{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Time Series Forecasting with Python (ARIMA, LSTM, Prophet)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import os\n", "from statsmodels.tsa.statespace.sarimax import SARIMAX\n", "from statsmodels.graphics.tsaplots import plot_acf,plot_pacf \n", "from statsmodels.tsa.seasonal import seasonal_decompose \n", "#from pmdarima import auto_arima \n", "from sklearn.metrics import mean_squared_error\n", "from statsmodels.tools.eval_measures import rmse\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this article we will try to forecast a time series data basically. We'll build three different model with Python and inspect their results. Models we will use are ARIMA (Autoregressive Integrated Moving Average), LSTM (Long Short Term Memory Neural Network) and Facebook Prophet. Let's jump in and start with ARIMA." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ARIMA (Autoregressive Integrated Moving Average)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "ARIMA is a model which is used for predicting future trends on a time series data. It is model that form of regression analysis. \n", "* **AR (Autoregression) :** Model that shows a changing variable that regresses on its own lagged/prior values.\n", "* **I (Integrated) :** Differencing of raw observations to allow for the time series to become stationary\n", "* **MA (Moving average) :** Dependency between an observation and a residual error from a moving average model\n", "\n", "For ARIMA models, a standard notation would be ARIMA with p, d, and q, where integer values substitute for the parameters to indicate the type of ARIMA model used.\n", "\n", "* **p:** the number of lag observations in the model; also known as the lag order.\n", "* **d:** the number of times that the raw observations are differenced; also known as the degree of differencing.\n", "* **q:** the size of the moving average window; also known as the order of the moving average.\n", "\n", "For more information about ARIMA you can check:\n", "
\n", "[What is ARIMA](https://www.quora.com/What-is-ARIMA)\n", "
\n", "[Autoregressive Integrated Moving Average (ARIMA)](https://www.investopedia.com/terms/a/autoregressive-integrated-moving-average-arima.asp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## LSTM Neural Network" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> LSTM stands for long short term memory. It is a model or architecture that extends the memory of recurrent neural networks. Typically, recurrent neural networks have ‘short term memory’ in that they use persistent previous information to be used in the current neural network. Essentially, the previous information is used in the present task. That means we do not have a list of all of the previous information available for the neural node.\n", "> LSTM introduces long-term memory into recurrent neural networks. It mitigates the vanishing gradient problem, which is where the neural network stops learning because the updates to the various weights within a given neural network become smaller and smaller. It does this by using a series of ‘gates’. These are contained in memory blocks which are connected through layers, like this:\n", "\n", "![](https://hub.packtpub.com/wp-content/uploads/2018/04/LSTM-696x494.png)\n", "\n", "> LSTM work\n", "There are three types of gates within a unit:\n", "Input Gate: Scales input to cell (write)\n", "Output Gate: Scales output to cell (read)\n", "Forget Gate: Scales old cell value (reset)\n", "Each gate is like a switch that controls the read/write, thus incorporating the long-term memory function into the model.\n", "\n", "For more detail:\n", "
\n", "[What is LSTM?](https://hub.packtpub.com/what-is-lstm/)\n", "
\n", "[What is LSTM? - Quora](https://www.quora.com/What-is-LSTM)\n", "
\n", "[Wikipedia](https://en.wikipedia.org/wiki/Long_short-term_memory)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prophet" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> Prophet is a procedure for forecasting time series data based on an additive model where non-linear trends are fit with yearly, weekly, and daily seasonality, plus holiday effects. It works best with time series that have strong seasonal effects and several seasons of historical data. Prophet is robust to missing data and shifts in the trend, and typically handles outliers well.\n", "\n", "[Facebook's Prophet Web Page](https://facebook.github.io/prophet/)
\n", "[Forecasting at Scale](https://peerj.com/preprints/3190.pdf)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# FORECAST" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Read Dataset" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "df = pd.read_csv('../input/monthly-beer-production-in-austr.csv')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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MonthMonthly beer production
01956-0193.2
11956-0296.0
21956-0395.2
31956-0477.1
41956-0570.9
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" ], "text/plain": [ " Month Monthly beer production\n", "0 1956-01 93.2\n", "1 1956-02 96.0\n", "2 1956-03 95.2\n", "3 1956-04 77.1\n", "4 1956-05 70.9" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.head()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 476 entries, 0 to 475\n", "Data columns (total 2 columns):\n", "Month 476 non-null object\n", "Monthly beer production 476 non-null float64\n", "dtypes: float64(1), object(1)\n", "memory usage: 7.5+ KB\n" ] } ], "source": [ "df.info()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "df.Month = pd.to_datetime(df.Month)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Monthly beer production
Month
1956-01-0193.2
1956-02-0196.0
1956-03-0195.2
1956-04-0177.1
1956-05-0170.9
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" ], "text/plain": [ " Monthly beer production\n", "Month \n", "1956-01-01 93.2\n", "1956-02-01 96.0\n", "1956-03-01 95.2\n", "1956-04-01 77.1\n", "1956-05-01 70.9" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = df.set_index(\"Month\")\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "df.index.freq = 'MS'" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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tAL4ewA+Uf+0HAPwX5e+/HsAPuoIPAHjIGPM29SMnhBBCyJuWocZU3jlZ4bnXTgZZe5HmmE/iUe2UCnKscSkwaLo75DzrCgzF8SVleN8oBYbMqgo5V8X/8jOfwF/70Y+qrxu6ObTeTzm/k3icDoZr8wkOZwkFBrJTbJXBYIx5J4CvBPBBAI85514CChECwFvLv/Z2AM8H/+yF8jVCCCGEkN7k5QhCQL8Y+PDnXve/1yyinXNYpBbzchweMK4JGOK2iIzBNDaq7o50CAdD0CIRjbBFwjlXtEiM0MFwvMxxb4BMgHyAFokw5FEcDGM45+Jg2J/GuDZPmMFAdopLCwzGmEMA7wXwbc6581KPTMtra58CxphvNsY8YYx54tatW5c9DEIIIYS8yQn7/7XtzNIeAei2SIhYMZvEiMunrzEF+MkpjyODaaKbwZAP4GCQtYqQx/FNkZBsgDFmMOTW+uNXXdfpOxhWeRUGKg6GEegLOFnlmCYRJnFUCgx0MJDd4VICgzFmgkJc+CHn3PvKl1+R1ofy11fL118A8I7gn38RgBebazrnvtc59y7n3Ltu3rzZ9fgJIYQQsqP8xjOv4Zt/8An1rIGawKDsYPjtz72Og2kxilFTAFikpcAwUgeDnOfIQD2DwYc8DtAiEUcR4mhceRdAJTBoCjlXRW6d6hjTcN223/chdDDEZkQOhlXmP6euzSc4XlJgILvDZaZIGADvAfBJ59x3Bf/rpwB8U/n7bwLwk8Hrf76cJvFuAHellYIQQgghbx5+67Ov4xc+8QpO01x13VovtmLhmOYWT71wF+9658P+z1oss+IczMIMhhEVvbm1iCMDYwbIYJAWCUWxqBbyaMwo+upDluU9MyaXi2AtBnEwhPe91r3TFvI4An0BJ8sc+9MEAMoMBrZIkN3hMg6GPwLgGwF8rTHmyfK/PwXgHwD448aYzwD44+WfAeBnATwL4BkA3wfgr+gfNiGEEEJ2HdkJlJntWoSFv2YB9ju3jnGW5vhD73xL+XX01l6WDoYig2E8O6VCbuF3eCdJpLpDPUjIY94QGEZWqI+6RcIN72DQ0otWLWMqx3Bfnq4y7HsHA1skyG6RXPQXnHO/jvZcBQD4Yy1/3wH4lp7HRQghhJCRIwW6tsAQ7p5rTgc4aYx+G8rBMETmwNBY51B2dhQhj4rnppoIoi9aJLFBHBm1gvSqkOtlDMVuk6FaJEIxUcuRkvoMhsDBoHixfOTzr+Pb3/sU3vdX/ggOZxeWXZfmZJVjv1zv2nyCexQYyA6x1RQJQgghhJDLItb3swFbJDR3eEUQEeuxZhG9yoq1p3HgYBjR7nRuXeVgiHVDHuU8aNbSeZjBMEIHg2R2jOkaEaxzWOVWPfciDy4QtQyGQGCoHAx6x/1vv3AXn37lGC++caa2JlBMkZAMhuvzBMdLtkiQ3YECAyGEEEIGQR7UtQWGoUIeMy8wxOXX0VtbCplpYpDEY8xgcH6Ht8hgUBR2rL6DQd67SWRgjH4Y6NCIg2GMIY9yH2nmdAD1wl9tikRWha9GRv++PC3dW9oZCaeregbDIrWjvFbIgwkFBkIIIWRHuXW0xPs/8cr9PozOSIFxutK176YDhL0BVaG7NxGBQdPBIGFysZ8iMaYAv9w6v8M7iSPVEZ6ZnyKhtqS/LuJIWiTGc66BKrNjTNeIIMW/dtDjEFMkvBAVOBg0nTQnXmDQ/Qw8XWU4mBWfU4fzQmg44SQJsiNQYCCEEEJ2lB994nn8xR98AreOlvf7UDohLRKLIR0MAwQD7smYygFyBiaxGecUCed8a8c00c1gEOdCPmAGw5jONTDykMfyXGvnMOQ1B4POmqvSKTIdKHz1tCz6tQWGk8DBMImLck7bMUJIVygwEEIIITuKhCM+9cIb9/lIuiHF0emAUyQ0A9lk3XnpYNBsAwjT6sc4RcJa5y3k2hkMqXcwaIpFxfElUQRjDMZWp4sol47oGhFy72BQzl4JBQZ1B4Px96XmZ4qM6FV3MAQZDJN4fJku5MGGAgMhhBCyo8gD+kefH6fAkEoGg7rAMFTIYxX4NlUuosMwuXiAXu+hyW3lYCgEBn0xQFVgCFskjF5BelWIg8G58R27vQIHg1amRpWNMkz4qjgYNEMYrXU4TaspEom0XFFgIDsCBQZCCCFkR5EH9CdfuHufj6QbQ02RGMrBkAW7mUlsVFskwjC5ONZPqx+a3NUdDJp2bDkPmkGMUoxOyqkdmtfJVRDu/o/NxSDv45Ahj2pTJMr7chJVAoPmdThEBsMiy+FcFUYrobFskSC7AgUGQgghZEeRXcyPPv/G6ELqgMppoO1gCFsLNIt0WTeJI/Vd+jTYKa3C5MbznubW+UJmGutmMKQDOBhkzTgyiEY8phIY3850Xh7vMtV2MATColqLhMUkNoiiqkVCd4qEfgbDybL4PJUWiWksobEUGMhuQIGBEEII2VFkd+3uWYrP3T69z0ezPfLAq53BsMqKAmCWRKrFwCoYbThRLqL9TmkcZjCMp3DMrfOtHcNNkdB3MCSlwDBmB8PoBIYBHQxSTKu1SGTWhyQOO6ZST2AQ0UJCHpOYLRJkt6DAQAghhOwoy8z63e6PjjDoUR54h5oiMZ/Eyi0SlQigH2QYOhjKImlEAoN1DpFkMCTK7o7yPFgHNadOc4rEiE41gPru/+haJMrDVXcw5JWLRuv9LBwMxf04xHSX06UIDHoZDN7BMKu3SGh+XhHSBwoMhBBCyI6yzCz+nZuHmE8ifPT5YXIYnn75CP/8A58bZO10oAwGcUbMJ5Hqrp2slcRGvUVi+QA5GKZlBoOaGDDA2FH/XkYRosiMqh0FKPrshbHtTFvvYNCfIlE4UvRaJFa5xTQpyqEhWiROVhLyOJyDYVIKlpqfV4T0gQIDIYQQsqMssxz7sxhf8btuDOZg+LEnnsd3/MuPD7K2FNDqYyrLFgltB4PsFE/iCIl2i0RehTxWO6Xj2XHMLbyDQQoyrYImLOi0RBc5t3FZkGoG910FNQfDyHam5f3UdjBY55DEUZGpodYiUbVdDDGm8myQFolizf21MZXjuk7IgwsFBkIIIWRHWWUW0zjClz1+Dc/eOh7kaxwvM6S5GyREcrApEuJgSGLdkEe/623Ux1SKKFJzMIxox9E654WRibIle4ipIGkwESQeYcjjMtN3dVwVfkzlABkMcWRUHSltDgbNz5QTH/Ko1yIRhtGGv6Yju07IgwsFBkIIIWRHWWYWs0mMeRIPZn89Kq27QxQxQ02RkIDB+SRStb6HkweKMZWaAZI54jKpXnqmx1Q4ZjbIYJCCRqmAzAZxMBTrSEE6MgNDPeRxRE4XoHKLLBWDQIEygyHSFYzSzHrBTLtFIrfOTwPRbJGQ264KXaWDgewWFBgIIYSQHUUcDJPEDDbj/Li07g4hYEhhpC4wlMc6m+g6GNK8sEsbU2QwaJ7zNHe+EEhGmMFgrUN5+F5g0Do/oZCTK12Hcm4ncTRKB8Oi1iIxrmOXc68tMIiDQTO0Mw0dDMpTJCQrIYkM7im2SMjxldELPjR2bK005MGFAgMhhBCyoyyzHLNJhGkcDbY7dVLurA2RVC+F4+lQLRKTWLVwzHLr3QXaUyRELAKAeIRTJPKyuAPgvw+twjc8z1q99VngRomiEWYwjDnkUVoktB0M1lYhj1oZDMEUCW0Hgwirb702wyqztfe0D9LO5u/HRFqWxnWdkAcXCgyEEELIjrLMLGZxMdbQumEKUrHuDlHEiBCwGCrkMYl0x1Taes6AbovE+k7pmBwMuXOIxJItBY1SAZlZh/K0602RkDGVkUFkzCAZI0MS7v6Pbkylb5HQnyIRlQ4GretklQ0nMJyIwHB9DqByi/VFzq/cj+JgGFsrDXlwSe73ARBCCCGknVVmMZtEVUGXW8RRrPo1jnyLxJAOBj17MFA8SEcGmCSRapEe7mZO4kitIAAaDgafwTCegsBah9mkOjdAv2vmR3/reXzJzQO8650PI80t5pMYp6tctf89jgyM0S1Ir4pFOk4Hg3PO513oOxicF4zUpkjkFoezohzy012U1hZ32GPXZwCKz9pHDme91/UtEiIwxPoOhqdfPsKf/b4PYJHmeORwip/71j+KgxnLRnI56GAghBBCdpRlWZROlXveQyTlfAiBQdY8W+muLUJAbPTS5IHCVi/FcxJFqg/sYa93NaZSbfnBKVwG9ZDHPtfjd73/0/gXH/p8sXbuMEt020ZSa/2OdDTCDIZlIEiNKbwvPM/DZDBEqlMk0uCej5QdDDJO8nFxMCgFPdpGi4R26CpQjC8+WqT4Q+98GM/fOcPt45Xa2uTBhwIDIYQQsqOsyikSE19o6BZJzjm/Sz9Ii0S55kI7gyFzftyj9phK2Q2cJkY9g2Hdij2ewtE63QyGNLf+ushs4WAAFBP886rdJTJ6oYBXxTK1OJwXO8Zja6URtB0M1upPkag5iwYKeZQWiXtKoyrlYyNuCH5an+HWOvzsx17C13zZTfyXX/X2Yu0RfVaR+w8FBkIIIWRHWWZ5MUVigB2qYn3ri5chHiBl5/V0lan2wGe2GC0XK+5kAsUc+bBFQj3kseFgGFXhaN1aQdPn/Kxyi7NVDucc0sDBoHVOwjyNONILBbwqFlmOg1khuoypuAuLc22BYZgpEg6TpNm6NIyD4Ug5g6G8HYMWCZ3z/ZHn38CLdxf407//beq5FOTNAQUGQgghZAfJcgvrgFkS+QdI7Qf20LK7yoYIeSzWtE63vSMNWiR0HQzWF6XaLRJDptVfBXkZsAfAj9vsE/KY5Q5naZW5IA4GLSEgsxZJYH0f07kGCgfDwbRwMIxpOkC9RULXueQzGBQFoyEdDFUGg27Io4iqvkUi0hXnfuaplzBNIvwnv/exUYqh5P5DgYEQQgjZQaR/eZpEgSVdWWAIHniHcjAcTIvC8UxxkkSaly0SsVHdmU7zqigdokWicjDoFgRXgXXBhI2kfwZDZi0WaeWgmZUCg5bNOxyrWbRIjOdcA8X9L+GDw7Qv2UFyV8KPEX0HQ5GroZmpUUx3EaeLbsjjWdkCVIU86rRI5I0MhkRB8BPC9ohr88koR+oOySLNRzeR5n5AgYEQQgjZQeThfJaELRK6Dzahg0F7bWsdrAOuzScAqodtDQoHg24vdrGuwzSuHAyaAkCaBzulI3QwZIGDwYeOdixopC1ikea+yJUWCS0hIM0dJtIiMcoMhtyn9g8h/n3bjzyJ/+nHPqq+blica4c8imgUK06RaL0vlT4LT5b1MZVaLRJyLVdjKkuBQeEi/+TL9/DyvQW+7iseB1C0FwHj+qwailVm8e7/9ZfwE09+4X4fys5DgYEQQgjZQSoHQ1xZ0rUdDIHAoJ1Un5ZF0bUyqO5U1cFQOA3UQx4DW/0kjlR2BIVVyxSJMY0ftEEGg3wfXUUpec/O0tyfA2mR0Ho/c+t8T/0oWyQCB8MQLRJPv3KEL7xxpr7uVWQwaE6RqIWvGl0Hw+kqgzHA9XmCWRLpTZHwYyqLPxtjMImNyme4uNokNyIeodtqKE5XGd44TfHpV47v96HsPBQYCCGEkB2k3cEwXIuEdhEjheP1vdLBMESLhHbIYx62ARgvkqisnTkvFEWRgTF6UyRWmcW3/IsP41Mv31NZr408mCLR93qUa+NslftzrD2mMrPO96ZLIaZ5rQyJtQ6rPGyR0Hcw3DlZYTWAcGEHdjDIFAk9p4v1LT/VfannYDiYJjDG4No8wT2tkMdGBgOg57gScSWK6u6IsQl0QyAtYXc4svNCKDAQQgghO4gEpE2vqkVC2YbtBYbSwaDdIjEtp0hotzH4KRIDhDxOk9j/OVE89s/fOcHPPPUSfvlTt1TWa8PaypItQknXDAa51tocDGoCQ259Aaa9Mz00cl6rFgnd486twxunK1WHjpAN6WDIHeIoKh0p/dez1pVtUVU5lCi6Xc7SDPtlBs21+UQtg8E2RACgyGHQON9+BGZUz6UY0ySToZDPqtsnFBguggIDIYQQsoMsaw6Gq2iR6P9QvUhz/OSTXyh67MsH0iEcDFnufIuEZnhfllcug0kcIbdO1YodFjKaQXWvHi0BAC/f1be8C7J7DKB36KgUtotAYKjGVOpc42KnB6pCbCxnFallAAAgAElEQVRBj4tSjDuUMZXK9/3dsxTW6X+eAHWXyFJ5fQka1Ro7Kp9R0vID6N6XJ8vcCwyHs0SvRUJCHk0lMEzjSOXe8Q4GQwdDE7lfXj+lwHARFBgIIYSQHSScIqGR2t+GdgbDrzx9C9/6I0/imVePfeF4bQAHwyoIedR2MEgGg09m12pjCNLqAV0Hwy0RGO4tVNZrIwx59I6ajjum8n2nufNOHR/yqHSJ59atjQUdyyas3Pv7AzkY7pwU18sQAkNtTKXiPQ+UolGsN0VCHEpDORhOVxn2y1Gj1+aJWsijvG2RqTsYNERiadtadzDoCwzOOTz1whvq6w6F3C936GC4EAoMhBBCyA5SZTDE/gFYOxQwzGDQEC+kWDxdVdMBrs+HyGCwPoPBOaiNDcts5WCYKrelNB0MsWIh4wWGu8MJDNY5nyg/6RnyGBa2R6XINUsk5FGn6E2DFglxko+lRWKZFudgqJDH22UP+RDhkeE51hZExUWjNXZUPmPlngfKQFC1kMccBzNpkUhqn7d9qFokqtcSpZYuecuShsAwRH7Jhz//Bv7M//lv8G+/cFd97SFYZWWLxPHyPh/J7kOBgRBCCNlBwgyGZCQtElIwLzPrd7yGGFOZBSGP4dftv65FEskUCeNf0yDMdwCApGzB0ODVK3Aw5MEUib4ZDOG1Jru684numMqwpUN2ekfTIpFJi8QwIY+yA6stAABVITpLIi+UaJHZQjTSEufk8zTMRtEU/k5WOfZKB8PhTC+DwYc8Bg6GSWxUfj7I2nLPDOlguHVUfF7dO9M5L0Mj4ue9RTaI++dBggIDIYQQsoNcyRSJZeZ3d1X6d73AkPuiaLAxlWWhAeg9/Mp0CgC+VUKrCFtlttbrrRlQ+WopLNw6Wg4ycQAoCkffIhH1zGAIHQxl0eUdDEq76pl1Xpgbchd2CKQwl/79VPm4JaRukBaJUsTZm8b6Doa8ELm0pki0ORhUWySWGQ6mlYNBq0XCZzDUQh51Mhiaa4vgOkQGg5yPsTiLwvvldbZJnAsFBkIIIWQHCUMexVqvncp+vMhwowxh1LHXlgJDav16EvK4UJ4iMUkqB4PqyLoBWiSsdWX7RbPXW+f9vFVadq2rfq9N7gJHQGSQRN13TNMrcDCEbhTZjdUskr7rF57Ge379ObX1QsS9NJ/ERVbHQA6GIaZIyDnen8SDZDAksUEU6eRprLyDYZiQx9NV7jMYrs8THK8yFZFL1jA1B4NWi4QIDCh/Hc7BIA66IdYeAmmRADhJ4iIoMBBCCCE7SJjBIIWp9oPYySrDW/anAHR2M+X4Vrn1u2n7kxhxZHC60tm9A+BHy4lFWOu8hLveiWKLRFsho+tgWPoCfagchjDkEehX0IQ7rZWDQfcaz1umSGjulP7Mx17CP/y5T3n3iCaL0sEwn8RIYr2CV/ACg5Jb5M7JCh9/seijl2OdD+FgKN/TWCknQT5jhwx5lAyGg1kC53RaxXLnau4FoHBhaHxWNVskqikS+mKUZFKMxVkU/oxk0OP5UGAghBBCdhDvYJgMN6byaJHhof3CYaBhTZfd52VWhTwmscHeJMbZSu/Ymy0SWg+oaS2DQa8txfd6D1TIvHq0xO/7XTcAAK8MlMNggwwGoChoujpq2h0MRSGmdU7SYOSoHLemE3uVWywzi+/51d/RW7QknKyhFd4XEmYwaASk/tN//Sz+/Hs+BCBwMExjrDKd9YXCRRMpTpGQFonAwaCewVBc19LucqIgtOa2nr8AoHQU6TkY5HPQOxgGCAQdm4MhFEbpYDgfCgyEEELIDrKSkMc4qvIAtFsklhkeEgeDwg6VPISGLRKTOMLeNMZZqutgCFsk9IrSqkViotgiscqGczAssxx3z1L8+28vBIaXBnIwNHdNp0mklMFQTpGY6PZ6hw4GqR81nQCSk/BDH/y8uqgTiotJbNQmawjh7qvGNXi8zHyxKCLj3iSGdbrFY54X76nWFIm0xVmUKLkj0txilVkclC0S0iqhMU3HOlebIAEUGQwqIY+NCRXabWghMkFmLA6GsEWCGQznQ4GBEEII2UHCIkN7ZKJwvKhaJHQdDNavl0TiYFDOYAgcDHpTJKqcBE3XiLxv9UImQq5wzmVE5b/3+DVM42iQSRLOOThX2aaBQoDpKni1TpFIdB0MmbVemDMDZDCscouv+bKbyHKLH/rg59XWBYIMhiQexMEQ7r5qXd9ybmU5mZ6gKYpm5WSQONIRGJZZu4NBQxSRUFtxLkirxMlSQWCwrnYvAoUQrXHcUuxXIY8DZjAsxuVgCO8VOhjOhwIDIYQQsoMsg/7goVokTpZFyKMxyhkMmfWOiCSOsD+NlcdU2vqYSoViwzlXZjDot0isWgoZLQeDCAxvvTbDYzdmg2QwVLbpZgZDRwdDSwaDdouEFKNAe4uEc87nBnRhlVn8u289xFv2p7itHKwpGQzSHqUf8lgdb5r1P9+5LcbSOudqIY9A9TmmgbhSihaJ/uu1C39GZUf9zAsMhdAigotGFk3u3HqLhFYGg0yRaIypHGKKxEnD9bLr1DMYhgnTfVCgwEAIIYTsIKusmPmelIW0MTqBg4K1DserDIezGBOlXdL6mEppkTCYT2LlMZVli4TR6w+WYn8iO3de1FFokdgQ8qgRnPaqFxjmePz6fBiBwdum6xkMnUMeWxwMEvKoFcSY5WGLxLoQ9cHn7uBPf/ev45lXjzutv8pskZEQG/X+dJm+MEviskVCb33nHO6crHBtVjoMNITFXNwLrmqRKHfudR0Mkr2iY6tvC3nUyneQrAUf8lieD43PwXBkrJBEEVaKn+GRdzCU4asDZDBIi8QQaw+BHOfeJGbI4wVQYCCEEEJ2kGWW+wdfYwwmSg+QwmmawzngcJ7o7X55gcH69ZIowt4kVhtT6ZzDqtEiobED5ls6ynM+HcDBMI2rokDLweAFhuszPH5jb5CQx7xhmwaAadJ9SkAtg2FZTpFQdjDk1mESyf1TvSbcPSu+7r3SQbHt2pl1mEoIo3JGguz6zydRKf7prX+0zJDmDo/dmANQapEoz2tWnhegEhik3aMv1jpYVxS+kdHLSQAaDgalqR2ny7qDYV/bwTDwFAnv/omHczBIi4TmdJchkc+7x2/McfuYAsN5UGAghBBCdpBVZn3wHSA7xnqFhthTD2cTTJT6d7NAYJCiYxIb7E/1HAy5X7dqkdA4dnl4nPgxlXo7d20OhkSpj/zW0RLGAI8cTPH49RleurtQTe4HAoEhsGVPe1yPrSGP4mBQzGCQ4qhNiKoyA7b/emFo52QAB4O0SBQBr7pjKiWc7rHrMwA6AoM4cTLrvLNgb6LrYJAiNIkMIqU2hqp1KRD+lMQLERIOGlMkVBwMjTwUAGqf4U0Hg/Yo4BAJBh1CvFikOf7OT30cd0+3FxA3IffKY9dndDBcAAUGQgghZAdZZrZm3Z30SO1vQwq7g1lcjBxULDRWoYMhjjBXzGBIA6eB5pjKzAsM9ZBHjfPSNg4vjnQK01tHCzxyMEUSR3js+hzLzPrdeS1kgz5SymBoDXlUniLRlsEQCgxy7L0EhnLCi/aUh2WWI/HtUbohj7e9wKDoYJAWiSDscX+qm8FQuWgiNRFg1XJfao2pFCHBj6mUkEetFom6voBESYC2GzIYhshJGFJg+PDnX8f3/8Zn8aHP3lFbsxIY5hQYLoACAyGEELKDrDsYdAUGebi7Nk+QRJGSvbb4tZnBsK84RULs6JPYqIY8yg6dZC8M0yKhb8V+9d4SN68VxeLbbuwBgPokiXD3WJjEUeeAwLqDoWyRKKdIaO2UZrnz/eMijITnW37fRZxa5pKREJX3pXIGQ5nvAJTWd0UB405p7X68FBhWKiGPxRqptf5amSuHPIbWfa0pEtmGkEdNgUFaI2Rc5elSoUXCtrRIKLXSZF7IaUyRGCAnwbdIDCAwSPitZm6R3OePXZ/j9dPVaMZr3g8oMBBCCCE7SNPBMFUuZMIWCa2gOnEwLFMbCAER9jQdDMFEhljx4de7DMqidIgWiUkt5FHH0nzreImb1wq7++M3il+1gx6btmmg+F46ZzAE37dc0zN1B4P1YpHYycM6Xc59l/dABKNZEqu3LgGFvVsK9ETJ6SLIzuvjmhkMgRvENhwMWi0SYeEbGQMNzUWEm7BYj4xONkoWCKFA1TKi0SKRu/UxlVqf4fL+yfpRGTCsEUgbssxy//kxhMDwWimkpYprhw4G66DuFHuQoMBACCGE7CDFLmbs/6xlgRXCFolpHKk8iFUOBluFJkYGe4oZDKl3RkSt1ve+60pRqtki0epgUNopffXeEm8tBYbr8wkA4N6i/y5piHYGg+wqHpaTDIDKwaAZ8lhNkShea81g6HDthBkM2gIAUHcwJMrOpSFaJOT7T/PKwbCvHPLoHQxxMUVC4zoJP6OEJNbJd/CfJ4GLZm8Sq4Q8OoeWkEed60SWqJ0TpUDakOPgM2o8DoZistOjh1MA1b1E1qHAQAghhCjwi594Bd/3a8+qrbfM8pp1d7AWidLBkCrsNHoHQ2b9sSZxVLovqvUXad55qkSVZ2BUQx7XMxj0HAxyzLPGmMq+x22tw2vHlcBwUBbsJwo27BApGgN9RCWD4fo8FBj0HAzOuWKUaVR3MIRigrzfXYrJMLRTWwAASoGh3PGeKI+pvHOyxCyJvBilk71SBWbK7+fKIY+h20BrikQlWtTHVOqEJZbHGwRI7k9jlQyGvCWDQes6aRtJGyuJoSHHwWfUEFMkKoFBb+0sd5jEBg8fFAIDcxg2Q4GBEEIIUeDHn/wCvv83Pqu23irYxQSKgk6jX1q4fVw8gF3fKzMYFCyw1RSJ3P9+EhskUQTnqgf6v/7ep/CtP/KRTl8jDEzUDHlMg8wIWT/8en1YZXXxAhAHQ7+1j1cZMuv8A+/hfBiBoWmbBtAre0CK2mtlkQsU7o7I6AgMskQsu8dm/TrJgqJ4W5bBlAdtAaBYP68cDEqtNEDROvOh5+7gkYOpFy812q6kHSqthTwW1+IQGQxaUySyYE1Ba7qL//wL1t6f6WTR5M7VBABAz+liW/IdYiXRJeRoaAdD+fNNc4TsKreYxFEgMCzV1n7QSC7+K4QQQgi5iLNVrrqTucwsrgU7vFPlsLff+J3b+JKbB3hof1r2kWsUdiIwBFMkosi3HWTWIo5ivHR30bllohIudMdUyrkVS7MIDZo96lNlB0PaEC4kSO5Y28HQCMCUr9l1d1p2FeX6jkyxYxpHOjvT/r1sjKlsC3nsNEUidDBEEbJc93yfBRkMxRjM/tfgr376Fv7y//vbyKzD3/nPf18VYqriXFp3MGiPqZRrJjIGsdEKeVzPYNCa7iJrhGsfTBMV8c9aV2tXAgohI80dnHMwjf+3DVnL2kM4GMLzMGSLhMb1LaR5kYsk4pmMkyXr0MFACCGEKHC2ylV3eVaNDAbNFolFmuMDz97G13zZTb+2ioMhrwSG0BHQTCLPretceMi/S4IWCdWe6TUHg0LIY4uDQeOhvTn5Ii77vIdqkQgdDNOk+2jTzFoYU7V0iEVdq5Bp9tZ7B0OwtHcw9MhgKKZI6IhzISfLzOdTaBW8P/3RF5FEBr/4V78Gf+6rvxiTRFNAk8BM6wt/Gc+o0YIBNDMYlK6TFgeD2oSKlvYLrSwa61qmSMQ6LUbWOUSN6jCJo0FbJLTdEUDQIqEZ8pg5JOHPM06R2MiFAoMx5p8ZY141xvzb4LU/aIz5gDHmSWPME8aYP1y+bowx322MecYY85Qx5quGPHhCCCFkVzhLc9XdkmWW11okipwEnQeaDz53B8vMeoFBa20p1laZLd0KBsaYaiJDkNzfNfzNuwECB4PGrne4LqDbIrHMNjgYehaOzckXQFG0D+VgCIuaPoJXmjtM4gjzcnKE2Mhjo1s4ViGP62GgsnvdycGQNRwMygn7p6vchyQmcaRi886tw/W9Cb74kX0A1fWtIQDIucxy50MCfcij0vSY6j2NiikSCh+FEgQa7vjriVziiKo7GDRCHnOLNZdC8zO2+9rVeFdBw23VJPyM0h73mFvn2xc0xb/U2ppzTnuyxoPEZRwM3w/gTzZe+4cA/q5z7g8C+FvlnwHg6wB8afnfNwP4Hp3DJIQQQnabs1WutlsHFA/+axkMSuv/6tO3ME0ifPXvecSvrVXEAIU4kubOP1xXDoayELG2u72+sZMZvtYHv+sd7KYbo5NCLg+52lMksobrAgAOZzGOlzpFndA2RWISR50FtTS3mJRuC0DfwSBrSBEtNV64dq8MhlBgUBoPGHKyyry7Y6Jl2beuVuxOFR06eSAcitjnWySUPrNEHEoio5bVkZYiaEgc6ezWN0UuoBBd9BwM9de0pt60BUhq5MU0CTMYtMWLOycrL0DpTpFwmMYRHQyX4EKBwTn3awDuNF8GcL38/Q0AL5a//3oAP+gKPgDgIWPM27QOlhBCCNlVzlLlDIbU1na8m5MY+vBrn7mFr/49D3sbs9aoPR/ymBZTJKTAqzIYykIkd50fhMPcgbglvK8raaNvX77GSrFFou5giHo7L8JkfeFgptPnHSIFV7TmYOh2/FlukcSRv/6kONKyYjd766MWB0OfDAZx3xQtEjriXMjpMsfBrBJfNIqkcGwnoOvQke8/y62/FysHg24GQ6yY1ZEHk0aE2Og4ojLfIlbd88UUCQ0Hw3pOQrMNrStt7RdDOhiM0RkzHCLtEYDO9e3XyoqfaZF3MFBg2ETXkMdvA/Dzxph/jEKk+A/L198O4Png771QvvZS5yMkhBBCRsBZmsO69Qf5rrQ5GDREgBdeP8Uzrx7jG/7QO2prayWQAxLy6Hyx3tzxyazrXHgsg4C9IRwMYbtB23jNNLe16QeXIc0tIlMXAjQcDGlLEXM4QItEuHssTOMig6FLqFxqi3FvEmSYBNMedAI768frhaiwRaL8O12KGy8YxbGaOBdyvMx8YOckNkiVQkxD67tmiGkeZKvIeZ0mEYwZIIOhnCLhlHISmp/VkdL7KTv+4fL7s0RlioTdMEUC6L9j33ZOBhlTucgQRwbzROfnWohMkACgcu/4tXJbz2BQPu4Hia4hj38ZwF91zr0DwF8F8J7y9bafMK1n3xjzzWV+wxO3bt3qeBiEEELI5Xnl3gKv3FsMsrY8OGrtmDQdDJNERwT40HOFKfE/+tJHq7WVBAYpLlZZXito5New733Z8euJMDFLdMdUyrFJ+B2A0v5eHed3vf/T+HPf98Gt117l9fcSkAyGnsVAvl74H16hgwHoJu5kpbulapGohCid97Le7iIhj+HprhwM269fmyLRw8nRRpZbLDPrk+oTJct+bhvvX3k9akx5kCIuta4aaRoZzJJIbUxl6NbRy+qwtRBGQHdM5SSu5zscTGOcKLQvWedqgatA0PLSN+TRrq89iMBQBplqhWqGhA4G1RYJ6xoZDBQYNtFVYPgmAO8rf/9jAP5w+fsXALwj+HtfhKp9ooZz7nudc+9yzr3r5s2bHQ+DEEIIuTzf/t6n8Dfe9zH1dZ1zOCvDzLR27AoHQzBFIuqe2h9y52QFAPhdD+3515JYZ+c4dDAUQX5ifW86GIoMhi67kHIOQoFBw9Is69Z3eestEl94/Qwv3d1eoFpltpa/UHwdjSkS69MphmyRiGtTJLpb7NPS3bLnRzFWGQy6I0elRaJ4PTzfqRe7tj/+5hQJzZDH0/JzRFok4sjouAysHSyDIQvOZR64XaY9Rpk2qRwMhUXdOvR2MeSNXApA8xpcdwLsTZPC6aYQxLjWIiGOlJ7nu+2caHxWNTlaFAJDojTBKOS10sEwVRb/0vJz3AvmFBg20lVgeBHA15S//1oAnyl//1MA/nw5TeLdAO4659geQQghZCe4fbzC0SJVXzfNq/nvGpMkstwit67uYFByGdw7S2EMcDituiSTSMemmtUEBhvsTIuDwdV+7SKYhPZ0zZ2kqmc62OVtuAzO0rzT9ItWB4OCqNMcUwlc7RQJAJ2mjxQhj1EtA0TW19jNzBvnRY7bKWUwrE2RUCxiRBzyIY9KIZLNglczgyHMVvFuF2Mwm8SKDgZxRoQtLz3XzNsFBi0XzaQxjeGgvN7Pek7WsBatoyQB9C7W85b2iziKBshgSHE4SxApuVFCbh0tsT+NcW2e6GYwlD/TOEXiYi7MYDDG/DCA/xjAo8aYFwD8bQB/EcD/YYxJACxQTIwAgJ8F8KcAPAPgFMBfGOCYCSGEkE6cpXmtGFNbN+ir1dgxWQY7pMIk0Sk07i0yXJsltYfIaaK1S1od39kq9w/YSaPfu2qlqLs0LoMP2JtEsKvuRWITv+sdb25LOVvlnXZk04EcDGmL66KYIqEsMLiqaBS8xb7DdSP5HLOWKRIahUzaaB2RgjRvyWDockuFAsMk1nEWCWKhD8dUauzwNnem43Iag4rAIMJh0CIRlw6GruNom9QcDMFUkD55N5l1iBs/D2K1HBC7tvZ+KRqFU0K6YN26eCFhlX1//tiWczqEg+F4meFwnuDuWTqIwHDz2gzL1KqKf2lucTBL/H2keNs/cFx4dTvn/uyG//UftPxdB+Bb+h4UIYQQMgRnq9zvIqmum4YCQ/+njrapA1pjKu+dpbi+Vw8pTCIdd0T4oHiyytZCHpu7xsvM4tqWX6NyMERYRXXBog8+MPGcSQmFg2H7YMNVbn1BLsiuYJeQRKHNdXEwS7BIrZ/UoIHUt6E4N+0REigTRnwGQ+Bg0NgVrBwXxfdvTP36A8Jgwu2/3jKzMKY47onSlAfhtJwycBiMqUzzftcJ0F6M95kE0lwbqI+pjE2RwaDVIhGOfWybCtJ1zWahHkeRjoOhpdVgv7ze+wY95i0ZDD4Tpef7mbW0XwwyRWKR4aH96SBr3zpa4ubhDC/fW6hOeCna/ooWHWPoYDgPnZ88hBBCyAg4S/NB+ia1BYbKwRBkMCi1SNw9S3GjKTAo2bDDAu54mVchjw37rnwfXYoP3/8+0Q15lGMK8wySRv/7IpUgz+2+3qYMBqCfzbvNdXHod0l1do6BDQ6GHhb71LpiTGUj5FEzvK+2rm+RCI9BcgO2X3+VF++nMQZJXOQBaFyDQDW+z4c8lue573lpExi0Rt+GYyrDQNCpYsijnN8kqizqfQWG3NqWiQk6mS557mrOIqDK1egb9NgWxCjXel8Rum1ChZbwFyIOBq2WlJBbx4WDQWvykpDmFtOkEs2ZwbAZCgyEEELeNJyt8kGSn0+D2eYaO4LtDgajsva9RYrrjTGLkzhS2ekJrdwny8zv2osrIPO7xlWLxLYsAwfDEGMqa7v0jRaJ07Jo39b2LTv2IdWxdz/vzVYAIBAYFNsk8iDBX+gjMGS5xSQy2JvK9VG1SOgIDBtaJEIHQ88xldK+5M+DUgF2uqyHPDYDUrvSFjqoMZkmt84LN5l1NSFjKAdD2/vZhTRvG8mokzeQtogXIhqFPy+6kLt2NwrQf2rCpuDLIVokrpXtBtqF+mulwFCsrZzBoPxZ9aBCgYEQQsibAmuLSQ/aI7GAamcb0HIwlDkDjRaJPOhx7sq9swzX9+odklpBcuESp8vMCwtNISAMg9yWVWYRmWJnV2snE6gKxKaDIXz4FafKtse9zNrHVAL9iqSqRaI+RQLQFhiKX+MWB0OX9zArrcbzpoNBS2DI66GUcthtGQxdrvvi/ay3d2jtlJ6sGiGPSon1bYVjIVr2HJUaFHBZXrRIyHUyS+KaGPeeX38Oz7120unr5IErxbdI9PyozcuxgyFxpONGya2rtS4BVa7GaU93kbVYdzAoia35hrXVBYZyikSkPKZymeV44zTFzcPCwbDqEEK7CWmRAMpgZAoMG6HAQAgh5E2BFEKDtEisqiddjZyE1pBHpZ3SNgdDEuQB9CG00R4vgwyGxm531qNFYpnlvnVEayezOKZ1N8CkMWZvURYG2x53mm9ukehzPTZbAYDKwXCkKjBUCf6CWIW7uGpWZRr73kAhj3K84fhLoF44+gyGng4G3/6jJTCIg6Hc7fbiXG8hwPlMCkGjAAu/79zaWkhgEpuaW+nv/fQn8FNPtk6vv/jrhC0SLYJR1zXXHAxaIY8t7ggtB4N1Do2lvVusr2BkW9wR2jkJuXU4WeU4nJcOBsU2hjdOiylRbzmYqo+QDVsk6GA4HwoMhBBC3hTI7rN2vyfQaJFQsAQvW1oktObW320JeZzE3YvFkNxWhfPJKg92eyohwFrncwdWeYeRj4EbQFLadQSGIrgvfLhutkh0dTCsznEw9Lke21okhnAwyA5j2FPeq0XCliGP5Y5u6HTRdKPEwbpAPe9CCo8u53+Z5f799PeOVotE+VmyX7ZIaN2bReFff00jgyEsDosWifp599M6RGjocM+H/z6OIu9g6HvfZ7ltaQcoTlLfnxOZtWsZDOJg6JvB0BrYGen8fMjsegaDtoPhJAgyjYyug0HE3/kkLiawKGcwhD/TNMWLBw0KDIQQQnaKZZarzq4WpDjUCPDatDagm8EQhjz6UY89BIw0tzhd5S0hj0oz1K31D9GhJTsJiqRwJ2yZdmiRyAOBQdHBsCrn1odJ/WGLRJrb2njNbUhztyYwqDgYZExlrUVCiphKYHj65SN85898orNDpSruqte8wNCxRSKJDObJeouESqtOQ3iJzh1T2c3BMA2s0sBwDgate7Ot4NUIjm22SIS765GpAvzkPHe552VtoLjn5f3s67jKrFsbWyzXeO/Mi3x9bRGNTlOFKRJNEUCyOvo6GFozGHQL9eNF8dl0bZ4UAcOK4kUozjdDevuSBsGdER0M50KBgRBCyE7xl/75b+Nv/eTH1dc9K3dNcsUHJWGoDIbmmMq+6x+VD3bX580MBr3dL7EBA1VxNAmKpPChbNnhe1mmlT1dN+TRrhUEYYtEKCJtG/K4yuxaP7bslMr5OFlmePGNs+2OWVoBWkIej4Nd0mO/irIAACAASURBVF/85Cv4vn/9HO4turka7DlTJLq0BKXl2E5xMPgWCaXdTN86IsVAedi1FonGzvo2rHKL2URaJLqP62zjdJVhHkxI0cp4aN31TjQyGOqiTRaEG4YCnXzudp0q4UWuuJoi0VcsLkTQ9TGVgM4IzGahLqLRaU93kXNYGyVZOWkUrpO1MZU6Iq5wb1G0MRzOJoiUJscI1RhjozZ5ya+dW0zCKRIDPEs8KFBgIIQQslN84Y0zvHx3u0LrMkhOwhAOhjC0SyODYdWSwTDtUdAJ986KB7vNLRL9d7/EwRCuGwYahjueXXYzl6GDQXFMZVtBMImrIK9wdv22RVLRuxvXXms6GL7nV34H/83//ZvbHXOLg6FtioQIYMuOO6fN0ESgX8tOmjtMIuNDHieB00VFLJJ+/cb1FxaNzYkm2xA6GOQa19qFPV5mvhAt1tfprd90fa8UREX/+9zWWiTCXV753O06VSL3bTp6UySyvH1MJaAUqtnoSZHMkb4jZHPbksGgNUXCOTQ0FyRRpPpz887xCgDwyOFUvf1C7pNpEpUZDHprZ0GWDjMYzocCAyGEkJ2iaaPXwrdIDNA2eabuYGgJeUz672TKzlFbyGPftYHioXwvEBhk3bA/OPwaXcSSImCvHvKoMlauZZRkmLIfCgzbFknLVgdDWSSV5+P2yRJ3TlZbrdsspIEqg+G4RWBYdLSn5y0OBhF5tnVzAOIWiVpDHrUS/IGgRaKlZ1+Ers4Cg4Q8RjqFnXC6yv17COiNqQzDF4VJHPXOjAm/76zMWJHrJCwe5dcu14usDRTXiNYUiTbRpeks6kraIl5EURFsetZ3TGVbToKSENV2nWgX06+Vn3OPHEzVWw3kZ8o0LjIYNFoWgTI/yKGRwUCBYRMUGAghhOwUq8wOsjMg4Wn5AMFMi5WuwNCWwaCxk3l3g4NBy+ZtravtvvodZB/GaGsPZd2mSFTFXRQZGKM0prJVYKgKsF4tErmtiUVAWDgW6y9Tu/X5l4fnSbDlOCt7j+sCg+103IJtETLeclBcQ69vKYoAhY17EhtMSru7d7ooJfhX4ZfSItHiYOjZIrEW8qiWwZDVXECa4l+zcNQIeQy/78xa5M7VhB0Rp+Tcd3Vg5eLWiYzfvVdpkWgKfy3tNF3XboqKQJGR0tfBYN16G4O4gFRCHlvGVGoGGt4+XgIAHjmcqTsY5GeKfL5oCX+pd4txisRloMBACCFkpwjD9DRZeAfDsC0SqcLc7bYpElJo9GuRKIrOZsijls07s84HmQFV4Rs+/NYyGDoUvKssxywQAmKlHt62ULYkjnxPcygwdBlT2RQv4sau+jK3SPPtRoVmjYdeADDG4GCWtLZI9HUwhEXNIwczRAa4dbTcer2sPB/GFDu6cm1rPbSLiBgHwkXxevh3uoc8LtOWkEelAuxkldUdDFFdiOpKawZD3D+Doe4KKR0MQQaDbQg5nUMeAwdD897pSpqvB1/GPi+m59p2fSwoAOxN45obqgttoyQTpRYJ69pcHUY1u+jOyQqRAR7amxRra06RCFokkkgvg6FyRlT3PQWGzSQX/xVCCCHk6ihGnQ3ZIjHc2oDOuLpVS8ijzN/us0PlWyT2NoU89i82aruvsfTWVw+/4dfo4mBYZbZWgGkVpcWuer0gmAYF2KJHBkPYsy80MxjkXBQTJ9Z3Pjcdc7iWcDhL6g6GTMfBENqy48jg4YMZbh1vLzCEaezf+se+FF/5xQ/5NVXEokb4pdR5bRkMXXaqQweDdsjjyTKvOYwSJYfEUBkM4fed5Q55UPyGjpSqRaJfyGMSRWpTJNpEl7jF7dJt7fURmEAR9Nh3hGxuUZt2A+iJxK3nRLkd4LXjFR4u2yO0nQCrQJyfKLZIyOfFJGjnYovEZigwEEII2SnSbBgHg7gMhhpTeW2W4GiZ9e5pBoICKdiZ1gjx8iGPGzIYegsMzmFvsh5QF057qDsYurVIvGU/cDBoFaX5ekEQzlEPXSrb7sLK1IQQKZJk/UpgsGsjLS865maxcTCLVR0Mfve48XVuXpt1cjAUjo5irb/4R7/Ev661m9kMpfRFo9YUiSAHRGsCi3C6yvC2G3P/Z7XwvpYd9UnSf4c3b5zTcApBmKlhe4Y8tjoYBhhTqTE+FqhGsTbZn8a1z5IuFA6G+mta12He0iIRRzrTXYQ7J0s8cjAr1h5sioSEPOq2SPgMhtgM0m75oMAWCUIIITvFKreD/OAWW+oQzwRnq2rXUaPQyILdOqHPWEDh7lmKODI1l0GxttIovNzhYBb2j5v6+rYe4NnVwRAW4Fo7SWm+7mAodnhbMhi2eA+sdYUrobl2+T2I4yUUGC5LW4EEFA6Gk2BMZSUwdCtspABoBst1FRg2Hbe2g6GZwRAWpGmPkMdlLeRR594RTpZ5fdSrUsFbCAz11zQyGMICTsbQynUS3pt9Qx7zQGCI1KZIrIsAVYCkvngBAPvTxOcBdaVtlKR8HxqC0Vr7hfJu/e3SwQDoZxmEUySSWG+UpHw+hxkMdDBshgIDIYSQnSLN7SDzpaW40gyrEs7SHNfmRVGgMaayKuiq1zTC5O4tUtzYm6ztePsWhp7nJrMOsyTyIWxJo0+9Oaaya8jjrCEw6IU8NkPwgikSocCwRaEuhWzTlTAvd8DlupTrZpvrJ81tLeBROCjdNNXxSotEt/dXzm+z8Lh5uL3AYMtd7qaYI+tr3PsiUEox4ItGF/6d7hkMqyz312BTKOrLySrDYSjSKbYvrTkYYtPbcVULecxbHAxOp0VCirnIhONpOx+2X7N5TlTHVLbcm1oOhqbY511iKmMq1ydraGcwPHI4jMBQhTwWGQwaP4+BQLgIpkgwg2EzFBgIIYTsDDIKasicBOv69+42Oa05GPQEhjYHQ5+C4N5Zhuvz9e5IKaxXPQMqi/7raC1hP9xdCwvIbiGPDQeD0uSBzNq1ufVJHMGV12O4+7/NQ2to2Q2ZT8oxj2nTwbBNyKPzQYYhh42Qx7PeDobi1+Zu781rRQbDNveTFOKtAoPREovWBZHmCEy5Dvs6GCZKUx6E02WO/VnYZqTjkMhaMgE0MhjWQh7dBgdDzxYJW2ZIGKM5RaJtfKzemMrWDIZZgpOeDgbb4mAwppiakPY8bjnPIUmsncGwxCNX4GCYKDoYqrZFZjBcBgoMhBBCdgZ5OBh60oP28os0x/40RhL1T2UH6rt1gkYQ471FujaiMlxbJ6m+Gq/pLerlaDnZ4RQ6tUjktja+s1k4diVtsUuH5/ysYwaDFLtNB4N8DyKyyK/bCEjZhl3SjVMkuoY8Orke1wWGNHd+/OllkAf+tuKrrZDp8t5WAl31NSJTL0i7ZjA454qQx6AXG+i/cwwU98MqtziY1q9voN+OunOFcLs+RUJjTGUY8mjLnfv1UX4aDgY5/sqR0r+NYVPIY9+fQW2tBoDOFIk2lwFQvJ8aDoameKEpAqwyi3uLDI8czqq1FQX/ZSPkUcuxGI6/BDhF4iIoMBBCCNkZZGd4yDGVxfq6bRJnqxx7k1gttTq3FnEjvM8Xuz3Ozd2zdC3gEdDpI3fOeRv2rJGwX3yNqMxgCFokOjwML9N8LYNBK+SxKQJMggkBIlAlkdmqSAotuyHiYFisORi2EBha2jqAtikSpYjRNeSxxREAFAIDsN2oSi8wtDgYIlMXiz703B18+d/+OdzeclKFFFlxTWBoOBg6ZjBk1sE5VC0Sco0oXIPSm38wWw9K7fOZ1Sa4AEURpj2mMneVABAG+MnhdxYYAkdAW2hntzXbRzICGg4G13qNH0zj2r3ZBWvXxT4ApcDd18GwnrVSuMR0fma+froCgFoGg2ZLZDhOMil/Hms4FpshjxEdDOdCgYEQQsjO0Me2fBHhrpF2DMPpKsfeNMYkNp0twCFtO2tTlRaJdG1EJaDjjpC3LIkMZmXxHLYFFIFbjRaJDgXvKl8PeVQZU3mug6FokZglEeaTeKv3WM5pM/BtPmlkMGTbZzBsCpKTKRLyYC0iRlcHQ+4dDPXXbx5uLzBUBUB7gRQ+tD/z6jEWqcVLdxdbHa+MZAwFumZWh3ydbXfBwzF4xTHrTHkAgJPyM+qgLeSxRxHmHVFr13d/x1Uzg6Gw7xd/rjkYXL+Qx2Vm/T2jJQLkdl0E8PkOA42p3JvEWGa2V9HbNkUC0HGkZNa2Ohi0WgtvHxcCw6OSwaDUFiWkZZvfNI78mFqtnw9AMEUi4hSJ86DAQAghZGdIvYNB/wd32CKhPapykRYOBo0dQWBzHyzQt0Uiw41zWiT67H7JexZHpmqRqDkYzNoUiW2mMQDVRIZmyKPG+5nm6xkMtRaJtBCRZkm0VZHUNnIUqHbAlw1hYZv3YFPI4+FsAusCYaHnmEprHSKDtXBQ72DYwmGQ+QDGFgdDo93leJmWv26345u3CC/FbnrwdzqKmWsCg1JGAgDf1rIfhDxqiH+bHAwThR3ezGdqGO9Q8uNBW1okugqwyyBYs20qSNdjX/uc1RpTuUH8m01iONfvs7atjQGAytSEvMXBkCgW6rdPis+Kh8sxldr5Dqs8RxIZRJEJAlJ1HG5A9Tmu7bx40KDAQAghZGeQh88hQx4BqCZiy9r701hlBwlodzCoZDBsapHwYyR7OBjKfxpHJuhPDx0MRT9sTWDYsuD1u9+DhDy6NREgFHWkDWaWRFsVSfJg2sxKaDoYlp1aJDaNqSzWPioL9GqKRHcHQ1vWQ68WibYMhoaD4WhRFNzbjvUr3Cj14zUGrQ6Gba+d5jVYtS4pOBiW6y0S1b3Z38Gw+TOlR7Fbrj1PYuTW1uz7ofhnvYOh2+79IrWYlfeMfBt9Trm17bkUkVIx3dZ+AYTCYrd70bmiRacp9gGlYNTzOrSupW1E4RoU7pwUDgaZItFsXerLKrP+uq7alxTyUURgSEIHAwWGTVBgIIQQsjNUDoZhMxg0HQzOuWJ3u8xg0Bmzt7lFomvq+yLNscxse8hjpOhgMFWLxCT4HpJyx0dspZHZPoNBivAhQh6LHu/6Y5Gc82Vm/Xs8TaKt+sgra227g6GZwbCVeGHXjxmoCtSTZY7cOn+eu2YwWOvQ8mVwfZ5gmkRbCQzNXuaQqOFGEYHheLldMZYHu+jCeotEcRzb2rPlHIbj6gAdB8Npa4tE/xaMjRkMCqKlXN+zSVxmMLiag8G54voJz0+Xz5nQweBbJHo5L+qWd0Frt75tLCiw7lzqsi6wLowAlSOlD20/ezQdDK9Ji4Q4GJSzDNLcrYl/Gvem/xyPqmuQAsNmKDAQQgjZGeSHuLbDAKg7GDRbMIodOWAuGQxKDoY1O3PSL63+3qLYzW4bU6mRhB86GKqQx8DBUD5Iynu8P02w2nIXT3b9hspgaBYbEkR2+3hVOBimMWbJdhkMviWgUWwkcVQGRuZ+MgGwnehSHHP7KDyg2BEPd0q7jqnMWsbiAcUu6s3D2VYtEs1e5pDmrqC0Rpxu2SLR5kZpXid+fOLWDobiHMpueqJQpAu+RWIatkiIi6a/y2DdwdC/7UoEw/kk8lNivMAQtDKEQk6X3ftlZqsWCYWchE3nJFKaIpG2jMAEKnG0670oh9UmMBQibk8Hg3VrAZIilOg4GJZIIuOzgJptUX1ZBg4GzQkvXhhNZIoEQx7PgwIDIYSQnWFIB8PpQCGPEh65P9FrkbADtEjcOyuKl/PGVPY59qq3vspgCB+wk3KEmjy4703jrXfxpLCfxUMIDOsFwdtuzAEAL99bNBwMly8OpDBsa2WYT2IsUusnEwDbjqlcz40AiikSQOEACHMX+uyato3FA4o2iS4OhrbzIVMHxEJ/7B0MWwoM+fr9Y4IwORuc722vHT8Gr2HD1vjMOilbQQ6DFgmNQMOqmG5kjCTiiurvYJhPYmTWlgGEpcAQV8ceHn+X63AZtEhoTJFIvfDX3hbV53zL9dUmAoi7q+u9uGlkLAA/NaEPRXte/TW5VVUyGI5XePhg6ls8tAv1VSBEidtAQ/RvOq9ijqk8FwoMhBBCdgZ5EBjiB/dioJDH03Inam8qIY86eQBrO97lw2rXFgnvYGgVGKpd0uNlhhffONt6fXnPImPWEvaBKsxLHiYPpts5AYBAYJjohzy2hbI9VgoMr9xdNEIet58i0bZjP59EWGR5bb3tQh7b+7yvlS6V42VWc+503zVdL9iFbQWGTaGXQFUAy+3vHQyr7Y677f4JRyaGBU3XkMfZEFMkylaQ1pDHHqpotqGYVgl3zQMHQykkiAAQB26A8B7tEvTY2iLRR3TZkAXSFiD5Xb/wNH78Iy9ceu1N7RdA0CLRsV2p+pxd/3/TuP84ydyti4lx+X1otUiIMwzQL9TTYMqQZgCr3CNhaxQFhs1QYCCEELIzyIPAEFMkJIgR0G3BEAfDXNHBkLf0vBtjeo2Vk3729hYJscBa/MOf+xS+9n/7FfzGM69td8yuemCfNR7w5PUsd74gKVokumUwTAdyMDSL0muzBPvTGC/dXeBslWM+iTGbbBvyuDnUcJbEWKa2tt52IY+2tYiRHfDjZVoTFboKDHlLy45w89oMr20zRWJD6CWwvnt8VAoMJ1tPkbDrUyTKUXtA/fNl24+C5hQJEUq6Cn8hEmapPaZyUzuAxuhbKab3JrFvkZACNcxKCN0GXXbvF6n1zigRAfq0SPjgyw1jKsMRhD/x5Iv4xU+8usXa1USdJvI99Alc3bR2ovDzp3WCkWIGw52TJR4tx9sCQBzpCv5FyGNxvJPg51pfms6rWHn6xYMGBQZCCCE7g/wQt66f/bWN01XuCy/NBxop2vanCZLIdB7DFpK37MACKEMku60fCiFN5AEyzR1eeP0Mi9TiL3z/b+GDz96+9PpSAEXRhhaJqD5F4mDWvUWiOUVC48E3C8LBBGMMHr8xxyv3FtUo0nhLB8M5YxlnpYMhvGa2sfO2BbIBwLVyUkjRIlEVMn1s2W2WbAB49HCG2yerS1+Xq3McHc3+96NFtzGVact5iaLqMyUsDLb9nFk2rkFjTDmyrv99f7zMYUxRrAuxFxgUQh4bootOa1TYItFwMEhhmtdbJDo7GCaSwVC81ueUb3J1VMV09Vqa263uHTkn50+R6HbwrvxnrS0Skekf8tgyAtNfgwqF+u2TdgdDn1GpIavAwaCRXyI0nWiFg0F/I+RBgQIDIYSQnSEsrjRFAGsdlpnFYbl7r2ltFPu29OdrORi0U8JlxyycwBCuCxQPUbdPVvgDX3QD1+YT/MBvfvbS69vQwTDZ3CIh576Lg0Guj/B7iJR6eAsHw/o5f/z6HC/dPfMOmK1DHjdMkQCK0X7LNO/sYNgU8igtEs0Mhs4hjy2ZBsLNwymcA+6cri69FtB+PpJGIXO86NYikefO918LkalaaUIH09ZjKltcNFp95KfLDPuTuGZR984lhQyGZlFauS96CAz+noyQW1ubIpGEDgaFkMd50shg6ONguKhFoiGIbDs+tm1toH8Gw3kOhj4CNFBlRzRbJFQdDMcrP6ISCN/L3ksDKFsk4vrPH42fyc1w2pghj+dCgYEQQsjOEFp1NUWARflA6x0MimufBRkMGmPCABk/2PYA2X1KhfT8zifrP/rjyCAyxYPx7eMlvuTmIX73I/u4e5ZucczVg69/wDu3RSLeutDwIwKTenEX7kL/y4++iH/6r5/dal3nXJnBsH5uHr8+xyv3ljgtWyTCkMezVX5h0X5eS8B8UrghZDIB0CHksXXdwmlxb5FiWR7ftVlSExu2IT/HwSCZHtKCc5ljBtodHX46QHmY4lzYOuSxbUylCVskujsYvMgV3EdarVEnqxz7s5YWpqhf4bhpR11CHvuNpy3+7axskQgDaqOgMA0Pv1PIY2YDB4PeFImmq6Mt5HGV206TY5rtF0DQItGjXQloz2CY9LTte/Fio4Oh38+2ZZbjaJnhkcDB4HMSlNwAbVMkNB0MzGC4HBQYCCGE7Axpj53F85Ad0EEEhsDB0CcjISRvGRUGlIVMx50vEVnaWiSAsn/XWtw5WeGRgylu7E385InLHjNQjqmc1OeQy/phi0Q3B4O4MDaHPL73wy/gB3/zc1ut60PZ2hwMZYtENaayapH473/4I/j29z517tqy87xpZN0i7R7ymOXrwZTCtXlSOBjK9/3G/qRz33fbVBNB8gIum5Owyjbv7oYOhtw6f99KNsFlaQvsDMfhhff/tk6pNgfDJDYqQXKnqwwH0/YWpiHGVE41WiRyh8gUa2VlmOOag8G6WgHZqUUiDUIeFUZJVjkJ604XoH5dpLndStj1Lp0BWiT8FIkNGQx9WvS8eNEU55QcDG+cFoL1WwKBwedpKHUbhCGPcn2rjKnMGhkMUUQHwzlQYCCEELIzhA+6QwQxisDQZ+drbe20KH7EwaAxEitvKZCAfjulstO+SWCYRAZHiwynqxwPH05xfZ74yROXPWZAQh5j/3tBHAzy9w5m8dbnqs3B0Ax5PFpkWzkvgMDS3OZguDH30y+kDUYe4j93+wQv311csPYFUyQaIY/bnJPUtoc8AoHAUJ6zh/YnPRwM7YIAABzMqokV5/GZV47w9MtHvrBr5l0AwY63c7X1jpdbtki0BNVFprpGa58zXVskknXxrC/LIMgwJIn77ZZemMHQM+QxiSOfQ2FtVTSG7QZ9WyQWWXVuNAreTaJiJYrURb9tPnc3CTpAGPLYT2BougyA/g6GsM0tRKtFwrvogmu82RbVl3BMZRVerOdgkOONo2GmXT0oUGAghBCyM4TFleYkCSmuJYNBc+fhbFVZ/qdKVulsYwZD915sKS5nLYUdUNilXymL5UcPZri+N8G9LQr16qE6quaQNxwMqXV+J3Z/miDN3VYWdbk+zgt5PFqkuLdIt3r4kyDGNpfB49fn/vd7kyKDQYqDo0V24ftdiRctGQyTok1k2TGDIdswphIogh6PF9UUiRt7/RwMbTumxdcpBYYLWiS+46c/gb/54x87tz89LGRCgeF025DHlokgtQyGHmMqly3X4EQhXA8oW17asil6ChjyeTdUBsMkMr64LfJjiv8XCgHhl9h2l905VyscNVok5Dpca6VphDzm5fe0XYtEvV8/pMpg6Nki0Xr/9Gul2SSMiMujb0HtA16De6fZFtWXVUuLhIbon1qHaRzB+ABT3XDKBw0KDIQQQnaG0GY8RE7CtQEzGGRMpYZVOkxiD+nTIrHMcsSR2bjjnUQRXr5XCAyPHE5xfT7BvUV26QeoKoMBG8dU5tb6nUGxgl/m4S/NLZxzvhBfa5FoOBicqyYQnIdzDn//Zz+Jj71wF0B7QfD4jUpgmE/rYyqPFumFhWUlXrT1Y687GLYNeWxzXQCFW6fmYNib+h3Ei3j65SO88Pqp//Om6xGoHAwnF7QxnCwzvHx3sZbGHhJa30Ww2J/GHcZUrgt0cWT8tSzX6jSOthcYyvt9Fge7sD3D9YRN72dfAaNyF9XXrsJd+zkB4sj40LtQHA179/uMqZS/L+4reWv7TZFoF/6aYyrlet0u2FXaL9qDXQFc+l5sIoX4xha6Hu/lprWT4H3sg4hkoWtE28EQtkhI0KvGz+Q0GH8J6AZfPohQYCCEELIzpDUHg34Gw8EQLRJlYbU3iTFJdDIYNjsY+rRIWMw3uBeKtQ1eubcEADx8MMX1vaTWB38RbQ6G2hSJskVCHoD3ppd70D5apPjK73g/fuXpW2sjAouvty4wALhUm8Trpym+99eexV9/X5Gj0LZ7HDoY9svwxFVepMqfrPLLOxjaio1JkcGw6prBYG2r6wKoWiREALuxP/F5DBfxP/zwR/AP/tWngq+z2cEgbUcXORjS3OHW0fLcMZXhjrcIRI9fn3cIeVxvMQqvE/m1mHzQP+Qx6TnlQcisbe3b7ytgVHkDjQwGH/LYb+1JHPnd83CkaRw4DcJMg22L66awqDFFQgSEpujSdDDI+71VBsOGUE1Ac4rE+v/rmwG06Tppii5dSbN1Z0fYFqVBm4NBR/yzNfFPK/jyQYUCAyGEkJ2hT2/0eZw1WyQ08x3SwhkwTaIig6FHP7NgN2YwdN/JXKT5xvwFoHgYu31SCAyPHs5wfV5MB7hsDoMXGIzxXyd0GkwkBK4UT2bl31nm5xe9t49XOF5m+MyrR/7chrvHUaNwlGJUAsXOQ3bGn79zVhxjy0SGRw5nvlDYKx0MAPD6STGW8aLCw/futmYwxOUUiW4BeEWLxKYMhgmOghaJh/YmSIMMjPO4dbzEa8dL/2frXGtBAwQCwwU5Cavy+5Tz1nZ91wSG8r157Pocp6t8KytyW+uIMQZy6/hE+CS6sLD50HN38GNPPF/7PoBGyGNPa7qQbgjtFKdLVy7MYOgZ8hhHxqfqh+4RvzvduO6WW3497xpRnCKxSfhbczBkXRwMmzNd5Lrp3K4kIY8tDoakZwZDviFAMnwf++DdXI0pQIDez/tV6GCQ61th7VXu6i1/dDCcy/osHEIIIeQ+sRrIwbBY1VskNB0Mb5ymeKgc1TdVG1PpsN9SOPZ1MGzKX5C15bQUDoZSYDjL8LYbF68f9u/+ia94HGnu8EVv2fP/X0LgxJ0xKx/WLnpwl133u2cpDmfFMdV2j4MpEuFO92UcDGLrl93tSdJe9L712gwv3l0UIY/lcd8qC/ALHQznTpGIWhwM27RIXOxgWKY5jKnGSS6zHPvTzY9/zjncPUtxN5ggUhSN7dfOfFIE/B0vzz/f8n29WOZ8tIk5ocAgjggJ2Vxm9lyBLCRrOd7YwIsUoYPhop3kH/7Q5/HBZ2/jv37XOwAU12sSmVoRlihNkchy2/re7M8SnHYcawhs7q2XIqmPKJrZovCSjJXIBGMqA6dBLeRxy++lcjCUIY8qUyQ25A001pbP8+0cDPVAwJCoHOPbOeTxnADJJOqXASQGhbWAVKViWsSa0KWj8V6GrDLrP6Mnig6GLLeYBp+1/rOKGQyt0MFACCFkmGlPXQAAIABJREFUZxALJdDfjhnSbJHQFC9eP135sVuJ4pjKtrpxmnR/gFxm5zsYpOCbTyLsT2PvYLjsRIZwl/T6fII/99Vf7AOx5PU0dz4U7rJWYbFTv3Ga+l2/cPc4DHkMcxfeuIzAUO66f+O7fzeAIgixjcfKHIb5JPbOi9eOi5348JptQx5u25wGs9LBEO5mbhXyuKGVBgCuzxMcr4qpILMk8u0xF+2En6xy5NbVAj6ta78egcIZcDCN/bnchLzPL71RuEXOdTAEUyTeen0GAJdu1QHK4MFzWiTk/p9N4gsLhMw6LMIpH5ldm4AhxXVfNk2P2Z/EvhWr67rA+uSBqkWijxOgCKb0DgZX5XV4i7qtOxi2nh6T1cfTahS8VQZDIwy0YX2X+3Gb7JtNjhFhlkSdMxjycxwM06RfBpBvv9iQwdC3mJbrbNJocQOGcTAkCg4dodki4c+JohvyQYICAyGEkK35737gt/Ddv/QZ9XWHymDwLRLiYFBc+87JCg/vFwKDtAH0XX/TjnGfEK9Fan1x3IY8DD9yMIMxBtf3inN12UkSsmvX9uALwBcgUhRPL+tgSCsHw6oM2gp3j8PC8WixnYPh/2fvzaN1ye7qsF3jN935vqnf0Gp104NaoBEJEEgGYQJEeMHCJMgkK0o8QLwgXsFxnGDHXsvLdhITo0QhBBsnBGMDihxsDDaWkEASk5AQSEJSq+dWv+5+8x3evd9Uc/449Tt16tQ5NX11LfVV7X/69b3fra+GU1Xnt8/+7T1Pi7Z3vOYe/MaPvg1/6qFzys/dkxIMI9fiRc6d43oKBj6pVqZImLn9HrtW7eubJElakOpbJJKEjc+hY3FyqUqaTedNPH8q00T5u44rPBioqLx2mCoYSjwYwkhQMKQeGE2MHm8eLXFmbZD7mWEUPRhcy6wsEKI45mMQYESJTDA4qTpnVQSalpdxDQKnDLrV+i5aJALB5FG8v4F8TGWuRaJhcU2kmGzy2I0Hg7qYpm238WCge1h3zwwcc/UUCVWLhLkawU3vLblFoiu/gUBxzjsnGEQFQ7rtLlSFQZTknuFWhxGYpxE9wdCjR48ePRrjC9eP8dStaefbzREMHa4MyDGVXfZNHswCbE/YynfW87lasRHF6vjBVSaQTMGgf+1Tobq7xsiSph4Mugx1cfthHPOimIq06hYJ9vu7i4AVd1JhqiUY5n7lPlPRNnFtPHR+XVsQnE+L3LFIMKQtElWFRxjHsEwjp+YgkOT7KN3vycCuXcjw1ouK+MjbUw9DO/OOqFIw3E29K6ZeyIvmME60xBHb7+qkh6xFIvW7UCkYBEk9eTCcWx/y/amDw7mPo2WIV+yOC9umMUrHVceDIYwSLIPMA8JXjMGulEs6087xwOYkaRvoPRioACvu+5M3j2uRJlGUwDHNLPIyjHmBSmRJnEgEQ8sUCW7yyEmARpvJQUcCyCaPXMHQIFKXjlWX2CNG3TYFvVqULRIpwd02OlFMAsptl2IqV/VgoBYJhVliF+/kKE4QJyh4MHRl8th7MNRHTzD06NGjR4/G8KO4k5e2DHGlocsXN8mr106gRWJ/7mMnbZFw+YrgatsP4xiWyuTRNltnei+DqNSDgfpL6VgyD4aaCoaKVTuK2gtj1sNOxXXVRFtWMMirx3mCQWiRqGHySAqGyaC8t58rGJyMYNhLzQrrpEjoSBcifOgcrw3s2lLsMiM5ICPTbh97GDomj8dbVhSqonKBCJu4QsGwNrArCYAs2jPUEi6WIKk/XgZYG9j8OOY1WwSe32Pxmld2JILBNHhBylskaqRIUNEi9uIPJKJu1XhAQqiJqRw7Vu3jVyGLqVQrGORnyt7Uw3e+53fw/s/fqNw2EWii4oqIIvpRGGUpEo5lNPZ84CaP1CLRQd++jnSRTR5z/ig1ieNAk8ZAqOP9oQORZMoUiRWVBjp1RFcKhlBBvHTpZeBLBIbYorMqxPhLQDwn3c+DTgN6gqFHjx49ejRGkJr1ncR2CV23SLjCqnlXJo9JkuBg5mObt0ikK4IrJkkwDwZFj+0KJo9VJnm0SrU7YdLyjbSwO6qQvhOyia96Um2ZrJijgru2gkEiGIiYyLabmTw2bZGYpcRTmekhAHzrq87je99wCRc2h3y/sxaJ8rEUSO7jIoZcwcD2dTKwal9f7siuNXlkBBEjGMQWiQoFg3De6N9RUk4wTGoQDOJxaVUutDKdmjyuD22speRPVUoF4eo+IxhkBYOcNgIwqXpVkUrPITIbVSoYTKOTQiPQxFSOBxbmK7RIiBGyIrjiSvIRubsIEMUJDmqQdMzk0ciNQ5WCgVb/R47VuD2AKxjSMWwJ46QtsihJ2QxUrWAA6pth0kq/bpy7qblrG9CzTqmIWjECM1Oh6aI7V/VgKD6zxLaoVcETXiQFg0igvbA/x6995lrjbQcSUdwrGMrREww9evTo0aMxgvCkFAzZNrtMelj4rD2ga8fqYy9EGCd81d/hpmkrEgyJetXbXSEGcxlEvKBVgVZ7zqyRYaWJiWs18GAon1RTRnsUJ7CsjGCoKja8XItEVFAwmAqTxzNrbk2Tx3oKhgfOruHd//Hr4FgmJzjupAoGub9cRhjHerM3wYOBVB21WyQqihhqkdif+xgIyouqwuZIQTBUKRjWh+UEQxwnOSJGLtAJdH+GMTN5XBvYnPyZ12yRIILhXknBYBrZM4XGqmtVt0jQtaXzxjwY8uPFtlYz1yOEmpjKsWthHjSL6sxtV2PySN4J8vOKxmAdopRUF5ai+KLLzEwe2b9HrtVcwSCZPPLn+Al4MJimAcMQFQyCOWVddRHftqZFwlmlRUJ9LQFg5DZT+8jIiKj8z7tarc/8aIpqly7e9zRuSY2nitd87x9exV9936dbbVulvOg9GNToCYYePXr06NEYTOre/Ys1F1PZsQfD2LU7N5Q6SIvMbcHkEVg9dzuK1AUdMwdrH1NZ5sFA+05kCcDaJOp6MHB5rVbBwIiAIGY924OaCgZPUDB4YTFq0xZWpkltcWl7XM/k0QthGCglXmTIJo9AOaGkM+4DBAXDIoBrsz72qlQKAk+n0BTrpEBJEmBom3z1t0mLRE7BUObB4NqlHgyytFxHuORiKr0Qa0ObtzXV9WB4fm+Gs+uDgipF58GQJCgt3GlskTGhHylMHjvyYAgitbnr2LURxUnr9igqlpVtV4p9p2Otc0xBxFokbEXxRccSx1mLxKhFcU2f5yaPHSgYyowYLSNTRYnnoG4bTJZQUZYiwe7DTzy3j8+9dLf2fusiRwF2bgFg6bcdJ+oWCdn4si0yBYMwVjpsY/CF+xoQ1RHZ+fCCGEHU3Kci1LRI9AoGNXqCoUePHj16NEKSJKkHw0m0SJycB8PQMTufFOynBEPBg2HFFolQE1e3SrwZ82AoiamkFAnBfX9j6OBoUa+w0/V5E8iALEwLEt4iUVHEkClhkgB7U7/CgyGEYxk4tz7gZoVlmPkRxo6lJUVU4C0S03oEgyoykUAF09EyTAmG+h4bRGJVtUgAbNV4WFM+rSIYwigpPUdrFQoGmUTSkSLi/Xm8JAUDO0d1Yyqf35sX1AsAtUiwf2ceDBb/Ph0KCoYgwsCSCQazkwIp0pk80jlo2SZRpi5SjTkaI3WOKUpbJMRtU4EqKlLiOIFpkMFhwxaJIG/yyL5jVQWD3ojRMo1CTCXQoEWi4lkoejD8nV/7PH78A0/U3m+6JCrTVT5OglUVDBoPBuH9/Mkv7uOX/+jFRtsPOcEgtEgYq5NFhEBqkTAMllYkEv50XZver3Krm0od0SNDTzD06NGjR49GoBfzSTD3YmHepXnSMogwdKzMHKyj9ouDNKlgeyIpGFZtkdC49tPkvI1Umnkw1EiRyCkY7NoKhlCz+kWg3nIvZAQDFQtVhIm44n7reFlp8rg+dLA9dnC4qE6RmPshxoNy/wUZVJSSySNQvrKpI4uArEXiaBFgYJuNPDa4gkGjjqAWCYApJQYtTB55i0SFgmFtwBQMunFJ54dUFbrkC1nBsD60MWmoYHhhf45XqAgGIytiuAeDXR01R8+hZYmCwTY7bJHQxFQCwLxl336sKRwBta8LFdJ1CmoWU2lK0YPsv3QoFF9pmyYGTvM2r6XUIkHHssorSBfdybetIhiieuc/4O1L1SkSx8sQhzUSbwhlXjekYFjUJONk0HtRJhPp+SW+83/x41fx4x94vNH2fYUxLS/UO1Qw5IgAy8jNK+h6Nr1fgyiWxniarNErGJToCYYePXr06NEIPLbrBNyTxclcly/uZWpwqJoorYL9GSvAdiSTx7ZSZoLOg2Fgm4gT/WTsiRvH2sklkSw6UNFHMZVAqmCoG1NZIQsmKewyiOAIhptexbkSV9xvH3uFFgnZ5HF9aGNz5NQzefQiTNz67RFAtjomjqHyFokYTlWLxDLgCobaJo9R+fkeORYvQoaOmSkYqmIqFwEupLGcdO3JN0OHtYGNOIE2SpEKykvbrPB37DoKBpYiMbBZ8VoVgwmwXv3rR0vcu1skGMRxwj0Yapi+8haJtMhdBjFG0pjprEVCo2Cg3vpFy956nQcDkCZgSG05dKx1jilKjSnFcUgkoy0UYXGSwDQZodG4RYIUDMLzyzSM1UweOUGnJhhCft1FBUO97ytrSQGo1Y2d47kf1kq8ybZNRG7xdzQu2xIM/BmuUzAI59uPYh7zWxc0nkQPli7aXfg+hcXt28K1BDJioekChh/FuedWRoz0KRIq9ARDjx49evRoBJqMnoiCIU74pL9Lj4flCZk8cg+GCZOjZyaPXXgwFF/RZUkAe1MP7/jffwf/3x8XZatJkjD/grIUCY0HQ51CHShfEQTAi+xlEDEFg8X2pW6KBMBaGmSDPcs0kCRsgsoUDDa2xi6WQVy5Wj/3Q75CXheqqM+yY9AZ9wFZTOXUC+FaJhy7ftxhGBdX60QYhsH9C/IpEtUKhnMbA7i2KSgY1MUpgasMNIkjnGDYYsSFTjouFjIsRcKBYRjM5LBG0fTC/gJJUkyQANKCVPJgqNMiwVMk0iJ34Yd8pZhgW0YnzyvdWCESrGlBR+DSd2X0rcLkMazvwUD7LK7WZx4M6fcnCU/GaaNgkE0e6TtOIqaStp0pGPJFdR1wM8OyFol0PM28qJGCQacyAAQFQ9uECp0ZqOK9GUQxZn7YiBjIfGOKhqAn4cEAoEDatlUwhFGSIy56D4Zy9ARDjx49evRoBO4wfhIeDGHMJ0ndKhjSFomOJwV7Mx+OlRVyVESvupoZxoky55zHkCkmkJ9+4RBhnChTH3jMm2blGBA8GCaiB4Pd2INBV4jShGwZsFXaLFKtfDK8lH4vJxCIjvLHyxDrAwcbI0b4VCVgMAXD6gRDqQdDHJdKpQHmL+HaFhzLqO9UX2JSR6A2iWEuRaJawbA5clL/DUHBUObBUNHGQM+MS1sjAHpShL6DFS8R3+5ajRhMALi6PwNQTJCgbVMxJCsYmngwLIKoSDCY7eNjCUmStRHIGDX0oZDR1oOhzjOeScfzLRJZigSdX5YeY6ZJKW1MHi3TKKQPrNLqpouplLe9igeD7p6hcxDFCRZBhKNlWPudRG1IqudsU78SGTqjXjpHshIgSZq17fAWiVyrQXdtiyoFgyMlvATSM6AuAslLp0ti5DSiJxh69OjRo0cj0IQrOqEWCZq8d6pgSCMau86uPpj52B67PJOcJiCrmjxGsVrBwH0LFNv/1NVD/rcyaLWsrEVi6FhYH9g5+ffGyMHxMqi1ShWVTNiB7NwsQ6ZgoElgtYIh3/s6kHwkRNKIWiS2UoKhKqqSeTC0a5EAsgK+rBBj5mDlCgba7sBu4MFQYfLI9o+dh4Fj8mtfx4NhY+Rgc2RnKRIaTxBCJcGQXuOLKcGgU3TQdabWDDq/44FdK3rv6h5FVE4KvzOFolH2YKilYOCS9kjZIrGqB0PZ9aREjEXH5n2A2oOBSL86K/ZR6jEibpvuyWzlO/XxSO/75gqGYnqMYawmq6fVdJ0HA50z1ep3FQK+Uq8jFlmLhDim68YB0y4oPRhWbJGINP4OpHwRzzeNjTqtSwQyvDUMBcHQwYIFJxjEVgbLyLVz0nVv2toQRLEyKaWL1o7TiEqCwTCMnzUM45ZhGJ+Tfv5fGYbxhGEYnzcM48eFn/+YYRhPp7/79pPY6R49evTo8aVDW4lh3W3TJKlLAoP6pnm/Z0cmj/tzP9dSQC0SJ+fBoG+R+NQLBwDUxAwVR2Umj3/+G1+Jn/pP3pD72cbQQZwAsxrFXbb6pf49Tc68gK14mqYBxzIqVzOXQYRz65mqQnbwt3MEAzN53BqnBENFb/PUC1soGLLikgwxKxUMukJDIHwGVjMPhiqTR0BQMNgWHIulqNRJkdgcOTkfi0ijqCFUGTHSMV2sUDAQiXHtcAGAjT/a/rRGe8Dz+3OMXQtnBB8Rcdv0SCkoGGp4MJDyYxkUCQaWkLKiaklhgEfoqkVCp46Qt8tbJOqYPKaRurK6AMgKU1IwUItE0xQJloBT9F7pwuRR58FA58zPeTB0lCKRxg2LSoMqMlTetorv66xFoqBgKK7W03ita74KkAqgeB2BbhQMqhhM9kwVWzuoTarZ9/lhnPd26DBe8zSijoLh5wB8h/gDwzC+BcB3A3hNkiSvBvAP058/CuCdAF6d/s3/aRhGs6WBHj169OjxZQ1OMJzAi9WPEr7S2iWBwQwOzVxsWhcgBQOBx1SusO8J9StrTB6BYltBFCf4zAssSz1UFKi0aj0siam8sjPG2x46m/vZxogVjkea3noRZZJjQGyRiPjkrM5qphfG2By7vBiUFQziBFU0eQRQ6R8x9yMuK64LcYWZyKUyQimI1GQRkG+3GDhmYTJchiqTRyBLbaB7amCbpQqGJEnUBEOiVtQQiMjQejCk52dz5GDiWlrTSxo7/+qPX4JpAG996AwAVmDPaxQyT948xr0749wKKcEyM2KRyEs6/2XcgNgiEUQxgijBWFICOaaBIEpapbsQaJVVNVZWXZnOEl6Kv7tnc4hrdxe5n3lNPBhiZmJaR8FgpukxbUwe5Yhd0bST9rXJ+WeqHLWXgWjyKN7bdfe7yo9maFvwwzhXnNf1YShLkSClS9sWiVjTfpH5DRRTnpooGOSox/y2T0jBYBq5dyLtd9M5QBjnlWh9ikQ5KgmGJEl+G8C+9OO/DOB/TpLESz9zK/35dwN4b5IkXpIkzwF4GsCbO9zfHj169OjxJQY5aasK2VXBWiS6f3GzFTCr08kMoFAwdBBTWSZnHmiSAJ65PeWTVdWxLWu0SKiwWdPLACif+AJCi0QQ8SLKtasJBiKHqO2h4MFAffthjKkfYmNoY2vErknVpH3mNTd5NIwsYnN3bcC/W4dQsWpHGNgmX4l0UwUDFTTv/cRV/OzvPqffboXJI5C1SJByZehYBU8LETM/QhQnnGAg/424poJBp3QR8+nPrg+0pAjxDtfuLvH2R87hns0R337VSulnX7yL33t6D9/+6gvqbRui7D3fIlGmPhAJBloZVikY2HZWMB1U9KcTqHCsoyRSbjtmHgYq4uXi5gjXDhe54pwTDDVbo2wrnyLBFQxCYRrFjGirc8/L8MKo2BolpEjM/RDf9u6P4j2/+VTtbQaaSFDab27yGOZJDIAZ6lYZuwL6e5OORXw+1VUw6EgAIBvP7RUM7L+FFgkFMU9+CjpSUQXZxwA4eZNHu6BgIAVm8xaJXPxl78FQirYeDA8BeKthGB83DOOjhmG8Kf35JQAvCJ97Mf1Zjx49evT494ynb015ykGXOEkFQxDFmYKhU4KBbbfrvsmDmc8TJADBg2EVgqGkUNe1SHzq6gH/t2oFXOXCXgckUa9DMFSZDtJkngzb2P5YlXJpL4gxtC1OdrgKqTTAVBZJworqzXG1giFJklYKBnEfshaJ8h5+XUEtkhWubcJN4w6TJMGvfPol/KtPvaTfbklBSiBlAUmnh4J7vQp0vrZGTi5BJEqS0hSJtYoUCU+QLn/Tg2fw2itbys+JBd8733Qv//fEtZTFdRQnnAD4iQ8+ga2xg7/41lcqt22ahqBgIIKBnZcyBQORD14YY+nrCIa02FhBucQVDIqidFXzvrDEpPPS9gjLIMaB0E7kNWyRsE1dikRG6Iapj0dbk0dZfSW2Mfyjjz6LL+7N8dTNae1tRnGsj9QVFAyyyWMcJ/jT7/4ofuHjz+f+Johi/MRvPIGjZcBX+nW3Jo27vWn2fr5bM6pSZ8RIPxs5Vus402y/89s2TQOGkSevqUBftUWCvuukYipdy8gRiLxFosH3JUnCxrkyRaKPqVShGW2f/7ttAF8P4E0A3mcYxv0AVLeS8goahvGDAH4QAO69917VR3r06NGjxwp4189+At/51RfwP3zXo51u9yQJhjBKOk+RiOIEfhR33iIRxQkOFwF2xioFwwormSX9u1kSQL7Q+PQLh9gcOWl7hapFop2Cgacx1Fil4vFpmkm1uOJDE7VaCoYwwu7E5QSDLJUmD4VnbrHiYn1oY31gwzDKCQY/ihHGSWMFA+3DMUKuXikjlMpWSmlbyyCGazMFQ5KwMTDzotJzo+o3liHGVALM82FZsk0qcriCITX4jKJEWdDI36PzSaBCdWCb+Hvf8zXa7dBpOr8xwDc/nLXrTAY25sK2f/epO/h7//YxPHtnholr4Tu++gI+8sRt/Pff+QhXbciwjKxnnxsq2tX936KCgQp8OUWCp8fEMUZo1xmcrXqr73vTaN8iEcf6Nh3yxbh2uODjmUi/OkRplN7PYrFuygRDQiqYtgqGWKlgiJIELx0u8I8/+gwAYL8BoV5GulhCpGmOYIhieCEjY24eebm/+cL1I/zkbz2NRy5sIEjl9CrFCJA9xw9EBUPDFgmd6erItTpXMABpq4Hw3qTz0kRVo4phVSVUtIVewaAweWzwjiZCTPQw6hUM5WirYHgRwL9MGD4BIAZwJv35FeFzlwFcU20gSZKfSZLka5Mk+dqzZ8+qPtKjR48ePVbA4dznbuxdwm8pMay77aHbrYLB4waHFl+J6cLk8e4iQJIA20KLBE1sVlEwlPXv6hUMh3jdlS24tqk2eQyqTR5VaKJgiGKW9qCbVNsKealbox+b2lvIuFFWMLztobMwDeB9n2QCyvWhA9M0sDlySk0eqWCdtFAwUIFQx4MhVMiCRdA1cS2Tm4QGUYKZF5Zvl4ioGikS9B1VHgxEyBDBkCTAsRdWKhiGDuvBn3rq862a+KswcljSy/e/6d7ceJFjKj/65C08dWuKd33DK/DGV+zgvX/4As6uD/Cub7hPu21xxZvGqhijqEMoEAy8RUKOqexAwZApUornyDAMjF27dYtEGOuvH0WHvniQ+TBwk8faMZWGJqZSaJFI2P8PbNYG1GTFWmXyaJqMtHjPh54EALzm8mYzgqHEG8Uys1QQ8R4MopiPAZkkIfJn5oeVsa50LPuz7H6pb/KY7qOOYHCs9jGVJeo5sW0EEEweG7RI+CoFQ/q/XSgYAoWCwU79UQh0PzcxZV0q7vuuI69PG9oqGH4FwNsBfMQwjIcAuADuAPhVAL9oGMa7AVwE8CCAT3Sxoz169OjRoxmWYbzSSroObSSG9bcdCwqGbggMWr2n7VpCL/YqoMls5x4MJa0G3INBaCv4o+cP8PiNY3zfGy/jiRvHyiInIxiaKhjYNKHKLBFg46FslVuVfT6osZrphUx9Ypps3+Ui9ez6AF9//y5+83FmB0VtAaJJoQpUrI1bKRjYPpwhD4YKIkCXIgFk14QUDACbiM/8sFT5wKPwapgvUlrF0CmXp9P52khbJABGLkVxwhMBVDAMg7UxaBQMdI3L1BZsfx386o98Ex48v5b7+di14YUxwjQqLopZ28DffAdTZ13dm8Mwiq0L+X3MipgwTT4QTQh1oPtxGWSu/1oPhhXu+6xFQn2ex67VPn6w5PqJCgYCjZE6aTjUAiSOQ1pdz5k8pqaKRJL6UYyhWe955IVxgdQhRcqnXzjEWx88g7PrA3zoC7c0W9Dtd4kHg6BgcFNvFD8UCIYofy3o53MvRBglWiNTILsf8wqGZh4Mus2PXasyila77RJy2zbz5DWN1zrpLgTVeTkJBYMjvCMcy8zFgbaZvywU70+uYDiBOdZpQJ2Yyl8C8DEADxuG8aJhGH8BwM8CuD+NrnwvgHelaobPA3gfgMcAvB/ADydJ0m6U9+jRo0eP1gijmLcGdA1aJTgRgkGYSHa1fXn1XlzJXAU0OdzOtUiwSUdTCbAIWkUqa5EQ++h/4jeewJk1Fz/wdffmeodFeIJEvQlI+n7jaImf+73n8ML+XPvZMhk2kC+caJJZx1GemTxa3LhRdQzveM09/JpSUb01ckpXBWdcwdCcYHAlBUN5i0QMp+S8UG85eTDQ38y8qEIZoZfUE8SYSqBawXAkKRgANs6jkhXw7LucypjKKgUDADx6caNAREwGaUxjWmCTAoFw7+4YV3bGpdsVZe9hOlbpa8qeB6KCQbWSCYBf3zqmiNrvqTAGHLvtV6bDkntze+xg6Jg5giFTMJTfm5R4Y5v5FomiB0PMV/VpDDTxYfBClYKBtUi8sL/AvTsTbI9dHMz82kkS8hgSYUsxlTT+vDDmJI/8jCcie+ZHCOO4lJCjYyEPhvWhXYvEBcpJAICRX60VDLRtZQpL/r1J5pfNUiRi3pZEIL6hi5hKlQeDY6lbO5oQAwtFa1TXhtGnDZVv1SRJ/pzmV/+p5vN/H8DfX2WnevTo0aPHaqA+6zomXU3R1oW53rYTvjoYdbQyIK8+dEUwlCsYVvdgUMUC0jHQ5Pz3n76D339mD3/7ux7F2LXTyZTKg6GdgsG2TKwNbPzMbz8LANib+fhv/oOHlZ8tk2ED+ZV2mnwPnerVNjLo1Jk8AsB3vPoC/tavfA5xkrUFbI3d3AqhjEzBsHqLhOg0L0PVd5zbFm9fsDLE8MfHAAAgAElEQVQFQ8gUDGUya+7VUaIKoKL7/AZTWgwdq7TXm7dIjDOC4QOfv4EwTvCqeza0fwcwEkAbU8kVDOUkhQ5Z/F6IzZFT2j+vgxhrSL4BdaLmuAeDUFyOJVJKVDD80fP7+Kqz69xotC7ouao7rrFr51ZimyAuOV+GYeDS1igXVVk3pjKLpjVy26chmRVhrIA0BVNTpsKqd468IC48uyzDwO1jD4sgwpWdETeSPFqGfOyW7nukPydmzuSR+bQczAMEUcyfV0WCIVUw+GEpoQMUPRgubY1qezBEVR4Mq7RIcAPJ4u+YB0Mx7rGRyWNc9KOh/486mE/4CtLVlqKQuQdDA4WkWsHQnfLiNKKtB0OPHj169PgyhhfUN+lqClpVjZPu0hgAthrmRzGGdrcvbpr4kTTXMtSr/E1xULNF4tbxspFkNfNgKP4uPzkH3vObT+GezSF+4OvuTf9GfWxEOMlGaXXw0Pk1PHJhHY5llB5HXCGjF4tsmnyPKmITgbT/2jGxmbZryCaPAIuLfMsDZwAAG+mq/bn1AW5JRmwi5isoGGgfankwxHF5i4RdbJE4WjJ/j1KTR5LUlxQyb7h3Gx//G9+K+8+upftdrhi5uwhgGsCaa3P/jV/4+FWsD21826PntX8HMLWLziOAJv4Dq50BouxxUNXjroJhGDwtIuQeDOz/y1ZPqRBZBhHmPKYyfz2poJl6Ib7/H/8BfuET+YSBOqDiTkfCrK5g0I/Bi1sjvCR4MPD3RwlxBuRJLkfRIkGXKIqZ54JtZQqGJiqvpULBYJkGnt+bAQCubI/5vVg3OSmME61aRFS7+FGMgW3CNg34YdYmI9/z9GyceRFr5akwdgUYYevaJs6sDerHVMYVBMMKLRJlHgymrGAgD4YmBEMYF2OGqY2mg9e9n25f9AEqKhiat0hw5ZKrUjD0KRIq9ARDjx49epxCZCtQJ+fBAHTL3nNnd8vsTGUAiAkKaYuEZXRi8rivaJGwTAOmkScY/sxP/i7+SaoAqIPMg6H4ipZNHp+4eYw//arzfGXFNk2l8sNrqWAAgF/+y2/B+//rt2EysMuz36taJHImcCbfn7K+8iRJmIO8bWErPc86mf273nIfXn1xg5tunt8Y4vbU044jrmBoY/LomBg5Fv/bqhSJshaJgWDASL3DB6n5W50WibJzDrDzQKhSjNxdBNgYpSaZ6Qr84TzAn3ntxcqxMxnYOK5SMNjtFAx0jPkWh2ZTWMvMCihavTa5R4B6jCRJwpMnlkEkxFTmSSkqVF86WCCMk9qRgyJCThipj2tV6XvZ6bq0NcJLh0v+/zTugoriKfMBMXLkIhVfhmFw5QgZhQ7atEgE6hQJSnK4sjPm9/1+XSVAWYqEYPIYhMyYkNIvtCaPnGAIKxU2dCwHMx8T18Lm2Kk9Zmg86pUuHbRI6FIkIrFQT1tCGhAMYVxskaBx00Wh7odx4f1gm2ZObUn3WZMWCdnHiW23T5EoQ1uTxx49evTo8WUMLuM8kTaGbJtd9h/yHmTb1K7Et4FcXHdl8jhdhrBNo5DM4KSGYAA7VzePPNye6lfSZZR5MLiSB8PCj3ISf1vTItHWgwEAXw1yrfLV7yhOtKtqQL5wsnMtEvptivFgvEVCs+r4bY+ez62yn98YIIoT7M08nFsfFj5PcvM2MZWuZWJjZNcy9SRjQh2INHKtzIOB5NJRnGgLIV7cVRgnihg6Zun5vrsI+HkWZebf98bLldteH9q4cXep/B33YGiwryIsaTLfRsGg8mCgMakjHMXnhBfEfMwUUiTSfXkp9TFoExNIxK2unWbi2rh5pD6/VaijYLgz9bjfCT1fKlskhH0WSTRL+neYjmPTNDKStGQcyiCSUYR4OJe3R/ydV1fBQOkXKlimwY89iFjR6tos7pAIUflZSPfV3I9gmUZpO1CWIuFjc+RU+sWIKPNJAKpJ2zLQfaD1YBDuk7CFgsGPEoxdjYKhg6lKoEjssS0pRYKroBq0SKg8GKxycvIrHb2CoUePHj1OIer20LaBuM2qFa4m4A7QlpmabHWUIhHmJwey1LMt5n6EsWsVYhldy+TSYupJbyJZpePWRYU5lgEvjBDFScFdXc4qJyyDCIbRvsAD2KpbmYIhamDyyFskXLO0GKMiZGhb3O1+d83Vfl7EuXTlXtcmMVshpnJ3zcWFjWEtz40gLvdg4DGVQovEgbCaqTvnmeKnfqE9sK1cAokMkWCYuBYs08D9ZyZ4/ZWtym1PXFtbbPhhDNNoRoaIsCWvhKqxpoJpGkiSzJjQsgxepOpWM8V7aRlGWChWMoG8ggFAqxXkkzR5jOK4lJChqEoiiDhBWtEikUWlmnlSwcj/OyaiTFAwNCG/vTAqKBjoO86suZgMbN4isVeTYIhK7kuR4A4i1kpBxLHOg4ErGGrFVLLxM/VCTAYsgvdw7tdqOSQSwChJkWhDcAHVCgb6PbUzAg1NHsNiTGWXrQYqBYNrmfk5CyeO2qRI5OMvgZ5g0KFXMPTo0aPHKcTyJD0YhIlVV0aMgLjKaXSqYFj4tApObQTdEAwzL1Sufjt2NqE5WrJCsYkcOCyZ5AFUJMZKR3vbMrUxlUO7SIY0gWuZ8ErGE61Q6uDoPBhKJsNEDg0dCw9fWMdv/Ojb8OC5Ne3nRVBrwM2jJb760mbh96soGP7Gf/gqeGG2WlbqlRDFpZF1qphK0ZzSD2Nl/GLI5endKRgOBYLBMAx892sv4m0Pna01biYDPcHAVhbbk1uWRAS0UTCI7RBhzOLyqEito2BYBhEW6ZiRVUtUqHIFQwsioMpTY7RiTGUZIUPk3UuHC9x3ZsJJqGqTx2yfRfJIvDZEemYKBlJh1TsWsU1KBD1rLm8zI9M2HgyqNjTafyr2/fQ+JwXXQqMOpOOZe1Hq2VCmWsp+NxnY2Bq5iBNg6ofc+0SHKgXD2LVXGicAlM9x8Z0s3hdNFAxhXFQYiEagq8KPFC0SGg+GJnMAlcmjrKrqkUdPMPTo0aPHKQTPMT+RFAnhZd2hgiEoKBi6NXmkosA0jE4isUjBIENMcjhuoWAIoyqCwYQXRnzSM5aMp9QpEnGhKGoK17ZKZc1RUl7EiJN5S/RgCCIkSaIsYjODTvb5h86v195fSk64qVEwUH67vBpdB1tSNKmuEIviBEmil70D2bG5VkYwiI7yXqR22w/4inf9QnuYmmrGGjLozrGHB85M+P+/+/tfV3vb60MbMy9UXktPsbLYBHLaQ1ixIq/eBpEJjJyxhOQD3bMmp2AIWHE5copEHRWTq7RIVCkYJiUmmlWoal+6JBAMQPbeqFIZiD4g4r1vSv+O4wRxwto0SIlQV8HgRzGSpNjeRQU2JaWMXQuubdb2YAgrYirp2vtRjHXHxsA2EUSJNqZSVDCsD+1ayTEAU/6Q38ndeVBJMFR5MNAzVXePl6GMvBD9fcT7gpRgdUBqEBGiEeiq8BVEpm3mFQz0fmyy+KIyeZRVVT3y6FskevTo0eMUIlMwnITJ48l4MJAc10nj4zpLkQjzqw+21ZGCwdcoGCwTfnosbRQMcYkHA5ASDEHWCzyUWiRUx8Zy5Ns5+IvfW56WUL6qnDN5FDwYkkR/fjKDzub7fmZtAMOAtm997oUYu1bjSbgMR5LgihBJMx3o2AaOCdcmD4asRUJ3D1OR3USVcu/OGEkCPHtnVvhdkiS4fezhbErMNMXawEacqNsD/KjoHt8EXI4sxEy2VTDEScLHahXBUFAwBHpSEQBe5C0SzYkAUqTojmuU+pW0Se4JK9p0zm+ye+VaSjA0jqm0jNz2xQJVVDBYpgHXaubBoPOPofv2yjYjRwzDwO7Exf60JsEQ6QlRU/DpCdIUCfZcj7Qmj1lMZVQjpjIbQ2PXwtYoM1StAr0fdIQRjc+qdB4VqlIkRNKF0ChFIooL41A0Al0VlCIhwrEyc8okSVZLkRDeQ3SKegWDGj3B0KNHjx6nECerYBAzpbt7udKkxbbYalhX7RdLoY8f6M7kce6piw2x5/NowSZfTQzNKlskHAtLQaqbW1WxTGVB2o2CwSyVNUclufJs39QtEmz/1Nv1wrz6pAkcy8TuZKAlGGZ+hHGLiErV9+hJgOqkB+7BYDX0YCgpkHR4/b3MS+FTVw8KvzucB/CjGOcVhph1QK0VdxVmdcHKCoZ8n3ZVAadCtlKa8P77agVD1gKwDCLM/UhJdlF7wH4qz28jUa/y1KBnTRt1RB1PgLNrA+4hkZk8VngwCG06dk6hJCkYkgRRwv5Nq/d1SVfal4F03ukrSMEAsESfgwYpEjrSxRaShqi9h6dIaGIqyZ9j6oWV0bSFFolUEXW4qN533saguZz0TG0zBuOSd49tCiap6bhYS9uikprkQKAhGrtqifTDuEBEOZbJ72PxPm/yfXKbJcCIkS69ok4beoKhR48ePU4hTtbksd1Lunq7mdN8lx4MXGZPLRJmNzGVMz/ERFGgiivax6mCoclqUpnRFkAKhkjpbK1TMJA7/CqoUjBEib6nme1bsQAhckTnC7CKggFgbRJaBYPPDNZWhZgaIoMXYHVSJGx1i4SOYFDJjatw/5k1rA9tfPqFw8Lvbh6z83SupYKBiqR9RQ+8SrrcBDwSbgUPBk4mpAoG2zQzX4YKD4bJwMYy9T1RkYoy2dGqRaIipnKcqqXatEnUMcXcmbicHKLxTGSMfp8zUkTcfMGDIUoQp/tABaYf1TtHnGSUWyTS77hXIBh2Jq5y/On2Xfe8Mo2iyaNLLRJVCgYv5DGoOuQJBmbyCKjJORlV7wd6pqqURF+4foRbJUkk9BjTpUhk54R9cGvscLPhOgg1zywyAl0VKq8XIt2T9L7P9qVBikQQ8XmJCLPDecppQ08w9OjRo8cpxEmaPOYVDN1tX+xBZm0M3WzbSxMUaFIn53m3xdyP+KRfhGNnPflHy+YKhloEQxjzCWS+L1TtB7AM48IKYFNQa4YOrOjT/724MkuTQFq91xVksn9GU5zfGGo9GGZeNwoG1zIQlJAAQLlPgipFQoys0xEMUVyUG1fBNA287soWPnW1SDBQ2oYq0rMOyGRPJfOmqL+2kJUGUUXsogpEJiRxeu7MTNavK27ElVo/jDHzIqXhplzUtEl7qIqpHK+wMl3VvgTkUypEpVJ5BCs9q0wYRhbNmFMwpJ43YeoDwRUMTVskCgoGapEQFAyNCIY4F60pwi6YPJpwLIMpGKoIhiBSxiWKMAyD3w8T127UIsE8TqBtjSpThf3Ff/pJ/ORvPa3dNr1zVW1j4mo9jYntlFSs2ybhK1okaNtdKRjk5wxd4zBOckRwExUjI+iLz5sulZanDT3B0KNHjx6nEJmC4WQ9GLpk73lMpd2tgmEhJSiYRkcKBi9URhzapgk/Pe+rKBh0BdTAYVGD6hQJjQdDEBWko03h1vJg0H9HLsZOapHQFU2ZyWN7BcOt4xIFQ4uIShliaoiMqlVpQPBgsE2+uptTMGhWeoMWRTYAvP7KFh6/cVTwCbh1zAiG8y0VDNvpKqzKZI+KtLaQHdvrFMy6bURpH7ZlGnylVvesoecEKV0OF4GmRUJSMJxQTCXQjryoo/gYuzYfE6JnRtlzmCdfSMSC6A9AiQxxSkDSvVzX5FE2ehW3axrAPVsZIbbbhGAoURnIfgOubTCT2yjGUmPySPuZJKzgLnsWisczdm1slLQXyYiSRJsgwbanHyd3pl5prCRToam3bQnEPP2XlBd1oyp1LRKmebIKBoDts7iw0Cim0lcTi13OU04beoKhR48ePU4haAWqSdZ4XZyUB0NmiGdopf5tIPsPWB1te67p4Xctk69oH7dQMFTHVObj0mRna9WEZxnGHbRIWFyurAJJoHUQJ370OdonrYIhpBaJdtOVc+tD3Jn6SgJgplGgNEWpB0MNBUOWImHBUZg86uTHYaR3wS/D6+/dRpwAf/Li3dzPqZWkrYJhmysYVC0SSecKhuYmj+B/S/33tFKrIxzpXiIz18O5rzZ5FIrJc+uDViRAWBFTSWO1lYFkBfkHZAqGKGYEDJEqOnUOIJKhbJ/pPChjKtPilcZ73WQdncmjZRi4Z3OUe65sj10cLcNayr0yDwZRss89GFKlEj2r5Mhe8Rl2tAgr70169k0GFoaOhZFjKe+d4n7rDR6B7H0gP1O9MIIXxuVtbrH+vSOS11mLBLvn6T1XhTBSn3OdguG5OzN87Jm9WtsG1Gk19OwN4jinuGyikKT0GBldzlNOG3qCoUePHj1OIUQPhroGTHVBCQlANinuAnkPhg5TJCT/gS5WHZIkwcwP1cWG2CKxoBSJJgqGcjf5QRoXSaukYycrktlErXhNvCAq9DA3hWuZpaahYRyXrqzlio60KKBJm8480ltZwcCK5dvHxTaJuRdi7YQ9GBqnSChWjUtNHhu2SADAa68wo0fZh+H2sYf1ga1cqasDknkrPRjCCIOVPBjkmMoWBEP6+UTwYKDxWpUisZYW9wczX11oCNfhvt0Jj15tgqxF4iQUDNVkFBEMNN6IVCkr1ul3dH0sUjIIzwHyvImpRcJu2CJBJo/SM+A/+tor+JG3f1XuZzuT+q0GZaSLbQl+A6Fg8hhlrWl+mH+3ij4ydxdB5fmm80DneWvsYK+G+iJOEpRxRTpVGJEAZdczLlFHyL4UQKZaqqNgoPtO6cGg8UX6hx94An/tX3ymctsEX9GKRd8XhDEC4T5vomDQeRh1OU85begJhh49evQ4hRDlml0z7CfVIsEnq5YJyyzu9wcfu9lKeiyv3usmM422GbBs9rGiQM2bPLbxYGD/1cZUOia8MMKc/AlcSZ2hTJHowOTRKScY4pLVL0CKqWysYGjfIgGooypnXtidB4M0aX/3B5/EH35xPxfjp8PbHzmHH/vOR/BVZ9fgKEggrcmjZrJehZ2Ji/t2x4UkiVvHy9YGjwC7b9eHtsaDIeHqjDaQWyTqFMyFbQiGjvT38nZlkAKFzFyPlqGSgMkRDGeYJ4DOuFSHUFBwqUCFYzuCofzeBJhCYu6HfLwRqVK+4p1X6BDRIBbA5HlDCgbbMlkqR03SVZck8x1ffQF/7s335n5GKhpdm8QX78zwxr/7QTx7e1rqwSC20QWp+oYI1kXOnyIbNws/4i1XiyCqJP+yFgn2N6+9vIV/8yfXlQasIuK4qkXC5vsggt5FZarDsrYRMUWCKxhSUrGO8WhQ0gIktl+IePzGUeMYTLkFg65DGCeSgqFBi4Tm/dmnSOjREww9evTocQohyqq79mE4sZjKMJusyisDN+4u8Zd+/pP49c9eb7zdpeQ/YBmrmzySTFmXIkHn/2hJCoYmBEOVgoFtf6lKkbDM3CoNwVPEdzWFKxyXCmGF6SDFerH9zKdI6AgGUjCsYvIIQGn0OBMKglUgEkoAW6n7qQ8/jV//7PXCCq8K60MHP/SnHoApOOwDwMaQVpB1xW+7FgkAeM3lLXzupaPcz24dea3bIwg7E3VMoCqfvglovHAFQ4VLvwqmoFagv6dt6Pq/6ftEIlGlYBBbJF6xOwHQvJWhqjVqskKLRFShLgKYieTcj3hBv14x/gDR5JEIBrXJY5ywthTah6Fj1SZgshaJ6nt1p4Jg+MyLh9ib+XjixnFprK5rmymJnPAEFLrPxdYOUZnmhRF21zKCrsofhY6H3iH/4/d+Dc6tD/BD/+yT2uQbgBFkKhNGgo6IIj8gkTD6pU9cxbXDBf//OEm08ZeWaWYeDHHzFomghECzTKOQ5OKFEb64N2+UyKJ6ztC9GURx7jkdNCAGlpoWibZqyJ/68NP453/wfOO/ezmhJxh69OjR4xRClJx37cOQVzCcTIuEvDJAk+omqxmEZZA3aFIpGP7XDz6Jx64dyX+qBU3eVC0SO2OXS11p4uVHce0Vk2oPBivvwfDvK6ayQsEQpRLoMsiFSOZ4roup7KZFQmX0OPfD7jwYhLYhutZzL6rlwSBvi0CrsVqTxygpjb8sw8bILvTA31xRwQCwgkPdIrGayaPJzRjZOImT5u0h3G8hZveYbWUEgy6mkr5vTRgnSoIhJe/WBjbOpkVm06hKPlZ0MZUrtEiEccLbF3RgCoaI34uqFokkSXJFtdwCJJs90s9CbvLIfs5I0nrHIccMl4EIBhXJBQAvHrBiem/mM5NUzTnZGrmYeiE/F67FUh/8MM6p6MTn4cKPcGbN5f9f2SKRHg+RVzsTF//Xu74We1MfP/f7X9T+XVzxnOWkrUREHS3yLRJzP8SP/cvP4n2ffIF/pszbRHy3EOmUmTxWX0sa3yriReWL9NydGaI4gR/Wf3eqUiS4giFKcmRZk/SHRaA2ebStduaUv/aZa/jIE7cb/93LCT3B0KNHjx6nEGLB1nVUpS+8mLtUMNBk3knzplWOz3WNwUQs0xQJgjyZ8cII7/nNp/D+z9VXR5AkdKIoUC9tj3D72MMyiLiCAdBL3WXUiqkMIsx9ls0tFpm2Qq4PFI0u28C1LGbWplvtTcpNHoGsEKHe58oWiSCGadQv0GXsTlxYplFYEfTDGEGU8Oi/VeBI6RrzdLI988PMuK9mcU3O+EAWAaf1YIjLo/DKYJtF1cWtI48TMm2xM3ZOJKaSxlXeg6HZ9ugS0Gq6bZr1FQyCUklFKtL+ndsYCAVeQ4IhZmNdtzpN253XKOZkRBUGrEB2XJRkwFskhPH3+8/s4XV/54PcjFB+VnEFg+jBYLDnrZhQUEfBcGfq4ec/9kV+HusosHbSe0bnZfDiwRwA89IoizolLwfybuEeDFKLBN33SZJgGcbYmWQEXZXCZiCQUoRHLmxga+yWpkmUJT0AelUYKRjovUrXVfSnYdtWnxPLyvx95JjKOh4MYkpUYdsKguHJm1P+77pkVBAV28a4B0MU5+YUTZQHC79bBUMYJ3BXaBl7OaAnGHr06NHjFEK1ytQVgjDmL9tOPRioRcI2CyvxdAxN+5rpb8pSJGjCrmot0IFWbFTFxqWtEQDg2uEiJx2tS47IzuwymAdDrMzmVikY2OR3dQUDFYhlpoNl0l1AKEQsKjRSR3lNMeal+63LfK+CaRo4tz4otEhwg8wOFAyyBwORT3M/yvqOG8j5aUJMBmqlJo8tWyQcKz8xPlqG8MIY59ZXUzBsaxQM3ootEsoUiYaHbgoeDCF5MFTEVNLPRTPQocrYNT228+vD1kqDKkXKeCUPhuqWEmoXotX/NYWC4eo+k6zfmbLP0DPTkZQLcooEJXfQ82HgmJXPw3/3uRv42//68/jnH2dS8joqJlL9HGgIhhf2MwVDGMXac0LS/5up8omlSDAiUSw26d4MInZ8OQVDxXin45F9YEauqX0eAkCcVKRICOPk3332Om8rlE0eqeC/JRAMFCWqgmVk7xYq1Cles46ykMgJV9UiYRTfW0/dPOb/rkvWqRQMPEUiSnJtEU3Ul2wOUZ0i8cztKX7qw09Xbo+1t53uEvx0H12PHj16fIUip2AIuyMBADZBoUl02CF54Qs9mvLKAP27rjGYCFWKhCiJJrPEJscyL1EwXN5mBMOLBwscLwMu26Ve4lvHy8KK6a2jJX7on30Sx8ugdovE3C+aFKpcrYMoQZLUWwEsA3d/11yDuJaCIb/SWUfBsCoxcmZtgDvTPMFAJICKIGoK2YOBJsNzP8xkwQ2Ka5cTDPlxIyOI4tYtErZl5lbzblFE5YoKhq2xq4zaW1nBoPRgaLY9KspiwYPBlIgLGXSfive5SvVimQYMA7iwOcxc/Bu3SOhNBwF2zVzbxDwoL+YO5z5+9TPXcj+ro2AYpc8SmWAIFUQv/Tfi0ZrsWhDRIhKNpkAwEKFDz7AyUAIPeYXUUWA5lomtsYPrd9UeBi+QgmHup0ki6nNC996tlJh07HyKxOYoT/7Re4me9UCNFgmeIpEfTyPHKh07ZSQAAB4FugiYMu+nP/IMgMwPiBSIRH6KBENYYiApRknS9R/YJsauVYtgoHlI3RaJJ24IBEONe4n8MmQCg74vjCUFQ8MUiZGr2u/8+/bf/sl1/C8feKLSJyVomQD0ckJPMPTo0aPHKYRYBJ6EB8PwJBQMBQ8GcTJACoY2KRJ5goFJdrPfU69qEzPMUgVDSjA8c3uKIMpWtZZBhLvzAG/9Bx/GBz5/I/c3v/fMHXzg8zfx5M3jWi0SAItik/tCHcsoECVL7sJ+wgqGGqukPM4u/RwzTzO011U26GyDzZFTkByXeWg0BSMYsrEz4wRDxFfMmkwmSUKceTDoz3fbFgnHNHKreVRkrKpg2Jk4mAlGgQRVfFwTFFMkmqs3eDtEUvRg0KXKhAqCQRfjuTN2cd/uJNcikSQJPvnF/VqRlWyfys/RxLUqWyR+7TPX8Fd+6VM5JUmde5MUDNTiskYmj8L9Tve+uHIPFJULYpEqKhiyFolqBcPxMoRpZNus68Py8Pl1PH6j6KcTxQk3NNyf+aXnm7wFyLvFtZgBa5KwYpd+TyQJKQ5yJo9VKRLp81gmqasIhqiEBODbcC3MvBDP3pnxcXDEUyTSa5fu+x1JwaBToVlm5jcgJkKsDewTaZF46taUX/s6733aJ50HQxAleZPHhh4MQ8X4k+cpdN2q2iFZgsnpLsFP99H16NGjx1coTtqDgSsYTsDkkcVU5lcGfE4wNP++hZ9fBZcNJIksaHIsZSkSFzaGsEwDX7jOJrln06LNC2Psz314YVxYUb92yCayXhDXUDCkBMMiKJAGzMAy31OemaStaPLIFQzq81RHhi0SC4RhyYRajhhtg81xkWBYKBI42sKx8uaX83SyPfPCSuM+9fbYOdK1SPyD9z+ODz52M12BbTeNs0wzF2FLhdSqBANJy2UfhmBFk0dLSIAA6pkWyhBTJGis2hJxIYO+L2fyqIk2/dc/8o34wbfdz1VFcz/CZ1+6i+/7Rx/Dh5+4Vbl/QVTtqbE1drGvMTAk0DNSLPrq3JsjTYuESHD5krw+FApNIFPqiN9FinKvfPgAACAASURBVDFR2j+0rcro3uNlgO2xi//iLfdhZ+LWJtMevbiBx68fFwrWm0dLXlTucw8GjYIhJfeotcq1zVxhTK0B8ntpc+QU/Ch04DGV0jNo6FilLQFRklS2jI0dC0/dnMJP3zVJknAPBlmFcvvY4wRYmb+DLbRVhQJxujawG7VIqFQ6tqQqXAYRnt+b4eHz6wDYO7wKdC2KLRLqFIm68ZJJkmhNHk1JaUnXjZ7Zv/X4TWXLRNgrGHr06NGjx8sRJ+rBkGuR6FLBkPXzyiQAfY/XQsHgSV4FBQ+GdFLQpJVkxnv4Vc7SJi5sDPGF60ziSa7yXhjxSb88+b1+d5F+JubkgK54pIL77jworMDTZEqc9NBEfrhqTGUHBIPcqw2Q4dsJKxjmsoJB3+LSFK6d92CYCwqGMMom4nVB13B96MA2jRzBcP3uAj/9kWfw//zec0xS39bkka/qsW1TIbVqi4TOxX9VBUMmc2bjuk47jgz6eJwkvAdabJtQQalg0JBSl7fHGLkWvycXQcSJw8++WJ1QUyd68+LWMBcrqIKvUHvV6fkmYoT8C7IUCaFFIn1G0uq3HKmriqmk520kSPuZj0y1gmF9aONvvuNV+O2//i21fVhedc8GFkGEL+7Ncj+nBInzGwPsTf3S59W2pGAgDwaC3CIhJvrQ9a/2YDAxsM3C50au/nkIAElSbSA5dC18Pk1F8sIYMz8SPBhSk0eBLCJCsOyciO9NOm7XMjGpSTBwjyXFeTHNopdBnACvvbIJoF6LBBEo8jN9ICjvcsbRNdWXXhgjSdQKQHmeQmOa3pH/5jPX8U8ViSBBtBrh+nLA6T66Hj169PgKhSeYHZ0EwXASLRI0aXFMM3WsFj0Y2O+q+nZVKLRIpKv8hEXa09wkF5tWqVUKBoC1STyRmlSRgmEZxLz4lM/bdVIwhPUVDAdzv1DsyGZ4bJtdKRjyxmYy6kh3Vat7o5IVO68DBcPWyMHhIsjJ1Ml3Qyd3bwLZg4H8HWZeWDDBqwMqZMauxZ3rCR/6AlsJ/+OrB1gEUWWhod/n/Mr9rSMPE9fKrdS3AUnHRXl+kiRKd/cmsLgHA62c6w36tNsQ7g3qv89+pv6biMdUZuOkSvXCfUX8kJ8HlWRfRh1FysXNUSXBQGNRLMriGkXpmCsY8oVakFMwpAUUXwXPj29VioSVS5FI02Ps6hSJ42WAtaENwzAajctH79kAAK4gI7ywz/wXXnN5iyvIdPflyGH3npwiQSh4MATUhmbyfa0iwL7hgV2842vuKfx8aNdokahxLcWif3/qc0+LQFKfAMDt9HzESZkHgykoGMhbxsBkYNVqkShrF7Ol1Kin0gSJr7m0BaBeiwTda7uCDwaQT9UQVYp1YyqXgV7tJqddcQVDeo69KFbOWcr8P04LeoKhR48ePU4hlkGEdR4z1rHJYygoGDokGMjZ3TSNQm9j25jKKGbFjdg/ycyqiivOTdQYswqJ/eWtEZ98Zi0SEV85l3u+Xzpc8M/Iq4IyiChQtUhkku/s+JYdKRiqTB6juFr2yaXUQiE1KomsUyVlNMXW2EEUJ/yaAVlyyEl4MCgVDI1aJLL4OtfOkxcfeuwmDINd0+fuzNqbPJIigDvJL1dWLwCZOZ7YIkGT7VWUKLZEBNQhs2RQb3mcJLzFgm4xnVyanm+imWoVKSWmSOzPWOEmF7vq76pWpFzaHuHWsVfa461K3AnjakJmLLVIrCsIBr76nX5/KCsY0v1XmTyK5oRDx6w07J16IdYHTulnVHjw/Bps08Bj1/LnnBQMX3NpUyBx1WPSMAzsjF0eb+u2UDBUne/ves1FvPv7X1f4+citIBiSBFW1qfxeujPzCikS4nUlM8syFY2ZS5HInmtrAwfTGtGpgaB6UG5beCc+efMYtmng0YuMLKqjYCCCQYwKBbJzsQyyVB/XNmu3RNJ9pLrvdR4MPKkjTXuSEVYkxpwGnO6j69GjR4+vUHhhjPVhcYLYBfwo4S/bLlMkxFVOeWWAT5obpkiIK0sE0zAgzi14TGWTFAkvxNi1tIZYlCQBsBQDti+ZgkH+KnI998KY/04bUylIPuVJDycYhHOXnYOTNXmss7JGBYhIRAxLJtReENU2d9OBigEx3YCInrGzeouEk8bXZdvOVCpEajQzeWSfnQxsHo0HsILrY8/s4XtedwkAk0o3ib/M73NewXBn6uUi9tpC1SLBlUkr9BxnSgMqbJt7MBAhEScJ7783DKOQKiOCiodBGp0LVCsYxJjAvbToeX5/XrnKW6fouLg1QpIANzQpCUBGAoj3VK2YypRQOJQUDOL9npk75s0e6R61TbPwPdzkMcmnSNQxeaR3WBMMbAtfdW4Nj8kKhoM5zq0PcGEzI9LKVpG3xg43P9UqGKR2lIFj8fPWVrEzLCFcgdSIsdLkke0DGXfuTX0ce+y6hlKLBJC1gsSJftvMg4HaKtJC3TIrWzoI9KxRmTzaVr5Qv3F3ifMbQ2yk17+JgmFHp2DwIz5uR45Ve3FkoZhDEOS0K7puohkqa7GQkp1qkIkvd/QEQ48ePXqcQiyDOHMBP4EWiVFamOni3drAD+Oc1DafIkEKhmbHoiquLROSgqF5isQ8iEpXvy8JBIOoYKAiQ1QwzP2QmxAygqFCwSBM0GSDMEvhwcAVDB2aPC6DCH/p5z+JZ29P+e/LIs74/kkpEgBTVpTHVK7qwcAmnKLRI32fykOjKVyLeTDQJHIuFJIkS25SbNBnJwMLjmVyie1vP3kbfhTjnW+6gvvPTgA0i78UQX8XCivSqxI5QNYicSC0SARCMdIWNK5WSZHITB7p702+bd0jkseMmia/f6pUL2YaE7gMIl70JAlblS1DEMWVx3R5K43APZxrP8NX1QXFTh1Jts7kUXwu+lGxgALyLRLyM4CM8JIkUzYMHbOy3Y0RDM0VDAAzepRVIy8ezHFlZ5yT0JcRf9tjl5MtjmXUapFoomDQYeRYPJVChbjEiJFA74U33rcDANibejhasOeSzxUMQotESqRUeTDQa1P0lhnYZi1vJJ+rHorbF9URAGvZOLPm5siBKuxNNS0SAuFH9/PIsWorFssMgatSJPh/c+aS7F5oa9D7csHpProePXr0+AqFF0bCBPEECAaX/B26janMFAz5FIlAWimqi4Wif9IyzVxBQf34jVIkvDAnm5ZxeXvM/80JhiDm+yNObsgIDkiNqEi+qynWxUKwEFOpaJHgHgwdmTz6YYzn9+b44GM38dEnb/PfMwl0+XfQ/ompCmUrYLJ/RhtQMSAaPXYdUykmMoitGERqNCmGM4LBxkDwYPjQYzexNXbwxlds4+teuZN+tqXJo5k3eaTYxlUxsC1MXIv38QNCEbrC+DNNA4ZBk/O0xaHhBJ0+HkiFjmnqYyp5ZKxlcKKrjm/H2LXSFgmfK5gev1FOMLDY0WoFA5B/ZsiQn5VxWtDULUqpqCb1gPgskQsnLzXvJANG2zIgXxbRqJSeaWXGroSjZdBKwQAwH4abR14ureeF/QUub494QgTtmw7bk4zccGwzd222xjLBQCSuyX152vbYj1w94QowgqxawcCu5Zvv2wYA7M38YoqEQPCQUiMqGSdiayFtw7GYUWUdb6QgzP5GtW2xUN+b+thdG/DWxrotEqaRPe8J3BMlyGKDh079FolFiQJQnqcsZYKBvBiE8xMI5MxpRk8w9OjRo8cphBfEfPXH75AEAChFghQMXbZIxEKPvpQiEbfzYKCJ3yCXIiEpCLxi0V+FmV+hYEgLAds0eF/6Mox4JKYoyRZN25gHQwLDgLb9QjwWVUylfCzdKRisdB9jbmR4XZBqh0KPtQ40qRLl7aOSYsMLYmX+eBNQMXC4KBIMq24byApnLk33MwUDkRpNlAa00j9x7ZzJ4yefP8A3PnAGtmXizSnB0HYVTE4bWdWEUcTW2JUUDPre6yaw05Vwms83LeCouOXFLl91N7X3Pt2ntmnw8V+PYLBZi8TUx2sub2JtYFf6MARRXFl03LPF5P0vHeiNHmWCQTyGMthpGwCZA6paJOT+fS+Ic8SlbZoFYtQyDF5o0TONKTyK0nFCkiTMg2EFggHIvC/CKMaNoyWubOcVDGUkFUWuAqkHgyKmkswuOZHtWhjXNHnUgeT7dI7f94cv4P/9w6v4o+cPkCRJLQUDjdFHL25gbWDjzjTzYIgT8iYqEgxxlYIhYZ8RzT0HtlXqCULgLRKK54Cc7LQ3yysY6igX92Y+tsdu4b05sM3UtyZTMAwbKBjKTB5t08gl0JDawZOUPl5QnMv0LRI9evTo0eNlhThO4EdxZtLVInlBB3KEp2K1WwVDwvvP5d5GlXFZHahaJFhBUeyZ9xsoPeZ+WBpxSIXA+tDmRawXxJnJo3BsFFFJn6mSf+daJGrEVKp8KNqAKxiiiJMyLwnkSFRjVZkKYtE7YOToPRiYgmH1mEog3yIx90KMHL2HRhPQOafxo1IwNJlM0mcnqckjbfd4GWA39Ul4Uyp9brsKlhFRMf9vVxPe7YmT82Cg1btVYioBkmgnmaqgaYtE+nlS9HAFg6FXMIiJLlzBUIOoGzpZi8TuxMXDF9bx+PUKBUOU5JQ9KgxsC2fXB7h2uMDtYw/f9ZO/UyAuZA8GOl91xjr17JtGdpy5FokwvyLrR3mCwRKSOcSf0fObfkdGtbpn7syPkCRoTTA8khIMT6Sqket3l4jipKhgKG2RyFbCXbvc5JE/Y1MFD5C1qzWFuOJ+62iJv/7Lf4L/7pc/iz/707+PD3z+BqK4vsnj/WfWsLvm4sWDBcI44Z4GQRTzc787cXE79WAI47gkRSJtMUoSbhpqGEYaOVpDwcBVD8XtiwRDkiRcwUBjq46C4WDmF/wXAGbYSUlFtA/DBh4MS4E8Kuy3lTeMJo8oWekjR8YCfYtEjx49evR4mYEmDidh8kiTzYFtFlYdVoVfUDAUUySqstNl0OdzMZWGOqayiWHlzCtXMAxsC+c3BlgfOlxxsAyjzOQxp2BYwjDYJIt5MJSvUOVaJLQxlcVJT5cmj0SUXBcJhqS6z5srGEQPBtfCwlef+2UQrRyvyRUMYotEhYdGE7hWvt1gLigYjpbUItHOg8G1MgUDU82we/ry9hjf87qL+Pr7d1vts8P3OYud62rCuz12cy0S3SkYmBy5NcGQFk50D7q8HUv/HIuEdoqhY8E2jVpKD6ZgYDGVO2suHrmwji/cONKu2AP1kh4Apo566XCBX//sdXzupSN85Inbud/70qo6jxSssW0aX65tCmOkqGAQvRjE62pbaoKBxjDtAz2LdIQxyfnbejBsjx3YpsFNNm+kaRAXNodYH9iFWE31NrJilZk8Zp/Vpki4Fj+HbQ1Y+aq9H+EoVR388Lc8AAC4PfWZEWOVV8f2CGfWBri8PcLuxMUX78wAALtpu04QxXwF/+LWSFAwoNDiQjD5u4ViZzM1ih/FOdJchUz1oFEwpPfG0SJEGCfYnbicHKhr8qgiGABGxC+EFAmmEmnWIlHLg8HPEwtc6SMapZYQLacJPcHQo0ePHqcM9DI+CZNHcRXCMg3e09gFwiibrLKVgST3O6CNgiFdscitsuXNKUXX/7qY+yHvtdXh0tYIGyM7M0cUFAzi9187XODs2gBjx+IeDGVmieKK4VCXIiFsn+SZq3owiCaPdM6oRSJJnfmrJr60f2IxO9Q4yidJwkweV9zvkcMK9ZzJox91YvAIZBPmjGCIeJHVSsGQFncD2+ItEkEUww9jvjoKAP/bO1+Pb3/1hVb7zGMq42xC3FVPMCMYiikSXSgYojjh+9y4RSL9PI1ZiuWU+6hF5BUMVq32CIAVibenHvwoxu7Exavu2cDxMsS1kvSHuj4Yl7ZGuHa4wPs/dwMA8PgNScFAq6ZEZkblkYwiiHQb2Fa6Qp1/f1ChFIQJ//9BTh1WrmAwjawoBaA1ByQ5/1qJSqwMhmFge+Ly5JgDIWHAMLK2tTJCZytHMBhwrew4iwqG7Bm7Nljd5BFghS2ZAj98gSky5l7IWiQqPBj+s2+4Dx/9b78ZtmVid22A5/eZKSgV4GGUtUhc3Bri9hF5MOjJbfHdEkQxV9sQ4V2lABR9G2QwXyQ2pm6nvhnkXTJyrXomjzOPK7xkDFOVHM0jRm5zk0e1B4OcIpFXMHj8v6KCQU+0nCac7qPr0aNHj69A0EttbdC9B4M4SXBMg09eu8DMy1arCykSLT0YVJMDcTJD3ws0a/eYedUF6o9+20P4q9/2EAyDOZDnPBhyLRJL3LM1SqWmUbWCQWgZkFMk5HQA4GQUDOTBcPNoiTCKa/fFU2ErFlIj11ReVxrHqyoYDMPAxsjB3UU+prKLiEpAIBhCSpGIeOTj3UXApcR14VpmbiU5iGLekjJuWXDJsAsKhnhlhQFhe+zw9AT2HfrCogms1GSurYKBijJqSTq/MUi3A+3qa5QjGMxa7REAK9RfTH0SdiYDnE/JjP2pr/2bsKYPxqXtEV44mOPjz+0BQKH1Iov0Zf+t68FA+w2AGzfKEayZgoEKqSg3br7+/l28/ZFzuW0ygiF/zehZJK7sPn7jCG/5n34Tt46XnGBo2yIB5MchqZeIWKBCu+x87wgmj7IHw9rAZsqM9DwsA9bKZRgGv0fbjncVwUDPk5kf1SJyLdPgLXxn1lxe8NLxB1EsEAwjHHshFn5U2uZGPyf/BtuSyaJygkFMnihs28jutT2ZYChpoRNRpmAgFUQQkweDnlSUURbzrE2RkJQ+4jjnyTSnnGDo5k3Vo0ePHj2+bEAvxJNokfCFYkFm71fF8/szvO4Kc70mEiBJEhhGJrEN4wRhFNd+OVNxLa48Wma+RYFaJJqcpzoKhrc+eJb/m0V5ZSv/OQXD3QUePr+OO8cevDCGaRilxydOdOQVVZWCYXkCCgY6fXEC3Dz2+AS4quhTtUiIpmbipLxsYtcUW2Mn3yLhR7VXo6vgcG8KamUIcWZtgJtHHu4ugsYr7Q+cneD63XUArLARTTXXOlZdZB4M3aRIAMDm2MXxMuREWfcKhvoFswjieK6nCQxU9FuGkXseiMgpGGyrdlvNyLH4eNuduPx8i+0zMurEVALAxc0hL9i/+eGz+N2n7sALI76SnJmN5tNx6ngwELFF97prmZw4AxTxe2Gcu67f+4bL+N43XM5tU7zXxZhKIE8YP3Vzimt3l3jyxpTvc9sWCSDfqrOfKhnIf4EK0foKhqxlxDDY+RHbl5ZBxIkB7sHQUsFAqrSFH3HDzY2hk/oIhKVtDCrsTgbCv9kx+VHMFx7IkPj2sZeqI9TbEZNnRDKMCG+2Sq+/Xn5pi0RG+lNbC6kRBk55qgbA3qeHiwA7wrGKIBVEmN5jtrTIUIZFmQeDMAcKooz8LPNgINVn3yLRo0ePHj1eViC2nBMMHZo8ipn2jlU/6qkKyyDCiwcL3H9mAkAwlIqzFVb+2QbHk7VICARDmrlN/dC8RaKJB0NDif3QsdLWgnyLRJIkuH64xMWtEdw07ius9GAQIh4LCoa8eR/AZMgDIUquLWilUix4AebDUHdVOWuREDwYhBU7EXyiqVmVaoLNkZM3eaxIAWkC2YNh4Uc8mvR4GTZeyfyRtz+I9/7gNwBg5IUfZeOmLBq1CeT7ixW33UwJST4+TVehvY4UDLRamI21ZtujsUltCufWGcFgSk7wIiJOZpj4uvt3cqRhGcRiZGfi8ljfskKpTkwlAFxKI3Avb4/wZ99wGWGc4OlbU/572YMhakDIZC0SqRmrZSDvwZDk/uuFcSVxKcr5eUylXfRgoPfWzaOuFAxZmsnB3Idrmbz4J4KhrgeDa2cKhpFjcVUa92Dwszjd8aoxlaKCgd/3FiYDCzM/qpUiIUJc1d9ZK7ZIXN5mBMOt4yXCSL/tkUB8iKkzYrpQGeidpFJKiW2LpGAggmHkWNpWGsLB3EeS6N8VQ4fFxlIbkm0atRcUyFdB1aon+reI9zZX+kitEoCgYOhNHnv06NGjx8sJxJaPXbvQQ7sqeJa1zXptm0Q7luHq/hxJAtx/lhEM3OWeCIZc7GL9NglVggIVJlRTzBu2SGT98PUnv0zBEPGEAVoxPZwHWAQR7tkcMrOsMEJU4uQN5Cdo8qqKfN4ANrnpQgVAk2pPMKsEWMFWt4ghZYalIBiWUp/tndR4jIr1VbA1KioYuiIYZA8GUjAQVlEGDNJVUmqtmXSkYKDrEMRZwdjViho51ROhQ8+MVRU0tFrYpGCW/x5gLRK7E5cXjLapV2LRz00D+MG3PYC/+z1fXeu7xjLBkLbjyM8u0UshrBFTCbCeeQD4jldfwKt4HGPWJhFIBEMY1SP/gKwFx02LRplELqRISAoGFcRIWnp05Ve9kfv3za5aJCaZF8jhLMDW2OEkKycYSggdMUXCsfIEA4BcwstCVDCk92hbCTxvHwliTNP7fm1gY+RamHshoiThXhZ1IPoSUAEeRDG/Ly9KCgbdtul9N0/TGBy5RaLCgJnGpbJFQvBBuTP1YRjAzjgjGKoUDEQkbVe0SPghU8nZVv25yzJtA1JdTzGRSnx/iSkrQL59pOw8nCb0BEOPHj16fIkQxQne+TMfw4efuNXpdunlNnTMtIf2hDwYrPp9jFV49jZzuX6lRsEQrEgwDHIeDMhte04pEjXVGFRcNylQScGwkGIqr6X94Be3RoyEqKFgMAyDT+oKCgahT5awTBUMXSAreENO2ogKhqqJL5On5j0J6BhkA0/Z7GsVyAqGhR92pgYomDx6EdaHmbnnKitVtEpKvdjd7XNe6RLG8coKA4IcC0qT7FVbJGQFQ9OIUfr44TzgBo+0HV2LRBTHhfFaB+J9ubvmZqu/0rPr5z/2PH74F/8YcerMX2esPHx+HX/hm16J//wb78N9u2MMbBOPC1GVVDjRqm/cxIPBkRUMJnyhRUJemfWjGgSDcO7o+aBKkaAi7NaRh6m3WooEwDwUDuYBkiTB/jzfn19HwbAxdPiYYSaPZm7fqX2JjmNwEgqG9L6fDGxMXBtzP0Jc8X6QIT4/d4QWiSBOYBjAPZukYPBYRLKm8CXiZOqFCOOsTZGuf5UBsx/px6FtGnyc3pl62B67fPt1TB6r1G5EUtBzrszYVcbCj3K+RyJ0CgY/TYOi3+VMHmNqFekJhh49evTocQKYeiH+4Nl9fOrqYafbFXvXXcs8WQ+Gjrb93J08wcDjFpNMwk2ok7ktf1ZUMJgSeUGTl7oKBpKrTxoY7g1sZmQomzxSEbY9ZiuqXsDivqpWNzjBIHswKKLlmAFZR+0AacE7T9sA1gc2rgkEQ9V+q2LsdMXX7Q4VDJvjk2uRoMLcD1nbzTyIMHFtPj5WmUjSKikpX9q66sugaxBEbJ+DKOnMdEwmGLoyeTRTpUFbDwaR/LqwkY0pyyhrkWjXSz9Ki8yhwww7edEoxbHuTVlRN/PToq3Gd9mWib/1XY/i8vYYtmXi4QvrePxGiYKhgSnmSDB5BIotEjxFQliZrWyREL6XmzzyFoniqi+ZPBoGcqkpTbE9dhHFCY6WIQ7nPo+rBep5MJimgc2RA8cyuHoLyM7RwJY9GNjvr+yMYZsG7tkaqjdcgWysRJh77DyMXZZgMvej1goGKz0eIGuRcEwT22MHhsGK9LJt0/Ns7ocpGSYrGKpbJOhcyhDnEntTP0cUsASI8m3vCykhKlBMZZjut2MZtRcURH8NGaL6SSRY/FTlSMi3SFAKzukuwU/30fXo0aPHlzGoUJ17euOvNhBjCeUJ4qoQPRhsqzuTx2dvT1nBmq5YcQWD4HJPaKJgWPgRDCPfVmBL5MWcEwwnp2AgdYLswSAW5gPbghdGlQoGIFNkFBUMefIEYBOfoWYFpinoOGYeM7m8uDXKtUhU7bdjmYUe3JHGg+HO1INlGtgatV/FJGyNXEy9MOeT0JXJo2tnpI6XrlyNB5kh4CpSWDKSmwu92F2AmzwKqQxOyxVXGZtpIXe0TBUMHZk82mlqTZQ+CxqnSAifv7A5zP1c9xyLahb9Mug6kcEejXHZ5JEk/FMvLF09LsMjF9bxhetH3FPGF8Y4O4b6BAOtUosKhrwHg0rBUD4mVQQDrQgvVS0SRx6OlyHWBvZKvjHkoXA493EwD3KeClmKRPn2t8eZQSc9t3ItEgLBQCTuK89M8Lm/8+14JI2WbIqh4Ncx9RhZaRhGqmAIEcXVSjERNAbXBja/B6lFwrGYofD22MXe1CtVR9CYnnmsRYK2lXkw5J/fz92Z5Uhd2cRXhGUavGVRjpscOuoYYxFVCoaha2Hhx9w7wmqQgLUI9O+KMgVDjmDI+TPUI+Nf7ugJhh49evT4EoEK1VmF/K8peLyfbRUmiKtCXI20O/RgeO7OjKsXAMDiBZCqRaKJyWPETbkINDmL4gRxnAgmjzUVDBQZ2ECuTpOkueTBIE7+B+lqdRRX55xrFQwmTSBFD4buFQyLgCkA7tka4vrdRbZKWrHfP/Dmewt97FRsyDLY22k6RVMpvAqbI3atjhZMMj3zwxPxYODkk2PxnmWnkxYJ8mDo1uSRrWR2G5u2MZRbJLqRBJOsuQsFAxk8su3qFQx1yD4VqAilQpaKRrlQopXXmRfmjPOa4FX3bGBv5vOWokzBkCWEAHVNHvMpEvL7Q47f85uaPEoKBk9h8njreImjZcDHUVtspzGT+zMfBzM/15//+nu38ab7tnH/mbWKbWQEA4ubrfZgAFZLvslaxliLBJE+41TBkCQJmgwTUihsjGz+fvDTmEpKwNmZuNib+my8a57ha4KCIRQVDI5awfAD/+QP8H/81lP8/0XVgwyKoAWYgkFs6xg56hhjERT/WuXBwFo7WPxqUFPBsPDrKRjE95cfxvCiojoHyBZLumpJ+3LF6T66Hj169PgyBhWqZdFlbSAaG8o9tKsiIxhY1FNXCobn7szwwNmMYCikSETq1YAqLBXFtbhtWkGzGrhKk7N39LtvugAAIABJREFUE/nuwDYx8yM+0ZAVDJZhYOCwFomojoJB58FgqRUMnXkwpCoLNvG1cc/mCNcP6ysYHjy/ju95/aXcz/iEOpQVDH4n7RFAFjl3uAjghTHipEs/A5FgSJUGA5unjKykYLDZPUY96V0RDOI+dx2bVvBgIMLTWo3QoT7tJqaFIswSBYPeg6ElwSClFbjpqqms0qEYxeNlyCP0muL+s6xIvro3BwAeK0nPySapG1mKRGryaOc9fAK5RSKMmpk8cg8GhYIhoBQJpmBYxeARyBQM+zMfh4sgZ9p4aWuEf/FfvkVbkGbbcPi9YhjMh4G3kVhqBcOqGAotElM/5Pf82LUw88PGY9K2TGyNHKwPHK62CqMEvkBo7U5c7M98xHGiJXTpeTnzQvhCVDRvkZCI/ztTDy8dLvj/i6oHGYzky/4uTzBUmzzuzzxsDG1t0U7bIBWFLSgPqrAsMUnmhtHCXAJQKBiUKRK9gqFHjx49epwAqBih1cmuICoYxFWWLkCrnY5NLRKrb/vuPMDezM8rGHgaAk1ohYK5wq1axMKPC/FSlkAw0IrzxtBGKERXlkEsIuti6Fg4TOXQQGa8JhbmZBpWRypNBYCOPMnHep6MB8PYtXBxc4i9mc9Jl1WKMTlFgikYuiEYxKJ30aLFpQzcgyHKxtPEtbmCYVWTRyArRHUraU3B40zjrGDvakVt7FqwTaNAMDj2qgoGtlrITQsbEiLiyux5wYPBNPTFBlMwND8vWYsEK2ANw2BFjuTBQAqGqRciiNv5YNB3kbJL9mCImpg8SjGVrmXkYo65K76QJqGKHRSRM3nkffuqmEq2v34Y48WDxcoEA5E7V/fniOIk1yJRF/ftTnJjxbVNTYtEN0k9ABkoG9zkkZ4j44GNRerB0LR1ZHdtgHWhAA9SBQNdu901F3dmHqJErzIgJcXMjxAKf6tqkfBD1o5wZ5q988IShY5lsLmEF0Y4WoZ5D4YaJo/78wC7Je+KkWvx9z0ZDZP/TBWWfqRtMRSfo+L7q+DBoIiwPO0Khm6o8B49evTo0RhUjJysgiE/QVwVtC234SpAGZ69wzLcXynIVYspEjEMA0iSZi0SiyAstBHQJDdOEnjphH9zxBzHWRZ9+eSNy9UbKhiomACyVYx8i4TowVA++Rg4Jga2WSjoqZgNpZaS3Uk3k1/uwZCmMFDE2UsHC34cTVHmwfDIhfUV95iBfAHuzgPMN7olGGiiHeTSHiw+7lYyeUy3fTj3MXKsVudXhWycxJnpWEcKBsNgZnJHksljVSFaBdbvHAvRkU0VDNm/zwspEmXPsahE1l2GsaRgAMisTnCTj2JOwkxTBUObsSLHBPoywZCSjXVajWiV2hVaJKhQIjNQQPBgCGOtwz4h58FgyLJ6tYz82dtTvOWB3cr9LQOpliihqA3B8Ne+/eHcfuUUDLaJaXq/MwVDdwUjjRWxRWLiWph5EdYGdmUrmowfePO9WBvYQgtdnBtvu5MB9md7sE1TO05YqyHzjAoFElxl8khzGvGdF5TEsJIHw15KSOxKCgYvjEvVFfszT2vwCGRE/PEyTGMqs6jqqltuEUQ4s6betrhYQfebbRpMwSAaLedaJL4yPBh6gqFHjx49vkR4OXkwfOixm5j5IS8SmMywm21TgsT9Z1UKhoT/d21g43gZNjJ5ZCvt+VedLWybIio3BHftqoUomjw1MQmkmEoCVzAIq4sDx+TxVlVzj4FtKr/fUrRIMA+Gbia/XMHgZR4MAPB8Ks9us1qviqxLkoRJZbtqkUiv7+HC56aqo65aJASTR1EdQQTUKt4GXMEwC3ih0QUcYeWNJ8N06Gq+IcSC+iEjB1clR6zU84UbozbcXzOnYJBiKjv2YKAxvSMUJiM330tOqhSAGWLGSbv7J1tBlhQMkrdMGwWDY5n8/SQWTEEUI0kSeGGMQZWCQWXyqIg2FJ+PXhivFFEJMFWaZRqcwCZPhiYYOlZOmfBND57BG1+xDSDfIiF7MKwK8gyYehEupc/YkWunUYvNx+Sf/6ZXAgCevsXSRoIonxyzM3FxOA+wPtSTF2Q0OfUi+GFm2KjyYKAxs5f6ggBs/JSZPAIsKhNArqAXW+h0bW17Ux+Xt8fa46dtHC0CrKXjgp2HGJZZft3KTB5FxSARDBsjB16pyeNXRopETzD06NGjx5cIsxNKkaBJLEuR6KZF4v/+3edw63iJv/KtDwJIPRg6Sqh47s4MlmngijBBoJevqGBY5wRD/e+cK9ICqNAQDR5JQu9HMUYon3CIMvi6kD0QZA8GMzV55C0SFZOPoWMpJ7SUBCAaWLEoue5aJI6XIWZpb/CrLmxg5Fj4xU9cBYBG5mOEoULBcHcRIIgSnO26RWIe5IwYu4AoO55xgsHmLTSr9NoSobc/9zvzXwAy0iOMshaJLlfURIKBpNirJAIA2cpgWw8GKpwcy8COsJpN8mwVoli/6loGKoREqffYsXNqtQOhZeowJRvafJesYCCVAa36NkmRUCkYMt+FjIQhCbz4WR3E8U8r0IaRPu/EmMq0SKfnwKotEoZhYHvsrKRgkPGed76e/5vI1iRJOvVgABh5vfAjzAUPBiIsZ17YWL1DEJ9VYsFPBf3xMiwdJ8xoMswp/TjBJVzLRTrOD+YB8xaxTEbea95rnGA4WgLIKxhETwodwbA/8/Hay1va/R6lJqvHyzBNBikS8TI+/Pgt/PHVA9w6WuI1lzdL9zuKEz4v2Rw57PxqPBh4m+kpVzCcbvqkR48ePf5/9t48ypLsru/83tjemntl7V29Vi/qRVJ3o31FaDWLkRAjtjEHjEDACIYZsLFnBs54GHwAj2fGBhvMYJhjQIcDDGKRwGBZC41AQKOlJXW3qpveqmvP/W2xzh8Rvxs34kW8F8t9Wfmy7uecPl2VmXUzXrx4Eff+7vf7/R1gBtwiIU/BQLtKlh5KHS1JCoadoYML28PYTx2FlomTzqo8e62PU8utxESVKxi8uMDQjSacZdtUpq0MCVmjHe86hL9v+rmi96uMgqGRmnzSaYt3Y8M+61RgmLYYaBp6psRffG2ETPluw9AwcDwMHR9tS8dKx8L3vvE2nLu8F/3+8r9HTE0nrtBOliQFwxJXMAgFBkmKgGQGA+VzxAqGOl5b+kxs9W1poZRAvOhzfH8mqeaiRWLk5oe7lYHCGL2KEmNa3B5daCak1pPa7XpBNeXFmdU2bl5r4wFh0dO0dN7ZAUjKx7eic1WlGMV3kKOAWM8P+L1h5PoVMxjIBhAXkcUFk+3FEvBpxcvEuRb+nFZ1jVwfN622+N/rKhiAsKhwYXvI/ywTul/bXhgaK6vtLRCHElKYLhBn/uwOXVStWRpCgSEs/IUDrXaSmSR5dBsGenYYlkhF8CyLhJgrRUqdsGtFvkUCCPMygGRGSqxgyH4290Yuru6NuJoui5ZJ586BoTP+nJrUOeonfv+L+DcfO4ee7eHek5MLDK4f8OfXYsucEvKoMhgUCoVCgXByv9g0pbTLEyEFQ09SBsP/8FufQxAEWGqbscTVYKV2/PPYjhZmNCm2InWEjAyGrYEzluY93kUi4BPOMiGPfdtF20pKJ8VJAXnmqSVaka4YA9uDxsZVCZNopoon5IsW/eQNIwyiGrne1Mn197/5dt77WySeQKYLDLIUDDrfbSUFx/vfcBt+8zPP4dLOqJKCwdRZmLBvjxcYZCkYDF1Dt2GEIY8O5STImQJZwqRdVLfQ+HW7SADhJP3m1XwJcFmy2lTK3FFbapl47lq4cyyGydWBshKoIFJawRD9vLh4AcLPXl6bSs+v1tlhtWPhEz/65sTXWqaWCILbFAsMkZqhip0mDkz0eDFgsWmib3tcUg8UO19kw6HrTrTBiYVqx/X5jnUpBQMTCwxJy8jI9bDcsrDYNLAjoYsEkCwqTOsYURZqK0zPV5kKhrCtsY+9kcvbQ5LiqqptB4g/46FFIlYwrAmWhEn3q3ZDR2/kJgIb6TloJywS8ZzmWm+E9YVGGGKaU4Cma+Txi7tReHBcaGpasYIhi889vwU/AF520yQFQxxQSSGaACaGVPdGLr7tlWfwU994f+7PpDcrNAZ0G+F7NxI7XwlzFucGyWA43OUThUKhqMl238Grf/pj+MhjF6SPzRUMkrpInLuyh48+dhG7Q5fvmMvKYKDdSNphiBUMcsZeTE0m9dQEwBF25UqFPGZYJGhS4AeB4JsMf3+R19OP+mKXkXyLCoZuwxizSBg64xO1vu1NnUA+cHoZb77r6NjX48JMcvdEpoKBFkNt3p/dwI++/W4AQLdRfteRMYamkVxsXIm8u7LaVALActvERs+OFQzSukhEk3Yh5LFl6XyxVquLhBDyWKZryTRihZAvePQlZjBEi0QgXHjIUjC4ntBFomybyujHxfwFGjevTaXrVesikUW63d5G9DliLMzYAKoVeZqCB54XGKL72cDx4JWwlFAuiZjBkA52pIU1KRimvbdiUUE8hoahpwoMYWDk0ej9kVJgiHIXdI2NPWPq0jB02K6fCFWWRdMMAyRJKQYgkcFSdbPDFEIeHTfZppKPPeG51rYM9EZuVJyI7S6k5iDEOc1GFNzoTOg4Qr/zyxd2cPbYQuL1ZSncRB59bhMA8PIzK7nHLdoJqaANTN5QoOf8JMQ8J8rhoGwO+rxoLDln4QqGQ57BcLhfnUKhUNTkycu7GDgeLkYyS5mQjDDd0qgqthsGDX36qWuJCWLdsX0/wG60cIoLDAymLqeLxO7Q4QoCYlzB4KNhaGO+3Wn0HW9sIUlebLFNJUnoi1g+ws4U5SarotphoWnwnt/cH82SBYaqvv2xcEwvTN2XmcFAY4sZFO958BT+4Adfh4dvzp/kTaJlJRdfshUMAHByuYXzmwM++ZUVyqZrDIwlFQxtS+cKhlpdJIxYkdKVGPLIWPj5dYSQR5k7aktRBkPYeSA/3K0MOikYvIpdJBgpGJpjX8+rK4Z5KHLOS/oaJwXDicUmz2OoUuShRdtIyEUgBdTALqdgWGmb6Fg6TkTdYSyD8euD/t9tGIkQu2lKLvG6Ei+DpplclIZZMRpXmMgoMFBngZW2WTsDJA1lMNBGQVPSPRYI700UkMgVDML9tmwXCcI0hAKD7/O/i5kHkz6q3YaBPlkkdLFYpCV26UUFw9XoOncn5JnQ179yaQ93Hu0mvpfXZYj422c3cfZolz/DsxDv9YamJQotWQTR5sO0IjQVHz0vtEi0LJ1fF/T5CD8vYvcYpWBQKBSKG56nIm+5jKDENCTVBvLlf2Wwo4fY+a0B302RkcGwZ7ugDb6kgkErZCmYxs7Q5TtuRHqhTJ7PpqmX7iKRp2DwBIvEUskMhrK736KCYaFp8h1TMYDNiiaofXty0NYkaCFHkxjyrcpUMBDiOWCM4f7TS5V31mhnjLi6Z8PStbHrog43rbTx/GY/zkmQpGAIF+talMHgcfsQVzDUyWDQxfMtdwfW0LREm0oZNgZiqWWGny/bg+3JUTAYmgbX9ytnMFi6hlvW2mNSakOwLKVxJ7TGK0vLNBL3+Y2eg27DwGrX4oGYVRYdRtQyeOSKFok4r6ZM1422ZeAv/ulb8LX3nwCQVMDR/zsNA47n8+JAGQVD0iKRVjB4aBg6ji2EBaAqaqg01KpyWXL+AhB1kfB8XI0KAWs5rQyr0LJ0XI12/nkGg3C/qnpJpi0SlMGw3DL5mJOKF21r3CIBIGqxLLapFBUM4fmxU/9GhK4L2/Nx57Fka2IKaMyaI/l+gL97fgsPTlAviGMAiDIYJoc8kuJg2kZCuotE09RhGXpi02ixZWIkKBicGWTeHESmvjrG2K8wxi4zxh7L+N7/yBgLGGNHor8zxtj/zRg7xxj7PGPswVkctEKhUOwXT12JCgwSFAZpxCAkGTkM4u477Vibev0gRrJHAMD5zUE0rgZTy09fL8Pu0BnLHEh3kXC9sO926Nst9js9P4Dt+mib2cWLRMhjs7iCoVKBIaVgcNMWCU0rZZHIg/4ZjR/Ld+UpGAiZXQ2W22aibd+V3RGOdC2pu45nVtu4tDPigXoyj58KeWHmR2wdAeLOHpXGFc+3xBA5AFEXmEDoyy63TSUQZreMHHkKBj8Q+siXtUhoDB//0TfjH7781Ni4eQsNuQoGLalg6NtY6ZjoWAZXMFRVu4TKruSiBogKDEG5rhtL7ThvSOwiQWN3GkZih3ZaYSqrTSUQ7vin21Q2DA3rMhUM7VjBIBvLCDOIzm+Fz8TjS/khg2Vpmjr2ooJrJ0PBIMsiQc9ZTWNc7TFp7I5loGe7Yy0n6fojxGIxZQW5E5RM4mfs7LGkgkHMGEnz9NUetvoObx2aRzNhkdB4IS/veV+0CJ3sIhEVGMgiERXkFppmKuSx2v1r3ihyx/9VAO9If5ExdhOAtwJ4TvjyOwGcjf57P4B/V/8QFQqF4vrx1JU4qEw2YpW/L6HAIBZBKFlcRgbDtlBgoIAp+m9SCnMRQg+rP57BkFYw+OHkpGnqhUMe8yYJ4th9x4OpMy6hpHP1wmYfQY4vOyvXYRo0wWEsXCj6qQKDpiX7iVctMJD0nXalaWIjS77b0LMVDHVZbls82wEAru6NpOYvAOAJ9V+5tAdWMqRzGmbUsrU38rh1pMMtEvW7SAByCyJAeFyuH/v2ZVskgLA4+fxmHyclLL6MqKAZq37kvH9aVLjIwvWrfxbTtEw9pWCwsdq2sNA0eHGtag5GI7oviiGPQJTBUDEUE4ieH4KKDAhD7Pwgfn6lO+SkyQt5bJha4l5OGQykYJBRYFiOCguyO0gA8Wfz+UjVd3xRXoGhlcjsGc9gqGqR0KLnNnWRMIX7y1rUSWLSwrfTMNAfeYk2lUD4Xoo2ANF6SEoMMbch67iIcQVDvkWC8hcevDk/4BEYz2BIb2CkKdopKpHBEGU28O4iLhUYjERxhJ7Nsu4rB5Wpd7IgCD4JYCPjW/8awI8BEN+dbwDw/wYhfwlgmTF2QsqRKhQKxXXg6RkqGMSiQk9C0KPj+bjnxCKAeEFpGvULDDuDZPGDJgmGXt8isTsMJ9bjCoZkWGEoyWRoGnpip2QSeZOERMhjNCmgiZbr+7i4PcQbfua/4hNPXskZ162sYOhYBnQt7r4Rt5DTEjkJdXY3xB1Zmtg0ZFkkhImazAXvSqaCQW6B4UzUheHxiztolwzpnAYV8gaOoGDgFglJCgbJBQbqysC7SEgMHaMCw2bPxjNX+7gj5auugq4xeKLiQtIEnQoXWUhVMEQhj1S4DBUMFrqRIoCOpQrNaAc5zmCIQh5tr9aOqRUVzqj9MRBfh3sjJ/qZ4haJpG8/eS8fOaFF4qtuWcWdx7q4SULXlDiDYTYWCSC0DTYMbWIGQFnEBTEVKsXnWJ3FaViADiIVQjxOIQVDQ8ee7Uafi3yLRM92YUV5Ghu90CLhTLBI0LW50DBwIlWMnBTy+HfPbWKpZeK2I5PvL6L6w0goGLI/91TMmJbTk1Qw+FHII4PterGaqGkkzo0TFWdkZ4IcNCo9TRhjXw/gfBAEn0t96xSA54W/vxB9TaFQKOaOkevxzIHZFBg8PkmRYZGwXR+vuGUF3YbBF5Qk16vDTlQEoB1gmiQYGiuUWTB57KhNZF4GgydkMOhaaJEorGDI7hYghjz2Ri7alsFl7I4X4FpvBD+Igwazxm2Z5RZ7pGBoWzp0Ld45ERUM4mKyzu6sIWRj8AKDrJDHGSkYVtoWl4kDYRcJ+QqGcMHyzLV+6ZDOaYRhqgF6I0+wSMSdXKoyq/MNhJ9fxwviVPOcHvVVoMXWYy9uw/Z83C6pwOD6AVf/yNoBDNtUZn+vTkvANNRujxYbpGDoNpOLnyo0TD3VRYJa+vqJnJeymLqGIECiEBUXGAq2qRRDHtNtKoV7uR0F+d5/egn/+b9/41jwbxUoe0F2i0ogft3PbfRxfKkpdcEoFhPofHckWCSAsJBoRwoG8f5CGRKTMxgMnsdkjoU8JrtIdCwda50GrgkKhrxiK12bdxzrjp1HHvKYkcHw6LNbePmZ5annQ1SrmRrjx56nYBjkzB3SGMI4A8dDw9RgGWHnlaRFIqlgkNmx56BS+hUyxtoA/jmA/yXr2xlfy3z3GGPvZ4z9DWPsb65cyd4lUigUiuvJs9f6XDpr17QCZNG3XRyJHuoyWlWOPB8ty8A/e9c9+JZXnAEgN4Phrki6SJMSQ2fyFAypQC8jNQFwvACmxkIpcMGQx2kWCS+ySLQtnU/sXS/eqcsL9hwWSJdOQxOcsMDAxkIexQyG8BhLDZ/AECwScY92WQoGMRNApoLBwu4wbH/m+QE2erZ0BcN6t8F90x2JHRkARJNKymBILgjq7IAnMxgkKxj0MOTREa5BWdDi8G+fDSXM0hQMflCqK0KxcfMXGr5EBUPbpBDX8P612SMFQ3zvq6p2oRR/O2WRGNqeoJKqFiAJhPdfLvmOFrx0755mNUqEPKbaVJKCgRQSMm1LQLKLhGx4geFaf6wzSV2aGUoxcTe9ziVJqsa0ooBaVU76XImdbMYzGJKZUm0rDDDd6MUFhjy1C/3Ou1L2CEC0SIw/j89vDXDrkU7u8RKaxvgz0IgCqgHkKpeKWiTicaIuEpFFwhZCUKnrCuFEeVKHnSqf5NsB3Argc4yxZwCcBvAoY+w4QsXCTcLPngbwYtYgQRD8UhAEDwdB8PD6+nqFw1AoFIrZQh0kgNkpGGiXtq6CgdrBWTrDt77yDN5+73EAcjIYSGVA3sikgqFu8YIUDNkWCbHdokEZDAUtEgM+SZgc8thu6EK6ts8nvXnveZWQx1jBYEQ7ptHrIgVDKhOgnoIhLvzQzom0kEdxR13iIp361W/1HWz2bXh+IF3BoGkMN62EKhxZLSoJU2fYGjiJa4P+X6uLxCwtElGbSq5gmEEGw6PPbQEAbl+vX2Cg67pOpkAWk7rhhAoGOYte0Us+dDz0bA+rHSu5aKuawRDtIDuC75t+Vz0FQ5zuL3aRAIC96LkwtU2l8JrSCga6PzlegCCYnudQlpPLTbzxznW8+vY1qeMC8eu+sDOUmr8ApCwS0fWhaXFWUNUMBiC2SKTbx1KrykntX9NWA8LKUjA0dBzpWLzLhjthYU2v52xGgYHOczqDwfcD7I3cMXtlHnTuDJ1xxWLe/IU6fE3r3CO20+ZtKnWd/93SNbSspBXI9eWE3h50Sr/CIAi+EATB0SAIbgmC4BaERYUHgyC4COD3Afy3UTeJVwHYDoLggtxDVigUiv3h6athwOOxxcZM2lT2bY/v0vYz5H9lcP1wgpaWq1qGlpAVV4FCHindmaTUhq7l7vwVJc5gSBcBkiFMoW8x3OUvrmDIljnSLpoXBOGOs2nwB37Yfi38d3kFhiohjzyDoaGH3vdoV9GPJNiMscR7V2fXNGw/GBUYnGK96otCx6hrTGpbQ5Iyb/VtPiGVXWAAYpuEbLvBG86u45NPXsETF3fRJklzg0Ieq7+XDT0+TpkFHSBczLqeGPIo7/1caBpgLLQZrS80pPjTdU2D78vPYNC1MI8lC5kZDE1B6r0V5Y2stMMMBqK6giFUdpFajQq2AyfOYKhSYKDPuyO03aPrmjoFTG1TKXw70UVCKBbTPVe2gqFh6Pi173oFHjg9OQSwCnT/CwK5HSSA5M65eH2IxYaqGIJFQrRFkdpj0jXYSSgYUmqUVAZD2zKw1m1gZ+jyrgq5GQzR1+88Nl6IZCxUH4xSz/29aFNmoWDhlQoMlq6NhUinyZs7pInHCdtUkoIBAPZGYQ5FwwitQJS94nry7ikHmSJtKn8TwKcB3MUYe4Ex9t0TfvwjAJ4GcA7AfwDw/VKOUqFQKK4DT13ew4mlJpZbFt8ZkknfdmMFw6iegoG3DEtN0PjCuUY7yZ2Bg4WGgdMr7cSYhsZqjQvE+Q7TFAyUQN00kxOZSXCZY2pXjO86eEGYp2DpfFLl+rFFIuv3BEFsqygDTZxblgFNUH64fsB3b8SchDq7s7qgYJDdppKOsW3JDUkkCfNm3+HZF7ItEgBw0woVGOSqAX78Xffgnfcdh+sHvJ1kw9DwNfccw4NTWqhNQlwAyLdI0E4mhTzKez81jfGJ/x0S1AtAbMmqsyOfhc7y21S6fgBdkrJDDKsj2fhqx0RX2IGt3KbS1BIZDFSwHdZWMAgFBqGLBBAr26blu4gKhqRFIi4W071WdoFhlojPWtkWCbpWNJZ8flHhoY6CgTICQtth/BrIrjlJwSCqqBIWiVQXiYEdKhioaLHZt+F6QW5R+tW3r+FH3nonXnlrttKEAlJFSEFTtNsIZaAYmhZbIqd1kSjYIYXUkE2xwDCMCwxBELfEnFRoOUxMfVeCIPiWKd+/RfhzAOAH6h+WQqFQXH+eurKH29e72B440hUMlDosS8HgcJlzSsEgeGirKqx3hg4WWyaXgfIMBi18cPp+UHlHZTdnkhDbGEJPfhCEv69ZQsEQyxxTCgYKeQzCkMdTyy0+CQ69qeHPZSkY7CgjoOwClRb4HUuHzhjfMfWENnhJi0Q9CSzJyIeyLRJCNwyZUMr7Zt/m2RmzUDBQJ4myCpRp6BrD//m+l2H597+Er7nnKIBw5+2X/9HDtcadachj1ILQzbl31GWxZWJn6OL2o9M90kXQWDKDQVZmhKaxXIWXJxQA6yJaJOjeEl73cfeUym0qDR3X9mz+nGpEC5tB1Jmh6ti8wOAGYwqGvYIKBvGySlokdLjR9RcXGORe47NEfN2yLRKUF9CxjEQhl+67tUIedYZRVHgSP/OrUZvKSc+ehEUiVSwSbQA928NKx+JFi6t7o4khj92GgQ++5Wzu7023eAXi669bsMAgWiT4BsaEnCVg+nNCEzZCho6fLDCMXFh63B1q5HqholRlMCgUCsWNzdNXe7htvQNTZ9IzGKgav9gyYBla7QyGfAVDlC1Q4/h3Bi4WWybfpeEKBhq7pjqCMaCbWrCKCoZYws0PfWUgAAAgAElEQVQiWW1Zi0R28cL3A+wOXSw2zUQhZlLI46DgzkaaOOTRSLSR9Pz4eMQAxbptKim4byQ75JFeh2S5PvWr3+rbgoJBfvI7dULpSF6sA+Hi6KfffT/ecs8xaWMausYD3bqSMxjMqAsMX7BLnvSSLUKagiFqJylbwSBmlqRxfV9eyKMVhzzGCgYrUVyt+ppoB5mUURbl1dgeL2bWyWBw/Fgd0S1pkRAzLJIWifDrI9fn8ndZ7XT3A7H4d3xJbjGUF6RTn3m6hiapDKZhaBqff4gKKSroTio0ihYJ8X1PWyT6touOpfOixVNXenD9AJZe7b7btMYVDHktrvOIu/qwhGIxi6IWCVKA9EdhwGrL1NHQkwoG8ToPf6e8e8pBZn4+yQqFQrGPeNHic7Vj8VRgmdAubcsy0LH02l0k7JxdSFPw0FZlZ+hgsRkWQo50G3zSKcoDq4/totswxnZkxCBGmgRY1KaydMhjtkXC9QNsDxwstc14wiHspmUVlYqmS6dJtqnMUTAIk686iydD0+B5M2pTOWMFw0YvtEg0TU36ghqIMxhkt6mcJdaMijpkOci7d9SFFxiOjge3VSH83KBWpkAWmpCJksbzJLapFDIYqCXrasfKlZ2XgYc8CnkaJCun81VlUWOJFgk3WWDYLRjyKKoW9MSud2wZURaJJC1eYEh+5qlYXuejahoaf46JRZJb1tr4ufe+FG+7N79A2kkoGFJdJASLRG/koWUZvPXl//oHX4SpM7z9vmrF11bGxgJdf0WfE/T5MzSNH3teyCOdn+aU5+YdR7tomTr+7MuXwuO0NH5d7PIMhvg6BzDWveOwcvhfoUKhUFSAquVtS4dl6NIVDFRQ6Fg62pYhTcGQnqDRg6xOgWRn4PCMhJPLzUTQHxB7CyuNPXQy+52LEwBSX3AFgxCYNIlpIY8DO5zYLrVMQY0R8N20rAyGojsbacSdfzEjwQviwCdx965WgUFnvP3W0J2RgkGyAiD8nGlRyGPYolJmxgMxq5DHWUKLANlFHTNqU1lnAToJKjDIskjQ8dle+BmUdbh61NXlE09ewTf82z9P5OG4vjw5s5jBcHXPBmPhOZIX8ugLxSKGlhV+re+40DVWSVYvWiTSXSR2Ry4Ym37diPeydBcJIFIwzLlF4ujCbEIeZ6FgMDXGn2PiQpcxhm966HTm85jo5FyrlAFCkIKBWl9e3bPxwa8+i7uPL1Y65qzuUXn2yjzo82camqBgyAtydtE0tamfmZal4y33HMVHH7vAjzO2SDihRSKtYLhBMhgO/ytUKBSKCogKA2sGFglxodppyFMwpEOUROl/VXYGcRHgn7/rHvzIW+8CEE9O6igYdodu5gSBgtU8P+AWDGpTGQTFCiZ924Ops7GHOU2IN6JdxMWWyaWO0xQMVS0Shq7h3Q+ewhvOrnMvOb0+msSI7109BUNGyKNsBYNkdQFjDCttE5uRRWIW+QsAsNg08U0Pncbrzh6ZyfizwIreO9mtNanQ5Xo+GJOnCCDWuqH8X5Y/ne4JIyeUGMsqQNHn5ZFzV/G5F7bxx49d5N/zfHkKBjGD4cruEGudBgxdS9z/6rWp9HgRgCwSA8fDExd3cfZoNZsKKeBsQcFAi9zeyEXD0Ka+D+L5E19eUyi4cIvEHCkY6FjXIpWjTLiCIVVUpPturQKDrvH5TdmFrliYFZ9XjWgTJgjCjlV920O7YWCxaaJhaLj/1BK+7023Vz7mlqmPbcJQBkPhAgNZJDQxgyFfwVA0Z+lrHzjBix9NU+fnpTfyeMgjENsVZRYtDzLzoxFUKBSKfYQWku2oIj0ri0TbMtC2DPQL5grk4bhREnzaIiFIXKuyM3T5buQrb4tTnnmLJknqCBHRxhD7ihl/WA8df+pu18B2MxdlNDkjmfJi00hYSSZlMIjvW1n+j29+GQDgY49f5qFyYhs8LWr9aHv1PJpi+9CR68PSp+/EFGVWCgYgtEls9h1c3RvxMMZZ8HPvfenMxp4FDUNDx9KlvYeEoUVp8n6YJi9bMfKDbz6L9zx4Wtq4tPs9cn2pxRA6r89EbYl/+29fwHseOg2AFEZyFo8twSIhFtGkKBioi4Qb211CO5mHxy/u4vUVC2rUWSTsIhHAMgQJ+NAp1Ko2EfKYCgYEwns5VzDMVQZD+H7KtkcA+RkMvItEnZBHQ0Mv2tAoe701DI0X5BIKBiPepadnD92zfuU7vwpnj3Zr7dovt028uDVIfG2vpEUiDnkUu0jkKBiilpNFeNNdR9GxdPTsVJvKYdIiQRYSx/MrFxLnicP/ChUKhaICosLA0rVaC/RJ43capGCoaZGIZMN5IY9VFRiu52Nv5GKxNf4QN6cEJRUhDFnMUDAIXSRiCbfGJ17pnthZ5O1C0Ngbe2GBYall8gV9GPIYjm2747+jXzBdehKG4Pl2/SCxGxXbT6o/nnWN8et16HhSdwVpsiRbrg+Ek0gKeTwyIwXDPGLqDO0Z5FGYehTyOCHdvQ7Hl5p4+ZnqLTrT0Od25HpS7RxUuPj7qMDw6aev4YXNPgC5GQyiguHy7ghHo2s8bPka/kzV96EZ7SBzi4QRZjA8t9HHld0R7j25VGlcrmBwQwWDpWt8oRguoKbfB8V7mXiva5CCwfXm2iJxfEl+gYGulW4qg4HCaWt1kdAYBlGhvEiBSIQxxovL6QwGICwwkNKA7lmvveMIjtYswqx1LFzdGyW+tjsMA6KLPoto7mCKXSRy5i4Du3gr6qap42tecoz/WbSlZlskbgwFgyowKBSKucX3A/zjX/trfPLJK9LHpgyGphU+MORbJCILhmlEGQw1LRJ5CoaaIY8kQ8zyZeoZQUlPXtotlI9A5GUw0KRfDKGjDAYAhYIe+46XGYxHkwtSMCy1TH7eXC/gUsas93xYMYNBRBO6SPg5O0F1LJqGMP7Q8flEXgazChwEQgXDld0RNvo21ruqwEBYkYJBNoauRV1aAun5C7OAZzDMSMHw7LU+3hYtFH730fMAIjmzpN9lRR1B0goGxhjvolPZImGS75u89QwtU8ez18JCyX0nq3nfxc4XjueHCgaSgNvFipd5IY9k2xo5Pi/qzpNFgu6Fs1AwtHIUDDzksa5FwhnPYCgKHZNljBeLbNdP5EvJYq3bwM7QTTyTd0cuutZ4QHQeLaEwUswiUfz4v+6BkwCAlbaZ2OTJDHn0A66gOMwc/leoUCgOLT3bxZ99+TL+w6eelj72mEViRhkMnYYedpGoG/JI3tvUBK1uBsPOICowZNgYzFRQ0rPXenjbv/4kPvb45cLj52UwaBqDxqiLRFL2CyCRWJ1H3i6ExgsMYZurpZYZhqAxskjID3kU0YUMBtcPEpPFhgQFg6Fr/P0eOZ60gEcgPr7ZKBgsPL85QBBAKRgELEOTnnkBhDuZjufzheNBR9fjnUCZBYY4PNLHq29fw2tuX8PvPPoCgiBIZKTUhTHGveRXBAUDAHSje6BeI+QRiGXjpqahKdyjXlKxwLAcdXfZ6tuwXR+mYFMLf2+BAoPwmrJCHoeux4u686RgoOM/OQMFAxXS0/L/OOSx+timoYH2AMwK1xvdi7IVDF6sYJD4jFiNwiJpUwAIr/VuwfwFQAh51FkcIj1BwdAsUZh/yz1H8TsfeA0eunkl8ZmwdC2h7gCikMc5KOjW5eA/URQKhSIHumE/cu7qmHyuLvFC0phJBkNPaHfYbhjcE1mVaV0kqioYtgfhInySjYEe0ld2w/fgqSt7hcYOggC7w+wMBiCcwIgZDKau8V2vQgoG20XbzDjuaJJLvejp9xu6Bsf3JyoYZFgktKjdXhAE8IOkBJt2gmplMAgKhpHrl5ooTSOUgDKsRBM+may0TX7cSsEQ0zD0mRR0DJ3B9cLPl6ycgVmSVDDIO17x83fzWhuvveMInr3Wx9Dxpfesb1k6LmwN4fpBIsiUFpJ1Qh6BUDZuRB0j6F5581obCxM6A0xipR3+u62BwwtR4q53kcIU3W8ZS0r7uTddbFM5RxkMbcvAv//2B/GtrzwjfWxdY/jO19yCt9yTbOtItoO6Fgn+5wqFRVImiNeBuIgWN09kcaRL3SjieV7e5kQebeG4xbbUWfQdt9QmAmMMD928AsbYmIKheYNaJFTIo0KhmFtIcuYHwEcfu4jveNXN0saOu0jMRsFAHsiOZUhRMFABYTzkMd6dq8LOMCowZAYxJi0Su5Gd4sWtYaGxe7YHP8hPgdajhbIjWCRoAj4sqGCgHbjEuHqywEABlqYWLrgmhTwOJOzO0ILFi4on4gKHFCd1u0jMKoOhaer4nQ+8BrevV0uln8SqULRYX5BfwJhX3v+G22pJovMILRI+HH82GQyyEUMeZS76xVyAM6sdvLAZhsntjhz4gdzuGi0rzEUAkq0NaSe2eptKski4/BnQssL/31cxfwEId30tXcNW38Eoaq9nlVUwROcvfQ3TfX9n6M6lRQIA3nHfiZmN/ZNff+/Y12hxX9ciQZTNYADiZ5+pZxWLfN7mVaaCYS0qONMzGwiv9aIBj0CsCjF0JrSpnJTBUO34rVQBTiykAYjut/N1nVfh8L9ChUJxaBF3sf/gcy9KHXuQCnm0Pb9UtsA0SLHQMnW0LAN92+OdBapABZDxkEfqY16xwDCIbQRp0hYJmlicT6U9Txs7b3fNiBb8JPc3tXg3YFg45HF8F4ImZ9sDB20rDmUydC1qU0khj/kWiTotA3mAZaaCQUKBQRcyGNxyUs8iPHB6eSaSfbEYtN6VLzueV95+73EeIiYTM0qDd7xgLvqyiyGPUi0SerzDfnqlxRcWu5HdQKqCwRQKDIvjCoaqv4s+42GBgfHfBVS3RwDhzuxSFL7qRCGP6R3aadB7ld5157L3nj2XIY/XA3qe1esiISgYamQwiIvkhmBdnIWCga6Va3txgWF35KJbQpnDu0ho2tjmSJqB7VVWKY5lMHArUKxgUBYJhUKhOMDQIvO+U4v462c2cGG72MK2COkuEkEAvmiTAbVB0jTGdyUGNVpV5hUY6O+VMxgmKBjSFokeVzAUex9oAp8V8giESoOwi0TFkMecSYI4ORMLJ6auwRYVDBkFhkEUbFZngkc7pr4fZTBktG6rM76uaYmQR5kZDLOE5NgAcEQpGGaOrmmRRUKuImBWUCFg5MpVXNDn8fhiE01T5/djKoDKtGO0TJ0H54o2oG7DgKGxyi09Y4uEy+/5tKC6t0aBAQg/l1t9J0zFN7TEtVKmwJDedadn62bf4ba0ecgCuZ5Q8auOoEm0Q1X5HFHhwMwIJ05YJCQqGI50ws/KNUHBsDt0SlkkWlZ83LrGwFjYpSqLvlMu5FEkUWDQMxQMnlIwKBQKxYGGFoJf98BJBAHwV09vSBubd5EQ+hrLzGHojWKPH/kqezVsErw9WWrCUDeDgYc8ZjzIxc4LQJxgXljBMCQFQ/YkgfptO76QwRAtlosUYwY5kwRx8S4WN6htH01280Ie6wQ8AoJFIgqRSxYY6mcwmBqD49Nr8LgX+6BDCoaOpUuV1yqyMXUKeZwvBYPsLhI01pnVNoD4fjwLBYOoJkpnMNQpmjQSCobwvVxommAMlVtUEsstC5t9O8xg0LWEz7yI4oAXGFLnkTGGlY4ZKRg8vvBT5EOL+zrnKb0ALktskRCtMtEi2vUT9lJZLLbCAtw1IYNhb+hioYSS7qaVNnSN8a4fhsb43CJN3/YqqxTTFqJ0yGN4vz3817l6gisUirmFKsL0wCgimy/KwPagsfABwfsauz4yLP2Vx6dWf7Rj1h95wEK18XjIo558KNbNYNgeONByek3HCoZwbEow3+o76I3cqTL63QnqCBo/zCmIiyc0uRkUKMaERZz8kEcgqWAw9LCgwS0SGeesX8ObSZBU2PPCAkPWjmA9BQOD54ltKg/+4hGIFQzrqoPEvkDXu+v7czHhnVWbSrof3LwWFhi60X2ZCqCyMxiA8J4v3h+PLjYybWhFEUMeabH33odP4+4TC7U/T0ttE89v9LHQNPizsBG1bi6yQKX3Les0rrTD4kW3aSh7RAHWop38PNVfEcTPepXCIn0+jERhPFpEOx63f8pUMDDGsNqxxjIYyigY7j+9hC/85Nv489sQlH4inh/Adv3qFomxDIZUyKPvz0Wobl0O/ytUKBSHFgr6o4dM1V36LGghKe7WSFUwCB0O6IFXR8HAQx6N5CzOqqtgGDpYaJqZqdU8gyFazIrHX8SuQuqIfAWDFnnEff53sS/7JDw/tDpk7UJokTwSSBY3TE2D4/ncfpFpkXDc2pYDmt95QQDXDxIhczIsEmE3DCowzI+CYSWq3h1RHST2BZpg2+58SHbJqiC7TSWNdfNaB0B8P6b7k0w7Bt2/ji4mM0a+742347e+99WVx+Uhj8M4g2G5beH1Z9crj0nEFomAPwup+0ARSwPd37LeMyowjFy5YbSHlVuOdPCRD74er7vjSOUxxMVtlcIiVzBkhH2SgoExSLfmrXYsXI0yGFwvtGJ0G+UKLeLmgBiGLELqyMoWiVSIJmNha1faELtRukioT7NCodgXPD/AL3/q6drdEkRoIUghgXbFnIEsBo7LK9i8wCCxk0RfVDA0ii2aJ8EzGMa6SNQLeZyU1EwTftoFIG8xAJwv0EmCKxhydmM0DVEXiXB8y4gVDNPO1bRJAu1apjMYnAIhj3UVDDzk0Q/g+8nJBk3UZLWpDBUM81FgWGyFkm6lYNgfaHExdLy5yGCgW9vI9aRO0NMWCdp5nYWCgSwS6TasC02TFziqQLv/PduTbndZjooAtuvzsek5U6QoQNdWVpbFSsfERs/GyPFVgaEgLzm5WKtNpVgUqnKt3H18ATetthLFe9Ei0Rt56ESbMzI50m3gWi+0SJBKoltCwZBGDEMWiS0e1cbWNMbvrbGVSBMsEsWUP/PO4X+FCoXiQPDY+W38b3/0ZXzyyavSxhzNXMEQFRj0GRUYKIOBFAyjehkMGsPYTiTtMlQNeRxNkNjTxJHO+94w3t0/v1lAwTCcrGAwIxkuWTAMTeMhY9POVZ+3k8xeXNMEbcwiMaVNZV5wZBloou1nKBhii0T1x7MRZUkAUQbDnFgkdI3hzGobtx6pvtBSFIfuFQPHn4twPa5gcHypwYv02skiQYVfHvIocaFEi7L1RblFNPEzLvu9XGqZGLl+ZL8gBUNyATUJjRcYxr+30rbCFpju/BRC552yIZ1p3nn/CXzqx746mcGQ6CLh1s4pykK0SEzLbyqCrmmZ86KBhE5RNGfkBQZT5/NV178xFAwqg0GhUOwLW9FkjW6yMiAFA+2wV92lz0IM+anbiSFvfGq9JEXB4PmZuxF1MxgmhQTSQ9ITukjcstbBVy7vFeoksTN0YBlabhvF5ZaJ7YHDzzv9vralT1cw0CQhZxfC0BhshOFR8esJrQVUYKD8B7FoM7A9rHXrBXHQcK4ftqlMeln1xM9UgcIxgXAxJrtN5Sz5ve9/rdRwMEU+dN0NbBeGdvBVI3S8I8ldL95811H8zDc9gPtPhWGIpGDYHswggyFHwVAXcXEuW8FA1qXLu6N4Zza1gJqGrrHMQs1qJ1RHDBxlkdgvxOtD1rUSZzD46NneTNoYr3Ut3qaS1JJlQh7TmEIhXkTsIFZ5bEMDbC+pYHDCVudh7tLhv9YP/ytUKBQHApqsyVykU6gjLzBIbCM5dGatYIir/B0ZCgY3exfS1Ood+6Q2h/SQdASLxGLLxPHFZrECw8DN7E5BrLTDHQueLxG9D52GMdVqM22SkGWRsHgXibh4kS7M5HWmKEPcpjKA6+W1qaz+eNaj7ArPD2B78yU9XulYc1UQmWdMrmDw5iSDYTYhjy1Lxzc/fBOXdDdNDYzFCiuZu40tnsEgucCQkL3L3R1djsJXxWeMFRVCiwYz6hrLlPUvty34AXBldzRX96l5RsxOkHVtJ7pIjGajYFjrWNgbuRg6XlxgqBF2qWt5FgnanJCgYIj+3zR1jFyfz3/nIVS3LurTrFAo9gUqMMhcpJOCoWmG/bRlWyR432Qe8ihPfSFaJEjm98ePXaxcZLDd7IWkprHcMKMiDB0vd8HH2y1SF4lR2Dbq1HKrUKvK3aEzMQ17uW1hq2/zEElaELUKKBimTRIyLRIaZTD4/L1JX68D20PLlJjBEKQKDGb9DAbebtONW60qFGl0rmDw5mLCK34mZNoW0jDG0LGM2CIhcbeR7kfSFQw1ffWTWE7l1ABhMRYooWBg2S0oVzvh2Jd2hqqLxD5hihYJSdcKXQcj10PPdqV2kCDWos/MRs/m+U11MhhMIQxZhDau2nUsEqkQ1IahYeh4sd1zDgq6dTn8r1ChUBwIdniBQd4inRZQYStJNgOLRPjwihUMchQSA9vD1b0Rb6+53Lbwz951N/7rE5fxDT//CM5d3i09ppNjkQDC8zOo2MJz6E4oMOiUwRBbJDoNAyeXm4UKDDvDyW2mVjsmNvqxgoF+X8cyClsk8iYJRk4Gw8j14foBP650gUGGv5QXGKIMBj0x4avf51zXGPwgPgdNtTOoyICHPLr5946DhLgDPmsPc9vSuc9bph2DLBLpLhJ1ERfnsgPkloXezFkLpyIYORaJZcF+MS/tdOedWVgk9CjYMOwiEQdYy4QspWGBIdyIyQugLkKoYPDx6aeu4Q8//yL/eqx+rD52+vNBIY/c7jkHobp1UZ9mhUKxL3AFg0SVwdAJ03g1jcE05CoYBsJCUnabynOX9xAEYRoz8f433I7/9N2vxFbfxtf/20fw4c+eLzVmnkUCCCezl3dGlY61iEUi7iLhRQWGFi5uDzPlhyK7QyfRJjLNctvC0PH5ZILsHi1Lz1V6PHZ+Gz/+u5/nOxx5kwRarCymduf2hknp5WiswFDfIpHuIiHukNIku06BgSaNNFFSCgZFFoZgn5oHT3BCwTDjCXqnYfD7zjxkMJh63HpXfhcJ0UZWrcCg5VgkVqMCg+cHyiKxT5AiU2Nyr+2GoWOr7+Dc5T2cXmlJG5c4EmUfXd0bcYvEJIvlNEJlZ4Bf+Pg5/PRHHudfj7tIVL8exz8nYcijm7J7HmYO/ytUKBQHgu3+bDIYaEFm6prUNpWz7CLxxKVQoXDnsYXE119zxxH80Qdfj3tPLuKHPvRZnLu8V3hMxwtyH1onl5t4cXu6oiCLoTM95JEemnsjB92GjpPLLbh+gCu7k4saOwNnooKBwsWu7I0Sv69j6bmKjI89fhm/+Znn8aG/fh5AvkUiu00lw+4o2dlCLCp5UQBk7S4SLC4wuH4AcTM2zmCop2AA4iAstTOoyEJUAcyDRUL8TMx6B7Bt6Vx1J/N3ve7sEXzLK87gjqNdaWMCoa2D7tOm5IX6SoaCwSwZ8mhEVr1JYyuLxP5AFgnZi9yGoeHPvnwJfdvDu+47IXVsAFjthEW5a3uCgqGmRcLzAzy/0cfFnXhDZFpAdBHoOU6KxKapcXUkMHsF1kFAzToUCsW+sM27SMhTGYwE+b7sDIaBkMHAFQyyCgwXd2AZWmbf82OLTfyTd9wNAIWCEomRm99b+eRSq9RYIsMCbSrdqNvC0PHRbZg4Fe1enN/qTxx7d+hOzGAgfy4VKuj3tRtGroKBlAufePJK+LN5BYZMi4TGxyUFg/ieU1GjdsijoGDw0gqGaJJdZ1FjpAoMeQUixY2NuMCYhwmvqLKYuYLBMrhFQubvOr3Sxk+/+/6ZtAXlxXbJ56ZpauOFBb2CgiHDIrHSie+/SsGwP6TfQ1k0DA1Xdkc40rXwiltXpY4NgHdv2ujZ2Bu60DVWq5WkrjGMXA/ntwbwhA2R/hR7ZRHGrUQ6ho4XB1bPgWKsLof/FSoUigPB1iBsLyQz5HEkyPdNvXqQYZogCNAXu0jwNpWyFAx7OHu0mztxpcUtVemLYHv5FomTyy1c3h1VOvcjx8vdWaKgItcL0Iseyp2GjrXIK7kVqVby2BlOVjAsp9qjUcp729T5LkOavVThoUyBwdQYn1wsZmQwxNLJegFWVADwecuq8b7kdRY1NB619KqTtK04vBgJRcDBnw7q+3i87YbOQ4Tn4dwA8QJd9s40Y4wHPaYXTmUUDFn3tG7D4OoZpbTaH0jhIlvpQq1S33Hf8ZmEGC5E18rVXmiR6DYMPieogqkznN8ccFXthUjlSRsJtbpIpD4fbUtHb+TxwOp5KOjWRX2aFQrFvrA9CBdnMlUGQzde/BoSFQyOFy78qDpOEyBZxZEnL+7iruMLud+nRTftxhfBmaBgOLXcQhCESd1lmRjyKCgYaOe/2zASLavysN1Q8TBZwRBZJHaGiUl+p2Hwgkaa3aGLW9bauO1IqA7JmyQYGoOla4ldM3FSxBUMwjU1LTiyKJqo/PCDhDc5bcupgh7924vRhEl2SzzF4UBciM5iR1024gI1y88vEzEFf07qC/y+axryzw1ZGdK73yQBn4bGsjMYGGO8kKwsEvsDKVxk24zoWfoP7j8pdVyCMYa1TgMbezZ2hk6tgEcgvJ88vxkrOy9sh/Ojge1BY/UUNfT5oLnjQtPA7tARAqvn5KZSg8P/ChUKxYFgZ0ZtKptCBoOsfIe0B4+3YJJQwNjuO7i4M8Rdx4oUGOQoGE4sh4nlZW0Snh/A8YIJIY9xBgMpB7pNgz+YRxM6hlDxZLKCIbJI7I0SHvGwTWX2udkbuVhqmfiJr78X737wVO5CXdMYFltmYgdEXHBlKxjkWCQog8GP2lSKE70333UU//Ld99fyaNMEkiZMsgPlFIcDcRdtHlLNk4qLWYc8xp/xG13BAABL7WwFQ+EuEjpD3qbtKi8wzMd5nnfMGV0nDUPDkW5jJvYIYq1r4cXtAfamdKAqAmUwEDQ/CjuI6bXUEenPx0LTxN7I5RsWsm1MBxH5jUoVCoUig+2ZFBjiAEJLokWi74SLV1pINqJdGhltMJ+MWlDeOUHB0LEMMFZOwWC7fkLuL3JyOcxEKFcaTZUAACAASURBVBv0SP2g8xQMurATTwWGTsPgUteRk3++qHgysYtEK5x4Ol6AxaagYLB0OF6Q2Tljd+ii2zTwxjvX8cY713PH1hnDUiv5CBSLGDR5EYskvCuDxC4SrucndmZblo73veKMlPFf3B7C1FnudaG4sUlYDuZgR0083llnMIjdZ2b9u2Qh5hHJhlsk9GRAYFHli86yLRJAXEieBxXNYaDse1eU73rdrdBzrDCyeOOd6/iFjz+FI10Ltx4Zz7AqAx2nxsJzcpEUDI5b2wZp8Xlp+P+FpgE/AHYiJe883G/rcvhfoUKhuO6IO9wyLRIj1+eTKlOiRSK9Uy2zTeXjF8MCwyQFg6YxdC0DOyUUDI7n5ybBn1yKCgxb5SwSvMCQMxFhLEwGd32/tEVihysY8he/lqFhIZJBGgkFQ/i1rByGvaFbSDqpa+MLb3GnkgofiZBHSRaJRJvKQP4Chs7Vxe0BjnQbM5eTK+YTcQdzHnbUrp+C4eCfG2C2CgaySFTNYNBzQh6B2AqnFAz7A13PsjvHfMPLTuFrH5iNPYL47776LG5Za+Pqnl3bIkHP+xNLLZxabiUsEnVViuk2lTTP2eyHuUgqg0GhUCgkIC6UZdgMiKHjJSZVjivZIjGDDIYnL+5ioWngxFJz4s+Fnr0SFgnX51XzNC1Lx2rHKm2RGEavN0/BAIQTR9cPsBcda8cqapEo1sd6OUoZT2QwRA9/UpqIhOFP03fsl1omTiwle3WL3uVYwZDVRaK+9xMAvCCA6/vyCwzRuXpxa4j1BWWPUGQjLpxlB77NAqVgmIzYslk2pDJI734XLQpM2tlWGQz7S7ojyDzRsnT8y/c8AKB+eDHd/25abeGE0Mq7L6PAEM0l6FwvRmrJjV5YYJiFyuigoSwSCoVi5pA9ApiBRYKKAIaGwaC4pWASsYKBds81aEyO+uKJS7u469jCVH9f6NkrYZGYoGAAgBNLzdIFhtEUiwQQTlJcL7ZILIgZDBMsEpTJMW2SsNq28PzGILFT1o52Lnqj8QLG7pTOFMT/9b6XjU14xdZRC41xBQO9H+LuZhVoJ8/zA/j+DBQM0XiXdoa450S+UkZxY5NoUzkHi2h9PxUMwgJjXnYbZxnyyDMY9OTitKiCQZtgkaB2xKqLxP5g6vNbYACAV922hn/13pfitvV6Fgn6XJ9ZbcPzgUfOXQUQbiRMmvMUIVfBEBUY5uF+W5f5vLoUCsVcIRYY0ov0T33lCn7wNx6tNO7Q8fmkRGYGQ1abIsvQpBRHnrvWxy0FvINVFAyTdpNOLrcqWCRIwZA/rq4xeEIXiU7DgKFrMDSGYREFQ2uKgiHa3RIfyGRRSAc9BkFY6ChSYDi62MRaKvxQXEhwi4RwTV3aGfF/WwexTaXr+zz0URa8fagfKAWDIhfxep+HxcZ+dpFoC/LreVkM0P1/FrujvItESrlQVMGw2DJy78srKuRxX5mVRWI/ec9Dp/HyMyu1xuAKhpU2Ti43cXl3CNfzJSkYkp9FuvavUYFhDu63dTn8r1ChUFx3qMCga2xskf5XT2/gDz9/IZHmWxQxg8HQ5GUwDKKFa0uoYpu6NjFToCi9ggvg0gUGL79NJRC2qixvkQgLBI2JCoawsBOHPEbBmIY2WcFQIIMBAFainTPxgdxuUIEhWcDo2x78AJW9meIiayGji8TF7SG6DUNKeywAcL0ZZTAI46kOEoo8RNvRPOzSJ453H9tU6qqLBA95bKTaVBa1Nfyrb34ZfvLr7s383oqySOwr82yRkAnNKW5abePEUgt+AFzeHWFn4NQuMLQsA4bGeBGHrKCUwTDPxZ2i3NhXl0Kh2BeowLDWscYKDI4f/r1KcWAkZjAYoVRfBlntCBtG/QJGEATo2W5i8prHQtMs1UXCcf2JE4aTy03sjlxc3h3ilz/1NA9wnEQc8pj/sF1faOK5jT72Rh4sXeOTxIapTwl5dMEYeIhjHisd6r8uKBii85dWMIitMquQ1UVCvF4v7QxxbLH+gp0sEtRWdVYhjwCUgkGRiznHCoZZL/rbgg1KtsJoVoiBx7I5e2wBLVPH6ZU2gPIhj6eWW7nKLxXyuL/ECoYb+3zHGQxt3sr70ec28ZXLe7XVEd/2yjP4xe94iFthaSNlg1skDv+5VxkMCoVi5lCBYX2hMbZIp6KA4/mlfW9DV8hg0JmULg9AdoHB0utbJEauDz8IbQTT6FZRMEyYoFGg4U98+Iv46GMXcctaB1/zkmOTj7eAReLhm1fwu4++gNMr7UQ2QcPQJoY87gwcdC1jqtSZS3OFyRAPeUwpGOh8VQ1/Eh/6NEZCwbAzxPEp4ZxFoIWS7XmJv8tCHE8VGBR5iKqgedhR29cuEqKCYQ7ODSAqGOQf7x1Hu/jyv3gH//tbX3IMm30bRyXcX25aDZ9N6l61P5hKwQAgLsTftNrCRi+cU/zqI88AAN5x3/FaYx9bbOKYUFBbUAoGhUKhkM+OUGBI72q7HikYyqkPPD+A4wV8d92S2KaSd5EQCgymodUuYKRtBJMoY5Hwo3MxqcBwcjmcxH30sYsAQingNIYFQh4fvmUFPdvDo89uJgonYYEh/3ztDl2eczAJbpEQMxii39MfpQsMke2iskUi/h0dSwdjqQyG7WFi0lAVXmCIzs+sukgAatKuyCe5YD/400FNYyAxwey7SMxhm0oz2VZ5lpxcbuGHv+bOqWHFRbjj6AI+9WNvxkM319s1VhQjDiCcj+t6VnSs0O643m3wDZi/eXYTdx7r4vb1rtTf1TJ16BrDZi+co6gMBoVCoZDA9sBBw9DQbRhji3RbUDCUgXbHm0JrrrJFijzSXSQAOQUMWhAXaXO42DRhe34hKwPZTCbtSJyKCgy0iL5SpMDgFikwrAIIu2N0EwUGfWoGQ5EsitgiIWQwRMfTk26RCH+HoTEYupZQrfh+gMu7IxyfQYFB9gImYZHo1j9exeEk0aZyTnbUyK4wcwVDQ8xgmI9zM8sMhllz02pbSrFCMR1lkQj5x6+/Db/xPa8EYwyLTYMrI9953wnpv4t+x4bqIqFQKG5EbNfHhz97HkEgZ6FObPcdLLXMzEU6KRjK2g+ow4E4qXIktcAcOB4sQ0tMLGV0kaAFcbegggFAIRUDHdckD+v6QgOrHQvf9bpbsdI2cWVvekeJIl0kTi23cCKyDSQKDOZki8Tu0MFiAStDbJEQFQzZFom9IZ3fagUGgweXxf8nFcbV3giuH8ixSEQT6dHMFAzKIqGYjriLNg8KBiD+rMy6i0RnHhUMc1xgUOwfeqQEutGvk/WFBh44vQwgLADQs/2d99ezR+Sx0DR5h7Ib4dwf/leoUCgK81++fAk/9KHP4ksXdqSOuz2ICgwZi3TXr6ZgSMv3TUNeBsPAdhMdJAA5XSQolLCIgoEKDLQrPwlSbkx6aOkawyd+9E34p++4G+sLDVzeKW6RmJbuTSqGMhaJnUGxbhpUYBAXQ5YeFn/SIY+7I8pgqGeRiKXGcVDlpe3wfMmwSNBabmYhj9EvWGgYCZuPQiGSCHmck4A9WuzPetHfnksFQ5xHpFDkwRiDqWvqOklx65EObl/v4K5jCzMZX5yXzEPXnrqokEeFQsE5H7Ux7I2my/LLMKnA4FTMYBgrMEhsU5nVB9mS0EViLzqvhTIYGuHufpFOEnROp3lvKbjw6EITV/aKFBimKxiAMOjxDz734phFYjDB3rE7cnBXa/qDfKUTHrM4GWKMoW3p+SGPjXohj01BwUDn9uJOqPiQYZGg3zOzDIboXCn1gmISomrBnJNFNH1WZp7BYIoKhvkovtB9elK7YoUCCD/vN8Iuehn+93ffD9cLZmbVEQsM5pzcU+pw+F+hQqEozIXtcBFVxPdfBiowZOUkuJUzGJKLX1PX4Adh+GNd+o43tvPbkGCR6I+KKxi6FSwSRSeW6wuNYhkMBdpUAuDhXN2UgmHSdVRawZB6ILctfSzkkSwSRQo4WYwrGOJgT15gkGCRoJfCu0hIntDQ4uuIKjAoJiAW7eYldMwQclJmiaYxXmSeOwXDnKhRFNeP7379bXj7vbOxAswrRxeaPAx7FojdrW4EBYO6CykUCs7FqMAwaee5CpMtElEGQ0WLRDypCm/YMlQMgwwFg6knu0i8sNnHT3/ky/BLFDR60Y57kYyAOIOhgIIhOq6iE8v1hQYu746mZm0MXQ+Wrk31O99zYhFHug3eSxoIlSV5FokgCApnMDRNHS1TH9tt6VhGRsijg5apV14smakMhjDkMXzPLm0PoWsMR7r1F+1UUJiVgoF2R5SCQTEJxhi/9uZlwqtFnx19HwoiVAiemwwGodiuUEziR956J157x5HrfRg3FDeaRULdhRQKBefF7dAiIVvBsDNwsBiFPNqen1jYkqKhbEAjD3lMyULFAsNnn9/CD3/o70oVAYAwK6FtJosAYkcBAPgvX76MX/zk0/ycFR0XwFjxIgtafO/MQMFwdKEB2/Wnjj1yfH5+J6FrDH/yw6/HB950O/9amMGQfR31bA9+UDwr4e4TC7h5rZ34Wruh83aixN6omCoiD3ro8wJDyiKx3m1IKQbMuk2lThYJCcUQxeGGFs/zIqvfrwwGIFZCzTpQUhbU9rdqyK1CoZgd4oaKskgoFIobClIwTGovWBbPD7A7crmCAUiqFUjBUDqDIdVC0eQFhnicR85dxe999sVCNgORgT1ukQgzGOKxKXyxTPAj/ZtOKQVDkZBHymAoNhGmne1pNomR601sUSmy1m0kwiAbppZ7HZEqgybE0/jdD7wGH3zL2cTX2ua4gmFn6FZuUQnENgx6HaJF4tLOEMck2CMAocDgzUrBEI53dFEVGBSTMeZMwcAzGPahpWHbMuZGvQAAbzi7jt/4nlfijqPd630oCoUixWI0N9E1NjdFyzqoAoNCoQAQtou8HC04hxPaC5ZlZxAuJqlNJZAsAjhVMxgogNBIFxjicUiJMfLKvZ6Bkx3yKCoYaOFfRu3RH3nQNTaxnSRBu1BlLBKWXqwYQDvb0woMQ8efGvCYR8PIt0jsDMp1e8gKXcpUMAxdLNTYvaMCjaiKoff80s4QxyUt2GMFw2y6SKx2LLzj3uN4w9l1qeMqDh9xpsF8TAepELIfuQgdS5+b/AUgPCevuV3J3hWKgwhlMMxT0bIO8/FEUSgUM+fqns0DEmVaJDb7NoCwGwBXMAgLT5d3kSgb8kgKBvKdJmXnQPw6yoYz9m1vapvKvZETHUfxsXu2i7alF0opNnQNbUvnwYWTKNpFgiAFw+Xd4cSfGzre1IDHPCZZJLiCoUAGQx5tS+eZFsTeSJaCIcMisT2U0kECiH3kVBiSPeEwdA3//jsewn2nlqSOqzh80H1zXlrW7WdmRLsxXwoGhUJxcKENlRslI+XGeJUKhWIqYpbAUKJFYrMfLiaX2xa/sSYKDD4pGKq1qWyMWSTisQcVCwxZFolGqk3lXkUFQ6dABwlioWkU6yJBIY8FJ91HF8KF8nQFQ3GLRJqwwOBnBknuRAWGOnkJbcvgXTmIUMFQvWhhZHSRGLk+BraHnaEr3yIRFWC0fZB7KxRZUFFtXia9ZI1QCgaFQjFPcAXDnBRz6zIfTxSFQjFzKH8BkKtg2CIFQ9viO+ziQr2qRWLILRLJCbJYqKCfKdOhIggC7AydREshYNwiUSmDwXbRLtFCsdswsDsqYJEoqWBYbBmwdA1X9mZokTB1BEF24YiKJkUzGLLoWDr6qet0d+jUUjBYqS4S1JqUt6iUpGBId5G4USYcioMHXXvzcg3q+xjy2LaMuWnfqVAoDja0oTIvdrS6qKhZhUIBALgQFRg0NhsFw6pQYBhlWCTKtqkcjYU8jreprKJg2Bu5cLwAax0r8XVTZ4ljpEXyqJSCwS2V8L3QNIspGKLXVyTbAQgzDdYXGriyM6XA4HqVE8kb/L32xgof1L2ijoKhZRnoj1IFhpLnN43BCwxJBQMV36RZJDQGxuLii36DTDgUBw8qzM5LqnmcwTD7433d2TUoAYNCoZABbajMix2tLlPv0IyxX2GMXWaMPSZ87WcZY48zxj7PGPv/GGPLwvd+nDF2jjH2BGPs7bM6cIVCIZcLWwM0TQ2rHUtqyONmL1QwLHdMWBk5CU7FDAbeppIUDBnqiFGFAsNmLyyIrKQKDJauw/MDnlNRRcHQs8fDIyex0DQKtal0uEWi+KR7faFRSMHQqJHBQGOk2Y5ULXUyGDqWDtvz+WsPgqB+m0ot2aayEXWRuBDZh45LskgAoYqBt6lUFgnFdWL+ukho0f9n/7u+8eWn8bPvfensf5FCoTj0cAXDnNxr61LkFv2rAN6R+tqfArgvCIIHADwJ4McBgDH2EgDvA3Bv9G9+gTFWbXaqUCj2lQs7Q5xcaqFh6NJDHg2NYaFhTLZIlMxJGDoeDI3xXeesDhVVFAwb0eJ3tTNukRCPnQoMZc5Vb+SWymBYbJrFukiUtEgAUYFhWptKx6tlkQAwFvT4+MUd/PKf/z1uW+9UzncAwDMy+lHQY9/2EAT1VBFUoEl3kXh+IywwnFppVR47ja4xjGbUplKhKArdP+clg4EKIkr1o1Ao5gke8niD3LumvsogCD4JYCP1tf8cBAFtq/0lgNPRn78BwIeCIBgFQfD3AM4BeIXE41UoFDPi4vYQx5eaaJoabwEpg82+g+W2CcYYb6MoWg1cnxQMZUMe/cQCNbtNZfjnUQl1BCkuVtrjFgkgVixQyGMZBUPf9tAuZZEoFvJYWcEw45BHIHl+nr3Ww7f/8l+haej41e+s92joROexb4fnh85Tt0bII73HokXCdn28sNnHscVGZTVHFromKBhUgUFxnaAF+7wUGEjto7o7KBSKeWJRhTyW5rsAfDT68ykAzwvfeyH6mkKhOOBc2Brg+FITLUuugmGrb2M5WqxntZJ0o8JClQwGcXedjy1mMNgVFAw9UjAkCwyNlIJht6KCoVsi5DEsMExXMIwqKBiOLjRwrWdPtKYMXb9wrkMaWoyLxar/+Mgz2B26+PXveSXOrLUrjUu0UwoGahtaq01lKuTRiiwSL2wOcHql3vGmCS0S4bGrAoPiemHoYR7IvFyDOlcwzMfxKhQKBRDOK0yd3TAhj7VeJWPsnwNwAfw6fSnjxzK3JRlj72eM/Q1j7G+uXLlS5zAUCkVNPD/Apd0RTiw10TR0uRkMfRurUYGBFsB2wiJRPYNB3FHmCgahmECvo1QGA3W9SGcw0LG7Pv8PQCm1R9/20C5hkeg2TAwdf+q5ofNplVQwAMC1PTv3Z2opGMw45JF45NxVvOLWVdy+3q00pgidRwp6JAXDQo2Qx4WGgX/wwAm86rY1AHHuxnMbfZyWaI8AwqDHOORRLZYU1wdT0+ZKssu7XqjPjEKhmCMYY1homirkcRqMsX8E4GsBfFsQNzp/AcBNwo+dBvBi1r8PguCXgiB4OAiCh9fX16sehkKhqMnQ8fDXz2zA8wOcWGqhaep8518GW5FFAkgu0gnXr9im0vX4IhbIaVNZUcFAmREiNL7t+uiNYttC0WJMEATo2S46JUMegdiOkYfjhq+5VIGhGxYYLu8OM78fBEFUYKiqYEhaJC7vDvGVy3t47R1HKo2XhjIy6PgpE6NOBoOmMfz8tz6Ih25eARBfr+e3BtILDIZgkVCLJcX1wtDZXEl2lYJBoVDMK4vNG6f1baVXyRh7B4B/AuDrgyDoC9/6fQDvY4w1GGO3AjgL4DP1D1OhUMyCa3sjPPQv/hTv+6W/BIAoeE+T3KbS5nkGjawCA4U8lsxgGDkemgkFw3ibyqFbvgXmZt/GSscCSyX7iyGPe2KBoeC5GjhhCGGnZAYDgKk5DLYXBl5qJSbd1BHhUk6rSscL4AdInOMycItE9B58+qlrAIDX3L5Wabw0dx1fBGPAY+d3AAgZDDUKDGlEy4lsi4SmxW1PNdVFQnGdMHRtbvIXADHkUX1mFArFfLHQNG+YDYWpMzHG2G8CeBOAI4yxFwD8BMKuEQ0AfxpNwv8yCILvC4Lgi4yx3wLwJYTWiR8IgkDeVqhCoZDKhe0heraHD7zpdnzjy0/hzmML+PW/ek6aRSIIAmz2HCx3qP9vRheJKOSxjMoACBeuzUwFQ/0MhtVUwCMQqwNGrp8ohqS7JOTRi6T8ZUIeqTBztTeamFlgu36p/AUgLjBQC8Y0dA3UDnmMMioeOXcVi00D955cqjRemm7DwK1HOvjC+W0AscqjW8MikaaRKDDIVTDojGEQneN52kFWHC5Mjc2VZFcpGBQKxbzy7a86c8NkMEydiQVB8C0ZX/5/Jvz8TwH4qToHpVAo8rm4PcS/+/g5/E9f+5LaO08UUPjq29Zw57EFAOGOtawuEn3bg+35fKGctkh4fgAyWJXPYEjmA8QKg3DAIAgqZTBs9GysdMY7EZhCfoQr2jAKnivqdlDGInFzVFR47lofD55Zyf05xwtKXwtHOg2YOsOF7WyLBF0DVS0STTNpkfiLp67h1bevSV0Y3H9qCZ/5+7DJ0VNX92DqDGudhrTxZ6lgELtIKAWD4nphzFnoGN0/5umYFQqFAgD+m686c70PYd9Qd2iFYs740y9dxK99+lk8faVXe6xBVGBoCYve0CIhR8HAAxMpg0GPF+lASslQKeQxX8Ewcn1evChjkdjo2WMdJACgIYRIUscC+j1FIFtFmZDHm1bbYAx45trk93pUQcGgaQzHFpu4mFNgoGugUVnBEFsknrvWxwubA2n5C8T9p5ZwYXuIq3sjfOrJq3jwzEriWq4LXV+MASeXm9LGBaICg6cyGBTXF0PX5kpBo0eFBaVgUCgUioOLKjAoFHPGi9sUaje9feE0qMVfyxQLDPLaVG71w2MkBYOZUjBQwCNQPoMhrWBIZzCIKoyiRQAA2Ow7mQUGsQMG+f0tvXgxhs51GQl/09RxcqmFZ65OLjA4nl8q4JE4sdTEi1vZFomRJIvE0PHw6HObAIBX3Lpaaaw8yG7x8Seu4EsXdvCGO+UGBtM5PbbQTHQskYG4QFKLJcX14qEzK9JyUfYDQ1NdJBQKheKgI8+sqlAo9oUL0YJwWvBfEYZ5CoaSeQh5pFs+phUMrqAsKKMyACiDYbxNJY0zEBb+RS0Snh9gq5+TwSAUR0iNsNa1ChcvqPNEu1FuoXrzWhvPXOtP/JkqGQwAcHyphc+/sJX5PbJ+NCuMC8TKh5HrY2CHQZInl+XmGNx7ahEA8EuffAoA8DrJCgk6p7LzFwBAXB+pAoPievFdr7v1eh9CKVQGg0KhUBx8lIJBoZgzYgVD/QLDIEvBYOjw/KC0ZSGLTa5gSFkkMro7uJUyGDIsElHLxmGFAsPOwIEfxAUREbFNJQUKHuk2SisYOiUsEgBwy5EOnp1ikejbXuI9LMrJpSYubA8RdxqOoddVO+TR9bDRt2Hq460/67LYNHHrkQ6evLSH5baJ+07JCZAkZllgEBdIajdWoSiG6iKhUCgUBx9VYFAcaGzXx+6wvhXgMEGp/3sSFAw8gyFlkQAgxSax2QsVDMuRIkDTGAyN8eKFGJZYxSIhytZ1jUFjsUUioWDwir2WjUhxMc0isTdywVhYiCibwdApqWC4Za2Nzb6D7X7+52Bv5FRqz3h8qQnb9bERvU8iXMFQu4uEj429sFVpuvWnDO49GaoYXnv7EemLDiqIyQ54BGIvOYBS7UUVihsZTVkkFAqF4sCjCgyKA80vfPwc/uHPP3K9D6Mwz1zt4Rt/4RFc3RvNZHzfD3BpOxxbhoKBZzCkLBJA8e4IkyCLxHIr7spgGVqcwZAoMJRUMLg+GqkOB6au8XGqKBioILKSYZGghXbf9rA7dNG1DDQNjbdhnEafCgwlFQw3r3UATA563Bu5ldQBJ3iryvGgx1jBUO0xwRiDZWgYuT42+tnBmTK4P1ItvP6sXHsEMGsFQ/xntVhSKIqhFAwKhUJx8FEFBsWB5oXNAV7cyk65P4h85u838HfPbeHTT12byfjXeja3FcjKYGAMiW4MMhUMW30Hi00DhrCaEgsMji9kMJTIfXA8H7bro20mF9WWrnElRJUMBtrJz1oMH19somlqOHd5D3sjF92mgaapT1Uw/OTvfxE/9KG/Qy8q5pTNYLilSIFh6FZSMJxYChfOWZ0khjVDHoHwuhq5Xm5nDhm85Z5jeNlNy3jLPcekj33bkS4eunkFr7pNfgieLqg5lIJBoSiGalOpUCgUBx91h1YcaAaOh6HrZXrEDyKXdsKF2mMvbs9kfLJHAPIyGFqmnpCuN3k4nwSLRN8eyzMwdQ12VASoqmDYGYR2gaVWclFtGlpmF4miAZLpUEoRXWO489gCnri4Gy7oGwYaxvQuEl96cQd/+PkLeHFrAENjpbs93LwWyvOfnRD0uDdyS3WnIGIFw3gniTjksU6BISzAzLLAcMfRLn7vB16L9YWG9LGX2iZ+5wOvwS1HOtLH1lQGg0JRGq5gmKPWmgqFQnGjoQoMigPN0PYQBOX9+deLi1RgOD+bAoOo5pCVwZAOB4wVDHJCHpdTdgNLFxQMwsK/zHu8TQWGtpn4uqmzsQwGXWMlFAzhuFldJADgrmMLePzibikFw8j14PkBPvKFC+g0jNI5BE1Tx4ml5sRWlTsVFQxr3QYMjc3EIgFECgYnLDCszajAMK+IRQVtBtkUCsVhhLJLVFFOoVAoDi6qwKA40FBGwFDCbvp+wBUM53ekqS62Bw6+8z9+Bs9v9HEx2mlebpvSFAxpCTwtKAdSLBI27yBBNAwtblPph+fIEpQHReAFhlZybEOLx6YF8lLLLBzEuNm30TS1RCaFyN0nFnF1b4RnN3qFFQxUqNnsO+jkjDuNsFVldoFh5HqwXR+LTTPz+5PQNYZji81si0T0uhp1FAymht7IxfbAyVSF3MiIRQW1WFIoikECMFWUUygUioOLKjAoDjS0yJWRB7AfkIJhe+Dghc1xObtC2AAAIABJREFU2XkVzl3excefuIIPf/Y8LmwPYRkabl5tY1dGgcHx0LbyFAySLBLtDItEVDCi1pRtSy9sYwDyCwxhoSKZwbDYNAorGK7t2bnqBQC4+/gCAOD5jQEWSigYiHbFNo23HunkWiR6o3D8KhYJILRJiAqGL7ywjZ/7kyd4ASsdpFmGhqHzz4RSMCQRQ+pUYJ1CUQxL18GY+swoFArFQUZuU3LFgeXxizvYG7p4+JbV630opaBF7kiCXH8/uLg9wktOLOJLF3bwhfPbuGm1fns7eu2fePIKji+1cGKpiYWmiT0J7TsHjje2W0+eeykWiZ6D5XZ+EYD+3zZ1KQoGU2dwXFIw+Pxnio6dlRkhcldUYADAFQyeH8DxfJg52Qoj18cta208c62PTsUiwJnVDq717MysBbLKVC0wHF9qJiw9f/j5F/GLn3waHUsfCwAtS8PQeL6DUjAkoQWSxjCT9p0KxWHkvQ+fxm3rHVVgUCgUigOMUjDcIPzsHz+B//nDX5zJ2H/77CY+/NnzMxl7nhQMjufjWm+EN961DkNj0nIYRtHi+NHntvDkxV0cX2yi2zBmbpGoe86v7Y2wN3LHFAGJNpVRF4mmpcNxi1tKKORxcazAMN6mcrFlFlZHTAsjPNJt4Eg3DBPsNkwhENPHH33+Aj7wn/527N+MXB+vueMIjnStyhYJylfo2+Pv+e7ISfxMWUjBQJaevh12FunZHhqGVmvx2zQ1XNkN26rOKuRxXtFVuz2FojQnl1v4upeevN6HoVAoFIoJqALDDcK1no2ehAVpFr/2F8/gZ/74iZmMzTMY5kDBcHl3hCAAzqy2cfbYAr4gqcBAi3HPD/DEpV2cXG6h2zT2IeSxeoEhCAL86G9/Hpau4W33Hk98z9Tj0EXqItG2ZCkYkhkMjIU7+0UtElmWjjRkk+g2DW4fGDoe/uKpq/iTL14cy94YOh7apo6fe+9L8cG3nC10HGmsKDE9KwiTroOFyhaJFkauj81+eE77toeTSy38+DvvxttecnzKv55Mw9ARxWyoAkMKalOpCgwKhUKhUCgOE8oicYOw1belhPZlsTdyC4folWU4RyGPFJR3fLGJ+08t4s++fBlBENSWP6fP7YmlJvq2JyeDwfZwajlZYOCL5hrv6a/9xTP42OOX8RNf95KErQAALEPnCgQqKrRNo3QGQ8vUxwIILV3jRQtqwSkqJqZRpJ3iXccX8OfnrmKhYXA7ycj1sTN04Qfhn0VVyMj10TA1vOmuo4VfXxqyXzgZr2OXLBIVFQxr3fD1bvXD1z50PDRNDd/7xtsrHm2MaK9QBYYk1KbS0FSdX6FQKBQKxeFBzWxuEDb7zsxsBnsjl4f2yWaeLBLUQeLYYhN3H1/ERs/GtZ5de1xaHN97chEAogyG0CJRt1PFJAXDqMY5/zcfO4fX3rGG73zNLWPfS7apDI+/VUHBkFYvAIBpxG0qh25o/xB/3yQcz8fu0J26ECYFQ6eRVDCQqmJgx+fN9Xx4fsALEVXhBYaMc0RWmaoZDPT+k1qob7toW3Jqzw3h2pqmDLnRMIQMBoVCoVAoFIrDgiow3AB4foCd4ewKDL2RW2r3uSi26/M2hvNgkSAFw7HFBlY64eJ3V4KNgRbHb33JMQChpL3bMBAE8aKwKkPHQzM35LH62DtDBw+cXs5Ub1gGE9pUxl0ksuT/eeQVGAwtzmAY2H6sYChwfW72w2LQtDDC+04tAQh3/klBMXJ8rsroCTkJpD6p04kBiAsMWa+DlCxVFQwUPEkWqqzgz6qQgmGxaeSGYN6ocAWDOi8KhUKhUCgOEcoicQOwM3AQBOFusev50ie0vcgiIcMOICJaOuZFwWDpGlY7FjrRDrCMnARqc/ieB09jYHt4zR1ruLQbFjP2Rm7lzgRAbCMQMXUGjVUv6oRdFfJ37S0hiFFUMHh+AN8P+MJrErkKBl2DHY05dD00TA2WoRWy8Gz2wgLBpDaVAHDPiUX89ve9Gi+7aRmfOneV/66d4biCgRcYaioYLGN6BsNic/x8FIHalPajz9jA9rAsSW1ABQZljxiHMhg01UFCoVAoFArFIUJtndwA0M4sUM9Xn8feyEMQgKsNZDGcswLDxZ0hji42wBjjcnUZnR5IwbDWtfDj77oHbcvg49dRSARBgL7j8QUmwRhD09Qrn3P6d82cXftEFwkvVjAAgOMXuz63B+5YB4lwbMEiQRkMBS0SGz1SMExfqD98yyoMXYszGBwfO4PwvRBVJXQu6rR6BKZZJBwYGqv8O8gO0R+RRWL8mqgKFVZUgWEcnWcwqAKDQqFQKBSKw4MqMNwAUDo8kNxdlQVJq4sG6RVFPNZZFEZkc3F7iOOLTQCxXF1G5w46r5agPFlo1i9ghKoTjLWpBEJfftVgzQEvMOQoGIQCg+NTF4nw9RS1SexMUDCMZTBEFolpeRVUiCuzGOYtPQUFQz9DwZB3LooyKeRxb+ii2zQqq4e4gsEWLBI1j5cga4gqMIyj2lQqFAqFQqE4jKgCww3A9kBQMEhWAnh+wBeUsgsMiYXaHCgYLu0McWwpLDBwX7stwyLhQ2NJr3a3ES6u61gw6FrIWkyGCoZq7+ekcYFkK0lSMNDPZi2gs5hkkaAxBoKCoYjChhQM0ywSIrRDvzNw+PXfT2QwyFUwZGYwDN3KAY+AWGCILRKyMxhUgWEc1aZSoVAoFArFYUQVGG4AyFsOQHqrSnEBLTvocZ4yGIIgwMUdQcEgwcJA2J4/5uGPLRhO1j8pBJ3frMVkw9RqWCQmBxsmLRKkYIgKDAWuIdfzsTdy8wsMQjBoM8pgAKYXwKjAUCZ/gBQMl3dG/GvJwpickEeLWyTGiyT/P3t3HiTJeZ4H/vkys7Luvnt6LgCDwQwAEgcBEOAhUiSXImjR0oq0ZFrUtZStEE2vVtoVvYcsW5bD2ljLYYXkVdghmV5JpsQVKQVFW7JWlniIl0SRBECCJO7B4JoBZvqY7unuuvLePzK/rKOzsqoyv5rp6Xl+EQgMqmdyqqu6B/O9+b7Pu2vlKzAMFsNUdjDIzo1RwZnXI40dDERERHQAscBwHejLYFBdYOhp0VfdwdCfwbC/RyR22i46jr+nwKBiRMJyvPiQLMkRiTwFDHkQTpq3LxkqMhiSD6lFvTuy4Pj9GQzjFKl2os95trz3UG3qPRkMTndEAhivwFAvGnte6zRyDeN6o1tgaCdmMOQckYhDHpNHJOoZN0gAYZeBJsLnHQRhR5K6DIbwtVxkgWEP2ZDEAgMREREdJCwwXAcuTzGDofcAbWWc2R8mKSxvv7q4E62ojEYkKqYOIRRlMHj+nhZ7FSGS8mshqRBQKmi5RySGFRgK0ciC5wdxB0N5ggyGy1HBbLaSsKayZ0RiT4FhRPFiq2VPfKe9ZMgOhk78WCtpTeVUQx7zdTAIIVAxDTQtL87lkO9HXrKwMq9oK8VBYmjhe6pziwQREREdICwwXAcu92QwqB6RaFh7A+1U6X2uqq+t2kZ0B3u5VgQQHtqqptH3+mRluf6eu+qyrX26GQz5RiSGtdn3HvhlBoMcNRhnRGK7HRbMhoc8hkUK2eovxwvG6WCYtMAgOxjWdrsdDM0phDymfQ4Ny0Ut44pKqWLqaNluXNQr5xzpkOIOhhoLDIM0ZjAQERHRAcQCw3Wgd4uE6lGDqY5IRIcdIabTwfDpJ1bxk7/7MDwF6zXlwaxa7B4kq0U9V0aClFRgMA0NRUPL18GQksFQyrFFYpw1lUD49eL4AUxdG7sIAKQXGExdxOMXgxkMo4pUWy0bCwldEWniDobd5BEJVSGP8nNIzGDIOSIBhAWrlu3F3RcVVR0M0dcAOxj2kiMShs4CAxERER0cLDBcBy63bMxHByfVB/XGFAsM8rAzUyooX1N5brOFD/3Bo/j0E6s4v9XKfb2ksYBaMWw7z8t294Y8AmEOw26OAkP3brXaEYlRayp7NyK4ng9DFygY6joYwusEcQdDccwMhq2mM3EHg6Fr0DUxMCKREPKYN4MhdUTCQT3HiAQQfg20bLf7dawog+HNp5bwwbfegjuPzSq53kGiRyMSGkckiIiI6ABhgeE6sNV0cHi2DGAKWySsaW6RCK83XykoLYw4no+f+fg34tT8s+uN3NeMD2ZGf4EhT4eBZCd0MMTXVzEiMa2QxyGH6r4OBi+AoQkUtOF36AftRAWGmaQCQ3Rt+XVZnCCDYbNpT7SiUioZWk/wZAFtp/ueyC6QvFskCnpyyKPj+eg4fq4MBiDstmlaXjf4U9EWibmKiZ971+1xgYS64g4GjkgQERHRAcK/9V0HttsOjkbhg8q3SCTcrVVFFkNmy2oLDJ99chXfeOkyfvG/vwMAcHatmfuaHbc/SwAI286VbJFwPRQTDmi1Ur4CRjulg6FY0LOHPMrXwkz+46XYV2DwUdC1oQfoJON0MMjtGmEGgx7/fsO0bQ9tx8u0TlHmMJiGhvlKoa9rpdvBoCbkcbBIIgtMtZwjEhXTQMvxul8TijoYaDgZ7qixwEBEREQHCAsM14Gtlo0jc2GB4VrqYOhELe6lgq60eHGpGYZefvedh7FUM5V0MFhyHWGhN4NBXQdD0h3wvB0M7dSQRy3+nCZljTki4XjhFoneEYlxvoa22w5KBS1x7MCMChU7nbAIUTbHW1MpV7lmWacocxhmywWUTaN/REJRyGP8mrn9HR7y6ytvB0PF1NGyXLRSulpILVlYYAcDERERHSQsMBxwlhu2Pa/Uow6GKa6pnEYGQ9nUcwUOJl43usNcMXWcXK6pHZHoKQTUVRUYPD8OQexVKxbUZDAoDnmM118OG5HoCXR0fB+G1g15dMYMeUzqXgDCTASgW2DoDXm0veGfz2ZUdMrTwTBTMlAx9b4RCRnymPT+TULXBHRN7OnwkJ0aeUMeK1FhRP75UGGBYepkYYFbJIiIiOggYYFhH7FcLz6QqHI52iAxXzVRLujKwxKnGfLYtv2og0FTOiIRz5mbBm5ZruHZNRUFBh9C9B8klY1IOMkZDPWSkWtLRcfxIERy+37J0OF4QaYNGx3Xg66JeOxhUO+B3/UCFHTR19UwSlqBIXlEYvwOhoUsBYbo85kpF6J1j92v1Y4TFodUtMEX9L0Fhm4HQ741ldXi4JpKFhimTWOBgYiIiA4gFhj2kX/8h9/E//LxR5VeUxYY5ioFlApa3wo9FZqWGx8krWmMSMgOBoUjEi3bRdEI0/9vWa5iq+XEd7Cz6jgeSoYO0ZMIX1W1RcLzE4sAuUck7HAERSSk2Jej/IQshZ2O46NkaInXBbpFAMv14fo+jAwZDMMLDOF11qO1kWXTGGtNZdzBkCHksdvBEBUYejMYXC93/oJU0LW9GQxRgSlvBkPZ1NG0PY5IXEEyg0HnFgkiIiI6QFhg2EeeuriL5zfyBw72kndm5ythB4P6DAYvPpRNZUSioOfaaJB8XS9uAb/lUA1A/k0SHdfrG48Awg4D2/Nzd6UM3SIRhTwGweRdBgDiNY5JZGZAtgKDl5o5IA+vHcfrbpEYEmKYZLvtDi0wyG6Fv352A0IAdx+bHWtNpSwwZOlgKPV1MBho9Y1I+H25HHmYujZ0RCL3FgnTgO36ccGKHQzTp7ODgYiIiA4gFhj2kdWdTnxgUOVyVGCYqxRQMtUe1IGwRVseylSPd7TjkEe1IxJN20XFDA9kp5ajAkPOMYmO4+85VFejg3TeLgYrZU2l4wWpd+bTtKMOkSQyPyFLQao9osAgiwPbbQdutEVCfn7uiBGJIAiwvmthtpxcCJCFir86s4E7j85ivmqOtaZyq2lDiOTNFKPIAsJs2UDZ1Pu6hCwnufski4Ku7Ql5lH9ezOTOYAg/h0uNqPODBYapY4GBiIiIDiIWGPaJlu1it+PG4XSqxBkMFVN5JwAQjkjMVcJDmfIMBsfvCXlUd+12TwfD0bkyioaWv4Mh4VBdje4q581hsF0/cWOCDPbLWpSSIxJJKsXw8SwhlZbj7+nm6CUPwzttF64fbZGIMxjS3+cnL+xio2HhdTfPJ35cbqPYtVy8+fQSAIyVwbDZsjFXLmQ67MUdDKUCqoMZDK6XuAEki4KRksGgIOQRCDesmLoWh2XS9LDAQERERAcR/xa5T6zthHcOG5YLP0Ow3jBbPQWGsql+RKJhuagVCyjoQnmBoRMdgIsFHbbrK3tdmraHSnT41zURbZLIN5rSSbhTLdvW826SsFwvsYNBHgqz5mqkdTCcWKwCAM6uTf66jBqRmOnpYHA8HwVt/AyGzzy5CiGAt9++kvjx3mDJ7zwVFRjGWVPZdDJtkAC64yQzPWsq5ddq2MGgphsgMYOh40IT+TsOqlFBaaNhMX/hCtEE11QSERHRwcMCwz6xutMBAAQB0LDVjUlcbtkwDQ2lghZukVAYlgiE4wa1YpjUrzyDwZFrKkeH9E2ibbvx+AIA3LJczb1JwnL3HqrlXeU8BQbfD+B4QeKaw3gEI+PXS9seXgg4dagGTQDPrO4CAB57eRsf/cqL4113RIGhoGuomno0ItHfwTAqg+HTT6zi3hvmsFwvDr02EK6nfO2JsMthnALDZtPGQoaAR6Bni0QU8gggXvGpMuQxKYMhLPAZQwM1xxV3MDRsrqi8QmTngooNI0RERET7BQsM+8RqlHoPZG95T/LKdgcrM0UIIaa0RcJDtRgm9Y8T0DeJth2NSBjZAweTNC2v7xB1YrGKc1utXB0S4V37/m+nqoIOBvmaJrXZyzvNrYwFhs6IkMcbFyo4sxYWGD78xefwz//4sbFyNpJei0Gz5ULYweAH0RaJaETCHf4eXNhu49svb+Mdr07uXgC6BYbX3bwYdw4YmoAQ6cWLnY4Td1ZMqtvBYMRfV3JMwnLTx0UmUdC1vjWef/7YRXzy6+dxfL6S+9pxBkPTYv7CFSILDOxgICIiooOEBYZ9Yi3qYACAnba6HIYzq7s4fagOANG6x2mMSIQFBktxd0QnDnnsvyucV9vx4ju2QHjYDYLsnQBAcshjTUEGg+zaSOxgiK7fylg06t2mkeT0Sh1PXwwLDN9+eRt+ALyw0Rp53Y7jjzykzpQL2JEhj5qAHv2TNiLx2SfXAADvTCkwyNdJjkcAgBBiZIdN2x4+LjKK7FCYjbZIyOsB0RYJZSMS3dfnjx45jw9+9BHctFjFb/zofbmv3Q15tDkicYXEaypZYCAiIqIDhAWGfeLidrfAoKqDwfV8PLfRxOloFWNZcYHB8XzYro9q0UDR0JV2MARB0F1TKUckFBUwmpbbd7BWMcrQcby40yK+ruxgyPF+ykNxUpt9JeeWirQ1lQBw60oNL1xqYaNhxetTZUdDmjDYcHSBQWYwGFFuQu8BOslnnlzFicUKbok2fyS57XAdP/uOW/He+4/3PW4aWuqITcv2UMl45z7uYOgZkZDFKstRNyJR6CmSPPziJuYqBXziH70RN0V5GXnIwojrB+xguEIY8khEREQHEQsM+0T/iISaDoZzW23Yro9TUYGhVFAb8ijvzMcjEgozGGzPhx8g3iIBKOxgsPs7GFR0GnTcKY9IJNwFl59DnhGJUsrd6ltX6vD8AH/y6CvxY+NkVXTsvcWWQXJEwvWCeKwhKcSw15nVBu67cT41b0DXBP7nd5zG3ECeQnHECE/LdjNnD8QZDOVCz9hKTweDogO7aXQzGDqOj1pU2FOh93NnB8OVIbMX9Jz5GURERET7CQsM+8TqTicOrlO1qlIG9J1eCUckVG+RiFfkRSGPqkIYAaBjh9fq7WBQEVAZBAGaA4dJWWDI0zmSNCJRzdlhAIR3wAEkbpGoDhxmJ5W2phIICwwA8EdfPw8AWKia4xUYxsgdmCmFIxKO78cFhqQQw15bLRsLGTc9jBqR6Dg+yma2VY9yI8lsuRB3QcQjEo4Xr7HMqzeDISlUNA9ZDAPyb6Sg8RhxBwP/N0xEREQHR77l6aTM2k4Hpw/VsL5rKRuRkIfB3g6GjuMjCILcqfNA9+A8jZDHlhO+BmVTj+/SqhjvsNywM6JSnMKIxMDBzNDD7R15sh3ka5q4prKYvYMhCAK0nPQMhpPLVeiawOOv7OCGhTJOH6qPV2AYMXoBhIfxnY6LesmID1qGLoaGPHYcDy3by7xKMq3DxvV82N7o3Ihh3nPPUSzVTCxUzT25GGEHg6oCg+jrYFAVHgn0dzBwi8SVocUZDFf5iRAREREpxL/a7ANBEGB1x4oLAapCHs+s7uLobCm+Q6963aM8OHdHJNR1R8g7wP0dDPmvLw9+vfP2SsIYneSDZK1YyFUwSstgkAfiLB0SlusjCJB6F7xo6LhpMdxQcPexOZw6VMNzG014Kds2giBILLYMmi0X0LBcdBwPRs+IxLAOhsut8HtiPuMqybQCQyv6usp6sF6sFfHue44B2LvZo+N4CkMeu0W8pMyPPIqGBhkFkLWTgyajs4OBiIiIDiD+zWYf2LVctB0PN8xXUDQ0ZR0MZ9YaOBW1uQPdA6mqVZXNeETCQHFEiN6k5ChHqdDbwZD/+vLgVynuzWDI+rp7fgDb8xMPfLWirmaLREKBQdei1aMZCi+9BZw0t0YbSO46PotTyzXYro/zW8M3ScjsjNFrKsPX/HLbQSEKeTRTMhg2mzYAYL6SbZVkWodNR74WCu7cJ62pVBXy2DtC0nE8ZZ0RQLhpoxoVFjgicWV0RySu8hMhIiIiUoh/tdkH5IrKQzNF1Eth63henh/g2bVGvEEC6CkwKMphiEMezbDAoDLksdNzV1neDbcUdEjEHQwJGQxZRyTk80q6a18tGrkKDHbKmkogfO2zXF92n9SK6Xerb10Jv37uPj6LW6KvpbQxCVkEGtXBMFMOCwVBABjaOB0MUYFhChkMSV8TWVUK3REJ1/Ph+oHSDgY5QtJxkgtaecgCC0ckrgyNHQxERER0APFvNvvA6k64QWJlpoSZsqEk5PHlrTYs1+8rMMTbGBQVGBpRa35tClskWj13lacxIlHtaQOv5hyR6B6qE4IYi0a+LRJyRGLIgb1s6plCHttj3rV/x6tX8MaTi7jnhrl4hCetwGA5w4stvWbL3U4E2cFQMEQcYjhoa5ojEmN2c4xDvp5t2407JlRlJYSvT9TBoDjkEeh+H3CLxJUht0cYXFNJREREBwiHbfeB1aiDYWWmhHop38y+dGZNbpDYW2BQ3sEQbZFQGfLYn8GgcETC6oZHSqahwTQ07GYuMAw/VNeLBi5G728WsjsirYMhS8hjUxZaiumHybuPz+FjH3hD/N/L9SLOpBQY2hkKDIYsMKR0MGy28o5I6Ngekm0in7OKg7VpaCjoAk3bg+UMz8/IojeDYVjmRx6yc4EjEleGbFzQWWAgIiKiA2Tk31CFEL8thFgTQjzW89iCEOLTQogz0b/no8eFEOLXhRDPCiG+JYS4b5pP/qCQHQyH6kXMlAwlIY/yEHhquSeDwVTdwTAY8qg+g6Fs6ko7L5I6GICwENDIWNjpFhiSOximlcEAhNswsnQwyEJLZcJAv1PLtTFHJEZlMPQUGMYZkYgyGOaydjDoGpwhX5/teERCTb21XNDRtj10ouLQsO6TSfVmMKheUwn0FBjYwXBFyK97FhiIiIjoIBnnFth/AvDdA4/9HIDPBkFwGsBno/8GgHcBOB398wEAv6HmaR5MTcvFnz92EV86s4560UC1aGCmVMCughGJi9sd1IsGZnvu+JYMOWqgphBwqWHD1DUUow4ApSGPvR0MCp+3zB4YPETVStkLAfJ5Jd35DUckshdGrJQtEkB4KMyWwZBcaBnlxFIF57faQz8uiy2j7oLPJIxIhAfo4SMSchQnC9MQQztsZAeIqjv3lairZBodDPL1mUYGgyywMIPhypBNSbqClcFERERE+8XIv/kGQfBFAJsDD78bwEeiH38EwHt6Hv/dIPQVAHNCiCOqnuxB86uffgYf/Ogj+PLZS3jjLYsAgHrJUDIi0bBc1Ev9h8fufLiaDoYvnVnH/SfmIYRA0dCn08FQ0GHoGgxNxHeEc113yGhALUdWQtqd6nqOwgWQvqYSkIfZDB0M8TaNyQ6TFdNI7SRJGxfp1T8iITsYwowBzw/gD6zC3GrZmMs4HgGkhzyqHJEAwgN6y/Z6ikPqQh49P4DnB8q3SADd7wmOSFwZmpAhjywwEBER0cGRtSd4JQiCCwAQBMEFIcSh6PFjAM71/Lzz0WMXsj/Fg+tyy8HKTBGf+dBbUS+Fh6eZckFJyGOj46I2WGBQmMHwwkYTZ9Ya+KHX3QggPUQvi512f6dBqaArGZGQd+5l2r9ULWYv7MSH6oSDZNU00HbCjQJGhn109ogRiWrGkMesmxPKBR1tx0MQBBAJd17bKeMivUoFPf6akSF3hagI8C/+5HE8u9boy37YatlYyLhBAkj/+mwr3CIBdMdWuttF1IU8AuHXm+sH6rdIFBjyeCXpGgsMREREdPCo3iKR9DelxJ5nIcQHhBAPCyEeXl9fV/w0rg2W66FqGnFxAQizADqOn/uw3rDcPSsIVWYZfObJVQDAg69eAYA45DEIklvcJ/XQC5u4baUeP+dSQVMyItEeMiJRLxrx+MSkrNQtEuHv08zYNTLqLnilmK2DoZkxg6Fs6vD8YOgoQ8cZ/679TPR1X5AdDIaGpu3iv3zjZTy73p/zsNW0M+cvAFGBYeiIhOICQyEckZjktRiHDPqUhTBVhQtJfq1yROLKYIGBiIiIDqKsf0NdlaMP0b/XosfPA7ih5+cdB/BK0gWCIPhwEAT3B0Fw//LycsancW2zXH/PnWk51pA3h2HXclEr9beUqywwfPqJVdx+uI4bFioAunfYVWyS6DgevvbCJt58eil+rGjo8QrEPJq2h4Iu9rzutZKKkMe9BzN5gM86ljKqg6FS0DNtkch6qB61iUTetR/nLvhsOXxtjJ4MhnObbexa7p6g062Wg4VcIxLDR3jG3XwxrrK9mJXLAAAgAElEQVQZhjxa8eiMugwGoPtng/qQR2Mq16VkLDAQERHRQZT1b75/AuD90Y/fD+CPex7/H6JtEm8AsC1HKWgv2/X3zO3L8Lu8OQyNjjM8gyHnQX2raePhF7fwjletxI/JjAAVQY8PvbAJ2/X7CgylgqYsgyHprn1VQQZDcoEhfCxLEQAAbM+DromhhxDZwTCYWTBK03ajlYqT/RFQHlGkGjeDAejmMBS0bgaDZLl+3+8RZjBMb0RCE+rCGOMMhimEPALAzpQ6GOTXqqptGpROZwYDERERHUDjrKn8GIC/AXCbEOK8EOInAPwygAeFEGcAPBj9NwD8GYDnADwL4D8C+B+n8qwPCMv19hw+5LhE7gKD5aI+OCKhaBvD559Zg+cH8XgE0NPBoKDA8FdnNlDQBV5/80L8WKmgxwe2PJqWm3jXvp6nwJAyItEtMGQckXD81ANqVa4enbD40ra9+NdOomxq8a8fdl2g+7WWRhYYZAeDPEAPjgI4no/djov5HAWGckGH7fn4h7/3MD731Frfx1pR0SkpUyILGbwpi22qOgJkAWZ6HQwMebySNNnBwC0SREREdICMvFUVBMEPDfnQdyX83ADAT+V9UtcLy/X35CTMRF0HeYMedzt7MxgMXUNBF7k7GM6uNSEEcNex2fixosICw5fObOC+G+f77qSWCrqSDoaW4yUWGGpR9oXj+RPf1U8LeZSfQ9YCg+3tHaPpv36U8WAld2YMM+nPl0YFhXai93+cEQnZrRNnMET/fvCOFfx/37qAnY6D5XoRl1vh98JCNfuIxN974Dg2Ghb+7NsX8PALW3jkFx6MP9Z2XKXBhnOVAjabdvwaqepgkF8HsvCi6rrS225bxtn1BpbrRaXXpWQ3zFfwd197HK8/uTD6JxMRERFdI1SHPNIEwrvTA2GDcQdD9gKD5wdo2d6eLRJAeFDPu6ayYbmomUZ8Bw5Q18Gw0bDwxIUdfGfPeAQQHqZUhDy2LHfoiASATCslux0Mew+p5bwjEq4f39FP0i1gTHb9lp3cyTGK/ByHFUzSii2D4hGJ6M78Us3EfKWA770r3Gwrcxgut2wAyDUicWS2jF96z5340TfchEtNG25PVkjb9pTetb91pYa24+HM6i4AtWsqgZ4Cg+JOg1OH6vhX3383W/avENPQ8CvvfQ2Oz1eu9lMhIiIiUoYFhqvIcvfusq/HHQzZRyRkq/9gBwMQ3oG2cnYCNKy9KzBNPTzs5A15/PLZSwCAN5/uD/5UtaYybIdP6GCIPp8sYxKdlDvVMpk/a1HHcv3UkEB5/Uk7JJq2h0rC18coozMYwoKINsYhNR6RiDIYfvItJ/GZD70Vh2bCO+jye2CzGRYY8oxISIu18BpbrW4Bb9jXRFavOjIDAHj03GUACjsYogJDw4pGJBSvqSQiIiIiyosFhqvIcvfO18u28cEU/UnIQ/JgyCOgpoOhabnxHX9JVQfDoy9dRqmg4c6jM32Ph2sqp1dgkHkVDcudeNVmx/VgGsmH6koh6ozIsUUirYOhnLWDwXIzZjCkF0w6zt6i2TCDGQxFQ8dirRivr5TfA7IYMJ9jREJarIbFi0tNK36s7XhKRyROH6pDE8C3X94GoHCLxMCIhOqQRyIiIiKivPg31KsoqcAguw7yhDzKdYv10t4DWbmg585gaFh78x3MeItEvms//so2bj88A2PgUF0uGJlzDHq1bDfxzr0smDQ6Ln7q97+Of/LJb419Tcvxh4Yadg/k2d5Py/VgptyprvZkMEyiNWSbxigjMxic8ccNZCFhMPMiLrJ1ZIFBXQfDQjW8xmbDjh9rK+5gKJs6TixV469XdSMSMuRRFhjYwUBERERE+wsLDFeR5Xh7Dh+6JlAvGrlCHmULddKIRMnU0c6ZZZBUYFCxpjIIAjxxYQd3DHQvAMANC2Vc3Onk7r5o2R4qCQez3hGJR17cwtm15tjX7Dje0MOeHGHI2sGQVITq1Rsi+eWzG/j3n3sWa7udkdfNm8GQVmAY9+A7E49I9Hd+zAxsUlFZYFiKRiQ2mt0CQ0txBgPQHZMo6MNXjE7KjNdUTmeLBBERERFRXiwwXEXDDo/1kpGrg0H+2sSQR0NDJ2/IY8KGChUjEuc229jtuLjj6Oyej50+VEcQAGfXG5mvD4SHycHxDqA7IrHRsLG6Y6HljP/6px2q5Zx85i0S7nhbJFq2i9/4/Fn8m794Gm/65b/Eb//V86nXbdpeXPyYhOzIGDau0na8sVv377lhDm84uYDTK/W+x0uFcNtJN+TRQamgKRlj6HYwDI5ITN7NkeZVh8PPSVX3ApAQ8qh4iwQRERERUV78G2pOH/y9R/A7f51+mEsSBEFKgaGQa4uEPIDUh4wCNDO260uJGQx6/gLD46+EM+tJHQynV2oAgGfXwgLDv/yvT+B3/+aFiX+Plp28klAWY566sBP9vPELAh3HH3qo1jQRjqVkHpEY0cHQ0yFxYbuDB07M49aVOj7+0Eup1x22TWOUeERiaAaDP/ad9cOzJXz8A2+MD/2SEAIzpUJ8p36zaSvpXgDCTRSaAC71dTC4iV0tedx+OPwaVlkE6BYY2MFARERERPsTCww5vHy5jT9//CL+5Z8+gS88sz7Rr3W8MEgwadVc3g6GeItEQgdDvWRk2pQweP3BAEl5kMqzReLxV3agawK3Ha7v+diJxSoMTeDM2i4cz8dHv/oivjjha267PhwvSAw3lAWTJy+GBYZJRjE6bvpYQLWo5wp5TDukVuWIhOXiwuU27jg6i7uPz8WbF5IEQYCW42UKeVQ5IpFmplzATjv8Or3cUldg0DWBhaqJjYEMBpUhjwDwqqhIprIIYBrhqIX8/mXIIxERERHtN/wbag4PPb8JADhUL+JnPvYNvHK5PfavlWGIyasNDTRzFAFkyGNSBkOtmK94EQQBGpa7p70+DnnMke/w+CvbOLVcSzyUmYaGE0tVnFlt4OmLu7Bdf+KxA1k0SGqHlwf1J17J0sHgpa4MLJvZN3fYXvqIhOwoWN2x0LQ9HJ0rYbFqYqvlwPeTt2F0HB9BgExrKnVNwDS04QUGd/wOhjQzJaMn5NFRskFCWqia2JziFgkAODpbQr1kTKmDISowcE0lEREREe0zLDDk8NXnN1EvGvjtH38A220Hn3t6bexfK8MQkw4gtWK+LoNdy4UQ3UNzr3qpEBcgsug4PvwAqBX7D3ymgg6Gx17ZwR3H9o5HSKcP1fDsWgPfPH8ZwOTBiTJXIenOva4JVE09Xok4UQeD46euIqwUjInXSEqW66WuqZQjGDKb4shsGfNVE54fDA0KlSMyWTcnlAv60ByPju0N3agxibCDIXz+qzsdLNeKua8pLVaLuBR1MDhe2NWiekRCCIFXHZlR2sHQW2Aw9eS1qEREREREV5PaZLPrzEMvbOL+E/M4Pl8BMNmhtFtgSMgDyFlgaHRc1Ewj8QBSLxmwPR+Wu3eDxTh24w0V/b9WXitrBsPabgfru1ZiwKN0+lANf/H4xbhzZNJcA7nKcdjd6jCfIvw5tufD9fw96zKTdBwPy/XhB+BKUc8V8jjqfaoW9Tib4uhcCV7UuXCpaWMuYbSgFb0OWTIYgPRVp6PGRcY1UyrgwnYHvh9gdaeDI3Pl3NeUFmomnow6VeTnobqDAQD++fe+Olcn0qDeDAbmLxARERHRfsQOhowuNSw8u9bAAzcvxG3qw5L1k1jRz0268x2OSGTf9NCwnMT8BQBxdkLWMQn5vPaEPObcIvHkhV0AwKuPDO9gOLVShx8An3piFcD4YwwNy8W/+Yun8Oxa+HskdXYAezMrWmO+n9aIsYCK2S0w/Oqnn8H/+adPjHVdYPQWCSA8HL8cjeccjjoYAGBrSA6D7GDIksEgf7+kVaeW62GzYe/J58hipmxgp+3gUtOG4wU4MlvKfU1pqWpiI9oi0R2bUX9gv/PYLF5/clHZ9WQni+MFSrdTEBERERGpwgJDRg+9sAUAeP3NCyjoApoYHnyXJH1EQkfTdhEEyTP0ozSsvWsku9cOH886JjEs3yHeIpFxRELOxB9OOUiePhRukpCH9XE7Rj721Zfw7z93Fh/6w28CGD4aILdujNqUMCjMYEhbJWnEz/mvzqzjLyccpRlVYJAFE00AK/UiFqMCw6UhBQY5rpElgwEIgwuTXptPPb6KXcvF37rjcKbr9pJbJC5sR4WTGXUFhoVqETsdty/HI+u4yJVUMLodSQx4JCIiIqL9iH9Lzehrz2+iaGi469gchAjn4DsTBBzKAkPS4bFaNBAEkwUN9trtuCkdDIX452QRb6gYOJwW9PDwY2XsYGjb4a8rp3QC3LxUhZz6OHWoNtbr4/sBfu8rL+LkUhWyXjPsYC27Mm5d6S9kjDJqc0LYwRC+bjsdF+u71tCfO2jUFgl5fQA4VC/B0LV47eOwTRLy88rcwVDQErt1Pva1l3B8vow3n1rKdN1eM+UCOo6PFy+1AITZEqos1qIOj5bd7WAo7P9psULPuA5HJIiIiIhoP2KBIaOvvXAJ9944FxcISilz6UniEYmEVmd50M06v73bGd3BILMUJjVsBaYQ4XYBuR1jUvIAntaqXirouGmxCgB448lFtB1v6KYE6QvPrOOlzRZ+9sFb8R9+7LW498Y53BxdY5B8beSazHGDGTuOn3pHuXdEYrvtYLfjjjVO4/kBXD8Y2cEgsxSOzIV3+UcVGEZlUYwSjkj0P/8XNpr48tlLeN8DNygJH5yJvr7OrIZjLfJzUyHu8GjYaDv5Ai+vJENjBwMRERER7W/7/7bdPuT7AY7PVXDfTXPxY6WCPlkGw4gtEkB4mD+U4fk1LBdHhxzI8mcwRPP7CQWMoqFlzmCQr92og57MaDg+H97R7rhealjhR/7mBSzXi/hbdxyGaWh4y63LQ3+uLJrcuhIWGMYZkQiCYGSwYcU00IpeN7kZYaNhxeGgSV7YaGK2HHabjC4whL/30eguf6mgo2LqKR0MMoMhe8jjVrO/QPXxh85B1wTee/8Nma45aCb63J+6uAtT17CQEFaZ1WK0keJSz6rKaWQwqCaEgKlrsD2fKyqJiIiIaF9igSEDTRP4zR97bd9jpSFt48OkbZGo9hQYsmh0XNQH1khKssCQNYNhN3pOdcUFhpbtwdBEXxt4kn/xfXegZbv44jPrAMK78cMKDKs7HXzhmXX89NtPjzykA0kdDKPfT9vzEQTpLesVU0fL8dBxvPh9X98dXmDY7Th457/9YhxsOHqLRNTB0JNfMV8xU0Ieo2JOMdshNamY9hePX8RbTi9hRVFWgvw6fWZ1FyuzRaUrGXs7POT7ljaas58UdAHb44gEEREREe1PLDAoUjYny2CQB/GkLRK1vAUGa5wMhmwjEmkdDKaer8Awzl3kcB1kEWUzDNlM6zJY27EQBMCdR4dvpuj1zlcfRkHXMB/dLR+nwCDf87SchLKpIwjQl72QlsOwumPBdn2c2wzzB8bZIgGgb5XjYs0cHvJo5e9g6B2R8PwA5zZbeNed+cMdpZno6/TFzRYeuGlB2XUBYCnKYNho2PGPr4URCQAoGBpgeyNzOYiIiIiIrgYWGBQpD0nWH0ZmFaSNSGRZVen7wXhbJDIWL5qWCyGSD2SmoWXeItFxvIkOefLntpzhn0cneo3Hvdv75tNLePPpJTy33gCAeD4/jczSSPs95EH+wnYnfmy9MbzAcCn62K/94D345rltvC1lrCO8vhyR6HYPLFTNkSGPWe/aD2YwrO504PpB6sjHpOSIRBCozV8AwuKFrglsNq346+haGJEAukGP7GAgIiIiov2IBQZFSgV9okN7+ohE+FiWkMdmNF9fH9LBYBoaioaWOYNht+OiZhoQYm/LumlosCbo4ujVsr2JDrzyQJjWZSDb+Cc9PMqRi0k6GNIOfPL3v7jTU2BI6WCQnQe3Ha7j3fccG/v59nYwLFRMnFltJP78lu2iXNAzjx0MFtPOb4WrJGUuhgqygwFIX12ahaYJLFRNXGrYWKiGeQyVa2CLBNBdB5vU+UREREREdLXxb6mKlCbtYHBGdzBk6TIYtkayV71kYNdyEQQBfuy3vopPPX5x7Os3U8Yv8nQwhCMS4x/yKtGBPu01jw//EwbiyYLAOO/nZissBswMeU2AbrfFxe12/FhqgSHqYFiMDr+jyPd63A6Gpu3FRawsSgUdluvHGzzOb4WjHEoLDOXu63lEUa5Dr8VqOEKStQh1tch1sOxgICIiIqL96Nq4bXcNkIeucVkpGQx51lTKzoRhRQAgzGHY7bjYabv40pkN3LZSxzvvGG9+vmG5ifkLQNiNkWeLRHmCu7LjdBl04vGFyepolTG6IyQ5TnFyuTb05wyOSJiGllpg2GjYEAKYryQHdQ76vnuOol4ycKjnIL5QM9F2PLQTsi1alpu6eWMUeT25wUN2MBydU1dgKBd0GJqA6wc4PKvuutJizcSlhoWW7cLQxFghoPtBPCLBLRJEREREtA9dG3+rvgaUC9qEGQzhQdxM2JpQMXUIka2DQRYY6qXhh9Na0UCj48Q5AFut8QMf0/Id8oU8Tnbo7Y5IpGQwjJGPkKSgayjoYqwCw9n1BgxN4KbF4fkD8rmuRiMSJ5eq8Wt/brO1Z9vDpaaF+YoJY8RGDWllpoT3ve7GvsfkWkfZYdGrZU+WdzGoPNA9cn6rhUP1otK76kKIOIdh2MrVPA7VS3hps4XdjnvNbJAAejMY+Ec3EREREe0//FuqIqWCHocKjsNyw7WMSYdIIQRqpjHdEYmOi43okLvdTm6lH3b9oQUGQ4OVa0Ri/IOebPFPHZFI6RIZJcwZGP36n11r4qbFSup6TXmYlx0MtyzXsL5rIQgCvO/DX8GvfOrpvp9/qWFjMVqlmJVcxZi0qrJle0O7UMYRFxiiAs65zbbS8QhJjp2ozmAAgO+56wg2Gjb+7NsXr5nxCCDaIoHRq0uJiIiIiK4GFhgUmXiLhOOntmVXi0amEYlGJz3kEYg6GKxugWGSDoam5Q6d3w9DHifffAHIEYkJtkhEoXzNlNd8nA0PQ69vGmN1MDy73sAtKeMR8loAcHG7g1JBw7H5MtZ3LVzc6eDly21sDXQZbDQsLNbUFBiSVlU2bTdXB0NJjkhEr+/5yy2lGySkmXIBhiawNGYWxSTefvsh3LRYwUbDumZWVAKAGWcw8I9uIiIiItp/+LdURYoDwXejWK6fusu+WtQzralsWGGxIL2DIcxg2IhyAC4ntNEPvX7HRa2YPH6xWDWx0Rj/Wr0mbdvvBjEOL8LIgk+WefWKqaM1oljieD5evNTELYdGFRjC339t18JMqYDlWhGW6+PLz17qe57SpYaNxVq+Q7UsMGw292Y9tCxVIxI+XM/Hhcsd3LAwjQ6GAlZmSpm3XaTRNIH3v/EEAEwULnq1cU0lEREREe1nLDAoIg9d4wY9Wq6X2uYsuwwm1YiKEtWUQ1M4IuHExYDLE2cwJD/v4/NlbDSs+M72JJLCCNOYhgZDS89J6LgeNNFN3p9E2RzdkXJuswXHC8boYAg/L88PMFsuYLkeFg/+8qm18HkOrPbcaFhYyjkiITdQbDb3vrdN2039+hild0RiddeC6wdT6WB49z1H8WNvvEn5daX33n8ctaIxUbjo1cYMBiIiIiLaz66dW3f7nPwLf8cZ76BsuX5qNkDWEYlx1u7VS2HxQm4yuNx2EAQBhEg/iAdBEBYYhoxfyEPm+a02To24qz+oPeGIBBB+julbJHyUCvrIzytJxdRTAyQB4Ox6EwBwy3J1xLW6r9dMT4Hhi8+sA+hmGQCA7frY6bi5OxjqJQO6JhI7GNq2h0qONZVlM/y6bTsezm+qX1Epvff+G5Rfs1e9VMD/9f13Qc/w9XG1sIOBiIiIiPYzFhgU6b2rOz/Gz7dHjkgY2Gy2Jn4ebXv0Xfta0YAfAOe2wut7foBdy8VMyuYJIDyw+wGGBgTKQ+b5rdZEBQbb9eH6wcRt+5URXQYdx8t8ECubBrZHjI6cHWNFJdDttnD9ADMlIy4w7EYFpN6Oj80oMyFvBoOmCcxXzKl0MJR6tkjIMZtpdDBcCd/3mqNX+ylMxDTC72uGPBIRERHRfsQ+W0XkoWvc8YAwgyGlyyDjiIQMS0y7ay9XWD6/0Ywf2x5jTGI3yneoDy0wdDsYJiGLBJPOwldMIzUnoeP4KKUUcVKvXUjvjgCAs2sNLNeLmC2nF2aAbkfJbDnMYJCE6P+akcGbSzk7GABgoVrYs0Vis2mj4/jxCsgsyj1f6/K9nsYqSdpLdjBk2YxCRERERDRt/FuqIqWB1X2jhBkM6kck2mPctZcjDhe2O/G2icFNBklk6OSwDoZD9SIKupi8wCDHOiYdkRixSrLjZu9gqIwYvwDCDoZR4xGS7BiYKRcwWy7EHSa3H57p+5qRWx+WcnYwAGHBZvDr8Y8eOQ8AePDVKzmu2/1aP7/VwspMkXfUr5B4RIKvNxERERHtQywwKFI2J+xgcMbJYJg8LFHmDqTpXWEpRxnGWVUpCx7DNlRomsCxuTLOR6MXz603xurCkFkHk45IVIvpRQDL8VDMPCKhpxaLgiDA2fXmyIBHqdLTwaBpAku1sBhzzw1zfWMel6IOhkUFqxnLBa3vcwiCAB976CW89qZ53LpSz3Hd7ojEi5ems6KSkjHkkYiIiIj2M/4tVRHZij+4EWCYUSMStaIO2/Nhj7mVQgrv2qe/rb0jDqejAsM4qyp3O+kFBgA4Nl/Gy5fbcDwf7/53f41//l8eG3nd9hjBlEnKpoHmyJDHjCMSI0IeN5s2ttvOyPwFSX5uMufi0EwJtx+ewUzZQKfnPb7UUJPBAIRdNVZPgeFrz2/iufUm3vdAvvBEWcBqWi4ef2Ubdx6dyXU9Gp8Zdb4w5JGIiIiI9iMWGBSJ28ZHtNVL44xIAJh4TKIzxrrHek+Y46m4wDBBB8OQLRIAcHyugvNbbTx9cRe7los//daFeFvFMHEGw4SHpsqoEYkMmymksmmEoZZ+kPjxtehzOjI7XvZAd0Qi/PcvvfsO/Kvvvwvlgg7b9eFFv89G04JpaKlFnHGVC/1dGB9/6BzqJQPfe3e+YMOioUEI4LFXttG0Pbzmhrm8T5XGxC0SRERERLSfscCgSBzy6E4S8ji6wDBp0GPH9UbOZ/cWCGSL/zgFBvlchmUwAOEmifVdC1957hIAwPZ8/MFDL6VeV445ZNkikbqmMmcGAzA8U0Nue1iojtdp0BvyCAB3H5/Dncdm4+dnRV83lxo2lqpmptWag0oDBYZPPX4R33PXkYk7RQYJIVAu6Pjq85sAws+FroxC9GdG2p8dRERERERXC/+WqkjvXPo4LMeHmXJIqGUsMLTH6mDoFghWZkqoF42xQh53O+lbJADg+EK4qvJPv3UBS7Ui3nxqCR/9yktwveGjHtlHJEatqcw3IgFgaAFj0gJDZWBEQhr8urnUsLCoYIMEEBYY5MiO5wdo2h6OzJaVXLtc0HG55aBeNHByabygS8rPZAcDEREREe1jLDAoIgMbO2NmJoQjEmkZDBlHJJz0bAeg264PAMv1IuaqBWy3R3cw7EQZDGkrDmXg36PnLuPeG+fw/u84gYs7HXz6idWhvybziMSoDgZndDfHMKMKRpMXGLpbJBJ/n6jIstGwleQvyGt3ouffLeKo+ZaXB9y7b5iFpuXvtqDxyD9nso7+EBERERFNEwsMisi/8HfGzmCY0oiEM7qDQddEXMBYqJqYK5tjdTBstx0UDS317unx+e4d8ntumMPbbz8EU9fw6PnLQ39Nd0RistwBuYZxWE5Cx/Ezb5GQz6XlJL/+ssAwl1Js6b9e/4iEFBemok6DSw1LyQYJINw0IEd24iLOhK9x2rUB4DUcj7iivv/e4/jVv/ea3GMuRERERETTwAKDInEGw5hrKm03fU1lt4NhslWV4V370W9rrWhgvlJAQdcwVymMlcGw03b2HJAHHaqXUIiS7u+9cQ66JlAtpo8yZB2RkIf2YbkXljN6o8aoa6eNSMxVCjD08a4/akSi43gIggAbTRtLCjsYHC+A4/nx16WqO9/yvWLA45V1eLaE77/v+NV+GkREREREiVhgUKSgazA0MTQUsJfr+XD9IHWUoVrsrgKcRHuMDgYgzGFYimb95yrmWGsqt9tO6ngEEHZHHJ0rQ4hu+F/FNFI7MeQmiCwjEsDwIkCekMdRW0E2WzYWKuMXAo4vVLBYNfds4Cj3hEl2nHAt6dwE103TW/Rqqy4wRNe5hwUGIiIiIiKKqOmXJgD9oXpp7CjwMG1EQnYw7GbIYBjnUL1cL8Yhk/OVAi6PkcGwPUYHAwCcXKqiVjTiz6Fa1NFK6cRo2R4MTaSGXiaJxxgsD6j1f8zzAzhekDmDYWQHQ8MeO38BAH74dTfi79x7DPpAXkFvEWDXCt+DtDWgkyjJDg/Hjz8PVRkMZdPA4ZkSVmbGW9NJREREREQHHwsMCg2uBRzGckYXGKoZQh6DIEB7zBGJX3nva6BFqxDnymHIo+cHew7AvXY6DpbH2HDwyz9wN5yerREV00DTTulgGLPrYlBcBEjISZAjAflHJIZnMNy4WBn7er25F716wyTlOEytqKbLQH4ddByvJ0hTzbf8P3zLyXirCBEREREREcACg1JlU4M1ToEh2jSRFkBY0DUUDW2iAoO8bmmMw/rRuW4Y41zFRBCEayjT2vO32w5OLdeGflwavKtdKxqp2x7atpepdb+c0mXQjgsMWUckjPi5Jdls2bj3xvzjAaWe7SONaEtHVVEQY9nsdkd0MuZcDPOmU0tKrkNERERERAcHMxgUKhljdjBEoYRpHQxAeDB/+MUtvPPXvoDPP7028rrxXfsJxwLmq+HYw9aIoMedtjvWiMSgiqmnFkpathd3DEx03ZRVkrk7GArDixdBEGCraWN+ghGJYUo920dkToWqEYneFZiqMy7cs6oAABx1SURBVBiIiIiIiIgGscCgUNnUx9oiEXcwjCgEVIsGHnlxC8+sNvDfvn1x5HVl/sOkd6nnyuFBOS3o0fcD7HRGhzwmqRZHj0hk6TSIMxgSCwxRN0fekMeE93On48L1AywqKDD0FgFkESZplCKLbr5DTwYDCwxERERERDQlHJFQaOwOhjEyGADg7uOzOH2ohsttB996eXvkddsZ79rPVcKiQdqqyl3LRRAgcwdDWshjO2MHQzklJ0EWekYVcYYpGho0kXztzWZYiJkk5HGY3pDHxpQKDL0dDCVFIY9ERERERESDeNpQqGSOt0VCjkiM2prw7374PvzWjz+AN55cxDOruyO7IzoZ2+Bl7sLl9vAOhp1oy8RMafICQ21EB0PLduNuhElUUlZJytc4a+aAEAIV00Db3vt+ygKDyhGJ9lQKDOHXV9v20IleoyyvMxERERER0ThYYFCoZGgTjkiM9/LfdXwWnh/giQs7qT9P3qVOC49MMh91MKztWEN/zrYsMGTqYDDQcXy4XnLxpT3mas291w1/TTNtRGLC1Ze9yqaOdsKGCllgUDEioUfrOXtHJKqKCgyy0GS5PR0MOV4PIiIiIiKiNDxtKDRuBoM9xhaJXncfnwUAfOvc5dSfl7WDYbZcwO2H6/jEI+fh+0Hiz9mJVhJmGZGoFuU6yeTXpm272UIe400PaWsqs2cOVEw9Md9hS3YwpGzcmETJ0GA5PhqWCyGQ6bVIvG5PCGbL9mDqGgyd3/JERERERDQdPG0opHqLhHR4poTlenFkDkPWQ7UQAh986y04s9bAXz6VvK0iHpEoZxlliMIYh+QwtJ1sGQymocHQxFRCHoEwY+H8VnvP45dkB0NNTYGhbOpoR1skaqYBIYSa6/bkO3QcL/NGDSIiIiIionHkOnEIIX5WCPG4EOIxIcTHhBAlIcTNQoivCiHOCCH+QAih5hR2DZAHxVEmHZEQQuDuY7P49vlRBYZoi0SGQ/X33n0Ex+bK+M0vnE38+E477BLI08EwLIehZWfbIgGEr3lygSHfmkoAeNMtS3j03OV4PETaatkoGpqyjQzlgo6O66HRcZWNRwC9mzD8KEiT+QtERERERDQ9mU9fQohjAH4GwP1BENwJQAfwPgD/GsCvBUFwGsAWgJ9Q8USvBcWCho47RsijM9mIBBDmMDy73sCLl5r4yJdfSBzFkMWNLIdqQ9fwk995Mx5+cQvfeGlrz8fzZDBUo4OtzBgYlHWLBCDHGBJGJNz8IxJvu20Znh/gr85s9D1+qWFjsWoq6zQoFcLCVNN2USupKwLIApbcIpE18JKIiIiIiGgceXumDQBlIYQBoALgAoC3A/hE9PGPAHhPzt/jmlEu6LBdH96QHANp0hEJAHjN8TkEAfDgr34Rv/gnj+OLz6zv+TnyUJ31zvqDdxwGADx1cXfPx7bbDjQB1LJse5AdDAkjEo7nw/WDzAWGQ/USLiaEU3ZDHrMfqu+5YQ4zJQNfeKZ/bGSrZSvZICGVCnq0RcJT2sEghECpoMGKCgx5ii1ERERERESjZC4wBEHwMoBfAfASwsLCNoBHAFwOgkDeUj4P4FjSrxdCfEAI8bAQ4uH19b2H5WtRb2p/mklHJIDwsFsrGrj1cA0AsNPZe9dedjBMukVCmou6EwZHAsLfz8FMuQBNm/yuvexgSOo0aNn5Og1uXqri+Y3Gnsc78UaN7DU0Q9fwnaeX8YVn1hEE3aLRpaaNBaUFhijkseOgVlRbBJDFi7btocwMBiIiIiIimqI8IxLzAN4N4GYARwFUAbwr4acm3s4PguDDQRDcHwTB/cvLy1mfxr7Sm9qfRh6qzQkKDPNVE4/8wjvwn/7+6wAkjxvIwkXWDoaKqcPQRGKBYbvtYKY0+XgE0F272Eh4zvK1ypoPcPNSFee32nuKOpbjQYjJijhJ3nrbMlZ3rL6ujs2mpbTAUI6KAE3LQ01hB4O8docjEkREREREdAXkOX29A8DzQRCsB0HgAPgkgO8AMBeNTADAcQCv5HyO14w4tX9EDsNDL2zi5FIVxQnb94uGHh9Ahx3WNQEU9GzZAEIIzJYLyR0MbSdTwCPQs6YyofAit25kHZE4uVxFEAAvXWr1Pd5xfRQNLXdOwltvDYtfn3+622Wz1XTUFhii9aYNS23IIyCLF37UwcCQRyIiIiIimp48BYaXALxBCFER4SnuuwA8AeBzAP5u9HPeD+CP8z3Fa4dsx0/rYNjpOPjKc5fw4KtXsv0e0WrGpAJDx/FQLui5DtXDCgzbbSfTikqg252Q1HUhxybyjEgAwHMbzb7HO4oyB1ZmSjg6W8Kza+EYhuWGhYCFisIRCUNmMLjKOxiKUQdDhx0MREREREQ0ZXkyGL6KMMzx6wC+HV3rwwD+DwAfEkI8C2ARwG8peJ7XhLiDIWHDg/SFp9fheAHekbHAIIRAtWgkHtZVBPnNlAvYScxgcLN3MJgpHQx2vg6GE1GB4fmkAkOOgMdeyzMlrO12AIQbJABgsVZUcm0AKEUdDM0pFBjKBQ0dx0OLGQxERERERDRluU4zQRD8IoBfHHj4OQCvy3Pda1VpjALDZ55cxULVxH03zmf+fWpFY0gHg5+7wDBbLmCrZe95fDvHiIShaygaWmJRRHYeZC0wzJQKWKqZeH69v8DQdvxM6zqTLNeKOL8VjmCs7YYbKw7V1RUYygUd220Hrh8oH5GQKzDbUXcLERERERHRtPCWpkKyBV2uSBzkeD4+99Qa3n77IegZtjFItaKBRsIWiY7r5T5Up45IZAx5BMKgx+bAFolPfv08fv6T38bth+u489hs5muHmySmMyIBAIdmiliPCgurO2Enw8pMScm1gXCLhOOFWahTCXl0ZcgjMxiIiIiIiGh6WGBQSLbkt4d0MDz0/CZ2Om7m/AWpVtp7WAeAjp3/UJ1UYOg4HmzXx0zGDgYg7FBoWd3X5czqLj70h9/EAycW8IcffGOu533zUhXPX5pigaFexKWmDcfzux0MM2o7GCTVBYZSIXzdbddnBwMREREREU0VCwwKlc0o5HFIgeEb5y4DAN50ainX71MtGmhYe3+Pjpu/DX42ymDw/e52UZnJkKfAUDX7iyJyNOKffs+rcnVGAMDNSzWs71rY7XQLI5bKEYloHOJSw8b6TgdCAIsKt0j0FkKmMSKxGY28yK9PIiIiIiKiaeCJQ6GFqjyIWokfX9+1UC8Zue9S14o6Gp29YwxtRR0MfgA0eooBO9HvlTWDAQhXVTZ7iiJbzfDQq2Ldo9wk8cJGd1VlOC6iqoMhHIdY2+1gbdfCUq0IQ1f3rVOaYgdD2dTijhR2MBARERER0TSxwKDQfKUA09BwcbuT+PH1hhXfDc+jVjT6DuuSkpDHSlhE2G51CxjygJqvwNDfwSDvqs8rWPd4clmuqmzEjyndIhG9Z2s7FlZ3OkoDHoGBEYmS4g4GQ0cQNaOoKrgQERERERElYYFBISEEDs+UcHFnSIEhuvud17A1lWHuQP6QRwB9OQw77fD3mslx+B3MYNhq2igX9DgYM48bFyoQon9VZUfhiIQsKKw3LKztWsoLDP0dDGqLAL2vb4Uhj0RERERENEUsMCh2eLaEC0M6GDZ21XUwNGwXQRDg2bVd/PB//Ap2Ow46ClYRJhUYPv3kKnRN4OhcOfN1BzMYNpuOkvEIIDygL9eKuHC5+7qrDHmURaG1HVlgULdBAujPRqgV8+VRDOp9DZjBQERERERE08QTh2KHZ0rDRyR2LSwr6GCoFQ0EAdCyPXz1+U18+ewlPPbyDtoKDtWDBYZvvLSFj33tJfz4d5zItZpxsOtiq2VjvqruMH14toQLO9MpMJiGhvlKARd32thoWFhRuEECGAx5VNvB0HttjkgQEREREdE0scCg2JHZcEQiCIK+xzuOh13LVdLBIDcNNCw3Dkt8fqOJjuPnHjnoLTC4no9/+p8fw6F6ET/74K25rlsp6mja3RGJzaatJH9BCgs77fi/O66PoqIRCSAMenziwi6CAFjOUWhJ0ldgUDzG0DsmwpBHIiIiIiKaJhYYFFuZKcF2fWy1+rc8rO+GmyVUjUgAYYFhsxn+Ps9vNMIOBkNdBsOXzmzgiQs7+Pm//arc2w2qpgHb9eF4PoCwwKBqRAIICztyNMX3A9iuryzkEQjft6cu7ADA1EIeq6YOTRNTuTYAJXkXREREREREw7DAoNiR2fDu9uCYxHpDfYGhabnYbIbXferiLgCglPMQWTF1GJrAdtvBmbXwmm+79VCuawLdrotW1MWwpbqDYbaM3Y6LpuXCcsMihsqRgEP1YnzdqRUYFK+o7L02AFQKDHkkIiIiIqLpYYFBscOywLDT7ns87mBQtEUCABodF5tRp8STF6ICQ8679kIIzJYL2G47eH6jicWqGa+uzKMaFT6algvb9bFruco7GADg4k4HHScsYqjaIgEAyz25C3myKJLIQkjeLpG0awNAiSGPREREREQ0RbylqVhcYNi2+h6XBQYVd79rCRkMG1GHhIo2eFlg2Ni1cPNSNff1AKASdzC4uNwKxwDmFRYYDvd0jlSi10BlB0NvYUjFqtFessuglmMN6DB9WySYwUBERERERFPEAoNiy7UiNIG+wEEgLDAIASV37eVBtGm72GzaMDQB1w9DJVXctZ8pF7ATdTC85dbl3NcDejsYvPi5LqosMERdBRe2OyhGORQqtz0ciq6/UDVh5sy5GCTDKFUHPAIMeSQiIiIioiuHPdOKGbqG5XoxDhyU1hsWFqsmDD3/Sy5XGTY6YYHhjqMz8cdUHCJnywW8fLmNNYUdDNW+3Iiw60JtBoPsYGjHeRS3HZ5J+yUTkZ0nqvMXAKBoaBBiShkMUWHH1DUlX3tERERERETD8MQxBYdny7i4M1Bg2LWUtdbLEYmNho224+G+m+bjjxUVFRieW28CAE6qKjCYsuvCw1a0+UJlBkOpoGO+UsCF7Q6evriLesnA0Vl1WQkynPOQ4vwFIMy9KBd01KcwIiELTirzKIiIiIiIiJJwRGIKjsyUcHa90ffY+q6lZIMEEB4aNQGc22wBAG5bqaNq6mjanpLVjHJVJQDcvKwqgyF8Xi3bxU7HBQDMV/OHR/Y6PFvG6k4HO20Xt63UIYS6lY/T7GAAwg6MY3Nl5deVGQxcUUlERERERNPG25pTcHi2lNjBoKrAIIRAtWjgpajAsFA1cSLqNFBxkJzr2RpxYlFNgaEedV1sNe04mFLliAQQbpJ45XIHT17cwW2H60qvXSsauGmxgjuPqhu76PXJf/Qd+J/efkr5deMCA/MXiIiIiIhoytjBMAWHZ0vY7bhoWC5qRQNBEGC9oa7AAIQH9nNb3QLDzUtVPP7KjpJWeNnBcGyurGwTw3K9iKWaiW+e38ZsuYB6yUBBcSbA4dkSvnRmHY4X4HbFBQYhBL7wv/13CIJA6XWlOcXFFkl+PajcqEFERERERJSEHQxTIDcaXIyCHnc6LmzX71t1mFe1aGB1J1xNOR8VGAA1d6pnogKDqoBHIDygP3BiAV97fhNbLVtp/oJ0eKYExwsLACoDHnupHLu4EkxdgyYQr+4kIiIiIiKaFhYYpkBuNFiNxiTWd8NCgMoOht6NA4tVE286tYSbl6pKfo/ZKRQYAOB1Ny/g5cttfPvlbeXjEUD3dQfCXAoKCyKlgs4MBiIiIiIimjoWGKZAdjDIVZXTKDDIjQO6JjBTKuANJxfxuf/1baiY+adepllgAIDn1ptT6WA4EhUYjsyWMFtRGyB5LSsXdGYwEBERERHR1LHAMAV7OhgaYYFB5QYCufZxvlKApqlt2z+5VMVSzYwLAqrcfngmDnucZoFBdcDjta5U0JnBQEREREREU8eQxykoFXTMVwq4sN0GAKxGnQzL9VLaL5uIHJGYxqjBoZkSHv5nDyq/rq4J3H9iHp97en06GQyzZQgRFjKo6+f/9qtwZE7d1x4REREREVESFhimZGWmhIvbYefC+a0W6iUjHj1QQY5IzE/hoD5ND9y8gM89vT6VwkitaOA//Ohrce+N88qvfS37nruPXO2nQERERERE1wEWGKbkyGwJF3fCDoaXL7dxbK6s9PrVYtjyvniNFRheH41dTOt5v/OOw1O5LhEREREREaVjBsOUHJ4txWsqz2+1cXy+ovT68YjENVZguO/GefzrH7gL77qLhQAiIiIiIqKDhAWGKTk8U8ZGw4bt+nh5q43j82o7GGRY4rXWwSCEwA8+cCPqJW55ICIiIiIiOkhYYJgSudHgzNoudi1XeYFhmiGPRERERERERJNigWFKVqICwyMvbgHAFDIYprfukYiIiIiIiGhSLDBMiexgePiFsMCgOoNhLtpIsVwvKr0uERERERERURYsMEzJysxAB4PiEYkHTizg13/oXrzh5KLS6xIRERERERFlwTWVUzJTMlAxdbx8uY2KqWO+ojbUUNMEvu81R5Vek4iIiIiIiCgrdjBMiRACh6MuhmNzZQghrvIzIiIiIiIiIpoeFhim6HCUw6B6gwQRERERERHRfsMCwxTJAoPq/AUiIiIiIiKi/YYFhimSIxKqN0gQERERERER7TcsMEyRXFV5bI4dDERERERERHSwscAwRSeWqgCAk8vVq/xMiIiIiIiIiKaLBYYpevOpJfzpT78ZdxydvdpPhYiIiIiIiGiqWGCYIiEE7jzG4gIREREREREdfCwwEBEREREREVFuLDAQERERERERUW4sMBARERERERFRbiwwEBEREREREVFuLDAQERERERERUW4sMBARERERERFRbiwwEBEREREREVFuLDAQERERERERUW65CgxCiDkhxCeEEE8JIZ4UQrxRCLEghPi0EOJM9O95VU+WiIiIiIiIiPanvB0M/zeAPw+C4HYArwHwJICfA/DZIAhOA/hs9N9EREREREREdIBlLjAIIWYAvAXAbwFAEAR2EASXAbwbwEein/YRAO/J+ySJiIiIiIiIaH/L08FwEsA6gN8RQnxDCPH/CCGqAFaCILgAANG/Dyl4nkRERERERES0j+UpMBgA7gPwG0EQ3AugiQnGIYQQHxBCPCyEeHh9fT3H0yAiIiIiIiKiqy1PgeE8gPNBEHw1+u9PICw4rAohjgBA9O+1pF8cBMGHgyC4PwiC+5eXl3M8DSIiIiIiIiK62jIXGIIguAjgnBDituih7wLwBIA/AfD+6LH3A/jjXM+QiIiIiIiIiPY9I+ev/2kA/68QwgTwHIC/j7Bo8YdCiJ8A8BKA9+b8PYiIiIiIiIhon8tVYAiC4FEA9yd86LvyXJeIiIiIiIiIri15MhiIiIiIiIiIiACwwEBERERERERECrDAQERERERERES5iSAIrvZzgBBiHcCLU7r8EoCNKV2briy+lwcL38+Dg+/lwcH38mDh+3lw8L08OPheHizX0/t5UxAEy6N+0r4oMEyTEOLhIAiSgijpGsP38mDh+3lw8L08OPheHix8Pw8OvpcHB9/Lg4Xv514ckSAiIiIiIiKi3FhgICIiIiIiIqLcrocCw4ev9hMgZfheHix8Pw8OvpcHB9/Lg4Xv58HB9/Lg4Ht5sPD9HHDgMxiIiIiIiIiIaPquhw4GIiIiIiIiIpqya67AIIT4bSHEmhDisZ7HXiOE+BshxLeFEP9VCDETPX5CCNEWQjwa/fObPb/m80KIp3s+duhqfD7Xu0nez+hjd0cfezz6eCl6/LXRfz8rhPh1IYS4Gp/P9Uzhe8nvzatswj9nf6TnvXpUCOELIe6JPsbvy31A4fvJ782rbML3siCE+Ej0+JNCiH/S82u+O3ovnxVC/NzV+Fyudwrfyxeixx8VQjx8NT4Xmvj9NIUQvxM9/k0hxNt6fg3/v3mVKXwvr9//ZwZBcE39A+AtAO4D8FjPYw8BeGv0438A4JeiH5/o/XkD1/k8gPuv9udzvf8z4ftpAPgWgNdE/70IQI9+/DUAbwQgAPw3AO+62p/b9faPwveS35vX0Hs58OvuAvBcz3/z+3If/KPw/eT35jX0XgL4YQAfj35cAfBC9PciHcBZACcBmAC+CeDVV/tzu97+UfFeRv/9AoClq/35XO//TPh+/hSA34l+fAjAIwC06L/5/82D815et//PvOY6GIIg+CKAzYGHbwPwxejHnwbwA1f0SVFmE76f7wTwrSAIvhn92ktBEHhCiCMAZoIg+Jsg/I7+XQDvmf6zp14q3ssr8kRppBx/zv4QgI8BAL8v9w8V7yftDxO+lwGAqhDCAFAGYAPYAfA6AM8GQfBcEAQ2gI8DePe0nzv1U/Re0j4x4fv5agCfjX7dGoDLAO7n/zf3BxXv5RV4mvvaNVdgGOIxAN8X/fi9AG7o+djNQohvCCG+IIT4zoFf9ztRy8ovsAVpXxn2ft4KIBBC/IUQ4utCiP89evwYgPM9v/589BhdfZO+lxK/N/eftD9npR9E90DK78v9bdL3U+L35v4z7L38BIAmgAsAXgLwK0EQbCL8PjzX8+v5vbl/TPpeAmHx4VNCiEeEEB+4kk+WRhr2fn4TwLuFEIYQ4mYAr40+xv9v7l+TvpfSdfn/zINSYPgHAH5KCPEIgDrCyi4Q/kF8YxAE9wL4EIDfF90Z8B8JguAuAN8Z/fNjV/g503DD3k8DwJsB/Ej0778jhPguhG1kg7geZX+Y9L0E+L25Xw17LwEAQojXA2gFQSBnFvl9ub9N+n4C/N7cr4a9l68D4AE4CuBmAP9YCHES/N7czyZ9LwHgTUEQ3AfgXdGvfcsVfs403LD387cRFg8eBvBvAXwZgAt+b+5nk76XwHX8/0zjaj8BFYIgeAphyzWEELcC+J7ocQuAFf34ESHEWYR3Th8OguDl6PFdIcTvI/zD+3evwtOnAcPeT4TfwF8IgmAj+tifIZyR+iiA4z2XOA7glSv2hGmoDO/lZ/m9uT+lvJfS+9B/t/s8+H25b2V4P8Hvzf0p5b38YQB/HgSBA2BNCPHXCFt3z6H/Dhu/N/eJDO/lc0EQvBL92jUhxH9G+H35xT0Xpysu5XziAvhZ+fOEEF8GcAbAFvj/zX0pw3t5Xf8/80B0MMhUTiGEBuCfAfjN6L+XhRB69OOTAE4DeC5qY1mKHi8A/387d88aRRiFYfh+iChktRN7C1vrVCqCna2ttaL/QfAH2KUSTKrYKQp+BPwVomJlIRE7LWyDx+J9U7jgwjjL7mjuCxaGZXaY4dkzH2feGa7Thr5oAv6UJ7APXEyy2Z9DvAx8qKqvwI8kW3340U3g2RpWXXOGZmltTteCLI++u0F7lhsA63LahuZpbU7Xgiw/A1fTzIAt4CPtZWUXkpxPcpLWTHq++jXXvKFZJpklOdN/M6NdAFmXE7Hg+mSz50WSa8BhVXk+O2FDszzux8x/bgRDksfAFeBskgPgHnA6yZ0+yxNgp09fAu4nOaQNLbtVVd/6H2G/B74BvAEernAz1A3Js6q+J3lAOzkq4GVVvejz3QZ2aS8/etU/WqFlZGltTsPA/Sy0fe1BVX2aW5R1OQFLyvMU1ubaDcxyu0+/ow293qmqt305d2mN3g3gUVW9X9lGCFhOlv3m2dN2LcoJYK+qXq9uK3RkYJ7naPvTn8AXfh8673FzzZaU5bE+Zqa9pFSSJEmSJOnv/RePSEiSJEmSpPWywSBJkiRJkkazwSBJkiRJkkazwSBJkiRJkkazwSBJkiRJkkazwSBJkiRJkkazwSBJkiRJkkazwSBJkiRJkkb7BcB6Auf7i68iAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(18,9))\n", "plt.plot(df.index, df[\"Monthly beer production\"], linestyle=\"-\")\n", "plt.xlabel=('Dates')\n", "plt.ylabel=('Total Production')\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When we look at plot we can sey there is a seasonality in data. That's why we will use SARIMA (Seasonal ARIMA) instead of ARIMA.\n", "\n", "> Seasonal ARIMA, is an extension of ARIMA that explicitly supports univariate time series data with a seasonal component.\n", "> It adds three new hyperparameters to specify the autoregression (AR), differencing (I) and moving average (MA) for the seasonal component of the series, as well as an additional parameter for the period of the seasonality.\n", "\n", "> There are four seasonal elements that are not part of ARIMA that must be configured; they are:
\n", "**P:** Seasonal autoregressive order.
\n", "**D:** Seasonal difference order.
\n", "**Q:** Seasonal moving average order.
\n", "**m:** The number of time steps for a single seasonal period.
" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "a = seasonal_decompose(df[\"Monthly beer production\"], model = \"add\")\n", "a.plot();" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.figure(figsize = (16,7))\n", "a.seasonal.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ARIMA Forecast" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's run auto_arima() function to get best p,d,q,P,D,Q values" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "#auto_arima(df['Monthly beer production'], seasonal=True, m=12,max_p=7, max_d=5,max_q=7, max_P=4, max_D=4,max_Q=4).summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see best arima model chosen by auto_arima() is SARIMAX(2, 1, 1)x(4, 0, 3, 12)\n", "\n", "**For some reason \"pmdarima\" wasn't installed at Kaggle. Thats's why I couldn't use \"auto_arima()\" here. But you can see same output below where \"arima_model\" defined.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's split the data into train and test set" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "train_data = df[:len(df)-12]\n", "test_data = df[len(df)-12:]" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Statespace Model Results
Dep. Variable: Monthly beer production No. Observations: 464
Model: SARIMAX(2, 1, 1)x(4, 0, 3, 12) Log Likelihood -1708.067
Date: Sat, 22 Jun 2019 AIC 3438.135
Time: 09:28:59 BIC 3483.650
Sample: 01-01-1956 HQIC 3456.053
- 08-01-1994
Covariance Type: opg
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
coef std err z P>|z| [0.025 0.975]
ar.L1 -0.1259 0.039 -3.270 0.001 -0.201 -0.050
ar.L2 -0.1737 0.047 -3.722 0.000 -0.265 -0.082
ma.L1 -0.8436 0.028 -30.241 0.000 -0.898 -0.789
ar.S.L12 1.7500 0.107 16.291 0.000 1.539 1.961
ar.S.L24 -1.5989 0.201 -7.954 0.000 -1.993 -1.205
ar.S.L36 0.7794 0.156 4.982 0.000 0.473 1.086
ar.S.L48 0.0683 0.058 1.174 0.241 -0.046 0.182
ma.S.L12 -1.5499 0.118 -13.122 0.000 -1.781 -1.318
ma.S.L24 1.3816 0.193 7.161 0.000 1.003 1.760
ma.S.L36 -0.6545 0.112 -5.851 0.000 -0.874 -0.435
sigma2 84.5434 4.921 17.181 0.000 74.899 94.188
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Ljung-Box (Q): 92.69 Jarque-Bera (JB): 41.12
Prob(Q): 0.00 Prob(JB): 0.00
Heteroskedasticity (H): 4.06 Skew: -0.30
Prob(H) (two-sided): 0.00 Kurtosis: 4.33


Warnings:
[1] Covariance matrix calculated using the outer product of gradients (complex-step)." ], "text/plain": [ "\n", "\"\"\"\n", " Statespace Model Results \n", "==========================================================================================\n", "Dep. Variable: Monthly beer production No. Observations: 464\n", "Model: SARIMAX(2, 1, 1)x(4, 0, 3, 12) Log Likelihood -1708.067\n", "Date: Sat, 22 Jun 2019 AIC 3438.135\n", "Time: 09:28:59 BIC 3483.650\n", "Sample: 01-01-1956 HQIC 3456.053\n", " - 08-01-1994 \n", "Covariance Type: opg \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "ar.L1 -0.1259 0.039 -3.270 0.001 -0.201 -0.050\n", "ar.L2 -0.1737 0.047 -3.722 0.000 -0.265 -0.082\n", "ma.L1 -0.8436 0.028 -30.241 0.000 -0.898 -0.789\n", "ar.S.L12 1.7500 0.107 16.291 0.000 1.539 1.961\n", "ar.S.L24 -1.5989 0.201 -7.954 0.000 -1.993 -1.205\n", "ar.S.L36 0.7794 0.156 4.982 0.000 0.473 1.086\n", "ar.S.L48 0.0683 0.058 1.174 0.241 -0.046 0.182\n", "ma.S.L12 -1.5499 0.118 -13.122 0.000 -1.781 -1.318\n", "ma.S.L24 1.3816 0.193 7.161 0.000 1.003 1.760\n", "ma.S.L36 -0.6545 0.112 -5.851 0.000 -0.874 -0.435\n", "sigma2 84.5434 4.921 17.181 0.000 74.899 94.188\n", "===================================================================================\n", "Ljung-Box (Q): 92.69 Jarque-Bera (JB): 41.12\n", "Prob(Q): 0.00 Prob(JB): 0.00\n", "Heteroskedasticity (H): 4.06 Skew: -0.30\n", "Prob(H) (two-sided): 0.00 Kurtosis: 4.33\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n", "\"\"\"" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "arima_model = SARIMAX(train_data['Monthly beer production'], order = (2,1,1), seasonal_order = (4,0,3,12))\n", "arima_result = arima_model.fit()\n", "arima_result.summary()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1994-09-01 133.943955\n", "1994-10-01 157.814451\n", "1994-11-01 181.865146\n", "1994-12-01 183.541331\n", "1995-01-01 144.902539\n", "1995-02-01 136.857294\n", "1995-03-01 151.136283\n", "1995-04-01 133.214691\n", "1995-05-01 137.923012\n", "1995-06-01 120.564847\n", "1995-07-01 128.439705\n", "1995-08-01 138.819035\n", "Freq: MS, Name: ARIMA Predictions, dtype: float64" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "arima_pred = arima_result.predict(start = len(train_data), end = len(df)-1, typ=\"levels\").rename(\"ARIMA Predictions\")\n", "arima_pred" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "test_data['Monthly beer production'].plot(figsize = (16,5), legend=True)\n", "arima_pred.plot(legend = True);" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MSE Error: 66.11050409066426\n", "RMSE Error: 8.13083661689646\n", "Mean: 136.39537815126045\n" ] } ], "source": [ "arima_rmse_error = rmse(test_data['Monthly beer production'], arima_pred)\n", "arima_mse_error = arima_rmse_error**2\n", "mean_value = df['Monthly beer production'].mean()\n", "\n", "print(f'MSE Error: {arima_mse_error}\\nRMSE Error: {arima_rmse_error}\\nMean: {mean_value}')" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "test_data['ARIMA_Predictions'] = arima_pred" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## LSTM Forecast" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we'll scale our train and test data with MinMaxScaler" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "from sklearn.preprocessing import MinMaxScaler\n", "scaler = MinMaxScaler()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "scaler.fit(train_data)\n", "scaled_train_data = scaler.transform(train_data)\n", "scaled_test_data = scaler.transform(test_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before creating LSTM model we should create a Time Series Generator object." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using TensorFlow backend.\n" ] } ], "source": [ "from keras.preprocessing.sequence import TimeseriesGenerator\n", "\n", "n_input = 12\n", "n_features= 1\n", "generator = TimeseriesGenerator(scaled_train_data, scaled_train_data, length=n_input, batch_size=1)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "lstm_1 (LSTM) (None, 200) 161600 \n", "_________________________________________________________________\n", "dense_1 (Dense) (None, 1) 201 \n", "=================================================================\n", "Total params: 161,801\n", "Trainable params: 161,801\n", "Non-trainable params: 0\n", "_________________________________________________________________\n" ] } ], "source": [ "from keras.models import Sequential\n", "from keras.layers import Dense\n", "from keras.layers import LSTM\n", "\n", "lstm_model = Sequential()\n", "lstm_model.add(LSTM(200, activation='relu', input_shape=(n_input, n_features)))\n", "lstm_model.add(Dense(1))\n", "lstm_model.compile(optimizer='adam', loss='mse')\n", "\n", "lstm_model.summary()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 1/20\n", "452/452 [==============================] - 7s 15ms/step - loss: 0.0254\n", "Epoch 2/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0155\n", "Epoch 3/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0102\n", "Epoch 4/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0085\n", "Epoch 5/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0085\n", "Epoch 6/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0070\n", "Epoch 7/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0073\n", "Epoch 8/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0080\n", "Epoch 9/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0074\n", "Epoch 10/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0077\n", "Epoch 11/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0072\n", "Epoch 12/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0070\n", "Epoch 13/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0066\n", "Epoch 14/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0064\n", "Epoch 15/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0067\n", "Epoch 16/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0064\n", "Epoch 17/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0072\n", "Epoch 18/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0064\n", "Epoch 19/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0066\n", "Epoch 20/20\n", "452/452 [==============================] - 6s 13ms/step - loss: 0.0064\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lstm_model.fit_generator(generator,epochs=20)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "losses_lstm = lstm_model.history.history['loss']\n", "plt.figure(figsize=(12,4))\n", "plt.xticks(np.arange(0,21,1))\n", "plt.plot(range(len(losses_lstm)),losses_lstm);" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "lstm_predictions_scaled = list()\n", "\n", "batch = scaled_train_data[-n_input:]\n", "current_batch = batch.reshape((1, n_input, n_features))\n", "\n", "for i in range(len(test_data)): \n", " lstm_pred = lstm_model.predict(current_batch)[0]\n", " lstm_predictions_scaled.append(lstm_pred) \n", " current_batch = np.append(current_batch[:,1:,:],[[lstm_pred]],axis=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you know we scaled our data that's why we have to inverse it to see true predictions." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[array([0.46223804], dtype=float32),\n", " array([0.5305156], dtype=float32),\n", " array([0.6375334], dtype=float32),\n", " array([0.63648665], dtype=float32),\n", " array([0.47737443], dtype=float32),\n", " array([0.44606268], dtype=float32),\n", " array([0.5007994], dtype=float32),\n", " array([0.37402794], dtype=float32),\n", " array([0.3733862], dtype=float32),\n", " array([0.35970235], dtype=float32),\n", " array([0.3764071], dtype=float32),\n", " array([0.41531807], dtype=float32)]" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lstm_predictions_scaled" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "lstm_predictions = scaler.inverse_transform(lstm_predictions_scaled)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[135.52242066],\n", " [145.96888851],\n", " [162.34261422],\n", " [162.18245738],\n", " [137.83828847],\n", " [133.04759066],\n", " [141.42231088],\n", " [122.02627446],\n", " [121.92808925],\n", " [119.83445935],\n", " [122.39028429],\n", " [128.34366499]])" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lstm_predictions" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "test_data['LSTM_Predictions'] = lstm_predictions" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Monthly beer productionARIMA_PredictionsLSTM_Predictions
Month
1994-09-01143.0133.943955135.522421
1994-10-01160.0157.814451145.968889
1994-11-01190.0181.865146162.342614
1994-12-01182.0183.541331162.182457
1995-01-01138.0144.902539137.838288
1995-02-01136.0136.857294133.047591
1995-03-01152.0151.136283141.422311
1995-04-01127.0133.214691122.026274
1995-05-01151.0137.923012121.928089
1995-06-01130.0120.564847119.834459
1995-07-01119.0128.439705122.390284
1995-08-01153.0138.819035128.343665
\n", "
" ], "text/plain": [ " Monthly beer production ... LSTM_Predictions\n", "Month ... \n", "1994-09-01 143.0 ... 135.522421\n", "1994-10-01 160.0 ... 145.968889\n", "1994-11-01 190.0 ... 162.342614\n", "1994-12-01 182.0 ... 162.182457\n", "1995-01-01 138.0 ... 137.838288\n", "1995-02-01 136.0 ... 133.047591\n", "1995-03-01 152.0 ... 141.422311\n", "1995-04-01 127.0 ... 122.026274\n", "1995-05-01 151.0 ... 121.928089\n", "1995-06-01 130.0 ... 119.834459\n", "1995-07-01 119.0 ... 122.390284\n", "1995-08-01 153.0 ... 128.343665\n", "\n", "[12 rows x 3 columns]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "test_data" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "test_data['Monthly beer production'].plot(figsize = (16,5), legend=True)\n", "test_data['LSTM_Predictions'].plot(legend = True);" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MSE Error: 260.3136404650557\n", "RMSE Error: 16.134238143310508\n", "Mean: 136.39537815126045\n" ] } ], "source": [ "lstm_rmse_error = rmse(test_data['Monthly beer production'], test_data[\"LSTM_Predictions\"])\n", "lstm_mse_error = lstm_rmse_error**2\n", "mean_value = df['Monthly beer production'].mean()\n", "\n", "print(f'MSE Error: {lstm_mse_error}\\nRMSE Error: {lstm_rmse_error}\\nMean: {mean_value}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prophet Forecast" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "DatetimeIndex: 476 entries, 1956-01-01 to 1995-08-01\n", "Freq: MS\n", "Data columns (total 1 columns):\n", "Monthly beer production 476 non-null float64\n", "dtypes: float64(1)\n", "memory usage: 7.4 KB\n" ] } ], "source": [ "df.info()" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "df_pr = df.copy()\n", "df_pr = df.reset_index()" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "df_pr.columns = ['ds','y'] # To use prophet column names should be like that" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "train_data_pr = df_pr.iloc[:len(df)-12]\n", "test_data_pr = df_pr.iloc[len(df)-12:]" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "from fbprophet import Prophet" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "m = Prophet()\n", "m.fit(train_data_pr)\n", "future = m.make_future_dataframe(periods=12,freq='MS')\n", "prophet_pred = m.predict(future)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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dstrendyhat_loweryhat_uppertrend_lowertrend_upperadditive_termsadditive_terms_loweradditive_terms_upperyearlyyearly_loweryearly_uppermultiplicative_termsmultiplicative_terms_lowermultiplicative_terms_upperyhat
4711995-04-01151.068031130.656517155.694446151.026965151.151344-7.935845-7.935845-7.935845-7.935845-7.935845-7.9358450.00.00.0143.132187
4721995-05-01151.003711126.369051152.227375150.946272151.116984-11.400874-11.400874-11.400874-11.400874-11.400874-11.4008740.00.00.0139.602837
4731995-06-01150.937247114.754073139.419418150.853556151.073215-23.933819-23.933819-23.933819-23.933819-23.933819-23.9338190.00.00.0127.003428
4741995-07-01150.872927122.169338147.501829150.766473151.042924-15.749936-15.749936-15.749936-15.749936-15.749936-15.7499360.00.00.0135.122992
4751995-08-01150.806464128.744212153.006680150.680162151.005109-9.223559-9.223559-9.223559-9.223559-9.223559-9.2235590.00.00.0141.582905
\n", "
" ], "text/plain": [ " ds trend ... multiplicative_terms_upper yhat\n", "471 1995-04-01 151.068031 ... 0.0 143.132187\n", "472 1995-05-01 151.003711 ... 0.0 139.602837\n", "473 1995-06-01 150.937247 ... 0.0 127.003428\n", "474 1995-07-01 150.872927 ... 0.0 135.122992\n", "475 1995-08-01 150.806464 ... 0.0 141.582905\n", "\n", "[5 rows x 16 columns]" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "prophet_pred.tail()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "prophet_pred = pd.DataFrame({\"Date\" : prophet_pred[-12:]['ds'], \"Pred\" : prophet_pred[-12:][\"yhat\"]})" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "prophet_pred = prophet_pred.set_index(\"Date\")" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "prophet_pred.index.freq = \"MS\"" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Pred
Date
1994-09-01145.014244
1994-10-01166.010984
1994-11-01173.651126
1994-12-01185.899777
1995-01-01155.190582
1995-02-01146.743233
1995-03-01158.839055
1995-04-01143.132187
1995-05-01139.602837
1995-06-01127.003428
1995-07-01135.122992
1995-08-01141.582905
\n", "
" ], "text/plain": [ " Pred\n", "Date \n", "1994-09-01 145.014244\n", "1994-10-01 166.010984\n", "1994-11-01 173.651126\n", "1994-12-01 185.899777\n", "1995-01-01 155.190582\n", "1995-02-01 146.743233\n", "1995-03-01 158.839055\n", "1995-04-01 143.132187\n", "1995-05-01 139.602837\n", "1995-06-01 127.003428\n", "1995-07-01 135.122992\n", "1995-08-01 141.582905" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "prophet_pred" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "test_data[\"Prophet_Predictions\"] = prophet_pred['Pred'].values" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "import seaborn as sns" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(16,5))\n", "ax = sns.lineplot(x= test_data.index, y=test_data[\"Monthly beer production\"])\n", "sns.lineplot(x=test_data.index, y = test_data[\"Prophet_Predictions\"]);" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MSE Error: 130.81766824441812\n", "RMSE Error: 11.437555169021836\n", "Mean: 136.39537815126045\n" ] } ], "source": [ "prophet_rmse_error = rmse(test_data['Monthly beer production'], test_data[\"Prophet_Predictions\"])\n", "prophet_mse_error = prophet_rmse_error**2\n", "mean_value = df['Monthly beer production'].mean()\n", "\n", "print(f'MSE Error: {prophet_mse_error}\\nRMSE Error: {prophet_rmse_error}\\nMean: {mean_value}')" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "rmse_errors = [arima_rmse_error, lstm_rmse_error, prophet_rmse_error]\n", "mse_errors = [arima_mse_error, lstm_mse_error, prophet_mse_error]\n", "errors = pd.DataFrame({\"Models\" : [\"ARIMA\", \"LSTM\", \"Prophet\"],\"RMSE Errors\" : rmse_errors, \"MSE Errors\" : mse_errors})" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(16,9))\n", "plt.plot_date(test_data.index, test_data[\"Monthly beer production\"], linestyle=\"-\")\n", "plt.plot_date(test_data.index, test_data[\"ARIMA_Predictions\"], linestyle=\"-.\")\n", "plt.plot_date(test_data.index, test_data[\"LSTM_Predictions\"], linestyle=\"--\")\n", "plt.plot_date(test_data.index, test_data[\"Prophet_Predictions\"], linestyle=\":\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean: 148.41666666666666\n" ] }, { "data": { "text/html": [ "
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ModelsRMSE ErrorsMSE Errors
0ARIMA8.13083766.110504
1LSTM16.134238260.313640
2Prophet11.437555130.817668
\n", "
" ], "text/plain": [ " Models RMSE Errors MSE Errors\n", "0 ARIMA 8.130837 66.110504\n", "1 LSTM 16.134238 260.313640\n", "2 Prophet 11.437555 130.817668" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(f\"Mean: {test_data['Monthly beer production'].mean()}\")\n", "errors" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Monthly beer productionARIMA_PredictionsLSTM_PredictionsProphet_Predictions
Month
1994-09-01143.0133.943955135.522421145.014244
1994-10-01160.0157.814451145.968889166.010984
1994-11-01190.0181.865146162.342614173.651126
1994-12-01182.0183.541331162.182457185.899777
1995-01-01138.0144.902539137.838288155.190582
1995-02-01136.0136.857294133.047591146.743233
1995-03-01152.0151.136283141.422311158.839055
1995-04-01127.0133.214691122.026274143.132187
1995-05-01151.0137.923012121.928089139.602837
1995-06-01130.0120.564847119.834459127.003428
1995-07-01119.0128.439705122.390284135.122992
1995-08-01153.0138.819035128.343665141.582905
\n", "
" ], "text/plain": [ " Monthly beer production ... Prophet_Predictions\n", "Month ... \n", "1994-09-01 143.0 ... 145.014244\n", "1994-10-01 160.0 ... 166.010984\n", "1994-11-01 190.0 ... 173.651126\n", "1994-12-01 182.0 ... 185.899777\n", "1995-01-01 138.0 ... 155.190582\n", "1995-02-01 136.0 ... 146.743233\n", "1995-03-01 152.0 ... 158.839055\n", "1995-04-01 127.0 ... 143.132187\n", "1995-05-01 151.0 ... 139.602837\n", "1995-06-01 130.0 ... 127.003428\n", "1995-07-01 119.0 ... 135.122992\n", "1995-08-01 153.0 ... 141.582905\n", "\n", "[12 rows x 4 columns]" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "test_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Don't forget they are just quick and basic predictions so you can improve these models with tuning and according to your data and business knowledge.\n", "\n", "
\n", "\n", "Thanks!" ] } ], "metadata": { "hide_input": false, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.6" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 1 }