAIAAAAYMoIhAAAAACmjEAIAAAAYMoIhAAAAACmjEAIAAAAYMoIhAAAAACmjEAIAAAAYMoIhAAAAACmjEAIAAAAYMoIhAAAAACmjEAIAAAAYMoIhAAAAACmjEAIAAAAYMoIhAAAAACmjEAIAAAAYMoIhAAAAACmjEAIAAAAYMoIhAAAAACmjEAIAAAAYMpUa23cNaSq7k5y67jrOEiOTXLPuIvgCUXPsBb6hbXSM6yVnmEt9AtrpWdYKz3zo3l6a+3J+zsxEYHQj5OqurK1tmXcdfDEoWdYC/3CWukZ1krPsBb6hbXSM6yVnumPJWMAAAAAU0YgBAAAADBlBEIH34fGXQBPOHqGtdAvrJWeYa30DGuhX1grPcNa6Zme2EMIAAAAYMqYIQQAAAAwZQRCB0lVnVtVN1TVTVX1tnHXw2Soqo9W1V1Vde2qsaOr6tKqurH7flQ3XlX1R10PfaOqTh9f5YxLVZ1YVZdV1beq6rqqeks3rm94hKpaX1Vfq6r/2/XLu7rxZ1bVFV1f/I+qmu/G13XHN3XnnzHO+hmfqpqpqmuq6nPdsZ7hgKrqu1X1zar6elVd2Y35XOKAqurIqvpkVV1fVd+uqjP0DPtTVc/q3lv2fj1QVW/VL4eGQOggqKqZJB9Icl6SU5O8tqpOHW9VTIiPJTl3n7G3Jfnr1topSf66O05G/XNK9/XmJB88RDUyWZaT/FZr7dQkL0jym937ib5hfxaSnN1aOy3J5iTnVtULkvznJH/QWvvJJPcleWN3/RuT3NeN/0F3HdPpLUm+vepYz/BYfrG1tnnVrZ99LvFo/luSL7bWnp3ktIzeb/QMj9Bau6F7b9mc5GeT7Ery6eiXQ0IgdHA8L8lNrbVbWmuLSS5Mcv6Ya2ICtNa+nGTbPsPnJ7mge3xBkleuGv+TNvLVJEdW1dMOTaVMitbaHa21q7vHOzL6A9Tx0TfsR/d7f7A7nOu+WpKzk3yyG9+3X/b20SeTnFNVdYjKZUJU1QlJ/lGSD3fHFT3D2vlcYr+qalOSX0jykSRprS221u6PnuGxnZPk5tbardEvh4RA6OA4PsnWVce3dWOwP09prd3RPf5Bkqd0j/URD9MtzXhukiuibziAbunP15PcleTSJDcnub+1ttxdsronftgv3fntSY45tBUzAf4wyb9LMuyOj4me4dG1JJdU1VVV9eZuzOcSB/LMJHcn+eNuaeqHq2pj9AyP7TVJPtE91i+HgEAIxqiNbvPnVn88QlU9Kcmnkry1tfbA6nP6htVaayvdNOsTMpqx+uwxl8QEq6qXJbmrtXbVuGvhCeXnW2unZ7RU4zer6hdWn/S5xD5mk5ye5IOttecm2ZmHlvsk0TM8Urd33SuS/M99z+mX/giEDo7vJzlx1fEJ3Rjsz517pzV23+/qxvURSZKqmssoDPp4a+0vumF9w6PqpuNfluSMjKZPz3anVvfED/ulO78pyb2HuFTG60VJXlFV381oifvZGe31oWc4oNba97vvd2W0t8fz4nOJA7styW2ttSu6409mFBDpGR7NeUmubq3d2R3rl0NAIHRw/F2SU7o7dMxnNNXts2Ouicn12SSv7x6/PslFq8Zf1+2c/4Ik21dNk2RKdHtzfCTJt1tr71t1St/wCFX15Ko6snt8WJIXZ7Tv1GVJXtVdtm+/7O2jVyX5UvevbkyJ1trbW2sntNaekdGfV77UWvvV6BkOoKo2VtXhex8neUmSa+NziQNorf0gydaqelY3dE6Sb0XP8Ohem4eWiyX65ZAon+kHR1W9NKM1+TNJPtpae/eYS2ICVNUnkpyV5NgkdyZ5R5LPJPnzJCcluTXJq1tr27og4P0Z3ZVsV5I3tNauHEfdjE9V/XySy5N8Mw/t7/E7Ge0jpG94mKr6mYw2WpzJ6B95/ry19h+r6uSMZn+e6/BCAAAAqElEQVQcneSaJL/WWluoqvVJ/jSjvam2JXlNa+2W8VTPuFXVWUl+u7X2Mj3DgXS98enucDbJn7XW3l1Vx8TnEgdQVZsz2rh+PsktSd6Q7nMqeoZ9dGHz95Kc3Frb3o15jzkEBEIAAAAAU8aSMQAAAIApIxACAAAAmDICIQAAAIApIxACAAAAmDICIQAAAIApIxACAAAAmDICIQAAAIApIxACAAAAmDL/D6tLd36f5xaTAAAAAElFTkSuQmCC\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "rescale_bd_lstm_pred_ny = bd_lstm_pred_ny * max(ca_combo['JHU_cases'])\n", "rescale_y_ny = y_ny * max(ny_combo['JHU_cases'])\n", "\n", "bd_lstm_ny_mse = mean_squared_error(rescale_bd_lstm_pred_ny.flatten(), rescale_y_ny.flatten())\n", "print(f\"MSE of bilstm: {bd_lstm_ny_mse:.4f}\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "Z4t1pgJjWF2w", "outputId": "a9264d0a-f092-4d2f-f609-26dfa126536d" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "MSE of bilstm: 1.1922\n" ] } ] }, { "cell_type": "markdown", "source": [ "Performance of NY models:\n", "* MSE of RNN: 0.8664\n", "* MSE of lstm: 0.8847\n", "* MSE of bilstm: 1.1922" ], "metadata": { "id": "2v8hhiA3tF1L" } }, { "cell_type": "markdown", "source": [ "### Train Models for MA" ], "metadata": { "id": "49arwrdXT-M8" } }, { "cell_type": "code", "source": [ "# Simple RNN\n", "rnn = model_rnn(days_train, days_pred, features_ma)\n", "history_rnn = fit_model(rnn, X_ma, y_ma, val_split=0.2, epochs = 150, batch_size = 16, cb = [lcall], verbose = 0)\n", "rnn_pred_ma = predict_model(rnn, X_ma)\n", "plot_multiday_predictions(y_ma, rnn_pred_ma, max(ma_combo['JHU_cases']), skip = 5)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 957 }, "outputId": "36868521-1d55-4731-9833-903169623768", "id": "RxXNfXsFT-M8" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Model: \"sequential_6\"\n", "_________________________________________________________________\n", " Layer (type) Output Shape Param # \n", "=================================================================\n", " simple_rnn_2 (SimpleRNN) (None, 100) 54300 \n", " \n", " dense_6 (Dense) (None, 7) 707 \n", " \n", "=================================================================\n", "Total params: 55,007\n", "Trainable params: 55,007\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "epoch 0, loss 36.55411911010742\n", "epoch 20, loss 0.15631215274333954\n", "epoch 40, loss 0.05064760893583298\n", "epoch 60, loss 0.029268354177474976\n", "epoch 80, loss 0.020225435495376587\n", "epoch 100, loss 0.0197617094963789\n", "epoch 120, loss 0.013548103161156178\n", "epoch 140, loss 0.010430244728922844\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "rescale_rnn_pred_ma = rnn_pred_ma * max(ma_combo['JHU_cases'])\n", "rescale_y_ma = y_ma * max(ma_combo['JHU_cases'])\n", "\n", "rnn_ma_mse = mean_squared_error(rescale_rnn_pred_ma.flatten(), rescale_y_ma.flatten())\n", "print(f\"MSE of RNN: {rnn_ma_mse:.4f}\")" ], "metadata": { "id": "5kghPZ92T-M9", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "4c448ed5-525b-4b28-f242-5bda8fbc6682" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "MSE of RNN: 1.7764\n" ] } ] }, { "cell_type": "code", "source": [ "# LSTM\n", "lstm = model_lstm(days_train, days_pred, features_ma)\n", "history_lstm = fit_model(lstm, X_ma, y_ma, val_split=0.2, epochs = 150, batch_size = 16, cb = [lcall], verbose = 0)\n", "lstm_pred_ma = predict_model(lstm, X_ma)\n", "plot_multiday_predictions(y_ma, lstm_pred_ma, max(ma_combo['JHU_cases']), skip = 5)" ], "metadata": { "id": "BF2O3TyZT-M9", "colab": { "base_uri": "https://localhost:8080/", "height": 957 }, "outputId": "4259a554-886b-4fec-b901-1b5441e22b1e" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Model: \"sequential_7\"\n", "_________________________________________________________________\n", " Layer (type) Output Shape Param # \n", "=================================================================\n", " lstm_4 (LSTM) (None, 200) 514400 \n", " \n", " dense_7 (Dense) (None, 7) 1407 \n", " \n", "=================================================================\n", "Total params: 515,807\n", "Trainable params: 515,807\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "epoch 0, loss 6.503179550170898\n", "epoch 20, loss 0.07028670608997345\n", "epoch 40, loss 0.0225752554833889\n", "epoch 60, loss 0.002585475565865636\n", "epoch 80, loss 0.005969495978206396\n", "epoch 100, loss 0.01575239934027195\n", "epoch 120, loss 0.007356947287917137\n", "epoch 140, loss 0.0048142788000404835\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "rescale_lstm_pred_ma = lstm_pred_ma * max(ma_combo['JHU_cases'])\n", "rescale_y_ma = y_ma * max(ma_combo['JHU_cases'])\n", "\n", "lstm_ma_mse = mean_squared_error(rescale_lstm_pred_ma.flatten(), rescale_y_ma.flatten())\n", "print(f\"MSE of lstm: {lstm_ma_mse:.4f}\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "ccd907e4-fb14-40d8-fb6f-559a0c43224b", "id": "a3jKsEzWT-M9" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "MSE of lstm: 0.4323\n" ] } ] }, { "cell_type": "code", "source": [ "# bidirectional LSTM\n", "bd_lstm = model_lstm_bd(days_train, days_pred, features_ma)\n", "history_bd_lstm = fit_model(bd_lstm, X_ma, y_ma, val_split=0.2, epochs = 150, batch_size = 16, cb = [lcall], verbose = 0)\n", "bd_lstm_pred_ma = predict_model(bd_lstm, X_ma)\n", "plot_multiday_predictions(y_ma, bd_lstm_pred_ma, max(ma_combo['JHU_cases']), skip = 5)" ], "metadata": { "id": "Ozullwv2T-M9", "colab": { "base_uri": "https://localhost:8080/", "height": 974 }, "outputId": "d1f4c401-53ad-4037-b728-145cf9beb7a3" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Model: \"sequential_8\"\n", "_________________________________________________________________\n", " Layer (type) Output Shape Param # \n", "=================================================================\n", " bidirectional_2 (Bidirectio (None, 400) 1028800 \n", " nal) \n", " \n", " dense_8 (Dense) (None, 7) 2807 \n", " \n", "=================================================================\n", "Total params: 1,031,607\n", "Trainable params: 1,031,607\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "epoch 0, loss 4.813594341278076\n", "epoch 20, loss 0.018460387364029884\n", "epoch 40, loss 0.008783896453678608\n", "epoch 60, loss 0.007196728140115738\n", "epoch 80, loss 0.021714413538575172\n", "epoch 100, loss 0.005660197697579861\n", "epoch 120, loss 0.012743073515594006\n", "epoch 140, loss 0.004193501081317663\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "rescale_bd_lstm_pred_ma = bd_lstm_pred_ma * max(ma_combo['JHU_cases'])\n", "rescale_y_ma = y_ma * max(ma_combo['JHU_cases'])\n", "\n", "bd_lstm_ma_mse = mean_squared_error(rescale_bd_lstm_pred_ma.flatten(), rescale_y_ma.flatten())\n", "print(f\"MSE of bilstm: {bd_lstm_ma_mse:.4f}\")" ], "metadata": { "id": "1rXyRGh8T-M9", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "c57790cd-efde-42fc-9d9d-3d9319696cb3" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "MSE of bilstm: 0.2919\n" ] } ] }, { "cell_type": "markdown", "source": [ "Performance of MA models:\n", "* MSE of RNN: 1.7764\n", "* MSE of lstm: 0.4323\n", "* MSE of bilstm: 0.2919" ], "metadata": { "id": "ccdA8LKftWCx" } }, { "cell_type": "markdown", "source": [ "# 6. Calculate feature importance measured by Mean Squared Error (MSE) through shuffling features on at a time in LSTM models\n", "\n", "Reference: https://www.kaggle.com/code/cdeotte/lstm-feature-importance/notebook" ], "metadata": { "id": "bdDvBSMq4prB" } }, { "cell_type": "code", "source": [ "def feature_importance(model, X_ca, y_ca, COLS, top_num, model_name, results = None):\n", " \n", " if not results:\n", " results = []\n", " print(' Computing feature importance...')\n", "\n", " # COMPUTE BASELINE (NO SHUFFLE)\n", " base_preds = predict_model(model, X_ca)\n", " baseline_mse = mean_squared_error(base_preds, y_ca)\n", " results.append({'feature':'BASELINE','mse':baseline_mse}) \n", "\n", " for k in range(len(COLS)): \n", " # SHUFFLE FEATURE K\n", " save_col = X_ca[:,:,k].copy()\n", " np.random.shuffle(X_ca[:,:,k])\n", " \n", " # COMPUTE prediction MAE WITH FEATURE K SHUFFLED\n", " shuf_preds = predict_model(model, X_ca)\n", " # mae = np.mean(np.abs( shuf_preds-y_ca ))\n", " mse = mean_squared_error(shuf_preds, y_ca)\n", " results.append({'feature':COLS[k],'mse':mse})\n", " X_ca[:,:,k] = save_col\n", " else:\n", " # COMPUTE BASELINE (NO SHUFFLE)\n", " base_preds = predict_model(model, X_ca)\n", " baseline_mse = mean_squared_error(base_preds, y_ca)\n", " df = pd.DataFrame(results)\n", " df = df.sort_values('mse')\n", " df = df.reset_index(drop = True)[-top_num:]\n", " plt.figure(figsize=(5,8))\n", " plt.barh(np.arange(len(df)),df.mse)\n", " plt.yticks(np.arange(len(df)),df.feature.values)\n", " plt.title(model_name + 'Feature Importance',size=16)\n", " plt.ylim((-1,len(df)))\n", " plt.plot([baseline_mse, baseline_mse],[-1,len(df)], '--', color='orange',label=f'Baseline \\nMSE={baseline_mse:.3f}')\n", " plt.ylabel('Feature',size=14)\n", " plt.legend()\n", " plt.show()\n", " return results" ], "metadata": { "id": "NjZt6PfATR4f" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "re_bd_lstm = feature_importance(bd_lstm, X_ca, y_ca, list(imputed_cali_gt.columns), 10, \"bd_LSTM\", None)" ], "metadata": { "id": "wnily5_tTtJ0", "colab": { "base_uri": "https://localhost:8080/", "height": 518 }, "outputId": "d4ec67b0-f05d-44b5-a4a4-e4c586596016" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " Computing feature importance...\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [], "metadata": { "id": "o9pUXyo4ZemL" }, "execution_count": null, "outputs": [] } ] }