{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3 Exploratory Data Analysis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.1 Contents\n",
"* [3 Exploratory Data Analysis](#3_Exploratory_Data_Analysis)\n",
" * [3.1 Contents](#3.1_Contents)\n",
" * [3.2 Introduction](#3.2_Introduction)\n",
" * [3.3 Imports](#3.3_Imports)\n",
" * [3.4 Load The Data](#3.4_Load_The_Data)\n",
" * [3.4.1 Ski data](#3.4.1_Ski_data)\n",
" * [3.4.2 State-wide summary data](#3.4.2_State-wide_summary_data)\n",
" * [3.5 Explore The Data](#3.5_Explore_The_Data)\n",
" * [3.5.1 Top States By Order Of Each Of The Summary Statistics](#3.5.1_Top_States_By_Order_Of_Each_Of_The_Summary_Statistics)\n",
" * [3.5.1.1 Total state area](#3.5.1.1_Total_state_area)\n",
" * [3.5.1.2 Total state population](#3.5.1.2_Total_state_population)\n",
" * [3.5.1.3 Resorts per state](#3.5.1.3_Resorts_per_state)\n",
" * [3.5.1.4 Total skiable area](#3.5.1.4_Total_skiable_area)\n",
" * [3.5.1.5 Total night skiing area](#3.5.1.5_Total_night_skiing_area)\n",
" * [3.5.1.6 Total days open](#3.5.1.6_Total_days_open)\n",
" * [3.5.2 Resort density](#3.5.2_Resort_density)\n",
" * [3.5.2.1 Top states by resort density](#3.5.2.1_Top_states_by_resort_density)\n",
" * [3.5.3 Visualizing High Dimensional Data](#3.5.3_Visualizing_High_Dimensional_Data)\n",
" * [3.5.3.1 Scale the data](#3.5.3.1_Scale_the_data)\n",
" * [3.5.3.1.1 Verifying the scaling](#3.5.3.1.1_Verifying_the_scaling)\n",
" * [3.5.3.2 Calculate the PCA transformation](#3.5.3.2_Calculate_the_PCA_transformation)\n",
" * [3.5.3.3 Average ticket price by state](#3.5.3.3_Average_ticket_price_by_state)\n",
" * [3.5.3.4 Adding average ticket price to scatter plot](#3.5.3.4_Adding_average_ticket_price_to_scatter_plot)\n",
" * [3.5.4 Conclusion On How To Handle State Label](#3.5.4_Conclusion_On_How_To_Handle_State_Label)\n",
" * [3.5.5 Ski Resort Numeric Data](#3.5.5_Ski_Resort_Numeric_Data)\n",
" * [3.5.5.1 Feature engineering](#3.5.5.1_Feature_engineering)\n",
" * [3.5.5.2 Feature correlation heatmap](#3.5.5.2_Feature_correlation_heatmap)\n",
" * [3.5.5.3 Scatterplots of numeric features against ticket price](#3.5.5.3_Scatterplots_of_numeric_features_against_ticket_price)\n",
" * [3.6 Summary](#3.6_Summary)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.2 Introduction"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"At this point, we have a firm idea of what our data science problem is and have the data to solve it. The business problem was a general one of modeling resort ticket pricing and, by implication, revenue. We decided, based on data availability, that we would model `AdultWeekend` prices.\n",
"\n",
"The data we started with contained some ticket price values, but with a number of missing values. This led to several rows being dropped completely. We also had two kinds of ticket prices. There were some obvious issues with some of the other features in the data. For example, one column was missing so many values it was completely dropped. Human errors in our data were corrected. We also obtained and cleaned some additional US state population and size data with which to augment the data set."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.3 Imports"
]
},
{
"cell_type": "code",
"execution_count": 220,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import os\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from sklearn.decomposition import PCA\n",
"from sklearn.preprocessing import scale\n",
"\n",
"from library.sb_utils import save_file"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.4 Load The Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.4.1 Ski Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's review our newly cleaned data set."
]
},
{
"cell_type": "code",
"execution_count": 221,
"metadata": {},
"outputs": [],
"source": [
"ski_data = pd.read_csv('../data/ski_data_cleaned.csv')"
]
},
{
"cell_type": "code",
"execution_count": 222,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"RangeIndex: 278 entries, 0 to 277\n",
"Data columns (total 25 columns):\n",
" # Column Non-Null Count Dtype \n",
"--- ------ -------------- ----- \n",
" 0 Name 278 non-null object \n",
" 1 Region 278 non-null object \n",
" 2 state 278 non-null object \n",
" 3 summit_elev 278 non-null int64 \n",
" 4 vertical_drop 278 non-null int64 \n",
" 5 base_elev 278 non-null int64 \n",
" 6 trams 278 non-null int64 \n",
" 7 fastSixes 278 non-null int64 \n",
" 8 fastQuads 278 non-null int64 \n",
" 9 quad 278 non-null int64 \n",
" 10 triple 278 non-null int64 \n",
" 11 double 278 non-null int64 \n",
" 12 surface 278 non-null int64 \n",
" 13 total_chairs 278 non-null int64 \n",
" 14 Runs 275 non-null float64\n",
" 15 TerrainParks 234 non-null float64\n",
" 16 LongestRun_mi 273 non-null float64\n",
" 17 SkiableTerrain_ac 276 non-null float64\n",
" 18 Snow Making_ac 241 non-null float64\n",
" 19 daysOpenLastYear 233 non-null float64\n",
" 20 yearsOpen 277 non-null float64\n",
" 21 averageSnowfall 268 non-null float64\n",
" 22 AdultWeekend 278 non-null float64\n",
" 23 projectedDaysOpen 236 non-null float64\n",
" 24 NightSkiing_ac 164 non-null float64\n",
"dtypes: float64(11), int64(11), object(3)\n",
"memory usage: 54.4+ KB\n"
]
}
],
"source": [
"ski_data.info()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We have 278 rows and 25 columns. All typecasting is just as one would expect. But what does the data frame actually look like?"
]
},
{
"cell_type": "code",
"execution_count": 223,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
Name
\n",
"
Region
\n",
"
state
\n",
"
summit_elev
\n",
"
vertical_drop
\n",
"
base_elev
\n",
"
trams
\n",
"
fastSixes
\n",
"
fastQuads
\n",
"
quad
\n",
"
...
\n",
"
TerrainParks
\n",
"
LongestRun_mi
\n",
"
SkiableTerrain_ac
\n",
"
Snow Making_ac
\n",
"
daysOpenLastYear
\n",
"
yearsOpen
\n",
"
averageSnowfall
\n",
"
AdultWeekend
\n",
"
projectedDaysOpen
\n",
"
NightSkiing_ac
\n",
"
\n",
" \n",
" \n",
"
\n",
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0
\n",
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Alyeska Resort
\n",
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Alaska
\n",
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Alaska
\n",
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3939
\n",
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2500
\n",
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250
\n",
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1
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0
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2
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2
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...
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2.0
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1.0
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1610.0
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113.0
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150.0
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60.0
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669.0
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85.0
\n",
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150.0
\n",
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550.0
\n",
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\n",
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\n",
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1
\n",
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Eaglecrest Ski Area
\n",
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Alaska
\n",
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Alaska
\n",
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2600
\n",
"
1540
\n",
"
1200
\n",
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0
\n",
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0
\n",
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0
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0
\n",
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...
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1.0
\n",
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2.0
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640.0
\n",
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60.0
\n",
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45.0
\n",
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44.0
\n",
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350.0
\n",
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53.0
\n",
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90.0
\n",
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NaN
\n",
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\n",
"
\n",
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2
\n",
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Hilltop Ski Area
\n",
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Alaska
\n",
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Alaska
\n",
"
2090
\n",
"
294
\n",
"
1796
\n",
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0
\n",
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0
\n",
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0
\n",
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0
\n",
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...
\n",
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1.0
\n",
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1.0
\n",
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30.0
\n",
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30.0
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150.0
\n",
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36.0
\n",
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69.0
\n",
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34.0
\n",
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152.0
\n",
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30.0
\n",
"
\n",
"
\n",
"
3
\n",
"
Arizona Snowbowl
\n",
"
Arizona
\n",
"
Arizona
\n",
"
11500
\n",
"
2300
\n",
"
9200
\n",
"
0
\n",
"
1
\n",
"
0
\n",
"
2
\n",
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...
\n",
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4.0
\n",
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2.0
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777.0
\n",
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104.0
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122.0
\n",
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81.0
\n",
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260.0
\n",
"
89.0
\n",
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122.0
\n",
"
NaN
\n",
"
\n",
"
\n",
"
4
\n",
"
Sunrise Park Resort
\n",
"
Arizona
\n",
"
Arizona
\n",
"
11100
\n",
"
1800
\n",
"
9200
\n",
"
0
\n",
"
0
\n",
"
1
\n",
"
2
\n",
"
...
\n",
"
2.0
\n",
"
1.2
\n",
"
800.0
\n",
"
80.0
\n",
"
115.0
\n",
"
49.0
\n",
"
250.0
\n",
"
78.0
\n",
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104.0
\n",
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80.0
\n",
"
\n",
" \n",
"
\n",
"
5 rows × 25 columns
\n",
"
"
],
"text/plain": [
" Name Region state summit_elev vertical_drop \\\n",
"0 Alyeska Resort Alaska Alaska 3939 2500 \n",
"1 Eaglecrest Ski Area Alaska Alaska 2600 1540 \n",
"2 Hilltop Ski Area Alaska Alaska 2090 294 \n",
"3 Arizona Snowbowl Arizona Arizona 11500 2300 \n",
"4 Sunrise Park Resort Arizona Arizona 11100 1800 \n",
"\n",
" base_elev trams fastSixes fastQuads quad ... TerrainParks \\\n",
"0 250 1 0 2 2 ... 2.0 \n",
"1 1200 0 0 0 0 ... 1.0 \n",
"2 1796 0 0 0 0 ... 1.0 \n",
"3 9200 0 1 0 2 ... 4.0 \n",
"4 9200 0 0 1 2 ... 2.0 \n",
"\n",
" LongestRun_mi SkiableTerrain_ac Snow Making_ac daysOpenLastYear \\\n",
"0 1.0 1610.0 113.0 150.0 \n",
"1 2.0 640.0 60.0 45.0 \n",
"2 1.0 30.0 30.0 150.0 \n",
"3 2.0 777.0 104.0 122.0 \n",
"4 1.2 800.0 80.0 115.0 \n",
"\n",
" yearsOpen averageSnowfall AdultWeekend projectedDaysOpen NightSkiing_ac \n",
"0 60.0 669.0 85.0 150.0 550.0 \n",
"1 44.0 350.0 53.0 90.0 NaN \n",
"2 36.0 69.0 34.0 152.0 30.0 \n",
"3 81.0 260.0 89.0 122.0 NaN \n",
"4 49.0 250.0 78.0 104.0 80.0 \n",
"\n",
"[5 rows x 25 columns]"
]
},
"execution_count": 223,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ski_data.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data appear to be in \"tidy\" format and ready to use."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.4.2 State-Wide Summary Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We'll load our state-level summary data as well, as our exploration will rely heavily on state-by-state comparisons."
]
},
{
"cell_type": "code",
"execution_count": 224,
"metadata": {},
"outputs": [],
"source": [
"state_summary = pd.read_csv('../data/state_summary.csv')"
]
},
{
"cell_type": "code",
"execution_count": 225,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"RangeIndex: 35 entries, 0 to 34\n",
"Data columns (total 8 columns):\n",
" # Column Non-Null Count Dtype \n",
"--- ------ -------------- ----- \n",
" 0 state 35 non-null object \n",
" 1 resorts_per_state 35 non-null int64 \n",
" 2 state_total_skiable_area_ac 35 non-null float64\n",
" 3 state_total_days_open 35 non-null float64\n",
" 4 state_total_terrain_parks 35 non-null float64\n",
" 5 state_total_nightskiing_ac 35 non-null float64\n",
" 6 state_population 35 non-null int64 \n",
" 7 state_area_sq_miles 35 non-null int64 \n",
"dtypes: float64(4), int64(3), object(1)\n",
"memory usage: 2.3+ KB\n"
]
}
],
"source": [
"state_summary.info()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Aside from the `state` and `resorts_per_state` features, our data speak to resort skiing capacity, the amount of time available at each resort for skiers to ski, as well as the resort's context (i.e., the state's population and area in square miles). Below, we take a quick look at our state-level data."
]
},
{
"cell_type": "code",
"execution_count": 226,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
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\n",
"\n",
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\n",
" \n",
"
\n",
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\n",
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state
\n",
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resorts_per_state
\n",
"
state_total_skiable_area_ac
\n",
"
state_total_days_open
\n",
"
state_total_terrain_parks
\n",
"
state_total_nightskiing_ac
\n",
"
state_population
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state_area_sq_miles
\n",
"
\n",
" \n",
" \n",
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0
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Alaska
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3
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2280.0
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345.0
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4.0
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580.0
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731545
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665384
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1
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Arizona
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2
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1577.0
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237.0
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6.0
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80.0
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7278717
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113990
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2
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California
\n",
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20
\n",
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21148.0
\n",
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2583.0
\n",
"
78.0
\n",
"
587.0
\n",
"
39512223
\n",
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163695
\n",
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\n",
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\n",
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3
\n",
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Colorado
\n",
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22
\n",
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43682.0
\n",
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3258.0
\n",
"
74.0
\n",
"
428.0
\n",
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5758736
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104094
\n",
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\n",
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\n",
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4
\n",
"
Connecticut
\n",
"
5
\n",
"
358.0
\n",
"
353.0
\n",
"
10.0
\n",
"
256.0
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3565278
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5543
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\n",
" \n",
"
\n",
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"
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"text/plain": [
" state resorts_per_state state_total_skiable_area_ac \\\n",
"0 Alaska 3 2280.0 \n",
"1 Arizona 2 1577.0 \n",
"2 California 20 21148.0 \n",
"3 Colorado 22 43682.0 \n",
"4 Connecticut 5 358.0 \n",
"\n",
" state_total_days_open state_total_terrain_parks \\\n",
"0 345.0 4.0 \n",
"1 237.0 6.0 \n",
"2 2583.0 78.0 \n",
"3 3258.0 74.0 \n",
"4 353.0 10.0 \n",
"\n",
" state_total_nightskiing_ac state_population state_area_sq_miles \n",
"0 580.0 731545 665384 \n",
"1 80.0 7278717 113990 \n",
"2 587.0 39512223 163695 \n",
"3 428.0 5758736 104094 \n",
"4 256.0 3565278 5543 "
]
},
"execution_count": 226,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"state_summary.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"All visible values appear reasonable and the data are in \"tidy\" format."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.5 Explore The Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.5.1 Top States By Order Of Each Summary Statistic"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What does the state-wide picture look like for our market?"
]
},
{
"cell_type": "code",
"execution_count": 227,
"metadata": {},
"outputs": [],
"source": [
"state_summary_newind = state_summary.set_index('state')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Below, we present data for ski resorts for our state of interest: Montana."
]
},
{
"cell_type": "code",
"execution_count": 228,
"metadata": {},
"outputs": [
{
"data": {
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" \n",
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resorts_per_state
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state_total_skiable_area_ac
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state_total_days_open
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state_total_terrain_parks
\n",
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state_total_nightskiing_ac
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state_population
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state
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Montana
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12
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21410.0
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951.0
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27.0
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710.0
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147040
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"text/plain": [
" resorts_per_state state_total_skiable_area_ac \\\n",
"state \n",
"Montana 12 21410.0 \n",
"\n",
" state_total_days_open state_total_terrain_parks \\\n",
"state \n",
"Montana 951.0 27.0 \n",
"\n",
" state_total_nightskiing_ac state_population state_area_sq_miles \n",
"state \n",
"Montana 710.0 1068778 147040 "
]
},
"execution_count": 228,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"state_summary_newind[state_summary_newind.index == 'Montana'].head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In isolation, it's impossible to draw any definitive, or interesting, conclusions from this data. Much like asset or company valuation, product pricing (our objective) is often done on a relative basis, though alternative approaches (e.g., \"cost plus\") do exist. The following cells compare Montana ski resorts to those both across the United States and regionally."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 3.5.1.1 Total state skiable area"
]
},
{
"cell_type": "code",
"execution_count": 229,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# take top 20 states by area\n",
"state_area = state_summary_newind.state_total_skiable_area_ac.sort_values(ascending=False).reset_index().head(20)\n",
"\n",
"# get only states near montana\n",
"state_area_regional = state_summary_newind.state_total_skiable_area_ac.sort_values(ascending=False).reset_index()\n",
"state_regional = state_area_regional[state_area_regional['state'].isin(['Montana', 'Wyoming', 'North Dakota', 'South Dakota', 'Idaho'])]\n",
"\n",
"# set total plot area\n",
"plt.rcParams[\"figure.figsize\"] = (14,7)\n",
"\n",
"# set space between plots https://stackoverflow.com/questions/43970609/\n",
"plt.subplots_adjust(hspace = 0.8, wspace = 0.5)\n",
"\n",
"# https://www.youtube.com/watch?v=4DnWYK88-E4\n",
"plt.subplot(1,2,1)\n",
"sns.barplot(x='state', y='state_total_skiable_area_ac', color='#0f4d92', data=state_area)\n",
"plt.title('Top 20 States for Skiing by Acre', fontsize=14)\n",
"plt.xticks(rotation=90, fontsize=12);\n",
"plt.xlabel('State', fontsize=12)\n",
"plt.ylabel('Acreage', fontsize=12)\n",
"\n",
"# create and style right barplot\n",
"plt.subplot(1,2,2)\n",
"sns.barplot(x='state', y='state_total_skiable_area_ac', color='#A41034', data=state_regional)\n",
"plt.title('Montana Regional Ski Market by Acre', fontsize=14)\n",
"plt.xticks(rotation=90, fontsize=12)\n",
"plt.ylabel('Acreage', fontsize=12)\n",
"plt.xlabel('Region', fontsize=12);\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The plot on the left tells us Montana ranks third among the top 20 states in our data set by acre. This is hardly surprising to anyone who has seen a map of the U.S.\n",
"\n",
"The data raise a few interesting questions. First, how much of the total skiable area is developed and, by extension, how many skiable acres remain undeveloped? A large quantity of undeveloped skiable area in any state or region would invite competition. This would place downward pressure on prices, as resorts compete for above-market economic profits. Second, per Montana's local market, it is the largest state in its regional market. Should we anticipate a boom in resort construction in the Montana market and, by implication, a growing skiable area -- along with fiercer competition -- for Big Mountain specifically?\n",
"\n",
"Given that our youngest resort is 6 years old, we doubt a sudden boom in resort construction is likely to hit Montana or any other state. Thus, we believe downward pressure on ticket prices from an influx of new competitors is unlikely."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 3.5.1.2 Total state population"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"While the United States is far from full, the population is not evenly distributed. California dominates the state population figures despite coming in second behind Alaska in size (by a considerable margin). Montana is the third largest state in our data set by area but is the 30th least populated. Thus, we conjecture Montana's low population density may be indicative of a low indigenous population of skiers. This implies there are fewer skiers in the immediate area, which means local demand may not be enough to support a high ticket price."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 3.5.1.3 Resorts per state"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, we examine the ski resort count per state. Surprisingly, overall state size is not dispositive when guessing the distribution of resorts across states. Alaska is larger than California, yet it contains the 10th smallest number of resorts. Montana has the 12th largest resort count."
]
},
{
"cell_type": "code",
"execution_count": 230,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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TJk28XjOJLz8sJ/FlMOXL9++rHTx40NSpU8f9/501a1bTvXt3c/r0aa/WKVu2rHn33Xc9Pt4NGjQwffr08Wq9JCtWrDCnTp1y/3yji7cFBQW5/49dLpf5/vvv3W1z58619UvbrFmzmvnz5xtjPL9v58iRw7baISEhZvHixR7bFi1aZEJCQmyrnWTy5MmmePHiZs+ePcm279692xQvXtxMnDjR6zU5fcyD//3vfx63FytWTP/884/i4+Pd+1iWpXfffdfW/vzwww8aN26cHnnkEVvrXCskJER79uzx2LZnzx5lz57dttrbt2/XoEGD3MPokuayCQ8P16uvvqo333zTtlM8JOmzzz5T//791aZNG7Vv315Vq1ZVxYoV9fTTT6thw4Zavny5GjRo4NWalStX1meffaYWLVqkaPvqq6+8PvT6WjVr1tSWLVu8OnFbaqpUqaIuXbrIGKMxY8bokUceUVhYWLJ9AgICVLZsWbVt29b2/qxdu1YjR45UYGCgJLmHvL/wwgs6dOiQevbsqblz59pSe+XKlXrrrbfUqVMnW27/erZt26bhw4d7bHviiSf08MMP21b7gw8+UL9+/dS7d28NGDBADz/8sCpWrKj+/furZs2aOnr0qG21jx07pvDwcEnS77//roMHD6pjx46SpFatWtk2NNjb88ZkhNolSpTQlClT1KhRoxRt06ZNS5P5hH7//XeNGDHCY1uuXLlSnXfnTv3yyy/Knz+/x7b8+fNr27ZtkqSSJUsqISHBa3X9/K4c2lmWpezZs+vvv/92t+XJk0f79+/3Wi1P0vrY4bHHHlOZMmVkjNFjjz2mYcOGpTgVLyAgQGXKlFGhQoW8Wvtavnhdu3Tpkvz9/eVyuZQ1a1bFx8e72woUKOD9Uww8yJw5s/s0/9WrVyswMFDVqlWTJOXMmVMnTpzwes1Dhw4pIiJCLpdLmTJl0smTJ91ttWrVsnXuqt27d6tkyZLKlCmTLMvSmTNn3G3t2rVTTEyMxo4da1t9SZo9e7Z69+6tGjVqSLryWFesWFF169ZV27Zt9eGHH9rWB1++f0tXjtk++OADffXVV8qcObOef/55tW7dWrNnz9aHH36o/fv3a/r06V6rt3PnTpUvX94978zVU1p07txZL730UqrHUneiVq1akq78j0dERCg0NFQ5cuTwep3U5MiRQ6dPn5YkhYaGaseOHYqKipJ0ZR7SpDY7lCtXTrNmzVLjxo1TtC1YsED33XefbbWTTv2uV69eirYdO3Zc9zRlb3njjTc0aNCgFKdhFixYUAMHDtSQIUPUoUMH7xb1esz0H+DpFK3ULnYPkTTmyrfYqX3Taqd27dqZsLCwZN++GGPM5s2bTWRkpHniiSdsqx0SEuJOvbNly2Zmz57tblu2bJmtwwaNuZJQr1ixwv1N6+rVq91tM2fONPnz5/d6zcWLFxuXy2UeeughM3PmTONyucyYMWPMCy+8YPz8/JIl9Hb4888/zT333GO+/vrrND29pGPHjmbnzp1pVs+ToKAg9/3r5+eXbMTUkiVLbP1WIE+ePKl+I2G3nDlzmilTpnhsmzJliq2n9vhyNENoaKj5+uuvjTFXRmnkzp3b3bZkyRKTNWtWW+qOGjXKPPjgg+by5cu23H56rD1+/Hj3qVtfffWVWb16tfnqq6/MQw89ZFwuV5p8o5wrVy73yLBrv3GcNm2aLaMYjDGmYMGC5vnnn/fY1rlzZ1OgQAFjjDFz5swxoaGhXqtbtWpV97eI9erVMw0aNDDnz583Fy9eNI8++qitp34b49tjh4kTJ5qjR4/advs34ovXtXvvvddMnTrVGGPM/fffbx5//HF3W5cuXUyRIkW8XvNaVatWNe3atTMnT540DRs2THZK5pQpU2w5ZipUqJD72LBYsWLJTov85JNPkr2ue1tERIT7uDw8PDzZ69isWbNMtmzZbKudxJejOHzxPD979qwZP368qVixovuUsbfeesucOHEi2X6TJk3y+v0fGhrqHv2YO3du9/+bMVdGvGbJksWr9a514cIFkylTJvfImbTSoEED93Qpbdq0McWKFTPff/+9Wb9+valQoYK5//77bas9ffp043K5TLdu3cymTZvco+HefPNN4+/vb+vI50cffdTkzJnTzJ07N9n2b7/91uTMmdM8+uijttVOEhAQ4J5S5Frz5s2zZZQ1I4U8uHq1jPSgU6dOmjp1qsdvWu00fPhwrVixQlWqVFHp0qUVERGhgwcP6rffflNkZKQtqXiSwoUL68CBA5KuTLI8bdo0NW/eXNKVUTMRERG21ZakrFmz6vz587IsS7ly5dKePXvc38YEBQXZ8s1yvXr1NGnSJHXr1k2zZ8+WJL3wwgvKkSOHJk6c6E7n7XLvvffqwoULevTRR92TDV/NsiyvfpudxO4JtG9GWFiYewLeQoUKaePGje4RU7t373Z/826HRx99VHPnzvX4jYTdHnjgAcXGxqp27dqKjIx0b4+Pj9fgwYNtneDal6MZqlSpohEjRihz5sx69913k43627lzZ7L7wpsuX76sbdu2qUKFCh6XzbYsy7YJeH1V+6mnntKhQ4c0ZMgQzZs3T9KVkXhBQUEaOnRomoyQu//++/X++++rVatWKdomTpyo2rVr21L32Wef1auvvqqEhAQ9+uijCgsL06FDhzRjxgx98cUXGjJkiCRpzZo1KleunNfqPvjgg4qLi1OHDh3Ut29fNWzYUDly5JCfn5/+/fdfffrpp16r5Ykvjx28/s3pLfLF61rdunW1ZMkStWnTRi+99JJat26tDRs2yN/fX9u3b9cbb7zh9ZrXeuWVV/T4449r2rRpkqRvvvnG3bZ06VKvPr+TVKtWTZs3b1bz5s3VsmVLDR48WImJifL399ebb7553dX/7lTZsmX1xx9/qFGjRoqOjnaPTvP399fgwYNVvnx522on8eUoDl88z/PmzasTJ06oZs2a+vrrr9WiRQuPk/KWKFHC6397yZIl3RMR16hRQ6NGjdIDDzwgf39/jRw50r1ohV38/PwUHh6e5p9PY2JitGPHDknS0KFDFRUV5R69lCNHDs2fP9+22q1bt9Zff/2l2NhY96i/Vq1ayc/PT4MGDVKzZs1sq/3uu++qbt26at68uYKDg93v3adOnVLx4sVtP0NIuvJZZPz48XrwwQdTtI0bN04FCxb0ek2WpL+Oc+fOafDgwWrVqpWtw9RuZPr06erfv7/uueceNWvWLMXBvCS1bNnSltpHjx7V22+/reXLl+vYsWPKnTu36tatq5dffll58uSxpaYk9ejRQ//884/Gjx+vL7/8Uq1bt1aRIkWSHeT07NnTtvq1atVSu3bt9Oyzz6p58+Y6ePCgZs2aJX9/fz3++OM6ceKEfvzxR6/Vu3Tpkv766y+FhoYqICBAa9as0aFDh5QnTx7df//9ti+dLEkdO3a84az3dgU4vlymW5LatGmjkiVLauDAgerdu7fGjBmj3r17uw8uo6Oj9cUXX3it3tXPnZMnT+qZZ55R48aNU/3/rlixotdqX+3XX39VjRo1dOHCBdWtW9f94W3ZsmXKnDmz1qxZo9KlS9tSu1q1anr++efVoUMH1a9fXy6XS3PnzpXL5VKbNm20detW/fbbb7bU3rx5sxo0aKBjx44pZ86ciouL0z333CNJatKkiXLmzKnPP//c63WvXfL0WpZl2baqoi9rS1dWcly7dq37faR69eq2rg50tY0bNyoqKsp9OmqPHj3Ut29f/fTTT1q6dKl++OEHlSlTxpba/fr10+jRo3X+/HlJVwKxgIAAde/eXUOHDpUk/fzzz8qaNauKFi1qSx82bNig6dOny7IsNWnSJE1OEfbVscONTiu3eyVJX7yuJSYmKjEx0X1a3syZMzVlyhRZlqWmTZu6T42127p167RmzRpVrlxZDzzwgHv7wIEDVbVqVY8fbu7Epk2btHv3brVq1UqnT59WmzZtNG/ePBljVLNmTU2bNs22LxC/+OIL7dixQ/3799euXbsUFRXlPm0v6cNy1apVbamdpGHDhmrSpIn+97//qW3bttqwYYMmTJggf39/de7cWVmyZNGqVatsqe2L5/nTTz+tl156SWXLlvXq7d6MMWPGaOfOnXrrrbe0efNm1axZ033KYObMmTVz5kyvP7+v1aNHD+3bt8/WFb9u5PTp0+4V92rUqKFcuXLZXvPvv//WggULdPjwYeXJk0cNGza0JRC51rlz5zRx4kStWLHC/R4WHR2t9u3bKygoyPb6EydO1FNPPaVKlSqpTZs27hXQpk2bpk2bNumTTz7x+pdqhEI3EBQUpIULF9r6jfmN+Ppg3hd8fZCT1m8AFy9eVGBgoL799luP58/+l93MUtl2P79vdHA5depUr44ecblcyQI442E526Ttdv/9f/zxhwYOHJjiw9vAgQN1991321Z38ODB2rNnj8aPH69ly5apYcOG8vf3Tzaawc5v/c+cOaNt27apWLFiyeY4mTdvnooXL27L357aPCtXs+tgx5e104Ply5erS5cu2r59u3tb8eLF9dFHH9k2UijJiRMntG7dOvf/V9WqVZUzZ05bazpVoUKFUryOHjt2TP/++69y5MihHDly2DrHjq9f15zu5MmTsixLwcHBaVrXFx+WfRlMOf15vm/fPs2aNUsul0v169e3faSQJH3++efq27evihcvrpYtWyoiIiLFa523BwjExcWpYsWKypYtW4q206dPa9OmTT79fPxfN3HiRL366qvuM2ckKSIiQq+//rot8+oSCt1AxYoV9dJLL/n0xW3lypU33CdpOB/ssW/fPn3zzTeyLMu2N4B8+fLpo48+UpMmTbx+2+lZjRo1dPr0aY0fP17lypWTv7+/r7skyd6Dy0mTJt3S/v/lg6skaTmaYfLkyR5PoZKk48ePa+7cuWrfvr1t9Z1kwoQJ2rNnj2JjY1O0xcbGqkiRIml6X//111/uUZh2hp5IX5YtW6YuXbroyy+/TNORBr4YpQX7/fXXX9cd2bdgwYI0n/LBF8FUkrR6nicmJrpHbxw9elRjxoxR8eLFNXv2bJUtW1ZFihSxpW564IsBApkyZdLatWtVpUqVFG2bNm1SlSpVbP3S8urH+9ixY/rggw8c83gnMcZo+/bt7i+VSpQoccOzOm4XodANzJo1S7169dKCBQtsG9qdntzKOdiWZWnp0qU29sZZfDE09OpvAeLi4m64vx3fCAQHB2vq1Km2nh98I4MHD9bTTz/tcTTQwYMHNW7cOA0YMMAHPYMdfH2g8+eff2rZsmU6duyY8uTJo+joaBUrVsy2er6sXaFCBXXs2FEvvfRSirb3339fEydO1MaNG22r72vGGG3YsMHjqbGSbAnELly4oBEjRmjq1Knas2dPspVypCvv3UkrenrLU089pddee02FCxf2+SlcqXn//fc1c+ZMLVu2LM1re1t6uL+LFCmiWbNmqXz58ipcuPB1P6hYlqW//vrrjmumh2MW6cq8NevWrfM44m/FihVq0qSJrXP6ONHRo0cVHR2tX3/9VeHh4Tp06JA2bNigihUrqlOnTgoKCtKYMWNs78eRI0c8vpZfu0qUt/ligIDL5dK6des8HiutW7dODzzwgC5cuODVmkl8+Xj74j00PWCi6RuYMGGCzpw5o1KlSqlcuXIphutZluWeFPi/4PLly8n+vu3btys+Pl4FCxZ0n8+4Z88eRUREeH20THo4yPGle++9VzNmzFCdOnXSbGho7dq13S/4tWvXTvWgzs7TmHy5THeSQYMGqVGjRh5DoQMHDmjQoEH/2VBo1apV7jc+T/M5/ReD3+t9F3Lu3DllypTJtrpdu3bV2LFjk00Y6XK51KVLF1uXUPZV7T///DPV+XpKly7tnsTSbr6Yt+yPP/5Q8+bNU13C1rIsW0Khvn37avTo0WrcuLEeeughBQQEeL3GtZYvX+4O/pJGK6TGrm85b6R06dLq06ePT2p7W3q4v2vVquU+9bZWrVpp8rimh2MWScqWLZuaN2+upUuXJhvdvH79ejVv3jxNRnxXrlxZ9evXV926dRUVFZUm/+e+1KtXL504cUIbN25MMao8OjpaI0aMsK32qVOn9PLLL2vatGkpAoIkdk9zkFZnhJw8eVInTpxw/x4fH6+9e/cm2+fs2bOaNGmSwsPDbeuHLx9vX7yHepLWxy2EQjfw888/y9/fX3nz5tWxY8dSrDqVVgc3O3bs0EcffaTff//d1g9uK1ascP+8YMECPfPMM1q9erWqV6/u3r5mzRq1bt1aPXr08ErNJL4+yPHFt15XS/pwsH///mSPw9U1vf2ms3z5cvdEwsuXL/fqbd+spA+qTZs29dmHheuFBP/++68yZ85sa/3jx49r6tSpqf5/2xWATpgwQTExMcqVK5fuvvvuFG98dg4kTetvYvbu3avdu3e7f9+8eXOKmmfPntXHH39s2zd+o0eP1pgxY/T888+rY8eOioyM1IEDBzRp0iSNGTNGhQsXtm31MV/WTm3VwoSEhDT5tu1m5i2zIxR64YUXdO7cOc2YMUPlypVLswPLL774QgMGDNDAgQPTpJ4k98o8kpL9n6UnK1eutGWS6xsdL1zLG3MapYf7++qFJyZOnJgmNdPDMYskzZ07V9WqVVP79u01ffp0SdJPP/2kxo0bKyoqSlOnTrW9DxERERozZozeeOMNBQYG6v7771e9evVUr1492xfH8cVIirlz52rEiBGqWLFiimPhfPnyJVsBzdu6deumqVOnKiYmJk1fy31h9OjRGjx4sKQrj+PDDz/scT9jjPr162dbP3z5ePviPfRavjhuIRS6gfRwcLN161ZVq1ZNefPm1Z9//qly5crp6NGj2r9/v/Lnz2/baW2vvvqqYmNjkwVC0pU5YAYOHKj+/ft7dbJlXx/k+OJbr6v54gDn6m8efDUvla+Wyv7555+1ZcsW9+/z58/Xtm3bku1z9uxZTZkyxdZTR/fu3avKlSvrzJkzOnPmjPLkyaPjx4/r0qVLypkzp60rNI0cOVKPPfaYJk2alOYHOWn9TcyECRM0aNAgWZYly7LUpUuXFPskhWB2LTf6ySefqGvXrsluP2/evKpcubIyZcqkcePG2RbM+Kp22bJlNX36dI+jHKdNm5Ym87u8/PLLyps3rxYsWJCm85b98MMPGjdunB555JE0qZfkn3/+cezkn0kfZq6WmJion3/+Wd99950tq5Zee7ywbNkyxcfHq0aNGu4R1mvWrFFERISty6Q7QXo4ZpGuBDLz5s1TVFSUevXqpZiYGDVo0EDlypXTrFmz3Eu222nOnDm6dOmS1q9fryVLlmjp0qUaMGCA+vXrp5w5c6pOnTpeXTX1ar4YSXHy5MlUF0O4cOGCrV8wzJs3T2+88YbH06DTyo1eO7w1QKBBgwbKli2bjDHq1auXunbtmuKLsoCAAJUtW9bW/0FfPt7p4T3UJ8ctBules2bNTMuWLc2FCxeMZVlm06ZNxhhj5s6da0JDQ83q1attqRsYGGgWLlzosW3hwoUmMDDQlrpIP/bu3Wu+++47c/ToUdtqWJZ13YvL5bKlbmxsbLIaqdXPkiWLmTFjhi19MMaYNm3amOjoaHP69Gn3/3diYqJ5//33TWRkpPntt99sqx0UFGQWL15s2+1fT/78+U1sbGya1fvtt9/MV199Zb788ktjWZYZPny4+eqrr5Jdvv32W7Nr1y7b+hAQEGAWLVrksW3RokUmICDgP1d7ypQpxrIs0759e7Nu3Trz999/m3Xr1pkOHToYl8tlPv/8c1vqXi1btmxmzpw5tte5VmRkpPnuu+/SvO6DDz5oRo0aleZ1PTl8+LDZs2dPiotdPL2GBwYGmpIlS5qhQ4ea8+fP21bbGGMmT55sihcvnuJv3L17tylevLiZOHGirfXT+v6+2rFjx8yrr75qqlevbu6++25To0YNM2DAAHP8+PE0qe8LixcvNv7+/iZHjhymatWq5t9///Vpf9avX28aNmxo67GTMWn//m2MMSVLljRDhgwxxhhz8eLFZJ+HBg8ebCpUqGBb7ZCQELN06VLbbv9m1KpVy9SuXTvZpUyZMiZz5swmb968Jjo62us1Y2Njzf79+71+uzfDl493engP9cVxCyOFbsKFCxc0efJkLV261D05Z7169fTEE0/YflqJJP34448aM2aMe+b5pPkgmjRpoh49eqhv3743NQHZrQoLC9PXX3+tBg0apGj78ssvFRYW5vWanvhqUjenefXVV3X69GmNHj1akrRkyRI1a9ZM58+fV44cORQXF6d77rnH63WvHiGWlp599lk1bdpUxhhVqVJFEyZMSDH3SUBAgIoWLaqgoCDb+rF27VqNHDlSgYGBkq6MVvH399cLL7ygQ4cOqWfPnpo7d64ttUuVKqVDhw7Zcts3ktbfxJQqVUqlSpWSdGXUUNOmTT2uPmankJCQVJeG37Nnj3uk4n+pdtu2bbVt2zYNHz5cn3/+uXu7y+XSq6++qnbt2tlS92q+mresU6dOmjp1apqvQvTee++pRYsWKliwoJo2bZrmKzr6cv6Nq+fL8oU33nhDgwYNSnF8UrBgQQ0cOFBDhgzx+mqS6WG+k/379+v+++/X3r17VapUKRUoUEAHDhzQ66+/rsmTJ2v16tUe5+y7U2k5J96PP/6YYluuXLn03HPPacaMGRoyZIi2b9/ubqtYsaLXaqcmPj5eS5Ys0eLFi7V06VIdPHhQ+fPnV6dOnVSvXj3b6vpiJEW7du00YsQIlSlTxj1nk2VZ2rBhg959913179/fttoPPvigvv/+e5+O9PM0rYR0Ze66Fi1a2HKq09W3ee7cOf3zzz/KmTOn+3jVTr58vH39Hir55riF1cduICEhQXXr1tWPP/6orFmzuocCnz59Wvfdd5+WLl1q64G8JGXNmlULFy50TyQ3d+5c1a9fX9KVU46aN2+uU6dOeb3uyJEj1adPH7Vq1Upt27Z1/+1TpkzRrFmzNHz4cPXq1cvrdaX0cZBj0mDVmPQ0uXapUqXUvXt3PfPMM5KkatWqyRij/v37KzY2ViVKlNC0adNsq+9LK1eu1H333ads2bKlee0sWbJo0aJFioqKUubMmbVo0SL3cq5Lly5Vq1atkk36500LFy5Ujx49tGDBAuXNm9eWGqlp0qSJ6tWrZ9vpUtdTp04djRkzRiVLlkzR9scff6hz5862rFD0xBNPaMmSJZo3b16yOR+2bNmiJk2aqE6dOvrss8+8XtfXtaUrpwQvXrxYR44c0V133aUGDRqkOjTc20aPHq0lS5Zo7ty5aXpa8PTp09W/f3/dc889atasmccQ0tuLB0hXVnS8cOGCLly4IMuylCVLlmTtlmWlOs+TN8TExNxw/g1vByPpRWBgoGbOnOnx1Pr58+erVatWHo8n7kR6uL87dOigBQsWaO7cuapcubJ7+4YNG9SsWTM1atTI6/MO3WhOPMm7p+W7XK4bTmx99c92H6OWLVtWv/32m3LmzKnatWurXr16qlu3rooXL25rXck3798XLlxQ8+bNtXDhQuXMmVP//POP8uTJo2PHjqlRo0b69ttvb7hs++367bff9Mgjj+jpp59O9bU8V65cttS+GZ9++qk++ugjrV+/3uu3vWbNGvXu3Vvr1q3T5cuX5XK5VKNGDb3xxhspphfxJl8+3r5+D5V8c9zCSKEb6N+/v7Zv364ZM2bo0UcfdW//6quv9NRTT6l///76v//7P1v7kDdvXh09elSSVKxYMcXFxblDoZ9//tm2D7K9evXSmTNnNHLkSM2cOVPSlTe7wMBA9e/f37ZASPL9pG5ptWqMryfXvtr+/fvdS1MfO3ZMGzZs0Pz589WwYUOdO3dOr7zyiq31fblMd9J50adOndLatWvdfahWrZqCg4NtrR0WFuaeSK5QoULauHGjOxTavXu31+cmaN68ebLfExISdPfdd+vee+/1OJ+TXasr+vKbmBUrVujkyZMe206dOmXLyEtJGj58uFasWKEqVaqodOnSioiI0MGDB/Xbb78pMjJSw4cPt6Wur2tLV57bSYFzWvPVvGVt27aVdGU0pKfRfnZ9cGzVqpXPJu2XfDv/xty5c7V79269+OKLKdo++OADFS5c2KtzIV6rUKFCGj9+vMca48aNsyUITQ/znSxYsEBDhgxJFghJV1bIGjx4sC0Tuaf1nHhXT6ydHvz6668KCgrSI488okaNGqlOnTq2f0mdxBfv35kzZ9b8+fM1Y8YMzZs3T4cOHVKePHnUtGlTPf7447YFBJLco8h79uyZ6rxkdoeA11OoUCFt3brV67e7bt061alTRzly5NCzzz6ryMhI7d+/XzNnzlSdOnW0YsUKVa1a1et1Jd8+3r5+D5V8c9zCSKEbyJcvn1555RWPd/yoUaM0atQoW2dAl66MJsmTJ49GjhypYcOGaeDAgerQoYP8/f01ceJEPfHEE/r4449tq5+QkOD+oJw7d25Vq1ZNOXLksK2eJIWHh6tv374+O8ipX7++duzYobfeeivVUCqtvuVOK8HBwfrmm29Ut25dzZkzR4888ogSEhIUFBSk77//Xg0aNPD6N5ySb5fpvtpbb72lQYMG6cyZM+4gMGvWrBo0aJC6d+9uW902bdqoZMmSGjhwoHr37q0xY8aod+/e8vf315tvvqno6GivThZZqFChm36zsyzLKyvleOLLb2JcLpd7WeNrzZ07V23atLFl9KUkHT16VG+//baWL1/ufk2tW7euXn75ZVtWRkovtX3pRgePdoUzNxMu+nKyXLvkyJHD/aEhrVWvXl0tWrTwuPT8yJEjNWfOHK1atcq2+hMnTtRTTz2lSpUqqU2bNu4R1tOmTdOmTZv0ySefqFOnTl6t6cv7O0lgYKC+/fZb9xeWV1u8eLGaNWuW6qjv25UlSxbNmTPH1tOk0rMff/xRS5Ys0ZIlS7Rq1SpdvHhRlSpVUv369VW/fn1Vr15dmTJlsqV2ehhJkZZiY2NveNzky5WqXnjhBS1atEg7duzw6u02aNBAJ06c0PLly5U1a1b39tOnTys6Olo5c+bUwoULvVoTV/jiuIWRQjdw5MgRlStXzmNb+fLl3SN47NS/f38dOHBAktS7d2/3KVyWZemxxx7TW2+9ZWv9kJCQNJ8T4dy5c2myKk1qfLVqjC8VLVpUc+fOVd26dTV9+nRVqVLFPZfOwYMHlTNnTlvq+nKp7CSTJ09Wr1691Lhx4xR96Nmzp+666y49+eSTttTu0aOHe7W9AQMG6Pfff9fAgQNljFHNmjX1zjvveLVeelhRUUr7b2Jmz56dbNTT66+/nuKc7bNnz2rFihWqUKGCbf3IkyeP7aNyfF07U6ZMWrt2rapUqXLdUy4ke5Yuvpav5i37LwY+N8OX829s27ZNgwYN8thWoUIFvfHGG7bW79ixo6Qrc/RdPbo2IiJC48aN83ogJKWP+U4KFy6sefPmeQyFvvvuOxUuXNjrNX05J54n+/bt06+//qrKlSunyXx1FStWVMWKFdWrVy8lJiZq1apVWrx4sebOnashQ4YoW7ZstgUzvhhJce7cOZ0/fz7ZaKgvvvhCP/74o+rVq2drOBgbG2vbbd8sT1NMJK2s+Ntvv2nkyJFer7lu3Tp9+umnyQIh6coXpj179lRMTIzXaybx5eOdHvjiuIVQ6Aby5s2rVatWqW7duina7Jo471pFixZ1L4mdKVMmvffee2k2ekK6MlLojz/+8DhKxK6J5nx9kJMtW7Y0G4briS8m137uuef0wgsvaPLkyTpx4oQ+/fRTd9vq1atVunRpW+r6cpnuJKNHj1bbtm2TTYQrSY8++qieeOIJjR492rZQ6L777nPP8ZI1a1bNmTNHJ0+elGVZtp+65kvenl/iRn777Td9+eWXkq4EEcuWLUvxTUzSMqt2LUlfpEgRzZo1S+XLl0/RtnXrVjVv3ty2kVlpacCAAcqXL5/7Z18Pw/6vjer0JC4uThUrVlS2bNkUFxd3w/29/d6ddAqsdCUQeeSRRxQcHJzm828kJibq/PnzqbbZMdr1Wh07dlSHDh20fft294i8EiVK2PZ/4Mv7O0mnTp3Up08fXb58WR06dHCfnvr555/r//7v/2wJ44YNG6YePXqodu3aaT4nXmoLcyQmJipHjhz6/vvvbVmYIzXx8fHavXu39uzZo3379skYo9OnT9tWL63fvyXpySefVNasWd2133vvPXXr1k2S9Oabb+rbb7+19dTQJGk94XIST1NMBAYGqlChQurbt6/7dGVvunTpUqqnZgYGBtp6ylx6eLy3bt2q33//3bZ5Za/HF8ctnD52A3379tWoUaM0fPhwdejQQblz59axY8f0+eefq3fv3urevbuGDRvm627a4uLFi+rcubMmT56c6j++XS8Ivp7U7dVXX9XevXs1efJk22pcKz1Mrj19+nStWbNGVapU0RNPPOHe/uyzz6pmzZrJtnmLL4adXysoKEizZs3yOCJuwYIFevjhh237MDF48GA9/fTTHgPmgwcPaty4cRowYIAtta/mpFX+rnf6mK/qbty4UVWrVrXtf/x6AbvL5VKOHDlUuXJlPfXUUz5breu/wFeLB1z93LqZCXG9/Ty7tubVE+96YtfzvEKFCqpatarGjh2boq1z585au3atfvrpJ1tq+0pSuO2L+zuJMUadO3fWuHHjUjwPnn32WY+Px51q3ry5tmzZomPHjqX5nHjpYWGOr7/+2n362M6dO2WM0d133+2ecLpOnToKCQmxtQ9pqWDBghoxYoQef/xxSVfmWK1Ro4bef/99xcTE6NixY7YsEJHEVxMu+1KNGjWUI0cOzZ8/P0Vb06ZNdfz4ca1Zs8aW2r58vM+cOaPmzZu7g7ikqOTq1zZfziFlF0YKeTBu3Dj3C31sbKw2b96sHj16qGfPnvLz89PFixdljFHDhg3TZEjh4MGDU21LOpivVKmSqlWr5tW6o0eP1rfffqtPP/1U7du31wcffKDMmTNr3LhxSkhIsHW0kq8ndStTpoymTZum5s2bp9mqMb6eXFuSHn/8cfcL8NXsnLPKl8t0JwkKCkr2TffVjh8/buuS9IMGDVKjRo08hkIHDhzQoEGDbA2FhgwZovfee0/Hjh3z2G73G58vvonx5bLVqX1w27lzp60jwy5fvqwdO3bo4MGDKlSokMLCwhQfH689e/YoMjJSd911l+bOnavRo0fr+++/99oKNjcKB06ePGnL//jVK8zdaMSpN5eu9tXiAcuXL3eP5vTmiks3Kz2MCJOuhHIvv/yywsLC1KVLF4WFhenQoUP68MMP9cknn2jUqFFp0o+0fF1LD/e9ZVn66KOP1L1792RzltWpU0d33323LTV//vlnZcqUSaGhoTpw4IB7moWr+2QXXy/MIV0ZyRwREaG6devq1VdfVb169dJ8xFRaPs+PHDni/vt27dqlnTt3atq0acqePbtiYmJsHbnhywmXfalPnz566KGHVKFCBT3xxBPuEYBTp07Vli1b9M0339hW25eP9+uvv67du3dr5cqVqlWrlmbOnKng4GCNHTtWv/zyi2bMmGFb7avFxcXpvffe8/g/ZlmW/vrrL+8WNEjBsizz4IMPmgMHDri3LViwwPTu3ds8/fTTpnfv3mbRokVp2h+Xy2Usy0pxSdrucrlMdHS0OXXqlNfqli1b1rz77rvm4sWLxrIss2nTJndbgwYNTJ8+fbxW61oDBw40sbGx173YydN9fe397m1hYWHmnXfe8frtpnft2rUzYWFhZuPGjcm2b9682URGRponnnjC9j40b97cFC9e3Ozfvz/Z9oMHD5oSJUqYFi1a2Fbbsiyzfv16j20rVqwwAQEBttUeP368yZo1q3n99deNZVnm1VdfNf379zcFChQwJUqUMJ9++qlttU+fPm3q1q2b4vXN5XK5L3ZbsGCB6dOnj3n66afNnj17jDHG/PDDD+bw4cNeqzFx4kQTHR1toqOjjWVZ5r777nP/nnSpVq2aCQoKMo0aNfJa3WstXrzYFCxY0Kxbty7Z9rVr15oCBQqY+fPnm507d5qiRYuaxx57zGt1o6OjzaFDhzy2/fDDD6ZIkSJeq3W12rVrm99//90YY0ytWrVM7dq1r3uBd12+fNkcOXLEHD161Fy+fDlN6z755JPu15LMmTO7X1/at29ve/308LoG+2XLls0sWbLEGGPM7NmzTebMmc2ZM2eMMcbExcWZwMBA2/vw66+/2l4jNb54nufOndt8++23xhhjJk2aZIKDg92vLcuXLzdBQUFer5mkfv36pnLlyubff/9Ntv3ff/81lStXNg0aNLCt9tWOHTtmXn31VVO9enVz9913mxo1apgBAwaY48eP21ZzypQpJm/evMk+A+XLl89MnTrVtprG+PbxLlWqlPn44489fv5t06aNee6552yrneT77783fn5+pl69esayLNO4cWMTFRVlMmXKZIoXL246duzo9ZqEQh5MmTLF5M6d2+TOndtMnz7d190xO3fuNHfffbd54403zJ49e8y5c+fM7t27zfDhw03x4sXNDz/8YKZMmWKyZ89uunXr5rW6WbNmNStWrDCXL182lmWZ1atXu9tmzpxp8ufP77VaV0tMTDQLFy50f0jzhRUrVtzw4m0hISFm6dKlXr/dm3X+/Hnz+uuvm1KlSpksWbIke3N3uVwmU6ZMttTdu3evyZs3r3G5XKZMmTKmfv36pkyZMsblcpl8+fKZffv22VL3alu3bjXZs2c3QUFBpmnTpuaZZ54xTZs2NVmyZDEhISFeP/j66aefzKRJk8ykSZOMZVlm4MCB7t+TLmPHjjUPPPCAKV26tFdrX61ixYpm6NChKd74zpw5YypVqmRGjhxpW+0+ffqYokWLmri4OGNZlpk1a5ZZsmSJeeSRR0yJEiXMli1bbKt9+vRp9xtt0vM76W9/7LHHzCuvvOK1WmPGjDFlypRxP6eLFi3q/j3pct9995mOHTva+ppXuXJlM378eI9tn3zyibn33nuNMcaMHTvW3HXXXV6rGxYWZsLDw1O8tr3zzjvG39/fVK5c2Wu14Htr1qwxzZs3N9myZXP/b2XLls20aNEiRSBpp7i4ONOvXz/zzDPPmH79+pnvv/8+Ter68nUtPTh06JD54YcfzMqVK1Nc/kvKly/vPt5u06aNuf/++91tM2bMMBEREWnan7Nnz5oDBw6Ys2fPpkk9XzzPa9eubRo1amR+/vlnU7VqVdO8eXN326RJk0zhwoW9XjNJcHCw+fLLLz22ffHFFyY4ONi22kn+/vtvU7BgQWNZlildurSpV6+eKV26tLEsyxQqVCjFl5recOnSJWPMlbD9999/N6tWrTK///67O5w5duyY12sm8eXjHRQUZOLi4owxxrhcrmTvH3PnzjVhYWG21U5Sp04d88wzz6Q4Pv/pp59MRESEmTNnjtdrEgqlIj4+3jRv3ty4XC7z2GOP2frEv5GmTZua119/3WPb66+/7v52efDgwaZgwYJeqxsaGuoeEZU7d+5kqfB3331nsmTJ4rVaV7t06ZLJnDmz+1sYp2jTpo3tI6Cu55VXXjEul8s0adLE9O3bN01HZx05csT06dPHVK1a1RQrVsxUrVrV9OvXzxw5csS2mtfavn27efzxx01YWJjx8/MzYWFhpm3btmb79u1erxUbG5titJ+nS5YsWcyMGTO8Xj9J9uzZzdKlS93B79q1a91t06ZNM8WKFbOtti+/ienWrZvJkSOHmTlzpjl16lSy+p988okpX768LXULFSrksw+FgYGBqY5wXbhwofub7RUrVhh/f3+v1Y2Pjzd16tQxfn5+ZuDAgebo0aOmRYsWxrIs07VrV5OYmOi1WunZ6dOnzbFjx1JcvGXQoEE3fRk8eLDX6l7tgw8+MH5+fsbPz89UrVrVPP7446Z169amatWq7u0ffPCBLbXTi7R6XZs0aZI5evSo++cbXex24MABU7duXXcQ6Gk0+3/JmDFjjGVZJleuXMblcpmJEye62/73v/+ZunXrpkk/Vq9ebaKiooyfn59xuVzGz8/P1KxZ06xZs8bWur54/166dKkJCgoyLpfLBAYGmlWrVrnbHnvsMdOqVSuv10ySJUuWVD+Ez5kzx7bPQ1dr3769CQ0NNT/88EOy7T/88IMJCwszHTp08HrNZ555JtW2hIQEU6lSJa/XTOLLxzsiIsJ89913xhhjwsPDk42anzVrlsmWLZtttZOEhoaa+fPnm0uXLhnLspI97mPGjLHlvicUuoHJkyebXLlymYiICDN8+HDz9ttvJ7uMGjXK9j5cPUz1WkuWLHE/ORcvXuzVg/maNWuajz76yBhjTLNmzUylSpXMvn37zKFDh0x0dLSpUKGC12pdq3DhwmbmzJm23X56cfWHg19//dWUKlXKvP322+aPP/6w9QOEJ/nz5/dpKOUkBw4cMBs3bjQbNmwwlmWZiRMnmo0bNya7/PLLL+7h6HbJlSuXewRHSEhIsm/CFi9ebOvwXF9+E5M3b17zf//3f8YYk+KgdtGiRSZnzpy21faVggULmueff95jW+fOnU2BAgWMMVcOcENDQ71a+/Lly2bAgAHGz8/PBAYGmpw5c5qvv/7aqzVu1uHDh82ePXtSXOxw+vRp89JLL5k8efKkGHnp7VMsbnTKs92nP69du9ZkypTJNGvWzOPozn379pmmTZsaPz+/VE+X/S9Iq9e1q0879sXjfa2WLVuaXLlymTfffNMsXLjQttHVLpcr2d+d2v+VnaObk0ybNs107drVfPbZZ8m2P/PMMym22WHt2rUmICDAhIWFmS5dupghQ4aY559/3oSFhZnAwEBbR+b56v179+7d5uuvvzZ//fVXsu1jx4619e+tXr26ady4sce2Jk2amOrVq9tWO0loaKj5+OOPPbZ99NFHXn/fNuZKGDZs2LAU20+fPm3uv/9+ExkZ6fWaV/PV492gQQPz7rvvGmOuhJzFihUz33//vVm/fr2pUKFCspGBdsmWLZv7fywwMNDMnz/f3bZs2TJbgkgmmr6BJ598Uvv371e/fv3Ur1+/FO2WZdm+XLa/v782b96sunXrpmjbtGmT/P39JV2ZSDRr1qxeq9u6dWv98ccfkq5MhluzZk33EnmZM2fWzJkzvVbrWjExMfrggw/UvHlzZcqUybY617Njxw599NFHqU7w5Y2JSfPkyZNipQ5fTa79zz//eH2Z4oxs3759+vXXX1W5cmWPE43fiYiICEVEREi6Minsfffdp2zZsnm1xs0oXry49u3bJ0mqXLmyxo0bpxYtWsjlcunjjz9WoUKFbKudI0cO95K5oaGh2rFjh6KioiRJFy5csHU53SNHjqS6XLDL5bJtpbm9e/em2uZyuRQSEmLbZNPPPvusXn31VSUkJOjRRx91T8A7Y8YMffHFFxoyZIikKyuslCtXzqu1LctS7ty55XK5lJiYqEKFCrknRU4rvphQ/cUXX9Rnn32mZs2a/b/27jyupu3/H/hrn+ZUmpSKS2WmohQSzSLJNZUxDXJxjV1TMtU1Zp4yJ8TlZgopNJuizDJnFmkgoiit3x9+7W/pZPjcvc9OrefjcR63ztr3vN+lc84+a6/1fqNly5bsezUfhCyeDgDLli1Dhw4dcOjQIbYbVnkNGjRAZGQkunTpgiVLliAiIoKz2AYGBjh48CBMTEygr6//3eLenBfnLEdSr2sPHz5k30MePnzIyWP+F0lJSVi6dCm8vLx4jTN79mw0aNCA/VrIAttCNOYob/bs2TA2NkZCQkKFc/8lS5bA1tYWs2fPxvHjx3mJLen378LCQvj4+GDMmDFim7z88ccfnMb7mpAFl8vk5+dXeU6mr6+P/Px8zmOGh4fDzc0N+vr67N/6x48f0bt3b9y5cwfJycmcxyyvUaNGYluz8/3v7ePjg3v37gEA5s+fDysrK1hbWwNAld3YuPbbb78hKysLANCqVStERUWhR48eAL683nL9uQSg3ce+KSsrCyNHjsTRo0fh5uaGoKAgQTpC/f7775gzZw7q1q2LAQMGQFVVFW/evMHevXsRFBTEPlGvX7/OdkPgwpgxY9iv27Vrh5s3b+LQoUNgGAaOjo5o3rw5Z7G+Jisrizt37qBly5ZwdXWFjo5OhTd/vifjbty4gY4dO0JPTw/379+HsbExcnJy8Pz5czRs2BCGhoacxBH6pKa8rl274sqVK7C1tZV47EOHDmHXrl14/PhxpfbzDMPw3kJ45syZeP/+PVasWAEAiI2NRa9evfDx40eoqakhOTm5ykmE/8W3uiHJyMhAW1sbjo6OGDRoEKSl+XuZdnZ2RnJyMoYPHw5/f384OTlBVVUV0tLSKCgoQGhoKG+xjYyMcPfuXXTv3h22trZYsGABmjZtCllZWQQFBcHExIS32Hp6erh+/brYv/Vr165BX1+fl7iNGzf+7vO9adOm8Pf3x/DhwzmNPWPGDBQUFGDFihXYs2cPgC+T0HJycpg+fTr8/f0BAIMGDcKIESM4i/vu3Tt4e3vjwIEDGD16NLy8vDB06FCYm5sjJCQEw4YN4yxWVUJDQ7Fo0SJMnz4ds2fPRkBAAAgh2LlzJxQUFDBt2jRe4h45cgQLFy7E5MmTeXn86uT06dNYtmyZ2AmhMiKRCGPGjOH892Ftbc12sLO2thb0PVVSr2vlPyiJ+9AkaQzDoGHDhrzHmTNnDvu1JLr/VmcpKSkIDQ2tdDG4Tp06mDJlCnx8fHiLLen3bwUFBURGRmLUqFGcPu6PcnV1RXh4OKZOnVrhoq2enh7Cw8PRq1cv3nPQ19dHVFQUHB0dK41FR0fzct7Sp08fBAcHw8vLCw0aNECnTp0wYMAApKamIj4+Hi1btuQ8Zplr167hzZs37MXqgoICTJ06FZcuXUK3bt0QGBjI22u9m5sb+7W+vj7u3r3LdhO1tLSEuro6L3HLs7GxQWJiIvr37w9fX1+MGTMGt27dgpycHE6cOMFPh0PO1x7VEP/88w/R1NSsFsWm37x5Q6ysrNilsrKysuw+bSsrK/LmzRs256NHj3ISs7CwkPj7+1fqCCUpQi+H7tWrF+nbty8pLi6usLXk6NGjREtLq0LR7Zri/v37pHXr1mT//v0SrfMRHBxMGIYhWlpaxNLSUpDOQC1atKiwLLdDhw7EwsKCREZGknbt2pGBAwdyGq9169aVig2X3Vq0aEHq1q1LGIYhHTp0IO/fv+c09rdcuHCB+Pn5kb/++ovEx8fzGmvv3r1k3rx5hJAvxfR1dXXZZf/q6uq8Lg3+66+/iJaWFrl06RK7fezSpUvk0aNHpGHDhmT27Nm8xN28eTPR19cnrVu3JoGBgWTDhg1kzpw5pFWrVkRfX58EBwcTR0dHIhKJeOvs8fr1a3Ls2DESHh5OoqOjee1aQgghTZo0ISoqKuTff/9l73v//j0ZOnQoYRiGeHt78xqfEOEKqmtqagpaG+/evXtk48aNZMGCBWTTpk3k3r17vMWSlZX9oWLOp06d4nSbe3Uj5OuakEaPHk0mTJggdBoSlZSURPr168e+fn9945uQdW6E+Du3tLQUvCZZVQWXJWHx4sVsLb60tDTy/PlzkpaWRiZOnEikpKTIkiVLeIs9duxYoqGhQVxcXEidOnUq1Pfhi729PZkyZQr7/fjx44m0tDRp164dkZaWJqtXr+Y9ByFlZ2dXqGm6bNkyYmpqSszMzMicOXPIp0+fOI9JJ4XE6N+/PxGJRMTZ2Zm8ePFC6HQIIV9eiKKiosi0adPIiBEjyLRp08ixY8d4fUGSl5cXrGPEo0ePvnvjk56eHomMjGQLfKWmprJjwcHBpGvXrrzGL1NYWEhu3bpFSkpKeI+lpKRE5OTk2L34ysrKFW4qKiq8xG3cuDHx8fGRyM9YFWVlZXYSJCcnh4hEIhITE0MI+XLy06BBA4nndOzYMaKsrExmzJgh8dhCKCgoIIcPHyZHjhzhvX7W27dvSdu2bYm0tDRp27YtEYlExMTEhCgpKREzMzPeajnNmjWLuLi4VHrdLi0tJT179iTTp08nhHypz1FTunK1a9euysmIzZs3S6RAp1AF1UeOHEmmTp3Ky2N/S2lpKfnzzz+JlJRUhYspUlJSZNy4cbzE1NHRIeHh4d89bteuXbx2ZipfgPlrubm5Eim6XJ4kXtdsbW2rvNnb25N+/fqRRYsWkVevXvESn5AvLaKbNGlCxo0bR06cOEEuXrxY6ca1bxXW3rlzJzly5AgvHZkIEaZd9NeqQ52bMpL4O09OTiaNGjXipfvv9zx+/Ji8e/dO7NinT58k0i25tLSUjBw5slItLYZheG+RXlpaSlxdXYm8vDw5efIkr7HKaGtrk4MHD7LxNTQ0yPz58wkhhAQEBLAdUynu0EkhMZSVlcnmzZuFTkNw7dq1q9BRoTZRVFRkr3rKyspW6NoTHx/PS+X51atXV+gKk5aWxhYoNTAwIE+ePOE8ZnnDhw8nnp6e37zxQVlZuVK7akkrX8w9MjKSyMjIsBMDycnJbGcmSZs3bx5p3ry5ILH5lpSUVOVJVkFBAe8T0h8+fCALFy4kVlZWpGnTpqRTp05k/vz5vK7MatCgQZWrOQ8fPswWbdy/fz+pU6cO5/FfvXpFpk+fTjp27EiaNm1Kbty4QQj5UrTx0qVLnMcjhJCioqJvjl+/fp2XuOUJVVD93bt3pFu3bmTSpEnk5MmTEvmgTMiXK4oMw5AxY8aQCxcukGfPnpELFy6wE0V8NMgYMGAAsbS0ZFsYi/P582fSqVMn4ubmxnn8MuULEX8tLS2N91XGQlzcsLa2Jrq6uoRhGKKvr086duxIGjduTBiGIXp6eqRt27ZsQeK7d+/yksPXK7m//tDKx++9fCxx8csmQj09PUlxcTGnsYVoF/21yMhIwjAMadu2LVm6dCnZtWsXWbp0KTE1NSUikUgiOUhSmzZtiIaGBhGJRERDQ4O0adOGGBkZsTdjY2PeYpc9l8R1D01JSZFod73bt2+T9evXk3nz5pH169dz3iG3/O+0/K1p06ZERUVFYr9zOTk59nPY5cuXiUgkYi8wxcfHc36h+nuF6yVZxF4otKaQGNeuXeO1wOqvYtasWZg6dSqsrKw4q6Hzs+7fv4/4+Hjk5uZCU1MTtra2nNZNqoqenh5ycnIAAE2aNEFycjK7j/fatWu8FAXesmVLhVoe06ZNg7q6OmbNmoWVK1di3rx52LhxI+dxy4SFhfH22N/SuXNn3Lp165t1dvhmaGiIo0ePwt7eHnv27IGFhQUUFBQAAC9evICampogeVlYWLAFgLnyvUKsX3vw4AGn8cvY2tri3LlzsLCwqDR2+/Zt2Nra8lpYXUFBAdOnT8f06dN5i/G1nJycKotYFxUV4fXr1wAADQ0NEEI4jf3w4UN07twZ+fn5MDExQUZGBj5+/Ajgy2taSkoKtm3bxmlMAGwdvvz8fKSkpCAnJwfOzs7sc6pNmzacx/yaUAXVCwsLUVJSgpUrV2LVqlUVxgghYBiGl7/xLVu2YNy4cRVi6unpwdzcHFJSUti8eTPnNfn8/PxgZWWFvn37Yv369WwR5DKZmZkYM2YMUlNTsXLlSk5jl/et501RURHvjSsaNGiAYcOGwdPTU2LF1GfOnIkRI0bg3Llz6NChA3t/SkoK3N3dsWDBArRo0QKOjo6YOXMm9u7dy3kOfLx2fM+FCxfg7u6Obt26YdCgQdDW1sbLly/xzz//4MSJE1i/fj0uXryIoKAgNG7cuEI9ov/qxo0bmDx5MvteWvY8NjY2xqxZsxAUFMR7nZmyOjdfNyeRZJ0bSdLQ0ICmpqZg8RmGQdeuXbFv3z6xdX0kpXnz5rzWdFVXV6/yHFFPT4+3uF/T0NBg37cTEhKgra3Nfv779OkT5+dI1aHGa1BQ0A8fyzAMZs2axW0Cws5JUVXR19dnZ6QbN24sdr9y2c3AwICXHHr16kV0dXWJjIwMMTMzIy4uLqRXr17szdXVlZe4hAiz/L08Ly8vdi/r/PnzibS0NPHx8SGjR48mCgoKxNfXl/OYqqqq7Iqkt2/fEhkZGbZt844dO0jjxo05j1kd3L59m7Rs2ZJERkZKtJZReSEhIYRhGKKurk5EIlGFFXLjx48n9vb2guQVGRnJ+aq0r1eE/fbbb0RWVpbY2NiQgQMHEhsbGyIrK0saNWpEvLy8OI1dXvmWyl87d+4ckZaW5i22OCkpKWT9+vXk5s2bvMXo2LEjadeuXaU6Prm5ucTExIRd7r9z507OX9f79+9PWrZsSZ4/f16pVtru3btJ06ZNOY1XXlBQEFFUVGSvxJXFtbOzIwsXLuQtbpnAwEC2dlFcXByRlpYmioqKREVFpdLznUu9evUiysrKZNKkSWTTpk0kLCys0o0PcnJyFVa3lnfixAkiJyfHS9zVq1cTKSkpIiMjQzp16kQGDx5MBg8eTDp16kRkZGSIlJQUWbNmDedxHz9+TJKSkkhSUhJhGIZs2LCB/b7sFhMTQ/r27UsMDQ05j1+em5sbkZeXJyKRiHTo0IFs3LiR5Ofn8xrT3NycbN26VezYli1b2G0WGzZsIPXq1eM1F0kaOnQo+euvv8SO+fn5sSvSJk+ezPnrmxDtoqsiqTo35VfhfW9VRU1bScEwDElISCC9e/cmsrKyFV67JbVS6OrVqxVWUBcUFJDRo0eTDh06kFmzZkm0vpEkuLu7k2bNmpHVq1eThg0bkhEjRrBja9asIa1atRIwO358r54u37V16Uqhaqo6dNO4du0aZGVloaenh9zc3EqtfPnMacWKFQgJCcHo0aPh6ekJXV1dZGZmYvv27QgJCYG+vj6v3ccCAgKQmZkJ4MuKnZcvX2LXrl1gGAZubm5YunQp5zE/fvwIGRkZAMC5c+dQWloKBwcHAF+6Fr18+ZLzmF/LyMjA3LlzERcXx67OcnBwwOzZs3lbLdakSRM4ODigT58+YBgGioqKFcYZhuGl1WZ5o0ePhpqaGs6ePQsLCwsMHTqUHSssLISnpyev8aty7Ngxzq82l18RtnPnTpw5cwb37t3Db7/9xt7/+PFjODo6si04ufL27Vu8efOG/f7ly5eV2rQXFhZi+/btqF+/PqexyxsxYgRKSkrY38WePXswePBgAF86HyYkJKBTp06cx12yZAm6deuGRo0awc7Ojm0LHx8fj5KSEsTGxgIALl++zPlV3ri4OKxfvx66urqVVqfo6Oiwr3dcCwkJQWBgIMaMGYMePXqgZ8+e7JiLiwsOHDjA+2qt2bNns1/b2dnhzJkz2LNnD0QiEXr27Mlbx8WEhAQsX74cvr6+vDx+VerWrYvHjx+LHXv8+DF7bsG1cePGwdTUFAsXLkRiYiJSUlIAAIqKinBycoK/vz8sLS05j7tt2za2Ew3DMBU6p5Yh//+q8tcrtri2d+9e5OfnY/fu3QgLC8OoUaMwadIk9O3bF56enrC3t+c85vXr16vs/NWwYUPcvn0bANCiRQve30sl6ejRo4iIiBA71qNHD/Tv3x/Al+f8mjVrOI0tRLtoALh06VKVYwoKCvjw4QMuX77M3mdqaspZ7NmzZ6NBgwbs10KvqpA0RUVFHDhwAH/++Se8vb3x9OlTzJw5U2Lx/fz8YGpqynbjmjFjBjZv3gwjIyMsXLgQ9erVw7hx4ySWD98WLlyIHj16YMKECTA0NKzwPh4REYGOHTtKPKeioiLIy8vz9vilpaW8PfYP4XyaiaI40LJlSzJ+/HixY+PHjyctW7aUcEb8a968OVtTaMyYMcTMzIwd279/P9HS0uI1/q1bt4iqqiqRl5cnzs7OZMSIEcTZ2ZnIy8sTdXV1cuvWLV7i+vn5EYZhSLt27cjgwYMlVstISLm5uVXeXr16RS5fvkymT59OpKSkyMaNG3nLo1WrVlV2uQoPDyctWrTgNN7cuXN/aL82wzAkICCA09jlGRgYVCg426ZNG9KjRw9y9epVYmtrS1xcXHiLffXqVTJgwACira1NpKWliba2NnFzcyNXr17lLSYhhCgoKLCrR76ug3H06FGirKzMS9yWLVuyqy6/jnvkyBGira3NS9zqQEdHp8oVO3waMmQI0dbWrtQ99PLly0RXV5cMHTqU9xw+f/5MsrKySFZW1jfrDHHh5s2bZN++fSQiIoIwDEMWLlxI9u3bV+F25MgR8vDhQ17zECc9PZ1MnjyZ6OjoEJFIxMuK30aNGpHRo0eLHRs1ahT57bffCCFf6pZxeR4RGBjIFnIODAz85q18vUSuKCsrkw0bNogdW79+PVtzJDY2lvP6I2PGjCF//vknG4thGGJnZ0d69OhBpKSkeCsw/6N1TyTRpVcI5eviNWnSRCJ18QipvLL577//JgzDEF9fX3L69GmJ/K6FLLz85s0bcuHChUorMCXRjEhc4fJr167xWjh/z549FTrd3bt3j7Rs2ZKIRCJiZWXFe9dWodCVQlS19ODBA7i4uIgdc3Fx4bW2DvDlCpSzszNEIhGvccobOnQoAgMDcejQIVy9erXCaqS0tDQ0a9aM1/gzZsyAhoYGEhMT2atBAPDs2TPY2dkhICAA+/fv5zxuWFgYpk2bhoULF3L+2D/r9u3bSEpKQk5ODnx8fFC/fn1kZmZCTU2NrTHEBU1NzR+6yjZ27FiMHDmSs7hfy8jIQN26dcWOqamp4dGjR5zG69atG5SUlEAIwdSpUzFu3LgKK5SALzVojIyMOF+lVN7Lly/RqFEjAF9qnaSnpyMkJATGxsaYMGECRo0axVtsY2Nj/Pvvv7w9flWaN2+O2NhYsbUQkpOTeavt8+DBAzg5OYkdU1ZWrrByjEs/U6OMYRjExcVxnoOHhwf27Nkj8foTZSt1LCws0KpVK+jo6ODFixe4efMmdHV1JfJaKxKJoKWlxXscAGjZsiVatmwJ4MuqIRcXF95WavysVq1aITg4GNbW1hgzZkyllZFcGDlyJGbOnIn8/HwMGDCAXYG4d+9e/Pvvv2xdurNnz8LY2JizuHPnzkX37t2hq6uLuXPnfvNYPupfdOvWDTNnzoSBgUGF59jx48cxa9YsdOvWDcCX93Wu64YFBgYiLy8PADBq1Ch8+PCBXU0+c+ZMBAQEcBqvjBC1m6qLr+viPXjwQCJ18cSZOXMmGjRogJEjR+LUqVMSifnmzRu2ptLVq1fx+vVruLm5AQDs7e05Xw0HACUlJRg1ahR27NhRZf07Pms/Al9qHH3NyMiI15hLly5lf7cAMGXKFLx+/RoTJkzAzp07sWDBAixZsoTXHHr16oWxY8dWef7EBzop9IsghCA1NRWPHz8WW6jUw8ODl7jFxcXYsWNHpe1EQ4cOZbc68UGo5e9lXF1doa2tDQ8PD3h6erInnHwKCAiAtLQ0zp49iz59+lRYBnrjxg3069eP1/hJSUlYvXp1hQkh4EvhzNmzZ2P8+PG8xP38+bOgRfvKchg5ciTCwsLYArA9evRA/fr18ccff6Bdu3Y/VQDue7619FpaWhra2tqws7ODgYEBZzHFady4MbZu3QpnZ+dKY5s3b2YnTrjSqVMndlvW+/fv4evrC11dXU5j/AgZGRkUFRUBAM6cOQN5eXl2KbKamhpvExVC8vX1hZ+fH3R1dTFkyBAAX4o17tu3DyEhIVi7di0vcevWrctus/jao0ePeJs4SExMhIqKSpXbaiTBxMQEAQEB6NOnD3r27Cn25LZv376cx23YsCGuXLmCZcuWISEhAQ8fPoSGhgamT5+OSZMmCVqslW+DBw/Gp0+fxI69f/8esrKyvJ67lHfv3j2EhYVhx44dyMzMhJ6eHvz9/TmPM2PGDBQUFGDFihXYs2cPgC/njHJycpg+fTobc9CgQRWaWfxX5bc6CLHtYdWqVbCxsUH37t2hrKzMToa9e/cOhoaGFQqaT5w4kdPYmpqaFZ5Hfn5+8PPz4zSGOMOHD+c9RlV27NjxU8dz/blk6tSpUFVVRVpaGrS0tCArK8uOWVlZcVpI/Ed4enqifv36GDBggETiSbrwMvCllMeRI0cQGhoKDw8PrFu3DjIyMti8eTPy8/OxevVqzmOWd/v2bQQGBiIxMRG5ublISUmBqakpAgMD0bVrV962fj948IC9UFZUVITjx49jw4YN8PDwQPPmzbF06VLeJ4Vu3boFZ2dnGBoa4s8//4SXlxfvn33p9rHvmDx5Mjl+/DjbnloId+7cIc2bN6/UdpPPYlOEfFkuaGZmRhiGIUpKSqRJkyZESUmJMAxD2rdvz2vxRKGXvx87dqxCwciOHTuSTZs2kbdv3/IaV0jy8vIkOjpa7Fh0dDRvbdkHDBjALoEVSmBgIJGXlyfLli0j6enpFba4rFu3jpibmwuaH1+2bdtGGIYh5ubmZPny5WT37t1k+fLlxNzcnIhEIhIaGip0irzo0KEDGTJkCHn79i1xcnIiDg4O7NiuXbtIw4YNeYt96tQpMnr0aOLs7ExsbW0r3Ozs7HiLSwghvr6+bMH+sv+KRCLyxx9/8BZz0KBBxMTEhBQUFLDbxy5dukSKi4tJhw4dKhSP5JKhoSFhGIZ07tyZbN26lRQUFPAS51uEKBT54cMHMmjQILaVb20zfPhwMnDgQLFjgwcPJj4+PrzGf/fuHdm6dSuxsrIiIpGIyMvLE3d3dxITE8NbIdiPHz+Sz58/k9evX5Po6GgSHh5OoqOja+wWh/Lev39P1q1bR9zd3YmDgwNxd3cnISEh5P3790KnVuOIe/36+nNJ+S1sXFNTUyN79uwhhFTeipyQkEDq1KnDecwf8fDhQ5KYmMh7HCEKLxsZGZFVq1ZV+n0TQki3bt3I9OnTOY9Z5vLly0RJSYno6OiQgQMHVmhSMXnyZLaQPB/k5eXZrXGJiYlEJBKx29WSk5OJgoICb7HLi4qKIj169CAikYgoKSmRP/74g1y7do23eAwhPEwt1iBqamp4+/YtZGRk0KlTJzg4OMDBwQHm5uYS21rk6OiIe/fuYenSpTA2NmZb/JbH9RV94MvWle3btyM0NLTCTPi+ffvg7e2N4cOH87JcEQCePn2KTp064cWLF2KXv587d67SihY+vHnzBrt378b27duRmpoKBQUF9O3bF15eXry1UC8qKsKlS5eQm5sLDQ0NmJqa8lrYrEzbtm1hZGSEnTt3VhobPnw4rl27VqGAIVeuX78Od3d3/PHHH1VeTRd3H5cMDAwwYsQIzJgxA58/f4aMjAzS0tJgamqK6OhoeHh4IDs7m9cchBIWFoaZM2dWKDSso6ODv//+G97e3rzGfvToEf7991+xKyAZhsHWrVt5iRsREYGBAwey3x86dIgt7Ozj44OsrCwcPXqU87jbtm2Dj48P1NXV0axZM7Gv5QkJCZzHLS8lJQVRUVHIysqCpqYmXFxceCn+W+b+/fswNzeHiooK+vTpgzVr1sDT0xOXL1/GkydPcOnSpUpbCLmSlJSErVu3Yv/+/ZCSkoKbmxu8vb15/Xm/jv89fGyTrFOnDqKjo9mCpLVJo0aNsGjRIgwaNKjS2J49e+Dv74+HDx/yFl9JSQmFhYVo164dvLy8MGTIEKiqqvIWr6ioCHXq1MG+ffvQp08f3uJUN4WFhfDx8cGYMWNgZWUlkZiCt4sWWPnV+y9fvoS7uzucnJwwePBg1K9fn23IcuLECezduxcdOnTgNL6ioiIiIyPh6OhY6TwtKioKgwYNwtu3bzmNWZ08fPgQPXr0wN27d2FoaIj4+Hh2Jay1tTWaNGnC+TmTkpISoqKi0LVrV0hJSeH06dPs++fBgwcxYcIEXrbEAkD37t3x7t07nDx5ErKyspCVlWX/vSMiIjBt2jQ8ePCAl9gGBgaYOHEixo8fD39/f0RGRuLmzZsAgMOHD8Pb2xs5OTm8xBYnIyMD69atQ1hYGPLz89GlSxeMHTsWffr0gZSUFHeBeJtuqiFKS0vJhQsXyPz584mdnR2Rl5cnDMMQVVVV8vvvv1coRMUXFRUVsnfvXt7jfE1PT48sX75c7NiyZcuInp4er/Gzs7PJ9OnTSYcOHUiTJk1Ihw4dyIwZM0h2djavcaty8+ZNMmXKFKKlpcVbu81ly5YRVVXVCoUC69atS5YuXcpLvPK2bt1KGIYhvXr1Ivv27SNnzpwh+/btI7///juvq0bEXWH6+sY3WVlZEh8fTwipfAUqPj6etxbO1YWkWtqWd/ToUSIrK0ukpKSIjo4Oady4cYWbvr4+r/HPnTtHli1bxrYVLjN79mwSFRXFS8wWLVoQd3d3UlRUxMvjV+XDhw9EV1eXHD58WKJxy6SnpxMnJyciIyNDGIYh0tLSxNHRkdy8eVMi8fPz88n69euJhYUFYRiGtGjRggQHB5OXL19KJL6kWVpaSuTcpDqSk5MjCQkJYscSEhJ4W/FaZuLEibxeyRWnXr165Pjx4xKNSQiptNLxWzc+VkEqKipKpNBtGaHbRVcnAwcOJBMnThQ7NnHiRF5WcbRt25Yt4P31edrUqVNJp06dOI23fft2kpOTw379vZukSLLwspaWFtssQUNDo0JjkujoaKKoqMh5zDJKSkrk0KFDhJDK/95JSUm8rtb566+/iJKSEunbty9RUFAgc+fOZcf+/vtvYmFhwVvsb8nLyyN2dnbsa0yDBg3I6tWrOTtnpzWFvoNhGJibm8Pc3BwzZsxAUVERkpOTsXz5ckRGRuLw4cNi259ySUlJif99hGJkZ2dXWZTQxMSE81lSPz8/TJo0CQ0bNsSTJ0+go6NTLYoPA1/25z99+hRPnz7F27dvedm7u2bNGkyePBmOjo6VrrxMnToVMjIyvNX1AQBvb29kZWVh3rx5iIqKAvDl51ZQUMD8+fPh5eXFS1xJ7wMXR0tLCw8ePBC7P/nOnTsSWZUmKUK2tC0vICAAnTt3xp49eyRWkLa8jh07im1pGhgYyFvMx48fY82aNWJXCPFJQUEBhYWFqFOnjkTjlmnVqhViYmLw8eNH5Obmcl64/XtUVFQwatQojBo1Cjdu3MCGDRswY8YMpKSk8FI8/2vv3r3DuXPn2Lp8HTt2hLKyMm/xFi1ahGHDhqF169a8FmyvjlRVVXH//n3Y2NhUGrt//z6vv3fgSw0OSevVqxcOHjzIFlaWlNLS0h9uS87HOVPbtm1x48YNia2I+5m6Sa9eveIxE+FFR0dj3759YsecnZ15qbMj6bp4np6eSElJgYaGBjw9Pb95LMMwvNV2/drXK+eLiop4K7zcokULdmWlpaUlli9fji5dukBWVhbBwcFo3rw5L3GBL68Z5etGlff69Wtez6P+/vtvFBQU4OzZsxg8eDCmTp3Kjh09ehQODg68xRbn2bNn2LBhA7Zs2YLs7Gz06NED7u7uiIyMxMSJE3Hnzh1u/v45mVqqBZ4+fUpCQ0PJ4MGDiba2NmEYhhgYGJCRI0fyHjsgIIAMGzaM9zhf09fXrzA7Wl5gYCDnV/LLt3wUiUQV2j8K5d69eyQgIIA0bNiQnZWdMWMGuXfvHuexDAwMqvx3HjJkCDEwMOA8pjhv3rypUJfgzZs3vMX6+PEjOX78OHn8+DFvMX7EyJEjib6+Pnn27FmFuidv3rwhLVu2rPKK2K+ourS0VVRUJDExMbw9fnVkampKwsPDBYndv39/4u/vL0js6uLmzZtk8uTJRFtbm0hJSUnk97FkyRKipKRUofaGkpISWbZsGW8x27RpQzQ0NIhIJCIaGhqkTZs2xMjIiL0ZGxvzFltoAwcOJAYGBpWupufm5hJDQ0Pi7u7Oew7l22Y3bdqU97bZJ06cIA0bNiReXl7kyJEjJC0tjVy8eLHCrSZKTk4mjRo1kkg9lx9RWlpKoqKiSN++fWv86mJlZWUSEhIidmzdunVERUWFl7iSrIv36NEj8vHjR/br7934JkSb9HXr1pG//vqLEELIpUuX2PcykUhE5OTkeFtVTQghnTp1Ir6+voSQyiuFRo0aRezt7XmLXV3ExcWRPn36EBkZGaKsrEzGjh1L7t69W+GYlStXElVVVU7i0ZVC3zFu3DicPHkS9+7dg4aGBuzs7PD333/D0dGR8xaX5R04cID92sjICLt374arqyt69eolttUqHx1M3N3dsWDBAigrK2P48OHQ0NBAbm4uwsPDsWDBAs47LaipqbFdasj/7wAllG3btmHbtm04c+YMZGVl4erqCi8vL3Tr1o23WlKZmZns1Y+vDRs2TCJXtIEv3YK6d+8ukVjS0tJwcXFBdHQ0b3VFfkRQUBCio6PRqlUr2NragmEYzJgxAzdu3ICMjEyNqg1QXVraNmrUCAUFBYLEFolE33194aPN6oIFCzB58mTY2NhAT0+P88f/lhkzZqBfv36Ql5dH3759oaOjU+l3wFXtLqG71JRXUFCAf/75B6GhoTh//jwMDQ0xfvx4eHp68t75bseOHZg6dSp69OjBxsvMzMT27dsxZcoU1KtXD8OGDeM8roaGRo3uMPYtc+fOhbm5OZo2bQp3d3fo6enh2bNniIiIQHFxMa8rAYEvdT8sLS3x9u1bmJiYICMjg/e22WUti8PCwrB9+/YKY2XnUny3jRbCmDFjUFBQADs7O6ipqVV6TWMYBlevXuU9j4yMDISGhmL79u148eIFZGVleTknr066d++OgIAA/Pbbb+jZsyd7/9GjRzFz5kze2mhv2rQJ3t7eEqmLV1ar9dOnT7hz5w5atGgh6HmqEG3Sy++EadeuHW7evImDBw9CJBLB0dGR15VCEyZMwODBg1GnTh32ffLJkyeIj49HaGholSvVaoqWLVvi7t270NfXR3BwMLy9vcXuGurQoQPy8/M5iUkLTX+HSCSCoqIixo8fDz8/P4mdaJV9aCl7Q//WPxNfb/gfP35E7969ceLECTAMA2lpaZSUlIAQAicnJ0RGRla5tO9/0bNnT6SmpsLCwgLHjh2DlZVVlQUaGYZBZGQkZ7G/JhKJKhSKVFNT4y1WGRMTE/z1119iPyCFhYVh2bJluH79Om/xt23bhsePH2Pu3LmVxubOnQsDAwNePrwZGBhg2bJlghfJzMrKwpw5cyqdbAQFBaF+/fqC5lYThYeHY926dYiLi4OioqJEY8+dO7fShEh2djZOnDiBz58/w8PDg5dtja6urrhy5Qpyc3PRtm3bShP8fL6ulZ/MrmpCjKv3kfKTbt87xeDr/Ss5OZktMk0IQf/+/eHt7S3R7VTt2rVD69atER4eXmls6NChuHnz5je3c1L/m6tXr8LPzw/Jycn4/PkzpKSkYG1tjeXLl1e5JZ4rAwYMQHp6OmJjY9m22WXFUf/55x/MmTMHd+/e5TTm1xNB4gjZypwvNjY2353c56twf1FRESIiIrB161acOnWKPVf38/PD9OnTxV68rUlevHgBe3t73LlzB8rKytDW1kZWVhbevXuHpk2bIiEhATo6OkKnyYnS0lLIy8sjOjoa9vb2guWhoaGB8PBw9OjRA0VFRVBXV2fbpG/cuBFLly7FvXv3BMuPDwsWLMDcuXPx+fNn9jkmLS2NwMBATJ8+ndNYy5cv/+FjGYbBpEmTOI3/NQcHB0yYMAEuLi7ffJ379OkTXrx4wUnDKTop9B3Lli1DXFwcTp06xXaUcHR0hKOjIzp37szppEh5P9K1pDw+T3SPHz+OhIQEthuWvb09HB0dOY/z+PFjTJw4Eenp6cjIyIC2tnaVe0YZhuGt6jzw5Yoe3yePXzt06BAmTZqEI0eOoE2bNhVy6d27N5YvX87rxEm7du3g6emJCRMmVBpbu3YtwsLCkJaWxnnc+fPnIyEhAcePH+e2ij5VrY0fPx5RUVEoLCyEra2t2AmSVatWSTSnT58+wcnJCW5ubhg9ejTnj9+4ceNvvrnz+bombiLsa1xNhIlEItStWxfu7u4YOHDgd+u4mJmZcRL36xxUVFTg7u6OQYMGfbcuHx+1sxQUFHDw4EGxKy9jYmLQp0+fSl33KO4UFhbi9evXUFdXl0gHT+DLarv169fD3d29UoekxMREuLi4CLZCkms/suKyDMMwKCkp4Tkj/qWmpmLr1q3Ys2cP3r17hzp16mDAgAHo168fXFxckJiYWGu6/hUVFSEsLAyJiYns5wNbW1t4eHhItGacJFSHi5cKCgo4fvw4unbtiqSkJNjZ2eHly5eoV68eTp06BScnJ3z48IHTmE+fPsWpU6fY7rS6urro2rWrROtsPnv2DDExMXj16hU0NTXh5OTES8ftn9kFwvfqy6KiIgQFBaFfv368nB9VhU4K/aDi4mKcOXMGcXFxOHnyJC5dugRZWVl06dIF0dHRQqdX44hEIqSkpMDCwkLoVCTG1dUVly9fxosXL9C6dWu20HR6ejp0dXXRtm1b9lg+VhQoKyvj0KFDYq+ExMfHo0+fPpwtUSxvyZIlWL16NRQUFODq6ip2CTjfM/KU5H3vDVioLQ8HDhzAtGnTatwVN+DLqp3c3FwwDAN1dXXetuieOnUKoaGhiIiIAMMwGDBgALy9vSXWOhr4v7+v7/2MfG6vUVdXx9q1azF48OBKY7t378bYsWORl5fHedwy+fn5uHv3rtiJp9rwwbWwsBB5eXnQ1taGtLRkqiXUprbZPzLRXF51aCrxXxgbGyM9PR0A0KlTJ3h7e8Pd3R116tRBfn4+1NTUatWkkCT86MVZhmEgJycHAwMDDB06FC4uLpzmUR0uXkqyTfq7d+8wcuRIREREgBBSYcWvSCTC4MGDsX79esGaV/Dh8ePHP3U8HxNT5SkqKiImJkairye0ptAPkpGRgY2NDRo2bAg9PT0oKysjLi4OJ06c4D12dnY2Xr9+jWbNmlUau3v3LtTV1Wtc/YCEhAS0atVKojGDgoJ++FiGYTivM3Pt2jVIS0ujYcOGePv2LXvi2LBhQwCosHWMrw9zVU365Ofn83aVb9q0aezX4pZvSmpS6PTp09i9ezceP35c6UMUwzCIi4vjPYfa5Gc6uUiSgoICXrx4IXQanDp37hwWLVqE+Ph49kqioqIi7O3t4e/vjw4dOnAar0uXLujSpQvWrFnD1vPp2rUrmjRpAh8fH3h4ePC+taA61M7q0qUL5s6dCxsbmwr1i16+fImgoCDeTvZKSkowatQo7Nixo8rJrppYY6ZMQkICZsyYgdTUVADAhQsXYGpqij///BP29va81ntp3rw5YmNjxa6mTk5OrrAK+L8ICgrCiBEjoKur+91zFz7OVwCI3WrOt7LOtDIyMnjy5Ml3j+eyBsyNGzfAMAx69uyJRYsWSfwctTb6mYsXHz58QFxcHCIiIrBmzRpOO0PLysrizp07aNmypWAXL/v27YuAgAAkJSUhOjq6wrnztWvXYGhoyEkcQghcXFxw6tQpODs7w9XVFY0aNQIhBI8fP0ZkZCTCw8Px/PlziZwXv3r1Sux5OcDtxQ2+J3l+VlnnN0lOCtGVQt+Rk5ODuLg4xMbGIjY2Fk+ePAEhBK1atYK9vT0cHBzQq1cvXnNwc3ND3bp1sXnz5kpjf/zxB96+fYt//vmHk1j6+vo/tRw4IyODk7jVQXVaOigES0tLNGjQAP/++2+lMTc3Nzx58gQpKSmcx/2R2Xm+X6y3bdsGHx8fqKuro1mzZmK3LfJVm4CqPrKzs+Hu7o78/HxcvHhR6HQ4ERISwm4JNTMzg76+PgghePToEfszrlq1itMTaHFu3ryJrVu3Ijw8HK9fv8bUqVMxb948XmMKLT09HZaWliguLoa9vT10dHTw4sULxMfHQ0ZGBmfPnuXlg+WSJUuwdOlSLFu2DB4eHli3bh1kZGSwefNm5OfnY/Xq1RJvXy4p8fHxcHJyQps2beDk5ITg4GB2pc6cOXNw+fJlHD58mLf4ISEh8PPzw+LFizFkyBBoaWnh7NmzePbsGby8vLB27VpO6vuUX00t1KrLn62HxcUWza9/bkk2DFi9ejW2bduGq1evgmEYWFhYwMfHB+7u7igtLa1VK4WKi4uxePFi9kJaUVFRhXGhtguWlJRg5MiROH36NKe1u6rDyubCwkJMmjQJZ8+ehYWFBdasWcNu0+vYsSPs7e0xf/78/xxn//79GDBgALZt21bla1XZOfP+/ft521L34sULDBs2jD33LpuuKF9vt6Z9Divv4MGDmDp1KmJiYjib8PseOin0HWXLBPX09NhJIHt7e4kWntXT08OqVavQv3//SmMHDhzAhAkT8PTpU05ieXp6/tQqFC6vxtrZ2SEkJAQtWrSAnZ3dN4+lKze4t3v3bgwdOhTDhg3DmDFj0KBBAzx79gzr16/Hzp07sWPHjiq7o/3qWrZsCRMTE2zfvr3KOlYUP+Li4hAXF4fc3FxoamrC3t7+u8///0rc5PfHjx/x6tUriEQiHD58mLPuKVJSUjh37twPfYjh+kQ6JSUFVlZWcHZ2RkhISKU6AM+ePcPo0aMRExODM2fO8L5dNz09HRs2bMD69evh6upaoctmTXX37l3MmTOnUl2+OXPmiF39ywVjY2OMGDECf/75Z4XtS8CXTlWmpqZYuHAhL7GFZmVlBQ0NDURGRqKkpKRCoecDBw5g4sSJP7TC5L8YOXIktmzZApFIhNLSUohEIhBC4Ovriw0bNvAaW5J+tKYQlx/ggoOD4ePjAw0NDYSFhX03Ph8FttPS0ti6Qvn5+VBUVETPnj2xb98+JCYmokuXLpzHrG4mT56MFStWoEePHjA2NhZ73iTUdsG4uDh0794dxcXFnD3m9y5evnr1Cubm5pzFE5KbmxuKioq+O3nu6uoKBQUF7N27l5c8+vXrh8TERPj7+1f5NybJxhGS5urqiosXLyI7OxvGxsZiV6dxXUaETgp9R0hICBwcHHg7efsRcnJyiImJga2tbaWxhIQEthL9r87W1hbr169HixYtBO0qIbSCggI8efJE7L8pH8VQy5s9ezYWLlxYYWuPSCTCjBkzeG/le/v2bSQlJSEnJwc+Pj6oX78+MjMzoaamxnvRQkVFRRw+fBgODg68xqH+z6dPn9CvXz8cO3YMhBC2u2HZ8vz9+/dDRkaGl9jiJr/l5eXRuHFjuLu7o3HjxpzFCgwMhK+vL3R1dSVa7Bn40gkpMzMTp06dqvJKZ2lpKbp06QJdXV1ERERwFrtM2UrW0NBQpKWloWnTpvD09MTw4cNrTHea6kZJSQlRUVHo2rUrpKSkcPr0abZl88GDBzFhwgTeJ0aEUqdOHURERMDZ2blSTZ9Tp07B0dFRIudLKSkpOHr0KFscleu22StXroSHhwfU1dU5e8yf9SNdz8rjYoJGVlYWrq6u8PHxQffu3XnbSv8jxHUga9KkCf744w94enrW6A5kv/32G3x8fKplnah3797h0qVLvE8YEEIQHR2NrVu3IioqqkZ8DgOApk2bwt/fH97e3t88LjQ0FAsXLuSt/qKmpiaWLFkCLy8vXh6/uhOkMQmhqr2GDRuSVatWiR1btWoV0dXVlXBGNZ+LiwuJiYmRaMxXr16R3r17E5FIVOnGMAwRiUQSyePhw4dk06ZNZP78+WTTpk3k0aNHvMYrKSkh3t7eFX7OixcvEkK+/DvMmjWL1/iEEGJqakrCw8N5j0P9n4CAACIjI0OCg4PJq1evCCFfngNLliwhsrKyZObMmQJn+OurX78+2bVr13ePCw8PJ/Xr1+c0dnx8PBk6dChRUFAgSkpKxNPTkyQnJ3Mao7pbunQpycvLk3hcLS0tcuLECUIIIRoaGmT37t3sWHR0NFFUVJR4TpKioqJCDh06RAj58t7CMAz7frJv3z6iqakpZHqcYRiGyMnJETc3NxITE0NKS0uFTkkiBg8eTBQVFYlIJCJ6enokICCA3L9/X+i0yP3794m/vz/R09MjDMMQBQUFoVPilZKSEomPjxc6DUHcv3+fzJgxg+jp6RGRSETk5eXJoEGDeIkVGBhInj9/zn79rVtQUBAnMZWVlX/o3zYhIYEoKytzElMcTU1NcvLkSd4en6qMTgr9gFevXpHp06eTjh07kqZNm5IbN24QQgjZsGEDuXTpEu/xfX19iZaWFrlz506F++/evUvq169PRowYwVvs3NxcMnPmTNKpUyfSrFkzYmlpSWbPni3Iia4kGRoaEpFIRJo2bUpWrlxJ8vPzeY/Zp08foqysTCZNmkQ2bdpEwsLCKt1qosDAQCIvL0+WLVtG0tPTK5zEr1u3jpibm/OeQ0xMDGnTpg159uwZ77GoLwwMDMicOXPEjs2ZM4fo6+tLNqEaSFZWlpw6deq7x506dYrIyspyFrfs9dPS0pJs2bKFFBQUcPbYvxIpKSmiqKhIRowYQa5cuSKxuF27diUbN24khBDSq1cv0r59e/L06VOSlZVFbG1tSbt27SSWi6TZ29uTfv36EUIqTwoNHDiQ9OrVi/OYRkZGP3wzNjbmJOaJEyfIoEGDiIKCAhGJRKRhw4Zk9uzZ5MGDB5w8fnWWn59P1q9fTywsLNgLSTY2NmTnzp2ksLBQ0Nw+f/5Mjhw5Qvr06SNoHnxzdnYmy5cvFzoNiSksLCQ7duwg1tbWFS5gTp48meTk5PAWl2EYcv78efbrb924unAsEonYmN+SkpLC68Xq0aNHkwkTJvD2+FRldPvYdzx8+BCWlpZ4+/YtTExMcP78eaSmprKdLD58+MB7l5PMzEy0b98eeXl5sLW1ZWu9JCQkQFNTExcuXKjQ2YQrz58/R+fOnfHkyRO0bNkSurq6yMzMxK1bt9CoUSOcOXOGl7jVxbFjx7B27VocP34cioqKGDJkCP78808YGRnxEk9VVRVLliyBr68vL4//PdeuXcObN2/YIonv37/HlClTcOnSJXTr1g2BgYG8LNU2MDDAiBEjMGPGjErL/aOjo+Hh4YHs7GzO45bn6uqKK1euIDc3F23btq207JuPvbu1nZycHI4dOwZ7e/tKY3FxcXB2dsbHjx95i//o0SP8+++/VXab27p1Ky9x3717h+jo6CrjctklSFdXF0uWLPluLbDdu3dj8uTJyMzM5CSuSCSCiorKD3X+YRgGV69e5SRudfP48WOsW7cO27ZtQ15eHjp16oSxY8eif//+vLZIDwkJwYMHD7B06VJcvnwZXbt2ZbvOycjI4MCBA3B2duYtvpBiY2Ph5OQEV1dXeHh4oH///li7di3S09OxceNGJCQkwMrKitOYP7LdvaCgABcvXuS8OGp+fj52796Nbdu2IS0tDSKRCDY2NvDx8UHfvn1rfI28W7duYevWrdi1axeysrKgoqKCQYMGwdvbu8bUeKmOMjIy0Lt3bwQFBcHFxQWysrJCp8SL1NRUtn7Uu3fvUKdOHQwYMAD9+vWDi4tLjSwsLhKJcP78+e8+f86fPw9LS0veij0nJibC19cXPXr0QK9evcRux+S7pAbwpcB3Xl4etLW1eX3f/pbs7Gyx3de47K4IgG4f+57+/fuTli1bkufPn5Pi4uIKV512795NmjZtKpE8nj9/Try9vYmuri6RkZEhurq6xMfHh11WyAcPDw+ipaVFLly4UOH+CxcuEG1tbTJ8+HBO45XNdP/ITUpKitPY33L//n0yadIkoqamRkQiEbG2tiYRERGkpKSE0zi6urrk+PHjnD7mz7C3tydTpkxhvx8/fjyRlpYm7dq1I9LS0mT16tW8xJWVlWWXqn59ZTc+Pp7IycnxEre8Ro0akcaNG1d5o6tWuKenp0dWrFghdmzFihVET0+Pt9hHjx4lsrKyREpKiujo6Ejs3zslJYVoaGjwfqWvzIABA4ilpSX5/Plzlcd8/vyZdOrUibi5uXEW19ramtjY2PzwraYrKioiW7duJWZmZoRhGKKjo0PmzJlDMjMzJRL/yZMnZPXq1WTNmjXk9u3bEokppJ07d1Z6nqmpqQmyRbi4uJisW7eOaGtrE5FIRIYOHcpbrPT0dOLn50e0tbXZn/nPP/8kaWlpvMWsLkpKSkhkZCTp3bs3kZWVJSKRiBgZGQmdVo2lpKRE5OTk2PNxZWXlCjcVFRWhU/zPjIyM2M8cnTt3Jlu3bmVXvb5584YwDEOSkpIEzpJ7DMOQJk2afHfVY5MmTXhdKfT1uZGkS2rEx8eTjh07EikpKSIlJcV+LhkzZgzZv38/r7HL/P3336RevXpVfhbmGl0p9B3q6upYv3493N3dK61iSExMhIuLCwoKCoROkxfa2tqYN2+e2JUrmzZtwqxZs5CVlcVZvB8pwlqepAvcvX79Gv3790dCQgIYhoGuri6mTp2KsWPHcrKCZvr06cjNzcXmzZs5yPbn1a9fHxs2bMDvv/8OQgjq1asHPz8/zJgxAzNnzkRUVBQuX77MedyGDRti7ty58PHxqfQc27BhA5YuXYr79+9zHpcS1pgxYxAeHo6wsDD07duXvT8yMhLDhw/HkCFDsG7dOl5it23bFurq6tizZw+0tLR4iSGOpaUl3r9/j61bt8LY2Jj3q6tl3cdcXFywfv36SoWdMzMzMWbMGERFRUmk+xgFnDt3Dv7+/jh16hSkpaXRt29fTJ8+HSYmJkKnVqMUFhbi7NmzyMrKgqamJjp37ow6depINIeIiAgEBAQgIyMDDg4OWLx4Mdq2bct73M+fP+Po0aPYtm0bjhw5Ilh7cCFkZWUhODgYK1euBMBtS3rq//xIp2Kud1FMmTIFjo6O6NKlC+/NR4D/667Xs2dPLFq0CK1atWLH8vPzoaamxvtKoZ/pxMpVV+YfWflYHl9Nf36kkD0f3QUBID4+Hk5OTmjTpg2cnJwQHBzMfi6ZM2cOLl++/N3ubP9VaGgoxo8fj+nTp2P27NkICAgAIQQ7d+6EgoICpk2bxn0Rbs6nmWoYBQUFtmDj16sYjh49ymuRLaHJycmxP/vXTpw4IZEVHNXB06dPSUBAAHulz9nZmWzfvp307duXiEQi8ueff3ISp7i4mHh4eJDff/+dbN68mezfv7/SjU9ycnJs/ZHLly8TkUhE7t27Rwj5MmPO15WfkSNHEn19ffLs2TP2OXbp0iXy5s0b0rJlSzJx4kRe4lLCysvLI8bGxkQkEhFlZWXStGlToqKiQkQiETExMSGvX7/mLbaioqLEC8kT8uXq6uHDhyUac/Xq1URKSorIyMiQTp06kcGDB5PBgweTTp06ERkZGSIlJUXWrFkj0Zxqq5MnT5LevXsTKSkpoqmpSby8vIiuri6RlpYmmzdv/k+P/f79e+Ln5/fNwpwnTpwgfn5+tbbGk6QkJCSw9W7MzMxIbGysRONnZWWRJUuWkFatWrEFqWuykpIScuDAAdKrVy8iIyNDGIYhJiYmvK1upoShqqpKRCIRkZOTIzY2NmTevHkkJSXlmyth/4tVq1aRtm3bsqtSOnbsSDZv3kzevn0rsZVCDMOQunXrkjZt2vzQjeJG586diaurKyGEVNoltH//ftKwYUPeczA1NSXz58+vNPfw4cMH0r59exIcHMx5TGE2x/1CmjdvjtjYWDg6OlYaS05ORps2bXiJGxQUhBEjRkBXVxdBQUHfPJbrOhRl9PX1ERUVJfZnj46Ohr6+Pucxq5P4+HisXbsWR48ehby8PIYPH47x48ejadOmAAAPDw+sWrUKc+fOxdq1a/9zvIcPH+L8+fO4e/eu2Po1XNci+JqGhgaePn0K4MvMv7a2Npo0aQLgS/twwuGiwuzsbNSrVw/Al7/16OhotGrVCra2tmAYBjNmzMCNGzcgIyPDy992VV69eiW21guAGrdvXGhqamq4cOECwsLCEB8fj7y8PJiamsLe3h4eHh681sJo1KiRICs8y/7mJWncuHEwNTXFwoULkZiYiJSUFACAoqIinJyc4O/vz2mrbKqid+/eYdu2bQgJCcHdu3fRpk0bbNiwAUOHDoW8vDyKi4sxatQozJ07FyNGjPif4+zYsQO7d+/+5vmCpaUlPD090aBBA0yaNOl/jlXdEUKQmppa5Wu5h4cHL3GvX7+OadOm4fjx49DX18fu3bsxcOBAXmJ9rWx1UGhoKGJiYlBcXIw2bdpg+fLlGDZsmERykLT09HSEhoYiPDwcOTk5UFFRwYgRI+Dj4wMzMzOh06txLl269FPHc13vJS8vD2lpaTh58iTi4uIwb948zJo1C3Xr1oWNjQ0cHR0xZswYzuKNHz8e48ePR1paGltXaOTIkZg4cSJ69uwJhmF4qbNZnoGBAR48eIC6devC29sb7u7uEl/xWBtdvnwZERERAFDp37hevXp49eoV7zncv38fHTt2hEgkAvDlcxgAKCgo4K+//sKsWbMwZcoUboNyPs1Uw6xbt47IycmRlStXkuzsbMIwDDl37hyJiIggSkpKvHWEEqLi/NcWL15MGIYh48aNI2lpaeT58+ckLS2NTJw4kUhJSZElS5bwEre869evk3///Zds37690o1PLVq0ICKRiBgaGpIVK1ZU2X3s3LlzhGEYTmLa2NiQ+vXrk1WrVpETJ06QxMTESjc+ubu7k2bNmpHVq1eThg0bVuhqt2bNGtKqVSvOYsnIyJB+/fqRY8eOkdLSUvLy5Uvyxx9/kAYNGhAZGRmio6NDfH19yYsXLziL+S2ZmZnE3t5e7J5dSexdpiRr586dpGPHjuT9+/cSjbt8+XLi7OwsWPvoz58/k6ysLJKVlcXb1VXq/4waNYooKysTKSkp0rt37yrb/J46deo/v4+UdQb9nrlz55LOnTv/p1jV2Z07d0jz5s3Z125JnC89efKEeHh4EGlpaaKlpUVWr15NPn36xHkccdLT08nkyZNJ/fr1iUgkIioqKmTkyJE/1D3oV1TWeczc3Jx9j64uncdquh+t+ympc6bCwkJy/Phx4uTkJJGY4jqQNW3alCxdupTXDmSJiYlk2LBhRFFRkSgrKxMfHx9y5swZ3uJVJ6dOnSKjR48mzs7OxNbWtsLNzs6Ot7gqKirk0KFDhJDKu4T27dtHNDU1eYtdRl1dncTFxRFCCKlbty6JiIhgx06ePEkUFBQ4j0lrCv2AkSNHYsuWLRCJRCgtLYVIJAIhBL6+vtiwYYPQ6fGGEIJRo0Zh8+bNFWZKCSEYOXIkrz/7hw8f4Orqivj4eDAMw65SKZ8Hn6tmHBwcMGHCBLi4uHzzSsCnT5/w4sULNGrU6D/HVFRUxNatWzFo0KD//Fj/i4cPH6JHjx64e/cuDA0NER8fj4YNGwIArK2t0aRJE846Mg0ZMgSHDh1CUVERdHR04OnpCS8vLxgaGnLy+D+rX79+SExMhL+/P4yNjcWuUrG2thYgs5pFiP3xZcaPH1/h+6NHj6KoqAi2trZiu82tWrWKk7jLly+v8P3atWuhoqKCnj17io1bk1dw1DZqamrw9vbG2LFjv7myNicnB1FRUf+pPoKqqir27t0LJyenbx53/PhxDBw4EK9fv/6fY1Vnjo6OuHfvHpYuXVrlazkX79flKSgo4NOnT+jevTumTp0KZWXlbx7PxQqKTZs2ITQ0FKmpqSCEwMrKCj4+PnBzc5NIvRWhKCoq4uPHj9DR0cHw4cPh7e0t2HlDbfMjNV7K46vey7Nnz3Dy5EnExsYiLi4Or169gr6+PhwcHLBx40ZeYn4tIyMDW7duxY4dO5CZmQl5eXm2wyNf3r59y3YaTE1NRfPmzeHt7Q0PDw9oa2vzGlsI27Ztg4+PD9TV1dGsWTOxr+V81TNycHCAqqoq9u3bV6nW6aBBg/D+/Xveawp17NgRo0ePxvDhw+Ho6AiRSISjR49CJBJh0KBBuHHjBm7evMlpTDop9INSUlIQFRXFFi10cXGpNUvu79y5g4SEBOTm5kJDQwN2dnZo1qwZrzH9/f0RERGBbdu2wdraGgcOHICysjI2bNiA69evY+/evTWuMKe+vj5CQkLQo0cPQfPIy8uDurp6hfuuX7+O+vXrc7r95es3OIZh0LVrV/j4+KB///6Ql5fnLNb3aGpqYsmSJdwXbaMqKGtVXjbZ+D3Xr1/nNPaP4nKrplBxKWG0b98ednZ2sLGxQZcuXb47QcAVOTk5xMbGokuXLt887tSpU3B0dERRUZFE8pK0unXrYvPmzXBzc5NYzPLP8W9dRCKEcPYcF4lEqF+/Pjw8PODj48Nua6/p+vbtCx8fH/To0eOnXlupX9+4ceNw8uRJ3Lt3j/0sYm9vD0dHRzRu3FiQnEpLS3Hs2DGEhobiwIEDEot748YNbNiwARs3boSrqyv2798vsdiS0rJlS5iYmGD79u28lhMQJzY2Fk5OTnB1dYWHhwf69++PtWvXIj09HRs3bkRCQgKsrKx4zSEoKAiPHz/G1q1b2cLXsrKykJaWRkFBAUJDQzmfeKWTQtWUUFfUX79+jREjRsDLywsuLi5ijynrarFp06ZKV7q50qpVK0yaNAne3t4VZmgBYPDgwVBRUeF1pVJmZibevXuH5s2bAwBKSkqwfPlyXLp0Cd26dYO3tzfnMYODg3H27FkcOnSI88eu7m7duoWtW7di165dyMrKgoqKCgYNGgRvb2+Ym5vzHr9evXr4559/4ODgwHus2qxJkyZ48OABLC0ta83++MePH//U8VyvYqAky9DQEA8fPgTDMJCSkoKpqSlsbW1ha2sLKysrKCoq8hK3QYMGmDdvHjw9Pb95XFhYGGbOnIlnz57xkofQ9PT0sHXrVnTv3l1iMYVYQXH48GH07NkTUlJS//mxKOpXIBKJoKioiPHjx8PPzw+amppCpySIW7duITQ0FDt37kROTg6mTp2KBQsWCJ0W5xQVFXH48GHBzsvDw8MxceJE5OXlsfepqqpizZo1GDJkiMTzuXDhAvbs2QORSISePXvC1taW8xh0UqiaEuqK+pIlS7Bx40bcvn0b0tLi65CXlJSgVatWGDp0KGbPns1J3K8pKiri+PHj6NKlC6SkpJCUlMTOykZFRcHHxwcvX77kJTYAuLi4oFGjRmxL7Llz5yIoKAiqqqrIz8/H9u3bMXToUE5jLl26FCEhIVBVVYWzs3Ol1Tp8bC1JTk6GqakplJSUkJyc/N3j+S62/PnzZ0RFRSE0NBTR0dEoKSlB69atce3aNV7jjhkzBrKysmwbW4o/SUlJ2Lp1K/bv3w8pKSm4ubnB29u71qy8rG0k3Ua4Onj+/DkSEhKQkJCAxMREdpJIWloa5ubm7CSRpaUlZysi3d3dkZmZiVOnTn3zuC5dukBXVxd79+7lJG51M3PmTDx58gQ7duwQOhWKoji0bNkyxMXF4dSpUygsLES7du3g6OgIR0dHdO7cGbKyskKnyJuCggL8888/CA0Nxfnz52FoaAgvLy94enpCV1dX6PR4YWZmBj8/P0EmYMoUFhbi7Nmz7C6hzp071+gLmXRSSAxjY+MfPpZhGFy9epXzHIS6om5mZgY3NzdMmzbtm8ctWbIEe/fuRVpaGi956OrqIjQ0FN27d4eOjg4WLFjAbu05dOgQhg0bhnfv3vESG/hytXHVqlXo378/+/3AgQOxbNkyjB49GleuXMG5c+c4jfm9pdB8bC0RiURISUmBhYUFRCJRlUvfuVz2/iOysrIQHBzMTtLwHTcxMRG+vr7o0aMHevXqJXYFHNedNGo7IffHp6Sk4MmTJ2K3mPz7779o1KgROnTowHncoqIifPr0CSoqKhXiXbp0CY6OjrC3t+c8ptDU1NTw9u1byMjIoFOnTnBwcICDgwPMzc1rzfaPZ8+eIT4+HgkJCUhKSsKjR4/AMAzk5OQ4q0Nx6tQpWFtbw9fXF6tWrao02VRUVIRx48YhNDS0wkWWmmbPnj0ICAhA69atq3wt79u3rwCZURTFheLiYpw5cwZxcXE4efIkLl26BFlZWXTp0gXR0dFCp8ep5ORk9iIaIQT9+/eHt7d3rahxefz4cUyePBkxMTHQ09MTOh2JELLuJkAnhcSysbH5bpvBgoICXLx4kdcPykJcUVdWVsahQ4e+++EkLi4Offr0wdu3b3nJw8nJCT179sT48eMxePBgpKamYtu2bZCVlcWoUaOgqKiI06dP8xIbAOTl5REbGwsrKyvcunULrVu3xtWrV2FkZITY2Fi4ublVWFLIhR/ZZsL11pKkpCSYmZlBSUkJSUlJ3z2ezzeiz58/4/Dhw9i2bRtiYmJQUlICY2Nj+Pj4YNy4cbzFBb5dE0LSE2K1kaT3x9vZ2aFz5874+++/K43NnTsXZ86cwcmTJzmPO2DAANSpUwdhYWEAgNWrV2PixIkAvvzdHTlyBM7OzpzHFRIhpEIb4bNnz+Ljx4+8tRGuzt69e4ekpCRs376drT/B5evKnDlz8Pfff0NdXR3dunVji1s/fPgQJ06cQF5eHmbNmoXAwEDOYlY3QlxcoShK8jIyMnDy5Ens378fcXFxNfK5XbZrxN3dHYMGDapwQUkcri9eFhcXY/Hixdi9ezceP35cqRYdwzAoKSnhNGYZV1dXXLlyBbm5uWjbtq3YxhyRkZGcxfuR3RLl8bFzQsi6mwAgfn9QLZeYmFjlWElJCTZt2oSgoCAwDIPBgwfzloe1tTWsra2xdu1a9oq6lZUVr1fUS0pKICMj893jZGRkUFxczGns8nx8fHDv3j0AwPz582FlZQVra2sQQqCmpoZjx47xFhv4Uqzy1atXAL68UKirq8PIyAjAlxeiT58+cR5TiFoif/31lyBFUctLT09HaGgowsPDkZOTAxUVFYwYMQI+Pj4wMzOTSA7btm2TSByqslu3bmH79u3Yt28fCCFsHS8+Xbt2DX/99ZfYsQ4dOiAkJISXuBcuXMDixYvZ71evXo2hQ4di7dq18PHxwdKlS2vcpBDDMDA3N4e5uTlmzJiBoqIiJCcnY/ny5YiMjMThw4dr7KTQ+/fvcerUKXYr2eXLlwEAJiYmmDhxIueT7IGBgWjTpg2CgoKwZ8+eCmNGRkbYsGEDu/q1puKrGw1FUcLKyclBXFwcYmNjERsbiydPnoAQglatWmHcuHE1tibk27dvsWXLFmzZsqXKY/i6eOnv748VK1agR48e+P333yVa8PnatWuQkpKClpYWMjMzkZmZWWH8e4s3flb5BSFlv89v4WMC0sDAAA8ePEDdunUFqbtJJ4V+QkREBAICApCRkQEHBwcsXrwYbdu25T2uiooKRo0ahVGjRrFX1GfMmIGUlBTOr6jr6Ojg5s2b350BTU9PR/369TmNXV75bR36+vq4e/cu257e0tKyUr0drllYWGDx4sWQkZHBqlWr0K1bN3bswYMHNWYP7+vXr7F06VIsW7aMLYpaNknEZ1HUsq1DoaGhuHjxIgAI1nkM4K91KiWeuP3x48ePl9j++Pfv31dZM00kEvG2NTU7O5tdBv3w4UM8ePAA//zzD1RUVODj4wMPDw9e4lYH32ojXJOcPHmSnQRKS0sDwzBssem5c+fCysrqu1d7/4sBAwZgwIABePnyJZ48eQIA+O2333h9v65OasO2Coqqjcouguvp6cHe3h4ODg6wt7ev0a9tQl+w/PfffzF79mzMmTNH4rEfPXok0XjlLyi8e/cOY8eORfPmzTF48GDUr18fL1++xK5du3Dnzh223izX7t+/z+4SGjduHCZOnCjZupuE+q6EhARiYWFBGIYhZmZmJDY2VpA8bt68SSZPnky0tbWJlJQU8ff35zyGp6cnMTIyIp8+farymE+fPhEjIyPi5eXFaey8vDzSt29fcuTIkSqPOXLkCOnbty/JycnhNPbXLl++TDQ1NQnDMERdXZ3cuHGDHXN2diZDhgzhJW5SUhLp168fadWqFdHX169wMzAw4CXms2fPyM6dO4m3tzcxMDAgDMMQkUhEZGVlSefOncnMmTNJXFwcKSws5CymgoICEYlERE9Pj8yYMYPcv3+fs8emqq+kpCTi4eFB6tSpQxQVFYmHhwdJTEyUeB4tW7Yk06ZNEzs2bdo00rx5c17iamhosK9v27dvJ8rKyqS0tJQQ8uV9RkFBgZe4Qho7dixp3rw5EYlEpF69esTd3Z1s2rSJPHz4UOjUeMEwDFFWViYTJ04kx48fJwUFBUKnRNVwtra25NatW2LH7ty5Q2xtbSWcEUVxb926deTOnTtCp1GrKCkpkfj4eKHTkLjRo0eTYcOGiR0bOnQoGTlyJO855Ofnk/Xr17PzDy1atCDBwcHk5cuXvMWkNYW+4fr165g2bRqOHz8OfX19zJs3DwMHDpRoDpKuOH/t2jW0b98e3bp1w6ZNmyrFyMzMhK+vL2JjY5GWlsZuqeJCdel8VubDhw+4ffs2mjRpUuHKblRUFJo2bYpmzZpxGu/06dOwtbWFjY0N4uLi0L17d7x79w7nzp2DgYEBOnfuLJGrBpIoitq3b1/4+PigR48eghWbDQoKwogRI6Crq4ugoKBvHsswDGbNmiWhzGouoffHlwkKCsL8+fOxYcMGtoA98KVd96hRo+Dv78/LlTFbW1vIy8sjODgYvr6+0NbWZvfE79ixA3PnzsWDBw84jyuk2tZG2MTEBDdu3ICMjAzMzc1hY2MDa2trWFpa8rbykqooPDycrYFRWFhYYYxhGGRkZAiUGT/KN4z42sWLF2FhYVHjaq1QFMW/nj17wsHBgfPOxz/q48ePCAsLQ2JiInJychASEoKmTZsiMjISRkZGMDAw4CVuvXr1EB4eDicnp0pjMTExGDZsGLKzs3mJLY7E6m7yNt30C3vy5Anx8PAg0tLSREtLi6xevfqbK2f4IOQV9U2bNhFpaWkiKytLOnXqRAYPHkwGDx5MOnXqRGRlZYm0tDTZvHkz53FNTU3JokWLvntccHAwMTMz4zy+0Ozs7Iivry8pKSkhDMOQixcvEkIIuXr1KtHR0SGHDx+WaD5v374lR44cIf379ycikYiIRCKJxucbwzDk/Pnz7NffutW0n10o5X+f37rx/Tv/+PEjsbW1JQzDEEVFRdKkSROiqKhIRCIRsbOzIx8/fuQlblxcHLtKTl5enpw+fZodc3NzI/369eMlrpCWLl1KevToQZSUlIiUlBRp37498ff3J/Hx8bz9noWWl5dHDh48SCZMmECMjY3ZlZedOnUi06dPJzExMeTdu3dCp1kjLVq0iDAMQ1q3bk0GDRpEPD09K91qmvLvZV87cuQIUVJSknBGFMWPV69ekenTp5OOHTuSpk2bsqv4N2zYQC5duiRwdjXP/fv3SevWrcn+/fsl/n6dnZ1N2rRpQxiGITo6OkQkErGfizw9Pcno0aN5i62oqEh27NghdiwsLIwoKiryFvtrktglVIauFBJDQUEBnz59Qvfu3TF16tTvFt/l42q20FfUz507hwULFiAhIYFdHaKoqAh7e3v4+/ujY8eOnMYDqk/nszKEEKSmpoq92giA8/of2traCAsLg5OTE6SlpXH+/HmYm5sDANavX4/Q0FCkpqZyGrO8bxVFLSt67urqylt8qubbvn37Tx3PZ62nz58/Y/fu3YiJiUF2djbq1auHHj16YNCgQZCSkuIt7uPHj3Hx4kW0bdu2wlWujRs3om3btujQoQNvsYVUm9oIfy0vLw+JiYns7ebNmxCJRDA1NUVKSorQ6dUohoaGcHZ2xpo1a4ROhVeRkZHsKsOwsDD07NkT9erVq3BMYWEhEhMT0bRp05/urENR1c3Dhw9haWmJt2/fwsTEBOfPn0dqaipMTU3x559/4sOHD4LX4KkJlJWVKxRZ/vTpE4qLi8EwTKXVrgzDID8/n5c8vL29cfLkSURGRsLY2BiysrJIS0uDqakpduzYgcWLFyM9PZ2X2N27d8fNmzdx7NgxtGnThr3/+vXrcHZ2RuvWrRETE8NLbEDyu4TK0EkhMb7Vnro8wmOr6rIcvlf9nM8cAKC0tBQ5OTkAAE1NTV63+igoKOD48ePfLXKdnJwMJycnsRM1XLl79y5cXV1x7949iHuK8PE7V1ZWxrFjx9ClSxcoKCjgwIED6NGjB4AvBdBcXFzw/v17TmNWVRS1bBKI76KoFEXVLrWhjXBVXr58iYSEBOzbtw+HDh0CwE8Hk9qsTp06OHLkCOzs7IROhVcLFy7EggULAHzZ6i4vL1/p/ExOTg5GRkZYtWoVjI2NhUiTojgzYMAApKenIzY2FlpaWhUmCf755x/MmTMHd+/eFTrNX56np+dPdfbiayJOS0sLixcvhpeXFz5//gwZGRn23zs+Ph59+vThbULqzp076Nq1K3Jzc9G6dWu20HR6ejo0NDSQnJzMS6fc5ORkbN26Ffv37wchBP3794e3t7fEGijQ7mNiVIeZ5uqQA/BlckpLS0sisapL5zMA+PPPP1FUVIS9e/fC2NhYIm0Yf/vtN2RlZQEAWrVqhaioKHZSKCkpCRoaGpzHdHJygpKSEnx8fBAYGIjOnTtLtP2hkH7mQwPDMIiLi+MxG6q2yc7OFjux/dtvvwmQDX9qaxthAMjKyqqwQqjsA4tIJEL79u1ha2srcIY1j5mZGTIyMmr8pJC/vz/8/f0BfPl7SkhIEFtTiKJqiri4OKxfvx66urqVJtN1dHQqtSyn/jdhYWFCpwDgS5fiRo0aiR0rLi5GSUkJb7GbN2+O69evY/ny5UhMTMSDBw+goaGBKVOmYOLEiWwnPK7Z2NhARUUFQ4YMqbBL6NKlS2KP53qXEJ0UEqM6tKeuDjlImrW1NUJCQuDj4wMZGRmxxxQXF2P9+vW8n0xfuHABmzdvRv/+/XmNU56NjQ0SExPRv39/+Pr6YsyYMbh16xbk5ORw4sQJ/PXXX5zHNDIywo0bN7B+/XqkpaXVqqKoiYmJUFFRQcOGDYVOhRJAcnIyVq9ejVu3bkm0GO28efOwevVq5Obmih2vaStHalsb4YiICCQkJCAxMRF37twBIQQikQgmJiaYNGkSbG1t0bVr1+9uS+fCq1evqtz+/L2LL7+q5cuXY+jQoTA1NYWZmZnQ6UhEaWmp0ClQFO+Kioqgrq4uduz9+/eCNS2pyco3ZPnaixcvsHnzZt6a/ujr6+PcuXNiJ/gvXLjAy0qd8rS0tLBo0SJeY4jz9u1bbNmyBVu2bKnyGL52CdFJIaramDRpEtq3b48+ffp8s/PZnTt3sGvXLl5zUVJSkvi2qcDAQOTl5QEARo0ahQ8fPmDXrl1gGAYzZ85EQEAA5zGvXr2K169fIykpCYmJiTh8+DAWLFgAaWlpmJmZwdraGjY2NujcuTOUlJQ4jy8kAwMDPHjwAHXr1oW3tzfc3d1rzSqp2u706dOwt7eHjY0Nbt26JbbTHx9CQ0OxaNEiTJ8+HbNnz0ZAQAAIIdi5cycUFBQwbdo0XuIKac2aNXBwcOC8W2N15e7uDoZh0KZNG4wbNw62trawtraGqqqqxHJ48eIFhg0bhoSEhEpjfG85F5qXlxdyc3NhYWGB+vXrV1phyzAMrl69KlB2/MjMzMS7d+/YD0klJSVYvnw5Ll26hG7dusHb21vgDCnqv2vevDliY2Ph6OhYaSw5OblC7ReKG4GBgejevbvYSaHMzEwEBgZyOimUnJwMU1NTKCkpYciQIVi8eDHatGmDnj17Avjy+p2amopVq1bx8pnoa2Xnhbm5uahXrx46dOjA6wUdoXcJ0ZpCVLWyefNmjBkzBiKRCGZmZtDX1wfwpcDcxYsXUVpaivXr12PEiBG85jFz5kw8efIEO3bs4DVOdVSbiqImJSWx+3elpKTg5uYGb29vWFpaCp0axSN7e3sYGhpi/fr1FfapX7t2Dd27d8fGjRvRq1cvzuOamZmhX79+mDZtWoW4hYWF6Nq1K9zc3DBlyhTO41KSs3//ftjY2PCy3fdH9evXD4mJifD3969y+7OkahRImo2NzXfrYYibLPuVubi4oFGjRli3bh0AYO7cuQgKCoKqqiry8/Oxfft2DB06VOAsKeq/CQkJgZ+fHxYvXowhQ4ZAS0sLZ8+exbNnz+Dl5YW1a9fWyl0WfBKJREhJSRG7NTUpKQlOTk4oKiriLJ6UlBTOnTsHCwsLFBcXw9XVFcePH4eamhpev34NTU1N5Obmonv37jhy5Aivq8OWLl2KwMBAfPjwga0tW6dOHQQGBsLPz4+3uEKik0JUtSNE57Ov7dmzBwEBAWjdujV69eol9gS/b9++vOchpNpUFPXt27fYvXs3tm3bhtTUVDRv3hze3t7w8PDgbe8wJRyhOv3VrVsXBw8ehK2tLaSkpHD27Fn29WzPnj2YNWsW7t27x3lcoWVnZ7N783Nzc3Hw4EG0bt0aGzduhIWFBdq1ayd0ijWKpqYmlixZAi8vL6FToSRAT08Pq1atYre76+npYeDAgVi2bBlGjx6NK1eu4Ny5cwJnSVH/3ciRI7FlyxaIRCKUlpZCJBKBEAJfX19s2LBB6PRqhGvXruHKlSsAvhSdnj17doVOqcCXzoa7du1Cbm4upx3Avp6EIoRg7969iIqKQlZWFjQ1NeHi4oKBAwfyOiG0Y8cOeHp6okePHmzHr8zMTGzfvh3R0dEICwvDsGHDeIsvFLp9jKp2OnXqhCNHjki089nXBg8eDODLCqWjR49WGudq+X1QUNAPH8swDGbNmvWfY1alNhdFVVFRwahRozBq1CjcuHEDGzZswIwZM5CSkoL9+/cLnR7FsQ8fPkBJSQkikQhycnLs6wwAtGjRAjdv3uQlrrT0l7dchmGgoqKCZ8+esWOampp4/vw5L3GF9HUb4YyMDHz8+BHAl5PPlJQUwZdM1zQMw9BaabVIbm4uW6Pr1q1bePHiBTw9PQF8WTW2d+9eAbOjKO5s2rQJ3t7elSYJ6Opu7hw8eBCBgYEAvryXVPU5RUFBgff3boZhMHDgQAwcOJDXOF9bsWIFBg8ejPDw8Ar3DxgwAEOHDsWKFSvopBBFSZIkO599TVLLy+fOnVvpPoZhIG4BHx+TQtWpKGp1cOvWLWzfvh379u0DIYT3QnaUMITo9AcATZs2xdOnTwEA5ubm2Lx5M3r37g2RSIRNmzahcePGvMQV0tSpU6GmpoaLFy+ybYTLWFlZYc6cOQJmVzMNGDAAR48erdGd3b4lLy8PK1asQFxcHHJzc6GpqQkHBwdMnDgRampqQqfHubp16+LVq1cAvtTkUFdXh5GREYAv5w2fPn0SMj2K4lTHjh0lsmOgtho5ciRcXFxACIGFhQW2bdtWqV6TnJwcDA0NoaCgwHn8723/lYTbt29j4cKFYseGDh2KPn36SDgjyaCTQhQlhqTqLWRnZ1f4vqSkBDo6OoiLi4OxsTHv8atDUVShFRQU4J9//kFoaCjOnz8PQ0NDjB8/nl0yStU8QnT6A4AePXogOTkZw4cPh7+/P5ycnKCqqgppaWkUFBQgNDSUl7hCom2EJaN8y1o3Nzf4+vqitLS0yu3PXLeyrS6eP3+Ozp0748mTJ2jZsiV+++03ZGZm4u+//8aOHTtw5syZGve6bmFhgcWLF0NGRgarVq1Ct27d2LEHDx7UuJ+Xoij+6OjoQEdHB8CXC+SmpqYSvTBsa2v7QztDGIZBfn4+LzkoKCiwjX++lpeXx8tkWHVAawpRVDXy+fPnCgVo+VYdiqIKJTk5mS0yTQhB//794e3tXWMLsFL/JycnB3l5eWxHrOXLl7Od/lxcXBAQEAAZGRlOYrVv3x52dnawsbFBly5dKpxcXbhwAXv27IFIJELPnj1r5BZNRUVFREZGwtHRsdLrW1RUFAYNGoS3b98KneYvTyQSVbjCWnZq9/VV15refWz48OGIiYnB0aNH2TphAJCamopevXqhe/fuCAsLEy5BHly5cgWOjo7Izc2FmpoakpOT0bp1awBAz549oaamVmkbBEX9Cn7m4mhN7CxY24hEIjg7O6NevXo/dDxf29d69+6NW7duITExscKk+suXL2FjY4MWLVqwtVZrEjopRFFVCA8Px+7du/H48WMUFhZWGGMYBhkZGZzHlPSkUG0mEomgoqICd3d3DBo0CCoqKt88nv57UP8LQ0NDPHz4EAzDQEpKCmZmZrCxsYGtrS2srKygqKgodIq8ateuHbp164bFixdXen2bNm0aTp06hbNnzwqd5i9v+/btP3V8Te3So62tjXnz5sHX17fS2KZNmzBr1ix262hN8uHDB9y+fRtNmjSp8F4WFRWFpk2bshPgFPUr+ZFuggUFBbh48WKNnuwWip2d3TfHGYZBXFwcZ/G+1e1MktLT02FpaYni4mLY29tDR0cHL168QHx8PGRkZHD27Fm0atVK0Bz5QLePUZQYixcvhr+/P1q1agUTExOxLX2pX9/bt2+xZcsWbNmypcpjavqVdeqLp0+fIj09Hebm5pyunMvIyMDz58+RkJDA1u9avHgxgoODIS0tDXNzc9ja2sLW1haWlpaQl5fnLHZ14OvrCz8/P+jq6mLIkCEAgE+fPmHfvn0ICQnB2rVrBc6wZqipkzw/Kz8/v8raXPr6+rxtNxCaoqKi2AsXPXv2FCAbiuJGYmJilWMlJSXYtGkTgoKCwDAM2yCG4k5paWmlSbmcnBzcuXMHWlpaNXayuXXr1khNTcWcOXOQkJCA3NxcaGho4Pfff8ecOXNq7M9NVwpRlBiGhoZwdnbGmjVrJBqXrhSSHHplvfaaOXMm3r9/jxUrVgAAYmNj0atXL3z8+BGqqqo4deoUu/2CD8+ePUN8fDwSEhKQlJSER48egWEYyMnJ4cOHD7zFFQptIyxZdnZ2CAkJQYsWLSqN3b17F6NGjUJ8fLwAmfGvZcuWcHJywsqVKyuN+fn5ITo6Grdu3ZJ8YjzLzs7G8uXLkZiYiNzcXBw8eBCtW7fGxo0bYWFhgXbt2gmdIkVxJiIiAgEBAcjIyICDgwMWL16Mtm3bCp1WrXH37l307t0bGzZs4LTkQnVZKVRb0ZVCFCXGy5cvBa0uXx2q79d0dJKn9tq/fz/8/PzY72fOnAljY2MEBARg7ty5mDdvHv755x/e4jdo0AAeHh7o06cPkpKSsH37dhw4cIBt1V7T0DbCkpWYmFhlnaZ3794hKSlJwhlJjpeXF6ZPn47S0lIMHz6cXfYfHh6ONWvWYNGiRUKnyLmHDx/C0tISb9++hYmJCTIyMtjXkmvXriElJYX31tEUJQmJiYmYNm0aUlNTYWpqihMnTsDe3l7otGqdZs2aYcqUKZg6dSrOnz8vdDoUR+ikEEWJYWZmhoyMjO/up/2vqiqi5+7uXmkbCS2iR1HceP78OZo0aQIAyM3NRWpqKo4dOwYnJycUFRXx1n3s/fv3OHXqFLuV7PLlywAAExMTTJw4sUYXOadthKuHFy9e1Og6VlOmTEFGRgbWrl2LdevWsfcTQjBy5EhMnjxZwOz4MXXqVKipqeHixYvQ0tKCrKwsO2ZlZYU5c+YImB1F/XfXr1/HtGnTcPz4cejr62P37t0YOHCg0GnVao0bN8aNGzc4fczS0lJOH++/OH369DfrynJZS6m6oJNCFCXG8uXLMXToUJiamsLMzIy3OOrq6pVWBdXkD4YUVR0QQtiTjzNnzkBKSgpdu3YF8KUda05ODmexTp48yU4CpaWlgWEYmJqawtbWFnPnzoWVldV3i5xT1PdERkYiMjKS/f7vv/+u1MGlsLAQiYmJNXorEcMw2LhxI/z8/CrUgrCzs6uxdSDi4uKwfv166OrqVqp9p6Ojg8zMTIEyo6j/5unTp5g5cyZ2794NdXV1rFy5EqNGjeKsOyj1v9u/f3+Fzlw1ybZt2+Dj4wN1dXU0a9asUl3Zmlp5h04KUZQYXl5eyM3NhYWFBerXr1+p8CxXq3a+VUSPoih+GBoa4ujRo7C3t8eePXtgYWEBBQUFAF9WUqipqXEWy8nJCUpKSvDx8UFgYCA6d+6MOnXqcPb41RFtIyx5N2/eREREBIAvv9P4+HiIRKIKx8jJycHIyAirVq0SIkXevH79GiNGjICXlxdcXFwAAM2bN0fz5s3ZY44ePQp/f39s2rSJ00Ly1UFRURHU1dXFjr1//77S3wFF/SqaNWuGT58+oXv37pg6dSqUlZVx/fr1Ko+ntTi55e3tXem+jx8/4tq1a7h58yaCg4MFyIp/wcHBcHNzw/bt22tVoyFaaJqixPiRNpgJCQkSyoaiKC6tX78ef/75J9TU1PDmzRuEhoayNaYmTJiA9PR0xMbGchLLxMQEN27cgIyMDMzNzWFjYwNra2tYWlrW2G08tI2wsGpbsc4lS5Zg48aNuH37NqSlxV/rLCkpQatWrTB06FDMnj1bwhnyq127dujWrRsWL15cqVnFtGnTcOrUKZw9e1boNCnqp5Wf0PzWewrtEsuPxo0bV/q9y8vLo3Hjxhg2bFiN7fimqKiIw4cPw8HBQehUJIquFKIoMegKHoqquUaPHg01NTWcPXsWFhYWGDp0KDtWWFgIT09PzmJdvXoVr1+/RlJSEhITE3H48GEsWLAA0tLSMDMzg7W1NWxsbNC5c2coKSlxFldItI2wcIqKijBt2jRISUkJnYrE7NmzB76+vlVOCAGAtLQ0fH19sXfv3ho3KeTr6ws/Pz/o6upiyJAhAIBPnz5h3759CAkJwdq1awXOkKL+N7RAurAePXokdAqCaNmyJbKysoROQ+LoSiGKoiiKkqC8vDwkJiayt5s3b0IkEsHU1BQpKSlCp8cb2kZYMhQVFRETE8PWyarplJWVcejQoe92IYqLi0OfPn2q7Mz2Kxs5ciS2bNkCkUiE0tJSiEQiEELg6+uLDRs2CJ0eRVHUL+P48eOYPHkyYmJioKenJ3Q6EkNXClFUFbKzs7F8+XIkJiYiJycHhw4dQuvWrbFx40ZYWFjU6GKdFFWTFRUV4dOnTxUKPP/777+4dOkSHB0deW9xq66ujr59+8LS0hKdOnXCvn37cOjQIaSmpvIaVyi0jbBktWjRAg8fPqw1k0IlJSU/VHhWRkYGxcXFEshI8jZt2gRvb28cPXoUr169gqamJlxcXGBpaSl0ahRF/cLy8vKwYsUKxMXFITc3F5qamnBwcMDEiRM5rb8oNFdX1wrf5+fno1mzZmjbtq3YurLlGzvUFHRSiKLEePjwITp37oz8/HyYmJjgwYMH+PjxIwDg2rVrSElJoctaKeoXNWzYMNSpUwdhYWEAgNWrV2PixIkAvtQnOXLkCJydnTmPm5WVVWGF0N27dwF8qZvQvn172Nrach5TSLSNsDBmzZqFqVOnwsrKCoaGhkKnwzsdHR3cvHnzu5Ng6enpqF+/voSy4lf79u1hZ2cHGxsbdOnSBcrKyujYsSM6duwodGoURdUQz58/R+fOnfHkyRO0bNkSv/32GzIzM/H3339jx44dOHPmTI3pQHbt2rUK9ZOkpKSgpaWFzMzMSh0cv1cz8VdFt49RlBgDBgxgi81qaWlBVlaWLdz4zz//YM6cOewHOoqifi2NGjXC4sWL2QmKJk2awNLSEmvXroWPjw9yc3MRHx/PSayIiAgkJCQgMTERd+7cASEEIpEIJiYmsLW1ha2tLbp27QplZWVO4lUHX7cRnjlzJm0jLEGurq64ePEisrOzYWxsDB0dnQonsTXtKqeXlxcuXryIixcvVvk3VlxcDDMzM7Rv3x6hoaESzpB7hoaGePjwIRiGgZSUFExNTWFnZwdbW1t07ty5xhaxpyhKcoYPH46YmBgcPXoU5ubm7P2pqano1asXunfvzl5co359dFKIosRQV1fH+vXr4e7uXqmbR2JiIlxcXFBQUMBpzClTpsDR0RFdunRh22NTFMU9RUVFHD9+HF26dMHDhw9haGiI8+fPw9zcHDExMfDw8MCrV684iSUSicAwDNq0acNOAllbW0NVVZWTx6+OFBQUKrUR/hbaRphb4jrGlMcwDB48eCDBjPh17do1tG/fHt26dcOmTZsqXbnOzMyEr68vYmNjkZaWBiMjI4Ey5dbz58+RkJDATjqXTRJJS0vD3Nycfb2xtLSEvLy80OlSFPWL0dbWxrx58+Dr61tpbNOmTZg1a1atLMhc1u2upqHbxyhKjKKiIqirq4sde//+fYU2mVzZsmULli9fDhkZGXTq1AkODg5wcHCAubk5L/EoqrZSVFREfn4+AODUqVNQUlJC+/btAXxpt8rlhG9ERARsbGwq7Umvycq22kZHRyMmJqbK42gbYX7Uto4xxsbGWLduHcaMGQN9fX2YmZlBX18fwJet4BcvXkRpaSnWr19fYyaEAEBPTw9Dhw5luyc+e/YM8fHxSEhIQFJSEubPn48FCxZATk4OHz58EDhbiqJ+Nfn5+WjcuLHYMX19ffY8qjbZtWsX/v77b9y+fVvoVDhHJ4UoSozmzZsjNjYWjo6OlcaSk5PRpk0bzmPm5eUhLS0NJ0+eRFxcHObNm4dZs2ahbt26sLGxgaOjI8aMGcN5XIqqbYyMjLBu3To0atQIISEhsLW1Za/6PHnyhNO6I/369ePssX4VtN4aJWm+vr5o06YNFixYgISEBLaLn6KiIrp37w5/f/8aX2+nQYMG8PDwQJ8+fZCUlITt27fjwIED7CQtRVHUz9DX10dUVJTYz0LR0dHs5HtNkZ+fj0OHDiErKwvNmjWDq6sre1H+wIEDmD17Nm7evIlGjRoJnCk/6PYxihIjJCQEkyZNQnBwMIYMGQItLS2cPXsWz549g5eXF9auXYvhw4fzmkNRURGSk5OxfPlynDhxgl5RpyiOxMfHw8XFBR8/foSsrCxiY2PRuXNnAGC3jO7bt0/gLCnqf1dcXIwdO3ZU6hgzdOjQGl/bqbS0FDk5OQAATU3NGr/S9v379zh16hS7lezy5csAABMTE1hbW8Pa2rpSZx2KoqjvCQ4OxvTp0zF27FgMHz4cOjo6ePHiBcLDw7FmzRosWrQIkydPFjpNTty/fx9dunTBq1ev2FXM1tbWOHToEAYNGoSYmBioqqrC398f48aNg5ycnNApc45OClFUFUaOHIktW7ZAJBKhtLQUIpEIhBD4+vpiw4YNvMV99uwZTp48idjYWMTFxeHVq1fQ19eHg4MDNm7cyFtciqpNHj9+jIsXL6Jt27YwMDBg79+4cSPatm2LDh06CJgdRf3v8vPzYW9vj0uXLqFOnTqoX78+Xr58iffv38PMzAxxcXFQUVEROk3qPzh58iQ7CZSWlgaGYWBqaspOAllZWdF/Y4qi/hNCCEaNGoXNmzdXqKFDCMHIkSN5/SwkaYMGDcLhw4cxffp0tG/fHg8ePMD8+fOhrq6OmzdvYsSIEQgODq7R9SDppBBFlVNYWIhDhw7h8ePHqFevHpo2bYqTJ08iKysLmpqacHFxgaWlJS+xx40bh5MnT+LevXvQ0NCAnZ0d7O3t4ejoWOWeXoqiKIoqb+zYsdi+fTtCQ0MxYMAA9v59+/bB29sbw4cPx5o1awTMkPqvRCIRlJSU4OPjgx49eqBz586oU6eO0GlRFFUD3blzBwkJCcjNzWU/nzRr1kzotDilq6uLcePGwd/fn73v+PHj6NGjB0aNGoWQkBABs5MMOilEUf9fZmYmunbtiocPH7JLB1VUVHDs2DF06tSJ9/gikQiKiooYP348/Pz8oKmpyXtMiqrtsrOzUVhYWOn+3377TYBsKOq/a9CgAf766y9MmjSp0tjy5cuxfPlyPHv2TIDMKK6YmJjgxo0bkJGRgbm5OWxsbGBtbQ1LS0vajp6iKOonycjIIC4uDl27dmXve//+PZSVlZGQkABra2sBs5OMmr3RmqJ+wsyZM/H8+XPMnDkTUVFRWLFiBWRlZSVW3HnJkiXo2rUr1qxZg/r168Pc3BwzZsxAQkICPn36JJEcKKq2mDdvHrS0tFC/fn3o6+tXulHUryo7OxvGxsZix0xMTNh6O9Sv6+rVq8jJycGePXtgZmaGw4cPw8nJCWpqarC0tIS/vz+OHz/OaSdFiqJqr7y8PEyfPh0uLi74448/kJ6eLnRKnPr8+TPk5eUr3Ff2vbKyshApSRxdKURR/1/Dhg0xcuRIzJo1i70vKioKrq6uyMzMhLa2tkTyKC4uxpkzZxAXF4eTJ0/i0qVLkJWVRZcuXRAdHS2RHCiqJgsNDcX48eMxffp0zJ49GwEBASCEYOfOnVBQUMC0adPg5eUldJoU9T8xMDDA8OHDMWfOnEpjQUFBCAsLw4MHDwTIjOJTXl4eEhMT2dvNmzchEolgamrKdmOjKIr6lsmTJ+Pff//FkydP2Pvev38PIyMjPH78GGXTBsrKyrhw4QKaN28uVKqcEolE2L59O1q3bs3e9/nzZ3To0AHh4eFo0aJFheNNTU0lnSLv6KQQRf1/MjIyiI2NrbBEsGzp4JUrV6q88sqXjIwMnDx5Evv370dcXBztPkZRHDEzM0O/fv0wbdo0yMjIIC0tDaampigsLETXrl3h5uaGKVOmCJ0mRf1P/P39sXz5cixcuBDDhw+HhoYGcnNzER4ejmnTpsHPzw8LFiwQOk2KJy9fvkRCQgL27duHQ4cOAQA9d6Ao6odYWlrCysoKwcHB7H2LFy+Gv78/Jk2ahDlz5uDmzZvo168funXrhm3btgmYLXdEIlGFYtplysqJfP19TXxNlRY6AYqqLj5//gwFBYUK95UtHSwpKeE9fk5ODuLi4hAbG4vY2Fg8efIEhBC0atUK48aNg4ODA+85UFRtcP/+fXTs2JFtVV22PVNBQQF//fUXZs2aRSeFqF/W3LlzcfnyZUyePBlTpkyBtLQ0SkpKQAiBk5MT5s6dK3SKFIeysrIqrBC6e/cugC8fctq3bw9bW1uBM6Qo6lfx4MEDTJw4scJ9R44cQb169RAcHAwpKSl07NgRfn5+WLt2rTBJ8qCmTG79F3RSiKLKuXPnDqSl/+9pUTYTfPv27UrHcr10sGx7mp6eHuzt7eHg4AB7e3vUr1+f0zgUVduVPcfLismXL7qrqamJ58+fC5UaRf1ncnJyiImJwfHjxyt0jCnrZkn9+iIiIpCQkIDExETcuXMHhBCIRCKYmJhg0qRJsLW1RdeuXWtNLQyKorjx5s0b6OjosN+XlJQgNTUVv//+O6SkpNj727VrhxcvXgiRIi+GDx8udAqCo5NCFFWOp6en2PuHDRvGfs3X0sE1a9bAwcGhxrV5pKjqpmnTpnj69CkAwNzcHJs3b0bv3r0hEomwadMmNG7cWNgEKYoDTk5OcHJyEjoNigfu7u5gGAZt2rTBuHHjYGtrC2tra6iqqgqdGkVRvzBtbe0Kkz2XLl1CcXEx2rdvX+E4kUgEOTk5SadH8YhOClHU/yf00kFJdTmjqNrO2dkZycnJGD58OPz9/eHk5ARVVVVIS0ujoKAAoaGhQqdIURRVpYiICNjY2EBDQ0PoVCiKqkHMzMywefNmDBgwAAzDYNeuXWAYBvb29hWOu337doUVRdSvjxaapqhqJDs7G8uXL0diYiJyc3Nx8OBBtG7dGhs3boSFhQXatWsndIoUVeNcuHABe/bsgUgkQs+ePWkNDuqX8zONEBiGwdWrV3nMhqIoivoVnT9/Hp07d4aBgQE0NTWRkpKCLl26ICkpqcJxPXv2hLq6Onbu3ClQphTX6EohiqomHj58CEtLS7x9+xYmJibIyMjAx48fAQDXrl1DSkqK4KuZKKomsrCwgIWFhdBpUNT/TF1dXWznlPIKCgpw8eLF7x5HURRF1U4dOnRAZGQklixZgtzcXIwYMQKLFi2qcMzLly/x7NkzeHl5CZQlxQc6KURR1cTUqVOhpqaGixcvQktLC7KysuyYlZUV5syZI2B2FPVrs7Oz++FjGYZBXFwcj9lQFLcSExOrHCspKcGmTZsQFBQEhmEwePBgySVGURRF/VJ69uyJnj17Vjlev359utq0BqKTQhRVTcTFxWH9+vXQ1dWtVMRaR0cHmZmZAmVGUb++xMREqKiooGHDhkKnQlESExERgYCAAGRkZMDBwQGLFy9G27ZthU6LoiiKoqhqhE4KUVQ1UVRUBHV1dbFj79+/h0gkknBGFFVzGBgY4MGDB6hbty68vb3h7u6OOnXqCJ0WRfEiMTER06ZNQ2pqKkxNTXHixIlKhUIpiqIoiqIAgH7KpKhqonnz5oiNjRU7lpycjDZt2kg4I4qqOe7fv4+EhAQYGBhg3Lhx0NHRwYgRI3D27FmhU6Mozly/fh3Ozs6wt7dHbm4udu/ejbS0NDohRFEURVFUleikEEVVE76+vli1ahVWrVqF169fAwA+ffqEffv2ISQkBH/88YfAGVLUr83a2ho7duzAixcvEBwcjOvXr8PKygotW7bEkiVLkJWVJXSKFPU/efr0KYYPHw5TU1NcvHgRK1euxK1btzBw4EChU6MoiqIoqpqjLekpqhoZOXIktmzZApFIhNLSUohEIhBC4Ovriw0bNgidHkXVODdu3MCGDRuwceNGuLq6Yv/+/UKnRFE/TUFBAZ8+fUL37t0xdepUKCsrf/N4U1NTCWVGURRFUVR1RyeFKKqaSUlJQVRUFLKysqCpqQkXFxdYWloKnRZF1Ti3bt1CaGgodu7ciZycHEydOhULFiwQOi2K+mnla859q+U8IQQMw1RqZkBRFEVRVO1FJ4UoiqKoWqOgoAD//PMPQkNDcf78eRgaGsLLywuenp7Q1dUVOj2K+p9s3779p44fPnw4T5lQFEVRFPWroZNCFEVRVI2XnJyMrVu3Yv/+/SCEoH///vD29oa1tbXQqVEURVEURVGUYOikEEUJyNjY+IePZRgGV69e5TEbiqq5RCIRVFRU4O7ujkGDBkFFReWbx9OaKxRFURRFUVRtQCeFKEpANjY236z/AHzZ7nLx4kVaB4Ki/oOymivfe77RmisURVEURVFUbSItdAIUVZslJiZWOVZSUoJNmzYhKCgIDMNg8ODBkkuMomqYbdu2CZ0CRVEURVEURVU7dKUQRVVDERERCAgIQEZGBhwcHLB48WK0bdtW6LQoiqIoiqIoiqKoGkT0/UMoipKUxMREdOjQAe7u7lBRUcGJEydw/PhxOiFEURRFURRFURRFcY5OClFUNXD9+nU4OzvD3t4eubm52L17N9LS0mBvby90ahRFURRFURRFUVQNRSeFKEpAT58+xfDhw2FqaoqLFy9i5cqVuHXrFgYOHCh0ahRFURRFURRFUVQNR2sKUZSAFBQU8OnTJ3Tv3h1Tp06FsrLyN4+nbbIpiqIoiqIoiqIortBJIYoSUFmbbODbrbJpm2yKoiiKoiiKoiiKa7QlPUUJiLbJpiiKoiiKoiiKooRCVwpRFEVRFEVRFEVRFEXVQrTQNEVRFEVRFEVRFEVRVC1EJ4UoiqIoiqIoiqIoiqJqITopRFEURVEURVEURVEUVQvRSSGKoiiKoiiKoiiKoqhaiE4KURRFURRFURRFURRF1UJ0UoiiKIqiKIqiKIqiKKoWopNCFEVRFEVRAD58+IAFCxbA1NQUSkpKkJeXR4MGDdClSxf4+/sjIyODPbZx48Zo3LgxJ3HDwsLAMAzCwsI4eTyKoiiKoqgfJS10AhRFURRFUUJ79+4drKyscO3aNTRp0gRDhw6Fqqoqnj59ivT0dCxatAiGhoYwNDQUOlWKoiiKoijO0EkhiqIoiqJqvZUrV+LatWvw8fHB5s2bwTBMhfGHDx/i48ePAmVHURRFURTFD7p9jKIoiqKoWu/cuXMAgLFjx1aaEAIAfX19tGjRAo8ePQLDMHj8+DEeP34MhmHY29y5cwEAnz59wpo1a+Dk5ISGDRtCTk4OWlpa6Nu3Ly5fvlzhcT09PeHl5QUA8PLyqvB45b179w5z5sxB69atoaCgAFVVVXTv3h2nT5/m4bdBURRFUVRtQVcKURRFURRV66mrqwMA7t+/j7Zt21Z5nKqqKubMmYOVK1cCACZOnMiO2djYAADy8vIwceJEdOnSBc7OzlBTU8ODBw9w+PBhREdHIzk5Gebm5gCA33//HW/evEFkZCR69+4tNnZeXh66du2K9PR0dOnSBU5OTsjPz0dkZCRsbW0RERGB33//nYPfAkVRFEVRtQ1DCCFCJ0FRFEVRFCWkyMhI/P7771BRUcHo0aPRrVs3tGvXDmpqamKPLysy/ejRo0pjHz9+RE5ODvT09Crcn56ejo4dO6Jjx444efIke39YWBi8vLywbds2eHp6Vnq8IUOGYPfu3QgNDWVXFQFAVlYWzM3NUVRUhCdPnkBeXv7nf3CKoiiKomo1un2MoiiKoqhar3fv3ggODkZpaSkWL14Me3t7qKuro0mTJhg7dizu3bv3w48lJydXaUIIAFq3bg1bW1skJyejuLj4hx4rJycHe/fuhb29fYUJIQDQ1tbGlClTkJ2djdjY2B/Oj6IoiqIoqgzdPkZRFEVRFAVgypQpGDVqFGJiYnD27FmkpaXh/PnzWLduHbZu3Yq9e/fC1dX1hx7rypUrCA4OxunTp/Hy5ctKk0A5OTnQ0dH57uOkpqbi8+fPKCoqYmsWlVc2WXX79m24uLj8UG4URVEURVFl6KQQRVEURVHU/6esrIwBAwZgwIABAID8/HzMmDEDISEh8PHxwfPnzyErK/vNxzh79izs7OwAAN26dUPTpk2hpKQEhmFw6NAhXL169Yc7meXl5QEAzpw5gzNnzlR53Pv373/o8SiKoiiKosqjk0IURVEURVFVqFu3LtauXYuoqCg8fvwY169fh5mZ2Tf/n/nz5+Pjx484ffo0OnfuXGEsJSUFV69e/eH4KioqAIC//voLS5cu/fkfgKIoiqIo6htoTSGKoiiKoqhvYBgGioqKFe6TkpLC58+fxR6fkZEBdXX1ShNCHz58wKVLlyodLyUlBQBiH8/c3BwMw+DcuXP/a/oURVEURVFVopNCFEVRFEXVehs3bkRqAP+aDgAAApxJREFUaqrYsQMHDuD27dtQVVVFmzZtAHxpYZ+Tk4OioqJKxzdq1AivX79Geno6e9/nz58xefJkZGdnVzpeXV0dAPDs2bNKY/Xr14ebmxvOnj2LJUuWQFzT2PPnz+PDhw8/9oNSFEVRFEWVQ1vSUxRFURRV6/3++++IjIxEkyZN0LlzZ+jq6qKgoABXrlzBqVOnIBKJEB4ejkGDBgEApk2bhuDgYDg4OKBLly6QlZWFlZUVrKyscPToUfTq1Quqqqpwc3ODvLw8EhMT8fz5cxgZGSExMREPHz5k29rn5eWhQYMGkJOTg7e3N+rVqwcAmD59Ojtub2+PK1euwMjICJ06dULdunXx9OlTXLx4Effu3cOLFy9Qv359QX53FEVRFEX9uuikEEVRFEVRtd6dO3dw+PBhnDx5Evfv38eLFy8AAHp6erCyssK4ceMq1BIqKCiAn58fjh49iqysLJSWlmLOnDlsh7D9+/djwYIFuH37NhQVFWFnZ4eFCxciKCgI27dvrzApBADHjh3D3LlzcePGDRQWFgJAhVVBhYWFWLt2Lfbu3Yvbt2+jtLQU9evXh4mJCfr27YtBgwZBWpqWiqQoiqIo6ufQSSGKoiiKoiiKoiiKoqhaiNYUoiiKoiiKoiiKoiiKqoXopBBFURRFURRFURRFUVQtRCeFKIqiKIqiKIqiKIqiaiE6KURRFEVRFEVRFEVRFFUL0UkhiqIoiqIoiqIoiqKoWohOClEURVEURVEURVEURdVCdFKIoiiKoiiKoiiKoiiqFqKTQhRFURRFURRFURRFUbUQnRSiKIqiKIqiKIqiKIqqheikEEVRFEVRFEVRFEVRVC1EJ4UoiqIoiqIoiqIoiqJqITopRFEURVEURVEURVEUVQv9P4EDBGP/3b/lAAAAAElFTkSuQmCC\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# set figure size & grab population per state data\n",
"plt.rcParams[\"figure.figsize\"] = [16,8]\n",
"resort_count = state_summary_newind.resorts_per_state.sort_values(ascending=False).reset_index()\n",
"\n",
"# set total plot area\n",
"plt.rcParams[\"figure.figsize\"] = (14,7)\n",
"\n",
"sns.barplot(x='state', y='resorts_per_state', color='#00703c', data=resort_count)\n",
"plt.title('Resort Count by U.S. State', fontsize=15)\n",
"plt.xticks(rotation=90, fontsize=12)\n",
"plt.xlabel('State', fontsize=14)\n",
"plt.ylabel('Count', fontsize=14);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"New York comes out on top in our state-by-state resort count. Recall we saw shades of this during our data wrangling phase. This could be a function of its proximity to wealthy New Yorkers interested in skiing close to home. Then again, it could simply mean that Northern states are better locations for ski resorts. When is the last time you heard anyone mention going on their dream snow-skiing vacation in Alabama?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 3.5.1.4 Total skiable area"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In light of the data considered above, it's impossible to infer how much skiable area is contained in each state. New York must contain a large amount of skiable terrain, as it is home to more than 30 resorts. Still, the only conclusion we can draw from this limited amount of information is that competition in the state of New York for skiers is robust.Below, we look at skiable acreage by state across the entire data set unlike the chart above, which focused on the top 20 states alone. "
]
},
{
"cell_type": "code",
"execution_count": 231,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# set figure size & grab population per state data\n",
"plt.rcParams[\"figure.figsize\"] = [16,8]\n",
"ski_area = state_summary_newind.state_total_skiable_area_ac.sort_values(ascending=False).reset_index()\n",
"\n",
"# set total plot area\n",
"plt.rcParams[\"figure.figsize\"] = (14,7)\n",
"\n",
"# data and styling for bar plot\n",
"sns.barplot(x='state', y='state_total_skiable_area_ac', color='#00d2ff', data=ski_area)\n",
"plt.title('U.S. State by Total Skiable Area in Acres', fontsize=15)\n",
"plt.xticks(rotation=90, fontsize=12)\n",
"plt.xlabel('State', fontsize=14)\n",
"plt.ylabel('Acreage', fontsize=14);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"New York may have the most resorts, but it does not maintain the most skiable acreage. In fact, New York isn't even one of our top five states. As expected, Colorado is a skier’s paradise and comes in first, while Montana is ranked fourth. This is far from a bad showing."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 3.5.1.5 Total night skiing area"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Honestly, we did not know night skiing existed. It sounds about as safe as night surfing in the Pacific, but we digress. The plot below shows us the amount of acreage available for the intrepid night skier. "
]
},
{
"cell_type": "code",
"execution_count": 232,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# set figure size & grab population per state data\n",
"plt.rcParams[\"figure.figsize\"] = [16,8]\n",
"nights = state_summary_newind.state_total_nightskiing_ac.sort_values(ascending=False).reset_index()\n",
"\n",
"# set total plot area\n",
"plt.rcParams[\"figure.figsize\"] = (14,7)\n",
"\n",
"# data and styling for bar plot\n",
"sns.barplot(x='state', y='state_total_nightskiing_ac', color='#483475', data=nights)\n",
"plt.title('U.S. State by Total Night-Skiable Area in Acres', fontsize=15)\n",
"plt.xticks(rotation=90, fontsize=12)\n",
"plt.xlabel('State', fontsize=14)\n",
"plt.ylabel('Acreage', fontsize=14);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"New York dominates the area of skiing available at night. With one mid-Atlantic exception, the top 5 are Northern states. Is night skiing in and of itself an appeal to customers, or is it a consequence of simply trying to extend the skiing day where days are shorter? Is New York's domination here because it's trying to maximize its appeal to local visitors? \n",
"\n",
"Clearly, our data generates more interesting questions than answers. This is a positive sign! Executive sponsors and data providers may be able to provide additional information. For example, the \"number of night tickets,\" \"number of day tickets,\" and \"number of weekly passes\" sold."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 3.5.1.6 Total days open"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The cumulative total days open for all resorts in each state yielded an interesting result."
]
},
{
"cell_type": "code",
"execution_count": 233,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# set figure size & grab state data\n",
"plt.rcParams[\"figure.figsize\"] = [16,8]\n",
"days = state_summary_newind.state_total_days_open.sort_values(ascending=False).reset_index()\n",
"\n",
"\n",
"# data and styling for bar plot\n",
"sns.barplot(x='state', y='state_total_days_open', color='#F16775', data=days)\n",
"plt.title('U.S. State by Total Skiing Days Open Across All Resorts', fontsize=15)\n",
"plt.xticks(rotation=90, fontsize=12)\n",
"plt.xlabel('State', fontsize=14)\n",
"plt.ylabel('Days', fontsize=14);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The total days open seems to bear some resemblance to the number of resorts. This is reasonable. The more resorts in a state the greater the chances a resort will be open at any point in the season, thus, the state will have more ski days. \n",
"\n",
"New Hampshire is an interesting case. It made it into the top five, despite being a small state that didn't make it into the top five for resorts per state. This is likely due both to its average annual snowfall of 60\" to 150\" and its proximity to New York and, oft overlooked, Connecticut. The Granite State is not without competition. Vermont and Maine have comparable snowfall and are two of New Hampshire's neighbors, yet they are not ranked next to one another. In fact, Maine is ranked 16th, just after Montana in our 15th spot."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.5.2 Resort Density"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There is a fair amount of heterogeneity in our data set with respect to ski destinations. The U.S. has large states that are not necessarily populous, as well as small states that are densely populated. Some states host far more resorts than others, while other states maintain a larger total-skiing area. States with the most total days skiing per season are not necessarily those with the most resorts. New York is well equipped for night-skiing enthusiasts and has the most resorts.\n",
"\n",
"State size and/or population doesn't seem to tell us much. Relative comparisons like the ratio of resorts serving a given population or area may be fruitful to explore. Such metrics could provide insight into resort density."
]
},
{
"cell_type": "code",
"execution_count": 234,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
state
\n",
"
resorts_per_state
\n",
"
state_total_skiable_area_ac
\n",
"
state_total_days_open
\n",
"
state_total_terrain_parks
\n",
"
state_total_nightskiing_ac
\n",
"
resorts_per_100kcapita
\n",
"
resorts_per_100ksq_mile
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
Alaska
\n",
"
3
\n",
"
2280.0
\n",
"
345.0
\n",
"
4.0
\n",
"
580.0
\n",
"
0.410091
\n",
"
0.450867
\n",
"
\n",
"
\n",
"
1
\n",
"
Arizona
\n",
"
2
\n",
"
1577.0
\n",
"
237.0
\n",
"
6.0
\n",
"
80.0
\n",
"
0.027477
\n",
"
1.754540
\n",
"
\n",
"
\n",
"
2
\n",
"
California
\n",
"
20
\n",
"
21148.0
\n",
"
2583.0
\n",
"
78.0
\n",
"
587.0
\n",
"
0.050617
\n",
"
12.217844
\n",
"
\n",
"
\n",
"
3
\n",
"
Colorado
\n",
"
22
\n",
"
43682.0
\n",
"
3258.0
\n",
"
74.0
\n",
"
428.0
\n",
"
0.382028
\n",
"
21.134744
\n",
"
\n",
"
\n",
"
4
\n",
"
Connecticut
\n",
"
5
\n",
"
358.0
\n",
"
353.0
\n",
"
10.0
\n",
"
256.0
\n",
"
0.140242
\n",
"
90.203861
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" state resorts_per_state state_total_skiable_area_ac \\\n",
"0 Alaska 3 2280.0 \n",
"1 Arizona 2 1577.0 \n",
"2 California 20 21148.0 \n",
"3 Colorado 22 43682.0 \n",
"4 Connecticut 5 358.0 \n",
"\n",
" state_total_days_open state_total_terrain_parks \\\n",
"0 345.0 4.0 \n",
"1 237.0 6.0 \n",
"2 2583.0 78.0 \n",
"3 3258.0 74.0 \n",
"4 353.0 10.0 \n",
"\n",
" state_total_nightskiing_ac resorts_per_100kcapita resorts_per_100ksq_mile \n",
"0 580.0 0.410091 0.450867 \n",
"1 80.0 0.027477 1.754540 \n",
"2 587.0 0.050617 12.217844 \n",
"3 428.0 0.382028 21.134744 \n",
"4 256.0 0.140242 90.203861 "
]
},
"execution_count": 234,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# The 100_000 scaling is based on eyeballing the magnitudes of the data\n",
"state_summary['resorts_per_100kcapita'] = 100_000 * state_summary.resorts_per_state / state_summary.state_population\n",
"state_summary['resorts_per_100ksq_mile'] = 100_000 * state_summary.resorts_per_state / state_summary.state_area_sq_miles\n",
"state_summary.drop(columns=['state_population', 'state_area_sq_miles'], inplace=True)\n",
"state_summary.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Calculating resorts per 100,000 people and 100,000 square miles provides us with a window into resort density relative to each state's population and size."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Our population level data has a pronounced right skew; it cannot go below zero. This lower bound is responsible for the data's abnormal shape. The rightmost bars consist largely of states where few resorts reside and states whose populations dwarf the number available resorts."
]
},
{
"cell_type": "code",
"execution_count": 235,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams[\"figure.figsize\"] = [16,8]\n",
"state_summary.resorts_per_100kcapita.hist(bins=30)\n",
"plt.title('Resorts per 100,000 People', fontsize=14)\n",
"plt.xlabel('Resorts per 100k People', fontsize=13)\n",
"plt.ylabel('Count', fontsize=13);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Our data concerning resorts per 100k square miles has a similarly pronounced right skew for the same reasons listed above. The rightmost bars consist largely of states where few resorts reside and states that are quite large."
]
},
{
"cell_type": "code",
"execution_count": 236,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"state_summary.resorts_per_100ksq_mile.hist(bins=30)\n",
"plt.xlabel('Number of resorts per 100k square miles')\n",
"plt.ylabel('Count')\n",
"plt.title('Resorts per 100,000 Square Miles', fontsize=14)\n",
"plt.xlabel('Resorts per 100k Square Miles', fontsize=13)\n",
"plt.ylabel('Count', fontsize=13);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Despite the pronounced skew of both distributions, there is a disernable area of clustering."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 3.5.2.1 Top states by resort density"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looking at resorts per capita, we see not only which states are top destinations, but also where Montana fits among them."
]
},
{
"cell_type": "code",
"execution_count": 237,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"top_ten_capita = state_summary.set_index('state').resorts_per_100kcapita.sort_values(ascending=False).reset_index()\n",
"\n",
"# set figure size & grab state data\n",
"plt.rcParams[\"figure.figsize\"] = [16,8]\n",
"top_ten_capita = top_ten_capita.iloc[0:10, :]\n",
"\n",
"# data and styling for bar plot\n",
"sns.barplot(x='state', y='resorts_per_100kcapita', color='#0f4d92', data=top_ten_capita)\n",
"plt.title('Top 10 States: Resorts Per 100k ', fontsize=15)\n",
"plt.xticks(rotation=90, fontsize=12)\n",
"plt.xlabel('State', fontsize=14)\n",
"plt.ylabel('Resorts Per 100k People', fontsize=14);"
]
},
{
"cell_type": "code",
"execution_count": 238,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"top_ten_area = state_summary.set_index('state').resorts_per_100ksq_mile.sort_values(ascending=False).reset_index()\n",
"\n",
"# set figure size & grab state data\n",
"plt.rcParams[\"figure.figsize\"] = [16,8]\n",
"top_ten_area = top_ten_area.iloc[0:10, :]\n",
"\n",
"# data and styling for bar plot\n",
"sns.barplot(x='state', y='resorts_per_100ksq_mile', color='#951829', data=top_ten_area)\n",
"plt.title('Top 10 States: Resorts Per 100 Square Miles', fontsize=15)\n",
"plt.xticks(rotation=90, fontsize=12)\n",
"plt.xlabel('State', fontsize=14)\n",
"plt.ylabel('Resorts Per 100k Square Miles', fontsize=14);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It's no surprise why New Hampshire, Vermont, Massachusetts, Connecticut, and Rhode Island lead the pack in resorts per 100,000 square miles: All are small states with extremely heavy snowfall."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.5.3 Visualizing High Dimensional Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We have an overview of the U.S. ski market and state-level statistics that could assist us in our primary task: pricing weekend tickets to ski in Montana. It's highly unlikely that all statistics are of equal value. One way to disentangle this interconnected web of relationships is via [principle components analysis](https://scikit-learn.org/stable/modules/generated/sklearn.decomposition.PCA.html#sklearn.decomposition.PCA) (PCA). Applying PCA to our design matrix will help us locate linear combinations of features that are uncorrelated with one another and order these derivative features by the amount of variance they explain. We can then use this information to visualize the data in a lower dimension (e.g., 2 down from 7) and quantify how much variance each component explains. We also have the option of exploring how our original features contribute to PCA-derived features."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The basic steps in this process are:\n",
"\n",
" 1. Scale the data (important here because our features are heterogenous).\n",
" 2. Fit the PCA transformation to our design matrix by \"learning\" it from the data. \n",
" 3. Apply the transformation to the data, creating derived features.\n",
" 4. Optionally, look for patterns in the data using the aforementioned derived features and explore related coefficients."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 3.5.3.1 Scale the data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We want numeric data here, yet need the state labels. Hence, it's wise to hang onto these and set the state as the index. We also want to capture the column names. This is inevitably a step in almost every data science project."
]
},
{
"cell_type": "code",
"execution_count": 239,
"metadata": {},
"outputs": [
{
"data": {
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resorts_per_state
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state_total_skiable_area_ac
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580.0
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Arizona
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California
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"text/plain": [
" resorts_per_state state_total_skiable_area_ac \\\n",
"state \n",
"Alaska 3 2280.0 \n",
"Arizona 2 1577.0 \n",
"California 20 21148.0 \n",
"Colorado 22 43682.0 \n",
"Connecticut 5 358.0 \n",
"\n",
" state_total_days_open state_total_terrain_parks \\\n",
"state \n",
"Alaska 345.0 4.0 \n",
"Arizona 237.0 6.0 \n",
"California 2583.0 78.0 \n",
"Colorado 3258.0 74.0 \n",
"Connecticut 353.0 10.0 \n",
"\n",
" state_total_nightskiing_ac resorts_per_100kcapita \\\n",
"state \n",
"Alaska 580.0 0.410091 \n",
"Arizona 80.0 0.027477 \n",
"California 587.0 0.050617 \n",
"Colorado 428.0 0.382028 \n",
"Connecticut 256.0 0.140242 \n",
"\n",
" resorts_per_100ksq_mile \n",
"state \n",
"Alaska 0.450867 \n",
"Arizona 1.754540 \n",
"California 12.217844 \n",
"Colorado 21.134744 \n",
"Connecticut 90.203861 "
]
},
"execution_count": 239,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Create a new dataframe, `state_summary_scale` from `state_summary` whilst setting the index to 'state'\n",
"state_summary_scale = state_summary.set_index('state')\n",
"\n",
"# Save the state labels (using the index attribute of `state_summary_scale`) into the variable 'state_summary_index'\n",
"state_summary_index = state_summary_scale.index\n",
"\n",
"# Save the column names (using the `columns` attribute) of `state_summary_scale` into the variable 'state_summary_columns'\n",
"state_summary_columns = state_summary_scale.columns\n",
"state_summary_scale.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A cursory glance at the features above reveals our data are on vastly different scales. Standardization will remedy the situation, preventing values large in magnitude from dominating our analysis going forward."
]
},
{
"cell_type": "code",
"execution_count": 240,
"metadata": {},
"outputs": [],
"source": [
"state_summary_scale = scale(state_summary_scale)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note, `scale()` returns an ndarray, so we lose all column names. Because we want to visualise scaled data, we had the foresight to copy feature names to a separate variable. Now we can construct a data frame from the ndarray and reintroduce the column names."
]
},
{
"cell_type": "code",
"execution_count": 241,
"metadata": {},
"outputs": [
{
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\n",
"
-0.681777
\n",
"
-0.552331
\n",
"
-0.431418
\n",
"
-0.414443
\n",
"
1.503712
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" resorts_per_state state_total_skiable_area_ac state_total_days_open \\\n",
"0 -0.808768 -0.387854 -0.691515 \n",
"1 -0.935704 -0.460022 -0.822973 \n",
"2 1.349155 1.549085 2.032602 \n",
"3 1.603028 3.862367 2.854219 \n",
"4 -0.554894 -0.585162 -0.681777 \n",
"\n",
" state_total_terrain_parks state_total_nightskiing_ac \\\n",
"0 -0.821448 0.067082 \n",
"1 -0.731742 -0.702208 \n",
"2 2.497663 0.077852 \n",
"3 2.318252 -0.166782 \n",
"4 -0.552331 -0.431418 \n",
"\n",
" resorts_per_100kcapita resorts_per_100ksq_mile \n",
"0 0.138745 -0.690613 \n",
"1 -0.645608 -0.658740 \n",
"2 -0.598171 -0.402928 \n",
"3 0.081217 -0.184924 \n",
"4 -0.414443 1.503712 "
]
},
"execution_count": 241,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Create a new dataframe from `state_summary_scale` using the column names we saved in `state_summary_columns`\n",
"state_summary_scaled_df = pd.DataFrame(state_summary_scale, columns=state_summary_columns)\n",
"state_summary_scaled_df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### 3.5.3.1.1 Verifying the scaling"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Below, we validate our steps. When there's money on the line for the client, we would be remiss if we skipped this step."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, we check the mean of the scaled features using Panda's `mean()` data frame method."
]
},
{
"cell_type": "code",
"execution_count": 242,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"resorts_per_state -3.568574e-17\n",
"state_total_skiable_area_ac 6.066576e-17\n",
"state_total_days_open -3.965082e-17\n",
"state_total_terrain_parks 2.854859e-17\n",
"state_total_nightskiing_ac 1.903239e-17\n",
"resorts_per_100kcapita -5.075305e-17\n",
"resorts_per_100ksq_mile -4.123686e-17\n",
"dtype: float64"
]
},
"execution_count": 242,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Call `state_summary_scaled_df`'s `mean()` method\n",
"state_summary_scaled_df.mean()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"All means are vanishingly small and effectively zero. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Similarly, we check feature standard deviation using Pandas `std()` data frame method."
]
},
{
"cell_type": "code",
"execution_count": 243,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"resorts_per_state 1.014599\n",
"state_total_skiable_area_ac 1.014599\n",
"state_total_days_open 1.014599\n",
"state_total_terrain_parks 1.014599\n",
"state_total_nightskiing_ac 1.014599\n",
"dtype: float64"
]
},
"execution_count": 243,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Call `state_summary_scaled_df`'s `std()` method\n",
"state_summary_scaled_df.std().head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"One would think the numbers would be closer to 1 than this. The `scale()` method, however, uses the biased estimator for standard deviation (dof=0). This doesn't mean our approach is deficient. Rather, it indicates `scale()` calculates sample standard deviation using the number of all observations provided. The `std()` method, on the other hand, defaults to using dof=1, that is it's normalized by N-1. Restated, the `std()` function assumes we want the best estimate of the population parameter based on the given sample and uses Bessel's correction to achieve this result. We can tell it to return the biased estimate instead, so as to match the results of `scale()`.\n",
"\n",
"If the reader is concerned about our indifference to Bessel's correction, don't be. We have the entire population we need and, thus, can side-step the Bessel."
]
},
{
"cell_type": "code",
"execution_count": 244,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"resorts_per_state 1.0\n",
"state_total_skiable_area_ac 1.0\n",
"state_total_days_open 1.0\n",
"state_total_terrain_parks 1.0\n",
"state_total_nightskiing_ac 1.0\n",
"resorts_per_100kcapita 1.0\n",
"resorts_per_100ksq_mile 1.0\n",
"dtype: float64"
]
},
"execution_count": 244,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Call `std()` & pass in ddof=0 \n",
"state_summary_scaled_df.std(ddof=0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now our standard deviation calculations are consistent with both our scaled values and expectations. This exercise illustrates how different routines that do ostensibly the same thing can exhibit unanticipated behavior. Hence, we validate our work."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 3.5.3.2 Calculate the PCA transformation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Fit the PCA transformation using the scaled data."
]
},
{
"cell_type": "code",
"execution_count": 245,
"metadata": {},
"outputs": [],
"source": [
"state_pca = PCA().fit(state_summary_scale)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the cumulative variance ratio with number of components."
]
},
{
"cell_type": "code",
"execution_count": 246,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Visualize the cumulative explained variance ratio with number of components\n",
"plt.subplots(figsize=(10, 6))\n",
"plt.plot(state_pca.explained_variance_ratio_.cumsum(), linewidth=1.5)\n",
"plt.xlabel('Number of Components', fontsize=14)\n",
"plt.ylabel('Cumulative Ratio Variance', fontsize=14)\n",
"plt.title('Cumulative Variance Ratio Explained by PCA Components for State/Resort Summary Statistics', fontsize=15);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The first two components seem to account for over 75% of the variance, and the first four for over 95%."
]
},
{
"cell_type": "code",
"execution_count": 247,
"metadata": {},
"outputs": [],
"source": [
"# Apply the transformation to the data to obtain the derived features.\n",
"state_pca_x = state_pca.transform(state_summary_scale)"
]
},
{
"cell_type": "code",
"execution_count": 248,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(35, 7)"
]
},
"execution_count": 248,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Validate the output by checking design matrix dimensions\n",
"state_pca_x.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Below, we plot the first two derived features (the first two principle components) and label each point with the name of the state. The code extracts and plots the first and second columns from the transformed data (`state_pca_x`) as x and y coordinates. Recall we retained our state labels to enable the annotation of the plot using the aptly named `plt.annotate` function. We use the second (i.e., index 1) value of the cumulative variance ratio and include it in our plot's title. This boldly highlights the percentage variance explained by the two PCA components we've plotted. We finish by creating an appropriately sized and well-labelled scatterplot to convey all of this information."
]
},
{
"cell_type": "code",
"execution_count": 249,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = state_pca_x[:, 0]\n",
"y = state_pca_x[:, 1]\n",
"state = state_summary_index\n",
"pc_var = 100 * state_pca.explained_variance_ratio_.cumsum()[1]\n",
"plt.subplots(figsize=(20,12))\n",
"plt.scatter(x=x, y=y, s=30, alpha=0.5, c='red')\n",
"plt.xlabel('First Component', fontsize=14)\n",
"plt.ylabel('Second Component', fontsize=14)\n",
"plt.title(f'Ski State Summary PCA, {pc_var:.1f}% variance explained', fontsize=15)\n",
"for s, x, y in zip(state, x, y):\n",
" plt.annotate(s, (x, y))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 3.5.3.3 Average ticket price by state"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, all point markers for the states are the same size and color. We've visualized relationships between the states based on features such as the total skiable terrain area, but our ultimate interest lies in adult weekend ticket prices. We know ticket prices for resorts in each state, so it might be interesting to see if there's any pattern there."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Western states, followed by a mix of mid-Atlantic and Northeastern and Northwestern states have the highest adult weekend prices. This doesn't bode well for Montana, which is fourth from the bottom of our top 30 states for skiing. "
]
},
{
"cell_type": "code",
"execution_count": 250,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Calculate the average 'AdultWeekend' ticket price by state\n",
"state_avg_price = ski_data.groupby('state')['AdultWeekend'].mean().reset_index().sort_values(ascending=False, by='AdultWeekend')\n",
"plt.rcParams[\"figure.figsize\"] = [16,8]\n",
"\n",
"state_avg_price = state_avg_price.iloc[0:30, :]\n",
"\n",
"# data and styling for bar plot\n",
"sns.barplot(x='state', y='AdultWeekend', color='#641A2B', data=state_avg_price)\n",
"plt.title('Top 30 States by Adult Weekend Ticket Price', fontsize=15)\n",
"plt.xticks(rotation=90, fontsize=14)\n",
"plt.xlabel('State', fontsize=14)\n",
"plt.ylabel('Adult Weekend Ticket Price', fontsize=15);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The admittedly less aesthetically pleasing plot below confirms what we see above: We see clusters near 80 (Utah, Colorado, Vermont), as well as a substantial block of resorts that cluster between 40 and 60, which includes Montana."
]
},
{
"cell_type": "code",
"execution_count": 251,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams[\"figure.figsize\"] = [16,8]\n",
"state_avg_price.hist(bins=30)\n",
"plt.title('Distribution of State Averaged Prices', fontsize=15)\n",
"plt.xlabel('Mean State Adult Weekend Ticket Price', fontsize=14)\n",
"plt.ylabel('Count', fontsize=14);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 3.5.3.4 Adding average ticket price to scatter plot"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There's a lot to unpack here. We extracted indexes and column names from a data frame and the first two principle components from an array. It's becoming a bit hard to keep track of them all. Below we create a new data frame to do this."
]
},
{
"cell_type": "code",
"execution_count": 252,
"metadata": {},
"outputs": [
{
"data": {
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PC1
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PC2
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state
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Alaska
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-1.339200
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-0.178909
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Arizona
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-1.847611
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-0.375977
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California
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3.185039
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-1.201587
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Colorado
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4.433141
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-0.873170
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\n",
"
\n",
"
Connecticut
\n",
"
-0.986216
\n",
"
1.013886
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" PC1 PC2\n",
"state \n",
"Alaska -1.339200 -0.178909\n",
"Arizona -1.847611 -0.375977\n",
"California 3.185039 -1.201587\n",
"Colorado 4.433141 -0.873170\n",
"Connecticut -0.986216 1.013886"
]
},
"execution_count": 252,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Create a dataframe containing the values of the first two PCA components\n",
"pca_df = pd.DataFrame({'PC1': state_pca_x[:, 0], 'PC2': state_pca_x[:, 1]}, index=state_summary_index)\n",
"pca_df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That worked, and we have the states to use as an index! Now, let us reformat our average price data."
]
},
{
"cell_type": "code",
"execution_count": 253,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
index
\n",
"
AdultWeekend
\n",
"
\n",
"
\n",
"
state
\n",
"
\n",
"
\n",
"
\n",
" \n",
" \n",
"
\n",
"
Utah
\n",
"
27
\n",
"
93.000000
\n",
"
\n",
"
\n",
"
Colorado
\n",
"
3
\n",
"
90.714286
\n",
"
\n",
"
\n",
"
Vermont
\n",
"
28
\n",
"
87.900000
\n",
"
\n",
"
\n",
"
Arizona
\n",
"
1
\n",
"
83.500000
\n",
"
\n",
"
\n",
"
California
\n",
"
2
\n",
"
81.416667
\n",
"
\n",
"
\n",
"
Nevada
\n",
"
16
\n",
"
81.000000
\n",
"
\n",
"
\n",
"
New Jersey
\n",
"
18
\n",
"
79.990000
\n",
"
\n",
"
\n",
"
West Virginia
\n",
"
31
\n",
"
79.750000
\n",
"
\n",
"
\n",
"
Maryland
\n",
"
10
\n",
"
79.000000
\n",
"
\n",
"
\n",
"
New Hampshire
\n",
"
17
\n",
"
76.500000
\n",
"
\n",
"
\n",
"
Washington
\n",
"
30
\n",
"
70.144286
\n",
"
\n",
"
\n",
"
Virginia
\n",
"
29
\n",
"
68.000000
\n",
"
\n",
"
\n",
"
New Mexico
\n",
"
19
\n",
"
65.666667
\n",
"
\n",
"
\n",
"
Tennessee
\n",
"
26
\n",
"
65.000000
\n",
"
\n",
"
\n",
"
North Carolina
\n",
"
21
\n",
"
64.166667
\n",
"
\n",
"
\n",
"
Pennsylvania
\n",
"
24
\n",
"
63.687500
\n",
"
\n",
"
\n",
"
Maine
\n",
"
9
\n",
"
61.000000
\n",
"
\n",
"
\n",
"
Oregon
\n",
"
23
\n",
"
59.857143
\n",
"
\n",
"
\n",
"
New York
\n",
"
20
\n",
"
58.945455
\n",
"
\n",
"
\n",
"
Alaska
\n",
"
0
\n",
"
57.333333
\n",
"
\n",
"
\n",
"
Massachusetts
\n",
"
11
\n",
"
57.200000
\n",
"
\n",
"
\n",
"
Connecticut
\n",
"
4
\n",
"
56.800000
\n",
"
\n",
"
\n",
"
Wyoming
\n",
"
33
\n",
"
56.166667
\n",
"
\n",
"
\n",
"
Idaho
\n",
"
5
\n",
"
55.900000
\n",
"
\n",
"
\n",
"
Wisconsin
\n",
"
32
\n",
"
54.266667
\n",
"
\n",
"
\n",
"
Michigan
\n",
"
12
\n",
"
52.400000
\n",
"
\n",
"
\n",
"
Montana
\n",
"
15
\n",
"
51.909091
\n",
"
\n",
"
\n",
"
South Dakota
\n",
"
25
\n",
"
51.500000
\n",
"
\n",
"
\n",
"
Minnesota
\n",
"
13
\n",
"
49.667143
\n",
"
\n",
"
\n",
"
Indiana
\n",
"
7
\n",
"
48.500000
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" index AdultWeekend\n",
"state \n",
"Utah 27 93.000000\n",
"Colorado 3 90.714286\n",
"Vermont 28 87.900000\n",
"Arizona 1 83.500000\n",
"California 2 81.416667\n",
"Nevada 16 81.000000\n",
"New Jersey 18 79.990000\n",
"West Virginia 31 79.750000\n",
"Maryland 10 79.000000\n",
"New Hampshire 17 76.500000\n",
"Washington 30 70.144286\n",
"Virginia 29 68.000000\n",
"New Mexico 19 65.666667\n",
"Tennessee 26 65.000000\n",
"North Carolina 21 64.166667\n",
"Pennsylvania 24 63.687500\n",
"Maine 9 61.000000\n",
"Oregon 23 59.857143\n",
"New York 20 58.945455\n",
"Alaska 0 57.333333\n",
"Massachusetts 11 57.200000\n",
"Connecticut 4 56.800000\n",
"Wyoming 33 56.166667\n",
"Idaho 5 55.900000\n",
"Wisconsin 32 54.266667\n",
"Michigan 12 52.400000\n",
"Montana 15 51.909091\n",
"South Dakota 25 51.500000\n",
"Minnesota 13 49.667143\n",
"Indiana 7 48.500000"
]
},
"execution_count": 253,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# our average state prices also have state as an index\n",
"state_avg_price = state_avg_price.reset_index().set_index('state')\n",
"state_avg_price.head(50)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, we concatenate both of the above parts on axis 1 and using the indexes."
]
},
{
"cell_type": "code",
"execution_count": 254,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
PC1
\n",
"
PC2
\n",
"
AdultWeekend
\n",
"
\n",
"
\n",
"
state
\n",
"
\n",
"
\n",
"
\n",
"
\n",
" \n",
" \n",
"
\n",
"
Alaska
\n",
"
-1.339200
\n",
"
-0.178909
\n",
"
57.333333
\n",
"
\n",
"
\n",
"
Arizona
\n",
"
-1.847611
\n",
"
-0.375977
\n",
"
83.500000
\n",
"
\n",
"
\n",
"
California
\n",
"
3.185039
\n",
"
-1.201587
\n",
"
81.416667
\n",
"
\n",
"
\n",
"
Colorado
\n",
"
4.433141
\n",
"
-0.873170
\n",
"
90.714286
\n",
"
\n",
"
\n",
"
Connecticut
\n",
"
-0.986216
\n",
"
1.013886
\n",
"
56.800000
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" PC1 PC2 AdultWeekend\n",
"state \n",
"Alaska -1.339200 -0.178909 57.333333\n",
"Arizona -1.847611 -0.375977 83.500000\n",
"California 3.185039 -1.201587 81.416667\n",
"Colorado 4.433141 -0.873170 90.714286\n",
"Connecticut -0.986216 1.013886 56.800000"
]
},
"execution_count": 254,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Concatenate `pca_df` and `state_avg_price` along axis 1\n",
"state_avg_price = state_avg_price.drop(['index'], axis=1, inplace=False)\n",
"pca_df = pd.merge(pca_df, state_avg_price, left_index=True, right_index=True)\n",
"pca_df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There seems to be a wide range of average ticket price histogram above, but it may be hard to pick out differences when using the value for point size. Consequently, we add another column where we seperate these prices into quartiles; that might show something."
]
},
{
"cell_type": "code",
"execution_count": 255,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"text/plain": [
" PC1 PC2 AdultWeekend Quartile\n",
"state \n",
"Alaska -1.339200 -0.178909 57.333333 (56.3, 63.9]\n",
"Arizona -1.847611 -0.375977 83.500000 (79.6, 93.0]\n",
"California 3.185039 -1.201587 81.416667 (79.6, 93.0]\n",
"Colorado 4.433141 -0.873170 90.714286 (79.6, 93.0]\n",
"Connecticut -0.986216 1.013886 56.800000 (56.3, 63.9]\n",
"Idaho 0.725129 0.105061 55.900000 (48.4, 56.3]\n",
"Indiana -1.921248 -0.335827 48.500000 (48.4, 56.3]\n",
"Maine -0.223140 0.531707 61.000000 (56.3, 63.9]\n",
"Maryland -2.043400 -0.272262 79.000000 (63.9, 79.6]\n",
"Massachusetts 0.019152 0.960975 57.200000 (56.3, 63.9]\n",
"Michigan 3.576752 -1.222949 52.400000 (48.4, 56.3]\n",
"Minnesota 0.786618 -0.631835 49.667143 (48.4, 56.3]\n",
"Montana 1.075413 0.400926 51.909091 (48.4, 56.3]\n",
"Nevada -1.527901 -0.209092 81.000000 (79.6, 93.0]\n",
"New Hampshire 2.259060 3.292597 76.500000 (63.9, 79.6]\n",
"New Jersey -1.823846 -0.085881 79.990000 (79.6, 93.0]\n",
"New Mexico -0.432977 0.081576 65.666667 (63.9, 79.6]\n",
"New York 4.684526 -1.473493 58.945455 (56.3, 63.9]\n",
"North Carolina -1.224096 -0.383822 64.166667 (63.9, 79.6]\n",
"Oregon 0.550743 -0.856378 59.857143 (56.3, 63.9]\n",
"Pennsylvania 1.793201 -0.755850 63.687500 (56.3, 63.9]\n",
"South Dakota -1.925200 -0.031439 51.500000 (48.4, 56.3]\n",
"Tennessee -2.204557 -0.288542 65.000000 (63.9, 79.6]\n",
"Utah 1.477337 -0.585929 93.000000 (79.6, 93.0]\n",
"Vermont 2.669393 4.858448 87.900000 (79.6, 93.0]\n",
"Virginia -1.660220 -0.271850 68.000000 (63.9, 79.6]\n",
"Washington 0.977347 -1.463334 70.144286 (63.9, 79.6]\n",
"West Virginia -1.426141 0.037033 79.750000 (79.6, 93.0]\n",
"Wisconsin 1.340775 -0.575771 54.266667 (48.4, 56.3]\n",
"Wyoming -0.281454 1.370158 56.166667 (48.4, 56.3]"
]
},
"execution_count": 257,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca_df.head(50)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We now have enough information to recreate the scatterplot, now adding marker size for ticket price and colour for the discrete quartile. Notice in the code below how we iterate over each quartile and plot the points in the same quartile group as one. This creates an informative legend containing quartiles with points coloured by quartile and sized by ticket price (higher prices are represented by larger point markers)."
]
},
{
"cell_type": "code",
"execution_count": 258,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = pca_df.PC1\n",
"y = pca_df.PC2\n",
"price = pca_df.AdultWeekend\n",
"quartiles = pca_df.Quartile\n",
"state = pca_df.index\n",
"pc_var = 100 * state_pca.explained_variance_ratio_.cumsum()[1]\n",
"fig, ax = plt.subplots(figsize=(20,12))\n",
"for q in quartiles.cat.categories:\n",
" im = quartiles == q\n",
" ax.scatter(x=x[im], y=y[im], s=price[im], label=q)\n",
"ax.set_xlabel('First Component', fontsize=14)\n",
"ax.set_ylabel('Second Component', fontsize=14)\n",
"plt.legend()\n",
"ax.set_title(f'Ski States Summary PCA: {pc_var:.1f}% Explained Variance', fontsize=15)\n",
"for s, x, y in zip(state, x, y):\n",
" plt.annotate(s, (x, y))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Below, we can see how many properties fell into each quartile. The lowest and second highest quartiles had 8 and 7 properties, respectively. The two remaining quartiles also had 8 and 7 properties with 8 resorts falling into the highest quartile and 7 resorts falling into the second lowest. "
]
},
{
"cell_type": "code",
"execution_count": 259,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(48.4, 56.3] 8\n",
"(79.6, 93.0] 8\n",
"(56.3, 63.9] 7\n",
"(63.9, 79.6] 7\n",
"Name: Quartile, dtype: int64"
]
},
"execution_count": 259,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca_df.Quartile.value_counts()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We see the same distribution of states in the dot plot above before, but with additional information about average price. There isn't an obvious pattern. The red points representing the upper quartile of price can be seen to the left, the right, and top. There's also significant spread among other quartiles. In this representation of the ski summaries for each state, which accounts for some 77% of the variance, there is simply no price pattern. The only noteworthy feature is that, with respect to Montana, principal component 1 accounts for slightly more of the variance than principal component 2."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's adjust our plot so that it contemplates ticket price, as doing so may help us better understand the spread of the data before us."
]
},
{
"cell_type": "code",
"execution_count": 260,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Create a seaborn scatterplot by calling `sns.scatterplot`\n",
"x = pca_df.PC1\n",
"y = pca_df.PC2\n",
"state = pca_df.index\n",
"plt.subplots(figsize=(12, 10))\n",
"# Note the argument below to make sure we get the colours in the ascending\n",
"# order we intuitively expect!\n",
"sns.scatterplot(x=x, y=y, size='AdultWeekend', hue='Quartile', \n",
" hue_order=pca_df.Quartile.cat.categories, data=pca_df)\n",
"#and we can still annotate with the state labels\n",
"for s, x, y in zip(state, x, y):\n",
" plt.annotate(s, (x, y)) \n",
"plt.title(f'Ski States Summary PCA, {pc_var:.1f}% Variance Explained');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Once again, little in the way of a generalized pattern is exhibited by the data. Lower ticket price resorts seem to cluster in the middle of the plot. Variance with respect to California, Michigan, Colorado, and New York seem to dominated by PC1, while PC2 is vital to understanding the variance of New Hampshire and Vermont. A distinctive cluster on the far left includes resorts at different price points and in different geographical regions."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can examine the contents of the principal components to identify the feature(s) that best explain the observed variance."
]
},
{
"cell_type": "code",
"execution_count": 261,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
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"\n",
"
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" \n",
"
\n",
"
\n",
"
resorts_per_state
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"
state_total_skiable_area_ac
\n",
"
state_total_days_open
\n",
"
state_total_terrain_parks
\n",
"
state_total_nightskiing_ac
\n",
"
resorts_per_100kcapita
\n",
"
resorts_per_100ksq_mile
\n",
"
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" \n",
" \n",
"
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0
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"
0.486285
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0.311084
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0.490065
\n",
"
0.487568
\n",
"
0.337788
\n",
"
0.191142
\n",
"
0.195526
\n",
"
\n",
"
\n",
"
1
\n",
"
-0.091373
\n",
"
-0.128372
\n",
"
-0.044154
\n",
"
-0.044129
\n",
"
-0.363549
\n",
"
0.662477
\n",
"
0.632638
\n",
"
\n",
"
\n",
"
2
\n",
"
-0.174837
\n",
"
0.729823
\n",
"
0.113447
\n",
"
-0.005978
\n",
"
-0.482476
\n",
"
0.220286
\n",
"
-0.377593
\n",
"
\n",
"
\n",
"
3
\n",
"
0.058371
\n",
"
-0.129422
\n",
"
-0.173057
\n",
"
-0.179294
\n",
"
0.448058
\n",
"
0.683146
\n",
"
-0.500303
\n",
"
\n",
"
\n",
"
4
\n",
"
-0.193396
\n",
"
0.558532
\n",
"
-0.248170
\n",
"
-0.399006
\n",
"
0.505504
\n",
"
-0.076167
\n",
"
0.410499
\n",
"
\n",
"
\n",
"
5
\n",
"
-0.795326
\n",
"
-0.058611
\n",
"
0.099035
\n",
"
0.538666
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"
0.245955
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"
0.059570
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"
-0.003317
\n",
"
\n",
"
\n",
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6
\n",
"
-0.226402
\n",
"
-0.148198
\n",
"
0.802291
\n",
"
-0.527997
\n",
"
0.064538
\n",
"
0.004998
\n",
"
-0.011753
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" resorts_per_state state_total_skiable_area_ac state_total_days_open \\\n",
"0 0.486285 0.311084 0.490065 \n",
"1 -0.091373 -0.128372 -0.044154 \n",
"2 -0.174837 0.729823 0.113447 \n",
"3 0.058371 -0.129422 -0.173057 \n",
"4 -0.193396 0.558532 -0.248170 \n",
"5 -0.795326 -0.058611 0.099035 \n",
"6 -0.226402 -0.148198 0.802291 \n",
"\n",
" state_total_terrain_parks state_total_nightskiing_ac \\\n",
"0 0.487568 0.337788 \n",
"1 -0.044129 -0.363549 \n",
"2 -0.005978 -0.482476 \n",
"3 -0.179294 0.448058 \n",
"4 -0.399006 0.505504 \n",
"5 0.538666 0.245955 \n",
"6 -0.527997 0.064538 \n",
"\n",
" resorts_per_100kcapita resorts_per_100ksq_mile \n",
"0 0.191142 0.195526 \n",
"1 0.662477 0.632638 \n",
"2 0.220286 -0.377593 \n",
"3 0.683146 -0.500303 \n",
"4 -0.076167 0.410499 \n",
"5 0.059570 -0.003317 \n",
"6 0.004998 -0.011753 "
]
},
"execution_count": 261,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.DataFrame(state_pca.components_, columns=state_summary_columns)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It looks like `resorts_per_100kcapita` and `resorts_per_100ksq_mile` might count for quite a lot, in a positive sense. Sign matters in this context. A large negative coefficient multiplied by a large negative feature produces a large positive PCA score."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's examine our two outliers to see if they are consistent with our above assertion. Both New Hampshire and Vermont seem to have relative high numbers of resorts per capita and resorts per square mile in levels. "
]
},
{
"cell_type": "code",
"execution_count": 262,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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state
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New Hampshire
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Vermont
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resorts_per_state
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16
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15
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state_total_skiable_area_ac
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3427.0
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7239.0
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state_total_days_open
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1847.0
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1777.0
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state_total_terrain_parks
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43.0
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50.0
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state_total_nightskiing_ac
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376.0
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50.0
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resorts_per_100kcapita
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1.176721
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2.403889
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resorts_per_100ksq_mile
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171.141299
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155.990017
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" \n",
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],
"text/plain": [
" 17 29\n",
"state New Hampshire Vermont\n",
"resorts_per_state 16 15\n",
"state_total_skiable_area_ac 3427.0 7239.0\n",
"state_total_days_open 1847.0 1777.0\n",
"state_total_terrain_parks 43.0 50.0\n",
"state_total_nightskiing_ac 376.0 50.0\n",
"resorts_per_100kcapita 1.176721 2.403889\n",
"resorts_per_100ksq_mile 171.141299 155.990017"
]
},
"execution_count": 262,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"state_summary[state_summary.state.isin(['New Hampshire', 'Vermont'])].T"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Indeed, both states' large value for `resorts_per_100ksq_mile` in absolute terms puts them more than 3 standard deviations from the mean. But what do the data tell us after they have been scaled?"
]
},
{
"cell_type": "code",
"execution_count": 263,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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state_total_skiable_area_ac
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-0.270106
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state_total_days_open
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1.136735
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0.927813
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1.241783
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state_total_nightskiing_ac
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-0.246788
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resorts_per_100kcapita
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1.710326
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4.226004
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resorts_per_100ksq_mile
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3.482510
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3.112084
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" \n",
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],
"text/plain": [
" 17 29\n",
"resorts_per_state 0.841409 0.714472\n",
"state_total_skiable_area_ac -0.270106 0.121224\n",
"state_total_days_open 1.136735 1.051531\n",
"state_total_terrain_parks 0.927813 1.241783\n",
"state_total_nightskiing_ac -0.246788 -0.748365\n",
"resorts_per_100kcapita 1.710326 4.226004\n",
"resorts_per_100ksq_mile 3.482510 3.112084"
]
},
"execution_count": 263,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"state_summary_scaled_df[state_summary.state.isin(['New Hampshire', 'Vermont'])].T"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Vermont stands out on both resorts per 100k square miles and resorts per 100k people, however, New Hampshire has slightly more resorts per capita."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.5.4 Conclusion On How To Handle State Label"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Having examined our pricing data, we are now at a major decision point. Do we model at the national or local levels?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.5.5 Ski Resort Numeric Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The previous EDA gave us some potentially useful features, as well as validating an approach for how to subsequently handle the state labels in our modeling. Let's return to examining data."
]
},
{
"cell_type": "code",
"execution_count": 264,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"