Unverified Commit 24c6e07d authored by Simon Bowly's avatar Simon Bowly
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Week 3 regression notebook for ads1002.

Small fix to week 2 notebook.
parent c3c92e21
%% Cell type:markdown id:7ccf8d05 tags: %% Cell type:markdown id:7ccf8d05 tags:
# Measuring Errors and Fitting Models # Measuring Errors and Fitting Models
* Topic: Supervised machine learning * Topic: Supervised machine learning
* Unit: ADS1002 * Unit: ADS1002
* Level: Beginner * Level: Beginner
* Authors: Simon Bowly * Authors: Simon Bowly
* Version: 3.1 * Version: 3.14
Required files (download these from the Gitlab site [here](https://gitlab.erc.monash.edu.au/bads/data-challenges-resources/-/tree/main/Machine-Learning/Supervised-Methods) into the same directory as the notebook on your computer): Required files (download these from the Gitlab site [here](https://gitlab.erc.monash.edu.au/bads/data-challenges-resources/-/tree/main/Machine-Learning/Supervised-Methods) into the same directory as the notebook on your computer):
* [who-health-data.csv](https://gitlab.erc.monash.edu.au/bads/data-challenges-resources/-/tree/main/Machine-Learning/Supervised-Methods/who-health-data.csv) * [who-health-data.csv](https://gitlab.erc.monash.edu.au/bads/data-challenges-resources/-/tree/main/Machine-Learning/Supervised-Methods/who-health-data.csv)
* [wisconsin-cancer-data.csv](https://gitlab.erc.monash.edu.au/bads/data-challenges-resources/-/tree/main/Machine-Learning/Supervised-Methods/kaggle-wisconsin-cancer.csv) * [wisconsin-cancer-data.csv](https://gitlab.erc.monash.edu.au/bads/data-challenges-resources/-/tree/main/Machine-Learning/Supervised-Methods/kaggle-wisconsin-cancer.csv)
The objective of this notebook is to help you understand some of the terminology, computations and methods behind supervised training of predictive machine learning models. Some of this content will be familiar from the last 3 weeks of semester one where you looked at regression and classification models. Here we take a step back to better understand the concepts behind the modelling methods we will focus on this semester. We'll also review these concepts throughout the semester as we explore further machine learning algorithm types. The objective of this notebook is to help you understand some of the terminology, computations and methods behind supervised training of predictive machine learning models. Some of this content will be familiar from the last 3 weeks of semester one where you looked at regression and classification models. Here we take a step back to better understand the concepts behind the modelling methods we will focus on this semester. We'll also review these concepts throughout the semester as we explore further machine learning algorithm types.
%% Cell type:code id:6057e0ae tags: %% Cell type:code id:6057e0ae tags:
``` python ``` python
# Remember these? Our usual package imports for handling data. # Remember these? Our usual package imports for handling data.
import numpy as np import numpy as np
import pandas as pd import pandas as pd
import seaborn as sns import seaborn as sns
# Specialised functions for calculating prediction error rates. # Specialised functions for calculating prediction error rates.
from sklearn.metrics import precision_score from sklearn.metrics import precision_score
``` ```
%% Cell type:markdown id:9afd497a tags: %% Cell type:markdown id:9afd497a tags:
## Supervised Learning ## Supervised Learning
Simply put, **supervised learning** is a process of **training** a machine learning **model** based on a sampled dataset with known inputs and outputs. Two key types of supervised learning models are **regression** and **classification** models. We'll cover both this semester; and you've already seen some in semester one (linear regression and kNN classification). Simply put, **supervised learning** is a process of **training** a machine learning **model** based on a sampled dataset with known inputs and outputs. Two key types of supervised learning models are **regression** and **classification** models. We'll cover both this semester; and you've already seen some in semester one (linear regression and kNN classification).
Let's first look at some examples of datasets used for regression and classification tasks. Let's first look at some examples of datasets used for regression and classification tasks.
### WHO Life Expectancy Tables ### WHO Life Expectancy Tables
The WHO tracks various metrics for countries as they relate to life expectancy, and mortality rates of different populations. This dataset was originally found here https://www.kaggle.com/kumarajarshi/life-expectancy-who/. Here we'll consider just one input (education level), and one output (adult life expectancy). With this simple dataset we could build a model to predict average life expectancy based on education levels within a country. This is a regression task; the output variable is a continuous measure. The WHO tracks various metrics for countries as they relate to life expectancy, and mortality rates of different populations. This dataset was originally found here https://www.kaggle.com/kumarajarshi/life-expectancy-who/. Here we'll consider just one input (education level), and one output (adult life expectancy). With this simple dataset we could build a model to predict average life expectancy based on education levels within a country. This is a regression task; the output variable is a continuous measure.
%% Cell type:code id:969a166a tags: %% Cell type:code id:969a166a tags:
``` python ``` python
# Read the dataset into a dataframe. # Read the dataset into a dataframe.
who_data_2015 = ( who_data_2015 = (
pd.read_csv("who-health-data.csv") # Read in the csv data. pd.read_csv("who-health-data.csv") # Read in the csv data.
.rename(columns=lambda c: c.strip()) # Clean up column names. .rename(columns=lambda c: c.strip()) # Clean up column names.
.query("Year == 2015") # Restrict the dataset to records from 2015. .query("Year == 2015") # Restrict the dataset to records from 2015.
) )
# Plot our output vs input variable. # Plot our output vs input variable.
sns.relplot( sns.relplot(
data=who_data_2015, data=who_data_2015,
x="Schooling", x="Schooling",
y="Life expectancy", y="Life expectancy",
); );
``` ```
%%%% Output: display_data %%%% Output: display_data
![](data:image/png;base64,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) 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)
%% Cell type:markdown id:069e0a8a tags: %% Cell type:markdown id:069e0a8a tags:
### Wisconsin Breast Cancer Dataset ### Wisconsin Breast Cancer Dataset
This dataset measures various properties of breast cancer biopsy results, along with a diagnosis of whether the tumour being tested is malignant or benign. The dataset was originally found here https://archive.ics.uci.edu/ml/datasets/Breast+Cancer+Wisconsin+%28Diagnostic%29. This dataset measures various properties of breast cancer biopsy results, along with a diagnosis of whether the tumour being tested is malignant or benign. The dataset was originally found here https://archive.ics.uci.edu/ml/datasets/Breast+Cancer+Wisconsin+%28Diagnostic%29.
There are many features here, but we'll consider just two: radius (size of the tissue sample) and texture (variation in colour across the surface). The diagnosis is a binary state (malignant/benign or postive/negative) so this is a classification dataset. There are many features here, but we'll consider just two: radius (size of the tissue sample) and texture (variation in colour across the surface). The diagnosis is a binary state (malignant/benign or postive/negative) so this is a classification dataset.
%% Cell type:code id:581e0329 tags: %% Cell type:code id:581e0329 tags:
``` python ``` python
# Read dataset into a dataframe. # Read dataset into a dataframe.
wisconsin_cancer_biopsies = ( wisconsin_cancer_biopsies = (
pd.read_csv("kaggle-wisconsin-cancer.csv") pd.read_csv("kaggle-wisconsin-cancer.csv")
# This tidies up the naming of results (M -> malignant, B -> benign) # This tidies up the naming of results (M -> malignant, B -> benign)
.assign(diagnosis=lambda df: df['diagnosis'] .assign(diagnosis=lambda df: df['diagnosis']
.map({"M": "malignant", "B": "benign"}) .map({"M": "malignant", "B": "benign"})
.astype('category') .astype('category')
) )
) )
# Show the true diagnosis as a function of two variables. # Show the true diagnosis as a function of two variables.
sns.relplot( sns.relplot(
data=wisconsin_cancer_biopsies, data=wisconsin_cancer_biopsies,
x="radius_mean", x="radius_mean",
y="texture_mean", y="texture_mean",
hue="diagnosis", hue="diagnosis",
); );
``` ```
%%%% Output: display_data %%%% Output: display_data
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) 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ubxhr48SHI/FE+PrwJ9nwP13wH3o77uQ64eUP4kJ6do0LxO0El1SgcCPd1p4PGEuzlSrC3ar/U7VRk28SwldJMKNnbN/NRKH7HKEFUOJAY4sWzF6Xhak3E8fMw8p9L0wn3VdFhtyOOUAqjOwls9BSK3xlqyVThgItBx3npkaRH+1Fe10yojxvRvVWY/3sjIAHSLoetH9vGokYpMwKFog9QgtjLlNU2kV/ZgJergdhAT4f9v56ivK6J3QU1lNY2ERvgQf9wn6MW6ut0goRgLxKO4ATWZDKTXVpHRX0zUX7uxAQqr9HjwsUDpvxZlktkLYGo0ZB8Fni2++Cr8iBnFeStk9Z2cePAx6FBjEKhOEFUlmkvsiu/irs+2UxWSR1uRh1/PncgFwyLxN2lZ+9LqhpMvLg4k0AvV6obTeiEICPWn8n9Q7pcW2ixaDSazLy/JpdnftyDRQMfdwNvXp3ByPjAHnoH3UB9OZjqwSsU9Ma+nk3naayCb+6E3d/axgZdALNelAk1itMZlWXay6gIsZeoaTTx5292klVSB0CjycIfv97BgHAfhsX69+hrZxbVEOHvzj8X7qXZLF1sfNwNvHvtyE6/dl1TC2uyy/hgdS7uLnqGx/oT5e/BwfJ6qhtaeOCLrXx5+ziCvE6yxBtzC2T/Aj8+AtWH5fLk2LsgIK7z1yjZK71VhQ7CBkNgUo9N14HSffZiCLDzS/keIof13jwUit8BShB7mJKaRppbLJgtGhvbFcu3crC8vscFscVsYcW+0jYxBKhuaGH5vpJOv/aq/aXc/MHGtsc/7SzkoWn9+cfCPQAcLG+gvK755BPEwm3w8cWgWd/7hjdBM8OMf3UuUszfCu/PkpEagGcQXP0dhA7suTm3x2zq2rhCoThuVJZpD9FoauG7rfmc++JKpjy3nHd/y+EPUxIdjgvx6XkBCfNxo6Ku2WG8tKapU+c3mcy8sSLbbsyiQVZJHeG+shA8IciDQE9Hl5WK+mZ+3FHI3Z9u5uWl+9hbVHMc7+AEKNljE8NWtnwINYWdO3/TezYxBKgrhd3fdd/8jkVgEoQOth8LS5PjZfth32JZu9hU13tzUihOU1SE2ENszZP7ha28vSqH2yclkhTsyX7rsum1Y+MYGO7T43OJC/Lk4hHRbM2rsht3ZuTtDCHAqHe8d9LrwKJpBHq68MyFaQQ6iQ7nbcjjyR92tz1+b3UuX9w6hrjeSsJx83Uc8wrrnKOLxezoFQq9WyPoFQwXvg2b34d9iyD5bBh2NZTslq2fmmvlcePugfH3g3vP/z0pFKcrShB7iK2HKh3G5m/K44PrR3G4sgFfDyMpIV54udmW7YqrG9lXXIsGJAd7EerbPTZcQgimp4Zhtmi8tjwbN4OO+85O6fRyqYtBzy0TE/gtq6xtzKgXzEqL4LyhkUT5eTh1sMmvbOCFJfvsxkpqmtidX917ghiWBuFDocB6cyIETP9n5xrp6vQw7CrZVqk9g87r9mkeleAUOOsJOOMhcPGSUepHF9nEEGDVf6RYxikvU4XieFGC2EMEO4mWov09iPRzJyXMMTswu6SWOz7axO5CuaSYFOzFa1cNJzHEq1vmE+DpytVj4pg5OBy9TuDr0QUTaWB0QiAf3ziKr7YcxsvVwOy0CNKi/I5aNqJpGi0Wi8O4ubkBVr0ATTWQeCZEDgdD1+bTafyi4JIPoGALNFTJ+r7wtM6fnzRVlkWsfF4W0U9+BOLG98xcj4ZOB67Wv5vGSulf2pGa/F6dkkJxuqEEsYcYFutPYrBnW1apUS944Ox+eDppzwSy432rGALsL6llwbZ87j4rpVvnFXCcSS+uRj1jk4IYmxTU6XPCfd25ZWKiXZTo42ZgQPUqWP4XObDiWbjqa0iYdFzz6hR+0fLnePAKgQn3Q9qlMro8Ger/PIOlqBdstR/3i+uT6SgUpwudEkQhxFggrv3xmqa930NzOi2IDfTkvetHsuNwFfXNZvqFeR91v3DdAcdO9b9llXH3WT05y55FpxNcMTqGCD83Plufx4Bwby5LESR+e6PtIE2DFc9D9GgwnqSdGoQA36i+noUNdz+Y9QJ8fg1U5sr90HOegtBBfT0zheKU5piCKIT4AEgEtgBm67AGKEE8BlH+Hp3uQzh1YChL9xTbjc0YHN4T0+pVAjxcuGREDHOHRaHXCcSSJ6Cp2v6gxipZCtFXmM1ySfJUaoAcMRRuXASVh2TiUECifA8KheK46UyEmAEM1E4FS5tTmDNSgrlweBTzN+WhaTA7PYKzBnSuIa/ZonGovB6zRSMqwB1XQ98bQ2cW1fDlpjzWZpdz7pBwpqWGyZuD5Kmw6t/Y9Zcacwe49IH1W325tEvb8I5cUh1xE0Rl9P48ukpDJSCk645XaF/PRqE4bTimdZsQ4gvgD5qmFfTOlBw5XazbjkVDcwu5ZfWAXHJ1dzm2sJXXNfHhmlxe+SWLZrOFC4ZGcu/UlE5Hpj1BQVUDl7y2moPlDW1js4aE8/fzUymoqKehqpTYosUE7P0UxtwGyefIZcDeZv1b8P19tscGN7hh0cnbX7ChUvZKXPk86F1g0sOQeBa4nkQ+ss11UFcCbn598296enEKLVmcHnQmQgwCdgkh1gFtldyaps3usVn9TnF3MdC/i3WJG3IqeH6RLWll/qbDJAZ7cfvkTtqL1ZfLaM2z+3xI9xXV2okhwHfbCjhzQCj3fb4Fiwb9wgby0sVfkRLRsy49R6S2BFY8Zz/W0gj5m05eQTywDJb+DeqKZY3k51fDVV9B4pS+npmkcCf8/CfIXiot7mb8C2LG9PWsFIpO0xlBfLynJ6E4flbtL3UY+3rLYa4eE2tX4+hAU41sTPvLU/LLdeID0H8WeJy4QDkrxdAJyC6txWJdkNhbWMMrv+bwzIU+fbPEK3TOrdt0J2nidcUhKMuGpDPBN1o2Ed4xH3Z8eXIIYl0ZfHkTFO+Ujwu3y1rJm5dDoKNDk0JxMnLM//s1TVveGxNRHB8poY41jUOi/I7a2gmA3N9gfrtsz2/vkkXfqRec+JxCvBgY7sOuAlvyzNxhUazcZy/eyzNLqKo3EeLTB4LoGQiTHoGvbrGNuflCxElomN1QAQsfkDcwrQy+ULaC8uqc21CPU3XQJoatNNVAebYSRMUpQ2eyTEcDLwEDABdAD9RpmqY8ok4CxicF0T/Miz2F0rXE38PIdePiMDixWrNj+xeOYxvehoFzTrhbe4iPG69cMZSle0rYnFvBlAEhhHq7ccVba+2OGxkbgI97H0Zk/c+Fy7+AnfPBJxoGzu550+6GCijeDY3VEJTUuc4ZJXvtxRBkdDjpj9Kd5kg0VkNtkRR6r84laB03Ll5yD7al0X7cbJIdR/QnaeStULSjM3+lLwOXAl8gM06vBrq3Wlxx3MQGefLudSPZU1iDyWwhOdS7c7ZozurqfKNPWAxbiQ/y4obxXjA+HpBdP+YOi2T+psMAhHi7cvfUZNyMffhF6eoNKWfLn96gtki2odoxXz528YLLPoH4iUc/r8WJCbumQfRIiDiC607hdvj+ATi0BvxiZd1iwqSeKy0JSICzHocfH7aNDZgNG96Sf2sn676sQtGOzmSZbtA0LUMIsU3TtCHWsc2apg3tlRny+8ky7VXyt8K7M2x+mAY3uGYBRI/osZesaTSxv7iWBpOZuEBPIvwc/U9PazJ/ho8vsh8LGyKFJHbckY0JqvPh7WmyCL+VqFFwxefOMznry+HdWVC8wzZmcIWbf4WQ/if6Lo5M8V7Yu0A2Yja4Qf4W2LMALnynW5bif4eoLNNepjO35/VCCBdgixDiGaAA1Tbq1CciDW74GQ6tl0XxURld8/g8DrzdjAyN6aOs0pOBWictp0p2w4Hl4Opz5JsRnwi47FNY8yrkrIB+MyDjuiOXNVQdthdDkFFmRXbPCqKbt5xjXYn9uPtp9m9uscibE4sJfGNOXoclRZfpjCBehRTAO4F7gWhgbk9OStFLhA5Sdl+9hakRjE5qQ+MmQt4GCO5/9Og8dCDMfB6aauWe4NFcaVy95U9Th96T7gHHN/fO4hMB5z4PX1xtM14YeJ4swThdqK+ATe/CsqfB3ASpF0rzd//Yvp6Zohs4ZqSnaVouMnQP1zTtr5qm3adp2v6en5pCcRpRuhfWvwnj7gajdak4PF22l8pdBR6dME3XG2VZzLEs2gLiYPoz9mMZN0BIDycMAaRMg5t+gQvehCu/ghnPgmfnDeFPevLWweLHZfKQpsnktC0f9/WsFN1EZ7JMZwHPIjNM44UQ6cATqjBfoegCNYWyr2JtEYy6TSYvle2XpQrJ53T/cvWgC2Srq/IDMsM0dDC49UJiuMFF+qxG9FqKQe/SsTcmwPbPYdSt3VLDq+hbOluYPxJYBqBp2hYhRHwPzkmhOP3wjZIiWJ4trddACtXIm2HEzd1fFmF0k30mI4d373V/7wQmO46Fp/WNF6+i2+lMcoxJ07SqDmPK6FvRc1jM0rfTSXPhU5agFDjvNds+okcAXPAWxI7t+RpBRfcRO04udbfi5ieXwXuqwbWiV+lMhLhTCHE5oBdCJAN/AH7r2WkpfrcU75am29lLIXkaZFwrxeRUR2+U7jKRQ6XNmU/E8TctVvQdAXGydrRol9xHDOnfOXMFxSlBZ+oQPYA/Amcjk2t+Av6maVrjUU/sRlQd4u+E2iJ4ZyaUZdrGwtPhyi+71Xz82PMolo4ynsEyklMo+gZVh9jLdMbLtB4piH/s+en0PgWVDRwsr8eChWh/zz5tm/S7p3S/vRgCFGyB8qzeE8TDm+DLW6FsLwQPgDkvnxo9EhUKxQnTmSzTDOBRIK798a2uNacymw9W8Mav2Ww+VEl6tB8j4vwZnxzs1DBb0f3UN7WwPrechdsLCfVx4+zEaAa5+UJjhy1rg2vPT6Y8G/b+CLkrYdBsqMqDrZ/A51fBjUvBJ7zn56BQKPqUzuwhfgT8H7AdOG2yHIprGrnvsy0csDbkLagqZG9hDf4eLkoQj4DFolFQ1YBepyPM98TdOX7ZW8wdH29ue/z2SgNfzHqP/gvOsx005FKwtMjygYAeSm6uKYIvrocC61z2fA+pc2VkmLdBdnJQgqhQnPZ0RhBLNE37tsdn0svklNa3iWEr2aV1lNc399GMHGkymdmYW8FXWw7jYdQzJz2S9Gg/p/0Ge5LmFjPldc18uv4Q/1uehatBzwPnpDAnLQIf9+PLrquqb+b5xfbLozVNLWxqiqP/uf+RlmZhqVKQ3pgirc0ueAP6TeuGd9SBkj02MWxl51eyR2ThdplJqFAoTns6I4iPCSHeBJYAbbb7mqZ92WOz6gXcjM4rTiJPIsPptQfKufrtdW2PP153kM9vGdNrfqBNJjNrD5Tzv+VZNJrMnDkglCFRfqw7UM6fv95JhK87Zw4IPa5rWzRobnFccDBVF8OWx2QRuV+MrTNEUzV8eaM0qA5MOJG35WQyZscxzQIIOPuprmURWixy3zN7mTw/4QxZpN7ZLhNNNZCzCrZ+Ct7hMOQiiOxCj8baEijaLstWAhMhZJBqvaRQdJLO/J9yHdAfMGJbMtWAowqiECIaeB8ItR7/uqZpLwghHgduAlodgB/VNO2Hrk/9xEgI8uKCoZF8uflw29istHBSI317eypOMbVYeGNFtv2YWePHnYW9JoibDlbaCfKmg5U8eE4/Nh+swGTWWLa3mDMTvKF0j8wQ9YuV7ihHaSGVX9nA7oJqWiwWbp6QwJ+/sTWVddHrGOZRAk1V8mfdazDoPNj8oTygqQZqCrpfEIP7ybm37ybR/1zoP1OKYVdaYh3eILuImE3y8TIXuPaHY3cRKd0H+Zugrhxa6qVFWPVh6Zt5/U+da59UWwzf3QN7v5ePdXq49BNIOafz81cofsd0RhBHaJrW7ziu3QLcr2naJiGEN7BRCLHI+ty/NU179jiu2W14uRl4eHp/pg4MZWd+NSmhXoyI8yfc7+TIMtWEhtlJYbrZfHyeCEXVDezKr6G6wURiiBcDwn3QH2PpdcG2fIexZZklZMQGsDq7jLhAD1j/Oix+TD6pM8BF78GAmU6vl1tWxy0fbGhrZjxtUCjPXDiELzYcIszbyLVxlaSufsR2Qk2hvcen0R28ji8iPSq+kXD5Z9KTMmelFOGB5x2fYfOm921iCGBuhq0fH10QS/bCezOloIGsWZz6BPz0qGyldHBN5wSxcLtNDEFGvt/fBxG/nH7F/5omI/F9i2Q9YPI50pVHRcOKE6Azfz2/CSEGapq2qysX1jStANkqCk3TaoQQu4HI45hjjxHi48b0weFMH3zyJUy46PXcMD6B37LK28Z0AqalhnX5WkXVjdzz6RZWZ8tr6XWCt68dwRkpwUc9z8vN8c/D3ainptFEuK8bZ0Qb4d3HbE9aWuDbO6WVlZOi8/U5FW1iCPDjziI0Dd69biRuFfvQv3a2danSyuCLrUuPgN4F5vxXNqLtCUIGSBEyN59YVmtdmeNYfblcSs3fCHt+kK8RPRLcA2U/xOxlNjEEKah7foDY8bLdk9bJXLZ6J69dlSc7ZJxugpi/Gd6ZLsUQYOW/4ZrvIG58385LcUrTGUEcjeyFeAC5hygArStlF0KIOGAosBYYB9wphLga2ICMIiucnHMzcDNATExMZ1/qtGJMYiDvXDuC91bn4Oli4OoxsaRF+3X5OtvzKtvEEMBs0Xjiu518cetYAjyPnBQzPTWcd1fl0GTd69MJuGxkNBYNBkX4EFv6KwycA6GpshWO0UNmaDZUOBXEvIp6h7GdBdU0tVjwDE6Gyz+XUVFVHqRfCWNul194NYUyyzMw+didHk4EIaQY1hRJ021TEwSnyL24zpJxDWR22AFIvwLy1sulVEuLHFtrgKl/hdJMudzckbpi2RLK4Aoxozv32oFJ8j20N9tImQ7eXb+JOunZ/a1NDEHeNKz+L0SPVlGi4rjpzF/OUdP6hBD+zgSt3fNewHzgHk3TqoUQrwJ/Q+4r/g14Dri+43mapr0OvA7SqaYT8zxuqhtMVDea8Pd0wdPl5PmfycPFwOT+IZyREowQIDqbmNGBygaTw1huWT31zS1HFcS0KF++uGUMi/cU0dxi4awBoaRF+2HUW0XJFC2jmV+etJ10xkMyGcQJw2Md9z4vGBZpm0PyVLnsZaoHrzDbF1vIgM690ROlpUmK05c327oauPnB1V93vntD7Di4+ANY8ZwUpwn3y6hl84fys2m9cdj5FRxaB5UHYdKjjtcZMAcaq+X+Y2c7YYSmwkXvy2XSuhJIPFOKrsvJsQ3QrTTWOI41VaFslhUnQmecanKPccgSwGkanBDCiBTDj1qzUjVNK2r3/BvAgk7PtgfYdLCCv363k+15VYxLCuLRGQMYEN4LbXK6QFfLLPYUVpNVXIufu5EAL1f6h/k4BA6z0yII8T760qAQgiHRfgw5UlTaWAV720VDGTfI/a+9P8jGw2FD7EyPh0b78ffzUnnmxz3UNZu5OCOaizI6RJIeAUAv26WV7JVZnTkrYfBc+xY/jZWw4nmY+6YUzOJdMmL1i5VC3bFbuqs3DJwNiVOsj73kcuieBXBgue24KX+S5R4I2QnjovdgyV9lNu2YuyDt0q5HdgYX+dpRI6C5Vvqlnq5dGAadBxvetB8bdav8+1N0CWuiYy3gA/yqadriPpzLE305h+4Ih5x+WwsZzrwF7NY07fl24+HW/UWA84Ed3TCH4yK3rI5r31lHdYNcxlqxr5Q7P97E57eMIdCrF9xReoDNByv458I9jEkM5P3VudQ0tnDZqBjev34k932+ldLaJmakhnHXmUm4GLqQPemMpmrb7xnXywzLDVvlYyHgko+h/4y2Q7zcjFw5OpYp/UMwmS1E+LpjNPTgEmhnqCmCz6+RdY8egVC8x/GYgi1yf279W7CiXS7YnFfkcqizyN3Vy/Z70Q57MQRY81+Y+YJMwvGLhtCBEDcBLKYTX+L8PZgIRI2AK+bLvcOWRhh7F8Sf0dezOqXRNO0vv/c5dIcgHmmNYhxwFbBdCLHFOvYocJm1ybAG5AC3dMMcjovcsvo2MWwlq6SOQ+X1p6QgtpgtvLnyAGf0C+afP+5tG3/vtxwCPV1Y+Ifx1DWbCfNxw9V4gmIIEJAoMz9NDfJLvGCr7TlNg4UPyi8uL/vknYiTqNaT0kwphgAN5c47UAy6AKoL7MUQ4If/g5gxx95j7GhFBzLRRtNg+tMyqoTeNTDvDTRNlpNU5MjIP7i//Y3CiWB0g+SzrEk0FltbLUWnEEL8EbgGKAYOIasA3gUWaJo2TwjxF2AW4I7sbnSLpmmaEGIEMtCxAIuA6ZqmpQohrgVmAx5AIvCVpmkPWl/rMuR3vwC+1zTtISGE3nqdDKQWvK1p2r87zOFp6zVbgJ81TXugpz+XHtsw0zRtJc6jx16vOTwS3k6yKI16gaeT8b5mV0EV320tYF9RDXPSIxmXFEiAp71oN5stlNY0kV/p2Ijks/WHuHJ0DLGB3biEFpwi79K/v9++1KCVmgJoaei+1+sJ2tcYappcLh11C2x8Vy6R9p8Fw6+BsizHc031sgD+WASlyKW89p9R0lRInNw7Xez7igMr4JOL5Q0TwOjb5T6qu1/3vUbHJWvFMRFCDAcuBdKRGrAJ2NjhsJc1TXvCevwHwEzgO+Ad4CZN01ZbBas96cjkySZgrxDiJcAM/BMYDlQAPwshzkOKcKSmaanW1/DrMMdA5Apif6sQ2z3fU3THetUp26IkOcSbK0fbZ7Def3Y/4rtTNLqBrJJarnhjLa8uy2Lx7mLu+mQz8zcedjjOw8XAnLQIfD0c91HigjxwNx5B6Jtq5J18TWHXJxc3Dq77QX65iw5/TmmXg9eRl++aTGZqnCT89CpB/WQiTCv7FoHOCLesgNvXwAWvyVIP/1gZDbfHLwb8oo79GsED4Ip5MktW6GDg+TDtH6e3GNYWw7d32cQQ5DJxUZ/tkChsTEBGcPWaplUDzqw5Jwsh1gohtgNTgEFWUfLWNK11k/3jDucs0TStytoacBcQC4wAlmmaVqJpWgvSG3sikA0kCCFeEkJMA6o7XKsKaATeEkJcADimqPcAnQqFhBDjgWRN094RQgQDXpqmHbA+fWaPza6H8XIzcN/UFM4ZGEZhdSPR/h6kRvpg0PfxvlYHdudXU1FvLxwvLtnHzLRwwn3tv6TPGhjCvuI6qhtMfLruEM1mC64GHfecmYK7i5Nl0uLdsPAhOLyR3DFPkuU3BlevAPqF+xDU2WVjjwCIGiWL2xc+JMsm0i6D8feCwVGcLRaN9TnlvPLLfvKrGrlmdBTT4l0I9vMB9yM4BdUUQ/UhcPOVS7VCQHOdNP0Gafzd1QSS0v3yC3riA1A6Bw5vhIRJci/Kt0PJbGCydH355g7pIBM8AM57pXNGATqdvO4NP8tkF6/Qrtc61pbIpd3meghK7lopSF/QWAWVOY7jx3PTpehVhBBuwH+BDE3TDlmTbjoTije1+93MUfRF07QKIUQacA5wK3Ax7aoNNE1rEUKMROrLhcCdSGHuUTrT/ukx5DpvP2S4bAQ+RO4Romla+ZHPPvkJ8HRlwjEK1Psazck2rbON2wOltfxvWRbfbi0gLsiTly5Lx6JBbKCH88zZphr44QHIWcn2qZ9w1RIDlfX7ARgd789zF6cT2dn+kHoDJJ8NEcPlMqlnqL0Ymlvayih25FdxxZtrabHId/Hnb/fQOMGPmypfhDP/BGGD7a+dvxm+uFbuRRk9YPozED8Rlv4Ntn8hjxl8EZz5WOe70BfugPdnyb08AP84ufwbdATfUiFkFHzTUlln6RXa9ebBHgHH13C4bD/sWwyNFVCSCVlL4KqvZInKyYpnCIQPdTRN94/rk+ko7PgVeFcI8Q+kBswCXmv3fKv4lVrL5i4E5mmaVimEqBFCjNI0bS1y2fVYrANeFEIEIZdMLwNesj5u1jRtvhBiL1JT2rC+roemaT8IIVYhI8oepzOh0PnIjc06AE3T8gHVH6kXGRjui6+7faR115Qku+iw0WTmmR/38tmGPBpMZnYXVHPXJ1uIC/JkYISv8xrG6gLIWUlT9Hj+u9eLynZR6JoDFWzIPOR8b9AJlfXNrMkq4ad91ewt17CY6uQThdvhhwfh3emw4R2oLmB7XlWbGLbyxpYGSrySZXPe+nb3WPUVcumtIkc+NtVLN5yCrTYxBPl75k+dmisgyyzav05FjrRYOxbeYbLc4niE7XgoyYTProEfH4JlT8voNO0yWPqUjBZPVtx9YfYLNmchowfMekmW4yj6FE3TNgGfAVuBhcD6Ds9XAm8gKwB+6vD8DcAb1kRJT+TS5tFeqwB4GPjF+nobNU37Bulatsx6nQ+BRzqc6g0sEEJsA1YC93XxbR4XnVkybbZuamoAQoiTa4Ptd0BiiBcf3zSKrzYdZm9RDRcOi2J8SpDdMQWVDfy40345qtlsIauk9sh1la5e4BlMnV9/tu1rcXg6O78YSkyyDdNRKK9r4skFO5m/WVbTGPWCN2eHcEaMET4432YpdmgdjP0DoRG3OlzD21WH0VQDxTvkl36r4NQVS1F1eFEnSS57FsDIG4861zacXbNwp+NYX7PtU/mZtHJorXSuKd8vI/yTueg+PA2u/xmqWpe6Ezrf9UPRo2ia9iTw5FGe/xPwJydP7Wx1KRNCPIx0G0PTtHeBd9udP7Pd758An3S4/lac1K9rmnZtu4cjj/lGupnORIifCyFeA/yEEDcBi5F3D4peZFCEL3+aOZAPbhjFnKGRBHbIMHUz6h2iSAAv16Pc8/hEwLnP45f/KzP6O4pmun8jlO51cqI9u/Nr2sQQZFeOP/5SSUlltaO/5tpXGelfR5CXvUPOAxlG/DK/kF+cru3m4uYPvk6WQX2c2OLGTTjmXNtIv8xxbMhFnT+/NzA1QtZSx/Gy/bL+0cNJmYbFLPeF9y2Cgm3Sfq4v8QqW7asCE5UYnh6cK4TYIoTYgUzO+XtfT6g7OWqEaC2u/wzZ/qkauY/4F03TFh3tPEXvE+7nzmMzB3Lv57ZawNEJAQw8lutOyjR0fjFc0eRFVkk9S7NqcNHruHOkN0MPvwUx1x7ztUvrHL908yqbqLX44LA7qzPg4+7CJzeNZtX+EkrKyhnvV87Q3U/I5dDzX7fvMuEdAnNehk8utWUsjrsHwtJkr79ia1QXMlC6tHSWxCkw+Y+ysFsImPCA7F3Ym1QelMK1f4l87eRzICDO9rzRDfqdK/dQ2xM+VNZGOvPs3LMA5t8gl7qFkPutQ68B46lXV6s4+dA07TOkJpyWCE1zlp7R7gAhtmuaNvioB/UwGRkZ2oYNG/pyCqcEDaYWdh6uZn9xLQFeLgyJ9CWsQxbq0ag7sJ5DB/bgYm4gdu9b6CPS4ZynjlkwvvVQJXNeWWU3NibWkzcna3guvEsumbUy+Y9SfFpNuhuq5PJlXbHMFA0ZZGf3Bsj6wLL9tgLvoH5yubemSEawmiaLvr272BpK02RGLEj7tI4RjLkFqvNA6DufrNNZGqvhy5sg80fbWNwZcPG79vuTZdnw3R9k1wuQbanOesx514/yA/DaBLmU2orQyabK4X36v7Di+FAhdS/TGUF8D1mkuf6oB/YgShB7CXOLTO0vy5LLcaGDOpU8UlrTyM78Kn7cUcSXmw8zMNSNp0c00i8+Vgrfnh9kVueAmRA/QRpmH94gMyddPCFpCoQOll/krj5d72ihaVIMmqrAJ0qKZd562L8YPIOlyXXowK5ds+owrH5F9nvUu0ohT7+8+4rKD2+EN9plkQckyD23cfdCRAcz74ZK+W+i08ulR9cj5LTlbYA3nVRBXTFPGqcrTjWUIPYynUmqGQVcIYTIRWaadrn9k+IUQW+QJQ8dyx6OwpZDFTzy5XZ2F9SQFOLJW1elM8SjAh9fP7lHCRCQJDM6DS5SULKXwwfn2fr8/fovmPUCLH9atisafq2stXNGaSbs+EpGTAPPg6Sz4OBvsnykuU52fJhwH8xr10DF/Tm4bmHXumbs/hbWvCJ/N5vgp0ekaPU7avOXztP+RnTiA7I+7+AaWPcajLnDPhvT3Q+iOlFi4R0mbwDqSmxjepfuj24VitOUzgjiOT0+C4UdFovG1rxKFu8qwqxpnDUglPRov5POMKCgqoGb399IcY3cQ9xfXMcdn25nwV3j8fGxZj+WH4DVL8PWT8AvDmb9B1a9YN/01lQvsycbq+WxB1fLqKZjdFpdAJ9eIUURpCimXgQ1+VIMQfYEXP6M/XkNFTLD9ViCaGqQ5t7NtbJdU0f2L+4+QQxMhLiJUuwO/CrnB3Jp+MCvcP1PjuYAIJd4m+vkzUbHSNE3Ci58B+ZdJ0XR1UfeaDQ3yH+HgPjumbtCcZrSGUFUDcZ6mS2HKrnk9dWYzPKjf2PFAT65aRQj408u8+e8ioY2MWylqsHEofJ6ogM8oKVZilNrfV/xTvj1Wedm16Z6MFjrgQ9vtC7bdhDEkj02MWxl5zzZTzDXuodpdJfXcnb9o2E2SRH84QEIT5eJPR1txo4UtR4P7v4w+0WZMDPvOvvnqg7J99leEE1NsOdbaSjeUAEJU6QxeHA/+3PjJ8DNy2TEaTbBD/dD0U4pjnNegf7n2vu3KhSdwNrkfUGr9+gJXCcDuFrTtD90y8S6mc6EHN8jexZ+j+x9mI0s5lT0EF9vOdwmhiA73H+09mAfzsg5Pm5GDB16NQqBzUu1Jh+2d0hIy/kVhl2Nw0khA+2Tbzom1rQe54zARLlPCLDvZ+la0x6dAaKOUdJUug9+fFj+XrAFYsfal3/4xdp6HHYXAfFS0Jy9r47WbkXbYf6NUgwBspfCkr/Ze4W24hslmzR/cbUUQ5CtuuZf73hDoVD0IpqmbThZxRA61yDYbkNJCDEMuL3HZqSgtsmxSL6msQVN05w7znSBgqoGLBaNcF/3Ljce7khCkCcPTuvPUz/sbhv7w5RkEoOtLX4M7uARJLvQt2JqkOIy9y0Zken0MGAWrHnVdszQq+TSJ8hl1OKd1qa8cdJDtMT2evSfBevekGKVu1IuJyZOAf94WPs/8AqTe4oR6Ud/Mw1lYGn3uS9/BkbfKl/T3U/uTbYvB+kuAhJh5C1yrq0kTHGM/Er3OZ67d4H8bJ3ZodUUSIPt9phNcsm1K3upilOOuIe/vxx4CogBDgKP5jx9bidsmI6JQQjxEbKgfidwNTAAeB7wAkqBazVNKxBCLAPWApMBP+AGTdNWCCEmAQ9omjbT6ov9MRABrAamIrtieCGDrpXAWOAwMEfTtB5vndPlPkeapm0SQozqickoJHOHRfHlJvtuFleNjj0hMaxqaObrzfk8t2gvTSYLt0xM4IrRsYT6HH/7HKNBxxWjYhgW60d+RQNh3gYGBhlxa+216B0q6+C+uMZ2UmQGDQH92YyBNWGphPi4MSbMg8SJ3pC/CaIyZI9BF09pTfbby/DrP+W5QgdXzpdJOQVbpcg1VMgEGKGDq74FD3/ZbiluPAw6X7Zd6oyRtm+0zH5trJSPG6tg7etwy689I4StGN2kYMeOk/uoYYPl7x2L7j2DHM/1jweXI/QX9AiUEW77Js5CdM6MXHHKYhXDN5B9CUF2nHgj7uHv6QZR7IcUtlVCiLeBO5DWnnM0TSsRQlyCdL9pzWgzaJo2UggxA3gMOKvD9R4Dlmqa9g9rx4sb2j2XDFymadpNQojPgbl08DvtCTpj7t3eQ06HvDvI77EZKRge68+7143g9V+zaTFr3DwxgZHxJ+aduf5ABY99a7Mme3HpfkJ83LhydOe+7HNL6yisbiTIy5X4IM+26NLT1UBGqAEqV8L3T8soa+L/ycjNw19mjd64REYszbUQ1J8lBy3c+cnatmuH+bryyQ1TiQ8dCGjSrQZkjWGrGIJMxPn+AUi7RH7Rr3/TVnPnFQ7RI+1LNrrSjNY/Di75EL66RVrH+UTC+a/1rBi24hUqTQWOZiwQNkQW6e/9Xj7WG+Hc55wLJcjl2DmvyGXS1iL9c/4hbxYUpzNPYRPDVjys4ycqiIc0TWstOP4Q2fQ3FVhkvVnXAwXtjv/S+t+NQJyT641HCiqapv0ohKho99wBTdO2HOP8bqczEWL7VLYW5F7i/J6ZjgKkDdukfiGMTZRRgovBMQnCYtE4UFZHcXUjoT5uxAV6HnUJdPFu27Klq0HHRRnR1DW1sPVQJcmhXni4WP8UNE1GXwXb5D5e1EiWlXpx58ebqW1qwdWg4+m5g5k1JMKW9Zr7G3x1s+3Fvr1LRi6pF4Bmlo1ilzwOQHn67Ty9174mrrCqiR37sohfPAXQZB/FyY9KY+/UuTK5Zv8SKM+WHqbRY2Smamtmqd4Io27qev1iR+InwI1Lob5ULvX6hJ3Y9ZxRngOZC+VeZ9JZ0G9G57I/vUNlxuiom2VdYmCS3Hc9Gv3PlX0dq/Kk6AalqIa6pz8xXRzvCh0TLGuQ3qZjjnB8a8bdUVtBHePc1vM77zByAnRmkrs0Tfui/YAQ4iLgiyMcr+gmnAkhSDH8cWch932+hUaTBTejjn9fks60QWFHXFZNCLZFSw+c04/3fsshr0IuyV87Npa7zkyW/qiH1sAHc2W04htFnc6bZ3/xatvXbGqx8OC8bQwM96VfmDfVDSZc87fjKoRccgwZKIVrwzuyTrBkT5sYAjQbvalpdNwjbayvBTQpyFs+goihsgFv0Q65FzZgFiSdCXsXyv2163+SQmxulkuM4enH8xE74hPWM0IIUsgW3APZv8jHWUulacElH3Sue4ZXMHhN6vzr6fRyv7D9nqHZJJdmN7wLFpOs+YwZo4Ty9OEgcpnU2fiJEiOEGGNtEHw5sAa4qXVMCGEEUjRN66xL/ipkH8R/CiHOBvy7YY4nRGduqTu25TjSmKKXyCmraxNDgEaThfs+28qB0rojnjO5XzBhvq6Mig9g+d6SNjEEePe3XLYeqpRlEqtegsmPyP28X/+F5zfX8/qArYyLsX1hmswaB8vreePXLM7/7ypuPzCOwgu/k8kwaDLqSb9MRmwdEjtCMz/lhnT7FR2jXjDApdi+WH3nlzIKLNkr9wk3vS+ddC79REZLYYNh1C0w9i5pHn2i0WFvULbfJoat5K6U471F3np4bxbs+AJ2fS0NEjrOSXEq8yiO3eXrreMnyl7gDiHEbqR4vYTslfhPIcRWYAsyCaaz/BU422oUfhFQiIw6+4wjRohCiOnADCBSCPFiu6d8kEunij6iqLqxTQxbaTCZKa5psosE25Mc6s1nN40hr7KeWz/Y5PD89sNVDApxJ9Q7VBpEl1i7XLQ0ErHqz9w56WNWWe8xDTpBY3MLT/6wB4BEPx3em1+H/d/JA3J/g5yVMtvTL0aWPVgzOEVVLpcYV+I540I+XJdHlL87d470YdDPc+3mo0VmIHZ0WJnf+RWc8WBXPqquUVMMVQetrYoSe1FkO6xE1RRC0S5oaYKQfs59S1spy5Im4R6BnVsS3f6FvSkCwLrXIXyI8w4iilOKnKfP/Tju4e+hm7NMNU3LQTZ56MgWYKKT4ye1+70U6x6gpmnLgGXWp6qAczRNaxFCjAFGaJrWBOQg9yZbz3/2RObeFY62ZJqP7HU1G7mp2UoNcG9PTkpxdEJ93HAz6uxE0d2oJ8T76NmUsUGehPq6MiYxkJ93Fdk9pxOCxZkVXNHvXNjwtsO54eYCIBwXvY6/nTeIV5bZopoLYpvwXPmd/Qmle2XNm18cTP2btGVrrAKfSEL7jeSGxCQuzIjBxaDHvTobzdWr7d6wxS+e3cHn4pMaRuxv7W5svUJlKUd3U5ErM1eLdsjo88AKGDBbRrnGbny9wESInwQHltnGYsZCYLuC/4pcWah/2Pq/nLs/XP2N9DntSPZy+PRymawkBJz5OIy4CVy72rJUSGHtDkE0NUFZpnTK8Y2Stn2nQvR+GmEVv+4os+hpYpDtBXVAM3BTH8/nyIJobeC4VQixRNO0vPbPCSH6ARXOz1SAjOKyimsx6AWJwV4Eeh1/+x2T2cKWg5V8ty0fnRCclx7Bcxelc/8Xtj3E5y9JIz7o2F+EbkYD905NYVdBdduy6Xnpkew4XE1pbROXXdYfXcdaP8DFL4I7JifiZtQxOj6Af/1k65OoHdGDWEif0VX/kcX4BleZKLPlU4gdh6+H9TMJSqb4vM84lLkJAayvC+HZL8q5aHA6T4SmYyzaIr/wz/6bzFztTqry4fOrZCJRK+PvgxX/ksuy0SM6f62mGunZ6uYnO8bXlUHeOulGE5QiG/vOekFmimb+JJNqBsyy3z/MWWkTQ5DLxategPP+Z29WUF0IX98qxRDkcvPix+R+6tHmPHAObHzXPkpMnAx1pbb30NJ05OzVo2FqkNf+6VF5fYMbXPRe99ndKU4rNE3bBwzt63m0pzNJNUuEEH/WNO1zACHE/ch6kS62D/j9sK+4hlve30i2dU9vZFwAz108hOiArt65SzblVnDZG2uwWFfWPliTy7xbx/DDHyZQXNNIiLfMMu1sneKAcB8emd6fvUU16IVg5f5S1udUcMP4eHR+UTDzefjoorYv24oBV/Kfne58vms/GbF+XD8qnIenD+CBL7Yya0g4xe6+LD97IclVq4jY+C/5hRo2RLZpOrBcFo//9pJtAn6xMkO0XX3giiIDD/zcutwna+fm7ajizsufIrJmG0QO71ziTHWBTFbJ/EkKQ7/ptiJ/ZxRttxdDkOUcw66SS5HOxKWlWUbA1YXgGyHFrngX/PiItJCLGAYz/yPrI1e0W+1JPBMueF2ad4+5w/l8nDnJ5G+2fl7tBLGhHDxDrO+5XRVUTQFHJWYMXPCGnJulRT7e+Q3MeQn2L4Wlf5P/XiNvhiGXgE/40a/XnpK90gS9dS+4pRG+uU22nzrVDcYrD0qP3ZJMWSsbPapziVCKU4rOCOIk4HVrZmkosBs4hg/W7xdN05i3Ia9NDAHW5ZSzYl8pl486PkH8aG1umxiCtHL7bP0hnp475Ih7hseiX5g3T/2wm8OVjQAEebkwc4j1yy92LNyynKaiTPZU6vnfblcW7qvDzajj4bRGPL+6lulTnyH65tH8e3Emj30n9xLDfYbyzox59G/cKhNrvEMgyomgpF4glwLb4eNmdDgszMcF98xvIC5N1hgei5Ym6TCz0brku/sb2PIxXPnlkb/YnVmfNdfKpVJvJ+eYTdKbdcG9MgrS6WHWyzIyyrPWVuZvkmUVq/5jf27WEikaR4u+Es6QpuXFu23+q6lz7dtO1ZVJSzavEGlO4BcjO4aYGo4tPAZX+e+rWWDvD1CwHWY8Iw3AP5prixwXPyZ/n3Df0a/XnpoC+8QokBFzfempLYi1xfDVrTa/XIAzHpb1ts6aNCtOWTpj3VYghPgRmVlqAR7WNK22x2d2itLUYmFVVqnD+LoD5Zw3NNJW79eVa3ZIoGl9nc5QXtdMi9lCSAdHmhaLxswhEbi76NE0aGox8+m6gwyM8MHVoIfAJFwPbyaseCuXpl3IrNgWknX5JK/6K1jMeP7yF/KTn2JNdnnbNQuqm3gnO5gnz7/DVqMYMhDG3w9rXpaClXy2dJBpjWbNLWCqJzXSh7QoX7bmSeNvIeCxMa4ErPwIBjnp8ef0zWbDpnftx4p3ydKPVkFsaZKi1lq0H9wfjB725t/9zwXPUAhz4mNcug++v98mHBYz/HAfjL7DJogAlmZ7K7i2D/4o7lPFeyB3Nbj5ywiyKk+KXPqV9n6nWz6GRX+yPfYMgjF3yQ4Ywc7yHjrgEwFDLob+M2V7KL1BJtZ0TLZZ+z9Iv6LzjZf9YuQNgsVsG/MOl/Z5x0tdicw58go+/mucKMW77cUQYOVzMPjC7jV8V/Q5nXGqWYxMsEkFooG3hBC/apr2QE9P7lTEzajnnEFh7DhcbTceHeDB6qxSzhzQ9S+HK0bH8tOuIlz0OgZH+VJZb+Ki4VFHPaehuYWle4p577ccpg8Ox9vNQKCnCzGBHiQEebG/uJbXfs22O0cn4LZJScS17kXu+5nQ7Z9Le7eV/wJXb3aPeZ5fa8Iob9KTosGgCB925tve69oD5dQ1t+Drbl3eK9opI7XRd8gv3kPrYPt8cAuEyhzY9ikcWkPEgNm8OvcmdhTWU1WWT7KxjIFbH4D4MzpfY9jS5PilDnLMYpZLXiv+DbUFMOpWuZwa0l8mrSx7Wu6bDrpACnbwAOfJKXUljkJnanBs5Vq0C2InQO4K25hn8JGdYioPwkcX2gzOsxbLZcux90BAnO24qjx79x6Q+39BSZB6Ydc6Wbi0K39pb2Teikdg52zvWglKkXud390tbzA8g2Dum11bdm2lvkKWhfz6DCDgjIfk/md3NWjuCi2NjmNmk6yBVZxWdCZceVnTtK+tv1da02O7o6bltOXsgaGs2l/aFj1NSw2jsLqRJbubj0sQR8YH8MlNo9iZX80ve4rJiPPHw0VPc4uZw5WN6IUU3PZ7iJsPVvLYtzu59YxEnvx+Ny3WNdcrRsUwc3A4vu6O//TebkZcDbq267oMuYOIqjyEXorb3jHPcMlyX6obrOmgGyp5ZHp/9hfXtkWs5wwKw9u13fLn4Q2yzm7l8zLKGXUruPnA9k9kxmjxThl1rXiOiMObibj4PahuhrJKmPkvGWF2JsGjtlgWufebLov3W/GPk1FTwRZ4f7Ytevn2LpjxHIy8US7HXvKh3KfzDDpyVw2QmZgdI0o3Pwjt0FQ5IEF23dj0vnSmicyACffLKMoZxbvsu30AbHxH7lOZZ0BEGlgsUHHQuejrDCfW1ikqQ763aquHrhBw1uNdEyC9Ub7niGHSLN074viXSnN+lSYGrXz3BynQA2Ye3/VOhKB+8rXry2xjyefIvXDFMelg6D0bGKhp2tO99NrpQISmaT905vjOLJl+LYQYDyRrmvYOsiCzx01WT2WCvFwZERfAKGv/wjXZZfy4o5A/nOk8uaPFbDlq8183o56csjr+/r018zOrjG+35PPkeYP4v/nbcdHruPusZC4dEY2fhxSvX/eVMCc9kpeW7m8TQ4CP1h4k2t+dKf1DGBLly7Y8W2/CR2cMwKLBvxdnEuDhyr5igXvgM5zrr2P48ELWN0TZxNDKN1vymdwvhB93FjImIYBLRkbbW8i1j4hG3AhZv8glzFYmPwoVOXKvKXup/D18SNc7MhRskZHTyJtgzJ0yuzNkEIy4QX6pb/vcfikP4LcXZTToGSijpfYR05EITISL3pWepw0V8oty7psQOQKu/V5Gej6RUsjm3ySt6+LGSys4DSm6Lk4iT2ddRzVNLinvmCcFsWQPfHunXMZc97rtOHd/cPXt9Efl/H0lwdXfShebhnLZLiviOBIAhZDRKkdJZOoMm953HNvycd8IYkAcXPUVrPyPzAAeOAeGX9c1r1wFAJqmfQt824svmQ5kAN0jiEKIx6wX7Ae8A7ggBXHccU/xNCfQy5XBkb7c+fFmms3ybt7Pw8iEJPt9kOySWr7Zks+KfSVMHRjGjMFhxAY6flmW1jbx0hJ7N5MGk5ms0nqE9fenF+7Bz91IuJ8bQ6P9CPVxo7S2maoGk8P1apvN1Jss/PfyYWw+VElRdSMDI3xIj/Lj/dW5BHq68vTCPW1C+uFawWfX3E3D4To6GknUNbdwX2oDdyYZiU1Lx9tD1u0dLKtnZ34VTaaR9Js+jwErbpei0F4MQX6xD7pAZnYKnYx0joeaQuv13pACETZYZrhOuB9yVtl3fWjF1bvrrycEpJwjMyfrimVtZGsUFDde/tdigZ//aCtdac0cNbpD0W6Y+rjj3lPIABlR1bTLGB18kUzO8bd6nZZnyZ+6NJnQUbRT7ndqyBrKgAQIPEoR/7EISrKK2UmAMzOCzni+9hThadLsvblG7vGezLWVj/s6tH/i8aoTqku0Ngj+EWnXNhZYj9SDvwIhwBXWQ18A3IAG4DpN0/Z2uM61QIamaXcKIRKBjwBP4BvgHk3TvKwR5ePIdlKpyDr4KzVN04QQfwFmIb1NfwNusY4vo0O7KevjJwB3a1D3D03TOjRotacz3wbnI2tFNgFompYvhPA++imKUQn+vHbVcLYdrsTNqGd4jD8ZcbY07dKaJu78eBO7CqTAbDpYyW9Zpbxy+TB83O0zLnXgtKSi49Ca7HI25JZz1ehYpg4M5cM1ucQEuHOw3JbIYdAJ/N2NBHm5EOXvQVSALSqqa2ph08FyDHqdXVRptmh8tq2SG8bHoV+cg7ndc7cOMZLy85Uyld8qhgdK67j6rbUcstY5uhp0fHTVYjJqnViENVTauluMvOXoX+gWs9y/c7avFZDY7poVcOBXWVzv7idLPuLGSaFsbbALMjp1P87Iyj9G/jijuU5mlHak4gAU74Bfn4XZL9mXUXgGwzlPyci2cLvMzq0thMJtMMnauNjd2hJq55dyz++cJ+GHB2yZsjmrYPaLx7dnd7KRfrn0tG01cHf1hsEX9+2cDC5gCDz2cX2JFEOH9k887suJiiIy7L8I2d5pPdLPdDzSvOVRZH/ECVbnmbOQojz3CNcCKZ4vaJr2iRDi1g7PDQUGIfNXViEDsJXILbwnAIQQHwAzgVZXELt2U5qmnWUV0AxN0+7szBvszG1Os6ZpGtZFHSHE8dUOnEY0mcyYjpHl6evuyuT+Idw4PoGp/UMdXGSySmrbxLCVFftKnfqRBni5cvdZ9hGFl6sBYwfhCvVxpaKumecXZaITgqtGxfLX2YOIDnC3zsnIA2enMCjShyh/x+VBV4OOfmHeDrZwIMUyOdSHj24cxRkpQQwM9+FfMyI4x20nXPi2LToC1maXtYkhyIzYl1cV0Rg9QWY1tif1ItC7yWXICffKYm5n5G2QHTXemS4bC9eW2D8fngbT/2lzlokYDpP/CHpXGQX+9qLM3Bx9u/RcPf81aS3XWC2XaRsqnb9ue5rrpVgdWm8rZHeGq5fcY+pIQKKsGdz1tWPz3tJMmHetnEfqXGmfl7NS1jPGTpDHhAyQGacgyzPWvWFfNrL/Z7l03BXMLVBTJN/byUTEULhhEcx5Geb8F67/WS4bK47F0do/nSgHNE3brmmaBdkgeIlVG7Yjrdl8gS+s3qT/Rgra0RiDrUlER7Fep2lanvW1tmBr/zRZCLFWCLEdmNLhNY7VbuqYdCZC/FwI8RrgJ4S4CXl38MbxvNipTnVDM8szS3ln1QF83Y3cPDGRjDh/jEfY/8ssquGR+dvZeLACTxc9f545kDnpEbi7GI7Yqkl/hPFpg8Lw1zcyf0sxMd4WpgyI4P4FOW3PxwV6oNcJ6prlPllxTSOpkb489NV2xiQEMSfdlYZmM2+uPMBNExIYneCYqGLQ6zh7UDi+7i4s3WP/hX3pyBj0OsHohECGxfhhMmt4uhpwZjRxuNKxtCCnrI4mr3TcrvoaFj8OFdnyjn/IxbIbvd6xDrGNwh3w3kzbl//hjXD2kzC23U2fqxeMuBmSpsovd79oW0LI2Dvhw6Ww9O8yAcbVR3Z5KM2EHx6UHT7C02R/QWd1kyAF7Nd/wfo35N5e6CB5I+CszEEI6cyTu8rmOtNvhkxYMTdL04KO+0+tfR23fgz7fpTHa5r8bNytGaAe/tKtZ8jF8jqfXyUjJ1dvW3F+rb0l31Epy4I1/5UCHToEpvxRJtecLIQOkj+KrtCT7Z/at2SytHtsQWrJ34BfNE0737rEuqybXssMGIQQbsB/kRHfISHE48jl2Y7nHE+7KejkScHAPKR9SD/gLzh2Pv5dsHRPCfd8tqXt8fLMEj6/ZYzdUmgrDc1mnvlxDxsPyiW6umYzD3+5naQQLzLiAkgM9mJUfABrD9jq+GYMDifeyR4igI+7kan9Apmq3yw39w+U8MG5H7KjpR+55Q2U1Tbzv+VZAIxLCuR/y7J4cFo/ahtNfL7BPnuxdV/TGYMjffF00RPq48ZHa3MBuGlCAkOibGn5LgY9LgZkZFWVZ0vPL90Pbj6MiovjpQ7XvWRENL4eLnLp8qovrRmdIZ3biync5lhAv/J5WQfm3S5rV6eTSS8diR0HV38nSzyMHlJQfCLhram2zM6CrdKd5+blzpsC522wT2Qp2gm/vSJdfZyJeVAyXDFPll+U7JER3+YP5ec07R+O2Zv+cXLZtK5EJhht/lB6gU75s/1xHgEyOmxphun/ko45DRUy+sz80d4X9Wg01cLCh2VUCTKh6fAGuGkZBDn5DBWnCj3Z/ulY+ALWNGWu7cTxa5BLqp8Bl3bi+FbxKxVCeCE7bcw7xjk12Pf0PSqdEcSpmqY9BCxqHRBCPAc81NkXOVWpa26hqKoRTxcDXm4GXl9hX7dn0WQ2pzNBLK1tYkmHKAtkpJQRF0CApwv/uiiN5XuLWZtdzoSUICYkB+PpdpR/Eo8A+WUeOxY0SPCNJEEINueW89yiTIK9XRmXFESEnzsvL93PxJRgbpuUxF2fbG67hEEnGOFkvhaLxta8SpZnliCAM/oF8+bVGewprOHlX/aRUxaMt6sRLzcDqRE+xFRvhM+ugsZKKQjj7oG9P2DSdIRNeI73rsvg+UWZ7Cms5dpxccxJb2cc3RrVdBadE8ExuMoknI401cgIsaZQ1hH6J8gOEAkT5U8rB9c6ljk0VMh9vvaCWJ4tI8m89bYxNz8paPsXyyXOIxWNewRA/HgITpFCnXGdFMpgJxm0ftFw+Wew8BE4vA5ixsG0p468H1h1CH55yj4JZ8Zzna/ZrDpoE8NWmqqlwCpBPJV5FPs9ROi+9k/H4hngPSHEn5CN5I/FPcCHQog/IhN2qo52sKZplUKIN4AdyFZR6492vJVfgIeFEFs4kaQaIcRtwO1AghBiW7unvJGbnKc1+4trefL7Xfyyt4RgL1eemDOIpGBPdrUrQgdwNzr/CL3dDKSEerO30H6fMKidyXdMgAdXjYnjqjFxXZucr31RfnKoN+G+7oT7ubMpt5IvN8mbtEaThXGJgTwxZxDfbc3Hy9XI+ORAPlmbS79Qb/w9bft5mw9VcunrqzGZ5Z7ky7/s59UrhnPj+xt4eHp/Xlq6n8p6mbEa5uPK+xMqSWmslCebTbDiWQrPm8ebmW6892kZBl0Fd0xO5D+XhBMT6HnEpeBOEZ4mxaXeFk0z+U/SuqyV2hIZhaHBujdlfaPBDaY+IcsUOi5RuvnYtaWyjbdLsinaBR/MkfuFZzwkRXj8vTJa1SyypESnl0ubDZXg4gUGJ+LtFWI/1yMRORyunGct5wg48k2DpsnyiPZiCNI9ZeDsznW7MLjJ/daOkbezkhDFqcPjVR/zuC90c5aptf1T+5ZM1x7hufbOE3+yPr8M6/KppmnvAu9anz8MjLZmiV6KXIHs2CKK9gkxmqb9qfW6HeY3qd3v7dtNlQOddug/WoT4MbAQ+AfwcLvxGuuLnLY0NJt5euFuftkrEzdKapu4/eNNvHPNCL7dajNPdjfqmZDsvGjcz8OFv84exDVvr2srWp85JJzUiBOsF3OCl5uRiSnBdpGgUS8YkxhIcU0TT36/m2Ex/pTXNfG3BbIUYGZaJEFeLiSFeOHtZuSz9QfbxBAg2t+DH3YUkBDkyZ6CGqanhhHu647JbCHY04DBuxAmPSrr7LZ9Do2V/FwWxJsbpRibzGae/TmTxGAvqhpaKKpuJNLfneQQL1yNXSwgD06BaxbA3h9lnd+AmdJcuT07v5RLhi1NUgxBOowsfFCWYMR26FsakCSTbpb81TY29i4ITLG/ZmvyS8UBOPspWfbg4iGXh/Uustwhe5ns1RgxDMb9wXmrps7i5iN/jkbBFrlc3ZGmWnlz0krlISg/AG7e8n21F0q/OJj0R3sLuPgzpBGC4tRGit+p0P5pOPCykCn0lcj8lD7laO2fqpAh7GW9N52Tg+KaRhbvtl/u1DSoqG/m05tH8/POQnzdjZw5IJTUyCML3Kj4ABbcNZ6csjq83Yz0D/NuK5zvCqYWC8U1jbgZ9UdsIzW5XzCvXzWMj9YcJMjblctHxTIkypcd+VU0tVhYnV1md/yOw1W8sGQf56VH8OeZA6mqt69XbDSZ8TDqCfV1IzHEk592FvLJukOE+7ryybgi4r69V4qP3ggT/4/m8jzm7XK0uF24o5BdBdXsL65FCHhm7hDmDos6YlLRETlagkVdqcwiHXKpfXeJVioOOAqiwSiL+KNHyeVD7wgpZO1Fo7DdwsjWTyFhihTEzJ/kWOKZkL9V2qyBXF7N/gVuWir3BHuKnFXycze4yn+DVkbfLn1KQSbzfHyxLRt29B2ydrG1fZZOB8OukZ9p0XbpoBM1om89QxW/KzRNWwGcVKnDyqrdCZ4uBsJ93SiosvcwDPB0YXRCIKMTOleLJIQgOdSb5NDjL9vMLavjf8uzmb8xjzBfVx6bNYiJKcEOma1eVZmcvfclpnrUIELTwGMOCH9iAzwZkxjA6ixbUB/l795WsP/1lnymp4Zx2cgYfmrXNDi/qpGpg8L44bMtzBwc3ubNet8wA3ErHrB9EZtN8OuzGC75hEGNOrbZdc6UXTRKa+WxmgZ//mYHw2P9j7tLByBLJcqyZF2Yf5xc+nT1kYIUMkCaMdt9OEfYh3P1lkk+R/KYSL3QJn4g9yzbP44aLrtrtKe+THa06ElBFEKWXJz1uIyaawqkUXfaZfK5xmr48VH70pA1r0hj9cRJtjF3H0iaIn8UCkWn6hB/dwR5u/Lk+al2+15TB4QyKOIYS1ndTGZhDb9mlhDm48rk/sEcLG/gpvc32JlpAzLl/uNLYNsniL0L4Jcn4cubob4Cs0Xjr7NSuX1SIonBXsxOC+fykTFtGaQAmUW1jIgP4PWrhjM0xo9hMX68cXUGGbF+vHfdCEztslJDdVX2Pp4A5mZ0Aq4cFYtvO1OBSD83vN2MbXuPIPc1K0oLZFeHdnuCeRX1bMgpJ6ukFkv7XlcdKT8gC9uzlsisz/VvynKGKX+Se4jDrpF7ea0MvUpawYFMtCncIevumupkUsxXt8kykPzNjq+VMFkuqxrdbXtu7bFYnGeYtjTCL0/Dpg+hLNvx+c5QuB2WPiX/HfcuhIZ2/+Zx46GxSjbitbTIZc6oDJsJeEOlLPDvSHWe49jJQmON3LMtP+DYQkqh6CVUhHgEJiYH8+0d48gurcXP3YUB4T4EeTtfruxuKuqa2ZhbziNf7aCkRkZX45OCuCgjii825LG/uIb0aD/bCWX7HTImqzxi+GlbGS//ugW9TvDI9H5cOzaW91fn8oy1271eJzBbNPqH++DpauDsQWFMSAlGIP1TAQZH+dFi0RBCfk8dNvtJwWlutzxqdAe/GAYFR/LV7b7sLazBoBdE+Lpz2Rtr7OYV7O1KRPZ8WP8PSDobxt7NmsZIbpu3j4p6E64GHX8/L5U56RG4GJzsNe5fAuZGWPqCbWzXt3Dxe7Lv4aE1sgmv2SRt1dx8ZeSYvwW+u0vePPjFwLR/wte3ySxZkOJ63Y828QS5fDjhAdkoF+T7jhphyzjd+730tGxfjhGZIaPILR/Jx0EpcOX8I5t6O6N4D7w3y+aqs+0zmP0KDLMW5YenwbU/yPHaIpk0FDvGdr6HP8RNkNZ17TlZzahL98l60OylsizmrMesiVDKEEvRuwith+7GhBDRwPvIpsIa8LqmaS8IIQKQdSdxQA5wsaZpFUe6DkBGRoa2YcOGHpnnycjyvcW8syqHZZn2biz3npXMC0v28b8rh3P2oHb1d/lb4ft7ZW1cSyO4+bJyxhLWFVnQC0F2aR3fbMnnnWtHEOXvzryNeXi6Gmg0mYkN9GB8cjCRfh2in3Y0t5hZtLOQv32/Bw2Nr6fWEL74Llni4OIpW/70n+lQU6hpGiv2lXL/F1spqWki2t+Nf0+AjOXXtBWiF10wn9kLoKjathemE7DgrvEM7JiA1FwLmT/D9/fZW7ABXPU1JE5ud2w9bH4ffvqjTJZZ/5a9n6lHgFxiXP2KbWzaP2F0RwepDhRsgx3zZXSZeCakXSKjwLz1sqSibL+tMbAQEDdR7t1Fj+x8K6Wtn0rz8Pb4RMgayc5kq7bO87MrZBKSTg8TH4RRt9uK/E8WWkyw4G7bDUQrV39nXybz++QEUrMVx0NPRogtwP2apm2yep9uFEIsQhZsLtE07WkhxMPIDNbTvqaxlQOldWw7VEl9s5mBET6kRvo6lCTsK6plV4GjGXVpbTOjEwLsEnn2FFSzIdeHbX7PMj6hmnEln1OYdAn3fpfbFl0Oi/HnqtGxfL3lMI/PGkROWR0/7bTtFz46oz/nDArF3WhwaCQMshA/yMuFKf1D8PMw8siOaqamf0S8WzVpMUF4Jox22jJJCMHElGC+u3McFdW1BO96j6BfnrNbci1pNlJUbZ+MY9Gk202bILY0Q+5K2cuwuQZG3yaXXLPbeaOaOvSsK94FC61/Vjq9o7l3fbmTJVAnDX3bk7cBPr1Mtq0KHQQ+UXIey5+G4IHQb5q8MQEZ6Uz5k8x8/exKaRN3xoOd6+LRsSsHyIi3Kzev4UOk9VlFjoy0ApPtvVNPFupLYPd3juOle5QgKnqdHhNETdMKgALr7zVCiN1AJDAHmGQ97D1kvcnvQhCzimu54q01FFZJoTLoBB/cMJIxifalGzGBHoxPCuLLzYftxofH+nPbpEQirNHc3oJq9hRU02TWSAr1xegfzlr//2NRZjklrd0fgE0HKxifHIivu5HMoho7MQR47udMKutNfLnpME+en8qkfiEOIl1SZ+LjdTazi2V7AXQsuj2G5KP1DwTCfN0J83aBHSUO+48Brpo18ca+2WqoqITCUik8eevhwwtsgpC/We7tHVwtI2J3fwjuZ/+i7ZeQdQaZENO+j6DeBbsbcL2LYyZqe+orZH++1jKMylzY+4N0kqkrgbrlsLAChl4NG96S1nCrXrBZqe38Ui6FXvvd0fs7VufLaLBjz8WJD3S+c30r3mH2Tj49Sek+WYKiM0i7uc52pnD1kW26Dq22H/eO6P45KhTHoFf2EK2+dkOR7ThCrWIJ0m2gi/+Xn7qsyylrE0OAFovGvxfvIy3aDw8X+U/RZDKzaFcRcUGepEb6sONwNToB14+LZ2JKEAGectlN0zR2FFTxydpDbMiVy4c6AW9dk8HGgzkOr11Y1cj14+LJd+Iz2tRiwaAXFFY3cvMHG/nuznEOy5XxQZ7ohIzeWsmI9SMspJNLeDo9pUNuYaf3TMobWoh3qWKgeS8RWZ/z3KRLufUnMw0mMzoBd05OpLm+mual9+Iy+3nZYLdjdJT5Iww6T1rATbjfsUuGTztnnF3fSmPv39oZyk37B/hEy7027zAYcdPR+//Vl8lEl460tPs8C7fBpEfk3qVO7+grWrJLRmxHEsTSfTKarCuWvqJ5G2QCUMZ1MsK0WGQkfowbkG6lvkI6/XSMptuTvwXen2Pbj/WJlPZ8znxeO+LqBWf/FT64wLYvnXQ2RA470ZkrFF2mxwXR6jk3H9nrqrp9GyOrQ4HTdSAhxM3AzQAxMd3hS9v3dIyCAAqqGjCZLeRV1EtB0GD+5jzQpLfplP5ScMYl2sQQZFlEfmVjmxiCFKtXl2UxdUAob606YPc6E5KD6R/ug6tRj7ergZom2/JgWpQvmUXyy8hs0cgurXMQxH6h3rx2VQaPfrWdkpomRsX588SZwXhnfS/Nqq2CVFzTyOGyWnypJa45C51XIAf1MWzNr2PephKW75NLl0IYeWnWOcysf5+J627n7SsWsupgPQadYOH2Ql4qruGTGY8z+penIWa044fp7g9Tn5RF5zoDHFpnW3obMBOCBsCZj8HSv8nlU49AmXRjqpdLnSH95Zd80lly7/NYIuMRICOZ1qL/Vjp25zA1wKSH5FJqR4RORn5HYu8Ptn6RP/1RRscjb4F+02Xniw3vSL/ToVfI+kldFw0OukJVnjRc2PS+7E14xoPO/x0sFtjwtk0MQWb97v2xc4II8r3cvEzeELh6SWs7VQ+p6AN6VBCFEEakGH6kaVpra44iIUS4pmkFQohwwNHwE9A07XXgdZBJNT05z95ipBMP0T9MTmLRriKe+G4X1Y0tTEwO4r6zUnj250wWbLO54mTE2p8rwK4copX1uRX8ZdYg9hbVsHJ/KXqd4MYJ8YxNkrWT8UGevHF1Bs/8tIc9hTWMSwxkaIw/z/5s6+MZ4OFCblkdG3IrKKxqZGiMH2lRfkwdGMqQSF9qK4sJXfsPvD7+VC5DekfA1V+ztTGU2z7cSH5VI64GHY9P9OH87Psw9L+cUsMUlu+z1cVpGvxlSQnDr7mNsAn38dbXBQ5mCF8ddGN0UzUkTJKJKq1LiELA2D+AlzXSOrgG3j1X7gEGJctEn+oC2cg3ZZpc0vSLsVvGazKZcQXQd1JUPAJg1n/gk0tltCh00sYtu10mp38CRFqjzNBBMmln6ye258fd49x8vJVDHawZi3bCjnlSzAu2yGua6qVtm8Gt56IoixnWvibNDkAaG+SukoYDHc0RLC1yqbQjHRtBH4ugZMemyQpFL9Njgmi143kL2K1p2vPtnvoWuAZ42vrfb3pqDicbadF+vHPNCN5bc4DhMQFE+LsT4uXKVW/basZ+3VeKm1HPsBh/Nlk7ZSQGeZIcYl/IHu7rRr9Q77ZyiFamDwojOcSL/105jNzyelz0OuICPTEaZAZoVUMzLy3dh7+nC9eMjSM+0IOHvtzedo1ZQ8IJ8XHlxvc2sK/Yluzy7EVpXDg8ilBvI6FL/g672nnk1uRTUXSQBxcXkW81M2hqsfDI0koGTruTtFW3M2KWvdevr7uRFrOFetzBJxKDrpCO6IWA5GlSEGY8CwWbZb5yyjn20cfmj+QXc2ASDDoffn1GfqnrjXD+G3Jp1RoB5pTV8e2WfBbtKuKMlGDOHxpJYofP9ohEj5SZnhW5srGwXxyU7JYZne5+UqBaO727+cDUv8LAOfL4oCRp7Xa0TNN+02FPhwSTETfK/dDNH8g6SpDvZc5/e04Qq/Nh3Wv2Yy2NUqA7CqLBBYZeaWtz1Ur/c3tmbgpFD9KTEeI44Cpgu9VpHKTj+tPIHos3ALlAH7fB7h1qG1vYfKiCTYcqGJcUTGVdMw/O28adkx0jhl/2FvPG1Rm8syqH4bH+nDs4jPAOZRFCCEYmBPDsRWk88+MeimuaOHtgKA+c0w9Xox5Xo55BTnxTc0rrWJUlbdyW7C4mMdiT+6f2I9jLhUh/DwZEeLMxp8JODAGe+mE3CcGe9A804OHk7r+02aXNyNzVoMPPw0hxTROHmr1IMzXgaa7GoBMEe7tyzZg4CqsbcXfRUYsHQgiuHhPHT7uK2oRZJ+D8/u4QN1fWqO1fJAWmZK+0JPONhhn/kqUPrZFj6lxY8ZwtS9Nsgm/vgPDBEJhEVX0zD8/fxppsaQiw/XAVS/cU8f71oxxrTKvypACYTVJ8g5LkuF+0/GkleqT8cYZXqBS5o1GRK/fgmmukmE58CFb8C9BgyGVSREszbWII8g7ot5eh37lSmLsbvVFmpra3hQOZXeuMlBkwIQ9Wvyw7k5zxsGy5pVCcYvRklulKjlxHc2ZPve7JyoJt+Tz8pS0pIzbQg2vHxqF30g8wMdiTzQcrqGowMX9jHkFeLoT7ubcl3rQS7OXG3GFRTEgKosFkJtTHFbcjdN9oRdehZVJWSR3P/ryX+beNYbh1WbbB5Jj2X9NoYvneEg4FeTAz/Sr0BVvtnvfzDyDa38w5qWG46HWU1DQRE+hBpG8ZeIezssSNh6fH4mrQ8cSCXW1G4u+syrH2lPTnk5tGM39jHgYBF6SHMDTaH6oPSjGMGS09PPf9LAVqyMXSjUWzQMYNcmnRYnYsnWiuk50wApM4UFbXJoat7CqoIbu01l4Qy7Lgk8tkKySQ7Z6u/gYi0o/62XaZ8hwp7q2vo9PD5Z/D7Wvk+/KPlwktztpfNVbIJsE9gXcYTP2bNC5oxT/e3rSgPT5hMut32DUg9OAX5fw4heIkRznV9AKFVY08/aN9VJVbVk+Yrxt7C2sYnRDQ9kXtatBx/fgE/vTVjrZGvo9+tYPkUG+nfQwBp7WDtU0m9hbWUFVvIjbQs21ZMD7Ig+mpYSzcYYs4xiYGkhjsRVltExZNIyXEG1eDrq1LB8C5gyP4eVchZw8M42DSFOInPgirXwL3APZP/5hdlX48PTeMvy3YzZ52La/EGWGkXPgReza5YKqqpq7ZYtdVo9FkYeH2QoZE+ZEQ7Mllo2IIN9YR6AEGVzfZWcLdH2LHy/ZGXiGyMfDSv9nWiodeLbthlOyRe2st7WoS3fzaegp2vPlwN+q5Os2TBF0RNBptXSYOLLeJFMiEkdWvwHmvgr4b/5fJ32j/OhYz/PwYXP+DfRuqmNGOZSOjbu3ZxJMBs2X5R85v4BspPV+dNU5uRac/+vMKxSmAEsRewGS2UNfkWPStA/YV1TA4ypdbz0iksdlMmJ8bN7+/sU0M44M8CfR04VB5vVNBbDFb2JpXxbK9xRj1OiamBJFdUsdvWWWE+7pRUtPU5lIzOjEQLzcjf545kNlp4VTUm2husTAg3JtFu4r496JMWiwaD5ydwtvXZvDvRfs4XNnAlP4hGPU6dhfUMHVgKBvLXYif9AgMu5o9Na5c9s4WKuoP83/npNiJIcBLq4qZNWIiT8zxoMlk5qb3HR2HSuuaOFBax/8WbeH2sEzCtz4PLU2Yx92DfshF0kHm4GrwDpd7hL+9bL9xuvl9SL8Mhl0ta/W+vl064bj7w9w324y2EwI9mTkknAXbCgj2cuH9KU30W38Xuh0HIHo0nPusbBVVkun4j1i4TZZY6LvRTqzeiUFTzWGZqdpeECOHS/u3pU9BXZHMPB18YffNwxmuXjKZKWFSz76OQnESoQSxmyirbSK7pA6dTpAY7GnX5inc143LRsbw/mqbobabUUdtUwtTB4YyNMafcUkyY7KqvplALxcams3cMSWJvYU1FFY10mgyU1bXRKCn/V7XptwKrnx7HTNSwxmV4M//lmXxY7vC+4nJQYxJDOSPX23n+UvSsGhQ32zGbIG/frcLk9nCA2f3a/M3BXjoy+28cXUGN0+I5+fdxSzPLCGvogEPFz16nY6YAE/Q6WjwiGDRxmwqrObdzS2OycDNZgsmiwW9TuDhauCqMbFte5itzBoSwcuLM7k+sojYpfe0jet/ekRGbalzZXZmzChpjdY+xb+V+nKZsDJgNoQOlpml3mF2HqKebgYenTGAiSnBJIp8BiycbYsmD62B+TdKj9D4M2Dtq/bXT7vMubdmYzU0VYFHsFzePBLVBbL8Q7PIJV+/aCm+Qsj6x+Rz5HJvcD/w7FDbqTfKOsSokXJfz7Nz3VYUCkXXUILYDWSX1nLPJ1vYdrgKgHFJgTx9wWCiA2RvPYNex3np0nlj2d4SIv3dOXtgKC8v3c+/LhzSJoYAvh4uPD57EGuyy/jvL/upbpSR5ersMmoaW7jljERpZZa/CS1vI7Et7nx7WToPLKkhLsjDTgxBZq3ee1YyrgYd76/OZf4m6X4T5uPGg9P68cWGPLbmVbYdPyYhkPHJQSzYmk9KmDczBodRWN3I0Gg/0qL9cDPqGBThQ35lA99sOYwG+LgbqG5oocWi4etubGstBVLsovxtyRhjE4N44dJ0Xl2WhUEn+MOZySSHepFT3kCUfqnjh7v+LdmGKSpD1juW7JF+pu17FeqNtuxOkMukOoNT388IrYiLA3KkgLZfWgV57ao8uUR51l9h+T/B3ATpV0LqBY5zO7RW1gsWbpflHZMekfWNHSnbD59eKTNSQRauXzFPCuE1C2TZQn25XHZc+ndpwu0sUcfVS/4oFIoeQQliN/Ddlvw2MQRYtb+M5ZmlXDna1mw23M+dzQcrSI/2o7imkScW7MLHzei0V+Ko+EAOlde3iWErLy/dz+y0CMKLf4VPLkFoGqFAsE8UVw96hbwjeF2aNY2MOH/+tsDWJ7CwWjZBTgrxwttN/hn4exgZEe/Pv9pFi4GeLnx44yh0gEGnEefZgt6oY+2BGvYV15JTWsdlI2II8HSh0WTmmQsH88vuEtYcKGN2egQXDo+2S/TxcTcyJz2SKf1D0AmBp6uB5hYz/cK8aHAJxyFnsrXfIcgU//Ahci/v+/tlVOcTCbNekFGXpkHOClj4MJTtkyUPZzxkq287tFa2yWqogMmPOn5QLp4yCvTwh3F3w8Dz5L6eX7SjD2jpfnt3lV1fy3KFK+Y5Zn7uW2wTQ5CF61s+lK2p5t8o+xmCfO0zHoIF90qhbG3mq1AoegUliF2koKqB7JI6XAw6koK98HIzsGxvicNxa7LKuHK0Lckg3Nedv5+XyqNf7WBnfjUpoV48df5gogMcnUs0TSPIy5W7piRh0OvYX1TDd9sKZDMJUwNbi1swTvgvcTmf43HwF2qChxEWEkx1rZHHZw3k/dW5ZJfWAZAU4oXZrNFocizi355XJWsLfVzxcTMwPTWcT9fZt5Eqq2tmT0E1sV4teFVmYtn9KodHPMKDX1a1Oe9sOljJ3GGR7C2q4a2VB3h0xgAeOCeFIO8jLyF6u9kyJzUNMuICyGoYT5j7G7ZOFgY3aeTdMZElLFUKT02B3Gtr9fgs2gUfzrVlX27/Qi5pXvSOjKq/u9d27YNrYNAF0mO0lWn/tBXvC2HrL+iM0kz7Flggs16rDoL7YPvxjjV6IEs69i60iSHIfc9Da+VrN5QrQVQoehkliF1gT0E1N7y3nsOVcqltcv9g/nH+YM4aGMrmQ5V2x7ZfBgUpcn7uLvzx3AF4uxqI9He3s2Jrz+rsMm75YGNblueYxEDOHxrJjNQw7vhiN5sOAvhySep93DnpPN7Ij+f9z3IAWb/3+KxBfLstnwHhPoyJD2DxnmISnXSoHxbrx+6CarYf1nj2ojSaWsws2J7vcNyhigbu/TwTg05w35j7SSzXHGzovt6Sz61nJPLKL/t5+MvtzLt1zFEFsT0FVY08/OU2LhsRQ+CMLwit3U1zUyNaeDphR6rxc/OWP+0pzXQsRdj3E1QdllFme9u1rKWywP/Cd2QUGBAvi8476xPqzDbN6C7rBWtLZFcLa3YryWfD9s/tj02YBB1KVwC5ZBs9RpoRKE5tmmqkq5GbnzRuUJz0OBbBKZxiMlt4e9WBNjEE+GVPCWsPlDNzcDijE2wZoGcPCmViik0QNU1j8e4iZry4gsvfWMulr69hQ04FznpRVtQ389g3O9vEUK8TrM4qY1pqKOtyKth0sLLt2M921LDDZwLvb7NFKhYNnl+cyYPn9OOs/sG46VpoaazH3ajjujExbd/3cYEeXD06lhmDwwnzceO91TmU1DRz9Wj71Hk3o67tnBaLxjOrqmhycYxc9ELYvZ8D1gi1M7i56PB2NfLe6lymfVTM8G8DGftzFHuI6/Q15IWc9Ppz95dC5REom/e2J/Mnmbk65CK5R3k0A+uOGNxkIkx7Rtwkl2sPr4dv7rR1xoifKM3FdXopuP1nysiwo+sLyJ6OQ69UX6CnOgXb5PL8C2nw3kwZ+StOelSE2Enqm1pYe6DcYXxPQTVz0iN57crhHCiVWabxQZ54uxkpqGpge14VOiH4wydb2gre65rN3P3pFn64ewLxQZ5216traiG7tI4of3cuGxlDfbMZo17g7Wbk10zHpdnCOkdRraw3se5AOfM25nHn5CTOHRzKyysPMzTKmw+uGoyruwctFvhpZxFfbT5MerQfId5uPLFgF7PTIrhzciLLM0sZEunDpP7B7Mqv4Y7JSXy5KY+y2mZ8XCHG35WDFTYnk7nDI1m0y5bQE+jVyWa4QJiPO4/PHsRdn2wGpKiPjvdnQHgXm9mGpkLiWZC1WD7W6Sm74DMOVHriYtBInPkqnp+cJ/fwdAZp/h2W2rXXaMUjQO5RRmXIzE+jO2QtgfL9MkrNWiyTZbymyCXdM/8qk3Oyf4E9C+RP0lnS33TjO/KcUbfJbNaglOObk+LkoLYYPr9KdjYBmXT10cXSwLyzbbEUfYISxE7i7WZk6oBQ3lxp30UiLdoPkNmh6TG2xIvSmiYe/GIbK/aXcueUJAf3lwaTmYLKBgdBDPZyZXqqLMV46oc9mK39lqL83Lh3aj/u/8J+mS0myAuDTtDSri9Tv1Bvwv3cmZ0ewdK9xYyOD2BXQQ3bD1fz4brDfHDDKKobTGzLq2REnD9p0X4893Mmfh5G/DyMGPU6bjsjgQaTmQ05lXi7GfE2wF1TkjlUXkej5sKD0/qz8WAVh8rrmdQvhA055W12b1MHhJIaYS9mhdUN1DeZCfN1c3DcATh7YChf3jaWrJJa/D1cSI30JdSJ4cBR8QqBOS9LI+z6Mvb7T+Cur3PZXSg7T5w/NJKHr1xGaOMBGU0GJskM1eMhqJ9cHv35j7Z9yVZaO2A0tmtKbDBKoVvxLOT+Jsfy1stM04veA68wWdiuOWkOrDi1qMi1iWErjZXSJF0J4kmNEsROotMJLh8Vw+ZDlWzMrUAIuHpMrEMXilb2FFazYr+tu0NH5xdXg44Wi4Wq+mZ829Usuhr13HdWP+79fEubGALkVTbS2GImOcSTfcVyOXJK/xDCfdx5ZMYA/rcsi5LaJgZF+HD7pET+b95W6pstDI70ZfpAHYvOg8c2urMit4Ff9hRzxegYqhtMTB0Yisls4aKMSNKi/PnP4kyGx/qz5VAlv7RLFrpxfDzzNh1mv1X0bpqQwMbcCkxmC/9dtp/bJiVy9qAw/NyN9AvzbosQm1vMLN5dzF++2UFpbTNn9g/h0RkDHAy1XY16hsX6Myz2BBJJLBYpRklnYRYGPvhuJ7vbGQV8tfkwZw4IYeaQUcf/Gq0YXKSP6vR/wVc321xk0i6DA7/KmsiOkZ7eAKNvl70cDa4w4QHZxePXf8kl3cl/hB3zIf0K6YHq4fxvS3GS4+Ytb7TMpg7jfn0yHUXnEc72sU42MjIytA0bHB1O+oKqhmZyy2QXifggT1yNztsHLdxRwG0fbgJgdHwAMwaH8/fvd9NstuCi1/HHcwew5WAFwT6ujE8KZlxSUFuX+rLaJma9tLKtc0QrD0/vz9yhkewvqcXFoCM20IO/fL2TdTnl/P28VA5XNhLp58qdH2+xixhnDQ7juZYnORR/EV/UpREd4Mmm3ApSQr0ZGO6Ni17H/pI6/vTNDjQN7j0rmX8v3mf32ka94OaJMmkG5N7idWPjeXV5FgDergZ+vm8i4b72+3BbDlZw/qu/2RnLTEsN4z+XpB3Td7VLlO6Tffn2LoS4cVSNfpDZ72eTW1Zvd9jNExN4dMaA7ntds0nWLxbvAVOdbEZcWwTTnoa48c6TdIp3yxKNedfbmwy4eEoXmpXPy9KS9Mu7b56K3sNsgjWvwqI/28ZG3y5veLpWR9qLnaAVoCLELuPr7sKQKJdjHpcU7IWbUUejycKI+ADeWXWAWyclYNFkJujbK7OZOzyaqgYT1727nq9vH8vgKD9A7r9dOTrWzj0GYFiMH8E+bgRblxKLqxv5LbuM2AAPPll3iLUHyrhjUpKdGAIs319K0eQLKPEZRGmhif8tt/WvGxrtx/3npFBa19QmWmYnN0kms4a+XQpWo8mCQS//f02P8uW2SUlsO1TJmuxyUkK9GBjugxCCA6V1Ds3uf9pZSHH1AGICT+DPr65MZpVqZvCNha/vgDxr4kLFAbwq85mY9Fc+6CCIQyK7uTuE3igdZ8IGy9KOxLPkl97RkmJCBsiyio6OO811slkxyM4RA2Y5d8dRnNzojZBxndxfrsiVnrBhQ5SpwimAEsQeIjnUmw+uH8U/Fu5GJwQHyup5ccl+u2P8PIx8s+UwZovGvuLaNkEEuGBYFM1mC+/+loO/h5GHpw8grd3zAL4eRsYlBrH9cBVJIV40mizo9Y43lWlh7uz3SGNLiSvzN9tHfpsPVbIpt4IYf1s9ZHOLxcFxJjXSh6xiW+bo6IQASqqb+PPMAazJLufNldmckRLCb1mlbMip4IMbRjIqIdDOwq6VKH93vFxPoNt7eQ58c7tsWgtw9t9tYmhFf2ApV1/9HOtyvNhbJJd556RHMCKuB2v7DC6d7/TgESSXTdu3WNIZZLcIADd/EJ3437OmGOpLpHWct6Mzj6KPcPWG2LHyR3HKoMouepAR8QG8f/1Ipg8Ow8/DPnnDy9WAl6uBrJK6tsftCfN14+4zk/npnol8eds4zhkU5rA862rQc9eUJHRCCrCXq4Gs4lrGt7eCczdy72hf/ry4BF93g0O0BhDq44aHq55xibL27cM1B7nnrGTGJATg42bg3MHhPDJ9AOV1Tfi4Gbg4I4q/z0lldnoET/2wh0W7isgpq2fTwQqmp4ah1wme/TmTuqYWBkX4MLm/rSuDQSf425xUAtploTY0mzlYVk95XZPD3Jyyf7FNDMEqJI43AsnNe/noxtF8cesYvrljHH8/L5VQ3y6UVvQkgUlw7vOyiwXI+Y+7G3Z+JX+feD+4HGOuuavgrbPg1bHw5hTIWdnz81YoTmPUHmIvsTqrjHs/20JhdSMh3q7cMTmJF5bso7axhZlp4Tw0rX+nsiozi2pYnVVGeV0zYxMDSY/2o6rBRGF1I9UNJlrMFoTQoaHhYmnCX9+Ai9bIn5fXc8HwKOZtPGTXEzDK350p/UP4YE0uf5k5EF93I7ll9Rj0gmaThf7hPrz+axZjEgK5c0oStc0tBHq4YjToeHHJPp5flMn14+Iwa7D+gFwuHZcUxItL9vH1HeMI9HKltKaRXQU1VDWYSAz2pF+YT9t+6b7iGv65cA9L9hQTH+jBE+cmMy7MgvCPOdJHAF/cADvn2R5P+bNcPt32mW0sfqLsz9fTXSGcUVcqU+0bKyEwGUIG2pZC29PSLBseVx+Wy2ll2bIwP3GSrJnsaBfXnopceP0M+wxXNz+4ZXlbdw/FKY/aQ+xllCD2IkXVjZTWNuHnbqSkpomi6iaqGkws2lVITKAnKaFe1DW1MLlfCPFOnGX2F9dwyWtrKKuzubG8eXWGjCY/3UxWSR2+7kb+ccFghsX48em6Q/zv1yz0QnDLGYnklNURYm2EuzyzhLQoP6L8PfjP4sy2fcf7pqbwn8WZtG5Dnj0wlLhADy4fHUtcoH2JyKvLsvg1swR3Fz1L9xS3jYd4u/LnmQOYOSQCcRTnl9pGEze+t4E17eo7XfQ6vju7in6+Fmmt5qyDxKYP4Ns7bY9jx0L8ZMACVYfknk1tMSRPlUXwvUXBNlmLWFsE3hGyvrDyoGz6m9TNPbFzVsK75zqOX7MA4id072udimgaVB4CNPCNdn5DcvKjBLGXUXuIvUioj1tbFBjp78Hrv2bz1A8202d/DyOXj4rlwXnbeOGydCL87H1ON+ZW2IkhwHM/72V0QkDb0mtVg4mH5m3loekD+M8S237h84syuW9qCi8t3cfE5CD+OKM/Lyzez6frpXepq0GHyWyhqLoRH3cjldaWTr/uK+HuM8fi525k4fYC5m3MIz7Ik/OGRjIhOYjmFrNDRmpxTROuBv1RxRAgv6rRTgxBtovKbvan39cXy7KFqAzHExMny5ZQO+bLx3pXSDwDPr8WsEi7rP6zHJ1pepKCrfDOdJkYA3Ip9Oy/w89/kkbkNy4Gz6CjX6MreATIpWLNDPGTZNuowh2qVANkhL7pfVnOollg7B9gxI02z1uF4ggoQewGKuubWbW/lM83HCI+0Iu5GZEMjvQ74vGappFZVMOLS+yFpKLehFEvWJ9bwa78agdBrG92LNquajBR22Q/nhrpx7dbDjscuzO/iuQQb5bsKaG6oYUgbxcSgz2ZOyyKqgYTrkYdKSHezNuY13ZOYrAXC3cUkhrhw20fbWob/3T9Ib6+YxzjkgJ5ael+h8xWd5djJ814uOjbWke1x1dvFf3yHNnWqTIXXLzk7zo9+EbBrBflnptmgYBEWWh/w89QngVGDymmvWl/lvmTTQxBzivzJ9lK6uBq+Vx3CmJAEkx/Rran2vM9bPkIYsfhdJP4aNSVgLnF5rt6OnBgOSz5q+3xr8/IvpjDruq7OSlOCZQgdgPfbs3nL99I4+jllDJvUx7zbhtD/zBH67HmFjPfbysgs6jGqZdpK866U6RH+6HXCbuC/evGxfPFBvsOFUXVjYxKCGBdjr2DSkKQJ8Ni/ahpMuFi1HFxRjQ5ZfU8sWBX2/dolL87fzsvlb8v2IXJrHHh8Cie/H43d5+VbHet2qYWtuVVMmtIBNeNi+eNFdltzw0I98agE2zPq6S6wUSwtxsJwZ4Y9PbLVlH+Hjw+axD3fW5z35mR7En/EqsRtk8YvDsLineA3kVarQ2/RmbwuXpBeJr9B+QXLX/6goZKx7HmGvAMhX4znfZmPCEMLrJp8NvnyCVakAX/5dmyybFX8NHPb6qBPT/A0ifAVA9j74b0y8DrNIiidnzlOLb1E2l4cGounSp6CSWIJ0hxdSMvdSinqG1qYWd+tVNBzCyq5b4vthLp587FI6J5Z1VO23O+7kbMFo3Bkb6E+jh6gUb5ufHU+anM35hHWV0zs9IiCPd14y+zBnHtO+vaorQR8QHMTovgh+2FbaUTwV6ueLoaMOr1PHleKoMifHhzxQGW7im2CyryKhooqm7koWn9MVksvLhkP34eRuqaWhzmA2A06LhlYgLp0b4s2V1MkLdsJZVTUs3jC/bS1GLBqBf844IhzEmPwNhBFGcMDic+yJPs/BKCGg8wqOQbAnZ+BGc+Dr+9JMUQpNfnz3+UVmdx4471z3J8VB1uF2H2c+ymcTT6TYc1r9iPpc4FhEzw6YpxeGepOmQTw1ZKM6Vt2LEE8dB66bDTyuLHZFJOxrXdPMk+IDQV9nxnPxaWpsRQcUyUIJ4gQuB06/tI/+tll9SiaTbhufvMZDbklBMb6MHgKD8OlNRx3bg4B2szgN2FtSzYls+IuAByy+t597ccKutNjE0M5Jm5Q8guq8NVryM92o+d+VVcPSa2LZuzucXCS0v386dzB1BW20yglxvTUsP4ot3yaCv1TWZeWrKL+6amUFHfzH+vGEZNo60mUSdg2qAw4oM8qWk0EeTtSlq0H68uy6KqpoYHxvpy4af5bVZ1JrPGI19uY3CkD/063CS4GfUMjfFnYLg31WVemBKTKBx9J2HuwC9/d/wAK7J7RhALt8NHF9n6E6ZdBlP/2vmIKWqk7NH467OyT+KAWbLF1P4lMOJmOOfvsu6wOzF6Oo4JHbg49th0YN/PjmMb3pKdP1ycXPdUYuBsmdBUWygfewTAUOX6ozg2ShCPQqPJTE2jCX8PF4flPk3TKKttxsNo4N6pyTz6pc39xdvVwKAOjihmi8a+ohosFg2dkB0dftheiJuxmCn9QrhtUiI1jS0MjfYjJtDDqQF2VUMzw2MD+E+HJJbfsso4a0AoLy/dz6R+wazcX8rACB++3nyYinp7P0VNg6Exsjg9wteNucOieO1X23KnToCPu4Fms4WK+mbm3zqG1Eg/6ptbMJ8Pi3YXMic9kg9X53LBq78xNNqPx2cPwsvVQKp/C48PqWTH4Xzqmu0F3WTWKK5pol9Y+/djorrBRENzC68sy2J1VhkZsf6kx/gxwB/Gh6Uh8js01/Xugb0uUwP88g/7Zr1bP5HdLPpNdzy+xQQ1+TLqa10KNbrKrFZ3P1j5bxndtjYQ3vAmjLheOtR0J0HJsrRk03u2sXH3yBrHY+Eb6TgWEA+6Y7swnfSEDoTrf5TdRjSLjBgDE/t6VopTACWIR2B7XiX/WbyPbXlVnD0olBvGx5NgLYU4XFHP5xvy+HT9QaL9Pbh3ajJvXTucT9cdIi7QiznpEaSE2pbbcsvq+GB1Lt9szSchyIN/X5LO49/upKLehKbBxSOiiQ449l15QrAX+0uc9xmMD/LkwuFRRPu78+/F+9hfXMuNExJ49ue9bUuis9PCmZASRJy1w8bWvGqqG01cPy6Ob7fmE+DpwkUZ0Xy67iA6ARH+7gyzmpeX11l4btFerhsbx9ML91Bg9VnddLCS699dz/zbxvJgbCZuhbmEEIaPmx/VjbZlVhe9jsMVDbyydB/TUsOobmzh8W93sjWviqHRfsxMC+fHHYWsPVBOTKAHWXo3Bk9+Cr95F0GTtWtE2uWO+4bdQWMVHFrtOF6W5ThWkQMr/g1bPpRJMtP+CSnTbOUhjdUyyaU9mkU2Ie5u3HxkDeaAmVBxEAITIHxo5yLRpLNg1QsyqQakKfroO2RXjtOBgHjVWULRZZQgOiG3rI6r3l7XVnrw0dqDZJfW8vpVGXi4GHhnVU5bG6ii6iaufWc9X90+jjeuHuFwrUaTmWd+3MP32+XyTUlNE9sPV/PsRWnsKqgm1NuVicnH2O+x0j/Mh+oGEyti/OwaBSeFeDIowofxSUEUVjewaFcRO/Kr+XLTYe6bmkJTi4UBYT6MTQzE39MWAVQ3mvhk3SGi/N156vzBfLf1MEt3F3HBsCiaTGaCPF0oqm4g1Mcdi6ZR32ymscXSJoatlNY2k19WxZiNL0H6ZcTs+ZR3znuF238oo6i6CXejnjunJPHyL/vJq2jAZNF477ectuh186FKSmqbeOicfpTWNfPNlnxcDDr8JkYx9bqleNbkyC//4P7g1s1epCCbCCdMgR3z7MeDO3SrsJhhzf9g07vycU0hfHENXG/NJgVZ/uAbLff3Whkwu+e+nL2CIfnsrp8XMgCuWyjLRVqaIHyw9NtUKH7HKEF0QnZJXZsYtrI6q5xD5fX4uhv5YE2u3XMmsyyjSHViHH24soEfdhTajdU3m9lTWM3LS/fzz7mD0VkzR/cV13C4ooEgL1eSQ70clk31OkF5XTOXjYxhVEIAv2aWkhblx+iEAMrqmgjxcSM6wJPHZw/i+vfWk1VSy3M/Z3LFiEjSkyz4G7wAmyAmhXihE3I/87Fvd3LrGQnUN5v55482U/Ep/UP414VDCPd149YzErFotiXf9ni7GcHgyr7AM/k+YjJbNjRw9/hQEoI9WXXQxIdrcimsbmR8UhDBXq4OS7nldc1oAv67zBaV3fPlXt6f5cPElBgpND2FwRUmPgBFu6Bkl9yHG3MnRAy3P662CLZ+7Hh+0S6bIPpGwRVfwMb34eAqGHg+pJ5/cu7LBSXLH4VCAShBdIq7k5ZOLnodrka9jFw8jBRV2/tuehyh7s5Fr8PDqKeuQw2hXgiuHxfHpH4yOly8q5A7Pt5s5xhzw/h4PDt4nAohWLa3BJPZQrC3Kyv3l/LxuoOMSwzkv1cOw9fdBW83A9eOjSPV30JwzS6Sc5/E6/2fMY+5G/0ZD4CbDwVVDRwsq+efc4fwP2sLJ6Nex0tL7TtsLN1TzN6iGsYmBnHZyGjWHSjnqtGxvLfadlNwy8QEEsP8OTztba6bX0Jepfxslu2v4LqxMWzMraSy3sSfzx3Iz7sKqWywF0OAUfEBfLsl32F80UGYqFvSs4IIMmK69jvZxNXoIfecDB1ccoye4BsDjdvtxzsWw4cMgGlPQUtjz2SXKhSKHkEJohNSwryZnBLML5m2Brl3TkkiNsADg17Hn84dyF2fbG57LjFYLlk6IzrAg4em92+rUwRZT3jOoDASg70wGnQcKq/nwfnb7Yrbn1+UycSUINKj7bszDIrwIaesjmd+tBeuVVllZJfUMTTGhcOVDRjrizh7201yWc+KfvULMGA6TREjeXHJfj5Zd5AXLknj8pEx7CuuIdTHzWnxf2mtLJQP9nbj3CERDIz0YWxiEAVVjUQHuDM0xp/K+mYO6iJAlNmd+8GaQzx3cRrb8qp41drEuMWsMXdYJPM32cwDzuoXyLL9FUCV3fmhHpostB51a8+kzTdUQf4mmYDhGyOdcZwlnAC4+8ps0Q/ngsW6PxqeDpHDHI8VQomhQnGKoQTRCQGeLjw1dzCbD1aSW1bPwAhv0qP82zJNpw4M4bObR7M1r5JgL1eGxfofNSnmgqGRJAZ5sSO/igg/N4bF+BPZrt1SVYPJrtVSK7ll9Q6CGBvoecyefmE+7tR5mOzEsI2aYg6W1fPZ+oOMTQzk++2F6HSClFAv1maXMTIugHU5Njs1Dxc9FXVN/JZVyqj4QHLL6rju3fVtjXdDvF155sIhvLMqhwOldfx/e/cdHkd1Nnz4d7ZKW1R31XuXLXe540IxBtM7poRuWkJCCiS87xdIXpIQAgkQWmghlNB7xxRjsMEV9yJLlizJ6r1r23x/zGql1Uq2ZUuWy7mvi1gezc6ONut9NGeeMifThsWo9yvUz4iy4PEoPOu977p2TyOWIB2/OjWLCJOeDOdOxhb8juzcn/HNTg0Ot1quERKs4+Swalz2eehGIhh6PPDji2p9Y4+0E+GCp8E8yH3dlLlww1fqQGCjFWLHq8ukkiQd9WRAHERsaDCx4wb+DT9Ir2N6WiTT0yIP6FiWID2zM23Mzhy4dVd0iJHE8GDKGjt927QaQU1LF7WtXdit/kt3efGhzEiN8OsDOjMtkjRv9mhGlBlXVy6rgt4AZzvpzauxbXpC3TE82Vc3OS01gldXl3HmhFge+bIQIdSl2jCTnu8K68iKtnLL/HTaHS4Kq9uwGHRs3tvsN4X+4qmJ3PbKj76M0tLVHZySG8W01Ah1eXVmMllRVhwu/847y3bWsryglo9/PoecdgN8t5J0+zj+edGVVNc3YHS3MUlfSlzVcvbm307yAb3SQ9RYEljruPtrdaJ96iABUaNR0/gNFjXJZrDAKUnSUUcGxCNASJCeu88ayz0fbKW8sZOQYB03zU3nxR9KmZYaGRAQw0wG/nrheD7fWs3XO2s4KSeKBWOiCTUZaO10UtHUye8/KWZDmRMwMC5mAY/MySLVZoaoMSSh5bJpSSgKLMyL8fUuVRR48PMCJiSE8tAlEymsaeOWl9fj8ihEmA08cNF4Kpr8J9BrBH7lFQBf7qjhnrPGMis9knmZdvQ6DRlRFi7OT+D1tb2NAG6al05qpBliToQly2lvU7j1X9uYk2rh4jQXRe4Y/tpyOac3WQ4oIHY53RTWtFHf1k1ChIk0m3nfDcbdXWoNYn/dbYM/pr0WVv1LLVnwuGDiFTDvjtFrGSdJ0rCRAfEIUFjbxq7qVuZm2omwGOhyuvn3ihJau52EBA38f1FypJkb5qZxw9w0QO2R+vWOGj7YVEFShIkNZU2+fTdXdfLxuJncOj4HACPw05My2VbZzPaKFrT9gsbG8mYqm7u4/7Pe+5QN7Q6eWFbEnQuzeWxZ73KoaYAEJKNOQ6TFQLvDxYbyJoIMWrKjrdxxWg6n5cVS1tBBms3MuITQ3qHHkWlEhbo5d1Ibb64r52tvsqkQ3fx0YWDXnv46HC7+s7KE+z9T6y6D9BqevGIK87P30UM0NBHST1ZHNvlOPkRtDD6YkhXqFIUeP74AUdlqVuqBcrSr46mCQsB0YKsMkiSNPNnc7yD1jEoarMdnXxvLmvjjB1u57ZX1LNtZQ0e/xzS2O/hqZw1Oj4dHvyrkmW+LqW3r5q7Tc31F9PuzoayZa/+zhjmZdtbtaQz4/rdF/bepdYUZURauPcG/Ri7MpCdmgF6qG8uaCTcb+OfiiYQE6zBoNeTEhpAT49/z89rZqSzdVs39n+7kDx9s4+xHv2NlUR02i5GTcqK4alYKc7LshJn8u6IYdFp+emIG50yMQyPUpeQnLp88aMJSXwVVbfz1094mBF1OD795YxOVTQNcAfYwWmHR3yD/OjUwpZ0EV74Dtn10etm1NHDbptcHvtIcSM0OeOMaeGQiPLMAdi8b+oQKSZJGhLxCPAjFtW08810xH2+uZGJiKLednIXD5SE0WE+qzdx71QNs2dvMxf/63tfX8/2NlTxx+WROH9fbgiwh3MT2ylYMOg2/OlUtpLcadZycG7XfmYI91pQ0kBxhYtXuenJjQ/h2V53f9xeM6e3J2drl5E8fbeeDTWqrsvMmxXPf+eP4dlcdaXYz87LsNHY4uHJGMrVt3Xy1vQaH28O01HCeWl5MdWsX956TR2lDB43tDmZn2DhjXCzNnU4yoiyEBOlp6xP0nW6F37+3hTdvnkWEed9dVFJsZu6/cDy/XJCFyaANWC4eTHWLf7OA0GA9Oq2gscNBbNg+sj0j09UxSvPuUAPk/uoFY8fBhn7b4vPVmYz709UCH/yitytOQ5HaP3XJN2q7MUmSRpUMiEPU3u3ijx9u4+udtei1grlZUdzwwlrq2hxovEkpV89KxeJd6vxhd70vGGZGWTh/cjwK8Pb6coL1WsbEhZBiM/PUlVP49RsbWVFYT3KkiQcvmuCXidqj0+nG4/FgNvq32AoL1uN0K7gVhS6nm3lZdr7xlo3MybRxSm40pfUdNHU66HK6fcEQ4J0f9/LBxgo+vT6HDFsw29q0vL+xjvc3VhAfFsxvT8/hsy2VzMuO4k8fqQONvy+q52cnZVJY287Hmyu5cmYy722ooK69G0WBvLgQHr50IsV17RTWtPHR5krau930JOMWVLeyqawJp0dhfEIoY+N6M2eNOi3JkUMrZE8ID0YIMBt03DQvnfr2bjodbhra1Z83aIClXR+tDqwxg3+/r4xT1EkYdd7lZLMN8q85sJKQlr2BLeLcDqgvlAFRko4AMiAO0d6mTr7eqQaa08bG8OrqMjodbt+cwgc+L2B6aiRTU9Vi7Z7ZhUkRJk4fF4MQgrve2ezrhBMdYuTF66YzK8PGu7fOpqHDgc1ixGbxv+Lodrr5fnc9j35VSIfDxZK56ZyYYyc0WF12nJ0RyaNf7yIzysoDn+1kVnokv/DOMJyTYWPz3mZ+99ZmWrtd/GZhYJG7y6PQXLwW5/YNPN95iS/5pbnTyV8+2c79F47njjc39Z6Py0O3y01BVQt/vWA8t7+2gfp2h+/7WypaKKnv4KEvdjE5KZw/nD0Wu1X9mbZXtnDJU9/7BgMbdRpeuWEGk5PVEhOPR0GjObAr4x6Z0RYeuHAClc2dPPVtke/Yr64p45mr8jkld5jm/EVmqMuqNdvA7VSL8A+0LZverLae6/KvtSQ4fOD9JUk6rGRAHCKjTkOwXkun082U5HDGxIVQ1+bAYtTR1u3iuRXF7G3qpKer6Yy0SAxaDWdPjGPp1mqyYqx+beGqW7pZurWKrGgrUSFBRIUE0dThYN2eBlxuhTS7BbvVyI9lTVz97zW+x/3itQ38c/FEJiaEs3xXLZv2NvPrU7OxmQ08vHgiP3q7w8zPthOs1/I/72yh1buMWd7YQarNTHFdb6Pw3OhgUpq/oSokhbdW9BbMg7rkWdbQidPtf69Lp9UwPjGMjWVNNHY46M/tUa+M15c2ctrYaN9V2udbq3wBC9Tg+sL3JYSb9by5tpxVxQ2cNSGOBWOiidvXcmePukIMW97m/LoCno/6jd+xAf6xtIDpqRFqe7nhEBo/ePH+voQnqc3A372pd9vY8yFKXh1K0pFABsQhSoow8ZuF2Tz2dSEOt8ev72dGlIWfzEzx+xAfnxDKK0tmsK1CTUgpawhMvthR3er7uryxg9+9vdl3DzAnxsqTV0zhi23VAY979rtiJiY28fzKEgBeW1PGpVMTOW9iPPkp4fx9aQHPryzBbjHy85Mz+cfSAlq7XbyxtpzbF2RR3tDOyt0NzE/UcWXMHiK/eRr35NuJMGVR2+bfms5mMQT8PS40iEe+2oXdYmTBmGg+29p7jnqt8CumX1lUz5J56gieigESXcoaOnn4i128623ftnZPI1v2NnPvuXl+92QDtNXCW9dB5QaEMQRn0FWBu3S7fFfqo27suepVZkMhmKPUhtpmmWkqSUcCmWU6REIILs5P4KmfTOHJb3b7fa+wpo2caCtjYq1++09JDmdedhSl9e3MSIvof0hOH9ubYLOisM4vIWZHVSsfbKzAOkD5RWiQgW2VLX7bXl9bRm1bN7e8vJ4dVWqgrW3r5olvijh/itpRxa0orN5dz20npfHe5I38vu43ZCy7FRQPUZXL+N8z/JdUs6PVwvq/XjCO8ybFc+v8NJ66dAx58SF0OTysL20i3W7h7AlxWI06xsRa+d3pubyyutR3jHnZvQXsfROKepw/Jd4voAK8ub6c0oaOgH391BdA5Qb16+4WpoY0+oYi97hxblpARuuo0QdD4lR1AHHGyfufbC9J0mEjrxAPgiVIj90aRMsA7daCDVosAyzNdTldXHtCGiX1bVw6NZF3ftyLViO4dX46U1PDfYkfa0oCSyY+3VrF788cg8mw29drVCPgiplJ3Pii/wBdjwIeRfHriwrq2CmLUUdCeDDXzk5hZVE9t722maunn8ecfBsh6x5R25ZNuYaF4XG8ZAliY3kTGqEhPFhHfYeTez/aTkxoEK1dLky6RG49JZ4b56WxbGctBp2GOZk2LpqSgF4reOSrQt+YqJ6kHofLzZaKFjodbv50bh5PLi/C4fJw4eQEEsKD6XT691EVvv/ZF//f6cav/3+8fMY/eGKnmdpWB9eekMJJOfuoRZQkSfKSAfEgxYYEcXF+Iv/tcxVk1GnI7leT16OkroO/Ly3g3EnxZESbue+CcVQ1dTE5OYy73tlCbWsX181OY3pqhK9zTE+izsTEMO5+fwt3LcqlpdOJw+3hhAwb8WFBxIUGUd7UW3IwJ9NGt8uDEP7lbSFBOk7JiSI/OYzrX1jnW0JcU9LIAxfOZ9x5i0iIsGAOMhAEnJBpZ3aGjbZuFy+uKORvS9Wr4XJve7m3N9bwk9kZnJgTxY+ljTz0xS5AbVw+O8NGmEnPPWePYUxsCNkxVkKDDXy2pZKbXl6Poqjnc8WMZBLDg3lwaQEuj0K63UJRbW+XmMunJ5EUEZhp68eWCYkzfdmb2qYSZux9nsmLH8epCQqYFnLAFAUadkNbFViiISJdbdh9tKrfDQWfwp4V6vzEjJNlD1ZJ6kcoI1gULIR4DjgTqFEUJc+77R7gBqBnlMRdiqJ8vK/j5OfnK2vXrh2x8zxYZQ0d/Hd1KW+uKycl0sxvFmYxNSViwNrBtSUNXPikf8r9/yzK5a+f7vC7mnvmJ/lsKm/CoNPS4XARbjIQatJxx5vqyKFfnpLJDXPT2F3XTmunE71Ow/sbKlhT0sisjEgmJ4XR2uWiqrmLh77chaJATIiRBy6agMOt0Nrl5PW1ZaworGfh2GhyY0MwGbS43OrS5/87c0xAycMrq0r53Tv+I4/OmxTH3y6cwPsbK/jl6xv9vrd4WiLLC+rY29TJS9dN44RMO7WtXZz1zxVU9asXvP2UTP7xxS5Cg3U8f800alq72VzeRIrNzJwMG9GhB5BU01CsftiXfKeWRWScDGFJ+3/cYBQFdn4Mb9+gdpUxmOHcJyHnzJGZuDHS2mrgv5dCRZ/VhLwL4exHjsw5jVKPo/g3sKPTSF8hPg88CrzQb/s/FEV5YISfe8QlRpi4Y2E2185OwWTQ7fNqJDvayjWzUvi3NwEmJEhHh9MVsLT5/Ipi5mbb+fPHO3zbZmdEcnpeDJ9sqWJvYycfba5kbUkjNquRIJ2G0/OiuXBKPBvKmvlwYyWfbq0iPzmcp66Ygk4rEEJw/Qtr6XKqWZ9nT4jj/52ZyxfbanxXdpOSwpiRGsnra8r49cJsv6A+KyOS3JgQtlep9ytDg/Vcd0IaOq2GVbv9xz2B2tEmO8bK3qZOWrrUZeUupycgUQfUco9Um5lLpyZy00vrqG7p5pTcKM6blHBgwRDUsocZN1ORczWFNa2IWkGWpovokAMr6g/QUNQbDEH9850lcOO3R+dA3boC/2AIsOVNmP0LtdGAJEnACAdERVGWCyFSRvI5RpsQ4oC6qViD9dy+IJNF42KpbesmNdLE6n73C5MiTFyYn8Cdb/lfja0orOf2BVl8sqWKU8fGUNrYwYayJnZUtZJqMxMTEkRMSBAmg5ZNe5vxKLC6pJHVJev48Gez+d/3tviCIcDXO2rIjrHyfZ9g9mNpE3lxoWzZ20xzp9MvCSU50sxz1+Szs6qVti4XEWYDXU4XTR0OpiRH8Fqfht2gzmxcVdyAUach3a4uIUeHGDlvUrxvORjUJeHY0CB+dWomL6zcg8Wop5puvtheg0DwyOJJBA8yeLm/XdWtXPv8Gt/EkJwYC09cka82NB+qlsreYNjD2amO0zoaA+Kgq0CeQbZL0vFptNZ/fiqE2CSEeE4IMWBVshBiiRBirRBibW1t7UC7HBGaOx1sLm9iZ1Ur3a7A4bp9hQQbmJoawaJxseTGhTItNQKL96rylvnpzEiLpLK5y9fZpi+3x0O63YKCwlPLd/sySIvr2vnjh9tAwB1vbWbJ3FSyoi3kJ4fx29NyeGV1GePjw/jNwmzfcyVFmvixNDB5Z2tFCyfl2jENEIRiQ4MJNmj59ZsbueyZVVz45A/c8/5WJiWFMS+rN1Myw24hKcKE2ajl+WumkhWtNuY26LT87KQMFk9L9AZKM89fM5Uup5u6NidajYYxsVbuWpRLaLCepdurA9qx7cs7P+71G5+1o6qNr7YHlqocEGtM4HBfnRGsw1Tcf7jZsgJrHbPPgIi00TkfSTpCjUZSzRPA/wGK988HgWv776QoylPAU6DeQzycJ3igimrbuPPNTazd04hGwA1z0lgyL43I/fTr7JEbG8Ljl09mV00rX++o5bvCOhaOjWFiYpjftAqLUUdWtJWalG66XB5f9maPli4XdW3dXDs7ldpWB3nxoeQnh3PXO1t8+4QE6bhhbhr/WFpAaX0HZ02I44vtNX7HGRcfyqm5MRh0gQGxucPB3e9t9bvSfHdDBedPTuCRSydSWNuOy+0hOdKER4GfzEwmtF+pQ3KkmT+ek8fPTsrEZNCyvrSR2lYHT3xT5Nvnyx013DQvnf+uKsVsPLCrQ7fbww8DLN2uL23iugM6Qj8R6XDuE/DOjeDqVoPhOY9DxD6afh/JrNFw8Quw+S0o/hpyz4Kcs9TerZIk+Rz2gKgoiu/XdiHE08CHh/scDlVVcydFtW2UN3b62pElR5rZUdXKtr0tzMk68NqyhPBgtlW08F2hWnv4+bYqfrUgG7vVyMrCOsbEhXLLienc++E2imrbWTQuBr1W+HWNEQL0Wi0ri+owG3WcPyme5i4nZ46P5aPNlSiKGjS7nW5CgnTcPD8DnUYwKy2Sld5AMjExlIvy48mOHXiyREuXi519Ggj0qGntItRkZ0rygdX56bUaX+OC+jYHb673X27tcLhxeTzce27eATf21mo1nDkhjvWlTX7bT8o9yHILjQZyz4GosdBaqV4xRmYcnQk1PWyZcOJv1SbmR/PPIUkj6LAHRCFErKIoPZ2lzwO27Gv/I83OqhZueGEtpd6OMydkRPLwJRNZVlBLYU0bq0saSLWZSdhfuYBXmt3C5ORudBqBy6OgKPDA5zuZlBjGC9dOIzvWisWoZ0xsCO0OFxajOiLpH95kGIDLpyVR2dxJlreA/rdvq/cgJyaG8dMTM/jnV4UABOu1XDUzhS17m6htczAuPoRfnpqFAFLtFiLMgwc1m8XIidl2vtrhv3wdaTby0aYKEsJN5MRY991Vpp8oq5GBWpbGhgb7FfIfiFPHRLOxrIn3NlSgEXDZtCROyDiEDjAaDdiz1P+OJC0V0FQGwaHqFat2iP+EZTCUpEGNaEAUQrwCzAdsQohy4G5gvhBiIuqSaQlw40iew3ByuT38Z+UeXzAEyI4J4S+f7PCVE2ze20xpQwf3nT/+gBNCJiWFs2RuGo8v61061Gs1pNjMWLxTLfpmTE5MDOfXp2ajoJAYbmJ5QS3dLjfJkSZf1ijAhrImMqPVe3qVzZ3otIIHlxZy7ewUftjdQLrdwuSk8H020u50uClt6ECnEfzPolzq2x1sLGvGZNBy20mZPPzlLt/y7l8vGM9FUxIOuDF3ZrSFK2Yk8+DnBb5tIUE6piSHo9d6P7gb90DNVrXjQPSYQRtpJ4SbuO/88dw8Px2NECRHmjAOsPR7VCtfC69doV61avVw6r0w6UpZOiFJw2Sks0wXD7D52ZF8zpHU4XD7ZWaCen+vf23d+xsruGV+xqBF+v3ptRqun5PKpKRw1u9pIDPayrTUCCItA9+LnJ4WgVGvYUVhHZ1OFzfOTcPl8fDsdyUB+67f08R5k+IJCdbxzLfFTEuNQKMRjImzsmRu6j6DV3FdGw98XsBHmyrRaQQ3zE3jscWTaely0uVyc9srG3yF+gB3v7+FqSnhpNn3P+EeIC7MxPmT4kkMD+bTLVUkR5o5a0IcWdHe1612J7x0ITR7mx+Y7fCTdyE6b8DjBRu05MTsf5jwUamjAd6/TQ2GoE7a+OROiJuitoKTJOmQyU41Q2Ax6lgwJoqnlhf7tg0UTzRCoB3iylSEWW2Q3XeQ72CC9Fry4kLxKAo7q1r5rrCO4rp2xsaH8vaP/pMqZqZFcHF+PM2dLvLiQzFqhXo/0eXhnve3cfaEOE7MsQcM7t1d28ara8r4yDs30eVReGJZEePjQzl9XCzfF9VxydREul0egnRalu2sYe2eRlq6/CdN7E98uIn4cBPnThqga8r2D3uDIUB7LWz4Lyz885Ce45jQXqdeKffXXCoDoiQNExkQh0CjESyemsT6PU2s3dOIEBAVEkRurJXtlb0JJ1fPSiY+LIjmDgfWIP2QZ/vtj6IovLmujHs+2ObbNj01gsxoCzPSIvhhdwOg1jXGhgVz+iPfcdfpuZw1IY4NZU3c9uoG3wiqbwpq+e1p2dw0vzeDsr6tm+dXlrDKe5y+VhTVcWKOne921fFYnyXem+alE6TTEBe670QYl9vDpvJmvtpRgxBqpu2u6hampdqYlBTmP8i3alPgAfauo9vhpKShC7fHQ1KEacDescccU4RaJtHg31CekLjROR9JOgbJgDhEqXYLz16VT0l9BwadINVmZmZaJMt21rCpvJlZGZHEhgbxu3e2sKG0iYVjY7h0WtLBFYgPorShw2/sFMCq4gZmZdgINxm4a1EOIUF6tla08A9vn9Dfvr2Z7BgrG8ua/OYxAjz2dRHnToonxtsZpqK5k/KGDjKjLQGZpbkxIRTVtPN4n1IJgGe+3c0L104jaj/dYdaVNnLZ06t8vVSNOg2/OjWbxU//EDjIN/cs2Pau3+NrZ/wvj39WwH9WluBR4KRsO3efPTag3dwxx2yDcx6FVxarA4aFgLl3Drp8LEnS0MmAeBBCTQYm9KmxS7HpuNqWyurier7cXsPfPttJdYvapuxfy3eztaKFJ66YPGwDaruc7oDJEKAW73+ypYpZ6ZE8uLSA2lb/VmkVjZ0MNhawp5nJzqoWlu2oxWTUcfaEOFbtbvC1XMuOthIbGkRlc1dA8xOXR2F1SQM2q7H3HmA/Ho/CCyv3+M0m7HZ5KKhuJSE8mIe+KGBGakTvFV/qXJh7B6x8GBQPTLuZ1Y5k/r2it5PPVztrGbd+L7cvOMKyQUdC8mxY8g007YHgcLXgvn8DAUmSDpoMiMOkob2bO97axDkT4n3BsMd3hXWU1ncwNj50WJ4rPiyY2RmRrCjsTfAxG7QoCpw2NoYTMu18vLkyICBqNYLcWCuhwXqa+4yuuml+OrFhweyubeOyp1dR3+4A1IuQ6+ek0OFQp2fEhgbx6poyUmzmgGNEhxhp7HBSUN06aEBUgJYuJ+PiQzktL4ZOpxuDVoNBK9hQ1kR7t9t/kK8lCub/FiZepkbssER++GBHwHE/2VLJkrmpmI3HwdJpROqgmbaSJB0aGRCHSYfDTXlD54BJNlqNQK8bvvovS5CeP56dx7+WF/HpliqyY0L41amZxIQEER2itlj71anZXP7MKl8buLz4EMbGh2Iyavn7xRP4bGsVFU2dnDkhjlNy1GXKLXubfcEQICnCzF8+UZdm48OCOTHbzufbqgkJ0nH7gixe+qGUoto2cmKsXDI1kb99tnOftX9ajeCGOams29PE3z7rXfI9OSeKrGgLczLtAd1t0Gj9AsDYuMBfKqanRhCkl29lSZIOzTH7KVLX2s2ehnZMBh1pdvOI16RFWY2cOymeotp2JieFs75Pr9BrZ6eQEnlghfoHKj3Kwp/OHcftC7KwGnVoNIIgndaXwJOfEsH7Pz2BXTWtmPRacmNDCA3Ws6u2Da0QXHdCKimRJox9Aknf7jd2q5GSujZfG7nJSWG+bjotXS7u+2QHp+XFcPP8NNaWNPLnj7eTFG4id5BON2WNHawtbsAapOe574r9vvfljhr+uXgSJ2TY9vtzz86IZGpKuG+QcnxYEJfPSEY7zIlLkiQdf47JgLijsoVbXl7H7roONAKWzE3jxnnphPe/+hhGBl1PB5kC8uJCmJtlo6nDwYy0SPKTIwbsD3qo9DoN3U4P/121my+2VzM73cYlUxPJ9C5ZZsdYfbWQbV1OnlhWxD+/VrvWBOk1PHVlPnP7tJkbExfC9NRw5mdH0e5wk2m3EGk18O76veyu6yDFZqakvgNQ7/29t6GCKUnh2C0G/u+cPGakRZIQHhj4a1q7+PkrP7K+tImfnZRBa3dgaYZBKwjfR6ecHokRZp68Ygq7qttwuj1kRFmIDZP30SRJOnTHXEDscrr4+9ICdtepH9weBZ78Zjez0m1+H/4jIcVm5v4Lx1Pd3E2wQXPAvTgPVnOnkzvf2sSqYrU8YntlK1/vrOWVG6YHZHtur2r1BUNQ5xPe+dYmHrpkIhMSQwnS68iNDeGCKYl8trWK2NBgfv3mRpxuhXlZNu5alIPLo7C+T63h2NgQ5mdHkRRpoq61mzUlDbz0wx5yY63MSrf5AlVBVauvz+iOqlYmJ4X59R016jQBxfxuj0JFUycCiAsL9itdibQYB21aMFKcLg+769pp7HCQEB48YOCXJOnodswFxMZ2Jyu8S3t97alvBw49IHY63DR1OAg16TEZAl8+o05L0gDLo26Pwq6aVsobOoi0GMmMtvrGMR2sPfXtuL0Ddovr1Pl9RbVtFNW2BQTE/gk2AJXNXXxbWEe3y8PcLDv1bd08tLSAxdOT/NqpfVNQR1a0ld+dnsu7t85mV3UbRr2GnBgr0SFB7Khs5sUfSnl5VSkZURZsViOPfl1IbGgQ87OjcPVZiv1iezW/OTUba5Ceb3fVkhlt5Z6zxpAR1RsQa1q7ePH7PTy1fDdCwC3zM7h8etJhD4I92rtd/HdVKfd9ugO3RyHCbOCpK6eQnxIxKucjSdLIOOYCYqhJz9TUCJbt9G9CPRy/0W+vbOHBz3eyorCeqanh3LEwh7wDzBz9akc1N7+0Hpc3i/LWEzO4eX76QQfFhvZudla1EhVi5JL8RDwo1LU5WLW7Ht0AbXISwgOXFdPtFsobOilrKGdulh2nW0Gv1VDR1Bmw78ebq7hpXjppdovf1dy6PY18u6uWV1aXotMILpmayJ8/3u4ry3h8WREvXDvNl5WqKHD/Zzu5ZX46fzh7LGEmvd8wYoBvdtb6GpID/H1pAak2ta3baNhZ3cqfPt7u+3tDu4M73tzIGzfNGrUgLUnS8DvmWt+bDDp+fWo20SG9H1SXT09ifMKhlTzUtnZx00vr+GJ7DZ1ON8sL6rjuP2uoHCB49FfR1Mmdb232BUOAx74uZNcA45T2d5yPNlXwr2+K+Kaglk+3VHHGuFgqW7rYXtmKosDU1AjiwwKXarOjrdx/4XiCvZ1g4sOCuWJGEh9vriQkSA3K0SFGzp8ch22AD/nMKAutnf73/lxuD8+tKEZR1KXpGWmRfLalyq9GscPhZk1JA68umcGicTEkRgRzy/x0LpmaSIrNHBAMFUXhrX4joQA+2FgxpNdqOA30C8Luug6/jFxJko5+x9wVIkBefCjv3jKbkvp2zEYdaXbLIS9PljZ0sMebUNKjuqWbkvoOv6QOj0dhY3kTn22twuHysDAvBrNBR8MAH54DLWMOpqali9tf2+C7Xwjw7FVTeObbEr+G41fMSGZPQwfbKlvRaQQ5MVZiQoMx6rVcNCWBlEgT3+6qo77NwV8/3UGYScc5E+P5tqCWMLOBk3Ki2V3XzqTEMH70TrEIN+k5IdNGaWMHKfbejjBuj8Lexg5cbg/5yeEE6TU0dgT+nHubOimua+Pus8Zg0GoJM+kRYuCsUCEE4+JDfe3neiRGBFPV3OnrpnM4xQ3wnKk2E5EHkAQkSdLR45gMiACxYcHDmn1oMugQgoAOLf2num8sb+Lif33vK2H498oS3rppJul2M0W17b79tBpB4gHOTATYWdXqFwwBmjpcAdM3XltTyozUCH76yo8A5MRYePKKfFJsZuraHHQ5PaTZzGTHWEmzmUmPsnD1v9fQ5s38vGV+OskRJs4aH8tZE+Jo7nTicHl46IsCXr9xlt9zeRS47eRM1pY0kp9iYE9dB5OSwtla0eLbRwhIDDdxy8s/8vszc7n2hLT9/qznT47nrfV7fb9E2K1GwkwGPtxUyfVz9v/44ZYdY+V3i3K4/9OduD0K4SY9918wQS6XStIx5pgNiMMtzW7mxrlpPPlNb3PlK2ckkx7lnx358eZKv3o+RYGnvy3mwYsn8PNXN7CnvoOQYB1/OW+8XyLJ/gzUqq1vp5geTrfi155tR1Ub3xXWYdRruOONTXzrTTgK0mt4dckMbnvlR18wBPWe3+/PHEObw83DX+7C7VEQAv53US7pfa4Oyxo6uP/THXy4uRKDVsPiaUkEGzRMTg7j7xdP4LnvijEZdZw6JppXVqsTKx77uogzx8ftt99pbmwody3K8Y2W6nK6efSrQjKiLFw2PWnAZKaRZDbquGZWCvOy7DS2O0iMMMksU0k6BsmAeICMOi03zktnVrqN0oYOEsKDGZcQirnfh3OnIzBwtXQ5yYsL5a2bZ1HV3EVosH5IV4egFuKbDVra+xxfp1GXMxv7NOtWSxr8ryS3V7Zgtxp9wRDUsov1e5r8hh33sAbpKKpp5VenZmHUasiLD2ViYhjGPpMo3lhXxgfe0VDdLg/PryzhX1dMYWaaWlwfaTbwr+W7+csnO3zt2LQawSArpQHau11+w44BxsWHjtrQX4PuGJ61KEkSIAPikISbDPutZTxzQhwvry71W1q9ZGoSn26pJNVuITc25KC6qqTbLbx0/XT+sbSAwpo2Fo6NYV52FJOSInjoiwI2ljdxcm40p46J5voX1vo9dm6mjZp+Q4xBTRTKirZQUN3mtz0zysJZE+Jo6XQSatIHBKHmTgcfbKwMON760kYW5sUAEB8ezNaKFr/epL9ckHXAtZlzMu2k28wUectJwkx6rpwpO9JIkjRyZEAcZpOTwnjx2mk8810x3U43p+XF8vyKEtaXNqLVCJ69Kp/52VEHdeykSBNXzUqhpL6ddLsFa5CO5Egzj12uTrEPNxmobunigskJvLW+HL1Gw03z0shPjaCgyj+j9ZrZKXQ43dx2UiZvrCtj+a469BoN/3tmLjmxVoL0Wv/ZhH2Y9DrGxYf6ah979F0+zoiy8uoNM/hkayWl9R2cMT6W6akHXreXZrfw4vXT2VHVisvtISvaSsowjtCSJEnqTyj9s0SOQPn5+cratWv3v+MRxOX2sKGsicVP/+B3TzExIph3b5k9YEJGSV07Fc2dRJgNpNksGPo0BG/vVvuHvvjDHt+2a2encsdpWQGNrbudbsoaO9XEnfBgdFoN7d0u3v1xL3/5ZAdxYUGclB2FzWpkVXEDiqKwaFwsqTYT4xPC0QgGzQLtsWVvM1c8u8o3W3F8fCiPXj6ZpCEuBUuSNCi5HHKYySvEEaLTaihr6PALhgDljZ20d7uJ7JdP821BLTe9tI52hxutRnD3WWO4JD/Rd9+uqLbNLxgC/HtlMRdMiQ+YAGHUawMSdsxGHZfPSGZulp3WLicri+r5U58C+i+21/D45ZNp6azjxR9KMOq0XDkzmSnJ4egHKPTPiw/lvVtnU1DdhlGndq3ZX7KMJEnSkUwGxBGUarcElGpcOjWRSLP/y17R1MkvX9/oS5hxexTufn8rk5PCfZ1wBkrWURTo6A7cvi+JESYa2x1sKm8KKCF5Y20ZzZ1OX5/RT7ZU8tqSmUwdZKkzOdJ87E+qlyTpuHHMdao5koyJtfLYZZOxW4wIAX86L48Ik4HLnlnNo1/tYo/3Hlx9u8M3lb6HokBlc28GaHKkKaADTVJEMMkHMVYq3Gzwdazxe078g7dHgQ82jV6HGD/OLmgshY6G/e8rSZJ0EOQV4kGoaenC4fYQHRI04HJiD4NOy6JxsUxODqOl08Xtr23wFa1vLG9mRWEdT145BbvVQJTVSE2fzjUaoU556BETGszTV03loc8L+KG4npnpkdx+StZBL1NeMDmBN9aV+9UsLhwbzV3vbPHbT3ckZHXWFsDXf4Lt70NEOpzxAKTMBY38fU6SpOEjA+IQdDhcfL61mns/2kZzp5PF05JYMjdtv0XaMSHBlNbX+3VwAfh+dwMldR1MSAzj4UsnctNL62nudGLQavi/c8aS2e8+4JjYEB5ePInmTgdhJv0hTYmfnBzOq0tm8ua6MpxuhYvyE9D0W97VagRnjI896OcYFo52+PR3UPSF+vf6XfDyhbDkG4geO7rnJknSMUUGxCHYWN7ML17b4Pv7C9/vITRYzy8XZO03K3Ow+jmN93Ez0218+LMT1CxTk4E0u2XAxwQbtAQbDr0lnU6rYVpqBNP63B/sdrp55YYZvLWuDKNey/mTE5iYGHbIz3VImvf2BsMebifU7ZIBUZKkYSUD4hBs8ja77uu1NWVcPStlv30t0+0WZmdEsqKwt/fo6XkxpNp6ry4TI0xD7mAznIx6LTPTI5mZHjlq5xDAYILgcOhs9N8edGjTSyRJkvqTAXEIoqyBQS850kywYf/txMJMBu47fzzLC2pZVVzP7Aw7czJtWIL0I3Gqx47QBDj9fnj7ht5tWadBdN7onZMkScckWZg/BHvq27nhhbW+VmcGrYYXr5/G9NQj6IrqWOTshKrNUF8IpkiInUiLLoLWbhc2i2HU+ptK0gg7AjLaji8yIA5ReWMH2ypa6HC4yYpWe5Pu7/6hNLxWF9dz70fb2FnVxsK8GG47KXNIk0Mk6SghP1gOM7lkOkQJ4XL0z2jaVd3KT55bTZfTA8D7Gyqoa+3mqZ9MwWKUy8+SJB08WcglHVWK69p9wbDHyqJ69jYGTvOQJEkaCnmFeBzodroprGmjprWb+PBg0gcp6RiqPXXtrCppoKyhg6kpEUxOCjugJKHa1i5qWx2Em/TEhg2thMQaFPiWNRu0B5TYJEmStC8yIB4jGtq72V7ZSkO7g1SbmewYK3qthm6nm5dXlfJ/H21DUUCvFTyyeBKn5x1awf3exg6u+89aCmt7Zyn+6dw8Lp+RvM/HrS1p4PbXN1DW0IndYuSBi8YzN8t+wPdhs6KtnJIbxRfba3zb7jojV07ZkCTpkMmkmmNAQ3s3f3h/Gx9uruSqmcmEBuuJCQ1iSnI43S4PZ/7zO78ONFajjo9uO4GkQ2jM/cW26oBBxCHBOj79+Vy/lnN9VTR1cs5jK6jt06IuSK/h49vmkGY/8KSYmpYuNu9tpq61mxSbmbz4UMxG+buddMyRSTWHmfwUOQZsr2zlvY0V3DI/nY82V7KnvgNQA99fLhgXMNWitdtFQ4eTpEOoFulyBk7Z6Oh243R7BthbVdXc5RcM1eN4KG/sHFJAjAoJ4mQ5akqSpGEmk2qOAY0dDswGLW6P4guGoAa+9m4Xeq3/L5p2i5HokH131tmfrBhrwMSMxdMSB706BLz9V/3fckJApNlwSOciSZI0HGRAPAakRJqJMBv8pmX0+GBDBQ9fOgmrd0nRbjHy6GWTiA09tH6oWdFWXr5+OifnRJEUYeKXC7K4aV76Pqd/pESauffcPPreLrxjYTbpR1sNYVMZ1O6E7rb97ytJ0lFDLpkeA3JirNx91lgKa1sDvjcny86icbGMjQuhscNJdIjxkINhj8nJ4Tx++WQ6nW7CTPu/ytNoBGdPiCM3JoTyxk6iQ4LIirEQNMBsxiOSsxO2vguf/ha6miD9ZDj9PrBljfaZSZI0DGRSzTFkT307n22t4pEvC+lyurl8ehI3zkvf5zKmNASlP8BzC/23jT0fznsSdIe2BC1JA5BJNYeZvEI8hiRHmlkyN51F42JxexTiwoL3uYQpDVF9YeC27e/Bgj9AWNLhPx9JkobViH5aCiGeE0LUCCG29NkWIYRYKoTY5f0zfCTP4XiUEG4iOdIsg+FwM9kCt0VmgcF6+M9FkqRhN9KfmM8Dp/Xb9lvgS0VRMoEvvX+XpCNf3ETI7LNkqjXAovvBJH+nk6RjwYgumSqKslwIkdJv8znAfO/X/wGWAXeO5HlI0rCwxsA5j0HNVuhqhshMiMod7bOSJGmYjMY9xGhFUSq9X1cB0QPtJIRYAiwBSEqS92eKa9vYVtmCRghyY0NIsR18lxnpEFjsYJk/2mchSdIIGNWkGkVRFCHEgGmuiqI8BTwFapbpYT2xI8y2imYuf2YVjR1OAGwWAy9dP52cmJBRPjNJkqRjx2hkXVQLIWIBvH/W7Gf/4947P+71BUOAujYHH22q3McjJEmSpKEajYD4PnCV9+urgPdG4RyOKlsrWgK2ba8M3CZJkiQdvJEuu3gF+B7IFkKUCyGuA+4DFgghdgGneP8u7cMFkxMCtp09IW4UzkSSJOnYNdJZposH+dbJI/m8x5p5WXZuX5DJE8uK0AjBT0/KYHbmADVxkiRJ0kGTrduOEh6PQkVzJwKICws+4IG6kiQdteQ/8sNMtm47Smg0goRwORVekiRppMjeXpIkSZKEDIiSJEmSBMiAKEmSJEmADIiSJEmSBMiAKEmSJEmADIiSJEmSBMiAKEmSJEmADIiSJEmSBMiAKEmSJEmADIiSJEmSBBwlvUyFELXAntE+jxFkA+pG+ySOIPL1CCRfE3/Hw+tRpyjKaaN9EseToyIgHuuEEGsVRckf7fM4UsjXI5B8TfzJ10MaCXLJVJIkSZKQAVGSJEmSABkQjxRPjfYJHGHk6xFIvib+5OshDTt5D1GSJEmSkFeIkiRJkgTIgChJkiRJgAyIh50Q4jkhRI0QYkufbRFCiKVCiF3eP8NH8xwPp0Fej3uEEHuFEBu8/y0azXM8nIQQiUKIr4UQ24QQW4UQP/duPy7fI/t4PY7b94g0cuQ9xMNMCDEXaANeUBQlz7vtfqBBUZT7hBC/BcIVRblzNM/zcBnk9bgHaFMU5YHRPLfRIISIBWIVRVkvhLAC64Bzgas5Dt8j+3g9LuY4fY9II0deIR5miqIsBxr6bT4H+I/36/+g/oM/Lgzyehy3FEWpVBRlvffrVmA7EM9x+h7Zx+shScNOBsQjQ7SiKJXer6uA6NE8mSPET4UQm7xLqsfF8mB/QogUYBKwCvke6f96gHyPSMNMBsQjjKKuYR/v69hPAOnARKASeHBUz2YUCCEswFvALxRFaen7vePxPTLA63Hcv0ek4ScD4pGh2nuvpOeeSc0on8+oUhSlWlEUt6IoHuBpYNpon9PhJITQo374v6woytvezcfte2Sg1+N4f49II0MGxCPD+8BV3q+vAt4bxXMZdT0f/F7nAVsG2/dYI4QQwLPAdkVR/t7nW8fle2Sw1+N4fo9II0dmmR5mQohXgPmo42uqgbuBd4HXgSTUMVcXK4pyXCSaDPJ6zEddClOAEuDGPvfPjmlCiBOAb4HNgMe7+S7U+2bH3XtkH6/HYo7T94g0cmRAlCRJkiTkkqkkSZIkATIgSpIkSRIgA6IkSZIkATIgSpIkSRIgA6IkSZIkATIgSpIkSRIgA6J0jBJCzBdCfOj9+mzvhAhJkqRB6Ub7BCRpKLydS4S3ZdcBURTlfdROL5IkSYOSV4jSEU8IkSKE2CmEeAG1RdezQoi13oGxf+iz32lCiB1CiPXA+X22Xy2EeNT79fNCiAv7fK/N+2esEGK5d9jsFiHEnH2cT5sQ4m/e5/9CCDFNCLFMCLFbCHG2dx+td5813okMN3q3W4QQXwoh1gshNgshzunzM24XQjztPe7nQojgYX0hJUnaJxkQpaNFJvC4oihjgV8pipIPjAfmCSHGCyGCUJs8nwVMAWKGePzLgM8URZkITAA27GNfM/CV91xagXuBBag9Nf/o3ec6oFlRlKnAVOAGIUQq0AWcpyjKZOBE4EHvVW/Pz/iY97hNwAVD/BkkSToEcslUOlrsURTlB+/XFwshlqC+f2OBMai/3BUrirILQAjxErBkCMdfAzznnazwrqIoG/axrwP41Pv1ZqBbURSnEGIzkOLdfiowvs/VaChqwCsH/iyEmIvamzOe3tmGxX2ed12fY0mSdBjIgCgdLdoBvFdZvwamKorSKIR4HggawnFceFdGhBAawACgKMpyb5A6A3heCPF3RVFeGOQYTqW3CbAH6PYewyOE6Pk3JYCfKYryWd8HCiGuBuzAFG8QLelz/t19dnUDcslUkg4juWQqHW1CUINjsxAiGjjdu30HkCKESPf+ffEgjy9BXVIFOBvQAwghkoFqRVGeBp4BJh/ieX4G3Oy94kQIkSWEMKNeKdZ4g+GJQPIhPo8kScNEXiFKRxVFUTYKIX5EDYBlwArv9i7vMupHQogO1JFB1gEO8TTwnhBiI+qyZ7t3+3zgN0IIJ9AG/OQQT/UZ1CXP9d57hLXAucDLwAfe5dW13p9DkqQjgBz/JEmSJEnIJVNJkiRJAuSSqSQNSgixCjD223yloiibR+N8JEkaWXLJVJIkSZKQS6aSJEmSBMiAKEmSJEmADIiSJEmSBMiAKEmSJEkA/H/sshqsSTc0GQAAAABJRU5ErkJggg==)
%% Cell type:markdown id:6b8f6c82 tags: %% Cell type:markdown id:6b8f6c82 tags:
## Measures of Prediction Error ## Measures of Prediction Error
Supervised learning can be thought of as selecting among many possible models/parameters for the best one which fits to the data we have. Fundamental to this idea is having a way to measure error/coming up with a useful error metric. We want to select from among candidate models the one which yields the best predictions, in other words the one with the smallest measured error. Supervised learning can be thought of as selecting among many possible models/parameters for the best one which fits to the data we have. Fundamental to this idea is having a way to measure error/coming up with a useful error metric. We want to select from among candidate models the one which yields the best predictions, in other words the one with the smallest measured error.
### Regression Error Metrics ### Regression Error Metrics
Let's have a look at a simple set of predictions of life expectancy based on schooling in the WHO dataset. Here we've constructed a simple prediction where Let's have a look at a simple set of predictions of life expectancy based on schooling in the WHO dataset. Here we've constructed a simple prediction where
$$ $$
\text{Life expectancy} = 2.5 \times \text{Years of schooling} + 38 \text{ years.} \text{Life expectancy} = 2.5 \times \text{Years of schooling} + 38 \text{ years.}
$$ $$
%% Cell type:code id:8d3b2d06 tags: %% Cell type:code id:8d3b2d06 tags:
``` python ``` python
who_with_predictions = ( who_with_predictions = (
who_data_2015[["Schooling", "Life expectancy"]] who_data_2015[["Schooling", "Life expectancy"]]
# Add a column with a computed prediction based on years of schooling. # Add a column with a computed prediction based on years of schooling.
.assign(Predicted=lambda df: df["Schooling"] * 5/2 + 38) .assign(Predicted=lambda df: df["Schooling"] * 5/2 + 38)
# Discard for the moment any row where we can't make a prediction # Discard for the moment any row where we can't make a prediction
# due to missing data. # due to missing data.
.dropna() .dropna()
) )
# Plot both the predicted and actual life expectancy results against years of schooling. # Plot both the predicted and actual life expectancy results against years of schooling.
sns.relplot(data=who_with_predictions.set_index("Schooling")); sns.relplot(data=who_with_predictions.set_index("Schooling"));
who_with_predictions.head() who_with_predictions.head()
``` ```
%%%% Output: execute_result %%%% Output: execute_result
Schooling Life expectancy Predicted Schooling Life expectancy Predicted
0 10.1 65.0 63.25 0 10.1 65.0 63.25
16 14.2 77.8 73.50 16 14.2 77.8 73.50
32 14.4 75.6 74.00 32 14.4 75.6 74.00
48 11.4 52.4 66.50 48 11.4 52.4 66.50
64 13.9 76.4 72.75 64 13.9 76.4 72.75
%%%% Output: display_data %%%% Output: display_data
![](data:image/png;base64,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) 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)
%% Cell type:markdown id:44a6bb5f tags: %% Cell type:markdown id:44a6bb5f tags:
For each sample point in the dataset, we compute prediction error by finding the difference between the value predicted by our simple model and the actual value. Below these errors are plotted as a histogram. We can see there is a roughly even spread of over- and under- predictions. For each sample point in the dataset, we compute prediction error by finding the difference between the value predicted by our simple model and the actual value. Below these errors are plotted as a histogram. We can see there is a roughly even spread of over- and under- predictions.
%% Cell type:code id:217b3af6 tags: %% Cell type:code id:217b3af6 tags:
``` python ``` python
# Compute errors (difference between predicted and correct values). # Compute errors (difference between predicted and correct values).
errors = who_with_predictions['Life expectancy'] - who_with_predictions['Predicted'] errors = who_with_predictions['Life expectancy'] - who_with_predictions['Predicted']
# Plot the errors as a histogram. # Plot the errors as a histogram.
ax = sns.histplot(errors) ax = sns.histplot(errors)
ax.set_xlabel("Prediction Error (Years)"); ax.set_xlabel("Prediction Error (Years)");
``` ```
%%%% Output: display_data %%%% Output: display_data
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) ![](data:image/png;base64,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)
%% Cell type:markdown id:f99aeb1f tags: %% Cell type:markdown id:f99aeb1f tags:
From these errors, we can compute a single statistic representing the prediction error of this model. This is typically the Mean Absolute Error: average deviation of predictions from the true value. Mathematically: From these errors, we can compute a single statistic representing the prediction error of this model. This is typically the Mean Absolute Error: average deviation of predictions from the true value. Mathematically:
$$ $$
\text{MAE} = \frac{1}{N} \sum_{i \in N} \left( y^{\text{predicted}}_i - y^{\text{actual}}_i \right) \text{MAE} = \frac{1}{N} \sum_{i \in N} \left| y^{\text{predicted}}_i - y^{\text{actual}}_i \right|
$$ $$
where there are $N$ samples in the **training set**. where there are $N$ samples in the **training set**.
%% Cell type:code id:e1bdbf41 tags: %% Cell type:code id:e1bdbf41 tags:
``` python ``` python
# Compute mean absolute error. # Compute mean absolute error.
mae_score = errors.abs().mean() mae_score = errors.abs().mean()
print(f"Mean absolute error is {mae_score:.1f} years") print(f"Mean absolute error is {mae_score:.1f} years")
``` ```
%%%% Output: stream %%%% Output: stream
Mean absolute error is 3.9 years Mean absolute error is 3.9 years
%% Cell type:markdown id:e74bc330 tags: %% Cell type:markdown id:e74bc330 tags:
### Classification Error Metrics ### Classification Error Metrics
In classification tasks, we break down several statistics based on the number of correct and incorrect predictions, and the number of those which correspond to positive and negative labels. Let's look at a small subset of the biopsy data to understand these metrics. In classification tasks, we break down several statistics based on the number of correct and incorrect predictions, and the number of those which correspond to positive and negative labels. Let's look at a small subset of the biopsy data to understand these metrics.
%% Cell type:code id:6609e150 tags: %% Cell type:code id:6609e150 tags:
``` python ``` python
# Plot a small set of 20 sample points. # Plot a small set of 20 sample points.
# .sample(20) selects 20 random points. Using the random_state parameter # .sample(20) selects 20 random points. Using the random_state parameter
# ensures that the selected points are always the same. # ensures that the selected points are always the same.
sns.relplot( sns.relplot(
data=wisconsin_cancer_biopsies.sample(20, random_state=162346), data=wisconsin_cancer_biopsies.sample(20, random_state=162346),
x="radius_mean", x="radius_mean",
y="texture_mean", y="texture_mean",
hue="diagnosis", hue="diagnosis",
); );
``` ```
%%%% Output: display_data %%%% Output: display_data
![](data:image/png;base64,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) 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)
%% Cell type:markdown id:1241e715 tags: %% Cell type:markdown id:1241e715 tags:
As an example, we develop a simple prediction here: all tests with a `radius_mean` value of less than 14 is considered benign, and anything larger is considered malignant. Below we plot a breakdown of the data by both its predicted label and its correct label. As an example, we develop a simple prediction here: all tests with a `radius_mean` value of less than 14 is considered benign, and anything larger is considered malignant. Below we plot a breakdown of the data by both its predicted label and its correct label.
%% Cell type:code id:393acf16 tags: %% Cell type:code id:393acf16 tags:
``` python ``` python
biopsies_with_predictions = ( biopsies_with_predictions = (
wisconsin_cancer_biopsies.sample(20, random_state=162346) wisconsin_cancer_biopsies.sample(20, random_state=162346)
# Apply a simple rule for prediction (based only on radius) # Apply a simple rule for prediction (based only on radius)
# and add the prediction result as a column. # and add the prediction result as a column.
.assign(predicted=lambda df: df['radius_mean'].lt(14) .assign(predicted=lambda df: df['radius_mean'].lt(14)
.map({True: "benign", False: "malignant"}) .map({True: "benign", False: "malignant"})
) )
) )
sns.relplot( sns.relplot(
data=biopsies_with_predictions, data=biopsies_with_predictions,
x="radius_mean", x="radius_mean",
y="texture_mean", y="texture_mean",
hue="diagnosis", hue="diagnosis",
hue_order=["malignant", "benign"], hue_order=["malignant", "benign"],
col="predicted", col="predicted",
col_order=["malignant", "benign"], col_order=["malignant", "benign"],
); );
``` ```
%%%% Output: display_data %%%% Output: display_data
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